Reading files

require(caret)

## Loading required package: caret
## Loading required package: lattice
## Loading required package: ggplot2

require(data.table)

## Loading required package: data.table

training <- fread('../data/pml-training.csv')
testing <- fread('../data/pml-testing.csv')

Cleaning data and removing NA columns

feature.names <- unique(c(names(testing), names(training))) 
for (name in feature.names[which(feature.names != 'classe')]){
    if (sum(!is.na(training[[name]])) == 0 | sum(!is.na(testing[[name]])) == 0){
        cat('Column', name, 'removed\n')
        training[[name]] <- NULL
        testing[[name]] <- NULL
    }
}

## Column max_roll_belt removed
## Column max_picth_belt removed
## Column min_roll_belt removed
## Column min_pitch_belt removed
## Column amplitude_roll_belt removed
## Column amplitude_pitch_belt removed
## Column var_total_accel_belt removed
## Column avg_roll_belt removed
## Column stddev_roll_belt removed
## Column var_roll_belt removed
## Column avg_pitch_belt removed
## Column stddev_pitch_belt removed
## Column var_pitch_belt removed
## Column avg_yaw_belt removed
## Column stddev_yaw_belt removed
## Column var_yaw_belt removed
## Column var_accel_arm removed
## Column avg_roll_arm removed
## Column stddev_roll_arm removed
## Column var_roll_arm removed
## Column avg_pitch_arm removed
## Column stddev_pitch_arm removed
## Column var_pitch_arm removed
## Column avg_yaw_arm removed
## Column stddev_yaw_arm removed
## Column var_yaw_arm removed
## Column max_roll_arm removed
## Column max_picth_arm removed
## Column max_yaw_arm removed
## Column min_roll_arm removed
## Column min_pitch_arm removed
## Column min_yaw_arm removed
## Column amplitude_roll_arm removed
## Column amplitude_pitch_arm removed
## Column amplitude_yaw_arm removed
## Column max_roll_dumbbell removed
## Column max_picth_dumbbell removed
## Column min_roll_dumbbell removed
## Column min_pitch_dumbbell removed
## Column amplitude_roll_dumbbell removed
## Column amplitude_pitch_dumbbell removed
## Column var_accel_dumbbell removed
## Column avg_roll_dumbbell removed
## Column stddev_roll_dumbbell removed
## Column var_roll_dumbbell removed
## Column avg_pitch_dumbbell removed
## Column stddev_pitch_dumbbell removed
## Column var_pitch_dumbbell removed
## Column avg_yaw_dumbbell removed
## Column stddev_yaw_dumbbell removed
## Column var_yaw_dumbbell removed
## Column max_roll_forearm removed
## Column max_picth_forearm removed
## Column min_roll_forearm removed
## Column min_pitch_forearm removed
## Column amplitude_roll_forearm removed
## Column amplitude_pitch_forearm removed
## Column var_accel_forearm removed
## Column avg_roll_forearm removed
## Column stddev_roll_forearm removed
## Column var_roll_forearm removed
## Column avg_pitch_forearm removed
## Column stddev_pitch_forearm removed
## Column var_pitch_forearm removed
## Column avg_yaw_forearm removed
## Column stddev_yaw_forearm removed
## Column var_yaw_forearm removed

## Warning in is.na(training[[name]]): is.na() applied to non-(list or vector)
## of type 'NULL'

## Column problem_id removed

feature.names <- names(testing)

Removing empty data

for (name in feature.names){
    tn <- table(training[[name]], useNA='ifany')
    tn <- tn/sum(tn)
    if ('' %in% names(tn)){
        if (tn[which(names(tn) == '')] > 0.9){
            cat('Column', name, 'removed\n')
            training[[name]] <- NULL
            testing[[name]] <- NULL
        }
    }
    if ('NA' %in% names(tn)){
        if (tn[which(names(tn) == 'NA')] > 0.9){
            cat('Column', name, 'removed\n')
            training[[name]] <- NULL
            testing[[name]] <- NULL
        }
    }
}

## Column kurtosis_roll_belt removed
## Column kurtosis_picth_belt removed
## Column kurtosis_yaw_belt removed
## Column skewness_roll_belt removed
## Column skewness_roll_belt.1 removed
## Column skewness_yaw_belt removed
## Column max_yaw_belt removed
## Column min_yaw_belt removed
## Column amplitude_yaw_belt removed
## Column kurtosis_roll_arm removed
## Column kurtosis_picth_arm removed
## Column kurtosis_yaw_arm removed
## Column skewness_roll_arm removed
## Column skewness_pitch_arm removed
## Column skewness_yaw_arm removed
## Column kurtosis_roll_dumbbell removed
## Column kurtosis_picth_dumbbell removed
## Column kurtosis_yaw_dumbbell removed
## Column skewness_roll_dumbbell removed
## Column skewness_pitch_dumbbell removed
## Column skewness_yaw_dumbbell removed
## Column max_yaw_dumbbell removed
## Column min_yaw_dumbbell removed
## Column amplitude_yaw_dumbbell removed
## Column kurtosis_roll_forearm removed
## Column kurtosis_picth_forearm removed
## Column kurtosis_yaw_forearm removed
## Column skewness_roll_forearm removed
## Column skewness_pitch_forearm removed
## Column skewness_yaw_forearm removed
## Column max_yaw_forearm removed
## Column min_yaw_forearm removed
## Column amplitude_yaw_forearm removed

feature.names <- names(testing)

Removing time values

technical <- c('V1', 'raw_timestamp_part_1', 'raw_timestamp_part_2', 'cvtd_timestamp', 'new_window', 'num_window')
for (name in technical){
    cat('Column', name, 'removed\n')
    training[[name]] <- NULL
    testing[[name]] <- NULL
}

## Column V1 removed
## Column raw_timestamp_part_1 removed
## Column raw_timestamp_part_2 removed
## Column cvtd_timestamp removed
## Column new_window removed
## Column num_window removed

feature.names <- names(testing)

Making model based on decison trees

summary(training)

##   user_name           roll_belt        pitch_belt          yaw_belt      
##  Length:19622       Min.   :-28.90   Min.   :-55.8000   Min.   :-180.00  
##  Class :character   1st Qu.:  1.10   1st Qu.:  1.7600   1st Qu.: -88.30  
##  Mode  :character   Median :113.00   Median :  5.2800   Median : -13.00  
##                     Mean   : 64.41   Mean   :  0.3053   Mean   : -11.21  
##                     3rd Qu.:123.00   3rd Qu.: 14.9000   3rd Qu.:  12.90  
##                     Max.   :162.00   Max.   : 60.3000   Max.   : 179.00  
##  total_accel_belt  gyros_belt_x        gyros_belt_y       gyros_belt_z    
##  Min.   : 0.00    Min.   :-1.040000   Min.   :-0.64000   Min.   :-1.4600  
##  1st Qu.: 3.00    1st Qu.:-0.030000   1st Qu.: 0.00000   1st Qu.:-0.2000  
##  Median :17.00    Median : 0.030000   Median : 0.02000   Median :-0.1000  
##  Mean   :11.31    Mean   :-0.005592   Mean   : 0.03959   Mean   :-0.1305  
##  3rd Qu.:18.00    3rd Qu.: 0.110000   3rd Qu.: 0.11000   3rd Qu.:-0.0200  
##  Max.   :29.00    Max.   : 2.220000   Max.   : 0.64000   Max.   : 1.6200  
##   accel_belt_x       accel_belt_y     accel_belt_z     magnet_belt_x  
##  Min.   :-120.000   Min.   :-69.00   Min.   :-275.00   Min.   :-52.0  
##  1st Qu.: -21.000   1st Qu.:  3.00   1st Qu.:-162.00   1st Qu.:  9.0  
##  Median : -15.000   Median : 35.00   Median :-152.00   Median : 35.0  
##  Mean   :  -5.595   Mean   : 30.15   Mean   : -72.59   Mean   : 55.6  
##  3rd Qu.:  -5.000   3rd Qu.: 61.00   3rd Qu.:  27.00   3rd Qu.: 59.0  
##  Max.   :  85.000   Max.   :164.00   Max.   : 105.00   Max.   :485.0  
##  magnet_belt_y   magnet_belt_z       roll_arm         pitch_arm      
##  Min.   :354.0   Min.   :-623.0   Min.   :-180.00   Min.   :-88.800  
##  1st Qu.:581.0   1st Qu.:-375.0   1st Qu.: -31.77   1st Qu.:-25.900  
##  Median :601.0   Median :-320.0   Median :   0.00   Median :  0.000  
##  Mean   :593.7   Mean   :-345.5   Mean   :  17.83   Mean   : -4.612  
##  3rd Qu.:610.0   3rd Qu.:-306.0   3rd Qu.:  77.30   3rd Qu.: 11.200  
##  Max.   :673.0   Max.   : 293.0   Max.   : 180.00   Max.   : 88.500  
##     yaw_arm          total_accel_arm  gyros_arm_x        gyros_arm_y     
##  Min.   :-180.0000   Min.   : 1.00   Min.   :-6.37000   Min.   :-3.4400  
##  1st Qu.: -43.1000   1st Qu.:17.00   1st Qu.:-1.33000   1st Qu.:-0.8000  
##  Median :   0.0000   Median :27.00   Median : 0.08000   Median :-0.2400  
##  Mean   :  -0.6188   Mean   :25.51   Mean   : 0.04277   Mean   :-0.2571  
##  3rd Qu.:  45.8750   3rd Qu.:33.00   3rd Qu.: 1.57000   3rd Qu.: 0.1400  
##  Max.   : 180.0000   Max.   :66.00   Max.   : 4.87000   Max.   : 2.8400  
##   gyros_arm_z       accel_arm_x       accel_arm_y      accel_arm_z     
##  Min.   :-2.3300   Min.   :-404.00   Min.   :-318.0   Min.   :-636.00  
##  1st Qu.:-0.0700   1st Qu.:-242.00   1st Qu.: -54.0   1st Qu.:-143.00  
##  Median : 0.2300   Median : -44.00   Median :  14.0   Median : -47.00  
##  Mean   : 0.2695   Mean   : -60.24   Mean   :  32.6   Mean   : -71.25  
##  3rd Qu.: 0.7200   3rd Qu.:  84.00   3rd Qu.: 139.0   3rd Qu.:  23.00  
##  Max.   : 3.0200   Max.   : 437.00   Max.   : 308.0   Max.   : 292.00  
##   magnet_arm_x     magnet_arm_y     magnet_arm_z    roll_dumbbell    
##  Min.   :-584.0   Min.   :-392.0   Min.   :-597.0   Min.   :-153.71  
##  1st Qu.:-300.0   1st Qu.:  -9.0   1st Qu.: 131.2   1st Qu.: -18.49  
##  Median : 289.0   Median : 202.0   Median : 444.0   Median :  48.17  
##  Mean   : 191.7   Mean   : 156.6   Mean   : 306.5   Mean   :  23.84  
##  3rd Qu.: 637.0   3rd Qu.: 323.0   3rd Qu.: 545.0   3rd Qu.:  67.61  
##  Max.   : 782.0   Max.   : 583.0   Max.   : 694.0   Max.   : 153.55  
##  pitch_dumbbell     yaw_dumbbell      total_accel_dumbbell
##  Min.   :-149.59   Min.   :-150.871   Min.   : 0.00       
##  1st Qu.: -40.89   1st Qu.: -77.644   1st Qu.: 4.00       
##  Median : -20.96   Median :  -3.324   Median :10.00       
##  Mean   : -10.78   Mean   :   1.674   Mean   :13.72       
##  3rd Qu.:  17.50   3rd Qu.:  79.643   3rd Qu.:19.00       
##  Max.   : 149.40   Max.   : 154.952   Max.   :58.00       
##  gyros_dumbbell_x    gyros_dumbbell_y   gyros_dumbbell_z 
##  Min.   :-204.0000   Min.   :-2.10000   Min.   : -2.380  
##  1st Qu.:  -0.0300   1st Qu.:-0.14000   1st Qu.: -0.310  
##  Median :   0.1300   Median : 0.03000   Median : -0.130  
##  Mean   :   0.1611   Mean   : 0.04606   Mean   : -0.129  
##  3rd Qu.:   0.3500   3rd Qu.: 0.21000   3rd Qu.:  0.030  
##  Max.   :   2.2200   Max.   :52.00000   Max.   :317.000  
##  accel_dumbbell_x  accel_dumbbell_y  accel_dumbbell_z  magnet_dumbbell_x
##  Min.   :-419.00   Min.   :-189.00   Min.   :-334.00   Min.   :-643.0   
##  1st Qu.: -50.00   1st Qu.:  -8.00   1st Qu.:-142.00   1st Qu.:-535.0   
##  Median :  -8.00   Median :  41.50   Median :  -1.00   Median :-479.0   
##  Mean   : -28.62   Mean   :  52.63   Mean   : -38.32   Mean   :-328.5   
##  3rd Qu.:  11.00   3rd Qu.: 111.00   3rd Qu.:  38.00   3rd Qu.:-304.0   
##  Max.   : 235.00   Max.   : 315.00   Max.   : 318.00   Max.   : 592.0   
##  magnet_dumbbell_y magnet_dumbbell_z  roll_forearm       pitch_forearm   
##  Min.   :-3600     Min.   :-262.00   Min.   :-180.0000   Min.   :-72.50  
##  1st Qu.:  231     1st Qu.: -45.00   1st Qu.:  -0.7375   1st Qu.:  0.00  
##  Median :  311     Median :  13.00   Median :  21.7000   Median :  9.24  
##  Mean   :  221     Mean   :  46.05   Mean   :  33.8265   Mean   : 10.71  
##  3rd Qu.:  390     3rd Qu.:  95.00   3rd Qu.: 140.0000   3rd Qu.: 28.40  
##  Max.   :  633     Max.   : 452.00   Max.   : 180.0000   Max.   : 89.80  
##   yaw_forearm      total_accel_forearm gyros_forearm_x  
##  Min.   :-180.00   Min.   :  0.00      Min.   :-22.000  
##  1st Qu.: -68.60   1st Qu.: 29.00      1st Qu.: -0.220  
##  Median :   0.00   Median : 36.00      Median :  0.050  
##  Mean   :  19.21   Mean   : 34.72      Mean   :  0.158  
##  3rd Qu.: 110.00   3rd Qu.: 41.00      3rd Qu.:  0.560  
##  Max.   : 180.00   Max.   :108.00      Max.   :  3.970  
##  gyros_forearm_y     gyros_forearm_z    accel_forearm_x   accel_forearm_y 
##  Min.   : -7.02000   Min.   : -8.0900   Min.   :-498.00   Min.   :-632.0  
##  1st Qu.: -1.46000   1st Qu.: -0.1800   1st Qu.:-178.00   1st Qu.:  57.0  
##  Median :  0.03000   Median :  0.0800   Median : -57.00   Median : 201.0  
##  Mean   :  0.07517   Mean   :  0.1512   Mean   : -61.65   Mean   : 163.7  
##  3rd Qu.:  1.62000   3rd Qu.:  0.4900   3rd Qu.:  76.00   3rd Qu.: 312.0  
##  Max.   :311.00000   Max.   :231.0000   Max.   : 477.00   Max.   : 923.0  
##  accel_forearm_z   magnet_forearm_x  magnet_forearm_y magnet_forearm_z
##  Min.   :-446.00   Min.   :-1280.0   Min.   :-896.0   Min.   :-973.0  
##  1st Qu.:-182.00   1st Qu.: -616.0   1st Qu.:   2.0   1st Qu.: 191.0  
##  Median : -39.00   Median : -378.0   Median : 591.0   Median : 511.0  
##  Mean   : -55.29   Mean   : -312.6   Mean   : 380.1   Mean   : 393.6  
##  3rd Qu.:  26.00   3rd Qu.:  -73.0   3rd Qu.: 737.0   3rd Qu.: 653.0  
##  Max.   : 291.00   Max.   :  672.0   Max.   :1480.0   Max.   :1090.0  
##     classe         
##  Length:19622      
##  Class :character  
##  Mode  :character  
##                    
##                    
## 

set.seed(2128506)
modelFit <- train(classe ~., method='rpart', data=training, trControl=trainControl(method='cv', number=10))

## Loading required package: rpart

summary(modelFit)

## Call:
## rpart(formula = .outcome ~ ., data = list(user_namecarlitos = c(1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0), user_namecharles = c(0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0), user_nameeurico = c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), user_namejeremy = c(0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0), user_namepedro = c(0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0), roll_belt = c(1.41, 1.41, 1.42, 1.48, 1.48, 1.45, 1.42, 1.42, 
## 1.43, 1.45, 1.45, 1.43, 1.42, 1.42, 1.45, 1.48, 1.51, 1.55, 1.57, 
## 1.59, 1.6, 1.57, 1.56, 1.51, 1.53, 1.55, 1.54, 1.53, 1.52, 1.52, 
## 1.53, 1.44, 1.43, 1.44, 1.41, 1.42, 1.41, 1.4, 1.4, 1.4, 1.4, 
## 1.39, 1.34, 1.3, 1.3, 1.29, 1.33, 1.33, 1.31, 1.3, 1.29, 1.27, 
## 1.26, 1.25, 1.26, 1.27, 1.25, 1.23, 1.24, 1.25, 1.26, 1.26, 1.27, 
## 1.28, 1.28, 1.23, 1.23, 1.2, 1.17, 1.16, 1.15, 1.16, 1.18, 1.19, 
## 1.18, 1.18, 1.18, 1.16, 1.14, 1.13, 1.1, 1.1, 1.09, 1.08, 1.06, 
## 1.06, 1.04, 1.04, 1.04, 1.04, 1.03, 1.02, 1, 1.02, 1.01, 1.04, 
## 1.02, 1.01, 1.03, 1.06, 1.05, 1.04, 1.03, 1.03, 1.03, 1.05, 1.08, 
## 1.07, 1.07, 1.06, 1.04, 1.05, 1.07, 1.12, 1.15, 1.22, 1.23, 1.27, 
## 1.32, 1.29, 1.24, 1.12, 1.05, 1.09, 1.11, 1.13, 1.15, 1.16, 1.16, 
## 1.29, 1.38, 1.4, 1.4, 1.41, 1.44, 1.44, 1.48, 1.49, 1.44, 1.42, 
## 1.4, 1.3, 1.29, 1.29, 1.22, 1.23, 1.21, 1.1, 1.06, 1.03, 0.97, 
## 0.93, 0.92, 0.91, 0.9, 0.88, 0.9, 0.85, 0.84, 0.88, 0.91, 0.98, 
## 0.99, 1, 1.01, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 128, 128, 128, 128, 128, 128, 128, 128, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 128, 128, 
## 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 128, 
## 128, 128, 128, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 127, 127, 127, 127, 127, 127, 127, 
## 126, 126, 126, 126, 126, 125, 125, 125, 124, 124, 124, 124, 124, 
## 124, 124, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 124, 
## 124, 124, 124, 124, 123, 123, 123, 123, 124, 124, 124, 124, 124, 
## 124, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 123, 123, 123, 123, 122, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 123, 123, 123, 123, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 122, 122, 122, 122, 122, 122, 123, 123, 123, 123, 
## 123, 123, 123, 123, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 124, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 122, 122, 122, 122, 122, 122, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 122, 122, 
## 122, 122, 122, 122, 122, 122, 123, 123, 123, 123, 123, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 
## 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 126, 127, 127, 
## 127, 127, 128, 128, 128, 128, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 130, 130, 130, 130, 130, 130, 
## 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 
## 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 
## 130, 130, 130, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 130, 130, 130, 
## 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 
## 130, 130, 130, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 119, 119, 
## 119, 119, 119, 119, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 129, 129, 129, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 128, 128, 127, 126, 126, 126, 125, 125, 125, 126, 126, 126, 126, 
## 127, 127, 127, 127, 127, 127, 126, 126, 126, 126, 126, 126, 126, 
## 126, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 127, 127, 
## 127, 127, 127, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 
## 128, 128, 128, 128, 128, 127, 127, 127, 127, 126, 126, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 127, 127, 127, 127, 127, 127, 128, 128, 128, 
## 128, 129, 129, 129, 130, 130, 130, 130, 130, 131, 131, 131, 131, 
## 131, 131, 131, 131, 131, 131, 131, 131, 131, 131, 130, 129, 129, 
## 129, 128, 128, 127, 127, 126, 126, 126, 126, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 122, 122, 122, 122, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 120, 120, 120, 
## 120, 120, 120, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 1.66, 1.67, 1.65, 1.56, 1.18, 1.12, 0.99, 0.92, 0.92, 
## 0.99, 1.08, 1.14, 1.19, 1.25, 1.3, 1.32, 1.33, 1.37, 1.41, 1.44, 
## 1.47, 1.5, 1.57, 1.61, 1.63, 1.7, 1.7, 1.73, 1.75, 1.8, 1.8, 
## 1.8, 1.77, 1.78, 1.78, 1.7, 1.64, 1.61, 1.5, 1.36, 1.23, 1.24, 
## 1.26, 1.26, 1.26, 1.25, 1.26, 1.24, 1.14, 1.15, 1.16, 1.16, 1.21, 
## 1.27, 1.28, 1.27, 1.29, 1.36, 1.46, 1.63, 1.43, 1.45, 1.48, 1.5, 
## 1.51, 1.57, 1.61, 1.65, 1.69, 1.66, 1.64, 1.61, 1.61, 1.58, 1.52, 
## 1.45, 1.35, 1.28, 1.25, 1.25, 1.24, 1.25, 1.28, 1.35, 1.38, 1.36, 
## 1.33, 1.34, 1.35, 1.32, 1.33, 1.3, 1.3, 1.35, 1.38, 1.4, 1.47, 
## 1.51, 1.53, 1.66, 1.73, 1.78, 1.79, 1.82, 1.85, 1.9, 1.89, 1.89, 
## 1.89, 1.8, 1.68, 1.49, 1.15, 1.06, 0.71, 0.7, 0.71, 0.72, 0.74, 
## 0.94, 1.03, 1.39, 1.46, 1.52, 1.64, 1.7, 1.75, 1.85, 1.91, 1.97, 
## 2.01, 2.05, 2.08, 2.07, 2.04, 1.98, 1.93, 1.93, 1.88, 1.82, 1.8, 
## 1.77, 1.55, 1.51, 1.42, 1.35, 1.19, 1.15, 1.1, 1.09, 1, 0.99, 
## 0.98, 0.97, 0.99, 1, 1.04, 1.07, 1.12, 1.13, 1.15, 1.24, 1.32, 
## 1.43, 1.49, 1.59, 1.62, 1.72, 1.77, 1.81, 1.83, 1.85, 1.9, 1.92, 
## 1.96, 1.94, 1.93, 1.7, 1.58, 1.4, 1.08, 1.02, 0.93, 0.91, 0.9, 
## 0.89, 0.89, 0.87, 0.87, 0.88, 0.87, 0.91, 0.95, 1.02, 1.06, 1.12, 
## 1.17, 1.22, 1.27, 1.36, 1.43, 1.48, 1.5, 1.46, 1.27, 1.22, 1.39, 
## 1.39, 1.41, 1.42, 1.41, 1.36, 1.37, 1.37, 1.37, 1.36, 1.26, 1.19, 
## 1.13, 1.07, 0.93, 0.87, 0.8, 0.66, 0.62, 0.61, 0.62, 0.7, 0.77, 
## 0.83, 0.91, 1.06, 1.12, 1.12, 1.2, 1.29, 1.39, 1.44, 1.56, 1.72, 
## 1.77, 2.04, 2.05, 2.05, 2.04, 2.01, 1.86, 1.82, 1.55, 1.49, 1.36, 
## 1.31, 1.17, 1.15, 1.14, 1.13, 1.12, 1.1, 1.07, 1.03, 1, 1, 1.6, 
## 1.61, 1.64, 1.64, 1.61, 1.57, 1.58, 1.51, 1.43, 1.39, 1.32, 1.18, 
## 1, 0.95, 0.77, 0.75, 0.82, 0.93, 1.07, 1.13, 1.3, 1.47, 1.56, 
## 1.66, 1.71, 1.72, 1.81, 1.89, 1.94, 1.93, 2.01, 2.02, 1.88, 1.66, 
## 1.59, 1.21, 1.15, 1.09, 1.04, 1, 0.93, 0.93, 0.93, 0.94, 0.88, 
## 0.88, 0.87, 1.27, 1.23, 1.18, 1.18, 1.15, 1.08, 1.09, 1.09, 1.1, 
## 1.11, 1.12, 1.13, 1.17, 1.18, 1.2, 1.22, 1.28, 1.35, 1.42, 1.49, 
## 1.53, 1.82, 1.85, 1.86, 1.89, 1.92, 1.94, 1.91, 1.88, 1.85, 1.71, 
## 1.67, 1.45, 1.39, 1.18, 1.11, 0.99, 0.87, 0.82, 0.76, 0.72, 0.74, 
## 0.82, 0.9, 1.05, 1.21, 1.32, 1.37, 1.4, 1.45, 1.47, 1.5, 1.53, 
## 1.56, 1.6, 1.63, 1.67, 1.69, 1.7, 1.73, 1.77, 1.81, 1.75, 1.53, 
## 1.19, 1.06, 0.95, 0.88, 0.8, 0.76, 0.74, 0.74, 0.76, 0.77, 0.71, 
## 0.71, 0.71, 0.73, 0.77, 0.79, 1.01, 1.05, 1.09, 1.17, 1.37, 1.56, 
## 1.57, 1.58, 1.53, 1.54, 1.54, 1.49, 1.45, 1.39, 1.3, 1.21, 1.17, 
## 1.1, 1.06, 0.93, 0.85, 0.73, 0.6, 0.58, 0.59, 0.6, 0.75, 0.96, 
## 1.01, 1.05, 1.1, 1.19, 1.47, 1.69, 1.81, 1.84, 2.01, 2.09, 2.05, 
## 2.03, 2, 1.97, 1.9, 1.78, 1.57, 1.5, 1.42, 1.33, 1.16, 1.08, 
## 1.01, 0.99, 0.95, 0.92, 0.9, 1.03, 1.03, 0.98, 0.96, 0.97, 0.96, 
## 0.97, 1.02, 1.05, 1.04, 1.06, 1.08, 1.09, 1.12, 1.16, 1.17, 1.18, 
## 1.22, 1.23, 1.25, 1.27, 1.28, 1.31, 1.31, 1.33, 1.36, 1.38, 1.36, 
## 1.34, 1.33, 1.36, 1.36, 1.36, 1.37, 1.38, 1.37, 1.38, 1.4, 1.41, 
## 1.39, 1.39, 1.39, 1.4, 1.41, 1.42, 1.42, 1.44, 1.42, 1.4, 1.4, 
## 1.41, 1.41, 1.4, 1.39, 1.38, 1.32, 1.33, 1.35, 1.35, 1.36, 1.37, 
## 1.41, 1.41, 1.41, 1.41, 1.44, 1.45, 1.47, 1.48, 1.54, 1.58, 1.6, 
## 1.7, 1.77, 1.78, 1.83, 1.87, 1.89, 1.92, 1.95, 1.93, 1.95, 1.94, 
## 1.9, 1.88, 1.83, 1.7, 1.5, 1.42, 1.31, 1.35, 1.46, 1.55, 1.57, 
## 1.56, 1.55, 1.58, 1.55, 1.57, 1.61, 1.76, 1.96, 1.98, 1.97, 1.97, 
## 1.93, 1.91, 1.92, 1.92, 1.88, 1.77, 1.64, 1.56, 1.44, 1.36, 1.06, 
## 1.01, 0.84, 0.82, 0.55, 0.5, 0.38, 0.39, 0.42, 0.7, 1.61, 1.71, 
## 1.85, 1.9, 1.97, 2.04, 2.06, 2.04, 2, 2, 1.81, 1.77, 1.65, 1.5, 
## 1.42, 1.37, 1.34, 1.33, 1.28, 1.21, 1.05, 0.97, 0.93, 0.84, 0.84, 
## 0.93, 1.02, 1.09, 1.14, 1.1, 1.04, 0.54, 0.54, 0.53, 0.53, 0.52, 
## 0.54, 0.53, 0.54, 0.51, 0.53, 0.53, 0.55, 0.59, 0.61, 0.62, 0.62, 
## 0.63, 0.63, 0.64, 0.69, 0.7, 0.7, 0.7, 0.71, 0.71, 0.73, 0.74, 
## 0.77, 0.77, 0.77, 0.75, 0.73, 0.73, 0.73, 0.74, 0.74, 0.72, 0.64, 
## 0.62, 0.64, 0.69, 0.72, 0.77, 0.79, 0.76, 0.77, 0.77, 0.75, 0.77, 
## 0.78, 0.77, 0.77, 0.78, 0.79, 0.76, 0.77, 0.75, 0.72, 0.69, 0.7, 
## 0.69, 0.71, 0.71, 0.71, 0.7, 0.68, 0.7, 0.69, 0.69, 0.69, 0.77, 
## 0.77, 0.78, 0.77, 0.79, 0.79, 0.81, 0.83, 0.83, 0.83, 0.83, 0.83, 
## 0.84, 0.9, 0.92, 0.94, 0.96, 0.98, 0.98, 1, 1, 0.99, 0.99, 0.98, 
## 0.97, 0.98, 1.01, 1.02, 1.05, 1.06, 1.06, 1.06, 1.06, 1.07, 1.06, 
## 1.03, 1.02, 1.01, 0.99, 0.98, 1, 0.97, 0.95, 0.93, 0.92, 0.9, 
## 0.9, 0.91, 0.92, 0.92, 0.91, 0.85, 0.85, 0.82, 0.8, 0.77, 0.7, 
## 0.69, 0.66, 0.62, 0.58, 0.47, 0.4, 0.28, 0.25, 0.3, 0.34, 0.36, 
## 0.4, 0.39, 0.38, 0.37, 0.34, 0.31, 0.29, 0.29, 0.26, 0.21, 0.19, 
## 0.19, 0.19, 0.2, 0.22, 0.21, 0.2, 0.18, 0.17, 0.14, 0.15, 0.15, 
## 0.16, 0.15, 0.15, 0.17, 0.16, 0.19, 0.21, 0.21, 0.23, 0.24, 0.25, 
## 0.29, 0.3, 0.36, 0.36, 0.36, 0.3, 0.32, 0.4, 0.5, 0.52, 0.45, 
## 0.41, 0.44, 0.49, 0.5, 0.56, 0.57, 0.55, 0.53, 0.69, 0.71, 0.71, 
## 0.51, 0.5, 0.47, 0.46, 0.44, 0.42, 0.37, 0.37, 0.38, 0.4, 0.39, 
## 0.43, 0.45, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5, 0.51, 0.53, 0.53, 
## 0.52, 0.51, 0.49, 0.45, 0.44, 0.48, 0.54, 0.59, 0.63, 0.63, 0.64, 
## 0.66, 0.68, 0.71, 0.79, 0.81, 0.83, 0.85, 0.87, 0.88, 0.88, 0.87, 
## 0.84, 0.83, 0.84, 0.82, 0.76, 0.76, 0.76, 0.74, 0.71, 0.66, 0.64, 
## 0.61, 0.57, 0.56, 0.56, 0.54, 0.53, 0.52, 0.46, 0.48, 0.48, 0.52, 
## 0.56, 0.58, 0.44, 0.48, 0.53, 0.57, 0.45, 0.47, 0.56, 0.59, 0.62, 
## 0.6, 0.57, 0.47, 0.47, 0.49, 0.52, 0.57, 0.58, 0.58, 0.53, 0.46, 
## 0.54, 0.58, 0.61, 0.43, 0.38, 0.42, 0.48, 0.56, 0.72, 0.65, 0.64, 
## 0.66, 0.68, 0.69, 0.67, 0.55, 0.72, 0.76, 0.75, 0.69, 0.68, 0.69, 
## 0.73, 0.73, 0.75, 0.7, 0.7, 0.73, 0.76, 0.78, 0.78, 0.76, 0.77, 
## 0.76, 0.76, 0.76, 0.78, 0.78, 0.78, 0.78, 0.78, 0.79, 0.79, 0.8, 
## 0.76, 0.75, 0.76, 0.75, 0.77, 0.76, 0.73, 0.66, 0.65, 0.64, 0.61, 
## 0.6, 0.58, 0.56, 0.53, 0.53, 0.53, 0.5, 0.53, 0.56, 0.57, 0.6, 
## 0.63, 0.64, 0.67, 0.68, 0.68, 0.68, 0.65, 1.01, 1.02, 1.03, 1.03, 
## 1.04, 1.04, 1.08, 1.29, 1.42, 1.47, 1.52, 1.54, 1.59, 1.62, 1.6, 
## 1.66, 1.69, 1.67, 1.64, 1.7, 1.71, 1.73, 1.63, 1.57, 1.53, 1.36, 
## 1.24, 1.24, 1.25, 1.17, 1.17, 1.08, 1.02, 0.99, 1.01, 1.05, 1.07, 
## 1.07, 1.05, 1.02, 1, 0.95, 0.94, 0.95, 0.94, 0.95, 0.95, 0.96, 
## 0.98, 1.01, 1.02, 1.04, 1.04, 1.06, 1.08, 1.16, 1.17, 1.2, 1.29, 
## 1.3, 1.26, 1.28, 1.34, 1.4, 1.39, 1.35, 1.29, 1.28, 1.41, 1.42, 
## 1.41, 1.43, 1.44, 1.42, 1.46, 1.51, 1.62, 1.64, 1.69, 1.73, 1.7, 
## 1.68, 1.68, 1.61, 1.65, 1.7, 1.72, 1.73, 1.83, 1.85, 1.85, 1.86, 
## 1.87, 1.91, 1.91, 1.92, 1.91, 1.88, 1.88, 1.88, 1.83, 1.79, 1.73, 
## 1.65, 1.63, 1.63, 1.56, 1.49, 1.48, 1.49, 1.51, 1.51, 1.51, 1.4, 
## 1.44, 1.46, 1.4, 1.38, 1.39, 1.38, 1.39, 1.39, 1.35, 1.36, 1.34, 
## 1.27, 1.19, 1.18, 1.16, 1.15, 1.37, 1.46, 1.54, 1.52, 1.46, 1.39, 
## 1.34, 1.29, 1.25, 1.23, 1.21, 1.19, 1.17, 1.27, 1.33, 1.45, 1.48, 
## 1.41, 1.4, 1.36, 1.37, 1.35, 1.4, 1.43, 1.45, 1.47, 1.49, 1.52, 
## 1.52, 1.47, 1.44, 1.44, 1.42, 1.42, 1.41, 1.37, 1.24, 1.2, 1.15, 
## 1.16, 1.21, 1.21, 1.21, 1.21, 1.2, 1.21, 1.21, 1.23, 1.36, 1.46, 
## 1.52, 1.52, 1.51, 1.54, 1.53, 1.49, 1.49, 1.49, 1.48, 1.42, 1.32, 
## 1.32, 1.32, 1.37, 1.43, 1.43, 1.45, 1.44, 1.41, 1.29, 1.25, 1.11, 
## 1.07, 1.08, 1.1, 1.18, 1.25, 1.35, 1.37, 1.31, 1.26, 1.19, 1.11, 
## 1.1, 1.23, 1.26, 1.3, 1.33, 1.37, 1.39, 1.37, 1.39, 1.34, 1.34, 
## 1.32, 1.29, 1.26, 1.27, 1.24, 1.18, 1.1, 0.9, 0.86, 0.82, 0.79, 
## 0.81, 0.82, 0.84, 0.8, 0.72, 0.69, 0.68, 0.7, 0.83, 0.87, 0.95, 
## 0.98, 1.08, 1.12, 1.15, 1.15, 1.16, 1.17, 1.15, 1.16, 1.2, 1.26, 
## 1.31, 1.39, 1.41, 1.43, 1.54, 1.64, 1.68, 1.71, 1.68, 1.6, 1.6, 
## 1.63, 1.75, 1.81, 1.83, 1.87, 1.86, 1.79, 1.7, 1.67, 1.57, 1.58, 
## 1.56, 1.48, 1.46, 1.42, 1.37, 1.25, 1.23, 1.15, 1.19, 1.22, 1.12, 
## 0.99, 0.95, 0.91, 0.9, 0.89, 0.87, 0.85, 0.8, 0.83, 0.84, 0.81, 
## 0.8, 0.79, 0.78, 0.78, 0.85, 0.86, 0.91, 0.99, 1.05, 1.17, 1.26, 
## 1.39, 1.4, 1.44, 1.42, 1.44, 1.44, 1.48, 1.6, 1.65, 1.67, 1.7, 
## 1.79, 1.72, 1.58, 1.66, 1.7, 1.72, 1.76, 1.7, 1.62, 1.62, 1.61, 
## 1.66, 1.57, 1.49, 1.43, 1.36, 1.32, 1.33, 1.29, 1.24, 1.24, 1.23, 
## 1.19, 1.15, 1.17, 1.15, 1.08, 1.08, 1.12, 1.1, 1.06, 1.07, 1.13, 
## 1.1, 1.11, 1.12, 1.14, 1.2, 1.16, 1.15, 1.12, 1.13, 1.17, 1.17, 
## 1.17, 1.16, 1.27, 1.28, 1.35, 1.4, 1.42, 1.43, 1.56, 1.54, 1.51, 
## 1.3, 1.25, 1.24, 1.29, 1.33, 1.43, 1.46, 1.43, 1.36, 1.36, 1.33, 
## 1.3, 1.32, 1.34, 1.32, 1.37, 1.35, 1.43, 1.44, 1.43, 1.42, 1.35, 
## 1.27, 1.25, 1.21, 1.18, 1.1, 1.09, 1.08, 1.01, 1.03, 0.99, 0.94, 
## 0.96, 0.89, 0.87, 0.78, 0.78, 0.8, 0.86, 0.91, 1.02, 1.09, 1.13, 
## 1.16, 1.27, 1.28, 1.37, 1.47, 1.46, 1.41, 1.38, 1.34, 1.34, 1.36, 
## 1.38, 1.5, 1.69, 1.71, 1.73, 1.77, 1.74, 1.68, 1.65, 1.64, 1.74, 
## 1.68, 1.58, 1.59, 1.61, 1.62, 1.29, 1.32, 1.33, 1.36, 1.47, 1.48, 
## 1.48, 1.51, 1.58, 1.62, 1.66, 1.78, 1.78, 1.84, 1.79, 1.72, 1.75, 
## 1.81, 2, 2.09, 2.11, 2.01, 1.83, 1.78, 1.73, 1.7, 1.69, 1.66, 
## 1.67, 1.67, 1.53, 1.47, 1.4, 1.37, 1.36, 1.27, 1.26, 1.25, 1.19, 
## 1.09, 1.09, 1.04, 1, 0.98, 0.97, 0.95, 0.91, 0.88, 0.87, 0.87, 
## 0.72, 0.71, 0.74, 0.75, 0.82, 0.85, 0.86, 0.9, 0.96, 1.01, 1.16, 
## 1.29, 1.37, 1.45, 1.43, 1.42, 1.42, 1.48, 1.52, 1.54, 1.58, 1.72, 
## 1.76, 1.77, 1.79, 1.77, 1.74, 1.7, 1.67, 1.66, 1.66, 1.74, 1.77, 
## 1.79, 1.71, 1.71, 1.74, 1.75, 1.73, 1.71, 1.68, 1.64, 1.59, 1.56, 
## 1.52, 1.53, 1.55, 1.56, 1.56, 1.54, 1.55, 1.51, 1.48, 1.42, 1.45, 
## 1.34, 1.45, 1.27, 1.22, 1.22, 1.19, 1.14, 1.07, 1.03, 0.91, 0.83, 
## 0.78, 0.7, 0.64, 0.55, 0.58, 0.61, 0.72, 0.74, 0.8, 0.85, 0.87, 
## 0.9, 0.93, 1, 1.07, 1.11, 1.2, 1.21, 1.22, 1.22, 1.2, 1.18, 1.16, 
## 1.16, 1.17, 1.18, 1.19, 1.17, 1.18, 1.17, 1.13, 1.12, 1.13, 1.14, 
## 1.12, 1.13, 1.12, 1.12, 1.1, 1.1, 1.04, 1.04, 1.05, 1.07, 1.06, 
## 1.09, 1.09, 1.11, 1.09, 1.1, 1.11, 1.14, 1.14, 1.18, 1.2, 1.21, 
## 1.22, 1.23, 1.23, 1.23, 1.24, 1.29, 1.3, 1.33, 1.39, 1.41, 1.4, 
## 1.38, 1.36, 1.34, 1.32, 1.33, 1.33, 0.68, 0.56, 0.57, 0.58, 0.6, 
## 0.6, 0.48, 0.47, 0.52, 0.56, 0.53, 0.6, 0.61, 0.6, 0.6, 0.58, 
## 0.57, 0.58, 0.56, 0.54, 0.52, 0.51, 0.49, 0.49, 0.45, 0.44, 0.43, 
## 0.4, 0.36, 0.37, 0.37, 0.38, 0.39, 0.37, 0.35, 0.36, 0.37, 0.37, 
## 0.34, 0.34, 0.34, 0.35, 0.35, 0.34, 0.35, 0.33, 0.32, 0.32, 0.31, 
## 0.31, 0.32, 0.33, 0.32, 0.35, 0.4, 0.42, 0.44, 0.44, 0.46, 0.48, 
## 0.44, 0.44, 0.45, 0.5, 0.5, 0.5, 0.46, 0.42, 0.4, 0.38, 0.37, 
## 0.42, 0.44, 0.46, 0.46, 0.45, 0.46, 0.51, 0.57, 0.57, 0.56, 0.55, 
## 0.57, 0.51, 0.49, 0.47, 0.38, 0.38, 0.39, 0.38, 0.39, 0.38, 0.38, 
## 0.39, 0.39, 0.44, 0.47, 0.45, 0.43, 0.38, 0.34, 0.35, 0.41, 0.38, 
## 0.4, 0.42, 0.38, 0.38, 0.39, 0.4, 0.4, 0.43, 0.44, 0.44, 0.44, 
## 0.45, 0.45, 0.47, 0.48, 0.48, 0.52, 0.52, 0.52, 0.56, 0.61, 0.62, 
## 0.6, 0.64, 0.68, 0.76, 0.9, 0.84, 0.83, 0.77, 0.67, 0.54, 0.44, 
## 0.15, 0.11, 0.16, 0.21, 0.23, 0.24, 0.26, 0.25, 0.25, 0.25, 0.23, 
## 0.25, 0.27, 0.27, 0.31, 0.33, 0.36, 0.37, 0.41, 0.47, 0.47, 0.46, 
## 0.52, 0.58, 0.62, 0.83, 0.95, 1.04, 1.14, 1.22, 1.27, 1.28, 1.25, 
## 1.23, 1.21, 1.2, 1.18, 1.16, 1.15, 1.14, 1.06, 1.06, 1.04, 1.01, 
## 0.98, 0.95, 0.92, 0.92, 0.94, 0.94, 0.95, 0.95, 0.95, 0.94, 0.94, 
## 0.95, 0.95, 0.95, 0.94, 0.94, 0.88, 0.86, 0.86, 0.84, 0.87, 0.86, 
## 0.87, 0.91, 0.93, 0.95, 0.97, 0.98, 1.02, 1.03, 1.06, 1.11, 1.22, 
## 1.23, 1.26, 1.27, 1.25, 1.25, 0.83, 0.87, 0.88, 0.96, 1.02, 1.1, 
## 1.13, 1.14, 1.28, 1.29, 1.29, 1.28, 1.23, 1.21, 1.23, 1.33, 1.35, 
## 1.36, 1.34, 1.33, 1.32, 1.35, 1.42, 1.4, 1.38, 1.36, 1.34, 1.33, 
## 1.36, 1.4, 1.47, 1.47, 1.48, 1.49, 1.5, 1.48, 1.46, 1.48, 1.48, 
## 1.46, 1.45, 1.43, 1.31, 1.29, 1.26, 1.17, 1.14, 1.1, 1.06, 1, 
## 0.96, 0.93, 0.89, 0.79, 0.73, 0.68, 0.67, 0.64, 0.57, 0.39, 0.33, 
## 0.22, 0.24, 0.28, 0.34, 0.39, 0.42, 0.61, 0.62, 0.66, 0.71, 0.74, 
## 0.79, 0.85, 0.86, 0.85, 0.87, 0.91, 0.89, 0.86, 0.86, 0.83, 0.84, 
## 0.85, 0.86, 0.85, 0.89, 0.91, 0.93, 0.95, 1, 1, 0.99, 0.99, 1, 
## 0.99, 1.04, 1.05, 0.99, 0.95, 0.94, 0.91, 0.87, 0.84, 0.7, 0.59, 
## 0.53, 0.58, 0.57, 0.47, 0.48, 0.46, 0.44, 0.45, 0.49, 0.53, 0.58, 
## 0.62, 0.71, 0.74, 0.78, 1, 1.06, 1.14, 1.16, 1.17, 1.18, 1.16, 
## 1.17, 1.17, 1.13, 1.12, 1.1, 1.08, 1.07, 1.09, 1.09, 1.06, 1.06, 
## 1.12, 1.11, 1.11, 1.12, 1.1, 1.08, 1.07, 1.08, 1.1, 1.09, 1.1, 
## 1.1, 1.04, 0.97, 0.58, 0.49, 0.4, 0.23, 0.19, 0.18, 0.16, 0.14, 
## 0.2, 0.34, 0.35, 0.38, 0.42, 0.48, 0.63, 0.72, 0.83, 0.85, 0.87, 
## 0.93, 1, 1.04, 1.07, 1.07, 1.06, 1.07, 1.1, 1.16, 1.21, 1.56, 
## 1.57, 1.57, 1.55, 1.53, 1.54, 1.54, 1.42, 1.38, 1.35, 1.29, 1.21, 
## 0.88, 0.82, 0.7, 0.55, 0.52, 0.58, 0.57, 0.51, 0.35, 0.31, 0.28, 
## 0.3, 0.33, 0.36, 0.4, 0.42, 0.43, 0.52, 0.59, 0.73, 0.81, 0.88, 
## 0.86, 0.91, 0.91, 0.93, 0.89, 0.87, 0.85, 0.8, 0.72, 0.87, 0.9, 
## 1.06, 1.07, 1.06, 1.12, 1.11, 1.12, 1.16, 1.04, 1.05, 1.05, 1.04, 
## 0.99, 0.95, 0.87, 0.83, 0.78, 0.72, 0.71, 0.64, 0.56, 0.54, 0.43, 
## 0.42, 0.4, 0.45, 0.51, 0.61, 0.68, 0.78, 0.83, 0.86, 0.87, 0.9, 
## 1.01, 1.05, 1.01, 1.01, 0.98, 0.87, 0.77, 0.73, 0.72, 0.71, 0.73, 
## 0.75, 0.76, 0.77, 0.79, 0.81, 0.85, 0.86, 0.86, 0.85, 0.88, 0.87, 
## 0.87, 0.82, 0.82, 0.75, 0.67, 0.51, 0.45, 0.43, 0.39, 0.23, 0.09, 
## 0, -0.19, -0.22, -0.53, -0.54, -0.52, -0.53, -0.48, -0.32, -0.27, 
## -0.23, -0.18, 0.01, 0.25, 0.36, 0.48, 0.51, 0.54, 0.58, 0.54, 
## 0.4, 0.36, 0.34, 0.33, 0.33, 0.38, 0.43, 0.44, 0.47, 0.51, 0.53, 
## 0.54, 0.58, 0.6, 0.57, 0.56, 0.54, 0.5, 0.44, 0.31, 0.14, 0.09, 
## -0.47, -0.56, -0.65, -0.74, -0.8, -0.88, -0.94, -1.06, -1.11, 
## -1.21, -1.23, -1.24, -1.24, -1.19, -1.16, -1.05, -0.99, -0.88, 
## -0.8, -0.66, -0.6, -0.27, -0.2, -0.06, 0.03, 0.13, 0.24, 0.33, 
## 0.35, 0.38, 0.41, 0.43, 0.42, 0.44, 0.44, 0.42, 0.38, 0.37, 0.32, 
## 0.32, 0.35, 0.36, 0.38, 0.41, 0.59, 0.68, 0.78, 0.85, 0.89, 0.93, 
## 1.02, 1.07, 1.1, 1.09, 1.09, 1.1, 1.11, 1, 0.87, 0.83, 0.76, 
## 0.73, 0.69, 0.66, 0.63, 0.62, 0.61, 0.61, 0.59, 0.57, 0.53, 0.48, 
## 0.45, 0.38, 0.41, 0.44, 0.49, 0.54, 0.58, 1.02, 1.06, 1.16, 1.19, 
## 1.25, 1.25, 1.34, 1.37, 1.5, 1.49, 1.49, 1.55, 1.6, 1.58, 1.43, 
## 1.42, 1.39, 1.39, 1.36, 1.36, 1.33, 1.18, 1.13, 1.08, 0.84, 0.75, 
## 0.72, 0.68, 0.6, 0.57, 0.21, 0.08, -0.02, -0.17, -0.21, -0.21, 
## -0.22, -0.22, -0.2, -0.01, 0.2, 0.31, 0.76, 1.01, 1.1, 1.17, 
## 1.22, 1.42, 1.5, 1.52, 1.51, 1.48, 1.39, 1.35, 1.22, 1.17, 1.1, 
## 1.09, 1.11, 1.1, 1.08, 1.06, 1.04, 1.03, 1.04, 1.04, 1.03, 1.02, 
## 1.03, 1.03, 1.05, 1.04, 1.1, 1.1, 1.1, 1.17, 1.16, 1.15, 1.15, 
## 1.13, 1.13, 1.13, 0.98, 0.94, 0.9, 0.87, 0.69, 0.69, 0.77, 0.74, 
## 0.74, 0.77, 0.8, 0.87, 0.91, 0.92, 0.95, 0.97, 0.96, 0.99, 1.02, 
## 1.05, 1.07, 1.1, 1.06, 1.04, 1.04, 0.99, 0.95, 0.91, 0.9, 0.88, 
## 0.85, 0.82, 0.76, 0.66, 0.6, 0.55, 0.54, 0.5, 0.49, 0.48, 0.49, 
## 0.51, 0.48, 0.5, 0.51, 0.55, 0.51, 0.5, 0.55, 0.55, 0.58, 0.56, 
## 0.54, 0.52, 0.54, 0.56, 1.31, 1.29, 1.25, 1.45, 1.58, 1.7, 1.76, 
## 1.79, 1.82, 1.91, 1.91, 1.94, 1.95, 1.95, 1.96, 1.98, 1.96, 1.91, 
## 1.91, 1.93, 1.92, 1.91, 1.84, 1.75, 1.73, 1.69, 1.59, 1.55, 1.47, 
## 1.44, 1.44, 1.44, 1.42, 1.34, 1.21, 1.12, 1.11, 1.03, 1.03, 1.02, 
## 1, 1.08, 1.22, 1.29, 1.37, 1.38, 1.39, 1.4, 1.4, 1.44, 1.46, 
## 1.51, 1.55, 1.63, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 122, 122, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 
## 124, 124, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 123, 123, 123, 123, 123, 
## 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 121, 121, 120, 
## 120, 120, 120, 120, 120, 120, 121, 121, 121, 121, 108, 108, 108, 
## 108, 109, 110, 112, 112, 113, 113, 115, 115, 115, 115, 115, 114, 
## 114, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 
## 112, 112, 113, 113, 113, 113, 113, 113, 113, 113, 113, 113, 113, 
## 113, 113, 113, 113, 113, 112, 112, 112, 112, 112, 112, 113, 113, 
## 114, 117, 118, 119, 120, 120, 117, 116, 115, 115, 114, 114, 113, 
## 113, 112, 112, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 
## 111, 111, 112, 112, 112, 111, 111, 111, 112, 112, 112, 112, 112, 
## 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 
## 111, 111, 110, 110, 109, 109, 109, 109, 108, 108, 108, 108, 108, 
## 108, 108, 108, 108, 109, 109, 109, 109, 109, 109, 109, 109, 109, 
## 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 111, 111, 
## 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 
## 111, 112, 112, 112, 112, 112, 112, 113, 113, 113, 113, 113, 113, 
## 113, 113, 113, 113, 113, 113, 113, 113, 112, 112, 112, 112, 112, 
## 112, 112, 111, 111, 111, 112, 112, 112, 112, 113, 113, 113, 114, 
## 114, 114, 114, 114, 114, 113, 113, 113, 113, 113, 113, 113, 113, 
## 113, 113, 113, 113, 113, 113, 113, 113, 114, 114, 114, 114, 114, 
## 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 
## 114, 115, 115, 115, 115, 115, 114, 114, 114, 114, 114, 114, 114, 
## 114, 114, 113, 113, 113, 114, 114, 114, 114, 114, 114, 115, 114, 
## 114, 114, 114, 114, 114, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 116, 116, 116, 116, 116, 116, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 116, 116, 116, 116, 116, 116, 116, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 117, 117, 117, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 118, 118, 118, 118, 
## 118, 118, 117, 117, 117, 118, 118, 118, 118, 118, 118, 118, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 119, 119, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 119, 119, 
## 120, 120, 120, 120, 120, 120, 120, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 
## 118, 118, 118, 119, 119, 119, 119, 119, 119, 120, 120, 120, 120, 
## 120, 119, 119, 119, 119, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 116, 116, 116, 117, 117, 117, 117, 117, 117, 117, 118, 117, 
## 117, 117, 117, 117, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 119, 119, 118, 118, 118, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 118, 119, 119, 118, 118, 118, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 120, 120, 120, 120, 
## 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 119, 120, 120, 
## 120, 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 117, 117, 117, 117, 117, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 120, 
## 120, 120, 120, 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 118, 118, 118, 119, 119, 119, 118, 118, 118, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 
## 113, 113, 113, 113, 113, 114, 114, 113, 113, 113, 113, 113, 113, 
## 113, 113, 113, 113, 113, 113, 114, 115, 115, 115, 115, 115, 115, 
## 115, 109, 109, 109, 109, 109, 109, 109, 109, 109, 110, 110, 110, 
## 110, 110, 110, 110, 110, 121, 121, 121, 121, 120, 119, 117, 117, 
## 117, 116, 115, 112, 110, 110, 109, 108, 108, 108, 1.15, 1.15, 
## 1.15, 1.14, 1.14, 1.12, 1.06, 1, 0.97, 0.94, 0.93, 0.87, 0.83, 
## 0.8, 0.78, 0.77, 0.78, 0.77, 0.78, 0.79, 0.8, 0.84, 0.84, 0.83, 
## 0.47, 0.48, 0.45, 0.45, 0.45, 0.45, 0.43, 0.42, 0.41, 0.39, 0.37, 
## 0.37, 0.42, 0.48, 0.47, 0.46, 0.46, 0.46, 0.47, 0.49, 0.56, 0.57, 
## 0.57, 0.54, 0.52, 0.5, 0.47, 0.49, 0.88, 0.85, 0.84, 0.82, 0.76, 
## 0.74, 0.76, 0.79, 0.8, 0.86, 0.89, 1.02, 1.07, 1.08, 0.74, 0.82, 
## 0.88, 0.94, 1.01, 1.2, 1.34, 1.53, 1.59, 1.67, 1.75, 1.78, 1.8, 
## 1.83, 1.85, 1.84, 1.81, 1.78, 1.73, 1.7, 1.58, 1.51, 1.43, 1.34, 
## 1.3, 0.93, 0.93, 1.02, 1.04, 1.1, 1.13, 1.15, 1.17, 1.24, 1.27, 
## 1.3, 1.32, 1.37, 1.38, 1.4, 1.4, 1.41, 1.42, 1.17, 1.11, 0.75, 
## 0.7, 1.01, 1.03, 1.05, 1.07, 1.1, 1.12, 1.12, 1.13, 1.19, 1.19, 
## 1.18, 1.2, 1.2, 1.22, 1.25, 1.28, 1.3, 1.33, 1.38, 1.43, 1.49, 
## 1.5, 1.51, 1.53, 1.53, 1.53, 1.54, 1.24, 1.2, 1.08, 1.05, 1.03, 
## 1, 1, 1.02, 0.96, 0.93, 0.91, 0.9, 0.91, 0.94, 0.95, 0.95, 0.95, 
## 0.94, 0.93, 0.97, 0.99, 1.08, 1.1, 1.15, 1.19, 1.66, 1.65, 1.65, 
## 1.66, 1.68, 1.68, 1.68, 1.65, 1.23, 1.15, 1.05, 0.98, 0.89, 0.89, 
## 0.87, 0.83, 0.82, 0.87, 0.99, 1.02, 1.06, 1.08, 1.09, 1.11, 1.13, 
## 1.28, 1.35, 1.37, 1.47, 1.51, 1.51, 1.56, 1.47, 1.47, 1.4, 1.35, 
## 1.32, 1.29, 1, 0.94, 0.83, 0.72, 0.66, 0.68, 0.8, 0.96, 1.19, 
## 1.25, 1.27, 1.39, 1.16, 1.16, 1.16, 1.17, 1.21, 1.23, 1.22, 1.23, 
## 1.24, 1.24, 1.25, 1.23, 1.23, 1.24, 1.24, 1.24, 1.22, 1.23, 1.25, 
## 1.28, 1.27, 1.3, 1.31, 1.32, 1.21, 1.24, 1.21, 1.24, 1.25, 1.26, 
## 1.27, 1.27, 1.28, 1.28, 1.29, 1.29, 1.3, 1.3, 1.32, 1.34, 1.35, 
## 1.37, 1.34, 1.28, 1.24, 1.23, 1.21, 1.2, 123, 122, 122, 122, 
## 122, 122, 122, 122, 122, 123, 123, 123, 123, 123, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 123, 124, 124, 123, 
## 123, 123, 123, 123, 122, 122, 122, 122, 122, 123, 123, 123, 123, 
## 123, 123, 122, 122, 122, 122, 122, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 124, 124, 124, 124, 124, 124, 124, 
## 125, 125, 125, 125, 125, 125, 125, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 129, 129, 1.62, 1.62, 1.56, 1.56, 1.54, 1.5, 1.43, 
## 1.38, 1.3, 1.16, 1.02, 0.96, 0.91, 0.89, 0.88, 0.87, 0.84, 0.81, 
## 0.77, 0.76, 0.79, 0.77, 0.78, 0.8, 0.83, 0.92, 1.04, 1.1, 1.16, 
## 1.2, 1.24, 124, 124, 124, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 123, 123, 123, 123, 123, 123, 123, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 123, 123, 123, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 123, 123, 123, 
## 123, 123, 123, 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 
## 121, 121, 122, 122, 122, 122, 122, 122, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 122, 122, 122, 122, 122, 
## 121, 121, 121, 121, 121, 122, 122, 122, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 122, 122, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 123, 123, 123, 123, 123, 123, 122, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 120, 120, 120, 121, 121, 121, 121, 122, 122, 
## 123, 123, 124, 124, 123, 123, 123, 123, 122, 122, 122, 122, 122, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 123, 123, 123, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 123, 123, 123, 123, 123, 123, 123, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 122, 122, 122, 122, 121, 120, 120, 120, 
## 119, 119, 119, 118, 118, 119, 119, 120, 120, 121, 121, 122, 122, 
## 123, 122, 122, 122, 121, 121, 121, 121, 121, 120, 120, 121, 121, 
## 121, 121, 121, 122, 122, 122, 123, 123, 123, 123, 123, 123, 122, 
## 122, 122, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 122, 
## 123, 123, 123, 123, 122, 121, 120, 120, 121, 121, 121, 122, 122, 
## 123, 123, 124, 124, 124, 124, 124, 124, 124, 124, 123, 123, 123, 
## 123, 123, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 123, 
## 123, 123, 1.34, 1.04, 1.05, 1.33, 1.38, 1.41, 1.42, 1.47, 1.53, 
## 1.56, 1.59, 1.66, 1.69, 1.72, 1.73, 1.69, 1.53, 0.75, 0.82, 0.89, 
## 1.07, 1.16, 1.25, 1.36, 1.36, 1.36, 1.54, 1.59, 1.63, 1.69, 1.74, 
## 1.84, 1.89, 1.96, 2.01, 2.05, 2.15, 2.16, 2.15, 2.17, 2.03, 2.01, 
## 1.42, 1.29, 1.2, 1.14, 1.06, 0.94, 0.87, 0.64, 0.6, 0.55, 0.47, 
## 0.42, 0.35, 0.34, 0.36, 0.38, 0.39, 0.41, 0.52, 0.57, 0.62, 0.59, 
## 0.61, 0.69, 0.78, 0.86, 1.05, 1.2, 1.35, 1.44, 1.67, 1.74, 1.83, 
## 1.83, 1.82, 1.84, 1.82, 1.81, 1.8, 1.81, 1.79, 1.66, 1.62, 1.56, 
## 1.52, 1.46, 1.38, 1.39, 1.33, 1.25, 0.94, 0.88, 0.85, 0.86, 1, 
## 1.13, 1.19, 1.24, 1.25, 1.25, 1.24, 1.28, 1.31, 1.4, 1.46, 1.64, 
## 1.95, 2.12, 2.22, 2.25, 2.25, 2.15, 2.13, 2.06, 1.98, 1.61, 1.53, 
## 1.42, 1.23, 1.14, 1.05, 0.96, 1.92, 2.12, 2.13, 2.14, 2.14, 2.11, 
## 1.78, 1.72, 1.68, 1.62, 1.57, 1.53, 1.47, 1.41, 1.34, 1.2, 1.1, 
## 0.94, 0.67, 0.59, 0.54, 0.76, 0.78, 0.79, 0.82, 0.84, 0.85, 0.83, 
## 0.82, 0.82, 0.93, 0.96, 1.01, 1.14, 1.21, 1.42, 1.68, 1.7, 1.82, 
## 1.79, 1.75, 1.73, 1.69, 1.54, 1.48, 1.38, 1.34, 1.25, 1.21, 1.17, 
## 1.13, 0.83, 0.71, 0.52, 0.42, 0.37, 0.28, 0.25, 0.25, 0.24, 0.2, 
## 0.19, 0.23, 0.26, 0.48, 0.54, 0.9, 1.39, 1.46, 1.54, 1.6, 1.72, 
## 1.86, 1.91, 1.93, 1.97, 2.08, 2.16, 2.15, 2.12, 2.03, 1.95, 1.67, 
## 1.46, 1.36, 1.25, 1.82, 1.87, 1.94, 2.13, 2.1, 2.03, 1.98, 1.78, 
## 1.72, 1.53, 1.45, 1.19, 1.06, 1.01, 0.92, 0.87, 0.81, 0.75, 0.49, 
## 0.41, 0.4, 0.39, 0.46, 0.88, 0.96, 1.05, 1.24, 1.33, 1.5, 1.56, 
## 1.68, 1.95, 2.16, 2.19, 2.22, 2.22, 2.25, 2.28, 2.29, 2.28, 2.24, 
## 2.12, 2.02, 1.79, 1.6, 1.41, 1.21, 1.11, 1.03, 0.89, 0.83, 0.68, 
## 0.73, 0.77, 1.13, 1.15, 1.18, 1.17, 1.17, 1.18, 1.18, 1.21, 1.3, 
## 1.44, 1.67, 1.75, 1.95, 2.07, 1.95, 1.95, 1.86, 1.71, 1.51, 1.31, 
## 1.13, 0.64, 0.41, 0.33, 0.27, 0.12, 0.05, -0.01, 0.04, 0.24, 
## 0.3, 0.59, 0.95, 1.17, 1.3, 1.46, 1.58, 1.65, 1.78, 1.84, 1.82, 
## 1.79, 1.71, 1.7, 1.64, 1.61, 1.36, 1.3, 1.24, 1.16, 1.08, 1.02, 
## 0.95, 0.92, 0.7, 0.59, 0.56, 0.4, 0.51, 0.58, 0.69, 0.83, 0.88, 
## 1, 1.2, 1.33, 1.44, 1.57, 1.57, 1.55, 1.55, 1.49, 1.23, 1.15, 
## 0.93, 0.84, 0.78, 0.72, 0.7, 0.69, 0.61, 0.54, 0.45, 0.37, 0.21, 
## 0.21, 0.21, 0.21, 0.38, 0.67, 0.78, 0.87, 0.98, 1.2, 1.36, 1.62, 
## 2.08, 2.18, 2.29, 2.52, 2.6, 2.76, 2.8, 2.79, 2.72, 2.71, 2.66, 
## 2.59, 2.4, 1.97, 1.83, 1.65, 1.54, 1.44, 1.36, 1.22, 1.14, 1.08, 
## 0.95, 0.88, 0.64, 0.45, 0.37, 0.27, 0.17, 0.05, 0.01, 0, 0.06, 
## 0.09, 0.19, 0.53, 0.76, 0.89, 1.01, 1.11, 1.22, 1.36, 1.51, 2.34, 
## 2.37, 2.4, 2.43, 2.47, 2.48, 2.45, 2.24, 2.15, 2.07, 1.98, 1.75, 
## 1.63, 1.56, 1.13, 0.72, 0.65, 0.56, 0.53, 0.56, 0.73, 0.77, 0.78, 
## 0.84, 0.87, 0.88, 0.9, 1.14, 1.19, 1.26, 1.42, 1.49, 1.52, 1.56, 
## 1.68, 1.62, 1.57, 1.46, 1.41, 1.35, 1.27, 1.1, 1.04, 0.96, 0.86, 
## 0.73, 0.66, 1.34, 1.38, 1.4, 1.4, 1.4, 1.42, 1.43, 1.52, 1.54, 
## 1.47, 1.46, 1.47, 1.46, 1.4, 1.45, 1.41, 1.24, 1.18, 1.15, 1.1, 
## 1.08, 1, 0.94, 0.94, 0.94, 0.94, 0.96, 0.99, 1.03, 1.09, 1.23, 
## 1.37, 1.41, 1.45, 1.54, 1.55, 1.53, 1.57, 1.64, 1.65, 1.65, 1.65, 
## 1.68, 1.65, 1.64, 1.64, 1.56, 1.49, 1.39, 1.26, 1.12, 0.85, 0.96, 
## 0.98, 1.01, 1.05, 1.15, 1.2, 1.21, 1.23, 1.26, 1.33, 1.33, 1.33, 
## 1.36, 1.43, 1.55, 1.6, 1.59, 1.61, 1.61, 1.61, 1.48, 1.32, 1.27, 
## 1.24, 1.22, 1.25, 1.28, 1.36, 1.4, 1.45, 1.47, 1.49, 1.46, 1.48, 
## 1.57, 1.72, 1.79, 1.85, 1.88, 1.92, 1.82, 1.8, 1.74, 1.63, 1.59, 
## 1.51, 1.46, 1.41, 1.36, 1.29, 1.2, 1.13, 1.06, 1.04, 1.03, 1.05, 
## 1.08, 1.14, 1.17, 1.2, 1.3, 1.38, 1.49, 1.55, 1.63, 1.69, 1.72, 
## 1.73, 1.75, 1.84, 1.85, 1.79, 1.75, 1.67, 1.55, 1.45, 1.37, 1.33, 
## 1.32, 1.29, 1.16, 1.11, 1.06, 1.03, 0.92, 0.92, 0.91, 0.95, 1.01, 
## 0.99, 1.02, 1.21, 1.2, 1.22, 1.24, 1.23, 1.27, 1.23, 1.25, 1.28, 
## 1.26, 1.27, 1.25, 1.2, 1.13, 1.09, 1.06, 0.95, 0.94, 1.16, 1.17, 
## 1.16, 1.14, 1.17, 1.17, 1.1, 1.1, 1.08, 1.02, 1.02, 1.02, 1, 
## 1.08, 1.12, 1.14, 1.17, 1.2, 1.23, 1.29, 1.34, 1.38, 1.45, 1.58, 
## 1.62, 1.63, 1.64, 1.66, 1.66, 1.72, 1.73, 1.7, 1.7, 1.74, 1.75, 
## 1.74, 1.74, 1.66, 1.62, 1.64, 1.65, 1.65, 1.67, 1.67, 1.62, 1.71, 
## 1.82, 1.85, 1.86, 1.82, 1.81, 1.81, 1.77, 1.76, 1.81, 1.83, 1.84, 
## 1.83, 1.85, 1.7, 1.5, 1.29, 1.28, 1.17, 1.12, 1.09, 1.06, 1.03, 
## 1.01, 0.95, 0.93, 0.91, 0.71, 0.68, 0.64, 0.64, 0.65, 0.66, 0.68, 
## 0.69, 0.7, 0.71, 0.73, 0.78, 0.84, 0.88, 0.93, 0.99, 1.04, 1.1, 
## 1.21, 1.29, 1.51, 1.62, 1.63, 1.65, 1.66, 1.67, 1.68, 1.76, 1.73, 
## 1.73, 1.71, 1.72, 1.73, 1.72, 1.72, 1.63, 1.59, 1.56, 1.48, 1.45, 
## 1.43, 1.38, 1.35, 1.33, 1.31, 1.28, 1.23, 1.19, 1.15, 1.09, 1.02, 
## 0.93, 0.89, 0.9, 0.93, 1.1, 1.13, 1.17, 1.2, 1.21, 1.48, 1.47, 
## 1.53, 1.54, 1.54, 1.5, 1.39, 1.36, 1.31, 1.26, 1.28, 1.28, 1.29, 
## 1.29, 1.31, 1.35, 1.14, 1.15, 1.21, 1.22, 1.26, 1.28, 1.32, 1.36, 
## 1.69, 1.72, 1.77, 1.79, 1.78, 1.74, 1.74, 1.48, 1.34, 1.3, 1.23, 
## 0.97, 0.89, 0.85, 0.81, 0.81, 0.8, 0.89, 1.03, 1.15, 1.19, 1.18, 
## 1.22, 1.27, 1.28, 1.33, 1.42, 1.49, 1.45, 1.38, 1.32, 1.13, 0.97, 
## 0.93, 0.9, 0.83, 0.56, 0.53, 0.53, 0.59, 0.59, 0.95, 1.13, 1.21, 
## 1.51, 1.58, 1.64, 1.69, 1.71, 1.74, 1.93, 1.97, 1.98, 1.96, 1.89, 
## 1.93, 1.95, 2.06, 2.07, 2.02, 1.97, 1.78, 1.59, 1.52, 1.44, 1.38, 
## 1.38, 1.4, 1.44, 1.47, 1.52, 1.58, 1.73, 1.76, 1.81, 1.87, 1.91, 
## 1.92, 1.67, 1.64, 1.62, 1.46, 1.42, 1.43, 1.44, 1.44, 1.44, 1.49, 
## 1.53, 1.54, 1.55, 1.55, 1.61, 1.6, 1.58, 1.57, 1.55, 1.55, 1.53, 
## 1.46, 1.45, 1.33, 1.31, 1.32, 1.32, 1.33, 1.27, 1.24, 1.15, 1.14, 
## 0.98, 0.96, 0.95, 0.91, 0.91, 0.91, 0.91, 0.88, 0.89, 0.86, 0.83, 
## 0.75, 0.73, 0.7, 0.71, 0.68, 0.65, 0.61, 0.62, 0.63, 0.63, 0.6, 
## 0.56, 0.54, 0.54, 0.53, 0.51, 0.52, 0.55, 0.64, 0.66, 0.68, 0.62, 
## 0.62, 0.69, 0.74, 0.86, 0.96, 1.13, 1.25, 1.29, 1.35, 1.29, 1.24, 
## 1.26, 1.29, 1.36, 0.6, 0.62, 0.62, 0.61, 0.6, 0.59, 0.6, 0.79, 
## 0.88, 0.96, 1, 1.02, 1.03, 1.06, 1.08, 1.08, 1.08, 1.09, 1.08, 
## 1.04, 1.01, 0.98, 0.94, 0.88, 0.79, 0.73, 0.68, 0.67, 0.71, 0.74, 
## 0.76, 0.76, 0.77, 0.79, 0.83, 0.84, 0.87, 0.98, 1.02, 1.11, 0.89, 
## 0.86, 0.86, 0.97, 1, 1.03, 1.11, 1.14, 1.12, 1.15, 1.13, 0.86, 
## 0.78, 0.75, 0.72, 0.56, 0.46, 0.39, 0.38, 0.35, 0.24, 0.24, 0.26, 
## 0.32, 0.4, 0.55, 0.63, 0.7, 0.83, 0.93, 1.12, 1.14, 1.17, 1.22, 
## 1.22, 1.2, 1.06, 1.02, 0.91, 0.89, 0.87, 0.86, 0.86, 0.96, 1.03, 
## 1, 1.02, 1.09, 1.15, 1.12, 1.09, 0.97, 0.59, 0.52, 0.46, 0.42, 
## 0.36, 0.28, 0.15, 0.11, 0.04, 0.92, 0.89, 0.86, 0.86, 0.86, 0.92, 
## 0.87, 0.94, 1.04, 1.08, 1.08, 1.03, 0.94, 0.87, 0.8, 0.75, 0.62, 
## 0.5, 0.45, 0.36, 0.27, 0.26, 0.25, 0.24, 0.23, 0.27, 0.32, 0.48, 
## 0.66, 0.82, 0.95, 0.99, 1.03, 1.12, 1.22, 1.19, 1.14, 1.11, 1.07, 
## 1.03, 1, 0.94, 0.98, 1, 1.02, 1.02, 1.02, 1.02, 1.05, 1.08, 1.03, 
## 1.03, 1, 0.96, 0.86, 0.73, 0.67, 0.63, 0.59, 0.61, 0.59, 0.47, 
## 0.41, 0.29, 0.28, 0.31, 0.41, 0.43, 0.47, 0.53, 0.77, 0.85, 0.91, 
## 1.07, 1.21, 1.19, 1.21, 1.2, 1.16, 1.11, 1.01, 0.92, 0.76, 0.75, 
## 0.82, 0.89, 0.96, 0.98, 1.05, 1.09, 1.14, 1.25, 1.26, 1.29, 1.31, 
## 1.33, 1.29, 1.22, 1.14, 1.06, 0.83, 0.65, 0.65, 0.62, 0.59, 0.62, 
## 0.67, 0.69, 0.85, 1, 1.07, 1.11, 1.31, 1.33, 1.35, 0.72, 0.66, 
## 0.61, 0.46, 0.45, 0.44, 0.48, 0.52, 0.62, 0.67, 0.73, 0.7, 0.62, 
## 0.5, 0.48, 0.55, 0.65, 0.7, 0.82, 0.84, 0.84, 0.92, 0.98, 1.02, 
## 1.06, 1.15, 1.13, 1.03, 0.95, 0.87, 0.73, 0.6, 0.55, 0.48, 0.49, 
## 0.45, 0.39, 0.3, 0.53, 0.91, 1.13, 1.29, 1.4, 1.43, 1.47, 1.5, 
## 1.6, 1.54, 1.42, 1.18, 1.11, 1.09, 1.09, 1.11, 1.13, 1.15, 1.21, 
## 1.25, 1.28, 1.35, 1.4, 1.58, 1.59, 1.62, 1.72, 1.68, 1.77, 1.77, 
## 1.81, 1.79, 1.54, 1.48, 1.35, 1.12, 0.95, 0.92, 0.83, 0.77, 0.73, 
## 0.73, 0.76, 0.8, 0.82, 0.8, 0.78, 0.79, 0.79, 0.84, 0.9, 0.95, 
## 0.96, 0.96, 0.97, 1.03, 1.04, 1.01, 0.77, 0.73, 0.7, 0.66, 0.65, 
## 0.65, 0.7, 0.72, 0.69, 0.65, 0.64, 0.66, 0.69, 0.72, 0.77, 0.73, 
## 0.67, -0.15, -0.12, -0.12, -0.11, -0.12, -0.12, -0.12, -0.12, 
## -0.15, -0.13, -0.09, -0.07, -0.08, -0.07, -0.11, -0.11, -0.12, 
## -0.11, -0.11, -0.11, -0.11, -0.13, -0.21, -0.26, -0.32, -0.39, 
## -0.38, -0.27, 0.4, 0.45, 0.47, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 127, 127, 127, 127, 127, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 127, 127, 127, 127, 127, 126, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 127, 127, 127, 127, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 126, 126, 126, 126, 126, 126, 126, 126, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 127, 127, 127, 126, 126, 126, 126, 126, 126, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 125, 125, 125, 125, 125, 
## 124, 124, 123, 123, 123, 122, 122, 121, 120, 120, 120, 118, 118, 
## 118, 118, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 118, 118, 118, 118, 118, 118, 119, 119, 119, 120, 
## 120, 120, 121, 121, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 123, 123, 123, 124, 124, 126, 126, 127, 127, 127, 127, 
## 127, 127, 127, 128, 128, 128, 127, 127, 127, 127, 127, 126, 126, 
## 126, 126, 126, 125, 125, 125, 125, 125, 125, 125, 125, 125, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 126, 127, 127, 127, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 126, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 124, 
## 124, 124, 124, 124, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 123, 123, 123, 123, 123, 123, 123, 123, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 116, 116, 116, 117, 117, 116, 116, 116, 116, 116, 
## 116, 115, 115, 116, 116, 116, 116, 116, 116, 117, 117, 117, 117, 
## 117, 117, 116, 116, 116, 116, 116, 116, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 114, 114, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 116, 116, 116, 116, 116, 
## 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 116, 116, 116, 116, 
## 116, 116, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 116, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 118, 118, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 116, 116, 116, 116, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 116, 116, 116, 116, 116, 116, 116, 116, 116, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 116, 116, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 117, 116, 116, 116, 116, 116, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 116, 116, 116, 116, 116, 116, 116, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 117, 117, 117, 117, 117, 118, 
## 117, 117, 117, 117, 117, 117, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 
## 115, 116, 116, 116, 116, 116, 116, 117, 117, 117, 117, 116, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 117, 117, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 116, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 116, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 116, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 118, 118, 118, 118, 118, 118, 118, 118, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 117, 122, 122, 122, 122, 122, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 125, 125, 125, 125, 125, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 117, 116, 116, 116, 116, 116, 116, 116, 115, 115, 
## 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
## 115, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 116, 116, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 
## 115, 115, 115, 115, 115, 115, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
## 116, 116, 116, 116, 116, 116, 116, -0.2, -0.2, -0.22, -0.22, 
## -0.22, -0.25, -0.2, -0.18, -0.16, -0.08, -0.07, -0.03, -0.02, 
## 0.01, 0.04, 0.08, 0.11, 0.23, 0.27, 0.36, 0.57, 0.45, 0.33, 0.21, 
## 0.14, 0.02, -0.13, -0.19, -0.29, -0.33, -0.41, -0.47, -0.52, 
## -0.57, -0.6, -0.67, -0.82, -0.82, -0.8, -0.76, -0.71, -0.64, 
## -0.66, -0.67, -0.61, -0.54, -0.47, -0.3, -0.26, 1.41, 1.27, 1.14, 
## 1.07, 1.02, 0.97, 0.97, 1.06, 1.13, 1.27, 1.3, 1.32, 1.4, 1.46, 
## 1.45, 1.43, 1.36, 1.35, 1.41, 1.42, 1.28, 1.21, 1.1, 0.95, 0.88, 
## 0.84, 0.81, 0.76, 0.04, 0.05, 0.07, 0.09, 0.21, 0.25, 0.31, 0.53, 
## 0.6, 0.7, 0.74, 0.99, 1.02, 0.99, 1.01, 1.04, 1.08, 1.08, 1.06, 
## 1.06, 1.03, 0.99, 1.12, 1.2, 1.16, 1.05, 0.99, 0.94, 0.88, 0.86, 
## 0.81, 0.7, 0.5, 0.42, 0.37, 0.31, 0.21, 0.24, 0.29, 0.33, 0.44, 
## 0.53, 0.62, 0.86, 0.9, 0.97, 1.04, 1.16, 1.19, 1.23, 1.25, 1.24, 
## 0.36, 0.27, 0.24, 0.26, 0.27, 0.36, 0.57, 0.79, 0.93, 1.04, 1.1, 
## 1.02, 1.02, 1.02, 0.98, 0.93, 0.89, 0.84, 0.79, 0.81, 0.86, 0.85, 
## 0.95, 0.98, 0.99, 1.03, 1.73, 1.68, 1.53, 1.5, 1.48, 1.18, 1.24, 
## 1.43, 1.51, 1.56, 1.55, 1.56, 1.54, 1.51, 1.54, 1.55, 1.56, 1.59, 
## 1.71, 1.87, 1.98, 2.09, 2.15, 2.18, 2.09, 2.04, 2.01, 1.95, 1.02, 
## 0.95, 0.63, 0.59, 0.56, 0.57, 0.57, 0.65, 0.75, 0.83, 0.92, 0.92, 
## 0.86, 0.85, 0.83, 0.85, 0.92, 1.02, 1.2, 1.61, 1.66, 0.79, 0.63, 
## 0.54, 0.47, 0.42, 0.36, 0.28, 0.28, 0.28, 0.24, 0.22, 0.19, 0.27, 
## 0.36, 0.39, 0.58, 0.72, 0.85, 0.92, 0.98, 1.12, 1.17, 1.34, 1.43, 
## 1.54, 1.66, 1.84, 1.17, 1.34, 1.51, 1.75, 1.9, 2, 2.01, 2.01, 
## 2, 1.99, 1.99, 1.99, 1.96, 1.8, 1.67, 1.45, 1.4, 1.28, 1, 0.81, 
## 1.2, 1.13, 0.97, 0.62, 0.37, 0.36, 0.3, 0.26, 0.26, 0.2, 0.2, 
## 0.2, 0.18, 0.23, 0.24, 0.29, 0.3, 0.47, 0.63, 0.78, 0.9, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 121, 121, 121, 121, 120, 120, 120, 120, 119, 119, 119, 119, 
## 119, 120, 120, 121, 121, 121, 122, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 122, 122, 122, 1.22, 
## 1.22, 1.4, 1.41, 1.31, 1.2, 1.17, 1.12, 1.09, 1.13, 1.13, 1.16, 
## 1.18, 1.2, 1.2, 1.16, 1.18, 1.2, 1.23, 1.22, 1.92, 2.05, 2.07, 
## 2.12, 2.08, 2.06, 2.03, 1.97, 1.84, 1.8, 1.8, 1.81, 1.78, 1.73, 
## 1.71, 1.72, 1.73, 1.74, 1.67, 1.62, 1.59, 1.65, 1.8, 1.81, 1.78, 
## 1.8, 1.82, 1.8, 1.78, 1.74, 1.68, 1.59, 1.5, 1.39, 1.35, 1.29, 
## 1.29, 1.3, 1.43, 1.42, 1.42, 1.44, 1.49, 1.54, 1.6, 1.73, 1.81, 
## 1.39, 1.38, 1.41, 1.41, 1.35, 1.38, 1.45, 1.43, 1.43, 1.49, 1.51, 
## 1.49, 1.51, 1.53, 1.53, 1.52, 1.51, 1.41, 1.35, 1.29, 1.28, 1.23, 
## 1.18, 1.7, 1.74, 1.74, 1.66, 1.64, 1.58, 1.52, 1.32, 1.26, 1.18, 
## 1.18, 1.21, 1.21, 1.21, 1.21, 1.22, 1.2, 1.23, 1.44, 1.53, 1.55, 
## 1.56, 1.59, 1.59, 0.85, 0.88, 0.89, 0.9, 0.93, 0.93, 0.95, 0.96, 
## 1.01, 1.05, 1.09, 1.16, 1.21, 1.26, 1.39, 1.41, 1.41, 1.36, 1.29, 
## 1.17, 1.05, 0.99, 0.78, 0.88, 0.94, 1.02, 1.13, 1.14, 1.14, 1.1, 
## 1.08, 1.07, 1.06, 1.15, 1.16, 1.14, 1.11, 1.07, 1.03, 0.93, 0.89, 
## 0.87, 0.85, 0.78, 0.75, 0.74, 0.69, 0.71, 0.76, 0.8, 0.94, 0.93, 
## 0.88, 0.82, 0.81, 0.81, 0.84, 0.96, 1.04, 1.11, 1.13, 1.15, 1.18, 
## 1.22, 1.25, 1.33, 1.4, 1.4, 1.43, 1.42, 1.41, 1.42, 1.44, 1.4, 
## 1.33, 1.3, 1.47, 1.47, 1.47, 1.49, 1.5, 1.51, 1.55, 1.56, 1.5, 
## 1.44, 1.4, 1.38, 1.32, 1.29, 1.19, 1.3, 1.31, 1.32, 1.33, 1.36, 
## 1.39, 1.38, 1.41, 1.38, 1.48, 123, 123, 123, 124, 124, 124, 124, 
## 124, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 123, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 123, 124, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 121, 121, 121, 121, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 121, 122, 122, 122, 122, 122, 122, 122, 121, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 121, 121, 121, 121, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 1.1, 1.26, 
## 1.39, 1.51, 1.55, 1.62, 1.65, 1.64, 1.64, 1.39, 1.38, 1.3, 1.25, 
## 1.34, 1.38, 1.41, 1.5, 1.53, 1.57, 1.59, 1.59, 1.61, 1.63, 1.61, 
## 1.65, 1.62, 1.56, 1.48, 1.42, 1.38, 1.37, 1.27, 1.19, 1.08, 1.09, 
## 1.1, 1.06, 1.02, 1, 1, 1, 1.02, 1.04, 1.05, 1.02, 1.02, 1.04, 
## 1.06, 1.09, 1.19, 1.31, 1.51, 1.53, 1.54, 1.54, 1.54, 1.55, 1.51, 
## 1.49, 1.47, 1.28, 1.19, 1.18, 1.19, 1.2, 1.22, 1.21, 1.2, 1.19, 
## 1.18, 1.25, 1.29, 1.31, 1.43, 1.45, 1.4, 1.37, 1.33, 1.3, 1.28, 
## 1.24, 1.23, 1.16, 1.13, 1.11, 1.06, 1.03, 0.99, 1.01, 0.97, 1, 
## 0.99, 0.97, 0.94, 0.98, 1.09, 1.13, 1.2, 1.32, 1.39, 1.43, 1.44, 
## 1.49, 1.47, 1.43, 1.4, 1.29, 1.23, 1.14, 1.1, 0.96, 0.87, 0.82, 
## 0.79, 0.78, 0.79, 0.84, 0.95, 1.01, 1.07, 1.13, 1.5, 1.71, 1.65, 
## 1.64, 1.63, 1.61, 1.53, 1.48, 1.45, 1.41, 1.31, 1.27, 1.12, 1.12, 
## 1.08, 1.04, 1.11, 1.17, 1.2, 1.23, 1.24, 1.26, 1.24, 1.26, 1.27, 
## 1.32, 1.36, 1.44, 1.48, 1.53, 1.54, 1.55, 1.57, 1.6, 1.6, 1.53, 
## 1.51, 1.47, 1.44, 1.33, 1.28, 1.19, 1.08, 0.89, 0.83, 0.82, 0.84, 
## 0.86, 0.88, 0.9, 0.92, 0.98, 1.2, 1.23, 1.33, 1.37, 1.47, 1.54, 
## 1.6, 1.6, 1.56, 1.52, 1.34, 1.1, 0.8, 0.54, 0.5, 0.64, 0.67, 
## 0.71, 1.02, 1.11, 1.21, 1.31, 1.35, 1.39, 1.46, 1.5, 1.54, 1.56, 
## 1.55, 1.54, 1.53, 1.51, 1.49, 1.49, 1.47, 1.47, 1.45, 1.42, 1.02, 
## 0.99, 0.98, 1, 1.11, 1.12, 1.16, 1.37, 1.41, 1.47, 1.49, 1.37, 
## 1.34, 1.23, 1.17, 1.15, 0.94, 0.9, 0.83, 0.66, 0.64, 0.69, 0.71, 
## 0.75, 0.99, 1.05, 1.12, 1.32, 1.59, 1.68, 1.86, 1.91, 1.97, 1.99, 
## 1.99, 1.96, 1.92, 1.88, 1.83, 1.39, 1.23, 1.19, 1.18, 1.16, 1.17, 
## 1.21, 1.31, 1.33, 1.34, 1.4, 1.45, 1.62, 1.6, 1.6, 1.59, 1.49, 
## 1.29, 1.24, 1.18, 1.09, 1.02, 0.8, 0.76, 0.7, 0.66, 0.61, 0.8, 
## 0.93, 0.98, 1.12, 1.18, 1.4, 1.44, 1.44, 1.48, 1.49, 1.54, 1.57, 
## 1.55, 1.54, 1.36, 1.22, 1.15, 1.03, 0.97, 0.9, 0.87, 0.89, 0.93, 
## 0.96, 1.09, 1.16, 1.25, 1.28, 1.34, 1.35, 1.46, 1.47, 1.51, 1.55, 
## 1.6, 1.58, 1.53, 1.47, 1.45, 1.38, 1.31, 1.22, 1.12, 1.03, 0.99, 
## 0.92, 0.84, 0.8, 0.83, 0.96, 1.08, 1.22, 1.29, 1.61, 1.7, 1.66, 
## 1.64, 1.66, 1.44, 1.37, 1.29, 1.16, 0.94, 0.85, 0.76, 0.68, 0.67, 
## 0.66, 0.68, 0.68, 0.74, 0.75, 0.78, 0.84, 0.9, 0.96, 1.02, 1.09, 
## 1.15, 1.23, 1.31, 1.35, 1.43, 0.67, 0.71, 0.77, 0.81, 0.91, 0.97, 
## 1.1, 1.14, 1.37, 1.47, 1.54, 1.55, 1.55, 1.55, 1.57, 1.63, 1.54, 
## 1.53, 1.39, 1.29, 1.23, 1.24, 1.23, 1.23, 1.22, 1.2, 1.22, 1.27, 
## 1.4, 1.49, 1.5, 1.5, 1.61, 1.59, 1.54, 1.5, 1.41, 1.35, 1.28, 
## 1.22, 1.07, 0.97, 0.95, 0.97, 0.97, 0.95, 0.93, 0.92, 0.87, 0.85, 
## 0.87, 0.93, 0.96, 0.96, 1.04, 1.08, 1.22, 1.23, 1.22, 1.21, 1.21, 
## 1.23, 1.25, 1.25, 1.26, 1.31, 1.32, 1.33, 1.31, 1.37, 1.35, 1.35, 
## 1.36, 1.39, 1.39, 1.4, 1.48, 1.49, 1.48, 1.47, 1.52, 1.48, 1.48, 
## 1.25, 1.23, 1.21, 1.2, 1.16, 1.17, 1.14, 1.12, 1.15, 1.21, 1.23, 
## 1.22, 1.25, 1.25, 1.23, 1.32, 1.3, 1.3, 1.27, 1.26, 1.29, 1.31, 
## 1.36, 1.34, 1.39, 1.4, 1.38, 1.36, 1.34, 1.36, 1.41, 1.43, 1.49, 
## 1.51, 1.63, 1.66, 1.67, 1.7, 1.81, 1.86, 1.9, 1.92, 1.92, 1.97, 
## 1.98, 1.92, 1.89, 1.9, 1.94, 1.97, 2.02, 1.92, 1.66, 1.52, 1.49, 
## 1.47, 1.39, 1.35, 1.37, 1.36, 1.27, 1.28, 1.26, 1.3, 1.35, 1.32, 
## 1.3, 1.26, 1.22, 1.23, 1.18, 1.15, 1.13, 1.14, 1.15, 1.1, 1.08, 
## 1.09, 1.11, 1.17, 1.23, 1.27, 1.25, 1.26, 1.31, 1.41, 1.48, 1.53, 
## 0.78, 0.8, 0.79, 0.81, 0.81, 0.84, 0.84, 0.87, 0.99, 1.03, 1.09, 
## 1.14, 1.2, 1.29, 1.3, 1.48, 1.52, 1.53, 1.51, 1.48, 1.45, 1.51, 
## 1.51, 1.51, 1.54, 1.55, 1.58, 1.6, 1.6, 1.58, 1.54, 1.38, 1.3, 
## 1.25, 1.23, 1.17, 1.03, 1.04, 1.03, 1.02, 1.03, 1, 0.98, 0.97, 
## 0.93, 0.96, 0.92, 0.89, 0.84, 0.81, 0.89, 0.89, 0.91, 0.92, 0.97, 
## 1, 1.03, 1.06, 1.11, 1.14, 1.19, 1.25, 1.26, 1.31, 1.36, 1.4, 
## 1.47, 1.45, 1.49, 1.49, 1.47, 1.49, 1.62, 1.69, 1.72, 1.71, 1.71, 
## 1.69, 1.51, 1.47, 1.36, 1.3, 1.28, 1.25, 1.24, 1.22, 1.21, 1.13, 
## 1.13, 1.11, 1.06, 0.9, 0.91, 0.94, 0.91, 0.91, 0.99, 1.11, 1.22, 
## 1.55, 1.59, 1.65, 1.6, 1.53, 1.33, 1.33, 1.41, 1.6, 1.74, 1.71, 
## 1.62, 1.38, 1.34, 1.3, 1.26, 1.22, 1.16, 1.14, 1.07, 0.82, 0.81, 
## 0.83, 0.83, 0.81, 0.77, 0.72, 0.68, 0.72, 0.71, 0.67, 0.7, 0.8, 
## 0.8, 0.8, 0.89, 0.93, 0.95, 0.97, 0.99, 1.04, 1.1, 1.13, 1.14, 
## 1.17, 1.21, 1.27, 1.35, 1.4, 1.55, 1.45, 1.49, 1.51, 1.53, 1.47, 
## 1.33, 1.3, 1.27, 1.17, 1.14, 1.09, 1.07, 1.06, 0.88, 0.89, 0.79, 
## 0.75, 0.74, 0.72, 0.66, 0.71, 0.67, 0.68, 0.76, 0.78, 0.8, 0.87, 
## 0.93, 0.97, 1.03, 1.15, 1.22, 1.31, 1.36, 1.46, 1.5, 1.52, 1.5, 
## 1.52, 1.51, 1.47, 1.47, 1.5, 1.55, 1.58, 1.57, 1.48, 1.34, 1.27, 
## 1.23, 1.18, 1.16, 1.14, 1.12, 0.96, 0.89, 0.83, 0.77, 0.72, 0.76, 
## 0.73, 0.86, 0.93, 0.96, 0.85, 0.82, 0.78, 0.74, 1.92, 1.87, 1.83, 
## 1.78, 1.77, 1.78, 1.71, 1.68, 1.64, 1.62, 1.56, 1.55, 1.54, 1.42, 
## 1.39, 1.33, 1.19, 1.18, 1.43, 1.72, 1.78, 1.85, 1.93, 2, 2.06, 
## 2.09, 2.1, 2.09, 2.05, 2.03, 2.04, 1.89, 1.93, 1.98, 2, 2.06, 
## 2.34, 2.44, 2.48, 2.58, 2.46, 2.4, 2.33, 2.29, 2.23, 2.21, 2.11, 
## 2.06, 1.82, 1.67, 1.64, 1.61, 1.53, 1.53, 1.41, 1.41, 1.39, 1.3, 
## 1.2, 1.21, 1.21, 1.14, 0.96, 0.89, 0.86, 0.81, 0.79, 0.76, 0.77, 
## 0.8, 0.81, 0.82, 0.84, 0.83, 0.83, 0.87, 0.87, 0.88, 0.93, 0.94, 
## 0.94, 0.94, 0.94, 0.91, 0.93, 0.94, 0.94, 0.93, 0.96, 0.98, 0.99, 
## 1.01, 1.11, 1.13, 1.13, 1.15, 1.19, 1.2, 1.18, 1.17, 1.19, 1.18, 
## 1.2, 1.21, 1.22, 1.32, 1.32, 1.24, 1.23, 0.62, 0.59, 0.58, 0.59, 
## 0.59, 0.59, 0.57, 0.63, 0.63, 0.6, 0.61, 0.64, 0.71, 0.76, 0.77, 
## 0.84, 0.87, 0.83, 0.79, 0.69, 0.51, 0.47, 0.41, 0.35, 0.33, 0.32, 
## 0.3, 0.28, 0.28, 0.3, 0.38, 0.42, 0.46, 0.46, 0.45, 0.4, 0.41, 
## 0.47, 0.5, 0.55, 0.63, 0.72, 0.8, 0.81, 0.86, 0.89, 0.89, 0.89, 
## 0.86, 0.86, 0.85, 0.84, 0.85, 0.87, 0.88, 0.9, 0.94, 1.05, 1.07, 
## 1.06, 1.04, 1.05, 1.05, 1.05, 1.05, 1.07, 1.07, 1.06, 1.05, 1.02, 
## 0.95, 0.9, 0.87, 0.83, 0.67, 0.54, 0.48, 0.46, 0.4, 0.4, 0.4, 
## 0.45, 0.55, 0.58, 0.61, 0.64, 0.72, 0.99, 1.03, 1.12, 1.21, 0.95, 
## 0.95, 0.96, 0.97, 1.02, 1.08, 1.12, 1.14, 1.2, 1.21, 1.06, 1.02, 
## 0.9, 0.76, 0.74, 0.61, 0.57, 0.51, 0.48, 0.45, 0.43, 0.39, 0.39, 
## 0.38, 0.39, 0.4, 0.41, 0.43, 0.46, 0.54, 0.57, 0.59, 0.66, 0.73, 
## 0.77, 0.62, 0.48, 0.48, 0.46, 0.34, 0.33, 0.33, 0.34, 0.35, 0.35, 
## 0.4, 0.47, 0.49, 0.52, 0.54, 0.64, 0.72, 0.82, 0.86, 1.03, 1.08, 
## 1.08, 1.07, 1.06, 1.03, 1.03, 1.03, 1.03, 1.06, 1.08, 1.12, 1.14, 
## 1.17, 1.19, 1.16, 1.12, 1.07, 1.05, 0.98, 0.7, 0.65, 0.62, 0.54, 
## 0.48, 0.38, 0.21, 0.18, 0.25, 0.34, 0.36, 0.37, 0.39, 0.4, 0.42, 
## 0.61, 0.77, 0.89, 0.97, 1.04, 1.06, 1.04, 1.01, 1.03, 1.02, 1.02, 
## 1.01, 1, 0.98, 0.99, 1, 0.99, 0.97, 0.96, 0.95, 0.93, 0.92, 0.9, 
## 0.84, 0.78, 0.75, 0.71, 0.68, 0.65, 0.57, 0.2, 0.1, -0.11, -0.14, 
## -0.14, -0.09, -0.01, 0.03, 0.06, 0.09, 0.27, 0.5, 0.61, 0.83, 
## 0.88, 1.03, 1.14, 1.15, 1.17, 1.2, 1.24, 1.26, 1.25, 1.24, 1.25, 
## 1.26, 1.25, 1.23, 1.19, 1.14, 1.1, 1.08, 1.06, 1.09, 1.08, 0.96, 
## 0.9, 0.87, 0.86, 0.73, 0.71, 0.71, 0.71, 0.72, 0.71, 0.7, 0.7, 
## 0.82, 0.85, 0.88, 1.02, 1.03, 1.05, 1.02, 1.03, 1.07, 1.08, 1.09, 
## 1.12, 1.23, 1.21, 1.09, 1.03, 0.86, 0.75, 0.69, 0.49, 0.47, 0.43, 
## 0.38, 0.33, 0.29, 0.29, 0.31, 0.43, 0.46, 0.51, 0.55, 0.68, 0.73, 
## 0.9, 0.94, 1.01, 1.1, 1.12, 1.15, 1.13, 1.13, 1.27, 1.31, 1.34, 
## 1.33, 1.32, 1.25, 1.16, 1.14, 1.12, 1.11, 1.09, 1.06, 0.88, 0.81, 
## 0.82, 0.86, 0.89, 0.88, 0.85, 0.72, 0.67, 0.62, 0.53, 0.64, 0.65, 
## 0.68, 0.7, 0.76, 0.77, 0.82, 0.87, 0.89, 0.93, 0.94, 0.96, 1.04, 
## 0.99, 0.8, 0.71, 0.75, 0.78, 0.8, 0.79, 0.79, 0.78, 0.79, 0.8, 
## 0.77, 0.78, 0.74, 0.75, 0.64, 0.6, 0.58, 0.56, 0.54, 0.52, 0.45, 
## 0.39, 0.1, 0.1, 0.11, 0.23, 0.27, 0.33, 0.36, 0.35, 0.33, 0.34, 
## 0.33, 0.3, 0.27, 0.26, 0.28, 0.28, 0.28, 0.3, 0.3, 0.31, 0.31, 
## 0.33, 0.35, 0.36, 0.41, 0.47, 0.54, 0.58, 0.6, 0.62, 0.68, 0.72, 
## 0.75, 0.82, 0.82, 0.89, 0.91, 0.86, 0.84, 0.84, 0.79, 0.79, 0.8, 
## 0.84, 0.81, 0.82, 0.82, 0.83, 0.82, 0.84, 0.86, 0.86, 0.9, 0.92, 
## 0.93, 0.88, 0.86, 0.88, 0.92, 0.97, 1, 1.09, 1.21, 1.25, 1.29, 
## 1.37, 1.35, 1.32, 1.19, 1.1, 1.02, 1, 0.97, 0.96, 1.05, 1.06, 
## 1.1, 1.1, 1.11, 1.15, 1.35, 1.37, 1.36, 1.37, 1.4, 1.24, 1.21, 
## 1.16, 0.93, 0.89, 0.89, 0.9, 0.87, 0.87, 0.87, 0.88, 0.86, 0.85, 
## 0.88, 1.04, 1.21, 1.28, 1.39, 1.44, 1.45, 1.42, 1.36, 1.3, 1.24, 
## 1.16, 1.13, 1.08, 1.22, 1.27, 1.27, 1.32, 1.34, 1.3, 1.28, 1.25, 
## 0.74, 0.63, 0.48, 0.45, 0.43, 0.4, 0.4, 0.42, 0.65, 0.69, 0.55, 
## 0.53, 0.52, 0.51, 0.58, 0.7, 0.74, 0.82, 0.85, 0.89, 0.92, 0.87, 
## 0.83, 0.83, 0.83, 0.81, 0.8, 0.82, 0.82, 0.84, 0.85, 0.8, 0.79, 
## 0.77, 0.75, 0.75, 0.75, 0.75, 0.72, 0.72, 0.7, 0.7, 0.71, 0.7, 
## 0.65, 0.6, 0.57, 0.53, 0.5, -0.33, -0.36, -0.4, -0.44, -0.48, 
## -0.51, -0.52, -0.53, -0.5, -0.47, -0.43, -0.38, -0.33, -0.29, 
## -0.27, -0.25, -0.23, -0.19, -0.15, -0.01, 0.05, 0.11, 0.54, 0.6, 
## 0.62, 0.6, 0.58, 0.62, 0.64, 0.64, 0.65, 0.63, 0.64, 0.71, 0.58, 
## 0.55, 0.43, 0.4, 0.42, 0.45, 0.47, 0.59, 0.68, 0.66, 0.71, 0.74, 
## 0.88, 0.86, 0.85, 0.85, 0.86, 0.88, 0.87, 0.9, 0.91, 0.93, 0.95, 
## 0.97, 0.97, 1, 1.01, 1, 1.02, 1, 0.96, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 124, 
## 126, 126, 126, 126, 126, 126, 126, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 128, 128, 128, 128, 128, 128, 128, 128, 128, 
## 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 
## 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 128, 128, 128, 128, 128, 128, 128, 128, 
## 128, 128, 128, 128, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 
## 128, 128, 128, 128, 128, 128, 128, 128, 127, 127, 127, 127, 127, 
## 128, 128, 128, 128, 127, 128, 128, 128, 128, 128, 128, 128, 128, 
## 128, 127, 128, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 126, 126, 126, 
## 126, 126, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 126, 126, 127, 127, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 124, 124, 124, 124, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 124, 124, 124, 123, 123, 123, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 
## 125, 125, 125, 125, 127, 127, 127, 126, 126, 126, 126, 126, 126, 
## 126, 126, 126, 126, 127, 127, 127, 127, 127, 127, 126, 127, 127, 
## 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 128, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
## 127, 127, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 
## 128, 128, 127, 128, 128, 125, 125, 125, 125, 126, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
## 126, 126, 125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 126, 
## 126, 126, 126, 126, 126, 125, 125, 126, 126, 126, 126, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 117, 117, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 117, 117, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 119, 119, 119, 119, 119, 119, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 119, 119, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 119, 119, 
## 119, 119, 119, 119, 119, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 119, 119, 119, 119, 
## 119, 119, 119, 120, 119, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 119, 119, 119, 119, 119, 119, 119, 119, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 
## 121, 121, 121, 121, 121, 121, 121, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 121, 121, 121, 121, 121, 120, 120, 120, 120, 120, 
## 120, 120, 120, 121, 120, 120, 120, 121, 120, 120, 120, 120, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 119, 119, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 121, 121, 121, 121, 121, 121, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 117, 117, 117, 
## 117, 117, 117, 117, 117, 117, 118, 118, 118, 117, 117, 117, 117, 
## 118, 118, 117, 117, 117, 117, 117, 117, 117, 117, 0.74, 0.63, 
## 0.58, 0.66, 0.67, 0.67, 0.7, 0.68, 0.67, 0.66, 0.66, 0.49, 0.45, 
## 0.43, 0.42, 0.41, 0.43, 0.44, 0.48, 0.65, 0.64, 0.49, 0.42, 0.37, 
## 0.29, 0.21, 0.09, 0.07, 0.03, -0.08, -0.14, -0.16, -0.18, -0.19, 
## -0.27, -0.38, -0.46, -0.44, -0.4, -0.28, -0.29, 0.93, 1.02, 1.1, 
## 1.13, 1.16, 1.11, 1.11, 1.12, 1.12, 1.12, 1.14, 1.4, 1.27, 1.19, 
## 1.15, 1.14, 1.11, 0.94, 0.89, 0.84, 1.54, 1.53, 1.48, 1.39, 1.34, 
## 1.21, 1.16, 1.1, 1.07, 0.99, 0.94, 0.86, 0.84, 0.82, 0.71, 0.69, 
## 0.69, 0.69, 1.35, 1.43, 1.48, 1.53, 1.52, 1.41, 1.37, 1.26, 1.21, 
## 1.1, 1.06, 0.88, 0.8, 0.8, 0.8, 0.81, 0.8, 0.77, 0.76, 0.79, 
## 0.81, 0.81, 0.89, 0.94, 1.01, 1.06, 1.59, 1.57, 1.58, 1.55, 1.52, 
## 1.52, 1.48, 1.39, 1.26, 1.22, 1.2, 1.16, 1.06, 1.01, 0.96, 0.88, 
## 0.83, 0.64, 0.61, 0.6, 0.64, 0.69, 0.79, 0.84, 0.91, 0.99, 1.32, 
## 1.42, 1.48, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 121, 121, 121, 123, 123, 123, 123, 123, 123, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 123, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 123, 123, 123, 124, 124, 123, 123, 123, 123, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
## 123, 123, 123, 0.77, 0.84, 1.31, 1.38, 1.39, 1.42, 1.48, 1.52, 
## 1.56, 1.6, 1.64, 1.67, 1.72, 1.74, 1.76, 1.77, 1.77, 1.75, 1.83, 
## 1.85, 1.87, 1.9, 1.92, 1.96, 1.99, 2.03, 2.06, 2.09, 2.04, 2, 
## 1.56, 1.55, 1.56, 1.55, 1.46, 1.41, 1.38, 1.36, 1.31, 1.3, 1.29, 
## 1.26, 1.13, 1.11, 1.02, 1.05, 1.01, 1.01, 0.91, 0.86, 0.84, 0.84, 
## 1.29, 1.31, 1.34, 1.45, 1.42, 1.39, 1.36, 1.35, 1.39, 1.42, 1.55, 
## 1.57, 1.58, 1.62, 1.64, 1.64, 1.61, 1.6, 1.57, 1.59, 1.6, 1.64, 
## 1.63, 1.64, 1.62, 1.62, 1.55, 1.51, 1.47, 1.46, 1.45, 1.51, 1.6, 
## 1.58, 1.59, 1.54, 1.44, 1.42, 1.4, 1.34, 1.26, 1.22, 1.2, 1.18, 
## 1.17, 1.16, 1.18, 1.27, 1.18, 0.88, 0.93, 1.02, 1.13, 1.14, 1.13, 
## 1.14, 1.15, 1.14, 1.1, 1.09, 1.04, 1.02, 1.04, 1.05, 1.01, 1.02, 
## 1, 1.03, 1.06, 1.09, 1.09, 1.11, 1.38, 1.41, 1.43, 1.51, 1.52, 
## 1.53, 1.56, 1.67, 1.75, 1.78, 1.86, 1.83, 1.79, 1.6, 1.43, 1.33, 
## 1.28, 1.24, 1.24, 1.18, 1.17, 1.16, 1.17, 1.15, 1.18, 1.19, 1.17, 
## 1.14, 1.12, 1.12, 1.11, 1.1, 1.08, 1.09, 1.11, 1.12, 1.12, 1.14, 
## 1.17, 1.2, 1.19, 1.18, 1.18, 1.17, 1.16, 1.11, 1.08, 1.05, 0.99, 
## 0.92, 0.86, 0.85, 0.85, 0.85, 0.86, 0.83, 0.86, 0.9, 0.9, 0.9, 
## 0.94, 0.96, 1.02, 1.06, 1.09, 1.07, 1.05, 0.99, 0.93, 0.76, 0.56, 
## 0.45, 0.32, 0.32, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 122, 122, 122, 122, 122, 121, 121, 121, 121, 120, 120, 120, 
## 120, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 121, 121, 121, 121, 121, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 122, 
## 122, 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 120, 120, 120, 120, 121, 121, 121, 121, 
## 121, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 121, 121, 121, 121, 
## 121, 121, 121, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 
## 122, 122, 122, 122, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 123, 123, 123, 123, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 121, 
## 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
## 122, 122, 122, 122, 121, 120, 120, 120, 119, 118, 118, 118, 118, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 120, 
## 120, 120, 120, 120, 120, 120, 120, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 120, 120, 120, 120, 120, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 118, 118, 118, 118, 
## 118, 118, 118, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 118, 118, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
## 117, 118, 118, 118, 118, 118, 118, 118, 118, 118, 119, 121, 121, 
## 121, 121, 121, 120, 120, 119, 118, 118, 117, 116, 115, 115, 1.22, 
## 1.2, 1.15, 1.11, 1.03, 0.38, 0.21, -0.4, -0.74, -1.81, -2.22, 
## -2.78, -2.68, -1.97, -0.72, 0.77, 3.08, 4.65, 7.85, 10.8, 12.7, 
## 13.4, 13.5, 13.5, 13.3, 13, 12.6, 12.2, 11.7, 11.2, 10.7, 8.83, 
## 8.08, 5.57, 3.68, -0.18, -1.19, -2.15, -5.46, -6.57, -7.63, -9.69, 
## -10.6, -12.1, -12.9, -14.4, -15.3, -16.1, -18.5, -19.1, -20.9, 
## -21.1, -21.4, -21.2, -21.1, -20.7, -20.4, -20.1, -18.5, -17.8, 
## -17.2, -16.4, -15.5, -14.5, -13.5, -11.2, -8.46, -0.1, 3.61, 
## 4.88, 5.97, 12, 13.6, 14, 14.3, 14.5, 14.6, 14.9, 14.9, 14.6, 
## 14.4, 13.9, 13.6, 13.2, 12.3, 11.1, 8.71, 5.95, 4.92, 3.97, 2.94, 
## 1.92, 0.86, -1.35, -2.5, -3.62, -4.57, -5.47, -6.31, -9.3, -10.2, 
## -11.2, -14.9, -18.1, -19.3, 8.17, 9.29, 11.2, 12.7, 13.7, 14.4, 
## 14.3, 13.5, 13, 9.73, 9.06, 8.25, 4.51, 3.53, -0.79, -1.96, -4.18, 
## -5.26, -6.28, -9.41, -10.4, -12.2, -14, -17.7, -18.5, -19.2, 
## -21.4, -21.9, -22.3, -23.2, -23.5, -23.7, -23.9, -24.2, -23.8, 
## -21.6, -21, -20.2, -19.4, -18.5, -17.6, -16.6, -15.5, -14.2, 
## -11.4, -9.95, -3.97, 1.47, 2.65, 3.99, 5.28, -3.74, -2.22, 0.45, 
## 1.65, 3.05, 4.59, 6.34, 10.7, 11.7, 13.1, 14.4, 15.6, 16, 15.6, 
## 15.3, 15, 14.2, 13, 12.3, 11.5, 9.61, 8.64, 6.61, 5.53, 4.35, 
## 3.22, 2.02, -0.17, -1.19, -4.94, -7.51, -8.25, -9.09, -10.8, 
## -11.8, -12.7, -13.8, -20.6, -22.3, -24.6, -25.3, -26.5, -27, 
## -27.4, -27.8, -28.1, -28.3, -28.3, -28, -25.9, -25.3, -24.5, 
## -23.7, -19.7, -18.5, -15.9, -14.6, -7.34, -5.92, 1.4, 2.86, 4.23, 
## 8.9, 9.86, 10.7, 12.7, 13.5, 14.6, 14.6, 14.6, 14.4, 14.2, 14, 
## 13.6, 13.2, 10.5, 7.7, 6.67, 4.55, 2.38, 1.37, 0.32, -2.79, -3.82, 
## -4.73, -6.63, -10.3, -12.4, -13.3, -15.1, -16, -16.8, -17.6, 
## -19.6, -22.4, -24.4, -24.6, -24.7, -24.5, -24.3, -23.9, -23.5, 
## -21.8, -21.1, -20.4, -19.5, -18.6, -17.6, -14.2, -12.9, -11.6, 
## -10.2, -7.37, -6.02, -3.3, -0.65, 0.65, 3.12, 5.53, 6.63, 8.32, 
## 8.88, 10.7, 11.2, 12.5, 11.4, 11.1, 9.53, 9, 8.4, 7.68, 5.31, 
## 3.61, 1.76, -1.35, -3.25, -7.6, -8.65, -9.64, -10.6, -12.5, -14.2, 
## -15, -16.8, -19.8, -20.4, -21.6, -22.9, -23.5, -23.6, -23.6, 
## -23.5, -23, -18.2, -17.3, -14.2, -13.1, -10.8, -9.62, -7.02, 
## -4.55, -2.25, 0.03, 1.16, 2.14, 3.08, 4.2, 6.74, 7.77, 8.75, 
## 12, 12.4, 13, 13.9, 13.8, 13.6, 13.5, 13.2, 12.9, 11.7, 11.1, 
## 10.3, 8.08, 5.83, 4.96, 2.33, 0.43, -0.58, -1.52, -2.51, -4.43, 
## -6.25, -8.58, -9.85, -11.1, -12.2, -13.3, -17.5, -18.2, -19.9, 
## -20.6, -22.5, -22.9, -23.3, -23.6, -23.8, -24, -24, -23.3, -22.9, 
## -22.1, -19.4, -18.6, -15.7, -14.7, -13.5, -7.16, -5.83, -4.58, 
## -0.84, 0.39, 1.55, 4.03, 6.86, 8.3, 9.52, 10.6, 12.4, 14.6, 15.2, 
## 15.8, 16.1, 16.6, 16.5, 16.4, 15.6, 15.2, 14.3, 13.8, 13.3, 12.2, 
## 10.7, 9.9, 9.08, 8.2, 1.42, 0.33, -0.63, -1.6, -2.52, -3.39, 
## -4.32, -5.23, -8.24, -9.06, -9.84, -11.2, -11.6, -12.7, -12.7, 
## -12.5, -12.2, -11.9, -11.1, -10.7, -8.38, -7.52, -6.62, -6.4, 
## -6.18, -5.46, -4.53, -4.28, -3.65, -3.33, -3.1, -2.99, -2.52, 
## 0.27, 0.32, 0.34, 0.36, 0.35, 0.36, 0.38, 0.4, 0.4, 0.5, 0.59, 
## 0.68, 0.72, 0.78, 0.9, 1.22, 1.29, 1.36, 1.44, 1.47, 1.13, 1.11, 
## 1.03, 1.01, 0.95, 0.99, 0.97, 0.98, 1.06, 1.1, 1.5, 1.39, 1.36, 
## 1.38, 1.35, 1.35, 1.35, 1.36, 1.42, 1.4, 1.46, 1.57, 1.61, 1.63, 
## 1.63, 1.6, 1.55, 1.54, 1.48, 1.47, 1.46, 1.45, 1.44, 1.43, 1.43, 
## 1.4, 1.38, 1.38, 1.25, 1.23, 1.22, 1.28, 1.28, 1.26, 1.25, 1.25, 
## 1.21, 1.26, 1.29, 1.35, 1.43, 1.5, 1.58, 1.56, 1.52, 1.46, 1.42, 
## 1.46, 1.47, 1.5, 1.54, 1.57, 1.58, 1.58, 1.59, 1.56, 1.53, 1.54, 
## 1.47, 1.48, 1.36, 1.34, 1.3, 1.27, 1.25, 1.18, 1.18, 1.19, 1.19, 
## 1.2, 1.21, 1.23, 1.25, 1.25, 1.25, 1.25, 1.25, 1.24, 1.27, 1.28, 
## 1.29, 1.27, 1.28, 1.26, 1.25, 1.35, 1.37, 1.36, 1.35, 1.32, 1.31, 
## 1.27, 1.23, 1.24, 1.25, 1.29, 1.58, 1.63, 1.69, 1.68, 1.66, 1.66, 
## 1.65, 1.64, 1.63, 1.63, 1.65, 1.64, 1.73, 1.62, 1.6, 1.59, 1.58, 
## 1.51, 1.45, 1.41, 1.36, 1.3, 1.22, 1.19, 1.14, 1.15, 1.14, 1.13, 
## 1.1, 1.11, 1.1, 1.05, 1.04, 1.01, 1.03, 1.14, 1.12, 1.08, 1.08, 
## 1.01, 0.99, 0.98, 1.02, 1.08, 1.37, 1.43, 1.42, 1.46, 1.46, 1.5, 
## 1.57, 1.58, 1.57, 1.61, 1.61, 1.58, 1.64, 1.63, 1.63, 1.58, 1.52, 
## 1.47, 1.44, 1.36, 1.24, 1.2, 1.17, 1.18, 1.19, 1.19, 1.18, 1.08, 
## 1.05, 1.02, 1.06, 1.05, 0.99, 0.93, 0.9, 0.88, 1.01, 1.13, 1.21, 
## 1.26, 1.24, 1.25, 1.27, 1.31, 1.35, 1.35, 1.41, 1.46, 1.48, 1.52, 
## 1.53, 1.51, 1.5, 1.49, 1.48, 1.48, 1.48, 1.45, 1.45, 1.42, 1.38, 
## 1.38, 1.35, 1.28, 1.15, 1.13, 1.16, 1.18, 1.21, 1.22, 1.22, 1.19, 
## 1.13, 1.14, 1.14, 1.22, 1.23, 1.27, 1.35, 1.49, 1.53, 1.48, 1.48, 
## 1.45, 1.39, 1.31, 1.23, 1.18, 1.14, 1.12, 1.09, 1.09, 1.12, 1.15, 
## 1.17, 1.22, 1.27, 1.29, 1.29, 1.28, 1.28, 1.31, 1.38, 1.42, 1.38, 
## 1.36, 1.35, 1.41, 1.47, 1.57, 1.6, 1.6, 1.64, 1.67, 1.7, 1.71, 
## 1.79, 1.78, 1.84, 1.83, 1.69, 1.7, 1.72, 1.67, 1.56, 1.53, 1.46, 
## 1.46, 1.41, 1.38, 1.36, 1.31, 1.21, 1.22, 1.21, 1.25, 0.95, 0.92, 
## 0.92, 0.97, 1, 1.01, 1.03, 1.07, 1.09, 1.08, 1.1, 1.12, 1.13, 
## 1.13, 1.13, 1.12, 1.06, 1.04, 1.07, 1.15, 1.26, 1.24, 1.24, 1.23, 
## 1.21, 1.18, 1.15, 0.95, 0.96, 0.96, 1.02, 1.04, 1.04, 1.05, 1.1, 
## 1.14, 1.16, 1.07, 1.03, 0.98, 0.96, 1, 1.07, 1.08, 1.09, 1.11, 
## 1.19, 1.25, 1.26, 1.21, 1.21, 1.23, 1.22, 1.21, 1.15, 1.13, 1.08, 
## 1, 0.97, 0.97, 0.96, 0.96, 0.93, 0.93, 0.97, 0.99, 0.99, 1, 0.99, 
## 0.98, 0.98, 0.95, 0.89, 0.86, 0.83, 0.89, 0.92, 0.95, 0.98, 1.07, 
## 1.12, 1.15, 1.12, 1.1, 1.08, 1.07, 1.07, 1.01, 0.89, 0.85, 0.72, 
## 0.69, 0.64, 0.63, 0.62, 0.7, 0.73, 0.79, 0.86, 0.82, 0.79, 0.78, 
## 0.76, 0.75, 0.77, 0.79, 0.81, 0.83, 0.88, 0.87, 0.87, 0.78, 0.76, 
## 0.6, 0.56, 0.54, 0.51, 0.51, 0.53, 0.58, 0.62, 0.63, 0.63, 0.63, 
## 0.64, 1.05, 1.04, 1.03, 1.04, 1.03, 0.95, 0.86, 0.83, 0.89, 0.91, 
## 0.96, 0.96, 0.98, 0.99, 1.04, 1.1, 1.14, 1.14, 1.16, 1.16, 1.18, 
## 1.2, 1.19, 1.18, 1.18, 1.16, 1.04, 1.03, 1, 0.88, 0.85, 0.85, 
## 0.86, 0.87, 0.93, 0.94, 0.96, 0.95, 0.92, 0.89, 0.77, 0.6, 0.55, 
## 0.49, 0.45, 0.42, 0.53, 0.57, 0.66, 0.69, 0.71, 0.81, 1.01, 1.1, 
## 1.19, 1.17, 1.2, 1.23, 1.23, 1.19, 1.17, 1.16, 1.14, 1.1, 0.94, 
## 0.91, 0.9, 0.9, 0.9, 0.98, 1.05, 1.19, 1.18, 1.15, 1.04, 0.95, 
## 0.9, 0.9, 0.9, 0.92, 0.9, 0.9, 0.94, 0.95, 0.99, 1, 1.02, 1.04, 
## 1.12, 1.14, 1.14, 1.14, 1.12, 1.04, 1.02, 0.92, 0.89, 0.86, 0.79, 
## 0.79, 0.79, 0.81, 0.84, 0.78, 0.85, 0.87, 0.83, 0.78, 0.74, 0.57, 
## 0.54, 0.53, 0.62, 0.61, 0.6, 0.63, 0.69, 0.74, 0.79, 0.83, 0.85, 
## 0.87, 0.93, 0.94, 0.98, 1.01, 1.05, 1.08, 1.12, 1.13, 1.07, 0.64, 
## 0.61, 0.63, 0.73, 0.77, 0.82, 0.84, 0.87, 0.91, 0.95, 0.98, 1, 
## 1.02, 0.97, 0.9, 0.87, 0.85, 0.83, 0.89, 1, 0.54, 0.55, 0.56, 
## 0.56, 0.56, 0.56, 0.53, 0.52, 0.49, 0.46, 0.43, 0.41, 0.4, 0.37, 
## 0.34, 0.27, 0.27, 0.3, 0.28, 0.23, 0.2, 0.2, 0.15, 0.02, 0, 0.03, 
## -0.01, -0.02, -0.03, -0.04, 0, 0.03, 0.02, -0.12, -0.1, -0.04, 
## -0.04, -0.04, -0.01, 0.07, 0.11, 0.19, 0.26, 0.35, 0.38, 0.42, 
## 0.43, 0.45, 0.43, 0.44, 0.43, 0.43, 0.47, 0.48, 0.48, 0.47, 0.46, 
## 0.48, 0.5, 0.51, 0.53, 0.55, 0.56, 0.57, 0.55, 0.53, 0.5, 0.51, 
## 0.57, 0.63, 0.66, 0.71, 0.74, 0.76, 0.78, 0.81, 0.89, 0.93, 0.95, 
## 1, 1.01, 1.03, 1.05, 1.01, 1.01, 0.93, 0.91, 0.88, 0.86, 0.81, 
## 0.69, 0.68, 0.62, 0.54, 0.5, 0.47, 0.45, 0.42, 0.32, 0.09, 0.03, 
## -0.05, -0.13, -0.19, -0.29, -0.33, -0.28, -0.28, -0.28, -0.26, 
## -0.18, -0.06, 0.03, 0.17, 0.34, 0.56, 1.02, 1.23, 1.75, 2, 2.36, 
## 2.09, 1.91, 1.74, 1.56, 1.39, 1.2, 1.01, 0.8, 0.6, -0.08, -0.19, 
## 0.77, 0.7, 0.52, 0.45, 0.34, 0.35, 0.42, 0.49, 0.52, 0.58, 0.51, 
## 0.5, 0.42, 0.45, 0.45, 0.46, 0.5, 0.51, 0.55, 0.57, 0.6, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 125, 125, 126, 127, 128, 128, 128, 128, 128, 128, 127, 127, 
## 127, 127, 126, 127, 127, 127, 127, 128, 128, 129, 129, 129, 124, 
## 124, 124, 123, 123, 122, 121, 119, 119, 119, 119, 120, 120, 120, 
## 121, 122, 128, 127, 126, 125, 125, 124, 124, 124, 124, 124, 124, 
## 123, 123, 123, 123, 123, 123, 123, 123, 123, 124, 124, 123, 123, 
## 123, 124, 125, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 126, 
## 126, 126, 126, 126, 126, 126, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 120, 120, 120, 120, 121, 121, 
## 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 118, 118, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
## 120, 120, 120, 120, 119, 119, 119, 119, 119, 118, 118, 118, 118, 
## 118, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 118, 118, 118, 118, 118, 118, 118, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 119, 119, 119, 
## 119, 119, 119, 118, 118, 118, 119, 119, 119, 119, 119, 119, 119, 
## 119, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 119, 119, 119, 119, 119, 119, 118, 119, 119, 119, 119, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 118, 118, 118, 118, 119, 119, 119, 119, 119, 119, 118, 118, 118, 
## 118, 118, 119, 119, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
## 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 
## 119, 119, 118, 118, 118, 118, 119, 119, 119, -0.26, -0.29, -0.29, 
## -0.25, -0.22, -0.1, -0.06, 0.12, 0.13, 0.17, 0.28, 0.37, 0.39, 
## 0.4, 0.38, 0.37, 0.35, 0.33, 0.35, 0.38, 0.38, 0.38, 0.38, 0.53, 
## 0.59, 1.02, 0.99, 1.08, 1.12, 1.12, 1.06, 1.01, 0.97, 0.94, 0.87, 
## 0.82, 0.76, 0.72, 0.7, 0.61, 0.53, 0.54, 0.55, 0.61, 0.58, 0.53, 
## 0.84, 0.87, 0.89, 0.89, 0.89, 0.93, 1.02, 1.13, 1.15, 1.12, 1.06, 
## 1.02, 1, 0.99, 0.98, 1.04, 1.05, 1.05, 1.05, 0.82, 0.88, 0.9, 
## 0.89, 0.88, 0.83, 0.8, 0.74, 0.7, 0.69, 0.76, 0.79, 0.84, 0.83, 
## 0.95, 1, 1.03, 1.1, 1.14, 1.15, 1.14, 1.12, 1.08, 1.06, 1.03, 
## 0.99, 0.95, 0.93, -9.38, -12.2, -13.2, -14.1, -21.4, -22.6, -23.6, 
## -24.1, -25, -24.8, -24.6, -24.3, -23.9, -22.7, -18.1, -16.8, 
## -14.1, -11.3, -6.76, 6.6, 7.81, 9.05, 14.7, 15.2, 15.2, 15.2, 
## 15.1, 14.9, 14, 13.6, 13.1, 12.6, 10.1, 8.09, 7.05, 5.95, 3.73, 
## 1.52, 0.45, -0.62, -2.76, -3.78, -4.74, -6.6, -7.56, -15.8, -17.6, 
## -19.4, -21.1, -21.9, -22.6, -23.2, -24.4, -24.9, -26.2, -26.4, 
## -26.6, -26.6, -26.4, -26.2, -25.9, -25.6, -25.1, -24.6, -22.4, 
## -21.5, -20.5, -17, -15.6, -12.6, -9.56, -8.05, -3.59, -2.11, 
## -0.57, 0.81, 6.86, 14.6, 14.7, 14.8, 14.1, 13.1, 12.5, 11.9, 
## 11.2, 10.5, 8.97, 7.47, 6.62, 4.78, 2.88, 2, 1.06, 0.13, -2.81, 
## -6.44, -7.41, -8.46, -11.4, -12.3, -14.1, -14.9, -21.6, -21.9, 
## -22.8, -22.9, -22.8, -22.5, -22.2, -21.9, -21, -20.4, -19.7, 
## -17.2, -12.4, -11.1, -9.78, -8.35, -4.11, -2.55, 3.18, 4.47, 
## 7.41, 10.4, 11.3, 12.1, 12.8, 13.4, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 120, 120, 120, 120, 120, 
## 119, 119, 119, 119, 119, 119, 119, 119, 122, 122, 121, 121, 121, 
## 121, 121, 121, 122, 122, 122, 122, 122, 123, 123, 123, 123, 123, 
## 123, 123, 123, 122, 122, 122, 122, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
## 121, 120, 120, 120, 1.24, 1.23, 1.22, 1.19, 1.16, 1.15, 1.08, 
## 1.04, 1.05, 1.04, 1.06, 1.07, 1.07, 1.03, 0.98, 0.88, 0.86, 0.84, 
## 0.82, 0.77, 0.77, 1.06, 1.12, 1.17, 1.21, 1.08, 1.06, 1.08, 1.22, 
## 1.29, 1.53, 1.55, 1.54, 1.58, 1.56, 1.56, 1.6, 1.63, 1.72, 1.76, 
## 1.83, 1.85, 1.82, 1.83, 1.75, 1.71, 1.67, 1.64, 1.59, 1.57, 1.58, 
## 1.56, 1.51, 1.49, 3.58, 3.56, 3.57, 3.31, 2.31, 2.41, 1.28, 0.48, 
## 0.49, -0.03, -1.42, -5.11, -10.8, -11.4, -12.2, -16.2, -17, -18.2, 
## -19.2, -20.3, -22.7, -24.7, -25.9, -26.4, -27, -27.9, -28.4, 
## -28.6, -28.8, -28.9, -28.6, -28.2, -27.8, -27.6, -27.4, -27.5, 
## -27.9, -28, -28, -28, -27.8, 0.75, 0.75, 0.76, 141, 140, 139, 
## 139, 137, 135, 133, 132, 132, 132, 132, 133, 133, 133, 133, 133, 
## 132, 132, 132, 132, 132, 133, 133, 137, 137, 139, 140, 141, 143, 
## 144, 149, 151, 153, 153, 154, 155, 156, 157, 157, 158, 159, 159, 
## 158, 158, 158, 158, 158, 157, 157, 157, 155, 152, 150, 149, 147, 
## 146, 146, 144, 144, 143, 141, 141, 140, 140, 139, 138, 137, 137, 
## 136, 135, 135, 134, 134, 134, 134, 134, 134, 134, 135, 135, 135, 
## 135, 136, 137, 137, 137, 138, 138, 138, 139, 140, 140, 140, 140, 
## 139, 139, 139, 139, 139, 138, 138, 138, 137, 137, 137, 137, 137, 
## 137, 137, 137, 137, 137, 138, 138, 138, 139, 139, 139, 139, 139, 
## 139, 139, 139, 138, 137, 136, 133, 132, 131, 131, 129, 126, 122, 
## 122, 122, 122, 122, 122, 122, 123, 123, 123, 123, 122, 122, 123, 
## 123, 123, 123, 123, 123, 1.12, 3.31, 3.78, 4.24, 5.12, 5.46, 
## 5.82, 6.15, 6.4, 6.65, 7.63, 7.65, 7.62, 7.45, 7.02, 6.93, 6.97, 
## 7.17, 7.11, 7.08, 6.61, 6.31, 6.03, 5.72, 5.22, 4.65, 4.04, 3.42, 
## 2.75, -0.81, -2.03, -3.11, -4.47, -6.39, -6.82, -7.19, -7.52, 
## -7.97, -8.2, -8.32, -8.44, -8.4, -8.34, -8.35, -8.3, -8.23, -8.09, 
## -7.78, -7.63, -7.46, -7.29, -7.12, -6.71, -6.17, -5.87, -5.5, 
## -4.56, -3.47, -2.86, -0.29, 0.37, 1.1, 4.65, 5.46, 6.19, 6.87, 
## 7.45, 8.98, 9.27, 9.54, 9.76, 9.97, 10.1, 10.3, 10.2, 10.1, 9.98, 
## 9.96, 9.94, 9.88, 9.91, 9.86, 9.89, 9.58, 9.38, 9.12, 8.43, 7.91, 
## 7.29, 6.11, 4.79, 2, 0.61, -0.68, -2.37, -3.79, -6.1, -6.8, -6.96, 
## -7.11, -7.25, -7.42, -7.49, -7.55, -7.66, -7.81, -7.85, -8.05, 
## -8.05, -8, -7.88, -7.82, -7.68, -7.55, -7.38, -7.19, -6.96, -6.34, 
## -5.89, -5.37, -4.75, -4.06, -0.66, 1.23, 3.07, 5.48, 5.96, 6.33, 
## 7, 7.53, 7.76, 7.87, 7.92, 7.98, 8.35, 8.04, 7.77, 7.73, 7.92, 
## 7.97, 7.92, 7.56, 7.33, 7.03, 6.64, 5.64, 3.94, 2.92, -0.78, 
## -1.31, -1.84, -2.35, -2.84, -3.44, -3.97, -4.51, -5.29, -5.95, 
## -6.47, -6.66, -6.81, -6.94, -6.89, -6.86, -6.71, -6.61, -6.31, 
## -5.98, -5.67, -5.49, 7.17, 6.85, 5.48, 4.59, 1.94, 0.3, -1.18, 
## -1.92, -2.32, -2.74, -3.22, -5.02, -5.94, -6.3, -6.88, -7.11, 
## -7.87, -7.89, -7.62, -7.31, -6.55, -5.52, -3.03, -1.02, 1.14, 
## 1.82, 2.5, 3.11, 8.37, 9.7, 9.68, 9.45, 8.96, 8.35, 8.2, 8.08, 
## 7.99, 7.84, 7.61, 7.39, 7.13, 6.42, 5.85, 4.08, 3.46, 2.9, 1.76, 
## 1.18, 0.59, -0.05, -0.65, -1.21, -1.69, -4.19, -6.05, -6.96, 
## -7.61, -7.67, -7.73, -7.36, -7.28, -7.18, -7.07, -6.79, -6.65, 
## -6.48, -5.81, -5.55, -5.23, -3.6, -1.3, -0.09, 0.5, 1.07, 2.74, 
## 3.24, 4.25, 5.17, 6.01, 6.4, 6.6, 7.17, 7.51, 7.54, 7.55, 7.58, 
## 7.65, 7.71, 7.76, -6.9, -6.82, -6.69, -6.56, -6.19, -5.93, -5.66, 
## -5.37, -5.03, -4.64, -4.22, -3.74, -1.2, 2.55, 3.16, 3.75, 4.34, 
## 5.05, 5.68, 6.33, 6.88, 7.36, 7.71, 8.5, 8.82, 9.12, 9.21, 9.35, 
## 9.43, 9.48, 9.55, 9.55, 9.57, 9.63, 9.65, 9.61, 9.46, 9.21, 8.73, 
## 6.87, 4.74, 3.31, 2.57, 1.83, 0.32, -0.41, -1.74, -3.13, -3.72, 
## -4.19, -4.7, -6.82, -9.43, -11, -11.4, -12, -12.4, -13.3, -13.1, 
## -12.9, -12.8, -11.9, -11.6, -11.3, -9.28, -7.12, -6.31, -4.68, 
## -3.85, -1.35, 0.38, 3.85, 6.31, 7.54, 8.06, 10.8, 11.6, 12.6, 
## 12.9, 12.9, 12.4, 12, 11.7, 11.3, 10.1, 9.35, 6.91, 6.05, 5.2, 
## 3.48, 1.16, -0.24, -0.92, -1.6, -2.2, -2.78, -3.62, -4.3, -5.18, 
## -5.57, -7.1, -7.29, -7.42, -7.52, -7.57, -7.42, -7.36, -7.24, 
## -6.71, -6.47, -6.18, -4.88, -4.06, -3.53, -3, -2.48, -1.96, -1.34, 
## -0.74, 1.14, 2.32, 2.86, 3.47, 4.69, 5.28, 5.91, 6.51, 7.1, 7.59, 
## 8.46, 9.26, 9.52, 9.92, 12.4, 12.5, 12.6, 12.5, 12.5, 12.4, 11.9, 
## 11.5, 11.1, 10.6, 10.1, 9.49, 8.83, 6.02, 4.51, 2.99, 0.96, -0.37, 
## -2.59, -3.09, -4.19, -5.29, -5.74, -6.12, -6.37, -6.63, -6.85, 
## -6.79, -6.73, -6.65, -6.21, -6.12, -6, -5.81, -5.63, -5.53, -5.46, 
## -5.2, -4.74, -4.55, -4.44, -3.57, -3.22, -3.1, -2.91, -2.82, 
## -2.71, -2.58, -2.24, -2.07, -2.01, -1.77, -1.56, -1.49, -1.33, 
## -1.18, -1.13, -0.98, -0.9, -0.84, -0.66, -0.56, -0.53, -0.41, 
## -0.35, -0.26, -0.12, -0.04, 0.03, 0.46, 0.52, 0.66, 0.72, 0.75, 
## 0.78, 0.81, 0.84, 0.84, 0.9, 0.89, 0.88, 0.94, 0.96, 0.99, 1.3, 
## 1.91, 2.18, 2.31, 2.34, 2.37, 2.42, 2.42, 2.43, 2.4, 2.38, 2.35, 
## 2.33, 2.3, 2.19, 2.18, 2.14, 2.09, 2.04, 1.86, 1.83, 1.76, 1.57, 
## 1.52, 1.48, 1.44, 1.27, 1.24, 1.13, 1, 0.94, 0.83, 118, 118, 
## 118, 120, 121, 122, 125, 126, 130, 133, 134, 135, 136, 136, 137, 
## 138, 138, 139, 139, 139, 140, 140, 140, 138, 137, 136, 133, 129, 
## 127, 127, 127, 126, 126, 126, 126, 126, 126, 126, 127, 130, 130, 
## 132, 133, 133, 134, 135, 139, 139, 139, 139, 138, 138, 138, 139, 
## 140, 139, 140, 140, 140, 140, 139, 139, 139, 138, 137, 137, 133, 
## 132, 131, 131, 129, 129, 128, 127, 127, 127, 128, 128, 128, 128, 
## 128, 128, 128, 128, 128, 129, 129, 130, 130, 131, 132, 133, 134, 
## 135, 138, 139, 139, 139, 139, 139, 138, 139, 140, 140, 141, 141, 
## 141, 139, 139, 137, 137, 136, 135, 133, 131, 130, 130, 129, 127, 
## 126, 125, 125, 124, 124, 125, 125, 126, 126, 126, 115, 115, 116, 
## 118, 119, 122, 125, 125, 126, 127, 129, 131, 133, 134, 136, 138, 
## 139, 140, 141, 143, 144, 145, 145, 146, 146, 147, 149, 150, 149, 
## 149, 149, 149, 146, 145, 142, 138, 138, 137, 135, 134, 133, 131, 
## 131, 130, 129, 128, 127, 127, 127, 127, 126, 126, 126, 126, 126, 
## 126, 126, 126, 127, 129, 130, 130, 133, 136, 137, 137, 139, 141, 
## 142, 146, 147, 148, 148, 149, 150, 153, 154, 155, 156, 156, 156, 
## 157, 158, 158, 158, 157, 156, 155, 155, 154, 154, 147, 145, 144, 
## 144, 143, 143, 142, 142, 140, 138, 138, 137, 136, 136, 135, 134, 
## 134, 133, 132, 132, 131, 131, 131, 131, 132, 133, 133, 134, 135, 
## 136, 138, 139, 140, 140, 141, 142, 143, 144, 144, 146, 147, 148, 
## 149, 150, 151, 152, 152, 153, 154, 154, 154, 154, 154, 154, 154, 
## 154, 153, 153, 153, 153, 152, 152, 150, 148, 148, 147, 146, 145, 
## 144, 144, 143, 142, 142, 141, 141, 140, 140, 139, 137, 136, 136, 
## 135, 135, 133, 133, 132, 132, 132, 131, 132, 132, 133, 133, 133, 
## 133, 133, 133, 134, 134, 135, 135, 136, 136, 137, 138, 138, 138, 
## 139, 139, 139, 140, 140, 142, 143, 144, 145, 146, 147, 149, 150, 
## 150, 152, 153, 155, 155, 156, 156, 156, 155, 155, 155, 154, 154, 
## 152, 152, 151, 149, 148, 148, 146, 144, 141, 140, 139, 138, 137, 
## 135, 133, 133, 129, 128, 126, 126, 125, 125, 125, 125, 125, 125, 
## 125, 126, 126, 127, 128, 129, 129, 130, 132, 132, 133, 134, 136, 
## 138, 139, 141, 142, 143, 144, 146, 146, 149, 150, 151, 155, 155, 
## 155, 155, 155, 155, 155, 155, 155, 155, 154, 154, 153, 153, 151, 
## 149, 148, 147, 146, 145, 144, 143, 142, 141, 140, 139, 137, 136, 
## 134, 133, 132, 128, 127, 126, 126, 126, 127, 128, 128, 128, 130, 
## 131, 131, 132, 134, 136, 136, 138, 139, 140, 142, 144, 144, 145, 
## 146, 148, 151, 152, 153, 153, 154, 155, 156, 156, 156, 157, 157, 
## 158, 158, 158, 157, 157, 157, 157, 156, 156, 156, 156, 155, 154, 
## 153, 152, 151, 151, 150, 148, 148, 147, 146, 144, 142, 141, 139, 
## 138, 137, 134, 134, 133, 131, 130, 129, 127, 126, 126, 126, 126, 
## 128, 129, 130, 131, 131, 132, 133, 136, 137, 138, 139, 141, 141, 
## 142, 142, 143, 144, 147, 147, 149, 150, 152, 154, 154, 155, 155, 
## 155, 155, 155, 155, 155, 155, 155, 154, 154, 153, 153, 151, 151, 
## 149, 149, 148, 147, 145, 144, 143, 142, 141, 137, 134, 133, 132, 
## 130, 128, 127, 127, 127, 127, 128, 128, 128, 129, 129, 130, 131, 
## 131, 132, 133, 133, 134, 135, 136, 137, 137, 138, 139, 156, 156, 
## 156, 155, 155, 154, 153, 153, 152, 151, 150, 150, 148, 146, 144, 
## 141, 140, 138, 135, 134, 134, 133, 132, 131, 131, 130, 130, 130, 
## 130, 131, 131, 131, 132, 132, 132, 133, 133, 135, 135, 137, 138, 
## 138, 139, 140, 142, 145, 146, 149, 151, 152, 153, 154, 155, 156, 
## 157, 157, 157, 157, 157, 156, 156, 155, 155, 154, 154, 153, 150, 
## 149, 146, 145, 145, 143, 143, 141, 140, 139, 138, 136, 135, 135, 
## 133, 133, 131, 132, 132, 133, 133, 133, 134, 135, 135, 138, 138, 
## 139, 140, 141, 142, 144, 147, 149, 149, 149, 150, 151, 151, 153, 
## 154, 154, 155, 155, 155, 156, 156, 156, 157, 157, 157, 158, 157, 
## 157, 156, 155, 154, 153, 152, 151, 150, 147, 145, 141, 140, 139, 
## 138, 135, 135, 130, 130, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 130, 130, 130, 130, 130, 130, 131, 131, 131, 131, 131, 132, 
## 132, 133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 
## 133, 133, 132, 132, 131, 131, 131, 132, 132, 132, 132, 133, 134, 
## 134, 134, 134, 134, 134, 134, 134, 133, 133, 133, 133, 133, 133, 
## 133, 132, 131, 131, 131, 131, 131, 130, 130, 130, 130, 130, 130, 
## 130, 130, 130, 130, 130, 130, 130, 130, 130, 129, 129, 130, 130, 
## 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 1.5, 1.52, 
## 1.57, 1.62, 1.66, 1.7, 1.72, 1.73, 1.75, 1.76, 1.74, 1.73, 1.77, 
## 1.79, 1.74, 1.66, 1.6, 1.5, 1.56, 1.59, 1.61, 1.78, 1.91, 1.97, 
## 2.02, 2.02, 2.05, 2, 1.47, 1.44, 1.44, 1.44, 1.46, 1.45, 1.43, 
## 1.45, 1.45, 1.46, 1.42, 1.39, 1.38, 1.34, 1.28, 1.25, 1.18, 1.14, 
## 1.1, 1.06, 1.06, 1.1, 1.14, 1.12, 1.1, 1.04, 1.03, 1.43, 1.61, 
## 1.63, 1.66, 1.72, 1.72, 1.52, 1.37, 1.36, 1.36, 1.34, 1.33, 1.29, 
## 1.35, 1.38, 1.44, 1.57, 1.66, 1.78, 1.88, 1.85, 1.84, 1.65, 1.48, 
## 1.44, 1.4, 1.39, 1.38, 1.53, 1.62, 1.63, 1.62, 1.65, 1.29, 1.17, 
## 1.13, 1.07, 0.85, 0.89, 0.95, 1.04, 1.07, 1.11, 1.13, 1.15, 1.15, 
## 1.16, 1.19, 1.3, 1.47, 1.5, 1.68, 1.68, 1.65, 1.57, 1.44, 1.4, 
## 1.22, 1.16, 1.13, 1.11, 1.08, 1.04, 0.98, 0.96, 0.97, 0.98, 1.04, 
## 1.11, 1.17, 1.44, 1.43, 1.41, 1.4, 1.28, 1.21, 1.09, 1, 0.85, 
## 0.71, 0.59, 0.52, 0.51, 0.54, 0.66, 0.91, 1.07, 1.27, 1.44, 1.51, 
## 1.82, 1.92, 2.12, 2.29, 2.15, 2.03, 1.97, 1.91, 1.83, 1.77, 1.7, 
## 1.68, 1.6, 1.47, 1.46, 1.42, 1.4, 1.27, 1.15, 1.29, 1.53, 1.61, 
## 1.64, 1.72, 1.67, 1.63, 1.55, 1.44, 1.34, 1.26, 0.73, 0.63, 0.57, 
## 0.53, 0.53, 0.69, 0.78, 0.87, 0.94, 1.03, 1.29, 1.35, 1.45, 1.49, 
## 1.73, 1.81, 1.86, 1.9, 1.93, 1.9, 1.85, 1.82, 1.79, 1.78, 1.73, 
## 1.71, 1.67, 1.61, 1.57, 1.42, 1.38, 1.35, 1.37, 1.44, 1.59, 1.58, 
## 1.55, 1.5, 1.26, 1.09, 0.89, 0.85, 0.85, 0.86, 0.87, 1.09, 1.14, 
## 1.18, 1.19, 1.2, 1.24, 1.25, 1.26, 1.4, 1.46, 1.55, 1.7, 1.7, 
## 1.7, 1.68, 1.57, 1.55, 1.38, 1.32, 1.16, 1.03, 1.04, 1.08, 1.11, 
## 1.17, 1.19, 1.24, 1.28, 1.31, 1.29, 1.16, 1.01, 0.94, 0.81, 0.75, 
## 0.64, 0.54, 0.64, 0.7, 0.79, 0.83, 0.87, 0.93, 0.95, 0.98, 1.21, 
## 1.28, 1.35, 1.43, 1.52, 1.68, 1.8, 1.75, 1.62, 1.58, 1.65, 1.73, 
## 1.83, 1.88, 1.96, 2, 2.03, 2.03, 1.98, 1.93, 1.78, 1.64, 1.52, 
## 1.36, 1.34, 1.25, 1.14, 1.09, 1.1, 1.16, 1.34, 1.37, 1.39, 1.42, 
## 1.53, 1.49, 1.43, 1.28, 1.21, 1.06, 1.01, 0.85, 0.65, 0.61, 0.58, 
## 0.56, 0.53, 0.57, 0.61, 0.77, 0.84, 0.92, 0.98, 1.03, 1.08, 1.15, 
## 1.29, 1.48, 1.58, 1.77, 1.93, 2, 2.06, 2.09, 2.13, 2.12, 2.08, 
## 2.06, 1.96, 1.76, 1.71, 1.68, 1.55, 1.25, 1.08, 0.89, 0.66, 0.61, 
## 0.59, 0.56, 0.6, 0.63, 0.7, 0.73, 0.77, 0.8, 0.84, 0.85, 0.86, 
## 0.93, 0.98, 0.99, 1, 1.02, 1.05, 1.15, 1.2, 1.26, 1.3, 1.34, 
## 1.42, 1.45, 1.44, 1.44, 1.47, 1.49, 1.5, 1.52, 1.53, 1.59, 1.59, 
## 1.59, 1.65, 1.67, 1.67, 1.66, 1.66, 1.65, 1.62, 1.61, 1.6, 1.6, 
## 1.57, 1.56, 1.52, 1.52, 1.49, 1.49, 1.49, 1.46, 1.43, 1.42, 1.43, 
## 1.43, 1.46, 1.43, 1.43, 1.4, 1.37, 1.35, 1.36, 1.35, 0.59, 0.45, 
## 0.55, 0.59, 0.34, 0.39, -1.26, -1.7, -2.42, -2.62, -0.45, 1.71, 
## 1.03, 1.16, 1.14, 1.28, 1.35, 1.88, 2.19, 2.52, 3.2, 3.6, 0.63, 
## 0.64, 0.75, 0.84, 0.85, 0.87, 0.92, 0.93, 0.94, 0.96, 0.93, 0.92, 
## 0.94, 0.97, 1.02, 1.09, 1.13, 1.16, 1.2, 1.18, 1.07, 1.03, 0.94, 
## 0.88, 0.83, 0.81, 0.77, 0.76, 0.77, 0.75, 0.74, 0.74, 0.92, 0.9, 
## 0.92, 0.95, 0.93, 0.82, 1.36, 1.25, 1.17, 0.93, 0.25, 0.51, 0.67, 
## 1.28, 1.72, 2.3, 2.64, 4.25, 4.84, 6.33, 6.56, 6.83, 6.81, 7.3, 
## 8.37, 8.62, 8.76, 7.69, 7.26, 6.77, 6.24, 5.48, 0.43, -4.88, 
## -5.42, -5.86, -7.06, -7.55, -7.55, -7.59, -7.61, -7.16, -6.41, 
## -5.85, -5.24, -4.57, -3.28, -1.02, -0.22, 0.57, 1.28, 4.12, 4.79, 
## 6.6, 7.43, 8.28, 9.57, 10, 10.5, 10.3, 10.3, 10.4, 10.5, 10.5, 
## 10.3, 10.1, 9.7, 9.27, 8.84, 8.35, 7.25, 3.37, -1.24, -2.42, 
## -4.29, -5.05, -5.67, -6.02, -6.32, -5.72, -5.58, -5.15, -5.06, 
## -4.69, -4.44, -4.14, -3.81, -3.41, -2.48, -0.4, 1.44, 2.12, 4.08, 
## 4.87, 6.99, 7.53, 8.72, 9, 8.94, 8.77, 8.68, 8.77, 8.99, 9.24, 
## 9.06, 8.1, 6.75, 5.25, 3.37, -0.04, -2.83, -3.55, -4.69, -5.11, 
## -5.74, -5.91, -5.59, -4.91, -4.66, -4.47, -4.24, -3.58, -3.17, 
## -2.75, -2.33, -1.95, -1.53, -0.7, 0.06, 1.62, 2.06, 3.31, 6.16, 
## 6.24, 8.2, 8.48, 8.77, 9.82, 9.75, 8.97, 7.83, 7.03, 5.97, 2.39, 
## 0.01, -1.08, -4.02, -4.64, -5.73, -5.57, -5.01, -4.16, -3.93, 
## -3.45, -3.31, -2.79, -2.54, -1.8, -1.38, -1.17, -0.91, -0.63, 
## 0.85, 5.55, 6.16, 7.1, 8.31, 8.98, 9.36, 9.99, 10.2, 10.2, 9.57, 
## 4.71, 2.35, -3.51, -4.36, -5.02, -5.57, -6.21, -6.21, -6.02, 
## -5.83, -5.2, -4.96, -4.75, -4.68, -4.43, -4.37, -4.27, -4.13, 
## -3.96, -3.79, -3.4, -3.13, -2.83, -2.54, -1.67, -1.38, -1.03, 
## -0.66, -0.34, -0.09, 0.93, 1.75, 3.82, 4.57, 5.82, 7.52, 7.64, 
## 7.77, 8.14, 9.03, 9.5, 9.79, 9.88, 9.84, 9.63, 9.41, 7.15, 1.53, 
## 0.35, -0.67, -2.45, -3.19, -3.9, -5.44, -5.91, -6.01, -5.98, 
## -5.39, -5.24, -5.03, -4.96, -4.88, -4.62, -4.43, -4.25, -3.4, 
## -3.06, -2.01, -1.22, 0.23, 0.75, 1.39, 1.62, 2.39, 2.73, 4.53, 
## 7.54, 8.14, 8.93, 9.07, 9.19, 9.23, 8.41, 7.91, 7.24, 5.7, 3, 
## 1.92, 0.03, -1.31, -1.87, -2.72, -4.45, -5.3, -5.25, -5.12, -5, 
## -4.69, -4.49, -4.32, -3.89, -3.83, -3.78, -3.77, -3.74, -3.53, 
## -3.37, -3.16, -2.71, -2.15, -0.91, -0.24, 0.6, 1.17, 2.89, 3.19, 
## 3.74, 4.39, 4.79, 5.18, 5.7, 5.82, 5.51, 5.13, 4.86, 3.69, 2.72, 
## 0.97, 0.43, -1.47, -3.67, -3.94, -4.25, -4.4, -4.46, -4.45, -4.39, 
## -4.26, -3.91, -3.15, -4.29, -4.48, -4.6, -4.55, -4.22, -4.15, 
## -3.81, -3.55, -3.44, -2.84, -2.74, -2.54, -2.54, -2.32, -0.95, 
## -0.95, -0.88, -0.76, -0.72, -0.68, -0.64, -0.6, -0.56, -0.51, 
## -0.47, -0.43, -0.42, -0.38, -0.37, -0.31, -0.27, -0.27, -0.29, 
## -0.3, -0.34, -0.33, -0.37, -0.38, -0.39, -0.41, -0.29, -0.14, 
## -0.1, -0.06, 0.23, 0.32, 0.34, 0.38, 0.37, 0.36, 0.35, 0.37, 
## 0.43, 0.46, 0.49, 0.53, 0.53, 0.48, 123, 123, 124, 124, 125, 
## 125, 126, 126, 128, 129, 131, 132, 133, 137, 139, 140, 141, 143, 
## 143, 144, 145, 145, 146, 146, 148, 149, 152, 155, 156, 157, 157, 
## 159, 159, 160, 160, 160, 159, 159, 158, 158, 157, 154, 153, 153, 
## 152, 152, 150, 149, 148, 147, 145, 144, 143, 142, 140, 139, 138, 
## 137, 136, 134, 134, 133, 133, 132, 132, 132, 131, 132, 132, 133, 
## 133, 133, 134, 134, 134, 134, 135, 136, 139, 140, 141, 142, 148, 
## 149, 150, 153, 154, 155, 155, 157, 158, 158, 160, 161, 161, 162, 
## 162, 162, 162, 162, 161, 161, 160, 160, 159, 157, 156, 156, 155, 
## 154, 152, 150, 147, 145, 143, 143, 142, 141, 140, 139, 139, 138, 
## 138, 138, 137, 136, 136, 136, 137, 139, 139, 139, 139, 139, 140, 
## 140, 140, 141, 142, 142, 144, 146, 147, 149, 149, 151, 152, 154, 
## 157, 157, 158, 159, 159, 160, 160, 160, 160, 161, 160, 160, 160, 
## 158, 158, 157, 157, 154, 152, 151, 149, 149, 148, 147, 146, 145, 
## 144, 144, 143, 141, 140, 139, 138, 137, 137, 137, 137, 136, 136, 
## 137, 137, 137, 137, 138, 139, 139, 140, 142, 142, 143, 144, 146, 
## 147, 147, 148, 148, 149, 150, 153, 154, 155, 156, 156, 156, 156, 
## 156, 156, 157, 158, 159, 160, 161, 161, 161, 160, 160, 158, 157, 
## 157, 155, 154, 154, 152, 151, 149, 147, 146, 145, 143, 142, 141, 
## 141, 149, 150, 152, 153, 154, 155, 157, 158, 159, 159, 159, 159, 
## 159, 159, 157, 157, 157, 157, 156, 156, 156, 155, 155, 155, 154, 
## 154, 153, 153, 149, 144, 143, 142, 139, 137, 136, 136, 134, 134, 
## 134, 134, 134, 135, 136, 136, 138, 139, 140, 141, 141, 143, 143, 
## 144, 145, 146, 146, 147, 147, 148, 153, 155, 158, 159, 159, 159, 
## 159, 159, 159, 159, 158, 158, 158, 157, 157, 156, 156, 156, 155, 
## 155, 155, 155, 153, 152, 151, 150, 148, 147, 146, 139, 140, 140, 
## 141, 142, 145, 149, 149, 150, 151, 152, 152, 155, 155, 156, 157, 
## 157, 157, 158, 159, 159, 158, 158, 158, 157, 156, 155, 155, 153, 
## 151, 150, 149, 148, 147, 146, 145, 141, 141, 140, 139, 138, 138, 
## 136, 136, 136, 136, 136, 136, 136, 136, 137, 138, 139, 139, 139, 
## 139, 140, 141, 142, 143, 145, 148, 149, 150, 152, 152, 155, 156, 
## 156, 157, 158, 159, 159, 160, 160, 160, 160, 161, 161, 161, 160, 
## 160, 158, 158, 157, 155, 155, 154, 153, 153, 152, 151, 150, 149, 
## 148, 135, 135, 135, 136, 136, 136, 138, 138, 140, 141, 142, 147, 
## 150, 150, 155, 156, 156, 157, 157, 157, 157, 157, 147, 146, 143, 
## 143, 142, 141, 140, 140, 139, 138, 137, 137, 137, 135, 134, 134, 
## 134, 135, 141, 140, 139, 139, 137, 135, 135, 134, 133, 133, 132, 
## 131, 131, 132, 132, 133, 133, 134, 134, 134, 135, 135, 135, 136, 
## 136, 138, 139, 140, 140, 139, 139, 138, 138, 138, 138, 138, 138, 
## 140, 140, 140, 140, 140, 141, 142, 142, 143, 145, 140, 138, 138, 
## 137, 135, 134, 133, 133, 133, 132, 131, 131, 131, 130, 130, 130, 
## 130, 130, 129, 129, 130, 131, 134, 136, 139, 140, 141, 142, 142, 
## 142, 143, 143, 144, 144, 134, 138, 138, 141, 142, 143, 144, 144, 
## 145, 145, 145, 146, 146, 145, 145, 145, 145, 144, 144, 144, 143, 
## 141, 141, 140, 139, 137, 137, 136, 133, 132, 132, 132, 131, 131, 
## 131, 131, 131, 131, 131, 131, 132, 132, 132, 132, 132, 133, 133, 
## 135, 135, 138, 139, 140, 141, 142, 143, 144, 144, 145, 145, 146, 
## 145, 145, 145, 145, 144, 143, 143, 142, 141, 141, 140, 140, 139, 
## 137, 136, 135, 132, 132, 131, 130, 130, 129, 129, 129, 129, 129, 
## 129, 129, 129, 130, 132, 132, 134, 136, 143, 144, 144, 145, 145, 
## 146, 146, 129, 130, 131, 132, 133, 136, 138, 139, 140, 141, 141, 
## 142, 143, 143, 143, 143, 143, 144, 145, 145, 145, 146, 132, 133, 
## 133, 133, 134, 134, 135, 135, 137, 138, 140, 142, 142, 143, 143, 
## 143, 143, 143, 143, 144, 145, 145, 146, 146, 147, 147, 147, 147, 
## 148, 144, 144, 143, 141, 141, 140, 140, 135, 133, 133, 133, 132, 
## 132, 132, 132, 132, 133, 139, 139, 139, 139, 139, 138, 138, 138, 
## 138, 138, 138, 138, 138, 138, 137, 137, 137, 137, 136, 135, 135, 
## 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 
## 135, 135, 135, 135, 135, 135, 0.44, 0.41, 0.4, 0.35, 0.3, 0.24, 
## 0.22, 0.24, 0.27, 0.29, 0.31, 0.31, 0.29, 0.28, 0.28, 0.3, 0.27, 
## 0.31, 0.32, 0.33, 0.36, 0.43, 0.46, 0.49, 0.55, 0.57, 0.6, 0.61, 
## 0.59, 0.58, 0.56, 0.64, 0.64, 0.66, 0.67, 0.68, 0.66, 0.64, 0.64, 
## 0.73, 0.76, 0.78, 0.79, 0.71, 0.65, 0.6, 0.58, 0.56, 0.57, 0.63, 
## 140, 140, 141, 142, 147, 151, 152, 153, 155, 155, 156, 157, 157, 
## 157, 158, 158, 158, 158, 157, 157, 157, -2.09, -2.05, -1.96, 
## -1.94, -1.94, -1.97, -1.95, -1.88, -1.85, -1.83, -1.78, -1.77, 
## -1.76, -1.75, -1.71, -1.66, -1.37, -1.31, -1.12, -1.06, -1.04, 
## -0.99, -0.98, -0.96, -0.95, -3.16, -2.97, -2.72, -2.42, -2.1, 
## -1.76, -1.42, -0.84, 1.49, 4.23, 5.28, 5.6, 5.89, 6.44, 6.72, 
## 7.01, 7.21, 7.28, 7.28, 7.2, 7.11, 6.46, 6.09, 5.61, 3.9, 3.23, 
## -3.61, -3.28, -2.13, 0.39, 0.91, 1.44, 3.15, 4.3, 4.69, 5.38, 
## 5.37, 5.37, 5.29, 5.15, 5.19, 5.27, 5.4, 5.52, 5.57, 5.49, 4.2, 
## 2.43, 1.09, -0.96, -2.48, -2.95, 0.77, 0.7, 0.63, 0.6, 0.56, 
## 0.45, 0.42, 0.4, 0.38, 0.34, 0.33, 0.32, 0.32, 0.32, 0.3, 0.27, 
## 0.2, 0.21, 0.26, 0.33, 0.35, 0.39, 0.52, 0.7, 0.81, 0.99, 1.08, 
## 1.18, 1.27, 1.33, 1.33, 1.37, 1.37, 1.35, 1.34, 1.35, 1.36, 1.35, 
## 1.35, 1.46, 1.57, 1.58, 1.69, 1.62, 1.26, 1.13, 1.1, 1.26, 2.01, 
## 1.92, 1.73, 1.52, 1.44, 1.46, 1.49, 1.39, 1.37, 1.36, 1.06, 0.76, 
## 0.71, 0.61, 0.58, 0.57, 0.58, 0.66, 0.82, 0.88, 1, 1.05, 1.13, 
## 1.18, 1.24, 1.32, 1.4, 1.71, 1.84, 1.88, 1.92, 1.92, 1.94, 1.94, 
## 1.92, 1.9, 1.89, 1.87, 1.73, 1.68, 1.6, 1.55, 1.47, 1.44, 1.37, 
## 1.34, 1.18, 1.11, 1.09, 1.12, 1.23, 1.38, 1.38, 134, 134, 134, 
## 137, 138, 139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 
## 139, 139, 139, 139, 139, 139, 139, 138, 138, 138, 138, 139, 139, 
## 139, 146, 145, 144, 144, 143, 143, 142, 141, 140, 140, 139, 139, 
## 138, 135, 134, 134, 134, 134, 134, 133, 133, 133, 133, 146, 146, 
## 146, 146, 145, 145, 143, 142, 141, 140, 140, 139, 138, 130, 128, 
## 128, 126, 125, 125, 126, 127, 128, 144, 144, 143, 143, 143, 142, 
## 142, 141, 140, 140, 138, 136, 135, 135, 134, 133, 132, 132, 131, 
## 131, 131, 131, 131, 131, 131, 131, 127, 127, 130, 131, 132, 133, 
## 135, 136, 137, 138, 139, 140, 141, 141, 142, 142, 142, 143, 143, 
## 143, 143, 143, 142, 142, 7.64, 8.67, 10.2, 10.5, 10.7, 10.7, 
## 10.7, 10.7, 10.6, 10.2, 8.47, 7.84, 4.08, 0.41, -0.8, -1.32, 
## -1.82, -2.56, -2.75, -3.26, -3.76, -5.48, -5.93, -6.26, -5.99, 
## -6.46, -6.93, -7.81, -8.19, -8.6, -8.56, -8.5, -8.52, -8.45, 
## -8.01, -7.81, -7.6, -6.8, -6.47, -6.08, -5.61, -3.94, -2.69, 
## -0.52, 0.1, 2.75, 3.6, 4.02, 4.42, 4.82, 6.76, 7.57, 6.11, 5.16, 
## 4.21, 1.26, 0.41, 0, -1.14, -1.55, -1.93, -2.36, -3.1, -3.53, 
## -3.99, -5.52, -5.88, -6.78, -7.09, -7.06, -7.08, -7.01, -5.1, 
## -4.48, -4.27, -4.05, -3.52, -3.18, -2.84, -2.44, -1.12, -0.02, 
## 3.92, 4.47, 5.04, 6.1, 6.52, 7.26, 7.86, 8.11, 8.33, 8.51, 8.84, 
## 9.05, 8.95, 8.84, 8.58, 8.16, 8, 7.85, 7.69, 125, 126, 128, 129, 
## 129, 127, 127, 126, 125, 125, 125, 124, 157, 156, 156, 156, 155, 
## 154, 154, 151, 148, 147, 145, 145, 143, 143), pitch_belt = c(8.07, 
## 8.07, 8.07, 8.05, 8.07, 8.06, 8.09, 8.13, 8.16, 8.17, 8.18, 8.18, 
## 8.2, 8.21, 8.2, 8.15, 8.12, 8.08, 8.06, 8.07, 8.1, 8.09, 8.1, 
## 8.1, 8.11, 8.09, 8.11, 8.14, 8.16, 8.17, 8.17, 8.19, 8.17, 8.18, 
## 8.18, 8.12, 8.11, 8.04, 8.04, 8.05, 8.06, 8.05, 8.05, 8, 7.85, 
## 7.81, 7.76, 7.69, 7.69, 7.68, 7.58, 7.56, 7.54, 7.46, 7.47, 7.46, 
## 7.45, 7.43, 7.43, 7.41, 7.41, 7.4, 7.35, 7.35, 7.33, 7.31, 7.32, 
## 7.28, 7.27, 7.29, 7.29, 7.27, 7.26, 7.25, 7.25, 7.26, 7.28, 7.28, 
## 7.31, 7.3, 7.3, 7.32, 7.31, 7.34, 7.41, 7.44, 7.45, 7.46, 7.47, 
## 7.48, 7.49, 7.5, 7.5, 7.51, 7.52, 7.54, 7.53, 7.45, 7.43, 7.42, 
## 7.42, 7.43, 7.41, 7.4, 7.4, 7.42, 7.44, 7.44, 7.43, 7.43, 7.42, 
## 7.43, 7.44, 7.4, 7.39, 7.35, 7.34, 7.33, 7.28, 7.23, 7.2, 7.15, 
## 7.13, 7.18, 7.16, 7.17, 7.19, 7.21, 7.23, 7.44, 7.6, 7.64, 7.74, 
## 7.81, 7.82, 7.73, 7.54, 7.44, 7.28, 7.26, 7.22, 7.15, 7.13, 7.08, 
## 7.04, 7.03, 7.04, 6.98, 6.97, 6.96, 6.98, 7.03, 7.06, 7.08, 7.08, 
## 7.09, 7.08, 7.07, 7.09, 7.23, 7.26, 7.3, 7.34, 7.37, 7.38, 28.7, 
## 28.7, 28.9, 28.9, 28.9, 28.9, 28.8, 28.8, 28.8, 28.6, 28.5, 28.5, 
## 28.5, 28.7, 28.8, 28.8, 28.8, 28.6, 28.6, 28.5, 28.5, 28.4, 28.2, 
## 28.2, 28.1, 28.1, 28.1, 28.1, 28.1, 28.1, 28, 28, 28, 28, 28, 
## 28, 28, 28, 27.9, 27.9, 27.9, 27.9, 27.9, 27.9, 27.9, 27.9, 27.9, 
## 28, 27.9, 27.9, 28, 28, 28, 28, 27.9, 27.9, 27.8, 27.8, 27.8, 
## 27.9, 27.9, 27.9, 27.9, 27.9, 27.9, 27.9, 27.9, 27.8, 27.8, 27.8, 
## 27.8, 27.8, 27.8, 27.8, 27.9, 27.8, 27.8, 27.8, 27.8, 27.8, 27.8, 
## 27.8, 27.9, 27.9, 27.9, 27.9, 27.9, 28, 28, 27.9, 27.8, 27.6, 
## 27.5, 27.4, 27.3, 27.3, 27.3, 27.3, 27.3, 27.4, 27.4, 27.4, 27.5, 
## 27.6, 27.7, 27.7, 27.8, 27.8, 27.9, 27.9, 28, 28, 28, 28, 28.1, 
## 28.1, 28, 28, 28, 27.8, 27.8, 27.7, 27.7, 27.7, 27.8, 27.8, 27.8, 
## 27.8, 27.7, 27.6, 27.5, 27.5, 27.3, 27.2, 27, 27, 27, 27, 27.1, 
## 27.4, 27.4, 27.5, 27.5, 27.5, 27.6, 27.7, 27.7, 27.6, 27.6, 27.6, 
## 27.5, 27.4, 27.3, 27, 26.8, 26.7, 26.7, 26.6, 26.7, 26.7, 26.7, 
## 26.7, 26.7, 26.7, 26.6, 26.5, 26.5, 26.5, 26.4, 26.4, 26.4, 26.4, 
## 26.4, 26.3, 26.3, 26.2, 26.1, 26.2, 26.2, 26.2, 26.2, 26.2, 26.2, 
## 26.2, 26.1, 26.1, 26.1, 25.9, 25.9, 25.8, 25.8, 25.8, 25.8, 25.8, 
## 25.8, 25.9, 26.1, 26.1, 26.2, 26.3, 26.3, 26.3, 26.4, 26.4, 26.5, 
## 26.6, 26.6, 26.6, 26.7, 26.7, 26.6, 26.6, 26.5, 26.1, 25.9, 25.9, 
## 25.9, 25.9, 25.9, 25.8, 25.7, 25.7, 25.6, 25.5, 25.5, 25.4, 25.4, 
## 25.4, 25.4, 25.5, 25.5, 25.6, 25.6, 25.8, 25.9, 26, 26.1, 26.1, 
## 26.2, 26.2, 26.3, 26.3, 26.4, 26.1, 26, 25.9, 25.7, 25.7, 25.6, 
## 25.6, 25.6, 25.6, 25.6, 25.6, 25.5, 25.5, 25.5, 25.5, 25.6, 25.6, 
## 25.9, 25.9, 26, 26, 26, 26, 26, 26, 25.9, 25.9, 25.9, 25.9, 26, 
## 26, 26, 26, 26.1, 26.2, 26.2, 26.2, 26.2, 26.3, 26.3, 26.3, 26.3, 
## 26.4, 26.4, 26.4, 26.3, 26.2, 26.1, 25.8, 25.7, 25.7, 25.6, 25.6, 
## 25.5, 25.5, 25.5, 25.7, 25.9, 26.2, 26.7, 26.7, 26.8, 26.8, 26.8, 
## 26.7, 26.6, 26.3, 26.3, 26.3, 26.3, 26.3, 26.3, 26.2, 26.2, 26.3, 
## 26.3, 26.3, 26.4, 26.4, 26.3, 26.3, 26.2, 26.1, 26.1, 26.1, 26.1, 
## 26.1, 26.1, 26.1, 26.1, 26.2, 26.1, 26.1, 26.2, 26.1, 26.1, 26.1, 
## 26, 26, 25.9, 25.9, 25.9, 25.9, 26, 26.1, 26.1, 26.3, 26.5, 26.5, 
## 26.7, 26.7, 26.7, 26.7, 26.6, 26.6, 26.4, 26.2, 26.2, 26.1, 26.1, 
## 26.1, 26.1, 26.1, 26, 26, 25.9, 25.9, 25.9, 25.8, 25.8, 25.8, 
## 25.7, 25.5, 25.5, 25.5, 25.5, 25.7, 25.8, 25.8, 25.9, 26, 26, 
## 26.1, 26.1, 26.2, 26.2, 26.2, 26.2, 26.2, 26.2, 26.1, 26, 25.9, 
## 25.7, 25.7, 25.7, 25.8, 25.9, 26, 26, 26, 26.1, 26.1, 26.1, 26, 
## 26, 25.9, 25.9, 25.9, 25.9, 25.9, 25.9, 25.9, 26, 26.1, 26.1, 
## 26, 26, 26, 25.9, 25.9, 25.8, 25.8, 25.8, 25.5, 25.5, 25.5, 25.6, 
## 25.6, 25.7, 26.3, 26.3, 26.2, 26.2, 25.9, 25.9, 25.9, 25.9, 25.9, 
## 25.9, 25.9, 25.9, 26, 26, 26, 26.1, 26.1, 26, 25.9, 25.9, 25.9, 
## 25.9, 25.9, 25.9, 25.8, 25.8, 25.8, 25.8, 25.8, 26.1, 26.2, 26.2, 
## 26.2, 26.2, 26.2, 26.1, 26, 26, 26, 25.9, 25.9, 26, 26, 26, 26, 
## 26, 26.1, 26.1, 26, 26, 25.8, 25.7, 25.7, 25.7, 25.7, 25.7, 25.7, 
## 25.8, 25.9, 26.4, 26.5, 26.4, 26.5, 26.4, 26.4, 26.2, 26.2, 26.2, 
## 26.1, 26.2, 26.3, 26.3, 26.3, 26.3, 26.4, 26.4, 26.4, 26.4, 26.4, 
## 26.4, 26.4, 26.5, 26.5, 26.4, 26.5, 26.5, 26.5, 26.4, 26.4, 26.4, 
## 26.4, 26.4, 26.4, 26.4, 26.4, -44.9, -44.9, -44.9, -44.9, -44.9, 
## -44.8, -44.9, -44.9, -45, -44.8, -44.6, -44.6, -44.5, -44.3, 
## -44.2, -44.2, -44, -43.8, -43.7, -43.7, -43.7, -43.7, -43.7, 
## -43.8, -43.8, -43.8, -43.8, -43.7, -43.7, -43.6, -43.6, -43.5, 
## -43.5, -43.4, -43.2, -43.1, -43, -42.9, -42.7, -42.6, -42.5, 
## -42.3, -42.2, -41.5, -41.1, -41, -40.9, -40.5, -40.5, -40.4, 
## -40.3, -40.3, -40.3, -40.3, -40.3, -40.2, -40.2, -40.2, -40.2, 
## -40.2, -40.2, -40.2, -40.2, -40.2, -40.1, -40.1, -40, -40, -39.9, 
## -39.8, -39.7, -39.7, -39.6, -39.6, -39.6, -39.6, -39.6, -39.6, 
## -39.6, -39.6, -39.6, -39.6, -39.7, -39.7, -39.7, -39.8, -39.8, 
## -39.8, -39.8, -39.9, -39.8, -39.8, -39.8, -39.9, -39.9, -39.9, 
## -39.9, -40, -40, -40, -40, -40, -40, -40.1, -40.1, -40.1, -40.1, 
## -40.1, -40.1, -40.1, -40.1, -40.2, -40.2, -40.2, -40.3, -40.3, 
## -40.3, -40.4, -40.4, -40.4, -40.4, -40.5, -40.5, -40.4, -40.4, 
## -40.4, -40.3, -40.3, -40.3, -40.3, -40.3, -40.4, -40.4, -40.4, 
## -40.4, -40.4, -40.4, -40.4, -40.4, -40.4, -40.4, -40.4, -40.4, 
## -40.5, -40.4, -40.4, -40.4, -40.4, -40.3, -40.3, -40.3, -40.2, 
## -40.2, -40.1, -40, -39.9, -39.9, -39.8, -39.8, -39.7, -39.7, 
## -39.7, -39.7, -39.7, -39.7, -39.7, -39.6, -39.6, -39.8, -40, 
## -40, -40.1, -40.1, -40.1, -40, -40, -39.9, -39.8, -39.6, -39.5, 
## -39.5, -39.4, -39.4, -39.4, -39.4, -39.4, -39.5, -39.5, -39.5, 
## -39.5, -39.5, -39.5, -39.6, -39.6, -39.3, -39.3, -39.3, -39.5, 
## -39.5, -39.6, -39.8, -39.8, -39.8, -39.8, -39.8, -39.8, -39.8, 
## -39.8, 17.3, 17.3, 17.3, 17.3, 17.3, 17.3, 17.6, 17.7, 17.8, 
## 17.8, 17.8, 17.9, 17.9, 17.9, 17.9, 17.9, 17.9, 17.8, 17.8, 17.7, 
## 17.7, 17.7, 17.7, 17.6, -39.8, -39.8, -39.8, -39.7, -39.7, -39.8, 
## -39.7, -39.7, -39.7, -39.7, -39.7, -39.7, -39.8, -39.8, -39.8, 
## -39.8, -39.8, -39.8, -40.1, -41, -42.3, -42.5, -42.8, -42.6, 
## -42.5, -42.4, -42.3, -42.1, -41.6, -41.2, -40.8, -40.3, -40.3, 
## -40.7, -40.8, -40.9, -41.2, -41.2, -41.2, -41.3, -41.3, -41.3, 
## -41.3, -41.3, -44.1, -44.2, -44.2, -44.2, -44.2, -44.2, -44.2, 
## -44.2, -44.2, -44.2, -44.3, -44.5, -44.6, -45, -44.9, -44.9, 
## -44.8, -44.8, -41.3, -41.3, -41.3, -41.3, -41.3, -41.3, -41.2, 
## -41.1, -41, -40.8, -40.7, -40.7, -40.6, -40.4, -40.4, -40.3, 
## -40, -39.7, -39.7, -39.6, -39.4, -39.4, -39.4, -39.4, -39.5, 
## -39.6, -39.7, -39.8, -39.9, -40, -40.1, -40.3, -40.6, -40.6, 
## -40.8, -40.9, -41.1, -41.5, -42, -42.2, -42.3, -42.4, -42.5, 
## -43.2, -43.7, -44.5, -44.5, -44.5, -44.5, -44.5, -44.5, -44.4, 
## -44.4, -44.3, -44.3, -44.2, -44.1, -44, -43.9, -43.7, -43.5, 
## -43.3, -43.1, -42.8, -42.6, -42.4, -42.1, -42, -41.5, -41, -40.9, 
## -40.7, -40.6, -40.3, -40.3, -40.5, -41, -41.4, -42.3, -42.5, 
## -42.8, -43.3, -43.4, -43.2, -43.1, -42.9, -42.7, -42.5, -42.3, 
## -41.9, -41.6, -41.5, -41.3, -41.2, -40.7, -40.6, -40.4, -40.3, 
## -40.3, -40.2, -40.2, -40.2, -40.2, -40.4, -40.4, -40.5, -40.5, 
## -40.5, -40.5, -40.5, -40.5, -40.5, -40.7, -40.8, -40.8, -40.9, 
## -40.9, -40.9, -40.9, -40.9, -40.9, -40.9, -41, -41, -41.1, -41.2, 
## -41.3, -41.4, -41.5, -41.5, -41.6, -41.6, -41.6, -41.5, -41.5, 
## -41.5, -41.3, -41.3, -41.4, -41.4, -41.5, -41.5, -41.6, -41.7, 
## -41.7, -41.9, -42, -42.1, -42.1, -42.3, -42.3, -42.3, -42.3, 
## -42.2, -42.2, -42.7, -42.7, -42.6, -42.6, -42.6, -42.6, -42.6, 
## -42.6, -42.7, -42.7, -42.7, -42.7, -42.7, -42.7, -42.7, -42.7, 
## -42.7, -42.7, -42.7, -42.7, -42.7, -42.7, -42.8, -42.8, -42.8, 
## -42.8, -42.8, -42.8, -42.8, -42.8, -42.7, -42.7, -42.8, -42.9, 
## -42.9, -42.9, -43, -43.1, -43.1, -43.1, -43, -42.9, -42.9, -42.8, 
## -42.7, -42.8, -42.8, -42.8, -42.8, -42.9, -42.9, -42.9, -43, 
## -43, -43, -43, -43, -43, -43, -43, -43.1, -43.1, -43.1, -43.1, 
## -43.1, -43, -43, -43, -43, -43.1, -43.1, -43.1, -43.2, -43.2, 
## -43.3, -43.3, -43.3, -43.3, -43.3, -43.2, -43.2, -43.2, -43.3, 
## -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.3, -43.3, -43.4, 
## -43.4, -43.4, -43.6, -43.7, -43.7, -43.8, -43.8, -43.9, -43.8, 
## -43.8, -43.8, -43.8, -43.7, -43.7, -43.7, -43.6, -43.6, -43.5, 
## -43.5, -43.5, -43.4, -43.4, -43.4, -43.5, -43.5, -43.5, -43.6, 
## -43.6, -43.6, -43.6, -43.6, -43.6, -43.6, -43.6, -43.6, -43.6, 
## -43.6, -43.6, -43.6, -43.7, -43.7, -43.8, -43.5, -43.6, -43.6, 
## -43.5, -43.5, -43.5, -43.5, -43.6, -43.6, -43.6, -43.7, -43.8, 
## -43.8, -43.9, -43.9, -43.9, -43.8, -43.8, -43.7, -43.7, -43.7, 
## -43.7, -43.6, -43.6, -43.6, -43.5, -43.5, -43.6, -43.7, -43.7, 
## -43.7, -43.8, -43.8, -43.8, -43.8, -43.7, -43.8, -43.8, -43.8, 
## -43.8, -43.9, -44, -44, -44, -44, -44, -44, -43.9, -43.9, -43.8, 
## -43.8, -43.7, -43.7, -43.8, -43.8, -43.8, -43.8, -43.8, -43.7, 
## -43.7, -43.6, -43.6, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, 
## -43.7, -43.8, -43.8, -43.8, -43.7, -43.7, -43.8, -43.8, -44, 
## -44, -44.1, -44.2, -44.2, -44.2, -44.2, -44.2, -44.2, -44.1, 
## -44, -43.9, -43.9, -43.8, -43.7, -43.7, -43.7, -43.7, -43.7, 
## -43.7, -43.7, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, 
## -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, 
## -43.8, -43.8, -43.9, -43.9, -43.9, -43.9, -43.9, -44, -43.9, 
## -43.8, -43.8, -43.8, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, 
## -43.7, -43.7, -43.7, -43.7, -43.8, -43.7, -43.7, -43.7, -43.7, 
## -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.8, 
## -43.8, -43.9, -43.9, -44, -44, -44.1, -44.1, -44.1, -44, -44, 
## -44, -43.9, -43.9, -43.9, -43.9, -43.9, -43.9, -43.8, -43.8, 
## -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.9, -43.9, -43.9, 
## -43.9, -43.9, -43.9, -43.9, -43.9, -43.9, -43.9, -43.9, -43.9, 
## -43.9, -43.9, -43.9, -43.9, -43.9, -43.9, -43.9, -43.9, -44, 
## -44, -44, -44, -44, -44, -44, -43.9, -43.9, -43.9, -43.9, -43.8, 
## -43.9, -43.9, -43.9, -43.9, -43.9, -43.9, -43.9, -44, -43.9, 
## -43.9, -43.8, -43.8, -43.8, -43.8, -43.8, -43.5, -43.6, -43.6, 
## -43.7, -43.7, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, 
## -43.8, -43.8, -43.8, -43.8, -43.9, -43.9, -43.9, -44.1, -44.1, 
## -44, -44, -44, -44, -43.9, -43.9, -43.8, -43.8, -43.8, -43.9, 
## -43.9, -43.9, -44, -44, -43.9, -43.9, -43.9, -43.9, -43.9, -43.8, 
## -43.8, -43.9, -43.9, -43.9, -43.9, -43.9, -43.8, -43.8, -43.8, 
## -43.8, -43.8, -43.9, -43.9, -43.9, -44, -44, -44, -43.9, -43.9, 
## -44, -44, -44, -44, -43.9, -43.8, -43.8, -43.7, -43.7, -43.5, 
## -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, -43.6, -43.6, 
## -43.7, -43.7, -43.6, -43.6, -43.6, -43.6, -43.6, -43.7, -43.7, 
## -43.7, -43.8, -43.8, -43.8, -44, -44, -44.1, -44.1, -44.1, -44, 
## -43.9, -43.9, -43.8, -43.8, -43.7, -43.6, -43.6, -43.5, -43.5, 
## -43.5, -43.4, -43.4, -43.3, -43.2, -43.2, -43.2, -43.2, -43.2, 
## -43.2, -43.2, -43.2, -43.2, -43.3, -43.3, -43.3, 5.81, 5.66, 
## 5.49, 5.22, 5, 4.93, 4.68, 4.68, 4.73, 4.99, 5.22, 5.31, 5.41, 
## 5.49, 5.62, 5.65, 5.63, 5.62, 5.61, 5.61, 5.59, 5.59, 5.54, 5.54, 
## 5.51, 5.43, 5.38, 5.33, 5.28, 5.13, 5.07, 4.88, 4.74, 4.7, 4.64, 
## 4.62, 4.6, 4.62, 4.72, 4.8, 4.86, 4.94, 5.02, 5.09, 5.28, 5.36, 
## 5.43, 5.51, 6.15, 6.21, 6.22, 6.2, 6.13, 6.1, 6.08, 6.05, 6.07, 
## 6.12, 6.12, 5.89, 5.35, 5.37, 5.36, 5.39, 5.41, 5.41, 5.37, 5.34, 
## 4.8, 4.52, 4.45, 4.3, 4.25, 4.22, 4.16, 4.13, 4.12, 4.14, 4.4, 
## 4.44, 4.55, 4.58, 4.64, 4.79, 4.89, 5, 5.05, 5.04, 4.96, 4.9, 
## 4.75, 4.74, 4.78, 4.83, 4.93, 4.97, 5.13, 5.17, 5.24, 5.45, 5.57, 
## 5.63, 5.64, 5.65, 5.64, 5.6, 5.54, 5.31, 5.2, 5.08, 4.93, 4.75, 
## 4.76, 4.73, 4.6, 4.66, 4.76, 4.89, 4.91, 4.84, 4.79, 4.53, 4.44, 
## 4.33, 4.13, 4.03, 3.93, 3.73, 3.63, 3.54, 3.46, 3.26, 3.09, 3.02, 
## 2.97, 2.96, 2.94, 2.96, 2.96, 2.97, 3.03, 3.14, 3.44, 3.53, 3.7, 
## 3.83, 3.89, 3.8, 3.83, 3.86, 4.04, 4.12, 4.21, 4.33, 4.36, 4.36, 
## 4.36, 4.37, 4.4, 4.4, 4.42, 4.48, 4.57, 4.68, 4.75, 4.79, 4.83, 
## 4.89, 4.88, 4.88, 4.85, 4.84, 4.78, 4.72, 4.5, 4.44, 4.41, 4.19, 
## 4.12, 4.09, 3.93, 3.8, 3.74, 3.77, 3.83, 4.22, 4.35, 4.49, 4.59, 
## 4.73, 4.95, 5, 4.99, 4.95, 4.93, 4.93, 4.92, 4.92, 4.9, 4.87, 
## 4.9, 4.9, 4.79, 4.72, 4.65, 4.8, 4.78, 4.71, 4.56, 4.47, 4.36, 
## 4.12, 3.93, 3.73, 3.69, 3.64, 3.56, 3.54, 3.52, 3.54, 3.66, 3.69, 
## 3.72, 3.7, 3.66, 3.66, 3.67, 3.8, 3.9, 4.01, 4.18, 4.66, 4.77, 
## 4.78, 4.81, 4.83, 4.81, 4.82, 4.8, 4.69, 4.64, 4.22, 4.17, 4.12, 
## 4.08, 4.03, 3.99, 3.99, 4.21, 4.32, 4.42, 4.47, 4.57, 4.62, 4.7, 
## 4.7, 4.7, 4.73, 4.72, 4.77, 4.79, 4.79, 4.39, 4.36, 4.34, 4.29, 
## 4.23, 4.08, 4, 3.95, 3.95, 3.94, 3.92, 3.87, 3.74, 3.7, 3.54, 
## 3.61, 3.85, 4.13, 4.43, 4.52, 4.62, 4.55, 4.48, 4.37, 4.31, 4.24, 
## 3.99, 3.76, 3.63, 3.46, 3.22, 3.09, 2.79, 2.74, 2.77, 2.99, 3.11, 
## 3.17, 3.25, 3.35, 3.63, 3.71, 3.78, 3.92, 4.04, 4.07, 4.08, 3.23, 
## 3.27, 3.38, 3.63, 3.7, 3.96, 4.06, 4.15, 4.22, 4.49, 4.51, 4.51, 
## 4.51, 4.49, 4.48, 4.46, 4.38, 4.29, 4.23, 4.21, 4.17, 3.78, 3.72, 
## 3.67, 3.64, 3.56, 3.54, 3.51, 3.5, 3.49, 3.42, 3.45, 3.51, 3.53, 
## 3.56, 3.56, 3.47, 3.37, 3.32, 3.29, 3.29, 3.54, 3.67, 3.84, 4.17, 
## 4.47, 4.63, 4.63, 4.62, 4.44, 4.37, 4.26, 4.15, 4.02, 3.93, 3.82, 
## 3.58, 3.45, 3.32, 3.21, 3.12, 2.9, 2.64, 2.41, 2.52, 2.53, 2.5, 
## 2.47, 2.35, 2.33, 2.41, 2.52, 2.68, 2.77, 3.03, 3.1, 3.16, 3.23, 
## 3.34, 3.35, 3.29, 3.31, 3.3, 3.33, 3.35, 3.27, 3.27, 3.27, 3.3, 
## 3.33, 3.35, 3.37, 3.38, 3.38, 3.36, 3.36, 3.36, 3.37, 3.35, 3.26, 
## 3.2, 3.06, 2.83, 2.75, 2.73, 2.77, 3.08, 3.81, 3.96, 4.08, 4.18, 
## 4.34, 4.43, 4.43, 4.39, 4.36, 4.11, 3.88, 3.63, 3.52, 3.44, 3.36, 
## 3.23, 3.16, 3.18, 3.19, 3.23, 3.26, 3.38, 3.42, 3.47, 3.51, 3.54, 
## 3.59, 3.61, 1.87, 1.9, 2.04, 2.18, 2.26, 2.36, 2.89, 3.26, 3.4, 
## 3.44, 3.52, 3.53, 3.49, 3.47, 3.47, 3.47, 3.45, 3.39, 3.37, 3.35, 
## 3.31, 3.3, 3.3, 3.32, 3.31, 3.36, 3.37, 3.41, 3.4, 3.42, 3.47, 
## 3.48, 3.45, 3.45, 3.44, 3.44, 3.45, 3.46, 3.46, 3.45, 3.5, 3.53, 
## 3.54, 3.53, 3.51, 3.38, 3.36, 3.38, 3.48, 3.51, 3.53, 3.54, 3.53, 
## 3.41, 3.38, 3.41, 3.44, 3.48, 3.5, 3.51, 3.52, 3.54, 3.52, 3.53, 
## 3.54, 3.57, 3.72, 3.78, 3.83, 3.99, 4.13, 4.26, 4.31, 4.23, 4.02, 
## 3.92, 3.44, 3.27, 3.12, 2.83, 2.68, 2.42, 2.3, 2.2, 2.14, 1.95, 
## 1.68, 1.33, 1.14, 0.9, 0.92, 1.02, 1.34, 1.58, 1.67, 1.76, 1.89, 
## 2.42, 2.61, 2.84, 3.28, 4.19, 4.52, 4.69, 4.81, 5.01, 5, 4.95, 
## 4.82, 4.7, 4.31, 4.12, 4.04, 3.87, 3.82, 3.94, 3.98, 4.17, 4.2, 
## 4.45, 4.56, 5.39, 5.42, 5.43, 5.08, 4.74, 4.69, 4.53, 4.44, 4.29, 
## 4.23, 4.11, 3.96, 3.71, 3.53, 3.25, 3.18, 2.95, 2.64, 2.44, 2.25, 
## 2.07, 1.89, 1.75, 1.62, 1.17, 1.05, 0.95, 0.81, 0.85, 0.98, 1.09, 
## 1.25, 1.44, 1.71, 1.97, 5.44, 5.45, 5.39, 5.38, 5.32, 5.3, 5.32, 
## 5.37, 5.38, 5.42, 5.42, 5.45, 5.43, 5.42, 5.41, 5.41, 5.38, 5.38, 
## 5.37, 5.39, 5.43, 5.44, 5.45, 5.44, 5.41, 5.4, 5.38, 5.33, 5.3, 
## 5.27, 5.3, 5.35, 5.39, 5.4, 5.37, 5.36, 5.35, 5.35, 5.37, 5.36, 
## 5.29, 5.19, 5.07, 5.04, 4.96, 4.93, 4.91, 4.87, 4.78, 4.78, 4.8, 
## 4.83, 4.88, 4.91, 4.92, 4.9, 4.83, 4.79, 4.71, 4.7, 4.69, 4.69, 
## 4.71, 4.73, 4.75, 4.78, 4.83, 4.85, 4.87, 4.87, 4.82, 4.8, 4.77, 
## 4.75, 4.75, 4.75, 4.76, 4.77, 4.78, 4.8, 4.85, 4.88, 4.93, 4.95, 
## 4.96, 4.96, 4.97, 4.96, 4.97, 4.97, 4.97, 4.97, 4.95, 4.94, 4.97, 
## 4.99, 5.01, 5.01, 4.98, 4.94, 4.91, 4.89, 4.87, 4.84, 4.82, 4.81, 
## 4.83, 4.84, 4.84, 4.86, 4.88, 4.91, 4.9, 4.9, 4.91, 4.9, 4.89, 
## 4.88, 4.86, 4.82, 4.82, 4.9, 4.96, 5.2, 5.3, 5.39, 5.63, 5.7, 
## 5.79, 5.9, 6.01, 6.09, 6.05, 5.85, 5.73, 5.28, 5.15, 5.01, 4.69, 
## 4.6, 4.54, 4.5, 4.47, 4.48, 4.51, 4.58, 4.77, 5.15, 5.23, 5.3, 
## 5.36, 5.4, 5.4, 5.38, 5.38, 5.36, 5.35, 5.42, 5.45, 5.49, 5.57, 
## 5.69, 5.75, 5.78, 5.82, 5.86, 5.87, 5.86, 5.84, 5.82, 5.8, 5.73, 
## 5.68, 5.7, 5.69, 5.67, 5.58, 5.57, 5.59, 5.73, 5.77, 5.81, 5.8, 
## 5.78, 5.72, 5.71, 5.71, 5.68, 5.64, 5.63, 5.57, 5.59, 5.59, 5.69, 
## 5.68, 5.66, 5.61, 5.59, 5.57, 5.64, 5.65, 5.68, 5.78, 5.84, 5.86, 
## 5.92, 5.93, 5.91, 5.88, 5.78, 5.75, 5.66, 5.61, 5.6, 5.61, 5.63, 
## 5.64, 5.66, 5.71, 5.7, 5.4, 5.24, 5.17, 5, 4.92, 4.89, 4.9, 4.92, 
## 4.91, 4.86, 4.84, 4.82, 4.8, 4.77, 4.74, 4.74, 4.75, 4.77, 4.77, 
## 4.79, 4.79, 4.79, 4.8, 4.78, 4.76, 4.75, 4.76, 4.79, 4.8, 4.86, 
## 4.89, 4.89, 4.92, 4.95, 4.96, 5.05, 5.08, 5.08, 5.55, 5.59, 5.58, 
## 5.53, 5.53, 5.55, 5.58, 5.43, 5.4, 5.42, 5.4, 5.37, 5.33, 5.28, 
## 5.14, 5.12, 5.1, 5.1, 5.09, 5.09, 5.08, 5.06, 5.05, 5.1, 5.11, 
## 5.08, 5.03, 5.05, 5.12, 5.17, 5.21, 5.19, 5.1, 5.09, 5.11, 5.18, 
## 5.2, 5.21, 5.18, 5.14, 5.14, 5.1, 5.09, 5.09, 5.09, 5.09, 5.09, 
## 5.09, 5.1, 5.1, 5.1, 5.11, 5.11, 5.1, 5.09, 5.09, 5.07, 5.07, 
## 5.07, 5.07, 5.06, 5.06, 5.06, 5.08, 5.11, 5.14, 5.16, 5.2, 5.22, 
## 5.22, 5.22, 5.27, 5.27, 5.26, 5.23, 5.24, 5.24, 5.23, 5.25, 5.25, 
## 5.26, 5.25, 5.25, 5.16, 5.15, 5.21, 5.23, 5.21, 5.19, 5.16, 5.14, 
## 5.16, 5.15, 5.16, 5.17, 5.19, 7.45, 7.49, 7.52, 7.53, 7.51, 7.47, 
## 7.38, 7.23, 7.28, 7.36, 7.39, 7.39, 7.4, 7.43, 7.41, 7.37, 7.35, 
## 7.32, 7.32, 7.37, 7.4, 7.36, 7.06, 6.8, 6.78, 6.66, 6.59, 6.52, 
## 6.44, 6.44, 6.48, 6.64, 6.65, 6.63, 6.61, 6.55, 6.52, 6.5, 6.48, 
## 6.46, 6.44, 6.48, 6.49, 6.53, 6.57, 6.64, 6.96, 7.07, 7.37, 7.68, 
## 7.77, 7.86, 7.94, 8.02, 8.08, 8.14, 8.14, 8.1, 8.07, 7.91, 7.68, 
## 7.61, 7.33, 7.23, 7.21, 7.21, 7.2, 7.23, 7.38, 7.47, 7.49, 7.5, 
## 7.47, 7.52, 7.56, 7.71, 7.91, 7.99, 8.13, 8.16, 8.11, 8.03, 7.97, 
## 7.83, 7.68, 7.68, 7.66, 7.66, 7.69, 7.71, 7.7, 7.69, 7.69, 7.67, 
## 7.6, 7.61, 7.58, 7.5, 7.45, 7.33, 7.27, 7.22, 7.17, 7.07, 7.03, 
## 6.98, 6.87, 6.87, 6.71, 6.66, 6.6, 6.48, 6.47, 6.54, 6.67, 6.76, 
## 7.48, 7.77, 7.92, 8.05, 8.19, 8.33, 8.53, 8.58, 8.72, 8.73, 8.62, 
## 8.53, 8.41, 8.27, 7.85, 7.64, 7.41, 7.3, 7.06, 6.94, 6.84, 6.75, 
## 6.66, 6.58, 6.54, 6.53, 6.53, 6.85, 7, 7.32, 7.41, 7.49, 7.5, 
## 7.6, 7.62, 7.75, 7.8, 7.87, 7.89, 7.97, 8.01, 7.99, 7.96, 7.8, 
## 7.68, 7.59, 7.5, 7.48, 7.41, 7.13, 7.07, 7.05, 7, 6.92, 6.82, 
## 6.8, 6.77, 6.79, 6.75, 6.7, 6.68, 6.7, 6.91, 7.1, 7.27, 7.32, 
## 7.55, 7.62, 7.66, 7.63, 7.61, 7.57, 7.51, 7.45, 7.09, 7.02, 6.97, 
## 6.92, 6.83, 6.78, 6.76, 6.7, 6.69, 6.63, 6.61, 6.63, 6.66, 6.71, 
## 6.95, 7.28, 7.49, 7.85, 8.07, 8.13, 8.18, 8.21, 8.28, 8.33, 8.5, 
## 8.55, 8.62, 8.6, 8.64, 8.66, 8.62, 8.55, 8.32, 8.25, 8.24, 8.23, 
## 8.07, 8.03, 8.03, 8.01, 7.94, 7.88, 7.82, 7.59, 7.3, 7.24, 7.19, 
## 7.15, 7.26, 7.48, 7.52, 7.58, 7.6, 7.68, 7.69, 7.69, 7.66, 7.53, 
## 7.47, 7.41, 7.11, 6.99, 6.87, 6.76, 6.61, 6.47, 6.35, 6.28, 6.28, 
## 6.27, 6.25, 6.24, 6.17, 6.15, 6.14, 6.12, 6.05, 6.25, 6.42, 6.82, 
## 7.05, 7.23, 7.38, 7.51, 7.69, 7.84, 7.89, 8.09, 8.24, 8.32, 8.25, 
## 8.18, 8.13, 7.92, 7.13, 6.99, 6.74, 6.69, 6.68, 6.6, 6.6, 6.49, 
## 6.4, 6.31, 6.11, 6.03, 6.01, 5.96, 5.98, 5.99, 5.98, 5.98, 5.99, 
## 6.05, 6.11, 6.33, 6.64, 6.73, 6.88, 6.97, 7.28, 7.5, 7.59, 7.47, 
## 7.31, 7.27, 7.23, 7.17, 7.13, 7.02, 7, 7, 6.97, 6.92, 6.86, 6.74, 
## 7.47, 7.66, 7.8, 7.9, 8.02, 8, 7.92, 7.85, 7.81, 7.69, 7.56, 
## 7.41, 7.32, 7.31, 7.36, 7.31, 7.3, 7.39, 7.43, 7.45, 7.51, 7.51, 
## 7.54, 7.61, 7.64, 7.58, 7.59, 7.56, 7.52, 7.31, 7.14, 6.82, 6.74, 
## 6.69, 6.67, 6.72, 6.86, 7.3, 7.36, 7.56, 7.61, 7.62, 7.42, 7.16, 
## 6.9, 6.77, 6.78, 6.78, 6.79, 6.88, 6.89, 6.86, 6.66, 6.7, 6.77, 
## 7.26, 7.42, 7.69, 7.8, 7.86, 7.89, 7.92, 7.93, 7.93, 7.94, 7.97, 
## 7.95, 7.85, 7.81, 7.81, 7.82, 7.83, 7.84, 7.89, 8, 8.02, 8.09, 
## 8.12, 8.16, 8.15, 8.15, 8.1, 8.09, 7.97, 7.87, 7.87, 8, 8.05, 
## 7.98, 7.79, 7.71, 7.54, 7.47, 7.44, 7.41, 7.4, 7.4, 7.52, 7.56, 
## 7.6, 7.58, 7.53, 7.47, 7.38, 7.28, 7.23, 7.09, 7.01, 7, 6.98, 
## 6.97, 6.8, 6.7, 6.69, 6.74, 7.08, 7.2, 7.64, 7.71, 7.72, 7.79, 
## 7.5, 7.47, 7.71, 7.62, 7.53, 7.25, 7.11, 7.19, 7.27, 7.4, 7.52, 
## 7.55, 7.6, 7.79, 7.88, 7.72, 7.66, 7.54, 7.67, 7.78, 8.09, 8.18, 
## 8.25, 8.18, 8.06, 8, 7.97, 7.94, 7.95, 7.98, 7.97, 8, 8, 7.98, 
## 7.96, 7.95, 7.93, 7.72, 7.71, 7.71, 7.67, 7.54, 7.55, 7.55, 7.55, 
## 7.55, 7.53, 7.51, 7.46, 7.41, 7.35, 7.28, 7.46, 7.53, 7.76, 7.82, 
## 7.89, 7.88, 7.89, 7.9, 7.9, 7.89, 7.95, 8.13, 8.24, 8.29, 8.26, 
## 8.18, 8.09, 7.79, 7.67, 7.57, 7.41, 7.24, 7.2, 7.16, 7.17, 7.18, 
## 7.2, 7.2, 7.22, 7.25, 7.26, 7.36, 7.39, 7.44, 7.7, 8, 8.14, 8.32, 
## 8.39, 8.39, 8.37, 8.35, 8.32, 8.31, 8.23, 8.21, 8.17, 8.15, 8.13, 
## 8.11, 8.13, 7.95, 7.74, 7.39, 7.21, 6.86, 6.75, 6.66, 6.65, 6.67, 
## 6.68, 6.7, 6.71, 6.74, 6.84, 6.86, 6.86, 6.92, 6.95, 7.17, 7.23, 
## 7.34, 7.54, 7.57, 7.57, 7.55, 7.53, 7.49, 7.48, 7.42, 7.33, 7.26, 
## 7.19, 7.19, 7.19, 7.25, 7.28, 7.29, 7.3, 7.33, 7.35, 7.36, 7.37, 
## 7.39, 7.42, 7.43, 7.47, 7.54, 7.55, 7.59, 7.61, 7.65, 7.65, 7.67, 
## 7.67, 7.66, 7.65, 7.65, 7.66, 7.69, 7.67, 7.66, 7.66, 7.66, 7.64, 
## 7.69, 7.73, 7.76, 7.78, 7.81, 7.88, 7.92, 7.92, 7.92, 7.88, 7.87, 
## 7.87, 7.83, 7.81, 7.75, 7.7, 7.69, 7.65, 7.62, 7.6, 7.58, 7.52, 
## 7.48, 7.47, 5.21, 5.05, 5.03, 5.04, 5.06, 5.07, 5.11, 5.12, 5.14, 
## 5.15, 5.07, 5.07, 5.07, 5.07, 5.07, 5.07, 5.08, 5.09, 5.09, 5.09, 
## 5.07, 5.06, 5.03, 5.03, 5.03, 5.04, 5.05, 5.05, 5.07, 5.08, 5.08, 
## 5.08, 5.08, 5.09, 5.09, 5.09, 5.08, 5.09, 5.09, 5.09, 5.1, 5.1, 
## 5.08, 5.08, 5.08, 5.09, 5.09, 5.07, 5.07, 5.06, 5.08, 5.11, 5.19, 
## 5.26, 5.27, 5.27, 5.28, 5.29, 5.29, 5.23, 5.15, 5.11, 4.68, 4.54, 
## 4.5, 4.47, 4.71, 4.83, 5.1, 5.33, 5.39, 5.41, 5.35, 5.28, 5.19, 
## 5.11, 4.82, 4.66, 4.42, 4.37, 4.32, 4.3, 4.39, 4.63, 4.75, 4.94, 
## 5.29, 5.37, 5.44, 5.51, 5.37, 5.07, 4.97, 4.9, 4.81, 4.95, 5.01, 
## 5.07, 5.14, 5.19, 5.23, 5.23, 4.88, 4.14, 3.98, 3.98, 4.09, 4.17, 
## 4.23, 4.29, 4.34, 4.39, 4.49, 4.52, 4.55, 4.58, 4.61, 4.65, 4.74, 
## 4.77, 4.82, 4.9, 4.9, 4.91, 5.04, 5.11, 5.2, 5.48, 5.55, 5.57, 
## 5.42, 5.78, 5.84, 5.95, 6.02, 5.99, 5.95, 5.72, 5.55, 5.29, 5.28, 
## 5.26, 5.54, 5.79, 5.84, 5.83, 5.73, 5.6, 5.58, 5.59, 5.59, 5.65, 
## 5.77, 5.8, 5.84, 5.85, 5.85, 5.85, 5.87, 5.9, 5.91, 5.92, 5.97, 
## 5.96, 5.94, 5.91, 5.88, 5.84, 5.8, 5.79, 5.79, 5.82, 5.86, 5.96, 
## 5.97, 5.94, 5.91, 5.84, 5.81, 5.81, 5.81, 5.79, 5.79, 5.79, 5.78, 
## 5.8, 5.81, 5.83, 5.82, 5.83, 5.84, 5.86, 5.85, 5.83, 5.76, 5.72, 
## 5.68, 5.39, 5.34, 5.28, 5.15, 4.98, 4.94, 4.9, 4.86, 4.84, 4.84, 
## 4.85, 4.85, 4.95, 4.98, 4.96, 4.94, 4.81, 4.75, 4.71, 4.7, 4.72, 
## 4.74, 3.65, 3.98, 4.5, 4.89, 5.23, 5.86, 5.93, 5.93, 5.67, 5.56, 
## 5.43, 4.87, 4.51, 4.35, 3.98, 3.74, 3.72, 3.74, 3.91, 3.99, 4.08, 
## 4.17, 4.6, 4.73, 4.89, 5.26, 5.41, 5.85, 5.95, 6.05, 6.01, 5.96, 
## 5.7, 5.65, 5.54, 5.48, 5.41, 5.34, 4.97, 4.84, 4.7, 4.53, 4.3, 
## 4.23, 4.06, 3.93, 3.79, 3.73, 3.69, 3.61, 3.51, 3.44, 3.3, 3.17, 
## 3.16, 3.17, 3.2, 3.32, 3.44, 4.43, 4.53, 4.72, 4.93, 5.21, 5.38, 
## 5.5, 5.54, 5.62, 5.6, 5.54, 5.45, 5.13, 4.92, 4.7, 4.57, 4.44, 
## 4.32, 4.09, 3.99, 3.98, 4.13, 4.37, 4.5, 4.72, 4.76, 4.76, 4.56, 
## 4.5, 4.49, 4.48, 4.53, 4.53, 4.5, 4.47, 4.43, 4.39, 4.31, 4.25, 
## 4.16, 4.05, 4, 3.93, 3.9, 3.86, 3.83, 3.91, 3.8, 3.42, 3.49, 
## 4.29, 4.49, 4.63, 4.74, 4.86, 4.94, 5.02, 5.09, 5.16, 5.26, 5.3, 
## 5.32, 5.09, 4.86, 4.53, 4.45, 4.39, 4.32, 4.17, 4.01, 3.79, 3.75, 
## 3.71, 3.58, 3.55, 3.57, 3.76, 4.45, 4.41, 4.43, 4.63, 4.7, 4.74, 
## 4.75, 4.7, 4.63, 4.51, 4.25, 4.08, 3.87, 3.75, 3.63, 3.49, 3.34, 
## 2.88, 2.87, 2.75, 2.53, 2.52, 2.52, 2.58, 2.81, 3.54, 4.16, 4.38, 
## 4.6, 4.81, 5.04, 5.34, 5.58, 5.67, 5.65, 5.63, 5.6, 4.99, 4.79, 
## 4.62, 4.53, 4.36, 4.32, 4.28, 4.26, 4.28, 5.02, 5.18, 5.19, 5.2, 
## 5.21, 5.21, 5.23, 5.2, 5.12, 5.05, 4.85, 4.54, 3.93, 3.91, 3.85, 
## 3.52, 3.37, 3.18, 3.3, 3.64, 4.43, 4.5, 4.69, 4.78, 4.88, 4.98, 
## 5.1, 5.24, 5.38, 5.67, 5.9, 6.14, 6.02, 5.79, 5.5, 5.19, 5.02, 
## 4.68, 4.26, 4.12, 3.72, 3.6, 3.64, 4.6, 4.84, 4.77, 4.81, 4.88, 
## 4.99, 5.01, 4.99, 4.92, 4.4, 4.38, 4.35, 4.26, 4.15, 4.03, 3.72, 
## 3.64, 3.56, 3.47, 3.46, 3.48, 3.58, 3.64, 3.9, 3.98, 4.06, 4.27, 
## 4.41, 4.62, 4.69, 4.81, 4.89, 4.96, 5.01, 5.04, 4.93, 4.76, 4.4, 
## 4.31, 4.14, 3.92, 3.68, 3.63, 3.62, 3.64, 3.68, 3.77, 3.88, 4.28, 
## 4.39, 4.45, 4.5, 4.47, 4.44, 4.32, 4.25, 4.21, 4.17, 4.11, 4.05, 
## 3.96, 3.88, 3.62, 3.54, 3.34, 3.25, 3.03, 2.82, 2.69, 2.1, 2.01, 
## 2.13, 2.48, 2.67, 3.41, 3.68, 4.08, 4.22, 4.36, 4.51, 4.81, 5.28, 
## 5.46, 5.4, 5.35, 5.29, 5.22, 4.96, 4.68, 4.65, 4.66, 4.67, 4.73, 
## 4.97, 5.18, 5.29, 5.5, 5.46, 5.39, 5.29, 5.05, 4.99, 4.83, 4.34, 
## 4.22, 3.96, 3.82, 3.4, 3.27, 3.25, 2.73, 2.62, 2.53, 2.42, 2.34, 
## 2.27, 2.25, 2.33, 2.43, 2.86, 3.05, 3.27, 3.52, 4.4, 4.7, 5.01, 
## 5.1, 5.32, 5.45, 5.74, 5.91, 6.62, 6.81, 7.11, 7.25, 7.38, 7.54, 
## 7.5, 7.41, 7.3, 7.18, 6.24, 6.05, 5.87, 5.71, 5.38, 5.2, 5.04, 
## 4.8, 4.9, 5.37, 5.45, 5.54, 5.54, 5.44, 5.34, 5.23, 5.11, 5.03, 
## 4.96, 4.79, 4.71, 4.63, 4.53, 4.45, 4.38, 4.33, 4.03, 3.79, 3.75, 
## 3.71, 3.68, 3.65, 3.62, 3.6, 3.58, 3.57, 3.54, 3.52, 3.49, 3.52, 
## 3.7, 3.81, 4.24, 4.65, 4.93, 5.05, 5.16, 5.26, 6, 6, 5.81, 5.73, 
## 5.28, 5.04, 4.42, 4.3, 3.98, 4.1, 4.28, 4.76, 5.45, 5.5, 5.55, 
## 5.6, 5.94, 5.97, 6, 5.97, 5.74, 5.21, 5.07, 4.98, 4.57, 4.48, 
## 4.4, 4.31, 4.17, 4.07, 3.76, 3.7, 3.67, 3.71, 3.77, 4.04, 4.11, 
## 4.18, 4.25, 4.48, 4.74, 4.9, 5.69, 6.27, 6.38, 6.44, 6.42, 6.01, 
## 5.32, 5.15, 4.86, 4.72, 4.43, 4.3, 4.1, 4.03, 4.52, 4.66, 4.82, 
## 4.94, 5.04, 5.1, 5.11, 4.88, 4.81, 4.84, 4.96, 5.08, 5.36, 5.66, 
## 5.8, 6, 6.11, 6.03, 5.99, 5.8, 5.69, 5.63, 5.33, 5.28, 5.21, 
## 5.13, 4.69, 4.51, 4.31, 4.14, 3.43, 3.54, 4.53, 5.42, 5.55, 5.78, 
## 5.81, 5.64, 5.38, 5.24, 5.12, 5, 4.87, 4.63, 4.54, 4.45, 4.36, 
## 4.16, 4.06, 4.05, 4.06, 4.12, 4.19, 4.26, 4.28, 4.51, 4.61, 4.63, 
## 4.68, 4.71, 4.63, 4.63, 4.63, 4.63, 4.63, 4.62, 4.63, 4.68, 4.72, 
## 4.74, 4.77, 4.77, 4.75, 4.75, 4.78, 4.77, 4.78, 4.8, 4.83, 4.86, 
## 4.83, 4.75, 5.67, 5.65, 5.63, 5.31, 5.37, 5.47, 5.56, 5.61, 5.69, 
## 5.69, 5.66, 5.62, 5.59, 5.56, 5.51, 5.46, 5.42, 5.38, 5.34, 5.3, 
## 5.19, 5.14, 5.08, 5.09, 5.15, 5.2, 5.28, 5.42, 5.49, 5.51, 5.59, 
## 5.54, 5.51, 5.67, 5.84, 5.92, 5.95, 5.92, 5.9, 5.89, 5.89, 5.85, 
## 5.87, 5.92, 5.97, 6.04, 6.08, 6.1, 6.12, 6.16, 6.17, 6.18, 6.12, 
## 5.95, -43.5, -43.5, -43.5, -43.6, -43.6, -43.7, -43.7, -43.7, 
## -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.8, -43.8, 
## -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, -43.8, 
## -43.8, -43.8, -43.8, -43.9, -43.8, -43.8, -43.8, -43.7, -43.7, 
## -43.7, -43.6, -43.6, -43.7, -43.7, -43.8, -43.8, -43.8, -43.8, 
## -43.8, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, 
## -43.6, -43.6, -43.6, -43.5, -43.5, -43.6, -43.6, -43.5, -43.5, 
## -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.5, 
## -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, -43, 
## -43, -43, -43, -43, -43, -43.1, -43.1, -43.1, -43.1, -43.1, -43.1, 
## -43.1, -43.1, -43.2, -43.2, -43.3, -43.3, -43.3, -43.3, -43.2, 
## -42.4, -42.3, -42.2, -42.3, -42.4, -42.4, -42.4, -42.5, -42.5, 
## -42.5, -42.6, -42.6, -42.6, -42.6, -42.6, -42.7, -42.7, -42.7, 
## -42.7, -42.5, -42.5, -42.6, -42.6, -42.6, -42.6, -42.6, -42.5, 
## -42.5, -42.5, -42.5, -42.5, -42.5, -42.6, -42.6, -42.7, -42.8, 
## -42.8, -42.9, -42.9, -42.9, -42.9, -42.9, -42.8, -42.8, -42.6, 
## -42.5, -42.2, -42.2, -42.1, -42.1, -42.1, -42.1, -42.1, -42.2, 
## -42.2, -42.3, -42.3, -42.4, 38.8, 39, 39.1, 39.2, 39.3, 39.4, 
## 39.5, 39.6, 39.7, 39.8, 39.9, 40.2, 40.3, 40.5, 40.8, 40.9, 41, 
## 41, 41, 41.1, 41.1, 41.1, 41.1, 41.1, 41.2, 41.2, 41.2, 41.2, 
## 41.2, 41.2, 33, 33.1, 33.2, 33.6, 33.8, 34.1, 34.9, 35.4, 35.7, 
## 35.9, 36.5, 36.4, 36.3, 34.3, 33.7, 33.3, 32.8, 32, 32, 31.9, 
## 31.7, 31.7, 31.6, 31.2, 31.2, 31.1, 31.1, 30.9, 30.9, 30.8, 30.8, 
## 30.7, 30.7, 30.6, 30.6, 30.6, 30.5, 30.4, 30.4, 30.2, 30.2, 30.1, 
## 30.1, 30, 30, 30, 29.9, 29.8, 29.8, 29.8, 29.9, 29.9, 29.7, 29.5, 
## 29.1, 28.9, 26.7, 25.9, 24.9, 23.8, 23.8, 24.6, 24.8, 25.1, 25.2, 
## 25.4, 25.5, 25.7, 25.9, 26.2, 26.5, 26.7, 27, 27, 27.1, 27.1, 
## 27.2, 27.2, 27.2, 27.2, 27.2, 27.3, 27.3, 27.3, 27.2, 27.2, 27.2, 
## 27.2, 27.1, 27, 27, 27, 27, 27, 27.1, 27.1, 27.1, 27.1, 27, 27, 
## 27, 26.9, 26.9, 26.9, 26.9, 26.9, 26.9, 26.9, 27, 27, 27, 27, 
## 26.9, 26.8, 26.7, 26.7, 26.7, 26.6, 26.5, 26.6, 26.6, 26.6, 26.6, 
## 26.6, 26.5, 26.5, 26.4, 26.4, 26.3, 26.3, 26.2, 26.2, 26.2, 26.2, 
## 26.2, 26.2, 26.2, 26.2, 26.1, 26.1, 26.1, 26.1, 26, 26, 24.5, 
## 24.6, 24.6, 24.6, 24.7, 24.7, 24.8, 24.8, 24.9, 24.9, 24.9, 24.9, 
## 24.9, 24.9, 24.9, 24.9, 24.9, 24.8, 24.8, 24.7, 24.6, 24.4, 24.3, 
## 24.2, 24.1, 24.1, 24, 24, 23.9, 23.8, 23.8, 23.8, 23.8, 23.7, 
## 23.7, 23.8, 23.9, 24, 24, 24.1, 24.1, 24, 23.8, 23.7, 23.6, 23.6, 
## 23.5, 23.4, 23.3, 23.2, 22.9, 22.6, 22.6, 22.7, 22.7, 22.8, 22.9, 
## 22.9, 22.9, 23, 23, 23, 23, 23, 23, 23, 23, 23.1, 23.1, 23.1, 
## 23.2, 23.1, 23, 22.9, 22.8, 22.7, 22.6, 22.5, 22.5, 22.4, 22.4, 
## 22.3, 22.2, 22.2, 22.1, 22.1, 22.1, 22.1, 22.1, 22.1, 22.1, 22.1, 
## 22.1, 22.1, 21.4, 21.3, 21.3, 21.3, 21.3, 21.3, 21.4, 21.4, 21.4, 
## 21.4, 21.4, 21.4, 21.4, 21.5, 21.6, 21.6, 21.6, 21.5, 21.4, 21.2, 
## 21.1, 21.1, 20.9, 20.8, 20.5, 20.4, 20.4, 20.3, 20.3, 20.1, 19.9, 
## 19.9, 19.9, 19.8, 19.8, 19.8, 19.8, 19.9, 19.9, 19.9, 19.9, 19.9, 
## 20, 20, 20.1, 20.2, 20.2, 20.2, 20.2, 20.2, 20.2, 20.2, 20.2, 
## 20.2, 20.1, 20.1, 20.1, 20.1, 20.1, 20.1, 20.2, 20.2, 20.2, 20.2, 
## 20.3, 20.3, 20.3, 20.2, 20.2, 20.2, 20.2, 20, 19.9, 19.7, 19.6, 
## 19.3, 19.2, 19.2, 19.3, 19.4, 19.4, 19.4, 19.5, 19.5, 19.5, 19.5, 
## 19.5, 19.5, 19.5, 19.5, 19.5, 19.4, 19.3, 19.2, 19.2, 19.1, 18.9, 
## 18.9, 18.9, 18.8, 18.7, 18.7, 18.7, 18.2, 18.1, 18.1, 17.9, 17.8, 
## 17.8, 17.7, 17.7, 17.6, 17.6, 17.6, 17.6, 17.9, 17.9, 18, 18, 
## 18.1, 18.1, 18.1, 18.1, 18.1, 18.1, 18.1, 18.1, 18.2, 18.2, 18.2, 
## 18.2, 18.2, 18.2, 18.2, 18.2, 18.2, 18.1, 18, 17.9, 17.9, 17.8, 
## 17.6, 17.5, 17.4, 17.6, 17.6, 17.6, 17.4, 17.3, 17.3, 17.3, 17.2, 
## 17.1, 17.1, 17, 17, 17, 16.9, 16.9, 16.9, 16.9, 17, 17.3, 17.3, 
## 17.3, 17.3, 17.4, 17.4, 17.5, 17.5, 17.5, 17.4, 17.2, 17.2, 17.2, 
## 17.2, 17.3, 17.3, 17.4, 17.5, 17.5, 17.5, 17.5, 17.5, 17.5, 17.5, 
## 17.5, 17.4, 17.3, 17.2, 17.2, 17.2, 17.2, 17.1, 17.1, 17, 16.9, 
## 16.9, 16.9, 16.7, 16.7, 16.5, 16.5, 16.4, 16.3, 16.2, 16.2, 16.2, 
## 16.3, 16.3, 16.4, 16.5, 16.6, 16.7, 16.8, 16.8, 16.8, 16.9, 16.9, 
## 16.9, 16.9, 16.7, 16.7, 16.7, 16.6, 16.6, 16.6, 16.6, 16.7, 16.8, 
## 16.8, 16.9, 16.6, 16.4, 16.3, 16.3, 16.2, 16.2, 16.2, 16.2, 16.2, 
## 16.1, 16.2, 16.3, 16.3, 16.3, 16.4, 16.4, 16.4, 16.5, 16.5, 16.5, 
## 16.5, 16.5, 16.5, 16.4, 16.4, 16.4, 16.3, 16.2, 16, 15.8, 15.8, 
## 15.8, 15.6, 15.4, 15.4, 15.3, 15.2, 15.3, 15.3, 15.4, 15.4, 15.5, 
## 15.6, 15.8, 15.9, 15.9, 15.9, 16, 16, 16, 15.9, 15.9, 16, 16, 
## 16, 16, 16, 15.9, 15.9, 15.8, 15.5, 15.5, 15.5, 15.5, 15.5, 15.5, 
## 15.5, 15.6, 15.7, 15.7, 15.8, 16.2, 16.3, 16.4, 16.4, 16.4, 16.5, 
## 16.5, 16.5, 16.5, 16.5, 16.5, 16.5, 16.3, 16.1, 16, 16, 16, 16, 
## 16, 16, 16, 16, 15.7, 15.7, 15.6, 15.6, 15.6, 15.6, 15.6, 15.5, 
## 15.5, 15.5, 15.6, 15.9, 16.1, 16.2, 16.2, 16.3, 16.3, 16.3, 16.2, 
## 16.2, 16.1, 16.1, 16, 16, 16, 16, 16.2, 16.3, 16.2, 16.2, 16.1, 
## 16.1, 16.1, 16, 15.9, 15.8, 15.8, 15.7, 15.5, 15.5, 15.5, 15.5, 
## 15.5, 15.6, 15.6, 15.7, 15.8, 15.9, 16, 16.1, 16.1, 16.3, 16.4, 
## 16.4, 16.5, 16.4, 16.5, 16.4, 16.4, 16.4, 16.3, 16.2, 16.2, 16.2, 
## 16.1, 16.1, 16, 16, 15.9, 15.9, 15.9, 15.9, 15.9, 15.9, 15.9, 
## 16, 16, 16, 16.1, 16.1, 16.1, 16.1, 16, 16, 15.9, 15.9, 15.8, 
## 15.8, 15.8, 16, 16.1, 16.1, 16.3, 16.5, 16.7, 16.8, 16.9, 16.9, 
## 16.9, 16.7, 16.6, 16, 16, 16.1, 16.2, 16.5, 16.5, 16.6, 16.6, 
## 16.7, 16.7, 16.7, 16.7, 16.8, 16.8, 16.8, 16.8, 16.9, 17, 17, 
## 17, 17, 17, 17, 17, 17, 16.9, 16.8, 16.8, 16.8, 16.8, 16.8, 16.8, 
## 16.8, 16.8, 16.8, 16.7, 16.7, 16.6, 16.6, 16.6, 16.6, 16.6, 16.6, 
## 16.6, 16.6, 16.6, 16.6, 16.6, 16.7, 16.7, 16.7, -43.3, -43.4, 
## -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.5, 
## -43.5, -43.4, -43.4, -43.5, -43.5, -43.5, -43.5, -43.5, -43.6, 
## -43.6, -43.6, -43.6, -43.6, -43.6, -43.5, -43.6, -43.6, -43.7, 
## -43.7, -43.8, -43.8, -43.7, -43.7, -43.6, -43.6, -43.6, -43.6, 
## -43.5, -43.4, -43.4, -43.4, -43.4, -43.4, -43.5, -43.5, -43.5, 
## -43.5, -43.5, -43.5, -43.5, -43.6, -43.7, -43.8, -43.8, -43.9, 
## -43.9, -44.1, -44.1, -44, -44, -43.9, -43.9, -44, -44, -44, -44.1, 
## -44.1, -44.2, -44.2, -44.3, -44.4, -44.5, -44.5, -44.6, -44.6, 
## -44.7, -44.7, -44.8, -44.8, -44.8, -44.8, -44.8, -44.8, -44.8, 
## -44.8, -44.8, -44.7, -44.7, -44.7, -44.5, -44.5, -44.5, -44.5, 
## -44.6, -44.7, -44.7, -44.8, -44.9, -44.9, -44.9, -44.9, -44.9, 
## -44.7, 16.5, 16.5, 16.5, 16.5, 16.5, 16.5, 16.5, 16.4, 16.4, 
## 16.4, 16.2, 16.1, 16.1, 16.1, 16.1, 16.1, 16, 16, 16, 16, 16, 
## 17.1, 17, 17, 17.1, 17.2, 17.2, 17.3, 17.3, 17.3, 17.4, 17.4, 
## 17.4, 17.4, 17.5, 17.5, 17.5, 17.5, 17.5, 17.5, 17.5, 17.5, 17.5, 
## 17.4, 17.4, 17.4, 17.4, 17.3, 17.3, 17.3, 17.3, 20.7, 20.7, 20.7, 
## 20.7, 20.7, 20.7, 20.7, 20.8, 20.8, 20.8, 20.9, 21, 21, 21.1, 
## 21, 21, 20.8, 20.7, 20.7, 20.6, 20.6, 20.6, 20.6, 22.1, 22.1, 
## 22.1, 22.2, 22.2, 22.1, 22.1, 22, 21.9, 21.9, 21.7, 21.7, 21.6, 
## 21.3, 21.1, 21.2, 21.2, 21.2, 21.3, 21.3, 21.3, 25.9, 25.8, 25.8, 
## 25.7, 25.7, 25.6, 25.4, 25.3, 25.3, 25.2, 24.9, 24.9, 24.8, 24.7, 
## 24.6, 24.5, 24.4, 41.2, 41.2, 41, 40.8, 40.4, 40.1, 39.7, 39.5, 
## 39, 38.4, 37.1, 35.8, 34, 33.5, 32.8, 32.4, 32.5, 32.6, 4.71, 
## 4.69, 4.66, 4.65, 4.63, 4.58, 4.5, 4.45, 4.42, 4.38, 4.35, 4.24, 
## 4.18, 4.13, 4.09, 4.04, 3.97, 3.93, 3.88, 3.82, 3.77, 3.72, 3.68, 
## 3.61, 5.08, 5.08, 5.06, 5.08, 5.09, 5.08, 5.11, 5.1, 5.1, 5.1, 
## 5.13, 5.14, 5.17, 5.18, 5.18, 5.17, 5.12, 5.09, 5.07, 5.08, 5.24, 
## 5.3, 5.36, 5.44, 5.45, 5.45, 5.44, 5.5, 3.63, 3.62, 3.61, 3.62, 
## 3.67, 3.7, 3.9, 3.94, 3.9, 3.75, 3.56, 2.63, 2.03, 1.87, 3.81, 
## 4.06, 4.23, 4.4, 4.58, 5.04, 5.05, 5.08, 5.09, 5, 4.67, 4.55, 
## 4.42, 4.14, 3.98, 3.86, 3.6, 3.44, 3.32, 3.25, 3.19, 3.18, 3.16, 
## 3.17, 3.2, 4.1, 4.1, 4.07, 4.03, 4, 4, 3.99, 3.97, 4, 3.98, 3.94, 
## 3.86, 3.67, 3.63, 3.62, 3.64, 3.65, 3.7, 3.59, 3.59, 3.64, 3.67, 
## 4.73, 4.54, 4.49, 4.44, 4.43, 4.33, 4.3, 4.26, 4.27, 4.27, 4.28, 
## 4.3, 4.3, 4.36, 4.39, 4.4, 4.45, 4.48, 4.53, 4.57, 4.62, 4.61, 
## 4.62, 4.59, 4.55, 4.51, 4.48, 4.68, 4.7, 4.47, 4.41, 4.34, 4.26, 
## 4.3, 4.35, 4.47, 4.54, 4.62, 4.75, 4.8, 4.89, 4.95, 4.98, 4.96, 
## 4.91, 4.87, 4.85, 4.89, 4.88, 4.81, 4.76, 4.77, 5.56, 5.46, 5.33, 
## 5.23, 5.14, 4.95, 4.87, 4.71, 4.41, 4.41, 4.38, 4.36, 4.34, 4.34, 
## 4.37, 4.39, 4.41, 4.43, 4.54, 4.56, 4.54, 4.48, 4.4, 4.45, 4.54, 
## 5.07, 6.14, 6.18, 6.37, 6.32, 6.23, 6.14, 5.98, 5.95, 5.85, 5.81, 
## 5.75, 5.7, 5.06, 4.96, 4.77, 4.59, 4.45, 4.53, 4.82, 5, 5.23, 
## 5.27, 5.3, 5.31, 6.01, 6.01, 5.94, 5.88, 5.8, 5.58, 5.59, 5.6, 
## 5.61, 5.61, 5.62, 5.62, 5.66, 5.68, 5.69, 5.69, 5.71, 5.73, 5.74, 
## 5.74, 5.79, 5.93, 5.97, 6.08, 5.69, 5.72, 5.72, 5.74, 5.76, 5.77, 
## 5.72, 5.68, 5.66, 5.65, 5.63, 5.58, 5.53, 5.51, 5.48, 5.43, 5.37, 
## 5.26, 5.27, 5.32, 5.6, 5.69, 5.79, 5.87, 26.1, 26.2, 26.3, 26.3, 
## 26.3, 26.1, 25.9, 25.9, 25.7, 25.7, 25.7, 25.8, 25.8, 25.9, 26, 
## 26.1, 26.2, 26.2, 26.2, 26.4, 26.4, 26.4, 26.4, 26.4, 26.4, 26.4, 
## 25.8, 25.8, 25.9, 26, 26.1, 26.1, 26.3, 26.3, 26.4, 26.4, 26.3, 
## 26.3, 26.2, 26, 25.9, 25.9, 25.8, 26.3, 26.3, 26.3, 26.3, 26.2, 
## 26.1, 26, 25.9, 25.8, 25.8, 25.8, 25.9, 25.9, 26, 26.1, 26.1, 
## 26.1, 26.1, 26.3, 26, 26, 25.8, 25.6, 25.6, 25.6, 25.4, 25.4, 
## 25.3, 25.3, 25.4, 25.5, 25.7, 25.8, 26, 26.2, 26.2, 26.3, 26.3, 
## 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26.1, 26.1, 26, 
## 26, 26, 25.9, 25.9, 26, 26, 26, 26, 26, 26, 26.1, 26.1, 26.1, 
## 25.9, 28.6, 28.6, 7.29, 7.26, 7.32, 7.34, 7.42, 7.49, 7.47, 7.42, 
## 7.38, 7.39, 7.54, 7.57, 7.58, 7.62, 7.69, 7.74, 7.86, 7.91, 8.02, 
## 8.06, 8.15, 8.17, 8.16, 8.14, 8.12, 8.07, 8, 7.96, 7.91, 7.9, 
## 7.87, 26.4, 26.3, 26.2, 26.2, 26.1, 26.1, 25.7, 25.7, 25.6, 25.9, 
## 26.2, 26.2, 26.3, 26.6, 26.7, 26.9, 27, 27, 27.3, 27.4, 27.5, 
## 27.5, 27.6, 27.5, 27.2, 27.1, 26.9, 26.5, 26.5, 26.5, 26.4, 26.4, 
## 26.3, 26.2, 26.5, 26.9, 26.9, 26.9, 27, 26.8, 26.8, 26.8, 26.8, 
## 26.8, 26.7, 26.6, 26.5, 26.5, 26.5, 26.4, 26.2, 26.2, 26.2, 26.1, 
## 26.2, 26.3, 26.3, 26.4, 26.4, 26.4, 26.3, 26.3, 26.3, 26.4, 26.4, 
## 26.5, 26.6, 26.8, 27.1, 27.4, 27.5, 27.5, 27.5, 27.5, 27.5, 27.4, 
## 27.1, 26.9, 26.9, 26.8, 26.8, 26.7, 26.7, 26.4, 26.4, 26.4, 26.4, 
## 26.5, 26.6, 26.7, 26.8, 26.8, 26.7, 26.7, 26.7, 26.7, 26.5, 26.6, 
## 26.6, 26.6, 26.9, 27, 27, 27, 27.2, 27.3, 27.3, 27.3, 27.4, 27.4, 
## 27.8, 27.9, 27.9, 27.9, 27.5, 27.2, 27.1, 26.9, 26.8, 26.7, 26.8, 
## 26.8, 26.7, 26.6, 26.6, 26.6, 26.7, 26.8, 26.9, 27, 26.9, 26.9, 
## 26.9, 26.8, 26.7, 26.5, 26.5, 26.4, 26.3, 26.4, 26.6, 26.7, 26.6, 
## 26.6, 26.6, 26.4, 26.4, 26.2, 26, 26, 26.1, 26.2, 26.6, 26.7, 
## 26.7, 26.9, 27.1, 27.2, 27.3, 27.6, 27.7, 27.7, 27.7, 27.6, 27.5, 
## 27.4, 27.3, 27.1, 27, 26.5, 26.4, 26.4, 27.4, 27.5, 27.7, 27.8, 
## 27.6, 27.5, 27.4, 26.3, 26.3, 26.2, 26.2, 26.1, 26.1, 26.1, 26.1, 
## 26.1, 26.1, 26.2, 26.2, 26.2, 26.3, 26.3, 26.2, 26.2, 26.2, 26.2, 
## 26.2, 26.2, 26.1, 26.1, 26.1, 26.2, 26.4, 26.5, 26.8, 27, 27.1, 
## 27.4, 27.5, 27.4, 26.8, 26.8, 26.7, 26.6, 26.4, 26.4, 25.8, 25.9, 
## 26, 26.3, 26.5, 26.6, 26.8, 26.8, 26.7, 26.7, 26.7, 26.5, 26.5, 
## 26.6, 26.7, 26.7, 26.6, 26.5, 26.5, 26.5, 26.4, 26.4, 26.4, 26.5, 
## 26.5, 26.6, 26.7, 26.6, 26.5, 26.4, 26.3, 26.2, 26.1, 26, 26.2, 
## 26.3, 26.5, 26.5, 26.5, 26.4, 26.2, 25.9, 25.6, 25.3, 25.2, 25.2, 
## 25.4, 25.6, 25.7, 25.8, 25.8, 25.9, 26, 26, 25.9, 25.9, 25.7, 
## 25.4, 25.2, 25.1, 25.1, 25.2, 26.2, 26.5, 27.2, 27.4, 27.4, 27.4, 
## 27.2, 27.1, 26.8, 26.5, 26.4, 26.1, 25.8, 25.8, 25.7, 25.6, 25.5, 
## 25.5, 25.6, 25.7, 25.8, 25.9, 26.1, 26.1, 26.1, 26.2, 26.1, 25.8, 
## 25.7, 25.7, 25.7, 25.7, 25.7, 25.7, 25.8, 25.9, 25.8, 25.8, 25.8, 
## 25.9, 26, 26, 26, 25.9, 25.8, 25.7, 25.3, 25.2, 25.3, 25.7, 25.9, 
## 26.4, 27, 27.2, 27.4, 27.5, 27.7, 27.8, 27.7, 27.5, 27, 26.8, 
## 26.4, 26.2, 25.8, 25.4, 25.3, 25.3, 25.5, 26.2, 26.2, 25.9, 25.4, 
## 25.4, 25.4, 27.7, 27.9, 28.1, 27.4, 27.2, 26.9, 26.8, 26.5, 26.3, 
## 26, 25.9, 25.9, 25.9, 26.1, 26.3, 26.7, 26.8, 27.3, 27.3, 27.3, 
## 27.2, 27.1, 27, 26.9, 26.7, 26.4, 26.3, 26.2, 26.2, 26.2, 26.2, 
## 26.2, 26.2, 26.2, 26.3, 26.2, 26.2, 26.2, 26.2, 26.1, 26.1, 26, 
## 25.9, 25.9, 25.8, 25.9, 25.9, 25.9, 25.9, 26.7, 26.9, 27.1, 27.2, 
## 26.6, 26.4, 25.9, 25.7, 25.2, 25.1, 24.8, 24.7, 24.8, 24.9, 25, 
## 25.1, 25.6, 25.7, 25.7, 25.8, 25.8, 25.8, 25.8, 25.8, 25.8, 25.8, 
## 25.9, 25.9, 25.8, 25.7, 25.6, 25.5, 25.3, 25.2, 25.2, 25.1, 24.8, 
## 7.45, 2.15, 2.44, 3.39, 3.53, 3.65, 3.76, 3.85, 4, 4.03, 4.02, 
## 3.69, 3.63, 3.58, 3.53, 3.4, 3.17, 1.61, 1.57, 1.56, 1.65, 1.72, 
## 1.83, 2.18, 2.27, 2.33, 2.47, 2.54, 2.63, 2.71, 2.76, 2.87, 2.92, 
## 2.89, 2.86, 2.73, 2.64, 2.56, 2.47, 2.33, 2.19, 2.13, 1.87, 2.12, 
## 2.45, 2.62, 2.78, 3.05, 3.14, 3.13, 3.13, 3.12, 3.15, 3.21, 3.31, 
## 3.37, 3.46, 3.51, 3.52, 3.52, 3.53, 3.52, 3.52, 3.57, 3.56, 3.46, 
## 3.42, 3.45, 3.68, 3.94, 4.22, 4.37, 4.68, 4.77, 4.75, 4.68, 4.62, 
## 4.55, 4.45, 4.15, 4.01, 4.01, 4.04, 4.11, 4.11, 4.1, 4.09, 4.06, 
## 3.92, 3.89, 3.85, 3.8, 3.63, 3.51, 3.43, 3.43, 3.48, 3.55, 3.62, 
## 3.68, 3.68, 3.57, 3.48, 3.37, 3.34, 3.28, 3.28, 3.31, 3.36, 3.3, 
## 3.2, 3.16, 3.11, 2.93, 2.85, 2.77, 2.71, 2.46, 2.45, 2.4, 2.41, 
## 2.42, 2.46, 2.52, 3.44, 3.03, 2.91, 2.66, 2.55, 2.47, 2.02, 1.9, 
## 1.84, 1.8, 1.76, 1.71, 1.72, 1.73, 1.76, 1.77, 1.74, 1.66, 1.56, 
## 1.51, 1.59, 2.1, 2.26, 2.47, 2.59, 2.65, 2.73, 2.78, 2.82, 2.87, 
## 3.06, 3.12, 3.15, 3.2, 3.21, 3.19, 2.99, 2.87, 2.65, 2.6, 2.6, 
## 2.73, 2.77, 2.89, 2.96, 3.09, 3.16, 3.27, 3.3, 3.35, 3.39, 3.16, 
## 3.04, 2.92, 2.89, 2.9, 3, 3.26, 3.53, 3.63, 3.82, 4.03, 4.07, 
## 4.07, 3.96, 3.89, 3.54, 3.65, 3.67, 3.69, 3.7, 3.7, 3.59, 3.51, 
## 3.41, 3.31, 3.08, 3, 2.93, 2.85, 2.82, 2.81, 2.7, 2.65, 2.59, 
## 2.51, 3.49, 3.45, 3.39, 2.98, 2.88, 2.74, 2.56, 2.39, 2.36, 2.34, 
## 2.36, 2.45, 2.51, 2.52, 2.48, 2.44, 2.38, 2.3, 2.1, 2.29, 2.43, 
## 2.76, 3.27, 3.15, 3.07, 2.99, 2.85, 2.8, 2.8, 2.83, 2.92, 3.01, 
## 3.13, 3.13, 3.12, 3.12, 3.11, 3.07, 3.04, 2.97, 2.89, 2.65, 2.42, 
## 2, 1.79, 1.61, 1.43, 1.35, 1.25, 1.09, 0.98, 0.47, 0.35, 0.32, 
## 0.88, 1.03, 1.18, 1.41, 1.53, 1.73, 1.85, 1.98, 2.26, 2.58, 2.94, 
## 3.01, 3.01, 2.84, 2.29, 2.17, 1.94, 1.91, 1.98, 2.13, 2.37, 2.68, 
## 2.82, 2.92, 3.09, 3.65, 4.03, 4.39, 4.39, 4.08, 3.94, 3.53, 3.08, 
## 2.92, 2.93, 3.08, 3.27, 3.36, 3.55, 3.61, 3.65, 3.6, 3.39, 3.28, 
## 3.13, 2.84, 2.51, 2.42, 2.35, 2.25, 2.16, 2.05, 1.84, 1.76, 1.38, 
## 1.23, 1.15, 0.94, 0.94, 0.99, 1.15, 1.64, 1.75, 2.1, 2.7, 2.98, 
## 3.25, 3.08, 3.03, 2.95, 2.87, 2.72, 2.58, 2.56, 2.63, 2.73, 2.81, 
## 2.87, 2.93, 3, 3.08, 3.08, 3.1, 3.13, 3.51, 3.65, 3.93, 4.19, 
## 4.46, 4.4, 4.34, 4.26, 4.18, 4.07, 4.03, 4.08, 4.42, 4.55, 4.68, 
## 4.91, 5.01, 5.23, 5.28, 5.26, 5.16, 4.88, 4.53, 4.08, 3.92, 3.51, 
## 1.58, 1.74, 1.83, 1.93, 2.02, 2.24, 2.35, 2.43, 2.55, 2.6, 2.53, 
## 2.38, 2.32, 2.27, 2.23, 2.23, 2.31, 2.45, 2.64, 2.74, 2.88, 2.8, 
## 2.86, 2.94, 3.02, 3.11, 3.21, 3.34, 3.45, 3.52, 3.42, 3.3, 3.09, 
## 2.86, 2.65, 2.55, 2.2, 2.08, 1.96, 1.83, 1.56, 1.41, 1.25, 0.56, 
## 0.53, 0.56, 0.62, 0.66, 0.75, 1.08, 1.22, 1.48, 1.78, 2.09, 2.2, 
## 2.31, 2.85, 2.95, 3.07, 3.24, 3.29, 3.31, 3.28, 3.15, 2.71, 2.41, 
## 2.08, 2.07, 2.06, 2.07, 2.13, 2.17, 2.27, 2.31, 2.31, 2.31, 7.41, 
## 7.36, 7.24, 7.32, 7.36, 7.44, 7.44, 7.24, 7.14, 6.85, 6.69, 6.53, 
## 6.24, 5.75, 5.5, 5.12, 4.49, 4.47, 4.46, 4.46, 4.47, 4.53, 4.61, 
## 4.64, 4.67, 4.71, 4.78, 4.84, 4.89, 4.94, 5.12, 5.29, 5.6, 5.72, 
## 5.96, 6.05, 6.24, 6.3, 6.51, 6.52, 6.56, 6.61, 6.61, 6.56, 6.52, 
## 6.49, 6.39, 6.2, 6.07, 6.06, 6.17, 7.06, 7.41, 7.45, 7.6, 7.77, 
## 7.96, 8.08, 8.1, 8.1, 8.06, 7.91, 7.77, 7.63, 7.5, 7.39, 6.9, 
## 6.54, 6.07, 5.83, 5.73, 5.62, 5.43, 5.36, 5.36, 5.38, 5.49, 5.54, 
## 5.62, 5.82, 6.06, 6.1, 6.07, 6, 5.88, 5.86, 5.93, 6.18, 6.36, 
## 6.59, 6.68, 6.76, 6.63, 6.57, 6.37, 6.29, 6.27, 6.18, 6.2, 6.23, 
## 6.26, 6.26, 6.4, 6.5, 6.66, 6.81, 6.9, 6.91, 6.89, 6.84, 6.71, 
## 6.56, 6.54, 6.57, 6.38, 6.47, 6.58, 6.73, 7.01, 7.11, 7.25, 7.54, 
## 7.6, 7.5, 7.4, 7.17, 6.9, 6.67, 6.6, 6.58, 6.63, 6.7, 6.75, 6.78, 
## 6.83, 6.82, 6.96, 7.02, 7.06, 7.15, 7.13, 7.04, 7, 6.97, 6.89, 
## 6.81, 6.68, 6.61, 6.4, 6.23, 6.16, 5.98, 5.88, 5.82, 5.72, 5.71, 
## 5.71, 5.7, 5.71, 5.79, 5.83, 6.92, 6.87, 6.86, 6.77, 6.77, 6.81, 
## 6.91, 6.98, 7.02, 7.05, 7.1, 7.12, 7.09, 7.01, 6.99, 6.93, 6.91, 
## 6.84, 6.85, 6.89, 6.91, 6.94, 6.97, 7.1, 7.11, 7.09, 7.08, 7.02, 
## 6.95, 6.91, 6.85, 6.59, 6.53, 6.45, 6.12, 5.99, 5.84, 5.8, 5.85, 
## 5.88, 6.11, 6.16, 6.28, 6.34, 6.36, 6.31, 6.37, 6.51, 6.68, 6.73, 
## 6.77, 6.8, 6.76, 6.75, 6.76, 6.77, 6.83, 6.87, 6.93, 6.63, 6.5, 
## 6.36, 6.34, 6.26, 6.25, 6.23, 6.23, 6.17, 6.12, 5.75, 5.68, 5.7, 
## 6.01, 6.1, 6.17, 6.23, 6.27, 6.31, 6.3, 6.3, 6.25, 6.12, 6.06, 
## 6.01, 5.89, 5.88, 5.87, 5.92, 5.99, 6.18, 6.35, 6.47, 6.88, 7.13, 
## 7.21, 7.27, 7.27, 7.24, 6.29, 5.65, 5.49, 5.33, 5.23, 5.17, 5.42, 
## 5.52, 5.75, 5.95, 6.02, 6.07, 6.03, 6.03, 5.98, 5.96, 6, 6.03, 
## 6.12, 6.21, 6.27, 6.28, 6.32, 6.39, 6.5, 6.69, 6.86, 7.24, 7.43, 
## 8.1, 8.15, 8.2, 8.18, 8.16, 7.22, 7.11, 6.9, 6.81, 6.65, 6.6, 
## 6.37, 6.34, 6.31, 6.37, 6.41, 6.45, 6.57, 6.64, 6.71, 6.79, 6.26, 
## 6.23, 6.36, 6.56, 6.96, 7.09, 7.25, 7.38, 7.46, 7.38, 7.3, 7.04, 
## 6.87, 6.44, 6.21, 5.65, 5.61, 5.55, 5.5, 5.31, 5.3, 5.32, 5.37, 
## 5.4, 5.44, 5.53, 5.72, 5.86, 5.99, 6.01, 6.05, 6.13, 6.17, 6.3, 
## 6.8, 6.95, 6.93, 6.87, 6.73, 6.54, 6.7, 6.74, 6.74, 6.79, 7.16, 
## 7.14, 7.17, 7.17, 7.15, 7.03, 7.07, 7.11, 7.24, 7.25, 7.23, 6.8, 
## 6.64, 6.5, 6.32, 6.47, 6.88, 6.78, 6.69, 6.68, 6.64, 6.76, 6.91, 
## 7.06, 7.13, 7.3, 7.61, 7.85, 7.95, 8.11, 8.18, 8.22, 8.25, 8.26, 
## 8.18, 8.12, 7.86, 7.76, 7.7, 7.64, 7.58, 7.52, 6.93, 6.89, 6.84, 
## 6.44, 6.34, 6.24, 6.18, 6.14, 6.07, 6.03, 5.99, 6.11, 6.14, 6.13, 
## 6.07, 6.08, 6.15, 6.19, 6.25, 6.24, 6.23, 6.17, 6.14, 5.83, 5.73, 
## 5.66, 5.61, 5.56, 5.37, 5.34, 5.41, 5.51, 5.72, 5.82, 5.87, 6.01, 
## 6.01, 6.01, 6.01, 6.02, 6.02, 5.95, 5.9, 5.81, 5.74, 5.59, 5.48, 
## 5.46, 5.4, 5.31, 5.28, 5.27, 5.27, 5.32, 5.37, 5.47, 5.49, 5.42, 
## 5.33, 5.17, 5.09, 4.6, 4.42, 2.99, 2.83, 2.53, 2.29, 2.22, 2.21, 
## 2.07, 2.09, 2.03, 2.02, 2.08, 2.37, 2.71, 3.04, 3.05, 3.14, 4.28, 
## 4.12, 4, 3.9, 3.86, 3.91, 4.16, 5, 5.12, 5.16, 5.12, 5.05, 4.91, 
## 4.75, 4.57, 4.36, 3.9, 2.98, 2.8, 2.62, 2.48, 2.37, 2.28, 2.24, 
## 2.2, 2.21, 2.28, 2.42, 2.52, 2.63, 2.74, 2.87, 3, 3.17, 4.03, 
## 4.23, 4.46, 4.95, 5.18, 2.89, 2.09, 1.88, 1.81, 2.19, 2.64, 3.42, 
## 4.4, 5.32, 5.87, 6.03, 6.14, 5.97, 5.81, 5.67, 5.49, 4.81, 4.38, 
## 3.94, 3.75, 3.59, 3.23, 3.24, 3.3, 3.74, 4.01, 4.5, 4.71, 4.92, 
## 5.28, 5.53, 5.35, 5.24, 5.1, 4.83, 4.7, 4.33, 3.91, 3.71, 3.54, 
## 3.54, 3.58, 3.63, 3.71, 4.17, 4.8, 4.92, 5.19, 5.55, 5.85, 5.97, 
## 6, 5.78, 5.34, 5.27, 5.22, 5.17, 5.09, 4.98, 4.68, 4.52, 3.81, 
## 1.46, 1.39, 1.34, 1.38, 1.63, 2.55, 3.8, 4.28, 5.31, 6, 6.21, 
## 6.5, 6.64, 6.67, 6.65, 6.59, 6.53, 6.52, 6.52, 6.33, 6.04, 5.86, 
## 5.65, 5.45, 4.97, 4.77, 4.84, 5.27, 5.53, 5.61, 5.48, 5.35, 5.23, 
## 4.26, 3.39, 3.18, 3.02, 2.87, 2.74, 2.63, 2.57, 2.63, 2.97, 3.35, 
## 3.94, 4.36, 4.64, 4.87, 5.4, 5.88, 6.23, 6.32, 6.36, 6.3, 6.01, 
## 5.65, 5.45, 5.27, 5.09, 4.94, 4.37, 4.12, 4.03, 3.88, 3.79, 3.62, 
## 3.61, 3.67, 3.75, 3.86, 4.5, 4.65, 4.82, 5.24, 5.15, 4.29, 3.41, 
## 3.15, 2.77, 2.62, 2.47, 2.35, 1.8, 1.74, 2.04, 2.45, 3.6, 3.79, 
## 4.18, 4.36, 4.5, 4.92, 4.94, 4.9, 4.4, 3.95, 3.64, 3.33, 3.05, 
## 2.78, 1.94, 1.17, 0.83, 0.62, 0.73, 0.91, 1.84, 2.73, 3.73, 4.3, 
## 4.61, 4.91, 5.56, 5.46, 5.35, 3.66, 3.71, 3.75, 3.78, 3.78, 3.85, 
## 4.03, 4.39, 5.58, 6.01, 5.79, 5.56, 4.76, 3.43, 2.94, 2.72, 2.78, 
## 2.91, 3.55, 4.26, 4.46, 5.04, 5.22, 5.36, 5.5, 5.52, 5.24, 4.84, 
## 4.43, 3.98, 3.67, 3.46, 3.38, 3.18, 3.08, 2.94, 2.95, 3.1, 3.39, 
## 2.88, 3.07, 3.34, 3.51, 3.57, 3.61, 3.59, 2.65, 2.28, 1.95, 1.48, 
## 1.39, 1.4, 1.46, 1.55, 1.81, 2.01, 2.21, 2.41, 2.63, 3.5, 3.71, 
## 4.56, 4.78, 4.95, 5.38, 5.62, 6.62, 6.75, 6.81, 6.8, 6.16, 5.8, 
## 4.97, 4.41, 4.29, 4.35, 4.45, 4.53, 4.62, 4.76, 5, 5.11, 5.22, 
## 5.26, 5.3, 5.33, 5.39, 5.39, 5.32, 4.76, 4.51, 3.78, 3.37, 2.7, 
## 1.81, 1.58, 0.69, 0.55, 0.44, 0.33, 0.29, 0.38, 0.86, 1.09, 1.59, 
## 2.75, 3.06, 3.38, 3.98, 4.56, 5, 4.86, 4.48, 4.69, 4.42, 4.38, 
## 4.39, 4.48, 4.56, 4.64, 4.71, 5.01, 5.07, 5.18, 5.25, 5.27, 5.28, 
## 5.26, 5.26, 5.25, 5.21, 5.18, 5.14, 5.13, 5.09, 5.14, 5.18, 5.21, 
## 5.33, 5.4, 5.53, 7.46, 7.29, 7.19, -43.9, -44, -44.1, -44.2, 
## -44.3, -44.4, -44.5, -44.5, -44.7, -44.7, -44.3, -44.1, -44, 
## -43.9, -43.9, -43.8, -43.7, -43.6, -43.6, -43.3, -43.3, -43.4, 
## -43.4, -43.4, -43.4, -43.3, -43.3, -43.2, -43.2, -43.3, -43.4, 
## -43.5, -43.4, -43.4, -43.3, -43.3, -43.5, -43.5, -43.5, -43.5, 
## -43.5, -43.5, -43.5, -43.5, -43.4, -43.3, -43.2, -43.1, -43, 
## -43, -42.9, -42.8, -42.8, -42.8, -42.8, -42.9, -42.9, -42.9, 
## -42.9, -43, -43, -43, -43, -43.1, -43.1, -43.1, -43.1, -43.1, 
## -43.1, -43.1, -43.1, -43.1, -43.1, -43, -43.1, -43.1, -43.2, 
## -43.3, -43.3, -43.3, -43.2, -43.1, -43, -43.1, -43.1, -43.1, 
## -43.1, -43.1, -43.1, -43.1, -43.2, -43.3, -43.4, -43.3, -43.3, 
## -43.2, -43.2, -43.2, -43.2, -43.3, -43.3, -43.3, -43.4, -43.5, 
## -43.6, -43.6, -43.5, -43.6, -43.8, -43.8, -43.8, -43.8, -43.7, 
## -43.5, -43.5, -43.4, -43.4, -43.2, -43.2, -43.3, -43.4, -43.4, 
## -43.4, -43.4, -43.4, -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, 
## -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, 
## -43.3, -43.2, -43.2, -43.2, -43.5, -43.5, -43.5, -43.5, -43.5, 
## -43.5, -43.5, -43.5, -43.6, -43.7, -43.8, -43.8, -43.9, -44, 
## -44, -43.9, -43.7, -43.7, -43.6, -43.5, -43.5, -43.4, -43.3, 
## -43.3, -43.3, -43.3, -43.3, -43.4, -43.4, -43.4, -43.5, -43.7, 
## -43.6, -43.6, -43.6, -43.7, -43.8, -43.7, -43.7, -43.6, -43.6, 
## -43.6, -43.7, -43.7, -43.7, -43.7, -43.7, -43.8, -43.8, -43.8, 
## -43.9, -43.9, -43.9, -43.9, -43.9, -43.7, -43.7, -43.6, -43.5, 
## -43.5, -43.5, -43.5, -43.4, -43.4, -43.3, -43.3, -43.3, -43.3, 
## -43.3, -43.3, -43.4, -43.4, -43.4, -43.5, -43.5, -43.5, -43.6, 
## -43.7, -43.7, -43.7, -43.7, -43.6, -43.6, -43.5, -43.5, -43.5, 
## -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, -43.4, -43.4, -43.4, 
## -43.3, -43.3, -43.4, -43.4, -43.4, -43.3, -43.3, -43.3, -43.3, 
## -43.2, -43.2, -43.3, -43.3, -43.3, -43.3, -43.3, -43.3, -43.4, 
## -43.4, -43.3, -43.4, -43.5, -43.5, -43.5, -43.6, -43.5, -43.6, 
## -43.7, -43.7, -43.7, -43.7, -43.7, -43.8, -43.8, -43.8, -43.8, 
## -43.8, -43.8, -43.8, -43.7, -43.7, -43.7, -43.7, -43.7, -43.8, 
## -43.8, -43.9, -43.8, -43.8, -43.8, -43.8, -43.7, -43.7, -43.6, 
## -43.5, -43.5, -43.5, -43.7, -43.7, -43.8, -43.8, -43.8, -43.8, 
## -43.4, -43.3, -43.2, -43.2, -43.2, -43.2, -43.2, -43.3, -43.3, 
## -43.3, -43.3, -43.3, -43.4, -43.4, -43.4, -43.4, -43.4, -43.5, 
## -43.5, -43.6, -43.6, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, 
## -43.8, -43.9, -43.9, -44, -44, -44.2, -44.2, -44.3, -44.3, -44.3, 
## -44.3, -44.3, -44.3, -44.3, -44.3, -44.3, -44.3, -44.3, -44.3, 
## -44.3, -44.4, -44.4, -44.5, -44.6, -44.6, -44.7, -44.7, -44.7, 
## -44.7, -44.6, -44.7, -44.7, -44.6, -44.6, -44.5, -44.5, -44.5, 
## -44.4, -44.4, -44.4, -44.3, -44.3, -44.6, -44.7, -44.7, -44.7, 
## -44.6, -44.5, -44.5, -44.1, -43.9, -43.8, -43.8, -43.7, -43.6, 
## -43.6, -43.5, -43.5, -43.5, -43.5, -43.6, -43.6, -43.6, -43.6, 
## -43.6, -43.7, -43.8, -43.8, -43.8, -43.9, -44, -44, -44, -44, 
## -44.1, -44.2, -44.3, -44.4, -44.4, -44.5, -44.6, -44.6, -44.6, 
## -44.5, -44.4, -44.3, -44.2, -44.3, -44.3, -44.5, -44.8, -44.9, 
## -45.1, -45.3, -45.5, -46.2, -46.5, -46.9, -47.3, -47.7, -48.3, 
## -48.6, -48.8, -49.1, -50.4, -50.6, -50.7, -50.9, -51, -51.3, 
## -51.4, -51.5, -51.6, -51.7, -51.8, -51.8, -51.9, -51.9, -52, 
## -52, -52, -52.1, -52.1, -52.1, -52, -52, -52, -51.9, -51.8, -51.8, 
## -51.8, -51.7, -51.6, -51.3, -49.9, -49.5, -48.9, -48.6, -48.2, 
## -47.8, -47.5, -47.3, -47.2, -46.7, -46.6, -46.4, -46, -45.6, 
## -45.1, -44.7, -43.6, -43, -42.2, -42, -41.5, -41.5, -41.4, -41.4, 
## -41.3, -41.4, -41.5, -41.6, -41.8, -42.3, -42.7, -42.8, -43, 
## -43.1, -43.3, -43.4, -43.6, -43.7, -43.9, -44, -44.3, -44.6, 
## -44.6, -44.7, -44.7, -44.8, -44.8, -44.6, -44.5, -43.7, -43.7, 
## -43.7, -43.7, -43.7, -43.7, -43.8, -43.8, -43.9, -43.9, -43.9, 
## -44, -44.1, -44.2, -44.2, -44.1, -44, -44, -43.9, -43.9, -43.8, 
## -43.7, -43.7, -43.6, -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, 
## -43.5, -43.6, -43.8, -43.8, -43.8, -43.7, -43.6, -43.4, -43.3, 
## -43.4, -43.4, -43.5, -43.5, -43.4, -43.4, -43.4, -43.5, -43.5, 
## -43.6, -43.6, -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.6, 
## -43.6, -43.6, -43.6, -43.5, -43.5, -43.4, -43.4, -43.4, -43.4, 
## -43.4, -43.4, -43.4, -43.5, -43.5, -43.5, -43.5, -43.5, -43.5, 
## -43.4, -43.4, -43.3, -43.4, -43.4, -43.4, -43.4, -43.4, -43.4, 
## -43.5, -43.5, -43.5, -43.6, -43.6, -43.6, -43.6, -43.6, -43.6, 
## -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.8, -43.8, -43.8, 
## -43.8, -43.7, -43.7, -43.7, -43.6, -43.6, -43.6, -43.7, -43.7, 
## -43.7, -43.7, -43.6, -43.3, -43.2, -42.8, -42.8, -42.8, -42.8, 
## -42.8, -42.8, -42.7, -42.6, -42.6, -42.6, -42.6, -42.6, -42.6, 
## -42.8, -42.9, -43, -43, -43, -43, -44, -44, -43.9, -43.9, -44, 
## -44.2, -44.4, -44.5, -44.6, -44.6, -44.5, -44.3, -44.2, -44.1, 
## -43.8, -43.7, -43.5, -43.1, -43, -42.8, -42.7, -42.7, -42.6, 
## -42.6, -42.6, -42.7, -42.8, -42.9, -42.9, 16.7, 16.7, 16.7, 16.6, 
## 16.5, 16.4, 16.4, 16.4, 16.4, 16.3, 16.3, 16.4, 16.4, 16.5, 16.7, 
## 16.9, 17.3, 17.7, 17.7, 17.8, 17.9, 18, 19, 19, 18.9, 18.8, 18.8, 
## 18.5, 18.4, 18.3, 18.2, 18.2, 18.2, 18.3, 18.5, 18.5, 18.5, 18.5, 
## 18.6, 18.6, 18.6, 18.5, 18.4, 18.3, 18.3, 18.2, 18.2, 18.1, 18, 
## 18, 17.9, 17.9, 17.7, 17.6, 17.5, 17.3, 17.3, 17.2, 17.2, 17.1, 
## 17.1, 17.1, 17.3, 17.4, 17.5, 17.6, 17.9, 18.2, 18.3, 18.4, 18.4, 
## 18.5, 18.5, 18.6, 18.6, 18.7, 18.7, 18.9, 18.9, 18.9, 19, 19.1, 
## 19.1, 19.1, 19, 19, 18.9, 18.8, 18.8, 18.8, 18.8, 18.8, 18.8, 
## 18.7, 18.7, 18.6, 18.5, 18.5, 18.5, 18.5, 18.5, 18.5, 18.5, 18.4, 
## 18.4, 18.3, 18.1, 18.1, 18, 17.9, 17.9, 17.9, 18, 18.2, 18.1, 
## 18.1, 18.1, 18.1, 18, 17.9, 17.8, 17.7, 17.6, 17.5, 17.5, 17.4, 
## 17.4, 17.2, 17.1, 17.1, 17.1, 17.1, 17.1, 17.1, 17.1, 17.2, 17.2, 
## 17.2, 17.4, 17.5, 17.6, 17.7, 17.8, 17.9, 18, 18, 18.1, 18.1, 
## 18, 18, 18.1, 18.1, 18.2, 18.2, 18.2, 18.3, 18.3, 18.3, 18.3, 
## 18.3, 18.3, 18.2, 18.2, 18.1, 18.1, 18.1, 18, 18, 18.1, 18.1, 
## 18.1, 18, 17.8, 17.7, 17.7, 17.6, 17.6, 17.6, 17.5, 17.5, 17.5, 
## 17.5, 17.5, 17.5, 17.5, 17.5, 17.4, 17.4, 17.5, 17.5, 17.5, 16.6, 
## 16.6, 16.8, 17, 17.1, 17.3, 17.6, 17.8, 17.9, 18.2, 18.2, 18.3, 
## 18.4, 18.4, 18.4, 18.4, 18.3, 18.1, 18.1, 18, 18, 18, 17.9, 17.8, 
## 17.8, 17, 17.1, 17.2, 17.2, 17.2, 17, 16.9, 16.6, 16.6, 16.6, 
## 16.5, 16.5, 16.5, 16.4, 16.4, 16.3, 16.3, 16.3, 16.2, 16.2, 16.2, 
## 16.2, 16.3, 16.3, 16.4, 16.6, 16.6, 16.6, 16.7, 16.8, 16.8, 16.8, 
## 16.9, 16.9, 17, 17, 17, 17, 17, 17, 17.1, 17.2, 17.2, 17.2, 17.2, 
## 17.2, 17.2, 17.2, 17.2, 17.2, 17.2, 17.2, 17.2, 17.2, 17.1, 17.1, 
## 17.1, 17.1, 17.1, 17.1, 17.2, 17.1, 17, 16.9, 16.7, 16.8, 17.1, 
## 17.1, 17.2, 17.2, 17.2, 17.2, 17.2, 17.2, 17.2, 17.1, 17.1, 17.1, 
## 17.1, 17, 17, 17, 17, 17, 16.9, 16.8, 16.8, 16.7, 16.6, 16.6, 
## 16.4, 16.3, 16.2, 16.2, 16.3, 16.3, 16.4, 16.5, 16.5, 16.7, 16.8, 
## 16.8, 17, 17, 17, 17, 17, 17, 16.9, 17, 17, 16.9, 16.9, 16.9, 
## 16.9, 16.9, 17.1, 17.2, 17.2, 17.2, 17.2, 17.2, 17.1, 17.1, 16.9, 
## 16.9, 16.8, 16.8, 16.8, 16.9, 16.9, 16.9, 16.9, 16.9, 16.9, 16.9, 
## 16.8, 16.7, 16.7, 16.6, 16.6, 16.5, 16.5, 16.5, 16.6, 16.6, 16.6, 
## 16.7, 16.8, 17, 17, 17.1, 17.1, 17.1, 17.1, 17.1, 17, 17, 17, 
## 17, 17, 17, 16.9, 16.8, 16.6, 16.5, 16.5, 16.4, 16.4, 16.3, 16.2, 
## 16, 16, 15.9, 16, 16.4, 16.5, 16.8, 16.8, 17, 17, 17.1, 17.1, 
## 17.1, 17.1, 17.1, 17.1, 16, 15.9, 15.8, 15.7, 15.5, 15.5, 15.4, 
## 15.5, 15.5, 15.6, 15.7, 15.8, 15.8, 15.9, 15.9, 15.9, 15.9, 16, 
## 16.1, 16.2, 16.2, 16.2, 16.3, 16.3, 16.3, 16.4, 16.4, 16.4, 16.3, 
## 16.2, 16.2, 16.1, 15.9, 15.8, 15.5, 15.4, 15.3, 15.2, 15, 15.3, 
## 15.4, 15.5, 15.7, 16.1, 16.1, 16.1, 16.2, 16.2, 16.2, 16.2, 16.2, 
## 16.2, 16.2, 16.3, 16.3, 16.3, 16.3, 16.4, 16.4, 16.4, 16.5, 16.5, 
## 16.5, 16.5, 16.5, 16.4, 16.4, 16.4, 16.4, 16.5, 16.8, 16.8, 16.8, 
## 16.7, 16.6, 16.5, 16.4, 15.9, 15.8, 15.7, 15.6, 15.6, 15.5, 15.6, 
## 15.6, 15.6, 15.6, 15.6, 15.6, 15.6, 15.6, 15.5, 15.4, 15.4, 15.3, 
## 15.2, 15.2, 15.3, 15.4, 15.7, 15.8, 15.9, 15.9, 16, 16, 16, 16.1, 
## 16.2, 16.2, 16.3, 16.3, 16.3, 16.2, 16.1, 16.1, 15.9, 15.9, 15.9, 
## 15.9, 15.9, 15.9, 15.9, 15.9, 15.9, 15.9, 15.9, 15.9, 15.8, 15.8, 
## 15.7, 15.6, 15.5, 15.4, 15.3, 15.2, 15.2, 15.3, 15.5, 15.5, 15.5, 
## 15.5, 15.5, 15.5, 15.5, 15.5, 15.5, 15.4, 15.4, 15.4, 15.4, 15.3, 
## 15.2, 14.9, 14.8, 14.6, 14.5, 14.4, 14.2, 14.2, 14.1, 14.2, 14.3, 
## 14.4, 14.5, 14.6, 14.6, 14.7, 14.9, 14.9, 15, 15.2, 15.7, 15.8, 
## 15.9, 16, 16.1, 16.4, 16.3, 16.3, 16.3, 16.3, 16.3, 16.2, 16.2, 
## 16.2, 16.1, 16.1, 16.1, 16.2, 16.2, 16.3, 16.3, 16.3, 16.3, 16.3, 
## 16.3, 16.2, 16.2, 16.2, 16.1, 15.9, 15.9, 15.9, 15.9, 15.8, 15.8, 
## 15.8, 15.8, 15.8, 16, 16, 16, 16, 16, 15.9, 15.8, 15.8, 15.9, 
## 15.8, 15.8, 15.7, 15.6, 15.6, 15.6, 15.5, 15.5, 15.4, 15.3, 15.2, 
## 15.2, 15.1, 15.1, 15, 14.9, -44.5, -44.5, -44.4, -44.2, -44.1, 
## -43, -43, -43.1, -43.1, -43.1, -43.1, -43.2, -43.2, -43.1, -43.1, 
## -43, -42.9, -42.9, -42.9, -42.8, -42.8, -42.7, -42.7, -42.7, 
## -42.7, -42.8, -43, -43.1, -43.1, -43.2, -43.3, -43.4, -43.6, 
## -43.7, -43.8, -43.9, -44, -44, -44, -44, -44, -43.9, -43.9, -43.9, 
## -43.8, -43.8, -43.5, -43.5, -43.4, -43.4, -43.4, -43.4, -43.4, 
## -43.4, -43.4, -43.4, -43.5, -43.5, -43.6, -43.6, -43.7, -43.8, 
## -43.8, -43.9, -43.9, -43.9, -43.8, -43.8, -43.8, -43.8, -43.7, 
## -43.7, -43.7, -43.8, -43.7, -43.7, -43.6, -43.6, -43.7, -43.7, 
## -43.7, -43.7, -43.8, -43.8, -43.8, -43.8, -43.7, -43.7, -43.7, 
## -43.7, -43.7, -43.8, -43.9, -43.9, -44.1, -44.1, -43.9, -43.9, 
## -43.9, -43.9, 16.5, 16.5, 16.5, 16.5, 16.3, 16.2, 16.1, 16.1, 
## 15.9, 15.9, 15.9, 15.9, 16.1, 16.2, 16.3, 16.4, 16.5, 16.7, 16.7, 
## 16.7, 16.8, 17.1, 17.1, 17.1, 17.1, 17.1, 17.1, 17, 17, 17, 17, 
## 17, 16.9, 16.9, 16.8, 16.8, 16.7, 16.6, 16.6, 16.6, 16.5, 16.5, 
## 16.4, 16.4, 16.3, 16.2, 17.7, 17.5, 17.5, 17.3, 17.3, 17.2, 17.2, 
## 17.1, 16.9, 16.9, 16.9, 16.9, 16.9, 16.9, 16.9, 16.9, 16.9, 16.9, 
## 17, 17.5, 17.5, 17.5, 17.5, 17.6, 17.6, 17.6, 17.6, 17.6, 17.6, 
## 17.5, 17.4, 17.2, 17.1, 16.9, 16.6, 16.5, 16.5, 16.5, 16.5, 16.5, 
## 16.4, 16.5, 18, 18, 18, 18, 18.1, 18.2, 18.2, 18.5, 18.7, 18.8, 
## 18.9, 18.9, 19, 19.1, 19.2, 19, 19.1, 19.1, 19.1, 19.1, 5.52, 
## 5.52, 5.52, 5.54, 5.56, 5.5, 5.44, 5.36, 5.32, 5.2, 5.22, 5.24, 
## 5.52, 5.79, 6.52, 6.73, 6.92, 7.43, 7.52, 7.55, 3.97, 3.45, 3.01, 
## 2.74, 2.63, 2.57, 2.62, 2.71, 3.13, 3.24, 3.36, 3.56, 3.77, 4.02, 
## 4.27, 4.7, 5.16, 5.28, 5.38, 5.49, 5.58, 5.81, 5.92, 6.03, 6.19, 
## 6.08, 5.93, 5.39, 5.19, 4.74, 4.17, 3.91, 3.9, 3.91, 3.93, 3.99, 
## 4.29, 4.53, 5.48, 5.82, 6.13, 7.1, 7.62, 7.87, 8.09, 8.45, 8.63, 
## 8.48, 7.06, 6.4, 6.14, 5.63, 4.83, 4.51, 4.21, 3.79, 3.64, 3.42, 
## 3.29, 3.07, 3.07, 3.43, 3.56, 3.69, 4.19, 4.39, 4.72, 4.84, 4.98, 
## 4.69, 4.19, 3.91, 3.61, 2.75, 2.5, 2.3, 1.94, 1.78, 1.67, 5.82, 
## 6.16, 6.32, 6.26, 6.17, 6.07, 5.84, 5.66, 5.43, 5.17, 4.65, 4.41, 
## 4.17, 3.85, 3.7, 4.21, 4.34, 4.36, 4.39, 4.52, 4.79, 5.11, 5.19, 
## 5.33, 5.23, 4.93, 4.72, 4.24, 3.58, 3.38, 2.4, 2.6, 2.7, 2.93, 
## 3.01, 3.13, 3.06, 2.89, 2.79, 2.68, 2.61, 2.41, 2.4, 2.45, 2.52, 
## 2.59, 2.73, 2.79, 2.93, 3.06, 3.18, 3.26, 3.26, 3.24, 3.24, 3.21, 
## 3.18, 3.08, 2.81, 2.74, 2.65, 2.23, 2.08, 2.18, 2.34, 2.65, 2.73, 
## 2.8, 2.87, 2.94, 3.11, 3.16, 3.22, 3.26, 3.31, 3.28, 3.18, 2.7, 
## 2.51, 2.34, 1.82, 1.66, 1.58, 1.57, 2.32, 2.25, 1.88, 1.79, 1.71, 
## 1.64, 1.54, 1.56, 1.63, 1.72, 1.99, 2.11, 2.35, 2.38, 2.45, 2.47, 
## 2.54, 2.63, 2.88, 3.48, 3.48, 2.71, 2.91, 3.13, 3.26, 3.27, 3.25, 
## 3.25, 3.28, 3.33, 3.38, 3.41, 3.46, 3.59, 3.62, 3.59, 3.3, 3.07, 
## 2.95, 2.92, 2.93, 3.03, 3.1, 3.24, 3.31, 3.42, 3.54, 3.57, 3.92, 
## 3.96, 4.05, 4.09, 4.02, 3.86, 3.77, 3.64, 3.54, 3.14, 3.09, 3.08, 
## 3.01, 2.87, 2.79, 2.7, 2.65, 2.52, 2.19, 1.85, 2.99, 3.02, 3.15, 
## 3.58, 3.85, 3.9, 3.97, 4, 4.03, 4.08, 4.12, 4.18, 4.26, 4.47, 
## 4.51, 4.5, 4.49, 4.34, 4.16, 4.07, 3.95, 25.5, 25.9, 26, 26.1, 
## 26.2, 26.2, 26.3, 26.3, 26.3, 26.3, 26.4, 26.4, 26.4, 26.4, 26.4, 
## 26.4, 26.4, 26.2, 26.2, 26.2, 26.2, 26.3, 26.4, 26.6, 26.6, 26.7, 
## 26.9, 27.3, 27.4, 26.3, 26.5, 26.6, 27.6, 27.7, 27.8, 28, 28.1, 
## 28.2, 27.9, 27.7, 27.6, 27.3, 27, 26.8, 26.5, 26.5, 26.4, 26.7, 
## 26.7, 26.7, 26.7, 26.9, 26.9, 27.1, 27.1, 27.1, 27.1, 27, 26.9, 
## 26.7, 26.7, 26.6, 26.6, 26.5, 4.73, 4.77, 3.17, 3.27, 3.54, 3.84, 
## 3.9, 3.97, 4.06, 4.16, 4.34, 4.41, 4.43, 4.46, 4.46, 4.51, 4.57, 
## 4.58, 4.63, 4.68, 7.62, 7.96, 8.11, 8.35, 8.55, 8.62, 8.66, 8.72, 
## 8.71, 8.65, 8.46, 8.34, 8.17, 7.83, 7.71, 7.63, 7.58, 7.47, 7.32, 
## 7.28, 7.24, 7.25, 7.23, 7.16, 7.13, 5.8, 5.68, 5.72, 5.76, 5.79, 
## 5.82, 5.95, 6.01, 6.01, 6.01, 5.99, 6, 6.02, 6.3, 6.09, 5.96, 
## 5.85, 5.72, 5.66, 5.67, 5.76, 5.92, 6.95, 6.94, 6.93, 6.94, 6.89, 
## 6.83, 6.72, 6.64, 6.59, 6.6, 6.62, 6.63, 6.67, 6.76, 6.78, 6.79, 
## 6.78, 6.75, 6.57, 6.42, 6.39, 6.39, 6.34, 6.25, 5.98, 5.89, 5.57, 
## 5.5, 5.31, 5.23, 5.05, 5, 5, 5.05, 5.26, 5.45, 5.53, 5.49, 5.46, 
## 5.38, 5.35, 5.38, 5.5, 5.52, 5.59, 5.89, 6.04, 6.35, 6.37, 6.37, 
## 6.36, 6.35, 6.34, 6.37, 6.38, 6.41, 6.44, 6.45, 6.45, 6.47, 6.49, 
## 6.67, 6.65, 6.52, 6.27, 6.11, 5.76, 5.53, 5.43, 5.79, 5.77, 6, 
## 6.27, 6.55, 6.64, 6.72, 6.79, 6.77, 6.8, 6.78, 6.72, 6.65, 6.58, 
## 6.49, 6.29, 6.07, 5.81, 5.72, 5.67, 5.61, 5.64, 5.7, 5.75, 5.9, 
## 6.09, 6.14, 6.21, 5.85, 5.91, 6.03, 6.06, 6.01, 5.96, 5.87, 5.96, 
## 6.03, 6.07, 6.14, 6.22, 6.32, 6.43, 6.58, 7.07, 7.4, 7.56, 7.63, 
## 7.64, 7.64, 7.63, 7.6, 7.43, 7.27, 7.17, 6.26, 6.18, 6.07, 6.01, 
## 5.94, 5.91, 5.9, 5.94, 5.91, 5.89, 5.87, 5.83, 5.79, 5.8, 6.02, 
## 6.29, 6.32, 6.36, 6.42, 6.47, 6.46, 6.48, 6.43, 6.37, 6.38, 24.8, 
## 24.7, 24.7, 25.1, 25.2, 25.2, 25.3, 25.4, 25.6, 25.6, 25.7, 25.7, 
## 25.7, 25.7, 25.7, 25.8, 25.8, 25.8, 25.8, 25.9, 25.9, 25.9, 26, 
## 26.1, 26.1, 26.1, 26.1, 26.1, 26.2, 26.2, 26.2, 26.2, 26.2, 26.2, 
## 26.1, 26, 26, 26, 26, 26, 25.9, 26, 26.1, 26.1, 26, 26, 25.9, 
## 25.8, 25.8, 25.8, 25.8, 25.8, 25.9, 25.8, 25.7, 25.6, 25.5, 25.5, 
## 25.5, 25.6, 25.6, 25.5, 25.4, 25.4, 25.3, 25.3, 25.3, 25.2, 25.2, 
## 25.1, 25.1, 25.1, 25.2, 25.5, 25.6, 25.8, 25.9, 25.9, 25.9, 25.9, 
## 25.9, 25.8, 25.8, 25.9, 25.9, 25.9, 25.8, 25.8, 25.8, 25.7, 25.7, 
## 25.7, 25.7, 25.7, 25.7, 25.8, 25.9, 25.9, 25.8, 25.8, 25.8, 25.8, 
## 25.8, 25.9, 25.9, 25.9, 25.8, 25.8, 25.8, 25.7, 25.7, 25.8, 25.8, 
## 25.8, 25.7, 25.6, 25.5, 25.6, 25.6, 25.3, 25.2, 25.1, 25.2, 25.2, 
## 25.2, 25.3, 25.4, 25.5, 25.6, 25.7, 25.8, 25.9, 25, 25, 25.1, 
## 25.1, 25.1, 25.1, 25.2, 25.2, 25.2, 25.2, 25.3, 25.2, 25.3, 25.3, 
## 25.3, 25.3, 25.3, 25.3, 25.3, 25.3, 25.3, 25.3, 25.7, 25.7, 25.8, 
## 25.8, 25.4, 25.5, 25.5, 25.6, 25.6, 25.7, 25.8, 25.9, 25.9, 26, 
## 26, 26.1, 26, 26, 26, 26.1, 26.1, 26.1, 26, 26, 25.9, 25.9, 25.8, 
## 25.9, 25.9, 25.9, 25.9, 26, 26, 26, 26, 26, 25.9, 25.9, 25.8, 
## 25.7, 25.7, 25.7, 25.8, 25.8, 25.8, 25.7, 25.7, 25.6, 25.5, 25.4, 
## 25.5, 25.6, 25.8, 25.8, 25.8, 25.8, 25.6, 25.5, 25.4, 25.4, 25.3, 
## 25.3, 25.2, 25.3, 25.5, 25.6, 25.7, 25.8, 25.8, 25.8, 25.8, 25.8, 
## 25.8, 25.9, 25.8, 25.8, 25.8, 25.8, 25.7, 25.7, 25.6, 25.6, 25.6, 
## 25.6, 25.6, 25.6, 25.7, 25.6, 25.7, 25.6, 25.6, 25.5, 24.9, 24.9, 
## 24.7, 24.5, 24.5, 24.4, 24.4, 24.3, 24.4, 24.4, 24.5, 24.5, 24.8, 
## 24.8, 24.9, 25, 25, 25.1, 25.1, 25, 25, 25, 24.9, 25, 25, 25, 
## 25, 25, 25, 25, 24.9, 24.9, 25, 25.2, 25.2, 25.2, 25.2, 25.1, 
## 25.1, 24.6, 24.5, 24.4, 24.4, 24.5, 24.6, 24.8, 24.8, 24.7, 24.7, 
## 24.7, 24.7, 24.7, 24.7, 24.6, 24.6, 24.4, 24.4, 24.5, 24.5, 24.6, 
## 24.7, 24.8, 24.9, 25.1, 25.3, 25.2, 25.3, 25.2, 25.2, 25.1, 25.1, 
## 25.1, 25, 25.1, 25.1, 25.1, 25.2, 25.2, 25.1, 25.1, 25, 24.9, 
## 24.9, 24.8, 24.8, 24.8, 24.9, 25, 25, 25, 24.9, 24.9, 24.9, 24.9, 
## 24.8, 24.8, 24.7, 24.6, 24.7, 24.7, 24.7, 24.7, 24.7, 24.8, 25, 
## 25.1, 25.2, 25.4, 25.4, 25.5, 25.5, 25.5, 25.5, 25.5, 25.4, 25.4, 
## 25.4, 25.4, 25.4, 25.3, 25.3, 25.3, 25.3, 25.3, 25.3, 25.3, 25.3, 
## 25.2, 25.2, 25.1, 25.1, 25.2, 25.2, 25.2, 25.2, 25.2, 3.59, 4.29, 
## 4.56, 4.64, 4.63, 4.56, 4.51, 4.28, 4.24, 4.17, 4.24, 4.16, 4.08, 
## 3.84, 3.8, 3.73, 3.59, 3.54, 3.48, 3.41, 3.35, 3.26, 3.12, 3.06, 
## 2.97, 2.95, 2.91, 2.88, 2.84, 2.79, 2.75, 2.68, 2.66, 2.81, 2.85, 
## 2.88, 2.91, 2.93, 2.96, 3, 3.1, 3.16, 3.24, 3.34, 3.55, 3.58, 
## 3.63, 3.62, 3.54, 3.63, 3.82, 3.93, 3.89, 3.76, 3.5, 3.37, 3.21, 
## 2.92, 2.82, 2.69, 2.26, 2.13, 2.08, 2.06, 2.01, 2.02, 2.02, 2.06, 
## 2.09, 2.34, 2.3, 2.27, 2.24, 1.81, 1.75, 1.83, 1.9, 1.96, 2.03, 
## 2.15, 2.18, 2.17, 2.18, 2.19, 2.2, 2.2, 2.2, 2.36, 2.43, 2.78, 
## 2.93, 2.99, 3, 2.96, 2.8, 2.78, 2.83, 2.94, 3.18, 3.34, 3.37, 
## 3.44, 3.36, 3.29, 3.23, 3.18, 2.99, 2.93, 2.79, 2.71, 2.55, 2.5, 
## 2.47, 2.67, 2.74, 2.81, 2.98, 3.05, 3.04, 3.04, 3.03, 2.77, 2.29, 
## 2.21, 2.16, 2.14, 2.11, 2.06, 2.02, 1.99, 1.96, 1.91, 1.87, 1.93, 
## 1.97, 2.01, 2.08, 2.25, 2.34, 2.4, 2.5, 2.56, 2.6, 2.64, 2.64, 
## 2.59, 2.51, 2.5, 2.54, 2.59, 2.65, 2.73, 2.81, 2.96, 3.02, 3.15, 
## 3.22, 3.2, 3.05, 2.93, 2.47, 2.32, 2.16, 2, 1.77, 1.71, 1.71, 
## 1.72, 1.8, 1.81, 1.86, 1.92, 1.95, 2.08, 2.07, 2.01, 1.95, 1.72, 
## 1.45, 4.44, 4.45, 4.45, 4.39, 4.09, 3.66, 2.92, 2.45, 2.35, 2.5, 
## 2.53, 2.54, 2.31, 2.24, 2.25, 2.31, 2.37, 2.43, 2.53, 2.61, 2.68, 
## 2.74, 2.79, 2.83, 2.81, 2.76, 2.7, 2.66, 2.62, 2.57, 2.52, 2.47, 
## 1.99, 1.88, 1.86, 1.94, 2.04, 2.03, 2.03, 1.78, 1.73, 1.4, 1.21, 
## 1.16, 1.15, 1.31, 1.46, 1.53, 1.65, 1.65, 1.74, 2.03, 2.42, 2.63, 
## 2.7, 2.77, 2.86, 2.84, 2.85, 2.89, 3.11, 3.18, 3.43, 3.63, 3.75, 
## 3.76, 3.74, 3.57, 3.43, 3.14, 2.98, 1.79, 1.6, 1.55, 1.58, 1.67, 
## 1.79, 1.93, 2.03, 2.02, 2.02, 2, 1.96, 1.66, 1.51, 1.34, 1.27, 
## 1.15, 1.13, 1.17, 1.22, 1.25, 1.32, 1.54, 1.69, 1.93, 2.14, 2.46, 
## 2.63, 2.61, 2.63, 2.67, 2.74, 3.03, 3.08, 3.09, 3.1, 2.99, 2.74, 
## 2.53, 2.38, 2.25, 1.8, 1.59, 1.54, 1.51, 1.5, 1.6, 1.66, 1.68, 
## 1.71, 1.78, 1.98, 2, 2.08, 2.09, 2.11, 2.12, 1.99, 1.91, 1.82, 
## 1.74, 1.65, 1.56, 1.46, 1.28, 1.2, 1.09, 1.05, 1.04, 1.05, 1.1, 
## 1.13, 1.17, 1.31, 1.7, 2.28, 2.86, 3.23, 3.31, 3.32, 3.6, 3.87, 
## 3.88, 3.81, 3.63, 2.62, 2.45, 2.3, 2.14, 2.02, 1.99, 1.98, 2.16, 
## 2.24, 2.29, 2.34, 2.39, 2.37, 2.35, 2.34, 2.33, 2.32, 2.33, 2.33, 
## 2.36, 2.39, 2.42, 2.42, 2.4, 2.37, 2.69, 2.69, 2.69, 2.68, 2.64, 
## 2.64, 2.69, 2.71, 2.85, 2.96, 2.94, 2.9, 2.86, 2.79, 2.73, 2.58, 
## 2.12, 2.03, 1.85, 1.87, 1.93, 1.99, 2.05, 2.09, 2.16, 2.4, 2.48, 
## 2.72, 2.82, 2.69, 2.63, 2.57, 2.21, 2.07, 1.99, 1.94, 1.94, 1.94, 
## 1.95, 1.96, 1.98, 2.08, 2.15, 2.22, 2.29, 2.35, 2.39, 2.38, 2.31, 
## 2.28, 2.33, 2.53, 2.66, 2.7, 2.74, 2.75, 4.8, 4.88, 4.94, 5, 
## 5.06, 5.12, 5.27, 5.34, 5.38, 5.44, 5.47, 5.51, 5.5, 5.4, 5.36, 
## 5.31, 5.26, 5.2, 5.19, 5.2, 5.16, 5.11, 5.05, 4.96, 4.95, 4.96, 
## 5.06, 5.66, 5.75, 5.79, 5.81, 5.73, 5.58, 5.46, 5.33, 5.26, 5.08, 
## 5.01, 4.8, 4.77, 4.77, 4.72, 4.65, 4.61, 4.59, 4.59, 4.58, 4.54, 
## 4.54, 4.6, 4.62, 4.61, 4.6, 4.55, 4.55, 4.63, 5.04, 5.46, 5.57, 
## 5.78, 5.9, 6.18, 6.23, 6.25, 6.3, 6.42, 6.46, 6.52, 6.57, 6.6, 
## 6.7, 6.7, 6.66, 6.62, 6.64, 6.68, 6.68, 6.71, 6.66, 6.64, 6.6, 
## 6.43, 6.2, 5.76, 5.6, 5.45, 5.32, 5.07, 4.77, 4.7, 4.65, 4.67, 
## 4.71, 4.92, 5.03, 5.23, 5.36, 5.56, 5.64, 5.71, 5.82, 6.04, 6.36, 
## 6.42, 6.5, 6.55, 6.65, 6.83, 7.18, 7.38, 7.45, 7.54, 7.52, 7.47, 
## 7.39, 5.75, 5.76, 5.78, 5.71, 6.08, 6.13, 6.19, 6.23, 6.35, 6.36, 
## 6.39, 6.44, 6.46, 6.52, 6.54, 6.58, 6.57, 6.57, 6.57, 6.55, 6.52, 
## 6.53, 6.58, 6.62, 6.65, 6.69, 6.72, 6.74, 6.81, 6.83, 6.85, 6.82, 
## 6.85, 6.85, 6.83, 6.78, 6.65, 6.58, 6.5, 6.41, 6.24, 6.16, 6, 
## 5.8, 5.62, 5.66, 5.66, 5.64, 5.7, 5.65, 5.57, 5.54, 5.53, 5.53, 
## 5.49, 5.49, 5.49, 5.48, 5.46, 5.47, 5.49, 5.52, 5.54, 5.63, 5.68, 
## 5.73, 6.13, 6.21, 6.25, 6.26, 6.27, 6.23, 6.23, 6.39, 6.46, 6.54, 
## 6.63, 6.7, 7.08, 7.09, 6.95, 6.87, 6.82, 6.67, 6.61, 6.47, 6.39, 
## 6.25, 6.13, 5.98, 5.77, 5.21, 5.42, 5.75, 6.06, 6.28, 6.51, 6.61, 
## 6.71, 7.11, 7.21, 7.32, 7.37, 7.46, 7.43, 6.85, 6.75, 6.53, 6.19, 
## 6.14, 5.99, 6.03, 6.12, 6.16, 6.18, 6.04, 5.85, 5.62, 5.38, 4.91, 
## 4.89, 4.87, 4.8, 4.89, 5.01, 5.1, 5.18, 5.56, 5.68, 5.87, 5.86, 
## 5.85, 5.86, 5.88, 6.05, 6.14, 6.19, 6.23, 6.27, 6.36, 6.4, 6.43, 
## 6.48, 6.55, 6.61, 6.69, 6.78, 6.82, 6.91, 6.82, 6.82, 6.79, 6.62, 
## 6.57, 6.65, 6.67, 6.69, 6.67, 6.65, 6.45, 6.38, 6.17, 6.15, 6.2, 
## 6.22, 6.16, 6.09, 6.02, 5.85, 5.66, 5.53, 5.48, 5.71, 5.86, 5.99, 
## 6.16, 6.25, 6.37, 6.46, 6.75, 6.79, 6.86, 6.85, 6.82, 6.84, 6.85, 
## 6.88, 6.89, 6.88, 6.86, 6.84, 6.8, 6.76, 6.56, 6.16, 6, 5.94, 
## 5.93, 5.93, 5.94, 6.02, 6.08, 6.2, 6.31, 6.3, 6.3, 6.33, 6.4, 
## 6.49, 6.57, 6.58, 6.49, 6.44, 6.37, 6.48, 6.55, 6.65, 8.53, 8.47, 
## 8.41, 8.33, 8.17, 8.13, 7.95, 7.85, 7.82, 7.83, 7.67, 7.63, 7.62, 
## 7.39, 7.23, 7.05, 6.57, 6.33, 5.97, 5.96, 5.99, 6.04, 6.12, 6.2, 
## 6.34, 6.43, 6.52, 6.62, 6.74, 6.73, 6.69, 6.43, 6.3, 6.21, 6.06, 
## 5.97, 5.85, 5.87, 5.86, 6.12, 6.38, 6.49, 6.62, 6.74, 6.86, 6.96, 
## 7.08, 7.09, 6.99, 6.91, 6.84, 6.82, 6.65, 6.45, 6.1, 5.9, 5.79, 
## 5.5, 5.34, 5.28, 5.28, 5.28, 5.37, 5.39, 5.45, 5.61, 5.9, 6.13, 
## 6.28, 6.5, 6.58, 6.64, 6.72, 6.82, 6.82, 6.83, 6.82, 6.83, 6.78, 
## 6.76, 6.75, 6.75, 6.76, 6.75, 6.76, 6.75, 6.77, 6.8, 6.82, 6.86, 
## 6.88, 6.92, 7.1, 7.1, 7.08, 7.07, 7.06, 7.05, 7.04, 7.01, 7.11, 
## 7.17, 7.28, 7.33, 7.36, 7.68, 7.57, 7.43, 7.42, 5.97, 5.92, 5.91, 
## 5.91, 5.87, 5.82, 5.68, 5.41, 5.31, 5.25, 5.16, 5.13, 4.9, 4.69, 
## 4.54, 4.06, 3.73, 3.19, 3.11, 3.08, 3.19, 3.25, 3.28, 3.29, 3.3, 
## 3.31, 3.32, 3.39, 3.41, 3.46, 3.55, 3.6, 3.67, 3.84, 3.88, 4.09, 
## 4.29, 4.5, 4.6, 4.69, 4.85, 4.92, 4.89, 4.83, 4.64, 4.46, 4.28, 
## 3.97, 3.78, 3.71, 3.66, 3.63, 3.65, 3.74, 3.79, 3.83, 3.85, 3.86, 
## 3.9, 4.02, 4.07, 4.1, 4.14, 4.18, 4.2, 4.21, 4.21, 4.2, 4.18, 
## 4.05, 3.98, 3.93, 3.91, 3.91, 3.95, 3.94, 3.93, 3.94, 4, 4.11, 
## 4.23, 4.6, 4.59, 4.6, 4.6, 4.63, 4.72, 4.95, 4.95, 4.87, 4.47, 
## 3.73, 3.76, 3.79, 3.82, 3.9, 3.98, 4, 4.03, 4.3, 4.39, 4.75, 
## 4.81, 4.89, 4.94, 4.91, 4.77, 4.78, 4.84, 4.87, 4.91, 4.94, 5.05, 
## 5.16, 5.37, 5.47, 5.57, 5.64, 5.7, 5.7, 5.67, 5.61, 5.61, 5.57, 
## 5.56, 4.96, 4.94, 4.89, 4.84, 4.71, 4.62, 4.64, 4.71, 4.8, 4.9, 
## 4.99, 5.16, 5.22, 5.22, 5.21, 5.22, 5.38, 5.61, 5.87, 5.98, 6.2, 
## 5.98, 5.84, 5.33, 4.99, 4.81, 4.75, 4.71, 4.69, 4.76, 4.78, 4.81, 
## 4.85, 4.91, 5.07, 5.13, 5.18, 5.27, 5.3, 5.21, 4.48, 4.32, 4.16, 
## 3.92, 3.87, 3.93, 3.94, 3.93, 4.05, 4.25, 4.28, 4.32, 4.38, 4.4, 
## 4.42, 4.63, 4.83, 4.98, 5.14, 4.86, 4.7, 4.52, 4.14, 3.84, 3.74, 
## 3.69, 3.68, 3.7, 4.3, 4.4, 4.49, 4.59, 4.7, 4.78, 4.86, 5.05, 
## 5.13, 5.28, 5.27, 5.24, 5.17, 4.91, 4.78, 4.64, 4.36, 4.06, 4.04, 
## 3.9, 3.86, 3.84, 3.82, 3.83, 3.84, 3.85, 3.88, 4.05, 4.32, 4.42, 
## 4.65, 4.76, 5.05, 5.03, 4.95, 4.71, 4.48, 4.34, 4, 4.18, 4.47, 
## 4.63, 4.69, 4.74, 4.77, 4.8, 4.83, 4.87, 4.9, 4.93, 4.99, 5.05, 
## 5.12, 5.13, 5.12, 5.06, 4.83, 4.77, 4.73, 4.69, 4.66, 4.75, 4.93, 
## 5.15, 5.45, 5.68, 5.75, 6.05, 6.05, 5.96, 5.4, 5.28, 4.8, 4.51, 
## 4.44, 4.33, 4.44, 4.65, 4.82, 4.86, 4.89, 4.82, 4.8, 4.42, 4.28, 
## 4.12, 3.96, 3.79, 3.49, 3.57, 3.71, 4.31, 4.45, 4.59, 4.74, 5.03, 
## 5.18, 5.72, 5.82, 5.92, 5.81, 5.38, 5.07, 4.61, 4.59, 4.62, 4.74, 
## 4.77, 4.8, 4.82, 4.9, 4.95, 4.96, 4.95, 4.92, 4.86, 4.82, 4.73, 
## 4.65, 4.56, 4.44, 4.33, 4.05, 3.91, 3.66, 3.61, 3.52, 3.63, 4.06, 
## 4.11, 4.24, 4.31, 4.49, 4.62, 4.79, 4.94, 5.07, 5.18, 5.32, 5.29, 
## 4.88, 4.46, 4.12, 4.02, 4.2, 4.29, 4.36, 4.4, 4.43, 4.58, 4.77, 
## 4.96, 5.11, 5.2, 5.31, 5.36, 5.08, 5, 4.93, 4.87, 4.8, 4.73, 
## 4.64, 4.62, 5.08, 5.19, 5.45, 6.11, 6.26, 6.49, 6.57, 6.64, 6.67, 
## 6.67, 6.64, 6.49, 6.4, 6.21, 6.03, 5.95, 5.87, 5.71, 5.63, 5.43, 
## 5.43, 5.42, 5.42, 5.44, 5.43, 5.44, 5.41, 5.37, 5.37, 5.35, 5.33, 
## 5.32, 5.3, 5.27, 5.24, 5.23, 5.23, 5.22, 5.22, 5.22, 5.19, 5.19, 
## 5.18, 5.12, 5.11, 5.12, 5.05, 4.95, 4.89, 4.79, 4.69, 4.56, 3.96, 
## 3.76, 3.65, 3.71, 3.91, 4.05, 4.17, 4.29, 4.37, 4.43, 4.27, 4.05, 
## 3.94, 3.51, 3.38, 3.25, 2.91, 2.77, 2.69, 2.68, 2.68, 2.7, 2.9, 
## 3.6, 3.68, 3.8, 3.87, 4.06, 5.03, 5.17, 5.3, 5.22, 4.9, 3.82, 
## 3.55, 3.32, 2.73, 2.44, 2.44, 2.58, 2.94, 3.18, 3.38, 3.79, 4.3, 
## 4.62, 4.79, 5.18, 4.95, 4.79, 3.83, 3.32, 3.08, 2.6, 2.08, 1.82, 
## 1.56, 1.08, 0.89, 0.74, 1.69, 1.95, 2.18, 2.75, 3.24, 3.66, 3.9, 
## 4.63, 4.75, 4.39, 4.06, 3.93, 3.8, 3.42, 3.43, 3.49, 4.35, 4.5, 
## 4.77, 4.79, 4.79, 4.7, 4.49, 4.21, 4.06, 3.82, 3.7, 3.61, 3.44, 
## 3.49, 3.56, 3.65, 3.81, 3.92, 3.97, 4.07, 4.14, 4.17, 4.17, 4.16, 
## 4.22, 4.24, 4.3, 4.37, 4.39, 4.43, 4.57, 4.62, 4.66, 4.7, 4.75, 
## 4.79, 4.8, 4.8, 4.82, 4.88, 4.89, 5.97, 6.05, 6.12, 6.2, 6.27, 
## 6.35, 6.43, 6.5, 6.58, 6.79, 6.89, 6.98, 7.06, 7.12, 7.2, 7.26, 
## 7.34, 7.45, 7.55, 7.8, 7.89, 7.95, 7.63, 7.33, 7.18, 7.02, 6.89, 
## 6.65, 6.51, 6.34, 6.12, 5.89, 5.46, 5.23, 5.01, 5.02, 5.04, 5.09, 
## 5.09, 5.12, 5.15, 5.27, 5, 4.6, 4.5, 4.43, 4.28, 4.26, 4.24, 
## 4.25, 4.26, 4.27, 4.27, 4.27, 4.26, 4.25, 4.24, 4.23, 4.2, 4.17, 
## 4.02, 3.99, 3.99, 3.97, 3.93, -44.4, -44, -43.8, -43.8, -43.8, 
## -43.7, -43.7, -43.7, -43.7, -43.7, -43.7, -43.5, -43.4, -43.3, 
## -43.3, -43.1, -43.1, -43, -42.9, -43, -43, -43.1, -43.1, -43.2, 
## -43.3, -43.3, -43.3, -43.3, -43.4, -43.4, -43.3, -42.3, -42.3, 
## -42.2, -42.2, -42.1, -42.1, -42.1, -42.2, -42.2, -42.1, -42.1, 
## -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, 
## -42, -42, -41.6, -41.6, -41.5, -41.5, -41.5, -41.5, -41.4, -41.4, 
## -41.4, -41.4, -41.4, -41.4, -41.4, -41.3, -41.6, -41.6, -41.7, 
## -41.7, -41.8, -41.8, -41.8, -41.8, -41.8, -41.7, -41.7, -41.6, 
## -41.6, -41.6, -41.5, -41.5, -41.5, -41.4, -41.4, -41.5, -41.5, 
## -41.6, -41.6, -41.6, -41.6, -41.6, -41.6, -41.6, -41.6, -41.5, 
## -41.5, -41.5, -41.5, -41.5, -41.5, -41.4, -41.3, -41.3, -41.2, 
## -41, -40.8, -40.8, -40.7, -40.8, -40.8, -40.8, -40.9, -40.8, 
## -40.8, -40.8, -40.8, -40.7, -40.7, -40.7, -40.7, -40.7, -40.7, 
## -40.7, -40.6, -40.8, -40.8, -40.9, -41, -41.1, -41.1, -41.2, 
## -41.2, -41.2, -41, -41, -40.9, -40.8, -40.7, -40.7, -40.6, -40.6, 
## -40.6, -40.6, -40.6, -41, -41, -41, -41, -40.9, -40.9, -40.9, 
## -40.9, -41, -41, -41, -41, -41, -41.1, -41.1, -41.2, -41.2, -41.3, 
## -41.3, -41.3, -41.3, -41.2, -41.2, -41.1, -40.9, -40.9, -40.6, 
## -40.5, -40.4, -40.4, -40.4, -40.4, -40.4, -40.5, -40.5, -40.5, 
## -40.5, -40.6, -40.7, -40.7, -40.8, -40.8, -40.8, -40.8, -40.8, 
## -40.8, -40.8, -40.7, -40.6, -40.5, -40.5, -40.5, -40.4, -40.5, 
## -40.5, -40.5, -40.5, -40.5, -40.5, -40.5, -40.5, -40.5, -40.6, 
## -40.6, -40.7, -40.8, -40.8, -40.8, -40.9, -41, -41, -41, -41, 
## -41, -41, -41, -41, -41.1, -41.1, -41.1, -41.1, -41.1, -41.1, 
## -41.1, -41.1, -41, -40.9, -40.9, -40.8, -40.8, -40.8, -40.7, 
## -40.7, -40.7, -40.7, -40.6, -40.6, -40.6, -40.6, -40.7, -40.7, 
## -40.8, -40.8, -40.8, -40.8, -40.8, -40.8, -40.8, -40.8, -40.8, 
## -40.8, -40.8, -40.8, -40.8, -40.7, -40.7, -40.6, -40.4, -40.3, 
## -41.1, -41.2, -41.2, -41.2, -41.2, -41.2, -41.1, -41.1, -41, 
## -41, -41, -41, -41, -41, -41, -41, -41, -41, -41.1, -41.1, -41.2, 
## -41.2, -41.2, -41.2, -41.2, -41.2, -41.2, -41.2, -41.2, -41.2, 
## -41.2, -41.2, -41.2, -41.1, -41.1, -41.1, -41, -41, -41, -41, 
## -41, -41, -41, -41, -41.1, -41.1, -41.2, -41.4, -41.4, -41.4, 
## -41.4, -41.5, -41.5, -41.6, -41.6, -41.6, -41.6, -41.5, -41.4, 
## -41.4, -41.4, -41.4, -41.4, -41.4, -41.4, -41.4, -41.5, -41.5, 
## -41.5, -41.4, -41.3, -41.3, -41.2, -41.1, -41.1, -41.1, -41, 
## -41, -41.1, -41.1, -41.2, -41.3, -41.3, -41.3, -41.3, -41.2, 
## -41.2, -41.1, -41.1, -41.2, -41.2, -41.2, -41.2, -41.3, -41.3, 
## -41.2, -41.1, -41, -41, -41, -41, -41, -40.9, -40.9, -40.9, -40.9, 
## -40.9, -40.9, -41.1, -41.2, -41.2, -41.1, -41.1, -41.1, -41.2, 
## -41.3, -41.3, -41.3, -41.3, -41.4, -41.4, -41.5, -41.5, -41.5, 
## -41.5, -41.5, -41.5, -41.5, -41.5, -41.5, -41.6, -41.6, -41.7, 
## -41.6, -41.6, -41.6, -41.5, -41.4, -41.4, -41.4, -41.4, -41.4, 
## -41.4, -41.4, -41.4, -41.5, -41.5, -41.5, -41.5, -41.5, -41.6, 
## -41.6, -41.6, -41.6, -41.6, -41.6, -41.6, -41.7, -41.6, -41.6, 
## -41.6, -41.5, -41.5, -41.5, -41.5, -41.5, -41.9, -42, -42, -42.1, 
## -42.1, -42.1, -42.1, -42.1, -42, -42, -41.9, -41.8, -41.8, -41.7, 
## -41.6, -41.5, -41.4, -41.4, -41.4, -41.3, -41.3, -41.3, -41.3, 
## -41.3, -41.3, -41.3, -41.3, -41.4, -41.4, -41.4, -41.4, -41.4, 
## -41.4, -41.4, -41.4, -41.4, -41.4, -41.4, -41.4, -41.4, -41.4, 
## -41.4, -41.4, -41.5, -41.5, -41.5, -41.5, -41.5, -41.5, -41.5, 
## -41.5, -41.5, -41.4, -41.4, -41.4, -41.4, -41.4, -41.5, -41.6, 
## -41.8, -42, -42.1, -42.6, -42.7, -42.8, -43, -43.1, -43.3, -43.3, 
## -43.5, -43.8, -43.9, -43.9, -44, -44, -44, -44, -43.9, -43.8, 
## -43.7, -43.7, -43.6, -43.5, -43.3, -43.2, -43.2, -43.1, -43.1, 
## -43, -42.9, -42.8, -42.8, -42.8, -42.8, -42.8, -42.8, -42.8, 
## -42.8, -42.9, -43, -43.1, -43.1, -43.2, -43.3, -43.2, -42.9, 
## -42.6, -42.3, -42, -41.8, -41.8, -41.9, -42, -42.2, -42.3, -42.4, 
## -42.5, -42.6, -42.6, -42.7, -42.8, -42.8, -42.8, -42.8, -42.8, 
## -42.8, -42.8, -42.8, -42.7, -42.7, -42.5, -42.5, -42.5, -42.4, 
## -42.4, -42.3, -42.3, -42.2, -42.2, -42.1, -42.1, -42.2, -42.1, 
## -42.1, -42.1, -42, -42, -41.9, -41.9, -41.9, -42, -42.1, -42.2, 
## -42.3, -42.2, -42.2, -42.2, -42.2, -42.2, -42.2, -42.2, -42.2, 
## -42.2, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, 
## -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, 
## -42.1, -42, -42, -42, -41.9, -41.9, -41.9, -41.9, -41.9, -41.5, 
## -41.5, -41.5, -41.6, -41.6, -41.7, -41.7, -41.7, -41.7, -41.7, 
## -41.7, -41.7, -41.7, -41.7, -41.7, -41.7, -41.7, -41.7, -41.7, 
## -41.7, -40.4, -40.4, -40.4, -40.5, -40.6, -40.6, -40.6, -40.6, 
## -40.7, -40.8, -40.9, -40.8, -41, -41, -41, -41, -41.1, -40.6, 
## -40.7, -40.7, -40.7, -40.8, -40.8, -40.8, -40.8, -40.9, -40.9, 
## -40.8, -40.8, -40.8, -40.7, -40.7, -40.7, -40.6, -40.6, -40.6, 
## -40.6, -40.6, -40.6, -40.6, -40.6, -40.7, -40.8, -40.9, -41, 
## -41, -42, -42, -41.9, -41.9, -41.9, -41.9, -41.8, -41.7, -41.5, 
## -41.5, -41.5, -41.6, -41.6, -41.7, -41.7, -41.8, -41.8, -41.8, 
## -41.8, -41.8, -41.8, -41.7, -41.7, -42.8, -42.8, -42.8, -42.8, 
## -42.8, -42.8, -42.7, -42.6, -42.5, -42.3, -42.3, -42.2, -42.2, 
## -42.4, -42.5, -42.5, -42.5, -42.5, -42.5, -42.5, -42.5, -42.4, 
## -43.3, -43.3, -43.3, -43.2, -43.2, -43.2, -43.1, -43.1, -43.1, 
## -43.1, -43.1, -43.1, -43.1, -43.1, -43, -42.8, -42.8, -42.8, 
## -42.8, 14.8, 14.7, 14.5, 14.3, 14.1, 14, 14, 14, 14, 14, 14, 
## 14, 14.1, 14.1, 14.1, 14.2, 14.1, 14.1, 14.5, 14.5, 14.5, 14.4, 
## 14.3, 14.1, 14.1, 14.1, 14, 14, 14, 14, 13.9, 13.9, 13.9, 13.9, 
## 13.9, 13.9, 13.8, 13.8, 13.8, 13.8, 13.7, 13.7, 13.8, 13.8, 13.9, 
## 13.9, 13.9, 13.9, 13.9, 13.8, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 
## 13.6, 13.6, 13.7, 13.7, 13.7, 13.7, 13.6, 13.6, 13.6, 13.7, 13.7, 
## 13.7, 13.7, 13.7, 13.8, 13.8, 13.7, 13.7, 13.7, 13.8, 13.8, 13.8, 
## 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 
## 13.8, 13.7, 13.7, 13.9, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 
## 13.7, 13.6, 13.4, 13.3, 13.1, 13.3, 13.4, 13.6, 13.6, 13.7, 13.7, 
## 13.7, 13.8, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 
## 13.7, 13.6, 13.6, 13.5, 13.5, 13.5, 13.5, 13.5, 13.6, 13.7, 13.7, 
## 13.7, 13.7, 13.9, 13.9, 13.8, 13.7, 13.7, 13.7, 13.6, 13.6, 13.6, 
## 13.6, 13.6, 13.6, 13.6, 13.7, 13.7, 13.7, 13.7, 13.6, 13.6, 13.6, 
## 13.9, 14, 14.1, 14.1, 14.2, 14.2, 14.1, 14.1, 14, 14, 13.8, 13.8, 
## 13.8, 13.7, 13.7, 13.7, 13.7, 13.8, 13.8, 13.8, 13.8, 13.8, 13.7, 
## 13.7, 13.7, 13.7, 13.7, 13.8, 13.9, 13.9, 13.8, 13.8, 13.8, 13.8, 
## 14.1, 14, 14, 13.9, 13.8, 13.8, 13.8, 13.7, 13.7, 13.7, 13.7, 
## 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.8, 13.8, 14, 
## 14.1, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.3, 14.3, 
## 14.3, 14.4, 14.5, 14.5, 14.6, 14.6, 14.6, 14.6, 14.6, 14.6, 14.6, 
## 14.5, 14.5, 14.5, 14.5, 14.3, 14.2, 14.2, 14.2, 14.1, 14.1, 14.1, 
## 14.1, 14.1, 14, 13.8, 13.8, 13.8, 13.8, 13.9, 14, 14, 14.3, 14.5, 
## 14.6, 14.7, 14.8, 14.8, 14.8, 14.7, 14.6, 14.5, 14.5, 14.3, 14.3, 
## 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.3, 14.3, 
## 14.3, 14.3, 14.3, 14.3, 14.3, 14.3, 14.3, 14.3, 14.4, 14.4, 14.3, 
## 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 
## 14.2, 14.1, 14.1, 14.1, 14.1, 14, 14, 13.9, 13.8, 13.8, 13.7, 
## 13.6, 13.7, 13.9, 14, 14.1, 14.2, 14.3, 14.3, 14.3, 14.3, 14.3, 
## 14.3, 14.2, 14.2, 14.1, 14.1, 14.1, 14.1, 14.1, 14.1, 14.1, 14.1, 
## 14.1, 14, 14, 14, 14, 14, 14, 14, 14, 14.1, 14.2, 14.3, 14.3, 
## 14.4, 14.4, 14.4, 14.4, 14, 14.1, 14.1, 14.2, 14.3, 14.5, 14.5, 
## 14.5, 14.5, 14.5, 14.4, 14.4, 14.3, 14.3, 14.3, 14.3, 14.3, 14.3, 
## 14.3, 14.4, 14.4, 14.4, 14.5, 14, 14, 13.9, 13.8, 13.8, 13.7, 
## 13.7, 13.7, 13.8, 13.9, 14, 14.3, 14.4, 14.5, 14.5, 14.5, 14.5, 
## 14.5, 14.5, 14.5, 14.5, 14.4, 14.2, 14.1, 14.1, 14, 14, 14.1, 
## 14.1, 14.1, 14.1, 14.1, 14.2, 14.2, 14.3, 14.4, 14.5, 14.6, 14.7, 
## 14.8, 14.8, 14.8, 14.9, 14.9, 14.9, 14.9, 14.9, 14.9, 15, 15, 
## 15, 14.9, 14.9, 14.8, 14.8, 14.7, 14.5, 14.6, 14.7, 14.8, 14.8, 
## 14.9, 14.9, 14.9, 14.9, 14.8, 14.8, 14.8, 14.7, 14.7, 14.7, 14.7, 
## 14.6, 14.6, 14.2, 14.3, 14.1, 14, 14, 13.9, 13.8, 13.9, 13.9, 
## 13.9, 13.9, 13.9, 13.8, 13.8, 13.8, 13.8, 13.7, 13.8, 13.8, 13.8, 
## 13.9, 13.9, 13.9, 13.9, 14, 14.4, 14.5, 14.5, 14.5, 14.4, 14.3, 
## 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.2, 14.3, 14.3, 14.3, 14.3, 
## 14.2, 13.8, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 13.7, 
## 13.7, 13.7, 13.7, 13.8, 13.8, 13.8, 13.9, 14, 13.9, 13.9, 14, 
## 14, 14.1, 14.2, 14.2, 14.2, 14.2, 14.1, 14.1, 14.1, 14.1, 14, 
## 14, 14, 14.1, 14.1, 14.1, 14.2, 14.2, 14.2, 14.2, 14.2, 14.3, 
## 14.3, 14.3, 14.3, 14.4, 14.4, 14.5, 5.34, 5.35, 5.24, 5.19, 5.28, 
## 5.31, 5.35, 5.37, 5.36, 5.38, 5.37, 5.07, 5.03, 5, 4.98, 4.95, 
## 4.93, 4.91, 4.91, 4.92, 4.94, 4.9, 4.96, 4.96, 4.98, 5.04, 5.15, 
## 5.17, 5.2, 5.22, 5.25, 5.26, 5.29, 5.32, 5.43, 5.52, 5.48, 5.54, 
## 5.57, 5.72, 5.8, 5.61, 5.56, 5.37, 5.26, 5.12, 4.73, 4.52, 4.43, 
## 4.35, 4.32, 4.3, 4.55, 5.09, 5.24, 5.3, 5.26, 5.22, 5.01, 4.99, 
## 4.98, 2.24, 2.2, 2.15, 2.1, 2.11, 2.11, 2.1, 2.1, 2.11, 2.11, 
## 2.08, 1.97, 1.93, 1.89, 1.91, 1.99, 2.19, 2.3, 1.84, 1.6, 1.33, 
## 1.22, 1.1, 0.8, 0.77, 0.8, 0.84, 0.96, 1.03, 1.24, 1.49, 1.52, 
## 1.54, 1.58, 1.63, 1.67, 1.71, 1.85, 2.05, 2.14, 2.31, 2.35, 2.31, 
## 2.27, 1.32, 1.18, 0.98, 0.91, 0.82, 0.8, 0.78, 0.79, 0.79, 0.78, 
## 0.76, 0.75, 0.75, 0.76, 0.78, 0.88, 1.14, 2.02, 2.19, 2.44, 2.53, 
## 2.59, 2.69, 2.73, 2.78, 2.83, 3.47, 3.78, 4.14, 25.7, 25.7, 25.7, 
## 25.7, 25.6, 25.5, 25.6, 25.6, 25.6, 25.5, 25.3, 25.2, 25.2, 25.1, 
## 25.1, 25.1, 25.1, 25.1, 25, 25, 25, 25.4, 25.3, 25.3, 25.3, 25.4, 
## 25.5, 25.6, 25.4, 25.4, 25.3, 25.3, 25.4, 25.2, 25.1, 25.1, 25.1, 
## 25.1, 25.2, 25.2, 25.2, 25.3, 25.3, 25.3, 25.3, 25.3, 25.4, 25.6, 
## 25.6, 25.7, 25.7, 25.7, 25.8, 25.8, 25.9, 25.9, 26, 26, 26.1, 
## 26.1, 26.1, 25.9, 25.8, 25.8, 25.8, 25.7, 25.8, 25.9, 25.9, 25.9, 
## 25.8, 25.8, 25.8, 25.8, 25.5, 25.6, 25.6, 25.6, 25.5, 25.5, 25.5, 
## 25.5, 25.4, 25.4, 25.3, 25.3, 25.2, 25.2, 25.2, 25.2, 25.2, 25.2, 
## 24.9, 24.9, 24.8, 24.8, 24.9, 26, 26, 25.9, 25.9, 25.8, 25.9, 
## 25.9, 25.9, 25.9, 25.8, 25.8, 25.8, 25.8, 25.8, 25.8, 25.8, 25.6, 
## 25.6, 25.6, 25.6, 6.71, 6.84, 7.51, 7.76, 7.83, 7.92, 8.11, 8.26, 
## 8.34, 8.42, 8.48, 8.5, 8.53, 8.53, 8.53, 8.52, 8.5, 8.42, 8.29, 
## 8.24, 8.22, 8.2, 8.2, 8.26, 8.3, 8.37, 8.44, 8.53, 8.66, 8.69, 
## 7.37, 7.33, 7.15, 7.17, 7.19, 7.21, 7.23, 7.3, 7.32, 7.29, 7.25, 
## 7.21, 7.09, 6.99, 6.69, 6.37, 6.31, 6.01, 5.87, 5.77, 5.75, 5.73, 
## 6.73, 6.7, 6.68, 6.43, 6.36, 6.31, 6.31, 6.37, 6.45, 6.52, 6.78, 
## 6.85, 6.83, 6.8, 6.79, 6.77, 6.78, 6.79, 6.79, 6.77, 6.72, 6.83, 
## 6.83, 6.89, 6.82, 6.81, 6.78, 6.74, 6.83, 6.77, 6.74, 6.78, 6.84, 
## 6.78, 6.75, 6.66, 6.55, 6.44, 6.37, 6.27, 6.09, 6.04, 6.01, 6.03, 
## 6.09, 6.14, 6.27, 6.28, 6.3, 6.37, 6.51, 6.66, 6.96, 6.94, 6.91, 
## 6.88, 6.74, 6.67, 6.5, 6.5, 6.48, 6.37, 6.36, 6.36, 6.39, 6.38, 
## 6.52, 6.48, 6.52, 6.6, 6.59, 6.56, 6.99, 6.99, 6.98, 6.94, 6.94, 
## 6.91, 6.87, 6.91, 6.9, 6.95, 6.78, 6.72, 6.6, 6.08, 5.75, 5.72, 
## 5.71, 5.69, 5.72, 5.86, 5.98, 6.02, 6.26, 6.32, 6.45, 6.48, 6.55, 
## 6.67, 6.75, 6.83, 6.9, 7.03, 7.2, 7.24, 7.29, 7.3, 7.34, 7.35, 
## 7.38, 7.49, 7.54, 7.58, 7.73, 7.8, 7.91, 7.99, 8.09, 8.28, 8.47, 
## 8.73, 8.96, 9, 8.91, 8.86, 8.83, 8.81, 8.71, 8.68, 8.66, 8.62, 
## 8.58, 8.55, 8.51, 8.48, 8.41, 8.39, 8.35, 8.28, 8.24, 8.09, 8.05, 
## 8.03, 7.89, 7.81, 25.1, 24.9, 24.9, 24.8, 24.8, 24.9, 24.9, 25, 
## 25, 25, 25, 24.9, 24.9, 24.8, 24.8, 24.9, 25, 25, 25, 25.1, 25.2, 
## 25.5, 25.5, 25.5, 25.5, 25.4, 25.3, 25.2, 25, 24.9, 24.9, 24.9, 
## 24.9, 24.8, 24.9, 24.9, 24.9, 24.9, 25.1, 25.2, 25.2, 25.2, 25.2, 
## 25.1, 25.1, 24.9, 24.9, 24.9, 24.9, 24.9, 25, 25.1, 25.2, 25.3, 
## 25.6, 25.5, 25.4, 25.3, 25.8, 25.6, 25.5, 25.3, 25.2, 25.1, 25.1, 
## 25.2, 25.2, 25.2, 25.4, 25.4, 25.5, 25.6, 25.6, 25.6, 25.5, 25.5, 
## 25.5, 25.5, 25.5, 25.5, 25.5, 25.4, 25.4, 25.2, 25.3, 25.3, 25.2, 
## 25.1, 25.1, 25.2, 25.2, 25.2, 25.4, 25.6, 25.7, 25.8, 25.8, 26, 
## 26, 25.9, 25.9, 25.7, 25.6, 25.6, 25.5, 25.5, 25.5, 25.5, 25.6, 
## 25.6, 25.7, 25.7, 25.7, 25.7, 25.6, 25.4, 25.4, 25.2, 25.2, 25.1, 
## 25.1, 25.1, 25.2, 25.2, 25.2, 25.2, 25.2, 25.1, 25.1, 25, 25, 
## 25, 25, 25.6, 25.6, 25.7, 25.7, 25.8, 25.8, 25.8, 25.8, 25.7, 
## 25.7, 25.7, 25.7, 25.7, 25.7, 25.7, 25.5, 25.5, 25.5, 25.5, 25.5, 
## 25.5, 25.5, 25.5, 25.4, 25.4, 25.4, 25.3, 25.3, 25.3, 25.3, 25.3, 
## 25.3, 25.4, 25.4, 25.4, 25.5, 25.5, 25.6, 25.7, 25.6, 25.5, 25.2, 
## 25.2, 25.1, 25.1, 25.1, 25.3, 25.4, 25.7, 26, 26.1, 26, 26, 25.9, 
## 25.8, 25.3, 25.3, 25.2, 25.2, 25.2, 25.3, 25.4, 25.4, 25.5, 25.5, 
## 25.5, 25.5, 25.5, 25.5, 25.5, 25.6, 25.6, 25.6, 25.2, 25.2, 25.3, 
## 25.3, 25.4, 25.4, 25.4, 25.4, 25.3, 25.4, 25.3, 25.3, 25.2, 25.2, 
## 25.2, 25.1, 25.1, 25.2, 25.2, 25.2, 25.2, 25.4, 25.5, 25.5, 25.7, 
## 25.8, 25.8, 25.8, 25.8, 25.8, 25.7, 25.6, 25.5, 25.4, 25.4, 25.4, 
## 25.4, 25.4, 25.4, 25.3, 25.3, 25.3, 25.3, 25.5, 25.5, 25.6, 25.6, 
## 25.6, 25.6, 25.6, 25.7, 25.6, 25.6, 25.5, 25.5, 25.5, 25.5, 25.5, 
## 25.5, 25.4, 25.3, 25.3, 25.3, 25.3, 25.2, 25.2, 25.3, 25.4, 25.5, 
## 25.5, 25.5, 25.5, 25.5, 25.5, 25.4, 25.4, 25.4, 25.2, 25.1, 25.1, 
## 25.1, 25.1, 25, 25, 25, 24.9, 24.9, 24.9, 24.9, 24.9, 25, 25.1, 
## 25.1, 25.2, 25.3, 25.3, 25.4, 25.4, 25.4, 25.3, 25.2, 25, 25, 
## 24.9, 24.8, 24.7, 24.6, 24.6, 24.6, 24.6, 24.6, 24.9, 25, 25.1, 
## 25.3, 25.3, 25.4, 25.3, 25.3, 25.2, 25.2, 25.1, 25.1, 25, 25, 
## 25, 25, 25.1, 25.2, 25.2, 25.2, 25.2, 25.2, 25.2, 25.2, 25.2, 
## 25.3, 25.3, 25.3, 25.4, 25.5, 25.8, 25.7, 25.3, 25.3, 25.5, 25.6, 
## 25.7, 25.8, 26.1, 26.1, 26.1, 26.1, 25.9, 25.8, 25.8, 25.8, 25.8, 
## 25.8, 25.8, 25.8, 25.8, 25.7, 25.7, 25.7, 25.7, 25.7, 25.8, 25.9, 
## 25.9, 25.9, 25.6, 25.5, 25.3, 25.2, 24.9, 16.3, 16.3, 16.3, 16.3, 
## 16.3, 16.3, 16.3, 16.4, 16.4, 16.5, 16.5, 16.5, 16.4, 16.4, 16.4, 
## 16.5, 16.4, 16.4, 16.4, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.1, 
## 16, 16, 16, 16.1, 16.1, 16.2, 16.2, 16.2, 16.3, 16.3, 16.3, 16.3, 
## 16.3, 16.3, 16.3, 16.3, 16.5, 16.5, 16.4, 16.4, 16.3, 16.3, 16.2, 
## 16, 16, 16, 16, 16.1, 16.1, 16.1, 16, 16, 16.1, 16.2, 16.2, 16.2, 
## 16.2, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 
## 16.3, 16.3, 16.3, 16.3, 16.2, 16.2, 16.2, 16.2, 16.2, 16.1, 16.1, 
## 16, 16, 16.1, 16.1, 16.1, 16.1, 16.1, 16.2, 16.2, 16.2, 16.2, 
## 16.2, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 
## 16.3, 15.8, 15.9, 15.9, 15.9, 16, 16.1, 16.2, 16.2, 16.3, 16.3, 
## 16.3, 16.2, 16.2, 16, 15.9, 15.7, 15.7, 15.6, 15.6, 15.6, 15.6, 
## 15.6, 15.6, 15.7, 15.7, 15.8, 15.9, 16.1, 16.2, 16.2, 16.3, 16.4, 
## 16.5, 16.5, 16.5, 16.5, 16.4, 16.3, 16.3, 16.3, 16.4, 16.5, 16.5, 
## 16.5, 16.6, 16.5, 16.5, 16.4, 16.4, 16.3, 16.3, 16.3, 16.2, 16.1, 
## 16.1, 16.1, 16.2, 16.2, 16.3, 16.2, 16.2, 16.2, 16.2, 16.2, 16.3, 
## 16.3, 16.3, 16.4, 16.4, 16.4, 16.4, 16.3, 16.2, 16.1, 16.1, 16.1, 
## 16.1, 16.1, 16.1, 16.2, 16.5, 16.5, 16.6, 16.6, 16.7, 16.7, 16.7, 
## 16.8, 16.8, 16.8, 16.9, 16.9, 16.9, 16.9, 16.8, 16.7, 16.6, 16.5, 
## 16.5, 16.6, 16.7, 16.8, 16.8, 16.8, 16.8, 16.8, 16.8, 16.7, 16.6, 
## 16.5, 16.4, 16.5, 16.6, 16.6, 16.6, 17, 17.2, 17.2, 17.2, 17.2, 
## 17.1, 17, 16.9, 16.9, 16.9, 16.9, 16.9, 17, 17, 17.1, 17.2, 17.4, 
## 17.5, 17.5, 17.7, 17.6, 17.6, 17.6, 17.8, 17.9, 18, 18, 18.1, 
## 18.1, 18.1, 18.1, 18.1, 18.2, 18.2, 18.2, 18.2, 18.2, 18.1, 18.1, 
## 18.1, 18, 17.8, 17.8, 17.7, 17.6, 17.5, 17.6, 17.7, 17.7, 17.9, 
## 18, 18, 18.1, 18.1, 18.1, 18.2, 18.3, 18.3, 18.3, 18.2, 18.1, 
## 18, 17.8, 17.7, 17.6, 17.1, 16.5, 16.5, 16.5, 16.4, 16.3, 16, 
## 15.9, 15.9, 15.9, 15.8, 15.8, 15.9, 16, 16, 2.75, 2.71, 2.69, 
## 2.66, 2.62, 2.61, 2.6, 2.62, 2.6, 2.56, 2.54, 2.44, 2.19, 1.76, 
## 1.35, 0.93, 0.21, 0.01, -0.97, -1.46, -1.56, -1.72, -1.82, -1.72, 
## -1.44, -1.29, -1.15, -0.99, -0.82, -0.64, -0.39, 0.52, 0.79, 
## 1.29, 1.44, 0.93, 0.8, 0.68, 0.33, 0.28, 0.24, 0.33, 0.49, 0.92, 
## 1.18, 1.65, 1.85, 2.03, 2.39, 2.5, 2.45, 2.39, 2.13, 1.93, 1.86, 
## 1.87, 1.96, 2.08, 2.36, 2.4, 2.41, 2.4, 2.41, 2.44, 2.48, 2.62, 
## 2.73, 2.43, 1.47, 1.14, 0.63, -2.4, -3.35, -3.69, -3.98, -4.22, 
## -4.39, -4.45, -4.39, -4.24, -4.16, -3.93, -3.78, -3.64, -3.22, 
## -2.66, -1.97, -1.51, -1.44, -1.42, -1.52, -1.69, -1.77, -1.95, 
## -2.15, -2.43, -2.67, -2.87, -3.02, -3.52, -3.71, -3.85, -3.93, 
## -3.73, -3.58, -1.09, -1.57, -2.26, -2.77, -3.24, -3.98, -3.98, 
## -3.79, -3.65, -1.54, -1.12, -0.66, 0.64, 0.82, 1, 1.01, 1.13, 
## 1.24, 1.3, 1.09, 0.97, 0.71, 0.46, -0.18, -0.38, -0.57, -0.96, 
## -0.94, -0.88, -0.86, -0.97, -1.14, -1.4, -2.05, -1.89, -0.87, 
## -0.7, -0.56, -0.48, -0.43, -0.37, -0.3, -0.18, 0, 0.46, 0.7, 
## 1.51, 1.41, 1.25, 0.95, 0.41, 0.64, 0.65, 0.54, 0.3, -0.17, -0.7, 
## -1.23, -2.46, -2.86, -3.4, -3.71, -4.2, -4.14, -3.54, -3.38, 
## -3.12, -2.64, -2.34, -2.26, -2.23, -2.34, -2.46, -2.73, -2.84, 
## -2.9, -2.92, -2.9, -2.96, -3.05, -3.33, -3.25, -3.22, -3.22, 
## -3.25, -3.24, -3.26, -3.32, -3.55, -3.34, -3.02, -3, -2.99, -2.98, 
## -2.95, -2.9, -2.82, -2.72, -2.64, -2.39, -2.11, -2.08, -2.06, 
## -2.03, -1.85, -1.79, -1.59, -1.47, -0.69, -0.53, -0.94, -1.32, 
## -1.68, -2.74, -2.84, -2.99, -3.9, -4.53, -5.25, -5.37, -5.65, 
## -5.68, -5.62, -5.53, -5.39, -5.26, -5.06, -5.17, -5.17, -5.15, 
## -5.12, -5.09, -5.03, -4.8, -4.72, -4.62, -4.45, -4.14, -4.17, 
## -4.21, -4.27, -4.21, -4.09, -3.91, -3.35, -3.23, -3.47, -3.41, 
## -3.26, -3.07, -2.95, -2.84, -2.74, -2.45, -2.36, -2.29, -2.24, 
## -2.2, -2.16, -1.82, -1.58, -1.33, -1.06, -0.47, -0.17, 0.39, 
## 0.95, 1.16, 1.17, 0.58, 0.29, -0.16, -0.27, -0.64, -0.73, -0.95, 
## -0.82, -0.71, -0.02, 0.14, 0.28, 0.38, 0.42, 0.45, 0.55, 0.7, 
## 0.86, 1.28, 1.14, 0.94, 0.72, 0.17, -0.48, -0.79, -1.35, -2.21, 
## -2.36, -2.74, -3.61, -4.14, -4.29, -4.38, -4.29, -3.97, -1.85, 
## -1.57, -0.6, -0.24, 0.49, 0.89, 1.74, 2.54, 3.18, 3.63, 3.67, 
## 3.56, 3.39, 3.14, 2.5, 2.22, 2.05, 1.7, 1.59, 1.27, 0.89, 0.9, 
## 1.03, 1.02, 1.03, 1.12, 1.32, 1.38, 1.4, 1.27, 1.09, 1.09, 1.23, 
## 1.37, 1.32, 1.21, 1.05, 0.61, 0.22, -0.28, -0.58, -0.84, -1.09, 
## -1.32, -1.86, -1.84, -1.85, -1.91, -2.3, -2.51, -2.75, -3, -3.19, 
## -3.34, -3.44, -3.2, -3.03, -2.64, -1.87, -1.64, -0.83, -0.48, 
## -0.06, 2.14, 2.58, 2.97, 3.99, 4.21, 4.33, 3.9, 3.14, 2.86, 2.66, 
## 2.49, 2.28, 1.7, 1.42, 1.2, 0.98, 0.54, 0.43, 0.33, 0.14, 0.09, 
## 0.25, 0.41, 0.57, 0.81, 0.97, 1.04, 1.08, 1.14, 1.99, 2.08, 2.17, 
## 2.3, 2.39, 2.46, 2.59, 2.67, 2.56, 2.54, 2.56, 2.64, 2.6, 2.22, 
## 2.09, 1.94, 1.94, 1.97, 2.06, 2.11, 2.17, 2.13, 2.15, 2.22, 2.38, 
## 3.08, 4.51, 4.87, 5.93, 6.51, 7.01, 7.24, 7.94, 6.88, 6.74, 6.7, 
## 6.63, 6.62, 6.66, 6.69, 6.71, 6.72, 6.97, 7.14, 7.37, 7.5, 7.64, 
## 7.95, 8.24, 8.31, 8.32, 8.35, 8.33, 7.24, 7.21, 7.08, 7.04, 6.97, 
## 6.95, 6.85, 6.84, 6.97, 7.09, 8.05, 8.2, 8.21, 8.17, 8.06, 7.91, 
## 7.75, 7.64, 7.52, 7.4, 7.23, 7.15, 7.07, 7.01, 7.03, 6.99, 6.97, 
## 7.03, 7.18, 7.26, 7.34, 7.4, 7.49, 7.6, 7.6, 7.55, 7.49, 7.45, 
## 7.01, 6.85, 6.8, 6.56, 6.54, 6.51, 6.51, 6.51, 6.51, 6.72, 6.85, 
## 6.97, 7.12, 7.29, 7.47, 7.56, 7.59, 7.41, 7.27, 7.05, 6.99, 6.95, 
## 6.93, 6.9, 6.95, 7.06, 7.16, 7.15, 7.11, 7.11, 7.02, 6.98, 6.95, 
## 6.94, 6.93, 6.95, 7.01, 7.19, 7.24, 7.36, 7.41, 7.44, 7.45, 7.48, 
## 7.49, 7.5, 7.51, 7.51, 7.51, 7.49, 7.45, 7.45, 7.42, 7.38, 7.38, 
## 7.31, 7.23, 7.08, 7.03, 6.89, 6.83, 6.69, 6.65, 6.62, 6.6, 6.59, 
## 6.72, 6.86, 7.4, 7.51, 7.54, 7.48, 7.44, 7.44, 7.42, 7.42, 7.42, 
## 7.42, 7.44, 7.45, 7.48, 7.26, 7.17, 7.1, 6.85, 6.72, 6.81, 6.88, 
## 6.93, 7.17, 7.43, 7.78, 7.84, 8.13, 8.2, 8.25, 8.34, 8.3, 8.26, 
## 8.1, 7.95, 7.62, 7.46, 7.16, 6.96, 6.86, 6.79, 6.68, 6.63, 6.59, 
## 6.66, 6.75, 7.51, 7.72, 7.84, 7.97, 8.04, 8.08, 8, 7.95, 7.87, 
## 7.89, 7.95, 7.83, 7.82, 7.69, 7.63, 7.44, 7.41, 7.44, 7.49, 7.62, 
## 7.98, 8.1, 8.15, 8.23, 8.25, 8.23, 8.17, 7.71, 7.27, 7.2, 7.03, 
## 6.98, 6.77, 6.57, 6.49, 6.41, 6.59, 6.82, 7, 6.81, 6.75, 6.75, 
## 6.75, 6.73, 6.72, 6.71, 6.62, 6.34, 6.23, 6.18, 6.18, 6.06, 6.02, 
## 6.02, 6.07, 6.11, 6.2, 6.42, 6.53, 6.65, 6.75, 6.88, 7.05, 7.19, 
## 7.25, 7.07, 7.01, 6.9, 6.72, 6.61, 6.52, 6.52, 6.5, 6.48, 6.39, 
## 6.44, 6.57, 6.73, 6.87, 6.96, 6.97, 7.86, 7.82, 7.76, 7.71, 7.67, 
## 7.58, 7.44, 7.26, 7.21, 7.14, 7.08, 7.06, 7.05, 7.05, 7.1, 7.08, 
## 7, 6.65, 6.58, 6.48, 6.55, 6.74, 7, 7.04, 7.16, 7.13, 7.17, 7.2, 
## 7.35, 7.42, 7.42, 7.35, 7.34, 7.34, 7.29, 7.31, 7.24, 7.08, 7.03, 
## 6.74, 6.69, 6.67, 6.94, 7.2, 7.37, 7.64, 7.67, 7.58, 7.53, 7.48, 
## 7.29, 6.97, 6.89, 6.81, 6.76, 3.89, 3.83, 3.81, 3.83, 3.89, 3.92, 
## 3.83, 3.78, 3.73, 3.7, 3.84, 3.96, 4.12, 4.32, 4.56, 4.8, 5.29, 
## 5.36, 5.37, 5.27, 4.77, 4.67, 4.59, 4.44, 4.39, 4.33, 4.29, 4.51, 
## 4.53, 4.53, 4.49, 4.49, 4.51, 4.53, 4.54, 4.45, 4.37, 4.19, 4.15, 
## 4.11, 4.1, 4.8, 5.32, 5.3, 5.22, 5.16, 4.94, 4.77, 4.65, 4.49, 
## 4.39, 4.14, 3.9, 3.81, 3.63, 3.54, 3.48, 3.53, 3.69, 3.77, 3.98, 
## 4.06, 4.17, 4.21, 4.3, 4.42, 4.45, 4.41, 4.39, 4.34, 4.3, 4.19, 
## 4.03, 3.97, 3.91, 4.03, 4.16, 4.33, 4.5, 5.03, 4.63, 4.63, 4.57, 
## 4.54, 4.47, 4.41, 4.17, 3.83, 3.79, 3.81, 3.85, 3.9, 4.05, 4.07, 
## 4.11, 4.23, 4.28, 4.27, 4.35, 4.33, 4.32, 4.33, 4.34, 4.33, 4.32, 
## 4.29, 4.25, 4.26, 4.26, 4.22, 4.16, 4.01, 3.95, 3.77, 3.75, 3.76, 
## 3.78, 3.9, 4.01, 4.32, 4.46, 4.6, 4.7, 4.78, 4.86, 3.57, 3.57, 
## 3.54, 3.52, 3.4, 3.28, 3.19, 3.29, 3.81, 4.05, 4.46, 4.77, 4.93, 
## 4.95, 4.97, 4.97, 4.94, 4.88, 4.74, 4.66, 4.58, 4.51, 4.36, 4.26, 
## 4.16, 3.99, 3.72, 3.65, 3.62, 3.83, 3.98, 4.04, 4.1, 4.13, 4.12, 
## 4.1, 4.01, 3.9, 3.89, 3.88, 3.92, 4.1, 4.16, 4.21, 4.25, 4.61, 
## 4.97, 5.12, 5.36, 5.44, 5.45, 5.47, 5.48, 5.29, 4.77, 4.62, 4.46, 
## 4.31, 4.16, 4.07, 3.99, 3.92, 3.85, 3.8, 3.91, 4.02, 4.06, 4.12, 
## 4.17, 4.34, 4.36, 4.24, 4.2, 4.15, 4.03, 3.95, 3.94, 3.97, 4, 
## 4.07, 4.28, 4.42, 4.9, 4.98, 5.02, 4.92, 4.83, 4.77, 4.65, 4.62, 
## 4.51, 4.39, 4.31, 4.07, 4.01, 3.94, 3.95, 3.99, 4.03, 4.06, 4.08, 
## 4.1, 4.09, 4.01, 3.98, 3.97, 3.93, 3.92, 3.91, 4.03, 4.05, 4.16, 
## 5.08, 5.38, 5.39, 5.39, 5.39, 5.38, 5.37, 5.36, 5.37, 5.35, 5.2, 
## 5.01, 4.63, 4.51, 4.03, 3.91, 3.54, 3.37, 3.33, 3.32, 3.49, 3.59, 
## 3.79, 3.86, 3.97, 4, 4.04, 4.05, 4.08, 4.09, 4.09, 4.11, 4.1, 
## 4.08, 4.07, 4.1, 4.22, 4.58, 5.72, 3.9, 3.91, 3.97, 3.97, 4, 
## 4.03, 4.06, 4.09, 4.1, 4.12, 4.18, 4.21, 4.24, 4.28, 4.33, 4.44, 
## 4.46, 4.48, 4.46, 4.35, 4.31, 4.31, 4.39, 4.6, 4.86, 4.65, 4.54, 
## 4.24, 4.13, 4.03, 3.99, 4.02, 4.68, 4.92, 4.99, 4.98, 4.94, 4.9, 
## 4.82, 4.84, 4.91, 5.01, 5.04, 5.08, 5.1, 5.14, 5.15, 5.15, 5.1, 
## 5.08, 5.02, 5, 4.97, 4.98, 4.99, 4.99, 5, 5, 5, 5.01, 5.02, 5.02, 
## 5.02, 5.04, 5.04, 5.07, 5.09, 5.1, 5.04, 4.97, 4.96, 4.95, 4.94, 
## 4.92, 4.91, 4.9, 4.91, 4.9, 4.92, 4.9, 4.92, 4.93, 4.96, 5.01, 
## 5.01, 4.99, 4.99, 4.98, 4.97, 5, 4.95, 4.96, 4.97, 4.98, 4.99, 
## 5, 5.02, 5.06, 5.08, 5.02, 4.98, 4.93, 4.93, 4.92, 4.93, 4.95, 
## 4.91, 4.89, 4.85, 4.83, 4.77, 4.66, 4.58, 4.52, 4.46, 4.38, 4.27, 
## 4.25, 4.23, 4.24, 4.29, 4.5, 4.57, 4.63, 4.65, 4.69, 4.76, 4.83, 
## 4.91, 5.01, 5.38, 5.41, 5.48, 5.53, 5.69, 5.85, 6.2, 5.97, 5.88, 
## 5.64, 5.54, 5.4, 5.63, 5.69, 5.79, 5.22, 5.19, 5.18, 5.19, 5.23, 
## 5.29, 5.29, 5.28, -41.9, -41.8, -41.7, -41.7, -41.7, -41.7, -41.7, 
## -41.7, -41.7, -41.7, -41.7, -41.6, -41.6, -41.6, -41.7, -41.7, 
## -41.8, -41.8, -41.8, -41.8, -41.6, -41.7, -41.7, -41.8, -41.8, 
## -41.8, -41.8, -41.8, -41.8, -41.7, -41.7, -41.7, -41.7, -41.7, 
## -41.7, -41.6, -41.6, -41.6, -41.6, -41.6, -41.7, -41.7, -41.7, 
## -41.7, -41.7, -41.7, -41.8, -41.8, -41.9, -41.9, -41.9, -41.9, 
## -42, -42, -41.9, -41.9, -41.9, -41.9, -41.9, -41.9, -41.9, -41.9, 
## -41.8, -41.7, -41.7, -41.6, -41.7, -41.7, -41.7, -41.7, -41.8, 
## -41.8, -41.8, -41.7, -41.7, -41.8, -41.8, -41.9, -41.9, -41.9, 
## -41.9, -41.9, -41.9, -42, -42, -41.9, -41.9, -42, -42, -42, -42, 
## -42, -42, -41.9, -41.8, -41.8, -41.8, -41.8, -41.9, -41.9, -42, 
## -42, -42, -42, -42, -42, -42, -41.9, -41.9, -41.9, -41.9, -41.9, 
## -41.9, -42, -42, -42, -42, -41.9, -41.9, -41.9, -41.8, -41.7, 
## -41.7, -41.7, -41.7, -41.8, -41.9, -42, -41.5, -41.6, -41.8, 
## -41.8, -41.9, -42, -42, -42.1, -42.2, -42.2, -42.2, -42.3, -42.3, 
## -42.3, -42.4, -42.4, -42.5, -42.5, -42.5, -42.5, -42.4, -42.4, 
## -42.4, -42.3, -42.3, -42.3, -42.3, -42.2, -42.2, -42.2, -42.1, 
## -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, 
## -42.1, -42.1, -42.1, -42.1, -42.1, -42.2, -42.2, -42.2, -42.3, 
## -42.2, -42.2, -42.2, -42.1, -42.1, -42.1, -42.1, -42, -42, -42, 
## -42, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, -42.1, 
## -42.1, -42, -42, -42, -42, -41.9, -41.9, -41.9, -41.9, -42, -42, 
## -42, -41.9, -41.9, -41.9, -41.9, -41.9, -41.9, -42, -42, -42, 
## -42, -42, -42, -42, -42, -42, -42, -42, -42.1, -42.1, -42.1, 
## -42.2, -42.1, -42.1, -42.1, -42, -42, -41.9, -41.8, -41.8, -41.9, 
## -41.9, -42, -42, -42, -42, -42, -41.9, -41.9, -41.9, -41.9, -41.9, 
## -41.9, -41.9, -41.9, -41.9, -41.9, -41.9, -41.8, -41.8, -41.7, 
## -41.7, -41.7, -41.7, -41.7, -41.8, -41.9, -42, -42.1, -42.2, 
## -42.2, -42.2, -42.1, -42.1, -42, -42, -42, -42, -42, -41.9, -41.9, 
## -41.9, -41.9, -41.9, -41.9, -41.9, -41.8, -41.8, -41.5, -41.3, 
## -41.4, -41.4, -41.4, -41.6, -41.7, -41.8, -41.8, -41.8, -41.8, 
## -41.7, -41.7, -41.6, -41.4, -41.3, -41.4, -41.5, -42.1, -43.1, 
## -44.1, -45.1, -45.4, -45.6, -45.8, -46, -46.1, -46.4, -46.6, 
## -46.9, -47.7, -48, -48.3, -48.7, -49.3, -49.6, -49.8, -50.1, 
## -50.1, -49.6, -45.6, -45.6, -45.6, -45.6, -45.7, -45.8, -45.9, 
## -46.2, -46.3, -46.4, -46.4, -46.4, -46.4, -46.4, -46.4, -46.5, 
## -48.7, -47.6, -47.4, -46.3, -46.1, -45.6, -45.5, -45.4, -45.3, 
## -45.2, -45.2, -45.2, -45.2, -45.2, -45.3, -45.6, -45.9, -45.9, 
## -45.9, -45.8, -45.8, -45.9, -45.9, -45.8, -45.6, -45.5, -42.1, 
## -42.1, -42.1, -42, -41.9, -41.9, -41.9, -41.9, -42, -42, -42.1, 
## -42.1, -42.2, -42.3, -42.3, -42.4, -42.4, -42.4, -42.4, -42.3, 
## -42, -42, -42.1, -42.1, -42.1, -42, -42, -42, -42, -42, -42.1, 
## -42, -42, -42, -42, -42, -41.9, -41.8, -41.8, -41.7, -41.6, -41.6, 
## -41.5, -41.9, -41.9, -41.9, -41.9, -42, -42, -42, -42, -42, -42, 
## -42, -41.9, -41.8, -41.8, -41.8, -41.8, -41.8, -41.8, -41.8, 
## -41.8, -41.8, -41.8, -41.9, -41.9, -41.9, -42, -42, -42, -41.8, 
## -41.7, -41.7, -41.6, -41.6, -41.6, -41.7, -41.9, -41.9, -41.9, 
## -41.9, -41.9, -41.9, -41.9, -41.9, -41.9, -41.9, -41.9, -41.7, 
## -41.7, -41.7, -41.7, -41.8, -41.9, -41.9, -42, -42, -42, -42, 
## -42, -41.9, -41.8, -41.8, -41.8, -41.8, -41.6, -41.6, -41.6, 
## -41.6, -41.6, -41.6, -41.6, -41.6, -41.6, -41.5, -41.4, -41.4, 
## -41.4, -41.5, -41.4, -41.4, -41.4, -41.4, -41.4, -41.5, -41.5, 
## -41.5, -41.5, -41.5, -41.8, -41.8, -41.8, -41.8, -41.8, -41.8, 
## -41.8, -41.7, -41.7, -41.7, -41.6, -41.6, -41.6, -41.6, -41.7, 
## -41.7, -41.7, -41.7, 14.4, 14.3, 14.2, 14.1, 14, 14.1, 14.3, 
## 14.9, 14.9, 15, 15, 15.2, 15.2, 15.3, 14.9, 14.6, 14.4, 14.1, 
## 14.5, 14.6, 14.7, 14.8, 14.8, 14.7, 14.6, 14.5, 14.4, 13.4, 13.5, 
## 13.5, 13.4, 13.4, 13.5, 13.6, 13.9, 14, 14.1, 14.2, 14.4, 14.5, 
## 14.6, 14.8, 15, 15.1, 15.2, 15.2, 15.2, 15.2, 15.2, 15.1, 15.1, 
## 15.1, 15.5, 15.6, 16, 16, 16.1, 16.1, 16.1, 15.9, 15.7, 15.7, 
## 15.6, 15.6, 15.5, 15.5, 15.5, 15.5, 15.5, 15.5, 15.6, 15.7, 15.7, 
## 15.8, 15.8, 16, 16, 16.1, 16.1, 16.1, 16.1, 16.1, 16.1, 16, 16, 
## 15.9, 15.8, 15.8, 15.8, 15.8, 15.8, 15.9, 16, 16.1, 16.1, 16.2, 
## 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.3, 16.2, 16.2, 16.1, 
## 15.9, 15.8, 15.8, 15.7, 15.6, 15.6, 15.6, 15.6, 15.6, 15.7, 15.8, 
## 15.8, 15.9, 15.9, 16, 16, 16, 16.1, 16.1, 16.2, 16.4, 16.5, 16.6, 
## 16.6, 16.6, 16.7, 16.7, 16.7, 16.7, 16.6, 16.7, 16.7, 16.7, 16.7, 
## 16.7, 16.6, 16.5, 16.4, 16.4, 16.3, 16.2, 16.2, 16.2, 16.1, 16.2, 
## 16.2, 16.2, 16.3, 16.2, 16.2, 16.2, 16.2, 16.2, 16.2, 16.2, 16.3, 
## 16.3, 16.3, 16.3, 16.4, 16.4, 16.4, 16.5, 16.5, 16.5, 16.6, 16.6, 
## 16.5, 16.5, 16.5, 16.5, 16.4, 16.4, 16.4, 16.4, 16.4, 16.4, 17.5, 
## 17.5, 17.5, 17.5, 17.5, 17.5, 17.5, 17.6, 17.6, 17.7, 17.5, 17.4, 
## 17.4, 17.4, 17.7, 17.7, 17.7, 17.7, 16.3, 16.3, 16.3, 16.4, 16.4, 
## 16.4, 16.4, 16.4, 16.4, 16.3, 16.3, 16.2, 16.2, 16.2, 16.2, 16.1, 
## 16.1, 16.1, 16, 15.9, 15.9, 15.9, 15.9, 15.9, 15.9, 15.9, 15.9, 
## 15.9, 15.9, 15.9, 15.8, 15.8, 16.2, 16.2, 16.1, 16.1, 16, 16, 
## 16, 16, 16, 16, 16, 16.1, 16.1, 16.1, 16.3, 16.5, 16.5, 16.4, 
## 16.4, 16.3, 16.2, 16.1, 16.1, 16, 15.9, 15.9, 16, 16, 16, 16, 
## 16, 16, 16, 16, 16.1, 16.2, 16.2, 16.2, 16.3, 16.3, 16.4, 16.4, 
## 16.4, 16.2, 16.3, 16.3, 16.4, 16.4, 16.6, 16.6, 16.7, 16.8, 16.8, 
## 16.8, 16.8, 16.8, 16.7, 16.5, 16.5, 16.4, 16.3, 16.3, 15.9, 16.1, 
## 16.1, 16.2, 16.2, 16.1, 16.1, 16.1, 16.1, 16, 15.9, 15.8, 15.8, 
## 15.8, 15.8, 15.8, 15.8, 15.8, 15.9, 15.9, 15.9, 15.9, 14.4, 14.4, 
## 14.4, 14.4, 14.4, 14.5, 14.6, 14.7, 14.8, 14.9, 15, 15.1, 15.2, 
## 15.2, 15.3, 15.3, 15.3, 15.3, 15.2, 15.1, 15, 14.9, 5.44, 5.48, 
## 5.48, 5.5, 5.5, 5.46, 5.43, 5.15, 5.11, 5.04, 4.99, 4.98, 4.99, 
## 5.03, 5.04, 5.21, 5.23, 5.24, 5.26, 5.3, 5.33, 5.35, 5.38, 5.4, 
## 5.41, 5.84, 5.89, 5.68, 5.6, 5.12, 4.77, 4.59, 4.28, 4.18, 4.07, 
## 4.05, 3.96, 3.91, 3.85, 3.76, 3.73, 3.78, 3.83, 3.87, 3.87, 3.87, 
## 4.73, 4.69, 4.63, 4.54, 4.44, 4.34, 3.69, 3.53, 3.42, 3.36, 3.33, 
## 3.3, 3.27, 3.21, 3.18, 3.21, 3.22, 3.2, 3.23, 4.23, 4.08, 4.01, 
## 3.95, 3.89, 3.78, 3.75, 3.78, 3.91, 4.05, 4.63, 4.84, 5.02, 5.4, 
## 5.23, 5.12, 5.02, 4.86, 4.82, 4.81, 4.8, 4.76, 4.73, 4.68, 4.63, 
## 4.47, 4.44, 4.42, -3.34, -3.43, -3.52, -3.63, -3.71, -3.65, -3.67, 
## -3.63, -2.32, -1.98, -1.86, -1.75, -1.67, -1.51, -1.1, -0.97, 
## -0.67, -0.27, 0.38, -0.35, -0.99, -1.47, -4.07, -4.38, -4.37, 
## -4.28, -4.19, -4.08, -3.52, -3.21, -2.89, -2.65, -2.24, -2.14, 
## -2.16, -2.2, -2.24, -2.34, -2.47, -2.65, -2.96, -3.11, -3.27, 
## -3.39, -3.39, -2.94, -3.12, -3.14, -2.8, -2.54, -2.29, -2.08, 
## -1.94, -2.06, -2.69, -2.83, -2.9, -2.5, -2.34, -2.15, -1.99, 
## -1.84, -1.74, -1.66, -1.52, -1.48, -1.44, -1.28, -1.13, -0.76, 
## -0.37, -0.19, 0.12, 0.19, 0.25, 0.29, -0.62, -4.03, -4.17, -4.6, 
## -4.67, -4.57, -4.49, -4.41, -4.31, -4.18, -3.92, -3.66, -3.5, 
## -3.28, -3.08, -2.99, -2.92, -2.91, -2.93, -2.97, -2.91, -2.88, 
## -2.84, -2.8, -2.78, -2.86, -3.75, -3.78, -3.51, -3.17, -2.86, 
## -2.55, -2.43, -2.3, -2.08, -1.98, -1.87, -1.59, -1.08, -0.9, 
## -0.72, -0.53, -0.17, -0.17, -0.41, -0.78, -1.7, -2.49, -2.66, 
## -2.86, -3.15, -3.41, 25.4, 25.5, 25.5, 25.5, 25.5, 25.5, 25.4, 
## 25.4, 25.3, 25.3, 25.3, 25.3, 25.3, 25.6, 25.6, 25.7, 25.8, 25.8, 
## 25.8, 25.8, 25.8, 25.7, 25.5, 25.3, 25.3, 25.3, 25.6, 25.7, 25.8, 
## 26, 25.9, 25.6, 25.6, 25.5, 25.3, 25.3, 25.2, 25.2, 25.2, 25.4, 
## 25.5, 25.5, 25.5, 25.5, 25.5, 25.5, 25.5, 25.5, 25.5, 25, 25.2, 
## 25.3, 25.3, 25.4, 25.5, 25.7, 25.7, 25.7, 25.6, 25.5, 25.5, 25.6, 
## 25.5, 25.3, 25.1, 25.1, 25.2, 25.2, 25.3, 25.5, 25.4, 25.4, 25.4, 
## 25.3, 25.2, 25.2, 25.2, 25.2, 25.1, 25.1, 25.2, 25.2, 25.3, 25.3, 
## 25.4, 25.4, 25.8, 6.64, 6.74, 6.82, 7.04, 7.14, 7.18, 7.33, 7.39, 
## 7.45, 7.49, 7.53, 7.55, 7.54, 7.54, 7.49, 7.38, 7.28, 7.18, 6.96, 
## 6.36, 5.99, 6.08, 6.18, 6.24, 6.31, 6.34, 6.34, 6.47, 6.81, 6.91, 
## 7.01, 7.04, 7.06, 7.09, 7.1, 7.13, 7.16, 7.17, 7.15, 7.2, 7.16, 
## 7.23, 7.22, 7.18, 7.14, 7.31, 7.59, 7.64, 7.68, 7.71, 7.79, 7.86, 
## 7.88, 7.87, 43.7, 44.4, 45.1, 46.2, 47.4, 47.8, 45.6, 46.3, 46.8, 
## 49.2, 50.5, 53.5, 56.3, 56.1, 56.3, 57.2, 57.4, 57.6, 57.7, 57.8, 
## 58.2, 58, 58.5, 58.8, 59, 59.4, 59.7, 59.8, 60, 60.1, 60.1, 60, 
## 59.9, 59.8, 59.9, 59.9, 60.3, 60.3, 60.2, 60.1, 60, 5.82, 5.82, 
## 5.85, -36.3, -36.6, -36.7, -36.8, -37, -37.2, -37.4, -37.2, -37.1, 
## -37, -36.8, -36.8, -36.9, -37, -37.1, -37.2, -37.8, -38.1, -38.2, 
## -38.4, -38.4, -38.4, -38.3, -37.2, -37, -36.7, -36.6, -36.1, 
## -35.9, -35.9, -35.1, -34.5, -33.4, -33, -32.6, -32.4, -32.2, 
## -31.9, -31.4, -31.1, -30.1, -29.7, -29.1, -29.1, -28.6, -28.4, 
## -28.2, -28.1, -28.1, -28.1, -27.9, -28.1, -29.6, -30.2, -30.7, 
## -30.8, -30.9, -31, -31.1, -31.2, -31.7, -32, -32.4, -32.6, -32.6, 
## -32.6, -32.6, -32.6, -33.2, -33.6, -34.6, -35.7, -36.2, -38.7, 
## -40.1, -41.2, -42.3, -42.5, -42.8, -42.6, -42.1, -41.9, -41, 
## -40.1, -39.8, -39.2, -38.9, -38.6, -38.5, -39.8, -40.3, -40.5, 
## -39.9, -39.5, -39.1, -37.6, -37.1, -36.4, -36, -35.2, -34.4, 
## -33.9, -32.6, -32.2, -31.9, -31.8, -31.6, -31.2, -30.5, -30.4, 
## -30.3, -31.1, -32.4, -33.3, -34.3, -36, -37.4, -38.8, -39.6, 
## -40.4, -42.3, -43.2, -44.2, -45.1, -47.9, -48.8, -51.5, -52, 
## -53, -53.2, -53.9, -54.4, -55.8, -54.9, -54.7, -53.9, -53.8, 
## -53.5, -53.3, -38.9, -39.6, -40.2, -40.4, -40.4, -40.4, -40.3, 
## -40.2, -40.3, -40.5, -40.6, -40.7, 7.23, 5.9, 5.59, 5.27, 4.61, 
## 4.29, 3.94, 3.68, 3.46, 3, 2.18, 2.01, 1.99, 2.23, 2.78, 3.08, 
## 3.73, 4.93, 5.01, 5.02, 5.01, 4.99, 5, 5.02, 5.07, 5.1, 5.09, 
## 5.17, 5.29, 5.58, 5.73, 6.02, 6.2, 6.69, 6.81, 6.87, 6.85, 6.61, 
## 6.24, 5.98, 5.21, 4.93, 4.43, 3.83, 4.06, 4.3, 4.58, 5.19, 5.48, 
## 5.77, 6.04, 6.29, 6.73, 7.17, 7.37, 7.57, 7.87, 8.1, 8.16, 8.14, 
## 8.07, 7.97, 7.29, 7.07, 6.87, 6.68, 6.48, 6.09, 5.99, 5.83, 5.67, 
## 5.51, 5.38, 5.19, 5.03, 4.85, 4.75, 4.78, 4.89, 4.93, 5.02, 5.2, 
## 5.38, 5.63, 5.55, 5.45, 5.08, 4.79, 4.5, 4.19, 4.1, 3.84, 4.16, 
## 4.71, 5.38, 6.31, 7.42, 7.78, 7.74, 7.7, 7.63, 7.48, 7.25, 6.98, 
## 6.3, 5.64, 5.38, 5.22, 5.24, 5.34, 5.68, 5.9, 6.13, 6.31, 6.44, 
## 6.54, 6.62, 6.67, 6.68, 6.69, 6.68, 6.7, 6.83, 6.91, 6.82, 6.61, 
## 6.42, 6.18, 5.77, 5.33, 4.98, 4.64, 4.21, 3.84, 2.26, 2.08, 2.39, 
## 2.97, 3.63, 4.04, 4.36, 4.74, 4.9, 5.09, 5.31, 5.6, 6.1, 6.38, 
## 7.77, 8.08, 8.33, 8.53, 8.65, 8.76, 8.9, 8.97, 8.96, 8.74, 8.38, 
## 8.16, 7.89, 7.16, 6.74, 6.36, 5.57, 5.15, 4.42, 3.88, 3.66, 3.72, 
## 4.58, 4.67, 5.02, 5.2, 5.56, 5.57, 5.81, 6.09, 6.14, 6.17, 6.2, 
## 6.31, 6.26, 6.17, 5.94, 5.74, 4.55, 4.43, 4.39, 4.54, 4.75, 4.8, 
## 4.88, 4.8, 4.67, 4.59, 4.49, 4.38, 3.57, 2.81, 2.7, 2.65, 2.92, 
## 3.53, 4.1, 4.41, 4.71, 5.25, 5.74, 5.82, 5.82, 5.8, 5.83, 5.92, 
## 6.03, 6.16, 6.4, 6.47, 6.55, 6.66, 6.73, 6.82, 6.95, 7.68, 7.55, 
## 7.17, 6.32, 6.08, 5.22, 4.17, 4, 3.87, 3.79, 3.73, 3.76, 3.82, 
## 4.01, 4.08, 4.16, 4.42, 4.76, 5.07, 5.25, 5.4, 5.7, 5.74, 5.8, 
## 5.64, 5.39, 5.06, 4.58, 3.91, 3.65, 3.63, 3.6, 3.58, 3.6, 3.66, 
## 3.8, 3.7, 3.79, 3.88, 3.99, 4.18, 4.28, 4.38, 4.43, 4.47, 4.5, 
## 4.56, 4.64, 4.93, 5.64, 5.76, 5.81, 5.83, 5.78, 5.66, 5.45, 5.22, 
## 5, 4.81, 4.65, 4.64, 4.83, 4.85, 4.8, 4.77, 4.78, 4.73, 4.65, 
## 4.56, 4.46, 4.67, 4.77, 4.9, 5.13, 5.44, 5.83, 5.88, 5.92, 5.98, 
## 6.04, 5.93, 5.84, 5.77, 5.71, 5.69, 5.67, 5.62, 5.34, 4.19, 3.43, 
## 3.28, 3.01, 2.86, 2.73, 2.99, 3.13, 3.3, 4.07, 4.26, 4.45, 5.46, 
## 6.44, 6.77, 7.31, 7.55, 7.78, 7.67, 6.85, 6.17, 5.86, 5.62, 5.28, 
## 5.43, 6, 6.19, 6.27, 6.81, 6.94, 6.96, 6.95, 6.78, 6.71, 6.43, 
## 6.34, 6.19, 5.87, 5.57, 5.32, 5.16, 4.91, 4.68, 4.38, 3.81, 3.25, 
## 2.61, 2.38, 3.24, 2.79, 2.71, 2.63, 2.59, 2.87, 2.95, 3.06, 3.56, 
## 3.8, 4.06, 4.74, 4.88, 4.96, 5.06, 5.19, 5.29, 5.41, 5.47, 5.72, 
## 5.91, 5.91, 5.88, 5.82, 5.71, 5.62, 5.58, 5.52, 5.5, 5.46, 5.51, 
## 5.4, 5.27, 4.68, 4.68, 5, 5.41, 5.67, 5.91, 6.24, 6.35, 6.39, 
## 6.4, 6.35, 6.3, 6.22, 6.06, 6.03, 5.94, 5.83, 5.68, 5.51, 5.37, 
## 4.86, 4.56, 4.49, 4.33, 4.12, 3.77, 3.32, 3.18, 3.08, 2.89, 2.65, 
## 2.57, 2.52, 2.54, 2.63, 2.71, 2.79, 3.17, 3.84, 4.12, 4.37, 5.51, 
## 5.63, 5.63, 5.64, 5.64, 5.64, 5.63, 5.61, 5.62, 5.65, 5.79, 5.98, 
## 6.04, 6.13, 6.21, 6.24, 6.28, 6.31, 6.33, 6.42, 6.46, 6.48, 6.51, 
## 6.53, 6.63, 6.79, 6.83, 6.87, 7, 7, 7.01, 7.03, 7.04, 7.05, 7.05, 
## 7.07, 7.14, 7.31, 7.45, 7.55, 7.77, 7.8, 7.81, 8, 8.55, 8.91, 
## 9.04, 9, 8.88, 8.73, 8.67, 8.51, 8.5, 8.45, 8.39, 8.34, 8.26, 
## 7.96, 7.88, 7.8, 7.73, 7.67, 7.47, 7.41, 7.35, 7.5, 7.55, 7.63, 
## 7.66, 7.87, 7.93, 8.07, 8.24, 8.28, 8.38, 25.3, 25.4, 26.6, 27.4, 
## 27.6, 27.9, 28.2, 28.1, 27.3, 26.8, 27, 27.2, 27.4, 27.7, 28, 
## 28.4, 28.6, 28.7, 28.9, 29.1, 29.1, 24, 23.8, 23.6, 23.2, 24.1, 
## 24.8, 25.7, 26.4, 26.4, 26.3, 25.5, 25.2, 24.9, 24.6, 24.5, 24.4, 
## 24.3, 24.6, 25.3, 25.4, 25.7, 25.9, 26, 26.1, 26.2, 27.1, 27.7, 
## 27.8, 27.8, 27.6, 27.4, 27.2, 26.9, 25.5, 24.6, 24.2, 22.6, 22.5, 
## 22, 21.7, 21.5, 21.5, 21.6, 21.8, 22.1, 23.2, 23.3, 23.6, 23.8, 
## 24.6, 24.7, 24.5, 24.5, 24.4, 24.3, 24, 23.8, 23.7, 23.6, 23.5, 
## 23.5, 23.9, 24.1, 24.2, 24.3, 24.4, 24.5, 24.5, 24.5, 24.5, 24.6, 
## 24.6, 24.9, 25.4, 26, 26.2, 26.9, 27.2, 27.1, 26.7, 26.4, 25.7, 
## 24, 23.2, 22.7, 22.3, 21.4, 21.3, 21.5, 21.5, 21.6, 21.6, 21.6, 
## 21.5, 21.5, 21.5, 21.7, 22.4, 22.7, 22.7, 22.8, 23, 23, 22.9, 
## 22.9, 23.5, 23.6, 23.8, 16, 16, 16, 16, 16, 15.9, 15.8, 15.9, 
## 16, 16.1, 16.3, 16.4, 16.6, 16.7, 16.7, 16, 15.7, 15.1, 14.6, 
## 14, 13.2, 12.8, 12.4, 12.2, 12, 11.7, 9.36, 9.08, 7.64, 7.49, 
## 7.35, 7.09, 6.42, 6.42, 6.81, 7.96, 8.2, 8.39, 8.9, 8.89, 8.86, 
## 8.85, 8.87, 9.04, 9.19, 9.47, 9.59, 9.66, 9.73, 9.81, 10, 10.1, 
## 10.1, 10.1, 10.1, 10, 10, 9.95, 9.88, 9.45, 9.37, 9.29, 8.95, 
## 8.23, 8.03, 7.85, 7.85, 8.92, 9.62, 10.6, 10.6, 10.7, 10.7, 10.6, 
## 10.6, 10.2, 9.82, 9.59, 8.99, 8.79, 8.62, 8.46, 8.39, 6.99, 6.89, 
## 6.69, 6.65, 6.59, 6.44, 6.26, 6.1, 6.54, 6.95, 7.05, 7.22, 7.36, 
## 7.5, 7.6, 7.7, 7.89, 8.24, 8.34, 8.45, 8.67, 8.74, 8.9, 8.99, 
## 9.04, 9.01, 8.98, 8.97, 8.88, 8.83, 8.78, 8.57, 8.26, 8.14, 8.1, 
## 8.04, 8, 8, 8.11, 8.25, 8.3, 8.34, 8.39, 8.54, 8.61, 8.9, 9.1, 
## 9.36, 9.52, 9.47, 9.4, 8.87, 8.33, 8.01, 7.87, 7.81, 7.65, 7.64, 
## 7.39, 7.28, 7.14, 7.06, 6.93, 6.8, 6.38, 6.26, 6.14, 6, 5.84, 
## 5.8, 5.69, 5.63, 5.62, 5.63, 5.82, 5.92, 6.25, 6.38, 6.53, 6.67, 
## 6.82, 6.97, 7.1, 7.2, 7.28, 7.37, 7.67, 7.77, 7.9, 8.03, 8.16, 
## 8.58, 8.71, 8.92, 9, 9.1, 9.18, 9.6, 9.73, 9.79, 9.8, 9.79, 9.78, 
## 9.78, 9.79, 9.8, 9.84, 9.82, 9.8, 9.69, 9.65, 9.82, 9.8, 9.78, 
## 9.78, 9.81, 10, 10.1, 10.3, 10.4, 10.6, 10.7, 10.9, 10.9, 10.9, 
## 10.9, 10.8, 10.5, 9.71, 8.95, 8.32, 7.24, 6.93, 5.94, 5.54, 5.63, 
## 5.76, 5.88, 5.96, 5.63, 5.56, 5.79, 5.82, 5.87, 5.96, 5.86, 5.79, 
## 5.66, 6, 6.98, 7.48, 7.76, 8, 8.51, 9.15, 9.71, 9.93, 11, 11.1, 
## 11.4, 11.6, 11.7, 11.8, 11.8, 11.8, 11.7, 11.5, 11.4, 11.3, 11.2, 
## 11.1, 10.9, 10.9, 10.9, 10.8, 10.7, 10.6, 10.5, 10.5, 10.5, 10.5, 
## 10.9, 12.4, 13.1, 13.4, 13.9, 13.7, 13.6, 12.9, 12.8, 12.7, 10.4, 
## 10.2, 9.26, 8.89, 8.29, 8.01, 7.74, 7.5, 7.33, 7.22, 7.1, 6.83, 
## 6.88, 6.99, 7.36, 7.78, 8, 8.33, 8.53, 8.69, 9.12, 9.37, 9.6, 
## 9.81, 10.4, 10.7, 11.6, 12, 12.2, 12.2, 12.2, 11.9, 11.8, 11.4, 
## 11.5, 11.5, 11.8, 11.9, 12, 12.1, 12.3, 12.3, 12.3, 12.4, 12.7, 
## 13.2, 13.5, 14, 14.4, 14.5, 14.4, 14.3, 14.1, 13.8, 13.3, 13.2, 
## 13, 12.5, 11.7, 11.5, 11.3, 10.5, 9.03, 8.24, 7.45, 6.7, 6.64, 
## 6.63, 6.97, 7.19, 7.4, 7.78, 7.92, 8.07, 8.09, 7.94, 7.74, 7.52, 
## 7.4, 7.28, 7.18, 7.06, 6.93, 6.87, 6.81, 6.67, 6.72, 6.81, 6.91, 
## 7.18, 7.61, 8.18, 8.69, 9.17, 9.4, 9.97, 10.1, 10.2, 10.3, 10.4, 
## 10.5, 10.3, 10.3, 10.1, 10, 9.99, 8.99, 8.96, 8.96, 8.98, 9.02, 
## 9.09, 9.19, 9.36, 9.25, 9.12, 8.95, 8.88, 8.95, 9.07, 9.24, 9.39, 
## 9.55, 9.8, 9.78, 9.53, 9.41, 8.93, 8.52, 8.46, 7.99, 7.92, 7.81, 
## 7.63, 7.39, 6.86, 6.68, 6.43, 6.42, 6.63, 6.65, 6.58, 6.46, 6.04, 
## 5.93, 5.59, 5.46, 4.84, 4.38, 4.14, 4.23, 4.32, 4.44, 4.58, 5.34, 
## 6.14, 6.32, 6.44, 6.68, 6.76, 6.8, 6.8, 6.89, 6.78, 6.72, 6.65, 
## 6.58, 6.51, 6.4, 6.22, 5.86, 5.68, 5.53, 5.58, 5.69, 5.96, 6.22, 
## 6.35, 6.49, 6.6, 6.74, 6.95, 4.62, 4.7, 4.78, 4.86, 4.95, 5.06, 
## 5.21, 5.33, 5.46, 5.64, 5.77, 5.89, 6.23, 6.87, 7.37, 8.13, 8.34, 
## 9.22, 9.81, 9.85, 9.83, 9.7, 9.51, 9.41, 9.31, 8.94, 8.58, 8.42, 
## 8.25, 8.12, 8.05, 7.94, 7.9, 7.88, 7.88, 7.89, 7.98, 8.29, 8.36, 
## 8.64, 8.93, 9.13, 9.36, 9.55, 9.97, 10.4, 10.5, 12, 12.6, 12.6, 
## 12.5, 12.2, 10.7, 10.1, 9.85, 9.69, 9.55, 9.69, 10.2, 8.94, 8.85, 
## 8.63, 8.56, 8.44, 8.23, 8.01, 7.16, 7.4, 6.85, 6.71, 6.73, 6.62, 
## 6.61, 7.09, 7.62, 8.13, 8.74, 9.42, 9.63, 9.96, 10.5, 10.6, 10.5, 
## 10, 9.62, 9.38, 9.16, 8.95, 8.6, 8.4, 8.35, 8.49, 8.5, 8.51, 
## 8.53, 8.62, 8.74, 9.23, 10.2, 9.33, 9.24, 9.3, 9.65, 9.71, 9.8, 
## 10.1, 10.1, 10.2, 10.7, 10.5, 10.3, 10, 9.47, 9.15, 8.8, 8.28, 
## 8.17, 7.87, 7.16, 6.77, 5.25, 5.08, 4.99, 4.9, 4.97, 5, 5.05, 
## 5.23, 5.57, 6.4, 6.51, 6.63, 6.76, 7.1, 7.15, 7.6, 8.34, 8.69, 
## 9.37, 9.49, 9.61, 9.72, 9.77, 9.75, 9.67, 9.56, 9.46, 9.39, 9.2, 
## 8.83, 8.72, 8.58, 8.43, 8.25, 8.04, 7.87, 7.7, 7.54, 7.19, 6.74, 
## 6.67, 6.64, 6.85, 7.05, 7.14, 7.29, 7.5, 7.96, 7.86, 7.53, 6.22, 
## 5.44, 5.05, 4.35, 3.84, 3.47, 3.35, 3.17, 3.07, 2.93, 2.88, 3.18, 
## 3.42, 3.53, 3.35, 3.18, 3.02, 2.35, 2.55, 3.23, 3.6, 4.84, 4.89, 
## 4.69, 4.52, 4.17, 4.39, 4.61, 6.16, 6.26, 6.43, 6.54, 6.71, 6.78, 
## 7.16, 7.26, 7.54, 7.62, 7.66, 7.68, 7.67, 7.64, 7.61, 7.43, 7.38, 
## 7.32, 7.25, 7.21, 7.11, 6.82, 6.69, 6.56, 6.41, 6.05, 5.7, 5.68, 
## 5.67, 5.65, 5.63, 5.47, 5.42, 5.39, 5.37, 5.36, 8.26, 8.16, 8.05, 
## 7.94, 7.68, 7.54, 7.4, 7.26, 7.11, 6.92, 6.52, 5.33, 5.22, 5.28, 
## 5.32, 5.32, 5.33, 5.27, 5.05, 5, 4.97, 4.9, 4.88, 4.78, 4.64, 
## 4.57, 4.36, 4.16, 3.62, 3.62, 3.65, 3.7, 3.78, 3.9, 4.07, 4.23, 
## 4.25, 4.28, 4.22, 4.14, 4.08, 4.01, 3.85, 3.77, 3.61, 3.58, 3.54, 
## 3.51, 3.61, 3.7, 3.81, 3.95, 3.99, 3.95, 3.86, 3.27, 3.08, 3.04, 
## 2.99, 2.85, 2.75, 1.91, 1.63, 1.57, 1.53, 1.51, 1.5, 1.67, 2.08, 
## 2.18, 2.27, 2.43, 2.48, 2.53, 2.54, 2.46, 2.41, 2.12, 1.94, 1.86, 
## 1.75, 1.73, 1.73, 2.06, 2.35, 2.52, 2.56, 2.56, 2.25, 2.1, 2.04, 
## 1.96, 1.71, 1.82, 1.92, 2.22, 2.39, 2.54, 2.67, 2.75, 2.87, 2.93, 
## 2.98, 3.07, 3.25, 3.32, 3.42, 3.29, 3.2, 2.96, 2.59, 2.5, 2.03, 
## 2.02, 2.03, 2.05, 2.09, 2.15, 2.36, 2.64, 2.78, 2.89, 3.11, 3.19, 
## 3.24, 3.37, 3.41, 3.42, 3.43, 3.39, 3.33, 3.18, 3.1, 2.97, 2.82, 
## 2.66, 2.49, 2.36, 2.33, 2.42, 2.9, 3.24, 3.51, 3.67, 3.73, 3.81, 
## 3.83, 3.9, 4.17, 3.93, 3.65, 3.53, 3.43, 3.28, 3.22, 3.18, 3.15, 
## 3.06, 2.95, 2.92, 2.8, 2.76, 2.8, 3.09, 3.6, 4.15, 4.22, 4.18, 
## 3.66, 3.53, 3.4, 3.29, 3.18, 3.1, 3.05, 2.92, 2.91, 2.94, 3.05, 
## 3.13, 3.44, 3.6, 3.78, 3.97, 4.21, 4.33, 4.33, 4.36, 4.4, 4.57, 
## 4.62, 4.6, 4.53, 4.22, 4.1, 3.85, 3.77, 3.7, 3.63, 3.51, 3.45, 
## 3.38, 3.25, 3.17, 2.95, 2.96, 3.01, 3.05, 3.19, 3.28, 3.25, 3.1, 
## 2.91, 2.49, 2.27, 2.03, 2, 1.97, 2.01, 2.22, 2.95, 3.14, 3.47, 
## 3.6, 3.72, 3.85, 3.92, 3.99, 4.21, 4.29, 4.41, 4.31, 4.18, 3.49, 
## 3.31, 2.82, 2.71, 2.44, 2.39, 2.43, 2.9, 3.04, 3.32, 3.44, 3.53, 
## 3.55, 3.54, 3.53, 3.51, 3.45, 3.32, 3.12, 3.04, 2.86, 2.74, 2.57, 
## 2.25, 2.12, 2.15, 2.27, 2.36, 2.42, 2.46, 2.46, 2.43, 2.39, 2.4, 
## 2.42, 2.44, 2.46, 2.45, 2.39, 1.89, 1.88, 1.99, 3.49, 3.48, 3.48, 
## 3.48, 3.38, 3.31, 3.2, 2.73, 2.62, 2.51, 2.37, 2.27, 2.2, 2.1, 
## 2.08, 2.07, 2.14, 2.21, 2.53, 2.62, 3.04, 3.1, 3.16, 3.2, 3.14, 
## 3.1, 3.03, 2.92, 2.88, 2.79, 2.77, 2.77, 3, 3.07, 3.14, 3.22, 
## 3.3, 3.76, 3.92, 4.55, 4.84, 5.06, 5.14, 5.18, 5.2, 5.21, 5.2, 
## 5.18, 5.23, 5.28, 5.3, 5.26, 5.18, 5.05, 4.87, 4.67, 4.25, 4.05, 
## 3.56, 2.94, 2.5, 2.33, 1.82, 1.27, 1.11, 1.02, 1.08, 1.12, 1.19, 
## 1.4, 2.09, 2.27, 2.45, 2.58, 2.71, 2.86, 3.06, 3.26, 3.3, 3.34, 
## 3.37, 3.39, 3.38, 3.39, 3.39, 3.48, 3.55, 3.56, 3.58, 3.59, 3.58, 
## 3.58, 3.57, 3.55, 3.49, 3.5, 3.53, 3.56, 3.58, 3.62, 3.67, 3.67, 
## 3.72, 3.74, 3.71, 3.69, 3.68, 3.66, 3.58, 3.55, 3.53, 3.47, 3.44, 
## 3.43, 3.43, 3.42, 3.43, 3.43, 3.43, 3.43, 3.4, 3.39, 3.38, 3.38, 
## 3.35, 3.32, 3.3, 3.28, 3.26, 3.26, 3.26, 3.27, -0.64, 0.22, 2.03, 
## 3.05, 4.13, 6.25, 8.26, 8.74, 10.5, 11.3, 14.9, 15.2, 17, 18.4, 
## 20.3, 21.9, 23.4, 26.9, 31.2, 33, 36, 37.4, 5.19, 5.16, 5.11, 
## 5.08, 5.02, 5, 4.92, 4.92, 4.9, 4.88, 4.88, 4.98, 4.99, 4.98, 
## 4.98, 4.99, 4.99, 4.97, 4.95, 4.98, 5.02, 5.04, 5.04, 5.06, 5.07, 
## 5.09, 5.16, 5.18, 5.21, 5.21, 5.19, 5.18, 5.12, 5.07, 5.05, 5.01, 
## 4.97, 4.96, 6.19, 5.99, 5.94, 5.92, 5.25, 4.66, 4.52, 4.32, 4.16, 
## 3.8, 3.48, 1.48, 0.74, -2.23, -2.46, -2.82, -2.89, -2.96, -2.92, 
## -2.7, -2.45, -1.25, -1.03, -0.81, -0.57, -0.28, 1.24, 0.76, 0.47, 
## 0.2, -0.72, -1.19, -1.23, -1.32, -1.37, -0.06, 0.81, 1.28, 1.69, 
## 2.08, 2.68, 3.45, 3.52, 3.19, 2.94, 1.75, 1.26, 0.55, 0.18, -0.15, 
## -0.25, -0.27, -1.61, -1.91, -1.74, -1.46, -1.01, -0.43, 0.03, 
## 0.39, 0.63, 0.76, 0.88, 0.95, 0.98, 1.29, 1.16, 1, 0.36, 0.1, 
## -0.08, -0.3, -1.21, -1.76, -1.75, -1, -0.65, 0.18, 0.54, 0.85, 
## 1.09, 1.39, 1.96, 2.67, 2.64, 2.35, 1.23, 0.69, -1.1, -1.73, 
## -2.68, -3.27, -4.69, -4.9, -5, -5.06, -5.02, -4.49, -3.29, -2.26, 
## -1.26, -0.45, 0.14, 0.77, 0.83, 0.81, 1.01, 1.18, 1.47, 1.66, 
## 1.67, 1.66, 2.02, 2.22, 2.45, 2.89, 3.1, 3.31, 3.43, 3.52, 3.65, 
## 3.95, 4.02, 3.05, 2.63, 1.43, -1.98, -2.61, -5.85, -5.78, -5.56, 
## -4.52, -3.45, -3, -2.81, -2.68, -2.43, -1.79, -1.49, -1.29, -1.02, 
## -0.85, -0.52, -0.57, -0.68, -0.95, -0.78, -0.46, -0.28, 0.64, 
## 1.05, 1.52, 1.55, 1.57, 1.64, 1.45, -0.47, -4.94, -5.38, -6.36, 
## -7.06, -7.31, -7.38, -7.18, -7.06, -6.8, -5.58, -2.22, -1.42, 
## -0.23, -0.21, -0.2, -0.27, -0.14, -0.16, -0.37, -0.49, -0.66, 
## -0.66, -0.64, -0.59, -0.18, 0.05, 0.3, 0.53, 0.8, 1.07, 1.59, 
## 1.78, 1.94, 2.06, 2.52, 2.52, 2.38, 2.15, 1.92, 1.62, 0.56, -0.14, 
## -2.58, -3.46, -4.76, -7.08, -7.31, -7.41, -7.61, -7.97, -8.02, 
## -8.03, -8, -7.9, -7.65, -7.51, -6.54, -4.5, -4.16, -3.9, -3.53, 
## -3.44, -3.36, -3.14, -2.92, -2.82, -2.85, -2.87, -2.98, -2.56, 
## -2.25, -1.91, -1.19, -0.84, -0.55, 0.24, 0.44, 0.97, 1.36, 1.24, 
## 1.08, 0.36, -0.17, -1.14, -1.59, -3.35, -5.97, -6.31, -6.86, 
## -6.66, -6.08, -4.73, -3.71, -3.53, -3.31, -2.66, -1.62, -1.25, 
## -0.64, -0.21, -0.09, -0.01, -0.63, -1.44, -1.48, -1.34, -1.16, 
## -0.93, -0.8, -0.64, -0.21, 0.65, -1.9, -1.93, -1.87, -1.6, -1.39, 
## -1.12, -0.63, -0.15, 0.54, 0.62, 0.27, -0.05, -1.44, -1.7, -2.83, 
## -3.7, -4.14, -4.52, -3.75, -2.79, -1.09, -0.05, 0.46, 1.87, 2.74, 
## 3.74, 3.93, 3.92, 2.32, 2.18, 1.85, 1.65, 1.45, 1.34, 1.19, 1.05, 
## 1.02, 1.71, 1, 0.77, 0.57, -0.36, 0.73, 1.04, 1.88, 2.32, 2.49, 
## 2.57, 2.47, 2.26, 2.05, 1.65, 4.01, 4.01, 4.06, 4.12, 4.12, 4.12, 
## 4.14, 4.17, 4.2, 4.28, 4.38, 4.47, 4.53, 4.58, 4.64, 4.73, 4.75, 
## 4.73, 4.63, 4.58, 4.55, 4.53, 4.62, 4.77, 4.86, 5.07, 5.6, 5.71, 
## 5.7, 5.7, 5.5, 5.51, 5.52, 5.58, 5.56, 5.58, 5.58, 5.56, 5.51, 
## 5.48, 5.46, 5.46, 5.44, 5.39, -46.6, -46.6, -46.4, -46.4, -46.3, 
## -46.2, -46.1, -46, -45.7, -45.4, -45.1, -45, -44.8, -44, -43.3, 
## -42.6, -42.6, -42.2, -41.9, -41.9, -41.8, -41.7, -41.6, -41.3, 
## -40.6, -40, -39, -38.5, -37.9, -37.4, -36.9, -35.6, -35.2, -34.2, 
## -34, -33.9, -33.8, -33.5, -33.5, -33.5, -33.6, -33.9, -34.1, 
## -34.3, -34.6, -34.9, -35.8, -36.2, -36.7, -37.2, -37.5, -37.8, 
## -38, -38.1, -38.4, -38.6, -38.8, -39, -39.3, -39.6, -39.8, -39.9, 
## -39.9, -40, -40, -40.1, -40.1, -40.2, -40.1, -40.1, -40, -40.2, 
## -40.4, -40.6, -40.8, -41, -41.3, -41.3, -40.5, -40.4, -40.2, 
## -40.1, -39.7, -39.5, -39.3, -37.4, -36.4, -36, -35.2, -33.8, 
## -33, -32.8, -31.8, -31, -30.4, -30.2, -30.1, -29.9, -29.7, -29.5, 
## -29.2, -29, -29, -29.1, -29.3, -30.3, -30.6, -30.9, -31.2, -31.6, 
## -32.5, -33.3, -34.3, -34.7, -34.8, -34.9, -35, -35.2, -35.5, 
## -35.7, -35.8, -35.9, -36.1, -36.1, -36.3, -36.5, -36.5, -36.4, 
## -36, -36.3, -36.3, -36.2, -36.3, -36.4, -36.5, -36.5, -36.4, 
## -36.4, -36.2, -36.1, -35.7, -35.6, -35.5, -35.5, -35.5, -35.3, 
## -35.1, -34.4, -32.8, -32, -31.7, -31, -30.8, -29.8, -29.7, -29.7, 
## -29.6, -29.5, -29.2, -29.2, -29, -29, -29.1, -29.3, -29.5, -30.2, 
## -30.8, -31.8, -32.5, -32.8, -33.1, -33.3, -33.8, -34, -34.2, 
## -34.4, -34.5, -35, -35.4, -35.7, -36, -36, -36.1, -36.3, -36.4, 
## -36.5, -36.7, -36.8, -36.9, -37, -37.1, -37.2, -37.2, -37, -36.7, 
## -36.5, -36.4, -35.9, -35.7, -35, -35, -34.8, -34.6, -34.5, -34.3, 
## -34.2, -33.6, -33.5, -33.3, -32.8, -32.4, -32, -31.6, -30.5, 
## -29.6, -29.3, -29.1, -28.1, -27.9, -27.1, -27.1, -27, -27.1, 
## -27.2, -27.8, -28.1, -28.4, -29.2, -29.5, -29.8, -31, -31.3, 
## -32.5, -33.2, -33.4, -33.7, -34.1, -34.3, -34.6, -34.8, -32, 
## -32.2, -33.1, -33.2, -33.2, -33, -32.5, -31.8, -31.4, -31.2, 
## -31.1, -30.9, -30.7, -30.6, -30.8, -30.8, -30.7, -30.7, -30.6, 
## -30.7, -30.8, -31.1, -31.3, -31.4, -31.5, -31.6, -31.8, -31.9, 
## -33, -34, -34.1, -34.3, -35.1, -35.7, -35.8, -35.9, -36.2, -36, 
## -36, -35.9, -35.9, -35.9, -35.8, -35.8, -35.6, -35.6, -36.4, 
## -36.4, -36.2, -35.5, -35.4, -35.2, -35, -34.5, -34.2, -34.2, 
## -34.3, -34.5, -34.4, -34.1, -33.3, -33.1, -33.2, -33.2, -33.1, 
## -32.9, -32.6, -32.4, -32.1, -31.4, -31.3, -31.2, -31.7, -32, 
## -32, -32, -32, -32.1, -32.3, -32.5, -33.6, -33.7, -34.1, -34.3, 
## -34.9, -35.1, -35.2, -36, -35.8, -35.6, -35.5, -35.3, -34.9, 
## -35, -34.9, -34.8, -34.4, -34, -33.7, -32.3, -32.2, -32.2, -32.2, 
## -32.1, -31.9, -31.8, -31.4, -31.2, -31, -31, -31.1, -31.1, -31.2, 
## -31.1, -31.1, -31, -31.1, -31.4, -31.6, -31.9, -32, -32.1, -32.2, 
## -32.7, -32.8, -32.8, -33, -33.1, -33.2, -33.6, -33.7, -33.7, 
## -33.7, -33.6, -33.5, -33.3, -33.3, -33.3, -33.2, -33.1, -33, 
## -33.7, -33.8, -33.5, -33, -32.8, -32.6, -32.7, -33, -33.2, -33, 
## -32.7, -32.6, -32.3, -32.1, -31.8, -31, -30.7, -29.6, -29.3, 
## -28.5, -28.3, -28.2, -28, -27.8, -27.8, -27.7, -27.5, -27.5, 
## -28, -28.2, -28.4, -29, -29.1, -29.1, -29.1, -29.2, -29.3, -29.7, 
## -30.2, -30.5, -30.8, -35.6, -35.7, -35.8, -35.8, -35.9, -36.2, 
## -36.1, -36, -35.5, -35.2, -35, -34.2, -34.5, -34.4, -32.2, -31.2, 
## -31, -30.9, -31.3, -31.5, -31.7, -31.7, -31.3, -31.6, -32.4, 
## -32.6, -32.9, -33, -33.4, -33.5, -33.7, -33.9, -33.9, -34, -34.1, 
## -34.5, -35, -35.3, -35.4, -35.5, -36.1, -36.3, -36.4, -36.6, 
## -37, -37.3, -37.4, -37.5, -37.7, -37.8, -37.9, -38.1, -38, -38.1, 
## -38.2, -38.3, -38.4, -38.4, -38.4, -38.4, -38.3, -38.3, -38.2, 
## -37.8, -37.4, -36.6, -36.2, -35, -35.1, -35.2, -35.3, -35.3, 
## -35.4, -35.4, -35.3, -34.9, -34.8, -34.9, -35.2, -35.2, -35.1, 
## -35, -34.9, -33.8, -33.4, -32.9, -31.8, 20.5, 21.7, 22.4, 23.1, 
## 23.7, 24.3, 25.1, 25.5, 25.4, 25.5, 25.4, 25.3, 25.3, 25.2, 25.1, 
## 24.9, 24.9, 25, 25.1, 25.2, 25.1, 24.8, 24.1, 23.8, 23.7, 24.1, 
## 24.3, 24.5, 25.2, 25.3, 25.3, 25.2, 20.7, 20.4, 23.9, 23.5, 23.5, 
## 23.7, 23.6, 23.8, 24, 24.4, 24.1, 23.8, 23.4, 22.7, 22.2, 21.9, 
## 21.6, 20.5, 19.9, 19.1, 18.9, 18.6, 18.7, 20, 20.6, 21, 21.2, 
## 21.7, 21.7, 21.9, 22.5, 22.3, 22.4, 22.6, 22.9, 22.5, 21.6, 21.5, 
## 21.3, 21.2, 21.4, 21.7, 21.8, 22, 22.2, 22.4, 22.5, 22.2, 22, 
## 22, 22, 21.8, 21.8, 21.8, 22.4, 23.3, 23.5, 23.4, 23.6, 23.8, 
## 23.6, 21.7, 20.4, 20.3, 20.2, 19.9, 19.6, 19.5, 19.6, 19.9, 20.5, 
## 21.1, 21.6, 22.1, 22.4, 22.8, 23.1, 23.4, 23.6, 23.8, 24.1, 24.4, 
## 24.6, 24.4, 24.2, 24, 23.7, 23.5, 23.6, 23.8, 23.9, 23.9, 24, 
## 24, 23.7, 23.2, 22.6, 23.2, 23.4, 23.3, 23.6, 24.5, 24.4, 25, 
## 25, 24.9, 24.7, 24.6, 24.3, 23.6, 23.4, 23.3, 23.4, 23.5, 23.9, 
## 24.3, 24.4, 24.7, 24.9, 25.3, 26.2, 26.4, 25.3, 24.9, 23.3, 22.4, 
## 22.2, 22.2, 22.3, 22.2, 22.1, 21.9, 21.6, 20.2, 19.8, 19.2, 18.7, 
## 19, 19.4, 19.8, 20.2, 21.7, 22.2, 22.6, 23, 24, 24.3, 24.6, 24.7, 
## 24.4, 24.2, 24, 23.4, 22.3, 17.9, 17.9, 17.8, 17.9, 17.9, 18.8, 
## 19.4, 21.6, 22.6, 22.9, 23.3, 23.5, 23.5, 23.4, 22.8, 22.3, 21.6, 
## 25, 25.2, 24.9, 24.4, 24.8, 24.9, 25, 25.1, 25.1, 25.3, 25.5, 
## 25.9, 26, 26, 25.7, 25.3, 25.4, 25.6, 25.9, 26.3, 26.5, 26.7, 
## 26.6, 26.5, 26.6, 26.6, 26.6, 26.6, 26.5, 26.3, 26.2, 26.2, 26.3, 
## 26.4, 26.6, 26.6, 26.6, 26.4, 26.2, 26.1, 5.34, 5.29, 5.15, 5.01, 
## 4.92, 4.75, 4.66, 4.51, 4.4, 4.25, 4.2, 4.19, 4.1, 4.07, 4.06, 
## 4.12, 4.24, 4.51, 4.81, 4.93, 5.05, 5.29, 5.39, 5.47, 5.6, 5.66, 
## 5.72, 5.84, 6.06, 6.12, 6.35, 6.62, 6.67, 6.71, 6.75, 6.8, 6.86, 
## 6.89, 6.79, 6.69, 6.66, 6.65, 6.42, 6.4, 6.39, 6.39, 6.29, 6.19, 
## 6.14, 6.03, 7.17, 7.46, 7.74, 8.37, 9.78, 9.77, 9.6, 9.44, 9.28, 
## 9.23, 8.96, 8.28, 7.64, 7.42, 7.21, 6.98, 6.7, 5.61, 4.76, 4.68, 
## 4.62, 1.53, 1.52, 1.6, 1.65, 1.73, 1.84, 2.21, 2.39, 2.49, 2.6, 
## 2.77, 2.86, 2.94, 3.01, 3.12, 3.18, 3.49, 3.57, 3.7, 3.72, 3.73, 
## 3.79, 3.85, 3.91, 4, 1.82, 2.01, 2.19, 2.35, 2.44, 2.46, 2.34, 
## 1.91, -0.13, -2.01, -3.09, -3.29, -3.49, -3.84, -4.05, -4.15, 
## -4.01, -3.56, -2.72, -2.22, -1.74, -0.45, -0.15, 0.17, 0.94, 
## 1.13, 0.03, 0.26, 0.75, 1.06, 1.02, 0.9, -0.07, -1.21, -1.82, 
## -3.38, -3.74, -3.9, -3.93, -3.8, -3.6, -3.36, -2.77, -2.36, -1.96, 
## -1.02, 1.44, 2.97, 3.2, 2.84, 1.8, 1.43, 5.02, 5.14, 5.29, 5.31, 
## 5.33, 5.4, 5.41, 5.43, 5.48, 5.59, 5.64, 5.67, 5.7, 5.76, 5.8, 
## 5.87, 6.27, 6.41, 6.54, 6.67, 6.7, 6.7, 6.64, 6.56, 6.53, 6.47, 
## 6.42, 6.36, 6.31, 3.28, 3.29, 3.27, 3.29, 3.27, 3.24, 3.24, 3.22, 
## 3.19, 3.14, 2.96, 2.76, 2.69, 2.44, 2.15, 1.45, 0.9, 0.17, -0.55, 
## -2.12, -2.32, -2.39, 2.12, 2.31, 2.8, 2.99, 3.09, 3.1, 3.07, 
## 3.03, 2.96, 2.96, 2.96, 2.95, 2.95, 2.98, 3.12, 3.44, 3.48, 3.55, 
## 3.58, 3.59, 3.57, 3.52, 3.49, 3.48, 2.53, 2.58, 2.61, 2.67, 2.65, 
## 2.69, 2.69, 2.65, 2.52, 2.42, 2.35, 2.03, 1.94, 1.87, 1.82, 1.79, 
## 1.8, 1.83, 1.84, 1.86, 1.86, 2.26, 2.34, 2.62, 2.5, 2.41, 21.1, 
## 20.9, 20.8, 20.5, 20.3, 21.5, 21.6, 22.6, 22.7, 22.8, 23, 23, 
## 23, 23.1, 23.3, 23.5, 23.6, 23.7, 23.7, 23.9, 24, 24, 24.1, 24.2, 
## 24.3, 24.4, 24.6, 24.6, 24.7, 24.8, 22.2, 20.1, 19.5, 19.3, 19.1, 
## 18.9, 19, 19, 19.3, 19.4, 19.6, 20.5, 21.1, 22.9, 23.3, 23.4, 
## 23.2, 23.2, 23.2, 23.2, 23, 22.7, 22.7, 23.9, 23.7, 23.6, 22.7, 
## 21.4, 20.9, 19.7, 19.5, 20, 20.3, 20.7, 21.4, 22.7, 24.5, 24.1, 
## 24.4, 25, 25, 25, 24.4, 24.5, 24.9, 20.2, 20, 19.9, 19.9, 20, 
## 20, 20.1, 20.2, 21.1, 21.5, 22.3, 22.7, 22.9, 23.8, 24.9, 25.6, 
## 25.6, 25.5, 25.2, 25, 24.8, 24.4, 24.3, 24.1, 24, 24, 24.1, 24.1, 
## 23.9, 23.7, 23.6, 23.4, 23.3, 23.3, 23.4, 23.7, 23.8, 24.2, 24.3, 
## 24.4, 24.5, 24.5, 24.4, 24, 24, 23.2, 22.2, 21.8, 21.5, 20.9, 
## 6.36, 6.23, 6.28, 6.28, 6.21, 6.15, 6.16, 6.23, 6.36, 6.63, 6.77, 
## 6.76, 6.81, 6.82, 6.73, 6.63, 6.55, 6.21, 5.99, 5.58, 5.29, 4.54, 
## 4.2, 3.94, 2.18, 1.93, 1.92, 1.85, 1.74, 1.77, 1.9, 2.1, 2.25, 
## 2.54, 3.13, 3.37, 3.6, 4.35, 4.59, 4.84, 5.12, 6.05, 6.67, 7.63, 
## 7.88, 8.18, 7.9, 7.75, 7.52, 7.39, 6.61, 4.69, 6.17, 6.29, 6.4, 
## 6.85, 6.92, 6.94, 6.81, 6.77, 6.76, 6.69, 6.54, 6.48, 6.35, 5.9, 
## 5.77, 5.11, 4.63, 4.14, 3.63, 3.54, 4.02, 4.57, 4.72, 4.84, 5.07, 
## 5.14, 5.18, 5.25, 5.33, 5.34, 5.05, 5.1, 5.15, 5.18, 5.11, 4.79, 
## 4.34, 4.16, 3.94, 3.77, 3.5, 3.35, 3.38, 3.41, 3.5, 3.8, 3.97, 
## 4.18, 4.34, -48.7, -47.4, -44.2, -43.9, -42, -39.9, -39.3, -37.9, 
## -37, -36.7, -36.3, -36.2, -32, -32, -32.1, -32.3, -32.6, -32.7, 
## -32.9, -33.8, -34.7, -34.8, -35.3, -35.5, -35.9, -36), yaw_belt = c(-94.4, 
## -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, 
## -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, -94.4, 
## -94.4, -94.4, -94.4, -94.3, -94.4, -94.4, -94.4, -94.4, -94.4, 
## -94.4, -94.4, -94.4, -94.4, -94.4, -94.3, -94.4, -94.3, -94.3, 
## -94.3, -94.3, -94.3, -94.3, -94.3, -94.3, -94.2, -94.2, -94.2, 
## -94.2, -94.2, -94.2, -94.2, -94.1, -94.1, -94.1, -94.1, -94.2, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94, -94.1, -94.1, -94.1, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94, -94.1, -94.1, -94, -94, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94, -94, -94, -94, -94, -94, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94, -94, -94, -94, -94, -94, -94, -94, -93.9, -93.9, -93.9, 
## -93.9, -93.9, -93.9, -93.9, -93.9, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 1.63, 1.53, 1.07, 0.95, 
## 0.87, 0.78, 0.56, 0.51, 0.5, 0.78, 0.92, 0.97, 0.93, 0.85, 0.77, 
## 0.72, 0.67, 0.78, 0.86, 0.91, 0.95, 0.98, 1.3, 1.32, 1.39, 1.45, 
## 1.5, 1.59, 1.63, 1.65, 1.71, 1.77, 1.85, 1.92, 1.92, 1.97, 2.09, 
## 2.12, 2.2, 2.25, 2.3, 2.32, 2.35, 2.35, 2.35, 2.39, 2.4, 2.45, 
## 2.46, 2.51, 2.57, 2.61, 2.61, 2.63, 2.66, 2.68, 2.69, 2.66, 2.6, 
## 2.49, 2.43, 2.39, 2.36, 2.32, 2.18, 2.11, 2.08, 2.01, 2.01, 1.99, 
## 1.97, 1.94, 1.95, 1.76, 1.61, 1.52, 1.49, 1.47, 1.41, 1.35, 1.32, 
## 1.1, 0.97, 0.91, 0.82, 0.73, 0.71, 0.6, 0.36, 0.23, 0.19, 0.4, 
## 0.78, 1.06, 1.64, 1.68, 1.7, 1.83, 1.87, 1.9, 1.94, 1.89, 1.8, 
## 1.75, 1.5, 1.45, 1.34, 1.29, 1.13, 0.98, 0.92, 0.87, 0.8, 0.72, 
## 0.67, 0.59, 0.39, 0.33, 0.3, 0.4, 0.46, 0.49, 0.46, 0.45, 0.43, 
## 0.39, 0.35, 0.38, 0.38, 0.43, 0.42, 0.44, 0.82, 0.88, 1.09, 1.18, 
## 1.15, 0.93, 0.85, 0.3, 0.13, -0.15, -0.33, -0.58, -1.03, -1.21, 
## -1.51, -1.86, -2.03, -2.07, -2.11, -2.08, -2, -1.68, -1.36, -1.26, 
## -1.17, -0.79, -0.77, -0.88, -0.91, -0.96, -0.98, -0.97, -0.94, 
## -0.96, -0.94, -0.9, -0.9, -0.89, -0.9, -0.89, -0.86, -0.82, -0.75, 
## -0.57, -0.55, -0.6, -0.65, -0.7, -0.74, -0.74, -0.79, -0.8, -0.74, 
## -0.71, -0.7, -0.31, -0.25, -0.19, -0.07, -0.09, -0.03, -0.04, 
## -0.05, -0.24, -0.57, -0.71, -0.98, -1.09, -1.19, -1.32, -1.45, 
## -1.51, -1.8, -1.92, -2.04, -2.26, -2.37, -2.92, -3.09, -3.06, 
## -2.92, -2.41, -1.8, -1.79, -1.77, -1.79, -1.75, -1.59, -1.49, 
## -1.41, -1.23, -1.18, -1.08, -0.84, -0.79, -0.74, -0.74, -0.81, 
## -0.86, -1.04, -1.11, -1.59, -1.77, -2.08, -2.21, -2.29, -2.4, 
## -2.5, -2.61, -2.75, -3.02, -2.89, -2.8, -2.65, -2.21, -2.15, 
## -2.01, -1.86, -1.79, -1.72, -1.6, -1.55, -1.41, -1.39, -1.32, 
## -1.3, -1.3, -1.3, -1.54, -1.57, -1.68, -1.75, -1.85, -1.92, -2.02, 
## -2.1, -2.1, -2.12, -2.15, -2.19, -2.13, -2.14, -2.16, -2.1, -2.1, 
## -2.24, -2.24, -2.29, -2.34, -2.47, -2.54, -2.62, -2.8, -2.86, 
## -3.02, -3, -2.89, -2.86, -2.79, -2.6, -2.51, -2.43, -2.36, -2.31, 
## -2.25, -2.12, -2.08, -2.22, -2.51, -2.93, -3.83, -3.95, -4.08, 
## -4.14, -4.24, -4.11, -4.03, -3.7, -3.45, -3.39, -3.35, -3.32, 
## -3.32, -3.26, -3.27, -3.23, -3.28, -3.38, -3.43, -3.48, -3.51, 
## -3.57, -3.49, -3.44, -3.43, -3.42, -3.35, -3.26, -3.22, -3.16, 
## -3.14, -3.13, -3.08, -3.12, -3.11, -3.17, -3.19, -3.14, -3.07, 
## -3.13, -3.01, -2.84, -2.76, -2.74, -2.76, -2.78, -2.83, -3.01, 
## -3.13, -3.17, -3.28, -3.33, -3.55, -3.54, -3.54, -3.53, -3.28, 
## -3.05, -2.95, -2.87, -2.77, -2.68, -2.54, -2.35, -2.4, -2.39, 
## -2.3, -2.27, -2, -2, -2.01, -1.97, -1.91, -1.97, -1.95, -1.97, 
## -2, -2.24, -2.39, -2.51, -2.58, -2.76, -2.88, -2.97, -3.09, -3.41, 
## -3.52, -3.58, -3.68, -3.76, -3.81, -3.88, -3.75, -3.63, -3.09, 
## -3.06, -2.96, -2.88, -3, -3.1, -3.2, -3.33, -3.42, -3.5, -3.62, 
## -4.01, -3.97, -3.91, -3.93, -3.91, -3.85, -3.87, -3.9, -3.98, 
## -4.09, -4.62, -4.62, -4.5, -4.41, -4.36, -4.3, -4.27, -4.24, 
## -4.14, -4.14, -3.88, -3.8, -3.79, -3.83, -3.84, -3.98, -4.56, 
## -4.61, -4.6, -4.52, -3.98, -3.89, -3.7, -3.65, -3.64, -3.62, 
## -3.63, -3.68, -3.68, -3.69, -3.73, -3.69, -3.67, -3.62, -3.58, 
## -3.56, -3.55, -3.6, -3.6, -3.6, -3.56, -3.58, -3.6, -3.63, -3.66, 
## -3.69, -3.84, -3.92, -4.05, -4.02, -4.06, -4.08, -4.01, -3.92, 
## -3.85, -3.56, -3.44, -3.43, -3.47, -3.42, -3.39, -3.41, -3.45, 
## -3.47, -3.56, -3.57, -3.49, -3.55, -3.6, -3.59, -3.6, -3.63, 
## -3.73, -3.75, -4.03, -4.59, -4.69, -4.72, -4.75, -4.79, -4.83, 
## -4.7, -4.63, -4.6, -4.58, -4.53, -4.6, -4.63, -4.61, -4.63, -4.64, 
## -4.65, -4.71, -4.69, -4.69, -4.61, -4.42, -4.41, -4.46, -4.36, 
## -4.35, -4.32, -4.32, -4.28, -4.24, -4.11, -4.04, -4.04, -4.04, 
## -4.03, -3.96, 179, 178, 178, 178, 178, 178, 178, 178, 178, 178, 
## 178, 178, 178, 178, 177, 177, 177, 177, 177, 177, 178, 178, 178, 
## 178, 178, 178, 178, 178, 178, 178, 178, 177, 177, 177, 177, 176, 
## 176, 176, 176, 175, 175, 174, 174, 172, 171, 171, 171, 169, 169, 
## 169, 169, 169, 169, 168, 168, 168, 168, 168, 168, 168, 168, 167, 
## 167, 167, 167, 167, 167, 166, 166, 166, 166, 166, 165, 165, 165, 
## 165, 165, 165, 165, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 162, 162, 
## 162, 162, 162, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 160, 160, 160, 160, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, -2.95, -2.87, -2.78, -2.78, -2.75, -2.75, -3.13, 
## -3.24, -3.37, -3.44, -3.51, -3.56, -3.71, -3.69, -3.74, -3.75, 
## -3.76, -3.74, -3.72, -3.74, -3.72, -3.57, -3.56, -3.67, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 162, 162, 164, 166, 166, 166, 166, 166, 166, 166, 
## 165, 164, 163, 163, 162, 161, 162, 162, 162, 162, 163, 163, 163, 
## 163, 164, 164, 164, 179, 179, 179, 179, 179, 179, 179, 179, 179, 
## 179, 179, 179, 179, 179, 179, 179, 179, 178, 164, 164, 164, 164, 
## 164, 164, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 162, 
## 161, 161, 161, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 
## 160, 161, 161, 161, 162, 162, 162, 163, 164, 164, 164, 165, 165, 
## 167, 168, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 169, 
## 169, 169, 169, 168, 168, 168, 167, 167, 166, 166, 165, 165, 164, 
## 163, 162, 162, 161, 160, 159, 159, 159, 159, 160, 160, 160, 161, 
## 162, 162, 162, 162, 162, 162, 162, 162, 162, 161, 161, 161, 160, 
## 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 
## 160, 160, 160, 160, 160, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 162, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 162, 162, 163, 163, 163, 163, 163, 164, 
## 164, 164, 165, 165, 165, 165, 165, 165, 167, 167, 167, 167, 167, 
## 167, 167, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 
## 168, 168, 168, 168, 168, 168, 169, 169, 169, 169, 169, 169, 169, 
## 169, 169, 169, 169, 169, 169, 169, 170, 170, 170, 169, 169, 169, 
## 169, 169, 169, 169, 169, 169, 169, 169, 170, 170, 170, 170, 170, 
## 170, 170, 170, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 
## 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 
## 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 172, 172, 
## 172, 172, 172, 173, 173, 173, 173, 173, 173, 173, 173, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 172, 172, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 174, 174, 
## 174, 174, 174, 174, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 174, 173, 174, 174, 174, 174, 
## 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 173, 173, 
## 173, 173, 174, 174, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 
## 174, 174, 175, 175, 175, 175, 174, 174, 174, 174, 174, 174, 174, 
## 174, 173, 173, 173, 173, 173, 174, 174, 173, 173, 173, 173, 174, 
## 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 
## 174, 174, 174, 174, 174, 174, 174, 174, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 
## 174, 174, 174, 173, 173, 173, 174, 174, 174, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 
## 174, 174, 174, 174, 174, 174, 174, 173, 173, 173, 174, 174, 174, 
## 174, 174, 174, 174, 174, 174, 174, 173, 173, 173, 173, 173, 174, 
## 174, 174, 174, 174, 174, 174, 173, 173, 173, 173, 173, 173, 172, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 171, 171, 171, 171, 171, 171, 
## 171, 171, 171, 172, 172, -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, 
## -87.9, -88, -88, -88, -88, -88, -88.1, -88.1, -88, -88.1, -88.1, 
## -88.1, -88.2, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88, -88, -88, -87.9, -87.9, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -87.9, 
## -87.9, -87.9, -87.9, -88, -88, -88, -87.9, -87.9, -87.9, -87.8, 
## -87.8, -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.6, -87.5, -87.5, -87.5, -87.4, -87.3, -87.3, -87.3, -87.3, 
## -87.3, -87.3, -87.4, -87.4, -87.4, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.6, -87.6, -87.6, -87.6, -87.6, -87.7, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.7, -87.7, -87.6, -87.6, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.8, -87.7, -87.7, -87.7, -87.8, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.7, -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.7, -87.7, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.5, -87.5, -87.6, -87.5, -87.5, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.3, -87.3, -87.3, -87.3, 
## -87.3, -87.3, -87.3, -87.3, -87.4, -87.4, -87.4, -87.5, -87.6, 
## -87.6, -87.6, -87.6, -87.5, -87.4, -87.3, -87.3, -87.3, -87.4, 
## -87.3, -87.3, -87.3, -87.3, -87.3, -87.2, -87.2, -87.2, -87.2, 
## -87.2, -87.1, -87.1, -87.1, -87.2, -87.2, -87.2, -87.2, -87.2, 
## -87.3, -87.3, -87.3, -87.3, -87.4, -87.3, -87.4, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, -87.6, -87.7, -87.7, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.6, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.6, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.9, -87.9, -88, -88, -88, -88, -88, -88, -88, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.3, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.2, -88.2, -88.3, -88.4, -88.4, -88.5, -88.5, -88.5, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.7, 
## -88.7, -88.7, -88.7, -88.7, -88.7, -88.7, -88.7, -88.7, -88.8, 
## -88.8, -88.8, -88.8, -88.8, -88.8, -88.8, -88.8, -88.8, -88.8, 
## -88.8, -88.8, -88.8, -88.8, -88.8, -88.8, -88.9, -88.9, -88.9, 
## -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -89, -89, -89, -89, 
## -89, -89.1, -89.1, -89.1, -89.1, -89, -89, -89, -88.9, -88.9, 
## -88.9, -88.8, -88.8, -88.8, -88.7, -88.7, -88.7, -88.7, -88.7, 
## -88.7, -88.8, -88.8, -88.8, -88.8, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.7, -88.8, -88.8, -88.8, -88.9, -88.9, -89, -89, -89.1, 
## -89.1, -89.1, -89.1, -89.2, -89.2, -89.3, -89.3, -89.2, -89.2, 
## -89.2, -89.2, -89.3, -89.3, -89.4, -89.4, -89.6, -89.6, -89.5, 
## -89.5, -89.3, -89.3, -89.3, -89.3, -89.2, -89.2, -89.2, -89.2, 
## -89.1, -89.1, -88.9, -88.9, -88.9, -88.9, -88.8, -88.8, -88.8, 
## -88.8, -88.8, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.8, 
## -88.8, -88.7, -88.7, -88.7, -88.7, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -88, 
## -88, -88, -88.1, -88.1, -88.1, -88.2, -88.2, -88.2, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.2, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.4, -88.4, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.2, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.2, -88.3, -88.3, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88, -88, -88, -88, -88, -88, -88, -88, -87.9, -88, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -88, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88.1, -88, -88, -88, -88.1, -88.1, -88, 
## -88, -88, -88, -88.1, -88.1, -88.1, -88, -88, -88, -88, -88, 
## -88.1, -88.1, -88, -88, -88, -88.1, -88.1, -88.1, -88.1, -88, 
## -88.1, -88.1, -88.1, -88, -88, -88, -88, -88.1, -88.1, -88.1, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.7, -93.7, -93.7, -93.7, -93.7, -93.8, 
## -93.8, -93.7, -93.7, -93.8, -93.8, -93.8, -93.8, -93.8, -93.9, 
## -93.8, -93.9, -93.9, -93.9, -94, -94, -94, -94, -94, -94, -94.1, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94, -94, -93.9, 
## -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -94, -94, -94, -94, 
## -94, -94, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94.1, -94, -94, -94, -94, -94, -93.9, -93.9, -93.9, -93.9, 
## -93.9, -93.9, -93.9, -93.9, -93.9, -93.7, -93.7, -93.7, -93.7, 
## -93.8, -93.8, -93.9, -93.9, -93.9, -94, -94, -94, -94.1, -94.1, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.2, -94.2, -94.2, 
## -94.2, -94.2, -94.2, -94.2, -94.2, -94.2, -94.2, -94, -94, -93.9, 
## -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, 
## -93.9, -94, -94, -94, -94, -94, -94, -94, -94, -93.9, -93.8, 
## -93.8, -93.8, -93.8, -93.7, -93.7, -93.7, -93.7, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.6, -93.7, -93.6, -93.7, -93.8, -93.8, 
## -93.8, -93.8, -93.9, -93.9, -93.9, -93.9, -94, -94, -94, -94, 
## -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, -94.1, 
## -94.1, -94, -93.9, -93.9, -93.9, -93.9, -93.9, -94, -94, -93.9, 
## -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -94, -93.9, 
## -93.9, -93.9, -93.9, -93.9, -93.9, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.7, -93.7, -93.8, -93.8, -93.7, -93.5, 
## -93.5, -93.5, -93.4, -93.4, -93.4, -93.4, -93.4, -93.5, -93.5, 
## -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.8, 
## -93.7, -93.7, -93.6, -93.6, -93.6, -93.5, -93.5, -93.5, -93.5, 
## -93.5, -93.6, -93.6, -93.6, -93.7, -93.7, -93.7, -93.6, -93.6, 
## -93.6, -93.5, -93.5, -93.5, -93.5, -93.5, -93.5, -93.5, -93.5, 
## -93.5, -93.5, -93.5, -93.5, -93.4, -93.4, -93.4, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.2, -93.3, -93.3, -93.4, -93.4, 
## -93.5, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.6, -93.6, -93.6, -93.6, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.7, -93.7, -93.7, -93.6, -93.6, -93.6, -93.6, -93.6, 
## -93.6, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.8, 
## -93.7, -93.6, -93.6, -93.5, -93.5, -93.5, -93.5, -93.5, -93.6, 
## -93.6, -93.7, -93.7, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.7, -93.7, -93.6, -93.6, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.7, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, 
## -93.7, -93.6, -93.5, -93.5, -93.5, -93.5, -93.5, -93.5, -93.5, 
## -93.5, -93.5, -93.5, -93.6, -93.6, -93.7, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.6, -93.6, -93.6, -93.6, 
## -93.6, -93.6, -93.5, -93.5, -93.5, -93.5, -93.6, -93.6, -93.6, 
## -93.5, -93.5, -93.5, -93.5, -93.5, -93.5, -93.6, -93.6, -93.6, 
## -93.6, -93.5, -93.4, -93.4, -93.4, -93.4, -93.5, -93.5, -93.5, 
## -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, 
## -93.4, -93.3, -93.3, -93.3, -93.3, -93.2, -93.2, -93.2, -93.2, 
## -93.2, -93.2, -93.2, -93.2, -93.3, -93.3, -93.3, -93.2, -93.2, 
## -93.2, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.2, -93.2, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.2, -93.2, -93.3, -93.2, -93.3, -93.3, -93.2, 
## -93.2, -93.2, -93.3, -93.3, -93.3, -93.2, -93.2, -93.2, -93.2, 
## -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, 
## -93.2, -93.2, -93.2, -93.2, -93.3, -93.2, -93.2, -93.2, -93.1, 
## -93, -92.9, -92.8, -92.8, -92.8, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.8, -92.8, -92.9, -92.9, -92.9, -93, -93, -93, 
## -93, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.2, -93.1, -93.2, -93.2, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.2, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93, -93, -93, -93, -93, -93, -93, -93, -93, -93, -93, -93, -93, 
## -93, -92.9, -92.9, -92.8, -92.7, -92.7, -87.9, -88, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -88, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88.1, -88.1, -88, -88, -88, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -88, -87.9, -87.9, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.2, -88.1, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.2, -88.2, -88.3, -88.3, -88.4, -88.4, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88, 
## -88, -88, -88, -88, -88, -88.1, -88, -88, -88.1, -88, -88, -88, 
## -88, -88, -88, -88, -88, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, -88.1, -88, 
## -87.9, -87.8, -87.8, -87.6, -87.6, -87.7, -87.8, -87.8, -87.8, 
## -88, -88, -88.1, -88.1, -88.1, -88.1, -88.1, -88, -88, -88, -88, 
## -87.8, -87.8, -87.7, -87.6, -87.6, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.6, -87.6, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.8, -87.8, -87.7, -87.7, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, -87.8, -87.7, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, 
## -88, -88, -88, -88, -88.1, -88.2, -88.2, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.2, -88.2, -88.1, -88, -88, -87.9, -87.9, -87.9, 
## -87.9, -88, -88, -88, -88, -88, -88, -88.1, -88.1, -88.1, -88, 
## -88, -88, -87.9, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.8, -87.8, -87.8, -88, -88, -88.1, -88.1, -88.1, 
## -88.1, -88, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, 
## -88, -88, -88, -88.1, -88.1, -88.1, -88.2, -88.1, -88, -88, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.9, -87.8, -87.8, 
## -87.8, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -88, 
## -88, -88.1, -88.2, -88.2, -88.3, -88.3, -88.3, -88.4, -88.5, 
## -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.4, -88.4, 
## -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.5, -88.5, 
## -88.5, -88.5, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.3, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.5, -88.5, 
## -88.6, -88.7, -88.8, -88.8, -88.9, -89.1, -89.2, -89.2, -89.3, 
## -89.3, -89.3, -89.3, -89.4, -89.4, -89.4, -89.4, -89.4, -89.4, 
## -89.3, -89.3, -89.2, -89.2, -89.2, -89.2, -89.2, -89.1, -89.1, 
## -89, -89, -89, -89, -89, -89, -89, -89, -89, -89.2, -89.2, -89.2, 
## -89.2, -89.2, -89.2, -89.2, -89.2, -89.1, -89, -89, -89, -89, 
## -89, -89, -89, -89, -89, -89, -89, -89, -89, -89, -89, -89, -89, 
## -89.1, -89.1, -89.1, -89.1, -89.1, -89.2, -89.2, -89.2, -89.1, 
## -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, -89, -89, -89, 
## -89, -89, -88.9, -88.8, -88.8, -88.9, -88.9, -88.9, -89, -89.1, 
## -89, -89, -88.9, -88.9, -88.7, -88.6, -88.7, -88.7, -88.7, -88.7, 
## -88.7, -88.7, -88.7, -88.7, -88.8, -88.8, -88.8, -89, -89, -89, 
## -89.1, -89.1, -89.1, -89.1, -89.1, -89.2, -89.2, -89.2, -89.2, 
## -89.2, -89.2, -89.2, -89.1, -89, -89, -88.8, -88.7, -88.7, -88.7, 
## -88.7, -88.7, -88.6, -88.6, -88.6, -88.7, -88.7, -88.7, -88.7, 
## -88.7, -88.6, -88.6, -88.5, -88.5, -88.5, -88.5, -88.6, -88.6, 
## -88.6, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, 
## -88.5, -88.6, -88.6, -88.6, -88.6, -88.5, -88.5, -88.5, -88.5, 
## -88.5, -88.6, -88.6, -88.6, -88.5, -88.5, -88.4, -88.3, -88.3, 
## -88.2, -88.2, -88.2, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.2, -88.2, -88.2, -88.3, 
## -88.3, -88.3, -88.3, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.6, -87.6, -87.6, -87.7, 
## -87.7, -87.7, -87.8, -87.8, -87.8, -87.9, -87.9, -87.8, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, 
## -87.8, -87.8, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 172, 173, 173, 172, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 172, 
## 172, 172, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 172, 172, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 172, 172, 173, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 170, 170, 170, 170, 170, 170, 170, 170, 170, 
## 170, 170, 170, 170, 171, 171, 171, 171, 171, 171, 171, 171, 166, 
## 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 167, 167, 167, 
## 167, 167, 167, 167, 167, 165, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 
## 167, 167, 167, 167, 166, 166, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 4, 3.73, 3.56, 3.34, 3, 2.82, 2.64, 
## 2.28, 1.99, 1.77, 1.63, 1.08, 0.78, 0.06, -0.42, -0.65, -0.78, 
## -0.87, -0.94, -1.13, -1.19, -1.22, -1.27, -1.28, -1.34, -1.45, 
## -1.37, -1.36, -1.37, -1.44, -15.2, -15.1, -15.1, -15, -14.9, 
## -14.5, -12.2, -11.9, -11.7, -11.6, -11.3, -11.2, -11.2, -11.8, 
## -11.8, -11.8, -11.7, -11.6, -12.6, -12.8, -12.8, -12.8, -12.9, 
## -13.2, -13.1, -13.1, -13.1, -12.9, -12.7, -12.6, -12.5, -12.3, 
## -12.3, -12.2, -12.2, -12.1, -12, -12.1, -12.1, -12.1, -12.1, 
## -12, -12, -12, -12, -12, -12, -12.4, -12.6, -12.7, -12.7, -12.8, 
## -12.3, -11.8, -11, -10.6, -6.05, -4.57, -3.44, -2.44, -2.51, 
## -5.18, -6.42, -7.64, -8.21, -8.83, -9.37, -10, -10.5, -11.6, 
## -12.4, -12.7, -13.3, -13.5, -13.6, -13.6, -13.6, -13.8, -13.8, 
## -13.8, -13.8, -13.8, -13.7, -13.7, -13.6, -13.5, -13.2, -13.2, 
## -13.1, -13.1, -13, -13, -13, -12.8, -12.7, -12.6, -12.2, -12.1, 
## -11.9, -11.9, -11.8, -11.7, -11.8, -11.8, -11.9, -12, -12.4, 
## -12.8, -13, -14.8, -15.1, -15.4, -16.2, -16.6, -17.1, -18.1, 
## -18.1, -18.2, -18.2, -18.3, -18.3, -18.5, -18.7, -18.7, -18.3, 
## -18.2, -18.1, -18.1, -18.1, -18.1, -18.1, -18.1, -18, -18, -17.9, 
## -17.9, -17.9, -17.8, -17.6, -17.4, -17.3, -17.3, -17.2, -17.2, 
## -15.2, -15.5, -15.7, -15.8, -16, -16.1, -16.2, -16.4, -16.6, 
## -16.7, -16.6, -16.6, -16.5, -16.4, -16.2, -16.1, -16, -15.9, 
## -15.7, -15.6, -15.5, -15, -14.9, -14.7, -14.6, -14.5, -14.5, 
## -14.4, -14.4, -14.4, -14.3, -14.2, -14.3, -14.3, -14.3, -14.5, 
## -14.6, -15, -15.2, -15.3, -15.4, -15.7, -15.6, -15.7, -15.7, 
## -15.7, -15.6, -15.4, -15.3, -15, -14.3, -13.4, -13.3, -13.3, 
## -13.4, -13.5, -13.9, -14, -14.1, -14.2, -14.3, -14.3, -14.3, 
## -14.2, -14.2, -14.2, -14.4, -14.5, -14.6, -14.7, -14.6, -14.4, 
## -14.2, -14.1, -13.8, -13.7, -13.5, -13.2, -13.2, -13.1, -13, 
## -12.9, -12.7, -12.5, -12.4, -12.3, -12.2, -12, -12.1, -12.1, 
## -12.1, -12.2, -12.4, -12.5, -11.8, -11.8, -11.8, -11.8, -11.7, 
## -11.5, -11.6, -11.5, -11.5, -11.5, -11.5, -11.6, -11.6, -11.6, 
## -11.9, -12, -12, -11.9, -11.8, -11.4, -11.2, -11.1, -10.6, -10.4, 
## -11.5, -11.3, -11.2, -11, -11, -10.7, -10.2, -10.1, -10.1, -10, 
## -9.92, -9.81, -9.8, -9.75, -9.72, -9.7, -9.68, -9.65, -9.69, 
## -9.74, -9.77, -9.94, -9.97, -9.99, -9.98, -9.84, -9.73, -9.58, 
## -9.44, -9.39, -9.33, -9.2, -9.1, -9.1, -9.07, -9.09, -9.1, -9.2, 
## -9.27, -9.25, -9.29, -9.26, -9.21, -9.07, -9.01, -8.97, -8.9, 
## -8.59, -8.44, -8.05, -7.77, -7.02, -6.58, -6.57, -6.58, -6.59, 
## -6.62, -6.67, -6.71, -6.74, -6.79, -6.77, -6.85, -6.92, -6.94, 
## -6.97, -6.89, -6.92, -6.85, -6.85, -6.69, -6.72, -6.35, -6.32, 
## -6.29, -6.15, -6.05, -6.02, -6.01, -5.61, -5.4, -5.29, -4.9, 
## -4.55, -4.33, -4.2, -4.1, -3.89, -3.86, -3.87, -3.8, -4.38, -4.51, 
## -4.73, -4.82, -4.9, -4.85, -4.89, -4.88, -4.85, -4.84, -4.71, 
## -4.7, -4.71, -4.71, -4.72, -4.64, -4.64, -4.65, -4.6, -4.5, -4.49, 
## -4.33, -4.26, -4.07, -4, -3.83, -3.52, -3.43, -3.23, -3.71, -3.72, 
## -3.66, -3.42, -3.36, -3.32, -3.2, -3.14, -2.72, -2.62, -2.55, 
## -2.48, -2.44, -2.36, -2.23, -2.17, -2.06, -2.15, -2.47, -2.46, 
## -2.44, -2.45, -2.43, -2.46, -2.43, -2.37, -2.23, -2.12, -1.82, 
## -1.71, -1.7, -1.63, -1.65, -1.59, -1.55, -1.82, -1.86, -1.87, 
## -1.8, -1.84, -1.88, -1.87, -1.78, -1.47, -1.11, -1.22, -1.27, 
## -1.32, -1.3, -1.16, -1.11, -1.11, -1.18, -1.21, -1.31, -1.14, 
## -1.09, -0.73, -0.62, -0.5, -0.37, -0.02, 0.12, 0.51, 0.65, 0.62, 
## 0.4, 0.27, 0.04, -0.08, -0.21, -0.31, -0.41, -0.43, -0.4, -0.37, 
## -0.35, -0.16, -0.17, -0.18, -0.22, -0.24, -0.19, -0.24, -0.36, 
## -0.59, -0.68, -0.95, -0.78, -0.6, -0.5, -0.31, -0.14, -0.05, 
## -0.04, 0.06, 0.03, 0.05, 0.18, 0.23, 0.23, 0.18, 0.11, 0.13, 
## 0.05, -0.02, -0.08, -0.19, -0.21, -0.18, -0.21, -0.22, -0.19, 
## -0.12, 0.01, 0.4, 0.81, 1.07, 1, 0.97, 1.19, 1.57, 1.61, 1.66, 
## 2.17, 2.02, 2.02, 2.01, 1.96, 1.75, 1.61, 1.18, 1.05, 0.75, 1.08, 
## 1.19, 1.21, 1.3, 1.3, 1.4, 1.39, 1.41, 1.44, 1.49, 1.5, 1.56, 
## 1.6, 1.92, 2.5, 2.71, 2.96, 3, 2.98, 2.97, 2.96, 2.98, 2.97, 
## 2.91, 2.87, 2.3, 1.88, 1.65, 1.53, 1.47, 1.38, 1.24, 1.18, 1.12, 
## 1.08, 0.93, 0.92, 1.31, 1.72, 1.76, 1.67, 1.53, 1.43, 1.43, 1.44, 
## 1.49, 1.47, 1.61, 1.6, 1.59, 1.84, 1.9, 1.93, 1.98, 2.08, 2.13, 
## 2.19, 1.85, 1.21, 0.57, 0.44, 0.38, 0.33, 0.37, 0.56, 0.7, 0.82, 
## 0.9, 0.91, 0.96, 0.92, 0.89, 0.92, 0.89, 0.76, 0.67, 0.63, 0.63, 
## 0.71, 0.76, 0.84, 0.94, 1.18, 1.22, 1.37, 1.78, 1.85, 1.89, 1.9, 
## 1.89, 1.89, 1.93, 2.02, 2.07, 2.05, 1.89, 1.87, 1.74, 1.52, 1, 
## 0.92, 0.85, 0.68, 0.59, 0.53, 0.52, 0.57, 0.61, 0.76, 0.73, 0.71, 
## 0.67, 0.62, 0.6, 0.61, 0.76, 0.78, 0.82, 0.9, 1.03, 1.01, 0.99, 
## 0.95, 0.84, 0.73, 0.64, 0.53, 0.4, 0.38, 0.31, 0.4, 0.47, 0.53, 
## 0.6, 0.6, 0.6, 0.53, 0.46, 0.52, 0.43, 0.37, 0.15, -0.02, -0.06, 
## -0.11, -0.12, 0.13, 0.3, 1.27, 1.23, 1.22, 1.03, 0.39, 0.41, 
## 0.46, 0.45, 0.4, 0.35, 0.37, 0.35, 0.33, 0.33, 0.39, 0.37, 0.29, 
## 0.14, 0.01, -0.07, -0.31, -0.28, -0.27, -0.28, -0.3, -0.07, -0.06, 
## -0.07, -0.1, -0.18, -0.23, -0.26, -0.27, -0.32, -0.38, -0.4, 
## -0.38, -0.44, -0.51, -0.55, -0.62, -0.65, -0.62, -0.61, -0.66, 
## -0.69, -0.78, -0.82, -1.11, -1.15, -1.25, 172, 172, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 
## 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 171, 171, 171, 
## 171, 171, 172, 172, 172, 171, 171, 172, 172, 172, 172, 172, 172, 
## 172, 173, 173, 173, 173, 172, 172, 172, 173, 173, 173, 173, 173, 
## 173, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 
## 174, 174, 174, 174, 174, 174, 174, 174, 173, 173, 173, 173, 173, 
## 174, 174, 174, 174, 174, 174, 174, 174, 174, 0.72, 0.74, 0.86, 
## 0.77, 0.64, 0.55, 0.46, 0.38, 0.21, 0, 0.26, 0.31, 0.37, 0.39, 
## 0.51, 0.71, 0.8, 0.94, 1.22, 1.2, 1.25, -0.52, -0.44, -0.42, 
## -0.39, -0.47, -0.56, -0.66, -0.71, -0.75, -0.81, -0.87, -0.82, 
## -0.92, -0.94, -0.91, -0.98, -0.92, -0.93, -0.95, -0.95, -1.01, 
## -1.13, -1.16, -1.18, -1.17, -1.21, -1.12, -1.1, -1.18, -1.17, 
## -10.2, -10.1, -10.1, -10, -9.94, -9.92, -9.93, -9.96, -10, -10.1, 
## -10.2, -10.6, -10.6, -11, -11.7, -11.8, -11.7, -11.7, -11.7, 
## -11.7, -11.6, -11.6, -11.6, -12.6, -12.7, -12.9, -13.1, -13.2, 
## -13.2, -13.4, -13.4, -13.4, -13.4, -13.3, -13.3, -13.2, -12.5, 
## -11.6, -11.5, -11.5, -11.4, -11.5, -11.6, -11.8, -17, -17, -16.9, 
## -16.8, -16.7, -16.5, -16.4, -16.4, -16.4, -16.3, -15.9, -15.8, 
## -15.7, -15.5, -15.4, -15.3, -15.3, -1.43, -1.91, -2.4, -2.77, 
## -3.9, -4.48, -6.15, -6.54, -7.21, -8.14, -10.8, -13.2, -14.8, 
## -14.9, -15.1, -15.2, -15.3, -15.4, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.2, -88.2, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.2, -88.1, -88.4, 
## -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.3, -88.3, -88.3, 
## -88.3, -88.2, -88.2, -88.2, -87.7, -87.7, -87.7, -87.6, -87.6, 
## -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, -87.4, 
## -87.5, -87.5, -87.5, -87.6, -87.8, -87.8, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.5, -87.5, -87.5, -87.4, -87.5, -87.4, -87.4, 
## -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, 
## -87.4, -87.4, -87.3, -87.3, -87.3, -87.3, -87.8, -87.8, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -88, -88, -88, -88, -88, -88, -88.1, -88.1, -88.2, -88.2, -88.2, 
## -88.1, -87.6, -87.6, -87.5, -87.5, -87.4, -87.4, -87.4, -87.4, 
## -87.4, -87.4, -87.5, -87.5, -87.6, -87.6, -87.6, -87.7, -87.7, 
## -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, -87.6, -87.5, -87.5, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.7, -87.7, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.5, 
## -87.5, -4.38, -4.71, -4.99, -4.99, -5.01, -4.7, -4.45, -4.37, 
## -3.81, -3.74, -3.56, -3.51, -3.37, -3.34, -3.64, -3.74, -3.85, 
## -3.96, -4, -4.37, -4.42, -4.43, -4.48, -4.52, -4.51, -4.55, -3.72, 
## -3.99, -4.25, -4.49, -4.66, -4.73, -5.01, -5.07, -5.15, -5.19, 
## -5.12, -5.02, -4.92, -4.44, -3.86, -3.79, -4.04, -4.99, -5.12, 
## -5.43, -5.5, -5.37, -5.2, -4.9, -4.46, -4.38, -4.1, -3.95, -3.83, 
## -3.87, -3.87, -3.93, -3.97, -4.04, -4.07, -4.31, -3.05, -2.98, 
## -2.69, -2.46, -2.34, -2.29, -2.18, -2.1, -1.85, -1.85, -1.89, 
## -2.06, -2.28, -2.29, -2.69, -3.13, -3.21, -3.41, -3.42, -2.24, 
## -2.07, -1.98, -2, -2.02, -2.06, -2.07, -2.09, -2.14, -2.16, -2.14, 
## -2.16, -2.2, -2.22, -2.27, -2.3, -2.28, -2.14, -2.1, -2.11, -2.09, 
## -2.06, -2.05, -1.98, -2.02, -2.09, -2.12, -2.12, -1.79, 1.8, 
## 1.67, -93.6, -93.5, -93.5, -93.5, -93.4, -93.4, -93.5, -93.4, 
## -93.4, -93.4, -93.5, -93.6, -93.6, -93.6, -93.6, -93.6, -93.5, 
## -93.5, -93.5, -93.5, -93.5, -93.5, -93.4, -93.4, -93.4, -93.5, 
## -93.5, -93.5, -93.5, -93.5, -93.5, -3.91, -3.77, -3.66, -3.61, 
## -3.47, -3.38, -3.01, -2.96, -2.71, -2.65, -2.84, -2.92, -3.01, 
## -3.43, -3.55, -3.71, -3.88, -3.9, -4.19, -4.32, -4.57, -4.63, 
## -4.65, -4.51, -4.16, -4, -3.64, -2.86, -2.74, -2.57, -2.3, -2.16, 
## -1.63, -1.34, -1.08, -1.31, -1.35, -1.39, -1.49, -1.49, -1.4, 
## -1.3, -1.25, -1.19, -1.03, -0.85, -0.8, -0.78, -0.76, -0.59, 
## -0.32, -0.27, -0.21, -0.15, -0.32, -0.37, -0.42, -0.55, -0.85, 
## -1.09, -1.29, -1.31, -1.42, -1.59, -1.67, -1.76, -1.84, -2.28, 
## -2.81, -3.27, -3.4, -3.56, -3.69, -3.94, -3.9, -3.75, -3.43, 
## -3.3, -3.2, -3.04, -2.93, -2.57, -2.45, -2.91, -2.86, -2.84, 
## -2.84, -2.98, -3.19, -3.42, -3.78, -3.95, -3.97, -4.01, -4.03, 
## -4.06, -4.11, -4.24, -4.37, -4.51, -5.11, -5.31, -5.52, -5.64, 
## -5.92, -6.06, -6.17, -6.32, -6.42, -6.6, -7.29, -7.61, -7.65, 
## -7.63, -7.33, -7.03, -6.66, -6.47, -6.27, -5.97, -5.84, -5.73, 
## -5.43, -5.25, -5, -4.9, -4.71, -4.7, -4.75, -4.78, -4.82, -4.83, 
## -4.83, -4.79, -4.72, -4.35, -4.28, -4.27, -4.18, -4.18, -4.47, 
## -4.67, -4.75, -4.76, -4.77, -4.7, -4.55, -4.31, -3.99, -4, -4.05, 
## -4.15, -4.74, -4.92, -5.02, -5.41, -5.72, -5.89, -6.13, -6.67, 
## -6.98, -7.1, -7.17, -7.14, -7.07, -7, -6.87, -6.58, -6.41, -5, 
## -4.76, -4.24, -4.92, -5.14, -5.61, -6.01, -6.39, -6.43, -6.41, 
## -5.13, -5.06, -4.9, -4.81, -4.74, -4.72, -4.75, -4.77, -4.77, 
## -4.81, -4.85, -4.88, -4.9, -4.89, -4.92, -4.95, -4.95, -5, -5.08, 
## -5.09, -5.15, -5.2, -5.19, -5.18, -5.32, -5.65, -5.79, -6.17, 
## -6.56, -6.96, -7.38, -7.55, -7.48, -6.53, -6.39, -6.24, -6.03, 
## -5.49, -5.29, -3.82, -3.51, -3.39, -3.35, -3.49, -3.57, -3.91, 
## -4.06, -4.29, -4.31, -4.34, -4.29, -4.31, -4.44, -4.54, -4.58, 
## -4.58, -4.52, -4.48, -4.43, -4.37, -4.43, -4.42, -4.48, -4.56, 
## -4.66, -5.37, -5.45, -5.41, -5.33, -5.31, -5.28, -5.22, -5.22, 
## -5.62, -5.61, -5.82, -5.97, -6.14, -6.1, -5.75, -5.5, -4.87, 
## -4.02, -3.8, -3.06, -2.96, -3.13, -3.21, -3.42, -3.52, -3.91, 
## -4.11, -4.19, -4.22, -4.19, -4.1, -3.63, -3.4, -3.27, -3.21, 
## -3.25, -4.33, -4.86, -6.24, -6.8, -6.9, -6.84, -6.76, -6.66, 
## -6.41, -6.01, -5.76, -4.85, -4.34, -4.1, -3.85, -3.62, -3.25, 
## -3.08, -2.89, -2.9, -2.97, -3.01, -3.5, -3.59, -3.65, -3.79, 
## -3.8, -3.61, -3.5, -3.38, -3.31, -3.25, -3.21, -3.26, -3.25, 
## -3.36, -3.35, -3.37, -3.42, -3.47, -3.67, -3.71, -3.89, -4.01, 
## -4.02, -4.1, -4.15, -4.17, -4.32, -4.94, -5.19, -6.19, -7.66, 
## -8.05, -8.4, -8.76, -9.13, -9.45, -10.4, -10.2, -9.48, -9.19, 
## -8.46, -8.06, -6.85, -6.06, -5.11, -4.67, -4.46, -5.08, -5.29, 
## -5.16, -4.1, -4.11, -4.06, -8.5, -8.76, -8.98, -8.95, -8.75, 
## -8.33, -8.08, -7.57, -7.01, -6.1, -5.84, -5.54, -5.29, -4.94, 
## -4.93, -4.97, -5.12, -5.82, -5.99, -6.13, -6.43, -6.44, -6.38, 
## -6.31, -6.18, -5.5, -5.31, -5.02, -4.9, -4.79, -4.79, -4.67, 
## -4.52, -4.45, -4.4, -4.3, -4.27, -4.2, -4.21, -4.19, -4.12, -4.11, 
## -4.05, -4.06, -4.11, -4.14, -4.23, -4.35, -4.45, -5.84, -6.36, 
## -7, -7.09, -6.66, -6.43, -5.48, -5.18, -4.13, -3.77, -2.95, -2.3, 
## -1.88, -1.75, -1.63, -1.54, -1.86, -1.97, -2.1, -2.17, -2.31, 
## -2.44, -2.5, -2.67, -2.84, -2.91, -3.08, -3.19, -3.15, -3.04, 
## -2.85, -2.71, -2.32, -2.19, -2.02, -1.79, -1.29, -92.7, -88.7, 
## -88.7, -88.8, -88.8, -88.8, -88.8, -88.9, -88.9, -88.9, -88.9, 
## -89, -89, -89, -89, -89, -89.1, -88.6, -88.6, -88.6, -88.5, -88.4, 
## -88.4, -88.2, -88.2, -88.2, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.4, -88.4, -88.4, -88.5, -88.5, -88.5, -88.5, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.7, -88.7, -88.8, 
## -88.8, -88.9, -88.9, -88.9, -89, -89, -89, -89.1, -89.1, -89.1, 
## -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, -89.2, -89.2, -89.2, 
## -89.2, -89.2, -89.2, -89.2, -89.1, -89.1, -89.1, -89, -89, -89, 
## -89, -89, -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, 
## -89.1, -89, -89, -89.1, -89.1, -89, -89, -89, -88.9, -88.8, -88.8, 
## -88.7, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.5, -88.5, -88.5, -88.4, -88.4, -88.4, -88.4, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.2, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.2, -88.2, -88.2, -88.2, -88.2, -88.3, -88.3, -88.3, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.2, -88.2, -88.2, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.4, -88.4, 
## -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.5, -88.5, -88.5, 
## -88.6, -88.6, -88.7, -88.7, -88.8, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.8, 
## -88.8, -88.8, -88.7, -88.7, -88.6, -88.6, -88.6, -88.5, -88.5, 
## -88.5, -88.5, -88.4, -88.4, -88.4, -88.5, -88.5, -88.5, -88.5, 
## -88.5, -88.5, -88.5, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.2, -88.2, -88.3, -88.3, -88.3, -88.4, 
## -88.4, -88.4, -88.4, -88.5, -88.5, -88.5, -88.5, -88.6, -88.7, 
## -88.7, -88.7, -88.7, -88.7, -88.7, -88.6, -88.5, -88.4, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.5, -88.5, -88.4, -88.4, -88.4, -88.4, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.4, 
## -88.4, -88.4, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.7, -88.8, -88.8, -88.9, 
## -88.9, -89, -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, 
## -89.1, -89.1, -89, -89, -89, -89, -89, -88.9, -88.9, -88.8, -88.8, 
## -88.8, -88.8, -88.7, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.7, -88.6, -88.6, -88.6, -88.6, -88.6, -88.5, -88.4, 
## -88.4, -88.5, -88.6, -88.6, -88.7, -88.8, -88.8, -88.8, -88.8, 
## -88.8, -88.8, -88.9, -88.8, -88.8, -88.9, -88.9, -88.9, -88.9, 
## -89, -89, -89, -89, -89.1, -89.2, -89.2, -89.2, -89.2, -89.2, 
## -89.3, -89.3, -89.3, -89.3, -89.3, -89.3, -89.2, -89.2, -89.2, 
## -89.1, -89.1, -89.1, -89.1, -89.1, -89.1, -89, -89, -89, -89, 
## -88.9, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, 
## -88.5, -88.5, -88.6, -88.6, -88.6, -88.6, -88.6, -88.5, -88.5, 
## -88.5, -88.5, -88.5, -88.5, -88.6, -88.6, -88.5, -88.5, -88.5, 
## -88.5, -88.5, -88.5, -88.3, -88.4, -88.4, -88.3, -88.3, -88.3, 
## -88.3, -88.2, -88.2, -88.2, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.2, -88.2, -88.2, -88.2, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.3, -88.3, -88.4, -88.5, -88.6, -92.6, -92.6, -92.5, -92.5, 
## -92.5, -92.5, -92.5, -92.4, -92.4, -92.4, -92.4, -92.4, -92.4, 
## -92.5, -92.4, -92.4, -92.4, -92.4, -92.4, -92.4, -92.4, -92.4, 
## -92.4, -92.4, -92.4, -92.4, -92.4, -92.3, -92.3, -92.3, -92.4, 
## -92.4, -92.4, -92.4, -92.4, -92.4, -92.4, -92.4, -92.5, -92.5, 
## -92.5, -92.5, -92.6, -92.6, -92.6, -92.6, -92.6, -92.6, -92.5, 
## -92.5, -92.5, -92.4, -92.4, -92.5, -92.5, -92.5, -92.6, -92.6, 
## -92.6, -92.6, -92.6, -92.6, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.6, -92.6, -92.7, -92.6, -92.7, -92.7, 
## -92.7, -92.7, -92.6, -92.6, -92.6, -92.6, -92.6, -92.6, -92.6, 
## -92.7, -92.6, -92.6, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.6, -92.6, -92.6, -92.7, -92.6, 
## -92.7, -92.7, -92.8, -92.8, -92.7, -92.7, -92.7, -92.7, -92.6, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.8, -92.8, -92.8, 
## -92.8, -92.9, -92.9, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.6, -92.6, -92.6, -92.7, -92.6, -92.6, -92.6, -92.6, 
## -92.6, -92.6, -92.6, -92.6, -92.6, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.8, -92.8, -92.8, -92.8, -92.7, -92.8, -92.7, 
## -92.7, -92.7, -92.7, -92.8, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.8, -92.8, -92.8, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.8, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.6, -92.6, 
## -92.6, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.9, -92.9, -92.9, -92.9, -92.8, -92.8, 
## -92.8, -92.8, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.9, -92.9, -92.9, 
## -93, -93, -93.1, -93.1, -93.1, -93.2, -93.3, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.4, -93.3, -93.4, -93.4, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -92.8, -92.8, 
## -92.8, -92.8, -92.9, -92.9, -92.9, -93, -93, -93, -93, -93, -93, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93, -93, -93.1, -93.1, -93, -93, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.2, -93.2, -93.2, -93.2, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.2, -93.2, -93.2, -93.2, -93.2, 
## -93.2, -93.2, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93, -93, -93, -93, -93, -93, -93, -93, 
## -93, -93, -93, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.2, -93.2, -93.2, -93.2, -93.2, -92.3, -92.3, -92.3, 
## -92.2, -92.2, -92.2, -92.2, -92.2, -92.2, -92.1, -92.1, -92, 
## -91.9, -91.9, -91.9, -91.8, -91.8, -91.8, -91.8, -91.8, -91.7, 
## -91.7, -91.7, -91.6, -91.5, -91.5, -91.5, -91.5, -91.4, -91.3, 
## -91.3, -91.3, -91.2, -91.2, -91.1, -91, -91, -91, -90.9, -90.9, 
## -90.8, -90.8, -90.8, -90.8, -90.7, -90.7, -90.6, -90.6, -90.5, 
## -90.5, -90.5, -90.5, -90.5, -90.5, -90.4, -90.4, -90.4, -90.4, 
## -90.4, -90.3, -90.3, -90.3, -90.3, -90.2, -90.2, -90.2, -90.2, 
## -90.2, -90.1, -90.1, -90, -90, -90.1, -90.1, -90.2, -90.3, -90.4, 
## -90.4, -90.5, -88.2, -88.2, -88.2, -88.3, -88.3, -88.2, -88.2, 
## -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, -88.3, -88.3, 
## -88.4, -88.4, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.6, 
## -88.6, -88.6, -88.5, -88.5, -88.5, -88.5, -88.4, -88.4, -88.4, 
## -88.1, -88.1, -88.1, -88, -88, -88.3, -88.5, -88.5, -88.5, -88.3, 
## -88.2, -88.2, -88, -87.9, -87.9, -87.9, -87.9, -88.1, -88.1, 
## -88.1, -88.2, -88.3, -88.4, -88.5, -88.5, -88.6, -88.6, -88.6, 
## -88.6, -88.5, -88.4, -88.3, -88.3, -88.3, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.3, -88.4, -88.4, -88.4, 
## -88.4, -88.3, -88.3, -88.2, -88.1, -88.1, -88, -87.9, -87.9, 
## -87.9, -87.9, -88, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.3, -88.4, -88.4, -88.4, -88.4, -88.4, -88.3, -88.2, -88, 
## -87.9, -87.8, -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, 
## -87.9, -87.9, -87.9, -88, -88.1, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.1, -87.9, -87.9, -87.8, -87.8, -87.8, 
## -87.9, -88, -88, -88.1, -88.1, -88.2, -88.2, -88.2, -88.1, -88.1, 
## -88, -87.9, -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.8, -87.8, -87.9, -87.9, -87.9, -88, -88, -88.1, -88.1, 
## -88.2, -88.2, -88.2, -88.1, -88, -88, -87.9, -87.9, -87.8, -87.8, 
## -87.7, -87.7, -87.7, -87.8, -87.9, -87.9, -87.9, -88, -88, -88.1, 
## -88.1, -88.1, -87.9, -87.9, -87.7, -87.7, -87.7, -87.7, -87.6, 
## -87.7, -87.7, -87.7, -87.8, -87.9, -88, -88, -88.1, -88.1, -88.2, 
## -88.2, -88.2, -88.2, -88.1, -88.1, -88.1, -88.2, -88.1, -88, 
## -88, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.8, -87.7, -87.6, -87.5, -87.6, -87.6, -87.7, 
## -87.8, -87.8, -87.7, -87.6, -87.5, -87.4, -87.3, -87.3, -87.2, 
## -87.1, -87.1, -87.1, -87.1, -87.1, -87.2, -87.2, -87.2, -87.3, 
## -87.3, -87.3, -87.3, -87.3, -87.3, -87.3, -87.3, -87.3, -87.3, 
## -87.2, -87.1, -87.1, -87, -87, -87, -87.1, -87.3, -87.4, -87.5, 
## -87.6, -87.6, -87.6, -87.6, -87.5, -87.5, -87.4, -87.4, -87.4, 
## -87.3, -87.2, -87.1, -87.1, -87, -86.9, -86.9, -86.7, -86.7, 
## -86.8, -86.8, -87, -87, -87.1, -87, -86.9, -86.9, -86.9, -86.9, 
## -86.9, -87, -87, -87, -87.1, -87.1, -87.1, -87.1, -87, -86.9, 
## -86.9, -87, -87, -87, -87.1, -87.1, -87.2, -87.2, -87.4, -87.4, 
## -87.4, -87.4, -87.3, -87.3, -87.2, -87.1, -87.1, -87, -87, -86.9, 
## -86.9, -87, -87, -87.2, -87.3, -88.1, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.3, -88.3, -88.3, -88.3, -88, -88, -88, 168, 168, 168, 
## 168, 168, 168, 168, 169, 169, 169, 169, 169, 168, 168, 168, 168, 
## 168, 167, 167, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 165, 165, 165, 165, 165, 165, 165, 165, 164, 164, 
## 165, 165, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 165, 
## 164, 164, 164, 164, 164, 164, 164, 165, 165, 165, 165, 165, 165, 
## 165, 164, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 165, 
## 165, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 
## 165, 164, 164, 164, 164, 164, 164, 163, 163, 163, 163, 163, 164, 
## 163, 163, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 165, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 165, 
## 165, 165, 164, 164, 164, 164, 164, 164, 164, 165, 165, 164, 164, 
## 164, 164, 164, 164, 163, 164, 164, 164, 164, 164, 164, 164, 164, 
## 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 
## 165, 165, 165, 165, 166, 166, 166, 166, 166, 166, 165, 165, 164, 
## 164, 164, 164, 164, 164, 164, 163, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 164, 164, 164, 164, 164, 164, 164, 164, 164, 165, 
## 165, 165, 165, 165, 165, 166, 166, 166, 165, 165, 165, 166, 166, 
## 166, 167, 167, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 
## 177, -179, -178, -178, -178, -177, -176, -176, -176, -175, -175, 
## -175, -175, -175, -174, -174, -174, -174, -174, -173, -173, -173, 
## -174, -174, -174, -174, -174, -175, -175, -175, -175, -176, -177, 
## -177, -178, -178, -179, -179, -179, -180, 179, 179, 178, 178, 
## 177, 175, 174, 171, 169, 167, 166, 163, 163, 163, 163, 163, 163, 
## 163, 163, 163, 164, 165, 165, 165, 166, 166, 166, 166, 167, 167, 
## 167, 168, 169, 169, 169, 169, 169, 169, 169, 169, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 163, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 163, 163, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 163, 
## 163, 163, 163, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 167, 167, 
## 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 
## 167, 167, 167, 167, 167, 167, 167, 166, 166, 168, 168, 168, 168, 
## 168, 168, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 
## 167, 167, 172, 172, 171, 171, 171, 171, 172, 172, 172, 172, 172, 
## 172, 172, 172, 171, 171, 170, 169, 169, 169, 169, 169, 168, 168, 
## 168, 168, 168, 168, 168, -1.45, -1.63, -1.67, -1.84, -1.94, -2.04, 
## -2.06, -2.01, -2.04, -2.17, -2.12, -2.11, -2.18, -2.28, -2.54, 
## -2.76, -3.44, -4.19, -4.44, -4.67, -4.74, -5.07, -6.43, -6.38, 
## -6.33, -6.25, -6.2, -5.62, -5.36, -5.06, -4.87, -4.78, -4.69, 
## -4.62, -4.86, -4.9, -4.93, -5.04, -5.24, -5.31, -5.52, -5.51, 
## -5.59, -5.59, -5.58, -5.55, -5.57, -5.56, -5.53, -5.48, -5.52, 
## -5.55, -5.37, -5.25, -5.19, -4.94, -4.84, -4.74, -4.68, -4.64, 
## -4.58, -4.49, -4.76, -4.99, -5.1, -5.38, -6.08, -6.72, -6.95, 
## -7.02, -7.13, -7.32, -7.43, -7.61, -7.84, -8.07, -8.13, -8.23, 
## -8.32, -8.44, -8.57, -8.62, -8.68, -8.66, -8.48, -8.46, -8.41, 
## -8.21, -8.17, -8.15, -8.11, -8.1, -8.07, -7.91, -7.8, -7.74, 
## -7.59, -7.51, -7.42, -7.32, -7.23, -7.18, -7.12, -7.05, -6.99, 
## -6.81, -6.62, -6.5, -6.25, -6.03, -5.95, -5.91, -6.19, -6.71, 
## -6.71, -6.76, -6.72, -6.73, -6.74, -6.68, -6.6, -6.44, -6.4, 
## -6.38, -6.42, -6.41, -6.32, -5.94, -5.64, -5.54, -5.34, -5.26, 
## -5.07, -4.97, -4.95, -4.96, -5.05, -5.09, -5.82, -6.07, -6.29, 
## -6.41, -6.64, -6.7, -6.96, -6.99, -7.18, -7.26, -7.07, -6.99, 
## -7.09, -7.16, -7.27, -7.37, -7.46, -7.57, -7.63, -7.69, -7.7, 
## -7.69, -7.68, -7.54, -7.45, -7.31, -7.26, -7.09, -7.05, -7.03, 
## -7.08, -7.13, -7.13, -6.99, -6.77, -6.51, -6.42, -6.32, -6.23, 
## -6.18, -5.95, -5.89, -5.81, -5.77, -5.7, -5.63, -5.64, -5.54, 
## -5.54, -5.53, -5.56, -5.58, -5.53, -4.55, -4.57, -4.94, -5.22, 
## -5.36, -5.85, -6.35, -6.52, -6.72, -7.24, -7.46, -7.57, -7.87, 
## -7.89, -7.95, -7.93, -7.82, -7.65, -7.52, -7.39, -7.29, -7.32, 
## -7.25, -7.11, -7.07, -4.72, -4.77, -4.86, -4.96, -5.06, -5.12, 
## -5.03, -4.56, -4.53, -4.52, -4.38, -4.25, -4.23, -3.96, -3.69, 
## -3.51, -3.35, -3.19, -3.12, -3.06, -2.98, -3.04, -3.01, -3.14, 
## -3.18, -3.39, -3.41, -3.46, -3.43, -3.57, -3.66, -3.78, -3.91, 
## -3.96, -4.17, -4.13, -4.14, -4.14, -4.22, -4.23, -4.32, -4.52, 
## -4.54, -4.48, -4.52, -4.51, -4.47, -4.46, -4.48, -4.48, -4.51, 
## -4.49, -4.46, -4.48, -4.5, -4.44, -4.5, -4.55, -4.55, -4.59, 
## -4.59, -4.49, -4.46, -4.23, -3.95, -3.98, -4.32, -4.42, -4.55, 
## -4.63, -4.72, -4.75, -4.78, -4.91, -4.94, -4.96, -4.93, -4.99, 
## -4.98, -5.09, -5.12, -5.13, -5.15, -5.12, -5.08, -4.87, -4.7, 
## -4.57, -4.43, -4.35, -3.95, -3.67, -3.72, -3.65, -3.73, -3.84, 
## -3.97, -4.19, -4.29, -4.71, -4.82, -4.88, -5.18, -5.04, -4.94, 
## -4.97, -5, -5.02, -5.05, -5.08, -5.11, -5.12, -5.17, -5.2, -5.24, 
## -5.28, -5.54, -5.71, -5.8, -5.85, -5.92, -5.92, -5.84, -5.68, 
## -5.61, -5.54, -5.49, -5.5, -5.48, -5.38, -5.46, -5.5, -5.64, 
## -5.69, -5.78, -5.78, -5.78, -5.67, -5.64, -5.52, -5.49, -5.33, 
## -5.01, -4.73, -4.95, -5.07, -5.23, -5.6, -5.93, -6.23, -6.4, 
## -6.54, -6.81, -6.92, -6.99, -7.03, -7.31, -7.35, -7.48, -7.83, 
## -7.94, -8.02, -7.96, -7.83, -7.36, -7.07, -6.91, -6.79, -6.62, 
## -6.53, -6.42, -5.98, -5.85, -5.66, -5.56, -6.01, -6.19, -6.57, 
## -6.75, -7.16, -7.2, -7.31, -7.24, -7.26, -7.3, -7.3, -7.11, -5.45, 
## -5.04, -4.84, -4.65, -4.14, -3.91, -3.56, -3.55, -3.54, -3.7, 
## -3.8, -3.87, -3.89, -3.99, -4.18, -4.25, -4.29, -4.61, -4.74, 
## -5.07, -5.16, -5.22, -5.52, -5.87, -6.18, -6.6, -6.62, -6.63, 
## -6.58, -6.46, -6.37, -6.24, -5.89, -5.75, -5.5, -5.32, -5.11, 
## -4.91, -4.52, -4.39, -4.43, -4.59, -4.81, -5.51, -5.53, -5.59, 
## -5.88, -5.88, -5.83, -5.79, -5.72, -5.66, -5.68, -5.65, -5.65, 
## -5.67, -5.61, -5.67, -5.78, -5.84, -5.89, -6.02, -6.01, -6.05, 
## -5.99, -5.87, -5.82, -5.7, -5.76, -5.98, -6.02, -6.09, -6.23, 
## -6.32, -6.39, -6.38, -6.31, -5.6, -5.33, -5.24, -5.01, -5.05, 
## -5.04, -5.09, -5.11, -5.05, -5.06, -5.06, -5.01, -4.78, -4.61, 
## -4.52, -4.39, -4.28, -4.08, -3.93, -3.82, -3.96, -4.09, -4.57, 
## -4.85, -4.88, -4.94, -5.09, -5.25, -5.31, -5.47, -5.47, -5.53, 
## -5.65, -5.59, -5.16, -5.07, -4.87, -4.65, -4.47, -4.36, -4.28, 
## -4.24, -4.19, -4.19, -4.21, -4.26, -4.28, -4.33, -4.44, -4.5, 
## -4.52, -4.52, -4.47, -4.42, -4.32, -4.3, -3.89, -3.73, -3.58, 
## -3.52, -3.42, -3.35, -3.29, -3.23, -3.25, -3.18, -3.42, -3.49, 
## -3.55, -3.62, -3.64, -3.67, -3.88, -3.8, -3.57, -3.26, -3.07, 
## -2.73, -2.66, -2.56, -2.16, -2.13, -2.09, -2.11, -2.24, -2.33, 
## -2.47, -2.5, -2.62, -2.78, -3.09, -3.32, -3.56, -3.98, -5.18, 
## -5.44, -5.68, -5.93, -6.03, -6.44, -6.37, -6.39, -6.36, -6.37, 
## -6.32, -6.23, -6.09, -6.11, -6.02, -5.97, -5.99, -5.98, -5.88, 
## -5.81, -5.8, -5.74, -5.8, -5.79, -5.72, -5.62, -5.61, -5.48, 
## -5.29, -5.04, -4.92, -4.84, -4.71, -4.59, -4.53, -4.4, -4.29, 
## -4.28, -4.38, -4.37, -4.38, -4.44, -4.48, -4.54, -4.35, -4.31, 
## -4.27, -3.97, -3.9, -3.76, -3.62, -3.4, -3.3, -3.25, -3.17, -3.1, 
## -3.14, -3.02, -3.01, -2.9, -2.89, -2.84, -2.63, 173, 173, 173, 
## 172, 172, 168, 168, 168, 169, 169, 169, 169, 169, 169, 169, 169, 
## 169, 168, 168, 168, 168, 168, 168, 168, 168, 168, 167, 167, 167, 
## 167, 167, 168, 168, 168, 168, 168, 168, 168, 169, 169, 169, 169, 
## 168, 168, 168, 168, 168, 168, 167, 167, 167, 167, 167, 167, 167, 
## 167, 167, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 
## 168, 168, 168, 168, 168, 168, 168, 168, 168, 167, 167, 167, 167, 
## 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 
## 168, 168, 168, 167, 167, 167, -6.22, -6.11, -6.04, -5.99, -5.71, 
## -5.47, -5.36, -5.18, -4.54, -4.33, -4.2, -4.03, -4.1, -4.21, 
## -4.26, -4.43, -4.57, -5.25, -5.46, -5.54, -5.87, -6.94, -6.85, 
## -6.91, -6.78, -6.82, -6.81, -6.77, -6.83, -6.8, -6.78, -6.72, 
## -6.73, -6.69, -6.68, -6.75, -6.77, -6.84, -6.78, -6.79, -6.86, 
## -6.78, -6.61, -6.54, -6.13, -5.96, -6.93, -6.22, -6.13, -5.87, 
## -5.79, -5.6, -5.56, -5.42, -5, -4.82, -4.69, -4.53, -4.45, -4.48, 
## -4.48, -4.52, -4.47, -4.46, -4.44, -5.76, -5.87, -6.08, -6.19, 
## -6.37, -6.51, -6.61, -6.75, -7.11, -7.1, -6.99, -6.85, -6.55, 
## -6.41, -6.02, -5.17, -4.94, -4.78, -4.75, -4.72, -4.66, -4.6, 
## -4.47, -5.08, -5.12, -5.11, -5.16, -5.17, -5.18, -5.29, -5.71, 
## -6.1, -6.27, -6.34, -6.36, -6.38, -6.53, -6.54, -6.54, -6.55, 
## -6.47, -6.47, -6.46, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.2, -88.2, -88, 
## -88, -88, -87.9, -87.9, -87.9, -87.4, -87.5, -87.6, -87.7, -87.7, 
## -87.7, -87.8, -87.8, -87.9, -87.9, -87.9, -88, -88, -88, -88, 
## -88, -88.1, -88.1, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88.1, -87.9, -88, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88, -87.8, -87.8, -87.8, -87.7, -87.7, -87.6, -87.6, -87.6, 
## -87.5, -87.6, -87.7, -87.8, -87.8, -87.9, -87.9, -88, -88, -87.9, 
## -87.9, -88.4, -88.4, -88.3, -88.3, -88.3, -88.2, -88.2, -88.1, 
## -88.1, -88, -88, -87.9, -88, -88.1, -88.1, -88.1, -88.2, -88.3, 
## -88.3, -88.3, -88.4, -88.4, -87.9, -87.9, -88, -88, -88, -88, 
## -88.1, -88.1, -88.2, -88.3, -88.3, -88.4, -88.4, -88.5, -88.5, 
## -88.4, -88.3, -88.3, -88.3, -88.2, -88.1, -88.1, -88.1, -88, 
## -88, -88, -88.1, -88.1, -88.2, -88.2, -88.8, -88.9, -88.9, -89, 
## -89, -89.1, -89.1, -89.1, -89, -89, -89, -89, -89, -89, -89, 
## -89, -89, -89, -89.1, -89.1, -89.2, -89.3, -89.4, -89.4, -89.5, 
## -89.5, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.8, -88.8, 
## -88.7, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, 
## -88.5, -88.5, -88.5, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.5, -88.4, -88.4, -88.5, -88.5, -88.5, -88.5, -88.5, 
## -88.5, -88.5, -88.5, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.4, -88.3, -88.3, -88.3, -88.3, -88.3, -88.4, -88.4, 
## -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.4, -88.4, 
## -88.4, -88.4, -88.5, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -89.3, -89.2, -89.1, -89, 
## -88.9, -88.8, -88.8, -88.8, -88.8, -88.7, -88.7, -88.7, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.7, -89.1, -89.1, 
## -89.1, -89.2, -89.3, -89.4, -89.4, -89.4, -89.4, -89.4, -89.5, 
## -89.5, -89.5, -89.5, -89.5, -89.4, -89.4, -89.3, -89.3, -89.3, 
## -89.3, -4.2, -4.73, -4.82, -4.89, -4.98, -5.01, -5.04, -5.05, 
## -5.09, -5.15, -5.18, -5.24, -5.29, -5.35, -5.43, -5.44, -5.48, 
## -5.47, -5.47, -5.55, -5.57, -5.96, -6.1, -6.46, -6.63, -6.93, 
## -7.09, -7.73, -7.98, -5.64, -5.99, -6.2, -8.43, -8.77, -9.03, 
## -9.54, -9.95, -10.2, -10.1, -9.91, -9.75, -9.26, -8.74, -7.97, 
## -7.22, -6.99, -6.83, -2.3, -2.29, -2.2, -1.99, -2.05, -2.15, 
## -2.35, -2.54, -2.63, -3.14, -3.09, -3.1, -3, -2.98, -3, -3.04, 
## -3.09, -90.8, -90.8, -90.5, -90.5, -90.5, -90.5, -90.5, -90.5, 
## -90.6, -90.6, -90.6, -90.7, -90.7, -90.7, -90.7, -90.7, -90.7, 
## -90.7, -90.8, -90.8, -93.2, -93.1, -93.1, -93.1, -93.1, -93, 
## -93, -93, -93, -93, -92.9, -92.9, -92.9, -92.9, -92.9, -92.8, 
## -92.8, -92.8, -92.7, -92.7, -92.6, -92.5, -92.4, -92.3, -92.3, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.2, -93.2, -93.2, -93.3, -93.3, 
## -93.3, -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, 
## -93.2, -93.2, -93.2, -93.2, -93.1, -93.1, -93, -92.9, -92.9, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.8, -92.8, -92.8, -92.7, 
## -92.7, -92.7, -92.8, -92.7, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.7, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.7, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.7, -92.7, 
## -92.6, -92.6, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.7, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.8, -92.7, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.8, -92.8, -0.96, 
## -0.78, -0.78, -1.01, -1.12, -1.24, -1.4, -1.73, -2.22, -2.36, 
## -2.51, -2.61, -2.79, -2.88, -2.9, -2.96, -3.09, -3.22, -3.29, 
## -3.4, -3.56, -3.61, -3.79, -3.93, -4.1, -4.23, -4.2, -4.18, -4.14, 
## -4.16, -4.19, -4.19, -4.11, -4.09, -4.06, -4.06, -4.01, -3.91, 
## -3.86, -3.71, -3.64, -3.64, -3.7, -3.68, -3.67, -3.65, -3.58, 
## -3.29, -3.2, -3.2, -3.2, -3.25, -3.33, -3.34, -3.25, -3.06, -2.84, 
## -2.79, -2.72, -2.69, -2.68, -2.64, -2.66, -2.61, -2.57, -2.57, 
## -2.57, -2.55, -2.56, -2.54, -2.56, -2.56, -2.73, -3.09, -3.23, 
## -3.58, -3.77, -3.91, -4.14, -4.13, -4.1, -4.08, -4.07, -4.14, 
## -4.17, -4.29, -4.38, -4.36, -4.32, -4.3, -4.27, -4.17, -4.07, 
## -4.09, -4.1, -4.08, -4.18, -4.24, -4.27, -4.33, -4.32, -4.3, 
## -4.31, -4.27, -4.29, -4.41, -4.43, -4.37, -4.32, -4.22, -4.2, 
## -4.29, -4.38, -4.34, -4.3, -4.12, -3.79, -3.71, -3.71, -3.37, 
## -3.22, -2.9, -2.9, -2.88, -2.88, -2.96, -3.05, -3.14, -3.35, 
## -3.68, -3.85, -4.12, -2.75, -2.87, -3.17, -3.23, -3.26, -3.28, 
## -3.21, -3.13, -3.03, -2.95, -2.88, -2.83, -2.8, -2.83, -2.81, 
## -2.85, -2.83, -2.8, -2.81, -2.85, -2.84, -2.78, -3.01, -3.07, 
## -3.13, -3.08, -2.85, -2.94, -3.03, -3.09, -3.18, -3.47, -3.58, 
## -4.11, -4.25, -4.73, -4.79, -4.81, -4.64, -4.63, -4.64, -4.59, 
## -4.64, -4.66, -4.63, -4.54, -4.43, -4.3, -4.09, -4.07, -4.08, 
## -4.13, -4.15, -4.2, -4.21, -4.27, -4.32, -4.36, -4.48, -4.46, 
## -4.33, -4.17, -4.07, -4.06, -4.05, -4.02, -3.98, -3.97, -3.91, 
## -3.91, -3.84, -3.79, -3.82, -3.97, -4.24, -4.35, -4.47, -4.56, 
## -4.69, -4.63, -4.56, -4.58, -4.53, -4.51, -4.5, -4.67, -4.96, 
## -5.23, -5.76, -6.1, -6.26, -6.32, -6.36, -6.37, -6.36, -6.31, 
## -6.26, -6.29, -6.24, -6.25, -6.12, -6.05, -6.01, -5.96, -5.92, 
## -5.88, -5.85, -5.88, -5.86, -5.87, -5.91, -5.87, -5.82, -5.74, 
## -5.06, -5, -4.83, -4.62, -4.55, -4.34, -4.27, -4.16, -4.2, -4.31, 
## -4.36, -4.39, -4.87, -5.04, -5.44, -5.68, -5.85, -6.1, -6.18, 
## -6.17, -6.13, -6.15, -5.93, -5.68, -5.72, -5.78, -5.82, -5.85, 
## -5.92, -5.85, -5.76, -5.69, -5.66, -5.87, -5.9, -6.06, -6.09, 
## -6.12, -6.12, -5.8, -5.68, -5.58, -5.46, -5.4, -5.39, -5.42, 
## -5.39, -5.35, -5.28, -5.3, -5.35, -5.31, -5.32, -5.24, -5.22, 
## -4.96, -4.73, -4.86, -4.94, -5.01, -5.12, -5.33, -5.69, -6.21, 
## -6.67, -6.81, -6.74, -6.69, -6.6, -6.49, -6.39, -6.33, -6.16, 
## -6.15, -6.13, -6.08, -5.95, -5.93, -5.92, -5.77, -5.64, -5.49, 
## -5.33, -5.12, -4.83, -4.78, -4.78, -4.96, -4.96, -4.96, -4.93, 
## -4.86, -4.79, -4.79, -4.74, -4.51, -4.5, -4.33, -4.28, -4.36, 
## -4.47, -4.54, -4.56, -4.62, -5.05, -5.32, -5.46, -5.89, -5.97, 
## -6.12, -6.17, -6.14, -6.03, -6.05, -5.95, -5.86, -5.88, -5.9, 
## -5.96, -5.95, -5.95, -5.93, -5.94, -5.96, -5.94, -5.98, -6, -6.03, 
## -6.02, -5.95, -5.94, -5.95, -5.95, -5.9, -6.02, -6.02, -89.6, 
## -89.6, -89.7, -89.7, -89.6, -89.6, -89.6, -89.5, -89.5, -89.4, 
## -89.4, -89.4, -89.4, -89.4, -89.4, -89.4, -89.3, -89.3, -89.3, 
## -89.3, -89.2, -89.2, -89.2, -89.2, -89.1, -89.1, -89, -89, -89, 
## -89, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.9, -88.9, -88.9, -88.8, -88.7, -88.6, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.3, 
## -88.3, -88.2, -88.2, -88.2, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.4, -88.4, -88.4, -88.4, -88.4, -88.5, -88.5, -88.5, 
## -88.4, -88.5, -88.6, -88.6, -88.6, -88.5, -88.5, -88.5, -88.4, 
## -88.4, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, 
## -88.5, -88.6, -88.5, -88.5, -88.5, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.5, -88.5, -88.5, -88.5, -88.5, -88.4, 
## -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.3, -88.3, -88.3, 
## -88.3, -88.4, -88.4, -88.4, -88.4, -88.5, -88.5, -88.5, -88.5, 
## -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.4, -88.4, -88.4, 
## -88.3, -88.3, -88.3, -88.3, -88.4, -88.4, -88.4, -88.4, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, -88.3, 
## -88.3, -88.4, -88.3, -88.3, -88.3, -88.3, -88.6, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.5, -88.5, -88.4, -88.4, -88.4, 
## -88.4, -88.1, -88, -88, -88, -88, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -88, -88.1, -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.1, -88.1, -88.1, -88.2, -88.2, -88.2, -88, 
## -88, -88, -88, -88.1, -88.1, -88.1, -88.1, -88.2, -88.2, -88.2, 
## -88.2, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.2, 
## -88.2, -88.2, -88.2, -88.3, -88.2, -88.2, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88, 
## -88, -88, -88, -87.9, -87.9, -87.9, -87.9, -88, -88, -88, -88.1, 
## -88.1, -88.1, -88.1, -88.2, -88.1, -88.1, -88.1, -88.1, -88, 
## -88, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88, -88, -88, -88, -88, -88, -88, -88, -88.1, 
## -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.2, -88.2, -88.3, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.4, -88.4, -88.3, -88.3, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.2, -88.2, -88.2, -88.2, 
## -88.1, -87.8, -87.9, -87.9, -87.8, -87.9, -87.9, -87.9, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, -87.6, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, -87.5, -87.4, -87.5, 
## -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.3, -87.3, -87.3, 
## -87.3, -87.3, -87.3, -87.3, -87.3, -87.4, -87.4, -87.4, -87.4, 
## -87.4, -87.4, -87.4, -87.4, -87.4, -87.3, -87.2, -87.2, -87.2, 
## -87.1, -87.1, -87.1, -90.8, -90.7, -90.8, -90.8, -90.8, -90.8, 
## -90.8, -90.8, -90.8, -90.8, -90.9, -90.9, -90.9, -91, -91.1, 
## -91.1, -91.2, -91.2, -91.2, -91.2, -91.3, -91.4, -91.4, -91.4, 
## -91.4, -91.5, -91.5, -91.5, -91.5, -91.5, -91.5, -91.5, -91.6, 
## -91.6, -91.6, -91.6, -91.7, -91.7, -91.7, -91.7, -91.7, -91.8, 
## -91.8, -91.8, -91.9, -91.9, -91.9, -91.9, -92, -92, -92, -92, 
## -92.1, -92, -92, -92, -92, -92, -92, -92.1, -92.1, -92.2, -92.2, 
## -92.3, -92.3, -92.3, -92.4, -92.4, -92.4, -92.4, -92.4, -92.5, 
## -92.5, -92.6, -92.6, -92.6, -92.6, -92.7, -92.7, -92.7, -92.7, 
## -92.6, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.6, -92.6, 
## -92.5, -92.5, -92.5, -92.5, -92.5, -92.5, -92.5, -92.5, -92.6, 
## -92.6, -92.6, -92.6, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.9, -92.9, -92.9, -93, -93, -93, -93, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.7, -92.7, -92.7, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.9, -92.9, -93, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.2, -93.2, -93.2, -93.2, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93, -93, -93, -93, -93, -93, -92.9, -92.9, -93, 
## -93, -92.9, -92.9, -92.8, -92.8, -92.7, -92.7, -92.7, -92.7, 
## -92.8, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.7, -92.6, -92.6, -92.6, -92.6, -92.6, -92.6, -92.7, -92.8, 
## -92.8, -92.8, -92.9, -92.9, -93, -93, -93.1, -93.1, -93.1, -93.1, 
## -93, -93, -93, -92.9, -93, -92.9, -92.9, -93, -93, -92.9, -92.9, 
## -92.9, -92.8, -92.6, -92.5, -92.5, -92.5, -92.5, -92.6, -92.6, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.9, -92.9, -92.9, 
## -92.9, -92.9, -92.9, -92.9, -92.9, -92.9, -92.9, -92.8, -92.9, 
## -92.9, -92.9, -92.9, -92.7, -92.6, -92.5, -92.4, -92.4, -92.3, 
## -92.3, -92.3, -92.4, -92.4, -92.5, -92.5, -92.6, -92.5, -92.6, 
## -92.5, -92.5, -92.5, -92.5, -92.5, -92.6, -92.6, -92.6, -92.6, 
## -92.7, -92.7, -92.7, -92.7, -92.8, -92.8, -92.8, -92.8, -92.7, 
## -92.8, -92.8, -92.8, -92.8, -92.7, -92.7, -92.7, -92.8, -92.8, 
## -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.6, -92.7, -92.6, 
## -92.6, -92.6, -92.6, -92.6, -92.5, -92.5, -92.6, -92.6, -92.6, 
## -92.7, -92.7, -92.8, -92.8, -92.9, -92.9, -92.9, -92.9, -92.9, 
## -92.9, -92.9, -93, -92.9, -92.9, -92.9, -92.9, -92.9, -92.9, 
## -92.9, -92.9, -92.9, -92.9, -92.9, -93, -93, -93, -93.1, -93.1, 
## -93.2, -93.2, -93.2, -93.1, -93.1, -93, -93, -93.1, -93.1, -93.2, 
## -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, 
## -93.3, -93.2, -93.2, -93.1, -93.1, -93.1, -93.1, -93.1, -93, 
## -92.8, -92.7, -92.7, -92.7, -92.7, -92.7, -92.7, -92.6, -92.7, 
## -92.7, -92.7, -92.7, -92.7, -92.8, -92.8, -92.9, -92.9, -92.9, 
## -92.9, -92.9, -92.9, -92.8, -92.8, -92.8, -92.8, -92.8, -92.8, 
## -92.8, -92.8, -92.9, -92.9, -93.1, -93.1, -93.1, -93.2, -93.2, 
## -93.1, -93.1, -93.1, -93, -92.9, -92.9, -92.9, -92.8, -92.8, 
## -92.8, -92.8, -92.9, -92.9, -92.9, -93, -93, -93, -93, -93, -93.1, 
## -93.1, -93.2, -93.2, -93.2, -93.2, -93.2, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.4, 
## -93.4, -93.4, -93.4, -93.4, -93.5, -93.5, -93.5, -93.5, -88, 
## -88, -88, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.8, -87.8, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -88, 
## -88, -88, -88, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -88, 
## -88, -88, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.2, -88.2, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88, -87.9, -87.8, -87.8, -87.9, -87.9, -87.9, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -87.9, -87.8, 
## -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88, -87.9, -87.9, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.9, -87.9, -87.9, -88, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -88, -88, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88, -88, -87.9, -87.9, -88, -88, 
## -88, -88.1, -88.2, -88.1, -88.1, -88.1, -88.1, -88, -88, -88, 
## -88, -88, -88.1, -88.1, -88.1, -88.1, -88.1, -88, -88, -88, -88, 
## -87.9, -87.9, -87.9, -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, 
## -87.8, -87.9, -88, -88, -87.9, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, 
## -87.9, -88, -88, -88, -88.1, -88.1, -88.1, -88.2, -88.2, -88.2, 
## -88.1, -88.1, -88, -88, -88, -88, -88, -87.9, -88, -88, -88, 
## -88, -88.1, -88.1, -88, -88, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88.1, -88, -88, -88, -88, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88, -88, -88, -88, -88, -88, -87.9, -87.9, 
## -87.9, -87.8, -87.8, -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.5, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, -87.4, -87.4, 
## -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, -87.2, -87.2, 
## -87.2, -87.2, -87.1, -87.1, -87.1, -87.1, -87.1, -87.2, -87.3, 
## -87.4, -87.4, -87.5, -87.5, -87.4, -87.4, -87.4, -87.4, -87.4, 
## -87.4, -87.3, -87.2, -87.2, -87.2, -87.2, -87.2, -87.3, -87.4, 
## -87.4, -87.5, -87.6, -87.7, -87.7, -87.8, -87.8, -87.8, -87.5, 
## -87.5, -87.4, -87.4, -87.3, -87.3, -87.3, -87.3, -87.6, -87.7, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.6, -87.6, -87.7, 
## -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.9, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, -88.1, 
## -87.8, -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, 
## -87.8, -87.8, -87.8, -87.7, -87.8, -87.8, -87.8, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, 169, 168, 167, 167, 167, 167, 167, 
## 168, 168, 168, 168, 168, 167, 167, 167, 167, 167, 166, 166, 166, 
## 166, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 165, 165, 165, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 164, 164, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 164, 164, 164, 164, 163, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 162, 162, 162, 162, 163, 163, 162, 162, 
## 162, 162, 162, 162, 162, 162, 161, 161, 161, 162, 162, 162, 162, 
## 162, 161, 161, 161, 161, 162, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 162, 162, 162, 162, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 162, 
## 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 160, 160, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 162, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 162, 162, 162, 162, 161, 161, 161, 161, 161, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 160, 160, 160, 
## 160, 160, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 162, 
## 162, 162, 162, 162, 162, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 161, 162, 162, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 163, 163, 163, 
## 163, 163, 163, 163, 163, 163, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 161, 161, 162, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 163, 163, 163, 164, 164, 164, 165, 165, 165, 166, 166, 
## 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 
## 166, 166, 166, 166, 166, 166, 166, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 165, 165, 164, 
## 164, 163, 164, 164, 164, 164, 164, 165, 165, 165, 165, 165, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 164, 164, 164, 164, 
## 164, 164, 164, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 161, 161, 162, 162, 162, 162, 162, 162, 162, 162, 162, 
## 162, 162, 162, 162, 162, 162, 162, 162, 162, 160, 160, 160, 160, 
## 160, 160, 160, 160, 160, 160, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 162, 161, 162, 162, 162, 162, 162, 162, 162, 162, 162, 
## 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
## 161, 161, 161, 166, 166, 166, 166, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 166, 166, 166, 167, 167, 167, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 
## 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 166, 
## 166, 166, -2.31, -2.3, -2.25, -2.12, -2.08, -1.89, -1.66, -1.58, 
## -1.58, -1.57, -1.63, -1.65, -1.67, -1.71, -1.78, -1.84, -1.87, 
## -1.86, -2.09, -2.15, -2.26, -2.29, -2.35, -2.01, -1.88, -1.77, 
## -1.65, -1.69, -1.73, -1.63, -1.56, -1.46, -1.42, -1.43, -1.4, 
## -1.44, -1.5, -1.52, -1.55, -1.57, -1.43, -1.43, -1.67, -1.76, 
## -2.01, -2.07, -1.97, -1.78, -1.74, -1.61, -1.52, -1.45, -1.42, 
## -1.36, -1.29, -1.21, -1.27, -1.2, -1.15, -1.12, -1.1, -1.01, 
## -1.04, -1.06, -1.07, -1.12, -1.19, -1.25, -1.23, -1.17, -1.21, 
## -1.23, -1.29, -1.39, -1.4, -1.37, -1.43, -1.46, -1.53, -1.51, 
## -1.57, -1.61, -1.61, -1.62, -1.6, -1.65, -1.65, -1.67, -1.5, 
## -1.49, -1.38, -1.4, -1.37, -1.31, -1.27, -1.33, -1.31, -1.25, 
## -1.26, -1.27, -1.12, -1.02, -0.75, -0.62, -0.26, -0.18, -0.16, 
## -0.39, -0.54, -0.61, -0.64, -0.71, -0.68, -0.44, -0.15, -0.14, 
## -0.13, -0.07, -0.04, -0.02, 0.04, 0.09, 0.1, 0.31, 0.38, 0.65, 
## 0.7, 0.74, 0.78, 0.8, 0.63, 0.61, 0.64, 0.61, 0.58, 0.42, 0.4, 
## 0.41, 0.54, 0.52, 0.65, 0.79, 0.85, 0.85, 1.06, 1.05, 1.14, 1.36, 
## 1.35, 1.39, 1.43, 1.54, 1.62, 1.66, 1.69, 1.54, 1.57, 1.5, 1.46, 
## 1.47, 1.56, 1.61, 1.63, 1.7, 1.72, 1.8, 1.92, 1.99, 2.09, 2.15, 
## 2.14, 2.01, 1.98, 1.95, 1.9, 1.85, 1.73, 1.85, 1.97, 2.03, 2.08, 
## 2.14, 2.27, 2.4, 2.47, 2.7, 2.55, 2.54, 2.65, 2.31, 2.84, 2.9, 
## 3.06, 3.13, 3.14, 3.21, 3.2, 3.19, 3.14, 3.21, 3.2, 3.23, 3.26, 
## 3.23, 3.23, 3.26, 3.21, 3.05, 2.95, 2.88, 2.45, 2.42, 2.37, 2.74, 
## 2.5, 2.47, 2.4, 2.4, 2.3, 2.13, 1.93, 1.8, 1.73, 1.38, 1.34, 
## 1.29, 1.26, 1.21, 1.28, 1.31, 1.36, 1.44, 1.48, 1.49, 1.49, 1.44, 
## 1.44, 1.51, 1.72, 1.84, 1.84, 1.83, 1.77, 1.76, 1.74, 1.74, 1.88, 
## 2.18, 2.25, 2.22, 2.14, 2.14, 2.13, 2.04, 1.61, 1.45, 1.42, 1.27, 
## 1.23, 1.14, 1.19, 1.2, 1.32, 1.48, 1.57, 1.79, 1.89, 2.01, 2.01, 
## 2.1, 2.15, 2.16, 2.12, 2.27, 2.37, 2.35, 2.35, 2.48, 2.52, 2.5, 
## 2.39, 2.37, 2.36, 2.58, 2.72, 2.86, 2.92, 2.95, 3.13, 3.07, 3.02, 
## 2.98, 2.85, 2.81, 2.82, 2.79, 2.75, 2.79, 2.93, 3.02, 3.03, 3.03, 
## 3.03, 3.02, 2.99, 3.07, 3.13, 3.21, 3.25, 3.35, 3.63, 3.79, 3.86, 
## 3.64, 3.6, 3.45, 3.22, 3.19, 3.15, 3.31, 3.28, 3.28, 3.33, 3.32, 
## 3.41, 3.6, 3.6, 3.53, 3.49, 3.44, 3.4, 3.35, 3.27, 3.27, 3.46, 
## 3.42, 3.47, 3.33, 3.29, 3.26, 3.18, 3.18, 3.19, 3.11, 2.95, 2.83, 
## 2.73, 2.57, 2.39, 2.35, 3.21, 3.19, 3.12, 3.06, 3.05, 2.94, 2.91, 
## 2.94, 2.93, 3.05, 3.08, 3.22, 3.24, 3.34, 3.64, 3.73, 3.8, 3.79, 
## 3.66, 3.41, 3.33, 3.22, 3.16, 3.43, 3.47, 3.45, 3.43, 3.29, 3.29, 
## 3.34, 3.33, 3.23, 3.11, 3, 2.48, 2.38, 2.34, 2.17, 2.19, 2.17, 
## 2.26, 2.35, 2.4, 2.66, 2.79, 3.16, 3.16, 3.27, 3.36, 3.69, 3.83, 
## 3.91, 3.97, 4.02, 4.05, 4.04, 4.07, 4.34, 4.19, 4.03, 3.85, 3.68, 
## 3.5, 3.23, 3.26, 3.05, 3.05, 3.01, 3.02, 3.18, 3.24, 3.35, 3.41, 
## 3.46, 3.48, 3.7, 3.75, 3.75, 4.08, 2.99, 2.92, 2.88, 2.61, 2.43, 
## 2.37, 2.32, 2.24, 2.2, 2.24, 2.28, 2.28, 2.49, 2.52, 2.49, 2.51, 
## 2.53, 2.56, 3.21, 2.43, 2.6, 2.76, 2.94, 3.2, 3.32, 3.35, 3.34, 
## 3.22, 3.21, 3.21, 3.2, 3.19, 3.18, 3.34, 3.4, 3.4, 3.39, 3.32, 
## 3.39, 3.33, 3.3, 3.31, 3.3, 2.25, 2.13, 2.14, 2.18, 2.44, 2.68, 
## 2.88, 2.92, 2.97, 3.04, 3.01, 2.95, 2.89, 2.87, 2.83, 2.77, 2.74, 
## 2.76, 2.89, 2.95, 2.97, 2.94, 2.96, 2.98, 3.23, 3.15, 3.13, 3.05, 
## 3.08, 3.06, 3.06, 3.04, 3.03, 2.95, 2.69, 2.48, 2.43, 2.27, 2.08, 
## 2.27, 2.28, -1.69, -1.66, -1.7, -1.74, -1.69, -1.64, -1.62, -1.48, 
## -1.48, -1.53, -1.52, -1.55, -1.58, -1.64, -1.75, -1.75, -1.72, 
## -1.7, -1.73, -1.78, -1.91, -1.9, -1.86, -1.9, -2.06, -2.03, -88.1, 
## -88, -88, -87.9, -87.9, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.9, -87.9, -87.9, -87.9, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -88, -88, -88, -88.1, -88, -88.1, -88.1, -88.1, -88.1, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.3, -88.4, -88.3, 
## -88.3, -88.3, -88, -88, -88, -88.1, -88.1, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88, -88, -88, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88, -88, -88, -88, -88, -87.9, 
## -87.9, -87.9, -87.8, -87.8, -87.7, -87.7, -87.7, -87.8, -87.8, 
## -88.3, -88.2, -88.2, -88.2, -88.1, -88, -88, -88, -87.9, -87.9, 
## -87.9, -88, -88, -88, -88.1, -88.1, -88.1, -88, -88, -88, -88, 
## -88, -88, -88, -88.1, -88.1, -88.2, -88.2, -88.1, -88.1, -88, 
## -88, -88, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, -88, -88, 
## -88.1, -88.1, -88.2, -88.2, -88.3, -88.3, -88.3, -88.4, -88.4, 
## -88.4, -88.4, -88.5, -88.5, -88.6, -6.59, -6.46, -6.51, -6.5, 
## -6.32, -6.02, -5.97, -6.09, -6.12, -6.02, -5.75, -5.48, -5.42, 
## -5.46, -5.34, -5.32, -5.31, -5.28, -5.25, -5.16, -5.14, -5.46, 
## -5.4, -5.3, -5.15, -5.17, -5.29, -5.35, -5.31, -5.21, -4.94, 
## -4.92, -4.97, -4.72, -4.71, -4.74, -4.78, -4.77, -4.81, -4.9, 
## -4.98, -5.06, -5.25, -5.67, -5.73, -5.76, -6.01, -6.33, -6.43, 
## -6.6, -6.64, -6.66, -3.08, -3.09, -3.06, -3.07, -3.21, -3.27, 
## -3.38, -3.5, -3.56, -3.46, -3.38, -3.35, -3.27, -3.14, -3.01, 
## -3.02, -3.07, -3.07, -3.09, -3.06, -3.03, -2.99, -2.88, -3.65, 
## -3.66, -3.67, -3.58, -3.41, -3.36, -3.38, -3.36, -3.34, -3.32, 
## -3.29, -3.07, -3.07, -3.03, -3.05, -2.98, -2.97, -2.68, -2.55, 
## -2.44, -2.53, -2.69, -4.46, -4.45, -4.32, -4.19, -4.16, -4.19, 
## -4.22, -4.21, -4.22, -4.12, -3.86, -3.72, -3.68, -3.62, -3.7, 
## -3.69, -3.5, -3.48, -3.48, -3.53, -93.2, -93.3, -93.4, -93.4, 
## -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, 
## -93.4, -93.4, -93.4, -93.5, -93.5, -93.5, -93.5, -93.5, -93.5, 
## -93.5, -93.6, -93.6, -93.6, -93.5, -93.5, -93.5, -93.5, -93, 
## -93, -93, -93, -93.1, -93.1, -93.1, -93, -93, -93, -93, -93, 
## -93, -93, -93, -93, -93, -93, -92.9, -92.9, -92.8, -92.8, -93.4, 
## -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.2, 
## -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, 
## -93.2, -93.2, -93.1, -93.2, -93.1, -93.1, -93.2, -93.2, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, 
## -93.4, -93.3, -93.3, -93.3, -93.3, -93.3, -93.2, -93.2, -93.2, 
## -93.1, -93.1, -93.2, -93.2, -93.2, -93.2, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, 
## -93.4, -93.5, -93.5, -93.5, -93.5, -93.5, -93.6, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.7, -93.7, -93.7, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.9, -93.9, -94, -94, -94, -94, -94, -94, -93.9, 
## -93.9, -93.9, -93.8, -93.8, -93.8, -93.8, -93.7, -93.7, -93.6, 
## -93.6, -93.6, -93.5, -93.5, -93.5, -93.4, -93.4, -93.4, -5.78, 
## -5.43, -5.39, -5.24, -5.23, -5.22, -5.23, -5.29, -5.32, -5.35, 
## -5.32, -5.28, -5.25, -5.2, -5.13, -5.13, -5.2, -5.29, -5.28, 
## -5.37, -5.53, -5.65, -5.65, -5.61, -5.54, -5.52, -5.48, -5.38, 
## -5.05, -4.92, -4.8, -4.74, -4.68, -4.54, -4.59, -4.66, -4.68, 
## -4.71, -4.85, -5, -5.03, -5.04, -5.01, -4.94, -4.87, -4.68, -4.44, 
## -4.24, -4.25, -4.19, -4.18, -4.18, -4.33, -4.42, -4.99, -5.21, 
## -5.18, -5.13, -7.18, -6.98, -6.9, -6.63, -6.43, -6.18, -6.14, 
## -6.11, -6.06, -6.08, -6.23, -6.33, -6.39, -6.42, -6.46, -6.53, 
## -6.47, -6.48, -6.3, -6.3, -6.32, -6.31, -6.26, -6.17, -6.16, 
## -5.77, -5.74, -5.69, -5.64, -5.63, -5.66, -5.85, -5.94, -6.02, 
## -6.26, -6.48, -6.61, -6.87, -7.03, -7.41, -7.45, -7.4, -7.39, 
## -7.2, -6.99, -6.82, -6.65, -6.5, -6.48, -6.47, -6.49, -6.52, 
## -6.57, -6.59, -6.75, -6.86, -6.92, -6.79, -6.72, -6.56, -6.41, 
## -6.29, -6.2, -5.88, -5.86, -5.85, -5.83, -5.78, -5.77, -5.67, 
## -5.68, -5.57, -5.54, -5.56, -5.57, -6.24, -6.23, -6.28, -6.47, 
## -6.55, -6.63, -6.7, -6.73, -6.76, -6.7, -6.76, -6.74, -6.69, 
## -6.65, -6.64, -6.52, -6.47, -6.39, -6.33, -6.32, -6.3, -6.3, 
## -6.29, -6.29, -6.24, -6.21, -6.13, -6.06, -6.02, -6, -6.09, -6.16, 
## -6.17, -6.34, -6.43, -6.54, -6.58, -6.79, -7.18, -7.16, -7, -6.72, 
## -6.63, -6.39, -6.3, -6.05, -5.98, -6, -6.16, -6.69, -6.74, -6.76, 
## -6.76, -6.7, -6.52, -5.58, -5.47, -5.33, -5.22, -5.02, -5.02, 
## -5.07, -5.11, -5.16, -5.2, -5.28, -5.32, -5.35, -5.38, -5.36, 
## -5.37, -5.5, -5.56, -4.18, -4.16, -4.19, -4.21, -4.23, -4.26, 
## -4.26, -4.25, -4.24, -4.27, -4.27, -4.23, -4.19, -4.21, -4.13, 
## -4.05, -4.04, -4.03, -4.01, -4.01, -4.06, -4.28, -4.33, -4.42, 
## -4.79, -4.95, -5.01, -5.05, -5.14, -5.23, -5.18, -5.12, -4.93, 
## -4.78, -4.73, -4.67, -4.64, -4.61, -4.6, -4.6, -4.51, -4.47, 
## -4.49, -4.65, -4.74, -4.86, -4.89, -4.99, -5.07, -5.08, -5.29, 
## -5.33, -5.33, -5.29, -5.27, -5.2, -5.1, -5.11, -5.04, -5.04, 
## -6.6, -6.55, -6.5, -6.45, -6.28, -6.25, -6.21, -6.18, -6.33, 
## -6.41, -6.55, -7.11, -7.25, -7.29, -7.31, -7.35, -7.3, -7.05, 
## -7.03, -6.96, -6.93, -6.84, -6.75, -6.7, -6.62, -6.26, -6.19, 
## -6.19, -6.17, -6.21, -6.23, -6.38, -6.49, -6.67, -6.79, -6.88, 
## -6.95, -6.99, -7.05, -7, -6.9, -6.61, -6.38, -6.25, -6.03, -5.94, 
## -5.78, -5.64, -5.53, -5.4, -5.29, -5.27, -5.33, -5.4, -5.71, 
## -5.99, -6.2, -6.17, -6.05, -5.94, -5.85, -5.76, -5.6, -5.5, -5.23, 
## -5.1, -5, -4.71, -4.81, -4.86, -4.84, -4.88, -4.99, -5.06, -5.11, 
## -5.19, -5.2, -5.23, -5.28, -5.43, -5.49, -5.78, -5.57, -4.71, 
## -4.27, -4.35, -4.42, -4.53, -4.79, -5.09, -5.26, -5.47, -5.49, 
## -5.39, -5.23, -5.11, -5.09, -5.05, -5.05, -5.03, -5.03, -5.02, 
## -4.83, -4.77, -4.71, -4.66, -4.6, -4.78, -4.86, -5.01, -5.11, 
## -5.39, -5.4, -5.25, -5.04, -3.62, -2.17, -2.07, -2.08, -1.92, 
## -1.89, -1.85, -1.83, -1.7, -1.72, -1.75, -1.71, -1.75, -1.77, 
## -1.77, -1.78, -1.83, -2.1, -2.08, -2.05, -1.86, -1.9, -2, -1.89, 
## -1.82, -1.92, -1.78, -1.77, -1.77, -1.73, -1.91, -1.94, -1.93, 
## -2.15, -2.2, -2.23, -2.31, -2.34, -2.37, -2.36, -2.36, -2.3, 
## -2.25, -2.41, -2.42, -2.37, -2.34, -2.3, -2.24, -2.15, -2.15, 
## -2.11, -2.08, -2.04, -2.07, -2.09, -1.95, -1.96, -2.13, -2.38, 
## -2.4, -2.41, -2.34, -2.35, -2.4, -2.4, -2.43, -2.48, -2.49, -2.52, 
## -2.45, -2.5, -2.46, -2.51, -2.55, -2.54, -2.54, -2.59, -2.64, 
## -2.67, -2.69, -2.57, -2.53, -2.49, -2.35, -2.11, -2.17, -2.38, 
## -2.49, -2.54, -2.57, -2.57, -2.65, -2.63, -2.61, -2.57, -2.58, 
## -2.65, -2.67, -2.72, -2.73, -2.81, -2.78, -2.68, -2.6, -2.6, 
## -2.55, -2.59, -0.74, -0.86, -0.9, -0.91, -0.95, -1.01, -1.09, 
## -1.19, -1.17, -1.18, -1.21, -1.23, -1.12, -1.05, -0.91, -0.52, 
## -0.29, -0.23, -0.13, -0.13, -0.12, -0.13, -0.12, -0.18, -0.29, 
## -0.25, -0.36, -0.63, -0.75, -0.73, -0.79, -0.85, -0.92, -0.86, 
## -0.86, -0.87, -0.59, -0.53, -0.13, -0.02, -0.04, -0.24, -0.29, 
## -0.27, -0.26, -0.26, -0.22, -0.24, -0.17, -0.02, 0.1, 0.45, 0.59, 
## 0.8, 0.8, 0.8, 0.71, 0.69, 0.49, 0.61, 0.66, 0.72, 0.75, 0.75, 
## 0.79, 0.78, 0.72, 0.65, 0.44, 0.43, 0.35, 0.39, 0.4, 0.58, 0.63, 
## 0.7, 0.81, 0.87, 0.79, 0.7, 0.59, 0.57, 0.54, 0.45, 0.43, 0.39, 
## 0.36, 0.41, 0.36, 0.42, 0.32, 0.28, 0.25, 0.32, 0.43, 0.57, 0.81, 
## 0.93, 1.05, 1.03, 0.99, 0.82, 0.74, 0.69, 0.66, 0.64, 0.69, 0.77, 
## 0.73, 0.89, 0.99, 1.02, 1.07, 1.07, 0.99, 0.69, 0.38, 0.31, 0.16, 
## 0.16, 0.13, 0.16, 0.19, 0.13, 0.12, 0.11, 0.24, 0.28, 0.12, 0.04, 
## -0.11, -0.31, -0.4, -0.49, -0.52, -0.43, -0.24, -0.26, -0.42, 
## -0.52, -0.67, -0.72, -0.74, -0.74, -0.81, -0.89, -0.91, -0.9, 
## -1.02, -1.15, -1.22, -1.2, -1.21, -1.18, -1.13, -0.98, -0.86, 
## -0.79, -0.73, -0.54, -0.62, -1.46, -1.53, -1.69, -2.12, -2.2, 
## -2.24, -2.33, -2.32, -2.29, -2.23, -2.29, -2.32, -2.4, -2.37, 
## -2.39, -2.23, -2.07, -1.93, -1.82, -0.52, 1.25, 1.75, 1.93, 2.29, 
## 2.45, 2.93, 2.91, 3.02, 3.04, 3.05, 3, 2.53, 2.44, 2.23, -87.1, 
## -87.2, -87.2, -87.2, -87.3, -87.5, -87.6, -87.8, -87.9, -88.4, 
## -88.5, -88.6, -88.4, -88.1, -87.7, -87.2, -86.4, -85.9, -84.9, 
## -84.2, -83.7, -83.5, -83.4, -83, -82.8, -82.8, -82.8, -82.8, 
## -82.9, -82.9, -82.9, -83.2, -83.4, -83.8, -84.1, -84.8, -85.1, 
## -85.3, -86, -86.3, -86.5, -87.2, -87.5, -88, -88.3, -88.8, -89.1, 
## -89.3, -90, -90.2, -90.6, -90.6, -90.7, -90.6, -90.6, -90.5, 
## -90.4, -90.4, -90.1, -90, -89.9, -89.7, -89.6, -89.4, -89.2, 
## -88.8, -88.2, -85.9, -84.3, -83.7, -83.2, -81.4, -81, -80.9, 
## -80.8, -80.6, -80.5, -80.1, -80, -79.8, -79.7, -79.6, -79.6, 
## -79.5, -79.5, -79.6, -79.9, -80.3, -80.5, -80.7, -80.9, -81, 
## -81.3, -81.6, -81.7, -81.9, -82, -82.1, -82.3, -82.8, -83.1, 
## -83.3, -84.3, -85.1, -85.5, -80.7, -80.4, -79.9, -79.4, -79.1, 
## -78.6, -78.5, -78.4, -78.4, -78.7, -78.8, -78.9, -79.8, -80.1, 
## -81.2, -81.5, -82.2, -82.6, -82.9, -83.9, -84.2, -84.7, -85.3, 
## -86.2, -86.4, -86.5, -87, -87.2, -87.4, -87.6, -87.7, -87.7, 
## -87.7, -87.8, -87.9, -87.7, -87.7, -87.6, -87.5, -87.4, -87.2, 
## -87.1, -86.9, -86.7, -86.3, -86, -84.7, -83, -82.5, -81.9, -81.5, 
## -83.3, -82.8, -81.7, -81.2, -80.6, -80.1, -79.5, -78.3, -77.9, 
## -77.2, -76.7, -76.2, -75.9, -75.8, -75.8, -75.8, -76, -76.3, 
## -76.5, -76.7, -77.1, -77.4, -77.9, -78.1, -78.3, -78.5, -78.7, 
## -79.2, -79.4, -80.2, -80.8, -81, -81.1, -81.5, -81.8, -82, -82.4, 
## -84.4, -85.1, -86, -86.2, -86.6, -86.8, -87, -87.1, -87.2, -87.3, 
## -87.4, -87.4, -87.2, -87.1, -87, -86.9, -86.2, -86, -85.5, -85.3, 
## -83.8, -83.4, -81.1, -80.7, -80.3, -78.5, -78, -77.6, -77, -76.7, 
## -75.9, -75.9, -75.8, -75.8, -75.7, -75.7, -75.8, -75.8, -76.4, 
## -76.8, -77, -77.4, -77.9, -78.1, -78.4, -79.2, -79.5, -79.7, 
## -80.1, -81.1, -81.5, -81.8, -82.3, -82.7, -83, -83.3, -84.1, 
## -85, -85.8, -85.9, -86.2, -86.4, -86.4, -86.5, -86.5, -86.5, 
## -86.4, -86.3, -86.2, -86.1, -86, -85.5, -85.3, -85.2, -85, -84.5, 
## -84.3, -83.7, -82.9, -82.6, -81.9, -81.3, -81, -80.5, -80.2, 
## -79.4, -79.2, -78.5, -78.8, -78.8, -79.2, -79.4, -79.5, -79.7, 
## -80.4, -80.8, -81.3, -82.2, -82.8, -84.4, -84.7, -84.9, -85.2, 
## -85.8, -86.4, -86.6, -87.2, -88.2, -88.3, -88.7, -88.9, -89, 
## -89, -89, -89, -88.9, -88.2, -88, -87.6, -87.4, -87.1, -86.9, 
## -86.5, -86.2, -85.7, -85.2, -84.9, -84.6, -84.4, -84, -83.4, 
## -83.1, -82.8, -81.5, -81.4, -81.1, -80.4, -80.4, -80.3, -80.3, 
## -80.3, -80.4, -80.6, -80.7, -80.8, -81.3, -81.8, -82, -82.6, 
## -83, -83.3, -83.5, -83.8, -84.2, -84.5, -84.9, -85.1, -85.4, 
## -85.6, -85.8, -86.9, -87.2, -87.7, -87.9, -88.5, -88.6, -88.7, 
## -88.9, -89, -89, -89.1, -89.2, -89.2, -89.1, -88.8, -88.7, -88.4, 
## -88.3, -88.2, -87.5, -87.3, -87.2, -86.5, -86.2, -85.9, -85.3, 
## -84.7, -84.3, -83.9, -83.5, -82.7, -81.8, -81.6, -81.3, -81.1, 
## -80.4, -80.3, -80.2, -80.3, -80.3, -80.3, -80.3, -80.4, -80.6, 
## -80.9, -81.1, -81.2, -81.4, -83, -83.2, -83.5, -83.7, -84, -84.2, 
## -84.4, -84.6, -85.2, -85.4, -85.6, -85.8, -86, -86.3, -86.4, 
## -86.5, -86.6, -86.6, -86.6, -86.6, -86.7, -86.7, -86.9, -87, 
## -87, -87.1, -87.2, -87.2, -87.3, -87.4, -87.5, -87.5, -87.7, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.1, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.1, -88.1, -88.1, -88, -87.8, -87.8, -87.7, 
## -87.6, -87.6, -93.5, -93.6, -93.6, -93.6, -93.6, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.5, -93.6, -93.6, -93.6, -93.6, -93.6, 
## -93.6, -93.6, -93.7, -93.7, -93.7, -93.7, -93.6, -93.6, -93.5, 
## -93.5, -93.5, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, 
## -93.5, -93.5, -93.5, -93.5, -93.6, -93.6, -93.6, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.6, -93.6, -93.5, -93.5, -93.5, 
## -93.5, -93.5, -93.5, -93.5, -93.6, -93.6, -93.6, -93.6, -93.6, 
## -93.6, -93.6, -93.7, -93.7, -93.7, -93.7, -93.7, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.5, -93.5, -93.5, -93.5, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, -93.8, -93.8, 
## -93.7, -93.7, -93.8, -93.8, -93.7, -93.7, -93.7, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.7, 
## -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.7, -93.7, 
## -93.8, -93.8, -93.8, -93.9, -93.9, -93.9, -93.9, -93.9, -93.8, 
## -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.9, -93.8, 
## -93.8, -93.8, -93.8, -93.9, -93.9, -93.9, -93.9, -94, -94, -93.9, 
## -94, -93.9, -93.9, -93.9, -93.8, -93.7, -93.7, -93.7, -93.6, 
## -93.7, -93.7, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, -93.8, 
## -93.8, -93.8, -93.8, -93.7, -93.7, -93.7, -93.7, -93.6, -93.6, 
## -93.5, -93.5, -93.5, -93.5, -93.5, -93.5, -93.5, -93.6, -93.6, 
## -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, -93.4, 
## -93.4, -93.4, -93.4, -93.4, -93.4, -93.5, -93.5, -93.5, -93.5, 
## -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, 
## -93.6, -93.7, -93.6, -93.6, -93.5, -93.5, -93.5, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.5, 
## -93.5, -93.4, -93.4, -93.5, -93.5, -93.5, -93.5, -93.6, -93.6, 
## -93.6, -93.5, -93.6, -93.6, -93.6, -93.6, -93.6, -93.5, -93.5, 
## -93.5, -93.4, -93.4, -93.4, -93.2, -93.3, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.4, -93.4, -93.4, -93.4, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.7, -87.6, -87.6, -87.6, 
## -87.5, -87.5, -87.5, -87.4, -87.4, -87.3, -87.3, -87.3, -87.3, 
## -87.3, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, 
## -87.6, -87.6, -87.6, -87.6, -87.3, -87.2, -87.2, -87.3, -87.3, 
## -87.3, -87.3, -87.4, -87.4, -87.4, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.5, -87.5, -87.4, -87.4, -87.4, -87.4, -87.4, 
## -87.5, -87.5, -87.5, -87.5, -87.4, -87.5, -87.4, -87.4, -87.4, 
## -87.4, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.2, -87.2, 
## -87.2, -87.2, -87.2, -87.2, -87.2, -87.1, -87.1, -87.1, -87.1, 
## -87.2, -87.2, -87.2, -87.2, -87.3, -87.3, -87.3, -87.3, -87.3, 
## -87.2, -87.2, -87.1, -87.1, -87.1, -87.1, -87.1, -87.3, -87.3, 
## -87.3, -87.3, -87.4, -87.4, -87.5, -87.4, -87.3, -87.3, -87.3, 
## -87.3, -87.3, -87.3, -87.3, -87.3, -87.3, -87.3, -87.3, -87.3, 
## -87.4, -87.4, -87.4, -87.4, -87.3, -87.4, -87.4, -87.4, -87.4, 
## -87.4, -87.4, -87.4, -87.4, -87.5, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, -87.4, -87.4, -87.4, 
## -87.4, -87.4, -87.5, -87.4, -87.4, -87.4, -87.4, -87.4, -87.5, 
## -87.5, -87.5, -87.5, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, 
## -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.6, -87.6, -87.6, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, -87.6, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.7, -87.7, -87.7, -87.7, -87.7, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.7, 
## -87.7, -87.7, -87.6, -87.5, -87.4, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.7, -87.7, -87.7, -87.7, 
## -87.7, -87.7, -87.7, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.9, -88, -88.1, -88.2, -88.3, -88.4, -88.4, -88.5, 
## -88.5, -88.3, -88.4, -88.4, -88.4, -88.4, -88.5, -88.4, -88.4, 
## -88.3, -88.3, -88.3, -88.3, -88.3, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.5, -88.5, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.4, -88.3, -88.3, -88.3, -88.3, -88.2, -88.2, -88.2, -88.2, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.3, 
## -88.3, -88.3, -88.3, -88.3, -88.4, -88.6, -88.7, -88.7, -88.7, 
## -88.8, -88.8, -88.8, -88.8, -88.8, -88.9, -88.8, -88.8, -88.8, 
## -88.7, -88.7, -88.6, -88.5, -88.2, -88.1, -87.9, -87.8, -87.6, 
## -87.8, -87.9, -88, -88.1, -88.1, -88.2, -88.3, -88.4, -88.5, 
## -88.7, -88.8, -88.6, -88.6, -88.8, -88.9, -88.9, -89, -88.9, 
## -88.9, -88.9, -88.9, -89, -89.1, -89, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.8, -88.8, -88.8, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 164, 164, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 164, 164, 164, 164, 164, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 165, 165, 
## 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 165, 165, 
## 165, 165, 165, 166, 165, 165, 165, 165, 165, 165, 165, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 165, 165, 165, 165, 165, 165, 166, 166, 
## 166, 166, 166, 166, 166, 165, 165, 165, 165, 164, 163, 162, 162, 
## 162, 163, 163, 164, 164, 164, 165, 166, 167, 168, 168, 169, 169, 
## 169, 169, 169, 169, 169, 169, 170, 170, 170, 170, 170, 171, 171, 
## 172, 172, 172, 172, 171, 171, 171, 171, 170, 170, 171, 171, 171, 
## 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 173, 173, 
## 173, 173, 172, 172, 172, 172, 171, 171, 171, 166, 166, 166, 165, 
## 165, 165, 165, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
## 166, 166, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
## 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 166, 166, 166, 
## 166, 166, 165, 165, 165, 165, 165, 165, 165, 166, 166, 166, 166, 
## 166, 166, 166, 166, 166, 166, 166, 164, 165, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
## 164, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 165, 165, 
## 165, 165, 165, 165, 165, 165, 165, 165, 164, 165, 165, 165, 165, 
## 165, 4.5, 4.63, 4.71, 4.96, 4.98, 4.99, 4.73, 3.8, 3.53, 3.4, 
## 3.31, 3.25, 3.26, 3.37, 3.43, 3.47, 3.55, 3.81, 4.29, 4.31, 4.29, 
## 4.27, 4.19, 3.97, 3.88, 3.66, 3.61, 3.78, 4.24, 4.42, 4.47, 4.52, 
## 4.59, 4.49, 4.29, 4.14, 4.05, 3.9, 3.74, 3.52, 3.35, 2.97, 2.57, 
## 2.34, 2.22, 2.1, 1.96, 1.73, 1.7, 1.45, 1.34, 1.33, 0.75, 0.62, 
## -0.27, -0.26, -0.34, -0.52, -0.67, -0.34, 0.12, 0.23, 0.3, 0.31, 
## 0.37, 0.38, 0.33, 0.34, 0.31, 0.27, 0.15, 0.12, 0, -0.03, -0.04, 
## -0.27, -0.37, -0.33, -0.34, -0.28, -0.31, -0.28, -0.25, -0.25, 
## -0.24, -0.11, 0.12, 0.2, 0.24, 0.46, 0.54, 0.39, 0.28, 0.24, 
## 0.17, 0.09, 0, -0.11, -0.22, -0.27, -0.36, -0.38, -0.44, -0.43, 
## -0.33, -0.36, -0.33, -0.08, -0.02, 0.06, 0.15, 0.21, 0.29, 0.41, 
## 0.38, 0.34, -0.02, -0.17, -0.24, -0.35, -0.45, -0.57, -0.62, 
## -0.68, -0.76, -0.84, -0.9, -1.1, -1.08, -1.26, -1.34, -1.45, 
## -1.49, -1.49, -1.46, -1.51, -1.56, -1.55, -1.55, -1.47, -1.36, 
## -1.39, -1.23, -1.13, -1.04, -0.94, -0.89, -0.89, -0.78, -0.83, 
## -0.87, -0.92, -1.01, -1.03, -1.86, -1.77, -1.71, -1.7, -1.65, 
## -1.71, -1.8, -1.92, -1.94, -1.89, -1.91, -1.91, -1.98, -1.94, 
## -2, -2.05, -2.2, -2.29, -2.45, -2.46, -2.48, -2.54, -2.55, -2.35, 
## -2.38, -2.27, -2.12, -2.12, -2.15, -2.15, -0.63, -0.69, -0.65, 
## -0.68, -0.69, -0.77, -0.75, -0.87, -0.9, -0.98, -0.66, -0.56, 
## -0.33, -0.25, -0.6, -0.64, -0.68, -0.66, -1.8, -1.84, -1.93, 
## -1.96, -1.99, -2.01, -1.98, -1.98, -1.95, -1.9, -1.78, -1.67, 
## -1.58, -1.54, -1.38, -1.29, -1.27, -1.26, -1.24, -1.06, -1.03, 
## -1.02, -1.05, -1.07, -1.07, -1.03, -0.97, -0.96, -0.92, -0.86, 
## -0.75, -0.72, -2.54, -2.51, -2.44, -2.27, -2.15, -2.06, -2.01, 
## -1.98, -1.86, -1.84, -1.76, -1.7, -1.76, -1.77, -1.77, -1.84, 
## -1.96, -1.93, -1.77, -1.69, -1.61, -1.49, -1.41, -1.31, -1.16, 
## -1.2, -1.26, -1.2, -1.19, -1.29, -1.24, -1.26, -1.26, -1.32, 
## -1.44, -1.51, -1.57, -1.62, -1.74, -1.87, -1.88, -2.11, -2.09, 
## -1.06, -1.31, -1.42, -1.45, -1.41, -1.45, -1.47, -1.61, -1.89, 
## -2, -2.02, -2.22, -2.27, -2.09, -1.94, -1.88, -1.87, -1.81, -1.82, 
## -0.43, -0.89, -0.95, -1.01, -1.09, -1.06, -1.07, -1.06, -1.12, 
## -0.85, -0.76, -0.66, -0.63, -0.66, -0.65, -0.57, -0.57, -0.55, 
## -0.42, -0.45, -0.46, -0.51, 3.58, 3.51, 3.55, 3.5, 3.53, 3.53, 
## 3.57, 3.49, 3.22, 3.1, 2.94, 2.56, 2.5, 2.42, 2.1, 1.76, 1.65, 
## 1.57, 1.44, 1.48, 1.56, 1.7, -88.8, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.9, -89, -89, -89, -88.9, -88.9, -88.9, -88.9, -88.9, 
## -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, -88.9, 
## -88.8, -87.4, -87.4, -87.4, -87.4, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.6, -87.5, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.1, -87.1, -87.1, -87.1, -87.1, 
## -87.1, -87.1, -87.1, -87.1, -87.1, -87.1, -87.1, -87.1, -87.2, 
## -87.2, -87.2, -87.2, -87.2, -87.2, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.5, -87.5, -87.5, -87.4, -87.3, -87.3, -87.3, 
## -87.3, -87.2, -87.2, -87.2, -87.2, -87.2, -87.1, -87.1, -87.1, 
## -87.2, -87.2, -87.2, -87.2, -87.2, -87.2, -82.1, -82.9, -83.1, 
## -83.3, -85.7, -86, -86.2, -86.3, -87, -87.1, -87.1, -87.1, -87.1, 
## -87, -86.3, -86.1, -85.7, -85.2, -84.2, -81, -80.6, -80.2, -77.3, 
## -76.8, -76.5, -76.4, -76.4, -76.4, -76.4, -76.4, -76.5, -76.6, 
## -77.2, -77.7, -77.9, -78.2, -78.6, -79.2, -79.4, -79.7, -80.3, 
## -80.6, -80.8, -81.4, -81.6, -84, -84.5, -85.1, -85.7, -86, -86.3, 
## -86.5, -86.9, -87, -87.4, -87.5, -87.6, -87.7, -87.7, -87.6, 
## -87.6, -87.6, -87.5, -87.4, -87, -86.9, -86.8, -86.3, -86, -85.6, 
## -85.2, -84.9, -84, -83.6, -83.1, -82.7, -81, -78.3, -78.1, -77.9, 
## -77.9, -77.9, -78, -78, -78.1, -78.1, -78.3, -78.5, -78.6, -78.8, 
## -79, -79.2, -79.4, -79.6, -80.3, -81.4, -81.7, -82, -82.8, -83, 
## -83.6, -83.8, -86.2, -86.4, -86.8, -86.9, -86.9, -86.9, -86.8, 
## -86.8, -86.6, -86.5, -86.4, -86, -85.3, -85.1, -84.9, -84.6, 
## -83.8, -83.5, -82, -81.6, -80.9, -79.9, -79.6, -79.3, -79.1, 
## -78.9, -5.01, -5, -5.02, -5.03, -5.03, -5.08, -5.09, -5.1, -5.12, 
## -5.12, -5.17, -5.19, -5.33, -5.73, -5.86, -6.03, -6.41, -6.57, 
## -6.65, -6.72, -6.77, -6.94, -6.87, -6.74, -6.7, -6.69, -5.67, 
## -5.7, -5.92, -6.36, -6.38, -5.96, -5.83, -5.76, -5.22, -5.11, 
## -4.94, -4.81, -4.74, -4.85, -4.9, -4.9, -4.93, -4.87, -4.84, 
## -4.8, -4.8, -4.79, -4.73, -5.58, -5.69, -5.79, -5.87, -5.89, 
## -5.97, -6.25, -6.29, -6.33, -6.22, -6.1, -6.1, -6.15, -6.17, 
## -5.1, -5.05, -4.94, -4.91, -4.93, -4.95, -5.23, -5.17, -5.15, 
## -5.16, -5.15, -5.06, -5.07, -5.04, -5.07, -5.1, -5.12, -5.19, 
## -5.43, -5.61, -5.67, -5.79, -5.94, -7.1, -93.1, -93, -93, -93.1, 
## -93.1, -93.1, -93.2, -93.2, -93.2, -93.3, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.3, -93.4, -93.4, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.3, -93.2, -93.1, -93.1, -93.5, 
## -93.5, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.6, -93.5, -93.5, -93.5, -93.6, -93.6, 
## -93.6, -93.6, -93.6, -93.6, -93.6, -82.3, -82.1, -81.9, -81.9, 
## -82.6, -82.3, -81.9, -81.8, -81.4, -80.8, -81, -82.8, -86, -86.2, 
## -86.5, -88.5, -88.9, -89.7, -90.4, -91.1, -93.1, -94.3, -94.9, 
## -95.2, -95.6, -96.1, -96.4, -96.4, -96.3, -96.2, -95.3, -94.7, 
## -94, -93.7, -93.2, -93, -92.8, -92.8, -92.5, -92.4, -92.2, -88.4, 
## -88.4, -88.4, 132, 133, 133, 134, 134, 135, 136, 136, 136, 136, 
## 136, 135, 135, 135, 135, 136, 136, 136, 137, 137, 137, 136, 136, 
## 134, 133, 133, 132, 132, 132, 132, 131, 130, 130, 130, 130, 129, 
## 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
## 129, 129, 129, 129, 130, 130, 130, 130, 130, 130, 130, 130, 130, 
## 130, 130, 130, 130, 130, 130, 129, 130, 131, 132, 132, 136, 138, 
## 140, 142, 142, 143, 143, 142, 142, 141, 140, 140, 139, 139, 139, 
## 139, 139, 140, 141, 142, 142, 143, 144, 144, 145, 145, 145, 145, 
## 145, 145, 144, 143, 142, 142, 141, 141, 141, 141, 141, 141, 141, 
## 142, 142, 144, 145, 146, 147, 148, 149, 150, 151, 156, 157, 164, 
## 166, 171, 172, 176, -179, -172, -171, -170, -168, -168, -167, 
## -167, 160, 160, 160, 159, 158, 158, 158, 157, 157, 157, 158, 
## 158, -93.3, -92.9, -92.9, -92.8, -92.6, -92.5, -92.4, -92.3, 
## -92.3, -92.3, -92.5, -92.6, -92.9, -92.9, -93.1, -93.1, -93.2, 
## -93.2, -93.2, -93.2, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.2, -93.3, -93.3, 
## -93.3, -93.3, -93.4, -93.4, -93.4, -93.5, -93.5, -93.5, -93.6, 
## -93.7, -93.7, -93.8, -93.7, -93.7, -93.7, -93.7, -93.7, -93.7, 
## -93.7, -93.8, -93.8, -93.8, -93.8, -93.8, -93.9, -93.8, -93.8, 
## -93.5, -93.4, -93.3, -93.2, -93.2, -93, -92.9, -92.9, -93, -93, 
## -93, -93.1, -93.1, -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, 
## -93.1, -93.1, -93, -92.9, -92.9, -92.8, -92.8, -92.8, -92.8, 
## -92.7, -92.7, -92.8, -92.9, -93.1, -93.3, -93.7, -93.7, -93.7, 
## -93.7, -93.7, -93.7, -93.7, -93.7, -93.6, -93.5, -93.5, -93.5, 
## -93.5, -93.5, -93.4, -93.4, -93.4, -93.3, -93.3, -93.3, -93.2, 
## -93.1, -93.1, -93, -93, -93, -93, -92.9, -92.8, -92.6, -92.5, 
## -92.4, -92.3, -92.2, -92.1, -92.1, -92, -92, -91.8, -91.8, -91.7, 
## -91.7, -91.7, -91.7, -91.8, -91.8, -91.9, -91.9, -91.9, -91.9, 
## -92.1, -92.1, -92.4, -92.5, -92.5, -92.5, -92.6, -92.7, -92.7, 
## -92.8, -92.9, -93, -93.1, -93.1, -93.1, -93.2, -93.2, -93.1, 
## -93.1, -93.1, -93, -92.9, -92.8, -92.8, -91.2, -91.2, -91.3, 
## -91.4, -91.7, -91.8, -91.9, -92, -92.1, -92.1, -92.2, -92.4, 
## -92.4, -92.4, -92.5, -92.5, -92.6, -92.5, -92.5, -92.5, -92.4, 
## -92.3, -91.9, -91.7, -91.5, -91.4, -91.3, -91.2, -90.7, -90.8, 
## -90.8, -90.9, -91, -91.2, -91.2, -91.3, -91.3, -91.4, -91.5, 
## -91.5, -91.6, -91.7, -91.7, -91.9, -91.9, -92, -92.1, -92.1, 
## -92.2, -92.2, -92.2, -92.3, -92.3, -92.4, -92.5, -92.5, -92.6, 
## -92.7, -92.6, -92.5, -92.4, -92.4, -92.3, -92.3, -92.3, -92.2, 
## -92.3, -92.3, -92.3, -92.3, -92.3, -92.3, -92.3, -92.3, -92.2, 
## -92.2, -92, -91.9, -91.8, -91.6, -91.6, -91.4, -91.4, -91.3, 
## -91.3, -91.3, -91.2, -91.2, -91.2, -92.2, -92.2, -92.2, -92.1, 
## -92.2, -92.2, -92.2, -92.2, -92.2, -92.2, -92.2, -92.2, -92.1, 
## -92, -92, -92, -92, -92, -92, -91.9, -91.9, -91.9, -91.8, -91.8, 
## -91.8, -91.7, -91.7, -91.7, -91.7, -91.6, -91.6, -91.5, -91.5, 
## -91.4, -91.4, -91.4, -91.3, -91.2, -91.2, -91, -90.9, -90.9, 
## -91, -91, -91.2, -91.2, -91.3, -91.4, -91.5, -91.6, -91.6, -92, 
## -92.4, -92.7, -92.8, -92.9, -93, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93, -92.9, -92.7, -92.6, -92.2, 
## -92, -91.8, -91.5, -91.4, -91.4, -91.4, -91.3, -91.3, -91.3, 
## -91.3, -91.2, -91.2, -91.3, -91.3, -91.3, -91.4, -91.4, -91.5, 
## -91.5, -91.5, -91.6, -91.6, -91.6, -91.7, -91.7, -91.8, -91.7, 
## -91.8, -91.9, -91.9, -93.1, -93.2, -93.2, -93.3, -93.3, -93.3, 
## -93.3, -93.3, -93.3, -93.3, -93.2, -93.1, -93, -92.9, -92.9, 
## -92.8, -92.8, -92.8, -92.7, -92.6, -92.5, -92.5, -92.5, -92.4, 
## -92.3, -92.2, -92.2, -92.1, -92, -91.9, -91.8, -91.8, -91.8, 
## -91.4, -91.3, -91.3, -91.2, -91.2, -91.3, -91.4, -91.4, -91.5, 
## -91.5, -91.6, -91.6, -91.7, -92, -92.2, -92.3, -92.6, -92.8, 
## -92.9, -92.9, -92.9, -93, -93, -93, -93, -93, -93, -93, -93, 
## -93, -92.8, -92.8, -92.8, -92.7, -92.7, -92.7, -92.7, -92.7, 
## -92.8, -92.8, -92.9, -93.1, -93.1, -93.2, -93.2, -93.2, -93.2, 
## -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, 
## -93.2, -93.2, -93.2, -93.2, -93.2, -93.3, -93.3, -93.3, -93.4, 
## -93.4, -93.4, -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, -93.2, 
## -93.2, -93.1, -93.1, -93.1, -93.1, -93.2, -93.2, -93.2, -93.1, 
## -93.2, -93.2, -93.2, -93.2, -93.2, -93.1, -93.1, -93.1, -93.1, 
## -93.1, -93.1, -93.1, -93.1, -93.1, -93.1, -3.52, -3.58, -4.51, 
## -5.12, -5.21, -5.27, -5.25, -5.16, -4.67, -4.31, -4.28, -4.31, 
## -4.36, -4.5, -4.65, -4.82, -5.07, -5.29, -5.43, -5.61, -5.64, 
## -1.45, -0.84, 2.76, 4.54, 6.27, 6.39, 6.66, 5.96, 5.79, 5.78, 
## 6.17, 6.49, 6.84, 7.15, 7.65, 7.87, 8.11, 8.66, 8.26, 8.16, 7.89, 
## 7.63, 7.39, 7.21, 7.06, 5.98, 4.06, 3.63, 3.16, 2.6, 2.46, 2.49, 
## 3.01, 4.09, 4.93, 6.01, 8.31, 8.89, 9.83, 10.3, 10.8, 11.3, 12.2, 
## 12.6, 12.8, 12.6, 12.6, 12.8, 12.8, 12.6, 12.4, 12.6, 12.7, 12.8, 
## 13, 13.5, 13.7, 13.9, 14.1, 14.2, 14.1, 13.8, 13.4, 13.3, 12.9, 
## 12.9, 12.9, 12.8, 12.7, 12.6, 12.5, 12.4, 12.3, 11.9, 11.3, 10.9, 
## 9.82, 8.23, 7.85, 7.14, 7.42, 7.76, 8.63, 9.3, 9.66, 9.97, 11.9, 
## 12.3, 13.4, 13.7, 14.2, 14.4, 14.5, 14.9, 15.2, 15.5, 15.6, 15.5, 
## 15.4, 15.4, 15.3, 15.2, 15, 15.1, 15.2, 14.6, 14.4, 14.2, 2.11, 
## 1.8, 1.68, 1.13, 0.88, 0.58, 0.2, -0.05, -0.41, -0.71, -1.26, 
## -1.56, -1.58, -1.59, -1.39, -0.94, -0.75, -0.34, 0.25, 1.05, 
## 1.71, 2.13, 2.57, 3.07, 3.56, 4.74, 8.91, 9.73, 13.6, 14.4, 15, 
## 15.7, 18.8, 20.2, 24.3, 27.5, 27.8, 28.2, 29.9, 31, 31.8, 32.8, 
## 33, 33.2, 33.1, 32.9, 33, 33.1, 33.3, 33.4, 33.8, 34.3, 35.1, 
## 35.4, 36.1, 36.4, 36.6, 36.9, 37.1, 38.6, 38.7, 38.9, 39.5, 40.8, 
## 41, 41.3, 41.8, 42.6, 42.6, 43.1, 43.2, 43.5, 43.6, 43.7, 44.1, 
## 45.1, 45.8, 46.1, 46.9, 47.3, 47.7, 48.5, 48.9, 51.7, 52, 53.3, 
## 54.4, 54.6, 54.8, 54.9, 55.1, 56.1, 56, 56, 55.9, 55.8, 55.8, 
## 55.7, 55.7, 55.6, 55.4, 55.3, 55.2, 55.1, 55, 54.8, 54.6, 54.2, 
## 54, 54, 53.9, 54, 54.2, 54.2, 54.6, 55.2, 55.3, 55.3, 55.3, 55.3, 
## 55.2, 55.1, 54.9, 54.9, 54.7, 54.6, 54.3, 54.1, 53.9, 53.8, 53.5, 
## 53.1, 53, 52.9, 52.8, 53, 53.2, 53.4, 53.6, 53.9, 53.9, 54.3, 
## 54.5, 54.7, 54.7, 54.7, 54.8, 55.3, 55.5, 55.6, 55.8, 56.1, 56.2, 
## 56.4, 56.7, 56.7, 56.8, 56.9, 56.9, 56.8, 56.7, 56.6, 56.5, 56.4, 
## 56.2, 56.1, 55.9, 55.7, 55.5, 54.8, 54.5, 54.4, 54.2, 54.1, 53.6, 
## 53.4, 53.2, 53.2, 53.2, 53.2, 52.7, 52.6, 52.5, 52.5, 52.6, 52.7, 
## 52.6, 52.6, 52.5, 52.4, 52.3, 52.3, 52.2, 52.2, 51.8, 51.7, 51.6, 
## 51.5, 51.3, 50.7, 50.4, 50.1, 49.8, 49.1, 48.8, 48.4, 47.9, 47.7, 
## 47.3, 46.5, 46.4, 46.4, 46.8, 47.3, 48.4, 48.9, 50.4, 51.4, 51.9, 
## 52.3, 53.6, 54, 55.7, 56, 56.9, 57.2, 57.5, 57.8, 58.1, 58.3, 
## 58.9, 59.2, 58.9, 58.7, 58.5, 58.3, 57.7, 57.1, 56.4, 56.1, 54.6, 
## 54.3, 53.5, 52.9, 52.7, 51.9, 51.8, 51.7, 51.7, 51.4, 51.3, 51.1, 
## 51.1, 50.9, 50.3, 49.8, 49.6, 49.1, 48.8, 48.6, 48.4, 47.9, 47, 
## 46.3, 45.6, 44, 43.4, 43.1, 42.9, 43, 43, 43.4, 43.4, 43.6, 44.6, 
## 44.8, 45.4, 45.8, 46.3, 46.6, 46.9, 47.2, 47.6, 48, 48.3, 49, 
## 49.3, 49.5, 50.3, 50.8, 51, 51.1, 51.2, 51.2, 51.2, 51.2, 51.1, 
## 51.1, 50.8, 50.7, 50.2, 49.8, 49.4, 48.8, 47.9, 46.1, 46, 44.8, 
## 44.5, 44.2, 43.4, 43.1, 42.9, 42.6, 42, 41.4, 41.1, 40.8, 40, 
## 39.2, 38.7, 37.8, 37, 36.4, 35.7, 35.5, 35.4, 35.3, 35.5, 35.8, 
## 36.7, 36.9, 37.5, 37.7, 38.1, 38.9, 39.7, 40.2, 40.7, 41.4, 41.8, 
## 42.1, 42.9, 43.2, 43.4, 43.8, 44, 44.4, 45, 45.3, 45.6, 46, 46.3, 
## 47.4, 48, 48.3, 49, 49.3, 49.6, 50.2, 50.5, 50.7, 50.9, 51.2, 
## 51.5, 51.8, 51.9, 51.9, 51.9, 51.9, 51.9, 52, 52.1, 52.2, 52.3, 
## 53.2, 53.3, 53.4, 53.5, 53.6, 54.6, 54.6, 54.5, 54.4, 54.3, 54.1, 
## 54, 54, 54.2, 54.3, 54.6, 54.8, 55, 55, 55.1, 55, 55, 55, 55.1, 
## 55, 54.9, 54.7, 54.3, 53.9, 53.4, 53.4, 53.5, 53.5, 53.6, 53.9, 
## 53.9, 53.9, 54, 54.3, 54.4, 54.6, 54.7, 55.4, 55.5, 56, 56.2, 
## 56.6, 57, 57.7, 58.2, 58.4, 58.6, 58.8, 59, 58.6, 58.5, 58.4, 
## 58.1, 57.9, 57.7, 57.6, 57.6, 57.7, 57.8, 57.8, 57.9, 58, 58.1, 
## 58, 58, 58, 57.6, 57.5, 57.4, 57, 56.7, 56.5, 56.2, 56, 55.7, 
## 55.3, 56, 56.7, 57, 57.3, 57.5, 57.8, 58.4, 58.6, 58.9, 59.4, 
## 59.7, 59.8, 60.1, 60.2, 60.2, 59.6, 59.4, 58.7, 58, 57.9, 57.9, 
## 57.9, 57.9, 57.9, 57.9, 58.1, 58.3, 58.4, 58.5, 58.6, 58.7, 58.6, 
## 58.6, 58.6, 58.6, 58.5, 58.4, 58, 57.8, 57.3, 56.9, 56.7, 56.5, 
## 56.3, 56.2, 55.7, 55.5, 53.4, 51.8, 51.5, 51.2, 51, 50.8, 50.9, 
## 50.9, 51, 51, 51.3, 51.9, 52.7, 52.9, 53.2, 53.4, 53.5, 53.8, 
## 54, 55.4, 56.1, 57.7, 58.4, 58.7, 59.1, 59.3, 59.3, 59, 58.5, 
## 57.4, 56.4, 56.2, 55.8, 55.3, 55, 54.5, 54.6, 54.7, 54.8, 54.9, 
## 55, 55.1, 55.2, 55.2, 55, 55, 55, 55, 55.1, 55.1, 54.9, 54.1, 
## 52.9, 52.8, 52.7, 52.4, 52.3, 52.2, 52.1, 52.1, 52, 52.1, 52.1, 
## 52.2, 52.3, 52.7, 52.9, 53.2, 53.8, 54.1, 54.8, 55.8, 56.2, 58.1, 
## 58.5, 58.9, 59.5, 60.2, 60.4, 60.5, 61.2, 61.4, 61.3, 61.3, 61.2, 
## 61.1, 60.9, 60.7, 59.8, 59.1, 58.5, 56.6, 56.3, 56, 55.6, 55, 
## 54.9, 54.7, 54.7, 54.7, 54.7, 54.7, 54.5, 54.4, 54.3, 54.3, 54.3, 
## 54.4, 54.5, 54.5, 54.5, 54.6, 54.2, 54.1, 54, 53.1, 52.4, 52.1, 
## 51.3, 50.4, 48.3, 48, 47.5, 47.5, 48, 48.3, 49, 49.8, 51, 51.5, 
## 52.5, 52.9, 53.3, 53.7, 54.2, 54.7, 55.4, 56, 56.4, 56.8, 58.4, 
## 58.5, 58.6, 58.5, 57.8, 57.6, 57.1, 56.8, 56.1, 55.6, 55.3, 52.2, 
## 51.8, 50.9, 50.1, 48.9, 48.5, 46.3, 45.9, 44.4, 43.7, 43.4, 43.1, 
## 42.6, 42.4, 42, 41.7, 41.6, 41.4, 41.3, 41.2, 41.2, 41.4, 41.4, 
## 41.3, 41.3, 41.3, 41.1, 40.9, 40.9, 40.7, 40.6, 40.3, 40.2, 40, 
## 39.9, 39.5, -87.5, -87.5, -87.4, -87.4, -87.3, -87.3, -87.2, 
## -87.2, -87.2, -87.1, -87.1, -87.2, -87.2, -87.1, -87, -87, -87, 
## -87, -86.9, -86.9, -86.9, -86.8, -86.7, -86.7, -86.7, -86.6, 
## -86.6, -86.6, -86.4, -86.4, -86.4, -86.4, -86.4, -86.3, -86.3, 
## -86.2, -86.2, -86.2, -86.1, -86, -86, -86, -86, -86, -86, -86, 
## -86, -86, -86.1, -86.1, -86.1, -86.1, -86.1, -86, -86, -85.9, 
## -85.8, -85.8, -85.8, -85.8, -85.8, -85.7, -85.7, -85.7, -85.7, 
## -85.7, -85.7, -85.7, -85.7, -85.7, -85.6, -85.6, -85.6, -85.6, 
## -85.6, -85.6, -85.6, -85.7, -85.7, -85.7, -85.8, -85.8, -85.8, 
## -85.9, -85.9, -85.9, -86, -86, -86.4, -86.5, -86.5, -86.5, -86.9, 
## -87, -87, -87, -87, -87, -87, -87, -87, -87, -87, -87.1, -87, 
## -87.1, -87.1, -87.1, -87.1, -87.1, -87.1, -87.1, -87.1, -87.1, 
## -87.1, -87.1, -87.1, -87.1, -87.2, -87.2, -87.2, -87.2, -87.2, 
## -87.2, -87.2, -87.3, -87.3, -87.3, -87.3, -87.4, -87.4, -87.5, 
## -87.5, -87.6, -87.7, -87.8, -87.9, -88, -88.1, -88.1, -88, -87.9, 
## -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, -88, -88.1, 
## -88.1, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.1, -88.1, -88.1, -88.1, -88, -88, -88, -88, -88, -88, -88, 
## -88, -88, -88, -88, -88.2, -88.2, -88.2, -88.3, -88.3, -88.4, 
## -88.4, -88.4, -88.4, -88.4, -88.4, -88.5, -88.4, -88.4, -88.3, 
## -88.2, -88.2, -88.2, -88.2, -88.2, -88.1, -88, -88, -88, -87.9, 
## -87.9, -87.9, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, 
## -88, -88, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.7, -87.7, -87.7, -87.7, -87.7, -87.7, -87.6, -87.6, -87.6, 
## -87.6, -87.6, -87.5, -87.4, -87.4, -87.4, -87.4, -87.4, -87.4, 
## -87.4, -87.3, -87.3, -87.2, -87.2, -87.2, -87.3, -87.4, -87.4, 
## -87.5, -87.6, -87.7, -87.7, -87.7, -87.6, -87.6, -87.6, -87.6, 
## -87.6, -87.5, -87.5, -87.4, -87.4, -87.3, -87.3, -87.3, -87.3, 
## -87.4, -87.4, -87.8, -87.8, -87.7, -87.7, -87.7, -87.7, -87.6, 
## -87.6, -87.6, -87.6, -87.6, -87.6, -87.6, -87.5, -87.5, -87.5, 
## -87.6, -87.6, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, -87.5, 
## -87.5, -87.5, -87.6, -87.6, -87.7, -87.8, -87.8, -88, -88, -88, 
## -88.1, -88.1, -88.1, -88.1, -88, -88.1, -88.1, -88.1, -88.1, 
## -88.1, -88.1, -88.1, -88.1, -88.1, -88.1, -88, -88, -88, -88, 
## -88, -88.1, -88.1, -88.1, -88, -87.9, -87.9, -87.9, -87.8, -87.7, 
## -87.7, -87.7, -87.7, -87.8, -87.8, -87.9, -88.1, -88.2, -88.2, 
## -88.3, -88.3, -88.3, -88.4, -88.5, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.5, -88.5, -88.5, -88.5, -88.4, 
## -88.3, -88.4, -88.3, -88.4, -88.4, -88.4, -88.4, -88.4, -88.4, 
## -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.5, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.7, -88.7, -88.7, -88.7, -88.7, -84.9, -85, -85.6, -85.8, 
## -86.1, -87.6, -88.5, -88.7, -88.6, -88.3, -86.9, -86.9, -87.7, 
## -87.8, -87.7, -87.5, -87.5, -87.3, -86.6, -86, -84.9, -84.2, 
## -88.8, -88.8, -88.8, -88.8, -88.8, -88.8, -88.8, -88.7, -88.7, 
## -88.7, -88.7, -88.7, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.6, -88.6, -88.1, -88.2, -88.2, -88.3, -88.2, -88, -87.9, 
## -87.6, -87.5, -87.3, -87.3, -86.3, -85.9, -83.8, -83.4, -82.7, 
## -82.5, -81.3, -80.9, -80.9, -81, -81.9, -82.1, -82.4, -82.8, 
## -83.1, -85.2, -87.6, -88, -88.4, -88.9, -89, -89, -89, -89.1, 
## -89.2, -88.9, -88.8, -88.6, -88.4, -87.9, -87.3, -87.2, -86.9, 
## -86.7, -85.2, -84.5, -82.5, -82.2, -81.9, -81.5, -81.3, -81, 
## -80.8, -80.7, -80.6, -80.7, -80.7, -80.9, -81.1, -81.4, -81.7, 
## -81.9, -82.2, -82.9, -84.7, -86.5, -86.8, -87.5, -87.7, -87.8, 
## -88, -88, -88, -88, -88, -88, -88, -87.9, -87.8, -87.7, -87.5, 
## -87.2, -86.3, -85, -84.4, -82.8, -82.3, -81.4, -81.1, -81, -80.9, 
## -80.6, -80.5, -80.4, -80.4, -80.4, -80.5, -80.8, -81.2, -81.9, 
## -82.7, -83.8, -85.4, -86.5, -86.8, -87.4, -87.6, -87.7, -87.7, 
## -87.6, -87.6, -87.5, -87.5, -87.5, -87.3, -87.2, -87, -86.9, 
## -86.7, -86.5, -86, -85.4, -83.6, -83.1, -82.2, -81.2, -81, -79.1, 
## -79, -78.9, -78.8, -79.5, -80.1, -80.9, -81.4, -81.8, -83.2, 
## -84, -84.3, -85.1, -85.3, -85.9, -85.9, -85.7, -85.5, -85.5, 
## -85.3, -85.3, -85.3, -85.3, -85.1, -85, -84.9, -84.7, -84.3, 
## -81.3, -78.3, -78.1, -77.8, -77.6, -77.4, -77.5, -77.7, -77.8, 
## -78, -78.7, -81.3, -82.5, -84.5, -84.8, -85.1, -85.3, -85.7, 
## -85.7, -85.5, -85.5, -85.4, -85.4, -85.4, -85.3, -85.4, -85.4, 
## -85.4, -85.4, -85.4, -85.4, -85.4, -85.3, -85.2, -85.1, -84.6, 
## -84.2, -83.7, -83.2, -82.4, -81.7, -80.5, -80.1, -79.3, -79, 
## -78.6, -77.1, -76.9, -76.7, -76.6, -76.6, -76.7, -76.8, -76.9, 
## -77, -77.5, -77.8, -79.2, -81.4, -81.8, -82.2, -83, -83.3, -83.7, 
## -84.6, -84.8, -85, -84.9, -84.8, -84.9, -84.9, -84.9, -84.9, 
## -84.9, -85, -84.9, -84.7, -84.6, -84.2, -83.8, -82.6, -82.2, 
## -81.3, -80.7, -79.8, -79.4, -78.7, -77.7, -77.6, -77.4, -77.4, 
## -77.5, -77.9, -78.7, -79.1, -79.4, -80.2, -81.3, -81.8, -82.4, 
## -83, -83.2, -83.6, -84.3, -84.8, -84.9, -84.9, -84.9, -84.9, 
## -84.9, -85, -84.9, -85.6, -86.1, -86.2, -86.2, -86.2, -86.2, 
## -86.2, -86.1, -85.9, -85.3, -84.8, -84.4, -84.1, -82.9, -82.6, 
## -81.9, -81.4, -81.1, -80.8, -80.4, -80.5, -80.8, -81.2, -81.5, 
## -82.4, -83.1, -84.2, -84.6, -85.8, -87.1, -87.2, -87.4, -87.4, 
## -87.5, -87.4, -87.4, -87.4, -87.4, -85.6, -86, -86.1, -86.3, 
## -86.5, -86.5, -86.5, -86.5, -86.5, -86.5, -86.5, -86.5, -86.5, 
## -86.8, -86.9, -87.6, -87.6, -87.7, -87.7, -87.7, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, -87.8, 
## -87.8, -87.8, -87.8, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -88, -88, -88.1, -88, -88.1, -88.2, -88.2, -88.2, -88.2, -88.2, 
## -88.3, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, -88.2, 
## 169, 169, 168, 168, 167, 167, 167, 166, 165, 164, 163, 163, 163, 
## 161, 160, 159, 159, 158, 158, 158, 158, 157, 157, 157, 156, 156, 
## 154, 152, 151, 151, 150, 149, 148, 146, 146, 146, 146, 145, 145, 
## 145, 145, 145, 145, 144, 144, 144, 144, 144, 144, 144, 144, 144, 
## 145, 145, 145, 146, 146, 146, 147, 147, 147, 147, 147, 148, 148, 
## 147, 147, 147, 146, 145, 145, 145, 144, 144, 144, 144, 144, 143, 
## 142, 141, 141, 141, 139, 139, 138, 137, 136, 136, 135, 134, 133, 
## 133, 132, 132, 132, 131, 131, 131, 131, 131, 131, 131, 131, 131, 
## 132, 132, 132, 132, 132, 133, 133, 133, 134, 134, 134, 135, 135, 
## 135, 135, 136, 136, 136, 136, 136, 136, 136, 136, 136, 134, 133, 
## 132, 132, 132, 132, 132, 131, 131, 131, 131, 131, 131, 130, 130, 
## 129, 129, 129, 129, 128, 127, 126, 126, 125, 125, 125, 125, 125, 
## 125, 125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 127, 127, 
## 128, 128, 128, 129, 129, 130, 130, 130, 131, 132, 132, 133, 133, 
## 133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 132, 132, 132, 
## 131, 131, 131, 131, 130, 130, 130, 130, 130, 130, 129, 129, 129, 
## 128, 128, 129, 128, 129, 129, 129, 128, 128, 127, 127, 126, 126, 
## 126, 126, 126, 127, 127, 127, 127, 128, 128, 128, 128, 128, 129, 
## 129, 129, 130, 130, 131, 131, 124, 123, 124, 124, 124, 124, 124, 
## 124, 124, 124, 124, 125, 125, 125, 126, 127, 127, 127, 127, 127, 
## 127, 128, 128, 128, 128, 128, 129, 129, 130, 131, 131, 131, 132, 
## 133, 134, 134, 134, 134, 134, 134, 134, 133, 133, 133, 132, 132, 
## 132, 132, 132, 131, 131, 130, 130, 129, 129, 129, 129, 128, 127, 
## 126, 126, 126, 126, 126, 126, 126, 126, 126, 127, 127, 127, 127, 
## 127, 127, 127, 128, 128, 128, 128, 129, 130, 131, 132, 132, 133, 
## 134, 134, 135, 135, 135, 135, 135, 134, 134, 134, 134, 133, 133, 
## 133, 131, 131, 131, 131, 131, 130, 130, 130, 130, 131, 131, 131, 
## 131, 132, 132, 132, 132, 132, 132, 132, 132, 132, 132, 133, 133, 
## 133, 133, 133, 133, 133, 134, 134, 134, 133, 133, 133, 133, 132, 
## 132, 131, 131, 131, 130, 130, 130, 129, 129, 129, 129, 129, 129, 
## 129, 129, 128, 128, 128, 128, 128, 127, 127, 127, 127, 127, 127, 
## 127, 126, 126, 126, 126, 126, 127, 127, 127, 128, 128, 128, 128, 
## 128, 128, 127, 127, 127, 127, 132, 132, 132, 131, 132, 132, 131, 
## 131, 131, 130, 130, 128, 127, 127, 125, 124, 124, 123, 123, 123, 
## 123, 123, 128, 128, 128, 129, 129, 129, 130, 130, 130, 130, 130, 
## 131, 131, 131, 132, 132, 132, 132, 136, 136, 136, 137, 138, 138, 
## 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 
## 139, 139, 139, 139, 138, 137, 136, 136, 131, 131, 131, 131, 131, 
## 132, 132, 131, 130, 130, 129, 129, 129, 128, 128, 128, 126, 126, 
## 126, 125, 14, 14.5, 14.7, 14.5, 14.3, 14, 13.7, 13.6, 13.6, 13.2, 
## 13.1, 13.1, 13.1, 13.1, 13.1, 13.1, 13.3, 13.2, 13.2, 13.2, 13.3, 
## 14, 14.9, 15.3, 15.7, 15.5, 14.9, 14.2, 13.2, 13, 12.6, 12.5, 
## 14.1, 14.9, 17.1, 17.4, 17.4, 17.1, 17, 16.7, 16.2, 14, 13.9, 
## 14, 14.2, 14.5, 14.7, 15.1, 15.3, 16, 16.4, 17.3, 17.7, 18.7, 
## 19.5, 19.9, 19.9, 19.8, 19.7, 19.7, 19.8, 19.8, 20.2, 20.4, 20.5, 
## 20.4, 20.1, 20.2, 21.2, 21.4, 21.6, 21.8, 21.8, 21.5, 21.4, 21.1, 
## 20.9, 20.7, 20.4, 20.3, 20.2, 20.1, 20.2, 20.4, 20.4, 20.3, 19.9, 
## 19.3, 19.1, 18.2, 17.6, 16.9, 16.7, 17, 17.8, 18, 18.2, 18.4, 
## 18.9, 19.2, 19.7, 20, 20.1, 20, 20, 20, 19.9, 19.3, 19.1, 18.9, 
## 18.3, 18.2, 18.1, 17.8, 17.6, 17.6, 17.7, 17.8, 18.2, 18.5, 18.8, 
## 18.7, 18.6, 18.7, 18.7, 18.7, 19, 19.3, 19.8, 19.6, 19.5, 19.3, 
## 19.1, 17.8, 17.1, 15.7, 15.8, 15.9, 16.1, 16.3, 16.7, 16.9, 17, 
## 17, 16.8, 16.6, 15.7, 14.7, 14.2, 13.7, 13.2, 12.5, 10.9, 10.3, 
## 9.67, 9.69, 10.2, 19.6, 19.8, 20, 20.5, 20.9, 21, 21.2, 21.4, 
## 22.9, 23.3, 24.1, 24.6, 24.6, 24.4, 24.2, 23.8, 22.3, 21.8, 21.2, 
## 20.6, 19.5, 19.1, 18.6, 18.2, 17.5, 17.2, 17, 16.9, 16.9, 19.9, 
## 20.3, 20.9, 21.7, 22, 22.4, 22.5, 21.8, 21.5, 21.2, 20.6, 20.3, 
## 20.1, 20.1, 20.6, 21, 21.8, 19.7, 19.2, 18.9, 18.8, 18.5, 18.5, 
## 18.4, 18.3, 18.2, 18.1, 17.8, 17.4, 17.2, 17, 16.6, 16.4, 16.3, 
## 16.2, 16, 15.5, 15.4, 15.1, 15, 15, 14.8, 14.7, 14.6, 14.5, 14.5, 
## 14.4, 14.4, 14.3, 14.3, 14.2, 14, 13.8, 13.7, 13.6, 13.6, 13.6, 
## -88.2, -88.3, -88.3, -88.4, -88.4, -88.4, -88.5, -88.5, -88.5, 
## -88.6, -88.6, -88.7, -88.7, -88.7, -88.7, -88.7, -88.7, -88.7, 
## -88.7, -88.8, -88.7, -88.7, -88.7, -88.8, -88.8, -88.8, -88.8, 
## -88.8, -88.8, -88.8, -88.8, -88.7, -88.7, -88.7, -88.7, -88.7, 
## -88.7, -88.7, -88.7, -88.7, -88.7, -88.6, -88.6, -88.5, -88.5, 
## -88.5, -88.5, -88.5, -88.5, -88.4, 55, 54.6, 54.2, 53.3, 51.8, 
## 51.2, 51, 50.6, 50.4, 50.3, 50.4, 50.5, 50.8, 51, 51.2, 51.4, 
## 51.7, 52.9, 54.5, 54.9, 55.3, -86.9, -86.9, -87, -87, -87, -87, 
## -87.1, -87.2, -87.2, -87.2, -87.2, -87.3, -87.3, -87.3, -87.3, 
## -87.3, -87.4, -87.4, -87.4, -87.5, -87.5, -87.5, -87.5, -87.6, 
## -87.6, -87.2, -87.1, -87, -86.8, -86.7, -86.4, -86.2, -85.5, 
## -83.4, -82.3, -81.4, -81.2, -81, -80.7, -80.6, -80.3, -80.2, 
## -80.1, -80.2, -80.3, -80.4, -81.1, -81.4, -81.6, -82.5, -82.8, 
## -84.8, -84.7, -84.4, -83, -82.7, -82.3, -81.4, -81.2, -81.3, 
## -81.1, -81, -80.9, -80.8, -80.5, -80.4, -80.4, -80.3, -80.3, 
## -80.4, -80.5, -81.5, -82.7, -83.4, -84.3, -85, -85.3, -88.6, 
## -88.6, -88.6, -88.5, -88.6, -88.6, -88.6, -88.6, -88.6, -88.6, 
## -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, -88.5, 
## -88.4, -88.4, -88.4, -88.4, -88.3, -88.3, -88.2, -88.2, -88.2, 
## -88.2, -88.6, -88.7, -88.7, -88.7, -88.7, -88.7, -88.7, -88.7, 
## -88.7, -88.6, -88.6, -88.4, -88.4, -88.1, -87.7, -87.6, -87.5, 
## -87.4, -87.2, -86.1, -85.8, -85.5, -87.4, -87.4, -87.4, -87.4, 
## -87.4, -87.4, -87.4, -87.5, -87.7, -87.8, -87.9, -87.9, -88.1, 
## -88.1, -88.1, -88, -87.9, -87.9, -87.9, -87.9, -87.9, -87.9, 
## -87.9, -87.8, -86.1, -86.1, -86.1, -86.2, -86.1, -86.2, -86.2, 
## -86.2, -86.3, -86.3, -86.3, -86.4, -86.4, -86.4, -86.4, -86.4, 
## -86.4, -86.4, -86.4, -86.4, -86.4, -86.4, -86.5, -86.4, -86.4, 
## -86.4, 22.7, 23.2, 23.7, 25.5, 26, 26, 25.8, 24.8, 24.6, 24.4, 
## 23.9, 23.7, 23.5, 23.4, 23.1, 22.9, 22.7, 22.5, 22.4, 22, 21.9, 
## 21.7, 21.6, 21.3, 20.9, 20.8, 20.5, 20.2, 20, 19.9, 10.7, 11.9, 
## 13.4, 13.9, 14.4, 14.9, 16.5, 16.9, 17.5, 17.7, 17.8, 18.2, 18.3, 
## 18.3, 18.2, 18.1, 18.2, 18.3, 18.3, 18.3, 18.5, 18.9, 19, 16.3, 
## 16, 16, 16.1, 16.2, 16.6, 17.3, 17.5, 18.2, 18.3, 18.4, 18.4, 
## 18, 15.7, 16.2, 16.2, 15.3, 15.2, 15.2, 15.9, 15.9, 15.6, 15.3, 
## 15.6, 16, 16.4, 16.7, 17.4, 17.7, 18.1, 18.7, 18.8, 18.6, 18.5, 
## 18.4, 18.2, 17.5, 16.3, 16, 15.7, 15.5, 15.6, 15.7, 16, 16.3, 
## 16.5, 16.8, 16.9, 13.7, 13.6, 13.8, 14, 14.1, 14.4, 14.6, 14.6, 
## 14.4, 14.1, 13.8, 13.3, 13.1, 12.9, 12.7, 12.1, 11.8, 10.9, 10.8, 
## 10.8, 11.3, 11.5, 11.7, 12.5, -92.3, -92.2, -92, -92, -91.9, 
## -91.8, -91.7, -91.6, -91.5, -91.5, -91.6, -91.7, -92, -92.5, 
## -92.7, -92.8, -92.8, -92.9, -92.9, -92.9, -92.9, -93, -93, -93, 
## -92, -92.1, -92.2, -92.4, -92.5, -92.8, -92.9, -92.9, -93, -93, 
## -93.1, -93.1, -93.1, -93.2, -93.2, -93.2, -93.2, -93, -92.9, 
## -92.7, -92.7, -92.6, -92.7, -92.7, -92.7, -92.7, -92.5, -91.1, 
## -91.2, -91.3, -91.3, -91.6, -91.6, -91.7, -91.8, -91.9, -91.9, 
## -91.9, -91.9, -91.9, -91.9, -91.9, -91.9, -92, -92.1, -92.1, 
## -92.1, -92.1, -92.7, -92.6, -92.6, -92.5, -92.5, -92.5, -92.5, 
## -92.5, -92.4, -92.3, -92, -92, -91.9, -91.8, -91.7, -91.5, -91.4, 
## -91.4, -91.3, -91.3, -91.3, -91.2, -91.1, -91.1, -91.1, -91.1, 
## -91.1, -91.1, -91.1, -171, -173, 178, 177, 173, 172, 171, 168, 
## 164, 163, 162, 161, 124, 124, 124, 124, 125, 125, 126, 127, 129, 
## 129, 130, 130, 131, 132), total_accel_belt = c(3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 21, 21, 21, 21, 21, 21, 
## 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 20, 21, 20, 21, 21, 
## 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 
## 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 
## 21, 21, 21, 21, 21, 20, 21, 21, 21, 21, 21, 20, 21, 21, 21, 21, 
## 20, 21, 21, 21, 20, 21, 21, 20, 21, 21, 20, 20, 21, 20, 21, 20, 
## 20, 21, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 20, 21, 
## 21, 21, 21, 20, 20, 21, 21, 21, 21, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 21, 21, 21, 21, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 20, 
## 20, 20, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 19, 19, 20, 19, 19, 19, 20, 19, 19, 20, 
## 20, 19, 19, 19, 19, 19, 20, 20, 19, 19, 19, 19, 19, 19, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 19, 20, 19, 19, 19, 19, 19, 19, 
## 20, 20, 20, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 19, 20, 20, 19, 20, 19, 19, 19, 19, 19, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 19, 20, 20, 19, 19, 20, 20, 19, 19, 19, 20, 19, 20, 19, 19, 
## 20, 20, 20, 20, 20, 20, 19, 20, 20, 20, 20, 20, 20, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 19, 20, 20, 20, 19, 
## 19, 19, 19, 19, 19, 19, 19, 20, 19, 19, 20, 19, 19, 19, 19, 19, 
## 19, 19, 20, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 20, 20, 
## 20, 19, 19, 19, 19, 19, 19, 19, 20, 19, 19, 19, 19, 19, 19, 19, 
## 20, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 20, 19, 19, 
## 19, 19, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 
## 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 17, 18, 18, 18, 17, 18, 
## 18, 17, 18, 18, 18, 19, 18, 17, 19, 17, 18, 18, 19, 19, 18, 19, 
## 19, 18, 18, 18, 19, 19, 19, 18, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 19, 19, 18, 19, 19, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 
## 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 19, 18, 17, 18, 20, 17, 17, 17, 17, 17, 17, 17, 
## 18, 18, 18, 18, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 18, 18, 
## 18, 18, 18, 18, 18, 17, 17, 17, 18, 18, 18, 20, 17, 17, 16, 18, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 17, 18, 18, 17, 
## 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 19, 19, 19, 18, 18, 17, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 19, 19, 
## 18, 19, 19, 19, 19, 19, 18, 19, 19, 19, 19, 19, 19, 19, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 18, 18, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 
## 18, 17, 17, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 18, 17, 17, 18, 17, 17, 17, 17, 17, 17, 18, 17, 
## 18, 18, 18, 18, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 
## 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 
## 18, 17, 17, 18, 17, 18, 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 18, 18, 17, 17, 18, 17, 17, 17, 17, 18, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 18, 17, 17, 17, 18, 17, 18, 18, 18, 17, 17, 18, 18, 18, 17, 
## 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 
## 18, 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 
## 18, 18, 17, 18, 17, 18, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 18, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 18, 17, 
## 17, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 18, 18, 17, 17, 
## 18, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 18, 18, 
## 17, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 
## 18, 18, 18, 18, 18, 17, 18, 17, 18, 18, 18, 18, 17, 18, 17, 17, 
## 17, 17, 17, 17, 18, 17, 17, 17, 17, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 
## 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 
## 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 
## 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 
## 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 
## 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 
## 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 
## 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 
## 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 
## 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 
## 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 4, 
## 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 
## 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 6, 4, 4, 4, 5, 5, 6, 6, 6, 5, 5, 
## 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 
## 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 
## 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 
## 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 
## 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 
## 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 4, 3, 
## 4, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 6, 5, 6, 6, 6, 5, 
## 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 5, 
## 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 
## 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 7, 3, 5, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 
## 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 
## 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 
## 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 
## 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 5, 
## 5, 5, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 
## 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 
## 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 
## 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 5, 4, 5, 4, 5, 
## 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 18, 17, 18, 18, 
## 17, 18, 18, 17, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 18, 18, 
## 18, 18, 18, 18, 17, 18, 17, 18, 18, 18, 18, 17, 18, 17, 17, 17, 
## 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 20, 20, 20, 19, 19, 19, 19, 
## 19, 19, 19, 20, 20, 19, 19, 19, 19, 19, 20, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 20, 19, 20, 17, 16, 16, 17, 17, 17, 19, 20, 20, 
## 20, 20, 20, 20, 19, 18, 17, 17, 17, 18, 17, 18, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 17, 17, 
## 18, 18, 18, 18, 18, 17, 18, 17, 17, 18, 18, 17, 18, 17, 18, 19, 
## 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 17, 17, 17, 
## 18, 17, 17, 17, 17, 18, 17, 18, 18, 18, 17, 17, 17, 18, 18, 17, 
## 17, 17, 17, 18, 16, 17, 17, 17, 17, 17, 17, 17, 17, 16, 18, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 18, 17, 17, 
## 17, 18, 17, 17, 17, 17, 17, 17, 18, 18, 17, 17, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 17, 17, 17, 18, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 
## 17, 18, 18, 17, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 
## 18, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 18, 18, 
## 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 18, 18, 18, 17, 18, 18, 17, 18, 18, 18, 17, 
## 18, 18, 17, 18, 18, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 17, 
## 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 17, 18, 
## 18, 18, 17, 17, 18, 17, 18, 17, 18, 18, 18, 17, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 19, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 18, 18, 17, 18, 17, 18, 18, 17, 18, 
## 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 17, 17, 18, 17, 18, 18, 
## 17, 17, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 17, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 19, 18, 19, 18, 19, 20, 19, 19, 18, 18, 
## 18, 18, 17, 18, 18, 17, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 17, 18, 17, 17, 17, 18, 18, 17, 17, 17, 17, 17, 18, 18, 18, 
## 19, 18, 18, 18, 17, 18, 17, 17, 18, 18, 18, 17, 17, 17, 18, 17, 
## 17, 17, 17, 17, 17, 16, 16, 17, 17, 17, 17, 17, 16, 17, 17, 17, 
## 17, 17, 18, 17, 17, 18, 17, 18, 17, 17, 17, 17, 17, 17, 18, 18, 
## 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 
## 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 
## 17, 19, 18, 18, 18, 18, 17, 18, 18, 17, 18, 18, 17, 17, 18, 18, 
## 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 19, 18, 18, 19, 18, 18, 18, 18, 18, 19, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
## 17, 17, 18, 18, 17, 17, 17, 17, 17, 18, 18, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 18, 17, 17, 18, 17, 17, 17, 17, 18, 18, 
## 18, 18, 18, 17, 18, 18, 18, 18, 17, 18, 17, 18, 17, 17, 18, 17, 
## 17, 17, 18, 18, 18, 18, 18, 17, 18, 18, 18, 17, 17, 18, 18, 17, 
## 17, 18, 18, 18, 18, 18, 17, 17, 17, 17, 18, 18, 17, 18, 18, 17, 
## 17, 17, 17, 18, 17, 17, 18, 18, 18, 17, 18, 18, 17, 17, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 17, 18, 18, 18, 18, 
## 17, 18, 17, 17, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 18, 
## 17, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 17, 18, 18, 18, 
## 17, 18, 18, 17, 18, 17, 18, 18, 17, 17, 18, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 20, 20, 20, 20, 20, 20, 
## 18, 19, 19, 20, 19, 18, 19, 18, 17, 16, 16, 16, 4, 4, 5, 5, 4, 
## 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 20, 20, 19, 19, 18, 19, 19, 19, 19, 19, 19, 
## 20, 20, 20, 19, 20, 20, 20, 19, 19, 19, 19, 19, 20, 19, 19, 20, 
## 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 20, 20, 20, 20, 
## 20, 20, 19, 19, 19, 19, 19, 20, 20, 19, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 
## 19, 19, 19, 21, 21, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 
## 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 20, 20, 19, 
## 20, 20, 20, 20, 20, 20, 20, 20, 21, 20, 21, 20, 20, 20, 20, 20, 
## 20, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 21, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 20, 19, 20, 19, 19, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 19, 19, 18, 18, 18, 19, 19, 20, 19, 20, 19, 20, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 21, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 18, 18, 18, 19, 
## 20, 20, 20, 19, 20, 20, 20, 20, 20, 20, 20, 20, 21, 20, 20, 20, 
## 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 19, 19, 19, 19, 19, 19, 
## 19, 20, 21, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 18, 18, 18, 
## 18, 19, 19, 19, 19, 19, 20, 20, 21, 21, 21, 20, 20, 19, 19, 18, 
## 19, 19, 18, 18, 19, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 19, 18, 18, 
## 18, 19, 19, 19, 19, 20, 19, 21, 21, 21, 20, 21, 20, 20, 20, 19, 
## 19, 19, 19, 20, 19, 19, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 19, 18, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 20, 20, 20, 20, 20, 20, 20, 19, 18, 18, 18, 18, 19, 19, 19, 19, 
## 20, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 20, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 19, 19, 19, 18, 18, 19, 
## 19, 19, 19, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 
## 18, 19, 19, 19, 19, 19, 19, 21, 21, 20, 20, 19, 18, 19, 19, 19, 
## 19, 19, 18, 19, 20, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 
## 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 19, 19, 19, 19, 18, 
## 19, 19, 18, 19, 19, 19, 19, 20, 19, 20, 20, 20, 20, 20, 20, 20, 
## 20, 19, 19, 18, 18, 19, 19, 19, 19, 19, 19, 20, 21, 21, 20, 20, 
## 20, 20, 20, 19, 19, 19, 20, 19, 19, 19, 19, 19, 18, 18, 18, 18, 
## 19, 19, 19, 19, 19, 19, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
## 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 
## 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 
## 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 
## 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 
## 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 
## 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
## 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 
## 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 3, 
## 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 
## 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 
## 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 
## 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 
## 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 
## 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 
## 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 
## 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 
## 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 
## 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 
## 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 
## 3, 2, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 
## 2, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 
## 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 4, 
## 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 4, 
## 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 
## 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 
## 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 
## 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 
## 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 
## 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 
## 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 4, 
## 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 
## 4, 3, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 
## 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 
## 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 18, 18, 17, 18, 18, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 17, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
## 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
## 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 18, 18, 17, 18, 18, 18, 17, 18, 18, 18, 18, 
## 18, 18, 18, 17, 18, 18, 18, 18, 17, 18, 17, 18, 17, 17, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 17, 17, 17, 18, 18, 18, 
## 17, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 17, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 17, 17, 
## 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 17, 18, 18, 17, 17, 
## 17, 17, 17, 17, 19, 19, 19, 19, 19, 19, 19, 20, 19, 19, 18, 17, 
## 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 
## 17, 18, 19, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
## 18, 18, 17, 17, 17, 17, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 18, 17, 18, 17, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 
## 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 18, 18, 
## 18, 18, 17, 18, 18, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 17, 17, 
## 17, 17, 17, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 
## 18, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 18, 18, 17, 17, 18, 18, 
## 18, 17, 17, 18, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 17, 17, 
## 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 18, 18, 17, 17, 17, 17, 18, 18, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 18, 17, 18, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 18, 18, 18, 17, 17, 17, 17, 17, 18, 17, 18, 
## 17, 18, 18, 18, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 
## 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 17, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 18, 18, 
## 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 18, 17, 17, 17, 17, 18, 17, 17, 18, 17, 17, 17, 
## 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 18, 18, 18, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 
## 18, 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 17, 17, 17, 17, 
## 17, 17, 17, 17, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 17, 17, 
## 17, 17, 17, 17, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 18, 
## 17, 17, 17, 17, 18, 18, 18, 18, 17, 15, 17, 18, 17, 17, 18, 18, 
## 17, 17, 18, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 17, 17, 17, 
## 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 17, 17, 17, 
## 18, 18, 18, 18, 17, 18, 18, 18, 17, 18, 18, 17, 18, 17, 18, 18, 
## 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 16, 17, 18, 18, 18, 17, 17, 17, 18, 18, 
## 17, 18, 17, 17, 17, 17, 18, 17, 17, 18, 17, 17, 17, 18, 17, 17, 
## 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 18, 17, 17, 17, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 
## 17, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 
## 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 18, 18, 18, 17, 18, 18, 17, 17, 17, 17, 
## 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 17, 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 18, 17, 17, 17, 18, 18, 18, 18, 17, 17, 18, 
## 18, 18, 18, 17, 18, 18, 18, 18, 18, 17, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 
## 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 
## 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 
## 3, 4, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 
## 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 
## 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 19, 19, 19, 19, 18, 18, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 21, 21, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 
## 19, 19, 19, 19, 19, 20, 19, 20, 20, 20, 19, 19, 20, 20, 20, 20, 
## 20, 19, 19, 20, 19, 19, 19, 19, 19, 18, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 
## 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 20, 
## 19, 20, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 19, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 
## 20, 19, 19, 19, 19, 19, 20, 20, 20, 19, 20, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 19, 19, 19, 19, 19, 19, 
## 19, 20, 19, 19, 20, 20, 19, 20, 20, 20, 20, 19, 19, 19, 19, 20, 
## 19, 19, 20, 19, 20, 19, 19, 19, 19, 19, 19, 20, 20, 20, 19, 20, 
## 20, 19, 19, 20, 20, 19, 19, 20, 20, 19, 19, 20, 20, 20, 19, 19, 
## 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 19, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 20, 19, 20, 
## 20, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 20, 19, 20, 19, 20, 
## 20, 20, 20, 20, 20, 20, 19, 19, 19, 20, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 20, 20, 19, 19, 20, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 20, 19, 19, 20, 19, 19, 20, 20, 20, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 20, 19, 19, 19, 20, 20, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 20, 19, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 18, 19, 19, 19, 19, 19, 19, 19, 18, 18, 19, 20, 19, 19, 
## 19, 20, 20, 20, 20, 19, 19, 19, 19, 19, 20, 19, 19, 20, 20, 20, 
## 19, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 20, 20, 19, 
## 19, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 3, 2, 2, 
## 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 
## 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 
## 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 2, 3, 
## 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 
## 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 
## 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 
## 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 
## 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 
## 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
## 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 
## 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 
## 3, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 
## 2, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 2, 2, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 
## 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 
## 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 
## 3, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 
## 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 
## 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 
## 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 
## 5, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 
## 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 6, 5, 5, 
## 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 5, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 5, 5, 4, 
## 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 
## 4, 5, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 
## 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 
## 5, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 
## 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 
## 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 6, 
## 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 
## 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 17, 17, 18, 
## 18, 18, 18, 17, 18, 17, 18, 18, 18, 17, 17, 17, 18, 18, 18, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 
## 17, 17, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 18, 17, 18, 
## 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 17, 18, 17, 18, 18, 18, 18, 17, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
## 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 
## 17, 18, 18, 18, 18, 17, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 
## 17, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 18, 17, 18, 17, 18, 18, 17, 17, 17, 17, 
## 18, 17, 18, 18, 18, 18, 18, 17, 17, 18, 18, 17, 18, 18, 17, 18, 
## 18, 18, 18, 17, 18, 18, 18, 18, 17, 17, 17, 17, 17, 18, 17, 17, 
## 17, 17, 17, 17, 18, 17, 17, 17, 17, 18, 17, 17, 17, 17, 18, 18, 
## 18, 18, 18, 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 
## 17, 17, 17, 17, 18, 17, 18, 17, 18, 18, 17, 18, 18, 18, 17, 18, 
## 17, 18, 18, 17, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 17, 18, 17, 18, 18, 18, 17, 18, 18, 
## 18, 18, 18, 18, 17, 18, 18, 17, 18, 18, 18, 17, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 18, 17, 18, 18, 18, 18, 18, 17, 18, 18, 
## 18, 18, 18, 18, 18, 17, 18, 18, 17, 17, 18, 17, 17, 18, 17, 17, 
## 17, 17, 17, 17, 17, 18, 17, 17, 18, 18, 17, 17, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 
## 17, 18, 18, 18, 18, 17, 18, 17, 18, 18, 18, 18, 18, 18, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 19, 19, 18, 18, 18, 18, 19, 18, 18, 
## 19, 18, 17, 17, 18, 18, 18, 18, 18, 17, 17, 17, 18, 18, 17, 17, 
## 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 17, 
## 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 18, 18, 
## 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 17, 
## 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 18, 18, 18, 17, 17, 17, 18, 17, 18, 18, 
## 17, 18, 17, 17, 17, 18, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 5, 
## 4, 5, 4, 5, 4, 4, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 
## 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 
## 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 19, 19, 20, 20, 
## 19, 19, 20, 19, 19, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 
## 19, 20, 20, 20, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 
## 19, 20, 20, 19, 19, 20, 20, 19, 19, 19, 19, 20, 19, 19, 19, 19, 
## 19, 19, 19, 19, 20, 19, 19, 19, 19, 20, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 19, 19, 19, 
## 20, 20, 20, 19, 19, 20, 20, 20, 20, 20, 19, 20, 20, 19, 20, 19, 
## 19, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 
## 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 18, 18, 19, 19, 20, 19, 20, 20, 20, 20, 20, 19, 19, 20, 
## 19, 19, 19, 19, 20, 19, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 
## 19, 19, 19, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 18, 19, 19, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 19, 20, 
## 20, 20, 20, 19, 19, 20, 20, 20, 19, 19, 19, 19, 20, 19, 20, 20, 
## 19, 20, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 19, 18, 
## 19, 19, 20, 19, 19, 19, 20, 20, 19, 19, 19, 18, 20, 18, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 20, 20, 19, 19, 19, 19, 19, 19, 20, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 19, 20, 20, 20, 
## 19, 20, 20, 19, 20, 20, 20, 19, 19, 20, 19, 20, 20, 20, 19, 19, 
## 19, 19, 19, 20, 20, 19, 19, 19, 19, 19, 20, 19, 19, 19, 19, 19, 
## 20, 19, 20, 19, 19, 19, 19, 20, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 20, 19, 19, 19, 19, 19, 19, 20, 19, 19, 19, 19, 19, 19, 
## 19, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 20, 19, 19, 20, 20, 20, 20, 19, 
## 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 18, 19, 19, 19, 19, 
## 20, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 20, 20, 19, 19, 
## 19, 20, 20, 19, 19, 19, 20, 20, 20, 20, 19, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 19, 18, 19, 20, 20, 20, 20, 21, 19, 20, 20, 19, 
## 19, 19, 19, 20, 19, 19, 19, 19, 20, 19, 19, 19, 19, 19, 20, 20, 
## 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
## 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 
## 17, 18, 18, 18, 18, 18, 18, 17, 17, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
## 17, 17, 17, 17, 17, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 18, 18, 18, 
## 18, 18, 19, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 19, 17, 18, 18, 18, 17, 18, 17, 17, 18, 18, 18, 18, 18, 18, 17, 
## 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 18, 18, 
## 18, 18, 17, 17, 17, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 2, 1, 
## 1, 1, 1, 1, 2, 2, 5, 3, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 
## 2, 2, 1, 2, 2, 3, 3, 3, 5, 5, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 
## 10, 10, 10, 9, 8, 8, 8, 7, 7, 6, 5, 3, 2, 2, 2, 1, 5, 5, 4, 4, 
## 5, 6, 6, 5, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 
## 2, 1, 1, 2, 2, 3, 6, 7, 8, 3, 4, 5, 4, 5, 5, 5, 3, 3, 3, 2, 1, 
## 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 5, 6, 7, 7, 8, 8, 9, 10, 10, 10, 
## 10, 10, 10, 9, 9, 9, 9, 8, 7, 7, 6, 5, 5, 5, 3, 2, 2, 2, 4, 2, 
## 2, 3, 3, 3, 4, 4, 4, 3, 5, 6, 7, 7, 5, 5, 6, 6, 4, 4, 4, 4, 4, 
## 4, 3, 3, 3, 3, 3, 3, 1, 2, 3, 3, 4, 4, 5, 5, 7, 8, 10, 10, 10, 
## 10, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 7, 6, 6, 5, 4, 3, 
## 3, 3, 4, 4, 4, 4, 6, 6, 6, 5, 6, 6, 5, 5, 5, 5, 4, 3, 4, 3, 3, 
## 3, 2, 3, 2, 1, 1, 3, 4, 4, 5, 5, 5, 6, 7, 9, 10, 10, 10, 10, 
## 9, 9, 9, 9, 9, 8, 8, 8, 7, 5, 5, 4, 4, 3, 3, 2, 2, 2, 2, 4, 4, 
## 1, 2, 3, 4, 5, 4, 3, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 3, 4, 4, 4, 
## 5, 5, 7, 8, 9, 9, 9, 10, 10, 9, 10, 10, 9, 8, 6, 6, 5, 4, 3, 
## 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 4, 4, 4, 3, 3, 4, 5, 3, 3, 
## 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 10, 
## 9, 10, 10, 10, 10, 10, 9, 10, 10, 8, 8, 6, 6, 5, 3, 3, 3, 3, 
## 3, 2, 2, 3, 3, 3, 3, 3, 5, 6, 6, 5, 6, 5, 6, 5, 4, 5, 5, 5, 5, 
## 4, 4, 4, 4, 3, 3, 2, 3, 3, 3, 2, 1, 2, 3, 3, 4, 4, 4, 4, 4, 4, 
## 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 
## 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 
## 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 
## 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 
## 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 
## 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 6, 5, 5, 4, 4, 4, 4, 4, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 
## 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 
## 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 
## 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 18, 18, 18, 17, 
## 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 
## 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
## 18, 18, 18, 18, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 18, 17, 17, 17, 18, 17, 17, 17, 18, 18, 18, 18, 18, 18, 17, 
## 17, 17, 18, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 17, 
## 17, 17, 17, 18, 18, 18, 18, 17, 18, 18, 18, 17, 17, 18, 17, 17, 
## 17, 17, 17, 17, 17, 17, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 
## 17, 18, 18, 17, 18, 18, 18, 18, 18, 17, 17, 17, 18, 18, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 18, 18, 18, 17, 18, 18, 17, 17, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 17, 17, 18, 17, 17, 17, 18, 17, 17, 17, 
## 18, 18, 18, 18, 18, 18, 18, 17, 18, 17, 18, 18, 17, 17, 17, 17, 
## 17, 17, 17, 17, 17, 18, 18, 17, 17, 18, 18, 17, 18, 17, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 17, 18, 17, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 17, 
## 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 19, 20, 20, 20, 19, 
## 18, 18, 19, 19, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 18, 
## 19, 17, 18, 18, 17, 18, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 18, 18, 19, 18, 18, 18, 18, 17, 17, 17, 17, 18, 18, 17, 17, 
## 17, 17, 18, 18, 17, 18, 18, 17, 17, 17, 19, 17, 17, 18, 18, 17, 
## 18, 18, 17, 18, 17, 17, 17, 17, 18, 17, 17, 17, 18, 17, 18, 18, 
## 18, 17, 18, 17, 18, 17, 17, 18, 18, 18, 18, 18, 17, 17, 17, 18, 
## 18, 18, 17, 18, 17, 18, 18, 17, 17, 17, 17, 18, 17, 17, 17, 18, 
## 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 18, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
## 17, 17, 17, 17, 18, 18, 17, 18, 18, 18, 18, 18, 17, 17, 18, 18, 
## 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 17, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
## 18, 18, 18, 18, 19, 19, 18, 18, 18, 18, 18, 18, 17, 18, 18, 17, 
## 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 19, 18, 18, 18, 18, 18, 
## 19, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
## 18, 18, 17, 17, 18, 18, 17, 18, 18, 18, 18, 18, 18, 17, 18, 18, 
## 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 17, 17, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 18, 17, 17, 18, 
## 18, 18, 18, 18, 18, 17, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 
## 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
## 18, 18, 18, 17, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 17, 
## 17, 17, 18, 17, 18, 18, 17, 17, 17, 17, 18, 18, 17, 17, 17, 18, 
## 17, 17, 17, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 2, 4, 5, 5, 9, 10, 10, 
## 10, 11, 11, 10, 10, 10, 9, 6, 6, 6, 5, 3, 4, 4, 4, 4, 5, 5, 5, 
## 5, 6, 5, 5, 5, 4, 3, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 1, 1, 6, 7, 
## 7, 8, 9, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 
## 9, 9, 8, 6, 6, 5, 3, 3, 2, 2, 2, 3, 3, 4, 4, 5, 5, 4, 4, 3, 3, 
## 3, 3, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 3, 4, 5, 6, 9, 10, 10, 
## 10, 10, 10, 10, 9, 9, 9, 8, 7, 5, 5, 5, 4, 1, 0, 3, 3, 3, 4, 
## 5, 5, 5, 5, 19, 19, 19, 19, 20, 19, 19, 19, 19, 19, 19, 19, 20, 
## 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 19, 19, 18, 19, 20, 20, 
## 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 19, 20, 20, 
## 20, 20, 20, 19, 20, 19, 20, 20, 19, 19, 19, 18, 18, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 4, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 1, 1, 1, 3, 2, 2, 4, 4, 8, 22, 18, 6, 7, 9, 8, 
## 5, 6, 7, 8, 9, 6, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 
## 8, 9, 9, 9, 8, 8, 8, 5, 5, 4, 19, 19, 19, 18, 18, 17, 17, 17, 
## 17, 17, 17, 17, 16, 16, 16, 17, 16, 16, 17, 16, 16, 16, 16, 18, 
## 18, 17, 17, 18, 19, 19, 20, 22, 24, 22, 23, 24, 24, 24, 24, 25, 
## 25, 25, 25, 26, 25, 25, 26, 25, 25, 25, 25, 24, 21, 20, 20, 20, 
## 19, 20, 20, 19, 19, 19, 20, 20, 19, 19, 18, 17, 16, 18, 17, 16, 
## 16, 16, 15, 16, 16, 16, 16, 17, 17, 17, 18, 17, 18, 17, 18, 17, 
## 17, 18, 20, 21, 21, 20, 20, 20, 20, 21, 21, 20, 21, 21, 21, 21, 
## 20, 20, 19, 19, 18, 18, 18, 19, 18, 18, 18, 17, 17, 18, 19, 19, 
## 18, 18, 19, 20, 20, 20, 20, 21, 20, 19, 20, 13, 19, 18, 18, 18, 
## 18, 19, 19, 17, 17, 17, 16, 16, 16, 16, 16, 16, 16, 16, 16, 3, 
## 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 3, 2, 3, 3, 2, 3, 
## 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 
## 5, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 3, 3, 2, 3, 2, 2, 2, 
## 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 3, 3, 3, 4, 
## 3, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 3, 2, 2, 3, 3, 4, 4, 4, 4, 4, 
## 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 2, 1, 
## 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 2, 1, 2, 
## 2, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 
## 4, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 4, 4, 5, 4, 
## 4, 4, 3, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 
## 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 2, 3, 3, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 1, 
## 1, 1, 1, 1, 2, 2, 5, 5, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 2, 2, 2, 
## 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 
## 3, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 4, 6, 7, 6, 7, 
## 8, 7, 8, 7, 7, 7, 6, 5, 4, 4, 3, 4, 3, 3, 2, 2, 1, 1, 2, 2, 5, 
## 4, 3, 4, 5, 4, 3, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 
## 2, 2, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 6, 4, 4, 3, 3, 3, 2, 2, 2, 
## 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 4, 4, 5, 5, 5, 4, 
## 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 3, 
## 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 
## 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 
## 4, 4, 4, 18, 18, 19, 18, 20, 20, 21, 21, 23, 24, 25, 25, 24, 
## 24, 23, 23, 23, 23, 23, 23, 24, 25, 25, 24, 24, 24, 22, 21, 18, 
## 18, 20, 17, 19, 19, 19, 19, 19, 19, 19, 20, 21, 21, 22, 22, 23, 
## 23, 24, 25, 24, 23, 22, 22, 20, 21, 25, 24, 24, 23, 23, 24, 23, 
## 23, 24, 24, 24, 24, 20, 19, 21, 22, 19, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 19, 19, 19, 20, 20, 21, 21, 21, 21, 21, 22, 22, 
## 23, 24, 24, 24, 24, 23, 23, 21, 21, 23, 25, 25, 25, 24, 23, 23, 
## 23, 23, 24, 22, 20, 20, 20, 21, 21, 18, 18, 18, 19, 18, 18, 18, 
## 18, 18, 18, 18, 17, 17, 17, 18, 18, 18, 20, 20, 20, 21, 22, 22, 
## 21, 22, 23, 23, 24, 24, 25, 27, 26, 26, 26, 27, 26, 26, 26, 26, 
## 25, 26, 26, 25, 25, 24, 22, 21, 20, 20, 20, 19, 18, 18, 17, 17, 
## 17, 18, 17, 17, 16, 17, 17, 16, 16, 16, 17, 17, 16, 17, 17, 17, 
## 17, 17, 19, 19, 19, 20, 22, 21, 23, 23, 23, 24, 24, 24, 24, 25, 
## 25, 25, 26, 26, 26, 26, 27, 28, 27, 26, 26, 26, 26, 25, 25, 24, 
## 22, 22, 21, 21, 21, 20, 20, 20, 19, 19, 19, 18, 17, 18, 18, 18, 
## 17, 17, 18, 17, 17, 17, 17, 18, 18, 17, 18, 19, 19, 19, 20, 20, 
## 20, 20, 21, 22, 22, 23, 23, 23, 23, 23, 24, 25, 24, 24, 24, 25, 
## 25, 26, 25, 25, 25, 25, 25, 24, 24, 24, 24, 24, 24, 24, 24, 23, 
## 23, 22, 22, 22, 22, 21, 21, 21, 20, 20, 20, 20, 20, 19, 19, 19, 
## 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 
## 19, 19, 19, 19, 21, 21, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 
## 22, 23, 23, 23, 22, 24, 24, 23, 25, 26, 26, 26, 27, 27, 26, 25, 
## 25, 26, 25, 25, 24, 24, 24, 24, 23, 23, 22, 22, 21, 20, 20, 20, 
## 19, 19, 18, 18, 17, 16, 16, 16, 15, 16, 16, 15, 15, 15, 15, 15, 
## 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 20, 20, 21, 22, 21, 21, 
## 22, 23, 22, 23, 23, 25, 26, 26, 27, 26, 26, 26, 25, 26, 26, 25, 
## 26, 25, 25, 25, 25, 24, 24, 24, 23, 23, 23, 23, 22, 21, 21, 21, 
## 20, 20, 18, 17, 17, 17, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 
## 18, 18, 20, 20, 20, 21, 21, 21, 22, 23, 23, 23, 23, 23, 26, 26, 
## 25, 25, 25, 26, 26, 26, 25, 27, 28, 29, 28, 28, 28, 27, 27, 27, 
## 25, 25, 25, 26, 27, 25, 25, 26, 25, 25, 24, 24, 23, 23, 23, 22, 
## 21, 21, 20, 20, 20, 19, 19, 18, 17, 17, 16, 16, 15, 15, 16, 16, 
## 16, 16, 16, 17, 16, 16, 16, 19, 20, 20, 21, 21, 22, 22, 21, 21, 
## 21, 22, 23, 22, 22, 24, 26, 25, 26, 26, 26, 26, 25, 26, 26, 26, 
## 26, 26, 26, 26, 25, 24, 24, 24, 24, 23, 23, 21, 21, 21, 21, 20, 
## 19, 18, 17, 17, 17, 17, 15, 16, 16, 16, 16, 15, 15, 16, 17, 17, 
## 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 27, 27, 27, 26, 
## 26, 26, 26, 25, 25, 24, 24, 24, 24, 22, 21, 20, 20, 19, 18, 17, 
## 17, 17, 17, 18, 17, 17, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 
## 18, 18, 18, 18, 18, 18, 18, 19, 20, 22, 23, 24, 24, 26, 25, 26, 
## 25, 26, 26, 27, 26, 27, 27, 27, 27, 26, 26, 26, 26, 26, 26, 24, 
## 23, 23, 22, 22, 21, 20, 20, 20, 20, 19, 18, 18, 17, 18, 17, 17, 
## 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 21, 22, 24, 23, 
## 23, 23, 23, 23, 23, 25, 26, 26, 26, 26, 26, 26, 26, 26, 25, 26, 
## 27, 28, 28, 28, 27, 26, 26, 25, 25, 24, 24, 23, 22, 19, 19, 19, 
## 19, 19, 18, 18, 18, 18, 16, 16, 17, 17, 17, 16, 16, 16, 17, 17, 
## 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 17, 18, 18, 18, 
## 18, 18, 17, 19, 19, 19, 19, 19, 20, 20, 19, 19, 19, 19, 19, 19, 
## 19, 18, 18, 17, 18, 18, 19, 18, 18, 18, 18, 18, 17, 18, 18, 20, 
## 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 17, 17, 17, 18, 19, 17, 17, 18, 18, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 4, 4, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 
## 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 5, 3, 
## 3, 3, 3, 3, 3, 5, 17, 14, 8, 9, 10, 13, 9, 4, 4, 3, 2, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 4, 
## 3, 2, 2, 1, 2, 2, 2, 3, 3, 3, 3, 5, 6, 6, 5, 3, 3, 3, 2, 2, 2, 
## 3, 3, 3, 7, 4, 3, 4, 7, 6, 5, 4, 4, 4, 3, 2, 2, 7, 5, 2, 4, 4, 
## 5, 4, 4, 5, 5, 4, 4, 4, 4, 3, 4, 3, 3, 2, 3, 3, 2, 1, 2, 2, 3, 
## 4, 6, 7, 5, 5, 6, 6, 5, 4, 4, 4, 4, 3, 3, 5, 1, 1, 2, 3, 3, 5, 
## 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 1, 2, 5, 3, 2, 4, 4, 5, 2, 4, 
## 5, 5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 2, 2, 5, 4, 4, 5, 
## 3, 3, 2, 1, 2, 4, 3, 3, 3, 3, 4, 3, 2, 4, 4, 5, 4, 4, 3, 2, 3, 
## 3, 3, 3, 2, 4, 2, 8, 6, 6, 5, 6, 5, 4, 5, 1, 3, 4, 4, 4, 4, 5, 
## 4, 2, 2, 3, 4, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 
## 4, 3, 1, 2, 4, 4, 2, 3, 3, 5, 6, 7, 6, 5, 5, 5, 4, 4, 2, 4, 4, 
## 4, 3, 3, 3, 6, 5, 4, 3, 4, 5, 5, 5, 5, 4, 4, 5, 3, 3, 3, 4, 2, 
## 2, 2, 1, 3, 3, 6, 7, 6, 6, 4, 4, 3, 3, 2, 2, 2, 3, 5, 4, 3, 3, 
## 2, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 4, 5, 5, 4, 3, 3, 3, 2, 3, 3, 
## 1, 1, 2, 2, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 2, 3, 3, 2, 4, 4, 4, 
## 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 6, 4, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 18, 20, 
## 22, 21, 20, 21, 20, 20, 21, 22, 22, 25, 26, 27, 25, 25, 24, 24, 
## 25, 26, 25, 26, 25, 25, 26, 26, 26, 25, 25, 23, 24, 24, 24, 24, 
## 22, 21, 21, 20, 20, 19, 19, 19, 18, 18, 18, 18, 18, 17, 17, 17, 
## 17, 17, 17, 16, 17, 16, 16, 16, 16, 15, 16, 16, 16, 16, 17, 17, 
## 17, 17, 17, 18, 19, 20, 21, 23, 22, 24, 24, 24, 23, 23, 24, 25, 
## 25, 25, 25, 25, 26, 26, 27, 27, 26, 26, 27, 25, 24, 24, 24, 23, 
## 22, 21, 20, 20, 19, 19, 19, 19, 18, 18, 18, 17, 17, 17, 17, 17, 
## 17, 17, 18, 17, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 19, 19, 
## 19, 20, 21, 21, 21, 23, 24, 23, 24, 24, 24, 25, 25, 25, 25, 25, 
## 24, 25, 26, 25, 25, 25, 25, 24, 22, 21, 21, 21, 20, 20, 19, 19, 
## 19, 20, 20, 19, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 
## 18, 18, 17, 16, 16, 17, 18, 17, 17, 18, 18, 19, 20, 21, 20, 21, 
## 21, 22, 23, 23, 23, 23, 24, 24, 23, 24, 24, 25, 25, 27, 27, 27, 
## 27, 27, 25, 25, 24, 24, 24, 23, 22, 22, 21, 20, 20, 20, 19, 19, 
## 19, 18, 20, 22, 22, 22, 23, 22, 23, 25, 25, 25, 25, 24, 25, 25, 
## 25, 25, 25, 25, 25, 25, 25, 24, 24, 24, 24, 23, 23, 23, 21, 20, 
## 19, 19, 18, 18, 18, 17, 16, 16, 16, 16, 16, 16, 16, 16, 17, 16, 
## 17, 17, 17, 18, 19, 21, 22, 20, 21, 21, 21, 20, 23, 23, 25, 25, 
## 26, 26, 25, 25, 25, 25, 24, 24, 24, 25, 24, 24, 24, 23, 24, 24, 
## 24, 24, 24, 23, 23, 23, 22, 20, 20, 17, 17, 18, 19, 18, 21, 22, 
## 22, 21, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 25, 25, 26, 26, 
## 26, 26, 25, 24, 24, 24, 23, 22, 22, 21, 21, 20, 20, 19, 19, 18, 
## 19, 19, 18, 17, 17, 17, 17, 17, 17, 17, 18, 18, 17, 19, 19, 17, 
## 17, 18, 18, 18, 19, 20, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 
## 26, 25, 25, 26, 26, 25, 25, 25, 25, 26, 26, 26, 25, 25, 24, 24, 
## 24, 24, 24, 24, 23, 22, 22, 21, 17, 16, 16, 16, 16, 16, 17, 17, 
## 17, 18, 19, 21, 21, 21, 23, 24, 23, 25, 25, 25, 24, 24, 21, 20, 
## 19, 19, 19, 19, 19, 18, 18, 17, 18, 17, 17, 17, 16, 17, 17, 17, 
## 19, 19, 19, 19, 18, 18, 18, 17, 17, 17, 16, 16, 17, 17, 17, 17, 
## 17, 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 
## 18, 18, 18, 18, 18, 18, 17, 16, 16, 16, 16, 17, 18, 18, 20, 24, 
## 24, 25, 23, 21, 20, 22, 23, 21, 21, 20, 20, 20, 20, 20, 20, 20, 
## 20, 20, 20, 20, 21, 21, 22, 23, 23, 23, 24, 24, 23, 24, 24, 25, 
## 25, 21, 22, 22, 23, 23, 24, 24, 23, 22, 22, 23, 24, 26, 25, 25, 
## 25, 24, 25, 25, 24, 25, 24, 24, 23, 23, 23, 21, 20, 21, 21, 21, 
## 20, 19, 19, 18, 19, 20, 20, 20, 20, 20, 20, 19, 19, 20, 22, 21, 
## 21, 21, 23, 23, 24, 23, 23, 24, 24, 24, 24, 23, 25, 26, 27, 25, 
## 24, 24, 25, 24, 23, 23, 24, 24, 24, 23, 22, 21, 20, 21, 20, 20, 
## 19, 19, 20, 21, 19, 19, 20, 19, 19, 19, 19, 20, 20, 20, 22, 24, 
## 24, 24, 25, 24, 25, 24, 20, 20, 20, 20, 21, 22, 22, 22, 23, 23, 
## 23, 26, 25, 25, 26, 27, 25, 24, 24, 23, 23, 24, 20, 20, 19, 20, 
## 20, 20, 21, 21, 20, 21, 23, 24, 23, 24, 25, 24, 23, 23, 23, 23, 
## 24, 24, 24, 24, 24, 25, 25, 25, 26, 24, 24, 23, 22, 22, 24, 25, 
## 20, 22, 24, 20, 19, 18, 19, 20, 19, 19, 22, 22, 23, 23, 22, 22, 
## 23, 23, 22, 22, 22, 22, 22, 22, 23, 22, 22, 21, 21, 20, 21, 22, 
## 22, 21, 21, 21, 21, 22, 22, 22, 21, 21, 21, 22, 22, 22, 22, 22, 
## 22, 22, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 20, 21, 21, 21, 23, 24, 24, 
## 25, 26, 27, 27, 27, 28, 28, 28, 28, 28, 28, 27, 27, 27, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
## 5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 4, 3, 4, 4, 4, 3, 
## 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 4, 
## 3, 3, 4, 4, 5, 4, 4, 2, 3, 2, 2, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 
## 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 3, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 5, 4, 4, 4, 4, 
## 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 
## 3, 3, 3, 2, 3, 3, 3, 3, 21, 20, 20, 21, 22, 23, 22, 22, 22, 22, 
## 23, 22, 22, 22, 23, 23, 22, 22, 22, 22, 22, 22, 22, 23, 22, 22, 
## 22, 22, 22, 22, 26, 27, 25, 25, 24, 23, 24, 24, 23, 24, 25, 23, 
## 23, 20, 21, 22, 21, 21, 20, 19, 19, 20, 19, 25, 24, 24, 24, 26, 
## 26, 25, 24, 23, 22, 23, 24, 25, 21, 21, 20, 19, 19, 17, 19, 18, 
## 19, 25, 24, 24, 24, 24, 24, 24, 24, 24, 24, 22, 20, 22, 23, 21, 
## 20, 20, 20, 19, 20, 20, 20, 19, 20, 19, 20, 18, 18, 20, 21, 21, 
## 21, 23, 23, 23, 23, 23, 24, 24, 24, 24, 23, 24, 23, 23, 23, 25, 
## 25, 24, 25, 2, 2, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 2, 2, 2, 2, 2, 
## 2, 3, 1, 2, 3, 2, 3, 2, 2, 3, 4, 4, 3, 3, 4, 5, 5, 4, 5, 5, 5, 
## 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 
## 2, 2, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 
## 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 2, 2, 2, 2, 
## 20, 19, 19, 19, 17, 18, 17, 18, 16, 16, 16, 17, 25, 25, 25, 25, 
## 24, 24, 24, 23, 21, 21, 19, 19, 18, 18), gyros_belt_x = c(0, 
## 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 
## 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0, 
## 0.02, 0.03, 0.03, 0, 0, -0.02, -0.02, -0.02, -0.02, 0.02, 0.02, 
## 0, 0, 0, 0, 0, 0.02, 0.03, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0, 0, -0.02, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.03, 
## 0.03, 0.06, 0.06, 0.06, 0.05, 0.03, 0, -0.02, -0.03, -0.02, 0, 
## 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.03, 0.03, 0.03, 
## 0.03, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
## 0.03, -0.51, -0.51, -0.53, -0.51, -0.51, -0.5, -0.48, -0.47, 
## -0.47, -0.4, -0.42, -0.45, -0.47, -0.5, -0.51, -0.51, -0.45, 
## -0.4, -0.4, -0.39, -0.39, -0.4, -0.43, -0.43, -0.42, -0.4, -0.42, 
## -0.43, -0.43, -0.43, -0.42, -0.42, -0.4, -0.42, -0.42, -0.43, 
## -0.43, -0.43, -0.42, -0.42, -0.42, -0.42, -0.43, -0.43, -0.43, 
## -0.43, -0.43, -0.43, -0.43, -0.43, -0.43, -0.43, -0.45, -0.42, 
## -0.4, -0.42, -0.43, -0.43, -0.47, -0.47, -0.47, -0.47, -0.47, 
## -0.47, -0.47, -0.45, -0.45, -0.45, -0.45, -0.45, -0.45, -0.47, 
## -0.47, -0.51, -0.5, -0.47, -0.47, -0.48, -0.48, -0.48, -0.48, 
## -0.48, -0.5, -0.5, -0.5, -0.48, -0.48, -0.5, -0.48, -0.47, -0.43, 
## -0.37, -0.32, -0.31, -0.37, -0.39, -0.39, -0.37, -0.42, -0.43, 
## -0.43, -0.45, -0.47, -0.48, -0.5, -0.48, -0.47, -0.48, -0.5, 
## -0.48, -0.5, -0.5, -0.5, -0.48, -0.5, -0.5, -0.47, -0.45, -0.43, 
## -0.4, -0.4, -0.4, -0.42, -0.43, -0.45, -0.45, -0.45, -0.42, -0.4, 
## -0.4, -0.4, -0.4, -0.39, -0.37, -0.39, -0.4, -0.45, -0.48, -0.5, 
## -0.58, -0.58, -0.58, -0.56, -0.55, -0.58, -0.58, -0.55, -0.5, 
## -0.5, -0.48, -0.42, -0.39, -0.37, -0.32, -0.31, -0.32, -0.34, 
## -0.43, -0.43, -0.45, -0.45, -0.45, -0.45, -0.43, -0.42, -0.43, 
## -0.42, -0.43, -0.42, -0.43, -0.43, -0.45, -0.43, -0.4, -0.4, 
## -0.4, -0.42, -0.45, -0.47, -0.45, -0.43, -0.42, -0.43, -0.42, 
## -0.39, -0.39, -0.39, -0.34, -0.35, -0.35, -0.39, -0.4, -0.4, 
## -0.4, -0.42, -0.48, -0.51, -0.53, -0.53, -0.53, -0.51, -0.51, 
## -0.53, -0.53, -0.56, -0.55, -0.53, -0.53, -0.53, -0.48, -0.45, 
## -0.4, -0.37, -0.31, -0.4, -0.42, -0.43, -0.42, -0.42, -0.37, 
## -0.37, -0.37, -0.35, -0.35, -0.35, -0.37, -0.39, -0.42, -0.43, 
## -0.45, -0.47, -0.48, -0.5, -0.53, -0.53, -0.53, -0.55, -0.55, 
## -0.55, -0.55, -0.55, -0.55, -0.51, -0.34, -0.32, -0.31, -0.34, 
## -0.39, -0.37, -0.39, -0.4, -0.4, -0.39, -0.39, -0.4, -0.4, -0.42, 
## -0.42, -0.43, -0.47, -0.5, -0.5, -0.5, -0.5, -0.48, -0.47, -0.47, 
## -0.45, -0.43, -0.42, -0.43, -0.43, -0.43, -0.43, -0.43, -0.43, 
## -0.43, -0.45, -0.43, -0.45, -0.45, -0.45, -0.47, -0.47, -0.47, 
## -0.47, -0.45, -0.43, -0.4, -0.39, -0.35, -0.32, -0.32, -0.34, 
## -0.34, -0.35, -0.35, -0.39, -0.4, -0.48, -0.51, -0.55, -0.55, 
## -0.53, -0.51, -0.5, -0.42, -0.35, -0.34, -0.34, -0.37, -0.39, 
## -0.4, -0.4, -0.4, -0.42, -0.45, -0.45, -0.47, -0.48, -0.48, -0.47, 
## -0.43, -0.43, -0.43, -0.4, -0.42, -0.43, -0.43, -0.42, -0.43, 
## -0.43, -0.43, -0.45, -0.43, -0.45, -0.43, -0.42, -0.42, -0.4, 
## -0.39, -0.35, -0.35, -0.37, -0.39, -0.42, -0.43, -0.45, -0.47, 
## -0.5, -0.51, -0.51, -0.5, -0.5, -0.42, -0.42, -0.4, -0.4, -0.37, 
## -0.35, -0.35, -0.37, -0.37, -0.37, -0.37, -0.42, -0.42, -0.4, 
## -0.39, -0.39, -0.4, -0.4, -0.4, -0.43, -0.42, -0.42, -0.43, -0.43, 
## -0.43, -0.5, -0.5, -0.51, -0.53, -0.55, -0.55, -0.55, -0.53, 
## -0.51, -0.51, -0.5, -0.48, -0.48, -0.47, -0.42, -0.35, -0.34, 
## -0.35, -0.37, -0.39, -0.42, -0.47, -0.48, -0.48, -0.5, -0.5, 
## -0.5, -0.5, -0.42, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.42, 
## -0.43, -0.47, -0.43, -0.42, -0.39, -0.37, -0.39, -0.39, -0.39, 
## -0.4, -0.4, -0.4, -0.39, -0.4, -0.42, -0.45, -0.47, -0.51, -0.48, 
## -0.45, -0.43, -0.4, -0.37, -0.37, -0.42, -0.4, -0.42, -0.42, 
## -0.42, -0.43, -0.45, -0.45, -0.43, -0.43, -0.43, -0.42, -0.4, 
## -0.4, -0.4, -0.42, -0.42, -0.42, -0.42, -0.42, -0.43, -0.43, 
## -0.43, -0.47, -0.51, -0.51, -0.47, -0.45, -0.45, -0.42, -0.39, 
## -0.37, -0.39, -0.4, -0.4, -0.43, -0.43, -0.42, -0.42, -0.43, 
## -0.45, -0.45, -0.42, -0.42, -0.4, -0.43, -0.45, -0.45, -0.47, 
## -0.45, -0.47, -0.48, -0.5, -0.42, -0.43, -0.43, -0.43, -0.42, 
## -0.42, -0.37, -0.37, -0.39, -0.4, -0.43, -0.47, -0.47, -0.47, 
## -0.47, -0.45, -0.45, -0.45, -0.45, -0.43, -0.43, -0.45, -0.45, 
## -0.45, -0.43, -0.45, -0.45, -0.45, -0.43, -0.43, -0.43, -0.43, 
## -0.45, -0.45, -0.43, -0.42, 0.11, 0.11, 0.06, 0.06, 0.06, 0.08, 
## 0.14, 0.16, 0.08, 0.03, 0.03, 0.06, 0.05, -0.02, 0.02, 0.05, 
## 0.06, 0.06, 0.11, 0.14, 0.18, 0.19, 0.19, 0.16, 0.13, 0.13, 0.11, 
## 0.1, 0.1, 0.08, 0.08, 0.08, 0.08, 0.06, 0.06, 0.05, 0.05, 0.03, 
## 0.03, 0.02, 0, -0.02, -0.02, 0, 0.02, 0.03, 0.02, 0.08, 0.06, 
## 0.08, 0.08, 0.1, 0.08, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.08, 0.1, 0.1, 0.1, 0.1, 0.08, 0.1, 0.1, 0.1, 0.08, 0.06, 0.06, 
## 0.08, 0.1, 0.11, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 0.14, 
## 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.1, 0.08, 0.08, 0.08, 
## 0.08, 0.08, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.08, 0.08, 0.06, 
## 0.06, 0.06, 0.06, 0.03, 0.03, 0.03, 0.05, 0.1, 0.1, 0.1, 0.08, 
## 0.11, 0.1, 0.1, 0.1, 0.08, 0.1, 0.1, 0.1, 0.14, 0.16, 0.16, 0.13, 
## 0.11, 0.1, 0.08, 0.06, 0.06, 0.05, 0.06, 0.08, 0.08, 0.1, 0.1, 
## 0.11, 0.13, 0.14, 0.14, 0.14, 0.14, 0.13, 0.14, 0.14, 0.14, 0.14, 
## 0.05, 0.08, 0.1, 0.16, 0.18, 0.18, 0.14, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.08, 0.03, 0.03, 
## 0.03, 0.03, 0.05, 0.03, 0.05, 0.06, 0.08, 0.08, 0.08, 0.1, 0.11, 
## 0.13, 0.11, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.19, 0.29, 0.5, 0.45, 0.39, 0.29, 0.08, 0.02, -0.05, -0.13, 
## -0.16, -0.22, -0.24, -0.22, -0.1, 0.08, 0.21, 0.22, 0.22, 0.16, 
## 0.11, 0.13, 0.14, 0.14, 0.11, 0.1, 0.1, 0.18, 0.19, 0.18, 0.16, 
## 0.18, 0.14, 0.14, 0.1, 0.1, 0.08, 0.14, 0.11, 0.18, 0.22, 0.14, 
## 0.08, 0.03, 0.05, 0.1, 0.1, 0.1, 0.1, 0.08, 0.05, 0.02, 0, -0.02, 
## 0, 0, 0.02, 0.03, 0.06, 0.06, 0.06, -0.03, -0.05, -0.05, -0.05, 
## -0.02, 0, 0.02, 0.03, 0.11, 0.13, 0.13, 0.14, 0.16, 0.18, 0.18, 
## 0.19, 0.21, 0.21, 0.22, 0.24, 0.26, 0.27, 0.34, 0.34, 0.35, 0.37, 
## 0.35, 0.43, 0.45, 0.08, 0.08, 0.1, 0.1, 0.1, 0.08, 0.06, 0.05, 
## 0.03, 0.03, 0.02, 0.02, 0, 0, -0.03, -0.05, -0.06, -0.06, -0.06, 
## -0.05, -0.05, -0.08, -0.08, -0.1, -0.08, -0.08, -0.06, -0.06, 
## 0, 0.03, 0.06, 0.16, 0.19, 0.26, 0.27, 0.29, 0.24, 0.19, 0.14, 
## 0.13, 0.1, 0.06, 0.03, 0, -0.05, -0.05, -0.03, -0.03, -0.03, 
## 0.02, 0.02, 0.06, 0.06, 0.06, 0.06, 0.08, 0.1, 0.11, 0.16, 0.16, 
## 0.16, 0.13, 0.1, 0.08, 0.06, 0.06, 0.1, 0.13, 0.16, 0.16, 0.14, 
## 0.08, 0.08, 0.1, 0.1, 0.1, 0.11, 0.13, 0.14, 0.16, 0.18, 0.18, 
## 0.18, 0.18, 0.16, 0.14, 0.1, 0.1, 0.1, 0.08, 0.08, 0.06, 0.08, 
## 0.13, 0.13, 0.14, 0.14, 0.16, 0.16, 0.16, 0.14, 0.14, 0.14, 0.13, 
## 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.08, 0.08, 0.1, 0.11, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.11, 
## 0.08, 0.06, 0.06, 0.06, 0.08, 0.08, 0.11, 0.11, 0.11, 0.13, 0.14, 
## 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.08, 
## 0.08, 0.08, 0.08, 0.08, 0.1, 0.08, 0.1, 0.1, 0.13, 0.14, 0.16, 
## 0.16, 0.16, 0.14, 0.13, 0.11, 0.1, 0.08, 0.08, 0.1, 0.1, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.16, 0.18, 0.16, 0.16, 0.14, 0.14, 0.13, 0.13, 0.11, 0.1, 0.1, 
## 0.1, 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.14, 0.13, 0.13, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.14, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 
## 0.1, 0.1, 0.11, 0.14, 0.14, 0.16, 0.16, 0.18, 0.16, 0.14, 0.13, 
## 0.11, 0.08, 0.08, 0.06, 0.08, 0.08, 0.1, 0.1, 0.1, 0.11, 0.1, 
## 0.11, 0.14, 0.16, 0.14, 0.14, 0.14, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.14, 0.13, 0.13, 0.11, 0.11, 0.08, 0.08, 0.08, 
## 0.08, 0.08, 0.08, 0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.1, 0.08, 
## 0.06, 0.11, 0.13, 0.14, 0.13, 0.11, 0.1, 0.11, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.14, 0.18, 0.18, 0.18, 0.18, 0.18, 
## 0.16, 0.11, 0.1, 0.08, 0.06, 0.06, 0.1, 0.1, 0.08, 0.06, 0.06, 
## 0.08, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 0.1, 0.1, 0.1, 0.13, 
## 0.13, 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 0.1, 0.08, 0.06, 0.06, 
## 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.1, 0.08, 0.1, 0.1, 0.11, 0.13, 0.11, 0.1, 0.1, 0.11, 0.11, 
## 0.13, 0.14, 0.14, 0.16, 0.16, 0.16, 0.16, 0.14, 0.14, 0.13, 0.1, 
## 0.08, 0.08, 0.1, 0.11, 0.11, 0.13, 0.13, 0.1, 0.08, 0.08, 0.1, 
## 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.1, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.13, 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 0.1, 0.08, 
## 0.08, 0.1, 0.1, 0.1, 0.13, 0.13, 0.11, 0.1, 0.13, 0.13, 0.13, 
## 0.13, 0.11, 0.08, 0.06, 0.08, 0.08, 0.11, 0.08, 0.11, 0.13, 0.13, 
## 0.14, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.16, 0.14, 0.14, 0.14, 0.13, 0.08, 0.1, 0.08, 0.08, 
## 0.08, 0.1, 0.08, 0.08, 0.1, 0.13, 0.14, 0.14, 0.14, 0.11, 0.11, 
## 0.1, 0.08, 0.1, 0.1, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 0.13, 0.14, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.08, 0.06, 0.06, 0.06, 0.08, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 0.14, 0.14, 0.14, 0.13, 
## 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.14, 0.14, 0.14, 0.14, 0.14, 
## 0.13, 0.16, 0.16, 0.14, 0.13, 0.11, 0.08, 0.06, 0.05, 0.03, 0.03, 
## 0.03, 0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 0.05, 0.05, 0.06, 0.08, 
## 0.08, 0.08, 0.08, 0.1, 0.11, 0.11, 0.13, 0.14, 0.14, 0.14, -0.05, 
## -0.06, -0.06, -0.02, -0.05, -0.05, -0.02, 0.05, 0.06, 0.1, 0.1, 
## 0.08, 0.06, 0.05, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 
## 0, 0, -0.02, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.03, 
## -0.02, -0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 0.03, 0.05, 0.06, 
## 0.08, 0.08, 0.08, 0.08, 0.08, 0.05, 0.05, 0.03, 0.02, 0, 0, 0.02, 
## 0.03, 0.03, 0.03, 0.02, -0.05, 0.02, 0.03, 0.03, 0.03, 0.02, 
## 0, -0.02, -0.03, -0.1, -0.05, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.02, 0, 0.05, 0.05, 0.05, 0.06, 0.06, 0.08, 0.08, 0.08, 0.05, 
## 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.06, 0.06, 0.08, 0.08, 
## 0.1, 0.08, 0.06, 0.05, 0.05, 0.03, 0.02, 0, -0.02, -0.03, -0.03, 
## -0.02, -0.03, 0.02, -0.02, -0.03, 0.06, 0.06, 0.06, 0.03, 0.02, 
## -0.02, -0.03, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
## -0.06, -0.06, -0.06, -0.08, -0.06, -0.06, -0.05, -0.02, 0, 0, 
## 0, 0.02, 0.03, 0.03, 0.08, 0.08, 0.08, 0.05, -0.02, 0.02, 0.05, 
## 0.05, 0.06, 0.06, 0.06, 0.03, 0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 
## 0.05, 0.08, 0.08, 0.08, 0.08, 0.06, 0.06, 0.03, 0.02, 0.02, 0, 
## 0, 0, -0.02, -0.03, -0.02, -0.02, -0.02, 0, -0.02, -0.05, -0.03, 
## 0.03, 0.06, 0.1, 0.14, 0.13, 0.13, 0.1, 0.08, 0.05, 0.03, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0, -0.02, -0.02, 
## 0.03, 0.05, -0.03, -0.06, -0.08, -0.08, -0.08, -0.08, -0.06, 
## -0.03, -0.02, -0.03, -0.02, 0, 0, 0.02, 0.05, 0.03, 0.02, -0.02, 
## 0, 0.02, 0.03, 0.1, 0.11, 0.11, 0.13, 0.05, 0.05, 0.03, 0.03, 
## 0.05, 0.02, 0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, 
## 0, 0.02, 0.03, 0.05, 0.06, 0.06, 0.05, 0.05, 0.05, 0.03, 0.02, 
## 0.03, 0.05, 0.03, 0.03, 0.03, 0.03, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.03, 0, 0, 0, 0, 0, -0.02, -0.05, -0.03, -0.02, 0.1, 
## 0.13, 0.13, 0.08, 0.06, 0.02, 0.02, 0, -0.03, -0.03, -0.05, -0.1, 
## -0.11, -0.1, -0.11, -0.1, -0.1, -0.03, 0, 0.02, 0.05, 0.06, 0.06, 
## 0.08, 0.1, 0.08, 0.08, 0.06, 0.05, 0.03, 0.03, 0.02, 0.03, 0.05, 
## 0.06, 0.06, 0.06, 0.1, 0.1, 0.1, 0.1, 0.05, 0.03, 0.02, 0, 0, 
## 0, 0, 0, 0, 0, 0, -0.02, -0.05, -0.03, -0.02, 0, -0.02, -0.02, 
## 0, 0, -0.02, 0, 0.02, 0.03, 0.03, 0, -0.02, -0.05, -0.02, -0.02, 
## 0.02, 0.05, 0.13, 0.14, 0.14, 0.11, 0.08, 0.03, 0.02, 0.02, -0.05, 
## -0.05, -0.05, -0.06, -0.08, -0.08, -0.1, -0.1, -0.1, -0.1, -0.1, 
## -0.1, -0.08, -0.08, 0, 0, -0.02, -0.03, -0.05, -0.05, 0, 0.03, 
## 0.05, 0.06, 0.06, 0.06, 0.05, 0.05, 0.05, 0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 
## 0.02, 0, 0, -0.03, -0.05, -0.06, -0.06, -0.05, 0, 0.02, 0.06, 
## 0.16, 0.13, 0.11, 0.1, 0.08, 0.06, 0.05, 0.02, 0.02, 0, -0.06, 
## -0.06, -0.06, -0.05, -0.05, -0.05, -0.02, 0, 0.03, 0.03, 0.05, 
## 0.05, 0.05, 0.05, 0.05, 0.03, 0.03, 0.03, 0.03, 0, 0.03, 0.03, 
## 0.06, 0.08, 0.1, 0.11, 0.08, 0.05, 0.03, 0.02, 0.02, 0, 0, 0, 
## 0, 0, 0, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.03, 0.02, 0, 0, 0, 0, 0.02, 0.03, 0.05, 0.03, 0, 0, -0.02, 
## -0.02, 0, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0, 0, 0.02, 0.03, 
## 0.05, 0.05, 0.05, 0.05, 0.1, 0.1, 0.06, 0, -0.05, -0.11, -0.13, 
## -0.14, -0.13, -0.13, -0.13, -0.13, -0.11, -0.11, -0.1, -0.1, 
## -0.11, -0.13, -0.11, -0.08, -0.02, 0, 0.03, 0.05, 0.05, 0.06, 
## 0.08, 0.11, 0.18, 0.18, 0.19, 0.21, 0.19, 0.16, 0.14, 0.13, 0.03, 
## 0.02, 0, -0.02, -0.03, -0.03, -0.05, -0.03, -0.02, 0, 0.06, 0.06, 
## 0.05, 0.05, 0.13, 0.14, 0.06, 0.05, 0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.02, -0.06, -0.08, -0.1, -0.08, -0.05, -0.05, -0.08, 
## -0.11, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.14, -0.13, 
## -0.13, -0.11, -0.1, -0.05, 0.02, 0.06, 0.08, 0.1, 0.1, 0.08, 
## 0.1, 0.03, 0.03, 0, 0, 0, 0.02, 0.03, 0.03, 0.02, 0.03, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0, -0.02, -0.03, -0.02, -0.02, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0, -0.02, 
## -0.02, -0.02, 0, 0, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 
## 0.03, 0.02, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.03, 0.03, 
## 0.03, 0.03, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0.02, 0.03, 0.03, 0.03, 0.02, 0, -0.02, -0.02, -0.02, 0, 0, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0, 0.02, 0.02, 0.02, 0, 
## 0, 0, 0, 0, 0.03, 0.06, 0.08, 0.1, 0.11, 0.1, 0.08, 0.1, 0.11, 
## 0.1, 0.06, -0.03, -0.06, -0.11, -0.11, -0.11, -0.1, -0.1, -0.05, 
## -0.05, -0.03, -0.02, 0.02, 0.03, 0.05, 0.08, 0.11, 0.08, 0.06, 
## 0.05, 0.05, 0.02, 0, 0, 0, 0, 0.02, 0.05, 0.05, 0.05, 0.05, 0.06, 
## 0.06, 0.05, 0.05, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 
## 0.02, 0.02, 0.05, 0.05, 0.05, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 
## 0, -0.02, 0, 0.03, 0.03, 0.03, 0, 0, 0, 0, 0.02, 0.02, 0.03, 
## 0.03, 0.05, 0.03, 0.03, 0.03, 0.03, 0.03, 0, 0, -0.02, 0, 0, 
## 0, 0.02, 0.03, 0.05, 0.06, 0.05, 0.02, -0.02, -0.06, -0.05, -0.03, 
## -0.02, -0.02, 0, 0.02, 0.02, 0, 0, 0, 0, 0, -0.02, 0, 0.02, 0.03, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.03, 
## 0.03, 0.03, 0.03, 0.02, 0.03, 0.03, 0.02, 0.02, 0, 0.02, 0.05, 
## 0.03, 0.02, 0.02, 0.03, 0.03, 0.03, 0, 0, 0.02, 0, -0.02, -0.02, 
## -0.03, -0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.03, 0.02, 
## 0, 0, 0.03, 0.05, 0.05, 0.05, -0.03, -0.02, 0.03, 0.03, 0.05, 
## 0.03, 0.02, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 
## 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.03, 0.05, 0.03, 0.02, 0, -0.02, -0.02, -0.03, 0.03, 0.05, 0.05, 
## 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0.03, 0.03, 0.02, 0.02, 0, -0.03, 
## -0.06, -0.03, -0.02, -0.02, -0.03, -0.02, 0.02, 0.03, 0.05, 0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0.02, 0.03, 0.05, 0.05, 0.08, 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.08, 0.08, 0.06, 0.03, 0, 0, -0.02, -0.03, -0.03, -0.03, 0, 
## 0, 0, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0.03, 0.06, 0.08, 
## 0.11, 0.1, 0.08, 0.06, 0, -0.03, -0.05, -0.03, -0.02, 0, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, 0.05, 0.08, 
## 0.1, 0.16, 0.16, 0.16, 0.14, 0.13, 0.13, 0.11, 0.11, 0.06, -0.02, 
## -0.05, -0.06, -0.06, -0.06, -0.05, -0.06, -0.08, -0.08, -0.08, 
## -0.08, -0.08, -0.06, -0.06, -0.05, -0.02, 0, 0.02, 0.13, 0.14, 
## 0.08, 0.06, 0.05, 0.03, 0.05, 0.06, 0.05, 0.05, 0.06, 0.05, 0.05, 
## 0, -0.02, -0.02, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, 0.02, 
## 0, 0, -0.03, -0.03, -0.03, -0.02, 0, -0.03, -0.03, -0.02, 0.03, 
## 0.06, 0.08, 0.08, 0.06, 0.06, 0.05, 0.03, 0, -0.02, -0.03, -0.05, 
## -0.06, -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.03, -0.02, -0.03, -0.03, 0.03, 0.06, 0.1, 0.18, 0.21, 0.19, 
## 0.13, 0.08, 0.06, 0.05, 0.06, 0.08, 0.06, 0.06, 0.06, 0.06, 0.05, 
## 0.05, 0.03, 0.02, -0.02, -0.02, 0, 0, 0, 0.02, 0, 0.02, 0.02, 
## 0.03, -0.02, -0.03, -0.05, 0, 0.02, 0.03, 0.03, 0.05, 0.03, 0.02, 
## 0.06, 0.05, 0.03, 0.02, 0.03, 0.03, -0.05, -0.06, -0.08, -0.11, 
## -0.13, -0.13, -0.1, -0.08, -0.06, -0.06, -0.05, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 0.02, 0.14, 0.18, 0.18, 
## 0.16, 0.13, 0.1, 0.08, 0.06, 0.08, 0.08, 0.08, 0.06, 0.02, -0.03, 
## -0.06, -0.06, -0.11, -0.06, -0.05, -0.02, -0.02, 0.02, 0.02, 
## -0.05, -0.06, -0.08, -0.08, -0.05, -0.03, -0.03, -0.02, -0.03, 
## -0.03, -0.02, 0, 0.02, 0.03, 0.05, 0.06, 0.08, 0.08, 0.1, 0.11, 
## 0.13, 0.1, -0.02, -0.03, -0.02, 0, 0, 0.02, 0, 0.02, 0.02, 0, 
## -0.02, -0.06, -0.06, 0, 0.16, 0.13, 0.1, 0.06, 0.03, 0.02, 0, 
## 0, 0, -0.02, -0.03, -0.03, 0.02, 0.02, 0.03, 0.05, 0.05, 0.03, 
## 0.05, 0.05, 0.05, 0.05, 0.05, 0.02, 0.03, 0.02, 0.02, -0.02, 
## -0.02, -0.06, -0.06, -0.05, -0.06, -0.03, 0.02, 0.06, 0.1, 0.08, 
## 0.08, 0.06, 0.02, -0.03, -0.06, -0.08, -0.03, -0.02, 0.02, 0.02, 
## 0.03, 0, 0, -0.02, 0, 0.05, 0.08, 0.18, 0.14, 0.08, 0.06, 0.05, 
## 0.05, 0.05, 0.05, 0.05, 0.03, 0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 
## 0.03, 0.05, 0.05, 0.06, 0.06, 0.06, 0.06, 0.05, 0.03, 0.05, 0.03, 
## 0.02, 0, 0.02, 0.02, 0.05, 0.05, -0.05, -0.05, -0.05, -0.02, 
## -0.02, 0, 0.03, 0.06, 0.06, 0.08, 0.06, 0.03, -0.03, -0.05, -0.06, 
## -0.08, -0.06, -0.03, -0.03, 0, 0.02, -0.02, -0.02, -0.05, -0.02, 
## -0.02, 0.02, 0.13, 0.14, 0.05, 0.02, 0.03, 0, -0.03, -0.02, -0.06, 
## -0.08, -0.08, -0.06, 0.02, 0.06, 0.06, 0.06, 0.08, 0.08, 0.1, 
## 0.08, 0.03, -0.06, -0.05, 0.06, 0.16, 0.16, 0.1, 0.05, -0.02, 
## -0.03, -0.02, 0, 0, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 
## 0, -0.02, -0.03, -0.03, -0.03, -0.02, 0.02, 0.05, 0.03, 0.02, 
## 0.02, 0.02, 0, 0, 0, -0.02, 0, 0, 0.1, 0.1, 0.06, 0.05, 0.03, 
## 0.02, 0.02, 0.03, 0.03, 0.03, 0.06, 0.08, 0.05, -0.02, -0.03, 
## -0.05, -0.06, -0.06, -0.06, -0.06, -0.05, -0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.03, 0.03, 0.05, 0.05, 0.03, 0.02, 0.02, 0.02, 0.14, 
## 0.14, 0.11, 0.05, 0.03, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.03, -0.03, -0.08, -0.13, -0.16, -0.05, -0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 0.02, 0.03, 0.03, 0.03, 
## 0.05, 0.06, 0.06, 0.06, 0.03, 0.03, 0.02, 0, 0, -0.02, 0, -0.02, 
## -0.02, -0.02, 0, 0, 0.02, 0.03, 0.02, 0.03, 0.03, 0.02, 0.02, 
## 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, 0.03, 0.03, 0.03, 
## 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, 0.03, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0.03, 0.03, 0.03, 0.02, 0.03, 0.02, 0.02, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 
## 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0.03, 0.05, 0.05, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.06, -0.05, -0.02, 
## 0, 0.11, 0.11, 0.1, 0.08, 0.03, -0.03, -0.05, -0.05, -0.05, -0.05, 
## -0.06, -0.08, -0.05, -0.03, -0.02, 0, 0.06, 0.1, 0.11, 0.1, 0.08, 
## 0.08, 0.06, 0, -0.06, -0.08, -0.06, -0.03, 0.02, 0.03, 0.05, 
## 0.06, 0.08, 0.06, 0.05, -0.02, -0.13, -0.06, -0.02, 0, 0.05, 
## 0.05, 0.03, 0.03, 0.05, 0.05, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
## 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0.06, 0.08, 0.1, 0.08, 0.05, 
## 0, -0.02, 0.1, 0.08, 0.06, 0, -0.03, -0.05, -0.06, -0.08, -0.02, 
## 0.02, 0.06, 0.11, 0.06, 0.03, -0.02, -0.03, 0, 0.02, 0.03, 0.03, 
## 0.05, 0.03, 0.03, 0.03, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 
## 0.02, 0, -0.02, 0, 0, -0.02, 0.02, 0.03, 0.05, 0.06, 0.06, 0.05, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 
## 0.03, 0.03, 0.02, 0.03, 0.02, 0.03, 0.02, 0, 0, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 0, 0, 0.02, 
## 0.03, 0.02, 0.03, 0.02, 0, -0.02, -0.03, -0.02, 0.02, 0.02, 0.03, 
## 0.03, 0.06, 0.13, 0.18, 0.18, 0.16, 0.1, 0.06, 0, -0.08, -0.1, 
## -0.11, -0.14, -0.13, -0.11, -0.1, -0.02, 0, 0.03, 0.08, 0.08, 
## 0.08, 0.08, 0.14, 0.16, 0.16, 0.18, 0.16, 0.11, 0.06, 0.03, 0, 
## -0.02, -0.02, 0, -0.02, -0.03, -0.03, -0.05, -0.1, -0.08, -0.1, 
## -0.1, -0.05, -0.05, -0.05, -0.03, -0.05, -0.06, -0.06, -0.06, 
## -0.08, -0.06, -0.05, -0.03, 0, 0.02, 0.03, 0.06, 0.11, 0.11, 
## 0.1, 0.08, 0.1, 0.11, 0.08, 0.06, 0.06, 0.03, 0, -0.02, -0.03, 
## -0.06, -0.08, -0.1, -0.1, -0.1, -0.08, -0.03, 0, 0.05, 0.13, 
## 0.13, 0.11, 0.05, 0, -0.03, -0.02, -0.02, 0.02, 0.02, 0.02, 0, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, -0.06, -0.03, -0.03, 
## -0.05, -0.02, -0.03, 0.03, 0, -0.11, -0.08, 0.13, 0.14, 0.13, 
## 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.08, 0.06, 0.06, 0.05, -0.06, 
## -0.08, -0.06, -0.05, -0.03, -0.05, -0.06, -0.06, -0.03, -0.03, 
## -0.03, -0.02, 0.05, 0.06, 0.13, -0.02, 0.02, 0.05, 0.05, 0.05, 
## 0.03, 0, -0.03, -0.05, -0.05, -0.06, -0.08, -0.08, -0.1, -0.11, 
## -0.13, -0.11, -0.06, -0.11, -0.13, -0.05, 0, 0.03, 0.08, 0.13, 
## 0.18, 0.21, 0.21, 0.21, 0.19, 0.19, 0.13, 0.1, 0.05, 0, 0, -0.02, 
## -0.08, -0.06, -0.05, -0.03, -0.02, -0.02, -0.02, 0.05, 0.08, 
## 0.1, 0.03, 0.05, 0.05, 0.05, 0.05, 0.05, 0, -0.03, -0.06, -0.1, 
## -0.11, -0.02, -0.02, -0.06, -0.11, -0.1, 0.02, 0.14, 0.18, 0.08, 
## 0.08, 0.1, 0.11, 0.13, 0.14, 0.16, 0.16, 0.16, 0.16, 0.13, 0.02, 
## -0.06, -0.1, -0.1, -0.11, -0.11, -0.11, -0.11, -0.11, -0.08, 
## -0.08, 0.14, 0.13, 0.02, 0.08, 0.08, 0.08, 0.03, 0, -0.05, -0.06, 
## 0, -0.02, -0.03, -0.08, -0.1, -0.1, -0.06, -0.05, -0.05, -0.03, 
## -0.02, 0.03, 0.05, 0.06, 0.06, 0.06, 0.06, 0.08, 0.06, 0.08, 
## 0.08, 0.08, 0.08, 0.08, 0.06, 0.05, -0.05, -0.06, -0.03, -0.05, 
## -0.03, -0.06, -0.05, -0.03, 0.02, 0.05, 0.08, 0.11, 0.11, 0.1, 
## 0.08, 0.03, 0, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.06, -0.08, -0.06, -0.1, -0.08, -0.06, -0.13, 
## -0.14, -0.11, -0.1, 0.1, 0.14, 0.14, 0.11, 0.11, 0.13, 0.13, 
## 0.14, 0.14, 0.14, 0.08, 0.03, -0.02, -0.02, -0.03, -0.03, -0.05, 
## -0.02, 0.02, 0.03, 0.05, 0.08, 0.11, 0.11, 0.11, 0.05, -0.05, 
## -0.05, -0.05, -0.03, -0.03, -0.05, -0.11, -0.1, -0.11, -0.11, 
## -0.05, -0.03, -0.03, -0.11, -0.11, -0.11, -0.1, -0.06, -0.05, 
## -0.02, 0.05, 0.08, 0.14, 0.16, 0.19, 0.21, 0.14, 0.1, 0.08, 0.1, 
## 0.11, 0.13, 0.16, 0.18, 0.18, 0.18, 0.16, 0.14, 0.13, 0.06, -0.05, 
## -0.06, -0.08, -0.1, -0.14, -0.13, -0.11, -0.11, -0.13, -0.13, 
## -0.11, -0.05, 0.11, 0.1, 0.06, 0.02, 0, -0.02, -0.02, -0.03, 
## -0.03, -0.05, -0.05, -0.06, -0.06, -0.06, -0.06, -0.05, -0.05, 
## -0.05, -0.08, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.02, -0.02, 0.03, 0.11, 0.11, 0.13, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.03, 0, -0.06, -0.06, -0.08, -0.1, -0.1, 
## -0.08, 0.1, 0.16, 0.19, 0.22, 0.06, 0.05, 0.1, 0.11, 0.08, 0.05, 
## 0.03, 0, -0.06, -0.1, -0.08, -0.05, -0.05, -0.05, -0.05, -0.06, 
## -0.06, -0.08, -0.06, -0.05, -0.02, 0.03, 0.05, 0.03, 0.06, 0.06, 
## 0.06, 0.1, 0.14, 0.18, 0.21, 0.14, 0.1, 0.05, 0, -0.11, -0.11, 
## -0.11, -0.1, -0.1, -0.1, -0.1, -0.05, -0.02, 0.16, 0.14, 0.13, 
## 0.1, 0.08, 0.05, 0, -0.02, 0.03, 0.06, 0.13, 0.14, 0.14, 0.14, 
## 0.13, 0.08, 0.03, -0.02, -0.02, -0.05, -0.03, 0, -0.02, -0.02, 
## -0.05, -0.06, -0.11, -0.13, -0.16, -0.18, 0.05, 0.14, 0.27, 0.14, 
## 0.13, 0.06, 0.03, -0.06, -0.1, -0.1, -0.08, -0.08, -0.08, -0.08, 
## -0.06, -0.05, -0.03, -0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 0.03, 
## 0.03, 0.06, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 
## 0.03, 0.03, 0.05, 0, -0.03, -0.06, 0.02, 0, 0.02, 0.02, 0.06, 
## 0.08, 0.08, 0.06, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 0.02, 
## 0, -0.02, -0.02, -0.02, -0.03, -0.02, 0, 0.05, 0.05, 0.05, 0.03, 
## 0.05, 0.05, 0.03, 0, 0, 0.02, 0.08, 0.05, 0.03, 0.02, 0.02, 0, 
## 0.02, 0.02, 0.02, 0.03, 0.03, 0.06, 0.08, 0.06, 0.05, 0.05, 0.05, 
## 0.02, 0, -0.02, -0.03, 0.08, 0.08, 0.08, 0.13, 0.14, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.1, 0.13, 0.14, 0.14, 0.14, 0.13, 
## 0.13, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 
## 0.13, 0.11, 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.11, 
## 0.13, 0.13, 0.11, 0.11, 0.1, 0.1, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.1, 0.1, 0.08, 0.08, 0.1, 0.11, 0.11, 0.06, 0.06, 0.06, 0.08, 
## 0.08, 0.1, 0.11, 0.11, 0.1, 0.1, 0.1, 0.13, 0.13, 0.13, 0.14, 
## 0.1, 0.08, 0.1, 0.1, 0.1, 0.13, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.08, 0.05, 0.06, 0.1, 0.13, 0.13, 0.13, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.14, 0.16, 0.08, 0.08, 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 
## 0.1, 0.11, 0.13, 0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 0.13, 0.13, 
## 0.11, 0.08, 0.06, 0.05, 0.05, 0.05, 0.1, 0.08, 0.08, 0.08, 0.11, 
## 0.11, 0.13, 0.14, 0.13, 0.11, 0.1, 0.1, 0.05, 0.02, 0.02, 0, 
## 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0.03, 
## 0.03, 0.03, 0.05, 0.05, 0.06, 0.06, 0.08, 0.08, 0.08, 0.08, 0.11, 
## 0.11, 0.11, 0.1, 0.08, 0.14, 0.08, 0.06, 0.13, 0.14, 0.19, 0.24, 
## 0.11, 0.06, 0.05, 0.06, 0.08, 0.06, 0.13, 0.14, 0.16, 0.24, 0.08, 
## -0.02, 0.06, 0.11, 0.11, 0.05, 0.13, 0.13, 0.13, 0.13, 0.16, 
## 0.16, 0.16, 0.14, 0.16, 0.16, 0.14, 0.14, 0.13, 0.11, 0.1, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.03, 0.05, 0.05, 
## 0.06, 0.06, 0.19, 0.26, 0.34, 0.39, 0.77, 0.77, 0.63, 0.16, 0.1, 
## -0.31, -0.35, -0.35, -0.37, -0.37, -0.37, -0.37, -0.35, -0.29, 
## -0.21, -0.16, -0.03, 0, 0.03, 0.05, 0.06, 0.08, 0.08, 0.1, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.13, 0.13, 0.13, 0.16, 0.18, 0.18, 0.18, 0.16, 0.13, 0.1, 
## 0.08, 0.05, 0.03, -0.02, -0.06, -0.1, -0.1, -0.1, -0.1, -0.08, 
## -0.06, -0.1, 0.06, 0.06, 0.1, 0.1, 0.06, 0.05, 0.05, 0.05, 0.06, 
## 0.14, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.14, 0.06, 0.02, 
## 0.03, 0.03, 0.03, 0.03, 0.05, 0.05, 0.06, 0.1, 0.1, 0.13, 0.11, 
## 0.13, 0.14, 0.14, 0.14, 0.18, 0.19, 0.18, 0.19, 0.21, 0.19, 0.18, 
## 0.16, 0.13, 0.11, 0.1, 0.11, 0.1, 0.11, 0.1, 0.08, 0.08, 0.06, 
## 0.03, 0, -0.03, -0.02, 0, 0.02, 0.06, 0.1, 0.08, 0.1, 0.1, 0.11, 
## 0.16, 0.19, 0.22, 0.26, 0.19, 0.18, 0.05, 0.03, 0.02, 0, 0.02, 
## 0.02, 0.02, 0.06, 0.1, 0.11, 0.1, 0.08, 0.06, 0.02, 0.02, 0.02, 
## 0.02, 0.16, 0.21, 0.21, 0.21, 0.21, 0.19, 0.19, 0.18, 0.16, 0.14, 
## 0.16, 0.13, 0.14, 0.14, 0.13, 0.14, 0.14, 0.1, 0.08, 0.06, 0.06, 
## 0.05, 0.05, 0.03, 0.03, 0.08, 0.1, 0.08, 0.11, 0.08, 0.06, 0.06, 
## 0.06, 0.08, 0.08, 0.06, 0.06, 0.08, 0.03, 0.05, 0.1, 0.16, 0.18, 
## 0.22, 0.22, 0.22, 0.22, 0.18, 0.14, 0.18, 0.16, 0.14, 0.14, 0.19, 
## 0.16, 0.16, 0.14, 0.14, 0.14, 0.1, 0.08, 0.1, 0.11, 0.11, 0.11, 
## 0.08, 0.06, 0.05, 0.03, 0.03, 0.05, 0.06, 0.1, 0.11, 0.13, 0.14, 
## 0.14, 0.14, 0.13, 0.13, 0.1, 0.1, 0.1, 0.08, 0.08, 0.06, 0.06, 
## 0.06, 0.08, 0.1, 0.13, 0.16, 0.14, 0.14, 0.14, 0.18, 0.19, 0.22, 
## 0.24, 0.21, 0.14, 0.1, 0.1, 0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 
## 0.06, 0.06, 0.08, 0.08, 0.08, 0.1, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.14, 0.14, 0.13, 0.16, 0.14, 0.14, 0.13, 0.14, 0.19, 0.19, 0.21, 
## 0.19, 0.18, 0.19, 0.18, 0.18, 0.14, 0.13, 0.08, 0, 0.02, 0.02, 
## 0.02, 0.06, 0.08, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.13, 0.14, 0.16, 0.18, 0.19, 0.19, 
## 0.19, 0.18, 0.16, 0.16, 0.1, 0.11, 0.13, 0.16, 0.16, 0.16, 0.18, 
## 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.18, 0.16, 0.08, 0.05, 
## 0.05, 0.08, 0.1, 0.1, 0.08, 0.06, 0.1, 0.1, 0.14, 0.18, 0.16, 
## 0.14, 0.13, 0.1, 0.1, 0.08, 0.06, 0.06, 0.06, 0.08, 0.1, 0.1, 
## 0.1, 0.13, 0.18, 0.18, 0.19, 0.1, 0.08, 0.11, 0.13, 0.13, 0.13, 
## 0.13, 0.08, 0.08, 0.08, 0.18, 0.18, 0.22, 0.22, 0.22, 0.24, 0.22, 
## 0.21, 0.14, 0.13, 0.1, 0.05, 0.03, 0, -0.02, -0.02, 0.02, 0.03, 
## 0.08, 0.1, 0.13, 0.14, 0.13, 0.13, 0.13, 0.1, 0.1, 0.1, 0.1, 
## 0.05, 0.03, 0.03, 0.06, 0.18, 0.18, 0.16, 0.14, 0.14, 0.14, 0.16, 
## 0.14, 0.13, 0.13, 0.11, 0.08, 0.08, 0.06, 0.03, 0.08, 0.05, 0.06, 
## 0.06, 0.06, 0.06, 0.1, 0.1, 0.08, 0.11, 0.14, 0.14, 0.18, 0.18, 
## 0.1, 0.08, 0.11, 0.13, 0.16, 0.16, 0.16, 0.11, 0.05, 0.05, 0.03, 
## 0.03, 0.02, -0.02, -0.03, -0.02, 0.13, 0.14, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.08, 0.14, 0.16, 0.16, 0.16, 0.16, 0.19, 0.21, 
## 0.18, 0.16, 0.16, 0.14, 0.13, 0.11, 0.06, 0.05, 0.05, 0.03, -0.02, 
## 0, 0, 0.02, 0.03, 0.03, 0.03, 0.05, 0.05, 0.08, 0.08, 0.1, 0.16, 
## 0.14, 0.14, 0.1, 0.08, 0.1, 0.11, 0.13, 0.14, 0.16, 0.16, 0.14, 
## 0.14, 0.13, 0.14, 0.14, 0.16, 0.19, 0.18, 0.14, 0.02, -0.02, 
## 0.03, 0.06, 0.08, 0.08, 0.16, 0.18, 0.19, 0.19, 0.19, 0.19, 0.14, 
## 0.13, 0.13, 0.13, 0.08, 0.13, 0.13, 0.14, 0.16, 0.18, 0.18, 0.19, 
## 0.19, 0.22, 0.22, 0.22, 0.19, 0.19, 0.18, 0.16, 0.14, 0.16, 0.14, 
## 0.14, 0.11, 0.1, 0.05, 0.05, 0.05, 0.03, 0.05, 0.03, 0.05, 0.06, 
## 0.06, 0.08, 0.14, 0.13, 0.18, 0.16, 0.13, 0.11, 0.13, 0.11, 0.13, 
## 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.13, 0.11, 0.1, 0.06, 
## 0.06, 0.06, 0.1, 0.1, 0.11, 0.16, 0.18, 0.18, 0.13, 0.11, 0.11, 
## 0.08, 0.06, 0.05, 0.02, 0.03, 0.03, 0.05, 0.06, 0.08, 0.08, 0.18, 
## 0.18, 0.13, 0.11, 0.08, 0.05, 0.08, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.08, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.06, 0.06, 0.08, 0.1, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.11, 0.1, 0.1, 0.11, 
## 0.1, 0.11, 0.13, 0.14, 0.14, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.14, 0.13, 0.13, 
## 0.11, 0.11, 0.1, 0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.1, 0.1, 
## 0.14, 0.14, 0.13, 0.13, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.14, 0.14, 0.11, 0.1, 0.08, 0.08, 0.08, 
## 0.08, 0.08, 0.06, 0.06, 0.08, 0.1, 0.11, 0.13, 0.14, 0.14, 0.14, 
## 0.14, 0.08, 0.1, 0.14, 0.18, 0.18, 0.19, 0.19, 0.19, 0.18, 0.16, 
## 0.13, 0.08, 0.08, 0.1, 0.13, 0.13, 0.13, 0.13, 0.14, 0.16, 0.16, 
## 0.16, 0.16, 0.18, 0.18, 0.18, 0.18, 0.18, 0.18, 0.16, 0.14, 0.16, 
## 0.14, 0.14, 0.13, 0.1, 0.08, 0.1, 0.08, 0.08, 0.08, 0.06, 0.06, 
## 0.08, 0.11, 0.16, 0.18, 0.18, 0.18, 0.16, 0.14, 0.14, 0.14, 0.13, 
## 0.08, 0.05, 0.14, 0.13, 0.13, 0.1, 0.08, 0.08, 0.08, 0.1, 0.08, 
## 0.14, 0.19, 0.18, 0.18, 0.16, 0.16, 0.16, 0.18, 0.18, 0.16, 0.16, 
## 0.14, 0.18, 0.16, 0.13, 0.11, 0.08, 0.08, 0.06, 0.08, 0.08, 0.06, 
## 0.06, 0.06, 0.06, 0.08, 0.08, 0.08, 0.08, 0.1, 0.08, 0.1, 0.08, 
## 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 0.1, 0.08, 0.1, 0.16, 0.14, 
## 0.14, 0.13, 0.11, 0.08, 0.1, 0.06, 0.05, 0.05, 0.02, 0, 0.02, 
## 0, 0.05, 0.06, 0.11, 0.11, 0.1, 0.11, 0.11, 0.1, 0.11, 0.05, 
## 0.03, 0.03, 0.03, 0.05, 0.06, 0.08, 0.11, 0.1, 0.1, 0.13, 0.16, 
## 0.16, 0.21, 0.14, 0.1, 0.1, 0.06, 0.03, 0.03, 0.02, 0.14, 0.14, 
## 0.13, 0.14, 0.13, 0.13, 0.11, 0.11, 0.13, 0.14, 0.16, 0.18, 0.19, 
## 0.21, 0.19, 0.18, 0.18, 0.08, 0.03, -0.02, -0.05, -0.11, -0.13, 
## -0.13, -0.1, -0.05, -0.13, -0.21, -0.22, 0.06, 0.1, 0.11, 0.1, 
## 0.06, 0.06, 0.02, 0, 0, 0, 0, 0, -0.02, 0, -0.02, -0.02, -0.03, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.03, 
## -0.05, -0.05, -0.05, -0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 
## 0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0, -0.02, -0.03, 
## -0.02, 0, 0.03, 0.08, 0.06, 0.06, 0.03, 0.02, 0.02, 0.02, 0.05, 
## 0.03, 0, 0, 0.02, 0.05, 0.05, 0.03, 0, 0, -0.03, -0.08, -0.16, 
## -0.1, -0.03, 0.11, 0.14, 0.16, 0.14, 0.13, 0.03, 0.05, 0.03, 
## 0, -0.05, -0.08, -0.1, -0.1, -0.1, -0.1, -0.1, -0.06, -0.03, 
## -0.03, -0.03, -0.02, -0.02, 0, 0.02, 0.02, 0, 0, -0.02, -0.02, 
## 0.02, 0.03, 0.03, 0.03, 0.02, -0.05, -0.06, -0.06, -0.03, -0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.06, 0, -0.02, -0.02, 
## -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.05, 
## 0.05, 0.06, 0.06, 0.06, 0.05, 0.03, 0.02, 0.02, 0, 0, 0, 0, 0.02, 
## 0.02, -0.05, -0.03, -0.03, 0.03, 0.06, 0.06, 0.08, 0.08, 0.08, 
## 0.06, 0.05, 0.03, 0.03, 0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 0.05, 
## 0.05, -0.06, -0.06, -0.08, -0.06, -0.06, -0.05, -0.05, -0.05, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, 0.03, 0.03, 
## -0.02, -0.03, -0.06, -0.06, 0, 0.06, 0.1, 0.05, 0.05, 0.06, 0, 
## -0.03, -0.05, -0.03, -0.02, -0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.08, -0.1, -0.1, -0.06, 0.02, 0.08, 0.1, 0.06, 0.03, 0, 0, 
## 0.02, 0.03, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.05, 0.05, 
## 0.05, 0.06, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, 0.02, 0.03, 
## 0.06, 0.1, 0.08, 0.08, 0.06, -0.55, -0.53, -0.5, -0.45, -0.43, 
## -0.32, -0.32, -0.32, -0.34, -0.34, -0.37, -0.39, -0.42, -0.45, 
## -0.45, -0.48, -0.5, -0.48, -0.48, -0.45, -0.43, -0.43, -0.43, 
## -0.43, -0.43, -0.43, -0.47, -0.48, -0.51, -0.53, -0.53, -0.53, 
## -0.55, -0.55, -0.5, -0.48, -0.4, -0.37, -0.35, -0.34, -0.39, 
## -0.39, -0.55, -0.56, -0.56, -0.53, -0.51, -0.39, -0.35, -0.31, 
## -0.34, -0.35, -0.37, -0.4, -0.43, -0.45, -0.45, -0.48, -0.48, 
## -0.5, -0.48, -0.51, -0.39, -0.37, -0.34, -0.35, -0.37, -0.37, 
## -0.39, -0.39, -0.43, -0.47, -0.48, -0.51, -0.53, -0.51, -0.53, 
## -0.53, -0.53, -0.45, -0.43, -0.37, -0.37, -0.4, -0.42, -0.43, 
## -0.45, -0.45, -0.45, -0.47, -0.47, -0.45, -0.45, -0.47, -0.47, 
## -0.45, -0.45, -0.47, -0.42, -0.42, -0.42, -0.42, -0.42, -0.42, 
## -0.42, -0.45, -0.47, -0.45, -0.43, -0.4, -0.48, -0.5, -0.02, 
## 0, 0.06, 0.06, 0.05, 0.05, 0, 0.02, 0.02, 0.05, 0.05, 0.05, 0.05, 
## 0.05, 0.05, 0.05, 0.06, 0.06, 0.06, 0.05, 0.05, 0.03, 0.02, 0.02, 
## 0.02, 0.03, 0.03, 0.03, 0, 0, 0, -0.42, -0.42, -0.4, -0.42, -0.4, 
## -0.39, -0.39, -0.39, -0.4, -0.5, -0.55, -0.56, -0.56, -0.59, 
## -0.63, -0.63, -0.58, -0.58, -0.63, -0.61, -0.53, -0.53, -0.51, 
## -0.39, -0.31, -0.29, -0.27, -0.32, -0.34, -0.34, -0.34, -0.34, 
## -0.32, -0.35, -0.47, -0.5, -0.5, -0.51, -0.5, -0.43, -0.42, -0.42, 
## -0.43, -0.42, -0.39, -0.37, -0.37, -0.39, -0.4, -0.37, -0.34, 
## -0.35, -0.37, -0.39, -0.47, -0.45, -0.47, -0.48, -0.5, -0.47, 
## -0.45, -0.43, -0.43, -0.5, -0.5, -0.5, -0.51, -0.56, -0.58, -0.58, 
## -0.58, -0.56, -0.55, -0.4, -0.37, -0.31, -0.26, -0.26, -0.29, 
## -0.29, -0.29, -0.32, -0.34, -0.34, -0.34, -0.35, -0.39, -0.45, 
## -0.48, -0.48, -0.47, -0.45, -0.43, -0.42, -0.42, -0.43, -0.43, 
## -0.5, -0.51, -0.53, -0.61, -0.61, -0.55, -0.56, -0.59, -0.58, 
## -0.56, -0.56, -0.56, -0.59, -0.58, -0.5, -0.47, -0.4, -0.27, 
## -0.27, -0.29, -0.26, -0.26, -0.32, -0.34, -0.34, -0.34, -0.32, 
## -0.35, -0.39, -0.45, -0.51, -0.53, -0.53, -0.47, -0.48, -0.45, 
## -0.42, -0.39, -0.37, -0.39, -0.4, -0.4, -0.48, -0.5, -0.48, -0.4, 
## -0.4, -0.4, -0.39, -0.39, -0.34, -0.42, -0.45, -0.48, -0.53, 
## -0.59, -0.59, -0.58, -0.63, -0.63, -0.63, -0.63, -0.61, -0.55, 
## -0.48, -0.45, -0.4, -0.37, -0.34, -0.32, -0.29, -0.27, -0.26, 
## -0.24, -0.43, -0.67, -0.67, -0.67, -0.61, -0.51, -0.47, -0.4, 
## -0.34, -0.35, -0.37, -0.35, -0.37, -0.4, -0.42, -0.42, -0.42, 
## -0.43, -0.43, -0.45, -0.45, -0.43, -0.43, -0.42, -0.43, -0.45, 
## -0.45, -0.43, -0.43, -0.43, -0.45, -0.45, -0.51, -0.58, -0.61, 
## -0.64, -0.63, -0.61, -0.56, -0.5, -0.42, -0.29, -0.27, -0.27, 
## -0.27, -0.31, -0.29, -0.24, -0.34, -0.39, -0.5, -0.56, -0.58, 
## -0.58, -0.56, -0.45, -0.43, -0.43, -0.4, -0.43, -0.5, -0.5, -0.45, 
## -0.37, -0.35, -0.35, -0.37, -0.42, -0.42, -0.39, -0.43, -0.47, 
## -0.48, -0.45, -0.4, -0.37, -0.35, -0.35, -0.35, -0.39, -0.42, 
## -0.45, -0.47, -0.56, -0.55, -0.5, -0.43, -0.27, -0.24, -0.18, 
## -0.22, -0.24, -0.35, -0.42, -0.48, -0.5, -0.5, -0.51, -0.5, -0.47, 
## -0.45, -0.43, -0.42, -0.35, -0.35, -0.37, -0.37, -0.45, -0.48, 
## -0.67, -0.69, -0.64, -0.56, -0.45, -0.39, -0.34, -0.29, -0.29, 
## -0.24, -0.22, -0.26, -0.22, -0.22, -0.22, -0.24, -0.29, -0.32, 
## -0.42, -0.45, -0.48, -0.5, -0.51, -0.5, -0.5, -0.5, -0.43, -0.35, 
## -0.34, -0.34, -0.35, -0.39, -0.43, -0.45, -0.45, -0.43, -0.4, 
## -0.4, -0.42, -0.42, -0.45, -0.45, -0.43, -0.39, -0.37, -0.39, 
## -0.4, -0.42, -0.5, -0.66, -0.71, -0.74, -0.79, -0.79, -0.79, 
## -0.77, -0.75, -0.72, -0.32, -0.27, -0.19, -0.16, -0.13, -0.13, 
## -0.1, -0.1, -0.22, -0.32, -0.42, -0.55, -0.5, -0.37, -0.42, -0.42, 
## -0.4, -0.71, -0.71, -0.67, -0.27, -0.27, -0.27, -0.24, -0.24, 
## -0.22, -0.22, -0.24, -0.27, -0.32, -0.45, -0.51, -0.58, -0.59, 
## -0.58, -0.58, -0.58, -0.47, -0.43, -0.4, -0.35, -0.31, -0.39, 
## -0.37, -0.32, -0.35, -0.37, -0.4, -0.39, -0.39, -0.4, -0.39, 
## -0.37, -0.37, -0.39, -0.39, -0.39, -0.4, -0.4, -0.43, -0.45, 
## -0.47, -0.48, -0.48, -0.51, -0.53, -0.67, -0.66, -0.55, -0.5, 
## -0.22, -0.21, -0.14, -0.13, -0.11, -0.11, -0.13, -0.19, -0.31, 
## -0.35, -0.39, -0.43, -0.58, -0.58, -0.56, -0.53, -0.51, -0.48, 
## -0.48, -0.5, -0.47, -0.48, -0.48, -0.4, -0.37, -0.32, -0.27, 
## -0.27, -0.27, -0.27, -0.26, -0.24, -0.27, 0, 0.11, 0.13, 0.14, 
## 0.13, 0.11, 0.11, 0.08, 0.03, 0.03, 0.02, -0.03, -0.02, -0.02, 
## -0.03, -0.05, -0.05, -0.05, 0, 0.02, 0.05, 0.06, 0.08, 0.05, 
## 0.02, 0.02, 0.08, 0.08, 0.08, 0.08, 0.06, 0.05, 0.03, -0.02, 
## -0.02, -0.05, -0.06, -0.05, -0.05, -0.05, -0.06, -0.06, 0.08, 
## 0.13, 0.14, 0.14, 0.13, 0.06, 0.03, 0, 0, 0.02, 0.03, 0.06, 0.08, 
## 0.08, 0.05, 0.03, 0.02, 0.02, 0.02, 0.02, 0.03, 0, 0, -0.02, 
## 0.03, 0.06, 0.13, 0.16, 0.16, 0.14, 0.08, 0.03, -0.02, -0.02, 
## -0.03, -0.05, -0.05, 0, 0.03, 0.06, 0.06, 0.03, 0.03, 0.03, 0.02, 
## 0.02, -0.02, 0, 0, 0, -0.02, -0.02, 0, 0.03, 0.08, 0.05, 0.03, 
## -0.03, -0.03, -0.05, -0.05, -0.02, 0, 0.02, 0.03, 0.05, 0.02, 
## 0, -0.02, -0.02, -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, 
## 0, 0.02, 0.03, 0.03, 0.05, -0.03, -0.1, -0.1, -0.08, -0.08, -0.08, 
## -0.06, -0.06, -0.05, -0.03, -0.02, -0.02, 0, 0, 0, -0.02, -0.05, 
## -0.06, -0.03, -0.02, 0.08, 0.1, 0.1, 0.08, 0.06, 0.05, 0.06, 
## 0.06, 0.06, 0.06, 0.08, 0.08, 0.06, 0.05, 0.03, -0.03, -0.03, 
## -0.05, 0, 0.03, 0.03, 0.06, 0.05, 0.08, 0.1, 0.08, 0.06, 0.06, 
## 0.05, 0.02, -0.02, -0.1, -0.1, 0, 0.03, 0.06, 0.1, 0.13, 0.11, 
## 0.11, 0.11, 0.05, 0.03, 0.02, -0.05, -0.06, -0.02, 0.05, 0.05, 
## 0.05, 0.03, -0.03, -0.06, -0.06, -0.06, -0.06, -0.03, -0.02, 
## -0.03, 0.02, 0.02, 0, -0.02, -0.03, -0.05, -0.05, 0, -0.02, -0.03, 
## -0.08, -0.08, -0.08, -0.05, -0.03, -0.02, 0.02, 0.02, 0.03, 0.02, 
## 0, -0.03, -0.05, -0.08, -0.08, 0.03, 0.14, 0.14, 0.14, 0.03, 
## -0.03, -0.05, -0.05, 0, 0.02, 0.05, 0.05, 0.05, 0.05, 0.02, 0.02, 
## 0.02, 0.02, -0.02, -0.03, -0.05, -0.06, -0.08, -0.1, -0.11, -0.06, 
## -0.06, -0.1, -0.08, -0.08, -0.1, -0.11, -0.13, -0.1, -0.05, 0, 
## 0.11, 0.1, 0.08, 0.08, 0.08, 0.1, 0.13, 0.14, 0.14, 0.14, 0.08, 
## 0.05, -0.06, -0.08, -0.08, -0.06, -0.02, 0.03, 0.08, 0.11, 0.1, 
## 0.03, 0.11, 0.14, 0.21, 0.21, 0.16, 0.06, -0.03, -0.08, -0.1, 
## -0.13, -0.05, 0.03, 0.06, 0.11, 0.11, 0.11, 0.1, 0.08, 0.08, 
## -0.05, -0.06, -0.08, -0.08, -0.05, -0.06, -0.06, -0.06, -0.08, 
## -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.05, 0.03, 
## 0.05, 0.06, 0.08, 0.08, 0.11, 0.13, 0.11, 0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.03, 0, 0, 0.05, 0.05, 0.06, 0.06, 0.05, 0.03, 
## 0.02, 0.02, 0.03, 0.05, 0.18, 0.16, 0.13, 0.11, 0.02, -0.02, 
## -0.03, -0.03, -0.02, 0.02, 0.03, 0.1, 0.16, 0.16, 0.16, 0.16, 
## 0.13, 0.08, 0.05, -0.02, -0.06, -0.1, -0.1, -0.03, -0.02, -0.05, 
## 0.05, 0.08, 0.06, 0.08, 0.1, 0.1, 0.08, 0.06, 0.05, 0.02, -0.05, 
## -0.06, -0.05, -0.03, -0.03, 0.02, 0.06, 0.08, 0.08, 0.08, 0.02, 
## 0.02, 0.08, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, -0.05, -0.05, -0.05, 
## -0.05, -0.06, -0.08, -0.08, -0.1, -0.11, -0.11, -0.13, -0.13, 
## -0.13, -0.13, -0.03, -0.02, 0, 0, 0.02, 0.03, 0.1, 0.11, 0.08, 
## 0.08, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.08, 0.06, 0.03, 0, 
## -0.05, -0.08, -0.05, 0, 0, 0, 0.02, 0.05, 0.05, 0.05, 0, 0, 0, 
## -0.02, 0, 0.05, 0.08, 0.06, 0.03, 0, -0.1, -0.1, -0.1, -0.11, 
## -0.13, -0.14, -0.13, -0.14, -0.13, -0.03, -0.02, -0.02, 0, 0, 
## 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0.02, 0.05, 0.08, 0.1, 0.1, 
## 0.1, 0.08, 0.08, 0.06, 0.03, 0.02, 0.02, 0.02, 0, -0.02, -0.02, 
## -0.02, -0.05, -0.05, -0.02, 0.03, 0.1, 0.08, 0.1, 0.11, 0.13, 
## 0.13, 0.11, 0.08, 0.05, 0.02, -0.03, -0.06, -0.06, -0.08, -0.1, 
## -0.11, -0.14, -0.14, -0.11, -0.11, -0.08, -0.08, -0.03, 0, 0.02, 
## 0.02, 0.08, 0.1, 0.11, 0.11, 0.02, -0.03, -0.02, -0.02, 0.02, 
## 0.03, 0.03, 0.08, 0.13, 0.08, 0.06, 0.03, -0.06, -0.06, -0.05, 
## -0.02, 0, 0.02, 0.02, 0.03, 0.05, 0.05, 0.08, 0.1, 0.1, 0.08, 
## 0.03, 0.03, 0.02, -0.03, -0.03, 0, 0.03, 0.03, 0.06, 0.1, 0.1, 
## 0.11, 0.14, 0.14, 0.13, 0.06, -0.02, -0.08, -0.11, -0.11, -0.06, 
## -0.02, 0.03, 0.03, 0.05, 0.03, 0.05, 0.05, 0.05, 0.05, 0.06, 
## 0.08, 0.08, 0.05, 0, 0, 0.05, -0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.06, -0.08, -0.06, -0.05, -0.05, -0.03, -0.02, 0, 0.02, 0, 
## 0.02, 0.06, 0.06, -0.02, -0.02, 0, 0, 0.03, 0.08, 0.05, 0.05, 
## 0.05, 0.05, 0.05, 0.03, 0.02, 0, 0, 0, 0.02, 0, 0.02, 0.05, 0.05, 
## 0.06, 0.06, 0.03, 0, 0, -0.02, -0.03, -0.05, -0.05, -0.05, -0.06, 
## -0.06, -0.06, -0.06, -0.05, -0.03, 0, 0.05, 0.06, 0.06, 0.06, 
## 0.03, 0.02, -0.02, 0.02, 0.06, 0.06, 0.03, 0.02, 0.02, 0.02, 
## 0.02, 0.03, 0.03, 0.03, 0.05, 0.05, -0.03, -0.05, -0.03, -0.02, 
## -0.02, 0, 0.02, 0, 0, -0.02, -0.03, -0.03, -0.02, 0, 0.1, 0.08, 
## 0.06, 0.05, 0.03, 0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
## 0, 0.02, 0.02, 0.03, 0.03, 0.1, 0.13, 0.14, 0.14, 0.1, 0.06, 
## 0.05, 0, -0.03, 0.02, -0.14, -0.11, -0.08, -0.03, 0, 0.08, 0.08, 
## 0.06, 0.05, 0.03, 0.03, -0.02, 0, 0, 0.03, 0.05, 0.05, 0.03, 
## 0.03, 0.03, 0.03, 0.05, 0.06, 0.08, 0.11, 0.16, 0.21, 0.19, 0.11, 
## 0.08, 0.03, 0, -0.03, -0.1, -0.08, -0.05, -0.05, -0.03, -0.03, 
## -0.02, 0, 0.02, 0.05, 0.08, 0.08, 0.06, 0.06, 0.05, 0.03, -0.02, 
## 0.02, 0.11, 0.13, 0.13, 0.11, 0.08, 0.08, -0.03, -0.08, -0.1, 
## -0.11, -0.11, -0.1, -0.1, -0.02, -0.03, -0.03, -0.03, -0.02, 
## 0.02, 0.03, 0.02, 0.02, 0.02, 0.05, 0.06, 0.03, 0.05, 0.05, 0.05, 
## 0.05, 0.06, 0.1, 0.06, -0.03, -0.05, -0.05, -0.05, 0.03, 0.03, 
## 0.03, 0.05, 0.08, 0.02, 0.05, 0.03, 0.02, 0, 0.05, 0.1, 0.1, 
## 0.03, 0, -0.05, -0.14, -0.16, -0.16, 0.1, 0.1, -0.02, -0.02, 
## 0.08, 0.14, 0.13, 0.1, 0.06, 0.06, 0.08, 0.1, 0.11, 0.13, 0.13, 
## 0.11, 0.11, 0.08, 0.06, 0.03, 0.02, 0.02, 0, 0, 0, 0.02, 0.05, 
## 0.11, 0, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 0, 
## 0.02, 0.03, 0.03, 0.02, -0.02, 0, 0.06, 0.06, 0.06, 0.05, 0.03, 
## 0.02, -0.02, -0.02, 0.02, 0, 0, 0, 0, 0.02, 0.05, 0.08, 0.1, 
## 0.08, 0.06, 0.06, 0.03, 0.03, 0.03, 0.05, 0.03, 0.02, -0.02, 
## -0.02, -0.02, -0.02, 0, 0.03, 0, -0.02, -0.02, 0.02, 0.05, 0.06, 
## 0.08, 0.08, 0.05, -0.02, -0.03, -0.02, -0.03, -0.05, -0.14, -0.14, 
## -0.14, -0.13, -0.08, -0.05, -0.05, -0.08, -0.1, -0.1, -0.05, 
## 0, 0, 0.02, 0.05, 0.02, 0, 0.02, -0.13, -0.11, -0.1, -0.05, 0.03, 
## 0.08, 0.16, 0.13, 0.08, 0, -0.05, -0.06, -0.11, -0.14, -0.16, 
## -0.18, -0.19, -0.18, -0.16, -0.14, -0.11, -0.1, -0.08, -0.05, 
## -0.02, 0, 0.03, 0.06, 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.18, 
## 0.19, 0.21, 0.21, 0.21, -0.11, -0.11, -0.06, 0, 0.18, 0.21, 0.19, 
## 0.22, 0.19, 0.18, 0.16, 0.08, -0.08, -0.11, -0.13, -0.14, -0.16, 
## -0.18, -0.16, -0.13, -0.13, -0.02, 0.03, 0.06, 0.05, 0.11, 0.19, 
## 0.21, 0.21, 0.18, 0.11, -0.06, -0.06, -0.08, -0.08, -0.08, -0.08, 
## -0.1, -0.06, 0, 0.03, 0.06, 0.08, 0.11, 0.16, 0.1, 0.1, 0.1, 
## 0.14, 0.11, 0.06, 0.02, -0.06, -0.03, 0, 0, -0.02, -0.05, -0.06, 
## -0.11, -0.13, -0.19, -0.1, -0.08, -0.05, 0.08, 0.16, 0.22, 0.21, 
## 0.21, 0.26, 0.21, 0.19, 0.13, 0.06, 0.03, 0.03, 0.03, 0.05, 0.06, 
## 0.05, -0.06, -0.13, -0.13, -0.14, -0.14, -0.08, 0.02, 0.08, 0.08, 
## 0.1, 0.06, -0.03, -0.06, -0.1, -0.18, -0.18, -0.16, -0.11, -0.1, 
## -0.1, -0.1, -0.08, 0.13, 0.18, 0.16, 0.18, 0.21, 0.24, 0.24, 
## 0.26, 0.21, 0.11, 0.03, -0.02, -0.06, -0.11, -0.13, -0.13, -0.13, 
## -0.13, -0.11, -0.11, -0.05, -0.05, -0.1, -0.1, -0.08, 0.03, 0.03, 
## 0.03, 0.06, 0.19, 0.18, 0.18, 0.11, -0.11, -0.22, -0.19, -0.18, 
## -0.14, -0.14, -0.14, -0.13, -0.08, -0.05, 0.16, 0.19, 0.16, 0.16, 
## 0.16, 0.18, 0.16, 0.03, -0.02, -0.06, -0.18, -0.22, -0.24, -0.24, 
## -0.24, -0.24, -0.24, -0.22, -0.13, 0.02, 0.11, 0.14, 0.13, 0.13, 
## 0.27, 0.29, 0.29, 0.26, 0.05, -0.06, -0.13, 0.05, 0.05, 0.03, 
## 0.02, 0.03, 0.1, 0.19, 0.29, 0.24, 0.1, -0.16, -0.16, -0.21, 
## -0.16, -0.13, -0.02, 0.11, 0.16, 0.21, 0.18, 0.18, 0.18, 0.16, 
## 0.13, 0.08, 0, -0.13, -0.13, -0.1, -0.06, -0.03, -0.05, -0.06, 
## -0.08, -0.08, -0.02, 0.03, 0.08, -0.1, 0.08, 0.14, 0.13, 0.11, 
## 0.06, 0.02, -0.03, -0.19, -0.18, -0.16, -0.08, 0, 0.03, 0.06, 
## 0.1, 0.16, 0.18, 0.18, 0.18, 0.18, 0.18, 0.19, 0.24, 0.24, 0.21, 
## 0.29, 0.29, 0.19, 0.16, 0.03, -0.06, -0.24, -0.26, -0.18, -0.05, 
## 0.06, 0.03, 0.08, 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 0.1, 0.11, 
## 0.11, 0.11, 0, -0.05, -0.19, -0.24, -0.27, -0.27, -0.24, -0.24, 
## -0.22, -0.16, -0.14, -0.13, -0.11, 0.06, 0.1, 0.16, 0.18, 0.19, 
## 0.24, 0.26, 0.26, 0.27, 0.19, 0.05, -0.13, -0.18, -0.08, -0.03, 
## 0, 0.03, 0.06, 0.08, 0.08, 0.08, 0.06, 0.06, 0.05, 0.03, 0.03, 
## 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.06, 0.06, 0.05, 0.05, 
## 0.05, 0.02, -0.02, -0.03, -0.05, 0.13, 0.13, 0.16, 0.18, 0.19, 
## 0.19, 0.19, 0.18, 0.13, 0.1, 0, 0.02, 0.02, 0.03, 0.03, 0.03, 
## 0.03, 0.1, 0.11, 0.1, 0.11, 0.13, 0.11, 0.1, 0.1, 0.1, 0.06, 
## 0.06, 0.1, 0.13, 0.16, 0.11, 0.08, 0.06, 0.06, 0.06, 0.14, 0.11, 
## 0.1, 0.1, 0.13, 0.13, 0.1, 0.08, 0.08, 0.06, 0.06, 0.06, 0.06, 
## 0.05, 0.05, 0.06, 0.08, 0.08, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 0.1, 0.1, 
## 0.11, 0.11, 0.11, 0.13, 0.14, 0.14, 0.14, 0.13, 0.11, 0.1, 0.06, 
## 0.1, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.14, 0.16, 0.18, 
## 0.06, 0.05, 0.06, 0.08, 0.1, 0.13, 0.13, 0.14, 0.14, 0.14, 0.13, 
## 0.13, 0.13, 0.13, 0.14, 0.18, 0.1, 0.1, 0.08, 0.08, 0.08, 0.06, 
## 0.06, 0.06, 0.1, 0.11, 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.11, 0.13, 0.14, 0.18, 0.18, 0.18, 0.18, 0.16, 0.08, 0.06, 
## 0.06, 0.06, 0.08, 0.06, 0.06, 0.06, 0.08, 0.1, 0.1, 0.11, 0.11, 
## 0.08, 0.08, 0.11, 0.13, 0.14, 0.11, 0.11, 0.13, 0.14, 0.13, 0.1, 
## 0.08, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 0.16, 0.16, 
## 0.14, 0.14, 0.14, 0.13, 0.11, 0.1, 0.08, 0.06, 0.06, 0.08, 0.08, 
## 0.08, 0.1, 0.1, 0.08, 0.08, 0.08, 0.1, 0.1, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.14, 0.14, 0.13, 0.11, 0.1, 0.1, 
## 0.08, 0.08, 0.08, 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.08, 0.06, 0.06, 0.08, 0.13, 0.13, 0.1, 0.1, 0.1, 0.08, 0.08, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.13, 0.14, 0.14, 0.13, 0.13, 0.11, 0.14, 0.13, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.08, 0.08, 0.08, 
## 0.08, 0.11, 0.14, 0.14, 0.11, 0.1, 0.1, 0.11, 0.1, 0.08, 0.08, 
## 0.05, 0.1, 0.13, 0.13, 0.18, 0.18, 0.16, 0.16, 0.1, 0.06, 0.05, 
## 0.06, 0.08, 0.1, 0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.16, 0.14, 0.14, 0.13, 
## 0.11, 0.11, 0.1, 0.11, 0.14, 0.16, 0.16, 0.18, 0.19, 0.16, 0.16, 
## 0.14, 0.14, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 
## 0.13, 0.13, 0.14, 0.14, 0.14, 0.16, 0.16, 0.16, 0.14, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
## 0.08, 0.1, 0.19, 0.19, 0.14, 0.08, 0.06, 0.05, 0.03, 0.02, 0.05, 
## 0.05, 0.03, 0.03, 0.03, 0.03, 0.05, 0.08, 0.1, 0.1, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.13, 0.11, 0.13, 
## 0.14, 0.18, 0.19, 0.21, 0.21, 0.21, 0.21, 0.21, 0.18, 0.14, 0.11, 
## 0.1, 0.06, 0.08, 0.11, 0.14, 0.22, 0.29, 0.31, 0.34, 0.35, 0.39, 
## 0.5, 0.53, 0.66, 0.63, 0.64, 0.63, 0.59, 0.58, 0.56, 0.32, 0.31, 
## 0.34, 0.34, 0.34, 0.34, 0.35, 0.32, 0.27, 0.24, 0.24, 0.22, 0.21, 
## 0.19, 0.16, 0.18, 0.16, 0.18, 0.16, 0.16, 0.11, 0.06, 0.05, 0.03, 
## 0.03, 0.03, 0.08, 0.1, 0.1, 0.06, -0.08, -0.1, -0.13, -0.13, 
## -0.13, -0.11, -0.08, -0.05, -0.03, -0.03, -0.06, -0.11, -0.14, 
## -0.18, -0.21, -0.22, -0.11, -0.13, -0.22, -0.21, 0, 0.02, 0.05, 
## 0.08, 0.18, 0.18, 0.18, 0.18, 0.22, 0.29, 0.34, 0.34, 0.34, 0.34, 
## 0.32, 0.34, 0.35, 0.35, 0.34, 0.34, 0.32, 0.27, 0.26, 0.22, 0.19, 
## 0.16, 0.11, 0.05, 0.05, 0.06, 0.06, 0.06, 0.08, 0.1, 0.14, 0.16, 
## 0.14, 0.14, 0.13, 0.14, 0.14, 0.16, 0.13, 0.11, 0.06, 0.05, 0.05, 
## 0.05, 0.05, 0.06, 0.06, 0.06, 0.06, 0.05, 0.11, 0.1, 0.1, 0.1, 
## 0.14, 0.14, 0.16, 0.18, 0.16, 0.11, 0.08, 0.05, 0.05, 0.06, 0.11, 
## 0.13, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 0.13, 0.14, 0.16, 0.16, 
## 0.14, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.08, 0.08, 0.06, 0.08, 
## 0.06, 0.08, 0.08, 0.08, 0.08, 0.11, 0.11, 0.13, 0.13, 0.14, 0.14, 
## 0.13, 0.11, 0.14, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 0.1, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 0.13, 0.14, 0.11, 
## 0.11, 0.1, 0.1, 0.13, 0.14, 0.11, 0.11, 0.1, 0.1, 0.1, 0.08, 
## 0.08, 0.1, 0.11, 0.13, 0.13, 0.11, 0.1, 0.06, 0.02, 0.05, 0.14, 
## 0.13, 0.1, 0.1, 0.11, 0.1, 0.08, 0.08, 0.06, 0.08, 0.08, 0.1, 
## 0.11, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 0.02, 0.02, 0.02, 0.05, 
## 0.14, 0.21, 0.22, 0.21, 0.16, 0.11, 0.1, 0.02, 0, -0.03, -0.06, 
## -0.06, -0.06, -0.05, -0.05, -0.05, -0.03, -0.02, 0.02, 0.06, 
## 0.08, 0.1, 0.14, 0.16, 0.16, 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.06, -0.03, -0.06, 
## -0.11, -0.1, -0.08, -0.05, -0.02, 0.08, 0.14, 0.16, 0.14, 0.16, 
## 0.16, 0.21, 0.22, 0.22, 0.19, 0.18, 0.16, 0.13, 0.03, 0.02, 0.03, 
## 0.03, 0.03, 0.05, 0.06, 0.08, 0.11, 0.13, 0.13, 0.13, 0.13, 0.14, 
## 0.16, 0.16, 0.11, 0.13, 0.18, 0.18, 0.19, 0.21, 0.21, 0.21, 0.19, 
## 0.19, 0.18, 0.13, 0.03, 0, 0, -0.02, 0, 0.03, 0.03, 0.03, 0.03, 
## 0.03, 0.03, 0.02, 0.03, 0.05, 0.05, 0.05, 0.05, 0.05, 0.06, 0.06, 
## 0.11, 0.11, 0.14, 0.16, 0.16, 0.16, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.14, 0.16, 0.18, 0.18, 0.18, 0.16, 0.14, 0.14, 0.13, 0.13, 0.16, 
## 0.18, 0.21, 0.21, 0.21, 0.21, 0.18, 0.13, 0.13, 0.05, 0.08, 0.1, 
## 0.08, 0.1, 0.11, 0.13, 0.16, 0.16, 0.16, 0.14, 0.14, 0.13, 0.14, 
## 0.18, 0.18, 0.19, 0.19, 0.18, 0.16, 0.16, 0.14, 0.11, 0.1, 0.08, 
## 0.06, 0, -0.02, 0, -0.02, -0.02, -0.02, 0.02, 0.02, 0.05, 0.1, 
## 0.13, 0.08, 0.06, 0.05, 0.05, 0.05, 0.05, 0.05, 0.08, 0.1, 0.1, 
## 0.13, 0.14, 0.16, 0.14, 0.16, 0.14, 0.14, 0.14, 0.13, 0.08, 0.1, 
## 0.11, 0.19, 0.19, 0.19, 0.19, 0.18, 0.18, 0.18, 0.16, 0.18, 0.16, 
## 0.14, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 0.1, 0.1, 0.1, 0.05, 
## 0.03, -0.02, -0.03, -0.03, -0.06, -0.1, -0.1, -0.1, -0.06, -0.05, 
## -0.02, 0.05, 0.08, 0.1, 0.13, 0.18, 0.18, 0.16, 0.16, 0.14, 0.13, 
## 0.14, 0.14, 0.16, 0.05, 0.05, 0.03, 0.03, 0.05, 0.18, 0.19, 0.14, 
## 0.14, 0.13, 0.13, 0.14, 0.14, 0.16, 0.13, 0.16, 0.16, 0.18, 0.16, 
## 0.14, 0.13, 0.08, 0.08, 0.06, 0.06, 0.03, 0.05, 0.03, 0.03, 0.05, 
## 0.05, 0.05, 0.05, 0.06, 0.11, 0.13, 0.13, 0.13, 0.1, 0.1, 0.08, 
## 0.08, 0.1, 0.1, 0.1, 0.13, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.14, 0.11, 0.11, 0.1, 0.1, 0.13, 0.16, 0.18, 
## 0.21, 0.16, 0.06, 0.02, 0.02, 0.03, 0.03, 0.06, 0.08, 0.08, 0.08, 
## 0.1, 0.1, 0.1, 0.1, 0.11, 0.08, 0.08, 0.08, 0.11, 0.14, 0.16, 
## 0.19, 0.19, 0.21, 0.21, 0.21, 0.18, 0.16, 0.11, 0.1, 0.08, 0.05, 
## 0.03, 0.03, 0.03, 0.03, 0.03, 0.05, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.06, 0.06, 
## 0.06, 0.06, 0.13, 0.14, 0.16, 0.19, 0.19, 0.19, 0.18, 0.16, 0.13, 
## 0.13, 0.11, 0.1, 0.08, 0.1, 0.1, 0.14, 0.14, 0.16, 0.16, 0.16, 
## 0.18, 0.21, 0.21, 0.1, 0.03, 0.02, 0.02, -0.02, -0.03, -0.03, 
## -0.02, -0.02, 0.03, 0.05, 0.06, 0.06, 0.03, 0.03, 0.03, 0.03, 
## 0.03, 0.1, 0.16, 0.18, 0.22, 0.22, 0.21, 0.21, 0.22, 0.22, 0.24, 
## 0.22, 0.19, 0.14, 0.06, -0.03, -0.05, -0.03, -0.02, 0.03, 0.05, 
## 0.08, 0.08, 0.1, 0.1, 0.11, 0.13, 0.24, 0.24, 0.27, 0.29, 0.31, 
## 0.27, 0.14, 0.11, 0.08, 0.03, 0.02, 0.02, 0.02, 0.02, 0.08, 0.08, 
## 0.08, 0.05, 0.06, 0.05, 0.05, 0.05, 0.02, 0.02, 0.02, 0.06, 0.1, 
## 0.13, 0.16, 0.19, 0.21, 0.22, 0.26, 0.26, 0.29, 0.31, 0.29, 0.26, 
## 0.16, 0.05, 0.03, 0.02, -0.02, 0, 0.02, 0.03, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.08, 0.06, 0.06, 0.06, 
## 0.06, 0.08, 0.1, 0.13, 0.14, 0.16, 0.16, 0.16, 0.08, 0.06, 0.02, 
## 0.02, 0.02, 0.03, 0.14, 0.14, 0.14, 0.24, 0.22, 0.19, 0.14, 0.14, 
## 0.14, 0.1, 0.1, 0.11, 0.13, 0.13, 0.13, 0.16, 0.19, 0.21, 0.22, 
## 0.21, 0.21, 0.19, 0.13, 0.05, 0.02, -0.03, 0, 0.02, 0.05, 0.08, 
## 0.08, 0.08, 0.06, 0.06, 0.06, 0.08, 0.13, 0.21, 0.22, 0.24, 0.24, 
## 0.18, 0.16, 0.16, 0.16, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.08, 
## 0.1, 0.11, 0.13, 0.16, 0.18, 0.18, 0.18, 0.19, 0.16, 0.13, 0.11, 
## 0.08, 0.1, 0.1, 0.13, 0.1, 0.1, 0.06, 0.06, 0.1, 0.1, 0.08, 0.08, 
## 0.1, 0.19, 0.21, 0.26, 0.26, 0.27, 0.26, 0.24, 0.16, 0.14, 0.14, 
## 0.08, 0.05, 0.02, 0.02, 0.02, 0, -0.02, -0.05, -0.05, -0.05, 
## -0.06, -0.03, -0.02, 0.02, 0.03, 0.02, 0.06, 0.14, 0.13, 0.13, 
## 0.13, 0.13, 0.14, 0.14, 0.13, 0.13, 0.13, 0.11, 0.1, 0.08, 0.08, 
## 0.08, 0.1, 0.1, 0.11, 0.13, 0.13, 0.14, 0.16, 0.16, 0.14, 0.13, 
## 0.14, 0.14, 0.14, 0.14, 0.13, 0.13, 0.1, 0.05, 0.05, 0.06, 0.06, 
## 0.08, 0.11, 0.16, 0.13, 0.11, 0.14, 0.14, 0.16, 0.18, 0.14, 0.16, 
## 0.18, 0.18, 0.11, 0.11, 0.13, 0.14, 0.16, 0.16, 0.18, 0.19, 0.03, 
## 0.03, 0.02, 0, 0, 0.16, 0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 0.11, 
## 0.1, 0.08, 0.08, 0.1, 0.11, 0.08, 0.06, 0.06, 0.08, 0.11, 0.11, 
## 0.13, 0.14, 0.11, 0.13, 0.13, 0.16, 0.18, 0.18, 0.16, 0.19, 0.18, 
## 0.18, 0.16, 0.16, 0.14, 0.1, 0.1, 0.1, 0.1, 0.11, 0.1, 0.08, 
## 0.05, 0.06, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.16, 
## 0.18, 0.16, 0.14, 0.19, 0.19, 0.18, 0.18, 0.14, 0.1, 0.08, 0.1, 
## 0.1, 0.1, 0.1, 0.13, 0.14, 0.11, 0.08, 0.08, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.08, 0.1, 0.1, 0.1, 
## 0.11, 0.16, 0.18, 0.19, 0.14, 0.06, 0.06, 0.08, 0.1, 0.11, 0.1, 
## 0.1, 0.13, 0.16, 0.18, 0.22, 0.22, 0.24, 0.21, 0.19, 0.18, 0.14, 
## 0.05, 0.02, -0.02, -0.02, -0.03, -0.02, 0, 0.02, 0.02, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.13, 0.13, 0.13, 0.14, 0.18, 0.18, 
## 0.16, 0.18, 0.16, 0.19, 0.18, 0.19, 0.19, 0.19, 0.18, 0.19, 0.18, 
## 0.16, 0.14, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.08, 0.06, 0.05, 
## 0.05, 0.03, 0.02, 0, 0, 0.02, 0.02, 0.05, 0.08, 0.14, 0.18, 0.24, 
## 0.26, 0.26, 0.21, 0.19, 0.18, 0.16, 0.16, 0.16, 0.14, 0.1, 0.1, 
## 0.11, 0.13, 0.13, 0.08, 0.06, 0.05, -0.02, 0.02, 0.11, 0.08, 
## 0.08, 0.08, 0.08, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.03, 0.03, 
## 0.03, 0.03, 0.03, 0, 0, 0, -0.02, 0.02, 0.03, 0.05, 0.13, 0.18, 
## 0.21, 0.22, 0.21, 0.13, 0.1, 0.02, -0.18, -0.16, -0.13, -0.08, 
## -0.06, 0.03, 0.06, 0.06, 0.08, 0.11, 0.13, 0.18, 0.19, 0.21, 
## 0.21, 0.18, 0.13, 0.13, 0.11, 0.13, 0.13, 0.14, 0.13, 0.11, -0.06, 
## -0.1, -0.11, -0.16, -0.14, -0.14, -0.06, -0.02, 0, 0, 0.06, 0.11, 
## 0.22, 0.27, 0.35, 0.32, 0.31, 0.31, 0.29, 0.29, 0.26, 0.18, 0.02, 
## -0.03, -0.18, -0.14, -0.13, -0.16, -0.26, -0.27, -0.21, -0.1, 
## -0.06, -0.13, -0.11, -0.02, 0.02, 0.1, 0.11, 0.11, 0.18, 0.18, 
## 0.14, 0.11, -0.08, -0.19, -0.22, -0.24, -0.26, -0.22, -0.19, 
## -0.18, -0.14, -0.13, -0.11, 0.18, 0.14, 0.03, -0.02, -0.03, -0.05, 
## -0.1, -0.16, -0.19, -0.19, -0.16, -0.14, -0.14, -0.1, 0.08, 0.05, 
## 0.02, 0.02, 0.05, 0.1, 0.13, 0.11, 0.1, 0.02, -0.06, -0.16, -0.18, 
## -0.19, -0.13, -0.11, 0.08, 0.11, 0.1, 0.1, 0.08, 0.03, -0.05, 
## -0.1, -0.11, -0.1, -0.06, 0, 0.05, 0.06, 0.06, 0.06, 0.06, 0.06, 
## 0.05, 0.06, 0.05, 0.02, 0, 0, 0, 0, -0.05, -0.05, -0.05, -0.06, 
## -0.06, -0.05, 0.03, 0.06, 0.08, 0.08, 0.08, 0.06, 0.06, 0.06, 
## 0.06, 0.08, 0.08, 0.06, 0.05, -0.02, -0.1, -0.13, -0.14, -0.14, 
## -0.08, -0.05, -0.02, 0.02, -0.05, -0.05, -0.08, -0.08, -0.06, 
## -0.06, -0.02, 0.05, 0.06, 0.08, 0.1, 0.06, 0.02, 0.03, 0.06, 
## 0.08, 0.11, 0.11, 0.11, 0.05, 0.03, 0.08, 0.11, 0.1, 0.03, 0, 
## 0.02, 0.05, 0.06, 0.06, 0.06, 0.05, 0.05, 0.02, -0.02, -0.03, 
## -0.05, -0.05, -0.02, 0.02, 0.05, 0.08, 0.08, 0.08, 0.08, 0.08, 
## 0.05, 0, 0.05, 0.06, 0.06, 0.03, 0.02, -0.05, -0.06, -0.08, -0.06, 
## 0, 0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.03, -0.06, -0.11, 
## -0.08, 0.03, 0.05, 0.1, 0.1, 0.05, 0.05, 0.03, 0.03, 0.03, 0.06, 
## 0.06, 0.08, 0.08, 0.05, 0.03, 0.03, 0.02, -0.02, -0.02, -0.03, 
## 0, -0.48, -0.51, -0.51, -0.5, -0.5, -0.47, -0.47, -0.45, -0.43, 
## -0.43, -0.47, -0.47, -0.45, -0.45, -0.45, -0.43, -0.42, -0.42, 
## -0.45, -0.48, -0.51, -0.56, -0.58, -0.59, -0.59, -0.61, -0.63, 
## -0.67, -0.69, -0.56, -0.61, -0.61, -0.71, -0.71, -0.69, -0.66, 
## -0.59, -0.55, -0.32, -0.29, -0.27, -0.24, -0.21, -0.24, -0.24, 
## -0.26, -0.27, -0.35, -0.37, -0.37, -0.42, -0.45, -0.48, -0.51, 
## -0.5, -0.48, -0.43, -0.39, -0.39, -0.37, -0.39, -0.4, -0.42, 
## -0.37, 0.05, 0.05, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 
## 0.02, 0.03, 0.02, 0.02, 0.03, 0.02, 0.03, 0.03, 0.03, 0.03, 0.05, 
## 0.11, 0.13, 0.11, 0.1, 0.11, 0.11, 0.08, 0.05, -0.02, -0.05, 
## -0.06, -0.06, -0.05, 0, 0.03, 0.05, 0.05, 0.03, 0.03, 0.03, 0.06, 
## 0.06, 0.06, 0.02, 0.02, -0.05, 0, 0.05, 0.05, 0.05, 0.06, 0.05, 
## 0.02, 0.02, 0.03, 0.05, 0.06, 0.06, 0, -0.08, -0.08, -0.06, 0, 
## 0.02, 0.03, 0.05, 0.08, 0.03, 0.03, 0.02, 0, 0, -0.02, 0, 0.02, 
## 0.02, 0.03, 0.05, 0.05, 0.05, 0.03, 0.02, 0.02, 0.02, -0.03, 
## -0.03, -0.02, 0.02, -0.03, -0.05, -0.08, -0.05, -0.05, -0.06, 
## -0.06, -0.06, -0.06, -0.03, -0.02, 0.05, 0.06, 0.08, 0.05, -0.03, 
## -0.05, -0.05, 0, 0.02, 0.03, 0.06, 0.06, 0.06, 0.1, 0.1, 0.02, 
## 0, -0.02, -0.02, 0, 0.02, 0.05, 0.03, 0.03, 0.02, 0.02, 0.03, 
## 0.06, 0.06, -0.02, -0.03, -0.08, -0.13, -0.11, -0.1, -0.06, -0.05, 
## 0.11, 0.03, 0.05, 0.08, 0.06, 0.06, 0.05, 0.06, 0.05, 0.02, -0.02, 
## -0.05, -0.08, -0.08, -0.1, -0.1, -0.1, -0.06, -0.05, -0.05, 0, 
## 0.03, 0.05, 0.06, 0.05, 0.08, 0.08, 0.06, 0.05, 0.05, 0.03, -0.05, 
## -0.05, -0.03, 0, 0.02, 0.05, 0.06, 0.08, 0.11, 0.14, 0.16, 0.18, 
## 0.13, 0.1, 0.06, 0.03, 0.03, 0.02, -0.02, -0.03, -0.05, -0.05, 
## -0.05, -0.08, -0.06, -0.05, -0.05, -0.03, 0, 0, 0.02, 0, -0.02, 
## -0.02, -0.02, 0.02, 0.03, 0.1, 0.08, 0.05, 0.03, 0.03, 0.03, 
## 0.02, -0.02, 0, 0.02, 0, -0.32, -0.35, -0.39, -0.5, -0.5, -0.51, 
## -0.53, -0.55, -0.55, -0.53, -0.5, -0.5, -0.48, -0.48, -0.5, -0.5, 
## -0.5, -0.5, -0.5, -0.51, -0.48, -0.47, -0.48, -0.5, -0.48, -0.48, 
## -0.43, -0.43, -0.45, -0.45, -0.45, -0.43, -0.42, -0.42, -0.4, 
## -0.4, -0.42, -0.4, -0.39, -0.4, -0.42, -0.47, -0.45, -0.43, -0.42, 
## -0.42, -0.4, -0.4, -0.39, -0.4, -0.42, -0.43, -0.43, -0.39, -0.35, 
## -0.34, -0.35, -0.37, -0.4, -0.42, -0.42, -0.4, -0.39, -0.4, -0.4, 
## -0.39, -0.4, -0.4, -0.4, -0.39, -0.42, -0.43, -0.48, -0.53, -0.55, 
## -0.58, -0.58, -0.56, -0.45, -0.43, -0.42, -0.4, -0.42, -0.43, 
## -0.43, -0.43, -0.42, -0.4, -0.39, -0.39, -0.4, -0.39, -0.42, 
## -0.43, -0.43, -0.43, -0.48, -0.48, -0.47, -0.47, -0.42, -0.43, 
## -0.43, -0.43, -0.45, -0.45, -0.43, -0.4, -0.4, -0.4, -0.45, -0.47, 
## -0.43, -0.42, -0.4, -0.37, -0.39, -0.42, -0.4, -0.31, -0.31, 
## -0.42, -0.45, -0.45, -0.45, -0.48, -0.51, -0.53, -0.55, -0.56, 
## -0.58, -0.58, -0.5, -0.51, -0.48, -0.47, -0.45, -0.45, -0.43, 
## -0.4, -0.4, -0.43, -0.42, -0.42, -0.43, -0.45, -0.45, -0.42, 
## -0.4, -0.42, -0.43, -0.43, -0.42, -0.43, -0.47, -0.47, -0.47, 
## -0.45, -0.42, -0.47, -0.48, -0.48, -0.5, -0.53, -0.53, -0.53, 
## -0.53, -0.48, -0.48, -0.47, -0.42, -0.43, -0.42, -0.45, -0.47, 
## -0.43, -0.42, -0.39, -0.39, -0.37, -0.37, -0.43, -0.47, -0.45, 
## -0.45, -0.47, -0.48, -0.47, -0.45, -0.43, -0.4, -0.39, -0.37, 
## -0.37, -0.37, -0.39, -0.4, -0.42, -0.42, -0.39, -0.37, -0.37, 
## -0.37, -0.39, -0.45, -0.48, -0.5, -0.48, -0.48, -0.47, -0.39, 
## -0.4, -0.39, -0.39, -0.42, -0.43, -0.43, -0.48, -0.51, -0.53, 
## -0.55, -0.51, -0.5, -0.48, -0.47, -0.45, -0.43, -0.43, -0.4, 
## -0.43, -0.43, -0.43, -0.4, -0.42, -0.4, -0.4, -0.42, -0.43, -0.43, 
## -0.45, -0.47, -0.43, -0.45, -0.42, -0.39, -0.37, -0.37, -0.37, 
## -0.34, -0.34, -0.34, -0.35, -0.35, -0.39, -0.43, -0.47, -0.47, 
## -0.48, -0.55, -0.55, -0.55, -0.55, -0.55, -0.51, -0.5, -0.47, 
## -0.45, -0.42, -0.4, -0.45, -0.47, -0.47, -0.47, -0.43, -0.43, 
## -0.42, -0.4, -0.43, -0.45, -0.48, -0.48, -0.45, -0.45, -0.45, 
## -0.42, -0.34, -0.34, -0.35, -0.4, -0.42, -0.45, -0.45, -0.4, 
## -0.39, -0.4, -0.42, -0.42, -0.4, -0.4, -0.39, -0.35, -0.31, -0.42, 
## -0.47, -0.48, -0.48, -0.5, -0.53, -0.55, -0.58, -0.55, -0.47, 
## -0.45, -0.42, -0.4, -0.45, -0.42, -0.42, -0.42, -0.43, -0.45, 
## -0.43, -0.45, -0.45, -0.43, -0.4, -0.39, -0.39, -0.39, -0.37, 
## -0.42, -0.42, -0.45, -0.43, -0.43, -0.42, -0.4, -0.42, -0.42, 
## -0.42, -0.4, -0.39, -0.4, -0.43, -0.47, -0.48, -0.48, -0.47, 
## -0.47, -0.5, -0.55, -0.58, -0.58, -0.56, -0.55, -0.5, -0.47, 
## -0.47, -0.42, -0.42, -0.4, -0.42, -0.43, -0.43, -0.43, -0.42, 
## -0.45, -0.43, -0.43, -0.45, -0.45, -0.45, -0.45, -0.42, -0.42, 
## -0.42, -0.42, -0.43, -0.43, -0.43, -0.45, -0.45, 0.13, 0.14, 
## 0.06, 0.02, 0, -0.02, -0.02, -0.02, 0, 0.06, 0.02, 0, -0.02, 
## -0.02, 0, 0.02, -0.02, -0.02, -0.03, -0.05, -0.06, -0.06, -0.03, 
## -0.02, 0, 0, -0.02, -0.02, -0.03, -0.03, -0.02, 0.02, 0.02, 0.05, 
## 0.05, 0.03, 0.02, 0.03, 0.05, 0.06, 0.1, 0.1, 0.1, 0.1, 0.05, 
## 0.03, 0, 0, 0.02, 0.08, 0.08, 0.02, -0.02, -0.06, -0.1, -0.11, 
## -0.11, -0.11, -0.1, -0.1, -0.05, -0.02, 0, 0, 0, 0.02, 0.02, 
## 0.05, 0.05, 0.02, -0.03, -0.05, -0.06, -0.05, 0, 0.03, 0.05, 
## 0.05, 0.05, 0.03, 0.02, 0, 0, 0.02, 0.03, 0.03, 0.05, 0.06, 0.06, 
## 0.06, 0.05, 0.05, 0.02, -0.02, 0, 0.05, 0.08, 0.1, 0.1, 0.06, 
## 0.05, 0.05, -0.02, -0.03, -0.02, -0.03, -0.05, -0.03, -0.06, 
## -0.05, -0.03, -0.02, 0, 0.08, 0.08, 0.08, 0.03, 0.03, 0.03, 0.02, 
## 0, -0.05, -0.02, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.02, 
## -0.02, 0.02, 0.02, 0.02, 0.03, 0.05, 0.06, 0.06, 0.08, 0.06, 
## 0.06, 0.05, 0.03, 0.03, 0, 0, 0.02, 0.03, 0.06, 0.08, 0.08, 0.1, 
## 0.08, 0.08, 0.08, 0.06, -0.02, -0.05, -0.1, -0.1, -0.16, -0.14, 
## -0.13, -0.1, -0.05, 0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 0.05, 
## 0.03, 0, -0.02, -0.05, -0.06, -0.13, -0.14, 0.06, 0.05, 0.03, 
## 0.02, -0.03, -0.11, -0.13, -0.05, -0.02, 0.03, 0.03, 0.02, -0.05, 
## 0.03, 0.03, 0.06, 0.08, 0.08, 0.1, 0.08, 0.08, 0.08, 0.06, 0.02, 
## 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, 0.03, 0, 0, -0.02, -0.06, -0.06, -0.08, -0.03, 0.02, 0.03, 
## 0.06, 0.05, 0.03, 0.02, 0.02, 0.05, 0.11, 0.13, 0.1, 0.08, 0.06, 
## 0.03, 0.03, 0.05, 0.08, 0.13, 0.13, 0.14, 0.1, 0.05, 0.03, 0, 
## -0.06, -0.08, -0.1, -0.11, -0.06, 0, 0.02, 0.05, 0.06, 0.05, 
## 0.05, 0, 0, 0, -0.02, -0.03, -0.08, -0.08, -0.08, -0.06, -0.03, 
## 0.03, 0.03, 0.03, 0.03, 0.05, 0.05, 0.06, 0.1, 0.11, 0.11, 0, 
## 0.02, 0.05, 0.08, 0.1, 0.08, 0.05, 0.02, 0.02, -0.03, -0.08, 
## -0.11, -0.13, -0.11, -0.08, -0.03, 0, 0.03, 0.03, 0.03, 0.03, 
## 0.03, 0.03, 0.05, 0.05, 0.03, 0.03, 0.02, 0, 0, -0.06, -0.08, 
## -0.08, -0.08, -0.1, -0.08, -0.08, -0.06, -0.06, -0.05, -0.02, 
## -0.02, 0, 0, 0.02, 0, 0.06, 0.18, 0.19, 0.16, 0.08, 0.06, 0.05, 
## 0.11, 0.08, 0.05, -0.03, -0.06, -0.05, -0.03, -0.05, -0.05, 0, 
## 0.02, 0.05, 0.08, 0.06, 0.05, 0.05, 0.02, 0, 0.02, 0, 0.02, 0.02, 
## 0.03, 0.03, 0.03, 0.03, 0.02, 0, 0, -0.02, 0.05, 0.02, 0.02, 
## 0.02, 0.03, 0.05, 0.05, 0.06, 0.06, 0.03, 0, -0.02, -0.02, -0.03, 
## -0.03, -0.05, -0.05, -0.05, 0.03, 0.05, 0.05, 0.06, 0.06, 0.06, 
## 0.08, 0.1, 0.1, 0.06, 0, -0.02, -0.03, -0.03, -0.05, -0.03, -0.02, 
## 0, 0.03, 0.02, 0.02, 0.02, 0.03, 0.06, 0.08, 0.08, 0.06, 0.05, 
## 0.03, 0.02, 0, 0.02, 0.08, 0.08, 0.06, 0.05, 0.03, 0.03, 0.05, 
## 0.06, 0.06, 0.08, 0.06, 0.05, 0.06, 0.06, 0.06, 0.05, 0.03, 0.03, 
## 0.02, -0.03, -0.02, -0.02, 0, 0, 0.02, 0.02, -0.02, -0.02, -0.03, 
## -0.02, 0.03, 0.05, 0.08, 0.08, 0.05, 0, -0.02, -0.05, -0.05, 
## -0.05, -0.05, -0.05, -0.06, -0.06, -0.06, -0.05, -0.02, -0.02, 
## 0, -0.02, -0.03, -0.02, 0, -0.02, 0, 0, 0, -0.03, -0.03, -0.02, 
## 0.02, 0.02, 0.06, 0.1, 0.1, 0.1, 0.08, 0.05, 0.05, 0.05, 0.05, 
## 0.05, 0.05, 0.05, 0.03, 0.03, 0, 0, 0.02, 0.05, 0.03, 0.05, 0.05, 
## 0.02, 0, 0.03, -0.02, -0.11, -0.11, -0.14, -0.13, -0.13, -0.13, 
## -0.08, -0.05, -0.02, -0.02, 0.03, 0.08, 0.08, 0.1, 0.08, 0.08, 
## 0.08, 0.1, 0.1, 0.1, 0.08, 0.08, 0.06, 0.08, 0.1, 0.13, 0.13, 
## 0.1, 0.08, 0.06, 0.05, 0.02, 0, 0, 0, -0.02, -0.02, 0, 0.05, 
## 0.05, 0.05, 0.03, 0.05, 0.05, 0.05, 0.05, 0.03, 0.03, 0.03, 0.02, 
## -0.02, -0.03, -0.02, -0.02, 0.02, 0.05, 0.05, 0.05, 0.05, 0.05, 
## 0.05, 0.05, 0.03, 0.02, 0.02, 0.03, 0.02, 0.02, 0, -0.02, -0.05, 
## -0.06, -0.06, -0.06, -0.08, -0.08, -0.05, -0.05, 0, 0, 0.03, 
## 0.02, 0.02, 0, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, 0, 0.02, 
## 0.02, 0.02, 0.03, 0.05, 0.06, 0.08, 0.08, 0.03, 0.02, 0.02, 0, 
## -0.02, 0, 0.03, 0.08, 0.08, 0.08, 0.08, 0.08, 0.03, 0.02, -0.03, 
## -0.03, -0.02, -0.05, -0.05, -0.06, -0.06, -0.05, -0.05, -0.05, 
## -0.06, 0.1, 0.14, 0.14, 0.1, 0.1, 0.06, 0.08, 0.1, 0.11, 0.11, 
## 0.1, 0.08, 0.06, -0.06, -0.05, -0.03, -0.06, -0.05, -0.03, 0, 
## 0.06, 0.05, 0.02, -0.02, -0.08, -0.08, -0.11, -0.13, -0.08, -0.05, 
## 0.02, 0.05, 0.06, 0.08, 0.11, 0.11, 0.08, 0.06, 0.03, 0.02, 0.03, 
## 0.05, 0.06, 0.08, 0.06, 0.05, 0.05, 0.05, 0.05, 0.06, 0.06, 0.06, 
## 0.06, 0.06, 0.08, 0.06, 0.06, 0.03, 0.03, 0.02, 0.02, 0.02, 0.03, 
## 0.05, 0.05, 0.05, -0.02, -0.02, -0.05, -0.05, -0.03, 0.05, 0, 
## 0, -0.02, -0.05, -0.06, -0.06, -0.06, 0, 0.06, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.08, 0.06, 0.05, 0.03, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, -0.03, -0.05, -0.06, -0.06, -0.05, 0, 0.02, 0.03, 0.03, 
## 0.03, 0.03, 0.03, 0.02, 0.03, 0.03, 0.06, 0.06, 0.05, 0.03, -0.03, 
## -0.03, 0.02, 0.05, 0.05, 0.06, 0.06, -0.03, -0.03, -0.03, -0.05, 
## -0.05, -0.05, -0.03, -0.03, -0.02, 0, -0.03, -0.03, -0.02, -0.05, 
## -0.05, -0.06, -0.05, -0.06, 0, 0.05, 0.06, 0.06, 0.08, 0.08, 
## 0.1, 0.1, 0.06, 0.02, -0.02, -0.03, -0.06, -0.08, -0.08, -0.08, 
## -0.05, -0.03, 0.02, 0.03, 0.03, 0.11, 0.13, 0.13, 0.13, 0.11, 
## 0.1, 0.06, 0.03, 0, 0, -0.03, -0.05, -0.06, -0.11, -0.13, -0.11, 
## -0.13, -0.11, -0.08, -0.05, -0.03, -0.02, -0.02, 0.03, 0.05, 
## 0.08, 0.1, 0.1, 0.08, 0.08, 0.06, 0.06, 0.05, 0.03, 0.02, 0, 
## 0, 0, 0, 0, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 
## 0.03, 0.05, 0.05, 0.05, 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0.03, 
## 0.02, 0.06, 0.06, 0.06, 0.06, 0.06, 0.02, -0.02, -0.02, -0.02, 
## -0.03, 0.02, 0.03, 0.03, 0.02, -0.02, -0.06, -0.05, -0.05, -0.03, 
## -0.02, -0.02, -0.06, -0.1, -0.13, -0.13, -0.13, -0.06, -0.05, 
## 0.02, 0.03, 0.03, 0.02, 0, 0, 0, 0.02, 0.03, 0.03, 0.03, 0.05, 
## 0.05, 0.05, 0.03, 0.03, 0.06, 0.11, 0.1, 0.1, 0.1, 0.06, 0.02, 
## -0.02, -0.03, -0.06, -0.06, -0.1, -0.08, -0.06, -0.05, -0.03, 
## 0.02, 0.03, 0.05, 0.03, 0.03, 0.02, 0, 0.03, 0.05, 0.05, 0.03, 
## 0.05, 0.05, 0.03, 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, 0.02, 0, 0, 0, 0.02, 0.03, 0.06, 0.06, 0.02, 0, 0.02, 0.02, 
## 0.05, 0.08, 0.03, 0, -0.06, -0.13, 0.02, 0.05, 0.03, 0.03, 0.05, 
## 0.03, 0.03, 0.03, 0.11, 0.1, 0.08, 0.08, 0.03, 0.02, -0.02, 0.02, 
## 0.03, 0.05, 0.03, 0.03, 0.03, 0.05, 0.08, 0.11, 0.1, 0.08, 0.05, 
## 0.02, 0, 0.02, 0, 0.02, 0.02, 0.03, 0, 0.02, -0.02, -0.03, -0.05, 
## 0.03, 0.05, 0.08, 0.1, 0.1, 0.08, 0.06, 0.02, 0, 0.02, 0.03, 
## 0.11, 0.14, 0.14, 0.13, -0.05, -0.1, -0.11, -0.11, -0.1, -0.03, 
## -0.02, 0, 0.02, 0.06, 0.05, 0.05, 0.05, 0.06, 0.08, 0.08, 0.06, 
## 0.06, -0.03, -0.06, -0.14, -0.11, -0.1, -0.03, 0, 0.02, -0.02, 
## -0.03, 0.06, 0.03, 0.02, 0.02, 0.02, 0.02, 0.03, 0.1, 0.11, 0.08, 
## 0.02, -0.11, -0.14, -0.14, -0.13, -0.08, -0.06, -0.02, 0.02, 
## 0.03, 0.08, 0.1, 0.1, 0.1, 0.11, 0.1, 0.1, 0.1, 0.08, 0.03, -0.02, 
## -0.03, -0.06, -0.1, -0.1, -0.1, -0.08, -0.02, -0.03, -0.02, -0.03, 
## -0.03, 0, 0, 0, 0.02, 0.02, 0.06, 0.11, 0.11, 0.13, 0.11, 0.05, 
## -0.05, -0.06, -0.08, -0.1, -0.11, 0, 0.08, 0.1, 0.1, 0.08, 0.06, 
## 0.05, 0.03, 0.03, 0.05, 0.05, 0.05, 0.05, 0.05, 0.02, 0.02, -0.03, 
## -0.05, -0.05, -0.03, -0.02, -0.02, 0.06, 0.1, 0.1, 0.11, 0.08, 
## 0.1, 0.1, 0.05, 0.02, -0.06, -0.08, -0.08, -0.06, -0.08, -0.05, 
## -0.02, 0.06, 0.08, 0.03, 0.03, 0, -0.02, 0, -0.1, -0.13, -0.13, 
## -0.13, -0.13, 0.08, 0.1, 0.13, 0.13, 0.13, 0.13, 0.14, 0.14, 
## 0.16, 0.11, 0.08, 0, -0.08, -0.13, -0.08, -0.02, 0, 0.03, 0.06, 
## 0.05, 0.05, 0.05, 0.05, 0.03, 0.02, 0, -0.02, -0.02, -0.02, -0.05, 
## -0.06, -0.08, -0.1, -0.1, -0.1, -0.08, -0.03, -0.05, 0, 0.05, 
## 0.05, 0.05, 0.08, 0.08, 0.13, 0.16, 0.16, 0.14, 0.11, 0.1, -0.02, 
## -0.05, -0.1, -0.11, -0.06, 0.06, 0.06, 0.05, 0.05, 0.02, 0.03, 
## 0.1, 0.1, 0.1, 0.08, 0.08, 0.05, 0.02, -0.05, -0.05, -0.03, -0.03, 
## -0.03, -0.03, -0.02, 0, 0.11, 0.11, 0.16, 0.16, 0.14, 0.11, 0.08, 
## 0.06, 0.05, 0.03, 0.02, -0.02, -0.03, -0.05, -0.03, -0.03, -0.03, 
## -0.03, -0.03, 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 
## 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0.03, 0.05, -0.02, -0.05, -0.05, 
## -0.06, -0.08, -0.11, -0.11, -0.05, 0, 0.08, 0.13, 0.14, 0.13, 
## 0.11, 0.06, 0.02, -0.06, -0.1, -0.1, -0.13, -0.11, -0.11, -0.08, 
## -0.05, -0.03, -0.02, 0, 0.02, 0.1, 0.06, 0.05, 0.05, 0.06, 0.11, 
## 0.13, 0.11, -0.06, -0.1, -0.19, -0.19, -0.18, -0.16, -0.16, -0.1, 
## 0.11, 0.16, 0.14, 0.18, 0.16, 0.14, 0.16, 0.18, 0.18, 0.02, -0.13, 
## -0.18, -0.19, -0.21, -0.21, -0.22, -0.26, -0.27, -0.27, -0.21, 
## -0.14, -0.06, 0.18, 0.14, 0.11, 0.11, 0.19, 0.22, 0.22, 0.18, 
## -0.05, -0.06, -0.11, -0.11, -0.1, -0.05, 0.06, 0.11, 0.14, 0.13, 
## 0.05, 0.03, 0, -0.05, -0.1, -0.11, -0.11, -0.08, -0.06, -0.05, 
## 0, 0.03, 0.05, 0.05, 0.06, 0.06, 0.06, 0.05, 0.03, 0.02, 0.02, 
## 0.03, 0.03, 0.05, 0.05, 0.05, 0.03, 0.05, 0.06, 0.06, 0.05, 0.05, 
## 0.05, 0.03, 0.02, 0.03, 0.03, 0.03, 0.03, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.1, -0.1, -0.08, -0.08, -0.06, 
## -0.05, -0.06, -0.13, -0.19, -0.22, -0.21, -0.11, 0.03, 0.03, 
## 0.02, 0.03, 0.03, 0.02, 0.03, 0.05, 0.05, -0.11, -0.08, -0.06, 
## -0.05, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 
## 0, -0.02, -0.02, -0.03, -0.03, 0.03, 0.02, 0.06, 0.11, 0.13, 
## 0.13, 0.13, 0.16, 0.14, 0.14, 0.08, 0.05, 0.03, 0.03, 0.03, 0.05, 
## 0.05, 0.05, 0.11, 0.13, 0.14, 0.14, 0.14, 0.14, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.1, 0.08, 0.06, 0.06, 0.08, 0.11, 0.13, 0.13, 
## 0.14, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.1, 0.1, 0.11, 0.08, 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.19, 0.19, 0.19, 0.19, 0.18, 
## 0.18, 0.16, 0.13, 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 0.1, 0.1, 
## 0.11, 0.11, 0.11, 0.13, 0.14, 0.14, 0.13, 0.13, 0.11, 0.1, 0.11, 
## 0.1, 0.1, 0.11, 0.11, 0.11, 0.1, 0.11, 0.1, 0.1, 0.08, 0.06, 
## 0.05, 0.03, 0.03, 0.06, 0.1, 0.11, 0.13, 0.11, 0.11, 0.08, 0.08, 
## 0.08, 0.08, 0.1, 0.1, 0.11, 0.1, 0.13, 0.11, 0.1, 0.08, 0.16, 
## 0.18, 0.18, 0.18, 0.16, 0.16, 0.18, 0.16, 0.11, 0.05, 0.03, 0.03, 
## 0.05, 0.06, 0.08, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.1, 0.1, 0.1, 0.11, 0.13, 0.13, 0.14, 0.14, 0.13, 0.13, 0.14, 
## 0.14, 0.18, 0.16, 0.14, 0.14, 0.13, 0.1, 0.08, 0.08, 0.06, 0.08, 
## 0.06, 0.03, 0.03, 0.06, 0.08, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.14, 0.16, 0.14, 0.14, 0.14, 0.14, 0.13, 0.11, 0.1, 0.1, 0.08, 
## 0.06, 0.05, 0.05, 0.06, 0.06, 0.1, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.11, 0.11, 0.13, 0.13, 0.14, 0.16, 0.16, 0.11, 0.11, 0.13, 0.16, 
## 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.06, 0.06, 0.06, 0.08, 0.08, 0.08, 
## 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.14, 0.13, 
## 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 
## 0.11, 0.05, 0.03, 0.02, 0.03, 0.05, 0.13, 0.14, 0.13, 0.13, 0.11, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.14, 0.14, 0.16, 0.14, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.1, 0.08, 0.1, 0.1, 0.1, 0.08, 0.06, 0.08, 0.08, 
## 0.11, 0.11, 0.1, 0.11, 0.13, 0.14, 0.16, 0.16, 0.16, 0.16, 0.14, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.1, 0.08, 0.1, 0.1, 
## 0.11, 0.13, 0.13, 0.13, 0.14, 0.13, 0.13, 0.11, 0.1, 0.08, 0.08, 
## 0.08, 0.06, 0.06, 0.06, 0.1, 0.11, 0.13, 0.14, 0.16, 0.16, 0.14, 
## 0.13, 0.08, 0.06, 0.06, 0.08, 0.11, 0.11, 0.13, 0.14, 0.14, 0.14, 
## 0.13, 0.08, 0.06, 0.06, 0.06, 0.08, 0.1, 0.08, 0.08, 0.08, 0.06, 
## 0.08, 0.1, 0.11, 0.18, 0.13, 0.11, 0.08, 0.08, 0.1, 0.13, 0.14, 
## 0.14, 0.13, 0.11, 0.13, 0.16, 0.14, 0.14, 0.11, 0.1, 0.1, 0.1, 
## 0.1, 0.11, 0.14, 0.14, 0.16, 0.13, 0.1, 0.08, 0.08, 0.08, 0.06, 
## 0.08, 0.1, 0.11, 0.13, 0.13, 0.13, 0.14, 0.14, 0.13, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.08, 
## 0.08, 0.08, 0.08, 0.08, 0.1, 0.1, 0.18, 0.18, 0.14, 0.14, 0.13, 
## 0.13, 0.11, 0.1, 0.08, 0.06, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
## 0.06, 0.06, 0.06, 0.06, 0.1, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.14, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.1, 0.11, 0.11, 0.16, 0.21, 
## 0.22, 0.24, 0.26, 0.26, 0.27, 0.27, 0.26, 0.26, 0.24, 0.22, 0.21, 
## 0.21, 0.19, 0.18, 0.13, 0.11, 0.1, 0.08, 0.08, 0.06, 0.08, 0.08, 
## 0.06, 0.05, 0.06, 0.06, 0.06, 0.05, 0.05, 0.05, 0.06, 0.08, 0.08, 
## 0.08, 0.1, 0.11, 0.13, 0.14, 0.16, 0.18, 0.19, 0.19, 0.18, 0.16, 
## 0.06, 0.02, -0.05, -0.05, -0.02, 0.03, 0.11, 0.16, 0.19, 0.22, 
## 0.22, 0.22, 0.22, 0.21, 0.19, 0.18, 0.18, 0.18, 0.21, 0.19, 0.16, 
## 0.11, 0.1, 0.08, 0.05, 0.05, 0.05, 0.05, 0.05, 0.06, 0.08, 0.08, 
## 0.08, 0.06, 0.05, 0.05, 0.11, 0.11, 0.08, 0.08, 0.06, 0.06, 0.06, 
## 0.08, 0.1, 0.11, 0.13, 0.14, 0.16, 0.13, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.08, 0.08, 0.08, 0.1, 0.11, 0.1, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.1, 0.1, 0.1, 0.11, 0.14, 
## 0.14, 0.14, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 0.1, 
## 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 0.08, 0.11, 0.13, 0.13, 0.13, 
## 0.13, 0.11, 0.1, 0.13, 0.16, 0.11, 0.1, 0.14, 0.13, 0.11, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 
## 0.1, 0.1, 0.1, 0.08, 0.08, 0.06, 0.08, 0.08, 0.08, 0.08, 0.1, 
## 0.11, 0.13, 0.14, 0.14, 0.16, 0.16, 0.16, 0.14, 0.11, 0.1, 0.1, 
## 0.1, 0.08, 0.06, 0.03, 0.03, 0.06, 0.08, 0.1, 0.13, 0.14, 0.14, 
## 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.13, 0.13, 
## 0.13, 0.13, 0.11, 0.1, 0.06, 0.06, 0.06, 0.08, 0.08, 0.1, 0.11, 
## 0.16, 0.16, 0.13, 0.13, 0.13, 0.13, 0.11, 0.1, 0.1, 0.08, 0.08, 
## 0.08, 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.08, 
## 0.06, 0.06, 0.08, 0.1, 0.11, 0.16, 0.14, 0.16, 0.18, 0.18, 0.18, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.08, 0.06, 0.1, 0.11, 0.11, 0.11, 
## 0.13, 0.06, 0.08, 0.1, 0.11, 0.14, 0.16, 0.16, 0.14, 0.14, 0.14, 
## 0.14, 0.14, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.08, 0.06, 0.08, 0.1, 0.1, 0.13, 0.14, 0.14, 
## 0.16, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.08, 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.08, 0.1, 0.1, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.16, 0.16, 0.18, 0.18, 0.14, 0.1, 
## 0.08, 0.06, 0.06, 0.06, 0.06, 0.06, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.14, 0.14, 0.16, 0.16, 0.14, 0.14, 0.14, 
## 0.13, 0.11, 0.1, 0.1, 0.08, 0.08, 0.08, 0.06, 0.08, 0.1, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 0.1, 0.1, 
## 0.1, 0.11, 0.11, 0.13, 0.11, 0.06, 0.06, 0.06, 0.08, 0.1, 0.1, 
## 0.11, 0.13, 0.14, 0.16, 0.18, 0.16, 0.18, 0.16, 0.14, 0.13, 0.06, 
## 0.06, 0.06, 0.06, 0.06, 0.1, 0.16, 0.14, 0.13, 0.14, 0.13, 0.11, 
## 0.13, 0.14, 0.13, 0.11, 0.13, 0.11, 0.14, 0.18, 0.18, 0.16, 0.14, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.14, 0.13, 0.13, 0.14, 0.13, 
## 0.11, 0.11, 0.08, 0.08, 0.08, 0.06, 0.06, 0.03, 0.11, 0.08, 0.1, 
## 0.11, 0.11, 0.1, 0.08, 0.06, 0.05, 0.06, 0.06, 0.05, 0.05, 0.06, 
## 0.08, 0.1, 0.11, 0.13, 0.13, 0.14, 0.13, 0.11, 0.11, 0.13, 0.18, 
## 0.14, 0.13, 0.13, 0.13, 0.11, 0.1, 0.1, 0.11, 0.14, 0.14, 0.11, 
## 0.1, 0.06, 0.05, 0.03, 0.03, 0, -0.02, -0.02, 0.03, 0.06, 0.1, 
## 0.11, 0.14, 0.16, 0.13, 0.16, 0.16, 0.16, 0.14, 0.14, 0.13, 0.11, 
## 0.11, 0.1, 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 0.08, 0.13, 
## 0.13, 0.14, 0.14, 0.14, 0.13, 0.13, 0.13, 0.11, 0.1, 0.1, 0.08, 
## 0.1, 0.1, 0.1, 0.13, 0.14, 0.14, 0.13, 0.13, 0.13, 0.11, 0.11, 
## 0.13, 0.16, 0.16, 0.18, 0.19, 0.19, 0.18, 0.16, 0.13, 0.03, 0.03, 
## 0.03, 0.06, 0.08, 0.08, 0.1, 0.1, 0.13, 0.13, 0.14, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.13, 0.14, 0.13, 0.11, 0.08, 0.06, 0.05, 0.05, 0.11, 0.1, 
## 0.11, 0.11, 0.06, 0.05, 0.05, 0.03, 0.03, 0.05, 0.06, 0.11, 0.14, 
## 0.14, 0.14, 0.16, 0.16, 0.18, 0.14, 0.14, 0.14, 0.13, 0.08, 0.1, 
## 0.11, 0.1, 0.1, 0.18, 0.16, 0.14, 0.13, 0.1, 0.11, 0.11, 0.06, 
## 0, -0.02, -0.02, -0.03, -0.02, 0, 0.05, 0.06, 0.08, 0.11, 0.13, 
## 0.14, 0.16, 0.18, 0.19, 0.18, 0.18, 0.18, 0.11, 0.13, 0.13, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.06, 0.05, 0.05, 0.06, 0.05, 0.06, 
## 0.05, 0.06, 0.1, 0.11, 0.13, 0.14, 0.13, 0.11, 0.14, 0.16, 0.16, 
## 0.16, 0.18, 0.18, 0.18, 0.06, 0.05, 0.05, 0.06, 0.06, 0.08, 0.08, 
## 0.08, 0.1, 0.11, 0.11, 0.13, 0.14, 0.14, 0.13, 0.13, 0.14, 0.13, 
## 0.21, 0.16, 0.19, 0.19, 0.18, 0.18, 0.14, 0.13, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.14, 0.14, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.06, 0.05, 0.13, 0.14, 0.16, 0.18, 0.16, 0.16, 0.16, 
## 0.14, 0.14, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.13, 0.14, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.08, 0.08, 0.08, 0.1, 0.08, 0.1, 0.13, 0.13, 
## 0.1, 0.1, 0.11, 0.13, 0.14, 0.14, 0.16, 0.14, 0.14, 0.11, 0.1, 
## 0.1, 0.08, 0.08, 0.11, 0.11, 0.11, 0.1, 0.1, 0.08, 0.08, 0.08, 
## 0.08, 0.08, 0.06, 0.06, 0.02, 0, 0, 0.02, 0.03, 0.03, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 0.03, 0.03, 0.03, 
## 0.03, 0.03, 0.05, 0.06, 0.05, 0.03, 0.05, 0.03, 0.03, 0.03, 0.05, 
## 0.05, 0.05, 0.02, 0.03, 0.05, 0.05, 0.06, 0.1, 0.02, -0.05, -0.08, 
## -0.08, -0.1, -0.1, -0.06, -0.05, -0.03, 0, 0, 0.08, 0.1, 0.08, 
## 0.02, -0.02, -0.02, 0, 0.02, 0.02, -0.02, -0.02, 0, 0.03, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, 0, 0.08, 0.1, 0.11, 
## 0.11, -0.1, -0.11, -0.11, -0.1, -0.1, -0.03, -0.02, 0.02, 0.03, 
## 0.05, 0.05, 0.05, 0.02, 0.03, 0.03, 0.03, 0.05, 0.06, 0.06, 0.1, 
## 0.1, 0.08, 0.03, 0.02, 0, 0, -0.13, -0.11, -0.08, -0.06, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, 0.02, 
## 0.03, 0.1, 0.14, 0.14, 0.13, 0.1, 0.08, 0.06, 0.05, 0.06, 0.08, 
## 0.08, 0.18, 0.16, 0.14, -0.43, -0.45, -0.45, -0.45, -0.39, -0.39, 
## -0.47, -0.47, -0.45, -0.39, -0.37, -0.37, -0.4, -0.42, -0.4, 
## -0.42, -0.42, -0.39, -0.37, -0.39, -0.39, -0.35, -0.34, -0.35, 
## -0.4, -0.45, -0.47, -0.45, -0.39, -0.39, -0.37, -0.39, -0.42, 
## -0.37, -0.39, -0.4, -0.42, -0.43, -0.47, -0.48, -0.48, -0.48, 
## -0.51, -0.5, -0.5, -0.5, -0.53, -0.56, -0.55, -0.48, -0.47, -0.45, 
## -0.45, -0.45, -0.45, -0.45, -0.48, -0.5, -0.5, -0.48, -0.47, 
## -0.35, -0.37, -0.37, -0.37, -0.35, -0.4, -0.43, -0.42, -0.42, 
## -0.4, -0.39, -0.39, -0.4, -0.39, -0.45, -0.43, -0.43, -0.4, -0.4, 
## -0.4, -0.42, -0.4, -0.4, -0.39, -0.37, -0.37, -0.39, -0.4, -0.39, 
## -0.39, -0.39, -0.35, -0.35, -0.39, -0.47, -0.5, -0.48, -0.45, 
## -0.42, -0.42, -0.42, -0.47, -0.47, -0.45, -0.43, -0.42, -0.4, 
## -0.42, -0.43, -0.45, -0.43, -0.43, -0.39, -0.4, -0.4, -0.47, 
## 0.05, 0.06, 0.08, 0.11, 0.11, 0.11, 0.1, 0.08, 0.08, 0.06, 0.05, 
## 0.05, 0.03, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.03, 0.05, 0.08, 
## 0.1, 0.1, 0.11, 0.1, 0.1, 0.06, 0.05, 0.02, -0.02, 0.02, 0.03, 
## 0.05, 0.05, 0.05, 0.05, 0.02, -0.02, -0.03, -0.05, -0.06, -0.06, 
## -0.08, -0.05, -0.05, -0.05, -0.03, 0.02, 0.03, 0.03, -0.02, -0.02, 
## -0.02, -0.03, -0.02, 0.03, 0.05, 0.1, 0.1, 0.08, 0.03, 0, -0.02, 
## -0.02, 0, 0, 0.02, 0.02, 0, 0, 0.02, 0, 0.03, 0, 0.02, 0.02, 
## 0, -0.02, 0, 0.02, 0.03, 0.03, -0.02, 0, 0, -0.03, -0.06, -0.06, 
## -0.06, -0.06, -0.02, 0, 0.02, 0.03, 0.05, 0.06, 0.05, -0.02, 
## -0.02, 0.1, 0.11, 0.1, 0.02, 0, -0.02, -0.03, -0.05, -0.03, -0.02, 
## -0.02, 0, -0.02, -0.02, 0, 0.03, 0.03, 0.03, 0.03, 0.02, 0.05, 
## 0.05, 0.03, 0.02, 0, 0, 0, 0, 0, 0, 0.03, 0, -0.02, -0.05, -0.05, 
## -0.05, -0.08, -0.03, 0, 0.02, 0.02, 0.02, 0.03, 0.05, 0.05, 0.03, 
## 0.05, 0.05, 0.05, 0.06, 0.06, 0.08, 0.06, 0.06, 0.06, 0.05, 0.05, 
## 0.03, 0.03, 0.05, 0.05, 0.05, 0.06, 0.06, 0.08, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.06, 0.03, 0.02, 0, 0.02, 0.02, 
## 0.02, 0.03, 0.03, 0.02, 0.03, 0.02, 0, 0.02, 0.03, 0.02, 0.02, 
## 0, 0.02, 0.05, 0.05, 0.02, -0.02, -0.03, -0.37, -0.37, -0.37, 
## -0.39, -0.4, -0.43, -0.43, -0.45, -0.43, -0.43, -0.42, -0.39, 
## -0.37, -0.39, -0.42, -0.45, -0.48, -0.48, -0.48, -0.48, -0.5, 
## -0.48, -0.48, -0.45, -0.42, -0.43, -0.39, -0.37, -0.39, -0.39, 
## -0.4, -0.4, -0.4, -0.42, -0.48, -0.47, -0.47, -0.47, -0.5, -0.5, 
## -0.48, -0.45, -0.42, -0.39, -0.37, -0.35, -0.37, -0.39, -0.4, 
## -0.42, -0.42, -0.45, -0.48, -0.48, -0.55, -0.47, -0.39, -0.42, 
## -0.47, -0.32, -0.31, -0.31, -0.32, -0.34, -0.37, -0.42, -0.42, 
## -0.45, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.43, -0.43, -0.43, 
## -0.45, -0.45, -0.43, -0.4, -0.4, -0.42, -0.4, -0.45, -0.43, -0.43, 
## -0.43, -0.45, -0.5, -0.5, -0.51, -0.51, -0.55, -0.55, -0.55, 
## -0.55, -0.5, -0.48, -0.43, -0.4, -0.39, -0.39, -0.39, -0.37, 
## -0.4, -0.42, -0.43, -0.43, -0.45, -0.48, -0.47, -0.47, -0.47, 
## -0.39, -0.39, -0.39, -0.35, -0.34, -0.34, -0.35, -0.42, -0.43, 
## -0.45, -0.43, -0.43, -0.43, -0.4, -0.43, -0.42, -0.42, -0.43, 
## -0.43, -0.45, -0.45, -0.48, -0.48, -0.5, -0.5, -0.48, -0.43, 
## -0.43, -0.43, -0.45, -0.45, -0.42, -0.42, -0.42, -0.39, -0.39, 
## -0.39, -0.4, -0.42, -0.43, -0.43, -0.42, -0.42, -0.42, -0.42, 
## -0.4, -0.42, -0.43, -0.45, -0.47, -0.48, -0.48, -0.48, -0.5, 
## -0.51, -0.51, -0.51, -0.45, -0.42, -0.37, -0.34, -0.34, -0.34, 
## -0.34, -0.39, -0.45, -0.48, -0.56, -0.51, -0.47, -0.43, -0.43, 
## -0.42, -0.4, -0.32, -0.34, -0.35, -0.35, -0.39, -0.45, -0.47, 
## -0.47, -0.48, -0.48, -0.48, -0.48, -0.47, -0.47, -0.47, -0.48, 
## -0.48, -0.5, -0.42, -0.43, -0.45, -0.45, -0.45, -0.47, -0.45, 
## -0.43, -0.43, -0.45, -0.43, -0.43, -0.43, -0.43, -0.4, -0.4, 
## -0.42, -0.43, -0.43, -0.45, -0.47, -0.5, -0.5, -0.5, -0.5, -0.48, 
## -0.48, -0.47, -0.47, -0.39, -0.35, -0.34, -0.35, -0.35, -0.35, 
## -0.37, -0.39, -0.39, -0.37, -0.39, -0.37, -0.39, -0.42, -0.48, 
## -0.48, -0.5, -0.48, -0.48, -0.48, -0.48, -0.48, -0.43, -0.42, 
## -0.4, -0.4, -0.4, -0.4, -0.42, -0.4, -0.42, -0.39, -0.39, -0.39, 
## -0.39, -0.37, -0.39, -0.43, -0.43, -0.48, -0.48, -0.5, -0.5, 
## -0.48, -0.47, -0.43, -0.43, -0.4, -0.39, -0.39, -0.39, -0.4, 
## -0.4, -0.4, -0.39, -0.4, -0.42, -0.42, -0.43, -0.43, -0.47, -0.48, 
## -0.51, -0.53, -0.53, -0.53, -0.51, -0.5, -0.48, -0.47, -0.4, 
## -0.37, -0.32, -0.32, -0.34, -0.34, -0.35, -0.34, -0.34, -0.35, 
## -0.37, -0.4, -0.48, -0.51, -0.5, -0.55, -0.55, -0.5, -0.43, -0.42, 
## -0.42, -0.4, -0.39, -0.35, -0.35, -0.39, -0.39, -0.39, -0.45, 
## -0.48, -0.48, -0.47, -0.47, -0.48, -0.47, -0.48, -0.48, -0.48, 
## -0.5, -0.5, -0.51, -0.51, -0.55, -0.34, -0.35, -0.42, -0.5, -0.51, 
## -0.53, -0.58, -0.56, -0.5, -0.53, -0.48, -0.42, -0.4, -0.4, -0.43, 
## -0.43, -0.43, -0.42, -0.43, -0.43, -0.4, -0.39, -0.39, -0.39, 
## -0.4, -0.5, -0.51, -0.5, -0.5, -0.42, -0.4, -0.34, -0.29, -0.26, 
## 0.14, 0.14, 0.14, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.1, 0.1, 
## 0.11, 0.11, 0.1, 0.1, 0.08, 0.11, 0.14, 0.14, 0.14, 0.13, 0.11, 
## 0.13, 0.13, 0.13, 0.16, 0.14, 0.13, 0.13, 0.08, 0.08, 0.08, 0.1, 
## 0.08, 0.08, 0.08, 0.08, 0.1, 0.1, 0.11, 0.1, 0.06, 0.08, 0.1, 
## 0.14, 0.14, 0.16, 0.16, 0.16, 0.13, 0.11, 0.1, 0.08, 0.1, 0.11, 
## 0.13, 0.11, 0.08, 0.06, 0.08, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.16, 0.18, 0.18, 0.18, 0.13, 0.1, 0.06, 0.08, 
## 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.1, 0.08, 0.08, 0.08, 0.08, 
## 0.1, 0.1, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.08, 0.08, 0.08, 
## 0.06, 0.06, 0.03, 0.03, 0.05, 0.06, 0.08, 0.1, 0.11, 0.14, 0.14, 
## 0.14, 0.14, 0.16, 0.14, 0.13, 0.11, 0.1, 0.08, 0.06, 0.06, 0.06, 
## 0.06, 0.05, 0.05, 0.05, 0.05, 0.06, 0.1, 0.11, 0.11, 0.13, 0.18, 
## 0.19, 0.14, 0.13, 0.1, 0.08, 0.08, 0.1, 0.13, 0.14, 0.14, 0.16, 
## 0.16, 0.18, 0.16, 0.16, 0.18, 0.14, 0.13, 0.11, 0.08, 0.06, 0.08, 
## 0.13, 0.14, 0.13, 0.13, 0.11, 0.1, 0.08, 0.06, 0.06, 0.05, 0.08, 
## 0.11, 0.13, 0.13, 0.16, 0.16, 0.14, 0.13, 0.13, 0.1, 0.06, 0.08, 
## 0.08, 0.06, 0.06, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.13, 0.16, 0.18, 0.19, 0.18, 0.1, 0.08, 0.06, 0.08, 0.08, 0.1, 
## 0.1, 0.13, 0.14, 0.14, 0.13, 0.19, 0.16, 0.13, 0.11, 0.11, 0.1, 
## 0.02, 0.02, 0.03, 0.08, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.08, 0.06, 0.05, 0.03, 0.05, 0.06, 0.18, 0.19, 0.13, 
## 0.13, 0.06, 0.06, 0.1, 0.1, 0.1, 0.1, 0.11, 0.1, 0.06, 0.06, 
## 0.06, 0.08, 0.1, 0.11, 0.11, 0.11, 0.13, 0.16, 0.18, 0.16, 0.14, 
## 0.11, 0.1, -0.02, -0.02, -0.02, 0.03, 0.05, 0.06, 0.08, 0.1, 
## 0.11, 0.11, 0.08, 0.08, 0.08, 0.1, 0.14, 0.18, 0.19, 0.21, 0.24, 
## 0.32, 0.29, 0.26, 0.24, 0.24, 0.24, 0.18, 0.14, 0.13, 0.13, 0.11, 
## 0.1, 0.02, 0.02, 0.05, 0.02, 0, 0, 0, 0, 0.02, 0.03, 0.03, 0, 
## -0.02, -0.05, -0.14, -0.19, -0.18, -0.18, -0.16, -0.1, -0.1, 
## 0.02, 0.05, -0.02, 0.02, 0.06, 0.14, 0.16, 0.14, 0.14, 0.18, 
## 0.21, 0.22, 0.26, 0.21, 0.18, 0.13, 0.06, -0.11, -0.14, -0.16, 
## -0.1, -0.05, 0, 0.11, 0.18, 0.21, 0.21, 0.22, 0.22, 0.21, 0.14, 
## 0.14, -0.03, -0.03, -0.08, -0.08, -0.06, 0.02, 0.06, 0.08, 0.03, 
## 0.02, -0.02, -0.03, -0.02, 0, 0, 0, 0, -0.18, -0.24, -0.24, -0.31, 
## -0.26, -0.16, -0.13, -0.1, -0.05, 0.03, 0.14, 0.16, 0.14, 0.14, 
## 0.18, 0.19, 0.21, 0.22, 0.21, 0.16, 0.1, 0.08, 0.05, 0.02, -0.02, 
## -0.02, -0.11, -0.18, -0.21, -0.19, -0.21, -0.21, -0.21, -0.18, 
## -0.11, 0.06, 0.13, 0.11, -0.14, -0.1, -0.1, -0.13, -0.11, -0.02, 
## 0.03, 0.11, 0.16, 0.34, 0.32, 0.29, 0.16, 0.14, 0.08, 0.05, -0.02, 
## -0.05, -0.08, -0.06, -0.08, -0.1, -0.11, -0.11, -0.13, -0.13, 
## 0.02, 0.06, 0.1, 0.02, -0.06, -0.13, -0.19, -0.11, 0.11, 0.14, 
## 0.13, 0.1, 0.05, 0.02, 0.02, 0.03, 0.06, 0.1, 0.14, 0.13, 0.03, 
## -0.13, -0.21, -0.26, -0.24, -0.05, -0.1, -0.16, -0.18, -0.18, 
## -0.18, -0.22, -0.11, -0.05, 0, -0.08, 0.03, 0.1, 0.21, 0.24, 
## 0.24, 0.19, 0.1, 0.03, -0.02, -0.08, -0.06, -0.03, 0, 0.02, 0.03, 
## 0.05, 0, -0.03, -0.11, -0.14, -0.13, -0.11, -0.1, -0.1, -0.1, 
## -0.06, 0.13, 0.21, 0.14, 0.1, 0.06, 0.06, 0.08, 0.08, 0.1, 0.1, 
## 0.08, 0.05, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, -0.05, 
## -0.1, -0.18, -0.16, -0.14, 0.03, -0.05, -0.14, -0.19, -0.08, 
## -0.05, -0.05, 0.02, 0.08, 0.13, 0.14, 0.13, 0.11, 0, 0, 0.02, 
## 0.05, 0.08, 0.1, 0.1, 0.05, 0.03, -0.02, -0.06, -0.14, -0.13, 
## -0.11, -0.03, 0.05, 0.11, 0.18, 0.19, 0.02, 0.05, 0.08, 0.1, 
## 0.1, 0.11, 0.1, 0.08, 0.06, 0.05, 0.03, 0.02, 0, 0, 0.06, 0.11, 
## 0.13, 0.13, 0.13, 0.14, 0.11, 0.02, -0.03, -0.06, -0.08, -0.02, 
## 0.03, 0.02, -0.03, -0.02, 0.08, 0.14, 0.18, 0.14, 0.11, 0.08, 
## 0.05, 0.03, 0.05, 0.06, 0.05, -0.02, -0.18, -0.21, -0.26, -0.27, 
## -0.29, -0.26, -0.24, -0.19, -0.08, -0.08, -0.13, -0.24, -0.19, 
## -0.13, -0.02, 0.05, 0.13, 0.21, 0.19, 0.26, 0.26, 0.26, 0.24, 
## 0.26, 0.21, 0.13, 0.03, 0, -0.03, -0.08, -0.11, -0.02, 0.02, 
## 0.06, -0.02, -0.05, -0.03, 0.1, 0.08, 0.06, 0.06, 0.08, 0.1, 
## 0.06, 0.02, -0.02, -0.02, 0.05, 0.06, 0.08, 0, -0.08, -0.13, 
## -0.18, -0.27, -0.31, -0.27, -0.26, -0.22, -0.22, -0.22, 0.05, 
## 0.06, 0.05, 0.02, -0.1, -0.13, -0.16, -0.16, -0.13, -0.1, 0.02, 
## 0.1, 0.13, 0.14, 0.14, 0.16, 0.22, 0.26, 0.29, 0.29, 0.26, 0.22, 
## 0.06, 0, -0.05, -0.11, -0.11, -0.05, 0.03, 0.06, 0, -0.14, -0.11, 
## -0.06, -0.03, -0.02, -0.05, -0.06, 0.03, 0.08, 0.16, 0.16, 0.14, 
## 0.08, 0.06, 0.08, 0.1, 0.11, 0.14, 0.1, 0.1, 0.1, 0.08, 0.05, 
## 0.02, -0.02, 0.02, 0.05, 0.05, -0.02, -0.06, -0.14, -0.11, -0.02, 
## 0, 0, 0.02, 0.02, -0.08, -0.08, 0.02, 0.06, 0.13, 0.22, 0.31, 
## 0.29, 0.26, 0.22, 0.19, 0.19, 0.11, -0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.03, 0.03, 0.03, 0.03, 0.1, 0.14, 0.16, 0.18, 0.16, 0.14, 
## 0.11, 0.1, 0.05, 0.03, 0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, 
## -0.02, -0.02, 0.13, 0.14, 0.06, 0.02, 0, 0, -0.05, -0.05, -0.05, 
## -0.06, -0.06, -0.05, -0.03, -0.02, 0, -0.02, 0, 0, 0, 0.05, 0.06, 
## 0.06, 0.06, 0.05, 0.05, 0, -0.02, -0.02, -0.03, -0.03, -0.06, 
## -0.06, -0.05, -0.03, -0.02, 0, 0.02, 0.03, 0.05, 0.14, 0.18, 
## 0.18, 0.14, 0.11, 0.08, 0.02, -0.02, -0.06, -0.06, -0.03, -0.03, 
## -0.03, 0, 0.02, 0.03, 0.03, 0.02, 0, -0.02, -0.02, -0.02, -0.02, 
## 0.02, 0.02, 0.03, 0.05, 0.06, 0.06, 0.05, 0.03, 0.03, 0.03, 0.03, 
## 0.03, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, -0.02, 0, -0.02, 0, 
## -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, 0, 0.03, 0.06, 0.13, 
## 0.14, 0.08, 0.06, -0.02, -0.03, -0.02, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0, -0.05, -0.05, -0.05, -0.03, 0.02, 0.08, 0.1, 0.11, 0.14, 
## 0.11, 0.1, 0.08, 0.08, 0.06, 0.05, 0.02, -0.02, -0.02, -0.05, 
## -0.05, -0.05, -0.03, -0.08, -0.06, -0.08, -0.08, -0.05, -0.02, 
## 0.06, 0.1, 0.13, 0.11, 0.08, 0.05, 0.05, 0.05, 0, 0, 0.03, 0, 
## -0.02, 0, 0.02, -0.03, -0.02, -0.02, 0.02, 0.03, 0.06, 0.1, 0.1, 
## 0.08, 0.06, 0.06, 0.02, 0.02, -0.02, -0.03, -0.06, -0.05, -0.03, 
## -0.02, -0.03, -0.05, -0.06, -0.05, -0.02, 0.1, 0.08, 0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.06, -0.06, 
## -0.06, -0.05, -0.02, 0.02, 0.05, 0.08, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.06, 0.03, -0.02, -0.06, -0.06, -0.06, -0.05, 
## -0.03, -0.02, 0, -0.02, -0.02, 0, 0.06, 0.08, 0.08, 0.05, 0.03, 
## 0.02, 0.02, 0, -0.02, -0.05, -0.06, -0.06, -0.06, -0.05, -0.03, 
## -0.02, 0, 0.03, 0.05, 0.05, 0.02, -0.03, -0.05, -0.05, -0.03, 
## 0.02, 0.1, 0.1, 0.05, 0.03, 0.03, 0.02, 0.03, 0.06, 0.03, 0.02, 
## 0, 0, 0.02, 0.03, 0.02, 0, -0.03, -0.03, -0.02, 0, 0.02, 0.03, 
## 0.1, 0.1, 0.08, 0, 0, -0.03, -0.05, -0.06, -0.08, -0.06, -0.06, 
## -0.05, -0.03, -0.03, -0.02, -0.02, 0.05, 0.03, 0.02, -0.02, 0, 
## -0.03, 0.03, 0.11, 0.14, 0.19, 0.21, 0.21, 0.19, 0.06, 0.02, 
## 0.02, -0.03, -0.05, -0.05, -0.03, -0.02, -0.02, 0, 0, 0.02, 0.03, 
## 0.02, 0.02, 0.03, 0.03, 0.03, 0, -0.02, -0.03, -0.05, -0.03, 
## -0.02, 0.02, 0.18, 0.05, -0.05, -0.05, -0.03, -0.03, -0.02, -0.05, 
## -0.06, -0.08, -0.1, -0.08, -0.06, -0.05, 0, 0.02, 0.06, 0.1, 
## 0.11, 0.08, 0.06, 0.03, 0.03, 0.06, 0.05, 0, -0.02, -0.02, -0.03, 
## -0.03, -0.05, -0.06, -0.05, -0.03, 0.13, 0.16, 0.19, 0.18, -0.02, 
## 0, 0.02, -0.02, -0.02, -0.03, -0.05, -0.06, -0.03, 0.02, 0.02, 
## 0.03, 0.05, 0.05, 0.05, 0.05, 0.03, 0.02, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0, 0.02, 0.03, 0, -0.02, -0.02, -0.03, -0.03, 
## -0.02, 0, 0.02, 0.03, 0.1, 0.13, 0.16, 0.13, 0.11, 0.06, 0.03, 
## 0, 0, -0.02, -0.02, -0.02, -0.06, -0.08, 0, 0.1, 0.21, 0.21, 
## 0.14, 0.06, 0.05, 0.03, 0.03, 0.02, 0, -0.02, -0.05, -0.05, -0.05, 
## -0.05, -0.06, -0.06, -0.06, -0.05, -0.03, 0, 0.02, 0.08, 0.06, 
## 0.06, 0.05, 0.03, -0.02, -0.02, -0.03, -0.02, 0, 0, 0.02, 0.05, 
## 0.05, 0.03, 0.03, 0.16, 0.16, 0.13, 0.06, 0.02, 0.02, 0.05, 0.03, 
## -0.05, -0.11, -0.11, -0.1, -0.08, -0.08, -0.06, -0.05, -0.03, 
## -0.02, 0, 0.06, 0.06, 0.06, 0.06, 0.06, 0.03, 0.02, -0.03, -0.03, 
## -0.05, -0.03, -0.02, 0.02, 0.05, 0.06, 0.1, 0.14, 0.14, 0.1, 
## 0.05, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, 
## -0.03, -0.03, 0.02, 0.02, 0.03, 0.05, 0.05, 0.03, 0.02, 0, 0, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.11, 0.13, 0.02, 0, 0.02, 0.03, 
## 0.03, 0.03, 0.03, 0.03, 0, -0.05, -0.08, -0.08, -0.08, -0.1, 
## -0.1, -0.08, -0.03, -0.03, 0.06, 0.1, 0.1, 0.06, 0.05, 0.05, 
## 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, -0.02, 0, 0.02, 0.06, 
## 0.13, 0.22, 0.11, 0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 
## 0.03, 0.03, 0.05, 0.05, 0.06, 0.06, 0.06, 0.03, 0.02, 0, -0.02, 
## 0.02, 0.03, 0.05, 0.06, 0.1, -0.03, -0.08, -0.08, -0.11, -0.08, 
## -0.03, 0.03, 0.1, 0.13, 0.05, 0.02, -0.03, -0.03, -0.02, -0.02, 
## 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 
## 0, 0.02, 0.02, 0.03, 0.02, 0.03, 0.02, 0.03, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.03, -0.02, -0.03, -0.03, -0.03, 0, 0.02, 0.03, 0, 0, 0, -0.02, 
## 0, -0.02, -0.03, -0.05, -0.05, -0.05, -0.05, -0.02, 0, 0.02, 
## 0.02, 0.03, 0.05, 0.05, 0.05, 0.03, 0.05, 0.06, 0.08, 0.08, 0.1, 
## 0.06, 0.05, 0.02, 0.11, 0.16, 0.16, 0.02, -0.08, -0.06, -0.06, 
## -0.05, 0.05, 0.1, 0.08, -0.02, 0, 0, 0.02, 0.02, 0.03, 0.03, 
## 0.02, 0, 0.1, 0.08, 0.08, 0.08, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.14, 0.14, 0.14, 0.13, 0.1, 
## 0.14, 0.16, 0.14, 0.11, 0.13, 0.11, 0.11, 0.1, 0.08, 0.1, 0.1, 
## 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 0.13, 
## 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.06, 0.06, 0.06, 
## 0.08, 0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.13, 0.14, 0.13, 0.11, 
## 0.11, 0.13, 0.14, 0.14, 0.13, 0.13, 0.1, 0.06, 0.1, 0.1, 0.11, 
## 0.13, 0.13, 0.14, 0.16, 0.14, 0.13, 0.11, 0.1, 0.11, 0.1, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.08, 0.06, 0.06, 0.11, 0.11, 0.13, 0.11, 0.16, 0.16, 0.13, 0.14, 
## 0.19, 0.18, 0.19, 0.19, 0.19, 0.18, 0.18, 0.16, 0.14, 0.14, 0.14, 
## 0.14, 0.16, 0.16, 0.14, 0.14, 0.13, 0.11, 0.08, 0.08, 0.08, 0.08, 
## 0.06, 0.06, 0.08, 0.06, 0.06, 0.08, 0.08, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.14, 0.13, 
## 0.13, 0.11, 0.1, 0.1, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 
## 0.11, 0.13, 0.13, 0.13, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.1, 
## 0.08, 0.1, 0.11, 0.1, 0.1, 0.13, 0.13, 0.14, 0.14, 0.14, 0.11, 
## 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.14, 0.14, 0.14, 0.13, 0.1, 
## 0.08, 0.06, 0.06, 0.06, 0.06, 0.08, 0.11, 0.14, 0.16, 0.16, 0.14, 
## 0.14, 0.11, 0.1, 0.1, 0.08, 0.1, 0.1, 0.1, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.1, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.13, 0.18, 0.19, 
## 0.21, 0.21, 0.18, 0.14, 0.1, 0.06, 0.06, 0.08, 0.11, 0.11, 0.11, 
## 0.1, 0.1, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.08, 0.06, 0.05, 0.03, 
## 0.14, 0.16, 0.18, 0.18, 0.18, 0.16, 0.16, 0.1, 0.08, 0.06, 0.06, 
## 0.05, 0.05, 0.08, 0.06, 0.02, 0.06, 0.14, 0.26, 0.37, 0.4, 0.42, 
## 0.43, 0.43, 0.42, 0.4, 0.37, 0.34, 0.4, 0.4, 0.39, 0.37, 0.31, 
## 0.27, 0.24, 0.18, 0.11, 0.05, 0.05, 0.03, 0.14, 0.16, 0.22, 0.24, 
## 0.24, 0.21, 0.19, 0.14, 0.14, 0.02, 0, 0.02, 0.03, 0.05, 0.05, 
## 0.08, 0.06, 0.13, 0.13, 0.1, 0.1, 0.1, 0.08, 0.08, 0.1, 0.13, 
## 0.14, 0.16, 0.16, 0.19, 0.19, 0.19, 0.05, -0.02, 0.02, 0.03, 
## 0.02, -0.03, -0.06, -0.05, 0.08, 0.1, 0.1, 0.08, 0.08, 0.08, 
## 0.08, 0.1, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.13, 0.11, 
## 0.11, 0.1, 0.1, 0.16, 0.16, 0.13, 0.11, 0.1, 0.1, 0.1, 0.1, 0.13, 
## 0.13, 0.1, 0.08, 0.06, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.06, 
## 0.06, 0.06, 0.06, 0.1, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 
## 0.13, 0.14, 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.05, 0.06, 0.08, 
## 0.1, 0.1, 0.11, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.14, 0.16, 0.16, 
## 0.16, 0.14, 0.13, 0.11, 0.1, 0.1, 0.08, 0.1, 0.1, 0.11, 0.1, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 0.08, 0.06, 0.1, 0.11, 
## 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.08, 0.08, 0.08, 0.08, 
## 0.08, 0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.18, 0.16, 0.16, 
## 0.14, 0.11, 0.05, 0, -0.03, 0, 0.02, 0.03, 0.13, 0.14, 0.16, 
## 0.21, 0.22, 0.27, 0.27, 0.18, 0.14, 0.11, 0.08, 0.1, 0.11, 0.11, 
## 0.13, 0.13, 0.34, 0.22, 0.21, 0.19, 0.18, 0.13, 0.08, 0.03, 0, 
## -0.02, -0.02, -0.03, -0.05, -0.05, -0.06, -0.05, -0.03, 0, 0.05, 
## 0.05, 0.08, 0.08, 0.08, 0.08, 0.06, 0.03, 0.03, 0.06, 0.06, 0.06, 
## 0.08, 0.13, 0.21, 0.22, 0.21, 0.19, 0.18, 0.13, 0.13, 0.11, 0.13, 
## 0.11, 0.11, 0.08, 0.06, 0.05, 0.05, 0.05, 0.06, 0.1, 0.1, 0.1, 
## 0.11, 0.11, 0.13, 0.14, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 0.13, 
## 0.1, 0.05, 0.03, 0.05, 0.05, 0.05, 0.08, 0.08, 0.08, 0.08, 0.08, 
## 0.08, 0.13, 0.13, 0.14, 0.16, 0.19, 0.21, 0.22, 0.22, 0.21, 0.21, 
## 0.18, 0.14, 0.1, 0.1, 0.08, 0.06, 0.06, 0.06, 0.05, 0.08, 0.06, 
## 0.06, 0.05, 0.05, 0.05, 0.06, 0.08, 0.06, 0.08, 0.08, 0.08, 0.1, 
## 0.1, 0.1, 0.11, 0.11, 0.11, 0.13, 0.14, 0.14, 0.18, 0.18, 0.18, 
## 0.18, 0.18, 0.18, 0.16, 0.14, 0.11, 0.1, 0.08, 0.08, 0.11, 0.13, 
## 0.13, 0.11, 0.1, 0.1, 0.08, 0.06, 0.08, 0.08, 0.08, 0.1, 0.1, 
## 0.08, 0.08, 0.06, 0.06, 0.08, 0.1, 0.1, 0.11, 0.11, 0.13, 0.16, 
## 0.16, 0.16, 0.14, 0.13, 0.11, 0.11, 0.1, 0.11, 0.11, 0.1, 0.1, 
## 0.11, 0.11, 0.06, 0.08, 0.1, 0.21, 0.21, 0.19, 0.14, 0.03, 0.05, 
## 0.06, 0.11, 0.08, 0.08, 0.08, 0.08, 0.1, 0.11, 0.11, 0.11, 0.13, 
## 0.14, 0.14, 0.16, 0.16, 0.16, 0.13, 0.16, 0.14, 0.16, 0.16, 0.18, 
## 0.16, 0.14, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.13, 0.13, 0.13, 0.14, 0.14, 0.13, 0.14, 0.14, 0.13, 0.13, 0.13, 
## 0.11, 0.08, 0.1, 0.1, 0.06, 0.08, 0.1, 0.11, 0.13, 0.13, 0.13, 
## 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.08, 
## 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.1, 
## 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.06, 0.06, 0.06, 0.08, 
## 0.08, 0.11, 0.16, 0.16, 0.14, 0.13, 0.13, 0.11, 0.06, 0.08, 0.08, 
## 0.1, 0.1, 0.11, 0.11, 0.13, 0.11, 0.14, 0.16, 0.16, 0.14, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.08, 0.13, 0.13, 0.13, 
## 0.13, 0.16, 0.13, 0.11, 0.08, 0.05, 0.03, 0.03, 0, 0.03, 0.03, 
## 0.02, 0.05, 0.06, 0.08, 0.13, 0.18, 0.21, 0.26, 0.05, 0.03, 0.03, 
## 0.03, 0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 0, 0.02, 0.02, 
## 0.03, 0.03, 0.03, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0, 
## 0.02, 0.06, 0.02, -0.05, -0.06, -0.13, -0.11, -0.1, -0.03, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, 0.02, 0.03, 0.03, 0.02, 
## 0.02, 0.02, -0.03, -0.03, -0.03, -0.06, -0.08, -0.08, -0.1, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 0, 0, 0, 0.03, 
## -0.02, -0.06, -0.06, -0.05, -0.03, -0.02, -0.02, 0.05, 0.11, 
## 0.16, 0.19, 0.18, 0.14, 0, -0.02, -0.03, -0.03, 0.02, 0.02, 0.02, 
## 0.02, -0.02, -0.02, -0.03, -0.03, 0, 0.02, 0, -0.13, -0.11, -0.14, 
## -0.14, 0.11, 0.06, 0.03, 0.06, 0.19, 0.13, 0.1, 0.08, 0.06, 0.05, 
## 0.03, 0.05, 0.06, 0.1, 0.05, -0.21, -0.19, -0.18, -0.08, 0.05, 
## 0.08, 0.08, 0.13, 0.16, 0.24, 0.24, 0.21, 0.18, 0.03, 0, 0, 0.03, 
## 0.05, 0, -0.05, -0.06, -0.1, -0.13, -0.13, -0.13, -0.14, -0.08, 
## -0.02, 0.11, 0.26, 0.29, 0.29, 0.24, 0.06, -0.05, -0.11, -0.08, 
## -0.02, 0.1, 0.11, 0.13, 0.11, 0.1, 0.06, 0.03, 0, 0, 0, 0.03, 
## 0.06, 0.1, 0.05, 0.03, -0.02, 0, 0, 0.02, -0.16, -0.03, -0.05, 
## -0.02, 0.06, 0.1, 0.11, 0.11, 0.11, 0.13, 0.11, 0.1, 0.1, 0.08, 
## 0.11, 0.11, 0.08, 0.05, -0.05, -0.11, -0.1, -0.08, 0.02, 0, -0.06, 
## -0.1, 0.02, 0.03, 0.16, 0.16, 0.13, 0.11, 0.1, 0.1, 0.06, 0.06, 
## 0.06, 0.03, 0.1, 0.1, 0.08, 0.05, -0.03, -0.03, -0.06, -0.13, 
## -0.08, -0.05, -0.08, -0.1, -0.11, -0.08, -0.43, -0.45, -0.43, 
## -0.43, -0.43, -0.43, -0.43, -0.42, -0.42, -0.42, -0.43, -0.45, 
## -0.48, -0.51, -0.51, -0.53, -0.51, -0.5, -0.5, -0.48, -0.47, 
## -0.39, -0.35, -0.37, -0.39, -0.39, -0.48, -0.48, -0.53, -0.5, 
## -0.42, -0.32, -0.32, -0.35, -0.39, -0.39, -0.37, -0.4, -0.43, 
## -0.5, -0.47, -0.5, -0.47, -0.45, -0.45, -0.47, -0.47, -0.47, 
## -0.43, -0.43, -0.5, -0.5, -0.51, -0.51, -0.51, -0.48, -0.47, 
## -0.43, -0.39, -0.42, -0.43, -0.45, -0.43, -0.39, -0.35, -0.37, 
## -0.42, -0.42, -0.45, -0.42, -0.4, -0.4, -0.39, -0.37, -0.39, 
## -0.4, -0.42, -0.42, -0.42, -0.43, -0.43, -0.47, -0.48, -0.5, 
## -0.51, -0.53, -0.51, 0.08, 0.1, 0.11, 0.08, 0.08, 0.08, 0.08, 
## 0.06, 0.06, 0.06, 0.03, 0.02, 0.02, 0, -0.02, -0.05, -0.06, -0.08, 
## -0.1, -0.11, -0.02, 0.06, 0.06, 0.03, 0.02, 0.02, 0.05, 0.11, 
## 0.08, 0.06, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0.02, 
## 0.02, 0.03, 0, 0.02, 0.03, 0.03, 0.1, 0.06, 0.06, 0.06, 0.08, 
## 0.08, 0.06, 0.05, 0.03, 1.88, 1.8, 1.77, 1.78, 1.65, 1.3, 1.49, 
## 1.51, 1.38, 1.2, 1.01, 1.12, 0.55, 0.53, 0.51, 0.8, 0.82, 0.77, 
## 0.71, 0.63, 0.53, 0.5, 0.42, 0.37, 0.32, 0.26, 0.21, 0.18, 0.13, 
## 0.11, -0.02, -0.05, -0.02, 0.02, 0.08, 0.11, 0.1, 0.1, 0.1, 0.11, 
## 0.13, 0.02, 0.03, 0.05, 0.37, 0.32, 0.31, 0.31, 0.29, 0.22, 0.14, 
## -0.02, -0.03, -0.05, -0.02, 0.02, 0.05, 0.1, 0.14, 0.16, 0.29, 
## 0.27, 0.22, 0.13, 0.08, -0.05, -0.11, -0.21, -0.19, -0.02, -0.02, 
## -0.03, -0.03, -0.05, -0.13, -0.16, -0.16, -0.16, -0.13, -0.08, 
## -0.03, -0.03, 0, 0.11, 0.08, 0.06, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.16, 0.18, 0.19, 0.18, 0.22, 0.37, 0.39, 0.32, 0.27, 0.26, 0.21, 
## 0.19, 0.19, 0.26, 0.29, 0.29, 0.24, 0.06, 0.03, 0.03, 0.06, 0.26, 
## 0.32, 0.51, 0.61, 0.64, 0.72, 0.63, 0.55, 0.45, 0.4, -0.02, -0.08, 
## -0.18, -0.19, -0.24, -0.24, -0.24, -0.22, -0.19, -0.11, -0.08, 
## 0.45, 0.43, 0.32, 0.27, 0.19, 0.11, 0.08, 0.11, 0.08, 0.06, -0.02, 
## -0.1, -0.11, -0.08, -0.1, -0.11, -0.1, -0.08, -0.13, -0.03, 0.06, 
## 0.11, 0.29, 0.51, 0.59, 0.67, 0.75, 0.77, 0.8, 0.8, 0.85, 0.88, 
## 0.92, 0.95, 1.01, 1.17, 1.22, 1.12, 1.08, 0.85, 0.85, 1.08, 1.08, 
## 0.47, 0.27, 0.27, 0.24, 0.16, 0.11, 0.06, 0.35, 0.31, 0.21, 0.11, 
## 0.02, 0, 0.03, 0.05, 0.08, 0.16, 0.21, 0.26, -0.13, -0.32, -0.32, 
## -0.31, -0.21, -0.19, -0.21, -0.21, -0.21, -0.22, -0.18, -0.13, 
## 0.13, 0.18, 0.22, 0.26, 0.24, 0.03, 0, -0.02, -0.06, -0.08, -0.08, 
## -0.1, -0.08, -0.06, -0.05, -0.03, -0.02, 0, 0.03, 0.05, 0.13, 
## 0.11, 0.06, 0.02, -0.03, -0.11, -0.14, -0.16, -0.19, -0.18, -0.13, 
## -0.06, 0.19, 0.22, 0.27, 0.27, 0.26, 0.24, 0.24, 0.22, 0.19, 
## 0.21, 0.19, 0.19, 0.16, 0.13, 0.11, 0.05, 0.03, 0, -0.08, -0.1, 
## -0.1, -0.1, -0.1, -0.13, -0.14, -0.14, -0.13, -0.11, -0.08, -0.05, 
## -0.03, 0, 0.03, 0.06, 0.14, 0.18, 0.16, 0.16, 0.13, -0.06, -0.13, 
## -0.16, -0.14, -0.14, -0.14, -0.16, -0.1, 0.18, 0.24, 0.31, 0.37, 
## 0.37, 0.27, 0.1, 0.1, 0.08, 0.03, -0.08, -0.16, -0.21, -0.26, 
## -0.19, -0.13, 0.03, 0.08, 0.14, 0.22, 0.22, 0.19, 0.16, 0.11, 
## 0.1, 0.08, 0.03, 0.05, 0.08, 0.1, 0.11, 0.08, 0.1, 0.05, -0.05, 
## -0.06, -0.06, -0.11, -0.16, -0.21, -0.22, -0.22, -0.24, -0.19, 
## -0.06, 0.05, 0.16, 0.14, 0.13, 0.11, 0.08, 0.06, 0.05, 0.06, 
## 0.08, 0.13, 0.18, 0.31, 0.31, 0.31, 0.29, 0.26, 0.22, 0.19, 0.13, 
## 0.03, -0.02, -0.11, -0.16, -0.19, -0.26, -0.29, -0.31, -0.29, 
## -0.27, -0.22, -0.14, 0.03, 0.13, 0.05, 0.05, 0.08, 0.1, 0.11, 
## 0.19, 0.16, 0.14, 0.14, 0.14, 0.11, 0.05, -0.02, -0.06, -0.11, 
## -0.14, -0.06, -0.03, 0.06, 0.08, 0.02, 0.02, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, -0.08, -0.13, -0.1, 0, 0.06, 0.18, 0.21, 0.21, 0.21, 
## 0.11, 0, -0.03, -0.03, 0, 0.05, 0.1, 0.1, 0.1, 0.13, 0.16, 0.18, 
## 0.19, 0.21, 0.21, 0.19, 0.05, -0.06, -0.11, -0.18, -0.19, -0.18, 
## -0.14, -0.13, -0.1, -0.06, 0.02, 0.05, 0.05, 0.03, 0.03, 0.05, 
## 0.05, 0.18, 0.18, 0.16, 0.13, 0.06, 0.05, -0.03, -0.08, -0.13, 
## -0.19, -0.19, -0.13, -0.06, -0.03, 0.02, 0.05, 0.08, 0.13, 0.16, 
## 0.05, 0.06, 0.06, 0.08, 0.08, 0.05, 0.03, 0.02, 0.02, 0.02, 0.02, 
## 0.03, 0.1, 0.05, 0.02, -0.03, -0.08, -0.13, -0.16, -0.14, -0.13, 
## -0.1, -0.06, -0.03, -0.03, 0, -0.03, -0.08, -0.1, -0.06, -0.03, 
## -0.02, -0.02, 0.02, 0.08, 0.1, 0.11, 0.13, 0.13, 0.1, 0.13, 0.11, 
## 0.08, 0.06, 0.05, 0.03, 0.03, 0.05, 0.05, 0.03, 0.02, -0.08, 
## -0.16, -0.1, -0.11, -0.08, -0.06, 0.1, 0.13, 0.13, 0.16, 0.18, 
## 0.18, 0.18, 0.26, 0.32, 0.31, 0.22, 0.18, 0.03, -0.08, -0.16, 
## -0.11, -0.11, -0.11, 0.02, 0.1, 0.11, 0.08, 0.08, 0.11, 0.05, 
## 0.02, 0, -0.02, -0.02, -0.06, -0.08, -0.06, -0.05, -0.08, -0.14, 
## -0.18, -0.22, -0.27, -0.31, -0.35, -0.31, -0.26, -0.22, -0.14, 
## -0.11, -0.05, 0, 0.02, 0.02, 0.03, 0.08, 0.16, 0.14, 0.16, 0.06, 
## 0.05, 0.05, 0.06, 0.06, 0.06, 0.08, 0.08, 0.11, 0.06, 0.05, 0.05, 
## 0.03, 0.02, 0.02, 0, 0, 0.03, 0, -0.1, -0.13, -0.11, 0.03, 0.08, 
## 0.21, 0.24, 0.24, 0.19, 0.08, 0.05, 0.02, 0, -0.03, -0.03, -0.05, 
## -0.05, -0.02, -0.02, 0, 0.02, -0.08, -0.1, -0.1, -0.13, -0.16, 
## -0.18, -0.16, -0.16, -0.16, -0.18, -0.18, -0.13, -0.05, -0.02, 
## 0.02, 0.02, 0.03, 0.08, 0.11, 0.14, 0.19, 0.21, 0.19, 0.05, 0.02, 
## 0, 0, 0, 0, 0, 0.02, 0.03, 0.05, 0.06, 0.06, 0.06, 0.06, 0.05, 
## 0.05, 0.05, 0.06, 0.06, 0.05, 0.05, 0.05, 0.05, 0.06, 0.08, 0.08, 
## 0.08, 0.06, 0.03, 0.03, 0.03, 0.05, 0.05, 0.05, 0.05, 0.06, 0.06, 
## 0.1, 0.11, 0.11, 0.08, 0.1, 0.1, 0.11, 0.13, 0.1, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, 0, 0.02, 0.05, 0.06, 0.06, 0.08, 0.06, 0.06, 0.08, 0.06, 
## 0.06, 0.06, 0.05, -0.43, -0.45, -0.66, -0.58, -0.55, -0.53, -0.45, 
## -0.39, -0.32, -0.56, -0.63, -0.66, -0.75, -0.82, -0.87, -0.85, 
## -0.83, -0.83, -0.8, -0.72, -0.64, -0.08, -0.08, -0.14, -0.13, 
## -0.4, -0.53, -0.71, -0.64, -0.59, -0.43, -0.19, -0.13, -0.11, 
## -0.11, -0.21, -0.21, -0.22, -0.5, -0.53, -0.55, -0.59, -0.61, 
## -0.63, -0.66, -0.69, -0.9, -0.96, -0.95, -0.92, -0.77, -0.67, 
## -0.56, -0.21, 0.02, -0.06, -0.11, -0.1, -0.1, -0.06, -0.06, -0.08, 
## -0.13, -0.24, -0.32, -0.42, -0.56, -0.53, -0.5, -0.55, -0.58, 
## -0.55, -0.32, -0.31, -0.32, -0.27, -0.21, -0.19, -0.22, -0.31, 
## -0.34, -0.39, -0.51, -0.53, -0.5, -0.48, -0.48, -0.48, -0.48, 
## -0.47, -0.45, -0.47, -0.5, -0.55, -0.69, -0.82, -0.87, -0.96, 
## -0.88, -0.82, -0.61, -0.24, -0.08, -0.08, -0.13, -0.13, -0.13, 
## -0.18, -0.19, -0.32, -0.32, -0.37, -0.43, -0.39, -0.29, -0.29, 
## -0.31, -0.37, -0.55, -0.47, -0.45, -0.47, -0.47, -0.37, -0.32, 
## -0.34, -0.51, -0.53, -0.53, 0.05, 0.06, 0.05, 0.06, 0.1, 0.08, 
## 0, -0.06, -0.11, -0.16, -0.18, -0.11, -0.06, -0.03, 0.03, 0.11, 
## 0.11, 0.11, 0.11, 0.16, 0.18, 0.16, 0.16, 0.14, 0.13, 0.16, 0.27, 
## 0.26, 0.21, 0.16, 0.13, 0.11, 0.11, 0.08, 0.08, -0.1, -0.11, 
## -0.1, 0.02, 0.08, 0.11, 0.06, 0.02, -0.14, -0.21, -0.18, -0.08, 
## -0.05, -0.03, 0, 0.05, 0.14, 0.19, 0.22, 0.21, 0.19, 0.21, 0.21, 
## 0.21, 0.19, 0.21, 0.21, 0.24, 0.29, 0.31, 0.29, 0.14, -0.03, 
## -0.13, -0.02, 0.02, 0.03, 0.05, 0.06, 0.08, 0.18, 0.22, 0.24, 
## 0.29, 0.29, 0.27, 0.27, 0.26, 0.27, 0.27, 0.24, 0.18, 0.19, 0.21, 
## 0.21, 0.21, 0.05, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.03, 
## 0.02, 0.02, 0.02, 0.02, -0.03, -0.03, 0.05, 0.1, 0.13, 0.11, 
## 0.16, 0.21, 0.22, 0.24, 0.21, 0.19, 0.18, 0.16, 0.14, 0.13, 0.06, 
## 0.06, 0.08, 0.06, 0.05, 0.03, 0.02, 0, -0.02, -0.03, 0.02, 0.05, 
## 0.08, 0.18, 0.19, 0.21, 0.19, 0.21, 0.16, 0.14, 0.13, 0.13, 0.14, 
## 0.13, 0.14, 0.16, 0.21, 0.22, 0.22, 0.22, 0.21, 0.21, 0.19, 0.21, 
## 0.19, 0.19, 0.13, 0.11, 0.06, 0.03, 0.02, 0.02, 0, 0, -0.02, 
## -0.02, -0.02, 0, -0.02, -0.02, -0.03, -0.03, -0.03, 0.06, 0.05, 
## 0.1, 0.1, 0.1, 0.1, 0.06, 0.08, 0.1, 0.13, 0.18, 0.19, 0.16, 
## 0.16, 0.16, 0.13, 0.14, 0.16, 0.19, 0.19, 0.1, 0.1, 0.11, 0.08, 
## 0.05, -0.05, -0.06, -0.06, -0.06, -0.03, -0.03, -0.03, -0.03, 
## -0.03, 0.02, 0, 0.05, 0.19, 0.21, 0.29, 0.35, 0.37, 0.43, 0.4, 
## 0.34, 0.29, 0.22, 0.21, 0.24, 0.24, 0.19, 0.21, 0.21, 0.22, 0.27, 
## 0.29, 0.27, 0.19, 0.05, 0.02, -0.02, -0.03, -0.08, -0.14, -0.13, 
## -0.11, -0.06, -0.05, -0.02, -0.02, 0.02, 0.1, 0.14, 0.18, 0.21, 
## 0.18, 0.18, 0.18, 0.18, 0.16, 0.08, 0.05, 0.06, 0.1, 0.14, 0.11, 
## 0.1, 0.05, 0.06, 0.08, -0.02, -0.21, -0.19, -0.18, -0.1, 0.06, 
## 0.13, 0.22, 0.19, 0.11, 0.22, 0.24, 0.29, 0.31, 0.32, 0.32, 0.34, 
## 0.35, 0.37, 0.35, 0.34, 0.34, 0.31, 0.27, 0.21, 0.19, 0.18, 0.14, 
## 0.13, 0.13, 0.1, 0.08, 0.08, 0.08, 0, -0.02, -0.05, 0.02, 0.03, 
## 0.03, 0.05, 0.11, 0.19, -0.03, -0.03, -0.02, 0, -0.02, -0.02, 
## -0.03, -0.02, 0.02, -0.02, -0.05, -0.14, -0.19, -0.21, -0.24, 
## -0.21, -0.1, 0.02, 0.03, 0.06, 0.11, 0.16, 0.1, 0.13, 0.16, 0.16, 
## 0.16, 0.21, 0.29, 0.4, 0.47, 0.53, 0.47, 0.35, 0.24, 0, -0.05, 
## -0.06, -0.08, -0.06, -0.03, 0.06, 0.1, 0.13, 0.16, 0.18, 0.16, 
## 0.18, 0.19, 0.16, 0.16, 0.16, 0.16, 0.14, 0.11, 0.1, 0.06, -0.02, 
## -0.06, -0.08, -0.06, -0.06, -0.05, -0.02, 0.02, 0.06, 0.08, 0.1, 
## 0.19, 0.11, 0.18, 0.18, 0.19, 0.14, 0.11, 0.06, 0.03, 0.02, -0.02, 
## -0.02, 0.21, 0.24, 0.26, 0.29, 0.22, 0.19, 0.14, 0.13, 0.1, 0.06, 
## 0.14, 0.18, 0.24, 0.22, 0.24, 0.16, 0.08, 0.1, 0.08, 0.14, 0.18, 
## 0.21, 0.14, 0.13, 0.14, 0.13, 0.08, 0.1, 0.13, 0.14, 0.21, 0.22, 
## 0.27, 0.22, 0.29, 0.34, 0.27, 0.22, 0.22, 0.19, 0.16, 0.02, -0.05, 
## -0.03, 0, 0.05, 0.06, 0.11, 0.13, 0.14, 0.19, 0.19, 0.21, 0.22, 
## 0.24, 0.24, 0.21, 0.24, 0.22, 0.11, 0.06, 0.02, -0.03, -0.02, 
## -0.03, -0.05, -0.06, -0.08, -0.11, 0.22, 0.21, 0.19, 0.19, 0.18, 
## 0.18, 0.18, 0.18, 0.16, 0.19, 0.19, 0.16, 0.1, 0.08, 0.02, 0, 
## -0.03, -0.08, 0.03, 0.08, 0.13, 0.21, 0.22, 0.22, 0.26, 0.26, 
## 0.29, 0.31, 0.31, 0.29, 0.24, 0.19, 0.18, 0.18, 0.14, 0.13, 0.1, 
## 0.06, 0.06, 0.03, -0.02, -0.06, -0.06, -0.05, -0.03, 0.02, 0, 
## -0.21, -0.08, -0.08, -0.02, 0.02, 0.18, 0.19, 0.19, 0.14, 0.05, 
## 0.02, 0, 0.21, 0.19, 0.18, 0.18, 0.16, 0.18, 0.22, 0.24, 0.26, 
## 0.4, 0.35, 0.34, 0.29, 0.24, 0.05, -0.08, -0.16, -0.14, -0.05, 
## -0.02, -0.05, 0, 0.02, 0.13, 0.29, 0.34, 0.35, 0.35, 0.35, 0.29, 
## 0.22, 0.16, 0.13, 0.14, 0.14, 0.14, 0.16, 0.11, -0.03, -0.13, 
## 0.13, 0.1, 0.06, 0.03, 0.03, 0.02, -0.03, -0.08, -0.11, -0.06, 
## -0.02, 0.03, 0.08, 0.18, 0.22, 0.26, 0.26, 0.24, 0.24, 0.31, 
## 0.35, 0.4, 0.4, 0.39, 0.35, 0.32, 0.29, 0.27, 0.19, 0.14, 0.08, 
## 0.06, 0.05, 0.05, 0.05, 0.05, -0.08, -0.24, -0.27, -0.13, -0.08, 
## -0.06, -0.06, 0.06, 0.1, 0.16, 0.21, 0.24, 0.22, 0.24, 0.19, 
## 0.19, 0.21, 0.26, 0.29, 0.31, 0.29, 0.29, 0.29, 0.29, 0.18, 0.14, 
## 0.11, -0.02, -0.06, -0.08, -0.11, -0.18, -0.08, -0.03, 0.11, 
## 0.37, 0.45, 0.48, 0.48, 0.45, 0.42, 0.43, 0.47, 0.45, 0.42, 0.39, 
## 0.22, 0.19, 0.29, 0.42, 0.5, 0.53, 0.39, 0.29, 0.13, 0.08, 0.1, 
## 0.14, 0.24, 0.26, 0.32, 0.24, 0.19, 0.02, 0.03, 0.06, 0.08, 0.1, 
## 0.1, 0.03, 0.02, 0.08, 0.11, 0.13, 0.14, 0.18, 0.19, 0.21, 0.26, 
## 0.26, 0.27, 0.29, 0.27, 0.35, 0.34, 0.35, 0.34, 0.34, 0.32, 0.29, 
## 0.27, 0.26, 0.26, 0.26, 0.26, 0.26, 0.24, 0.24, 0.22, 0, 0, -0.02, 
## -0.03, -0.05, -0.05, -0.06, -0.08, -0.11, -0.13, -0.13, -0.05, 
## -0.02, 0.03, 0.03, 0.02, 0, -0.05, -0.02, 0, 0.02, 0, -0.02, 
## -0.05, -0.06, -0.06, -0.08, -0.06, 0.02, 0.03, 0.05, 0.06, 0.08, 
## 0.08, 0.05, 0.03, 0.03, 0.02, -0.03, -0.06, -0.08, -0.08, -0.06, 
## -0.06, -0.05, -0.03, -0.03, -0.02, 0.08, 0.08, 0.06, 0.02, -0.02, 
## -0.06, -0.08, -0.02, -0.06, -0.06, -0.08, -0.11, -0.13, -0.1, 
## -0.08, -0.06, -0.06, -0.05, 0, 0.05, 0.08, 0.08, 0.08, 0.05, 
## 0.03, 0.02, -0.06, -0.08, -0.08, -0.06, -0.06, -0.06, -0.05, 
## -0.02, 0.03, 0.11, 0.06, 0.02, -0.02, 0, -0.08, -0.06, -0.06, 
## -0.06, 0, 0.1, 0.11, 0.13, 0.11, 0.1, 0.08, 0.05, 0.03, 0.02, 
## 0.03, 0.05, 0.1, 0.1, -0.03, -0.06, -0.08, -0.1, -0.06, -0.06, 
## -0.02, -0.02, 0, 0.02, 0.06, 0.08, 0.11, 0.13, 0.13, 0.1, 0.06, 
## 0.06, 0.05, 0.05, 0.05, 0.03, 0.02, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.06, -0.08, -0.08, -0.02, 0.03, 0.11, 0.16, 0.11, 0.1, 
## 0.05, 0.03, 0.03, 0.05, 0.06, -0.03, -0.08, -0.08, -0.06, -0.05, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.05, -0.06, -0.03, -0.02, 
## 0.05, 0.14, 0.18, 0.06, -0.02, -0.05, -0.08, -0.08, -0.08, -0.06, 
## -0.06, -0.05, -0.03, 0.02, 0.03, 0.05, 0.06, 0.1, 0.14, 0.16, 
## 0.14, 0.13, 0.08, 0.05, 0.05, 0.06, 0.06, 0.06, 0, -0.02, -0.03, 
## -0.06, -0.06, -0.05, -0.02, 0, 0, -0.03, -0.03, -0.05, -0.05, 
## -0.05, 0.02, 0.05, 0.08, 0.08, 0.06, 0.02, 0, -0.06, -0.1, -0.11, 
## -0.1, -0.03, -0.02, 0.02, 0.08, 0.13, 0.16, 0.14, 0.11, 0.1, 
## 0.08, 0.06, 0.08, 0.08, 0.11, 0.11, 0.06, -0.06, -0.1, -0.14, 
## -0.13, -0.08, -0.06, -0.05, -0.02, 0.08, 0.14, 0.13, 0.1, 0.08, 
## 0.05, 0.05, 0.03, 0.02, 0.02, 0, -0.02, -0.06, -0.06, -0.08, 
## -0.08, -0.08, -0.06, 0.03, 0.05, 0.06, 0.05, 0.03, 0, -0.02, 
## -0.03, 0.02, 0.02, 0.03, 0.03, 0.02, 0, -0.03, -0.05, 0.03, 0.05, 
## 0.03, 0.03, 0.02, 0, -0.05, -0.08, -0.08, -0.08, -0.08, -0.06, 
## -0.03, -0.03, -0.03, -0.02, -0.03, 0.02, 0.06, 0.06, 0.11, 0.11, 
## 0.08, 0.06, 0.06, 0.05, -0.02, -0.03, -0.05, -0.03, -0.02, -0.02, 
## -0.02, 0.02, 0.08, 0.08, 0.08, 0.08, 0.1, 0.16, 0.16, 0.14, 0.13, 
## 0.08, 0.06, 0.06, 0.06, 0.05, 0.05, 0.08, 0.08, 0.05, 0, -0.05, 
## -0.06, -0.1, -0.11, -0.13, -0.13, -0.11, -0.08, -0.1, -0.16, 
## -0.18, -0.14, -0.1, -0.08, -0.03, 0, 0.02, 0.05, 0.08, 0.11, 
## 0.11, 0.11, 0.1, 0.1, 0.1, 0.06, 0.05, 0.03, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.03, 0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, 0, 0.02, 
## 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, 0.03, 0.03, 0.02, 0.02, 
## 0.02, 0, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.58, 0.67, 0.8, 0.69, 0.58, 0.58, 0.5, 0.48, 0.39, 0.39, 
## 0.02, 0.37, 1.38, 1.33, 1.28, 1.22, 1.27, 1.54, 1.98, 2.02, 2.2, 
## 2.22, 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.03, 0.02, 0.03, 0.02, 0.03, 
## 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 
## 0.03, -0.03, -0.02, 0.02, 0.03, -0.11, 0, 0.05, 0.06, 0.02, -0.11, 
## -0.22, -0.61, -0.59, -0.22, -0.21, -0.14, -0.11, 0.06, 0.16, 
## 0.16, 0.16, 0.16, 0.19, 0.21, 0.22, 0.22, 0.1, -0.24, -0.29, 
## -0.31, -0.18, -0.21, -0.21, -0.16, -0.02, 0.32, 0.34, 0.31, 0.27, 
## 0.24, 0.24, 0.08, -0.08, -0.24, -0.27, -0.29, -0.21, -0.03, -0.05, 
## -0.06, -0.22, -0.19, 0.14, 0.34, 0.39, 0.37, 0.34, 0.27, 0.21, 
## 0.18, 0.13, 0.1, 0.1, 0.08, 0.13, 0.1, -0.1, -0.18, -0.21, -0.29, 
## -0.35, -0.37, -0.19, -0.05, 0.02, 0.24, 0.29, 0.24, 0.22, 0.21, 
## 0.21, 0.22, 0.19, 0.08, -0.03, -0.08, -0.22, -0.29, -0.43, -0.51, 
## -0.43, -0.35, 0.02, 0.13, 0.21, 0.24, 0.29, 0.37, 0.39, 0.34, 
## 0.29, 0.26, 0.16, 0, 0.02, 0.05, 0.08, 0.11, 0.11, -0.05, -0.1, 
## 0.11, 0.18, 0.18, 0.18, 0.18, 0.16, 0.16, 0.16, 0.18, 0.18, 0.1, 
## -0.03, -0.34, -0.39, -0.53, -0.4, -0.37, 0.21, 0.26, 0.29, 0.27, 
## 0.14, 0.14, 0.16, 0.16, 0.16, 0.11, 0.13, 0.14, 0.06, 0.06, -0.1, 
## -0.1, -0.06, 0.03, 0.05, 0.16, 0.19, 0.14, 0.13, 0.05, 0.03, 
## 0.02, -0.02, -0.1, -0.34, -0.29, -0.26, -0.13, 0.08, 0.16, 0.21, 
## 0.27, 0.29, 0.34, 0.4, 0.31, 0.24, 0, -0.03, -0.03, -0.08, -0.1, 
## -0.05, -0.06, -0.08, -0.11, -0.08, 0, 0.05, 0.14, 0.16, 0.19, 
## 0.19, 0.21, 0.19, 0.16, 0.14, 0.14, 0.13, -0.02, -0.05, -0.1, 
## -0.16, -0.24, -0.31, -0.4, -0.45, -0.4, -0.4, -0.4, -0.06, -0.02, 
## 0, 0, 0.05, 0.1, 0.11, 0.11, 0.11, 0.13, 0.14, 0.22, 0.19, 0.13, 
## 0.08, 0.02, 0, 0, 0.02, 0.02, -0.06, -0.13, -0.1, -0.03, 0.19, 
## 0.22, 0.24, 0.22, 0.18, 0.14, 0.14, 0.16, 0.16, 0.03, -0.18, 
## -0.22, -0.32, -0.39, -0.4, -0.42, -0.45, -0.02, 0.05, 0.26, 0.27, 
## 0.32, 0.27, 0.24, 0.24, 0.24, 0.29, 0.26, 0.22, 0.13, 0.05, 0, 
## -0.1, -0.22, -0.06, 0.06, 0.06, 0.06, 0.06, 0.08, 0.11, 0.14, 
## -0.29, -0.13, -0.02, 0.03, 0.11, 0.13, 0.14, 0.16, 0.16, 0.06, 
## -0.03, -0.14, -0.19, -0.27, -0.32, -0.32, -0.27, -0.16, -0.02, 
## 0.34, 0.39, 0.37, 0.37, 0.37, 0.35, 0.35, 0.21, 0.16, -0.06, 
## -0.11, -0.14, -0.19, -0.19, -0.18, -0.11, -0.05, 0.02, 0.11, 
## -0.16, -0.14, -0.18, -0.19, 0.03, 0.21, 0.22, 0.19, 0.13, 0.08, 
## -0.1, -0.1, -0.06, -0.05, -0.08, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 
## 0.03, 0.03, 0.03, 0.05, 0.05, 0.06, 0.06, 0.06, 0.06, 0.05, 0, 
## -0.02, -0.03, -0.03, -0.02, 0.02, 0.06, 0.08, 0.1, 0.11, 0.05, 
## 0.02, 0, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, 
## 0.02, 0, 0.03, 0, 0, 0, 0.02, -0.02, -0.08, -0.1, -0.1, -0.13, 
## -0.14, -0.16, -0.18, -0.18, -0.13, -0.08, -0.03, -0.14, -0.14, 
## -0.05, 0, 0.03, 0.05, 0.05, 0.1, 0.1, 0.06, 0.06, 0.03, 0.03, 
## 0.06, 0.05, 0.02, 0, -0.03, -0.08, -0.06, 0.06, 0.1, 0.11, 0.13, 
## 0.18, 0.21, 0.22, 0.26, 0.27, 0.29, 0.32, 0.35, 0.39, 0.42, 0.39, 
## 0.4, 0.37, 0.35, 0.35, 0.35, 0.35, 0.39, 0.4, 0.4, 0.4, 0.4, 
## 0.39, 0.34, 0.29, 0.26, 0.24, 0.21, 0.14, 0.13, 0.1, 0, 0.02, 
## 0.02, 0.13, 0.14, 0.14, 0.19, 0.22, 0.03, -0.03, -0.14, -0.1, 
## -0.08, -0.06, -0.05, -0.1, -0.13, -0.22, -0.16, -0.14, -0.13, 
## -0.11, -0.05, -0.03, -0.06, -0.03, 0.02, 0.03, 0.06, 0.06, 0.06, 
## 0.08, 0.1, 0.13, 0.14, 0.18, 0.26, 0.39, 0.4, 0.4, 0.42, 0.42, 
## 0.42, 0.42, 0.35, 0.31, 0.27, 0.27, 0.29, 0.31, 0.32, 0.27, 0.27, 
## 0.27, 0.26, 0.24, 0.21, 0.11, 0.08, 0.03, -0.05, -0.02, -0.03, 
## 0.03, 0.06, 0.1, 0.1, 0.06, 0.06, 0.05, 0.02, 0, -0.03, -0.03, 
## -0.02, -0.02, -0.03, -0.03, -0.06, -0.11, -0.14, -0.11, -0.11, 
## 0, -0.02, 0, 0.02, 0.03, 0.08, 0.1, 0.11, 0.11, 0.11, 0.18, 0.19, 
## 0.21, 0.22, 0.29, 0.32, 0.42, 0.43, 0.43, 0.42, 0.4, 0.4, 0.39, 
## 0.37, 0.34, 0.34, 0.32, 0.34, 0.31, 0.24, 0.22, 0.22, 0.19, 0.19, 
## 0.14, 0.11, 0.11, 0.11, 0.11, 0.13, 0.1, 0, -0.03, -0.05, -0.06, 
## -0.08, -0.11, -0.11, -0.08, -0.06, -0.08, -0.1, -0.08, -0.05, 
## -0.06, 0.02, 0, 0, -0.03, -0.03, -0.06, -0.08, -0.1, -0.06, 0, 
## 0.02, 0.03, 0.03, 0.1, 0.11, 0.13, 0.18, 0.21, 0.29, 0.31, 0.31, 
## 0.35, 0.37, 0.39, 0.4, 0.4, 0.4, 0.37, 0.34, 0.32, 0.31, 0.31, 
## 0.29, 0.31, 0.06, 0.11, 0.22, 0.19, 0.14, 0.1, -0.02, -0.08, 
## -0.05, -0.06, -0.05, 0.02, 0.03, 0.06, 0.19, 0.19, 0.18, 0.18, 
## 0.18, 0.19, 0.21, 0.29, 0.31, 0.31, 0.31, 0.32, 0.32, 0.32, 0.37, 
## 0.34, 0.34, 0.34, 0.35, 0.34, 0.31, 0.29, 0.18, 0.03, 0, 0, 0.02, 
## 0.03, 0, 0, -0.02, 0.05, 0.16, 0.03, 0, -0.13, -0.14, -0.16, 
## -0.21, -0.18, -0.11, -0.06, -0.05, 0.03, 0.08, 0.03, -0.05, 0.05, 
## 0.06, 0.06, 0.06, 0.03, 0.02, 0, -0.02, -0.06, -0.06, -0.03, 
## 0.1, 0.13, 0.14, 0.14, 0.16, 0.18, 0.24, 0.27, 0.39, 0.37, 0.39, 
## 0.4, 0.39, 0.34, 0.32, -0.13, -0.11, -0.08, -0.08, -0.06, -0.02, 
## 0.05, 0.05, 0.03, -0.06, -0.1, -0.1, -0.1, -0.06, -0.02, 0, 0.05, 
## 0.1, 0.1, 0.08, 0.13, 0.18, 0.21, 0.21, 0.26, 0.26, 0.24, 0.24, 
## 0.24, 0.24, 0.27, 0.29, 0.27, 0.27, 0.24, 0.22, 0.24, 0.24, 0.22, 
## 0.24, 0.24, 0.26, 0.21, 0.18, 0.13, 0.08, 0.05, 0.03, 0, -0.02, 
## 0.02, 0.02, 0, 0.02, 0.13, 0.1, -0.05, -0.11, -0.1, -0.08, 0.08, 
## 0.14, 0.1, 0.05, 0.03, 0.02, 0.03, 0.02, 0, -0.06, -0.05, -0.05, 
## -0.05, -0.03, -0.02, 0.02, 0.08, 0.08, 0.11, 0.14, 0.11, 0.13, 
## 0.22, 0.24, 0.24, 0.27, 0.27, 0.27, 0.26, 0.26, 0.26, 0.31, 0.32, 
## 0.34, 0.35, 0.11, 0.11, 0.13, 0.11, 0.18, 0.13, 0.03, 0, -0.13, 
## -0.18, -0.19, -0.1, 0.05, 0.03, -0.18, -0.16, -0.16, -0.02, 0.06, 
## 0.11, 0.14, 0.16, 0.39, 0.39, 0.4, 0.4, 0.39, 0.37, 0.34, 0.31, 
## 0.29, 0.27, 0.24, 0.22, 0.21, 0.24, 0.22, 0.16, 0.16, 0.16, 0.34, 
## 0.35, 0.35, 0.35, 0.32, 0.32, 0.32, 0.32, 0.29, 0.27, 0.24, 0.1, 
## 0.06, 0.1, 0.1, 0.1, 0.06, 0.06, 0.05, 0.03, -0.02, -0.03, -0.06, 
## -0.14, -0.16, -0.16, -0.16, 0.27, 0.26, 0.24, 0.21, 0.18, 0.16, 
## 0.13, 0.08, -0.05, -0.06, 0.06, 0.08, 0.05, 0, -0.05, -0.1, -0.31, 
## -0.32, -0.32, -0.24, -0.29, -0.56, -0.66, -0.77, -0.82, -0.82, 
## -0.72, -0.64, -0.58, -0.5, -0.43, -0.43, -0.42, -0.4, -0.4, -0.35, 
## -0.4, -0.42, -0.45, -0.4, -0.37, -0.26, -0.19, -0.24, -0.45, 
## -0.58, -0.58, -0.67, -0.77, -0.72, -0.67, -0.66, -0.03, -0.14, 
## -0.37, -0.39, -0.42, -0.53, -0.53, -0.64, -0.69, -0.67, -0.56, 
## -0.47, -0.32, -0.21, -0.19, -0.27, -0.26, -0.14, -0.11, -0.08, 
## -0.1, -0.13, -0.24, -0.56, -0.63, -0.66, -0.67, -0.59, -0.55, 
## -0.55, -0.19, -0.26, -0.37, -0.45, -0.48, -0.22, -0.14, -0.16, 
## -0.18, -0.29, -0.35, -0.43, -0.45, -0.48, -0.51, -0.51, -0.45, 
## -0.37, -0.35, -0.35, -0.35, -0.37, -0.42, -0.5, -0.66, -0.74, 
## -0.71, -0.63, -0.64, -0.63, -0.58, -0.08, -0.14, -0.21, -0.24, 
## -0.22, -0.22, -0.24, -0.31, -0.4, -0.53, -0.61, -0.66, -0.69, 
## -0.71, -0.71, -0.74, -0.72, -0.5, -0.53, -0.58, -0.59, -0.58, 
## -0.35, -0.29, -0.31, -0.13, -0.11, -0.39, -0.42, -0.4, -0.37, 
## -0.37, -0.32, -0.24, -0.16, -0.5, -0.58, -0.58, -0.59, -0.66, 
## -0.75, -0.61, -0.32, -0.31, -0.27, -0.22, -0.21, -0.21, -0.21, 
## -0.26, -0.31, -0.37, -0.43, -0.63, -0.82, -0.85, -0.9, -0.96, 
## -1.04, -0.98, -0.88, -0.56, -0.42, -0.14, -0.21, -0.19, -0.22, 
## -0.29, -0.27, -0.26, -0.21, -0.11, 0.1, 0.1, 0.02, -0.19, -0.31, 
## -0.45, -0.59, -0.69, -0.88, -0.92, -0.93, -0.95, -1, -1, -0.96, 
## -0.92, -0.77, -0.72, -0.64, -0.56, -0.43, -0.19, -0.21, -0.22, 
## -0.22, -0.29, -0.5, -0.61, -0.79, -0.74, -0.67, -0.67, -0.63, 
## -0.56, -0.37, -0.13, -0.03, 0.05, -0.51, -0.47, -0.39, -0.35, 
## -0.48, -0.48, -0.5, -0.5, -0.5, -0.5, -0.5, -0.51, -0.51, -0.51, 
## -0.45, -0.5, -0.51, -0.55, -0.55, -0.53, -0.53, -0.51, -0.48, 
## -0.47, -0.47, -0.47, -0.45, -0.43, -0.42, -0.39, -0.39, -0.42, 
## -0.43, -0.45, -0.48, -0.5, -0.47, -0.43, -0.4, -0.42, 0, -0.02, 
## -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.02, -0.03, -0.02, 0.02, 0.06, 0.06, 0.08, 0.1, 0.1, 0.1, 0.1, 
## 0.08, 0.06, 0.05, 0.05, 0.05, 0.06, 0.08, 0.08, 0.08, 0.08, 0.06, 
## 0.06, 0.06, 0.06, 0.05, 0.05, 0.03, 0, 0, 0.02, 0.02, 0.03, 0.03, 
## 0.02, 0, -0.03, -0.03, -0.02, -0.13, -0.18, -0.19, -0.26, -0.11, 
## 0.02, 0.05, 0.05, 0.05, 0.05, 0.08, 0.13, 0.14, 0.16, 0.18, 0.19, 
## 0.21, 0.27, 0.31, 0.29, 0.27, -0.02, -0.02, 0.03, 0.05, 0.08, 
## 0.08, 0.06, 0.06, 0.06, 0.08, 0.06, 0.06, 0.05, 0.03, 0.03, 0.05, 
## 0.03, 0.03, 0.03, 0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0.16, 0.13, 
## 0.1, 0.05, 0.02, -0.02, -0.05, -0.11, -0.22, -0.26, -0.26, -0.24, 
## -0.21, -0.16, -0.13, 0.08, 0.21, 0.32, 0.37, 0.35, 0.34, 0.29, 
## 0.26, 0.27, 0.26, 0.22, 0.14, 0.13, 0.1, -0.05, -0.06, -0.1, 
## -0.35, -0.35, -0.37, -0.22, -0.14, -0.06, 0.02, 0.13, 0.18, 0.19, 
## 0.29, 0.32, 0.32, 0.34, 0.34, 0.14, 0, -0.16, -0.21, -0.22, 0.06, 
## 0.06, 0.05, 0.03, 0.03, 0.03, 0.03, 0.03, 0.06, 0.05, 0.05, 0.05, 
## 0.05, 0.06, 0.06, 0.08, 0.08, 0.08, 0.08, 0.06, 0.03, 0.02, 0, 
## 0.02, 0.02, 0.02, 0, -0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, -0.02, -0.03, -0.03, 0, 0, 0, -0.1, -0.18, -0.13, 
## -0.06, -0.02, 0.05, 0.08, 0.13, 0.1, 0.11, 0.1, 0.06, 0.02, 0.02, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.06, 0.1, 0.06, 0.05, 0.03, 
## 0, 0, -0.02, -0.02, 0.02, 0.03, 0.02, 0.02, 0.03, 0.02, 0, 0, 
## -0.03, -0.05, -0.08, -0.08, -0.08, -0.1, -0.08, -0.05, -0.03, 
## -0.02, -0.02, -0.02, -0.02, 0.02, 0.03, 0.08, 0.08, 0.02, -0.06, 
## -0.08, 0.03, 0.02, 0.02, -0.11, -0.11, -0.37, -0.35, -0.5, -0.5, 
## -0.5, -0.5, -0.48, -0.47, -0.47, -0.5, -0.51, -0.51, -0.5, -0.48, 
## -0.48, -0.48, -0.48, -0.48, -0.45, -0.48, -0.5, -0.5, -0.47, 
## -0.45, -0.47, -0.03, -0.06, -0.18, -0.18, -0.14, -0.14, -0.22, 
## -0.26, -0.35, -0.42, -0.5, -0.61, -0.66, -0.72, -0.71, -0.56, 
## -0.48, -0.45, -0.48, -0.35, -0.29, -0.29, -0.29, -0.59, -0.59, 
## -0.55, -0.32, -0.19, -0.29, -0.27, -0.26, -0.43, -0.47, -0.51, 
## -0.61, -0.85, -0.42, -0.34, -0.47, -0.4, -0.43, -0.37, -0.24, 
## -0.34, -0.4, -0.16, -0.18, -0.18, -0.21, -0.22, -0.27, -0.29, 
## -0.32, -0.51, -0.59, -0.67, -0.58, -0.59, -0.8, -0.9, -0.74, 
## -0.66, -0.55, -0.39, -0.32, -0.27, -0.29, -0.27, -0.22, -0.22, 
## -0.35, -0.47, -0.43, -0.26, -0.22, -0.22, -0.26, -0.32, -0.37, 
## -0.5, -0.55, -0.59, -0.69, -0.69, -0.72, -0.74, -0.69, -0.66, 
## -0.58, -0.59, -0.31, -0.16, -0.16, -0.18, -0.21, 0.02, 0.05, 
## 0.03, 0, -0.02, 0.05, 0.1, 0.13, 0.13, 0.05, 0.02, 0.02, 0.02, 
## -0.02, -0.05, -0.1, -0.11, -0.14, -0.18, -0.19, -0.19, -0.24, 
## -0.24, -0.27, -0.18, -0.18, -0.19, -0.13, -0.06, 0.08, 0.06, 
## 0.05, 0.05, 0.1, 0.14, 0.14, 0.16, 0.18, 0.19, 0.21, 0.22, 0.26, 
## 0.29, 0.22, 0.16, -0.06, -0.11, -0.11, -0.13, -0.14, -0.03, 0.19, 
## 0.1, 0.14, 0.16, 0.16, 0.11, 0.11, 0.06, 0.03, 0.03, 0.02, -0.03, 
## -0.05, -0.05, -0.1, -0.14, -0.18, -0.19, -0.16, -0.06, 0.02, 
## 0.16, 0.11, 0.08, 0.06, 0.08, 0.06, 0.05, 0.05, 0.06, 0.06, 0.05, 
## 0.02, 0, -0.06, -0.1, -0.14, -0.18, -0.18, -0.18, -0.16, -0.08, 
## -0.05, -0.03, 0, 0.06, 0.1, 0.1, 0.08, 0.06, -0.42, -0.47, -0.43, 
## -0.42, -0.37, -0.39, -0.42, -0.45, -0.39, -0.42, -0.37, -0.22, 
## 0.18, 0.21, 0.22, 0.26, 0.27, 0.29, 0.31, 0.35, 0.37, 0.37, 0.39, 
## 0.37, 0.37, 0.35), gyros_belt_y = c(0, 0, 0, 0, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0.02, 0, 0, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, -0.02, 0, 0, 0, 0, 
## 0, -0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, -0.03, -0.03, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.02, -0.03, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.03, -0.02, -0.03, -0.05, -0.06, -0.06, -0.05, 
## -0.06, -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.02, 0, 0, -0.02, 0, -0.02, -0.03, -0.02, -0.03, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 
## 0, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, -0.03, -0.03, -0.03, 
## -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.05, -0.03, -0.05, -0.05, -0.05, -0.05, -0.03, 
## -0.03, -0.03, -0.03, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.03, -0.03, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.05, -0.05, -0.06, -0.05, 
## -0.05, -0.03, -0.05, -0.03, -0.05, -0.03, -0.05, -0.05, -0.03, 
## -0.03, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.02, -0.03, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.05, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.05, -0.03, -0.05, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.03, -0.05, -0.05, -0.05, -0.05, 0, 0, -0.02, 
## 0, -0.02, -0.02, -0.03, -0.03, -0.05, -0.05, -0.05, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, -0.05, -0.03, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.03, -0.02, -0.03, -0.02, -0.02, -0.03, -0.03, 
## -0.03, -0.02, -0.03, -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, 0.14, 
## 0.14, 0.13, 0.11, 0.1, 0.1, 0.11, 0.13, 0.13, 0.1, 0.08, 0.08, 
## 0.06, 0.05, 0.03, 0.05, 0.05, 0.03, 0.05, 0.06, 0.08, 0.1, 0.1, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.14, 0.14, 0.14, 0.13, 0.11, 
## 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.13, 0.14, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.05, 0.08, 0.11, 0.13, 0.18, 0.29, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.14, 0.16, 0.14, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.13, 0.18, 0.31, 0.22, 0.19, 
## 0.16, 0.16, 0.06, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.1, 0.1, 0.1, 0.08, 0.1, 0.08, 0.1, 0.11, 0.13, 
## 0.14, 0.14, 0.14, 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.08, 
## 0.06, 0.05, 0.05, 0.08, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.14, 0.13, 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.13, 0.1, 0.08, 
## 0.06, 0.06, 0.06, 0.05, 0.05, 0.08, 0.1, 0.13, 0.14, 0.14, 0.1, 
## 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.1, 0.11, 0.1, 0.1, 0.1, 
## 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0, 
## 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0, 0, 0, 
## -0.02, -0.02, 0, 0, 0.02, 0, 0.02, 0.02, 0, 0.02, 0.02, 0, 0, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0.02, 
## 0.02, 0, 0, 0.02, 0, 0.02, 0, 0.02, 0, 0.02, 0.02, 0.03, 0.03, 
## 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 
## 0, 0, -0.02, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0, -0.02, 0, 0, 
## -0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 
## -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
## 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.02, -0.02, 
## 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, -0.02, -0.02, 
## 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0, 0.02, 0.02, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 0, 0, 
## 0, -0.02, 0, 0, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, 0.03, 
## 0.03, 0.03, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, 0, -0.02, -0.02, 
## 0, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 
## -0.02, -0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 
## 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.02, 0, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, -0.02, 0, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0, 
## 0, 0, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 
## 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 
## 0, 0, -0.02, -0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 
## 0.03, 0.03, 0.03, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0, -0.02, 
## 0, 0, 0, 0.03, 0.05, 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 
## 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 
## 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 
## 0.03, 0.03, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0.02, 
## 0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, -0.02, -0.03, -0.02, -0.02, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 
## 0, 0, 0, 0, -0.02, 0, 0, 0, 0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0.02, -0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0, -0.02, 0, 0.02, 0, 0, 0, -0.02, 0, 
## 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0, 
## 0.02, 0.02, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0.02, 0, -0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 
## -0.02, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0.02, 0, 0, 0, 0.02, 0, -0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 
## 0.02, 0, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 
## -0.02, -0.02, 0, 0.03, 0, -0.02, -0.02, 0, 0.02, 0.03, 0.03, 
## -0.03, 0, 0.02, 0.03, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0.02, 
## 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0.02, 0.03, 0.03, 0.02, 0.02, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 
## 0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.03, 
## 0.02, 0, 0, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, 0, -0.02, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0.03, 0.03, 0, 0, 0, 0.02, 0, 0, 0, -0.02, -0.02, 0, 
## -0.02, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 0, 0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, 
## 0, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 
## 0, 0, -0.02, 0, 0, 0, 0.02, 0.03, 0.03, 0.02, -0.02, 0, -0.02, 
## -0.02, 0, 0.02, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 
## 0.02, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.03, 0, 0.03, 
## 0.02, 0, 0.02, 0.02, 0, 0, 0, -0.02, -0.03, -0.03, -0.02, -0.02, 
## -0.02, 0, 0, -0.02, -0.02, -0.02, 0, 0.02, 0, 0, 0, -0.02, 0, 
## 0, 0, 0, 0.03, 0.03, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 
## 0, 0, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, -0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0, 0.02, 0.03, 0.03, 0.03, 0.02, 0.03, 0.02, 
## 0, 0, 0, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, 0, 0, 0, 0, 
## 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 
## -0.02, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0.02, 0, 0, 
## 0, -0.02, 0, 0, 0, -0.02, 0, -0.02, 0.02, 0, 0.02, 0.03, 0.03, 
## 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, -0.02, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, 
## 0, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 0, -0.02, 0, 0.02, 
## 0.02, 0, 0, 0.02, 0, 0, 0, -0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 
## 0, 0.02, 0, 0, 0, -0.02, 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0, -0.02, 
## 0, 0.02, 0.03, 0.03, 0.02, 0.02, -0.02, 0, 0, 0.02, 0.02, 0, 
## 0, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 
## 0.02, 0, 0, 0, 0, 0, -0.02, 0, -0.02, -0.02, 0, 0, 0.02, 0.02, 
## 0, 0, 0, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 
## -0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 
## 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, -0.02, 0, 
## 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.05, 0.03, 0.02, 0.02, 0, 0.02, 
## 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.03, 
## 0, 0, 0.02, 0.02, 0, -0.02, 0, 0, 0.02, 0, 0, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.03, 0.03, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, 0, 0, 
## 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.03, -0.03, 
## -0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0, 0, 0.02, 0.02, 
## 0, 0, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, 0.02, 0, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, -0.02, 0.02, 0.02, 0, 0, 0.02, 0, 0, 
## 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0, 
## 0, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0, 0, 0, 0.02, 0.02, 0.03, 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0.03, 
## 0.03, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 
## 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.03, 0.03, 0.03, 
## 0.03, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, -0.02, 0, 0.02, 0, -0.02, 
## 0, -0.02, -0.03, 0, 0, -0.02, 0.02, -0.02, -0.02, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 
## 0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, -0.02, -0.02, 
## 0, 0, -0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0.02, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.03, -0.03, 0, 0, -0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.03, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.03, 
## -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, -0.02, -0.02, 0, 0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0, 0.02, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 
## 0, -0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0, 
## 0, 0.02, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.02, -0.03, -0.03, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 
## -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 0.03, 0.02, 
## 0, 0, 0, 0, 0, -0.02, 0, 0, 0, -0.02, 0, 0, 0, 0.02, 0.02, 0, 
## 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0, -0.02, 
## -0.02, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 
## 0.02, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0, 0, 0, -0.02, 
## 0, 0.02, 0.02, 0.03, 0.05, 0.05, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 
## 0, 0, -0.02, -0.02, -0.03, -0.03, -0.02, 0, -0.02, -0.02, -0.02, 
## -0.02, 0, -0.02, 0, 0.02, 0.02, 0.02, 0.05, 0.05, 0.03, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0, 0, 0, -0.02, 
## 0, 0, 0, 0.02, 0, -0.02, 0, 0, 0, 0, -0.02, 0, 0.03, 0.03, 0.02, 
## 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0.02, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 
## -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.08, 0.08, 0.1, 
## 0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, -0.02, 0, 0, 0.02, 0, -0.03, -0.1, 
## -0.05, -0.03, -0.02, 0.1, 0.14, 0.21, 0.26, 0.26, 0.27, 0.27, 
## 0.18, 0.13, 0.13, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.14, 0.18, 0.26, 0.18, 0.16, 0.18, 
## 0.21, 0.19, 0.19, 0.18, 0.16, 0.14, 0.13, 0.11, 0.1, 0.1, 0.08, 
## 0.08, 0.08, 0.08, 0.08, 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
## 0.06, 0.06, 0.08, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.06, 0.06, 
## 0.06, 0.08, 0.08, 0.08, 0.1, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.14, 0.14, 0.14, 0.19, 0.19, 0.19, 0.21, 0.22, 0.19, 0.14, 0.13, 
## 0.13, 0.11, 0.08, 0.11, 0.13, 0.11, 0.11, 0.08, 0.11, 0.13, 0.14, 
## 0.13, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.08, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.08, 0.11, 0.11, 0.1, 0.1, 
## 0.11, 0.1, 0.1, 0.08, 0.08, 0.1, 0.06, 0.08, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.1, 
## 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 0.14, 0.13, 0.13, 0.14, 
## 0.13, 0.13, 0.14, 0.14, 0.14, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.11, 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.14, 0.14, 0.13, 0.11, 0.11, 
## 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.1, 0.08, 0.08, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.1, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.13, 
## 0.14, 0.14, 0.13, 0.14, 0.13, 0.13, 0.14, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.1, 0.1, 0.1, 0.08, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 0.1, 0.1, 0.11, 
## 0.1, 0.08, 0.1, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.14, 0.13, 0.13, 0.11, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.08, 0.1, 0.08, 0.1, 0.13, 0.13, 0.13, 0.11, 
## 0.13, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.11, 0.13, 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 0.1, 
## 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.08, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.13, 0.14, 0.13, 0.13, 0.13, 0.11, 0.13, 
## 0.11, 0.1, 0.11, 0.14, 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.1, 0.08, 0.1, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.11, 0.11, 0.1, 0.08, 0.1, 0.1, 0.11, 0.11, 
## 0.13, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.08, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.06, 0.05, 
## 0.06, 0.08, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.14, 0.14, 
## 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.1, 0.1, 0.08, 0.1, 0.08, 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 0.11, 
## 0.13, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.14, 0.14, 0.16, 0.16, 0.16, 0.14, 
## 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.14, 0.14, 
## 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.1, 0.16, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.13, 0.14, 0.13, 0.14, 0.13, 
## 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.13, 0.13, 0.13, 0.11, 0.18, 0.22, 0.26, 0.34, 0.37, 0.35, 
## 0.35, 0.35, 0.29, 0.35, 0.42, 0.4, 0.4, 0.31, 0.14, 0.1, 0.06, 
## 0, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 
## 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0.02, 0.03, 0, 0, 0, -0.02, -0.02, 
## -0.02, -0.02, 0.03, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.03, 0.02, 0.03, 0.03, 0.02, -0.02, -0.02, 0, 0, 
## 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 
## 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, 0.02, 
## 0.02, 0, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 
## 0.03, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.05, -0.05, -0.05, -0.05, -0.03, -0.05, -0.05, -0.06, 
## -0.06, -0.05, -0.03, 0, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, 
## -0.03, -0.05, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.05, -0.03, -0.02, -0.02, -0.02, -0.02, -0.05, 
## -0.06, -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, 
## -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, 0.02, 0.03, 0, 0, 0.02, 0, 0, 0, 0, -0.02, -0.03, -0.02, 
## -0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 
## -0.02, -0.02, 0, -0.02, 0, -0.03, -0.02, -0.02, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.03, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, -0.03, 0, 0, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.05, -0.03, -0.03, -0.05, -0.05, -0.05, -0.03, -0.05, -0.03, 
## -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.03, -0.02, -0.03, -0.03, -0.02, -0.02, 0, -0.02, 0, 
## 0, 0, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.05, -0.05, -0.05, -0.03, -0.03, -0.02, -0.05, 
## -0.05, -0.05, -0.06, -0.06, -0.06, -0.06, -0.05, -0.05, -0.05, 
## -0.05, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
## 0, -0.02, -0.02, 0, 0, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.06, -0.06, -0.05, -0.02, 
## -0.02, 0.02, 0.03, 0.02, 0.02, 0.02, -0.02, -0.02, -0.03, -0.02, 
## -0.02, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
## -0.05, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.05, -0.06, 
## -0.06, -0.05, -0.05, -0.05, -0.05, -0.05, -0.06, -0.05, -0.06, 
## -0.06, -0.06, -0.03, -0.02, 0, 0.02, 0.02, 0, 0, -0.02, 0, 0, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 0, -0.02, 
## -0.02, -0.02, -0.03, -0.03, 0, 0.02, 0, -0.02, -0.02, -0.03, 
## -0.05, -0.05, -0.05, -0.05, -0.05, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, -0.02, 
## -0.03, -0.02, -0.03, -0.05, -0.06, -0.05, -0.06, -0.06, -0.06, 
## -0.06, -0.06, -0.05, -0.05, -0.03, -0.03, -0.02, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.03, -0.05, -0.06, 
## -0.06, -0.08, -0.08, -0.1, -0.08, -0.06, -0.02, -0.02, -0.05, 
## -0.03, -0.02, -0.02, -0.05, -0.05, -0.05, 0, -0.02, -0.05, -0.05, 
## -0.06, -0.06, -0.06, -0.08, -0.08, -0.08, -0.08, -0.06, -0.06, 
## -0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0.02, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, 
## -0.05, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.05, -0.05, -0.06, -0.06, -0.08, -0.08, -0.1, -0.1, -0.1, -0.08, 
## -0.02, -0.02, -0.02, 0, 0, -0.02, 0, 0, 0, 0, 0, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.06, -0.05, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0.02, 
## 0.03, 0.05, 0.05, 0.05, 0.03, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.03, 0.02, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, -0.02, 0, -0.02, -0.02, 0, 0, 0, 0, 0.03, 
## 0.05, 0.05, 0.03, 0.03, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, 0.02, 0, -0.02, 0, -0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 
## 0, 0, 0, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 
## 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 
## 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, 
## 0.02, 0.03, 0.02, 0.03, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## -0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.03, 
## 0.03, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, 
## 0, 0, -0.02, 0, 0.02, 0.02, 0, 0, 0.02, 0, 0, 0.02, 0, 0, 0, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 0, 0, 0, 0, 0.02, 0, 
## 0, 0, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 0, 
## 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.03, 
## 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## 0.02, 0.02, 0, -0.02, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.03, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 
## 0, 0.02, 0.02, 0, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, 0.03, 
## 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 
## 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0.02, 0, -0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0, 0.02, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0.03, 0.03, 0.03, 
## 0.03, 0.02, 0.02, 0.02, 0, 0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, 
## -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 
## -0.02, 0, 0.02, 0.02, 0, 0.02, 0, 0, 0, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, -0.02, 0, 0, 0, 
## 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0, 0, 0.02, 0.02, 0.03, 0, 0, 0, 0.02, 0.02, 0.02, 0, -0.02, 
## 0, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 
## 0.02, 0.03, 0.02, 0.02, 0.02, 0.03, 0.02, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, -0.02, -0.03, -0.03, -0.05, 
## 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, -0.02, 0, 0.02, 
## 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, -0.02, -0.02, 0, 0, 0.03, 
## 0.03, 0.02, 0.03, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.03, -0.03, 
## -0.02, -0.03, -0.03, -0.03, -0.03, 0, 0.02, 0.02, 0.02, 0.03, 
## 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.02, 
## 0, 0, 0.02, 0.02, 0.03, 0.03, 0, 0, 0.02, 0.02, 0, -0.02, -0.02, 
## -0.02, -0.03, -0.02, 0, 0, -0.02, -0.03, -0.05, -0.05, 0, -0.02, 
## 0, 0, 0.03, 0.05, 0.03, 0.03, 0.03, 0.02, 0.02, 0, 0, -0.02, 
## 0, -0.02, -0.02, 0, -0.02, -0.02, -0.03, -0.02, -0.02, 0, 0, 
## 0, 0.02, 0, 0.03, 0.03, 0.03, 0, 0, 0, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.03, 
## 0.03, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 
## -0.03, -0.03, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, 0, -0.02, -0.02, 
## -0.03, -0.03, -0.03, 0, 0, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 
## 0.02, -0.02, 0, 0, 0, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.03, -0.02, 0, 0.03, 0.03, 0.03, 0.03, 
## 0.02, 0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, 0.02, 0.03, 0.03, 0.03, 
## 0.02, 0.02, 0.03, 0.02, 0, 0.02, 0.02, -0.02, -0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0.02, -0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 
## 0.02, 0, -0.03, -0.03, -0.03, -0.02, 0, 0, 0.02, 0, 0.03, 0.03, 
## 0.03, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, 0.03, 0.02, 
## 0, -0.02, -0.03, -0.02, -0.02, 0.02, 0.03, 0.03, 0, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 
## -0.02, -0.02, -0.02, 0, -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, 
## 0, 0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0, -0.02, 
## -0.02, -0.03, -0.03, 0, -0.02, -0.02, 0, 0, 0, 0, 0, -0.02, 0, 
## 0, -0.02, -0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, -0.02, 0, 0.02, 
## 0.02, 0.02, 0.02, -0.02, -0.02, 0, 0, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.1, 
## 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.1, 0.1, 0.08, 0.1, 0.1, 0.11, 0.1, 0.1, 0.08, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.14, 0.16, 
## 0.14, 0.14, 0.16, 0.14, 0.13, 0.11, 0.08, 0.05, 0.06, 0.1, 0.08, 
## 0.06, 0.06, 0.08, 0.08, 0.1, 0.16, 0.14, 0.13, 0.11, 0.14, 0.18, 
## 0.16, 0.11, 0.11, 0.14, 0.13, 0.13, 0.11, 0.08, 0.06, 0.05, 0.1, 
## 0.11, 0.13, 0.13, 0.13, 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.14, 0.13, 0.13, 0.13, 0.13, 0.11, 0.1, 
## 0.1, 0.08, 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 
## 0.14, 0.14, 0.14, 0.16, 0.14, 0.13, 0.14, 0.13, 0.13, 0.11, 0.13, 
## 0.13, 0.13, 0.13, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.13, 
## 0.1, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.14, 0.13, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.13, 0.13, 0.13, 0.11, 0.11, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.13, 0.13, 0.14, 
## 0.14, 0.13, 0.13, 0.13, 0.13, 0.14, 0.13, 0.14, 0.14, 0.14, 0.14, 
## 0.14, 0.14, 0.13, 0.13, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.08, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.14, 0.14, 0.14, 0.14, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.13, 0.13, 0.16, 0.14, 0.13, 
## 0.11, 0.1, 0.06, 0.08, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.1, 0.1, 0.11, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.14, 0.14, 0.14, 0.21, 0.22, 0.16, 0.13, 0.13, 0.13, 0.11, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.1, 0.1, 0.08, 0.1, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.1, 0.1, 0.11, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.13, 0.13, 0.14, 0.14, 0.16, 0.16, 0.14, 0.13, 0.1, 0.1, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.11, 0.08, 0.08, 0.08, 0.1, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 
## 0.14, 0.19, 0.11, 0.08, 0.1, 0.13, 0.13, 0.11, 0.1, 0.1, 0.11, 
## 0.11, 0.1, 0.16, 0.16, 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.1, 0.11, 0.1, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.14, 0.14, 0.14, 0.14, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.14, 0.14, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.14, 0.14, 0.13, 0.14, 0.14, 0.16, 0.14, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.13, 0.11, 0.11, 0.11, 0.11, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.03, 0.03, 0.02, 0, 0, 0, -0.03, 
## -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0, -0.02, 0, 0.02, 0.03, 0.03, 0.03, 0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0, -0.02, 0, -0.02, -0.02, -0.02, 0, 
## 0, 0.02, 0.03, 0.05, 0.05, 0.03, 0.02, 0.02, 0.03, 0.03, 0.03, 
## 0.02, 0.02, 0, -0.02, 0, -0.02, -0.02, 0, 0, 0, 0.03, 0.02, 0, 
## 0.02, 0.02, 0, 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0, -0.02, 
## 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 
## 0, 0, 0, 0, -0.02, -0.03, -0.05, -0.03, -0.02, -0.02, -0.02, 
## -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 
## 0.02, 0, -0.02, -0.02, 0, -0.02, -0.02, -0.05, -0.03, -0.03, 
## -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, -0.02, 
## 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0.03, 0.02, 0.02, 0, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.03, 0.03, 0, 0, 0.02, 
## 0.02, 0.02, 0, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.02, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 
## 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0, 0, 
## -0.02, 0, -0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, 
## -0.02, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
## -0.03, -0.05, -0.03, -0.03, -0.05, -0.03, -0.02, -0.02, 0, 0, 
## -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.03, -0.05, -0.05, 
## -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, 
## -0.03, -0.03, -0.03, -0.05, -0.05, -0.06, -0.06, -0.05, -0.05, 
## -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, 0, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.05, 0.02, 0.02, 
## 0, 0, 0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 
## 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 
## 0, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, -0.02, 0, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, -0.02, 
## 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, -0.06, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.02, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.05, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, -0.05, -0.05, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, 
## -0.05, -0.05, -0.06, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, 
## -0.02, -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.05, -0.03, -0.05, -0.05, -0.03, -0.03, 
## -0.02, -0.03, -0.03, -0.02, -0.03, -0.02, -0.03, -0.03, -0.05, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.05, -0.03, -0.05, -0.05, -0.05, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, -0.02, -0.03, 
## -0.02, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.06, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, -0.02, -0.02, 
## -0.03, 0.02, -0.02, -0.02, -0.05, -0.05, -0.06, -0.05, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.05, 
## -0.02, -0.02, 0, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.03, -0.05, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.05, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.05, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 0, -0.02, 0, 0.02, 
## 0.03, 0.03, 0.03, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 
## 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 
## 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 0.03, 0.03, 0.02, 0, 0, 
## 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, -0.02, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0, 0, 0.02, 0, 0, 
## 0, 0, 0, 0, 0, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0, -0.02, 0, -0.02, 0, 0, 0.02, 0.02, 0.03, 0.03, -0.02, 0, 
## -0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0, -0.02, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 
## -0.02, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 0, 0, 0, -0.02, 0, 0, 
## 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, -0.02, 0, 0.02, 0.02, 0.02, 
## 0, 0, 0, -0.02, 0, -0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0, 0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, -0.03, 
## -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, 0, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 
## 0, -0.02, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 
## 0.02, 0.02, 0, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, 0, 0, 0, -0.03, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, -0.02, -0.02, 
## 0, 0, -0.02, 0, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.03, 0.03, 0.02, 
## 0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 0, 
## 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 0, 0, 0, 
## 0, 0, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.02, 0, 0, -0.02, 
## -0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0.02, 0, 0, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, 0, 0, 0, 0, 0, 
## 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 
## -0.02, 0, 0, -0.02, -0.02, 0, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0, 
## 0, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 
## 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0, -0.02, 0, 0.02, 
## 0.08, 0.08, 0.06, 0.06, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, 0, 0, 0, 0, -0.02, 0.02, 0.02, 0, 0, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 
## 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, 0, 0, 0, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 
## 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 0, 0.02, 
## 0.03, 0.02, 0, -0.02, -0.02, -0.02, -0.03, 0, 0.02, 0.02, 0, 
## 0, 0.02, 0, 0.02, 0.03, 0.05, 0.03, 0.03, 0.03, 0, 0, 0, 0.02, 
## 0.02, 0, 0.02, 0.02, 0.02, 0, 0, -0.02, 0, -0.02, -0.02, 0, 0, 
## -0.02, 0, -0.02, -0.02, 0, -0.02, 0.02, 0.02, 0.02, 0, 0, 0, 
## -0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 
## 0.05, 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0, 0, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 
## -0.02, -0.02, 0, 0, 0, -0.02, 0, 0, 0, -0.02, 0, -0.02, 0, 0, 
## 0, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0, -0.02, 
## 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, -0.02, 0, 0, 0, 
## 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0, 0, 0, 0, 
## 0, 0.02, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, -0.02, 0, 0, -0.02, 
## -0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, -0.02, -0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 
## 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, 
## 0, 0, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, -0.02, 0, -0.02, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.03, 0.03, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0, -0.02, 
## -0.03, -0.03, -0.02, -0.02, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 
## 0.03, 0.03, 0.02, 0.02, 0, 0, -0.02, 0, 0, -0.02, 0, 0, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.03, 
## -0.02, 0, 0, 0, 0.02, 0.02, 0, 0.03, 0.02, 0, 0, 0.02, 0.02, 
## 0.03, 0, 0, 0, -0.02, 0, -0.02, -0.02, 0, 0.02, 0.02, 0, 0, 0, 
## 0, 0, 0.02, 0, -0.02, 0, 0, 0, 0.02, 0, 0, 0.02, 0.03, 0.03, 
## 0.03, 0.03, 0.03, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 
## 0, 0, 0.02, 0.02, 0, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, 0, 0.02, 0.03, 0.03, 
## 0.03, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.02, 0, 0.02, 0, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, 0, 
## -0.02, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0, 0, 
## 0, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, -0.02, -0.02, 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 
## 0, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 
## 0.02, 0, 0, 0.02, 0.02, 0.03, 0.02, 0, 0, 0, -0.02, -0.03, -0.03, 
## -0.03, 0, 0.02, 0.03, 0.02, -0.02, -0.02, 0, 0, 0.03, 0.02, 0.02, 
## 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.05, -0.05, -0.05, -0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, -0.02, 0, -0.03, 
## -0.02, 0, 0, 0, 0.02, 0.02, 0.03, 0.02, -0.02, -0.03, -0.02, 
## 0.02, 0.02, 0, 0, 0.02, 0.02, 0, -0.02, 0, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 
## -0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0.02, 0, 0, 0, -0.02, 0, -0.02, -0.02, -0.02, 0, 
## -0.02, -0.03, -0.03, 0, 0.02, 0.02, 0, 0, 0.02, 0, 0.02, 0.02, 
## 0.02, 0, -0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0.11, 0.11, 0.13, 
## 0.11, 0.1, 0.08, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.08, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.13, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.08, 
## 0.06, 0.06, 0.08, 0.11, 0.13, 0.13, 0.13, 0.14, 0.13, 0.13, 0.13, 
## 0.11, 0.13, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.13, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.13, 0.11, 0.11, 0.13, 
## 0.13, 0.14, 0.16, 0.16, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.1, 
## 0.1, 0.13, 0.11, 0.1, 0.11, 0.13, 0.11, 0.11, 0.14, 0.14, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.13, 0.1, 0.1, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.1, 0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.1, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 0.08, 0.13, 0.13, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.14, 0.14, 0.13, 0.14, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.1, 0.1, 0.1, 0.08, 0.08, 0.1, 0.1, 0.11, 0.13, 0.11, 
## 0.11, 0.06, 0.11, 0.11, 0.13, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.1, 0.1, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.13, 0.13, 0.14, 0.14, 0.1, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.13, 0.11, 
## 0.1, 0.1, 0.11, 0.1, 0.11, 0.13, 0.13, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.08, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.1, 0.1, 0.08, 0.08, 0.1, 0.11, 
## 0.16, 0.14, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 0.13, 0.14, 0.11, 0.11, 
## 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.13, 0.14, 0.14, 
## 0.13, 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.13, 0.13, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 0.13, 
## 0.11, 0.1, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 
## 0.08, 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.11, 0.14, 0.14, 0.13, 0.11, 0.13, 0.11, 
## 0.1, 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.1, 0.13, 
## 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 
## 0.13, 0.13, 0.13, 0.14, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.13, 0.13, 0.11, 0.08, 0.06, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 0.11, 0.1, 
## 0.1, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, -0.02, 0, 
## 0.02, 0, 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, -0.02, 0, 0, 0, -0.02, 
## 0, 0, 0, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0, -0.02, -0.02, -0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, 0.05, 0.03, 0.05, 0.05, 0.03, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, -0.02, -0.02, -0.05, 
## -0.03, -0.02, -0.03, -0.03, -0.05, -0.03, -0.02, -0.03, -0.03, 
## -0.05, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.05, -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.02, 0, -0.02, 0, -0.02, 0, 0, 0, 0, -0.02, -0.02, -0.03, -0.05, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.02, 0, -0.03, -0.05, -0.03, -0.05, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.03, -0.05, -0.03, -0.05, -0.03, -0.02, -0.02, -0.03, 
## -0.03, -0.02, -0.02, -0.02, -0.03, 0, 0, 0, 0, 0, -0.02, 0, 0, 
## 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, 0, -0.02, -0.02, -0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0.03, 0, 0, 
## 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, -0.02, 0.02, 0, 
## 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 
## 0.02, 0, 0, 0.02, 0.02, 0, -0.02, -0.02, -0.02, 0, -0.02, 0, 
## -0.02, 0.02, 0.02, 0, 0, 0, -0.02, 0, 0, 0, 0.02, 0.03, 0.02, 
## 0.03, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, -0.02, -0.02, 0, -0.02, 0, 
## -0.02, -0.02, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, -0.02, 0, 0, 
## 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0.03, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, 
## -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
## -0.06, -0.03, -0.03, -0.05, -0.02, 0, -0.02, -0.02, -0.03, -0.03, 
## -0.03, -0.05, -0.03, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.03, -0.05, 
## -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, 
## -0.03, -0.02, -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, -0.06, 
## -0.06, -0.06, -0.05, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.05, -0.03, -0.05, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.05, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.05, -0.05, -0.02, -0.02, 0, 0.02, -0.02, -0.03, 
## -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, -0.03, -0.02, 
## -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.05, -0.05, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.05, -0.05, -0.02, 0, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.05, -0.03, -0.05, -0.03, -0.03, -0.02, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, -0.03, -0.03, 
## -0.02, -0.03, -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.03, 0, -0.03, 0, 0, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.02, 0, 0.02, 0, -0.06, -0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 
## 0.13, 0.13, 0.13, 0.14, 0.14, 0.13, 0.11, 0.1, 0.11, 0.11, 0.16, 
## 0.11, 0.1, 0.1, 0.1, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.13, 0.1, 0.11, 0.1, 0.1, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.14, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.1, 0.1, 0.1, 0.1, 0.08, 0.08, 0.1, 0.1, 0.11, 0.11, 0.11, 0.1, 
## 0.1, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 0.11, 0.11, 
## 0.11, 0.1, 0.08, 0.1, 0.13, 0.13, 0.13, 0.14, 0.13, 0.14, 0.14, 
## 0.13, 0.11, 0.1, 0.1, 0.11, 0.13, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.14, 0.16, 0.13, 0.13, 0.14, 0.13, 0.13, 0.13, 0.1, 0.11, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.14, 0.13, 0.13, 0.11, 0.13, 0.13, 0.14, 0.14, 0.18, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.11, 0.1, 0.08, 0.06, 0.06, 0.11, 0.13, 0.14, 
## 0.14, 0.14, 0.13, 0.16, 0.14, 0.13, 0.08, 0.05, 0.06, 0.06, 0.1, 
## 0.1, 0.16, 0.16, 0.13, 0.13, 0.14, 0.16, 0.13, 0.13, 0.13, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.06, -0.08, -0.1, -0.1, -0.14, 
## -0.11, 0, 0.08, 0.14, 0.19, 0.21, 0.21, 0.19, 0.21, 0.13, 0.05, 
## 0.03, 0.03, 0, -0.05, -0.06, -0.1, -0.13, -0.13, -0.14, -0.14, 
## -0.18, -0.18, -0.18, -0.16, -0.19, -0.19, -0.21, -0.22, -0.24, 
## -0.24, -0.24, -0.24, -0.18, -0.18, -0.16, -0.14, -0.13, -0.11, 
## -0.1, -0.05, -0.02, -0.02, 0.02, 0.03, 0.06, 0.08, 0.1, 0.11, 
## 0.11, 0.11, 0.13, 0.13, 0.14, 0.18, 0.21, 0.24, 0.37, 0.5, 0.51, 
## 0.48, 0.26, 0.13, 0.1, 0.06, 0.05, 0.06, 0.05, 0.02, -0.03, -0.05, 
## -0.08, -0.1, -0.11, -0.14, -0.16, -0.19, -0.19, -0.19, -0.19, 
## -0.19, -0.21, -0.19, -0.18, -0.14, -0.14, -0.13, -0.13, -0.14, 
## -0.21, -0.22, -0.22, -0.18, -0.13, -0.11, 0.26, 0.22, 0.21, 0.16, 
## 0.13, 0.02, 0, -0.08, -0.1, -0.19, -0.21, -0.21, -0.24, -0.24, 
## -0.29, -0.31, -0.31, -0.31, -0.29, -0.26, -0.24, -0.22, -0.22, 
## -0.16, -0.14, -0.13, -0.11, -0.08, -0.06, -0.06, -0.05, -0.05, 
## -0.05, -0.05, 0.06, 0.11, 0.11, 0.11, 0.11, 0.13, 0.14, 0.16, 
## 0.18, 0.19, 0.22, 0.24, 0.31, 0.42, 0.43, 0.45, 0.42, 0.39, 0.4, 
## 0.47, 0.5, 0.48, 0.47, 0.45, 0.31, 0.27, 0.24, 0.16, 0.08, 0.03, 
## -0.11, -0.13, -0.14, -0.18, -0.21, -0.21, -0.21, -0.21, -0.22, 
## -0.24, -0.24, -0.24, -0.22, -0.22, -0.24, -0.24, -0.18, -0.16, 
## -0.14, -0.16, -0.16, -0.19, -0.21, -0.24, -0.19, -0.21, -0.13, 
## -0.13, -0.11, -0.08, -0.06, -0.03, -0.02, 0.02, 0.03, 0.05, 0.1, 
## 0.11, 0.11, 0.13, 0.19, 0.19, 0.21, 0.22, 0.32, 0.37, 0.39, 0.37, 
## 0.34, 0.39, 0.37, 0.31, 0.16, 0.11, 0.05, 0.02, -0.03, -0.05, 
## -0.06, -0.08, -0.11, -0.13, -0.18, -0.19, -0.19, -0.22, -0.22, 
## -0.24, -0.26, -0.24, -0.21, -0.19, -0.19, -0.19, -0.16, -0.18, 
## -0.19, -0.19, -0.18, -0.16, -0.13, -0.13, -0.08, -0.05, -0.02, 
## 0.02, 0.03, 0.05, 0.05, 0.08, 0.1, 0.11, 0.13, 0.13, 0.14, 0.18, 
## 0.18, 0.18, 0.19, 0.24, 0.26, 0.29, 0.32, 0.34, 0.32, 0.27, 0.26, 
## 0.24, 0.22, 0.21, 0.18, 0, -0.11, -0.11, -0.16, -0.18, -0.18, 
## -0.19, -0.21, -0.21, -0.22, -0.26, -0.26, -0.26, -0.24, -0.24, 
## -0.24, -0.26, -0.26, -0.24, -0.24, -0.16, -0.13, -0.13, -0.08, 
## -0.05, -0.02, 0.06, 0.1, 0.13, 0.21, 0.21, 0.21, 0.19, 0.21, 
## 0.21, 0.19, 0.21, 0.22, 0.26, 0.26, 0.27, 0.29, 0.31, 0.27, 0.26, 
## 0.26, 0.18, 0.14, 0.1, 0.02, 0, -0.05, -0.06, -0.08, -0.1, -0.13, 
## -0.14, -0.14, -0.14, -0.18, -0.18, -0.21, -0.21, -0.22, -0.22, 
## -0.19, -0.18, -0.16, -0.19, -0.19, -0.19, -0.19, -0.19, -0.18, 
## -0.18, -0.16, -0.16, -0.13, -0.13, -0.13, -0.13, -0.1, -0.06, 
## 0.02, 0.06, 0.08, 0.11, 0.16, 0.16, 0.18, 0.18, 0.18, 0.16, 0.18, 
## 0.18, 0.22, 0.26, 0.29, 0.31, 0.31, 0.32, 0.32, 0.31, 0.32, 0.26, 
## 0.24, 0.21, 0.18, 0.08, 0.05, 0.02, -0.06, -0.06, -0.1, -0.11, 
## -0.13, -0.16, -0.16, -0.18, -0.18, -0.19, -0.24, -0.24, -0.22, 
## -0.21, -0.21, -0.21, -0.22, -0.21, -0.16, -0.14, -0.13, -0.11, 
## -0.11, -0.08, -0.08, -0.05, -0.02, 0, 0, 0, 0, -0.02, -0.03, 
## -0.02, 0, 0.02, 0.03, 0.02, 0, 0, 0, -0.02, 0, 0.02, 0, 0, 0.02, 
## 0, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 
## 0.05, 0.03, 0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 
## -0.02, -0.02, 0, 0, 0, 0, 0.03, 0.03, 0.03, 0.02, 0.02, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, -0.02, 0, -0.02, 0, 0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, 
## 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 
## 0, 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0, 0, -0.02, -0.03, 
## -0.02, -0.02, -0.02, 0, 0, -0.02, 0, 0, 0.02, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 
## 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0, -0.02, -0.02, 0, 0, 0, 
## 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0, 0, 0, 0.02, 0.02, -0.02, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, 0.02, 0, 
## 0, 0, -0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0, 0, 0, -0.02, 0, -0.02, 
## 0, -0.02, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 
## 0, 0, 0, 0, 0.02, 0, -0.02, 0.02, 0, 0.02, 0.03, 0.05, 0.03, 
## 0.03, 0.03, 0.03, 0, 0.02, 0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0.02, 
## 0, 0, 0, 0, 0, -0.02, 0, 0, -0.03, 0, 0, 0, 0, -0.02, 0.02, 0, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, -0.02, 0, 0, 0, 0.03, 
## 0.03, 0.03, 0.03, 0, -0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 
## -0.02, 0, -0.02, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## -0.02, -0.02, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0.02, 0.03, 0.03, 0.02, 
## 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0.03, 0.03, 0.03, 0.02, 0, 0.02, 0.02, 0, 0, 0, 
## 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0, -0.02, -0.02, -0.02, -0.02, 0, 0.02, 0, 0, 0, 0, 0, 0.02, 
## 0, 0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 
## 0, 0, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 
## 0, 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, -0.02, 
## 0, -0.02, -0.02, -0.02, -0.03, 0, 0.02, 0.02, 0.02, 0.02, 0, 
## 0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0.02, 0.03, 0.03, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.03, -0.05, -0.06, -0.02, 
## -0.03, -0.03, -0.03, 0, 0, -0.03, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, -0.02, -0.05, -0.03, -0.03, -0.03, -0.02, 
## -0.02, 0, 0, 0, 0.02, 0, 0, 0.02, 0.03, 0.05, 0.06, 0.08, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.05, -0.06, -0.06, -0.06, -0.06, -0.06, 
## -0.06, -0.06, -0.06, -0.05, -0.03, -0.03, 0.1, -0.05, -0.08, 
## -0.06, 0.02, 0, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, 0.02, 
## 0.02, 0, 0, 0.02, 0, 0, 0, 0, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.1, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.18, 0.22, 
## 0.27, 0.18, 0.1, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0.08, 
## 0.13, 0.18, 0.22, 0.26, 0.26, 0.27, 0.29, 0.27, 0.22, 0.03, 0.16, 
## 0.18, 0.08, 0.08, 0.08, 0.08, 0.1, 0.11, 0.11, 0.08, 0.1, 0.16, 
## 0.16, 0.18, 0.16, 0.19, -0.06, -0.05, -0.05, -0.03, -0.02, 0.02, 
## 0.02, 0.03, 0.05, 0.06, 0.08, 0.13, 0.13, 0.13, 0.14, 0.18, 0.16, 
## 0.14, 0.19, 0.18, 0.19, 0.21, 0.22, 0.18, 0.1, 0.16, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 
## 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.14, 0.13, 0.13, 0.13, 0.11, 0.13, 0.11, 0.13, 
## 0.14, 0.14, 0.13, 0.08, 0.06, 0.06, 0.22, 0.24, 0.24, 0.11, -0.03, 
## 0.02, 0.05, 0.06, 0.1, 0.16, 0.16, 0.14, 0.13, 0.1, 0.08, 0.1, 
## 0.1, 0.1, 0.1, 0.08, 0.08, 0.08, 0.08, 0.1, 0.08, 0.1, 0.1, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.14, 0.14, 0.14, 0.14, 0.13, 0.13, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.13, 0.13, 0.11, 0.1, 0.11, 0.11, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.11, 
## 0.11, 0.13, 0.11, 0.1, 0.11, 0.11, 0.13, 0.13, 0.14, 0.14, 0.11, 
## 0.1, 0.1, 0.1, 0.11, 0.13, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 0.13, 
## 0.11, 0.11, 0.13, 0.13, 0.1, 0.1, 0.13, 0.13, 0.13, 0.13, 0.13, 
## 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.08, 0.08, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.11, 0.11, 0.11, 0.1, 0.11, 0.11, 0.1, 0.1, 0.1, 
## 0.1, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.1, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.08, 0.08, 0.1, 0.1, 
## 0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.13, 0.14, 0.14, 0.13, 0.13, 
## 0.11, 0.11, 0.11, 0.11, 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 0.13, 
## 0.13, 0.13, 0.11, 0.13, 0.1, 0.1, 0.1, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.11, 0.11, 0.1, 0.1, 0.08, 0.08, 0.1, 0.08, 0.1, 0.11, 
## 0.11, 0.13, 0.13, 0.14, 0.14, 0.16, 0.16, 0.14, 0.14, 0.14, 0.13, 
## -0.02, 0, -0.02, 0, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 
## 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0.03, 0.05, 0, 0, 0, 0, -0.02, 
## -0.02, -0.02, 0, 0, 0.02, 0, 0, -0.02, 0, -0.02, 0, -0.02, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, 
## -0.02, 0, 0, 0, 0, 0.02, 0, -0.02, 0, 0, 0.02, 0, 0, 0, 0.02, 
## 0.03, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 
## -0.02, 0, 0, 0, 0, 0, -0.22, -0.19, -0.18, -0.19, -0.08, -0.06, 
## -0.05, -0.03, 0.06, 0.06, 0.06, 0.06, 0.06, 0.1, 0.19, 0.21, 
## 0.22, 0.26, 0.35, 0.37, 0.35, 0.35, 0.13, 0.08, 0.02, -0.05, 
## -0.06, -0.08, -0.13, -0.14, -0.16, -0.19, -0.22, -0.22, -0.22, 
## -0.22, -0.22, -0.24, -0.26, -0.26, -0.26, -0.24, -0.24, -0.22, 
## -0.21, -0.18, -0.18, -0.18, -0.13, -0.11, -0.08, -0.08, -0.1, 
## -0.11, -0.11, -0.08, -0.05, 0.1, 0.11, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.13, 0.13, 0.14, 0.18, 0.19, 0.21, 0.22, 0.22, 0.29, 0.34, 
## 0.37, 0.37, 0.31, 0.1, 0.06, -0.06, -0.06, -0.1, -0.11, -0.11, 
## -0.13, -0.13, -0.14, -0.14, -0.16, -0.16, -0.14, -0.16, -0.18, 
## -0.19, -0.22, -0.22, -0.22, -0.22, -0.21, -0.19, -0.19, -0.19, 
## -0.13, -0.1, -0.03, 0.03, 0.06, 0.08, 0.08, 0.1, 0.11, 0.11, 
## 0.13, 0.16, 0.18, 0.19, 0.21, 0.22, 0.22, 0.24, 0.32, 0.32, 0.31, 
## 0.26, 0.22, 0.19, 0.18, 0.16, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.03, 
## -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.05, -0.03, 
## -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, -0.05, 
## -0.05, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.03, 0.03, 0.02, 0, -0.02, -0.02, -0.03, -0.02, -0.02, -0.03, 
## -0.02, 0, 0, -0.02, 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 
## 0, 0, 0.03, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.08, 0.03, 
## 0, -0.06, -0.03, -0.08, -0.13, -0.16, -0.16, -0.14, -0.31, -0.35, 
## -0.22, -0.32, -0.24, -0.37, -0.35, -0.35, -0.4, -0.45, -0.43, 
## -0.22, -0.13, -0.13, -0.13, -0.1, -0.05, -0.03, 0, 0, 0.03, 0.03, 
## 0.03, 0.03, 0, -0.02, -0.03, -0.05, -0.03, -0.03, -0.03, 0, 0, 
## 0, 0.02, 0, 0, 0.02, 0.03, 0.03, 0.11, 0.11, 0.11, 0.13, 0.14, 
## 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.16, 0.16, 0.14, 0.16, 0.21, 
## 0.21, 0.22, 0.21, 0.13, 0.13, 0.1, 0.16, 0.21, 0.13, 0.11, 0.08, 
## 0.06, 0.1, 0.14, 0.06, 0.08, 0.11, 0.11, 0.11, 0.11, 0.1, 0.08, 
## 0.06, 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.05, 0.13, 0.11, 0.06, 
## 0.05, 0.03, 0.05, 0.06, 0.06, 0.1, 0.1, 0.13, 0.14, 0.13, 0.13, 
## 0.13, 0.14, 0.16, 0.11, 0.13, 0.11, 0.11, 0.1, 0.1, 0.11, 0.13, 
## 0.13, 0.11, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.11, 0.13, 0.13, 
## 0.13, 0.16, 0.16, 0.05, -0.02, -0.05, -0.08, -0.08, -0.03, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0.11, 0.22, 0.27, 0.27, 0.27, 0.14, 
## 0, 0, 0.06, 0.39, 0.39, 0.42, 0.42, 0.35, 0.19, 0.13, 0.13, 0.16, 
## 0.18, 0.16, 0.11, 0.06, -0.02, -0.03, -0.08, -0.11, -0.18, -0.19, 
## 0.14, 0.31, -0.08, -0.11, -0.13, -0.03, 0, 0.02, 0.05, 0.29, 
## 0.27, 0.18, 0.21, 0.14, 0.14, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 
## 0.03, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 0.08, 0.06, 0.03, -0.05, 
## -0.05, -0.06, -0.06, -0.08, -0.06, -0.06, 0.02, 0.03, 0.05, 0.05, 
## 0.03, 0.03, 0.03, 0.02, 0.02, 0.03, 0.03, 0.05, 0.02, 0.03, 0.02, 
## 0, 0, 0, 0.02, 0, -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, 
## -0.02, 0, 0.02, 0.05, 0.06, 0.05, 0.05, 0.05, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0.02, 0.03, 0.03, 0.11, 0.1, 0.08, 0.08, 0.06, 
## 0.06, 0.05, 0.03, 0.02, 0, 0, 0, 0, -0.02, -0.03, -0.02, -0.02, 
## 0, 0, 0, 0, 0.03, 0.05, 0.06, 0.06, 0.03, 0.02, 0.03, 0.03, -0.02, 
## -0.03, -0.05, -0.08, -0.06, -0.05, -0.03, -0.02, -0.02, -0.03, 
## -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, 0, 0, 0, 0.02, 0.03, 
## 0.02, 0.03, 0.02, 0.03, 0.03, 0.02, 0.03, 0.03, 0.02, 0.02, 0, 
## 0.02, 0.03, 0.05, 0.05, 0.06, 0.08, 0.06, 0.06, 0.06, 0.06, 0.06, 
## 0.02, 0.02, 0.02, -0.05, -0.05, -0.03, -0.03, -0.05, -0.05, -0.03, 
## -0.02, -0.02, 0, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.03, -0.03, -0.05, -0.05, -0.06, -0.06, -0.05, -0.05, -0.05, 
## -0.05, -0.02, -0.02, -0.02, 0, 0.02, 0.03, -0.05, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
## -0.03, -0.03, -0.05, -0.06, -0.02, -0.02, 0.02, 0.02, 0.02, 0.03, 
## 0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 0.05, 0, -0.02, -0.03, -0.05, 
## -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.06, -0.05, -0.03, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, 0, 0, 
## 0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 0.06, 0.08, 0.08, 0.06, 0.05, 
## 0.03, 0.03, 0.03, 0.02, 0.02, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 
## -0.02, -0.02, 0, 0, 0.02, 0.03, -0.02, 0.02, 0.03, 0.05, 0.05, 
## 0.06, 0.05, 0.05, 0.05, 0.05, 0.03, 0.03, 0.05, 0.05, 0.05, 0.05, 
## 0.06, 0.06, 0.06, 0.05, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0.03, 
## 0, -0.02, -0.02, -0.05, -0.05, -0.03, -0.05, -0.05, -0.05, -0.06, 
## -0.06, -0.08, -0.1, -0.05, -0.05, -0.06, -0.05, 0.03, 0.03, 0.03, 
## 0.03, 0.03, 0.03, 0.03, 0.05, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 
## 0.06, 0.1, 0.1, 0.06, 0, 0, -0.02, -0.03, -0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.03, 
## -0.03, -0.05, -0.05, -0.03, -0.02, -0.06, -0.08, -0.1, -0.05, 
## -0.06, -0.05, -0.05, -0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 
## 0.05, 0.06, 0.06, 0.05, 0.05, 0.05, 0.03, 0.03, 0.05, 0.03, 0.05, 
## 0.06, 0.06, 0.08, 0.08, 0.06, 0.06, 0.06, 0.1, 0.06, 0.05, 0.05, 
## 0.05, 0.02, -0.03, -0.05, -0.05, -0.06, -0.06, -0.06, -0.05, 
## -0.03, -0.05, -0.03, -0.03, -0.06, -0.03, -0.05, -0.06, -0.06, 
## -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, -0.02, 0, 0.03, 0.03, 0.03, 0.02, 0.03, 0.02, 0.02, 0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 
## 0, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 
## 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.03, -0.02, 0.02, 0.02, 0, 0, 0, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.05, -0.05, -0.1, -0.13, 
## -0.14, -0.14, -0.06, -0.05, -0.05, -0.06, -0.05, -0.03, -0.02, 
## 0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 0.05, 0, -0.14, -0.18, -0.13, 
## -0.11, -0.03, 0.08, 0.02, 0.05, 0.06, 0.06, 0.05, 0.03, 0.02, 
## 0.02, 0, -0.02, -0.03, -0.05, -0.03, -0.02, 0, 0.03, 0.05, 0.05, 
## 0.02, 0.05, 0.06, 0.06, 0.06, 0.02, -0.02, -0.03, -0.1, -0.13, 
## -0.11, -0.18, -0.13, -0.13, -0.1, -0.08, -0.08, -0.1, -0.1, -0.08, 
## -0.06, -0.02, -0.05, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
## -0.03, -0.05, -0.05, -0.03, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 0, -0.05, -0.02, 0, 
## 0.02, 0.05, 0.06, 0.06, 0, -0.06, -0.08, -0.05, -0.05, -0.1, 
## -0.11, -0.13, -0.1, -0.08, -0.06, -0.03, 0.02, -0.03, -0.08, 
## -0.06, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.03, 0.13, 0.14, 0.14, 0.13, 0.14, 
## 0.18, 0.18, 0.19, 0.21, 0.19, 0.16, 0.13, 0.08, 0.08, 0.08, 0.1, 
## 0.11, 0.16, 0.1, 0.13, 0.19, 0.16, 0.13, 0.11, 0.1, 0.1, 0.08, 
## 0.08, 0.08, 0.1, 0.13, 0.16, 0.16, 0.11, 0.11, 0.11, 0.11, 0.13, 
## 0.14, 0.11, 0.13, 0.16, 0.18, 0.22, 0.22, 0.22, 0.19, 0.16, 0.14, 
## 0.11, 0.05, 0.05, 0.05, 0.06, 0.06, 0.08, 0.08, 0.1, 0.11, 0.13, 
## 0.11, 0.11, 0.13, 0.11, 0.13, 0.11, 0.02, 0.06, 0.1, 0.06, 0.1, 
## 0.1, 0.11, 0.11, 0.13, 0.1, 0.1, 0.06, 0.06, 0.06, 0.06, 0.06, 
## 0.06, 0.05, 0.05, 0.05, 0.1, 0.1, 0.1, 0.08, 0.08, 0.16, 0.16, 
## 0.16, 0.14, 0.13, 0.13, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.13, 0.14, 0.16, 0.18, 0.13, 0.13, 0.11, 0.1, 0.06, 0.06, 0.08, 
## 0.11, 0.13, 0.11, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.16, 0.18, 
## 0.16, 0.13, 0.1, 0.11, 0.14, 0.14, 0.14, 0.13, 0.14, 0.08, 0.08, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.11, 0.13, 0.13, 0.11, 0.1, 0.08, 
## 0.1, 0.08, 0.1, 0.08, 0.06, 0.08, 0.08, 0.08, 0.1, 0.11, 0.11, 
## 0.13, 0.13, 0.13, 0.13, 0.14, 0.13, 0.14, 0.16, 0.16, 0.16, 0.14, 
## 0.11, 0.11, 0.11, 0.1, 0.1, 0.05, 0.03, 0.03, 0.05, 0.1, 0.06, 
## 0.06, 0.08, 0.1, 0.1, 0.13, 0.13, 0.11, 0.11, 0.11, 0.1, 0.1, 
## 0.13, 0.1, 0.11, 0.11, 0.13, 0.14, 0.21, 0.22, 0.22, 0.19, 0.16, 
## 0.16, 0.19, 0.19, 0.18, 0.18, 0.16, 0.16, 0.16, 0.06, 0.05, -0.02, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.11, -0.1, -0.02, 0, 0.05, 
## 0.03, 0.05, 0.05, 0.06, 0.05, 0.03, 0.06, 0.13, 0.1, 0.1, 0.11, 
## 0.11, 0.1, 0.11, 0.11, 0.08, 0.1, 0.1, 0.11, 0.13, 0.1, 0.1, 
## 0.1, 0.1, 0.13, 0.16, 0.16, 0.16, 0.16, 0.19, 0.18, 0.16, 0.18, 
## 0.18, 0.19, 0.19, 0.21, 0.14, 0.18, 0.13, 0.13, 0.08, 0.06, -0.02, 
## 0.03, 0.08, 0.13, 0.14, 0.08, 0.06, 0.11, 0.05, 0.03, 0.05, 0.05, 
## 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, -0.03, 0, -0.02, 0.03, 
## 0.05, 0.06, 0.08, 0.08, 0.08, 0.06, 0.05, 0.06, 0.08, 0.11, 0.16, 
## 0.21, 0.21, 0.16, 0.13, 0.21, 0.18, 0.16, 0.11, 0.11, 0.1, 0.11, 
## 0.14, 0.21, 0.21, 0.21, 0.16, 0.14, 0.16, 0.16, 0.18, 0.14, 0.18, 
## 0.14, 0.16, 0.16, 0.1, 0.06, 0.05, 0.06, 0.05, 0.06, 0.08, 0.08, 
## 0.06, 0.08, 0.14, 0.26, 0.22, 0.16, 0.11, 0.08, 0.06, 0.11, 0.13, 
## 0.13, 0.11, 0.08, 0.06, 0.03, 0.05, 0.1, 0.08, 0.1, 0.08, 0.06, 
## 0.06, 0.13, 0.14, 0.14, 0.11, 0.13, 0.1, 0.08, 0.1, 0.1, 0.08, 
## 0.11, 0.1, 0.08, 0.05, 0.02, 0.02, 0.08, 0.13, 0.14, 0.14, 0.13, 
## 0.14, 0.14, 0.14, 0.16, 0.16, 0.16, 0.13, 0.08, 0.06, 0.06, 0.08, 
## 0.08, 0.08, 0.11, 0.13, 0.11, 0.08, 0.1, 0.08, 0.22, 0.26, 0.31, 
## 0.27, 0.22, 0.11, 0.08, 0.1, 0.11, 0.08, 0.13, 0.14, 0.14, 0.11, 
## 0.08, 0.06, 0.05, 0.05, 0.06, 0.08, 0.1, 0.1, 0.16, 0.13, 0.05, 
## 0, 0.02, 0.03, 0.03, 0.1, 0.08, 0.08, 0.06, 0.11, 0.11, 0.13, 
## 0.1, 0.03, 0.11, 0.1, 0.1, 0.1, 0.1, 0.11, 0.16, 0.22, 0.24, 
## 0.18, 0.16, 0.14, 0.13, 0.13, 0.13, 0.16, 0.18, 0.18, 0.19, 0.03, 
## 0.05, 0.03, 0.03, 0.03, 0.02, 0.03, 0.02, 0.02, 0.05, 0.05, 0.06, 
## 0.1, 0.11, 0.13, 0.13, 0.14, 0.1, 0.11, 0.1, 0.11, 0.11, 0.13, 
## 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.11, 0.1, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.11, 0.1, 0.11, 0.13, 0.11, 0.11, 0.06, 0.06, 0.03, 
## 0.19, 0.24, 0.19, 0.14, 0.18, 0.19, 0.19, 0.14, 0.16, 0.18, 0.16, 
## 0.11, 0.08, 0.05, 0.13, 0.11, 0.1, 0.1, 0.11, 0.11, 0.11, 0.03, 
## 0.02, 0.02, 0.1, 0.11, 0.14, 0.14, 0.16, 0.22, 0.22, 0.21, 0.1, 
## 0.11, 0.1, 0.08, 0.11, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 
## 0.13, 0.11, 0.08, 0.06, 0.06, 0.05, 0.03, 0.08, 0.18, 0.19, 0.14, 
## 0.14, 0.16, 0.11, 0.13, 0.13, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 
## 0.1, 0.1, 0.1, 0.11, 0.08, 0.06, 0.08, 0.03, 0.05, 0.02, 0.03, 
## 0.03, 0.05, 0.05, 0.06, 0.06, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
## 0.11, 0.13, 0.11, 0.16, 0.18, 0.18, 0.14, 0.13, 0.14, 0.16, 0.14, 
## 0.16, 0.14, 0.11, 0.1, 0.14, 0.19, 0.18, 0.18, 0.16, 0.16, 0.16, 
## 0.16, 0.16, 0.14, 0.16, 0.18, 0.18, 0.18, 0.18, 0.18, 0.19, 0.22, 
## 0.22, 0.21, 0.22, 0.21, 0.14, 0.11, 0.08, 0.03, 0, -0.05, -0.06, 
## -0.1, -0.08, -0.06, -0.06, -0.05, -0.05, -0.02, -0.03, -0.03, 
## -0.02, 0.02, -0.02, -0.03, -0.02, 0.08, 0.13, 0.21, 0.21, 0.18, 
## 0.14, 0.13, 0.11, 0.13, 0.13, 0.13, 0.11, 0.11, 0.14, 0.13, 0.1, 
## 0.1, 0.1, 0.1, 0.1, 0.1, 0.08, 0.08, 0.08, 0.08, 0.08, 0.05, 
## 0.03, 0.06, 0.08, 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.1, 0.05, 0.05, 0.03, 0.05, 0.03, 0.03, 
## 0.02, 0.03, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, -0.02, 
## -0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 
## 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 
## 0, -0.02, -0.02, -0.02, 0, 0.02, 0, 0, -0.02, 0.02, 0, 0, -0.02, 
## -0.05, -0.02, 0, 0.02, 0.03, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 
## -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, -0.05, -0.03, -0.03, 
## 0, 0.03, 0.05, 0.02, 0, 0, 0, 0, 0.02, 0, -0.02, -0.02, 0, -0.02, 
## 0, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, 
## 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.03, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 0, 0, 0.02, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.02, 0, 0.03, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.03, 
## 0.03, 0.03, 0.03, 0.02, 0, 0, 0, 0, 0.03, 0.02, 0.03, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, -0.02, 
## 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## 0.02, 0.02, 0, 0, 0, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, -0.02, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, -0.14, -0.32, -0.24, -0.27, -0.45, -0.16, -0.1, 0.1, 0.16, 
## 0.11, -0.22, -0.64, -0.16, 0.1, 0.06, -0.06, 0.02, 0.18, 0.27, 
## 0.21, 0.19, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0.02, -0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, -0.02, -0.03, 
## -0.03, 0.05, 0.06, 0.08, 0.06, 0.06, 0.05, 0.03, 0.29, 0.32, 
## 0.34, 0.26, 0.18, 0.19, 0.18, 0, -0.03, -0.06, -0.24, -0.27, 
## -0.29, -0.31, -0.32, -0.39, -0.32, -0.34, -0.31, -0.11, -0.03, 
## 0, -0.03, -0.05, 0.11, 0.18, 0.19, 0.21, 0.21, 0.24, 0.16, 0.11, 
## 0.18, 0.24, 0.56, 0.64, 0.47, 0.31, 0.21, 0.14, 0.16, 0.05, 0, 
## 0, -0.05, -0.1, -0.14, -0.19, -0.22, -0.24, -0.26, -0.26, -0.27, 
## -0.34, -0.42, -0.32, -0.31, -0.24, -0.19, -0.18, -0.13, 0, 0, 
## -0.02, 0.05, 0.02, 0.05, 0.08, 0.11, 0.13, 0.13, 0.16, 0.26, 
## 0.45, 0.51, 0.43, 0.37, 0.29, 0.24, 0.14, 0.13, 0.03, 0.03, 0.02, 
## -0.02, -0.06, -0.13, -0.19, -0.27, -0.37, -0.42, -0.48, -0.42, 
## -0.26, -0.24, -0.19, -0.16, -0.02, 0, 0.02, 0.03, 0.05, 0.06, 
## 0.06, 0.11, 0.13, 0.14, 0.14, 0.14, 0.18, 0.22, 0.29, 0.47, 0.47, 
## 0.42, 0.19, 0.21, 0.11, 0.05, 0.02, -0.13, -0.29, -0.34, -0.4, 
## -0.42, -0.43, -0.42, -0.34, -0.31, -0.21, -0.19, -0.05, 0, 0.1, 
## 0.05, 0.06, 0.03, 0.03, 0.02, 0.03, 0.06, 0.1, 0.11, 0.14, 0.24, 
## 0.47, 0.29, 0.19, 0.1, 0.11, 0.02, -0.05, -0.14, -0.16, -0.21, 
## -0.31, -0.53, -0.51, -0.27, -0.27, -0.24, -0.19, -0.05, 0.02, 
## 0.08, 0.05, 0, 0, 0.05, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.05, 0.08, 0.08, 0.1, 0.24, 0.32, 0.42, 0.51, 0.61, 0.63, 0.48, 
## 0.34, 0.27, 0.24, 0.19, 0.21, 0.16, 0.11, 0.08, 0, -0.03, -0.08, 
## -0.11, -0.16, -0.24, -0.29, -0.39, -0.45, -0.4, -0.37, -0.32, 
## -0.31, -0.32, -0.18, -0.08, -0.03, 0.02, 0.02, 0, 0.02, 0.03, 
## 0.03, 0.02, 0.02, 0.03, 0.11, 0.11, 0.16, 0.24, 0.37, 0.39, 0.45, 
## 0.45, 0.42, 0.37, 0.16, 0.24, 0.18, -0.03, -0.05, -0.11, -0.24, 
## -0.29, -0.32, -0.34, -0.37, -0.37, -0.35, -0.27, -0.21, -0.18, 
## -0.18, -0.14, -0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.06, 
## -0.06, -0.05, -0.02, 0, 0.02, 0.03, 0.05, 0.08, 0.11, 0.18, 0.19, 
## 0.19, 0.21, 0.29, 0.26, 0.21, 0.13, 0.14, 0.06, 0, -0.08, -0.16, 
## -0.22, -0.26, -0.29, -0.31, -0.26, -0.26, -0.21, -0.1, -0.06, 
## -0.06, -0.05, 0, 0.02, 0.02, 0.02, 0.06, -0.16, -0.1, -0.1, -0.1, 
## 0, 0.02, 0.02, 0.03, 0.03, 0.03, 0, 0, -0.02, -0.05, 0, 0, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 
## 0, -0.02, -0.02, -0.02, 0.02, 0.02, -0.02, -0.02, 0, 0, 0, 0.02, 
## 0, 0, 0.02, 0, 0, 0, 0, 0.02, 0, 0.02, 0, 0, -0.02, -0.02, 0, 
## 0.18, 0.19, 0.18, 0.18, 0.19, 0.19, 0.19, 0.19, 0.19, 0.18, 0.14, 
## 0.13, 0.14, 0.11, 0.16, 0.16, 0.14, 0.13, 0.1, 0.1, 0.13, 0.11, 
## 0.08, 0.05, 0.08, 0.14, 0.11, 0.11, 0.1, 0.08, 0.11, 0.14, 0.16, 
## 0.14, 0.14, 0.14, 0.13, 0.08, 0.1, 0.1, 0.08, 0.05, 0.05, 0.03, 
## 0.03, 0.02, 0.02, 0.03, 0.02, 0, -0.03, -0.03, -0.03, -0.03, 
## -0.05, -0.03, -0.02, -0.02, 0, 0.02, 0.03, 0.05, 0.05, 0.06, 
## 0.08, 0.1, 0.13, 0.14, 0.18, 0.18, 0.18, 0.18, 0.19, 0.19, 0.18, 
## 0.18, 0.21, 0.19, 0.16, 0.14, 0.14, 0.14, 0.24, 0.24, 0.21, 0.14, 
## 0.18, 0.18, 0.18, 0.16, 0.13, 0.11, 0.08, 0.08, 0.1, 0.1, 0.1, 
## 0.11, 0.1, 0.1, 0.11, 0.08, 0.08, 0.08, 0.1, 0.11, 0.1, 0.08, 
## 0.08, 0.05, 0.03, 0.03, 0.02, 0, 0, 0.02, 0.02, 0.03, 0.05, 0.05, 
## 0.06, 0.06, 0.08, 0.08, 0.11, 0.14, 0.14, 0.14, 0.16, 0.18, 0.18, 
## 0.18, 0.18, 0.18, 0.18, 0.16, 0.14, 0.14, 0.11, 0.1, 0.14, 0.19, 
## 0.27, 0.26, 0.21, 0.19, 0.18, 0.19, 0.18, 0.1, 0.11, 0.14, 0.13, 
## 0.11, 0.11, 0.1, 0.08, 0.1, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 
## 0.1, 0.1, 0.08, 0.03, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0.03, 0.06, 0.06, 0.08, 0.1, 0.11, 0.11, 0.13, 0.16, 0.18, 
## 0.19, 0.18, 0.19, 0.19, 0.18, 0.13, 0.18, 0.18, 0.16, 0.08, 0.06, 
## 0.11, 0.19, 0.16, 0.13, 0.13, 0.18, 0.21, 0.14, 0.13, 0.13, 0.11, 
## 0.11, 0.11, 0.1, 0.11, 0.08, 0.16, 0.11, 0.13, 0.13, 0.11, 0.1, 
## 0.1, 0.11, 0.13, 0.11, 0.11, 0.11, 0.08, 0.08, 0.08, 0.08, 0.06, 
## 0.05, 0, 0, 0.02, 0.03, 0.02, 0.05, 0.05, 0.19, 0.18, 0.13, 0.18, 
## 0.16, 0.11, 0.13, 0.06, 0.13, 0.1, 0.1, 0.08, 0.05, 0.06, 0.06, 
## 0.08, 0.1, 0.1, 0.08, 0.08, 0.06, 0.06, 0.05, 0.05, 0.03, 0.03, 
## 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.05, 0.05, 0.06, 0.11, 
## 0.16, 0.14, 0.14, 0.16, 0.19, 0.19, 0.19, 0.16, 0.16, 0.18, 0.14, 
## 0.14, 0.14, 0.24, 0.31, 0.24, 0.13, 0.14, 0.14, 0.13, 0.18, 0.19, 
## 0.16, 0.11, 0.16, 0.16, 0.16, 0.14, 0.13, 0.1, 0.06, 0.06, 0.11, 
## 0.11, 0.11, 0.13, 0.1, 0.1, 0.1, 0.06, 0.05, 0.05, 0.05, 0.06, 
## 0.05, 0.05, 0.03, 0.03, 0.02, 0.02, 0.16, 0.16, 0.14, 0.11, 0.11, 
## 0.13, 0.19, 0.14, 0.14, 0.18, 0.14, 0.1, 0.13, 0.14, 0.14, 0.11, 
## 0.11, 0.1, 0.11, 0.08, 0.1, 0.1, 0.1, 0.1, 0.11, 0.1, 0.1, 0.1, 
## 0.06, 0.05, 0.06, 0.06, 0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 
## 0.06, 0.06, 0.08, 0.1, 0.1, 0.11, 0.13, 0.1, 0.1, 0.18, 0.16, 
## 0.16, 0.16, 0.13, 0.13, 0.19, 0.19, 0.13, 0.1, 0.08, 0.1, 0.13, 
## 0.1, 0.18, 0.13, 0.18, 0.22, 0.11, 0.14, 0.14, 0.06, 0.06, 0.1, 
## 0.11, 0.14, 0.11, 0.1, 0.13, 0.14, 0.14, 0.14, 0.11, 0.11, 0.11, 
## 0.11, 0.11, 0.1, 0.1, 0.08, 0.08, 0.08, 0.08, 0.06, 0.06, 0.06, 
## 0.05, 0.16, 0.14, 0.14, 0.14, 0.13, 0.16, 0.14, 0.14, 0.14, 0.16, 
## 0.18, 0.26, 0.24, 0.22, 0.13, 0.19, 0.19, 0.18, 0.16, 0.13, 0.11, 
## 0.11, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 0.05, 
## 0.06, 0.05, 0.06, 0.1, 0.14, 0.13, 0.13, 0.16, 0.03, 0.05, 0.03, 
## 0.02, 0.03, 0.03, 0.03, 0.05, 0.06, 0.08, 0.11, 0.1, 0.11, 0.16, 
## 0.18, 0.18, 0.18, 0.18, 0.16, 0.16, 0.19, 0.19, 0.19, 0.18, 0.16, 
## 0.16, 0.16, 0.08, 0.08, 0.08, 0.08, 0.1, 0.1, 0.1, 0.11, 0.16, 
## 0.19, 0.19, 0.18, 0.18, 0.18, 0.19, 0.21, 0.14, 0.11, 0.1, 0.14, 
## -0.1, -0.06, -0.06, -0.1, -0.11, -0.13, -0.05, -0.02, 0, 0.05, 
## 0.03, 0.02, 0, -0.02, 0, 0.02, -0.02, -0.03, -0.03, -0.05, -0.05, 
## -0.06, -0.05, -0.02, 0.02, 0.02, 0.06, 0.05, 0.03, 0.03, 0.02, 
## 0, -0.13, -0.13, -0.03, 0, 0, -0.02, 0, 0.05, 0.05, 0.05, -0.03, 
## -0.05, -0.08, -0.08, -0.08, -0.1, -0.1, -0.13, -0.14, -0.16, 
## -0.16, -0.16, -0.14, -0.05, -0.03, 0.02, 0.02, -0.06, -0.08, 
## -0.11, 0.02, 0, 0, 0.02, 0.02, 0, -0.02, -0.02, -0.03, -0.03, 
## -0.03, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 0, 0.03, -0.06, 
## -0.08, 0, 0, 0, -0.02, 0.02, 0.03, 0.02, 0.03, -0.02, -0.03, 
## -0.1, -0.1, -0.11, -0.14, -0.14, -0.14, -0.14, -0.13, -0.08, 
## -0.08, -0.06, -0.06, -0.05, -0.03, 0, -0.03, -0.06, 0, -0.02, 
## -0.02, 0.02, 0.02, 0.03, 0, -0.02, -0.05, -0.06, 0.03, 0, -0.03, 
## -0.03, -0.05, -0.05, -0.03, -0.02, -0.03, -0.03, 0, 0.02, 0.02, 
## 0.05, 0.05, -0.08, -0.08, -0.08, -0.08, -0.08, -0.05, 0, 0.02, 
## 0, 0.02, 0, 0.1, 0.11, 0.13, 0.13, 0.14, 0.18, 0.1, 0.06, 0.05, 
## 0, -0.06, -0.05, -0.05, -0.06, -0.06, -0.05, -0.05, -0.05, -0.05, 
## -0.05, -0.03, -0.02, 0.03, 0.03, 0.05, 0.05, 0.05, 0.06, 0.08, 
## 0.08, 0.08, 0.11, 0.1, 0.06, 0.05, 0.06, 0.05, 0, -0.02, -0.05, 
## -0.14, -0.16, -0.11, -0.08, -0.06, -0.11, -0.11, -0.18, -0.06, 
## 0.05, 0.02, 0.03, 0.03, 0.02, 0, 0, -0.03, -0.05, -0.05, -0.02, 
## 0, -0.03, -0.03, -0.03, -0.05, -0.03, -0.05, -0.03, -0.02, -0.02, 
## 0, 0.02, 0, -0.02, -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, 
## -0.02, 0, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, 
## 0.02, 0.03, 0, 0.02, 0, 0.02, 0, 0, 0.02, 0.02, 0.19, 0.19, 0.18, 
## 0.18, 0.13, 0.16, 0.19, 0.18, 0.16, 0.13, 0.11, 0.11, 0.1, 0.1, 
## 0.1, 0.08, 0.05, 0.03, 0.03, 0.03, 0.03, 0, 0, 0, 0, -0.02, -0.02, 
## -0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0.02, 0, 0, 0, 
## 0, 0, 0, 0, -0.02, 0, 0.06, 0.08, 0.11, 0.13, 0.16, 0.19, 0.24, 
## 0.31, 0.26, 0.26, 0.19, 0.16, 0.16, 0.13, 0.1, 0.05, 0, -0.05, 
## -0.11, -0.14, -0.19, -0.26, -0.24, -0.24, -0.29, -0.27, 0.08, 
## 0.1, 0.14, 0.27, 0.31, 0.34, 0.21, 0.1, 0.05, 0.1, 0.11, 0.11, 
## 0.11, 0.06, 0.03, 0.02, -0.02, -0.03, -0.05, -0.11, -0.22, -0.27, 
## -0.24, -0.21, -0.14, -0.14, 0, 0.02, -0.02, 0, -0.02, 0, 0, 0, 
## 0, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 
## 0, 0, 0.02, 0.02, 0.02, 0.05, 0.05, 0.11, 0.13, 0.06, 0.06, 0.1, 
## 0.14, 0.22, 0.22, 0.19, 0, 0, 0, 0, 0.02, 0, 0, -0.05, -0.03, 
## -0.05, -0.05, -0.03, -0.03, -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0.02, 0, 0.02, 0, 0, 0, 0, 0, 
## 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 
## 0, 0.02, 0.02, 0.02, -0.06, -0.08, -0.1, -0.13, -0.1, -0.03, 
## -0.02, 0, 0, 0, 0, 0, 0, 0, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.08, -0.13, -0.19, -0.21, -0.21, -0.21, -0.14, 
## -0.14, -0.08, -0.05, -0.03, -0.05, -0.06, -0.02, 0.03, 0.05, 
## 0.03, 0.03, 0.03, 0.02, 0.02, -0.02, -0.03, 0.06, 0.02, -0.02, 
## -0.05, -0.06, -0.08, -0.11, -0.11, -0.08, -0.1, -0.13, -0.06, 
## 0.02, 0.03, 0, -0.02, 0.02, 0, -0.02, -0.03, -0.05, -0.1, -0.13, 
## -0.16, -0.16, -0.16, -0.16, -0.14, -0.14, -0.14, -0.05, -0.05, 
## -0.06, -0.05, -0.02, 0.06, 0.06, 0.1, 0.1, 0.1, 0.05, 0.03, 0.02, 
## -0.02, -0.03, -0.05, -0.05, -0.02, -0.03, -0.02, -0.06, -0.06, 
## -0.08, -0.08, -0.05, -0.03, -0.03, -0.03, 0, 0.02, 0.02, 0.03, 
## 0.06, 0.06, 0.08, 0.02, 0, -0.06, -0.06, -0.03, -0.03, -0.08, 
## 0.1, 0.06, 0.03, 0.03, 0.05, 0.06, 0.05, 0.05, 0, -0.03, -0.03, 
## -0.02, -0.06, -0.06, -0.06, -0.05, -0.05, -0.02, -0.02, -0.03, 
## -0.05, -0.03, -0.03, -0.03, -0.1, -0.11, -0.11, -0.1, -0.08, 
## -0.05, -0.05, -0.05, -0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 
## 0.03, 0.05, 0.06, 0.08, 0.06, 0.06, 0.03, 0.03, 0.03, 0.05, 0.06, 
## 0.1, -0.02, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, -0.05, 
## -0.05, -0.05, -0.02, -0.02, 0.03, 0.02, 0, 0, 0, 0, 0, 0.02, 
## 0.03, 0.03, 0.02, 0.03, 0.05, 0.08, 0.1, 0.08, 0.06, 0.05, 0.05, 
## 0.03, 0.03, 0.03, 0.02, 0.02, 0, 0.02, 0, -0.02, -0.03, 0.13, 
## 0.21, 0.42, 0.35, 0.06, -0.05, 0.03, 0.11, 0.19, 0.16, 0.14, 
## 0.13, 0.06, 0.06, 0.05, 0.05, 0.06, 0.05, 0.05, 0.02, 0, -0.02, 
## -0.02, 0, -0.02, -0.02), gyros_belt_z = c(-0.02, -0.02, -0.02, 
## -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 0, 
## -0.02, 0, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, 
## -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.03, 0, 0, 0, -0.02, -0.03, -0.02, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.03, -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, -0.02, -0.03, 
## -0.02, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, 0, 0, 0.02, 0, 0, -0.03, -0.05, 
## -0.05, -0.05, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, 
## -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.02, -0.05, -0.03, 
## -0.05, -0.03, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.43, -0.43, 
## -0.46, -0.48, -0.48, -0.46, -0.46, -0.48, -0.48, -0.46, -0.44, 
## -0.46, -0.46, -0.46, -0.46, -0.46, -0.44, -0.44, -0.44, -0.44, 
## -0.44, -0.43, -0.46, -0.44, -0.46, -0.46, -0.48, -0.46, -0.44, 
## -0.44, -0.46, -0.43, -0.43, -0.44, -0.46, -0.46, -0.44, -0.43, 
## -0.44, -0.44, -0.44, -0.44, -0.44, -0.46, -0.44, -0.46, -0.46, 
## -0.44, -0.44, -0.44, -0.44, -0.46, -0.44, -0.44, -0.44, -0.43, 
## -0.44, -0.46, -0.44, -0.44, -0.46, -0.46, -0.46, -0.46, -0.46, 
## -0.43, -0.43, -0.44, -0.46, -0.44, -0.44, -0.44, -0.44, -0.48, 
## -0.46, -0.48, -0.46, -0.46, -0.48, -0.48, -0.48, -0.46, -0.48, 
## -0.48, -0.48, -0.48, -0.48, -0.49, -0.51, -0.52, -0.49, -0.44, 
## -0.41, -0.41, -0.41, -0.43, -0.43, -0.43, -0.43, -0.43, -0.43, 
## -0.44, -0.44, -0.44, -0.46, -0.44, -0.44, -0.44, -0.46, -0.44, 
## -0.44, -0.44, -0.46, -0.46, -0.48, -0.49, -0.49, -0.48, -0.48, 
## -0.48, -0.46, -0.46, -0.46, -0.49, -0.49, -0.49, -0.49, -0.46, 
## -0.44, -0.44, -0.44, -0.44, -0.41, -0.41, -0.41, -0.41, -0.46, 
## -0.48, -0.46, -0.46, -0.48, -0.49, -0.48, -0.48, -0.51, -0.52, 
## -0.51, -0.51, -0.51, -0.51, -0.49, -0.48, -0.44, -0.43, -0.41, 
## -0.41, -0.41, -0.44, -0.43, -0.43, -0.46, -0.43, -0.46, -0.43, 
## -0.43, -0.44, -0.44, -0.43, -0.44, -0.46, -0.46, -0.44, -0.49, 
## -0.48, -0.48, -0.48, -0.49, -0.48, -0.48, -0.46, -0.46, -0.44, 
## -0.46, -0.44, -0.44, -0.43, -0.43, -0.41, -0.41, -0.41, -0.43, 
## -0.43, -0.44, -0.44, -0.44, -0.44, -0.44, -0.46, -0.46, -0.46, 
## -0.44, -0.44, -0.44, -0.46, -0.46, -0.46, -0.48, -0.48, -0.48, 
## -0.49, -0.49, -0.44, -0.43, -0.41, -0.43, -0.44, -0.44, -0.43, 
## -0.43, -0.43, -0.43, -0.41, -0.43, -0.43, -0.44, -0.43, -0.44, 
## -0.44, -0.43, -0.44, -0.46, -0.44, -0.44, -0.46, -0.48, -0.49, 
## -0.49, -0.51, -0.51, -0.51, -0.52, -0.51, -0.49, -0.41, -0.41, 
## -0.39, -0.43, -0.46, -0.44, -0.44, -0.44, -0.44, -0.44, -0.44, 
## -0.43, -0.44, -0.43, -0.43, -0.44, -0.44, -0.48, -0.46, -0.46, 
## -0.49, -0.49, -0.48, -0.46, -0.48, -0.48, -0.46, -0.48, -0.48, 
## -0.46, -0.46, -0.46, -0.44, -0.44, -0.46, -0.48, -0.44, -0.43, 
## -0.44, -0.44, -0.43, -0.43, -0.43, -0.44, -0.44, -0.44, -0.43, 
## -0.43, -0.46, -0.44, -0.43, -0.43, -0.44, -0.43, -0.43, -0.43, 
## -0.44, -0.44, -0.46, -0.51, -0.51, -0.52, -0.51, -0.43, -0.39, 
## -0.39, -0.43, -0.41, -0.41, -0.41, -0.41, -0.41, -0.44, -0.44, 
## -0.43, -0.44, -0.46, -0.48, -0.46, -0.43, -0.43, -0.43, -0.43, 
## -0.44, -0.46, -0.48, -0.46, -0.44, -0.46, -0.44, -0.46, -0.46, 
## -0.44, -0.44, -0.46, -0.46, -0.44, -0.43, -0.41, -0.39, -0.41, 
## -0.41, -0.41, -0.43, -0.41, -0.43, -0.44, -0.43, -0.43, -0.44, 
## -0.46, -0.49, -0.49, -0.49, -0.49, -0.49, -0.46, -0.46, -0.46, 
## -0.46, -0.46, -0.44, -0.46, -0.46, -0.46, -0.46, -0.46, -0.44, 
## -0.44, -0.46, -0.44, -0.43, -0.46, -0.44, -0.46, -0.46, -0.46, 
## -0.46, -0.46, -0.46, -0.48, -0.48, -0.48, -0.48, -0.49, -0.49, 
## -0.49, -0.49, -0.48, -0.48, -0.46, -0.43, -0.43, -0.41, -0.43, 
## -0.41, -0.43, -0.48, -0.48, -0.46, -0.48, -0.49, -0.49, -0.46, 
## -0.46, -0.44, -0.44, -0.48, -0.46, -0.44, -0.44, -0.46, -0.43, 
## -0.41, -0.44, -0.43, -0.44, -0.44, -0.41, -0.43, -0.43, -0.44, 
## -0.43, -0.41, -0.43, -0.44, -0.44, -0.43, -0.43, -0.46, -0.48, 
## -0.49, -0.48, -0.48, -0.46, -0.44, -0.46, -0.44, -0.44, -0.44, 
## -0.44, -0.43, -0.44, -0.44, -0.44, -0.44, -0.44, -0.44, -0.43, 
## -0.43, -0.43, -0.43, -0.43, -0.41, -0.41, -0.41, -0.43, -0.43, 
## -0.43, -0.44, -0.49, -0.48, -0.48, -0.46, -0.46, -0.48, -0.48, 
## -0.46, -0.46, -0.46, -0.48, -0.46, -0.48, -0.46, -0.44, -0.46, 
## -0.44, -0.44, -0.43, -0.43, -0.44, -0.43, -0.43, -0.43, -0.43, 
## -0.43, -0.44, -0.44, -0.46, -0.43, -0.39, -0.39, -0.39, -0.41, 
## -0.39, -0.41, -0.41, -0.39, -0.39, -0.41, -0.43, -0.46, -0.44, 
## -0.43, -0.43, -0.44, -0.46, -0.43, -0.43, -0.44, -0.43, -0.43, 
## -0.44, -0.46, -0.46, -0.46, -0.44, -0.46, -0.44, -0.46, -0.44, 
## -0.46, -0.44, -0.44, -0.44, -0.16, -0.18, -0.13, -0.13, -0.11, 
## -0.08, -0.08, -0.11, -0.08, -0.08, -0.15, -0.16, -0.16, -0.08, 
## -0.16, -0.2, -0.08, -0.05, -0.08, -0.11, -0.11, -0.11, -0.11, 
## -0.11, -0.11, -0.11, -0.11, -0.11, -0.13, -0.13, -0.13, -0.15, 
## -0.15, -0.16, -0.18, -0.18, -0.18, -0.18, -0.2, -0.21, -0.2, 
## -0.23, -0.23, -0.23, -0.21, -0.2, -0.2, -0.2, -0.2, -0.2, -0.2, 
## -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.13, -0.16, -0.15, -0.16, -0.16, -0.2, -0.21, -0.21, -0.2, 
## -0.21, -0.2, -0.21, -0.2, -0.2, -0.18, -0.18, -0.18, -0.16, -0.16, 
## -0.18, -0.18, -0.18, -0.18, -0.16, -0.18, -0.18, -0.18, -0.18, 
## -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.2, -0.18, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, -0.15, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.16, -0.16, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.18, -0.18, -0.18, 
## -0.2, -0.2, -0.21, -0.21, -0.2, -0.18, -0.18, -0.16, -0.18, -0.18, 
## -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, -0.16, -0.13, -0.15, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.2, -0.2, -0.2, -0.2, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.18, 
## -0.18, -0.18, -0.18, -0.16, -0.16, -0.2, -0.18, -0.18, -0.16, 
## -0.16, -0.16, -0.15, -0.13, -0.15, -0.18, -0.18, -0.18, -0.18, 
## -0.2, -0.15, -0.16, -0.15, -0.15, -0.15, -0.2, -0.2, -0.21, -0.2, 
## -0.2, -0.2, -0.25, -0.2, -0.2, -0.21, -0.25, -0.23, -0.2, -0.21, 
## -0.13, -0.16, -0.15, -0.13, -0.16, -0.18, -0.18, -0.16, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.16, -0.16, -0.18, -0.21, -0.18, -0.23, -0.05, 0.03, 
## -0.02, -0.21, -0.23, -0.26, -0.28, -0.3, -0.3, -0.28, -0.31, 
## -0.26, -0.21, -0.18, -0.16, -0.15, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.15, -0.15, -0.13, -0.13, -0.15, 
## -0.15, -0.13, -0.11, -0.16, -0.16, -0.18, -0.18, -0.34, -0.25, 
## -0.25, -0.23, -0.15, -0.07, -0.16, -0.16, -0.18, -0.18, -0.18, 
## -0.18, -0.21, -0.21, -0.23, -0.25, -0.25, -0.25, -0.23, -0.23, 
## -0.23, -0.21, -0.16, -0.15, -0.13, -0.13, -0.15, -0.15, -0.15, 
## -0.16, -0.15, -0.15, -0.13, -0.13, -0.11, -0.1, -0.1, -0.1, -0.11, 
## -0.11, -0.08, -0.08, -0.08, -0.1, -0.13, -0.13, -0.15, -0.15, 
## -0.11, -0.1, -0.08, -0.13, -0.13, -0.15, -0.15, -0.15, -0.16, 
## -0.18, -0.18, -0.2, -0.2, -0.21, -0.21, -0.21, -0.23, -0.21, 
## -0.25, -0.26, -0.25, -0.23, -0.23, -0.25, -0.28, -0.26, -0.26, 
## -0.25, -0.25, -0.23, -0.25, -0.2, -0.2, -0.16, -0.11, -0.08, 
## -0.05, -0.05, -0.03, 0.02, -0.03, -0.1, -0.15, -0.21, -0.25, 
## -0.25, -0.25, -0.25, -0.26, -0.3, -0.3, -0.3, -0.34, -0.38, -0.43, 
## -0.43, -0.43, -0.43, -0.39, -0.39, -0.39, -0.34, -0.31, -0.26, 
## -0.28, -0.26, -0.25, -0.23, -0.16, -0.16, -0.15, -0.13, -0.13, 
## -0.13, -0.16, -0.16, -0.16, -0.16, -0.15, -0.15, -0.15, -0.15, 
## -0.13, -0.11, -0.1, -0.1, -0.11, -0.11, -0.15, -0.16, -0.2, -0.21, 
## -0.21, -0.2, -0.21, -0.21, -0.18, -0.16, -0.16, -0.15, -0.13, 
## -0.13, -0.13, -0.15, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.16, -0.16, -0.18, -0.18, -0.16, -0.18, -0.18, -0.18, 
## -0.18, -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, -0.16, -0.15, 
## -0.16, -0.18, -0.16, -0.18, -0.16, -0.18, -0.18, -0.18, -0.16, 
## -0.15, -0.15, -0.15, -0.13, -0.15, -0.18, -0.2, -0.2, -0.2, -0.21, 
## -0.2, -0.2, -0.2, -0.2, -0.2, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, -0.2, 
## -0.18, -0.18, -0.18, -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.18, -0.18, -0.15, -0.13, -0.13, -0.13, 
## -0.13, -0.13, -0.15, -0.15, -0.16, -0.18, -0.2, -0.2, -0.18, 
## -0.2, -0.2, -0.2, -0.23, -0.21, -0.2, -0.2, -0.2, -0.18, -0.16, 
## -0.15, -0.15, -0.15, -0.16, -0.16, -0.18, -0.16, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.15, -0.15, -0.15, -0.15, -0.15, 
## -0.15, -0.16, -0.15, -0.15, -0.16, -0.16, -0.15, -0.15, -0.15, 
## -0.13, -0.13, -0.13, -0.15, -0.16, -0.18, -0.2, -0.2, -0.21, 
## -0.2, -0.2, -0.2, -0.18, -0.2, -0.2, -0.21, -0.2, -0.16, -0.16, 
## -0.16, -0.15, -0.16, -0.16, -0.16, -0.16, -0.18, -0.16, -0.16, 
## -0.16, -0.16, -0.13, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.2, -0.18, -0.18, -0.16, -0.18, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.18, -0.18, -0.15, -0.15, -0.15, -0.16, -0.16, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.16, -0.15, -0.15, -0.13, -0.11, -0.11, -0.11, -0.16, 
## -0.16, -0.18, -0.2, -0.18, -0.18, -0.2, -0.2, -0.2, -0.21, -0.2, 
## -0.2, -0.2, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, 
## -0.16, -0.15, -0.15, -0.13, -0.11, -0.16, -0.15, -0.16, -0.16, 
## -0.16, -0.16, -0.2, -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.16, -0.15, -0.16, -0.18, -0.18, -0.18, 
## -0.16, -0.15, -0.15, -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.16, -0.15, -0.15, -0.15, -0.15, -0.13, -0.13, -0.13, -0.15, 
## -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, -0.18, -0.16, -0.2, 
## -0.2, -0.21, -0.2, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.16, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, 
## -0.16, -0.15, -0.15, -0.15, -0.15, -0.16, -0.16, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.16, -0.18, -0.16, -0.18, -0.18, -0.16, 
## -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, 
## -0.16, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, -0.15, -0.15, -0.15, 
## -0.15, -0.15, -0.15, -0.16, -0.18, -0.2, -0.18, -0.18, -0.2, 
## -0.2, -0.2, -0.2, -0.2, -0.16, -0.15, -0.16, -0.18, -0.18, -0.2, 
## -0.2, -0.2, -0.2, -0.18, -0.16, -0.16, -0.18, -0.15, -0.16, -0.18, 
## -0.16, -0.18, -0.18, -0.16, -0.18, -0.16, -0.16, -0.15, -0.15, 
## -0.15, -0.16, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.16, 
## -0.2, -0.21, -0.2, -0.21, -0.2, -0.18, -0.18, -0.21, -0.2, -0.2, 
## -0.18, -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.16, -0.15, -0.15, -0.15, -0.13, -0.16, -0.16, -0.15, 
## -0.13, -0.13, -0.15, -0.15, -0.15, -0.16, -0.18, -0.18, -0.2, 
## -0.21, -0.2, -0.18, -0.2, -0.2, -0.2, -0.2, -0.2, -0.23, -0.21, 
## -0.2, -0.18, -0.18, -0.18, -0.2, -0.18, -0.16, -0.18, -0.16, 
## -0.15, -0.15, -0.15, -0.02, -0.02, -0.03, -0.03, -0.07, -0.07, 
## -0.03, -0.02, -0.02, 0, 0.02, 0.03, 0, 0, -0.02, 0, 0, 0, 0.02, 
## 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.03, -0.05, -0.05, -0.03, -0.07, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0.02, 0.02, -0.02, 
## 0, 0, 0, 0, 0, 0.02, 0, 0, -0.02, -0.03, -0.02, -0.02, -0.05, 
## -0.05, -0.05, -0.07, -0.05, -0.05, -0.02, -0.02, 0, 0.02, 0, 
## -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, 0, -0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, 0, -0.03, -0.03, -0.05, -0.05, -0.07, -0.1, -0.08, 
## -0.03, -0.05, -0.03, -0.02, 0, 0.05, 0.07, 0.03, 0.03, 0.03, 
## 0.05, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.07, -0.05, -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, 
## 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0.03, 0.03, 0.02, 0.03, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, -0.02, -0.03, 
## -0.03, -0.05, -0.08, -0.08, -0.07, -0.05, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.02, -0.05, 0.02, 
## 0, -0.02, -0.03, -0.02, -0.03, -0.02, 0, -0.03, -0.03, -0.03, 
## -0.08, -0.07, -0.07, -0.07, -0.08, -0.08, -0.08, -0.07, -0.03, 
## -0.02, 0, 0.02, 0.02, 0.02, 0.02, -0.02, 0, 0, 0.03, 0.03, 0.02, 
## 0.02, 0.03, 0.03, 0.03, 0.02, 0, -0.02, -0.02, -0.05, -0.03, 
## -0.05, -0.05, -0.07, -0.07, -0.07, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.05, -0.03, -0.03, -0.02, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.05, -0.07, -0.07, -0.08, -0.08, -0.08, 
## -0.08, -0.03, 0, 0.03, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, -0.02, -0.02, -0.05, -0.07, 
## -0.07, -0.05, -0.07, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.03, -0.05, -0.03, -0.02, -0.05, -0.05, 
## -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, 0, -0.02, 0, 
## 0, 0, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, -0.02, 
## -0.02, -0.03, -0.07, -0.07, -0.05, -0.07, -0.08, -0.08, -0.08, 
## -0.08, -0.07, -0.05, -0.03, 0.02, 0.03, 0.03, 0.03, 0.02, 0, 
## 0, -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 
## 0, 0, 0, -0.03, -0.07, -0.08, -0.07, -0.07, -0.05, -0.05, -0.03, 
## -0.03, -0.03, -0.05, -0.05, -0.02, -0.03, -0.03, -0.02, 0, 0, 
## 0, 0.02, 0.02, 0.03, 0.02, 0, -0.02, 0, -0.02, -0.03, -0.05, 
## -0.07, -0.07, -0.05, -0.05, -0.07, -0.07, -0.08, -0.07, -0.08, 
## -0.08, -0.08, -0.05, -0.03, -0.02, 0, 0.03, 0, 0.02, 0.02, 0, 
## 0.03, 0.05, 0.05, 0.05, 0.03, 0.03, 0, -0.02, -0.02, -0.03, -0.03, 
## -0.05, -0.07, -0.07, -0.08, -0.08, -0.08, -0.07, -0.07, -0.07, 
## -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.02, -0.03, -0.02, -0.03, -0.02, 0, -0.02, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 0, -0.02, 0, -0.02, 
## -0.02, -0.03, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.02, -0.03, -0.02, -0.02, 0, -0.02, -0.02, 0, 0, -0.02, -0.02, 
## -0.02, 0, 0, 0, 0, 0, 0, 0.03, 0, 0.02, -0.02, 0, 0.03, 0.02, 
## 0, 0, 0, -0.02, -0.03, -0.03, -0.03, -0.03, -0.07, -0.07, -0.05, 
## 0, 0.03, 0.02, -0.02, 0, 0, -0.02, -0.02, 0.02, 0.03, 0.05, 0.05, 
## 0.02, 0, -0.02, 0, 0, 0, 0, -0.03, -0.02, -0.07, -0.07, -0.07, 
## -0.07, -0.07, -0.07, -0.07, -0.05, -0.05, -0.07, -0.07, -0.02, 
## -0.02, -0.02, 0.03, 0.05, 0.05, 0.05, 0.05, 0.02, 0.02, 0, 0, 
## 0, -0.02, -0.07, -0.07, -0.07, -0.05, -0.05, -0.05, -0.08, -0.07, 
## -0.07, -0.08, -0.08, -0.08, -0.07, -0.03, 0.02, 0.03, 0.02, 0, 
## -0.03, -0.03, -0.03, -0.02, -0.02, 0, 0, -0.02, 0, 0, 0, -0.02, 
## 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 
## 0.02, 0, 0, -0.02, -0.02, -0.02, 0.02, 0.02, -0.02, -0.02, -0.02, 
## -0.03, 0.02, 0.02, 0.02, 0.02, 0.02, -0.02, -0.02, 0, 0, 0, 0.02, 
## 0, 0, 0, 0, 0, -0.02, 0, -0.02, -0.02, 0, 0, 0, 0.02, 0, -0.02, 
## -0.02, -0.02, 0, -0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0, -0.02, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0.02, 0, -0.02, 0, 
## 0, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 
## 0, -0.02, -0.03, -0.03, -0.02, -0.02, -0.05, -0.05, -0.07, -0.07, 
## -0.05, -0.03, -0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.02, -0.02, -0.03, -0.02, 0, 0, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, 0.02, 0, 0, -0.02, 0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.03, 0.02, 0.02, 0.02, 0, 0, 
## -0.03, -0.02, 0.02, 0, 0, 0, -0.02, -0.02, 0, 0.02, 0, -0.03, 
## -0.03, -0.02, 0, -0.03, -0.03, -0.02, -0.02, -0.02, 0, 0, 0, 
## 0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, -0.03, -0.03, -0.02, 
## -0.02, -0.02, 0.02, 0.03, 0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, -0.02, 
## -0.02, 0, 0, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, -0.02, 0, 0.03, -0.02, -0.05, 
## 0, 0.03, 0.03, 0.02, 0, 0.02, 0.02, 0, -0.02, -0.05, -0.05, 0, 
## 0.02, 0.03, 0.03, 0.03, 0, -0.05, -0.05, 0.02, 0.03, -0.02, -0.05, 
## -0.05, 0, 0.03, 0.07, 0.08, -0.03, -0.02, 0.02, 0.03, -0.02, 
## -0.05, -0.07, -0.02, 0.03, 0, -0.02, -0.02, 0, 0.02, 0.02, 0, 
## 0, -0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, 0, -0.02, 0, -0.02, -0.02, 0.02, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, -0.02, -0.03, -0.03, -0.05, -0.03, -0.05, -0.03, -0.02, 
## -0.03, -0.05, -0.05, -0.05, -0.02, -0.02, 0, -0.02, -0.03, -0.05, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 0, -0.02, 
## -0.03, -0.03, -0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.03, 0, 0, 
## 0, 0, -0.02, -0.05, -0.03, -0.02, 0, -0.02, -0.03, -0.02, 0, 
## 0, 0.02, 0.02, 0.02, 0, 0, -0.03, -0.03, -0.03, -0.02, -0.02, 
## 0, 0.02, 0.03, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, -0.02, -0.02, 
## 0, 0, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.03, 0, -0.02, -0.02, 0, -0.02, -0.03, -0.02, -0.02, -0.02, 
## -0.03, -0.02, 0, -0.02, -0.03, -0.03, -0.02, -0.02, -0.03, -0.05, 
## -0.03, -0.02, -0.02, 0.02, 0.02, 0.02, -0.02, -0.03, -0.07, -0.07, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 0.02, 0.02, 
## -0.02, -0.03, -0.05, -0.05, -0.02, -0.02, 0, 0, 0, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.05, -0.03, -0.05, 
## -0.05, -0.03, -0.02, 0, -0.02, -0.03, -0.03, -0.02, -0.02, 0, 
## 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.05, -0.05, -0.02, 0, 0, 0.02, 0, -0.02, -0.02, 
## -0.03, -0.05, -0.07, -0.07, -0.03, -0.02, 0, 0.03, 0.02, 0.02, 
## -0.02, -0.07, -0.07, -0.07, -0.05, -0.02, -0.02, 0, 0, 0, 0, 
## -0.02, -0.02, -0.02, -0.05, -0.02, -0.05, -0.05, -0.03, -0.05, 
## -0.07, -0.03, -0.03, -0.07, -0.05, -0.05, -0.05, -0.03, -0.02, 
## 0, -0.03, -0.05, -0.07, -0.05, -0.03, 0, 0, 0, 0, -0.02, 0.02, 
## 0, 0, -0.03, -0.02, -0.02, -0.02, 0.02, 0.03, 0.02, 0, 0.02, 
## 0.02, 0.02, 0.02, 0, 0, 0, -0.03, 0.02, 0.03, 0.02, 0.02, -0.02, 
## 0, -0.02, -0.05, -0.05, -0.03, -0.03, -0.03, -0.02, -0.03, -0.05, 
## -0.05, -0.05, -0.05, -0.02, -0.02, -0.02, -0.03, -0.07, -0.03, 
## -0.07, -0.07, -0.05, -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, 0, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.03, 0, 0, 0, 0, 0.02, 0.02, 
## 0.03, -0.07, -0.07, -0.03, 0, 0, -0.02, -0.03, -0.03, -0.02, 
## -0.02, -0.02, -0.03, -0.05, -0.03, -0.05, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, 
## -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, 
## 0, 0, 0.02, 0, 0, 0, 0, -0.03, -0.05, -0.05, -0.07, -0.02, 0, 
## 0, 0.02, -0.03, -0.05, -0.03, -0.02, -0.02, -0.03, -0.02, 0, 
## 0, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.05, -0.03, -0.03, 
## -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.05, -0.05, 
## -0.03, -0.03, -0.05, -0.03, 0, 0, 0.02, 0.03, 0.02, 0.03, 0.03, 
## 0.02, 0.02, 0, 0, -0.03, -0.03, -0.03, -0.03, -0.05, -0.02, 0, 
## 0.02, 0.03, 0, 0, 0, -0.02, -0.05, -0.03, -0.02, 0.02, -0.05, 
## -0.05, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 0.02, -0.02, 
## 0.02, -0.02, 0, 0.02, 0.03, 0.03, 0, 0, -0.05, -0.05, 0.03, 0.07, 
## 0.05, 0, -0.02, -0.07, -0.07, -0.05, -0.03, -0.02, -0.02, -0.03, 
## 0, -0.02, -0.03, -0.05, -0.03, -0.05, -0.05, -0.03, -0.05, -0.05, 
## -0.05, -0.05, -0.07, -0.07, -0.07, -0.07, -0.07, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, -0.02, 0, 0, 
## 0, 0.02, 0.03, 0.03, 0, 0.02, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 
## 0, 0.03, 0, 0.02, 0, -0.02, -0.05, -0.05, -0.03, -0.02, -0.02, 
## 0, 0.02, -0.02, -0.03, -0.02, 0.02, -0.02, -0.03, -0.05, -0.02, 
## -0.03, -0.05, -0.05, -0.03, 0, -0.02, -0.02, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.05, -0.02, -0.07, -0.07, -0.07, 
## -0.07, -0.07, -0.07, -0.05, -0.07, -0.07, -0.07, -0.05, -0.07, 
## -0.05, -0.03, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 0.02, 
## 0, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, -0.03, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## 0, -0.02, 0, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.02, 0, 0, 0.02, 0, 0, -0.02, -0.02, 0, 0.02, 0, 0, 
## 0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, -0.02, -0.02, 0, -0.02, -0.02, 0, 0, 0, -0.02, -0.02, 
## -0.02, 0, 0, -0.02, -0.02, 0, 0, 0, 0, -0.02, 0, -0.02, -0.02, 
## 0, -0.02, 0, 0, 0, -0.02, 0.02, 0, 0, 0, 0, 0.02, -0.02, 0, 0, 
## 0.02, 0, 0, 0, -0.03, -0.03, -0.02, 0, 0, 0.02, 0.02, 0, -0.02, 
## -0.02, 0.02, 0.02, 0, 0, 0, 0, -0.03, -0.02, 0, -0.03, 0, 0, 
## 0, -0.02, 0, 0, 0, 0, 0, 0, 0, -0.03, -0.05, -0.05, -0.03, 0.02, 
## 0, -0.02, 0.02, 0, -0.02, 0, 0, 0, 0, 0.02, -0.02, -0.02, 0, 
## 0, 0, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, -0.02, 0.03, 0.03, 0.05, 
## -0.02, 0, -0.02, -0.03, -0.08, -0.13, -0.11, -0.03, 0, 0.03, 
## 0.03, -0.02, 0.02, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0.02, 
## 0, 0.02, 0, 0.02, 0.03, -0.02, 0, 0.03, 0.05, 0.05, 0.03, 0.07, 
## 0.08, 0.08, 0.05, 0.03, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 
## -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 0.02, 
## 0.02, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 
## 0, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, 0.02, 0.03, 0.05, 0, 0, 
## 0.02, 0.02, 0, -0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0.03, 
## 0, 0, 0, 0, 0, 0, 0.03, 0.02, 0.02, 0, -0.02, 0, 0, 0.02, -0.02, 
## -0.02, -0.02, 0.02, 0, 0, 0.02, 0.05, 0, 0, 0.03, 0.02, 0, 0, 
## 0.02, 0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
## 0, -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.03, -0.02, -0.05, -0.05, -0.07, -0.07, -0.02, 0.02, 0, 0.02, 
## 0.03, 0.03, 0, -0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, 0.02, 
## 0, -0.02, 0, 0, 0, 0.02, -0.02, -0.02, -0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, 0.02, 0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.05, 0, -0.02, -0.03, -0.03, 0, 0.02, -0.07, 0.02, 0, -0.02, 
## 0, 0.02, 0.03, 0.03, 0.02, 0.03, 0.03, 0.02, 0.02, 0.03, 0.02, 
## 0.02, 0, 0, 0, 0, 0.02, -0.02, -0.02, 0, 0, 0, 0, 0.03, 0, 0, 
## 0.02, -0.02, -0.02, 0, 0.02, -0.02, -0.02, 0.02, 0, 0, 0, -0.03, 
## -0.05, -0.08, -0.07, -0.05, -0.11, -0.11, 0, -0.02, -0.02, -0.02, 
## -0.05, 0.03, 0, 0, 0.03, 0.05, 0.05, 0.05, 0.02, 0.03, 0.03, 
## 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.03, 0.05, 0.07, 0.02, 
## 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.03, -0.02, -0.05, -0.05, -0.05, 
## -0.07, -0.03, 0, 0, -0.02, -0.03, -0.05, -0.03, 0.02, 0.03, 0.02, 
## 0, 0, 0, 0, 0.03, 0.02, 0.02, 0, 0.05, 0, -0.02, 0, 0, 0, 0, 
## -0.03, -0.05, 0.02, 0, 0, 0.03, 0.05, 0.02, -0.02, 0, 0.02, 0, 
## 0.02, 0, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.03, -0.05, -0.03, -0.02, -0.05, -0.03, 0, 0.02, 0.02, 0.05, 
## 0.05, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0, -0.02, 0, -0.02, -0.05, 
## -0.02, -0.02, -0.02, 0, 0.02, 0, 0, 0, 0.02, 0.02, 0, 0, 0, 0, 
## 0.02, -0.02, -0.03, -0.02, -0.03, -0.03, -0.07, -0.03, -0.03, 
## -0.05, -0.05, -0.07, -0.1, -0.08, -0.03, -0.05, -0.03, -0.02, 
## -0.03, 0.02, 0.02, 0.03, 0.03, 0.03, 0.05, 0.07, 0.03, 0.02, 
## 0.03, 0.03, 0.02, 0, -0.03, -0.03, -0.02, -0.03, -0.02, 0, 0.02, 
## 0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, -0.02, 0, -0.02, -0.07, -0.05, 
## -0.05, -0.07, -0.08, -0.1, -0.1, -0.1, -0.08, -0.07, -0.08, -0.08, 
## -0.08, -0.05, -0.05, -0.03, -0.02, -0.02, -0.02, 0, 0.03, 0.05, 
## 0.03, 0.05, 0.05, 0.03, 0.07, 0.05, 0.05, 0.07, 0.07, 0.02, 0.02, 
## 0.02, 0.02, 0.02, 0, 0, 0, -0.02, -0.02, -0.03, -0.02, -0.03, 
## 0, 0, 0, 0.02, 0.03, 0.05, 0.03, 0.03, 0.02, 0.02, 0.02, 0.05, 
## 0.02, 0, 0.02, 0.02, 0, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 
## -0.03, -0.03, -0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 
## 0.02, 0.02, 0.02, 0, 0.03, 0.03, 0, 0.02, 0.03, 0.02, 0, -0.02, 
## 0.02, 0, 0.02, 0.02, 0, 0, 0, -0.05, -0.02, -0.03, -0.05, -0.05, 
## -0.03, -0.05, -0.03, -0.05, -0.13, -0.11, -0.08, -0.05, -0.03, 
## -0.02, -0.02, 0, 0.02, 0.05, 0.08, 0.1, 0.08, 0.07, 0.05, 0.05, 
## 0.03, 0.03, 0.03, 0, -0.02, -0.02, -0.05, -0.05, -0.05, -0.02, 
## 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0.02, 
## 0, 0.02, 0.02, 0, 0.02, 0.02, 0, 0.02, 0, -0.02, -0.02, -0.02, 
## -0.05, -0.05, -0.05, -0.03, -0.02, 0.02, -0.02, 0, 0.02, 0, 0.02, 
## 0.02, 0, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.03, 0.03, -0.02, 
## 0, 0, -0.02, -0.03, 0, -0.02, -0.02, -0.03, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, 0, 0, 
## 0, 0, -0.02, 0, 0, 0, 0, -0.02, -0.02, 0.02, 0.02, 0, -0.03, 
## -0.03, -0.03, 0.05, 0.03, 0.03, 0.03, 0.02, 0, 0.02, 0, 0, 0, 
## 0, 0, 0, -0.02, 0, -0.02, 0, -0.03, -0.05, -0.03, -0.03, -0.03, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.07, 
## -0.05, -0.05, -0.03, -0.03, -0.02, -0.02, -0.02, 0.02, 0, 0, 
## -0.02, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, -0.2, -0.2, -0.2, -0.16, 
## -0.16, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, 
## -0.16, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.16, -0.16, 
## -0.16, -0.16, -0.15, -0.16, -0.15, -0.16, -0.16, -0.16, -0.18, 
## -0.16, -0.18, -0.18, -0.18, -0.18, -0.2, -0.21, -0.16, -0.15, 
## -0.15, -0.15, -0.15, -0.15, -0.18, -0.18, -0.16, -0.16, -0.15, 
## -0.15, -0.16, -0.2, -0.2, -0.21, -0.2, -0.2, -0.2, -0.18, -0.2, 
## -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, -0.16, -0.18, -0.2, -0.18, 
## -0.16, -0.18, -0.16, -0.16, -0.18, -0.18, -0.2, -0.18, -0.16, 
## -0.15, -0.18, -0.2, -0.2, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.15, -0.15, -0.16, -0.18, -0.16, -0.16, -0.15, -0.15, -0.15, 
## -0.16, -0.16, -0.16, -0.18, -0.23, -0.21, -0.2, -0.16, -0.15, 
## -0.13, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, -0.15, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, -0.16, 
## -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.18, 
## -0.18, -0.2, -0.21, -0.21, -0.21, -0.18, -0.2, -0.18, -0.2, -0.18, 
## -0.18, -0.15, -0.16, -0.16, -0.16, -0.16, -0.18, -0.13, -0.16, 
## -0.2, -0.2, -0.2, -0.18, -0.18, -0.16, -0.16, -0.15, -0.15, -0.16, 
## -0.15, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, -0.15, -0.15, -0.15, 
## -0.05, -0.23, -0.21, -0.05, -0.03, -0.03, -0.07, -0.05, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.34, -0.46, -0.51, -0.43, -0.16, 
## -0.08, -0.1, -0.15, -0.18, -0.18, -0.13, -0.13, -0.15, -0.16, 
## -0.15, -0.16, -0.16, -0.15, -0.16, -0.18, -0.18, -0.16, -0.16, 
## -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.21, -0.23, -0.21, -0.18, -0.18, -0.13, -0.11, 
## -0.1, -0.07, 0.03, -0.05, -0.03, -0.13, -0.18, -0.34, -0.36, 
## -0.36, -0.36, -0.38, -0.36, -0.38, -0.36, -0.31, -0.25, -0.23, 
## -0.18, -0.16, -0.16, -0.13, -0.13, -0.13, -0.11, -0.11, -0.1, 
## -0.1, -0.11, -0.15, -0.2, -0.26, -0.23, -0.13, -0.13, -0.13, 
## -0.13, -0.13, -0.11, -0.16, -0.2, -0.2, -0.2, -0.21, -0.23, -0.21, 
## -0.21, -0.2, -0.21, -0.21, -0.21, -0.21, -0.23, -0.23, -0.25, 
## -0.21, -0.18, -0.16, -0.2, -0.15, -0.2, -0.18, -0.18, -0.16, 
## -0.11, -0.16, -0.15, -0.1, -0.15, -0.15, -0.15, -0.18, -0.18, 
## -0.16, -0.15, -0.16, -0.23, -0.25, -0.23, -0.21, -0.23, -0.23, 
## -0.23, -0.21, -0.16, -0.13, -0.13, -0.13, -0.15, -0.16, -0.15, 
## -0.13, -0.13, -0.13, -0.15, -0.13, -0.13, -0.15, -0.16, -0.15, 
## -0.16, -0.15, -0.16, -0.13, -0.11, -0.11, -0.11, -0.1, -0.11, 
## -0.15, -0.13, -0.15, -0.16, -0.15, -0.15, -0.16, -0.16, -0.18, 
## -0.16, -0.15, -0.18, -0.2, -0.2, -0.2, -0.21, -0.23, -0.21, -0.23, 
## -0.18, -0.16, -0.18, -0.18, -0.2, -0.21, -0.2, -0.16, -0.15, 
## -0.11, -0.11, -0.1, -0.11, -0.11, -0.11, -0.15, -0.13, -0.13, 
## -0.18, -0.16, -0.16, -0.25, -0.23, -0.16, -0.18, -0.16, -0.16, 
## -0.18, -0.25, -0.26, -0.23, -0.23, -0.1, -0.08, -0.1, -0.11, 
## -0.13, -0.15, -0.15, -0.15, -0.15, -0.16, -0.13, -0.15, -0.16, 
## -0.16, -0.2, -0.16, -0.15, -0.16, -0.21, -0.21, -0.21, -0.21, 
## -0.21, -0.21, -0.23, -0.23, -0.23, -0.25, -0.23, -0.26, -0.28, 
## -0.21, -0.21, -0.21, -0.18, -0.2, -0.23, -0.21, -0.2, -0.16, 
## -0.1, -0.13, -0.11, -0.15, -0.15, -0.15, -0.15, -0.16, -0.15, 
## -0.13, -0.15, -0.18, -0.16, -0.1, -0.13, -0.13, -0.15, -0.15, 
## -0.15, -0.18, -0.18, -0.13, -0.1, -0.1, -0.1, -0.18, -0.2, -0.21, 
## -0.25, -0.18, -0.18, -0.2, -0.23, -0.21, -0.25, -0.21, -0.21, 
## -0.2, -0.21, -0.2, -0.18, -0.2, -0.18, -0.18, -0.18, -0.2, -0.18, 
## -0.2, -0.18, -0.15, -0.05, -0.07, -0.13, -0.15, -0.15, -0.18, 
## -0.16, -0.16, -0.13, -0.15, -0.16, -0.16, -0.18, -0.18, -0.18, 
## -0.18, -0.16, -0.16, -0.18, -0.2, -0.18, -0.16, -0.16, -0.18, 
## -0.21, -0.18, -0.21, -0.18, -0.18, -0.21, -0.2, -0.2, -0.18, 
## -0.16, -0.16, -0.18, -0.18, -0.15, -0.11, -0.11, -0.1, -0.13, 
## -0.16, -0.13, -0.13, -0.15, -0.16, -0.16, -0.2, -0.23, -0.18, 
## -0.2, -0.23, -0.18, -0.2, -0.16, -0.16, -0.16, -0.21, -0.21, 
## -0.18, -0.2, -0.18, -0.15, -0.16, -0.16, -0.16, -0.15, -0.13, 
## -0.15, -0.13, -0.15, -0.15, -0.13, -0.11, -0.15, -0.15, -0.13, 
## -0.15, -0.16, -0.15, -0.15, -0.15, -0.15, -0.15, -0.13, -0.13, 
## -0.11, -0.11, -0.11, -0.11, -0.1, -0.05, -0.07, -0.15, -0.18, 
## -0.18, -0.18, -0.16, -0.13, -0.2, -0.21, -0.21, -0.21, -0.16, 
## -0.15, -0.18, -0.18, -0.2, -0.2, -0.2, -0.2, -0.2, -0.2, -0.18, 
## -0.16, -0.15, -0.13, -0.15, -0.15, -0.13, -0.16, -0.16, -0.2, 
## -0.2, -0.15, -0.13, -0.13, -0.16, -0.18, -0.23, -0.2, -0.16, 
## -0.13, -0.1, -0.08, -0.11, -0.1, -0.08, -0.08, -0.08, -0.15, 
## -0.15, -0.2, -0.2, -0.2, -0.21, -0.21, -0.23, -0.23, -0.23, -0.2, 
## -0.2, -0.2, -0.18, -0.18, -0.16, -0.16, -0.21, -0.2, -0.16, -0.16, 
## -0.16, -0.18, -0.18, -0.15, -0.11, -0.16, -0.16, -0.18, -0.15, 
## -0.13, -0.11, -0.13, -0.13, -0.13, -0.13, -0.15, -0.18, -0.18, 
## -0.26, -0.23, -0.28, -0.23, -0.18, -0.18, -0.18, -0.16, -0.18, 
## -0.23, -0.2, -0.18, -0.2, -0.15, -0.13, -0.23, -0.23, -0.18, 
## -0.16, -0.05, -0.07, -0.1, -0.15, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.23, -0.2, -0.2, -0.2, -0.18, -0.2, -0.21, -0.23, -0.26, 
## -0.26, -0.25, -0.21, -0.11, -0.1, -0.08, -0.1, -0.11, -0.16, 
## -0.15, -0.13, -0.11, -0.13, -0.15, -0.16, -0.18, -0.28, -0.3, 
## -0.28, -0.28, -0.26, -0.21, -0.21, -0.18, -0.16, -0.16, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.18, -0.23, -0.2, -0.18, -0.21, 
## -0.21, -0.21, -0.2, -0.16, -0.21, -0.2, -0.18, -0.18, -0.16, 
## -0.13, -0.11, -0.13, -0.1, -0.08, -0.11, -0.11, -0.13, -0.2, 
## -0.15, -0.15, -0.16, -0.15, -0.11, -0.11, -0.08, -0.08, -0.08, 
## -0.1, -0.13, -0.15, -0.15, -0.13, -0.23, -0.11, -0.13, -0.13, 
## -0.13, -0.13, -0.13, -0.15, -0.15, -0.15, -0.16, -0.16, -0.15, 
## -0.15, -0.16, -0.18, -0.18, -0.21, -0.26, -0.21, -0.23, -0.13, 
## -0.2, -0.15, -0.13, -0.15, -0.18, -0.21, -0.2, -0.11, -0.2, -0.21, 
## -0.15, -0.18, -0.11, -0.11, -0.16, -0.16, -0.15, -0.16, -0.18, 
## -0.18, -0.2, -0.21, -0.2, -0.18, -0.16, -0.16, -0.18, -0.16, 
## -0.15, -0.16, -0.11, -0.13, -0.13, -0.1, -0.11, -0.13, -0.1, 
## -0.1, -0.13, -0.13, -0.16, -0.18, -0.18, -0.23, -0.23, -0.16, 
## -0.21, -0.18, -0.18, -0.18, -0.18, -0.13, -0.15, -0.16, -0.16, 
## -0.16, -0.18, -0.18, -0.18, -0.16, -0.18, -0.21, -0.21, -0.23, 
## -0.16, -0.18, -0.2, -0.2, -0.18, -0.16, -0.18, -0.18, -0.2, -0.18, 
## -0.2, -0.2, -0.21, -0.18, -0.18, -0.21, -0.23, -0.2, -0.23, -0.23, 
## -0.23, -0.23, -0.21, -0.18, -0.2, -0.21, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.2, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.15, -0.15, -0.15, -0.15, -0.15, -0.16, -0.15, 
## -0.15, -0.13, -0.13, -0.15, -0.15, -0.15, -0.16, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, 
## -0.21, -0.18, -0.16, -0.15, -0.13, -0.13, -0.15, -0.16, -0.18, 
## -0.16, -0.16, -0.16, -0.18, -0.18, -0.21, -0.21, -0.2, -0.18, 
## -0.16, -0.16, -0.16, -0.15, -0.15, -0.18, -0.18, -0.15, -0.15, 
## -0.15, -0.13, -0.13, -0.13, -0.15, -0.15, -0.16, -0.18, -0.2, 
## -0.18, -0.16, -0.18, -0.16, -0.16, -0.13, -0.11, -0.11, -0.11, 
## -0.11, -0.1, -0.11, -0.13, -0.13, -0.13, -0.13, -0.15, -0.15, 
## -0.15, -0.15, -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.2, -0.21, -0.2, -0.2, -0.16, -0.15, -0.15, -0.13, -0.15, 
## -0.15, -0.16, -0.16, -0.16, -0.2, -0.2, -0.21, -0.2, -0.2, -0.16, 
## -0.18, -0.15, -0.1, -0.11, -0.15, -0.16, -0.15, -0.16, -0.15, 
## -0.13, -0.15, -0.16, -0.15, -0.16, -0.16, -0.16, -0.16, -0.15, 
## -0.15, -0.15, -0.13, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, 
## -0.2, -0.18, -0.2, -0.18, -0.2, -0.18, -0.2, -0.2, -0.18, -0.16, 
## -0.18, -0.2, -0.18, -0.15, -0.15, -0.18, -0.16, -0.2, -0.21, 
## -0.2, -0.15, -0.15, -0.16, -0.16, -0.16, -0.18, -0.15, -0.16, 
## -0.18, -0.16, -0.21, -0.23, -0.2, -0.23, -0.21, -0.2, -0.18, 
## -0.15, -0.16, -0.13, -0.13, -0.15, -0.11, -0.2, -0.21, -0.23, 
## -0.21, -0.2, -0.18, -0.18, -0.15, -0.16, -0.15, -0.13, -0.1, 
## -0.08, -0.07, -0.13, -0.15, -0.13, -0.13, -0.18, -0.2, -0.21, 
## -0.18, -0.2, -0.2, -0.18, -0.2, -0.18, -0.18, -0.16, -0.15, -0.13, 
## -0.15, -0.16, -0.16, -0.15, -0.16, -0.15, -0.15, -0.15, -0.1, 
## -0.11, -0.11, -0.21, -0.26, -0.23, -0.21, -0.2, -0.2, -0.31, 
## -0.44, -0.39, -0.38, -0.48, -0.26, -0.21, -0.18, 0, 0, 0, 0, 
## 0, -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, 
## -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.03, 
## 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0.02, -0.02, -0.02, 
## -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.03, -0.02, -0.02, 
## -0.02, 0.03, -0.05, -0.03, -0.05, -0.05, -0.05, -0.03, -0.02, 
## -0.03, -0.02, 0, -0.02, 0, -0.03, -0.05, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.03, 0.05, 0.03, 0.02, 0.02, 0, 0, 0.02, 0, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.07, -0.07, -0.05, -0.05, -0.05, 
## 0, -0.02, 0, 0, 0, 0, 0, 0.02, -0.02, 0, 0, 0, 0, 0, -0.02, -0.02, 
## -0.02, -0.03, -0.07, -0.07, -0.05, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, -0.02, -0.02, 0, 0, 0, 0, 
## -0.07, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, 
## -0.05, -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.03, 
## -0.03, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, -0.02, 
## -0.03, -0.08, -0.1, -0.08, -0.07, -0.05, -0.03, -0.05, -0.05, 
## 0, 0.02, 0.02, 0, -0.02, -0.02, -0.02, 0, 0, -0.02, 0, 0, -0.02, 
## 0, -0.02, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, -0.07, 
## -0.08, -0.07, -0.07, -0.03, -0.02, 0.05, 0.05, 0.02, 0.02, 0.02, 
## 0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, 0, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.49, -0.51, -0.52, -0.49, -0.48, -0.43, -0.41, -0.41, -0.41, 
## -0.41, -0.43, -0.43, -0.46, -0.49, -0.46, -0.46, -0.46, -0.48, 
## -0.46, -0.41, -0.43, -0.43, -0.43, -0.44, -0.44, -0.43, -0.41, 
## -0.41, -0.48, -0.48, -0.49, -0.49, -0.51, -0.52, -0.51, -0.49, 
## -0.46, -0.44, -0.43, -0.41, -0.44, -0.43, -0.46, -0.46, -0.49, 
## -0.51, -0.49, -0.46, -0.44, -0.41, -0.41, -0.43, -0.41, -0.43, 
## -0.41, -0.43, -0.43, -0.43, -0.44, -0.44, -0.44, -0.48, -0.44, 
## -0.44, -0.41, -0.43, -0.41, -0.41, -0.41, -0.41, -0.43, -0.43, 
## -0.46, -0.46, -0.48, -0.48, -0.49, -0.51, -0.51, -0.46, -0.44, 
## -0.41, -0.43, -0.43, -0.41, -0.44, -0.46, -0.44, -0.46, -0.46, 
## -0.44, -0.44, -0.44, -0.44, -0.44, -0.46, -0.46, -0.46, -0.46, 
## -0.44, -0.44, -0.44, -0.43, -0.43, -0.43, -0.43, -0.46, -0.46, 
## -0.46, -0.43, -0.43, -0.43, 0, 0, -0.03, -0.05, -0.07, -0.03, 
## -0.05, -0.07, -0.1, -0.05, -0.05, -0.05, -0.03, -0.03, -0.05, 
## -0.05, -0.05, -0.05, -0.05, -0.03, -0.02, -0.03, -0.02, 0, 0.02, 
## 0.02, 0.03, 0.03, 0.02, -0.02, 0, -0.44, -0.46, -0.44, -0.43, 
## -0.44, -0.43, -0.44, -0.44, -0.43, -0.43, -0.46, -0.44, -0.46, 
## -0.48, -0.49, -0.49, -0.48, -0.49, -0.52, -0.52, -0.49, -0.51, 
## -0.51, -0.43, -0.38, -0.38, -0.39, -0.44, -0.46, -0.44, -0.46, 
## -0.44, -0.41, -0.43, -0.46, -0.48, -0.48, -0.49, -0.51, -0.48, 
## -0.48, -0.49, -0.51, -0.51, -0.51, -0.49, -0.49, -0.49, -0.49, 
## -0.46, -0.43, -0.41, -0.43, -0.39, -0.43, -0.41, -0.41, -0.43, 
## -0.44, -0.43, -0.46, -0.44, -0.44, -0.46, -0.49, -0.48, -0.46, 
## -0.48, -0.48, -0.51, -0.51, -0.51, -0.51, -0.44, -0.41, -0.38, 
## -0.41, -0.44, -0.43, -0.44, -0.44, -0.44, -0.44, -0.43, -0.43, 
## -0.41, -0.43, -0.43, -0.41, -0.41, -0.41, -0.41, -0.43, -0.43, 
## -0.43, -0.41, -0.43, -0.43, -0.43, -0.43, -0.43, -0.43, -0.43, 
## -0.44, -0.46, -0.46, -0.48, -0.48, -0.51, -0.54, -0.52, -0.44, 
## -0.38, -0.36, -0.38, -0.38, -0.39, -0.41, -0.43, -0.41, -0.41, 
## -0.41, -0.43, -0.41, -0.41, -0.43, -0.44, -0.46, -0.48, -0.48, 
## -0.44, -0.51, -0.54, -0.56, -0.56, -0.52, -0.54, -0.56, -0.52, 
## -0.46, -0.41, -0.43, -0.41, -0.41, -0.41, -0.43, -0.39, -0.39, 
## -0.39, -0.41, -0.41, -0.43, -0.44, -0.44, -0.44, -0.49, -0.51, 
## -0.51, -0.51, -0.52, -0.49, -0.44, -0.43, -0.41, -0.39, -0.41, 
## -0.41, -0.41, -0.39, -0.36, -0.36, -0.41, -0.52, -0.54, -0.57, 
## -0.59, -0.59, -0.57, -0.56, -0.49, -0.51, -0.49, -0.44, -0.43, 
## -0.43, -0.41, -0.41, -0.39, -0.41, -0.41, -0.39, -0.43, -0.43, 
## -0.41, -0.41, -0.41, -0.43, -0.43, -0.43, -0.41, -0.41, -0.39, 
## -0.41, -0.43, -0.46, -0.48, -0.51, -0.48, -0.48, -0.46, -0.43, 
## -0.41, -0.41, -0.41, -0.41, -0.41, -0.41, -0.39, -0.41, -0.44, 
## -0.46, -0.51, -0.54, -0.54, -0.56, -0.54, -0.48, -0.49, -0.49, 
## -0.49, -0.54, -0.57, -0.54, -0.51, -0.48, -0.46, -0.44, -0.43, 
## -0.43, -0.43, -0.41, -0.43, -0.43, -0.41, -0.43, -0.43, -0.39, 
## -0.39, -0.43, -0.44, -0.43, -0.41, -0.48, -0.48, -0.54, -0.52, 
## -0.56, -0.52, -0.46, -0.46, -0.48, -0.48, -0.48, -0.46, -0.43, 
## -0.44, -0.43, -0.43, -0.41, -0.43, -0.43, -0.41, -0.41, -0.41, 
## -0.38, -0.41, -0.41, -0.43, -0.46, -0.46, -0.49, -0.51, -0.51, 
## -0.48, -0.41, -0.38, -0.39, -0.41, -0.43, -0.44, -0.44, -0.44, 
## -0.43, -0.41, -0.38, -0.36, -0.39, -0.41, -0.44, -0.44, -0.49, 
## -0.46, -0.49, -0.51, -0.51, -0.52, -0.54, -0.49, -0.49, -0.48, 
## -0.48, -0.46, -0.49, -0.48, -0.49, -0.48, -0.43, -0.43, -0.44, 
## -0.44, -0.46, -0.44, -0.44, -0.41, -0.41, -0.43, -0.38, -0.38, 
## -0.39, -0.46, -0.48, -0.51, -0.52, -0.51, -0.54, -0.56, -0.54, 
## -0.54, -0.39, -0.39, -0.39, -0.39, -0.38, -0.38, -0.36, -0.34, 
## -0.38, -0.43, -0.44, -0.51, -0.51, -0.51, -0.48, -0.44, -0.46, 
## -0.54, -0.54, -0.51, -0.41, -0.43, -0.46, -0.46, -0.46, -0.44, 
## -0.38, -0.38, -0.34, -0.34, -0.41, -0.44, -0.49, -0.49, -0.51, 
## -0.52, -0.56, -0.54, -0.56, -0.56, -0.52, -0.51, -0.57, -0.51, 
## -0.46, -0.46, -0.48, -0.46, -0.41, -0.41, -0.41, -0.38, -0.38, 
## -0.38, -0.38, -0.38, -0.34, -0.36, -0.38, -0.39, -0.39, -0.39, 
## -0.39, -0.41, -0.44, -0.46, -0.54, -0.52, -0.46, -0.44, -0.39, 
## -0.41, -0.38, -0.38, -0.36, -0.34, -0.34, -0.38, -0.43, -0.43, 
## -0.44, -0.46, -0.54, -0.56, -0.56, -0.54, -0.52, -0.54, -0.52, 
## -0.52, -0.49, -0.51, -0.49, -0.44, -0.43, -0.39, -0.39, -0.38, 
## -0.39, -0.38, -0.38, -0.38, -0.38, -0.02, -0.03, 0, 0.03, 0.02, 
## 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.02, -0.07, 
## 0, 0.03, 0.05, 0.05, 0.03, 0.02, -0.02, -0.02, 0.02, 0.05, 0.05, 
## 0.05, 0.05, 0.05, 0.02, 0.03, 0.05, 0.03, 0.02, 0.02, 0.02, -0.02, 
## -0.03, -0.07, -0.07, -0.07, -0.07, -0.07, -0.08, -0.08, -0.08, 
## -0.1, -0.1, -0.08, -0.08, -0.08, -0.07, -0.05, -0.03, -0.05, 
## -0.05, -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, -0.02, 0, 0.03, 
## 0.03, 0.03, 0.07, 0.05, 0.07, 0.02, 0.02, 0.02, 0, 0, 0.02, 0, 
## 0.02, 0, -0.02, -0.03, -0.05, -0.05, -0.07, -0.05, -0.05, -0.05, 
## -0.07, -0.1, -0.1, -0.05, -0.03, -0.02, 0, 0.05, 0, -0.02, -0.03, 
## -0.03, 0, 0, 0, 0.03, 0.05, 0.07, 0.07, 0.07, 0.05, 0.02, 0, 
## 0, -0.05, -0.07, -0.07, -0.07, -0.08, -0.07, -0.08, -0.08, -0.08, 
## -0.08, -0.08, 0.05, 0, 0, -0.03, -0.07, -0.07, -0.05, -0.05, 
## -0.07, -0.07, -0.05, -0.05, -0.07, -0.08, -0.07, -0.08, -0.1, 
## -0.11, -0.08, -0.07, 0, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.02, -0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.07, 0.02, 
## 0.02, 0.02, -0.02, -0.02, -0.05, -0.07, -0.05, -0.05, -0.07, 
## -0.05, -0.07, -0.07, -0.07, -0.07, -0.13, -0.13, -0.1, -0.1, 
## -0.07, -0.07, -0.05, -0.05, -0.05, -0.05, -0.02, -0.02, -0.02, 
## 0.03, 0.03, 0.03, 0.05, 0.07, 0.07, 0.05, 0.05, 0.03, 0.03, 0.03, 
## 0.02, 0.03, -0.02, -0.02, -0.05, -0.07, -0.07, -0.1, -0.1, -0.1, 
## -0.1, 0.07, 0.07, 0.05, -0.02, -0.02, -0.03, -0.08, -0.07, -0.07, 
## -0.1, -0.08, -0.08, -0.07, -0.07, -0.07, -0.08, -0.1, -0.11, 
## -0.07, -0.05, -0.03, -0.03, -0.02, 0.05, 0.05, 0.07, 0.07, 0.05, 
## 0.05, 0.05, 0.05, 0.07, 0.05, 0.03, 0.03, 0.02, 0, 0, -0.02, 
## -0.03, -0.03, -0.05, -0.07, -0.08, -0.1, -0.1, -0.08, -0.08, 
## -0.1, -0.08, -0.07, -0.02, 0, 0.02, 0, -0.02, -0.03, -0.03, -0.02, 
## 0, 0.02, 0.03, 0.03, 0.05, 0.05, 0.05, 0.05, 0, 0, -0.02, -0.05, 
## -0.1, -0.08, -0.08, -0.08, -0.13, -0.11, -0.1, -0.08, -0.08, 
## -0.07, -0.05, 0.02, 0.02, 0.03, 0.07, 0.07, 0.07, 0.07, 0.03, 
## 0.05, 0.03, 0, 0.02, 0, -0.03, -0.05, -0.03, -0.02, -0.07, -0.08, 
## -0.08, -0.1, -0.1, -0.07, -0.05, -0.07, -0.07, -0.08, -0.08, 
## -0.08, -0.03, 0.02, 0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 
## 0.02, -0.02, -0.02, -0.03, -0.05, -0.03, -0.08, -0.08, -0.08, 
## -0.07, -0.05, -0.07, -0.07, -0.08, -0.11, -0.11, -0.1, -0.1, 
## -0.05, -0.05, -0.03, -0.03, 0.05, 0.03, 0.07, 0.08, 0.08, 0.07, 
## 0.08, 0.1, 0.1, 0.11, 0.1, 0.07, 0.07, 0.03, 0.02, 0.02, 0.02, 
## -0.02, 0, -0.05, -0.05, -0.07, -0.08, -0.08, -0.08, -0.08, -0.08, 
## -0.08, -0.08, -0.08, -0.1, -0.1, -0.13, -0.13, -0.11, -0.11, 
## -0.11, -0.08, -0.03, -0.03, -0.02, -0.02, 0.02, 0.07, 0.08, 0.07, 
## 0.07, 0.08, 0.11, 0.11, 0.11, 0.05, 0.03, 0.05, 0.03, 0.02, -0.03, 
## -0.03, -0.07, -0.08, -0.1, -0.1, -0.1, -0.08, -0.08, -0.11, -0.08, 
## -0.07, -0.05, -0.03, 0, 0, 0, -0.02, -0.03, -0.02, 0, 0, 0.05, 
## 0.05, 0.05, 0.05, 0.05, 0.03, 0.03, -0.02, 0, -0.02, -0.07, -0.08, 
## -0.07, -0.07, -0.07, -0.07, -0.07, -0.1, -0.11, -0.1, -0.02, 
## -0.02, -0.03, -0.02, -0.02, 0.02, 0.02, -0.03, -0.02, -0.02, 
## -0.03, -0.02, -0.02, -0.02, -0.02, -0.05, -0.05, -0.07, -0.05, 
## -0.05, -0.07, -0.05, -0.03, -0.03, -0.02, -0.02, 0, 0.02, 0, 
## 0, 0.03, 0, 0.02, 0.02, -0.02, 0, 0.02, 0.02, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.07, -0.07, -0.07, 
## -0.1, -0.05, 0, 0, 0, 0.02, 0.02, 0, 0, 0, -0.02, -0.02, 0, 0.02, 
## 0.03, 0.03, 0, 0.02, -0.02, -0.02, -0.02, -0.03, -0.08, -0.05, 
## -0.05, -0.03, 0, 0.02, 0.02, 0.02, -0.02, -0.03, -0.02, 0, 0.02, 
## 0.03, 0.02, 0.02, 0.03, 0.02, 0.02, 0, -0.03, -0.02, -0.07, -0.05, 
## -0.05, -0.05, -0.07, -0.07, -0.07, -0.07, -0.05, -0.05, -0.05, 
## -0.03, -0.02, -0.02, 0, 0, -0.02, 0, 0.02, 0, 0.02, 0.03, 0, 
## 0, 0.03, 0.02, 0, -0.02, -0.05, -0.05, -0.07, -0.07, -0.03, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.03, -0.03, 
## -0.03, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.05, -0.05, 
## -0.07, -0.07, -0.05, -0.05, -0.05, -0.03, -0.02, -0.03, -0.03, 
## -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, 0, 0, 
## -0.02, 0, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 
## -0.02, 0.02, 0, 0.02, 0, 0, -0.02, 0, 0, -0.03, -0.05, -0.03, 
## -0.02, 0, -0.02, -0.02, -0.02, -0.02, 0.02, 0.02, 0, -0.02, -0.02, 
## -0.02, -0.02, -0.02, 0, 0, 0.02, 0, 0, -0.02, -0.03, -0.07, -0.05, 
## -0.07, -0.05, -0.05, -0.05, -0.03, -0.05, -0.03, -0.03, -0.03, 
## -0.05, -0.03, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.02, 
## -0.03, -0.02, -0.02, -0.02, -0.02, 0.02, 0.02, 0, -0.02, -0.02, 
## 0.02, 0.05, 0.05, 0.03, 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, 
## 0, 0, 0, -0.02, -0.02, -0.05, -0.05, -0.03, -0.05, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.07, -0.07, 
## -0.05, -0.08, -0.03, 0, 0, 0.02, 0, 0, 0, 0.02, 0, -0.02, -0.02, 
## 0, -0.02, -0.03, -0.05, -0.05, -0.05, -0.05, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, 0.02, -0.03, 0, 0, -0.02, 0, 0, 0, 0.02, 0.02, 
## 0.02, 0, 0, 0, 0, -0.02, -0.08, -0.07, -0.07, -0.08, -0.05, -0.05, 
## -0.05, -0.05, -0.02, -0.02, 0, 0, -0.02, 0.02, 0, 0, -0.02, 0, 
## 0, 0, -0.05, -0.07, -0.05, -0.05, -0.05, -0.07, -0.07, -0.05, 
## -0.08, -0.05, -0.03, -0.03, -0.02, -0.02, 0.07, 0.07, 0.07, 0.03, 
## 0.02, 0, 0.02, 0, -0.02, 0.03, 0.02, -0.03, -0.02, 0, 0.11, -0.02, 
## -0.07, -0.07, -0.08, -0.08, -0.08, -0.07, -0.07, -0.05, -0.02, 
## 0, 0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 0.03, 0.03, 0.02, 0.02, 
## 0, -0.03, -0.03, -0.03, -0.03, -0.03, 0, 0.02, 0, 0, 0, -0.02, 
## 0, -0.02, 0, 0, -0.02, 0, -0.02, -0.02, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.02, -0.02, -0.03, -0.03, -0.05, -0.07, -0.05, 
## -0.05, -0.03, -0.03, -0.02, -0.03, -0.03, -0.05, -0.05, -0.05, 
## -0.03, -0.07, -0.08, -0.05, -0.05, -0.05, -0.03, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.07, -0.07, -0.05, -0.03, -0.05, -0.03, 
## -0.05, -0.05, -0.03, 0, -0.02, -0.07, -0.05, -0.02, 0.02, 0.05, 
## 0, 0.02, 0.03, 0.03, 0.02, -0.02, -0.03, -0.02, 0, 0, 0, 0.02, 
## 0, 0, -0.02, -0.02, -0.02, 0, 0.03, 0.03, 0.02, 0.03, 0.03, 0.02, 
## 0, 0, 0, 0, 0, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.03, 
## -0.05, 0, 0.02, 0.03, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.03, 0.03, 
## 0.03, 0.02, -0.03, 0.02, -0.02, 0, 0.02, 0, 0.02, 0.02, 0, 0, 
## -0.03, -0.07, -0.05, -0.07, -0.07, -0.03, -0.05, -0.05, -0.02, 
## -0.03, -0.05, 0, 0.02, 0.02, 0.03, 0.02, 0.05, 0.07, 0.05, 0.05, 
## 0.03, 0.05, 0.03, 0.02, 0.02, 0.02, -0.03, -0.02, -0.03, -0.02, 
## -0.02, -0.02, 0, 0.02, 0.02, -0.02, -0.02, 0.03, 0.02, -0.02, 
## -0.03, -0.03, -0.05, -0.07, -0.03, -0.05, -0.08, -0.1, -0.1, 
## -0.03, -0.03, 0.03, -0.02, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 
## 0, -0.03, -0.03, -0.08, -0.07, -0.03, -0.02, -0.07, -0.03, -0.03, 
## -0.05, -0.03, -0.02, 0, 0, -0.02, 0.02, 0, 0.02, 0.07, 0.05, 
## 0, 0, 0.03, 0.02, -0.02, -0.03, -0.03, -0.03, -0.05, -0.03, -0.02, 
## 0, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.05, -0.07, -0.05, -0.07, -0.08, -0.07, -0.02, -0.03, -0.05, 
## -0.05, -0.03, 0, 0.02, 0, 0.02, 0, 0.03, 0.05, 0.05, 0.05, 0.02, 
## 0.02, 0.02, 0, -0.02, -0.05, -0.07, -0.07, -0.05, -0.02, -0.02, 
## 0.03, 0, 0.02, 0.02, 0.05, 0.05, 0.03, 0.02, 0.03, 0.02, 0.02, 
## -0.03, -0.05, -0.05, -0.05, -0.05, -0.1, -0.02, -0.02, 0, -0.02, 
## 0.02, -0.02, 0.02, 0.07, 0.05, 0.03, 0.03, 0.02, 0.02, 0.03, 
## -0.05, -0.08, -0.07, -0.02, -0.02, 0.02, 0.02, 0.03, 0, 0, -0.03, 
## -0.05, -0.02, 0, -0.02, 0.03, 0.02, 0.03, 0, 0, 0.02, 0.05, 0.03, 
## 0.02, 0.02, 0.02, -0.07, -0.02, -0.03, -0.03, -0.03, -0.07, -0.05, 
## -0.02, -0.02, -0.05, -0.05, 0, 0.02, 0.1, 0.08, 0.05, 0.02, 0, 
## 0.02, 0.03, -0.03, -0.03, -0.03, -0.03, 0, 0, 0, 0.02, 0.02, 
## 0.03, 0.05, 0.03, 0.02, 0.05, 0.07, 0.03, 0.02, 0, 0.07, 0.07, 
## 0.07, 0.05, -0.05, -0.05, -0.02, -0.03, -0.1, -0.07, -0.03, -0.03, 
## -0.07, -0.05, -0.02, 0.02, 0.02, 0, 0, 0, -0.02, 0, 0, 0, 0, 
## 0, 0, 0.03, 0.05, 0, -0.03, -0.05, -0.02, -0.02, -0.03, -0.03, 
## 0, 0, 0, -0.02, -0.02, 0, 0, 0.02, 0, 0, 0, -0.05, -0.05, 0, 
## -0.02, 0, 0, -0.03, -0.02, -0.02, -0.02, -0.02, 0.02, 0, -0.03, 
## -0.03, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.07, -0.1, -0.1, -0.02, 0.02, 0, 0, 0.02, 0.02, -0.16, 
## -0.16, -0.13, -0.11, -0.13, -0.11, -0.1, -0.1, -0.11, -0.15, 
## -0.23, -0.21, -0.23, -0.23, -0.23, -0.23, -0.21, -0.18, -0.18, 
## -0.16, -0.18, -0.16, -0.16, -0.18, -0.18, -0.2, -0.2, -0.16, 
## -0.16, -0.15, -0.13, -0.2, -0.2, -0.2, -0.2, -0.18, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.13, -0.15, -0.13, -0.15, -0.16, -0.16, 
## -0.2, -0.21, -0.23, -0.23, -0.23, -0.23, -0.21, -0.21, -0.16, 
## -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.15, -0.16, -0.15, 
## -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, -0.16, -0.18, -0.18, 
## -0.15, -0.13, -0.13, -0.16, -0.16, -0.16, -0.18, -0.2, -0.15, 
## -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, -0.16, -0.16, -0.15, 
## -0.13, -0.2, -0.21, -0.21, -0.18, -0.16, -0.15, -0.13, -0.13, 
## -0.13, -0.13, -0.1, -0.15, -0.15, -0.16, -0.15, -0.15, -0.15, 
## -0.15, -0.13, -0.13, -0.21, -0.21, -0.23, -0.23, -0.2, -0.18, 
## -0.16, -0.18, -0.18, -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.16, -0.18, -0.16, -0.18, -0.16, -0.18, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, 
## -0.16, -0.18, -0.18, -0.18, -0.16, -0.15, -0.16, -0.13, -0.11, 
## -0.11, -0.11, -0.13, -0.15, -0.16, -0.18, -0.18, -0.2, -0.2, 
## -0.2, -0.21, -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, -0.16, 
## -0.15, -0.15, -0.18, -0.16, -0.16, -0.15, -0.18, -0.18, -0.2, 
## -0.16, -0.16, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, 
## -0.18, -0.16, -0.15, -0.15, -0.15, -0.15, -0.15, -0.18, -0.18, 
## -0.2, -0.18, -0.2, -0.18, -0.2, -0.2, -0.21, -0.23, -0.23, -0.2, 
## -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, 
## -0.15, -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, -0.15, 
## -0.15, -0.13, -0.15, -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, 
## -0.2, -0.18, -0.15, -0.18, -0.18, -0.2, -0.2, -0.2, -0.18, -0.18, 
## -0.16, -0.16, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.18, 
## -0.18, -0.15, -0.13, -0.15, -0.16, -0.16, -0.16, -0.18, -0.18, 
## -0.2, -0.18, -0.18, -0.18, -0.15, -0.15, -0.16, -0.18, -0.16, 
## -0.16, -0.16, -0.18, -0.16, -0.16, -0.16, -0.13, -0.13, -0.13, 
## -0.18, -0.18, -0.18, -0.18, -0.16, -0.18, -0.2, -0.2, -0.18, 
## -0.16, -0.16, -0.15, -0.13, -0.15, -0.15, -0.18, -0.18, -0.21, 
## -0.21, -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, 
## -0.15, -0.15, -0.16, -0.16, -0.18, -0.18, -0.16, -0.13, -0.11, 
## -0.11, -0.11, -0.1, -0.13, -0.13, -0.15, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.15, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.13, -0.13, -0.16, -0.16, -0.16, -0.15, -0.15, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.18, -0.2, -0.18, -0.2, -0.18, -0.16, 
## -0.18, -0.18, -0.2, -0.2, -0.13, -0.11, -0.13, -0.15, -0.18, 
## -0.21, -0.21, -0.21, -0.21, -0.21, -0.23, -0.23, -0.25, -0.25, 
## -0.23, -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, -0.16, 
## -0.11, -0.1, -0.1, -0.08, -0.08, -0.07, -0.08, -0.11, -0.16, 
## -0.2, -0.21, -0.25, -0.25, -0.25, -0.23, -0.18, -0.16, -0.15, 
## -0.13, -0.13, -0.11, -0.05, -0.02, -0.05, 0.02, 0, 0.02, 0.02, 
## 0.02, 0.02, -0.02, -0.02, -0.05, -0.05, -0.05, -0.03, -0.02, 
## -0.03, -0.03, -0.05, -0.05, -0.07, -0.08, -0.08, -0.07, -0.07, 
## -0.07, -0.05, -0.07, -0.08, -0.1, -0.15, -0.16, -0.15, -0.16, 
## -0.15, -0.13, -0.15, -0.13, -0.13, -0.21, -0.23, -0.26, -0.34, 
## -0.39, -0.41, -0.39, -0.38, -0.34, -0.26, -0.28, -0.28, -0.36, 
## -0.38, -0.34, -0.36, -0.33, -0.25, -0.26, -0.25, -0.21, -0.23, 
## -0.21, -0.23, -0.08, -0.02, -0.03, -0.02, -0.07, -0.13, -0.15, 
## -0.13, -0.11, -0.11, -0.11, -0.13, -0.15, -0.13, -0.13, -0.1, 
## -0.08, -0.1, -0.13, -0.15, -0.15, -0.16, -0.2, -0.2, -0.18, -0.2, 
## -0.2, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.15, -0.15, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.18, 
## -0.18, -0.18, -0.18, -0.2, -0.21, -0.21, -0.16, -0.16, -0.18, 
## -0.18, -0.16, -0.16, -0.15, -0.13, -0.13, -0.15, -0.2, -0.23, 
## -0.21, -0.2, -0.2, -0.2, -0.18, -0.18, -0.16, -0.16, -0.18, -0.18, 
## -0.18, -0.16, -0.13, -0.15, -0.15, -0.15, -0.16, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.21, -0.2, -0.18, -0.18, 
## -0.16, -0.15, -0.15, -0.15, -0.13, -0.15, -0.16, -0.16, -0.16, 
## -0.18, -0.15, -0.16, -0.18, -0.18, -0.16, -0.16, -0.2, -0.18, 
## -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, -0.15, -0.15, -0.15, 
## -0.15, -0.16, -0.16, -0.18, -0.18, -0.2, -0.18, -0.16, -0.15, 
## -0.16, -0.16, -0.16, -0.18, -0.23, -0.21, -0.15, -0.18, -0.18, 
## -0.16, -0.18, -0.18, -0.21, -0.23, -0.23, -0.23, -0.2, -0.2, 
## -0.21, -0.18, -0.18, -0.16, -0.18, -0.18, -0.2, -0.25, -0.25, 
## -0.25, -0.23, -0.18, -0.1, -0.07, -0.07, -0.07, -0.07, -0.1, 
## -0.16, -0.2, -0.21, -0.23, -0.25, -0.26, -0.28, -0.3, -0.3, -0.28, 
## -0.26, -0.23, -0.21, -0.2, -0.18, -0.15, -0.15, -0.15, -0.18, 
## -0.2, -0.2, -0.18, -0.21, -0.15, -0.21, -0.2, -0.2, -0.18, -0.16, 
## -0.16, -0.13, -0.15, -0.18, -0.2, -0.21, -0.2, -0.18, -0.16, 
## -0.16, -0.13, -0.18, -0.16, -0.18, -0.2, -0.16, -0.13, -0.15, 
## -0.15, -0.18, -0.18, -0.18, -0.2, -0.25, -0.25, -0.25, -0.25, 
## -0.25, -0.25, -0.23, -0.21, -0.18, -0.21, -0.23, -0.23, -0.21, 
## -0.2, -0.21, -0.21, -0.3, -0.21, -0.18, -0.16, -0.15, -0.15, 
## -0.13, -0.11, -0.11, -0.13, -0.15, -0.21, -0.15, -0.15, -0.13, 
## -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, 
## -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.15, -0.15, -0.15, 
## -0.15, -0.13, -0.15, -0.13, -0.16, -0.18, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.18, -0.18, -0.15, -0.16, -0.16, -0.18, -0.2, 
## -0.2, -0.18, -0.16, -0.15, -0.16, -0.13, -0.11, -0.13, -0.11, 
## -0.15, -0.16, -0.25, -0.2, -0.16, -0.23, -0.23, -0.21, -0.16, 
## -0.18, -0.2, -0.18, -0.18, -0.18, -0.16, -0.16, -0.15, -0.16, 
## -0.15, -0.15, -0.15, -0.13, -0.11, -0.13, -0.18, -0.16, -0.18, 
## -0.16, -0.18, -0.2, -0.16, -0.16, -0.18, -0.18, -0.2, -0.2, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.16, 
## -0.16, -0.15, -0.15, -0.15, -0.13, -0.16, -0.16, -0.15, -0.15, 
## -0.15, -0.16, -0.18, -0.2, -0.15, -0.13, -0.16, -0.16, -0.16, 
## -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.16, -0.18, 
## -0.18, -0.18, -0.16, -0.16, -0.18, -0.18, -0.18, -0.2, -0.18, 
## -0.18, -0.18, -0.18, -0.16, -0.18, -0.2, -0.2, -0.2, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.2, -0.18, -0.2, -0.18, -0.16, 
## -0.15, -0.13, -0.13, -0.15, -0.15, -0.21, -0.21, -0.21, -0.2, 
## -0.18, -0.16, -0.16, -0.15, -0.16, -0.16, -0.15, -0.15, -0.15, 
## -0.16, -0.16, -0.11, -0.13, -0.13, -0.13, -0.13, -0.11, -0.15, 
## -0.15, -0.18, -0.18, -0.21, -0.21, -0.2, -0.21, -0.21, -0.2, 
## -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.2, -0.2, 
## -0.18, -0.16, -0.18, -0.16, -0.16, -0.15, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.15, -0.16, -0.18, -0.18, -0.15, -0.16, -0.18, 
## -0.18, -0.18, -0.15, -0.15, -0.15, -0.15, -0.16, -0.18, -0.21, 
## -0.2, -0.21, -0.21, -0.2, -0.2, -0.2, -0.23, -0.25, -0.25, -0.25, 
## -0.2, -0.18, -0.18, -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.16, -0.15, -0.15, -0.16, -0.16, -0.16, -0.18, 
## -0.2, -0.2, -0.2, -0.2, -0.18, -0.18, -0.16, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.2, -0.16, -0.16, -0.18, -0.13, -0.11, -0.11, -0.1, 
## -0.11, -0.13, -0.15, -0.15, -0.16, -0.16, -0.15, -0.15, -0.16, 
## -0.15, -0.18, -0.15, -0.18, -0.16, -0.16, -0.15, -0.13, -0.13, 
## -0.13, -0.18, -0.21, -0.21, -0.2, -0.25, -0.26, -0.25, -0.25, 
## -0.21, -0.2, -0.2, -0.2, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, 
## -0.15, -0.16, -0.16, -0.15, -0.15, -0.15, -0.15, -0.13, -0.15, 
## -0.13, -0.13, -0.13, -0.15, -0.18, -0.21, -0.21, -0.2, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, -0.13, 
## -0.11, -0.11, -0.1, -0.13, -0.15, -0.25, -0.26, -0.28, -0.28, 
## -0.28, -0.28, -0.26, -0.25, -0.18, -0.16, -0.16, -0.18, -0.16, 
## -0.16, -0.16, -0.16, -0.15, -0.16, -0.16, -0.21, -0.21, -0.2, 
## -0.16, -0.15, -0.15, -0.16, -0.15, -0.13, -0.05, -0.05, -0.08, 
## -0.11, -0.18, -0.16, -0.15, -0.11, -0.15, -0.2, -0.2, -0.2, -0.18, 
## -0.18, -0.15, -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, -0.2, 
## -0.2, -0.18, -0.18, -0.18, -0.16, -0.15, -0.15, -0.15, -0.15, 
## -0.15, -0.15, -0.15, -0.16, -0.18, -0.16, -0.18, -0.18, -0.2, 
## 0.05, -0.03, -0.23, -0.15, -0.11, -0.15, -0.18, -0.18, -0.16, 
## -0.18, -0.18, -0.16, -0.15, -0.15, -0.15, -0.18, -0.18, -0.18, 
## -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, -0.18, -0.13, -0.16, 
## -0.15, -0.15, -0.15, -0.15, -0.13, -0.18, -0.18, -0.16, -0.2, 
## -0.2, -0.16, -0.13, -0.13, -0.11, -0.13, -0.15, -0.15, -0.13, 
## -0.16, -0.16, -0.16, -0.15, -0.15, -0.15, -0.13, -0.13, -0.13, 
## -0.13, -0.11, -0.15, -0.16, -0.16, -0.16, -0.18, -0.21, -0.21, 
## -0.18, -0.2, -0.2, -0.16, -0.2, -0.2, -0.21, -0.21, -0.2, -0.18, 
## -0.21, -0.21, -0.2, -0.2, -0.16, -0.18, -0.16, -0.1, -0.11, -0.13, 
## -0.15, -0.13, -0.13, -0.18, -0.2, -0.21, -0.2, -0.18, -0.16, 
## -0.16, -0.18, -0.18, -0.18, -0.18, -0.16, -0.15, -0.15, -0.15, 
## -0.15, -0.16, -0.15, -0.16, -0.18, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.15, -0.15, -0.16, -0.18, -0.18, -0.16, -0.18, 
## -0.18, -0.18, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.15, -0.15, -0.13, -0.15, -0.15, -0.16, -0.16, -0.21, -0.2, 
## -0.18, -0.2, -0.25, -0.15, -0.11, -0.13, -0.23, -0.21, -0.2, 
## -0.18, -0.18, -0.21, -0.2, -0.2, -0.2, -0.23, -0.18, -0.16, -0.15, 
## -0.16, -0.13, -0.13, -0.11, -0.21, -0.21, -0.21, -0.23, -0.23, 
## -0.13, -0.11, -0.11, -0.1, -0.13, -0.11, -0.15, -0.16, -0.16, 
## -0.16, -0.18, -0.18, -0.16, -0.18, -0.18, -0.16, -0.18, -0.15, 
## -0.15, -0.15, -0.13, -0.18, -0.18, -0.16, -0.15, -0.13, -0.11, 
## -0.11, -0.1, -0.11, -0.1, -0.08, -0.07, -0.08, -0.11, -0.13, 
## -0.13, -0.13, -0.15, -0.2, -0.21, -0.23, -0.2, -0.18, -0.18, 
## -0.15, -0.13, -0.13, -0.13, -0.15, -0.15, -0.16, -0.16, -0.15, 
## -0.13, -0.13, -0.15, -0.15, -0.16, -0.16, -0.18, -0.16, -0.16, 
## -0.18, -0.18, -0.18, -0.15, -0.15, -0.2, -0.21, -0.2, -0.21, 
## -0.18, -0.18, -0.2, -0.18, -0.18, -0.18, -0.18, -0.2, -0.2, -0.2, 
## -0.21, -0.2, -0.2, -0.18, -0.16, -0.16, -0.15, -0.15, -0.2, -0.2, 
## -0.2, -0.2, -0.18, -0.18, -0.18, -0.16, -0.15, -0.15, -0.16, 
## -0.16, -0.18, -0.23, -0.21, -0.23, -0.21, -0.23, -0.23, -0.25, 
## -0.25, -0.23, -0.18, -0.15, -0.15, -0.16, -0.2, -0.18, -0.18, 
## -0.16, -0.16, -0.18, -0.18, -0.16, -0.16, -0.15, -0.15, -0.13, 
## -0.11, -0.13, -0.11, -0.1, -0.1, -0.1, -0.11, -0.13, -0.15, -0.16, 
## -0.15, -0.16, -0.18, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, 
## -0.15, -0.15, -0.15, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.18, -0.21, -0.21, -0.21, -0.21, -0.21, -0.23, -0.21, 
## -0.2, -0.21, -0.23, -0.2, -0.2, -0.16, -0.18, -0.16, -0.15, -0.16, 
## -0.15, -0.13, -0.11, -0.11, -0.13, -0.11, -0.11, -0.15, -0.13, 
## -0.13, -0.13, -0.13, -0.16, -0.16, -0.18, -0.18, -0.13, -0.11, 
## -0.15, -0.15, -0.16, -0.18, -0.16, -0.18, -0.18, -0.16, -0.18, 
## -0.16, 0, -0.02, -0.03, -0.02, -0.02, 0, 0, 0, 0.02, 0, 0, -0.02, 
## 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, -0.05, -0.07, -0.07, 
## -0.08, -0.07, -0.07, -0.08, -0.07, -0.05, -0.07, -0.1, -0.07, 
## -0.05, -0.03, -0.03, -0.08, -0.03, 0, 0.02, 0.02, 0, -0.05, -0.05, 
## -0.03, 0.03, 0.05, 0.05, 0.02, 0.02, -0.02, -0.05, -0.05, -0.05, 
## -0.02, 0, 0.02, 0.07, 0.07, 0.02, 0, 0, 0.05, -0.02, -0.03, -0.03, 
## -0.02, 0.07, 0.07, -0.07, -0.03, -0.03, -0.05, -0.03, -0.02, 
## 0, -0.02, -0.03, -0.02, -0.02, 0, 0.02, 0.03, 0.03, 0.05, 0.05, 
## 0.03, 0.05, 0.03, 0.03, -0.02, 0.02, 0.03, 0.02, 0, 0, -0.02, 
## -0.03, -0.03, -0.03, 0.03, 0, -0.05, -0.05, -0.03, -0.02, -0.03, 
## -0.1, -0.13, -0.11, -0.05, -0.05, -0.05, -0.02, -0.03, -0.02, 
## 0.02, 0.03, 0.05, 0.02, 0.05, 0.05, 0.02, 0.03, 0.03, 0.03, 0.02, 
## 0.02, -0.02, -0.02, -0.08, -0.05, -0.05, -0.02, -0.02, 0.02, 
## 0.07, 0.07, 0.03, 0, -0.03, -0.02, -0.05, -0.07, -0.07, -0.07, 
## -0.07, -0.07, 0, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 0, -0.08, 
## -0.08, -0.03, -0.03, -0.05, -0.05, 0.03, 0.02, 0.02, -0.02, -0.03, 
## -0.03, -0.03, -0.02, 0, 0.02, 0.03, 0.03, 0.03, 0.03, 0.05, 0.02, 
## 0.02, 0.03, -0.02, -0.03, -0.07, -0.08, -0.08, -0.08, -0.05, 
## -0.05, -0.05, -0.03, 0, 0.03, 0.03, 0, -0.02, -0.03, -0.05, -0.05, 
## 0.03, 0.03, 0.03, 0.03, 0.03, 0.05, 0.05, -0.1, -0.07, -0.05, 
## -0.07, -0.07, -0.08, -0.07, -0.07, -0.07, -0.07, -0.05, -0.03, 
## 0, -0.02, -0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 0.07, 
## 0.05, 0.05, 0.07, 0.03, 0.07, 0.05, 0.05, 0.05, 0.03, 0.02, 0, 
## 0, 0, 0.02, 0, -0.02, -0.03, -0.07, -0.07, -0.07, -0.08, -0.1, 
## -0.1, -0.07, -0.08, -0.08, -0.11, -0.1, -0.08, -0.07, -0.05, 
## -0.07, -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.02, 0, 0.02, 0.03, 0.03, -0.44, -0.43, -0.43, -0.41, -0.43, 
## -0.41, -0.39, -0.39, -0.39, -0.38, -0.39, -0.39, -0.38, -0.39, 
## -0.38, -0.36, -0.38, -0.39, -0.43, -0.43, -0.44, -0.43, -0.43, 
## -0.44, -0.44, -0.48, -0.49, -0.54, -0.54, -0.44, -0.43, -0.43, 
## -0.48, -0.49, -0.51, -0.51, -0.51, -0.49, -0.39, -0.39, -0.39, 
## -0.39, -0.39, -0.39, -0.36, -0.36, -0.36, -0.43, -0.43, -0.41, 
## -0.43, -0.44, -0.46, -0.44, -0.46, -0.44, -0.49, -0.46, -0.49, 
## -0.49, -0.48, -0.48, -0.48, -0.48, -0.02, -0.03, 0, -0.02, -0.05, 
## -0.05, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, 0.02, 0.03, 0.02, -0.02, -0.03, 
## -0.05, -0.07, -0.08, -0.03, 0, -0.03, -0.03, -0.02, 0, 0, 0, 
## 0, -0.03, -0.03, -0.03, 0, 0, 0, -0.02, -0.03, 0, -0.03, -0.05, 
## -0.05, -0.05, -0.05, -0.07, -0.07, -0.05, -0.03, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, -0.02, 
## -0.02, -0.02, -0.03, 0, 0, -0.02, 0, 0, -0.02, 0, 0, -0.02, -0.02, 
## -0.03, -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, 
## 0.02, -0.02, -0.02, -0.03, -0.03, -0.07, -0.08, -0.07, -0.07, 
## -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 0.02, 0.03, 
## 0.02, 0, 0, -0.02, 0, 0.02, -0.02, -0.02, -0.03, -0.03, -0.02, 
## -0.02, 0, 0, 0, -0.02, 0, 0, 0.02, 0.03, -0.02, -0.02, -0.05, 
## -0.07, -0.08, -0.08, -0.07, -0.07, -0.05, -0.03, -0.02, 0, -0.02, 
## -0.03, -0.03, -0.05, -0.03, -0.02, 0, -0.02, -0.03, -0.03, -0.05, 
## -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, -0.05, -0.05, -0.05, 
## -0.05, 0.02, 0, -0.02, -0.05, -0.05, -0.05, -0.02, -0.02, -0.02, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, -0.02, 0, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.05, -0.05, -0.02, -0.02, 0, 0, 0.02, 
## 0, 0, -0.02, -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, 0.02, 
## 0, 0, 0, 0, -0.03, -0.02, -0.02, -0.02, 0, 0, -0.41, -0.36, -0.39, 
## -0.39, -0.43, -0.41, -0.41, -0.41, -0.44, -0.44, -0.46, -0.44, 
## -0.44, -0.48, -0.46, -0.46, -0.44, -0.44, -0.46, -0.46, -0.44, 
## -0.44, -0.46, -0.48, -0.49, -0.51, -0.48, -0.46, -0.44, -0.43, 
## -0.44, -0.44, -0.46, -0.46, -0.44, -0.44, -0.44, -0.44, -0.46, 
## -0.44, -0.44, -0.48, -0.48, -0.48, -0.48, -0.46, -0.46, -0.46, 
## -0.46, -0.46, -0.44, -0.46, -0.46, -0.46, -0.46, -0.41, -0.43, 
## -0.41, -0.41, -0.41, -0.41, -0.43, -0.43, -0.43, -0.43, -0.43, 
## -0.44, -0.43, -0.43, -0.44, -0.46, -0.44, -0.46, -0.44, -0.46, 
## -0.44, -0.46, -0.48, -0.44, -0.43, -0.44, -0.46, -0.44, -0.44, 
## -0.48, -0.46, -0.44, -0.44, -0.44, -0.43, -0.41, -0.41, -0.39, 
## -0.39, -0.41, -0.41, -0.44, -0.46, -0.48, -0.44, -0.46, -0.46, 
## -0.44, -0.43, -0.46, -0.46, -0.46, -0.46, -0.46, -0.44, -0.44, 
## -0.44, -0.44, -0.43, -0.43, -0.44, -0.43, -0.43, -0.41, -0.38, 
## -0.38, -0.48, -0.49, -0.48, -0.44, -0.43, -0.44, -0.44, -0.44, 
## -0.44, -0.44, -0.48, -0.46, -0.46, -0.48, -0.46, -0.48, -0.49, 
## -0.48, -0.44, -0.44, -0.44, -0.44, -0.41, -0.43, -0.43, -0.44, 
## -0.43, -0.44, -0.44, -0.46, -0.48, -0.44, -0.48, -0.48, -0.44, 
## -0.46, -0.48, -0.44, -0.44, -0.44, -0.43, -0.43, -0.43, -0.44, 
## -0.46, -0.46, -0.48, -0.46, -0.46, -0.46, -0.46, -0.46, -0.46, 
## -0.48, -0.48, -0.48, -0.44, -0.46, -0.43, -0.44, -0.48, -0.48, 
## -0.48, -0.44, -0.46, -0.44, -0.44, -0.44, -0.46, -0.48, -0.48, 
## -0.46, -0.44, -0.44, -0.44, -0.46, -0.46, -0.43, -0.43, -0.44, 
## -0.43, -0.44, -0.43, -0.43, -0.43, -0.41, -0.41, -0.43, -0.43, 
## -0.39, -0.43, -0.43, -0.44, -0.44, -0.46, -0.44, -0.44, -0.48, 
## -0.46, -0.48, -0.48, -0.46, -0.46, -0.44, -0.44, -0.44, -0.44, 
## -0.44, -0.44, -0.44, -0.44, -0.44, -0.46, -0.44, -0.43, -0.43, 
## -0.46, -0.43, -0.46, -0.44, -0.46, -0.48, -0.46, -0.46, -0.46, 
## -0.44, -0.43, -0.43, -0.44, -0.41, -0.39, -0.38, -0.38, -0.43, 
## -0.41, -0.41, -0.41, -0.43, -0.43, -0.44, -0.46, -0.46, -0.48, 
## -0.48, -0.46, -0.44, -0.46, -0.46, -0.46, -0.46, -0.46, -0.44, 
## -0.43, -0.43, -0.44, -0.44, -0.46, -0.44, -0.44, -0.46, -0.48, 
## -0.48, -0.46, -0.48, -0.43, -0.46, -0.46, -0.46, -0.46, -0.48, 
## -0.46, -0.43, -0.44, -0.44, -0.43, -0.44, -0.43, -0.43, -0.41, 
## -0.36, -0.38, -0.46, -0.46, -0.44, -0.44, -0.43, -0.41, -0.43, 
## -0.48, -0.48, -0.46, -0.44, -0.44, -0.43, -0.46, -0.44, -0.43, 
## -0.44, -0.46, -0.44, -0.44, -0.46, -0.48, -0.48, -0.46, -0.48, 
## -0.46, -0.46, -0.46, -0.44, -0.44, -0.46, -0.44, -0.46, -0.46, 
## -0.46, -0.43, -0.43, -0.43, -0.41, -0.38, -0.43, -0.44, -0.44, 
## -0.46, -0.44, -0.46, -0.46, -0.44, -0.49, -0.49, -0.51, -0.52, 
## -0.49, -0.46, -0.48, -0.48, -0.46, -0.44, -0.46, -0.44, -0.43, 
## -0.43, -0.44, -0.44, -0.43, -0.44, -0.43, -0.44, -0.44, -0.46, 
## -0.46, -0.46, -0.44, -0.44, -0.44, -0.44, -0.44, -0.44, -0.46, 
## -0.46, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, -0.03, -0.05, -0.05, 
## -0.03, -0.03, 0, 0.02, 0, -0.02, 0.02, 0, 0, 0.02, 0.02, -0.02, 
## 0, -0.02, -0.02, -0.02, -0.05, -0.05, -0.05, -0.05, -0.05, -0.07, 
## -0.05, -0.05, -0.03, -0.03, -0.05, -0.03, -0.03, -0.02, -0.03, 
## -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 0, 0, 
## 0, -0.02, 0, -0.02, -0.02, -0.03, -0.05, -0.05, -0.05, -0.07, 
## -0.03, -0.02, 0, -0.03, -0.03, -0.03, -0.03, -0.03, 0, 0, 0.02, 
## 0.02, -0.02, -0.03, -0.03, -0.03, -0.05, -0.05, -0.03, -0.05, 
## -0.05, -0.07, -0.05, -0.05, -0.05, -0.03, -0.03, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.02, 0, 0, 0, 0.02, 0, 0, 0, -0.02, -0.03, 
## -0.03, -0.05, -0.05, -0.08, -0.08, -0.08, -0.08, -0.08, -0.07, 
## -0.05, -0.03, -0.03, -0.02, 0, 0.03, 0.03, 0.03, 0.03, 0.02, 
## -0.02, -0.02, -0.02, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
## -0.07, -0.08, -0.05, -0.03, -0.02, 0, -0.02, -0.02, 0, 0, 0, 
## 0, -0.02, 0, -0.02, 0.02, 0.03, 0.02, 0.02, 0, 0, 0, 0, -0.02, 
## -0.03, -0.02, -0.03, -0.03, -0.05, -0.1, -0.1, -0.1, -0.1, -0.07, 
## -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.03, 0.03, 
## 0.02, 0.02, 0, -0.02, -0.02, -0.05, -0.05, -0.08, -0.1, -0.11, 
## -0.07, -0.05, 0, 0, 0, 0.03, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 
## 0, 0, -0.02, -0.02, 0, -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, 
## -0.05, -0.07, -0.05, -0.03, -0.03, -0.02, 0, 0.02, 0.02, 0.02, 
## 0.02, 0, -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.07, 
## -0.07, -0.05, -0.02, 0, 0, 0, 0.02, 0.03, 0.05, 0.07, 0.07, 0.07, 
## 0.05, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.05, -0.07, -0.05, 
## -0.03, -0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, -0.02, -0.05, 
## -0.03, -0.05, -0.08, -0.08, -0.08, -0.08, -0.08, -0.05, -0.05, 
## -0.05, -0.05, -0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 0, 0, -0.02, 
## 0, 0, 0, -0.03, -0.05, -0.07, -0.08, -0.07, -0.07, -0.07, -0.07, 
## -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0, 
## 0.02, 0.02, 0, -0.03, -0.03, -0.03, -0.07, -0.07, -0.08, -0.08, 
## -0.08, -0.07, -0.07, -0.07, -0.05, -0.05, -0.03, 0.02, 0, 0.03, 
## 0.03, 0.03, 0, -0.02, -0.02, -0.02, 0, -0.05, -0.07, -0.07, -0.11, 
## -0.1, -0.08, -0.07, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.05, 0.03, 0.03, 0.05, 0.03, 
## 0.02, -0.02, -0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 
## 0.02, -0.02, 0, 0, 0, 0, -0.02, -0.05, -0.03, -0.07, -0.05, -0.03, 
## -0.02, -0.02, -0.02, -0.03, -0.02, 0, 0.02, 0.02, 0, 0.02, 0.02, 
## -0.03, -0.05, -0.05, -0.07, -0.03, -0.05, -0.07, -0.07, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.02, 0, 0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, 0, 0, 0, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, 
## -0.02, -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, 0, -0.02, 
## 0, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.03, -0.02, 
## 0, 0, -0.02, -0.02, 0, -0.02, -0.03, -0.02, -0.02, -0.03, -0.03, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, -0.03, -0.1, -0.05, 
## -0.03, -0.03, -0.03, -0.05, -0.02, -0.02, -0.05, -0.02, -0.05, 
## -0.02, -0.02, -0.05, -0.02, -0.05, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.02, -0.03, -0.03, -0.02, -0.03, -0.02, 0, 0.02, 0, 
## -0.02, -0.02, 0, 0, 0, -0.02, -0.02, -0.05, -0.03, -0.03, -0.02, 
## -0.02, -0.02, -0.02, 0, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 
## -0.02, -0.03, -0.03, -0.02, 0, 0, 0, 0, 0.02, 0, 0, -0.02, -0.03, 
## -0.05, -0.07, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, 
## -0.03, -0.03, -0.05, -0.05, -0.02, -0.05, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 
## 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0, -0.02, 0, 0, 0, -0.02, 0.02, 
## 0, 0, 0, -0.02, -0.02, -0.02, -0.05, -0.05, -0.07, -0.03, -0.03, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, 
## -0.03, -0.03, -0.03, -0.02, 0.02, 0.03, 0.03, 0.02, 0, -0.05, 
## -0.08, -0.07, -0.03, 0.03, 0.07, 0.03, -0.03, -0.03, -0.05, -0.05, 
## -0.05, -0.05, -0.05, -0.05, -0.03, -0.05, -0.07, -0.05, -0.07, 
## -0.05, -0.03, -0.07, -0.07, -0.05, -0.03, -0.03, -0.03, -0.02, 
## 0, -0.03, -0.02, -0.02, 0, 0, -0.02, -0.02, 0, 0, 0.02, 0, 0, 
## 0.02, 0.02, 0.02, 0.03, 0.03, -0.03, 0, 0, 0, -0.03, -0.02, -0.05, 
## -0.03, -0.05, -0.05, -0.05, -0.05, -0.03, -0.03, -0.07, -0.07, 
## -0.05, -0.05, -0.07, -0.05, -0.03, -0.05, -0.03, 0, -0.02, 0, 
## 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, 0, 0, 0, -0.05, -0.07, -0.07, -0.05, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.08, -0.08, -0.11, -0.05, -0.02, -0.02, 
## -0.02, -0.03, -0.02, -0.07, -0.07, -0.07, -0.05, 0, -0.03, -0.05, 
## -0.03, -0.03, -0.03, -0.05, 0, -0.02, -0.03, -0.02, -0.05, -0.05, 
## -0.03, -0.07, -0.05, -0.03, -0.03, -0.03, 0.02, 0.03, 0.05, 0.05, 
## 0.05, 0.03, 0, 0.02, 0.02, -0.02, -0.02, -0.02, -0.02, 0.02, 
## 0.03, 0.03, 0.05, 0.07, 0.05, 0.05, 0.05, 0, -0.03, -0.03, -0.03, 
## -0.02, -0.03, -0.03, -0.05, -0.07, -0.02, -0.02, -0.03, -0.03, 
## -0.02, -0.05, -0.03, -0.05, -0.07, -0.07, -0.07, -0.07, -0.08, 
## -0.08, -0.08, -0.07, -0.05, -0.05, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.03, -0.02, -0.03, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.03, 
## -0.03, -0.02, 0, -0.02, 0, 0, 0, 0, -0.02, 0, -0.02, -0.02, 0.02, 
## 0.02, 0.02, 0, 0.02, 0.02, -0.02, -0.02, -0.05, -0.05, -0.05, 
## -0.03, -0.05, -0.05, -0.03, -0.02, -0.02, -0.02, 0.02, 0.02, 
## 0.03, 0.03, 0.02, -0.02, -0.02, 0, 0, 0.03, 0.03, 0.03, 0.02, 
## 0.03, 0.02, 0, 0, 0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 
## 0.03, 0.02, -0.02, 0, -0.02, 0, 0.02, 0.02, 0, 0, -0.02, 0, 0, 
## -0.02, -0.05, -0.05, -0.03, -0.03, -0.07, -0.03, -0.02, -0.03, 
## -0.02, 0, -0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 0.03, 
## 0.03, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 0, 
## -0.02, -0.03, -0.05, -0.07, -0.02, -0.03, -0.03, -0.03, -0.03, 
## -0.05, -0.03, -0.03, 0, -0.03, 0, 0.02, 0, 0, 0, 0.02, 0.03, 
## 0, 0, 0.03, 0.03, -0.07, -0.05, -0.02, -0.02, -0.05, -0.02, 0, 
## 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.05, 0.03, 0.03, 0.02, 
## 0.03, -0.02, -0.02, 0.02, -0.02, 0.02, 0, 0, 0, 0.02, 0.02, 0.03, 
## 0.03, 0.03, -0.02, -0.03, -0.05, -0.02, -0.05, -0.05, -0.07, 
## -0.03, -0.03, -0.05, -0.05, -0.05, -0.03, -0.02, 0.02, 0, 0, 
## 0, 0.02, 0.02, 0.02, 0.07, 0.07, 0.02, 0.02, 0, -0.02, -0.02, 
## 0.02, -0.02, -0.02, 0, 0, 0, 0, 0.02, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, -0.05, -0.05, -0.03, -0.02, -0.05, -0.05, -0.03, 
## -0.05, -0.1, -0.1, -0.05, -0.03, 0, 0.03, 0, 0.02, 0.02, 0.02, 
## 0.03, 0.08, 0.1, 0.05, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 
## 0.02, -0.02, 0, 0, 0, -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.05, -0.05, -0.03, 0, -0.03, -0.02, 0, 0, -0.02, 
## 0.02, -0.02, -0.03, 0.02, 0.03, 0, 0.03, 0, 0, 0, 0, 0.02, 0, 
## 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.07, -0.03, -0.07, -0.05, 
## -0.03, -0.05, -0.05, -0.05, -0.03, 0.02, 0, 0, 0.02, 0.02, 0.03, 
## 0.03, 0.05, 0.03, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0.02, 
## 0.03, 0, 0, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.03, 
## -0.07, -0.08, -0.03, 0, 0.03, 0.03, 0, -0.02, -0.02, -0.05, -0.05, 
## 0, -0.02, 0, 0, 0.03, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 0, 
## 0.02, 0.02, -0.02, -0.07, -0.03, 0.02, 0.02, 0, -0.02, -0.02, 
## 0, 0, 0, 0, -0.02, 0, -0.02, -0.02, -0.03, -0.05, -0.02, -0.02, 
## -0.03, -0.05, -0.05, -0.05, -0.02, 0, 0, 0.02, 0.02, 0, 0, -0.02, 
## -0.02, 0, -0.02, -0.03, -0.03, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 
## 0, -0.02, 0, 0.02, 0.02, 0, 0, 0, 0.03, 0.03, 0.03, 0.02, 0.02, 
## 0, 0.02, 0, -0.03, 0.02, 0, 0, 0, 0.02, -0.02, 0, 0, 0, 0, 0, 
## 0.02, 0.02, 0, 0.02, 0.02, -0.02, -0.03, 0.03, 0.03, 0.03, 0.03, 
## 0.02, 0.03, 0.03, 0.02, 0.03, -0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.03, -0.02, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 
## 0.02, 0.02, -0.03, -0.03, -0.07, -0.08, -0.03, -0.02, 0.03, 0, 
## -0.02, 0, -0.02, 0, 0, 0, 0.03, 0.05, 0.03, 0.03, 0.02, 0.02, 
## 0.02, -0.02, -0.07, -0.07, -0.03, 0, -0.03, -0.03, 0.02, 0.02, 
## 0, 0, -0.02, 0, 0, -0.03, -0.05, -0.07, -0.02, 0, -0.02, -0.02, 
## 0, 0.02, 0.02, -0.03, -0.02, 0, 0, 0.02, 0.03, 0.03, 0.03, 0.05, 
## 0.03, 0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 
## 0, 0, -0.03, 0, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 
## 0, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.05, -0.03, 0, 0.02, 0, 0.02, 0.03, 0.02, 0.02, 
## 0, 0.02, 0.02, 0.02, 0.02, 0.05, 0.05, 0.05, 0.03, 0, -0.02, 
## -0.03, 0, 0.03, -0.03, -0.05, -0.02, 0, 0.03, 0.02, -0.03, -0.03, 
## -0.05, 0.02, 0.02, 0.03, 0.02, 0.05, -0.02, 0.03, 0.05, 0.03, 
## 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 
## -0.02, 0, 0, -0.02, -0.02, -0.2, -0.21, -0.21, -0.18, -0.2, -0.2, 
## -0.2, -0.16, -0.16, -0.16, -0.15, -0.2, -0.21, -0.18, -0.16, 
## -0.2, -0.21, -0.21, -0.2, -0.18, -0.16, -0.16, -0.16, -0.18, 
## -0.18, -0.16, -0.18, -0.16, -0.15, -0.15, -0.16, -0.2, -0.2, 
## -0.2, -0.21, -0.2, -0.16, -0.16, -0.2, -0.18, -0.18, -0.16, -0.16, 
## -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, -0.13, -0.13, 
## -0.13, -0.16, -0.16, -0.18, -0.16, -0.15, -0.13, -0.18, -0.2, 
## -0.18, -0.2, -0.18, -0.2, -0.2, -0.15, -0.15, -0.15, -0.15, -0.13, 
## -0.11, -0.11, -0.11, -0.15, -0.16, -0.16, -0.18, -0.2, -0.2, 
## -0.18, -0.2, -0.16, -0.2, -0.21, -0.16, -0.16, -0.16, -0.15, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, -0.16, -0.16, 
## -0.15, -0.16, -0.16, -0.15, -0.16, -0.18, -0.18, -0.18, -0.2, 
## -0.2, -0.18, -0.16, -0.16, -0.16, -0.15, -0.15, -0.16, -0.16, 
## -0.2, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.16, -0.18, 
## -0.18, -0.15, -0.13, -0.15, -0.11, -0.11, -0.11, -0.11, -0.13, 
## -0.18, -0.2, -0.21, -0.21, -0.23, -0.23, -0.21, -0.2, -0.2, -0.18, 
## -0.18, -0.18, -0.16, -0.16, -0.15, -0.15, -0.15, -0.16, -0.15, 
## -0.15, -0.13, -0.15, -0.15, -0.16, -0.18, -0.18, -0.21, -0.25, 
## -0.23, -0.16, -0.16, -0.15, -0.15, -0.16, -0.16, -0.16, -0.2, 
## -0.21, -0.23, -0.23, -0.21, -0.2, -0.2, -0.18, -0.18, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.18, -0.16, -0.16, -0.16, -0.15, 
## -0.18, -0.18, -0.2, -0.2, -0.2, -0.23, -0.21, -0.16, -0.18, -0.18, 
## -0.16, -0.16, -0.16, -0.15, -0.16, -0.16, -0.16, -0.15, -0.15, 
## -0.15, -0.11, -0.11, -0.16, -0.16, -0.16, -0.13, -0.13, -0.15, 
## -0.15, -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, -0.15, -0.15, 
## -0.15, -0.15, -0.15, -0.15, -0.15, -0.18, -0.2, -0.2, -0.2, -0.2, 
## -0.2, -0.2, -0.2, -0.18, -0.2, -0.2, -0.2, -0.18, -0.18, -0.16, 
## -0.15, -0.16, -0.2, -0.18, -0.16, -0.15, -0.15, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.2, -0.21, -0.21, -0.21, 
## -0.21, -0.11, -0.11, -0.13, -0.13, -0.15, -0.15, -0.15, -0.18, 
## -0.18, -0.18, -0.18, -0.2, -0.18, -0.18, -0.18, -0.2, -0.18, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.15, -0.16, -0.16, -0.18, -0.2, -0.18, -0.16, -0.18, -0.18, 
## -0.2, -0.21, -0.2, -0.2, -0.18, -0.18, -0.16, -0.18, -0.18, -0.18, 
## -0.18, -0.15, -0.13, -0.15, -0.15, -0.15, -0.15, -0.16, -0.16, 
## -0.15, -0.16, -0.16, -0.18, -0.2, -0.18, -0.16, -0.18, -0.15, 
## -0.15, -0.15, -0.16, -0.16, -0.15, -0.15, -0.15, -0.16, -0.16, 
## -0.2, -0.2, -0.21, -0.21, -0.2, -0.18, -0.18, -0.15, -0.15, -0.15, 
## -0.13, -0.16, -0.2, -0.2, -0.18, -0.2, -0.18, -0.16, -0.16, -0.15, 
## -0.15, -0.16, -0.16, -0.18, -0.2, -0.2, -0.2, -0.18, -0.18, -0.16, 
## -0.18, -0.21, -0.2, -0.18, -0.16, -0.15, -0.15, -0.18, -0.18, 
## -0.2, -0.18, -0.18, -0.16, -0.15, -0.15, -0.16, -0.16, -0.18, 
## -0.2, -0.15, -0.15, -0.15, -0.15, -0.16, -0.16, -0.15, -0.13, 
## -0.11, -0.11, -0.13, -0.15, -0.16, -0.2, -0.2, -0.21, -0.21, 
## -0.21, -0.2, -0.2, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.18, -0.18, -0.2, -0.18, -0.18, -0.18, -0.18, 
## -0.2, -0.18, -0.13, -0.11, -0.11, -0.13, -0.13, -0.15, -0.16, 
## -0.18, -0.18, -0.16, -0.18, -0.2, -0.2, -0.18, -0.2, -0.2, -0.2, 
## -0.2, -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, 
## -0.16, -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, -0.18, -0.18, 
## -0.16, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.2, -0.18, -0.2, -0.18, -0.16, -0.15, -0.15, -0.13, -0.11, 
## -0.11, -0.11, -0.1, -0.1, -0.08, -0.1, -0.1, -0.11, -0.13, -0.13, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.2, -0.2, -0.18, -0.2, -0.2, 
## -0.21, -0.2, -0.2, -0.18, -0.2, -0.21, -0.21, -0.21, -0.21, -0.2, 
## -0.21, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.15, -0.15, 
## -0.15, -0.16, -0.2, -0.23, -0.21, -0.21, -0.21, -0.2, -0.16, 
## -0.1, -0.08, -0.08, -0.08, -0.1, -0.13, -0.16, -0.16, -0.18, 
## -0.18, -0.16, -0.23, -0.21, -0.2, -0.16, -0.16, -0.18, -0.18, 
## -0.16, -0.2, -0.2, -0.2, -0.2, -0.2, -0.2, -0.2, -0.18, -0.18, 
## -0.16, -0.16, -0.18, -0.2, -0.2, -0.21, -0.2, -0.2, -0.2, -0.2, 
## -0.18, -0.15, -0.13, -0.13, -0.15, -0.15, -0.16, -0.16, -0.16, 
## -0.15, -0.15, -0.15, -0.15, -0.16, -0.2, -0.2, -0.18, -0.16, 
## -0.16, -0.15, -0.16, -0.16, -0.16, -0.15, -0.16, -0.18, -0.18, 
## -0.16, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, -0.16, -0.16, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.15, -0.15, -0.16, 
## -0.16, -0.16, -0.16, -0.18, -0.18, -0.16, -0.2, -0.18, -0.16, 
## -0.16, -0.16, -0.18, -0.18, -0.18, -0.16, -0.15, -0.16, -0.18, 
## -0.15, -0.16, -0.15, -0.15, -0.11, -0.16, -0.16, -0.18, -0.18, 
## -0.16, -0.16, -0.15, -0.15, -0.16, -0.18, -0.16, -0.18, -0.18, 
## -0.16, -0.18, -0.18, -0.2, -0.2, -0.2, -0.18, -0.18, -0.18, -0.2, 
## -0.18, -0.16, -0.15, -0.13, -0.13, -0.13, -0.18, -0.18, -0.2, 
## -0.18, -0.16, -0.18, -0.2, -0.21, -0.18, -0.18, -0.18, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, -0.18, -0.16, 
## -0.15, -0.15, -0.16, -0.18, -0.18, -0.15, -0.15, -0.15, -0.16, 
## -0.18, -0.18, -0.2, -0.18, -0.18, -0.16, -0.15, -0.16, -0.15, 
## -0.16, -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.2, -0.18, -0.18, -0.16, -0.16, -0.15, -0.15, -0.13, -0.13, 
## -0.13, -0.13, -0.15, -0.18, -0.16, -0.16, -0.16, -0.13, -0.15, 
## -0.11, -0.15, -0.16, -0.16, -0.2, -0.2, -0.18, -0.16, -0.13, 
## -0.18, -0.23, -0.2, -0.18, -0.2, -0.18, -0.18, -0.18, -0.2, -0.18, 
## -0.15, -0.15, -0.11, -0.13, -0.11, -0.11, -0.11, -0.13, -0.15, 
## -0.15, -0.15, -0.13, -0.13, -0.15, -0.15, -0.15, -0.16, -0.15, 
## -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, 
## -0.16, -0.15, -0.15, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.16, -0.16, -0.16, -0.16, -0.18, -0.18, -0.16, -0.18, 
## -0.2, -0.2, -0.2, -0.16, -0.18, -0.18, -0.16, -0.16, -0.16, -0.15, 
## -0.15, -0.16, -0.16, -0.18, -0.16, -0.18, -0.18, -0.16, -0.15, 
## -0.11, -0.08, -0.08, -0.16, -0.18, -0.2, -0.18, -0.16, -0.13, 
## -0.11, -0.16, -0.18, -0.18, -0.13, -0.16, -0.18, -0.16, -0.16, 
## -0.2, -0.18, -0.16, -0.18, -0.2, -0.18, -0.18, -0.16, -0.18, 
## -0.16, -0.15, -0.15, -0.15, -0.16, -0.18, -0.18, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.18, -0.18, -0.16, -0.18, -0.18, -0.16, 
## -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.15, -0.16, -0.18, 
## -0.2, -0.21, -0.2, -0.16, -0.16, -0.15, -0.2, -0.2, -0.15, -0.15, 
## -0.13, -0.15, -0.16, -0.16, -0.16, -0.16, -0.15, -0.15, -0.15, 
## -0.15, -0.15, -0.15, -0.18, -0.15, -0.15, -0.18, -0.2, -0.2, 
## -0.18, -0.18, -0.18, -0.21, -0.2, -0.2, -0.23, -0.2, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.15, -0.13, -0.11, -0.11, -0.15, 
## -0.16, -0.15, -0.11, -0.11, -0.11, -0.1, -0.13, -0.15, -0.13, 
## -0.15, -0.16, -0.15, -0.18, -0.16, -0.15, -0.18, -0.18, -0.2, 
## -0.15, -0.18, -0.16, -0.15, -0.15, -0.15, -0.16, -0.18, -0.18, 
## -0.18, -0.2, -0.21, -0.23, -0.21, -0.18, -0.18, -0.18, -0.2, 
## -0.18, -0.15, -0.18, -0.18, -0.16, -0.15, -0.11, -0.15, -0.18, 
## -0.18, -0.16, -0.18, -0.18, -0.18, -0.16, -0.13, -0.13, -0.16, 
## -0.18, -0.2, -0.2, -0.2, -0.18, -0.21, -0.21, -0.23, -0.18, -0.18, 
## -0.16, -0.15, -0.15, -0.18, -0.18, -0.16, -0.15, -0.16, -0.16, 
## -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.2, -0.2, 
## -0.16, -0.18, -0.16, -0.15, -0.16, -0.16, -0.18, -0.2, -0.18, 
## -0.18, -0.16, -0.13, -0.13, -0.13, -0.15, -0.16, -0.13, -0.15, 
## -0.15, -0.13, -0.13, -0.16, -0.16, -0.18, -0.18, -0.18, -0.2, 
## -0.16, -0.15, -0.13, -0.13, -0.13, -0.13, -0.15, -0.18, -0.2, 
## -0.23, -0.25, -0.23, -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.18, -0.2, -0.2, -0.2, -0.2, -0.18, -0.2, -0.2, -0.2, 
## -0.18, -0.18, -0.16, -0.18, -0.2, -0.16, -0.16, -0.16, -0.16, 
## -0.15, -0.15, -0.15, -0.15, -0.18, -0.18, -0.16, -0.15, -0.15, 
## -0.15, -0.16, -0.2, -0.2, -0.21, -0.21, -0.21, -0.18, -0.16, 
## -0.15, -0.16, -0.18, -0.15, -0.13, -0.18, -0.16, -0.16, -0.16, 
## -0.18, -0.16, -0.15, -0.15, -0.15, -0.11, -0.11, -0.15, -0.16, 
## -0.2, -0.15, -0.15, -0.21, -0.21, -0.2, -0.18, -0.15, -0.15, 
## -0.16, -0.16, -0.15, -0.16, -0.18, -0.18, -0.18, -0.21, -0.2, 
## -0.16, -0.18, -0.16, -0.16, -0.2, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.16, -0.13, -0.16, -0.2, -0.18, -0.21, -0.18, 
## -0.21, -0.2, -0.18, -0.16, -0.13, -0.15, -0.18, -0.2, -0.21, 
## -0.16, -0.13, -0.16, -0.16, -0.13, -0.13, -0.18, -0.18, -0.18, 
## -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.18, 
## -0.15, -0.13, -0.15, -0.18, -0.16, -0.15, -0.18, -0.11, -0.13, 
## -0.1, -0.13, -0.18, -0.13, -0.13, -0.13, -0.13, -0.13, -0.11, 
## -0.11, -0.11, -0.13, -0.15, -0.13, -0.16, -0.16, -0.16, -0.16, 
## -0.15, -0.13, -0.13, -0.15, -0.16, -0.2, -0.15, -0.13, -0.15, 
## -0.16, -0.18, -0.16, -0.18, -0.2, -0.2, -0.2, -0.2, -0.2, -0.18, 
## -0.16, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.18, 
## -0.16, -0.18, -0.16, -0.2, -0.18, -0.21, -0.18, -0.2, -0.2, -0.18, 
## -0.18, -0.16, -0.16, -0.13, -0.13, -0.13, -0.13, -0.13, -0.16, 
## -0.16, -0.18, -0.18, -0.18, -0.16, -0.15, -0.16, -0.18, -0.16, 
## -0.18, -0.18, -0.2, -0.2, -0.18, -0.2, -0.18, -0.05, -0.03, 0.03, 
## 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, 
## 0, 0.02, 0.02, 0.03, -0.02, -0.03, 0, -0.02, -0.03, -0.07, -0.05, 
## -0.05, -0.03, -0.07, -0.03, -0.03, -0.03, -0.02, -0.02, -0.05, 
## -0.02, -0.03, 0.02, 0.02, 0, -0.03, 0.03, 0.03, 0.03, 0.02, -0.02, 
## 0.02, 0, 0, 0, 0.02, 0.03, 0.02, -0.02, -0.02, -0.02, 0, -0.03, 
## -0.05, -0.05, -0.07, -0.03, -0.02, -0.05, -0.07, -0.07, -0.07, 
## -0.07, -0.07, -0.07, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
## -0.05, -0.03, -0.05, 0.02, 0.02, 0, -0.02, -0.02, -0.05, -0.05, 
## -0.07, -0.05, -0.07, -0.07, -0.07, -0.03, -0.03, -0.05, -0.03, 
## -0.03, -0.03, -0.02, -0.02, -0.03, -0.02, 0, 0, 0.02, 0.02, -0.02, 
## -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.07, -0.05, -0.07, 
## -0.05, -0.07, -0.07, -0.07, -0.07, -0.07, -0.07, -0.05, -0.03, 
## -0.02, 0, 0, 0.02, 0.03, 0.03, 0.03, 0.02, 0.02, 0.03, -0.44, 
## -0.44, -0.46, -0.48, -0.44, -0.44, -0.46, -0.48, -0.48, -0.49, 
## -0.51, -0.46, -0.48, -0.46, -0.43, -0.44, -0.44, -0.41, -0.43, 
## -0.44, -0.44, -0.44, -0.44, -0.44, -0.44, -0.44, -0.44, -0.44, 
## -0.46, -0.46, -0.44, -0.44, -0.43, -0.38, -0.39, -0.43, -0.44, 
## -0.43, -0.44, -0.43, -0.43, -0.41, -0.44, -0.46, -0.43, -0.44, 
## -0.48, -0.48, -0.49, -0.44, -0.44, -0.44, -0.46, -0.46, -0.44, 
## -0.44, -0.46, -0.48, -0.48, -0.49, -0.49, -0.46, -0.48, -0.48, 
## -0.46, -0.44, -0.44, -0.44, -0.43, -0.41, -0.39, -0.39, -0.41, 
## -0.43, -0.43, -0.48, -0.46, -0.46, -0.46, -0.46, -0.46, -0.46, 
## -0.46, -0.46, -0.44, -0.44, -0.44, -0.44, -0.43, -0.41, -0.39, 
## -0.39, -0.39, -0.39, -0.39, -0.43, -0.43, -0.48, -0.46, -0.44, 
## -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.46, -0.44, -0.44, 
## -0.44, -0.44, -0.48, -0.48, -0.44, -0.44, -0.46, -0.48, 0, 0, 
## 0, 0, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0.02, 0, 0, 0, -0.02, -0.02, 
## 0, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 0.03, 0.03, 0, -0.02, -0.03, 
## -0.05, 0, -0.03, -0.02, -0.02, -0.05, -0.05, -0.05, -0.05, -0.05, 
## -0.03, -0.05, -0.05, -0.05, -0.05, -0.03, -0.05, -0.03, -0.05, 
## -0.03, -0.03, -0.05, -0.05, 0, -0.02, 0, -0.03, -0.03, -0.02, 
## -0.02, 0, 0, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, 0, 0, 0.03, -0.03, 0.02, -0.02, -0.02, -0.03, -0.02, -0.03, 
## -0.02, -0.02, -0.02, 0, 0, 0, 0, -0.05, -0.05, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.08, 
## -0.11, 0, 0.02, 0, -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, 
## -0.02, -0.05, -0.03, -0.03, -0.02, -0.03, 0, -0.03, 0, -0.02, 
## -0.02, 0.03, 0.02, -0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.05, -0.07, -0.05, -0.05, -0.05, 
## -0.05, -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.03, 
## -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
## 0, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.05, -0.05, 
## -0.05, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, 
## -0.05, -0.07, -0.1, -0.11, -0.13, -0.11, -0.1, -0.02, 0.02, -0.44, 
## -0.44, -0.44, -0.43, -0.44, -0.44, -0.43, -0.41, -0.43, -0.41, 
## -0.38, -0.38, -0.38, -0.41, -0.39, -0.41, -0.46, -0.46, -0.46, 
## -0.48, -0.46, -0.44, -0.46, -0.44, -0.44, -0.46, -0.46, -0.46, 
## -0.48, -0.46, -0.44, -0.46, -0.48, -0.46, -0.49, -0.49, -0.49, 
## -0.49, -0.51, -0.49, -0.48, -0.46, -0.44, -0.44, -0.44, -0.43, 
## -0.44, -0.44, -0.44, -0.41, -0.43, -0.43, -0.44, -0.46, -0.49, 
## -0.49, -0.49, -0.52, -0.41, -0.34, -0.34, -0.38, -0.38, -0.39, 
## -0.41, -0.41, -0.41, -0.41, -0.43, -0.43, -0.41, -0.41, -0.44, 
## -0.46, -0.43, -0.43, -0.44, -0.46, -0.48, -0.49, -0.48, -0.46, 
## -0.46, -0.44, -0.44, -0.44, -0.46, -0.49, -0.51, -0.51, -0.51, 
## -0.49, -0.49, -0.49, -0.48, -0.48, -0.46, -0.46, -0.44, -0.44, 
## -0.43, -0.46, -0.43, -0.41, -0.39, -0.41, -0.41, -0.41, -0.43, 
## -0.43, -0.43, -0.43, -0.44, -0.44, -0.46, -0.49, -0.46, -0.48, 
## -0.46, -0.43, -0.44, -0.43, -0.41, -0.41, -0.41, -0.41, -0.41, 
## -0.43, -0.44, -0.46, -0.44, -0.46, -0.46, -0.44, -0.43, -0.46, 
## -0.48, -0.48, -0.46, -0.46, -0.41, -0.44, -0.43, -0.48, -0.48, 
## -0.46, -0.46, -0.46, -0.46, -0.44, -0.44, -0.44, -0.43, -0.43, 
## -0.43, -0.43, -0.43, -0.44, -0.43, -0.44, -0.46, -0.46, -0.46, 
## -0.46, -0.48, -0.46, -0.46, -0.46, -0.46, -0.46, -0.46, -0.43, 
## -0.41, -0.41, -0.43, -0.41, -0.41, -0.41, -0.39, -0.39, -0.39, 
## -0.43, -0.46, -0.43, -0.43, -0.46, -0.48, -0.49, -0.51, -0.48, 
## -0.44, -0.43, -0.44, -0.43, -0.43, -0.44, -0.43, -0.41, -0.43, 
## -0.43, -0.43, -0.43, -0.46, -0.48, -0.48, -0.48, -0.46, -0.46, 
## -0.44, -0.43, -0.44, -0.44, -0.43, -0.44, -0.44, -0.44, -0.46, 
## -0.46, -0.48, -0.49, -0.51, -0.49, -0.49, -0.49, -0.49, -0.49, 
## -0.49, -0.48, -0.48, -0.46, -0.48, -0.48, -0.48, -0.48, -0.48, 
## -0.46, -0.46, -0.44, -0.43, -0.43, -0.41, -0.41, -0.39, -0.39, 
## -0.39, -0.38, -0.38, -0.39, -0.39, -0.41, -0.43, -0.43, -0.43, 
## -0.43, -0.43, -0.44, -0.46, -0.44, -0.48, -0.46, -0.44, -0.44, 
## -0.46, -0.43, -0.44, -0.44, -0.41, -0.41, -0.41, -0.39, -0.38, 
## -0.41, -0.41, -0.41, -0.39, -0.41, -0.43, -0.48, -0.46, -0.44, 
## -0.43, -0.41, -0.43, -0.43, -0.41, -0.41, -0.41, -0.41, -0.41, 
## -0.41, -0.43, -0.44, -0.46, -0.44, -0.46, -0.46, -0.46, -0.44, 
## -0.44, -0.48, -0.44, -0.46, -0.46, -0.44, -0.44, -0.44, -0.43, 
## -0.41, -0.39, -0.41, -0.44, -0.44, -0.44, -0.44, -0.43, -0.43, 
## -0.39, -0.44, -0.43, -0.48, -0.44, -0.51, -0.51, -0.44, -0.48, 
## -0.49, -0.46, -0.46, -0.48, -0.46, -0.46, -0.43, -0.43, -0.36, 
## -0.41, -0.41, -0.41, -0.46, -0.46, -0.49, -0.49, -0.48, -0.48, 
## -0.48, -0.48, -0.48, -0.49, -0.49, -0.39, -0.46, -0.41, -0.43, 
## -0.43, -0.43, -0.48, -0.48, -0.44, -0.49, -0.52, -0.49, -0.44, 
## -0.43, -0.43, -0.43, -0.43, -0.43, -0.43, -0.41, -0.41, -0.41, 
## -0.39, -0.38, -0.39, -0.49, -0.49, -0.51, -0.54, -0.61, -0.61, 
## -0.61, -0.57, -0.62, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, 
## -0.18, -0.16, -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.15, -0.16, -0.18, -0.18, -0.16, -0.16, -0.15, -0.15, 
## -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, 
## -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, -0.2, -0.13, -0.2, 
## -0.21, -0.2, -0.16, -0.16, -0.16, -0.15, -0.15, -0.16, -0.18, 
## -0.2, -0.2, -0.2, -0.18, -0.15, -0.15, -0.18, -0.21, -0.21, -0.21, 
## -0.2, -0.2, -0.16, -0.15, -0.15, -0.15, -0.15, -0.15, -0.16, 
## -0.18, -0.18, -0.21, -0.2, -0.2, -0.18, -0.18, -0.16, -0.16, 
## -0.16, -0.13, -0.11, -0.11, -0.15, -0.16, -0.15, -0.15, -0.15, 
## -0.15, -0.15, -0.15, -0.15, -0.15, -0.15, -0.13, -0.13, -0.15, 
## -0.16, -0.18, -0.2, -0.18, -0.18, -0.15, -0.16, -0.13, -0.16, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.15, -0.16, -0.2, -0.2, 
## -0.21, -0.21, -0.2, -0.2, -0.2, -0.23, -0.23, -0.2, -0.13, -0.13, 
## -0.11, -0.11, -0.13, -0.13, -0.15, -0.16, -0.2, -0.2, -0.21, 
## -0.21, -0.26, -0.25, -0.21, -0.18, -0.18, -0.15, -0.11, -0.1, 
## -0.13, -0.13, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, -0.13, 
## -0.13, -0.13, -0.11, -0.13, -0.13, -0.15, -0.15, -0.16, -0.16, 
## -0.16, -0.15, -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, -0.16, 
## -0.18, -0.18, -0.18, -0.16, -0.16, -0.2, -0.18, -0.2, -0.2, -0.21, 
## -0.23, -0.23, -0.21, -0.2, -0.16, -0.15, -0.16, -0.11, -0.11, 
## -0.1, -0.11, -0.13, -0.15, -0.15, -0.16, -0.16, -0.2, -0.2, -0.2, 
## -0.2, -0.2, -0.23, -0.18, -0.18, -0.16, -0.2, -0.2, -0.2, -0.15, 
## -0.16, -0.15, -0.13, -0.13, -0.13, -0.15, -0.15, -0.13, -0.16, 
## -0.16, -0.16, -0.18, -0.2, -0.21, -0.2, -0.2, -0.2, -0.16, -0.16, 
## -0.18, -0.18, -0.21, -0.23, -0.21, -0.21, -0.18, -0.16, -0.16, 
## -0.18, -0.16, -0.15, -0.13, -0.13, -0.15, -0.18, -0.18, -0.18, 
## -0.15, -0.16, -0.16, -0.16, -0.18, -0.15, -0.13, -0.18, -0.18, 
## -0.18, -0.16, -0.16, -0.18, -0.18, -0.2, -0.16, -0.16, -0.18, 
## -0.2, -0.25, -0.26, -0.23, -0.26, -0.26, -0.26, -0.18, -0.13, 
## -0.1, -0.03, -0.05, -0.07, -0.1, -0.13, -0.15, -0.15, -0.15, 
## -0.16, -0.16, -0.15, -0.16, -0.15, -0.02, -0.08, -0.13, -0.16, 
## -0.21, -0.23, -0.36, -0.43, -0.48, -0.49, -0.56, -0.57, -0.46, 
## -0.41, -0.2, -0.03, -0.05, -0.08, -0.1, -0.11, -0.26, -0.31, 
## -0.36, -0.39, -0.46, -0.33, 0, 0.25, 0.48, 0.64, 0.75, 0.89, 
## 0.97, 1.13, 0.84, 0.36, 0.31, 0.25, 0, -0.15, -0.2, -0.23, -0.26, 
## -0.3, -0.33, -0.38, -0.48, -0.52, -0.67, -0.75, -0.98, -1.07, 
## -1.15, -1.13, -1.12, -1.05, -0.95, -0.92, -0.84, -0.85, -0.82, 
## -0.77, -0.72, -0.66, -0.56, -0.26, -0.16, -0.07, 0.08, 0.11, 
## 0.16, 0.21, 0.28, 0.49, 0.54, 0.59, 0.66, 0.74, 0.8, 0.85, 0.95, 
## 1.05, 1.21, 1.36, 1.38, 1.44, 0.9, 0.49, 0.36, 0.31, 0.31, 0.26, 
## 0.05, 0.02, -0.05, -0.08, -0.18, -0.23, -0.28, -0.36, -0.46, 
## -0.61, -0.72, -0.77, -0.8, -0.84, -0.89, -0.95, -0.98, -0.92, 
## -0.94, -1, -1.07, -1.08, -1.1, -1.12, -1.1, -0.9, -0.62, -0.54, 
## 1.1, 1.05, 0.8, 0.57, 0.38, -0.02, -0.08, -0.26, -0.26, -0.49, 
## -0.59, -0.62, -0.77, -0.8, -0.98, -1.02, -1.12, -1.13, -1.15, 
## -1.03, -0.97, -1, -1.03, -0.75, -0.74, -0.72, -0.57, -0.46, -0.41, 
## -0.38, -0.28, -0.21, -0.2, -0.02, 0.11, 0.46, 0.52, 0.61, 0.67, 
## 0.75, 0.82, 0.87, 0.95, 1.03, 1.08, 1.13, 1.2, 1.2, 1.23, 1.28, 
## 1.28, 1.26, 1.31, 1.41, 1.51, 1.61, 1.62, 1.61, 0.95, 0.9, 0.77, 
## 0.49, 0.26, 0.11, -0.16, -0.18, -0.25, -0.39, -0.52, -0.57, -0.61, 
## -0.69, -0.74, -0.8, -0.82, -0.85, -0.85, -0.87, -0.85, -0.84, 
## -0.9, -0.98, -1, -1, -1.05, -1.1, -1.13, -1.15, -0.75, -0.79, 
## -0.64, -0.64, -0.52, -0.46, -0.39, -0.33, -0.28, -0.16, -0.05, 
## 0.11, 0.49, 0.56, 0.62, 0.71, 0.94, 0.98, 1.07, 1.1, 1.2, 1.25, 
## 1.33, 1.31, 1.28, 0.95, 0.84, 0.77, 0.52, 0.39, 0.1, 0.03, -0.02, 
## -0.08, -0.16, -0.21, -0.3, -0.38, -0.66, -0.74, -0.75, -0.82, 
## -0.85, -0.87, -0.89, -0.9, -0.94, -0.97, -1.05, -1.13, -1.08, 
## -1.05, -0.98, -0.95, -0.89, -0.82, -0.69, -0.62, -0.3, -0.18, 
## -0.05, 0.11, 0.21, 0.28, 0.34, 0.54, 0.59, 0.64, 0.72, 0.79, 
## 0.84, 0.95, 0.97, 0.98, 1.02, 1.05, 1.05, 1.08, 1.12, 1.16, 1.16, 
## 1, 0.85, 0.72, 0.71, 0.57, 0.52, 0.05, -0.16, -0.18, -0.36, -0.41, 
## -0.46, -0.52, -0.64, -0.74, -0.84, -0.87, -0.89, -1.1, -1.08, 
## -1.08, -1.07, -0.98, -0.92, -0.92, -0.85, -0.62, -0.57, -0.52, 
## -0.38, -0.23, -0.1, 0.05, 0.1, 0.21, 0.71, 0.77, 0.89, 0.89, 
## 0.94, 0.94, 0.9, 0.92, 0.95, 0.98, 1, 1.08, 1.16, 1.21, 1.02, 
## 0.9, 0.84, 0.51, 0.44, 0.39, 0.13, 0.05, -0.07, -0.07, -0.11, 
## -0.21, -0.39, -0.44, -0.48, -0.51, -0.61, -0.64, -0.75, -0.8, 
## -0.84, -0.92, -0.95, -1.13, -1.35, -1.33, -1.3, -1.2, -1.1, -1, 
## -0.77, -0.79, -0.71, -0.66, -0.49, -0.41, -0.34, -0.3, -0.23, 
## -0.15, 0.07, 0.25, 0.3, 0.39, 0.66, 0.71, 0.85, 0.87, 0.89, 0.98, 
## 0.98, 1, 1.08, 1.15, 1.23, 1.36, 1.33, 1.18, 1.03, 0.95, 0.87, 
## 0.71, 0.61, 0.44, 0.33, 0.02, -0.03, -0.1, -0.21, -0.23, -0.28, 
## -0.34, -0.39, -0.49, -0.54, -0.57, -0.61, -0.64, -0.8, -0.84, 
## -0.85, -0.82, -0.87, -0.92, -1, -1.05, -0.94, -0.89, -0.82, -0.66, 
## -0.59, -0.3, -0.2, -0.07, 0.02, 0.08, 0.16, 0.18, 0.21, 0.13, 
## 0.08, 0.08, 0.08, 0.11, 0.1, 0.1, 0.03, 0, 0, 0, -0.03, -0.03, 
## -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, 0, 0, 
## 0.03, 0.02, 0.02, 0.03, 0.03, 0.02, 0, 0, 0, -0.05, -0.05, -0.05, 
## -0.03, -0.03, -0.02, -0.03, -0.05, 0.02, 0.02, -0.05, -0.03, 
## -0.03, -0.02, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0, -0.02, -0.03, 
## -0.03, -0.03, -0.05, -0.03, -0.03, -0.02, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 0, -0.03, 
## -0.05, -0.03, -0.02, -0.03, 0.02, 0.03, 0.03, 0.02, 0, -0.02, 
## -0.03, -0.03, -0.03, -0.02, 0, -0.02, -0.02, 0, 0, 0, 0, -0.02, 
## -0.03, -0.05, -0.05, -0.03, -0.05, -0.05, -0.05, -0.05, -0.05, 
## -0.03, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, -0.02, -0.03, -0.02, 
## -0.02, -0.02, 0, -0.02, -0.05, -0.03, -0.05, -0.03, -0.03, -0.02, 
## 0, 0.02, 0.03, 0, 0, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, -0.02, -0.03, -0.02, -0.02, -0.02, -0.03, 
## -0.08, -0.08, -0.07, -0.05, -0.05, -0.03, -0.03, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 0, -0.05, -0.07, 
## -0.08, -0.07, -0.07, -0.05, 0.02, 0.03, 0.03, 0, -0.02, -0.03, 
## -0.02, -0.02, 0, 0, 0.02, 0, -0.02, -0.02, 0, -0.02, -0.02, -0.03, 
## -0.05, -0.07, -0.07, -0.03, -0.05, -0.05, -0.02, -0.03, -0.02, 
## -0.03, -0.02, -0.03, -0.05, -0.05, -0.03, -0.03, -0.05, -0.03, 
## -0.07, -0.05, -0.02, 0.02, 0, -0.03, -0.03, -0.02, 0, 0, 0, 0, 
## 0, -0.02, 0.02, 0.02, 0, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, 
## -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.05, -0.05, -0.03, 
## 0, -0.02, -0.02, -0.02, -0.02, -0.05, -0.05, -0.03, -0.02, -0.02, 
## 0, 0, 0, 0, 0, 0, -0.05, -0.07, -0.08, -0.08, -0.07, -0.05, -0.03, 
## -0.03, -0.02, -0.02, 0, 0, -0.02, -0.02, 0, 0, -0.02, -0.02, 
## -0.02, -0.02, 0, -0.02, -0.03, -0.03, 0, -0.02, 0, 0.02, 0, 0, 
## 0, 0.02, 0.02, 0.03, 0.03, 0, 0, -0.02, -0.03, -0.02, 0, 0, -0.03, 
## -0.03, -0.02, -0.03, -0.03, -0.05, -0.05, -0.07, -0.05, -0.02, 
## 0, 0, 0, 0, -0.02, -0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0.02, 
## 0.03, 0, -0.02, -0.02, -0.02, 0.02, 0, 0.03, 0, 0, -0.02, 0.02, 
## -0.02, -0.02, -0.03, -0.05, 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 
## 0.02, 0, -0.05, -0.03, -0.03, -0.02, 0.03, -0.02, 0.02, 0.02, 
## 0.03, 0.02, 0.02, -0.03, 0, 0.02, 0, -0.02, -0.02, -0.02, -0.03, 
## -0.05, -0.02, 0, 0, 0, 0, -0.02, 0, 0.02, 0, 0, 0, -0.02, -0.02, 
## -0.02, -0.03, -0.02, -0.02, -0.02, 0.05, 0.03, 0.02, 0.02, -0.02, 
## 0, 0, -0.02, 0, 0, 0, -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, 
## -0.02, 0, 0, 0, 0.03, 0, -0.03, -0.05, -0.02, 0, 0, 0, 0, 0, 
## 0.02, 0.02, 0, 0, 0, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
## 0.03, 0.03, 0, 0, -0.02, -0.02, -0.02, 0.02, -0.02, -0.02, 0.02, 
## 0.02, -0.03, -0.03, -0.03, 0.02, 0.02, 0.02, 0, -0.02, 0.03, 
## 0.03, 0.05, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.03, 
## -0.02, -0.02, -0.03, 0, 0, 0, 0.02, 0.02, 0, 0, 0, -0.02, -0.02, 
## -0.03, -0.05, -0.07, -0.05, -0.05, -0.03, 0.02, 0.05, 0.03, 0, 
## 0, 0.02, 0.05, 0.02, 0, 0, 0, 0.03, 0, -0.03, -0.03, 0, 0, -0.03, 
## -0.05, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.02, -0.02, -0.03, 
## -0.05, -0.03, -0.03, 0, 0.02, 0, 0, -0.02, 0, 0.02, 0, 0, 0.02, 
## 0.02, 0.02, 0.02, 0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, 
## -0.02, -0.02, 0, 0, 0, 0, -0.02, 0, 0.02, 0, -0.05, -0.05, -0.03, 
## -0.03, -0.02, 0, -0.02, 0, 0.02, 0.03, 0.05, 0.05, 0.03, 0.03, 
## 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, -0.05, -0.07, -0.02, 0.02, 
## 0.02, 0.03, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 
## -0.07, -0.03, -0.02, 0, 0.02, 0.03, 0, 0, -0.02, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, 
## -0.02, -0.03, -0.03, 0, 0, -0.03, -0.02, -0.02, -0.03, -0.03, 
## -0.05, -0.02, -0.02, -0.02, -0.03, -0.02, 0, 0.03, 0.02, -0.05, 
## -0.03, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 
## 0.02, 0, 0, 0, -0.02, 0, -0.02, 0, 0.02, 0, 0, -0.02, -0.02, 
## 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 
## 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0.02, 
## 0, 0, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 0, -0.02, 
## -0.03, -0.02, -0.03, -0.03, -0.03, -0.02, -0.08, -0.05, -0.07, 
## -0.08, -0.08, -0.07, -0.05, -0.02, -0.02, -0.02, -0.02, 0, 0.03, 
## 0.07, 0.11, 0.15, 0.18, 0.2, 0.2, 0.2, 0.23, 0.21, 0.1, -0.13, 
## -0.15, -0.15, -0.15, -0.13, -0.15, -0.16, -0.16, -0.15, -0.1, 
## -0.07, 0.02, -0.02, -0.08, -0.07, -0.02, -0.02, 0.03, 0.02, 0.02, 
## -0.03, 0, -0.02, -0.02, 0.02, 0, 0, 0, 0, 0, 0, 0.02, -0.18, 
## -0.18, -0.2, -0.2, -0.18, -0.16, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.16, -0.16, -0.16, -0.16, -0.15, -0.13, -0.13, -0.15, 
## -0.16, -0.16, -0.15, -0.15, -0.16, -0.16, -0.16, -0.16, -0.18, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.18, -0.2, -0.18, -0.2, 
## -0.18, -0.18, -0.18, -0.16, -0.2, -0.2, -0.18, -0.18, -0.18, 
## -0.18, -0.15, -0.15, -0.15, -0.13, -0.15, -0.16, -0.18, -0.18, 
## -0.16, -0.16, -0.15, -0.15, -0.15, -0.15, -0.16, -0.2, -0.2, 
## -0.2, -0.18, -0.16, -0.16, -0.16, -0.15, -0.18, -0.16, -0.18, 
## -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.2, -0.21, 
## -0.21, -0.18, -0.16, -0.11, -0.11, -0.11, -0.13, -0.15, -0.15, 
## -0.16, -0.18, -0.2, -0.18, -0.18, -0.18, -0.16, -0.16, -0.15, 
## -0.16, -0.15, -0.15, -0.16, -0.18, -0.16, -0.16, -0.15, -0.16, 
## -0.15, -0.15, -0.15, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, -0.18, -0.13, 
## -0.15, -0.16, -0.15, -0.13, -0.13, -0.13, -0.13, -0.15, -0.13, 
## -0.13, -0.13, -0.15, -0.15, -0.15, -0.13, -0.13, -0.13, -0.15, 
## -0.15, -0.15, -0.15, -0.16, -0.16, -0.18, -0.18, -0.16, -0.16, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.2, -0.18, -0.18, -0.16, 
## -0.16, -0.16, -0.16, -0.18, -0.16, -0.16, -0.16, -0.16, -0.18, 
## -0.21, -0.18, -0.16, -0.16, -0.16, -0.16, -0.2, -0.2, -0.2, -0.18, 
## -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, -0.18, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, -0.2, 
## -0.18, -0.18, -0.18, -0.16, -0.15, -0.15, -0.15, -0.13, -0.15, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.15, -0.13, -0.13, -0.13, 
## -0.13, -0.15, -0.18, -0.18, -0.18, -0.2, -0.2, -0.16, -0.2, -0.18, 
## -0.15, -0.15, -0.15, -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, 
## -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.2, 
## -0.2, -0.18, -0.18, -0.2, -0.2, -0.18, -0.15, -0.11, -0.1, -0.08, 
## -0.1, -0.13, -0.16, -0.16, -0.18, -0.16, -0.16, -0.18, -0.16, 
## -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, 
## -0.18, -0.18, -0.25, -0.25, -0.18, -0.18, -0.2, -0.18, -0.15, 
## -0.15, -0.15, -0.16, -0.16, -0.18, -0.16, -0.16, -0.18, -0.16, 
## -0.15, -0.16, -0.18, -0.15, -0.13, -0.08, -0.05, -0.03, -0.03, 
## -0.03, -0.05, -0.03, 0, -0.07, 0.11, 0.15, 0.15, 0.11, 0.11, 
## 0.15, 0.16, 0.15, 0.11, -0.11, -0.15, -0.11, -0.33, -0.34, -0.41, 
## -0.38, -0.36, -0.3, -0.26, -0.25, -0.23, -0.08, -0.07, -0.05, 
## -0.05, -0.08, -0.25, -0.36, -0.28, -0.33, -0.31, -0.26, -0.28, 
## -0.28, -0.26, -0.26, -0.28, -0.18, -0.2, -0.18, -0.16, -0.18, 
## -0.05, -0.1, -0.25, -0.23, -0.23, -0.3, -0.36, -0.39, -0.34, 
## -0.03, -0.2, -0.2, -0.18, -0.2, -0.2, -0.2, -0.18, -0.18, -0.16, 
## -0.15, -0.15, -0.15, -0.13, -0.13, -0.15, -0.15, -0.16, -0.16, 
## -0.16, -0.15, -0.15, -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, 
## -0.18, -0.2, -0.21, -0.11, -0.11, -0.13, -0.11, -0.11, -0.11, 
## -0.16, -0.2, -0.21, -0.23, -0.21, -0.21, -0.21, -0.18, -0.18, 
## -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
## -0.16, -0.15, -0.15, -0.13, -0.13, -0.15, -0.15, -0.16, -0.21, 
## -0.23, -0.18, -0.18, -0.16, -0.18, -0.13, -0.15, -0.16, -0.16, 
## -0.18, -0.18, -0.18, -0.16, -0.16, -0.15, -0.13, -0.13, -0.16, 
## -0.18, -0.18, -0.18, -0.15, -0.15, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.18, -0.2, -0.2, -0.18, -0.18, -0.2, -0.18, -0.16, -0.16, 
## -0.16, -0.15, -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, -0.16, 
## -0.16, -0.2, -0.2, -0.18, -0.18, -0.18, -0.16, -0.18, -0.18, 
## -0.18, -0.18, -0.18, -0.15, -0.13, -0.15, -0.15, -0.16, -0.16, 
## -0.18, -0.2, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, 
## -0.16, -0.16, -0.15, -0.2, -0.21, -0.2, -0.18, -0.1, -0.16, -0.23, 
## -0.23, -0.2, -0.2, -0.21, -0.15, -0.15, -0.16, -0.36, -0.38, 
## -0.33, -0.16, -0.13, -0.05, -0.05, -0.11, -0.16, -0.21, -0.23, 
## -0.16, -0.16, -0.11, -0.2, -0.2, -0.18, -0.16, -0.18, -0.2, -0.16, 
## -0.15, -0.15, -0.11, -0.13, -0.1, -0.13, -0.15, -0.18, -0.16, 
## -0.16, -0.16, -0.18, -0.18, -0.18, -0.16, -0.2, -0.21, -0.21, 
## -0.2, -0.2, -0.2, -0.2, -0.18, -0.15, -0.08, -0.15, -0.15, -0.16, 
## -0.16, -0.13, -0.13, -0.15, -0.15, -0.15, -0.15, -0.16, -0.15, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.15, -0.18, -0.2, -0.16, 
## -0.16, -0.16, -0.16, -0.16, -0.18, -0.2, -0.2, -0.2, -0.16, -0.16, 
## -0.23, -0.26, -0.23, -0.21, -0.21, -0.2, -0.18, -0.2, -0.21, 
## -0.2, -0.21, -0.2, -0.2, -0.18, -0.18, -0.13, -0.13, -0.13, -0.13, 
## -0.13, -0.11, -0.13, -0.15, -0.15, -0.16, -0.18, -0.18, -0.18, 
## -0.18, -0.16, -0.18, -0.18, -0.18, -0.2, -0.2, -0.18, -0.21, 
## -0.2, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.18, -0.18, 
## -0.18, -0.2, -0.2, -0.2, -0.2, -0.15, -0.15, -0.15, -0.11, -0.1, 
## -0.13, -0.11, -0.15, -0.15, -0.15, -0.15, -0.15, -0.2, -0.2, 
## -0.16, -0.15, -0.15, -0.15, -0.15, -0.18, -0.16, -0.18, -0.18, 
## -0.16, -0.16, -0.18, -0.18, -0.16, -0.16, -0.15, -0.16, -0.16, 
## -0.18, -0.18, -0.16, -0.18, -0.16, -0.16, -0.15, -0.15, -0.15, 
## -0.15, -0.13, -0.15, -0.13, -0.15, -0.15, -0.18, -0.2, -0.2, 
## -0.18, -0.15, -0.13, -0.13, -0.13, -0.16, -0.2, -0.18, -0.16, 
## -0.13, -0.18, -0.18, -0.18, -0.18, -0.18, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.18, -0.2, -0.2, -0.18, -0.15, -0.11, -0.11, 
## -0.13, -0.11, -0.11, -0.13, -0.15, -0.16, -0.16, -0.15, -0.15, 
## -0.13, -0.15, -0.13, -0.13, -0.16, -0.16, -0.18, -0.16, -0.16, 
## -0.16, -0.18, -0.2, -0.2, -0.18, -0.2, -0.2, -0.18, -0.2, -0.18, 
## -0.18, -0.18, -0.18, -0.21, -0.2, -0.16, -0.18, -0.16, -0.2, 
## -0.18, -0.2, -0.2, -0.18, -0.16, -0.16, -0.16, -0.16, -0.16, 
## -0.16, -0.16, -0.18, -0.2, -0.2, -0.2, -0.18, -0.18, -0.16, -0.16, 
## -0.15, -0.15, -0.16, -0.16, -0.16, -0.18, -0.2, -0.18, -0.16, 
## -0.16, -0.16, -0.15, -0.16, -0.16, -0.18, -0.18, -0.18, -0.18, 
## -0.16, -0.2, -0.2, -0.16, -0.16, -0.16, -0.18, -0.18, -0.2, -0.18, 
## -0.18, -0.18, -0.16, -0.16, -0.15, -0.16, -0.2, -0.2, -0.18, 
## -0.18, -0.2, -0.15, -0.15, -0.16, -0.18, -0.16, -0.16, -0.16, 
## -0.18, -0.16, -0.16, -0.16, -0.15, -0.2, -0.2, -0.16, -0.18, 
## -0.16, -0.15, -0.16, -0.16, -0.16, -0.15, -0.16, -0.13, -0.11, 
## -0.1, -0.05, -0.02, 0, 0.02, 0.03, 0.03, 0.02, -0.02, 0, 0.02, 
## 0.02, 0, 0, -0.02, -0.02, -0.03, -0.02, -0.02, 0.02, 0, 0, 0, 
## 0, 0.03, 0.05, 0, 0.02, 0.02, 0.02, -0.03, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.05, -0.02, 0, 0, 
## -0.02, -0.03, -0.02, 0.02, 0.02, 0.02, 0, 0, 0.03, 0.03, 0.02, 
## -0.05, -0.05, -0.03, -0.02, 0, 0, 0, 0.02, 0.02, 0, -0.02, 0.02, 
## 0.02, 0, 0, 0, -0.05, -0.05, -0.02, -0.02, 0, 0.03, 0.03, 0.02, 
## 0.03, 0, 0.05, 0.05, 0, 0.02, 0, -0.03, -0.03, -0.03, 0, 0, -0.03, 
## -0.03, -0.02, -1.12, -1.07, -1.03, -1, -0.62, -0.54, -0.43, -0.41, 
## -0.02, 0.11, 0.16, 0.25, 0.34, 0.52, 0.98, 1.05, 1.12, 1.13, 
## 1.2, 1.26, 1.2, 1.05, 0.33, 0.15, 0.07, 0.02, -0.02, -0.11, -0.25, 
## -0.33, -0.43, -0.52, -0.69, -0.74, -0.77, -0.8, -0.87, -0.87, 
## -0.89, -0.89, -0.92, -0.94, -1, -1.05, -1.05, -0.9, -0.89, -0.8, 
## -0.74, -0.71, -0.64, -0.57, -0.52, -0.51, -0.28, -0.21, -0.16, 
## 0.1, 0.16, 0.2, 0.23, 0.3, 0.39, 0.46, 0.69, 0.77, 0.87, 1.05, 
## 1.12, 1.18, 1.16, 1.15, 1.28, 1.31, 1.33, 1.38, 1.2, 0.28, 0.23, 
## -0.15, -0.28, -0.43, -0.44, -0.44, -0.48, -0.49, -0.52, -0.59, 
## -0.62, -0.69, -0.74, -0.8, -0.84, -0.85, -0.95, -1.12, -1.12, 
## -1.08, -1.02, -0.98, -0.95, -0.94, -0.43, -0.34, -0.21, -0.03, 
## 0.05, 0.16, 0.23, 0.26, 0.41, 0.51, 0.59, 0.79, 1.02, 1.03, 1.07, 
## 1.13, 1.26, 1.3, 1.33, 1.39, 1.18, 0.97, 0.79, 0.67, 0.61, 0.56, 
## -0.44, -0.44, -0.44, -0.44, -0.44, -0.44, -0.46, -0.46, -0.49, 
## -0.49, -0.49, -0.51, -0.51, -0.49, -0.49, -0.48, -0.49, -0.49, 
## -0.49, -0.49, -0.48, -0.43, -0.43, -0.43, -0.43, -0.43, -0.48, 
## -0.48, -0.49, -0.46, -0.41, -0.38, -0.39, -0.39, -0.41, -0.41, 
## -0.41, -0.41, -0.43, -0.44, -0.44, -0.48, -0.46, -0.44, -0.48, 
## -0.48, -0.48, -0.48, -0.49, -0.46, -0.49, -0.48, -0.49, -0.49, 
## -0.49, -0.46, -0.44, -0.44, -0.43, -0.46, -0.44, -0.44, -0.43, 
## -0.49, -0.48, -0.48, -0.44, -0.44, -0.44, -0.44, -0.46, -0.44, 
## -0.43, -0.43, -0.43, -0.41, -0.43, -0.44, -0.43, -0.44, -0.44, 
## -0.44, -0.44, -0.46, -0.48, -0.46, -0.44, -0.05, -0.03, -0.05, 
## -0.05, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, -0.05, 
## -0.05, -0.07, -0.07, -0.05, -0.05, -0.05, -0.05, -0.03, -0.02, 
## 0, 0, -0.02, -0.03, -0.03, -0.02, 0.02, 0.02, 0.02, -0.03, -0.02, 
## 0, 0, 0, 0.02, 0.03, 0, 0.02, 0.02, 0, -0.02, 0, -0.02, -0.03, 
## -0.02, -0.03, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
## 0.05, 0.08, 0.13, 0.15, 0.33, 0.1, -0.02, -0.07, -0.23, -0.15, 
## -0.77, -0.18, -0.03, -0.28, -0.28, -0.44, -0.41, -0.33, -0.3, 
## -0.33, -0.2, -0.21, -0.15, -0.11, -0.07, -0.05, 0, 0, -0.03, 
## -0.03, 0.02, 0.03, 0.03, 0.03, 0, 0, -0.02, -0.02, -0.03, -0.02, 
## -0.02, 0.02, 0, 0, -0.56, -0.56, -0.54, -0.52, -0.52, -0.51, 
## -0.36, -0.3, -0.28, -0.25, -0.18, -0.16, -0.15, -0.15, -0.15, 
## -0.11, -0.11, -0.13, -0.15, -0.15, -0.13, -0.1, -0.07, 0.08, 
## 0.08, 0.07, 0.13, 0.23, 0.33, 0.44, 0.36, 0.36, 0.16, 0.08, 0.13, 
## 0.13, 0.05, 0.07, 0.05, -0.02, -0.03, -0.1, -0.15, -0.13, -0.2, 
## -0.2, -0.2, -0.28, -0.3, -0.34, -0.43, -0.57, -0.66, -0.67, -0.72, 
## -0.74, -0.71, -0.69, -0.67, -0.59, -0.52, -0.48, -0.44, -0.46, 
## -0.52, -0.54, -0.54, -0.54, -0.31, -0.3, -0.25, -0.07, 0.02, 
## 0.13, 0.18, 0.16, 0.13, 0.11, -0.16, -0.2, -0.2, -0.21, -0.21, 
## -0.2, -0.16, -0.15, -0.13, -0.07, 0.02, 0.2, 0.23, 0.13, 0.02, 
## 0, -0.03, -0.08, -0.11, -0.18, -0.28, -0.33, -0.36, -0.41, -0.54, 
## -0.46, -0.44, -0.41, -0.36, -0.16, -0.18, -0.11, -0.03, -0.03, 
## 0.15, 0.15, 0.16, 0.18, 0.21, 0.2, 0.2, 0.2, 0.26, 0.3, 0.31, 
## 0.28, 0.3, 0.3, 0.13, 0.07, 0.34, 0.44, 0.31, 0.28, 0.2, 0.21, 
## 0.2, 0, -0.02, -0.07, -0.11, -0.3, -0.21, -0.21, -0.3, -0.3, 
## -0.23, -0.13, -0.1, -0.08, -0.07, -0.02, -0.02, 0.26, 0.49, 0.49, 
## 0.49, 0.39, 0.36, 0.33, 0.3, 0.3, 0.26, 0.2, 0.15, 0.02, 0.07, 
## 0.18, 0.2, 0.18, 0.03, -0.13, -0.23, -0.26, -0.28, -0.39, -0.44, 
## -0.46, -0.48, -0.49, -0.52, -0.54, -0.52, -0.59, -0.69, -0.72, 
## -0.56, -0.49, -0.49, -0.43, -0.34, -0.28, -0.26, -0.15, -0.16, 
## -0.13, -0.11, 0.05, 0.05, 0.05, 0.07, 0.07, 0.07, 0.08, 0.08, 
## 0.11, 0.15, 0.2, 0.26, 0.33, 0.41, 0.44, 0.57, 0.61, 0.69, 0.72, 
## 0.69, 0.66, 0.59, 0.56, 0.44, 0.39, 0.36, 0.31, 0.3, 0.25, 0.13, 
## 0.08, 0.11, 0.13, 0.15, 0.15, 0.18, 0.13, 0.13, 0.1, -0.15, -0.2, 
## -0.26, -0.41, -0.41, -0.41, -0.48, -0.52, -0.54, -0.56, -0.56, 
## -0.46, -0.64, -0.41, -0.33, -0.33, -0.3, -0.28, -0.26, -0.26, 
## -0.25, -0.23, -0.25, -0.25, -0.13, -0.1, -0.07, -0.05, -0.05, 
## -0.02, -0.02, 0, 0.03, 0.08, 0.21, 0.3, 0.41, 0.51, 0.61, 0.8, 
## 0.79, 0.79, 0.44, 0.41, 0.43, 0.39, 0.33, 0.3, 0.3, 0.31, 0.3, 
## 0.07, 0.15, 0.13, 0.11, 0, -0.07, -0.11, -0.23, -0.28, -0.33, 
## -0.36, -0.38, -0.36, -0.41, -0.52, -0.52, -0.54, -0.57, -0.56, 
## -0.54, -0.52, -0.51, -0.48, -0.41, -0.36, -0.31, -0.28, -0.16, 
## -0.16, -0.15, -0.08, -0.05, 0, -0.02, 0.05, 0.08, -0.23, -0.28, 
## -0.34, -0.38, -0.46, -0.44, -0.43, -0.44, -0.49, -0.51, -0.52, 
## -0.56, -0.48, -0.44, -0.39, -0.36, -0.16, -0.16, -0.03, 0.05, 
## 0.1, 0.2, 0.44, 0.59, 0.59, 0.62, 0.64, 0.64, 0.48, 0.07, 0.03, 
## -0.02, -0.02, 0.07, 0.07, 0.07, 0.03, -0.05, -0.18, -0.25, -0.31, 
## -0.38, -0.38, -0.44, -0.44, -0.44, -0.49, -0.51, -0.52, -0.52, 
## -0.51, -0.52, -0.54, -0.72, -0.61, -0.46, -0.34, -0.33, -0.18, 
## -0.07, -0.05, -0.03, -0.03, 0.02, 0.02, 0.03, 0.11, 0.13, 0.16, 
## 0.34, 0.49, 0.52, 0.52, 0.52, 0.54, 0.54, 0.49, 0.39, 0.28, 0.3, 
## 0.31, 0.25, 0.2, 0.18, 0.15, 0.13, 0.13, 0.1, 0.05, -0.07, -0.03, 
## 0, 0.02, 0.07, 0.08, 0.11, 0.15, 0.2, 0.23, 0.28, 0.34, 0.59, 
## 0.67, 0.67, 0.71, 0.69, 0.67, 0.62, 0.56, 0.48, 0.44, 0.41, 0.39, 
## 0.36, 0.25, 0.21, 0.2, 0.23, 0.21, 0.2, 0.16, 0.13, 0.16, 0.05, 
## 0.03, -0.02, -0.16, -0.3, -0.52, -0.56, -0.59, -0.62, -0.64, 
## -0.62, -0.62, -0.64, -0.54, -0.56, -0.57, -0.61, -0.62, -0.52, 
## -0.43, -0.36, -0.3, -0.31, 0.05, 0.08, 0.11, 0.13, 0.2, 0.23, 
## 0.26, 0.43, 0.54, 0.56, 0.56, 0.57, 0.71, 0.79, 0.8, 0.74, 0.79, 
## 0.79, 0.52, 0.39, 0.26, 0.15, 0.15, -0.1, -0.25, -0.31, -0.39, 
## -0.49, -0.54, -0.57, -0.62, -0.61, -0.59, -0.56, -0.57, -0.57, 
## -0.57, -0.56, -0.46, -0.49, -0.54, -0.59, -0.62, -0.3, -0.31, 
## -0.26, -0.2, -0.15, -0.11, -0.07, 0, 0.05, 0.07, 0.11, 0.21, 
## 0.33, 0.38, 0.39, 0.39, 0.43, 0.48, 0.48, 0.56, 0.59, 0.64, 0.66, 
## 0.64, 0.64, 0.61, 0.56, 0.54, 0.51, 0.52, 0.57, 0.57, 0.52, 0.18, 
## 0.11, 0.08, -0.02, -0.07, -0.13, -0.26, -0.31, -0.33, -0.39, 
## -0.43, -0.44, -0.46, -0.54, -0.51, -0.52, -0.52, -0.51, -0.44, 
## -0.43, -0.48, -0.54, -0.51, -0.39, -0.33, -0.31, -0.16, -0.16, 
## -0.16, -0.08, -0.08, -0.05, -0.05, -0.1, -0.07, -0.05, -0.05, 
## -0.03, 0, 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.03, -0.02, 0, 0, -0.02, 0, 0, 0, -0.02, 
## -0.03, -0.03, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0, 0.02, 0, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 
## 0, 0, 0.02, 0.07, 0.08, 0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, -0.05, 
## -0.05, -0.03, -0.03, -0.05, -0.07, -0.07, -0.05, -0.05, -0.07, 
## -0.05, -0.05, -0.07, -0.07, -0.07, -0.69, -0.61, -0.34, 0.16, 
## 0.23, 0.28, 0.44, 0.46, 0.31, 0.02, 0.02, -0.05, -0.07, -0.08, 
## -0.02, -0.02, -0.08, -0.03, -0.05, -0.1, -0.23, -0.8, -0.85, 
## -1, -1.05, -0.97, -1.15, -0.89, -0.64, -0.59, -0.48, -0.46, -0.38, 
## -0.34, -0.41, -0.43, -0.41, -0.39, -0.33, 0.05, 0.08, 0.13, 0.11, 
## 0.11, 0.16, 0.21, 0.07, -0.33, -0.41, -0.46, -0.49, -0.51, -0.43, 
## -0.23, -0.21, -0.43, -0.48, -0.66, -0.69, -0.79, -0.82, -0.84, 
## -0.89, -0.97, -0.97, -1, -1.2, -1.15, -0.94, -0.87, -0.71, -0.71, 
## -0.48, -0.46, -0.43, -0.39, -0.39, -0.41, -0.43, -0.44, -0.39, 
## -0.39, -0.34, -0.26, -0.21, -0.16, -0.13, -0.1, -0.05, -0.03, 
## -0.02, -0.02, 0.03, 0.07, 0.15, 0.05, -0.05, -0.23, -0.39, -0.41, 
## -0.38, -0.11, -0.11, -0.34, -0.41, -0.49, -0.57, -0.82, -0.84, 
## -1, -0.98, -1.03, -1.12, -1.18, -1.15, -1.07, -0.98, -0.97, -0.98, 
## -0.77, -0.71, -0.67, -0.61, -0.38, -0.23, -0.21, -0.2, -0.2, 
## -0.16, -0.11, 0.03, 0.11, 0.31, 0.48, 0.49, 0.49, 0.46, 0.43, 
## 0.44, 0.48, 0.43, 0.48, 0.56, 0.57, 0.36, 0.28, 0.23, 0.21, 0.23, 
## 0.08, 0.05, 0.03, 0, -0.05, -0.08, -0.21, -0.25, -0.41, -0.43, 
## -0.46, -0.49, -0.77, -0.79, -0.8, -0.72, -0.71, -0.67, -0.49, 
## -0.56, -0.52, -0.57, -0.61, -0.52, -0.48, -0.49, -0.44, -0.41, 
## -0.36, -0.34, -0.34, -0.31, -0.21, -0.15, -0.15, -0.13, -0.11, 
## -0.07, 0, 0.26, 0.33, 0.38, 0.49, 0.36, 0.39, 0.39, 0.28, 0.34, 
## 0.34, 0.25, 0.23, 0.2, 0.15, 0.11, 0.16, 0.16, 0.16, 0.2, 0.16, 
## 0.1, 0.08, 0.1, 0.13, -0.18, -0.23, -0.33, -0.41, -0.46, -0.49, 
## -0.54, -0.57, -0.95, -0.84, -0.79, -0.77, -0.74, -0.72, -0.71, 
## -0.67, -0.66, -0.62, -0.61, -0.62, -0.61, -0.56, -0.52, -0.49, 
## -0.31, -0.36, -0.33, -0.43, -0.3, -0.23, -0.15, -0.03, 0.02, 
## 0.1, 0.13, 0.2, 0.3, 0.33, 0.38, 0.38, 0.34, 0.33, 0.34, 0.36, 
## 0.34, 0.34, 0.33, 0.28, 0.28, 0.25, 0.25, 0.2, 0.13, 0.07, 0.05, 
## 0.05, 0, 0, -0.05, -0.11, -0.13, -0.16, -0.18, -0.21, -0.25, 
## -0.26, -0.26, -0.3, -0.36, -0.38, -0.52, -0.59, -0.64, -0.66, 
## -0.69, -0.69, -0.66, -0.66, -0.67, -0.69, -0.67, -0.66, -0.62, 
## -0.61, -0.62, -0.64, -0.59, -0.54, -0.56, -0.54, -0.51, -0.41, 
## -0.38, -0.36, -0.34, -0.34, -0.3, 0.03, 0.08, 0.07, 0.03, -0.03, 
## -0.07, -0.07, -0.05, 0.02, 0.03, 0.11, 0.2, 0.2, 0.13, 0.07, 
## 0.08, 0.1, 0.1, 0.08, 0.07, 0.13, 0.23, 0.23, 0.3, 0.33, 0.31, 
## 0.28, 0.26, 0.28, 0.23, 0.18, 0.18, 0.25, 0.15, 0.08, 0.07, -0.02, 
## -0.23, -0.28, -0.28, -0.25, -0.28, -0.38, -0.38, -0.46, -0.51, 
## -0.56, -0.62, -0.66, -0.67, -0.71, -0.71, -0.77, -0.82, -0.84, 
## -0.85, -0.8, -0.82, -0.79, -0.8, -0.72, -0.71, -0.59, -0.44, 
## -0.34, -0.21, -0.23, -0.2, -0.16, -0.08, -0.02, 0.03, 0.07, 0.08, 
## 0.18, 0.25, 0.28, 0.36, 0.34, 0.36, 0.36, 0.43, 0.31, 0.26, 0.16, 
## 0.18, 0.25, 0.3, 0.38, 0.25, 0.26, 0.3, 0.3, 0.33, 0.11, 0.1, 
## 0.03, -0.02, -0.08, -0.13, -0.16, -0.21, -0.26, -0.3, -0.33, 
## -0.41, -0.43, -0.44, -0.66, -0.74, -0.8, -0.89, -0.9, -0.9, -0.9, 
## -0.92, -0.87, -0.84, -0.74, -0.74, -0.61, -0.64, -0.72, -0.64, 
## -0.51, -0.49, -0.56, -0.15, -0.05, 0.07, 0.16, 0.18, 0.2, 0.23, 
## 0.33, 0.39, 0.43, 0.51, 0.57, 0.57, 0.56, 0.48, 0.39, 0.3, 0.36, 
## 0.31, 0.26, 0.21, 0.25, 0.23, 0.36, 0.3, 0.15, 0.11, 0.13, 0.11, 
## 0.1, 0.05, 0.07, 0.13, 0.11, 0.02, -0.13, -0.15, -0.18, -0.25, 
## -0.25, -0.31, -0.39, -0.38, -0.36, -0.34, -0.41, -0.56, -0.61, 
## -0.64, -0.74, -0.79, -0.84, -0.9, -0.9, -0.9, -0.9, -0.98, -0.97, 
## -0.97, -0.87, -0.84, -0.85, -0.82, -0.82, -0.92, -1, -0.98, -0.89, 
## -0.59, -0.41, -0.13, -0.11, -0.11, 0.25, 0.3, 0.38, 0.39, 0.38, 
## 0.38, 0.39, 0.56, 0.49, 0.46, 0.41, 0.36, 0.36, 0.34, 0.36, 0.34, 
## 0.36, 0.41, 0.43, 0.38, 0.38, 0.52, 0.46, 0.25, 0.08, -0.1, -0.15, 
## -0.16, -0.2, -0.13, -0.18, -0.21, -0.23, -0.33, -0.38, -0.44, 
## -0.46, -0.57, -0.56, -0.64, -0.66, -0.54, -0.66, -0.77, -0.8, 
## -0.84, -0.87, -0.87, -0.8, -0.98, -0.97, -0.94, -0.79, -0.62, 
## -0.41, -0.21, -0.21, -0.1, -0.07, 0.03, 0.08, 0.13, 0.13, 0.13, 
## 0.2, 0.2, 0.18, 0.21, 0.26, 0.33, 0.38, 0.39, 0.43, 0.44, 0.46, 
## 0.49, -0.43, -0.46, -0.49, -0.52, -0.56, -0.61, -0.69, -0.74, 
## -0.77, -0.8, -0.8, -0.8, -0.89, -0.85, -0.82, -0.66, -0.66, -0.66, 
## -0.67, -0.66, -0.62, -0.57, -0.52, -0.56, -0.54, -0.33, -0.16, 
## -0.11, -0.08, -0.05, -0.02, 0.07, 0.08, 0.08, 0.11, 0.11, 0.15, 
## 0.23, 0.26, 0.3, 0.3, 0.34, 0.41, 0.48, 0.67, 0.66, 0.66, 0.33, 
## 0.26, 0.21, 0.26, 0.25, 0.11, 0.18, 0.2, 0.15, -0.03, -0.07, 
## -0.2, -0.28, -0.33, -0.41, -0.41, -0.41, -0.52, -0.62, -0.79, 
## -0.82, -0.79, -0.75, -0.75, -0.74, -0.72, -0.61, -0.59, -0.51, 
## -0.51, -0.49, -0.51, -0.44, -0.44, -0.36, -0.26, -0.02, 0.05, 
## 0.07, 0.1, 0.1, 0.13, 0.15, 0.16, 0.23, 0.23, 0.25, 0.3, 0.38, 
## 0.44, 0.66, 0.57, 0.13, 0.1, 0.07, 0.11, 0.13, 0.13, 0.25, 0.2, 
## 0.08, -0.02, 0, 0.02, 0.02, -0.05, -0.08, -0.07, -0.03, 0, -0.07, 
## -0.15, -0.18, -0.43, -0.49, -0.56, -0.61, -0.71, -0.75, -0.75, 
## -1.02, -0.98, -1.03, -1.03, -1.02, -1, -0.79, -0.69, -0.49, -0.43, 
## -0.33, -0.21, -0.16, -0.16, -0.13, -0.05, -0.07, -0.03, 0.03, 
## 0.03, -0.05, -0.1, -0.03, -0.05, -0.07, -0.05, -0.02, 0, 0, -0.02, 
## 0, 0, -0.03, -0.03, -0.03, -0.07, -0.08, -0.07, -0.11, -0.21, 
## -0.11, -0.1, -0.08, -0.18, -0.23, -0.3, -0.44, -0.48, -0.31, 
## -0.23, -0.02, 0.03, 0.03, 0, 0.05, 0.11, 0.03, 0.02, 0.02, -0.05, 
## -0.11, -0.11, -0.13, -0.13, -0.23, -0.21, -0.13, -0.08, -0.16, 
## -0.25, -0.25, -0.21, -0.2, -0.2, -0.18, -0.2, -0.21, -0.18, -0.18, 
## -0.2, -0.18, -0.21, -0.2, -0.16, -0.16, -0.16, -0.15, -0.16, 
## -0.15, -0.13, -0.16, -0.25, -0.18, -0.15, -0.13, -0.11, -0.11, 
## -0.1, -0.1, -0.1, -0.13, -0.13, -0.15, -0.15, -0.15, -0.16, -0.16, 
## 0.02, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.02, 0.02, 
## 0.02, -0.05, -0.05, -0.07, -0.05, -0.03, 0.03, 0.03, 0.05, 0.03, 
## 0.03, 0.02, 0, 0, -0.03, -0.05, -0.03, -0.02, -0.02, -0.03, -0.02, 
## -0.02, -0.02, -0.03, -0.02, -0.02, -0.03, -0.05, -0.05, -0.07, 
## -0.07, -0.07, -0.07, -0.07, -0.05, -0.03, 0, -0.02, -0.03, -0.05, 
## -0.05, -0.03, 0, 0.03, 0.02, 0.02, 0, -0.02, -0.02, -0.07, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.03, 0.03, 0.03, 0.05, 0.05, 0.05, 
## 0.02, -0.03, -0.05, -0.05, -0.07, -0.05, -0.03, -0.03, -0.03, 
## 0, 0.02, 0.02, -0.02, 0.02, 0.02, -0.08, -0.07, -0.07, -0.07, 
## -0.03, 0.02, 0.03, 0, 0, 0, -0.02, -0.02, -0.03, -0.02, 0, 0.02, 
## 0.03, 0.02, -0.02, -0.05, -0.05, -0.05, -0.05, -0.05, -0.07, 
## -0.07, -0.05, -0.05, -0.05, -0.05, -0.05, -0.03, 0, 0.02, 0.03, 
## 0.03, 0.03, -0.02, -0.05, -0.05, -0.05, -0.08, -0.08, -0.08, 
## -0.1, -0.1, -0.08, -0.07, -0.05, -0.02, 0.02, 0.05, 0.03, 0.05, 
## 0.05, 0.05, 0.05, 0.08, 0.08, 0.05, -0.03, -0.05, -0.07, -0.05, 
## -0.03, -0.03, -0.05, -0.05, -0.03, -0.05, -0.03, -0.03, -0.07, 
## -0.1, -0.07, 0, 0.03, 0.02, 0.02, 0.02, -0.07, -0.08, -0.1, -0.1, 
## -0.1, -0.1, -0.11, -0.1, -0.1, -0.07, -0.02, 0, 0.05, 0.05, 0.03, 
## 0.02, 0, 0.03, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, -0.03, 
## -0.03, -0.02, -0.03, -0.03, -0.02, -0.03, -0.05, -0.07, -0.05, 
## -0.05, -0.03, -0.02, 0, 0.02, 0.02, 0, -0.02, -0.05, -0.07, -0.1, 
## -0.1, -0.07, -0.05, -0.03, -0.02, 0, 0.02, 0, -0.02, -0.02, -0.02, 
## -0.03, -0.02, 0.02, 0.02, 0.03, 0.03, -0.02, -0.02, -0.02, -0.03, 
## -0.05, -0.07, -0.07, -0.07, -0.07, -0.02, -0.02, -0.02, -0.02, 
## 0, 0, 0, -0.02, -0.03, -0.05, -0.08, -0.08, -0.1, -0.1, -0.08, 
## -0.08, 0, 0.02, 0.02, 0, -0.02, -0.02, 0, 0, 0.02, 0.05, 0.05, 
## 0.05, 0.05, 0.05, 0.03, -0.02, -0.02, -0.03, -0.05, 0.05, 0.05, 
## 0.02, 0.02, 0.02, 0.02, 0, -0.05, -0.05, -0.05, -0.08, -0.07, 
## -0.07, -0.05, -0.05, -0.08, -0.07, -0.05, 0.02, 0.02, 0, 0, 0, 
## 0.02, -0.07, -0.08, -0.07, -0.08, -0.08, -0.1, -0.08, -0.08, 
## -0.05, -0.07, -0.07, -0.05, -0.05, 0, 0.02, 0, 0, 0, 0.03, 0.03, 
## 0.03, 0.03, 0.07, 0.07, 0.07, 0.07, 0.07, 0.03, 0.02, 0, 0, -0.02, 
## -0.03, -0.03, -0.05, -0.02, -0.05, -0.05, -0.08, -0.1, -0.1, 
## -0.08, -0.07, -0.07, -0.05, -0.05, 0.02, 0, 0.02, 0, 0, -0.02, 
## -0.03, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, 
## 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 
## 0, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, 
## -0.03, -0.02, -0.03, -0.02, -0.03, -0.02, -0.03, -0.02, -0.02, 
## -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 
## -0.02, -0.03, -0.02, -0.02, -0.23, -0.07, -0.02, 0.16, 0.25, 
## -0.23, -0.11, -0.08, -0.05, 0.13, -0.02, 0.71, -0.36, 0.03, 0.26, 
## 0.07, 0.05, 0.23, -0.08, 0.03, -0.02, -0.08, 0, 0.02, 0.03, 0.02, 
## 0, 0.02, 0, 0, 0.02, 0, -0.03, 0.02, 0.03, 0.03, 0.03, 0.03, 
## 0.03, 0.02, 0, -0.02, -0.02, -0.03, -0.05, -0.03, -0.03, -0.02, 
## 0.02, 0, 0, -0.03, 0.02, 0.02, 0.02, 0, 0.02, 0, -0.03, -0.02, 
## 0, -0.08, -0.08, -0.11, 0.03, 0.15, 0.18, 0.23, 0.33, 0.36, 0.31, 
## 0.59, 0.48, 0.15, 0.15, 0.16, 0.11, 0.26, 0, -0.05, -0.13, -0.3, 
## -0.36, -0.46, -0.56, -0.64, -0.8, -0.51, -0.48, -0.48, -0.31, 
## -0.21, -0.11, -0.08, -0.1, 0.16, 0.36, 0.39, 0.43, 0.46, 0.57, 
## 0.62, 0.59, 0.89, 1.12, 0.74, 0.69, 0.52, 0.48, 0.41, 0.13, 0.08, 
## -0.02, 0.03, -0.02, -0.11, -0.16, -0.16, -0.18, -0.23, -0.26, 
## -0.3, -0.33, -0.36, -0.54, -0.77, -0.74, -0.69, -0.59, -0.52, 
## -0.44, -0.31, 0.02, -0.08, -0.03, 0.03, 0.03, 0.13, 0.2, 0.25, 
## 0.28, 0.31, 0.44, 0.72, 0.89, 0.79, 0.66, 0.66, 0.41, 0.31, 0.15, 
## 0.02, 0.05, 0.1, 0.05, -0.05, -0.1, -0.13, -0.39, -0.49, -0.54, 
## -0.67, -0.84, -0.62, -0.52, -0.52, -0.44, -0.36, -0.21, -0.08, 
## -0.02, 0.07, 0.07, 0.11, 0.16, 0.28, 0.3, 0.31, 0.33, 0.34, 0.38, 
## 0.44, 0.56, 0.69, 0.67, 0.69, 0.34, 0.43, 0.11, 0.08, 0.08, -0.2, 
## -0.38, -0.46, -0.61, -0.67, -0.72, -0.77, -0.69, -0.67, -0.52, 
## -0.43, 0.07, 0.15, 0.16, -0.02, 0.05, 0.1, 0.08, 0.05, 0.1, 0.16, 
## 0.25, 0.31, 0.38, 0.52, 0.79, 0.21, 0.33, 0.31, -0.02, -0.07, 
## -0.07, -0.18, -0.28, -0.36, -0.51, -0.72, -0.85, -0.59, -0.56, 
## -0.46, -0.38, -0.08, 0.03, 0.08, 0.02, -0.02, -0.02, 0.03, 0.03, 
## 0, 0.02, 0.05, 0.08, 0.08, 0.1, 0.18, 0.23, 0.26, 0.3, 0.49, 
## 0.54, 0.57, 0.57, 0.56, 0.59, 0.71, 0.71, 0.43, 0.33, 0.46, 0.13, 
## 0.2, 0.13, 0.05, -0.03, -0.11, -0.21, -0.26, -0.28, -0.34, -0.39, 
## -0.66, -0.77, -0.69, -0.61, -0.54, -0.51, -0.49, -0.31, -0.18, 
## -0.03, 0.03, 0, -0.03, 0, 0.02, 0.02, 0.05, 0.07, 0.11, 0.26, 
## 0.28, 0.41, 0.57, 0.64, 0.54, 0.51, 0.54, 0.56, 0.62, 0.54, 0.02, 
## 0.11, -0.07, -0.1, -0.15, -0.28, -0.46, -0.49, -0.49, -0.54, 
## -0.69, -0.61, -0.43, -0.36, -0.36, -0.44, -0.38, -0.05, -0.08, 
## 0, 0.03, 0.08, 0.08, 0.1, 0.18, -0.13, -0.13, -0.03, 0.03, 0.07, 
## 0.08, 0.1, 0.18, 0.25, 0.36, 0.49, 0.56, 0.54, 0.28, 0.23, 0.3, 
## 0.16, 0.08, 0.05, -0.03, -0.13, -0.18, -0.21, -0.23, -0.3, -0.36, 
## -0.38, -0.34, -0.28, -0.3, -0.25, -0.16, -0.16, -0.1, -0.02, 
## 0.03, 0.05, 0.07, -0.38, -0.23, -0.23, -0.16, -0.05, 0.02, 0, 
## 0.05, 0.03, 0.03, 0.02, 0.02, 0.02, -0.11, 0.08, -0.02, -0.02, 
## -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 
## 0, 0, 0, -0.02, -0.03, -0.03, -0.05, 0, -0.05, -0.02, -0.02, 
## -0.02, 0.02, 0.03, 0.02, 0, 0.02, 0.02, 0, -0.02, 0, -0.02, -0.02, 
## 0.02, 0, 0.02, 0.02, -0.02, -0.02, -0.03, -0.08, -0.1, -0.07, 
## -0.1, -0.08, -0.02, 0.02, 0.02, 0.07, 0.16, 0.2, 0.21, 0.23, 
## 0.25, 0.11, 0.02, 0, 0.05, 0.02, 0.05, 0.07, 0.08, 0.11, 0.13, 
## 0.16, 0.18, 0.07, 0.11, 0.07, 0.03, 0.05, 0, -0.07, -0.13, -0.16, 
## -0.18, -0.21, -0.3, -0.33, -0.36, -0.43, -0.59, -0.59, -0.62, 
## -0.66, -0.67, -0.64, -0.59, -0.59, -0.57, -0.56, -0.62, -0.66, 
## -0.71, -0.75, -0.74, -0.69, -0.64, -0.59, -0.51, -0.48, -0.46, 
## -0.44, -0.39, -0.34, -0.26, -0.18, -0.13, -0.08, -0.08, -0.08, 
## -0.07, 0, 0, 0, 0, 0.03, 0.07, 0.28, 0.33, 0.36, 0.39, 0.43, 
## 0.46, 0.43, 0.18, 0.13, 0.15, 0.08, -0.02, -0.03, -0.02, 0.05, 
## 0.05, 0.03, 0.02, 0.02, 0.02, 0, -0.03, -0.11, -0.2, -0.25, -0.26, 
## -0.34, -0.48, -0.51, -0.54, -0.59, -0.66, -0.69, -0.67, -0.67, 
## -0.69, -0.66, -0.62, -0.62, -0.59, -0.54, -0.48, -0.44, -0.41, 
## -0.38, -0.38, -0.36, -0.3, -0.28, -0.25, -0.1, -0.18, -0.2, -0.2, 
## -0.16, -0.08, -0.03, 0, 0.02, 0.05, 0.13, 0.16, 0.39, 0.34, 0.43, 
## 0.46, 0.41, 0.34, 0.3, 0.26, 0.1, 0, 0.03, -0.07, -0.05, -0.07, 
## -0.05, -0.07, -0.1, -0.11, -0.15, -0.16, -0.25, -0.33, -0.36, 
## -0.39, -0.44, -0.57, -0.62, -0.69, -0.64, -0.67, -0.67, -0.66, 
## -0.66, -0.69, -0.69, -0.66, -0.62, -0.59, -0.51, -0.44, -0.36, 
## -0.33, -0.31, -0.26, -0.25, -0.21, -0.13, -0.1, -0.05, -0.03, 
## -0.03, -0.05, -0.03, 0.03, 0.15, 0.2, 0.21, 0.2, 0.18, 0.25, 
## 0.23, 0.2, 0.2, 0.25, 0.26, 0.3, 0.23, 0.28, 0.3, 0.16, 0.13, 
## 0.11, 0.07, -0.03, -0.1, -0.02, -0.03, -0.02, 0, -0.07, -0.11, 
## -0.15, -0.2, -0.25, -0.41, -0.46, -0.48, -0.61, -0.64, -0.66, 
## -0.67, -0.69, -0.67, -0.64, -0.62, -0.64, -0.62, -0.54, -0.44, 
## -0.39, 0.54, 0.64, 0.46, 0.51, 0.48, 0.3, 0.21, 0.23, 0.16, 0.11, 
## 0.11, -0.07, -0.08, -0.1, -0.25, -0.26, -0.25, -0.3, -0.3, -0.31, 
## -0.33, -0.41, -0.43, -0.43, -0.46, -0.52, -0.56, -0.59, -0.75, 
## -0.87, -0.85, -0.8, -0.64, -0.44, -0.43, -0.43, -0.43, -0.26, 
## -0.21, -0.11, -0.08, 0.05, 0.1, 0.1, 0.16, 0.16, 0, -0.07, -0.07, 
## 0.02, 0.13, 0.23, 0.2, 0.02, 0.05, 0.05, 0.02, 0.15, 0.36, 0.33, 
## 0.3, 0.26, 0.25, 0.16, 0.08, 0.02, -0.05, -0.15, -0.21, -0.21, 
## -0.23, -0.25, -0.28, -0.26, -0.28, -0.28, -0.28, -0.26, -0.26, 
## -0.26, -0.34, -0.36, -0.39, -0.46, -0.59, -0.71, -0.74, 0.13, 
## 0.15, 0.16, 0.25, 0.33, 0.41, 0.36, 0.26, 0.21, 0.23, 0.18, 0.08, 
## 0.07, 0.1, 0.08, 0.05, 0, -0.03, -0.03, 0.02, -0.03, -0.11, -0.13, 
## -0.13, -0.25, -0.36, -0.43, -0.48, -0.56, -0.67, -0.71, -0.74, 
## -0.79, -0.8, -0.75, -0.75, -0.69, -0.67, -0.62, -0.57, -0.54, 
## -0.52, -0.41, -0.34, -0.3, -0.28, -0.25, -0.25, -0.08, -0.02, 
## 0.02, 0.03, -0.03, -0.07, -0.2, -0.18, 0.1, 0.25, 0.33, 0.39, 
## 0.43, 0.44, 0.41, 0.38, 0.31, 0.34, 0.31, 0.23, 0.23, 0.13, 0.1, 
## 0.11, 0.05, 0.11, 0.07, -0.02, -0.02, 0.03, -0.02, -0.13, -0.13, 
## -0.15, -0.36, -0.39, -0.41, -0.57, -0.59, -0.67, -0.71, -0.71, 
## -0.74, -0.87, -0.84, -0.82, -0.82, -0.08, -0.08, -0.07, -0.03, 
## -0.03, 0.03, 0.08, 0.11, 0.18, 0.26, 0.34, 0.49, 0.38, 0.31, 
## -0.02, -0.08, -0.08, -0.11, -0.13, -0.16, -0.21, -0.2, -0.8, 
## -0.77, -0.69, -0.66, -0.62, -0.59, -0.52, -0.52, -0.51, -0.51, 
## -0.49, -0.48, -0.44, -0.36, -0.16, -0.13, -0.13, -0.08, -0.69, 
## -0.67, -0.66, -0.62, -0.52, -0.51, -0.49, -0.46, -0.43, -0.43, 
## -0.41, -0.28, -0.18, -0.07, 0, 0.02, 0, -0.02, 0, -0.03, -0.08, 
## -0.1, -0.11, -0.15, -0.13, 0, 0.07, -0.38, -0.41, -0.41, -0.38, 
## -0.36, -0.34, -0.31, -0.28, -0.23, -0.15, 0, -0.15, -0.16, -0.21, 
## -0.18, -0.11, -0.05, -0.03, 0.05, 0.3, -0.9, -0.97, -0.98, -1.1, 
## -1.2, -1.15, -0.74, -0.66, -0.62, -0.59, -0.57, -0.54, -0.52, 
## -0.51, -0.49, -0.54, -0.51, -0.51, -0.48, -0.43, -0.36, -0.1, 
## 0.03, 0.1, 0.07, 0.03, -0.03, -0.16, -0.23, -0.23, -0.25, -0.3, 
## -0.54, -0.61, -0.05, 0.13, 0.15, 0.08, 0.1, -0.03, -0.15, -0.28, 
## -0.21, -0.16, -0.11, -0.15, -0.26, -0.44, -0.48, -0.59, -0.64, 
## -0.69, -0.74, -0.82, -0.89, -1.08, -1.08, -1.12, -1.15, -0.98, 
## -1.03, -1.08, -0.67, -0.72, -0.75, -0.72, -0.67, -0.49, -0.38, 
## -0.33, -0.33, -0.36, -0.36, -0.33, -0.28, -0.26, -0.3, -0.28, 
## -0.21, -0.23, -0.16, -0.08, -0.07, 0.21, 0.25, 0.2, 0.03, 0.08, 
## 0.07, -0.15, -0.2, -0.3, -0.34, -0.23, -0.51, -0.52, -0.62, -0.69, 
## -0.75, -0.77, -0.9, -0.94, -0.94, -1.02, -1.03, -1.03, -1.03, 
## -1.02, -1.07, -1.2, -0.84, -0.84, -0.87, -0.89, -0.8, -0.64, 
## -0.61, -0.61, -0.46, -0.52, -0.41, -0.39, -0.33, -0.03, 0.07, 
## 0.15, 0.3, 0.31, 0.13, 0.1, 0.03, -0.02, -0.03, -0.25, -0.39, 
## 0.05, 0.2, 0.26, 0.33, 0.38, 0.48, 0.41, 0.39, 0.33, 0.23, 0.13, 
## -0.07, -0.18, -0.21, -0.25, -0.31, -0.31, -0.25, -0.18, -0.34, 
## -0.33, -0.26, -0.44, -0.43, -0.41, -0.28, -0.2, -0.11, -0.1, 
## -0.1, 0.03, 0.07, 0.1, 0.07, 0.02, 0, -0.02, -0.1, -0.15, -0.15, 
## -0.23, -0.2, -0.13, -0.1, -0.1, -0.11, -0.11, -0.08, -0.16, -0.2, 
## -0.23, -0.92, -1, -0.97, -0.98, -0.95, -0.98, -1, -1.46, -1.13, 
## -0.66, -0.62, -0.64, -0.62, -0.44, -0.31, -0.31, -0.25, -0.34, 
## -0.41, -0.48, -0.52, -0.52, -0.52, -0.52, -0.51, -0.51, -0.48, 
## -0.48, -0.46, -0.48, -0.48, -0.54, -0.56, -0.57, -0.56, -0.57, 
## -0.61, -0.54, -0.43, -0.43, -0.43, -0.41, -0.39, -0.41, -0.44, 
## -0.46, -0.46, -0.46, -0.43, -0.41, -0.39, -0.41, -0.41, -0.43, 
## -0.43, -0.43, -0.46, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, 
## -0.02, 0.02, 0, 0.02, 0, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 
## 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, -0.02, 0, 
## -0.02, 0, 0, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, 0.03, 0.03, 
## 0.02, -0.02, -0.03, -0.05, -0.02, -0.02, -0.02, 0.02, 0.02, 0.48, 
## 0.48, 0.48, 0.39, 0.62, 0.54, 0.44, 0.38, 0.25, 0.25, 0.11, 0.02, 
## -0.02, -0.03, -0.07, -0.1, -0.11, -0.16, -0.3, -0.33, -0.36, 
## -0.02, -0.02, 0, -0.02, -0.05, -0.07, 0, -0.02, -0.02, -0.02, 
## -0.03, -0.03, -0.03, -0.03, 0.02, 0.03, 0, 0.02, 0.02, 0.03, 
## 0, -0.02, -0.02, 0, -0.03, 0.1, 0.15, 0.2, 0.23, 0.26, 0.26, 
## 0.3, 0.33, 0.69, 0.41, 0.26, 0.28, 0.26, 0.07, 0.03, 0.07, -0.03, 
## -0.05, -0.11, -0.15, -0.16, -0.26, -0.31, -0.34, -0.39, -0.41, 
## 0.21, 0.26, 0.36, 0.56, 0.54, 0.46, 0.36, 0.3, 0.16, 0.05, 0.02, 
## 0.02, 0.05, 0.03, 0.03, 0.03, 0.02, -0.05, -0.1, -0.16, -0.26, 
## -0.49, -0.51, -0.43, -0.36, -0.33, -0.03, -0.05, -0.02, -0.03, 
## -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.02, 0, 0.02, 0.02, 0.02, 0.03, 0.07, 
## 0.08, 0.1, 0.1, 0.08, 0.08, 0.05, -0.02, -0.02, -0.02, -0.02, 
## -0.03, -0.02, -0.02, -0.02, -0.02, 0, 0.02, 0, 0, -0.03, -0.15, 
## 0.05, 0.11, 0.08, 0.03, -0.11, -0.11, -0.15, -0.05, -0.02, -0.02, 
## -0.02, -0.03, -0.03, -0.03, -0.1, -0.08, -0.08, -0.07, -0.05, 
## -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.05, 0.05, 0.05, 
## 0.05, 0.03, 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.03, -0.05, 
## -0.07, -0.07, -0.07, -0.05, -0.05, -0.05, -0.07, -0.08, -0.07, 
## -0.05, 0, 0, 0, -0.05, -0.05, -0.23, -0.21, -0.18, -0.05, -0.11, 
## -0.36, -0.39, -0.43, -0.44, -0.46, -0.44, -0.44, -0.43, -0.44, 
## -0.44, -0.46, -0.46, -0.44, -0.44, -0.46, -0.46, -0.46, -0.48, 
## -0.48, -0.48, -0.46, -0.39, -0.39, -0.38, -0.36, -0.31, -0.64, 
## -0.8, -0.87, -0.94, -0.95, -0.97, -1.02, -1, -1, -1.03, -1.03, 
## -0.98, -1, -0.94, -0.66, -0.57, -0.56, -0.61, -0.49, -0.48, -0.46, 
## -0.46, -0.41, -0.44, -0.43, -0.33, -0.44, -0.66, -0.8, -0.92, 
## -0.9, -0.98, -0.97, -1.02, -1.16, -1.28, -0.94, -0.97, -0.57, 
## -0.56, -0.41, -0.28, -0.23, -0.11, -0.66, -0.72, -0.77, -0.79, 
## -0.79, -0.87, -0.89, -0.89, -0.97, -0.92, -1.2, -1.25, -1.08, 
## -0.84, -0.79, -0.62, -0.54, -0.49, -0.49, -0.44, -0.46, -0.51, 
## -0.48, -0.44, -0.44, -0.39, -0.08, -0.03, 0.18, 0.2, 0.2, 0.21, 
## 0.18, 0.15, 0.07, 0, -0.07, -0.08, -0.1, -0.08, -0.1, -0.21, 
## -0.25, -0.34, -0.34, -0.38, -0.43, -0.51, -0.59, -0.67, 0.59, 
## 0.51, 0.33, 0.25, 0.15, 0.11, 0.07, 0.02, -0.13, -0.25, -0.48, 
## -0.54, -0.59, -0.54, -0.46, -0.44, -0.44, -0.34, -0.41, -0.56, 
## -0.61, -0.54, -0.43, -0.44, -0.64, -0.62, -0.67, -0.48, -0.39, 
## -0.18, -0.2, -0.21, -0.18, -0.07, 0, 0.02, 0.05, 0.13, 0.18, 
## 0.23, 0.3, 0.41, 0.52, 0.51, 0.46, 0.46, 0.48, 0.49, 0.52, 0.52, 
## 0.61, -0.05, -0.31, -0.36, -0.38, -0.39, -0.39, -0.38, -0.41, 
## -0.41, -0.41, -0.44, -0.56, -0.59, -0.59, -0.52, -0.52, -0.31, 
## -0.16, -0.18, -0.13, -0.13, 0.02, 0.07, 0.07, 0.07, 0.15, 0.18, 
## 0.23, 0.28, 0.43, 0.49, 0.56, 0.59, 0.57, 0.49, 0.44, 0.41, 0.41, 
## 0.38, 0.34, 0.3, 0.18, 0.1, 0.08, 0.05, 0, -0.03, -0.07, -0.11, 
## -0.16, -0.43, -0.48, -0.54, -0.52, -0.46, -0.67, -0.79, -0.84, 
## -0.62, -0.61, -0.51, -0.43, -0.23, -0.25, -0.28, -0.3, -0.36, 
## -0.36, -0.41, -0.54, -0.62, -0.67, -0.67, -0.64, -0.59, -0.57
## ), accel_belt_x = c(-21, -22, -20, -22, -21, -21, -22, -22, -20, 
## -21, -21, -22, -22, -22, -21, -21, -21, -21, -20, -22, -20, -21, 
## -21, -20, -19, -21, -22, -21, -20, -21, -21, -21, -22, -22, -22, 
## -21, -20, -21, -21, -20, -20, -22, -22, -21, -20, -19, -19, -18, 
## -19, -18, -20, -19, -19, -20, -17, -18, -19, -21, -19, -21, -20, 
## -20, -20, -19, -19, -21, -17, -19, -20, -20, -19, -19, -18, -19, 
## -19, -20, -19, -21, -18, -19, -21, -18, -19, -20, -20, -20, -20, 
## -20, -20, -20, -20, -19, -20, -20, -20, -21, -21, -19, -19, -19, 
## -20, -18, -19, -20, -21, -19, -20, -19, -19, -19, -20, -20, -20, 
## -21, -22, -20, -20, -19, -18, -19, -19, -19, -22, -20, -19, -20, 
## -19, -19, -17, -19, -19, -20, -18, -20, -19, -21, -19, -18, -20, 
## -19, -19, -18, -18, -17, -17, -19, -19, -17, -17, -18, -18, -20, 
## -18, -18, -20, -17, -18, -19, -19, -21, -20, -21, -21, -19, -19, 
## -43, -45, -42, -44, -42, -41, -44, -42, -41, -42, -44, -49, -50, 
## -46, -45, -44, -43, -44, -46, -45, -44, -45, -46, -43, -44, -45, 
## -47, -47, -44, -44, -46, -45, -46, -49, -48, -44, -47, -43, -45, 
## -46, -46, -47, -47, -48, -48, -47, -46, -45, -45, -49, -46, -46, 
## -46, -44, -46, -47, -47, -46, -48, -45, -45, -45, -46, -46, -45, 
## -43, -43, -47, -45, -46, -44, -45, -45, -45, -40, -43, -41, -43, 
## -44, -44, -43, -43, -43, -42, -42, -43, -43, -43, -40, -42, -39, 
## -39, -42, -44, -48, -45, -43, -48, -47, -47, -46, -47, -47, -46, 
## -45, -44, -46, -46, -45, -46, -46, -46, -44, -45, -47, -46, -42, 
## -42, -41, -43, -45, -47, -47, -47, -46, -45, -42, -39, -40, -43, 
## -44, -44, -42, -41, -44, -44, -42, -46, -46, -45, -43, -39, -39, 
## -41, -39, -37, -39, -38, -37, -35, -31, -33, -34, -38, -39, -42, 
## -45, -42, -43, -41, -41, -41, -38, -38, -42, -39, -42, -41, -41, 
## -42, -42, -41, -39, -38, -38, -42, -42, -41, -40, -40, -40, -41, 
## -40, -38, -41, -43, -42, -39, -39, -44, -43, -41, -42, -42, -44, 
## -44, -43, -44, -40, -39, -40, -42, -41, -42, -42, -38, -37, -42, 
## -40, -39, -38, -34, -37, -42, -42, -43, -40, -41, -39, -40, -40, 
## -40, -40, -41, -40, -45, -45, -44, -43, -41, -42, -43, -43, -41, 
## -40, -42, -40, -40, -41, -40, -40, -35, -40, -37, -36, -35, -46, 
## -41, -40, -45, -40, -40, -40, -40, -43, -42, -42, -45, -46, -45, 
## -44, -42, -39, -39, -41, -41, -39, -35, -40, -41, -40, -41, -41, 
## -41, -41, -43, -42, -40, -41, -42, -40, -43, -43, -42, -41, -40, 
## -40, -36, -38, -37, -33, -40, -43, -43, -43, -42, -43, -44, -45, 
## -44, -41, -42, -39, -38, -37, -35, -33, -36, -36, -44, -44, -43, 
## -45, -40, -41, -42, -44, -43, -43, -42, -40, -36, -41, -38, -35, 
## -44, -43, -40, -40, -45, -42, -40, -43, -40, -39, -41, -42, -38, 
## -38, -39, -41, -41, -41, -44, -45, -44, -44, -45, -44, -44, -40, 
## -41, -43, -41, -39, -43, -44, -43, -37, -43, -42, -42, -41, -40, 
## -41, -41, -38, -37, -40, -42, -41, -41, -43, -41, -40, -42, -42, 
## -40, -41, -40, -42, -43, -44, -42, -39, -36, -38, -37, -35, -35, 
## -37, -35, -36, -36, -36, -38, -42, -44, -43, -43, -42, -43, -42, 
## -41, -40, -39, -41, -36, -39, -38, -40, -39, -39, -41, -41, -44, 
## -43, -38, -39, -38, -43, -42, -42, -41, -40, -42, -42, -43, -42, 
## -43, -43, -42, -43, -37, -37, -38, -37, -43, -44, -41, -43, -42, 
## -42, -41, -41, -42, -42, -42, -41, -38, -39, -42, -41, -42, -43, 
## -43, -40, -41, -42, -43, -41, -42, -45, -41, -38, -40, -39, -41, 
## -36, -38, -42, -43, -44, -44, -43, -39, -42, -42, -43, -41, -41, 
## -39, -39, -39, -42, -41, -42, -40, -42, -43, -41, -40, -45, -40, 
## -42, -42, -41, -39, -42, -43, -44, -44, -44, -42, -41, -41, -41, 
## -42, -42, -39, -41, -43, -44, -43, -42, -41, -44, -42, -42, -40, 
## -42, -43, -41, -42, -42, -41, -40, -42, 52, 52, 49, 47, 47, 54, 
## 57, 40, 45, 50, 51, 54, 40, 38, 71, 50, 53, 53, 59, 55, 50, 46, 
## 45, 42, 42, 41, 42, 44, 46, 42, 43, 46, 46, 45, 46, 45, 45, 45, 
## 46, 44, 44, 45, 45, 47, 48, 48, 47, 47, 47, 48, 47, 47, 47, 47, 
## 46, 47, 48, 49, 48, 45, 46, 48, 49, 45, 46, 48, 48, 47, 46, 46, 
## 46, 46, 48, 47, 48, 46, 47, 46, 47, 48, 44, 47, 48, 45, 44, 45, 
## 46, 46, 45, 45, 45, 47, 47, 47, 46, 46, 47, 48, 45, 46, 45, 45, 
## 45, 46, 45, 46, 46, 44, 45, 47, 48, 47, 45, 46, 46, 44, 46, 46, 
## 45, 45, 46, 47, 46, 46, 45, 45, 45, 45, 45, 46, 45, 45, 45, 45, 
## 47, 45, 47, 45, 44, 44, 47, 46, 46, 46, 47, 46, 49, 46, 46, 48, 
## 48, 47, 45, 47, 46, 46, 48, 45, 45, 46, 45, 46, 45, 46, 47, 46, 
## 47, 48, 50, 47, 44, 43, 43, 43, 42, 43, 43, 46, 48, 47, 46, 47, 
## 48, 49, 49, 48, 46, 45, 45, 46, 45, 45, 45, 44, 45, 50, 52, 45, 
## 44, 45, 43, 42, 49, 47, 46, 47, 46, 45, -24, -25, -24, -25, -25, 
## -28, -25, -24, -23, -22, -24, -25, -21, -21, -20, -25, -24, -21, 
## -21, -26, -26, -22, -23, -26, 42, 44, 44, 45, 46, 44, 45, 45, 
## 46, 46, 45, 44, 45, 46, 44, 44, 46, 62, 62, 58, 29, 15, 33, 20, 
## 26, 29, 33, 37, 40, 45, 50, 59, 62, 59, 49, 49, 41, 48, 51, 48, 
## 46, 44, 47, 49, 45, 45, 47, 44, 36, 46, 43, 45, 48, 45, 43, 50, 
## 60, 56, 35, 49, 49, 55, 50, 50, 49, 48, 45, 44, 43, 43, 44, 52, 
## 52, 52, 50, 51, 51, 45, 41, 47, 47, 48, 52, 54, 55, 55, 53, 51, 
## 54, 53, 51, 50, 52, 53, 47, 46, 49, 56, 57, 56, 49, 50, 52, 49, 
## 47, 50, 41, 49, 51, 50, 46, 42, 44, 45, 46, 46, 46, 46, 47, 47, 
## 45, 46, 47, 47, 47, 50, 51, 50, 49, 50, 51, 53, 53, 55, 54, 62, 
## 61, 62, 64, 63, 59, 57, 55, 44, 42, 38, 38, 35, 30, 26, 25, 34, 
## 35, 37, 37, 40, 48, 53, 54, 51, 48, 51, 52, 56, 56, 56, 51, 50, 
## 48, 49, 50, 51, 55, 59, 57, 55, 52, 49, 49, 51, 50, 49, 51, 53, 
## 53, 52, 52, 49, 50, 47, 46, 44, 44, 44, 44, 44, 45, 47, 50, 50, 
## 48, 47, 50, 48, 48, 48, 48, 46, 46, 46, 47, 47, 46, 46, 46, 47, 
## 46, 45, 45, 45, 49, 49, 50, 48, 49, 47, 48, 47, 46, 46, 47, 47, 
## 48, 46, 48, 48, 50, 49, 49, 47, 47, 45, 47, 46, 47, 48, 48, 48, 
## 50, 48, 48, 49, 47, 47, 50, 44, 45, 50, 48, 47, 50, 51, 48, 50, 
## 50, 49, 49, 47, 48, 47, 45, 46, 49, 49, 48, 49, 47, 47, 48, 48, 
## 50, 47, 49, 47, 48, 50, 50, 51, 50, 49, 46, 47, 44, 45, 46, 48, 
## 50, 52, 50, 48, 45, 47, 45, 48, 48, 46, 50, 48, 48, 50, 49, 49, 
## 48, 49, 45, 48, 47, 49, 46, 47, 47, 47, 45, 46, 46, 47, 47, 47, 
## 49, 48, 49, 50, 49, 50, 49, 47, 48, 46, 47, 47, 49, 49, 48, 47, 
## 46, 47, 47, 49, 45, 46, 47, 48, 46, 46, 47, 48, 47, 50, 49, 49, 
## 51, 47, 49, 47, 48, 45, 46, 46, 49, 49, 48, 49, 50, 50, 48, 46, 
## 48, 49, 51, 50, 46, 49, 46, 47, 48, 46, 48, 47, 48, 49, 47, 47, 
## 48, 47, 46, 46, 44, 46, 47, 50, 49, 49, 50, 48, 49, 48, 46, 45, 
## 45, 45, 50, 51, 51, 45, 47, 49, 49, 51, 47, 48, 47, 48, 45, 49, 
## 50, 51, 51, 51, 50, 49, 48, 47, 46, 45, 44, 45, 46, 48, 50, 47, 
## 46, 48, 51, 51, 51, 49, 52, 48, 48, 45, 47, 49, 49, 49, 50, 48, 
## 48, 48, 47, 48, 47, 49, 50, 50, 49, 49, 50, 47, 50, 49, 48, 46, 
## 45, 44, 49, 49, 48, 47, 50, 50, 49, 48, 48, 49, 49, 50, 46, 48, 
## 50, 50, 50, 51, 47, 46, 48, 48, 49, 50, 50, 49, 51, 50, 50, 48, 
## 47, 47, 46, 45, 44, 45, 47, 49, 48, 49, 47, 49, 49, 47, 48, 52, 
## 51, 52, 49, 50, 50, 48, 48, 48, 50, 50, 51, 47, 47, 47, 47, 48, 
## 47, 49, 49, 49, 51, 48, 49, 49, 50, 48, 48, 48, 46, 47, 49, 47, 
## 49, 49, 50, 49, 49, 51, 48, 48, 47, 51, 48, 49, 46, 46, 49, 50, 
## 51, 49, 49, 48, 49, 50, 50, 47, 48, 46, 47, 47, 50, 50, 48, 48, 
## 48, 49, 51, 51, 49, 48, 48, 45, 46, 47, 47, 46, 48, 50, 50, 48, 
## 49, 49, 51, 51, 47, 47, 47, 47, 45, 49, 51, 48, 49, 49, 51, 48, 
## 48, 47, 49, 48, 49, 49, 51, 49, 50, 50, 46, 47, 49, 47, 48, 49, 
## 51, 49, 49, 47, 47, 47, 50, 49, 49, 50, 49, 48, 50, 53, 52, 52, 
## 51, 46, 47, 46, 44, 47, 49, 50, 51, 52, 50, 50, 48, 50, 49, 46, 
## 51, 49, 46, 47, 46, 45, 47, 48, 47, 50, 50, 49, 49, 48, 48, 47, 
## 46, 46, 47, 51, 52, 48, 49, 50, 51, 49, 50, 50, 49, 47, 48, -14, 
## -12, -13, -11, -11, -9, -8, -9, -9, -13, -13, -15, -16, -18, 
## -14, -14, -11, -12, -11, -11, -13, -10, -13, -11, -13, -11, -12, 
## -11, -12, -12, -12, -9, -9, -9, -14, -7, -9, -9, -13, -9, -11, 
## -9, -10, -12, -11, -11, -11, -11, -15, -13, -11, -13, -14, -11, 
## -9, -13, -13, -10, -14, -15, -11, -9, -12, -13, -14, -11, -13, 
## -14, -10, -8, -12, -10, -9, -9, -10, -10, -8, -5, -9, -9, -7, 
## -7, -7, -12, -11, -11, -12, -11, -6, -8, -8, -14, -12, -10, -8, 
## -10, -7, -9, -9, -9, -10, -10, -11, -11, -10, -12, -10, -7, -8, 
## -8, -7, -10, -12, -10, -10, -14, -15, -12, -10, -11, -12, -9, 
## -8, -8, -8, -7, -7, -7, -7, -8, -8, -8, -7, -8, -7, -7, -8, -7, 
## -6, -10, -8, -7, -7, -7, -9, -9, -7, -6, -6, -6, -11, -11, -12, 
## -10, -8, -9, -10, -9, -7, -7, -6, -6, -7, -9, -7, -8, -10, -10, 
## -10, -9, -11, -11, -8, -9, -7, -10, -9, -7, -8, -11, -9, -6, 
## -4, -4, -4, -9, -9, -11, -15, -17, -14, -10, -9, -9, -10, -10, 
## -9, -8, -8, -13, -11, -10, -10, -9, -13, -11, -13, -14, -12, 
## -10, -9, -8, -7, -7, -9, -10, -7, -7, -9, -8, -9, -10, -12, -8, 
## -7, -7, -6, -6, -8, -12, -16, -13, -9, -10, -9, -8, -12, -12, 
## -10, -9, -8, -9, -8, -8, -6, -9, -6, -6, -9, -7, -11, -10, -11, 
## -12, -11, -8, -9, -8, -10, -10, -9, -9, -12, -12, -10, -9, -7, 
## -8, -8, -10, -9, -8, -9, -13, -9, -7, -5, -6, -8, -13, -14, -14, 
## -9, -8, -10, -9, -10, -11, -11, -8, -6, -8, -7, -7, -5, -8, -7, 
## -7, -7, -6, -7, -8, -8, -9, -9, -11, -10, -10, -11, -6, -7, -8, 
## -9, -8, -9, -8, -7, -8, -8, -10, -11, -10, -10, -10, -9, -7, 
## -9, -9, -9, -11, -8, -7, -7, -7, -9, -9, -8, -9, -8, -9, -7, 
## -7, -7, -11, -10, -8, -5, -4, -3, -3, -6, -9, -14, -12, -11, 
## -11, -9, -9, -10, -7, -8, -8, -10, -10, -10, -8, -7, -9, -10, 
## -8, -7, -8, -5, -9, -7, -10, -9, -9, -7, -6, -8, -9, -11, -10, 
## -9, -9, -11, -10, -7, -8, -6, -9, -9, -8, -7, -6, -8, -9, -9, 
## -8, -8, -7, -8, -7, -9, -10, -10, -10, -10, -9, -8, -6, -3, -3, 
## -3, -4, -12, -11, -12, -12, -11, -8, -9, -9, -11, -8, -7, -5, 
## -6, -7, -6, -5, -6, -6, -7, -6, -7, -7, -9, -9, -9, -10, -8, 
## -8, -5, -7, -6, -4, -5, -6, -9, -9, -10, -10, -8, -8, -8, -9, 
## -9, -7, -8, -9, -9, -9, -8, -7, -8, -7, -7, -8, -8, -7, -7, -8, 
## -8, -8, -7, -7, -7, -8, -8, -7, -7, -7, -9, -10, -9, -9, -8, 
## -8, -7, -7, -8, -8, -11, -10, -9, -6, -6, -9, -9, -8, -8, -9, 
## -9, -8, -8, -7, -7, -9, -10, -10, -9, -6, -7, -11, -13, -10, 
## -14, -13, -8, -8, -9, -7, -7, -7, -8, -10, -8, -9, -7, -5, -4, 
## -3, -5, -7, -11, -6, -4, -4, -4, -5, -6, -5, -7, -7, -11, -10, 
## -8, -10, -9, -8, -6, -7, -7, -7, -7, -6, -7, -7, -7, -9, -7, 
## -6, -7, -12, -14, -11, -9, -12, -10, -6, -8, -14, -10, -6, -5, 
## -7, -7, -13, -15, -12, -7, -6, -7, -6, -8, -6, -5, -4, -5, -3, 
## -5, -4, -5, -8, -11, -9, -7, -9, -15, -15, -17, -16, -14, -15, 
## -14, -16, -17, -15, -16, -16, -15, -15, -15, -14, -16, -14, -15, 
## -15, -18, -18, -14, -15, -16, -16, -15, -14, -14, -15, -16, -16, 
## -16, -14, -14, -15, -15, -17, -21, -18, -14, -15, -15, -14, -16, 
## -16, -14, -14, -14, -14, -16, -16, -16, -16, -20, -14, -14, -15, 
## -14, -13, -13, -13, -14, -15, -16, -15, -15, -17, -18, -15, -17, 
## -15, -14, -14, -18, -15, -13, -13, -13, -15, -16, -16, -19, -16, 
## -15, -16, -14, -15, -14, -17, -17, -15, -13, -13, -15, -14, -14, 
## -15, -14, -15, -16, -15, -15, -13, -13, -14, -16, -14, -15, -15, 
## -17, -16, -14, -15, -15, -16, -16, -15, -14, -12, -12, -12, -12, 
## -13, -15, -18, -13, -13, -18, -23, -27, -25, -22, -21, -18, -15, 
## -13, -13, -12, -13, -12, -13, -13, -12, -12, -12, -12, -19, -21, 
## -20, -18, -18, -16, -18, -19, -13, -13, -16, -15, -16, -14, -17, 
## -15, -18, -19, -20, -19, -15, -17, -17, -17, -14, -14, -16, -16, 
## -17, -14, -14, -15, -18, -18, -17, -19, -15, -14, -15, -16, -16, 
## -17, -17, -15, -14, -15, -18, -17, -16, -13, -13, -14, -16, -15, 
## -16, -17, -16, -15, -16, -17, -18, -17, -15, -15, -15, -15, -14, 
## -12, -9, -13, -18, -21, -19, -16, -14, -12, -14, -14, -17, -16, 
## -16, -15, -14, -14, -16, -14, -13, -13, -13, -13, -15, -16, -15, 
## -13, -15, -15, -14, -14, -14, -15, -14, -14, -16, -15, -16, -16, 
## -16, -17, -17, -15, -15, -16, -14, -17, -14, -17, -17, -16, -14, 
## -15, -16, -16, -16, -17, -15, -15, -15, -15, -14, -15, -15, -16, 
## -15, -19, -15, -14, -14, -15, -13, -17, -18, -19, -17, -14, -14, 
## -15, -16, -15, -17, -15, -15, -14, -16, -16, -15, -16, -15, -14, 
## -16, -15, -15, -16, -15, -16, -17, -15, -14, -15, -16, -15, -14, 
## -15, -15, -14, -16, -16, -15, -15, -15, -16, -15, -14, -15, -15, 
## -14, -17, -15, -13, -15, -16, -16, -15, -16, -16, -13, -16, -19, 
## -15, -17, -14, -15, -16, -15, -16, -17, -13, -20, -22, -23, -23, 
## -22, -20, -20, -17, -16, -19, -21, -17, -18, -22, -18, -19, -17, 
## -15, -19, -21, -23, -21, -20, -16, -19, -16, -19, -21, -17, -14, 
## -17, -19, -20, -22, -21, -17, -18, -19, -19, -18, -18, -21, -16, 
## -18, -17, -17, -16, -18, -17, -20, -18, -20, -21, -22, -21, -23, 
## -23, -22, -22, -20, -22, -19, -20, -19, -19, -18, -19, -20, -19, 
## -23, -22, -20, -18, -18, -16, -17, -19, -22, -22, -22, -24, -21, 
## -20, -19, -16, -20, -18, -20, -21, -21, -19, -21, -21, -20, -18, 
## -23, -20, -18, -19, -21, -20, -17, -19, -20, -19, -17, -18, -23, 
## -16, -18, -17, -14, -19, -20, -17, -17, -13, -18, -18, -19, -21, 
## -22, -22, -16, -18, -21, -24, -22, -20, -18, -18, -19, -19, -19, 
## -19, -18, -19, -18, -18, -17, -17, -18, -17, -14, -19, -20, -22, 
## -20, -19, -22, -15, -23, -17, -21, -18, -18, -22, -22, -21, -18, 
## -22, -15, -16, -22, -22, -16, -17, -19, -21, -16, -17, -22, -17, 
## -21, -20, -16, -17, -14, -17, -16, -19, -19, -18, -20, -20, -20, 
## -22, -22, -21, -20, -16, -17, -19, -18, -18, -17, -18, -19, -19, 
## -18, -21, -20, -14, -14, -14, -12, -19, -21, -22, -22, -22, -19, 
## -18, -21, -22, -21, -23, -21, -22, -22, -19, -22, -21, -17, -22, 
## -22, -15, -19, -21, -19, -17, -20, -20, -16, -21, -18, -13, -13, 
## -18, -27, -24, -21, -18, -21, -21, -19, -15, -19, -23, -24, -23, 
## -22, -23, -20, -15, -12, -15, -17, -20, -19, -18, -20, -19, -19, 
## -20, -19, -20, -12, -14, -18, -23, -24, -24, -24, -23, -21, -19, 
## -19, -19, -22, -23, -23, -24, -23, -21, -12, -13, -16, -18, -11, 
## -23, -16, -20, -19, -16, -14, -19, -17, -23, -23, -19, -18, -17, 
## -20, -19, -15, -17, -19, -17, -16, -15, -18, -21, -18, -20, -17, 
## -17, -14, -17, -18, -17, -18, -19, -22, -20, -17, -10, -25, -24, 
## -24, -26, -21, -19, -19, -20, -18, -23, -19, -11, -15, -22, -11, 
## -12, -23, -20, -18, -20, -16, -19, -23, -21, -15, -22, -21, -20, 
## -15, -25, -18, -20, -19, -21, -14, -18, -19, -18, -20, -20, -24, 
## -23, -21, -19, -14, -19, -18, -17, -19, -21, -19, -20, -18, -18, 
## -16, -21, -23, -25, -23, -18, -20, -18, -17, -19, -21, -19, -21, 
## -17, -18, -20, -19, -18, -17, -21, -18, -19, -19, -19, -19, -18, 
## -17, -20, -19, -17, -21, -22, -23, -26, -18, -21, -17, -17, -21, 
## -15, -13, -14, -17, -19, -18, -23, -22, -23, -22, -19, -19, -18, 
## -17, -20, -17, -21, -20, -19, -20, -23, -17, -16, -19, -23, -22, 
## -19, -20, -20, -17, -23, -22, -23, -16, -19, -20, -20, -19, -16, 
## -16, -17, -21, -22, -22, -18, -11, -14, -22, -26, -26, -24, -22, 
## -18, -20, -19, -21, -23, -18, -21, -21, -19, -19, -23, -24, -20, 
## -24, -24, -16, -10, -17, -20, -20, -20, -20, -20, -17, -22, -16, 
## -14, -21, -18, -26, -24, -23, -21, -22, -21, -19, -19, -19, -17, 
## -22, -24, -24, -21, -22, -22, -18, -20, -20, -16, -19, -15, -19, 
## -20, -18, -18, -17, -18, -19, -20, -22, -23, -23, -20, -24, -25, 
## -26, -23, -22, -21, -21, -21, -18, -19, -18, -20, -19, -20, -22, 
## -19, -22, -19, -21, -26, -10, -23, -16, -19, -20, -18, -17, -17, 
## -17, -19, -16, -18, -18, -19, -20, -20, -20, -21, -20, -21, -20, 
## -20, -20, -22, -22, -21, -20, -21, -20, -20, -21, -19, -19, -20, 
## -22, -21, -21, -21, -20, -19, -20, -21, -21, -19, -21, -22, -19, 
## -23, -21, -19, -20, -21, -21, -22, -19, -20, -20, -21, -21, -20, 
## -21, -20, -22, -21, -21, -21, -21, -20, -22, -20, -21, -21, -19, 
## -19, -20, -21, -20, -19, -18, -19, -20, -19, -21, -20, -16, -15, 
## -16, -14, -14, -14, -15, -15, -16, -15, -14, -14, -15, -16, -15, 
## -16, -16, -16, -15, -15, -15, -14, -15, -14, -16, -15, -15, -17, 
## -16, -15, -15, -15, -16, -16, -15, -14, -15, -15, -16, -17, -15, 
## -14, -15, -15, -14, -15, -15, -14, -15, -14, -14, -15, -18, -17, 
## -16, -17, -17, -17, -16, -14, -16, -17, -16, -13, -11, -8, -15, 
## -19, -23, -25, -30, -20, -15, -13, -14, -13, -20, -16, -13, -12, 
## -12, -13, -11, -14, -14, -14, -17, -19, -22, -25, -20, -14, -12, 
## -12, -13, -19, -15, -14, -13, -16, -20, -23, -16, -12, -14, -15, 
## -19, -18, -17, -15, -15, -15, -16, -16, -16, -16, -17, -17, -15, 
## -16, -16, -14, -17, -17, -14, -14, -15, -23, -23, -19, -10, -15, 
## -16, -25, -24, -28, -24, -22, -21, -12, -8, -7, -18, -24, -23, 
## -20, -16, -13, -14, -13, -14, -15, -18, -17, -17, -18, -18, -14, 
## -16, -16, -15, -17, -19, -20, -16, -15, -17, -20, -11, -10, -12, 
## -14, -16, -21, -18, -15, -15, -15, -15, -17, -16, -16, -18, -16, 
## -16, -15, -14, -16, -15, -17, -17, -17, -16, -19, -17, -17, -18, 
## -16, -15, -14, -14, -14, -15, -13, -15, -14, -13, -14, -15, -16, 
## -15, -17, -16, -11, -9, -12, -14, -14, -14, -11, -11, -14, -14, 
## -13, -19, -17, -16, -19, -18, -15, -14, -12, -14, -13, -11, -11, 
## -11, -13, -13, -15, -15, -8, -12, -14, -13, -13, -25, -24, -15, 
## -15, -15, -12, -12, -15, -14, -16, -14, -13, -11, -9, -8, -12, 
## -11, -11, -13, -15, -16, -12, -12, -13, -13, -9, -10, -10, -11, 
## -13, -9, -7, -14, -14, -16, -12, -15, -17, -13, -13, -16, -15, 
## -16, -17, -15, -17, -14, -13, -12, -11, -13, -13, -4, -6, -17, 
## -21, -22, -23, -20, -10, -11, -12, -13, -15, -15, -16, -16, -14, 
## -14, -14, -12, -11, -12, -12, -15, -13, -12, -10, -22, -18, -11, 
## -12, -21, -18, -17, -17, -13, -11, -11, -14, -13, -12, -13, -15, 
## -14, -14, -11, -12, -13, -13, -14, -8, -13, -12, -14, -4, -5, 
## -8, -10, -11, -10, -12, -17, -16, -17, -17, -14, -16, -13, -14, 
## -14, -13, -14, -13, -10, -9, -32, -12, -12, -8, -4, -5, -6, -9, 
## -11, -10, -12, -14, -17, -15, -16, -14, -14, -16, -17, -16, -13, 
## -13, -9, -8, -12, -12, -11, -5, -3, -21, -11, -11, -11, -9, -12, 
## -13, -13, -17, -17, -14, -7, -13, -15, -17, -7, -4, 0, -1, -21, 
## -12, -13, -10, -9, -6, -8, -10, -11, -14, -9, -19, -19, -17, 
## -17, -14, -12, -12, -13, -13, -13, -9, -11, -8, -20, -18, -9, 
## -12, -14, -19, -21, -16, -13, -14, -15, -17, -15, -13, -12, -10, 
## -9, -12, -15, -12, -13, -10, -10, -15, -14, -13, -13, -11, -12, 
## -11, -13, -13, -13, -14, -16, -16, -13, -11, -12, -12, -13, -12, 
## -9, -7, -5, -8, -9, -13, -18, -17, -17, -14, -14, -11, -13, -11, 
## -12, -12, -13, -13, -15, -15, -13, -12, -12, -12, -13, -16, -14, 
## -11, -7, -15, -13, -15, -15, -13, -12, -11, -12, -13, -12, -19, 
## -14, -14, -13, -13, -13, -12, -13, -11, -9, -10, -10, -13, -14, 
## -14, -21, -16, -11, -13, -13, -14, -14, -13, -14, -13, -12, -10, 
## -15, -15, -19, -18, -14, -11, -9, -9, -10, -12, -11, -12, -12, 
## -15, -16, -22, -25, -14, -14, -15, -13, -14, -15, -17, -16, -20, 
## -19, -22, -24, -23, -24, -23, -19, -13, -13, -14, -15, -14, -13, 
## -10, -5, -12, -21, -24, -20, -18, -13, -13, -15, -14, -15, -16, 
## -16, -15, -12, -12, -15, -17, -15, -12, -13, -15, -14, -12, -12, 
## -13, -14, -16, -16, -14, -12, -13, -12, -12, -13, -18, -15, -16, 
## -14, -13, -13, -20, -19, -17, -15, -15, -17, -12, -12, -4, -5, 
## -9, -18, -17, -16, -8, -10, -16, -18, -16, -18, -15, -11, -12, 
## -11, -10, -12, -13, -14, -14, -14, -14, -13, -13, -17, -22, -14, 
## -15, -15, -16, -13, -9, -9, -15, -20, -21, -19, -22, -15, -13, 
## -13, -13, -11, -12, -12, -7, -3, -12, -17, -18, -17, -18, -18, 
## -20, -9, -9, -8, -9, -11, -16, -19, -21, -16, -16, -17, -14, 
## -10, -9, -12, -13, -16, -17, -16, -11, -15, -19, -17, -2, 0, 
## -15, -16, -14, -17, -20, -15, -14, -15, -13, -12, -12, -13, -11, 
## -7, -9, -11, -10, -10, -12, -14, -12, -12, -13, -13, -14, -13, 
## -11, -14, -12, -13, -13, -13, -13, -12, -11, -14, -14, -13, -15, 
## -13, -11, -14, -13, -13, -13, -12, -12, -18, -16, -20, -11, -11, 
## -12, -10, -8, -12, -11, -13, -13, -11, -11, -12, -12, -10, -10, 
## -9, -13, -11, -10, -11, -9, -11, -8, -12, -12, -11, -12, -10, 
## -11, -11, -12, -9, -9, -11, -14, -13, -13, -12, -11, -12, -11, 
## -10, -13, -9, -11, -11, -11, -11, -13, -14, -16, -13, -11, -13, 
## 49, 51, 51, 51, 49, 47, 48, 49, 49, 50, 49, 47, 47, 51, 49, 47, 
## 46, 45, 46, 48, 51, 49, 48, 48, 49, 50, 50, 49, 48, 47, 46, 47, 
## 47, 49, 48, 48, 49, 48, 52, 52, 49, 49, 46, 46, 50, 50, 49, 50, 
## 49, 48, 48, 49, 48, 47, 49, 48, 49, 48, 49, 47, 48, 49, 49, 50, 
## 49, 49, 50, 49, 49, 51, 49, 49, 47, 47, 48, 50, 49, 50, 49, 47, 
## 48, 47, 50, 49, 49, 48, 48, 48, 46, 46, 48, 48, 48, 49, 48, 48, 
## 45, 45, 45, 47, 49, 49, 49, 50, 47, 47, 47, 49, 49, 48, 48, 47, 
## 46, 48, 50, 48, 47, 47, 45, 52, 51, 47, 46, 48, 48, 48, 48, 47, 
## 48, 49, 50, 52, 52, 52, 47, 47, 49, 48, 48, 47, 44, 43, 43, 43, 
## 48, 46, 46, 46, 49, 48, 49, 50, 50, 47, 47, 49, 49, 48, -68, 
## -64, -64, -63, -61, -61, -61, -62, -61, -64, -63, -65, -64, -64, 
## -64, -63, -62, -63, -64, -65, -64, -63, -63, -64, -65, -65, -64, 
## -65, -65, -66, -12, -37, -32, -17, -19, -25, -57, -66, -64, -62, 
## -52, -52, -54, -15, -13, -15, -34, -33, -19, -12, -24, -29, -31, 
## -24, -25, -25, -26, -27, -29, -29, -27, -28, -29, -30, -29, -30, 
## -32, -29, -29, -30, -30, -30, -29, -29, -28, -30, -30, -27, -28, 
## -29, -28, -28, -28, -26, -26, -28, -34, -26, -41, -40, -38, -22, 
## -15, -15, -16, -15, -15, -11, -7, -3, -4, -6, -11, -12, -12, 
## -12, -13, -18, -18, -19, -18, -17, -18, -19, -19, -19, -25, -21, 
## -23, -24, -24, -24, -21, -28, -26, -26, -26, -25, -27, -32, -33, 
## -32, -32, -31, -31, -32, -34, -30, -29, -24, -25, -24, -26, -25, 
## -19, -21, -18, -14, -16, -20, -22, -17, -19, -17, -19, -25, -24, 
## -19, -16, -17, -20, -21, -19, -18, -15, -19, -21, -22, -23, -22, 
## -23, -22, -22, -21, -29, -20, -21, -24, -27, -25, -23, -25, -24, 
## -21, -22, -23, -23, -23, -24, -23, -22, -23, -26, -27, -24, -29, 
## -28, -29, -30, -27, -26, -25, -26, -24, -25, -28, -29, -28, -24, 
## -29, -30, -27, -24, -22, -23, -18, -23, -23, -22, -22, -23, -18, 
## -20, -19, -24, -25, -22, -27, -24, -25, -26, -24, -23, -28, -21, 
## -21, -23, -25, -27, -27, -26, -24, -24, -21, -19, -22, -23, -23, 
## -26, -27, -28, -25, -25, -25, -25, -27, -22, -27, -29, -27, -24, 
## -28, -28, -27, -28, -27, -28, -28, -23, -21, -22, -24, -24, -30, 
## -32, -25, -22, -21, -25, -25, -26, -26, -22, -21, -14, -23, -19, 
## -24, -25, -25, -27, -28, -21, -22, -24, -23, -20, -19, -22, -23, 
## -23, -21, -23, -26, -25, -21, -20, -22, -24, -24, -26, -29, -32, 
## -24, -19, -17, -17, -19, -22, -24, -24, -25, -26, -24, -24, -23, 
## -23, -25, -25, -23, -25, -22, -22, -22, -19, -21, -27, -29, -30, 
## -20, -21, -25, -24, -27, -26, -29, -28, -25, -25, -26, -24, -24, 
## -27, -25, -26, -23, -24, -23, -24, -25, -23, -22, -24, -26, -29, 
## -28, -24, -22, -23, -27, -28, -20, -19, -21, -19, -24, -24, -19, 
## -17, -23, -26, -28, -26, -22, -20, -23, -24, -19, -21, -18, -22, 
## -25, -26, -22, -21, -24, -24, -22, -23, -25, -25, -23, -20, -21, 
## -22, -23, -25, -24, -24, -24, -25, -24, -23, -21, -18, -21, -23, 
## -21, -21, -22, -19, -21, -21, -21, -22, -19, -19, -23, -25, -21, 
## -20, -19, -20, -21, -27, -26, -22, -21, -20, -21, -23, -25, -27, 
## -24, -22, -24, -22, -22, -23, -22, -22, -22, -23, -19, -19, -26, 
## -23, -23, -23, -18, -17, -18, -21, -24, -26, -22, -20, -15, -17, 
## -15, -18, -20, -21, -20, -25, -24, -23, -26, -23, -28, -26, -23, 
## -22, -17, -17, -19, -20, -21, -20, -25, -24, -23, -22, -21, -23, 
## -23, -25, -22, -21, -18, -16, -21, -22, -21, -21, -20, -19, -23, 
## -22, -23, -22, -21, -22, -22, -27, -23, -26, -22, -24, -22, -19, 
## -13, -16, -23, -17, -16, -20, -18, -17, -24, -23, -17, -22, -18, 
## -17, -18, -21, -21, -21, -20, -24, -23, -24, -20, -19, -13, -20, 
## -19, -18, -17, -15, -21, -21, -21, -20, -21, -21, -20, -22, -21, 
## -26, -23, -22, -23, -26, -24, -25, -29, -26, -25, -24, -19, -20, 
## -20, -19, -20, -21, -19, -20, -22, -20, -21, -22, -23, -23, -21, 
## -25, -23, -18, -17, -20, -23, -24, -20, -24, -22, -20, -17, -19, 
## -19, -18, -26, -18, -22, -20, -18, -20, -20, -19, -18, -21, -20, 
## -20, -21, -25, -24, -23, -22, -23, -28, -19, -21, -21, -20, -19, 
## -18, -22, -22, -21, -26, -24, -24, -24, -24, -26, -24, -22, -25, 
## -25, -30, -28, -30, -25, -26, -25, -25, -26, -24, -23, -22, -20, 
## -22, -26, -22, -24, -28, -23, -21, -23, -20, -20, -23, -25, -21, 
## -21, -26, -29, -28, -26, -25, -25, -20, -19, -23, -20, -18, -23, 
## -22, -23, -26, -26, -23, -24, -24, -26, -24, -20, -22, -25, -23, 
## -21, -23, -22, -24, -26, -28, -26, -24, -23, -22, -23, -24, -26, 
## -28, -24, -21, -22, -24, -29, -28, -25, -25, -24, -25, -25, -26, 
## -24, -23, -22, -24, -23, -24, -22, -23, -25, -22, -24, -20, -19, 
## -22, -25, -25, -25, -23, -23, -24, -24, -24, -22, -23, -24, -24, 
## -19, -21, -21, 49, 46, 47, 47, 49, 45, 50, 52, 49, 48, 48, 47, 
## 50, 51, 49, 48, 47, 47, 49, 49, 49, 47, 48, 47, 48, 49, 48, 47, 
## 49, 49, 46, 46, 46, 48, 47, 48, 48, 47, 47, 49, 51, 50, 52, 53, 
## 51, 47, 47, 46, 51, 52, 52, 51, 50, 50, 47, 47, 48, 47, 48, 49, 
## 50, 49, 49, 49, 49, 49, 50, 51, 52, 51, 50, 49, 48, 50, 49, 48, 
## 47, 47, 48, 50, 48, 47, 47, 48, 48, 50, 49, 49, 48, 46, 53, 53, 
## 52, 53, 49, 50, 49, 48, 51, 49, 47, 47, 45, 49, -26, -25, -26, 
## -30, -30, -28, -20, -17, -23, -21, -24, -27, -28, -25, -25, -24, 
## -23, -25, -25, -26, -26, -26, -27, -27, -27, -23, -24, -24, -23, 
## -24, -24, -22, -24, -25, -25, -23, -23, -24, -24, -22, -21, -24, 
## -23, -21, -21, -22, -23, -25, -27, -25, -20, -28, -26, -26, -26, 
## -26, -28, -27, -27, -24, -23, -26, -23, -19, -27, -21, -20, -19, 
## -23, -22, -20, -21, -24, -18, -25, -21, -27, -22, -19, -21, -17, 
## -16, -26, -23, -17, -16, -17, -20, -25, -25, -26, -24, -24, -26, 
## -24, -22, -23, -22, -23, -23, -24, -24, -24, -24, -21, -23, -24, 
## -19, -24, -24, -25, -24, -65, -66, -63, -66, -63, -64, -42, -37, 
## -44, -46, -37, -30, -16, -15, -24, -27, -26, -25, -12, -15, -14, 
## -14, -14, -14, -17, -14, -13, -16, -15, -14, -13, -15, -13, -15, 
## -16, -15, -12, -14, -15, -16, -14, -11, -15, -15, -18, -16, -14, 
## -16, -15, -15, -15, -16, -14, -15, -16, -18, -19, -17, -18, -15, 
## -13, -11, -14, -17, -18, -18, -16, -14, -11, -19, -8, -9, -8, 
## -7, -7, -8, -13, -9, -8, -13, -12, -7, -4, -3, -4, -8, -12, -15, 
## -15, -9, -7, -14, -14, -10, -11, -10, -10, -7, -9, -6, -6, -6, 
## -6, -7, -9, -7, -7, -9, -8, -11, -11, -8, -8, -6, -6, -5, -5, 
## -13, -14, -10, -10, -7, -8, -9, -9, -12, -12, -7, -7, -6, -3, 
## -10, -8, -9, -10, -8, -8, -8, -9, -9, -10, -11, -10, -11, -8, 
## -7, -8, -7, -9, -10, -8, -9, -11, -9, -8, -8, -8, -10, -12, -10, 
## -9, -7, -7, -7, -8, -8, -9, -10, -10, -11, -12, -15, -14, -10, 
## -8, -8, -9, -13, -11, -9, -8, -8, -9, -11, -10, -11, -11, -10, 
## -9, -9, -10, -12, -10, -10, -9, -13, -13, -13, -12, -8, -10, 
## -17, -17, -13, -9, -7, -8, -9, -16, -10, -12, -15, -12, -14, 
## -13, -15, -15, -14, -13, -14, -14, -12, -15, -10, -7, -5, -7, 
## -10, -11, -17, -16, -14, -11, -13, -11, -10, -11, -10, -13, -12, 
## -12, -12, -12, -11, -13, -13, -13, -11, -12, -14, -12, -12, -11, 
## -10, -12, -13, -12, -13, -11, -12, -13, -13, -11, -11, -11, -13, 
## -13, -12, -12, -14, -14, -13, -10, -11, -8, -8, -10, -13, -13, 
## -14, -16, -39, -37, -34, -33, -34, -35, -43, -42, -44, -43, -43, 
## -43, -49, -42, -48, -44, -42, -39, -40, -40, -41, -41, -41, -40, 
## -42, -41, -42, -44, -40, -39, -40, -42, -40, -38, -35, -31, -33, 
## -35, -39, -41, -44, -44, -43, -37, -37, -38, -36, -37, -36, -39, 
## -44, -44, -43, -43, -44, -45, -44, -43, -44, -42, -40, -40, -41, 
## -40, -41, -42, -44, -41, -42, -39, -43, -41, -42, -42, -39, -40, 
## -41, -38, -38, -34, -32, -41, -42, -42, -40, -42, -40, -43, -41, 
## -39, -39, -38, -42, -41, -41, -39, -42, -40, -41, -40, -40, -43, 
## -44, -42, -42, -44, -39, -38, -37, -41, -50, -45, -22, -12, -16, 
## -23, -22, -19, -22, -15, -19, -18, -19, -18, -20, -23, -22, -20, 
## -20, -21, -23, -23, -22, -23, -20, -20, -19, -15, -16, -18, -21, 
## -20, -20, -43, -39, -40, -39, -40, -39, -42, -40, -44, -46, -43, 
## -43, -42, -44, -43, -39, -37, -40, -41, -40, -39, -39, -34, -31, 
## -34, -38, -44, -46, -45, -44, -45, -43, -41, -52, -51, -41, -45, 
## -45, -39, -41, -43, -44, -46, -40, -40, -43, -44, -45, -40, -40, 
## -41, -42, -43, -44, -45, -42, -42, -45, -41, -38, -41, -39, -41, 
## -43, -42, -43, -45, -42, -43, -40, -40, -36, -35, -32, -30, -30, 
## -40, -45, -49, -44, -44, -47, -43, -43, -46, -46, -48, -46, -45, 
## -43, -42, -39, -39, -40, -41, -41, -47, -45, -43, -41, -41, -34, 
## -38, -43, -41, -38, -36, -39, -42, -44, -34, -32, -29, -25, -32, 
## -46, -40, -40, -44, -48, -46, -43, -41, -41, -47, -45, -44, -49, 
## -45, -41, -39, -37, -38, -39, -35, -44, -42, -41, -43, -45, -42, 
## -41, -41, -42, -40, -40, -41, -36, -44, -46, -48, -48, -38, -39, 
## -42, -43, -37, -35, -41, -34, -34, -32, -32, -31, -31, -34, -38, 
## -41, -37, -39, -40, -54, -45, -44, -40, -35, -33, -30, -30, -43, 
## -43, -39, -38, -42, -41, -40, -39, -40, -42, -42, -39, -39, -38, 
## -39, -41, -40, -42, -39, -39, -39, -40, -40, -44, -38, -45, -43, 
## -41, -36, -35, -33, -31, -32, -41, -44, -43, -43, -42, -37, -53, 
## -53, -52, -52, -49, -47, -43, -36, -42, -40, -41, -45, -48, -45, 
## -40, -36, -36, -43, -45, -44, -42, -41, -41, -47, -46, -44, -39, 
## -34, -34, -37, -40, -41, -41, -45, -44, -45, -42, -42, -32, -28, 
## -29, -32, -44, -42, -42, -49, -44, -44, -41, -43, -42, -39, -39, 
## -38, -39, -38, -35, -41, -41, -42, -46, -46, -42, -38, -35, -29, 
## -28, -30, -31, -36, -41, -37, -39, -42, -40, -40, -42, -44, -46, 
## -50, -48, -45, -46, -46, -38, -41, -43, -39, -37, -39, -41, -43, 
## -44, -46, -42, -43, -44, -38, -37, -45, -41, -43, -41, -40, -38, 
## -38, -40, -42, -41, -40, -49, -43, -40, -40, -38, -38, -36, -33, 
## -30, -29, -26, -31, -33, -34, -40, -40, -35, -43, -51, -48, -49, 
## -39, -38, -36, -45, -43, -40, -39, -35, -31, -40, -41, -36, -37, 
## -41, -40, -39, -47, -47, -49, -55, -53, -41, -45, -43, -44, -42, 
## -36, -37, -37, -35, -33, -43, -35, -40, -45, -47, -45, -38, -45, 
## -42, -38, -41, -42, -39, -39, -42, -40, -42, -41, -40, -42, -40, 
## -40, -41, -43, -40, -32, -32, -28, -35, -38, -36, -39, -43, -40, 
## -47, -51, -49, -48, -47, -45, -44, -41, -36, -39, -40, -39, -41, 
## -40, -42, -43, -43, -29, -33, -35, -39, -40, -40, -39, -37, -38, 
## -46, -20, -7, -9, -8, -8, -8, -9, -11, -10, -8, -7, -6, -7, -8, 
## -8, -6, -8, -5, -2, -2, -5, -7, -8, -9, -7, -7, -5, -6, -6, -5, 
## -6, -8, -7, -6, -6, -6, -5, -4, -5, -6, -7, -7, -2, -7, -7, -8, 
## -11, -13, -10, -8, -6, -7, -7, -6, -6, -7, -11, -8, -8, -8, -8, 
## -6, -10, -9, -9, -6, -5, -6, -5, -7, -9, -9, -16, -14, -9, -10, 
## -11, -8, -7, -4, -5, -7, -8, -8, -7, -8, -7, -6, -8, -7, -6, 
## -7, -7, -6, -6, -4, -6, -14, -15, -14, -14, -7, -7, -6, -6, -6, 
## -6, -3, -6, -7, -7, -7, -8, -5, -4, -6, -6, -7, -3, -4, -5, -7, 
## -7, -7, -9, -7, -6, -6, -8, -7, -2, -5, -5, -3, -3, -5, -6, -8, 
## -7, -7, -7, -7, -2, -1, -3, -10, -8, -11, -8, -8, -5, -5, -5, 
## -8, -5, -5, -6, -6, -10, -7, -3, -4, -5, -4, -6, -6, -7, -4, 
## -4, -8, -7, -7, -12, -14, -15, -8, -6, -2, -1, -3, -6, -9, -7, 
## -8, -9, -12, -10, -10, -12, -10, -3, -7, -7, -8, -11, -11, -9, 
## -8, -7, -6, -6, -6, -5, -4, -7, -9, -8, -7, -6, -6, -8, -7, -10, 
## -7, -5, -6, -2, -6, -4, -6, -6, -7, -8, -8, -9, -10, -8, -5, 
## 0, -4, -7, -8, -11, -7, -6, -4, -2, -3, -6, -6, -8, -6, -7, -6, 
## -7, -9, -8, -10, -8, -9, -7, -7, -5, -2, -6, -5, -5, -6, -7, 
## -8, -6, -3, 1, 3, -7, -8, -7, -6, -5, -2, -2, -3, -6, -6, -9, 
## -11, -9, -5, -3, -4, -2, -3, -1, -6, -8, -5, -1, 0, 1, -8, -10, 
## -17, -10, -9, -10, -6, 2, -2, -3, -5, -5, -6, -7, -6, -8, -8, 
## -7, -5, -5, -6, -6, -7, -7, -7, -5, -4, -7, -7, -6, -6, -6, -4, 
## -3, -3, -5, -7, -5, -5, -8, -7, -9, -9, -7, -6, -6, -4, -6, -6, 
## -7, -8, -7, -9, -12, -12, -8, -7, -6, -4, -6, -9, -10, -12, -11, 
## -11, -8, -6, -5, -4, -4, -3, -7, -7, -7, -9, -14, -13, -13, -12, 
## -11, -9, -6, -6, -7, -6, -3, -7, -6, -4, -6, -8, -8, -9, -10, 
## -11, -7, -7, -6, -7, -6, -4, -4, -7, -9, -9, -10, -4, -5, -6, 
## -6, -7, -9, -8, -10, -6, -5, -5, -6, -7, -6, -6, -7, -7, -7, 
## -7, -5, -4, -4, -2, -5, -6, -5, -5, -4, -4, -6, -8, -4, -3, -3, 
## -6, -4, -7, -8, -7, -7, -7, -9, -7, -2, -4, -5, -6, -5, -5, -5, 
## -6, -7, -8, -7, -5, -19, -21, -14, -18, -21, -22, -21, -21, -19, 
## -18, -18, -21, -20, -18, -18, -16, -15, -15, -16, -16, -17, -16, 
## -17, -18, -19, -20, -18, -19, -19, -17, -16, -15, -17, -17, -18, 
## -18, -17, -21, -18, -21, -21, -19, -18, -17, -18, -18, -18, -16, 
## -17, -10, -15, -22, -12, -13, -15, -19, -19, -20, -21, -23, -23, 
## -17, -17, -21, -23, -21, -20, -18, -18, -16, -16, -17, -17, -15, 
## -17, -17, -10, -11, -13, -17, -25, -17, -16, -17, -12, -17, -13, 
## -14, -16, -21, -22, -22, -20, -16, -18, -16, -13, -18, -17, -15, 
## -13, -12, -18, -17, -18, -18, -20, -17, -23, -20, -13, -16, -14, 
## -15, -10, -18, -20, -17, -14, -19, -20, -22, -24, -23, -22, -18, 
## -14, -12, -14, -18, -19, -18, -15, -16, -14, -17, -16, -15, -17, 
## -21, -17, -17, -18, -16, -16, -18, -17, -19, -19, -18, -17, -14, 
## -14, -14, -16, -16, -16, -16, -15, -14, -14, -19, -19, -16, -18, 
## -14, -16, -21, -19, -18, -20, -19, -20, -16, -21, -15, -16, -16, 
## -19, -16, -17, -16, -16, -17, -18, -19, -21, -21, -19, -21, -19, 
## -17, -19, -18, -14, -18, -14, -15, -16, -13, -17, -16, -16, -22, 
## -23, -17, -12, -16, -21, -19, -20, -19, -17, -19, -17, -16, -17, 
## -18, -20, -18, -21, -18, -18, -15, -16, -16, -18, -17, -17, -18, 
## -16, -17, -19, -18, -18, -19, -18, -19, -18, -21, -18, -16, -16, 
## -17, -16, -15, -15, -17, -17, -17, -13, -14, -14, -18, -21, -21, 
## -21, -21, -21, -21, -13, -11, -10, -10, -13, -17, -19, -21, -21, 
## -20, -17, -17, -13, -14, -14, -15, -16, -19, -19, -16, -16, -17, 
## -16, -15, -10, -15, -17, -18, -19, -20, -22, -24, -23, -18, -17, 
## -16, -19, -18, -17, -16, -14, -15, -14, -13, -14, -19, -17, -19, 
## -17, -19, -14, -13, -16, -20, -19, -18, -16, -22, -23, -21, -16, 
## -17, -17, -18, -17, -15, -15, -16, -15, -14, -15, -17, -17, -17, 
## -16, -15, -20, -14, -16, -19, -15, -11, -19, -25, -22, -19, -17, 
## -19, -18, -20, -15, -15, -14, -18, -18, -21, -20, -19, -14, -13, 
## -15, -22, -23, -23, -21, -22, -23, -21, -22, -19, -11, 4, -4, 
## -18, -25, -25, -18, -18, -19, -19, -17, -17, -18, -18, -20, -21, 
## -20, -16, -13, -13, -17, -15, -11, -8, -18, -17, -18, -16, -13, 
## -13, -16, -16, -12, -12, -11, -11, -18, -18, -18, -12, -16, -15, 
## -15, -14, -15, -17, -16, -16, -13, -15, -12, -12, -11, -8, -9, 
## -14, -12, -18, -15, -16, -14, -14, -13, -15, -16, -15, -15, -15, 
## -13, -12, -11, -15, -14, -14, -12, -10, -9, -11, -12, -15, -17, 
## -13, -10, -12, -13, -14, -12, -7, -9, -4, -5, -7, -13, -16, -20, 
## -16, -7, -12, -22, -15, -16, -10, -12, -11, -11, -13, -9, -6, 
## -8, -7, -4, -19, -17, -19, -18, -15, -17, -16, -15, -14, -14, 
## -11, -9, -9, -11, -10, -12, -12, -10, -10, -13, -7, -7, -8, -9, 
## -13, -14, -11, -10, -14, -17, -14, -15, -14, -8, -7, 0, -6, -16, 
## -15, -13, -15, -14, -21, -26, -15, -20, -17, -12, -14, -13, -8, 
## -13, -13, -9, -10, -12, -16, -8, -11, -10, -11, -13, -19, -13, 
## -11, -12, -11, -11, -13, -12, -7, -8, -7, -6, -4, -7, -11, -17, 
## -16, -10, -10, -14, -21, -20, -8, -7, -9, -13, -14, -13, -11, 
## -14, -17, -11, -11, -8, -6, 1, -2, -13, -13, -10, -14, -17, -18, 
## -18, -19, -14, -9, -7, -12, -13, -15, -19, -16, -14, -14, -13, 
## -10, -8, -14, -13, -12, -13, -12, -16, -15, -15, -8, -7, -6, 
## -8, -11, -14, -11, -7, -10, -15, -10, -13, -10, -10, -15, -19, 
## -26, -27, -21, -18, -15, -13, -13, -14, -14, -10, -11, -9, -14, 
## -21, -17, -10, -18, -15, -15, -11, -8, -10, -13, -14, -22, -10, 
## -6, -8, -12, -13, -14, -12, -7, -5, -4, -12, -14, -16, -10, -9, 
## -12, -20, -22, -17, -19, -9, -9, -11, -12, -11, -11, -12, 6, 
## 2, -8, -12, -24, -7, -4, -11, -14, -17, -15, -23, -16, -13, -14, 
## -15, -8, -6, -2, 5, -3, -24, -29, -15, -15, -12, -13, -13, -2, 
## 3, -3, -15, -15, -14, -16, -16, -13, -15, -15, -16, -3, -8, -6, 
## -9, -13, -10, -11, -8, -7, -7, -22, -19, -1, -8, -3, -10, -14, 
## -14, -14, -13, -10, -12, -6, -3, -4, -3, -2, -7, -8, -8, -12, 
## -14, -10, -7, -8, -6, 0, -6, -17, -14, -7, -26, -26, -14, -2, 
## 7, 2, -7, -18, -11, -17, -25, -23, -14, -13, -8, -6, -5, -8, 
## -8, -15, -12, -18, -13, -2, -6, -3, -9, -9, -9, -9, -8, -9, 0, 
## -1, -8, -10, -12, -13, -12, -11, -17, -30, -26, -18, -12, -9, 
## -8, -11, -9, -14, -14, -14, -13, -16, -17, -16, -15, -18, -15, 
## -15, -16, -15, -13, -11, -13, -13, -9, -12, -14, -18, -22, -19, 
## -17, -19, -16, -16, 49, 53, 55, 52, 53, 47, 49, 48, 44, 44, 47, 
## 51, 52, 51, 50, 50, 52, 52, 52, 56, 51, 48, 49, 49, 50, 48, 51, 
## 56, 56, 53, 52, 45, 46, 47, 49, 52, 50, 47, 49, 54, 53, 51, 49, 
## 50, 51, 45, 49, 48, 48, 48, 52, 51, 54, 52, 52, 50, 50, 52, 51, 
## 52, 50, 50, 51, 51, 49, 50, 51, 47, 50, 51, 52, 52, 48, 52, 49, 
## 50, 51, 50, 48, 49, 48, 50, 51, 52, 51, 51, 51, 49, 52, 54, 55, 
## 51, 48, 49, 52, 52, 55, 56, 54, 53, 52, 49, 48, 53, 47, 47, 52, 
## 55, 46, 48, 50, 53, 50, 47, 49, 48, 46, 50, 54, 51, 48, 48, 49, 
## 51, 51, 51, 51, 50, 51, 51, 49, 50, 51, 53, 49, 50, 49, 48, 47, 
## 46, 49, 52, 52, 53, 52, 50, 48, 50, 51, 51, 52, 54, 55, 52, 50, 
## 51, 51, 48, 49, 49, 52, 53, 50, 49, 48, 49, 52, 52, 52, 53, 51, 
## 53, 54, 53, 52, 45, 46, 51, 52, 53, 47, 49, 52, 52, 51, 51, 48, 
## 47, 50, 52, 53, 52, 49, 48, 50, 48, 50, 51, 50, 51, 49, 50, 49, 
## 51, 51, 49, 48, 48, 49, 50, 53, 51, 51, 52, 50, 53, 49, 49, 52, 
## 53, 51, 50, 49, 47, 50, 48, 49, 50, 51, 51, 50, 50, 49, 50, 50, 
## 49, 47, 47, 51, 51, 53, 48, 47, 49, 48, 47, 48, 51, 51, 50, 49, 
## 50, 50, 49, 48, 48, 50, 50, 51, 52, 49, 50, 48, 48, 49, 51, 49, 
## 51, 50, 51, 51, 51, 49, 50, 49, 49, 48, 48, 47, 52, 52, 51, 53, 
## 51, 49, 48, 48, 54, 50, 50, 50, 51, 49, 51, 55, 52, 51, 49, 49, 
## 47, 47, 48, 50, 50, 52, 53, 53, 53, 53, 50, 49, 51, 51, 51, 52, 
## 50, 50, 50, 50, 51, 51, 52, 52, 49, 49, 50, 49, 50, 51, 52, 52, 
## 53, 53, 52, 48, 51, 48, 48, 50, 51, 51, 50, 49, 50, 50, 51, 52, 
## 52, 52, 51, 50, 50, 51, 52, 48, 48, 48, 51, 53, 50, 50, 48, 50, 
## 51, 50, 52, 49, 49, 50, 53, 53, 49, 49, 46, 48, 49, 47, 47, 50, 
## 51, 49, 49, 51, 54, 53, 54, 55, 55, 53, 52, 53, 52, 53, 51, 52, 
## 50, 50, 51, 52, 50, 51, 52, 53, 52, 53, 51, 52, 49, 49, 48, 43, 
## 42, 43, 46, 54, 57, 58, 59, 57, 54, 55, 53, 54, 55, 56, 60, 74, 
## 54, 54, 47, 48, 54, 54, 48, 60, 56, 52, 53, 59, 51, 45, 47, 52, 
## 54, 53, 46, 46, 49, 50, 49, 52, 52, 52, 46, 45, 45, 47, 45, 41, 
## 46, 47, 50, 41, 31, 33, 34, 32, 26, 29, 35, 37, 35, 33, 27, 24, 
## 30, 41, 49, 49, 58, 48, 62, 64, 59, 60, 59, 56, 56, 50, 52, 53, 
## 57, 53, 47, 47, 47, 50, 52, 51, 49, 48, 47, 46, 46, 42, 42, 40, 
## 42, 44, 41, 45, 42, 50, 52, 53, 53, 53, 55, 52, 50, 50, 52, 52, 
## 53, 49, 46, 46, 49, 49, 51, 52, 53, 50, 51, 49, 47, 48, 48, 48, 
## 50, 51, 51, 50, 51, 50, 47, 49, 48, 45, 53, 53, 54, 51, 53, 52, 
## 50, 51, 51, 52, 51, 51, 52, 48, 46, 46, 48, 49, 51, 49, 50, 49, 
## 50, 50, 50, 54, 53, 51, 50, 53, 51, 50, 54, 53, 49, 48, 49, 49, 
## 47, 47, 53, 51, 50, 51, 51, 52, 52, 50, 50, 51, 50, 49, 49, 50, 
## 51, 53, 49, 49, 48, 49, 51, 53, 49, 49, 47, 49, 49, 50, 47, 53, 
## 53, 52, 48, 47, 48, 44, 42, 54, 57, 47, 48, 49, 49, 48, 47, 50, 
## 48, 50, 51, 52, 53, 51, 49, 48, 48, 49, 50, 51, 51, 52, 53, 55, 
## 57, 50, 48, 46, 41, 43, 45, 45, 43, 45, 50, 51, 52, 51, 50, 51, 
## 53, 56, 58, 57, 57, 58, 53, 53, 51, -23, -22, -22, -20, -20, 
## -16, -26, -24, -19, -24, -19, -19, -26, -27, -31, -26, -22, -19, 
## -18, -18, -17, -19, -22, -21, -24, -23, -24, -23, -26, -27, -31, 
## -31, -32, -30, -26, -23, -24, -24, -20, -20, -21, -19, -18, -19, 
## -18, -20, -20, -19, -22, -27, -27, -19, -18, -22, -21, -21, -20, 
## -21, -22, -23, -23, -26, -25, -23, -24, -22, -19, -21, -20, -20, 
## -22, -18, -20, -19, -20, -20, -22, -21, -21, -19, -20, -19, -19, 
## -18, -20, -21, -21, -24, -26, -25, -22, -21, -20, -20, -21, -21, 
## -21, -24, -24, -24, -23, -23, -20, -20, -20, -20, -23, -25, -25, 
## -26, -27, -28, -28, -20, -22, -21, -20, -19, -18, -17, -19, -22, 
## -23, -22, -20, -18, -17, -21, -22, -22, -23, -20, -22, -25, -27, 
## -21, -23, -25, -23, -22, -20, -20, -21, -19, -19, -21, -15, -18, 
## -22, -23, -23, -22, -21, -21, -20, -20, -18, -17, -17, -15, -17, 
## -25, -22, -22, -24, -21, -23, -23, -21, -18, -18, -17, -23, -23, 
## -24, -24, -22, -25, -24, -23, -26, -26, -24, -25, -25, -24, -24, 
## -27, -25, -21, -22, -24, -24, -24, -22, -22, -23, -22, -21, -19, 
## -17, -15, -13, -14, -16, -15, -15, -19, -23, -23, -22, -22, -22, 
## -21, -21, -20, -22, -23, -24, -21, -23, -21, -21, -24, -24, -19, 
## -21, -20, -20, -22, -22, -17, -19, -20, -23, -24, -26, -25, -24, 
## -25, -23, -21, -21, -24, -23, -20, -18, -19, -21, -21, -21, -20, 
## -22, -22, -24, -23, -24, -21, -22, -22, -21, -22, -22, -24, -25, 
## -23, -25, -24, -23, -22, -21, -22, -25, -24, -22, -23, -19, -18, 
## -19, -22, -27, -27, -23, -21, -21, -22, -20, -21, -22, -21, -21, 
## -22, -21, -20, -20, -22, -21, -19, -16, -17, -15, -19, -20, -23, 
## -23, -22, -21, -22, -22, -23, -23, -22, -23, -20, -21, -20, -20, 
## -19, -18, -22, -21, -22, -23, -23, -23, -23, -21, -22, -23, -22, 
## -22, -25, -22, -22, -22, -21, -19, -20, -20, -21, -23, -26, -26, 
## -27, -26, -26, -24, -23, -23, -22, -22, -22, -23, -21, -23, -21, 
## -20, -21, -24, -30, -27, -27, -25, -27, -24, -21, -21, -20, -19, 
## -19, -20, -20, -19, -20, -20, -19, -17, -15, -19, -20, -18, -23, 
## -22, -19, -18, -19, -22, -20, -22, -22, -26, -24, -22, -21, -20, 
## -20, -19, -19, -21, -20, -21, -21, -21, -21, -17, -17, -19, -26, 
## -30, -25, -24, -27, -26, -25, -23, -21, -18, -18, -20, -21, -21, 
## -19, -20, -21, -21, -22, -20, -20, -16, -16, -16, -15, -12, -13, 
## -16, -18, -19, -17, -18, -17, -20, -17, -22, -23, -21, -20, -16, 
## -16, -18, -18, -19, -20, -20, -23, -21, -21, -19, -21, -23, -22, 
## -23, -21, -20, -19, -17, -18, -19, -19, -19, -19, -21, -22, -22, 
## -21, -21, -20, -16, -4, -7, -18, -19, -22, -22, -20, -23, -23, 
## -19, -19, -18, -17, -17, -18, -17, -17, -20, -21, -20, -19, -21, 
## -26, -28, -25, -20, -16, -15, -17, -19, -21, -22, -16, -17, -17, 
## -17, -20, -20, -18, -18, -21, -28, -25, -23, -22, -24, -23, -23, 
## -22, -21, -24, -20, -18, -19, -17, -16, -16, -17, -18, -20, -22, 
## -22, -22, -20, -21, -19, -21, -22, -23, -19, -18, -20, -21, -20, 
## -21, -18, -14, -17, -17, -19, -20, -22, -23, -17, -17, -17, -20, 
## -21, -22, -21, -22, -22, -21, -21, -19, -19, -19, -16, -16, -15, 
## -18, -21, -16, -17, -21, -19, -19, -18, -18, -20, -21, -22, -22, 
## -21, -22, -20, -19, -18, -19, -19, -18, -18, -18, -17, -17, -16, 
## -21, -19, -18, -19, -21, -21, -22, -24, -23, -19, -19, -21, -21, 
## -19, -15, -10, -18, -18, -18, -17, -17, -18, -21, -16, -14, -21, 
## -19, -18, -18, -18, -20, -19, -17, -18, 48, 48, 50, 50, 49, 49, 
## 52, 47, 49, 49, 51, 48, 48, 48, 48, 49, 51, 49, 45, 47, 49, 52, 
## 52, 51, 50, 50, 51, 52, 52, 51, 50, 49, 51, 52, 49, 52, 50, 47, 
## 46, 50, 49, 48, 53, 52, 44, 44, 51, 52, 52, 52, 50, 51, 51, 50, 
## 50, 53, 53, 51, 50, 51, 51, 49, 47, 47, 45, 47, 49, 52, 52, 49, 
## 53, 52, 51, 47, 45, 50, 51, 53, 53, 51, 52, 53, 49, 47, 49, 49, 
## 49, 51, 52, 53, 56, 55, 52, 52, 46, 47, 53, 52, 51, 49, -19, 
## -20, -20, -19, -18, -19, -19, -22, -24, -25, -25, -27, -28, -27, 
## -27, -25, -21, -20, -19, -21, -20, -23, -22, -23, -22, -21, -23, 
## -22, -23, -22, -22, -20, -19, -20, -21, -21, -19, -18, -20, -19, 
## -18, -17, -17, -18, -22, -17, -23, -20, -22, -21, -21, -23, -21, 
## -20, -25, -24, -26, -21, -24, -24, -22, -24, -24, -25, -24, -24, 
## -23, -24, -24, -23, -21, -21, -19, -14, -14, -15, -13, -15, -17, 
## -22, -22, -23, -23, -21, -21, -20, -20, -23, -21, -20, -22, -22, 
## -26, -26, -25, -23, -18, -28, -28, -27, -28, -22, -23, -26, -26, 
## -25, -24, -20, -12, -13, -15, -17, -15, -15, -14, -16, -15, -14, 
## -12, -12, -10, -11, -13, -15, -19, -21, -19, -17, -5, -5, -8, 
## -5, -2, -2, -12, -16, -8, -8, -11, -13, -15, -16, -15, -14, -14, 
## -13, -10, -7, -9, -14, -16, -16, -22, -18, -20, -13, -13, -9, 
## -1, -12, -14, -12, -3, -1, 3, 1, -12, -14, -18, -14, -13, -14, 
## -16, -26, -14, -18, -7, -7, -8, -17, -15, -8, -7, -3, -7, -12, 
## -14, -9, -10, -13, -14, -13, -13, -13, -15, -17, -25, -17, -14, 
## -14, -13, -8, -10, -8, -8, -9, -10, -18, -16, -18, -13, -14, 
## -15, -20, -16, -14, -11, -4, -6, -6, -10, -15, -20, -18, -14, 
## -7, -14, -13, -12, -18, -17, -17, -16, -14, -10, -5, -6, -4, 
## -7, -8, -8, -10, -9, -9, -11, -9, -8, -6, -3, -5, -6, -8, -9, 
## -7, -9, -8, -8, -11, -9, -8, -9, -8, -8, -5, -4, -9, -7, -6, 
## -4, -5, -5, -7, -7, -7, -8, -8, -7, -5, -6, -6, -7, -8, -10, 
## -12, -5, -7, -7, 2, -1, -2, -1, -6, -7, -6, -5, -6, -3, -2, -4, 
## -5, -7, -11, -13, -6, -6, 0, -1, -4, -7, -10, -7, -8, -5, -8, 
## -7, -10, -5, -6, -5, -7, -7, -7, -9, -13, -12, -11, -10, -7, 
## -7, -3, -4, -5, -7, -7, -7, -10, -10, -8, -9, -6, -8, -6, -8, 
## -8, -9, -7, -7, -5, -3, -8, -8, -7, -5, -5, -7, -7, -9, -6, -5, 
## -6, -5, -5, -11, -10, -9, -10, -9, -7, -8, -8, -6, -9, -13, -8, 
## -10, -12, -10, -10, -7, -5, -48, -44, -43, -42, -40, -37, -36, 
## -38, -42, -43, -40, -40, -41, -40, -39, -37, -36, -46, -44, -44, 
## -41, -43, -41, -39, -39, -43, -43, -41, -40, -46, -44, -40, -36, 
## -38, -38, -30, -32, -32, -33, -37, -38, -37, -41, -44, -42, -43, 
## -45, -49, -45, -41, -52, -48, -49, -41, -43, -41, -41, -39, -40, 
## -45, -44, -42, -42, -40, -13, -12, -12, -14, -14, -15, -16, -14, 
## -16, -14, -13, -13, -11, -12, -12, -12, -12, -12, -13, -11, -19, 
## -23, -22, -21, -19, -19, -24, -24, -24, -23, -19, -14, -10, -9, 
## -10, -12, -14, -13, -14, -13, -14, -16, -12, -16, -13, -15, -14, 
## -15, -15, -12, -17, -18, -17, -14, -13, -11, -12, -13, -25, -15, 
## -14, -14, -12, -14, -14, -11, -17, -16, -17, -20, -19, -16, -18, 
## -11, -13, -16, -16, -15, -17, -19, -19, -18, -16, -18, -20, -16, 
## -14, -21, -19, -18, -17, -14, -17, -16, -17, -16, -16, -12, -12, 
## -13, -16, -19, -20, -18, -18, -15, -11, -10, -17, -11, -17, -19, 
## -14, -11, -21, -21, -20, -18, -16, -17, -16, -18, -20, -20, -18, 
## -14, -14, -19, -21, -21, -20, -16, -13, -15, -12, -13, -17, -16, 
## -18, -16, -20, -21, -19, -12, -16, -18, -20, -20, -21, -20, -21, 
## -18, -19, -14, -17, -16, -14, -17, -15, -16, -17, -14, -18, -20, 
## -18, -20, -20, -19, -18, -17, -15, -22, -14, -15, -14, -12, -10, 
## -14, -16, -25, -24, -19, -19, -20, -22, -22, -19, -18, -17, -19, 
## -17, -13, -17, -15, -14, -16, -17, -17, -19, -17, -15, -14, -15, 
## -11, -16, -17, -19, -22, -18, -16, -20, -17, -14, -14, -16, -41, 
## -46, -49, -45, -43, -42, -41, -41, -38, -35, -38, -40, -39, -40, 
## -41, -38, -42, -42, -40, -40, -37, -42, -41, -41, -38, -37, -41, 
## -41, -41, -41, -39, -38, -38, -41, -37, -41, -40, -38, -37, -42, 
## -42, -41, -39, -40, -38, -38, -37, -42, -43, -42, -44, -44, -38, 
## -36, -41, -41, -44, -42, -42, -42, -40, -38, -40, -40, -40, -40, 
## -42, -41, -39, -39, -40, -40, -42, -43, -43, -40, -38, -35, -32, 
## -38, -37, -39, -44, -42, -40, -40, -38, -40, -39, -40, -40, -38, 
## -44, -43, -40, -44, -42, -38, -37, -37, -40, -42, -45, -43, -43, 
## -37, -35, -40, -38, -40, -45, -40, -37, -36, -37, -40, -44, -40, 
## -38, -36, -39, -46, -45, -41, -39, -47, -46, -42, -40, -40, -40, 
## -36, -43, -41, -37, -37, -38, -38, -38, -36, -37, -39, -37, -42, 
## -42, -42, -41, -38, -41, -42, -41, -41, -43, -41, -41, -40, -39, 
## -39, -43, -43, -41, -41, -42, -40, -40, -40, -40, -38, -38, -35, 
## -40, -39, -38, -44, -41, -38, -37, -39, -40, -43, -42, -47, -44, 
## -42, -42, -41, -40, -38, -38, -42, -36, -36, -41, -43, -43, -45, 
## -44, -40, -40, -36, -38, -40, -40, -44, -43, -45, -39, -36, -38, 
## -36, -34, -41, -37, -38, -42, -39, -42, -42, -40, -39, -36, -35, 
## -35, -35, -35, -36, -38, -36, -36, -42, -39, -36, -41, -39, -39, 
## -41, -44, -40, -41, -42, -41, -40, -38, -36, -33, -35, -38, -36, 
## -38, -37, -37, -41, -40, -41, -42, -40, -41, -42, -38, -38, -38, 
## -35, -34, -33, -33, -33, -31, -32, -37, -41, -37, -37, -38, -37, 
## -39, -39, -40, -41, -44, -37, -38, -36, -36, -37, -37, -38, -38, 
## -40, -43, -40, -39, -35, -34, -37, -39, -39, -41, -38, -38, -34, 
## -29, -39, -45, -42, -42, -41, -41, -39, -41, -37, -32, -34, -33, 
## -33, -37, -37, -37, -38, -43, -42, -39, -40, -36, -35, -34, -38, 
## -37, -39, -38, -40, -40, -41, -42, -37, -36, -36, -38, -38, -38, 
## -37, -36, -38, -37, -43, -41, -38, -36, -38, -38, -40, -41, -37, 
## -37, -34, -32, -33, -36, -37, -40, -38, -39, -41, -41, -39, -37, 
## -38, -39, -38, -39, -41, -39, -37, -38, -34, -37, -39, -40, -40, 
## -39, -40, -40, -37, -6, -8, -13, -12, -11, -10, -7, -9, -8, -7, 
## -8, -7, -8, -7, -8, -7, -8, -8, -9, -11, -8, -8, -5, -6, -7, 
## -6, -9, -8, -7, -7, -5, -5, -6, -7, -8, -9, -7, -7, -5, -5, -5, 
## -6, -8, -9, -10, -13, -10, -6, -8, -8, -9, -9, -10, -10, -9, 
## -8, -9, -9, -7, -7, -3, -2, -4, -3, -5, -5, -4, -4, -7, -6, -9, 
## -10, -8, -5, -4, -7, -6, -7, -8, -8, -6, -7, -5, -5, -3, -2, 
## -4, -7, -7, -7, -9, -8, -9, -7, -6, -4, -3, -5, -8, -7, -8, -9, 
## -7, -6, -8, -7, -7, -8, -6, -5, -5, -5, -4, -6, -6, -8, -9, -5, 
## -7, -8, -8, -7, -8, -6, -6, -7, -8, -6, -5, -5, -3, -1, -3, -6, 
## -5, -6, -8, -6, -6, -10, -8, -8, -8, -8, -7, -4, -4, -4, -4, 
## -5, -5, -7, -7, -6, -7, -7, -12, -12, -8, -8, -9, -6, -3, -2, 
## -3, -4, -5, -6, -4, -5, -6, -6, -6, -7, -7, -7, -7, -9, -6, -9, 
## -10, -6, -6, -6, -8, -4, 1, 0, -7, -7, -7, -7, -4, -3, -4, -4, 
## -7, -6, -6, -5, -6, -6, -7, -7, -5, -6, -6, -5, -5, -5, -6, -3, 
## -4, -3, -7, -6, -8, -7, -7, -6, -4, -3, 0, -3, -5, -8, -7, -3, 
## -5, -3, -3, -6, -6, -8, -7, -3, -4, -3, -4, -2, -5, -7, -9, -9, 
## -9, -10, -7, -6, -7, -7, -1, 1, -3, -4, -5, -7, -8, -6, -6, -6, 
## -6, -6, -7, -5, -5, -4, -4, -4, -5, -4, -5, -4, -5, -4, -4, -3, 
## -5, -5, -4, -3, -4, -3, -5, -6, -8, -7, -8, -9, -8, -7, -5, -1, 
## -1, -2, -1, -4, -5, -4, -5, -5, -6, -5, -5, -6, -8, -7, -6, -7, 
## -7, -7, -7, -6, -5, -4, -4, 0, -2, -4, -5, -5, -5, -6, -6, -3, 
## -2, -5, -8, -6, -5, -5, -6, -6, -7, -9, -9, -4, -4, -6, -2, -1, 
## -1, -3, -7, -7, -6, -6, -7, -5, -6, -5, -5, -5, -4, -6, -7, -8, 
## -7, -6, -6, -6, -7, -6, -6, -3, -3, -5, -3, -4, -7, -8, -7, -7, 
## -6, -6, -6, -6, -3, -2, -3, -3, -5, -5, -4, -2, -2, -5, -6, -7, 
## -5, -7, -6, -5, -6, -1, -2, -3, -4, -5, -5, -6, -5, -4, -5, -7, 
## -7, -8, -5, -6, -3, -2, -3, -6, -7, -7, -6, -6, -15, -13, -11, 
## -14, -15, -16, -12, -13, -15, -15, -16, -14, -14, -14, -13, -11, 
## -10, -13, -14, -15, -16, -15, -18, -12, -11, -10, -18, -20, -20, 
## -20, -18, -14, -16, -16, -14, -16, -15, -14, -16, -15, -11, -10, 
## -14, -16, -15, -13, -12, -13, -16, -14, -16, -16, -11, -12, -15, 
## -14, -16, -16, -15, -18, -19, -17, -14, -17, -18, -16, -18, -19, 
## -18, -21, -19, -16, -12, -17, -17, -14, -18, -13, -20, -11, -20, 
## -21, -19, -15, -16, -16, -13, -12, -10, -11, -14, -8, -14, -14, 
## -13, -18, -17, -13, -13, -16, -16, -18, -17, -17, -13, -11, -14, 
## -16, -18, -20, -21, -17, -17, -20, -17, -19, -20, -16, -13, -17, 
## -19, -18, -16, -14, -16, -17, -17, -18, -16, -15, -16, -21, -19, 
## -18, -18, -13, -18, -17, -17, -17, -17, -16, -18, -19, -19, -16, 
## -17, -18, -18, -18, -18, -19, -18, -17, -17, -19, -19, -12, -15, 
## -19, -17, -11, -18, -15, -18, -15, -17, -16, -14, -17, -18, -19, 
## -13, -15, -16, -16, -13, -14, -12, -13, -15, -18, -18, -18, -19, 
## -15, -15, -16, -16, -17, -18, -17, -16, -19, -17, -20, -16, -19, 
## -18, -19, -17, -16, -13, -13, -18, -17, -10, -15, -17, -18, -17, 
## -17, -12, -17, -17, -15, -16, -22, -22, -21, -15, -12, -17, -16, 
## -14, -12, -20, -20, -20, -18, -17, -17, -19, -17, -17, -11, -2, 
## -7, -18, -11, -10, -13, -21, -22, -15, -17, -13, -12, -15, -20, 
## -17, -17, -17, -15, -15, -14, -16, -18, -17, -16, -15, -16, -17, 
## -16, -18, -15, -16, -14, -14, -16, -16, -17, -19, -17, -17, -15, 
## -16, -16, -23, -14, -17, -21, -19, -17, -15, -6, -13, -22, -21, 
## -15, -17, -19, -19, -21, -18, -19, -18, -15, -21, -21, -20, -20, 
## -19, -19, -18, -20, -21, -20, -18, -16, -16, -15, -14, -15, -21, 
## -20, -19, -21, -14, -14, -14, -12, -22, -23, -22, -21, -19, -10, 
## -17, -19, -17, -21, -22, -22, -21, -21, -24, -20, -17, -20, -23, 
## -17, -21, -22, -18, -20, -17, -17, -17, -17, -14, -14, -15, -16, 
## -17, -13, -16, -19, -19, -23, -21, -21, -22, -15, -18, -17, -13, 
## -13, -16, -13, -14, -15, -15, -16, -18, -19, -21, -21, -19, -18, 
## -16, -18, -22, -22, -22, -15, -19, -18, -13, -14, -14, -17, -16, 
## -17, -12, -13, -13, -18, -18, -22, -22, -19, -19, -22, -23, -19, 
## -19, -18, -20, -18, -17, -17, -18, -16, -16, -19, -17, -17, -18, 
## -17, -18, -16, -18, -18, -17, -17, -17, -18, -17, -18, -16, -17, 
## -19, -19, -18, -17, -19, -19, -23, -22, -19, -9, -12, -13, -14, 
## -15, -18, -19, -13, -14, -14, -16, -16, -17, -18, -16, -12, -12, 
## -9, -10, -9, -17, -17, -15, -17, -15, -14, -13, -12, -15, -15, 
## -14, -16, -19, -15, -16, -12, -14, -14, -13, -14, -16, -18, -15, 
## -15, -14, -16, -17, -13, -14, -12, -10, -11, -11, -17, -17, -16, 
## -16, -14, -12, -13, -13, -13, -13, -11, -14, -15, -16, -16, -14, 
## -11, -11, -11, -11, -13, -16, -16, -15, -13, -14, -13, -15, -19, 
## -16, -14, -11, -9, -13, -18, -20, -20, -11, -9, -12, -14, -13, 
## -13, -13, -13, -12, -11, -13, -12, -14, -16, -15, -11, -12, -13, 
## -16, -19, -17, -19, -14, -16, -16, -21, -24, -29, -23, -19, -14, 
## -16, -14, -13, -11, -14, -17, -14, -14, -15, -11, -12, -14, -15, 
## -18, -21, -20, -18, -15, -12, -12, -7, -13, -13, -12, -18, -18, 
## -19, -11, -12, -10, -10, -11, -13, -11, -13, -15, -15, -14, -12, 
## -14, -13, -13, -16, -16, -12, -8, -6, -5, -10, -18, -20, -17, 
## -18, -18, -22, -23, -17, -13, -12, -12, -11, -22, -21, -18, -14, 
## -12, -9, -10, -9, -9, -10, -11, -13, -13, -14, -12, -12, -12, 
## -14, -16, -13, -20, -20, -20, -17, -13, -13, -11, -7, -19, -21, 
## -16, -20, -19, -14, -17, -15, -16, -14, -14, -11, -11, -13, -16, 
## -23, -16, -15, -16, -14, -13, -9, -13, -11, -11, -12, -13, -15, 
## -16, -14, -13, -13, -12, -17, -18, -19, -22, -17, -16, -14, -14, 
## -14, -16, -13, -13, -14, -19, -17, -12, -12, -18, -22, -17, -15, 
## -14, -16, -14, -11, -10, -14, -13, -13, -16, -15, -14, -12, -16, 
## -15, -14, -13, -12, -8, -12, -15, -16, -15, -13, -11, -12, -12, 
## -21, -22, -23, -21, -13, -8, -13, -13, -14, -12, -13, -12, -12, 
## -13, -15, -15, -14, -11, -13, -16, -15, -18, -18, -15, -13, -7, 
## -8, -14, -13, -13, -16, -14, -13, -11, -11, -6, -12, -14, -16, 
## -18, -22, -23, -20, -13, -16, -8, -12, -13, -14, -14, -14, -12, 
## -12, -14, -13, -16, -16, -15, -18, -13, -13, -13, -13, -11, -12, 
## -14, -14, -14, -13, -11, -17, -16, -20, -21, -19, -17, -14, -15, 
## -14, -13, -13, -13, -13, -13, -12, -11, -11, -11, -13, -15, -15, 
## -18, -14, -13, -14, -14, -14, -14, -12, -13, -12, -13, -13, -12, 
## -14, -11, -12, -14, -14, -13, -13, -11, -13, -14, -16, -14, -16, 
## -18, -19, -12, -6, -7, -7, -9, -10, -12, -16, -18, -13, -14, 
## -14, -13, -12, -13, -12, -12, -13, -13, -13, -11, -10, -9, -17, 
## -16, -13, -12, -8, -17, -22, -22, -22, -17, -4, -8, -10, -11, 
## -7, 2, -8, -17, -15, -15, -16, -10, -10, -12, -17, -22, -15, 
## -12, -13, -14, -14, -16, -19, -16, -1, 6, 8, -19, -21, -22, -10, 
## -6, -8, -13, -19, -9, -13, -15, -13, -11, -9, 1, -9, -16, -16, 
## -14, -14, -16, -17, -15, -12, -11, -8, -7, -7, -10, -11, -12, 
## -12, -12, -11, -11, -12, -14, -12, -9, -12, -10, -11, -11, -12, 
## -12, -11, -12, -13, -15, -14, -12, -15, -14, -13, -14, -13, -13, 
## -15, -13, -14, -15, -15, -16, -14, -13, -15, -18, -16, -14, -14, 
## -14, -15, -15, -16, -15, -14, -16, -17, -21, -17, -14, -12, -11, 
## -10, -25, -29, -28, -23, -15, 0, -9, -16, -15, -13, -16, -18, 
## -14, -13, -19, -15, -13, -14, -13, -13, -14, -14, -15, -14, -16, 
## -17, -14, -14, -14, -14, -15, -18, -16, -14, -18, -18, -18, -14, 
## 43, 45, 51, 49, 47, 48, 47, 49, 49, 43, 43, 41, 41, 46, 49, 45, 
## 45, 50, 51, 49, 49, 47, 46, 47, 46, 47, 45, 48, 45, 44, 45, 44, 
## 45, 47, 49, 49, 49, 46, 45, 46, 48, 47, 47, 46, 47, 47, 46, 47, 
## 47, 46, 47, 46, 50, 47, 47, 48, 50, 50, 49, 47, 45, 51, 48, 45, 
## 42, 42, 55, 50, 50, 45, 45, 43, 42, 42, 45, 45, 47, 48, 48, 48, 
## 48, 47, 47, 48, 48, 50, 47, 47, 48, 47, 47, 47, 47, 46, 46, 47, 
## 48, 47, 49, 47, 46, 46, 46, 45, 44, 47, 46, 49, 52, 51, 48, 47, 
## 46, 47, 47, 49, 47, 50, 50, 50, 48, 48, 50, 44, 47, 49, 53, 51, 
## 49, 46, 48, 51, 50, 45, 41, 44, 48, 49, 50, 50, 50, 48, 48, 48, 
## 49, 48, 44, 45, 46, 48, 48, 48, 49, 51, 48, 47, 47, 47, 48, 51, 
## 50, 51, 41, 49, 47, 45, 44, 51, 47, 48, 45, 46, 45, 50, 49, 48, 
## 49, 50, 49, 48, 49, 50, 50, 48, 47, 50, 49, 48, 47, 47, 46, 46, 
## 45, 46, 47, 46, 50, 51, 51, 49, 48, 45, 50, 46, 47, 50, 50, 51, 
## 49, 50, 49, 49, 50, 51, 50, 43, 46, 47, 49, 48, 48, 47, 50, 49, 
## 50, 46, 47, 49, 50, 45, 46, 49, 48, 49, 49, 49, 48, 49, 50, 47, 
## 49, 48, 48, 50, 52, 50, 49, 47, 48, 51, 50, 47, 48, 48, 49, 48, 
## 49, 49, 47, 46, 43, 43, 44, 53, 54, 51, 48, 47, 44, 45, 46, 46, 
## 47, 50, 49, 49, 49, 49, 47, 49, 50, 50, 51, 50, 49, 49, 49, 47, 
## 47, 48, 49, 47, 47, 47, 47, 45, 50, 51, 48, 47, 48, 49, 51, 53, 
## 47, 44, 47, 50, 53, 51, 48, 49, 45, 44, 45, 47, 49, 49, 49, 49, 
## 48, 47, 46, 51, 52, 51, 50, 49, 51, 50, 48, 45, 44, 48, 47, 49, 
## 48, 49, 47, 49, 50, 49, 49, 49, 51, 49, 47, 46, 44, 47, 47, 52, 
## 51, 52, 52, 52, 46, 45, 46, 46, 46, 48, 50, 49, 49, 51, 51, 47, 
## 44, 45, 46, 56, 57, 49, 44, 45, 49, 53, 51, 52, 46, 46, 44, 47, 
## 51, 49, 49, 46, 45, 49, 48, 50, 53, 53, 53, 51, 48, 47, 44, 48, 
## 48, 47, 50, 50, 52, 51, 51, 48, 48, 49, 48, 48, 48, 49, 48, 48, 
## 48, 48, 49, 50, 48, 49, 45, 47, 48, 49, 49, 48, 50, 50, 48, 50, 
## 46, 46, 47, 50, 51, 47, 43, 43, 46, 51, 49, 48, 48, 48, 48, 48, 
## 50, 49, 48, 51, 49, 50, 50, 49, 48, 49, 49, 49, 46, 47, 47, 48, 
## 48, 48, 50, 48, 49, 46, 49, 49, 50, 50, 50, 48, 47, 47, 49, 48, 
## 50, 47, 47, 49, 50, 48, 50, 49, 51, 54, 50, 52, 52, 49, 49, 48, 
## 48, 48, 44, 46, 47, 50, 48, 46, 44, 44, 43, 43, 45, 45, 46, 48, 
## 46, 45, 50, 50, 51, 48, 48, 49, 51, 52, 50, 49, 49, 50, 48, 50, 
## 51, 50, 50, 49, 48, 45, 44, 46, 45, 45, 48, 51, 54, 55, 56, 60, 
## 52, 50, 48, 48, 45, 45, 46, 45, 45, 48, 47, 45, 44, 45, 45, 45, 
## 43, 46, 47, 46, 47, 48, 46, 48, 47, 49, 50, 50, 46, 47, 47, 48, 
## 47, 48, 49, 49, 50, 52, 51, 51, 45, 47, 48, 47, 47, 49, 49, 46, 
## 46, 46, 45, 48, 52, 50, 51, 50, 49, 48, 47, 49, 48, 47, 49, 49, 
## 49, 48, 48, 48, 48, 49, 47, 51, 50, 49, 50, 49, 51, 49, 50, 48, 
## 47, 47, 48, 48, 50, 48, 50, 47, 47, 47, 51, 48, 49, 49, 49, 51, 
## 51, 52, 52, 50, 50, 46, 47, 48, 52, 49, 45, 48, 50, 47, 49, 49, 
## 51, 49, 47, 46, 47, 48, 47, 48, 48, 47, 46, 47, 46, 45, 47, 48, 
## 47, 48, 49, 49, 50, 53, 50, 49, 48, 52, 49, 48, 46, 45, 46, 45, 
## 48, 49, 42, 41, 44, 46, 51, 50, 51, 50, 50, 49, 48, 47, 45, 45, 
## 45, 48, 48, 45, 45, 50, 48, 47, 46, 46, 44, 46, 48, 47, 46, 48, 
## 50, 49, 48, 47, 46, 49, 49, 46, 44, 46, 46, 45, 46, 47, 46, 46, 
## 48, 45, 47, 46, 46, 47, 46, 45, 45, 49, 48, 50, 49, 49, -20, 
## -17, -13, -14, -17, -15, -22, -20, -17, -17, -18, -22, -20, -15, 
## -15, -16, -16, -15, -16, -14, -15, -16, -18, -16, -17, -19, -19, 
## -17, -17, -17, -20, -17, -18, -19, -20, -18, -17, -17, -17, -17, 
## -16, -18, -17, -16, -16, -17, -17, -18, -16, -14, -19, -19, -17, 
## -20, -16, -17, -18, -19, -17, -18, -18, -19, -17, -17, -19, -19, 
## -18, -19, -18, -18, -19, -19, -18, -18, -17, -17, -18, -19, -16, 
## -16, -16, -18, -19, -17, -17, -18, -19, -20, -19, -17, -16, -18, 
## -18, -17, -16, -15, -15, -16, -17, -16, -19, -18, -17, -15, -19, 
## -24, -18, -18, -20, -19, -17, -16, -16, -16, -18, -19, -19, -19, 
## -18, -16, -16, -16, -16, -17, -20, -19, -21, -21, -19, -20, -18, 
## -18, -19, -18, -18, -21, -14, -14, -15, -17, -19, -19, -19, -20, 
## -19, -14, -17, -19, -18, -18, -18, -19, -15, -19, -20, -19, -20, 
## -20, -16, -16, -16, -16, -18, -17, -16, -17, -18, -18, -17, -16, 
## -20, -27, -24, -18, -16, -17, -15, -19, -18, -19, -18, -19, -20, 
## -18, -17, -20, -18, -18, -19, -14, -21, -20, -20, -18, -21, -19, 
## -19, -20, -23, -22, -22, -23, -22, -18, -21, -20, -19, -19, -19, 
## -18, -20, -20, -21, -22, -20, -19, -18, -19, -20, -21, -19, -18, 
## -19, -18, -19, -19, -17, -15, -16, -15, -15, -17, -18, -19, -20, 
## -18, -16, -16, -21, -19, -19, -20, -22, -18, -19, -18, -15, -18, 
## -17, -20, -21, -21, -18, -18, -19, -18, -17, -14, -15, -13, -15, 
## -14, -18, -17, -17, -20, -19, -20, -20, -19, -20, -18, -19, -19, 
## -19, -18, -20, -19, -18, -20, -19, -19, -17, -19, -20, -23, -22, 
## -20, -20, -19, -20, -20, -21, -17, -17, -18, -16, -16, -20, -20, 
## -18, -18, -19, -20, -16, -18, -17, -17, -16, -17, -19, -22, -24, 
## -22, -18, -16, -18, -17, -19, -18, -16, -17, -16, -18, -19, -18, 
## -17, -19, -19, -19, -19, -18, -18, -18, -20, -19, -21, -19, -19, 
## -19, -22, -20, -21, -22, -19, -16, -18, -18, -18, -17, -21, -19, 
## -19, -23, -20, -16, -17, -17, -18, -18, -21, -19, -18, -18, -20, 
## -20, -22, -22, -23, -21, -21, -20, -20, -21, -20, -20, -19, -15, 
## -13, -15, -26, -22, -20, -18, -15, -15, -16, -16, -14, -14, -14, 
## -15, -16, -15, -16, -18, -19, -19, -19, -23, -20, -20, -20, -20, 
## -22, -21, -20, -17, -21, -23, -19, -17, -20, -20, -19, -18, -16, 
## -17, -19, -21, -23, -23, -17, -14, -17, -23, -18, -16, -21, -23, 
## -22, -22, -18, -22, -20, -18, -20, -18, -18, -19, -19, -21, -24, 
## -21, -18, -18, -23, -19, -15, -16, -21, -21, -20, -22, -24, -22, 
## -20, -19, -18, -21, -20, -18, -17, -21, -22, -22, -20, -20, -19, 
## -19, -21, -21, -19, -18, -18, -17, -19, -22, -22, -22, -23, -23, 
## -24, -22, -21, -21, -20, -18, -18, -20, -16, -17, -17, -18, -18, 
## -18, -19, -20, -19, -19, -20, -18, -19, -20, -19, -19, -17, -17, 
## -20, -17, -17, -18, -17, -15, -14, -14, -13, -13, -13, -16, -17, 
## -18, -18, -17, -18, -19, -19, -17, -15, -19, -20, -19, -17, -18, 
## -16, -16, -17, -16, -17, -21, -19, -13, -13, -19, -19, -18, -16, 
## -19, -20, -16, -15, -15, -15, -13, -15, -14, -14, -13, -14, -18, 
## -12, -11, -10, -10, -13, -15, -14, -14, -14, -14, -14, -13, -13, 
## -14, -14, -13, -15, -16, -14, -14, -20, -20, -15, -14, -14, -14, 
## -11, -9, -11, -11, -11, -12, -15, -17, -17, -15, -15, -11, -13, 
## -13, -7, -5, -5, -6, -6, -4, -5, -6, -6, -4, -5, -5, -5, -2, 
## -3, -4, -5, -4, -6, -5, -4, -4, -4, -2, -4, -4, -3, -5, -5, -6, 
## -4, -4, -5, -5, -2, -2, -1, -5, -6, -6, -9, -7, -4, -4, -4, -5, 
## -4, -3, -3, -3, -4, -6, -4, -4, -6, -6, -2, -1, 0, -2, 0, -8, 
## -8, -7, -6, -5, -5, -4, -4, -3, -7, -6, -8, -38, -40, -37, -37, 
## -38, -42, -39, -37, -39, -38, -35, -41, -40, -38, -41, -42, -40, 
## -36, -38, -39, -41, -39, -40, -41, -45, -43, -40, -35, -37, -37, 
## -43, -46, -37, -41, -44, -44, -39, -45, -46, -42, -38, -40, -42, 
## -35, -39, -39, -39, -37, -33, -35, -34, -35, -39, -40, -42, -42, 
## -43, -43, -39, -37, -36, -42, -44, -42, -38, -44, -47, -42, -42, 
## -41, -40, -40, -41, -41, -39, -37, -37, -39, -36, -42, -41, -37, 
## -37, -37, -38, -40, -41, -43, -41, -38, -39, -39, -39, -39, -41, 
## -42, -41, -32, -34, -37, -39, -41, -40, -38, -38, -37, -38, -40, 
## -41, -42, -44, -38, -40, -40, -42, -44, -41, -21, -17, -19, -17, 
## -19, -19, -21, -22, -24, -24, -21, -21, -24, -25, -24, -24, -20, 
## -19, -23, -18, -16, -15, -18, -17, -18, -20, -22, -22, -23, -21, 
## -18, -20, -18, -16, -17, -17, -21, -19, -19, -20, -21, -20, -18, 
## -16, -16, -17, -16, -13, -17, -12, -13, -14, -18, -19, -19, -14, 
## -15, -13, -11, -15, -17, -20, -19, -21, -18, -18, -17, -18, -18, 
## -19, -17, -13, -14, -16, -13, -12, -16, -21, -17, -23, -13, -13, 
## -17, -20, -17, -16, -18, -20, -16, -18, -16, -17, -13, -13, -15, 
## -16, -15, -15, -13, -22, -15, -10, -22, -19, -19, -19, -20, -18, 
## -16, -14, -19, -17, -14, -18, -18, -17, -14, -21, -12, -20, -21, 
## -13, -13, -20, -20, -20, -18, -19, -18, -16, -18, -17, -22, -15, 
## -18, -14, -14, -15, -17, -14, -13, -17, -20, -16, -16, -16, -18, 
## -16, -16, -18, -19, -17, -19, -19, -18, -19, -19, -20, -18, -19, 
## -17, -18, -20, -19, -17, -17, -18, -20, -18, -20, -21, -19, -21, 
## -22, -23, -22, -21, -21, -21, -19, -20, -20, -21, -21, -20, -22, 
## -20, -17, -21, -19, -20, -18, -14, -12, -20, -18, -18, -20, -37, 
## -38, -38, -41, -43, -40, -37, -38, -35, -35, -35, -36, -34, -40, 
## -42, -42, -39, -38, -40, -38, -38, -38, -37, -37, -37, -37, -36, 
## -39, -36, -41, -41, -40, -37, -42, -41, -39, -39, -39, -40, -35, 
## -34, -31, -31, -31, -32, -38, -36, -40, -40, -41, -39, -45, -40, 
## -41, -40, -29, -30, -38, -27, -33, -37, -41, -39, -40, -43, -41, 
## -42, -45, -37, -41, -41, -42, -37, -35, -35, -36, -43, -42, -37, 
## -33, -35, -40, -43, -41, -40, -37, -38, -40, -43, -39, -41, -41, 
## -41, -38, -37, -38, -38, -31, -29, -30, -31, -40, -36, -41, -39, 
## -41, -40, -42, -43, -44, -39, -36, -41, -37, -30, -38, -36, -37, 
## -38, -40, -42, -43, -41, -39, -40, -39, -39, -40, -40, -37, -38, 
## -41, -40, -39, -43, -41, -41, -41, -38, -35, -41, -39, -40, -39, 
## -38, -36, -40, -39, -39, -39, -41, -41, -41, -39, -39, -38, -39, 
## -38, -38, -40, -41, -41, -40, -39, -41, -39, -42, -41, -40, -38, 
## -40, -33, -34, -37, -36, -39, -40, -38, -45, -44, -47, -45, -39, 
## -34, -40, -42, -39, -40, -44, -45, -43, -45, -49, -46, -44, -41, 
## -41, -41, -40, -38, -40, -40, -42, -40, -40, -40, -41, -40, -41, 
## -40, -43, -39, -37, -39, -41, -40, -38, -36, -38, -38, -38, -43, 
## -42, -41, -40, -41, -44, -40, -40, -40, -40, -36, -38, -37, -37, 
## -32, -33, -35, -40, -42, -42, -43, -43, -38, -41, -39, -37, -41, 
## -42, -43, -40, -39, -37, -38, -39, -39, -40, -36, -36, -39, -40, 
## -39, -40, -41, -40, -41, -42, -41, -37, -36, -42, -44, -42, -42, 
## -41, -42, -42, -34, -34, -35, -37, -38, -35, -39, -37, -43, -41, 
## -37, -36, -39, -42, -38, -41, -40, -39, -43, -40, -42, -40, -37, 
## -38, -37, -36, -34, -34, -28, -28, -35, -39, -39, -39, -39, -38, 
## -40, -41, -43, -41, -47, -42, -38, -36, -40, -32, -39, -38, -35, 
## -35, -35, -37, -39, -42, -40, -38, -42, -42, -39, -35, -39, -39, 
## -40, -41, -40, -38, -40, -40, -40, -40, -38, -31, -42, -41, -46, 
## -44, -43, -47, -29, -45, -32, -28, -34, -39, -40, -42, -40, -40, 
## -41, -39, -37, -35, -37, -41, -42, -44, -45, -41, -36, -35, -34, 
## -34, -32, -30, -53, -20, -22, -23, -22, -23, -21, -21, -25, -25, 
## -21, -22, -21, -21, -23, -23, -21, -20, -19, -21, -20, -22, -22, 
## -22, -22, -19, -23, -24, -24, -23, -20, -23, -20, -22, -19, -20, 
## -19, -19, -22, -19, -15, -26, -24, -17, -17, -18, -19, -21, -21, 
## -22, -22, -22, -22, -21, -19, -19, -19, -21, -20, -18, -17, -20, 
## -21, -20, -18, -19, -19, -21, -21, -21, -20, -21, -18, -19, -18, 
## -21, -21, -22, -22, -23, -21, -19, -18, -17, -21, -25, -25, -20, 
## -21, -20, -20, -21, -21, -20, -21, -19, -22, -22, -21, -21, -20, 
## -19, -20, -21, -23, -21, -17, -21, -21, -22, -21, -20, -21, -22, 
## -21, -20, -18, -17, -18, -17, -15, -21, -22, -23, -21, -19, -19, 
## -21, -21, -21, -22, -19, -19, -20, -20, -24, -19, -15, -12, -14, 
## -19, -19, -19, -18, -20, -19, -23, -23, -24, -23, -21, -20, -21, 
## -20, -24, -23, -23, -23, -25, -21, -19, -25, -28, -27, -26, -25, 
## -20, -19, -23, -23, -23, -23, -23, -25, -26, -25, -21, -17, -18, 
## -21, -20, -23, -22, -24, -24, -23, -23, -24, -22, -23, -23, -23, 
## -21, -21, -21, -21, -21, -23, -22, -20, -20, -20, -22, -20, -21, 
## -26, -27, -26, -26, -22, -22, -21, -20, -21, -20, -22, -22, -23, 
## -31, -30, -25, -25, -29, -23, -21, -21, -18, -19, -25, -22, -22, 
## -22, -22, -21, -21, -24, -25, -27, -26, -17, -18, -19, -19, -24, 
## -29, -28, -26, -22, -24, -22, -22, -22, -23, -28, -25, -25, -24, 
## -21, -22, -21, -20, -21, -21, -20, -21, -25, -28, -26, -26, -22, 
## -21, -20, -17, -20, -17, -15, -15, -15, -25, -25, -20, -15, -14, 
## -12, -15, -19, -17, -16, -18, -25, -25, -22, -24, -25, -23, -29, 
## -23, -24, -28, -32, -27, -24, -17, -6, -7, -6, -4, -4, -4, -5, 
## -6, -7, -13, -18, -17, -8, -4, -4, 4, -3, 2, 11, 7, 4, 15, 16, 
## 8, 4, 6, 7, 9, 9, 6, 3, -4, -3, -1, 2, -6, -7, -6, -5, -2, -1, 
## -3, -3, -19, -19, -13, -15, -22, -25, -24, -21, -19, -25, -24, 
## -23, -20, -21, -23, -29, -29, -28, -25, -21, -20, -17, -16, -12, 
## -3, -5, 3, 7, 25, 22, 20, 24, 29, 35, 24, 21, 17, 16, 17, 19, 
## 16, 6, 5, 3, 5, 6, 12, 14, 7, 3, 2, 5, 4, 0, -1, -3, 3, 5, 7, 
## -9, -10, -19, 23, 22, 11, 10, 14, 10, 11, 12, 12, -1, -5, -6, 
## -2, -2, -1, -6, -16, -17, -13, -7, -8, -12, -16, -16, -20, -20, 
## -7, -14, -26, -39, -38, -36, -33, -15, -27, -31, -33, -34, -33, 
## -30, -27, -21, -14, -11, -12, -15, -13, -10, -7, 14, 30, -11, 
## -11, -1, 13, 21, 19, 17, 28, 25, 8, 16, 27, 22, 28, 12, 13, 11, 
## 3, 1, 4, 12, 17, 18, 13, 10, 8, 7, 8, 6, -6, -8, -7, -7, -14, 
## -13, -13, -10, -12, -20, -30, -30, -29, -28, -30, -30, -28, -30, 
## -33, -33, -32, -30, -29, -28, -16, -16, -15, -16, -25, -21, 14, 
## 17, 25, -2, -7, -3, 24, 31, 19, 25, 27, 24, 21, 15, 11, 7, 13, 
## 12, 12, 15, 16, 13, 9, 1, -3, -2, -6, -12, -7, -5, -2, -2, -2, 
## -6, -25, -31, -21, -23, -34, -28, -27, -27, -31, -27, -26, -28, 
## -27, -24, -17, -10, -9, -10, -13, -11, -11, -16, -18, -13, 6, 
## 19, 20, 6, 4, 4, 8, 7, 13, 9, -1, -3, -3, -3, 4, 0, 0, -6, -12, 
## -18, -19, -20, -21, -10, -11, -13, -15, -21, -25, -39, -28, -24, 
## -25, -18, -22, -32, -33, -29, -18, -15, -21, -18, -17, -17, -17, 
## -11, -5, -5, -1, 7, 14, 9, 8, -2, 3, 11, 6, -2, 8, 7, 2, 1, -4, 
## -4, -3, 7, 5, 3, -5, -7, -8, -9, -8, -13, -11, -4, -4, -7, -10, 
## -10, -8, -13, -24, -26, -34, -34, -32, -28, -27, -23, -29, -25, 
## -27, -33, -25, -24, -15, -16, -13, -18, -19, -19, -22, -21, -9, 
## 7, 8, 10, 12, 5, -7, 7, 16, 21, 15, 7, 3, 4, 20, 17, 9, 5, 4, 
## 3, 6, 9, 10, 10, -2, -3, -7, -6, -8, -16, -14, -10, -4, -7, -14, 
## -15, -16, -11, -6, -7, -11, -12, -13, -17, -19, -17, -10, -9, 
## -11, -15, -18, -21, -20, -22, -23, -24, -22, -15, -13, -14, -17, 
## -16, -19, -18, -17, -18, -13, -13, -13, -17, -20, -18, -19, -20, 
## -23, -20, -17, -20, -20, -17, -17, -20, -19, -20, -18, -16, -16, 
## -24, -24, -22, -23, -20, -20, -19, -23, -16, -14, -22, -16, -18, 
## -21, -17, -17, -21, -15, -20, -21, -21, -23, -23, -23, -18, -19, 
## -20, -21, -19, -19, -16, -18, -18, -17, -15, -14, -15, -12, -12, 
## -18, -24, -21, -21, -23, -21, -23, -21, -18, -19, -20, -15, -19, 
## -20, -20, -19, -18, -21, -19, -18, -17, -17, -16, -16, -19, -16, 
## -20, -21, -22, -20, -18, -20, -19, -20, -20, -21, -21, -19, -19, 
## -20, -18, -19, -21, -19, -20, -18, -18, -18, -19, -19, -19, -16, 
## -14, -11, -12, -17, -15, -24, -22, -19, -19, -21, -19, -20, -21, 
## -19, -20, -20, -22, -17, -17, -18, -20, -19, -14, -16, -12, -16, 
## -18, -24, -19, -21, -22, -22, -23, -22, -21, -20, -21, -21, -20, 
## -19, -20, -19, -21, -21, -16, -15, -15, -13, -13, -22, -22, -23, 
## -21, -21, -21, -15, -15, -24, -26, -19, -18, -12, -18, -24, -15, 
## -17, -15, -14, -21, -20, -20, -21, -23, -23, -21, -20, -18, -17, 
## -17, -21, -20, -21, -17, -13, -13, -21, -24, -18, -23, -21, -21, 
## -21, -20, -20, -20, -19, -15, -20, -23, -17, -12, -13, -13, -11, 
## -15, -16, -17, -17, -17, -20, -19, -22, -21, -22, -21, -17, -17, 
## -19, -18, -18, -18, -21, -17, -17, -17, -19, -19, -22, -20, -21, 
## -18, -18, -22, -24, -20, -16, -18, -19, -16, -15, -15, -14, -15, 
## -16, -21, -18, -19, -16, -17, -13, -16, -20, -21, -21, -17, -20, 
## -16, -16, -21, -20, -20, -18, -17, -15, -21, -24, -17, -17, -16, 
## -13, -14, -17, -19, -19, -20, -23, -20, -22, -23, -22, -18, -19, 
## -18, -18, -18, -13, -15, -12, -13, -17, -18, -12, -14, -14, -9, 
## -6, -2, -7, -15, -21, -26, -23, -16, -16, -15, -10, -10, -12, 
## -11, -12, -9, -6, -13, -14, -13, -11, -13, -14, -15, -15, -14, 
## -14, -15, -13, -10, -7, -16, -30, -15, -14, -12, -11, -14, -15, 
## -15, -13, -10, -11, -10, -10, -2, -5, -11, -7, -12, -15, -16, 
## -15, -13, -12, -13, -14, -14, -14, -14, -14, -13, -13, -11, -9, 
## -4, -5, -9, -16, -16, -13, -14, -13, -12, -15, -15, -14, -2, 
## -15, -15, -12, -14, -10, -12, -13, -11, -14, -15, -11, -12, -14, 
## -13, -11, -11, -13, -11, -11, -12, -13, -14, -14, -12, -13, -13, 
## -13, -11, -9, -7, -9, -13, -18, -21, -23, -24, -16, -15, -14, 
## -13, -14, -19, -12, -6, -4, -14, -18, -25, -25, -15, -15, -14, 
## -11, -15, -14, -12, -13, -14, -15, -12, -11, -10, -13, -4, -5, 
## -7, -12, -13, -14, -13, -13, -14, -13, -11, -11, -13, -12, -16, 
## -15, -16, -15, -12, -12, -19, -21, -23, -18, -16, -12, -14, -14, 
## -13, -11, -7, -7, -12, -12, -9, -6, -7, -9, -12, -9, -11, -12, 
## -13, -13, -11, -15, -15, -13, -11, -12, -10, -8, -8, -7, -10, 
## -11, -20, -19, -15, -11, -10, -12, -14, -12, -12, -11, -13, -12, 
## -10, -13, -12, -10, -11, -12, -13, -13, -10, -13, -12, -11, -10, 
## -10, -11, -12, -6, -4, -23, -20, -15, -13, -11, -11, -12, -14, 
## -15, -17, -15, -13, -12, -12, -14, -13, -10, -12, -11, -8, -11, 
## -13, -14, -13, -13, -14, -14, -13, -13, -12, -11, -14, -15, -11, 
## -5, -4, -4, -8, -24, -13, -13, -12, -12, -10, -13, -12, -11, 
## -11, -12, -10, -9, -9, -12, -16, -17, -19, -17, -10, -10, -6, 
## -8, -10, -28, -25, -14, -16, -13, -6, -1, -1, -6, -18, -17, -21, 
## -18, -14, -14, -13, -17, -21, -19, -19, -18, -16, -19, -20, -18, 
## -17, -14, -15, -16, -16, -16, -15, -15, -16, -15, -16, -16, -15, 
## -15, -16, -16, -13, -15, -16, -15, -14, -15, -14, -13, -14, -15, 
## -16, -15, -14, -15, -14, -15, -16, -13, -15, -14, -15, -13, -13, 
## -14, -17, -15, -15, -15, -18, -18, -17, -17, -16, -17, -25, -19, 
## -16, -19, -14, -11, -15, -16, -14, -14, -14, -13, -13, -13, -15, 
## -14, -13, -11, -12, -14, -17, -19, -14, -18, -17, -14, -14, -15, 
## -14, -14, -15, -14, -14, -15, -21, 2, -14, -18, -23, -21, -14, 
## -13, -14, -12, -15, -21, -16, -13, -13, -16, -15, -15, -16, -17, 
## -15, 47, 47, 48, 50, 51, 48, 45, 48, 48, 48, 49, 51, 50, 50, 
## 50, 51, 47, 46, 48, 48, 48, 49, 45, 49, 51, 49, 46, 45, 47, 48, 
## 48, 49, 47, 48, 47, 48, 49, 50, 50, 52, 51, 47, 47, 48, 50, 48, 
## 49, 49, 47, 49, 49, 49, 46, 48, 48, 48, 49, 49, 48, 48, 46, 47, 
## 48, 49, 50, 52, 51, 49, 50, 46, 49, 48, 46, 49, 48, 49, 46, 48, 
## 47, 47, 52, 51, 52, 46, 48, 50, 50, 52, 49, 47, 46, 47, 47, 51, 
## 49, 48, 49, 51, 50, 49, 48, 47, 47, 47, 46, 50, 49, 48, 49, 48, 
## 49, 50, 50, 50, 47, 47, 47, 47, 45, 47, 48, 48, 51, 51, 52, 47, 
## 51, 49, 49, 51, 49, 51, 48, 48, 48, 48, 47, 47, 48, 48, 49, 49, 
## 48, 49, 47, 46, 45, 45, 46, 47, 49, 48, 49, 48, 48, 47, 48, 48, 
## 49, 48, 49, 49, 51, 50, 51, 52, 47, 48, 49, 48, 45, 49, 56, 46, 
## 46, 47, 48, 49, 45, 48, 49, 50, 48, 49, 50, 48, 48, 49, 51, 46, 
## 46, 48, 49, 48, 47, 46, 48, 50, 51, 49, 47, 53, 51, 50, 49, 48, 
## 46, 45, 44, 48, 51, 50, 49, 48, 49, 50, 47, 47, 49, 49, 49, 49, 
## 48, 47, 50, 48, 49, 49, 44, 44, 45, 47, 48, 48, 49, 50, 51, 50, 
## 50, 46, 45, 46, 44, 46, 46, 49, 49, 49, 49, 49, 48, 47, 48, 46, 
## 45, 48, 47, 48, 46, 48, 50, 53, 53, 53, 52, 44, 43, 41, 44, 47, 
## 49, 51, 50, 46, 45, 47, 50, 52, 45, 46, 47, 48, 45, 45, 45, 45, 
## 47, 52, 50, 50, 48, 46, 42, 42, 39, 41, 43, 42, 45, 44, 44, 49, 
## 51, 74, 76, 83, 78, 73, 70, 67, 67, 68, 66, 65, 59, 50, 45, 42, 
## 40, 38, 33, 34, 37, 43, 49, 48, 57, 59, 60, 58, 50, 49, 54, 55, 
## 56, 54, 55, 56, 57, 57, 52, 46, 36, 39, 34, 29, 33, 27, 26, 30, 
## 29, 27, 36, 36, 28, 33, 27, 39, 28, 20, 45, 53, 54, 43, 32, 49, 
## 72, 50, 50, 50, 46, 48, 49, 50, 49, 50, 49, 48, 46, 50, 50, 47, 
## 47, 48, 48, 49, 49, 47, 46, 46, 44, 45, 48, 48, 49, 51, 51, 46, 
## 47, 48, 50, 51, 49, 48, 49, 49, 48, 49, 50, 48, 51, 51, 50, 50, 
## 50, 48, 47, 48, 49, 49, 48, 47, 49, 49, 46, 47, 49, 50, 50, 49, 
## 52, 53, 49, 47, 48, 48, 48, 49, 46, 54, 50, 45, 49, 48, 49, 48, 
## 48, 50, 49, 48, 48, 48, 49, 48, 47, 47, 47, 47, 48, 48, 52, 46, 
## 47, 45, 47, 46, 47, 47, 49, 49, 47, 48, 47, 49, 49, 49, 50, 51, 
## 49, 47, 48, 46, 46, 53, 51, 50, 43, 46, 48, 49, 49, 48, 48, 46, 
## 47, 49, 49, 50, 49, 47, 48, 48, 49, 45, 47, 50, 49, 49, 49, 48, 
## 47, 46, 47, 48, 45, -22, -21, -20, -23, -20, -24, -22, -15, -13, 
## -17, -17, -17, -16, -18, -11, -8, -7, -17, -31, -28, -25, -19, 
## -10, -19, -22, -20, -20, -28, -26, -23, -25, -29, -29, -27, -22, 
## -23, -24, -24, -19, -20, -21, -19, -16, -17, -17, -16, -17, -20, 
## -20, -19, -20, -20, -22, -23, -20, -19, -20, -20, -17, -19, -22, 
## -23, -26, -25, -21, -21, -21, -19, -21, -21, -22, -21, -22, -23, 
## -22, -22, -19, -20, -21, -24, -18, -21, -21, -19, -19, -22, -22, 
## -21, -22, -24, -22, -24, -23, -23, -21, -19, -22, -19, -20, -19, 
## -19, -21, -21, -23, -20, -18, -18, -21, -22, -21, -23, -25, -25, 
## -24, -22, -21, -21, -21, -22, -21, -22, -21, -22, -22, -22, -23, 
## -24, -17, -21, -21, -21, -20, -20, -20, -21, -19, -21, -24, -25, 
## -23, -19, -17, -22, -22, -24, -23, -21, -22, -22, -23, -25, -24, 
## -23, -23, -21, -21, -23, -23, -23, -24, -21, -22, -21, -21, -20, 
## -19, -21, -21, -22, -21, -21, -20, -18, -19, -20, -19, -17, -22, 
## -20, -24, -23, -21, -22, -21, -21, -21, -23, -22, -21, -21, -22, 
## -25, -22, -21, -20, -23, -27, -28, -23, -21, -20, -17, -18, -20, 
## -20, -17, -18, -18, -19, -20, -19, -19, -17, -18, -21, -24, -19, 
## -21, -20, -21, -19, -22, -25, -25, -24, -20, -20, -19, -19, -20, 
## -19, -18, -22, -21, -21, -20, -19, -20, -19, -19, -19, -20, -23, 
## -22, -22, -19, -19, -20, -19, -21, -20, -21, -20, -22, -22, -20, 
## -20, -21, -23, -21, -21, -22, -24, -21, -21, -20, -19, -20, -21, 
## -20, -21, -21, -22, -22, -21, -21, -20, -22, -21, -21, -21, -19, 
## -24, -24, -22, -24, -22, -23, -22, -22, -22, -24, -24, -22, -20, 
## -20, -20, -19, -19, -21, -19, -23, -22, -21, -22, -21, -20, -20, 
## -21, -21, -21, -23, -21, -20, -22, -21, -22, -22, -21, -20, -19, 
## -17, -20, -24, -22, -23, -24, -25, -23, -18, -18, -20, -20, -18, 
## -15, -14, -14, -8, -9, -12, -14, -13, -14, -16, -18, -18, -22, 
## -15, -15, -15, -15, -18, -15, -14, -16, -18, -18, -17, -14, -16, 
## -17, -17, -16, -17, -22, -20, -14, -17, -15, -13, -6, -5, -5, 
## -7, -14, -14, -12, -11, -13, -10, -11, -14, -14, -11, -11, -13, 
## -15, -14, -14, -15, -14, -13, -13, -5, -9, -15, -14, -13, -13, 
## -13, -10, -13, -10, -10, -9, -14, -16, -13, -12, -9, -11, -11, 
## -8, -5, -6, -18, -18, -18, -12, -14, -10, -8, -12, -11, -13, 
## -13, -15, -16, -14, -11, -9, -12, -12, -7, -10, -14, -12, -19, 
## -27, -22, -19, -36, -37, -36, -32, -33, -26, -16, -15, -14, -12, 
## -15, 29, 19, 8, 14, 16, 12, 17, 20, 22, 4, 2, 3, 6, 1, 7, 11, 
## 12, 8, 10, 12, 10, 2, 3, -1, -5, -7, -13, -8, -6, -8, -19, -29, 
## -33, -40, -34, -19, -16, -15, -29, -25, -23, -29, -34, -36, -34, 
## -23, -24, -22, -12, -8, -13, -12, -11, -6, -6, -4, -2, 20, 13, 
## 11, 19, 16, 15, 15, 12, 11, 9, 7, 4, 5, 9, 8, 7, 8, 6, -1, -7, 
## -6, -2, -5, -10, -19, -17, -14, -9, -16, -26, -24, -21, -23, 
## -23, -21, -21, -21, -15, -9, -11, -14, -13, -3, -4, 14, 20, 23, 
## 4, 9, 17, 23, 24, -43, -44, -40, -39, -40, -39, -38, -38, -40, 
## -41, -40, -40, -43, -39, -41, -40, -34, -39, -40, -35, -34, -34, 
## -38, -42, -41, -38, -39, -39, -43, -31, -29, -39, -40, -41, -41, 
## -37, -42, -42, -44, -42, -39, -37, -33, -42, -43, -41, -39, -39, 
## -35, -39, -39, -42, -42, -41, -40, -37, -32, -34, -39, -44, -41, 
## -41, -40, -34, -41, -44, -44, -43, -42, -38, -38, -38, -35, -37, 
## -43, -43, -40, -38, -40, -40, -40, -40, -40, -42, -42, -41, -25, 
## -18, -15, -18, -20, -16, -18, -19, -19, -18, -16, -21, -19, -21, 
## -19, -20, -19, -19, -20, -19, -12, -12, -20, -21, -22, -21, -13, 
## -12, -17, -22, -22, -21, -18, -19, -19, -21, -21, -20, -21, -21, 
## -16, -20, -18, -14, -14, -22, -16, -19, -18, -16, -16, -21, -19, 
## -18, -19, -2, -6, -4, 1, -1, -13, 37, -16, -41, -120, -54, -15, 
## -67, -81, -70, -32, -44, -54, -66, -73, -51, -68, -71, -74, -75, 
## -83, -80, -77, -79, -82, -80, -73, -66, -66, -65, -66, -69, -69, 
## -63, -64, -65, -14, -15, -13, 43, 46, 46, 47, 45, 43, 42, 48, 
## 46, 50, 57, 60, 61, 59, 57, 73, 57, 41, 40, 36, 34, 33, 36, 53, 
## 56, 45, 45, 49, 48, 57, 49, 51, 67, 54, 63, 74, 58, 56, 58, 56, 
## 54, 60, 58, 56, 51, 54, 60, 59, 57, 56, 54, 58, 53, 42, 36, 36, 
## 39, 44, 46, 52, 55, 54, 44, 41, 44, 58, 56, 56, 74, 72, 72, 56, 
## 51, 39, 36, 43, 37, 39, 36, 39, 44, 47, 56, 48, 53, 52, 57, 56, 
## 62, 65, 41, 29, 20, 19, 19, 45, 40, 29, 30, 26, 27, 26, 22, 27, 
## 33, 25, 19, 36, 36, 28, 35, 52, 66, 62, 56, 44, 48, 62, 72, 72, 
## 69, 70, 76, 75, 72, 67, 47, 38, 53, 47, 35, 26, -8, 11, 33, 4, 
## 8, 11, 8, 65, 51, 54, 51, 57, 56, 64, 71, 70, 61, 62, 65, -21, 
## -18, -17, -11, -5, -5, -9, -11, -10, -16, -4, -3, -6, -6, -7, 
## -6, -21, -14, -14, -16, -17, -18, -20, -20, -19, -17, -20, -22, 
## -17, -16, -20, -15, -16, -23, -23, -22, -20, -16, -11, -14, -7, 
## -5, -5, -11, 8, 1, -6, -19, -21, -19, -16, -20, -18, -21, -19, 
## -18, -20, -16, -15, -13, -14, -12, -9, -8, -9, -8, -10, -18, 
## -15, -12, -11, -9, -8, -12, 2, 0, -6, -7, 1, -2, -11, -13, -15, 
## -18, -20, -15, -4, -3, -8, -19, -7, 0, -9, -1, -4, -6, -18, -9, 
## -10, -13, -22, -19, -18, -18, -13, -6, 4, -3, -4, -3, -12, -20, 
## -22, -21, -19, -19, -18, -15, -10, -6, -9, -12, -14, -8, -14, 
## -8, -6, -6, -11, -6, -7, -3, -5, -8, -5, -6, -14, -13, -23, -21, 
## -17, -16, -19, -21, -18, -15, -12, -14, -16, -14, -11, -10, -12, 
## -17, -18, -19, -17, -17, -22, -19, -19, -14, -18, -16, -6, -4, 
## -6, -1, 6, -1, -13, -16, -10, -12, -8, -2, -12, -8, -7, -9, -10, 
## -16, -17, -20, -15, -13, -4, -11, -9, -19, -17, -11, -14, -13, 
## -8, -6, -5, -6, -18, -6, -6, -9, -13, -10, -14, -13, -14, -26, 
## -21, -15, -13, -12, -9, -13, -15, -15, -8, -8, -9, -6, -7, -11, 
## -11, -23, -15, -11, -17, -16, -8, -11, -13, -12, -12, -10, -16, 
## -20, -20, -19, -17, -14, -7, -13, -15, -14, -14, -15, -15, -13, 
## -16, -13, -10, -8, -10, -6, -4, -4, -4, -6, -13, -17, -18, -19, 
## -15, -21, -24, -21, -18, -17, -22, -20, -17, -13, -21, -20, -21, 
## -20, -18, -10, -5, -3, -3, -7, -13, -16, -15, -15, -17, -18, 
## -11, -6, -4, -5, -11, -10, -11, -8, -12, -9, -9, -5, -12, -14, 
## -9, -7, -9, -10, -10, -11, -11, -12, -17, -17, -20, -9, -20, 
## -20, -18, -19, -19, -19, -18, -17, -17, -12, -15, -13, -24, -21, 
## -21, -20, -4, -17, -8, -11, -13, -6, -13, -10, -13, -8, -14, 
## -11, -6, -10, -8, -15, -9, -6, -11, -15, -16, -15, -17, -17, 
## -17, -18, -6, -10, -8, -5, -8, -1, -2, -10, -18, -15, -6, -23, 
## -24, -20, -23, -20, -18, -20, -18, -17, -13, -11, -17, -11, -9, 
## -9, -3, -4, -8, -6, -5, -3, -20, -15, -13, -9, -2, 0, 3, -6, 
## -13, -15, -16, -14, -13, -9, -10, -10, -11, -13, -8, -12, -7, 
## -11, -13, -12, -8, -20, -16, -11, -9, -12, -15, -17, -6, -4, 
## -2, 0, -8, -14, -8, -3, -9, -17, -16, -18, -20, -20, -18, -18, 
## -18, -18, -17, -16, -15, -15, -14, -16, -17, -16, -17, -16, -16, 
## -14, -13, -14, -16, -16, -16, -14, -13, -16, -15, -17, -17, -17, 
## -15, -18, -16, -16, -16, -15, -14, -19, -16, -19, -17, -14, -12, 
## -13, -15, -23, -25, -22, -19, -18, -19, -20, -23, -19, -19, -20, 
## -19, -19, -17, -17, -17, -18, -16, -14, -14, -15, -19, -20, -18, 
## -18, -20, -20, -20, -20, -21, -23, -50, -43, -39, -41, -46, -41, 
## -35, -35, -41, -57, -58, -58, -55, -55, -50, -45, -45, -50, -49, 
## -38, -31, -56, -56, -53, -58, -81, -36, -57, -25, -23, -45, -27, 
## -31, -39, -52, -49, -41, -39, -47, -45, -45, -43, -45, -43, -41, 
## -48, -41, -46, -39, -34, -14, -11, -11, 1, -46, -57, -32, -54, 
## -53, -43, -49, -54, -57, -57, -62, -68, -43, -42, -49, -49, -44, 
## -39, -43, -42, -36, -34, -35, -37, -44, -41, -46, -49, -43, -43, 
## -39, -43, -44, -41, -38, -37, -43, -43, -47, -43, -51, -51, -53, 
## -49, -23, -22, -21, -9, -25, -50, -35, -37, -42, -46, -50, -48, 
## -48, -50, -41, -35, -39, -45, -53, -53, -43, -40, -45, -47, -40, 
## -37, -40, -47, -45, -44, -42, -18, -16, -16, -17, -17, -20, -30, 
## -23, -16, -15, -16, -17, -11, -14, -9, -10, -14, -8, -19, -14, 
## -10, -12, -14, -19, -21, -14, -13, -10, -11, -10, -5, -5, -14, 
## -8, -18, -20, -16, -14, -3, -10, -15, -13, -17, -29, -22, -1, 
## 3, -2, -4, -5, -5, -4, -6, -12, -18, -18, -13, -12, -13, -15, 
## -13, -12, -9, -3, -3, -9, -24, -26, -28, -9, -15, -16, -14, -15, 
## -18, -17, -14, -13, -19, -20, -23, -24, -22, -22, -21, -22, -16, 
## -12, -10, -10, -14, -21, -17, -21, -18, -16, -16, -14, -14, -15, 
## -14, -18, -20, -16, -16, -17, -16, -7, -8, -13, -15, -16, -15, 
## -16, -16, -25, -21, -22, -22, -21, -19, -19, -17, -19, -20, -22, 
## -12, -15, -23, -21, -13, -13, -11, -12, -5, -10, -17, -18, -17, 
## -17, -15, -15, -14, -12, -11, -10, -13, -12, -13, -14, -16, -15, 
## -15, -16, -15, -16, -16, -21, -23, -18, -18, -18, -19, -20, -15, 
## -13, -12, -13, -12, -18, -13, -11, -11, -11, -11, -17, -10, -15, 
## -19, -19, -19, -11, -13, -15, -22, -25, -28, -28, -23, -17, -14, 
## -13, -20, -26, -9, -8, -11, -14, -20, -23, -22, -20, -13, -16, 
## -16, -14, -11, -11, -14, 0, 1, -5, -7, -10, -10, -12, -15, -32, 
## -27, -21, -17, -18, -13, -18, -19, -17, -19, -17, -17, -17, -22, 
## -35, -32, -29, -31, -31, -35, -30, -25, -22, -26, -23, -21, -25, 
## -23, -13, -11, -11, -14, -28, -23, -21, -23, -26, -29, -20, -19, 
## -17, -17, -24, -26, -21, -15, -20, -21, -27, -17, -12, -1, -13, 
## -13, -21, -21, -23, -18, -18, -11, -14, -13, -13, -17, -20, -22, 
## -20, -20, -27, -28, -28, -21, -29, -26, -28, -27, -29, -33, -32, 
## -31, -27, -35, -38, -32, -27, -28, -29, -30, -13, -20, -30, -20, 
## -17, -22, -23, -22, -21, -12, -19, -23, -21, -22, -22, -18, -19, 
## -11, 0, -10, -13, -6, -4, -13, -24, -2, -4, -14, -18, -17, 0, 
## 6, -1, -15, -36, -34, -30, -22, -19, -16, -16, -15, -15, -7, 
## -2, -4, -12, -18, -15, -13, -15, -13, -12, -10, -20, -21, -20, 
## -19, -24, -27, -23, -25, -22, -23, -17, -11, -10, -11, -16, -15, 
## -27, -25, -22, -29, -26, -29, -26, -22, -19, -18, -18, -24, -5, 
## -11, -17, -21, -28, -32, -34, -32, -28, -27, -19, -20, -25, -19, 
## -14, -19, -15, -14, -13, -13, -8, -6, -15, -9, -16, -16, -14, 
## -10, -8, -8, -12, -11, -10, -9, -6, -13, -20, -24, -24, -26, 
## -25, -27, -14, -9, -10, -21, -13, -14, -17, -13, -24, -21, -19, 
## -17, -16, -25, -21, -21, -22, -28, -27, -23, -18, -15, -16, -15, 
## -16, -23, -22, -19, -20, -20, -19, -20, -18, -19, -19, -19, -23, 
## -22, -20, -29, -20, -24, -26, -26, -20, -8, -9, -10, -14, -19, 
## -19, -15, -27, -12, -16, -21, -26, -28, -27, -26, -26, -26, -28, 
## -26, -21, -20, -24, -32, -31, -27, -25, -26, -27, -30, -22, -16, 
## -21, -8, -4, -10, -14, -17, -16, -21, -21, -14, -21, -19, -20, 
## -16, -16, -13, -11, -23, -26, -20, -33, -29, -27, -35, -39, -36, 
## -23, -20, -7, -21, -17, -12, -4, -15, -6, -8, -12, -17, -21, 
## -24, -20, -18, -12, -10, -9, -14, -33, -38, -35, -22, -12, -21, 
## -24, -16, -18, -18, -10, -12, -20, -11, -6, -6, -8, -9, -10, 
## -11, -20, -20, -18, -6, -10, -20, -23, -22, -23, -22, -22, -20, 
## -27, -29, -27, -26, -28, -29, -26, -27, -41, -40, -30, -5, -12, 
## -19, -20, -10, -6, -3, -4, -9, -16, -24, -19, -13, -11, -9, -11, 
## -13, -16, -18, -18, -19, -18, -20, -21, -18, -11, -8, -4, -8, 
## 18, 22, 27, 14, 16, 10, 9, 6, 13, 13, 19, 12, -5, -23, -27, -17, 
## -6, -13, -16, -20, -46, -47, -47, -43, -30, -28, -26, -28, -37, 
## -44, -45, -26, -23, -22, -21, -25, -25, -21, -20, -14, -18, -18, 
## -18, -17, -18, -17, -18, -19, -21, -21, -20, -21, -23, -23, -23, 
## -24, -27, -30, -29, -28, -28, -27, -25, -28, -27, -26, -26, -14, 
## -14, -16, -16, -14, -15, -17, -19, -17, -17, -12, -6, -6, -15, 
## -14, -16, -18, -16, -10, -10, -10, -14, -14, -14, -14, -13, -11, 
## -9, -8, -8, -9, -10, -14, -13, -15, -11, -13, -14, -14, -17, 
## -15, -13, -11, -9, -12, -11, -10, -11, -11, -15, -17, -19, -18, 
## -13, -10, -9, -13, -14, -14, -14, -13, -8, -8, -9, -10, -8, -6, 
## -9, -8, -7, -8, -10, -7, -8, -9, -13, -11, -9, -7, -7, -7, -2, 
## -1, -11, -12, -12, -8, -7, -7, -8, -7, -8, -1, -3, -7, -10, -12, 
## -12, -11, -10, -13, -10, -6, -7, -6, -7, -10, -10, -10, -6, -6, 
## -7, -8, -8, -7, -3, -3, -5, -7, -7, -9, -11, -10, -9, -8, -8, 
## -8, -9, -9, -11, -9, -7, -8, -9, -9, -10, -6, 0, 1, -4, -10, 
## -14, -10, -14, -14, -8, -7, -7, -14, -8, -7, -6, -7, -8, -9, 
## -10, -7, -9, -13, -13, -7, -8, -5, -5, -12, -14, -14, -13, -7, 
## -7, -7, -7, -7, -8, -7, -5, -6, -7, -6, -4, -7, -14, -17, -14, 
## -11, -7, -7, -9, -9, -14, -13, -11, -9, -8, -7, -6, -4, -5, -8, 
## -8, -9, -10, -8, -7, -6, -2, -5, -8, -8, -8, -10, -8, -11, -10, 
## -7, -5, -4, -1, -2, -6, -11, -12, -13, -13, -11, -9, -9, -7, 
## -8, -9, -12, -11, -11, -8, -5, -6, -7, -5, -4, -4, -9, -11, -12, 
## -9, -7, -7, -8, -7, -6, -8, -8, -10, -10, -7, -9, -8, -3, -4, 
## -5, -11, -11, -10, -10, -9, -7, -7, -6, -6, -8, -8, -8, -9, -7, 
## -6, -4, -6, -8, -11, -10, -12, -9, -7, -7, -5, -5, -6, -7, -7, 
## -9, -9, -4, -7, -6, -4, -6, -8, -8, -8, -8, -10, -8, -9, -7, 
## -8, -8, -8, -8, -7, -7, -8, -7, -6, -8, -9, -12, -14, -16, -12, 
## -9, -11, -10, -6, -10, -12, -14, -17, -15, -13, -11, -9, -8, 
## -5, -6, -8, -10, -11, -10, -6, -7, -7, -8, -7, -6, -7, -9, -13, 
## -13, -10, -11, -13, -11, -12, -11, -11, -12, -11, -8, -10, -9, 
## -9, -12, -13, -11, -10, -10, -10, -9, -9, -10, -10, -10, -10, 
## -9, -11, -9, -9, -10, -10, -9, -8, -8, -10, -10, -8, -9, -9, 
## -8, -8, -9, -8, -9, -9, -9, -9, -8, -8, -8, -9, -8, -10, -8, 
## -8, -8, -8, -8, -10, -8, -7, 3, -20, -31, -24, -19, -15, -19, 
## -23, -13, -35, 65, 81, -74, -80, -60, -1, 11, 2, 18, 10, -7, 
## -16, -15, -15, -15, -15, -15, -16, -14, -14, -15, -15, -17, -13, 
## -15, -15, -15, -15, -14, -13, -15, -16, -15, -14, -14, -15, -15, 
## -16, -16, -15, -14, -15, -15, -16, -15, -14, -12, -13, -10, -15, 
## -9, -10, -10, -4, 8, 7, -4, -5, -7, -17, -3, 8, 1, -4, -4, -2, 
## 27, 3, 1, -5, 6, 7, 5, 1, -5, -7, -11, -13, -8, 10, -21, -9, 
## 6, 21, -8, -18, -16, -15, -10, -9, -18, -15, -18, -21, 9, 4, 
## 16, 15, -5, -14, 23, 47, 26, 14, -1, -11, -13, -10, -4, 0, -1, 
## 2, 8, 11, -5, -7, -2, -10, -27, -45, -40, 25, 3, 6, -11, -19, 
## -14, -9, -4, -8, -7, -10, -13, 3, 3, 9, 14, 0, 0, 15, 29, 40, 
## 38, 35, 31, 23, 18, 4, -7, -1, -1, -13, -16, 2, -2, -13, -13, 
## -9, -18, -9, -1, -9, -12, -12, -13, -12, -3, 1, -3, -8, -15, 
## -10, -11, -11, 12, 14, 19, 30, 19, 23, 5, 5, 16, 13, 5, 3, 4, 
## -1, 6, -10, -11, -9, -1, 1, -14, -9, 9, -16, -14, -11, -4, -6, 
## -12, -8, 2, 7, 18, 19, 43, 35, 34, 30, 30, 27, 20, 16, -2, -7, 
## -9, -8, -7, -21, -10, 2, 2, -4, -10, -10, -1, 0, -12, -9, -6, 
## -8, -12, -16, -10, -6, -4, -10, -13, -5, -3, -12, -10, 1, 6, 
## 11, 26, 18, 19, 30, 22, 28, 30, 28, 27, 25, 22, 21, 23, 23, 12, 
## -6, -9, -10, -3, -3, -1, -21, -18, -7, -11, 14, 10, -8, -12, 
## -13, -17, -18, -19, -2, 1, -12, -18, -12, -6, 1, 0, -3, 2, 21, 
## 44, 48, 28, 24, 8, 6, 18, 15, 9, 8, -5, -9, -13, -12, -15, -4, 
## -14, 13, -7, -12, -12, -5, -4, -7, -11, -12, -4, -3, -2, -6, 
## -8, -6, -6, -3, -9, -3, 4, 2, -8, 0, 2, -3, 19, 15, 8, -6, -7, 
## -6, -4, -7, -8, -13, -13, -5, -14, -17, -12, -11, -9, 6, 17, 
## 17, -5, 1, -3, -8, -9, 1, -11, -12, -15, -24, -27, -13, -10, 
## -6, -17, -6, -12, -13, -14, -13, -13, -13, -14, -14, -13, -15, 
## -14, -13, -13, -14, -13, -15, -17, -15, -14, -14, -14, -9, -12, 
## -14, -14, -18, -26, -19, -18, -18, -14, -14, -13, -14, -15, -14, 
## -14, -17, -13, -13, -13, -15, -15, -14, 53, 48, 49, 53, 50, 50, 
## 53, 49, 51, 55, 60, 62, 59, 58, 68, 68, 67, 59, 53, 53, 49, 55, 
## 58, 52, 56, 64, 71, 57, 56, 49, 49, 69, 67, 70, 67, 66, 66, 69, 
## 70, 71, 71, 61, 67, 72, 72, 68, 52, 52, 52, 52, 51, 48, 50, 52, 
## 51, 48, 44, 45, 49, 35, 35, 35, 36, 38, 40, 43, 43, 42, 43, 48, 
## 46, 53, 58, 59, 57, 53, 31, 33, 45, 52, 45, 44, 43, 49, 57, 68, 
## 55, 67, 56, 56, 55, 52, 49, 56, 61, 60, 58, 56, 60, 60, 64, 68, 
## 69, 67, 74, 64, 59, 58, 54, 50, 45, 44, 44, 41, 43, 45, 49, 47, 
## 41, 40, 42, 44, 42, 38, 37, 38, 37, 39, 51, 44, 51, 58, 56, 52, 
## 49, 44, 43, 44, 41, 39, 48, 52, 49, 53, 57, 52, 52, 64, 64, 65, 
## 69, 60, 59, 63, 68, 66, 63, 59, 60, 59, 63, 66, 67, 66, 63, 63, 
## 60, 54, 49, 48, 46, 43, 45, 43, 42, 45, 48, 50, 46, 43, 43, 42, 
## 45, 46, 46, 45, 48, 49, 51, 50, 52, 50, 47, 39, 39, 41, 47, 43, 
## 44, 62, 51, 48, 48, 51, 50, 44, 50, 52, 53, 50, 44, 45, 50, 51, 
## 60, 55, 52, 50, 49, 66, 65, 66, 68, 71, 67, 64, 62, 57, 56, 54, 
## 51, 50, 48, 43, 49, 50, 43, 46, 49, 45, 59, 74, 51, 49, 56, 52, 
## 54, 64, 72, 69, 68, 66, 66, 67, 59, 57, 60, 63, 63, 66, 65, 58, 
## 55, 56, 57, 55, 55, 56, 44, 47, 46, 45, 45, 46, 45, 39, 33, 38, 
## 47, 55, 50, 45, 47, 45, 53, 51, 43, 39, 29, 31, 41, 52, 66, 59, 
## 70, 78, 75, 49, 52, 50, 70, 76, 79, 72, 66, 64, 65, 63, 61, 69, 
## 73, 76, 71, 63, 61, 60, 63, 65, 67, 64, 59, 61, 67, 63, 50, 42, 
## 39, 48, 48, 40, 43, 46, 64, 59, 57, 45, 45, 57, 57, 64, 71, 72, 
## 70, 65, 57, 57, 64, 65, 66, 68, 67, 67, 57, 56, 55, 55, 56, 53, 
## 50, 47, 43, 45, 49, 44, 42, 43, 46, 47, 46, 39, 38, 38, 37, 45, 
## 44, 46, 53, 51, 50, 51, 54, 45, 41, 32, 34, 42, 55, 61, 58, 39, 
## 45, 50, 47, 56, 47, 44, 51, 50, 59, 52, 60, 67, 63, 52, 57, 58, 
## 53, 62, 62, 68, 66, 61, 53, 52, 53, 52, 54, 60, 53, 51, 53, 53, 
## 50, 51, 48, 56, 55, 40, 39, 39, 27, 34, 43, 63, 54, 52, 57, 71, 
## 65, 78, 76, 74, 66, 67, 52, 51, 42, 42, 43, 45, 45, 46, 46, 43, 
## 47, 50, 53, 50, 46, 53, 50, 46, 43, 48, 50, 48, 44, 45, 47, 48, 
## 45, 38, 32, 44, 51, 48, 50, 46, 44, 44, 48, 49, 44, 41, 44, 46, 
## 48, 46, 46, 41, 40, 41, 41, 42, 41, 43, 47, 46, 51, 57, 44, 43, 
## 41, 38, 39, 35, 38, 44, 49, -63, -58, -44, -56, -55, -52, -45, 
## -34, -43, -36, -41, -39, -38, -37, -35, -45, -50, -49, -44, -36, 
## -38, -33, -41, -46, -55, -48, -39, -52, -40, -35, -36, -38, -46, 
## -48, -39, -42, -47, -34, -41, -49, -42, -27, -14, -9, -6, -32, 
## -48, -39, -31, -27, -28, -43, -44, -46, -61, -62, -55, -42, -39, 
## -30, -44, -59, -37, -55, -58, -53, -34, -25, -42, -40, -43, -51, 
## -51, -41, -40, -50, -47, -42, -28, -31, -37, -35, -35, -42, -43, 
## -47, -56, -40, -32, -48, -42, -33, -23, -19, -58, -49, -36, -37, 
## -44, -47, -43, -65, -64, -61, -54, -48, -40, -40, -48, -46, -44, 
## -57, -58, -51, -39, -23, -31, -40, -25, -41, -60, -49, -37, -48, 
## -41, -35, -29, -38, -53, -49, -40, -51, -56, -41, -34, -35, -32, 
## -33, -36, -39, -36, -40, -50, -56, -53, -56, -55, -49, -48, -48, 
## -54, -51, -28, -31, -16, -15, -8, -31, -46, -53, -45, -36, -34, 
## -27, -23, -30, -38, -48, -65, -63, -57, -56, -50, -48, -37, -37, 
## -47, -38, -34, -27, -19, -25, -23, -16, -14, -4, -44, -43, -41, 
## -44, -50, -63, -58, -56, -32, -35, -42, -35, -30, -21, -21, -31, 
## -48, -46, -44, -44, -53, -50, -50, -46, -45, -46, -49, -45, -47, 
## -47, -47, -39, -48, -47, -47, -50, -50, -47, -40, -40, -41, -45, 
## -45, -45, -45, -45, -46, -48, -50, -49, -51, -47, -44, -40, -39, 
## -47, -49, -15, -16, -17, -13, -11, -12, -14, -13, -15, -14, -17, 
## -16, -14, -12, -10, -12, -17, -16, -18, -19, -20, -21, -22, -22, 
## -21, -22, -19, -15, -16, -16, -19, -19, -18, -15, -14, -17, -19, 
## -18, -16, -17, -17, -15, -13, -14, -17, -17, -16, -19, -17, -12, 
## -21, -21, -18, -11, -16, -6, -9, -18, -15, -11, -7, -4, -7, -7, 
## -5, -2, -1, -4, -18, -17, -19, -11, -12, -8, -7, -11, -16, -13, 
## -16, -15, -11, -15, -17, -18, -17, -14, -14, -15, -15, -15, -14, 
## -13, -14, -15, -16, -14, -11, -16, -18, -15, -11, -2, 2, -5, 
## 9, 10, -1, 1, 3, 12, 12, 20, 21, 14, 1, -2, -2, 1, 2, 2, 5, 0, 
## -10, -10, -4, -8, -4, 2, 3, 12, 11, 20, 15, 12, 13, 9, 5, 9, 
## 3, 2, -4, -6, -17, -14, -13, -2, 1, -3, -14, -14, -15, -16, -16, 
## -15, -16, -15, -15, -18, -16, -16, -16, -15, -15, -15, -18, -18, 
## -17, -23, -21, -18, -14, -15, -14, -14, -15, -17, -16, -9, -9, 
## -9, -7, -7, -10, -8, -10, -9, -8, -4, -2, -2, 2, 6, 44, 54, 47, 
## 34, 30, 27, 25, -2, -7, -10, -8, -9, -7, -9, -9, -7, -7, -7, 
## -6, -5, -5, -9, -8, -9, -14, -13, -10, -8, -6, -6, -8, -8, -7, 
## -7, -7, -11, -11, -10, -9, -7, -9, -7, -7, -5, -5, -5, -9, -9, 
## -8, -8, -3, -4, -6, -9, -9, -9, -9, -50, -50, -50, -47, -48, 
## -48, -50, -48, -48, -47, -43, -42, -42, -46, -52, -46, -42, -43, 
## -45, -48, -43, -44, -48, -45, -51, -50, -40, -47, -46, -47, -14, 
## -55, -37, -37, -40, -44, -48, -46, -47, -50, -53, -57, -52, -56, 
## -40, -20, -29, -42, -51, -23, -32, -44, -44, -37, -31, -18, -13, 
## -48, -34, -40, -37, -52, -54, -51, -61, -68, -9, -67, -76, -42, 
## -49, -23, -55, -51, -42, -44, -44, -48, -52, -50, -46, -52, -56, 
## -57, -55, -44, -45, -55, -60, -49, -29, -31, -37, -33, -33, -33, 
## -43, -34, -36, -42, -46, -35, -35, -32, -37, -41, -43, -44, -47, 
## -50, -40, -46, -39, -43, -44, -41, -32, -38, -38, -36, -22, -40, 
## -46, -49, -40, -8, -9, -14, -13, -10, -6, -8, -4, -15, -19, -11, 
## -12, -13, -18, -18, -20, -18, -13, -15, -11, -15, -10, -16, -22, 
## -5, -21, -23, -5, 1, -13, -22, -21, -18, -18, -20, -21, -22, 
## -19, -16, -17, -19, -17, -19, -25, -27, -20, -17, -14, -19, -14, 
## -9, -18, -11, -7, -11, -10, -10, -8, -12, -15, -12, -11, -16, 
## -12, -12, -19, -16, -17, -11, -5, -6, -9, -17, -23, -21, -18, 
## -15, -15, -17, -17, -8, -14, -14, -15, -15, -16, -13, -11, -12, 
## -10, -11, -12, -8, -12, -10, -6, -10, -13, -16, -15, -14, 9, 
## 8, 13, 27, 46, 33, 27, 72, 49, 56, 70, 85, 68, 71, 74, 74, 65, 
## 67, 69, 60, 49, 50, 47, 47, 46, 42), accel_belt_y = c(4, 4, 5, 
## 3, 2, 4, 3, 4, 2, 4, 2, 2, 4, 4, 2, 4, 4, 5, 5, 5, 1, 3, 4, 4, 
## 4, 3, 3, 3, 4, 4, 4, 5, 4, 3, 4, 3, 3, 4, 3, 5, 6, 1, 3, 3, 1, 
## 4, 4, 5, 3, 4, 3, 4, 3, 4, 4, 3, 1, 3, 4, 4, 3, 3, 4, 5, 3, 5, 
## 2, 2, 2, 4, 4, 3, 4, 2, 5, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 4, 4, 
## 4, 4, 4, 3, 3, 3, 4, 5, 3, 3, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 4, 
## 4, 4, 3, 3, 3, 4, 3, 2, 5, 8, 4, 2, 2, 1, 1, 3, 4, 5, 4, 3, 3, 
## 4, 5, 3, 4, 5, 3, 4, 4, 4, 3, 5, 4, 5, 5, 3, 5, 5, 3, 3, 3, 4, 
## 3, 3, 3, 3, 3, 5, 4, 3, 5, 4, 5, 4, 3, 4, 2, 70, 68, 70, 70, 
## 68, 70, 68, 69, 69, 67, 68, 70, 69, 70, 68, 69, 69, 68, 69, 69, 
## 68, 70, 69, 69, 71, 69, 69, 69, 69, 69, 69, 70, 69, 70, 69, 68, 
## 68, 68, 70, 70, 69, 69, 71, 70, 71, 70, 68, 70, 68, 69, 70, 69, 
## 69, 73, 68, 70, 72, 70, 69, 69, 70, 70, 70, 69, 67, 68, 70, 70, 
## 71, 68, 68, 69, 70, 68, 69, 69, 69, 69, 70, 69, 67, 70, 70, 71, 
## 70, 69, 71, 70, 70, 70, 72, 69, 69, 69, 71, 73, 71, 69, 70, 70, 
## 71, 70, 69, 68, 68, 67, 68, 67, 73, 67, 69, 73, 72, 68, 71, 74, 
## 67, 68, 69, 68, 70, 71, 70, 73, 71, 71, 67, 65, 67, 70, 68, 69, 
## 69, 70, 69, 72, 70, 69, 67, 71, 72, 68, 67, 70, 70, 69, 70, 70, 
## 69, 71, 67, 66, 66, 69, 69, 71, 71, 70, 71, 68, 69, 71, 68, 67, 
## 67, 67, 70, 72, 72, 70, 71, 73, 70, 68, 67, 71, 68, 70, 69, 67, 
## 70, 71, 71, 69, 66, 68, 71, 73, 71, 71, 72, 70, 73, 68, 70, 69, 
## 71, 73, 68, 67, 68, 68, 70, 72, 71, 68, 70, 70, 69, 71, 68, 67, 
## 69, 72, 72, 71, 69, 71, 69, 70, 69, 69, 72, 71, 68, 71, 70, 71, 
## 69, 70, 71, 68, 69, 72, 69, 72, 70, 70, 70, 72, 70, 68, 70, 68, 
## 70, 71, 72, 71, 69, 71, 69, 70, 69, 69, 71, 69, 69, 72, 70, 70, 
## 70, 71, 72, 73, 68, 68, 72, 73, 67, 69, 71, 68, 70, 70, 69, 68, 
## 69, 72, 67, 67, 69, 67, 70, 71, 69, 70, 71, 70, 71, 70, 72, 69, 
## 68, 70, 70, 70, 70, 70, 71, 73, 71, 72, 71, 73, 69, 66, 68, 71, 
## 70, 70, 72, 72, 70, 70, 72, 69, 69, 70, 71, 74, 72, 66, 69, 72, 
## 73, 68, 74, 74, 73, 68, 70, 68, 67, 73, 69, 69, 72, 73, 68, 66, 
## 69, 67, 68, 73, 71, 70, 69, 69, 71, 70, 70, 70, 73, 71, 67, 70, 
## 70, 71, 70, 66, 68, 69, 71, 70, 67, 71, 69, 68, 69, 71, 70, 72, 
## 70, 70, 72, 70, 69, 68, 69, 68, 68, 70, 73, 71, 71, 69, 69, 70, 
## 70, 68, 68, 69, 72, 71, 69, 70, 73, 70, 70, 71, 69, 70, 72, 74, 
## 71, 67, 65, 68, 69, 71, 72, 69, 67, 72, 68, 67, 72, 71, 68, 71, 
## 69, 69, 72, 70, 71, 70, 71, 71, 72, 70, 68, 68, 71, 72, 70, 71, 
## 68, 69, 70, 68, 69, 71, 71, 70, 71, 70, 70, 70, 71, 71, 69, 71, 
## 70, 68, 71, 69, 68, 70, 70, 70, 69, 70, 76, 71, 65, 73, 67, 72, 
## 67, 66, 68, 72, 69, 73, 70, 70, 70, 71, 69, 71, 71, 71, 69, 69, 
## 71, 68, 68, 69, 72, 70, 69, 70, 71, 71, 71, 71, 68, 70, 73, 70, 
## 68, 70, 69, 73, 70, 68, 69, 72, 72, 68, 68, 71, 69, 70, 70, 70, 
## 70, 70, 69, 72, 70, 69, 68, 70, 69, 69, 69, 71, 39, 43, 43, 41, 
## 36, 44, 46, 35, 45, 45, 40, 44, 38, 36, 47, 40, 36, 46, 50, 48, 
## 45, 46, 47, 48, 44, 46, 45, 47, 47, 44, 48, 49, 46, 46, 46, 45, 
## 44, 46, 44, 45, 46, 47, 45, 43, 44, 44, 45, 45, 43, 45, 43, 44, 
## 43, 44, 44, 44, 43, 44, 44, 42, 46, 45, 44, 46, 46, 45, 42, 42, 
## 43, 44, 45, 44, 43, 43, 46, 44, 43, 45, 45, 44, 43, 46, 43, 45, 
## 46, 46, 45, 45, 44, 44, 46, 45, 43, 45, 45, 45, 46, 44, 46, 44, 
## 45, 44, 46, 44, 45, 45, 47, 45, 45, 44, 42, 44, 45, 45, 44, 47, 
## 45, 46, 45, 46, 44, 45, 44, 44, 46, 46, 46, 44, 44, 45, 44, 45, 
## 45, 45, 45, 45, 44, 46, 45, 46, 44, 46, 45, 44, 46, 46, 45, 46, 
## 46, 45, 45, 46, 47, 46, 44, 44, 44, 45, 46, 45, 44, 42, 45, 45, 
## 44, 44, 43, 42, 45, 44, 46, 45, 46, 49, 48, 46, 45, 44, 46, 44, 
## 46, 46, 44, 43, 44, 46, 45, 44, 45, 45, 45, 46, 44, 46, 42, 46, 
## 45, 44, 44, 44, 47, 47, 50, 46, 45, 43, 46, 45, 64, 64, 63, 63, 
## 64, 61, 66, 60, 64, 65, 67, 61, 61, 64, 65, 62, 60, 61, 58, 64, 
## 64, 63, 60, 63, 44, 47, 47, 45, 45, 46, 45, 45, 46, 45, 46, 47, 
## 45, 47, 46, 45, 45, 41, 43, 45, 43, 59, 90, 42, 52, 51, 50, 46, 
## 46, 47, 47, 40, 40, 41, 44, 44, 46, 45, 44, 45, 45, 45, 44, 42, 
## 43, 43, 44, 48, 46, 48, 45, 41, 47, 53, 57, 52, 31, 64, 38, 43, 
## 22, 59, 44, 45, 45, 45, 45, 44, 48, 48, 48, 43, 44, 44, 43, 43, 
## 42, 41, 48, 41, 42, 44, 44, 45, 44, 44, 43, 42, 42, 43, 42, 43, 
## 41, 43, 45, 44, 43, 44, 45, 46, 44, 47, 46, 42, 44, 45, 47, 46, 
## 45, 47, 45, 47, 46, 45, 47, 46, 47, 45, 44, 45, 46, 46, 47, 45, 
## 44, 42, 44, 47, 42, 40, 42, 42, 41, 42, 41, 38, 39, 37, 37, 35, 
## 42, 42, 37, 49, 52, 55, 60, 56, 52, 49, 47, 50, 51, 50, 48, 51, 
## 50, 48, 44, 42, 40, 36, 38, 41, 42, 36, 39, 41, 41, 38, 37, 37, 
## 39, 41, 37, 44, 43, 43, 45, 43, 44, 42, 41, 46, 42, 41, 43, 41, 
## 42, 45, 47, 48, 47, 52, 51, 47, 43, 43, 43, 46, 44, 43, 42, 44, 
## 44, 44, 45, 46, 44, 43, 45, 45, 45, 45, 46, 46, 47, 47, 44, 47, 
## 43, 46, 42, 43, 43, 44, 45, 45, 46, 45, 44, 43, 45, 45, 45, 47, 
## 44, 43, 44, 44, 47, 46, 45, 46, 43, 45, 47, 44, 44, 43, 46, 44, 
## 46, 45, 46, 46, 47, 46, 45, 44, 44, 42, 44, 45, 44, 43, 46, 44, 
## 44, 44, 44, 45, 45, 45, 43, 44, 45, 46, 43, 43, 45, 42, 47, 49, 
## 41, 40, 44, 41, 42, 44, 44, 46, 45, 44, 46, 43, 45, 45, 45, 44, 
## 46, 47, 46, 44, 45, 45, 45, 45, 45, 45, 45, 43, 44, 43, 46, 46, 
## 45, 45, 46, 46, 47, 46, 45, 43, 44, 42, 44, 46, 43, 43, 44, 44, 
## 43, 45, 44, 47, 45, 47, 46, 43, 42, 45, 45, 44, 45, 47, 44, 45, 
## 45, 45, 45, 44, 45, 46, 44, 44, 45, 44, 45, 44, 45, 42, 43, 46, 
## 46, 44, 45, 46, 45, 43, 44, 45, 43, 45, 46, 46, 45, 42, 44, 45, 
## 43, 43, 46, 44, 44, 47, 46, 45, 44, 45, 44, 45, 43, 44, 45, 46, 
## 46, 45, 45, 44, 43, 45, 46, 41, 45, 47, 47, 44, 43, 46, 43, 43, 
## 44, 46, 44, 44, 44, 43, 46, 44, 44, 43, 44, 45, 44, 46, 44, 43, 
## 41, 42, 43, 44, 47, 46, 48, 47, 44, 44, 49, 47, 44, 45, 44, 44, 
## 43, 43, 43, 44, 43, 44, 43, 43, 45, 45, 44, 44, 44, 44, 44, 44, 
## 43, 44, 43, 44, 44, 42, 45, 48, 44, 46, 43, 45, 45, 45, 43, 43, 
## 44, 42, 44, 44, 43, 44, 44, 42, 44, 44, 46, 44, 41, 42, 43, 43, 
## 46, 46, 44, 44, 44, 44, 42, 42, 43, 44, 43, 44, 44, 45, 47, 47, 
## 45, 45, 45, 44, 44, 46, 44, 43, 44, 44, 44, 43, 44, 42, 45, 44, 
## 42, 44, 44, 45, 45, 42, 42, 45, 45, 44, 43, 47, 45, 45, 44, 44, 
## 43, 44, 43, 42, 44, 44, 47, 44, 47, 45, 45, 44, 44, 45, 41, 42, 
## 45, 45, 43, 43, 43, 46, 45, 42, 46, 47, 44, 45, 44, 45, 43, 45, 
## 45, 43, 44, 43, 46, 44, 47, 44, 45, 42, 44, 46, 43, 43, 42, 44, 
## 43, 45, 44, 47, 44, 44, 44, 46, 43, 46, 44, 44, 44, 46, 40, 45, 
## 45, 45, 47, 45, 44, 44, 44, 44, 42, 43, 45, 43, 47, 45, 46, 45, 
## 44, 45, 43, 45, 43, 41, 44, 46, 45, 45, 44, 42, 42, 45, 46, 46, 
## 47, 45, 43, 44, 45, 45, 46, 43, 42, 41, 43, 44, 46, 46, 45, 45, 
## 45, 44, 44, 42, 40, 41, 44, 44, 43, 44, 44, 44, 43, 43, 44, 43, 
## 45, 46, 44, 46, 47, 44, 44, 45, 46, 45, 44, 47, 49, 47, 42, 43, 
## 43, 45, 44, 44, 42, 44, 46, 43, 43, 45, 45, 5, 5, 4, 6, 3, 4, 
## 4, 1, 2, 4, 3, 6, 7, 6, 3, 0, 5, 4, 3, 5, 2, 5, 4, 4, 3, 1, 3, 
## 5, 5, 4, 6, 1, 5, 5, 5, 3, 4, 3, 3, 2, 4, 4, 3, 3, 4, 6, 3, 2, 
## 5, 4, 3, 1, 6, 4, 3, 3, 4, 1, 4, 5, 4, 3, 4, 2, 2, 6, 6, 4, 2, 
## 2, 1, 5, 5, 4, 6, 3, 2, 5, 3, 3, 0, 4, 6, 6, 4, 1, 5, 5, 1, 3, 
## 3, 4, 3, 3, 5, 5, 4, 2, 3, 3, 3, 2, 3, 6, 7, 3, 2, 6, 4, 3, 2, 
## 7, 2, 1, 5, 4, 2, 2, 1, 1, 4, 5, 3, 2, 4, 4, 2, 7, 6, 5, 4, 6, 
## 4, 4, 2, 1, 6, 4, 1, 4, 7, 4, 3, 4, 5, 4, 5, 3, 5, 5, 3, 3, 3, 
## 4, 4, 4, 4, 4, 2, 3, 3, 3, 2, 6, 5, 3, 4, 5, 5, 3, 3, 4, 3, 4, 
## 4, 6, 6, 6, 4, 5, 5, 2, 2, 3, 3, 4, 2, 4, 3, 2, 4, 4, 3, 3, 4, 
## 4, 4, 4, 3, 4, 6, 1, 4, 4, 5, 5, 4, 5, 4, 4, 2, 2, 3, 5, 4, 6, 
## 2, 2, 3, 3, 4, 3, 4, 4, 0, 0, 1, 5, 5, 6, 5, 6, 1, 2, 1, 3, 4, 
## 5, 3, 3, 4, 4, 5, 4, 6, 5, 5, 5, 6, 4, 3, 2, 3, 4, 4, 3, 4, 3, 
## 2, 1, 2, 1, 5, 6, 4, 2, 2, 4, 5, 5, 5, 5, 3, 4, 6, 3, 1, 0, 1, 
## 5, 5, 4, 3, 2, 3, 5, 2, 3, 2, 5, 1, 7, 6, 2, 0, 3, 5, 5, 1, 1, 
## 3, 5, 4, 5, 4, 5, 2, 3, 5, 1, 1, 4, 3, 2, 4, 3, 5, 6, 2, 4, 3, 
## 4, 3, 3, 4, 3, 1, 6, 4, 4, 4, 2, 4, 3, 4, 4, 2, 4, 4, 5, 3, 3, 
## 4, 4, 3, 4, 2, 0, -1, -1, 4, 4, 4, 4, 4, 3, 6, 7, 2, 3, 3, 3, 
## 4, 3, 4, 4, 3, 5, 6, 5, 3, 2, 2, 2, 2, 3, 3, 6, 2, 4, 6, 6, 4, 
## 3, 4, 4, 3, 2, 7, 3, 2, 3, 2, 4, 5, 3, 1, 6, 7, 5, 5, 1, 1, 4, 
## 4, 4, 4, 3, 2, 3, 2, 1, 2, 0, 0, 4, 3, 3, 5, 4, 2, 6, 1, 2, 3, 
## 5, 4, 3, 4, 4, 3, 6, 3, 4, 3, 2, 4, 0, 2, 4, 2, 3, 4, 4, 4, 4, 
## 2, 3, 3, 1, 5, 4, 4, 4, 3, 2, 4, 6, 4, 4, 4, 4, 3, 4, 4, 4, 3, 
## 3, 4, 5, 4, 2, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 
## 3, 4, 5, 2, 3, 5, 4, 4, 5, 4, 4, 4, 4, 3, 4, 3, 3, 4, 2, 4, 4, 
## 4, 3, 3, 6, 5, 1, 4, 5, 0, 7, 5, 3, 5, 6, 2, 4, 5, 3, 5, 5, 4, 
## 3, 5, 2, -1, 4, 8, 3, 1, 3, 6, 2, 1, 1, 2, 5, 3, 4, 3, 3, 1, 
## 4, 7, 2, 2, 4, 2, 5, 2, 2, 3, 2, 4, 6, 2, 4, 2, 3, 3, 3, 6, 4, 
## 2, 2, 7, 5, 2, 3, 5, 4, 5, 5, 3, 0, 2, 7, 8, 4, 3, 3, 3, 3, 1, 
## 3, 0, 7, 8, 9, 5, 2, 4, 5, 3, 2, 2, 2, 3, 1, 4, 2, 1, 2, 1, 3, 
## 2, 2, 3, 3, 0, 1, 3, 1, 2, 3, 2, 1, 0, 1, 3, 3, 3, 2, 0, -1, 
## 3, 5, 2, 2, -1, 3, 2, 0, 1, 6, 4, 3, 1, -1, 0, 3, 1, 2, 3, 3, 
## 3, 4, 3, 1, -1, 3, 1, 1, 2, 5, 3, 2, 2, 3, 2, -1, -1, 1, 3, 1, 
## 3, 2, 2, 0, 4, 3, -1, 2, 1, 3, 3, 2, 3, 3, 2, 4, 2, 2, 2, 2, 
## 2, 2, 3, 4, 2, 2, 0, 3, 2, 3, 2, 2, 3, 1, 0, 2, 5, 3, 2, 2, 0, 
## 0, 3, 3, 3, 3, 4, 2, 2, 1, 4, 4, 3, 3, 6, 4, 5, 6, 0, -1, -1, 
## -1, 4, 4, 2, 3, 3, 1, 2, 2, 3, 5, 2, 3, 1, -1, 0, 1, 4, 2, 1, 
## 1, 2, 1, 1, 0, 4, 1, 1, 3, 3, 4, 3, 1, 3, 2, 2, 2, 1, 1, 3, 6, 
## 3, 1, 2, 3, 6, 5, 1, -2, 3, 3, 2, 7, 1, -3, -1, 6, 7, 5, 2, -2, 
## 3, 4, 0, 0, 3, 3, 1, 2, 2, 4, 1, 1, 1, 3, 2, 1, 2, 0, 1, 7, 6, 
## 2, -1, 3, 4, -2, 6, 5, 0, 0, 2, 1, 3, 4, 2, 2, 2, 3, 3, 3, 1, 
## 2, 1, 4, 3, 2, 3, 1, 2, 3, 3, 1, 0, 3, 3, 4, 2, 2, 2, 2, 2, 2, 
## 3, 1, 11, -2, -1, 3, 5, 8, -1, -2, 6, 9, 8, 7, 2, -2, -3, -1, 
## 1, 3, 9, 8, 0, -3, 10, 13, 7, -4, -3, -4, -4, 2, -1, -1, -4, 
## 1, 11, 9, 5, -2, 9, 5, 1, 0, 0, 0, 2, 5, 3, 0, 0, 3, 1, 3, 4, 
## 3, 1, 0, 3, 3, 2, 2, 1, 0, 2, 1, 3, 2, 1, 3, 0, 2, 4, 3, 1, 3, 
## 3, 3, 2, 2, 1, 2, 2, 1, 3, 2, 2, 2, 0, 3, 3, 2, 2, 3, 2, 2, 0, 
## 3, 4, 3, 3, 3, 3, 4, 4, 3, 5, 4, 5, 5, 1, 4, 5, 1, 0, 4, 5, 3, 
## 3, 2, 2, 2, -2, 8, 0, 2, 6, 5, 3, -1, 3, 6, 6, 6, 3, 1, 3, 3, 
## 3, 5, 4, 3, 0, 4, 5, 4, 4, 3, 1, 3, 3, 5, 3, 2, 5, 4, 5, 3, 2, 
## 4, 3, 5, 3, 2, 3, 4, 5, 5, 3, 2, 3, 3, 5, 5, 5, 7, 4, 4, 4, 1, 
## 3, 5, 1, 2, 6, 3, 3, 4, 4, 3, 4, 5, 2, 1, 4, 6, 4, 2, 4, 5, 4, 
## 4, 3, 1, 2, 5, 4, 3, 5, 3, 5, 5, 3, 5, 3, 3, 6, 5, 3, 4, 4, 5, 
## 2, 2, 1, -1, 2, 4, 5, 4, 6, 3, 2, 1, 1, 3, 3, 3, 1, 0, 5, 4, 
## 8, 3, 6, 4, 3, 6, 0, 5, 3, 2, 4, 7, 4, 1, 5, 3, 4, 6, 5, 4, 3, 
## 1, 0, 2, 3, 4, 4, 4, 2, 2, 0, 2, 4, 6, 6, 4, 4, 4, 5, 1, 4, 5, 
## 6, 2, 2, 2, 2, 4, 5, 4, 5, 5, 4, 4, 4, 4, 0, 1, 1, 0, 6, 6, 8, 
## 4, 4, 0, 0, 2, 2, 4, 5, 3, 6, 5, 2, 5, 3, 6, 5, 2, 1, 8, 2, 0, 
## 4, 4, 2, 1, 5, 4, 2, 4, 3, 4, 3, 4, 1, 2, 5, 7, 6, 2, 5, 4, 3, 
## 4, 4, 1, 0, 2, 5, 6, 5, 2, 2, 5, 7, 6, 5, 4, 4, -2, 3, 2, 9, 
## 5, 8, 7, 4, 3, 3, 4, 3, 5, 2, 5, 3, 5, 4, 1, 4, 8, 11, 0, 3, 
## 4, 2, 3, 3, 4, 3, 2, 6, 4, 1, 2, 3, 4, 4, 4, 3, 4, 3, 5, 6, 2, 
## 3, 3, 4, 4, 3, 2, 4, 4, 4, 1, 2, 8, 3, 1, -3, 6, 7, 9, 8, 0, 
## 7, 3, 9, 0, 5, 2, -1, 0, 8, 3, 3, 4, 4, 1, 2, 6, 5, 2, 2, 0, 
## 3, 2, 4, 4, 0, 1, 3, 4, 7, 3, 4, 3, 4, 3, 4, 5, 2, 3, 2, 2, 6, 
## 4, 2, 3, 5, 5, 4, 2, -1, 1, 3, 7, 9, 3, 1, 3, 2, 1, 3, 4, 2, 
## 5, 0, 5, 4, 2, 4, 2, 5, 3, 5, 3, 2, 5, 5, 6, 6, 5, 4, 6, 4, 4, 
## 2, 1, 2, 1, 1, 4, 4, 2, 2, 4, 3, 5, 8, 4, 1, 3, 3, 3, 4, 1, 4, 
## 3, 5, 5, 3, 5, 6, 1, -1, 1, 7, 2, 2, 3, 3, 1, 6, 4, 2, 4, 0, 
## 3, 2, 3, 2, 3, 6, 3, 6, 3, 0, -3, 2, 9, 12, 12, 7, 1, 2, 0, 2, 
## 5, 3, 2, 6, 5, 0, 2, 4, 4, 1, 5, 5, 1, 1, 9, 3, 4, 6, 5, 4, 3, 
## 2, 4, 2, 5, 1, 4, 2, 3, 3, 1, 2, 2, 2, 7, 4, 5, 6, 2, 2, 2, 3, 
## 4, 4, 2, 4, 4, 4, 6, 6, 5, 2, 2, 3, 2, 1, 8, 7, 4, 0, 7, 6, 6, 
## 3, 3, 4, 3, 3, 1, 5, 5, 7, 4, 2, 5, 2, 3, 0, 9, 7, 13, 3, 5, 
## 8, 6, 3, 0, 4, 6, 0, 1, 5, 4, 2, 5, 3, 3, 2, 3, 5, 3, 3, 3, 4, 
## 4, 3, 7, 4, 4, 4, 5, 3, 3, 2, 5, 4, 4, 4, 5, 4, 3, 2, 4, 3, 3, 
## 3, 4, 4, 3, 3, 3, 3, 5, 5, 2, 5, 3, 4, 3, 4, 3, 5, 3, 5, 3, 3, 
## 4, 4, 4, 3, 4, 5, 4, 3, 3, 6, 5, 4, 3, 3, 4, 3, 3, 4, 8, -2, 
## -1, 5, 4, 6, -1, 0, 1, 7, -1, 3, 4, 4, 2, 3, 2, 1, 2, 2, 2, 0, 
## 1, 1, 1, 1, 3, 2, 1, 2, 2, 2, 2, 2, 3, 3, 3, -1, 0, 0, 2, 1, 
## 2, 4, 1, 3, 1, 3, 1, 2, 2, 2, 2, 3, 5, 3, 1, 1, 1, 4, 0, 2, 2, 
## 1, 1, 3, 1, 2, 2, -1, 1, 2, 6, 4, 2, 1, 2, 3, 1, -1, -1, 4, 7, 
## -3, -2, 3, 1, 4, 4, 1, 3, 0, 3, 6, -2, 7, 4, 6, 3, 1, -1, -1, 
## 4, -1, 4, 4, 1, 2, 1, 1, 1, 1, 3, 2, 1, 1, 2, 1, 1, 3, 4, 0, 
## 5, 2, 2, 1, -1, 1, -2, 5, 5, 3, 1, 9, 7, 9, 6, -7, 0, 3, 4, 1, 
## 2, 3, 0, 5, 1, 4, 3, 0, 1, -1, 1, 0, 2, 1, 1, 2, 0, 0, -1, 3, 
## 1, 1, 4, 7, 6, 5, 2, 3, 3, 1, 0, 1, 2, 4, 3, 3, 1, 1, 0, 1, 0, 
## -2, 0, 3, 4, 2, 2, 2, 2, 4, 2, 3, 0, 2, 4, 2, 1, 0, 0, 0, 0, 
## 1, 1, 2, 5, 0, 2, 1, -2, 0, 3, 5, 3, 1, 0, 5, 2, 3, -3, 6, 3, 
## 4, 6, 5, -1, 4, 4, 3, 1, 0, 2, 0, 3, 6, 4, 3, 1, 5, 4, 3, 3, 
## 0, 0, 2, 4, -1, 3, 4, 1, 3, 3, 1, -1, 3, 6, 4, 5, 5, -1, 2, 6, 
## 0, 1, 5, 3, 0, 2, 3, 3, 5, 2, 0, 3, 7, -1, -4, 2, -1, -2, 2, 
## 4, 2, 0, 4, 4, 3, 2, 3, 0, 5, 1, 1, 2, 0, 4, 3, 1, 1, 1, 4, 6, 
## 4, 1, 2, 2, 3, 4, 2, 1, 3, 1, 0, 5, 6, -1, 1, 3, 6, 2, 1, 8, 
## 0, 2, 2, 3, 0, 2, 0, -2, -1, 0, 2, 5, 1, 3, 3, 5, 1, 1, 2, 5, 
## 5, 3, 3, 0, 2, 0, 2, 4, 0, 1, 1, 1, 0, 1, 2, 4, 3, 2, 0, 3, 0, 
## 3, 5, 0, 9, 10, 7, 3, 0, 21, 5, -4, -2, 1, 1, 4, 7, -1, 2, -2, 
## -2, 1, 2, 6, -1, 1, 3, 7, 5, 3, 3, 2, 3, 1, 1, 1, -1, 3, 3, 3, 
## 2, 1, 2, 4, 2, 2, 5, 5, 3, 7, 1, 1, 6, -4, -1, 4, 3, 4, 0, -1, 
## -2, 2, 4, 6, 3, 1, 1, 3, 0, 8, 3, -4, 9, 2, 3, 3, 0, 5, 4, 3, 
## 1, 7, 1, -3, -1, 6, 1, 3, 7, 9, 4, 4, 7, 2, 2, 2, 1, 0, 2, 6, 
## 3, 4, 0, 0, 4, -1, -3, 3, 0, 3, 6, 5, 2, 1, 3, 3, 4, 4, 2, 1, 
## 2, 6, -1, 2, 1, 1, 4, 3, 2, 2, 1, 2, 4, 2, 1, 0, 4, 7, 4, 4, 
## 4, 2, 7, -2, 5, 3, 1, 7, 1, -2, 3, 4, -4, 7, 2, -2, 1, 0, -1, 
## -2, 1, 3, 2, 2, 0, 3, 6, 7, 4, 0, 3, 1, 0, 0, 4, 2, 1, 1, 1, 
## 3, 6, 1, 5, 0, 2, 7, 1, -1, 2, 7, 10, 3, 3, -1, 0, 1, 3, 3, -2, 
## -2, -1, -2, -1, 1, 0, 1, -2, 2, 0, -1, 3, 2, 1, 0, 2, 3, 4, 6, 
## 0, 2, 3, 2, 0, 3, 4, 1, 1, 1, 4, -2, 5, 1, 2, -2, 0, 0, 2, 4, 
## 4, 6, 2, 8, 7, -1, -1, 3, 9, 8, 0, 1, 1, 3, 2, 2, -1, 2, 3, 4, 
## 2, 4, 2, -1, 2, 3, 0, 2, 2, 2, 1, 0, 3, 2, 5, 2, 3, 3, 2, 3, 
## -2, -4, 2, 5, 4, 4, 3, 4, 1, 0, 3, 8, 1, -1, -1, 7, -3, 3, 4, 
## 3, 5, 6, -1, -2, -2, -3, -1, 0, -2, -1, 0, 2, -1, 0, 1, 7, 5, 
## 5, 4, 1, 7, 8, 2, 3, 6, 3, -1, -2, 3, 5, 4, 3, 2, 2, 3, 3, 2, 
## 3, 1, 3, 1, 5, 3, -2, 5, 1, 2, 2, -2, -1, 3, 5, 5, 2, 4, 6, 2, 
## -1, -1, -2, 7, -3, 0, 3, 2, 4, 1, 3, 2, 2, 2, 3, 2, 0, 3, 6, 
## 1, 5, 5, 2, 2, 3, 2, 5, 0, 2, 1, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 
## 6, 0, 4, -1, 3, 0, 1, 4, 2, 1, 1, 5, 1, 4, 4, 3, 3, 4, 4, 4, 
## 5, 2, 3, 5, 4, 3, 4, 5, 1, 2, 4, 5, 4, 8, 7, 4, 4, 4, 3, 4, 2, 
## 3, 2, 4, 4, 6, 4, 2, 5, 2, 2, 1, 1, 2, 4, 4, 4, 3, 2, 2, 2, 3, 
## 4, 6, 3, 4, 2, 42, 46, 45, 44, 47, 44, 45, 45, 43, 43, 44, 46, 
## 45, 44, 44, 45, 47, 46, 46, 45, 45, 43, 43, 43, 43, 41, 46, 47, 
## 45, 46, 44, 45, 44, 47, 45, 44, 46, 44, 42, 43, 44, 43, 45, 45, 
## 43, 44, 43, 42, 44, 45, 46, 45, 45, 44, 42, 44, 45, 46, 45, 45, 
## 45, 44, 43, 46, 44, 46, 44, 46, 45, 46, 43, 44, 44, 45, 45, 43, 
## 42, 43, 42, 45, 46, 44, 43, 43, 45, 45, 44, 45, 46, 46, 44, 43, 
## 45, 44, 44, 45, 46, 46, 45, 45, 44, 44, 43, 45, 44, 44, 44, 46, 
## 45, 45, 45, 44, 44, 44, 45, 44, 47, 45, 47, 46, 45, 44, 45, 44, 
## 44, 43, 45, 45, 45, 45, 44, 43, 44, 43, 45, 43, 42, 45, 47, 48, 
## 46, 46, 48, 49, 47, 47, 45, 45, 47, 43, 45, 42, 44, 45, 46, 45, 
## 47, 44, 64, 74, 71, 65, 61, 62, 61, 62, 63, 64, 64, 66, 65, 63, 
## 63, 64, 63, 65, 66, 64, 63, 63, 62, 62, 65, 64, 64, 64, 64, 65, 
## 50, 59, 54, 57, 60, 66, 59, 67, 68, 66, 56, 57, 57, 85, 76, 58, 
## 51, 52, 68, 66, 68, 65, 64, 62, 62, 64, 65, 64, 64, 63, 64, 64, 
## 63, 62, 63, 64, 64, 63, 65, 63, 63, 63, 64, 63, 63, 65, 64, 62, 
## 63, 60, 61, 62, 62, 66, 63, 62, 64, 69, 60, 66, 63, 62, 63, 60, 
## 61, 61, 62, 60, 58, 58, 59, 59, 59, 61, 59, 62, 62, 61, 60, 62, 
## 62, 61, 63, 70, 73, 74, 55, 61, 62, 66, 62, 61, 65, 66, 64, 60, 
## 66, 66, 66, 62, 61, 64, 65, 66, 61, 63, 64, 64, 65, 55, 58, 62, 
## 59, 63, 67, 62, 60, 62, 61, 60, 59, 61, 62, 62, 61, 61, 62, 62, 
## 65, 66, 67, 63, 62, 61, 64, 62, 60, 59, 61, 61, 63, 64, 65, 65, 
## 62, 61, 63, 65, 62, 61, 65, 62, 62, 64, 64, 64, 63, 61, 62, 62, 
## 60, 63, 65, 64, 60, 65, 63, 64, 63, 62, 64, 63, 64, 66, 63, 67, 
## 65, 63, 61, 63, 63, 59, 59, 61, 66, 62, 59, 60, 59, 60, 61, 60, 
## 62, 63, 63, 63, 64, 63, 63, 63, 63, 61, 63, 65, 60, 64, 64, 62, 
## 63, 66, 64, 61, 62, 59, 59, 63, 64, 64, 66, 65, 63, 62, 64, 64, 
## 64, 67, 58, 67, 67, 59, 64, 65, 67, 63, 61, 64, 62, 63, 64, 63, 
## 64, 63, 62, 68, 61, 58, 62, 63, 64, 65, 62, 62, 59, 58, 58, 63, 
## 62, 65, 62, 64, 62, 63, 62, 66, 66, 59, 58, 63, 64, 64, 63, 61, 
## 62, 67, 62, 60, 61, 62, 64, 64, 62, 62, 63, 58, 64, 67, 65, 63, 
## 65, 59, 60, 62, 61, 61, 64, 63, 60, 63, 66, 62, 64, 64, 61, 60, 
## 59, 66, 65, 62, 62, 61, 62, 62, 61, 63, 59, 67, 62, 65, 65, 63, 
## 63, 64, 64, 62, 63, 62, 64, 65, 63, 66, 61, 60, 64, 67, 65, 63, 
## 62, 63, 62, 62, 63, 67, 59, 61, 64, 64, 62, 62, 63, 64, 64, 63, 
## 64, 61, 57, 68, 68, 64, 63, 62, 65, 65, 62, 60, 61, 62, 60, 63, 
## 62, 63, 63, 61, 63, 64, 63, 63, 62, 61, 63, 63, 63, 62, 63, 62, 
## 61, 62, 64, 64, 63, 62, 63, 65, 63, 61, 61, 60, 64, 67, 66, 62, 
## 63, 60, 60, 65, 67, 64, 60, 62, 63, 65, 62, 64, 66, 63, 62, 60, 
## 63, 63, 62, 61, 61, 61, 63, 62, 64, 63, 62, 65, 62, 60, 65, 65, 
## 64, 61, 60, 58, 60, 61, 61, 65, 63, 61, 62, 64, 64, 60, 67, 69, 
## 64, 63, 62, 64, 65, 64, 62, 62, 62, 62, 61, 62, 64, 63, 62, 60, 
## 62, 63, 65, 63, 60, 61, 64, 62, 62, 62, 60, 62, 62, 63, 62, 63, 
## 63, 64, 60, 67, 70, 66, 62, 64, 58, 62, 62, 61, 66, 66, 59, 62, 
## 63, 64, 64, 61, 59, 59, 59, 61, 65, 65, 63, 61, 64, 63, 63, 64, 
## 65, 61, 62, 63, 61, 63, 65, 65, 65, 59, 60, 62, 60, 61, 60, 67, 
## 67, 62, 62, 62, 62, 64, 67, 65, 67, 71, 64, 63, 64, 59, 63, 59, 
## 60, 61, 65, 63, 62, 62, 63, 65, 65, 62, 60, 62, 64, 63, 61, 60, 
## 62, 62, 61, 62, 61, 61, 62, 62, 63, 61, 61, 65, 61, 60, 63, 63, 
## 63, 63, 63, 62, 60, 60, 62, 65, 65, 65, 65, 64, 62, 68, 63, 64, 
## 65, 64, 65, 64, 65, 62, 62, 62, 62, 63, 65, 63, 64, 62, 67, 64, 
## 58, 65, 64, 62, 58, 61, 65, 66, 60, 57, 69, 69, 61, 63, 63, 57, 
## 64, 65, 60, 65, 68, 62, 63, 64, 63, 62, 62, 60, 60, 60, 61, 63, 
## 62, 64, 64, 61, 63, 63, 63, 62, 64, 64, 68, 64, 62, 65, 65, 60, 
## 60, 65, 62, 62, 63, 61, 61, 69, 62, 64, 65, 61, 67, 61, 61, 64, 
## 65, 63, 59, 62, 63, 66, 60, 61, 60, 63, 65, 65, 62, 64, 64, 62, 
## 60, 63, 63, 64, 64, 64, 64, 61, 61, 60, 62, 64, 63, 62, 62, 62, 
## 63, 62, 62, 63, 63, 62, 62, 62, 63, 61, 63, 44, 45, 42, 44, 46, 
## 45, 44, 42, 42, 44, 48, 44, 45, 46, 43, 44, 42, 43, 45, 45, 46, 
## 44, 43, 46, 44, 43, 42, 43, 44, 44, 46, 44, 46, 43, 45, 45, 45, 
## 45, 45, 45, 45, 39, 40, 44, 47, 42, 42, 46, 43, 42, 45, 44, 44, 
## 42, 43, 46, 44, 45, 45, 46, 45, 43, 44, 44, 44, 43, 41, 41, 44, 
## 42, 43, 45, 45, 46, 45, 45, 46, 46, 44, 43, 44, 45, 46, 44, 46, 
## 42, 43, 43, 44, 45, 43, 42, 45, 42, 43, 44, 44, 44, 43, 45, 44, 
## 46, 45, 43, 61, 63, 60, 62, 61, 57, 59, 63, 67, 60, 64, 62, 62, 
## 63, 66, 62, 62, 63, 62, 63, 62, 62, 65, 61, 63, 61, 63, 63, 63, 
## 66, 63, 61, 63, 64, 63, 64, 62, 63, 60, 61, 64, 65, 60, 58, 60, 
## 64, 68, 65, 64, 62, 60, 64, 63, 64, 61, 66, 63, 61, 62, 63, 64, 
## 63, 63, 62, 67, 61, 63, 58, 62, 62, 61, 66, 61, 62, 65, 64, 68, 
## 58, 61, 63, 61, 64, 59, 61, 60, 59, 62, 61, 63, 63, 61, 64, 64, 
## 64, 64, 64, 65, 64, 62, 62, 63, 63, 60, 63, 61, 66, 65, 62, 64, 
## 64, 63, 64, 65, 70, 75, 82, 83, 75, 52, 55, 60, 66, 71, 58, 71, 
## 63, 54, 47, 50, 53, 1, 4, 1, 2, 2, 3, 3, 4, 4, 4, 0, 2, 3, 2, 
## 0, -1, 1, 2, 1, 1, 4, 2, 1, 4, 5, 3, 2, 1, -1, 2, 2, 3, 2, 1, 
## -1, 1, 2, 4, 2, 0, -2, -3, 1, 2, 3, 5, 5, 2, 1, -1, 0, -2, 3, 
## 4, 4, 5, 1, 3, 2, 2, 3, 6, 1, 2, 8, 3, -1, 4, 4, 5, 6, 2, 2, 
## 6, 6, 2, 5, 3, 2, 6, 3, 2, 3, 4, 3, 4, 2, 0, 2, 3, 4, 2, 4, 3, 
## 4, 3, 3, 1, 3, 4, 4, 3, 3, 2, 3, 4, 4, 6, 5, 3, 2, 1, 1, 4, 5, 
## 5, 5, 2, 3, 2, 5, 3, 2, 4, 3, 3, 2, 4, 4, 4, 4, 5, 4, 4, 5, 3, 
## 2, 2, 3, 5, 3, 3, 3, 4, 2, 4, 6, 3, 3, 2, 1, 3, 4, 6, 2, 2, 3, 
## 3, 3, 3, 3, 4, 1, 5, 2, 1, 2, 5, 4, 3, 4, 5, 3, 4, 0, 1, 2, 4, 
## 4, 5, 1, 3, 4, 4, 5, 5, 4, 1, 3, 4, 4, 3, 4, 3, 4, 8, 5, 7, 6, 
## 2, 4, 4, 3, 4, 5, 2, 4, 4, 1, 2, 4, 5, 2, 3, 2, 4, 3, 4, 4, 4, 
## 3, 4, 4, 3, 7, 2, 2, 4, 3, 5, 3, 4, 5, 6, 3, 7, 2, 3, 4, 4, 2, 
## 4, 4, 4, 2, 2, 3, 4, 3, 3, 4, 3, 3, 3, 2, 5, 0, 2, 4, 4, 3, 2, 
## 3, 71, 70, 68, 68, 68, 68, 72, 71, 69, 70, 70, 71, 75, 68, 68, 
## 71, 74, 71, 66, 72, 72, 71, 72, 75, 68, 72, 69, 71, 67, 72, 71, 
## 71, 72, 71, 67, 67, 69, 68, 70, 70, 70, 68, 68, 72, 73, 72, 70, 
## 71, 68, 69, 71, 71, 68, 68, 72, 72, 68, 75, 73, 70, 69, 71, 73, 
## 71, 69, 71, 70, 69, 68, 69, 72, 69, 70, 70, 70, 68, 73, 71, 71, 
## 67, 66, 69, 72, 69, 71, 73, 67, 68, 71, 68, 68, 69, 71, 70, 71, 
## 70, 72, 73, 67, 70, 71, 69, 68, 69, 71, 70, 71, 71, 68, 69, 68, 
## 70, 4, 1, 7, 7, 2, 1, 9, 5, 7, 3, 0, 0, 2, 5, 4, 3, 3, 2, 3, 
## 5, 1, 3, 1, 1, 3, 3, 3, 5, 6, 5, 3, 72, 69, 68, 70, 70, 70, 69, 
## 68, 67, 70, 70, 68, 68, 72, 70, 67, 70, 71, 72, 70, 70, 73, 70, 
## 67, 67, 70, 74, 74, 69, 68, 71, 70, 69, 70, 70, 68, 71, 73, 73, 
## 70, 71, 71, 71, 72, 66, 70, 72, 73, 69, 69, 66, 70, 71, 69, 69, 
## 69, 70, 72, 69, 72, 67, 68, 71, 73, 69, 65, 68, 71, 70, 73, 72, 
## 71, 69, 66, 66, 70, 78, 72, 70, 70, 71, 69, 67, 74, 72, 70, 71, 
## 68, 74, 68, 72, 72, 70, 68, 65, 67, 72, 69, 68, 67, 65, 66, 72, 
## 72, 70, 70, 69, 72, 77, 74, 72, 61, 65, 69, 76, 69, 75, 76, 72, 
## 69, 69, 71, 70, 68, 71, 72, 70, 70, 71, 68, 67, 72, 72, 73, 73, 
## 69, 76, 74, 66, 74, 72, 70, 75, 73, 69, 69, 69, 67, 70, 71, 71, 
## 70, 67, 68, 73, 72, 70, 68, 73, 69, 68, 68, 69, 70, 74, 75, 72, 
## 69, 70, 70, 68, 74, 71, 73, 70, 72, 65, 65, 69, 72, 76, 63, 63, 
## 74, 67, 73, 71, 70, 74, 71, 70, 67, 69, 70, 72, 72, 72, 70, 70, 
## 68, 69, 71, 69, 71, 71, 73, 70, 68, 69, 69, 69, 70, 69, 70, 71, 
## 74, 67, 67, 76, 73, 73, 70, 74, 72, 70, 71, 71, 73, 73, 72, 78, 
## 68, 65, 68, 65, 67, 68, 71, 72, 69, 68, 75, 72, 68, 74, 68, 66, 
## 71, 78, 74, 69, 70, 67, 67, 70, 71, 73, 65, 72, 77, 66, 73, 69, 
## 71, 68, 71, 73, 69, 69, 71, 69, 69, 71, 70, 70, 74, 70, 71, 70, 
## 70, 71, 69, 67, 67, 66, 72, 75, 77, 74, 71, 68, 72, 67, 64, 66, 
## 71, 74, 74, 70, 73, 67, 69, 74, 70, 68, 76, 68, 69, 66, 67, 72, 
## 76, 69, 71, 73, 67, 68, 72, 70, 71, 71, 69, 71, 71, 71, 70, 69, 
## 69, 75, 69, 68, 71, 70, 71, 73, 71, 70, 70, 74, 71, 71, 71, 69, 
## 70, 69, 70, 74, 73, 70, 66, 72, 62, 65, 67, 70, 68, 66, 65, 72, 
## 75, 73, 71, 68, 67, 70, 66, 67, 76, 71, 74, 72, 68, 74, 77, 73, 
## 74, 74, 69, 68, 68, 72, 60, 71, 73, 71, 68, 69, 71, 69, 69, 72, 
## 72, 71, 69, 69, 72, 72, 70, 70, 70, 70, 71, 73, 72, 68, 69, 66, 
## 67, 75, 70, 71, 71, 69, 67, 72, 74, 71, 72, 72, 71, 75, 74, 67, 
## 67, 73, 68, 68, 72, 67, 72, 72, 64, 69, 68, 71, 75, 67, 68, 73, 
## 70, 74, 3, 4, 1, 4, 2, 3, 6, 4, 3, 3, 3, 5, 6, 5, 2, 4, 4, 0, 
## 2, 3, 5, 8, 6, 5, 1, 1, 2, 1, 3, 2, 4, 4, 2, 4, 1, 9, 3, 5, 8, 
## 2, 7, 1, 2, 3, 4, 3, 3, 4, 3, 5, 3, 5, 2, 1, 2, 5, 7, 3, 3, 8, 
## 5, 3, 2, 3, 3, 0, 4, 4, 2, 3, 2, 2, 6, 5, 2, 2, 3, 1, 3, 2, 6, 
## 4, 4, 3, 4, 4, 1, 2, 9, 7, 4, 3, 3, 1, 2, 0, 4, 9, 7, 5, 4, 1, 
## 3, 1, 1, 1, 2, 5, 4, 4, 6, 4, 3, 7, 4, 3, 2, 2, 0, 5, 1, 2, 1, 
## 3, 1, 4, 3, 9, 7, 2, 2, 6, 4, 3, 3, 4, 4, 3, 3, 2, 3, 3, -1, 
## -2, 1, 4, 1, 6, 5, 5, 2, 1, 2, 5, 0, 2, 2, 4, 6, 5, 3, 3, 5, 
## 1, 6, 6, 3, 2, 4, 4, 4, 4, 5, 4, 6, 3, 3, 1, 1, 0, 2, 4, 3, 3, 
## 1, 4, 4, 2, 2, 3, 3, 1, 2, 3, 3, 3, 4, 2, 4, 3, 6, 5, 6, 3, 3, 
## 2, 4, 3, 2, 2, 1, 4, 6, 3, 1, 7, -1, 4, 3, 3, 0, 2, 3, 4, 5, 
## 5, 7, 4, 1, 1, 2, 3, 2, 3, 2, 4, 4, 4, 2, 1, 3, 4, 3, 3, 3, 6, 
## 6, 6, 6, 4, 1, 5, 4, 3, 4, 2, 1, 4, 5, 1, 0, 3, 2, 1, 5, 7, 5, 
## 3, 3, -1, 1, 1, 5, 2, 4, 5, 9, 3, 4, 7, 4, 6, 1, 1, 6, 2, 2, 
## 2, 2, 4, 3, 0, 3, 1, 1, 4, 5, 6, 5, 2, 4, 7, 6, 1, 3, 4, 4, 0, 
## 3, 4, 5, 6, 4, 1, 0, 2, 5, 5, 3, 6, 3, 2, 5, 7, 5, 5, 3, 1, 7, 
## 0, 4, 3, 4, 7, 6, 2, 2, 0, 6, 0, 1, 5, 8, 9, 6, 2, 2, 4, 5, 5, 
## 2, 2, 1, 4, -1, 1, 0, 8, 7, 0, 0, 3, 7, 5, 5, 7, 5, -1, 4, 4, 
## 4, 3, 4, 1, 3, 1, 2, 3, 2, 3, 4, 5, 5, 6, 4, 4, 2, 2, 1, 1, 0, 
## 5, 3, 1, 2, 0, 5, 5, 1, -1, 1, 3, 5, 4, 2, 1, 3, 7, 5, 5, 4, 
## 6, 5, 4, 1, 4, 4, 7, 0, 1, 0, 1, 2, 4, 2, 4, 5, 1, 2, 2, 1, 2, 
## 3, 3, 2, 2, 5, 3, 2, 4, 6, 3, 1, 2, 3, 5, 5, 6, 4, 3, 4, 5, 3, 
## 4, 2, 1, 5, 5, 1, 4, 5, 5, 0, 6, 4, 4, 3, 4, 4, 7, 5, 1, 5, 2, 
## 2, 2, 0, 4, 7, 5, 8, 5, 3, 6, 3, -1, 4, 6, 5, 4, 2, 4, 2, 4, 
## 5, 4, 4, 4, 5, 4, 2, 2, 3, 3, 1, 4, 5, 2, 4, 6, 7, 2, -1, 1, 
## 4, 4, 4, 2, 4, 4, 6, 4, 4, 2, 2, 1, 2, 2, 3, 4, 7, 6, 4, 2, 0, 
## 3, 1, 1, 3, 4, 6, 4, 3, 2, 6, 4, 5, 4, 4, 4, 2, 3, 0, -1, 5, 
## 3, 4, 5, 3, 3, 5, 3, 3, 3, -2, 9, 7, 1, 1, 5, 7, 6, 7, 6, 6, 
## 1, 2, 2, 2, 4, 3, 4, 2, 6, 1, 4, 5, 2, 3, 6, 1, 2, 5, 2, 3, 3, 
## 2, 3, 1, 5, 5, 2, 4, 3, 5, 5, 5, 3, 4, 5, 6, 3, 4, 5, 4, 6, 3, 
## 6, 4, 1, 4, 4, 4, 2, 6, 3, 6, 3, 2, 2, 4, 4, 6, 5, 3, 2, 5, 4, 
## 2, 6, 3, 2, 4, 6, 3, 4, 6, 3, 3, 4, 4, 4, 6, 4, 0, 3, 6, 4, 4, 
## 5, 3, 6, 3, 3, 2, 5, 3, 4, 7, 5, 4, 2, 5, 2, 2, 2, 3, 4, 3, 3, 
## 4, 4, 4, 3, 1, 3, 5, 4, 3, 4, 3, 2, 4, 6, 3, 3, 5, 7, 4, 3, 0, 
## 4, 3, 4, 4, 4, 3, 3, 2, 2, 2, 2, 1, 3, 6, 3, 7, 5, 2, 5, 4, 4, 
## 4, 4, 2, 3, 3, 7, 2, 5, 5, 5, 4, 5, 1, 2, 1, 2, 4, 3, 2, 2, 5, 
## 3, 4, 4, 3, 4, 5, 4, 2, 2, 5, 3, 2, 3, 1, 3, 3, 4, 3, 1, 3, 4, 
## 4, 2, 1, 4, 6, 6, 2, 0, 2, 4, 2, 5, 4, 2, 4, 2, 4, 2, 2, 0, 7, 
## 5, 5, 0, 5, 7, 3, 1, 5, 8, 5, 1, 1, 3, 3, 4, 3, 5, 5, 4, 4, 3, 
## 1, 3, 3, 1, 5, 7, 5, 2, 4, 6, 5, 5, 5, 6, 2, -11, 6, 17, 10, 
## 7, 7, 4, 0, 7, 0, 1, 2, 2, 3, 3, 1, 4, 5, 2, 4, 6, 5, 3, 1, 3, 
## 4, 3, 2, 3, 1, 2, 2, 6, 7, 2, 5, 3, 3, 6, 1, 3, 4, 5, 4, 4, 6, 
## 3, 3, 3, 5, 5, 4, 5, 3, 5, 3, 2, 1, 2, 3, 5, 5, 3, 5, 2, 5, 3, 
## 3, 3, 5, 3, 3, 3, 4, 4, 6, 4, 1, 1, 3, 2, 3, 5, 5, 1, 3, 5, 0, 
## 2, 4, -1, 4, 1, 6, 5, 3, 9, 3, -1, 8, 3, 2, 5, 5, 2, 2, 2, 3, 
## 1, 1, 8, 6, 2, 0, 2, 6, 5, 2, 1, 3, 6, 3, 3, 4, 4, 2, 1, 1, 2, 
## -5, 2, 4, 1, 2, 3, 0, -1, -4, 1, 5, 5, 6, 6, 0, 5, -3, 5, 4, 
## 2, 4, -1, 11, 9, 7, 2, 7, 4, 2, 2, 2, 6, 5, 1, -4, 0, 4, -1, 
## 0, 1, 2, 5, 2, 6, 0, 4, 6, 1, 5, 4, 3, 2, 2, 2, -1, -1, -2, 5, 
## 2, 1, 0, 0, 6, 4, 6, 5, -5, 1, 8, 8, 5, 1, -1, 4, -3, -1, -2, 
## -1, 3, -1, 7, 4, -1, 1, 8, 9, 5, 3, -2, -2, -1, 2, 0, 6, -1, 
## 1, -1, -1, 0, -1, 2, 3, 0, 3, 4, 6, 3, 0, 8, 4, 2, 4, 5, 2, 1, 
## 0, 1, 0, 7, 1, 2, 0, -1, 5, 3, 7, 4, 4, 4, 3, 4, 7, 7, 6, 2, 
## 1, 0, -2, -2, 1, -1, 0, 3, 3, 0, 4, 3, 5, 5, 3, 3, 4, 8, 6, 0, 
## -2, -1, 4, 1, 5, 6, 2, 2, -1, 4, 6, -1, 5, 7, 6, 6, 2, -1, 0, 
## 4, 2, 0, 3, -3, 5, -2, 3, 6, -1, 6, 3, 2, 0, 1, 6, 6, 6, 1, 2, 
## 0, 1, 0, 1, 4, 6, 6, 2, 5, 1, -1, 0, 2, 0, 7, -1, -2, 5, 5, 4, 
## 0, 10, 2, -1, 4, 3, 3, 3, 0, 4, 6, -1, -5, -3, 2, 4, 1, 6, 7, 
## 6, 2, 2, 5, 1, 5, -2, 0, 2, 2, 3, -1, 2, 3, 5, 4, -1, 0, 3, 6, 
## 7, -7, -3, -1, 7, 8, 7, 2, 7, 3, -5, 4, 7, 2, -2, -2, -2, 5, 
## 5, 0, 1, 3, 2, -1, 8, 4, 4, 2, -2, 4, 6, 6, 4, -2, 3, 2, 2, 1, 
## 0, 7, 4, 3, 0, 1, 3, 4, 3, 8, 3, 4, 8, 0, 1, 1, 3, 1, 3, 3, -1, 
## -1, 4, 5, 4, -1, 3, 1, 3, 3, 2, 2, 4, -1, 8, 7, 1, -6, -4, 2, 
## 3, 0, 1, 42, 43, 40, 42, 45, 41, 43, 43, 49, 50, 43, 46, 45, 
## 43, 44, 44, 41, 43, 42, 42, 44, 46, 47, 43, 46, 44, 49, 43, 46, 
## 41, 43, 47, 46, 44, 42, 42, 44, 43, 43, 43, 41, 43, 45, 43, 44, 
## 44, 46, 47, 45, 47, 43, 42, 43, 40, 43, 44, 43, 43, 41, 43, 41, 
## 43, 42, 43, 43, 45, 45, 44, 44, 43, 44, 42, 44, 43, 43, 43, 44, 
## 46, 43, 45, 47, 43, 45, 44, 42, 41, 46, 43, 41, 44, 43, 42, 41, 
## 44, 42, 42, 41, 40, 40, 42, 44, 44, 41, 42, 42, 45, 44, 44, 39, 
## 42, 40, 42, 44, 45, 43, 46, 47, 43, 43, 43, 43, 45, 44, 43, 42, 
## 43, 43, 43, 42, 43, 45, 44, 44, 43, 44, 44, 44, 45, 45, 44, 45, 
## 44, 43, 40, 43, 44, 45, 44, 43, 41, 42, 44, 41, 40, 43, 43, 44, 
## 41, 45, 46, 43, 44, 44, 44, 47, 45, 41, 43, 43, 44, 44, 42, 42, 
## 42, 43, 46, 46, 44, 42, 41, 45, 44, 43, 43, 41, 41, 46, 44, 44, 
## 43, 44, 44, 43, 41, 43, 43, 43, 42, 44, 45, 44, 45, 42, 44, 45, 
## 46, 42, 48, 46, 41, 43, 43, 43, 42, 44, 43, 46, 44, 43, 41, 43, 
## 45, 44, 44, 45, 44, 45, 42, 44, 43, 44, 45, 44, 42, 44, 46, 46, 
## 45, 43, 41, 39, 48, 45, 45, 46, 43, 41, 43, 43, 42, 43, 42, 41, 
## 47, 45, 44, 44, 43, 40, 43, 45, 45, 44, 43, 44, 43, 45, 44, 42, 
## 43, 43, 44, 45, 44, 42, 43, 45, 46, 45, 42, 43, 44, 43, 43, 45, 
## 48, 47, 40, 44, 43, 45, 42, 48, 41, 41, 44, 42, 43, 45, 45, 44, 
## 43, 44, 44, 42, 43, 43, 42, 44, 43, 44, 43, 44, 43, 43, 44, 42, 
## 42, 44, 43, 43, 43, 43, 45, 44, 46, 44, 42, 44, 43, 42, 43, 42, 
## 43, 42, 43, 46, 44, 42, 43, 43, 44, 44, 46, 45, 42, 45, 42, 44, 
## 43, 45, 46, 42, 42, 44, 41, 45, 43, 40, 45, 45, 44, 43, 43, 44, 
## 42, 43, 45, 44, 41, 42, 41, 42, 44, 47, 47, 47, 46, 48, 44, 44, 
## 44, 45, 43, 41, 39, 41, 41, 42, 43, 43, 43, 42, 44, 41, 43, 42, 
## 45, 44, 43, 45, 43, 41, 40, 40, 43, 44, 43, 44, 46, 50, 50, 51, 
## 50, 44, 42, 39, 37, 43, 42, 40, 43, 42, 42, 37, 38, 44, 43, 41, 
## 43, 43, 43, 42, 46, 45, 44, 42, 40, 40, 45, 44, 44, 43, 43, 44, 
## 43, 44, 43, 43, 43, 43, 43, 43, 46, 47, 47, 47, 41, 41, 50, 46, 
## 46, 56, 51, 46, 51, 58, 57, 53, 53, 46, 44, 54, 54, 59, 54, 42, 
## 45, 38, 44, 34, 34, 30, 44, 42, 44, 47, 30, 42, 41, 40, 52, 47, 
## 43, 43, 43, 43, 46, 48, 43, 41, 40, 39, 45, 52, 50, 47, 46, 46, 
## 47, 44, 46, 43, 42, 40, 39, 41, 45, 41, 45, 42, 43, 41, 43, 41, 
## 44, 44, 46, 44, 44, 43, 44, 43, 46, 46, 43, 43, 43, 44, 45, 43, 
## 41, 43, 40, 44, 44, 49, 45, 48, 42, 42, 44, 44, 43, 43, 43, 44, 
## 42, 42, 41, 41, 42, 44, 46, 46, 45, 45, 44, 45, 40, 43, 44, 46, 
## 43, 41, 43, 41, 41, 41, 44, 42, 44, 46, 45, 44, 43, 46, 45, 45, 
## 42, 43, 42, 42, 42, 46, 42, 45, 42, 42, 44, 44, 45, 42, 42, 43, 
## 42, 45, 46, 47, 45, 42, 44, 44, 46, 46, 44, 44, 45, 42, 41, 42, 
## 46, 44, 43, 47, 49, 40, 42, 46, 44, 44, 46, 46, 42, 44, 47, 40, 
## 40, 43, 44, 45, 44, 42, 46, 45, 45, 43, 46, 42, 42, 40, 42, 38, 
## 42, 41, 46, 45, 48, 52, 47, 42, 48, 46, 45, 46, 44, 43, 40, 41, 
## 40, 42, 40, 40, 42, 44, 44, 64, 63, 63, 63, 61, 63, 65, 63, 62, 
## 61, 62, 61, 62, 64, 67, 63, 62, 62, 60, 62, 62, 62, 62, 65, 67, 
## 57, 59, 64, 61, 67, 63, 62, 67, 65, 64, 63, 64, 63, 60, 61, 62, 
## 59, 64, 65, 63, 62, 62, 62, 64, 66, 64, 57, 60, 61, 60, 63, 60, 
## 61, 64, 65, 64, 65, 62, 61, 63, 63, 62, 65, 60, 61, 62, 62, 63, 
## 62, 62, 64, 64, 63, 63, 63, 63, 62, 63, 62, 62, 62, 62, 64, 61, 
## 63, 63, 63, 63, 64, 65, 61, 62, 62, 65, 64, 61, 61, 65, 61, 60, 
## 63, 62, 62, 62, 64, 65, 65, 67, 61, 62, 67, 62, 58, 63, 65, 63, 
## 61, 63, 61, 61, 61, 63, 62, 62, 61, 61, 61, 66, 68, 62, 61, 63, 
## 64, 61, 62, 62, 62, 63, 63, 64, 63, 62, 61, 62, 63, 62, 61, 63, 
## 63, 62, 63, 61, 62, 63, 61, 62, 63, 61, 61, 64, 64, 65, 62, 56, 
## 58, 62, 64, 61, 63, 62, 63, 62, 62, 64, 64, 64, 64, 64, 64, 62, 
## 62, 65, 63, 64, 64, 64, 61, 63, 62, 60, 60, 64, 62, 63, 63, 61, 
## 60, 61, 62, 63, 64, 63, 63, 63, 62, 60, 61, 62, 62, 62, 61, 61, 
## 64, 61, 59, 62, 61, 62, 62, 62, 61, 63, 63, 64, 62, 66, 59, 63, 
## 60, 61, 59, 64, 66, 64, 64, 62, 62, 62, 64, 65, 61, 61, 60, 61, 
## 63, 64, 64, 63, 63, 62, 63, 63, 62, 62, 62, 62, 62, 63, 63, 63, 
## 61, 62, 63, 64, 62, 61, 62, 67, 63, 61, 63, 62, 63, 63, 63, 66, 
## 63, 62, 61, 64, 64, 62, 62, 63, 64, 63, 63, 63, 58, 61, 62, 61, 
## 63, 61, 61, 62, 61, 61, 61, 61, 60, 64, 64, 62, 62, 64, 65, 65, 
## 63, 62, 62, 61, 62, 62, 63, 62, 62, 61, 63, 62, 62, 63, 62, 62, 
## 62, 62, 63, 63, 62, 62, 61, 60, 61, 62, 63, 63, 63, 64, 66, 65, 
## 62, 61, 63, 62, 63, 65, 66, 62, 63, 62, 61, 62, 62, 63, 65, 65, 
## 62, 61, 69, 61, 62, 58, 58, 63, 63, 62, 61, 62, 61, 60, 65, 62, 
## 60, 64, 61, 60, 64, 63, 61, 62, 62, 62, 62, 64, 64, 64, 63, 63, 
## 61, 59, 63, 62, 60, 63, 65, 64, 62, 62, 63, 62, 60, 62, 66, 66, 
## 66, 66, 64, 62, 61, 60, 61, 60, 59, 61, 63, 63, 62, 63, 63, 61, 
## 62, 63, 64, 62, 61, 58, 61, 63, 62, 61, 61, 59, 59, 64, 67, 67, 
## 62, 60, 57, 63, 65, 61, 62, 62, 61, 61, 63, 63, 62, 63, 65, 64, 
## 63, 62, 63, 62, 60, 61, 62, 63, 62, 63, 64, 63, 63, 62, 61, 61, 
## 62, 62, 60, 37, 65, 72, 59, 58, 64, 64, 62, 60, 62, 59, 62, 63, 
## 62, 63, 64, 65, 60, 59, 61, 64, 61, 61, 64, 61, 60, 63, 64, 61, 
## 63, 62, 62, 61, 61, 61, 62, 63, 62, 62, 59, 59, 61, 65, 63, 62, 
## 64, 64, 63, 62, 61, 60, 63, 60, 61, 62, 63, 64, 62, 63, 61, 64, 
## 64, 62, 64, 62, 65, 62, 63, 64, 63, 61, 61, 61, 64, 62, 62, 62, 
## 59, 61, 61, 57, 61, 63, 64, 60, 64, 65, 65, 65, 64, 61, 60, 61, 
## 64, 61, 60, 61, 63, 59, 63, 62, 61, 61, 61, 62, 65, 64, 62, 61, 
## 62, 63, 63, 62, 61, 61, 63, 62, 61, 63, 63, 63, 61, 62, 62, 61, 
## 61, 65, 60, 62, 62, 62, 61, 63, 62, 65, 65, 62, 62, 62, 63, 60, 
## 50, 63, 71, 61, 60, 61, 64, 64, 65, 63, 60, 61, 58, 59, 63, 63, 
## 62, 61, 61, 64, 44, 43, 43, 44, 45, 42, 42, 44, 45, 45, 45, 44, 
## 44, 43, 47, 44, 43, 46, 45, 43, 44, 44, 43, 44, 43, 43, 42, 42, 
## 43, 42, 42, 45, 43, 44, 41, 42, 41, 47, 46, 46, 43, 45, 43, 47, 
## 47, 46, 41, 43, 45, 45, 44, 44, 44, 43, 44, 44, 42, 42, 42, 44, 
## 44, 44, 46, 43, 46, 43, 42, 44, 45, 45, 44, 39, 47, 48, 46, 44, 
## 42, 42, 45, 45, 42, 41, 46, 44, 48, 47, 45, 45, 42, 41, 40, 43, 
## 44, 42, 48, 43, 43, 43, 45, 44, 65, 61, 61, 63, 64, 65, 65, 64, 
## 64, 61, 62, 61, 62, 61, 63, 62, 60, 61, 60, 62, 65, 62, 61, 64, 
## 63, 63, 63, 61, 61, 60, 62, 64, 62, 61, 63, 61, 61, 61, 63, 63, 
## 66, 66, 64, 63, 65, 63, 64, 62, 64, 62, 63, 64, 62, 62, 65, 61, 
## 62, 64, 64, 65, 63, 63, 63, 66, 65, 65, 64, 64, 62, 60, 63, 65, 
## 64, 61, 62, 61, 61, 61, 62, 62, 62, 60, 61, 62, 63, 62, 61, 65, 
## 63, 63, 62, 64, 65, 64, 64, 60, 60, 64, 64, 62, 64, 62, 64, 63, 
## 63, 63, 65, 61, 3, 3, 2, 2, 1, 3, 2, -1, 0, 0, 2, 7, -1, 4, 1, 
## 1, 3, 4, 1, 4, 0, 3, 5, 1, 1, 3, 2, 1, 4, 5, 1, -2, -3, -2, 3, 
## 4, -3, -4, 1, 5, 7, 4, 1, 1, 0, 1, 4, 3, 3, 3, 3, 1, -1, -2, 
## -1, -2, -1, 1, 8, 6, 1, 4, 6, 5, 2, -3, 2, 10, 3, -1, 1, 11, 
## -5, -4, 0, 0, 1, 5, 3, -1, 1, -1, 0, -2, 5, 1, 3, 8, 8, 1, 0, 
## 4, 4, 2, 3, 6, 4, 2, 1, 5, 5, 3, 0, -3, -1, 14, 13, 5, -3, -3, 
## 2, 1, 3, -1, 1, 0, -1, 3, 1, 1, 4, 7, -2, 4, 4, 4, 5, 4, 3, 1, 
## 1, 1, 1, 2, 4, 1, 9, 11, 9, 4, 3, 7, 4, 3, 4, 3, 3, 2, 5, 1, 
## 2, 5, 3, 1, 7, 7, 4, 3, 5, 6, -1, 9, 4, 4, 5, 6, 4, 1, 2, 1, 
## 0, 1, 3, 2, 4, 2, 6, 3, 1, 3, 6, 6, 1, 3, 3, 2, 2, 4, 1, 1, 7, 
## 8, 7, 4, 3, 4, -1, -2, 3, 6, 5, 4, 2, 2, 3, 0, 5, 5, 2, 3, 6, 
## 5, 3, 1, 0, 3, 3, 4, 3, 3, 3, 3, 2, 4, 2, 1, 4, 6, 3, 2, 3, 3, 
## 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 5, 6, 2, 4, 6, 6, 4, 4, 1, 4, 4, 
## 2, 3, 5, 2, 2, 5, 2, 4, 5, 5, 5, 4, 4, 1, 1, 3, 2, 2, 3, 69, 
## 69, 69, 69, 70, 67, 70, 71, 72, 71, 71, 69, 69, 67, 67, 70, 72, 
## 76, 75, 69, 68, 70, 68, 70, 71, 70, 71, 71, 72, 68, 69, 70, 72, 
## 71, 71, 69, 69, 68, 73, 71, 69, 69, 72, 71, 69, 72, 72, 71, 70, 
## 69, 75, 70, 68, 71, 69, 67, 70, 77, 74, 67, 73, 69, 72, 62, 5, 
## 4, 4, 3, 2, 2, 0, 0, 5, 4, 4, 4, 2, 3, 1, 3, 5, 4, 2, 1, -1, 
## 4, 6, 4, 6, 7, 6, 4, -1, 3, 6, 2, 1, 0, 3, 4, 5, 4, 2, 2, 3, 
## -1, 3, 3, 5, 7, 7, 6, 4, 3, 3, 5, 3, 1, 0, 3, 4, 4, 8, 2, 2, 
## 4, 3, 1, 5, 1, 1, 2, 6, 5, 0, 4, 7, 0, 2, 3, 4, 0, 5, 4, 5, 5, 
## 6, 4, 6, 1, 5, 6, 2, 3, 4, 4, 5, 4, 7, 5, 4, 2, 4, 3, 4, 3, 5, 
## 3, 4, 0, 0, 4, 6, 4, 5, 5, 1, 2, 5, 5, 5, 5, 3, 3, 2, 5, 6, 3, 
## 4, 2, 2, 5, 6, 5, 7, 4, 5, 4, 2, 4, 2, 3, 6, 5, 5, 5, 2, 3, 3, 
## 2, 2, 5, 3, 3, 3, 7, 1, 2, 4, 4, 3, 3, 4, 5, 3, 4, 6, 5, 5, 5, 
## 2, 1, 1, 2, 7, 3, 6, 3, 3, 4, 4, 4, 3, 8, 2, 4, 2, 3, 6, 6, 4, 
## 4, 3, 3, 3, 2, 4, 1, 3, 5, 5, 5, 4, 3, 5, 4, 4, 3, 4, 3, 2, 2, 
## 5, 6, 1, 6, 1, 4, 4, 68, 74, 72, 74, 71, 68, 68, 74, 71, 73, 
## 66, 69, 72, 69, 68, 69, 70, 69, 70, 70, 70, 73, 71, 71, 70, 68, 
## 67, 68, 69, 71, 73, 70, 72, 72, 69, 70, 71, 71, 67, 74, 72, 74, 
## 65, 74, 70, 69, 70, 72, 71, 71, 72, 72, 70, 73, 69, 70, 69, 69, 
## 70, 71, 72, 72, 71, 70, 70, 73, 73, 68, 73, 74, 71, 69, 68, 72, 
## 69, 71, 73, 69, 70, 70, 75, 72, 68, 75, 71, 73, 69, 70, 69, 70, 
## 69, 68, 69, 74, 72, 67, 77, 76, 71, 66, 71, 67, 67, 71, 68, 73, 
## 68, 70, 70, 70, 69, 71, 69, 69, 71, 69, 69, 70, 70, 69, 71, 72, 
## 69, 66, 69, 70, 71, 70, 70, 71, 72, 71, 71, 71, 68, 69, 71, 70, 
## 69, 67, 68, 72, 70, 71, 71, 69, 70, 74, 71, 68, 74, 72, 69, 69, 
## 68, 71, 69, 69, 71, 71, 69, 69, 70, 69, 70, 71, 72, 70, 68, 69, 
## 73, 71, 70, 72, 72, 69, 69, 71, 68, 72, 68, 78, 73, 68, 73, 69, 
## 70, 71, 71, 70, 71, 68, 71, 69, 70, 73, 72, 69, 70, 72, 73, 70, 
## 73, 70, 68, 71, 73, 71, 70, 70, 71, 69, 71, 72, 72, 72, 69, 70, 
## 68, 69, 67, 68, 71, 70, 68, 70, 71, 70, 69, 72, 70, 71, 72, 69, 
## 66, 69, 74, 69, 70, 69, 71, 69, 71, 68, 72, 72, 71, 71, 72, 68, 
## 67, 69, 69, 71, 71, 71, 70, 72, 69, 70, 71, 71, 71, 72, 69, 69, 
## 69, 70, 70, 69, 70, 70, 68, 71, 71, 71, 71, 70, 69, 72, 71, 72, 
## 70, 69, 73, 72, 71, 70, 71, 70, 71, 70, 70, 72, 71, 71, 70, 69, 
## 71, 67, 67, 70, 70, 69, 68, 69, 67, 72, 71, 71, 67, 72, 69, 71, 
## 70, 70, 69, 71, 74, 71, 68, 68, 70, 72, 71, 69, 70, 69, 72, 70, 
## 70, 71, 69, 71, 72, 69, 69, 70, 71, 69, 68, 72, 72, 71, 72, 70, 
## 72, 71, 70, 69, 74, 70, 69, 67, 64, 70, 73, 70, 70, 72, 71, 69, 
## 70, 71, 71, 71, 68, 67, 69, 72, 73, 71, 70, 69, 70, 69, 68, 70, 
## 71, 71, 71, 71, 2, 5, 5, 4, 3, 4, 1, 7, 7, 2, 3, -3, 0, 5, 6, 
## 0, 5, 5, 2, 1, 5, 7, 2, 6, 1, 1, 5, 2, 3, 6, 6, 0, 0, 5, 5, 5, 
## 1, 2, 2, 3, 4, 4, 5, 5, 2, 4, 4, 2, 2, 4, 4, 2, 3, 4, 4, 6, 5, 
## 5, 5, 6, 2, 1, 2, 3, 6, 4, 3, 4, 3, 2, 3, 1, 1, 7, 2, 3, 3, 4, 
## 5, 3, 5, 6, 3, 4, 2, 1, 1, 4, 3, 4, 3, 2, 4, 1, 3, 4, 2, 3, 5, 
## 5, 3, 7, 4, 3, 4, 4, 5, 4, 6, 4, -1, 1, 4, 3, 2, 3, 3, 2, 3, 
## 3, 4, 4, 4, 3, 6, 6, 4, 3, 4, 3, 2, 7, 1, 4, -1, -3, 3, 8, 4, 
## 4, 2, 3, 2, 3, 2, 3, 1, 3, 4, 6, 3, 3, 2, 6, 6, 1, 4, 4, 4, 4, 
## 7, 3, 1, 0, 2, 1, 4, 3, 4, 2, 2, 5, 5, 1, 1, 3, 4, 3, 7, 4, 4, 
## 4, 4, 4, 6, 3, 0, 2, 3, 3, 4, 4, 5, 2, 3, 4, 6, 5, 6, 5, 3, 1, 
## 3, 4, 3, 4, 3, 5, 6, 5, 3, 4, 4, 4, 4, 0, 3, 3, 3, 3, 7, 1, 3, 
## 4, 3, 5, 3, 4, 5, 3, 1, 2, 2, 3, 3, 2, 2, 2, 5, 4, 5, 4, 3, 5, 
## 5, 4, 2, 5, 3, 4, 3, 1, 2, 2, 3, 2, 5, 3, 3, 3, 4, 4, 2, 6, 4, 
## 1, 6, 5, 4, 2, 3, 1, 4, 4, 3, 3, 0, 4, 1, 3, 5, 3, 3, 2, 5, 3, 
## 2, 5, 5, 7, 5, 3, 2, 3, 2, 4, 0, 2, 4, 2, 2, 5, 4, 2, 5, 1, 1, 
## 1, 3, 6, 9, 4, 1, 4, 6, 4, 4, 2, -1, 2, 4, 1, 3, 3, 3, 1, 2, 
## 3, 4, 4, 6, 3, 1, 4, 4, 2, 5, 6, 4, 0, -1, 2, 2, 1, 3, 2, 4, 
## 1, 1, 3, 4, 4, 2, 2, 3, 4, 3, 2, 6, 7, 2, 4, 2, 1, 2, 4, 1, 3, 
## 3, 5, 3, 2, 2, 4, 4, 6, 4, 0, 3, 1, 4, 2, 3, 4, 2, 3, 4, 3, 0, 
## 1, 0, 4, 7, 2, 5, 3, 2, 3, 5, 4, 2, 2, 5, 4, 4, 4, 3, 2, 2, 2, 
## 3, 5, 2, 3, 2, 4, 6, 3, 4, 3, 5, 6, 0, 2, 5, 4, 4, 2, 4, 3, 2, 
## 3, 4, 2, 3, 3, 2, 7, 2, 9, 0, 2, 8, 4, 5, 3, 3, 4, 4, 1, 5, 7, 
## 5, 4, 5, 3, 0, 2, 3, 6, 0, 1, 4, 5, 6, 2, 4, 6, 1, 2, 3, 4, 5, 
## 2, 3, 2, 1, 4, 2, 3, 5, 5, 5, 3, 2, 2, 4, 3, -1, 3, 4, 4, 4, 
## 5, 4, 1, 4, 3, 5, 0, 5, 5, 0, 5, 1, 6, 10, 2, 5, 1, 1, 5, 2, 
## 1, 1, 5, 6, 3, 3, 3, 3, 3, 5, 4, 3, 2, 3, 5, 3, 5, 4, 5, 3, 2, 
## 1, 4, 2, 3, 2, 4, 5, 4, 4, 3, 3, 3, 2, 6, 3, 2, 2, 5, 2, 2, 3, 
## 3, 5, 5, 4, 6, 5, 1, 3, 2, 4, 3, 2, 5, 3, 3, 5, 3, 3, 2, 6, 7, 
## 5, 4, 4, 2, 3, 2, 4, 3, 2, 5, 5, 3, 3, 4, 5, 6, 2, 5, 4, 5, 4, 
## 2, 3, 2, 2, 3, 2, 4, 5, 4, 4, 2, 3, 3, 6, 3, 3, 3, 2, 2, 3, 0, 
## 4, 6, 4, 9, 3, 6, 4, 0, 6, 1, 3, 3, 5, 8, 6, 3, -1, 1, 2, 3, 
## 7, 3, 3, 2, 3, 3, 5, 4, 2, 3, 5, 3, 5, 6, 4, 4, 3, 0, 0, 3, 3, 
## 2, 2, 7, 2, 2, 4, 4, 4, 4, 3, 2, 4, 4, 2, 2, 3, 2, 2, 2, 6, 4, 
## 2, 4, 4, 2, 2, 2, 4, 4, 3, 1, 2, -1, 3, 5, 5, 1, 6, 8, 1, 4, 
## 4, -1, 6, 2, 2, 1, 5, 5, 4, 4, 6, 5, 3, 5, 5, 5, 2, 5, 3, 1, 
## 2, 2, 6, 4, 4, 3, 5, 0, 1, 2, 4, 3, 3, 7, 3, 6, 0, -2, 5, -1, 
## -2, 6, 9, 1, 6, 2, -1, 3, 4, 2, 2, 3, 8, 3, 2, 2, 1, 2, 5, 4, 
## 1, 7, 2, 3, 2, 3, 3, 2, 4, 5, 6, 4, 4, 3, 3, 5, 3, 6, -1, 3, 
## 4, 1, 2, 2, 6, 3, 6, 3, 2, 2, 3, 2, 5, 5, 6, 4, 1, 1, 3, 0, 7, 
## 2, 5, 6, 5, 3, 8, 9, 3, 3, 1, 3, 2, 3, 3, 4, 4, 3, 3, 5, 3, 2, 
## 4, 4, 3, 3, 4, 2, 5, 4, 3, 3, 3, 4, 5, 3, 4, 3, 4, 2, 4, 3, 4, 
## 6, 4, 4, 4, 1, 2, 3, 2, 4, 4, 4, 5, 2, 3, -2, -1, 2, 2, 1, 2, 
## 2, 4, 0, -3, 3, 3, 2, 1, -1, 6, 1, 5, 3, 4, -1, -1, 1, 4, 1, 
## 0, 2, -3, -1, 2, 0, 4, 7, 2, 3, 1, -1, 0, 3, 4, 1, 3, 3, 4, 1, 
## 3, 5, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 3, 2, 2, 4, -1, 0, 2, 6, 
## 4, 1, 1, 2, 2, 4, 3, 1, 6, 0, -2, 3, 6, -2, 4, -2, 0, 3, 2, -1, 
## -3, 6, 3, 3, 2, 4, -1, 0, 1, 3, 1, 2, 4, 3, 6, 5, 5, 7, -3, 4, 
## 3, 1, 0, 6, 2, 3, 1, 1, 2, -2, 2, 3, 4, 2, 1, 1, 4, 4, 0, 3, 
## 1, -1, 4, 6, 1, -1, -1, 2, 2, 0, 1, 4, 1, 1, 0, 2, -2, 3, 5, 
## 2, 4, 5, 0, 5, -1, 2, 4, 2, 0, 2, 1, -1, 0, 5, 3, 5, 5, -4, 1, 
## 1, -1, 2, 6, 0, 3, 2, -2, 0, 3, 4, 2, 1, -2, -1, 2, 1, 4, 7, 
## -1, 7, 3, -1, 1, 4, 2, 0, 1, -1, 0, 3, 3, 3, 3, 3, 4, 1, 3, 2, 
## -3, -1, 3, 5, 2, 1, 6, 4, -2, 1, -2, -4, 0, 4, 0, 1, -2, -2, 
## 1, 6, 3, 3, 2, 3, 2, 0, 5, 5, 1, -1, 4, 4, 4, 5, 3, 0, 0, 2, 
## 2, 5, 9, 3, -3, 0, 7, 5, -4, 1, 5, 7, 2, 5, 0, 0, 2, -1, 1, 4, 
## 1, 5, 0, 2, 3, 0, 0, 4, 8, 1, 9, -2, 5, 1, 2, 6, 3, 1, -1, 2, 
## 0, 3, 1, 2, 1, 0, 2, 3, 2, 1, 1, 7, 2, 1, 7, -1, 0, 0, 7, 5, 
## 5, 6, 2, 2, 3, 5, 9, 11, 2, -9, -5, 2, 8, 8, 1, 2, 3, 0, 6, -2, 
## 3, 0, 1, 5, -1, 3, 4, 2, 7, 6, 2, 1, 10, -1, 1, 0, 2, 7, 3, 3, 
## 1, 2, 1, 0, 3, 5, 1, 5, 3, 1, 1, 4, 7, 8, 1, 1, 0, 0, -2, 3, 
## 4, 4, 2, 1, 1, 3, 2, 1, 1, 1, 0, 1, 3, 3, 0, 0, 1, 3, 2, 0, 2, 
## 3, 2, 3, -2, -2, 3, 2, 6, 1, 3, 4, 4, 1, 2, 2, 1, 0, 4, 1, 2, 
## 1, 1, 1, 1, 2, 2, 3, -2, 5, 6, -1, -3, 2, 4, 3, 4, 2, 3, 4, 5, 
## 4, 4, 2, 2, 3, 1, -2, -5, -4, 7, 5, 1, 0, 0, 2, 4, 9, 2, 9, 2, 
## 9, 8, 1, 1, 3, 3, 4, 2, 5, 5, 0, 4, 0, 1, -2, 6, 0, 5, 3, 1, 
## 9, 5, 1, -3, 3, 2, 0, 6, 3, 3, 0, 3, 0, 6, 4, -3, 8, -4, 1, 1, 
## 2, -1, -1, 12, 9, -2, 1, -1, -1, 4, 2, 1, 1, 5, 8, 2, 1, 1, 3, 
## 3, 0, 2, 1, 5, 2, 4, -1, 5, 4, 0, 4, 5, 3, 1, 2, 4, 3, 3, 1, 
## 2, -1, 0, 2, -1, 3, 1, 2, 2, 2, 2, -4, -1, 0, 0, 1, 3, 3, 2, 
## -1, -2, 3, 1, 2, 0, 1, 0, 2, 8, 4, -1, -5, 10, 11, 5, -3, -5, 
## 2, 4, 3, 2, 1, 0, -1, 0, 1, 0, -2, -3, 1, 3, 1, 1, 0, 2, 5, 0, 
## 3, 4, 2, 2, 1, -1, 2, 7, 1, 4, 3, 2, 1, 47, 43, 43, 48, 47, 44, 
## 43, 42, 44, 44, 47, 52, 48, 40, 42, 47, 47, 46, 41, 45, 44, 45, 
## 45, 46, 46, 44, 44, 44, 44, 46, 47, 47, 44, 47, 46, 42, 44, 48, 
## 47, 45, 45, 45, 45, 44, 44, 45, 45, 45, 47, 45, 44, 43, 46, 44, 
## 44, 46, 41, 43, 47, 48, 44, 45, 43, 45, 49, 47, 43, 45, 45, 40, 
## 41, 44, 47, 47, 47, 44, 49, 47, 44, 45, 44, 42, 47, 48, 45, 43, 
## 45, 43, 46, 44, 44, 45, 45, 44, 44, 46, 44, 45, 44, 47, 46, 45, 
## 49, 45, 46, 46, 47, 43, 43, 42, 47, 43, 43, 46, 43, 48, 45, 43, 
## 44, 43, 47, 46, 42, 45, 46, 43, 43, 45, 43, 43, 45, 43, 42, 48, 
## 49, 46, 47, 48, 43, 43, 43, 43, 43, 45, 43, 42, 46, 45, 45, 45, 
## 46, 44, 44, 42, 43, 45, 45, 46, 45, 48, 46, 46, 38, 46, 45, 42, 
## 45, 45, 44, 44, 45, 47, 47, 44, 45, 42, 44, 45, 43, 44, 44, 45, 
## 44, 46, 43, 43, 43, 42, 44, 46, 46, 45, 46, 47, 44, 41, 43, 45, 
## 47, 44, 47, 43, 49, 42, 44, 45, 45, 44, 44, 43, 44, 43, 43, 43, 
## 44, 46, 46, 46, 44, 44, 43, 45, 43, 42, 43, 41, 42, 43, 44, 47, 
## 44, 45, 46, 44, 44, 45, 46, 43, 43, 43, 47, 44, 43, 43, 45, 41, 
## 43, 46, 42, 43, 43, 43, 43, 45, 45, 45, 44, 45, 43, 45, 45, 48, 
## 48, 43, 44, 42, 44, 46, 47, 45, 46, 47, 48, 43, 46, 43, 43, 43, 
## 44, 46, 45, 42, 41, 42, 44, 43, 43, 44, 44, 42, 44, 44, 45, 45, 
## 45, 43, 42, 44, 44, 44, 46, 44, 43, 44, 45, 44, 47, 46, 42, 44, 
## 44, 43, 45, 45, 46, 43, 48, 43, 43, 43, 46, 48, 48, 41, 44, 46, 
## 45, 40, 46, 47, 43, 44, 44, 45, 44, 47, 47, 47, 46, 45, 43, 44, 
## 44, 44, 41, 43, 44, 46, 47, 44, 42, 44, 45, 43, 42, 43, 45, 45, 
## 47, 45, 46, 42, 46, 44, 46, 40, 42, 50, 49, 44, 42, 40, 43, 45, 
## 46, 46, 42, 43, 43, 43, 46, 45, 45, 46, 44, 44, 42, 45, 45, 44, 
## 46, 44, 41, 41, 45, 44, 45, 46, 46, 46, 46, 44, 45, 42, 44, 44, 
## 43, 45, 45, 45, 43, 44, 45, 44, 45, 43, 45, 44, 44, 45, 43, 44, 
## 47, 45, 44, 46, 43, 43, 44, 44, 46, 42, 41, 44, 44, 42, 44, 47, 
## 48, 48, 44, 44, 47, 45, 44, 45, 46, 45, 45, 45, 45, 44, 46, 43, 
## 45, 43, 45, 44, 44, 44, 45, 45, 45, 44, 44, 45, 42, 43, 45, 44, 
## 43, 45, 44, 45, 45, 46, 45, 46, 45, 43, 44, 44, 44, 46, 47, 43, 
## 46, 44, 42, 43, 41, 44, 43, 44, 44, 42, 42, 44, 46, 45, 42, 47, 
## 47, 47, 46, 46, 44, 44, 46, 46, 44, 46, 45, 44, 44, 43, 43, 47, 
## 46, 45, 44, 44, 44, 45, 43, 42, 45, 43, 45, 42, 46, 43, 45, 47, 
## 44, 48, 44, 43, 46, 43, 45, 40, 38, 41, 44, 46, 47, 47, 46, 46, 
## 44, 46, 54, 39, 38, 38, 41, 44, 46, 42, 46, 44, 44, 46, 44, 45, 
## 45, 41, 44, 41, 43, 46, 47, 47, 45, 45, 44, 47, 44, 43, 42, 42, 
## 44, 44, 44, 47, 45, 45, 45, 41, 47, 47, 45, 46, 46, 43, 42, 44, 
## 43, 46, 43, 46, 44, 44, 44, 44, 44, 44, 44, 46, 46, 46, 46, 41, 
## 44, 45, 44, 45, 46, 45, 46, 42, 46, 41, 45, 44, 44, 44, 45, 46, 
## 44, 45, 46, 45, 44, 45, 45, 45, 45, 43, 45, 41, 43, 45, 44, 45, 
## 44, 45, 42, 43, 47, 44, 44, 44, 42, 41, 41, 45, 44, 45, 42, 43, 
## 44, 43, 45, 45, 46, 45, 46, 45, 47, 46, 45, 45, 46, 44, 41, 42, 
## 48, 43, 41, 45, 44, 44, 46, 46, 45, 45, 45, 43, 46, 47, 47, 45, 
## 47, 44, 47, 43, 44, 44, 44, 48, 47, 43, 46, 46, 43, 46, 46, 46, 
## 43, 43, 44, 44, 46, 47, 45, 44, 44, 44, 44, 44, 45, 44, 48, 41, 
## 43, 46, 47, 44, 44, 45, 45, 46, 45, 46, 46, 43, 43, 45, 45, 44, 
## 47, 46, 44, 50, 41, 45, 43, 43, 62, 62, 60, 64, 63, 64, 60, 61, 
## 60, 61, 62, 66, 61, 61, 61, 63, 60, 61, 62, 59, 58, 59, 61, 62, 
## 63, 63, 62, 61, 64, 64, 63, 60, 61, 62, 62, 63, 61, 62, 62, 62, 
## 64, 63, 62, 63, 65, 61, 60, 62, 60, 60, 65, 65, 61, 61, 61, 63, 
## 63, 63, 61, 61, 59, 61, 61, 62, 64, 63, 60, 59, 63, 63, 62, 61, 
## 60, 64, 66, 66, 61, 60, 59, 63, 60, 62, 62, 60, 61, 63, 64, 64, 
## 61, 61, 63, 64, 61, 58, 58, 61, 66, 65, 63, 62, 59, 61, 61, 63, 
## 64, 63, 60, 62, 65, 63, 60, 63, 59, 65, 63, 64, 62, 61, 63, 61, 
## 60, 60, 61, 62, 62, 64, 63, 60, 63, 65, 62, 64, 64, 61, 60, 64, 
## 61, 61, 62, 63, 62, 61, 60, 62, 62, 61, 65, 62, 64, 63, 59, 59, 
## 62, 67, 67, 60, 61, 62, 63, 62, 61, 62, 64, 60, 60, 62, 62, 65, 
## 65, 64, 62, 61, 65, 64, 60, 60, 63, 63, 64, 61, 59, 68, 67, 58, 
## 60, 61, 64, 64, 62, 62, 60, 60, 60, 65, 65, 60, 60, 61, 64, 62, 
## 61, 62, 63, 61, 63, 60, 62, 62, 62, 60, 63, 64, 63, 66, 60, 59, 
## 63, 62, 61, 64, 65, 63, 64, 61, 66, 63, 58, 57, 61, 62, 62, 58, 
## 62, 61, 60, 60, 60, 62, 64, 62, 61, 60, 63, 60, 61, 59, 62, 63, 
## 64, 65, 63, 61, 61, 63, 62, 60, 60, 60, 62, 61, 62, 62, 63, 61, 
## 61, 64, 62, 62, 60, 62, 61, 60, 61, 61, 62, 64, 60, 60, 63, 59, 
## 65, 63, 64, 66, 61, 62, 59, 57, 62, 65, 67, 61, 60, 63, 64, 62, 
## 62, 64, 62, 60, 62, 61, 61, 59, 61, 61, 61, 61, 62, 63, 63, 63, 
## 65, 62, 62, 58, 62, 63, 63, 62, 63, 63, 63, 62, 63, 63, 62, 60, 
## 62, 64, 63, 61, 63, 59, 61, 64, 63, 63, 63, 64, 60, 61, 62, 62, 
## 64, 65, 60, 60, 61, 62, 63, 66, 64, 66, 64, 62, 61, 59, 60, 61, 
## 64, 60, 59, 65, 60, 61, 63, 63, 62, 60, 62, 62, 63, 61, 63, 64, 
## 63, 59, 61, 65, 63, 60, 60, 61, 60, 62, 63, 61, 61, 61, 65, 63, 
## 61, 61, 60, 63, 61, 62, 62, 62, 62, 63, 62, 63, 62, 63, 64, 66, 
## 62, 63, 62, 58, 66, 59, 61, 58, 58, 65, 63, 66, 67, 58, 57, 63, 
## 66, 62, 61, 62, 62, 63, 62, 62, 63, 63, 62, 63, 61, 60, 62, 63, 
## 60, 65, 65, 61, 61, 63, 59, 63, 60, 66, 66, 63, 62, 62, 62, 63, 
## 60, 61, 64, 65, 65, 61, 63, 66, 60, 63, 62, 60, 59, 60, 63, 63, 
## 62, 61, 62, 64, 61, 65, 60, 63, 62, 63, 62, 62, 61, 61, 59, 60, 
## 60, 64, 60, 60, 62, 62, 62, 61, 63, 62, 62, 62, 62, 62, 61, 60, 
## 64, 63, 61, 63, 61, 62, 64, 60, 59, 60, 61, 61, 60, 60, 62, 62, 
## 61, 63, 62, 65, 65, 62, 60, 60, 62, 62, 61, 63, 64, 62, 63, 61, 
## 61, 60, 63, 1, -2, 3, 6, 2, 3, 4, 2, 4, 3, 4, 0, 1, 2, -1, -1, 
## 0, 1, 0, 5, 3, -1, -2, 2, 4, 1, 3, 5, 3, 0, 1, -1, 1, 0, 4, 3, 
## -3, 1, 0, 3, 8, 5, 3, 5, 9, 8, 0, 4, 2, 0, -1, -1, 8, 0, 3, 3, 
## 4, 8, 4, 5, 3, 5, 3, 4, 4, 3, 3, 3, 4, 3, 1, 2, 3, 4, 3, 3, 3, 
## 5, 3, 5, 1, 7, 3, 4, 3, 4, 2, 2, 4, 2, 1, 4, 5, 5, 3, 0, 1, 2, 
## 6, 1, 1, 5, 2, 3, 3, 4, 5, 1, 2, 5, 2, 3, 2, 4, 4, 5, 3, 3, 3, 
## 2, 6, 3, 1, 0, 4, 4, 2, 1, 3, 4, 4, 3, 2, 4, 72, 71, 72, 71, 
## 68, 68, 72, 72, 70, 65, 74, 70, 71, 68, 71, 71, 71, 70, 73, 72, 
## 69, 68, 70, 72, 71, 71, 69, 72, 72, 71, 69, 71, 68, 71, 75, 74, 
## 68, 70, 71, 70, 68, 70, 72, 69, 69, 70, 72, 71, 70, 72, 68, 67, 
## 70, 70, 70, 69, 72, 71, 71, 71, 70, 74, 72, 70, 68, 68, 71, 70, 
## 70, 70, 70, 71, 72, 71, 68, 68, 67, 73, 68, 72, 72, 68, 70, 71, 
## 71, 71, 71, 70, 71, 71, 69, 71, 67, 71, 72, 71, 71, 70, 68, 72, 
## 71, 70, 70, 68, 67, 71, 70, 69, 70, 68, 70, 68, 73, 68, 72, 69, 
## 72, 4, 2, 4, 1, 3, 4, 3, 5, 6, 5, 4, 4, 4, 4, 5, 4, 4, 1, 5, 
## 3, 2, 4, 5, 2, 3, 6, 7, 5, 5, 6, 2, 3, 3, 2, 3, 3, 5, 3, 4, 5, 
## 4, 2, 4, 4, 5, 1, 0, -1, 7, 0, 8, 2, 5, 4, 4, 2, 3, 0, 0, 5, 
## 5, 5, 7, 3, 7, 5, 4, 2, 3, 2, 3, 0, 4, 0, 5, 2, 6, 5, 2, 2, 2, 
## 3, 4, 6, 1, 3, 5, 3, 3, 5, 2, 4, 1, 3, 3, 4, 3, 4, 6, 10, 4, 
## -2, 9, 6, 4, 2, 4, 4, 4, 1, 4, 0, 2, 4, 4, 2, 4, 7, 5, 5, 0, 
## -2, 4, 11, 5, 3, 3, 3, 1, 3, 4, 4, 5, 3, 3, 3, 2, 6, 4, 2, 3, 
## 6, 4, 0, 2, 3, 3, 5, 4, 3, 1, 3, 4, 2, 2, 2, 2, 2, 4, 3, 3, 5, 
## 7, 4, 3, 3, 6, 5, 2, 3, 5, 4, 5, 3, 3, 4, 4, 4, 1, 2, 4, 4, 3, 
## 3, 4, 4, 6, 6, 5, 6, 7, 7, 7, 4, 0, -3, -3, -3, 68, 69, 68, 70, 
## 72, 70, 66, 71, 67, 66, 70, 71, 74, 72, 70, 70, 72, 67, 66, 69, 
## 67, 69, 72, 70, 71, 72, 69, 70, 68, 69, 69, 72, 70, 71, 72, 70, 
## 70, 71, 71, 67, 67, 68, 70, 69, 69, 73, 68, 73, 69, 70, 71, 69, 
## 72, 68, 78, 66, 75, 65, 65, 73, 73, 70, 73, 73, 72, 71, 70, 72, 
## 71, 67, 69, 73, 73, 73, 66, 71, 74, 75, 72, 69, 67, 68, 69, 70, 
## 70, 73, 73, 73, 69, 71, 68, 68, 70, 69, 70, 68, 71, 69, 66, 67, 
## 68, 74, 68, 69, 70, 71, 68, 71, 70, 70, 71, 69, 71, 71, 69, 69, 
## 69, 69, 68, 71, 71, 73, 69, 70, 71, 73, 72, 71, 73, 68, 69, 69, 
## 70, 70, 73, 72, 69, 70, 70, 68, 66, 67, 72, 73, 69, 69, 70, 74, 
## 67, 68, 69, 73, 67, 72, 70, 70, 74, 70, 70, 70, 72, 70, 71, 70, 
## 71, 69, 73, 73, 68, 70, 70, 68, 70, 72, 68, 67, 70, 69, 69, 68, 
## 69, 73, 71, 67, 74, 70, 71, 74, 71, 67, 68, 70, 70, 70, 71, 69, 
## 69, 71, 72, 71, 69, 71, 70, 72, 72, 70, 70, 68, 68, 71, 68, 68, 
## 74, 68, 70, 72, 72, 73, 70, 71, 70, 70, 73, 70, 69, 68, 70, 70, 
## 69, 70, 70, 70, 70, 69, 70, 70, 71, 68, 72, 71, 70, 69, 69, 71, 
## 69, 70, 70, 72, 71, 71, 70, 72, 71, 70, 70, 69, 73, 67, 70, 67, 
## 70, 71, 70, 71, 72, 71, 70, 69, 70, 69, 70, 73, 71, 71, 68, 72, 
## 71, 68, 68, 67, 71, 72, 69, 68, 67, 72, 72, 70, 70, 72, 72, 75, 
## 70, 72, 72, 71, 68, 69, 71, 69, 70, 70, 68, 69, 70, 68, 68, 69, 
## 72, 74, 73, 71, 67, 68, 71, 70, 66, 70, 72, 70, 74, 69, 69, 73, 
## 71, 67, 66, 70, 71, 71, 68, 71, 67, 73, 72, 70, 72, 74, 70, 70, 
## 69, 70, 71, 69, 69, 70, 69, 71, 70, 73, 70, 70, 68, 69, 75, 68, 
## 73, 78, 69, 71, 66, 73, 69, 68, 69, 69, 70, 71, 70, 68, 67, 68, 
## 72, 77, 72, 75, 79, 71, 71, 75, 77, 76, 64, 62, 62, 61, 63, 63, 
## 62, 61, 62, 64, 65, 63, 63, 62, 61, 64, 63, 63, 63, 62, 63, 61, 
## 64, 62, 61, 63, 64, 63, 63, 61, 64, 63, 63, 64, 64, 63, 62, 62, 
## 63, 62, 63, 64, 59, 59, 61, 60, 60, 61, 62, 64, 64, 64, 63, 60, 
## 60, 63, 62, 64, 63, 61, 62, 62, 62, 59, 59, 61, 63, 64, 64, 63, 
## 64, 63, 67, 61, 62, 61, 62, 62, 63, 63, 61, 63, 64, 64, 64, 63, 
## 62, 62, 62, 62, 63, 63, 63, 62, 61, 64, 64, 65, 65, 64, 63, 62, 
## 62, 62, 63, 63, 63, 61, 65, 62, 62, 60, 64, 64, 63, 62, 62, 62, 
## 62, 64, 62, 62, 59, 61, 59, 62, 64, 63, 65, 67, 65, 64, 65, 61, 
## 67, 62, 57, 55, 60, 59, 60, 58, 59, 62, 62, 64, 63, 62, 64, 62, 
## 63, 63, 64, 60, 62, 64, 64, 62, 64, 67, 62, 61, 63, 63, 60, 66, 
## 63, 63, 64, 63, 62, 60, 62, 61, 62, 64, 62, 62, 64, 65, 63, 61, 
## 61, 61, 58, 66, 64, 60, 61, 64, 66, 67, 66, 63, 63, 62, 64, 65, 
## 63, 64, 63, 60, 60, 63, 62, 63, 64, 62, 62, 63, 61, 60, 64, 61, 
## 64, 65, 62, 64, 64, 64, 62, 64, 64, 62, 63, 59, 58, 63, 64, 64, 
## 64, 64, 63, 61, 60, 62, 64, 63, 60, 61, 63, 63, 62, 65, 63, 62, 
## 64, 63, 64, 63, 62, 64, 63, 65, 64, 60, 62, 64, 65, 62, 60, 61, 
## 66, 63, 64, 67, 58, 59, 63, 59, 56, 60, 59, 59, 63, 66, 65, 62, 
## 64, 63, 61, 61, 66, 61, 62, 62, 60, 60, 65, 67, 67, 67, 66, 77, 
## 70, 69, 69, 67, 64, 56, 53, 49, 5, 6, 9, 7, 7, 15, 11, 6, 16, 
## -11, -25, -27, -18, -11, -8, -8, -10, -14, -1, 13, 37, 12, 17, 
## 18, 18, 14, 13, 11, 12, 12, 11, 8, 7, 5, 5, 14, 17, 11, 0, -9, 
## -17, -9, -7, 2, 0, -9, -10, -4, -9, -20, -7, -6, -7, -10, -7, 
## -6, -7, -11, -8, -5, -6, -8, -7, -9, -7, -11, -6, -17, -14, -23, 
## -7, 26, 28, 13, 1, 3, 11, 17, 7, 5, 9, 16, 13, 13, 11, 8, 4, 
## 1, 3, 2, 2, 6, 5, -12, -8, 4, 12, 9, 2, 0, -4, -8, -7, -10, 4, 
## 7, 9, 24, 14, 25, 19, 16, 6, 3, 14, 10, 4, 3, 3, -4, 0, 5, 5, 
## 2, -11, -11, 1, 5, -17, -3, 1, -16, -7, -2, -9, -12, -3, -3, 
## -10, -8, -9, -10, -10, -10, -10, -7, -9, -12, -12, -6, -7, -6, 
## -11, -9, -5, -3, -13, -20, -30, -29, -17, -7, 4, 10, -3, 17, 
## 11, 10, 16, 4, 12, 12, 17, 5, -1, -5, -2, -1, -10, -10, -11, 
## -12, -10, -12, -10, -2, 7, 6, 3, 9, 8, 2, -16, 3, -5, -6, -8, 
## -10, -12, -10, -7, -10, -19, -14, -4, -9, -9, -8, -9, -6, -7, 
## -9, -8, -19, -17, -5, -2, -2, 12, 8, 7, 10, 8, 12, 10, 12, 13, 
## 14, 13, 16, 14, -2, -5, -7, -9, -3, -2, -5, -1, 3, 2, 2, -5, 
## -5, -4, -10, -8, -13, -16, 0, -3, -19, -15, -4, -10, -10, -9, 
## -10, -8, -7, -9, -9, -9, -6, -6, -4, -7, -6, -3, -5, -3, -7, 
## -6, 0, 16, 17, -2, 3, 4, 7, 16, 7, 6, 11, 6, 4, 2, 5, 6, -1, 
## -1, 4, -1, -2, -2, -2, -8, -4, -1, -6, -6, -5, -2, -4, -19, -13, 
## -8, -5, -7, -5, -11, -5, -5, -4, -1, 0, -9, -6, -6, -14, -19, 
## -19, -2, 12, 13, 17, 6, 6, 4, 12, 15, 9, 10, 18, 22, 2, -2, -3, 
## 1, -1, -2, 1, -2, 6, 7, 8, 27, 8, -2, -14, -22, -23, -17, 3, 
## 3, -7, -5, -9, -7, -5, -6, -8, -10, -9, -7, -5, -9, -6, -7, -5, 
## -3, -6, -6, -6, -6, -11, -15, -18, -12, 14, 17, 11, 5, 10, 12, 
## 24, 16, 7, 16, 14, 10, -1, -1, 4, 7, 6, -1, -5, -5, -2, 0, -7, 
## -1, -2, 2, 10, 13, 7, -3, -8, -9, -13, -10, -7, -13, -12, -5, 
## -7, -5, 2, 2, 10, 11, 2, 2, 2, 3, 3, 6, 8, 3, 4, 6, 4, 4, 4, 
## 2, 4, 2, 3, 4, 3, 5, 5, 0, 1, 3, 3, 4, 5, 7, 8, 4, 1, 4, 4, 3, 
## 2, 5, 5, 6, 1, 3, 1, 8, 2, 2, 5, 1, 1, 3, 3, -1, 2, 5, 4, 6, 
## 5, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 3, 5, 4, 2, 2, 1, 5, 6, 4, 
## 3, 1, 2, 0, 3, 6, 8, 6, 6, 4, 1, 4, 3, 4, 6, 5, 4, 5, 2, 6, 3, 
## 4, 8, 4, 7, 5, 4, 3, 4, 2, 1, 3, 2, 3, 2, 4, 5, 4, 3, 3, 3, 3, 
## 4, 4, 3, 4, 4, 4, 2, 4, 2, 5, 6, 4, 6, 4, 1, 0, 2, 1, 1, 0, 7, 
## 7, 3, 4, 6, 3, 3, 3, 4, 4, 2, 2, 2, 2, 3, 4, 5, 5, 6, 4, 5, 2, 
## 6, 1, 1, 4, 3, 4, 4, 4, 2, 3, 3, 3, 4, 7, 6, 7, 5, 4, 1, 1, 2, 
## 4, 5, 6, 3, 3, 5, 1, 1, 2, 6, 4, 2, 5, 3, 5, 6, 3, 4, 2, 2, 6, 
## 2, 2, 3, 5, 3, 4, 4, 2, 1, 2, 5, 3, 4, 3, 0, 0, 6, 7, 5, 5, 2, 
## 3, 3, 5, 2, 2, 4, 2, 5, 5, 3, 5, 4, 4, 4, 5, 3, 5, 3, 3, 5, 4, 
## 3, 3, 3, 5, 5, 3, 1, 6, 4, 2, 4, 1, 5, 1, 2, 5, 5, 5, 6, 8, 7, 
## 5, 1, 0, 0, 2, 1, 0, 1, 3, 6, 4, 5, 3, 5, 5, 2, 4, 2, 5, 6, 2, 
## 2, 2, 6, 2, 4, 3, 3, 3, 3, 2, 0, 9, 8, 6, 5, 3, 3, 4, 9, 2, 4, 
## 2, 5, 4, 4, 6, 6, 4, 2, 1, 5, 4, 1, 4, 0, 2, 4, 4, 2, 3, 4, 2, 
## -2, 3, 6, 5, 4, 4, -1, 2, 2, 3, 3, 0, -2, 2, 4, 6, 3, 4, 3, -1, 
## 3, 3, 0, 1, 4, 0, 8, 2, 0, 1, 0, 4, 2, 1, 0, 1, 4, 6, 2, 0, 1, 
## 3, 4, 0, 4, 4, 1, -1, 2, 1, 2, 3, 1, 0, 3, 1, 3, 4, 3, 5, 3, 
## 3, 0, 0, 3, -2, 3, 5, 4, 2, 6, 3, 0, 0, 1, 4, 5, -1, 1, 2, 0, 
## 0, 0, 0, 2, 5, 4, 5, 3, 0, 1, -2, 1, 2, 3, 3, 1, 3, 3, 2, 5, 
## 4, 6, 0, 3, 2, -2, -3, 0, 6, 6, 5, 4, 1, 1, 3, 1, 1, 3, 4, 0, 
## -1, 0, 3, 3, 5, 2, -2, 1, 1, 5, 0, 6, 0, 3, 5, 3, 1, 3, 5, 2, 
## 3, 3, 4, 0, 2, 1, 0, 1, 4, 3, 5, 1, 4, 5, 1, 3, 1, 1, -1, 1, 
## 2, 6, 6, 1, 1, 2, 2, -1, 0, 2, 7, 7, 3, -1, 1, 5, 5, 3, 5, 1, 
## -1, -1, 0, 3, 3, 8, 6, 2, 2, -1, 0, 2, 4, 3, 2, 0, 3, 4, 2, -1, 
## 3, 6, 2, 3, 4, 6, 5, 2, -1, 0, 2, 1, 1, 1, 5, 6, 1, 2, 4, 8, 
## 3, 0, -1, -1, 0, 0, 4, -3, -1, 0, 1, 2, 3, 4, 5, 4, 5, 0, 5, 
## 3, 6, 2, 5, 6, 2, -3, 1, 3, 3, 2, 0, 3, 5, 3, 3, 2, 1, 2, 7, 
## -1, -2, -1, -1, 3, 5, 3, 4, 3, 4, 5, 0, 1, 0, 2, 4, 3, 1, 0, 
## 1, 3, 0, 5, 3, 0, 5, 6, 0, -1, 3, 1, -3, 1, 1, -3, 0, 2, 7, 3, 
## -5, 7, 4, 2, -1, 3, 0, 2, 1, 2, 2, 1, 1, 1, 5, 1, 1, 0, 1, 3, 
## 1, 2, 4, 1, 0, 2, 5, 5, 2, 2, 4, 0, 2, 2, 3, 0, 2, 0, 4, 2, -2, 
## -1, 3, 3, 2, 2, 1, 2, 3, 3, 5, 4, 2, 3, 1, 2, 1, 2, 3, 4, 1, 
## 2, 3, 1, 5, 3, 3, 4, 4, 1, 0, 0, 0, 2, 2, 2, 1, 0, -7, -6, -6, 
## -2, -3, -1, 1, 4, 8, 18, 5, 6, 4, 0, 1, 4, 0, -3, -3, -4, -4, 
## 5, -2, 2, 2, 2, 7, 5, 1, 2, 0, 3, 7, 1, 0, 3, 3, 2, 1, 4, 4, 
## 1, 44, 45, 44, 43, 44, 47, 47, 46, 45, 44, 44, 43, 44, 42, 43, 
## 42, 45, 45, 46, 45, 44, 44, 45, 44, 45, 45, 46, 44, 44, 44, 45, 
## 44, 45, 45, 43, 42, 46, 44, 44, 42, 42, 45, 44, 43, 44, 43, 43, 
## 45, 45, 43, 45, 46, 45, 44, 43, 44, 43, 46, 44, 45, 46, 48, 44, 
## 44, 43, 42, 45, 43, 44, 46, 43, 43, 47, 44, 44, 43, 45, 44, 45, 
## 45, 45, 46, 43, 43, 42, 44, 43, 44, 46, 47, 45, 43, 47, 44, 46, 
## 47, 45, 43, 43, 45, 45, 43, 45, 46, 44, 45, 43, 45, 46, 43, 44, 
## 46, 44, 46, 44, 44, 44, 44, 47, 44, 45, 44, 43, 43, 44, 47, 44, 
## 46, 42, 43, 42, 43, 46, 47, 46, 43, 46, 45, 46, 45, 44, 45, 42, 
## 44, 47, 45, 44, 46, 45, 46, 44, 44, 42, 46, 45, 44, 43, 46, 45, 
## 44, 43, 44, 43, 42, 44, 43, 41, 44, 45, 45, 45, 45, 48, 41, 42, 
## 44, 46, 46, 46, 43, 43, 43, 44, 46, 47, 42, 42, 44, 43, 46, 44, 
## 45, 44, 45, 46, 45, 43, 41, 44, 46, 45, 42, 44, 46, 45, 45, 45, 
## 46, 46, 44, 45, 44, 43, 43, 43, 42, 45, 45, 44, 44, 45, 42, 44, 
## 43, 45, 45, 41, 47, 46, 47, 44, 46, 45, 44, 46, 43, 42, 43, 45, 
## 46, 48, 46, 45, 47, 47, 43, 43, 43, 44, 46, 45, 43, 45, 46, 46, 
## 42, 46, 46, 43, 44, 46, 41, 41, 41, 43, 48, 50, 44, 46, 43, 43, 
## 44, 45, 44, 46, 45, 44, 43, 45, 45, 45, 43, 43, 48, 47, 47, 46, 
## 44, 47, 44, 46, 44, 49, 48, 47, 47, 46, 45, 47, 44, 45, 46, 47, 
## 46, 27, 25, 26, 32, 35, 33, 35, 34, 33, 37, 48, 30, 33, 38, 40, 
## 39, 38, 43, 52, 62, 75, 30, 44, 48, 48, 50, 38, 34, 36, 32, 41, 
## 41, 36, 35, 37, 42, 42, 69, 39, 41, 55, 53, 48, 46, 47, 47, 51, 
## 48, 47, 55, 46, 47, 48, 52, 61, 54, 43, 51, 60, 58, 29, 7, 62, 
## 44, 43, 43, 46, 42, 43, 44, 44, 45, 44, 44, 45, 43, 45, 45, 45, 
## 42, 45, 43, 45, 45, 46, 45, 45, 45, 45, 44, 44, 48, 43, 45, 46, 
## 43, 42, 44, 47, 49, 45, 47, 41, 44, 44, 43, 43, 43, 42, 44, 43, 
## 45, 46, 44, 42, 43, 47, 47, 45, 44, 44, 47, 45, 45, 44, 44, 41, 
## 42, 44, 46, 44, 45, 46, 46, 45, 43, 41, 44, 44, 42, 43, 43, 47, 
## 45, 45, 44, 43, 43, 44, 43, 44, 42, 46, 45, 44, 44, 43, 47, 46, 
## 47, 42, 44, 46, 47, 46, 43, 44, 44, 47, 44, 45, 42, 42, 41, 45, 
## 46, 45, 46, 44, 43, 44, 45, 46, 44, 43, 45, 45, 44, 45, 47, 44, 
## 43, 44, 43, 44, 44, 46, 46, 44, 48, 44, 42, 44, 45, 45, 45, 44, 
## 46, 44, 43, 45, 60, 64, 60, 62, 66, 66, 66, 59, 62, 63, 62, 62, 
## 64, 61, 69, 61, 53, 53, 48, 54, 68, 76, 65, 63, 60, 62, 62, 72, 
## 59, 59, 60, 64, 66, 65, 61, 60, 59, 58, 67, 58, 64, 64, 61, 61, 
## 62, 63, 63, 64, 62, 62, 66, 62, 60, 60, 64, 62, 61, 61, 61, 64, 
## 64, 63, 63, 63, 63, 64, 63, 61, 60, 63, 63, 63, 60, 61, 62, 63, 
## 60, 65, 67, 61, 60, 62, 63, 62, 65, 64, 62, 63, 63, 61, 60, 71, 
## 63, 61, 59, 59, 60, 64, 66, 63, 61, 63, 65, 62, 62, 61, 60, 64, 
## 64, 63, 61, 63, 62, 63, 62, 63, 61, 62, 62, 61, 63, 62, 63, 63, 
## 65, 64, 63, 59, 60, 64, 62, 61, 61, 60, 63, 63, 61, 66, 65, 64, 
## 62, 60, 62, 62, 61, 58, 63, 64, 64, 64, 64, 63, 63, 63, 64, 61, 
## 61, 61, 62, 64, 65, 62, 62, 63, 60, 61, 64, 62, 61, 60, 61, 63, 
## 63, 65, 63, 63, 64, 61, 62, 61, 63, 62, 63, 61, 63, 62, 63, 63, 
## 63, 63, 63, 60, 59, 62, 61, 62, 65, 66, 62, 60, 59, 61, 62, 62, 
## 61, 60, 61, 61, 62, 62, 63, 64, 64, 62, 62, 62, 60, 63, 63, 61, 
## 62, 63, 64, 64, 65, 61, 63, 63, 61, 62, 63, 62, 62, 63, 61, 60, 
## 62, 63, 63, 62, 60, 60, 62, 62, 62, 62, 61, 62, 62, 61, 63, 60, 
## 64, 61, 64, 59, 62, 63, 64, 59, 61, 62, 61, 63, 63, 63, 63, 63, 
## 63, 62, 62, 61, 61, 61, 62, 63, 62, 63, 62, 64, 64, 62, 62, 62, 
## 63, 62, 63, 64, 62, 64, 63, 62, 62, 66, 65, 61, 63, 64, 64, 62, 
## 60, 62, 62, 63, 63, 62, 62, 63, 64, 64, 61, 64, 63, 62, 61, 63, 
## 64, 63, 63, 63, 63, 65, 61, 62, 62, 65, 65, 60, 57, 61, 61, 63, 
## 63, 61, 59, 61, 61, 59, 61, 64, -2, -2, 0, -2, 1, 3, 3, 1, -1, 
## -1, 2, 4, 5, 0, 0, 0, 0, 0, 3, 1, 0, 0, 3, 0, 6, 2, -2, 5, 4, 
## 3, -1, 1, 3, 4, 0, 1, 2, 4, 5, 0, 0, 3, 2, 3, 1, 2, 4, 2, 2, 
## 1, 2, -1, 3, 12, 7, 0, -2, 0, 4, 1, 0, 2, 2, 5, 4, 0, 5, 1, 0, 
## 4, 5, 3, 0, -1, -2, 1, 6, 8, 1, 1, -1, 1, 3, 4, 7, 5, 2, -1, 
## -1, 2, 3, 1, 0, -1, -3, -3, -5, 3, -14, -6, -13, -12, -5, -6, 
## -10, -10, -13, -11, -9, -7, -9, -10, 1, 13, 23, -5, 9, 1, 9, 
## 14, 12, 21, 21, 19, 11, 1, -3, -1, -1, -4, -7, -9, -12, -1, 4, 
## 7, -1, 1, -4, -2, -7, -5, -12, -11, -7, -5, -6, -17, -11, -4, 
## -13, -10, -8, -7, -9, -12, -12, -13, -13, -12, -7, -12, -7, -3, 
## -7, -10, -9, -16, -25, 18, 10, 9, 13, 13, 12, 8, 2, -1, -1, 2, 
## 2, 1, -5, 5, 5, 2, 1, 7, 1, -5, -13, -4, -4, -3, -3, -14, -12, 
## -8, -10, -6, -7, -6, -6, -11, -10, -10, -6, -9, -14, -18, -20, 
## -9, -1, -15, 5, 11, 17, 20, 12, 10, 14, 68, 71, 72, 71, 71, 70, 
## 69, 71, 72, 71, 71, 70, 73, 68, 68, 68, 72, 70, 71, 68, 68, 70, 
## 72, 72, 71, 70, 68, 70, 73, 69, 66, 73, 71, 72, 70, 70, 69, 72, 
## 70, 68, 69, 71, 67, 72, 71, 71, 71, 72, 66, 69, 68, 72, 71, 71, 
## 69, 69, 70, 70, 71, 70, 70, 74, 73, 66, 69, 67, 71, 70, 68, 71, 
## 68, 70, 72, 72, 69, 71, 74, 70, 70, 71, 71, 69, 71, 71, 68, 72, 
## 66, 4, 6, 7, 2, 4, 2, 0, 3, 2, 3, 7, 6, 4, 3, 3, 3, 4, 5, 3, 
## 1, 2, 7, 7, 8, 6, 0, -1, 4, 6, 7, 3, 2, 5, 1, 0, 3, 4, 5, 4, 
## 5, 5, 0, 5, 5, 5, 2, 1, 0, 2, 6, 3, 1, 3, 6, -6, -5, -9, -24, 
## -19, 5, -19, 29, 65, 164, 149, -54, 17, -5, -22, 13, -5, -8, 
## 4, 5, 0, -8, -8, -12, -12, -8, -10, -1, 6, 1, -7, -8, 1, 1, -2, 
## -3, -3, -2, -2, -3, -3, 3, 3, 1, 34, 33, 31, 32, 41, 35, 44, 
## 45, 44, 40, 39, 39, 43, 42, 40, 48, 45, 39, 43, 42, 40, 39, 36, 
## 42, 47, 31, 26, 20, 7, 12, 33, 19, 60, 39, 17, 43, 33, 35, 39, 
## 43, 53, 46, 39, 54, 46, 45, 51, 51, 48, 52, 48, 44, 26, 26, 25, 
## 26, 19, 28, 27, 25, 27, 29, 39, 40, 41, 40, 33, 33, 29, 43, 36, 
## 30, 32, 48, 45, 46, 45, 46, 53, 49, 42, 41, 41, 40, 39, 40, 36, 
## 32, 33, 41, 52, 81, 71, 63, 61, 45, 43, 55, 59, 49, 50, 53, 35, 
## 36, 43, 46, 49, 75, 61, 54, 48, 48, 48, 44, 41, 32, 32, 40, 46, 
## 40, 25, 27, 34, 38, 38, 40, 42, 24, 16, 52, 121, 39, 67, 55, 
## 52, 48, 53, 56, 58, 21, 35, 42, 44, 28, 24, 23, 25, 34, 36, 39, 
## 37, -5, 1, 0, 2, 5, 8, 11, 6, 2, 3, 4, 9, -4, -13, -6, -1, 10, 
## 12, 28, 25, 14, 23, 23, 14, 8, 8, 6, 4, 3, -6, 6, 9, -12, -7, 
## -2, -6, -4, 1, -3, -3, 4, 4, 3, 0, -9, -2, -1, 2, 0, -1, -1, 
## 0, 0, -3, -6, -3, -3, -2, -2, -5, -8, -9, 6, 8, 8, 7, 1, 7, 8, 
## 10, 10, 9, 13, 4, 1, -2, 3, 9, -1, 7, 3, 9, 18, 18, 19, 21, 14, 
## 5, 8, 6, 8, -3, 2, -4, -2, -2, -12, -1, -3, -4, 1, 3, 3, 5, 3, 
## 5, -10, -2, -2, -1, -2, 1, 3, 3, 1, -2, -4, -9, -12, -15, -14, 
## -13, -3, 5, 14, 11, 3, 3, 4, 6, 1, -1, 0, 4, 0, -3, 3, 16, 23, 
## 21, 18, 20, 20, 14, 9, 7, -2, 13, 3, 1, 5, 3, -5, -5, -7, -2, 
## 0, -4, -3, -4, -7, 2, 0, -1, -1, -2, 2, 1, -3, -1, 13, 12, 7, 
## 5, 3, -1, 1, 5, 3, 1, 5, -5, -4, -2, -3, -1, 1, 1, -6, 0, 0, 
## -4, -5, -4, 0, -2, -3, -4, 9, 13, 12, 3, -4, -1, 2, 5, 9, 17, 
## 18, 21, 21, 6, 2, 2, 2, 3, 4, 2, -1, -3, 1, 4, -2, -7, -5, -9, 
## 4, -1, 2, -1, 2, 1, -1, 2, 4, 1, -1, 0, -3, -4, -2, -4, -2, -1, 
## -3, -1, 2, 17, 3, -1, 2, 5, 4, 4, 7, 10, 12, 15, 13, -2, -1, 
## 0, -1, 2, -1, -2, -2, -1, -1, -4, -6, -4, -5, -9, -4, 3, 3, 9, 
## 11, 7, 4, -2, 9, 6, 6, 9, 2, 0, 2, 1, 4, 6, 2, 9, 7, 15, 21, 
## 20, 10, 4, 6, 4, -1, 0, 2, -7, -6, 3, 1, 0, 2, -3, -5, -2, 0, 
## -2, -2, -3, -4, -2, -4, -4, -3, -4, -5, -3, 2, -3, -9, -8, 6, 
## 1, -8, 4, 12, 7, 5, 3, 3, 20, 26, 23, 17, 6, 0, 3, -1, -2, -4, 
## -1, -4, -3, -3, -9, -9, 11, 1, 7, 7, -1, -2, -6, -7, -3, -4, 
## -4, -4, 1, 2, -2, -4, -3, -3, -5, -5, -3, 0, 1, 0, -7, -5, -2, 
## -3, 0, 5, 3, -1, -5, -2, -11, -2, 3, 12, 11, 14, 17, 21, 22, 
## 14, 11, 12, 11, 9, 3, 2, 1, -10, 0, -4, -4, -7, 3, 2, -4, -11, 
## -7, -3, -6, 0, 1, -3, -4, -2, 1, 10, 9, 1, -1, 1, 6, 4, 0, 4, 
## 2, 4, 4, 2, 2, 5, 5, 2, 2, 4, 5, 4, 5, 2, 2, 2, 4, 1, 5, 6, 3, 
## 4, 5, 5, 1, 4, 3, 4, 3, 2, 6, 4, 4, 5, 5, 2, 6, 3, 1, 2, 2, 2, 
## 2, 1, 5, 7, 3, 3, 5, 4, 5, 4, 4, 3, 4, 3, 4, 6, 5, 4, 4, 2, 4, 
## 5, 2, 4, 4, 3, 5, 4, 3, 3, 2, 3, 5, 58, 59, 58, 50, 58, 59, 57, 
## 66, 86, 68, 73, 63, 62, 58, 58, 66, 60, 58, 62, 67, 85, 78, 75, 
## 69, 65, 63, 66, 58, 59, 58, 71, 62, 68, 79, 74, 67, 67, 70, 65, 
## 63, 63, 62, 65, 62, 59, 63, 70, 83, 82, 75, 73, 60, 49, 62, 107, 
## 73, 67, 69, 79, 72, 68, 70, 74, 64, 62, 69, 67, 46, 48, 70, 65, 
## 73, 73, 70, 70, 70, 72, 70, 70, 69, 68, 72, 76, 59, 58, 63, 62, 
## 62, 66, 66, 62, 63, 63, 60, 70, 79, 81, 82, 72, 70, 54, 71, 90, 
## 76, 76, 81, 76, 66, 67, 60, 66, 74, 83, 71, 46, 46, 59, 73, 59, 
## 58, 61, 65, 65, 69, 66, 69, 68, 68, 63, 49, 49, 49, 50, 45, 54, 
## 62, 58, 48, 44, 47, 47, 38, 36, 63, 73, 69, 61, 56, 79, 63, 56, 
## 55, 58, 60, 52, 57, 57, 58, 63, 65, 63, 65, 49, 43, 45, 45, 45, 
## 58, 55, 57, 62, 62, 56, 59, 59, 49, 53, 53, 60, 62, 57, 49, 55, 
## 60, 58, 52, 51, 52, 54, 50, 49, 61, 50, 53, 59, 75, 35, 53, 58, 
## 54, 60, 61, 52, 49, 43, 38, 44, 55, 54, 47, 43, 51, 69, 60, 55, 
## 58, 59, 61, 61, 60, 49, 39, 40, 40, 41, 42, 45, 46, 50, 55, 56, 
## 55, 47, 49, 60, 52, 63, 54, 59, 67, 62, 55, 53, 58, 58, 57, 57, 
## 55, 55, 55, 57, 64, 62, 54, 49, 54, 55, 58, 59, 54, 57, 55, 56, 
## 58, 60, 49, 47, 50, 52, 54, 60, 62, 57, 59, 57, 57, 58, 57, 57, 
## 60, 61, 67, 63, 62, 55, 55, 53, 49, 50, 53, 55, 53, 49, 47, 47, 
## 49, 55, 55, 52, 59, 61, 59, 55, 52, 59, 62, 60, 58, 56, 58, 61, 
## 62, 63, 63, 60, 60, 58, 56, 55, 50, 53, 66, 68, 55, 55, 57, 56, 
## 58, 52, 45, 45, 57, 42, 47, 55, 52, 55, 46, 68, 62, 49, 46, 52, 
## 56, 58, 61, 59, 54, 50, 53, 57, 58, 58, 57, 58, 60, 63, 57, 53, 
## 57, 55, 60, 57, 55, 50, 55, 58, 58, 65, 57, 56, 58, 48, 55, 61, 
## 62, 59, 59, 55, 57, 56, 57, 58, 55, 56, 56, 60, 61, 57, 57, 58, 
## 69, 58, 64, 41, 46, 48, 53, 51, 44, 48, 46, 51, 66, 65, 70, 70, 
## 65, 61, 58, 58, 59, 60, 60, 62, 63, 63, 70, 66, 62, 55, 51, 52, 
## 60, 55, 52, 45, 45, 47, 55, 79, 53, 47, 54, 59, 59, 60, 46, 51, 
## 63, 60, 57, 55, 57, 55, 53, 51, 54, 55, 56, 58, 61, 57, 45, 58, 
## 58, 45, 42, 54, 60, 60, 60, 50, 37, 49, 64, 55, 43, 54, 68, 83, 
## 63, 61, 62, 59, 54, 46, 50, 47, 52, 60, 64, 57, 60, 60, 58, 59, 
## 58, 51, 53, 53, 52, 46, 46, 38, 47, 54, 58, 58, 75, 82, 68, 52, 
## 44, 49, 53, 54, 64, 63, 54, 53, 56, 61, 65, 63, 56, 65, 69, 65, 
## 62, 57, 57, 55, 52, 46, 44, 47, 53, 59, 42, 31, 69, 58, 68, 63, 
## 56, 58, 59, 53, 58, 60, 60, 65, 64, 61, 59, 52, 46, 64, 48, 48, 
## 61, 44, 50, 52, 52, 53, 54, 71, 59, 55, 49, 48, 47, 62, 59, 60, 
## 62, 56, 56, 59, 62, 56, 58, 60, 59, 57, 57, 59, 55, 54, 51, 49, 
## 49, 52, 54, 54, 56, 55, 54, 56, 53, 49, 47, 50, 47, 51, 53, 40, 
## 49, 54, 59, 59, 56, 57, 58, 58, 62, 67, 49, 58, 54, 55, 58, 58, 
## 57, 56, 59, 60, 59, 58, 62, 56, 56, 60, 48, 38, 29, 26, 29, 56, 
## 58, 62, 57, 60, 51, 47, 51, 48, 58, 65, 56, 60, 61, 60, 58, 59, 
## 57, 59, 66, 69, 58, 59, 45, 42, 42, 42, 42, 49, 46, 48, 57, 66, 
## 55, 73, 53, 67, 44, 56, 55, 57, 60, 58, 56, 61, 59, 56, 55, 54, 
## 50, 36, 24, 29, 77, 60, 60, 56, 40, 40, 25, 37, 58, 65, 64, 51, 
## 46, 48, 53, 49, 42, 52, 62, 71, 71, 75, 69, 67, 62, 60, 63, 60, 
## 55, 53, 44, 38, 40, 43, 41, 37, 39, 56, 49, 49, 61, 59, 62, 59, 
## 61, 59, 56, 65, 70, 68, 60, 62, 62, 62, 58, 59, 63, 64, 57, 58, 
## 64, 62, 61, 62, 64, 61, 60, 69, 48, 62, 59, 60, 61, 63, 68, 61, 
## 47, 41, 34, 40, 58, 76, 77, 57, 60, 61, 67, 75, 77, 64, 62, 60, 
## 60, 64, 63, 61, 65, 72, 69, 66, 59, 63, 61, 60, 63, 61, 64, 64, 
## 60, 68, 66, 61, 60, 61, 59, 65, 66, 64, 64, 65, 66, 56, 57, 58, 
## 60, 64, 62, 66, 65, 65, 63, 64, 63, 63, 65, 62, 3, 6, 6, 3, 5, 
## 6, 4, 6, 7, 5, 5, 5, 5, 3, 2, 2, 3, 0, 1, -1, 4, 5, 2, 6, 3, 
## 3, 7, 4, 0, 3, 5, 5, 2, 2, 3, 3, 3, 4, 6, 6, 5, 6, 5, 5, 4, 3, 
## 0, 3, 6, 8, 6, 4, 3, -1, -1, 0, 2, 5, 8, 4, 5, 2, 4, 4, 3, 2, 
## 4, 2, 1, 1, 3, 5, 5, 4, 5, 7, 6, 5, 2, 3, 4, 1, 0, 5, 3, 6, 3, 
## 3, 2, 4, 2, 2, -2, 2, 4, 3, 4, 5, 4, 5, 3, 2, 3, 4, 3, 5, 7, 
## 4, 3, 4, 3, 5, 3, 3, 4, 3, 3, 3, 4, 1, -1, -1, 3, 3, 3, 6, 5, 
## 6, 6, 4, 4, 3, 4, 3, 2, 2, 2, 0, 0, 3, 1, 4, 4, 3, 5, 3, 6, 4, 
## 5, 4, 3, 1, 2, 2, 1, 4, 3, 4, 4, 3, 10, 11, -2, 0, 4, 5, 3, 5, 
## 7, 9, 5, 2, 3, 6, 6, 1, 1, 3, -1, 0, 2, 6, 5, 4, 5, 5, 4, 2, 
## 2, 3, 5, 4, 5, 3, 1, 3, 3, 3, 2, 5, 6, 5, 4, 4, 2, 1, 1, 3, 3, 
## 3, 4, 5, 5, 5, 3, 2, 1, 5, 2, -2, 5, 3, 4, 4, 5, 3, 0, -1, 4, 
## 2, 3, 4, 3, 4, 4, 7, 6, 3, 3, 2, 3, 3, 5, 4, 3, 4, 4, 7, 5, 4, 
## 4, 6, 6, 3, 4, 1, 1, 3, 4, 6, 6, 4, 2, 2, 3, 2, 2, 3, 5, 6, 7, 
## 5, 2, 6, 4, 4, 4, 6, 5, 5, 5, 6, 4, 3, 4, 1, 4, 2, 4, 4, 5, 1, 
## -2, 5, 6, 4, 3, 2, 3, 8, 3, 2, 3, 3, 5, 3, 2, 3, 4, 3, 2, 3, 
## 1, 2, 2, 4, 2, 1, 2, 4, 0, 2, 4, 4, 2, 6, 7, 6, 7, 4, 4, 5, 3, 
## 4, 3, 4, 4, 5, 4, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 5, 6, 5, 3, 5, 
## 5, 3, 3, 4, 5, 3, 2, 4, 5, 5, 4, 5, 3, 3, 4, 3, 3, 3, 3, 5, 3, 
## 4, 5, 4, 4, 4, 4, 5, 5, 4, 5, 5, 3, 3, 2, 3, 4, 5, 3, 3, 3, 3, 
## 3, 4, 5, 3, 3, 3, 3, 3, 4, 3, 3, -10, -2, -9, -32, 0, -21, -23, 
## -19, -23, -4, 17, 150, 109, -31, -15, -12, -69, 70, 6, -9, 18, 
## 2, -1, -1, 4, 2, 3, 2, 3, 0, 1, 6, 4, -1, 0, 3, 0, 4, 4, 4, 4, 
## 2, 2, 5, -1, 0, 2, 2, 1, 3, 4, 2, -1, 4, 1, 2, 4, 5, 2, 2, 8, 
## 6, 2, 8, -9, -6, -3, -9, -8, 3, -6, 14, 2, 23, 18, 3, 4, 33, 
## 52, 51, 47, 17, 22, 23, 15, 4, -9, -11, -6, -10, -7, -7, -15, 
## -6, -1, -21, -4, -1, -2, -9, -14, 3, -18, -65, -38, 1, -12, 34, 
## 47, 37, 40, 41, 16, 23, 41, 40, 33, 27, 30, 22, 19, 18, 18, 21, 
## 9, -9, -23, -21, -26, -23, -16, -25, -11, 15, -4, 4, 0, -10, 
## -12, -10, -7, -9, -15, -41, -12, -8, 8, 18, 26, 45, 35, 33, -1, 
## 10, 31, 42, 38, 43, 31, 18, 17, 8, 3, -38, -16, -12, -14, -18, 
## -23, 6, 0, -3, -2, -8, -12, -1, -2, -6, -8, -9, -9, -21, -28, 
## -18, -10, 23, -13, 0, 34, 33, 36, 45, 30, 27, 14, 1, -5, -31, 
## -27, -27, -24, -24, -18, -9, 1, 11, 0, -3, 10, -4, -1, -8, -17, 
## -18, -28, -26, -13, 30, 5, 60, 48, 45, 44, 53, 46, 35, 43, -2, 
## -29, -27, -26, -24, -10, -25, -23, -1, 13, 12, 3, -1, 6, -4, 
## -5, -2, -1, -4, -8, -9, -10, -12, -17, -35, -36, -29, -30, -36, 
## -30, 2, 11, 30, 31, -3, 12, 18, 39, 45, 58, 54, 46, 41, 39, 36, 
## 32, 3, -30, -36, -33, -25, -23, -22, -17, -11, -17, -9, 9, 13, 
## -1, -1, 0, 1, -6, -11, -8, -12, -22, -34, -7, -11, -21, -11, 
## -22, -24, 48, 58, 39, 45, 36, 38, 31, 22, 11, 3, -1, -24, -36, 
## -28, -14, -9, 12, -12, -7, 1, -4, -3, 0, -5, -7, -6, 2, 8, -14, 
## -10, -1, 1, -2, -7, -3, -16, -19, -3, -1, 11, 4, 5, 14, 30, 10, 
## 31, 30, 20, 14, 14, 1, -1, -12, -12, 5, -8, -3, -6, -5, -9, -10, 
## -2, 1, -3, -18, -5, -5, -8, -2, -1, 0, 1, 3, 1, 5, 0, 10, 3, 
## 0, 1, 2, 1, 1, 2, 2, 2, 2, 5, 1, 3, 1, 1, 2, 1, 2, 1, 3, 3, 2, 
## 2, 4, 2, 0, 0, 1, 3, 2, 7, 6, 2, 4, 3, 3, 2, 1, 1, 1, 1, 0, 2, 
## 3, 2, 3, 44, 41, 42, 34, 30, 32, 37, 39, 27, 32, 36, 33, 37, 
## 45, 47, 48, 38, 41, 27, 23, 22, 24, 30, 29, 33, 41, 4, 24, 26, 
## 21, 30, 41, 35, 50, 48, 45, 51, 58, 59, 59, 57, 32, 34, 36, 37, 
## 29, 20, 22, 25, 29, 33, 41, 42, 43, 41, 37, 32, 34, 36, 35, 37, 
## 40, 39, 36, 35, 38, 40, 43, 44, 45, 44, 37, 39, 40, 42, 46, 37, 
## 34, 23, 22, 23, 19, 26, 30, 50, 59, 33, 45, 47, 25, 23, 16, 33, 
## 29, 46, 43, 41, 44, 49, 56, 58, 64, 59, 57, 62, 46, 44, 44, 43, 
## 32, 19, 12, 27, 33, 33, 37, 31, 31, 36, 36, 35, 35, 38, 44, 43, 
## 45, 41, 39, 35, 52, 44, 39, 34, 35, 32, 40, 29, 25, 24, 19, 31, 
## 34, 21, 31, 38, 42, 43, 43, 41, 29, 43, 31, 35, 32, 42, 46, 40, 
## 43, 38, 42, 55, 51, 51, 54, 57, 52, 39, 14, 23, 23, 18, 18, 27, 
## 27, 23, 27, 30, 30, 27, 36, 35, 38, 39, 39, 42, 39, 38, 38, 40, 
## 41, 41, 42, 30, 30, 32, 30, 35, 39, 36, 38, 44, 40, 33, 30, 31, 
## 30, 26, 25, 38, 56, 47, 56, 60, 56, 34, 31, 33, 27, 29, 58, 64, 
## 66, 68, 71, 59, 51, 49, 45, 38, 31, 26, 21, 15, 23, 29, 37, 29, 
## 26, 28, 33, 15, 44, 29, 35, 54, 37, 35, 40, 54, 47, 47, 45, 52, 
## 52, 49, 44, 45, 44, 43, 40, 43, 37, 35, 39, 44, 43, 40, 38, 21, 
## 34, 30, 29, 26, 32, 34, 39, 32, 41, 35, 39, 33, 31, 45, 37, 42, 
## 43, 45, 40, 19, 19, 5, 35, 62, 43, 47, 50, 47, 6, 17, 28, 55, 
## 37, 52, 59, 59, 54, 58, 55, 49, 48, 49, 49, 46, 42, 42, 43, 39, 
## 44, 47, 47, 57, 49, 59, 55, 40, 31, 14, 23, 27, 14, 12, 21, 52, 
## 53, 40, 25, 36, 51, 45, 36, 35, 40, 45, 46, 36, 39, 46, 49, 58, 
## 58, 60, 61, 57, 50, 49, 47, 35, 29, 25, 21, 19, 16, 21, 29, 25, 
## 25, 31, 33, 32, 32, 30, 37, 47, 51, 39, 31, 37, 44, 40, 48, 51, 
## 34, 30, 18, 1, 3, 6, 29, 42, 45, 50, 22, 26, 48, 39, 28, 43, 
## 31, 54, 43, 41, 51, 49, 34, 46, 49, 50, 53, 54, 52, 49, 48, 45, 
## 46, 43, 36, 38, 40, 19, 20, 18, 17, 45, 43, 43, 38, 40, 38, 32, 
## 31, 16, 18, 25, 33, 58, 49, 40, 48, 41, 46, 43, 46, 39, 36, 17, 
## 19, 20, 22, 23, 25, 34, 37, 37, 36, 37, 36, 34, 37, 38, 42, 36, 
## 36, 16, 25, 30, 30, 33, 32, 31, 30, 31, 33, 35, 41, 40, 36, 47, 
## 43, 42, 45, 47, 46, 47, 47, 47, 43, 36, 31, 24, 45, 43, 39, 38, 
## 40, 42, 38, 36, 39, 32, 47, 55, 46, 36, 31, 31, 25, 17, 8, 11, 
## 67, 48, 72, 83, 80, 59, 36, 66, 69, 66, 64, 68, 72, 72, 81, 63, 
## 70, 66, 67, 61, 59, 63, 57, 63, 64, 67, 63, 82, 62, 60, 70, 59, 
## 87, 72, 53, 57, 58, 62, 58, 74, 73, 52, 63, 62, 65, 88, 94, 76, 
## 75, 81, 76, 75, 75, 67, 70, 61, 64, 69, 66, 55, 72, 70, 58, 69, 
## 68, 68, 67, 65, 60, 65, 75, 71, 69, 66, 70, 69, 70, 64, 67, 67, 
## 59, 64, 54, 54, 59, 65, 70, 55, 66, 71, 68, 82, 75, 98, 82, 88, 
## 85, 76, 70, 74, 68, 48, 56, 55, 58, 61, 73, 63, 71, 82, 60, 62, 
## 68, 65, 59, 66, 72, 61, 69, 63, 69, 66, 57, 58, 57, 49, 55, 54, 
## 74, 63, 66, 63, 64, 70, 66, 46, 51, 56, 56, 52, 64, 66, 68, 79, 
## 83, 88, 84, 75, 65, 67, 66, 57, 49, 55, 69, 66, 79, 67, 67, 61, 
## 61, 58, 61, 66, 64, 50, 59, 64, 80, 69, 74, 85, 91, 58, 61, 62, 
## 36, 39, 51, 58, 61, 61, 70, 78, 77, 90, 66, 71, 53, 35, 44, 56, 
## 84, 54, 1, 55, 72, 70, 64, 55, 71, 70, 62, 67, 70, 70, 66, 69, 
## 68, 65, 65, 65, 64, 67, 69, 69, 69, 72, 66, 63, 61, 72, 59, 56, 
## 70, 70, 65, 68, 69, 71, 73, 71, 68, 68, 64, 66, 68, 67, 71, 70, 
## 68, 70, 72, 0, 0, 4, -1, 2, 1, -1, 2, 3, 3, 4, 2, 2, 0, 3, 0, 
## -1, 2, 2, 2, 3, 3, 4, 4, 1, 3, 3, 4, 2, 4, -1, 4, 4, 2, 2, 4, 
## 1, -1, 0, -2, 0, 6, -1, 1, 2, 0, 1, -1, 0, 3, 49, 50, 51, 50, 
## 48, 63, 69, 60, 50, 56, 62, 59, 56, 58, 57, 57, 57, 60, 57, 55, 
## 55, 5, 2, 2, 5, 5, 2, 5, 2, 4, 1, 4, 4, 2, 0, -3, -2, 1, 0, 1, 
## 2, 5, 2, 0, 3, 0, -7, -6, -5, -5, -3, -6, -14, -3, -9, 10, 14, 
## 14, 22, 36, 25, 25, 28, 29, 26, 25, 23, 14, 10, 4, -5, -8, -7, 
## -7, -10, -8, 1, 4, 20, 23, 29, 11, 13, 3, 0, 15, 18, 15, 33, 
## 32, 35, 24, 5, 5, -6, -15, -12, -19, 3, 1, 3, 1, 1, 2, 0, 0, 
## 3, 2, 3, 4, 3, 4, 1, 2, -1, 0, 2, 1, 0, 3, 1, 0, -3, 0, 5, 8, 
## 6, 3, 5, 5, 3, 1, 4, 4, 4, 2, 4, 2, 3, 3, 15, -7, -33, -10, 9, 
## 20, 8, 2, 7, 2, 0, 6, 3, 3, 4, 4, 3, 4, 3, 2, 0, 3, 3, 4, 3, 
## 4, 4, 4, 0, 1, 3, 4, 4, 5, 4, 4, 3, 4, 2, 3, 3, 5, 6, 4, 4, 2, 
## 2, 1, 4, 3, 7, 6, -1, -2, 4, 3, 3, 6, 6, 69, 65, 62, 70, 80, 
## 78, 64, 69, 71, 69, 67, 65, 64, 66, 71, 67, 65, 66, 67, 67, 67, 
## 68, 67, 69, 65, 62, 65, 65, 63, 64, 92, 100, 73, 73, 67, 61, 
## 70, 70, 54, 66, 63, 42, 51, 59, 50, 40, 48, 64, 71, 64, 68, 67, 
## 72, 78, 65, 60, 83, 91, 92, 84, 87, 65, 49, 49, 59, 86, 33, 58, 
## 64, 63, 64, 63, 75, 61, 68, 77, 74, 69, 67, 72, 68, 60, 63, 57, 
## 78, 81, 38, 29, 50, 61, 58, 58, 71, 65, 69, 74, 74, 64, 68, 70, 
## 66, 65, 57, 63, 64, 68, 67, 67, 73, 76, 69, 64, 66, 63, 65, 68, 
## 67, 62, 64, 72, 70, 86, 89, 79, 80, 7, 4, 14, 12, 7, 7, 14, 20, 
## 26, 21, 13, 7, 7, -1, -4, -3, -4, 11, 17, 5, 1, -12, -3, 1, 3, 
## 3, 3, -15, -10, 3, 5, -2, -7, -1, 0, -1, -1, -3, -3, -4, -4, 
## -6, -5, 4, 6, -3, -1, -5, -6, -2, -6, 17, 7, 7, 4, 5, 1, 4, 0, 
## 2, -1, 7, 8, 4, -1, 3, 0, -12, 1, 3, -2, 4, 9, 1, 4, 1, 0, -2, 
## -3, -5, -5, -3, -1, 1, 6, 4, 4, 7, 6, 6, 8, 3, 14, 10, 6, 11, 
## 6, 11, 15, 17, 15, 57, 54, 50, 59, 61, 73, 63, 46, 32, 31, 22, 
## 27, 54, 53, 52, 57, 53, 51, 52, 47, 25, 26, 15, 13, 18, 25), 
##     accel_belt_z = c(22, 22, 23, 21, 24, 21, 21, 21, 24, 22, 
##     23, 23, 21, 21, 22, 23, 22, 21, 21, 22, 20, 21, 21, 22, 21, 
##     22, 22, 21, 23, 21, 22, 21, 19, 21, 22, 21, 22, 21, 21, 21, 
##     21, 21, 20, 22, 20, 19, 21, 22, 21, 23, 21, 21, 22, 23, 21, 
##     20, 23, 22, 22, 21, 21, 22, 21, 22, 21, 20, 21, 20, 21, 21, 
##     22, 22, 23, 25, 20, 22, 22, 22, 22, 22, 23, 20, 21, 21, 21, 
##     22, 22, 22, 21, 23, 24, 21, 22, 23, 21, 24, 23, 23, 24, 23, 
##     25, 25, 23, 25, 23, 24, 27, 24, 24, 24, 25, 27, 25, 24, 24, 
##     27, 26, 22, 20, 22, 23, 23, 23, 21, 20, 23, 23, 25, 24, 26, 
##     25, 26, 23, 23, 22, 21, 21, 22, 21, 20, 20, 22, 19, 21, 22, 
##     21, 22, 23, 23, 23, 24, 25, 26, 28, 29, 27, 27, 29, 28, 30, 
##     29, 28, 28, 28, 29, -188, -185, -184, -187, -188, -189, -186, 
##     -186, -185, -186, -184, -185, -186, -183, -187, -187, -185, 
##     -183, -184, -183, -184, -186, -187, -184, -183, -185, -187, 
##     -185, -184, -185, -183, -183, -183, -182, -185, -187, -187, 
##     -186, -186, -187, -186, -186, -183, -186, -186, -183, -184, 
##     -183, -188, -183, -184, -184, -185, -182, -185, -185, -183, 
##     -185, -184, -183, -184, -185, -184, -185, -184, -183, -184, 
##     -187, -186, -186, -183, -186, -185, -186, -182, -187, -186, 
##     -183, -184, -185, -184, -183, -184, -183, -184, -182, -181, 
##     -184, -182, -182, -180, -176, -176, -176, -180, -179, -180, 
##     -178, -181, -183, -182, -183, -183, -184, -184, -182, -183, 
##     -184, -183, -185, -184, -181, -181, -181, -181, -180, -179, 
##     -177, -180, -181, -182, -181, -179, -178, -179, -177, -175, 
##     -177, -176, -177, -175, -177, -177, -180, -181, -179, -180, 
##     -186, -184, -183, -185, -183, -182, -179, -183, -181, -177, 
##     -176, -175, -175, -171, -167, -166, -174, -173, -175, -174, 
##     -177, -177, -178, -177, -180, -180, -178, -179, -180, -180, 
##     -180, -181, -177, -178, -178, -177, -175, -176, -179, -177, 
##     -174, -171, -173, -172, -176, -178, -175, -171, -172, -174, 
##     -176, -175, -173, -177, -179, -175, -177, -180, -177, -179, 
##     -182, -180, -180, -180, -177, -179, -177, -179, -178, -176, 
##     -176, -177, -173, -170, -169, -168, -172, -175, -175, -175, 
##     -176, -174, -175, -174, -175, -178, -176, -177, -177, -177, 
##     -180, -180, -179, -178, -180, -180, -182, -177, -179, -177, 
##     -179, -180, -176, -177, -177, -174, -169, -172, -172, -175, 
##     -175, -177, -175, -174, -176, -177, -178, -177, -178, -175, 
##     -179, -178, -178, -175, -177, -177, -177, -174, -174, -174, 
##     -177, -172, -173, -175, -173, -173, -173, -178, -172, -171, 
##     -173, -175, -172, -172, -173, -172, -172, -175, -174, -172, 
##     -173, -169, -171, -173, -173, -174, -173, -174, -176, -174, 
##     -178, -177, -177, -178, -178, -173, -173, -169, -169, -165, 
##     -166, -170, -172, -172, -172, -174, -173, -175, -176, -175, 
##     -180, -176, -178, -179, -177, -172, -176, -176, -176, -175, 
##     -175, -176, -175, -175, -175, -173, -177, -174, -172, -173, 
##     -172, -173, -174, -173, -174, -174, -173, -173, -175, -174, 
##     -175, -177, -176, -178, -179, -178, -180, -175, -175, -176, 
##     -177, -176, -173, -174, -174, -171, -173, -177, -173, -171, 
##     -168, -172, -173, -173, -176, -172, -169, -174, -174, -174, 
##     -177, -177, -176, -172, -175, -177, -176, -176, -176, -175, 
##     -171, -171, -171, -172, -169, -167, -165, -166, -165, -170, 
##     -171, -174, -175, -175, -172, -175, -177, -175, -173, -171, 
##     -170, -170, -169, -171, -169, -169, -174, -173, -171, -172, 
##     -170, -169, -170, -172, -170, -169, -173, -174, -172, -176, 
##     -177, -176, -176, -177, -177, -180, -176, -172, -172, -175, 
##     -173, -174, -172, -171, -170, -170, -171, -172, -171, -173, 
##     -170, -169, -171, -172, -170, -172, -173, -173, -172, -173, 
##     -174, -174, -176, -176, -178, -180, -177, -177, -175, -174, 
##     -177, -175, -171, -171, -169, -175, -174, -170, -171, -167, 
##     -171, -172, -171, -171, -170, -172, -173, -175, -177, -177, 
##     -175, -175, -178, -176, -177, -171, -169, -171, -172, -172, 
##     -170, -175, -175, -176, -173, -174, -177, -178, -178, -178, 
##     -178, -175, -179, -176, -176, -182, -175, -179, -179, -178, 
##     -178, -178, -180, -179, -179, -179, -176, -178, -178, -178, 
##     -178, -157, -159, -159, -160, -158, -158, -160, -157, -164, 
##     -166, -163, -169, -163, -162, -165, -159, -163, -164, -168, 
##     -168, -165, -170, -171, -168, -169, -168, -172, -170, -172, 
##     -170, -172, -172, -175, -172, -173, -172, -172, -170, -172, 
##     -174, -174, -174, -175, -173, -174, -175, -175, -174, -173, 
##     -174, -170, -172, -171, -170, -171, -173, -171, -171, -173, 
##     -171, -171, -173, -171, -172, -173, -174, -175, -173, -173, 
##     -174, -174, -174, -172, -173, -171, -170, -172, -171, -174, 
##     -172, -170, -171, -170, -168, -170, -170, -169, -169, -168, 
##     -168, -168, -167, -167, -169, -167, -167, -168, -167, -169, 
##     -168, -166, -167, -167, -165, -165, -165, -166, -166, -168, 
##     -166, -163, -164, -164, -163, -162, -166, -163, -162, -163, 
##     -164, -164, -166, -166, -167, -164, -165, -166, -163, -166, 
##     -165, -168, -164, -167, -165, -166, -166, -165, -166, -164, 
##     -164, -166, -165, -165, -166, -164, -165, -163, -163, -166, 
##     -164, -167, -166, -167, -165, -167, -165, -165, -168, -167, 
##     -167, -165, -166, -165, -167, -164, -167, -166, -166, -165, 
##     -166, -168, -166, -167, -166, -170, -169, -169, -167, -168, 
##     -166, -167, -164, -166, -167, -166, -166, -166, -164, -166, 
##     -165, -166, -167, -165, -166, -162, -164, -166, -165, -164, 
##     -162, -159, -160, -164, -166, -166, -163, -164, -164, -165, 
##     -164, -165, -162, -165, -163, -167, -159, -163, -161, -161, 
##     -159, -160, -160, -161, -159, -159, -156, -156, -160, -161, 
##     -160, -157, -157, -163, -166, -163, -164, -163, -164, -162, 
##     -162, -163, -162, -164, -161, -162, -163, -164, -164, -167, 
##     -165, -165, -163, -157, -161, -173, -155, -158, -158, -158, 
##     -158, -156, -158, -158, -159, -160, -159, -158, -157, -156, 
##     -157, -158, -157, -157, -157, -155, -155, -160, -161, -160, 
##     -163, -162, -162, -160, -158, -157, -153, -159, -165, -167, 
##     -177, -154, -153, -149, -161, -157, -156, -155, -156, -156, 
##     -157, -158, -158, -157, -158, -160, -159, -158, -158, -159, 
##     -157, -160, -159, -161, -160, -159, -159, -160, -158, -158, 
##     -160, -160, -158, -160, -159, -159, -160, -164, -163, -160, 
##     -160, -161, -163, -171, -171, -171, -167, -163, -156, -155, 
##     -159, -160, -160, -161, -160, -160, -161, -161, -159, -159, 
##     -160, -160, -159, -161, -160, -162, -161, -163, -160, -162, 
##     -161, -161, -162, -163, -161, -160, -162, -161, -167, -163, 
##     -164, -164, -164, -173, -171, -168, -174, -175, -179, -174, 
##     -171, -171, -175, -174, -175, -177, -172, -175, -175, -162, 
##     -161, -162, -163, -162, -160, -159, -160, -159, -156, -154, 
##     -155, -156, -157, -157, -155, -154, -154, -154, -155, -155, 
##     -154, -156, -152, -153, -151, -151, -151, -151, -153, -153, 
##     -153, -153, -157, -157, -155, -157, -156, -157, -158, -156, 
##     -154, -153, -155, -152, -151, -152, -150, -151, -151, -152, 
##     -152, -151, -152, -154, -155, -156, -156, -156, -157, -156, 
##     -156, -157, -157, -160, -159, -156, -158, -158, -157, -157, 
##     -158, -157, -156, -157, -157, -157, -156, -156, -155, -156, 
##     -155, -156, -157, -157, -159, -159, -157, -156, -156, -158, 
##     -157, -156, -158, -156, -158, -156, -155, -158, -159, -157, 
##     -158, -159, -159, -158, -156, -158, -156, -154, -155, -156, 
##     -158, -157, -155, -153, -157, -155, -156, -157, -156, -155, 
##     -158, -158, -158, -157, -157, -157, -157, -156, -156, -156, 
##     -156, -155, -157, -156, -157, -157, -157, -157, -156, -157, 
##     -155, -156, -156, -157, -156, -158, -157, -157, -157, -158, 
##     -157, -157, -158, -157, -155, -157, -156, -158, -157, -159, 
##     -158, -159, -159, -159, -160, -159, -158, -159, -157, -157, 
##     -159, -157, -156, -156, -156, -155, -155, -155, -156, -157, 
##     -158, -157, -155, -155, -157, -156, -158, -157, -159, -155, 
##     -156, -157, -156, -159, -155, -157, -156, -157, -158, -158, 
##     -158, -158, -158, -158, -156, -157, -156, -157, -158, -159, 
##     -158, -158, -159, -158, -159, -158, -159, -160, -158, -155, 
##     -156, -154, -157, -155, -154, -156, -156, -154, -156, -156, 
##     -156, -155, -155, -156, -155, -156, -155, -155, -156, -158, 
##     -159, -158, -157, -157, -158, -157, -156, -156, -155, -156, 
##     -157, -157, -156, -155, -156, -158, -157, -158, -157, -156, 
##     -156, -157, -158, -158, -158, -157, -157, -156, -156, -156, 
##     -156, -157, -156, -156, -157, -158, -158, -159, -160, -158, 
##     -158, -159, -157, -157, -157, -155, -158, -155, -156, -155, 
##     -156, -157, -156, -156, -154, -154, -155, -155, -155, -156, 
##     -155, -156, -157, -158, -157, -157, -159, -157, -157, -156, 
##     -158, -158, -160, -160, -160, -159, -159, -159, -159, -160, 
##     -158, -158, -159, -157, -158, -157, -157, -156, -158, -158, 
##     -157, -156, -157, -157, -157, -159, -158, -159, -157, -159, 
##     -160, -158, -158, -157, -158, -157, -157, -158, -158, -158, 
##     -159, -160, -160, -160, -160, -158, -160, -158, -159, -158, 
##     -160, -156, -155, -156, -157, -156, -157, -156, -156, -156, 
##     -157, -156, -157, -157, -156, -157, -158, -156, -156, -156, 
##     -155, -156, -156, -157, -156, -156, -157, -156, -157, -157, 
##     -156, -156, -155, -158, -158, -157, -159, -157, -158, -157, 
##     -158, -157, -156, -157, -157, -157, -158, -157, -158, -157, 
##     -158, -157, -157, -158, -156, -157, -156, -157, -157, -156, 
##     -156, -158, -158, -159, -157, -158, -158, -158, -157, -157, 
##     -157, -159, -157, -156, -160, -160, -159, -160, -160, -160, 
##     -159, -159, -157, -158, -157, -159, -159, -156, -157, -159, 
##     -158, -156, -158, -158, -156, -158, -156, -157, -155, -156, 
##     -158, -156, -157, -156, -157, -157, -159, -157, -156, -158, 
##     -156, -158, -157, -158, -158, -158, -158, -158, -158, -159, 
##     -159, -158, -159, -159, -158, -157, -155, -155, -155, -153, 
##     -154, -156, -157, -157, -158, -156, -154, -155, -155, -156, 
##     -154, -154, -154, -154, -157, -157, -155, -156, -159, -159, 
##     -156, -158, -158, -159, -161, -161, -160, -160, -158, -158, 
##     -158, -159, -159, -159, -159, -157, -158, -156, -158, -158, 
##     -157, -156, -157, -158, -158, -157, -158, -157, 26, 28, 28, 
##     28, 32, 29, 31, 32, 33, 32, 31, 30, 31, 30, 32, 32, 29, 30, 
##     29, 28, 29, 27, 28, 26, 27, 27, 26, 25, 26, 26, 27, 28, 27, 
##     26, 28, 26, 28, 29, 27, 28, 28, 27, 28, 30, 30, 29, 30, 30, 
##     29, 30, 30, 30, 30, 31, 30, 28, 29, 30, 27, 27, 26, 27, 28, 
##     28, 27, 27, 25, 26, 27, 27, 28, 29, 29, 29, 29, 29, 31, 31, 
##     30, 29, 27, 27, 28, 28, 28, 28, 29, 28, 29, 27, 28, 29, 28, 
##     30, 30, 31, 29, 28, 28, 28, 27, 24, 23, 22, 23, 22, 25, 21, 
##     23, 21, 21, 26, 29, 31, 31, 30, 30, 30, 28, 29, 28, 29, 28, 
##     26, 24, 24, 24, 24, 21, 22, 22, 18, 23, 21, 22, 23, 21, 27, 
##     26, 27, 27, 28, 23, 24, 26, 30, 28, 29, 27, 28, 28, 28, 29, 
##     28, 30, 31, 30, 29, 30, 28, 28, 28, 29, 28, 27, 27, 25, 21, 
##     26, 24, 25, 22, 20, 22, 23, 24, 24, 22, 24, 24, 29, 30, 30, 
##     30, 30, 28, 28, 26, 26, 25, 26, 24, 25, 27, 27, 25, 25, 26, 
##     23, 23, 24, 25, 19, 23, 27, 28, 27, 27, 24, 24, 25, 24, 25, 
##     26, 24, 28, 27, 31, 28, 29, 32, 32, 34, 31, 33, 31, 31, 32, 
##     31, 30, 31, 29, 30, 31, 28, 28, 30, 27, 26, 26, 26, 26, 23, 
##     24, 25, 24, 25, 25, 27, 26, 27, 26, 25, 27, 29, 29, 29, 29, 
##     29, 29, 30, 28, 22, 21, 24, 24, 25, 23, 25, 26, 29, 27, 27, 
##     29, 29, 30, 29, 30, 32, 29, 28, 28, 28, 23, 25, 24, 22, 25, 
##     23, 23, 25, 22, 25, 26, 24, 23, 24, 24, 28, 27, 28, 27, 29, 
##     29, 29, 30, 29, 29, 29, 27, 26, 28, 27, 30, 29, 29, 28, 30, 
##     29, 28, 27, 29, 27, 26, 29, 28, 28, 23, 25, 23, 22, 22, 22, 
##     22, 19, 23, 22, 20, 20, 23, 23, 25, 25, 26, 28, 27, 29, 30, 
##     30, 30, 30, 31, 30, 28, 27, 30, 25, 24, 21, 22, 19, 19, 18, 
##     18, 18, 19, 21, 24, 21, 21, 21, 24, 24, 24, 27, 28, 26, 27, 
##     28, 28, 28, 28, 31, 29, 30, 28, 29, 30, 28, 27, 26, 28, 27, 
##     26, 27, 28, 23, 22, 21, 23, 22, 25, 25, 23, 24, 25, 26, 25, 
##     25, 25, 27, 30, 32, 32, 32, 31, 27, 29, 29, 29, 28, 25, 23, 
##     21, 22, 22, 21, 20, 22, 20, 21, 21, 21, 21, 21, 22, 24, 25, 
##     28, 26, 23, 25, 25, 25, 30, 29, 30, 28, 29, 30, 29, 28, 29, 
##     28, 27, 28, 25, 27, 28, 28, 29, 29, 27, 28, 28, 28, 28, 29, 
##     28, 28, 29, 27, 26, 28, 27, 27, 28, 27, 28, 28, 29, 28, 29, 
##     27, 26, 28, 28, 27, 29, 28, 27, 27, 26, 27, 27, 28, 26, 27, 
##     27, 28, 28, 27, 27, 29, 29, 28, 28, 29, 27, 26, 27, 28, 27, 
##     26, 28, 27, 23, 22, 19, 18, 19, 20, 15, 20, 21, 20, 23, 21, 
##     24, 24, 26, 30, 30, 31, 32, 31, 29, 27, 22, 22, 24, 24, 20, 
##     17, 19, 17, 20, 20, 18, 23, 17, 16, 17, 18, 15, 19, 21, 21, 
##     22, 24, 24, 23, 27, 26, 28, 27, 29, 29, 31, 22, 21, 21, 23, 
##     17, 15, 14, 14, 15, 13, 17, 19, 22, 24, 23, 22, 22, 24, 27, 
##     28, 28, 29, 28, 28, 28, 29, 29, 25, 23, 24, 23, 43, 44, 45, 
##     42, 45, 45, 46, 46, 45, 43, 45, 45, 45, 45, 45, 43, 44, 46, 
##     46, 44, 44, 43, 43, 46, 45, 45, 45, 44, 45, 43, 40, 46, 43, 
##     43, 42, 42, 42, 48, 43, 40, 42, 44, 43, 44, 44, 42, 44, 42, 
##     40, 44, 44, 46, 43, 45, 44, 43, 43, 41, 43, 43, 44, 42, 44, 
##     43, 43, 43, 42, 42, 43, 41, 42, 42, 43, 42, 42, 44, 44, 40, 
##     43, 41, 42, 40, 42, 43, 42, 41, 45, 43, 40, 42, 41, 43, 40, 
##     42, 39, 40, 40, 41, 40, 41, 40, 42, 40, 40, 41, 40, 41, 42, 
##     39, 40, 40, 40, 40, 40, 39, 42, 40, 38, 39, 42, 42, 43, 42, 
##     45, 42, 40, 41, 41, 34, 34, 38, 36, 37, 40, 40, 40, 37, 40, 
##     41, 40, 43, 45, 45, 42, 46, 45, 47, 43, 42, 45, 45, 41, 42, 
##     43, 43, 44, 42, 45, 46, 46, 42, 43, 45, 47, 42, 45, 44, 44, 
##     43, 45, 44, 43, 43, 40, 42, 39, 44, 41, 45, 44, 40, 44, 44, 
##     44, 46, 44, 41, 44, 44, 47, 44, 41, 42, 40, 44, 39, 42, 41, 
##     45, 45, 46, 46, 45, 45, 46, 45, 44, 45, 45, 45, 45, 45, 47, 
##     50, 46, 44, 46, 46, 42, 43, 46, 43, 41, 42, 47, 48, 42, 42, 
##     47, 42, 42, 42, 43, 44, 44, 43, 42, 43, 42, 41, 40, 43, 43, 
##     41, 42, 43, 42, 46, 45, 43, 44, 43, 42, 44, 43, 45, 44, 44, 
##     45, 41, 43, 48, 48, 44, 42, 46, 48, 42, 40, 40, 42, 44, 46, 
##     46, 49, 50, 45, 42, 38, 44, 53, 40, 35, 36, 46, 46, 52, 51, 
##     51, 47, 47, 49, 49, 39, 35, 40, 46, 43, 42, 48, 49, 48, 44, 
##     45, 44, 44, 46, 48, 42, 44, 45, 45, 44, 46, 46, 46, 44, 46, 
##     45, 45, 45, 44, 45, 43, 42, 42, 44, 42, 47, 44, 43, 45, 45, 
##     44, 46, 45, 45, 43, 44, 45, 46, 46, 45, 45, 45, 44, 45, 44, 
##     44, 46, 43, 41, 46, 47, 27, 27, 27, 27, 25, 25, 23, 27, 25, 
##     25, 23, 24, 24, 26, 24, 22, 25, 23, 19, 20, 22, 21, 23, 23, 
##     22, 26, 20, 24, 26, 27, 24, 25, 31, 26, 22, 23, 26, 27, 25, 
##     25, 28, 26, 28, 27, 28, 32, 28, 26, 26, 25, 25, 28, 27, 23, 
##     24, 25, 25, 21, 24, 21, 26, 25, 25, 26, 24, 26, 29, 30, 26, 
##     25, 22, 28, 26, 26, 29, 29, 27, 27, 25, 25, 24, 22, 23, 23, 
##     22, 25, 22, 20, 20, 22, 23, 20, 23, 20, 18, 21, 23, 19, 19, 
##     19, 19, 18, 21, 24, 25, 20, 23, 25, 22, 25, 22, 21, 21, 24, 
##     24, 25, 23, 23, 22, 18, 20, 23, 20, 21, 19, 19, 20, 21, 23, 
##     21, 22, 20, 25, 19, 22, 23, 23, 24, 25, 24, 25, 28, 27, 25, 
##     28, 22, 23, 22, 23, 22, 19, 25, 18, 21, 19, 19, 19, 16, 21, 
##     16, 21, 19, 16, 20, 19, 24, 23, 25, 26, 25, 23, 26, 22, 24, 
##     25, 23, 21, 21, 22, 21, 21, 21, 17, 16, 18, 18, 15, 15, 18, 
##     20, 22, 22, 22, 21, 19, 20, 19, 20, 21, 24, 23, 24, 27, 29, 
##     27, 25, 24, 22, 22, 23, 24, 25, 22, 21, 21, 19, 24, 18, 20, 
##     23, 19, 20, 20, 19, 20, 22, 19, 22, 25, 22, 22, 25, 25, 21, 
##     21, 29, 23, 29, 26, 25, 26, 32, 30, 26, 23, 25, 24, 22, 21, 
##     21, 19, 22, 25, 26, 28, 22, 21, 20, 25, 23, 19, 20, 21, 21, 
##     21, 22, 31, 24, 26, 21, 24, 24, 22, 24, 25, 28, 23, 23, 22, 
##     23, 19, 18, 18, 19, 24, 21, 21, 20, 31, 23, 26, 25, 28, 26, 
##     23, 25, 28, 23, 27, 30, 28, 26, 28, 29, 30, 29, 26, 25, 25, 
##     22, 22, 22, 23, 22, 23, 26, 27, 24, 24, 25, 27, 24, 20, 20, 
##     23, 29, 24, 24, 22, 23, 27, 24, 21, 19, 22, 18, 19, 26, 23, 
##     18, 26, 23, 22, 24, 26, 24, 24, 23, 23, 23, 24, 26, 24, 25, 
##     28, 31, 24, 27, 28, 26, 28, 28, 24, 27, 24, 21, 19, 22, 22, 
##     20, 25, 21, 26, 24, 27, 24, 25, 22, 25, 33, 28, 31, 26, 22, 
##     26, 27, 24, 25, 26, 24, 23, 23, 23, 24, 23, 23, 21, 24, 22, 
##     20, 23, 21, 24, 25, 25, 26, 26, 24, 27, 28, 26, 27, 29, 29, 
##     30, 29, 29, 26, 26, 28, 31, 28, 26, 25, 26, 24, 23, 23, 22, 
##     23, 22, 25, 24, 24, 28, 25, 24, 28, 21, 25, 29, 30, 32, 24, 
##     27, 24, 22, 18, 23, 24, 24, 27, 24, 26, 21, 23, 25, 26, 24, 
##     23, 25, 25, 24, 27, 33, 29, 24, 19, 18, 22, 21, 24, 23, 20, 
##     18, 20, 20, 19, 19, 23, 22, 19, 20, 22, 20, 22, 24, 24, 20, 
##     26, 24, 23, 26, 26, 30, 25, 27, 28, 27, 30, 31, 29, 30, 30, 
##     30, 28, 30, 28, 25, 28, 22, 20, 21, 21, 22, 21, 23, 21, 22, 
##     22, 24, 23, 20, 20, 21, 23, 24, 24, 24, 26, 21, 21, 23, 28, 
##     24, 22, 21, 25, 22, 22, 22, 21, 24, 22, 22, 21, 21, 24, 22, 
##     22, 20, 23, 17, 17, 16, 25, 24, 23, 27, 28, 28, 24, 23, 28, 
##     28, 30, 27, 28, 30, 30, 29, 27, 28, 27, 26, 25, 26, 24, 27, 
##     27, 26, 25, 25, 27, 26, 27, 27, 27, 26, 27, 26, 26, 25, 25, 
##     27, 25, 26, 24, 26, 26, 28, 26, 28, 27, 28, 28, 29, 28, 29, 
##     27, 28, 28, 28, 27, 30, 30, 29, 28, 28, 30, 29, 26, 27, 29, 
##     28, 28, 28, 26, 29, 26, 28, 27, 27, 28, 27, 25, 24, 26, 41, 
##     49, 47, 46, 45, 45, 48, 46, 46, 41, 46, 43, 45, 43, 44, 44, 
##     43, 44, 46, 45, 43, 45, 46, 46, 43, 44, 44, 45, 47, 45, 47, 
##     44, 45, 45, 48, 47, 46, 47, 48, 45, 47, 45, 45, 46, 44, 45, 
##     47, 46, 46, 45, 47, 46, 47, 46, 45, 44, 47, 47, 48, 46, 50, 
##     45, 48, 47, 46, 44, 47, 43, 44, 46, 49, 46, 47, 47, 45, 48, 
##     45, 43, 48, 47, 47, 50, 39, 47, 46, 43, 47, 47, 45, 48, 49, 
##     45, 46, 44, 48, 43, 42, 42, 44, 48, 50, 52, 48, 46, 45, 47, 
##     40, 43, 45, 48, 46, 48, 44, 48, 46, 46, 46, 44, 46, 44, 46, 
##     48, 46, 45, 44, 44, 45, 48, 47, 48, 42, 46, 51, 48, 45, 47, 
##     48, 49, 48, 43, 41, 52, 45, 47, 46, 46, 43, 49, 45, 45, 48, 
##     46, 46, 47, 47, 49, 47, 44, 43, 47, 47, 46, 48, 44, 45, 46, 
##     45, 45, 45, 45, 48, 44, 46, 43, 45, 41, 45, 44, 42, 42, 42, 
##     42, 46, 46, 46, 44, 45, 43, 45, 46, 46, 45, 43, 45, 44, 47, 
##     47, 44, 43, 44, 44, 42, 44, 45, 44, 44, 42, 46, 44, 41, 45, 
##     41, 40, 40, 45, 41, 41, 43, 39, 44, 45, 42, 42, 43, 38, 37, 
##     38, 32, 36, 34, 40, 42, 41, 42, 39, 40, 41, 38, 41, 40, 40, 
##     35, 36, 37, 37, 39, 39, 38, 42, 37, 39, 33, 36, 35, 37, 39, 
##     36, 36, 38, 37, 34, 39, 35, 33, 40, 33, 31, 37, 40, 37, 37, 
##     36, 40, 39, 40, 38, 38, 43, 40, 43, 45, 38, 44, 39, 41, 39, 
##     36, 36, 36, 35, 37, 37, 39, 39, 41, 38, 37, 41, 45, 39, 41, 
##     38, 41, 38, 38, 37, 40, 40, 36, 34, 40, 40, 39, 32, 37, 34, 
##     32, 36, 35, 34, 37, 42, 39, 36, 37, 37, 45, 38, 39, 41, 43, 
##     42, 40, 39, 38, 37, 37, 38, 37, 36, 34, 34, 36, 34, 32, 39, 
##     39, 36, 37, 37, 39, 39, 38, 40, 41, 37, 39, 35, 35, 36, 36, 
##     36, 33, 36, 36, 35, 35, 36, 34, 33, 35, 39, 53, 31, 51, 29, 
##     35, 38, 33, 41, 43, 41, 41, 41, 40, 36, 34, 32, 31, 39, 38, 
##     32, 38, 38, 38, 38, 39, 42, 41, 40, 40, 35, 36, 32, 31, 35, 
##     29, 31, 34, 30, 31, 32, 31, 33, 31, 34, 41, 44, 43, 42, 37, 
##     40, 38, 38, 40, 37, 35, 34, 36, 40, 37, 38, 33, 38, 33, 37, 
##     36, 39, 33, 36, 36, 36, 37, 41, 36, 40, 36, 34, 30, 36, 38, 
##     32, 35, 32, 31, 32, 36, 37, 39, 35, 38, 40, 44, 40, 41, 39, 
##     42, 36, 36, 39, 36, 37, 33, 34, 36, 35, 36, 35, 33, 35, 34, 
##     34, 34, 34, 36, 38, 38, 41, 40, 36, 36, 37, 38, 37, 36, 36, 
##     36, 39, 36, 35, 34, 34, 36, 33, 35, 33, 40, 38, 35, 35, 36, 
##     38, 40, 43, 43, 48, 40, 41, 41, 42, 43, 40, 42, 40, 41, 38, 
##     38, 41, 38, 38, 41, 40, 45, 42, 41, 44, 44, 40, 40, 41, 42, 
##     43, 42, 40, 42, 37, 41, 40, 42, 38, 41, 41, 41, 39, 46, 46, 
##     49, 51, 49, 46, 43, 48, 50, 49, 50, 51, 49, 50, 49, 53, 54, 
##     49, 49, 50, 49, 45, 45, 47, 46, 42, 47, 46, 49, 45, 40, 46, 
##     46, 45, 44, 47, 49, 47, 47, 46, 48, 46, 48, 51, 44, 43, 42, 
##     42, 42, 42, 43, 40, 40, 43, 43, 42, 40, 45, 42, 46, 42, 41, 
##     44, 47, 45, 45, 45, 46, 47, 47, 49, 49, 46, 43, 43, 47, 42, 
##     41, 41, 40, 42, 39, 40, 41, 39, 44, 43, 42, 46, 46, 41, 37, 
##     40, 33, 36, 36, 38, 36, 35, 38, 38, 42, 41, 44, 39, 36, 39, 
##     41, 39, 47, 52, 51, 51, 50, 44, 48, 50, 48, 46, 45, 42, 42, 
##     38, 37, 40, 40, 37, 37, 33, 38, 37, 41, 38, 44, 44, 41, 41, 
##     38, 38, 38, 40, 41, 39, 41, 40, 41, 42, 40, 43, 38, 41, 35, 
##     39, 38, 37, 42, 43, 44, 41, 35, 35, 38, 40, 37, 36, 45, 45, 
##     41, 43, 41, 33, 36, 37, 39, 41, 39, 38, 39, 38, 35, 41, 41, 
##     36, 39, 38, 35, 39, 38, 38, 39, 37, 41, 39, 39, 38, 40, 41, 
##     41, 40, 42, 40, 42, 39, 43, 39, 42, 39, 43, 39, 42, 43, 40, 
##     43, 40, 41, 44, 38, 29, 30, 30, 31, 29, 28, 28, 28, 30, 27, 
##     28, 29, 28, 26, 27, 28, 28, 28, 26, 29, 29, 27, 28, 30, 30, 
##     28, 30, 28, 26, 29, 28, 31, 30, 29, 30, 31, 28, 30, 29, 30, 
##     31, 30, 31, 30, 31, 32, 31, 30, 28, 29, 29, 29, 27, 27, -156, 
##     -156, -157, -157, -157, -157, -157, -156, -156, -156, -157, 
##     -158, -158, -155, -157, -156, -156, -155, -155, -156, -156, 
##     -158, -158, -157, -156, -157, -157, -159, -157, -158, -159, 
##     -158, -158, -160, -157, -159, -158, -158, -158, -158, -158, 
##     -159, -160, -159, -159, -160, -158, -158, -158, -158, -157, 
##     -161, -160, -161, -159, -159, -160, -158, -159, -158, -159, 
##     -159, -159, -158, -158, -158, -156, -157, -157, -158, -156, 
##     -157, -155, -158, -158, -157, -155, -155, -157, -157, -154, 
##     -154, -155, -154, -156, -155, -155, -154, -155, -156, -154, 
##     -154, -155, -156, -157, -156, -156, -157, -157, -157, -157, 
##     -158, -155, -153, -152, -155, -153, -155, -157, -157, -158, 
##     -158, -159, -154, -157, -157, -157, -157, -157, -152, -155, 
##     -157, -156, -157, -155, -156, -157, -157, -157, -158, -157, 
##     -155, -155, -156, -155, -153, -157, -156, -156, -157, -156, 
##     -157, -157, -158, -157, -158, -156, -155, -154, -156, -155, 
##     -155, -155, -154, -155, -155, -154, -155, -171, -172, -167, 
##     -164, -166, -163, -167, -165, -167, -168, -169, -169, -167, 
##     -168, -166, -167, -167, -170, -167, -167, -167, -166, -168, 
##     -166, -167, -166, -168, -169, -167, -171, -156, -145, -144, 
##     -156, -158, -152, -162, -174, -175, -175, -179, -181, -181, 
##     -161, -159, -159, -160, -158, -157, -149, -156, -156, -157, 
##     -160, -159, -158, -157, -157, -160, -159, -159, -159, -157, 
##     -159, -156, -157, -158, -159, -160, -156, -156, -157, -158, 
##     -157, -159, -158, -154, -159, -156, -156, -158, -158, -157, 
##     -160, -157, -161, -173, -163, -163, -157, -156, -153, -157, 
##     -160, -160, -161, -161, -160, -160, -155, -157, -159, -157, 
##     -156, -158, -157, -158, -156, -155, -155, -154, -154, -153, 
##     -159, -164, -164, -150, -153, -158, -157, -155, -151, -153, 
##     -154, -157, -155, -158, -158, -158, -155, -154, -154, -157, 
##     -156, -155, -154, -154, -156, -157, -147, -150, -155, -150, 
##     -154, -152, -152, -151, -153, -147, -161, -155, -150, -157, 
##     -157, -155, -157, -155, -153, -155, -157, -155, -154, -153, 
##     -155, -153, -154, -156, -155, -154, -151, -156, -157, -153, 
##     -155, -157, -154, -154, -159, -156, -154, -158, -157, -155, 
##     -153, -158, -157, -156, -154, -157, -154, -155, -158, -159, 
##     -156, -157, -158, -158, -159, -158, -159, -158, -159, -158, 
##     -159, -158, -160, -160, -159, -158, -157, -158, -158, -157, 
##     -157, -159, -154, -153, -156, -153, -154, -157, -156, -153, 
##     -156, -158, -159, -159, -160, -160, -163, -162, -157, -165, 
##     -162, -156, -161, -161, -158, -159, -161, -159, -157, -157, 
##     -157, -153, -158, -158, -158, -159, -160, -159, -160, -160, 
##     -160, -165, -163, -157, -163, -162, -156, -161, -160, -164, 
##     -160, -158, -159, -159, -158, -163, -159, -160, -160, -161, 
##     -161, -159, -163, -157, -157, -158, -160, -157, -158, -154, 
##     -154, -152, -154, -156, -156, -157, -155, -158, -156, -156, 
##     -160, -162, -157, -154, -158, -160, -160, -161, -160, -159, 
##     -164, -160, -157, -157, -159, -165, -163, -162, -165, -165, 
##     -156, -160, -161, -161, -161, -160, -158, -160, -161, -158, 
##     -159, -160, -162, -159, -160, -158, -158, -158, -158, -158, 
##     -157, -154, -162, -163, -161, -159, -160, -160, -159, -158, 
##     -160, -156, -163, -158, -162, -161, -163, -160, -160, -163, 
##     -160, -163, -159, -161, -162, -161, -163, -158, -157, -160, 
##     -161, -160, -159, -159, -159, -159, -160, -159, -160, -160, 
##     -162, -161, -164, -160, -160, -162, -163, -163, -162, -161, 
##     -161, -158, -166, -163, -161, -159, -157, -161, -160, -163, 
##     -157, -157, -159, -155, -158, -158, -158, -159, -159, -158, 
##     -159, -158, -158, -158, -160, -160, -160, -160, -160, -159, 
##     -158, -157, -162, -160, -160, -161, -159, -164, -161, -160, 
##     -163, -164, -158, -162, -167, -166, -166, -165, -163, -163, 
##     -166, -170, -167, -162, -161, -163, -163, -162, -163, -162, 
##     -160, -161, -158, -161, -159, -158, -159, -158, -159, -158, 
##     -158, -159, -161, -160, -164, -160, -154, -161, -161, -160, 
##     -162, -159, -157, -159, -161, -158, -161, -161, -159, -158, 
##     -161, -163, -170, -165, -165, -167, -167, -165, -167, -163, 
##     -163, -163, -164, -160, -161, -159, -160, -160, -161, -161, 
##     -157, -161, -160, -165, -163, -161, -159, -163, -160, -161, 
##     -161, -160, -161, -162, -165, -162, -169, -168, -169, -161, 
##     -172, -176, -177, -170, -163, -161, -164, -160, -159, -160, 
##     -163, -158, -160, -161, -166, -161, -164, -160, -155, -157, 
##     -161, -161, -162, -160, -163, -165, -163, -164, -164, -169, 
##     -163, -161, -164, -162, -163, -163, -164, -164, -160, -159, 
##     -162, -156, -156, -154, -159, -158, -157, -156, -156, -152, 
##     -154, -161, -162, -164, -171, -161, -159, -159, -159, -163, 
##     -158, -158, -161, -159, -159, -158, -158, -156, -158, -157, 
##     -157, -156, -155, -154, -154, -147, -149, -151, -152, -150, 
##     -155, -153, -148, -151, -152, -152, -149, -151, -158, -154, 
##     -158, -159, -158, -159, -157, -157, -155, -156, -157, -157, 
##     -159, -159, -160, -160, -158, -156, -165, -159, -160, -159, 
##     -160, -160, -161, -159, -157, -160, -160, -159, -158, -160, 
##     -160, -159, -154, -166, -165, -160, -159, -165, -160, -157, 
##     -161, -159, -162, -160, -158, -167, -165, -161, -164, -163, 
##     -155, -160, -160, -158, -159, -160, -155, -157, -159, -159, 
##     -157, -158, -161, -161, -161, -160, -162, -161, -159, -161, 
##     -157, -157, -161, -159, -159, -159, -163, -163, -167, -166, 
##     -166, -168, -164, -161, -171, -163, -163, -162, -163, -161, 
##     -166, -161, -161, -162, -161, -164, -160, -162, -163, -163, 
##     -163, -158, -162, -164, -166, -162, -162, -163, -162, -165, 
##     -166, -161, -162, -164, -161, -162, -161, -159, -158, -158, 
##     -161, -159, -158, -159, -155, -158, -160, -159, -157, -157, 
##     -157, -157, -157, -159, -159, -157, -158, -158, -157, -156, 
##     -157, -157, -157, -157, -157, -158, -160, -156, -157, -159, 
##     -158, -158, -156, -158, -161, -159, -160, -162, -160, -158, 
##     -159, -160, -160, -161, -158, -159, -158, -159, -158, -159, 
##     -159, -158, -157, -157, -160, -160, -159, -160, -160, -157, 
##     -159, -160, -158, -158, -157, -159, -160, -158, -159, -160, 
##     -158, -158, -158, -159, -157, -157, -157, -158, -159, -160, 
##     -158, -160, -160, -158, -158, -158, -158, -160, -158, -158, 
##     -159, -159, -159, -158, -159, -159, -157, -158, -158, -160, 
##     -159, -159, -160, -159, -160, -159, -160, -158, -158, -159, 
##     -159, -158, -159, -160, -158, -158, -157, -159, -158, -158, 
##     -158, -159, -159, -159, -158, -158, -160, -162, -160, -160, 
##     -159, -160, -158, -163, -158, -158, -161, -160, -159, -159, 
##     -161, -161, -161, -161, -162, -162, -163, -160, -161, -162, 
##     -161, -161, -162, -162, -161, -165, -162, -161, -162, -161, 
##     -161, -163, -163, -161, -162, -160, -160, -164, -160, -159, 
##     -159, -160, -163, -163, -161, -160, -157, -159, -159, -163, 
##     -157, -161, -160, -156, -158, -157, -158, -160, -157, -157, 
##     -159, -156, -156, -151, -156, -152, -152, -156, -156, -152, 
##     -155, -160, -159, -153, -155, -155, -151, -154, -156, -154, 
##     -155, -157, -158, -157, -162, -162, -160, -166, -164, -162, 
##     -164, -155, -154, -155, -154, -155, -154, -155, -151, -154, 
##     -152, -155, -155, -152, -155, -153, -154, -155, -168, -171, 
##     -169, -166, -165, -164, -168, -173, -176, -181, -166, -160, 
##     -167, -164, -156, -145, -148, -148, 40, 40, 42, 43, 40, 42, 
##     40, 44, 42, 42, 40, 42, 42, 41, 42, 44, 39, 41, 41, 42, 41, 
##     40, 42, 41, 45, 44, 45, 45, 46, 46, 45, 43, 43, 43, 46, 47, 
##     46, 41, 44, 48, 47, 48, 46, 45, 44, 43, 42, 41, 42, 45, 43, 
##     49, 25, 27, 26, 28, 30, 28, 31, 30, 28, 26, 26, 27, 28, 29, 
##     33, 29, 32, 30, 27, 26, 26, 26, 23, 23, 24, 23, 24, 23, 24, 
##     22, 24, 24, 25, 23, 27, 27, 27, 24, 25, 28, 28, 30, 31, 30, 
##     28, 27, 27, 27, 25, 25, 24, 26, 24, 26, 25, 27, 26, 28, 28, 
##     30, 32, 29, 29, 30, 27, 28, 28, 27, 27, 28, 27, 27, 30, 28, 
##     30, 28, 27, 28, 29, 30, 28, 27, 25, 27, 23, 25, 24, 24, 29, 
##     28, 28, 28, 29, 27, 28, 29, 29, 30, 30, 31, 29, 29, 29, 29, 
##     28, 29, 29, 29, 29, 31, 31, 27, 30, 25, 25, 25, 26, 26, 22, 
##     27, 28, 29, 31, 29, 30, 31, 31, 31, 30, 31, 31, 29, 28, 29, 
##     29, 29, 27, 25, 29, 32, 32, 31, 30, 29, 26, 28, 28, 29, 30, 
##     30, 30, 33, 35, 36, 35, 35, 36, 35, 33, 32, 31, 31, 31, 29, 
##     31, 30, 30, 29, 31, 31, 32, 31, 32, 31, 30, 31, 30, 29, 30, 
##     30, 30, 29, 31, 30, 32, 33, 31, 31, 31, 31, 31, 31, 30, 30, 
##     30, 28, 31, 29, 31, 29, 31, 31, 32, 31, 30, 30, 31, 30, 30, 
##     30, 30, -177, -176, -168, -165, -163, -165, -169, -172, -170, 
##     -170, -172, -173, -178, -174, -168, -172, -175, -174, -168, 
##     -172, -172, -170, -171, -173, -172, -168, -178, -179, -180, 
##     -179, -180, -178, -178, -177, -172, -166, -169, -167, -169, 
##     -174, -174, -177, -181, -175, -176, -172, -172, -168, -171, 
##     -173, -172, -172, -173, -177, -176, -178, -178, -180, -181, 
##     -180, -176, -177, -173, -173, -174, -175, -176, -177, -176, 
##     -177, -180, -178, -179, -179, -177, -178, -180, -177, -176, 
##     -167, -169, -175, -174, -175, -176, -178, -177, -177, -177, 
##     -178, -177, -179, -178, -178, -178, -177, -178, -177, -175, 
##     -174, -174, -173, -174, -177, -176, -175, -173, -172, -174, 
##     -173, -188, -191, 20, 21, 23, 20, 23, 23, 21, 25, 21, 23, 
##     26, 26, 24, 25, 24, 26, 27, 27, 30, 30, 30, 28, 30, 29, 30, 
##     29, 27, 24, 20, 23, 22, -178, -177, -174, -176, -178, -178, 
##     -178, -177, -178, -182, -183, -185, -183, -185, -183, -183, 
##     -182, -183, -183, -179, -172, -171, -172, -169, -172, -169, 
##     -176, -176, -177, -176, -172, -174, -178, -179, -184, -178, 
##     -179, -179, -179, -177, -178, -175, -176, -178, -171, -169, 
##     -170, -168, -171, -169, -169, -169, -169, -170, -170, -169, 
##     -172, -172, -171, -174, -174, -173, -177, -179, -179, -178, 
##     -179, -178, -177, -176, -175, -171, -168, -162, -161, -162, 
##     -166, -170, -173, -172, -172, -170, -174, -166, -168, -171, 
##     -168, -167, -167, -166, -167, -172, -169, -173, -174, -174, 
##     -182, -182, -177, -178, -177, -178, -178, -179, -178, -178, 
##     -176, -176, -178, -175, -166, -161, -160, -161, -167, -173, 
##     -174, -172, -171, -173, -174, -176, -175, -175, -177, -177, 
##     -182, -183, -181, -182, -175, -176, -174, -173, -174, -167, 
##     -166, -170, -171, -168, -161, -163, -166, -166, -169, -171, 
##     -171, -174, -181, -183, -181, -181, -178, -178, -180, -180, 
##     -178, -178, -171, -167, -163, -162, -163, -163, -167, -167, 
##     -167, -167, -169, -175, -178, -183, -183, -183, -181, -178, 
##     -169, -168, -164, -164, -166, -161, -161, -165, -163, -165, 
##     -165, -164, -164, -166, -164, -164, -166, -167, -168, -165, 
##     -170, -170, -170, -169, -176, -174, -177, -177, -177, -177, 
##     -175, -172, -168, -163, -161, -161, -168, -171, -172, -170, 
##     -174, -169, -181, -183, -185, -179, -181, -181, -177, -178, 
##     -168, -166, -170, -170, -170, -166, -165, -163, -161, -162, 
##     -163, -166, -166, -166, -165, -166, -165, -168, -165, -166, 
##     -166, -166, -169, -171, -173, -177, -182, -182, -180, -176, 
##     -168, -166, -169, -166, -168, -168, -171, -167, -166, -166, 
##     -167, -169, -166, -166, -166, -167, -167, -168, -173, -177, 
##     -180, -178, -180, -179, -183, -177, -167, -160, -161, -160, 
##     -161, -164, -169, -170, -169, -173, -170, -171, -170, -173, 
##     -177, -179, -180, -178, -180, -179, -178, -172, -173, -177, 
##     -172, -165, -167, -169, -168, -168, -168, -168, -171, -162, 
##     -161, -161, -164, -162, -161, -159, -163, -164, -163, -168, 
##     -174, -175, -178, -180, -179, -177, -173, -172, -169, -168, 
##     -166, -161, -162, -161, -167, -167, -169, -170, -168, -170, 
##     -180, -182, -179, -176, -170, -164, -164, -165, -164, -170, 
##     -168, -165, -170, -174, -171, -170, -171, -173, -175, -175, 
##     -180, -179, -184, -188, -185, -179, -176, -173, -174, -170, 
##     -169, -166, -166, -168, -165, -162, -164, -164, -162, -164, 
##     -163, -165, -163, -163, -165, -163, -164, -166, -174, -172, 
##     -174, -178, -178, -176, -175, -176, -179, -179, -173, -167, 
##     -161, -160, -166, -167, -170, -168, -170, -171, -180, -181, 
##     -183, -181, -179, -179, -179, -177, -174, -168, -170, -175, 
##     -172, -170, -173, -170, -168, -163, -163, -162, -161, -163, 
##     -164, -165, -166, -164, -167, 28, 27, 26, 18, 18, 20, 17, 
##     18, 19, 18, 17, 20, 16, 15, 17, 18, 17, 29, 29, 30, 27, 28, 
##     26, 25, 27, 26, 18, 17, 19, 17, 16, 17, 18, 17, 15, 16, 13, 
##     13, 12, 15, 16, 18, 22, 23, 24, 25, 25, 25, 23, 27, 23, 24, 
##     26, 24, 28, 26, 30, 30, 31, 29, 28, 25, 26, 28, 29, 28, 30, 
##     29, 30, 28, 23, 23, 19, 17, 21, 18, 15, 13, 16, 15, 17, 20, 
##     18, 24, 25, 25, 27, 27, 21, 21, 25, 27, 27, 29, 28, 27, 30, 
##     31, 24, 23, 27, 25, 22, 22, 22, 22, 19, 18, 20, 17, 16, 17, 
##     17, 10, 12, 13, 15, 20, 20, 20, 22, 22, 21, 22, 16, 17, 17, 
##     16, 16, 17, 24, 24, 20, 23, 22, 20, 23, 23, 25, 24, 24, 25, 
##     28, 29, 27, 27, 28, 25, 22, 24, 27, 24, 24, 26, 23, 20, 21, 
##     21, 19, 16, 14, 19, 15, 18, 17, 17, 20, 22, 23, 22, 23, 22, 
##     24, 22, 21, 22, 28, 27, 29, 29, 29, 31, 28, 28, 32, 31, 30, 
##     28, 28, 29, 26, 22, 23, 21, 21, 16, 14, 17, 18, 16, 16, 15, 
##     17, 20, 22, 21, 23, 24, 25, 26, 18, 19, 18, 18, 19, 15, 17, 
##     18, 17, 21, 23, 24, 24, 25, 25, 25, 26, 27, 30, 30, 31, 30, 
##     31, 29, 27, 27, 25, 26, 23, 22, 23, 20, 17, 16, 17, 15, 14, 
##     15, 12, 13, 14, 16, 16, 17, 20, 20, 23, 24, 25, 27, 26, 30, 
##     30, 29, 27, 25, 25, 22, 23, 23, 20, 20, 17, 21, 18, 17, 12, 
##     13, 13, 12, 15, 17, 21, 22, 20, 27, 30, 30, 30, 27, 28, 32, 
##     30, 30, 29, 30, 29, 27, 27, 28, 23, 21, 18, 21, 19, 16, 15, 
##     16, 16, 18, 22, 25, 26, 28, 28, 28, 28, 30, 30, 30, 29, 31, 
##     33, 33, 32, 30, 27, 30, 24, 23, 21, 24, 21, 20, 22, 21, 23, 
##     27, 28, 31, 29, 28, 28, 30, 33, 33, 34, 32, 34, 33, 35, 36, 
##     34, 34, 34, 34, 31, 31, 32, 31, 26, 24, 22, 20, 17, 16, 14, 
##     14, 14, 15, 14, 19, 21, 25, 17, 19, 22, 27, 28, 27, 27, 27, 
##     29, 22, 24, 27, 29, 29, 29, 30, 32, 31, 32, 32, 31, 31, 28, 
##     28, 26, 27, 27, 23, 21, 13, 12, 17, 14, 13, 12, 12, 15, 14, 
##     16, 18, 19, 23, 23, 24, 26, 28, 26, 27, 26, 30, 29, 25, 27, 
##     23, 25, 22, 21, 20, 19, 17, 16, 18, 16, 17, 16, 15, 19, 21, 
##     22, 22, 26, 25, 25, 26, 25, 25, 26, 27, 27, 26, 27, 25, 22, 
##     20, 24, 24, 20, 21, 23, 22, 23, 24, 30, 31, 31, 31, 32, 32, 
##     29, 29, 28, 30, 31, 26, 26, 30, 25, 28, 25, 25, 28, 28, 23, 
##     27, 22, 24, 26, 23, 24, 24, 22, 23, 23, 26, 24, 26, 30, 33, 
##     30, 30, 32, 28, 28, 25, 25, 24, 22, 24, 25, 24, 22, 22, 25, 
##     21, 25, 27, 25, 26, 28, 32, 30, 29, 33, 33, 31, 32, 27, 27, 
##     30, 24, 25, 26, 23, 27, 25, 22, 22, 22, 19, 21, 17, 23, 23, 
##     22, 23, 21, 25, 24, 24, 29, 25, 30, 30, 33, 32, 31, 31, 31, 
##     24, 23, 27, 18, 21, 25, 27, 24, 21, 19, 17, 16, 16, 20, 19, 
##     19, 20, 22, 21, 23, 24, 22, 24, 24, 29, 31, 31, 26, 27, 26, 
##     26, 24, 22, 21, 21, 21, 19, 19, 21, 20, 20, 23, 21, 24, 24, 
##     24, 25, 28, 28, 23, 26, 24, 28, 26, 29, 25, 24, 25, 27, 25, 
##     25, 31, 32, 31, 31, 31, 29, 28, 27, 25, 23, 22, 22, 23, 21, 
##     18, 22, 19, 20, 19, 18, 21, 23, 22, 19, 22, 24, 26, 27, 24, 
##     24, 23, 23, 28, 23, 21, 20, 19, 18, 18, 19, 22, 21, 19, 19, 
##     20, 18, 16, 16, 18, 19, 21, 23, 22, 21, 21, 23, 22, 24, 24, 
##     27, 30, 28, 28, 26, 25, 25, 27, 28, 29, 28, 29, 32, 34, 30, 
##     30, 33, 33, 33, 29, 29, 23, 22, 22, 23, 21, 19, 21, 18, 19, 
##     20, 20, 20, 26, 23, 25, 28, 27, 25, 22, 24, 24, 24, 23, 24, 
##     23, 28, 30, 25, 28, 30, 25, 28, 27, 25, 25, 21, 20, 23, 21, 
##     19, 20, 23, 21, 23, 22, 22, 26, 27, 30, 28, 28, 27, 25, 27, 
##     29, 26, 25, 30, 27, 29, 28, 28, 26, 26, 20, 17, 17, 18, 20, 
##     20, 19, 21, 23, 22, 24, 24, 25, 24, 25, 25, 28, 23, 25, 23, 
##     26, 23, 22, 22, 24, 22, 15, 17, 18, 17, 18, 21, 29, 28, 29, 
##     27, 29, 33, 34, 34, 35, 30, 27, 23, 21, 20, 20, 18, 16, 16, 
##     19, 17, 15, 20, 38, 14, 12, 17, 18, 19, 19, 27, 20, 24, 24, 
##     25, 27, 26, 24, 26, 24, 24, 21, 19, 19, 20, 16, 18, 17, 17, 
##     18, 20, 23, 23, 21, 22, 21, 17, 19, 17, 19, 19, 17, 19, 16, 
##     18, 18, 17, 19, 17, 16, 20, 18, 21, 19, 19, 17, 16, 16, 18, 
##     18, 20, 21, 23, 20, 20, 22, 22, 22, 20, 20, 23, 21, 21, 25, 
##     21, 22, 24, 23, 20, 23, 27, 26, 26, 22, 20, 19, 19, 24, 22, 
##     23, 23, 24, 23, 30, 24, 29, 27, 30, 30, 21, 20, 21, 19, 24, 
##     22, 22, 43, 41, 41, 45, 44, 46, 44, 34, 32, 37, 35, 36, 31, 
##     30, 33, 36, 38, 38, 35, 40, 42, 40, 41, 43, 39, 40, 45, 45, 
##     44, 44, 43, 45, 44, 42, 41, 49, 40, 41, 35, 34, 41, 41, 47, 
##     44, 42, 43, 42, 38, 36, 31, 29, 35, 33, 31, 34, 33, 37, 45, 
##     45, 47, 48, 48, 43, 42, 44, 37, 37, 37, 38, 35, 37, 36, 35, 
##     36, 37, 38, 42, 39, 45, 44, 42, 46, 50, 44, 39, 41, 37, 39, 
##     34, 35, 35, 36, 42, 43, 38, 35, 34, 38, 43, 43, 47, 43, 42, 
##     44, 45, 47, 40, 39, 38, 35, 38, 34, 40, 34, 35, 36, 39, 36, 
##     41, 34, 43, 39, 40, 43, 43, 45, 45, 44, 35, 39, 34, 34, 34, 
##     35, 36, 32, 37, 39, 35, 35, 36, 41, 48, 44, 40, 41, 41, 39, 
##     42, 37, 36, 33, 31, 30, 34, 31, 34, 32, 35, 36, 33, 35, 43, 
##     41, 47, 42, 47, 42, 45, 47, 44, 36, 34, 34, 33, 34, 33, 33, 
##     34, 36, 39, 40, 37, 42, 44, 45, 39, 38, 40, 39, 38, 36, 34, 
##     36, 31, 35, 31, 35, 37, 35, 35, 38, 43, 37, 51, 46, 41, 39, 
##     41, 39, 33, 32, 33, 34, 34, 33, 39, 42, 47, 35, 38, 38, 36, 
##     39, 32, 42, 38, 33, 39, 34, 43, 50, 51, 51, 41, 41, 41, 37, 
##     35, 36, 36, 34, 30, 35, 32, 31, 37, 41, 40, 38, 43, 44, 46, 
##     47, 36, 35, 34, 30, 33, 31, 31, 33, 31, 33, 33, 40, 44, 41, 
##     42, 45, 45, 41, 42, 39, 37, 40, 36, 31, 31, 32, 26, 28, 25, 
##     27, 25, 27, 36, 32, 33, 37, 39, 35, 43, 45, 42, 37, 36, 37, 
##     34, 34, 35, 32, 32, 30, 28, 25, 28, 30, 29, 25, 30, 32, 38, 
##     37, 38, 40, 43, 46, 40, 39, 38, 36, 36, 38, 37, 30, 30, 27, 
##     30, 45, 48, 49, 44, 43, 42, 42, 43, 42, 43, 43, 43, 42, 44, 
##     42, 44, 44, 43, 46, 44, 44, 46, 41, 40, 43, 48, 47, 48, 42, 
##     46, 47, -159, -160, -157, -158, -160, -157, -159, -160, -161, 
##     -163, -162, -165, -165, -163, -162, -164, -162, -160, -158, 
##     -160, -161, -161, -162, -159, -160, -160, -160, -157, -159, 
##     -160, -159, -161, -159, -159, -160, -160, -160, -160, -162, 
##     -162, -160, -160, -163, -163, -162, -162, -162, -164, -165, 
##     -163, -163, -162, -162, -162, -161, -159, -159, -160, -159, 
##     -159, -160, -158, -160, -161, -159, -160, -161, -160, -159, 
##     -159, -161, -160, -161, -160, -158, -161, -161, -161, -160, 
##     -161, -162, -162, -158, -159, -160, -159, -161, -158, -159, 
##     -159, -160, -160, -158, -160, -160, -158, -159, -159, -159, 
##     -159, -160, -160, -159, -157, -161, -161, -162, -162, -165, 
##     -162, -161, -161, -161, -169, -163, -167, -165, -163, -162, 
##     -162, -159, -161, -160, -161, -159, -160, -162, -160, -159, 
##     -160, -158, -160, -161, -159, -159, -161, -160, -161, -163, 
##     -162, -162, -162, -160, -162, -159, -159, -160, -160, -159, 
##     -157, -158, -159, -159, -158, -159, -159, -159, -160, -162, 
##     -161, -164, -163, -164, -162, -164, -163, -161, -159, -159, 
##     -161, -159, -160, -161, -160, -163, -161, -161, -160, -159, 
##     -162, -161, -161, -161, -160, -160, -159, -161, -159, -159, 
##     -159, -160, -162, -161, -159, -161, -161, -162, -160, -161, 
##     -166, -164, -164, -162, -161, -162, -163, -161, -162, -161, 
##     -161, -160, -160, -160, -158, -160, -161, -161, -158, -159, 
##     -159, -158, -158, -159, -160, -160, -159, -160, -158, -160, 
##     -160, -160, -159, -161, -161, -160, -161, -161, -162, -160, 
##     -161, -161, -162, -161, -161, -162, -161, -160, -161, -161, 
##     -158, -160, -159, -159, -160, -158, -159, -160, -162, -158, 
##     -159, -160, -161, -163, -160, -162, -159, -158, -160, -159, 
##     -159, -158, -157, -159, -158, -159, -158, -158, -159, -160, 
##     -159, -159, -160, -160, -161, -161, -161, -160, -160, -163, 
##     -161, -161, -160, -160, -159, -158, -158, -158, -160, -160, 
##     -160, -159, -160, -162, -161, -161, -162, -162, -159, -160, 
##     -160, -160, -159, -159, -159, -158, -159, -159, -158, -161, 
##     -158, -158, -157, -157, -157, -160, -160, -160, -158, -158, 
##     -158, -159, -158, -160, -158, -159, -158, -161, -160, -160, 
##     -162, -160, -161, -160, -162, -160, -161, -161, -158, -159, 
##     -160, -159, -160, -160, -161, -159, -160, -161, -164, -159, 
##     -161, -162, -160, -158, -159, -160, -161, -160, -162, -162, 
##     -160, -162, -161, -162, -160, -163, -164, -163, -164, -164, 
##     -165, -161, -161, -162, -162, -160, -159, -160, -159, -158, 
##     -159, -159, -159, -159, -159, -159, -160, -159, -160, -159, 
##     -159, -159, -160, -158, -159, -157, -158, -157, -159, -160, 
##     -160, -164, -163, -163, -161, -161, -160, -159, -159, -160, 
##     -157, -158, -156, -157, -156, -155, -156, -154, -154, -153, 
##     -150, -153, -155, -156, -153, -153, -154, -153, -149, -151, 
##     -152, -151, -153, -154, -155, -156, -158, -158, -159, -159, 
##     -160, -157, -159, -158, -156, -155, -157, -157, -159, -160, 
##     -172, -175, -175, -171, -179, -177, -181, -180, -176, -171, 
##     -164, -160, -160, -160, -159, -159, -159, -155, -157, -159, 
##     -155, -160, -164, -165, -164, -164, -164, -161, -158, -164, 
##     -170, -165, -165, -164, -160, -161, -161, -160, -159, -162, 
##     -166, -161, -163, -160, -159, -162, -158, -158, -157, -156, 
##     -160, -160, -158, -160, -160, -159, -160, -158, -161, -162, 
##     -161, -160, -160, -160, -160, -158, -158, -159, -159, -160, 
##     -159, -160, -161, -162, -161, -163, -164, -163, -161, -162, 
##     -162, -161, -160, -160, -159, -163, -162, -164, -163, -164, 
##     -162, -161, -162, -161, -157, -160, -159, -159, -158, -159, 
##     -158, -158, -158, -159, -160, -161, -161, -160, -161, -161, 
##     -160, -160, -160, -161, -161, -161, -160, -161, -160, -159, 
##     -160, -161, -162, -163, -161, -162, -161, -161, -162, -164, 
##     -160, -161, -160, -160, -160, -159, -160, -160, -158, -158, 
##     -159, -159, -159, -159, -159, -157, -158, -159, -161, -161, 
##     -160, -160, -161, -161, -162, -162, -160, -160, -160, -161, 
##     -162, -162, -162, -160, -161, -161, -165, -166, -162, -165, 
##     -163, -162, -162, -162, -165, -165, -161, -160, -161, -161, 
##     -162, -162, -160, -158, -158, -158, -160, -160, -160, -158, 
##     -157, -158, -157, -153, -158, -157, -160, -160, -162, -163, 
##     -166, -161, -163, -165, -163, -162, -162, -161, -159, -158, 
##     -157, -159, -158, -157, -155, -156, -156, -156, -157, -156, 
##     -155, -156, -155, -157, -156, -155, -154, -155, -154, -156, 
##     -157, -159, -159, -159, -154, -155, -155, -155, -153, -160, 
##     -161, -164, -159, -160, -159, -160, -161, -160, -161, -161, 
##     -161, -160, -160, -158, -159, -159, -158, -156, -155, -155, 
##     -156, -156, -154, -153, -156, -157, -156, -154, -153, -151, 
##     -151, -151, -150, -150, -151, -154, -155, -155, -157, -156, 
##     -158, -156, -157, -154, -158, -156, -156, -154, -156, -157, 
##     -156, -155, -155, -158, -156, -158, -154, -155, -155, -155, 
##     -156, -157, -156, -156, -159, -157, -157, -157, -155, -158, 
##     -160, -159, -156, -158, -159, -160, -159, -158, -157, -158, 
##     -156, -158, -158, -158, -159, -158, -159, -160, -161, -161, 
##     -157, -158, -158, -153, -155, -155, -157, -158, -156, -156, 
##     -155, -152, -152, -153, -155, -154, -153, -153, -153, -156, 
##     -157, -158, -158, -157, -157, -158, -159, -159, -158, -158, 
##     -157, -157, -157, -155, -155, -157, -157, -156, -157, -156, 
##     -157, -155, -156, -155, -154, -154, -155, -153, -157, -158, 
##     -158, -155, -159, -157, -159, -153, -153, -155, -158, -156, 
##     -159, -159, -159, -160, -159, -159, -159, -160, -159, -159, 
##     -160, -158, -160, -159, -160, -159, -158, -157, -160, -162, 
##     -161, -160, -160, -161, -159, -160, -159, -158, -157, -158, 
##     -156, -156, -157, -157, -158, -157, -157, -157, -155, -157, 
##     -157, -155, -157, -160, -161, -160, -158, -157, -157, -156, 
##     -158, -159, -158, -159, -158, -158, -159, -161, -158, -158, 
##     -159, -160, -160, -161, -160, -160, -163, -162, -161, -160, 
##     -161, -164, -161, -160, -159, -158, -161, -158, -158, -158, 
##     -159, -159, -159, -159, -158, -158, -159, -159, -159, -158, 
##     -158, -159, -158, -158, -158, -159, -159, -158, -158, -160, 
##     -160, -160, -159, -160, -161, -159, -159, -161, -160, -160, 
##     -160, -160, -160, -157, -158, -157, -159, -160, -159, -158, 
##     -156, -155, -153, -153, -154, -152, -152, -153, -153, -156, 
##     -154, -154, -154, -154, -155, -155, -156, -155, -157, -157, 
##     -157, -157, -157, -155, -156, -154, -156, -156, -155, -156, 
##     -154, -154, -155, -155, -155, -153, -156, -155, -155, -156, 
##     -155, -154, -152, -152, -153, -154, -154, -156, -157, -156, 
##     -156, -156, -155, -156, -157, -159, -157, -157, -159, -157, 
##     -157, -158, -157, -157, -158, -157, -159, -158, -158, -159, 
##     -161, -160, -157, -155, -154, -158, -157, -157, -155, -154, 
##     -152, -154, -157, -154, -150, -156, -158, -155, -157, -157, 
##     -155, -156, -156, -157, -158, -157, -156, -158, -159, -159, 
##     -158, -158, -157, -159, -157, -157, -157, -157, -158, -158, 
##     -160, -160, -158, -156, -159, -162, -162, -162, -161, -160, 
##     -161, -160, -159, -159, -156, -157, -158, -157, -157, -157, 
##     -157, -157, -155, -153, -154, -153, -155, -150, -152, -154, 
##     -154, -157, -156, -156, -151, -154, -158, -159, -159, -161, 
##     -158, -159, -160, -161, -160, -159, -159, -158, -158, -157, 
##     -157, -158, -158, -159, -160, -160, -158, -158, -158, -159, 
##     -158, -158, -158, -159, -157, -158, -158, -158, -160, -161, 
##     -160, -160, -156, -140, -152, -157, -156, -155, -159, -161, 
##     -158, -158, -159, -155, -158, -158, -156, -157, -157, -159, 
##     -161, -161, -160, -160, -159, -161, -162, -162, -161, -161, 
##     -160, -161, -161, -161, -159, -160, -159, -160, -161, -158, 
##     -157, -157, -157, -159, -158, -160, -159, -159, -159, -160, 
##     -160, -160, -159, -160, -161, -159, -158, -159, -160, -159, 
##     -161, -162, -161, -168, -168, -165, -167, -162, -165, -161, 
##     -161, -162, -160, -160, -159, -160, -160, -157, -158, -155, 
##     -156, -154, -156, -155, -156, -158, -158, -157, -156, -157, 
##     -160, -159, -159, -159, -158, -160, -160, -160, -159, -160, 
##     -163, -159, -162, -158, -162, -161, -158, -161, -163, -162, 
##     -163, -163, -162, -162, -163, -163, -162, -163, -163, -162, 
##     -162, -162, -162, -162, -161, -163, -161, -162, -161, -164, 
##     -161, -162, -160, -162, -162, -161, -162, -165, -164, -165, 
##     -161, -164, -164, -160, -148, -157, -159, -165, -162, -159, 
##     -157, -158, -160, -160, -158, -159, -159, -158, -158, -158, 
##     -159, -157, -158, -159, -158, -158, -157, -160, -157, -157, 
##     -158, -159, -161, -161, -160, -161, -158, -161, -162, -160, 
##     -160, -162, -162, -161, -162, -161, -163, -162, -162, -161, 
##     -161, -157, -157, -158, -157, -157, -158, -157, -158, -157, 
##     -159, -162, -160, -162, -164, -163, -163, -162, -163, -164, 
##     -161, -161, -159, -161, -160, -160, -161, -161, -161, -161, 
##     -164, -162, -164, -163, -163, -165, -164, -163, -162, -161, 
##     -162, -163, -162, -162, -164, -161, -163, -162, -164, -162, 
##     -163, -161, -163, -161, -161, -161, -161, -160, -160, -161, 
##     -159, -159, -159, -159, -160, -159, -159, -159, -159, -159, 
##     -158, -159, -161, -159, -161, -160, -159, -161, -159, -156, 
##     -158, -163, -160, -160, -161, -162, -161, -164, -163, -163, 
##     -159, -159, -158, -159, -159, -157, -155, -157, -156, -157, 
##     -156, -155, -155, -153, -152, -153, -157, -155, -155, -156, 
##     -157, -155, -156, -157, -160, -160, -159, -157, -160, -160, 
##     -157, -157, -157, -157, -158, -160, -160, -159, -162, -163, 
##     -160, -160, -161, -160, -160, -160, -159, -160, -160, -159, 
##     -159, -158, -160, -156, -157, -158, -159, -156, -155, -153, 
##     -153, -151, -153, -154, -154, -156, -156, -155, -156, -155, 
##     -152, -160, -157, -157, -155, -158, -158, -157, -158, -159, 
##     -156, -159, -160, -158, -158, -156, -158, -160, -161, -158, 
##     -159, -159, 49, 49, 47, 45, 46, 46, 46, 49, 50, 48, 48, 46, 
##     46, 45, 44, 45, 45, 42, 44, 47, 33, 28, 37, 36, 40, 38, 40, 
##     40, 39, 44, 46, 47, 45, 43, 40, 40, 43, 46, 49, 46, 40, 38, 
##     41, 41, 45, 45, 46, 47, 47, 35, 34, 36, 36, 38, 42, 45, 49, 
##     47, 42, 39, 42, 36, 35, 33, 35, 33, 31, 26, 25, 31, 31, 31, 
##     36, 42, 48, 35, 45, 42, 42, 48, 47, 43, 43, 41, 38, 38, 41, 
##     36, 34, 35, 35, 35, 30, 35, 39, 39, 35, 37, 41, 38, 32, 34, 
##     37, 38, 36, 31, 29, 35, 42, 42, 38, 41, 44, 47, 43, 47, 45, 
##     45, 42, 39, 37, 36, 37, 36, 32, 33, 34, 37, 39, 27, 29, 30, 
##     28, 30, 27, 31, 22, 25, 23, 24, 23, 24, 24, 26, 25, 26, 26, 
##     26, 25, 28, 28, 25, 24, 26, 24, 27, 27, 30, 29, 26, 27, 29, 
##     29, 26, 27, 23, 26, 26, 25, 23, 23, 23, 19, 17, 17, 13, 13, 
##     11, 12, 11, 10, 12, 17, 24, 25, 28, 29, 28, 28, 32, 30, 30, 
##     29, 30, 28, 27, 29, 26, 24, 19, 20, 24, 23, 23, 25, 25, 25, 
##     29, 29, 27, 26, 26, 27, 28, 27, 29, 30, 29, 29, 29, 29, 28, 
##     27, 26, 29, 24, 20, 21, 18, 18, 15, 30, 27, 27, 22, 17, 15, 
##     16, 17, 16, 19, 18, 20, 24, 25, 26, 23, 20, 25, 23, 27, 22, 
##     21, 25, 26, 29, 30, 28, 27, 29, 30, 30, 30, 30, 30, 31, 30, 
##     31, 30, 30, 29, 30, -164, -165, -164, -164, -162, -164, -164, 
##     -163, -168, -168, -169, -168, -170, -170, -171, -170, -173, 
##     -183, -184, -181, -181, -180, -182, -180, -180, -178, -178, 
##     -173, -175, -178, -178, -177, -173, -171, -172, -167, -163, 
##     -162, -165, -164, -169, -171, -167, -172, -170, -175, -173, 
##     -171, -172, -172, -178, -177, -177, -179, -176, -174, -172, 
##     -173, -171, -168, -170, -171, -167, -165, 22, 22, 22, 20, 
##     23, 21, 22, 22, 22, 20, 24, 24, 22, 23, 22, 23, 22, 23, 23, 
##     25, 21, 18, 15, 16, 17, 17, 17, 17, 22, 21, 18, 20, 21, 22, 
##     20, 19, 19, 18, 20, 19, 18, 21, 20, 18, 16, 20, 23, 23, 24, 
##     25, 27, 24, 25, 28, 27, 27, 26, 28, 27, 27, 27, 25, 26, 28, 
##     24, 22, 23, 26, 22, 21, 22, 21, 19, 22, 23, 24, 22, 25, 22, 
##     22, 19, 20, 18, 20, 20, 25, 24, 22, 23, 24, 19, 20, 20, 23, 
##     23, 24, 25, 26, 27, 27, 26, 27, 26, 26, 23, 28, 30, 27, 24, 
##     26, 27, 27, 25, 22, 29, 27, 25, 28, 25, 26, 26, 25, 26, 25, 
##     25, 27, 27, 25, 22, 22, 19, 22, 22, 21, 23, 23, 29, 25, 26, 
##     26, 22, 22, 20, 21, 21, 21, 22, 18, 19, 19, 21, 18, 22, 21, 
##     22, 22, 26, 26, 27, 26, 30, 31, 28, 26, 26, 26, 29, 29, 29, 
##     28, 24, 27, 25, 25, 27, 28, 29, 29, 28, 24, 26, 23, 26, 25, 
##     19, 20, 22, 19, 21, 21, 20, 22, 20, 22, 22, 22, 21, 20, 23, 
##     22, 23, 24, 24, 24, 28, 28, 29, 30, 28, 25, 24, 20, 23, 20, 
##     24, -175, -169, -173, -170, -174, -178, -179, -176, -174, 
##     -174, -177, -175, -178, -177, -177, -176, -177, -174, -174, 
##     -175, -173, -177, -177, -176, -176, -171, -173, -173, -169, 
##     -171, -171, -171, -170, -174, -171, -173, -171, -171, -172, 
##     -174, -172, -174, -169, -174, -172, -170, -170, -171, -169, 
##     -167, -169, -167, -167, -168, -167, -169, -169, -170, -173, 
##     -170, -167, -171, -169, -169, -168, -171, -173, -172, -171, 
##     -173, -178, -169, -176, -176, -174, -173, -170, -170, -168, 
##     -170, -173, -169, -170, -171, -169, -177, -169, -172, -172, 
##     -172, -172, -174, -174, -176, -177, -173, -175, -175, -172, 
##     -173, -175, -174, -173, -171, -175, -175, -172, -173, -174, 
##     -174, -176, -171, -172, -172, -168, -171, -170, -172, -169, 
##     -175, -174, -180, -175, -173, -174, -178, -179, -179, -177, 
##     -177, -177, -177, -176, -177, -175, -175, -173, -172, -173, 
##     -170, -168, -172, -175, -170, -174, -176, -172, -172, -176, 
##     -176, -175, -177, -174, -177, -177, -170, -175, -172, -173, 
##     -172, -176, -175, -175, -176, -177, -173, -175, -170, -171, 
##     -167, -173, -172, -169, -171, -171, -172, -169, -171, -172, 
##     -170, -172, -175, -173, -169, -171, -174, -171, -169, -169, 
##     -169, -168, -167, -170, -170, -166, -171, -171, -171, -168, 
##     -164, -164, -170, -169, -169, -170, -169, -170, -167, -169, 
##     -165, -167, -175, -169, -170, -174, -171, -173, -176, -177, 
##     -176, -173, -169, -170, -170, -168, -167, -170, -172, -170, 
##     -170, -170, -170, -173, -172, -172, -172, -175, -174, -172, 
##     -171, -171, -167, -170, -167, -171, -171, -167, -168, -169, 
##     -169, -170, -168, -169, -169, -171, -169, -173, -170, -174, 
##     -170, -171, -175, -171, -172, -172, -171, -169, -168, -173, 
##     -173, -172, -172, -172, -171, -172, -173, -176, -173, -175, 
##     -174, -174, -172, -174, -173, -170, -170, -170, -170, -172, 
##     -171, -172, -163, -170, -170, -167, -167, -166, -167, -168, 
##     -163, -162, -173, -175, -170, -169, -171, -179, -175, -176, 
##     -174, -168, -173, -170, -170, -170, -174, -171, -171, -176, 
##     -177, -177, -173, -176, -175, -171, -170, -169, -173, -172, 
##     -170, -169, -170, -171, -167, -169, -170, -171, -170, -170, 
##     -170, -170, -171, -175, -174, -174, -175, -175, -178, -178, 
##     -173, -177, -176, -174, -172, -166, -165, -167, -171, -169, 
##     -169, -172, -171, -169, -168, -168, -172, -172, -171, -170, 
##     -174, -172, -171, -171, -167, -170, -169, -168, -168, -167, 
##     -170, -169, -168, 29, 22, 20, 21, 22, 22, 19, 20, 19, 26, 
##     23, 27, 25, 19, 18, 21, 19, 21, 21, 20, 19, 23, 22, 22, 22, 
##     21, 24, 22, 22, 24, 22, 24, 23, 24, 22, 23, 25, 27, 26, 25, 
##     23, 27, 24, 24, 21, 25, 26, 22, 26, 23, 20, 19, 19, 18, 18, 
##     21, 19, 20, 24, 22, 27, 31, 30, 29, 22, 25, 23, 23, 24, 18, 
##     17, 17, 18, 19, 24, 22, 23, 26, 24, 24, 22, 21, 24, 25, 23, 
##     23, 25, 25, 24, 27, 26, 26, 26, 26, 24, 26, 23, 23, 20, 23, 
##     22, 22, 19, 20, 23, 20, 21, 22, 26, 27, 28, 29, 29, 28, 28, 
##     28, 26, 21, 21, 23, 22, 21, 26, 25, 23, 23, 25, 22, 21, 22, 
##     19, 27, 27, 27, 23, 25, 23, 26, 27, 27, 25, 26, 25, 24, 24, 
##     24, 24, 24, 20, 21, 20, 20, 19, 17, 18, 21, 19, 17, 17, 18, 
##     19, 21, 24, 28, 28, 28, 29, 27, 29, 28, 27, 26, 25, 22, 20, 
##     18, 19, 19, 18, 22, 20, 22, 21, 22, 27, 27, 28, 27, 28, 26, 
##     26, 25, 26, 26, 26, 27, 25, 24, 26, 24, 23, 22, 21, 21, 20, 
##     20, 21, 21, 23, 23, 23, 30, 28, 26, 25, 26, 22, 21, 20, 21, 
##     20, 24, 23, 23, 26, 27, 26, 27, 27, 27, 30, 29, 30, 28, 28, 
##     29, 27, 28, 27, 24, 22, 21, 19, 18, 19, 18, 19, 19, 19, 17, 
##     25, 26, 26, 28, 26, 25, 24, 21, 21, 19, 18, 17, 17, 18, 19, 
##     22, 22, 22, 20, 24, 23, 24, 24, 25, 28, 27, 29, 28, 27, 25, 
##     25, 24, 20, 21, 18, 18, 18, 19, 18, 17, 20, 21, 26, 26, 28, 
##     28, 27, 25, 26, 25, 22, 22, 23, 19, 18, 21, 21, 22, 22, 21, 
##     20, 22, 19, 22, 22, 19, 21, 20, 21, 20, 23, 21, 22, 26, 30, 
##     27, 26, 27, 27, 27, 23, 18, 19, 15, 17, 20, 21, 19, 23, 27, 
##     27, 28, 26, 25, 23, 23, 22, 24, 23, 22, 22, 23, 22, 22, 20, 
##     20, 21, 23, 19, 18, 28, 28, 26, 26, 28, 28, 26, 24, 24, 20, 
##     20, 21, 19, 20, 19, 17, 23, 20, 23, 28, 28, 27, 25, 26, 28, 
##     25, 23, 23, 24, 18, 22, 21, 15, 20, 20, 21, 20, 18, 23, 24, 
##     22, 23, 22, 24, 23, 24, 25, 28, 27, 24, 26, 26, 27, 25, 27, 
##     28, 22, 24, 25, 23, 22, 22, 25, 21, 19, 20, 22, 21, 20, 19, 
##     22, 22, 21, 19, 23, 20, 19, 20, 17, 16, 24, 26, 20, 24, 21, 
##     21, 21, 21, 22, 24, 18, 19, 19, 18, 19, 19, 22, 21, 22, 21, 
##     26, 25, 22, 20, 20, 23, 24, 23, 26, 23, 21, 26, 25, 23, 21, 
##     20, 21, 20, 18, 18, 18, 17, 17, 17, 19, 16, 17, 20, 23, 18, 
##     17, 19, 20, 18, 17, 22, 19, 17, 17, 17, 14, 15, 18, 16, 23, 
##     20, 17, 24, 19, 22, 22, 19, 20, 21, 21, 23, 19, 22, 21, 21, 
##     21, 23, 22, 18, 19, 19, 19, 17, 18, 17, 19, 21, 21, 24, 23, 
##     23, 25, 25, 26, 21, 21, 22, 18, 20, 17, 20, 19, 17, 16, 18, 
##     19, 21, 19, 22, 24, 21, 20, 21, 18, 19, 18, 22, 20, 21, 21, 
##     19, 18, 18, 20, 20, 20, 17, 19, 22, 19, 20, 22, 24, 21, 25, 
##     22, 24, 22, 24, 28, 22, 23, 25, 26, 23, 23, 24, 26, 25, 26, 
##     22, 20, 18, 18, 17, 16, 18, 19, 19, 22, 21, 23, 21, 22, 22, 
##     22, 19, 19, 18, 20, 20, 17, 18, 19, 16, 18, 18, 24, 27, 23, 
##     26, 25, 26, 21, 24, 22, 21, 16, 19, 20, 19, 23, 23, 21, 22, 
##     24, 25, 23, 24, 22, 23, 21, 22, 20, 18, 18, 27, 29, 25, 27, 
##     27, 29, 29, 24, 26, 30, 28, 30, 31, 30, 27, 27, 26, 28, 26, 
##     24, 22, 22, 23, 21, 20, 23, 22, 18, 19, 21, 23, 21, 24, 26, 
##     27, 25, 25, 22, 25, 20, 22, 20, 23, 26, 27, 25, 23, 27, 26, 
##     27, 35, 32, 31, 32, 30, 30, 28, 29, 28, 23, 23, 26, 22, 21, 
##     21, 23, 21, 21, 22, 25, 22, 22, 24, 26, 29, 24, 28, 26, 26, 
##     22, 26, 23, 22, 23, 18, 24, 28, 24, 25, 30, 29, 27, 33, 26, 
##     29, 32, 28, 24, 23, 21, 23, 17, 22, 19, 17, 18, 19, 18, 22, 
##     25, 19, 21, 26, 26, 27, 28, 27, 24, 26, 22, 24, 20, 20, 17, 
##     15, 18, 17, 16, 19, 18, 17, 19, 19, 17, 21, 18, 17, 18, 18, 
##     19, 20, 16, 18, 15, 17, 18, 14, 11, 14, 13, 17, 16, 17, 19, 
##     17, 20, 21, 19, 20, 23, 23, 24, 22, 24, 20, 22, 21, 20, 19, 
##     20, 20, 19, 18, 18, 21, 18, 20, 21, 21, 20, 23, 23, 24, 23, 
##     21, 23, 23, 22, 23, 22, 22, 22, 21, 21, 21, 23, 22, 23, 23, 
##     23, 23, 22, 18, 19, 19, 18, 44, 49, 48, 47, 44, 47, 48, 42, 
##     43, 42, 45, 43, 44, 42, 44, 44, 43, 43, 43, 46, 44, 48, 46, 
##     47, 45, 49, 48, 44, 45, 45, 47, 45, 44, 47, 48, 46, 46, 42, 
##     45, 44, 46, 40, 43, 46, 41, 44, 44, 44, 46, 43, 44, 46, 42, 
##     45, 48, 47, 46, 43, 42, 40, 40, 41, 42, 44, 41, 38, 41, 42, 
##     41, 43, 43, 45, 47, 44, 45, 50, 46, 43, 46, 43, 47, 48, 45, 
##     43, 44, 47, 42, 40, 40, 43, 40, 44, 41, 42, 42, 45, 44, 46, 
##     45, 40, 37, 43, 37, 43, 41, 41, 43, 45, 43, 44, 45, 48, 49, 
##     43, 51, 45, 44, 44, 50, 49, 49, 44, 45, 44, 44, 39, 43, 45, 
##     45, 45, 47, 46, 45, 46, 48, 46, 48, 44, 45, 48, 45, 48, 43, 
##     42, 41, 37, 39, 38, 39, 43, 43, 43, 44, 46, 48, 49, 50, 49, 
##     43, 42, 41, 41, 44, 35, 42, 42, 43, 40, 44, 44, 39, 43, 45, 
##     44, 47, 44, 43, 47, 47, 46, 45, 43, 40, 39, 35, 37, 41, 39, 
##     41, 43, 46, 45, 46, 47, 47, 41, 41, 42, 40, 39, 43, 40, 38, 
##     45, 44, 42, 41, 44, 47, 39, 44, 46, 47, 48, 51, 47, 46, 47, 
##     46, 48, 48, 45, 44, 39, 44, 39, 39, 38, 43, 37, 40, 46, 42, 
##     44, 42, 38, 37, 41, 39, 38, 34, 35, 35, 35, 38, 48, 48, 41, 
##     37, 46, 46, 42, 45, 44, 42, 43, 45, 45, 44, 43, 43, 38, 37, 
##     41, 39, 40, 43, 45, 43, 43, 44, 37, 39, 39, 44, 44, 39, 42, 
##     44, 45, 45, 48, 48, 46, 46, 47, 46, 49, 45, 44, 41, 38, 40, 
##     37, 37, 39, 43, 41, 44, 42, 39, 37, 39, 35, 33, 32, 32, 31, 
##     32, 33, 40, 46, 46, 40, 40, 42, 42, 42, 45, 43, 46, 42, 41, 
##     45, 40, 45, 45, 40, 37, 38, 37, 42, 37, 36, 41, 43, 43, 43, 
##     41, 46, 43, 42, 38, 38, 41, 42, 42, 45, 37, 40, 45, 43, 44, 
##     43, 40, 44, 46, 42, 44, 47, 44, 45, 43, 45, 44, 45, 44, 44, 
##     41, 42, 44, 43, 43, 42, 40, 45, 47, 47, 47, 45, 44, 44, 41, 
##     42, 41, 42, 41, 43, 40, 39, 42, 42, 42, 43, 45, 43, 41, 43, 
##     43, 44, 42, 43, 44, 42, 39, 44, 44, 42, 41, 44, 40, 41, 41, 
##     45, 42, 40, 38, 39, 35, 35, 36, 36, 35, 37, 38, 40, 43, 47, 
##     45, 48, 50, 46, 39, 42, 41, 44, 45, 36, 37, 38, 39, 30, 34, 
##     33, 38, 42, 46, 54, 42, 40, 45, 38, 39, 36, 40, 35, 35, 30, 
##     29, 32, 38, 36, 36, 38, 40, 40, 43, 41, 43, 35, 36, 39, 40, 
##     35, 40, 39, 33, 38, 30, 42, 45, 42, 42, 49, 43, 37, 33, 38, 
##     38, 38, 40, 38, 39, 42, 41, 40, 42, 42, 42, 39, 39, 41, 40, 
##     40, 40, 36, 39, 40, 41, 37, 38, 40, 36, 35, 40, 39, 41, 39, 
##     39, 41, 39, 42, 41, 42, 40, 42, 46, 48, 51, 46, 45, 41, 46, 
##     46, 46, 44, 47, 45, 43, 45, 46, 50, 49, 45, 44, 48, 46, 47, 
##     49, 44, 40, 41, 46, 41, 36, 36, 43, 45, 51, 51, 46, 46, 44, 
##     46, 44, 45, 46, 47, 45, 47, 45, 47, 45, 46, 46, 44, 44, 42, 
##     41, 43, 43, 44, 44, 45, 43, 40, 43, 43, 41, 41, 43, -159, 
##     -157, -158, -161, -159, -159, -158, -159, -158, -161, -161, 
##     -160, -159, -159, -157, -160, -159, -159, -155, -156, -157, 
##     -156, -157, -157, -156, -157, -158, -155, -157, -157, -156, 
##     -161, -161, -160, -162, -158, -158, -160, -159, -159, -160, 
##     -161, -159, -157, -158, -156, -158, -157, -159, -157, -159, 
##     -159, -160, -161, -160, -161, -160, -161, -161, -162, -161, 
##     -162, -161, -161, -161, -162, -162, -159, -159, -160, -160, 
##     -159, -159, -162, -163, -161, -161, -163, -160, -159, -160, 
##     -160, -160, -161, -162, -161, -159, -158, -159, -158, -159, 
##     -160, -159, -160, -159, -159, -160, -161, -160, -161, -161, 
##     -160, -162, -162, -162, -162, -161, -160, -161, -159, -161, 
##     -160, -160, -162, -158, -159, -162, -163, -163, -163, -163, 
##     -164, -164, -161, -163, -162, -161, -160, -160, -159, -166, 
##     -166, -168, -168, -169, -162, -165, -165, -164, -165, -162, 
##     -161, -162, -162, -162, -162, -164, -164, -160, -162, -161, 
##     -163, -164, -163, -162, -163, -164, -164, -163, -165, -163, 
##     -166, -162, -160, -160, -160, -163, -159, -160, -160, -161, 
##     -164, -161, -160, -161, -159, -159, -161, -161, -158, -160, 
##     -161, -161, -161, -159, -159, -160, -159, -159, -160, -160, 
##     -160, -160, -161, -162, -160, -159, -160, -160, -160, -159, 
##     -159, -160, -162, -160, -160, -159, -161, -160, -159, -161, 
##     -160, -161, -161, -162, -163, -162, -162, -160, -162, -160, 
##     -161, -162, -161, -160, -160, -159, -160, -162, -164, -164, 
##     -163, -164, -164, -163, -162, -163, -162, -163, -161, -161, 
##     -161, -160, -161, -160, -160, -159, -160, -160, -161, -160, 
##     -161, -161, -161, -161, -162, -162, -161, -162, -163, -163, 
##     -165, -164, -161, -162, -162, -164, -163, -163, -161, -161, 
##     -161, -162, -161, -161, -163, -164, -161, -160, -162, -161, 
##     -161, -159, -161, -161, -162, -161, -161, -161, -162, -160, 
##     -162, -161, -160, -161, -161, -161, -163, -162, -162, -163, 
##     -161, -161, -162, -160, -160, -159, -160, -162, -160, -159, 
##     -159, -160, -160, -160, -160, -160, -158, -160, -161, -160, 
##     -160, -161, -159, -160, -160, -159, -158, -159, -159, -159, 
##     -160, -160, -159, -162, -162, -160, -163, -161, -160, -162, 
##     -161, -159, -160, -158, -159, -159, -160, -160, -160, -159, 
##     -159, -160, -162, -161, -161, -161, -160, -162, -161, -162, 
##     -160, -163, -161, -160, -159, -159, -161, -159, -159, -158, 
##     -158, -159, -160, -162, -162, -160, -159, -160, -160, -159, 
##     -160, -161, -160, -160, -163, -160, -159, -159, -156, -158, 
##     -158, -158, -159, -160, -161, -162, -161, -162, -163, -164, 
##     -164, -159, -159, -158, -160, -159, -160, -159, -160, -159, 
##     -159, -158, -159, -161, -160, -159, -159, -159, -161, -160, 
##     -160, -161, -160, -161, -161, -160, -160, -159, -160, -159, 
##     -159, -158, -157, -158, -159, -160, -160, -160, -161, -162, 
##     -160, -160, -162, -161, -161, -161, -160, -159, -160, -160, 
##     -159, -161, -160, -160, -160, -158, -159, -160, -160, -159, 
##     -160, -161, -160, -159, -159, -160, -160, -161, -160, -160, 
##     -159, -161, -160, -162, -162, -160, -160, -159, -160, -161, 
##     -161, -161, -160, -159, -160, -160, -161, -158, -159, -158, 
##     -158, -157, -159, -159, -159, -158, -158, -158, -159, -158, 
##     -159, -159, -159, -160, -160, -159, -158, -159, -160, -158, 
##     -160, -160, -159, -160, -159, -159, -159, -158, -159, -159, 
##     -158, -160, -158, -158, -158, -157, -156, -158, -156, -157, 
##     -155, -156, -158, -157, -159, -159, -153, -154, -155, -157, 
##     -153, -153, -154, -156, -158, -161, -162, -161, -159, -158, 
##     -159, -158, -157, -157, -158, -155, -154, -155, -157, -154, 
##     -155, -156, -155, -157, -158, -158, -157, -157, -157, -155, 
##     -153, -153, -153, -154, -152, -153, -155, -155, -154, -155, 
##     -154, -153, -154, -156, -155, -157, -157, -156, -156, -156, 
##     -157, -156, -158, -157, -157, -156, -157, -155, -158, -156, 
##     -156, -157, -157, -156, -156, -158, -156, -156, -157, -159, 
##     -158, -157, -156, -157, -160, -157, -159, -157, -160, -160, 
##     -158, -159, -160, -159, -158, -159, -158, -159, -159, -158, 
##     -160, -157, -161, -161, -160, -160, -161, -162, -161, -161, 
##     -160, -160, -161, -161, -162, -160, -159, -157, -160, -162, 
##     -162, -159, -160, -160, -159, -162, -160, -160, -161, -160, 
##     -160, -159, -160, -160, -161, -162, -161, -162, -162, -161, 
##     -163, -162, -162, -162, -162, -162, -163, -165, -162, -160, 
##     -160, -162, -160, -160, -162, -160, -160, -161, -160, -161, 
##     -164, -163, -163, -159, -159, -160, -160, -157, -159, -158, 
##     -158, -159, -160, -158, -159, -160, -159, -160, -160, -159, 
##     -159, -160, -160, -159, -160, -160, -159, -159, -160, -160, 
##     -161, -160, -160, -162, -160, -159, -160, -159, -161, -161, 
##     -156, -158, -157, -158, -158, -157, -157, -156, -158, -157, 
##     -154, -158, -157, -158, -160, -159, -159, -159, -160, -159, 
##     -160, -157, -160, -159, -161, -161, -160, -161, -160, -158, 
##     -165, -161, -157, -158, -161, -158, -158, -161, -160, -157, 
##     -157, -155, -158, -158, -158, -159, -158, -158, -161, -159, 
##     -159, -159, -159, -160, -161, -160, -160, -159, -160, -162, 
##     -163, -163, -163, -165, -164, -163, -160, -161, -159, -162, 
##     -161, -162, -159, -161, -162, -162, -160, -159, -160, -159, 
##     -160, -161, -159, -160, -161, -160, -159, -161, -164, -161, 
##     -161, -160, -160, -163, -162, -161, -161, -160, -162, -161, 
##     -162, -163, -161, -161, -161, -161, -163, -160, -160, -160, 
##     -161, -162, -160, -160, -159, -161, -162, -160, -161, -160, 
##     -161, -161, -163, -167, -169, -168, -164, -165, -163, -162, 
##     -166, -165, -170, -163, -166, -165, -164, -164, -162, -162, 
##     -161, -160, -163, -163, -164, -162, -162, -162, -163, -162, 
##     -163, -164, -165, -165, -169, -166, -166, -167, -168, -165, 
##     -164, -167, -165, -166, -162, -163, -165, -167, -167, -165, 
##     -162, -163, -164, -168, -164, -161, -161, -164, -162, -162, 
##     -162, -162, -160, -162, -164, -163, -163, -165, -167, -164, 
##     -165, -172, -172, -169, -165, -169, -168, -169, -164, -165, 
##     -168, -165, -160, -159, -161, -161, -160, -160, -161, -159, 
##     -158, -157, -160, -161, -158, -158, -158, -160, -161, -162, 
##     -162, -161, -160, -162, -162, -160, -166, -165, -162, -166, 
##     -166, -164, -165, -163, -165, -165, -165, -164, -163, -164, 
##     -165, -163, -164, -167, -166, -164, -163, -161, -160, -163, 
##     -160, -162, -163, -162, -162, -161, -160, -165, -163, -160, 
##     -163, -165, -161, -163, -162, -164, -165, -165, -167, -168, 
##     -165, -166, -168, -165, -166, -164, -161, -162, -163, -160, 
##     -162, -163, -161, -160, -162, -161, -161, -161, -161, -161, 
##     -163, -162, -163, -164, -163, -162, -160, -164, -162, -163, 
##     -163, -162, -166, -166, -164, -163, -162, -163, -163, -165, 
##     -163, -163, -161, -163, -162, -164, -162, -165, -164, -165, 
##     -165, -168, -163, -165, -161, -165, -163, -165, -167, -166, 
##     -167, -169, -169, -168, -163, -167, -166, -164, -163, -161, 
##     -161, -161, -162, -161, -161, -161, -161, -161, -161, -161, 
##     -161, -160, -159, -159, -159, -159, -160, -160, -160, -159, 
##     -159, -159, -159, -159, -163, -160, -160, -161, -159, -168, 
##     -167, -172, -170, -169, -167, -167, -165, -163, -164, -166, 
##     -161, -160, -162, -161, -161, -162, -163, -163, -162, -162, 
##     -162, -166, -166, -165, -165, -168, -168, -166, -170, -173, 
##     -169, -168, -167, -170, -167, -167, -165, -165, -165, -170, 
##     -169, -164, -167, -166, -165, -165, -165, -165, -165, -163, 
##     -163, -164, -165, -165, -164, -165, -165, -166, -166, -166, 
##     -163, -168, -164, -164, -165, -163, -165, -168, -166, -162, 
##     -163, -160, -160, -167, -162, -162, -161, -164, -163, -163, 
##     -165, -164, -165, -164, -162, -164, -163, -165, -164, -162, 
##     -166, -163, -161, -161, -162, -168, -165, -156, -160, -162, 
##     -162, -158, -162, -160, -162, -160, -159, -161, -162, -162, 
##     -162, -162, -165, -165, -165, -166, -165, -166, -167, -166, 
##     -167, -165, -162, -161, -163, -162, -166, -166, -166, -163, 
##     -164, -163, -161, -161, -161, -161, -159, -161, -162, -159, 
##     -158, -159, -161, -159, -160, -161, -160, -160, -161, -162, 
##     -161, -162, -161, -162, -162, -161, -163, -161, -161, -163, 
##     -164, -162, -156, -156, -156, -157, -156, -156, -156, -155, 
##     -157, -158, -158, -160, -160, -158, -159, -159, -161, -159, 
##     -159, -159, -158, -159, -159, -159, -158, -160, 44, 44, 42, 
##     43, 47, 45, 46, 46, 47, 45, 46, 46, 43, 41, 43, 44, 45, 44, 
##     46, 44, 48, 42, 42, 41, 38, 40, 41, 41, 41, 48, 46, 47, 46, 
##     44, 45, 43, 50, 48, 51, 46, 50, 40, 39, 41, 38, 38, 44, 41, 
##     40, 43, 45, 46, 44, 41, 41, 39, 42, 39, 44, 39, 37, 21, 23, 
##     21, 23, 22, 22, 24, 24, 22, 24, 21, 26, 24, 27, 28, 28, 29, 
##     28, 21, 20, 19, 20, 23, 25, 26, 27, 25, 23, 23, 24, 27, 29, 
##     29, 29, 29, 28, 30, 29, 28, 29, 27, 28, 27, 26, 16, 17, 21, 
##     21, 22, 21, 21, 22, 25, 23, 25, 22, 24, 23, 26, 24, 25, 27, 
##     28, 28, 28, 26, 29, 28, 27, 24, 23, 22, 21, -170, -171, -174, 
##     -175, -170, -172, -173, -170, -169, -164, -170, -165, -166, 
##     -168, -168, -169, -166, -164, -166, -166, -165, -168, -169, 
##     -171, -171, -169, -169, -167, -169, -171, -167, -168, -165, 
##     -172, -173, -175, -170, -174, -175, -177, -172, -174, -175, 
##     -177, -177, -174, -176, -176, -176, -169, -167, -166, -170, 
##     -174, -175, -173, -170, -173, -174, -170, -170, -168, -168, 
##     -174, -173, -169, -169, -168, -170, -172, -168, -171, -173, 
##     -172, -172, -168, -168, -173, -171, -171, -168, -167, -169, 
##     -167, -166, -165, -169, -169, -170, -170, -169, -169, -170, 
##     -172, -177, -177, -175, -174, -175, -173, -177, -174, -177, 
##     -172, -171, -174, -174, -176, -176, -177, -172, -176, -173, 
##     -171, -172, -172, -172, 29, 28, 28, 26, 27, 23, 24, 20, 22, 
##     22, 24, 23, 22, 20, 18, 21, 22, 26, 21, 26, 29, 27, 25, 28, 
##     30, 22, 22, 24, 25, 23, 19, 18, 19, 19, 20, 19, 19, 20, 19, 
##     19, 17, 16, 19, 18, 16, 17, 18, 20, 19, 23, 22, 21, 20, 22, 
##     22, 23, 26, 25, 28, 24, 26, 23, 21, 22, 18, 19, 19, 17, 18, 
##     16, 17, 23, 18, 21, 19, 22, 19, 16, 20, 17, 21, 19, 19, 17, 
##     18, 18, 16, 18, 18, 17, 19, 18, 20, 19, 19, 21, 22, 23, 20, 
##     17, 19, 30, 22, 25, 26, 25, 23, 21, 22, 22, 16, 19, 19, 18, 
##     18, 21, 21, 14, 22, 19, 25, 29, 23, 18, 25, 25, 28, 21, 25, 
##     23, 20, 17, 17, 20, 17, 18, 18, 18, 22, 22, 23, 22, 18, 22, 
##     23, 22, 20, 23, 23, 20, 22, 19, 19, 21, 23, 20, 23, 23, 22, 
##     23, 24, 23, 21, 24, 24, 26, 24, 24, 26, 26, 25, 25, 25, 25, 
##     25, 25, 27, 26, 28, 29, 27, 27, 30, 27, 29, 27, 28, 31, 31, 
##     28, 27, 27, 28, 27, 25, 27, 23, 21, -170, -168, -170, -168, 
##     -171, -167, -169, -170, -168, -164, -163, -167, -172, -177, 
##     -172, -177, -176, -176, -178, -178, -173, -173, -174, -169, 
##     -173, -171, -174, -176, -174, -174, -176, -175, -174, -174, 
##     -173, -172, -170, -169, -168, -167, -168, -166, -163, -163, 
##     -164, -166, -169, -165, -169, -165, -169, -172, -170, -173, 
##     -168, -166, -165, -165, -159, -164, -165, -167, -166, -168, 
##     -171, -172, -175, -175, -179, -174, -176, -177, -175, -175, 
##     -172, -173, -177, -176, -174, -175, -173, -170, -171, -174, 
##     -171, -173, -173, -172, -174, -172, -173, -170, -170, -169, 
##     -170, -168, -165, -162, -162, -164, -163, -166, -163, -168, 
##     -171, -173, -174, -171, -172, -173, -174, -171, -170, -171, 
##     -163, -178, -163, -171, -173, -172, -170, -169, -171, -169, 
##     -169, -172, -173, -174, -172, -172, -173, -171, -173, -170, 
##     -173, -172, -172, -171, -171, -173, -169, -173, -168, -172, 
##     -169, -166, -167, -169, -169, -169, -171, -168, -168, -171, 
##     -170, -168, -170, -170, -169, -171, -171, -173, -171, -171, 
##     -172, -170, -171, -173, -173, -171, -167, -165, -165, -170, 
##     -167, -168, -167, -169, -174, -173, -176, -175, -176, -175, 
##     -175, -176, -173, -174, -173, -174, -173, -172, -172, -169, 
##     -173, -175, -176, -170, -171, -170, -171, -172, -174, -173, 
##     -172, -173, -173, -174, -169, -174, -171, -172, -172, -173, 
##     -172, -174, -172, -173, -171, -169, -169, -171, -174, -172, 
##     -170, -170, -171, -169, -168, -171, -166, -166, -165, -162, 
##     -162, -162, -161, -161, -164, -162, -163, -163, -163, -163, 
##     -163, -164, -167, -169, -168, -173, -169, -171, -172, -171, 
##     -171, -172, -173, -170, -173, -173, -172, -172, -172, -172, 
##     -175, -171, -163, -164, -165, -167, -165, -166, -168, -169, 
##     -170, -169, -170, -171, -167, -166, -168, -166, -167, -172, 
##     -171, -167, -171, -174, -172, -170, -173, -173, -176, -176, 
##     -172, -175, -176, -175, -174, -173, -172, -171, -170, -166, 
##     -168, -166, -165, -168, -171, -169, -172, -175, -172, -174, 
##     -172, -174, -175, -175, -177, -174, -181, -178, -175, -175, 
##     -175, -173, -174, -172, -174, -174, -171, -169, -168, -174, 
##     -173, -175, -174, -171, -175, -174, -174, -175, -177, -176, 
##     -175, -175, -177, -170, -163, -171, -175, -177, -176, -177, 
##     -181, -176, -173, -173, -175, -174, -171, -168, -174, -172, 
##     -172, -171, -173, -177, -172, -171, -171, -173, -171, -174, 
##     -175, -167, -167, -167, -166, -165, -166, -162, -160, -159, 
##     -161, -162, -160, -162, -162, -160, -160, -163, -167, -165, 
##     -164, -163, -164, -166, -160, -160, -159, -161, -159, -160, 
##     -160, -160, -158, -162, -161, -160, -162, -159, -162, -162, 
##     -163, -162, -164, -164, -166, -165, -167, -167, -164, -166, 
##     -162, -161, -161, -162, -163, -160, -163, -162, -163, -163, 
##     -163, -162, -161, -163, -160, -163, -162, -163, -164, -162, 
##     -161, -159, -159, -161, -160, -159, -160, -160, -159, -159, 
##     -161, -159, -160, -161, -160, -161, -160, -159, -156, -158, 
##     -157, -160, -159, -159, -161, -163, -162, -164, -162, -162, 
##     -162, -162, -160, -163, -168, -167, -167, -166, -164, -168, 
##     -164, -166, -165, -164, -164, -165, -169, -165, -169, -166, 
##     -168, -167, -167, -165, -164, -164, -164, -163, -165, -166, 
##     -164, -164, -164, -161, -160, -160, -161, -161, -162, -164, 
##     -163, -161, -165, -161, -161, -158, -158, -158, -158, -160, 
##     -162, -158, -159, -160, -162, -161, -160, -160, -160, -161, 
##     -161, -159, -159, -158, -160, -161, -163, -166, -166, -165, 
##     -166, -165, -164, -169, -166, -164, -166, -165, -164, -163, 
##     -163, -164, -164, -165, -162, -164, -163, -164, -162, -163, 
##     -163, -164, -162, -166, -165, -161, -161, -161, -161, -162, 
##     -161, -162, -162, -161, -160, -159, -159, -160, -161, -162, 
##     -160, -160, -161, -163, -161, -161, -159, -158, -159, -158, 
##     -157, -159, -159, -160, -162, -162, -164, -168, -167, -165, 
##     -166, -165, -163, -161, -159, -163, -160, -159, -160, -160, 
##     -161, -161, -160, -162, -165, -162, -161, -159, -161, -160, 
##     -163, -163, -163, -162, -162, -161, -163, -164, -166, -162, 
##     -166, -167, -166, -165, -164, -164, -163, -162, -162, -161, 
##     -163, -163, -163, -167, -159, -159, -162, -161, -160, -160, 
##     -159, -157, -160, -159, -161, -161, -162, -160, -158, -158, 
##     -158, -161, -163, -162, -162, -165, -163, -162, -165, -165, 
##     -164, -163, -165, -160, -160, -159, -159, -155, -152, -158, 
##     29, 30, 30, 31, 27, 19, 25, 19, 17, 31, 31, 20, 11, 7, 3, 
##     3, 1, -1, -12, 1, -33, -21, -29, -28, -27, -21, -18, -19, 
##     -17, -15, -15, -11, -11, -4, -6, -10, -5, -1, 16, 18, 20, 
##     28, 32, 43, 45, 62, 66, 72, 78, 80, 85, 86, 94, 94, 95, 93, 
##     93, 92, 81, 77, 77, 72, 66, 61, 54, 49, 30, 5, 1, 1, -9, 
##     -33, -37, -30, -33, -42, -52, -49, -47, -38, -33, -36, -36, 
##     -32, -30, -22, -21, -15, -19, -20, -17, -15, -14, -8, -9, 
##     -15, -10, -2, 6, 17, 22, 31, 57, 69, 71, -15, -25, -38, -32, 
##     -38, -41, -41, -30, -28, -26, -20, -12, -8, -6, -5, -2, 3, 
##     10, 17, 33, 34, 39, 46, 59, 61, 65, 79, 81, 85, 94, 94, 93, 
##     92, 95, 98, 86, 84, 82, 77, 72, 67, 62, 55, 51, 47, 43, 27, 
##     -4, -15, -16, -17, 14, 8, -6, -12, -19, -29, -33, -29, -23, 
##     -48, -52, -60, -66, -44, -49, -53, -55, -41, -37, -37, -38, 
##     -38, -32, -27, -25, -25, -26, -29, -31, -3, 12, 23, 31, 33, 
##     37, 47, 49, 72, 79, 88, 95, 97, 98, 98, 103, 102, 98, 100, 
##     99, 90, 90, 89, 88, 64, 59, 55, 48, 27, 17, -20, -27, -26, 
##     -36, -35, -36, -48, -47, -53, -45, -46, -47, -46, -46, -48, 
##     -48, -37, -30, -32, -29, -27, -24, -21, -29, -16, -11, -5, 
##     31, 36, 39, 43, 47, 51, 55, 67, 82, 90, 92, 93, 90, 87, 85, 
##     84, 80, 81, 77, 74, 71, 62, 47, 44, 41, 36, 29, 24, 17, 3, 
##     -4, -15, -28, -29, -13, -22, -30, -35, -48, -31, -32, -27, 
##     -25, -25, -21, -23, -17, -14, -14, -8, 23, 27, 30, 33, 39, 
##     45, 52, 62, 78, 80, 84, 88, 93, 91, 90, 92, 92, 77, 70, 60, 
##     58, 44, 36, 25, 14, 5, -7, -4, -1, -15, -22, -17, -15, -25, 
##     -32, -33, -34, -32, -37, -31, -28, -33, -42, -32, -29, -27, 
##     -30, -24, -22, -17, -17, -25, -23, -15, -8, 12, 24, 27, 33, 
##     38, 40, 58, 64, 73, 78, 88, 85, 89, 91, 90, 92, 94, 89, 91, 
##     92, 77, 74, 58, 55, 50, 28, 23, 20, -1, -4, -10, -17, -24, 
##     -28, -30, -31, -32, -42, -54, -51, -44, -53, -50, -53, -41, 
##     -38, -47, -48, -50, -45, -37, -36, -36, -38, -25, -31, -20, 
##     -27, -27, -21, -5, 7, 17, 24, 28, 32, 32, 33, 37, 39, 38, 
##     37, 40, 42, 40, 38, 46, 47, 46, 44, 41, 39, 33, 34, 34, 32, 
##     29, 29, 29, 30, 31, 31, 30, 30, 30, 30, 29, 31, 31, 29, 30, 
##     30, 30, 28, 25, 27, 29, 21, 19, 23, 24, 20, 20, 21, 26, 28, 
##     27, 22, 25, 21, 21, 20, 21, 20, 18, 21, 21, 17, 17, 18, 20, 
##     21, 19, 19, 20, 19, 19, 21, 19, 19, 20, 18, 19, 18, 19, 21, 
##     21, 24, 20, 18, 24, 26, 26, 23, 29, 28, 23, 21, 21, 21, 21, 
##     21, 18, 19, 19, 19, 18, 19, 16, 19, 18, 19, 19, 17, 19, 19, 
##     20, 21, 21, 23, 23, 23, 22, 20, 20, 21, 19, 20, 20, 21, 20, 
##     23, 19, 21, 20, 18, 20, 20, 20, 21, 19, 22, 19, 19, 19, 19, 
##     22, 21, 23, 25, 26, 25, 24, 20, 20, 19, 19, 17, 20, 18, 19, 
##     19, 18, 18, 18, 19, 18, 17, 18, 15, 18, 19, 19, 20, 24, 18, 
##     20, 20, 19, 19, 22, 21, 19, 20, 21, 19, 20, 21, 19, 21, 21, 
##     23, 24, 27, 28, 28, 26, 22, 23, 24, 21, 21, 22, 21, 18, 14, 
##     16, 22, 17, 18, 18, 18, 20, 22, 28, 26, 19, 20, 19, 19, 19, 
##     20, 20, 19, 21, 22, 24, 21, 22, 23, 26, 29, 30, 30, 26, 25, 
##     20, 23, 21, 23, 22, 23, 25, 21, 27, 22, 22, 26, 23, 23, 28, 
##     25, 25, 24, 22, 23, 22, 20, 22, 22, 21, 21, 19, 22, 22, 26, 
##     24, 23, 26, 26, 30, 27, 30, 31, 29, 28, 24, 23, 20, 17, 17, 
##     19, 21, 21, 20, 21, 23, 25, 22, 21, 22, 23, 25, 23, 23, 27, 
##     27, 31, 27, 26, 24, 25, 24, 21, 25, 21, 18, 18, 17, 18, 19, 
##     22, 16, 13, 20, 20, 20, 22, 21, 18, 20, 20, 19, 17, 21, 21, 
##     18, 17, 20, 22, 23, 23, 22, 42, 42, 44, 41, 43, 38, 44, 42, 
##     42, 41, 47, 44, 46, 43, 43, 46, 39, 45, 39, 41, 37, 39, 41, 
##     39, 42, 40, 38, 40, 39, 41, 36, 40, 38, 41, 39, 40, 40, 43, 
##     46, 43, 45, 43, 40, 43, 43, 42, 37, 38, 37, 40, 39, 36, 37, 
##     38, 40, 37, 40, 41, 38, 42, 38, 40, 40, 38, 42, 40, 40, 37, 
##     39, 37, 39, 40, 41, 42, 43, 47, 45, 42, 42, 44, 37, 37, 36, 
##     41, 39, 39, 38, 38, 41, 39, 42, 40, 36, 40, 38, 37, 40, 40, 
##     37, 38, 40, 38, 37, 39, 36, 37, 41, 39, 36, 40, 40, 41, 41, 
##     47, 44, 44, 46, 48, 45, 38, 40, 44, 39, 39, 40, 37, 38, 39, 
##     38, 36, 42, 46, 46, 45, 45, 38, 40, 44, 42, 38, 37, 35, 35, 
##     33, 38, 36, 33, 38, 40, 37, 38, 37, 39, 40, 36, 36, 38, 35, 
##     36, 35, 37, 37, 36, 37, 36, 40, 42, 40, 39, 43, 48, 44, 42, 
##     42, 44, 43, 41, 35, 37, 38, 38, 36, 35, 36, 43, 42, 42, 40, 
##     39, 36, 36, 37, 38, 37, 39, 38, 37, 34, 37, 39, 39, 41, 38, 
##     39, 40, 39, 38, 38, 38, 37, 39, 40, 37, 36, 37, 34, 38, 35, 
##     34, 37, 38, 40, 33, 40, 35, 34, 37, 35, 41, 38, 36, 37, 40, 
##     40, 44, 47, 44, 37, 41, 42, 44, 43, 40, 39, 37, 41, 39, 39, 
##     38, 36, 36, 35, 35, 39, 39, 39, 38, 34, 34, 30, 32, 39, 38, 
##     37, 34, 38, 37, 37, 36, 38, 43, 46, 44, 43, 40, 34, 41, 40, 
##     37, 39, 40, 38, 37, 38, 37, 39, 38, 39, 39, 38, 40, 41, 42, 
##     42, 41, 43, 41, 44, 41, 40, 50, 43, 43, 41, 41, 41, 41, 39, 
##     49, 48, 43, 44, 45, 44, 47, 46, 45, 46, 45, 47, 46, 50, 49, 
##     45, 45, 45, 42, 43, 42, 44, 42, 41, 47, 45, 47, 43, 46, 46, 
##     46, 46, 47, 44, 44, 42, 42, 43, 44, 39, 40, 40, 44, 46, 41, 
##     44, 42, 44, 42, 41, 42, 43, 41, 43, 43, 44, 42, 43, 45, 46, 
##     46, 47, 45, 46, 48, 48, 46, 48, 48, 49, 44, 47, 45, 45, 42, 
##     43, 43, 40, 38, 37, 36, 37, 40, 39, 42, 46, 53, 52, 45, 45, 
##     42, 46, 47, 46, 46, 41, 41, 41, 36, 38, 42, 43, 41, 49, 52, 
##     50, 47, 45, 43, 45, 43, 39, 42, 46, 46, 44, 43, 45, 44, 45, 
##     44, -159, -159, -159, -158, -158, -159, -158, -158, -158, 
##     -157, -157, -156, -158, -156, -157, -156, -156, -155, -157, 
##     -161, -156, -157, -159, -159, -158, -159, -161, -160, -160, 
##     -160, -159, -159, -160, -160, -160, -159, -161, -159, -161, 
##     -161, -158, -159, -157, -156, -157, -156, -156, -157, -158, 
##     -156, -156, -157, -158, -159, -158, -158, -156, -158, -156, 
##     -155, -158, -159, -160, -160, -160, -158, -160, -158, -157, 
##     -155, -160, -156, -158, -158, -158, -158, -159, -159, -159, 
##     -159, -160, -160, -160, -159, -157, -155, -154, -160, -160, 
##     -159, -159, -158, -159, -159, -159, -157, -157, -158, -157, 
##     -156, -157, -159, -156, -158, -158, -157, -159, -159, -158, 
##     -157, -158, -159, -159, -160, -159, -159, -159, -159, -161, 
##     -159, -160, -160, -158, -158, -158, -159, -158, -160, -156, 
##     -155, -157, -156, -156, -158, -160, -158, -160, -160, -159, 
##     -159, -159, -158, -159, -158, -160, -160, -159, -159, -159, 
##     -161, -161, -159, -160, -160, -160, -161, -160, -160, -161, 
##     -161, -159, -159, -160, -160, -160, -159, -159, -160, -159, 
##     -159, -159, -160, -164, -159, -159, -159, -160, -159, -160, 
##     -160, -159, -160, -159, -159, -158, -158, -158, -158, -158, 
##     -157, -158, -157, -159, -158, -158, -158, -159, -159, -158, 
##     -160, -159, -158, -158, -157, -159, -158, -159, -161, -159, 
##     -158, -155, -158, -158, -156, -155, -157, -157, -159, -159, 
##     -158, -158, -160, -159, -158, -159, -157, -160, -160, -160, 
##     -162, -160, -160, -159, -161, -163, -160, -159, -159, -159, 
##     -158, -160, -161, -159, -159, -160, -159, -159, -159, -160, 
##     -161, -159, -159, -160, -160, -161, -159, -160, -158, -158, 
##     -158, -157, -154, -154, -155, -155, -156, -158, -159, -158, 
##     -158, -158, -160, -160, -160, -159, -157, -158, -157, -159, 
##     -159, -159, -160, -160, -161, -160, -161, -158, -158, -158, 
##     -160, -159, -159, -158, -158, -158, -157, -158, -158, -154, 
##     -153, -151, -151, -159, -164, -176, -178, -173, -169, -163, 
##     -165, -172, -172, -164, -161, -158, -159, -159, -160, -161, 
##     -160, -161, -160, -158, -157, -165, -159, -158, -154, -153, 
##     -156, -149, -147, -153, -151, -154, -153, -158, -156, -156, 
##     -153, -155, -157, -169, -173, -164, -163, -162, -163, -161, 
##     -160, -160, -160, -161, -160, -160, -157, -158, -156, -165, 
##     -163, -158, -155, -156, -154, -157, -157, -163, -157, -158, 
##     -159, -159, -159, -159, -159, -155, -158, -156, -156, -157, 
##     -157, -158, -156, -157, -158, -159, -158, -159, -159, -160, 
##     -158, -160, -159, -159, -158, -158, -160, -162, -160, -160, 
##     -159, -156, -155, -156, -159, -159, -158, -159, -159, -158, 
##     -159, -159, -157, -158, -158, -157, -159, -158, -158, -158, 
##     -159, -158, -159, -158, -158, -158, -158, -157, -155, -157, 
##     -155, -153, -155, -156, -156, -158, -157, -158, -159, -158, 
##     -158, -155, -156, -156, -155, -155, -156, -157, -156, -158, 
##     -156, -158, -157, -158, -156, -155, -154, -159, -159, -158, 
##     -160, -159, -161, -160, -159, -158, -159, -160, -159, -160, 
##     -160, -159, -158, -159, -160, -160, -160, -160, -160, -160, 
##     -160, -160, -161, -159, -161, -159, -160, -162, -161, -160, 
##     -159, -161, -160, -159, -160, -158, -159, -158, -160, -162, 
##     -160, -161, -159, -161, -162, -161, -161, -159, -160, -161, 
##     -160, -160, -160, -160, -160, -159, -165, -164, -163, -164, 
##     -167, -169, -169, -164, -166, -163, -164, -160, -160, -159, 
##     -163, -161, -153, -154, -153, -153, -154, -157, -157, -157, 
##     -154, -156, -158, -167, -163, -162, -160, -164, -165, -168, 
##     -163, -161, -160, -160, -162, -159, -160, -162, -161, -161, 
##     -161, -163, -163, -160, -164, -165, -166, -165, -162, -163, 
##     -160, -160, -160, -161, -157, -159, -162, -161, -161, -160, 
##     -162, -162, -162, -160, -161, -164, -162, -165, -166, -164, 
##     -162, -166, -163, -164, -168, -166, -164, -166, -165, -163, 
##     -163, -164, -164, -165, -166, -163, -161, -169, -166, -162, 
##     -161, -161, -163, -165, -164, -162, -160, -161, -160, -159, 
##     -160, -158, -158, -159, -158, -161, -159, -160, -160, -161, 
##     -159, -159, -161, -163, -161, -161, -161, -159, -159, -160, 
##     -161, -161, -159, -160, -160, -161, -160, -159, -159, -160, 
##     -161, -158, -159, -160, -160, -160, -160, -160, -157, -160, 
##     -159, -157, -158, -157, -158, -160, -160, -160, -158, -160, 
##     -162, -161, -161, -160, -160, -161, -162, -160, -161, -160, 
##     -159, -159, -163, -161, -160, -159, -158, -159, -161, -162, 
##     -160, -160, -159, -161, -162, -161, -160, -160, -160, -160, 
##     -161, -160, -160, -160, -160, -161, -163, -162, -163, -163, 
##     -160, -160, -162, -161, -161, -159, -158, -160, -161, -161, 
##     -161, -161, -159, -159, -160, -159, -160, -160, -161, -160, 
##     -158, -161, -159, -162, -161, -160, -160, -161, -161, -160, 
##     -161, -159, -160, -163, -161, -162, -164, -167, -167, -165, 
##     -165, -163, -163, -163, -166, -165, -166, -165, -165, -164, 
##     -163, -162, -163, -162, -161, -163, -165, -164, -163, -160, 
##     -161, -159, -160, -161, -159, -160, -158, -159, -161, -160, 
##     -158, -160, -161, -160, -161, -161, -161, -161, -162, -160, 
##     -159, -160, -159, -160, -158, -160, -162, -160, -160, -161, 
##     -163, -163, -162, -163, -163, -163, -163, -163, -162, -160, 
##     -161, -160, -162, -160, -160, -160, -161, -162, -161, -160, 
##     -161, -160, -161, -160, -160, -162, -161, -160, -160, -161, 
##     -161, -161, -163, -162, -157, -160, -158, -157, -157, -159, 
##     -158, -161, -161, -158, -155, -157, -159, -160, -160, -158, 
##     -158, -158, -160, -156, -155, -157, 42, 39, 39, 42, 43, 46, 
##     45, 45, 47, 48, 45, 48, 44, 47, 48, 43, 48, 49, 44, 42, 44, 
##     44, 46, 47, 47, 40, 41, 35, 38, 32, 39, 36, 36, 36, 38, 40, 
##     39, 41, 37, 41, 41, 36, 37, 40, 41, 42, 37, 39, 40, 40, 37, 
##     38, 41, 36, 43, 44, 39, 37, 38, 39, 40, 39, 40, 40, 38, 40, 
##     39, 40, 44, 40, 40, 41, 47, 47, 46, 41, 39, 38, 41, 39, 33, 
##     38, 35, 42, 39, 37, 40, 42, 40, 41, 39, 39, 38, 23, 38, 45, 
##     51, 83, 88, 93, 95, 96, 97, 95, 93, 89, 80, 59, 58, 53, 43, 
##     28, -22, -28, -28, -37, -44, -50, -45, -46, -50, -40, -44, 
##     -43, -40, -28, -21, -20, -21, -22, -22, -24, -32, -24, -21, 
##     -16, 1, 6, 54, 65, 72, 77, 83, 86, 90, 96, 100, 100, 103, 
##     103, 104, 102, 101, 100, 100, 97, 95, 86, 82, 72, 57, 53, 
##     46, 30, 28, 17, 17, 16, 12, -18, -38, -37, -38, -40, -37, 
##     -35, -29, -30, -25, -25, -21, -18, -15, -14, -14, -11, -11, 
##     -13, 5, 14, 20, 33, 36, 49, 52, 88, 92, 94, 94, 92, 91, 91, 
##     88, 84, 81, 77, 62, 51, 46, 38, 33, 11, -1, -15, -25, -11, 
##     -38, -41, -42, -45, -45, -170, -170, -171, -172, -173, -173, 
##     -169, -172, -168, -168, -171, -170, -172, -167, -163, -166, 
##     -170, -163, -163, -163, -163, -161, -161, -163, -163, -162, 
##     -171, -174, -172, -163, -163, -168, -170, -172, -171, -172, 
##     -173, -174, -177, -177, -175, -177, -175, -177, -176, -176, 
##     -176, -177, -172, -176, -174, -174, -174, -171, -170, -165, 
##     -163, -163, -168, -169, -169, -168, -169, -166, -170, -167, 
##     -166, -168, -169, -167, -167, -164, -165, -163, -165, -167, 
##     -167, -168, -168, -171, -167, -168, -171, -168, -169, -167, 
##     -159, 29, 27, 22, 24, 23, 23, 20, 19, 22, 20, 20, 24, 22, 
##     21, 20, 20, 18, 19, 21, 26, 24, 26, 26, 22, 24, 28, 31, 26, 
##     24, 24, 24, 23, 19, 21, 21, 20, 18, 18, 17, 22, 20, 24, 24, 
##     21, 18, 22, 22, 21, 21, 21, 20, 23, 21, 18, 8, 7, 0, -8, 
##     -7, 12, 14, 22, 30, 65, 77, 24, 14, 34, 34, 41, 42, 39, 37, 
##     43, 38, 45, 49, 49, 52, 59, 55, 53, 54, 54, 52, 53, 51, 51, 
##     52, 52, 50, 48, 49, 47, 48, 49, 47, 42, -177, -177, -175, 
##     -172, -169, -159, -160, -155, -156, -155, -150, -147, -143, 
##     -143, -145, -144, -141, -147, -152, -148, -146, -152, -150, 
##     -159, -157, -153, -156, -170, -177, -180, -190, -210, -219, 
##     -210, -215, -217, -228, -229, -225, -238, -235, -233, -233, 
##     -242, -239, -238, -242, -236, -236, -235, -231, -220, -199, 
##     -193, -188, -190, -184, -186, -184, -177, -181, -179, -184, 
##     -184, -177, -168, -159, -156, -136, -152, -148, -139, -140, 
##     -145, -139, -141, -145, -145, -146, -153, -155, -157, -159, 
##     -159, -159, -158, -159, -155, -155, -155, -180, -191, -188, 
##     -186, -183, -181, -184, -192, -191, -189, -195, -200, -198, 
##     -196, -187, -188, -182, -170, -164, -161, -164, -167, -159, 
##     -158, -159, -156, -156, -160, -163, -162, -161, -162, -170, 
##     -172, -175, -176, -189, -205, -190, -172, -147, -122, -174, 
##     -170, -168, -172, -173, -175, -179, -148, -154, -152, -141, 
##     -143, -140, -141, -135, -138, -135, -137, -138, 13, 2, 1, 
##     2, -6, -6, -5, -4, -1, 2, -12, -14, -14, -9, -7, -3, -13, 
##     -8, -13, -9, 2, -6, -9, -4, 3, 8, 4, 5, 10, 10, -1, -4, 21, 
##     21, 22, 27, 23, 24, 33, 37, 37, 40, 46, 48, 72, 55, 55, 56, 
##     53, 54, 56, 54, 49, 47, 46, 43, 37, 30, 28, 20, 20, 17, -16, 
##     -18, -20, -17, -15, -10, -9, -10, -10, -12, -16, -18, -13, 
##     -14, -18, -20, -13, -20, -16, -23, -25, -20, -22, -19, -10, 
##     -7, -10, -14, -11, 4, 1, 10, 12, 2, 22, 19, 22, 24, 24, 29, 
##     32, 35, 41, 34, 53, 49, 47, 48, 48, 43, 45, 41, 43, 42, 43, 
##     35, 34, 32, 27, 21, 17, 15, -1, -6, -5, -11, -13, -11, -5, 
##     0, -1, -7, -7, 2, -2, -7, -6, -5, -7, -8, -9, -8, -6, -3, 
##     2, -7, 8, 9, 6, 6, 11, 15, 17, 20, 18, 20, 21, 23, 27, 25, 
##     28, 28, 38, 41, 34, 44, 48, 44, -9, -8, -7, -7, -4, 1, 0, 
##     0, 0, 0, 7, 17, 19, 19, 26, 27, 41, 40, 47, 36, 36, 36, 25, 
##     16, 11, 6, 3, 1, -9, -18, -19, -17, -16, -22, -13, -16, -15, 
##     -11, -15, -14, -12, -2, 0, -6, -8, -7, -3, -1, 2, 4, 2, 3, 
##     8, 10, 16, 21, 15, 21, 27, 44, 46, 44, 46, 48, 47, 49, 41, 
##     42, 39, 25, 16, 16, 13, 11, 9, 2, -7, -18, -13, -4, -5, -8, 
##     -6, -7, -7, -6, -4, -4, -2, 45, 44, 45, 46, 37, 36, 39, 37, 
##     38, 35, 32, 31, 20, 5, 4, 0, -4, -13, -16, -21, -22, -15, 
##     -6, -13, -8, -13, -19, -18, -20, -21, -19, -23, -21, -20, 
##     -22, -16, -20, -19, -14, -8, 0, -2, 2, 7, 11, 12, 14, 9, 
##     6, 9, 9, 20, 34, 60, 66, 52, 66, 72, 70, 72, 68, 68, 68, 
##     61, 44, 33, 32, 23, 27, 18, 14, -14, -5, 8, 1, -12, -21, 
##     -42, -37, -31, -30, -33, -33, -27, -20, -18, -16, -11, -11, 
##     -8, -8, 2, 6, 0, 8, 5, -5, 5, 2, 12, 23, 35, 38, 38, 37, 
##     41, 43, 49, 37, 40, 49, 49, 39, 30, 27, 25, 21, 17, 15, 3, 
##     -1, -3, -10, -15, -22, -28, -31, -32, -28, -24, -14, -22, 
##     -27, -33, -29, -35, -40, -41, -43, -39, -40, -36, -35, -31, 
##     -28, -27, -28, -15, -20, -11, -4, 6, -5, 4, 7, 16, 14, 12, 
##     15, 15, 15, 28, 28, 35, 34, 25, 28, 36, 36, 34, 32, 34, 35, 
##     31, 31, 32, 34, 32, 35, 30, 30, 35, 34, 33, 33, 32, 32, 35, 
##     35, 31, 33, 32, 31, 31, 31, 32, 31, 31, 34, 30, 29, 29, 30, 
##     31, 28, 28, 30, 28, 27, 27, 29, 27, 30, 29, 27, 28, 29, 28, 
##     26, 24, 24, 24, 25, 21, 22, 22, 21, 22, 21, 22, 21, 20, 20, 
##     19, 21, 22, 22, 22, 23, 21, 23, 24, 23, 26, 25, 28, 28, 27, 
##     27, -160, -161, -177, -169, -179, -180, -191, -195, -206, 
##     -217, -222, -226, -225, -222, -211, -209, -215, -217, -206, 
##     -207, -217, -225, -222, -214, -221, -209, -202, -185, -166, 
##     -164, -175, -156, -168, -169, -165, -163, -167, -172, -172, 
##     -183, -194, -191, -196, -207, -217, -216, -217, -223, -221, 
##     -215, -207, -203, -193, -196, -218, -218, -222, -208, -209, 
##     -218, -209, -210, -217, -220, -215, -212, -183, -177, -197, 
##     -193, -172, -164, -165, -167, -167, -165, -169, -170, -171, 
##     -164, -170, -168, -167, -175, -179, -183, -188, -187, -188, 
##     -189, -195, -199, -200, -209, -217, -212, -214, -218, -210, 
##     -210, -193, -196, -208, -223, -228, -224, -214, -208, -213, 
##     -211, -206, -216, -197, -178, -183, -184, -191, -188, -162, 
##     -159, -162, -166, -156, -157, -158, -157, -160, -156, -159, 
##     -157, -161, -162, -164, -173, -171, -182, -188, -194, -202, 
##     -211, -208, -206, -211, -217, -218, -220, -222, -239, -253, 
##     -246, -245, -249, -253, -251, -248, -243, -246, -242, -244, 
##     -244, -240, -233, -234, -213, -195, -193, -193, -183, -176, 
##     -170, -160, -156, -154, -159, -171, -157, -153, -150, -151, 
##     -150, -144, -146, -149, -154, -153, -152, -153, -154, -158, 
##     -157, -161, -176, -182, -179, -183, -197, -204, -219, -215, 
##     -218, -222, -226, -228, -230, -238, -243, -243, -249, -244, 
##     -247, -254, -262, -260, -256, -250, -244, -243, -243, -239, 
##     -235, -227, -212, -211, -206, -205, -199, -194, -191, -189, 
##     -182, -177, -175, -168, -163, -166, -166, -165, -162, -160, 
##     -159, -156, -155, -154, -157, -160, -161, -160, -165, -172, 
##     -173, -180, -180, -181, -185, -186, -198, -203, -210, -215, 
##     -218, -221, -223, -223, -230, -233, -228, -229, -234, -239, 
##     -241, -243, -238, -237, -236, -236, -233, -230, -230, -231, 
##     -231, -227, -228, -225, -223, -220, -222, -212, -213, -206, 
##     -204, -200, -199, -194, -193, -189, -188, -188, -185, -175, 
##     -173, -174, -172, -170, -169, -167, -164, -164, -164, -163, 
##     -165, -168, -170, -172, -176, -176, -172, -172, -173, -176, 
##     -175, -178, -190, -191, -189, -187, -186, -188, -191, -191, 
##     -189, -186, -193, -204, -213, -215, -214, -214, -213, -227, 
##     -226, -224, -241, -252, -249, -251, -255, -252, -243, -235, 
##     -239, -244, -241, -239, -230, -226, -227, -222, -220, -221, 
##     -208, -201, -194, -190, -188, -182, -178, -172, -166, -164, 
##     -151, -149, -139, -143, -139, -142, -142, -137, -134, -130, 
##     -131, -136, -135, -135, -145, -150, -153, -154, -158, -160, 
##     -161, -168, -179, -182, -190, -212, -204, -200, -213, -217, 
##     -213, -220, -221, -234, -246, -244, -250, -247, -244, -242, 
##     -241, -244, -243, -240, -242, -239, -238, -239, -237, -228, 
##     -226, -222, -221, -218, -215, -214, -208, -202, -197, -197, 
##     -181, -182, -166, -160, -159, -151, -145, -157, -159, -158, 
##     -155, -155, -157, -160, -163, -167, -166, -171, -183, -185, 
##     -191, -201, -201, -196, -213, -220, -220, -220, -219, -215, 
##     -244, -244, -241, -241, -244, -247, -243, -245, -240, -257, 
##     -266, -275, -269, -263, -263, -259, -254, -257, -242, -237, 
##     -235, -243, -258, -242, -240, -243, -239, -234, -230, -225, 
##     -222, -219, -218, -212, -202, -205, -193, -186, -185, -173, 
##     -170, -161, -155, -155, -150, -143, -137, -137, -136, -137, 
##     -145, -148, -150, -150, -145, -145, -149, -179, -186, -184, 
##     -192, -199, -201, -201, -198, -197, -199, -213, -221, -210, 
##     -208, -228, -242, -235, -247, -251, -250, -247, -237, -247, 
##     -251, -247, -243, -245, -247, -245, -242, -232, -228, -229, 
##     -230, -221, -221, -200, -199, -197, -193, -190, -180, -161, 
##     -156, -155, -157, -154, -136, -139, -140, -144, -143, -139, 
##     -140, -145, -152, -152, -157, -159, -164, -164, -167, -170, 
##     -174, -178, -179, -180, -185, -189, -257, -254, -253, -252, 
##     -251, -252, -245, -244, -239, -233, -228, -231, -226, -212, 
##     -200, -186, -182, -176, -162, -160, -158, -156, -156, -158, 
##     -155, -150, -148, -151, -151, -153, -151, -151, -152, -153, 
##     -153, -153, -159, -164, -167, -168, -169, -173, -176, -181, 
##     -194, -207, -213, -223, -232, -242, -243, -246, -243, -246, 
##     -249, -252, -251, -253, -253, -252, -253, -249, -247, -243, 
##     -246, -245, -242, -229, -220, -217, -211, -205, -201, -190, 
##     -187, -189, -183, -175, -167, -165, -160, -164, -157, -161, 
##     -164, -164, -162, -163, -165, -170, -173, -174, -179, -181, 
##     -181, -192, -198, -213, -225, -220, -220, -220, -222, -224, 
##     -226, -242, -244, -241, -248, -247, -248, -252, -248, -248, 
##     -243, -253, -257, -262, -261, -265, -251, -247, -244, -239, 
##     -233, -230, -230, -222, -209, -183, -182, -179, -180, -177, 
##     -172, -166, -169, -162, -145, -146, -150, -151, -151, -148, 
##     -144, -146, -150, -154, -154, -154, -156, -158, -156, -154, 
##     -157, -158, -155, -159, -159, -160, -159, -160, -161, -161, 
##     -164, -159, -162, -171, -171, -172, -177, -178, -186, -183, 
##     -180, -181, -183, -176, -174, -170, -166, -160, -163, -159, 
##     -162, -164, -165, -158, -158, -160, -161, -159, -155, -159, 
##     -161, -174, -171, -169, -164, -167, -165, -165, -161, -162, 
##     -161, -161, -164, -165, -164, -163, -161, -162, -161, -160, 
##     -157, -152, -148, -159, -173, -160, -160, -160, -161, -165, 
##     -166, -164, -163, -162, -163, -160, -160, -163, -163, -165, 
##     28, 29, 28, 30, 29, 27, 26, 26, 27, 28, 30, 29, 28, 24, 25, 
##     24, 26, 23, 24, 24, 23, 24, 25, 25, 27, 25, 25, 27, 26, 26, 
##     24, 24, 27, 28, 29, 26, 28, 28, 28, 29, 29, 29, 29, 29, 29, 
##     30, 31, 30, 28, 28, 29, 28, 30, 28, 30, 24, 28, 28, 26, 27, 
##     28, 29, 30, 28, 30, 29, 28, 29, 28, 27, 26, 26, 26, 28, 29, 
##     28, 28, 27, 27, 30, 31, 30, 30, 28, 27, 23, 27, 26, 24, 24, 
##     28, 25, 32, 31, 30, 28, 28, 29, 28, 27, 27, 30, 26, 27, 25, 
##     26, 21, 26, 24, 26, 27, 26, 29, 29, 31, 29, 31, 29, 26, 28, 
##     32, 30, 26, 26, 28, 27, 27, 27, 25, 27, 27, 28, 28, 28, 29, 
##     30, 31, 32, 32, 34, 32, 30, 30, 27, 25, 26, 24, 18, 22, 20, 
##     21, 23, 25, 25, 23, 24, 24, 23, 26, 28, 23, 22, 32, 27, 26, 
##     26, 24, 27, 27, 25, 23, 25, 27, 26, 28, 30, 33, 33, 31, 33, 
##     32, 34, 31, 30, 26, 23, 23, 26, 28, 24, 22, 22, 21, 21, 27, 
##     26, 24, 26, 25, 26, 25, 27, 28, 27, 26, 25, 24, 28, 25, 28, 
##     25, 24, 24, 28, 30, 31, 31, 31, 30, 34, 28, 29, 29, 27, 27, 
##     29, 28, 28, 23, 25, 25, 23, 24, 26, 24, 26, 25, 29, 30, 28, 
##     28, 28, 26, 27, 28, 29, 28, 25, 25, 29, 28, 29, 28, 31, 30, 
##     32, 33, 32, 31, 33, 31, 31, 30, 29, 28, 30, 29, 27, 28, 27, 
##     25, 22, 24, 27, 28, 26, 26, 26, 26, 23, 22, 25, 23, 25, 27, 
##     27, 27, 29, 27, 25, 30, 30, 30, 27, 27, 28, 28, 27, 29, 28, 
##     28, 30, 30, 27, 31, 31, 32, 30, 30, 31, 32, 33, 35, 33, 29, 
##     30, 32, 32, 31, 30, 31, 29, 28, 29, 28, 26, 23, 24, 23, 26, 
##     25, 28, 25, 24, 25, 25, 26, 27, 28, 30, 30, 29, 30, 31, 30, 
##     32, 32, 33, 32, 32, 30, 31, 33, 31, 30, 31, 32, 30, 30, 30, 
##     32, 31, 29, 30, 30, 30, 29, 30, 29, 30, 30, 29, 30, 30, 30, 
##     30, 30, 29, 30, 29, 29, 29, 29, 28, 27, 27, 26, 29, 27, 27, 
##     28, 28, 28, 28, 28, 29, 28, 30, 30, 28, 29, 29, 29, 28, 28, 
##     29, 28, 38, 34, -9, -15, -19, -5, -2, -2, -8, -28, -31, 49, 
##     2, 0, 43, 81, 105, 57, 40, 30, 14, 13, 44, 46, 45, 45, 47, 
##     45, 45, 43, 45, 45, 42, 42, 45, 45, 45, 42, 41, 43, 44, 44, 
##     45, 42, 42, 42, 44, 42, 43, 41, 43, 45, 46, 42, 41, 45, 44, 
##     42, 43, 45, 44, 43, 46, 40, 30, 33, 26, 21, 21, 12, 4, 10, 
##     14, 20, 25, 31, 28, 21, 18, 19, 21, 24, 18, 12, 16, 21, 19, 
##     21, 20, 24, 72, 31, 25, 43, 65, 50, 41, 33, 31, 32, 29, -2, 
##     -7, 18, 22, 16, 35, 8, 6, 18, -8, -9, 11, 17, 2, -2, -4, 
##     7, 16, 18, 17, 15, 17, 18, 14, -6, -2, -1, 17, 23, 38, 49, 
##     36, 43, 61, 54, 43, 32, 35, 39, 35, 29, 22, 21, 1, -2, -21, 
##     -23, -12, 1, -11, 1, 16, 13, 5, 0, -1, 4, 16, 16, 19, 2, 
##     8, 25, 23, 20, 32, 38, 45, 13, 39, 53, 46, 44, 44, 36, 26, 
##     25, 26, 27, 26, 18, 19, 4, 1, -16, 9, 1, 9, 2, -7, -2, 1, 
##     8, 8, 12, 16, 19, 21, 16, 21, 20, 36, 31, 18, 37, 39, 44, 
##     32, 41, 32, 21, 24, 17, 7, 3, -4, 8, 3, -7, 3, -10, -5, -9, 
##     -2, -1, -7, 12, 7, 22, 23, 27, 37, 41, 34, 18, 19, 28, 40, 
##     56, 50, 46, 47, 48, 41, 36, 37, 37, 31, 27, 25, 19, 21, 19, 
##     16, 13, 16, -2, -8, -9, -8, 3, 11, 8, 0, -2, -7, -7, -2, 
##     4, 3, 5, 7, 17, 19, 22, 21, 23, 25, 24, 47, 46, 29, 26, 37, 
##     51, 52, 46, 44, 37, 36, 39, 28, 25, 22, 18, 15, 9, 3, 2, 
##     16, 7, -18, 3, -1, 15, 6, 8, 3, 7, 10, 13, 18, 20, 24, 20, 
##     19, 19, 18, 35, 39, 35, 36, 46, 37, 37, 41, 34, 23, 39, 47, 
##     43, 35, 32, 31, 29, 24, 21, 16, 13, 8, 20, 20, 26, 25, 19, 
##     21, 22, 25, 31, 26, 25, 28, 23, 28, 24, 18, 36, 37, 40, 42, 
##     40, 37, 38, 37, 40, 23, 26, 26, 30, 44, 43, 44, 45, 43, 40, 
##     41, 40, 43, 56, 43, 43, 43, 49, 46, 49, 49, 49, 47, 46, 47, 
##     50, 47, 48, 48, 45, 48, 46, 47, 47, 47, 46, 45, 45, 44, 42, 
##     46, 45, 46, 45, 42, 42, 44, 43, 44, 44, 43, 43, 44, 44, 47, 
##     48, 45, 48, 45, -154, -157, -157, -156, -157, -159, -159, 
##     -160, -163, -162, -173, -174, -167, -184, -194, -187, -183, 
##     -193, -186, -188, -198, -204, -210, -238, -245, -250, -237, 
##     -239, -232, -230, -242, -240, -233, -238, -233, -232, -236, 
##     -237, -235, -232, -229, -212, -219, -221, -222, -219, -206, 
##     -198, -195, -188, -184, -174, -171, -172, -167, -166, -164, 
##     -165, -164, -157, -158, -158, -156, -155, -157, -151, -151, 
##     -148, -142, -142, -141, -131, -143, -143, -144, -145, -158, 
##     -158, -157, -159, -158, -167, -183, -189, -192, -204, -210, 
##     -218, -225, -224, -221, -222, -225, -236, -236, -235, -232, 
##     -236, -241, -239, -245, -243, -242, -240, -246, -228, -225, 
##     -223, -220, -218, -211, -202, -190, -184, -180, -181, -178, 
##     -176, -172, -166, -165, -162, -159, -159, -159, -157, -157, 
##     -157, -161, -148, -144, -143, -146, -150, -153, -154, -160, 
##     -159, -160, -163, -174, -176, -176, -185, -192, -196, -195, 
##     -216, -224, -215, -224, -228, -228, -232, -233, -235, -234, 
##     -234, -228, -231, -239, -230, -229, -226, -225, -217, -208, 
##     -199, -201, -197, -194, -191, -181, -182, -185, -184, -184, 
##     -175, -172, -171, -167, -166, -164, -162, -162, -161, -158, 
##     -159, -164, -165, -166, -165, -153, -152, -153, -160, -164, 
##     -158, -158, -163, -161, -173, -187, -193, -189, -197, -203, 
##     -212, -212, -215, -215, -218, -223, -220, -219, -226, -228, 
##     -234, -237, -250, -248, -249, -248, -248, -233, -228, -224, 
##     -224, -222, -219, -210, -208, -195, -186, -184, -182, -177, 
##     -174, -173, -165, -187, -198, -203, -210, -211, -210, -221, 
##     -229, -226, -227, -229, -221, -225, -226, -230, -230, -231, 
##     -234, -233, -231, -233, -227, -222, -221, -221, -216, -217, 
##     -218, -195, -184, -182, -180, -170, -164, -163, -161, -154, 
##     -144, -146, -143, -148, -151, -147, -147, -149, -145, -151, 
##     -158, -158, -171, -177, -192, -200, -184, -189, -188, -190, 
##     -190, -214, -214, -226, -227, -233, -234, -229, -227, -227, 
##     -227, -226, -222, -223, -223, -217, -221, -220, -217, -221, 
##     -222, -222, -222, -216, -212, -212, -210, -208, -193, -189, 
##     -159, -159, -168, -176, -170, -188, -203, -199, -201, -214, 
##     -210, -209, -218, -218, -222, -225, -223, -223, -222, -234, 
##     -232, -238, -239, -242, -240, -230, -224, -226, -223, -217, 
##     -209, -207, -199, -197, -189, -185, -182, -176, -174, -176, 
##     -174, -168, -163, -159, -155, -155, -153, -156, -161, -160, 
##     -161, -159, -168, -167, -158, -159, -168, -175, -176, -178, 
##     -186, -190, -196, -208, -207, -213, -217, -219, -221, -221, 
##     -227, -240, -237, -239, -240, -239, -233, -231, -232, -236, 
##     -237, -242, -236, -233, -230, -224, -226, -228, -226, -222, 
##     -224, -216, -206, -204, -199, -151, -147, -147, -145, -146, 
##     -150, -155, -157, -160, -173, -177, -188, -193, -198, -211, 
##     -218, -216, -225, -224, -224, -226, -224, -194, -190, -180, 
##     -179, -179, -179, -174, -171, -166, -162, -162, -159, -158, 
##     -150, -148, -154, -153, -152, -176, -177, -176, -174, -169, 
##     -164, -163, -161, -161, -156, -149, -150, -149, -157, -152, 
##     -151, -152, -156, -160, -159, -156, -156, -156, -154, -156, 
##     -158, -163, -166, -169, -167, -163, -164, -164, -162, -161, 
##     -167, -165, -158, -152, -148, -145, -149, -150, -162, -170, 
##     -166, -187, -218, -227, -226, -197, -181, -175, -206, -209, 
##     -186, -187, -179, -176, -174, -177, -180, -183, -172, -175, 
##     -178, -180, -181, -188, -196, -201, -210, -212, -215, -215, 
##     -220, -219, -222, -222, -225, -229, -194, -201, -207, -212, 
##     -215, -223, -224, -221, -210, -209, -213, -221, -228, -228, 
##     -229, -233, -226, -226, -227, -224, -227, -219, -219, -215, 
##     -209, -217, -190, -171, -196, -191, -185, -180, -170, -174, 
##     -165, -168, -175, -177, -175, -179, -175, -176, -170, -174, 
##     -184, -198, -194, -189, -199, -215, -218, -216, -202, -213, 
##     -219, -222, -219, -221, -210, -228, -237, -241, -229, -221, 
##     -224, -225, -222, -211, -209, -216, -223, -225, -214, -205, 
##     -188, -168, -191, -176, -173, -172, -170, -179, -186, -166, 
##     -166, -180, -161, -165, -174, -174, -181, -188, -190, -202, 
##     -216, -218, -225, -227, -224, -233, -221, -186, -186, -184, 
##     -187, -191, -202, -206, -201, -203, -202, -205, -232, -229, 
##     -232, -238, -246, -235, -227, -229, -214, -220, -225, -179, 
##     -174, -169, -179, -185, -188, -189, -194, -190, -195, -212, 
##     -206, -210, -217, -219, -215, -212, -214, -211, -217, -228, 
##     -228, -228, -228, -229, -229, -232, -234, -235, -226, -221, 
##     -211, -206, -209, -221, -227, -180, -210, -223, -178, -167, 
##     -166, -181, -179, -172, -174, -204, -204, -214, -207, -199, 
##     -203, -209, -207, -203, -201, -202, -195, -194, -198, -212, 
##     -204, -200, -193, -181, -179, -189, -202, -201, -192, -188, 
##     -187, -190, -194, -195, -197, -193, -192, -194, -195, -195, 
##     -197, -197, -202, -200, -201, 45, 48, 41, 42, 46, 42, 46, 
##     44, 44, 44, 44, 44, 45, 46, 45, 43, 46, 44, 42, 43, 44, 47, 
##     44, 43, 47, 45, 43, 45, 44, 39, 45, 41, 43, 43, 42, 45, 44, 
##     46, 47, 49, 50, 47, 44, 40, 42, 41, 42, 46, 44, 47, -193, 
##     -194, -196, -203, -221, -222, -223, -233, -246, -254, -254, 
##     -256, -266, -268, -266, -265, -264, -264, -260, -256, -256, 
##     45, 52, 50, 47, 48, 51, 47, 45, 48, 43, 45, 45, 44, 44, 48, 
##     48, 46, 47, 46, 48, 45, 48, 49, 45, 45, 33, 34, 31, 27, 23, 
##     19, 19, 20, 10, 10, 17, 21, 19, 14, 20, 20, 20, 21, 19, 18, 
##     20, 19, 19, 19, 23, 21, 29, 29, 28, 23, 14, 5, -1, 6, -1, 
##     15, 21, 25, 29, 30, 25, 25, 26, 26, 30, 33, 34, 14, 20, 16, 
##     16, 19, 42, 42, 40, 43, 46, 44, 42, 44, 47, 48, 48, 48, 49, 
##     49, 49, 48, 47, 45, 46, 48, 46, 43, 40, 43, 43, 42, 43, 43, 
##     43, 29, 27, 29, 30, 30, 30, 28, 29, 29, 28, 27, 27, 29, 35, 
##     38, 26, 11, 5, 4, 20, 27, 31, 29, 28, 24, 27, 30, 29, 31, 
##     31, 32, 31, 33, 32, 32, 33, 33, 30, 28, 31, 29, 30, 29, 31, 
##     28, 28, 20, 22, 20, 22, 22, 25, 25, 22, 21, 21, 26, 25, 25, 
##     24, 26, 27, 24, 24, 27, 29, 27, 23, 23, 26, 25, 24, -184, 
##     -183, -180, -185, -196, -202, -200, -203, -202, -203, -207, 
##     -203, -204, -205, -203, -205, -206, -203, -201, -203, -204, 
##     -201, -201, -208, -199, -200, -204, -202, -197, -200, -232, 
##     -243, -230, -228, -222, -217, -224, -221, -215, -220, -227, 
##     -217, -218, -179, -199, -208, -197, -191, -179, -171, -175, 
##     -174, -168, -226, -224, -222, -217, -230, -230, -227, -217, 
##     -205, -207, -214, -221, -218, -199, -184, -174, -166, -166, 
##     -152, -161, -161, -167, -226, -221, -219, -219, -222, -224, 
##     -223, -221, -223, -220, -199, -192, -205, -216, -188, -186, 
##     -187, -181, -173, -180, -180, -176, -172, -175, -172, -179, 
##     -164, -166, -188, -190, -189, -193, -206, -207, -203, -206, 
##     -214, -221, -225, -226, -219, -218, -220, -214, -214, -215, 
##     -224, -223, -221, -225, -11, -15, -28, -28, -24, -18, -19, 
##     -21, -21, -22, -20, -21, -16, 0, 6, 5, 5, -8, -10, 8, 7, 
##     22, 17, 14, 14, 8, 15, 33, 36, 30, 24, 35, 40, 41, 38, 40, 
##     40, 41, 37, 36, 31, 33, 24, 11, 7, 5, -2, -2, -12, -12, -1, 
##     -6, -2, -2, 0, 2, 10, 9, 13, 15, 13, 5, 5, 9, 13, 17, 21, 
##     34, 34, 34, 38, 40, 38, 35, 32, 32, 27, 27, 27, 24, 19, 12, 
##     -9, -7, -9, -16, -11, -3, 0, -2, -2, -6, -20, -14, -10, -10, 
##     -7, -6, -6, -7, -5, -186, -181, -179, -178, -144, -158, -155, 
##     -151, -144, -146, -142, -146, -233, -230, -229, -228, -223, 
##     -218, -217, -209, -195, -193, -179, -177, -172, -171), magnet_belt_x = c(-3, 
##     -7, -2, -6, -6, 0, -4, -2, 1, -3, -5, -2, -3, -8, -1, 0, 
##     -6, 1, -3, -1, -10, -2, -4, -3, -8, -10, 3, -4, -4, 2, 0, 
##     -4, 4, -6, 1, -3, 0, -3, -2, -1, 1, 1, 2, -4, -8, 1, -3, 
##     2, -2, 1, -7, 0, -2, -8, -3, -4, 2, -4, 2, -2, -5, -6, -7, 
##     -6, -3, -3, -3, -3, -6, 1, -9, -6, -1, -2, -1, -8, 6, -3, 
##     -7, -5, 1, -6, 0, -11, 2, -3, 0, -3, -4, 3, -5, -12, -3, 
##     -4, -7, -4, 1, -3, -1, -5, -5, -2, 1, -8, -6, -3, -2, -3, 
##     -1, -1, -5, -3, -3, 1, -7, 1, -1, -2, -8, -2, -6, -8, -9, 
##     2, -3, -9, -5, 0, -7, -5, -5, -5, 0, 0, 2, 2, 5, -6, 0, -3, 
##     -5, -6, -3, -4, -4, -2, -3, -4, -2, -2, 1, -4, -2, -1, -8, 
##     -6, -7, 0, -4, -4, -2, 0, -6, -1, 0, 13, 14, 9, 10, 8, 10, 
##     13, 3, 4, 4, -2, 10, 7, 1, -4, 1, -1, 1, -2, 4, 5, 3, 7, 
##     6, 1, 5, 2, 9, 0, -3, 6, -2, 7, 6, 5, 9, 4, 2, 5, 6, 4, 3, 
##     6, 7, 6, 3, 2, 2, 4, 4, -2, 1, 9, 3, 7, 0, 2, 7, 8, 9, 8, 
##     6, 3, 0, 8, 1, 4, 10, 5, 0, 7, 10, 9, 5, -5, 3, 0, 3, 5, 
##     4, 9, -3, -3, 2, 6, -3, -1, 2, 3, 8, 4, -1, 4, -3, 0, -2, 
##     3, 2, 6, 5, 8, 5, 0, -1, -4, -1, -2, -3, 2, -2, -4, -4, -6, 
##     4, -5, -7, -1, -4, -6, -7, 1, -5, 1, -7, -3, 6, -1, 0, 1, 
##     6, 2, 8, 2, 7, 7, 7, 5, 9, 10, 5, 1, 1, 0, -5, 0, 0, -4, 
##     -8, -6, -2, 0, 0, 1, -1, -1, 7, 6, 1, 1, -2, 2, 5, 2, -6, 
##     3, 4, -1, 0, 6, 3, -5, 6, 0, -5, 7, 1, 5, 4, 2, 4, 5, 2, 
##     2, 8, 7, 3, 6, 8, 9, 5, 6, 2, 9, 11, 9, 10, 9, 3, 6, 7, 5, 
##     5, 7, 8, -1, 6, 4, 1, 0, 1, 1, 0, -1, 2, 3, 7, 9, 2, 3, 2, 
##     7, 1, 8, 8, 9, 5, 6, 8, 8, 11, 6, 9, 10, 9, 4, 4, 11, 0, 
##     1, 3, 4, 6, 6, 2, 4, 1, 10, 6, 7, 6, 5, 6, 6, 0, 8, 6, 9, 
##     8, 16, 11, 6, 2, 7, 5, 0, -3, 6, 5, 2, 1, 2, 3, -1, 2, 7, 
##     5, 1, 7, 8, 4, 0, 1, 6, 6, 5, 2, 6, 5, 8, 4, 1, 10, 7, 8, 
##     8, 11, 10, 11, 15, 3, 11, -1, 2, -2, 0, -4, -2, -3, -4, -1, 
##     2, 6, 2, 3, 6, 5, 6, 2, 9, 1, 2, 3, 6, -1, 4, 0, 3, 4, 4, 
##     5, 3, -4, -2, 8, 4, 2, 6, 3, -1, 0, 0, -3, 9, 4, 3, 4, 7, 
##     6, 2, 9, 2, 3, -1, -7, 1, 2, -5, -2, -4, -3, 0, 3, 7, 3, 
##     0, 5, 8, -6, 1, 1, 8, 1, 6, 6, 7, 12, 11, 11, 14, 12, 4, 
##     9, 7, 9, 3, 10, 8, 6, 6, 11, 2, 6, 8, 1, 4, 4, 10, 3, 8, 
##     1, 6, 6, 6, 6, 2, 2, -5, 5, 1, 9, 8, 0, 6, 10, 9, 6, 9, 4, 
##     8, 3, 3, 8, 6, 4, 7, 4, 8, 9, 13, 8, 8, 3, 10, 5, 6, -1, 
##     0, 1, 0, 1, 2, 1, 4, 1, 1, 6, 8, 8, 0, 1, 2, 3, 0, 2, 14, 
##     4, 7, 1, 9, 6, 4, 6, 0, 3, -5, 7, 1, -2, -1, 0, -1, -5, 6, 
##     -1, -4, 0, -6, 8, 0, 1, 3, -1, 5, 5, 4, 11, 7, 11, 3, 10, 
##     3, 3, 1, -2, 0, -3, 4, 4, 9, 5, 1, 7, 9, 6, 5, -1, 1, 0, 
##     6, -2, 5, -1, 5, 7, -3, 7, 1, 5, 4, -1, 1, 1, 0, 2, 1, 4, 
##     -1, -1, 214, 221, 221, 217, 220, 221, 222, 225, 220, 216, 
##     221, 216, 216, 212, 214, 210, 204, 205, 200, 207, 197, 200, 
##     198, 202, 208, 206, 199, 198, 199, 198, 202, 205, 201, 204, 
##     204, 197, 200, 199, 200, 205, 197, 194, 195, 190, 188, 193, 
##     187, 185, 188, 186, 188, 184, 187, 187, 189, 184, 178, 182, 
##     182, 184, 185, 182, 186, 181, 186, 185, 182, 179, 180, 182, 
##     181, 177, 178, 180, 187, 179, 179, 184, 182, 174, 185, 183, 
##     179, 182, 178, 178, 189, 182, 181, 182, 186, 182, 180, 183, 
##     189, 181, 179, 176, 182, 180, 181, 177, 185, 182, 187, 182, 
##     182, 182, 185, 179, 176, 179, 188, 182, 180, 184, 191, 183, 
##     183, 186, 190, 182, 182, 183, 183, 181, 179, 182, 184, 181, 
##     183, 179, 183, 185, 179, 179, 187, 184, 185, 182, 182, 177, 
##     184, 177, 179, 181, 183, 179, 178, 184, 178, 182, 186, 181, 
##     179, 178, 179, 177, 179, 174, 169, 176, 173, 172, 172, 169, 
##     179, 172, 173, 171, 180, 181, 175, 177, 180, 178, 169, 175, 
##     173, 175, 168, 173, 168, 169, 169, 167, 168, 163, 172, 173, 
##     168, 167, 164, 167, 162, 166, 173, 172, 167, 171, 169, 173, 
##     175, 171, 166, 173, 172, 172, 30, 26, 29, 23, 24, 23, 22, 
##     22, 20, 18, 20, 16, 25, 18, 19, 19, 21, 17, 25, 19, 17, 21, 
##     26, 19, 165, 168, 167, 170, 170, 174, 171, 171, 175, 167, 
##     167, 169, 171, 172, 169, 169, 168, 170, 167, 180, 183, 190, 
##     188, 196, 194, 194, 187, 189, 189, 189, 183, 175, 179, 176, 
##     180, 185, 184, 188, 183, 181, 196, 187, 182, 186, 201, 207, 
##     207, 208, 209, 213, 205, 209, 210, 207, 208, 207, 213, 220, 
##     214, 220, 217, 216, 178, 191, 179, 186, 182, 187, 185, 188, 
##     185, 188, 180, 176, 175, 179, 171, 178, 179, 175, 170, 172, 
##     168, 170, 175, 175, 174, 176, 172, 177, 174, 173, 171, 168, 
##     172, 179, 177, 174, 183, 182, 183, 190, 186, 182, 183, 189, 
##     191, 205, 197, 200, 201, 202, 200, 201, 200, 201, 202, 199, 
##     198, 193, 199, 198, 192, 197, 197, 185, 184, 189, 178, 194, 
##     184, 171, 171, 173, 172, 175, 168, 163, 161, 162, 164, 171, 
##     173, 175, 176, 174, 173, 181, 168, 167, 167, 166, 165, 168, 
##     168, 160, 161, 160, 162, 161, 158, 158, 166, 162, 159, 158, 
##     159, 159, 162, 162, 162, 162, 163, 162, 162, 161, 169, 166, 
##     164, 169, 166, 167, 164, 172, 163, 163, 166, 168, 164, 167, 
##     166, 166, 172, 166, 164, 168, 172, 170, 166, 163, 170, 161, 
##     163, 162, 172, 166, 165, 163, 166, 171, 168, 173, 166, 165, 
##     167, 167, 161, 163, 165, 165, 160, 166, 169, 163, 158, 163, 
##     162, 162, 170, 161, 161, 162, 167, 159, 165, 167, 164, 165, 
##     160, 163, 167, 169, 168, 166, 164, 162, 167, 163, 161, 169, 
##     171, 161, 170, 162, 166, 167, 170, 168, 165, 169, 168, 158, 
##     165, 164, 170, 161, 164, 166, 165, 163, 169, 159, 165, 163, 
##     161, 168, 161, 161, 161, 161, 167, 167, 161, 163, 161, 164, 
##     161, 164, 162, 161, 166, 159, 157, 161, 158, 161, 165, 164, 
##     162, 166, 167, 169, 166, 164, 163, 164, 167, 162, 160, 163, 
##     161, 166, 165, 169, 166, 166, 165, 169, 165, 167, 167, 171, 
##     169, 168, 167, 161, 166, 167, 168, 162, 166, 163, 167, 169, 
##     162, 171, 167, 161, 167, 165, 165, 164, 161, 166, 162, 161, 
##     162, 165, 161, 164, 167, 163, 165, 161, 169, 166, 166, 163, 
##     164, 161, 163, 162, 164, 166, 165, 160, 171, 166, 170, 168, 
##     162, 167, 161, 160, 173, 168, 163, 160, 164, 165, 161, 165, 
##     160, 166, 161, 162, 165, 171, 165, 160, 163, 174, 166, 169, 
##     164, 167, 163, 168, 163, 161, 167, 173, 168, 165, 160, 166, 
##     170, 168, 168, 171, 164, 164, 167, 161, 162, 170, 164, 165, 
##     161, 166, 169, 164, 170, 164, 167, 163, 159, 167, 172, 171, 
##     170, 170, 168, 170, 168, 172, 166, 158, 166, 164, 167, 163, 
##     169, 159, 174, 160, 165, 165, 160, 167, 167, 167, 165, 168, 
##     166, 165, 167, 160, 165, 162, 170, 166, 161, 162, 165, 167, 
##     164, 166, 160, 160, 160, 167, 163, 161, 158, 168, 165, 163, 
##     161, 164, 167, 162, 165, 166, 173, 168, 163, 173, 163, 165, 
##     167, 165, 170, 162, 161, 162, 165, 166, 165, 160, 171, 166, 
##     174, 162, 171, 172, 174, 166, 176, 169, 168, 164, 166, 165, 
##     167, 168, 169, 166, 162, 166, 161, 165, 164, 166, 171, 166, 
##     172, 165, 170, 171, 169, 168, 170, 174, 163, 161, 169, 166, 
##     164, 164, 167, 162, 164, 166, 169, 165, 167, 169, 171, 166, 
##     168, 171, 164, 164, 172, 163, 168, 167, 167, 174, 171, 170, 
##     167, 168, 176, 164, 171, 170, 163, 172, 172, 168, 164, 166, 
##     164, 173, 168, 168, 169, 165, 172, 165, 166, 168, 165, 169, 
##     172, 166, 169, 166, 169, 167, 166, 170, 170, 168, 168, 163, 
##     162, 169, 166, 166, 170, 169, 165, 170, 169, 166, 166, 164, 
##     170, 165, 165, 169, 166, 170, 167, 175, 169, 168, 173, 168, 
##     166, 165, 173, 165, 170, 171, 167, 169, 166, 170, 172, 172, 
##     170, 171, 167, 176, 170, 168, 165, 161, 161, 173, 166, 162, 
##     166, 171, 167, 164, 169, 165, 169, 161, 169, 167, 166, 171, 
##     169, 169, 169, 170, 166, 171, 166, 171, 167, 168, 172, 172, 
##     169, 166, 169, 171, 166, 165, 166, 167, 166, 165, 162, 168, 
##     161, 170, 164, 160, 162, 164, 166, 165, 161, 165, 167, 167, 
##     168, 64, 67, 61, 63, 62, 62, 54, 54, 55, 56, 53, 60, 64, 
##     63, 61, 56, 68, 65, 65, 55, 62, 63, 57, 57, 61, 64, 57, 56, 
##     63, 60, 57, 56, 55, 57, 56, 59, 56, 53, 56, 52, 58, 56, 56, 
##     56, 61, 63, 63, 60, 65, 69, 66, 61, 63, 58, 66, 66, 55, 68, 
##     59, 63, 49, 57, 50, 56, 53, 56, 53, 49, 46, 49, 55, 54, 48, 
##     51, 47, 50, 51, 54, 47, 57, 49, 57, 53, 53, 53, 56, 57, 56, 
##     57, 49, 57, 56, 51, 52, 59, 59, 60, 52, 55, 56, 65, 59, 63, 
##     68, 58, 57, 64, 58, 56, 61, 59, 60, 62, 60, 53, 53, 56, 57, 
##     62, 56, 50, 60, 51, 56, 56, 56, 45, 53, 50, 49, 51, 48, 45, 
##     48, 44, 54, 48, 40, 45, 52, 46, 49, 48, 51, 46, 53, 51, 52, 
##     52, 54, 54, 57, 54, 48, 53, 53, 51, 53, 60, 59, 51, 60, 51, 
##     60, 56, 61, 52, 61, 64, 63, 59, 63, 63, 60, 56, 64, 53, 56, 
##     57, 55, 59, 53, 48, 52, 54, 58, 55, 56, 54, 61, 57, 61, 59, 
##     62, 56, 56, 63, 57, 57, 55, 58, 62, 52, 55, 57, 57, 58, 62, 
##     56, 56, 50, 53, 57, 58, 55, 54, 51, 54, 54, 45, 53, 56, 48, 
##     53, 48, 48, 48, 51, 55, 52, 55, 56, 60, 55, 56, 52, 56, 60, 
##     59, 57, 58, 52, 55, 50, 53, 52, 53, 48, 57, 50, 59, 58, 55, 
##     61, 58, 57, 58, 64, 57, 62, 59, 56, 66, 60, 66, 59, 60, 53, 
##     51, 60, 45, 50, 56, 55, 51, 51, 50, 53, 59, 57, 60, 62, 58, 
##     63, 57, 53, 58, 62, 54, 54, 56, 48, 45, 52, 49, 50, 52, 54, 
##     46, 56, 49, 51, 56, 56, 56, 56, 58, 53, 47, 44, 42, 48, 53, 
##     50, 49, 52, 52, 60, 55, 52, 52, 53, 49, 59, 52, 51, 52, 53, 
##     55, 54, 51, 54, 51, 48, 50, 51, 50, 45, 53, 51, 45, 52, 48, 
##     51, 47, 48, 48, 53, 45, 51, 44, 50, 46, 49, 56, 54, 51, 54, 
##     52, 55, 53, 60, 59, 51, 50, 55, 45, 45, 42, 48, 48, 45, 39, 
##     42, 41, 45, 40, 41, 37, 38, 41, 41, 43, 38, 41, 40, 40, 41, 
##     40, 40, 46, 43, 44, 42, 36, 39, 43, 47, 43, 40, 42, 36, 35, 
##     43, 40, 42, 43, 36, 39, 37, 38, 37, 33, 30, 35, 41, 42, 38, 
##     44, 49, 41, 41, 46, 45, 41, 45, 43, 40, 38, 46, 42, 41, 42, 
##     40, 41, 44, 36, 47, 47, 47, 43, 43, 32, 46, 31, 32, 39, 31, 
##     34, 35, 35, 35, 39, 37, 41, 43, 35, 36, 35, 28, 35, 36, 33, 
##     40, 37, 35, 34, 34, 35, 35, 32, 38, 34, 33, 37, 37, 37, 35, 
##     34, 40, 39, 39, 37, 43, 35, 43, 32, 45, 32, 35, 39, 39, 38, 
##     37, 41, 40, 36, 36, 34, 33, 43, 34, 38, 34, 32, 31, 36, 38, 
##     36, 35, 35, 35, 41, 40, 36, 41, 37, 41, 37, 37, 40, 32, 33, 
##     33, 34, 39, 36, 29, 31, 31, 26, 22, 17, 18, 14, 25, 28, 22, 
##     26, 24, 17, 20, 25, 24, 29, 34, 36, 36, 36, 39, 41, 42, 39, 
##     39, 31, 38, 39, 34, 40, 41, 42, 37, 36, 43, 48, 47, 44, 49, 
##     49, 43, 44, 46, 38, 42, 40, 37, 44, 40, 40, 37, 40, 35, 33, 
##     37, 34, 26, 31, 26, 25, 23, 19, 21, 21, 26, 18, 25, 20, 26, 
##     25, 20, 52, 59, 47, 54, 52, 49, 53, 50, 56, 54, 51, 58, 48, 
##     50, 48, 53, 59, 54, 50, 57, 55, 54, 51, 54, 59, 52, 55, 52, 
##     52, 51, 50, 55, 55, 57, 49, 51, 52, 49, 51, 52, 51, 51, 51, 
##     57, 54, 48, 48, 49, 52, 46, 52, 46, 51, 47, 48, 55, 52, 51, 
##     51, 49, 50, 50, 48, 47, 49, 51, 50, 54, 47, 49, 45, 52, 45, 
##     50, 53, 49, 47, 43, 48, 49, 53, 52, 58, 49, 46, 45, 48, 47, 
##     48, 50, 52, 55, 44, 56, 46, 46, 56, 47, 56, 48, 43, 46, 51, 
##     46, 47, 47, 50, 49, 52, 48, 50, 50, 48, 46, 46, 47, 48, 51, 
##     46, 51, 41, 48, 51, 50, 48, 61, 52, 49, 46, 52, 57, 55, 52, 
##     52, 48, 48, 43, 51, 48, 48, 47, 41, 46, 47, 40, 45, 41, 49, 
##     43, 45, 45, 44, 46, 41, 46, 49, 48, 40, 46, 46, 45, 48, 50, 
##     49, 45, 47, 57, 46, 47, 47, 52, 51, 50, 49, 48, 50, 48, 49, 
##     49, 51, 48, 50, 48, 56, 53, 53, 49, 52, 50, 42, 50, 51, 50, 
##     48, 49, 49, 49, 56, 48, 44, 52, 52, 51, 46, 42, 53, 53, 49, 
##     51, 54, 57, 54, 55, 55, 57, 51, 48, 56, 58, 53, 53, 50, 48, 
##     53, 50, 47, 51, 51, 54, 48, 59, 50, 50, 48, 47, 50, 48, 46, 
##     47, 51, 54, 44, 50, 48, 48, 50, 49, 54, 48, 51, 47, 52, 48, 
##     52, 54, 52, 45, 46, 48, 56, 50, 51, 49, 56, 50, 47, 51, 53, 
##     54, 55, 49, 46, 48, 52, 44, 46, 53, 46, 52, 50, 45, 50, 46, 
##     55, 49, 48, 47, 50, 42, 49, 46, 51, 49, 55, 47, 47, 48, 49, 
##     56, 54, 55, 48, 46, 49, 49, 51, 45, 55, 46, 52, 55, 53, 49, 
##     52, 43, 44, 54, 43, 48, 51, 51, 49, 58, 51, 51, 46, 54, 48, 
##     48, 47, 56, 53, 52, 54, 50, 51, 55, 51, 51, 46, 48, 47, 51, 
##     49, 50, 46, 52, 49, 48, 48, 51, 50, 50, 56, -5, 0, -1, 0, 
##     0, -9, -2, -1, 0, 2, -3, 1, -3, 3, 0, -7, 0, -1, 0, -3, -2, 
##     -2, -3, -2, -7, -10, -4, -3, -3, -5, -4, -3, -6, -8, -8, 
##     -11, -3, -6, -6, -9, -6, -8, -7, -6, -6, 0, 1, -2, -5, -2, 
##     -1, 1, 0, -2, -4, 4, 0, 0, 2, -6, -4, 2, -6, -5, -10, -8, 
##     -8, -1, -8, 1, -4, -13, -11, -4, -8, -3, 1, -4, -1, -4, -1, 
##     -2, -2, -3, -1, -9, -6, -2, -6, -2, -2, -7, -6, -6, -8, -6, 
##     -3, -1, 0, -7, 2, -3, -6, -2, -4, -7, -9, -1, -7, -8, -9, 
##     -6, -8, -10, -7, 1, -6, -4, -4, -4, -1, -2, 1, -3, 0, -2, 
##     4, -1, 0, 0, -4, -7, -7, -4, -4, -3, -6, -8, -5, -7, -6, 
##     -9, -9, -8, -5, -1, -2, -3, 2, -7, 1, 3, -3, 5, 3, 5, 0, 
##     1, 1, 4, -9, 0, 1, 1, 2, -4, 0, 0, -2, 4, -1, -8, 3, -1, 
##     -3, -7, 1, -3, -4, 5, -3, 4, 1, -5, -3, -3, -3, -2, 3, -5, 
##     -6, -8, -5, -6, -9, 0, -6, -10, -11, -11, -6, -3, -7, -10, 
##     -6, 3, -5, -1, 0, 0, 1, 1, 0, 0, 0, -1, 5, 0, 0, 0, 1, 1, 
##     4, 5, 5, 1, 11, 9, 5, 0, 6, 0, 8, 1, 3, 4, 4, 2, 3, 8, 0, 
##     1, 11, 2, 9, 7, 5, 1, 3, 7, 4, 0, -8, 5, -8, 0, -5, 2, 0, 
##     -7, -2, -7, -10, -6, -7, -4, -11, -13, 1, 1, -5, 5, 1, 1, 
##     3, -4, 4, -3, 2, 1, -4, 10, 0, 2, 6, -5, -3, -2, -5, 0, -1, 
##     -3, -4, -4, -6, -12, -4, -9, -8, -7, 0, -2, -2, -11, -2, 
##     -6, 0, 1, 1, 2, 4, -3, -1, 1, -2, -6, 1, -1, -5, -2, -2, 
##     -3, -1, -1, -1, -7, -1, 4, 2, -4, 4, 5, 1, -3, -3, -3, 1, 
##     3, -1, -4, 2, 1, -7, 3, -2, 0, 3, -3, 2, 3, -3, 2, -6, -1, 
##     -6, -3, -5, 1, -6, -2, -1, -8, -5, 2, -2, 2, 3, 3, -9, -7, 
##     -2, -5, -5, 0, -6, -6, -6, -8, 2, -2, -9, -8, 3, -2, -2, 
##     -5, 1, 3, 1, -1, 1, -2, -4, -2, 6, 0, -2, -1, -3, 3, 0, 4, 
##     1, 4, 3, 6, 3, 7, 2, 3, 7, 13, 5, 1, -1, -1, 2, -2, 7, 4, 
##     2, 7, 0, -3, 3, 1, 2, -1, 2, -1, 0, -4, 2, -2, 0, -1, 0, 
##     1, -3, -4, -3, -5, 5, -2, -2, -4, 8, 1, 0, 0, 0, 5, 5, -3, 
##     2, 1, 2, 6, 6, 2, 6, 13, -5, 0, 0, 13, 6, 7, 5, 6, 2, 3, 
##     3, 8, 8, 8, 4, 8, 8, 6, 3, 13, 1, 4, 5, 13, 2, 12, 7, 7, 
##     4, 8, 7, 4, 8, 8, 4, 2, 7, 9, 6, 11, 7, 6, 4, 8, 9, 7, 10, 
##     2, 13, 8, 5, 11, 12, 8, -1, 7, 6, 7, 2, 1, 0, 4, 2, 3, 7, 
##     8, 3, 4, 4, 2, 8, 2, 10, 16, 15, 10, 6, 7, 7, 11, 8, 7, 8, 
##     8, 4, 5, 9, 10, 11, 1, 9, 8, 0, 6, 11, 4, 12, 11, 3, 8, 5, 
##     15, 8, 6, 4, 9, 6, 10, 7, 8, 6, 6, 9, 10, 1, 2, 3, 5, 3, 
##     7, 8, 6, 3, 2, 5, 1, 10, 0, 5, 6, 3, 8, 8, 4, 4, 6, 6, 5, 
##     6, 7, 7, 5, 14, 8, 8, 8, 3, 9, 6, 8, 5, 5, 5, 4, 5, 8, 9, 
##     13, 6, 10, 12, 12, 9, 4, 9, 9, 8, 11, 9, 10, 9, 9, 9, 12, 
##     15, 12, 54, 50, 53, 54, 49, 52, 46, 48, 55, 48, 48, 48, 48, 
##     48, 53, 46, 50, 53, 49, 51, 51, 46, 50, 45, 53, 46, 51, 43, 
##     46, 50, 47, 48, 50, 49, 50, 51, 45, 50, 53, 48, 54, 57, 52, 
##     47, 44, 47, 51, 49, 45, 53, 48, 47, 46, 43, 51, 47, 50, 43, 
##     54, 46, 48, 52, 47, 48, 48, 48, 54, 52, 52, 48, 56, 49, 49, 
##     49, 54, 47, 45, 45, 48, 44, 45, 40, 44, 50, 45, 50, 46, 50, 
##     49, 50, 48, 48, 49, 49, 46, 51, 48, 48, 42, 50, 47, 42, 41, 
##     35, 40, 38, 41, 45, 43, 39, 40, 44, 45, 42, 45, 40, 42, 47, 
##     45, 40, 45, 41, 50, 41, 47, 40, 48, 52, 47, 47, 56, 47, 54, 
##     49, 46, 54, 50, 47, 47, 43, 44, 44, 47, 46, 45, 46, 46, 55, 
##     45, 46, 48, 48, 46, 54, 48, 44, 42, 49, 51, 49, 44, 47, 47, 
##     54, 51, 51, 55, 55, 52, 49, 54, 50, 50, 47, 52, 52, 50, 52, 
##     55, 57, 56, 46, 58, 50, 54, 56, 49, 52, 51, 50, 52, 51, 56, 
##     50, 56, 51, 53, 50, 51, 46, 49, 48, 46, 53, 47, 45, 47, 49, 
##     49, 56, 41, 49, 55, 45, 44, 49, 49, 54, 48, 48, 40, 50, 46, 
##     49, 57, 56, 51, 50, 50, 47, 53, 49, 53, 36, 38, 44, 46, 42, 
##     41, 43, 46, 52, 52, 51, 50, 55, 62, 57, 58, 57, 59, 59, 59, 
##     61, 58, 55, 60, 48, 48, 52, 50, 52, 51, 51, 47, 52, 41, 41, 
##     45, 43, 47, 45, 44, 45, 41, 40, 39, 46, 48, 51, 48, 48, 56, 
##     50, 49, 57, 55, 55, 54, 57, 49, 50, 49, 50, 50, 51, 54, 47, 
##     48, 52, 56, 53, 50, 50, 53, 48, 54, 49, 54, 49, 57, 51, 40, 
##     53, 46, 46, 45, 49, 49, 44, 41, 48, 43, 43, 44, 41, 39, 43, 
##     46, 43, 49, 49, 50, 50, 56, 46, 46, 45, 52, 48, 51, 47, 44, 
##     50, 41, 49, 48, 46, 47, 43, 43, 37, 46, 50, 46, 44, 45, 48, 
##     48, 47, 49, 49, 51, 55, 47, 43, 42, 42, 42, 39, 41, 39, 33, 
##     34, 35, 25, 30, 28, 32, 32, 37, 44, 43, 48, 47, 42, 44, 48, 
##     49, 50, 53, 50, 46, 48, 49, 40, 47, 54, 48, 48, 48, 52, 53, 
##     51, 53, 50, 49, 53, 54, 54, 55, 50, 47, 44, 40, 45, 38, 40, 
##     46, 41, 40, 49, 48, 40, 49, 53, 50, 57, 57, 54, 55, 62, 59, 
##     60, 53, 50, 50, 50, 53, 44, 47, 42, 42, 42, 48, 47, 50, 53, 
##     48, 47, 56, 58, 53, 53, 55, 48, 41, 49, 45, 47, 43, 46, 41, 
##     45, 39, 43, 48, 46, 42, 42, 43, 49, 45, 49, 47, 52, 51, 47, 
##     46, 48, 47, 46, 41, 47, 43, 47, 48, 42, 43, 43, 46, 47, 51, 
##     45, 53, 45, 46, 48, 44, 45, 51, 47, 48, 42, 41, 43, 43, 43, 
##     36, 39, 32, 30, 33, 30, 32, 28, 32, 30, 35, 37, 33, 37, 40, 
##     40, 42, 44, 43, 39, 36, 44, 41, 45, 41, 43, 39, 47, 45, 41, 
##     45, 43, 42, 45, 43, 45, 44, 48, 46, 41, 39, 37, 34, 31, 33, 
##     35, 21, 18, 18, 18, 20, 20, 24, 17, 21, 23, 22, 24, 23, 28, 
##     28, 26, 30, 29, 35, 39, 34, 42, 46, 47, 42, 46, 44, 49, 52, 
##     45, 51, 41, 41, 38, 39, 47, 33, 31, 41, 36, 42, 37, 40, 40, 
##     42, 36, 40, 39, 40, 34, 39, 34, 34, 34, 35, 35, 31, 30, 26, 
##     34, 26, 27, 29, 30, 32, 31, 29, 31, 27, 25, 27, 30, 34, 26, 
##     34, 29, 36, 37, 39, 41, 42, 41, 42, 36, 39, 35, 36, 33, 35, 
##     36, 40, 40, 38, 44, 44, 43, 47, 49, 41, 50, 39, 40, 39, 31, 
##     34, 32, 39, 33, 33, 31, 30, 32, 31, 29, 33, 30, 32, 40, 33, 
##     38, 40, 41, 46, 51, 53, 50, 54, 45, 38, 39, 46, 40, 40, 36, 
##     29, 37, 42, 36, 40, 43, 39, 46, 47, 48, 44, 40, 42, 43, 49, 
##     41, 52, 52, 46, 44, 48, 42, 48, 49, 44, 46, 39, 39, 48, 38, 
##     38, 37, 37, 44, 49, 48, 51, 50, 50, 52, 51, 47, 44, 44, 47, 
##     40, 43, 41, 40, 45, 45, 44, 39, 43, 40, 43, 43, 46, 48, 49, 
##     46, 44, 43, 43, 40, 45, 47, 43, 47, 42, 48, 44, 45, 45, 48, 
##     45, 48, 51, 51, 43, 43, 47, 43, 75, 62, 69, 64, 57, 65, 61, 
##     66, 64, 66, 61, 67, 59, 61, 66, 59, 61, 66, 62, 57, 61, 70, 
##     64, 57, 58, 60, 60, 65, 63, 61, 56, 60, 67, 63, 59, 64, 59, 
##     58, 61, 68, 60, 60, 57, 70, 63, 66, 67, 67, 63, 68, 66, 69, 
##     64, 63, 165, 161, 167, 171, 167, 168, 170, 163, 168, 172, 
##     166, 163, 168, 170, 169, 164, 164, 171, 172, 167, 172, 168, 
##     166, 170, 167, 169, 169, 173, 174, 171, 167, 161, 169, 170, 
##     165, 173, 172, 168, 162, 170, 163, 167, 167, 169, 175, 163, 
##     166, 168, 169, 169, 173, 162, 167, 166, 158, 172, 162, 163, 
##     164, 160, 163, 167, 163, 163, 161, 162, 162, 164, 160, 161, 
##     166, 164, 163, 163, 166, 162, 167, 166, 161, 168, 166, 158, 
##     166, 162, 165, 160, 168, 165, 161, 171, 164, 163, 161, 162, 
##     162, 164, 168, 163, 165, 166, 166, 166, 163, 169, 168, 159, 
##     159, 163, 167, 169, 170, 164, 167, 159, 163, 162, 166, 164, 
##     164, 168, 169, 173, 163, 167, 165, 168, 169, 163, 166, 167, 
##     169, 169, 168, 165, 168, 175, 169, 166, 171, 163, 168, 166, 
##     169, 167, 168, 166, 167, 168, 173, 168, 166, 168, 167, 171, 
##     162, 165, 165, 167, 17, 25, 13, 9, 13, 7, 18, 17, 11, 13, 
##     10, 11, 6, 5, -4, 0, -4, 0, 3, -6, -3, -1, -2, -5, -5, -3, 
##     -8, -6, -6, -9, 54, 40, 38, 40, 37, 27, 14, 6, 6, 1, -6, 
##     -2, 1, 14, 16, 17, 22, 40, 38, 39, 39, 40, 40, 35, 42, 35, 
##     31, 37, 35, 39, 36, 32, 36, 34, 36, 27, 37, 33, 29, 34, 36, 
##     40, 35, 32, 41, 27, 37, 37, 30, 30, 30, 26, 31, 27, 31, 36, 
##     60, 69, 81, 100, 96, 92, 85, 86, 85, 78, 81, 75, 77, 67, 
##     68, 65, 59, 54, 61, 55, 56, 51, 53, 46, 54, 56, 51, 62, 46, 
##     52, 46, 47, 45, 48, 44, 44, 43, 37, 38, 44, 37, 36, 37, 41, 
##     40, 37, 32, 33, 34, 38, 31, 30, 35, 30, 34, 30, 29, 32, 29, 
##     33, 33, 32, 31, 30, 34, 29, 23, 33, 25, 28, 23, 25, 23, 27, 
##     26, 24, 27, 20, 26, 27, 24, 24, 22, 23, 25, 24, 19, 23, 27, 
##     20, 27, 25, 22, 19, 22, 22, 20, 16, 23, 22, 20, 19, 19, 22, 
##     17, 16, 17, 21, 21, 19, 21, 23, 19, 20, 25, 23, 21, 26, 22, 
##     22, 30, 22, 23, 28, 19, 18, 17, 15, 17, 18, 17, 18, 16, 19, 
##     17, 25, 23, 22, 25, 22, 24, 25, 17, 22, 12, 21, 21, 17, 16, 
##     18, 22, 17, 19, 11, 15, 15, 15, 9, 13, 16, 16, 13, 18, 16, 
##     20, 22, 19, 19, 21, 22, 19, 19, 12, 21, 19, 19, 17, 18, 17, 
##     17, 15, 21, 13, 20, 14, 14, 18, 8, 12, 15, 11, 11, 16, 12, 
##     9, 13, 13, 9, 11, 9, 10, 11, 12, 11, 19, 13, 23, 11, 13, 
##     16, 14, 20, 16, 15, 8, 16, 16, 16, 15, 21, 13, 15, 18, 12, 
##     13, 16, 13, 10, 3, 6, 9, 8, 9, 9, 11, 7, 15, 15, 3, 10, 9, 
##     12, 3, 0, 4, 6, 9, 9, 7, 7, 6, 12, 11, 13, 5, 11, 9, 10, 
##     15, 10, 15, 13, 17, 12, 9, 14, 13, 15, 7, 12, 10, 12, 10, 
##     11, 11, 13, 18, 12, 10, 16, 22, 17, 12, 17, 20, 23, 22, 17, 
##     25, 26, 24, 25, 26, 18, 30, 26, 26, 20, 21, 24, 14, 23, 20, 
##     19, 20, 13, 16, 16, 17, 18, 16, 16, 21, 16, 24, 20, 20, 17, 
##     12, 12, 26, 26, 21, 16, 21, 19, 28, 24, 22, 23, 23, 29, 24, 
##     27, 26, 24, 27, 22, 25, 26, 30, 31, 26, 26, 23, 19, 23, 17, 
##     14, 21, 21, 21, 22, 27, 20, 28, 21, 23, 26, 25, 24, 22, 18, 
##     18, 21, 22, 18, 18, 24, 27, 17, 18, 22, 24, 23, 27, 20, 23, 
##     26, 29, 31, 29, 31, 25, 22, 28, 28, 39, 33, 35, 32, 26, 32, 
##     26, 26, 23, 23, 32, 24, 20, 24, 26, 24, 27, 30, 31, 27, 30, 
##     26, 25, 32, 29, 30, 28, 26, 30, 29, 28, 27, 29, 30, 25, 31, 
##     28, 27, 26, 23, 28, 21, 27, 23, 26, 26, 25, 29, 22, 26, 23, 
##     27, 24, 25, 30, 27, 25, 30, 36, 31, 29, 35, 33, 33, 36, 38, 
##     27, 36, 27, 26, 30, 26, 27, 24, 30, 19, 24, 25, 30, 22, 23, 
##     21, 24, 22, 24, 22, 25, 27, 27, 26, 28, 28, 24, 24, 29, 21, 
##     26, 27, 21, 15, 22, 23, 17, 18, 17, 20, 18, 16, 23, 21, 20, 
##     23, 23, 17, 19, 24, 24, 18, 16, 17, 27, 25, 29, 22, 22, 26, 
##     30, 30, 27, 30, 25, 20, 23, 18, 20, 19, 11, 21, 24, 23, 21, 
##     23, 17, 24, 23, 15, 16, 16, 19, 20, 23, 18, 24, 22, 23, 27, 
##     27, 23, 23, 25, 26, 29, 30, 21, 29, 21, 25, 25, 22, 22, 21, 
##     16, 10, 21, 23, 20, 21, 15, 24, 23, 22, 22, 26, 25, 25, 24, 
##     33, 26, 23, 23, 32, 26, 25, 33, 28, 26, 23, 21, 29, 27, 32, 
##     25, 28, 26, 25, 36, 27, 27, 20, 30, 27, 30, 21, 22, 22, 16, 
##     16, 18, 20, 19, 18, 29, 26, 26, 31, 24, 22, 19, 21, 23, 17, 
##     22, 18, 19, 25, 23, 21, 20, 22, 23, 15, 23, 21, 19, 16, 19, 
##     22, 28, 24, 24, 18, 24, 29, 25, 27, 27, 28, 33, 33, 31, 25, 
##     30, 22, 27, 33, 32, 33, 29, 34, 27, 27, 31, 162, 167, 165, 
##     170, 162, 166, 165, 167, 165, 163, 165, 166, 165, 158, 167, 
##     166, 166, 166, 163, 163, 162, 167, 167, 173, 163, 165, 167, 
##     161, 175, 158, 166, 167, 173, 167, 170, 169, 167, 172, 166, 
##     168, 163, 173, 166, 170, 168, 161, 164, 169, 160, 164, 167, 
##     160, 171, 166, 172, 167, 171, 172, 169, 172, 173, 170, 172, 
##     169, 169, 166, 174, 170, 172, 170, 174, 176, 173, 172, 176, 
##     180, 174, 173, 171, 181, 178, 179, 175, 172, 178, 179, 179, 
##     174, 174, 175, 169, 176, 170, 175, 175, 177, 175, 175, 182, 
##     180, 182, 176, 177, 174, 23, 25, 23, 21, 21, 23, 30, 19, 
##     24, 20, 24, 36, 21, 29, 35, 28, 27, 28, 21, 31, 35, 21, 16, 
##     22, 24, 23, 16, 24, 16, 22, 19, 18, 24, 25, 21, 17, 18, 23, 
##     17, 22, 19, 19, 20, 21, 26, 17, 20, 27, 23, 25, 20, 15, 10, 
##     13, 20, 16, 13, 17, 13, 10, 9, 17, 19, 11, 7, 11, 10, 15, 
##     11, 12, 22, 22, 13, 10, 19, 16, 12, 25, 14, 13, 17, 20, 16, 
##     18, 19, 22, 14, 18, 23, 20, 20, 17, 17, 14, 15, 18, 18, 25, 
##     25, 23, 28, 28, 23, 26, 18, 27, 32, 27, 27, 27, 32, 28, -6, 
##     -6, 0, -7, -3, 1, 8, 16, 9, 16, 26, 32, 45, 47, 54, 56, 60, 
##     57, 51, 47, 51, 41, 52, 42, 47, 44, 41, 44, 48, 48, 44, 45, 
##     41, 47, 44, 43, 41, 38, 43, 45, 46, 41, 46, 46, 49, 46, 50, 
##     48, 45, 49, 44, 47, 45, 45, 49, 54, 42, 46, 50, 49, 53, 49, 
##     48, 46, 52, 56, 48, 51, 51, 52, 46, 38, 41, 46, 44, 46, 47, 
##     48, 47, 40, 40, 37, 33, 29, 48, 53, 54, 57, 56, 50, 56, 59, 
##     55, 56, 53, 56, 56, 51, 51, 54, 44, 50, 45, 48, 51, 47, 49, 
##     47, 41, 52, 58, 53, 54, 52, 49, 54, 52, 50, 56, 54, 53, 50, 
##     56, 49, 50, 53, 53, 45, 49, 48, 47, 60, 57, 54, 54, 50, 62, 
##     58, 60, 54, 63, 62, 62, 62, 60, 60, 58, 65, 56, 63, 53, 62, 
##     63, 59, 57, 58, 57, 58, 58, 55, 58, 51, 55, 62, 48, 61, 55, 
##     53, 58, 57, 56, 58, 60, 59, 58, 59, 60, 58, 58, 58, 63, 56, 
##     61, 60, 63, 65, 60, 59, 52, 57, 55, 53, 48, 47, 56, 53, 59, 
##     55, 51, 49, 54, 50, 51, 47, 51, 44, 47, 56, 51, 70, 75, 73, 
##     71, 70, 70, 72, 64, 75, 69, 66, 69, 67, 67, 61, 55, 59, 54, 
##     64, 61, 63, 58, 61, 54, 69, 66, 67, 67, 66, 62, 68, 68, 71, 
##     67, 61, 65, 60, 68, 63, 65, 62, 65, 67, 71, 66, 66, 65, 66, 
##     68, 66, 63, 66, 65, 65, 72, 69, 68, 69, 68, 58, 69, 71, 69, 
##     65, 62, 64, 60, 66, 60, 66, 71, 71, 2, 0, 5, -5, -4, 2, -1, 
##     0, 3, 2, 4, 5, 3, 3, 5, 4, 2, 4, 5, 6, 8, 4, 6, -4, 2, 0, 
##     2, 9, 6, 7, 5, 8, -2, -7, -3, -4, -9, 0, -1, -5, -4, 1, 7, 
##     6, 2, 0, -1, 3, 2, 6, 3, 9, 7, 2, 9, 2, 5, 1, 0, 5, 7, 3, 
##     6, 6, 9, 7, 3, 2, 7, 15, 11, 16, 6, 9, 13, 12, 4, 7, -1, 
##     8, -3, 9, 3, 1, 6, 1, 9, 1, 5, 0, 2, 6, 3, 2, 2, 0, 5, -2, 
##     -2, 3, 2, 5, 3, 4, 3, 6, 0, 1, 4, 2, 15, 9, 0, 0, 1, 7, 8, 
##     0, 9, 2, 0, 5, 1, -4, 5, -4, -3, 0, -3, 7, 10, 3, 8, 8, 5, 
##     3, 5, -1, 6, 6, 8, 6, 8, 1, 3, 4, 2, 3, 3, 4, 5, 8, 4, 7, 
##     7, 2, 2, -7, -6, -1, -1, -3, -4, -12, -16, -17, -17, -11, 
##     -13, -15, -13, -9, -6, -6, -7, -6, -2, -7, -10, -8, -5, -13, 
##     -12, -10, -2, -5, -11, -7, -6, -5, -9, -8, 2, -1, 4, -5, 
##     4, 10, 4, 4, 4, 8, -3, 3, 3, 1, 4, 6, -2, 4, -1, -8, -7, 
##     -4, -3, -7, -12, -11, -10, -10, -3, -10, -10, -6, -6, -3, 
##     7, -2, 0, 3, 5, 2, 5, 2, 4, 5, 1, 7, 6, 6, 1, 5, -1, 3, 1, 
##     -5, -3, 2, -6, -2, -4, -3, -6, -2, -16, -11, -12, -14, -8, 
##     -6, -10, -5, -4, -5, -2, -3, -7, -1, -1, -6, -1, -7, 1, -1, 
##     -9, -10, -5, -2, -8, -5, -7, -1, -3, -1, -2, -3, 1, -3, -3, 
##     -6, 1, 2, 1, 4, -1, 0, -1, -6, -8, -5, -9, -7, -11, -11, 
##     -20, -18, -19, -17, -16, -11, -12, -12, -3, -10, -8, -12, 
##     -15, -8, -21, -19, -18, -15, -7, -7, -9, -4, 2, -4, 1, -2, 
##     -6, 0, -3, -7, -10, -6, -1, -2, 2, 0, -6, -2, 1, 2, -1, 1, 
##     -1, 4, -1, -7, -11, -8, -19, -19, -18, -16, -19, -16, -15, 
##     -8, -7, -6, -8, -10, 4, -8, -9, -7, -8, -7, -8, -12, -13, 
##     -4, -2, -6, -7, -7, -8, -7, -2, -2, 0, -2, 0, -1, -6, -5, 
##     -4, -1, -3, -3, 3, 7, -3, -13, -7, -12, -10, -10, -12, -9, 
##     -4, -10, -3, -1, 6, 5, 5, -1, 4, 4, -1, 1, 1, 2, 0, 2, 5, 
##     4, 7, 7, 6, 0, 3, -14, -16, -15, -21, -12, -16, -15, -10, 
##     -9, -8, -3, -5, -4, -2, -5, -3, -5, -1, 1, 1, -7, -7, 1, 
##     -3, -7, -5, -3, -2, 1, -2, 4, 2, -1, 0, -4, -1, 11, -3, 6, 
##     -3, 1, 1, -1, 1, 10, 9, 17, 7, 7, -2, -3, -6, -6, -8, -17, 
##     -13, -18, -18, -14, -7, -10, -10, -1, 2, 1, 1, -1, -11, -3, 
##     -8, 1, 0, 6, -21, -24, -15, -15, -22, -13, -20, -20, -12, 
##     -14, -9, -7, -9, -10, -10, -17, -21, -22, -28, -21, -22, 
##     -22, -20, -17, -18, -9, -12, -9, -13, -9, -15, -9, -8, -6, 
##     -10, -12, -7, -9, -7, -5, -11, -6, -6, -6, 0, -1, -7, -2, 
##     -6, -11, -15, -23, -18, -18, -8, -13, -13, -7, -1, 0, -6, 
##     7, 0, -2, 5, 0, 0, -9, -9, -4, -1, 1, -2, 1, -7, -1, -2, 
##     -6, -2, -1, 8, 3, 0, 2, 6, 16, 9, 24, 25, 27, 28, 31, 30, 
##     40, 33, 35, 34, 37, 32, 38, 33, 32, 24, 28, 27, 30, 32, 36, 
##     33, 33, 29, 36, 29, 30, 34, 40, 36, 39, 38, 39, 34, 31, 32, 
##     31, 31, 27, 30, 25, 30, 29, 25, 28, 31, 27, 30, 31, 29, 31, 
##     32, 32, 35, 35, 31, 26, 39, 37, 35, 26, 34, 29, 32, 33, 36, 
##     36, 31, 34, 37, 43, 44, 45, 45, 38, 42, 39, 48, 35, 41, 33, 
##     45, 46, 47, 38, 44, 45, 46, 47, 36, 41, 47, 41, 43, 41, 40, 
##     43, 39, 51, 43, 40, 39, 45, 35, 42, 40, 40, 45, 40, 41, 39, 
##     44, 39, 41, 42, 44, 35, 37, 40, 39, 41, 35, 38, 38, 40, 33, 
##     37, 38, 42, 34, 32, 30, 33, 32, 33, 39, 30, 36, 28, 30, 25, 
##     26, 31, 23, 28, 32, 29, 37, 31, 30, 31, 36, 32, 37, 34, 38, 
##     32, 38, 37, 31, 35, 36, 37, 34, 43, 34, 33, 38, 42, 42, 43, 
##     35, 41, 40, 30, 32, 37, 27, 32, 34, 38, 38, 47, 39, 34, 37, 
##     38, 40, 39, 33, 39, 46, 41, 39, 47, 46, 40, 41, 40, 36, 38, 
##     43, 39, 38, 39, 38, 33, 40, 32, 37, 42, 44, 30, 35, 35, 33, 
##     31, 31, 32, 33, 36, 39, 35, 35, 34, 34, 35, 31, 33, 29, 32, 
##     38, 30, 30, 33, 34, 36, 31, 38, 31, 42, 42, 42, 39, 36, 37, 
##     36, 38, 35, 39, 32, 28, 31, 40, 27, 25, 29, 30, 23, 20, 23, 
##     24, 22, 19, 24, 22, 27, 26, 24, 23, 25, 22, 31, 33, 33, 34, 
##     31, 29, 28, 32, 23, 29, 26, 29, 31, 32, 33, 31, 32, 39, 48, 
##     39, 44, 44, 33, 31, 33, 36, 31, 40, 37, 42, 42, 38, 39, 38, 
##     36, 38, 39, 39, 32, 38, 37, 34, 29, 35, 35, 34, 26, 25, 23, 
##     29, 27, 28, 23, 24, 23, 31, 32, 40, 33, 27, 29, 27, 27, 27, 
##     33, 34, 26, 30, 31, 29, 32, 30, 32, 28, 32, 36, 36, 35, 33, 
##     41, 32, 28, 37, 32, 28, 37, 36, 39, 41, 47, 45, 44, 40, 48, 
##     47, 48, 46, 40, 43, 41, 43, 25, 31, 32, 32, 31, 32, 32, 39, 
##     35, 35, 30, 35, 34, 30, 30, 31, 30, 36, 34, 35, 31, 30, 38, 
##     44, 34, 35, 36, 36, 40, 31, 41, 40, 40, 39, 41, 41, 36, 37, 
##     36, 32, 32, 35, 32, 36, 17, 23, 13, 24, 24, 21, 25, 29, 31, 
##     32, 27, 32, 37, 32, 38, 49, 41, 37, 38, 35, 32, 44, 30, 34, 
##     35, 34, 33, 32, 31, 31, 29, 30, 4, 14, 19, 15, 16, 17, 11, 
##     16, 13, 2, 4, 10, 10, 9, 11, 5, 3, 0, -4, 4, -1, 2, 0, -1, 
##     4, 0, 1, -5, 4, 2, 2, 2, 2, -1, 1, 5, 1, 2, 6, -2, 3, 7, 
##     0, 3, 4, 4, 1, 0, 2, 4, 4, 6, 9, 5, 6, 3, 5, 15, 9, 9, 11, 
##     4, 8, 9, 8, 8, 7, 3, 4, 6, 1, 3, 1, -6, 8, -1, 1, 4, 0, 4, 
##     -3, 8, 2, 6, 2, 0, -3, 1, 7, 4, 9, 2, 3, 7, -5, -2, 0, 3, 
##     0, -4, 3, 3, 1, 2, 6, 3, 8, 6, 3, 5, 10, 4, 1, 4, 9, 11, 
##     8, 3, 5, 10, 11, 6, 8, 6, 1, 2, -4, 5, 4, -2, 6, 1, 5, 9, 
##     11, 7, 12, 4, 10, -1, 8, 11, 5, 9, 11, 9, 5, 7, 4, 2, 2, 
##     3, 8, 6, 4, 6, -2, -2, 0, 5, 0, 1, 5, 10, 4, 3, 1, 9, 6, 
##     5, 13, 13, 1, 9, 15, 8, 13, 9, 6, 2, 4, 10, 2, 5, 8, 8, 8, 
##     10, 8, 7, 11, 7, -1, 4, -4, 1, 1, -1, 5, 0, 5, 3, 4, 6, 1, 
##     8, 5, 6, 6, 3, 3, 4, 4, 4, -2, 7, 9, 3, 6, 3, 4, 11, 6, 4, 
##     3, 7, 1, 7, 2, 0, 0, 8, 0, 4, 4, 2, 7, 4, 3, 2, 1, 2, 1, 
##     1, -3, 1, 4, 3, -4, 1, 5, 2, 7, 5, 5, 2, 6, 15, 3, -5, -7, 
##     -7, -2, -7, -4, -7, -2, 0, 3, 7, -3, -4, 0, -10, -1, -1, 
##     1, 1, 1, 0, -2, 3, -1, 4, -6, -1, 2, 1, 2, 1, 8, 0, 11, -2, 
##     1, 9, -4, -4, 0, -2, -4, -4, -9, -1, -2, -1, 3, 0, -1, 1, 
##     -1, 5, 9, 12, 7, 12, 6, 8, 3, 9, 3, 5, -4, 2, -9, -4, 0, 
##     -1, -1, 0, -1, -5, -7, -2, 0, 1, -4, -7, -3, -6, -4, -5, 
##     -3, 1, -4, 4, 0, -9, -4, -2, 5, -4, 0, -3, 7, 0, 1, 4, 5, 
##     7, 8, 4, 5, 3, 1, -1, 2, 5, 2, 0, 2, 2, -5, -1, -2, 2, -3, 
##     -1, 5, 5, 8, 11, 6, 6, 11, 13, 4, 1, 8, 1, 9, 7, 3, 4, 6, 
##     23, 24, 17, 21, 18, 17, 20, 16, 18, 15, 18, 17, 17, 19, 16, 
##     17, 18, 22, 18, 27, 23, 21, 21, 21, 13, 20, 19, 25, 21, 21, 
##     24, 17, 18, 24, 23, 20, 24, 34, 34, 28, 29, 27, 27, 25, 32, 
##     37, 29, 28, 32, 30, 28, 30, 34, 38, 31, 26, 27, 35, 33, 32, 
##     31, 26, 27, 24, 20, 15, 15, 22, 18, 21, 12, 10, 12, 11, 13, 
##     11, 7, 4, 10, 43, 42, 39, 38, 41, 38, 43, 48, 47, 43, 45, 
##     50, 42, 45, 38, 35, 37, 43, 34, 32, 41, 33, 34, 28, 30, 37, 
##     26, 30, 36, 30, 32, 37, 37, 41, 42, 41, 43, 46, 48, 36, 31, 
##     29, 31, 32, 34, 34, 44, 52, 53, 49, 57, 49, 48, 51, 51, 45, 
##     41, 40, 39, 41, 29, 34, 35, 41, 40, 41, 44, 49, 45, 49, 46, 
##     47, 44, 43, 41, 45, 41, 38, 37, 38, 42, 35, 35, 48, 47, 52, 
##     50, 54, 57, 54, 50, 57, 46, 50, 51, 48, 56, 46, 46, 46, 42, 
##     26, 28, 28, 29, 29, 37, 46, 47, 48, 54, 53, 60, 56, 56, 53, 
##     54, 53, 55, 54, 54, 51, 53, 45, 48, 42, 50, 47, 49, 54, 49, 
##     58, 59, 55, 42, 43, 38, 39, 39, 43, 35, 34, 44, 46, 44, 43, 
##     43, 48, 51, 54, 56, 49, 60, 54, 55, 52, 53, 46, 46, 48, 49, 
##     47, 40, 42, 43, 40, 45, 46, 45, 45, 43, 50, 49, 46, 51, 54, 
##     41, 40, 39, 40, 38, 41, 38, 35, 36, 35, 36, 43, 45, 45, 46, 
##     42, 54, 41, 46, 43, 40, 40, 34, 38, 35, 28, 26, 30, 22, 22, 
##     23, 31, 29, 32, 38, 42, 45, 47, 54, 45, 51, 54, 49, 54, 51, 
##     52, 56, 58, 61, 62, 64, 59, 57, 52, 48, 46, 52, 50, 50, 51, 
##     52, 60, 60, 66, 65, 62, 53, 59, 53, 52, 54, 51, 51, 56, 47, 
##     52, 49, 47, 45, 43, 46, 53, 55, 50, 46, 49, 42, 42, 41, 34, 
##     34, 34, 35, 34, 33, 36, 38, 38, 39, 48, 52, 50, 52, 56, 60, 
##     61, 68, 68, 68, 67, 67, 65, 58, 63, 59, 62, 60, 62, 68, 59, 
##     60, 64, 62, 57, 56, 59, 67, 65, 63, 63, 60, 58, 58, 54, 48, 
##     48, 40, 39, 34, 38, 36, 30, 36, 48, 37, 46, 53, 47, 56, 53, 
##     50, 49, 49, 49, 43, 48, 47, 45, 47, 42, 42, 40, 41, 48, 47, 
##     50, 49, 47, 41, 45, 45, 50, 47, 49, 50, 48, 49, 47, 44, 46, 
##     49, 60, 65, 62, 174, 172, 167, 170, 173, 174, 175, 175, 180, 
##     175, 170, 171, 172, 171, 176, 173, 161, 173, 164, 161, 166, 
##     170, 167, 169, 170, 163, 167, 165, 169, 163, 172, 166, 169, 
##     167, 167, 172, 166, 168, 168, 170, 162, 162, 171, 161, 165, 
##     163, 161, 166, 157, 166, 159, 161, 163, 163, 159, 167, 164, 
##     165, 166, 162, 164, 162, 167, 163, 159, 165, 163, 161, 162, 
##     160, 161, 162, 156, 171, 169, 162, 163, 169, 166, 167, 159, 
##     159, 157, 159, 166, 161, 155, 167, 169, 160, 160, 167, 159, 
##     166, 168, 165, 162, 167, 168, 167, 161, 165, 163, 172, 167, 
##     170, 161, 163, 172, 163, 169, 169, 166, 163, 160, 164, 167, 
##     158, 164, 161, 160, 159, 164, 164, 167, 160, 166, 167, 166, 
##     168, 163, 167, 169, 169, 164, 167, 170, 161, 167, 157, 160, 
##     163, 161, 167, 168, 164, 164, 175, 166, 169, 168, 165, 166, 
##     168, 167, 170, 172, 168, 165, 164, 166, 172, 160, 162, 159, 
##     160, 160, 165, 163, 163, 166, 160, 165, 162, 167, 171, 167, 
##     161, 166, 161, 163, 169, 168, 162, 163, 167, 165, 166, 164, 
##     165, 160, 166, 163, 170, 171, 166, 167, 171, 167, 164, 168, 
##     169, 159, 160, 162, 161, 161, 164, 163, 165, 157, 161, 166, 
##     159, 162, 159, 164, 167, 162, 160, 164, 158, 167, 163, 160, 
##     162, 162, 166, 162, 160, 162, 161, 162, 159, 167, 162, 159, 
##     163, 162, 162, 165, 163, 159, 163, 162, 167, 159, 161, 163, 
##     158, 154, 153, 158, 156, 160, 160, 153, 156, 165, 162, 160, 
##     163, 167, 156, 164, 164, 163, 163, 165, 163, 169, 163, 167, 
##     167, 161, 164, 162, 161, 166, 166, 162, 170, 163, 162, 162, 
##     162, 163, 164, 166, 155, 166, 159, 168, 166, 168, 161, 163, 
##     162, 163, 171, 161, 159, 163, 163, 164, 159, 157, 160, 157, 
##     158, 159, 157, 151, 156, 161, 167, 163, 164, 165, 166, 160, 
##     164, 165, 161, 163, 162, 162, 155, 163, 166, 166, 163, 161, 
##     164, 167, 164, 172, 172, 167, 164, 163, 175, 167, 164, 167, 
##     169, 163, 166, 168, 170, 166, 165, 171, 163, 164, 167, 170, 
##     168, 165, 171, 167, 171, 168, 170, 173, 169, 169, 166, 165, 
##     171, 165, 172, 174, 170, 169, 168, 165, 170, 164, 161, 170, 
##     159, 165, 168, 163, 169, 168, 169, 171, 165, 160, 162, 163, 
##     164, 166, 169, 168, 166, 165, 162, 164, 168, 160, 167, 168, 
##     173, 163, 166, 171, 168, 174, 166, 169, 166, 166, 167, 170, 
##     162, 168, 173, 175, 169, 170, 172, 177, 181, 181, 182, 187, 
##     191, 201, 197, 210, 206, 207, 214, 211, 214, 215, 216, 216, 
##     219, 221, 219, 218, 228, 220, 218, 218, 218, 230, 218, 220, 
##     220, 224, 221, 223, 222, 215, 217, 215, 216, 220, 208, 204, 
##     204, 201, 198, 193, 198, 191, 193, 191, 186, 190, 179, 188, 
##     183, 189, 182, 179, 173, 174, 174, 171, 165, 161, 159, 158, 
##     164, 159, 161, 164, 168, 175, 167, 174, 168, 171, 173, 172, 
##     183, 172, 180, 179, 183, 177, 174, 186, 183, 179, 180, 170, 
##     160, 165, 161, 162, 159, 162, 167, 163, 161, 162, 166, 166, 
##     170, 165, 168, 169, 166, 159, 166, 170, 162, 166, 158, 166, 
##     166, 166, 162, 167, 160, 155, 168, 159, 166, 156, 167, 164, 
##     159, 163, 166, 170, 168, 159, 158, 168, 164, 161, 166, 162, 
##     160, 160, 162, 168, 160, 161, 164, 165, 168, 164, 163, 162, 
##     168, 166, 161, 165, 170, 161, 168, 169, 161, 165, 161, 167, 
##     164, 164, 168, 161, 160, 160, 166, 166, 172, 162, 161, 171, 
##     164, 175, 163, 167, 168, 166, 166, 162, 170, 173, 167, 172, 
##     173, 168, 169, 168, 167, 168, 162, 173, 168, 166, 168, 169, 
##     162, 168, 167, 164, 164, 163, 170, 160, 158, 157, 157, 164, 
##     160, 159, 160, 164, 159, 161, 161, 164, 159, 165, 162, 159, 
##     160, 163, 168, 171, 167, 175, 167, 174, 173, 181, 173, 178, 
##     173, 168, 172, 178, 167, 166, 175, 166, 163, 160, 164, 165, 
##     163, 161, 161, 171, 169, 163, 159, 31, 30, 25, 27, 33, 30, 
##     32, 33, 33, 32, 38, 34, 34, 32, 28, 21, 23, 14, 21, 16, 16, 
##     14, 6, 3, 5, 4, -2, 2, 8, 8, 5, 16, 13, 9, 10, 11, 14, 7, 
##     8, 8, 8, 7, 8, 8, 11, 15, 15, 23, 10, 16, 20, 13, 16, 20, 
##     18, 29, 25, 23, 25, 29, 23, 23, 26, 23, 21, 20, 20, 16, 14, 
##     12, 17, 17, 11, 10, 8, 10, 11, 8, 8, 1, 5, 1, 3, 4, 5, 3, 
##     3, 4, 5, 7, 3, 7, 7, 14, 5, 3, 10, 10, 10, 14, 10, 10, 11, 
##     10, 4, 9, 8, 9, 15, 12, 14, 13, 15, 8, 12, 15, 9, 12, 10, 
##     14, 11, 15, 15, 16, 14, 17, 18, 24, 19, 22, 13, 22, 16, 19, 
##     23, 15, 18, 20, 19, 11, 12, 15, 16, 21, 17, 8, 17, 6, 7, 
##     18, 6, 5, 14, 7, 7, 15, 1, 2, 7, 10, 8, 10, 13, 8, 9, 11, 
##     10, 12, 11, 3, 9, 13, 12, 15, 8, 8, 9, 16, 13, 4, 9, 13, 
##     9, 19, 12, 13, 14, 14, 14, 13, 11, 24, 19, 20, 15, 18, 13, 
##     11, 16, 10, 6, 2, 1, 6, 6, 4, 4, 9, 1, 4, 4, 7, 5, 5, 5, 
##     4, 9, 7, 16, 10, 8, 11, 12, 11, 15, 13, 16, 22, 15, 19, 17, 
##     23, 15, 21, 18, 23, 17, 16, 19, 18, 19, 21, 13, 9, 11, 11, 
##     12, 11, 14, 13, 12, 6, 17, 9, 11, 7, 12, 14, 4, 15, 5, 10, 
##     9, 13, 9, 10, 8, 12, 13, 11, 11, 16, 12, 15, 14, 11, 6, 11, 
##     11, 13, 11, 11, 15, 12, 12, 13, 16, 10, 6, 16, 10, 18, 12, 
##     12, 13, 7, 14, 10, 16, 12, 11, 11, 18, 15, 21, 17, 22, 21, 
##     16, 15, 19, 24, 25, 20, 16, 15, 15, 18, 16, 16, 15, 17, 11, 
##     7, 6, 13, 14, 6, 13, 18, 14, 15, 12, 8, 10, 12, 8, 12, 13, 
##     7, 8, 12, 16, 12, 11, 14, 15, 9, 13, 16, 15, 11, 18, 15, 
##     14, 14, 15, 16, 14, 17, 18, 18, 18, 14, 13, 5, 10, 21, 10, 
##     12, 12, 13, 14, 15, 19, 17, 10, 16, 21, 15, 20, 16, 18, 22, 
##     20, 25, 24, 23, 26, 22, 25, 22, 18, 10, 18, 15, 9, 13, 10, 
##     8, 13, 8, 9, 24, 17, 20, 23, 21, 24, 29, 22, 20, 20, 22, 
##     19, 17, 29, 18, 28, 21, 22, 22, 22, 22, 28, 17, 17, 18, 16, 
##     21, 18, 20, 24, 24, 21, 25, 25, 25, 27, 31, 30, 27, 32, 27, 
##     24, 26, 19, 19, 19, 20, 16, 20, 18, 17, 25, 22, 20, 28, 21, 
##     18, 18, 19, 19, 18, 20, 13, 10, 16, 10, 19, 15, 15, 15, 16, 
##     16, 8, 16, 17, 21, 21, 21, 22, 19, 24, 26, 25, 25, 28, 23, 
##     25, 17, 25, 25, 16, 23, 21, 22, 22, 28, 26, 25, 25, 16, 19, 
##     20, 20, 16, 23, 19, 16, 14, 19, 16, 12, 16, 10, 17, 11, 19, 
##     16, 16, 19, 17, 21, 18, 16, 16, 18, 18, 15, 22, 21, 19, 23, 
##     24, 25, 24, 30, 18, 22, 25, 21, 21, 15, 17, 22, 21, 22, 21, 
##     16, 27, 25, 24, 19, 33, 33, 24, 30, 32, 29, 37, 40, 34, 37, 
##     29, 34, 39, 27, 32, 34, 30, 32, 23, 33, 28, 17, 15, 27, 21, 
##     12, 19, 17, 16, 11, 15, 15, 15, 13, 19, 14, 15, 16, 8, 17, 
##     15, 16, 12, 12, 13, 12, 16, 16, 19, 10, 19, 15, 16, 13, 13, 
##     12, 13, 17, 14, 15, 12, 11, 15, 16, 17, 18, 20, 12, 18, 16, 
##     11, 18, 20, 16, 16, 15, 21, 18, 23, 18, 24, 27, 26, 176, 
##     177, 171, 171, 181, 163, 167, 162, 166, 162, 163, 171, 162, 
##     159, 166, 161, 159, 163, 164, 161, 169, 162, 161, 163, 163, 
##     157, 166, 164, 161, 160, 159, 165, 168, 177, 177, 165, 171, 
##     171, 168, 169, 168, 171, 175, 174, 167, 162, 171, 168, 166, 
##     167, 169, 169, 171, 157, 166, 162, 167, 163, 166, 164, 170, 
##     166, 168, 171, 171, 163, 163, 169, 169, 167, 169, 168, 167, 
##     170, 162, 169, 169, 167, 174, 166, 168, 166, 174, 163, 170, 
##     171, 172, 172, 165, 171, 172, 166, 172, 172, 169, 172, 166, 
##     163, 168, 166, 16, 11, 17, 14, 13, 18, 15, 12, 20, 18, 16, 
##     19, 17, 21, 10, 15, 16, 17, 10, 15, 20, 10, 13, 9, 8, 10, 
##     13, 11, 17, 12, 19, 21, 15, 8, 17, 17, 10, 20, 22, 12, 18, 
##     13, 18, 19, 19, 19, 10, 6, 9, 14, 14, 9, 6, 12, 10, 11, 12, 
##     8, 14, 11, 15, 14, 9, 10, 9, 16, 9, 9, 10, 15, 12, 12, 5, 
##     17, 14, 15, 18, 16, 22, 18, 23, 20, 24, 17, 21, 23, 24, 26, 
##     16, 17, 19, 9, 18, 13, 8, 9, 4, 2, 1, 9, 2, 7, 1, 4, 5, 6, 
##     7, 0, 45, 53, 48, 48, 49, 56, 49, 44, 46, 44, 47, 46, 47, 
##     53, 56, 60, 59, 62, 62, 66, 43, 45, 44, 45, 34, 39, 43, 40, 
##     35, 36, 37, 41, 43, 41, 47, 46, 43, 45, 49, 48, 40, 51, 49, 
##     46, 51, 51, 46, 43, 48, 43, 43, 42, 45, 40, 36, 41, 42, 46, 
##     48, 50, 53, 53, 64, 66, 65, 73, 70, 72, 67, 62, 64, 58, 53, 
##     53, 48, 50, 49, 40, 40, 35, 34, 38, 39, 40, 47, 48, 49, 46, 
##     47, 43, 40, 42, 37, 32, 32, 30, 32, 29, 25, 42, 52, 48, 56, 
##     59, 46, 48, 47, 46, 41, 40, 43, 41, 39, 37, 41, 38, 43, 44, 
##     45, 46, 49, 57, 50, 51, 48, 47, 42, 44, 41, 30, 31, 31, 31, 
##     30, 33, 32, 33, 31, 21, 28, 24, 26, 25, 27, 23, 33, 26, 28, 
##     22, 22, 31, 28, 25, 26, 26, 40, 43, 38, 43, 35, 36, 35, 29, 
##     37, 40, 36, 40, 31, 37, 37, 40, 40, 35, 38, 33, 36, 27, 32, 
##     33, 31, 27, 29, 30, 34, 34, 33, 31, 34, 24, 32, 26, 27, 28, 
##     35, 32, 33, 28, 33, 35, 32, 35, 31, 29, 38, 42, 40, 40, 40, 
##     39, 43, 42, 40, 39, 43, 39, 41, 40, 45, 35, 46, 36, 39, 47, 
##     40, 37, 39, 41, 37, 45, 41, 33, 37, 39, 42, 42, 41, 34, 40, 
##     41, 34, 37, 41, 37, 40, 39, 40, 34, 36, 38, 31, 33, 30, 31, 
##     27, 32, 34, 32, 33, 36, 37, 40, 35, 45, 36, 40, 39, 40, 35, 
##     35, 37, 36, 37, 4, 5, 5, 7, 0, -5, -2, -1, -5, -3, -3, 1, 
##     5, -7, -5, -12, 0, 7, 0, -2, 0, -2, -3, -3, 1, -11, -13, 
##     -10, -18, 2, 6, 3, -14, -18, -12, -19, -17, -30, -24, -19, 
##     -17, -15, -17, -16, -21, -7, -7, -5, -3, -8, -2, -8, -4, 
##     0, -3, -1, -3, -3, -1, -2, 1, 2, -3, 1, 11, 16, 7, 11, 7, 
##     11, 7, 12, 12, 16, 10, 13, 13, 10, 10, 15, 15, 8, 17, 13, 
##     2, 9, 10, 7, 12, 16, 12, 13, 9, 13, 9, 10, 16, 14, 17, 10, 
##     13, 13, 17, 13, 24, 22, 21, 23, 21, -12, -2, -5, 1, 1, 1, 
##     -1, -3, 4, 0, -3, 1, -3, 5, -1, 2, -4, -4, -1, -3, -3, 1, 
##     6, -4, -1, 2, 2, 4, 1, -1, -4, 1, -2, 0, 3, -1, -1, 6, -3, 
##     1, -3, 5, 11, 4, 5, 0, 2, 0, -3, -3, -1, 1, -2, -1, -5, -1, 
##     -7, -5, -5, 0, -1, -6, -1, 3, 1, -1, -4, 1, 2, 4, -3, 7, 
##     7, 2, -1, 6, 1, 4, 2, 3, 3, 4, 14, 0, 2, -2, -1, 1, 1, -2, 
##     4, -1, -1, 2, 1, 8, 11, 4, 6, 1, 6, 10, 2, 7, 7, 5, 1, -2, 
##     0, -3, 1, -3, 5, 7, -10, -5, 2, 5, 4, 8, 8, -4, -5, 5, -3, 
##     -3, 2, 1, -3, 7, 3, 6, 10, 6, 14, 10, 9, 8, 2, 8, 9, 4, 11, 
##     10, 7, 1, 2, 1, 0, 2, 3, 4, -2, 9, 7, -1, -3, 3, 3, 5, 3, 
##     7, 4, 5, 7, 3, 0, 3, 1, -1, 11, 8, 11, 10, 4, 3, 14, 8, 5, 
##     7, 4, 0, 0, 9, 2, -1, 2, 4, 2, 0, -1, 2, -2, 0, -1, -10, 
##     -8, -5, -2, -7, -2, -6, -10, -11, 1, -7, -3, -3, 3, -7, -8, 
##     -7, 0, -3, -7, -1, -7, -4, -2, -1, -5, -1, -4, -2, -1, 3, 
##     -1, 6, 5, 2, 5, 3, 9, 4, 10, 3, 7, 7, 9, -2, 9, 8, 9, 12, 
##     8, 1, -1, 2, 4, -1, 1, 2, 3, 5, 2, -5, 4, -2, -2, 0, -1, 
##     -4, 6, 1, 4, -3, 2, -1, 9, 1, -2, 0, 12, 7, 2, 9, 0, 10, 
##     7, 4, 4, 3, 1, 1, 3, 3, 6, 9, 4, 11, 0, 8, 8, 9, 13, 14, 
##     13, 7, 13, 5, 8, 6, 15, 16, 15, 9, 11, 14, 13, 9, 4, 9, 14, 
##     9, 4, 9, 11, 11, 8, 15, 9, 13, 2, 7, 5, 8, 7, -2, 9, 16, 
##     10, 12, 11, 9, 10, 10, 7, 9, 10, 2, 1, 3, 4, 5, 4, 3, 6, 
##     0, 8, 6, 2, 6, 1, 4, 10, 10, 7, 7, 9, 4, 8, 10, 11, 7, 3, 
##     4, 7, 7, 5, 11, 12, 2, 15, 12, 9, 16, 8, 9, 14, 12, 3, 15, 
##     13, 16, 17, 16, 17, 17, 13, 13, 13, 8, 10, 1, 9, 8, 9, 2, 
##     7, 1, 3, 5, -1, 8, 5, 5, 6, 7, 9, 8, 9, 3, 11, 4, 10, 10, 
##     13, 17, 17, 17, 10, 19, 21, 19, 14, 18, 21, 25, 18, 17, 15, 
##     17, 17, 17, 14, 19, 15, 9, 15, 13, 9, 16, 10, 13, 11, 21, 
##     16, 16, 24, 8, 8, 14, 11, 13, 11, 14, 18, 19, 18, 18, 16, 
##     13, 12, 12, 13, 17, 22, 19, 9, 16, 18, 17, 24, 17, 20, 21, 
##     13, 18, 16, 15, 15, 10, 12, 11, 7, 7, 14, 14, 11, 7, 16, 
##     7, 9, 10, 12, 15, 8, 7, 19, 12, 16, 8, 10, 7, 9, 13, 9, 12, 
##     16, 11, 15, 22, 12, 14, 14, 17, 16, 12, 11, 10, 10, 20, 13, 
##     6, 10, 3, 12, 8, 3, 4, 11, 2, -2, 5, 5, 12, 9, 7, 8, 2, 6, 
##     5, -1, 3, 10, 9, 5, 11, 5, 10, 9, 9, 33, 32, 36, 33, 37, 
##     34, 32, 38, 38, 36, 34, 35, 37, 36, 40, 31, 33, 36, 37, 37, 
##     35, 35, 29, 35, 35, 40, 34, 35, 35, 39, 31, 32, 43, 36, 31, 
##     32, 34, 38, 37, 40, 35, 40, 41, 40, 39, 40, 38, 38, 38, 40, 
##     38, 43, 44, 44, 39, 41, 38, 36, 43, 32, 38, 32, 29, 32, 36, 
##     41, 37, 39, 34, 34, 27, 39, 33, 34, 29, 35, 27, 23, 34, 33, 
##     30, 31, 32, 24, 34, 33, 31, 31, 27, 37, 37, 44, 33, 33, 35, 
##     38, 32, 43, 38, 44, 43, 40, 39, 37, 38, 40, 36, 33, 35, 32, 
##     35, 37, 32, 34, 35, 35, 36, 34, 37, 36, 40, 37, 31, 31, 28, 
##     37, 37, 38, 32, 26, 33, 34, 31, 30, 32, 32, 37, 30, 31, 34, 
##     33, 34, 36, 38, 29, 28, 36, 28, 35, 32, 30, 42, 38, 40, 42, 
##     40, 41, 36, 38, 32, 41, 33, 33, 31, 28, 32, 27, 30, 26, 31, 
##     30, 28, 32, 26, 39, 31, 24, 29, 28, 48, 48, 52, 47, 48, 46, 
##     39, 40, 32, 39, 45, 42, 38, 36, 38, 41, 37, 40, 34, 36, 47, 
##     39, 40, 42, 39, 46, 49, 43, 38, 42, 42, 40, 40, 35, 32, 29, 
##     36, 32, 39, 32, 35, 31, 26, 25, 29, 27, 26, 32, 39, 29, 34, 
##     39, 34, 38, 32, 42, 38, 44, 39, 41, 38, 39, 44, 44, 46, 47, 
##     45, 41, 47, 43, 43, 31, 37, 30, 34, 31, 40, 35, 37, 42, 33, 
##     33, 30, 30, 32, 24, 27, 32, 33, 33, 35, 33, 33, 30, 37, 32, 
##     35, 35, 42, 36, 38, 35, 41, 42, 45, 39, 36, 40, 37, 36, 42, 
##     35, 32, 37, 34, 27, 35, 33, 35, 39, 34, 32, 31, 31, 32, 34, 
##     31, 33, 32, 30, 30, 29, 30, 27, 24, 21, 26, 24, 23, 28, 22, 
##     28, 26, 30, 21, 32, 37, 39, 38, 41, 41, 40, 43, 46, 41, 42, 
##     41, 32, 41, 33, 35, 36, 40, 32, 36, 40, 36, 38, 31, 36, 35, 
##     31, 36, 38, 40, 40, 41, 38, 38, 37, 37, 48, 44, 44, 44, 48, 
##     46, 46, 48, 44, 48, 46, 50, 48, 43, 51, 43, 41, 47, 46, 41, 
##     48, 42, 39, 44, 40, 49, 49, 53, 53, 47, 49, 52, 47, 42, 47, 
##     44, 43, 45, 44, 45, 48, 40, 43, 43, 49, 48, 45, 49, 44, 51, 
##     51, 53, 48, 52, 52, 51, 15, 13, 10, 17, 16, 14, 11, 15, 14, 
##     16, 17, 15, 13, 12, 6, 15, 13, 12, 14, 7, 11, 12, 11, 5, 
##     10, 7, 10, 8, 12, 12, 8, 11, 8, 14, 5, 7, 9, 9, 6, 4, 1, 
##     7, 0, 9, 0, 0, 5, 2, 1, -1, 3, 1, 2, 0, -6, 4, 5, 3, 6, 8, 
##     -1, 4, 5, 4, 2, -1, 1, 6, 5, 6, 2, 1, 4, 5, 0, 3, 5, 5, 2, 
##     9, 0, 4, 7, -1, 7, 2, -4, 8, -2, -1, 1, -3, 2, 0, 6, 0, -1, 
##     1, -1, -1, -1, 1, 12, 1, 8, 7, 11, 5, 14, 3, 2, 3, 3, 10, 
##     6, 4, 0, 3, 3, 5, 4, -2, 4, 5, 6, 3, 2, 14, -2, 1, 4, -2, 
##     5, 2, 2, -1, -4, 1, 1, 1, 1, 2, 5, 5, 2, 9, 3, 9, 8, 9, 4, 
##     0, 7, 2, 2, -3, -5, 0, 1, 7, 3, 3, 3, -2, 0, 5, 4, -1, 4, 
##     -2, 0, 3, 6, 4, 1, 2, 0, 2, -5, -3, 3, 7, -2, 0, -1, -5, 
##     -1, 0, -7, 2, 0, 6, 1, 3, 2, 8, 3, 5, 7, -1, 3, 3, -2, 0, 
##     3, -1, 7, 5, 4, 10, 2, 6, 3, 5, 11, 5, 8, 11, 10, 4, 1, 5, 
##     2, 4, 5, 0, -1, 2, 2, 7, 5, -4, 0, 1, 0, -3, -2, 3, 3, 2, 
##     2, 3, 5, 8, 3, 3, 5, 2, 4, 5, 5, 4, 8, 8, 6, 10, 6, 5, 1, 
##     0, 1, 2, 6, 13, 6, 11, 3, 2, 8, 3, 12, 9, 5, 7, 6, 2, -4, 
##     6, -2, 9, 2, 10, 0, 1, 2, -2, 10, 1, 6, 6, -5, 2, 10, 1, 
##     6, 2, 5, 0, 8, 3, 4, -3, 0, 4, 0, 5, 1, 0, 1, 3, -1, -7, 
##     -4, 3, -6, 3, 1, -1, 0, -2, -1, -1, -8, -6, -1, -7, 4, -1, 
##     4, 2, 1, -1, 9, 4, 4, 3, 3, 8, 6, 6, 8, 11, 3, 11, 9, 3, 
##     11, 9, 3, 5, 10, 4, 3, 10, 8, 9, 9, 8, 14, 8, 8, 4, 3, 0, 
##     8, 2, 0, 6, 6, 1, 3, 2, 6, 8, 7, 11, 8, 9, 4, 8, 5, 3, -3, 
##     1, 3, -4, -1, -7, -7, -3, -6, -2, -2, -2, -2, -4, -3, -2, 
##     -1, -9, -7, -4, 2, -7, -4, 0, -7, -1, -1, -4, -4, -3, 0, 
##     -6, -9, 0, -2, 4, -5, 4, -5, -2, -4, 1, 2, -2, 0, -2, 1, 
##     -5, -1, 4, 3, 5, 2, 2, -1, 5, 5, 4, -4, 59, 60, 54, 57, 61, 
##     53, 55, 52, 59, 56, 54, 53, 56, 50, 55, 51, 49, 46, 43, 43, 
##     40, 52, 44, 49, 38, 44, 48, 44, 48, 50, 40, 44, 49, 50, 42, 
##     48, 47, 41, 46, 49, 46, 47, 55, 50, 49, 47, 50, 45, 44, 45, 
##     41, 39, 46, 47, 45, 44, 49, 44, 38, 41, 47, 51, 44, 50, 46, 
##     48, 48, 42, 47, 50, 48, 38, 41, 43, 46, 42, 41, 44, 43, 44, 
##     40, 42, 52, 44, 47, 45, 46, 51, 52, 48, 45, 43, 40, 42, 42, 
##     50, 41, 46, 43, 44, 43, 44, 46, 48, 47, 45, 45, 41, 45, 46, 
##     45, 43, 46, 53, 47, 46, 53, 47, 50, 41, 45, 45, 49, 48, 51, 
##     49, 53, 46, 42, 39, 48, 48, 48, 46, 49, 46, 52, 47, 47, 45, 
##     48, 54, 53, 48, 55, 56, 56, 54, 52, 52, 49, 48, 47, 46, 44, 
##     47, 53, 51, 53, 57, 54, 51, 55, 51, 55, 53, 44, 43, 44, 46, 
##     47, 46, 45, 48, 46, 42, 45, 44, 43, 49, 48, 49, 59, 49, 52, 
##     47, 50, 44, 47, 47, 45, 45, 46, 46, 51, 50, 47, 49, 49, 59, 
##     46, 53, 50, 51, 50, 53, 47, 50, 46, 47, 41, 39, 38, 39, 41, 
##     40, 38, 39, 40, 44, 40, 48, 49, 52, 55, 49, 50, 45, 51, 44, 
##     47, 54, 45, 44, 53, 44, 53, 47, 44, 42, 45, 53, 43, 53, 48, 
##     47, 39, 46, 41, 48, 44, 41, 41, 45, 45, 45, 50, 42, 52, 52, 
##     57, 51, 49, 50, 48, 45, 50, 45, 46, 48, 49, 51, 46, 50, 47, 
##     46, 45, 47, 45, 46, 41, 41, 44, 45, 48, 47, 45, 42, 55, 54, 
##     48, 56, 55, 51, 49, 50, 45, 53, 47, 52, 43, 49, 53, 51, 47, 
##     50, 45, 49, 54, 50, 56, 46, 52, 43, 48, 41, 47, 44, 44, 41, 
##     36, 38, 43, 44, 48, 45, 44, 44, 44, 51, 47, 43, 42, 47, 43, 
##     41, 45, 45, 45, 43, 45, 45, 46, 45, 50, 52, 46, 47, 45, 56, 
##     46, 49, 46, 49, 47, 47, 44, 51, 49, 46, 57, 56, 59, 55, 57, 
##     59, 56, 56, 58, 59, 56, 54, 55, 51, 57, 58, 58, 54, 51, 52, 
##     61, 50, 52, 55, 58, 55, 51, 61, 54, 57, 52, 53, 60, 53, 56, 
##     57, 56, 54, 55, 56, 57, 59, 61, 55, 52, 56, 59, 57, 55, 56, 
##     45, 51, 48, 52, 53, 56, 59, 53, 51, 60, 56, 53, 52, 51, 49, 
##     51, 50, 41, 46, 51, 46, 51, 51, 56, 51, 56, 55, 48, 58, 55, 
##     59, 55, 51, 48, 40, 46, 46, 45, 45, 46, 46, 48, 49, 49, 54, 
##     56, 55, 55, 54, 52, 47, 44, 42, 39, 34, 32, 30, 29, 34, 33, 
##     37, 41, 43, 47, 46, 49, 46, 51, 43, 48, 39, 41, 36, 43, 39, 
##     52, 48, 43, 53, 45, 46, 42, 46, 41, 49, 45, 42, 47, 42, 48, 
##     44, 45, 43, 40, 42, 49, 50, 44, 44, 46, 45, 52, 52, 45, 47, 
##     46, 48, 43, 46, 57, 49, 48, 53, 48, 52, 50, 50, 53, 53, 50, 
##     50, 53, 58, 61, 55, 51, 61, 59, 57, 57, 59, 62, 63, 56, 66, 
##     64, 69, 65, 65, 67, 65, 71, 62, 62, 58, 62, 52, 53, 57, 59, 
##     48, 49, 51, 50, 54, 51, 52, 55, 50, 54, 50, 52, 45, 44, 51, 
##     50, 50, 49, 46, 52, 50, 48, 42, 55, 48, 48, 47, 49, 50, 45, 
##     50, 182, 176, 175, 176, 175, 176, 173, 175, 175, 174, 179, 
##     175, 171, 174, 174, 176, 178, 168, 175, 173, 172, 177, 185, 
##     173, 177, 170, 177, 176, 180, 176, 175, 171, 171, 170, 172, 
##     170, 170, 174, 177, 180, 171, 167, 166, 172, 165, 173, 175, 
##     172, 173, 175, 168, 171, 172, 173, 165, 164, 169, 164, 166, 
##     165, 170, 162, 166, 166, 164, 166, 170, 167, 172, 166, 176, 
##     165, 171, 173, 172, 171, 170, 170, 167, 169, 170, 167, 167, 
##     168, 172, 170, 170, 173, 170, 173, 170, 171, 176, 174, 165, 
##     166, 169, 167, 170, 168, 166, 171, 167, 168, 165, 164, 162, 
##     166, 162, 167, 170, 158, 163, 161, 168, 166, 166, 168, 162, 
##     160, 169, 170, 166, 164, 166, 166, 160, 163, 161, 164, 166, 
##     170, 167, 175, 167, 169, 166, 164, 165, 161, 166, 166, 164, 
##     160, 162, 164, 171, 166, 167, 165, 167, 165, 171, 168, 161, 
##     164, 169, 163, 163, 163, 162, 173, 175, 167, 166, 167, 167, 
##     174, 168, 165, 165, 160, 165, 167, 165, 164, 158, 163, 160, 
##     166, 166, 160, 173, 167, 163, 166, 161, 163, 167, 166, 169, 
##     164, 166, 164, 165, 167, 155, 162, 163, 166, 162, 160, 162, 
##     159, 167, 165, 166, 166, 167, 169, 169, 168, 168, 164, 169, 
##     168, 170, 171, 167, 172, 168, 163, 161, 162, 165, 169, 165, 
##     174, 162, 168, 170, 168, 157, 166, 169, 162, 169, 169, 167, 
##     164, 167, 164, 166, 160, 172, 166, 165, 156, 159, 169, 163, 
##     167, 161, 165, 167, 172, 171, 160, 163, 170, 163, 167, 165, 
##     163, 168, 167, 172, 165, 169, 168, 167, 169, 164, 161, 164, 
##     162, 164, 165, 167, 167, 166, 161, 166, 161, 161, 170, 171, 
##     172, 165, 165, 162, 162, 171, 173, 166, 165, 169, 165, 167, 
##     163, 166, 164, 169, 167, 164, 162, 159, 160, 162, 162, 164, 
##     169, 167, 165, 161, 167, 162, 167, 166, 167, 175, 165, 168, 
##     166, 172, 174, 162, 164, 171, 169, 162, 171, 167, 166, 168, 
##     161, 166, 164, 167, 171, 163, 162, 161, 167, 162, 161, 166, 
##     161, 166, 160, 168, 168, 160, 164, 164, 164, 167, 170, 160, 
##     166, 167, 166, 164, 166, 165, 161, 164, 157, 158, 169, 159, 
##     163, 167, 163, 166, 167, 161, 163, 164, 166, 159, 168, 159, 
##     167, 161, 169, 174, 163, 163, 165, 163, 164, 167, 168, 167, 
##     172, 165, 162, 171, 163, 167, 171, 162, 165, 168, 167, 162, 
##     165, 165, 165, 166, 166, 161, 169, 160, 166, 173, 167, 173, 
##     169, 165, 171, 164, 164, 160, 167, 166, 165, 162, 166, 173, 
##     165, 164, 165, 173, 168, 171, 169, 172, 165, 175, 168, 170, 
##     161, 168, 162, 166, 165, 167, 168, 163, 164, 160, 159, 167, 
##     161, 161, 166, 164, 166, 166, 168, 166, 159, 160, 165, 163, 
##     165, 167, 157, 166, 160, 160, 169, 161, 166, 165, 162, 163, 
##     165, 164, 160, 166, 167, 161, 164, 159, 166, 163, 163, 164, 
##     158, 169, 172, 177, 172, 172, 172, 167, 179, 180, 174, 181, 
##     172, 183, 175, 182, 175, 176, 175, 175, 177, 170, 176, 168, 
##     175, 168, 168, 169, 174, 175, 175, 170, 168, 182, 173, 169, 
##     170, 175, 172, 172, 182, 176, 184, 177, 173, 175, 178, 165, 
##     167, 167, 164, 166, 172, 161, 167, 168, 172, 171, 165, 173, 
##     166, 168, 170, 170, 169, 167, 163, 162, 165, 172, 167, 166, 
##     161, 164, 173, 171, 170, 165, 167, 162, 164, 166, 172, 168, 
##     170, 164, 176, 169, 169, 167, 165, 166, 160, 169, 168, 174, 
##     172, 168, 167, 167, 171, 164, 174, 166, 171, 169, 160, 160, 
##     160, 169, 164, 168, 167, 164, 164, 167, 160, 161, 162, 164, 
##     174, 168, 163, 169, 160, 159, 166, 166, 166, 163, 160, 167, 
##     169, 162, 163, 163, 166, 167, 169, 168, 170, 172, 174, 159, 
##     167, 169, 171, 163, 164, 164, 159, 163, 166, 163, 167, 167, 
##     163, 168, 170, 165, 160, 171, 166, 168, 167, 165, 166, 167, 
##     166, 167, 167, 165, 168, 159, 173, 166, 167, 172, 164, 164, 
##     163, 159, 166, 162, 164, 163, 165, 165, 160, 173, 160, 164, 
##     166, 161, 165, 171, 172, 171, 169, 170, 168, 172, 169, 172, 
##     167, 168, 166, 168, 167, 174, 175, 171, 166, 168, 173, 170, 
##     166, 163, 172, 172, 173, 169, 169, 177, 176, 167, 174, 172, 
##     166, 168, 166, 170, 167, 170, 172, 168, 171, 179, 166, 173, 
##     176, 172, 176, 173, 177, 176, 172, 175, 173, 175, 175, 177, 
##     179, 175, 176, 180, 174, 174, 169, 23, 26, 25, 31, 30, 25, 
##     32, 29, 31, 31, 36, 30, 27, 30, 32, 27, 25, 27, 23, 31, 24, 
##     30, 34, 31, 33, 28, 29, 33, 29, 27, 30, 25, 33, 30, 33, 32, 
##     28, 25, 31, 33, 38, 25, 31, 31, 32, 28, 33, 25, 27, 30, 32, 
##     34, 28, 27, 25, 34, 30, 29, 34, 26, 31, 27, 28, 27, 32, 37, 
##     33, 26, 28, 27, 26, 27, 27, 23, 31, 25, 32, 30, 26, 25, 27, 
##     36, 33, 24, 31, 29, 26, 28, 28, 27, 30, 35, 26, 30, 26, 25, 
##     26, 26, 27, 23, 27, 33, 30, 28, 31, 31, 28, 29, 27, 30, 26, 
##     27, 28, 30, 27, 26, 33, 32, 30, 29, 25, 26, 27, 27, 24, 25, 
##     27, 30, 29, 28, 22, 24, 31, 26, 28, 24, 24, 32, 30, 32, 29, 
##     25, 27, 34, 20, 33, 29, 33, 27, 31, 24, 26, 25, 26, 27, 29, 
##     19, 26, 14, 22, 19, 22, 20, 20, 26, 27, 23, 29, 30, 26, 33, 
##     25, 28, 21, 30, 24, 21, 26, 28, 29, 24, 28, 26, 27, 25, 26, 
##     30, 28, 28, 23, 24, 25, 31, 27, 26, 28, 24, 27, 34, 28, 31, 
##     26, 34, 29, 27, 27, 24, 31, 26, 25, 22, 27, 26, 24, 24, 26, 
##     27, 30, 25, 29, 21, 28, 35, 25, 28, 31, 23, 26, 19, 25, 26, 
##     24, 23, 22, 27, 28, 32, 27, 23, 26, 28, 27, 31, 26, 32, 32, 
##     30, 33, 35, 35, 31, 31, 33, 35, 24, 30, 24, 19, 21, 24, 22, 
##     27, 26, 22, 24, 24, 22, 33, 31, 27, 27, 28, 25, 25, 33, 27, 
##     25, 21, 26, 22, 28, 29, 30, 22, 24, 24, 27, 22, 23, 26, 18, 
##     24, 26, 27, 29, 24, 27, 26, 31, 30, 27, 27, 29, 26, 32, 26, 
##     31, 30, 32, 30, 27, 32, 29, 23, 30, 36, 23, 26, 23, 23, 27, 
##     23, 31, 26, 29, 24, 26, 26, 28, 30, 30, 30, 29, 36, 29, 32, 
##     31, 25, 28, 28, 30, 28, 24, 23, 31, 32, 27, 23, 22, 31, 31, 
##     34, 29, 30, 27, 27, 27, 29, 29, 24, 27, 30, 27, 23, 30, 29, 
##     26, 27, 32, 30, 28, 29, 30, 30, 41, 40, 40, 35, 37, 42, 36, 
##     37, 32, 41, 30, 32, 38, 29, 24, 34, 27, 30, 28, 34, 31, 34, 
##     36, 34, 33, 31, 33, 31, 28, 35, 28, 32, 30, 29, 26, 25, 28, 
##     32, 28, 26, 32, 27, 21, 20, 28, 21, 23, 26, 20, 25, 20, 22, 
##     25, 24, 21, 24, 25, 25, 26, 28, 27, 25, 27, 28, 26, 27, 29, 
##     29, 27, 34, 28, 29, 40, 30, 27, 32, 32, 25, 29, 25, 29, 33, 
##     32, 30, 33, 33, 27, 27, 28, 34, 36, 37, 25, 39, 34, 34, 26, 
##     28, 24, 22, 22, 22, 16, 21, 22, 22, 26, 27, 29, 24, 27, 25, 
##     25, 26, 30, 26, 29, 30, 25, 31, 23, 26, 27, 30, 35, 26, 33, 
##     29, 28, 31, 29, 31, 24, 27, 28, 30, 26, 29, 23, 31, 24, 28, 
##     30, 28, 38, 32, 31, 29, 29, 29, 32, 27, 32, 31, 36, 27, 26, 
##     32, 34, 30, 26, 23, 27, 27, 29, 56, 55, 62, 57, 60, 56, 58, 
##     54, 57, 62, 60, 51, 56, 58, 52, 58, 54, 48, 46, 56, 53, 49, 
##     48, 50, 47, 51, 47, 57, 56, 50, 52, 49, 57, 51, 47, 51, 47, 
##     49, 46, 49, 47, 51, 53, 49, 46, 56, 45, 40, 43, 41, 44, 48, 
##     49, 48, 47, 49, 49, 50, 43, 43, 55, 41, 36, 43, 43, 42, 36, 
##     39, 37, 38, 39, 40, 40, 38, 43, 42, 37, 37, 46, 31, 37, 32, 
##     31, 32, 31, 24, 30, 28, 31, 27, 36, 30, 32, 31, 28, 31, 33, 
##     32, 34, 32, 36, 30, 33, 36, 36, 29, 27, 23, 26, 25, 26, 23, 
##     23, 19, 20, 25, 26, 29, 17, 25, 20, 29, 31, 31, 25, 32, 31, 
##     31, 27, 34, 30, 37, 42, 45, 3, 5, 3, 5, 8, 2, 11, 6, 3, 2, 
##     9, 9, 6, 13, 12, 13, 10, 8, 5, 15, 17, 12, 6, 4, 8, 18, 4, 
##     9, 10, 5, 12, 9, 11, 8, 9, 9, 18, 16, 15, 18, 15, 13, 11, 
##     13, 13, 12, 18, 10, 9, 5, 10, 10, 2, 3, 3, 7, 7, 1, 2, 1, 
##     3, 8, 6, 10, -1, 2, 7, 5, 8, 10, 5, 6, 4, 8, 14, 7, 3, 2, 
##     5, 2, 10, 3, 3, 4, 6, 3, 4, 5, 9, 4, 6, 10, 9, 6, 16, 14, 
##     21, 4, 3, 5, -2, 1, 0, 5, 4, 6, 1, 0, 0, 6, 6, -5, -1, 5, 
##     1, 0, 4, 0, 1, 0, 0, 4, 4, 8, 7, 6, 8, -1, 1, -5, 8, 4, 0, 
##     4, 5, -1, 1, -2, 3, 7, 0, 2, 9, 6, 6, 5, 6, 7, 5, 2, 3, 1, 
##     2, 4, 7, 5, 11, 6, 10, 6, 3, 2, -1, 3, 3, -4, 5, 14, 5, 3, 
##     -4, -1, 2, -8, -6, -1, 3, 1, 2, 4, 3, 4, 3, -1, -4, 4, 1, 
##     3, -2, -1, -1, 3, 3, 4, 0, 0, -1, 8, 1, 3, 4, 1, -4, 1, -7, 
##     4, -2, 4, 1, -4, -1, -1, -7, 3, -3, 0, 4, -5, 3, 1, 3, 5, 
##     1, 2, 4, -1, 0, 5, -5, 0, 2, 0, -3, 1, 3, 0, 0, 2, -2, -3, 
##     -1, 10, 4, 1, -3, 3, -2, -3, 7, 4, 1, 6, -2, 7, -2, -8, -5, 
##     -13, -6, -7, -6, -3, -7, 0, -5, -7, 0, -1, -7, 1, -4, 3, 
##     0, -6, -4, 0, 3, 0, -1, -7, 1, -6, -1, -1, 0, -4, -3, 0, 
##     -2, -2, 0, 7, 2, 7, 6, 8, 5, 0, 4, -1, 7, 10, 0, 6, 1, 8, 
##     4, 4, 5, 4, 4, 6, 12, 11, 2, 10, 5, 9, 11, 10, 13, 9, 5, 
##     9, 15, 14, 14, 10, 4, 12, 14, 10, 10, 5, 9, 7, 3, 7, 7, 2, 
##     2, 1, 2, 5, 7, 7, 9, 11, 8, 9, 9, 6, 10, 8, 5, 3, 10, 4, 
##     4, 9, 7, 8, 9, 10, 6, 3, 10, 5, 3, 7, 3, 9, 6, 10, 8, 9, 
##     13, 9, 12, 10, 10, 15, 8, 10, 8, 7, 7, 7, 4, 5, 8, 11, 7, 
##     9, 1, 6, 8, 7, 3, 12, 10, 8, 8, 8, 5, 10, 10, 6, 3, 9, 0, 
##     5, 6, 7, 2, 2, 8, -2, 4, 0, 2, -3, 7, -3, 3, 5, -3, 9, 6, 
##     3, 7, 3, 1, 11, 5, 9, 7, 7, 4, 14, 7, 7, 6, 13, 5, 8, 9, 
##     8, -1, -1, -1, 3, 2, 6, -3, 4, 1, -2, 9, 0, 2, 2, 1, 9, 3, 
##     8, 7, 6, 7, 7, 2, 8, 5, 7, 7, 7, 0, 7, -1, 5, 3, 5, 7, 11, 
##     2, 5, 10, 2, 1, 7, 6, 9, 3, 4, 3, 1, 4, -1, -5, -1, 1, 1, 
##     -11, -2, 0, 2, 1, 0, 2, 8, 0, -1, 6, 3, 6, 3, 4, -2, 0, 5, 
##     3, 3, 4, 8, 7, 1, 5, 4, 4, 4, 4, 5, 7, 1, 4, 3, 7, 6, 6, 
##     5, 5, 3, 3, 0, -2, -1, 0, 7, -4, 2, 2, -4, 1, 0, 1, 6, 2, 
##     3, 3, 8, 7, 8, 3, 5, 4, 6, 3, 4, 3, 9, 6, 2, -1, 1, 6, -1, 
##     5, 4, 2, -3, 8, 9, 14, 8, 10, 10, 14, 11, 12, 9, 4, 14, 10, 
##     9, 4, 9, 0, 7, 8, 3, 12, 6, 6, 13, 4, 8, 10, 8, 7, 6, 13, 
##     14, 3, 8, 9, 6, 7, 9, 7, 6, 8, 4, 6, 8, 11, 13, 18, 13, 11, 
##     13, 13, 16, 10, 15, 6, 4, 9, 2, 3, 5, 5, 7, 6, 8, 8, 3, 9, 
##     8, 10, 12, 9, 12, 9, 14, 4, 11, 9, 5, 9, 13, 10, 7, 1, 0, 
##     3, 13, 8, 5, 4, 6, -1, 1, 0, 0, 2, 3, 3, 0, 1, -5, 0, -4, 
##     3, -2, 4, 6, -8, 0, 0, -4, 2, -3, -1, 1, 1, 5, 7, 19, 17, 
##     18, 24, 22, 26, 18, 24, 24, 20, 18, 21, 22, 21, 19, 23, 18, 
##     20, 26, 19, 23, 19, 18, 27, 26, 24, 32, 25, 26, 26, 25, 23, 
##     31, 27, 27, 19, 25, 30, 24, 19, 22, 22, 17, 23, 20, 19, 22, 
##     24, 25, 28, 20, 27, 22, 17, 27, 25, 27, 24, 31, 23, 23, 25, 
##     22, 25, 27, 18, 22, 22, 23, 26, 19, 26, 22, 26, 24, 27, 26, 
##     25, 24, 24, 23, 26, 25, 26, 26, 22, 27, 24, 23, 26, 29, 23, 
##     21, 22, 26, 20, 25, 24, 28, 27, 23, 24, 17, 18, 18, 22, 22, 
##     32, 21, 22, 23, 21, 22, 19, 18, 20, 23, 22, 18, 24, 21, 28, 
##     23, 30, 27, 23, 25, 27, 28, 29, 29, 33, 22, 24, 25, 25, 18, 
##     21, 24, 21, 16, 14, 18, 19, 19, 23, 16, 19, 17, 18, 16, 12, 
##     23, 13, 11, 21, 20, 25, 25, 20, 23, 25, 21, 19, 23, 19, 24, 
##     25, 19, 22, 25, 22, 18, 17, 23, 24, 30, 22, 22, 23, 29, 19, 
##     22, 30, 22, 24, 22, 17, 21, 20, 17, 22, 18, 20, 21, 20, 24, 
##     17, 21, 12, 15, 21, 21, 16, 26, 22, 19, 23, 24, 23, 24, 20, 
##     20, 18, 24, 20, 27, 24, 19, 21, 20, 19, 12, 18, 18, 19, 17, 
##     15, 21, 17, 23, 30, 25, 28, 22, 18, 21, 24, 19, 16, 23, 19, 
##     20, 21, 14, 11, 18, 15, 12, 13, 18, 11, 11, 14, 14, 19, 15, 
##     16, 10, 16, 15, 14, 18, 11, 22, 25, 23, 15, 20, 24, 20, 22, 
##     19, 22, 14, 14, 15, 8, 11, 15, 14, 16, 16, 18, 19, 16, 17, 
##     22, 29, 28, 23, 28, 26, 29, 28, 29, 39, 29, 28, 35, 29, 36, 
##     48, 46, 52, 52, 51, 46, 43, 42, 40, 35, 29, 30, 32, 30, 37, 
##     41, 45, 48, 65, 80, 78, 77, 76, 88, 87, 90, 91, 86, 87, 95, 
##     88, 91, 92, 89, 89, 66, 65, 58, 43, 38, 34, 27, 22, 23, 20, 
##     18, 8, 12, 10, 10, 3, -3, -1, -3, -2, 10, 8, 8, 7, 7, 24, 
##     18, 19, 21, 21, 27, 34, 58, 76, 87, 82, 89, 80, 91, 89, 86, 
##     83, 91, 92, 95, 101, 98, 106, 106, 108, 105, 104, 102, 96, 
##     90, 97, 83, 88, 80, 69, 69, 58, 60, 60, 38, 40, 27, 20, 6, 
##     -3, 93, 92, 97, 94, 96, 103, 95, 105, 101, 107, 114, 108, 
##     103, 102, 93, 93, 81, 76, 72, 51, 53, 46, 31, 16, 10, 8, 
##     2, -3, 0, -6, -5, -6, -11, -23, -9, 4, 2, 7, 11, 10, 13, 
##     19, 22, 27, 36, 38, 64, 81, 84, 88, 93, 65, 75, 77, 78, 89, 
##     89, 89, 99, 104, 115, 116, 111, 125, 120, 124, 128, 127, 
##     124, 130, 126, 113, 108, 107, 100, 97, 100, 90, 89, 80, 66, 
##     53, 52, 50, 36, 41, 27, 28, 1, -3, -12, -8, -25, -15, -16, 
##     -18, -17, -14, -17, -8, -9, -5, -8, -3, 6, 16, 19, 22, 43, 
##     46, 67, 71, 78, 96, 99, 96, 99, 95, 108, 103, 106, 105, 103, 
##     112, 107, 103, 97, 81, 83, 75, 79, 70, 69, 65, 61, 51, 45, 
##     32, 25, 15, 8, 8, 9, 4, 0, -10, -12, -16, -15, -16, -14, 
##     -12, -6, -6, -5, -4, -7, 12, 10, 16, 22, 21, 16, 29, 40, 
##     45, 57, 64, 71, 73, 79, 88, 91, 106, 101, 106, 108, 110, 
##     110, 108, 106, 107, 96, 89, 83, 75, 71, 43, 42, 32, 29, 19, 
##     9, -5, -10, -22, -32, -37, -49, -52, -43, -48, -46, -40, 
##     -15, -8, 6, 13, 19, 31, 32, 46, 53, 60, 62, 68, 72, 77, 82, 
##     90, 86, 108, 109, 109, 113, 125, 116, 122, 115, 111, 118, 
##     118, 111, 106, 96, 97, 86, 82, 79, 71, 64, 53, 45, 32, 30, 
##     26, 19, 18, -3, 2, -10, -16, -19, -30, -31, -37, -31, -32, 
##     -36, -36, -32, -24, -10, -7, -6, 7, 7, 32, 34, 38, 51, 54, 
##     63, 66, 74, 77, 84, 87, 93, 100, 101, 104, 105, 111, 109, 
##     113, 111, 110, 108, 108, 110, 109, 105, 110, 105, 104, 90, 
##     85, 82, 78, 81, 78, 72, 71, 68, 57, 57, 49, 60, 38, 40, 39, 
##     36, 41, 30, 33, 32, 34, 21, 31, 28, 37, 45, 48, 59, 56, 60, 
##     56, 61, 62, 64, 62, 60, 67, 58, 62, 60, 67, 69, 65, 65, 71, 
##     70, 72, 78, 80, 86, 80, 87, 1, -4, 6, 0, 1, 1, 0, -2, -4, 
##     5, 2, 8, 1, 2, 11, 3, 3, 1, -6, -1, -1, -3, 2, 6, -1, -2, 
##     0, 2, 7, 1, 2, 1, 0, -1, 1, 0, -2, -1, 2, -4, -4, -4, -9, 
##     -6, 0, -1, -8, -3, 0, -4, 5, -1, -4, 4, 5, 1, 5, -1, -3, 
##     0, -4, -2, -4, -4, -3, 0, -2, -7, -4, -6, 0, -7, 1, 1, -3, 
##     0, -3, -1, 4, -1, 4, -2, -1, 4, -1, -5, 2, -3, -4, -6, -2, 
##     1, -2, 3, -6, 1, 0, -1, -4, -4, -4, -3, -7, -9, -1, -1, 5, 
##     -5, 0, -2, -4, -1, -10, 0, 1, -1, 6, 3, -6, -2, -9, -2, -2, 
##     -5, -10, -4, -2, 4, 3, 8, 1, 3, 0, 1, 5, 2, 1, 7, 2, -1, 
##     1, -6, -7, -11, -2, -6, -10, -7, 0, -6, -7, -3, 4, -1, 0, 
##     0, 0, -1, -2, 1, -2, -3, 3, 2, -5, 0, 6, -1, 8, 4, -5, -4, 
##     8, 2, 7, 3, 1, 6, -6, -3, -1, -7, -3, -4, -4, -2, 7, 0, -1, 
##     -3, -5, 4, -8, 1, -7, -1, -3, -8, 0, -5, 0, -7, -2, -4, -7, 
##     -4, -3, -7, -5, -6, -3, 0, -2, -3, 0, -1, -3, -6, 0, -3, 
##     -6, -2, -3, -8, -5, -4, 0, -2, -1, -4, -1, -1, 6, 2, 5, -1, 
##     4, 1, 0, -2, 1, -4, -2, -1, -1, -2, 0, -2, 1, 0, 5, 4, 2, 
##     -3, 4, 0, -3, 3, 1, 5, 7, 3, -3, 1, 1, 2, 1, -2, 3, -2, -3, 
##     2, 1, 3, 3, 3, 2, 11, 5, 1, 0, 8, -1, 0, 3, 1, 52, 44, 42, 
##     42, 48, 49, 48, 51, 45, 44, 45, 44, 52, 47, 49, 52, 56, 56, 
##     57, 53, 53, 48, 56, 53, 51, 50, 46, 49, 53, 51, 49, 52, 45, 
##     55, 52, 60, 47, 44, 52, 48, 56, 56, 58, 56, 58, 48, 49, 55, 
##     52, 54, 48, 50, 52, 48, 48, 48, 42, 46, 48, 51, 46, 47, 49, 
##     48, 49, 48, 49, 49, 45, 48, 48, 47, 54, 49, 46, 49, 49, 49, 
##     52, 64, 53, 52, 55, 56, 53, 59, 51, 56, 51, 52, 50, 54, 50, 
##     53, 47, 53, 51, 56, 61, 57, 58, 53, 56, 60, 57, 57, 57, 56, 
##     64, 62, 58, 53, 53, 50, 52, 54, 47, 53, 52, 56, 53, 57, 58, 
##     54, 57, 43, 48, 45, 50, 45, 39, 40, 43, 50, 43, 55, 48, 52, 
##     53, 50, 56, 53, 49, 54, 49, 51, 60, 51, 57, 53, 51, 50, 46, 
##     39, 46, 45, 52, 45, 53, 49, 49, 50, 46, 49, 49, 47, 51, 52, 
##     51, 43, 47, 51, 49, 51, 56, 51, 55, 53, 57, 51, 50, 48, 48, 
##     52, 49, 46, 46, 46, 55, 49, 54, 51, 51, 56, 52, 49, 55, 48, 
##     47, 48, 49, 51, 52, 43, 54, 54, 54, 49, 51, 53, 56, 52, 59, 
##     47, 49, 49, 55, 53, 43, 52, 49, 53, 47, 48, 49, 46, 50, 43, 
##     49, 53, 50, 47, 43, 49, 45, 45, 50, 56, 52, 51, 50, 51, 59, 
##     52, 56, 52, 57, 60, 57, 51, 47, 54, 48, 48, 44, 48, 40, 40, 
##     46, 48, 51, 50, 49, 45, 48, 56, 48, 50, 49, 44, 49, 50, 49, 
##     54, 53, 60, 51, 47, 46, 54, 43, 49, 49, 43, 49, 48, 47, 51, 
##     46, 50, 49, 48, 50, 50, 47, 47, 47, 50, 49, 53, 50, 47, 52, 
##     41, 37, 42, 38, 43, 40, 45, 40, 45, 42, 44, 41, 46, 38, 44, 
##     50, 44, 49, 46, 45, 44, 41, 42, 47, 53, 44, 52, 40, 40, 46, 
##     39, 46, 43, 44, 44, 47, 41, 44, 49, 46, 45, 46, 41, 41, 39, 
##     41, 48, 39, 42, 45, 46, 42, 47, 48, 44, 60, 46, 48, 49, 49, 
##     41, 49, 48, 49, 40, 48, 45, 43, 36, 41, 41, 38, 35, 42, 40, 
##     42, 36, 37, 40, 33, 35, 43, 38, 38, 38, 40, 41, 37, 37, 44, 
##     42, 51, 51, 55, 51, 46, 44, 43, 43, 42, 40, 39, 41, 43, 38, 
##     40, 44, 37, 39, 38, 46, 43, 46, 42, 36, 35, 39, 37, 41, 40, 
##     42, 38, 36, 48, 40, 37, 161, 161, 163, 162, 164, 161, 158, 
##     159, 167, 167, 166, 163, 167, 164, 161, 166, 163, 161, 163, 
##     164, 163, 159, 165, 161, 155, 160, 163, 155, 163, 164, 163, 
##     162, 161, 159, 158, 159, 159, 164, 164, 163, 167, 160, 164, 
##     160, 160, 160, 167, 158, 167, 164, 162, 159, 164, 165, 162, 
##     164, 162, 163, 164, 159, 165, 165, 158, 158, 169, 160, 163, 
##     161, 162, 164, 159, 157, 157, 169, 162, 161, 161, 158, 161, 
##     162, 161, 167, 160, 160, 167, 159, 165, 159, 157, 163, 162, 
##     163, 163, 162, 166, 158, 165, 168, 165, 156, 170, 171, 162, 
##     161, 164, 162, 164, 165, 162, 163, 164, 159, 157, 161, 166, 
##     165, 159, 163, 165, 167, 159, 166, 159, 165, 164, 162, 165, 
##     161, 157, 160, 160, 162, 160, 161, 157, 156, 164, 158, 156, 
##     166, 159, 167, 162, 163, 160, 160, 165, 165, 166, 168, 159, 
##     164, 162, 164, 165, 161, 163, 156, 165, 171, 160, 166, 161, 
##     161, 164, 161, 161, 157, 155, 160, 166, 158, 159, 163, 159, 
##     163, 166, 167, 162, 166, 159, 159, 160, 158, 162, 160, 162, 
##     157, 164, 158, 164, 166, 160, 157, 159, 171, 163, 171, 157, 
##     156, 160, 158, 162, 158, 160, 160, 151, 164, 166, 163, 160, 
##     152, 162, 157, 159, 161, 163, 166, 160, 170, 161, 161, 163, 
##     165, 162, 164, 162, 163, 157, 159, 160, 161, 159, 161, 163, 
##     158, 165, 159, 162, 158, 156, 162, 161, 153, 159, 164, 161, 
##     160, 157, 160, 161, 158, 157, 162, 158, 164, 164, 164, 159, 
##     161, 163, 154, 165, 167, 155, 165, 165, 156, 164, 165, 162, 
##     160, 154, 162, 155, 160, 163, 156, 161, 163, 158, 159, 162, 
##     154, 159, 156, 158, 161, 164, 159, 164, 162, 158, 159, 158, 
##     164, 159, 157, 159, 157, 161, 163, 174, 176, 178, 183, 180, 
##     180, 179, 175, 175, 177, 172, 174, 174, 174, 177, 178, 185, 
##     188, 188, 190, 194, 191, 189, 173, 176, 176, 172, 178, 177, 
##     176, 181, 183, 180, 183, 184, 181, 186, 187, 193, 183, 177, 
##     172, 157, 160, 153, 151, 151, 146, 149, 149, 155, 145, 149, 
##     145, 146, 156, 159, 164, 164, 162, 169, 168, 164, 170, 172, 
##     158, 166, 162, 163, 164, 159, 155, 169, 159, 159, 161, 162, 
##     167, 163, 165, 165, 162, 162, 163, 164, 159, 161, 165, 159, 
##     155, 157, 165, 164, 160, 164, 169, 166, 165, 164, 164, 165, 
##     158, 161, 158, 158, 159, 157, 164, 164, 166, 162, 167, 163, 
##     165, 166, 160, 162, 163, 166, 167, 162, 169, 168, 155, 165, 
##     166, 163, 164, 161, 163, 164, 167, 166, 166, 163, 162, 161, 
##     160, 162, 163, 163, 159, 165, 159, 160, 158, 165, 166, 159, 
##     160, 167, 162, 163, 163, 163, 163, 161, 159, 160, 168, 159, 
##     161, 160, 164, 171, 163, 165, 161, 161, 156, 159, 163, 165, 
##     162, 160, 156, 162, 159, 156, 160, 154, 165, 160, 164, 159, 
##     159, 161, 159, 155, 156, 158, 163, 159, 157, 163, 165, 164, 
##     166, 165, 163, 165, 160, 158, 160, 167, 160, 156, 159, 162, 
##     159, 154, 161, 164, 28, 28, 30, 31, 34, 27, 32, 26, 28, 24, 
##     24, 22, 25, 19, 30, 29, 29, 40, 35, 34, 27, 26, 27, 28, 31, 
##     32, 28, 41, 43, 42, 39, 40, 41, 40, 37, 34, 42, 33, 32, 28, 
##     31, 27, 32, 28, 24, 26, 30, 32, 20, 27, 25, 30, 24, 25, 15, 
##     19, 13, 20, 17, 17, 23, 28, 24, 18, 25, 31, 27, 22, 31, 23, 
##     19, 24, 17, 18, 19, 21, 20, 22, 14, 19, 23, 26, 19, 18, 26, 
##     15, 22, 21, 28, 17, 22, 18, 20, 16, 20, 18, 25, 20, 17, 20, 
##     16, 18, 19, 19, 17, 18, 28, 24, 20, 30, 22, 21, 26, 26, 27, 
##     28, 26, 28, 32, 25, 23, 24, 25, 23, 29, 22, 26, 21, 18, 20, 
##     20, 21, 15, 21, 22, 11, 17, 14, 15, 16, 16, 17, 20, 19, 21, 
##     18, 22, 24, 18, 31, 20, 23, 23, 27, 26, 21, 27, 18, 25, 23, 
##     25, 15, 24, 22, 18, 27, 23, 18, 19, 21, 23, 19, 17, 18, 21, 
##     22, 19, 17, 23, 21, 26, 20, 27, 29, 24, 23, 20, 11, 18, 24, 
##     16, 17, 20, 17, 30, 23, 23, 15, 22, 19, 22, 19, 22, 19, 19, 
##     18, 20, 22, 19, 24, 25, 19, 18, 21, 19, 18, 29, 23, 19, 23, 
##     30, 22, 28, 25, 24, 25, 28, 24, 20, 25, 24, 23, 28, 23, 18, 
##     23, 23, 21, 19, 26, 26, 21, 23, 16, 25, 21, 27, 22, 21, 19, 
##     24, 24, 18, 20, 29, 19, 21, 23, 25, 22, 23, 27, 33, 27, 25, 
##     23, 32, 26, 28, 27, 24, 29, 28, 21, 23, 25, 28, 24, 22, 22, 
##     21, 18, 16, 19, 22, 19, 12, 16, 16, 16, 20, 10, 17, 23, 21, 
##     23, 26, 16, 20, 21, 20, 25, 25, 20, 16, 25, 28, 25, 24, 28, 
##     24, 26, 27, 16, 23, 28, 28, 25, 38, 26, 36, 28, 29, 30, 27, 
##     27, 34, 30, 29, 28, 29, 24, 17, 24, 29, 26, 18, 33, 24, 26, 
##     36, 37, 39, 37, 34, 31, 39, 41, 38, 34, 38, 34, 39, 41, 39, 
##     40, 41, 39, 42, 34, 38, 40, 40, 41, 40, 67, 58, 58, 60, 53, 
##     58, 51, 50, 56, 50, 56, 48, 51, 49, 53, 51, 50, 46, 49, 53, 
##     48, 57, 61, 59, 58, 49, 51, 46, 53, 58, 52, 49, 50, 52, 49, 
##     52, 50, 48, 40, 49, 56, 53, 52, 51, 49, 48, 50, 54, 48, 53, 
##     55, 57, 49, 63, 60, 60, 53, 59, 59, 59, 56, 57, 64, 56, 60, 
##     56, 55, 54, 32, 16, 25, 12, -14, -14, -17, -14, -10, -8, 
##     -1, -4, -7, -3, 14, 13, 24, 37, 53, 93, 94, 94, 105, 108, 
##     114, 112, 114, 120, 121, 124, 117, 124, 113, 107, 102, 105, 
##     98, 92, 83, 79, 72, 61, 65, 56, 43, 14, 5, 9, -11, -2, -13, 
##     -3, -7, -2, -15, -15, -19, -12, -9, -11, -13, -4, -3, 1, 
##     3, 6, 5, 23, 18, 24, 37, 42, 55, 58, 65, 71, 92, 105, 103, 
##     103, 96, 98, 100, 97, 98, 98, 96, 97, 90, 94, 84, 84, 86, 
##     81, 71, 50, 44, 51, 28, 29, 21, 19, -8, -1, -6, -4, 1, -3, 
##     4, 3, 9, 4, 15, 18, 32, 38, 40, 46, 57, 61, 79, 79, 87, 95, 
##     95, 101, 104, 104, 8, -4, -2, 4, 3, 4, 1, 5, 10, 5, 5, 6, 
##     4, 3, 9, 3, 2, 7, 3, 11, 0, 3, 8, 12, 7, 14, 6, 11, 7, 1, 
##     0, -2, -4, 8, 2, -1, 7, 2, 3, 2, 0, -5, 8, -2, 3, 5, 2, -1, 
##     -1, 9, 12, 3, 3, 8, 3, 11, 3, 3, 5, 7, 3, 5, 5, 7, 7, 9, 
##     8, 8, 7, 6, 12, 8, 2, 8, 10, 16, 5, 8, 15, 13, 14, 5, 12, 
##     7, 5, 10, 3, 6, 1, 10, 2, 10, 0, 5, 3, 6, 4, 5, 4, 5, 6, 
##     1, 5, 3, 2, 3, -4, 2, -2, 2, 2, -3, 0, 6, 6, 3, 3, -1, -1, 
##     -6, -6, -7, -6, -1, -8, -7, -3, -7, -2, -1, -2, -5, 2, 0, 
##     -4, -4, 6, 0, -7, 1, -1, 409, 422, 418, 438, 443, 452, 438, 
##     427, 422, 404, 405, 374, 336, 321, 309, 270, 255, 255, 240, 
##     237, 216, 185, 181, 174, 170, 164, 157, 152, 150, 152, 149, 
##     151, 159, 156, 155, 147, 148, 151, 144, 142, 142, 54, 51, 
##     55, 194, 192, 194, 193, 189, 193, 187, 188, 179, 189, 188, 
##     182, 184, 189, 187, 184, 190, 195, 198, 194, 194, 193, 198, 
##     195, 196, 195, 196, 184, 190, 192, 184, 182, 172, 171, 165, 
##     165, 158, 154, 150, 154, 149, 150, 143, 141, 145, 140, 139, 
##     140, 140, 144, 149, 149, 165, 164, 167, 165, 171, 163, 169, 
##     172, 170, 170, 175, 174, 174, 172, 174, 170, 175, 179, 177, 
##     180, 184, 202, 208, 206, 218, 217, 217, 220, 208, 212, 201, 
##     192, 191, 190, 191, 190, 186, 186, 190, 196, 196, 194, 193, 
##     184, 171, 164, 167, 165, 158, 152, 149, 153, 157, 160, 161, 
##     161, 163, 158, 162, 181, 200, 202, 213, 232, 254, 265, 268, 
##     280, 294, 306, 314, 318, 348, 353, 393, 395, 409, 416, 431, 
##     449, 485, 481, 479, 471, 476, 471, 474, 368, 378, 385, 382, 
##     384, 383, 382, 383, 382, 383, 375, 383, 6, 3, 5, 4, 3, -2, 
##     5, 6, 0, 8, -9, -9, -11, -12, -8, -13, -10, -13, -5, -9, 
##     -12, -14, -12, -10, -8, -10, -8, -14, -15, -11, -9, -9, -15, 
##     -13, -14, -11, -13, -9, -13, -12, -14, -19, -22, -21, -23, 
##     -20, -23, -23, -16, -15, -11, -12, -6, -11, -5, -7, -2, -7, 
##     -6, 3, 3, -5, 3, 1, 6, 3, 8, 7, 10, 10, 0, 2, 2, 2, 0, 0, 
##     5, 6, 2, 4, 3, 13, 10, 8, 5, 6, 5, 3, 1, 3, 2, 6, 4, 12, 
##     11, 7, 13, 15, 12, 14, 16, 5, 6, 10, 4, 3, 4, 1, 2, 0, 3, 
##     8, 2, 3, 1, 5, 11, 9, 7, 5, 7, 13, 10, 11, 14, 23, 19, 12, 
##     24, 17, 22, 18, 16, 15, 13, 11, 11, 13, 8, 5, 9, 9, 11, 19, 
##     9, 7, 9, 8, 18, 24, 24, 19, 22, 26, 21, 18, 26, 16, 19, 16, 
##     12, 10, 12, 5, 3, 4, 1, -2, 0, -7, 18, 12, 22, 14, 16, 23, 
##     19, 15, 21, 15, 19, 19, 16, 10, 12, 7, 9, -4, -4, 7, 3, 6, 
##     8, 12, 15, 14, 13, 11, 19, 9, 11, 10, 9, 10, 17, 13, 16, 
##     18, 17, 15, 20, 15, 15, 16, 11, 15, 18, 15, 15, 13, 20, 11, 
##     24, 13, 16, 19, 9, 8, 1, 5, 1, 1, -2, 0, -5, -2, -1, 0, 2, 
##     0, -2, 6, 8, 7, 9, 14, 15, 10, 18, 13, 17, 13, 12, 12, 19, 
##     16, 15, 19, 20, 2, -2, 7, -2, -2, 2, 2, -4, 7, -2, 1, 4, 
##     2, 11, 10, 2, 6, 11, 11, 5, 11, 10, 9, 10, 7, 8, 14, 10, 
##     13, 11, 17, 16, 17, 6, 15, 16, 19, 19, 25, 23, 29, 24, 30, 
##     23, 25, 25, 24, 23, 23, 23, 20, 9, -2, -8, -10, -10, -12, 
##     -10, -12, -14, -14, -9, -5, -7, 2, 1, 10, 13, 8, 15, 16, 
##     16, 22, 23, 24, 24, 25, 40, 30, 34, 34, 39, 38, 43, 33, 27, 
##     28, 29, 33, 25, 31, 21, 14, 22, 13, 12, 14, 7, -2, -5, -15, 
##     -18, -23, -14, -16, -22, -19, -15, -16, -12, -21, -14, -7, 
##     -8, -6, -6, -7, 1, 4, 3, 0, 4, 3, 11, 4, 7, 2, 14, 13, 11, 
##     15, 13, 10, 20, 22, 26, 25, 23, 29, 33, 25, 25, 28, 24, 28, 
##     22, 16, 16, 16, 11, 14, 9, 5, -1, -2, -8, 0, -9, -12, -13, 
##     -16, -14, -17, -13, -14, -10, -18, -9, -8, -9, -13, -12, 
##     -7, -8, -6, -10, -9, -2, -12, -5, -4, -13, -7, 0, 0, -8, 
##     -2, -3, 4, -4, -4, -7, 1, -4, -8, -1, -5, 8, 1, 1, 0, 5, 
##     -3, 3, 2, 5, 2, 1, 10, 2, 4, -1, 0, 2, 1, 7, 4, 1, 5, 10, 
##     8, 7, 7, 13, 13, 15, 17, 12, 10, 12, 9, 10, 13, 8, 6, 7, 
##     9, 8, 8, 8, 12, 5, 8, 8, 15, 8, 14, 13, 17, 1, 3, 0, -9, 
##     -16, -15, -18, -18, -13, -14, -18, -19, -20, -29, -25, -32, 
##     -35, -32, -41, -45, -42, -27, -21, -11, -9, -5, 5, -2, -6, 
##     -14, -5, -1, -4, 2, 15, 13, 17, 15, 17, 11, 14, 6, 13, 10, 
##     9, 6, -1, -17, -18, -23, -27, -32, -36, -37, -32, -25, -18, 
##     -17, -6, -7, -10, -1, 1, 0, 5, -1, -4, -10, -6, -2, -8, -12, 
##     -5, -4, -3, -2, 3, 6, 3, 8, 9, 11, 8, 11, 6, 10, 5, 11, 13, 
##     11, 8, 12, 6, 11, 7, 1, 1, -8, -16, -19, -15, -26, -20, -11, 
##     -3, 0, -1, 4, 4, 7, 2, 4, 2, 1, 5, 6, 7, 11, 7, 8, 9, 8, 
##     2, 13, 5, 19, 9, 7, 15, 33, 30, 38, 33, 39, 47, 38, 38, 38, 
##     36, 39, 38, 31, 31, 24, 18, 23, 28, 27, 29, 38, 33, 33, 29, 
##     38, 41, 39, 44, 44, 53, 46, 56, 54, 54, 46, 44, 42, 36, 41, 
##     36, 40, 41, 44, 41, 42, 35, 33, 32, 37, 41, 34, 27, 27, 32, 
##     36, 29, 30, 29, 32, 34, 36, 34, 36, 37, 41, 43, 40, 38, 25, 
##     20, 13, 12, 15, 10, 11, 10, 14, 12, 16, 22, 12, 17, 17, 30, 
##     23, 32, 29, 36, 40, 41, 38, 42, 42, 46, 46, 40, 38, 41, 46, 
##     39, 32, 36, 32, 33, 37, 37, 30, 33, 31, 35, 35, 32, 37, 30, 
##     25, 32, 31, 31, 34, 35, 39, 36, 40, 36, 36, 35, 38, 36, 33, 
##     35, 32, 29, 30, 33, 33, 36, 34, 34, 38, 41, 35, 37, 35, 43, 
##     48, 44, 47, 41, 44, 47, 44, 46, 56, 53, 52, 48, 56, 54, 55, 
##     53, 56, 53, 42, 54, 48, 50, 51, 53, 47, 51, 38, 44, 40, 40, 
##     29, 37, 34, 27, 29, 28, 28, 20, 22, 18, 21, 23, 25, 26, 26, 
##     29, 32, 26, 32, 27, 31, 29, 26, 27, 34, 30, 30, 34, 24, 33, 
##     37, 29, 30, 30, 28, 28, 26, 30, 28, 27, 34, 43, 38, 44, 43, 
##     47, 48, 42, 43, 40, 46, 44, 44, 43, 46, 44, 50, 48, 46, 48, 
##     45, 45, 40, 39, 36, 32, 26, 26, 20, 24, 25, 17, 20, 22, 18, 
##     26, 22, 21, 22, 24, 34, 27, 33, 39, 43, 39, 33, 38, 49, 45, 
##     43, 36, 31, 31, 22, 19, 24, 18, 21, 21, 22, 28, 30, 31, 35, 
##     38, 39, 39, 38, 40, 41, 43, 47, 43, 45, 46, 42, 42, 37, 40, 
##     40, 42, 35, 34, 28, 28, 28, 23, 25, 24, 24, 34, 35, 41, 43, 
##     38, 40, 41, 43, 31, 31, 42, 38, 44, 43, 39, 36, 31, 30, 26, 
##     25, 23, 22, 25, 24, 30, 16, 16, 18, 23, 13, 26, 27, 29, 31, 
##     36, 42, 47, 47, 45, 44, 36, 32, 29, 29, 35, 32, 27, 26, 28, 
##     34, 31, 24, 32, 31, 28, 40, 29, 32, 36, 31, 25, 24, 19, 23, 
##     17, 14, 13, 15, 11, 15, 10, 10, 7, 10, 9, 21, 12, 20, 20, 
##     19, 18, 20, 16, 20, 22, 18, 17, 19, 21, 20, 21, 14, 19, 17, 
##     14, 26, 40, 40, 40, 41, 38, 34, 43, 41, 40, 47, 43, 46, 41, 
##     37, 44, 42, 45, 41, 41, 46, 49, 54, 63, 60, 59, 56, 54, 53, 
##     51, 51, 44, 39, 41, 40, 42, 37, 40, 44, 42, 39, 38, 41, 43, 
##     46, 52, 43, 49, 57, 54, 45, 51, 52, 54, 51, 48, 45, 43, 44, 
##     43, 43, 41, 38, 36, 40, 34, 38, 39, 38, 39, 35, 32, 34, 25, 
##     23, 26, 22, 26, 22, 25, 28, 29, 32, 36, 36, 34, 35, 33, 36, 
##     28, 39, 29, 43, 37, 32, 38, 32, 34, 34, 27, 19, 21, 27, 15, 
##     12, 7, 10, 12, 11, 9, 15, 18, 11, 14, 7, 10, 5, 7, 11, 9, 
##     8, 7, 16, 16, 21, 27, 28, 27, 33, 32, 30, 37, 37, 29, 27, 
##     24, 17, 22, 18, 26, 26, 28, 24, 37, 35, 31, 40, 40, 38, 29, 
##     39, 35, 32, 31, 27, 32, 25, 36, 33, 28, 32, 25, 25, 20, 6, 
##     2, 3, 2, 8, 2, 6, 9, 5, 12, 7, 11, 24, 30, 35, 36, 38, 39, 
##     43, 41, 36, 36, 40, 39, 40, 33, 35, 30, 28, 27, 21, 29, 27, 
##     21, 23, 30, 18, 22, 36, 32, 32, 31, 36, 37, 42, 40, 42, 55, 
##     40, 49, 52, 59, 65, 59, 67, 67, 64, 71, 64, 63, 69, 68, 77, 
##     73, 81, 79, 88, 82, 83, 83, 81, 75, 81, 80, 65, 71, 68, 66, 
##     69, 74, 74, 70, 65, 58, 57, 70, 65, 78, 83, 86, 80, 76, 80, 
##     83, 86, 79, 76, 80, 73, 71, 74, 77, 80, 76, 78, 82, 85, 80, 
##     84, 85, 82, 83, 88, 81, 91, 88, 97, 98, 103, 102, 104, 101, 
##     102, 104, 103, 106, 82, 83, 83, 86, 86, 82, 78, 86, 88, 75, 
##     73, 74, 69, 74, 73, 77, 74, 77, 72, 72, 70, 74, 73, 74, 75, 
##     68, 68, 70, 63, 65, 62, 69, 66, 70, 66, 60, 70, 68, 70, 72, 
##     75, 66, 66, 63, 72, 68, 64, 62, 64, 56, 73, 62, 61, 62, 66, 
##     61, 65, 57, 63, 57, 55, 53, 50, 49, 51, 53, 50, 50, 49, 58, 
##     59, 51, 55, 52, 58, 50, 53, 54, 54, 50, 49, 52, 56, 46, 53, 
##     49, 51, 51, 41, 45, 47, 43, 37, 38, 31, 42, 38, 41, 49, 45, 
##     38, 45, 41, 41, 39, 54, 47, 47, 47, 46, 44, 38, 40, 39, 36, 
##     34, 38, 35, 40, 47, 42, 45, 43, 40, 46, 49, 47, 51, 44, 45, 
##     50, 46, 41, 41, 41, 35, 35, 26, 33, 37, 38, 34, 42, 45, 43, 
##     37, 41, 55, 39, 39, 40, 41, 37, 39, 40, 36, 39, 34, 32, 40, 
##     31, 35, 32, 34, 42, 44, 40, 41, 43, 51, 41, 44, 38, 43, 35, 
##     39, 38, 35, 37, 38, 37, 42, 39, 44, 46, 44, 44, 41, 48, 53, 
##     43, 55, 46, 47, 53, 46, 45, 48, 46, 46, 45, 44, 47, 49, 38, 
##     47, 46, 48, 50, 43, 45, 46, 41, 41, 34, 38, 38, 37, 38, 31, 
##     34, 44, 45, 40, 46, 49, 51, 48, 48, 45, 47, 47, 50, 48, 45, 
##     45, 40, 38, 39, 50, 47, 52, 45, 44, 48, 44, 52, 55, 54, 51, 
##     48, 43, 49, 48, 46, 41, 40, 40, 40, 40, 35, 40, 35, 40, 40, 
##     40, 48, 39, 42, 43, 38, 41, 35, 39, 39, 39, 41, 43, 49, 45, 
##     52, 41, 42, 37, 39, 38, 40, 37, 39, 32, 36, 37, 37, 38, 39, 
##     41, 39, 40, 42, 47, 48, 43, 44, 41, 47, 45, 40, 40, 43, 40, 
##     38, 44, 42, 44, 46, 44, 52, 53, 58, 52, 53, 50, 57, 45, 55, 
##     53, 54, 55, 55, 46, 52, 46, 51, 40, 40, 41, 42, 39, 32, 32, 
##     35, 31, 35, 25, 27, 26, 30, 39, 30, 32, 30, 24, 28, 32, 27, 
##     30, 31, 33, 29, 35, 26, 31, 30, 34, 31, 38, 30, 35, 28, 33, 
##     38, 39, 32, 38, 34, 33, 34, 38, 34, 33, 37, 33, 34, 40, 35, 
##     33, 39, 39, 32, 36, 38, 30, 29, 39, 35, 34, 35, 41, 33, 32, 
##     37, 36, 38, 36, 38, 35, 37, 68, 70, 76, 85, 76, 80, 84, 89, 
##     105, 122, 143, 157, 159, 170, 188, 200, 210, 230, 268, 288, 
##     328, 346, 39, 36, 42, 44, 43, 37, 46, 41, 41, 42, 42, 43, 
##     35, 47, 43, 46, 40, 47, 35, 45, 43, 48, 44, 41, 45, 41, 47, 
##     40, 37, 43, 45, 46, 36, 47, 40, 38, 37, 48, 50, 50, 52, 49, 
##     50, 55, 48, 55, 60, 65, 61, 66, 61, 80, 82, 87, 84, 97, 98, 
##     99, 103, 94, 90, 88, 88, 84, 59, 25, 20, 9, 0, -1, 1, -3, 
##     -9, 1, 8, 5, 14, 20, 29, 36, 35, 43, 48, 62, 70, 88, 91, 
##     90, 99, 92, 100, 104, 111, 104, 108, 116, 109, 107, 108, 
##     101, 104, 92, 90, 66, 48, 36, 30, 27, 17, 22, 9, 5, 10, 13, 
##     11, 21, 19, 23, 27, 30, 39, 50, 62, 70, 84, 92, 97, 94, 93, 
##     89, 100, 87, 94, 99, 95, 103, 98, 97, 94, 90, 79, 57, 45, 
##     39, 33, 29, 26, 27, 34, 33, 28, 34, 31, 35, 39, 43, 54, 52, 
##     58, 60, 70, 86, 93, 96, 89, 91, 110, 112, 119, 118, 121, 
##     108, 103, 97, 90, 75, 67, 62, 50, 50, 36, 32, 36, 41, 41, 
##     47, 46, 46, 54, 56, 54, 64, 58, 67, 87, 102, 104, 103, 105, 
##     111, 112, 112, 112, 115, 111, 83, 84, 59, 52, 48, 46, 36, 
##     38, 38, 42, 42, 36, 37, 40, 47, 45, 43, 46, 46, 49, 56, 64, 
##     59, 52, 67, 68, 78, 81, 91, 94, 107, 103, 105, 104, 101, 
##     119, 121, 114, 119, 115, 124, 123, 119, 119, 119, 107, 99, 
##     75, 72, 70, 56, 52, 50, 42, 29, 38, 33, 32, 29, 30, 34, 35, 
##     41, 41, 42, 43, 49, 61, 66, 75, 74, 87, 92, 98, 97, 103, 
##     100, 107, 107, 115, 116, 120, 111, 108, 105, 103, 87, 93, 
##     83, 71, 71, 66, 51, 34, 40, 43, 37, 38, 35, 43, 45, 38, 25, 
##     16, 21, 24, 28, 29, 27, 32, 50, 52, 53, 59, 70, 74, 80, 71, 
##     76, 79, 89, 96, 92, 99, 94, 87, 75, 75, 68, 58, 37, 34, 35, 
##     26, 28, 33, 28, 27, 27, 52, 48, 44, 39, 32, 40, 37, 42, 43, 
##     42, 48, 48, 45, 44, 38, 46, 40, 41, 45, 39, 47, 42, 48, 46, 
##     46, 48, 45, 46, 48, 41, 46, 44, 43, 44, 45, 47, 44, 47, 42, 
##     46, 50, 48, 46, 45, 48, 41, 50, 43, 44, 45, 51, 58, 52, 51, 
##     54, 54, 54, 50, 51, 194, 194, 191, 191, 196, 191, 192, 193, 
##     191, 192, 190, 183, 187, 177, 175, 167, 171, 171, 165, 167, 
##     163, 166, 163, 160, 162, 160, 158, 157, 158, 147, 155, 147, 
##     147, 149, 145, 143, 144, 149, 144, 148, 151, 160, 157, 159, 
##     161, 163, 169, 176, 172, 175, 176, 170, 174, 176, 176, 173, 
##     169, 161, 174, 166, 164, 170, 166, 162, 170, 168, 174, 166, 
##     166, 173, 166, 172, 175, 178, 180, 189, 187, 189, 186, 186, 
##     179, 185, 183, 181, 184, 173, 169, 165, 159, 152, 149, 154, 
##     144, 142, 134, 135, 135, 130, 129, 134, 133, 125, 129, 127, 
##     130, 140, 145, 147, 149, 152, 158, 174, 174, 169, 171, 166, 
##     172, 173, 171, 164, 175, 167, 172, 181, 173, 171, 175, 178, 
##     174, 185, 182, 177, 183, 188, 185, 184, 187, 184, 190, 184, 
##     181, 179, 180, 187, 183, 186, 183, 180, 164, 159, 158, 153, 
##     152, 143, 143, 143, 142, 140, 136, 143, 141, 140, 145, 144, 
##     147, 150, 154, 162, 164, 172, 163, 170, 173, 179, 173, 175, 
##     163, 173, 168, 168, 169, 169, 167, 175, 170, 175, 180, 172, 
##     181, 182, 183, 179, 186, 182, 190, 185, 185, 190, 179, 176, 
##     167, 172, 171, 172, 169, 169, 167, 166, 157, 151, 157, 155, 
##     148, 143, 134, 134, 134, 130, 131, 132, 127, 130, 132, 128, 
##     134, 138, 129, 150, 151, 151, 164, 166, 177, 174, 173, 173, 
##     180, 174, 171, 174, 171, 164, 167, 165, 174, 162, 167, 165, 
##     156, 158, 153, 151, 153, 146, 144, 140, 147, 146, 147, 149, 
##     150, 158, 163, 162, 158, 156, 157, 160, 168, 171, 175, 177, 
##     175, 175, 169, 175, 175, 176, 172, 174, 179, 177, 182, 176, 
##     176, 185, 191, 189, 187, 183, 181, 184, 184, 182, 173, 175, 
##     177, 173, 173, 172, 174, 169, 167, 169, 173, 167, 166, 161, 
##     162, 161, 160, 161, 151, 157, 160, 158, 159, 152, 150, 154, 
##     162, 169, 168, 174, 179, 188, 183, 183, 183, 184, 183, 182, 
##     175, 181, 176, 170, 181, 173, 168, 167, 167, 155, 159, 153, 
##     151, 146, 151, 146, 156, 151, 154, 156, 157, 158, 161, 165, 
##     174, 177, 170, 173, 172, 175, 177, 176, 182, 175, 173, 177, 
##     176, 175, 173, 167, 173, 172, 176, 172, 174, 173, 172, 176, 
##     172, 181, 182, 184, 182, 176, 174, 170, 174, 173, 170, 167, 
##     170, 169, 165, 160, 159, 160, 148, 152, 149, 137, 145, 140, 
##     145, 143, 148, 148, 149, 153, 156, 157, 160, 164, 170, 172, 
##     175, 175, 171, 174, 170, 182, 190, 195, 198, 196, 195, 198, 
##     204, 198, 196, 206, 190, 198, 199, 201, 194, 177, 180, 168, 
##     174, 176, 171, 174, 183, 187, 191, 182, 181, 185, 185, 185, 
##     183, 187, 184, 190, 188, 189, 187, 198, 190, 192, 186, 188, 
##     191, 184, 182, 185, 179, 185, 187, 184, 176, 185, 186, 183, 
##     183, 187, 191, 189, 191, 186, 192, 190, 190, 192, 189, 192, 
##     182, 176, 176, 178, 179, 180, 174, 171, 173, 178, 168, 177, 
##     181, 181, 183, 180, 188, 180, 179, 172, 171, 11, 8, 5, 0, 
##     -5, -7, -9, -15, -18, -17, -11, -9, -16, -8, -12, -8, -5, 
##     -4, -9, -8, -5, -3, -1, 3, 7, 13, 6, 10, 6, 0, -8, -3, -3, 
##     9, 6, 14, 12, 15, 13, 10, 6, -7, -14, -8, -12, -11, -7, -2, 
##     -8, 1, 1, 3, 5, 10, 10, -1, 3, 3, -1, -2, -3, -6, -11, 4, 
##     -3, -4, -5, 0, 6, 11, 12, 16, 20, 16, 17, 12, 10, 15, 5, 
##     15, 19, 17, 15, 18, 25, 20, 20, 9, 4, 13, 0, 3, 1, -4, 15, 
##     12, 19, 19, 13, 16, 12, 16, 15, 6, 13, 9, 3, -1, 1, -3, -10, 
##     -12, -12, -10, -9, -5, -6, -10, -7, -2, 2, 1, -2, 4, 3, 2, 
##     8, 13, 19, 15, 26, 21, 13, 7, 4, 5, 0, 4, 1, 9, 11, 13, 11, 
##     13, 17, 18, 22, 11, 14, 8, 13, 6, -4, -16, -15, -17, -11, 
##     2, 8, -3, -1, 7, 9, 10, 16, 21, 25, 33, 43, 47, 41, 44, 42, 
##     36, 33, 33, 30, 17, 18, 15, 13, 2, -1, 0, -4, -3, 18, 20, 
##     23, 25, 23, 20, 16, -3, -5, -9, -19, -9, -15, -12, -15, -9, 
##     1, 17, 12, 16, 17, 18, 18, 18, 22, 18, 22, 12, 11, 14, 11, 
##     10, 13, 7, 14, 4, 9, 8, 5, 7, 0, 9, 3, 3, 2, 11, 1, 9, 1, 
##     -1, 2, 3, 8, 2, -2, 8, 5, 55, 51, 44, 42, 43, 36, 36, 43, 
##     37, 35, 35, 42, 39, 32, 41, 37, 34, 32, 35, 37, 40, 38, 35, 
##     37, 42, 41, 43, 39, 44, 47, 47, 43, 45, 48, 49, 54, 49, 50, 
##     45, 54, 50, 52, 53, 51, 52, 50, 54, 53, 55, 48, 55, 58, 51, 
##     50, 28, 34, 23, 31, 29, 32, 29, 24, 27, 28, 31, 24, 36, 33, 
##     38, 38, 40, 41, 43, 36, 40, 43, 37, 44, 38, 39, 44, 40, 41, 
##     42, 45, 44, 39, 41, 41, 39, 43, 48, 46, 41, 39, 43, 34, 36, 
##     44, 35, 42, 44, 48, 61, 74, 86, 87, 88, 88, 91, 91, 95, 102, 
##     100, 105, 106, 102, 92, 96, 99, 91, 86, 45, 45, 49, 71, 75, 
##     80, 86, 82, 82, 78, 77, 84, 85, 87, 93, 89, 90, 96, 100, 
##     102, 96, 83, 79, 61, 49, 53, 45, 46, 50, 46, 42, 47, 47, 
##     47, 50, 48, 51, 43, 45, 49, 48, 51, 50, 51, 52, 54, 50, 48, 
##     56, 51, 55, 53, 55, 54, 61, 33, 38, 30, 34, 32, 38, 32, 40, 
##     42, 38, 36, 34, 36, 33, 39, 41, 32, 44, 43, 48, 54, 67, 39, 
##     39, 41, 46, 47, 49, 48, 42, 47, 44, 41, 33, 37, 38, 42, 45, 
##     46, 43, 47, 45, 41, 43, 47, 40, 49, 47, 49, 53, 52, 44, 48, 
##     48, 51, 44, 43, 46, 39, 40, 41, 36, 48, 43, 43, 39, 39, 41, 
##     46, 48, 47, 47, 8, 1, 9, 17, 24, 20, 26, 25, 27, 28, 27, 
##     26, 24, 25, 25, 25, 24, 24, 31, 19, 15, 21, 21, 20, 21, 19, 
##     24, 19, 16, 17, -9, -2, 3, 2, 3, 5, 6, 8, 2, 0, 4, 6, 2, 
##     -18, -7, -13, -12, -12, -10, -15, -11, -2, -6, 1, 0, 6, 1, 
##     3, 9, 13, 13, 11, 13, 10, 7, 1, -16, -5, -9, -10, -8, -2, 
##     1, 6, -2, 4, 2, 11, 12, 4, 9, 6, 10, 7, 6, 1, -3, -11, -7, 
##     -7, -18, -12, -12, -12, -5, -10, -3, 0, 0, -2, 3, 7, 1, 10, 
##     14, 16, 12, 19, 13, 17, 20, 14, 10, 9, 11, 11, 2, 8, 3, -5, 
##     -2, 0, 7, 9, 12, 15, 17, 18, 19, 25, 20, 27, 28, 29, 26, 
##     23, 20, 22, 17, 13, 12, 5, 12, 4, 8, 0, -9, 1, -1, -7, -12, 
##     -7, -16, -20, -20, -24, -24, -24, -25, -18, -24, -25, -17, 
##     -19, -16, -9, -9, -8, 4, 0, 0, 3, 12, 5, 5, 9, 29, 22, 25, 
##     24, 29, 29, 29, 24, 24, 25, 24, 22, 19, 23, 14, 14, 8, 9, 
##     1, 6, 1, -1, 3, 6, 11, 2, 7, 4, 6, 4, 8, 16, 11, 17, 23, 
##     18, 15, 25, 18, 16, 22, 18, 18, 13, 19, 15, 15, 15, 18, 15, 
##     464, 449, 440, 438, 422, 401, 405, 389, 370, 368, 359, 369, 
##     174, 171, 173, 170, 183, 178, 178, 184, 191, 190, 192, 191, 
##     190, 194), magnet_belt_y = c(599, 608, 600, 604, 600, 603, 
##     599, 603, 602, 609, 596, 602, 606, 598, 597, 592, 598, 600, 
##     603, 604, 607, 604, 606, 601, 605, 601, 597, 599, 606, 593, 
##     601, 603, 602, 604, 600, 603, 606, 604, 601, 596, 600, 606, 
##     602, 599, 603, 602, 601, 593, 597, 597, 604, 601, 605, 599, 
##     599, 596, 597, 598, 598, 600, 599, 606, 603, 609, 605, 599, 
##     598, 601, 595, 601, 597, 605, 602, 604, 606, 602, 598, 608, 
##     602, 604, 600, 597, 602, 597, 602, 607, 605, 601, 601, 600, 
##     608, 601, 599, 605, 598, 604, 606, 606, 598, 601, 598, 602, 
##     605, 606, 599, 596, 605, 605, 606, 599, 607, 604, 606, 598, 
##     600, 607, 603, 604, 599, 598, 612, 603, 606, 606, 605, 605, 
##     602, 605, 604, 598, 601, 603, 603, 603, 596, 610, 601, 605, 
##     598, 600, 607, 605, 605, 606, 603, 604, 601, 620, 602, 608, 
##     605, 601, 612, 606, 604, 615, 608, 606, 603, 610, 608, 606, 
##     603, 609, 612, 559, 565, 555, 566, 567, 560, 559, 561, 568, 
##     564, 555, 564, 566, 568, 564, 567, 566, 565, 568, 567, 561, 
##     567, 565, 568, 565, 569, 570, 563, 564, 567, 567, 567, 565, 
##     563, 567, 565, 564, 564, 569, 563, 563, 564, 569, 565, 567, 
##     573, 560, 569, 572, 571, 567, 569, 571, 567, 569, 567, 568, 
##     564, 567, 574, 564, 564, 562, 571, 570, 570, 567, 570, 567, 
##     569, 571, 569, 567, 569, 563, 566, 565, 568, 563, 573, 563, 
##     565, 567, 568, 567, 569, 569, 567, 567, 572, 583, 580, 570, 
##     578, 570, 572, 574, 566, 567, 577, 570, 566, 575, 570, 568, 
##     571, 570, 565, 565, 570, 572, 565, 572, 576, 570, 566, 573, 
##     574, 574, 575, 576, 569, 580, 576, 571, 574, 581, 572, 575, 
##     573, 578, 571, 571, 576, 569, 577, 576, 571, 570, 582, 578, 
##     571, 579, 567, 577, 577, 568, 584, 578, 580, 582, 579, 585, 
##     582, 579, 580, 574, 579, 576, 583, 575, 580, 577, 574, 580, 
##     577, 577, 581, 582, 578, 583, 581, 578, 574, 587, 582, 577, 
##     584, 580, 580, 577, 577, 575, 577, 581, 581, 577, 581, 575, 
##     576, 576, 575, 582, 582, 584, 577, 577, 577, 579, 580, 576, 
##     570, 579, 573, 582, 579, 583, 580, 579, 581, 585, 586, 582, 
##     579, 582, 580, 577, 582, 582, 583, 586, 584, 572, 584, 579, 
##     579, 580, 578, 575, 575, 578, 576, 580, 575, 575, 570, 581, 
##     582, 584, 583, 577, 581, 579, 578, 586, 583, 579, 585, 586, 
##     575, 583, 582, 583, 588, 578, 584, 584, 584, 581, 583, 586, 
##     580, 582, 573, 576, 583, 570, 582, 579, 582, 579, 578, 582, 
##     580, 584, 582, 579, 583, 581, 583, 579, 577, 585, 577, 582, 
##     578, 583, 580, 583, 577, 585, 578, 584, 580, 587, 578, 576, 
##     582, 581, 577, 586, 587, 580, 581, 581, 587, 578, 581, 586, 
##     580, 587, 580, 583, 576, 584, 581, 579, 582, 576, 584, 576, 
##     576, 583, 587, 585, 580, 589, 581, 581, 579, 582, 584, 580, 
##     581, 577, 586, 579, 572, 580, 582, 581, 589, 587, 580, 584, 
##     579, 576, 578, 579, 583, 587, 581, 580, 576, 579, 577, 575, 
##     577, 580, 584, 581, 586, 577, 581, 582, 576, 578, 581, 579, 
##     582, 581, 577, 581, 580, 583, 579, 583, 581, 585, 586, 583, 
##     584, 576, 585, 585, 582, 583, 582, 589, 584, 582, 590, 585, 
##     586, 589, 584, 584, 592, 584, 591, 582, 580, 577, 582, 581, 
##     584, 586, 586, 586, 582, 587, 584, 586, 585, 582, 581, 583, 
##     585, 583, 582, 583, 583, 586, 585, 586, 586, 583, 583, 579, 
##     575, 582, 584, 581, 582, 584, 582, 583, 582, 587, 586, 578, 
##     585, 584, 583, 583, 584, 582, 588, 591, 588, 586, 584, 587, 
##     582, 586, 587, 583, 579, 577, 583, 584, 581, 583, 581, 588, 
##     585, 583, 584, 580, 580, 586, 585, 581, 584, 583, 586, 582, 
##     581, 583, 585, 579, 582, 579, 582, 575, 584, 585, 580, 581, 
##     582, 582, 588, 585, 591, 585, 583, 583, 585, 584, 583, 584, 
##     575, 576, 580, 575, 578, 575, 577, 575, 579, 575, 581, 579, 
##     575, 582, 574, 575, 581, 577, 575, 574, 583, 571, 574, 579, 
##     572, 573, 575, 584, 582, 588, 589, 588, 590, 579, 584, 587, 
##     583, 582, 582, 587, 587, 587, 594, 583, 590, 584, 584, 583, 
##     582, 582, 582, 584, 578, 582, 588, 576, 580, 582, 584, 579, 
##     578, 582, 583, 580, 583, 571, 579, 581, 582, 582, 580, 583, 
##     582, 581, 585, 595, 584, 592, 584, 590, 591, 584, 593, 582, 
##     584, 590, 584, 586, 580, 584, 583, 585, 589, 580, 586, 584, 
##     587, 578, 592, 586, 596, 587, 587, 589, 591, 592, 585, 591, 
##     587, 592, 589, 586, 592, 587, 590, 594, 587, 591, 592, 587, 
##     591, 593, 593, 593, 589, 589, 590, 595, 595, 596, 595, 598, 
##     598, 588, 593, 596, 598, 597, 596, 596, 595, 593, 596, 594, 
##     600, 597, 594, 596, 589, 591, 600, 593, 595, 592, 596, 594, 
##     593, 598, 594, 599, 588, 592, 591, 593, 592, 599, 593, 595, 
##     595, 596, 592, 596, 599, 590, 599, 594, 596, 595, 594, 593, 
##     595, 593, 598, 591, 599, 596, 600, 598, 599, 602, 595, 599, 
##     601, 601, 589, 595, 598, 606, 597, 590, 602, 592, 596, 598, 
##     600, 599, 593, 600, 605, 599, 601, 597, 601, 598, 601, 600, 
##     599, 598, 601, 600, 605, 604, 602, 606, 603, 598, 604, 603, 
##     601, 600, 599, 606, 604, 601, 602, 599, 602, 592, 601, 600, 
##     598, 595, 601, 602, 598, 606, 603, 604, 602, 599, 610, 605, 
##     606, 604, 606, 607, 611, 601, 601, 599, 603, 603, 602, 601, 
##     601, 607, 604, 601, 607, 606, 599, 602, 601, 598, 598, 599, 
##     598, 598, 606, 602, 606, 604, 604, 602, 599, 603, 604, 604, 
##     605, 605, 605, 612, 610, 602, 605, 612, 607, 606, 604, 604, 
##     610, 603, 606, 596, 592, 586, 589, 591, 595, 594, 583, 587, 
##     587, 591, 590, 588, 590, 591, 593, 588, 590, 603, 612, 608, 
##     602, 605, 602, 602, 605, 607, 608, 602, 607, 609, 608, 608, 
##     608, 607, 605, 608, 604, 602, 605, 605, 601, 600, 610, 600, 
##     598, 601, 596, 604, 606, 602, 598, 601, 599, 601, 597, 594, 
##     600, 596, 599, 599, 595, 596, 591, 587, 598, 588, 599, 590, 
##     597, 584, 587, 589, 588, 596, 591, 600, 593, 596, 594, 597, 
##     588, 597, 595, 598, 596, 603, 604, 599, 607, 603, 602, 606, 
##     604, 602, 607, 601, 601, 614, 602, 601, 594, 598, 606, 598, 
##     601, 604, 606, 608, 604, 603, 609, 610, 608, 606, 613, 612, 
##     606, 606, 620, 614, 615, 614, 624, 616, 618, 621, 610, 618, 
##     614, 615, 616, 616, 614, 617, 616, 612, 612, 609, 610, 615, 
##     612, 614, 618, 608, 614, 615, 613, 609, 612, 612, 615, 613, 
##     614, 608, 615, 612, 611, 615, 609, 611, 608, 616, 613, 614, 
##     613, 614, 610, 614, 612, 609, 614, 610, 613, 612, 610, 613, 
##     613, 612, 607, 602, 618, 610, 612, 610, 608, 610, 610, 609, 
##     611, 607, 613, 612, 621, 615, 610, 606, 605, 602, 612, 618, 
##     608, 610, 616, 610, 601, 610, 607, 610, 607, 612, 616, 612, 
##     613, 607, 608, 606, 598, 615, 614, 610, 611, 608, 614, 616, 
##     618, 613, 611, 613, 609, 607, 608, 614, 607, 609, 612, 612, 
##     607, 609, 610, 610, 617, 614, 610, 614, 609, 607, 606, 611, 
##     613, 609, 612, 611, 607, 609, 607, 607, 605, 610, 608, 613, 
##     609, 607, 609, 610, 611, 606, 607, 612, 615, 605, 611, 608, 
##     613, 609, 612, 616, 609, 608, 606, 602, 612, 607, 610, 614, 
##     607, 617, 612, 613, 613, 612, 607, 612, 610, 608, 609, 609, 
##     609, 614, 612, 609, 612, 607, 610, 615, 609, 610, 604, 610, 
##     605, 610, 611, 602, 611, 607, 611, 614, 615, 612, 615, 606, 
##     612, 607, 609, 610, 607, 615, 609, 614, 611, 611, 614, 621, 
##     605, 618, 615, 612, 614, 613, 607, 612, 611, 615, 619, 611, 
##     608, 612, 612, 611, 613, 606, 614, 610, 612, 607, 612, 608, 
##     609, 608, 610, 607, 613, 606, 611, 609, 610, 614, 611, 615, 
##     607, 608, 606, 605, 606, 619, 607, 609, 609, 597, 609, 604, 
##     603, 609, 607, 617, 610, 614, 606, 605, 607, 603, 606, 608, 
##     610, 613, 613, 613, 608, 610, 611, 606, 614, 616, 607, 608, 
##     616, 615, 613, 606, 611, 616, 609, 604, 610, 607, 615, 610, 
##     615, 616, 616, 614, 601, 611, 613, 612, 613, 614, 609, 614, 
##     612, 612, 610, 598, 611, 612, 613, 608, 605, 603, 610, 611, 
##     616, 612, 607, 612, 613, 604, 606, 607, 609, 608, 601, 609, 
##     610, 611, 611, 606, 611, 607, 606, 605, 607, 602, 614, 607, 
##     606, 607, 606, 615, 612, 601, 610, 608, 609, 606, 609, 603, 
##     608, 609, 604, 608, 608, 611, 612, 610, 611, 613, 607, 605, 
##     608, 609, 606, 604, 610, 606, 604, 610, 614, 609, 610, 606, 
##     603, 608, 611, 611, 608, 601, 606, 607, 607, 606, 613, 613, 
##     606, 612, 611, 607, 613, 607, 606, 606, 611, 603, 607, 606, 
##     609, 601, 607, 612, 613, 608, 602, 611, 610, 609, 612, 612, 
##     613, 606, 607, 603, 610, 610, 610, 611, 611, 607, 607, 613, 
##     603, 609, 611, 610, 607, 608, 599, 598, 603, 606, 604, 606, 
##     612, 604, 607, 614, 610, 607, 607, 611, 610, 604, 605, 610, 
##     606, 609, 600, 603, 609, 602, 607, 604, 607, 606, 600, 610, 
##     612, 606, 606, 609, 607, 607, 601, 612, 608, 608, 608, 608, 
##     606, 608, 606, 612, 605, 612, 610, 614, 609, 609, 609, 611, 
##     613, 604, 613, 611, 613, 608, 610, 614, 609, 605, 606, 606, 
##     606, 602, 609, 609, 601, 611, 607, 607, 611, 606, 614, 607, 
##     613, 615, 608, 611, 611, 606, 612, 603, 609, 601, 602, 611, 
##     613, 610, 616, 606, 613, 613, 581, 569, 578, 579, 575, 582, 
##     579, 581, 583, 580, 583, 576, 581, 575, 575, 578, 581, 587, 
##     577, 577, 572, 578, 579, 571, 568, 571, 578, 573, 574, 573, 
##     575, 574, 569, 578, 572, 571, 579, 576, 570, 578, 575, 575, 
##     584, 578, 578, 577, 578, 573, 570, 578, 580, 579, 575, 572, 
##     579, 577, 577, 570, 579, 572, 576, 570, 574, 576, 571, 578, 
##     575, 574, 574, 569, 580, 574, 572, 572, 573, 573, 576, 583, 
##     575, 573, 576, 573, 574, 572, 574, 579, 570, 567, 574, 572, 
##     573, 568, 570, 579, 569, 575, 570, 578, 576, 569, 567, 576, 
##     570, 573, 565, 567, 571, 566, 568, 576, 560, 566, 573, 581, 
##     582, 579, 577, 580, 575, 577, 571, 572, 569, 568, 579, 568, 
##     576, 570, 575, 570, 566, 567, 566, 563, 567, 566, 571, 564, 
##     571, 559, 572, 576, 571, 570, 569, 574, 568, 568, 574, 579, 
##     569, 566, 577, 578, 569, 569, 579, 575, 567, 568, 568, 573, 
##     567, 565, 567, 574, 573, 563, 571, 566, 573, 573, 565, 564, 
##     573, 564, 565, 571, 577, 569, 571, 565, 573, 575, 581, 576, 
##     574, 574, 576, 575, 575, 569, 578, 575, 577, 574, 578, 573, 
##     575, 568, 565, 572, 567, 574, 576, 577, 574, 572, 567, 574, 
##     569, 573, 570, 572, 570, 569, 571, 581, 571, 569, 575, 576, 
##     579, 574, 577, 580, 578, 584, 575, 580, 573, 583, 575, 578, 
##     575, 581, 581, 573, 575, 574, 570, 571, 575, 567, 566, 570, 
##     568, 566, 571, 572, 568, 570, 577, 568, 577, 579, 572, 570, 
##     577, 574, 580, 570, 574, 570, 574, 572, 575, 569, 572, 569, 
##     575, 569, 570, 574, 578, 582, 576, 583, 577, 580, 577, 580, 
##     580, 574, 574, 575, 565, 567, 570, 563, 568, 572, 564, 566, 
##     576, 564, 569, 571, 574, 575, 575, 576, 577, 582, 579, 580, 
##     574, 577, 571, 569, 574, 569, 567, 572, 574, 576, 570, 568, 
##     570, 573, 576, 568, 575, 570, 571, 569, 575, 568, 568, 568, 
##     575, 569, 570, 561, 570, 571, 569, 572, 570, 567, 570, 566, 
##     573, 575, 571, 575, 574, 569, 575, 574, 577, 571, 572, 567, 
##     566, 572, 569, 571, 573, 563, 572, 569, 562, 567, 567, 567, 
##     575, 561, 572, 567, 567, 565, 570, 560, 570, 574, 570, 575, 
##     566, 576, 565, 569, 576, 581, 575, 575, 574, 572, 578, 570, 
##     575, 570, 571, 574, 570, 575, 571, 567, 575, 574, 571, 567, 
##     578, 574, 575, 568, 573, 572, 572, 574, 577, 564, 576, 578, 
##     583, 579, 567, 569, 581, 573, 574, 568, 568, 574, 568, 565, 
##     571, 568, 566, 570, 566, 565, 570, 566, 567, 569, 572, 569, 
##     575, 563, 570, 570, 573, 570, 576, 577, 576, 571, 573, 572, 
##     579, 574, 576, 577, 572, 576, 575, 571, 570, 571, 568, 576, 
##     581, 570, 570, 570, 568, 574, 571, 578, 575, 572, 574, 575, 
##     571, 574, 572, 573, 570, 571, 568, 565, 568, 570, 574, 572, 
##     571, 566, 569, 567, 571, 571, 575, 571, 571, 567, 574, 575, 
##     572, 569, 572, 571, 579, 576, 570, 574, 570, 570, 568, 574, 
##     566, 573, 572, 568, 566, 574, 576, 571, 570, 569, 574, 567, 
##     575, 566, 563, 574, 571, 567, 567, 564, 565, 565, 562, 565, 
##     571, 573, 569, 570, 569, 569, 567, 564, 565, 564, 562, 570, 
##     566, 561, 561, 563, 559, 563, 566, 554, 563, 567, 566, 560, 
##     565, 564, 563, 574, 568, 572, 571, 575, 572, 570, 577, 566, 
##     569, 561, 567, 562, 559, 563, 569, 566, 557, 564, 565, 561, 
##     560, 564, 564, 561, 568, 566, 567, 566, 567, 564, 573, 563, 
##     573, 563, 569, 566, 566, 571, 639, 638, 629, 640, 638, 638, 
##     631, 630, 631, 634, 635, 639, 634, 637, 635, 638, 637, 631, 
##     632, 636, 637, 634, 637, 633, 630, 631, 635, 639, 638, 630, 
##     635, 631, 632, 630, 635, 639, 640, 636, 632, 636, 634, 637, 
##     630, 636, 637, 630, 634, 638, 635, 642, 632, 633, 637, 629, 
##     639, 627, 637, 632, 633, 635, 638, 631, 631, 633, 631, 630, 
##     639, 637, 630, 630, 634, 642, 637, 639, 639, 638, 637, 637, 
##     633, 637, 632, 633, 635, 636, 633, 636, 635, 637, 636, 638, 
##     629, 633, 632, 636, 630, 632, 630, 637, 629, 628, 631, 630, 
##     634, 634, 627, 636, 636, 632, 632, 634, 629, 633, 634, 632, 
##     628, 627, 631, 628, 628, 624, 634, 632, 630, 623, 636, 633, 
##     632, 631, 635, 633, 632, 633, 634, 637, 631, 634, 633, 634, 
##     632, 634, 632, 631, 635, 632, 635, 632, 632, 634, 628, 637, 
##     636, 639, 630, 639, 632, 628, 631, 632, 634, 634, 640, 636, 
##     638, 634, 632, 635, 638, 638, 635, 637, 630, 635, 633, 631, 
##     632, 636, 636, 635, 629, 631, 639, 631, 633, 628, 633, 634, 
##     636, 636, 641, 641, 636, 633, 630, 638, 636, 636, 637, 637, 
##     633, 634, 639, 635, 634, 641, 637, 634, 633, 635, 634, 629, 
##     636, 634, 638, 640, 628, 632, 633, 633, 644, 638, 636, 633, 
##     634, 644, 635, 632, 637, 639, 630, 631, 633, 634, 632, 630, 
##     631, 631, 634, 633, 634, 634, 639, 631, 633, 637, 633, 632, 
##     632, 634, 633, 630, 637, 632, 633, 635, 637, 633, 638, 630, 
##     643, 635, 638, 635, 637, 633, 633, 634, 636, 632, 637, 636, 
##     638, 632, 642, 634, 635, 638, 635, 629, 638, 640, 640, 633, 
##     636, 633, 635, 640, 642, 633, 637, 639, 635, 627, 637, 635, 
##     632, 642, 637, 636, 638, 637, 642, 639, 633, 639, 641, 633, 
##     634, 630, 635, 634, 634, 631, 632, 633, 632, 635, 636, 635, 
##     632, 634, 634, 632, 638, 638, 638, 632, 630, 633, 638, 640, 
##     634, 631, 634, 635, 633, 639, 633, 636, 643, 633, 636, 637, 
##     631, 640, 634, 631, 641, 635, 635, 628, 638, 636, 639, 637, 
##     609, 608, 609, 610, 613, 609, 611, 606, 606, 605, 608, 607, 
##     598, 609, 599, 604, 602, 600, 604, 600, 605, 608, 605, 609, 
##     607, 604, 605, 605, 608, 601, 607, 607, 606, 605, 603, 608, 
##     609, 607, 601, 603, 605, 608, 611, 606, 607, 605, 608, 607, 
##     601, 601, 611, 609, 612, 610, 605, 610, 606, 611, 608, 608, 
##     606, 611, 611, 604, 608, 608, 606, 609, 608, 602, 612, 605, 
##     605, 604, 608, 601, 601, 601, 601, 608, 601, 599, 607, 597, 
##     604, 600, 607, 606, 605, 606, 601, 595, 598, 603, 607, 608, 
##     602, 602, 603, 604, 601, 603, 597, 605, 604, 597, 602, 603, 
##     607, 612, 601, 602, 606, 599, 609, 600, 604, 606, 607, 597, 
##     600, 603, 599, 603, 603, 601, 607, 606, 601, 605, 600, 606, 
##     600, 601, 597, 601, 601, 598, 607, 606, 606, 604, 601, 600, 
##     612, 600, 607, 608, 607, 602, 600, 597, 602, 598, 602, 607, 
##     600, 609, 604, 604, 599, 608, 603, 605, 611, 602, 598, 606, 
##     603, 603, 603, 602, 605, 599, 601, 602, 600, 608, 604, 600, 
##     608, 604, 600, 596, 597, 599, 598, 601, 605, 603, 601, 605, 
##     601, 602, 600, 605, 603, 602, 602, 603, 606, 600, 604, 606, 
##     612, 607, 604, 597, 601, 604, 597, 600, 604, 603, 603, 596, 
##     602, 602, 592, 596, 601, 609, 603, 594, 606, 607, 598, 598, 
##     601, 610, 605, 607, 605, 601, 607, 603, 601, 607, 605, 613, 
##     602, 601, 611, 601, 609, 605, 606, 605, 610, 605, 602, 608, 
##     605, 602, 605, 604, 602, 604, 603, 603, 600, 606, 603, 602, 
##     600, 604, 599, 604, 605, 605, 599, 606, 601, 608, 597, 601, 
##     600, 600, 607, 609, 608, 599, 602, 604, 602, 613, 604, 600, 
##     602, 607, 603, 604, 607, 607, 601, 607, 607, 601, 601, 609, 
##     605, 605, 603, 613, 605, 604, 606, 609, 602, 609, 606, 606, 
##     604, 601, 607, 604, 602, 603, 609, 604, 606, 602, 602, 598, 
##     609, 607, 607, 599, 600, 605, 600, 601, 599, 602, 604, 604, 
##     613, 604, 605, 602, 601, 606, 611, 600, 602, 601, 604, 609, 
##     601, 601, 600, 605, 604, 609, 608, 608, 606, 603, 603, 611, 
##     607, 606, 603, 606, 611, 604, 604, 605, 601, 603, 602, 602, 
##     608, 610, 607, 610, 605, 604, 612, 606, 607, 603, 603, 607, 
##     604, 607, 604, 612, 605, 604, 604, 602, 601, 602, 601, 607, 
##     608, 607, 606, 601, 600, 610, 598, 606, 603, 604, 602, 611, 
##     605, 607, 608, 606, 610, 616, 609, 605, 605, 612, 603, 605, 
##     608, 610, 610, 606, 606, 607, 602, 607, 607, 605, 601, 604, 
##     608, 608, 603, 606, 603, 607, 602, 607, 603, 603, 606, 607, 
##     608, 607, 596, 601, 608, 611, 609, 608, 607, 603, 604, 611, 
##     608, 598, 606, 608, 607, 601, 602, 605, 604, 601, 605, 608, 
##     606, 602, 611, 605, 605, 609, 607, 600, 600, 600, 601, 609, 
##     606, 607, 607, 608, 605, 600, 613, 604, 600, 604, 608, 610, 
##     606, 613, 610, 605, 605, 612, 608, 606, 603, 606, 609, 607, 
##     608, 608, 600, 607, 602, 599, 602, 602, 603, 606, 603, 611, 
##     610, 601, 599, 604, 598, 603, 602, 598, 605, 598, 607, 615, 
##     606, 609, 608, 603, 605, 606, 606, 604, 607, 598, 600, 603, 
##     608, 600, 604, 606, 607, 603, 607, 604, 606, 611, 608, 599, 
##     607, 600, 603, 602, 600, 607, 600, 600, 611, 608, 604, 611, 
##     611, 605, 609, 608, 610, 612, 606, 614, 609, 606, 614, 600, 
##     615, 612, 609, 609, 602, 608, 603, 609, 611, 606, 598, 607, 
##     605, 611, 609, 605, 610, 611, 611, 604, 606, 606, 606, 609, 
##     617, 607, 606, 605, 606, 596, 603, 611, 603, 605, 616, 604, 
##     612, 612, 611, 605, 611, 612, 605, 606, 610, 611, 605, 609, 
##     612, 608, 603, 603, 611, 608, 607, 603, 611, 605, 610, 604, 
##     608, 606, 633, 634, 636, 636, 633, 634, 640, 639, 633, 631, 
##     638, 632, 635, 632, 633, 630, 635, 638, 637, 631, 633, 641, 
##     639, 646, 644, 634, 639, 638, 634, 637, 636, 636, 637, 638, 
##     631, 636, 636, 640, 643, 636, 631, 635, 635, 641, 632, 636, 
##     637, 639, 632, 642, 639, 639, 637, 638, 639, 632, 632, 640, 
##     638, 639, 633, 638, 631, 632, 636, 634, 638, 643, 641, 639, 
##     638, 637, 635, 636, 640, 634, 638, 641, 634, 639, 640, 633, 
##     636, 634, 635, 635, 633, 638, 637, 631, 636, 633, 635, 632, 
##     643, 634, 635, 642, 640, 635, 636, 638, 632, 636, 643, 635, 
##     639, 645, 640, 633, 637, 638, 639, 639, 639, 634, 636, 634, 
##     637, 638, 632, 631, 633, 637, 636, 642, 636, 635, 639, 632, 
##     633, 636, 636, 646, 629, 640, 639, 639, 642, 638, 639, 637, 
##     635, 635, 635, 641, 642, 631, 639, 645, 642, 642, 639, 631, 
##     642, 630, 642, 645, 645, 645, 642, 633, 636, 633, 641, 632, 
##     632, 632, 636, 636, 637, 635, 629, 634, 635, 629, 632, 639, 
##     635, 632, 632, 635, 638, 637, 633, 634, 638, 641, 638, 634, 
##     637, 633, 638, 637, 634, 633, 632, 635, 632, 630, 637, 635, 
##     635, 633, 630, 624, 634, 639, 630, 633, 631, 630, 628, 632, 
##     631, 629, 633, 633, 629, 631, 629, 634, 632, 637, 630, 633, 
##     635, 634, 630, 633, 626, 639, 634, 633, 631, 628, 632, 631, 
##     631, 630, 631, 629, 631, 635, 629, 631, 630, 629, 629, 632, 
##     633, 634, 623, 628, 624, 628, 631, 634, 627, 632, 627, 631, 
##     624, 628, 632, 632, 625, 628, 629, 625, 631, 625, 634, 632, 
##     631, 633, 627, 631, 626, 628, 628, 633, 635, 634, 631, 629, 
##     631, 631, 623, 632, 627, 626, 626, 624, 630, 631, 625, 625, 
##     633, 630, 630, 634, 627, 631, 629, 630, 625, 623, 628, 625, 
##     629, 625, 626, 635, 630, 627, 633, 628, 630, 631, 624, 629, 
##     633, 637, 628, 631, 626, 625, 638, 632, 632, 626, 630, 631, 
##     632, 635, 629, 622, 633, 628, 625, 628, 621, 632, 624, 627, 
##     632, 624, 621, 626, 633, 631, 629, 629, 632, 628, 628, 627, 
##     633, 626, 623, 631, 629, 621, 623, 624, 626, 623, 636, 628, 
##     631, 629, 633, 623, 630, 623, 628, 632, 629, 632, 637, 631, 
##     631, 627, 629, 631, 626, 628, 618, 624, 633, 624, 631, 624, 
##     628, 626, 626, 632, 634, 622, 623, 628, 634, 620, 623, 624, 
##     623, 624, 623, 623, 631, 629, 628, 626, 621, 630, 624, 631, 
##     630, 627, 617, 626, 630, 631, 631, 633, 631, 629, 630, 632, 
##     626, 631, 624, 627, 620, 633, 615, 620, 624, 629, 623, 626, 
##     626, 634, 629, 635, 624, 625, 627, 629, 619, 617, 625, 629, 
##     628, 629, 628, 618, 622, 628, 628, 624, 624, 631, 632, 628, 
##     634, 629, 631, 632, 632, 632, 630, 624, 638, 626, 623, 628, 
##     628, 628, 625, 626, 628, 631, 634, 632, 632, 628, 636, 633, 
##     629, 625, 629, 618, 631, 630, 623, 620, 625, 625, 629, 623, 
##     627, 625, 624, 626, 630, 628, 630, 627, 637, 629, 629, 635, 
##     635, 634, 635, 631, 638, 633, 627, 635, 631, 631, 625, 637, 
##     626, 633, 626, 628, 619, 631, 639, 625, 634, 632, 632, 634, 
##     632, 634, 631, 627, 631, 632, 633, 630, 634, 632, 632, 623, 
##     631, 635, 633, 632, 634, 637, 636, 638, 634, 632, 636, 638, 
##     637, 641, 636, 639, 641, 645, 636, 644, 645, 644, 633, 639, 
##     641, 644, 637, 634, 634, 642, 631, 636, 635, 633, 634, 635, 
##     626, 633, 639, 639, 637, 634, 634, 633, 631, 634, 635, 635, 
##     633, 638, 631, 631, 632, 630, 630, 635, 635, 639, 631, 634, 
##     632, 630, 630, 632, 631, 632, 634, 631, 633, 633, 638, 629, 
##     631, 633, 634, 638, 640, 632, 636, 633, 641, 632, 631, 632, 
##     631, 631, 637, 624, 631, 630, 627, 627, 630, 628, 626, 632, 
##     631, 630, 634, 630, 630, 630, 631, 627, 630, 633, 634, 629, 
##     634, 628, 629, 635, 636, 631, 623, 634, 630, 632, 639, 643, 
##     638, 636, 634, 638, 632, 636, 629, 632, 628, 627, 628, 627, 
##     628, 628, 624, 632, 629, 635, 628, 628, 628, 626, 635, 625, 
##     630, 635, 628, 629, 626, 630, 632, 631, 633, 628, 633, 633, 
##     624, 631, 626, 627, 628, 630, 625, 624, 632, 623, 632, 629, 
##     632, 629, 635, 631, 630, 630, 630, 629, 633, 630, 632, 631, 
##     636, 631, 629, 628, 628, 625, 633, 627, 632, 630, 631, 634, 
##     627, 637, 626, 631, 623, 628, 637, 631, 635, 630, 628, 632, 
##     633, 630, 631, 628, 635, 632, 623, 626, 629, 628, 636, 630, 
##     634, 633, 637, 632, 630, 576, 576, 578, 582, 580, 584, 576, 
##     578, 579, 576, 571, 576, 581, 572, 574, 575, 575, 576, 576, 
##     568, 575, 575, 577, 580, 576, 578, 570, 575, 575, 574, 575, 
##     571, 566, 575, 580, 578, 581, 582, 581, 586, 578, 576, 578, 
##     583, 575, 583, 577, 579, 580, 571, 580, 582, 579, 576, 609, 
##     613, 611, 612, 609, 605, 607, 609, 607, 610, 604, 604, 608, 
##     613, 613, 604, 607, 607, 619, 613, 607, 611, 608, 612, 600, 
##     611, 603, 610, 600, 616, 601, 602, 607, 608, 608, 611, 606, 
##     606, 610, 606, 606, 605, 607, 609, 611, 607, 599, 609, 604, 
##     614, 613, 606, 607, 602, 610, 609, 610, 602, 612, 610, 610, 
##     606, 607, 612, 608, 611, 607, 603, 611, 606, 615, 613, 613, 
##     613, 611, 606, 613, 614, 611, 610, 610, 613, 609, 614, 616, 
##     614, 621, 614, 608, 612, 612, 613, 614, 610, 613, 614, 609, 
##     615, 601, 615, 616, 608, 610, 617, 611, 611, 609, 613, 612, 
##     610, 613, 603, 616, 609, 610, 614, 605, 611, 612, 611, 609, 
##     613, 612, 604, 618, 607, 609, 616, 607, 606, 609, 613, 611, 
##     608, 613, 612, 613, 609, 606, 611, 612, 612, 600, 605, 614, 
##     610, 611, 619, 616, 610, 611, 613, 610, 613, 614, 611, 616, 
##     609, 586, 587, 583, 593, 584, 585, 589, 581, 589, 580, 586, 
##     587, 584, 589, 586, 590, 579, 588, 585, 583, 594, 591, 575, 
##     580, 586, 590, 582, 584, 586, 582, 610, 615, 618, 607, 609, 
##     615, 607, 596, 602, 602, 601, 596, 599, 599, 601, 595, 598, 
##     612, 601, 602, 593, 606, 605, 600, 610, 605, 595, 606, 599, 
##     612, 602, 602, 603, 600, 601, 605, 603, 605, 607, 611, 605, 
##     609, 597, 607, 609, 601, 611, 601, 612, 605, 603, 607, 609, 
##     603, 600, 601, 594, 587, 590, 590, 587, 592, 596, 598, 600, 
##     598, 600, 597, 600, 596, 602, 602, 604, 607, 601, 602, 602, 
##     596, 601, 602, 600, 601, 602, 600, 601, 603, 600, 607, 604, 
##     606, 601, 599, 606, 602, 605, 608, 611, 605, 610, 600, 608, 
##     602, 607, 605, 603, 609, 610, 617, 608, 612, 613, 612, 613, 
##     609, 612, 614, 614, 620, 611, 615, 606, 612, 606, 602, 609, 
##     604, 604, 608, 603, 615, 606, 608, 605, 611, 602, 609, 613, 
##     613, 608, 612, 610, 607, 606, 604, 609, 604, 604, 599, 609, 
##     608, 609, 612, 602, 602, 601, 606, 606, 609, 607, 603, 607, 
##     605, 598, 603, 609, 605, 600, 601, 600, 608, 598, 594, 599, 
##     600, 602, 597, 595, 606, 601, 602, 611, 606, 604, 606, 609, 
##     606, 602, 605, 604, 607, 607, 610, 602, 605, 605, 605, 601, 
##     606, 599, 599, 599, 601, 603, 598, 600, 604, 602, 597, 607, 
##     600, 608, 602, 608, 601, 607, 607, 604, 606, 604, 604, 609, 
##     601, 605, 603, 598, 609, 607, 601, 597, 602, 600, 603, 606, 
##     602, 608, 601, 603, 604, 598, 602, 607, 607, 600, 605, 609, 
##     606, 607, 611, 602, 611, 599, 599, 609, 603, 602, 602, 613, 
##     611, 604, 611, 602, 601, 605, 603, 602, 599, 606, 601, 607, 
##     606, 600, 610, 605, 604, 607, 599, 600, 600, 604, 599, 598, 
##     598, 604, 607, 601, 600, 599, 603, 607, 607, 600, 600, 606, 
##     607, 606, 606, 603, 606, 609, 607, 602, 604, 602, 605, 609, 
##     600, 607, 601, 601, 599, 602, 597, 600, 601, 591, 605, 604, 
##     599, 599, 597, 601, 602, 604, 603, 607, 603, 601, 600, 599, 
##     605, 601, 604, 600, 597, 600, 610, 599, 607, 606, 597, 602, 
##     596, 603, 602, 600, 600, 602, 605, 603, 596, 597, 599, 596, 
##     601, 598, 602, 602, 601, 602, 603, 602, 597, 606, 606, 600, 
##     603, 598, 605, 603, 602, 600, 605, 603, 602, 604, 598, 593, 
##     604, 599, 599, 607, 597, 602, 601, 603, 602, 606, 603, 604, 
##     594, 598, 603, 599, 595, 601, 600, 594, 601, 603, 595, 595, 
##     597, 600, 594, 599, 598, 595, 599, 593, 600, 600, 593, 597, 
##     599, 602, 605, 593, 601, 597, 608, 600, 602, 603, 600, 600, 
##     602, 602, 599, 599, 604, 602, 599, 596, 600, 606, 601, 597, 
##     602, 606, 598, 597, 599, 603, 599, 600, 595, 593, 598, 588, 
##     595, 595, 601, 593, 592, 602, 603, 598, 599, 604, 597, 598, 
##     603, 604, 601, 602, 591, 595, 596, 596, 596, 597, 598, 594, 
##     604, 597, 599, 596, 588, 596, 596, 596, 595, 596, 596, 601, 
##     591, 597, 595, 598, 599, 602, 597, 600, 603, 599, 599, 602, 
##     602, 598, 600, 600, 600, 603, 597, 600, 597, 598, 601, 599, 
##     595, 600, 598, 598, 601, 604, 600, 599, 594, 601, 602, 600, 
##     599, 606, 602, 605, 602, 608, 599, 604, 602, 603, 605, 599, 
##     597, 604, 600, 600, 603, 600, 607, 605, 607, 606, 603, 607, 
##     604, 602, 605, 609, 609, 602, 606, 609, 611, 610, 608, 605, 
##     607, 611, 615, 614, 607, 608, 612, 612, 616, 611, 608, 604, 
##     612, 614, 612, 605, 608, 615, 607, 605, 609, 610, 607, 609, 
##     607, 607, 601, 599, 600, 603, 605, 601, 608, 602, 602, 601, 
##     600, 605, 600, 597, 604, 597, 612, 606, 602, 602, 596, 599, 
##     600, 607, 604, 597, 606, 604, 609, 603, 606, 601, 600, 604, 
##     597, 600, 601, 603, 596, 599, 601, 602, 605, 603, 599, 605, 
##     600, 595, 597, 602, 601, 601, 596, 599, 609, 594, 599, 606, 
##     602, 600, 600, 600, 599, 599, 598, 596, 595, 598, 594, 596, 
##     603, 600, 599, 599, 599, 602, 595, 599, 605, 605, 596, 603, 
##     600, 597, 597, 605, 597, 602, 593, 600, 596, 597, 601, 602, 
##     601, 601, 601, 605, 609, 598, 601, 598, 601, 597, 600, 602, 
##     599, 603, 600, 602, 600, 601, 594, 611, 600, 601, 599, 604, 
##     600, 605, 611, 604, 603, 604, 603, 603, 612, 612, 605, 606, 
##     601, 601, 615, 611, 615, 611, 615, 611, 607, 613, 615, 603, 
##     614, 611, 614, 612, 604, 601, 607, 610, 607, 611, 603, 603, 
##     608, 611, 613, 614, 602, 607, 608, 603, 607, 615, 609, 607, 
##     606, 610, 616, 602, 605, 608, 610, 607, 603, 605, 607, 605, 
##     609, 605, 610, 602, 601, 606, 607, 605, 605, 607, 605, 602, 
##     608, 608, 609, 611, 606, 601, 611, 602, 612, 600, 605, 606, 
##     606, 609, 600, 604, 603, 605, 606, 606, 611, 596, 601, 605, 
##     605, 597, 605, 600, 599, 602, 603, 601, 600, 606, 608, 604, 
##     602, 606, 608, 602, 609, 603, 601, 603, 606, 602, 597, 612, 
##     604, 599, 597, 595, 601, 598, 599, 596, 598, 597, 599, 603, 
##     600, 603, 600, 599, 597, 597, 595, 596, 595, 603, 598, 597, 
##     603, 591, 604, 594, 597, 603, 594, 600, 606, 599, 601, 596, 
##     605, 604, 602, 593, 606, 599, 603, 598, 601, 605, 603, 604, 
##     598, 600, 599, 610, 610, 607, 602, 603, 602, 601, 607, 606, 
##     599, 601, 608, 602, 600, 608, 609, 614, 611, 600, 606, 608, 
##     601, 605, 608, 609, 608, 606, 606, 600, 601, 609, 602, 611, 
##     610, 606, 597, 603, 604, 602, 596, 601, 600, 611, 609, 613, 
##     603, 604, 613, 618, 613, 609, 612, 611, 612, 613, 614, 609, 
##     602, 607, 582, 579, 583, 584, 577, 589, 588, 588, 582, 596, 
##     588, 591, 598, 602, 607, 611, 609, 610, 634, 630, 632, 630, 
##     630, 635, 633, 637, 627, 632, 634, 633, 628, 635, 631, 632, 
##     631, 637, 639, 625, 638, 639, 637, 633, 634, 640, 634, 634, 
##     634, 639, 633, 642, 634, 634, 631, 633, 632, 632, 635, 629, 
##     630, 638, 633, 636, 630, 631, 638, 639, 635, 637, 633, 632, 
##     576, 567, 568, 573, 573, 577, 572, 575, 572, 570, 573, 570, 
##     580, 572, 571, 572, 574, 572, 578, 586, 566, 572, 576, 570, 
##     573, 574, 566, 566, 567, 567, 570, 566, 566, 566, 570, 578, 
##     570, 573, 570, 570, 582, 575, 578, 574, 582, 575, 573, 578, 
##     577, 570, 569, 569, 569, 576, 571, 570, 563, 573, 581, 579, 
##     571, 566, 575, 579, 576, 573, 571, 575, 572, 574, 567, 572, 
##     573, 570, 573, 580, 574, 574, 569, 567, 570, 569, 568, 574, 
##     570, 571, 573, 565, 570, 572, 576, 574, 576, 572, 576, 570, 
##     568, 565, 567, 575, 569, 566, 571, 578, 568, 579, 576, 579, 
##     578, 579, 582, 578, 568, 574, 573, 572, 569, 574, 581, 570, 
##     570, 581, 575, 573, 581, 578, 574, 579, 580, 583, 577, 580, 
##     579, 575, 583, 583, 575, 573, 579, 575, 575, 579, 581, 577, 
##     574, 576, 584, 580, 578, 578, 579, 580, 586, 579, 583, 592, 
##     587, 583, 584, 583, 581, 581, 584, 586, 578, 575, 581, 575, 
##     575, 580, 576, 577, 571, 575, 579, 577, 581, 578, 579, 580, 
##     580, 578, 576, 579, 575, 576, 579, 578, 575, 581, 576, 573, 
##     582, 582, 582, 575, 580, 581, 587, 579, 580, 581, 581, 581, 
##     585, 580, 581, 576, 583, 573, 574, 582, 581, 584, 591, 583, 
##     592, 586, 591, 580, 575, 586, 589, 587, 585, 584, 585, 583, 
##     590, 590, 580, 586, 584, 586, 589, 585, 580, 582, 578, 580, 
##     581, 585, 586, 583, 584, 586, 588, 587, 587, 585, 583, 585, 
##     584, 584, 580, 578, 584, 587, 585, 587, 594, 579, 581, 581, 
##     587, 580, 580, 581, 583, 576, 582, 583, 580, 588, 581, 580, 
##     582, 577, 583, 581, 578, 582, 581, 583, 581, 578, 582, 577, 
##     583, 580, 581, 580, 582, 582, 576, 581, 582, 581, 584, 579, 
##     579, 577, 581, 583, 574, 575, 584, 583, 583, 581, 575, 582, 
##     576, 581, 577, 579, 583, 581, 579, 581, 574, 565, 567, 596, 
##     603, 601, 601, 602, 603, 606, 600, 604, 607, 601, 602, 610, 
##     607, 607, 606, 605, 605, 605, 612, 610, 611, 609, 607, 612, 
##     614, 606, 608, 607, 603, 610, 576, 582, 581, 583, 582, 572, 
##     575, 584, 577, 575, 574, 575, 578, 573, 576, 576, 580, 577, 
##     581, 578, 582, 583, 581, 583, 575, 580, 576, 580, 579, 579, 
##     580, 580, 576, 580, 584, 577, 578, 578, 574, 582, 579, 581, 
##     584, 582, 583, 583, 582, 579, 585, 582, 586, 584, 586, 585, 
##     584, 578, 582, 583, 582, 580, 583, 586, 579, 587, 581, 580, 
##     578, 583, 582, 581, 587, 587, 585, 588, 586, 588, 582, 590, 
##     586, 583, 582, 585, 587, 585, 584, 585, 587, 589, 583, 583, 
##     582, 580, 584, 583, 582, 576, 579, 584, 586, 577, 584, 582, 
##     588, 583, 579, 580, 581, 582, 585, 582, 586, 585, 582, 584, 
##     576, 584, 584, 580, 580, 575, 577, 584, 585, 581, 583, 580, 
##     588, 591, 586, 583, 578, 585, 585, 584, 589, 591, 584, 592, 
##     592, 587, 588, 589, 590, 583, 586, 592, 589, 589, 582, 577, 
##     577, 587, 583, 577, 577, 587, 582, 588, 578, 586, 585, 579, 
##     585, 584, 577, 588, 583, 582, 578, 582, 586, 581, 581, 582, 
##     576, 582, 584, 581, 587, 599, 597, 595, 587, 588, 595, 594, 
##     593, 587, 593, 588, 590, 596, 585, 591, 597, 590, 587, 593, 
##     586, 590, 587, 585, 594, 590, 585, 586, 582, 583, 593, 587, 
##     592, 595, 580, 580, 591, 585, 586, 579, 581, 583, 582, 583, 
##     580, 581, 587, 582, 588, 584, 579, 588, 586, 589, 589, 582, 
##     594, 590, 587, 589, 590, 588, 591, 594, 586, 594, 584, 590, 
##     585, 590, 595, 588, 590, 588, 580, 585, 583, 585, 587, 593, 
##     591, 591, 592, 583, 590, 587, 585, 594, 585, 585, 584, 585, 
##     581, 590, 587, 583, 593, 590, 585, 583, 582, 581, 582, 583, 
##     586, 582, 593, 587, 584, 587, 588, 579, 582, 585, 586, 590, 
##     582, 584, 585, 580, 579, 576, 584, 586, 580, 585, 584, 587, 
##     589, 593, 589, 586, 591, 586, 591, 590, 591, 588, 589, 585, 
##     590, 594, 587, 591, 586, 593, 592, 586, 591, 581, 585, 588, 
##     592, 588, 586, 594, 585, 591, 591, 592, 590, 589, 597, 588, 
##     583, 584, 589, 583, 585, 584, 586, 588, 583, 588, 585, 590, 
##     588, 592, 585, 582, 584, 576, 584, 587, 583, 591, 581, 582, 
##     589, 586, 580, 586, 583, 585, 578, 582, 587, 585, 595, 584, 
##     581, 584, 596, 591, 592, 594, 593, 596, 597, 597, 593, 585, 
##     589, 584, 585, 591, 589, 583, 583, 591, 582, 591, 581, 587, 
##     585, 587, 587, 591, 592, 584, 582, 589, 589, 587, 584, 586, 
##     577, 578, 572, 582, 578, 580, 584, 583, 582, 581, 586, 584, 
##     589, 583, 591, 587, 589, 590, 588, 582, 588, 589, 584, 587, 
##     580, 584, 577, 606, 565, 565, 570, 567, 566, 557, 567, 570, 
##     567, 571, 561, 563, 566, 564, 565, 561, 571, 573, 574, 568, 
##     570, 567, 564, 574, 567, 568, 561, 566, 566, 563, 563, 569, 
##     563, 562, 557, 561, 562, 555, 554, 565, 559, 562, 567, 565, 
##     558, 565, 571, 573, 561, 568, 560, 566, 564, 572, 565, 572, 
##     568, 564, 569, 576, 571, 572, 571, 576, 574, 569, 571, 567, 
##     567, 560, 566, 565, 566, 559, 568, 567, 572, 561, 562, 563, 
##     563, 564, 568, 562, 567, 566, 560, 569, 568, 563, 563, 571, 
##     565, 559, 572, 562, 569, 568, 569, 570, 568, 572, 570, 562, 
##     566, 565, 565, 560, 567, 558, 560, 563, 559, 562, 556, 560, 
##     559, 562, 559, 561, 563, 568, 561, 563, 567, 562, 559, 556, 
##     562, 562, 564, 564, 563, 556, 560, 570, 567, 563, 565, 558, 
##     564, 565, 566, 565, 565, 572, 568, 569, 566, 566, 567, 566, 
##     566, 569, 567, 570, 567, 566, 567, 563, 559, 567, 565, 567, 
##     554, 568, 564, 561, 567, 562, 561, 560, 558, 568, 567, 574, 
##     575, 568, 574, 563, 583, 570, 576, 577, 572, 577, 577, 575, 
##     574, 568, 564, 568, 566, 562, 563, 569, 562, 566, 562, 565, 
##     564, 563, 565, 564, 560, 568, 567, 567, 569, 567, 567, 565, 
##     566, 565, 567, 561, 565, 566, 566, 563, 568, 568, 569, 567, 
##     566, 570, 567, 568, 573, 574, 575, 571, 572, 566, 561, 565, 
##     566, 565, 570, 574, 563, 564, 566, 556, 563, 557, 565, 559, 
##     557, 566, 560, 551, 563, 559, 569, 565, 565, 565, 561, 566, 
##     567, 565, 569, 571, 570, 564, 573, 564, 560, 568, 563, 565, 
##     565, 566, 567, 565, 567, 560, 561, 565, 564, 568, 560, 566, 
##     569, 566, 567, 579, 571, 574, 576, 569, 574, 566, 567, 572, 
##     562, 569, 566, 567, 567, 569, 566, 557, 573, 564, 566, 570, 
##     564, 563, 571, 568, 567, 566, 567, 568, 568, 565, 571, 577, 
##     576, 572, 575, 568, 568, 568, 567, 572, 568, 569, 559, 573, 
##     574, 568, 574, 572, 574, 574, 571, 571, 572, 572, 578, 576, 
##     570, 570, 575, 584, 577, 584, 571, 580, 575, 575, 571, 577, 
##     571, 571, 569, 568, 571, 568, 567, 563, 565, 571, 564, 564, 
##     556, 568, 558, 563, 566, 564, 559, 568, 564, 562, 558, 565, 
##     569, 564, 564, 567, 567, 575, 573, 580, 573, 574, 581, 566, 
##     577, 574, 575, 565, 574, 565, 573, 567, 571, 570, 567, 560, 
##     559, 561, 558, 556, 559, 556, 563, 559, 564, 561, 564, 565, 
##     568, 565, 568, 563, 569, 568, 569, 564, 572, 568, 572, 574, 
##     569, 566, 567, 561, 567, 567, 563, 561, 557, 565, 561, 565, 
##     566, 565, 568, 566, 570, 567, 567, 569, 574, 612, 606, 610, 
##     607, 611, 607, 608, 611, 607, 610, 610, 604, 605, 611, 607, 
##     608, 610, 608, 603, 608, 606, 611, 610, 611, 607, 614, 611, 
##     612, 612, 607, 610, 612, 604, 609, 609, 610, 607, 614, 608, 
##     600, 604, 605, 602, 601, 611, 608, 605, 600, 614, 610, 607, 
##     602, 604, 604, 613, 604, 610, 602, 608, 605, 598, 604, 610, 
##     612, 607, 607, 600, 598, 612, 610, 610, 608, 614, 600, 613, 
##     609, 612, 610, 611, 608, 606, 606, 607, 605, 605, 606, 606, 
##     607, 606, 604, 600, 600, 603, 604, 603, 604, 607, 606, 605, 
##     602, 603, 604, 602, 608, 608, 602, 604, 611, 607, 602, 604, 
##     606, 606, 608, 603, 607, 603, 607, 599, 602, 603, 602, 607, 
##     607, 599, 601, 609, 608, 601, 606, 597, 603, 609, 599, 604, 
##     601, 605, 601, 608, 601, 602, 602, 612, 606, 607, 607, 602, 
##     600, 601, 608, 609, 594, 610, 605, 613, 608, 607, 607, 607, 
##     613, 607, 605, 602, 607, 603, 607, 610, 605, 607, 614, 605, 
##     609, 606, 612, 609, 601, 609, 605, 612, 601, 611, 607, 606, 
##     606, 606, 603, 605, 614, 603, 613, 602, 604, 607, 606, 612, 
##     605, 605, 599, 605, 602, 601, 604, 610, 603, 596, 600, 603, 
##     601, 599, 603, 607, 603, 602, 603, 598, 594, 604, 604, 599, 
##     602, 602, 599, 603, 601, 596, 601, 603, 607, 602, 604, 602, 
##     602, 599, 608, 610, 607, 612, 609, 608, 612, 614, 614, 605, 
##     608, 605, 608, 605, 604, 610, 607, 603, 607, 604, 603, 600, 
##     600, 612, 609, 603, 598, 601, 607, 602, 593, 606, 605, 602, 
##     608, 608, 599, 604, 603, 605, 599, 602, 604, 600, 605, 602, 
##     607, 602, 611, 606, 605, 605, 614, 605, 603, 603, 619, 607, 
##     607, 606, 602, 606, 606, 603, 603, 605, 603, 603, 610, 607, 
##     604, 597, 608, 609, 613, 598, 606, 605, 606, 604, 601, 601, 
##     598, 602, 599, 603, 602, 607, 605, 593, 603, 609, 598, 607, 
##     600, 611, 603, 606, 600, 613, 610, 603, 609, 608, 601, 603, 
##     604, 603, 604, 606, 608, 601, 609, 606, 606, 610, 600, 610, 
##     600, 604, 609, 619, 608, 603, 608, 607, 612, 606, 610, 610, 
##     603, 601, 603, 605, 600, 599, 605, 615, 601, 603, 607, 601, 
##     609, 600, 602, 606, 602, 605, 608, 604, 608, 606, 603, 600, 
##     603, 603, 603, 607, 600, 605, 598, 604, 598, 597, 599, 596, 
##     597, 600, 600, 599, 598, 603, 598, 601, 603, 604, 595, 607, 
##     600, 597, 600, 600, 601, 597, 603, 600, 601, 599, 591, 605, 
##     596, 598, 599, 603, 603, 603, 600, 606, 595, 599, 607, 602, 
##     605, 603, 602, 603, 599, 603, 601, 595, 598, 605, 607, 602, 
##     606, 607, 602, 601, 607, 602, 610, 600, 608, 609, 607, 608, 
##     610, 602, 612, 607, 611, 609, 611, 599, 602, 604, 601, 601, 
##     599, 604, 607, 634, 629, 633, 630, 631, 633, 631, 628, 631, 
##     634, 636, 631, 630, 630, 628, 633, 627, 625, 632, 627, 630, 
##     627, 630, 632, 628, 626, 631, 629, 627, 632, 629, 631, 631, 
##     620, 626, 631, 631, 627, 636, 635, 624, 632, 629, 631, 627, 
##     631, 631, 633, 628, 633, 631, 629, 627, 634, 619, 631, 630, 
##     632, 634, 638, 631, 631, 628, 628, 634, 635, 631, 631, 631, 
##     627, 628, 630, 621, 629, 623, 625, 629, 630, 629, 636, 632, 
##     632, 630, 625, 632, 630, 624, 634, 624, 627, 627, 633, 627, 
##     630, 633, 637, 639, 633, 632, 629, 632, 633, 630, 631, 630, 
##     629, 624, 627, 628, 631, 628, 629, 627, 631, 629, 627, 628, 
##     631, 629, 630, 631, 631, 633, 632, 636, 630, 635, 632, 634, 
##     629, 631, 630, 633, 634, 630, 625, 629, 633, 631, 626, 628, 
##     625, 628, 631, 632, 630, 629, 630, 629, 627, 628, 635, 626, 
##     634, 633, 634, 631, 629, 628, 630, 629, 630, 631, 630, 636, 
##     627, 627, 636, 630, 634, 628, 631, 632, 628, 624, 638, 626, 
##     637, 626, 634, 630, 630, 634, 631, 623, 633, 627, 626, 625, 
##     625, 626, 626, 627, 627, 629, 626, 623, 627, 630, 631, 628, 
##     633, 629, 631, 627, 634, 629, 630, 632, 626, 623, 623, 625, 
##     628, 632, 635, 630, 628, 625, 628, 628, 628, 625, 634, 632, 
##     627, 625, 630, 630, 629, 625, 626, 618, 630, 626, 624, 628, 
##     630, 628, 628, 627, 629, 624, 629, 626, 634, 631, 635, 631, 
##     627, 631, 628, 629, 637, 629, 630, 630, 625, 631, 631, 627, 
##     619, 623, 622, 629, 620, 626, 638, 623, 623, 624, 625, 625, 
##     623, 618, 622, 632, 624, 614, 619, 621, 622, 627, 619, 615, 
##     626, 620, 626, 624, 627, 628, 624, 621, 627, 625, 623, 622, 
##     626, 630, 628, 629, 628, 623, 623, 624, 624, 630, 627, 626, 
##     622, 623, 626, 629, 624, 629, 632, 626, 628, 627, 623, 630, 
##     629, 631, 629, 632, 628, 623, 630, 625, 629, 632, 626, 631, 
##     637, 639, 638, 636, 633, 632, 633, 636, 636, 638, 635, 632, 
##     638, 639, 639, 638, 636, 637, 635, 635, 640, 636, 638, 638, 
##     638, 635, 634, 602, 601, 614, 604, 603, 611, 603, 603, 602, 
##     598, 597, 600, 605, 603, 605, 605, 604, 602, 606, 603, 600, 
##     600, 605, 605, 602, 604, 610, 602, 602, 604, 604, 608, 601, 
##     598, 607, 607, 606, 611, 602, 606, 602, 608, 606, 609, 606, 
##     602, 601, 600, 602, 604, 602, 603, 606, 608, 606, 606, 609, 
##     608, 612, 607, 604, 602, 602, 605, 611, 603, 609, 611, 606, 
##     610, 607, 610, 603, 605, 610, 609, 602, 609, 602, 608, 606, 
##     611, 608, 607, 602, 614, 604, 609, 599, 605, 605, 604, 607, 
##     601, 604, 608, 605, 599, 607, 606, 608, 610, 612, 610, 608, 
##     602, 603, 600, 605, 603, 602, 599, 605, 599, 608, 600, 602, 
##     603, 604, 606, 611, 606, 603, 610, 603, 600, 605, 602, 603, 
##     607, 608, 600, 605, 607, 611, 601, 601, 601, 612, 610, 607, 
##     610, 610, 604, 600, 605, 604, 611, 604, 599, 600, 606, 613, 
##     603, 608, 607, 602, 608, 606, 607, 604, 609, 607, 611, 603, 
##     608, 607, 607, 607, 603, 602, 603, 606, 602, 608, 608, 599, 
##     612, 605, 609, 604, 598, 604, 604, 604, 606, 609, 602, 606, 
##     611, 601, 611, 601, 611, 606, 613, 608, 606, 601, 601, 603, 
##     612, 604, 610, 600, 607, 612, 614, 603, 609, 609, 611, 610, 
##     608, 610, 603, 610, 601, 614, 612, 613, 604, 608, 611, 610, 
##     598, 611, 610, 610, 609, 603, 609, 600, 602, 610, 605, 607, 
##     603, 607, 607, 607, 608, 613, 601, 602, 602, 603, 609, 608, 
##     606, 602, 600, 608, 603, 612, 609, 611, 608, 606, 605, 610, 
##     604, 611, 601, 605, 606, 603, 602, 611, 605, 611, 605, 611, 
##     611, 610, 611, 609, 607, 605, 610, 613, 612, 612, 602, 601, 
##     607, 602, 602, 609, 608, 609, 608, 601, 602, 605, 600, 604, 
##     602, 607, 598, 607, 610, 609, 607, 614, 604, 610, 607, 602, 
##     610, 602, 607, 599, 614, 610, 612, 607, 602, 609, 612, 603, 
##     608, 615, 610, 604, 606, 610, 610, 612, 615, 613, 614, 607, 
##     610, 604, 603, 600, 610, 610, 604, 607, 604, 607, 602, 604, 
##     602, 601, 609, 610, 607, 602, 603, 614, 611, 607, 606, 598, 
##     607, 607, 599, 608, 609, 608, 608, 598, 602, 615, 605, 611, 
##     600, 606, 605, 606, 610, 600, 602, 602, 606, 609, 607, 608, 
##     600, 607, 605, 608, 612, 608, 607, 607, 606, 607, 603, 611, 
##     606, 606, 607, 605, 606, 607, 608, 602, 613, 605, 604, 614, 
##     609, 605, 606, 606, 606, 599, 607, 600, 605, 598, 606, 601, 
##     607, 606, 607, 607, 602, 600, 600, 604, 606, 604, 600, 607, 
##     598, 606, 600, 604, 599, 591, 596, 595, 599, 596, 592, 592, 
##     588, 589, 591, 593, 596, 594, 592, 588, 590, 591, 591, 589, 
##     588, 587, 587, 590, 595, 590, 596, 588, 597, 597, 598, 597, 
##     591, 602, 604, 608, 608, 602, 609, 599, 605, 600, 607, 608, 
##     600, 608, 607, 602, 603, 608, 600, 606, 602, 602, 606, 604, 
##     600, 598, 596, 597, 606, 596, 598, 601, 597, 599, 606, 598, 
##     603, 603, 598, 599, 600, 593, 601, 596, 600, 596, 601, 607, 
##     606, 610, 609, 610, 608, 603, 606, 613, 605, 607, 613, 607, 
##     611, 608, 600, 603, 606, 612, 603, 609, 606, 608, 604, 603, 
##     611, 607, 603, 606, 607, 605, 611, 607, 608, 601, 606, 602, 
##     610, 608, 607, 611, 606, 614, 604, 604, 611, 607, 608, 611, 
##     608, 607, 602, 603, 608, 603, 607, 604, 600, 612, 602, 606, 
##     602, 600, 613, 607, 607, 607, 603, 618, 602, 612, 601, 606, 
##     603, 606, 607, 603, 605, 607, 605, 601, 605, 604, 606, 604, 
##     598, 599, 606, 604, 604, 604, 612, 600, 603, 609, 613, 604, 
##     602, 600, 603, 605, 602, 608, 606, 602, 606, 603, 609, 607, 
##     609, 603, 602, 606, 604, 612, 609, 611, 597, 608, 604, 612, 
##     609, 597, 606, 607, 611, 600, 600, 604, 610, 613, 605, 606, 
##     607, 607, 611, 610, 605, 613, 603, 606, 607, 610, 604, 605, 
##     601, 600, 606, 604, 603, 604, 607, 609, 607, 612, 609, 611, 
##     607, 612, 600, 603, 617, 616, 607, 607, 609, 609, 600, 605, 
##     604, 607, 612, 598, 608, 607, 602, 602, 604, 610, 601, 611, 
##     612, 608, 613, 608, 611, 602, 604, 604, 608, 609, 602, 598, 
##     597, 602, 607, 602, 605, 609, 607, 601, 602, 607, 608, 611, 
##     613, 607, 617, 605, 607, 611, 606, 608, 607, 610, 612, 615, 
##     608, 615, 615, 607, 610, 609, 605, 615, 611, 613, 603, 612, 
##     606, 605, 607, 612, 604, 609, 601, 601, 612, 605, 614, 610, 
##     603, 610, 612, 609, 605, 606, 609, 603, 609, 607, 607, 606, 
##     611, 603, 594, 606, 607, 602, 608, 600, 605, 606, 608, 611, 
##     604, 603, 603, 605, 604, 600, 600, 604, 602, 608, 607, 606, 
##     613, 605, 606, 602, 610, 602, 602, 607, 607, 600, 602, 605, 
##     606, 610, 608, 608, 607, 608, 603, 608, 605, 606, 605, 610, 
##     604, 601, 614, 609, 608, 610, 606, 608, 606, 606, 615, 605, 
##     608, 612, 601, 607, 608, 606, 606, 601, 614, 606, 606, 611, 
##     606, 606, 600, 603, 606, 602, 604, 604, 606, 606, 603, 601, 
##     608, 603, 604, 607, 606, 600, 606, 603, 605, 602, 603, 605, 
##     607, 609, 607, 605, 601, 600, 610, 600, 603, 612, 604, 606, 
##     603, 605, 608, 606, 610, 612, 610, 600, 602, 610, 602, 605, 
##     601, 607, 598, 602, 608, 604, 609, 609, 600, 603, 607, 600, 
##     603, 605, 605, 600, 603, 603, 605, 603, 602, 607, 605, 607, 
##     605, 605, 607, 599, 605, 603, 604, 608, 608, 606, 602, 598, 
##     599, 598, 601, 607, 606, 609, 605, 600, 607, 606, 607, 598, 
##     607, 607, 603, 607, 603, 604, 601, 601, 599, 599, 602, 601, 
##     607, 602, 600, 595, 600, 598, 600, 601, 601, 606, 602, 600, 
##     601, 599, 601, 606, 598, 600, 612, 604, 604, 605, 614, 609, 
##     605, 612, 606, 602, 610, 613, 607, 609, 611, 601, 615, 604, 
##     602, 612, 608, 607, 602, 608, 608, 602, 604, 613, 612, 612, 
##     608, 605, 611, 607, 602, 608, 610, 605, 607, 608, 609, 609, 
##     606, 610, 613, 615, 608, 607, 611, 608, 609, 612, 600, 603, 
##     602, 599, 608, 612, 602, 609, 608, 600, 608, 608, 605, 604, 
##     600, 609, 604, 610, 602, 602, 602, 602, 602, 604, 605, 608, 
##     607, 604, 605, 600, 607, 614, 606, 607, 606, 607, 606, 611, 
##     605, 605, 612, 606, 607, 607, 606, 605, 601, 604, 603, 606, 
##     601, 604, 601, 606, 602, 606, 606, 607, 606, 607, 607, 600, 
##     604, 605, 606, 601, 604, 602, 605, 598, 607, 605, 600, 604, 
##     604, 600, 607, 605, 603, 609, 605, 606, 610, 607, 613, 600, 
##     604, 606, 610, 609, 604, 609, 606, 605, 603, 612, 607, 602, 
##     605, 602, 605, 609, 599, 604, 605, 602, 602, 600, 602, 599, 
##     604, 600, 603, 605, 599, 598, 610, 604, 602, 602, 597, 598, 
##     598, 602, 600, 598, 602, 600, 606, 597, 605, 600, 598, 601, 
##     602, 605, 606, 603, 607, 600, 600, 602, 607, 599, 592, 597, 
##     602, 601, 602, 600, 598, 599, 604, 601, 607, 603, 601, 607, 
##     604, 602, 605, 602, 603, 600, 608, 602, 607, 600, 603, 602, 
##     595, 601, 604, 607, 598, 599, 603, 604, 602, 602, 604, 601, 
##     598, 603, 597, 599, 599, 597, 600, 601, 598, 597, 597, 604, 
##     602, 588, 597, 596, 594, 602, 595, 605, 599, 606, 600, 597, 
##     601, 605, 600, 606, 600, 590, 602, 606, 601, 604, 604, 602, 
##     597, 602, 608, 598, 608, 609, 597, 609, 600, 606, 604, 602, 
##     602, 605, 597, 601, 598, 604, 605, 613, 600, 602, 599, 594, 
##     599, 599, 600, 599, 601, 592, 600, 599, 596, 595, 601, 609, 
##     599, 597, 596, 598, 602, 597, 593, 596, 601, 597, 597, 598, 
##     596, 607, 595, 597, 603, 598, 597, 597, 598, 596, 600, 598, 
##     602, 601, 598, 602, 601, 599, 598, 596, 606, 606, 599, 603, 
##     604, 601, 600, 606, 601, 603, 601, 601, 605, 602, 605, 606, 
##     601, 611, 608, 611, 613, 606, 602, 611, 606, 602, 606, 614, 
##     609, 602, 604, 601, 606, 602, 608, 605, 613, 597, 614, 609, 
##     612, 608, 606, 609, 602, 611, 603, 602, 600, 602, 607, 606, 
##     603, 605, 604, 598, 598, 602, 606, 600, 601, 607, 611, 602, 
##     601, 600, 608, 606, 599, 600, 603, 609, 605, 603, 606, 606, 
##     607, 602, 612, 602, 600, 603, 611, 603, 607, 607, 599, 601, 
##     603, 600, 599, 610, 604, 601, 611, 604, 601, 606, 602, 604, 
##     603, 604, 603, 603, 606, 609, 613, 598, 601, 600, 603, 610, 
##     591, 604, 597, 604, 601, 598, 602, 606, 592, 605, 607, 607, 
##     602, 607, 597, 602, 599, 602, 610, 601, 603, 608, 608, 603, 
##     613, 604, 603, 604, 606, 604, 609, 605, 608, 602, 604, 602, 
##     601, 600, 598, 593, 606, 607, 599, 608, 602, 601, 602, 605, 
##     600, 600, 601, 599, 607, 605, 602, 607, 608, 603, 604, 605, 
##     603, 600, 604, 605, 599, 600, 599, 606, 606, 603, 613, 610, 
##     606, 615, 606, 610, 611, 608, 605, 602, 607, 612, 611, 613, 
##     609, 603, 605, 608, 612, 608, 606, 603, 605, 600, 607, 601, 
##     610, 602, 602, 602, 604, 610, 599, 598, 611, 605, 607, 607, 
##     635, 631, 631, 632, 628, 647, 638, 632, 643, 637, 633, 631, 
##     639, 638, 638, 636, 634, 631, 629, 637, 626, 625, 628, 625, 
##     620, 628, 633, 628, 623, 637, 631, 630, 632, 639, 629, 629, 
##     634, 630, 639, 633, 630, 632, 640, 633, 632, 631, 635, 631, 
##     642, 625, 629, 630, 632, 630, 628, 635, 627, 624, 627, 624, 
##     631, 620, 627, 633, 628, 632, 625, 623, 630, 624, 619, 624, 
##     623, 626, 628, 625, 631, 629, 641, 631, 634, 629, 635, 628, 
##     631, 634, 629, 634, 629, 625, 632, 633, 631, 632, 629, 631, 
##     629, 631, 630, 625, 639, 633, 634, 628, 632, 633, 627, 629, 
##     626, 634, 630, 631, 634, 632, 631, 630, 635, 630, 632, 633, 
##     629, 629, 634, 627, 628, 633, 626, 631, 631, 565, 568, 569, 
##     576, 579, 571, 568, 566, 566, 563, 569, 566, 571, 566, 567, 
##     567, 574, 570, 571, 574, 569, 570, 571, 570, 567, 568, 561, 
##     568, 567, 573, 563, 571, 561, 574, 574, 568, 568, 562, 567, 
##     570, 562, 568, 569, 566, 566, 565, 569, 560, 558, 560, 559, 
##     561, 558, 561, 567, 569, 569, 578, 576, 570, 566, 570, 575, 
##     572, 567, 568, 574, 570, 568, 568, 569, 568, 567, 566, 568, 
##     560, 562, 565, 566, 574, 574, 567, 568, 575, 571, 571, 573, 
##     564, 565, 569, 572, 568, 567, 576, 571, 568, 569, 556, 567, 
##     565, 567, 561, 569, 573, 565, 569, 565, 563, 562, 564, 568, 
##     565, 566, 567, 559, 567, 564, 567, 565, 573, 570, 572, 573, 
##     568, 566, 575, 574, 566, 575, 577, 572, 575, 572, 576, 568, 
##     574, 567, 567, 577, 571, 567, 570, 569, 585, 589, 586, 590, 
##     588, 592, 590, 593, 585, 585, 579, 585, 583, 584, 590, 584, 
##     586, 583, 580, 582, 583, 582, 575, 576, 577, 588, 581, 583, 
##     581, 585, 584, 593, 584, 582, 583, 586, 587, 582, 593, 588, 
##     591, 583, 586, 586, 590, 583, 582, 579, 588, 586, 574, 580, 
##     579, 579, 583, 583, 582, 586, 586, 582, 587, 589, 589, 590, 
##     601, 602, 599, 596, 607, 603, 603, 606, 597, 607, 604, 598, 
##     602, 595, 605, 605, 598, 602, 603, 600, 604, 599, 601, 605, 
##     601, 602, 594, 599, 599, 598, 600, 601, 606, 598, 600, 605, 
##     595, 594, 599, 606, 604, 603, 595, 608, 601, 603, 603, 600, 
##     613, 595, 603, 604, 603, 605, 601, 610, 611, 602, 605, 601, 
##     603, 601, 600, 610, 597, 602, 605, 606, 605, 603, 614, 611, 
##     608, 602, 600, 605, 603, 601, 599, 597, 600, 601, 609, 599, 
##     602, 598, 605, 610, 612, 607, 607, 599, 603, 608, 608, 603, 
##     608, 607, 608, 602, 605, 608, 602, 608, 605, 604, 611, 611, 
##     607, 601, 602, 610, 601, 600, 610, 594, 614, 608, 608, 604, 
##     601, 604, 603, 601, 609, 608, 599, 608, 608, 606, 608, 600, 
##     599, 604, 601, 613, 612, 606, 610, 603, 609, 604, 600, 602, 
##     611, 601, 602, 608, 599, 608, 608, 604, 614, 602, 607, 607, 
##     608, 604, 610, 609, 606, 608, 610, 612, 610, 602, 607, 609, 
##     609, 611, 610, 605, 612, 607, 601, 612, 607, 605, 615, 612, 
##     603, 610, 600, 606, 601, 606, 610, 600, 603, 606, 603, 611, 
##     602, 609, 605, 608, 605, 600, 607, 611, 601, 605, 604, 607, 
##     610, 605, 609, 600, 604, 606, 604, 606, 607, 607, 607, 581, 
##     590, 583, 584, 585, 577, 584, 581, 582, 581, 580, 582, 579, 
##     589, 583, 584, 577, 583, 581, 582, 587, 588, 577, 581, 590, 
##     586, 581, 579, 582, 587, 586, 586, 591, 581, 583, 578, 585, 
##     581, 586, 593, 583, 589, 578, 590, 592, 588, 585, 591, 588, 
##     593, 587, 583, 590, 588, 591, 590, 585, 585, 584, 584, 590, 
##     584, 584, 584, 580, 585, 584, 589, 590, 584, 588, 584, 582, 
##     582, 588, 581, 593, 587, 586, 592, 588, 582, 585, 582, 578, 
##     588, 586, 589, 580, 593, 587, 584, 584, 583, 584, 579, 584, 
##     588, 575, 586, 580, 583, 581, 579, 583, 585, 586, 584, 587, 
##     579, 578, 585, 590, 581, 584, 583, 588, 572, 582, 584, 582, 
##     582, 583, 580, 587, 581, 587, 580, 580, 579, 583, 583, 579, 
##     578, 585, 578, 589, 581, 577, 585, 584, 579, 580, 590, 580, 
##     586, 584, 582, 581, 583, 574, 580, 582, 577, 584, 587, 586, 
##     589, 585, 582, 582, 584, 584, 582, 581, 585, 581, 584, 585, 
##     586, 583, 581, 585, 586, 586, 586, 583, 586, 580, 582, 586, 
##     586, 584, 585, 581, 588, 585, 583, 585, 597, 593, 588, 586, 
##     592, 591, 589, 583, 595, 586, 587, 583, 583, 586, 592, 587, 
##     591, 585, 586, 584, 583, 584, 583, 582, 584, 580, 587, 582, 
##     586, 584, 580, 590, 588, 586, 587, 586, 584, 584, 590, 582, 
##     589, 585, 590, 581, 586, 584, 591, 584, 587, 582, 589, 586, 
##     590, 585, 587, 591, 582, 587, 588, 592, 587, 592, 590, 591, 
##     583, 590, 583, 578, 586, 579, 584, 582, 582, 587, 585, 595, 
##     590, 579, 576, 583, 588, 581, 585, 586, 586, 585, 585, 585, 
##     586, 586, 588, 581, 587, 580, 583, 577, 590, 582, 584, 577, 
##     586, 587, 590, 585, 589, 582, 576, 585, 584, 583, 580, 584, 
##     589, 585, 579, 578, 586, 580, 589, 586, 581, 580, 584, 585, 
##     584, 582, 585, 585, 584, 582, 582, 585, 583, 587, 582, 583, 
##     584, 579, 584, 588, 585, 589, 585, 588, 587, 594, 583, 588, 
##     585, 581, 582, 592, 585, 585, 580, 584, 581, 581, 587, 587, 
##     581, 587, 587, 580, 586, 580, 591, 594, 592, 580, 590, 584, 
##     585, 590, 584, 586, 583, 584, 586, 593, 588, 583, 581, 586, 
##     588, 586, 580, 582, 587, 591, 580, 590, 586, 561, 564, 564, 
##     571, 559, 568, 564, 566, 568, 561, 567, 564, 562, 569, 573, 
##     574, 562, 562, 568, 566, 561, 562, 558, 560, 563, 559, 566, 
##     561, 563, 561, 558, 568, 570, 569, 565, 566, 566, 563, 568, 
##     570, 562, 562, 560, 571, 568, 568, 567, 565, 569, 568, 565, 
##     566, 560, 563, 573, 563, 561, 565, 564, 560, 574, 563, 564, 
##     571, 566, 565, 571, 566, 567, 565, 568, 571, 563, 556, 560, 
##     567, 567, 564, 565, 565, 560, 565, 566, 566, 564, 563, 568, 
##     569, 570, 568, 566, 569, 559, 566, 561, 568, 563, 558, 562, 
##     565, 556, 564, 564, 565, 566, 564, 563, 566, 565, 580, 573, 
##     566, 572, 568, 571, 573, 574, 573, 567, 576, 567, 566, 570, 
##     559, 566, 566, 563, 565, 564, 563, 559, 575, 559, 569, 571, 
##     566, 569, 568, 572, 569, 567, 564, 568, 565, 566, 567, 567, 
##     565, 565, 561, 563, 562, 563, 567, 566, 566, 566, 565, 571, 
##     567, 569, 569, 566, 570, 566, 575, 573, 577, 573, 570, 569, 
##     570, 567, 568, 569, 566, 566, 564, 565, 560, 557, 564, 566, 
##     564, 570, 573, 572, 566, 569, 566, 571, 569, 567, 570, 573, 
##     574, 564, 566, 569, 570, 567, 565, 564, 566, 564, 564, 569, 
##     567, 568, 564, 567, 569, 572, 567, 564, 570, 573, 571, 567, 
##     557, 564, 566, 568, 568, 569, 566, 566, 574, 569, 573, 570, 
##     568, 573, 568, 571, 573, 559, 567, 564, 566, 566, 566, 566, 
##     563, 559, 558, 561, 568, 560, 567, 565, 563, 564, 565, 566, 
##     560, 564, 566, 558, 567, 568, 567, 562, 559, 559, 558, 558, 
##     560, 561, 559, 565, 568, 568, 569, 572, 572, 566, 572, 571, 
##     567, 568, 565, 563, 566, 564, 564, 555, 559, 564, 565, 567, 
##     569, 563, 568, 568, 570, 566, 570, 572, 565, 568, 568, 567, 
##     565, 558, 559, 565, 565, 569, 563, 569, 562, 569, 560, 559, 
##     567, 566, 564, 558, 566, 564, 566, 570, 571, 563, 570, 571, 
##     567, 565, 569, 562, 560, 565, 564, 569, 563, 565, 562, 568, 
##     568, 562, 572, 567, 574, 569, 568, 563, 575, 571, 573, 564, 
##     574, 561, 566, 567, 557, 564, 564, 563, 567, 565, 572, 572, 
##     567, 565, 567, 568, 569, 563, 562, 564, 555, 562, 564, 569, 
##     565, 567, 556, 565, 572, 568, 566, 567, 568, 571, 565, 567, 
##     564, 568, 565, 560, 566, 568, 567, 569, 564, 564, 561, 559, 
##     566, 570, 571, 568, 567, 565, 568, 565, 565, 570, 567, 570, 
##     577, 559, 570, 567, 569, 602, 597, 607, 602, 604, 602, 603, 
##     602, 606, 607, 607, 604, 607, 606, 600, 595, 607, 599, 601, 
##     603, 604, 603, 602, 600, 602, 605, 599, 605, 604, 606, 603, 
##     598, 601, 598, 608, 600, 606, 598, 603, 607, 607, 598, 599, 
##     601, 607, 602, 603, 600, 603, 599, 607, 601, 601, 602, 599, 
##     604, 601, 603, 601, 604, 600, 598, 601, 605, 594, 602, 603, 
##     606, 600, 608, 598, 593, 602, 597, 600, 597, 600, 598, 597, 
##     606, 597, 599, 602, 600, 605, 594, 607, 593, 597, 603, 606, 
##     609, 601, 600, 597, 597, 605, 598, 603, 604, 601, 601, 599, 
##     601, 599, 602, 595, 602, 600, 601, 604, 596, 597, 597, 599, 
##     603, 602, 600, 601, 607, 601, 608, 599, 603, 599, 600, 599, 
##     600, 604, 603, 603, 597, 603, 597, 602, 599, 601, 600, 603, 
##     600, 603, 604, 606, 595, 602, 602, 602, 604, 596, 595, 600, 
##     601, 595, 601, 602, 599, 603, 605, 598, 602, 609, 611, 605, 
##     604, 601, 611, 608, 605, 601, 604, 601, 599, 599, 600, 599, 
##     601, 606, 609, 603, 598, 611, 602, 600, 601, 597, 599, 600, 
##     600, 603, 595, 600, 608, 602, 603, 600, 601, 603, 604, 608, 
##     604, 604, 600, 604, 599, 604, 600, 611, 604, 603, 598, 600, 
##     603, 607, 603, 599, 599, 607, 605, 601, 603, 604, 607, 603, 
##     600, 601, 604, 600, 606, 599, 607, 605, 607, 604, 603, 604, 
##     609, 603, 608, 602, 611, 603, 607, 610, 605, 605, 606, 608, 
##     608, 609, 602, 602, 602, 611, 608, 600, 601, 611, 609, 610, 
##     606, 600, 602, 599, 600, 603, 601, 601, 600, 598, 597, 607, 
##     607, 609, 605, 599, 608, 606, 605, 604, 610, 600, 608, 600, 
##     610, 608, 609, 605, 603, 607, 607, 604, 608, 612, 607, 596, 
##     605, 611, 613, 600, 605, 604, 604, 601, 609, 604, 604, 607, 
##     604, 600, 606, 598, 603, 605, 606, 604, 607, 611, 599, 605, 
##     606, 602, 610, 602, 603, 609, 607, 604, 606, 612, 611, 603, 
##     614, 602, 612, 604, 607, 602, 602, 599, 600, 606, 602, 597, 
##     606, 601, 605, 613, 606, 599, 608, 606, 597, 603, 600, 601, 
##     598, 607, 599, 600, 599, 595, 608, 599, 599, 597, 598, 598, 
##     599, 598, 594, 599, 596, 595, 598, 595, 602, 597, 598, 599, 
##     601, 592, 600, 597, 599, 599, 592, 595, 603, 598, 598, 604, 
##     607, 595, 606, 606, 600, 604, 607, 600, 596, 601, 602, 598, 
##     605, 607, 601, 606, 601, 606, 601, 608, 599, 611, 602, 603, 
##     600, 598, 607, 606, 602, 601, 601, 605, 595, 600, 597, 599, 
##     607, 600, 605, 602, 601, 606, 598, 595, 598, 597, 606, 602, 
##     598, 604, 632, 629, 637, 632, 638, 633, 634, 641, 634, 630, 
##     641, 634, 632, 630, 639, 635, 630, 631, 632, 634, 639, 630, 
##     638, 633, 634, 629, 637, 631, 635, 634, 633, 639, 633, 632, 
##     631, 638, 638, 639, 634, 632, 628, 640, 633, 635, 635, 641, 
##     637, 634, 638, 633, 628, 637, 640, 632, 634, 635, 635, 635, 
##     632, 630, 628, 631, 632, 638, 631, 629, 633, 625, 628, 638, 
##     626, 637, 637, 633, 629, 638, 634, 631, 633, 633, 632, 634, 
##     630, 637, 633, 630, 630, 633, 632, 633, 636, 636, 633, 637, 
##     632, 630, 632, 628, 627, 629, 629, 633, 629, 635, 631, 628, 
##     631, 639, 641, 629, 636, 634, 639, 638, 633, 631, 632, 638, 
##     641, 640, 637, 632, 635, 634, 642, 632, 633, 628, 639, 634, 
##     638, 638, 634, 628, 634, 635, 644, 628, 633, 633, 634, 640, 
##     633, 632, 632, 629, 634, 632, 633, 636, 634, 633, 631, 631, 
##     637, 632, 636, 634, 627, 628, 630, 633, 634, 631, 631, 639, 
##     634, 639, 633, 641, 631, 631, 634, 635, 640, 629, 637, 630, 
##     639, 638, 635, 638, 634, 633, 635, 629, 631, 636, 633, 638, 
##     629, 632, 631, 628, 632, 632, 629, 629, 630, 629, 635, 631, 
##     631, 632, 631, 629, 633, 627, 636, 635, 633, 624, 632, 637, 
##     643, 631, 641, 634, 631, 631, 635, 632, 635, 634, 631, 633, 
##     628, 631, 632, 633, 632, 632, 633, 635, 629, 628, 635, 632, 
##     633, 635, 639, 633, 633, 635, 633, 641, 627, 633, 630, 633, 
##     632, 635, 632, 631, 634, 633, 632, 636, 639, 628, 633, 628, 
##     631, 629, 638, 632, 630, 630, 635, 626, 629, 629, 627, 629, 
##     631, 637, 638, 633, 630, 635, 634, 632, 631, 634, 629, 639, 
##     633, 630, 632, 629, 630, 626, 633, 633, 633, 629, 632, 632, 
##     631, 627, 630, 632, 634, 630, 639, 632, 628, 626, 632, 634, 
##     630, 629, 632, 629, 635, 633, 628, 630, 633, 634, 631, 629, 
##     633, 629, 629, 633, 631, 632, 630, 636, 634, 633, 631, 631, 
##     631, 632, 633, 628, 639, 627, 631, 635, 636, 631, 633, 631, 
##     632, 627, 633, 627, 637, 630, 635, 628, 627, 632, 633, 635, 
##     640, 631, 633, 635, 630, 633, 638, 628, 631, 630, 635, 635, 
##     633, 634, 629, 637, 632, 635, 636, 632, 637, 631, 632, 630, 
##     633, 632, 632, 641, 627, 630, 628, 631, 633, 633, 633, 638, 
##     635, 631, 629, 635, 628, 633, 631, 630, 631, 635, 638, 632, 
##     633, 634, 643, 639, 636, 632, 635, 633, 640, 632, 632, 637, 
##     630, 631, 633, 626, 625, 638, 632, 634, 629, 632, 632, 634, 
##     632, 634, 627, 631, 627, 631, 632, 630, 630, 629, 629, 631, 
##     634, 626, 624, 630, 633, 628, 630, 624, 637, 634, 632, 637, 
##     630, 634, 629, 636, 632, 632, 627, 635, 629, 625, 628, 632, 
##     631, 623, 631, 630, 626, 626, 628, 623, 627, 631, 628, 631, 
##     626, 629, 626, 627, 630, 628, 634, 626, 632, 631, 632, 631, 
##     627, 636, 626, 630, 633, 630, 630, 622, 623, 627, 627, 632, 
##     627, 622, 634, 630, 632, 625, 624, 624, 633, 627, 627, 628, 
##     630, 626, 628, 630, 626, 627, 628, 632, 633, 632, 631, 626, 
##     632, 641, 638, 646, 634, 639, 641, 643, 641, 644, 639, 632, 
##     633, 633, 635, 635, 634, 638, 639, 631, 635, 638, 633, 633, 
##     632, 644, 632, 635, 636, 633, 637, 633, 633, 639, 637, 636, 
##     636, 634, 640, 633, 631, 634, 635, 637, 640, 633, 633, 637, 
##     631, 634, 636, 631, 632, 631, 637, 632, 629, 629, 633, 637, 
##     627, 631, 634, 631, 635, 601, 605, 598, 596, 603, 604, 598, 
##     601, 604, 610, 600, 600, 603, 609, 608, 610, 603, 601, 605, 
##     604, 606, 601, 604, 602, 602, 606, 606, 606, 600, 614, 604, 
##     594, 603, 602, 608, 601, 596, 600, 601, 601, 604, 604, 608, 
##     606, 605, 610, 606, 605, 605, 604, 606, 602, 605, 600, 599, 
##     599, 602, 602, 602, 609, 600, 606, 603, 602, 604, 604, 610, 
##     603, 611, 607, 601, 604, 603, 598, 600, 601, 599, 599, 599, 
##     600, 607, 602, 604, 601, 602, 599, 603, 597, 605, 605, 596, 
##     606, 602, 603, 597, 598, 596, 600, 597, 604, 601, 600, 604, 
##     605, 599, 599, 602, 598, 602, 605, 603, 607, 593, 603, 598, 
##     602, 603, 598, 600, 606, 604, 601, 599, 597, 605, 602, 600, 
##     603, 598, 596, 596, 607, 598, 596, 602, 603, 596, 597, 605, 
##     596, 596, 602, 600, 607, 597, 605, 602, 601, 608, 596, 599, 
##     603, 607, 598, 606, 602, 598, 596, 603, 599, 602, 606, 603, 
##     605, 602, 602, 599, 608, 595, 596, 600, 599, 602, 598, 601, 
##     602, 603, 606, 601, 604, 607, 604, 609, 598, 602, 597, 608, 
##     607, 600, 607, 606, 607, 601, 610, 605, 610, 597, 607, 602, 
##     607, 601, 609, 606, 607, 604, 608, 609, 607, 599, 598, 603, 
##     599, 601, 606, 604, 606, 606, 608, 603, 599, 602, 596, 598, 
##     605, 608, 604, 603, 600, 604, 599, 597, 598, 596, 599, 596, 
##     600, 601, 598, 600, 598, 606, 610, 602, 597, 604, 608, 598, 
##     612, 611, 601, 607, 602, 606, 607, 610, 599, 602, 604, 606, 
##     603, 602, 609, 603, 609, 602, 609, 602, 602, 603, 603, 603, 
##     597, 604, 602, 594, 595, 605, 605, 603, 606, 602, 597, 601, 
##     607, 595, 604, 607, 598, 598, 603, 601, 600, 599, 607, 602, 
##     605, 600, 610, 602, 604, 610, 597, 602, 599, 611, 602, 601, 
##     605, 602, 601, 606, 605, 607, 603, 603, 601, 601, 608, 607, 
##     602, 603, 598, 595, 607, 603, 601, 600, 596, 602, 600, 606, 
##     602, 598, 601, 608, 600, 607, 602, 598, 595, 604, 600, 604, 
##     604, 607, 607, 606, 603, 598, 609, 600, 610, 604, 600, 611, 
##     604, 605, 609, 608, 606, 598, 603, 603, 608, 606, 603, 598, 
##     602, 600, 611, 602, 598, 605, 604, 601, 599, 611, 603, 606, 
##     603, 611, 602, 601, 601, 607, 606, 605, 601, 603, 602, 607, 
##     601, 601, 602, 609, 599, 605, 601, 605, 601, 604, 603, 602, 
##     604, 600, 613, 603, 610, 598, 609, 603, 607, 602, 599, 601, 
##     613, 596, 604, 604, 605, 602, 608, 604, 606, 602, 607, 606, 
##     606, 601, 605, 601, 606, 602, 603, 600, 598, 602, 604, 600, 
##     599, 605, 599, 596, 604, 603, 598, 601, 602, 605, 606, 606, 
##     606, 602, 601, 600, 598, 613, 599, 609, 604, 609, 608, 605, 
##     600, 607, 610, 606, 601, 606, 600, 601, 606, 604, 606, 603, 
##     607, 607, 599, 607, 605, 604, 602, 600, 607, 601, 612, 615, 
##     610, 607, 599, 608, 604, 607, 601, 606, 603, 601, 607, 602, 
##     599, 605, 597, 604, 601, 600, 610, 597, 598, 601, 592, 607, 
##     602, 606, 601, 603, 603, 600, 601, 612, 600, 602, 598, 603, 
##     595, 610, 607, 605, 606, 607, 599, 608, 598, 608, 604, 598, 
##     605, 611, 606, 610, 604, 603, 602, 607, 611, 603, 608, 602, 
##     604, 605, 607, 602, 609, 610, 602, 606, 607, 608, 606, 610, 
##     611, 609, 615, 614, 608, 607, 607, 610, 612, 608, 604, 605, 
##     612, 609, 611, 611, 610, 611, 607, 611, 608, 606, 615, 614, 
##     608, 610, 602, 606, 613, 609, 613, 612, 613, 607, 612, 603, 
##     615, 605, 612, 607, 610, 611, 609, 611, 605, 606, 611, 608, 
##     609, 614, 611, 608, 608, 613, 608, 599, 612, 599, 605, 606, 
##     606, 602, 601, 598, 606, 610, 600, 605, 611, 605, 610, 597, 
##     604, 597, 607, 602, 597, 607, 611, 603, 604, 607, 607, 606, 
##     601, 609, 608, 598, 606, 610, 602, 601, 603, 597, 601, 604, 
##     602, 602, 600, 600, 606, 598, 600, 601, 599, 600, 603, 605, 
##     603, 603, 598, 603, 594, 597, 603, 604, 606, 605, 599, 608, 
##     605, 603, 602, 599, 602, 605, 603, 601, 605, 607, 601, 598, 
##     599, 597, 600, 601, 604, 603, 600, 607, 605, 611, 600, 603, 
##     603, 600, 602, 599, 611, 605, 597, 606, 600, 603, 600, 598, 
##     599, 600, 603, 605, 602, 608, 599, 601, 599, 598, 594, 599, 
##     597, 599, 602, 600, 602, 607, 601, 602, 600, 613, 605, 600, 
##     603, 607, 607, 603, 604, 600, 596, 603, 601, 594, 601, 607, 
##     603, 602, 602, 599, 603, 603, 599, 607, 601, 599, 606, 603, 
##     609, 595, 601, 605, 598, 601, 599, 605, 603, 603, 602, 614, 
##     605, 597, 595, 599, 601, 598, 599, 602, 592, 597, 597, 605, 
##     594, 594, 605, 599, 599, 601, 600, 598, 606, 608, 599, 597, 
##     600, 600, 603, 598, 598, 599, 599, 592, 601, 602, 601, 600, 
##     598, 601, 597, 598, 596, 602, 601, 600, 600, 597, 592, 591, 
##     599, 596, 598, 597, 599, 604, 599, 598, 599, 602, 598, 593, 
##     597, 602, 602, 600, 602, 602, 602, 600, 597, 596, 596, 600, 
##     597, 594, 597, 600, 600, 594, 598, 594, 590, 591, 592, 593, 
##     598, 593, 592, 605, 594, 594, 596, 598, 598, 598, 598, 599, 
##     594, 601, 601, 591, 595, 597, 600, 596, 591, 597, 594, 597, 
##     591, 590, 592, 598, 599, 598, 604, 602, 592, 595, 596, 597, 
##     597, 602, 592, 599, 590, 601, 591, 600, 600, 595, 595, 603, 
##     592, 596, 591, 597, 598, 599, 590, 593, 599, 597, 600, 600, 
##     597, 593, 595, 598, 602, 593, 595, 596, 600, 602, 595, 593, 
##     593, 604, 599, 598, 597, 596, 601, 601, 595, 605, 599, 599, 
##     600, 600, 596, 597, 591, 593, 599, 599, 597, 596, 599, 592, 
##     592, 602, 597, 593, 592, 595, 596, 601, 593, 597, 592, 600, 
##     598, 595, 597, 593, 591, 593, 596, 596, 602, 595, 599, 597, 
##     599, 598, 600, 597, 599, 591, 601, 594, 601, 595, 594, 596, 
##     596, 597, 597, 599, 601, 596, 599, 594, 591, 592, 595, 597, 
##     591, 599, 601, 599, 596, 595, 600, 600, 596, 603, 596, 599, 
##     601, 591, 598, 599, 598, 591, 593, 602, 595, 593, 598, 597, 
##     597, 600, 596, 599, 594, 594, 601, 593, 602, 600, 595, 593, 
##     597, 598, 593, 597, 600, 602, 598, 601, 593, 592, 595, 596, 
##     595, 591, 594, 600, 599, 596, 595, 596, 595, 596, 603, 591, 
##     590, 598, 600, 599, 599, 594, 595, 597, 595, 595, 602, 598, 
##     601, 597, 599, 600, 598, 600, 596, 596, 599, 598, 605, 601, 
##     607, 596, 596, 603, 600, 601, 591, 604, 595, 599, 599, 601, 
##     602, 598, 601, 599, 592, 599, 601, 592, 595, 600, 592, 594, 
##     599, 602, 599, 595, 599, 597, 602, 596, 597, 595, 602, 591, 
##     596, 590, 586, 594, 594, 599, 599, 597, 592, 595, 593, 599, 
##     592, 591, 592, 595, 595, 602, 590, 594, 598, 593, 583, 597, 
##     585, 594, 600, 593, 599, 595, 596, 597, 597, 591, 595, 593, 
##     593, 593, 595, 592, 595, 599, 599, 599, 601, 596, 596, 601, 
##     602, 597, 596, 602, 597, 586, 603, 603, 593, 592, 598, 592, 
##     589, 593, 596, 603, 597, 599, 597, 599, 600, 584, 597, 597, 
##     591, 593, 593, 598, 603, 598, 600, 599, 601, 599, 599, 601, 
##     598, 599, 595, 592, 597, 595, 595, 598, 593, 595, 599, 599, 
##     594, 597, 598, 595, 598, 600, 601, 598, 597, 591, 596, 604, 
##     602, 598, 597, 601, 586, 593, 599, 600, 596, 599, 599, 598, 
##     597, 600, 600, 597, 597, 596, 602, 606, 591, 593, 597, 594, 
##     605, 598, 602, 604, 596, 596, 603, 600, 608, 600, 604, 604, 
##     607, 602, 604, 602, 599, 604, 604, 604, 603, 607, 605, 600, 
##     612, 600, 607, 600, 597, 600, 601, 602, 605, 603, 633, 626, 
##     639, 630, 632, 634, 642, 639, 630, 636, 636, 634, 636, 641, 
##     635, 636, 633, 635, 636, 628, 635, 637, 631, 635, 637, 636, 
##     637, 630, 636, 632, 634, 633, 638, 632, 633, 635, 634, 646, 
##     636, 637, 639, 631, 642, 636, 636, 625, 629, 640, 631, 632, 
##     634, 634, 630, 635, 635, 633, 635, 629, 640, 634, 630, 566, 
##     567, 565, 562, 562, 558, 562, 566, 565, 563, 567, 565, 567, 
##     567, 572, 567, 566, 572, 565, 564, 567, 568, 567, 563, 567, 
##     566, 574, 570, 566, 568, 565, 563, 573, 567, 574, 569, 567, 
##     570, 573, 570, 568, 568, 560, 567, 564, 569, 569, 560, 562, 
##     561, 564, 567, 564, 566, 564, 563, 563, 559, 560, 566, 575, 
##     571, 570, 568, 576, 571, 574, 566, 568, 565, 569, 558, 559, 
##     587, 582, 583, 588, 588, 590, 586, 590, 589, 587, 584, 590, 
##     588, 596, 595, 592, 587, 584, 594, 583, 582, 583, 588, 583, 
##     581, 585, 595, 585, 596, 592, 586, 591, 586, 580, 580, 582, 
##     583, 586, 576, 582, 583, 586, 585, 585, 582, 580, 584, 583, 
##     587, 581, 581, 583, 586, 589, 581, 580, 592, 585, 585, 590, 
##     587, 592, 585, 586, 583, 582, 587, 594, 593, 589, 590, 588, 
##     590, 576, 586, 586, 587, 583, 591, 589, 584, 587, 586, 583, 
##     584, 590, 582, 593, 589, 593, 589, 575, 589, 587, 581, 575, 
##     580, 583, 589, 580, 581, 582, 582, 583, 579, 584, 586, 582, 
##     584, 583, 580, 581, 590, 584, 587, 582, 591, 609, 603, 607, 
##     606, 608, 604, 606, 612, 601, 610, 607, 610, 608, 603, 602, 
##     599, 608, 604, 603, 612, 607, 609, 601, 605, 609, 604, 603, 
##     597, 602, 598, 595, 597, 598, 599, 598, 598, 597, 606, 601, 
##     601, 597, 607, 598, 602, 605, 602, 600, 602, 601, 601, 600, 
##     607, 605, 604, 601, 594, 607, 600, 606, 601, 600, 604, 600, 
##     596, 598, 600, 603, 601, 595, 605, 598, 601, 600, 605, 604, 
##     603, 598, 603, 602, 597, 601, 601, 597, 606, 598, 596, 590, 
##     597, 604, 603, 594, 606, 605, 605, 598, 600, 604, 600, 603, 
##     604, 601, 604, 599, 606, 601, 600, 596, 609, 601, 598, 600, 
##     601, 598, 596, 601, 600, 606, 605, 596, 597, 602, 603, 607, 
##     606, 606, 605, 604, 600, 606, 601, 598, 596, 598, 598, 604, 
##     605, 603, 599, 604, 610, 599, 602, 604, 601, 603, 606, 605, 
##     597, 603, 600, 602, 606, 602, 601, 607, 604, 598, 611, 605, 
##     601, 608, 608, 611, 603, 604, 609, 608, 607, 606, 598, 601, 
##     604, 603, 609, 605, 603, 603, 610, 612, 611, 601, 600, 604, 
##     605, 603, 606, 602, 612, 610, 606, 603, 601, 610, 611, 611, 
##     611, 607, 603, 588, 581, 588, 584, 582, 588, 589, 581, 588, 
##     587, 584, 579, 587, 587, 584, 583, 577, 581, 582, 579, 585, 
##     579, 592, 576, 578, 578, 590, 586, 581, 587, 586, 581, 578, 
##     590, 585, 592, 582, 585, 588, 591, 583, 591, 595, 580, 577, 
##     591, 585, 587, 585, 587, 591, 593, 590, 585, 583, 588, 584, 
##     594, 594, 583, 584, 591, 591, 581, 586, 584, 584, 590, 581, 
##     583, 584, 579, 586, 591, 580, 581, 581, 582, 581, 582, 580, 
##     586, 582, 588, 584, 586, 585, 580, 588, 587, 587, 587, 595, 
##     587, 586, 584, 591, 587, 589, 594, 594, 592, 588, 584, 584, 
##     586, 586, 587, 581, 582, 590, 588, 584, 574, 585, 589, 582, 
##     591, 586, 588, 583, 585, 587, 590, 582, 585, 582, 579, 587, 
##     585, 586, 582, 584, 591, 591, 584, 581, 588, 584, 584, 585, 
##     585, 585, 583, 589, 585, 585, 593, 591, 585, 585, 589, 589, 
##     590, 585, 587, 588, 583, 587, 589, 587, 589, 582, 590, 589, 
##     584, 585, 589, 584, 591, 583, 587, 586, 590, 582, 586, 586, 
##     585, 584, 582, 582, 585, 589, 580, 578, 583, 581, 586, 579, 
##     589, 590, 589, 582, 582, 585, 584, 589, 587, 588, 587, 585, 
##     585, 587, 582, 587, 584, 587, 584, 587, 591, 595, 588, 589, 
##     585, 584, 582, 590, 583, 582, 593, 589, 589, 587, 591, 586, 
##     585, 591, 592, 584, 591, 594, 589, 591, 589, 594, 589, 595, 
##     588, 594, 596, 589, 594, 587, 586, 587, 592, 587, 590, 594, 
##     590, 586, 592, 587, 582, 585, 581, 586, 596, 587, 582, 587, 
##     590, 586, 588, 583, 584, 591, 599, 597, 593, 592, 596, 595, 
##     587, 587, 586, 585, 587, 591, 589, 583, 583, 585, 587, 584, 
##     584, 590, 592, 582, 585, 586, 586, 582, 586, 587, 589, 584, 
##     584, 582, 584, 583, 582, 583, 583, 582, 591, 586, 591, 582, 
##     590, 585, 580, 579, 589, 581, 581, 581, 581, 588, 581, 580, 
##     584, 584, 578, 585, 588, 582, 586, 582, 583, 593, 583, 587, 
##     581, 587, 586, 582, 579, 578, 577, 579, 587, 587, 584, 586, 
##     583, 589, 585, 581, 588, 586, 588, 586, 590, 587, 588, 584, 
##     584, 584, 591, 587, 576, 583, 585, 584, 585, 578, 583, 579, 
##     590, 583, 586, 588, 584, 581, 580, 581, 591, 587, 590, 591, 
##     595, 600, 597, 599, 601, 599, 597, 598, 601, 597, 597, 598, 
##     596, 599, 599, 599, 599, 604, 601, 604, 604, 603, 600, 599, 
##     601, 598, 597, 600, 603, 597, 599, 594, 595, 598, 601, 595, 
##     594, 598, 598, 599, 601, 597, 601, 599, 602, 594, 601, 604, 
##     607, 598, 599, 594, 603, 600, 601, 598, 603, 598, 596, 598, 
##     598, 600, 601, 600, 600, 600, 600, 605, 603, 602, 597, 605, 
##     592, 601, 596, 601, 597, 594, 595, 598, 606, 596, 599, 606, 
##     602, 597, 597, 596, 600, 599, 601, 599, 598, 596, 599, 596, 
##     592, 598, 596, 598, 597, 603, 593, 597, 594, 596, 593, 592, 
##     597, 591, 593, 597, 598, 593, 595, 596, 600, 591, 597, 601, 
##     599, 605, 605, 602, 602, 598, 594, 602, 599, 600, 599, 594, 
##     599, 599, 598, 601, 605, 608, 595, 599, 599, 602, 602, 599, 
##     596, 603, 602, 595, 598, 602, 600, 599, 597, 599, 599, 603, 
##     596, 594, 596, 596, 590, 596, 599, 595, 592, 596, 596, 597, 
##     601, 596, 595, 598, 601, 598, 602, 598, 603, 596, 595, 598, 
##     595, 595, 598, 598, 601, 602, 599, 608, 601, 606, 597, 597, 
##     599, 595, 600, 601, 602, 589, 594, 594, 597, 599, 604, 593, 
##     600, 602, 600, 612, 604, 607, 600, 599, 603, 602, 599, 598, 
##     597, 590, 593, 594, 601, 597, 596, 601, 602, 605, 604, 604, 
##     603, 604, 599, 599, 602, 602, 606, 597, 597, 600, 601, 606, 
##     599, 594, 602, 605, 594, 597, 602, 594, 594, 596, 597, 598, 
##     595, 598, 601, 596, 601, 601, 600, 598, 602, 595, 598, 599, 
##     598, 594, 597, 601, 600, 608, 607, 605, 604, 603, 604, 609, 
##     607, 603, 602, 603, 602, 598, 598, 608, 605, 602, 605, 602, 
##     602, 593, 595, 596, 591, 599, 597, 604, 605, 602, 607, 609, 
##     619, 613, 616, 570, 566, 564, 573, 561, 575, 575, 582, 585, 
##     596, 597, 596, 596, 587, 584, 568, 547, 524, 491, 457, 437, 
##     434, 430, 420, 421, 426, 421, 431, 434, 442, 441, 467, 465, 
##     478, 502, 540, 541, 550, 581, 577, 597, 607, 605, 622, 622, 
##     633, 633, 637, 647, 652, 659, 655, 660, 661, 656, 657, 658, 
##     652, 650, 647, 646, 645, 638, 633, 632, 621, 612, 557, 518, 
##     509, 494, 430, 412, 410, 406, 404, 406, 398, 394, 405, 392, 
##     402, 404, 410, 409, 419, 441, 472, 472, 481, 488, 500, 506, 
##     525, 540, 546, 551, 561, 575, 587, 603, 611, 632, 640, 642, 
##     467, 455, 434, 422, 405, 393, 405, 404, 400, 432, 440, 442, 
##     474, 485, 516, 529, 545, 557, 568, 593, 599, 607, 617, 638, 
##     640, 639, 656, 654, 659, 664, 659, 656, 668, 663, 659, 648, 
##     649, 644, 644, 644, 633, 632, 631, 623, 607, 605, 568, 534, 
##     520, 510, 492, 563, 559, 531, 519, 496, 473, 469, 418, 409, 
##     376, 376, 359, 354, 368, 365, 366, 374, 387, 392, 407, 421, 
##     426, 439, 456, 463, 469, 478, 497, 503, 540, 555, 567, 575, 
##     595, 593, 607, 618, 641, 648, 648, 659, 665, 664, 662, 661, 
##     662, 664, 657, 664, 662, 656, 659, 653, 645, 634, 621, 622, 
##     583, 567, 515, 498, 486, 433, 428, 421, 391, 382, 360, 372, 
##     369, 365, 373, 370, 375, 379, 405, 430, 434, 454, 472, 486, 
##     484, 515, 526, 533, 552, 585, 599, 607, 614, 623, 624, 631, 
##     637, 651, 662, 656, 649, 659, 658, 652, 653, 649, 651, 645, 
##     639, 631, 630, 614, 615, 607, 602, 583, 574, 561, 544, 532, 
##     507, 482, 484, 462, 451, 428, 413, 400, 408, 412, 429, 422, 
##     438, 440, 461, 483, 493, 517, 536, 573, 583, 595, 599, 612, 
##     616, 627, 636, 638, 645, 647, 657, 653, 653, 656, 650, 652, 
##     637, 641, 628, 616, 605, 599, 584, 570, 564, 545, 535, 523, 
##     517, 501, 473, 472, 468, 425, 424, 408, 394, 393, 401, 397, 
##     396, 404, 412, 420, 416, 439, 461, 455, 492, 505, 513, 526, 
##     520, 548, 561, 584, 597, 599, 608, 615, 638, 641, 645, 648, 
##     652, 652, 660, 657, 656, 651, 649, 655, 655, 655, 648, 639, 
##     633, 629, 622, 592, 583, 575, 553, 539, 525, 497, 481, 469, 
##     454, 439, 422, 390, 384, 382, 368, 363, 372, 372, 375, 378, 
##     388, 383, 388, 397, 412, 419, 424, 436, 486, 499, 502, 515, 
##     520, 531, 527, 545, 571, 580, 577, 593, 595, 613, 603, 613, 
##     603, 602, 602, 608, 599, 594, 586, 587, 589, 583, 589, 589, 
##     586, 583, 581, 581, 582, 580, 576, 578, 576, 577, 580, 576, 
##     584, 581, 576, 579, 582, 575, 580, 576, 570, 576, 573, 578, 
##     574, 599, 600, 607, 602, 604, 596, 605, 604, 605, 597, 596, 
##     601, 614, 605, 603, 605, 594, 604, 596, 597, 599, 605, 599, 
##     600, 605, 602, 605, 600, 602, 604, 595, 604, 593, 598, 598, 
##     602, 603, 602, 600, 600, 602, 599, 602, 600, 610, 601, 603, 
##     608, 604, 600, 607, 607, 606, 599, 602, 609, 596, 602, 599, 
##     597, 595, 602, 602, 593, 603, 602, 601, 599, 604, 601, 598, 
##     606, 600, 599, 600, 601, 603, 598, 600, 598, 594, 600, 602, 
##     605, 596, 598, 602, 606, 605, 602, 600, 605, 605, 599, 607, 
##     602, 599, 602, 600, 604, 603, 603, 596, 599, 605, 602, 600, 
##     605, 599, 600, 596, 603, 601, 602, 601, 601, 604, 599, 593, 
##     602, 596, 601, 598, 602, 602, 600, 598, 606, 601, 601, 599, 
##     607, 601, 603, 603, 600, 607, 603, 602, 601, 592, 607, 605, 
##     607, 604, 606, 611, 608, 606, 613, 607, 598, 595, 602, 597, 
##     600, 596, 603, 593, 605, 601, 598, 599, 608, 597, 604, 598, 
##     599, 599, 600, 598, 606, 600, 602, 606, 596, 607, 603, 603, 
##     605, 605, 598, 603, 612, 606, 605, 601, 603, 607, 605, 606, 
##     605, 610, 601, 600, 600, 603, 602, 599, 599, 599, 605, 600, 
##     601, 598, 602, 600, 604, 601, 603, 606, 606, 604, 603, 604, 
##     609, 606, 604, 606, 604, 610, 605, 604, 601, 607, 601, 602, 
##     601, 609, 606, 605, 606, 603, 603, 603, 600, 602, 605, 605, 
##     601, 605, 600, 602, 608, 598, 600, 601, 603, 603, 598, 606, 
##     601, 601, 606, 604, 602, 607, 611, 608, 602, 605, 604, 606, 
##     605, 606, 602, 599, 599, 599, 605, 600, 599, 604, 602, 609, 
##     596, 605, 594, 598, 598, 604, 603, 600, 600, 603, 604, 634, 
##     636, 632, 634, 634, 635, 630, 635, 636, 629, 634, 632, 637, 
##     627, 633, 634, 638, 632, 635, 631, 627, 628, 623, 630, 627, 
##     630, 631, 630, 629, 634, 633, 629, 628, 626, 630, 638, 633, 
##     628, 631, 634, 626, 631, 631, 632, 634, 625, 630, 632, 632, 
##     626, 627, 639, 627, 629, 633, 631, 628, 630, 632, 630, 631, 
##     632, 634, 629, 626, 625, 631, 630, 627, 624, 632, 637, 637, 
##     629, 638, 627, 632, 625, 630, 632, 629, 630, 625, 631, 629, 
##     634, 627, 626, 629, 631, 626, 631, 628, 630, 635, 631, 627, 
##     627, 632, 631, 632, 631, 633, 633, 637, 627, 627, 627, 624, 
##     635, 630, 628, 624, 630, 630, 632, 633, 632, 631, 632, 634, 
##     632, 636, 630, 629, 630, 629, 625, 627, 628, 625, 636, 630, 
##     624, 626, 633, 628, 624, 623, 630, 620, 633, 628, 631, 630, 
##     627, 626, 632, 632, 630, 624, 627, 622, 622, 623, 629, 626, 
##     625, 626, 630, 627, 629, 622, 627, 626, 631, 635, 631, 628, 
##     632, 635, 630, 632, 630, 636, 631, 630, 637, 628, 631, 627, 
##     624, 633, 620, 628, 627, 627, 629, 629, 633, 631, 626, 630, 
##     633, 630, 623, 625, 626, 626, 629, 630, 628, 630, 619, 629, 
##     625, 631, 627, 629, 631, 632, 630, 626, 630, 631, 627, 626, 
##     624, 632, 634, 630, 630, 623, 622, 624, 628, 626, 630, 628, 
##     627, 633, 630, 627, 627, 631, 633, 635, 624, 630, 632, 630, 
##     627, 631, 631, 634, 629, 635, 630, 632, 625, 629, 625, 629, 
##     630, 629, 634, 632, 626, 628, 623, 631, 627, 623, 628, 626, 
##     628, 633, 632, 624, 627, 630, 631, 631, 632, 624, 630, 623, 
##     632, 633, 628, 624, 630, 633, 629, 631, 632, 630, 626, 631, 
##     633, 631, 628, 628, 635, 625, 631, 633, 635, 631, 641, 634, 
##     637, 636, 630, 629, 634, 632, 634, 640, 632, 628, 635, 635, 
##     633, 633, 634, 638, 631, 635, 634, 634, 629, 638, 634, 633, 
##     637, 637, 639, 637, 632, 639, 642, 635, 635, 635, 630, 637, 
##     631, 633, 642, 641, 636, 637, 643, 642, 633, 633, 636, 633, 
##     633, 635, 633, 629, 637, 634, 637, 627, 629, 630, 628, 631, 
##     632, 635, 634, 631, 631, 638, 632, 639, 637, 629, 640, 642, 
##     630, 634, 632, 632, 633, 638, 643, 639, 635, 636, 639, 630, 
##     641, 637, 633, 640, 637, 638, 637, 630, 641, 633, 621, 626, 
##     628, 622, 630, 634, 622, 636, 635, 631, 632, 632, 639, 644, 
##     636, 633, 636, 632, 633, 633, 636, 634, 635, 636, 643, 635, 
##     635, 635, 635, 635, 632, 636, 636, 635, 604, 605, 602, 612, 
##     612, 610, 614, 612, 605, 614, 609, 608, 608, 613, 608, 606, 
##     611, 609, 607, 609, 609, 603, 616, 605, 611, 608, 604, 601, 
##     604, 604, 606, 609, 599, 613, 612, 612, 609, 605, 607, 607, 
##     608, 610, 614, 608, 607, 604, 610, 608, 609, 611, 611, 608, 
##     606, 617, 610, 614, 608, 610, 612, 613, 607, 612, 611, 603, 
##     608, 610, 612, 603, 606, 609, 610, 604, 609, 606, 613, 611, 
##     612, 614, 600, 604, 604, 614, 606, 604, 609, 610, 609, 611, 
##     608, 608, 607, 609, 608, 606, 609, 613, 612, 602, 599, 604, 
##     610, 602, 616, 613, 616, 602, 606, 607, 611, 610, 606, 605, 
##     611, 611, 602, 607, 606, 603, 607, 609, 604, 610, 612, 610, 
##     611, 611, 607, 607, 608, 603, 612, 610, 616, 605, 611, 611, 
##     614, 606, 615, 605, 615, 610, 609, 610, 607, 611, 605, 607, 
##     609, 606, 611, 606, 607, 606, 611, 608, 603, 606, 610, 602, 
##     612, 604, 610, 605, 606, 600, 601, 602, 607, 608, 605, 607, 
##     609, 603, 605, 607, 611, 606, 605, 608, 606, 606, 606, 610, 
##     607, 610, 609, 615, 609, 605, 601, 613, 605, 609, 607, 610, 
##     607, 607, 607, 607, 609, 607, 613, 609, 611, 612, 610, 609, 
##     614, 608, 618, 610, 604, 606, 607, 601, 612, 607, 609, 604, 
##     603, 604, 608, 615, 608, 614, 602, 605, 602, 602, 610, 599, 
##     600, 604, 607, 605, 610, 608, 600, 606, 610, 607, 606, 601, 
##     603, 603, 612, 607, 605, 608, 612, 606, 612, 608, 603, 610, 
##     607, 602, 608, 605, 602, 611, 610, 610, 606, 610, 600, 604, 
##     602, 610, 606, 605, 609, 611, 613, 607, 602, 605, 607, 606, 
##     604, 612, 607, 610, 605, 608, 610, 607, 610, 611, 608, 609, 
##     611, 608, 608, 617, 614, 610, 611, 602, 603, 601, 601, 602, 
##     591, 593, 594, 598, 596, 599, 596, 606, 598, 596, 607, 611, 
##     603, 599, 601, 593, 592, 592, 593, 595, 593, 607, 611, 611, 
##     608, 615, 613, 611, 615, 612, 617, 615, 611, 615, 615, 612, 
##     609, 595, 602, 608, 613, 613, 617, 614, 614, 619, 618, 617, 
##     618, 619, 622, 624, 626, 620, 620, 621, 603, 616, 617, 613, 
##     608, 614, 612, 612, 603, 606, 608, 617, 609, 611, 610, 615, 
##     611, 608, 610, 607, 600, 605, 603, 604, 601, 611, 602, 614, 
##     613, 610, 607, 613, 607, 606, 602, 608, 615, 608, 611, 603, 
##     609, 604, 607, 601, 609, 600, 606, 606, 605, 603, 608, 614, 
##     607, 604, 610, 612, 609, 612, 613, 601, 603, 611, 605, 606, 
##     612, 605, 610, 602, 606, 605, 606, 603, 604, 611, 611, 607, 
##     611, 607, 613, 612, 607, 611, 604, 611, 610, 614, 614, 615, 
##     613, 613, 608, 602, 610, 615, 605, 621, 603, 606, 607, 612, 
##     608, 599, 602, 604, 606, 613, 607, 604, 606, 610, 611, 609, 
##     607, 602, 606, 603, 602, 602, 596, 607, 603, 612, 607, 606, 
##     611, 615, 603, 600, 601, 601, 610, 604, 608, 606, 607, 608, 
##     609, 609, 608, 611, 608, 610, 609, 608, 605, 602, 610, 611, 
##     609, 607, 596, 608, 607, 609, 607, 596, 596, 599, 595, 596, 
##     599, 600, 600, 599, 599, 597, 602, 598, 589, 601, 602, 600, 
##     605, 602, 604, 598, 605, 602, 603, 600, 600, 606, 600, 598, 
##     596, 600, 605, 598, 598, 595, 597, 605, 601, 599, 601, 595, 
##     605, 591, 595, 599, 595, 597, 596, 598, 598, 600, 602, 598, 
##     604, 604, 599, 597, 604, 605, 601, 602, 602, 597, 604, 601, 
##     589, 604, 593, 596, 596, 601, 597, 596, 600, 596, 595, 601, 
##     595, 600, 597, 594, 597, 591, 600, 602, 599, 602, 600, 603, 
##     596, 598, 596, 601, 597, 597, 600, 603, 598, 601, 602, 599, 
##     602, 600, 605, 603, 607, 604, 602, 601, 604, 601, 600, 613, 
##     605, 595, 598, 595, 595, 599, 596, 600, 602, 607, 599, 600, 
##     603, 600, 599, 604, 601, 600, 603, 599, 603, 607, 603, 604, 
##     600, 602, 602, 602, 604, 606, 606, 605, 603, 603, 608, 597, 
##     598, 599, 600, 598, 602, 595, 600, 601, 601, 601, 604, 603, 
##     600, 600, 606, 599, 602, 604, 602, 600, 604, 602, 600, 599, 
##     606, 600, 600, 596, 596, 597, 604, 598, 599, 596, 595, 601, 
##     597, 600, 606, 595, 601, 593, 603, 594, 598, 599, 597, 601, 
##     599, 591, 601, 590, 600, 596, 599, 600, 601, 597, 603, 600, 
##     596, 595, 600, 598, 602, 601, 604, 598, 607, 599, 602, 599, 
##     597, 593, 596, 600, 602, 597, 591, 600, 603, 598, 600, 596, 
##     592, 597, 594, 597, 599, 606, 596, 591, 602, 596, 594, 599, 
##     595, 598, 600, 600, 595, 599, 594, 601, 602, 601, 598, 600, 
##     597, 599, 595, 594, 604, 600, 602, 603, 599, 600, 601, 604, 
##     599, 602, 601, 603, 602, 605, 605, 604, 588, 596, 603, 602, 
##     594, 605, 599, 605, 599, 599, 599, 601, 603, 602, 599, 599, 
##     604, 607, 599, 598, 597, 606, 595, 599, 604, 606, 599, 598, 
##     603, 598, 602, 597, 596, 608, 600, 600, 601, 601, 599, 606, 
##     601, 602, 599, 606, 602, 595, 601, 613, 602, 601, 601, 597, 
##     606, 607, 601, 604, 599, 604, 601, 601, 606, 606, 604, 638, 
##     639, 637, 635, 642, 636, 633, 641, 639, 633, 639, 631, 644, 
##     631, 635, 637, 636, 644, 642, 634, 634, 629, 629, 636, 631, 
##     632, 626, 626, 626, 623, 630, 623, 631, 621, 630, 628, 626, 
##     627, 625, 630, 628, 629, 629, 627, 633, 631, 635, 634, 632, 
##     628, 634, 630, 631, 627, 627, 632, 629, 626, 626, 628, 624, 
##     630, 629, 631, 632, 630, 629, 633, 627, 631, 631, 628, 624, 
##     631, 632, 625, 625, 633, 629, 630, 628, 620, 631, 628, 627, 
##     633, 630, 627, 631, 628, 631, 627, 630, 580, 615, 620, 619, 
##     654, 651, 657, 662, 659, 661, 663, 659, 655, 658, 643, 623, 
##     626, 611, 579, 478, 467, 459, 389, 374, 374, 369, 372, 379, 
##     386, 390, 390, 398, 429, 440, 449, 458, 473, 496, 498, 515, 
##     532, 533, 542, 561, 569, 629, 639, 644, 647, 655, 655, 659, 
##     665, 666, 669, 667, 661, 664, 663, 662, 667, 673, 664, 657, 
##     658, 650, 653, 636, 635, 616, 599, 594, 563, 559, 537, 542, 
##     476, 388, 389, 387, 383, 398, 398, 415, 421, 420, 435, 441, 
##     457, 454, 481, 487, 505, 499, 533, 559, 574, 586, 602, 604, 
##     617, 625, 661, 655, 660, 664, 662, 656, 661, 664, 648, 654, 
##     648, 635, 625, 612, 610, 599, 570, 554, 516, 501, 470, 439, 
##     433, 423, 418, 407, 588, 589, 584, 586, 584, 588, 584, 587, 
##     585, 583, 589, 585, 588, 586, 590, 594, 591, 593, 593, 597, 
##     591, 599, 591, 596, 593, 589, 589, 588, 582, 589, 590, 587, 
##     581, 589, 592, 581, 584, 591, 578, 587, 581, 582, 586, 577, 
##     582, 583, 579, 577, 580, 587, 579, 589, 585, 583, 584, 597, 
##     583, 590, 585, 591, 588, 587, 582, 587, 597, 593, 584, 593, 
##     584, 594, 591, 585, 589, 589, 593, 587, 594, 595, 590, 594, 
##     586, 585, 586, 595, 588, 589, 591, 597, 600, 599, 598, 604, 
##     606, 607, 607, 599, 603, 600, 604, 606, 601, 600, 598, 599, 
##     602, 605, 603, 600, 604, 598, 606, 607, 606, 609, 601, 603, 
##     604, 605, 605, 607, 599, 603, 601, 602, 604, 605, 608, 600, 
##     598, 601, 602, 598, 598, 603, 603, 603, 599, 607, 599, 607, 
##     604, 511, 513, 508, 508, 507, 500, 493, 499, 495, 497, 489, 
##     505, 501, 501, 495, 503, 500, 498, 502, 495, 499, 502, 498, 
##     502, 502, 498, 504, 495, 492, 497, 503, 495, 494, 501, 502, 
##     502, 497, 503, 500, 503, 501, 643, 635, 635, 579, 585, 589, 
##     597, 593, 601, 612, 608, 618, 616, 618, 599, 616, 610, 605, 
##     611, 610, 604, 607, 611, 617, 609, 612, 597, 590, 593, 585, 
##     575, 572, 565, 538, 532, 522, 519, 517, 509, 509, 503, 507, 
##     497, 495, 488, 486, 490, 493, 496, 492, 486, 490, 497, 499, 
##     523, 540, 550, 559, 565, 566, 571, 578, 580, 588, 596, 596, 
##     598, 604, 605, 608, 608, 616, 616, 620, 616, 616, 621, 609, 
##     612, 603, 600, 606, 601, 603, 597, 606, 613, 599, 607, 605, 
##     605, 611, 594, 600, 590, 589, 589, 595, 595, 589, 584, 599, 
##     589, 600, 598, 604, 606, 604, 607, 606, 603, 600, 602, 598, 
##     590, 581, 574, 567, 560, 550, 539, 540, 532, 527, 522, 517, 
##     514, 507, 495, 494, 480, 485, 477, 470, 467, 442, 440, 440, 
##     443, 440, 437, 437, 487, 486, 485, 485, 493, 489, 489, 479, 
##     484, 483, 488, 478, 601, 584, 591, 585, 581, 580, 576, 576, 
##     568, 564, 551, 552, 548, 549, 548, 543, 540, 537, 535, 537, 
##     542, 546, 547, 558, 554, 553, 557, 574, 569, 587, 599, 588, 
##     603, 617, 621, 622, 626, 628, 626, 630, 633, 627, 636, 626, 
##     633, 629, 631, 634, 630, 638, 629, 626, 628, 625, 631, 628, 
##     628, 626, 623, 612, 611, 605, 590, 579, 576, 573, 569, 549, 
##     550, 552, 540, 540, 541, 531, 535, 528, 528, 535, 529, 532, 
##     520, 515, 523, 522, 533, 528, 533, 539, 548, 548, 561, 578, 
##     584, 584, 588, 608, 615, 614, 618, 619, 615, 621, 623, 621, 
##     620, 630, 626, 626, 631, 629, 633, 635, 623, 631, 635, 624, 
##     626, 628, 630, 626, 621, 622, 610, 599, 583, 577, 581, 570, 
##     569, 569, 564, 562, 553, 550, 551, 551, 539, 541, 535, 544, 
##     547, 543, 548, 549, 551, 560, 565, 568, 589, 591, 592, 602, 
##     604, 605, 611, 615, 615, 612, 614, 626, 619, 624, 620, 624, 
##     624, 623, 619, 618, 627, 623, 539, 548, 553, 561, 566, 581, 
##     589, 595, 595, 594, 600, 602, 613, 607, 618, 623, 628, 625, 
##     631, 630, 627, 624, 612, 610, 598, 592, 597, 595, 547, 540, 
##     533, 534, 538, 536, 535, 534, 531, 532, 538, 533, 534, 545, 
##     553, 553, 555, 566, 569, 564, 576, 574, 583, 586, 588, 611, 
##     616, 615, 621, 621, 620, 622, 626, 622, 631, 628, 626, 620, 
##     622, 622, 624, 615, 605, 600, 606, 602, 589, 587, 584, 575, 
##     567, 566, 558, 550, 548, 549, 550, 543, 546, 547, 547, 626, 
##     631, 626, 625, 624, 624, 618, 630, 633, 624, 630, 617, 611, 
##     593, 596, 584, 584, 585, 579, 571, 566, 567, 560, 555, 549, 
##     548, 543, 543, 537, 534, 536, 533, 531, 529, 524, 521, 534, 
##     533, 535, 540, 550, 562, 574, 570, 582, 585, 589, 596, 598, 
##     607, 608, 609, 632, 644, 642, 631, 638, 643, 645, 642, 638, 
##     639, 636, 637, 634, 629, 629, 616, 622, 608, 601, 580, 571, 
##     562, 557, 530, 528, 515, 510, 513, 510, 516, 510, 516, 521, 
##     525, 539, 542, 545, 557, 570, 576, 577, 588, 586, 590, 599, 
##     601, 607, 613, 623, 623, 623, 628, 627, 621, 618, 619, 626, 
##     623, 629, 623, 620, 622, 615, 606, 611, 605, 604, 594, 586, 
##     590, 583, 580, 572, 572, 563, 564, 553, 544, 540, 539, 533, 
##     507, 508, 498, 489, 504, 499, 501, 508, 514, 514, 521, 521, 
##     532, 537, 547, 555, 567, 571, 579, 587, 594, 602, 602, 605, 
##     609, 610, 607, 615, 612, 609, 609, 617, 614, 613, 608, 613, 
##     608, 615, 611, 615, 618, 623, 611, 608, 616, 616, 613, 613, 
##     614, 618, 615, 614, 612, 616, 610, 617, 620, 609, 610, 607, 
##     610, 614, 601, 613, 619, 615, 608, 608, 615, 612, 607, 617, 
##     607, 608, 609, 610, 615, 608, 612, 612, 614, 604, 604, 613, 
##     604, 605, 604, 604, 605, 605, 606, 604, 610, 603, 611, 602, 
##     610, 599, 608, 598, 607, 607, 606, 600, 604, 607, 603, 598, 
##     604, 610, 604, 610, 601, 609, 606, 605, 601, 610, 599, 588, 
##     577, 588, 564, 562, 545, 519, 515, 507, 506, 502, 503, 502, 
##     489, 495, 479, 488, 477, 475, 482, 510, 522, 545, 557, 584, 
##     592, 600, 591, 599, 599, 599, 606, 592, 593, 598, 594, 582, 
##     581, 562, 551, 554, 549, 544, 521, 507, 501, 507, 502, 505, 
##     506, 508, 501, 498, 495, 508, 508, 518, 519, 525, 520, 536, 
##     540, 545, 565, 566, 583, 584, 588, 594, 595, 598, 593, 593, 
##     592, 591, 597, 590, 591, 586, 592, 594, 585, 583, 574, 583, 
##     569, 570, 566, 569, 553, 544, 532, 528, 519, 517, 514, 516, 
##     511, 501, 506, 500, 495, 493, 496, 513, 516, 539, 543, 547, 
##     552, 569, 580, 586, 584, 583, 601, 608, 611, 615, 620, 609, 
##     615, 608, 601, 602, 599, 614, 619, 617, 602, 597, 587, 568, 
##     563, 559, 554, 544, 532, 524, 516, 510, 490, 489, 484, 476, 
##     464, 459, 453, 455, 455, 457, 451, 456, 452, 457, 462, 464, 
##     476, 487, 505, 538, 557, 566, 572, 575, 587, 594, 599, 605, 
##     604, 605, 609, 612, 613, 608, 617, 614, 617, 616, 625, 618, 
##     619, 614, 618, 619, 610, 602, 603, 593, 575, 569, 565, 567, 
##     552, 543, 505, 511, 508, 495, 494, 494, 473, 475, 461, 457, 
##     454, 448, 454, 441, 434, 429, 447, 450, 455, 454, 459, 468, 
##     515, 535, 542, 546, 547, 546, 561, 556, 567, 575, 581, 587, 
##     591, 596, 597, 600, 600, 604, 611, 601, 620, 612, 619, 610, 
##     608, 609, 605, 600, 596, 595, 580, 572, 571, 564, 566, 559, 
##     551, 542, 539, 536, 521, 505, 504, 497, 499, 489, 488, 485, 
##     473, 471, 479, 467, 462, 467, 470, 462, 467, 467, 471, 474, 
##     469, 479, 489, 503, 507, 508, 520, 534, 535, 542, 543, 549, 
##     550, 551, 556, 559, 570, 572, 580, 577, 587, 591, 584, 591, 
##     599, 603, 599, 616, 604, 610, 597, 604, 607, 601, 599, 592, 
##     594, 593, 593, 589, 591, 586, 581, 572, 569, 568, 565, 566, 
##     559, 562, 565, 557, 541, 542, 540, 526, 519, 513, 491, 494, 
##     486, 475, 466, 460, 454, 451, 447, 448, 448, 448, 458, 468, 
##     458, 473, 484, 489, 499, 506, 508, 523, 548, 551, 570, 574, 
##     572, 581, 589, 596, 600, 619, 622, 624, 629, 627, 631, 631, 
##     631, 623, 625, 628, 624, 624, 627, 625, 616, 616, 615, 604, 
##     610, 597, 585, 579, 572, 561, 540, 539, 546, 532, 515, 515, 
##     495, 488, 482, 455, 450, 440, 438, 445, 437, 432, 440, 442, 
##     440, 446, 451, 451, 453, 467, 483, 486, 498, 515, 519, 528, 
##     533, 540, 550, 561, 561, 571, 583, 589, 590, 597, 609, 612, 
##     616, 620, 624, 615, 614, 613, 612, 599, 591, 597, 589, 583, 
##     574, 564, 560, 549, 540, 523, 517, 516, 512, 504, 495, 475, 
##     463, 461, 463, 452, 450, 439, 444, 431, 435, 423, 427, 421, 
##     423, 430, 430, 428, 429, 432, 437, 447, 445, 446, 456, 469, 
##     474, 486, 489, 493, 514, 514, 518, 523, 539, 551, 561, 571, 
##     582, 593, 606, 610, 611, 605, 615, 617, 627, 631, 631, 639, 
##     632, 620, 622, 618, 614, 616, 614, 599, 584, 583, 577, 572, 
##     565, 561, 554, 552, 552, 540, 527, 519, 508, 502, 486, 476, 
##     470, 453, 447, 449, 451, 448, 448, 444, 446, 453, 458, 463, 
##     467, 471, 482, 484, 499, 497, 513, 523, 535, 543, 549, 561, 
##     560, 590, 602, 603, 607, 620, 625, 624, 628, 627, 621, 623, 
##     625, 626, 619, 614, 620, 609, 615, 610, 613, 604, 596, 594, 
##     580, 581, 571, 576, 567, 440, 448, 454, 460, 456, 474, 474, 
##     482, 484, 492, 505, 507, 521, 535, 552, 573, 578, 586, 604, 
##     604, 605, 609, 618, 611, 617, 621, 616, 625, 629, 614, 615, 
##     614, 617, 617, 611, 618, 609, 598, 597, 588, 580, 583, 578, 
##     571, 564, 544, 536, 502, 480, 483, 474, 468, 451, 444, 453, 
##     440, 442, 436, 432, 447, 442, 443, 453, 452, 462, 460, 489, 
##     509, 532, 537, 545, 551, 551, 568, 574, 570, 576, 591, 600, 
##     591, 602, 599, 610, 608, 600, 605, 596, 601, 596, 594, 592, 
##     576, 580, 574, 568, 562, 568, 543, 526, 508, 498, 495, 492, 
##     485, 483, 475, 472, 473, 462, 454, 449, 452, 450, 449, 452, 
##     451, 446, 446, 444, 445, 453, 454, 456, 469, 475, 480, 488, 
##     520, 522, 565, 567, 571, 585, 590, 598, 613, 614, 614, 620, 
##     616, 617, 611, 614, 612, 618, 611, 608, 612, 618, 610, 613, 
##     613, 604, 607, 609, 610, 604, 605, 599, 601, 604, 594, 594, 
##     580, 587, 586, 590, 595, 588, 590, 580, 589, 580, 585, 586, 
##     598, 591, 597, 602, 597, 596, 586, 589, 598, 580, 585, 581, 
##     581, 584, 580, 581, 583, 583, 583, 583, 584, 586, 586, 586, 
##     586, 584, 585, 583, 592, 586, 584, 590, 585, 587, 587, 583, 
##     588, 592, 589, 586, 588, 586, 594, 591, 589, 592, 584, 597, 
##     591, 584, 593, 588, 587, 585, 592, 585, 586, 586, 586, 577, 
##     577, 577, 579, 572, 577, 577, 574, 566, 571, 572, 575, 572, 
##     575, 573, 572, 581, 586, 573, 580, 578, 572, 574, 568, 571, 
##     578, 575, 577, 570, 570, 571, 574, 571, 564, 570, 572, 575, 
##     572, 569, 575, 574, 564, 571, 571, 577, 577, 576, 577, 575, 
##     581, 583, 580, 578, 576, 577, 570, 569, 576, 571, 568, 571, 
##     574, 567, 574, 571, 569, 572, 569, 577, 574, 572, 563, 578, 
##     576, 570, 568, 571, 568, 579, 574, 577, 570, 574, 574, 573, 
##     569, 568, 568, 569, 575, 570, 569, 575, 575, 575, 571, 565, 
##     567, 572, 575, 569, 570, 575, 575, 572, 564, 566, 567, 570, 
##     565, 572, 573, 573, 569, 570, 577, 575, 574, 568, 568, 576, 
##     577, 572, 578, 573, 565, 574, 575, 570, 570, 570, 578, 573, 
##     573, 575, 576, 581, 582, 578, 581, 579, 578, 572, 569, 571, 
##     573, 571, 570, 570, 567, 567, 567, 564, 568, 565, 566, 565, 
##     565, 564, 572, 566, 569, 572, 569, 575, 574, 570, 572, 570, 
##     567, 567, 575, 575, 571, 574, 583, 576, 573, 583, 574, 579, 
##     578, 572, 562, 568, 572, 564, 572, 571, 579, 568, 572, 568, 
##     569, 568, 566, 572, 573, 566, 567, 570, 570, 572, 571, 571, 
##     570, 568, 570, 571, 567, 569, 566, 565, 581, 575, 575, 576, 
##     577, 569, 577, 578, 571, 576, 573, 572, 574, 578, 572, 575, 
##     571, 570, 570, 570, 570, 578, 568, 575, 570, 569, 571, 575, 
##     572, 573, 572, 578, 576, 569, 569, 567, 573, 569, 576, 575, 
##     574, 577, 578, 580, 577, 575, 581, 584, 581, 575, 580, 571, 
##     581, 576, 568, 573, 575, 575, 573, 574, 569, 573, 576, 571, 
##     573, 575, 580, 573, 566, 570, 570, 567, 565, 571, 572, 576, 
##     577, 575, 573, 568, 580, 581, 575, 571, 572, 573, 568, 570, 
##     576, 570, 571, 575, 577, 571, 581, 582, 574, 582, 582, 574, 
##     582, 581, 578, 580, 572, 576, 572, 578, 574, 575, 570, 576, 
##     578, 574, 566, 566, 571, 571, 570, 573, 572, 571, 572, 574, 
##     568, 573, 574, 582, 578, 574, 579, 582, 572, 573, 580, 574, 
##     580, 573, 576, 577, 581, 587, 576, 580, 576, 580, 574, 580, 
##     577, 579, 575, 584, 571, 578, 568, 579, 578, 575, 574, 577, 
##     581, 576, 570, 570, 567, 568, 570, 571, 574, 567, 580, 576, 
##     575, 578, 569, 570, 575, 571, 569, 578, 575, 577, 580, 576, 
##     578, 570, 571, 565, 574, 574, 576, 574, 570, 575, 585, 585, 
##     586, 582, 582, 583, 588, 583, 582, 582, 565, 557, 561, 559, 
##     547, 551, 548, 544, 546, 538, 535, 529, 633, 639, 633, 635, 
##     633, 641, 632, 641, 637, 631, 633, 636, 634, 638, 629, 636, 
##     635, 636, 631, 632, 633, 641, 634, 628, 637, 635, 639, 635, 
##     633, 634, 634, 633, 640, 634, 628, 632, 631, 631, 627, 632, 
##     634, 635, 638, 636, 636, 629, 627, 623, 619, 603, 599, 586, 
##     588, 575, 572, 567, 559, 562, 570, 581, 582, 584, 595, 596, 
##     623, 637, 636, 641, 649, 643, 642, 641, 649, 646, 651, 639, 
##     638, 647, 634, 630, 625, 622, 609, 585, 583, 565, 568, 563, 
##     564, 550, 555, 553, 550, 555, 555, 561, 560, 559, 562, 561, 
##     568, 576, 584, 604, 626, 628, 631, 632, 634, 632, 636, 640, 
##     632, 633, 633, 636, 636, 634, 632, 621, 633, 615, 611, 596, 
##     582, 570, 556, 559, 548, 550, 552, 555, 550, 551, 550, 554, 
##     562, 570, 584, 590, 600, 620, 614, 624, 636, 635, 637, 638, 
##     642, 638, 630, 641, 639, 636, 627, 629, 624, 629, 622, 618, 
##     606, 599, 592, 574, 568, 567, 548, 543, 538, 546, 555, 564, 
##     578, 585, 585, 610, 606, 612, 626, 631, 635, 631, 623, 636, 
##     627, 628, 630, 628, 629, 622, 615, 622, 616, 616, 589, 549, 
##     540, 534, 539, 541, 538, 538, 544, 545, 562, 595, 609, 617, 
##     629, 633, 633, 637, 631, 641, 633, 636, 634, 632, 633, 629, 
##     637, 635, 630, 635, 631, 630, 621, 629, 627, 617, 621, 616, 
##     611, 605, 604, 587, 583, 572, 570, 554, 546, 559, 544, 544, 
##     549, 543, 545, 541, 552, 550, 568, 579, 607, 614, 621, 621, 
##     620, 627, 635, 636, 642, 633, 640, 644, 635, 645, 633, 634, 
##     629, 629, 634, 630, 623, 622, 609, 598, 595, 588, 587, 569, 
##     559, 550, 552, 546, 547, 554, 559, 570, 577, 574, 584, 602, 
##     603, 616, 616, 622, 630, 633, 646, 636, 642, 639, 635, 640, 
##     636, 636, 635, 643, 640, 633, 635, 637, 637, 630, 634, 628, 
##     618, 614, 610, 602, 595, 584, 577, 579, 575, 584, 587, 592, 
##     588, 595, 600, 606, 616, 621, 622, 627, 632, 639, 638, 641, 
##     633, 639, 637, 641, 631, 633, 634, 632, 639, 634, 637, 633, 
##     634, 633, 630, 638, 636, 635, 638, 634, 638, 630, 631, 640, 
##     635, 634, 634, 644, 640, 626, 641, 632, 631, 631, 631, 631, 
##     639, 634, 642, 630, 638, 644, 639, 637, 637, 642, 645, 638, 
##     634, 640, 642, 641, 627, 631, 632, 634, 635, 634, 633, 636, 
##     633, 636, 632, 607, 611, 609, 599, 605, 605, 599, 595, 601, 
##     591, 589, 585, 582, 563, 553, 552, 545, 537, 540, 534, 533, 
##     524, 524, 526, 520, 522, 515, 504, 502, 509, 503, 502, 498, 
##     496, 499, 491, 492, 500, 501, 499, 510, 520, 528, 527, 534, 
##     540, 547, 560, 564, 572, 575, 582, 585, 585, 603, 604, 606, 
##     614, 615, 615, 621, 621, 619, 629, 624, 624, 625, 623, 626, 
##     623, 622, 613, 615, 623, 618, 611, 613, 611, 600, 604, 598, 
##     588, 561, 556, 549, 534, 529, 523, 520, 513, 503, 507, 504, 
##     498, 495, 493, 493, 490, 484, 495, 481, 485, 485, 487, 499, 
##     502, 506, 510, 513, 526, 537, 554, 575, 579, 589, 599, 594, 
##     600, 599, 608, 605, 609, 608, 610, 615, 617, 622, 617, 613, 
##     606, 610, 607, 606, 600, 604, 598, 599, 598, 591, 590, 583, 
##     583, 567, 558, 561, 550, 553, 536, 526, 518, 515, 510, 507, 
##     508, 505, 507, 503, 502, 506, 510, 503, 506, 513, 511, 513, 
##     529, 535, 547, 559, 563, 564, 566, 583, 578, 584, 585, 592, 
##     598, 596, 610, 613, 607, 615, 615, 610, 614, 616, 616, 612, 
##     613, 616, 610, 602, 600, 600, 593, 591, 581, 581, 585, 565, 
##     564, 566, 555, 563, 554, 539, 533, 528, 522, 524, 518, 522, 
##     515, 519, 511, 506, 503, 510, 493, 495, 495, 494, 497, 505, 
##     502, 505, 522, 525, 531, 538, 552, 561, 574, 579, 585, 589, 
##     592, 602, 608, 570, 564, 550, 545, 547, 535, 523, 507, 508, 
##     511, 503, 502, 492, 492, 497, 504, 500, 504, 499, 504, 504, 
##     506, 518, 521, 521, 523, 531, 528, 563, 586, 585, 592, 600, 
##     614, 616, 610, 623, 624, 623, 625, 627, 615, 615, 612, 606, 
##     599, 599, 592, 585, 595, 588, 587, 576, 565, 575, 574, 574, 
##     566, 540, 535, 515, 514, 508, 501, 505, 500, 502, 499, 494, 
##     498, 501, 498, 501, 508, 502, 507, 513, 507, 510, 516, 518, 
##     520, 528, 528, 539, 544, 557, 588, 586, 586, 583, 589, 570, 
##     551, 543, 547, 534, 528, 524, 518, 519, 510, 502, 506, 503, 
##     499, 493, 490, 489, 489, 490, 502, 490, 496, 501, 510, 525, 
##     532, 537, 547, 551, 561, 560, 582, 591, 590, 601, 597, 599, 
##     612, 619, 612, 610, 614, 613, 612, 610, 606, 607, 599, 599, 
##     598, 598, 592, 590, 580, 591, 569, 560, 554, 545, 538, 531, 
##     522, 515, 515, 505, 511, 501, 487, 493, 488, 486, 481, 478, 
##     481, 472, 475, 475, 486, 482, 482, 497, 499, 508, 511, 515, 
##     521, 540, 542, 544, 548, 611, 613, 610, 603, 603, 602, 600, 
##     596, 583, 591, 583, 569, 536, 543, 512, 502, 500, 502, 501, 
##     501, 498, 500, 559, 568, 578, 576, 582, 588, 595, 596, 593, 
##     601, 599, 605, 604, 604, 608, 610, 611, 610, 577, 582, 585, 
##     586, 605, 599, 607, 609, 608, 608, 612, 626, 620, 614, 613, 
##     623, 608, 611, 607, 606, 609, 605, 605, 604, 606, 599, 592, 
##     606, 611, 609, 609, 613, 615, 616, 606, 614, 616, 604, 599, 
##     600, 601, 599, 600, 599, 600, 595, 595, 520, 531, 539, 549, 
##     558, 567, 575, 573, 570, 571, 578, 574, 581, 580, 580, 586, 
##     583, 584, 577, 587, 581, 573, 561, 553, 534, 526, 513, 504, 
##     507, 497, 495, 489, 479, 486, 569, 544, 542, 526, 517, 515, 
##     510, 496, 490, 485, 482, 479, 478, 470, 477, 484, 485, 483, 
##     491, 497, 501, 521, 521, 530, 534, 556, 557, 566, 576, 574, 
##     574, 578, 590, 589, 595, 596, 586, 586, 583, 591, 578, 582, 
##     582, 581, 569, 570, 575, 560, 559, 544, 550, 539, 528, 522, 
##     514, 501, 498, 492, 484, 482, 478, 484, 485, 484, 497, 495, 
##     496, 514, 511, 528, 525, 531, 538, 549, 554, 557, 580, 582, 
##     585, 586, 587, 587, 595, 591, 598, 598, 598, 595, 591, 586, 
##     575, 584, 568, 560, 525, 506, 503, 505, 491, 485, 480, 585, 
##     582, 578, 570, 568, 550, 542, 534, 524, 526, 513, 500, 501, 
##     494, 490, 489, 485, 477, 479, 473, 479, 471, 581, 577, 586, 
##     584, 575, 572, 567, 570, 561, 564, 549, 532, 536, 529, 518, 
##     524, 514, 510, 512, 499, 498, 489, 492, 490, 477, 479, 476, 
##     471, 464, 485, 488, 504, 514, 526, 531, 535, 567, 568, 577, 
##     574, 578, 587, 583, 584, 585, 585, 539, 530, 537, 542, 545, 
##     545, 548, 543, 540, 547, 548, 542, 549, 548, 543, 549, 551, 
##     547, 554, 551, 554, 553, 559, 557, 553, 550, 553, 553, 553, 
##     552, 550, 558, 553, 552, 551, 558, 557, 556, 552, 551, 643, 
##     631, 643, 634, 634, 641, 639, 641, 634, 633, 644, 630, 633, 
##     641, 638, 633, 632, 634, 640, 633, 634, 634, 633, 639, 637, 
##     634, 631, 636, 639, 633, 632, 642, 638, 642, 639, 642, 634, 
##     637, 640, 634, 629, 639, 635, 641, 637, 640, 631, 640, 637, 
##     640, 574, 562, 555, 535, 512, 486, 475, 466, 452, 452, 429, 
##     428, 423, 426, 424, 430, 424, 426, 431, 424, 438, 630, 634, 
##     634, 635, 638, 640, 631, 637, 632, 633, 632, 642, 631, 644, 
##     640, 640, 638, 634, 633, 633, 633, 638, 634, 633, 634, 633, 
##     624, 634, 626, 630, 629, 633, 629, 610, 591, 581, 579, 570, 
##     577, 569, 571, 567, 568, 568, 576, 574, 583, 581, 589, 603, 
##     606, 634, 624, 624, 608, 607, 601, 590, 584, 587, 584, 585, 
##     584, 585, 585, 584, 581, 584, 578, 579, 584, 596, 608, 617, 
##     630, 628, 630, 633, 632, 628, 627, 636, 633, 635, 635, 636, 
##     637, 640, 638, 633, 636, 641, 637, 633, 634, 634, 633, 637, 
##     635, 638, 636, 635, 634, 630, 628, 634, 574, 574, 577, 575, 
##     575, 576, 576, 571, 574, 573, 578, 571, 573, 572, 573, 579, 
##     572, 569, 575, 571, 571, 575, 576, 571, 574, 575, 572, 569, 
##     573, 576, 578, 577, 582, 577, 582, 581, 577, 574, 580, 578, 
##     573, 572, 573, 578, 575, 572, 574, 570, 563, 566, 565, 569, 
##     566, 566, 567, 569, 565, 569, 567, 562, 576, 567, 571, 572, 
##     571, 574, 570, 582, 574, 569, 569, 568, 582, 580, 573, 562, 
##     561, 543, 541, 535, 539, 539, 538, 541, 537, 544, 547, 535, 
##     538, 539, 543, 534, 540, 542, 535, 538, 545, 541, 539, 542, 
##     540, 539, 468, 471, 480, 483, 487, 495, 505, 519, 521, 528, 
##     532, 543, 544, 566, 574, 574, 577, 573, 583, 583, 584, 579, 
##     578, 477, 477, 470, 474, 477, 479, 498, 506, 514, 521, 520, 
##     532, 550, 581, 595, 589, 608, 608, 609, 602, 596, 591, 490, 
##     493, 488, 491, 502, 504, 513, 516, 529, 537, 545, 559, 565, 
##     567, 576, 575, 580, 583, 582, 583, 590, 578, 586, 585, 583, 
##     582, 595, 591, 583, 576, 570, 559, 551, 547, 535, 532, 529, 
##     525, 513, 510, 504, 503, 496, 488, 486, 485, 487, 481, 494, 
##     490, 552, 541, 532, 529, 525, 523, 515, 513, 524, 527, 539, 
##     536, 555, 580, 581, 586, 602, 591, 594, 605, 601, 607, 617, 
##     611, 612, 611, 617, 618, 624, 624, 624, 626, 626, 627, 622, 
##     628, 623, 627, 622, 619, 628, 616, 616, 606, 602, 591, 589, 
##     585, 582, 576, 562, 542, 554, 553, 563, 571, 586, 585, 589, 
##     587, 597, 598, 604, 607, 610, 619, 615, 626, 626, 622, 624, 
##     633, 627, 625, 624, 612, 625, 617, 612, 617, 618, 608, 585, 
##     581, 581, 571, 570, 563, 554, 549, 545, 551, 545, 540, 538, 
##     545, 536, 537, 537, 533, 541, 440, 441, 442, 440, 454, 463, 
##     462, 471, 491, 487, 488, 489, 498, 502, 502, 501, 509, 516, 
##     518, 528, 540, 552, 558, 560, 565, 566), magnet_belt_z = c(-313, 
##     -311, -305, -310, -302, -312, -311, -313, -312, -308, -317, 
##     -319, -309, -310, -310, -305, -317, -316, -313, -314, -304, 
##     -313, -311, -318, -319, -312, -320, -317, -320, -308, -308, 
##     -315, -316, -315, -301, -319, -317, -316, -319, -313, -301, 
##     -310, -317, -316, -310, -309, -318, -312, -317, -316, -311, 
##     -312, -311, -316, -292, -313, -304, -306, -314, -304, -314, 
##     -314, -312, -310, -319, -302, -317, -295, -302, -313, -302, 
##     -308, -314, -310, -308, -309, -315, -312, -304, -312, -296, 
##     -313, -313, -307, -309, -306, -295, -311, -316, -316, -298, 
##     -314, -316, -295, -312, -296, -308, -311, -299, -308, -298, 
##     -304, -313, -296, -311, -311, -299, -308, -310, -309, -305, 
##     -306, -311, -293, -309, -312, -306, -312, -309, -306, -295, 
##     -297, -289, -311, -296, -310, -306, -306, -307, -306, -300, 
##     -318, -318, -317, -312, -303, -303, -320, -311, -313, -307, 
##     -311, -292, -316, -315, -313, -312, -312, -310, -304, -309, 
##     -308, -308, -295, -307, -305, -303, -304, -304, -301, -302, 
##     -307, -293, -309, -303, -414, -410, -393, -412, -409, -401, 
##     -402, -407, -402, -400, -392, -409, -400, -405, -400, -400, 
##     -408, -392, -407, -404, -399, -384, -404, -390, -395, -400, 
##     -399, -388, -400, -400, -401, -388, -400, -405, -401, -390, 
##     -408, -387, -400, -398, -405, -399, -407, -405, -395, -404, 
##     -387, -406, -399, -387, -388, -389, -400, -405, -400, -408, 
##     -401, -399, -402, -411, -398, -395, -392, -399, -399, -404, 
##     -402, -399, -400, -404, -401, -387, -401, -398, -401, -401, 
##     -391, -401, -396, -399, -405, -397, -401, -405, -397, -386, 
##     -396, -398, -392, -394, -382, -392, -394, -393, -397, -398, 
##     -388, -399, -381, -386, -400, -396, -398, -395, -395, -397, 
##     -392, -399, -396, -392, -389, -385, -399, -385, -389, -391, 
##     -395, -392, -371, -392, -393, -396, -387, -387, -387, -389, 
##     -386, -394, -390, -387, -384, -383, -391, -378, -383, -387, 
##     -388, -394, -386, -392, -383, -397, -393, -386, -388, -385, 
##     -366, -377, -372, -381, -382, -373, -375, -368, -378, -383, 
##     -364, -380, -383, -377, -381, -383, -378, -382, -385, -382, 
##     -374, -390, -386, -387, -380, -372, -381, -369, -372, -378, 
##     -379, -381, -376, -378, -373, -372, -378, -378, -381, -382, 
##     -380, -382, -380, -387, -388, -370, -387, -388, -381, -375, 
##     -387, -382, -383, -383, -388, -380, -365, -384, -381, -383, 
##     -366, -377, -364, -375, -375, -375, -369, -376, -380, -371, 
##     -382, -382, -370, -384, -382, -384, -386, -380, -385, -385, 
##     -385, -382, -384, -383, -387, -385, -388, -382, -382, -381, 
##     -368, -383, -381, -375, -383, -376, -379, -383, -375, -384, 
##     -387, -382, -371, -381, -367, -361, -379, -367, -382, -368, 
##     -376, -379, -370, -370, -367, -384, -375, -380, -378, -371, 
##     -382, -373, -375, -380, -375, -357, -375, -377, -363, -372, 
##     -366, -368, -379, -378, -376, -375, -376, -381, -382, -380, 
##     -366, -358, -369, -375, -372, -378, -380, -379, -380, -382, 
##     -361, -376, -368, -380, -373, -379, -374, -380, -365, -370, 
##     -361, -368, -372, -361, -373, -381, -381, -376, -380, -379, 
##     -360, -381, -383, -379, -383, -380, -384, -359, -384, -382, 
##     -380, -365, -378, -366, -375, -376, -364, -359, -377, -374, 
##     -383, -377, -370, -372, -381, -378, -378, -369, -383, -385, 
##     -381, -387, -379, -381, -380, -374, -381, -390, -380, -385, 
##     -380, -374, -374, -375, -377, -376, -369, -358, -372, -379, 
##     -375, -371, -375, -368, -374, -375, -361, -376, -373, -360, 
##     -375, -376, -375, -375, -378, -358, -379, -370, -362, -370, 
##     -371, -368, -366, -375, -375, -370, -358, -366, -355, -360, 
##     -373, -367, -364, -370, -381, -374, -373, -371, -369, -377, 
##     -371, -356, -355, -371, -371, -357, -370, -376, -370, -370, 
##     -371, -370, -358, -376, -366, -370, -378, -376, -369, -381, 
##     -374, -367, -374, -371, -368, -372, -362, -371, -376, -369, 
##     -360, -366, -374, -370, -368, -371, -376, -380, -365, -370, 
##     -372, -361, -377, -361, -368, -369, -376, -379, -375, -376, 
##     -364, -377, -384, -383, -379, -378, -377, -380, -372, -367, 
##     -375, -372, -374, -371, -373, -372, -353, -374, -373, -367, 
##     -361, -375, -373, -362, -369, -372, -374, -380, -373, -370, 
##     -368, -377, -376, -365, -360, -381, -375, -373, -374, -381, 
##     -381, -373, -377, -379, -381, -366, -370, -384, -370, -382, 
##     -379, -381, -385, -378, -383, -377, -370, -388, -391, -371, 
##     -382, -382, -382, -382, -381, -386, -388, -385, -385, -385, 
##     -386, -381, -338, -341, -336, -341, -345, -327, -332, -348, 
##     -351, -353, -351, -350, -357, -358, -352, -351, -352, -358, 
##     -347, -350, -361, -355, -360, -364, -363, -361, -358, -352, 
##     -374, -369, -347, -369, -369, -365, -365, -371, -363, -368, 
##     -370, -353, -367, -368, -365, -351, -368, -367, -361, -364, 
##     -356, -371, -357, -359, -367, -358, -360, -362, -364, -365, 
##     -347, -365, -366, -361, -357, -366, -357, -352, -352, -359, 
##     -356, -360, -363, -356, -341, -360, -354, -355, -342, -362, 
##     -350, -354, -360, -359, -359, -353, -358, -355, -343, -339, 
##     -350, -356, -347, -353, -358, -355, -352, -351, -354, -352, 
##     -347, -334, -340, -347, -332, -351, -349, -348, -355, -342, 
##     -352, -337, -344, -342, -344, -342, -339, -350, -330, -345, 
##     -343, -348, -345, -346, -343, -349, -343, -350, -345, -348, 
##     -337, -331, -344, -351, -343, -336, -340, -348, -336, -339, 
##     -348, -350, -348, -351, -345, -334, -348, -348, -344, -353, 
##     -351, -330, -328, -354, -341, -343, -335, -344, -344, -354, 
##     -343, -344, -339, -343, -345, -343, -344, -342, -342, -347, 
##     -332, -351, -344, -337, -341, -341, -349, -345, -349, -336, 
##     -339, -347, -337, -346, -337, -333, -341, -346, -344, -338, 
##     -346, -339, -342, -332, -348, -338, -337, -338, -344, -343, 
##     -340, -343, -337, -324, -348, -330, -338, -338, -338, -339, 
##     -327, -327, -337, -335, -338, -339, -324, -340, -333, -332, 
##     -329, -332, -316, -333, -318, -325, -320, -326, -326, -319, 
##     -322, -323, -327, -330, -336, -335, -327, -335, -335, -336, 
##     -335, -322, -338, -338, -337, -338, -325, -332, -340, -334, 
##     -334, -336, -334, -327, -330, -337, -336, -313, -328, -320, 
##     -328, -332, -325, -328, -326, -327, -317, -319, -319, -321, 
##     -320, -319, -322, -320, -321, -320, -317, -315, -347, -339, 
##     -324, -349, -344, -343, -342, -343, -332, -343, -346, -347, 
##     -344, -344, -340, -344, -326, -337, -324, -301, -314, -319, 
##     -319, -318, -316, -317, -320, -314, -320, -304, -307, -313, 
##     -308, -308, -309, -299, -303, -320, -319, -320, -310, -324, 
##     -311, -320, -328, -322, -328, -323, -330, -329, -329, -327, 
##     -321, -332, -338, -329, -336, -334, -338, -328, -321, -335, 
##     -335, -340, -341, -345, -341, -326, -344, -343, -334, -340, 
##     -340, -336, -342, -343, -344, -331, -346, -339, -335, -335, 
##     -333, -335, -336, -337, -311, -331, -330, -322, -325, -320, 
##     -312, -320, -331, -327, -344, -338, -327, -349, -363, -354, 
##     -360, -360, -362, -364, -356, -361, -363, -343, -359, -346, 
##     -352, -345, -333, -328, -323, -321, -324, -315, -304, -304, 
##     -299, -294, -291, -296, -289, -279, -294, -284, -285, -297, 
##     -292, -291, -298, -300, -292, -284, -295, -297, -300, -292, 
##     -301, -299, -295, -302, -309, -301, -290, -300, -300, -297, 
##     -303, -292, -301, -293, -294, -279, -296, -287, -298, -300, 
##     -295, -293, -299, -300, -299, -299, -299, -296, -301, -298, 
##     -305, -299, -302, -296, -301, -294, -297, -305, -296, -303, 
##     -310, -300, -293, -310, -306, -300, -303, -302, -300, -305, 
##     -299, -303, -306, -313, -304, -309, -305, -298, -299, -298, 
##     -301, -296, -297, -300, -298, -294, -292, -300, -310, -307, 
##     -299, -311, -298, -302, -294, -297, -300, -299, -295, -296, 
##     -296, -284, -303, -286, -305, -306, -285, -297, -303, -298, 
##     -300, -287, -300, -298, -303, -296, -299, -300, -306, -286, 
##     -294, -287, -299, -287, -306, -299, -299, -301, -301, -293, 
##     -301, -286, -292, -288, -296, -302, -294, -286, -302, -301, 
##     -308, -304, -302, -295, -306, -305, -309, -293, -303, -306, 
##     -304, -310, -303, -312, -309, -305, -302, -295, -305, -302, 
##     -306, -300, -296, -315, -300, -293, -302, -307, -303, -295, 
##     -294, -302, -294, -299, -291, -300, -306, -310, -300, -294, 
##     -302, -304, -304, -303, -304, -299, -302, -298, -296, -294, 
##     -311, -312, -304, -295, -288, -308, -305, -302, -307, -305, 
##     -302, -294, -303, -305, -295, -294, -296, -301, -308, -300, 
##     -304, -301, -289, -306, -302, -281, -296, -302, -304, -301, 
##     -285, -295, -301, -285, -290, -292, -303, -291, -298, -304, 
##     -300, -294, -301, -308, -303, -294, -292, -285, -292, -301, 
##     -304, -288, -295, -304, -296, -296, -301, -306, -305, -306, 
##     -290, -302, -306, -303, -299, -303, -304, -307, -300, -305, 
##     -302, -303, -294, -307, -308, -312, -313, -310, -294, -302, 
##     -301, -307, -307, -300, -299, -303, -304, -301, -302, -284, 
##     -297, -302, -296, -301, -287, -293, -305, -309, -293, -302, 
##     -306, -300, -301, -294, -312, -303, -295, -292, -306, -301, 
##     -297, -304, -303, -306, -298, -304, -303, -305, -286, -303, 
##     -305, -294, -303, -306, -294, -301, -306, -303, -306, -305, 
##     -288, -308, -287, -306, -288, -290, -304, -293, -293, -301, 
##     -301, -305, -301, -310, -303, -306, -311, -304, -301, -313, 
##     -315, -305, -305, -295, -305, -307, -311, -309, -301, -306, 
##     -304, -307, -304, -304, -295, -304, -297, -296, -303, -311, 
##     -303, -305, -304, -307, -306, -304, -296, -305, -304, -306, 
##     -298, -300, -300, -303, -303, -295, -299, -303, -302, -301, 
##     -303, -301, -304, -304, -305, -283, -294, -291, -292, -297, 
##     -306, -306, -306, -303, -304, -290, -303, -291, -297, -293, 
##     -294, -304, -300, -304, -302, -308, -310, -311, -303, -308, 
##     -312, -297, -304, -316, -306, -295, -305, -305, -301, -302, 
##     -305, -311, -306, -311, -303, -308, -311, -294, -309, -287, 
##     -312, -303, -313, -302, -293, -311, -292, -299, -296, -305, 
##     -303, -303, -312, -289, -298, -302, -308, -301, -307, -300, 
##     -286, -300, -305, -301, -289, -313, -310, -296, -303, -299, 
##     -294, -305, -306, -303, -295, -292, -306, -302, -307, -302, 
##     -307, -309, -301, -298, -297, -299, -288, -297, -304, -299, 
##     -296, -293, -288, -288, -286, -300, -310, -300, -300, -286, 
##     -304, -297, -296, -303, -301, -288, -306, -302, -306, -305, 
##     -297, -302, -312, -305, -306, -306, -308, -298, -305, -304, 
##     -302, -292, -313, -304, -290, -292, -301, -306, -306, -304, 
##     -309, -313, -304, -304, -312, -303, -302, -307, -292, -424, 
##     -425, -416, -424, -405, -413, -421, -416, -405, -419, -412, 
##     -424, -423, -403, -413, -418, -419, -418, -418, -416, -406, 
##     -410, -422, -426, -416, -429, -418, -416, -424, -425, -424, 
##     -425, -425, -429, -432, -424, -418, -409, -425, -430, -419, 
##     -411, -412, -421, -423, -420, -418, -425, -425, -417, -416, 
##     -406, -420, -409, -420, -424, -426, -420, -423, -408, -414, 
##     -417, -423, -425, -416, -424, -423, -427, -431, -432, -410, 
##     -429, -418, -424, -417, -420, -430, -424, -425, -425, -423, 
##     -420, -426, -421, -415, -422, -422, -410, -425, -428, -423, 
##     -429, -428, -415, -419, -416, -407, -422, -425, -427, -429, 
##     -432, -434, -430, -430, -429, -430, -426, -430, -425, -433, 
##     -419, -401, -409, -419, -417, -410, -411, -423, -414, -423, 
##     -416, -424, -425, -430, -428, -425, -429, -429, -439, -432, 
##     -434, -429, -430, -432, -431, -427, -433, -431, -417, -431, 
##     -429, -431, -427, -427, -428, -428, -420, -427, -427, -411, 
##     -409, -419, -423, -423, -427, -418, -413, -409, -428, -422, 
##     -425, -428, -428, -429, -429, -434, -427, -429, -436, -433, 
##     -422, -430, -427, -433, -439, -422, -433, -430, -431, -430, 
##     -430, -415, -423, -425, -425, -431, -428, -420, -428, -411, 
##     -424, -428, -431, -423, -416, -429, -430, -433, -427, -425, 
##     -420, -425, -433, -424, -432, -416, -417, -435, -421, -420, 
##     -430, -416, -418, -424, -413, -418, -423, -420, -411, -419, 
##     -420, -416, -417, -423, -415, -417, -419, -424, -420, -416, 
##     -421, -417, -415, -410, -424, -425, -430, -428, -415, -424, 
##     -435, -428, -431, -431, -419, -428, -427, -420, -419, -427, 
##     -408, -415, -431, -421, -426, -410, -410, -419, -419, -425, 
##     -423, -427, -422, -433, -431, -426, -428, -417, -426, -431, 
##     -428, -416, -424, -426, -424, -422, -422, -424, -416, -420, 
##     -434, -425, -427, -434, -431, -423, -419, -423, -416, -429, 
##     -420, -436, -429, -423, -431, -430, -424, -428, -412, -428, 
##     -427, -420, -415, -417, -426, -420, -421, -415, -422, -429, 
##     -422, -416, -425, -424, -419, -421, -431, -423, -423, -418, 
##     -432, -426, -423, -425, -410, -425, -433, -434, -430, -430, 
##     -423, -425, -417, -418, -439, -435, -435, -434, -432, -424, 
##     -432, -427, -428, -428, -428, -429, -425, -412, -412, -416, 
##     -430, -429, -428, -410, -427, -435, -414, -431, -426, -439, 
##     -425, -433, -429, -434, -419, -430, -423, -440, -435, -433, 
##     -438, -434, -425, -430, -425, -412, -428, -418, -408, -419, 
##     -426, -422, -423, -429, -421, -425, -417, -423, -414, -422, 
##     -418, -424, -425, -435, -435, -426, -427, -429, -431, -416, 
##     -429, -427, -426, -426, -430, -420, -431, -421, -416, -425, 
##     -419, -413, -422, -421, -427, -413, -424, -422, -425, -431, 
##     -430, -431, -430, -435, -437, -434, -430, -439, -431, -430, 
##     -435, -431, -438, -428, -420, -422, -428, -430, -429, -426, 
##     -432, -421, -426, -425, -423, -411, -425, -424, -423, -421, 
##     -421, -418, -408, -422, -408, -423, -419, -424, -422, -422, 
##     -428, -421, -412, -409, -410, -420, -422, -417, -422, -420, 
##     -411, -422, -416, -418, -427, -423, -419, -424, -415, -423, 
##     -424, -423, -425, -424, -426, -420, -421, -423, -411, -424, 
##     -418, -426, -422, -412, -424, -430, -421, -426, -422, -424, 
##     -429, -423, -430, -427, -424, -432, -431, -409, -424, -429, 
##     -425, -428, -431, -431, -423, -419, -432, -432, -433, -431, 
##     -428, -435, -420, -433, -432, -428, -421, -435, -430, -432, 
##     -426, -422, -421, -428, -425, -429, -430, -433, -433, -438, 
##     -439, -428, -424, -431, -441, -433, -441, -438, -439, -441, 
##     -438, -436, -427, -435, -441, -433, -438, -438, -432, -428, 
##     -424, -430, -425, -427, -426, -423, -420, -428, -436, -429, 
##     -439, -437, -438, -440, -431, -434, -433, -441, -435, -434, 
##     -440, -425, -437, -429, -427, -437, -425, -429, -440, -430, 
##     -426, -417, -417, -430, -434, -412, -431, -431, -426, -302, 
##     -294, -304, -307, -307, -312, -307, -310, -305, -306, -299, 
##     -308, -307, -309, -299, -294, -305, -302, -308, -307, -306, 
##     -302, -306, -303, -296, -310, -312, -307, -310, -306, -310, 
##     -307, -296, -316, -302, -315, -303, -304, -306, -312, -294, 
##     -302, -310, -308, -311, -310, -307, -310, -308, -313, -304, 
##     -307, -316, -309, -318, -290, -308, -310, -305, -320, -301, 
##     -312, -309, -315, -309, -309, -292, -309, -309, -301, -307, 
##     -307, -305, -297, -313, -317, -307, -309, -307, -307, -306, 
##     -307, -310, -297, -313, -297, -313, -320, -311, -314, -316, 
##     -316, -314, -306, -312, -302, -309, -311, -313, -304, -314, 
##     -315, -319, -304, -312, -314, -297, -313, -314, -306, -316, 
##     -313, -314, -313, -313, -312, -304, -317, -321, -317, -317, 
##     -304, -302, -314, -301, -315, -315, -318, -308, -320, -312, 
##     -312, -309, -306, -313, -296, -308, -313, -309, -309, -311, 
##     -309, -307, -309, -309, -307, -298, -306, -306, -306, -302, 
##     -300, -313, -314, -296, -305, -310, -307, -302, -305, -306, 
##     -313, -301, -306, -301, -296, -302, -294, -303, -311, -312, 
##     -303, -305, -312, -310, -306, -293, -304, -297, -293, -308, 
##     -297, -311, -306, -308, -300, -292, -308, -304, -311, -313, 
##     -308, -307, -304, -307, -306, -305, -311, -301, -301, -292, 
##     -303, -297, -301, -306, -310, -305, -303, -305, -306, -307, 
##     -303, -304, -294, -307, -302, -302, -289, -294, -285, -299, 
##     -304, -304, -303, -310, -306, -309, -301, -309, -312, -311, 
##     -309, -305, -304, -308, -304, -306, -301, -309, -306, -306, 
##     -294, -302, -307, -314, -306, -304, -308, -307, -302, -307, 
##     -306, -302, -298, -286, -302, -308, -297, -306, -304, -309, 
##     -301, -288, -302, -304, -297, -308, -302, -291, -302, -299, 
##     -283, -300, -289, -303, -307, -307, -307, -302, -302, -295, 
##     -300, -303, -299, -303, -291, -301, -302, -308, -297, -296, 
##     -303, -305, -304, -306, -304, -299, -308, -299, -289, -294, 
##     -310, -288, -302, -304, -293, -302, -306, -296, -310, -294, 
##     -306, -283, -312, -297, -304, -307, -302, -307, -306, -309, 
##     -303, -310, -305, -304, -302, -293, -300, -303, -299, -294, 
##     -300, -296, -301, -306, -296, -306, -303, -302, -294, -303, 
##     -301, -306, -304, -302, -294, -304, -306, -288, -302, -304, 
##     -303, -305, -309, -304, -305, -307, -310, -304, -307, -303, 
##     -308, -294, -310, -308, -306, -308, -311, -305, -311, -304, 
##     -313, -299, -317, -317, -311, -315, -308, -312, -302, -296, 
##     -309, -305, -305, -302, -304, -304, -307, -288, -308, -299, 
##     -301, -301, -291, -301, -299, -306, -299, -292, -305, -305, 
##     -298, -297, -299, -302, -283, -289, -298, -303, -304, -304, 
##     -301, -285, -302, -303, -292, -299, -306, -304, -310, -302, 
##     -297, -304, -309, -298, -305, -308, -308, -309, -304, -299, 
##     -311, -307, -316, -298, -314, -309, -311, -312, -309, -305, 
##     -303, -309, -309, -313, -314, -314, -312, -315, -304, -304, 
##     -311, -313, -314, -307, -308, -315, -306, -310, -298, -304, 
##     -296, -306, -310, -315, -314, -309, -298, -314, -310, -312, 
##     -313, -305, -309, -313, -304, -312, -299, -296, -309, -307, 
##     -310, -306, -313, -307, -310, -312, -316, -312, -315, -314, 
##     -303, -306, -296, -312, -307, -312, -310, -311, -305, -310, 
##     -312, -312, -311, -316, -320, -301, -314, -318, -322, -312, 
##     -315, -311, -303, -312, -317, -318, -312, -309, -311, -319, 
##     -309, -313, -316, -314, -309, -309, -307, -312, -310, -313, 
##     -313, -308, -306, -308, -309, -312, -317, -308, -319, -308, 
##     -311, -314, -309, -310, -319, -300, -317, -312, -307, -301, 
##     -304, -297, -301, -312, -300, -299, -300, -305, -306, -300, 
##     -314, -317, -314, -312, -314, -297, -314, -316, -319, -305, 
##     -312, -302, -318, -314, -322, -312, -313, -310, -316, -312, 
##     -309, -313, -305, -310, -304, -302, -298, -309, -300, -314, 
##     -311, -305, -311, -296, -300, -310, -302, -296, -306, -303, 
##     -305, -292, -306, -300, -306, -310, -309, -311, -294, -307, 
##     -309, -296, -312, -296, -314, -309, -316, -315, -315, -315, 
##     -315, -316, -316, -302, -317, -304, -299, -315, -304, -314, 
##     -315, -314, -301, -308, -307, -312, -311, -309, -308, -308, 
##     -303, -306, -297, -304, -303, -306, -304, -305, -303, -302, 
##     -297, -298, -302, -302, -286, -305, -294, -286, -291, -290, 
##     -301, -304, -304, -306, -302, -308, -306, -307, -308, -296, 
##     -309, -311, -312, -307, -299, -314, -309, -307, -316, -319, 
##     -313, -323, -318, -310, -304, -313, -307, -309, -310, -305, 
##     -312, -312, -310, -309, -305, -307, -315, -311, -305, -301, 
##     -305, -304, -290, -309, -312, -304, -296, -305, -286, -300, 
##     -312, -313, -304, -303, -306, -304, -296, -291, -306, -292, 
##     -302, -298, -299, -303, -299, -305, -297, -307, -298, -300, 
##     -307, -309, -302, -308, -308, -308, -300, -309, -308, -309, 
##     -307, -307, -296, -307, -298, -312, -307, -296, -290, -304, 
##     -303, -309, -307, -304, -308, -303, -303, -304, -303, -302, 
##     -290, -303, -295, -289, -296, -299, -290, -300, -298, -298, 
##     -289, -305, -300, -297, -302, -300, -305, -303, -305, -311, 
##     -307, -309, -303, -310, -302, -301, -303, -310, -308, -299, 
##     -304, -301, -312, -310, -300, -308, -305, -307, -308, -303, 
##     -314, -309, -294, -301, -285, -303, -304, -292, -304, -305, 
##     -310, -296, -310, -310, -316, -305, -309, -318, -322, -312, 
##     -318, -318, -316, -301, -311, -309, -299, -299, -307, -307, 
##     -308, -297, -311, -305, -310, -296, -310, -316, -310, -296, 
##     -309, -308, -295, -303, -284, -303, -305, -303, -303, -305, 
##     -300, -298, -287, -304, -302, -307, -303, -306, -301, -288, 
##     -301, -304, -304, -308, -307, -306, -293, -304, -307, -304, 
##     -309, -296, -306, -297, -310, -300, -308, -312, -312, -294, 
##     -314, -300, -308, -315, -316, -294, -314, -315, -317, -320, 
##     -313, -318, -314, -309, -314, -311, -302, -302, -309, -312, 
##     -313, -311, -306, -308, -311, -316, -308, -313, -303, -307, 
##     -287, -293, -302, -299, -304, -309, -287, -294, -307, -295, 
##     -300, -297, -296, -288, -294, -287, -296, -299, -302, -305, 
##     -298, -304, -301, -302, -303, -300, -300, -304, -297, -307, 
##     -302, -308, -288, -293, -302, -305, -288, -302, -303, -296, 
##     -297, -302, -302, -302, -293, -300, -288, -296, -287, -294, 
##     -296, -304, -302, -297, -297, -296, -301, -293, -308, -306, 
##     -301, -307, -286, -300, -302, -302, -303, -301, -306, -298, 
##     -297, -297, -300, -289, -299, -301, -302, -303, -299, -294, 
##     -296, -303, -303, -309, -303, -306, -305, -301, -301, -294, 
##     -302, -307, -305, -292, -305, -292, -306, -308, -302, -300, 
##     -304, -305, -302, -301, -303, -306, -305, -289, -303, -287, 
##     -298, -305, -302, -305, -286, -304, -301, -304, -301, -300, 
##     -305, -298, -300, -290, -301, -304, -292, -303, -303, -303, 
##     -297, -298, -288, -303, -298, -295, -296, -302, -302, -301, 
##     -301, -298, -304, -296, -293, -307, -304, -307, -301, -302, 
##     -303, -304, -308, -303, -301, -301, -304, -297, -308, -290, 
##     -292, -297, -305, -292, -302, -290, -303, -299, -303, -300, 
##     -301, -306, -299, -301, -286, -301, -304, -304, -301, -295, 
##     -289, -299, -296, -302, -299, -297, -305, -303, -304, -303, 
##     -300, -296, -304, -299, -304, -288, -301, -301, -303, -296, 
##     -306, -302, -303, -301, -301, -303, -285, -305, -303, -286, 
##     -300, -307, -304, -292, -298, -293, -299, -287, -300, -303, 
##     -295, -299, -293, -290, -298, -299, -301, -297, -296, -300, 
##     -298, -296, -297, -299, -297, -296, -296, -301, -298, -301, 
##     -300, -300, -306, -304, -294, -314, -307, -312, -316, -311, 
##     -303, -297, -304, -316, -312, -300, -306, -306, -304, -307, 
##     -313, -306, -307, -312, -307, -308, -308, -302, -307, -313, 
##     -307, -307, -307, -309, -305, -304, -303, -307, -310, -291, 
##     -296, -292, -309, -309, -309, -311, -301, -308, -304, -305, 
##     -296, -305, -305, -299, -315, -313, -317, -306, -310, -312, 
##     -294, -304, -315, -312, -314, -312, -311, -303, -314, -313, 
##     -313, -311, -316, -317, -318, -320, -301, -326, -324, -304, 
##     -320, -298, -326, -319, -315, -319, -312, -303, -319, -320, 
##     -323, -320, -331, -313, -321, -324, -325, -321, -323, -325, 
##     -315, -318, -321, -308, -311, -321, -317, -322, -324, -318, 
##     -318, -318, -320, -318, -316, -310, -320, -304, -310, -315, 
##     -314, -296, -310, -311, -299, -304, -306, -311, -314, -314, 
##     -312, -320, -312, -308, -304, -317, -317, -322, -322, -315, 
##     -314, -316, -320, -319, -316, -305, -316, -318, -320, -322, 
##     -328, -305, -321, -321, -317, -310, -317, -320, -321, -322, 
##     -306, -317, -318, -318, -311, -307, -316, -308, -311, -314, 
##     -316, -300, -319, -316, -308, -317, -315, -313, -318, -312, 
##     -319, -319, -314, -324, -321, -324, -324, -319, -320, -322, 
##     -324, -319, -317, -316, -321, -320, -322, -325, -321, -321, 
##     -326, -322, -330, -323, -318, -320, -320, -319, -324, -313, 
##     -320, -323, -315, -319, -318, -312, -311, -309, -317, -291, 
##     -309, -312, -293, -311, -297, -299, -314, -312, -316, -311, 
##     -304, -308, -317, -320, -317, -306, -323, -304, -319, -315, 
##     -325, -320, -312, -323, -324, -331, -332, -329, -321, -330, 
##     -329, -333, -319, -327, -322, -321, -319, -316, -304, -306, 
##     -318, -315, -303, -309, -317, -318, -308, -315, -313, -322, 
##     -313, -319, -320, -317, -306, -319, -318, -305, -316, -324, 
##     -307, -309, -325, -315, -306, -322, -321, -316, -320, -310, 
##     -326, -324, -314, -320, -323, -314, -327, -310, -322, -321, 
##     -325, -323, -320, -325, -321, -321, -297, -307, -313, -317, 
##     -319, -318, -312, -325, -315, -318, -316, -314, -319, -312, 
##     -318, -323, -308, -324, -315, -319, -318, -316, -316, -316, 
##     -308, -306, -320, -319, -319, -325, -321, -316, -321, -329, 
##     -324, -321, -316, -318, -320, -317, -307, -312, -318, -311, 
##     -315, -312, -300, -314, -301, -313, -289, -308, -306, -306, 
##     -304, -295, -305, -289, -304, -312, -301, -310, -316, -304, 
##     -312, -316, -315, -305, -310, -315, -306, -292, -304, -313, 
##     -307, -316, -314, -314, -310, -306, -301, -313, -312, -308, 
##     -300, -303, -304, -288, -294, -296, -297, -291, -283, -296, 
##     -291, -294, -286, -287, -289, -287, -284, -291, -282, -289, 
##     -286, -287, -289, -287, -286, -292, -293, -292, -302, -303, 
##     -298, -304, -283, -297, -303, -306, -298, -301, -302, -289, 
##     -302, -304, -284, -290, -300, -298, -300, -292, -300, -295, 
##     -301, -306, -297, -315, -309, -300, -293, -314, -301, -306, 
##     -307, -303, -305, -298, -303, -298, -304, -294, -288, -291, 
##     -305, -296, -284, -296, -302, -294, -301, -305, -296, -292, 
##     -296, -292, -304, -297, -313, -305, -305, -305, -309, -309, 
##     -297, -306, -307, -319, -312, -317, -313, -313, -312, -311, 
##     -317, -303, -310, -317, -314, -314, -314, -301, -309, -308, 
##     -312, -293, -301, -304, -299, -300, -302, -298, -293, -282, 
##     -300, -290, -286, -286, -299, -288, -302, -310, -315, -302, 
##     -313, -303, -317, -313, -304, -313, -309, -310, -310, -308, 
##     -320, -311, -306, -311, -312, -314, -317, -311, -305, -311, 
##     -312, -303, -300, -311, -303, -316, -316, -318, -312, -315, 
##     -309, -304, -312, -313, -295, -315, -314, -314, -303, -297, 
##     -302, -312, -305, -300, -308, -303, -312, -314, -309, -308, 
##     -298, -316, -310, -318, -313, -315, -319, -312, -309, -318, 
##     -315, -309, -295, -305, -314, -313, -315, -321, -314, -311, 
##     -300, -303, -305, -304, -306, -296, -300, -312, -297, -306, 
##     -316, -311, -307, -310, -294, -306, -311, -310, -312, -297, 
##     -318, -316, -423, -402, -408, -415, -413, -408, -418, -419, 
##     -406, -406, -414, -424, -413, -419, -426, -420, -423, -422, 
##     -418, -424, -422, -417, -421, -423, -420, -424, -417, -418, 
##     -417, -415, -421, -409, -425, -419, -418, -420, -417, -403, 
##     -396, -417, -410, -403, -416, -412, -408, -418, -416, -412, 
##     -420, -424, -418, -432, -424, -421, -303, -307, -299, -305, 
##     -286, -305, -309, -298, -307, -305, -300, -295, -302, -303, 
##     -305, -295, -306, -303, -298, -305, -305, -297, -303, -305, 
##     -306, -306, -307, -300, -303, -304, -305, -312, -305, -305, 
##     -308, -305, -304, -304, -309, -309, -302, -296, -286, -295, 
##     -307, -314, -311, -308, -305, -310, -292, -308, -305, -304, 
##     -304, -310, -303, -298, -299, -305, -311, -305, -306, -293, 
##     -299, -308, -295, -302, -299, -298, -303, -298, -295, -299, 
##     -302, -302, -303, -307, -282, -287, -293, -303, -288, -299, 
##     -296, -297, -300, -291, -302, -291, -305, -304, -297, -306, 
##     -298, -300, -303, -303, -301, -301, -296, -304, -290, -294, 
##     -301, -293, -292, -307, -299, -289, -288, -305, -295, -298, 
##     -302, -294, -292, -290, -298, -305, -298, -299, -306, -302, 
##     -303, -311, -297, -302, -303, -301, -306, -305, -300, -307, 
##     -306, -293, -304, -295, -296, -311, -303, -303, -294, -289, 
##     -300, -289, -301, -304, -294, -291, -296, -299, -299, -301, 
##     -297, -304, -293, -305, -368, -360, -365, -357, -360, -352, 
##     -358, -355, -347, -360, -353, -364, -346, -347, -354, -361, 
##     -355, -360, -357, -354, -353, -360, -344, -359, -348, -357, 
##     -359, -360, -362, -346, -320, -321, -307, -320, -330, -320, 
##     -341, -341, -340, -348, -344, -353, -360, -354, -362, -354, 
##     -353, -328, -340, -335, -329, -336, -336, -334, -339, -335, 
##     -341, -344, -330, -335, -337, -337, -343, -338, -330, -343, 
##     -343, -336, -340, -339, -339, -336, -333, -339, -326, -334, 
##     -327, -327, -331, -317, -334, -332, -329, -336, -333, -338, 
##     -355, -355, -343, -356, -360, -352, -340, -337, -328, -325, 
##     -331, -326, -323, -314, -320, -327, -321, -321, -320, -317, 
##     -325, -316, -322, -328, -324, -328, -323, -329, -325, -330, 
##     -318, -324, -322, -333, -316, -332, -331, -313, -313, -335, 
##     -327, -316, -332, -330, -322, -323, -324, -311, -319, -323, 
##     -313, -319, -300, -312, -313, -308, -318, -311, -311, -306, 
##     -308, -307, -314, -306, -311, -315, -304, -314, -311, -305, 
##     -323, -319, -318, -321, -314, -312, -316, -318, -314, -312, 
##     -319, -297, -317, -317, -312, -322, -320, -316, -325, -321, 
##     -303, -318, -322, -322, -325, -326, -323, -318, -323, -317, 
##     -322, -326, -328, -324, -329, -330, -332, -329, -323, -333, 
##     -337, -333, -331, -335, -322, -333, -335, -329, -320, -335, 
##     -322, -334, -333, -310, -330, -327, -321, -324, -323, -321, 
##     -327, -320, -310, -323, -320, -326, -323, -304, -320, -332, 
##     -328, -329, -333, -335, -334, -335, -330, -328, -332, -320, 
##     -333, -321, -326, -328, -323, -332, -332, -328, -331, -323, 
##     -324, -334, -323, -316, -331, -335, -339, -333, -329, -327, 
##     -334, -319, -317, -334, -335, -330, -333, -329, -330, -326, 
##     -324, -327, -331, -330, -328, -328, -326, -328, -311, -314, 
##     -322, -323, -318, -320, -317, -318, -321, -318, -311, -325, 
##     -319, -321, -326, -315, -324, -326, -312, -319, -319, -318, 
##     -318, -317, -324, -323, -325, -319, -312, -323, -318, -324, 
##     -327, -329, -331, -333, -331, -326, -332, -328, -328, -329, 
##     -317, -327, -320, -313, -324, -316, -308, -318, -320, -318, 
##     -320, -322, -318, -319, -307, -316, -313, -319, -327, -323, 
##     -331, -322, -324, -320, -326, -329, -329, -316, -321, -332, 
##     -336, -326, -333, -328, -327, -322, -320, -326, -329, -328, 
##     -328, -313, -336, -327, -322, -310, -328, -316, -322, -323, 
##     -312, -313, -325, -323, -325, -331, -331, -324, -324, -325, 
##     -328, -336, -336, -335, -341, -328, -338, -336, -333, -334, 
##     -331, -319, -331, -336, -333, -327, -331, -331, -332, -327, 
##     -328, -315, -330, -326, -318, -331, -335, -334, -331, -320, 
##     -332, -328, -331, -335, -340, -337, -328, -320, -329, -330, 
##     -336, -323, -332, -312, -326, -337, -331, -337, -335, -331, 
##     -335, -336, -337, -338, -338, -336, -344, -337, -340, -337, 
##     -335, -340, -329, -336, -324, -336, -331, -334, -334, -318, 
##     -331, -327, -324, -319, -333, -334, -338, -336, -332, -336, 
##     -337, -321, -330, -329, -323, -324, -327, -328, -324, -324, 
##     -324, -332, -317, -332, -332, -334, -317, -330, -328, -337, 
##     -342, -347, -341, -345, -336, -337, -337, -336, -335, -331, 
##     -335, -338, -337, -336, -336, -322, -334, -321, -334, -326, 
##     -337, -332, -329, -330, -335, -326, -334, -340, -331, -348, 
##     -340, -343, -341, -343, -341, -336, -341, -343, -332, -344, 
##     -323, -335, -343, -328, -328, -335, -333, -326, -325, -327, 
##     -316, -335, -324, -333, -331, -329, -309, -331, -333, -331, 
##     -343, -329, -329, -332, -339, -340, -338, -336, -336, -335, 
##     -330, -334, -322, -332, -331, -328, -316, -323, -319, -325, 
##     -322, -323, -333, -323, -315, -327, -328, -334, -333, -330, 
##     -331, -322, -324, -321, -324, -315, -313, -311, -303, -309, 
##     -314, -308, -308, -308, -316, -307, -313, -300, -302, -306, 
##     -305, -304, -301, -303, -312, -309, -300, -303, -304, -282, 
##     -294, -303, -300, -300, -308, -313, -309, -317, -313, -310, 
##     -313, -314, -318, -305, -311, -309, -319, -326, -325, -329, 
##     -325, -323, -321, -313, -335, -334, -330, -320, -330, -324, 
##     -321, -326, -336, -329, -328, -329, -334, -331, -332, -335, 
##     -334, -332, -326, -327, -325, -317, -330, -323, -327, -321, 
##     -321, -320, -326, -328, -330, -315, -329, -323, -333, -325, 
##     -326, -332, -332, -331, -334, -327, -324, -319, -327, -332, 
##     -330, -336, -328, -334, -330, -337, -330, -327, -338, -325, 
##     -333, -335, -335, -333, -337, -339, -342, -322, -326, -323, 
##     -332, -336, -333, -335, -330, -333, -337, -337, -341, -338, 
##     -342, -338, -334, -329, -340, -340, -342, -325, -337, -339, 
##     -338, -336, -337, -326, -336, -322, -339, -338, -323, -334, 
##     -330, -335, -319, -331, -325, -322, -326, -328, -326, -315, 
##     -317, -332, -327, -319, -326, -325, -327, -324, -320, -311, 
##     -316, -325, -322, -325, -325, -321, -322, -321, -322, -292, 
##     -301, -302, -303, -312, -300, -303, -304, -302, -303, -301, 
##     -310, -311, -305, -306, -309, -312, -304, -305, -305, -307, 
##     -310, -308, -308, -313, -302, -296, -313, -312, -292, -308, 
##     -306, -298, -310, -303, -312, -304, -301, -319, -317, -311, 
##     -311, -306, -303, -304, -308, -308, -305, -299, -311, -302, 
##     -302, -311, -312, -313, -315, -311, -301, -307, -311, -305, 
##     -301, -307, -305, -304, -312, -318, -312, -307, -312, -314, 
##     -298, -316, -318, -314, -318, -314, -312, -311, -324, -319, 
##     -306, -314, -319, -312, -316, -314, -321, -309, -316, -322, 
##     -313, -308, -317, -316, -319, -320, -317, -313, -312, -301, 
##     -314, -312, -312, -333, -317, -337, -341, -335, -332, -337, 
##     -335, -330, -317, -337, -333, -339, -325, -322, -335, -334, 
##     -339, -347, -338, -332, -335, -337, -332, -332, -338, -333, 
##     -336, -338, -342, -335, -320, -339, -334, -324, -329, -315, 
##     -327, -330, -328, -333, -338, -335, -334, -331, -334, -323, 
##     -325, -338, -324, -329, -314, -322, -324, -319, -334, -328, 
##     -324, -312, -318, -319, -318, -309, -322, -320, -318, -315, 
##     -307, -311, -307, -303, -316, -308, -312, -324, -318, -327, 
##     -321, -320, -310, -323, -324, -306, -307, -319, -317, -318, 
##     -324, -329, -327, -327, -323, -338, -337, -328, -313, -304, 
##     -308, -301, -317, -314, -315, -309, -311, -314, -314, -312, 
##     -319, -321, -318, -316, -316, -368, -369, -369, -365, -356, 
##     -360, -350, -353, -350, -360, -347, -342, -323, -331, -319, 
##     -315, -311, -318, -303, -311, -303, -312, -317, -311, -311, 
##     -307, -295, -302, -305, -308, -303, -308, -312, -311, -308, 
##     -307, -306, -310, -313, -310, -305, -311, -306, -304, -304, 
##     -303, -304, -296, -292, -298, -308, -302, -307, -297, -287, 
##     -303, -304, -300, -304, -303, -301, -306, -297, -304, -294, 
##     -306, -303, -304, -300, -308, -428, -421, -424, -417, -425, 
##     -417, -420, -419, -420, -419, -424, -423, -424, -420, -418, 
##     -418, -429, -425, -423, -426, -422, -424, -424, -421, -433, 
##     -430, -432, -431, -427, -433, -432, -420, -430, -427, -437, 
##     -417, -434, -429, -436, -428, -423, -407, -427, -424, -410, 
##     -428, -424, -426, -424, -413, -429, -426, -428, -420, -428, 
##     -427, -409, -427, -420, -421, -424, -425, -419, -419, -408, 
##     -428, -423, -425, -424, -429, -413, -414, -421, -423, -419, 
##     -429, -409, -427, -425, -411, -424, -426, -419, -429, -432, 
##     -412, -429, -423, -415, -432, -431, -416, -422, -406, -423, 
##     -423, -412, -425, -418, -424, -425, -411, -420, -419, -424, 
##     -420, -427, -423, -424, -420, -429, -425, -426, -429, -424, 
##     -416, -416, -426, -427, -424, -418, -408, -422, -421, -422, 
##     -417, -421, -419, -421, -418, -407, -416, -420, -417, -416, 
##     -418, -426, -420, -407, -403, -415, -419, -418, -417, -415, 
##     -422, -424, -414, -420, -416, -412, -411, -403, -413, -409, 
##     -395, -407, -410, -413, -416, -409, -416, -417, -416, -416, 
##     -418, -417, -413, -419, -402, -415, -411, -409, -406, -416, 
##     -411, -415, -416, -416, -417, -399, -399, -413, -415, -401, 
##     -413, -411, -418, -415, -408, -415, -418, -420, -407, -414, 
##     -416, -406, -424, -411, -404, -415, -412, -417, -415, -416, 
##     -406, -419, -419, -419, -417, -404, -372, -377, -361, -375, 
##     -370, -362, -372, -360, -374, -378, -376, -361, -364, -375, 
##     -370, -369, -375, -360, -366, -376, -364, -375, -375, -362, 
##     -361, -375, -381, -375, -369, -376, -378, -368, -369, -360, 
##     -376, -365, -370, -372, -366, -364, -377, -363, -375, -372, 
##     -373, -366, -372, -372, -372, -360, -372, -381, -378, -374, 
##     -382, -376, -378, -377, -377, -378, -373, -379, -376, -381, 
##     -384, -381, -383, -383, -378, -389, -378, -383, -391, -388, 
##     -364, -388, -384, -373, -388, -376, -382, -381, -384, -387, 
##     -380, -385, -377, -380, -381, -378, -368, -377, -385, -371, 
##     -382, -384, -366, -384, -378, -384, -379, -369, -381, -375, 
##     -382, -367, -380, -373, -377, -383, -410, -404, -316, -296, 
##     -314, -312, -306, -306, -308, -306, -309, -302, -298, -305, 
##     -302, -301, -296, -304, -279, -302, -297, -301, -297, -303, 
##     -296, -302, -300, -294, -309, -303, -303, -289, -304, -370, 
##     -372, -380, -382, -380, -387, -389, -368, -387, -381, -382, 
##     -388, -385, -375, -386, -385, -366, -371, -383, -381, -373, 
##     -371, -381, -370, -375, -384, -369, -383, -376, -380, -375, 
##     -366, -370, -371, -378, -376, -370, -387, -379, -362, -376, 
##     -363, -374, -373, -369, -375, -370, -357, -357, -370, -373, 
##     -369, -375, -370, -371, -359, -373, -379, -374, -374, -370, 
##     -381, -374, -376, -375, -370, -372, -375, -368, -361, -373, 
##     -367, -373, -371, -359, -369, -374, -376, -371, -377, -372, 
##     -359, -369, -364, -371, -367, -371, -373, -360, -373, -350, 
##     -361, -375, -370, -366, -374, -369, -382, -381, -377, -378, 
##     -378, -373, -368, -380, -373, -381, -369, -380, -371, -364, 
##     -372, -368, -372, -377, -366, -374, -376, -372, -373, -381, 
##     -377, -374, -381, -373, -375, -371, -383, -373, -363, -376, 
##     -374, -378, -372, -360, -364, -364, -367, -348, -356, -360, 
##     -355, -366, -364, -362, -353, -370, -370, -377, -375, -374, 
##     -376, -378, -363, -382, -373, -371, -362, -363, -373, -370, 
##     -373, -366, -361, -369, -366, -370, -367, -353, -378, -382, 
##     -371, -370, -372, -367, -367, -362, -361, -363, -360, -341, 
##     -353, -354, -353, -359, -362, -360, -360, -361, -356, -349, 
##     -357, -357, -363, -353, -359, -368, -360, -366, -365, -355, 
##     -355, -363, -351, -354, -368, -369, -369, -355, -365, -350, 
##     -365, -370, -373, -362, -370, -369, -371, -383, -375, -380, 
##     -364, -354, -372, -372, -368, -363, -365, -363, -362, -347, 
##     -360, -356, -357, -357, -359, -351, -345, -368, -359, -361, 
##     -359, -355, -355, -361, -360, -352, -364, -369, -361, -368, 
##     -368, -377, -378, -358, -368, -362, -370, -366, -360, -365, 
##     -360, -359, -359, -366, -364, -360, -362, -366, -370, -370, 
##     -369, -352, -367, -354, -368, -361, -372, -373, -366, -369, 
##     -372, -361, -366, -367, -364, -374, -371, -370, -368, -357, 
##     -366, -368, -374, -370, -375, -369, -364, -378, -373, -375, 
##     -369, -372, -367, -369, -368, -366, -362, -361, -367, -357, 
##     -350, -360, -347, -360, -358, -363, -354, -367, -359, -349, 
##     -358, -348, -365, -364, -366, -372, -373, -367, -363, -367, 
##     -364, -354, -354, -359, -353, -360, -353, -363, -351, -366, 
##     -366, -356, -350, -366, -368, -370, -367, -374, -366, -367, 
##     -360, -360, -348, -356, -363, -363, -364, -366, -366, -368, 
##     -370, -371, -370, -366, -363, -358, -367, -372, -366, -374, 
##     -358, -369, -362, -369, -364, -360, -367, -359, -363, -352, 
##     -355, -345, -340, -357, -343, -340, -354, -352, -355, -360, 
##     -360, -367, -364, -350, -360, -364, -367, -367, -368, -374, 
##     -360, -371, -371, -365, -346, -363, -360, -356, -360, -373, 
##     -371, -366, -365, -378, -377, -379, -382, -367, -383, -361, 
##     -376, -360, -376, -368, -365, -368, -367, -347, -364, -360, 
##     -366, -356, -351, -358, -351, -367, -367, -352, -350, -355, 
##     -312, -422, -431, -413, -438, -434, -431, -435, -436, -437, 
##     -431, -440, -427, -425, -429, -438, -442, -417, -432, -426, 
##     -433, -432, -422, -418, -418, -432, -432, -434, -435, -421, 
##     -438, -431, -438, -440, -439, -429, -442, -439, -445, -427, 
##     -442, -440, -438, -431, -430, -429, -434, -435, -428, -426, 
##     -430, -426, -429, -427, -429, -429, -427, -428, -421, -423, 
##     -430, -430, -416, -427, -434, -416, -425, -425, -423, -423, 
##     -415, -436, -439, -439, -432, -436, -441, -436, -426, -436, 
##     -445, -443, -434, -439, -425, -432, -435, -426, -435, -431, 
##     -433, -429, -424, -419, -428, -432, -437, -438, -437, -432, 
##     -413, -426, -434, -422, -430, -437, -434, -438, -441, -447, 
##     -446, -445, -450, -445, -436, -443, -441, -441, -440, -434, 
##     -442, -437, -425, -437, -426, -444, -441, -442, -440, -426, 
##     -446, -435, -439, -445, -435, -437, -438, -432, -433, -428, 
##     -438, -431, -434, -427, -439, -432, -424, -427, -418, -427, 
##     -426, -427, -418, -428, -427, -443, -440, -435, -437, -427, 
##     -432, -432, -442, -441, -419, -448, -439, -439, -440, -438, 
##     -438, -439, -435, -437, -438, -429, -426, -415, -420, -419, 
##     -429, -429, -422, -426, -424, -419, -423, -418, -428, -428, 
##     -425, -419, -427, -438, -419, -434, -434, -440, -437, -435, 
##     -441, -442, -437, -427, -435, -427, -434, -430, -430, -424, 
##     -444, -435, -441, -427, -440, -434, -434, -436, -435, -420, 
##     -435, -432, -424, -423, -431, -417, -427, -423, -425, -415, 
##     -421, -426, -418, -413, -424, -432, -428, -430, -432, -438, 
##     -438, -433, -425, -441, -444, -424, -442, -442, -439, -438, 
##     -447, -440, -434, -434, -433, -413, -431, -416, -421, -431, 
##     -434, -432, -431, -422, -429, -431, -427, -430, -437, -434, 
##     -427, -432, -435, -426, -419, -440, -434, -442, -441, -439, 
##     -437, -432, -434, -432, -438, -428, -424, -424, -430, -419, 
##     -423, -418, -422, -419, -423, -424, -430, -431, -428, -429, 
##     -436, -435, -430, -431, -439, -432, -430, -441, -429, -433, 
##     -434, -433, -415, -417, -425, -429, -408, -425, -419, -417, 
##     -418, -416, -422, -418, -425, -422, -418, -431, -432, -427, 
##     -431, -425, -424, -428, -411, -424, -420, -421, -423, -421, 
##     -421, -415, -415, -417, -410, -421, -417, -409, -403, -417, 
##     -408, -418, -414, -419, -418, -420, -408, -425, -418, -423, 
##     -431, -432, -421, -432, -432, -436, -441, -437, -437, -438, 
##     -440, -443, -440, -433, -436, -438, -437, -434, -426, -439, 
##     -435, -434, -425, -424, -431, -428, -427, -417, -415, -418, 
##     -425, -407, -406, -414, -425, -424, -431, -412, -428, -436, 
##     -430, -434, -429, -446, -445, -443, -446, -446, -445, -439, 
##     -441, -447, -448, -439, -450, -441, -441, -430, -421, -429, 
##     -427, -430, -433, -434, -429, -433, -427, -427, -430, -431, 
##     -433, -437, -434, -439, -431, -437, -435, -435, -435, -428, 
##     -424, -439, -433, -440, -435, -434, -437, -434, -428, -417, 
##     -307, -307, -297, -300, -296, -303, -301, -302, -292, -293, 
##     -305, -301, -301, -301, -303, -289, -301, -295, -291, -298, 
##     -296, -297, -286, -301, -302, -299, -299, -297, -304, -298, 
##     -295, -291, -303, -303, -307, -302, -303, -308, -309, -305, 
##     -303, -300, -307, -309, -307, -303, -307, -308, -295, -296, 
##     -300, -294, -298, -292, -289, -296, -302, -292, -291, -290, 
##     -302, -296, -287, -287, -298, -302, -307, -305, -302, -307, 
##     -306, -315, -293, -300, -304, -304, -296, -305, -303, -303, 
##     -304, -310, -297, -298, -304, -291, -304, -304, -308, -313, 
##     -312, -312, -306, -315, -305, -289, -295, -303, -299, -303, 
##     -306, -300, -301, -300, -291, -293, -303, -293, -294, -299, 
##     -292, -304, -288, -312, -311, -307, -310, -315, -313, -300, 
##     -299, -317, -297, -303, -311, -317, -313, -315, -312, -301, 
##     -312, -307, -308, -305, -298, -309, -307, -305, -301, -311, 
##     -305, -310, -305, -294, -310, -309, -305, -311, -294, -310, 
##     -308, -316, -303, -308, -292, -305, -306, -303, -307, -309, 
##     -290, -306, -303, -312, -303, -298, -293, -304, -303, -305, 
##     -308, -301, -305, -304, -298, -303, -304, -301, -296, -303, 
##     -306, -304, -308, -302, -293, -309, -313, -310, -307, -292, 
##     -303, -302, -308, -301, -305, -305, -306, -314, -305, -312, 
##     -304, -310, -308, -304, -300, -317, -317, -302, -294, -312, 
##     -313, -313, -314, -312, -308, -316, -315, -317, -315, -315, 
##     -311, -308, -311, -315, -311, -311, -305, -307, -311, -308, 
##     -310, -308, -306, -294, -300, -293, -285, -298, -296, -294, 
##     -299, -290, -285, -296, -301, -301, -301, -297, -295, -300, 
##     -305, -291, -299, -298, -305, -308, -301, -305, -303, -308, 
##     -289, -308, -301, -302, -308, -311, -302, -304, -316, -311, 
##     -301, -303, -310, -313, -303, -303, -293, -304, -311, -308, 
##     -299, -299, -288, -303, -299, -292, -291, -304, -304, -304, 
##     -304, -298, -302, -306, -308, -305, -302, -308, -307, -297, 
##     -302, -302, -304, -302, -303, -311, -299, -314, -307, -293, 
##     -307, -304, -310, -309, -302, -307, -314, -314, -312, -317, 
##     -297, -307, -310, -317, -302, -315, -295, -297, -309, -296, 
##     -299, -304, -298, -289, -302, -294, -301, -307, -310, -314, 
##     -302, -310, -301, -305, -311, -305, -310, -307, -288, -305, 
##     -306, -294, -302, -298, -284, -292, -293, -302, -299, -301, 
##     -292, -308, -305, -296, -302, -294, -306, -308, -296, -307, 
##     -298, -303, -306, -319, -317, -310, -308, -314, -309, -298, 
##     -304, -299, -303, -310, -310, -293, -310, -315, -298, -313, 
##     -302, -304, -311, -309, -317, -320, -315, -312, -316, -312, 
##     -304, -317, -311, -311, -306, -314, -314, -318, -321, -323, 
##     -304, -315, -322, -310, -320, -318, -315, -315, -319, -317, 
##     -318, -321, -296, -313, -319, -316, -304, -313, -315, -314, 
##     -315, -316, -315, -312, -301, -313, -311, -311, -310, -314, 
##     -311, -297, -305, -307, -309, -310, -304, -306, -295, -307, 
##     -303, -297, -307, -302, -292, -304, -306, -297, -302, -305, 
##     -305, -302, -289, -287, -306, -293, -297, -302, -292, -308, 
##     -308, -300, -304, -313, -313, -309, -290, -309, -317, -310, 
##     -308, -317, -311, -309, -312, -307, -313, -310, -315, -297, 
##     -300, -301, -312, -303, -318, -304, -319, -306, -311, -311, 
##     -308, -307, -309, -312, -314, -318, -312, -296, -318, -317, 
##     -306, -306, -319, -320, -304, -310, -322, -317, -299, -311, 
##     -310, -322, -320, -321, -319, -307, -312, -313, -313, -312, 
##     -308, -315, -302, -305, -296, -309, -296, -311, -304, -299, 
##     -310, -307, -306, -312, -319, -312, -318, -299, -320, -311, 
##     -316, -317, -308, -308, -316, -318, -308, -321, -312, -322, 
##     -311, -315, -319, -312, -315, -313, -296, -305, -302, -296, 
##     -297, -301, -301, -307, -303, -302, -308, -305, -315, -313, 
##     -309, -316, -307, -317, -318, -312, -314, -312, -302, -304, 
##     -311, -310, -314, -315, -302, -309, -312, -308, -306, -294, 
##     -313, -305, -303, -315, -300, -314, -313, -305, -303, -316, 
##     -317, -316, -315, -313, -316, -301, -315, -309, -300, -311, 
##     -318, -326, -321, -319, -321, -319, -317, -316, -302, -315, 
##     -309, -301, -311, -311, -308, -310, -308, -314, -308, -302, 
##     -305, -294, -309, -310, -311, -301, -312, -305, -314, -318, 
##     -315, -315, -314, -313, -303, -312, -311, -299, -317, -313, 
##     -314, -299, -317, -315, -312, -319, -314, -316, -315, -323, 
##     -318, -303, -305, -321, -315, -295, -311, -310, -310, -312, 
##     -316, -306, -311, -315, -316, -312, -322, -318, -317, -314, 
##     -318, -316, -316, -318, -318, -296, -313, -316, -304, -315, 
##     -316, -315, -318, -317, -315, -305, -318, -304, -312, -310, 
##     -318, -317, -322, -316, -319, -323, -323, -303, -308, -307, 
##     -317, -313, -313, -316, -311, -309, -315, -307, -311, -316, 
##     -313, -321, -315, -322, -307, -326, -326, -321, -325, -318, 
##     -316, -315, -321, -315, -304, -322, -317, -319, -310, -329, 
##     -320, -327, -322, -332, -328, -315, -320, -338, -334, -330, 
##     -330, -329, -322, -329, -325, -321, -329, -321, -324, -323, 
##     -308, -320, -322, -320, -327, -316, -323, -321, -308, -306, 
##     -321, -326, -311, -327, -321, -323, -321, -324, -321, -306, 
##     -325, -318, -314, -319, -315, -321, -329, -325, -315, -316, 
##     -319, -319, -318, -294, -299, -306, -303, -304, -303, -304, 
##     -298, -299, -310, -294, -287, -307, -296, -291, -299, -289, 
##     -305, -309, -289, -286, -303, -296, -296, -302, -299, -292, 
##     -298, -302, -302, -293, -314, -311, -311, -297, -317, -313, 
##     -317, -310, -309, -321, -320, -303, -321, -304, -320, -313, 
##     -302, -303, -307, -318, -310, -313, -308, -313, -321, -308, 
##     -317, -315, -314, -316, -315, -310, -302, -312, -307, -304, 
##     -318, -303, -295, -317, -315, -317, -308, -313, -318, -306, 
##     -319, -319, -319, -316, -314, -319, -310, -317, -314, -309, 
##     -305, -311, -311, -313, -298, -307, -309, -302, -303, -309, 
##     -297, -308, -311, -302, -305, -305, -304, -317, -312, -305, 
##     -320, -313, -307, -303, -312, -309, -307, -312, -309, -305, 
##     -303, -312, -308, -298, -312, -305, -315, -311, -305, -301, 
##     -308, -300, -298, -298, -308, -312, -311, -312, -312, -313, 
##     -301, -310, -313, -319, -301, -328, -319, -318, -315, -308, 
##     -311, -312, -316, -313, -310, -309, -306, -309, -314, -319, 
##     -311, -312, -312, -302, -311, -318, -316, -311, -307, -310, 
##     -317, -313, -316, -317, -302, -312, -305, -306, -308, -312, 
##     -315, -316, -297, -310, -305, -297, -307, -313, -310, -315, 
##     -307, -308, -308, -302, -309, -317, -301, -319, -316, -317, 
##     -311, -304, -306, -312, -301, -310, -308, -313, -309, -320, 
##     -300, -314, -293, -307, -308, -315, -299, -312, -318, -317, 
##     -313, -314, -318, -315, -317, -313, -313, -307, -305, -312, 
##     -318, -298, -300, -308, -304, -298, -313, -303, -310, -314, 
##     -308, -309, -315, -302, -309, -308, -311, -313, -305, -305, 
##     -313, -304, -308, -313, -310, -314, -298, -297, -306, -317, 
##     -304, -295, -304, -307, -292, -307, -305, -304, -302, -303, 
##     -310, -294, -309, -313, -304, -301, -310, -308, -313, -303, 
##     -307, -311, -309, -300, -310, -299, -309, -316, -315, -299, 
##     -306, -312, -299, -303, -309, -312, -310, -307, -311, -303, 
##     -314, -311, -306, -311, -300, -313, -309, -306, -313, -301, 
##     -308, -294, -317, -307, -309, -302, -310, -311, -310, -309, 
##     -314, -311, -311, -315, -300, -318, -314, -312, -318, -314, 
##     -305, -312, -305, -306, -306, -307, -314, -305, -298, -309, 
##     -310, -310, -305, -310, -307, -291, -301, -307, -296, -307, 
##     -306, -304, -309, -312, -303, -306, -313, -313, -307, -306, 
##     -308, -306, -294, -306, -304, -318, -309, -304, -307, -310, 
##     -312, -306, -307, -316, -314, -316, -311, -312, -305, -316, 
##     -301, -306, -292, -313, -310, -318, -301, -315, -306, -318, 
##     -314, -308, -317, -319, -315, -314, -313, -306, -315, -319, 
##     -313, -314, -311, -302, -314, -312, -303, -296, -308, -303, 
##     -317, -313, -322, -311, -311, -310, -313, -306, -320, -310, 
##     -318, -309, -295, -308, -314, -307, -298, -311, -310, -309, 
##     -312, -316, -311, -309, -311, -309, -308, -305, -311, -300, 
##     -312, -320, -306, -313, -317, -317, -312, -303, -322, -312, 
##     -311, -313, -307, -306, -310, -305, -307, -297, -302, -298, 
##     -303, -282, -301, -302, -308, -311, -302, -323, -322, -316, 
##     -311, -323, -324, -321, -318, -314, -315, -321, -327, -320, 
##     -334, -334, -339, -333, -351, -335, -344, -356, -352, -355, 
##     -354, -357, -364, -356, -369, -365, -364, -360, -364, -370, 
##     -362, -372, -360, -355, -346, -362, -340, -348, -335, -343, 
##     -339, -327, -333, -305, -307, -304, -307, -305, -298, -304, 
##     -294, -311, -306, -312, -317, -319, -314, -317, -312, -311, 
##     -325, -317, -309, -315, -305, -316, -311, -303, -318, -320, 
##     -319, -318, -312, -311, -321, -321, -304, -312, -303, -310, 
##     -306, -307, -299, -309, -308, -309, -315, -307, -311, -306, 
##     -310, -312, -302, -316, -317, -311, -312, -313, -302, -317, 
##     -317, -311, -306, -316, -306, -312, -311, -300, -312, -310, 
##     -308, -307, -317, -314, -310, -318, -307, -302, -308, -308, 
##     -311, -310, -313, -309, -316, -301, -300, -293, -308, -313, 
##     -306, -310, -305, -311, -315, -316, -307, -304, -300, -305, 
##     -309, -303, -309, -313, -312, -298, -313, -310, -309, -307, 
##     -312, -316, -313, -312, -310, -314, -308, -314, -316, -310, 
##     -300, -306, -311, -312, -306, -316, -307, -299, -312, -317, 
##     -315, -317, -308, -312, -312, -311, -311, -319, -314, -318, 
##     -314, -308, -301, -317, -318, -314, -321, -311, -308, -317, 
##     -313, -316, -311, -309, -311, -310, -301, -317, -315, -309, 
##     -304, -308, -311, -307, -303, -300, -306, -306, -306, -291, 
##     -304, -300, -298, -304, -314, -294, -293, -300, -303, -296, 
##     -306, -317, -300, -312, -313, -320, -309, -315, -314, -314, 
##     -308, -311, -309, -294, -304, -315, -295, -299, -304, -295, 
##     -321, -317, -318, -314, -324, -316, -303, -319, -319, -311, 
##     -311, -318, -318, -315, -319, -302, -306, -318, -314, -301, 
##     -314, -310, -324, -320, -324, -325, -325, -323, -314, -328, 
##     -323, -324, -315, -324, -313, -310, -319, -316, -314, -313, 
##     -304, -313, -307, -314, -303, -314, -310, -308, -307, -310, 
##     -307, -302, -301, -304, -302, -305, -300, -309, -311, -306, 
##     -309, -303, -312, -300, -310, -299, -312, -309, -312, -309, 
##     -317, -313, -319, -317, -320, -314, -303, -314, -312, -311, 
##     -309, -320, -311, -313, -321, -319, -317, -319, -318, -318, 
##     -320, -315, -315, -310, -321, -319, -317, -327, -309, -314, 
##     -318, -319, -319, -318, -319, -323, -316, -322, -322, -321, 
##     -321, -320, -318, -317, -297, -304, -312, -312, -312, -317, 
##     -315, -312, -307, -313, -308, -307, -311, -310, -311, -310, 
##     -305, -309, -302, -318, -305, -314, -312, -312, -303, -313, 
##     -307, -315, -297, -313, -298, -312, -313, -309, -306, -309, 
##     -312, -313, -317, -315, -304, -311, -316, -312, -311, -318, 
##     -314, -305, -300, -320, -316, -316, -312, -318, -320, -316, 
##     -314, -314, -302, -317, -312, -321, -324, -313, -318, -314, 
##     -317, -315, -307, -321, -302, -322, -317, -321, -320, -302, 
##     -314, -308, -315, -313, -315, -302, -313, -303, -309, -314, 
##     -320, -311, -313, -313, -317, -311, -313, -312, -305, -305, 
##     -306, -316, -298, -312, -317, -313, -319, -309, -319, -322, 
##     -316, -316, -316, -318, -311, -313, -301, -323, -308, -313, 
##     -326, -322, -326, -321, -319, -322, -324, -316, -331, -324, 
##     -321, -318, -319, -302, -326, -320, -325, -318, -321, -326, 
##     -321, -325, -323, -322, -321, -321, -323, -321, -307, -321, 
##     -318, -317, -319, -325, -317, -322, -315, -321, -320, -328, 
##     -316, -326, -325, -323, -324, -316, -309, -328, -324, -306, 
##     -327, -328, -320, -328, -319, -319, -314, -321, -321, -316, 
##     -313, -311, -307, -307, -298, -307, -300, -301, -313, -310, 
##     -307, -297, -314, -302, -311, -312, -319, -313, -295, -312, 
##     -316, -318, -308, -312, -307, -312, -310, -312, -299, -296, 
##     -316, -312, -312, -314, -309, -310, -308, -313, -315, -316, 
##     -312, -317, -315, -312, -305, -307, -311, -303, -296, -314, 
##     -313, -320, -319, -313, -304, -319, -319, -311, -310, -316, 
##     -324, -322, -305, -323, -309, -322, -321, -315, -322, -328, 
##     -321, -325, -331, -310, -317, -316, -311, -316, -315, -312, 
##     -310, -308, -298, -314, -307, -314, -312, -307, -303, -321, 
##     -307, -306, -311, -308, -319, -320, -311, -320, -314, -318, 
##     -317, -320, -308, -317, -305, -310, -318, -297, -315, -317, 
##     -312, -309, -314, -321, -321, -330, -323, -324, -326, -327, 
##     -320, -321, -321, -314, -301, -309, -317, -313, -303, -311, 
##     -310, -315, -313, -311, -312, -319, -322, -319, -316, -315, 
##     -313, -307, -311, -311, -300, -313, -317, -319, -307, -313, 
##     -319, -311, -316, -303, -316, -326, -307, -317, -322, -319, 
##     -320, -316, -322, -309, -322, -321, -321, -325, -305, -317, 
##     -324, -318, -319, -317, -313, -318, -319, -312, -319, -310, 
##     -324, -329, -328, -307, -318, -308, -323, -317, -321, -317, 
##     -308, -323, -320, -325, -321, -320, -320, -321, -320, -322, 
##     -326, -324, -310, -323, -320, -317, -305, -309, -319, -316, 
##     -320, -318, -322, -309, -318, -317, -325, -330, -324, -316, 
##     -327, -327, -329, -321, -323, -314, -311, -333, -312, -323, 
##     -325, -325, -325, -328, -331, -327, -316, -329, -333, -325, 
##     -328, -325, -331, -326, -332, -318, -330, -334, -327, -323, 
##     -325, -315, -322, -322, -311, -328, -326, -325, -307, -322, 
##     -312, -322, -317, -320, -319, -311, -315, -326, -321, -302, 
##     -324, -322, -320, -333, -325, -326, -310, -321, -321, -314, 
##     -330, -324, -320, -324, -319, -324, -319, -323, -311, -327, 
##     -330, -327, -333, -323, -326, -329, -331, -318, -334, -331, 
##     -326, -327, -320, -323, -317, -329, -326, -325, -314, -335, 
##     -319, -312, -335, -324, -326, -325, -320, -326, -334, -319, 
##     -329, -329, -315, -325, -327, -323, -327, -321, -326, -324, 
##     -309, -318, -323, -312, -310, -321, -324, -318, -316, -319, 
##     -301, -316, -309, -319, -317, -307, -321, -313, -312, -311, 
##     -302, -320, -307, -302, -307, -311, -311, -308, -309, -314, 
##     -308, -315, -312, -314, -297, -308, -311, -311, -308, -305, 
##     -301, -304, -306, -301, -311, -305, -302, -296, -308, -314, 
##     -296, -315, -311, -308, -313, -323, -321, -318, -302, -320, 
##     -317, -321, -321, -318, -302, -315, -315, -322, -316, -315, 
##     -320, -319, -323, -304, -319, -314, -299, -323, -313, -320, 
##     -315, -321, -320, -308, -316, -318, -318, -304, -311, -321, 
##     -322, -288, -309, -315, -309, -301, -309, -304, -313, -301, 
##     -317, -320, -318, -303, -312, -312, -305, -298, -318, -317, 
##     -307, -317, -304, -317, -315, -315, -315, -311, -318, -329, 
##     -326, -323, -326, -322, -324, -320, -315, -304, -323, -321, 
##     -308, -318, -315, -320, -306, -311, -319, -319, -310, -316, 
##     -298, -320, -301, -301, -316, -304, -300, -301, -317, -309, 
##     -309, -318, -315, -320, -309, -321, -328, -314, -326, -322, 
##     -323, -314, -321, -304, -316, -316, -321, -322, -324, -318, 
##     -320, -319, -320, -321, -310, -328, -324, -322, -317, -321, 
##     -310, -322, -318, -316, -313, -308, -309, -313, -313, -313, 
##     -306, -313, -308, -312, -314, -300, -302, -305, -299, -315, 
##     -318, -312, -320, -313, -320, -323, -312, -320, -319, -308, 
##     -320, -319, -321, -318, -315, -321, -321, -325, -324, -316, 
##     -320, -309, -321, -322, -327, -304, -303, -309, -297, -288, 
##     -296, -284, -302, -293, -282, -297, -302, -296, -295, -286, 
##     -294, -300, -300, -299, -306, -308, -312, -318, -313, -311, 
##     -314, -317, -317, -306, -296, -309, -296, -310, -304, -299, 
##     -299, -293, -303, -304, -292, -308, -299, -305, -304, -304, 
##     -303, -298, -292, -289, -319, -311, -318, -318, -320, -320, 
##     -316, -321, -313, -304, -317, -319, -320, -324, -324, -325, 
##     -322, -319, -324, -326, -306, -319, -318, -322, -313, -311, 
##     -319, -318, -308, -296, -308, -299, -305, -300, -296, -305, 
##     -312, -299, -311, -307, -313, -306, -316, -311, -310, -316, 
##     -312, -300, -313, -303, -307, -319, -297, -317, -312, -304, 
##     -315, -313, -314, -306, -306, -314, -306, -301, -305, -295, 
##     -308, -294, -294, -305, -299, -316, -311, -316, -297, -313, 
##     -305, -303, -296, -320, -423, -430, -421, -413, -425, -428, 
##     -418, -414, -432, -432, -436, -430, -433, -431, -426, -432, 
##     -416, -422, -410, -420, -433, -429, -430, -424, -423, -434, 
##     -432, -432, -417, -430, -428, -431, -415, -437, -430, -438, 
##     -431, -422, -417, -432, -433, -425, -432, -425, -433, -426, 
##     -437, -426, -435, -431, -440, -437, -444, -447, -436, -431, 
##     -420, -424, -428, -423, -430, -427, -423, -431, -420, -428, 
##     -430, -423, -431, -433, -426, -431, -426, -434, -437, -438, 
##     -437, -431, -428, -415, -429, -424, -426, -422, -423, -423, 
##     -411, -425, -427, -432, -432, -430, -432, -435, -432, -431, 
##     -432, -430, -435, -429, -437, -440, -431, -430, -434, -435, 
##     -435, -436, -422, -437, -438, -436, -440, -436, -441, -437, 
##     -439, -432, -434, -436, -429, -426, -440, -432, -433, -431, 
##     -422, -424, -420, -422, -411, -416, -415, -424, -424, -416, 
##     -421, -417, -416, -417, -418, -425, -424, -356, -353, -348, 
##     -361, -351, -354, -354, -365, -368, -352, -357, -366, -354, 
##     -376, -366, -373, -367, -366, -372, -356, -372, -370, -371, 
##     -373, -373, -374, -373, -372, -369, -364, -369, -370, -370, 
##     -360, -362, -362, -356, -365, -353, -364, -353, -369, -361, 
##     -369, -372, -378, -371, -377, -362, -378, -362, -379, -378, 
##     -373, -376, -375, -372, -379, -358, -365, -369, -376, -372, 
##     -367, -299, -301, -301, -313, -307, -306, -294, -301, -310, 
##     -313, -305, -309, -310, -308, -310, -312, -304, -309, -313, 
##     -316, -316, -312, -309, -315, -316, -315, -299, -310, -295, 
##     -309, -308, -306, -306, -315, -312, -313, -310, -316, -312, 
##     -312, -297, -303, -313, -311, -319, -305, -302, -294, -306, 
##     -295, -308, -313, -311, -304, -293, -304, -300, -308, -302, 
##     -308, -294, -299, -306, -304, -306, -299, -306, -290, -303, 
##     -304, -288, -304, -306, -295, -305, -304, -311, -309, -312, 
##     -307, -302, -313, -313, -308, -304, -308, -295, -300, -309, 
##     -306, -303, -287, -305, -295, -303, -297, -298, -285, -304, 
##     -303, -285, -295, -297, -309, -296, -305, -306, -307, -305, 
##     -301, -304, -301, -305, -305, -304, -301, -289, -300, -301, 
##     -289, -294, -299, -301, -304, -290, -305, -306, -303, -305, 
##     -306, -301, -298, -302, -300, -308, -292, -300, -307, -312, 
##     -312, -314, -305, -304, -314, -304, -305, -304, -315, -311, 
##     -307, -310, -289, -305, -286, -291, -303, -311, -303, -298, 
##     -303, -297, -304, -298, -298, -305, -305, -309, -303, -300, 
##     -311, -290, -301, -303, -303, -306, -305, -303, -305, -304, 
##     -311, -299, -308, -306, -309, -298, -296, -309, -305, -297, 
##     -300, -306, -304, -289, -307, -304, -293, -309, -309, -305, 
##     -305, -309, -297, -315, -302, -310, -304, -302, -306, -304, 
##     -298, -307, -306, -316, -306, -306, -370, -372, -381, -373, 
##     -374, -376, -379, -383, -376, -370, -381, -372, -380, -363, 
##     -371, -358, -383, -373, -379, -376, -380, -375, -373, -376, 
##     -372, -368, -365, -362, -367, -371, -366, -352, -367, -375, 
##     -374, -363, -353, -367, -369, -372, -370, -369, -348, -368, 
##     -368, -355, -367, -354, -368, -365, -370, -368, -370, -368, 
##     -368, -359, -371, -360, -359, -362, -356, -376, -354, -356, 
##     -368, -368, -372, -376, -371, -369, -370, -366, -370, -371, 
##     -369, -376, -364, -367, -360, -359, -372, -371, -372, -369, 
##     -373, -372, -368, -372, -371, -372, -358, -373, -377, -374, 
##     -378, -379, -372, -375, -373, -368, -366, -379, -363, -374, 
##     -375, -373, -371, -369, -370, -369, -372, -376, -369, -370, 
##     -369, -366, -374, -378, -372, -376, -374, -377, -368, -370, 
##     -376, -379, -377, -375, -376, -380, -375, -368, -381, -366, 
##     -384, -379, -381, -364, -372, -360, -379, -367, -366, -366, 
##     -372, -369, -369, -372, -372, -372, -376, -377, -369, -382, 
##     -370, -365, -358, -368, -371, -370, -370, -367, -376, -370, 
##     -375, -379, -365, -372, -370, -356, -366, -375, -357, -370, 
##     -371, -368, -360, -367, -365, -375, -372, -356, -370, -365, 
##     -362, -355, -364, -368, -368, -356, -370, -367, -370, -361, 
##     -368, -367, -352, -357, -354, -357, -370, -354, -355, -351, 
##     -370, -364, -370, -369, -371, -370, -371, -360, -378, -370, 
##     -357, -367, -373, -373, -375, -372, -371, -366, -372, -369, 
##     -369, -370, -362, -369, -370, -356, -368, -371, -354, -367, 
##     -366, -364, -366, -357, -372, -354, -360, -353, -358, -365, 
##     -367, -355, -365, -355, -360, -367, -360, -367, -352, -365, 
##     -371, -363, -354, -380, -379, -381, -361, -376, -379, -376, 
##     -363, -360, -374, -358, -366, -374, -373, -370, -374, -377, 
##     -356, -359, -370, -363, -354, -371, -369, -373, -371, -376, 
##     -367, -367, -360, -367, -355, -375, -372, -368, -368, -369, 
##     -379, -374, -363, -375, -351, -379, -369, -376, -374, -368, 
##     -369, -360, -379, -370, -361, -372, -377, -373, -370, -371, 
##     -370, -371, -361, -374, -376, -368, -370, -365, -370, -374, 
##     -367, -371, -368, -371, -364, -368, -359, -365, -368, -365, 
##     -372, -366, -367, -356, -370, -359, -350, -377, -356, -359, 
##     -375, -365, -374, -375, -363, -372, -362, -372, -371, -363, 
##     -362, -357, -351, -366, -369, -360, -361, -365, -364, -373, 
##     -372, -359, -360, -368, -370, -358, -371, -365, -370, -371, 
##     -371, -362, -366, -364, -352, -373, -361, -353, -426, -424, 
##     -435, -427, -429, -437, -438, -435, -437, -436, -426, -432, 
##     -432, -421, -436, -437, -436, -435, -442, -427, -434, -437, 
##     -439, -435, -440, -446, -435, -434, -435, -439, -433, -432, 
##     -434, -425, -434, -433, -434, -430, -440, -433, -438, -438, 
##     -434, -424, -428, -426, -433, -426, -437, -420, -423, -438, 
##     -435, -422, -438, -436, -435, -441, -439, -439, -422, -436, 
##     -432, -438, -425, -425, -434, -431, -420, -433, -437, -437, 
##     -429, -441, -427, -438, -440, -424, -432, -437, -434, -435, 
##     -435, -438, -429, -433, -431, -429, -431, -426, -421, -434, 
##     -435, -416, -431, -426, -417, -437, -419, -432, -426, -432, 
##     -419, -438, -434, -432, -433, -422, -424, -413, -422, -422, 
##     -417, -424, -424, -433, -420, -421, -434, -431, -434, -435, 
##     -438, -422, -440, -440, -433, -440, -435, -434, -422, -432, 
##     -419, -422, -428, -429, -433, -432, -429, -435, -431, -438, 
##     -429, -428, -435, -421, -432, -439, -432, -441, -434, -437, 
##     -433, -436, -441, -442, -437, -434, -432, -443, -438, -442, 
##     -421, -422, -424, -432, -422, -428, -431, -428, -427, -428, 
##     -422, -434, -431, -432, -438, -422, -435, -438, -433, -434, 
##     -431, -436, -430, -427, -431, -422, -412, -423, -422, -414, 
##     -427, -428, -418, -431, -431, -429, -424, -425, -421, -432, 
##     -432, -432, -438, -434, -434, -431, -433, -432, -424, -419, 
##     -421, -409, -434, -428, -427, -432, -427, -436, -436, -429, 
##     -423, -431, -430, -423, -428, -427, -428, -422, -424, -422, 
##     -427, -424, -425, -424, -429, -431, -418, -428, -433, -441, 
##     -438, -436, -433, -439, -424, -435, -425, -419, -430, -431, 
##     -431, -431, -430, -438, -431, -435, -423, -431, -424, -440, 
##     -441, -443, -438, -431, -434, -423, -432, -441, -436, -435, 
##     -428, -433, -428, -425, -429, -432, -427, -433, -430, -437, 
##     -424, -437, -428, -439, -445, -433, -425, -435, -432, -437, 
##     -431, -436, -430, -433, -429, -434, -421, -429, -430, -431, 
##     -434, -437, -442, -432, -435, -436, -437, -422, -426, -431, 
##     -433, -435, -435, -438, -433, -422, -430, -432, -432, -429, 
##     -431, -429, -431, -431, -430, -426, -433, -435, -434, -429, 
##     -439, -446, -438, -439, -423, -437, -433, -432, -430, -431, 
##     -431, -430, -430, -424, -429, -425, -438, -438, -419, -419, 
##     -433, -437, -433, -430, -434, -439, -424, -438, -414, -414, 
##     -430, -430, -430, -429, -432, -431, -443, -426, -432, -439, 
##     -431, -429, -429, -437, -426, -436, -430, -426, -440, -435, 
##     -429, -434, -437, -438, -435, -425, -439, -433, -435, -440, 
##     -438, -429, -433, -436, -436, -438, -432, -438, -422, -431, 
##     -434, -434, -434, -432, -429, -433, -423, -430, -428, -431, 
##     -424, -429, -429, -430, -302, -307, -309, -308, -310, -314, 
##     -314, -307, -300, -313, -317, -318, -298, -313, -305, -310, 
##     -305, -304, -311, -311, -321, -299, -315, -318, -312, -317, 
##     -322, -318, -315, -315, -315, -310, -314, -307, -307, -309, 
##     -298, -312, -308, -319, -306, -314, -306, -305, -308, -310, 
##     -315, -317, -308, -310, -307, -315, -311, -318, -306, -305, 
##     -312, -307, -311, -310, -295, -306, -309, -314, -315, -314, 
##     -312, -309, -327, -295, -316, -310, -325, -322, -313, -317, 
##     -320, -317, -320, -317, -319, -313, -314, -305, -314, -298, 
##     -318, -301, -317, -314, -304, -319, -311, -315, -315, -309, 
##     -300, -317, -311, -312, -308, -310, -310, -315, -314, -313, 
##     -296, -320, -311, -312, -316, -314, -313, -306, -315, -296, 
##     -309, -296, -307, -304, -302, -312, -313, -318, -298, -315, 
##     -314, -307, -309, -313, -316, -316, -325, -309, -313, -317, 
##     -315, -316, -323, -316, -322, -319, -318, -312, -318, -316, 
##     -316, -321, -312, -310, -310, -307, -299, -298, -297, -308, 
##     -305, -304, -305, -312, -305, -304, -307, -304, -309, -298, 
##     -306, -305, -308, -301, -297, -300, -291, -314, -302, -308, 
##     -314, -297, -309, -311, -313, -308, -298, -304, -318, -312, 
##     -316, -315, -319, -315, -310, -316, -303, -318, -313, -314, 
##     -310, -309, -312, -311, -299, -312, -302, -316, -298, -311, 
##     -307, -304, -306, -312, -308, -309, -304, -312, -308, -319, 
##     -311, -307, -315, -310, -308, -309, -301, -317, -313, -306, 
##     -315, -309, -311, -311, -310, -306, -301, -306, -306, -295, 
##     -315, -308, -301, -295, -301, -305, -303, -307, -301, -306, 
##     -287, -304, -296, -303, -296, -303, -308, -299, -306, -311, 
##     -302, -305, -304, -307, -313, -309, -310, -306, -307, -309, 
##     -305, -307, -298, -306, -316, -312, -307, -312, -308, -308, 
##     -295, -303, -303, -302, -303, -296, -299, -302, -283, -298, 
##     -295, -299, -293, -293, -301, -308, -289, -287, -289, -307, 
##     -307, -301, -312, -303, -290, -297, -301, -293, -306, -311, 
##     -297, -314, -310, -305, -312, -312, -312, -308, -293, -303, 
##     -304, -306, -288, -305, -299, -303, -304, -300, -288, -297, 
##     -304, -284, -301, -296, -293, -300, -313, -308, -313, -315, 
##     -312, -306, -297, -307, -304, -297, -305, -302, -311, -305, 
##     -304, -306, -301, -291, -301, -308, -306, -306, -313, -298, 
##     -302, -313, -307, -311, -311, -309, -318, -306, -315, -311, 
##     -316, -320, -324, -320, -321, -322, -323, -316, -313, -324, 
##     -311, -326, -327, -316, -313, -325, -314, -320, -317, -321, 
##     -317, -321, -299, -312, -316, -319, -314, -313, -312, -307, 
##     -314, -309, -310, -306, -312, -310, -304, -302, -309, -314, 
##     -309, -312, -308, -307, -311, -297, -311, -312, -297, -296, 
##     -306, -309, -313, -298, -300, -292, -299, -303, -313, -310, 
##     -312, -308, -297, -304, -296, -311, -307, -315, -310, -309, 
##     -310, -315, -313, -313, -310, -299, -290, -298, -293, -302, 
##     -300, -303, -300, -304, -299, -307, -303, -306, -292, -303, 
##     -303, -295, -303, -310, -311, -303, -299, -298, -304, -292, 
##     -301, -298, -286, -295, -293, -303, -305, -308, -299, -289, 
##     -298, -289, -301, -302, -298, -299, -302, -293, -288, -301, 
##     -304, -304, -299, -299, -296, -304, -293, -304, -305, -295, 
##     -311, -310, -303, -313, -299, -299, -305, -301, -308, -303, 
##     -305, -309, -305, -293, -307, -297, -305, -307, -306, -305, 
##     -305, -308, -297, -296, -302, -300, -300, -304, -303, -304, 
##     -287, -296, -309, -296, -301, -293, -308, -301, -305, -300, 
##     -302, -306, -305, -307, -306, -313, -305, -303, -301, -303, 
##     -308, -299, -299, -304, -305, -298, -293, -294, -289, -301, 
##     -302, -295, -301, -303, -298, -289, -305, -307, -297, -303, 
##     -289, -291, -302, -302, -298, -304, -289, -300, -293, -301, 
##     -299, -304, -306, -289, -301, -288, -306, -308, -301, -313, 
##     -307, -299, -303, -291, -306, -311, -302, -308, -304, -308, 
##     -309, -296, -295, -303, -311, -306, -307, -302, -305, -310, 
##     -298, -309, -300, -305, -299, -301, -298, -299, -303, -292, 
##     -293, -303, -298, -304, -295, -289, -287, -304, -311, -305, 
##     -302, -308, -301, -306, -304, -309, -305, -302, -305, -306, 
##     -312, -303, -310, -307, -307, -307, -307, -305, -304, -306, 
##     -308, -302, -304, -299, -300, -292, -295, -296, -295, -292, 
##     -296, -296, -289, -303, -297, -291, -294, -302, -301, -309, 
##     -303, -307, -298, -301, -314, -312, -297, -310, -312, -310, 
##     -310, -310, -304, -312, -305, -308, -304, -306, -298, -308, 
##     -309, -303, -306, -288, -300, -307, -304, -300, -303, -307, 
##     -301, -309, -294, -301, -298, -311, -307, -307, -295, -308, 
##     -307, -306, -308, -313, -312, -305, -315, -308, -313, -309, 
##     -300, -299, -301, -290, -303, -304, -309, -299, -301, -305, 
##     -309, -300, -292, -306, -296, -305, -314, -297, -309, -310, 
##     -310, -298, -313, -317, -308, -307, -310, -303, -313, -291, 
##     -312, -305, -309, -294, -297, -299, -305, -305, -303, -306, 
##     -300, -309, -304, -305, -303, -310, -296, -301, -306, -307, 
##     -305, -298, -307, -296, -298, -295, -307, -307, -312, -313, 
##     -306, -305, -290, -296, -312, -309, -310, -307, -296, -311, 
##     -305, -316, -312, -311, -303, -305, -299, -309, -304, -304, 
##     -305, -307, -288, -301, -302, -301, -305, -299, -304, -301, 
##     -304, -301, -301, -300, -283, -298, -304, -308, -301, -304, 
##     -303, -299, -301, -297, -298, -300, -306, -309, -307, -303, 
##     -299, -306, -291, -304, -311, -307, -307, -311, -307, -305, 
##     -307, -303, -302, -304, -304, -291, -305, -308, -304, -307, 
##     -307, -307, -311, -305, -309, -307, -310, -311, -307, -296, 
##     -314, -310, -311, -305, -300, -314, -304, -322, -308, -312, 
##     -303, -297, -309, -313, -308, -307, -309, -315, -306, -312, 
##     -319, -310, -319, -317, -307, -316, -316, -311, -316, -311, 
##     -310, -309, -315, -311, -309, -311, -306, -304, -308, -309, 
##     -305, -309, -312, -304, -309, -303, -312, -318, -296, -315, 
##     -316, -315, -311, -299, -313, -308, -319, -321, -315, -319, 
##     -319, -306, -305, -313, -307, -312, -309, -303, -305, -312, 
##     -313, -312, -305, -307, -296, -294, -302, -310, -296, -294, 
##     -310, -315, -319, -309, -309, -313, -308, -313, -303, -311, 
##     -314, -304, -311, -308, -314, -317, -312, -308, -312, -294, 
##     -306, -311, -312, -304, -310, -296, -309, -305, -312, -311, 
##     -311, -305, -293, -299, -287, -295, -282, -278, -293, -290, 
##     -296, -297, -297, -289, -293, -298, -280, -300, -287, -291, 
##     -297, -289, -299, -309, -290, -303, -303, -304, -297, -287, 
##     -300, -298, -298, -295, -301, -303, -300, -302, -299, -297, 
##     -300, -298, -296, -293, -304, -303, -304, -312, -305, -306, 
##     -305, -294, -309, -304, -306, -305, -306, -304, -308, -306, 
##     -295, -298, -312, -304, -296, -301, -314, -315, -311, -312, 
##     -313, -315, -307, -303, -311, -308, -306, -319, -314, -297, 
##     -297, -296, -302, -306, -302, -307, -307, -305, -299, -313, 
##     -296, -307, -296, -315, -297, -289, -311, -311, -319, -311, 
##     -308, -301, -309, -312, -303, -317, -312, -315, -311, -307, 
##     -312, -305, -319, -303, -309, -299, -314, -298, -309, -315, 
##     -317, -319, -319, -314, -316, -316, -306, -314, -319, -317, 
##     -312, -313, -309, -309, -303, -312, -315, -314, -307, -316, 
##     -320, -322, -321, -321, -315, -325, -318, -314, -317, -320, 
##     -315, -321, -313, -315, -312, -316, -314, -312, -308, -310, 
##     -314, -307, -301, -311, -315, -310, -320, -316, -315, -316, 
##     -317, -315, -313, -312, -302, -312, -319, -320, -321, -321, 
##     -313, -312, -311, -317, -302, -309, -309, -320, -308, -314, 
##     -320, -320, -322, -312, -298, -314, -321, -320, -306, -313, 
##     -324, -322, -320, -327, -310, -322, -318, -318, -309, -322, 
##     -320, -319, -322, -314, -319, -320, -321, -322, -316, -317, 
##     -326, -315, -321, -323, -318, -315, -325, -312, -313, -308, 
##     -317, -306, -313, -303, -312, -313, -306, -313, -311, -302, 
##     -314, -320, -313, -311, -297, -295, -313, -301, -300, -310, 
##     -315, -312, -309, -313, -313, -312, -317, -304, -309, -308, 
##     -307, -312, -309, -312, -310, -310, -306, -309, -297, -307, 
##     -317, -309, -303, -312, -312, -315, -312, -313, -309, -316, 
##     -311, -317, -317, -319, -315, -312, -319, -314, -317, -320, 
##     -312, -317, -320, -315, -310, -317, -307, -312, -308, -322, 
##     -319, -314, -322, -319, -305, -316, -313, -313, -315, -314, 
##     -305, -317, -308, -320, -309, -300, -309, -305, -314, -317, 
##     -311, -321, -307, -317, -312, -316, -315, -312, -313, -312, 
##     -311, -300, -308, -319, -318, -318, -313, -317, -315, -310, 
##     -302, -317, -313, -314, -319, -318, -315, -317, -310, -313, 
##     -324, -313, -313, -313, -317, -315, -311, -321, -315, -303, 
##     -308, -300, -310, -307, -307, -312, -300, -304, -311, -318, 
##     -310, -311, -314, -313, -306, -311, -313, -299, -309, -311, 
##     -304, -307, -308, -310, -311, -310, -318, -320, -314, -310, 
##     -313, -315, -311, -314, -313, -307, -318, -320, -305, -312, 
##     -318, -314, -316, -309, -316, -318, -311, -308, -314, -300, 
##     -303, -311, -315, -312, -304, -312, -319, -319, -306, -305, 
##     -313, -309, -305, -301, -307, -313, -308, -311, -307, -314, 
##     -310, -307, -313, -295, -297, -309, -298, -313, -310, -300, 
##     -309, -311, -311, -299, -307, -308, -305, -302, -304, -295, 
##     -306, -300, -309, -310, -309, -299, -303, -311, -307, -311, 
##     -313, -310, -309, -297, -314, -316, -309, -295, -313, -307, 
##     -309, -302, -313, -311, -307, -307, -310, -307, -302, -311, 
##     -297, -309, -313, -312, -298, -306, -299, -308, -312, -309, 
##     -306, -304, -307, -306, -297, -296, -292, -310, -304, -304, 
##     -312, -307, -315, -306, -315, -294, -300, -306, -310, -301, 
##     -318, -309, -307, -299, -312, -311, -311, -302, -314, -314, 
##     -305, -298, -311, -315, -301, -303, -311, -304, -313, -310, 
##     -304, -306, -312, -303, -313, -309, -314, -308, -314, -309, 
##     -296, -311, -306, -315, -315, -305, -306, -295, -307, -318, 
##     -307, -310, -303, -304, -305, -307, -310, -310, -299, -307, 
##     -310, -306, -311, -307, -313, -297, -307, -317, -320, -326, 
##     -311, -315, -303, -305, -307, -311, -318, -307, -312, -314, 
##     -310, -314, -313, -302, -304, -308, -317, -303, -303, -305, 
##     -298, -315, -296, -293, -299, -306, -312, -308, -310, -317, 
##     -314, -298, -309, -305, -308, -290, -293, -303, -308, -297, 
##     -303, -298, -301, -298, -303, -300, -303, -302, -290, -304, 
##     -292, -301, -295, -300, -297, -298, -305, -301, -304, -298, 
##     -304, -302, -292, -299, -295, -300, -296, -303, -304, -295, 
##     -295, -301, -301, -287, -291, -305, -291, -301, -302, -296, 
##     -280, -301, -303, -298, -296, -303, -303, -300, -301, -304, 
##     -297, -302, -289, -291, -304, -302, -305, -292, -297, -297, 
##     -301, -301, -284, -300, -302, -297, -301, -296, -298, -301, 
##     -304, -298, -303, -307, -309, -305, -313, -309, -308, -305, 
##     -308, -305, -301, -305, -304, -308, -310, -305, -294, -301, 
##     -309, -296, -312, -301, -297, -303, -316, -308, -311, -312, 
##     -299, -311, -300, -298, -297, -312, -303, -313, -314, -306, 
##     -305, -315, -311, -310, -319, -306, -313, -317, -314, -311, 
##     -313, -322, -315, -309, -309, -317, -307, -318, -301, -304, 
##     -298, -319, -324, -308, -315, -321, -303, -319, -305, -312, 
##     -316, -319, -317, -312, -316, -317, -318, -312, -321, -316, 
##     -314, -312, -302, -316, -301, -312, -315, -307, -316, -311, 
##     -310, -313, -313, -317, -312, -313, -315, -312, -324, -312, 
##     -319, -325, -303, -321, -314, -315, -302, -315, -317, -311, 
##     -314, -315, -319, -299, -317, -320, -318, -307, -310, -307, 
##     -315, -311, -303, -299, -312, -309, -311, -310, -303, -314, 
##     -315, -312, -313, -299, -320, -312, -326, -321, -323, -320, 
##     -323, -310, -313, -320, -322, -314, -315, -320, -322, -318, 
##     -325, -322, -319, -318, -318, -324, -318, -319, -316, -305, 
##     -320, -310, -331, -329, -310, -324, -319, -320, -329, -318, 
##     -329, -333, -331, -328, -324, -317, -331, -327, -337, -334, 
##     -330, -314, -320, -329, -314, -335, -331, -336, -330, -321, 
##     -316, -334, -316, -334, -327, -326, -315, -331, -328, -328, 
##     -332, -336, -330, -332, -319, -333, -328, -331, -336, -325, 
##     -319, -333, -327, -337, -326, -328, -329, -328, -334, -329, 
##     -334, -329, -334, -316, -328, -331, -331, -332, -316, -326, 
##     -336, -329, -330, -338, -336, -335, -332, -332, -332, -334, 
##     -337, -334, -337, -335, -344, -340, -342, -338, -333, -327, 
##     -339, -342, -335, -339, -341, -335, -338, -340, -337, -339, 
##     -334, -337, -339, -338, -336, -342, -340, -330, -338, -337, 
##     -342, -330, -334, -320, -342, -324, -323, -328, -337, -324, 
##     -338, -327, -321, -336, -330, -338, -322, -328, -335, -334, 
##     -336, -325, -339, -333, -320, -315, -328, -332, -335, -332, 
##     -333, -321, -336, -327, -334, -340, -338, -331, -333, -339, 
##     -333, -336, -338, -327, -337, -333, -334, -317, -335, -328, 
##     -314, -333, -333, -315, -335, -323, -325, -309, -316, -325, 
##     -326, -327, -329, -333, -319, -335, -331, -330, -337, -337, 
##     -325, -336, -336, -339, -343, -341, -335, -334, -340, -336, 
##     -333, -336, -335, -340, -340, -337, -344, -335, -343, -319, 
##     -332, -334, -336, -322, -328, -329, -323, -330, -340, -331, 
##     -334, -333, -331, -335, -321, -335, -339, -335, -336, -335, 
##     -330, -331, -338, -333, -340, -341, -325, -334, -336, -337, 
##     -324, -321, -334, -329, -332, -324, -335, -329, -334, -333, 
##     -335, -325, -317, -336, -328, -324, -334, -334, -319, -321, 
##     -334, -335, -317, -326, -332, -335, -336, -337, -336, -329, 
##     -333, -329, -331, -319, -335, -335, -336, -344, -337, -331, 
##     -340, -339, -337, -338, -329, -339, -342, -334, -336, -334, 
##     -335, -335, -335, -343, -336, -325, -337, -338, -335, -332, 
##     -338, -338, -336, -336, -313, -332, -332, -326, -337, -328, 
##     -337, -332, -337, -334, -335, -335, -327, -331, -327, -332, 
##     -333, -330, -321, -330, -329, -317, -333, -319, -321, -316, 
##     -317, -333, -325, -332, -327, -326, -337, -346, -342, -329, 
##     -342, -340, -335, -345, -322, -336, -335, -341, -335, -327, 
##     -336, -334, -342, -329, -339, -345, -345, -347, -348, -345, 
##     -354, -347, -350, -345, -338, -341, -347, -344, -345, -334, 
##     -344, -332, -350, -334, -345, -332, -344, -342, -342, -340, 
##     -330, -348, -335, -337, -340, -337, -331, -340, -337, -338, 
##     -345, -341, -330, -345, -336, -344, -338, -344, -338, -325, 
##     -337, -330, -335, -338, -334, -330, -331, -334, -335, -338, 
##     -335, -334, -338, -332, -340, -338, -325, -341, -337, -335, 
##     -338, -331, -339, -330, -340, -335, -331, -341, -339, -335, 
##     -341, -336, -338, -343, -325, -329, -325, -324, -335, -331, 
##     -334, -331, -334, -336, -339, -336, -335, -325, -343, -342, 
##     -340, -343, -324, -344, -341, -326, -327, -347, -336, -339, 
##     -340, -332, -337, -323, -336, -330, -335, -339, -345, -336, 
##     -336, -324, -336, -339, -329, -333, -319, -329, -335, -327, 
##     -328, -319, -335, -328, -337, -329, -330, -320, -325, -318, 
##     -332, -336, -332, -331, -335, -333, -323, -330, -329, -310, 
##     -320, -325, -315, -316, -321, -304, -320, -322, -316, -322, 
##     -322, -323, -328, -322, -317, -321, -318, -324, -320, -309, 
##     -305, -317, -317, -304, -316, -289, -298, -298, -287, -307, 
##     -302, -303, -297, -292, -296, -302, -284, -296, -306, -297, 
##     -296, -289, -302, -301, -304, -301, -306, -305, -305, -303, 
##     -302, -298, -301, -305, -304, -300, -300, -289, -300, -296, 
##     -300, -287, -296, -300, -300, -296, -298, -301, -315, -310, 
##     -307, -307, -303, -305, -307, -309, -296, -316, -293, -303, 
##     -313, -290, -295, -307, -292, -296, -439, -438, -441, -434, 
##     -441, -427, -440, -432, -433, -433, -436, -432, -427, -429, 
##     -421, -430, -410, -425, -429, -421, -437, -437, -430, -434, 
##     -433, -433, -414, -429, -427, -421, -425, -422, -424, -422, 
##     -425, -422, -421, -423, -426, -419, -429, -428, -423, -428, 
##     -437, -436, -439, -434, -435, -432, -436, -443, -434, -417, 
##     -429, -434, -426, -428, -432, -427, -432, -431, -420, -412, 
##     -421, -426, -420, -429, -434, -427, -421, -438, -432, -367, 
##     -372, -365, -357, -366, -368, -365, -364, -360, -363, -360, 
##     -361, -367, -360, -358, -360, -356, -362, -347, -358, -355, 
##     -373, -364, -370, -370, -367, -361, -362, -355, -357, -368, 
##     -371, -367, -373, -375, -376, -357, -366, -374, -375, -373, 
##     -368, -371, -372, -359, -375, -372, -368, -369, -372, -372, 
##     -366, -369, -368, -366, -373, -359, -375, -365, -371, -377, 
##     -359, -369, -363, -360, -349, -363, -371, -370, -369, -368, 
##     -369, -364, -366, -365, -364, -368, -352, -364, -362, -368, 
##     -365, -361, -367, -371, -370, -368, -369, -369, -362, -377, 
##     -373, -372, -369, -372, -367, -368, -377, -371, -374, -379, 
##     -374, -368, -366, -375, -370, -356, -361, -378, -359, -365, 
##     -368, -369, -372, -376, -369, -360, -297, -295, -308, -297, 
##     -301, -304, -296, -306, -313, -308, -306, -310, -307, -297, 
##     -303, -308, -293, -307, -317, -311, -312, -315, -316, -309, 
##     -308, -309, -303, -316, -313, -313, -316, -322, -305, -321, 
##     -322, -320, -326, -322, -318, -318, -310, -301, -321, -318, 
##     -313, -308, -318, -311, -307, -301, -306, -294, -312, -314, 
##     -310, -317, -318, -316, -315, -320, -312, -305, -299, -320, 
##     -314, -308, -318, -310, -313, -311, -317, -314, -304, -316, 
##     -302, -315, -317, -314, -313, -313, -311, -311, -312, -318, 
##     -325, -322, -315, -298, -319, -313, -312, -299, -298, -313, 
##     -311, -292, -315, -316, -313, -313, -317, -312, -312, -313, 
##     -307, -312, -311, -311, -308, -310, -316, -312, -306, -303, 
##     -313, -293, -312, -316, -305, -311, -310, -300, -304, -310, 
##     -312, -309, -314, -294, -315, -307, -312, -316, -313, -314, 
##     -311, -307, -320, -305, -299, -309, -305, -311, -306, -304, 
##     -306, -300, -293, -301, -307, -304, -309, -314, -309, -304, 
##     -296, -307, -296, -307, -316, -314, -306, -313, -307, -313, 
##     -310, -293, -294, -315, -311, -304, -300, -296, -308, -308, 
##     -308, -305, -307, -306, -305, -297, -304, -308, -309, -305, 
##     -306, -307, -308, -294, -292, -302, -307, -304, -304, -305, 
##     -280, -294, -292, -288, -353, -366, -373, -366, -367, -363, 
##     -358, -368, -375, -361, -366, -373, -373, -373, -375, -373, 
##     -380, -360, -365, -363, -373, -363, -362, -363, -373, -376, 
##     -372, -368, -375, -353, -370, -367, -367, -372, -367, -370, 
##     -368, -364, -366, -360, -362, -361, -361, -356, -355, -365, 
##     -352, -372, -361, -365, -358, -365, -367, -364, -361, -353, 
##     -350, -362, -354, -365, -362, -369, -367, -369, -376, -376, 
##     -370, -373, -373, -370, -365, -366, -376, -367, -381, -373, 
##     -375, -376, -374, -374, -360, -375, -370, -373, -377, -367, 
##     -354, -363, -375, -373, -363, -358, -351, -363, -354, -370, 
##     -368, -349, -344, -365, -360, -349, -360, -360, -349, -365, 
##     -367, -368, -365, -362, -366, -364, -368, -366, -366, -369, 
##     -361, -364, -366, -367, -367, -362, -362, -365, -354, -366, 
##     -358, -369, -366, -370, -378, -371, -369, -369, -363, -369, 
##     -366, -369, -368, -358, -355, -354, -366, -355, -358, -356, 
##     -363, -365, -369, -364, -370, -365, -363, -367, -368, -359, 
##     -353, -361, -371, -350, -353, -369, -368, -367, -356, -366, 
##     -362, -363, -349, -369, -362, -361, -366, -365, -372, -369, 
##     -368, -373, -369, -370, -359, -375, -370, -383, -383, -376, 
##     -359, -372, -368, -365, -365, -364, -366, -366, -372, -373, 
##     -370, -374, -368, -370, -370, -371, -361, -369, -366, -368, 
##     -366, -375, -371, -363, -371, -365, -367, -367, -368, -365, 
##     -359, -356, -369, -372, -361, -363, -362, -360, -358, -363, 
##     -361, -351, -360, -359, -355, -355, -354, -361, -360, -356, 
##     -359, -352, -355, -357, -347, -355, -362, -361, -365, -350, 
##     -353, -366, -355, -373, -368, -358, -369, -365, -348, -366, 
##     -369, -369, -355, -366, -352, -371, -372, -353, -369, -351, 
##     -352, -358, -355, -352, -360, -353, -352, -358, -361, -365, 
##     -368, -349, -362, -355, -362, -364, -356, -374, -370, -363, 
##     -368, -357, -367, -368, -374, -357, -374, -371, -373, -377, 
##     -373, -375, -375, -358, -371, -372, -370, -373, -373, -369, 
##     -369, -354, -365, -371, -375, -379, -368, -375, -360, -375, 
##     -362, -374, -375, -376, -359, -368, -370, -366, -355, -364, 
##     -364, -362, -368, -350, -373, -370, -368, -372, -375, -363, 
##     -360, -374, -376, -374, -381, -370, -371, -370, -377, -369, 
##     -360, -356, -354, -363, -368, -374, -376, -374, -370, -375, 
##     -368, -360, -367, -358, -361, -356, -360, -369, -367, -369, 
##     -367, -358, -370, -376, -374, -369, -369, -371, -362, -369, 
##     -369, -363, -347, -346, -350, -343, -326, -338, -323, -329, 
##     -336, -332, -334, -337, -335, -331, -336, -337, -334, -334, 
##     -337, -335, -317, -329, -330, -327, -329, -330, -331, -338, 
##     -329, -331, -333, -329, -339, -333, -323, -336, -338, -337, 
##     -341, -333, -336, -331, -336, -333, -326, -324, -330, -330, 
##     -328, -333, -330, -330, -328, -322, -320, -327, -325, -333, 
##     -318, -335, -333, -338, -335, -328, -314, -329, -315, -327, 
##     -332, -334, -329, -333, -334, -333, -323, -329, -337, -325, 
##     -334, -333, -328, -331, -331, -331, -328, -333, -331, -326, 
##     -337, -333, -335, -336, -334, -332, -337, -335, -327, -325, 
##     -338, -339, -339, -341, -334, -335, -335, -339, -321, -339, 
##     -331, -345, -333, -343, -336, -338, -344, -341, -326, -343, 
##     -334, -334, -336, -339, -335, -338, -316, -333, -317, -328, 
##     -330, -330, -327, -330, -326, -334, -334, -319, -334, -328, 
##     -333, -315, -328, -326, -327, -313, -325, -328, -318, -330, 
##     -329, -319, -316, -321, -331, -321, -331, -331, -330, -339, 
##     -334, -327, -332, -334, -322, -330, -337, -336, -335, -327, 
##     -335, -339, -335, -334, -337, -341, -330, -332, -337, -343, 
##     -339, -338, -335, -329, -332, -340, -331, -325, -312, -314, 
##     -330, -332, -331, -332, -333, -336, -332, -336, -336, -325, 
##     -344, -330, -341, -335, -337, -322, -337, -328, -329, -332, 
##     -333, -328, -333, -328, -336, -331, -329, -333, -324, -329, 
##     -338, -343, -342, -331, -339, -339, -344, -336, -339, -330, 
##     -338, -329, -335, -339, -328, -333, -328, -331, -315, -327, 
##     -333, -329, -327, -317, -332, -315, -328, -338, -338, -343, 
##     -340, -336, -323, -340, -336, -335, -346, -339, -340, -329, 
##     -339, -335, -338, -336, -337, -335, -328, -333, -344, -335, 
##     -333, -318, -331, -316, -307, -316, -316, -309, -307, -315, 
##     -316, -316, -324, -323, -321, -327, -309, -322, -321, -327, 
##     -317, -332, -328, -334, -330, -343, -336, -340, -335, -335, 
##     -328, -322, -311, -313, -309, -285, -290, -284, -432, -429, 
##     -434, -424, -424, -418, -418, -408, -399, -397, -384, -384, 
##     -376, -405, -411, -433, -463, -468, -526, -558, -566, -578, 
##     -574, -568, -570, -570, -570, -570, -577, -572, -566, -546, 
##     -545, -530, -505, -476, -465, -451, -414, -394, -391, -356, 
##     -348, -335, -327, -311, -294, -287, -260, -255, -223, -240, 
##     -217, -224, -232, -242, -236, -243, -247, -269, -272, -290, 
##     -290, -303, -312, -336, -362, -448, -494, -503, -519, -570, 
##     -588, -590, -589, -594, -596, -604, -599, -600, -597, -585, 
##     -599, -589, -584, -580, -570, -535, -529, -528, -524, -513, 
##     -495, -490, -479, -457, -440, -443, -418, -390, -376, -354, 
##     -299, -281, -265, -546, -545, -565, -575, -592, -605, -596, 
##     -596, -593, -568, -563, -556, -537, -530, -488, -486, -462, 
##     -444, -425, -394, -385, -346, -334, -288, -286, -266, -247, 
##     -239, -242, -217, -217, -219, -220, -218, -226, -235, -249, 
##     -249, -257, -277, -285, -297, -317, -326, -358, -365, -410, 
##     -458, -496, -496, -501, -443, -450, -477, -495, -503, -516, 
##     -539, -568, -579, -602, -606, -623, -614, -609, -621, -618, 
##     -613, -606, -600, -593, -570, -575, -563, -557, -550, -535, 
##     -531, -512, -507, -472, -438, -425, -406, -394, -389, -367, 
##     -353, -282, -258, -216, -224, -209, -202, -203, -190, -184, 
##     -183, -192, -194, -218, -219, -236, -241, -292, -305, -331, 
##     -329, -412, -424, -498, -513, -521, -553, -576, -581, -590, 
##     -607, -620, -614, -621, -616, -613, -612, -618, -599, -589, 
##     -572, -568, -554, -539, -523, -522, -481, -492, -468, -450, 
##     -405, -379, -359, -331, -335, -306, -309, -281, -251, -228, 
##     -212, -238, -235, -231, -235, -242, -258, -274, -281, -289, 
##     -298, -295, -342, -348, -365, -376, -407, -424, -444, -472, 
##     -481, -505, -527, -542, -541, -561, -568, -562, -590, -586, 
##     -583, -580, -566, -567, -561, -545, -538, -517, -482, -476, 
##     -417, -382, -389, -380, -353, -328, -309, -294, -253, -238, 
##     -242, -221, -221, -215, -218, -224, -224, -270, -292, -322, 
##     -336, -366, -374, -397, -419, -444, -465, -470, -486, -492, 
##     -496, -522, -538, -550, -569, -566, -572, -585, -599, -595, 
##     -599, -597, -579, -588, -572, -579, -563, -537, -545, -528, 
##     -500, -485, -492, -487, -445, -437, -401, -385, -375, -356, 
##     -342, -294, -269, -266, -249, -232, -232, -227, -223, -203, 
##     -204, -218, -224, -226, -236, -269, -278, -306, -323, -314, 
##     -392, -391, -404, -454, -457, -482, -491, -537, -543, -544, 
##     -561, -570, -598, -596, -611, -609, -612, -610, -615, -607, 
##     -596, -592, -607, -604, -595, -575, -579, -573, -571, -525, 
##     -502, -505, -483, -493, -473, -473, -451, -432, -413, -410, 
##     -386, -371, -361, -358, -359, -356, -355, -350, -358, -369, 
##     -384, -375, -377, -391, -398, -399, -405, -404, -403, -409, 
##     -401, -392, -405, -414, -413, -416, -408, -412, -414, -412, 
##     -413, -413, -403, -410, -411, -415, -414, -418, -416, -421, 
##     -402, -410, -303, -303, -306, -311, -307, -310, -311, -309, 
##     -320, -310, -311, -317, -301, -310, -310, -313, -315, -312, 
##     -314, -313, -308, -315, -316, -313, -298, -317, -307, -306, 
##     -311, -315, -312, -314, -316, -317, -317, -315, -314, -313, 
##     -315, -303, -307, -320, -308, -312, -318, -316, -315, -316, 
##     -306, -317, -308, -317, -316, -313, -314, -312, -321, -316, 
##     -321, -316, -314, -317, -314, -321, -320, -305, -321, -312, 
##     -318, -317, -310, -311, -306, -306, -311, -309, -308, -314, 
##     -309, -321, -297, -315, -299, -312, -298, -302, -304, -312, 
##     -315, -315, -301, -310, -303, -307, -316, -313, -313, -320, 
##     -318, -310, -316, -308, -309, -311, -314, -319, -319, -318, 
##     -310, -316, -308, -316, -312, -318, -323, -318, -302, -308, 
##     -309, -322, -313, -314, -310, -313, -307, -318, -316, -312, 
##     -306, -306, -298, -313, -308, -316, -316, -302, -313, -316, 
##     -313, -316, -308, -306, -315, -313, -299, -295, -314, -312, 
##     -297, -309, -307, -311, -306, -318, -311, -303, -307, -316, 
##     -306, -315, -301, -316, -312, -298, -314, -316, -309, -306, 
##     -312, -316, -309, -310, -307, -315, -299, -311, -305, -314, 
##     -296, -316, -309, -308, -303, -308, -293, -310, -303, -306, 
##     -310, -299, -310, -302, -307, -308, -307, -310, -306, -308, 
##     -296, -302, -310, -310, -304, -314, -308, -308, -307, -299, 
##     -318, -307, -302, -308, -307, -305, -308, -304, -304, -306, 
##     -304, -304, -308, -311, -305, -308, -302, -306, -306, -311, 
##     -306, -314, -311, -308, -310, -297, -309, -309, -313, -310, 
##     -308, -307, -308, -311, -309, -307, -315, -295, -314, -306, 
##     -304, -315, -312, -311, -293, -310, -297, -311, -311, -312, 
##     -307, -308, -304, -310, -313, -311, -307, -307, -316, -309, 
##     -300, -317, -320, -309, -312, -314, -305, -297, -311, -318, 
##     -311, -312, -318, -295, -312, -311, -307, -300, -308, -290, 
##     -307, -309, -296, -307, -306, -297, -304, -301, -299, -311, 
##     -307, -303, -306, -305, -306, -316, -309, -296, -312, -290, 
##     -307, -310, -304, -302, -302, -306, -311, -310, -309, -307, 
##     -313, -312, -297, -306, -306, -310, -309, -312, -306, -308, 
##     -312, -312, -310, -302, -313, -311, -314, -312, -310, -315, 
##     -302, -318, -317, -300, -314, -310, -315, -305, -295, -306, 
##     -306, -310, -310, -309, -309, -312, -297, -313, -311, -319, 
##     -306, -312, -313, -311, -309, -316, -308, -305, -307, -316, 
##     -318, -298, -309, -302, -313, -314, -310, -305, -302, -310, 
##     -304, -313, -298, -308, -309, -313, -305, -313, -305, -311, 
##     -312, -312, -311, -311, -313, -305, -314, -315, -308, -318, 
##     -308, -312, -312, -312, -319, -312, -296, -311, -300, -310, 
##     -306, -312, -305, -312, -313, -315, -305, -296, -309, -302, 
##     -302, -316, -313, -304, -318, -312, -318, -315, -318, -318, 
##     -319, -321, -317, -302, -319, -315, -316, -321, -305, -316, 
##     -318, -298, -307, -305, -305, -310, -321, -303, -301, -308, 
##     -315, -303, -315, -308, -314, -317, -309, -319, -308, -308, 
##     -314, -315, -305, -307, -304, -311, -315, -314, -324, -319, 
##     -315, -312, -315, -299, -312, -310, -297, -308, -308, -316, 
##     -308, -311, -313, -314, -303, -320, -315, -304, -298, -318, 
##     -316, -312, -308, -309, -315, -314, -316, -314, -322, -319, 
##     -316, -309, -308, -322, -313, -310, -317, -321, -317, -298, 
##     -310, -314, -313, -308, -308, -304, -314, -317, -295, -296, 
##     -317, -315, -316, -297, -309, -316, -311, -298, -313, -312, 
##     -300, -312, -312, -306, -315, -320, -305, -313, -313, -317, 
##     -312, -319, -322, -314, -303, -307, -300, -313, -313, -305, 
##     -293, -314, -309, -309, -314, -314, -309, -312, -315, -312, 
##     -297, -315, -310, -319, -309, -311, -311, -309, -308, -303, 
##     -305, -311, -310, -311, -303, -292, -306, -301, -307, -307, 
##     -314, -307, -293, -297, -306, -315, -289, -303, -297, -305, 
##     -294, -305, -305, -306, -307, -288, -304, -298, -288, -298, 
##     -307, -301, -287, -303, -302, -306, -305, -309, -308, -293, 
##     -298, -308, -308, -306, -304, -312, -302, -310, -300, -298, 
##     -304, -294, -307, -303, -306, -310, -304, -301, -293, -303, 
##     -297, -306, -295, -304, -294, -313, -306, -303, -296, -307, 
##     -302, -306, -305, -306, -314, -307, -306, -312, -310, -312, 
##     -309, -305, -297, -309, -303, -306, -307, -306, -305, -306, 
##     -306, -298, -297, -299, -299, -296, -297, -286, -284, -297, 
##     -288, -291, -294, -289, -288, -298, -294, -283, -303, -301, 
##     -310, -312, -318, -326, -325, -315, -314, -320, -308, -306, 
##     -315, -295, -304, -300, -296, -295, -301, -283, -289, -296, 
##     -291, -295, -296, -287, -295, -284, -300, -283, -295, -289, 
##     -279, -294, -289, -297, -274, -291, -295, -303, -306, -304, 
##     -306, -303, -293, -302, -293, -303, -301, -300, -304, -296, 
##     -281, -293, -291, -314, -307, -304, -298, -304, -304, -300, 
##     -305, -305, -307, -305, -294, -300, -305, -308, -313, -308, 
##     -305, -306, -305, -299, -293, -292, -306, -294, -287, -307, 
##     -303, -301, -297, -293, -292, -295, -298, -303, -301, -288, 
##     -299, -298, -298, -302, -304, -314, -301, -299, -298, -310, 
##     -309, -303, -304, -303, -296, -282, -303, -310, -292, -302, 
##     -297, -299, -288, -302, -295, -307, -294, -301, -299, -303, 
##     -307, -298, -303, -291, -293, -303, -310, -291, -293, -305, 
##     -302, -290, -288, -303, -301, -290, -293, -288, -299, -298, 
##     -292, -295, -301, -304, -303, -300, -296, -302, -286, -306, 
##     -302, -303, -301, -303, -288, -301, -311, -299, -301, -312, 
##     -292, -306, -304, -302, -308, -299, -278, -290, -302, -306, 
##     -296, -303, -303, -308, -308, -296, -287, -305, -301, -300, 
##     -303, -293, -308, -305, -306, -313, -305, -303, -306, -291, 
##     -295, -314, -307, -307, -297, -298, -303, -304, -306, -312, 
##     -311, -301, -307, -308, -295, -303, -304, -299, -302, -304, 
##     -305, -302, -302, -300, -306, -306, -285, -306, -301, -306, 
##     -295, -297, -302, -290, -300, -300, -309, -297, -304, -303, 
##     -304, -303, -305, -303, -296, -293, -305, -305, -303, -309, 
##     -299, -302, -296, -308, -302, -305, -304, -299, -306, -301, 
##     -297, -302, -300, -304, -305, -307, -304, -304, -304, -305, 
##     -311, -303, -307, -310, -306, -309, -306, -306, -305, -307, 
##     -310, -299, -307, -304, -308, -291, -294, -305, -306, -311, 
##     -309, -309, -305, -308, -301, -308, -300, -305, -294, -305, 
##     -304, -307, -303, -293, -303, -302, -303, -304, -303, -288, 
##     -304, -307, -287, -302, -302, -305, -308, -302, -305, -305, 
##     -299, -307, -301, -300, -300, -307, -294, -292, -287, -300, 
##     -302, -306, -305, -303, -303, -291, -297, -300, -299, -300, 
##     -294, -295, -304, -298, -301, -298, -298, -296, -296, -295, 
##     -297, -300, -296, -300, -295, -303, -293, -304, -305, -309, 
##     -294, -314, -325, -324, -336, -333, -340, -349, -351, -348, 
##     -358, -364, -324, -314, -302, -301, -299, -301, -294, -270, 
##     -264, -273, -270, -275, -279, -283, -289, -296, -350, -363, 
##     -359, -354, -351, -348, -331, -334, -343, -342, -343, -337, 
##     -332, -340, -341, -337, -335, -336, -336, -335, -322, -327, 
##     -331, -325, -321, -327, -309, -306, -298, -293, -298, -303, 
##     -306, -301, -304, -297, -300, -302, -294, -311, -293, -303, 
##     -303, -304, -304, -310, -290, -305, -299, -299, -303, -305, 
##     -301, -295, -299, -294, -304, -302, -300, -303, -300, -303, 
##     -304, -295, -306, -302, -287, -297, -302, -304, -297, -302, 
##     -293, -293, -286, -303, -296, -300, -294, -297, -302, -288, 
##     -295, -299, -300, -281, -299, -295, -306, -300, -305, -305, 
##     -293, -300, -310, -297, -305, -300, -304, -293, -293, -299, 
##     -298, -295, -291, -292, -287, -299, -302, -297, -309, -299, 
##     -298, -295, -297, -307, -309, -309, -305, -290, -304, -309, 
##     -302, -309, -291, -290, -308, -309, -303, -300, -299, -294, 
##     -292, -301, -308, -292, -304, -307, -305, -293, -304, -300, 
##     -307, -306, -301, -306, -312, -309, -304, -305, -301, -303, 
##     -305, -301, -312, -306, -293, -307, -311, -309, -303, -311, 
##     -313, -307, -313, -301, -303, -304, -288, -306, -309, -306, 
##     -305, -304, -330, -332, -317, -337, -331, -339, -333, -331, 
##     -328, -315, -330, -333, -331, -334, -321, -319, -319, -315, 
##     -322, -323, -312, -332, -322, -326, -321, -321, -323, -323, 
##     -317, -332, -334, -324, -340, -334, -334, -323, -336, -332, 
##     -339, -336, -334, -336, -336, -330, -322, -339, -335, -327, 
##     -333, -329, -328, -336, -336, -336, -318, -330, -325, -326, 
##     -328, -323, -328, -334, -336, -334, -336, -335, -338, -335, 
##     -339, -334, -335, -346, -331, -327, -335, -336, -330, -335, 
##     -333, -334, -335, -335, -333, -340, -327, -332, -333, -336, 
##     -331, -334, -330, -340, -331, -333, -333, -328, -331, -339, 
##     -334, -335, -318, -335, -328, -328, -338, -334, -328, -334, 
##     -334, -328, -333, -325, -333, -334, -331, -336, -336, -331, 
##     -339, -333, -319, -326, -332, -330, -327, -324, -321, -317, 
##     -327, -324, -328, -322, -317, -314, -329, -326, -324, -322, 
##     -309, -309, -331, -315, -312, -318, -315, -325, -334, -328, 
##     -337, -324, -331, -335, -324, -328, -325, -312, -321, -319, 
##     -332, -332, -329, -324, -312, -327, -323, -328, -323, -331, 
##     -326, -327, -332, -322, -326, -335, -337, -333, -328, -339, 
##     -333, -331, -331, -332, -328, -330, -330, -318, -328, -326, 
##     -335, -336, -333, -331, -322, -329, -336, -332, -338, -338, 
##     -323, -329, -321, -325, -330, -329, -331, -333, -332, -327, 
##     -332, -325, -327, -320, -335, -325, -331, -316, -319, -335, 
##     -337, -338, -325, -336, -334, -336, -338, -338, -334, -319, 
##     -336, -332, -330, -338, -338, -343, -335, -339, -325, -333, 
##     -335, -337, -333, -333, -337, -335, -329, -332, -333, -323, 
##     -331, -340, -328, -327, -332, -321, -331, -319, -315, -327, 
##     -332, -330, -312, -327, -330, -312, -324, -323, -329, -332, 
##     -332, -328, -328, -326, -333, -321, -327, -320, -318, -332, 
##     -326, -334, -324, -332, -333, -328, -330, -338, -325, -334, 
##     -335, -328, -331, -321, -333, -323, -332, -332, -330, -334, 
##     -336, -335, -328, -333, -334, -332, -313, -324, -327, -328, 
##     -330, -326, -329, -328, -325, -335, -328, -324, -332, -331, 
##     -326, -310, -328, -323, -324, -311, -322, -332, -324, -328, 
##     -312, -313, -317, -323, -330, -321, -324, -326, -321, -322, 
##     -324, -327, -289, -298, -293, -287, -301, -292, -297, -287, 
##     -295, -298, -296, -292, -292, -302, -298, -306, -285, -301, 
##     -299, -298, -296, -301, -298, -296, -296, -305, -310, -312, 
##     -305, -315, -313, -320, -310, -316, -314, -316, -318, -312, 
##     -311, -307, -314, -311, -308, -316, -296, -316, -297, -316, 
##     -312, -311, -309, -307, -308, -308, -311, -315, -316, -312, 
##     -317, -316, -304, -306, -312, -315, -303, -315, -306, -312, 
##     -307, -312, -312, -309, -308, -314, -314, -310, -319, -314, 
##     -314, -297, -311, -315, -312, -317, -305, -312, -302, -313, 
##     -315, -311, -302, -309, -303, -394, -358, -354, -335, -252, 
##     -239, -225, -205, -211, -214, -222, -208, -229, -241, -294, 
##     -304, -328, -365, -410, -530, -544, -544, -609, -613, -612, 
##     -610, -615, -609, -605, -606, -595, -588, -577, -567, -555, 
##     -555, -535, -516, -511, -510, -483, -468, -468, -440, -428, 
##     -319, -283, -271, -241, -243, -221, -228, -217, -210, -184, 
##     -188, -188, -188, -186, -187, -204, -212, -214, -203, -237, 
##     -241, -249, -292, -310, -329, -380, -390, -435, -443, -464, 
##     -472, -528, -603, -607, -600, -605, -583, -590, -591, -573, 
##     -577, -560, -548, -554, -552, -531, -527, -515, -498, -478, 
##     -436, -416, -410, -375, -363, -343, -321, -248, -250, -230, 
##     -223, -229, -237, -241, -231, -251, -262, -262, -295, -350, 
##     -365, -353, -383, -425, -446, -498, -513, -527, -574, -579, 
##     -573, -592, -590, -357, -368, -358, -361, -366, -360, -366, 
##     -362, -364, -355, -367, -362, -365, -361, -365, -363, -341, 
##     -347, -350, -352, -354, -364, -353, -352, -358, -347, -365, 
##     -352, -360, -367, -365, -369, -366, -363, -357, -376, -364, 
##     -374, -372, -375, -362, -376, -365, -363, -360, -367, -364, 
##     -369, -367, -369, -361, -372, -352, -364, -368, -352, -370, 
##     -354, -360, -361, -367, -363, -369, -366, -351, -358, -361, 
##     -357, -363, -348, -357, -364, -364, -344, -364, -345, -362, 
##     -367, -361, -366, -362, -364, -349, -362, -365, -364, -362, 
##     -308, -312, -309, -310, -292, -305, -315, -299, -311, -310, 
##     -307, -303, -294, -307, -308, -304, -304, -307, -300, -307, 
##     -305, -312, -307, -295, -304, -309, -300, -309, -308, -314, 
##     -315, -312, -309, -304, -299, -312, -304, -308, -312, -310, 
##     -316, -298, -316, -311, -312, -312, -316, -307, -320, -318, 
##     -309, -315, -304, -303, -244, -221, -208, -176, -140, -115, 
##     -9, 11, 32, 67, 65, 123, 161, 168, 178, 221, 227, 239, 248, 
##     240, 249, 266, 271, 276, 279, 277, 276, 287, 284, 293, 286, 
##     283, 278, 276, 284, 281, 284, 281, 282, 281, 289, -310, -296, 
##     -307, -351, -333, -329, -328, -301, -297, -277, -266, -266, 
##     -265, -262, -252, -269, -260, -277, -272, -273, -270, -269, 
##     -261, -275, -273, -272, -288, -310, -332, -339, -349, -363, 
##     -376, -423, -441, -454, -463, -471, -481, -481, -470, -494, 
##     -511, -504, -509, -512, -508, -504, -513, -493, -503, -506, 
##     -500, -487, -461, -423, -415, -399, -388, -375, -375, -365, 
##     -354, -333, -334, -334, -321, -310, -295, -283, -305, -281, 
##     -276, -271, -271, -277, -273, -296, -293, -310, -311, -328, 
##     -326, -317, -304, -328, -339, -327, -335, -345, -344, -355, 
##     -352, -370, -382, -383, -383, -376, -392, -390, -400, -398, 
##     -397, -396, -390, -377, -362, -375, -371, -370, -384, -380, 
##     -368, -372, -391, -393, -388, -400, -404, -406, -410, -404, 
##     -407, -411, -416, -415, -407, -411, -400, -374, -373, -373, 
##     -367, -367, -348, -333, -325, -336, -324, -336, -331, -326, 
##     -287, -261, -271, -268, -274, -269, -271, -268, -267, -275, 
##     -267, -276, -311, -345, -342, -353, -352, -362, -361, -366, 
##     -385, -378, -411, -407, -415, -416, -423, -422, -433, -431, 
##     -434, -418, -427, -416, -417, -413, -403, -406, -393, -374, 
##     -370, -342, -328, -317, -286, -277, -258, -256, -255, -241, 
##     -236, -240, -228, -228, -213, -207, -214, -218, -212, -221, 
##     -223, -217, -208, -226, -227, -236, -239, -238, -255, -254, 
##     -259, -287, -300, -309, -361, -361, -357, -370, -385, -392, 
##     -420, -417, -423, -410, -426, -439, -426, -431, -439, -434, 
##     -434, -455, -453, -446, -455, -449, -445, -445, -441, -436, 
##     -428, -412, -392, -377, -361, -349, -338, -303, -289, -267, 
##     -271, -255, -261, -251, -255, -252, -245, -233, -237, -235, 
##     -232, -236, -231, -230, -238, -232, -232, -234, -223, -236, 
##     -244, -247, -251, -268, -283, -312, -336, -353, -367, -371, 
##     -389, -394, -397, -404, -405, -404, -420, -424, -423, -436, 
##     -435, -434, -432, -426, -423, -426, -415, -416, -397, -396, 
##     -358, -338, -343, -327, -326, -314, -319, -307, -293, -286, 
##     -274, -271, -267, -256, -250, -264, -242, -251, -257, -249, 
##     -261, -254, -432, -412, -418, -406, -384, -367, -342, -327, 
##     -325, -337, -323, -292, -274, -277, -261, -268, -253, -250, 
##     -237, -248, -247, -255, -281, -291, -313, -327, -336, -338, 
##     -413, -419, -442, -434, -438, -424, -443, -447, -439, -433, 
##     -442, -433, -442, -417, -424, -412, -399, -387, -384, -382, 
##     -370, -366, -351, -344, -352, -307, -289, -279, -260, -260, 
##     -253, -254, -238, -252, -247, -248, -245, -236, -253, -260, 
##     -247, -271, -291, -311, -306, -318, -352, -351, -362, -374, 
##     -380, -383, -395, -398, -406, -423, -412, -412, -414, -423, 
##     -434, -243, -236, -230, -242, -229, -242, -247, -232, -251, 
##     -253, -257, -250, -290, -335, -338, -340, -353, -364, -370, 
##     -382, -380, -385, -390, -416, -420, -424, -433, -422, -431, 
##     -426, -437, -443, -441, -446, -452, -451, -455, -449, -444, 
##     -420, -407, -391, -383, -363, -359, -353, -342, -335, -305, 
##     -311, -295, -275, -233, -207, -205, -187, -186, -182, -174, 
##     -187, -186, -196, -197, -197, -224, -232, -249, -253, -263, 
##     -289, -319, -360, -388, -401, -405, -450, -439, -474, -468, 
##     -471, -474, -466, -465, -465, -452, -437, -430, -421, -418, 
##     -389, -379, -375, -358, -355, -349, -343, -314, -309, -303, 
##     -298, -276, -248, -253, -248, -253, -227, -241, -246, -244, 
##     -251, -248, -251, -256, -272, -264, -290, -288, -303, -289, 
##     -323, -321, -335, -351, -368, -371, -378, -393, -396, -396, 
##     -420, -424, -433, -441, -480, -480, -481, -482, -483, -485, 
##     -469, -472, -458, -461, -460, -450, -455, -433, -422, -416, 
##     -386, -370, -355, -349, -338, -317, -312, -308, -305, -298, 
##     -274, -280, -272, -284, -275, -286, -275, -284, -286, -285, 
##     -278, -288, -270, -277, -283, -273, -289, -280, -268, -274, 
##     -287, -268, -284, -284, -286, -285, -272, -284, -286, -278, 
##     -287, -279, -288, -291, -271, -288, -289, -286, -269, -289, 
##     -293, -289, -287, -293, -286, -281, -281, -284, -296, -293, 
##     -282, -281, -295, -300, -285, -290, -299, -295, -305, -308, 
##     -312, -313, -311, -313, -315, -317, -317, -311, -315, -315, 
##     -316, -315, -310, -312, -312, -315, -310, -300, -312, -309, 
##     -307, -310, -300, -309, -308, -304, -304, -309, -306, -304, 
##     -340, -322, -330, -353, -363, -368, -402, -404, -447, -466, 
##     -475, -480, -487, -488, -477, -496, -508, -502, -507, -508, 
##     -510, -527, -514, -478, -465, -438, -410, -365, -358, -354, 
##     -352, -350, -354, -349, -344, -347, -353, -346, -347, -380, 
##     -394, -390, -416, -419, -439, -433, -467, -474, -486, -476, 
##     -478, -477, -486, -473, -486, -497, -491, -479, -471, -474, 
##     -476, -459, -467, -457, -449, -438, -415, -396, -383, -376, 
##     -364, -360, -348, -344, -348, -336, -354, -341, -352, -349, 
##     -356, -352, -357, -354, -345, -355, -364, -381, -387, -373, 
##     -402, -391, -418, -439, -444, -458, -472, -469, -474, -477, 
##     -468, -486, -498, -497, -498, -501, -501, -468, -477, -446, 
##     -448, -415, -413, -396, -384, -359, -373, -357, -338, -332, 
##     -319, -328, -304, -323, -323, -316, -342, -341, -338, -288, 
##     -289, -294, -318, -320, -366, -388, -403, -403, -415, -428, 
##     -437, -472, -468, -479, -493, -504, -507, -514, -518, -529, 
##     -526, -533, -540, -533, -543, -541, -536, -530, -522, -527, 
##     -522, -488, -480, -437, -403, -386, -389, -360, -352, -343, 
##     -330, -325, -309, -317, -287, -296, -277, -292, -286, -289, 
##     -269, -277, -268, -273, -287, -290, -284, -290, -316, -316, 
##     -323, -349, -384, -390, -396, -405, -412, -425, -468, -469, 
##     -492, -495, -488, -490, -517, -524, -531, -530, -535, -541, 
##     -542, -537, -559, -556, -548, -532, -541, -538, -529, -527, 
##     -454, -437, -436, -432, -422, -416, -414, -386, -397, -367, 
##     -368, -355, -352, -333, -321, -326, -308, -322, -316, -302, 
##     -299, -297, -291, -298, -311, -313, -326, -324, -351, -354, 
##     -368, -369, -392, -397, -402, -418, -422, -440, -436, -442, 
##     -463, -478, -480, -493, -502, -509, -516, -512, -519, -511, 
##     -521, -516, -525, -525, -518, -527, -520, -525, -525, -523, 
##     -513, -517, -508, -496, -487, -477, -454, -452, -433, -436, 
##     -433, -415, -418, -415, -406, -406, -400, -395, -376, -367, 
##     -366, -343, -349, -334, -333, -326, -316, -324, -319, -321, 
##     -327, -326, -315, -333, -342, -324, -334, -344, -350, -345, 
##     -360, -368, -367, -388, -388, -390, -392, -402, -401, -400, 
##     -408, -419, -432, -440, -460, -466, -472, -475, -502, -509, 
##     -513, -511, -534, -540, -543, -548, -538, -544, -532, -543, 
##     -543, -533, -521, -512, -512, -505, -475, -479, -472, -460, 
##     -440, -414, -388, -395, -388, -366, -357, -326, -326, -288, 
##     -287, -266, -247, -259, -253, -250, -259, -248, -242, -259, 
##     -249, -271, -272, -268, -291, -301, -301, -315, -324, -335, 
##     -360, -371, -396, -405, -422, -428, -435, -459, -466, -465, 
##     -494, -497, -512, -536, -535, -543, -532, -550, -555, -551, 
##     -543, -548, -557, -548, -544, -542, -538, -527, -516, -492, 
##     -490, -480, -472, -459, -452, -442, -436, -419, -405, -374, 
##     -376, -355, -352, -319, -295, -296, -276, -272, -280, -298, 
##     -287, -308, -305, -324, -330, -326, -350, -355, -389, -386, 
##     -403, -427, -437, -456, -469, -469, -478, -483, -497, -520, 
##     -517, -530, -539, -534, -542, -549, -547, -555, -557, -557, 
##     -559, -559, -563, -560, -551, -562, -558, -547, -538, -550, 
##     -550, -541, -528, -530, -528, -510, -502, -496, -480, -475, 
##     -467, -454, -430, -426, -396, -384, -372, -341, -336, -328, 
##     -315, -307, -299, -289, -256, -241, -242, -237, -247, -269, 
##     -263, -291, -286, -296, -308, -316, -353, -359, -380, -387, 
##     -384, -406, -399, -417, -420, -436, -448, -458, -483, -489, 
##     -506, -516, -528, -543, -545, -547, -549, -543, -549, -546, 
##     -545, -542, -534, -525, -523, -534, -518, -506, -489, -492, 
##     -487, -459, -448, -426, -431, -416, -407, -360, -336, -333, 
##     -318, -303, -273, -269, -271, -267, -253, -274, -268, -271, 
##     -275, -285, -293, -295, -303, -315, -317, -320, -334, -347, 
##     -352, -367, -369, -383, -382, -552, -544, -531, -544, -537, 
##     -529, -525, -505, -512, -496, -489, -483, -474, -433, -423, 
##     -389, -365, -359, -332, -333, -323, -313, -313, -302, -286, 
##     -288, -280, -274, -271, -281, -289, -293, -303, -301, -304, 
##     -302, -318, -332, -334, -345, -355, -376, -380, -376, -413, 
##     -433, -441, -478, -499, -497, -520, -527, -532, -549, -551, 
##     -544, -544, -557, -553, -551, -547, -548, -544, -538, -526, 
##     -520, -501, -474, -454, -452, -428, -426, -424, -395, -375, 
##     -384, -364, -357, -341, -337, -327, -319, -305, -313, -314, 
##     -319, -322, -325, -330, -337, -352, -370, -383, -383, -387, 
##     -399, -411, -427, -456, -489, -488, -491, -496, -505, -499, 
##     -495, -517, -504, -521, -525, -532, -532, -529, -542, -537, 
##     -532, -543, -544, -545, -547, -541, -534, -518, -511, -516, 
##     -509, -504, -477, -454, -410, -383, -387, -360, -356, -343, 
##     -292, -295, -296, -286, -275, -287, -275, -277, -286, -294, 
##     -288, -290, -279, -298, -301, -306, -300, -308, -292, -299, 
##     -297, -323, -309, -323, -319, -329, -326, -333, -322, -328, 
##     -336, -345, -344, -344, -345, -335, -343, -343, -331, -326, 
##     -310, -320, -322, -330, -325, -337, -322, -344, -361, -365, 
##     -353, -366, -379, -371, -377, -377, -380, -382, -376, -371, 
##     -382, -383, -380, -361, -366, -368, -353, -359, -371, -361, 
##     -367, -365, -367, -366, -362, -360, -356, -351, -357, -371, 
##     -364, -360, -362, -352, -358, -362, -343, -352, -347, -364, 
##     -358, -363, -358, -346, -366, -362, -367, -369, -353, -418, 
##     -405, -417, -415, -421, -409, -423, -423, -420, -422, -425, 
##     -418, -420, -421, -421, -423, -424, -429, -418, -423, -430, 
##     -422, -424, -416, -428, -422, -433, -431, -429, -418, -428, 
##     -404, -431, -425, -405, -415, -423, -421, -417, -419, -410, 
##     -418, -424, -421, -419, -417, -403, -411, -422, -417, -418, 
##     -412, -414, -417, -424, -407, -426, -424, -413, -421, -417, 
##     -422, -430, -416, -424, -407, -426, -420, -425, -423, -422, 
##     -424, -427, -426, -427, -424, -426, -427, -423, -418, -418, 
##     -415, -411, -429, -419, -430, -423, -429, -426, -426, -417, 
##     -425, -417, -417, -417, -419, -408, -420, -410, -427, -423, 
##     -421, -417, -425, -421, -428, -430, -415, -425, -424, -427, 
##     -426, -423, -423, -423, -416, -419, -424, -414, -403, -405, 
##     -417, -427, -412, -420, -414, -425, -430, -425, -425, -420, 
##     -417, -418, -414, -414, -407, -419, -412, -411, -410, -413, 
##     -417, -418, -420, -422, -425, -427, -429, -433, -422, -425, 
##     -429, -428, -424, -427, -436, -432, -419, -424, -426, -426, 
##     -420, -418, -418, -419, -431, -428, -433, -422, -425, -425, 
##     -429, -423, -429, -420, -415, -413, -418, -414, -417, -415, 
##     -419, -422, -417, -419, -430, -419, -420, -414, -429, -428, 
##     -428, -416, -422, -429, -427, -428, -429, -423, -428, -427, 
##     -420, -420, -417, -429, -427, -426, -421, -423, -426, -427, 
##     -433, -424, -423, -422, -418, -416, -416, -420, -418, -402, 
##     -422, -418, -421, -413, -419, -422, -425, -414, -421, -424, 
##     -425, -431, -418, -424, -413, -421, -421, -425, -410, -421, 
##     -423, -422, -418, -425, -422, -422, -425, -423, -424, -425, 
##     -426, -404, -416, -411, -412, -416, -415, -415, -417, -403, 
##     -412, -408, -415, -412, -417, -415, -403, -416, -402, -425, 
##     -426, -428, -431, -429, -418, -420, -431, -421, -425, -427, 
##     -424, -407, -424, -422, -426, -422, -415, -415, -419, -409, 
##     -420, -417, -417, -418, -421, -422, -420, -407, -426, -419, 
##     -418, -417, -417, -418, -419, -405, -414, -414, -409, -401, 
##     -410, -409, -408, -410, -400, -414, -414, -417, -421, -418, 
##     -414, -414, -419, -421, -425, -425, -430, -418, -430, -416, 
##     -427, -426, -421, -427, -420, -422, -424, -424, -419, -420, 
##     -412, -421, -409, -415, -414, -412, -401, -415, -415, -413, 
##     -411, -412, -416, -414, -412, -399, -412, -415, -406, -408, 
##     -417, -421, -418, -416, -422, -416, -411, -427, -410, -415, 
##     -416, -422, -421, -421, -418, -420, -410, -415, -410, -422, 
##     -415, -417, -419, -424, -407, -425, -418, -421, -406, -409, 
##     -416, -415, -415, -416, -418, -412, -412, -419, -415, -405, 
##     -423, -402, -421, -419, -415, -416, -423, -423, -418, -408, 
##     -428, -429, -422, -432, -418, -423, -425, -430, -427, -416, 
##     -415, -414, -413, -397, -367, -359, -338, -314, -296, -291, 
##     -301, -299, -302, -294, -304, -294, -302, -288, -304, -286, 
##     -304, -302, -297, -302, -304, -283, -304, -303, -302, -289, 
##     -301, -301, -291, -302, -298, -304, -300, -294, -292, -302, 
##     -300, -301, -301, -308, -292, -301, -305, -306, -294, -299, 
##     -303, -303, -301, -308, -321, -333, -339, -376, -378, -407, 
##     -405, -422, -424, -434, -428, -433, -431, -420, -411, -401, 
##     -395, -384, -332, -285, -278, -269, -254, -245, -239, -246, 
##     -242, -234, -255, -262, -263, -264, -281, -316, -325, -338, 
##     -354, -392, -400, -427, -419, -440, -448, -447, -436, -446, 
##     -452, -440, -450, -439, -440, -432, -427, -421, -428, -418, 
##     -390, -365, -319, -319, -304, -282, -270, -286, -265, -267, 
##     -277, -275, -278, -289, -289, -290, -298, -282, -308, -339, 
##     -366, -382, -403, -405, -444, -448, -446, -445, -447, -449, 
##     -452, -438, -454, -444, -442, -430, -412, -377, -360, -346, 
##     -319, -320, -308, -298, -278, -291, -270, -282, -284, -290, 
##     -295, -299, -303, -298, -313, -309, -319, -333, -329, -378, 
##     -393, -413, -433, -436, -448, -466, -461, -451, -442, -417, 
##     -417, -409, -403, -368, -351, -345, -311, -305, -305, -303, 
##     -302, -311, -306, -307, -308, -310, -324, -326, -328, -338, 
##     -328, -352, -401, -461, -445, -461, -475, -471, -468, -460, 
##     -463, -466, -444, -380, -355, -326, -315, -314, -305, -292, 
##     -294, -301, -301, -299, -284, -301, -302, -301, -299, -305, 
##     -302, -305, -306, -312, -313, -315, -319, -327, -341, -355, 
##     -354, -372, -370, -388, -395, -419, -435, -428, -455, -458, 
##     -460, -456, -464, -457, -448, -442, -449, -442, -419, -406, 
##     -360, -329, -339, -328, -321, -316, -288, -280, -293, -277, 
##     -289, -295, -293, -293, -271, -291, -288, -297, -296, -309, 
##     -317, -333, -362, -372, -377, -379, -408, -409, -436, -452, 
##     -453, -456, -443, -454, -441, -409, -416, -397, -400, -370, 
##     -375, -352, -343, -327, -318, -305, -295, -288, -298, -295, 
##     -294, -295, -301, -301, -309, -291, -288, -292, -290, -288, 
##     -298, -302, -306, -325, -316, -354, -358, -381, -385, -401, 
##     -388, -408, -417, -415, -409, -406, -390, -395, -387, -360, 
##     -352, -341, -320, -288, -297, -295, -285, -286, -283, -283, 
##     -289, -274, -317, -296, -302, -295, -286, -286, -289, -277, 
##     -287, -289, -298, -289, -289, -296, -298, -294, -302, -301, 
##     -300, -298, -305, -301, -303, -301, -296, -303, -303, -305, 
##     -301, -302, -301, -302, -290, -302, -304, -302, -297, -286, 
##     -300, -298, -307, -292, -300, -291, -291, -303, -306, -307, 
##     -303, -305, -305, -307, -306, -300, -290, -306, -310, -306, 
##     -306, -303, -290, -318, -304, -316, -316, -322, -321, -334, 
##     -335, -361, -370, -378, -411, -431, -431, -440, -448, -454, 
##     -460, -455, -448, -462, -468, -470, -471, -481, -484, -479, 
##     -485, -491, -487, -507, -508, -505, -495, -505, -502, -501, 
##     -496, -494, -466, -447, -458, -450, -428, -413, -400, -390, 
##     -380, -367, -351, -345, -337, -316, -307, -303, -300, -270, 
##     -255, -263, -257, -255, -252, -243, -245, -251, -244, -260, 
##     -259, -256, -265, -267, -270, -274, -266, -280, -297, -327, 
##     -326, -338, -349, -396, -404, -414, -452, -459, -453, -463, 
##     -491, -470, -485, -497, -499, -512, -507, -509, -518, -519, 
##     -516, -511, -512, -514, -506, -508, -495, -495, -484, -479, 
##     -464, -439, -421, -384, -360, -345, -341, -332, -324, -314, 
##     -293, -296, -298, -294, -289, -274, -271, -267, -273, -273, 
##     -306, -303, -295, -293, -309, -308, -314, -316, -328, -314, 
##     -331, -341, -370, -380, -397, -397, -417, -413, -435, -454, 
##     -478, -477, -476, -480, -492, -488, -497, -497, -490, -497, 
##     -499, -495, -488, -483, -480, -478, -449, -447, -423, -410, 
##     -403, -392, -386, -362, -367, -365, -350, -340, -316, -319, 
##     -306, -287, -286, -286, -289, -278, -282, -286, -280, -290, 
##     -296, -299, -298, -294, -318, -330, -338, -349, -360, -352, 
##     -375, -402, -399, -409, -410, -407, -425, -446, -459, -473, 
##     -467, -464, -481, -489, -475, -491, -499, -496, -502, -506, 
##     -515, -516, -508, -510, -511, -490, -500, -480, -472, -459, 
##     -464, -428, -414, -383, -377, -366, -337, -336, -324, -316, 
##     -312, -399, -393, -428, -433, -443, -454, -469, -461, -488, 
##     -487, -500, -510, -503, -495, -489, -498, -497, -504, -496, 
##     -494, -496, -475, -473, -467, -461, -459, -444, -452, -398, 
##     -364, -354, -349, -308, -291, -287, -271, -261, -262, -247, 
##     -265, -266, -271, -283, -277, -293, -311, -328, -343, -340, 
##     -352, -343, -358, -373, -372, -385, -383, -384, -388, -430, 
##     -449, -449, -475, -482, -481, -496, -499, -484, -497, -503, 
##     -499, -501, -491, -497, -501, -475, -498, -484, -485, -486, 
##     -478, -471, -462, -454, -453, -432, -424, -407, -333, -328, 
##     -341, -354, -360, -388, -419, -429, -430, -446, -437, -453, 
##     -477, -479, -489, -483, -493, -497, -497, -513, -499, -500, 
##     -495, -503, -489, -504, -498, -475, -478, -450, -446, -432, 
##     -420, -392, -384, -372, -339, -321, -319, -313, -313, -307, 
##     -278, -289, -279, -285, -279, -270, -267, -286, -292, -308, 
##     -310, -301, -309, -297, -334, -343, -354, -359, -376, -400, 
##     -421, -431, -438, -448, -472, -471, -473, -479, -472, -504, 
##     -506, -511, -511, -515, -517, -527, -531, -524, -530, -529, 
##     -511, -509, -511, -478, -486, -474, -458, -465, -440, -435, 
##     -407, -398, -405, -273, -272, -271, -273, -285, -288, -316, 
##     -317, -317, -320, -334, -387, -416, -421, -465, -475, -467, 
##     -493, -483, -488, -486, -487, -385, -362, -345, -335, -333, 
##     -330, -315, -317, -307, -283, -292, -280, -287, -263, -267, 
##     -251, -266, -268, -336, -344, -338, -326, -316, -300, -306, 
##     -291, -292, -283, -282, -259, -268, -273, -284, -273, -272, 
##     -290, -294, -303, -300, -307, -300, -311, -311, -324, -335, 
##     -291, -294, -285, -295, -283, -290, -290, -285, -291, -291, 
##     -309, -302, -312, -312, -314, -320, -332, -328, -336, -352, 
##     -480, -463, -449, -435, -420, -399, -397, -384, -393, -387, 
##     -380, -372, -374, -376, -379, -355, -370, -374, -376, -358, 
##     -360, -393, -404, -405, -440, -453, -473, -479, -488, -475, 
##     -494, -505, -514, -510, -395, -423, -443, -465, -477, -471, 
##     -492, -484, -504, -495, -513, -502, -512, -514, -519, -509, 
##     -520, -503, -507, -496, -496, -476, -464, -452, -437, -422, 
##     -430, -402, -367, -375, -360, -376, -365, -358, -366, -363, 
##     -346, -365, -369, -376, -376, -381, -364, -373, -377, -395, 
##     -395, -411, -409, -429, -446, -446, -460, -466, -482, -492, 
##     -498, -490, -512, -516, -515, -524, -520, -518, -506, -495, 
##     -488, -485, -470, -459, -450, -440, -450, -436, -418, -422, 
##     -391, -377, -368, -369, -360, -359, -355, -354, -347, -353, 
##     -348, -351, -362, -368, -368, -386, -402, -419, -467, -483, 
##     -491, -499, -501, -501, -512, -358, -379, -384, -389, -395, 
##     -422, -449, -458, -470, -476, -486, -497, -508, -504, -504, 
##     -496, -506, -516, -514, -522, -512, -520, -380, -373, -380, 
##     -381, -389, -393, -399, -400, -418, -415, -438, -452, -463, 
##     -459, -469, -477, -484, -481, -490, -481, -501, -498, -504, 
##     -510, -522, -519, -519, -510, -525, -508, -502, -492, -472, 
##     -467, -453, -446, -408, -391, -382, -374, -364, -369, -350, 
##     -366, -368, -374, -437, -451, -447, -449, -441, -441, -439, 
##     -447, -439, -425, -432, -440, -423, -444, -427, -422, -433, 
##     -432, -429, -423, -409, -424, -424, -424, -421, -429, -414, 
##     -413, -416, -419, -424, -426, -426, -425, -429, -420, -425, 
##     -433, -428, -422, -307, -297, -299, -303, -305, -298, -310, 
##     -305, -310, -306, -303, -309, -288, -300, -303, -301, -307, 
##     -313, -305, -306, -308, -309, -295, -304, -312, -307, -309, 
##     -311, -310, -312, -296, -313, -302, -309, -316, -292, -299, 
##     -308, -300, -306, -313, -314, -304, -306, -305, -313, -295, 
##     -312, -307, -304, -386, -393, -414, -434, -468, -496, -506, 
##     -526, -543, -527, -537, -551, -559, -549, -562, -561, -558, 
##     -562, -550, -544, -554, -306, -298, -304, -302, -295, -288, 
##     -294, -295, -296, -298, -293, -294, -280, -301, -298, -293, 
##     -300, -300, -299, -304, -301, -302, -301, -297, -295, -289, 
##     -298, -283, -308, -300, -305, -306, -314, -356, -398, -406, 
##     -406, -414, -429, -422, -422, -423, -429, -423, -422, -420, 
##     -404, -403, -384, -387, -369, -307, -296, -318, -355, -370, 
##     -371, -386, -400, -395, -402, -406, -394, -411, -412, -411, 
##     -406, -413, -406, -410, -404, -384, -362, -348, -333, -312, 
##     -317, -298, -297, -287, -301, -303, -304, -301, -292, -297, 
##     -298, -296, -304, -296, -295, -294, -300, -296, -294, -282, 
##     -301, -281, -300, -285, -292, -299, -311, -305, -303, -305, 
##     -420, -416, -415, -424, -407, -418, -404, -405, -419, -412, 
##     -420, -423, -418, -415, -421, -406, -413, -425, -428, -421, 
##     -421, -414, -415, -407, -424, -423, -421, -417, -427, -417, 
##     -413, -411, -415, -408, -416, -407, -414, -416, -405, -415, 
##     -416, -421, -415, -408, -401, -417, -420, -427, -427, -422, 
##     -423, -430, -431, -431, -429, -434, -429, -430, -425, -429, 
##     -415, -427, -420, -428, -431, -426, -411, -426, -437, -426, 
##     -423, -428, -368, -385, -374, -415, -422, -440, -442, -443, 
##     -434, -446, -443, -446, -435, -438, -449, -432, -445, -452, 
##     -433, -447, -435, -441, -434, -443, -449, -439, -440, -430, 
##     -445, -449, -532, -528, -520, -512, -507, -501, -490, -482, 
##     -476, -460, -459, -426, -431, -379, -386, -383, -384, -371, 
##     -368, -380, -365, -375, -375, -523, -510, -513, -523, -528, 
##     -508, -509, -491, -482, -481, -465, -459, -421, -375, -359, 
##     -353, -326, -319, -320, -339, -346, -356, -511, -511, -499, 
##     -503, -502, -480, -476, -468, -449, -450, -422, -417, -403, 
##     -389, -389, -379, -364, -362, -372, -380, -367, -361, -362, 
##     -365, -372, -366, -354, -365, -385, -391, -405, -416, -434, 
##     -443, -445, -461, -467, -476, -480, -474, -493, -494, -494, 
##     -508, -507, -502, -513, -514, -500, -504, -405, -416, -445, 
##     -450, -456, -455, -461, -457, -460, -440, -436, -424, -396, 
##     -368, -362, -342, -343, -346, -331, -311, -308, -289, -287, 
##     -277, -283, -266, -257, -241, -242, -235, -247, -227, -219, 
##     -225, -240, -234, -229, -245, -249, -245, -248, -273, -283, 
##     -289, -314, -326, -344, -353, -368, -368, -400, -427, -428, 
##     -412, -403, -377, -361, -360, -341, -338, -328, -331, -318, 
##     -303, -291, -280, -272, -261, -259, -255, -248, -235, -242, 
##     -269, -261, -270, -252, -273, -270, -273, -288, -301, -357, 
##     -360, -366, -379, -387, -395, -405, -410, -400, -419, -428, 
##     -419, -441, -441, -427, -436, -443, -428, -432, -338, -337, 
##     -344, -334, -332, -325, -326, -306, -295, -299, -296, -307, 
##     -470, -478, -466, -481, -473, -470, -465, -434, -415, -412, 
##     -389, -386, -370, -349), roll_arm = c(-128, -128, -128, -128, 
##     -128, -128, -128, -128, -128, -128, -128, -128, -128, -128, 
##     -129, -129, -129, -129, -129, -129, -129, -129, -129, -129, 
##     -129, -129, -129, -129, -129, -129, -129, -129, -129, -129, 
##     -129, -130, -130, -130, -130, -130, -130, -130, -130, -130, 
##     -130, -130, -130, -130, -130, -130, -130, -130, -130, -130, 
##     -130, -130, -131, -131, -131, -131, -131, -131, -131, -131, 
##     -131, -131, -131, -131, -131, -131, -131, -131, -131, -131, 
##     -131, -131, -131, -131, -131, -131, -131, -131, -131, -131, 
##     -131, -131, -131, -131, -131, -131, -131, -131, -131, -131, 
##     -131, -131, -131, -132, -132, -132, -132, -132, -132, -132, 
##     -132, -132, -132, -132, -132, -132, -132, -132, -132, -133, 
##     -133, -133, -133, -133, -133, -133, -133, -133, -133, -133, 
##     -133, -133, -133, -133, -133, -133, -133, -133, -133, -134, 
##     -134, -134, -134, -134, -134, -134, -134, -134, -134, -134, 
##     -134, -134, -134, -135, -135, -135, -135, -135, -135, -135, 
##     -135, -135, -135, -135, -135, -135, -135, -135, -135, -135, 
##     -135, -167, -167, -168, -168, -168, -168, -169, -169, -169, 
##     -170, -171, -171, -171, -171, -172, -172, -172, -172, -172, 
##     -172, -172, -172, -173, -173, -173, -174, -174, -174, -174, 
##     -174, -174, -174, -174, -175, -175, -175, -175, -175, -176, 
##     -176, -176, -176, -176, -8.81, -8.6, -8.36, -8.14, -7.92, 
##     -7.41, -7.2, -6.99, -6.61, -6.13, -5.69, -5.23, -5.02, -4.66, 
##     -4.45, -4.52, -4.86, -5.02, -5.11, -5.11, -4.97, -3.58, -2.89, 
##     -2.61, -2.23, -2.16, -2.06, -1.95, -1.83, -1.71, -1.37, -1.21, 
##     -1.12, -1.09, -1.07, -1.02, -0.95, -0.85, -0.46, -0.36, -0.35, 
##     -0.34, -0.28, -0.24, -0.15, 0.09, 0.26, 0.55, 0.94, 1.04, 
##     0.98, 0.95, 0.99, 1.05, 1.12, 1.23, 1.27, 1.3, 1.33, 1.38, 
##     1.37, 1.53, 1.58, 1.61, 1.59, 1.54, 1.53, 1.57, 1.58, 1.58, 
##     1.56, 1.5, 1.34, 0.29, -0.25, -1.42, -2.55, -3.96, -4.79, 
##     -5.84, -8.4, -10, -12.3, -14.9, -17.9, -21.8, -59.6, -71.2, 
##     -82.6, -127, -133, -141, -145, -149, -149, -149, -150, -150, 
##     -150, -150, -150, -151, -152, -153, -157, -160, -162, -169, 
##     -175, 175, 101, 64.4, 56.9, 51, 38.8, 38, 39.6, 41.3, 41.9, 
##     41.7, 41.4, 39.8, 38.5, 38.2, 38.3, 38.4, 38.5, 38.6, 38.8, 
##     39.2, 40.4, 41, 45.2, 47, 67.4, 72.7, 79.9, 96.9, 106, 124, 
##     131, 143, 148, 151, 166, 167, 168, 170, 170, 170, 170, 170, 
##     171, 170, 169, 167, 167, 166, 165, 165, 164, 162, 161, 159, 
##     156, 155, 142, 133, 126, 118, 101, 125, 128, 134, 137, 140, 
##     143, 145, 145, 146, 146, 147, 148, 148, 149, 149, 149, 149, 
##     150, 150, 150, 150, 148, 148, 147, 146, 146, 145, 145, 142, 
##     135, 134, 133, 128, 125, 123, 121, 120, 119, 119, 118, 118, 
##     117, 116, 115, 114, 113, 105, 104, 104, 103, 103, 103, 103, 
##     104, 105, 107, 108, 111, 113, 114, 116, 117, 118, 123, 125, 
##     126, 127, 130, 131, 131, 132, 132, 133, 133, 134, 134, 134, 
##     133, 133, 133, 132, 132, 132, 132, 132, 133, 135, 140, 145, 
##     146, 146, 146, 147, 147, 147, 147, 146, 146, 145, 144, 144, 
##     143, 141, 140, 138, 138, 138, 138, 139, 139, 139, 138, 138, 
##     138, 138, 137, 136, 136, 136, 136, 136, 136, 135, 134, 133, 
##     132, 132, 153, 154, 156, 157, 157, 158, 158, 159, 160, 162, 
##     162, 164, 164, 165, 165, 165, 164, 163, 162, 161, 161, 160, 
##     160, 160, 156, 152, 150, 145, 143, 131, 127, 123, 105, 88.4, 
##     71.8, 70.2, 68.7, 67.6, 67.1, 69.2, 70.7, 72.1, 73.9, 75.8, 
##     78.1, 80.8, 91.6, 96, 102, 108, 114, 121, 139, 154, 158, 
##     175, 177, 179, -180, -177, -176, -175, -174, -173, -173, 
##     -173, -173, -172, -172, -173, -173, -173, -174, -175, -176, 
##     -176, 160, 152, 96.5, 57.8, 47.2, 36.5, 29.3, 27.2, 26.6, 
##     26.2, 26.1, 26.3, 26.3, 25.4, 25, 23.6, -135, -134, -134, 
##     -133, -125, -123, -105, -98.8, -90.7, -82, -73.5, -49.3, 
##     -37.5, -32.8, -23.7, -21.3, -17.8, -16.5, -14.1, -13.1, -12.2, 
##     -10.6, -9.91, -9.48, -8.82, -8.67, -8.35, -8.33, -8.59, -88.9, 
##     -89.1, -89.2, -89, -88.4, -86.3, -84.5, -83.6, -82.5, -81.2, 
##     -70.7, -68.6, -62.4, -56.7, -52.4, -44.1, -41.1, -39, -38.3, 
##     -35.8, -35.5, -34, -31.6, -31.2, -30.9, -30.5, -30.1, -29.5, 
##     -29.4, -30.7, -46.3, -46.8, -47.1, -47.6, -48.1, -49.4, -54, 
##     -55.3, -56.6, -58, -61.4, -62.6, -63.1, -62.9, -62.3, -60.2, 
##     -58.7, -54.8, -52.6, -50.4, -45.4, -34, -31.4, -28.4, -26.3, 
##     -26.1, -26, -25.6, -25.3, -24.8, -23.9, -24, -24.9, -25.6, 
##     -26.2, -26.8, 19.2, 21.6, 26.7, 28.6, 29.9, 30.6, 30, 28.2, 
##     24.9, 22.7, 28.1, 33.5, 46.2, 87, 148, 175, -172, -168, -167, 
##     -165, -162, -159, -157, -147, -143, -142, -141, -140, -139, 
##     -138, -137, -137, -137, -136, -134, -133, -132, -130, -129, 
##     -127, -126, -124, -122, -114, -110, -107, -107, -98.8, -97.7, 
##     -95, -94.4, -93.7, -93.1, -92.5, -91.9, -91.3, -90.7, -90, 
##     -89.4, -87.5, -86.5, -85.4, -84.6, -83.3, -82.6, -81.9, -79, 
##     -78.3, -77.5, -74.8, -73.3, -72.5, -70.8, -70, -67.1, -65.6, 
##     -64.8, -64.1, -63.4, -62.6, -60.1, -59.2, -55, -52.3, -49.1, 
##     -44.3, -43.2, -40.9, -40.8, -40.4, -38.5, -37.7, -36.7, -35.8, 
##     -32.3, -31.6, -30.7, -29.9, -26.4, -24.7, -23, -21.5, -20, 
##     -16.5, -15.5, -11.4, -10.4, -7.44, -6.55, -5.61, -1.35, -0.58, 
##     0.76, 2.17, 3.95, 5.85, 7.78, 8.71, 10.2, 11.6, 13.2, 14.8, 
##     15.7, 26.5, 28, 28.8, 29.5, 30.2, 30.9, 36, 37.5, 41.3, 42, 
##     43.5, 44.9, 47.5, 48.3, 49.7, 51.3, 52, 53.5, 55.9, 56.7, 
##     57.5, 58.2, 59, 61.3, 62.8, 66, 67.8, 68.7, 69.6, 71.4, 72.4, 
##     74.3, 76.3, 80.6, 82.8, 84, 91.5, 94.4, 97.6, 105, 107, 113, 
##     117, 122, 126, 134, 142, 145, 150, 153, 156, 159, 162, 165, 
##     171, -175, -168, -165, -162, -159, -156, -150, -148, -145, 
##     -141, -139, -137, -135, -133, -127, -126, -117, -115, -114, 
##     -111, -111, -110, -107, -106, -105, -104, -104, -103, -102, 
##     -101, -63.9, -64.1, -64.4, -64.6, -65, -66, -73.9, -78.2, 
##     -79.9, -81.7, -83.5, -86.9, -89.4, -90.2, -90.8, -91.5, -91.8, 
##     -92, -92.3, -92.8, -93, -91.3, -90.3, -84.4, -100, -98.8, 
##     -98.2, -97.8, -97.7, -97.1, -95.9, -93.5, -92.7, -91.9, -90.4, 
##     -88.8, -87.4, -86.7, -86, -85.3, -83.9, -81.8, -80.6, -79, 
##     -76.6, -75.9, -75.2, -72.9, -72.2, -71.5, -70.8, -70.2, -68.9, 
##     -67.6, -66.2, -64.3, -63.2, -61.9, -61.3, -60.5, -57.8, -54.3, 
##     -52.8, -50.9, -48.2, -44.7, -43.5, -42.9, -25.6, -24.2, -22.4, 
##     -20.8, -19, -17.8, -16.4, -14, -10.9, -9.44, -8, -5.11, -3.54, 
##     1.5, 2.96, 4.4, 7.97, 9.72, -42.1, -41.3, -40.5, -39.6, -37.2, 
##     -36.4, -34.8, -34.1, -33.2, -31.6, -30.7, -30, -29.2, -26.7, 
##     -25.1, -24.1, -20.7, -18.1, -17.3, -16.4, -13.7, -13, -12.1, 
##     -11.3, -7.8, -6.78, -5.16, -4.41, -2.85, -2.12, -1.37, 0.45, 
##     3.27, 4.06, 5.57, 6.26, 6.91, 9.2, 11.5, 12.3, 13, 13.7, 
##     14.4, 17.4, 18.9, 26.8, 27.5, 28.3, 30.7, 31.6, 32.3, 33.2, 
##     33.9, 34.8, 35.6, 37.3, 38.2, 39.7, 40.3, 41.5, 42.5, 43.7, 
##     44.4, 46.7, 48.1, 49.5, 52.1, 52.9, 55.1, 58, 58.5, 59.2, 
##     60.5, 67.2, 67.7, 68.9, 72.5, 73.9, 80.1, 81.3, 83.2, 85.9, 
##     88.9, 92.9, 94.6, 96.6, 99.1, 102, 104, 108, 110, 111, 112, 
##     114, 122, 124, 136, 140, 143, 146, 149, 156, 160, 169, 173, 
##     179, -177, -174, -171, -169, -163, -158, -152, -148, -146, 
##     -144, -137, -135, -133, -132, -131, -130, -127, -126, -124, 
##     -121, -119, -116, -115, -114, -112, -108, -107, -106, -105, 
##     -104, -98.3, -97.7, -93.2, -92.6, -91.5, -90.8, -90.1, -88.5, 
##     -87.7, -85, -83.6, -81.3, -79.1, -65.2, -57.2, -54.4, -53.8, 
##     -53.6, -56.4, 29.7, 30.2, 31.1, 33.4, 34.3, 36, 38.4, 38.9, 
##     42, 42.8, 43.4, 48.5, 49.2, 49.7, 50.9, 52.6, 54.3, 54.9, 
##     55.4, 56.9, 57.3, 57.8, 59.4, 61, 62, 62.5, 64.6, 65.8, 66.4, 
##     67.2, 70.5, 71.2, 74.1, 76, 78.9, 80.7, 87.8, 93.4, 113, 
##     121, 132, 145, 148, 159, 164, 179, -168, -163, -152, -146, 
##     -142, -139, -129, -126, -115, -114, -113, -112, -111, -110, 
##     -34, -33, -32.3, -31.2, -31, -30.4, -29.9, -30, -29.6, -29.3, 
##     -29.9, -30.7, -31.1, -31, -29.4, -28.6, -27.6, -26.6, -25.5, 
##     -24.3, -23, -21.8, -17.6, -14.2, -12.8, -11.3, -5.89, -2.95, 
##     0.34, 6.29, 6.21, 6.15, 6.26, 6.13, 7.03, 7.17, 8.62, 8.73, 
##     9.22, 9.93, 10.3, 10.8, 11.2, 12.1, 12.5, 12.5, 12.4, 10.6, 
##     9.99, 9.08, 6.68, 3.03, -3.58, -15.4, -22.4, -54.1, -59.8, 
##     -77.3, -84, -85.2, -86.2, -87.1, -88.5, -89.4, -90, -90.4, 
##     -90.7, -90.7, -90.9, -90.6, -90.3, -85.5, -83.5, -81.1, -11, 
##     -9.51, -6.44, -3.62, -2.26, 2.28, 5.12, 11.2, 13.6, 14.3, 
##     14.1, 13.8, 12.8, 12.2, 10.6, 11, 10.1, 9.75, 11.3, 11.5, 
##     11.6, 12.6, 13.3, 14, 14.7, 18.7, 19, 21, 20.9, 20.5, 20.3, 
##     20.1, 19.6, 19, 18.3, 11.8, -45.3, -53.5, -61.3, -67.5, -88.6, 
##     -96.6, -97.2, -97.6, -98.6, -99.3, -99.7, -99.7, -99, -97.7, 
##     -95.2, -68.9, -57, -33.2, -29.8, -27, -24.5, -22.3, -20.5, 
##     -16.3, -12.6, -12.1, -12, -11.9, -12.6, -13.9, -14.7, -15.4, 
##     -14.9, -13.7, -13, -12.1, -6.1, -5.08, -3.81, -2.69, 1.57, 
##     2.56, 3.53, 5.24, 6.16, 7.29, 10.8, 12, 13.1, 14, 16.3, 23.2, 
##     24.4, 26.7, 30.7, 31.7, 32.8, 34.2, 34.2, 33.4, 32.1, 30.8, 
##     30.1, 30.2, 30.3, 29.7, 29.4, 30.2, 31.1, 32.2, 34.8, 39.8, 
##     44.2, 45.4, 46.8, 48.5, 50.6, 55.8, 58.9, 68.2, 109, 142, 
##     153, 170, 176, -175, -165, -162, -158, -153, -148, -145, 
##     -141, -139, -136, -133, -127, -125, -124, -120, -99.6, -92.6, 
##     -85, -77.1, -68.4, -43, -27.4, -23.9, -21.5, -14.2, -11.2, 
##     -11.1, -12.4, -13.7, -14.3, -14.5, -15.1, -15.9, -16, -16, 
##     -15.2, -13, -11.8, -10.6, -7.14, -5.21, -2.83, -1.37, 0.06, 
##     6.06, 7.75, 8.64, 11, 12.1, 13.2, 14.9, 16.1, 16.4, 16.2, 
##     13.5, 12.8, 11.5, 10.4, 9.62, 8.76, 8.87, 9.89, 10.9, 10.5, 
##     9.75, 8.38, 7.18, 6.48, 5.38, 4.13, 2.96, 0.17, -5.42, -10.6, 
##     -13.8, -20.1, -26.3, -28.9, -31.6, -41.7, -48.9, -50.6, -51.2, 
##     -51.5, -51.7, -51.7, -51.6, -48.4, -42.4, -24.6, -21.9, -19.7, 
##     -15.9, -14.1, -8.79, -7.62, -6.29, -5.33, -3.95, -5.17, 13.8, 
##     14.4, 14.6, 16.7, 17.7, 18.8, 18.9, 19.5, 20, 20.2, 19.8, 
##     18.6, 17.7, 17.2, 16.8, 16.2, 14.6, 12.9, 12, 7.48, 6.38, 
##     3.57, 2.67, 1.9, 0.82, -2.79, -4.17, -6.85, -6.45, -4.56, 
##     -0.63, 0.77, 1.97, 3.27, 5.5, 6.36, 6.98, 7.71, 7.98, 9.26, 
##     11.5, 12, 12.5, 9.58, 7.76, 6.78, 3.83, 2.97, 2.59, 2.42, 
##     2.32, 1.5, 0.46, 1.22, 2.83, 5.01, 5.95, 8.12, 9.41, 10.8, 
##     12.1, 13.6, 15.1, 17.6, 21.2, 23.9, 25.4, 28.4, 30.7, 34.6, 
##     34.3, 33.3, 32.7, 32.3, 31.4, 31, 30.5, 30.1, 30.3, 29.4, 
##     29.6, 30.1, 30.6, 32.8, 33.1, 33.5, 33.9, 34.5, 35.1, 6.32, 
##     6.44, 6.75, 13.5, 14.7, 17, 18.9, 20, 22.3, 23.6, 24.9, 26.3, 
##     27.6, 28.8, 31.8, 32.7, 33.6, 34.6, 35.7, 36.9, 38, 39.1, 
##     41, 41.8, 42.5, 43.2, 43.7, 44.3, 45.2, 45.5, 44.9, 43.1, 
##     41.9, 41.3, 75.8, 76.1, 76.8, 77.6, 78.1, 78, 77.3, 77.4, 
##     77.5, 77.8, 78.1, 78.2, 78.1, 78.1, 78, 77.9, 77.7, 77.7, 
##     77.4, 77.1, 77, 76.9, 76.7, 76.7, 76.7, 76.8, 76.8, 76.8, 
##     76.8, 76.9, 76.9, 76.8, 76.7, 76.6, 76.5, 76.2, 76.2, 76.2, 
##     76, 75.8, 75.6, 75.4, 75.3, 75.2, 75.1, 75.1, 75.1, 75.1, 
##     75.1, 75.2, 75.2, 75.2, 75.2, 75.2, 75.2, 75.2, 75.3, 75.8, 
##     76.1, 76.4, 74.5, 74.5, 74.4, 74.3, 74.3, 74.2, 74.2, 74.2, 
##     74.2, 74.1, 74.1, 74.1, 74, 74, 74, 73.9, 73.9, 73.9, 73.9, 
##     73.8, 73.8, 73.8, 73.7, 73.6, 73.6, 73.6, 73.6, 73.6, 73.6, 
##     73.6, 73.5, 73.4, 73.4, 73.3, 73.2, 73.2, 73.2, 73.2, 73.1, 
##     73.1, 73, 72.9, 72.9, 72.9, 72.9, 72.8, 72.8, 72.7, 72.6, 
##     72.7, 72.6, 72.6, 72.3, 72.3, 72.1, 72, 72, 71.9, 71.8, 71.6, 
##     71.5, 71.5, 71.5, 71.5, 71.4, 71.4, 71.4, 71.4, 71.4, 71.5, 
##     71.5, 71.4, 71.4, 71.4, 71.4, 71.4, 71.4, 71.4, 71.4, 71.4, 
##     71.3, 71.2, 71.1, 71.1, 71.1, 71, 71.4, 72.3, 72.8, 73.1, 
##     73.5, 73.4, 73.3, 72.9, 72.8, 72.7, 72.6, 72.5, 72.6, 72.8, 
##     72.9, 73.3, 73.6, 73.9, 73.9, 74, 74, 74.1, 74, 74, 74, 74.1, 
##     74.2, 74.3, 74.3, 74.3, 74.3, 73.4, 72.1, 68.8, 61, 56.9, 
##     52.7, 50.6, 48.8, 44.1, 43, 42.1, 41.5, 41, 40.4, 40.3, 40.3, 
##     40.9, 42, 43.3, 45.1, 47.1, 50.1, 58, 67.2, 75.2, 84.7, 89.4, 
##     72.6, 67.4, 70.7, 71.1, 71.5, 71.5, 71.6, 71.8, 72.3, 73.8, 
##     74.3, 75.1, 75.4, 75.1, 74.8, 74.4, 72.1, 71.1, 70, 65.6, 
##     62.9, 61.6, 60.3, 57.7, 56.5, 55.4, 54.4, 51.7, 51.1, 50.9, 
##     50.6, 51, 52.2, 53.6, 58.3, 71, 76, 108, 112, 116, 119, 122, 
##     127, 127, 123, 121, 118, 116, 109, 105, 97.1, 92.8, 89, 81.3, 
##     77.9, 72.9, 71, 69.3, 75, 75.2, 75.4, 75.6, 75.8, 76, 76, 
##     75.7, 75.1, 74.6, 73.9, 72.3, 68.8, 67.5, 64.1, 61.6, 60.9, 
##     60.1, 59.5, 59.4, 62.6, 67.4, 73.9, 86.4, 90.6, 95.1, 106, 
##     112, 114, 116, 118, 118, 116, 114, 113, 103, 97.5, 94.7, 
##     91.8, 89.2, 81.9, 79.8, 77.8, 74.4, 70.5, 69.9, 69.3, 123, 
##     124, 124, 122, 121, 117, 115, 113, 110, 99.9, 94.7, 92.5, 
##     87.2, 85.1, 83, 80.8, 77.6, 75.9, 75.6, 75.7, 76.1, 78.9, 
##     79.1, 79.3, 79.7, 81.3, 82.1, 84.7, 85.4, 85.9, 86.2, 86.1, 
##     85, 84.7, 84, 83.9, 83.9, 83.9, 83.8, 83.5, 83.1, 80.8, 79.7, 
##     78.5, 76.2, 73.6, 71.5, 70.1, 69.6, 69.2, 69.7, 70.4, 71.4, 
##     72.6, 74, 75.2, 77.8, 79.1, 80.3, 81.8, 83.6, 89.6, 101, 
##     115, 123, 123, 122, 120, 116, 109, 104, 98.6, 94.1, 91.5, 
##     84.7, 82.7, 80.9, 79.4, 77.2, 76.5, 74.1, 73.9, 73.7, 73.7, 
##     74.6, 76, 76.5, 76.8, 76.9, 76.8, 76.6, 76.4, 76.1, 75.8, 
##     75.5, 75.9, 76.2, 76.7, 77.2, 78.1, 78.6, 79.1, 78.9, 78.2, 
##     77.7, 77.2, 75.3, 72, 71.2, 70.4, 69.6, 68, 65.7, 66.6, 68.9, 
##     70.8, 77.2, 81.1, 86.6, 90.2, 93.9, 98.5, 107, 113, 119, 
##     121, 122, 123, 125, 125, 125, 125, 124, 123, 122, 79.6, 80.3, 
##     81.9, 82.4, 82.5, 82.7, 84, 85.1, 85.6, 85.7, 85.3, 85, 84.8, 
##     84.8, 84.9, 85, 85, 84.7, 84.3, 83.6, 81.9, 80.9, 79.9, 77.7, 
##     76.9, 75.5, 74.9, 74, 73.5, 72.9, 73, 75.8, 77.7, 78.7, 79.8, 
##     81.5, 83.3, 88.2, 91.5, 107, 129, 128, 127, 126, 122, 110, 
##     102, 96.1, 88, 85.2, 80.5, 78.3, 76.8, 73.8, 73.4, 74.4, 
##     74.9, 75.2, 75.5, 75.7, 75.9, 76.6, 77.2, 79, 80.2, 81.5, 
##     84.5, 84.9, 85.1, 84.2, 82.8, 81.7, 81.2, 81.5, 82.1, 82.5, 
##     82.7, 82.5, 82, 80.1, 78.7, 75.8, 74.2, 73.1, 72, 70.8, 71, 
##     72.6, 73.8, 78.2, 79.9, 83.5, 93.6, 102, 106, 110, 113, 122, 
##     125, 127, 130, 128, 124, 122, 120, 109, 106, 103, 97.8, 94.6, 
##     84.8, 81.6, 80.6, 78.8, 78, 76.3, 76.3, 77.5, 78.2, 83.3, 
##     83.5, 82.9, 82.9, 83, 82.7, 79.1, 79.4, 79.8, 79.8, 79.4, 
##     79.1, 78.9, 78.9, 79.4, 80.8, 84.8, 86.1, 88.6, 92.2, 94.5, 
##     96.8, 99.8, 103, 106, 109, 119, 122, 125, 131, 136, 137, 
##     136, 135, 134, 130, 125, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, -135, -135, -135, -135, -135, -135, -135, -135, -135, 
##     -135, -135, -135, -135, -135, -135, -135, -136, -136, -136, 
##     -136, -136, -136, -136, -136, -136, -137, -137, -137, -137, 
##     -137, -137, -137, -137, -137, -137, -137, -137, -137, -137, 
##     -137, -137, -137, -137, -137, -137, -137, -137, -137, -137, 
##     -137, -137, -137, -137, -137, -137, -137, -137, -137, -137, 
##     -137, -137, -137, -137, -137, -137, -137, -138, -138, -138, 
##     -138, -138, -138, -138, -138, -138, -138, -138, -138, -138, 
##     -138, -138, -138, -138, -138, -138, -138, -138, -138, -138, 
##     -138, -138, -138, -138, -138, -138, -138, -139, -139, -139, 
##     -139, -139, -139, -139, -139, -139, -139, -139, -139, -139, 
##     -139, -139, -139, -139, -139, -139, -139, -139, -139, -139, 
##     -139, -139, -139, -139, -139, -140, -140, -139, -139, -139, 
##     -139, -140, -140, -140, -140, -140, -140, -140, -140, -140, 
##     -140, -140, -140, -140, -140, -140, -140, -140, -140, -140, 
##     -140, -140, -140, -140, -140, -140, -140, -140, -140, -140, 
##     -140, -140, -141, -141, -141, -141, -141, -141, -141, -141, 
##     -141, -141, -141, -141, -141, -141, -141, -141, -141, -141, 
##     -141, -141, -141, -141, -141, -141, -141, -141, -141, -141, 
##     -141, -141, -141, -141, -141, -141, -141, -141, -141, -141, 
##     -141, -141, -141, -141, -141, -141, -141, -141, -141, -141, 
##     -141, -141, -141, -141, -141, -141, -141, -141, -141, -141, 
##     -141, -141, -141, -142, -142, -142, -142, -142, -142, -142, 
##     -142, -142, -142, -142, -142, -143, -143, -143, -143, -143, 
##     -143, -143, -143, -144, -144, -144, -144, -144, -144, -144, 
##     -144, -144, -144, -144, -144, -144, -144, -144, -144, -144, 
##     -144, -144, -144, -144, -144, -144, -144, -144, -144, -144, 
##     -144, -144, -144, -144, -144, -144, -144, -144, -145, -145, 
##     -145, -145, -145, -145, -145, -145, -145, -145, -145, -146, 
##     -146, -146, -146, -146, -146, -146, -146, -146, -146, -146, 
##     -146, -146, -146, -146, -146, -146, -146, -146, -146, -146, 
##     -146, -146, -146, -146, -146, -147, -147, -147, -147, -147, 
##     -148, -149, -150, -151, -152, -153, -154, -156, -157, -157, 
##     -158, -159, -159, -158, -158, -157, -151, -46.1, -2.87, -0.83, 
##     1.03, 2.41, 3.1, 4.3, 5.75, 6.44, 7.33, 8.74, 9.2, 9.56, 
##     10.1, 10.3, 11.4, 11.9, 12.9, 13.5, 14.8, 15.5, 15.3, 15.3, 
##     15.4, 15.7, 16.2, 17.3, 21, 22, 24.5, 26.3, 28, 30.9, 34.2, 
##     38.4, 41.3, 42.6, 43.8, 44.8, 52.1, 53.9, 55.1, 68.6, 75.7, 
##     80.7, 104, 111, 123, 129, 134, 146, 149, 151, 154, 160, 164, 
##     166, 173, 173, 173, 173, 172, 171, 169, 162, 159, 154, 151, 
##     142, 136, 129, 104, 88.5, 69.5, 59.9, 56.3, 45, 42.9, 37.7, 
##     36, 35.3, 34.3, 34.1, 34.9, 35.7, 37, 38.3, 40.7, 41.4, 42.4, 
##     43.4, 44.3, 45.6, 47.2, 49, 50.8, 53.8, 55.3, 54.7, 53.2, 
##     52.9, 53.2, 55.5, 56.2, 57.4, 61.3, 61.9, 63, 62.6, 62.8, 
##     64.2, 66.9, 67.3, 58.4, 62.4, 66.8, 81.5, 94.7, 104, 106, 
##     107, 105, 104, 102, 95.1, 91.7, 89, 88, 83.4, 80.3, 79, 76.1, 
##     74.9, 72.1, 70.4, 69.3, 69, 68.7, 68.1, 67.8, 67.1, 66.9, 
##     67.1, 74.1, 76.2, 79.6, 80.8, 81.6, 81.9, 81.4, 80.6, 79.7, 
##     77.6, 75.9, 75.1, 74.4, 73.7, 73.1, 72.5, 71.4, 71, 70.7, 
##     70.3, 68.8, 69, 69.6, 70.1, 72.1, 73.5, 75.1, 76.7, 79, 82, 
##     89.8, 112, 121, 128, 130, 131, 131, 129, 127, 125, 122, 115, 
##     113, 112, 111, 109, 107, 105, 103, 99.9, 97.1, 88.5, 85.7, 
##     83, 72.6, 69.9, 68.9, 67.3, 66.8, 66.5, 66.2, 65.8, 65.4, 
##     64.9, 63.7, 63.8, 64, 64.3, 64.8, 65.6, 68.1, 77.1, 76.8, 
##     74.4, 73.3, 69.9, 68.3, 67.1, 66.5, 66.2, 66.1, 66, 66, 66.2, 
##     67.8, 68.6, 69.2, 69.2, 68.9, 73.8, 76.1, 81.6, 104, 111, 
##     120, 124, 127, 129, 130, 130, 126, 121, 113, 112, 109, 93, 
##     81.6, 78.5, 75.7, 72.5, 71.3, 70.4, 69.7, 68, 67.1, 66.5, 
##     66.3, 66.6, 66.7, 66.9, 67.2, 68.7, 69.4, 70.4, 71.3, 72.3, 
##     75.9, 76.1, 76.3, 76.2, 76, 75.2, 74.5, 73.6, 71.7, 69.5, 
##     68.6, 67.7, 67.2, 66.4, 66.8, 70.9, 71.9, 72.3, 73.3, 74, 
##     75.2, 79.2, 81.8, 89.1, 107, 111, 121, 127, 130, 132, 132, 
##     127, 124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62, 60.8, 58.9, 
##     83.9, 83.6, 83.4, 83.4, 83.3, 83.3, 83.1, 82.9, 82.7, 82.5, 
##     82.4, 82.3, 82.1, 82.2, 82.2, 82.2, 82.2, 82.2, 82.2, 82, 
##     82, 82, 82, 81.9, 81.8, 81.5, 81.3, 79.9, 79.4, 78.9, 77.3, 
##     77.2, 77.9, 78.9, 79.3, 79.3, 79.5, 79.8, 80.4, 79.6, 77.8, 
##     76, 75.6, 75.4, 75.2, 75.1, 74.9, 74.8, 74.8, 75, 75.4, 27.7, 
##     26.4, 25.4, 22, 21.3, 21.2, 21.7, 21.1, 18, 16.7, 14.7, 12.4, 
##     11.3, 7.51, 6.54, 36.5, 37.3, 37.9, 38.6, 39.2, 42.6, 43.8, 
##     44.5, 45.3, 46.6, 48.2, 49.3, 49.9, 50.4, 51.5, 51.7, 51.2, 
##     50.5, 46.9, 43.9, 37.4, 34.6, 29.7, -6.97, -7.92, -9.84, 
##     -11.2, -11.3, -11.5, -9.88, -8.81, -6.03, -5.05, -4.15, -2.99, 
##     0.9, 4.88, 6.55, 8.39, 10.9, 13, 13.4, 13.5, -48.1, -39, 
##     -35, -28.6, -23.8, -22, -18.9, -16.9, -15.9, -15.9, -16.1, 
##     -17.3, -17.9, -19.1, -20.6, -21.2, -20.5, -18.8, -17.9, -17, 
##     -12.5, -108, -107, -107, -106, -105, -103, -101, -100, -99.4, 
##     -98.2, -95.9, -94.9, -92.9, -91.9, -77.3, -74, -63.3, -54.2, 
##     -51, -48.3, -38.4, -8.37, -6.63, -2.4, 3.91, 6.87, 7.88, 
##     8.96, 13.8, 14.5, 15.2, 17.3, 17.6, 18.4, 23.1, 24.1, 25.6, 
##     26.8, 27.4, 29.2, -48.6, -47.8, -41.1, -40.3, -39.6, -39, 
##     -38.3, -36.3, -34.9, -34.2, -32, -31.3, -30.6, -29.1, -28.4, 
##     -26.7, -25.2, -23.7, -23.1, -22.3, -20.2, -18.6, -17, -16.2, 
##     -15.4, -11.9, -11, -58.6, -60.8, -62.8, -63.1, -62.5, -62.3, 
##     -61.9, -61.2, -60.3, -59, -55.2, -52.4, 139, 139, 139, 139, 
##     139, 139, 140, 140, 140, 141, 141, 141, 141, 142, 143, 143, 
##     143, 143, 143, 143, 143, 143, 142, 142, 142, 139, 140, 140, 
##     140, 141, 147, 146, 146, 147, 148, 150, 151, 151, 151, 151, 
##     150, 150, 150, 151, 151, 151, 151, 151, 152, 152, 152, 152, 
##     152, 154, 154, 154, 154, 154, 154, 154, 154, 154, 155, 155, 
##     155, 155, 155, 155, 156, 156, 156, 156, 157, 157, 157, 157, 
##     157, 157, 157, 158, 158, 158, 159, 159, 160, 160, 161, 161, 
##     161, 162, 162, 163, 163, 164, 164, 164, 164, 165, 165, 165, 
##     166, 166, 166, 167, 167, 167, 167, 167, 168, 168, 168, 168, 
##     168, 169, 169, 169, 170, 170, 171, 171, 172, 172, 172, 174, 
##     175, 175, 176, 176, 176, 177, 177, 177, 178, 178, 178, 179, 
##     179, 180, -180, -178, -178, -178, -177, -177, -176, -174, 
##     -174, -173, -173, -172, -172, -172, -171, -171, -169, -169, 
##     -169, -168, -168, -168, -167, -167, -167, -167, -166, -166, 
##     -165, -165, -163, -160, -159, -159, -158, -158, -135, -134, 
##     -134, -133, -132, -131, -130, -129, -126, -125, -124, -123, 
##     -122, -121, -120, -119, -119, -118, -117, -117, -116, -115, 
##     -115, -114, -114, -113, -113, -113, -113, -113, -113, -112, 
##     -112, -111, -111, -109, -108, -107, -106, -106, -106, -104, 
##     -102, -99.9, -99.5, -99.1, -98.5, -97.4, -97, -96.1, -95, 
##     -93.6, -93.4, -93.1, -92.9, -92.6, -91.1, -90.8, -90.5, -90.1, 
##     -89.6, -89.1, -88.7, -88.3, -87.9, -87.7, -87, -86.7, -86.4, 
##     -86.2, -85.1, -84.6, -84.4, -84.1, -83.7, -83.5, -83.3, -83, 
##     -82.8, -82.6, -82.3, -82.1, -81.6, -81.4, -81.2, -81, -80.8, 
##     -80.1, -80, -79.9, -79.7, -79.3, -77.7, -77.3, -112, -116, 
##     -117, -118, -119, -122, -123, -124, -125, -125, -126, -125, 
##     -125, -124, -125, -126, -125, -124, -124, -123, -123, -123, 
##     -123, -123, -117, -116, -116, -116, -116, -115, -114, -114, 
##     -114, -114, -114, -113, -113, -113, -113, -113, -113, -113, 
##     -113, -113, -113, -113, -114, -114, -114, -113, -113, -113, 
##     -113, -113, -113, -113, -113, -113, -113, -112, -112, -112, 
##     -112, -111, -111, -111, -111, -110, -110, -110, -109, -108, 
##     -108, -108, -107, -106, -105, -105, -104, -104, -103, -103, 
##     -103, -103, -102, -102, -101, -101, -100, -99.8, -99.1, -98.2, 
##     -97.6, -96.1, -95, -94.2, -88.4, -87.1, -85.7, -82.7, -81.1, 
##     -79.4, -77.5, -70.5, -69.8, -68.9, -66, -65.6, -66.4, -67.2, 
##     -68, -70, -70.6, -71, -70.4, -68, -67.7, -67.2, -67, -66, 
##     -65.6, -64.2, -63.7, -63.7, -63.7, -65, -65.1, -65.2, -65.1, 
##     -64.9, -64.8, -64.7, -64.6, -64.5, -64.5, -64.5, -64.5, -64.5, 
##     -64.4, -64.4, -64.3, -64.2, -64.1, -63.9, -83.6, -83.6, -84.3, 
##     -89.4, -90.1, -90.3, -90.3, -90, -87.7, -87.7, -87.9, -88.1, 
##     -88.2, -88.2, -88, -87.5, -84.7, -80.6, -66.7, -62.7, -60.8, 
##     -59.4, -57.9, -57.3, -56.4, -55.3, -53.3, -52.4, -49.8, -49.6, 
##     -49.7, -50.5, -50.8, -51.6, -51.7, -51.7, -51.9, -52.1, -52.4, 
##     -52.7, -53, -53, -51.8, -48.2, -45.3, -56.1, -52.5, -49.9, 
##     -47.8, -39.5, -37.9, -36.3, -31.8, -31.8, -32.4, -33.9, -34.3, 
##     -35, -35.3, -35.5, -35.7, -35.9, -36.1, -38.6, -41.1, -41.7, 
##     -40.2, -39.7, -38.7, -38.3, -37.7, -37.1, -36.2, -33.9, -32.7, 
##     -29.9, -28.6, -25.8, -26.1, -26.4, -27.4, -27.4, -27.4, -27.1, 
##     -26.3, -26.5, -27.1, -29.8, -34.2, -37.7, -39.3, -47.3, -50.5, 
##     -51.6, -52.3, -53.1, -53, -52.9, -52.4, -51.7, -51.1, -50.3, 
##     -49.8, -48.5, -48, -42, -39.1, -37.9, -36.5, -34.4, -33.1, 
##     -30.3, -28.2, -27.5, -27.9, -31.3, -34, -38.7, -39.2, -39.8, 
##     -42.4, -43.6, -43.9, -44, -42.7, -41.4, -40.8, -40.1, -39.2, 
##     -37.1, -36.1, -33.3, -32.7, -31.3, -29.6, -27, -26.7, -26.8, 
##     -27.2, -28.8, -29.4, -31.4, -42.7, -44.9, -46.7, -49.7, -50.5, 
##     -54.2, -55.5, -52.4, -49, -48.4, -48, -47.5, -46.7, -45.2, 
##     -44.2, -42.7, -41.2, -34.7, -31.9, -30.3, -29.5, -28.8, -28.2, 
##     -27.7, -27.3, -26.9, -26.6, -26.5, -26.6, -29.3, -32.3, -33, 
##     -34.8, -35.8, -36.9, -37.5, -38.2, -40.2, -40.8, -40.2, -39.5, 
##     -39, -36.5, -35.7, -33.2, -32, -30.3, -28.8, -22, -17.7, 
##     -18.1, -17.3, -17.8, -18.4, -19.2, -23.5, -25.4, -26.4, -27.2, 
##     -28.7, -31.4, -40, -42.9, -48.5, -50.2, -53.9, -55.6, -55.2, 
##     -54.8, -54.1, -53.6, -52.8, -52.1, -51.3, -49.9, -49.1, -48.4, 
##     -44.3, -43.3, -42.2, -41, -38.2, -31.5, -30.5, -28, -25.5, 
##     -22.5, -21.4, -21.2, -21.2, -21.9, -23.4, -24.1, -24.8, -26.4, 
##     -27.3, -28.2, -30.7, -31.2, -31.4, -31.2, -31.6, -33, -34.8, 
##     -35.6, -37.2, -37.8, -38.4, -38.2, -37.8, -37.3, -36.5, -36.1, 
##     -35.8, -35.5, -34.9, -34.6, -33.6, -33, -31.9, -31.3, -29.7, 
##     -25.8, -24.1, -22.5, -18.9, -18.4, -18.3, -19.9, -20.3, -20.6, 
##     -20.7, -20.3, -19.6, -20.3, -20.7, -21.3, -22.2, -28.1, -29.5, 
##     -36.9, -34.3, -31.8, -29.5, -22.6, -23.1, -23.5, -24.2, -24.5, 
##     -24.6, -24.7, -24.8, -25.2, -25.5, -26.5, -27.1, -29.7, -30.9, 
##     -32.5, -33.1, -37, -37.6, -38.3, -38.7, -39.5, -42.1, -41.3, 
##     -40.6, -39.5, -39, -38.7, -38.3, -37.7, -35.5, -33.7, -29.6, 
##     -27.7, -23.9, -21.2, -20.4, -19.9, -20, -20.2, -20.1, -19.9, 
##     -19.3, -17.4, -16.3, -14.7, -15.9, -18.5, 40.5, 35.4, 34.5, 
##     34.4, 34.1, 34.9, 35.1, 35, 35.9, 36, 37.3, 38.1, 39.5, 40.2, 
##     43.4, 45.7, 46.7, 47.7, 51.8, 53.5, 55, 57.2, 58.6, 62.1, 
##     64, 71, 74.7, 79.4, 80.6, 81.7, 83, 80.4, 67.8, 64, 59.3, 
##     51.3, 47.9, 44.6, 41.7, 33.1, 28.8, 27.1, 26.6, 26.5, 26.4, 
##     25.3, 24, 22.7, 14.7, 13.7, 11.3, 10.4, 9.92, 9.92, 10.1, 
##     10.1, 9.93, 12, 14.9, 19.1, 19.8, 25.1, 29.1, 32.4, 34.4, 
##     35.4, 37.3, 38.1, 38.9, 39.6, 40.3, 41.4, 41.9, 42.1, 41.8, 
##     41.5, 41.2, 39.9, 37.9, 37.2, 36.5, 35.4, 34.4, 31.1, 29.5, 
##     28.9, 28.6, 28.7, 29.3, 30.7, 32.9, 33.3, 34.1, 36.5, 37.2, 
##     38.8, 39.4, 41.3, 42.8, 43, 43.2, 43.2, 42.2, 39.4, -37.8, 
##     -42.4, -46.8, -51, -52.6, -54.4, -55.8, -56.9, -57.4, -56.5, 
##     -54.4, -53.5, -52.5, -51.7, -50.6, -48.2, -47.7, -45.9, -42.5, 
##     -41.2, -38.4, -48.7, -49.7, -49.9, -49.8, -47.9, -46.4, -45.1, 
##     -44.9, -44.7, -44.7, -45.2, -45.8, -46.9, -52.7, -57.8, -61.7, 
##     -63.1, -64.3, -65.1, -65.6, -66.2, -65.8, -65.3, -64.8, -64.1, 
##     -63.3, -61.5, -60.8, -59.8, -59, -122, -122, -122, -122, 
##     -122, -122, -122, -122, -122, -122, -122, -121, -121, -121, 
##     -120, -120, -119, -119, -118, -118, -118, -118, -117, -76.9, 
##     -76.4, -76.2, -76.2, -76.3, -76.4, -76.9, -77.1, -76.9, -76.8, 
##     -75.3, -75.1, -75.2, -81.9, -93.1, -96.7, -98.5, -103, -108, 
##     -109, -111, -155, -154, -154, -152, -151, -149, -145, -144, 
##     -143, -142, -139, -139, -139, -138, -138, -137, -137, 141, 
##     145, 147, 147, 148, 148, 148, 148, 147, 147, 147, 147, 147, 
##     148, 148, 148, 147, 147, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 121, 118, 117, 115, 109, 107, 92.3, 84.7, 81.1, 
##     77.9, 76.5, 77.1, 77, 77.3, 80, 78.2, 77, 75.7, 74.3, 67.1, 
##     65.4, 64.4, 64.3, 64.5, 66.8, 68, 69.2, 72.5, 75.1, 77.9, 
##     85.4, 94.8, 104, 107, 115, 116, 118, 121, 122, 68.5, 68.4, 
##     69.1, 69.5, 70.7, 71.5, 72.3, 73, 74.8, 76.7, 76.6, 76.2, 
##     74.6, 74.6, 75.7, 76.5, 77.2, 77.9, 80.4, 80.5, 81.5, 81.1, 
##     64.7, 61, 60.7, 60.6, 60.7, 61.4, 61.7, 62, 62.7, 63, 63.4, 
##     63.9, 64.4, 65.8, 67.9, 69.1, 70.3, 71.4, 72.6, 73.5, 74.9, 
##     75.3, 75.4, 75.5, 75.3, 75.1, 74.9, 70.2, 67.9, 58.4, 57.9, 
##     57.2, 56, 55.4, 55.1, 54.5, 54.1, 54.1, 53.8, 53.9, 54.1, 
##     54.3, 54.7, 55, 55.2, 55.4, 56.4, 57.2, 62.1, 63.2, 65.3, 
##     66.3, 76.3, 76.3, 76.2, 76.1, 76.1, 75.9, 75.9, 75.7, 75.5, 
##     75.5, 75.5, 75.6, 75.6, 75.5, 75.5, 75.4, 75.5, 75.5, 75.4, 
##     75.4, 75.2, 75.2, 75.1, 74.9, 74.9, 74.8, 64, 64, 66.1, 68.7, 
##     70.7, 74.4, 78.4, 79.1, 80.7, 81.4, 82.1, 82.6, 85.3, 85.8, 
##     86.7, 87.1, 87.1, 86.8, 86.2, 85.8, 85.4, 85.1, 84.9, 84.1, 
##     53.9, 54.5, 54.8, 55, 55.4, 59.3, 59.9, 60.2, 60.4, 60.6, 
##     60.6, 60.6, 61, 61.3, 61.5, 61.7, 61.9, 61.9, 61.9, 62, 61.9, 
##     61.9, 62.2, 63.2, 52.2, 50.2, 48.7, 47.3, 46.5, 45.9, 45.1, 
##     44.8, 44.8, 44.8, 44.9, 45, 45.3, 45.4, 45.4, 44.7, 43.9, 
##     42.6, 43.7, 46.2, 49.6, 50.5, 51.4, 52.1, -34.7, -35.5, -36.6, 
##     -38.8, -40, -42.1, -42.5, -42.7, -46.1, -47.1, -49.4, -49.8, 
##     -49.7, -49.3, -50, -50.2, -50.3, -50.4, -50.4, -49.6, -49.2, 
##     -48.7, -47.7, -47.3, -46.6, -46.1, -9.36, -15.2, -24.4, -33.2, 
##     -38.9, -41.7, -51, -55.1, -66.5, -69.7, -75, -76.7, -78.4, 
##     -83.2, -89.3, -89.2, 22.9, -17.6, -39.1, -111, -120, -135, 
##     -136, -137, -137, -137, -136, -135, -136, -136, -136, -136, 
##     -136, -136, -136, -135, 131, 131, 126, 122, 119, 118, 112, 
##     108, 99.4, 101, 103, 107, 114, 116, 127, 135, 137, 144, 146, 
##     95.7, 92.8, 91.2, 90.4, 87.8, 86.4, 85.7, 84.4, 83, 81.7, 
##     80.5, 77.4, 76.3, 75.1, 72.1, 71.4, 70.5, 70.9, 72.3, 73.3, 
##     74.5, 75.7, 77.3, 81.1, 83.5, 91.4, 94.3, 97.5, 123, -166, 
##     -167, 69.2, 72, 82.2, 83.7, 85.1, 86.3, 88.2, 87.5, 86.4, 
##     81.9, 76.5, 74.8, 72.9, 71, 69.4, 67.6, 64.2, 62.2, 58.5, 
##     57.2, 55.4, 54.9, 54.1, 53.9, 53.8, 53.5, 53, 52.8, 52.6, 
##     52.6, 53, -26.7, -26.2, -25.9, -25.5, -24.9, -24.6, -25.5, 
##     -25.6, -25, -20.7, -18.2, -17.5, -16.8, -14.2, -13.5, -12.8, 
##     -11.5, -10.8, -8.96, -8.46, -7.06, -6.68, -6.35, -5.42, -4.87, 
##     -4.59, -3.94, -2.69, -2.45, -2.25, -1.73, -1.45, -0.75, -0.41, 
##     -0.02, -0.57, -0.84, -1.17, -1.56, -2.77, -3.37, -4.88, -5.74, 
##     -7.63, -11.6, -15.5, -21.3, -25.4, -36.1, -52, -80, -88.7, 
##     -103, -118, -126, -128, -129, -131, -133, -134, -135, -134, 
##     -134, -132, -132, -132, -132, -132, -132, -127, -118, -77.7, 
##     -0.8, 34.9, 34.7, 34.4, 33.6, 33.2, 32.8, 32.4, 31.8, 30.2, 
##     29.6, -153, -153, -153, -153, -152, -151, -151, -152, -154, 
##     -154, -154, -153, -152, -152, -153, -155, -156, -164, -167, 
##     -175, -180, 166, 157, 144, 131, 118, 105, 74.1, 62.5, 59.6, 
##     57.5, 53.7, 50.8, 49.1, 48.6, 48.3, 47.6, 47, 46.3, 44.6, 
##     43.7, 42.2, 41.6, 40, 40.3, 40.4, 40.5, 41.4, 46.9, 52, 55.6, 
##     59.7, 84.4, 97.1, 114, 145, 168, 180, -178, -175, -174, -174, 
##     -175, -175, -173, -172, -173, -175, -176, 176, 174, 171, 
##     163, 154, 149, 138, 120, 108, 96.7, 91.9, 87.4, 83.4, 80.7, 
##     78.6, 76.8, 76.5, 74.9, 74.4, 72.1, 72.2, 72.8, 74.5, 76.7, 
##     81.9, 84.3, 87.9, 134, 138, 145, 149, 154, 157, 159, 160, 
##     160, 162, 162, 161, 158, 156, 154, 152, 152, 153, 155, 157, 
##     159, 166, 167, 167, 166, 158, 155, 149, 143, 138, 128, 123, 
##     118, 110, 109, 108, 106, 99, 96.9, 93.9, 95.1, 95.7, 97.3, 
##     99, 100, 104, 107, 117, 120, 122, 130, 132, 136, 138, 139, 
##     141, 141, 142, 142, 142, 142, 141, 137, 135, 133, 136, 139, 
##     141, 143, 145, 147, 153, 155, 96.4, 97.8, 106, 110, 114, 
##     116, 120, 122, 125, 131, 133, 138, 140, 140, 140, 137, 136, 
##     131, 131, 132, 133, 135, 139, 144, 147, 147, 147, 147, 139, 
##     137, 134, 132, 130, 128, 127, 125, 121, 118, 117, 116, 115, 
##     115, 115, 114, 113, 113, 114, 114, 115, 116, 118, 118, 118, 
##     119, 119, 122, 123, 124, 124, 125, 125, 124, 124, 124, 124, 
##     124, 121, 119, 116, 116, 120, 123, 124, 128, 138, 138, 137, 
##     135, 135, 134, 133, 133, 134, 135, 135, 136, 133, 131, 126, 
##     125, 122, 120, 117, 116, 116, 117, 117, 117, 117, 117, 114, 
##     113, 113, 139, 139, 138, 130, 130, 127, 127, 126, 125, 125, 
##     124, 124, 124, 123, 123, 122, 121, 116, 115, 113, 110, 109, 
##     109, 108, 108, 106, 107, 109, 109, 109, 109, 109, 107, 107, 
##     107, 108, 109, 111, 111, 113, 114, 117, 121, 122, 123, 124, 
##     124, 127, 129, 145, 146, 148, 147, 146, 146, 144, 144, 142, 
##     141, 140, 138, 136, 134, 133, 131, 123, 121, 118, 116, 112, 
##     107, 105, 101, 98.8, 96.5, 94.6, 93.3, 93.5, 94.2, 95.1, 
##     96.4, 98.7, 99.3, 99.3, 98.7, 97.5, 121, 123, 117, 102, 99.5, 
##     97.1, 94.8, 92.5, 89.1, 87.9, 86.9, 84.6, 84.6, 84.5, 84.5, 
##     84.5, 85.9, 82.7, 81.6, 81.4, 80.9, 80.7, 80.6, 79.5, 78.9, 
##     78.8, 80.6, 81.1, 81.8, 82.4, 83.2, 84.2, 84.5, 84.8, 84.9, 
##     84.9, 84.9, 84.9, 84.9, 85.1, 85.2, 85, 83.5, 84, 84.9, 85.3, 
##     85.7, 85.8, 85.7, 85.9, 86.2, 86.5, 87, 87.2, 87.5, 87.5, 
##     87.3, 87.2, 87, 86.9, 86.7, 86.8, 87, 87.3, 87.3, 87.3, 87.3, 
##     87.4, 87.5, 87.4, 87.2, 87.2, 87.2, 87.3, 87.4, 87.4, 87.3, 
##     87.2, 87.2, 87.1, 87.1, 87.1, 87.1, 87, 86.9, 86.8, 86.8, 
##     86.8, 86.7, 86.6, 86.6, 86.6, 86.3, 86.2, 86.1, 86.1, 86, 
##     86, 86, 86, 86, 86, 86, 86, 86.1, 86.2, 86.2, 86.3, 86.7, 
##     86.7, 86.6, 86.5, 86.4, 85.9, 85.5, 85.1, 84.6, 81.9, 81.3, 
##     80.6, 78.6, 78.2, 77.8, 77.5, 126, 114, 111, 105, 103, 101, 
##     93, 91.2, 89.7, 88.3, 87.1, 86, 85.2, 84.5, 84, 83.7, 83.8, 
##     84.1, 85, 85.4, 86.9, 89, 89.3, 89.4, 89.3, 89, 88.8, 88.7, 
##     88.6, 88.5, 88.3, 88.4, 88.5, 88.7, 88.7, 88.6, 87.4, 86.6, 
##     83.2, 79.5, 78.9, 78, 77.8, 78, 78.6, 80.9, 82.5, 86.7, 89.1, 
##     91.7, 93.9, 104, 108, 115, 119, 123, 128, 132, 134, 135, 
##     137, 139, 139, 139, 140, 140, 140, 133, 131, 129, 126, 121, 
##     115, 113, 110, 107, 98.5, 93.8, 91.8, 89.1, 88.3, 87.7, 84.8, 
##     83.9, 83.5, 83, 85.7, 85.2, 84.6, 81.6, 81.2, 81.2, 82.2, 
##     84.3, 85.9, 90.9, 92.3, 96.7, 102, 105, 112, 115, 117, 119, 
##     126, 130, 131, 132, 134, 136, 137, 137, 138, 138, 137, 136, 
##     134, 125, 115, 112, 110, 107, 104, 101, 98.1, 96, 94.1, 91.7, 
##     90.4, 89.1, 88.4, 87.1, 85.6, 85.1, 84.7, 84.6, 84.9, 87.5, 
##     88.3, 88.5, 87.7, 87.5, 87.4, 87.4, 87.6, 88.3, 88.7, 89.1, 
##     89.9, 90.5, 90.9, 90.8, 90.1, 89, 86.6, 86.2, 85, 84.4, 84.3, 
##     85.5, 88, 98.7, 102, 104, 107, 115, 120, 126, 130, 133, 134, 
##     134, 134, 134, 135, 136, 137, 138, 138, 139, 138, 134, 131, 
##     129, 126, 118, 106, 103, 99.8, 97.2, 94.7, 92.9, 90.1, 89.4, 
##     86, 84.5, 84.1, 83.2, 84.8, 85.3, 86.3, 86.8, 86.9, 88, 90.6, 
##     91.3, 90.2, 87.8, 87.2, 86.5, 85.9, 84.7, 83.4, 83.6, 86.1, 
##     89.6, 91.6, 93.9, 96.5, 99, 103, 105, 106, 108, 118, 120, 
##     125, 129, 137, 139, 139, 139, 139, 139, 139, 139, 140, 140, 
##     140, 139, 139, 137, 136, 131, 129, 124, 119, 111, 105, 95.8, 
##     82, 83.3, 84.3, 85.8, 87.5, 91.5, 93.9, 96, 99.9, 102, 108, 
##     113, 115, 118, 121, 126, 130, 134, 137, 139, 141, 141, 140, 
##     139, 139, 140, 140, 141, 141, 141, 140, 139, 135, 131, 126, 
##     122, 113, 109, 106, 103, 96.2, 93.8, 91.7, 87.6, 87.4, 87.5, 
##     88.2, 89, 90.8, 93.2, 93.1, 92.5, 91.7, 91.7, 91.8, 91.8, 
##     91.8, 91.7, 91.6, 90.9, 90.4, 89.7, 88.9, 86.3, 84.2, 83.8, 
##     86.6, 88.3, 90.1, 92.5, 98.7, 101, 105, 110, 118, 121, 119, 
##     116, 110, 101, 96.6, 89.7, 86, 79.5, 77.7, 74.5, 73.5, 72.8, 
##     71.4, 70, 69.8, 68.5, 69.8, 70.5, 71.4, 73.8, 74.9, 76.7, 
##     77.5, 77.6, 77.6, 77.5, 77.2, 75.7, 74.7, 73.8, 72, 71.4, 
##     69.9, 69.2, 68.2, 68.1, 68.8, 69.7, 74.1, 75.6, 76.5, 77.2, 
##     78.1, 81, 83.2, 85.7, 96.9, 114, 123, 132, 136, 124, 114, 
##     112, 106, 98, 90.4, 84.6, 81.4, 79.3, 77.4, 74.9, 74.1, 73.3, 
##     72.5, 71.9, 70.7, 70.4, 69.5, 68.5, 68.2, 68.2, 71.2, 74.2, 
##     75.1, 75.8, 76.8, 77.1, 77.1, 76.6, 75, 73.8, 73.2, 72.6, 
##     72.7, 72.6, 71.8, 69, 70, 73.7, 75.7, 77.5, 84.8, 85.3, 91.2, 
##     102, 107, 117, 121, 124, 127, 129, 128, 126, 121, 115, 111, 
##     109, 106, 99.1, 91.4, 84.3, 76, 70.4, 65, 66.1, 66.2, 66.1, 
##     65.6, 65.9, 66.7, 73, 78.2, 84.5, 88, 96.3, 105, 115, 124, 
##     127, 131, 134, 131, 127, 122, 120, 113, 108, 105, 97.2, 82.4, 
##     76.9, 68.9, 62.4, 61.4, 60.4, 59.8, 60.2, 63, 64.7, 65.7, 
##     67.5, 68.1, 68.6, 69.8, 69.5, 68, 67.2, 66.5, 64.2, 63.8, 
##     125, 121, 119, 116, 113, 110, 103, 101, 98.3, 95.4, 91.8, 
##     87.9, 78.4, 71, 68.1, 66.7, 65.5, 63.6, 63, 62.2, 62, 61.8, 
##     61.7, 61.5, 63.6, 64.6, 65.3, 65.6, 65.8, 66.2, 66.8, 68.6, 
##     68.8, 68.8, 68, 67.7, 68, 68.2, 68.2, 68.3, 68.8, 69, 69.2, 
##     69.4, 69.9, 70.1, 70.1, 70.2, 70.1, 70.1, 70.2, 70.3, 70.4, 
##     70.4, 70.5, 70.5, 70.6, 70.6, 70.5, 70.7, 70.6, 70.8, 70.8, 
##     70.7, 70.7, 70.7, 70.7, 70.7, 70.7, 70.5, 70.5, 70.3, 112, 
##     109, 105, 101, 96.9, 93, 82.3, 79.3, 77.3, 75.2, 74.7, 74.4, 
##     73.1, 72.9, 72.8, 72.1, 71.8, 71.9, 72.8, 73.2, 73.4, 72.9, 
##     72.5, 71.9, 71.3, 70.7, 134, 111, 106, 102, 97.7, 93.5, 84.6, 
##     83.3, 81.9, 80.9, 80.4, 79.9, 78.9, 78.5, 77.9, 76.5, 75.2, 
##     74.7, 73.9, 73.3, 73.1, 73, 72.9, 72.6, 72.3, 71.8, 71.2, 
##     70.3, 70, 70.6, 71.4, 74.2, 76.2, 78.8, 111, 116, 127, 132, 
##     142, 144, 151, 153, 154, 156, 156, 156, 155, 154, 153, 153, 
##     77, 76, 75.2, 74.9, 73.9, 73.4, 72.6, 72.4, 81.8, 82.4, 83.5, 
##     87.7, 90.8, 103, 114, 149, 151, 152, 153, 153, 152, 151, 
##     151, 150, 149, 142, 131, 120, 114, 111, 108, 104, 99.4, 91, 
##     81.4, 80.5, 80.3, 80.2, 80, 78.6, 76, 75.7, 75.4, 75.3, 74, 
##     73.2, 72.4, 70.9, 70.5, 71, 74.6, 76.3, 81.8, 84.1, 90, 105, 
##     110, 115, 82.2, 79.6, 72.7, 72.2, 72, 72, 72.1, 72.1, 72.1, 
##     72.1, 72.3, 72.7, 73.3, 73.6, 73.7, 73.9, 74.1, 74.4, 74.6, 
##     74.9, 75, 74.7, 72.7, 72, 71.3, 70.5, 69.6, 67.3, 149, 147, 
##     145, 129, 125, 121, 118, 115, 112, 108, 103, 84.1, 82.5, 
##     80.3, 79.4, 77.3, 77.2, 77.2, 77, 76.7, 76.1, 76, 76.1, 77.8, 
##     78.4, 78.7, 78.7, 78.4, 76.3, 75.6, 74.3, 73.8, 71.8, 71.1, 
##     70.3, 68.3, 68, 67.9, 68.2, 68.7, 69.7, 72.5, 73.3, 75.7, 
##     78, 83.4, 101, 112, 124, 134, 137, 140, 143, 145, 148, 151, 
##     157, 158, 158, 157, 157, 153, 151, 134, 130, 123, 112, 107, 
##     99.4, 89, 85.7, 83.9, 83.3, 82.8, 81.7, 80.3, 79.2, 78.7, 
##     77.6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 53.7, 52.9, 49.8, 48.3, 46.9, 46.1, 45.7, 45.8, 45.4, 
##     46.2, 48.5, 49.8, 50.6, 51.4, 52.4, 53.5, 55.8, 61.8, 63.6, 
##     126, 129, 138, 141, 147, 149, 152, 161, 174, 177, -172, -162, 
##     -145, -143, -140, -138, -136, -129, -128, -128, -128, -128, 
##     -128, -128, -128, -128, -124, -122, -119, -116, -115, -112, 
##     -111, -108, -106, -105, -67.5, -56.1, -46.2, -37.8, -34.6, 
##     -28.9, -26.7, -24.8, -23.4, -22.3, -21.3, -20.9, -23.5, -24.3, 
##     -25.5, -26.9, -32.4, -37.5, -46, -50.5, -52.8, -56.5, -57.7, 
##     -57.9, -57.9, -57.7, -55.4, -49.7, -47.1, -45.4, -37.1, -34.6, 
##     -28.6, -25.2, -18.3, -14.7, -5.01, -2.56, 3.87, 3.44, 2.16, 
##     1.04, 0.31, -0.49, -1.2, -1.39, -1.95, -2.41, -2.08, -3.36, 
##     -4.5, -7.9, -14.5, -21.7, -37.6, -40.4, -42.9, -49.5, -55.1, 
##     -55.9, -55.7, -55, -45.4, -39.9, -34.6, -24.4, -22, -19.9, 
##     -17, -15.7, -13.7, -12.1, -11.6, -11.1, -10.5, -9.96, -9.97, 
##     -13.1, -15.5, -24.4, -27.8, -36.9, -40.1, -42.8, -45.2, -50.8, 
##     -59.2, -62.2, -65.3, 9.54, 10.2, 10.8, 12.2, 12.7, 12.9, 
##     13, 12.7, 12.5, 12, 11.5, 11.3, 11.1, 10.3, 8.78, 8.27, 5.44, 
##     4.46, 2.55, 0.36, -0.82, -1.88, -8.69, -9.41, -9.87, -9.96, 
##     -9.69, -98, -103, -110, -113, -110, -100, -34.3, -17, 4.98, 
##     22.7, 25.1, 25, 24.7, 24.8, 24.3, 22.4, 21.3, 18.3, 17.7, 
##     17.3, 18, 18.6, 19.2, 19.8, 19.5, 18.9, 17.2, 16.1, 13.3, 
##     14, 14.5, 13.8, 12.9, 12, 11, 9, 7.33, 6.77, 6.32, 5.71, 
##     5.5, 5.43, 5.54, 6.15, 6.42, 6.75, 10.9, 11.2, 11.3, 10.9, 
##     11.5, 11.9, 12.3, 9.87, 7.05, 3.36, 1.39, -1.07, -8.15, -9.62, 
##     -12.4, -17.7, -21.2, -25.2, -30.2, -36.2, -43.1, -51.7, -72, 
##     -82.4, -123, -128, -130, -133, -135, -136, -138, -139, -132, 
##     -117, -65.1, -6.6, 16.9, 20.7, 23.1, 26.5, 29.1, 30, 29.8, 
##     28.4, 27.7, 25.6, 24.5, 23.1, 9.83, 8.12, 9.06, 9.13, 8.95, 
##     9.9, 10.7, 11.8, 11.3, 11.1, 10.9, 10.8, 10.7, 10.8, 10.4, 
##     10, 9.67, 7.01, 3.58, 2.34, -7.31, -9.45, -17.8, -28.3, -51.5, 
##     -87.1, -101, -122, -148, -153, -154, -160, -165, 86.1, 47, 
##     35.3, 34.8, 38.6, 39, 39.4, 39.7, 39.9, 40.4, 40.6, 40.6, 
##     40.5, 39.5, 39, 37.7, 36.9, 35.1, 34.1, 33.2, 32.4, 28.5, 
##     28, 26.5, 25.8, 24.6, 23.4, 22.8, 22.8, 22.6, 21.9, 15.3, 
##     14.6, 12.9, 11, 8.38, -3.84, -7.1, -10.9, -15.8, -29.6, -49.7, 
##     -63.7, -77.7, -99.7, -107, -111, -116, -116, -116, -111, 
##     13.7, 21.9, 29.7, 30.7, 31.1, 31.8, 32.1, 32.5, 30.5, 27.9, 
##     26.2, 25.6, 22.8, 20.2, 18.9, 18, 17.6, 17.3, 17.4, 17.9, 
##     18.7, 18.7, 20.6, 21.2, 22.1, 22.9, 23.2, 23.4, 23.7, 23.9, 
##     23.3, 22.9, 22.5, 22, 21.5, 21, 20.7, 19.6, 19.4, 19.2, 18.8, 
##     18.7, 18.6, 18.6, 18.4, 17.7, 14.9, 13.9, 13.8, 12.9, 4.74, 
##     -8.74, -15.4, -20, -23.7, -26, -28.4, -31.6, -35.2, -39.5, 
##     -44.6, -57.4, -64.7, -72.3, -80.3, -102, -107, -111, -114, 
##     -115, -112, -107, -101, -92.4, -78.5, -20, -5.37, 3.26, 10.2, 
##     14.8, 20.7, 22.7, 24.3, 25.4, 21.8, 20.8, 20.4, 20.6, 21.1, 
##     20.9, 21.2, 22.1, 22.7, 23.3, 23.8, 24.2, 24.5, 24.9, 26.2, 
##     27, 28.4, 28.9, 29.4, 29.9, 30.1, 29.9, 29.8, 29.6, 28.8, 
##     28.2, 26.6, 26.1, 25.4, 24.3, 22.3, 21.8, 20.8, 20.3, 19.8, 
##     19.3, 18.9, 18.5, 18, 16.6, 16.1, 15.9, 15.9, 15.6, 15, 14.7, 
##     16.3, 15, 10, 8.59, -8.72, -12, -20, -23.7, -48.8, -73.4, 
##     -88.1, -113, -128, -139, -144, -145, -146, -147, -147, -148, 
##     -148, -147, -146, -144, -134, 13.9, 21.5, 25, 27, 28.3, 29.4, 
##     26.8, 25.3, 34.5, 34.2, 34.3, 34.6, 33.9, 30.4, 29.3, 28.2, 
##     26.6, 25.9, 25.9, 26.3, 29.8, 31, 31.3, 32.5, 33, 33.5, 34, 
##     34.7, 35.6, 36, 36.4, 37, 37.4, 21.9, 20.8, 18.3, 17.9, 19.4, 
##     19.7, 20.1, 20, 19.8, 19.2, 19.2, 18.7, 17.6, 17.1, 16, 14.6, 
##     12.8, 11, -7.95, -6.77, -4.36, -3.44, -2.62, 0.81, 1.62, 
##     2.82, 3.39, 4.32, 6.03, 5.86, 5.48, 3.28, 1.85, 0.64, -0.5, 
##     -1.66, -3.01, -6.98, -9.53, -12.3, -15, -17.8, -25.3, -29.5, 
##     -34.2, -39.2, -45.4, -53.1, -61.2, -69.3, -77.2, -79.6, -75.9, 
##     -71.3, -64.9, -51.8, -28.2, -9.48, -0.17, 6.73, 12.3, 12.8, 
##     14, 14.9, 14.2, 11.6, 10.7, 64.5, 68.5, 70.7, 71.9, 72.9, 
##     74.1, 78.2, 79.6, 83, 83.8, 84.5, 86.2, 89, 91.1, 92.2, 94.4, 
##     95.5, 101, 103, 104, 106, 108, 118, 121, 29.4, 28.1, 27.4, 
##     25.8, 25.7, 25.1, 24.1, 24.3, 24.6, 24.8, 24.9, 25.2, 25.5, 
##     26.7, 27.1, 27.4, 27.3, 27.3, 27.8, 9.04, 6.83, 5.32, 4.61, 
##     6.59, 10.1, 13.7, 14.5, 15.5, 16.1, 16.6, 17.2, 17.4, 17.2, 
##     16.4, 16.2, 15.9, 15, 14.2, 13.4, 12.6, 10.9, 9.44, 7.25, 
##     6.68, 6.14, 1.25, -0.75, -1.21, -22.7, -26.6, -28.5, -39.9, 
##     -44.5, -48.7, -52.4, -54, -55.1, -57.3, -58, -57.7, -56.3, 
##     -55.3, -53.1, -51.9, -49, -46.4, -45.6, -44.5, -43.7, -38.6, 
##     -42.1, -42.4, -42.4, -41.8, -41.4, -39.3, -37.7, -35.6, -32.5, 
##     -30.6, -29, -27.3, -24.1, -24.5, -25.1, -26, -27.5, -27.9, 
##     -27.7, -27.5, -27.4, -28.7, -29.8, -30.8, -32, -33.6, -34.9, 
##     -36, -38.2, -40.8, -46.3, -48.5, -49.3, -51.7, -52.7, -53.7, 
##     -54.6, -55.7, -56.8, -58.5, -60.6, -59.8, -59.1, -57.5, -52.9, 
##     -46.9, -42.4, -40.8, -39.2, -36.2, -34.3, -32.9, -29.9, -27, 
##     -25.8, -22.1, -22, -22.7, -23.9, -25.2, -26.6, -26.9, -28.6, 
##     -29.4, -30.3, -33.8, -36.4, -37.5, -38.3, -38.9, -38.9, -37.9, 
##     -37.3, -36.2, -36.3, -36.8, -38.4, -39.4, -40.1, -40.7, -41.2, 
##     -40.8, -40.4, -39.5, -38.8, -38.4, -37.5, -36.3, -35.3, -34.8, 
##     -33, -29.5, -30.5, -31.8, -32.1, -32.5, -33.2, -33.9, -34.9, 
##     -37, -38.9, -39.9, -42.1, -44.5, -45.5, -48.5, -49.5, -50.2, 
##     -52.6, -54.2, -57.3, -58.7, -60.4, -60.9, -60.8, -60.8, -59.6, 
##     -57.9, -55.6, -54.3, -51.7, -50.3, -47.4, -46.1, -43.5, -39.9, 
##     -33.7, -29.2, -25.4, -24.6, -24, -23.8, -23.8, -24.1, -24.7, 
##     -25.2, -25.8, -27.3, -27.9, -29.3, -29.8, -30.4, -31.3, -33, 
##     -33.4, -34.9, -39.7, -40.8, -41.8, -43.7, -43.7, -44.2, -44.4, 
##     -44.4, -43.7, -43, -41.6, -40.9, -40.2, -39.4, -37.7, -36.8, 
##     -35.8, -34.7, -33.6, -32.3, -29.6, -28.2, -26.6, -61.3, -62.5, 
##     -64.6, -65.3, -65.4, -65, -63.3, -62.5, -61.6, -58.3, -57, 
##     -55.8, -51.8, -50.6, -49.4, -48.3, -45.4, -43.1, -42.2, -41.4, 
##     -40.3, -38.7, -34.7, -32.7, -32.2, -40.5, -40.7, -41, -41.1, 
##     -41.1, -40.7, -40.6, -40.2, -40.1, -40.1, -40, -39.9, -39.8, 
##     -38.1, -34.3, -29.5, -28.1, -27.3, -27.1, -27, -26.9, -27.2, 
##     -27.5, -28.5, -29.3, -36.9, -39.2, -42.4, -44.9, -51, -53.7, 
##     -56.5, -61.4, -63.8, -79.7, -82.5, -85.1, -87.6, -94.3, -95.1, 
##     -96.8, -98.9, -99.5, -99.9, -100, -98.9, -98.3, -96.8, -96, 
##     -95.2, -94.3, -93.2, -90.8, -86, -81.9, -77.2, -72.3, -69.7, 
##     -65, -62.7, -53.1, -49.2, -47.8, -42.8, -39.3, -37.8, -38.3, 
##     -38.5, -38.7, -39, -41.6, -42.8, -44, -46.2, -48.1, -48.8, 
##     -49.6, -51.4, -51.8, -51.9, -52, -52, -51.9, -51.7, -51.4, 
##     -50.3, -49.2, -46, -44.3, -42.5, -36.6, -34.1, -30.4, -29.8, 
##     -30.4, -31.2, -32.4, -36, -38.5, -55.2, -58.2, -61.1, -70.1, 
##     -73.9, -75.3, -76.9, -78.3, -79.9, -81.3, -82.7, -83.9, -88.3, 
##     -89.7, -90.2, -90.5, -91, -91.4, -90.2, -89.4, -88.3, -84.3, 
##     -82.7, -81.3, -79.7, -76.7, -74.9, -70.9, -68.6, -65.9, -63.5, 
##     -59.2, -57.2, -52, -49.4, -47, -42.1, -39.2, -39.8, -41.4, 
##     -42.1, -42.5, -42.9, -42.9, -45.6, -47.2, -48.1, -48.8, -50.4, 
##     -51.8, -52.6, -52.9, -53.1, -53.7, -54.1, -54.5, -54.9, -56.3, 
##     -56.2, -55.9, -54.3, -53.6, -52.4, -51.6, -51.2, -43.8, -42.9, 
##     -42.9, -43.1, -43.5, -44.2, -44.8, -46.5, -47.5, -49.3, -53.7, 
##     -60.7, -62.4, -66.5, -68.1, -74.8, -76.3, -79, -80.3, -81.5, 
##     -82.6, -83.8, -86.6, -39.2, -39.9, -40.3, -40.8, -41.9, -42.3, 
##     -42, -41.6, -41.3, -40.9, -41, -41.3, -41.9, -43.1, -45.2, 
##     -45.8, -46.9, -49, -48.7, -46.3, -45.2, -44, -40.9, -40, 
##     -40.1, -40.1, -39.8, -39.6, -39.5, -39.6, -40, -40.4, -41, 
##     -41.3, -42.8, -44.2, -45.8, -47.2, -58.5, -67.8, -69.2, -71.5, 
##     -73.9, -80, -81.2, -82.4, -85.1, -85.4, -85.1, -84.9, -84.5, 
##     -84.2, -83.9, -83.4, -82.8, -81.1, -80, -78.8, -77.5, -76, 
##     -72.8, -69.3, -67.5, -61.9, -59.3, -58.2, -57.2, -56.2, -42.8, 
##     -39, -52, -51.4, -50.7, -50, -49.2, -48.3, -45.2, -41.8, 
##     -39.6, -38.1, -32.9, -32.5, -32.4, -35.3, -36.9, -39.7, -41.2, 
##     -42.9, -46.7, -51.9, -54, -55.8, -57.8, -59.6, -61.2, -62.7, 
##     -65.7, -68.8, -70.3, -75.9, -78.8, -79.9, -81.1, -84, -86.3, 
##     -86.9, -87.2, -86.9, -86.6, -84.9, -79.6, -72, -70.1, -68, 
##     -65.9, -59.5, -58, -56.6, -55.4, -53.3, -52, -50.4, -48.3, 
##     -46.6, -42.3, -38.8, -37.4, -36.5, -36.7, -37.2, -37.7, -38.2, 
##     -38.5, -39.6, -41.6, -44.2, -45.4, -48.2, -46.7, -46.9, -47.5, 
##     -48.3, -48.9, -51.3, -51.6, -51.8, -50.4, -48.2, -46.8, -41.6, 
##     -39.5, -39.4, -38.2, -37.2, -34.7, -33.5, -32.3, -30.2, -30, 
##     -30, -32.2, -33.1, -34.4, -36.2, -37.9, -39.8, -42, -46.7, 
##     -49.5, -52.7, -58.1, -69.5, -71.7, -74.1, -78.8, -80.6, -86.5, 
##     -85.5, -85.1, -84.5, -83.7, -82.7, -79.9, -74.5, -72.5, -70.6, 
##     -67.5, -66, -62.5, -57, -55.5, -54.3, -52.7, -50, -44.8, 
##     -36.6, -35.9, -36.3, -36.9, -38.6, -41.2, -41.9, -42.4, -42.6, 
##     -42.8, -42.8, -42.1, -41.8, -41.5, -44, -44.2, -44.5, -44.6, 
##     -43.5, -43, -41.4, -40.5, -37.4, -35.2, -34.8, -34.4, -34.2, 
##     -34.1, -34.2, -34.4, -34.6, -34, -33.7, -34, -34.3, -36.1, 
##     -37.5, -39.5, -44.1, 31.1, 29.1, 26.7, 18, 15, -1.15, -0.48, 
##     0.38, 1.47, 0.55, 0.51, 1.53, 5.44, 7.46, 9.87, 12.2, 15.8, 
##     21.6, 23.9, 25, 26, 27.7, 28.9, 29.4, 29.8, 29.6, 28.4, 28.5, 
##     28.5, 28.2, 28.1, 28.1, 28, 26.7, 24.8, 22.1, 20.6, 18.9, 
##     17.2, 13.8, 11.9, 10.3, 7.09, 6.22, 5.25, 4.81, 8.78, 9.85, 
##     11.8, 12.1, 12.8, 13.4, 13.7, 13.9, 14.3, 13.9, 10.9, 10.1, 
##     8.92, 6.74, 1.86, 0.81, 0.04, -0.22, 0.27, 1.91, 3.06, 3.47, 
##     3.95, 4.66, 8.89, 11.7, 14.4, 19.5, 21.7, 22.9, 25.3, 27.8, 
##     29.1, 30.4, 31.6, 32.7, 33.8, 34.8, 37.7, 38.7, 40.5, 41.4, 
##     42.1, 42.8, 43.5, 44.7, 45.2, 45.6, 47.9, 50.8, 52.7, 53.7, 
##     54.4, 54.5, -40.2, -40.8, -40.8, -40.5, -40.9, -42, -42.7, 
##     -43.5, -47.1, -48, -48.2, -48.3, -48.7, -49, -49.4, -49.9, 
##     -50.4, -52.5, -52.9, -52.9, -52.4, -85.8, -85.4, -85.3, -83.2, 
##     -82.2, -80, -78.9, -76.8, -75.6, -74.3, -72.8, -69.8, -66.9, 
##     -65.4, -62, -60.2, -54.6, -53.7, -52.9, -52.4, -51.8, -49.9, 
##     -48.8, -43.3, -41, -31.1, -28, -27.7, -28.6, -28.9, -29.7, 
##     -29.7, -29.1, -28.5, -29.7, -31.6, -36.1, -36.8, -37.5, -38, 
##     -38.9, -39.5, -39.8, -40, -21, -20.2, -19.9, -20.4, -23.3, 
##     -24.8, -26.5, -27.9, -30.7, -31.2, -31.9, -33, -34.5, -35.5, 
##     -38.3, -43.1, -44.4, -45, -45.8, -46.5, -47, -48.3, -56.9, 
##     -36.8, -35, -31.1, -28.5, -27.1, -27, -26.9, -28.1, -29.9, 
##     -35.5, -36.2, -36.4, -36.4, -36.5, -37.1, -38.5, -38.4, -38.3, 
##     -38.3, -39.4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     133, 137, 139, 142, 143, 145, 144, 143, 143, 143, 143, 143, 
##     142, 142, 141, 139, 136, 134, 125, 118, 112, 106, 97.4, 95.3, 
##     93.4, 91.3, 92.7, 91.8, 88.6, 87.6, 86.9, 85.6, 89.5, 90.4, 
##     90.7, 90.6, 90.5, 90.1, 89.7, 89.3, 87.8, 87.4, 87.1, 86.9, 
##     86.9, 87.2, 87.2, 86.3, 85.7, 85.1, 83.2, 82.7, 82.3, 82, 
##     82.4, 82.5, 84.7, 85.1, 85.3, 85.4, 85.6, 85.8, 86, 86.3, 
##     87.3, 87.8, 89.4, 89.5, 89.4, 89.3, 89.2, 89.1, 88.7, 87.2, 
##     86.7, 76.7, 76.4, 77.2, 80.8, 84.8, 87, 91.2, 93.3, 95.6, 
##     98.5, 102, 106, 118, 124, 126, 130, 131, 132, 132, 133, 134, 
##     135, 134, 134, 133, 132, 129, 95, 97.4, 100, 106, 116, 123, 
##     124, 125, 126, 127, 127, 126, 124, 119, 115, 105, 103, 98.5, 
##     91.4, 85.9, 90.1, 90.9, 92.3, 93.1, 94.2, 94.6, 95.5, 95.7, 
##     95.9, 95.9, 95.9, 95.8, 95.7, 94.9, 94.3, 92.8, 92.1, 89.7, 
##     90.1, 90.9, 92.2, 112, 108, 108, 108, 108, 109, 110, 111, 
##     113, 114, 117, 118, 120, 123, 125, 126, 127, 129, 130, 132, 
##     132, 135, 136, 138, 139, 140, 140, 140, 140, 156, 154, 153, 
##     141, 139, 137, 134, 132, 131, 127, 125, 123, 117, 113, 108, 
##     103, 102, 100, 29, 28.8, 28.6, 25.5, 22.4, 21.4, 20, 19.1, 
##     19, 19.2, 17.4, 16.9, 15.5, 14.4, -1.16, -56.1, -149, 87.5, 
##     90.6, 77.4, 77.3, 78.9, 79.2, 78.9, 78.4, 77.3, 76.2, 74.9, 
##     74.3, 74.2, 74.1, 74.1, 74.9, 77, 78.9, 82, 83.3, 66, 62.7, 
##     62.3, 62.9, 65.9, 67.8, 69.5, 70.7, 73.7, 75.9, 81.2, 84.9, 
##     88.4, 97, 103, 109, 117, 129, 141, 144, 150, 155, 156, 153, 
##     152, 143, 149, 153, 154, 155, 156, 159, 160, 160, 160, 158, 
##     158, 157, 152, 145, 143, 140, 133, 125, 117, 107, 95.8, 148, 
##     146, 143, 141, 135, 131, 121, 118, 115, 95.2, 91.8, 89.5, 
##     87.7, 85.3, 84.7, 84.2, 83.7, 81.7, 80.9, 80.1, 77.9, 77.6, 
##     77.5, 64.4, 65.2, 66.6, 78.7, 80.5, 92.1, 97.1, 114, 121, 
##     139, 143, 148, 151, 154, 155, 156, 155, 154, 151, 151, 151, 
##     152, 149, 145, 84.3, 88.4, 92.8, 98.3, 104, 110, 131, 137, 
##     142, 144, 149, 151, 153, 154, 156, 155, 154, 153, 152, 150, 
##     147, 145, 118, 70.2, 70, 69.8, 69.8, 69.7, 69.7, 69.6, 69.6, 
##     69.6, 69.6, 69.4, 69.2, 69, 68.7, 68, 67.3, 65.9, 65.5, 65.1, 
##     64.6, 64.2, 63.9, 63.7, 64.3, 71.6, 73.6, 75.7, 63.5, 63.4, 
##     63.1, 59.8, 58.7, 58, 58.2, 63.6, 65.7, 65.4, 65, 64.9, 64.8, 
##     65.1, 66.3, 76.3, 87.5, 100, 114, 118, 122, 126, 130, 134, 
##     134, 133, 65.9, 65.8, 65.7, 65.6, 65.6, 65.9, 66.2, 67.3, 
##     69.1, 70.3, 70.8, 71.3, 71.9, 72.1, 71.5, 69.9, 69.5, 69.2, 
##     68.9, 67.9, 67, 64.4, 62.1, 61.7, 63.5, 99.8, 101, 101, 102, 
##     102, 102, 103, 104, 109, 111, 116, 118, 126, 129, 131, 134, 
##     141, 143, 145, 147, 149, 150, 148, 147, 146, 144, 140, 139, 
##     136, 135, 134, 131, 128, 126, 120, 118, 113, 112, 111, 105, 
##     101, 94.6, 91.9, 88.3, 87, 85.8, 84.5, 76.5, 75.6, 74.8, 
##     74.2, 73.8, 73.2, 72.4, 71.3, 69.9, 69.8, 70.6, 71.5, 71.4, 
##     72.8, 73.5, 76.4, 77.6, 78.9, 80.2, 81.5, 86, 87.7, 89.6, 
##     91.4, 95.1, 102, 108, 110, 114, 116, 118, 122, 123, 124, 
##     125, 125, 125, 125, 122, 119, 118, 116, 115, 113, 111, 103, 
##     100, 97.3, 91.2, 84.6, 81, 77.4, 73.9, 63.7, 61.3, 59.2, 
##     57.7, 53.7, 50, 48.3, 47.2, 46.9, 46.7, 46.5, 46.3, 46.2, 
##     46.1, 46, 46.1, 47.2, 48.5, 49.4, 51.9, 52.6, 55.7, 56.8, 
##     58.1, 59.5, 69.6, 73, 76.2, 83.7, 94.5, 98.4, 106, 21.5, 
##     21.2, 19.4, 18.9, 18.4, 17.7, 16.3, 13.6, 12.4, 9.08, 7.47, 
##     5.61, 4.93, 4.24, 3.67, 2.49, 1.97, 1.46, 0.16, 0.06, 0.54, 
##     2.11, 3.57, 3.18, 2.89, 2.7, 9.3, 9.03, 8.9, 8.91, 9.16, 
##     10.9, 11.6, 14, 14.6, 15, 14.7, 14.4, 13.2, 13, 12.8, 11.7, 
##     11.2, 10.6, 9.43, 8.03, 7.41, 6.98, 6.74, 7.23, 7.54, 7.82, 
##     6.88, 6.32, 5.6, 4.94, 4.19, 3.6, 0.95, 0.22, -3.83, -7.93, 
##     -10.8, -14, -17.6, -21, -24.2, -27.8, -27.3, -21.8, -17.6, 
##     -4.87, 3.23, 8.01, 14.4, 16, 17.3, 18.5, 21.1, 22.2, 23, 
##     23.6, 25.3, 25.7, 25.9, 24.8, 23.9, 24.3, 26.4, 27, 26.5, 
##     26.2, 26.1, 26.1, 26.1, 26.3, 26.3, 26.2, 25.9, 25.7, 24.9, 
##     24.6, 24.6, 24.8, 24.8, 24.8, 24.8, 25.2, 25.4, 26, 25.8, 
##     26.7, 27.5, 28.6, 122, 119, 116, 110, 108, 99.9, 97.7, 92.8, 
##     84.6, 81.1, 79.5, 78.1, 75.2, 74.7, 73.9, 73.4, 73.3, 73.2, 
##     73.2, 73.2, 73.2, 73.1, 71.7, 69.6, 69.3, 68.8, 68.4, 67.8, 
##     67.2, 67.2, 67.3, 67.7, 68.6, 72.7, 73.6, 80.5, 82.4, 84.4, 
##     88.7, 100, 103, 104, 107, 108, 111, 113, 112, 112, 111, 108, 
##     108, 107, 107, 106, 106, 104, 99.8, 98.8, 98.7, 98.5, 97.7, 
##     96.6, 94.4, 93.6, 93.5, 93.9, 93.1, 92.4, 89.8, 86.7, 84.7, 
##     83.6, 79, 78.7, 78.5, 78.3, 79.2, 79.5, 79.9, 80.3, 80.9, 
##     82.1, 84.1, 87.1, 95.7, 97.4, 101, 110, 110, 109, 109, 106, 
##     101, 101, 99.6, 98.7, 98.9, 98.9, 98.1, 97.9, 98, 98.3, 98.4, 
##     98.5, 97.8, 98, 98.3, 99.7, 99.3, 99.1, 97.6, 96.5, 88.5, 
##     87.1, 82.5, 80, 78.9, 78.1, 77, 74.9, 73, 71.9, 71.7, 71.6, 
##     71.5, 71.2, 71, 72.3, 74, 76.6, 77.5, 78.3, 79.5, 80.8, 85.9, 
##     87.5, 89.2, 90.6, 92, 92, 91.7, 91.3, 91.3, 91.2, 91.2, 91.4, 
##     91, 90.2, 89.7, 86.7, 86, 84.9, 82.5, 82.4, 82.4, 82.7, 83.4, 
##     84.6, 88, 89.7, 92.4, 93.6, 102, 110, 114, 117, 120, 125, 
##     127, 133, 133, 134, 135, 136, 136, 136, 137, 137, 137, 137, 
##     137, 136, 136, 135, 131, 122, 114, 96, 90.3, 88.6, 88, 87.9, 
##     88, 88.6, 88.9, 89.3, 91.6, 93.1, 93.8, 94.4, 94.9, 95, 95, 
##     94.9, 94.9, 95, 95.6, 95.6, 95.4, 93.5, 92.2, 89.7, 89, 88.3, 
##     87.7, 86.8, 86.5, 86.5, 87.2, 88.2, 89.4, 91.1, 92.9, 99, 
##     101, 111, 121, 124, 126, 132, 137, 138, 138, 138, 138, 138, 
##     139, 139, 137, 136, 134, 132, 124, 121, 116, 113, 107, 104, 
##     100, 91.6, 91.2, 90.9, 90.4, 90, 89.9, 90, 90.1, 92.2, 94.6, 
##     95.2, 95.3, 95.4, 95.6, 95.8, 95.9, 95.9, 95.7, 94.9, 94.2, 
##     91.5, 90.9, 90.4, 90, 89.4, 89.3, 89.5, 89.9, 90.7, 91.7, 
##     93, 94.6, 98.1, 104, 106, 111, 114, 118, 122, 124, 129, 131, 
##     134, 140, 141, 142, 142, 142, 142, 142, 142, 141, 141, 140, 
##     139, 135, 133, 131, 128, 126, 113, 111, 106, 104, 100, 97.2, 
##     93, 92.6, 91.9, 91.6, 91.3, 90.5, 88.6, 87.6, 87.2, 87.6, 
##     87.9, 88.1, 89.9, 84.4, 85, 84.6, 84.1, 83.5, 82.8, 81.9, 
##     81.3, 80.6, 80.1, 79.6, 79.7, 80.2, 80.3, 80.5, 80.6, 80.6, 
##     80.6, 80.6, 79.9, 81.4, 82.3, 88.2, 90.6, 92.4, 94.4, 103, 
##     105, 104, 100, 97.9, 95.7, 90.1, 85.3, 83.4, 76.8, 76.2, 
##     75.1, 75.2, 75.6, 76, 76.3, 76.6, 79.3, 79.7, 80.1, 80.3, 
##     79.8, 79.5, 78.9, 78.5, 78.1, 77.9, 77.6, 76.6, 76.3, 75.6, 
##     75.4, 75.5, 78.4, 79.7, 81.2, 82.3, 82.9, 83.8, 89.1, 91.3, 
##     93.4, 97.4, 98.1, 95.6, 93.2, 90.3, 88.9, 85.1, 76.6, 75, 
##     73.5, 72.3, 71.4, 69.2, 68.8, 69.3, 69.4, 69.2, 69.6, 69.1, 
##     69.2, 69.8, 70.3, 72.9, 73.5, 73.6, 73.5, 72.5, 71, 69.7, 
##     69.1, 68.5, 67, 67.4, 68, 70.1, 71.3, 73.8, 74.8, 75.6, 77.1, 
##     81.6, 93.6, 95.2, 97, 97.2, 97, 96.2, 91.9, 90.5, 89.3, 87.7, 
##     85.4, 83.1, 81.6, 76.9, 74.1, 72.5, 71.4, 70.5, 70, 69.1, 
##     69, 68.8, 69.5, 70.7, 72.7, 74.9, 77.3, 78, 78.2, 77.7, 75.8, 
##     74.9, 74, 73.9, 78.3, 80.2, 82.2, 82.8, 83.1, 83, 83.1, 86.7, 
##     88.9, 91.4, 93.7, 97.7, 101, 103, 104, 103, 102, 100, 98.7, 
##     97, 95, 93.2, 91.2, 89, 86.5, 79, 78.9, 78.8, 78.6, 78.1, 
##     77.7, 77, 76.8, 76, 76, 77.1, 77.7, 78.8, 80.1, 81.7, 84.6, 
##     88.9, 89.2, 99, 103, 105, 106, 106, 106, 105, 101, 99.6, 
##     95.1, 86.7, 81.5, 80.1, 79, 73.8, 73, 72.9, 72.9, 73.4, 73.7, 
##     74.3, 74.8, 75.3, 75, 74.8, 74.6, 74.5, 74.5, 74.5, 74.5, 
##     75, 75, 75.2, 75.1, 74.7, 74.4, 72.8, 72.2, 94.6, 98.6, 104, 
##     108, 114, 120, 133, 142, 144, 146, 148, 150, 152, 160, 162, 
##     161, 161, 159, 158, 157, 154, 151, 148, 143, 136, 132, 125, 
##     106, 102, 96.8, 93.2, 86.4, 82.4, 80.1, 78.8, 78.3, 77.3, 
##     77.2, 77.9, 78.2, 78.5, 78.8, 79.3, 79.2, 78.9, 78.7, 78.3, 
##     77.9, 77.4, 76.4, 75.4, 74.5, 74.2, 74, 73.8, 73.6, 75.9, 
##     81.8, 83.5, 87, 89.8, 100, 104, 108, 112, 131, 135, 139, 
##     141, 144, 148, 149, 152, 154, 155, 156, 156, 156, 155, 152, 
##     144, 134, 129, 116, 110, 105, 99.4, 89.9, 83.9, 82.9, 82.1, 
##     80.7, 79.7, 78.8, 78.3, 77.7, 77.8, 78.2, 78.4, 78.7, 79.1, 
##     80.3, 80.8, 80.7, 80.4, 80, 79.2, 78.2, 76.5, 74.1, 72.7, 
##     70, 67.6, 68.4, 74.5, 134, 133, 130, 125, 81.8, 78.8, 77.3, 
##     75.6, 73.2, 73, 72.7, 72.3, 71.7, 70.7, 70.3, 70.6, 72.2, 
##     72.8, 73.3, 73.7, 74.2, 74.7, 75, 75.2, 75.4, 75.5, 75.6, 
##     75.5, 75.4, 75.4, 75.4, 75.2, 75, 74.9, 74.8, 74.5, 75.1, 
##     75.4, 75.6, 75.8, 76, 75.9, 76.1, 76.3, 77.1, 77.5, 78.5, 
##     79.6, 80.5, 81.3, 82.4, 82.5, 82.4, 82.2, 81.6, 81.1, 80.6, 
##     79.5, 79.1, 78.7, 78.1, 77.6, 77.1, 77, 77.1, 77.3, 78.3, 
##     78.7, 79.2, 79.4, 79.6, 80.2, 80.8, 81.6, 81.7, 81.7, 81.7, 
##     81.8, 83.5, 83.6, 82.9, 81.9, 81.7, 81.6, 81.6, 82.6, 83.3, 
##     84.1, 84.2, 84.6, 84.5, 80.9, 80.4, 80.1, 79.1, 77.8, 76.3, 
##     76, 75.9, 75.7, 75.5, 75.1, 75, 74.9, 74.6, 74.4, 74.5, 74.7, 
##     74.7, 74.5, 73.9, 73.3, 73.4, 73.8, 74.5, 75, 74.9, 74.6, 
##     74.4, 74.2, 74.1, 74.1, 74, 73.9, 73.9, 73.8, 73.8, 73.9, 
##     74, 74, 74, 73.8, 73.8, 73.7, 73.7, 73.6, 73.4, 73.2, 73, 
##     72.2, 71.9, 71.5, 71.3, 71.1, 70.9, 70.4, 69.8, 69.6, 70.1, 
##     71.5, 70.5, 69.8, 65.6, 65.9, 70.7, 71.7, 72.4, 70.3, 69.9, 
##     69.4, 68.6, 66.6, 66.8, 68, 68.7, 68.9, 68.9, 69.2, 70.1, 
##     72.5, 74.8, 77.2, 79.6, 79.9, 80, 79.8, 79.3, 78.4, 77.2, 
##     72.6, 71.8, 70.2, 67.9, 66.3, 65.9, 65.5, 64.4, 64, 63.6, 
##     62.7, 62.7, 64.2, 65.4, 67.6, 66.3, 66.6, 68.7, 70, 71.3, 
##     71.6, 71.6, 71.4, 70.8, 69.6, 68.6, 68.2, 68.2, 69.1, 69.9, 
##     70.6, 72.1, 72.5, 74, 75.9, 78.3, 79.4, 81.5, 76.3, 75.6, 
##     74.5, 73.5, 71.8, 71.3, 71.5, 72.1, 72.8, 73.3, 74.5, 75.2, 
##     75.7, 77.1, 77.8, 79, 81.5, 82.1, 78.5, 72.2, 71.3, 70.4, 
##     69.6, 68.6, 67, 66.3, 65.9, 65.4, 66.1, 66.8, 67.7, 69.7, 
##     69.9, 69.9, 69.8, 69.8, 71.4, 72.9, 73.2, 71.6, 70.4, 69.9, 
##     69.5, 68.6, 68.3, 68, 68, 69.1, 69.9, 72, 73.8, 74.8, 77, 
##     79.5, 82.1, 84.3, 85.3, 86.7, 87.2, 86.9, 86.4, 85.6, 83.5, 
##     82.4, 81, 77.9, 74.6, 71.4, 70.1, 67.6, 66.6, 65.6, 64.6, 
##     62.8, 62, 60.4, 59.7, 59.2, 59.4, 59.6, 60, 61.7, 62.7, 64.9, 
##     65.9, 66.7, 67.3, 67.6, 67, 66.6, 66.3, 66.1, 64, 63.9, 63.9, 
##     64.3, 64.6, 65.3, 66.8, 67.6, 73.1, 74.7, 79.1, 81.1, 83, 
##     85, 80.5, 75.4, 73.6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 23.8, 18.9, 16, 18.6, 20, 21.8, 
##     23.2, 24.9, 25, 23.6, 22.5, 21.5, 21, 20.4, 20.3, 20, 19.9, 
##     19.7, 18.7, 18.1, 17.3, 15.4, 15, 14.7, 13.2, 13.1, 13.3, 
##     14.1, 15.6, 16.2, 17.4, 23.5, 23.6, 23.5, 23.2, 23.2, 23.6, 
##     23.8, 24.1, 25.2, 25.1, 24.7, 23.9, 23.8, 23.7, 23.5, 22.8, 
##     22.8, 22.7, 22.6, 22.5, 22.4, 22.3, -136, -139, -144, -147, 
##     -150, -151, -153, -153, -155, -155, -154, -154, -154, -156, 
##     34.4, 33.8, 33.4, 31.8, 30, 29.4, 29.6, 30.4, 29.7, 29.7, 
##     30, 30.6, 31, 31.6, 34, 34.2, 34.2, 34.2, 33.4, 32.8, 32.1, 
##     30.4, 29.6, 30.1, 30.6, 31.1, 31.1, 31, 30.9, 30.5, 30.1, 
##     29.6, 29.1, 28.5, 27.7, 27.6, 27.7, 27.9, 28.1, 28.4, 27.7, 
##     27.5, 27, 26.8, 26.6, 26.2, 26.1, 25.7, 25.9, 26.4, 27.3, 
##     27.4, 27.6, 28.7, 29.9, 31.5, 31.4, 29.9, 26.5, 11.8, 8.61, 
##     5.39, -0.42, -4.96, -7.15, -10.8, -13.9, -16.8, -18.7, -19.2, 
##     -19.5, -20, -20.7, -21, -22.4, -23, -24.2, -24.5, -24.7, 
##     -25.9, -25.6, -25.3, -25, -24.2, -23, -21, -20.1, -19.1, 
##     -18.2, -17.3, -15.1, -14.3, -13.5, -13.1, -11.2, -11.7, -13.1, 
##     -13.6, -14.1, -14.7, -18.1, -19.1, -21.1, -22.5, -22.3, -22.3, 
##     -22.3, -22.5, -21.8, -21.6, -21.5, -21.4, -21.2, -21.3, -21.6, 
##     -22, -22.1, -22.2, -20.8, -20.4, -19.7, -18.9, -11.5, -10.9, 
##     -10.5, -10, -9.6, -8.36, -6.69, -5.41, -4.61, -4.08, -3.37, 
##     -2.98, -2.27, -1.02, 0.42, 0.6, 0.65, 0.65, 0.63, 0.63, 0.76, 
##     0.88, 1.61, 1.68, 1.8, 2.33, 3.09, 3.28, 3.47, 3.64, 3.76, 
##     3.8, 3.72, 3.37, 2.76, 2.46, 2.31, 2.35, 2.31, 2.19, 1.84, 
##     1.51, 1.01, 0.72, 0.62, 0.59, 0.64, 0.68, -0.29, -0.77, -4.26, 
##     -5.17, -6.76, -7.34, -8.35, -9.24, -11, -11.9, -15.5, -19.1, 
##     -21.8, -22.3, -22.7, -22.7, -22.7, -23.5, -23.6, -23.7, -24.3, 
##     -24.2, -23.8, -21, -20, -19.1, -16, -15.2, 11.9, 12.3, 11.7, 
##     11.4, 11.2, 11.1, 11, 11.1, 11.4, 11.2, 10.1, 10.2, 10.3, 
##     10.5, 10.8, 11.1, 11.1, 10.9, 10.7, 9.93, 9.55, 9.25, 9.03, 
##     8.81, 8.37, 7.55, -1.35, -2.25, -3.37, -5.81, -8.29, -10.9, 
##     -12.1, -13.9, -14.8, -15.5, -15.9, -16.9, -17.4, -18.9, -19.2, 
##     -19.5, -20.3, -20.4, -20.5, -20.3, -19.6, -18.3, -17.8, -17.1, 
##     -15.6, -12.9, -7.77, -7.13, -7.04, -7.09, -7.09, -6.92, -4.92, 
##     -4.98, -5.45, -6.07, -6.96, -7.09, -7.15, -7.13, -6.95, -6.64, 
##     -5.8, -5.2, -5.55, -5.86, -5.45, -5.25, -5.05, -4.86, -4.51, 
##     -4.67, -5.49, -5.56, -5.37, -5.41, -5.53, -5.68, -5.7, -5.86, 
##     -6.22, -6.44, -7.02, -7.42, -7.78, -8.28, -8.91, -9.54, -10.2, 
##     -16.3, -18.7, -20.3, -20.8, -22.5, -22.4, -22.3, -22.1, -21.9, 
##     -21.9, -22.1, -22.3, -22.3, -21.7, -19.4, -18.5, -16.7, -15.7, 
##     -14.5, -12.7, -10.4, -9.97, -9.14, -9.18, -10.3, -9.79, -9.32, 
##     -9.22, -9.27, -9.63, -9.77, -9.83, -9.8, -9.7, -9.52, -9.27, 
##     -8.77, -8.49, -8.51, -8.57, -8.65, -8.79, -8.91, -8.74, -8.18, 
##     -7.85, -7.59, -7.34, -7.11, -6.94, -6.92, -7.15, -7.62, -7.84, 
##     -8.06, -8.84, -11.4, -12, -12.6, -13.2, -14, -14.6, -17.8, 
##     -18.5, -18.9, -19.1, -19.5, -20.2, -20.7, -21.1, -21.1, -14.3, 
##     -14.4, -14.3, -14.2, -13.5, -13.8, -13.9, -13.9, -13.9, -13.8, 
##     -13.4, -13.2, -12.9, -12.5, -12.1, -11.7, -11.7, -11.6, -11.5, 
##     -11.2, -10.4, -9.85, -9.86, -9.9, -9.89, -9.87, -9.86, -9.34, 
##     -9.34, -9.74, -10.2, -10.6, -11.2, -11.9, -12.5, -13.6, -14.2, 
##     -16.9, -20.7, -22, -23.3, -24.5, -26.7, -29, -29.1, -28.6, 
##     -28.1, -27.8, -27.8, -28.3, -28, -27.8, -26, -21.1, -17.3, 
##     -15.1, -13.9, -12.3, -11.2, -11.4, -12.4, -12.3, -11.2, -11.2, 
##     -11.3, -11.6, -12.1, -12.6, -13.1, -13.9, -14.1, -13.9, -13.7, 
##     -13.3, -13, -12.8, -12.7, -12.2, -11.9, -11.4, -10.9, -9.6, 
##     -9.21, -9.44, -9.63, -9.86, -10.3, -10.4, -10.7, -12.4, -14, 
##     -14.9, -15.8, -16.5, -18.3, -21.1, -22.9, -24.7, -26.1, -26.9, 
##     -26.5, -26.2, -25.4, -25, -26, -26, -25.7, -25.1, -21.7, 
##     -17.2, -15.4, -14.4, -13.7, -12.4, -12, -11.6, -11.3, -11.1, 
##     -11, -10.7, -10.6, -10.6, -10.7, -10.9, -11, -11.2, -11.2, 
##     -11.2, -11.4, -11.6, -11.8, -11.7, -11.5, -10.2, -9.8, -8.95, 
##     -9.11, -8.95, -8.47, -8.19, -7.24, -7.54, -8.25, -8.54, -8.67, 
##     -8.07, -7.59, -7.18, -8.59, -11.2, -12.4, -15.5, -17.3, -20.9, 
##     -22, -23.8, -24.5, -25.4, -25.6, -26.5, -26.4, -26.1, -25.6, 
##     -23.7, -23.7, -23.7, -23.2, -22.7, -22.1, -20.2, -18.1, -15.9, 
##     -15.3, -13.9, -13.4, -12.5, -12.3, -12.1, -11.9, -11.8, -12.2, 
##     -14.4, -14, -13.8, -13.8, -14.3, -15.6, -16.5, -17.2, -22.1, 
##     -22, -22.7, -23.3, -23.7, -23.6, -22.9, -21.9, -20.7, -18.4, 
##     -14.2, -12.3, -12.2, -12.7, -12.8, -12.8, -12.8, -13, -13.2, 
##     -13.6, -14.2, -9.2, -7.58, -1.73, -0.94, -0.69, 0.01, 0.61, 
##     8.28, 8.92, 8.15, 8.41, 9.58, 9.35, 9.76, 10.4, 11.5, -25.7, 
##     -26.4, -26.5, -26.5, -26.4, -26.4, -26.5, -27.1, -28.1, -28.6, 
##     -29.1, -29.2, -29.3, -29.6, -29.7, -29.9, -30.1, -30.2, -30.3, 
##     -30.3, -30.2, -29.8, -29.5, -29.2, -28.7, -28.4, -27.6, -26.9, 
##     -26.5, 21.8, 21.5, 20.9, 21, 21.5, 21.5, 21.4, 21.4, 21.8, 
##     22.2, 22.5, 22.6, 19.9, 18.6, 17.1, 14.6, 13.6, 9, 4.36, 
##     -7.85, -43.6, -95.9, -117, -91.7, -105, -110, -114, -117, 
##     -121, -123, -125, -126, -124, -110, -40.6, -4.56, 24.7, 24.6, 
##     25.5, 24.1, 23.6, 22.2, 19.3, 19.5, 20.8, 17.5, 17.7, 18, 
##     18.9, 19.3, 19.8, 20, 19.5, 18.8, 16.5, 4.92, 1.92, -1.18, 
##     -4.75, -18.2, -28.7, -33.7, -45, -84.3, -54.9, -59.3, -63.8, 
##     -66.6, -69.3, -71.8, -75.9, -77.3, -79.8, -80.9, -82.6, -83.7, 
##     -84.1, -83.8, -83, -81.3, -80.6, -79.6, -35, -35.3, -35.4, 
##     -35.5, -35.1, -35.1, -35.6, -37.2, -38.1, -39, -39.9, -41.3, 
##     -41.9, -41.8, -41.5, -41.1, -39.9, -39.1, -38.1, -37, -35.8, 
##     -33.6, -32.4, -32.7, -33.1, -33, -31.5, -31.6, -33.3, -57.4, 
##     -59, -60.7, -64.4, -67.3, -68.9, -72.6, -77.6, -79, -82.9, 
##     -83.5, -84.4, -84.8, -85.2, -85.4, -85.6, -85.7, -85.6, -84.1, 
##     -83.7, -82.6, -79.8, -78.5, -77.1, -75.5, -73.8, -71.9, -70, 
##     -68, -66, -64.1, -62.5, -61.4, -59.7, -56.1, -54.2, -49.3, 
##     -46.2, -43.6, -41.5, -40.1, -37.7, -37.5, -37.4, -37.6, -39.5, 
##     -40.1, -41.1, -41.3, -41.4, -41.4, -41.2, -41, -40.9, -41.2, 
##     -41.5, -41.6, -42.5, -42.6, -42, -35.9, -29, -28.1, -27.7, 
##     -27.7, -29.7, -30.6, -31.3, -31.2, -31.9, -33.1, -34.5, -36.3, 
##     -37.9, -39.8, -41.5, -45.4, -47.5, -55.4, -58.8, -61.7, -65, 
##     -67.8, -82.7, -84, -85.3, -86.6, -88, -93.9, -95.3, -95.6, 
##     -95.1, -94.6, -94.1, -93.5, -93, -92.4, -90, -87.5, -85.7, 
##     -77.5, -73.4, -71.3, -67.5, -66, -58.3, -53.1, -50.1, -37.3, 
##     -34.6, -34.7, -34.8, -34.9, -35.3, -37.1, -38.4, -42.7, -43.9, 
##     -45, -45, -44.8, -44.4, -44.2, -44, -44, -44.2, -44.6, -45, 
##     -45.6, -47.5, -53.5, -54.7, -55.9, -55.8, -54.8, -53.9, -50.1, 
##     -48.7, -44, -37.7, -36.7, -35.9, -92.9, -95.6, -95.7, -95.5, 
##     -94.9, -94.2, -93.4, -92.9, -92.3, -91.7, -90.9, -89.9, -88, 
##     -86.9, -82.7, -78.1, -76.5, -74.9, -68.7, -65.9, -64.5, -58.5, 
##     -56.9, -53.8, -54, -54.7, -53.8, -52.2, -51.5, -50.5, -49.8, 
##     -48.9, -48.1, -47.3, -43.8, -44.2, -44.4, -44.7, -44.8, -44.7, 
##     -44.4, -44, -43.5, -43, -41.6, -41.5, -41.5, -41.4, -41.2, 
##     -42.4, -43.6, -44.3, -44.7, -45.8, -47.4, -48.1, -49.7, -50.6, 
##     -48.2, -46.1, -45, -44, -43.1, -41.3, -40.4, -37.6, -36.4, 
##     -36, -35.8, -35.8, -35.9, -36.1, -36.5, -37.9, -39.6, -40.8, 
##     -42.1, -42.6, -43, -43.5, -44.6, -45, -46.9, -47, -45.4, 
##     -45.1, -44.5, -44.1, -43, -40.7, -39, -37.5, -33.4, -32.2, 
##     -28.9, -29.4, -30.5, -31.1, -31.7, -32.7, -32.9, -32.8, -32.5, 
##     -32.4, -33, -33.7, -34.7, -37.4, -38.5, -41.4, -42.4, -43, 
##     -43.6, -44.4, -44.4, -43.9, -43.2, -42.8, -42.4, -42, -41.5, 
##     -40.4, -38.9, -38.1, -35.2, -34.6, -34.2, -33.9, -33.9, -33.8, 
##     -33.4, -33.3, -33.2, -33.2, -33.2, -34.6, -36.5, -36.7, -36.9, 
##     -37.3, -38.3, -38.8, -40.3, -41.4, -42, -44.7, -45.5, -46.5, 
##     -45.9, -44.9, -43, -35.8, -34.1, -33.5, -32.9, -32.6, -32.2, 
##     -30.4, -30.4, -30.9, -31.3, -35, -34.9, -34.8, -34.9, -35, 
##     -35.6, -36.1, -38.2, -39.4, -39.9, -40.2, -40.8, -41.1, -41.3, 
##     -42.4, -42.5, -42.2, -42.1, -46.5, -46.6, -45.4, -43.4, -42.5, 
##     -49.6, -49.9, -49.8, -49.5, -45.6, -44.5, -43.4, -41.5, -39.6, 
##     -38.6, -37.4, -33, -32.4, -32.1, -32.5, -32.8, -33, -33.1, 
##     -32.9, -32.2, -31.8, -32, -34.4, -35.3, -36.2, -37, -38.9, 
##     -43.6, -44.4, -45.2, -46, -46.4, -46.6, -46.6, -44, -38, 
##     -36.4, -35.4, -34.7, -34.2, -32.2, -30.2, -29.1, -28.8, -28.5, 
##     -28.5, -29.1, -29.2, -29.7, -29.9, -30.3, -30.6, -31.3, -31.9, 
##     -32.6, -35.3, -40.4, -39.2, -36.8, -33.9, -32.1, -31.8, -31.5, 
##     -30.8, -30.7, -30.3, -29.9, -30.9, -35.3, -36.3, -38.3, -39.4, 
##     -40.3, -43.1, -48.5, -32.1, -33.7, -35.6, -37.4, -41.5, -44, 
##     -44.3, -44.3, -43.6, -43.6, -43.6, -43.4, -43.2, -43, -42.2, 
##     -41.1, -39.2, -38.6, -37.9, -37.3, -36.7, -36.3, -35.5, -35.1, 
##     -45.3, -40.1, -39.5, -38.9, -37.4, -38, -40.8, -41.8, -43.1, 
##     -43.6, -45, -46.5, -47.8, -48.2, -49.3, -50.1, -51, -53.1, 
##     -35.1, -34.9, -34.6, -34.4, -34.2, -34.2, -34.6, -39.2, -41.4, 
##     -44.2, -54.2, -57.3, -60.6, -63.5, -67.7, -69.2, -76.7, -81.4, 
##     -82.7, -86.3, -89, -91.4, -92.2, -71.7, -70.1, -68.5, -66.9, 
##     -63.5, -61.9, -60.8, -59.6, -58.6, -54.3, -51.9, -49.6, -46.9, 
##     -44.1, -39.3, -39.3, -39.9, -40.1, -38.9, -38, -34.8, -34, 
##     -33.1, -33.2, -34.3, -34.7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78.9, 77.1, 76, 74.5, 
##     74.1, 73, 72.5, 72.2, 71.9, 71.6, 71.6, 72.7, 73.4, 75, 77, 
##     77.4, 78.2, 78.4, 90, 93.2, 96.2, 97.8, 99, 101, 101, 99, 
##     97.8, 94.6, 92.4, 86.6, 80.6, 80, 78.9, 78.9, 79.2, 79.4, 
##     79.7, 80.2, 80.5, 80.6, 81, 81.3, 82.5, 83.2, 96.1, 94.9, 
##     93.4, 93, 92.9, 93.2, 93.6, 94.5, 95.1, 95.2, 95.4, 95.6, 
##     96, 96.1, 96.3, 96.4, 96.5, 95.7, 95.2, 94, 93.3, 92.5, 90.6, 
##     90.3, 90, 89.9, 92.2, 93.3, 94.1, 51.1, 49.9, 49.4, 49.2, 
##     48.6, 47.8, 49.1, 51, 53.4, 59.9, 73.6, 88.6, 99.6, 105, 
##     119, 123, 126, 129, 130, 129, 128, 31.9, 34.3, 37.2, 52.1, 
##     72, 103, 126, 138, 138, 135, 132, 121, 97, 91.6, 86.2, 77.8, 
##     70.2, 67, 64.6, 62.3, 60.3, 57.7, 54.7, 54.1, 53.6, 52.1, 
##     51.2, 51.3, 52.1, 52.2, 52.2, 2.54, 2.49, 2.7, 2.85, 3.29, 
##     3.25, 2.79, 1.33, 0.52, 0.36, 1.01, 1.88, 2.84, 4.35, 5.34, 
##     5.64, 5.5, 5.48, 5.55, 5.64, 5.78, 6.02, 9.22, 22, 21.7, 
##     20.9, 19.9, 18.9, 18.8, 18.8, 18.9, 18.8, 18.7, 18.3, 17.4, 
##     17.6, 18.9, 20.6, 21.1, 21.8, 22, 21.9, 20.8, 21.8, 21.7, 
##     125, 129, 130, 129, 128, 120, 112, 106, 94.5, 80.1, 64, 54.3, 
##     45.7, 42.4, 32.1, 29, 24.8, 24, 23.6, 22.7, 82.4, 83.5, 74.3, 
##     71.9, 71.3, 70.9, 70, 68.8, 68.1, 67.4, 66.9, 66.5, 66, 66.2, 
##     66.6, 67, 67.3, 68.1, 69, 70.2, 71.5, 73, 74.9, 76.8, 78.2, 
##     79.5, 80, 80.1, 79.2, 78.7, 77.5, 87.8, 109, 113, 130, 134, 
##     137, 140, 143, 144, 145, 146, 148, 149, 151, 151, 151, 150, 
##     149, 147, 144, 139, 54.3, 54.4, 54.6, 54.1, 54, 53.7, 53.6, 
##     53.3, 53.1, 52.9, 53.5, 56.9, 60, 61.6, 64, 67.5, 71.7, 77, 
##     97.6, 121, 125, 133, 133, 123, 119, 115, 104, 102, 98, 96.2, 
##     93.9, 85.9, 74.7, 71.1, 69.2, 60.4, 59.2, 58.8, 58.4, 57.8, 
##     56.6, 56.4, 56.3, 56.3, 56, 55.8, 55.4, 55.6, 55.7, 56.3, 
##     56.7, 56.7, 57, 57.5, 58.3, 59.5, 63.1, 64.8, 69.4, 72.1, 
##     76.2, 88.7, 97.5, 107, 136, 136, 130, 127, 124, 120, 115, 
##     112, 69.4, 73.7, 79.5, 98.3, 104, 110, 115, 131, 136, 134, 
##     122, 118, 114, 94, 80.3, 73.9, 71.4, 69.3, 67.4, 63.9, 61, 
##     60.3, 56.1, 55.2, 54.1, 54.1, 54, 53.7, 53.5, 53.2, 53.1, 
##     53.1, 52.9, 52.8, 53, 53.4, 53.9, 54.1, 54.2, 55.2, 55.9, 
##     57, 59.7, 62.1, 65.6, 69.7, 76.1, 92.9, 110, 127, 137, 139, 
##     136, 134, 131, 127, 119, 109, 104, 94.4, 85.1, 80.3, 68.2, 
##     64.5, 59.5, 57.5, 55.5, 51.5, 50.4, 49.9, 50.5, 50.5, 50.3, 
##     50.1, 92, 91.7, 91.2, 90.1, 89.3, 87.9, 87.5, 86.6, 86.3, 
##     85.9, 85.6, 85.3, 85.1, 84.9, 84.5, 83.8, 84.1, 84.3, 84.6, 
##     86.8, 90.2, 90.9, 88.6, 85.5, 82.3, 78.8, 74.9, 73, 65.8, 
##     62.9, 61.6, 60.5, 59.5, 57, 56.4, 56.1, 55.8, 55.6, 54.1, 
##     53.7, 53.8, 54.2, 54.9, 55.7, 56.6, 58.8, 61.9, 63.9, 64.3, 
##     65.1, 65.4, 65.8, 65.6, 65.2, 65.3, 66.2, 67.6, 69.1, 86.8, 
##     83.1, 82.1, 80.9, 80.4, 80.7, 80.9, 81.3, 81.3, 81.3, 81.2, 
##     81.3, 81.5, 81.6, 81.9, 82.1, 82.5, 83.2, 85.1, 85.9, 86.8, 
##     87.6, 88.7, 89.7, 91, 101, 108, 116, 111, 108, 107, 107, 
##     106, 106, 104, 103, 102, 101, 101, 101, 101, 101, 101, 99.5, 
##     97.9, 98.2, 98, 97.7, 97.6, 97.4, 97, 96.8, 96.6, 96.3, 94.2, 
##     93.3, 92.2, 91.4, 91.1, 90.7, 90.7, 90.8, 90.9, 92.8, 94.3, 
##     94.9, 95.3, 95.8, 95.9, 95.8, 95.9, 96.5, 96.9, 97.6, 98.1, 
##     104, 102, 100, 96.6, 95.5, 94.4, 93.2, 90.5, 84.1, 81.7, 
##     79.9, 79.2, 78.3, 78.1, 78.1, 78.2, 78.1, 77.6, 77.1, 76.9, 
##     77.6, 78.1, 78.6, 80, 80.8, 81.5, 83.4, 85.5, 86.6, 89.1, 
##     91.9, 93.4, 94.7, 98.8, 100, 104, 105, 110, 115, 116, 117, 
##     118, 118, 118, 117, 115, 111, 109, 106, 88.7, 81.9, 78.6, 
##     72.4, 67.2, 63.1, 55, 54.7, 54.4, 54.3, 54.1, 53.8, 53.5, 
##     53.2, 53, 52.9, 52.8, 52.9, 53.3, 53.5, 56, 56.8, 59.6, 60.7, 
##     37.6, 37.8, 36.9, 36.1, 34.8, 34.4, 34.2, 34.5, 34.7, 34.7, 
##     34.6, 34.6, 34, 33.8, 33.5, 33, 32.8, 32.6, 32.3, 32.1, 31.9, 
##     29.6, 28.8, 28, 25.7, 23.7, 22.6, 21.3, 20.3, 16.4, 15.5, 
##     14.8, 13.7, 12.9, 12.4, 12, 11.5, 9.93, 9.48, 8.65, 7.95, 
##     7.7, 7.48, 7.66, 7.84, 8.02, 8.27, 8.55, 8.84, 9.05, 9.83, 
##     11, 12.5, 13.2, 13.4, 13.7, 14.3, 16, 16.9, 17.9, -3.74, 
##     -4.05, -4.33, -4.52, -4.64, -4.59, -4.27, -3.98, -2.67, -2.21, 
##     -1.79, 0.03, 0.84, 1.35, 3, 3.99, 5.28, 7.15, 7.74, 9.39, 
##     10.4, 12.1, 12.6, 12.6, 12.1, 11.7, 11.7, 11.3, 11, 9.59, 
##     8.81, 7.93, 7.49, 6.33, 4.53, 3.51, 2.47, 1.37, 0.41, -1.8, 
##     -2.29, -2.99, -3.34, -3.68, -4.36, -4.68, -5.17, -5.26, -5.24, 
##     -5.2, -5.16, -4.78, -4.56, -4.15, -3.79, -3.73, -3.31, -2.7, 
##     -2.07, -1.9, -1.82, -1.87, -2.07, -2.32, -2.64, -2.61, -2.6, 
##     -1.78, 2.35, 3.64, 4.75, 6.89, 8.99, 10.8, 11.4, 12, 12.3, 
##     12.4, 12.4, 11.7, 11.3, 10.1, 6.38, 4.11, 3.34, 3.27, 3.32, 
##     3.35, 3.44, 3.88, 4.07, 3.99, 3.87, 4.4, 4.27, 2.92, 1.25, 
##     0.11, -1.44, -3.61, -6.28, -9.29, -11.7, -8.98, -4.61, 0.73, 
##     4.73, 13.1, 15.2, 18.7, 20.5, 26.3, 26.3, 25.7, 25.1, 23.5, 
##     -42.1, -42.1, -42.1, -42.3, -42.1, -38.2, -37.5, -36.3, -36.1, 
##     -36.2, -36.8, -36.9, -36.2, -34.7, -34.6, -35.5, -35, -36.8, 
##     -37.3, -38.7, -39.4, -40.3, -40.6, -40.9, -41.4, -43.4, -43.6, 
##     -43.7, -43.5, -43.7, -44.1, -44.4, -45.3, -44.4, -43.7, -42.6, 
##     -41.2, -38.3, -36.7, -35.4, -32.7, -35.4, -40.7, -41, -41.4, 
##     -41.5, -41.6, -41.7, -41.7, -41.7, -41.8, -42, -42.3, -41.4, 
##     -40, -38.6, -37.8, -38.5, -39.9, -40.9, -41.7, -42.2, -42.7, 
##     -44, -43.8, -43.5, -43.3, -43.2, -43.3, -43.8, -44.1, -44.4, 
##     -45.2, -45.8, -46.6, -47.6, -48.3, -49.9, -50.8, -51.5, -54.6, 
##     -55.6, -56.4, -57.9, -62.2, -62.9, -62.6, -61.9, -61.6, -61.1, 
##     -61.1, -61.2, -61.1, -60.8, -59.6, -56.8, -54.7, -53.8, -53.2, 
##     -52.8, -50.3, -48.2, -41.6, -40.6, -38.9, -38, -38, -43.7, 
##     -40, -38.5, -37.8, -37.4, -37.3, -37.4, -37.3, -36.9, -36.6, 
##     -36.3, -36.2, -36.3, -36.7, -36.6, -35.3, -35.4, -35.6, -36.1, 
##     -36.3, -36.6, -37, -37.3, -37.5, -38, -38.1, -38.9, -43.2, 
##     -46.3, -48.1, -49.7, -51.2, -54.3, -55.7, -57.4, -58.9, -66.1, 
##     -67.6, -73.8, -75, -75, -72.3, -71.7, -71, -66, -64.4, -59.6, 
##     -58, -56.3, -53.4, -51.4, -43.3, -42.2, -39.3, -39.2, -39, 
##     -38.4, -37.9, -36.7, -38.1, -38.7, -39.2, -39.5, -39.4, -39.2, 
##     -38.2, -37.8, -37.6, -37.7, -38.4, -39.4, -39.9, -40.8, -42.2, 
##     -42.6, -43.1, -44.9, -47.8, -53.5, -56.8, -63.4, -64.4, -65.1, 
##     -66.1, -67.2, -68.3, -69.5, -70.8, -71.9, -75.4, -76.3, -77.3, 
##     -77.9, -78.2, -78.2, -78, -77.9, -77.5, -72.6, -70.2, -69.1, 
##     -65.2, -63.7, -61.9, -60.1, -56.3, -52.7, -42.6, -41.8, -38.4, 
##     -36.8, -36.8, -37, -37, -37.2, -37.8, -37.6, -37.5, -37.7, 
##     -37.7, -37.9, -38.4, -38.5, -38.6, -38.6, -38.7, -39, -39.7, 
##     -40.3, -40.7, -41.4, -42.9, -43.6, -45.5, -60, -58, -54, 
##     -52.6, -46.4, -44.7, -42.3, -42.1, -41.7, -41.2, -38.6, -38, 
##     -38.9, -38.8, -38.3, -38, -38.4, -38.7, -38.9, -39, -39, 
##     -39.2, -39.5, -39.8, -40.8, -46.9, -47.5, -58, -59.2, -60.5, 
##     -65.8, -68.5, -70, -74.2, -75.5, -76.8, -79.2, -81.3, -82, 
##     -82.6, -83, -82.8, -81.8, -80.5, -79.8, -78.9, -72.6, -63.6, 
##     -61.5, -60.8, -58.7, -57.5, -46.8, -45.4, -43.5, -42.8, -42.2, 
##     -41.6, -39, -38.8, -39.2, 71, 71.8, 72.6, 73.6, 74.9, 80.5, 
##     81.5, 84, 86.2, 96.2, 99.4, 103, 106, 106, 105, 102, 97.4, 
##     94, 84.6, 77.9, 73.9, 72.3, 72.1, 71.5, 71.3, 71.1, 71, 71, 
##     71.1, 71.2, 71.4, 72.3, 72.6, 74, 74.9, 76.1, 76.2, 76.3, 
##     76, 75.6, 75.2, 74.4, 73.8, 72.5, 71.9, 70.4, 69.8, 69.1, 
##     67.7, 67.6, 71.8, 73, 75.3, 75.5, 76, 78.4, 80.3, 82.8, 91.4, 
##     93.1, 94.5, 95.5, 96.3, 96.6, 96.4, 94.8, 92.5, 81.9, 75.1, 
##     72.6, 71, 67.7, 67.3, 67.5, 67.8, 68.1, 68.5, 69.7, 70.4, 
##     72.1, 73.1, 74.5, 75.1, 75.4, 75.6, 75.5, 75.3, 75.2, 75, 
##     74.9, 74.7, 74.6, 74.3, 73.8, 73.5, 73.1, 72.5, 71.9, 71.2, 
##     68.3, 67.6, 67, 67.6, 71, 72.9, 72.2, 72, 71.4, 71, 71.4, 
##     74.7, 75.1, 75.3, 75.1, 73.7, 73.5, 73.4, 73.5, 73.8, 75, 
##     75.3, 75.4, 75.2, 74.9, 73.9, 73.6, 73, 72.7, 73.3, 73.8, 
##     74.3, 76.4, 77.2, 78.1, 79.8, 80.8, 81.8, 82.8, 86.7, 92.4, 
##     108, 111, 114, 117, 119, 121, 123, 125, 126, 128, 128, 124, 
##     115, 112, 109, 106, 90.7, 87.9, 83.3, 81.9, 80.8, 80, 79.6, 
##     79.9, 80.5, 82.1, 84.8, 89.2, 90.5, 89.6, 89.5, 89.4, 89.3, 
##     89.1, 88.9, 88.8, 88.5, 88.3, 87.6, 87.1, 86.6, 85.9, 85, 
##     83.2, 82.4, 80.4, 82.2, 83.4, 85.2, 89, 91, 93.2, 94.7, 107, 
##     112, 117, 118, 119, 119, 120, 120, 120, 120, 119, 118, 110, 
##     107, 105, 103, 92.5, 89.8, 85.7, 84.6, 81.3, 81.1, 83.5, 
##     84.7, 85.8, 91.5, 92.7, 93.4, 92.9, 92, 90.4, 90.1, 89.7, 
##     89.5, 89.4, 89.1, 88.8, 88.3, 85.1, 82.5, 82, 81.7, 83, 84.2, 
##     85.5, 91, 92.9, 94.2, 95.9, 102, 107, 109, 113, 115, 117, 
##     118, 122, 122, 117, 115, 110, 106, 104, 103, 101, 94, 91.9, 
##     90, 88.3, 86.8, 85.6, 82.9, 82.5, 82.3, 82.3, 82.6, 82.9, 
##     84.6, 87.3, 88.8, 91.4, 92.4, 92.4, 92, 92, 92.6, 92.9, 93, 
##     89.6, 89, 86.9, 86.8, 86.9, 87.4, 90.6, 93.8, 97.2, 100, 
##     103, 114, 115, 117, 118, 119, 121, 121, 121, 119, 118, 114, 
##     108, 104, 103, 101, 98.5, 93.8, 86.8, 87.2, 89.3, 90.3, 92.6, 
##     93.7, 95.8, 96.2, 95.4, 94.2, 93.7, 93.4, 93.1, 93, 92.6, 
##     92.4, 92.2, 91.5, 91.2, 90.3, 86.3, 85.5, 84.1, 83.7, 83.7, 
##     83.9, 86.6, 88.4, 90.1, 94.2, 99.6, 102, 111, 115, 116, 117, 
##     118, 119, 120, 121, 121, 121, 120, 119, 112, 110, 107, 106, 
##     101, 99.7, 98.3, 97.1, 95.9, 94.7, 92.4, 92, 92.2, 92.8, 
##     93.6, 93.8, 94.5, 94.7, 94.7, 94.5, 94.3, 94.1, 93.4, 93.3, 
##     93.3, 93.5, 94.1, 94.4, 94.7, 94.8, 94.7, 93.8, 93.4, 93.1, 
##     92.8, 93.2, 93.5, 93.7, 94.7, 95.3, 97.2, 98.3, 99.5, 101, 
##     102, 104, 106, 109, 120, 120, 120, 120, 120, 120, 120, 119, 
##     116, 115, 113, 110, 108, 102, 100, 96, 94.5, 93.2, 91, 90, 
##     87.6, 88, 89.5, 90.2, 91, 93.4, 93.9, 93.7, 93.1, 92.9, 92.8, 
##     92.9, 93.2, 118, 119, 119, 118, 118, 116, 112, 111, 109, 
##     99.6, 96, 93.6, 92.4, 91.7, 90.5, 91, 91.9, 92.9, 94, 94.9, 
##     62.9, 61.5, 59.5, 59.2, 58.4, 58, 56.1, 56.2, 72.8, 75.4, 
##     76.2, 72.1, 70.9, 68.8, 68.8, 69.9, 71, 71.6, 73.2, 74, 75.4, 
##     77, 78.7, 80.4, 80.4, 80.2, 79.7, 77.3, 75.3, 74.8, 74.2, 
##     73.5, 72.9, 70.6, 70, 69.2, 68.4, 67.4, 65.1, 64.8, 64.2, 
##     62.6, 62.5, 62.6, 63.1, 63.9, 64.7, 68.9, 71, 73.3, 75.9, 
##     78.9, 84, 87.6, 88.9, 83.5, 78.5, 69.6, 67.5, 66.2, 64.7, 
##     64.8, 66, 66.7, 67.2, 67.3, 67.4, 67.6, 68.9, 69.5, 71.8, 
##     72.7, 73.4, 73.6, 73.5, 72.1, 71.6, 70.8, 70.3, 69.8, 69.2, 
##     68.5, 65, 63.9, 62.8, 61.7, 60.8, 60, 59, 59.3, 59.9, 61.1, 
##     61.4, 61.1, 62.5, 67.9, 69.3, 73, 75.7, 84.9, 87.4, 89.8, 
##     90.7, 90.2, 86.9, 84.5, 76.8, 75.1, 67.7, 67.6, 67.4, 66.9, 
##     66.8, 67, 67.3, 67.7, 68.1, 68.5, 71.2, 72.3, 72.4, 72.4, 
##     70.9, 69, 66.9, 66.2, 65.6, 64.8, 64.3, 63.5, 62.9, 61.6, 
##     61.6, 62, 65.2, 68.8, 71.2, 76.4, 83.1, 96.2, 99.1, 94, 88.7, 
##     86.2, 83.6, 79.1, 76.8, 71.6, 71, 70.9, 71.8, 72.6, 73.8, 
##     75.1, 75.1, 76.2, 74.4, 73.7, 73, 72.2, 71.5, 70, 67.6, 66.7, 
##     65.7, 65.2, 65.9, 66.9, 68.1, 71.1, 72.7, 73.6, 74.4, 78.1, 
##     80.2, 85.1, 88.2, 103, 105, 105, 101, 95.7, 85.7, 76.4, 74.4, 
##     73.2, 68.5, 67.5, 65.7, 68.9, 68.9, 69, 69, 69.2, 69.2, 69.2, 
##     69, 69.7, 69.8, 69.9, 70, 70.2, 70.2, 70.2, 70.3, 70.2, 70.2, 
##     70.2, 70, 69.9, 69.7, 69.6, 69.4, 69.2, 69.1, 69.4, 69.4, 
##     69.4, 69.2, 68.7, 68.3, 68.2, 68, 67.7, 67.6, 68.4, 69.1, 
##     69.9, 70.8, 74.4, 74.5, 87.2, 83.9, 81.2, 78.5, 75.7, 73.6, 
##     71.7, 68.1, 66.8, 65.6, 64.5, 63, 61.8, 60.6, 58.3, 58, 58.1, 
##     58.6, 58.7, 59.2, 59.3, 59.2, 59.5, 60.4, 68, 78.1, 92.7, 
##     110, 129, 132, 132, 127, 124, 119, 115, 109, 98.2, 94.2, 
##     91, 73.4, 70.7, 68.5, 60.4, 59.3, 58.4, 55.1, 54.3, 53.6, 
##     53.7, 54, 54.6, 54.5, 54.3, 54.2, 54.2, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, -18, -19, -18.5, -18.1, -17.6, -17.2, -16.9, 
##     -16.8, -16.9, -16.9, -16.7, -16.4, -16.1, -15.6, -15.3, -14.7, 
##     -14.2, -13.7, -13.4, -13.3, -12.4, -12.4, -12.2, -12.9, -13.3, 
##     -13.5, -13.3, -13.1, -13.1, -13.1, -13.3, -13.4, -13.5, -13.3, 
##     -12.8, -12.5, -12.3, -12.6, -12.6, -12.5, -12.4, -30, -29.9, 
##     -30.4, -30.9, -30.9, -30.9, -30.7, -30.9, -31.1, -31.4, -31.5, 
##     -31.8, -31.5, -31.6, -31.2, -30.7, -29.8, -25.6, -24.2, -22.9, 
##     -18.2, -15.4, -14.4, -13.5, -11.4, -11.1, -10.7, -9.73, -9.53, 
##     -9.54, -9.75, -10.6, -12, -12.9, -13.8, -15.9, -15.6, -15.4, 
##     -15.1, -14.8, -14.9, -15.1, -16.3, -16.5, -17.4, -17.5, -17.4, 
##     -17.2, -16.9, -16.7, -16.7, -17.6, -19.7, -18.9, -18.9, -19.4, 
##     -19.5, -19.4, -19.3, -19.2, -18.7, -18.5, -18.1, -17.9, -7.69, 
##     -6.81, -6.38, -5.89, -5.01, -4.98, -5.09, -5.39, -6.15, -7.01, 
##     -8.39, -10.3, -14.7, -17.5, -20.1, -33.8, -38.2, -53.1, -55.7, 
##     -58, -58.8, -48.9, -41.9, -6.71, -6.63, -6.11, -6.02, -5.93, 
##     -5.79, -5.66, -5.35, -5.19, -5.06, -4.96, -5.06, -3.89, -3.33, 
##     -3.23, -3.97, -8.02, -11.1, -15.3, -26.1, -38.5, -43.7, -48.4, 
##     -53.1, -56.6, -59.6, -61.8, -63.6, -64.7, -65.4, -65.2, -60.9, 
##     -58.4, -55.4, -44.3, -40.7, -37.3, -34, -22.7, -21.8, -20.3, 
##     -18.8, -16.8, -16.9, -16.8, -14.7, -14.1, -13.6, -34.9, -38.2, 
##     -51.9, -54.5, -59.1, -58.9, -57.2, -54.7, -53.4, -50.2, -48.5, 
##     -44.3, -41.6, -33.7, -28, -23.1, -22.4, -20.6, -20, -19.5, 
##     -17.4, -14.7, -13.6, -11.9, -10.8, -12.7, -11.7, -10.9, -9.92, 
##     -9.21, -8.7, -8.27, -8.57, -9.23, -8.59, -8.19, -7.54, -6.98, 
##     -6.83, -6.65, -6.32, -3.79, -5.15, -5.66, -5.67, -5.6, -5.58, 
##     -5.84, -8.22, -10, -12, -17.6, -26.4, -33.2, -36.5, -39.3, 
##     -42.5, -45.2, -51.6, -54.8, -56.3, -54.8, -52.9, -50.5, -49.2, 
##     -47.6, -43.9, -42.1, -36.9, -34.7, -34.1, -33.4, -31.9, -30.3, 
##     -26.5, -24.6, -18.1, -17.1, -13.2, -13, -12, -12.1, -13.7, 
##     -13.7, -13.3, -11.3, -11.2, -11.2, -11.1, -10.9, -10.7, -10.1, 
##     -9.58, -8.69, -8.34, -8, -8.01, -9.45, -10.2, -11.1, -12, 
##     -12.3, -24, -27, -30.5, -33.8, -36.8, -47.5, -50.2, -57.7, 
##     -58, -56, -55, -53.8, -50.1, -45.7, -43.4, -42.1, -38.7, 
##     -37.7, -36.9, -36.4, -33.7, -28.5, -23.6, -18.6, -17.8, -16.4, 
##     -15.3, -15.2, -15.2, -15.2, -15.2, -15.2, -15, -14.9, -14.7, 
##     -14.5, -14.5, -14.4, -14.3, -14.3, -14.3, -14.6, -15, -15.6, 
##     -16.5, -17.6, -19.7, -27.8, -26.5, -21.1, -20.5, -18.9, -17.1, 
##     -16.1, -12.8, -13, -13.4, -13.1, -11.3, -11.6, -11.8, -11.7, 
##     -11.5, -22.3, -28.3, -31, -46.4, -51.3, -65.8, -69.6, -72.2, 
##     -74.4, -76.4, -78.3, -80.7, -80.5, -80, -79, -75, -69.3, 
##     -67, -58.6, -51.7, -48.9, -46.3, -43.4, -41, -39.1, -35, 
##     -12.4, -11.9, -11.5, -10.8, -10.9, -11.1, -11.2, -11.2, -9.2, 
##     -8.82, -8.24, -8.02, -7.2, -6.85, -6.65, -8.13, -12.6, -17.5, 
##     -19.5, -23.8, -38, -34, -21.4, -17.6, -15.9, -14.6, -13, 
##     -12.1, -9.93, -9.36, -7.8, -7.42, -7.36, -7.47, -7.59, -7.73, 
##     -8.09, -7.64, -7.51, -7.25, -7.28, -7.25, -7.24, -17.6, -17.2, 
##     -17, -16.7, -15.8, -15.6, -15.4, -15.3, -15.3, -15.3, -15.2, 
##     -14.9, -14, -14, -13.8, -13.5, -12.9, -12.5, -11.9, -11.4, 
##     -10.4, -10, -9.18, -8.78, -8.48, -8.12, -8.19, -8.29, -16.2, 
##     -16.4, -16.4, -16.3, -16.3, -16.2, -16.3, -16.4, -16.3, -16.1, 
##     -15.9, -15.6, -15.3, -15.2, -15.8, -16.4, -16.6, -16.9, -11.5, 
##     -11.4, -11.6, -13.1, -15.8, -18, -18.6, -19.5, -20.6, -21.2, 
##     -22, -23.6, -26.3, -28.1, -29.1, -29.7, -30.2, -26.5, -26.3, 
##     -26.1, -25.9, -25.8, -25.5, -25.4, -25.3, -25, -24, -21.7, 
##     -21, -19.3, -17.5, -15.8, -13.9, -13.7, -13.4, -13.1, -12.7, 
##     -12.3, -11.9, -11.7, -11.6, -14.2, -14.1, -14.2, -14.8, -17, 
##     -17.6, -17.6, -17.8, -18.1, -18.6, -19.2, -21.5, -24, -26.2, 
##     -26.5, -26.6, -26.4, -26.2, -40.9, -43.5, -45.2, -46, -46.9, 
##     -47.8, -48.1, -42.2, -39.6, -38.4, -36.1, -32.6, -31.1, -31.4, 
##     -34.9, -35.8, -36.7, -38.3, -39.6, -39.5, -39.4, -39.3, -39.4, 
##     -40.2, -40.6, -41.5, -41.7, -45.8, -47, -47.7, -48.3, -49, 
##     -49.6, -49.9, -50, -49.7, -49.3, -49, -48.7, -48.4, -48, 
##     -47.1, -45.7, -45, -44.2, -42.9, -42.1, -40.2, -39.5, -37.1, 
##     -35.4, -34.2, -33.5, -33.7, -35.2, -35.5, -36.1, -39.1, -41.5, 
##     -42.5, -43.2, -43.6, -44, -44.2, -45.3, -45.2, -44.8, -44.1, 
##     -43.2, -41.9, -38, -37, -36.3, -36, -36.1, -38.4, -37.4, 
##     -36.6, -35.9, -34.9, -34.8, -35.6, -36.3, -36.8, -37.4, -38.3, 
##     -39.8, -40.1, -40.4, -41.7, -44.8, -48.6, -49, -49.3, -49.6, 
##     -49.9, -51.1, -51.9, -51.7, -51.3, -49.9, -48.1, -43.8, -42.8, 
##     -37.3, -35.9, -33.8, -32.8, -32.4, -32.3, -32.2, -32.1, -31.9, 
##     -31.6, -31.8, -32, -33.5, -34.3, -34.6, -34.9, -35.2, -30.3, 
##     -30.3, -30.4, -30.4, -30.4, -30.4, -30.6, -30.8, -31.9, -31.6, 
##     -31.1, -31.2, -31.6, -32.3, -33.7, -37, -41, -42.4, -43.6, 
##     -44.1, -44.2, -41.9, -40.5, -40.1, -39.8, -39.2, -39.1, -38.5, 
##     -37.8, -35.9, -35.2, -34.5, -33.8, -41.7, -40.4, -36.9, -36.1, 
##     -35, -35, -35.8, -36.4, -36.3, -35.7, -35.1, -34.5, -33.4, 
##     -33.5, -33.6, -33.7, -34, -34.5, -36.1, -36.6, -37.1, -37.5, 
##     -38, -40.1, -40.7, -41.8, -42.6, -42.7, -42.7, -42.7, -47.7, 
##     -52.1, -55.1, -58.1, -60.5, -65.4, -68, -73.4, -74.7, -76.9, 
##     -77.5, -76.8, -75.4, -74.2, -68, -66.3, -64.8, -61.9, -48.8, 
##     -50.2, -55, -56.6, -58, -59.4, -60.9, -62, -62.9, -63.8, 
##     -65.5, -67.2, -68.2, -69, -70.4, -69.1, -68.3, -67.5, -66.8, 
##     -64.7, -64, -63.2, -61.3, -59.2, -58.3, -56.4, -55.6, -54.5, 
##     -53.7, -52.8, -47, -46, -38, -37.9, -37.9, -38.5, -38.9, 
##     -38.9, -38.8, -38.7, -38.6, -38.8, -39.7, -41.6, -42.3, -42.7, 
##     -47.4, -37.2, -40.5, -41.7, -43.1, -44, -44.3, -47.8, -48.7, 
##     -50.8, -51.1, -50.8, -50.1, -49.6, -49, -46.8, -45.7, -44.8, 
##     -44, -43.6, -43.6, -43.3, -42.6, -41.7, -39.2, -35.6, -34.9, 
##     -34.4, -34.5, -33, -32.1, -32.7, -33, -33.5, -35.3, -36, 
##     -36.9, -38, -38.1, -38.3, -39.7, -41.6, -41.8, -41.5, -41.6, 
##     -42.6, -42.8, -42.6, -35.6, -38.8, -39, -39.3, -39.5, -40.3, 
##     -40.2, -40.2, -39.8, -38.5, -37, -35.6, -34.8, -33.6, -33.2, 
##     -32.5, -32.2, -31.8, -30.6, -30.4, -30.3, -30.3, -41.6, -41.5, 
##     -41.3, -41.2, -40.9, -39.4, -38.8, -37.3, -36.8, -36.6, -36.4, 
##     -35.6, -35.4, -35.4, -35.5, -36.3, -36.6, -36.8, -37.6, -38.3, 
##     -38.8, -39.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 71.3, 69.6, 69.6, 70.1, 84.7, 89, 93.5, 97.1, 119, 
##     122, 124, 124, 125, 124, 118, 115, 110, 104, 97, 103, 100, 
##     96.2, 75.5, 74, 74, 74, 74.1, 74.4, 76.1, 76.9, 77.8, 78.8, 
##     80.3, 80.1, 80.1, 80.3, 80.8, 81.2, 81.2, 81, 79.7, 78.7, 
##     77.6, 74.8, 73.4, 66.6, 68.3, 70.2, 71.8, 72.3, 73.1, 74.2, 
##     76.4, 78.8, 89.4, 92.7, 95.6, 100, 99.8, 99.1, 98, 96.6, 
##     95.3, 93.6, 87.5, 85.6, 83.7, 75.7, 74.2, 71.1, 69.7, 69, 
##     68.7, 68.9, 69.5, 70.2, 72.2, 67.2, 67.9, 73, 75.4, 76.8, 
##     77.2, 77.4, 77.4, 77.3, 76.7, 75.8, 75.3, 74.4, 73.8, 73.6, 
##     73.5, 73.3, 72, 68.2, 67.2, 66.4, 64.8, 64.7, 65.3, 65.9, 
##     74.7, 75.2, 77.3, 79.6, 82.8, 85.4, 86.6, 87.9, 89.9, 90.4, 
##     90.5, 88.4, 82.2, 80.4, 79.1, 77, 71.2, 69.4, 65.3, 64.9, 
##     64.5, 64.9, 65, 65.1, 65.3, 65.6, 19, 19.8, 20.5, 20.7, 20.5, 
##     19.6, 19, 18.8, 19.4, 19.6, 19.7, 19.2, 18.1, 14.4, 13.3, 
##     12.3, 8.51, 5.69, 4.46, 3.3, 2.2, 0.4, -0.77, -2.22, -2.55, 
##     -2.85, 62.9, 64.2, 69.1, 84.4, 91.9, 101, 102, 102, 92.9, 
##     90.9, 84.4, 79.1, 72.7, 58.7, 49.6, 42, 40.1, 36.8, 35.6, 
##     34.7, 34, 33.5, 32.2, 98.9, 102, 104, 104, 105, 105, 105, 
##     105, 105, 105, 106, 105, 105, 104, 70.1, 72.4, 73.7, 77.2, 
##     79.3, 81.9, 102, 105, 109, 113, 117, 126, 127, 127, 126, 
##     124, 121, 116, 109, 105, 104, 102, 100, 88.1, 100, 97.8, 
##     94.5, 87, 83, 79.2, 72.5, 69.8, 67.4, 65, 62.5, 61.5, 59.8, 
##     59, 58.3, 57.4, 56.9, 56.2, 54.6, 52.4, 52.1, 52.1, 52.1, 
##     52.2, 52.3, 53, 53.2, 54.8, 59.2, 62.2, 74.8, 76.3, 78.7, 
##     80.2, 81.5, 83.2, 84.5, 86.1, 99.3, 112, 125, 134, 137, 139, 
##     139, 132, 120, 117, 114, 112, 105, 100, 95.7, 91.4, 125, 
##     120, 115, 104, 93.2, 83.7, 61.3, 59.7, 59.5, 59.1, 58.9, 
##     58.9, 60.8, 62.8, 64.1, 75.7, 77.9, 79.7, 81.6, 83.4, 87.7, 
##     95.9, 102, 106, 109, 115, 121, 124, 129, 132, 140, 144, 145, 
##     145, 144, 142, 139, 138, 139, 139, 139, 0, 0, 0, -95, -90.9, 
##     -88.4, -85.8, -79.6, -65.2, -46.7, -30.5, -27.8, -26.1, -26.4, 
##     -26.9, -27.2, -27.4, -27.7, -27.9, -28.3, -28.6, -29.1, -30.8, 
##     -31.5, -33.1, -34.1, -42.7, -44.3, -48.1, -47.8, -46.1, -44.1, 
##     -42.8, -36.6, -36.1, -36.5, -36.8, -37.3, -38.7, -40.9, -42.3, 
##     -45.6, -50.9, -56.1, -61.1, -75.3, -77.5, -80.8, -82.5, -84.3, 
##     -88.1, -89.8, -93, -95.6, -96.4, -92.9, -89.9, -86.3, -84.1, 
##     -81.9, -76.6, -73.9, -68.7, -61.9, -58.6, -50.9, -47.2, -36.8, 
##     -32.3, -31.5, -31.2, -31.8, -32.2, -33.2, -34.6, -35.4, -37.6, 
##     -38.2, -39.8, -41.5, -42.1, -44.2, -43.8, -42.8, -42.2, -41.4, 
##     -39.7, -39.1, -37.4, -36.4, -34.8, -34.2, -33.3, -33.3, -33.2, 
##     -33.4, -33.8, -34.6, -42.8, -49.8, -58.9, -62.3, -70.4, -75.6, 
##     -77.6, -83.3, -86.2, -88.1, -88.5, -88.6, -88.5, -88, -87.4, 
##     -86.6, -82.9, -79.3, -77.3, -75.1, -70.2, -65.2, -61.2, -59.9, 
##     -57, -49, -45.6, -42, -38.9, -34.4, -33.1, -32.4, -33.2, 
##     -35.6, -36.3, -37.4, -38.4, -39.6, -40, -40.3, -41.6, -41.9, 
##     -42.2, -42.5, -63.4, -68.6, -75.7, -77.2, -80.2, -81.4, -84, 
##     -85.1, -86, -86.9, -87, -86.8, 49.4, 48.1, 47.8, 47.4, 46.5, 
##     45.7, 44.6, 43.2, 42, 40.1, 57.8, 62.4, 80, 85.5, 100, 110, 
##     126, 144, 147, 147, 145, 142, 139, 135, 130, 125, 118, 114, 
##     109, 82.7, 74.6, 69, 65.4, 61.4, 60.7, 60, 59.5, 58.4, 57.2, 
##     56.6, 55.3, 55, 54.5, 53.4, 53.8, 54, 54.1, 54.4, 54.6, 55, 
##     55.4, 56.1, 58, 60, 61.2, 63.1, 68.7, 76, 79.6, 99.2, 106, 
##     111, 133, 135, 136, 137, 136, 126, 121, 117, 112, 107, 103, 
##     96.4, 88.1, 82.9, 79.4, 75.4, 69.9, 67.9, 66.2, 64, 62.4, 
##     59.6, 59.3, 59, 58.2, 57.7, 57, 56.2, 55.9, 55.7, 55.2, 55, 
##     55.3, 55.9, 56.9, 59, 59.6, 60.7, 62.5, 67.2, 69.9, 72.9, 
##     79.4, 87.8, 92.5, 102, 106, 110, 119, 123, 128, 131, 134, 
##     135, 134, 129, 125, 121, 116, 111, 97.2, 91.6, 84.8, 75.6, 
##     73.2, 70.2, 65.7, 63.3, 62.8, 62.2, 61.7, 61.2, 59, 59.2, 
##     59.5, 59.2, 58.6, 58.3, 58, 57.7, 57.7, 57.6, 57.4, 56.8, 
##     56.7, 57.3, 63.9, 67, 70.4, 74, 77.7, 82.8, 87.8, 95, 107, 
##     117, 125, 129, 132, 137, 137, 136, 133, 130, 124, 117, 109, 
##     106, 67.7, 67.9, 68.3, 68.5, 68.8, 69, 68.9, 68.8, 68.7, 
##     68.7, 68.6, 68.1, 67.8, 67.8, 67.5, 67.4, 66.1, 65.9, 65, 
##     64.6, 64.1, 63.2, 62.1, 61.7, 60.8, 60.4, 60, 59.6, 62.6, 
##     74.2, 80.3, 97.2, 120, 145, 153, 155, 157, 160, 162, 164, 
##     165, 167, 167, 168, 167, 167, 166, 166, 167, 167, 168, 168, 
##     168, 166, 161, 154, 139, 135, 117, 86.2, 82.3, 79.5, 77.6, 
##     76.8, 77.1, 77.5, 77.6, 77.4, 77.2, 75.1, 73.3, 73.7, 74.2, 
##     74.5, 73.3, 72.2, 70, 68.2, 66.8, 66.1, 65.7, 66.2, 70.5, 
##     72.9, 75, 77.4, 81.2, 86.2, 91.5, 89.7, 86.1, 82.5, 79.8, 
##     76.7, 75.9, 75.2, 74.7, 74.3, 74.2, 74.3, 74.6, 74.2, 72, 
##     71.7, 71.7, 71.7, 71.8, 72, 72, 72, 71.9, 71.7, 71.3, 71.7, 
##     74.8, 76.4, 78.2, 81, 82.6, 84.4, 87.9, 92.4, 104, 121, 128, 
##     134, 142, 147, 153, 156, 158, 159, 159, 158, 157, 156, 155, 
##     154, 154, 153, 146, 126, 107, 102, 93.8, 87, 80.4, 80.5, 
##     80.7, 80.8, 78.9, 78.3, 77.8, 77.2, 76.8, 76.6, 76.1, 75.8, 
##     74.7, 74.6, 79.6, 86.7, 95.6, 100, 121, 130, 141, 144, 144, 
##     151, 152, 152, 151, 149, 148, 147, 146, 145, 142, 134, 129, 
##     127, 124, 120, 117, 108, 98.6, 92.4, 90.6, 80.2, 78.6, 78.2, 
##     77.7, 77.4, 76.4, 76.2, 76, 75.5, 75.5, 75.5, 76.4, 77.5, 
##     78.4, 79.5, 81.3, 83.5, 85.9, 87.7, 98.7, 108, 112, 117, 
##     125, 129, 133, 136, 138, 139, 143, 147, 149, 151, 154, 152, 
##     148, 144, 142, 140, 135, 132, 130, 129, 127, 124, 121, 104, 
##     95.7, 90.7, 87.3, 85.3, 82.2, 81.8, 81.2, 81.9, 82.1, 82.2, 
##     82.2, 81.9, 81.1, 81, 80.9, 81, 81.8, 82.3, 82.8, 83.4, 84.1, 
##     85, 86.2, 89, 93.1, 93.9, 95.6, 122, 135, 137, 140, 142, 
##     143, 145, 148, 149, 149, 148, 145, 144, 141, 138, 135, 131, 
##     128, 127, 123, 117, 114, 109, 107, 104, 102, 101, 100, 90.2, 
##     88.8, 85.5, 84.4, 84.3, 84.5, 84.9, 85.2, 85.1, 83.9, 82.4, 
##     81.7, 80.4, 79.9, 79.7, 81.2, 88, 96, 107, 114, 122, 129, 
##     131, 136, 138, 140, 142, 143, 145, 147, 146, 145, 144, 142, 
##     137, 135, 130, 123, 121, 119, 116, 102, 99.8, 96, 92.3, 91.8, 
##     91.7, 24.1, 23.9, 21.2, 22.2, 22.5, 22.9, 22.9, 22.6, 21.7, 
##     22.3, 22.6, 22.9, 23.2, 23.5, 23.7, 23.8, 23.8, 23.7, 23.3, 
##     22.9, 22.3, 15.8, 14.8, 11, 10.9, 11.9, 12.2, 11.3, 4.37, 
##     1.87, -13.2, -107, -120, -126, -129, -130, -130, -130, -127, 
##     -81.1, -60.8, -9.57, 12.2, 16.6, 18.1, 18.3, 18, 17.9, 17.6, 
##     17.3, 16.9, 16.9, 17.2, 16.9, 15.6, 13.9, 12.3, 10.3, 10.2, 
##     10.2, 10.3, 10.5, 10.7, 11.1, 11.2, 11.3, 10.9, 10.4, 8.93, 
##     8.11, 2.66, -0.04, -112, -126, -136, -137, -137, -137, -137, 
##     -138, -137, -136, -132, -127, -122, 26.8, 31.8, 33.1, 34, 
##     34.2, 33.2, 32.8, 31.8, 30.7, 29.4, 28.9, 28.8, 28.2, 27.7, 
##     28, 27.3, 24.8, 23.6, 21.2, 21, 21, 21.1, 21.7, 22, 22.2, 
##     21.8, 20.4, 18.4, 16.8, 16.2, 16.4, 16.5, 16.5, -11.1, -155, 
##     -156, -155, -153, -149, -150, -150, -156, -159, -163, -39.5, 
##     -40.2, -40.4, -40.4, -39.8, -39.6, -39.8, -39.7, -39.5, -39.2, 
##     -38.8, -38.7, -39.1, -39.3, -40, -40.7, -41, -41.7, -42.5, 
##     -43.8, -45.7, -46.8, -48.1, -49.3, -50.7, -52.9, -58.6, -59.5, 
##     -66, -67.4, -69.3, -70.9, -78.5, -80.5, -80.3, -75.7, -74.8, 
##     -73.8, -67.4, -63.3, -60.7, -56.9, -55.2, -52.3, -51.1, -48.2, 
##     -44.8, -43.6, -42.3, -41, -38.5, -37.2, -37.1, -37.5, -38.7, 
##     -39.3, -40, -40.6, -41.2, -40.6, -40.5, -40.3, -40.5, -41, 
##     -40.9, -40.8, -41.3, -44.7, -46.6, -53.3, -57.5, -61.8, -63.7, 
##     -65.4, -68.1, -68.6, -69.7, -70.6, -72.8, -73.9, -75, -76.6, 
##     -77.1, -82.3, -83.4, -86.6, -85.1, -84.3, -83.5, -82.7, -81.9, 
##     -65.3, -58.8, -57.3, -56.2, -55.5, -54.9, -54.3, -53.8, -51.7, 
##     -44.3, -42.9, -42, -40.9, -40.8, -39.9, -39.3, -36.5, -34.5, 
##     -34.3, -34.6, -35.4, -35, -34.9, -35.4, -38, -38.8, -39.2, 
##     -40.3, -42.6, -43.3, -45.5, -47.2, -48.2, -49.2, -50.4, -53, 
##     -54.4, -57.5, -58.9, -61.6, -64.9, -67.4, -68.4, -71.1, -73.3, 
##     -75.8, -78.7, -80.2, -84.2, -85.2, -85.6, -84.2, -82.8, -82.3, 
##     -81.9, -81.5, -76.1, -74.4, -72.7, -69.7, -66.3, -65, -59.7, 
##     -53.4, -52, -51.4, -51.4, -51.4, -50.6, -49.8, -48.9, -47.8, 
##     -46.7, -45.8, -44.8, -43.9, -43.1, -42.2, -40.4, -40.4, -40.5, 
##     -40.8, -41, -41.6, -41.1, -40.2, -40.2, -40.2, -40.4, -41.6, 
##     -41.8, -41.9, -42.1, -42.6, -43, -44.5, -45.4, -47.9, -51.2, 
##     -52.7, -54.3, -58, -59.7, -64.8, -65.4, -65.8, -66.1, -66.5, 
##     -67.2, -67.7, -68.3, -69.2, -72.7, -74.3, -77.7, -81.2, -83.1, 
##     -86.8, -90.7, -90.4, -89.4, -87.6, -86.4, -84.2, -83.3, -79.6, 
##     -76.9, -75.5, -74.3, -70.8, -69.7, -64, -62.4, -59.3, -57.5, 
##     -55.7, -53.6, -50.9, -49.6, -46.3, -43.1, -40.6, -39.9, -39.7, 
##     -39.5, -39.1, -38.6, -38.7, -39.1, -42.2, -42.8, -44.4, -45, 
##     -45.3, -45.8, -46, -46.1, -46.2, -46.3, -46.3, -46.5, -46.8, 
##     -47.1, -47.9, -48, -47.9, -47.8, -47.9, -48.1, -48.5, -49.1, 
##     -49.7, -49, -48.2, -48.1, -48.3, -48.3, -48.6, -49.2, -49.5, 
##     -50.5, -50.8, -51.1, -48.6, -47.5, -43.7, -42.3, -39.4, -38.4, 
##     -37.5, -36.9, -36.4, -36.1, -35.9, -35.7, -35.7, -35.9, -37.6, 
##     -41.4, -43.2, -47.6, -49.9, -52.9, -58.5, -61.6, -64, -65.9, 
##     -70.1, -71.2, -74, -75.6, -76.2, -76.1, -74.7, -69.2, -66.8, 
##     -55.9, -54.7, -53.5, -49.7, -48.4, -47.4, -46.6, -45.8, -45.8, 
##     -45.8, -45.9, -46, -46, -46.1, -46.2, -46.5, -47.3, -49.4, 
##     -51.4, -52.3, -53.1, -54, -54.3, -54.8, -55, -55.3, -55.4, 
##     -55.3, -55, -54.1, -53.5, -52.7, -51.2, -50.2, -49.3, -47.3, 
##     -47.2, -47.2, -47, -46.4, -44.6, -41.8, -41.5, -41.3, -41.5, 
##     -42.4, -45.8, -48.9, -50.2, -52.8, -53.9, -55.3, -58.4, -59.7, 
##     -61.5, -62.9, -65, -66.6, -68.1, -69.2, -70.1, -70.5, -71.5, 
##     -71.7, -71.9, -72.1, -72.1, -72.1, -70.8, -69.7, -67.5, -66.6, 
##     -65.7, -56.1, -54.6, -52.1, -51, -50.2, -49.4, -48.5, -43.5, 
##     -42.5, -41.6, -40.4, -40.6, -41.1, -41.6, -42.2, -42.6, -43, 
##     -43.8, -44.3, -46.8, -47.7, -49.6, -51, -51.7, -51.8, -51.6, 
##     -51.5, -51.3, -50.9, -48.3, -46.8, -45.4, -44.8, -43, -42.5, 
##     -42.1, -41.7, -41.6, -41.6, -42.8, -44, -49.3, -53.8, -58.8, 
##     -61.3, -62.9, -64.5, -66.1, -72.8, -75.7, -76.5, -77.2, -78.5, 
##     -78.2, -76.6, -75.2, -73.7, -69.3, -66.7, -64.2, -63.1, -62, 
##     -60.9, -58.4, -55.9, -54.6, -50.3, -49.2, -48.1, -46.4, -45.2, 
##     -44.6, -44.3, -44.2, -44.1, -44, -41.1, -38.9, -37.4, -36.1, 
##     -34.9, -33.5, -31.9, -31.9, -32.9, -36.5, -39.1, -41.7, -47.9, 
##     -56.8, -61, -66.3, -67.6, -71.8, -73.2, -73.1, -72.9, -72.4, 
##     -72.1, -72, -71.9, -71.2, -69.6, -68.9, -68.1, -67.3, -66.6, 
##     -65.1, -64.4, -63.7, -63, -62.4, -61.4, -57.6, -57, -53.2, 
##     -50.4, -49.5, -48.3, -47.6, -46.8, -47, -47.3, -47.6, -49.2, 
##     -50, -51.6, -52.3, -52.9, -52.1, -51.7, -51.2, -50.8, -50.9, 
##     -50.7, -49, -49, -50, -50.9, -51.9, -53.3, -53.5, -50.8, 
##     -49.5, -50.1, -53.6, -56.4, -62, -64.7, -69.7, -71.5, -73.2, 
##     -76.9, -82, -84, -85.5, -85.8, -85, -82.6, -79.5, -77.4, 
##     -75.9, -74.5, -73, -70, -67.7, -66.6, -63.2, -61.3, -59.5, 
##     -55, -51.2, -49.6, -47.6, -47.5, -48.2, -48, -47.9, -49, 
##     -49.8, -50.6, -52, -52.4, -52.3, -47.5, -46.3, -46.2, -46.4, 
##     -47.3, -47.6, -47.7, -47, -46.3, -44.4, -41.5, -41.2, -44.6, 
##     -45.7, -46.6, -48.5, -50.3, -51.2, -52, -54.7, -57.8, -67.5, 
##     -68.5, -69.3, -70, -71.8, -72.6, -79, -80.8, -81.3, -80.6, 
##     -80.3, -80.1, -80.1, -79.9, -79.7, -79.2, -78.5, -77.6, -76.6, 
##     -74.2, -70.1, -68.9, -67.9, -67.2, -66.7, -65.8, -64.8, -63.8, 
##     -62.8, -60.8, -57, -56, -55.3, -54.2, -55.5, -56.4, -58.7, 
##     -60.3, -60.7, -60.6, -60.6, -62, -62.8, -63.3, -64.1, -64.7, 
##     -63.6, -62.7, -60.6, -59.4, -58.4, -57.3, -55.8, -55, -54.1, 
##     -54, -53.9, -53.8, -57.2, -58.6, -61.5, -62.6, -65.5, -66.1, 
##     -67.2, -67.9, -72.3, -75.5, -77.1, -82.6, -82.7, -82.3, -81.7, 
##     -80.7, -80.2, -76.3, -75.3, -71.1, -69, -68.1, -67.3, -65.7, 
##     -64.7, -62.6, -59.4, -58.4, -57.1, -55.8, -54.4, -52.1, -51.9, 
##     -52.3, -53, -53.7, -55.8, -56.8, -56.9, -57.3, -57.7, -58.3, 
##     -59.7, -59.8, -60.1, -60.1, -59.1, 96, 97, 97.8, 98.4, 98.4, 
##     97.8, 97.3, 96.7, 96.3, 96, 95.5, 94.4, 94, 90.3, 89.1, 88.1, 
##     87.1, 85.2, 86.6, 87.9, 89.3, 92.8, 95.1, 96.8, 99.8, 102, 
##     107, 113, 125, 126, 126, 126, 125, 125, 122, 117, 114, 110, 
##     106, 102, 101, 98.5, 95.1, 93.5, 90.9, 89.8, 89, 88.2, 87.5, 
##     87.8, 88.2, 89.4, 90, 91.6, 92.2, 95.8, 96, 95.7, 95.4, 94.4, 
##     93.8, 88.7, 87.1, 86.9, 86.9, 87.2, 88.6, 92.5, 98.6, 99.4, 
##     100, 103, 104, 109, 122, 123, 124, 125, 124, 124, 122, 121, 
##     120, 112, 108, 105, 96.9, 95.1, 82, 82.7, 83.1, 83.6, 84.6, 
##     84.8, 84.9, 85.3, 85.5, 85.8, 85.9, 86, 86.2, 86.2, 86.2, 
##     86.4, 87, 87.2, 88.1, 87.9, 87.8, 87.4, 86.6, 86.3, 84, 83.6, 
##     83.3, 83, 82.9, 82.8, 82.8, 83.6, 84.5, 85.6, 88.7, 90.9, 
##     93.5, 109, 113, 116, 119, 127, 128, 129, 130, 131, 131, 131, 
##     129, 126, 125, 121, 114, 110, 105, 101, 99.4, 93.8, 92.7, 
##     90.6, 83.2, 82.6, 83.4, 84, 84.8, 86.5, 87.4, 88.4, 89.3, 
##     91.8, 99.4, 102, 110, 113, 122, 128, 130, 130, 128, 127, 
##     119, 117, 115, 112, 110, 108, 106, 96.6, 95.1, 93.4, 90.6, 
##     89.3, 85.7, 84.8, 83.9, 83.3, 82, 80.8, 81.2, 82.4, 83, 86.3, 
##     89, 90.8, 92.9, 100, 104, 111, 115, 120, 123, 130, 131, 133, 
##     134, 134, 131, 129, 126, 125, 120, 109, 106, 95.4, 91, 84.1, 
##     81.2, 77.8, 76.9, 75.9, 75.4, 75, 74.6, 74.8, 76.2, 77.1, 
##     78.3, 81.1, 82.6, 84.5, 93.1, 95.5, 101, 118, 122, 132, 133, 
##     138, 138, 138, 137, 133, 125, 122, 116, 113, 106, 103, 97.5, 
##     92.4, 90.1, 83.4, 78.6, 74.6, 73.6, 72.1, 71.6, 70.7, 69.4, 
##     68.6, 68.6, 68.9, 69.3, 69.9, 73.6, 74.8, 76.2, 82.7, 85.1, 
##     87.3, 90, 92.8, 101, 111, 137, 141, 140, 72.9, 75.7, 81.9, 
##     85.6, 92.6, 96.4, 100, 122, 127, 130, 136, 140, 142, 142, 
##     142, 139, 137, 135, 125, 122, 105, 101, 97.8, 93.9, 77.9, 
##     75.4, 73.3, 69.8, 68.3, 65.7, 64.8, 63.9, 62.8, 62.5, 62.3, 
##     62, 61.8, 60.7, 60.6, 60.9, 62.1, 64.4, 66.1, 68.5, 71.4, 
##     74.2, 80.3, 89.2, 94.8, 107, 118, 122, 125, 127, 129, 130, 
##     133, 134, 136, 132, 124, 120, 107, 90.7, 84.4, 76.5, 70.9, 
##     69.2, 67.8, 65.1, 61.1, 60.5, 60, 59.7, 59.5, 59.5, 60, 61.7, 
##     62.3, 63.8, 64.5, 65.4, 67.8, 69.7, 71.6, 78.8, 85.8, 91, 
##     96.5, 103, 120, 127, 130, 133, 138, 137, 136, 134, 133, 128, 
##     122, 118, 108, 102, 92.8, 85.2, 81.6, 77.8, 70.1, 68.1, 66.5, 
##     63.4, 62.2, 61.1, 59.4, 58, 57.6, 57.2, 56.9, 56.8, 57.7, 
##     58.2, 59.4, 61.5, 71.1, 89.3, 95.2, 122, 130, 133, 135, 142, 
##     51.2, 51.2, 51.2, 51.5, 52, 56.4, 63.9, 68.2, 85.3, 101, 
##     131, 138, 140, 141, 143, 144, 144, 145, 144, 143, 141, 139, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, -11.4, -11.5, -12.3, -12.8, -13.4, -13.9, -14.3, 
##     -14.3, -13.8, -13.1, -13, -13.4, -15, -23.1, -30.4, -39.9, 
##     -44.1, -59.4, -64.9, -66.2, -67.4, -67.5, -67.6, -67.3, -66.6, 
##     -65.6, -61.7, -58.3, -56.4, -54.5, -52.2, -47.9, -46.1, -40.4, 
##     -39.2, -37.8, -36.7, -35.1, -33.5, -32.3, -30.9, -24, -22.8, 
##     -21.8, -21, -20.2, -18.5, -17.9, -17.6, -17.1, -16.7, -16.3, 
##     -16.1, -16, -16.1, -16.2, -16.5, -16.8, -17.2, -17.4, -17.2, 
##     -17, -16.7, -16.4, -16.1, -15.7, -15.6, -15.6, -15.4, -15.4, 
##     -15.4, -15.5, -16.7, -17.7, -18.7, -19.8, -25.1, -26.6, -39.3, 
##     -43, -46.7, -51.6, -72.1, -73.7, -74.9, -74.2, -70.6, -69.2, 
##     -66.4, -59.8, -51.3, -48.7, -42.5, -38.7, -35.2, -33.3, -31.2, 
##     -29.7, -27.9, -26.4, -23.5, -21.1, -20, -19.6, -20.2, -22, 
##     -22.3, -22.6, -22.6, -21.8, -20.9, -20.9, -20.7, -21, -21, 
##     -20.8, -20.6, -20.3, -19.6, -19.2, -19.2, -19.4, -19.6, -19.7, 
##     -19.9, -20.5, -20.8, -21, -23.8, -52.9, -56.6, -68.8, -72.5, 
##     -78.4, -80.8, -84.4, -85.6, -86.3, -86.7, -86.5, -84.3, -81.8, 
##     -78, -75.3, -72.3, -65, -60.4, -50.3, -36.9, -31.1, -27.5, 
##     -22, -20.9, -19.4, -19.5, -19.5, -19.4, -18, -17.3, -17.4, 
##     -18.5, -18.5, -18.4, -18.3, -18.1, -17.9, -17.8, -17.4, -16.9, 
##     -16.7, -16.7, -16.8, -17.4, -17.9, -18.4, -19, -19.6, -22.3, 
##     -26, -30.8, -41.2, -45.2, -48.8, -56.9, -60.8, -71.7, -89.1, 
##     -92.3, -97.1, -98.6, -99.6, -99.9, -96.7, -95.4, -94.1, -92.8, 
##     -92.1, -90.8, -90.2, -88.3, -87.1, -86.4, -85.7, -84.9, -83.9, 
##     -82.7, -70.3, -66.7, -62.2, -53.5, -50.4, -47.8, -45.1, -36.7, 
##     -21.1, -9.1, -5.89, -1.16, -1.75, -8.36, -9.69, -10.8, -11.5, 
##     -11.6, -10.7, -10.4, -10.2, -10.1, -10.3, -10.5, -11.2, -11.3, 
##     -11.2, -11.1, -11.1, -11.3, -11.7, -12.1, -12.4, -12.5, -5.35, 
##     -5.14, -4.33, -4.14, -3.98, -3.75, -3.66, -3.58, -3.37, -3.24, 
##     -3.12, -3.16, -3.41, -3.59, -4.69, -4.98, -5.33, -5.65, -6.03, 
##     -6.37, -6.75, -7.59, -8.08, -8.37, -8.64, -8.94, -9.17, -9.37, 
##     -9.83, -10.6, -10.7, -10.8, -10.8, -11.2, -11.3, -11.4, -12.1, 
##     -12.4, -12.4, -12.4, -12.4, -12.4, -11.7, -11.3, -10.2, -8.79, 
##     -4.13, -3.41, -3.53, -5.86, -7.16, -8.58, -10.1, -13.8, -18.6, 
##     -21.8, -26.6, -37.5, -91.2, -107, -119, -124, -125, -126, 
##     -127, -127, -128, -129, -129, -129, -129, -128, -127, -126, 
##     -125, -124, -122, -121, -117, -116, -98, -91.9, -78.1, -71.5, 
##     -54.6, -43.2, -37.6, -21.1, -20.4, -19.7, -19, -18.3, -17.6, 
##     -20.9, -21.8, -22.9, -25.8, -28, -30.3, -49.1, -54, -66.3, 
##     -74.4, -81.3, -93.7, -96.4, -105, -108, -110, -110, -110, 
##     -109, -107, -104, -102, -97.9, -86, -77.4, -73, -63, -58.5, 
##     -51.4, -46.3, -26.2, -23.8, -21.9, -19.1, -18.1, -17.6, -16.8, 
##     -16.8, -17, -17.2, -17.7, -18.2, -20.3, -21, -22, -23.2, 
##     -26.1, -27.6, -37.3, -37.8, -36.2, -34.7, -33.7, -32.8, -29, 
##     -25.6, -24.4, -24.2, -24.2, -24.3, -25.6, -26.4, -27.4, -30.3, 
##     -32.3, -39.5, -42.5, -50.1, -54.1, -58.9, -69.5, -78.9, -82.6, 
##     -87.3, -91.7, -93.9, -102, -103, -103, -102, -101, -101, 
##     -99.9, -99.1, -98.1, -95.6, -92.5, -90.7, -88.6, -17.9, -20.2, 
##     -21.6, -24, -25, -28.9, -34.8, -35.8, -38.1, -38.6, -39, 
##     -36.1, -31, -30.1, -28.3, -31.4, -33.1, -46.4, -51.8, -55, 
##     -59.5, -64.4, -83.8, -81.1, -71.7, -67.8, -63.1, -59.7, -53.8, 
##     -49.9, -45.5, -37.2, -33.8, -30.3, -27.7, -20.1, -16.3, -15.5, 
##     -15.7, -16.2, -16.9, -15.3, -14.2, -13.6, -12.9, -12.5, -12.3, 
##     -12.2, -12.2, -12.3, -12.4, -11.6, -10.6, -11.5, -14.8, -17.4, 
##     -19.2, -23.7, -27.4, -28.2, -28.2, -27.7, -26.8, -24.8, -23.5, 
##     -22.5, -21.7, -12.4, -12.4, -12.3, -12.3, -12.2, -12.2, -12.1, 
##     -12.1, -11.7, -11.6, -10.5, -9.52, -9.36, -8.62, -8.34, -8.02, 
##     -6.66, -6.33, -6.02, -5.64, 34.3, 34.5, 35.6, 37.2, 38.8, 
##     41.3, 50.3, 70.5, 107, 159, 172, -177, -174, -172, -171, 
##     -171, -172, -171, -171, -171, -171, 174, 143, 121, 85.5, 
##     75.7, 68.2, 64.4, 63.2, 63, 62.5, 62.1, 58.9, 59.1, 149, 
##     126, 121, 102, 99.4, 96.6, 94.9, 90.7, 89.2, 88.6, 87.8, 
##     86.9, 85.9, 83.8, 83.1, 81.9, 81.6, 81.8, 82.2, 83.7, 85.7, 
##     89.3, 90.9, 92.9, 94.9, 103, 106, 109, 122, 124, 127, 130, 
##     135, 142, 142, 141, 140, 138, 138, 137, 136, 133, 132, 130, 
##     125, 119, 117, 110, 109, 110, 111, 111, 113, 113, 112, 108, 
##     106, 103, 103, 102, 102, 102, 103, 103, 104, 104, 104, 104, 
##     104, 104, 104, 104, 104, 104, 104, 104, 108, 109, 110, 111, 
##     113, 116, 118, 119, 120, 120, 121, 121, 122, 124, 124, 124, 
##     124, 123, 123, 122, 122, 122, 122, 124, 126, 112, 113, 115, 
##     116, 117, 120, 122, 123, 123, 123, 123, 127, 131, 133, 135, 
##     137, 139, 140, 138, 135, 134, 133, 98.8, 98.8, 98.8, 98.6, 
##     98.8, 99.4, 100, 101, 106, 108, 112, 116, 118, 119, 120, 
##     121, 130, 133, 137, 139, 142, 143, 143, 143, 141, 140, 139, 
##     138, 137, 120, 115, 106, 95.6, 92.7, 86.9, 84.7, 78.2, 77.8, 
##     79.1, 85.2, 86.9, 88.8, 92.2, 94.8, 95.6, 96.5, 121, 111, 
##     95.8, 78.7, 58.3, 54.7, 51.5, 48.3, 45.5, 40.3, 33.7, 27.8, 
##     27.2, 26.4, 22.1, 19.5, 18.9, 18.1, 16.7, 15.1, 14.2, 11.7, 
##     10.9, 10.3, 9.39, 9.07, 8.92, 8.87, 8.87, 8.72, 7.7, 7.6, 
##     7.63, 7.81, 7.75, 7.38, 7.08, 6.33, 5.47, 5.08, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, -43.9, -43.8, -43.7, -43.5, -45.8, 
##     -48.9, -49.3, -50.2, -51.1, -51.5, -52.1, -52.2, -50.9, -50.1, 
##     -48.9, -47.7, -46.3, -44, -43.8, -43.4, -42.7, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 144, 135, 120, 110, 105, 93.1, 83.8, 
##     79.2, 71.8, 68.3, 61.2, 56.5, 55.5, 53.2, 52.5, 52.4, 52.5, 
##     52.6, 52.6, 51.5, 51.3, 51.3, 137, 133, 120, 113, 86.8, 83.9, 
##     81.7, 71.6, 69.3, 69.2, 69.3, 69.5, 69.8, 69.9, 69.5, 67.7, 
##     67.3, 67, 66.9, 66.9, 67, 67.3, 67.7, 68.4, 89.8, 86.8, 85.5, 
##     83.3, 83.2, 83.1, 83.5, 83.9, 84.9, 85.6, 86.3, 88.1, 88.6, 
##     89.2, 89.8, 90.7, 91, 91.2, 91.3, 91.4, 91.4, 89.4, 88.7, 
##     84.8, 81.8, 81.7, 96.4, 95.9, 95.3, 93.5, 94.2, 112, 123, 
##     147, 150, 151, 153, 153, 153, 152, 151, 151, 150, 150, 150, 
##     149, 149, 148, 147, 145, 143, 141, 138, 133, 129, 126, 132, 
##     132, 131, 130, 129, 128, 122, 120, 114, 111, 108, 102, 98.5, 
##     89.9, 89.4, 89.9, 90.7, 91.7, 93.2, 98.1, 98.6, 99, 98.8, 
##     127, 127, 126, 125, 122, 120, 120, 120, 117, 115, 114, 111, 
##     108, 103, 100, 99.7, 104, 106, 107, 107, 108, 111, 59.4, 
##     59.7, 59.9, 60.3, 60.7, 62.1, 63.1, 64.4, 71.1, 74.4, 83, 
##     94.4, 102, 117, 130, 146, 150, 156, 162, 163, 164, 164, 163, 
##     164, 164, 165, 170, 145, 76.5, 65.9, 59.3, 50.8, 45.1, 43.5, 
##     41.3, 39.8, 38.4, 37, 36.3, 35.8, 35.4, 35.5, 35.9, 36.8, 
##     36.3, 34.6, 33.7, 33.4, 33.2, 33.5, 133, 142, 151, 152, 155, 
##     158, 159, 158, 156, 155, 152, 151, 137, 119, 110, 106, 102, 
##     93.7, 90.8, 86.8, 85.3, 82.4, 81.9, 81.6, 89.3, 88.1, 87, 
##     84.9, 84.1, 82.8, 82.6, 82.4, 82.1, 81.2, 79.7, 79.4, 79.2, 
##     79.6, 79.9, 80.2, 80.3, 80.3, 80.9, 83.4, 84.7, 88.9, 91.7, 
##     94.1, 97, 100, 121, 109, 143, 148, 151, 159, 161, 162, 160, 
##     159, 159, 159, 159, 159, 158, 155, 153, 146, 138, 129, 118, 
##     109, 102, 93.1, 89.9, 86.4, 78.9, 75.9, 73.3, 70.4, 66.2, 
##     64.1, 59.3, 58.6, 58.3, 58.4, 58.8, 60.1, 61.7, 62.4, 63.1, 
##     63.7, 65.2, 66.1, 66.8, 66.9, 66.9, 67, 67.1, 67.2, 67.4, 
##     -44.9, -45, -41.5, -41.3, -41, -41, -41.1, -43.1, -50.6, 
##     -52.6, -54.4, -55.9, -79, -81.2, -83.2, -85.2, -89.3, -91.1, 
##     -92.7, -97.4, -99.1, -99.4, -99.6, -99.6, -98.6, -97.6), 
##     pitch_arm = c(22.5, 22.5, 22.5, 22.1, 22.1, 22, 21.9, 21.8, 
##     21.7, 21.6, 21.5, 21.5, 21.4, 21.4, 21.4, 21.3, 21.3, 21.2, 
##     21.2, 21.1, 20.9, 20.8, 20.7, 20.7, 20.7, 20.7, 20.7, 20.7, 
##     20.7, 20.7, 20.7, 20.6, 20.5, 20.5, 20.5, 20.3, 20.3, 20.2, 
##     20.2, 20.1, 20.1, 20, 19.9, 19.9, 19.7, 19.7, 19.7, 19.6, 
##     19.6, 19.5, 19.4, 19.4, 19.4, 19.3, 19.2, 19.2, 19.1, 19, 
##     19, 19, 18.9, 18.9, 18.8, 18.8, 18.8, 18.6, 18.6, 18.6, 18.5, 
##     18.5, 18.4, 18.4, 18.2, 18.2, 18.1, 18.1, 18.1, 18, 17.9, 
##     17.9, 17.9, 17.8, 17.8, 17.8, 17.7, 17.7, 17.7, 17.7, 17.6, 
##     17.6, 17.6, 17.5, 17.5, 17.4, 17.4, 17.3, 17.2, 17.1, 17.1, 
##     17.1, 17.1, 17.1, 17.1, 17, 17, 17, 17, 16.9, 16.9, 16.9, 
##     16.9, 16.9, 16.7, 16.6, 16.6, 16.5, 16.5, 16.4, 16.4, 16.4, 
##     16.3, 16.2, 16.2, 16.1, 16, 15.9, 15.9, 15.9, 15.8, 15.6, 
##     15.5, 15.5, 15.4, 15.3, 15.3, 15.3, 15.3, 15.2, 15.1, 15.1, 
##     15, 14.8, 14.7, 14.6, 14.5, 14.5, 14.5, 14.3, 14.3, 14.2, 
##     14.2, 14.1, 14.1, 14, 13.9, 13.9, 13.9, 13.8, 13.8, 13.8, 
##     13.8, 13.8, 13.8, 13.8, 13.8, -9.76, -9.75, -9.79, -9.76, 
##     -9.74, -9.67, -9.44, -9.4, -9.37, -9.28, -9.28, -9.25, -9.24, 
##     -9.23, -9.23, -9.22, -9.22, -9.22, -9.19, -9.16, -9.13, -9.1, 
##     -8.79, -8.75, -8.7, -8.65, -8.63, -8.55, -8.48, -8.42, -8.26, 
##     -8.05, -7.93, -7.68, -7.59, -7.39, -7.15, -7.08, -7.03, -7.01, 
##     -7, -7.03, -7.04, 15.9, 15.4, 14.6, 13.9, 13.2, 11.8, 11.2, 
##     10.6, 9.48, 8.45, 7.5, 6.64, 6.23, 5.39, 4.63, 3.85, 2.88, 
##     2.34, 1.75, 1.22, 0.71, -0.99, -1.59, -1.83, -2.35, -2.49, 
##     -2.62, -2.78, -2.95, -3.13, -3.57, -3.77, -3.96, -4.02, -4.08, 
##     -4.16, -4.25, -4.37, -4.44, -4.54, -4.58, -4.62, -4.67, -4.72, 
##     -4.83, -5.09, -5.2, -5.35, -5.58, -5.77, -5.89, -6.19, -6.25, 
##     -6.3, -6.4, -6.62, -6.8, -7, -7.46, -8.1, -8.46, -10.3, -10.8, 
##     -12.1, -12.8, -14.6, -16.7, -17.9, -19.2, -20.4, -22, -23.4, 
##     -24.9, -29.7, -31.7, -35.7, -39.7, -44.3, -46.5, -49.2, -54.4, 
##     -56.8, -59.6, -62.2, -64.7, -67.2, -76.6, -77.2, -77.2, -70.5, 
##     -67.4, -62.2, -58.1, -48.1, -40.4, -38, -32.9, -33.3, -35.4, 
##     -37, -40.5, -46.7, -49.1, -53.7, -64, -69, -71.5, -76.6, 
##     -79, -81.5, -84.2, -80, -77.4, -74.3, -54.4, -47.5, -38.5, 
##     -31.5, -27.9, -26, -25.5, -24.4, -24.2, -24.9, -25.4, -26.1, 
##     -26.9, -27.8, -28.8, -31.3, -36.7, -38.9, -48.2, -50.9, -65.2, 
##     -66.8, -68.3, -69.9, -69.9, -68.2, -66.5, -62.3, -59.8, -57.3, 
##     -38.8, -35.6, -32.6, -24.1, -21.6, -19.4, -17.6, -16.6, -16.7, 
##     -21.5, -23, -25.8, -27.4, -28.6, -29.9, -31.1, -32.5, -35, 
##     -36.2, -37.4, -39.9, -41.1, -47.8, -50.3, -51.2, -51.6, -48.9, 
##     -38.5, -36.9, -32.3, -29.1, -23.5, -17.7, -13.9, -12.1, -8.33, 
##     -6.28, -4.39, 0.24, 1.41, 2.55, 2.56, 1.75, 1.06, -1.5, -2.38, 
##     -7.18, -9.46, -12.7, -13.9, -14.9, -16, -17, -18.1, -19.1, 
##     -22, -26.8, -27.1, -27.4, -28.6, -29.2, -29.3, -29.2, -28.8, 
##     -28.5, -28.2, -27.9, -27.4, -27.2, -27.1, -26.9, -26.8, -26.6, 
##     -26.4, -26.3, -26.3, -26.3, -26.3, -26.3, -26.3, -26.4, -26.3, 
##     -26.1, -25.9, -25.1, -24.7, -24.4, -24.1, -23.8, -23.4, -19.3, 
##     -18.1, -16.8, -15.4, -10.9, -9.49, -7.95, -5, -3.56, -0.46, 
##     1.33, 4.71, 6.18, 9.14, 12.2, 13.6, 14.8, 16.2, 17.4, 18.6, 
##     20.4, 20.9, 21.1, 19.4, 16.8, 10.3, 9.29, 8.17, 7.18, 4.34, 
##     2.67, 2, -0.44, -2.52, -3.37, -4.7, -6.21, -6.86, -8.24, 
##     -11.2, -11.9, -13.2, -13.4, -13.5, -13.5, -13.3, -13.1, -13, 
##     -12.1, -11.7, -11.3, -10.8, -9.58, -8.73, -5.53, -4.14, -1.28, 
##     1.49, 2.98, 5.67, 8.5, 10.1, 11.6, 13.3, 30, 28.8, 26.3, 
##     24.8, 23.5, 22.1, 20.7, 19.2, 15.3, 12.7, 11.3, 7.78, 6.73, 
##     2.94, 3.46, 4.02, 4.68, 7.4, 9.95, 11.5, 13.4, 15.4, 17.5, 
##     19.6, 28.8, 33.3, 35.7, 40.1, 42.4, 50, 51.3, 52.3, 53.5, 
##     51.3, 42.8, 41.2, 39.7, 38.6, 39.5, 42.6, 44.6, 46.5, 48.7, 
##     50.7, 52.9, 55.1, 61, 62.6, 64.3, 65.4, 66.3, 66.6, 65.1, 
##     60.9, 59, 46.7, 44.4, 40.2, 34, 26.2, 24.8, 23.3, 22, 21.3, 
##     20.7, 20.4, 20.9, 22.5, 23.5, 24.9, 26.2, 28, 31.8, 33.9, 
##     38.7, 44.4, 73, 76.1, 81.4, 78.3, 75.4, 69.3, 59.2, 49.4, 
##     44, 41.2, 35.3, 36.7, 38.5, 45.7, 48.3, 54.3, 34.6, 36.6, 
##     37.9, 40.9, 51.4, 54.1, 63.1, 64.8, 66.2, 66.9, 67, 64.1, 
##     60.1, 57.7, 50.3, 47.4, 42, 39.3, 33.2, 30.3, 27.6, 21.8, 
##     19.3, 17.4, 14.1, 14.1, 15.4, 16.6, 19.3, 36.1, 35.3, 35, 
##     34.3, 34.1, 33.9, 34.5, 34.8, 35.1, 35.3, 35.3, 35.1, 34.1, 
##     32.2, 30.1, 24, 20.7, 17.2, 15.5, 5.73, 3.58, -11.6, -9.69, 
##     -8.81, -7.83, -6.67, -5.52, -3.22, -1.99, 3.09, -2.05, -6.9, 
##     -8.46, -10.3, -11.9, -15.2, -21.3, -22.6, -23.8, -25, -28.5, 
##     -29.5, -30.2, -30.5, -30.7, -31.2, -31.5, -32.1, -32.3, -32.4, 
##     -32.3, -28.5, -26.6, -23.3, -19.4, -18.5, -17.6, -15.5, -14.7, 
##     -13.6, -11.3, -8.77, -5.84, -4.43, -3.16, -0.58, 74.4, 74.8, 
##     75.8, 76.1, 76.4, 76.5, 76.8, 77, 78.2, 80.5, 83.8, 85.4, 
##     87.1, 88.5, 88.2, 86.6, 83.5, 80.6, 79.3, 78.1, 75.9, 74.8, 
##     73.7, 69.8, 67.9, 66.9, 65.9, 65, 64.2, 62.7, 62, 61.5, 61, 
##     60.5, 59.2, 58.5, 58.2, 57.5, 56.9, 56.3, 55.9, 55.1, 54.6, 
##     50.3, 47.5, 46.1, 45.6, 40.9, 40.2, 38.5, 38, 37.5, 37.1, 
##     36.6, 36.2, 35.7, 35.2, 34.7, 34.2, 32.7, 31.7, 30.7, 30.1, 
##     28.9, 28.4, 27.7, 25.1, 24.4, 23.7, 21.5, 20.5, 19.9, 18.8, 
##     18.3, 16.6, 15.9, 15.6, 15.3, 15, 14.6, 13.7, 13.5, 12.3, 
##     12, 11.8, 11.1, 10.7, 9.57, 9.25, 8.92, 8.19, 7.89, 7.52, 
##     7.2, 5.99, 5.79, 5.64, 5.48, 5.01, 4.85, 4.76, 4.75, 4.8, 
##     4.89, 4.93, 5.24, 5.34, 5.66, 5.79, 5.91, 6.82, 7.08, 7.63, 
##     8.23, 8.83, 9.41, 10.1, 10.4, 11.1, 11.9, 12.6, 13.3, 13.7, 
##     19, 19.9, 20.4, 20.9, 21.4, 21.9, 25.5, 26.5, 29.2, 29.8, 
##     31, 32.1, 34.3, 34.9, 36.1, 37.4, 37.9, 39.2, 41, 41.7, 42.4, 
##     42.9, 43.6, 45.5, 46.8, 49.3, 50.6, 51.3, 51.8, 53.1, 53.8, 
##     55, 56.3, 58.6, 59.7, 60.2, 63.5, 64.7, 66, 68.5, 69, 70.2, 
##     70.9, 71.4, 71.9, 72.5, 72.9, 73, 73.1, 73.2, 73.1, 73.1, 
##     73.1, 73.1, 73, 72.7, 72.1, 71.7, 71.4, 71.1, 70.8, 69.9, 
##     69.4, 69, 67.8, 67.3, 66.7, 66.2, 65.6, 63.4, 62.8, 58.8, 
##     57.8, 57.2, 55.6, 55.1, 54.5, 52.2, 51.1, 50.1, 49.6, 49.2, 
##     48.3, 47.3, 46.4, -23.6, -23.5, -23.5, -23.5, -23.4, -23.3, 
##     -22.5, -21.9, -21.5, -21.1, -20.6, -19.5, -18.1, -17.5, -16.7, 
##     -15.2, -14.4, -13.5, -10.2, -6.86, -5.82, -2.73, -2.63, -5.39, 
##     45.1, 44, 43.2, 42.5, 42.2, 41.2, 40, 37.9, 37.3, 36.6, 35.3, 
##     34, 32.8, 32.2, 31.6, 31, 29.8, 28.1, 27, 25.5, 23.7, 23.2, 
##     22.7, 21.1, 20.6, 20.1, 19.6, 19.2, 18.2, 17.3, 16.5, 15.7, 
##     15, 14.2, 13.9, 13.6, 12.2, 10.3, 9.48, 8.69, 7.7, 6.38, 
##     5.91, 5.66, 66.9, 66.9, 66.9, 66.9, 67, 67, 67, 66.9, 67.2, 
##     67.4, 67.7, 68.3, 68.7, 69.9, 70.4, 70.8, 71.8, 72.2, 5.4, 
##     5.11, 4.84, 4.58, 3.98, 3.82, 3.52, 3.39, 3.27, 3.03, 2.92, 
##     2.84, 2.76, 2.59, 2.54, 2.54, 2.59, 2.71, 2.76, 2.83, 3.1, 
##     3.21, 3.35, 3.46, 3.82, 3.91, 4.17, 4.33, 4.74, 4.96, 5.17, 
##     5.62, 6.32, 6.56, 7.09, 7.35, 7.6, 8.38, 9.23, 9.54, 9.86, 
##     10.2, 10.6, 12.3, 13.1, 18.1, 18.5, 19, 20.4, 20.9, 21.4, 
##     21.9, 22.4, 23, 23.6, 24.8, 25.5, 26.7, 27.3, 28.5, 29.6, 
##     30.7, 31.3, 32.9, 34, 35.1, 36.8, 37.4, 39.7, 42, 42.6, 43.7, 
##     44.9, 49.5, 50, 51.1, 53.7, 54.4, 57.6, 58.5, 59.7, 61.7, 
##     63.5, 65, 65.6, 66.3, 67.1, 67.9, 68.7, 69.8, 70.2, 70.6, 
##     70.9, 71.2, 72.6, 72.9, 74.3, 74.5, 74.7, 74.9, 75.1, 75.2, 
##     75.3, 75.3, 75.1, 74.8, 74.6, 74.3, 74, 73.8, 73, 72.2, 71.2, 
##     70.3, 69.8, 69.3, 66.8, 66.3, 65.7, 65.3, 64.9, 64.5, 63.4, 
##     62.9, 62.3, 61, 60.3, 59, 58.4, 57.8, 56.7, 54.3, 53.8, 53.2, 
##     52.7, 52.1, 48.7, 48.4, 45.4, 45, 44.3, 43.8, 43.3, 42.5, 
##     42, 40.4, 39.5, 37.6, 36, 27.9, 24.7, 23.4, 23, 22.7, 23.1, 
##     31.4, 32.4, 33.4, 35, 35.6, 36.8, 39.2, 39.7, 41.8, 42.4, 
##     43.1, 48.1, 48.7, 49.4, 50.7, 52.6, 54.7, 55.3, 55.9, 57.8, 
##     58.5, 59.1, 61.1, 63.2, 64.6, 65.3, 68.2, 69.7, 70.5, 71.4, 
##     74.6, 75.3, 78.2, 79.7, 80.9, 81.5, 83.2, 84.1, 85.8, 86.2, 
##     86.4, 86.2, 86, 84.6, 83.7, 82.1, 81.4, 81.1, 80, 79.1, 78.6, 
##     78.1, 76.2, 75.5, 71.9, 71.2, 70.4, 69.5, 68.7, 66.1, 22.6, 
##     19.7, 17, 11.4, 8.55, 2.23, -0.85, -7.39, -10.2, -15.8, -19, 
##     -21.8, -23.9, -25.6, -29.8, -31, -32, -32.8, -33.6, -34.2, 
##     -34.7, -35, -35, -34.2, -33.7, -33, -29, -26.1, -22.5, -7.6, 
##     -5.72, -1.41, 0.83, 3.06, 12.4, 16.7, 22.1, 27.2, 29.9, 34.9, 
##     37.7, 40.2, 42.7, 49.6, 51.9, 53.9, 56, 66.3, 68.1, 69.8, 
##     73.3, 76.5, 79.8, 81.9, 82.6, 82.8, 82.4, 80.7, 79.2, 78.6, 
##     78.1, 77.5, 76.4, 75.2, 74, 73.4, 72.8, 72.1, 71, 69.9, 69.3, 
##     66.6, 66.5, 66.4, -31.7, -31.6, -31.1, -30.1, -29.5, -26.4, 
##     -24.1, -18.5, -15.5, -14.2, -10.8, -9.44, -6.8, -3.33, 0.13, 
##     2.86, 7.19, 9.5, 14.8, 17.2, 19.4, 22.2, 24.6, 27.2, 32, 
##     46, 50.1, 62.4, 64.2, 67.9, 69.7, 71.2, 74.1, 75.6, 76.9, 
##     80.7, 85.5, 85.4, 85.1, 84.7, 82.7, 79.8, 79, 78.4, 76.9, 
##     76.2, 75.5, 74.2, 73, 72, 71.6, 71.2, 69.7, 62, 59.9, 57.6, 
##     55, 52.2, 49.6, 41.2, 30.1, 23.5, 20.4, 14.1, 7.51, -2.08, 
##     -8.13, -22.2, -23.6, -26, -27, -27.6, -29.8, -29.9, -30.1, 
##     -30.2, -30.6, -30.6, -30.7, -30.9, -31, -31.1, -31.2, -31.1, 
##     -30.9, -30.7, -29.9, -26, -25, -22.4, -17.6, -16.3, -14.8, 
##     -11.7, -10.3, -5.81, -2.41, 1.59, 9.24, 12.1, 15.2, 18, 21, 
##     24.1, 33.2, 36.4, 42.1, 53.2, 62.2, 64.4, 66.3, 68.2, 70.2, 
##     73.6, 75.1, 78, 82.4, 83.4, 83.2, 82.4, 81.9, 80.8, 79.4, 
##     78.9, 78.4, 77.3, 76.2, 75.6, 74.3, 73.6, 72.3, 71.1, 69.7, 
##     69.4, 69.2, 69.4, 71.8, 72.3, 72.6, 72.6, 72.2, 68.2, 60.7, 
##     57.4, 54.3, 40.9, 26.4, 22.8, 11.8, 4.84, 1.5, -1.32, -7.13, 
##     -12.3, -16.3, -18.3, -19.4, -21.3, -22.1, -22.7, -23.6, -23.6, 
##     -23.3, -23.1, -22.7, -20.2, -18.8, -18, -16.1, -15.2, -14.4, 
##     -12.8, -11.2, -10.6, -7.51, -3.19, -1.07, 0.87, 2.91, 5.5, 
##     10.1, 12.4, 17.5, 30.8, 33.4, 36.2, 41, 45.5, 47.5, 51.3, 
##     54.7, 57.9, 62.6, 66.8, 69.4, 70.6, 72.2, 73, 73.2, 73.3, 
##     72.7, 71.1, 70.5, 70.2, 69.8, 69.3, 68.5, 68.2, 66.6, 64.6, 
##     55.9, 54, 52.1, 47.5, 44.8, 32.9, 29.9, 26.6, 23.7, 17.7, 
##     1.32, -20.7, 4.43, 7.55, 16.1, 21.3, 34.2, 35.8, 41.5, 46.5, 
##     48.3, 53.3, 57.4, 62.8, 63.9, 64.8, 65.7, 67.2, 68.3, 68.9, 
##     71.4, 72.1, 73.1, 73.4, 73.7, 73.9, 74.5, 74.7, 74.3, 73.7, 
##     71.4, 65.9, 63.4, 60.8, 57.6, 51.5, 48.1, 44.7, 37.5, 33.7, 
##     26.6, 16.6, 13.8, 8.45, -6.09, -11.1, -13.8, -21.8, -24.6, 
##     -27.1, -29.6, -31.9, -36.8, -46.6, -47.5, -49, -50, -50.3, 
##     -50.7, -50.8, -50.8, -50.7, -50.5, -50.2, -49.7, -48.9, -48.4, 
##     -48.1, -47.1, -45.3, -29.5, -27.1, -22.1, -19.4, -16, -13.2, 
##     -9.79, -6.77, 2.7, 5.57, 11.9, 14.8, 17.8, 20.6, 30.9, 33.2, 
##     35.7, 37.8, 40, 41.9, -34.6, -36.2, -39.2, -43.3, -43.3, 
##     -43.6, -43.6, -43.6, -43.4, -43.2, -43.1, -42.9, -42.6, -42.4, 
##     -41.5, -41.1, -40.7, -40.3, -39.8, -39.2, -38.7, -38, -36.5, 
##     -35.4, -34.3, -33.1, -31.8, -30.4, -28, -26.2, -24.6, -22.6, 
##     -21.5, -19.4, 39.9, 40.5, 40.8, 40.5, 39.5, 39.5, 39.7, 40.4, 
##     40.6, 41.6, 42.1, 42.3, 42.4, 42.5, 42.6, 42.6, 42.8, 42.8, 
##     42.8, 42.9, 42.9, 43, 43.2, 43.3, 43.3, 43.4, 43.4, 43.4, 
##     43.4, 43.3, 43.3, 43.2, 43.2, 43.2, 43.1, 43.1, 43.1, 43.1, 
##     43.1, 43.1, 43, 43, 43, 43, 43, 43, 43, 43, 43.2, 43.2, 43.2, 
##     43.2, 43.2, 43.2, 43.2, 43.3, 43.3, 43.5, 43.7, 43.7, 43.6, 
##     43.6, 43.6, 43.6, 43.6, 43.5, 43.5, 43.5, 43.5, 43.5, 43.6, 
##     43.6, 43.6, 43.6, 43.6, 43.6, 43.6, 43.5, 43.5, 43.5, 43.5, 
##     43.5, 43.5, 43.5, 43.5, 43.4, 43.4, 43.4, 43.3, 43.3, 43.3, 
##     43.3, 43.3, 43.3, 43.3, 43.3, 43.3, 43.3, 43.3, 43.3, 43.2, 
##     43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 
##     43.3, 43.3, 43.3, 43.3, 43.3, 43.3, 43.3, 43.2, 43.2, 43.1, 
##     43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 43.2, 43.3, 
##     43.3, 43.3, 43.3, 43.4, 43.4, 43.4, 43.4, 43.4, 43.3, 43.3, 
##     43.3, 43.3, 43.3, 43.3, 43.3, 43.6, 44.2, 44.4, 44.6, 44.7, 
##     44.7, 44.6, 44.4, 44.3, 44.2, 44.2, 44.2, 44.2, 44.2, 44.2, 
##     44.3, 44.4, 44.5, 44.5, 44.5, 44.5, 44.6, 44.6, 44.6, 44.6, 
##     44.6, 44.7, 44.8, 45, 45, 45, 44.7, 43.9, 41.8, 35.2, 30.9, 
##     25.8, 22.8, 20, 9.9, 6.69, 3.32, 0.12, -3.26, -9.93, -13.4, 
##     -16.5, -22.8, -26.2, -29.5, -32.9, -36.1, -39.4, -45.2, -49.5, 
##     -52, -54.3, -55.2, -51.3, 26.8, 29.2, 29.4, 29.7, 29.7, 29.7, 
##     29.6, 29.7, 30.1, 30.3, 30.6, 30.7, 30.6, 30.5, 30.3, 29.1, 
##     28.5, 27.8, 24.6, 21.7, 19.9, 18.1, 13.7, 11.1, 8.52, 5.6, 
##     -6.3, -12.6, -15.7, -22.5, -28.9, -34.1, -36.9, -42.4, -50.1, 
##     -51.9, -54.1, -53.4, -52.2, -50.9, -49.5, -45.8, -45.2, -46.7, 
##     -48.3, -49.8, -50.4, -51.8, -52, -51.6, -51, -50.3, -48.2, 
##     -46.8, -44, -42.7, -40.8, 23.5, 23.6, 23.6, 23.6, 23.6, 23.6, 
##     23.4, 22.9, 22.4, 22, 21.4, 20, 16.8, 15.4, 10.6, 3.14, -1.21, 
##     -6.37, -11.8, -14.5, -29.5, -36.9, -42.6, -47.1, -47.7, -47.9, 
##     -47, -45.9, -45.4, -44.7, -43.9, -43.6, -43.9, -45.1, -45.3, 
##     -43.9, -43, -42.4, -41.6, -40.7, -36.9, -35.5, -33.3, -28.4, 
##     -19.8, -17.2, -14.5, -37, -36.6, -36.4, -38.1, -38.7, -40.9, 
##     -41.5, -41.9, -42.1, -40.6, -38.8, -37.9, -35, -33.2, -31.1, 
##     -28.9, -24.2, -19.5, -14.7, -12.4, -9.83, 4.09, 5.53, 6.93, 
##     8.15, 11.5, 12.6, 15, 15.6, 16.1, 16.8, 16.8, 16.6, 16.5, 
##     16.1, 16, 16, 15.8, 15.6, 15.2, 14.8, 12.5, 11.6, 10.3, 7.57, 
##     2.91, -2.74, -7.2, -9.39, -18.9, -21.2, -23.5, -25.7, -27.8, 
##     -29.7, -31.2, -34.1, -35.3, -36.4, -37.9, -39.1, -41.1, -42.1, 
##     -38, -34.3, -34.4, -35.1, -36.3, -38.4, -39.7, -39.7, -38.7, 
##     -37.4, -36.2, -31.1, -29.2, -27.2, -25.3, -21.5, -19.8, -9.28, 
##     -7.78, -6.22, -3.28, 2.08, 6.2, 7.09, 7.78, 8.91, 9.3, 9.56, 
##     9.73, 9.82, 9.9, 10.1, 10.5, 10.7, 10.8, 11, 11.3, 11.5, 
##     11.8, 11.6, 11.1, 10.7, 10.2, 8.25, 4, 2.52, 0.76, -1.07, 
##     -5.07, -15.4, -23.9, -28.7, -31.3, -37.2, -39, -40.7, -41.3, 
##     -41.7, -41.9, -41.1, -39.4, -36.6, -35.9, -35.1, -34.4, -33.3, 
##     -33.2, -33.3, -33.6, -34, -34.6, -35.3, 8.14, 8.74, 10.1, 
##     10.5, 10.7, 10.9, 11.9, 12.5, 12.9, 13, 13.2, 13.2, 13.3, 
##     13.4, 13.4, 13.5, 13.5, 13, 12.6, 12, 10.4, 9.41, 8.35, 5.72, 
##     4.42, 1.06, -0.67, -4.59, -8.9, -13.9, -24.7, -31.6, -34.5, 
##     -35.6, -36.6, -37.8, -39.1, -41.1, -41.9, -42.8, -33.2, -33.6, 
##     -34.2, -35, -38, -41.2, -40.4, -39.3, -36.5, -34.7, -30.7, 
##     -28.4, -26.3, -19.6, -17.2, -8.01, -5.87, -3.95, -1.92, -0.31, 
##     1.25, 4.09, 5.32, 7.84, 9.05, 10.3, 12.9, 13.5, 13.8, 14.2, 
##     13.9, 13.5, 13.2, 13.2, 13.3, 13.2, 12.8, 12.4, 12, 10.3, 
##     9.14, 6.29, 4.47, 2.78, 0.71, -3.17, -9.9, -17.4, -22.4, 
##     -33.4, -36.1, -38.6, -41.8, -42.8, -42.7, -42.3, -41.5, -37.9, 
##     -36.5, -35.2, -33.8, -35.5, -37.6, -38.6, -39.5, -40.7, -40.3, 
##     -39.8, -38.4, -37.4, -30, -25.5, -23.5, -19.2, -17, -5.58, 
##     -3.97, 2.35, 3.74, 11.6, 12.2, 14.4, 14.5, 14.5, 13.6, 3.35, 
##     1.79, -1.49, -3.51, -7.91, -10.3, -12.8, -15.4, -20.2, -24.9, 
##     -31.9, -33.2, -35.8, -38.1, -39.3, -40.1, -41, -41.6, -41.8, 
##     -41.6, -39.5, -38.2, -36.8, -33.8, -30.2, -30, -30.4, -31.2, 
##     -32.2, -34.4, -36.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     13.8, 13.8, 13.8, 13.8, 13.7, 13.7, 13.7, 13.6, 13.5, 13.4, 
##     13.3, 13.2, 13.1, 13, 12.9, 12.7, 12.7, 12.6, 12.6, 12.7, 
##     12.7, 12.8, 12.7, 12.6, 12.6, 12.5, 12.5, 12.4, 12.3, 12.3, 
##     12.3, 12.2, 12.1, 12, 12, 11.9, 11.8, 11.8, 11.7, 11.7, 11.6, 
##     11.4, 11.4, 11.3, 11.3, 11.3, 11.1, 11.1, 11.1, 11.1, 11.1, 
##     11.1, 11.1, 11.1, 11, 11, 10.9, 10.9, 10.8, 10.7, 10.6, 10.6, 
##     10.4, 10.3, 10.2, 10.2, 10.1, 10.1, 9.92, 9.88, 9.87, 9.85, 
##     9.78, 9.73, 9.71, 9.66, 9.61, 9.57, 9.51, 9.45, 9.39, 9.35, 
##     9.32, 9.22, 9.17, 9.15, 9.13, 9.11, 9.05, 9.04, 9.02, 9, 
##     8.98, 8.94, 8.87, 8.84, 8.8, 8.77, 8.74, 8.64, 8.58, 8.55, 
##     8.51, 8.4, 8.38, 8.35, 8.28, 8.24, 8.21, 8.2, 8.18, 8.14, 
##     8.13, 8.03, 7.98, 7.96, 7.87, 7.78, 7.73, 7.71, 7.68, 7.65, 
##     7.58, 7.56, 7.51, 7.4, 7.36, 7.34, 7.31, 7.29, 7.16, 7.08, 
##     6.96, 6.9, 6.8, 6.75, 6.68, 6.63, 6.58, 6.55, 6.52, 6.49, 
##     6.47, 6.37, 6.34, 6.24, 6.21, 6.13, 6.1, 6.03, 5.98, 5.9, 
##     5.87, 5.85, 5.84, 5.8, 5.67, 5.64, 5.6, 5.53, 5.45, 5.42, 
##     5.39, 5.35, 5.31, 5.13, 5.03, 5.02, 5, 4.99, 4.95, 4.91, 
##     4.87, 4.76, 4.72, 4.69, 4.62, 4.61, 4.57, 4.52, 4.49, 4.45, 
##     4.35, 4.3, 4.29, 4.28, 4.26, 4.27, 4.27, 4.28, 4.3, 4.28, 
##     4.28, 4.25, 4.18, 4.12, 4.06, 3.97, 3.93, 3.82, 3.77, 3.71, 
##     3.69, 3.68, 3.68, 3.67, 3.67, 3.67, 3.64, 3.64, 3.64, 3.63, 
##     3.63, 3.63, 3.56, 3.5, 3.45, 3.36, 3.31, 3.25, 3.19, 3.03, 
##     2.98, 2.99, 3.02, 3.04, 3.05, 3.03, 3, 2.97, 2.78, 2.33, 
##     2.32, 2.3, 2.1, 1.96, 1.88, 1.81, 1.76, 1.86, 1.91, 2.02, 
##     2.04, 1.98, 1.94, 1.89, 1.84, 1.68, 1.65, 1.63, 1.64, 1.66, 
##     1.66, 1.66, 1.66, 1.67, 1.67, 1.67, 1.66, 1.65, 1.66, 1.67, 
##     1.65, 1.64, 1.62, 1.58, 1.47, 1.41, 1.39, 1.34, 1.32, 1.31, 
##     1.27, 1.25, 1.18, 1.14, 1.11, 1.01, 0.92, 0.88, 0.84, 0.83, 
##     0.83, 0.8, 0.73, 0.75, 0.77, 0.79, 0.79, 0.76, 0.73, 0.7, 
##     0.68, 0.66, 0.63, 0.62, 0.62, 0.61, 0.6, 0.6, 0.6, 0.59, 
##     0.57, 0.54, 0.49, 0.33, 0.12, 0.12, 0.13, 0.14, 0.25, 0.39, 
##     0.72, 0.85, 0.99, 1.05, 1.11, 1.16, 1.37, 4.51, 6.11, 9.11, 
##     10.2, 14.2, 15.6, 18.7, 28.7, 30.5, 32.5, 34.3, 38.6, 43.3, 
##     50.4, 56.8, 64.4, 78.2, 86.8, 77.4, 74, 68, 61.7, 58.1, 51.4, 
##     44.3, 41, 37.3, 30.9, 28.3, 25.4, 20.9, 18.9, 13.6, 11.9, 
##     8.78, 7.35, 4.27, 3.04, 3.12, 3.71, 4.38, 6.83, 8.67, 10.6, 
##     15.4, 16.8, 21.4, 24.7, 27.6, 31, 32.5, 33.3, 34.6, 35.8, 
##     36.8, 38.2, 46.9, 48.3, 49, 59.1, 62.8, 64.7, 69, 69.3, 69.1, 
##     68.8, 68.4, 66.4, 65.6, 64.9, 64.1, 62.4, 60.9, 60.1, 55.2, 
##     54.7, 53.9, 53.7, 53.7, 53.8, 54.6, 57.3, 58.5, 61.5, 63, 
##     65.9, 67.1, 68, 68.4, 66.7, 61.6, 57, 54.7, 42.1, 38.2, 23.7, 
##     17, 13.4, 6.42, 2.36, -5.76, -9.61, -14.3, -19, -27.3, -31, 
##     -37.4, -43.2, -44.8, -46.2, -47.5, -48.4, -49, -49.2, -48, 
##     -44.9, -40.1, -38.5, -33.5, -30.6, -30, -29.3, -27.4, -26.4, 
##     -19.8, -16.2, -5.72, 7.49, 21.4, 23.6, -40.2, -44.4, -48, 
##     -56.2, -60.4, -61.2, -60.9, -60.2, -59.7, -59.6, -59.5, -58.4, 
##     -56.4, -52.1, -51.3, -47.7, -43.7, -41.2, -35.5, -32, -25.2, 
##     -18.2, -11.9, -8.98, -6.39, -0.89, 1.97, 6.76, 11.2, 13.6, 
##     26.6, 28.5, 31.3, 32.4, 33.2, 33.7, 33.4, 32.9, 32.3, 30.7, 
##     28.6, 27.4, 26, 24.5, 22.7, 20.9, 13.9, 8.9, 6.29, 3.11, 
##     -24, -25.3, -28.3, -30, -34.3, -36.7, -39.1, -41.3, -43.8, 
##     -46.5, -51.6, -57.5, -56.9, -55.2, -54.3, -53.6, -53.1, -53.1, 
##     -53.5, -54, -55, -55.5, -55.7, -55.7, -55.7, -55.6, -55.5, 
##     -55.2, -54.7, -54.2, -53.1, -48.4, -46.5, -43.9, -28.3, -22.4, 
##     -20.1, -15.3, -13, -10.7, -8.75, -6.83, -4.87, -2.99, 6.37, 
##     8.2, 9.73, 11.4, 12.9, 14.6, 17.9, 25.4, 26, 25.1, 24.4, 
##     20.8, 17.3, 10.6, 4.99, 1.83, -1.33, -4.4, -7.91, -11, -20.7, 
##     -23.7, -26.2, -30, -32.6, -39.8, -41.6, -45.8, -54.5, -55.2, 
##     -54.7, -53.9, -52.9, -52.1, -51.3, -50.5, -51.6, -53.2, -54.7, 
##     -54.7, -54.3, -49.6, -42.3, -38.9, -35.2, -27.7, -23.9, -20.4, 
##     -17.8, -12.5, -10.2, -7.8, -3.16, 1.2, 3.28, 7.39, 9.64, 
##     13.5, 15, 16.6, 18, 19.3, 23.5, 24, 25.1, 25.1, 25.1, 24.6, 
##     24.1, 23.3, 21.1, 16.1, 11.9, 6.85, 4.28, -1.48, -10.1, -24.1, 
##     -26.4, -27.7, -33.4, -35, -36.9, -40.7, -42.3, -45.8, -51.5, 
##     -52.5, -53.5, -52.3, -51.4, -50.5, -49.6, -50.8, -51.5, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.66, 4.3, 5.92, 45.1, 45, 
##     45, 45, 45, 45, 44.8, 44.7, 44.6, 44.5, 44.4, 44.4, 44.4, 
##     44.5, 44.5, 44.5, 44.5, 44.4, 44.4, 44.1, 43.9, 43.8, 43.8, 
##     43.6, 43.2, 42.8, 42.6, 41, 40.3, 39.9, 39.8, 41.2, 42.8, 
##     44.4, 45.8, 46, 46.1, 46.1, 45.9, 44.5, 42.4, 40.3, 39.6, 
##     38.9, 38.5, 38.2, 37.9, 37.8, 37.9, 38.1, 38.9, 73.3, 71.4, 
##     69.1, 56.2, 46.8, 43.7, 26, 23.4, 15.6, 13, 7.44, -1.12, 
##     -7.29, -25.5, -30.5, 46.1, 48.4, 50.3, 52.2, 54.2, 63, 66.6, 
##     67.8, 68.9, 71.1, 73.7, 75.4, 76.2, 77, 79, 79.5, 80.7, 81, 
##     81.1, 80.8, 79.2, 78.1, 75.2, -10.1, -16.1, -32, -38.6, -39.9, 
##     -41, -42.9, -44.1, -44.7, -44.9, -45, -45, -45.3, -44.6, 
##     -44, -43.2, -41.9, -39.5, -37.2, -29.2, 61.9, 58.1, 55.5, 
##     49.9, 43.4, 40.2, 33.5, 27.1, 13.9, 10.8, 7.27, -2.45, -5.57, 
##     -11.6, -16.8, -25.6, -26.8, -28.9, -29.7, -30.5, -31.7, 62.6, 
##     62.1, 61.8, 61.2, 61, 60.6, 60.2, 60, 59.7, 59.3, 58.5, 58.1, 
##     57.4, 57, 54.9, 54.3, 51.5, 47.2, 45, 42.8, 31.5, 13.9, 14.3, 
##     15.7, 18, 19.4, 19.9, 20.3, 22.5, 22.8, 23, 23.6, 23.8, 24.3, 
##     26.4, 26.9, 27.7, 28.4, 28.8, 30.5, 17.7, 17.5, 16.3, 16.2, 
##     16.1, 16, 15.8, 15.3, 14.9, 14.7, 14.2, 14, 13.8, 13.5, 13.4, 
##     13.2, 13, 12.7, 12.6, 12.6, 12.6, 12.8, 13, 13, 13.1, 13.4, 
##     13.5, 23.8, 24.5, 24.9, 25.1, 25, 24.9, 24.5, 23.8, 22.9, 
##     22.1, 20, 18.8, -27.4, -27.7, -27.9, -28, -28.1, -28.2, -28.3, 
##     -28.4, -28.6, -28.8, -28.9, -29.3, -29.4, -29.8, -29.9, -29.9, 
##     -29.9, -30, -30.1, -30.5, -30.7, -31, -31.4, -31.8, -32.2, 
##     -34.8, -35.9, -36, -36, -35.7, -40.4, -41, -41.1, -41.1, 
##     -41, -40.8, -41.2, -41.6, -41.9, -42.1, -42.8, -42.9, -43, 
##     -43.6, -43.7, -43.8, -44.1, -45.3, -46, -46.3, -46.6, -46.7, 
##     -47.2, -48.7, -48.8, -48.9, -49.1, -49.5, -49.7, -49.9, -50, 
##     -50.3, -50.4, -50.5, -50.6, -50.7, -51.1, -51.6, -51.9, -52.4, 
##     -52.5, -52.8, -53, -53.1, -53.3, -53.4, -53.5, -54.1, -54.7, 
##     -54.9, -55, -55.1, -56.1, -56.4, -56.8, -56.9, -57.6, -57.8, 
##     -58, -58.6, -58.7, -59.5, -59.7, -59.9, -60, -60.1, -60.2, 
##     -60.3, -60.4, -60.5, -60.7, -60.7, -61.1, -61.2, -61.3, -61.5, 
##     -61.6, -62, -62.1, -62.2, -62.4, -62.5, -62.6, -62.8, -63, 
##     -63.1, -63.5, -63.8, -64.1, -64.3, -64.5, -64.6, -64.8, -65.4, 
##     -65.8, -65.9, -66.6, -66.7, -66.8, -66.9, -66.9, -67.1, -67.2, 
##     -67.2, -67.4, -67.5, -67.7, -67.8, -67.9, -68.4, -68.5, -68.6, 
##     -69.1, -69.2, -69.5, -69.8, -69.8, -69.9, -70.1, -70.3, -70.4, 
##     -70.6, -70.9, -71, -71.2, -71.3, -71.3, -71.3, -71.3, -71.2, 
##     -71.2, -71.2, -71.2, -71.1, -70.9, -70.9, -70.8, -70.8, -70.9, 
##     -71.8, -71.8, -71.8, -71.7, -71.7, -73.1, -73.2, -73.2, -73.1, 
##     -73.2, -73.1, -73.2, -73.3, -73.3, -73.4, -73.4, -73.3, -73.3, 
##     -73.2, -73.1, -73.1, -73.1, -73, -73, -72.9, -72.9, -72.7, 
##     -72.7, -72.5, -72.5, -72.3, -72.2, -72.1, -72.1, -72.1, -72.1, 
##     -72, -72, -72, -72, -72, -71.9, -71.8, -71.7, -71.6, -71.5, 
##     -71.1, -70.5, -69.7, -69.6, -69.4, -69.2, -68.8, -68.7, -68.5, 
##     -68, -67.2, -67, -66.6, -66.6, -66.6, -66.6, -66.6, -66.6, 
##     -66.6, -66.4, -66.3, -66, -65.8, -65.6, -65.6, -65.4, -65.4, 
##     -65.3, -65.3, -65, -64.9, -64.8, -64.7, -64.5, -64.4, -64.3, 
##     -64.1, -64, -63.9, -63.7, -63.6, -63.3, -63, -62.9, -62.8, 
##     -62.5, -62.1, -62, -61.9, -61.9, -61.7, -61.5, -61.6, -47.2, 
##     -45.2, -44.2, -43.1, -42.2, -39.8, -39.5, -39.3, -39.2, -39.2, 
##     -40.2, -41, -41.3, -41.5, -41.6, -41.7, -42.2, -43.3, -43.7, 
##     -44.5, -44.7, -44.9, -45.3, -45.4, -44.1, -44.1, -44, -44, 
##     -44, -44, -44.1, -44.1, -44.1, -44.1, -44.1, -44.1, -44.1, 
##     -44, -43.9, -43.7, -43.4, -42.2, -41.8, -41.4, -41, -40.3, 
##     -40, -39.8, -39.6, -39.3, -39.1, -38.9, -38.9, -38.8, -38.8, 
##     -38.7, -38.9, -39, -39.2, -39.4, -39.7, -40.3, -40.9, -41.2, 
##     -41.9, -42.2, -42.8, -43.3, -43.5, -43.7, -43.8, -43.9, -43.9, 
##     -43.7, -43.4, -43.1, -43.2, -43, -42.9, -42.7, -42.6, -42.5, 
##     -42.5, -42.4, -42.1, -42, -41.9, -41.7, -41.7, -41.6, -41.5, 
##     -41.3, -41.1, -40.8, -40.8, -40.9, -40.6, -40.2, -39.6, -38.6, 
##     -38.1, -37.6, -37.2, -33.7, -33.3, -33.1, -32.7, -31.7, -30.1, 
##     -29.5, -29, -28.3, -28.1, -27.8, -27.4, -27.4, -27.4, -27.5, 
##     -27.6, -28.2, -28.3, -28.4, -28.1, -28, -27.8, -26.4, -26.2, 
##     -26, -25.6, -25.4, -25.3, -25.2, -25.2, -25.1, -24.9, -24.8, 
##     -24.5, -24.4, -24.2, -24.2, -24, -23.8, -23.8, -23.8, -6.74, 
##     -9, -9.67, -10.6, -10.5, -10.4, -10.2, -10.1, -11.1, -11.5, 
##     -11.6, -11.9, -12.2, -12.5, -13.1, -13.9, -17.3, -20.9, -19.8, 
##     -17.4, -15.7, -14.2, -12.1, -11, -8.65, -6.31, -2.9, -1.91, 
##     1.62, 2.5, 3.34, 6.19, 7.08, 9.38, 10.5, 11.3, 11.3, 11.2, 
##     11, 10.7, 10.3, 8.9, 6.88, 3.23, 0.28, -32.6, -32.9, -32.5, 
##     -32.1, -25.8, -24.1, -21.8, -10.5, -7.99, -4.28, 1.14, 2.85, 
##     5.88, 7.12, 8.38, 9.7, 12.1, 13.5, 18.1, 20.8, 21.4, 23.1, 
##     23, 22.4, 21.9, 21.2, 20.4, 19.4, 17, 15.7, 12.8, 11.5, 6, 
##     5, 4.05, 0.59, -0.64, -2.11, -4.67, -7.52, -8.69, -8.86, 
##     -11.6, -20.7, -24.7, -26, -31.5, -34.2, -35.3, -36.4, -37.9, 
##     -38.3, -38.5, -38, -36.2, -35.5, -34.8, -34.5, -33.9, -33.7, 
##     -30.9, -27.7, -25.8, -23.5, -18.9, -16.6, -11.8, -7.46, -5.2, 
##     -1.38, 8.24, 14.3, 22.1, 23, 23.9, 27.3, 30.5, 31, 31.3, 
##     29.6, 26.2, 25.1, 23.9, 22.6, 20.1, 18.8, 15.1, 13.9, 4.97, 
##     -0.6, -6.18, -8.28, -10.5, -11.6, -15.5, -17, -23.1, -35.3, 
##     -36.3, -37.1, -38.3, -38.5, -38.9, -37.9, -37.5, -36.5, -36.2, 
##     -36, -35.6, -35.2, -34.4, -33.9, -33.1, -32.3, -26.6, -21.7, 
##     -17.7, -15.6, -13.5, -11.5, -9.7, -7.85, -6.16, -3.22, -0.34, 
##     1.13, 13.6, 20.2, 21.2, 23.9, 25.7, 27.4, 28.3, 29.1, 31.1, 
##     31.6, 32.6, 32.4, 32.2, 29.5, 28.5, 26, 24.7, 23.1, 21.5, 
##     14, 2.71, -3.4, -8.62, -11.2, -12.3, -13.8, -21.2, -25.3, 
##     -27.7, -29.4, -31.2, -33.4, -37.6, -38.5, -39.7, -40, -40.7, 
##     -40.8, -40.5, -40.3, -40, -39.7, -39.4, -39.1, -38.9, -38.4, 
##     -38.3, -38.3, -37.8, -37.8, -37.6, -37.2, -35.9, -28.1, -26.3, 
##     -22.3, -18.2, -11.3, -7.05, -4.64, -2.76, 2.16, 8.25, 9.61, 
##     11, 13.6, 14.9, 16.1, 19.7, 20.8, 22.4, 24, 25.8, 27.8, 29.9, 
##     30.8, 32.6, 33.2, 34.5, 34.6, 34.6, 34.5, 34.1, 33.8, 33.5, 
##     33.1, 32.1, 31.6, 30.1, 29.2, 27.3, 26.1, 23.5, 19, 17.4, 
##     15.7, 10.8, 9.23, 7.71, 2.41, 1.14, -0.26, -2.94, -5.47, 
##     -8.9, -12, -13.2, -14, -14.9, -23.4, -26.9, -36.2, -33.6, 
##     -30.5, -27.2, -8.2, -3.85, -2.04, 1.17, 3.89, 5.11, 6.6, 
##     7.88, 9.24, 10.4, 13.1, 14.5, 20, 22.5, 25.8, 26.8, 32.8, 
##     33.7, 35.2, 35.9, 36.5, 38.4, 38.6, 38.3, 37.4, 36.2, 35.6, 
##     34.7, 33.8, 31.4, 29.8, 26.3, 24.5, 20.6, 16.6, 14.6, 11.1, 
##     9.68, 8.02, 6.52, 4.83, 3, -0.52, -2.02, -10.6, -11.7, -14, 
##     -17.4, -9.03, -6.84, -4.27, -2, 5.12, 7.34, 9.49, 16, 18, 
##     22.2, 24.1, 28.1, 29.8, 37.9, 42.6, 44.1, 45.5, 51.4, 54, 
##     56.4, 59.1, 60.5, 63.2, 64.5, 69.6, 72, 74.2, 74.8, 75.4, 
##     76.9, 77.6, 77.4, 76.9, 76.1, 74.2, 73, 71.5, 69.7, 60.6, 
##     52.1, 45.9, 42.7, 39.6, 36.7, 30.3, 26.8, 23.8, 2.22, -0.83, 
##     -9.33, -14.6, -17.2, -21.2, -23, -24.7, -26.8, -31.5, -33.7, 
##     -35.5, -35.5, -34.3, -32.7, -31, -30.2, -29.7, -28.5, -27.7, 
##     -26.8, -25.7, -24.5, -22.2, -21, -19.1, -18.5, -17.6, -16.6, 
##     -14.9, -11.2, -9.42, -7.78, -6, -4.15, 2.5, 7.37, 9.89, 12.5, 
##     15.1, 18.1, 23.7, 33.6, 36, 40.4, 48.8, 50.9, 56.3, 58.3, 
##     63.5, 68.4, 69.8, 71.3, 72.4, 75.7, 79.6, -37.4, -39.4, -40.8, 
##     -41.7, -42.1, -42.4, -42.7, -43, -43, -41.7, -41.1, -40.9, 
##     -40.9, -40.8, -40.8, -40.6, -40.6, -40.1, -39.1, -38.6, -37.1, 
##     -2.95, -4.16, -5.83, -6.76, -10, -10.9, -12.7, -13.5, -14.4, 
##     -16.6, -18, -19.7, -21.5, -26.9, -29.8, -31.2, -31.5, -31.6, 
##     -31.5, -31.3, -30.9, -30.4, -30.2, -30.2, -30.2, -30.1, -30.7, 
##     -31.1, -31.3, -31.6, -45.3, -45.3, -45.2, -45.1, -44.9, -44.8, 
##     -44.8, -44.8, -44.8, -44.9, -45, -45.2, -45.2, -45.3, -44.9, 
##     -44.8, -44.5, -44.4, -44.4, -44.3, -44.3, -44.3, -44.1, -61.8, 
##     -62.2, -62.4, -62.5, -62.5, -62.5, -62.4, -62.5, -63, -63.2, 
##     -64.1, -64.2, -64.3, -62.9, -58.9, -57.4, -56.6, -54.5, -51, 
##     -50, -48.2, -71.9, -72, -72.1, -72.4, -72.6, -72.9, -72.7, 
##     -72.7, -72.8, -73, -73.1, -73.1, -73.1, -73.1, -73.1, -73.1, 
##     -73.1, -35.5, -34.1, -33.6, -33.4, -33.3, -33.3, -33.9, -34.1, 
##     -34.8, -35.7, -36.9, -37.4, -37.9, -38, -38.3, -39, -39.4, 
##     -39.7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, -37.4, 
##     -38.1, -38.6, -39.1, -38.9, -34.9, -29.5, -25.1, -18.2, -9.81, 
##     -0.44, 3.79, 5.43, 18.9, 17.4, 16.4, 15.2, 13.8, 2.38, -2.49, 
##     -10, -12.7, -21.4, -30, -32.3, -34.4, -37.7, -39.2, -40.5, 
##     -43.1, -44.5, -44.2, -43.5, -41, -40.3, -39.6, -38.1, -37.5, 
##     -7.22, -5.03, 1.57, 3.52, 7.42, 9.17, 10.9, 12.4, 16, 18.5, 
##     18.8, 18.8, 18.2, 18, 18.2, 18.4, 18.7, 19, 20.3, 20.3, 20.3, 
##     19.9, -34, -20.9, -18.3, -15.9, -13.7, -6.68, -4.54, -0.71, 
##     4.4, 5.93, 7.49, 8.99, 10.3, 12.9, 15.4, 16.6, 17.8, 18.8, 
##     19.9, 20.8, 22.1, 22.5, 22.8, 23, 23.1, 23.1, 23.1, -50.3, 
##     -49.1, -39.2, -37.7, -35.7, -30, -27.9, -26, -21.7, -19.3, 
##     -17.2, -12.4, -9.88, -5.39, -3.3, -1.22, 0.99, 3.06, 4.89, 
##     11.3, 14, 21.4, 23.1, 25.2, 25.9, 43.7, 43.7, 43.7, 43.6, 
##     43.6, 43.6, 43.5, 43.5, 43.6, 43.6, 43.6, 43.7, 43.7, 43.7, 
##     43.7, 43.7, 43.8, 43.8, 43.7, 43.6, 43.5, 43.5, 43.4, 43.4, 
##     43.4, 43.6, 28.4, 29.4, 35.1, 38.1, 39.6, 41.8, 44, 44.2, 
##     44.7, 44.9, 45.1, 45.3, 46.7, 46.9, 47.1, 47.2, 46.9, 46.7, 
##     46.4, 46.1, 45.7, 45.6, 45.5, 45.1, 24.8, 24.5, 24.2, 24.1, 
##     24.1, 25.9, 26.3, 26.4, 26.6, 26.4, 26.1, 25.9, 25.2, 25, 
##     24.8, 24.7, 24.5, 24.5, 24.4, 24.4, 24.5, 25, 25.4, 26.7, 
##     12.4, 13.7, 14.9, 15.8, 16.2, 16.4, 16.7, 16.9, 16.5, 16.1, 
##     15.8, 15.4, 14.9, 14.7, 14.7, 14.9, 15.2, 17.3, 18.1, 20, 
##     22.8, 23.6, 24.1, 24.5, 8.47, 10.8, 13.3, 14.7, 15.2, 17, 
##     17.9, 18.3, 20, 20.3, 20.7, 20.7, 20.5, 20.1, 18.2, 17.9, 
##     17.6, 17.2, 16.9, 13, 12.2, 11.3, 9.27, 8.19, 5.87, 2.1, 
##     22.4, 33.9, 41.7, 45.9, 47.9, 48.5, 49.8, 50.1, 50.4, 50.3, 
##     49.6, 49, 48.3, 45.1, 40.6, 39.8, 57.4, 82, 83.6, 80.1, 77.4, 
##     64.5, 60.1, 56.3, 50.7, 49.3, 44.5, 40, 36, 35.1, 34.2, 33.1, 
##     32.8, 32.5, 32.2, 32.2, 14.8, 16.5, 22.5, 26.1, 28, 28.9, 
##     30.8, 31.3, 31, 32.3, 33.7, 35.9, 37.9, 38.6, 40.1, 38.7, 
##     38.1, 34.9, 34, -45.7, -42.3, -40, -38.8, -35.7, -33.9, -33.1, 
##     -32.1, -31.2, -30.3, -29.5, -28.1, -27.7, -27.5, -27.4, -27.6, 
##     -27.8, -30.3, -32.3, -33.4, -34.6, -35.7, -36.9, -39.2, -40.3, 
##     -42.9, -43.5, -44, -40, -9.8, -9.77, 30.8, 34.5, 44, 45, 
##     45.7, 46.3, 46.8, 46.1, 45.7, 43.6, 40.1, 38.7, 36.8, 34.8, 
##     32.7, 30.3, 25.1, 21.9, 15, 11.9, 4.89, 1.21, -4.1, -6.13, 
##     -8.16, -12.5, -17.7, -20.2, -23.3, -26, -29.2, 0.65, 2.61, 
##     3.36, 4.02, 5.18, 5.71, 6.7, 6.61, 5.83, 2.8, 1.16, 0.74, 
##     0.33, -1.05, -1.33, -1.65, -2.24, -2.52, -3.16, -3.35, -3.97, 
##     -4.18, -4.38, -4.87, -5.1, -5.23, -5.4, -5.53, -5.57, -5.56, 
##     -5.67, -5.71, -5.69, -5.67, -5.99, -8.35, -9.28, -10.3, -11.6, 
##     -16.1, -18.2, -22.9, -25.5, -31, -39.6, -45.6, -51.6, -54.6, 
##     -60.1, -64.4, -66, -65.1, -61.4, -53.2, -42.7, -39.3, -35.4, 
##     -28.2, -20.6, -14.2, -10.1, -10.4, -12.9, -22.8, -25.9, -29.2, 
##     -32.8, -45.4, -64, -78.3, -83.1, -87.1, -86.3, -64.7, -60.5, 
##     -56.3, -48.2, -44.1, -40.3, -36.7, -33, -24.5, -21.7, -62, 
##     -57.1, -52.3, -48.2, -30.4, -21.4, -13.5, -3.96, -2.23, -3.37, 
##     -4.97, -6.88, -9.31, -18, -24.8, -28.3, -31.8, -47.4, -51.4, 
##     -58.6, -62, -68.3, -70.3, -72.1, -72.9, -72.8, -71.7, -62.3, 
##     -53.9, -50.9, -48.1, -42.5, -36.5, -31, -28.6, -26.4, -22.9, 
##     -21.7, -21, -20.1, -19.8, -19.5, -19.3, -20, -22.9, -24.2, 
##     -26, -32.3, -47.8, -54.7, -58.2, -61.5, -71.4, -73.1, -73.7, 
##     -70.5, -59.9, -43.1, -35.3, -13.7, -9.41, -4.44, 16.3, 14.7, 
##     6.64, -9.34, -15.7, -18.7, -22, -34.6, -37.5, -40.3, -45.7, 
##     -50.4, -52, -54.5, -55.3, -53.8, -51.1, -49.6, -47.9, -46.1, 
##     -44.4, -42.5, -38.5, -36.9, -28.7, -27.9, -26.4, -27.8, -28.5, 
##     -30.7, -33.4, -39, -40.8, -42.7, -40.8, -38.7, -33.1, -29.8, 
##     -23.2, -16.1, -5.69, -2.02, 1.56, 9.12, 12.9, 16, 21.9, 24.3, 
##     26.3, 28.5, 28.7, 28.4, 27.6, 26.3, 24.8, 15.8, 13.3, 10.6, 
##     2.04, -9.26, -11.7, -16.5, -20.3, -22.8, -24.9, -25.4, -25.3, 
##     -21.2, -20.8, -20.6, -20.6, -21.5, -21.8, -22.2, -22.7, -23.1, 
##     -25.1, -26.6, -27.2, -28.2, -28.5, -27.5, -26.8, -26, -20.3, 
##     -18.1, -13, -10.4, -7.48, -1.67, 1.19, 4.24, 7.16, 12.8, 
##     15.3, 18, 23.6, 25.1, 26.3, 29.8, 28.8, 28.1, 27.3, 26.5, 
##     25.6, 22.1, 18.6, -19.8, -20.3, -22.2, -23, -23.4, -23.3, 
##     -22.4, -21.4, -18.5, -12.8, -10.6, -2.22, 4.04, 10.1, 12, 
##     15.2, 16.5, 19.3, 20.7, 21.2, 21.6, 21.8, 21.5, 19.7, 16.9, 
##     15.7, 12.6, 11.1, -1.23, -3.06, -5.67, -6.7, -7.8, -8.64, 
##     -9.43, -10.1, -11.1, -11.5, -11.5, -10, -9.34, -9.08, -8.8, 
##     -8.55, -8.2, -8.06, -7.64, -7.4, -7.08, -6.89, -5.65, -5.38, 
##     -5.07, -4.13, -2.57, 0.92, 2.26, 3.57, 4.93, 6.15, 8.44, 
##     10.4, 11.2, 13.8, 15.2, 15.7, 16.2, 16.3, 17.7, 18.6, 20.9, 
##     22.3, 22.6, 23.3, 20.5, 18.3, 15.6, 11.8, 10.6, 6.97, 3.26, 
##     2.32, 1.69, 1.18, 0.7, 0.14, -3.41, -3.74, -4.44, -4.68, 
##     -4.9, -4.89, -4.61, -4.1, -3.05, -2.39, -1.73, 2.06, 4.02, 
##     7.76, 13.7, 13.5, 13.2, 4.43, 3.75, 3.23, 2.66, 2.7, 3.11, 
##     3.47, 4.26, 5.35, 7.32, 8.06, 8.84, 9.77, 12.3, 13.2, 14.6, 
##     15.8, 18.5, 18.7, 18.8, 18.5, 18.4, 18.1, 17.8, 17.3, 13.7, 
##     11.5, 8.91, 7.34, 5.82, 4.2, 1.65, 0.6, 1.72, 3.05, 6.43, 
##     8.14, 14.4, 16.5, 21, 23.2, 26.9, 30.7, 31.2, 31.3, 31, 30.4, 
##     29.1, 28.4, 21.1, 18.7, 13.7, 12.7, 9.99, 9.71, 9.5, 9.64, 
##     10.5, 11.2, 12.6, 14.4, 16.2, 17.2, 18.1, 19, 23.4, 23.9, 
##     24.2, 24.1, 23.7, 22.2, 21.3, 19, 16.2, 13.1, 9.57, 3.83, 
##     1.95, -0.22, -1.94, -3.72, -6.45, -7.68, -8.72, -9.58, -9.09, 
##     -52, -37.2, -37.4, -31.6, -30.2, -28.9, -27.6, -26.2, -23.5, 
##     -21.8, -20, -7.39, -5.83, -4.15, -2.75, 0.15, 5.57, -17.8, 
##     -13.9, -12, -8.59, -6.8, -5.34, -1.3, 0.83, 2.85, 6.5, 7.23, 
##     8.01, 8.62, 9.26, 10.2, 10.6, 11.2, 11.5, 11.8, 12, 12.1, 
##     12.1, 12.1, 12, 11.9, 10.3, 10.4, 10.8, 11, 11.1, 11.4, 11.4, 
##     11.8, 12, 12.2, 12.7, 12.9, 13.2, 13.2, 13.2, 13.2, 13, 12.9, 
##     12.8, 12.6, 12.5, 12.4, 12.4, 12.3, 12.3, 12.3, 12.5, 12.5, 
##     12.4, 12.4, 12.4, 12.4, 12.5, 12.5, 12.4, 12.4, 12.4, 12.3, 
##     12.3, 12.2, 12.2, 12.1, 12, 12, 11.9, 11.9, 11.8, 11.7, 11.7, 
##     11.7, 11.5, 11.5, 11.4, 11.3, 11.2, 11.2, 11.2, 11.2, 11.2, 
##     11.1, 11, 10.9, 10.9, 10.9, 10.9, 11, 11.4, 11.5, 11.5, 11.5, 
##     11.4, 10.9, 10.7, 10.3, 9.89, 6.54, 5.64, 4.61, 1.04, -0.2, 
##     -1.54, -3.08, -26.6, -29.1, -29.1, -28.4, -27.7, -27, -22.5, 
##     -20.8, -19.2, -17.3, -15.4, -13.7, -12, -10.1, -8.4, -5.09, 
##     -3.51, -0.18, 4.28, 5.53, 9.08, 12.7, 13.3, 14.1, 14.4, 14.6, 
##     14.8, 15, 15.1, 15.2, 15.2, 15.2, 15.2, 15, 14.9, 14.3, 12.7, 
##     11.9, 8.19, 1.4, -0.6, -7.18, -9.59, -15.2, -18.2, -23.5, 
##     -25.8, -30.2, -32, -33.5, -34.6, -37, -36.9, -36, -35.1, 
##     -33.6, -30, -26.3, -22.3, -20.2, -15.8, -9.98, -8.36, -7.03, 
##     -7.02, -8.2, -14.6, -26.1, -27.4, -28.6, -29.6, -31, -31.7, 
##     -31.9, -32, -32.1, -31.1, -29, -27.6, -24, -22, -20.2, -11, 
##     -7.99, -6.68, -5.32, 7.01, 5.75, 4.11, -6.22, -8.62, -11.1, 
##     -15.9, -20.3, -22.4, -27.2, -28.4, -31.2, -32.5, -32.7, -32.2, 
##     -31.6, -30.7, -29.7, -25, -20.8, -19.2, -16.1, -9.42, -9.04, 
##     -10.1, -11.2, -13.7, -15, -18.1, -19.5, -22.3, -26.8, -28.9, 
##     -29, -28.9, -28.7, -28.1, -27.2, -26.1, -24.8, -23.1, -19.7, 
##     -16.3, -11.5, -8.67, -6.15, -3.86, -2.63, -1.55, 0.82, 2.01, 
##     5.93, 7.21, 7.69, 8.99, 9.14, 9.31, 9.67, 9.85, 10.3, 10.5, 
##     10.7, 11.1, 11.2, 11.1, 10.9, 9.93, 8.64, 4.02, 2.62, -2.81, 
##     -7.22, -12, -16.8, -21.4, -28.3, -29.2, -29.5, -29.8, -29.3, 
##     -27.8, -24.1, -19.3, -14, -12.5, -7.92, -4.12, -2.19, -1.81, 
##     -2.11, -3.7, -4.78, -7.48, -8.86, -10.3, -19.6, -23, -24.6, 
##     -25.9, -28.8, -30.4, -30.1, -29.2, -28.2, -26.7, -25.2, -21.4, 
##     -19.6, -12.3, -8.95, -7.39, -1.6, 4.41, 5.53, 7.38, 9.36, 
##     9.55, 10.4, 11.5, 11.8, 11.2, 8.57, 7.65, 6.51, 5.24, 2.26, 
##     -8.52, -11.2, -19, -23.1, -24.7, -26, -27.2, -28, -28.6, 
##     -28.8, -29.2, -29.7, -30.8, -30.5, -28.9, -26.1, -17.7, -12.4, 
##     -10.8, -9.12, -7.66, -4.92, -3.68, -2.36, -5.65, -7.24, -8.84, 
##     -12.8, -14.5, -18.6, -20.6, -24.3, -25.9, -28.3, -29.8, -29.8, 
##     -28.3, -20.2, -11.5, -16.8, -19.1, -21.2, -23.2, -26.4, -27.7, 
##     -28.6, -29.9, -30.3, -31.4, -31.8, -31.7, -31.2, -30.5, -28, 
##     -24.5, -20.6, -16.6, -14.6, -8.53, -1.09, 2.16, 3.51, 4.49, 
##     4.8, 4.45, 3.51, 2.11, -13, -15, -16.9, -20.9, -24.6, -27.6, 
##     -29, -31.3, -32, -32.4, -32.2, -30.3, -28.9, -26.8, -12.2, 
##     -4.58, -2.79, 0.82, 2.59, 5.85, 10.6, 11.1, 11.6, 12.1, 12.3, 
##     12.2, 12.1, 11.2, 11, 10.7, 9.77, 9.15, 8.21, 7.06, 2.42, 
##     -5.98, -11.1, -23.6, -25.8, -27.5, -29.2, -32.4, -33.1, -34.5, 
##     -35.2, -34.4, -33.4, -52.3, -53, -53, -50.9, -50, -46.3, 
##     -43.9, -34, -30.7, -25.2, -22.8, -20.3, -15.9, -9.6, -5.82, 
##     -1.01, 10.8, 12.1, 13.3, 15.5, 16.4, 18, 19.3, 19.6, 19.8, 
##     19.8, 19.7, 19.1, 18.6, 17.9, 15, 11.6, 4.95, 2.02, -3.56, 
##     -6.31, -12.1, -15.1, -26, -28.4, -29.4, -31.8, -35.8, -39.1, 
##     -40.9, -42.5, -47.9, -51, -50.8, -48.1, -45.9, -49.7, -52.6, 
##     -52.4, -51.6, -49.4, -45.7, -39.8, -36.5, -33.6, -30.5, -25.2, 
##     -23.1, -21, -18.8, -17, -10.7, -6.77, -1.32, 2.08, 3.71, 
##     5.39, 11.6, 15.4, 16.5, 17.4, 18.8, 19.2, 19.5, 19.6, 18.5, 
##     16.9, 15.8, 13.2, 7.51, 5.02, -0.05, -16.3, -23.1, -28.3, 
##     -29.7, -30.3, -37.8, -39.3, -45.7, -51, -52.3, -53.3, -52.8, 
##     -52, -51, -50.2, -49.7, -50.2, -51.9, -53.2, -54.3, -54.6, 
##     -54.3, -53, -50.7, -47, -38.4, -26.2, -25.4, -30.2, -31.6, 
##     -32.5, -33.9, -35.2, -36.7, -41.4, -44.2, -47.7, -49.3, -53, 
##     -55.6, -56.8, -55.9, -55.1, -54.1, -52.8, -53.6, -55.2, -56.7, 
##     -57.2, -58.3, -58.3, -58.2, -57, -50.7, -46.2, -31.6, -12, 
##     -9.77, -7.46, -3.22, -1.17, 6.63, 10.4, 12.3, 15.3, 16.7, 
##     17.8, 20.5, 21.4, 21.2, 20.8, 20.3, 17.6, 16.4, -57, -57.7, 
##     -57.9, -58, -58.1, -58.2, -57.1, -56.3, -55.2, -53.7, -51.8, 
##     -49.9, -42.1, -31.8, -25.3, -22.4, -20.1, -15, -12.6, -8.07, 
##     -5.9, -3.98, -2.26, 4.2, 8.84, 10.3, 11.8, 14, 14.9, 15.8, 
##     16.6, 18.1, 18.2, 18.2, 17.7, 17.2, 16.7, 16.4, 16.2, 16.1, 
##     16.2, 16.3, 16.4, 16.4, 16.5, 16.6, 16.5, 16.5, 16.5, 16.5, 
##     16.5, 16.5, 16.6, 16.6, 16.6, 16.6, 16.7, 16.7, 16.6, 16.6, 
##     16.6, 16.5, 16.5, 16.4, 16.3, 16.3, 16.3, 16.2, 16.2, 16.1, 
##     16, 15.8, -45.1, -44.6, -44, -43, -41.7, -40, -32.5, -28.9, 
##     -25.2, -18.6, -15.2, -12.5, -4.29, -1.73, 0.82, 6.97, 10.3, 
##     14.6, 17, 17.9, 19.1, 18.9, 18.5, 18, 17.1, 16, -44.1, -43.5, 
##     -42.3, -40.9, -38.5, -35.8, -26.6, -23.8, -18.5, -13.6, -11.1, 
##     -8.96, -4.92, -3.19, -1.49, 1.19, 3.65, 4.94, 7.21, 9.3, 
##     10.9, 11.5, 11.7, 11.5, 10.4, 7.08, 3.71, -1.09, -3.84, -17.6, 
##     -21.5, -28.7, -31.8, -34.7, -45, -44.9, -43.7, -42.3, -36.3, 
##     -34.1, -23.5, -20.9, -18.6, -15.6, -15, -15, -16.3, -17.5, 
##     -19.9, -22.8, 12.8, 11.1, 7.98, 5.11, -0.76, -3.42, -8.7, 
##     -14.9, -35.7, -37.1, -38.7, -42.5, -44.2, -47.6, -48.2, -31.3, 
##     -28, -26.6, -25.4, -24.9, -27.4, -28.4, -30.5, -31.7, -34.5, 
##     -40.4, -43.6, -43.7, -44.1, -44, -43.5, -42.7, -41.6, -38.1, 
##     -27.9, -23, -20.9, -18.6, -14.2, -4.47, 2.67, 3.71, 4.86, 
##     6.91, 10.6, 6.96, 3.95, -2.37, -4.99, -24.9, -30.9, -32.6, 
##     -36.8, -38.5, -42.3, -47.8, -48.5, -48.8, -36.7, -34.1, -17.7, 
##     -13, -8.82, -6.54, -4.58, -2.58, -0.57, 1.35, 3.15, 6.68, 
##     11.4, 13.8, 14.9, 16.4, 17.1, 17.6, 18.1, 18.6, 19, 18.9, 
##     17.2, 16.2, 15, 13.6, 11.7, 7.14, -38.8, -40.7, -42.7, -48.8, 
##     -49.3, -49.6, -49.8, -49.6, -48.9, -48, -46.3, -32.7, -30.1, 
##     -25, -20.1, -7.57, -5.71, -4.01, -0.8, 0.61, 3.4, 5.85, 7.26, 
##     14, 15.6, 16.6, 16.8, 16.9, 15.7, 15, 13, 11.8, 6.3, 4.07, 
##     1.21, -8.07, -11.4, -15, -18.8, -22, -25.6, -31.6, -33, -36, 
##     -37.9, -41.7, -48.3, -49.4, -49.1, -46.9, -45.5, -44.1, -42.5, 
##     -40.8, -38.9, -35.3, -29.8, -29.3, -29.4, -30.6, -31.6, -37.2, 
##     -38.8, -46.2, -47, -48.2, -47.9, -46.7, -43.1, -34, -28.7, 
##     -23.9, -21.5, -19.3, -15.2, -9.86, -3.53, -0.91, 2.64, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32.1, 
##     -32, -29.7, -28.5, -24.1, -18.7, -15.6, -12.2, 12.7, 15.8, 
##     25.6, 29.6, 31.3, 33.1, 34.8, 36.6, 40, 49, 51.3, 80.2, 80.4, 
##     81.1, 81.3, 81.6, 81.8, 81.9, 82.1, 82.2, 82.2, 81.8, 81.1, 
##     79.1, 78.6, 78, 77.4, 76.7, 72.2, 70.8, 70, 69.3, 68.4, 67.9, 
##     67.1, 66.8, 66.6, 65.7, 65.3, 64.4, 63.4, 62.9, 61.9, 61.4, 
##     60.7, 60.4, 60.1, 57.8, 55.2, 51.1, 45, 41.6, 33.2, 29, 24.5, 
##     20.3, 16.3, 11.9, 8.4, -9.71, -13.3, -17.1, -20.6, -28.2, 
##     -33.7, -41.5, -44.8, -46.4, -48.6, -49.8, -50.3, -50.9, -51.5, 
##     -53.5, -55.3, -55.6, -55.6, -54.8, -54.3, -52.7, -51.6, -48.6, 
##     -46.5, -38.4, -35.1, -13, -9.93, -4.43, 1.59, 4.41, 6.9, 
##     9.54, 13, 16.1, 18.9, 31.6, 43.3, 46, 52.8, 60.1, 63.7, 67.4, 
##     67.7, 68, 68.4, 68.2, 67.7, 67.4, 67, 62.9, 60.3, 57.1, 47.9, 
##     45, 41.7, 35, 31.4, 23.9, 15.8, 11.6, 7.52, 3.62, -0.15, 
##     -7.23, -18.4, -25.6, -41, -44.4, -52.5, -54.7, -56.5, -58, 
##     -60.8, -63.7, -64.4, -65, 1.03, 10.5, 13.5, 19.4, 22.4, 25.3, 
##     28.1, 33, 35.4, 39.4, 42.9, 44.3, 45.6, 49.4, 55, 56.5, 61.2, 
##     62.3, 63.9, 65.5, 66.2, 66.8, 68.1, 68, 67.7, 67, 66.2, -78.3, 
##     -78.1, -77.6, -77.7, -80.5, -82.4, -84.2, -82.9, -78, -59.1, 
##     -51, -40.7, -28, -24.3, -20.3, -12.9, -9.31, 1.54, 4.93, 
##     8.52, 15.6, 18.9, 22.1, 31.8, 34.6, 37.4, 42.5, 44.6, 54.6, 
##     56.2, 57.8, 62.3, 63.4, 64.4, 65.1, 66, 66.4, 66.4, 66.4, 
##     66, 65.7, 65.3, 64.8, 62.8, 61.9, 60.6, 43.2, 39.7, 36, 18.2, 
##     0.6, -3.17, -10.7, -21.2, -28.1, -35.9, -39.7, -44.1, -56.3, 
##     -59.7, -65.1, -70, -72.1, -73.9, -75.6, -77.2, -78.4, -79.5, 
##     -80.6, -80.6, -77.3, -76.8, -76.9, -77.1, -77.5, -77.9, -78.5, 
##     -82.1, -85.1, -87, -88.2, -86.7, -80.7, -77, -73.2, -64.9, 
##     -55.6, -50.7, -41, -32.6, -30.1, -24.8, -21.9, -18.8, 66.8, 
##     66.5, 63.6, 62.1, 60.5, 54.5, 49.7, 34.8, 20.3, 12.8, 5.08, 
##     1.25, -2.35, -6.11, -14.2, -18, -22, -34.8, -48.7, -53.1, 
##     -68.4, -71.2, -77.9, -81.4, -84, -84.7, -84.3, -82.6, -79, 
##     -80.2, -81, -84.6, -86.2, -88.8, -86.7, -77, -73.1, 57.5, 
##     59.7, 61.7, 62.7, 63.5, 65.3, 66, 66.8, 67.3, 68.5, 68.7, 
##     68.5, 68, 66.7, 65.6, 64.5, 63, 51.6, 48.8, 41.4, 37.7, 29.3, 
##     20, 14.8, 5.16, -3.56, -12, -38.4, -42.9, -48.3, -53.1, -58, 
##     -71.8, -74.2, -76.3, -78.3, -81.8, -84.1, -84.8, -85.2, -85.1, 
##     -85, -85, -85.4, -85.8, -87, -87.8, -87.9, -86.7, -79.8, 
##     -75, -72.1, -65.6, -61.8, -49.5, -42.7, -37.1, -31.5, -28.6, 
##     -19.9, -13.9, -11, -8.21, -5.22, 0.51, 3.51, 6.36, 12, 14.6, 
##     32.2, 34.5, 40.9, 47.6, 49.4, 51.5, 53.3, 58.9, 62.5, 63.2, 
##     63.7, 64.2, 64.4, 64.6, 64.7, 63.4, 62.5, 61.4, 58.6, 56.8, 
##     52.5, 50.2, 44.4, 33.4, 14.9, 0.13, -9.02, -17.1, -40.9, 
##     -55.7, -61.5, -66.2, -69.9, -71.6, -73, -74.5, -75.8, -77, 
##     -78.2, -80, -80.7, -81.1, -81.4, -81.5, -81.5, -81.4, -81.5, 
##     -82, -83, -83.7, -84.4, -85.1, -85.7, -84.9, -83.5, -81.8, 
##     -79.5, -76.9, -70.5, -66.7, -62.7, -58.3, -29.7, -21.7, -18.3, 
##     -14.6, -10.9, -4.02, -0.63, 2.68, 5.85, 8.91, 12.3, 15.1, 
##     17.9, 20.8, 26.4, 28.9, 34.1, 40.5, 44.7, 47, 50.9, 54.5, 
##     56.2, 57.8, 60.2, 61.2, 63.8, 64.5, 65.1, 66.1, 67.5, 67.7, 
##     68, 68.1, 68.1, 68.1, 68.1, 68, 67.9, 63.9, 62, 60.1, 55, 
##     48.7, 38, 29.9, -0.15, -14.5, -30.9, -34.7, -64.2, -67.4, 
##     -73.8, -75.7, -81.6, -83, -83, -81.7, -79.5, -76.5, -74.7, 
##     -74.6, -74.7, -75.1, -75.6, -76.4, -77.3, -78.6, -80, -81.7, 
##     -85.8, -85.4, -82, -78.1, -73.9, -69.3, -60.7, -50.4, -46.7, 
##     -68.7, -64.1, -59.1, -54.1, -45.7, -34, -30, -21.5, -13.8, 
##     -2.84, 0.47, 3.85, 16.6, 22.6, 25.5, 33, 35.2, 37.4, 39.6, 
##     43.1, 46.4, 47.9, 49.4, 52.2, 53.6, -15.5, -12.8, -3.16, 
##     -0.01, 16.6, 19.4, 31.6, 39, 41, 45.5, 54.2, 56.9, 59.9, 
##     60.6, 61.8, 63.3, 65.3, 66.3, 61.9, 59.9, 54.6, 51.3, 48, 
##     32.3, 28.4, 19.8, 10.8, 1.76, -10.4, -13.8, -17.1, -23.7, 
##     -27, -30.5, -34, -37.8, -41.9, -50.2, -54.4, -58.4, -62, 
##     -64.7, -69.7, -71.8, -73.5, -74.9, -76.2, -77.2, -78, -78.5, 
##     -67, -68.2, -70.3, -71.3, -72.3, -73, -71.1, -66, -60.7, 
##     -54, -43, -39.5, -32.7, -29.1, -22.8, -9.07, -5.42, 52.3, 
##     56.2, 57.8, 58.7, 59.4, 60.2, 63, 64.1, 66.7, 67.2, 67.7, 
##     68.9, 70.6, 71.6, 72.2, 73.2, 73.6, 75.6, 76.1, 76.5, 77, 
##     77.5, 79.2, 79.6, -23.9, -22.4, -19.7, -13.3, -11.4, -7.36, 
##     -0.35, 7.9, 10.7, 13.6, 16.5, 19.2, 21.6, 35.9, 40.3, 44, 
##     49.2, 50.8, 53.7, 84.6, 84.4, 84.1, 83.7, 81.9, 79.2, 74.8, 
##     72.7, 68.6, 66.3, 63.9, 58.7, 55.8, 52.9, 46.2, 43.1, 39.5, 
##     26.8, 23.5, 20.5, 17.3, 13.9, 10.8, 4.48, 1.6, -1.34, -15.5, 
##     -20.4, -22.6, -18.1, -24.6, -28.8, -38.3, -40.2, -41.7, -43, 
##     -43.6, -44, -44.6, -44.4, -44.3, -44.2, -44.1, -43.9, -43.6, 
##     -42.8, -42, -41.7, -41.2, -40.6, -36.5, 31.9, 32.1, 32.1, 
##     31.7, 31.5, 28.2, 26.2, 23.6, 20.3, 18.3, 16.4, 14.3, 5.1, 
##     3.5, 1.91, 0.14, -2.96, -4.55, -9.75, -11.1, -13.7, -16.3, 
##     -17.7, -18.9, -20.2, -21.6, -23, -24.3, -27, -29.6, -33.7, 
##     -35.4, -36.3, -38.7, -39.3, -39.9, -40.1, -40.3, -40.4, -40.3, 
##     -39.1, -38.6, -38.3, -37.8, -36.3, -35.5, -34.2, -33.4, -32.3, 
##     -29.8, -28.2, -26.6, -23, -18.8, -16.7, -6.28, -4.39, -1.26, 
##     1.85, 4.7, 8.57, 9.59, 12.8, 13.9, 15, 18.4, 20.7, 21.7, 
##     22.7, 23.6, 25, 26.1, 26.7, 27.9, 29.5, 30.4, 31.9, 32.6, 
##     33.1, 33.6, 34.1, 34.3, 34.3, 34.1, 33.7, 33.4, 32.6, 31.5, 
##     29.8, 28.8, 23.4, 8.47, 4.64, -0.87, -2.6, -4.32, -7.51, 
##     -10.3, -12.5, -15.8, -17.8, -18.6, -19.9, -21.1, -21.6, -24.3, 
##     -25.6, -26, -26.7, -27, -27.6, -28, -28.8, -29.7, -30.3, 
##     -30.4, -29.9, -29.4, -28.8, -28.3, -27.4, -26.9, -26.1, -25.7, 
##     -25.2, -23.9, -16.1, -9.46, -4.18, -2.2, -0.15, 1.68, 3.37, 
##     6.54, 9.4, 10.8, 12.2, 14.7, 15.8, 18.9, 19.9, 20.9, 22.7, 
##     26.4, 27.3, 29, 32.4, 33, 33.6, 34.9, 35.2, 35.6, 35.8, 36, 
##     36.2, 36.1, 35.7, 35.4, 35, 34.6, 33.3, 32.5, 31.6, 30.6, 
##     29.6, 28.2, 25.4, 23.9, 22, -36.2, -36, -35.7, -35.7, -35.7, 
##     -35.6, -35.3, -35.1, -34.9, -33.9, -33.5, -33.1, -31.5, -31, 
##     -30.6, -30.2, -29.7, -29.3, -29, -28.5, -27.6, -26.5, -22.9, 
##     -18.6, -16.9, 31.4, 31.6, 32, 32.2, 32.4, 33.2, 33.2, 33.2, 
##     33.2, 33.1, 33.1, 32.9, 32.7, 31.8, 28.8, 21.2, 17.6, 13.9, 
##     11.9, 9.67, 5, 0.42, -2.09, -7.31, -9.68, -20.1, -22.1, -24.3, 
##     -26.3, -30.1, -31.7, -33.2, -35.3, -36, -35.7, -35.1, -34.3, 
##     -33.4, -29.6, -28.8, -26.5, -25.2, -25, -25, -25.1, -26.2, 
##     -26.3, -26.5, -26.6, -26.7, -26.8, -27.1, -27.8, -29, -29.8, 
##     -30.4, -30.6, -30.3, -29.4, -28.6, -24.1, -21.5, -19.9, -13.3, 
##     -5.53, 4.2, 12.2, 14, 15.6, 17.5, 22.3, 23.9, 25.5, 28.1, 
##     30.1, 31, 31.7, 33.6, 34, 36.4, 36.2, 36, 35.4, 34.9, 34.3, 
##     32.7, 31.5, 28.6, 26.9, 25.1, 15.7, 4.65, -8, -9.71, -12.8, 
##     -14.2, -15.5, -18.1, -19.4, -26.3, -27.2, -27.9, -29.8, -29.5, 
##     -29.1, -28.7, -28.3, -27.9, -27.4, -26.8, -26.3, -23.9, -23, 
##     -22.7, -22.6, -22.5, -23, -23.6, -23.9, -24.2, -24.7, -24.7, 
##     -24.7, -24.7, -24.9, -25.1, -25.6, -25.7, -25.5, -25.3, -24.2, 
##     -23.3, -20.3, -18.8, -17.3, -12.6, -5.34, -2.98, 1.53, 3.58, 
##     5.54, 9.16, 12.5, 21.4, 23.5, 24.5, 25.4, 27, 28.4, 29.4, 
##     29.8, 30.2, 30.9, 31.2, 31.5, 31.8, 32.7, 32.7, 32.6, 31.5, 
##     30.8, 29.5, 25.7, 24.3, 12.2, 7.67, 5.7, 3.65, 1.73, -0.38, 
##     -2.15, -7.35, -10.7, -14.4, -19.6, -24.5, -25.3, -26.3, -26.3, 
##     -24.8, -24.2, -23.1, -22.5, -22, -21.4, -20.8, -18.9, -3.24, 
##     0.08, 1.76, 3.44, 6.9, 8.63, 14.6, 16, 17.8, 20.7, 21.7, 
##     22.8, 23.8, 25.4, 27.8, 28.4, 29.3, 30.1, 29.5, 27, 25.9, 
##     24.7, 20.2, 16.7, 12.9, 4.19, 1.66, -1.23, -3.76, -6.24, 
##     -8.86, -11, -13.3, -14.5, -16.4, -17.5, -18.5, -19.4, -24.3, 
##     -26.2, -26.2, -26.1, -25.8, -24.4, -23.9, -23.5, -21.7, -21.5, 
##     -21.2, -21.3, -21.5, -21.7, -21.8, -22, -22.2, -22.8, -23.1, 
##     -23.4, -23.8, -24.1, -24.6, -24.9, -24.8, -23.8, -23, -22.7, 
##     -22.6, -22.5, -14.2, -4.37, 32.7, 32.2, 31.7, 31.2, 30.5, 
##     29.7, 25.6, 16.8, 13, 10.6, 2.09, 0.38, -1.29, -6.83, -9.77, 
##     -13, -14.2, -15.6, -18.9, -23.7, -25.3, -26.6, -27.8, -28.8, 
##     -29.5, -30, -30.6, -31, -31, -30.6, -30.1, -29.8, -29.4, 
##     -28.1, -26.8, -26.5, -26.1, -26.2, -26.3, -26.9, -28.2, -29.8, 
##     -30, -30.3, -30.4, -30, -29.7, -29.4, -29, -27.9, -26.9, 
##     -25.8, -24.3, -23, -19.5, -15.6, -13.4, -8.88, -6.86, -4.55, 
##     -2.52, -0.61, 1.21, 8.46, 11.9, 15.2, 16.8, 23.5, 29.2, 29.9, 
##     31.1, 32.3, 32.8, 34.6, 34.8, 34.7, 33.4, 31.8, 30.8, 26.7, 
##     21.9, 19.3, 14.5, 12.3, 7.89, 5.69, 3.15, -4.85, -7.82, -9.4, 
##     -15.2, -17, -18.9, -21, -22.9, -24.8, -26.8, -30.3, -31.8, 
##     -33, -34.2, -34.5, -34.3, -33.9, -32.4, -31.7, -28.4, -29.3, 
##     -29.4, -29.5, -29.6, -29.9, -30.5, -31.2, -31.2, -31.2, -31.1, 
##     -31, -30.8, -30.2, -30, -29.8, -29.4, -28, -23.4, -10.5, 
##     -7.81, -3.54, -1.63, 2.11, 11.9, 14.3, 17.6, 19.5, 20.4, 
##     21.2, 23.5, 24.1, 24.7, 28.4, 28.7, 28.9, 28.8, 27.4, 26.8, 
##     24.8, 23.8, 19.6, 14.8, 13.1, 9.53, 7.81, 4.23, 0.33, -1.5, 
##     -3.44, -10.9, -12.4, -16.1, -17.7, -20.8, -22.3, -23.9, -26.6, 
##     82.8, 83.3, 83.6, 84.5, 84.6, -24.8, -26.5, -28.4, -31.6, 
##     -36.2, -38.1, -39.9, -44, -44.6, -44.6, -44, -42.6, -39.4, 
##     -37.3, -36.1, -34.9, -32.5, -29.3, -27.7, -26.3, -25.7, 56, 
##     57, 58.1, 61, 62, 63.2, 67.8, 69.5, 71.1, 72.6, 73.2, 73.9, 
##     74.6, 76, 76.5, 76.8, 77, 76.9, 75.8, 74.9, 65.2, 60.5, 48.5, 
##     45, 34.9, 27.7, 24.4, 21.3, 14.6, 11.6, 0.26, -2.68, -8.57, 
##     -14.6, -26.8, -29.6, -34.5, -39, -42.6, -46.4, -49, -49.6, 
##     -50.2, -50.7, -52.4, -52.7, -52.6, -51.3, -50.4, -50, -49.1, 
##     -48.2, -47.7, -47.2, -46.6, -46.1, -45.5, -44.9, -43.1, -42.5, 
##     -41.2, -40.4, -39.7, -39, -38.4, -36.9, -36.2, -35.6, -33.5, 
##     -32.4, -32, -31.8, -31.8, -32.1, 2.95, 6.29, 7.83, 11, 15.9, 
##     19.1, 20.5, 22, 26.1, 27.5, 28, 28.6, 30.1, 30.5, 30.9, 31.3, 
##     31.6, 32.9, 33.2, 33.2, 33, -18.9, -19.3, -19.4, -19.8, -20, 
##     -20.6, -20.9, -21.4, -21.7, -22, -22.2, -22.8, -23.3, -23.5, 
##     -23.7, -23.6, -23.3, -23.3, -23.2, -23.3, -23.2, -22.5, -21.6, 
##     -15.8, -12.2, -11.7, -0.93, 0.5, 5.66, 6.81, 9.25, 10.2, 
##     12.1, 16.2, 18.4, 20.4, 24.6, 25.3, 26.1, 26.9, 28.4, 29.5, 
##     30.3, 30.7, 14.1, 12.2, 8.1, 6.32, 2.95, 1.85, 0.3, -1.22, 
##     -6.02, -7.51, -10.8, -14.3, -17.6, -18.9, -22.2, -28.7, -30.9, 
##     -31.8, -32.7, -33.6, -34.4, -35.7, -36.7, -35, -33.3, -28.2, 
##     -22.9, -10.7, -8.43, -6.12, 0.57, 5.22, 13.4, 15.2, 16.1, 
##     16.9, 19.7, 22.4, 27.5, 28, 28.6, 29.2, 30.4, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, -21.4, -19, -14.2, 
##     -12.2, -8.2, -3.83, -2.3, -2.27, -2.79, -3.82, -8.47, -12.4, 
##     -14.3, -16.2, -18.2, -21.8, -23.4, -27.6, -29.3, -29.8, -29.3, 
##     -25.3, -23.3, -20.6, -15.7, -14.5, -13, -8.85, -7.7, -6.61, 
##     -0.39, 5.52, 7.11, 8.25, 9.42, 9.73, 9.95, 10.1, 10.1, 9.86, 
##     9.75, 9.63, 9.53, 9.34, 8.99, 8.44, 6.44, 5.25, 3.9, -1.77, 
##     -4.04, -6.35, -9.09, -1.5, -0.28, 6.12, 6.88, 7.51, 8.04, 
##     8.74, 9.23, 9.51, 9.79, 10.5, 10.9, 12, 12.1, 12.3, 12.4, 
##     12.4, 12.4, 12.2, 10, 9.28, -8.76, -13.1, -18.2, -25.1, -28.8, 
##     -30.3, -32.6, -33.4, -34.2, -34.9, -35.2, -34.9, -31.7, -28.3, 
##     -26.4, -19.4, -14.7, -12.2, -11.3, -10.7, -10.7, -11.3, -13.5, 
##     -15, -16.4, -19.6, -23.5, -24.5, -29.5, -32.8, -34.7, -34.3, 
##     -32.3, -31.6, -30.9, -30.3, -29.1, -29.5, -30.6, -32, -34, 
##     -34.7, -33.9, -33.6, -32.3, -28.6, -23.5, 11.8, 12.7, 14.5, 
##     17, 18.9, 19.2, 20, 20.2, 20.5, 20.4, 20.3, 20, 19.4, 17.7, 
##     16.8, 14.3, 12.8, 4.05, -5.24, -10.4, -16, 11.6, 9.69, 9.96, 
##     10.5, 11.3, 12.4, 13.6, 15, 16.4, 17.9, 21.1, 22.5, 23.9, 
##     26.1, 26.7, 27.3, 27.5, 26.8, 26.1, 24.1, 22.9, 18.3, 17.4, 
##     14.5, 13.6, 11.7, 10.6, 7.63, 6.44, 9.97, 6.03, 3.8, -8.16, 
##     -9.48, -10.6, -12.8, -14.4, -15.3, -16.2, -16.5, -16.8, -17.9, 
##     -18.7, -18.8, -18.4, -18.3, -18.3, -16.8, -14.6, -12.7, -9.7, 
##     -9.7, -9.94, -11, -14.1, -15.5, -35.7, -52.3, -56.6, -65.9, 
##     -70.5, -84.4, -87.8, -76, -40.9, -42.4, 3.74, 5.82, 9.37, 
##     10.8, 10.7, 10.4, 9.44, 7.71, 1.42, -5.93, -8.97, -15.5, 
##     -18.8, -25.9, -32.3, -35.1, -37.7, -38.5, 4.44, -5.9, -9.44, 
##     -17.5, -24.6, -27.4, -29.5, -31.2, -35.5, -38, -42.8, -44.9, 
##     -46.4, -48.7, -49.5, -50, -49.9, -47.9, -42.6, -40.5, -34.2, 
##     -28.7, -27.7, -31.3, -33, -42.8, -36.4, -32, -29.9, -28.1, 
##     -26.3, -23.5, -22.1, -22.3, -22.9, -24.9, -26.2, -27.6, -35.5, 
##     -41.5, -42.8, -43.9, -45.8, -46.6, -46.7, -46.5, -44.4, -33.5, 
##     -35.3, -37, -38.4, -40.4, -41.1, -41.9, -41.9, -41.8, -35.9, 
##     -33.5, -31.3, -29, -24.2, -22.1, -19.9, -17.7, -9.3, -3.05, 
##     0.54, 11.2, 12.9, 13, -6.55, -18.5, -22.4, -38.2, -39.9, 
##     -45.7, -46.9, -48, -47.4, -41.2, -38.7, -33.6, -28.4, -22.5, 
##     -21.5, -21.2, -22.3, -23.4, -27.1, -29.3, -30.5, -31.7, -36.4, 
##     -39.6, -45.8, -47.4, -48.8, -49.9, -50.6, -50.7, -47.1, -44.9, 
##     -42.6, -40.5, -34.5, -30.9, -27.6, -26.2, -24.2, -24.5, -25.8, 
##     -28.2, -29.7, -33, -36.6, -38.5, -45.6, 15.5, 15, 14.7, 14.5, 
##     14.5, 14.5, 14.4, 14.4, 14.4, 14.3, 14.2, 14, 13.8, 13.5, 
##     12.7, 11.1, 7.27, 5.4, 3.37, -1.17, -9.29, -12.6, -15.9, 
##     -27.3, -39, -40.4, -41.6, 14.9, 13.3, 8.9, -1.73, -5.09, 
##     -8.21, -17.6, -30, -33.6, -35.5, -37.2, -39.3, -41.9, -44.2, 
##     -46.7, -52.9, -56.4, -59.4, -60.5, -60, -59.2, -57.9, -56.7, 
##     -54.6, -53.8, -54, -6.59, -4.43, -2.66, -1.03, 0.76, 2.29, 
##     3.88, 7.05, 11, 13.5, 14.6, 15.6, 17.3, 17.9, 18.8, 16.8, 
##     15.7, 14.4, 12.9, 9.32, 6.94, 1.88, -4.34, -10.1, -19.3, 
##     -4.24, 0.07, 2.32, 12, 14.3, 16.7, 18.8, 22.5, 26.5, 27.6, 
##     29.2, 29.8, 30.5, 30.3, 30, 29.4, 26.3, 24.8, 23.2, 21.5, 
##     18.3, 17, 14, 12.4, 11.9, 12.3, 14.4, 15.2, 17.3, 18.4, 19.6, 
##     21.9, 24.3, 25.3, 28.3, 29.2, 30.8, 31.1, 31.4, 31.7, 31.3, 
##     29.7, 28.6, 26.7, 25.8, 25, 24.1, 17.7, 16.7, 15.6, 14.6, 
##     13.5, 11.8, 10.6, 10, 10, 10.6, 11.6, 13.7, 15.2, 19.1, 20.4, 
##     25.1, 26.6, 28.2, 29.9, 31.7, 36.1, 37.5, 38.8, 40, 42.1, 
##     44.7, 46, 46.3, 46.6, 46.6, 46.6, 46.7, 47, 47.4, 47.6, 47.9, 
##     48.2, 48.5, 49.9, 51.1, 51.4, 51.7, 52, 52.3, 52.6, 53.2, 
##     53.3, 53.2, 52.6, 51.1, 50, 48.6, 47, 41.1, 39.1, 36.8, 34.9, 
##     28.4, 22.5, 18.8, 15.6, 14.2, 12.5, 11.6, 11.9, 13.4, 14, 
##     14.6, 16.7, 20, 23.6, 26.7, 34.3, 36.3, 43.9, 45.6, 47.6, 
##     49.3, 57.8, 59.8, 61.4, 64.2, 67, 67.7, 68.9, 53.9, 55.5, 
##     62.8, 64.2, 65.4, 66.8, 68.4, 68.1, 67.7, 65.5, 63.8, 60.6, 
##     59.2, 57.6, 56.3, 53.6, 52.4, 51, 46.4, 45, 41.6, 35.7, 17.9, 
##     9.62, 4.18, 1.37, -12.2, -7.61, -5.69, -3.7, -1.57, 4.2, 
##     6.33, 15, 17.1, 27.5, 28.9, 29.9, 30.8, 30.8, 30.6, 29, 28.4, 
##     27.5, 25.6, 22.2, 19.7, 17, 10, 5.15, 2.61, -0.43, -12.7, 
##     -15.8, -19.4, -22.6, -26.4, -29.7, -47.9, -51, -61.3, -67.1, 
##     -70, -72.5, -74.9, -76.7, -78.3, -80.3, -80.8, -81, -80.7, 
##     -78.8, -76, -73.7, -68.8, -67.1, -65, -62.8, -55.9, -51.2, 
##     -46.9, -44.5, -37.4, -34.8, -29.7, -22.8, -17, -13.6, -7.12, 
##     -2.48, -0.52, 0.1, 0.54, 0.79, 1.02, 0.99, 0.85, 0.38, 0.04, 
##     -0.29, -1.39, -1.87, -2.52, -3.36, -4.31, -6.82, -10.1, -13.9, 
##     -16.1, -26.4, -41.3, -47.7, -51, -54.4, -47.8, -47.7, -47.4, 
##     -46.6, -46.3, -45.1, -44.7, -43.1, -38.4, -35.5, -34.1, -32.7, 
##     -28.2, -26.8, -23.9, -20.9, -19.6, -17, -15.8, -14.6, -13.6, 
##     -12.6, -9.74, -7.37, -7.21, -7.12, -7.13, -7.56, -8.49, -9.9, 
##     -10.8, -12.8, -15.4, -23.3, -25.2, -33.1, -34.3, -35.5, -37.3, 
##     -38.9, -38.8, -38.7, -38.3, -38, -36.6, -34.3, -33, -32.6, 
##     -31.7, -29.5, -28.8, -28.1, -27.4, -26.8, -26.3, -25.1, -22.5, 
##     -19.7, -18.7, -17.5, -15.5, -13.7, -10.8, -7.91, -5.7, -3.48, 
##     -1.35, -0.64, 1.19, 2.99, 3.31, 3.31, 1.69, 0.99, 0.12, -0.8, 
##     -5.62, -7.06, -8.66, -11.9, -15.5, -18.9, -21.8, -24.3, -29.4, 
##     -29.9, -30.1, -27.7, -27.1, -26.3, -25.9, -23.5, -19.4, -18.6, 
##     -17.7, -15.5, -12.9, -8.85, -2.8, -1.78, 0.17, 1.16, 1.99, 
##     3.52, 5.82, 6.85, 7.48, 9.51, 10.3, 11.9, 13.3, 13.9, 16.3, 
##     16.5, 16.9, 16.5, 16.2, 15.7, 14.9, 12.3, 8.66, 2.87, 1.16, 
##     -0.57, -2.29, -4.15, -5.95, -15, -18.2, -22.7, -24.3, -25.6, 
##     -27, -28.2, -30.4, -30.7, -1.32, 8.3, 12, 13.1, 13.4, 13.7, 
##     13.8, 13.6, 13.5, 12.9, 12.2, 11.4, 10.8, 6.91, 5.47, 2.3, 
##     -8.64, -11.3, -13.8, -16.4, -18.8, -21.1, -24.9, -26.2, -28.1, 
##     -28.9, -31.9, -32.1, -31.6, -30.8, -29.6, -26.8, -25.3, -19.1, 
##     -17.6, -16.1, -13.4, -12, -10.8, -9.62, -8.06, -7.71, -7.85, 
##     -8.36, -11.4, -12.7, -15.3, -16.5, -20.4, -24.2, -25.4, -21.8, 
##     -16.4, -12.3, -8.04, -5.95, -4.04, -0.39, 1.11, 2.71, 7.8, 
##     9.76, 10.6, 11.4, 12.2, 12.5, 12.6, 12.8, 12.9, 13, 12.8, 
##     12.7, 12.6, 11.2, 9.81, 6.06, 4.18, 2.21, -0.02, -4.85, -7.34, 
##     -9.97, -15.2, -17.9, -20.1, -22.3, -24, -27, -27.5, -30, 
##     -28, -26.7, -25.3, -19.8, -12.7, -7.77, -6.54, -4.01, -1.94, 
##     -3.02, -4.13, -6.83, -17.6, -19.5, -21.2, -22.9, -26.9, -27.8, 
##     -29.2, -29.6, -29.2, -28.1, -26.8, -15.7, -13.7, -11.9, -6.82, 
##     -2.63, -1.44, -0.26, 0.88, 7.68, 10.9, 11.6, 11.7, 11.9, 
##     12, 12, 11.9, 11.7, 11.3, 9.93, 8.8, 2.69, 0.66, -1.22, -3.54, 
##     -8.16, -10.5, -12.8, -15.1, -17.2, -19.2, -20.9, -22.5, -25.1, 
##     -28.3, -28.8, -29.3, -29, -28.3, -27.2, -25.9, -22.5, -20.8, 
##     -17.3, -8.86, -7.34, -4.63, -3.5, -1.36, -1.35, -1.72, -2.46, 
##     -4.47, -8.45, -9.73, -11.3, -15.9, -17.4, -18.8, -20, -21, 
##     -23.1, -22.8, -22.3, -21.6, -19.5, -16.8, 6.89, 6.68, 6.31, 
##     6.18, 5.85, 5.09, 2.6, -0.25, -1.34, -11, -12.4, -13.8, -20, 
##     2.25, 3.12, 3.3, 3.22, 3.06, 2.84, 2.6, 2.37, 2.11, 1.89, 
##     1.51, 1.44, 1.21, 0.92, 0.58, 0.07, -0.5, -1.36, -2.3, -16.1, 
##     -22.5, -24.5, -32.4, -35, -35.4, -35.8, -36.4, -36.2, -35.7, 
##     -36.6, -37.5, -37.8, -35.9, -32.7, -30.2, -18.4, -16.7, -12.1, 
##     -6.11, -2.16, -0.01, 0.91, 1.7, 4.92, 5.24, 5.49, 5.67, 5.52, 
##     5.39, 5.09, 4.7, 4.02, 3.56, 2.87, -0.11, -1.36, -4.49, -6.07, 
##     -23.5, -29.4, -31, -32.6, -34.1, -34.7, -36.1, -39.7, -40.5, 
##     -41, -40.8, -40.6, -40.1, -40.6, -41.4, -41.4, -40.2, -33.2, 
##     -30.9, -28.9, -26.8, -24.7, -16.4, -12.5, -6.73, -3.28, 1.31, 
##     8.37, 8.36, 8.38, 8.49, 8.56, 8.78, 8.68, 8.06, 7.59, 4.97, 
##     0.59, -3.33, -5.61, -7.97, -15.6, -21.1, -23.5, -28.3, -30.3, 
##     -34.4, -36.1, -37.1, -38.4, -40.7, -42.4, -42.1, -41.6, -41.4, 
##     -41.3, -41.3, -41.1, -41.2, -41.3, -41.4, -41.2, -40.4, -39, 
##     -35.2, -32.4, -29.4, -27.1, -25.1, -23, -18.8, -16.9, -12.8, 
##     -3.55, 1.2, 5.19, 7.95, 10.2, 10.9, 11.1, 10.5, 7.75, 5.24, 
##     -1.29, -5.65, -22.9, -26.7, -30.1, -32.5, -34.1, -35.1, -36.2, 
##     -39.7, -40.6, -41.3, -41.4, -40.9, -40.1, -39.5, -39.4, -39.3, 
##     -39.3, -39.3, -39.4, -39.5, -39.7, -39.7, -39.6, -39.1, -38.1, 
##     10.9, 10.7, 10.5, 10.2, 9.16, 8.44, 6.56, 5.43, -0.66, -6.87, 
##     -13.7, -15.8, -18.3, -20.6, -22.9, -27, -33.6, -34.2, -36.8, 
##     -36.4, -35.5, -35.1, -34.9, -34.8, -34.9, -35.3, -35.5, -35.9, 
##     -31.4, -25.8, -23.9, -22.3, -14.3, -11.1, -9.48, -7.88, -4.61, 
##     -3.25, -0.59, 1.85, 4.84, 6.47, 6.72, 6.92, 7.08, 7.21, 7.35, 
##     7.48, 7.66, 7.62, 6.76, 4.82, 2.56, 1.07, -4.86, -7.23, -43.8, 
##     -44.8, -45.6, -46, -46.1, -45.9, -43.8, -40.1, -38.2, -35.9, 
##     -33.5, -31, -28.5, -18.1, -17.7, -18.3, -19.4, -20.6, -22.2, 
##     -23.9, -31.2, -35.2, -38.6, -41.6, -43.3, -43.6, -43.9, -41.3, 
##     -40.2, -38.1, -36, -31.1, -26.3, -22.1, -18, -16, -8.45, 
##     -6.72, -1.64, -0.23, 1.13, 2.46, 5.48, 6.89, 7.44, 7.48, 
##     7.4, 7.16, 6.75, 5.6, 3.86, 1.44, -0.11, -1.62, -3.55, -7.83, 
##     -21.9, -33.8, -35.5, -37.4, -38.5, -41.4, -41.9, -42.2, -42.4, 
##     -41.3, -40.1, -38.9, -37.4, -36.1, -32.9, -31.2, -27.8, -24.7, 
##     -23.6, -22.2, -22, -25.2, -28.2, -33.6, -41, -45.6, -47.8, 
##     -47.9, -47, -45.7, -43.7, -39, -31.3, -28.5, -26.2, -21.2, 
##     -16.1, -11.5, -9.16, -5.44, -3.78, -0.36, 1.2, 2.77, 4.22, 
##     7, 10.3, 10.7, 11, 11.1, 10.9, 10.2, 8.07, 4.14, 1.89, -3.3, 
##     -13, -24.1, -33.7, -41.5, -43, -44.6, -47.1, -37, -33.5, 
##     -31.1, -28.3, -20.2, -17.8, -15.5, -13.2, -11.2, -7.93, -6.2, 
##     0.45, 3.31, 4.09, 4.69, 5.16, 5.83, 6.22, 6.41, 6.57, 6.76, 
##     6.89, 7.06, 7.22, 7.54, 7.68, 7.83, 8.08, 8.21, 8.27, 8.37, 
##     8.5, 9.33, 9.66, 10, 10.4, 11, 11.4, 12, 12.2, 12.3, 12.3, 
##     12.4, 12.6, 12.8, 13, 13.6, 13.7, 13.7, 13.7, 13.7, 13.6, 
##     13.5, 13, 12.7, 12.5, 12.3, 12.2, 12, 12, 12, 12.1, 12.6, 
##     12.7, 12.9, 13.1, 13.1, 13.4, 14, 14.3, 14.4, 14.5, 14.6, 
##     14.8, 16, 15.9, 15.7, 15.5, 15.5, 13.4, 12.6, 12.4, 12.4, 
##     12.8, 12.9, 13.1, 13, 12.1, 12, 12, 11.7, 11.4, 10.9, 10.6, 
##     10.5, 10.3, 10.2, 10.1, 10, 9.93, 9.68, 8.84, 8.67, 8.12, 
##     6.57, 6.17, 5.49, 4.61, 4.51, 4.45, 4.5, 4.6, 4.6, 4.62, 
##     4.67, 4.79, 4.81, 4.83, 4.87, 4.96, 4.99, 5.01, 5.07, 5.21, 
##     5.23, 5.18, 5.13, 4.99, 4.96, 4.92, 4.81, 4.72, 4.58, 4.44, 
##     4.28, 3.19, 2.61, 1.95, 1.11, 0.2, -0.88, -3.32, -6.18, -7.7, 
##     -20.8, -30.1, -30.3, -30.3, -35.4, -38.1, -42.4, -42.7, -42.6, 
##     -39.4, -38.4, -32.7, -30.9, -23.9, -2.65, 1.79, 5.91, 7.94, 
##     9.73, 13.1, 16, 20, 22.5, 24.6, 26.9, 27.3, 27.4, 27.4, 27.1, 
##     26.6, 25.8, 20.9, 19.3, 15.7, 9.87, 3.77, 1.46, -0.61, -7.5, 
##     -9.78, -12.4, -16.1, -17.5, -20.8, -22.4, -26.9, -32.8, -34.9, 
##     -36.6, -37.1, -37, -36.3, -35.2, -34, -30.6, -20.3, -16.8, 
##     -13.3, -10, -4.16, -1.18, 1.64, 9.49, 14, 19.4, 22.4, 25.2, 
##     26.3, 28.1, -29.2, -27.1, -24.3, -21.6, -15.4, -11.7, -5.51, 
##     -3.08, -0.18, 2.16, 7.01, 9.59, 11.7, 17.4, 20.4, 23.1, 26.8, 
##     27.6, 23.6, 12.5, 10.1, 7.46, 5.04, 2.11, -3.16, -6, -8.74, 
##     -13, -15.8, -17.2, -18.8, -23.1, -24.5, -25.6, -27.9, -29, 
##     -32.1, -32.4, -31.9, -26.6, -23.4, -21.5, -19.3, -16.4, -12.8, 
##     -9.88, -3.56, 1.15, 7.92, 15.3, 18.6, 20.3, 23.2, 25.5, 27.6, 
##     29.1, 29.7, 30.4, 30.7, 30.6, 30.4, 30.1, 28.9, 28.3, 27.2, 
##     24.5, 20.9, 16.4, 14.1, 8.91, 6.28, 3.46, 0.69, -5.08, -7.23, 
##     -10.4, -11.8, -15.1, -23.4, -25.3, -27, -30.1, -31.4, -33.8, 
##     -34.9, -35.6, -36.2, -36.5, -35.3, -34.3, -32.9, -31.6, -11.3, 
##     -7.14, -3.99, -1.15, 1.19, 3.91, 8.66, 10.9, 19.7, 21.4, 
##     24.6, 25.9, 27.2, 28.8, 26.2, 21.3, 19.3, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -39.1, -21.1, 
##     -3.84, 8.34, 10.8, 13.4, 15.7, 20.5, 23.1, 29.6, 33.3, 36.2, 
##     37.7, 40.4, 41.7, 44.5, 46.1, 48.8, 52.2, 53.7, 54.9, 56.4, 
##     56.8, 57.9, 57.5, 56.2, 52.4, 46.5, 39.3, 36.6, 23.8, 9.01, 
##     11, 13, 16.9, 22.2, 25.6, 27.1, 28.6, 33.5, 35.9, 38, 43.6, 
##     45.9, 46.9, 48.1, 51.9, 52.6, 53.4, 54.4, 55.1, 55.2, 55.1, 
##     -75.8, -74.5, -72.1, -69.9, -68.3, -67.7, -66.9, -66.7, -67.4, 
##     -68.6, -70.6, -72.1, -73.7, -84.5, -78.2, -73, -67.5, -63, 
##     -58.5, -53.2, -46.6, -34.1, -19.9, -8.22, -2.62, 7.03, 12, 
##     16.4, 36.1, 39.4, 42.1, 44.8, 51.9, 53.6, 55.4, 59.7, 63.8, 
##     65, 65.3, 65.7, 65.9, 66, 66.1, 66.6, 66.8, 67.1, 67.4, 67.8, 
##     68.8, 69.3, 69.9, 70.1, 70.4, 71.1, 71.9, 72.1, 72.6, 72.9, 
##     73.4, 74, 74.1, 74.6, 74.8, 75.5, 75.8, 76, 76.1, 76.4, 76.3, 
##     76.6, 77.6, 79.4, 79.8, 79.5, 79.4, 79.3, 78.9, 78, 77.3, 
##     76.2, 75.3, 74.4, 73.3, 72.8, 72.2, 71.3, 70.7, 70.5, 69.4, 
##     68.9, 67.9, 67.6, 67.4, 57.4, 56.9, 56.3, 55.7, 54.4, 52.8, 
##     49.1, 47.7, 45.8, 44, 41.9, 35, 29.7, 20.5, 17.5, 5.57, 0.65, 
##     -5.36, -6.84, -8.4, -11.5, -17.7, -18.8, -21.9, -25.1, -26.4, 
##     -27.9, -28.5, -29.1, -29.4, -29.6, -30, -30.2, -30.2, -30.1, 
##     -29.9, -29.6, -28, -25.5, -20.3, -18.1, -16, -14, -1.18, 
##     0.35, 1.95, 3.55, 4.98, 7.63, 10.2, 12.3, 13.6, 14.6, 17.6, 
##     20.1, 21.6, 23.1, 25, 25.5, 26.1, 26.6, 27.2, 27.7, 29.1, 
##     29.8, 34.7, 35.4, 36.1, 38.3, 41, 41.4, 41.8, 42, 42.2, 42.2, 
##     42.1, 41.5, 37.3, 34.2, 28.3, 25.9, 23.3, 20.8, 15.2, 12.3, 
##     0.99, -4.44, -6.98, -9.58, -11.9, -14.4, -20.3, -22, -28.3, 
##     -29.6, -31.9, -33.1, -34.2, -35.4, -37.7, -38.8, -43.2, -47.6, 
##     -48.7, -49, -49.4, -49.5, -49.5, -49, -48.5, -47.9, -46.3, 
##     -45.3, -43.8, -37.1, -35, -32.8, -25.8, -23, 30.8, 31.8, 
##     32.3, 32.5, 32.6, 32.6, 32.5, 32.3, 30.2, 29.2, 25, 23.5, 
##     21.6, 19.6, 17.3, 15.1, 12.8, 7.73, 5.21, -0.3, -2.99, -5.81, 
##     -8.48, -11.3, -17.1, -21.7, -31.6, -32.8, -33.9, -35.9, -37.5, 
##     -38.9, -39.4, -40.2, -40.6, -41, -41.2, -41.4, -41.3, -39.7, 
##     -39.1, -38.3, -36.2, -34.9, -31.8, -29.8, -25.8, -18.8, -16.7, 
##     -14.2, -10, -6.01, 2.86, 6.91, 11.2, 13, 14.8, 16.7, 24.3, 
##     27.1, 28.2, 29.2, 31.3, 32.4, 33.2, 33.9, 34.6, 35.2, 36.4, 
##     37.6, 39.3, 39.2, 38.6, 38.5, 38.3, 38.1, 35.3, 29.7, 23.3, 
##     16.5, 11.4, 8.82, 6.33, 1, -4.1, -6.64, -11.7, -14.4, -19, 
##     -20.8, -22.7, -24.4, -25.7, -26.8, -28, -34.5, -36.4, -37.1, 
##     -37.1, -37, -36.9, -36.8, -36.5, -36.1, -35.6, -34.9, -34.2, 
##     -33.1, -29.1, -23.1, -20.5, -15.3, -12.2, -6.52, 0.49, 7.54, 
##     9.6, 14.1, 16.1, 24.6, 26.7, 28.5, 29.4, 31.8, 33.1, 33.6, 
##     34.1, 34.6, 35, 35.4, 35.8, 36.4, 37.1, 37.4, 37.5, 37.4, 
##     37.1, 34.6, 33.6, 31.4, 30.1, 28.4, 26.7, 24.7, 22.6, 20.2, 
##     15.5, 2.27, -5.75, -10.7, -17.6, -24.5, -25.3, -25.9, -26.3, 
##     -26.6, -27.2, -30.7, -32, -32.6, -33.1, -33.5, -34, -34.4, 
##     -35.7, -36.2, 37.2, 38.7, 39.8, 40.2, 41.6, 42.1, 42.2, 42.3, 
##     42.3, 42.2, 41.7, 41.4, 41, 40.4, 39.1, 36.1, 34.6, 33.1, 
##     31.3, 29.5, 23.2, 16.4, 13.9, 11.5, 9.21, 6.73, 4.29, -3.73, 
##     -11.3, -14.1, -16.3, -18.4, -20.3, -21.9, -23.3, -26.1, -27.3, 
##     -31.1, -34.5, -35.5, -36.5, -37.2, -38.5, -39.6, -39.8, -40.2, 
##     -40.5, -40.7, -40.7, -40.1, -39, -37.2, -31, -18, -7.76, 
##     -3.45, -1.22, 2.8, 8.56, 14.2, 19.2, 20.7, 27.2, 28.7, 30.4, 
##     33.2, 34.2, 34.9, 35.5, 36.5, 38.1, 38.2, 38.2, 37.9, 37.4, 
##     37.1, 36.7, 35.6, 34.6, 32.3, 30.7, 25.1, 18.4, 8.47, 5.61, 
##     3.05, -5.35, -7.96, -10.7, -20.5, -23.1, -24.1, -25.3, -26.2, 
##     -27.9, -30.3, -31.7, -33.2, -34.6, -35.8, -36.1, -36.2, -36.5, 
##     -36.5, -35.7, -34.4, -30, -26.4, -16.4, -5.87, 2.32, 6.12, 
##     7.89, 11.5, 13.3, 15.1, 16.8, 20.1, 21.8, 24.5, 27.9, 29, 
##     31.9, 32.9, 33.8, 35.5, 36.2, 36.8, 37.5, 37.7, 37.6, 37.5, 
##     37.3, 36.6, 36.3, 34.9, 33.7, 32.1, 30.1, 28.9, 18.7, 16.5, 
##     12, 9.58, 4.39, -0.63, -3.05, -10.2, -14.3, -19.9, -22.2, 
##     -25.7, -27.9, -31.4, -32.4, -34.5, -35.5, -37.1, -36.6, -35, 
##     -34.5, -34.1, -33.7, -32.6, -32, -31.3, -29, -26.1, -24.5, 
##     -20.4, -15.8, -6.99, -4.59, 2.16, 4.52, 8.79, 10.7, 12.7, 
##     14.4, 16, 17.3, 21.2, 24.2, 25.2, 28.3, 30.2, 32, 33.1, 33.9, 
##     -36.4, -36.2, -34.4, -32.3, -27.2, -24.9, -20, -17.8, -15.1, 
##     -10.2, 1.46, 12.4, 14.3, 24.1, 25.5, 30.7, 32, 33.3, 34.4, 
##     35.5, -20.2, -12.6, -10.3, -0.82, 5.69, 7.06, 9.38, 10.4, 
##     15.3, 17.4, 20.1, 21.5, 26.8, 28.5, 29.3, 29.7, 30.5, 66.9, 
##     66.4, 66.1, 65.8, 65.1, 64.8, 64.2, 63.9, 63.7, 63.4, 62.8, 
##     62.6, 62.4, 62.1, 61.9, 61.7, 61.6, 61.6, 61.5, 61.4, 61.3, 
##     61, 60.9, 60.7, 60.3, 60.1, 59.5, 58.8, 58.3, 53.5, 52.5, 
##     47.6, 45.3, 34.3, 30.5, 26.5, 22.7, 4.3, -5.23, -10.5, -19.6, 
##     -27.9, -31.8, -35.8, -43.3, -47.7, -56.4, -61.2, -69.4, -79.3, 
##     -81.2, -79.6, -79.3, -78.5, -78.1, -77.7, -77.3, -77.1, -77.4, 
##     -78.1, -78.4, -83, -85.7, -87.3, -85.7, -68.1, -57.5, -46, 
##     -31.2, -27.7, -24, -16.2, -0.25, 2.2, 20.4, 16.5, 12.3, 4.66, 
##     0.87, -3.13, -11, -14.3, -18, -24.3, -45.7, -49.6, -53.3, 
##     -56.9, -66.4, -72.6, -74.3, -77, -79.5, -30.6, -31.7, -32.2, 
##     -32.3, -32.1, -31.8, -30.8, -30.4, -29.5, -29.1, -28.3, -27.7, 
##     -27.5, -27.7, -28.2, -29.3, -29.5, -29.8, 8.37, 9.66, 10.9, 
##     12.2, 18.4, 23.8, 24.5, 25.7, 26.2, 26.6, 27, 27.6, 27.7, 
##     27.1, 26.6, 26.1, 24.7, 23.7, 22.6, 21.3, 20, 16.7, 11.7, 
##     8.09, 0.22, -1.9, -10.9, -13.2, -15.6, -26.7, -27.5, -28.2, 
##     -28.8, -28.6, -28.3, -27.6, -26.4, -26, -24.4, -24.1, -23.8, 
##     -23.7, -23.6, -23.7, -23.8, -24, -24.1, -24.3, -24.3, -24.9, 
##     -26.6, -27.3, -27.9, -28.4, -28.7, -29, -29, -28.9, -28.6, 
##     -28.3, -28, -27.9, -27.7, -26.7, -26.1, -24.1, -22.3, -20.5, 
##     -18.4, -16.3, -8.3, -6.73, -1.66, 0.01, 8.56, 9.84, 13.5, 
##     14, 14.7, 16, 16.7, 17.5, 18.8, 19.7, 21, 21.5, 21.9, 21.3, 
##     20.3, 14.7, 8.3, 6.77, 5.08, 3.39, -4.66, -11.9, -17.9, -18.9, 
##     -20.2, -21.7, -23, -24.4, -25.5, -26.6, -27.5, -29.1, -29.8, 
##     -32, -32.7, -33.1, -33.4, -33.3, -29.2, -28.5, -27.7, -26.9, 
##     -26, -23.1, -22.5, -22.5, -23, -23.4, -23.7, -24.1, -24.3, 
##     -24.5, -25.1, -25.9, -26.4, -28.6, -29.2, -29.2, -28.9, -28.7, 
##     -27.5, -25.9, -24.6, -13.4, -4.71, -2.86, -0.8, 2.69, 4.58, 
##     8.49, 10.5, 16.4, 18.1, 21, 22.2, 23.5, 24.8, 25.9, 27.1, 
##     29.3, 30.3, 31.2, 31.9, 32.5, 33.9, 36.8, 37.3, 37.9, 37.9, 
##     37.5, 37, 34.8, 33.9, 30.4, 24, 22.1, 20.3, -18.6, -17.9, 
##     -18.1, -18.7, -19.2, -19.6, -20.1, -20.4, -20.8, -21.2, -21.7, 
##     -22.2, -23.4, -24, -25.8, -27.3, -27.5, -27.7, -27.2, -26.3, 
##     -25.6, -23, -22.7, -21.7, 29, 29.3, 28.9, 27.8, 27.2, 26.2, 
##     24.9, 23.9, 23.2, 22.5, 18, 16.1, 15.2, 14.1, 13.1, 11.9, 
##     10.7, 9.3, 8.06, 6.73, 1.08, -0.06, -1.29, -1.93, -3.8, -8.12, 
##     -10.5, -11.8, -13, -15.4, -18.7, -19.6, -21, -21.7, -21.2, 
##     -20.5, -20, -19.2, -18.3, -16.2, -14.8, -9.29, -6.34, -4.84, 
##     -1.01, 0.15, 2.66, 3.86, 6.43, 10.2, 13.7, 16.7, 20.4, 21.4, 
##     22.1, 22.9, 24.7, 25.3, 27.8, 28.1, 28.3, 28.1, 27.6, 27.2, 
##     26.2, 23.9, 21.9, 19.5, 10.4, 8.5, 1.45, -1.31, -2.81, -3.19, 
##     -3.53, -4.47, -5.05, -5.75, -7.38, -8.2, -10.2, -11.2, -12.1, 
##     -13.8, -14.4, -16.6, -17.6, -18, -18.4, -19, -19.5, -19.6, 
##     -19.5, -19.3, -19.1, -18.9, -18.5, -17.7, -16.1, -15, -9.94, 
##     -8.56, -5.96, -1.06, -0.07, 0.93, 3.89, 4.79, 6.62, 7.53, 
##     8.55, 12.8, 18.7, 20, 21, 22, 23.8, 24.7, 26.6, 28.4, 30.1, 
##     35, 35.6, 36.4, 35.8, 34.6, 32.8, 25.7, 22.4, 20.9, 18, 15, 
##     12.2, 0.91, -1.3, -3.48, -4.41, 0.98, 2.25, 3.47, 4.87, 6.08, 
##     10, 11.2, 15, 17.5, 18.7, 19.8, 22, 23, 24, 28.3, 29.7, 31, 
##     32.3, 37.4, 37.7, 36.8, 35, 34.2, -26.8, -26.8, -26.6, -26.4, 
##     -24.8, -24.2, -23.5, -21.7, -19.4, -18.1, -16.8, -9.62, -7.98, 
##     -6.24, -3.13, -1.75, -0.3, 2.41, 3.83, 6.5, 8.97, 10.4, 16, 
##     17.5, 18.9, 20.2, 25.1, 32.4, 33, 33.4, 33.8, 34.1, 34.3, 
##     34.3, 32.6, 27.6, 25.2, 22.6, 18.3, 15.1, 7.96, 2.46, -1.91, 
##     -2.72, -3.94, -4.43, -5.87, -6.6, -8.33, -9.28, -10.4, -11.6, 
##     -13.8, -14.9, -16.1, -19.3, 32.2, 30.9, 28.1, 23.2, 18.1, 
##     16.4, 14.7, 9.41, 7.72, 4.29, -5.33, -7.76, -12.6, -13.7, 
##     -15.8, -16.8, -17.9, -21.2, -26.3, -6.32, -9.45, -11.9, -14.1, 
##     -17.8, -19.6, -20.1, -21, -20.8, -20.7, -20.4, -20.1, -19.6, 
##     -19.2, -17.9, -16.4, -13.6, -12.5, -11.2, -9.87, -8.47, -6.95, 
##     -4.26, -0.22, -16.8, -5.09, -3.48, -1.93, 2.64, 7.29, 11.8, 
##     13.2, 15.9, 17.3, 20.5, 22.7, 24.8, 25.3, 26.2, 26.7, 27.2, 
##     28.4, 9.6, 7.15, 4.48, 1.86, -0.72, -3.72, -10.5, -17.3, 
##     -18.8, -20.3, -24.5, -25.6, -26.6, -27.4, -28.4, -28.6, -28.2, 
##     -26.6, -26.1, -24.2, -22.1, -19.8, -19.1, -30.9, -31, -31.1, 
##     -31.2, -31.1, -31, -31, -31, -31, -30.1, -29.2, -28.1, -26.8, 
##     -25.2, -19.8, -17.7, -13.3, -11.6, -8.48, -7.25, -3.72, -2.59, 
##     0.09, 1.49, 5.57, 7.08, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29.8, -25.4, -21.1, 
##     -15.1, -13.3, -9.79, -8.12, -6.58, -5.16, -2.23, -0.93, 4.15, 
##     5.36, 7.31, 9.23, 9.56, 10.1, 10.4, -24.4, -26.2, -27.7, 
##     -28.2, -28.5, -29.9, -30.4, -31.4, -31.8, -32.1, -31.8, -28.6, 
##     -21.3, -20.1, -17.4, -16, -14.4, -13, -11.4, -8.7, -6.18, 
##     -5.12, -2.62, -1.78, -0.1, 0.77, -15.4, -13.7, -10.6, -8.86, 
##     -5.53, -3.74, -2.25, 0.61, 3.06, 4.13, 5.1, 5.93, 7.31, 7.85, 
##     8.24, 8.76, 9, 8.57, 8.3, 7.71, 7.38, 7.03, 5.98, 5.73, 5.51, 
##     5.39, 6.28, 6.73, 7.19, -9.03, -7.36, -6.53, -6.46, -6.89, 
##     -10.1, -20.5, -27.3, -34.9, -45, -53.7, -57.6, -58.4, -58.3, 
##     -55.8, -54.4, -53, -49.7, -49, -48.4, -48.1, -60.7, -63.9, 
##     -66.8, -75.1, -79, -80.2, -78.7, -75.8, -75.2, -74.4, -74.3, 
##     -74.1, -72, -71, -69.6, -66.7, -63, -60.8, -58.6, -56.2, 
##     -53.7, -48.5, -37.4, -34.8, -32.5, -26.5, -21.9, -20.5, -15.7, 
##     -14, -12.4, -1.58, -7.09, -12.9, -15.9, -22.1, -28.1, -31, 
##     -36, -38.3, -44, -44.8, -45.3, -45.6, -45.3, -44, -42.2, 
##     -39.9, -38.6, -35.6, -34.1, -32.7, -30.9, -16.8, 11.6, 8.66, 
##     3.6, -0.92, -6.07, -7.14, -7.76, -8.13, -7.98, -7.66, -6.59, 
##     -4.79, -4.08, -1.56, 5.55, 7.57, 9.87, 22, 26.6, 35.1, 48.5, 
##     52.3, 70.1, 69.9, 70.5, 71.1, 71.5, 73.5, 75, 75.7, 76.6, 
##     76.6, 75.1, 73, 69.8, 67.9, 57.2, 50.9, 37.3, 33.6, 30.4, 
##     20.5, 28.8, 29.8, 17.8, 11.5, 9.33, 7.19, 2.73, -1.9, -4.3, 
##     -6.61, -9.04, -11.1, -14.2, -15.5, -16.7, -18.1, -19.7, -23.7, 
##     -29.9, -33.5, -35, -36.1, -37.2, -38, -38.5, -38.7, -38.6, 
##     -38.3, -36.9, -35.9, -36.3, -41.2, -42.6, -41.9, -37.5, -36.1, 
##     -34.6, -33.1, -29.8, -28, -26.3, -24.6, -21.4, -20, -17.7, 
##     -18.5, -19.3, -23.7, -26.5, -31.5, -35.1, -38.5, -3.45, -4.86, 
##     -6.2, -17, -19.3, -23.2, -24.8, -27.8, -29.3, -30.6, -38.6, 
##     -45.5, -50.1, -52.2, -54.8, -57.6, -60.3, -62.8, -67.4, -67.5, 
##     -66.7, -64.3, -64.1, -65.8, -66.4, -66.9, -67, -66.9, -66.7, 
##     -66.5, -66.3, -64.9, -57.7, -53.2, -50.5, -28.6, -22.6, -19.8, 
##     -17.4, -14.8, -8.3, -6.33, -4.86, -3.57, -1.96, -1.71, -2.83, 
##     -7.8, -11.5, -22.5, -27.5, -29.4, -36.6, -38.5, -40.3, -42.6, 
##     -46.7, -48.5, -53.4, -55.9, -58.8, -63.6, -64.9, -65.5, -60.2, 
##     -60.2, -62, -62.8, -63.7, -64.5, -65, -65.2, -50.3, -52.3, 
##     -54.5, -59.3, -60.3, -61.1, -61.5, -60.3, -58.8, -59.1, -62, 
##     -62.5, -62.9, -61.7, -57.3, -53.7, -51.7, -49.3, -46.8, -40.2, 
##     -29.4, -26.9, -19.1, -17.6, -13.8, -13, -12.4, -11.9, -12.1, 
##     -12.6, -13.4, -15.8, -21.1, -23.2, -28, -30.6, -34.2, -35.9, 
##     -37.4, -40.9, -42.8, -45.4, -50.3, -52.9, -55.7, -57.9, -60.3, 
##     -63.8, -64.6, -62.6, -58.9, -58.1, -59, -59.7, -60.6, -61.6, 
##     -63.1, -63.8, -63.8, -63.8, -63, -61.7, -56.3, -53.6, -48, 
##     -45.3, -42, -34.2, -29.8, -22.2, -16.8, -14.4, -10.2, -8.43, 
##     -30.6, -28.5, -27.6, -25.8, -24.7, -22.3, -21, -16.7, -15.3, 
##     -13.6, -12.2, -10.8, -9.2, -7.65, -4.63, 1.26, 6.6, 7.65, 
##     8.76, 13.5, 18, 24.8, 25.4, 25.8, 26.1, 26.1, 25.9, 25.7, 
##     23.8, 21.8, 20.7, 19.4, 18.1, 12.4, 6.56, 2.56, 0.3, -1.95, 
##     -9.57, -14.8, -17.5, -19.9, -22.5, -24.9, -27, -31.1, -35.4, 
##     -37.5, -37.8, -37.7, -37.5, -36.4, -35.5, -34.5, -33.4, -33.4, 
##     -33.9, -34.8, -16.6, -13.8, -13.3, -12.6, -12.2, -11.9, -11.9, 
##     -11.9, -12, -12.1, -12.4, -12.6, -12.7, -12.9, -13.1, -13.4, 
##     -13.9, -14.5, -15.7, -16.1, -16.6, -17, -17.5, -17.9, -18.4, 
##     -21.1, -20.8, -17.1, -15.7, -14.3, -12.2, -8.52, -7.13, -6.03, 
##     -3.03, -0.36, 0.4, 1.83, 2.44, 4.42, 5, 5.56, 6.06, 6.88, 
##     7.42, 7.89, 8.44, 8.83, 8.97, 9.1, 9.37, 9.45, 9.51, 9.54, 
##     9.06, 8.45, 6.88, 5.31, 4.43, 2.58, 1.71, 0.83, -0.01, -3.07, 
##     -3.59, -3.48, -3.21, -2.25, -1.55, 0.67, 2.43, 4.63, 5.8, 
##     8.3, 9.52, 27.6, 29.4, 29.8, 30.1, 30.1, 29.9, 29.6, 28.6, 
##     24.2, 21.2, 17.8, 16.1, 12.8, 11, 9.47, 5.86, 5.14, 4.88, 
##     6, 8.1, 12.2, 13.7, 15.2, 18.7, 20.7, 22.4, 26, 29.5, 31.2, 
##     34.3, 37.3, 38.7, 39.9, 42.9, 43.8, 45.4, 46.1, 47.4, 47.7, 
##     47.7, 47.7, 48, 48.3, 48.7, 49, 49.7, 50.6, 51.1, 51.9, 52.2, 
##     50.8, 49.8, 47, 43.6, 39.8, 23.2, 20.9, 18.3, 16.1, 11.9, 
##     8.9, 7.99, 7.5, 7.52, 8.03, 9.05, 10.3, 13.9, 15.9, 29.2, 
##     32.2, 41.2, 43.9, -11.8, -11.8, -9.73, -8.14, -4.11, -1.8, 
##     0.53, 5.86, 8.5, 11.2, 13.8, 17, 22.6, 25.7, 31.4, 37.1, 
##     40.1, 42.8, 45.4, 48.1, 50.7, 57.8, 60, 62.2, 69.9, 72, 72.8, 
##     73.4, 73.7, 74, 73.9, 73.6, 73, 72.2, 71.6, 71.2, 70.6, 68.6, 
##     67.8, 66, 63.5, 62, 58.6, 51.7, 49.1, 46.3, 43.5, 40.9, 37.7, 
##     34.9, 25.5, 16.4, 7.28, 1.6, -1.12, -3.96, -9.37, -17.3, 
##     -19.4, -21.2, 44.6, 44.4, 44.1, 43.8, 42.6, 41.7, 39.6, 38.3, 
##     33, 30.8, 28.6, 14.9, 8.65, 5.11, -4.16, -10.4, -19.5, -34.4, 
##     -37, -40.7, -41.6, -41.5, -40.7, -39.7, -36.7, -20.8, -17.9, 
##     -12.5, -9.31, -0.73, 4.73, 10, 12.5, 17, 20.8, 22.7, 24.3, 
##     25.8, 27.1, 30.4, 31, 32.1, 32.5, 32.6, 32.8, 32.7, 32.2, 
##     31.8, 31.3, 30.7, 29.1, 26, 24.8, 21.9, 16.2, 9.08, 0.28, 
##     -6.03, -13, -16.2, -19.7, -23.4, -26.9, -30.3, -37.2, -43.4, 
##     -49.1, -58.3, -55.7, -53.9, -52, -47.5, -42.4, -36.7, -33.9, 
##     -30.7, -27.5, -24.2, -21.4, -15, -12.4, -0.57, 10.2, 15.7, 
##     14.2, 11.6, 10.4, 8.81, 5.53, -0.53, -5.75, -11.3, -14.7, 
##     -34.8, -42.1, -53.3, -60.5, -64.1, -67.6, -71.2, -74.3, -77.1, 
##     -80.6, -81.1, -80.8, -79.8, -78.4, -72, -69.3, -64.2, -61.1, 
##     -41.8, -38.8, -31.6, -29, -16.2, -18, -17.9, -17.8, -16.8, 
##     -16.3, -12.1, -11.1, -6.18, -4.44, -1.07, 1.69, 4.47, 7.55, 
##     11.6, 12.8, 16.8, 0.28, -4.06, -4.94, -9.11, -11.6, -14, 
##     -15.5, -16.5, -16.8, -17.1, -17.5, -18, -18.6, -22, -22.3, 
##     -22.4, -19.3, -18.1, -16.6, -15, -13.5, -10.3, -8.58, -7.02, 
##     -0.59, 7.01, 17.2, 18.5, 20.7, 21.6, 22.5, 23.3, 24.3, 24.8, 
##     24.8, 24.7, 23.6, 19.7, 15.8, 11.7, 5.51, 0.35, -2.56, -2.7, 
##     -2.78, -3.01, -3.2, -4.47, -4.78, -5.08, -5.36, -5.6, -5.85, 
##     -6.23, -6.42, -6.63, -7.34, -8.43, -9.92, -11.6, -12.5, -14.5, 
##     -15.5, -16.4, -19.8, -20.8, -21.6, -22.9, -25.9, -26.5, -29.1, 
##     -30.1, -30.4, -30.4, -30.1, -29.1, -28, -27.6, -26.7, -25.5, 
##     -24.4, -23.8, -23.4, -23, -20.2, -18.4, -12.5, -11.4, -9.18, 
##     -7.38, -5.74, -21, -16.8, -14.1, -12.5, -11.2, -8.64, -5.26, 
##     -4.22, -2.29, -1.37, -0.49, 0.33, 1.85, 3.72, 3.89, 1.53, 
##     -0.29, -0.99, -2.58, -3.57, -4.63, -7.24, -8.6, -9.99, -12.9, 
##     -14.3, -18.3, -22.9, -25.2, -26.5, -27.5, -28.6, -30.8, -31.7, 
##     -32.6, -33.4, -35.2, -35.4, -36.4, -36.4, -36.4, -36.2, -36.1, 
##     -35.9, -35.2, -35, -34.2, -33.8, -33.4, -32.4, -31.5, -25.8, 
##     -24.2, -16.5, -15.3, -14.1, -12.2, -11.3, -8.01, -4.5, -3.79, 
##     -3.19, -2.76, -2.51, -2.45, -2.74, -3.13, -3.53, -4.45, -5.39, 
##     -6.51, -7.23, -8.92, -13.3, -14.4, -15.5, -17.6, -19.4, -22.3, 
##     -24.3, -29.8, -30.5, -30.8, -31.2, -31.4, -31.5, -31.6, -31.7, 
##     -31.7, -32, -32.1, -32.2, -32.3, -32.5, -33.5, -33.8, -33.9, 
##     -33.7, -33, -32.7, -32.5, -31.6, -31.3, -31, -30.7, -30.4, 
##     -30, -22.1, -20.8, -15.3, -11.3, -10.3, -8.12, -6.1, -5.07, 
##     -1.31, 0.17, 0.51, 0.91, 0.88, 0.43, -1.06, -1.62, -2.92, 
##     -3.71, -4.66, -8.04, -12.1, -14.8, -16.2, -18.5, -21.7, -22.6, 
##     -24.9, -36, -34.9, -32.5, -31.8, -26.8, -24.1, -17.2, -15.9, 
##     -14.8, -13.9, -10.2, -7.98, -4.89, -4.64, -4.49, -4.76, -5.07, 
##     -5.33, -5.65, -6.11, -6.64, -9.21, -11.3, -12.3, -14.3, -21.6, 
##     -22.5, -30.3, -31.1, -31.8, -33.2, -33.6, -33.7, -34, -34.1, 
##     -34.3, -34.9, -35.4, -35.6, -35.8, -35.9, -35.9, -35.7, -35.5, 
##     -35.4, -35.3, -34.8, -32.8, -31.7, -31.3, -30.2, -29.5, -24.2, 
##     -23.3, -21.3, -20.3, -19.2, -18.3, -13.7, -12.5, -10.2, -17.4, 
##     -22.7, -25.3, -27.5, -29.8, -35.8, -36.2, -37.5, -38.4, -40, 
##     -40, -39.5, -38.8, -38.8, -39.2, -39.7, -40.5, -41, -37.2, 
##     -30.2, -23.6, -19.4, -17.2, -11.2, -7.32, -5.52, -3.89, -2.14, 
##     -0.75, 0.76, 2, 5.59, 6.48, 8.69, 9.57, 10.3, 10.4, 10.3, 
##     9.65, 9.2, 8.64, 6.96, 5.72, 2.75, 1.19, -2.96, -5.15, -7.6, 
##     -15.1, -17.8, -29.6, -30.7, -33.3, -34.6, -35.6, -37.9, -39.3, 
##     -40.3, -41.9, -41.7, -41.5, -41.3, -41, -40.9, -40.7, -40.5, 
##     -40.5, -39.4, -34, -31.2, -28.4, -15.3, -10.9, -8.95, -6.85, 
##     -5.07, -3.2, 0.47, 2.06, 5.27, 6.86, 9.38, 10.4, 11.1, 12, 
##     12.5, 12.9, 12.9, 12.7, 12.5, 12.3, 12, 11.5, 10.1, 9.22, 
##     8.12, 6.73, 5.23, 3.44, -3.27, -5.52, -8.13, -17.5, -26.1, 
##     -29.7, -1.78, -0.63, 1.35, 3.08, 4.84, 8.68, 9.06, 9.5, 9.5, 
##     9.01, 8.86, 8.7, 8.23, 8.19, 8.24, 8.13, 7.53, 7.07, 6.42, 
##     3.66, 2.57, 0.14, -2.55, -8.34, -9.99, -11.6, -16.8, -18.6, 
##     -20.4, -23.9, -25.6, -27.4, -29.2, -34.6, -38.3, -40.3, -40.1, 
##     -39.4, -38.4, -37, -35.5, -34, -32.8, -31.7, -30.5, -30.6, 
##     -34.4, -38.4, -38.8, -38.9, -38.7, -27.6, -24.9, -20.2, -18.2, 
##     -15.9, -13.6, -11.4, -4.08, -1.72, 2.93, 7.25, 12.1, 13.6, 
##     13.1, 13, 12.8, 12.6, 12.3, 12.2, 12.1, 11.9, 11.7, 11, 10.5, 
##     9.74, 8.77, 7.52, 4.37, 2.62, -6.31, -13.4, -15.5, -17.7, 
##     -21.4, -23, -24.5, -25.3, -27.7, -27.3, -25.2, -24.4, -23.1, 
##     -22.6, -22.3, -22.2, -22.3, -22.5, -23, -25.2, -28.6, -28.8, 
##     -28.9, -28.9, -25.4, -23.5, -19.7, -17.9, -8.29, -6.41, 2.63, 
##     4.47, 6.03, 11.2, 11.9, 12.3, 12.5, 12, 11.2, 11.1, 10.8, 
##     10.7, 10.5, 10.3, 9.89, 9.28, 4.19, -1.96, -4.24, -9.19, 
##     -13.7, -15.9, -17.9, -23.5, -24.8, -25.7, -26.3, -27.7, -28.1, 
##     -27.9, -26.4, -25.3, -24.1, -23, -20.4, -21, -25, -25.9, 
##     -26.9, -26.8, -26.6, -26.3, -25.5, -21, -19.2, -17.5, -15.9, 
##     -14.1, -12.4, -7.31, -5.72, -4.25, -2.69, -0.32, 0.82, 3.01, 
##     5.06, 5.95, 7.32, 7.94, 7.98, 7.91, 7.91, 8.24, 8.41, 8.76, 
##     4.67, 3.26, -3.88, -5.88, -8, -10, -16.1, -19.5, -22, -23.6, 
##     -24.6, -23.2, -22.2, -21.2, -20.4, -19.1, -18.4, -18.2, -18.4, 
##     -20.7, -21.6, -23.3, -24.1, -23.1, -22.6, -21.3, -19.9, -16.5, 
##     -3.8, -2.18, 2.26, 3.77, 6.13, 6.97, 8.08, 8.4, 8.1, 7.43, 
##     7.09, 6.82, 6.56, 6.37, 6.02, 5.88, 5.8, 5.5, 5.34, 4.65, 
##     -0.62, -2.18, -6.02, -8.07, -10.3, -12.3, -18.1, -19.8, -21, 
##     -21.8, -22.8, -22.9, -22.3, -20.6, -19.7, -18.7, -17.8, -16.4, 
##     -15.5, -15.7, -16, -16.6, -17.4, -18.3, -21.9, -21.9, -21.4, 
##     -21.5, -18.1, -16.7, -15.1, -13.8, -12.5, -11, -6.82, -2.74, 
##     -1.56, 0.53, 3, 3.37, 3.95, 4.04, 4.08, 3.6, 3.42, 3.31, 
##     3.37, 3.49, 3.66, 4, 4.39, 4.56, 4.68, 4.73, 4.49, 2.82, 
##     1.98, 1.08, -0.02, -5.24, -6.75, -8.45, -13.9, -15.7, -18.9, 
##     -20.3, -21.5, -22.9, -24, -24.6, -24.7, -24.7, -19.3, -18.9, 
##     -18.7, -18.8, -19.1, -19.6, -20.2, -21, -23.2, -23.8, -24.1, 
##     -23.9, -23.6, -22, -21, -17.5, -16, -14.3, -11.2, -9.39, 
##     -1.49, 1.17, 4.4, 5.2, 6.02, 7.56, 7.58, 7.39, 7, 7.05, 7.18, 
##     7.31, 7.86, -18.9, -18.1, -18.3, -19.1, -19.5, -21, -21.8, 
##     -21.8, -21.7, -17.7, -14.6, -11.3, -9.45, -7.82, -4.36, 2.18, 
##     3.77, 5.05, 6.35, 7.38, 5.6, 2.65, -6.51, -9.55, -14, -14.9, 
##     -27.8, -29.6, -42.1, -43.1, -40.5, -31.2, -27.3, -16.1, -7.37, 
##     -2.34, 2.05, 3.87, 7.32, 8.8, 11.3, 14, 15.7, 17.9, 18.2, 
##     18.4, 18.2, 16.7, 14, 13, 11.7, 10.3, 8.89, 3.71, 1.96, -0.04, 
##     -2.08, -4.62, -19.6, -22, -22.9, -26.4, -28, -31.9, -33.6, 
##     -35.6, -37.3, -43.3, -45.3, -47.2, -49, -50.7, -52.9, -54.1, 
##     -54.8, -53.5, -50.8, -42.2, -39.1, -35.4, -27, -23.4, -18.1, 
##     -9.76, -2.47, -0.1, 1.95, 4.13, 9.49, 11, 14.9, 16.2, 17.2, 
##     17.9, 18.3, 18.2, 17.7, 16.4, 15.4, 14.2, 12.8, 11.3, 3.61, 
##     1.44, -0.89, -3.66, -6.14, -8.85, -14.7, -20.6, -23.4, -27.8, 
##     -29.1, -31.2, -36.4, -44.6, -46, -49.4, -51.4, -55.5, -56.1, 
##     -56.5, -56.8, -56.5, -55.3, -54.2, -47.1, -44.6, -25.2, -22.4, 
##     -19.7, -14.7, -12.4, -10.1, -8.02, -5.94, -3.92, -2.15, 6.27, 
##     10.3, 10.9, 11.3, 10.9, 8.2, 3.3, 1.34, -0.92, -5.51, -10.6, 
##     -19, -22.1, -33.6, -34.9, -36, -39.7, -43.4, -45, -47.4, 
##     -49.4, -52.4, -53.4, -53.7, -52.2, -51.2, -49.7, -46.1, -43.3, 
##     -31, -27.6, -25, -11.5, -6.66, -2.21, 5.14, 7.82, 12.5, 13, 
##     12.6, 12, 11.1, 10.1, 7.15, 0.59, -2, -4.88, -16.6, -19.8, 
##     -22.9, -25.5, -30.5, -34.4, -37.5, -39.1, -43.1, -44.3, -46.6, 
##     -48, -51.4, -52.4, -53, -54, -52.7, -46.1, -35.7, -32.5, 
##     -30.2, -17.9, -13.4, -7.53, 4.3, 5.41, 5.49, 5.51, 5.28, 
##     5.07, 4.86, 4.27, 4.11, 4.18, 4.28, 4.39, 4.63, 4.73, 4.81, 
##     4.87, 4.9, 4.91, 4.86, 4.79, 4.71, 4.62, 4.51, 4.26, 3.98, 
##     3.55, 3.23, 3.12, 2.94, 2.44, 1.62, 0.37, -0.4, -3.11, -5.41, 
##     -10.7, -15.6, -19.1, -23.1, -27.4, -35.9, -36.6, -56.6, -54.9, 
##     -52.8, -50.7, -47.5, -44.2, -41.2, -35, -32.5, -30.1, -28.6, 
##     -27, -25.8, -24.5, -22.3, -22.8, -23.4, -28, -29.6, -34.8, 
##     -37.9, -40.8, -45.8, -47.9, -54.9, -59.2, -62.7, -64, -62.1, 
##     -61.3, -61.3, -62.5, -63.1, -63.7, -64.2, -64.5, -64.7, -64.6, 
##     -64, -56.1, -54.1, -51.9, -35.9, -25.1, -18.2, -7.74, -5.96, 
##     -3.08, -1.98, -1.01, 0.4, 0.16, -0.48, -1.36, -2.36, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 34.7, 35.8, 36.7, 36.8, 36.9, 
##     37, 37.1, 37.2, 37, 36.9, 36.6, 36.2, 35.7, 34.4, 33.7, 32.2, 
##     30.4, 27.9, 26.3, 13.6, 29.9, 32, 34.2, 37.7, 38.3, 38.8, 
##     41, 41.3, 41.6, 41.7, 41.9, 42.1, 42.2, 42.3, 42, 41.6, 40.1, 
##     37.9, 35.2, 33.4, 29.3, -39.2, -40.1, -41.3, -41.8, -42, 
##     -42.2, -43.2, -43.5, -43.5, -43.6, -43.6, -43.5, -42.8, -41.8, 
##     -41.1, -40.2, -37.9, -31.6, -29.4, -27.2, -17.1, -8.75, -6.34, 
##     -3.48, 5.57, 9.79, 15.5, 20.8, 22.3, 26.8, 28.1, 30.7, 33.4, 
##     34.5, 35.5, 39.5, 39.8, 40, 40.1, 40.2, 40.2, 40.3, 40.6, 
##     40.7, 10.5, 8.3, 3.67, 1.23, -0.82, -2.92, -4.84, -8.27, 
##     -13.1, -15.5, -15.4, -14.8, -14.7, -14.6, -14.1, -13.9, -13.6, 
##     -13.6, -13.5, -13.4, 2.61, -0.44, -2.21, -4.24, -14.1, -16.7, 
##     -19.5, -22.1, -24.6, -27.2, -29.8, -32.4, -37.3, -40.1, -42.5, 
##     -52.8, -55, -60.8, -61.5, -62.2, -63.8, -63.4, -62.4, -9.04, 
##     -9.13, -10.4, -11, -11.7, -12.6, -13.6, -16, -17.4, -18.8, 
##     -22.3, -28.5, -34, -36.7, -42.4, -45, -50.3, -52.9, -55.3, 
##     -59.7, -63.1, -64.5, -65.6, -66.6, -67.4, -68.1, -68.7, -69.1, 
##     -69.5, -69.9, -70.2, -70.6, -70.6, -70.5, -69.5, -68.8, -68, 
##     -67, -49.1, -46.8, -44.4, -39.6, -33, -26.9, -22.1, -17.1, 
##     -16.1, -15, -57.9, -59.2, -63.2, -64, -66.4, -66.7, -67.1, 
##     -67.1, -67, -66.5, -66.2, -65.5, -65.1, -63.5, -60, -54.4, 
##     -52.7, -50.6, -48.6, -46.4, -41.5, -34.2, -32, -27.5, -23.4, 
##     -9.63, -7.85, -7.06, -6.19, -5.59, -5.04, -4.01, -3.09, -2.46, 
##     -2.26, -2.44, -2.99, -4.25, -4.83, -5.49, -6.28, -10.8, -22.3, 
##     -26.5, -28.8, -31.3, -33.8, -36.6, -40.9, -42.8, -44.7, -48.2, 
##     -52.7, -55.3, -56.6, -57.6, -58.7, -59.7, -62.1, -63.8, -65, 
##     -65.1, -64.9, -64.3, -64.1, -63.8, -63.1, -62.7, -61.3, -60.5, 
##     -59.9, -59, -58, -56.7, -48.3, -43.9, -31, -29, -16.4, -15.1, 
##     -10.5, -6.55, -3.4, -2.81, -2.23, -0.72, -0.29, -0.09, 0.05, 
##     0.11, 0.05, -0.34, -1.29, -2.78, -3.79, -6.44, -9.55, -15.6, 
##     -17.9, -22.3, -30.2, -32.9, -47.2, -48.5, -49.8, -51, -52.1, 
##     -54.9, -56, -59.6, -60.4, -60.5, -60.4, -60.3, -59.9, -59.3, 
##     -58.7, -58.2, -55, -53.9, -52.5, -51.1, -45.9, -37.1, -30.3, 
##     -19.5, -17.1, -14, -12.4, -11.5, -10.8, -10.6, -10.5, -10.4, 
##     -10.4, -10.4, -10.5, -10.6, -11.1, -13.7, -14.7, -16, -17.4, 
##     -20.8, -22.6, -24.5, -26.9, -29.2, -34.2, -45.5, -43.5, -31.6, 
##     -29.3, -25.8, -22.3, -20.8, -13.9, -13.1, -11.2, -10.8, -8.83, 
##     -8.42, -8.04, -7.3, -6.05, -39.8, -46.7, -48.5, -55.1, -56.4, 
##     -58.4, -58.8, -59, -59.2, -59.2, -59.3, -59.6, -59.7, -59.9, 
##     -60.2, -60.7, -60.9, -60.8, -60.4, -59.6, -59.1, -58.4, -57.5, 
##     -56.4, -55.4, -52.5, -10.7, -9.76, -9.32, -7.76, -6.93, -6.6, 
##     -6.37, -6.23, -8.23, -9.11, -11.6, -13.3, -19.8, -22, -26.9, 
##     -33.5, -39.6, -45.8, -47.6, -51.4, -61.5, -60.4, -55, -51.9, 
##     -49.9, -46.4, -41.7, -38.6, -29.3, -27.6, -21.4, -20, -18.9, 
##     -17.7, -16.5, -15.6, -13.7, -11.8, -11.4, -10.2, -9.79, -9.62, 
##     -9.38, -12.6, -12.3, -12.1, -11.9, -11.4, -11.1, -11, -10.8, 
##     -10.6, -10.3, -10.1, -9.63, -7.64, -7.11, -5.93, -4.53, -3.11, 
##     -2.47, -1.23, -0.71, 0.27, 0.81, 1.99, 2.6, 3.17, 4.54, 4.79, 
##     4.91, 41.3, 40.5, 39.9, 39.3, 38.6, 37.9, 38.5, 38.3, 37.4, 
##     35.7, 34.7, 33.3, 31.9, 30.2, 25, 19.2, 17, 14.8, 19.1, 10.5, 
##     7.24, -7.45, -18.9, -21.8, -22.6, -23.5, -25.3, -26.1, -27.1, 
##     -29, -32.5, -36.6, -37.4, -37.8, -38.5, -34, -33.2, -32.9, 
##     -32.5, -32.1, -30.7, -29.8, -28.6, -27.2, -23.6, -14.2, -11.4, 
##     -6.48, -2.2, 1.89, 11.5, 13.1, 14.7, 16.3, 17.9, 19.4, 22, 
##     23.5, 26.3, 9.39, 0.6, -3.67, -7.88, -15.2, -18.7, -22.8, 
##     -24, -25, -25.9, -26.7, -29.1, -32.3, -33.6, -33.8, -34.3, 
##     -34.4, -34.5, -24, -25.9, -27.5, -29, -31.2, -31.6, -30.8, 
##     -25, -21.9, -20.3, -16, -3.65, 0.48, 3.19, 11.7, 13.1, 14.4, 
##     17, 21.2, 22.1, 22.8, 23.4, 24.5, 26.2, 26.8, 28.2, 28.6, 
##     -21.6, -23.4, -24, -24.4, -24.7, -25, -25.1, -25.3, -25.3, 
##     -25.2, -25.2, -25.1, -24.9, -24.7, -24.3, -23.5, -23, -22.5, 
##     -20.9, -19.9, -16.5, -15.2, -11.2, -8.62, -5.87, 3.73, 5.02, 
##     15.1, 16.3, 17.3, 20.5, 23.6, 27.2, 29.6, 30.1, 30.7, 31.1, 
##     33, 32.7, 32.3, 31.6, 30.8, 29.8, 26, 24.6, 23.1, 21.7, 20.3, 
##     14.9, 8.75, 6.88, 5.25, 1.84, -1.2, -3.8, -5.12, -6.11, -7.09, 
##     -8.99, -13, -14.2, -15.3, -18.6, -22, -24.7, -25.1, -25.4, 
##     -25.7, -26, -26, -25.2, -24.9, -24.6, -24, -23.2, -18.9, 
##     -18.1, -13.6, -12.2, -8.72, -5.58, -3.94, -2.59, -1.35, 0.08, 
##     1.29, 3.78, 7.66, 8.98, 14.9, 16.8, 17.5, 18.1, 18.7, -2.27, 
##     -3.74, -5.13, -6.15, -6.9, -7.71, -9.38, -9.81, -12.4, -14.7, 
##     -18, -19.7, -21.1, -22.2, -23.2, -24.2, -24.9, -25, -25.1, 
##     -25, -24.8, -24.7, -24.5, -24.3, -23.8, -22.5, -21.6, -19.5, 
##     -16.9, -12.7, -11.2, -9.66, -8.13, 33.1, 31.4, 27, 25.5, 
##     22.5, 21, 17.9, 14.4, 12.4, 10.6, 8.7, 6.58, 1.41, -1.3, 
##     -2.19, -3.02, -4.37, -5.71, -8.97, -9.82, -10.6, -11.4, -12.1, 
##     -14.7, -15.2, -15.9, -16.7, -16.9, -17.2, -17.4, -27.5, -31, 
##     -32.7, -34.2, -35.2, -36.8, -37.3, -37.3, -37.2, -36.9, -37.3, 
##     -37.5, -37.6, -37.5, -37.2, -37.1, -36.9, -36.5, -21.3, -22.3, 
##     -25.5, -26.6, -27.6, -28.7, -29.7, -30.5, -31.1, -31.6, -31.8, 
##     -31.4, -31, -30.7, -29.5, -29.5, -29.5, -29.6, -29.5, -29, 
##     -28.7, -28.4, -27.7, -27.1, -26.8, -26.4, -26.3, -26, -25.8, 
##     -25.7, -23.3, -22.7, -4.29, -3.46, -2.04, -0.86, -0.08, 0.05, 
##     0, -0.18, -0.8, -1.24, -2.65, -8.21, -10.3, -11.4, -20, 19.5, 
##     23.7, 25, 27.1, 30.9, 32.5, 36.8, 37.4, 39.1, 39.7, 39.7, 
##     39.3, 39, 38.6, 36.6, 35.6, 34.6, 33.5, 32.3, 28, 24.9, 23.2, 
##     21.3, 17.2, 10.9, 9, 3.9, 2.48, -6.21, -1.51, 1.51, 3.01, 
##     4.52, 9.36, 11, 14.1, 19.6, 20.9, 22.3, 26.9, 29.6, 33.7, 
##     34.7, 35, 35.1, 34.6, 34.2, 19.3, 23.2, 23.6, 24.4, 24.7, 
##     26.5, 26.8, 26.8, 26.3, 24.9, 23.1, 20.8, 19.5, 17, 15.7, 
##     12.9, 11.5, 9.97, 3.86, 2.32, 0.71, -0.84, 28.8, 28.9, 28.9, 
##     28.8, 28.2, 25.3, 24.1, 19.7, 16.3, 14.5, 12.5, 6.61, 4.3, 
##     2.26, -2.02, -8, -9.57, -10.7, -12.6, -12.8, -13.2, -13.7, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.01, 
##     -6.31, -9.07, -12.2, -37.1, -39.1, -39.8, -39.7, -32.1, -29.4, 
##     -28.5, -27.9, -27.7, -28.2, -32.4, -33.1, -33.9, -33.7, -31.8, 
##     -38.1, -37.3, -35.8, -15.7, -8.83, -4.46, -0.31, 1.63, 3.64, 
##     8.92, 10.6, 11.9, 13.2, 15.3, 15.9, 16.1, 16.3, 16.6, 16.8, 
##     16.7, 16.4, 15.1, 14.1, 12.9, 9.08, 6.87, -20.4, -25.1, -29.6, 
##     -33.7, -35.2, -36.2, -37.4, -40.1, -41.3, -43.7, -44.1, -44.2, 
##     -43.4, -43.3, -43.2, -43.2, -43.2, -43.3, -43.2, -42.7, -41.7, 
##     -40.8, -34.8, -32.3, -27.8, -23.8, -21.7, -16.2, -14.1, -12.1, 
##     -10.3, -3.23, 0.88, 2.74, 10.8, 13.4, 15.3, 16, 16.4, 16.8, 
##     17, 17.1, 16.9, 16.7, 16.1, 15.4, 15, 14.6, 13.9, 10.9, 3.79, 
##     1.4, -0.76, -8.28, -10.6, -15.7, -18, -32.7, -33.6, -37.2, 
##     -39.9, -42.2, -42.9, -42.8, -42.6, -42.2, -42, -41.7, -41.5, 
##     -42, -41.9, -41.4, -40.7, -36.3, -34.2, -24.3, -22.4, -17.7, 
##     -11.5, -9.77, -7.7, -5.94, -4.2, -22.5, -23.1, -23.1, -22.6, 
##     -21.6, -18.5, -14.6, -12.4, -5.19, -2.87, 2.28, 7.54, 13.3, 
##     24.1, 26.8, 29, 35.6, 38.6, 40, 41.1, 42.1, 44.2, 44.7, 44.9, 
##     44.9, 44.8, 48.9, 51.1, 57, 65.4, 67.7, 69.6, 70, 70.4, 72, 
##     71.9, 71.5, 70.9, 69.9, 66.4, 61.7, 55.1, 52.6, 46.6, 43.1, 
##     39.7, 36.4, 32.8, 18, 12, 17.8, 19.7, 20.4, 21.1, 21.7, 23.2, 
##     23.6, 23.8, 24.8, 26.1, 26.3, 26.5, 27.4, -35.4, -37, -37.9, 
##     -39.9, -40.9, -41.9, -44.9, -44.8, -44.3, -43.6, -42.7, -39.3, 
##     -38.4, -38, -37.7, -37.7, -37.8, -37.7, -36.3, -34.3, -32.9, 
##     -31.4, -29.8, -17.9, -65, -64.8, -64.5, -62.8, -61.4, -59.9, 
##     -55.7, -53.3, -50.8, -47.7, -41, -37.5, -33.5, -30, -26.5, 
##     -20.8, -18.4, -16.4, -13.1, -10, -10.5, -18, -20.1, -22, 
##     -24.4, -31.6, -33.1, -37.8, -43.2, -45.7, -37.3, -39.5, -42.1, 
##     -43.6, -45, -46.6, -48, -49.7, -56.7, -59, -58.1, -55.2, 
##     -53.7, -52.4, -51.8, -55.4, -58.5, -59.2, -59.9, -60.3, -60.7, 
##     -60.3, -59.5, -58.2, -46.8, -48.1, -49.1, -49.9, -49, -47, 
##     -30.7, -25.5, -22.6, -16.9, -14.1, -6.77, 4.83, 8.94, 10.8, 
##     20.7, 22.1, 23.2, 24.4, 25.4, 27.8, 32.1, 35.2, 37.2, 38.9, 
##     42.2, 45.3, 46.9, 49.7, 51, 55.4, 56.7, 57.4, 57.5, 57.4, 
##     56.9, 55.8, 55.7, 55.7, 55.8, 55.9, 0, 0, 0, -39.7, -41.9, 
##     -42.9, -43.8, -45.2, -45.5, -39.9, -30.2, -26.4, -22.5, -16.3, 
##     -13.3, -9.97, -6.79, -3.63, -0.76, 4.82, 7.48, 9.76, 15.7, 
##     17.6, 20.6, 22, 28.6, 29.4, 31.4, 31.2, 29.3, 26.9, 25.2, 
##     12.4, 7.45, -0.23, -2.96, -5.87, -11.5, -17.2, -20.2, -25.2, 
##     -30.7, -33.4, -35.4, -36.9, -36.7, -36.1, -35.6, -35, -33.8, 
##     -33.2, -32.1, -31.1, -31.7, -34.8, -36.6, -38.2, -39, -39.7, 
##     -40.8, -41.2, -41.5, -41.4, -40.8, -38.8, -37.4, -30.5, -23.4, 
##     -20.3, -16.6, -5.42, -2.97, 2.25, 7.01, 9.15, 16.8, 19.4, 
##     21.4, 23.2, 23.7, 26.6, 26.6, 26.3, 26.1, 24.9, 22.9, 21.8, 
##     19.3, 17.9, 14.7, 12.9, 4.51, 1.74, -6.94, -10.2, -13.6, 
##     -17.1, -29.1, -33, -35.2, -35.1, -33.1, -31.1, -30, -26.4, 
##     -24.1, -22, -21.2, -20.6, -20.3, -20.9, -21.6, -22.6, -26.2, 
##     -28.9, -30.2, -31.4, -33.7, -35.5, -36.9, -37.6, -38.1, -38, 
##     -37.5, -36.6, -35.4, -29.9, -27.1, -14.2, -11.4, -1.82, 0.56, 
##     4.29, 7.73, 14.4, 16.5, 17.3, 20.1, 20.6, 21, 21.4, -28.1, 
##     -28.6, -27.7, -26.7, -24.5, -23.7, -21.9, -21, -20.2, -19, 
##     -18.5, -18.3, -2.92, -7.57, -9.46, -11.6, -16.7, -19.4, -22.6, 
##     -26.1, -29.7, -35.7, -55.6, -57.8, -65.6, -67.6, -70.9, -71.8, 
##     -70.9, -64.5, -62.1, -61.7, -62.8, -63.8, -65, -66.3, -67.6, 
##     -68.6, -69.3, -69.8, -70.2, -67.3, -63.4, -58.2, -51.9, -40.5, 
##     -36, -32.5, -28.2, -22.3, -17.4, -15, -9.13, -7.59, -5.22, 
##     -4.77, -10.7, -12.4, -14.5, -19.2, -21.9, -24.8, -27.6, -30.6, 
##     -36.3, -40.5, -42.4, -44.8, -49.7, -54, -55.8, -62.2, -63.3, 
##     -63.9, -61.6, -60.7, -60, -59.6, -59.7, -62.5, -63.5, -64.2, 
##     -64.6, -64.9, -65.1, -65.5, -64.8, -63.6, -62.1, -60, -55.5, 
##     -52.9, -50.3, -46.6, -43.3, -29, -25.4, -22, -17.2, -15.2, 
##     -13, -9.65, -6.96, -4.97, -5.87, -7.77, -12.3, -18.4, -28, 
##     -35.6, -37.5, -39.7, -42.1, -46.8, -48.9, -50.9, -54.4, -58, 
##     -59.5, -62.1, -63, -63.8, -64.1, -63.6, -62.6, -61.5, -60.5, 
##     -59.9, -59.7, -60.3, -60.9, -61.5, -61.9, -62.1, -61.3, -60, 
##     -57.3, -50.6, -48.2, -44.6, -37.7, -30.1, -26.5, -22.4, -19.2, 
##     -15.8, -0.55, 3.45, 7.1, 7.44, 5.89, 4.59, 3.12, -0.45, -2.33, 
##     -4.71, -6.99, -12.5, -21.6, -27.9, -44.9, -47.7, -50.1, -52.2, 
##     -54, -56.1, -57.9, -59.9, -62.1, -62.5, -61.5, -60.6, -59.4, 
##     -57.3, -56.8, -56.7, -57.5, -58.3, -60.1, -61.5, -62, -62, 
##     17.2, 17.3, 17.5, 17.6, 17.8, 17.9, 18, 18, 17.9, 17.9, 17.8, 
##     17.3, 17, 16.9, 16.6, 16.5, 15.5, 15.2, 14.3, 13.9, 13.2, 
##     11.7, 7.95, 5.12, 1.35, -0.24, -2.13, -4.32, -36.2, -55.6, 
##     -58.3, -61.5, -60.8, -52.5, -46.4, -43.7, -40.9, -35, -28.6, 
##     -25.2, -22, -17.1, -15.3, -14, -14.5, -15.3, -17.2, -18.2, 
##     -19.3, -20.4, -21.7, -23.2, -25.1, -37, -45.1, -50.3, -56.1, 
##     -57, -57.2, -47, -42.4, -37.2, -32.3, -22.9, -19.3, -15.2, 
##     -4.36, -1.36, 1.63, 10.1, 15.2, 16.5, 16.8, 16.7, 14.6, 13.2, 
##     10, 6.09, 1, -4.73, -11.8, -24, -36.4, -39.9, -42, -43.8, 
##     -46.2, -48.5, -50.2, -39.6, -36.1, -32.1, -28.6, -21.7, -18.9, 
##     -16, -13.3, -10.6, -8.22, -5.89, -3.7, 1.1, 1.35, 0.81, 0.15, 
##     -0.68, -1.6, -2.74, -4, -5.67, -7.31, -9.43, -16.4, -19.3, 
##     -28, -31, -33.9, -37.2, -39.4, -41.7, -43.9, -45.7, -47.9, 
##     -47.4, -45.9, -44, -38.9, -33.1, -20.6, -12.8, -10.6, -10.7, 
##     -11.4, -14.1, -15.6, -19.1, -22.7, -24.7, -26.9, -29, -37.8, 
##     -45, -45.8, -44.6, -40.9, -34.7, -11.1, -5.47, -3.08, -1.06, 
##     4.44, 5.08, 5.43, 4.76, 2.09, 0.73, -2.36, -4.44, -11.8, 
##     -18.4, -31.5, -38.3, -41.4, -42.2, -40.6, -37.5, -28.2, -23.3, 
##     -20.9, -10.1, -11, -12.4, -14.1, -18.3, -20.5, -26.9, -29, 
##     -31.2, -35.1, -39.6, -40.9, -41.6, -42, -41.8, -41.5, -39.5, 
##     -35.5, -30.5, -28.2, -2.9, 1.49, 2.42, 3.24, 3.86, 3.98, 
##     3.46, 2.7, -0.59, -2.05, -3.82, -13.4, -19.8, -23, -26.2, 
##     -29.4, -32.2, -34.3, -35.3, -39, -40.1, -40, -39.7, -38.1, 
##     -36.9, -35.5, -34.2, -32.9, -31.8, -29.4, -27.1, -26.2, -25.3, 
##     -25.9, -28.2, -32.1, -34.9, -36.3, -37.4, -39.6, -40.6, -41.4, 
##     -42.2, -43, -43.5, -43.5, -39.3, -33.6, -27.4, -20.5, -15.9, 
##     -8.31, -6.81, -2.78, 0.56, 1.37, 1.92, 2.21, 2.18, 0.61, 
##     -0.17, -1.14, -2.33, -6.76, -8.71, -10.7, -13, -15.5, -17.7, 
##     -20.2, -24.7, -29.5, -30.1, -31, -34.7, -32.4, -31.1, -28.6, 
##     -27.3, -26.1, -25, -22.6, -22.1, -22.2, -23.6, -26.8, -27.9, 
##     -30.5, -33, -34.2, -36, -36.7, -37.4, -38.8, -38.1, -37.1, 
##     -33.2, -30.2, -21.1, -13.7, -11.7, -9.47, 0.43, 1.59, 4.91, 
##     6.51, 7.14, 7.64, 8.02, 8.31, 8.16, 7.19, 5.68, 4.63, 0.66, 
##     -2.72, -4.94, -17.2, -28.8, -32.8, -34.6, -35.1, -35.7, -35.1, 
##     -34.3, -30.9, -29.7, -28.4, -27.1, -25.9, -24.7, -22.5, -22.8, 
##     -23.5, -24.3, -25.3, -28.8, -30, -32, -34.8, -34.8, -34.7, 
##     -34.3, -26.4, -23.8, -17.7, -9.9, -8.19, -2.9, -11.2, -9.59, 
##     -3.55, -0.95, -0.47, 0.16, 2.28, 3.12, 6.94, 15.8, 18.2, 
##     20.6, 22.8, 25.4, 27.7, 30.4, 32.9, 35.5, 38.2, 40.7, 43.1, 
##     51.4, 51.2, 46.3, 41.7, 32.3, 22.1, -7.13, -35.2, -42.9, 
##     -64.9, -70.8, -63.8, -56.5, -49.7, -36.5, -31.2, -28.1, -47.4, 
##     -75.9, -77.9, -75.3, -66.4, -60.5, -55.4, -49.5, -21.2, 2.33, 
##     6.59, 10.6, 18.6, 21.9, 25.2, 30, 33.4, 35.9, 37, 36.7, 36.1, 
##     34.2, 32.5, 30.6, 28.2, 22.2, 18.7, 14.8, -3.93, -9.09, -21.3, 
##     -27.1, -53.1, -59.1, -74.5, -68.3, -53.2, -44.9, -29.7, -24.8, 
##     -22.7, -31.5, -41.7, -47.7, -64.1, -75.3, -80.8, -81.2, -75.3, 
##     -69.6, -64, -58.3, -47.6, -42.8, -33.5, -24.4, -12.3, -5.14, 
##     -1.92, 4.73, 13.5, 16.1, 21.6, 23.6, 23.9, 23.5, 21.7, 20.7, 
##     19.6, 9.01, 6.41, -6.28, -10.5, -19.6, -29.6, -40.3, -51.9, 
##     -57.9, -63.1, -69.2, -87.7, -70.9, -62.7, -54.4, -38.4, -16, 
##     -33.6, -38.2, -56.8, -61.2, -65.6, -9.24, -7.25, -6.35, -3.56, 
##     -2.55, -1.39, -1.3, -1.48, -1.79, -2.24, -3.39, -4.92, -6.66, 
##     -7.61, -9.91, -12.5, -13.8, -16.3, -18.2, -19.8, -21.2, -21.9, 
##     -22.7, -23.5, -24.5, -26.7, -33.3, -34.2, -35.1, -34.9, -34.6, 
##     -34.4, -33.4, -33, -33.2, -34.4, -34.5, -34.6, -34.4, -33.8, 
##     -33.4, -32.3, -31.6, -30, -29.1, -26.7, -23, -20.8, -19.2, 
##     -17.8, -15.2, -13, -10.9, -9.81, -7.56, -6.55, -5.54, -4.73, 
##     -3.93, -3, -3.16, -3.34, -3.82, -5.54, -6.14, -6.82, -8.19, 
##     -11, -12.8, -19.3, -20.9, -22.5, -23.3, -24.1, -26.8, -30.1, 
##     -30.9, -31, -31.1, -31.1, -31.2, -31.4, -31.6, -32.2, -31.9, 
##     -30.3, -31.3, -31.5, -31.7, -31.9, -32, -32.1, -31.7, -31.6, 
##     -31.6, -31.7, -31.5, -31.2, -30.7, -29.5, -26.7, -25.9, -25, 
##     -22.7, -21.4, -18.6, -17.3, -13.9, -10.7, -9.77, -7.88, -5.04, 
##     -4.6, -4.74, -5.45, -8.32, -10.6, -11.8, -14.8, -19.3, -20.4, 
##     -23, -24.4, -25.3, -26.1, -27, -28.5, -29.4, -30.8, -31.5, 
##     -32.8, -34.2, -35.1, -35.4, -35.9, -35.9, -35.8, -35.6, -35.4, 
##     -34.8, -34.7, -35, -35.6, -36, -36.1, -36, -35.8, -34.9, 
##     -34.7, -34.5, -33.5, -31.3, -30.5, -28.1, -25.4, -24.2, -23, 
##     -18.5, -17.3, -15, -14.1, -13.5, -12.9, -12.3, -11.8, -11.3, 
##     -10.9, -10.4, -9.73, -6.98, -6.24, -5.5, -4.79, -4.21, -3.41, 
##     -4.05, -5.65, -6.35, -7.08, -7.82, -12.2, -14.4, -15.9, -17.1, 
##     -19.5, -20.5, -22.3, -23.2, -24.8, -26.6, -27.5, -28.4, -30.2, 
##     -30.9, -32.6, -32.9, -33.2, -33.6, -34.1, -34.7, -35, -35.1, 
##     -35.2, -34.7, -34.3, -33.4, -32.5, -32, -31.3, -31.4, -31.6, 
##     -32, -31.9, -31.7, -31.4, -31.3, -31.6, -31.9, -32, -32, 
##     -32, -31.8, -30.2, -29.7, -28.2, -26.9, -25.4, -24.1, -22.6, 
##     -21.8, -19, -15.7, -10.1, -6.6, -5.2, -3.84, -1.19, 1.59, 
##     4.44, 5.98, 13, 14.4, 17.8, 19.7, 20.6, 22.8, 23.4, 24, 24.6, 
##     26.3, 27.1, 28.3, 28.8, 29.2, 30.2, 30.5, 30.7, 30.9, 31, 
##     31.1, 31.2, 31.5, 31.7, 31.7, 31.8, 32.3, 32.5, 32.7, 33, 
##     33.4, 33.5, 34.2, 34.3, 34.5, 32.4, 31.5, 28, 26.4, 22.4, 
##     20.4, 18, 15.9, 13.2, 10.8, 8.18, 2.51, -0.48, -3.35, -10.9, 
##     -14.7, -15.6, -17.6, -18.7, -19.7, -21.8, -22.8, -23.5, -23.9, 
##     -24.6, -24.7, -24.6, -24.1, -23.8, -23.8, -24, -23.6, -23.1, 
##     -17.7, -16.9, -16.2, -12.6, -11.1, -9.54, -7.79, -4.17, -1.17, 
##     0.24, 1.96, 4.89, 7.89, 9.39, 12.2, 14.7, 17.3, 21.3, 23.6, 
##     24.6, 25.5, 26.9, 28, 29.3, 29.4, 29.5, 29.5, 29.3, 28.4, 
##     27.1, 26, 24.9, 22.4, 20.8, 19.3, 13.8, 11.8, 9.75, 5.38, 
##     3.18, -1.86, -9.23, -10.7, -11.3, -11.5, -12, -13.9, -16, 
##     -17.2, -19.7, -20.7, -21.7, -23.7, -24.2, -24.8, -25.2, -25.5, 
##     -25.4, -25.2, -24.9, -24.7, -24.6, -24.7, -24.7, -24.8, -24.8, 
##     -24.9, -25, -25.3, -25.3, -25, -24.8, -24.5, -21.3, -20.9, 
##     -19.8, -19, -18.1, -17.2, -15.9, -9.01, -7.45, -5.72, -2.41, 
##     0.75, 2.29, 4.02, 5.68, 7.12, 8.71, 14.6, 16, 20.2, 21.4, 
##     23.6, 25.4, 26.7, 28, 27.9, 27.6, 27.2, 26.7, 23, 20.2, 17, 
##     15.2, 4.82, 2.42, 0.1, -2.33, -10.1, -11.1, -13.8, -14.6, 
##     -17.7, -20, -22.2, -23.3, -23.8, -24.1, -24.2, -24.5, -24.1, 
##     -23.9, -23.7, -23.3, -23.3, -23.6, -23.8, -23.8, -23.4, -22.9, 
##     -22, -21.6, -21.2, -20.9, -20, -19.2, -18.7, -16.4, -15.3, 
##     -13.9, -11, -7.59, -5.67, -4.08, -2.51, -0.9, 0.66, 3.44, 
##     -0.55, -2.89, -5, -7.07, -8.7, -11.3, -12.2, -13.1, -15, 
##     -16, -16.9, -18.6, -20.9, -22.1, -22.8, -22.9, -23.1, -23.8, 
##     -24, -24.2, -24.5, -24.6, -24.7, -24.8, -25.2, -25.7, -25.8, 
##     -25.7, -25.6, -25.4, -24.7, -24.3, -23.7, -23.1, -22.5, -21.3, 
##     -18.1, -17.7, -15.9, -13.9, -12.7, -11.3, -9.85, -5.54, -0.27, 
##     1.28, 8.44, 14.5, 15.8, 18, 18.9, 21.8, 22.5, 22.7, 22.9, 
##     22.9, 22.7, 21.2, 15.8, 14.9, 13, 12, 11.1, 8.72, 7.22, -3.81, 
##     -8.63, -13.9, -14.9, -15.6, -17, -17.8, -19.8, -21.2, -22.2, 
##     -22.5, -21.7, -21.1, -20.6, -20.3, -20.2, -20.1, -20.7, -21.2, 
##     -21.4, -21.6, -21.7, -21.6, -21.1, -20.4, -16.3, -14.9, -13.6, 
##     -10.6, -8.86, -7.96, -5.68, -2, 4.77, 5.83, 6.73, 9.39, 10.3, 
##     11.2, 12.8, 13.4, 13.8, 13.8, 13.3, 13, 12.7, 12.2, 11.8, 
##     11.3, 9.52, 8.45, 6.3, 3.48, 2.61, -1.85, -3.03, -4.17, -6.83, 
##     -9.53, -10.7, -11.6, -13.2, -14.9, -18.9, -19.2, -19.4, -19.5, 
##     -19.7, -19.6, -18.5, -18.3, -18.1, -18, -18, -18, -18, -17.7, 
##     -17.6, -17.6, -17.5, -17.5, -17.6, -17.7, -17.2, -16.9, -16.6, 
##     -16.6, -16.5, -16.2, -15.6, -14.8, -13.7, -10.7, -5.38, -4.18, 
##     -3.17, 1.53, 4.01, 5.28, 8.07, 10.1, 13.4, 13.7, 14.4, 15.9, 
##     16.4, 16.6, 16.7, 16.6, 15.3, 14.4, 12.3, 10.9, 9.73, 8.3, 
##     5.6, 2.61, -3.4, -6.16, -7.11, -7.67, -9.48, -10.4, -12.9, 
##     -13.7, -16.4, -16.9, -17.5, -17.5, -16.6, -15.9, -15.5, -14, 
##     -14.1, -14.3, -14.6, -14.8, -15, -16.1, -16.4, -17.1, -17.9, 
##     -18.4, -18.9, -19.8, -19.6, -18.2, -13.5, -11.9, -10.2, -8.56, 
##     -6.93, -3.48, 1.68, 3.01, 4.56, 5.93, 9.38, 12.8, 13.4, 14.1, 
##     14.7, 15.3, 17.4, 17.7, 18.1, 18.1, 17.6, 8.43, 9.27, 9.81, 
##     10.1, 10.2, 10.1, 9.93, 9.73, 9.54, 9.4, 9.37, 9.52, 9.43, 
##     6.65, 5.39, 4.07, 2.33, -3.23, -11.3, -13.3, -14.9, -17.7, 
##     -19.4, -21, -22.7, -23.7, -25.3, -25.2, -17.6, -17.4, -17.4, 
##     -17.7, -18.3, -19.2, -21.3, -24.4, -25, -25.1, -23.8, -22.4, 
##     -21.2, -19.6, -16.9, -15.6, -12.5, -10.9, -9.34, -7.55, 1.39, 
##     2.46, 3.58, 5.37, 6.08, 7.3, 7.7, 9.18, 9.53, 9.53, 9.47, 
##     9.2, 9, 3.19, -1.87, -3.67, -5.78, -7.65, -11.7, -17.2, -21.7, 
##     -22.4, -23.1, -24.4, -25.1, -26.3, -21.7, -20.7, -19.9, -18.4, 
##     -19.5, -20.1, -21.6, -22.4, -23.1, -24.5, -24.1, -23.9, -21.4, 
##     -20.4, 2.93, 3.02, 3.12, 3.2, 3.7, 4, 4.08, 4.24, 4.31, 4.39, 
##     4.46, 4.52, 4.58, 4.6, 4.66, 4.82, 5.11, 5.23, 5.64, 5.55, 
##     5.49, 5.28, 4.41, 3.95, -0.66, -1.79, -3.28, -4.92, -6.63, 
##     -8.57, -12.9, -17.8, -20.5, -23.2, -28.1, -30.2, -32, -31.2, 
##     -30.1, -29, -27.7, -23.3, -22.2, -20.1, -19.4, -18.7, -19.1, 
##     -20.5, -22.4, -24.7, -25.7, -27.8, -29.5, -29.5, -28.9, -28.1, 
##     -27.5, -24.1, -23.1, -21, -17.8, -18.1, -18.8, -19.3, -19.9, 
##     -21.5, -22.5, -23.6, -24.6, -26.8, -30, -30.6, -31.5, -31.1, 
##     -27.6, -22.9, -20.1, -21.3, -23.2, -24.4, -29.6, -30.1, -30.4, 
##     -30.4, -30.1, -29.7, -29, -23.7, -22.5, -21.2, -18.8, -17.6, 
##     -13.9, -12.9, -11.9, -11.1, -9.79, -10.9, -11.8, -14.1, -15.4, 
##     -22.2, -25.8, -27.4, -28.9, -32.4, -33.1, -33.5, -33, -32, 
##     -30.6, -25.9, -24.4, -23.2, -22, -22, -25.8, -28.2, -30.7, 
##     -31.6, -33.2, -33.6, -33.1, -30.1, -27.8, -22.7, -20.5, -17.6, 
##     -16.6, -14.8, -13.6, -13.3, -15.3, -16.2, -18.7, -20.1, -21.6, 
##     -25.1, -26.8, -28.7, -35.2, -36.5, -38.7, -38.8, -37.4, -30.7, 
##     -29.1, -25.5, -25.1, -26.5, -27.6, -31.1, -35.9, -36.9, -38.2, 
##     -38.4, -38.2, -37.6, -36.2, -34.2, -33, -28.6, -24.6, -20.5, 
##     -19.3, -17.1, -16.2, -14.8, -13.9, -14.7, -15.3, -16.8, -17.8, 
##     -19, -25, -26.7, -28.6, -35.9, -37.7, -39.1, -40.6, -41.7, 
##     -43.3, -43.1, -30.8, -26.3, -28.9, -26.2, -29, -33.8, -36, 
##     -39.1, -40.1, -40.8, -39.3, -37.4, -35.6, -31.1, -27.1, -24.2, 
##     -23.4, -24.2, -27.6, -30.4, -32, -37.6, -38.6, -40.1, -39.7, 
##     -39.2, -38.5, -31.8, -29.9, -28.1, -24.2, -22.4, -18.5, -16.4, 
##     -13.1, -8.02, -7.1, -6.38, -5.87, -5.6, -7.44, -8.69, -16.5, 
##     -21.8, -27.4, -30.2, -33.2, -35.8, -37.9, -41, -42.9, -43.4, 
##     -42.9, -40.8, -39.2, -37.6, -36.1, -34.8, -33.5, -31.2, -30.3, 
##     -30, -35.5, -40.1, -41.5, -43.4, -41.1, -38.2, -32.2, -26.4, 
##     -24.5, -22.8, -19.3, -13.6, -13.1, -12.9, -12.9, -13.2, -13.6, 
##     -15.1, -18.8, -20.3, -24.1, -26.2, -28.3, -33.1, -35.6, -37.7, 
##     -43.5, -46.4, -47.3, -47.8, -47.7, -44, -40.6, -38.9, -37.3, 
##     -34.4, -35.4, -36.5, -37.7, -39, -42, -44.6, -45.7, -46.7, 
##     -46.6, -45.3, -42.6, -41, -38.8, -32.5, -30.3, -28.4, -24.7, 
##     -22.9, -21.4, -18.4, -13.7, -12.4, -12.3, -12.7, -14.2, -18.3, 
##     -20.3, -25, -30.2, -40.9, -47.6, -48.3, -45.4, -41.7, -39.9, 
##     -38.2, -32.4, -14.1, -16.3, -21.9, -25, -28.1, -38.1, -45.6, 
##     -47.9, -52.6, -52.7, -43.6, -37.7, -35.8, -34.2, -32.8, -31.8, 
##     -31.1, -31.3, -32.9, -34.1, -36.8, -38.5, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4.72, 
##     -4.08, -3.74, -3.73, -3.95, -4.49, -5.33, -6.41, -9.59, -13.9, 
##     -19, -21.7, -27.3, -39.7, -44.9, -49.9, -51.4, -56.2, -57.7, 
##     -58.3, -59.3, -59.7, -60, -60.2, -60.4, -60.4, -60.4, -60.1, 
##     -59.9, -59.6, -59.3, -58.5, -58.1, -55.3, -54.3, -53.1, -51.9, 
##     -49.5, -47.8, -46.3, -44.6, -35.4, -33.5, -31.6, -29.5, -27.4, 
##     -21.6, -19, -16.6, -14.5, -12.7, -10.9, -10.1, -9.26, -7.83, 
##     -7.09, -6.43, -5.88, -4.94, -4.24, -3.97, -3.74, -3.56, -3.39, 
##     -3.24, -2.96, -2.59, -2.51, -5.2, -6.43, -7.81, -13.8, -18.6, 
##     -21.3, -24, -26.6, -37.5, -40.1, -50, -51.8, -53.1, -54.4, 
##     -57, -57.1, -57.3, -58.7, -59.3, -59.4, -59.3, -58.8, -57.9, 
##     -57.3, -55, -52.3, -48.8, -46.7, -44.2, -41.8, -39.4, -37.8, 
##     -34, -30.8, -28.7, -27.2, -23.2, -20.1, -19.3, -18.5, -17.7, 
##     -16.3, -14.4, -13.4, -12.4, -11.8, -11.8, -11.9, -12.1, -12.4, 
##     -13.1, -14.1, -14.6, -15.4, -16.2, -17.1, -19.3, -24.4, -26.4, 
##     -28.4, -38, -55.4, -56.3, -57.8, -58, -58.1, -58.1, -58.3, 
##     -58.4, -58.5, -58.9, -59.1, -59.6, -59.9, -60, -60.1, -60.1, 
##     -59.9, -59.6, -57.8, -50.9, -44.1, -38.9, -28.8, -26.3, -19.2, 
##     -17.8, -16.3, -15.1, -11.4, -9.4, -8.72, -5.73, -4.72, -4.5, 
##     -4.37, -4.29, -4.53, -5.15, -7.13, -9.03, -10.1, -11.3, -12.6, 
##     -15.5, -17.2, -18.9, -21, -23, -29.8, -35, -40.2, -47, -49.1, 
##     -50.9, -53.5, -54.4, -55.4, -55.3, -54.9, -54.1, -53.8, -53.5, 
##     -53.5, -54.9, -55.5, -56, -56.4, -56.7, -57.3, -57.5, -58.3, 
##     -58.7, -58.9, -59.1, -59.2, -59.5, -59.7, -61.5, -61.8, -62, 
##     -61.7, -61.3, -60.7, -60, -57.5, -50.6, -37.6, -32.4, -15.3, 
##     -12.5, -0.3, 1.63, 3.47, 5.11, 6.66, 10.6, 11.8, 12.9, 16.1, 
##     17.2, 18.2, 22.2, 23.1, 25.8, 27.3, 27.8, 28.5, 29, 29.4, 
##     29.6, 29.8, 39.8, 39.8, 39.8, 39.7, 39.6, 39.4, 39, 38.7, 
##     38.2, 37.9, 37.5, 36.3, 35.4, 35, 33.2, 32.9, 32.6, 32.4, 
##     32.3, 32.2, 32.1, 32, 32.3, 32.4, 32.6, 32.8, 33, 33.2, 35.5, 
##     38.4, 39, 39.5, 41.5, 43, 43.4, 43.8, 45.1, 45.9, 45.9, 45.9, 
##     45.9, 45.7, 45, 44.5, 42.3, 39.6, 23.2, 12.6, 4.83, -13, 
##     -18.3, -23.5, -28.5, -38.8, -48.4, -52.1, -55, -58.1, -61.2, 
##     -55.7, -47.5, -39.7, -37.5, -35.3, -33.2, -31.4, -29.8, -28.5, 
##     -27.4, -25.6, -25.5, -25.5, -26.6, -29.5, -30.7, -32.2, -35.8, 
##     -37.9, -42.6, -45, -57.6, -59.7, -62.4, -62.9, -61.9, -59.4, 
##     -57.6, 24.7, 21.7, 18.6, 15.1, 11.7, -3.02, -21.4, -25.3, 
##     -29.3, -36.9, -40.4, -42.8, -50.3, -51.6, -52.9, -52.3, -51.3, 
##     -47.3, -45.8, -39, -36, -31.8, -31.3, -31, -31.7, -33.5, 
##     -36.3, -37.9, -41.3, -47.6, -49.8, -50.5, -50.8, -50.4, -49.6, 
##     -48.6, -38.8, -35.8, -32.3, -24.9, -20.2, -16.5, -4.05, -1.49, 
##     1.29, 3.67, 6.45, 8.91, 15.6, 17.7, 22, 30.3, 34.8, 35.7, 
##     40.6, 40.8, 40, 38.3, 37, 35.6, 29.7, 21.7, 15.2, 11.9, 4.73, 
##     0.94, -10.7, -14.6, -18.4, -26, -29.6, -36.9, -38.2, -41.3, 
##     -42.6, -43.6, -44.1, -43.4, -42.8, -41.2, -39.1, -37.8, -30.4, 
##     -29.5, -28.8, -28.2, -28.7, -29.3, -29.9, -30.7, -31.5, -33.3, 
##     -35.4, -36.5, -37.6, 10.2, 14.8, 17.1, 21.3, 23, 27.6, 32.9, 
##     33.6, 34.8, 34.8, 34.7, 30.7, 23.5, 21.5, -7.52, -20.8, -24, 
##     -35.2, -38.5, -39.9, -41.4, -42.5, -39.8, -40.8, -43.2, -43.7, 
##     -43.9, -43.9, -44, -43.6, -42.9, -40.8, -39.3, -37.3, -35.3, 
##     -23.4, -9.47, -0.96, 2.06, 4.64, -39.6, -35.3, -30.5, -26, 
##     -14.7, -8.44, -5.55, -2.62, 2.59, 5.34, 7.65, 18.6, 22.7, 
##     26.5, 29.3, 31.3, 32.6, 35.6, 38.5, 39.6, 40.7, 40.7, 40.5, 
##     39.6, 37.8, 31.8, 27.4, 30, 30.2, 30.4, 30.5, 30.7, 30.9, 
##     31.1, 31.3, 33.6, 34.3, 36.6, 38.2, 38.5, 39.3, 39.4, 39.5, 
##     39.4, 39.3, 39.4, 39.5, -11.4, -24.6, -34.1, -44.1, -49.6, 
##     -54.7, -64.1, -72.5, -76.3, -68.5, -59, -42.3, -37.2, -32.2, 
##     -27.9, -21.2, -19.5, -21.3, -23.9, -30.1, -33.4, -50.9, -60.6, 
##     -61.5, -54.2, -47.7, -36.9, -25.8, -16, -13.1, -8.49, -6.88, 
##     -1.56, -2.74, -30.8, -35, -34.8, -30.4, -28.4, -24.6, -20.6, 
##     -8.78, -5.56, -4.98, -4.51, -4.17, -4.06, -4.35, -4.62, -5.57, 
##     -6.27, -7.82, -8.69, -10.9, -13.7, -18.1, -19.6, -20.8, -21.7, 
##     -23.1, -23.1, -23, -20.2, -18.8, -17, -14.5, -9, -1.49, -1.65, 
##     -2.93, -4.32, -6.77, -7.65, -9.11, -9.21, -9.22, -9.22, -9.2, 
##     -9.26, -9.87, -10.2, -10.8, -10.5, -8.92, -8.26, -7.56, -5.99, 
##     -4.86, -4.49, -4.39, -4.54, -4.56, -4.45, -3.67, -2.85, -2.48, 
##     -1.96, -1.52, -0.82, -0.61, -0.46, -0.48, -0.57, -0.71, -0.93, 
##     -1.23, -1.63, -3.03, -3.44, -3.8, -4.84, -4.9, -4.83, -4.69, 
##     -4.45, -4, -3.86, -3.82, -3.91, -3.91, -3.54, -3.32, -3.02, 
##     -1.27, 0.62, 1.66, 3.62, 5.35, 7.94, 8.33, 8.39, 8.34, 8.17, 
##     6.86, 5.35, 10.7, 12.6, 14.3, 16, 17.4, 19.5, 20.5, 20.5, 
##     20.2, 19.6, 18.8, 15.3, 13.1, 11.9, 10.8, 9.55, 8.42, 5.85, 
##     4.73, 3.14, 2.89, 2.96, -7.15, -5.33, -3.39, 3.16, 8.65, 
##     11.4, 14, 16.6, 23.2, 24.8, 26.2, 25, 23.9, 22.9, 21.5, 20.4, 
##     17.1, 16.1, 14.9, 13.8, 12.1, 11.5, 10.8, 10.1, 9.13, 8.89, 
##     8.76, 8.78, 9.56, 27.7, 28.6, 29, 26.9, 25.6, 21.9, 19.8, 
##     8.64, 2.91, -2.61, -12.9, -14.9, -16.7, -19.7, -20.8, -20.3, 
##     -18, 51.9, 56.5, 59.6, 60.1, 57.2, 56.2, 55.2, 54, 52.8, 
##     50.1, 45.9, 39.5, 38.2, 36.8, 30.9, 26.6, 25.3, 23.9, 21.1, 
##     17.8, 16.3, 12.2, 11, 9.95, 7.87, 6.65, 5.74, 4.94, 4.28, 
##     2.21, -0.47, -1.32, -1.74, -2.86, -3.54, -4.09, -4.28, -4.35, 
##     -4.11, -3.9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.08, 3.48, 
##     4.89, 7.58, 14.9, 20.5, 21.6, 24.3, 26.3, 26.9, 27.8, 28.1, 
##     26.9, 26.1, 25.1, 24.2, 23.1, 17.2, 11.1, 9.44, 7.42, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -31.2, -40.7, -47.5, -49.4, 
##     -49.7, -49, -47.3, -45.7, -42, -39.5, -31.4, -23.6, -21.3, 
##     -15.2, -11.8, -8.8, -7.37, -6.2, -5.48, -5.69, -6.41, -7.4, 
##     -31.9, -35.2, -40, -40.6, -33.3, -31.5, -30, -19.1, -11.8, 
##     -9.92, -6.45, -4.85, -2.05, -0.85, 0.49, -0.32, -1.37, -4.06, 
##     -5.72, -7.91, -10, -12.5, -15.2, -17.9, -16.9, -14.4, -13.2, 
##     -9.52, -8.34, -7.11, -4.59, -3.4, -0.86, 0.42, 1.47, 4.58, 
##     5.5, 6.45, 7.15, 8.24, 8.63, 9.13, 9.31, 9.59, 9.53, 8.39, 
##     8.02, 5.67, 3.25, 3.04, -15, -13.4, -11.5, 0.58, 6.74, 33.6, 
##     35.6, 30.4, 29.2, 28.1, 26.3, 25.7, 25.1, 24.4, 24.1, 24.4, 
##     24.7, 25.1, 25.7, 27.1, 28.2, 29.6, 31.2, 35.4, 38.5, 39.7, 
##     42.5, 45, 47.5, 49.1, 3.25, 5.42, 8.93, 10.5, 12.1, 13.7, 
##     18.4, 19.8, 22.3, 23.3, 23.8, 23.6, 22.6, 12.9, 10.3, 5.26, 
##     2.59, 0.1, -2.59, -10.6, -11.9, -12.5, -11.7, 3.68, 3.35, 
##     3.2, 3.07, 2.82, 2.88, 5.7, 6.57, 10.4, 11.1, 11.7, 12.4, 
##     12.5, 9.41, 5.43, 3.97, -2.72, -3.54, -4.76, -2.07, 0.23, 
##     6.7, -3.75, -5.27, -6.95, -9.25, -11.5, -17.5, -21, -24.2, 
##     -34.9, -38.3, -44.1, -48.3, -49.4, -49.3, -46.3, -37.7, -34.4, 
##     -26.8, -15.1, -11.7, -8.63, -4.26, -3.21, -3.97, -5.42, -11.7, 
##     -77.5, -80.2, -75.3, -71.4, -67.7, -60.1, -52.2, -48.4, -40.7, 
##     -33.6, -26.2, -19.1, -15.7, -11.8, -8.42, -2.45, 0.27, 10.3, 
##     11.1, 11.7, 11.2, 10.6, 9.8, 5.86, -44.1, -38.5, -25.5, -22.2, 
##     -16.9, -14.1, -14.3, -15.4, -18.5, -22.2, -30.8, -33, -42.8, 
##     -44.6, -42.4, -40.8, -38.5, -32.6, -29.6, -24.5, -22, -14.1, 
##     -11.5, -9.15, -26.3, -24, -22.1, -18.1, -16.1, -11, -9.73, 
##     -8.58, -7.75, -6.83, -6.76, -7.09, -7.53, -9.72, -10.6, -11.9, 
##     -13.1, -18.5, -22.6, -28.9, -30.8, -37.6, -40.7, -42.1, -43.4, 
##     -44.7, -46.7, -52.5, -43.7, -38.2, -31.9, -12.3, -10.5, -10.9, 
##     -14.6, -16.2, -17.9, -19.6, -23.1, -25, -26.9, -33.8, -36.1, 
##     -42.3, -45.6, -47.5, -48.7, -47.9, -62, -61.4, -60.4, -59.1, 
##     -55.1, -52.8, -50.2, -46.9, -35.3, -27.4, -7.88, -5.57, -3.66, 
##     0.15, 1.92, 5.16, 8, 9.19, 10.3, 11.4, 13.8, 15, 15.8, 16.1, 
##     16.5, 16.7, 16.8, 16.9, 17, 23.1, 22.9, 15.7, 14.2, 3.74, 
##     -4.67, -7.69, -15.8, -24.4, -25.6, -26.4, -26.7, -43.2, -42.8, 
##     -42.2, -41.5, -39.6, -38.7, -37.7, -34.4, -33.7, -33.8, -34.5, 
##     -35.1, -36.7, -37.7), yaw_arm = c(-161, -161, -161, -161, 
##     -161, -161, -161, -161, -161, -161, -161, -161, -161, -161, 
##     -161, -161, -161, -161, -161, -161, -161, -161, -161, -161, 
##     -161, -161, -161, -161, -161, -161, -161, -161, -161, -161, 
##     -161, -161, -161, -161, -161, -162, -162, -162, -162, -162, 
##     -162, -162, -162, -162, -162, -162, -162, -162, -162, -162, 
##     -162, -162, -162, -162, -162, -162, -162, -162, -162, -162, 
##     -162, -162, -162, -162, -162, -162, -162, -162, -162, -162, 
##     -162, -162, -162, -162, -162, -162, -162, -162, -162, -162, 
##     -162, -162, -162, -162, -162, -162, -162, -162, -162, -162, 
##     -162, -162, -162, -162, -163, -163, -163, -163, -163, -163, 
##     -163, -163, -163, -163, -163, -163, -163, -163, -163, -163, 
##     -163, -163, -163, -163, -163, -163, -163, -163, -163, -163, 
##     -163, -163, -163, -163, -164, -164, -164, -164, -164, -164, 
##     -164, -164, -164, -164, -164, -164, -164, -164, -164, -164, 
##     -164, -164, -164, -164, -164, -164, -164, -164, -164, -165, 
##     -165, -165, -165, -165, -165, -165, -165, -165, -165, -165, 
##     -165, 151, 151, 150, 150, 150, 150, 149, 149, 149, 148, 148, 
##     147, 147, 147, 147, 147, 146, 146, 146, 146, 145, 145, 144, 
##     144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 143, 143, 
##     143, 143, 143, 143, 143, 143, 143, 142, 10.7, 10, 8.83, 7.58, 
##     6.35, 3.93, 2.71, 1.47, -1.12, -3.72, -6.4, -9.17, -10.6, 
##     -13.4, -16.2, -18.9, -21.5, -22.8, -24.2, -25.6, -27.1, -33.4, 
##     -36.7, -38.4, -43.3, -45, -46.6, -48.3, -49.9, -51.7, -56.7, 
##     -60, -63.3, -65, -66.6, -68.2, -69.8, -71.4, -77.6, -80.6, 
##     -82.1, -83.6, -86.5, -88, -90.8, -96.2, -98.8, -103, -107, 
##     -111, -113, -118, -119, -120, -121, -123, -124, -125, -126, 
##     -127, -128, -130, -130, -131, -131, -131, -132, -132, -132, 
##     -132, -132, -132, -132, -131, -131, -130, -128, -127, -126, 
##     -124, -122, -120, -117, -115, -112, -107, -68.2, -56.3, -44.7, 
##     0.56, 7.25, 14.1, 17.6, 22.7, 25.3, 26, 26.1, 25.9, 25.5, 
##     25.3, 25.1, 25.3, 25.5, 26.3, 29.5, 32.6, 34.7, 41.7, 47.6, 
##     57.9, 131, 167, 175, -180, -169, -168, -168, -169, -169, 
##     -170, -170, -171, -173, -174, -175, -175, -176, -177, -178, 
##     180, 176, 174, 167, 164, 138, 132, 124, 105, 95.5, 77.2, 
##     69, 56.6, 51.4, 46.9, 26.8, 24.4, 22.2, 16.3, 14.7, 13.3, 
##     12.1, 11.5, 12, 16.1, 17.5, 20.2, 21.9, 23.5, 25.3, 26.9, 
##     28.9, 32.5, 34.3, 36.2, 40.1, 42.3, 60.7, 72.4, 81.1, 90.6, 
##     111, 57.5, 53.4, 43.4, 37.4, 28.9, 21.4, 16.5, 14.1, 9.28, 
##     6.69, 4.37, -1, -2.22, -3, -2.69, -0.82, 0.57, 5.6, 7.47, 
##     18.6, 23.7, 31.1, 33.9, 36.2, 38.9, 41.3, 44, 46.7, 54.5, 
##     74.7, 77.3, 79.9, 90.2, 95.5, 100, 105, 108, 110, 111, 113, 
##     115, 117, 118, 119, 121, 122, 125, 126, 125, 125, 124, 124, 
##     121, 119, 117, 113, 110, 105, 102, 99.5, 96.5, 93.4, 90.1, 
##     68.7, 65.1, 61.8, 58.4, 48, 44.5, 40.9, 34.3, 31.3, 25.1, 
##     21.7, 15.4, 12.6, 6.86, 1.07, -1.62, -3.99, -6.41, -8.16, 
##     -9.72, -11.1, -10.9, -6.4, 1.49, 14.1, 36.5, 39.4, 42.5, 
##     45.1, 53.5, 58.7, 61, 68.2, 74.2, 76.4, 80.1, 84.1, 85.9, 
##     90, 97.7, 99.6, 104, 105, 106, 107, 109, 111, 112, 113, 113, 
##     113, 113, 111, 110, 105, 103, 98.4, 93.6, 90.8, 85.2, 79.2, 
##     75.8, 72.8, 69.3, 72.5, 75.1, 79.9, 82.5, 84.7, 87, 89.2, 
##     91.6, 97.5, 102, 104, 109, 111, 122, 122, 122, 122, 121, 
##     120, 119, 117, 116, 115, 113, 105, 99.3, 96, 88.9, 84.8, 
##     66.2, 61, 55.9, 33.9, 13, -13.3, -16.2, -18.7, -20.5, -20.7, 
##     -17.9, -15.9, -13.9, -11.3, -8.72, -5.67, -2.18, 10.7, 15.7, 
##     22.2, 28.6, 36.4, 44.1, 66.9, 85.2, 90.4, 112, 115, 119, 
##     124, 130, 131, 132, 134, 135, 136, 136, 140, 141, 142, 142, 
##     142, 142, 142, 142, 141, 140, 118, 109, 52.6, 12.8, 1.91, 
##     -9.07, -16.9, -21, -22.4, -23, -24.3, -24.3, -24.3, -24.5, 
##     -24.8, -25.9, -177, -175, -174, -171, -160, -156, -136, -128, 
##     -119, -110, -100, -74.4, -61.2, -55.7, -43.9, -40.7, -35.6, 
##     -33.4, -29.1, -27.2, -25.5, -22.4, -21.2, -20.2, -18.5, -18.5, 
##     -19.2, -20.1, -22.1, -135, -135, -135, -134, -133, -130, 
##     -125, -123, -121, -119, -104, -101, -90, -78.9, -71.4, -57.2, 
##     -50.6, -44.2, -41.1, -25.7, -22.6, -2.52, -9.4, -11.7, -14.2, 
##     -17.2, -20.1, -25.9, -28.9, -40.7, -63.4, -53.5, -50.4, -46.8, 
##     -43.6, -36.7, -21.4, -17.6, -13.9, -9.54, 5.28, 10.8, 13.1, 
##     12.8, 11.7, 7.4, 4.53, -2.26, -6.04, -9.84, -18.4, -43, -49.8, 
##     -59.9, -71.6, -74.1, -76.2, -80.6, -82.5, -84.6, -88.4, -91.9, 
##     -95.4, -96.9, -98.2, -101, -165, -162, -153, -149, -146, 
##     -142, -137, -135, -132, -129, -121, -114, -101, -60.3, 0.58, 
##     27.3, 40.3, 44.3, 45.6, 46.7, 49.5, 51.1, 52.9, 58.9, 61, 
##     61.8, 62.6, 63.3, 64, 65, 65.4, 65.8, 66.3, 66.9, 68.5, 69.8, 
##     70.4, 71.6, 73.1, 74.8, 75.7, 77.6, 78.6, 85.1, 88.4, 90.2, 
##     91, 97, 97.6, 99.4, 100, 101, 101, 102, 102, 103, 103, 104, 
##     104, 105, 106, 106, 106, 106, 106, 106, 105, 105, 105, 105, 
##     105, 105, 105, 105, 105, 105, 105, 104, 104, 104, 104, 104, 
##     102, 101, 99.6, 97.5, 97.2, 97.6, 98.2, 98.9, 99.8, 100, 
##     100, 100, 102, 102, 102, 103, 104, 105, 106, 107, 108, 110, 
##     110, 112, 112, 114, 114, 115, 118, 119, 120, 122, 124, 126, 
##     128, 128, 130, 132, 134, 136, 137, 148, 150, 150, 151, 151, 
##     152, 148, 146, 139, 137, 134, 132, 127, 125, 123, 120, 119, 
##     117, 113, 112, 111, 110, 109, 106, 105, 102, 100, 99.6, 99, 
##     98, 97.5, 96.6, 96, 95.6, 95.8, 96, 97.1, 97.7, 98.4, 101, 
##     102, 105, 108, 111, 114, 119, 124, 126, 130, 132, 134, 136, 
##     138, 140, 145, 154, 159, 162, 164, 165, 167, 171, 172, 174, 
##     176, 177, 178, 179, 180, -177, -176, -172, -171, -171, -170, 
##     -170, -169, -168, -168, -168, -168, -167, -167, -167, -166, 
##     -119, -118, -118, -118, -118, -117, -105, -98.2, -95.6, -92.6, 
##     -89.6, -83.4, -76.8, -73.6, -70, -63.6, -60.5, -57.5, -48.8, 
##     -41, -38.4, -26.7, -23.8, -12.2, -165, -164, -164, -164, 
##     -163, -163, -162, -161, -160, -160, -159, -158, -157, -157, 
##     -156, -156, -155, -153, -153, -151, -150, -149, -149, -148, 
##     -148, -147, -147, -147, -146, -145, -144, -142, -140, -137, 
##     -137, -136, -134, -132, -131, -131, -130, -129, -129, -128, 
##     164, 165, 166, 167, 168, 168, 169, 169, 170, 170, 171, 172, 
##     172, 175, 176, 177, -180, -177, -128, -128, -128, -128, -128, 
##     -128, -128, -128, -128, -128, -128, -128, -128, -128, -128, 
##     -128, -128, -128, -129, -129, -129, -129, -129, -129, -130, 
##     -130, -131, -131, -131, -131, -131, -131, -132, -132, -132, 
##     -132, -132, -133, -133, -133, -133, -133, -133, -134, -134, 
##     -141, -142, -143, -146, -147, -148, -149, -150, -152, -153, 
##     -155, -157, -159, -161, -163, -166, -168, -170, -173, -175, 
##     -178, 179, 177, 173, 168, 167, 165, 163, 156, 156, 154, 149, 
##     148, 145, 145, 144, 142, 141, 141, 141, 141, 142, 143, 143, 
##     145, 146, 146, 147, 147, 150, 151, 159, 162, 164, 166, 168, 
##     173, 175, -178, -176, -171, -169, -167, -165, -163, -160, 
##     -156, -153, -152, -151, -150, -148, -148, -147, -147, -147, 
##     -147, -146, -146, -145, -144, -144, -143, -143, -143, -143, 
##     -142, -142, -142, -142, -141, -141, -140, -139, -139, -139, 
##     -139, -139, -138, -138, -137, -137, -136, -135, -131, -129, 
##     -129, -128, -128, -126, -130, -129, -129, -129, -129, -129, 
##     -129, -130, -131, -131, -132, -136, -137, -137, -138, -140, 
##     -142, -142, -143, -145, -146, -146, -148, -150, -151, -152, 
##     -155, -157, -157, -158, -160, -161, -163, -164, -163, -162, 
##     -158, -154, -138, -131, -122, -110, -106, -97.2, -93.5, -82.4, 
##     -72.6, -69.4, -61.5, -57.3, -55.1, -53.2, -47.1, -45.5, -41.1, 
##     -41.1, -41.5, -41.9, -42.5, -45.4, -2.49, -1.12, 0.08, 2.4, 
##     3.36, 5.01, 5.75, 7.3, 8.01, 9.64, 10.8, 11.9, 12.8, 13.5, 
##     14.7, 14.9, 14.8, 14.7, 14.4, 14, 13.5, 12.9, 10.8, 9.02, 
##     8.16, 7.27, 3.91, 2.17, 0.41, -4.31, -4.74, -5.67, -6.11, 
##     -6.57, -8.74, -10.3, -11.5, -13, -13.4, -14.4, -15.1, -15.8, 
##     -16.6, -19.5, -20.5, -21.6, -22.8, -29.2, -30.5, -32, -36.1, 
##     -42.2, -51.7, -65.9, -73.9, -110, -116, -137, -146, -148, 
##     -150, -151, -154, -156, -158, -159, -160, -161, -162, -162, 
##     -162, -159, -156, -153, -34.5, -34.4, -34.3, -34.2, -34.1, 
##     -33.7, -33.6, -33.2, -32.8, -32.4, -30.9, -30.3, -29.3, -28.5, 
##     -28, -27.9, -27.8, -28, -28, -28.2, -28.5, -28.6, -28.7, 
##     -28.8, -29.1, -30.1, -30.6, -32.5, -32.9, -33.6, -33.9, -34.2, 
##     -35.6, -37, -38.7, -49.3, -114, -123, -131, -138, -163, -175, 
##     -176, -177, 180, 179, 178, 177, 176, 177, 180, -151, -139, 
##     -113, -109, -105, -102, -98.5, -95.9, -88.8, -81, -78.1, 
##     -76.8, -74.1, -71.2, -66.5, -63.2, -53.6, -52.5, -50.1, -49.1, 
##     -48.3, -44.4, -44, -43.5, -43.1, -41.6, -41.3, -41, -40.2, 
##     -39.8, -39.5, -38.7, -38.5, -38.2, -38, -37.5, -36.4, -36, 
##     -34.9, -33, -32.2, -31.3, -29.3, -28.1, -24.3, -21.8, -19.7, 
##     -17.6, -17.1, -16.7, -16.4, -16.1, -15.3, -13.4, -12.5, -11.3, 
##     -9.15, -5.08, -3.79, -2.57, -1.05, 0.89, 6.26, 9.76, 19.8, 
##     57.7, 87.7, 97.2, 112, 117, 125, 133, 136, 138, 142, 146, 
##     148, 150, 152, 154, 156, 161, 162, 164, 168, -171, -164, 
##     -156, -148, -139, -112, -93.7, -88.8, -85.2, -74.5, -68.3, 
##     -66.9, -62.9, -60.1, -58.7, -57.3, -54.4, -51.5, -48.7, -47.3, 
##     -46.3, -44.5, -43.8, -43.2, -41.9, -41.2, -40.6, -40.3, -40.1, 
##     -38.8, -38.2, -37.9, -37.4, -37.2, -37, -36.6, -36.3, -36.1, 
##     -35.5, -34.6, -34.5, -34.3, -34.3, -34.5, -35.3, -36, -37.9, 
##     -43.1, -43.7, -44.4, -45.6, -47.1, -48, -50.3, -52.9, -55.9, 
##     -62.2, -70.1, -76, -79.3, -86, -93.4, -97.1, -101, -116, 
##     -127, -130, -131, -132, -133, -134, -134, -131, -123, -103, 
##     -99.3, -96.1, -89.5, -86.3, -76.6, -74.7, -72.7, -71.1, -67.8, 
##     -59.4, -29, -30.4, -30.7, -31.7, -32.5, -34, -34.2, -35.2, 
##     -36.3, -36.7, -38.3, -40.6, -45.1, -46.4, -47.8, -49.3, -52.5, 
##     -55.5, -56.9, -63.1, -65.4, -70.3, -71.5, -72.5, -73.9, -78.9, 
##     -81, -85.1, -84.8, -82.3, -76.7, -74.9, -73.4, -71.7, -68.8, 
##     -67.3, -66, -63.2, -62, -60.1, -58.1, -57.7, -56.4, -51.4, 
##     -49.3, -48.1, -44.4, -43.1, -42.1, -40.9, -39.8, -37.5, -31.6, 
##     -31.1, -30.6, -30.5, -30.5, -30.8, -30.9, -31.1, -31.3, -31.6, 
##     -31.8, -32, -32.3, -32.7, -32.9, -33.2, -33.2, -23.2, -21.7, 
##     -18.9, -17.6, -16.4, -15.2, -14.2, -13.4, -12.1, -11.8, -11.5, 
##     -11.2, -10.9, -10.6, -9.17, -8.84, -8.45, -8.1, -7.74, -7.48, 
##     -30.9, -30.3, -29, -27.7, -27.9, -28, -28.1, -28.2, -28.3, 
##     -28.5, -28.6, -28.8, -29, -29.1, -29, -28.9, -28.8, -28.8, 
##     -28.8, -28.7, -28.7, -28.7, -28.3, -27.9, -27.4, -26.8, -26.1, 
##     -25.2, -22.9, -20.4, -17.2, -13.6, -11.8, -10.3, 90.5, 90.3, 
##     90.7, 91.4, 95, 95.2, 95.3, 94.9, 94.7, 94, 93.4, 93.1, 92.7, 
##     92.4, 92, 91.9, 91.8, 91.7, 91.5, 91.2, 91.1, 90.9, 90.4, 
##     90.3, 90.2, 90.1, 90.1, 90.1, 90, 90.1, 90, 90.1, 90.1, 90.1, 
##     90, 89.7, 89.6, 89.5, 89.3, 89.1, 88.9, 88.8, 88.7, 88.7, 
##     88.6, 88.6, 88.5, 88.5, 88.3, 88.3, 88.3, 88.3, 88.6, 88.6, 
##     88.6, 88.6, 88.7, 89, 89.3, 89.7, 87.3, 87.3, 87.2, 87.2, 
##     87.2, 87.1, 87.1, 87.1, 87.1, 87.1, 87, 87, 87, 87, 87, 86.9, 
##     86.9, 86.9, 86.7, 86.6, 86.5, 86.4, 86.4, 86.3, 86.3, 86.2, 
##     86.1, 86.1, 86, 86, 85.9, 86, 85.9, 85.8, 85.8, 85.8, 85.7, 
##     85.7, 85.6, 85.6, 85.6, 85.6, 85.6, 85.6, 85.6, 85.6, 85.6, 
##     85.5, 85.5, 85.5, 85.4, 85.4, 85.4, 85.3, 85.3, 85.2, 85.1, 
##     85, 85, 84.9, 84.9, 84.7, 84.7, 84.6, 84.6, 84.6, 84.6, 84.6, 
##     84.6, 84.6, 84.5, 84.5, 84.6, 84.6, 84.6, 84.6, 84.6, 84.6, 
##     84.6, 84.6, 84.6, 84.6, 84.5, 84.4, 84.4, 84.4, 84.9, 85.7, 
##     86.2, 86.5, 87.3, 87.3, 87.3, 86.9, 86.7, 86.6, 86.4, 86.3, 
##     86.1, 86.1, 86.1, 86.3, 86.6, 86.8, 86.9, 87.1, 87.2, 87.4, 
##     87.5, 87.5, 87.6, 87.6, 87.6, 87.7, 87.3, 87.2, 87.1, 85.9, 
##     84.3, 80, 70.7, 66.9, 63.2, 61.2, 59.3, 52.8, 50.8, 48.6, 
##     46.5, 44.3, 39.9, 37.4, 35.1, 30, 26.9, 23.8, 20.2, 16.6, 
##     12.2, 2.18, -8.75, -18.6, -31.8, -38.7, -19.1, 78.6, 84.3, 
##     85.5, 87.9, 89.1, 90.1, 91.8, 93.2, 94.5, 94.7, 95, 95, 95, 
##     94.9, 94.7, 92.9, 92.1, 91.1, 86.4, 82.7, 80.5, 78.4, 73.7, 
##     71.3, 69, 66.5, 56.5, 51.4, 48.8, 43.1, 36.7, 29.8, 25.9, 
##     16.8, -0.91, -7.16, -48.6, -53.6, -58.4, -62.3, -65.2, -68, 
##     -67.6, -63, -59.7, -54.8, -51.6, -39.8, -35, -24.2, -18.7, 
##     -13.9, -3.41, 1.43, 9.71, 13.5, 17.4, 101, 101, 101, 102, 
##     102, 102, 102, 101, 100, 99.9, 99.1, 97.5, 94.1, 92.7, 87.9, 
##     79.4, 74.6, 69.1, 63.6, 60.8, 40.4, 24.8, 10.5, -7.69, -13.2, 
##     -19.2, -34.3, -42.8, -46.4, -49.4, -52.3, -52.3, -48.5, -45.1, 
##     -44.1, -21.6, -13.5, -9.26, -5.05, -1.02, 11.5, 15.6, 20, 
##     28, 39.1, 42.1, 45.3, -56, -56.3, -55.2, -48.9, -46.8, -37.6, 
##     -33.7, -29.6, -25.2, -6.19, 3.49, 7.8, 17.7, 22, 26.5, 30.8, 
##     38.5, 45.2, 51.1, 53.8, 56.8, 75.8, 78.4, 81.1, 83.6, 90.8, 
##     93.1, 98.9, 101, 102, 106, 107, 111, 111, 112, 112, 112, 
##     112, 111, 111, 110, 107, 106, 104, 101, 95.3, 88.1, 82.5, 
##     79.7, 66.5, 62.7, 58.7, 54.7, 50.3, 45.9, 41.7, 32.4, 27.4, 
##     23, 17.9, 13.2, 1.51, -16.6, -39.4, -51, -49.2, -45.5, -40.6, 
##     -30.6, -17.9, -8.05, 1.52, 10.8, 16, 29.3, 33.1, 36.9, 40.5, 
##     46.9, 49.7, 66.1, 68.5, 71.2, 76.6, 87.6, 97.2, 99.6, 102, 
##     106, 107, 109, 110, 111, 112, 114, 115, 116, 116, 116, 116, 
##     116, 117, 116, 116, 116, 115, 113, 106, 104, 101, 98.6, 93.2, 
##     79.7, 66.8, 57.8, 52.3, 31.7, 21, 9.65, 3.51, -2.38, -8.68, 
##     -20.4, -29.3, -40.5, -43.6, -46.6, -49, -51.7, -51.3, -50.4, 
##     -49.1, -47.5, -45.7, -43.6, 100, 102, 106, 108, 109, 110, 
##     113, 114, 114, 115, 116, 116, 116, 116, 116, 116, 116, 115, 
##     115, 114, 112, 110, 109, 106, 104, 99.2, 96.6, 90.7, 84.5, 
##     77.4, 61, 47.4, 38, 33.4, 28.9, 23.6, 18.5, 7.75, 2.14, -20.6, 
##     -53.5, -51.2, -49.8, -48, -40.7, -17.3, -2.64, 7.28, 21.8, 
##     26.6, 35.6, 40.3, 44.1, 54.6, 57.8, 69.3, 72, 74.6, 77.4, 
##     79.8, 82.4, 87.7, 90, 95, 97.5, 99.9, 106, 108, 109, 113, 
##     115, 117, 118, 118, 117, 117, 115, 114, 113, 110, 108, 104, 
##     101, 99.1, 96.2, 90.4, 79.7, 67.5, 59.2, 36, 26.4, 15.9, 
##     -2.23, -14.3, -20.3, -26.4, -31.8, -45.8, -49.2, -51.7, -53, 
##     -46.2, -40.2, -36.9, -32.8, -13.4, -7.89, -2.7, 7.21, 12.7, 
##     31.4, 39, 42.1, 48.8, 52.2, 69.8, 72.5, 83.4, 85.9, 103, 
##     104, 114, 115, 115, 114, 96.2, 93.7, 88.7, 85.9, 80.2, 77.3, 
##     74.2, 70.8, 63.8, 56.1, 39.7, 35.3, 26.8, 17.8, 12.8, 8.24, 
##     2.92, -2.25, -7.49, -12.7, -28.2, -33.3, -37.9, -45.8, -51.5, 
##     -50.2, -48.5, -46.2, -43.3, -36.4, -27.2, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, -165, -165, -165, -165, -165, -165, 
##     -165, -165, -165, -165, -165, -165, -165, -165, -165, -165, 
##     -166, -166, -166, -166, -166, -166, -166, -166, -166, -166, 
##     -166, -166, -166, -166, -166, -166, -166, -166, -166, -166, 
##     -166, -166, -166, -166, -166, -166, -167, -167, -166, -167, 
##     -167, -167, -167, -167, -167, -167, -167, -167, -167, -167, 
##     -167, -167, -167, -167, -167, -167, -167, -167, -167, -167, 
##     -167, -167, -167, -167, -167, -167, -167, -167, -167, -167, 
##     -168, -168, -168, -168, -168, -168, -168, -168, -168, -168, 
##     -168, -168, -168, -168, -168, -168, -168, -168, -168, -168, 
##     -168, -168, -168, -168, -168, -168, -168, -168, -168, -168, 
##     -169, -169, -169, -169, -169, -169, -169, -169, -169, -169, 
##     -169, -169, -169, -169, -169, -169, -169, -169, -169, -169, 
##     -169, -169, -169, -169, -169, -169, -169, -169, -169, -169, 
##     -169, -169, -169, -169, -169, -170, -170, -170, -170, -170, 
##     -170, -170, -170, -170, -170, -170, -170, -170, -170, -170, 
##     -170, -170, -170, -170, -171, -171, -171, -171, -171, -171, 
##     -171, -171, -171, -171, -171, -171, -171, -171, -171, -171, 
##     -171, -171, -171, -171, -171, -171, -171, -171, -171, -171, 
##     -171, -171, -171, -171, -171, -171, -171, -171, -171, -171, 
##     -171, -171, -171, -171, -171, -171, -171, -171, -171, -171, 
##     -171, -171, -172, -171, -172, -172, -171, -171, -171, -171, 
##     -171, -171, -171, -172, -172, -172, -172, -172, -172, -172, 
##     -172, -172, -172, -172, -172, -172, -172, -172, -173, -173, 
##     -173, -173, -173, -173, -173, -173, -173, -173, -173, -173, 
##     -173, -173, -173, -173, -174, -174, -174, -174, -174, -174, 
##     -174, -174, -174, -174, -174, -174, -174, -174, -174, -174, 
##     -174, -174, -174, -174, -174, -174, -174, -174, -174, -174, 
##     -174, -174, -175, -175, -175, -175, -175, -175, -175, -175, 
##     -175, -175, -175, -175, -175, -175, -175, -175, -175, -175, 
##     -176, -176, -176, -176, -176, -176, -176, -176, -176, -176, 
##     -176, -176, -176, -176, -176, -176, -176, -176, -176, -176, 
##     -176, -176, -176, -176, -176, -176, -176, -175, -175, -174, 
##     -172, -172, -171, -171, -169, -168, -164, -161, -158, -150, 
##     -43.3, 1.41, 3.82, 6.2, 7.92, 8.76, 10, 10.9, 11.2, 11.6, 
##     12, 12.2, 12.4, 12.7, 12.9, 13.4, 13.5, 13.4, 13.3, 12.6, 
##     12.2, 12.1, 12.1, 12.2, 12.5, 12.7, 12.9, 12.7, 12.6, 12.8, 
##     13.1, 13.9, 16, 18.9, 21.8, 23.6, 24.6, 25.8, 26.9, 34.4, 
##     36.3, 37.7, 51.6, 58.5, 63.2, 87.4, 93.8, 106, 112, 116, 
##     128, 131, 133, 135, 140, 144, 145, 151, 152, 152, 152, 151, 
##     150, 149, 144, 141, 135, 132, 122, 115, 108, 83.9, 69, 50.4, 
##     41.5, 38, 26.4, 24.2, 18.5, 16.3, 15.2, 13.3, 12.3, 10.1, 
##     9.02, 7.75, 6.42, 3.83, 2.69, 0.55, -2.13, -3.17, -4.4, -5.84, 
##     -7.25, -8.51, -10.2, -10.1, -7.3, -2.9, -1.66, 1.62, 3.68, 
##     4.33, 5.64, 9.61, 10.7, 16.2, 19.4, 25.8, 33.4, 43.5, 45.5, 
##     1.5, -2.82, -7.44, -23, -38, -46.8, -47.7, -46.7, -43.6, 
##     -41.5, -38.9, -29.5, -22.4, -8.56, -5.86, 3.81, 10.6, 14, 
##     20.5, 23.7, 29.7, 35, 39.7, 42.2, 44.3, 49, 51.4, 55.9, 60.2, 
##     62.4, 74.9, 76.8, 79.9, 81.3, 82.7, 85.5, 86.1, 86.5, 86.6, 
##     85.7, 83.5, 82, 80.4, 78.7, 76.7, 74.9, 68.4, 64.3, 62.3, 
##     60, 37.2, 34.6, 29.3, 26.8, 21, 17.7, 14.2, 10.9, 6.96, 2.53, 
##     -8.1, -34.7, -45.3, -51.1, -52.1, -52, -51.2, -46.4, -44.7, 
##     -42.4, -37.1, -26.6, -20.5, -17.2, -14.4, -11, -7.53, -4.03, 
##     0.12, 4.29, 8.43, 21.1, 25, 29, 44.6, 49.2, 51.2, 54.9, 56.6, 
##     58.3, 59.8, 61.3, 62.9, 64.6, 73.9, 76, 77.8, 79.8, 81.5, 
##     83.3, 86.6, 93.8, 96.2, 97, 97, 94.3, 90.9, 84.3, 79.2, 76.5, 
##     73.7, 71.1, 67.9, 65.2, 55.7, 52.3, 49, 40.4, 34.8, 22.1, 
##     18.3, 10.2, -17.8, -25.2, -38.1, -42.5, -45.7, -47.5, -48, 
##     -46.2, -40.1, -34.6, -21.9, -18, -6.9, 18.8, 34.2, 38.6, 
##     42.8, 49.4, 52.6, 55.2, 57.5, 62.5, 64.6, 66.8, 70.9, 74.6, 
##     76.5, 80.8, 83.3, 87.7, 89.5, 91.4, 93.2, 95.1, 103, 104, 
##     108, 109, 109, 108, 108, 107, 104, 97.5, 92.7, 87.6, 85.1, 
##     79.7, 71.3, 55.3, 52, 48.8, 33.8, 30.8, 27.4, 19.6, 15.7, 
##     6.53, -14.1, -19.3, -33.2, -40, -41.9, -42.8, -36.6, -31.2, 
##     -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78.3, 75.2, 72.4, 96.2, 
##     96, 95.8, 95.7, 95.6, 95.4, 95.3, 95.2, 95.2, 95.1, 95.2, 
##     95.2, 95.4, 95.7, 95.8, 95.8, 95.9, 96, 96, 96.2, 96.5, 96.5, 
##     96.6, 96.7, 96.8, 96.7, 96.7, 96, 95.5, 95.1, 93.2, 91.7, 
##     91, 90.6, 89.2, 88.9, 88.6, 88.5, 88.6, 88.6, 89.3, 90.4, 
##     90.7, 91.1, 91.4, 91.6, 91.6, 91.6, 91.6, 91.6, 91.1, -31.8, 
##     -33.3, -34.7, -38.6, -39.6, -39.9, -41.1, -41.5, -41.8, -41.8, 
##     -41.4, -40.7, -39.8, -34.6, -32.7, -6.96, -6.67, -6.36, -5.93, 
##     -5.36, -2.72, -3.04, -3.06, -3.03, -3.08, -3.02, -3.09, -3.21, 
##     -3.39, -4.17, -4.45, -6, -7.04, -11.3, -14.6, -21.5, -24.4, 
##     -29.6, -53.9, -51.1, -42, -36.8, -35.7, -34.8, -33.1, -32.3, 
##     -31.8, -31.7, -31.6, -31.5, -31.3, -31.7, -32.1, -32.5, -32.6, 
##     -32.4, -31.3, -29.5, -115, -103, -97.5, -88.6, -81.6, -78.8, 
##     -73.7, -69.3, -61.5, -59.9, -58.3, -53.7, -52.2, -49, -45.8, 
##     -39, -38.2, -36.7, -36.1, -35.6, -34.6, -51.3, -52.2, -52.9, 
##     -54.2, -54.7, -55.5, -56.2, -56.5, -56.8, -57.2, -57.9, -58.2, 
##     -58.7, -58.6, -48.1, -45.4, -35.1, -24, -20.2, -17.2, -7.43, 
##     -135, -135, -136, -138, -138, -139, -139, -140, -140, -140, 
##     -139, -139, -138, -138, -138, -137, -136, -134, -131, -132, 
##     -133, -134, -134, -134, -134, -134, -134, -133, -133, -133, 
##     -133, -133, -133, -133, -133, -133, -133, -133, -133, -133, 
##     -133, -134, -134, -134, -135, -135, -126, -125, -126, -126, 
##     -126, -126, -126, -126, -126, -126, -128, -130, 119, 119, 
##     118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 117, 117, 
##     117, 117, 117, 117, 117, 116, 116, 116, 116, 116, 116, 116, 
##     116, 116, 117, 116, 111, 111, 111, 110, 110, 109, 108, 107, 
##     107, 107, 106, 106, 106, 105, 105, 105, 105, 103, 102, 102, 
##     102, 102, 101, 99, 98.8, 98.7, 98.5, 98.1, 97.7, 97.6, 97.4, 
##     97, 96.9, 96.7, 96.5, 96.3, 95.8, 95.1, 94.9, 94, 93.8, 93.5, 
##     93.1, 92.9, 92.7, 92.5, 92.4, 91.5, 90.7, 90.3, 90.1, 89.9, 
##     88.2, 87.6, 86.9, 86.7, 85.2, 84.7, 84.3, 83.2, 83, 81.3, 
##     80.7, 80.1, 79.8, 79.5, 79.3, 79, 78.7, 78.3, 77.7, 77.4, 
##     76.5, 76.2, 75.9, 75.6, 75.2, 74.5, 74.2, 73.9, 73.5, 73.2, 
##     72.9, 72.3, 72.1, 71.8, 70.5, 69.5, 68.8, 68.1, 67.4, 67, 
##     66.3, 63.5, 62.5, 62.2, 60.6, 60.3, 60, 59.7, 59.4, 58.9, 
##     58.3, 58, 57.2, 56.9, 56.3, 55.6, 55.2, 52.9, 52.5, 52, 50.7, 
##     50.2, 49.3, 46.3, 45.9, 45.1, 43.9, 43, 42.6, 42, 41, 40.8, 
##     38.6, 38.2, 38, 37.8, 37.7, 37.6, 37.4, 37.4, 37.3, 37.3, 
##     37, 36.8, 36.5, 36.2, 34.9, 29.4, 28.1, 27.4, 26.7, 26, -3.5, 
##     -5.04, -5.46, -6.52, -7.67, -8.25, -9.67, -11.8, -14.8, -16.3, 
##     -17.2, -18.9, -19.8, -21.5, -23, -23.7, -24.3, -25.7, -26.3, 
##     -27.5, -28.1, -29.7, -30.2, -31.3, -31.6, -32.3, -32.6, -32.4, 
##     -32.1, -31.7, -31.6, -32.4, -32.8, -33.1, -33.9, -35.7, -36.6, 
##     -38.2, -38.8, -39.5, -40.1, -42.5, -46.7, -50.3, -50.9, -51.5, 
##     -52.5, -54.4, -55, -56.7, -59.2, -62.7, -63.1, -63, -63, 
##     -62.9, -63.4, -63.6, -63.8, -64.4, -65.4, -66.3, -67.1, -67.9, 
##     -68.6, -68.9, -69.5, -69.7, -70, -70.2, -71.3, -71.9, -72.3, 
##     -72.6, -73.3, -73.6, -73.9, -74.5, -74.7, -75, -75.6, -75.9, 
##     -76.9, -77.6, -77.9, -78.3, -78.8, -79.9, -80.2, -80.4, -80.6, 
##     -81.1, -82.7, -82.8, -51.8, -50, -49.2, -48.5, -48.1, -47.2, 
##     -47.2, -47.1, -47.1, -47, -47, -47, -47, -47, -47, -47.1, 
##     -47.5, -48, -48.2, -49.4, -49.9, -50.4, -51.4, -51.7, -57.5, 
##     -57.8, -58, -58.4, -58.7, -59.5, -60.4, -60.5, -60.6, -60.8, 
##     -60.9, -61, -61, -61.1, -61.1, -61.2, -61.4, -61.9, -62, 
##     -62.2, -62.5, -63.1, -63.4, -63.6, -63.9, -64.5, -65.1, -65.7, 
##     -66.1, -66.3, -66.5, -66.6, -66.8, -66.8, -66.8, -66.7, -66.7, 
##     -66.7, -66.7, -66.8, -67, -67.1, -67.5, -67.9, -68, -68.1, 
##     -68.2, -68.6, -68.7, -68.9, -69, -69.7, -71.1, -71.6, -71.8, 
##     -71.9, -72, -72.1, -72.2, -72.4, -72.5, -72.5, -72.5, -72.6, 
##     -72.7, -72.8, -73.2, -74, -74.7, -76.4, -77.8, -78.6, -87.5, 
##     -89.7, -92.2, -96.6, -98.8, -101, -103, -113, -113, -114, 
##     -116, -116, -116, -116, -117, -117, -117, -117, -117, -118, 
##     -119, -119, -119, -118, -118, -118, -118, -118, -118, -118, 
##     -118, -118, -119, -119, -119, -119, -119, -119, -119, -119, 
##     -119, -119, -119, -119, -119, -119, -119, -119, -9.39, -4.91, 
##     -3.16, 1.58, 1.85, 1.96, 1.93, 1.81, -1.15, -2.08, -3.03, 
##     -4.11, -5.06, -6.14, -7.4, -8.69, -13.7, -20.6, -44.7, -52.1, 
##     -55.6, -59.2, -65.7, -68.6, -74.5, -80.4, -89.2, -92.1, -102, 
##     -105, -107, -113, -114, -118, -120, -120, -120, -119, -119, 
##     -118, -116, -114, -110, -104, -96.6, -14.2, -18.9, -23.3, 
##     -26.5, -40.7, -43.2, -46, -57.8, -60.1, -64.1, -70.7, -72.8, 
##     -77, -78.8, -80.8, -83, -87.1, -89.4, -97.1, -102, -103, 
##     -107, -107, -106, -105, -103, -102, -100, -96.5, -94.7, -90.6, 
##     -88.8, -78.6, -76.5, -74.6, -68.1, -66.1, -63.8, -59.7, -53.3, 
##     -49.1, -47.1, -39.8, -26.4, -20.6, -18.6, -8.56, -3.38, -0.88, 
##     1.21, 4.12, 4.82, 5.04, 4, -0.09, -2.72, -5.68, -7.25, -10.6, 
##     -12.1, -22.8, -28.7, -31.5, -34.4, -39.6, -42, -47.1, -52, 
##     -54.4, -58.6, -69.3, -76.9, -88.5, -89.8, -91.2, -95.6, -101, 
##     -102, -103, -99.2, -91.8, -89.6, -87.4, -85.3, -81.1, -79.2, 
##     -73.6, -71.8, -59.1, -51.8, -43.3, -40, -36.6, -34.9, -29.8, 
##     -28.1, -21.4, -3.18, -0.61, 1.59, 5.48, 6.81, 10.6, 10.9, 
##     7.97, 3.11, 1.41, -0.05, -1.83, -3.64, -7.38, -9.35, -11.8, 
##     -13.9, -24.9, -31.1, -35.1, -36.9, -38.8, -40.6, -42.4, -44.1, 
##     -45.8, -49.3, -52.7, -54.3, -69.1, -77.7, -79, -83.2, -86.1, 
##     -88.9, -90.5, -91.8, -94.9, -95.6, -95.8, -95.2, -94.5, -89.5, 
##     -88, -84.6, -83, -81.2, -79.6, -72.3, -59.6, -50.1, -39.2, 
##     -34.8, -32.8, -30.5, -21, -17.1, -15.1, -13.4, -11.3, -8.61, 
##     -0.75, 1.61, 6.5, 8.22, 12.5, 14.4, 13.8, 13.1, 12, 11.2, 
##     9.98, 8.73, 7.47, 4.8, 3.45, 2.2, -4.06, -5.56, -7.44, -9.45, 
##     -13.9, -27.7, -30, -34.5, -38.9, -44.6, -48, -49.9, -51.3, 
##     -55.9, -62.1, -63.3, -64.6, -66.9, -68.1, -69.3, -73.2, -74.7, 
##     -77.4, -80.8, -84.1, -87.5, -90.4, -91.6, -94.1, -95.1, -97.6, 
##     -98, -98.2, -98.1, -97.4, -96.7, -95.9, -94.9, -92.5, -91.3, 
##     -88.4, -86.8, -83.6, -81.9, -78.4, -72.8, -71, -69.2, -63.6, 
##     -61.6, -59.5, -51.6, -49.6, -47.6, -44, -40.1, -35, -30.1, 
##     -28.5, -27.2, -25.9, -17.8, -14.9, -18.5, -23.1, -27.6, -31.7, 
##     -46.8, -49.7, -50.9, -53.6, -56.2, -57.5, -59.2, -60.5, -62, 
##     -63.3, -66.4, -67.9, -74.2, -77.4, -82.1, -83.7, -94.2, -96, 
##     -99.1, -100, -101, -101, -99.8, -99, -97.1, -94.5, -93.2, 
##     -91.5, -89.9, -86.3, -84.3, -80.2, -78.4, -74.5, -70.7, -68.6, 
##     -64.6, -62.8, -60.7, -58.9, -56.9, -55, -51.3, -49.4, -36, 
##     -34, -30.1, -8.74, -2.91, -1.93, -1.13, -0.56, 0.66, 0.97, 
##     1.3, 2.84, 3.17, 3.99, 4.32, 5.13, 5.61, 8.56, 10.3, 10.9, 
##     11.4, 13.9, 15.4, 16.7, 18.5, 19.6, 22.2, 23.6, 28.5, 31, 
##     33.8, 34.5, 35.1, 34.7, 30.8, 15.8, 11.7, 6.59, -2.06, -5.95, 
##     -9.65, -13, -21.8, -25.5, -27.7, -28.7, -29.6, -30.3, -32.2, 
##     -33.3, -34.1, -35.9, -35.4, -33.7, -32.4, -31.7, -30.5, -29.9, 
##     -29.4, -28.7, -27.3, -27, -26.5, -26.4, -26.3, -26.2, -25.7, 
##     -25.5, -25.4, -25.1, -24.9, -24.6, -24.2, -23.7, -22.5, -21.8, 
##     -19.7, -18.5, -17.2, -15.9, -13.1, -9.56, -8.58, -7.82, -7.01, 
##     -6.29, -4.53, -3.93, -3.91, -4.02, -4.25, -4.56, -5.03, -4.79, 
##     -4.6, -4.45, -4.9, -5.16, -5.64, -5.65, -5.47, -5.67, -5.92, 
##     -6.25, -6.63, -9.16, -15.2, -3.22, 1.02, 5.01, 8.95, 10.6, 
##     12.4, 13.8, 14.9, 15.7, 13.6, 10.8, 9.71, 8.49, 7.28, 5.77, 
##     1.16, -0.22, -3.82, -9.6, -11.7, -16.1, -80.5, -75, -69.2, 
##     -66.4, -54.3, -48.9, -41.1, -38.6, -36.2, -31, -28.4, -25.3, 
##     -22.2, -11.4, -3.64, 1.98, 3.76, 5.07, 5.74, 5.81, 5.13, 
##     3.55, 2.54, 1.62, 0.5, -0.8, -4.57, -6.02, -7.79, -9.28, 
##     -51.6, -51.6, -51.5, -51.4, -51.4, -51.6, -51.6, -51.7, -51.9, 
##     -52, -52.3, -52.8, -52.9, -53.1, -53.8, -54, -54.9, -55.3, 
##     -55.5, -55.9, -56.3, -56.5, -57.2, -83, -83.1, -82.8, -82.6, 
##     -82.5, -82.5, -82.5, -82.5, -82.6, -82.4, -81.3, -81, -80.3, 
##     -74.4, -67.4, -65.2, -63.9, -60.3, -55.6, -54.7, -52.8, 22.7, 
##     21.8, 20.7, 18.5, 16.3, 12.2, 8.6, 7.43, 5.79, 4.31, 1.8, 
##     1.39, 1, 0.19, -0.2, -0.64, -1.15, 116, 116, 115, 115, 115, 
##     115, 115, 115, 115, 114, 114, 113, 112, 112, 112, 111, 111, 
##     111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -41.4, -35.7, 
##     -32.5, -28.9, -16.6, -12.3, 15.4, 30.1, 38.3, 49.7, 62.4, 
##     78, 87.9, 92.5, 107, 105, 103, 102, 99.8, 85.6, 79.6, 70.1, 
##     66.7, 55.2, 42.3, 37.8, 32.8, 22.8, 16.9, 11.5, -0.86, -13.8, 
##     -26.1, -31, -42.3, -45.2, -48.1, -53.3, -55, 53.5, 55.9, 
##     63.4, 65.8, 70.6, 72.9, 75.4, 77.9, 84.4, 90.6, 92.7, 94.8, 
##     99.6, 101, 103, 104, 104, 105, 109, 109, 109, 109, 27.8, 
##     41.3, 43.7, 45.9, 47.7, 54, 56.1, 60.1, 66.1, 68, 70.2, 72.3, 
##     74.2, 77.8, 81.5, 83.3, 84.9, 86.7, 88.4, 90, 92.7, 94, 94.9, 
##     95.9, 96.8, 97.6, 98.3, -15.9, -12.9, 3.59, 5.63, 7.97, 14.8, 
##     17.1, 19.1, 23.5, 25.7, 27.4, 31.6, 33.5, 37.3, 39.2, 41.1, 
##     43.1, 45.2, 47.1, 54.7, 58.1, 68.2, 71.2, 75.5, 76.9, 89.5, 
##     89.5, 89.4, 89.4, 89.3, 89.1, 89.1, 88.8, 88.4, 88.4, 88.4, 
##     88.3, 88.3, 88.3, 88.3, 88.3, 88.3, 88.3, 88.2, 88.2, 88.1, 
##     88.1, 88, 87.8, 87.8, 87.6, 70.8, 71, 72.8, 74.3, 75.5, 77.7, 
##     81.5, 82.6, 85, 86.3, 87.6, 88.7, 93.3, 93.6, 94.2, 94.7, 
##     95.3, 95.7, 96.1, 96.2, 96.4, 96.4, 96.4, 96.3, 46.8, 47.5, 
##     47.7, 47.7, 47.7, 51.2, 52.8, 53.8, 54.9, 58, 58.7, 59.4, 
##     60.8, 61.3, 61.7, 62, 63.1, 63.7, 64.2, 65, 66.9, 68.3, 68.6, 
##     69.7, 58.8, 55.7, 52.5, 49.7, 48.6, 47.7, 45.8, 43.6, 41.6, 
##     40.7, 40, 39.5, 38.9, 38.7, 38.7, 39, 39.4, 41.8, 42.4, 43.2, 
##     44.1, 44.5, 44.9, 45.4, -53.8, -61.5, -69.2, -73.5, -75.4, 
##     -81.7, -86.3, -88.6, -99.1, -101, -104, -105, -107, -109, 
##     -112, -112, -111, -111, -110, -99.8, -97.5, -95.2, -90.2, 
##     -87.7, -82.2, -72.9, -24.8, -37.5, -49.3, -58.9, -66.4, -70.2, 
##     -81.8, -85.8, -96.1, -99.2, -105, -108, -111, -121, -131, 
##     -132, -26.8, -65.6, -86.6, -158, -166, -179, 179, 178, 178, 
##     178, 177, 177, 176, 176, 176, 177, 177, 177, 178, 180, 66.2, 
##     62.5, 47.7, 35.9, 27.9, 24, 11.5, 3.36, -15.7, -16, -12.6, 
##     -4.44, 5.36, 9.05, 24.3, 40, 43.8, 57.4, 60.7, 120, 127, 
##     131, 133, 138, 141, 142, 143, 145, 146, 147, 149, 150, 150, 
##     150, 150, 150, 146, 142, 140, 137, 135, 132, 126, 122, 109, 
##     105, 100, 61.6, 152, 152, 53.4, 57.2, 69.5, 71.4, 73.3, 74.9, 
##     77.6, 78.7, 78.4, 74.6, 67.4, 65, 62.3, 59.7, 57.3, 54.9, 
##     50.4, 48, 43.3, 41.2, 36.6, 34, 29.6, 27.5, 25.4, 21.3, 17.6, 
##     15.9, 13.9, 12.1, 9.89, -103, -106, -107, -109, -111, -113, 
##     -116, -116, -117, -119, -120, -120, -121, -122, -123, -123, 
##     -124, -125, -126, -126, -128, -128, -128, -129, -130, -131, 
##     -131, -133, -133, -134, -135, -135, -136, -137, -138, -138, 
##     -137, -137, -136, -134, -132, -130, -128, -124, -118, -112, 
##     -104, -99.3, -86.9, -68.8, -36.8, -26.5, -8.91, 8.06, 19.2, 
##     22, 24.9, 29.5, 33.3, 36.1, 38.2, 38.4, 38.4, 36.7, 36, 35.4, 
##     34.7, 33, 30.1, 22.3, 12.7, -28.1, -105, -145, -146, -147, 
##     -149, -149, -150, -150, -151, -151, -152, 20.9, 21.8, 22.6, 
##     23.2, 25.3, 26.1, 26.5, 26.5, 26.5, 26.8, 27.2, 27.6, 28.1, 
##     29.6, 30.9, 31.8, 32.7, 39.1, 41.7, 48.5, 53, 66.6, 75.1, 
##     86.8, 100, 112, 125, 156, 166, 169, 171, 175, 178, -180, 
##     -179, -178, -177, -177, -177, -177, -176, -177, -177, -178, 
##     -180, 180, 179, 176, 167, 161, 157, 152, 125, 112, 94.4, 
##     63.1, 39.7, 26.4, 22.2, 12.6, 10.7, 8.52, 0.29, 1.69, 5.71, 
##     13.8, 17.6, 19.4, 21.8, 32.7, 35.7, 39, 46.6, 56, 60.9, 73.4, 
##     94.5, 108, 121, 126, 130, 134, 137, 140, 144, 146, 152, 153, 
##     154, 150, 149, 145, 141, 130, 126, 120, 59.4, 53.9, 42.6, 
##     37.5, 29.4, 21.8, 11.4, 8.07, 4.84, -1.97, -5.62, -8.8, -15.9, 
##     -19.2, -21.8, -24.4, -24.1, -22.7, -20.6, -17.8, -14.9, -0.88, 
##     2.78, 6.76, 19.1, 37.3, 41.6, 51.6, 62.2, 72.4, 88.3, 97.1, 
##     105, 128, 129, 131, 132, 134, 135, 134, 131, 129, 123, 118, 
##     114, 106, 102, 82.6, 77.4, 72.5, 51.9, 46.9, 37.1, 32.5, 
##     27.8, 18.4, 13.8, 8.66, 3.76, -6.23, -10.8, -16, -29.7, -34.2, 
##     -38.4, -39.6, -32.6, -28.6, -24, -19.2, -14.4, 1.74, 13.7, 
##     121, 118, 102, 91.7, 81, 75, 63.4, 57.6, 45.3, 28.6, 23.1, 
##     3.73, -9.57, -22, -26.1, -33.9, -37.5, -44.1, -43.2, -41.2, 
##     -38.6, -35.5, -24.2, -5.9, 9.07, 13.9, 24.3, 28.8, 66.2, 
##     74.7, 94.7, 103, 108, 111, 114, 116, 121, 124, 125, 128, 
##     128, 129, 129, 128, 127, 126, 123, 121, 117, 114, 95.5, 90.9, 
##     86.4, 76.1, 65.2, 48.5, 42.9, 37.7, 32.3, 27, 16.2, 5.06, 
##     -0.23, -17.2, -28.5, -34, -47.7, -50.9, -52.1, -50.2, -41.1, 
##     -29.8, -25.7, -12.3, 29.5, 38.7, 47.8, 60.7, 65.2, 77.3, 
##     90.2, 93.6, 96.5, 99.6, 103, 106, 122, 123, 126, 127, 129, 
##     129, 130, 129, 126, 122, 117, 82.7, 66.4, 39.2, -17.5, -22.9, 
##     -28.5, 116, 118, 119, 126, 126, 127, 126, 126, 124, 120, 
##     118, 116, 114, 106, 103, 97.1, 90.1, 65.1, 59.4, 53.2, 34.6, 
##     28.5, 22.2, 16.2, 10.6, -17.4, -28.2, -38.6, -44.2, -49.2, 
##     -54.1, -61.6, -65.3, -63.8, -61.5, -55.4, -52.2, -40, -35.7, 
##     -26, -20.7, -9.74, 8.87, 15.6, 27.9, 33.8, 39.9, 51.1, 56.6, 
##     95.4, 103, 115, 117, 124, 125, 127, 127, 126, 126, 124, 120, 
##     116, 113, 110, 106, 84.5, 79.6, 73.7, 68, 61.8, 49.6, 44.2, 
##     32.6, 20.9, 10.2, 0.33, -13.9, -18.4, -23.5, -27.8, -32.5, 
##     -40.2, -43.5, -46, -47.8, -46, -24.2, -21.9, -11.2, 17.3, 
##     21.5, 25.2, 28.5, 31.9, 37.9, 41, 43.9, 61.1, 63.3, 65.9, 
##     68, 72.6, 81.5, 47.3, 53.4, 56.5, 62.2, 65.3, 67.8, 76, 80.9, 
##     86, 95.4, 97.2, 99.3, 101, 103, 106, 107, 109, 110, 112, 
##     113, 114, 114, 114, 114, 114, 111, 110, 110, 110, 110, 110, 
##     110, 111, 111, 112, 112, 113, 113, 113, 114, 114, 114, 114, 
##     115, 115, 115, 114, 114, 114, 114, 114, 115, 115, 115, 115, 
##     115, 115, 115, 115, 115, 115, 115, 116, 116, 116, 116, 117, 
##     117, 117, 117, 117, 117, 117, 117, 117, 116, 116, 116, 116, 
##     116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
##     115, 115, 114, 114, 113, 112, 112, 111, 110, 105, 104, 103, 
##     96.8, 94.7, 92.2, 89.5, -60, -33.7, -28, -17.2, -12.1, -6.52, 
##     13.6, 18.8, 23.2, 28, 32.4, 36.4, 40.2, 44.2, 47.6, 54.2, 
##     57.3, 64, 73.9, 76.9, 86.6, 98.9, 102, 106, 108, 110, 112, 
##     114, 116, 117, 119, 120, 120, 120, 120, 119, 115, 113, 106, 
##     93.7, 90, 78.2, 74.1, 64.2, 58.5, 47.1, 41.4, 28.4, 21.9, 
##     14.8, 8.37, -17.1, -24.2, -36.9, -42.9, -48.8, -59, -67.1, 
##     -74.7, -78.4, -86, -96.3, -99.6, -102, -105, -103, -92.4, 
##     -63.8, -59.4, -54.1, -48.7, -37.8, -27.2, -22.1, -16.8, -11.8, 
##     3.13, 12.6, 17.2, 25.7, 30, 33.5, 51.6, 58.5, 61.5, 64.7, 
##     101, 97.5, 93.8, 74.3, 69.9, 65.1, 55.1, 44.3, 38.3, 21.4, 
##     15.4, -0.56, -12, -17.2, -28.6, -33.7, -38.7, -43.1, -59.5, 
##     -70.2, -73.8, -80.6, -96.8, -101, -99.3, -97.1, -91.7, -88.6, 
##     -81.2, -77.2, -68.7, -48.1, -25.4, -19.9, -14.2, -8.79, -3.08, 
##     2.38, 7.49, 12.1, 17, 25.2, 32.7, 42.7, 49.6, 56.9, 64.2, 
##     68.4, 72, 79.6, 83.1, 94.6, 99, 101, 111, 112, 114, 116, 
##     116, 118, 118, 118, 119, 118, 117, 116, 112, 107, 95.1, 91.9, 
##     80.3, 71.7, 62.1, 51.6, 39.9, 6.08, -3.55, -8.82, -14.2, 
##     -29.1, -39, -51.7, -62.7, -73.4, -76.7, -87.5, -98.2, -103, 
##     -105, -104, -101, -98.5, -93.2, -90.4, -87.6, -67.7, -58.2, 
##     -52.9, -47.5, -30.2, -6.82, -1.16, 4.86, 9.89, 15.4, 20.1, 
##     29.7, 34, 50.7, 58.7, 62.5, 76.5, 92.5, 95.6, 101, 111, 112, 
##     116, 118, 118, 117, 111, 108, 106, 103, 96.8, 76.5, 71.4, 
##     54.2, 42.3, 36.6, 30.7, 24.6, 18.3, 7.31, 2.51, -2.87, -8.02, 
##     -29.5, -34.7, -45, -54.2, -73.9, -84.6, -88, -91.5, -94.8, 
##     -101, -104, -107, -102, -99.5, -96.8, -89.8, -86.4, -77.9, 
##     -73.5, -63.4, -58, -46.7, -34.4, -16.3, -4.78, 19.9, 74.2, 
##     63.8, 58.6, 52.9, 47.4, 35.9, 29.9, 24.2, 13.2, 7.8, -8.15, 
##     -19.3, -24.6, -30.1, -35.8, -45.4, -54.8, -63.2, -70.8, -74.6, 
##     -85.7, -99.5, -106, -109, -111, -112, -112, -110, -108, -85.4, 
##     -81.6, -77.8, -69, -59.1, -48.6, -42, -23.7, -16.4, -10.5, 
##     -3.79, 9.07, 14.5, 20.2, 49, 63.3, 66.8, 74.2, 78, 85.7, 
##     99.9, 103, 107, 113, 117, 117, 118, 116, 116, 115, 112, 110, 
##     108, 105, 94.9, 79.1, 69.9, 44.5, 38.3, 32.8, 26.4, 8.9, 
##     3.38, -8.36, -20.7, -33.7, -39.8, -20.8, -14.1, -0.02, 13.4, 
##     19, 27.9, 33.1, 44.7, 47.8, 53.6, 56.1, 58.5, 62.7, 69, 72.6, 
##     78.3, 92.6, 94.2, 95.7, 98.3, 99.4, 102, 104, 105, 106, 107, 
##     107, 108, 108, 107, 103, 98.7, 91.3, 88.4, 83.1, 80.4, 74.4, 
##     70.9, 56.6, 52.8, 49.4, 39.4, 29.4, 21.9, 17.8, 13.7, -1.37, 
##     -19.8, -30.5, -40.1, -41.6, -24.3, -2.71, 1.79, 11.9, 23, 
##     33.6, 42.5, 47.2, 50.5, 53.7, 59.3, 61.4, 63.5, 65.7, 67.6, 
##     73.5, 77.4, 83.3, 87.5, 89.4, 91.4, 98.3, 103, 104, 106, 
##     108, 109, 110, 111, 111, 109, 108, 104, 97, 94.1, 88.9, 73.7, 
##     65.9, 57.5, 53.5, 49.6, 23.3, 20.5, 9.01, -5.44, -10.9, -22.7, 
##     -26.5, -29.7, -31.7, -32.7, -30.4, -28.5, -23.5, -16.6, -7.66, 
##     -0.29, 4.13, 14.3, 25, 34.9, 47.7, 59.5, 66.4, 59.4, 56.3, 
##     53.4, 47.6, 44.2, 41.1, 29.7, 22.1, 13.2, 8.79, -1.5, -12.8, 
##     -25.2, -35.7, -39, -41.4, -42.7, -39, -35.1, -30, -27.1, 
##     -7.24, 1.04, 6.17, 16.1, 35.7, 43.3, 56.7, 71.4, 73.4, 75.4, 
##     79.1, 80.7, 87.3, 91, 92.9, 96.5, 98.4, 100, 105, 108, 109, 
##     109, 109, 106, 105, -33.5, -28, -24.6, -17.8, -11.9, -5.2, 
##     6.36, 10.5, 15.3, 19.5, 24.2, 29.2, 42, 52.8, 58.6, 61.3, 
##     63.6, 68.6, 70.7, 74.8, 77, 78.9, 80.8, 88.6, 93.6, 95.2, 
##     96.9, 99.9, 101, 102, 103, 106, 106, 107, 108, 108, 108, 
##     107, 107, 107, 108, 108, 108, 108, 108, 108, 109, 109, 110, 
##     110, 110, 110, 111, 111, 111, 111, 111, 111, 112, 112, 112, 
##     112, 112, 112, 112, 112, 112, 112, 113, 113, 113, 113, 0.76, 
##     5.73, 11.7, 17.5, 23.1, 28.5, 43.2, 47.9, 51.8, 58.4, 61.6, 
##     64.3, 72.9, 75.9, 79, 87.4, 93, 101, 105, 107, 110, 111, 
##     110, 110, 109, 107, -36.8, 5.27, 12.3, 18, 24.2, 30, 43.9, 
##     47.6, 53.9, 59.7, 62.7, 65.3, 70.6, 73.2, 75.9, 80.7, 85.8, 
##     88.6, 93.4, 97.8, 101, 102, 103, 103, 101, 96.7, 92.2, 86.3, 
##     83, 65.7, 60.4, 49.2, 43.5, 36.7, -20.5, -28.2, -44, -51.9, 
##     -70.8, -75.6, -93.1, -96.2, -98.8, -102, -102, -102, -100, 
##     -98.9, -96, -92, 109, 107, 103, 98.9, 91.4, 88.2, 82.1, 74.7, 
##     36.7, 32, 27.5, 16.4, 10.5, -8.86, -23.5, -77.6, -82.5, -84.7, 
##     -86.5, -87.1, -83.8, -82.3, -78.3, -75.5, -68.4, -49.9, -31.7, 
##     -12.9, -1.81, 3.81, 9.22, 15.8, 22, 33.4, 50.1, 55.6, 58, 
##     60.4, 65, 76.6, 87.8, 89.7, 91.9, 95.9, 105, 99.6, 95.6, 
##     87.9, 84.8, 59.9, 49.3, 44.5, 28.9, 23.9, 12.5, -13, -19.7, 
##     -27.3, 35.7, 39.8, 55.9, 60, 63.8, 66, 68, 70.2, 72.5, 74.7, 
##     76.9, 81.8, 88.8, 93.3, 95.3, 98.6, 100, 101, 102, 103, 104, 
##     104, 101, 99.9, 98.2, 96.2, 93.7, 88.2, -74.1, -70.3, -65.8, 
##     -41.2, -34.1, -27.5, -20.8, -14.6, -7.86, -1.44, 6.37, 35.1, 
##     38.6, 44.6, 49.8, 63.8, 66.2, 68.6, 73.4, 75.6, 80.5, 85.2, 
##     87.9, 101, 104, 106, 107, 108, 108, 107, 104, 102, 94.1, 
##     91.3, 88, 77.8, 74, 69.9, 65.3, 61.2, 56.1, 46.1, 41.7, 32.5, 
##     27.1, 16.4, -12.7, -26.1, -40.8, -52.6, -57.2, -60.8, -64.8, 
##     -68.3, -71.6, -76.9, -83, -83.3, -83.2, -82.2, -81.2, -71.9, 
##     -68.1, -36.7, -30.6, -18.7, -0.89, 5.59, 17.8, 34.2, 42.1, 
##     48.7, 51.8, 54.7, 60.4, 68.4, 78.9, 83.8, 91.1, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13.8, -12, 
##     -6.03, -3.69, 0.25, 3.68, 5.4, 6.69, 13.8, 14.8, 18.3, 19.9, 
##     20.7, 21.4, 22.1, 22.9, 24.8, 31.3, 33.6, 74.9, 77.3, 84.8, 
##     87.1, 92.3, 94.8, 97.3, 106, 117, 120, 129, 138, 152, 154, 
##     156, 157, 158, 164, 164, 165, 165, 165, 166, 167, 168, 169, 
##     174, 175, 178, -180, -179, -176, -175, -172, -171, -169, 
##     -128, -114, -102, -89.1, -83.7, -73.8, -69.7, -65.7, -62.1, 
##     -58.8, -55.2, -52.1, -36.2, -32.9, -29.4, -26, -17.6, -9.58, 
##     6.47, 14.6, 19.3, 25.4, 28.1, 29, 29.7, 30.2, 30.5, 28.7, 
##     27.4, 26.5, 21, 19.3, 14.8, 12.2, 6.83, 3.95, -3.77, -5.84, 
##     -14.2, -15, -16.7, -18.5, -19.4, -20.2, -21.2, -22.3, -23.4, 
##     -24.5, -30.4, -37.5, -39.6, -46, -56.4, -66.6, -88.1, -91.4, 
##     -94.2, -102, -108, -110, -110, -109, -99.8, -93.8, -87.6, 
##     -75.1, -72.1, -69, -63.6, -60.9, -55.9, -51.2, -48.9, -46.8, 
##     -44.9, -43.1, -39.4, -32.6, -27.7, -13.8, -9.73, 2.52, 6.76, 
##     10.6, 13.9, 21.5, 32.5, 36.2, 39.9, -20.5, -22.6, -23.5, 
##     -25.3, -26.2, -27.1, -27.8, -29.2, -29.8, -31.1, -32.4, -33.1, 
##     -33.9, -36.7, -41.2, -42.5, -47.5, -48.8, -51.5, -54.7, -56.6, 
##     -58.2, -67.4, -68.2, -68.6, -68.6, -68, 86.3, 91.5, 99.6, 
##     104, 104, 96.2, 33.1, 16.4, -4.28, -18.3, -19.2, -18.5, -18.5, 
##     -18.6, -18.5, -18.1, -18.1, -18, -18.2, -18.5, -19.3, -19.8, 
##     -20.4, -21.8, -22.1, -22.4, -22.8, -22.7, -25.1, -26.7, -28.6, 
##     -34.9, -37, -38.7, -40.1, -42.3, -43.7, -44.2, -44.7, -45.6, 
##     -46, -46.4, -46.6, -47.1, -47.1, -47.1, -41.9, -40.7, -39.6, 
##     -35.2, -32.1, -31.6, -30.6, -27.5, -24.5, -20.3, -17.9, -14.8, 
##     -5.04, -2.25, 2.79, 9.42, 13.5, 17.9, 23.4, 30, 37.4, 46.5, 
##     67.6, 78.3, 121, 127, 130, 133, 135, 138, 140, 143, 137, 
##     122, 71.2, 13.4, -8.52, -11.4, -13, -14.6, -14.8, -14.7, 
##     -12.4, -10.1, -9.48, -8.2, -7.67, -7.15, -45.9, -50.2, -49.7, 
##     -49.2, -48.7, -46.1, -44.3, -39.1, -35.8, -34.3, -32.9, -32.2, 
##     -31.5, -30.8, -29.4, -28.7, -27.9, -24.4, -19, -16.8, -4.36, 
##     -1.42, 9.14, 21.2, 45.3, 81.4, 95.4, 116, 146, 152, 154, 
##     163, 168, -80, -39.8, -24.7, -22.9, -4.81, -5.2, -5.81, -6.2, 
##     -6.57, -7.18, -7.45, -7.84, -8.31, -10.1, -10.9, -12.6, -13.6, 
##     -15.6, -16.7, -17.6, -18.5, -22, -22.3, -22.7, -22.9, -23.2, 
##     -23.4, -23.5, -23.8, -24.3, -24.6, -19.5, -18.1, -15.9, -13.3, 
##     -10.2, 2.75, 5.86, 9.47, 14.2, 28, 48.6, 62.9, 77.2, 99.6, 
##     107, 111, 116, 118, 118, 115, -8.05, -15.8, -20.7, -19.9, 
##     -19.4, -18.4, -17.9, -16, -13.6, -11.2, -9.68, -9.18, -8.02, 
##     -7.52, -7.3, -7.17, -7.14, -7.5, -7.91, -8.37, -9.15, -9.35, 
##     -11.2, -11.8, -13.4, -14.5, -14.9, -15.3, -15.8, -19.3, -23.8, 
##     -24.8, -25.6, -26.5, -27.1, -27.8, -28.3, -29.9, -30.2, -30.3, 
##     -30.3, -30.1, -29.5, -29.1, -28.5, -27.8, -26.1, -25, -24.7, 
##     -23.9, -15.3, -1.83, 5.56, 11.6, 16.4, 19.2, 21.9, 25.3, 
##     29, 33.5, 38.7, 51.7, 59.1, 66.8, 74.9, 97.4, 103, 107, 110, 
##     113, 111, 107, 102, 93.8, 80.7, 25, 11.4, 3.69, -2.17, -5.8, 
##     -9.6, -10.5, -10.9, -10.8, -2.76, -1.93, -1.91, -2.08, -2.38, 
##     -2.97, -3.38, -3.87, -4.41, -4.92, -5.49, -5.93, -6.35, -6.74, 
##     -7.32, -7.66, -8.41, -9.83, -10.9, -11.4, -12.4, -13.5, -14.1, 
##     -14.7, -16.1, -17, -19.9, -20.8, -21.9, -23.8, -27.4, -28.2, 
##     -29.6, -30.4, -31.1, -31.9, -32.6, -33.3, -34, -36.4, -36.9, 
##     -37.1, -37.4, -37.1, -35.6, -34.5, -31.8, -30.1, -25.8, -24.3, 
##     -4.52, -0.68, 9.14, 13.2, 40.2, 65.8, 81, 107, 123, 135, 
##     141, 142, 144, 145, 146, 147, 148, 148, 148, 146, 138, -7.69, 
##     -14.3, -16.7, -17.7, -18, -17.6, -14, -12.5, -21.3, -19.7, 
##     -18.4, -17.2, -13.9, -8.12, -6.87, -5.32, -4.11, -3.26, -3.18, 
##     -3.16, -3.45, -3.4, -3.31, -2.84, -2.79, -2.77, -2.83, -3.08, 
##     -3.53, -3.76, -4.04, -4.5, -4.62, -6.78, -6.5, -6.48, -6.75, 
##     -9.41, -9.92, -12, -14, -14.9, -17.8, -24.1, -26.2, -29.2, 
##     -30.3, -32.6, -36.2, -40.7, -43.7, -64.7, -63, -59.1, -57.1, 
##     -55.3, -49.3, -48, -45.4, -42.7, -40.3, -37.4, -36.5, -35.3, 
##     -32.3, -30.7, -28.9, -27.2, -25.2, -22.9, -17, -13.5, -9.78, 
##     -5.93, -2.28, 6.75, 11.6, 16.8, 22.4, 29.2, 37.4, 46.2, 54.9, 
##     54.9, 59.4, 58.1, 54.7, 49.6, 38.9, 18.6, 2.96, -4.58, -10, 
##     -14.2, -14.7, -16, -16.9, -17.4, -19, -19.4, 34.6, 38.1, 
##     39.5, 40.2, 40.8, 41.4, 43.5, 44.1, 45.3, 45.5, 45.8, 46.3, 
##     47.5, 48.6, 49.2, 50.7, 51.4, 55.2, 56.3, 57.6, 59.1, 60.5, 
##     68, 70.1, -18.6, -16.4, -14.7, -12.1, -11.7, -11.2, -11, 
##     -11.8, -12.2, -12.6, -13.1, -13.4, -13.7, -14.9, -15.2, -15.5, 
##     -15.4, -15.2, -14.6, -51.7, -54.3, -56, -56.9, -55.1, -51.6, 
##     -47.9, -47, -45.8, -45.1, -44.5, -43.5, -43.1, -42.7, -42, 
##     -41.7, -41.5, -41.1, -41.2, -41.1, -40.7, -40.5, -40.2, -39.4, 
##     -38.9, -38.4, -34.1, -31.9, -31, -24.6, -17.5, -14.1, -2.99, 
##     1.16, 5.63, 10.3, 12.4, 14, 16.6, 16.6, 16.1, 14.7, 13.7, 
##     11.4, 10, 5.24, -0.02, -1.99, -4.18, -6.46, -16.7, -105, 
##     -105, -104, -103, -103, -92.6, -87.9, -83, -78.2, -75.7, 
##     -73.6, -71.1, -59.6, -57.4, -55.1, -52.6, -48.4, -46.4, -40.2, 
##     -38.3, -34.3, -30.4, -28.3, -26.5, -24.6, -22.6, -20.6, -18.9, 
##     -15.3, -11.5, -4.2, -0.79, 0.79, 5.88, 7.74, 9.55, 11.1, 
##     12.7, 14.1, 16.1, 18.2, 17.3, 16.5, 14.3, 5.89, -6.15, -13.8, 
##     -16.4, -19.3, -24.9, -27.9, -30.5, -35.6, -40.4, -42.7, -51.6, 
##     -53.2, -55.8, -58.3, -60.7, -64.2, -65.3, -68.8, -70, -71, 
##     -74.3, -76.6, -77.8, -79, -80.3, -82.7, -85.2, -86.4, -89.2, 
##     -92.1, -93.6, -96, -97.1, -98.1, -99.1, -100, -101, -101, 
##     -100, -98.7, -97.6, -94.9, -91.9, -88.1, -86, -78, -61.2, 
##     -56.2, -48.8, -46.6, -44.3, -40, -35.8, -31.8, -26.4, -23.1, 
##     -21.6, -19.1, -16.6, -15.5, -9.85, -6.81, -5.35, -1.85, -0.15, 
##     3, 4.53, 7.08, 9.11, 10.3, 10.7, 10.2, 8.39, 5.81, 4.16, 
##     1.02, -0.67, -4.22, -5.95, -9.69, -15.6, -29.2, -36.7, -42.2, 
##     -43.9, -45.6, -47.3, -48.8, -52.1, -55.6, -57.4, -59.1, -62.6, 
##     -64.2, -68.8, -70.4, -72, -75.2, -81.7, -83.3, -86.6, -92.5, 
##     -93.8, -94.9, -99.7, -102, -103, -103, -103, -102, -102, 
##     -99.8, -98.5, -97, -95.1, -90.7, -88.4, -85.9, -83.2, -80.8, 
##     -78, -72.6, -70.2, -67.3, 20.7, 21.4, 22.3, 22.7, 22.7, 22.2, 
##     20.4, 19.4, 18.3, 14.2, 12.5, 11, 6.06, 4.62, 3.08, 1.64, 
##     -2.51, -6.79, -9.59, -12.6, -15.7, -19.1, -26.4, -31.7, -33.6, 
##     -95.9, -96.1, -96.2, -96.1, -96.1, -95.8, -95.9, -96.2, -96.2, 
##     -96.2, -96.2, -96.1, -95.9, -94.5, -88.9, -77.1, -72.1, -66.7, 
##     -64, -61, -55.1, -49.7, -46.8, -40.7, -37.9, -22, -18.7, 
##     -14.6, -11.1, -3.08, 0.81, 4.87, 12.4, 16.3, 38.1, 41.9, 
##     45.7, 49.5, 63.6, 66.3, 72.4, 75, 75.5, 75.7, 75.8, 75, 74.5, 
##     73, 71.9, 70.8, 69.3, 67.5, 63.5, 55.5, 49.5, 42.7, 35.2, 
##     31, 22.5, 18.1, 0.16, -7.91, -11.9, -23.9, -34.4, -46.7, 
##     -58.4, -61.5, -64.4, -67.7, -76.4, -79.5, -82.4, -87.8, -92.7, 
##     -94.9, -97, -102, -103, -109, -109, -108, -106, -105, -104, 
##     -99.8, -97.4, -92.2, -89.7, -87, -73.3, -57.9, -41.8, -38.3, 
##     -31.7, -28.5, -25.3, -18.5, -15.2, 3.23, 6.79, 10.7, 30.4, 
##     38.7, 41.1, 43.5, 45.6, 47.9, 50.1, 52.4, 54.5, 63.1, 66.5, 
##     68, 69.1, 70.3, 68.8, 66.8, 65.6, 64.1, 58.4, 56.1, 53.9, 
##     51.3, 46.1, 43.1, 36.6, 33, 28.7, 24.9, 17, 13, 1.8, -5.81, 
##     -13.4, -25.8, -36.5, -39.6, -45.4, -48, -50.6, -56.1, -62, 
##     -80.2, -85.2, -87.6, -89.8, -94, -98.1, -102, -103, -105, 
##     -107, -108, -109, -110, -109, -109, -108, -103, -101, -96.6, 
##     -84.4, -81.3, -61.3, -54.5, -51.3, -48, -44.7, -41, -37.7, 
##     -27.1, -20.3, -13.2, -2.83, 10.2, 13.5, 22.4, 25.8, 37, 39.4, 
##     43.8, 45.8, 47.6, 49.3, 51, 55.8, -49.8, -55.2, -57.8, -60.1, 
##     -65.2, -68.1, -80, -82.9, -86.5, -92.9, -95.3, -97.8, -100, 
##     -105, -111, -112, -114, -114, -112, -105, -102, -99.8, -90.8, 
##     -84, -76.6, -61.9, -58, -53.6, -49.8, -46, -41.8, -38.2, 
##     -30.9, -26.9, -20.1, -16.4, -13, -9.95, 6.27, 20, 22.4, 26.9, 
##     31.3, 42.5, 44.6, 46.8, 52.6, 53.4, 53.6, 53, 51.6, 50.7, 
##     49.8, 48.7, 47.6, 44.5, 42.6, 40.6, 38.4, 36.1, 30.8, 24.9, 
##     21.5, 10.7, 3.58, 0.04, -3.18, -6.45, -32.4, -46.4, -111, 
##     -110, -109, -108, -106, -104, -96.2, -81.8, -77, -74.2, -63.6, 
##     -60.9, -58, -45.6, -36.4, -27.2, -24.1, -20.9, -14.4, -5.32, 
##     -2.06, 0.74, 3.9, 6.82, 9.49, 12.2, 17.4, 23, 25.8, 36.8, 
##     42.2, 44.5, 46.7, 51.9, 55.3, 56.1, 56.2, 55.6, 54.8, 51.2, 
##     43.1, 30.2, 26.9, 23.4, 19.8, 8.47, 4.85, 1.08, -2.52, -9.37, 
##     -13.1, -16.6, -20.5, -23.7, -30.5, -36.8, -39.8, -45, -47.3, 
##     -49.8, -51.9, -54.1, -56.3, -66.4, -71.1, -75.4, -77.3, -87.9, 
##     -101, -103, -106, -108, -109, -111, -111, -109, -106, -104, 
##     -102, -94.3, -84, -78.2, -69.6, -66.4, -60.4, -57.5, -54.3, 
##     -42.3, -36, -33.1, -23.6, -20.6, -17.3, -13.8, -10.5, -7.25, 
##     -3.8, 3.15, 6.67, 10.4, 16.5, 32.2, 36.4, 40.4, 46.4, 48.5, 
##     60.5, 56.1, 55, 53.8, 52.6, 51.3, 47.6, 40.2, 37.3, 34.3, 
##     28.4, 25.3, 18.5, 7.73, 3.99, 0.52, -6.47, -14.4, -26.7, 
##     -45.9, -49.6, -55.8, -58.3, -63.3, -79.4, -83.9, -90.2, -94, 
##     -95.8, -97.8, -104, -105, -107, -113, -113, -112, -111, -108, 
##     -106, -103, -101, -93.9, -85.6, -82.6, -76, -72.9, -66.2, 
##     -59, -55.7, -52.2, -35.6, -32.5, -25.9, -23, -16.6, -13.4, 
##     -9.75, -3.21, -26.4, -28.7, -31.3, -41.3, -44.7, -30.2, -29.7, 
##     -29.1, -28, -25.6, -24.4, -23.7, -22.7, -22.8, -23.1, -23.5, 
##     -24, -24.8, -24.9, -24.9, -24.8, -24.4, -22.7, -22.1, -21.3, 
##     -20.4, -14.3, -14.4, -14.5, -14.8, -14.9, -15.2, -17.8, -20.3, 
##     -23.4, -27.5, -29.8, -32.3, -35.1, -40.7, -43.6, -45.9, -50.1, 
##     -51.4, -52.9, -53.3, -48.4, -46.6, -43.5, -42.8, -41, -39.9, 
##     -39.4, -38.9, -37.9, -37.5, -35.8, -35.4, -34.2, -32.5, -27.8, 
##     -26.5, -24.3, -22.5, -21.2, -20.2, -19.5, -19.4, -19.4, -19.5, 
##     -20.6, -21.4, -22.2, -23.6, -24.2, -24.5, -25.2, -25.8, -26.1, 
##     -26.4, -26.6, -26.8, -26.9, -26.9, -27.1, -27.1, -27, -26.9, 
##     -26.7, -26.5, -26.2, -25.4, -24.9, -24.4, -22.7, -21.4, -20.6, 
##     -20.1, -19.3, -16.7, -56.2, -61, -63.3, -68.6, -77.3, -82.9, 
##     -85.3, -87.8, -95.6, -98.7, -100, -102, -107, -108, -109, 
##     -110, -111, -113, -113, -113, -112, 59.9, 59.1, 57.5, 54.1, 
##     52.9, 50.2, 48.7, 45.2, 43.1, 40.9, 38.3, 33.2, 27.9, 25.2, 
##     19.4, 16.5, 4.85, 1.88, -0.88, -4.02, -6.86, -13.4, -16.9, 
##     -30.1, -35.9, -38.3, -48.6, -49.9, -55.3, -56.5, -59.2, -60.5, 
##     -63.6, -70.4, -73.8, -76.9, -84.1, -85.4, -86.9, -88.2, -90.8, 
##     -93, -94.5, -95, -56.7, -54.2, -48.9, -46.2, -40.4, -37.7, 
##     -35.1, -32.8, -26.1, -24.3, -20.7, -17.3, -14.1, -12.6, -9.13, 
##     -0.22, 2.64, 3.96, 5.53, 7.03, 8.37, 11, 18.1, -19.8, -23, 
##     -29.5, -34.9, -46.6, -48.7, -50.9, -58.8, -64.5, -75.7, -78.8, 
##     -80.5, -82, -87.2, -91.9, -100, -101, -102, -103, -104, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -61, -69.6, -73.8, 
##     -82, -85.7, -93.1, -103, -107, -108, -108, -107, -99.9, -93.4, 
##     -89.9, -86.1, -81.7, -73.1, -68.2, -51.4, -38.8, -25.6, -12.4, 
##     6.99, 12.6, 18.7, 29.4, 33.1, 36.9, 49.3, 53.5, 57.7, 78.7, 
##     95.3, 100, 104, 111, 113, 115, 116, 117, 120, 121, 121, 121, 
##     120, 118, 115, 109, 106, 103, 91.8, 87.6, 83.5, 78.6, 74, 
##     77, 94.3, 96.9, 99.3, 102, 105, 109, 110, 111, 114, 115, 
##     118, 118, 119, 119, 119, 119, 119, 109, 107, 79.8, 72.1, 
##     62.3, 45.6, 33, 26.5, 13.2, 6.49, 0.12, -6.68, -14, -21, 
##     -40.7, -51.5, -56.3, -73.4, -85.7, -92.5, -95, -96.8, -97.4, 
##     -96.7, -93.7, -91.7, -89.4, -83.6, -72.9, 44.2, 32.2, 19.2, 
##     0.09, -18, -32.5, -36.2, -39.7, -43.1, -50.1, -48.7, -44.4, 
##     -38.5, -28.2, -19.9, -1.46, 3.06, 11.8, 25.3, 36.9, 93.1, 
##     95.2, 99.6, 107, 113, 114, 115, 116, 116, 116, 116, 115, 
##     114, 111, 109, 106, 104, 92.3, 78.4, 69.9, 60.6, -44.3, -60.8, 
##     -60.6, -59, -56.4, -53.2, -49.6, -45.4, -41.2, -36.6, -26.6, 
##     -21.8, -16.1, -3.72, 2.07, 8.75, 15.5, 27.6, 33.5, 44.5, 
##     49.9, 68.7, 72.9, 84.6, 88.3, 95.1, 98.5, 108, 111, 36.4, 
##     45.6, 50.7, 85.5, 89.7, 93.3, 101, 109, 116, 124, 125, 126, 
##     129, 130, 132, 132, 132, 132, -153, -153, -153, -155, -155, 
##     -155, -155, -155, -155, -155, -154, -153, -152, -150, -134, 
##     -78.3, 16.1, 18.6, 12.2, 93.4, 97.8, 105, 109, 109, 109, 
##     109, 107, 98.1, 88.2, 84.3, 76.2, 71.9, 62, 51.6, 45.8, 35, 
##     30, 85.3, 74.6, 70.8, 61.5, 51.7, 46.7, 41.7, 37.1, 27.5, 
##     22.3, 11.4, 5.14, -0.46, -13.3, -20.9, -28.7, -37.5, -52, 
##     -67.7, -72.3, -84.1, -91.1, -90.8, -86.1, -83.7, -63.3, -76.7, 
##     -83.6, -86.5, -89, -91.3, -95.1, -97.1, -97.1, -96.2, -93.5, 
##     -91.7, -89.7, -77.4, -63.6, -59.1, -54.4, -43.3, -31.1, -18.9, 
##     -2.21, 15.3, -70.6, -65.5, -59.8, -54.6, -41.9, -34.9, -15.1, 
##     -9.29, -3.03, 27.5, 32.8, 37.1, 40.8, 47.6, 50.4, 53.5, 56.4, 
##     67.9, 77.1, 82.9, 104, 108, 108, 81.3, 67.7, 62.5, 29.1, 
##     23, 2, -5.47, -29.4, -38.3, -62.5, -68.1, -77.3, -84.7, -91.2, 
##     -91.8, -91.8, -90.4, -89.5, -85.6, -82.2, -80.2, -77.7, -67.9, 
##     -59.3, 27.6, 20.7, 13.6, 5.59, -2.36, -10.9, -36.6, -44, 
##     -49.9, -54.5, -65.9, -71.6, -75.6, -76.9, -78.3, -77.9, -76, 
##     -72.6, -70.2, -64.6, -57.2, -53, -9.69, 113, 113, 113, 113, 
##     113, 113, 113, 113, 113, 113, 113, 113, 113, 113, 113, 112, 
##     109, 107, 105, 101, 93.8, 90.8, 87.7, 75.9, 55.7, 50.5, 45.1, 
##     103, 102, 97.1, 88.5, 86, 83.6, 75.2, 59.3, 50.1, 45, 42.1, 
##     39.4, 36.1, 33.1, 29.1, 15, 2.95, -11.1, -26.2, -31.8, -36, 
##     -39.8, -42.2, -43.6, -42.4, -41.4, 77.9, 80.1, 82, 83.8, 
##     85.9, 87.7, 89.6, 93.2, 97.9, 101, 102, 104, 106, 107, 110, 
##     108, 107, 106, 104, 100, 98, 93.9, 88.8, 83.4, 73.5, -37.8, 
##     -31.3, -28, -12.1, -7.83, -3.12, 1.63, 11.7, 27.3, 32.7, 
##     43.2, 48.5, 63.3, 68.1, 73, 77.4, 91, 95.4, 99.4, 104, 110, 
##     113, 120, 124, 126, 128, 127, 127, 126, 125, 124, 122, 119, 
##     118, 112, 110, 103, 101, 98.6, 89.5, 82.2, 71.9, 66.4, 57.9, 
##     54.9, 52.4, 49.8, 34, 31.7, 28.9, 26.6, 24.1, 20.5, 18.2, 
##     17, 16.4, 16.3, 16.3, 16.9, 18, 21.8, 23.1, 28, 29.8, 32, 
##     34.2, 36.7, 44.7, 47.5, 50.3, 53, 58.8, 69.3, 77.4, 80.3, 
##     85.8, 88.4, 91.1, 96.7, 98.6, 99.8, 100, 102, 102, 102, 101, 
##     98.2, 97.3, 96, 94.5, 92.8, 90.4, 81.5, 78.2, 74.6, 67.1, 
##     59.5, 55.9, 52.2, 48.7, 37.5, 34.3, 30.8, 28, 20.1, 14.4, 
##     11.2, 8.31, 6.91, 4.86, 2.67, 2.05, 2.06, 2.21, 2.36, 2.89, 
##     3.83, 5.24, 6.77, 11.8, 13.5, 20.7, 22.4, 24.4, 26, 35.5, 
##     39, 42.6, 50.9, 62.3, 66, 73.5, -17.9, -18.4, -22.3, -23.1, 
##     -23.9, -24.9, -26.5, -28.6, -29.6, -32.7, -34.6, -37, -37.9, 
##     -38.8, -39.5, -40.5, -40.9, -41.2, -42.2, -42.5, -43.2, -44, 
##     -43.6, -42.6, -41.9, -41.5, -55.1, -56.9, -57.8, -58.8, -59.9, 
##     -63.5, -64.8, -70.4, -71.7, -78.3, -79.5, -80.7, -85.7, -86.9, 
##     -88.1, -91.3, -92.2, -93.1, -94.8, -97.2, -98.5, -99.5, -101, 
##     -102, -102, -102, -102, -101, -101, -100, -99.3, -98.7, -94.2, 
##     -93.2, -88.5, -84.2, -81.3, -78.2, -74.4, -70.9, -67.6, -64.1, 
##     -64.7, -70.5, -74.7, -88.3, -97.5, -103, -109, -111, -112, 
##     -114, -117, -119, -121, -123, -126, -127, -130, -132, -135, 
##     -137, -141, -143, -145, -145, -146, -147, -148, -151, -151, 
##     -153, -153, -154, -156, -157, -157, -158, -159, -160, -161, 
##     -162, -163, -165, -168, -170, -171, -173, 45.8, 49.8, 54, 
##     62.3, 65.2, 75.5, 78.6, 85.7, 99, 105, 108, 110, 116, 118, 
##     122, 125, 126, 129, 130, 131, 132, 133, 136, 137, 137, 137, 
##     137, 136, 134, 132, 131, 128, 125, 114, 111, 95.9, 92.7, 
##     89, 81.6, 62.9, 59.3, 55.7, 49.7, 46.9, 40.9, 37.6, 38.6, 
##     39.5, 41.7, 47.5, 49.4, 51, 53.1, 55.1, 57, 61.3, 70.4, 77.7, 
##     80.1, 82.8, 87.7, 92.3, 99.7, 106, 110, 114, 118, 119, 121, 
##     122, 122, 121, 118, 116, 115, 113, 105, 103, 100, 94.9, 89, 
##     82.5, 75.6, 68, 45.4, 41.2, 33.6, 22.6, 22, 22.1, 22.7, 28.3, 
##     39.2, 41.3, 43.8, 49.1, 54.3, 62.2, 75.2, 77.4, 82.1, 84.6, 
##     86.7, 90.8, 98.4, 102, 103, 108, 109, 111, 112, 113, 113, 
##     113, 111, 109, 108, 107, 106, 103, 98.1, 90.8, 88.7, 86.6, 
##     84.6, 82.3, 80.1, 66.9, 61, 51.6, 47.9, 44.7, 40.7, 36.9, 
##     26, 23, 58.2, 81.5, 94.1, 100, 103, 107, 110, 117, 118, 119, 
##     115, 111, 109, 96.3, 92.8, 85.8, 64.1, 59.1, 54, 48.6, 43.1, 
##     37.1, 25.3, 19.6, 8.69, 3.25, -19.2, -31.8, -38, -43.5, -48.8, 
##     -57.8, -62.1, -77.8, -81.3, -84.9, -91.5, -95, -97.9, -101, 
##     -105, -107, -107, -106, -99.9, -96.7, -89.4, -85.3, -71, 
##     -48, -29.8, 7.95, 23.9, 33.3, 42, 46.3, 50.3, 58.2, 62, 66.3, 
##     82.4, 90.1, 94, 97.7, 104, 107, 109, 112, 114, 123, 124, 
##     124, 123, 113, 106, 95, 90.6, 86.1, 81.3, 71.7, 66.8, 61.5, 
##     50.7, 44.5, 39, 32.5, 26.8, 9.01, 3.41, -24.6, -41.9, -47.1, 
##     -51.7, -64.3, -78.5, -89.3, -92.5, -99.3, -105, -104, -102, 
##     -96.9, -75, -70.6, -66.1, -61.1, -44.6, -38.6, -26, -19.4, 
##     -6.89, -0.45, 5.47, 32.6, 36.2, 39.5, 49.9, 60.9, 64.7, 68.9, 
##     73.3, 101, 117, 120, 120, 120, 120, 119, 118, 116, 114, 110, 
##     107, 93.1, 88.9, 84.9, 80, 70.3, 65.1, 59.8, 54, 48.5, 42.5, 
##     36.7, 30.5, 18.3, -6.13, -11.9, -24.4, -30.4, -36.5, -42.1, 
##     -47.1, -56.5, -60.7, -68.4, -86.1, -89.4, -95.7, -98.5, -105, 
##     -106, -106, -105, -101, -92.2, -89.1, -85.3, -73.1, -68.4, 
##     -63.5, -58.2, -53.4, -22.8, -16.9, -5.07, 0.67, 11, 20.5, 
##     116, 116, 116, 116, 116, 114, 106, 99.2, 96.6, 72.3, 68.7, 
##     65.2, 45.2, 113, 116, 118, 119, 120, 120, 121, 122, 122, 
##     123, 123, 123, 121, 120, 119, 118, 116, 114, 112, 87.5, 74.3, 
##     69.4, 45.3, 22.7, 17.8, 13.9, 2.18, 1.23, 4.45, 11.7, 17.8, 
##     22.1, 34, 42.9, 47.1, 69.5, 72.4, 80.5, 91.5, 99.6, 104, 
##     107, 109, 117, 118, 119, 120, 122, 122, 122, 122, 121, 120, 
##     118, 113, 111, 106, 104, 76.2, 63, 58.7, 53.6, 45.2, 37, 
##     29, 13, 9.29, 5.98, 0.71, 0.22, 8.06, 13.1, 19.5, 22.8, 30.8, 
##     46.8, 50.2, 53.4, 56.6, 59.3, 70.1, 75.1, 83.1, 88.6, 96.6, 
##     115, 118, 119, 120, 120, 120, 119, 118, 117, 112, 105, 100, 
##     97.2, 94.2, 83.8, 75.3, 71.1, 62, 57.5, 43.6, 34.8, 30.6, 
##     25.6, 16.1, 0.3, -1.4, -2.54, -2.11, -1.14, 0.66, 8.7, 11.6, 
##     14.8, 18.4, 22.9, 27.5, 31.2, 40.7, 45.9, 49.7, 53.7, 57, 
##     60, 66.1, 68.9, 74.9, 90.4, 99.5, 108, 114, 119, 121, 122, 
##     121, 117, 113, 103, 95.9, 66, 57.5, 48.6, 40.5, 32.3, 28.5, 
##     24.6, 11.7, 7.25, 3.2, -0.34, -5.4, -8.07, -8.01, -7.08, 
##     -5.43, -3.27, -0.48, 2.44, 5.46, 9.28, 12.8, 16.9, 21.3, 
##     26.2, 122, 122, 122, 121, 119, 118, 115, 113, 104, 94.2, 
##     83.2, 79.4, 74.7, 69.8, 64.5, 54.3, 29, 24, 0.71, -5.01, 
##     -7.45, -7.8, -7.59, -6.74, -3.53, 4.74, 7.94, 19.3, 37, 49.7, 
##     53.5, 57, 74.2, 80.6, 83.6, 86.6, 92.5, 95.1, 101, 106, 114, 
##     120, 121, 122, 123, 124, 125, 125, 126, 125, 123, 118, 114, 
##     111, 103, 99.5, 5, -1.47, -9.02, -15.7, -23.6, -31.2, -46.9, 
##     -59.1, -63.2, -67.7, -71.6, -75.5, -79, -89.9, -89.8, -89.2, 
##     -88.2, -87.1, -85.7, -84.1, -75.1, -68.2, -60.1, -49.6, -37.2, 
##     -30.8, -18.1, 14.1, 19.9, 26.6, 31.8, 42.1, 50.2, 56.9, 63.2, 
##     66, 77.5, 80.2, 88.1, 90.3, 92.6, 95, 100, 103, 105, 106, 
##     106, 106, 106, 105, 103, 100, 98.5, 96.4, 93.7, 87.8, 67.6, 
##     45.9, 39.8, 28.7, 22.5, 4.15, -2.02, -8.31, -13.8, -39.5, 
##     -44.9, -49.6, -54.1, -57.7, -65.2, -68.6, -74.4, -78.9, -80.5, 
##     -82.5, -82.7, -79.4, -75.5, -66.5, -49.3, -31.9, -19.9, 1.87, 
##     10.1, 17.8, 25, 37.8, 51.1, 55.1, 58.4, 65.2, 72.2, 78.8, 
##     82.3, 88.4, 91.2, 97.1, 99.8, 103, 105, 110, 118, 120, 121, 
##     122, 123, 123, 121, 116, 113, 106, 93.9, 78, 59.2, -34.1, 
##     -29.4, -23.9, -13, 50.4, 55.6, 59.4, 63.3, 72.6, 75.3, 78, 
##     80.7, 83.3, 87.9, 90.4, 99.6, 103, 104, 105, 106, 107, 107, 
##     107, 108, 108, 108, 108, 108, 108, 108, 108, 108, 109, 109, 
##     109, 109, 110, 110, 110, 111, 111, 112, 112, 113, 114, 115, 
##     115, 115, 115, 115, 114, 114, 114, 113, 114, 114, 114, 114, 
##     115, 115, 115, 115, 115, 115, 114, 114, 114, 114, 113, 113, 
##     113, 113, 113, 112, 112, 112, 113, 113, 112, 112, 112, 112, 
##     112, 113, 114, 114, 114, 114, 114, 113, 113, 111, 112, 112, 
##     113, 114, 114, 115, 115, 115, 115, 116, 116, 116, 117, 117, 
##     117, 116, 115, 114, 114, 114, 114, 114, 113, 114, 114, 114, 
##     114, 115, 115, 115, 115, 115, 115, 115, 116, 116, 116, 116, 
##     116, 116, 116, 116, 116, 116, 116, 116, 116, 115, 114, 113, 
##     113, 112, 111, 108, 105, 103, 88.7, 73.4, 66.9, 65.2, 55.1, 
##     51.5, 44.2, 43.5, 43.3, 48.2, 49.5, 55, 56.5, 61.1, 71.3, 
##     74.1, 77.2, 79.2, 81.2, 85.1, 88.7, 94, 97.3, 100, 104, 105, 
##     105, 105, 105, 103, 102, 93.4, 90.8, 85.6, 78.2, 71.1, 68.6, 
##     66.4, 59.6, 57.5, 55.2, 50.4, 48.1, 43, 40.6, 34.8, 30, 29, 
##     28.2, 28, 28.3, 29.2, 30.7, 32.3, 36.3, 45.8, 48.4, 50.6, 
##     52.8, 56.9, 59, 61, 67.7, 72.4, 79.2, 83.4, 87.3, 89, 91.9, 
##     31.9, 34.1, 36.8, 39.1, 43.5, 46, 50.2, 52, 54.3, 56.3, 60.4, 
##     62.7, 64.7, 71.3, 76.2, 81.4, 90.3, 91.9, 83.4, 68.7, 66, 
##     63.3, 60.8, 58.1, 53.4, 50.9, 48.4, 43.1, 37.8, 35.4, 33.1, 
##     27.4, 25.9, 24.9, 23.2, 22.6, 21.6, 22.2, 23.1, 31.5, 35.7, 
##     37.9, 40.1, 42.5, 44.9, 46.9, 51.3, 55.6, 62.8, 71.8, 76.5, 
##     79, 83.7, 87.9, 91.7, 94.5, 95.6, 96.9, 97.5, 97.4, 96.9, 
##     96, 92.7, 90.8, 88.3, 82.7, 76.9, 70.8, 67.9, 61.8, 58.8, 
##     55.8, 53.1, 47.5, 44.9, 39.9, 37.2, 32.5, 24.1, 22.4, 20.8, 
##     18.3, 17.3, 15.9, 15.6, 15.6, 16.1, 18.2, 21.5, 23.5, 25.7, 
##     27.5, 46.7, 49.5, 52, 54.8, 57.4, 60.4, 66, 68.8, 82, 84.9, 
##     90.6, 93, 95.5, 103, 97.2, 86.2, 82.8, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11.3, -10, 
##     -11.5, -14.5, -15.5, -16.6, -17.7, -19.9, -21, -23, -23.9, 
##     -24.8, -25.5, -26.8, -27.5, -29, -29.7, -30.9, -32.9, -34.1, 
##     -35.2, -37, -37.7, -40.4, -43, -42.2, -40.4, -38.7, -37.2, 
##     -36.6, -32.7, -13.6, -13.9, -14.2, -14.5, -14.6, -14.8, -15.1, 
##     -15.4, -17.1, -17.7, -18, -19.7, -20.6, -21, -21.4, -22.9, 
##     -23.3, -23.8, -24.9, -26, -26.5, -27.4, 134, 137, 143, 146, 
##     149, 150, 153, 154, 158, 159, 160, 160, 161, 166, -21.2, 
##     -19.7, -18.6, -16.3, -14, -13.1, -12.9, -12.9, -12.4, -12.9, 
##     -13.2, -13.8, -14.2, -14.6, -17.3, -18, -18.8, -19.7, -22.6, 
##     -23.8, -25.4, -29.4, -27.3, -25.5, -25.2, -25.6, -26.1, -26.9, 
##     -27.6, -29.5, -30.5, -32, -33.3, -34.8, -38.7, -39.7, -39.9, 
##     -39.9, -40, -40.3, -41, -41.2, -41.6, -41.9, -42.3, -42.9, 
##     -43, -43.4, -43.1, -42.3, -41.5, -41.3, -40.8, -37.4, -34.4, 
##     -28.7, -29.1, -31.3, -34.4, -47.9, -51.3, -54.8, -61.5, -67, 
##     -69.6, -74, -77.8, -81, -82.9, -83.4, -83.7, -84.2, -84.7, 
##     -84.8, -84.5, -84.9, -87.4, -88.1, -88.9, -94.8, -94.3, -93.8, 
##     -93.3, -92.4, -90.9, -86.8, -85.1, -83.1, -81.2, -79, -72.6, 
##     -68.3, -62.1, -60.4, -54, -50.8, -46.2, -45, -43.7, -41.4, 
##     -36.5, -35.4, -32.3, -29.2, -28.1, -26.6, -25.6, -24.7, -24.3, 
##     -24, -23.4, -23.2, -23.1, -23, -22.8, -22.7, -23.3, -24.3, 
##     -27, -28, -29.2, -30.4, -38.9, -39.9, -40.9, -41.9, -42.8, 
##     -44.7, -46.8, -48.9, -50, -50.9, -53.3, -55.4, -56.8, -58.4, 
##     -60.6, -61.1, -61.7, -62.2, -62.6, -63, -64, -64.6, -68.5, 
##     -69.2, -69.8, -71.8, -74.8, -75.5, -76.1, -76.7, -77.2, -77.6, 
##     -77.9, -78.1, -76.2, -74.5, -71.7, -70.5, -69.4, -68.4, -66.1, 
##     -64.8, -59.7, -57.2, -56, -54.8, -53.7, -52.5, -49.1, -47.9, 
##     -41.4, -39.9, -37.2, -36, -34.6, -33.2, -30.4, -29, -23.4, 
##     -17.4, -14.4, -13.4, -12.4, -12.1, -11.4, -11, -11.1, -11.3, 
##     -11.6, -12.1, -12.9, -17.3, -18.7, -20.2, -24.9, -26.5, -74.1, 
##     -75.5, -75.9, -75.9, -75.9, -75.9, -76, -76, -75.6, -75.1, 
##     -73.5, -72.8, -72.3, -71.7, -71, -70.3, -69.6, -67.7, -66.8, 
##     -64.7, -63.6, -62.6, -61.5, -60.4, -58.2, -55.8, -43.2, -41.7, 
##     -40.1, -37, -34.1, -31.4, -30.2, -28.1, -27.1, -25.8, -25.3, 
##     -24, -23.5, -22.4, -22.4, -22.5, -22.8, -23.3, -24.5, -25.3, 
##     -27.4, -31.3, -32.8, -34.2, -37.1, -40.4, -47, -49.9, -52.7, 
##     -53.9, -55.1, -56.5, -63.3, -65.7, -66.6, -67.5, -69.3, -70.2, 
##     -71.2, -72.1, -73.3, -74.3, -76.3, -78.3, -81.7, -82.1, -83.9, 
##     -84.2, -84.5, -84.7, -83.7, -80.5, -77, -73.4, -71.1, -69.8, 
##     -68.7, -66.4, -64.1, -62.9, -60.6, -59.3, -57, -55.9, -54.7, 
##     -53.4, -52.1, -50.9, -49.4, -39.5, -35.6, -33.4, -32.7, -30.7, 
##     -30.1, -29.7, -29.3, -29.3, -29.2, -29.2, -29.2, -29.3, -30.4, 
##     -33.3, -34.6, -37.3, -39, -41.9, -46.2, -51.1, -52.7, -55.7, 
##     -57.2, -64.5, -66.8, -69, -70, -72.6, -74.1, -74.8, -75.5, 
##     -76.2, -77, -77.7, -78.6, -80.1, -82, -82.9, -83.6, -83.8, 
##     -83.8, -82.8, -82.3, -81.3, -80.7, -80.1, -79.4, -78.6, -77.8, 
##     -76.7, -74.5, -68.6, -64.8, -62.1, -58.1, -51.5, -50.1, -48.9, 
##     -47.8, -46.5, -45.4, -39.3, -37.3, -36.4, -35.7, -34.9, -33.9, 
##     -33, -30.5, -29.6, -71.7, -73.6, -75.6, -76.7, -80.5, -82, 
##     -82.6, -83.2, -83.7, -84.2, -84.9, -85.2, -85.4, -85.4, -85, 
##     -83.3, -82.4, -81.5, -80.4, -79.4, -76, -72.5, -71.3, -70, 
##     -68.8, -67.6, -66.4, -62.7, -58.7, -57, -55.5, -54, -52.3, 
##     -50.8, -49.3, -46.3, -44.9, -39.8, -34.9, -33.4, -31.9, -30.6, 
##     -28.3, -25.8, -25.5, -25.1, -24.8, -24.3, -23.9, -23.2, -23.4, 
##     -24.2, -28, -36.4, -43.5, -46.9, -48.7, -52.1, -56.7, -61, 
##     -65.1, -66.5, -73.5, -75.3, -77.3, -80.7, -82.2, -83.2, -84.2, 
##     -85.7, -88.4, -88.7, -88.8, -89.1, -89.3, -89.3, -89.3, -89, 
##     -88.6, -87.5, -86.7, -83.6, -79.6, -73.6, -72, -70.5, -65.9, 
##     -64.4, -62.9, -56.4, -53.1, -51.5, -49.7, -48.2, -44.8, -40.3, 
##     -37.7, -35.2, -33.2, -31.4, -31, -30.7, -30.3, -30, -28.3, 
##     -28.5, -30.7, -32.7, -38.5, -45.5, -51.2, -54.2, -55.7, -58.9, 
##     -60.6, -62.3, -63.7, -66.6, -68.1, -70.6, -74.5, -75.8, -79.3, 
##     -80.5, -81.7, -84.2, -85.4, -86.6, -88.7, -89.6, -92.6, -93.2, 
##     -93.7, -94.7, -94.8, -94, -92.7, -90.9, -88.9, -87.9, -80.5, 
##     -78.9, -75.9, -74.4, -71.5, -68.8, -67.5, -63.3, -60, -54, 
##     -51, -45, -42, -36.5, -35, -32.4, -31.3, -29.1, -29.1, -29, 
##     -29.1, -29.2, -29.4, -30.3, -30.5, -30.6, -31.7, -33, -33.8, 
##     -36.1, -39.1, -43.9, -45.4, -50, -51.8, -55.2, -56.7, -58.4, 
##     -59.9, -61.3, -62.6, -67.1, -70.6, -71.7, -75.1, -77.1, -78.6, 
##     -79.3, -79.8, -27.6, -27.4, -27.1, -27.4, -29, -30, -32.2, 
##     -33.4, -34.9, -37.6, -44.5, -51.1, -52.3, -59.7, -60.9, -65.7, 
##     -66.8, -67.9, -68.8, -69.8, -28, -33.3, -35, -42.4, -46.7, 
##     -47.6, -49.5, -50.5, -57.2, -59.2, -60.7, -61.9, -67.5, -69.3, 
##     -70.9, -71.7, -73.3, -91.5, -94.1, -94.8, -95.5, -96.6, -97, 
##     -97.9, -98.9, -101, -102, -104, -104, -105, -106, -106, -106, 
##     -106, -106, -106, -106, -106, -105, -105, -104, -103, -102, 
##     -99.4, -97.4, -96.4, -28.2, -28.3, -28.4, -28.5, -28.4, -28.2, 
##     -28, -27.8, -26.9, -26.3, -26.1, -25.6, -24, -22.9, -21.3, 
##     -18, -16.3, -11.1, -6.52, 5.54, 41.5, 93.8, 115, 88.2, 102, 
##     107, 112, 116, 122, 125, 128, 129, 131, 118, 49.6, 13.9, 
##     -13.8, -12.7, -12.6, -11.1, -11, -10.7, -10.2, -11.4, -12, 
##     -31.7, -30.7, -29.9, -28.6, -27.9, -27.4, -26.2, -25.5, -24.7, 
##     -22.8, -11.9, -8.95, -5.91, -2.43, 11, 22.8, 28, 39.8, 80.5, 
##     10.4, 16.4, 23.7, 28.3, 32.8, 37.5, 43.6, 45.2, 48, 49.3, 
##     51.3, 52.8, 53.4, 52.7, 50.8, 46, 44.1, 42, -77, -78.8, -80.6, 
##     -82.8, -93.8, -106, -107, -109, -110, -111, -111, -112, -113, 
##     -112, -111, -110, -106, -104, -101, -98.9, -96.2, -89.8, 
##     -79.8, -72.7, -59, -55.7, -38.6, -31.8, -24.6, 8.96, 12, 
##     15.5, 24.7, 30.2, 32.6, 37.4, 43.9, 45.9, 52.8, 54, 55.9, 
##     56.5, 56.8, 57, 56.9, 56.5, 56, 52.8, 51.7, 48.9, 42.7, 40.2, 
##     37.4, 34.5, 31.4, 28.2, 24.7, 21.3, 17.6, 13.9, 10.2, 6.52, 
##     -0.67, -12.2, -16.4, -24.7, -28.9, -32.7, -36.4, -39.6, -51, 
##     -53.3, -60.8, -63.2, -76.4, -78.6, -86.6, -88.4, -90.6, -94.8, 
##     -96.9, -98.9, -102, -106, -110, -111, -110, -108, -106, -99.6, 
##     -91.8, -89.6, -86.9, -84.1, -70.1, -58.1, -45.9, -41.9, -38.2, 
##     -33.9, -30.2, -25.9, -22.2, -18, -14.4, -6.73, -3.03, 8.18, 
##     12.1, 15.3, 18.7, 21.6, 38.3, 40.3, 42.3, 44.4, 46.4, 53.8, 
##     56, 56.5, 56.5, 55.9, 55.1, 54.1, 53, 51.7, 47.1, 43.3, 40.9, 
##     28.9, 21.8, 17.9, 10.4, 6.59, -12.1, -19.4, -23, -42.5, -51.3, 
##     -53.2, -55.5, -59.9, -62.4, -67.2, -69.6, -76.3, -78.5, -82.7, 
##     -84.9, -87.4, -89.9, -92.4, -95, -99.8, -102, -104, -106, 
##     -108, -111, -114, -114, -114, -114, -112, -111, -107, -105, 
##     -98.8, -87.3, -83.9, -80.7, 56.5, 59.9, 60.1, 60.2, 59.7, 
##     58.9, 57.8, 57.1, 56.3, 55.4, 54.3, 53.1, 50.2, 48.7, 43, 
##     36.4, 33.9, 31.4, 20, 14.1, 10.9, -5.54, -8.75, -15.5, -113, 
##     -109, -109, -107, -106, -103, -99.6, -96.9, -95.3, -93.8, 
##     -83.1, -77.8, -75.3, -72.2, -69.7, -66.7, -64.1, -61.1, -58.6, 
##     -55.9, -45.5, -43.3, -40.9, -38.7, -34.5, -27.4, -24.1, -22.4, 
##     -21.1, -18.6, -16.1, -15.7, -15.7, -16.8, -23.2, -25.9, -27.4, 
##     -29, -30.6, -33.8, -35.6, -42.6, -45.9, -47.6, -52.6, -54.1, 
##     -57.4, -59, -62.4, -67.5, -72.9, -77.9, -84.2, -85.8, -87.2, 
##     -88.8, -93, -94.5, -100, -101, -103, -103, -102, -101, -98.6, 
##     -93.8, -90, -85.6, -69.5, -67, -57.2, -52.4, -47.4, -45.2, 
##     -43.1, -39.2, -37.6, -36.1, -33.4, -32.1, -29.6, -28.2, -27, 
##     -24.3, -23.2, -19.6, -18.5, -18, -17.7, -17.2, -17.6, -18.6, 
##     -20, -20.8, -21.7, -22.6, -23.6, -25.8, -28.5, -29.9, -36.1, 
##     -37.5, -40.4, -45.1, -46.1, -47.1, -50.4, -51.5, -53.9, -55.1, 
##     -56.3, -61.7, -70.1, -72, -73.6, -75.3, -78.4, -79.8, -83, 
##     -86.2, -90, -102, -103, -103, -99.7, -96.7, -92.9, -80.9, 
##     -75.6, -73, -68.1, -63.5, -59.5, -45.8, -42.4, -38.8, -37.1, 
##     -47.6, -49.1, -50.6, -52.2, -53.7, -58.5, -60, -64.5, -67.4, 
##     -68.8, -70.2, -73.3, -75, -76.6, -85.4, -88.8, -92.1, -95, 
##     -105, -107, -105, -101, -99, -9.38, -9.94, -11.4, -12.3, 
##     -19, -20.6, -22.4, -26, -29.8, -31.8, -33.9, -41.7, -43.5, 
##     -45.2, -48.4, -49.9, -51.5, -54.6, -56.3, -59.5, -62.5, -64.1, 
##     -70, -71.7, -73.3, -75, -83.5, -100, -101, -102, -102, -102, 
##     -102, -102, -99.1, -91.2, -87.2, -82.8, -75.7, -70.9, -61.3, 
##     -54.3, -47.7, -45.7, -42.1, -40.4, -35.6, -34.3, -31.5, -30.1, 
##     -28.8, -27.4, -24.9, -23.6, -22.1, -18.2, -95, -92.6, -87.8, 
##     -80.3, -73, -70.5, -68, -60.8, -58.5, -53.8, -40.4, -36.1, 
##     -27.3, -25.5, -21.9, -20.2, -18.6, -14.7, -8.83, -33.9, -29.2, 
##     -25.9, -23, -18.5, -16.9, -16.8, -17.4, -19.1, -19.6, -20.3, 
##     -21, -21.9, -22.7, -24.7, -27, -31.1, -32.5, -34.1, -35.5, 
##     -37.1, -38.6, -41.6, -46.2, -30.5, -48.2, -51, -53.8, -62.1, 
##     -70.2, -77.7, -80.2, -85.1, -87.7, -94.7, -101, -109, -110, 
##     -112, -113, -113, -113, -62.7, -59, -55, -51.2, -47.5, -43.2, 
##     -31.8, -15.8, -11.7, -7.61, 4.95, 8.72, 12.9, 16.7, 23.4, 
##     26.1, 37.1, 41.2, 42.3, 46, 50, 54.2, 55.4, 28.9, 26.5, 23.9, 
##     21.3, 15.6, 12.7, 10.3, 7.27, 4.22, -11.9, -16.1, -19.7, 
##     -23.6, -27.5, -37.6, -40.4, -45.1, -47.2, -51.4, -53.3, -59.6, 
##     -61.6, -65.9, -67.9, -73.4, -75.3, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44.1, 51.2, 
##     57.9, 67.7, 70.5, 76.9, 80, 82.7, 85.5, 91.5, 94.2, 105, 
##     108, 112, 117, 118, 120, 120, 26, 18.8, 14, 12.4, 11.3, 13, 
##     14.8, 19.5, 22.4, 29.1, 33, 44.1, 60.8, 63.6, 69.4, 72.2, 
##     75, 77.7, 80.8, 85.9, 91.3, 93.9, 100, 103, 107, 109, 24.7, 
##     29.6, 37.6, 41.6, 48.7, 52.7, 56.2, 63.9, 71.7, 75.5, 79.5, 
##     83.2, 90.1, 93.1, 95.7, 100, 104, 110, 111, 113, 113, 114, 
##     115, 115, 115, 115, 115, 115, 116, 167, 167, 165, 165, 163, 
##     161, 154, 149, 143, 132, 113, 94.2, 79.8, 73.1, 53.6, 48.4, 
##     44.5, 38.7, 38.4, 38.8, 39.6, -177, -180, 177, 161, 140, 
##     108, 84.6, 72.5, 71.6, 74.6, 76.9, 87.6, 113, 118, 124, 133, 
##     141, 145, 147, 150, 152, 156, 161, 162, 163, 164, 165, 165, 
##     166, 166, 167, -41.2, -40.4, -39.7, -39.3, -38.7, -38, -37.6, 
##     -36.8, -36.3, -36.5, -37.1, -37.8, -38.7, -40.4, -42, -43.4, 
##     -44.7, -45.3, -46.3, -46.9, -47.5, -48.2, -53.4, -7.97, -8.45, 
##     -9.08, -9.5, -10.2, -10.6, -10.9, -11.6, -11.8, -12, -12, 
##     -12.2, -12.3, -13.1, -13.6, -13.7, -13.7, -13.9, -13.6, -13.7, 
##     -16.2, -17.3, 92.9, 96.8, 100, 99.6, 98.9, 92.4, 85, 79.4, 
##     68, 54, 38.2, 28.5, 19.7, 16.3, 5.8, 2.58, -1.87, -2.85, 
##     -3.66, -5.99, 93.2, 94.8, 76.3, 68.9, 66.4, 64, 59.3, 55, 
##     52.8, 50.8, 48.7, 46.6, 42.3, 40, 37.8, 35.6, 33.5, 29.4, 
##     24.1, 21, 19.5, 18.2, 16.9, 16, 15.6, 15.6, 16.2, 17.4, 20.7, 
##     22.7, 52.4, 30.8, -4.81, -11.7, -35.4, -40.9, -45.6, -50.1, 
##     -57.6, -61.1, -64.2, -67.1, -71.8, -73.8, -77.1, -77.6, -77.3, 
##     -73.4, -69.3, -60.6, -53.1, -44, 68.4, 67.3, 66.1, 58, 56.3, 
##     53, 51.4, 48, 46.2, 44.6, 36.9, 29.3, 23.7, 20.9, 17.3, 12.6, 
##     7.39, 1.29, -21.3, -45.8, -50.9, -56.9, -55.9, -43.5, -39.4, 
##     -34.6, -20.7, -17.3, -10.8, -7.81, -4.47, 6.26, 23.5, 30, 
##     33.2, 50, 54.1, 56.2, 58, 60.1, 65.2, 66.6, 67.8, 68.8, 70.2, 
##     70.6, 70.5, 67.7, 65.4, 57.6, 53.8, 51.6, 41.7, 39.1, 36.7, 
##     33.7, 27.4, 24.4, 16.4, 11.9, 5.97, -9.6, -19.4, -29.9, -58.4, 
##     -58, -51.8, -48.4, -44.2, -39.3, -33.8, -28.8, 17.8, 13, 
##     6.63, -14.5, -21.5, -28.7, -35.4, -54.6, -57.7, -54.1, -41.3, 
##     -36.7, -31.7, -1.3, 17, 25.2, 28.9, 32.4, 35.4, 41.5, 48.5, 
##     50.4, 57.2, 58.5, 61.6, 62.2, 62.6, 63.1, 63.1, 62.8, 62.4, 
##     60.8, 57.2, 55.8, 52.2, 50, 45.9, 43.8, 41.7, 37.2, 34.6, 
##     31.5, 24.9, 20.7, 15.4, 10, 2.39, -15.9, -34.4, -52.5, -63.4, 
##     -63.5, -58.1, -55.3, -51.7, -47.3, -37, -24.2, -18.7, -4.58, 
##     7.03, 12.8, 27.8, 32.5, 39.7, 42.6, 45.4, 51.3, 53.6, 56.8, 
##     59.4, 60.5, 62.7, 63.7, 14.7, 16.6, 18, 21.3, 23.3, 27.3, 
##     29.4, 35.9, 38, 40.5, 42.7, 44.6, 46.9, 49.1, 53.4, 62.5, 
##     71.2, 73.1, 75.1, 83.6, 91.9, 104, 104, 103, 102, 101, 98.6, 
##     97.9, 95.4, 94, 93.2, 92.3, 91.4, 87.1, 82.5, 79.5, 77.8, 
##     76.1, 70.6, 66.4, 64.1, 61.8, 59.2, 56.5, 54.1, 48.8, 42.2, 
##     38.2, 37.3, 35.9, 35.6, 35.2, 35.4, 35.6, 35, 34, 32.3, 30.2, 
##     33.4, 38.4, 39.4, 40.4, 40.8, 40.9, 41, 41.1, 41.2, 41.2, 
##     41, 40.5, 40.1, 39.6, 38.9, 38.2, 36.3, 33.8, 28.7, 26.9, 
##     24.7, 22.6, 20, 17.7, 14.9, -7.03, -22.1, -29, -19.3, -13.1, 
##     -6.51, 2.98, 6.48, 9.41, 17.9, 25.7, 28, 32.3, 34.2, 40.1, 
##     41.9, 43.7, 45.3, 48.7, 51.8, 52.7, 52.9, 52.2, 51.9, 51.5, 
##     50.2, 49.2, 48.2, 46.9, 39.1, 34.2, 24.7, 17.3, 13.4, 5.62, 
##     1.99, -1.72, -5.19, -21.6, -28.4, -30.1, -31.1, -31.3, -30.5, 
##     -26.2, -22.4, -17.5, -14.9, -9.36, -6.65, 47.7, 44.8, 42.4, 
##     34.6, 32, 29.4, 26.4, 20.1, 6.38, -0.93, -8.31, -11.9, -18.7, 
##     -22.1, -25.2, -32.8, -34.7, -36.4, -35.7, -33.4, -28.8, -27.1, 
##     -25.4, -21.2, -18.8, -16.8, -12.2, -7.24, -4.72, 0.57, 6.41, 
##     9.49, 12.5, 21.9, 25.2, 31.4, 34.9, 44.7, 59.4, 63.6, 67.6, 
##     69.6, 69.8, 69.8, 69.6, 67.8, 63.7, 61.6, 56.7, 35.1, 26.4, 
##     22, 13.7, 6.32, 0.1, -17.7, -19.6, -21.7, -23.4, -26.4, -28.5, 
##     -29.2, -29.6, -29.7, -29.5, -29, -28.3, -26.2, -25, -17.7, 
##     -15.9, -9.47, -6.92, -30.5, -30.4, -29.2, -28.3, -26.6, -25.9, 
##     -25.3, -24.4, -24, -23.7, -23.5, -23.1, -22.5, -22.1, -21.2, 
##     -20.4, -19.8, -19.4, -19.1, -18.9, -18.8, -18.2, -17.8, -17.3, 
##     -16.4, -17.6, -18.4, -19.1, -19.8, -23.2, -24, -24.6, -25.3, 
##     -25.8, -26.2, -26.5, -26.9, -28, -28.2, -28.7, -29, -29, 
##     -28.9, -28.6, -28.3, -28, -27.6, -27.2, -26.6, -26.1, -24.3, 
##     -22.7, -21.3, -20.6, -20.2, -19.9, -19.4, -19.5, -19.7, -20, 
##     -32.6, -32.5, -32.4, -32.2, -31.8, -31.5, -30.9, -30.5, -29, 
##     -28.3, -27.6, -23.2, -21.4, -20.5, -18.4, -17.1, -15.1, -12.4, 
##     -12.3, -12.9, -13.4, -14.6, -15.1, -15.4, -15.9, -19.3, -20.1, 
##     -21.5, -22.3, -24.2, -25.5, -26.8, -27.4, -28.5, -29.9, -30.8, 
##     -31.5, -32.2, -32.8, -34.3, -34.7, -35.4, -35.7, -35.8, -35.7, 
##     -35.5, -35, -34.7, -34.5, -34.2, -33.7, -32.8, -32.5, -31.7, 
##     -29.8, -27.3, -24.4, -22.4, -20.2, -19.1, -17.8, -16.4, -15, 
##     -13.6, -10.6, -8.04, -5.8, -4.13, -7.94, -9.31, -10.6, -13.4, 
##     -16.2, -19.2, -20.4, -21.7, -22.8, -23.9, -24.7, -25.8, -26.1, 
##     -28.6, -30.8, -32, -32.7, -32.4, -32.2, -32, -31.6, -30.7, 
##     -29.7, -28.5, -27.7, -23.1, -21.1, -17.1, -13.7, -11.7, -9.26, 
##     -6.27, -2.92, 0.82, 4.32, 1.78, -2.6, -8.13, -12.4, -21.6, 
##     -23.9, -27.4, -29.2, -34.4, -34.7, -34.5, -34.3, -34.4, -19.9, 
##     -20.8, -21.4, -23.8, -24.7, -31.9, -33.2, -38.5, -40.1, -43, 
##     -46, -49.2, -53, -58.5, -60.3, -65.8, -43.1, -34.9, -33.5, 
##     -27.8, -24.8, -21.8, -20.4, -19.6, -19.5, -17.5, -16.8, -16.3, 
##     -15.9, -14.5, -14.6, -14.8, -22.8, -25, -26.9, -29.3, -31.6, 
##     -36.4, -39, -41.2, -50.9, -60.7, -75.3, -77.7, -82.4, -84.4, 
##     -86.5, -88.2, -90.7, -91.3, -90.8, -89.7, -86.6, -78.9, -73, 
##     -66.9, -57.8, -49.4, -40.2, -36.8, -35.4, -34.3, -33.4, -31.7, 
##     -31.6, -31.6, -31.6, -31.4, -31.2, -30.5, -29.9, -29.3, -27.6, 
##     -25.1, -22, -18.3, -16, -11.9, -9.73, -7.78, -1.89, 0.02, 
##     1.82, 5.32, 14.6, 16.5, 22.9, 24.3, 24.3, 23.5, 22.8, 21.2, 
##     19.1, 18, 15.2, 10.3, 6.3, 4.41, 2.24, 0.33, -13.6, -18.7, 
##     -31, -33.2, -37.2, -40.5, -43.4, -27.3, -34.6, -38.1, -39.7, 
##     -41.1, -44, -47.8, -49, -51.4, -52.6, -53.8, -54.9, -56.9, 
##     -59.4, -59.6, -56.3, -52.9, -51.6, -48.9, -47.3, -45.8, -42.3, 
##     -40.5, -38.7, -34.7, -32.5, -25.9, -16.4, -11.7, -9.17, -6.92, 
##     -4.64, -0.14, 1.94, 4.43, 6.74, 17.9, 20, 28.3, 30, 30.4, 
##     27.1, 26.1, 24.9, 17.8, 15.8, 9.41, 7.06, 2.71, -4.68, -9.45, 
##     -24.5, -27, -36.2, -37.7, -39.1, -41.6, -42.8, -47.6, -51.2, 
##     -51.8, -52.3, -52.7, -53, -53.2, -53, -52.6, -52.1, -50.6, 
##     -48.6, -46.4, -45.1, -42.2, -35.3, -33.5, -31.5, -27.3, -22.7, 
##     -15, -9.82, 4.26, 6.52, 8.24, 10.2, 12, 13.6, 15.4, 17.1, 
##     18.6, 23.6, 24.9, 26.4, 27.8, 29, 32.1, 32.1, 31.2, 29.5, 
##     19.4, 15.4, 13.5, 6.82, 4.53, 2.04, -0.17, -4.96, -9.62, 
##     -30.5, -32.5, -40.3, -45.4, -46.7, -49.4, -51.9, -53.1, -57.6, 
##     -59.6, -60, -60.6, -60.5, -59.7, -57.1, -56.2, -54.3, -53.1, 
##     -51.8, -47.1, -41.1, -36.8, -34.6, -30, -23.4, -21.4, -17, 
##     3.44, -1.03, -10.4, -12.9, -25.5, -30.4, -40.5, -42, -43.4, 
##     -44.7, -51.7, -55.5, -59.7, -60.2, -60.8, -60.4, -59.6, -59, 
##     -58.4, -57.7, -57, -53.8, -50.9, -49.2, -45.4, -28.4, -26.2, 
##     -6.46, -4.48, -2.47, 5.82, 9.99, 12.2, 18.4, 20.2, 21.9, 
##     24.9, 27.1, 27.9, 28.6, 29, 29.1, 28.3, 27, 26.2, 25.2, 18.2, 
##     4.54, -0.19, -2.46, -7.88, -10.5, -26.6, -29, -33.3, -35.1, 
##     -37.1, -38.7, -45.5, -47, -49.8, 85.2, 76.7, 71.8, 67.2, 
##     62, 37.9, 33.2, 23.8, 18.7, 3.36, -0.69, -5.53, -7.73, -7.17, 
##     -4.15, 1.07, 10.8, 18.6, 37.2, 50.7, 61.6, 68.6, 71.7, 81.1, 
##     87.1, 90.1, 92.8, 95.9, 98.5, 102, 104, 112, 114, 120, 122, 
##     124, 124, 124, 123, 123, 122, 119, 117, 112, 110, 105, 102, 
##     98.6, 88.5, 84.5, 62.3, 57.7, 44.8, 37.1, 33.4, 24.9, 20.4, 
##     16.3, 5.42, 3.69, 2.46, 1.84, 1.64, 2, 3.08, 6.65, 11.5, 
##     32.3, 44.7, 49.1, 52.7, 68.7, 74.6, 77.2, 80, 82.7, 85.4, 
##     91.2, 94, 100, 104, 111, 114, 116, 120, 123, 125, 126, 126, 
##     125, 125, 124, 122, 119, 117, 115, 112, 110, 107, 98.1, 95, 
##     91.6, 77.6, 61.9, 53.7, 92.6, 94.8, 99.1, 103, 107, 115, 
##     117, 119, 120, 123, 123, 123, 124, 123, 123, 122, 121, 120, 
##     119, 115, 113, 110, 106, 97.2, 94.5, 91.7, 82.4, 79.2, 75.6, 
##     68.5, 64.8, 60.7, 56.6, 42.6, 26, -10.2, -16.3, -22.4, -28, 
##     -33.4, -38.2, -42.4, -45.7, -48.5, -50.9, -50.6, -41.5, -22.3, 
##     -16.4, -10.3, -4.99, 18.7, 24.6, 35.8, 40.6, 45.8, 50.7, 
##     55.1, 69.1, 73.9, 83.5, 94.1, 111, 120, 133, 134, 136, 138, 
##     138, 137, 136, 133, 132, 127, 124, 121, 117, 113, 105, 101, 
##     81.1, 64, 58.6, 52.1, 39.7, 33.8, 27, 21.3, -18, -28.2, -40, 
##     -43.5, -49.2, -51.6, -53.4, -54.7, -55.1, -54.7, -53.5, -45.8, 
##     -23.4, -17.4, -11.6, -6.13, 18.7, 24.2, 35.5, 40.2, 61.3, 
##     65.2, 84.6, 89.3, 93.6, 114, 119, 122, 131, 134, 138, 137, 
##     135, 134, 132, 130, 127, 124, 108, 94.2, 89.4, 78.5, 67.4, 
##     61.5, 55.7, 36.6, 30, 24.1, 12.6, -10.8, -22.6, -28.2, -38, 
##     -42.6, -46.7, -50.6, -58.4, -54.2, -39.9, -35.1, -24.3, -12.7, 
##     -6.67, -1.5, 4.67, 22.8, 28.3, 33.8, 38.9, 44, 48.7, 62.9, 
##     67.2, 71.4, 76.1, 83.7, 87.9, 96.5, 106, 111, 120, 127, 129, 
##     132, 133, 136, 136, 129, 108, 104, 84, 78.7, 73, 67.3, 48.1, 
##     34.8, 21.3, 2.43, -10.4, -40.3, -44.9, -49.3, -53.2, -60.5, 
##     -65.4, -66.5, -65, -54.1, -50.3, -41.3, -25.8, -13.5, -7.49, 
##     4.4, 10.3, 22, 62.3, 67.1, 81.3, 86.7, 97.4, 102, 113, 122, 
##     127, 132, 134, 135, 137, 138, 139, 138, 138, 130, 127, 121, 
##     99.1, 94.2, 82.9, 77, 70.7, 64.5, 44.6, 37, 30.3, 9.54, -9.39, 
##     -15.4, -33.9, -43.6, -47.5, -51.5, -55.1, -61.2, -63.8, -61.6, 
##     -59.2, -56.4, -53.2, -49.6, -26.1, -20.5, -8.29, -2.5, 15.4, 
##     21, 26, 31.2, 35.8, 40.6, 54.2, 67.3, 71.6, 80.3, 96.2, 100, 
##     112, 115, 118, 129, 130, 132, 134, 135, 135, 133, 131, 129, 
##     127, 125, 120, 111, 107, 103, 99.2, 80.8, 76.1, 70.8, 54.3, 
##     48.3, 35.8, 29.5, 23, 10.4, -2.08, -8.91, -15.9, -22.5, -55.1, 
##     -57.3, -58.6, -58.7, -57.7, -55.7, -53, -49.9, -38.5, -34, 
##     -28.8, -18.1, -12.7, 9.53, 14.7, 26, 31, 36, 45.3, 50.3, 
##     72.2, 80.8, 94, 98.3, 103, 117, 129, 131, 135, 136, 136, 
##     136, 130, -51.1, -55.8, -55.6, -50.3, -47.4, -36.3, -23.1, 
##     -17.9, -12.6, 20.4, 31.5, 41.8, 47.2, 51.6, 61.1, 78.7, 83.5, 
##     87.9, 93, 97.6, 66.9, 64, 54.4, 51.1, 44.8, 42.1, 25.2, 23.3, 
##     8.52, 7.32, 20.7, 36.9, 41, 52.8, 63.6, 69.7, 75.3, 77.9, 
##     82.9, 85.1, 89.9, 96.5, 101, 106, 107, 108, 108, 106, 102, 
##     100, 98, 95.8, 93.8, 86.7, 84.4, 82, 79.6, 76.8, 56.9, 51.4, 
##     48.9, 42, 39.7, 34.6, 32.2, 29.6, 27.2, 19.5, 16.8, 14.2, 
##     11.7, 9.16, 5.9, 5.13, 7.15, 17.9, 26.7, 43.1, 46.9, 50.3, 
##     56.3, 58.8, 62.9, 69.9, 76.9, 79.5, 81.8, 84.6, 91.7, 94, 
##     100, 102, 104, 105, 106, 107, 107, 105, 104, 102, 101, 98.6, 
##     90.1, 88, 85.8, 83.2, 80.9, 78.4, 72.7, 66.5, 63.2, 56.7, 
##     53.9, 48.4, 40.1, 26.8, 24.3, 19.3, 16.4, 9.61, 8.35, 7.61, 
##     8.31, 10.2, 16.7, 20.9, 36.7, 40.7, 60.2, 62.8, 65.4, 70.2, 
##     72.5, 74.8, 76.8, 78.9, 81, 83, 94.6, 102, 103, 105, 106, 
##     103, 98.2, 96.3, 94.1, 89.6, 84.6, 76.6, 73.7, 61.2, 58.1, 
##     55, 45.3, 38.1, 34.4, 27.1, 20.3, 9.85, 9.15, 18.9, 27.4, 
##     31.4, 36, 44.5, 48.7, 60.4, 63.7, 66.3, 79.2, 84.2, 88.9, 
##     98.5, 103, 111, 114, 114, 114, 113, 112, 108, 101, 98.2, 
##     95.1, 81.5, 77.2, 72.9, 68.9, 60.3, 44.9, 38.1, 34.7, 24.3, 
##     20.7, 13.6, 9.66, -4.31, -1.47, 0.57, 10.2, 20.9, 41.5, 56.8, 
##     61, 64.4, 81.4, 87.5, 96.4, 114, 117, 117, 117, 118, 118, 
##     118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 
##     118, 118, 118, 119, 119, 118, 118, 118, 117, 117, 117, 116, 
##     115, 114, 113, 110, 108, 102, 96.3, 91.8, 86.8, 81.1, 64.9, 
##     61.7, 30.3, 34.7, 38.7, 42.5, 46.4, 49.6, 52.4, 57.4, 59.3, 
##     61.2, 62.7, 64.3, 65.5, 66.7, 68.6, 68.1, 67.6, 63.7, 62.2, 
##     57.1, 53.3, 49.2, 42.4, 39.3, 26.6, 13.7, -3.07, -21.9, -44.4, 
##     -47.6, -46.9, -39, -35.1, -30.1, -24.6, -18.6, -4.04, 3.09, 
##     8.06, 32.2, 35.8, 38.9, 51.9, 56.6, 59.8, 66.7, 68.1, 70.1, 
##     70.7, 71.1, 71.6, 71.3, 70.8, 70.2, 69.4, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, -80.4, -81.2, -82.9, -83.4, -84.1, -84.6, 
##     -85.1, -85.8, -86, -86, -86, -85.9, -85.6, -85.1, -84.8, 
##     -83.9, -82.6, -81, -80.1, -72.2, -73.5, -76.3, -79.4, -85.3, 
##     -86.3, -87.1, -91.2, -92, -92.6, -92.9, -93.3, -94, -94.3, 
##     -95.7, -96.1, -96, -94.9, -93.1, -90.6, -89.1, -85.8, -24.5, 
##     -23.7, -22.2, -21.3, -21, -20.7, -19.6, -19.2, -19, -18.8, 
##     -18.7, -18.5, -19.1, -19.8, -20.6, -21.5, -23.3, -28.9, -30.7, 
##     -32.3, -38.7, -43.2, -44.6, -46.2, -52.1, -55, -59.5, -64.7, 
##     -66.3, -71.3, -72.6, -75.3, -77.6, -78.6, -79.7, -85.4, -86.4, 
##     -87.3, -88.3, -90.6, -91.2, -91.7, -93.2, -93.5, -73.6, -72.2, 
##     -69.6, -68.2, -67, -65.8, -64.6, -61.7, -56.5, -52.4, -52.1, 
##     -51.2, -50.9, -50.6, -50.1, -49.8, -49.5, -49.2, -48.7, -48.4, 
##     -39.5, -38.3, -37.5, -36.7, -32.2, -30.9, -29.5, -28.1, -26.5, 
##     -24.9, -23, -20.8, -16, -12.8, -9.76, 6.25, 11.1, 27.9, 31, 
##     33.7, 36.4, 28.3, 22.1, -27.3, -27.4, -27, -26.8, -26.6, 
##     -26.2, -25.8, -25, -24.5, -24, -22.6, -20.1, -18.2, -17.1, 
##     -14.2, -12.5, -7.5, -4.41, -0.66, 8.81, 19.8, 24.8, 29.2, 
##     33.8, 37.2, 40.3, 42.6, 44.5, 45.6, 46.3, 46.2, 42.2, 39.9, 
##     37.2, 26.9, 23.5, 20.3, 16.9, -2.81, -4.71, -7.1, -10.7, 
##     -16, -20.5, -24.2, -28.9, -30, -31.1, 0.09, 3.71, 18.3, 21.2, 
##     27.5, 27.9, 27.2, 25.3, 24.2, 21.4, 19.8, 16.2, 14, 7.5, 
##     2.29, -3.5, -4.76, -6.88, -8.09, -9.34, -12.6, -17.1, -18.7, 
##     -21.8, -24.4, -32.9, -34.6, -35.5, -36.4, -37.1, -37.8, -38.8, 
##     -39.5, -40, -41, -41.2, -41.4, -41.5, -41.4, -41.2, -41, 
##     -40.2, -35.6, -33.7, -32.8, -31.8, -30.8, -29.6, -26.1, -23.9, 
##     -21.4, -15.4, -6.03, 1.01, 4.57, 7.52, 10.9, 13.7, 20.8, 
##     24.9, 27.3, 26.4, 24.7, 22, 20.5, 18.8, 15.2, 13.6, 8.78, 
##     6.76, 6.03, 5.04, 3.36, 1.5, -6.51, -10.5, -21.4, -23.1, 
##     -33.1, -34.1, -37.8, -40.7, -42.6, -43.1, -43.8, -46.5, -47.2, 
##     -47.6, -47.8, -48.4, -48.7, -49.3, -49.7, -49.7, -49.5, -48.5, 
##     -46.9, -43.5, -42.1, -39.5, -35.3, -33.8, -16.3, -12.9, -8.9, 
##     -5.27, -1.9, 9.52, 12.7, 22.8, 23.8, 21.5, 20.5, 19.4, 16.2, 
##     12.3, 9.93, 8.38, 2.51, 0.67, -1.3, -2.98, -9.26, -17.6, 
##     -24, -33.7, -35.9, -39.4, -41.6, -42.7, -43.5, -43.7, -43.9, 
##     -44.1, -44.4, -44.6, -44.9, -45, -45.1, -44.4, -43.9, -43.4, 
##     -42.7, -41.1, -40.1, -38.9, -37.3, -35.6, -31.9, -13.6, -15.9, 
##     -26.5, -28.2, -31.2, -33.9, -35.3, -41.5, -42, -43.4, -43.8, 
##     -45.6, -45.7, -45.8, -46.1, -47.1, -27.4, -18.4, -14.9, 4.32, 
##     10.3, 27.1, 31.5, 34.6, 37.1, 39.1, 40.9, 42.9, 42.7, 42.3, 
##     41.6, 38.1, 32.5, 30.3, 22.1, 15.7, 12.8, 10.2, 7.07, 4.3, 
##     1.85, -3.44, -35.7, -37, -37.5, -39.4, -40.1, -40.5, -40.7, 
##     -41, -42.1, -42, -41.2, -40.6, -38.3, -37.5, -35.5, -31.8, 
##     -26.7, -20.4, -17.9, -12.5, 18.6, 15.1, 3.82, -0.18, -2.09, 
##     -5, -8.19, -10.2, -16, -17.1, -21.1, -22, -22.6, -23.1, -23.6, 
##     -24, -24.7, -25.7, -25.9, -26.7, -26.8, -26.9, -27, -46.7, 
##     -46.2, -45.9, -45.7, -44.8, -44.5, -44.2, -43.9, -43.5, -43.1, 
##     -42.8, -42.1, -40.4, -40.2, -39.8, -39.6, -39.6, -39.7, -39.9, 
##     -40, -40.3, -40.4, -40.7, -40.8, -40.9, -41.1, -41, -40.9, 
##     -94.9, -94.5, -94.2, -94.1, -94, -94.6, -95.8, -96, -95.3, 
##     -93.8, -92.9, -91.7, -90.6, -89.1, -84.5, -79.5, -77.8, -76.3, 
##     -78.8, -73.5, -71.4, -62.3, -52.6, -47.8, -46.4, -44.8, -42.2, 
##     -40.9, -39.5, -37, -32.3, -28.1, -26.9, -26.2, -25.1, -27.9, 
##     -27.4, -27.5, -27.6, -27.7, -28.3, -28.7, -29.2, -29.9, -31.9, 
##     -37.3, -38.9, -41.9, -45.1, -48.2, -55.6, -57, -58.3, -59.8, 
##     -61.2, -62.7, -65.4, -67, -69.6, -69.3, -64.3, -61.9, -59.2, 
##     -53.9, -51.5, -48.1, -46.9, -45.7, -44.6, -43.4, -39.6, -34.5, 
##     -31.4, -30.8, -29.8, -29.5, -29.2, -11.6, -8.81, -6.82, -5.61, 
##     -5.89, -8.17, -10.3, -22.7, -27.4, -29.8, -34.9, -49.9, -55.8, 
##     -59.4, -70.1, -71.8, -73.4, -76.5, -82.4, -83.9, -85.5, -87.1, 
##     -90.1, -94.4, -95.7, -98.5, -99.2, -20.1, -17.6, -17, -16.5, 
##     -16.1, -15.9, -15.8, -16.3, -16.7, -17.2, -17.7, -18.3, -19, 
##     -19.7, -21.3, -23.5, -24.7, -26, -28.9, -30.6, -35.1, -36.6, 
##     -41.1, -44, -46.8, -56.3, -57.6, -70.1, -71.7, -73.1, -77.3, 
##     -81.7, -89.1, -94.9, -96.4, -97.8, -99, -101, -100, -99.3, 
##     -98.1, -96.8, -95.2, -89.8, -87.7, -85.5, -83.3, -80.9, -71, 
##     -61.9, -59.7, -57.7, -53.5, -49.5, -45.6, -43.4, -41.6, -39.7, 
##     -36.2, -29.5, -27.7, -26.2, -21.5, -16.5, -11.8, -11.2, -10.7, 
##     -10.4, -10.2, -10.8, -12.5, -13.2, -14, -16, -18.5, -27.2, 
##     -28.8, -36.1, -38.1, -42.1, -45.5, -47.3, -48.9, -50.5, -52.2, 
##     -53.8, -57.1, -62.3, -64, -72.7, -76.4, -78.1, -79.9, -81.2, 
##     -54.8, -52.5, -50.2, -48, -45.9, -43.9, -36.8, -35.2, -30.9, 
##     -28.2, -25.4, -24.1, -22.9, -21.8, -20.7, -19.1, -18, -17.9, 
##     -18, -18.2, -18.7, -21, -22.5, -23.2, -24.1, -26.3, -27.6, 
##     -30.4, -33.4, -38.1, -39.6, -41.2, -42.8, -97.7, -94.4, -86.3, 
##     -83.9, -79.2, -76.6, -71.8, -66.8, -64.3, -62, -59.8, -57.2, 
##     -50.8, -46.5, -44.6, -42.8, -39.4, -36.2, -30.5, -29.3, -28.2, 
##     -27.1, -26.2, -23.1, -22.5, -21.4, -20.4, -20, -19.6, -19.4, 
##     -12.8, -6.5, -2.58, 1.4, 5.04, 12.6, 16.4, 23.9, 25.7, 28.8, 
##     31.2, 30.4, 28.3, 25.8, 16.2, 14.1, 12.1, 7.49, -9.96, -7.78, 
##     -0.94, 1.38, 3.66, 5.92, 8.29, 10.6, 12.5, 14.6, 18.1, 20.7, 
##     21.9, 22.8, 24.2, 22.9, 21.9, 20.9, 19.6, 15.2, 13.6, 11.7, 
##     7.97, 4.02, 1.99, -2.09, -4.1, -6.29, -8.36, -10.5, -21.3, 
##     -23.3, -45.8, -47.1, -49, -50.4, -51.2, -51.4, -51.3, -51.1, 
##     -50, -49, -45.4, -34.1, -30.4, -28.5, -12.3, -69.2, -74, 
##     -75.7, -78.6, -85, -88.3, -96.9, -98.4, -103, -104, -104, 
##     -102, -101, -99.8, -95, -93.1, -91.3, -89.2, -86.9, -79.6, 
##     -74.4, -71.8, -69.3, -64.5, -57.6, -55.3, -49, -46.9, -44.5, 
##     -49.3, -52.6, -54.2, -55.9, -61.3, -63.3, -67, -75.2, -77.2, 
##     -79.6, -88.4, -94.2, -102, -103, -103, -103, -101, -100, 
##     -82.7, -90.1, -91, -92.4, -93.1, -95.7, -96.1, -96.1, -94.9, 
##     -92.1, -89.3, -86.1, -84.2, -80.6, -78.8, -75.1, -73.2, -71.3, 
##     -63.5, -61.4, -59.1, -56.9, -99.6, -99.7, -99.7, -99.4, -98.1, 
##     -93.5, -91.9, -86.1, -81.8, -79.6, -77.2, -70.2, -67.4, -64.9, 
##     -59.6, -51.3, -48.8, -46.3, -39.5, -37.3, -35.5, -33.8, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 106, 93.7, 
##     89.7, 84.8, 31.5, 17.3, 2.72, -4.74, -43.4, -50.5, -52.9, 
##     -54.8, -55.6, -54.8, -40.1, -35.4, -24.7, -12.4, 5.64, 1.17, 
##     7.29, 14.2, 56.8, 67.2, 74.4, 81.8, 85.6, 89.7, 102, 107, 
##     111, 116, 125, 129, 130, 131, 132, 132, 131, 130, 127, 124, 
##     122, 116, 113, 74.5, 67.2, 59.2, 51.4, 47.5, 43.6, 38.8, 
##     30.6, 25.9, 11.4, 7.7, 4.74, 1.3, 2.17, 3.7, 5.62, 8.18, 
##     10.6, 13.6, 24, 27.9, 31.6, 45.4, 48.8, 56.4, 62.4, 65.6, 
##     73, 75.5, 77.9, 80.1, 90.1, 88.3, 91.1, 104, 108, 112, 114, 
##     116, 117, 118, 121, 122, 123, 123, 122, 121, 120, 119, 114, 
##     105, 102, 99.7, 91.2, 88.4, 81.6, 78.1, 39.2, 36, 26.5, 19.6, 
##     13, 8.33, 6.81, 5.51, 4.59, 4.84, 5.7, 10.5, 21, 24.2, 26.9, 
##     30.8, 41.6, 45.1, 57, 59.4, 64.2, 71.5, 73.6, 76.2, 78.5, 
##     80.9, -20.3, -20.5, -20.7, -20.7, -20.6, -20, -19.5, -19.4, 
##     -19.9, -20.3, -21.1, -22, -22.8, -24.8, -25.5, -26.1, -28, 
##     -29, -29.4, -29.8, -30.3, -32.3, -33, -33, -32.9, -32.9, 
##     -1.33, 1.67, 11.2, 30.1, 39.7, 53, 54.2, 54.5, 45.5, 43.7, 
##     37.7, 32.8, 26.5, 11.9, 2.11, -6.05, -8.21, -12.3, -14.3, 
##     -16, -17.4, -18.8, -22.8, -1.02, 13.8, 20.4, 23.2, 26.4, 
##     29.4, 39.7, 43, 44.3, 46.3, 47.3, 47.5, 47.6, 47.7, 28.8, 
##     25.6, 23.7, 18.8, 16.2, 12.9, -10.4, -14.5, -18.9, -23.2, 
##     -27, -33.9, -34.2, -33.7, -32.1, -29.9, -27.2, -21.1, -10.3, 
##     -3.05, 0.61, 4.34, 8.03, 31.1, -10.3, -6.05, -1.28, 8.67, 
##     13.8, 18.7, 27.5, 31.4, 34.9, 38.7, 43.8, 46.1, 49, 50.9, 
##     52.9, 56.5, 58.1, 59.6, 62.3, 65.6, 65.7, 60.9, 59.5, 58, 
##     56.2, 48.7, 46.8, 39.7, 31, 26.7, 58.8, 52.4, 45.4, 41.5, 
##     38.2, 34.2, 30.9, 26.9, 4.7, -10.8, -26.9, -36.5, -39.7, 
##     -41.9, -41.4, -32.3, -13.8, -9.81, -5.23, -1.59, 7.66, 13.7, 
##     19.5, 25, -43.7, -38.1, -31.7, -18.5, -4.49, 7.99, 41.7, 
##     46.5, 48.3, 52.3, 54.6, 61.2, 73.7, 78.6, 80.7, 91.6, 92.8, 
##     93.6, 94.2, 94.4, 94.2, 93, 91.9, 91.3, 90.9, 90.1, 90, 90, 
##     90.2, 90.3, 91.2, 91.7, 91.9, 91.8, 91.3, 90.9, 90.4, 90.5, 
##     91.2, 91.5, 91.7, 0, 0, 0, 67.3, 61.1, 57.4, 53.6, 44.7, 
##     22.5, -11.4, -35.9, -41.1, -46.2, -54.2, -57.9, -61.8, -65.4, 
##     -69.1, -72.4, -79, -82.2, -85.1, -93.1, -95.7, -100, -102, 
##     -111, -112, -114, -114, -111, -108, -105, -88.8, -82.3, -72, 
##     -68.4, -64.4, -56.6, -48.1, -43.2, -34.1, -19.4, -4.35, 6, 
##     29.9, 34.8, 43.2, 47, 50.4, 56.4, 58.8, 62.9, 66.4, 64.3, 
##     55.6, 50.4, 44.2, 40.6, 36.8, 28.2, 23.3, 13.8, -0.65, -6.35, 
##     -18.2, -23.9, -39.9, -49.3, -52.8, -56.6, -69.1, -71.8, -77.8, 
##     -83.5, -86.2, -96.4, -101, -104, -107, -108, -110, -110, 
##     -110, -109, -108, -105, -103, -99.8, -97.9, -93.4, -90.8, 
##     -79, -75.3, -64.2, -60.2, -55.6, -50.6, -27.8, -9.22, 12.3, 
##     19.6, 34.5, 45.7, 50.5, 62.4, 68.5, 73.7, 75.6, 77, 78.1, 
##     77.2, 75.9, 74.1, 66.6, 59.4, 55.2, 50.6, 40.1, 29, 18, 12.9, 
##     6.96, -5.55, -11.3, -17.3, -22.7, -37.6, -42.3, -57.8, -61.1, 
##     -72.5, -75.4, -80.5, -85.6, -96.3, -100, -102, -108, -109, 
##     -110, -111, 9.38, 21.2, 39.3, 48.6, 60.3, 63.1, 68.5, 70.8, 
##     72.6, 75.2, 76, 76.4, 66.7, 64.5, 63.5, 62.4, 59.5, 58, 56.4, 
##     54.6, 52.8, 49, 23.7, 18.7, -2.29, -8.96, -26.5, -37.9, -55.9, 
##     -72.1, -73.2, -72.4, -68.3, -65.4, -62, -57.5, -51.7, -45.3, 
##     -37.7, -31.6, -25.7, 10.3, 21.7, 31, 37.9, 46.3, 48.5, 50.4, 
##     52.2, 55.6, 58.6, 60.3, 64.3, 65.3, 67.1, 67.9, 64.3, 63.1, 
##     61.7, 58.4, 56.6, 54.5, 52.3, 49.9, 44.8, 39.1, 36.1, 32.5, 
##     24.3, 14.6, 9.75, -15.7, -23.8, -31.3, -57.8, -60, -60.9, 
##     -60.5, -59.1, -45.9, -40.6, -35, -29.2, -23, -17.8, -7.94, 
##     3.34, 10.1, 15, 20.5, 28.8, 32.3, 35.3, 38.7, 41.4, 49, 50.6, 
##     52, 54.7, 55.9, 57.3, 59.4, 60.9, 62, 61.7, 60.6, 57.4, 52.8, 
##     45, 35.9, 33.4, 30.6, 27.4, 20.3, 16.6, 12.5, 4.18, -6, -11.6, 
##     -23.4, -28.5, -34.6, -46.4, -51.5, -55.6, -58, -58.8, -58.2, 
##     -56.3, -50.3, -46.2, -41.1, -35.7, -29.7, -10.5, -1.47, 8.35, 
##     21.8, 25.4, 29.5, 36, 40.9, 42.8, 44.9, 46.9, 49, 59.9, 62.7, 
##     65.6, 66.4, 65.9, 65.3, 64.5, 62.2, 60.9, 59.2, 57.6, 53.9, 
##     47.2, 42.1, 20.7, 16.2, 11.7, 7.06, 2.46, -3.45, -9.26, -17.3, 
##     -31.1, -43.2, -53.1, -57.1, -60.2, -62.6, -61.9, -60.6, -56.4, 
##     -53.7, -46.5, -37.4, -26.8, -22.6, 94.3, 94.3, 94.6, 94.7, 
##     95.3, 95.6, 96, 96.1, 96.2, 96.2, 96.2, 96.1, 96, 96, 96, 
##     96, 95.8, 95.7, 95.1, 94.8, 94.2, 93.1, 90.1, 87.9, 85.2, 
##     84.1, 82.8, 81.1, 52, 19.3, 10.4, -11.1, -37.2, -67.5, -79.5, 
##     -83.8, -87.8, -95.1, -101, -104, -106, -109, -110, -111, 
##     -111, -111, -111, -110, -110, -109, -108, -107, -106, -95.2, 
##     -84.2, -73.3, -51.4, -44.5, -20.4, 20.1, 26.7, 32.2, 36.9, 
##     45.1, 48.3, 52.1, 62.8, 66.4, 70.3, 84.4, 96.1, 98.5, 99, 
##     99.1, 97.6, 96.5, 93.7, 89.6, 84.2, 78.3, 71.4, 59, 43.5, 
##     37.9, 31.9, 26.4, 19.2, 11.4, 3.55, 25.9, 31.4, 37.2, 41.9, 
##     50.5, 54, 57.4, 60.5, 63.4, 66.2, 68.9, 71.6, 79.6, 83.5, 
##     83.2, 82.6, 81.6, 80.5, 79.1, 77.7, 75.7, 73.9, 71.6, 63.8, 
##     60.2, 47.6, 42.5, 37.2, 30.4, 24.9, 18.4, 11.2, 3.67, -13.7, 
##     -39.3, -48.5, -57, -71, -81.5, -97.4, -105, -106, -105, -105, 
##     -102, -101, -97.3, -92.9, -90.3, -87.2, -83.9, -66.2, -28.3, 
##     5.16, 12.6, 25.8, 38, 69.7, 77.2, 80.7, 83.8, 94.2, 95.9, 
##     96.9, 96.6, 92.7, 90.7, 86.3, 83.4, 73.7, 64.4, 41.1, 19.5, 
##     2.85, -5.06, -38.1, -52.7, -76, -84.5, -88.2, -100, -99.3, 
##     -98.1, -96.8, -93.2, -91, -82.4, -78.7, -74.5, -64.6, -46.5, 
##     -33.1, -26.7, -19.9, -12.6, -5.96, 9.14, 22.9, 34.1, 38.8, 
##     78.2, 87.1, 89.4, 91.5, 93.4, 95.8, 95.2, 94.1, 88.8, 86.6, 
##     83.8, 69.2, 59.6, 54.3, 48.9, 42.8, 36.5, 29.7, 24, 2.49, 
##     -12.2, -19.3, -26.3, -39.8, -46.4, -52.5, -57.3, -61.4, -64.8, 
##     -70.9, -75.1, -76.5, -77.4, -73.1, -69.4, -61.2, -53.6, -49.1, 
##     -44.8, -34.4, -29, -23.9, -18.8, -13.6, -7.56, -1.82, 25.5, 
##     38, 47.9, 58.6, 65.4, 77.7, 80.2, 86.7, 91.6, 92.9, 93.8, 
##     94.3, 94.7, 92.9, 91.8, 90.2, 88.1, 80.2, 76.6, 72.9, 68.8, 
##     64.1, 59.9, 54.7, 44.4, 28, 22.5, 16.9, -26.8, -43.4, -47.4, 
##     -54.2, -57.2, -60, -62.3, -67.2, -68.1, -67.7, -64.3, -58.5, 
##     -56.3, -50.4, -43.3, -38.9, -29.5, -24.8, -20, -5.76, 6.53, 
##     13.1, 25.5, 31, 45.5, 57.6, 61.1, 65.2, 87.9, 91.3, 102, 
##     109, 111, 113, 115, 116, 117, 115, 112, 109, 99.3, 91.6, 
##     86.9, 63.2, 32, 15.5, -1.82, -13.6, -25.5, -37.1, -41.8, 
##     -53.5, -56.6, -59.4, -61.7, -63.4, -64.6, -63.3, -61.9, -60.3, 
##     -58.5, -56.1, -46.7, -42.7, -34.1, -9.88, -4.35, 1.15, 7.7, 
##     32.8, 38.5, 53.3, 71.8, 76, 89, -34.9, -34.9, -34, -34.1, 
##     -34.3, -34.4, -34.6, -34.5, -34.1, -34.7, -35.2, -35.7, -36.3, 
##     -37.1, -37.7, -38.5, -39, -39.7, -40.3, -40.9, -41.6, -46.9, 
##     -47.5, -50.9, -52.6, -54.3, -54.9, -52.8, -45.5, -42.4, -23.9, 
##     75.8, 91.3, 100, 105, 112, 115, 118, 117, 67.5, 46.9, -5.58, 
##     -29.2, -35.4, -38.8, -41.4, -48, -55.3, -56.5, -58, -61.5, 
##     -63, -64.5, -67.3, -69.6, -71.5, -72.9, -76.3, -77.2, -78.9, 
##     -79.7, -80.4, -80.9, -81.7, -81.8, -81.9, -80.8, -80, -77.9, 
##     -76.4, -67.1, -63.1, 53.1, 67.3, 81.1, 85, 91.2, 93.4, 95.2, 
##     94.3, 90.3, 87.6, 80.9, 75.2, 69.4, -80.5, -86.4, -88.8, 
##     -90.7, -92.3, -94.5, -96, -98.9, -102, -106, -109, -110, 
##     -112, -116, -117, -120, -122, -123, -125, -127, -128, -129, 
##     -133, -134, -136, -136, -136, -136, -135, -135, -135, -135, 
##     -135, -108, 35.5, 36.3, 36.6, 36.2, 32.2, 30.3, 30.7, 36.3, 
##     39.3, 43.1, -51, -53.6, -54.8, -59.2, -60.9, -62.7, -62.4, 
##     -62.1, -61.7, -61.1, -59.4, -57, -54.1, -52.6, -48.8, -44.9, 
##     -42.7, -38.4, -34.4, -30.3, -26.3, -24, -21.8, -19.6, -17.1, 
##     -12.4, 2.5, 4.73, 14.6, 15.8, 17.1, 18.4, 26.7, 30.1, 32.8, 
##     25.3, 23.8, 22.4, 12.6, 5.39, 0.18, -8.17, -11.2, -17, -19.7, 
##     -25.5, -31.7, -34, -36.4, -38.7, -42.8, -46.6, -49.8, -51.2, 
##     -53.7, -54.7, -55.8, -56.6, -57.5, -59.1, -59, -58.7, -57.7, 
##     -54.8, -54.1, -53.3, -51, -45, -41.1, -26, -19.5, -12.4, 
##     -9.21, -6.09, 1.85, 8.36, 10.5, 11.5, 13.5, 14.5, 15.8, 18.3, 
##     19.5, 28.8, 30, 33.7, 32.7, 31.6, 30.2, 28.8, 27.3, 8.87, 
##     2.2, -0.34, -2.79, -5.17, -7.79, -10.3, -12.7, -17.6, -27.6, 
##     -29.9, -32, -36.1, -37.8, -41, -42.5, -47.2, -51.3, -52.4, 
##     -54.5, -57.4, -58, -57.9, -56.5, -51.3, -48, -46.3, -42.1, 
##     -35, -32.8, -25.9, -21.5, -19.2, -17.1, -14.9, -10.8, -8.74, 
##     -4.5, -2.57, 1.53, 7.25, 11, 12.7, 16.9, 19.4, 21.7, 24, 
##     25.2, 28.9, 30.1, 32.8, 32.9, 31.8, 30.9, 29.8, 28.6, 20.1, 
##     17.7, 15, 9.27, 0.05, -3.13, -12, -20.9, -23.9, -26.5, -33.3, 
##     -35.1, -38.6, -40.2, -41.6, -43.2, -44.7, -46, -47.4, -48.7, 
##     -49.9, -51.3, -56.2, -57.1, -57.9, -58.6, -59.2, -59.2, -58.1, 
##     -55.6, -54.4, -53.2, -52, -44.3, -40.7, -38.4, -36.3, -31.6, 
##     -29.2, -24.1, -21.8, -16.6, -11.1, -8.55, -6.19, -1.16, 1.24, 
##     9.59, 11.3, 12.9, 14.4, 16, 18.6, 19.9, 20.9, 21.9, 25.2, 
##     26.5, 29.5, 32.9, 34.7, 38.6, 43.2, 42.7, 41.1, 37.8, 35.4, 
##     32.1, 30.9, 27.2, 24.5, 23.1, 21.7, 16.8, 15, 5.53, 3.17, 
##     -5.05, -9.14, -12.9, -16.8, -20.9, -22.9, -28.8, -34.4, -42, 
##     -45.8, -47.7, -49.4, -52.9, -56.7, -60.5, -62.4, -70.7, -72.1, 
##     -76.4, -79, -80.2, -84.2, -85.7, -87.1, -88.5, -92.7, -94.3, 
##     -97.3, -98.6, -99.9, -103, -105, -105, -106, -105, -105, 
##     -105, -104, -104, -103, -104, -104, -104, -104, -104, -105, 
##     -106, -108, -108, -110, -107, -105, -96.1, -92.8, -85.5, 
##     -82.1, -78.2, -74.6, -70.5, -66.8, -62.8, -54.5, -50.3, -46.1, 
##     -33.9, -20.9, -16.6, -8.43, -4.49, -0.26, 7.15, 11.2, 14.8, 
##     18.2, 27.3, 30.1, 36.8, 39.9, 41.2, 40.7, 37.4, 22.9, 17.4, 
##     -12.6, -15.7, -18.6, -27.4, -30.3, -33, -35.7, -41.2, -46.2, 
##     -48.6, -51.5, -56.9, -62.5, -65.3, -71, -76.9, -82.8, -91.8, 
##     -97.3, -100, -103, -108, -112, -116, -116, -114, -113, -111, 
##     -108, -105, -102, -100, -95.7, -93, -90.6, -81.7, -78.2, 
##     -74.5, -66.7, -63, -54.7, -42.3, -38.9, -35, -31.9, -28.4, 
##     -20, -14.3, -11.7, -6.47, -4.18, -1.76, 3.31, 5.48, 8.07, 
##     10.2, 14.3, 17.8, 21, 23.9, 26.9, 28.3, 31.6, 32.5, 33.1, 
##     33.7, 34, 34.1, 31.8, 29.3, 23.8, 21.4, 19, -7.09, -10.2, 
##     -15.7, -18.4, -20.9, -23.4, -26.2, -38.2, -40.6, -43.1, -47.9, 
##     -52.9, -55.4, -58.1, -60.7, -63.1, -65.9, -76.9, -79.7, -87.8, 
##     -90.1, -95, -99.1, -102, -105, -104, -102, -101, -99, -89.8, 
##     -84.2, -78.4, -75.2, -59.7, -56.4, -53.2, -49.7, -35.4, -32, 
##     -21.8, -18.7, -9.05, -2.85, 5.57, 10.7, 13.4, 16.1, 18.9, 
##     31.6, 38.5, 40.5, 42.1, 44.5, 43.9, 40.4, 36.8, 32.7, 22.8, 
##     17.2, 11.5, 8.91, 6, 3.17, -2.69, -8.25, -11, -19.7, -22.4, 
##     -25.3, -30.5, -35.5, -38.1, -40.4, -42.9, -45.4, -47.9, -57.9, 
##     -51.8, -48.3, -45.1, -41.9, -38.6, -31.7, -28.3, -24.3, -17.1, 
##     -13.3, -9.77, -2.78, 6.64, 13.6, 23.1, 24.8, 31.2, 35.5, 
##     36.1, 36.6, 37.3, 37.3, 37.1, 36.6, 34, 29.6, 27.9, 25.9, 
##     24, 21.8, 17.3, 14.9, 12.6, 10, 7.3, 2.23, -8.21, -10.4, 
##     -18.4, -24.2, -26.8, -30, -32.9, -38.9, -47.6, -50.4, -66.2, 
##     -80.6, -83.5, -88.5, -90.6, -98.8, -102, -103, -104, -104, 
##     -103, -97.2, -83.4, -81.4, -76.6, -74.2, -71.7, -66, -63, 
##     -45.3, -37.3, -21.2, -13.7, -9.65, -2.63, 0.65, 8.82, 13.6, 
##     18.2, 25.1, 34, 37.7, 40.8, 43.2, 43.1, 38.9, 32.4, 28.4, 
##     25.8, 23.1, 20.4, 14.3, 7.56, 0.59, -17.8, -21.8, -25.3, 
##     -32.7, -39.9, -43.3, -50.1, -60.3, -78.9, -81.8, -84.3, -91.5, 
##     -93.5, -95.3, -98.7, -100, -101, -105, -105, -105, -104, 
##     -103, -102, -100, -96.7, -94.8, -90.6, -82.7, -79.7, -63.1, 
##     -59, -55.1, -46.7, -38.6, -34.6, -30.4, -15.2, -7.98, 9.17, 
##     12, 14.9, 17.6, 24.9, 27.2, 37.2, 38.4, 38.6, 37.2, 36.4, 
##     35.3, 34.3, 30.4, 28.8, 27.2, 25.4, 23.3, 21, 15.9, 6.76, 
##     3.58, 0.13, -3.22, -6.19, -9.41, -13.2, -17.1, -20.5, -27.6, 
##     -40.4, -43.7, -46.6, -59.3, -65.8, -68.9, -75.9, -81.7, -95.7, 
##     -97.8, -101, -105, -104, -103, -101, -97.2, -90.8, -88.5, 
##     -83.7, -81, -78.5, -75.5, -69.7, -62.8, -46.9, -38.6, -34.2, 
##     -30, -12.4, -9.46, -3.75, -1.31, 8.42, 10.9, 16.3, 19, 29.2, 
##     33.6, 35.7, 42.9, 42.7, 41.2, 39, 34.9, 33.3, 23.3, 20.9, 
##     9.9, 3.11, -0.26, -3.49, -10.5, -14.4, -21.6, -32.1, -35.2, 
##     -38.2, -41.1, -44.6, -53.3, -65.7, -68.5, -71.8, -74.7, -83.7, 
##     -94.8, -96.9, -99.2, -101, -103, -110, -112, -114, -114, 
##     -113, 103, 108, 113, 118, 126, 128, 130, 132, 133, 134, 136, 
##     129, 127, 110, 105, 101, 95.9, 80.7, 57.8, 51.3, 45.6, 33.3, 
##     21.6, 10.3, -1.33, -7.56, -19.8, -31.2, -63.5, -63.5, -62.6, 
##     -61, -58.9, -56.2, -50.1, -37.6, -32.8, -22.9, -5.52, 6.5, 
##     11.7, 17.5, 27.7, 32.2, 41.4, 46.2, 50.4, 55.1, 80.7, 84.8, 
##     89.6, 98.9, 103, 113, 116, 134, 135, 134, 133, 130, 129, 
##     104, 90.2, 85.4, 79.8, 74.8, 63.8, 46.1, 22.2, 16.6, 11.3, 
##     0.07, -5.81, -17.9, -48.3, -52.3, -55.8, -64.9, -60.9, -58.4, 
##     -51.7, -48, -43.8, -25, -14.3, -3.78, 15.5, 19.7, 122, 121, 
##     121, 121, 121, 122, 122, 122, 122, 122, 122, 122, 122, 123, 
##     123, 123, 123, 123, 124, 124, 124, 124, 123, 122, 114, 112, 
##     110, 107, 104, 101, 93.5, 84.5, 79.1, 73.6, 61, 53.9, 46.1, 
##     1.42, -5.8, -11.7, -18.1, -33.7, -37.4, -44.1, -46.8, -50.4, 
##     -50.8, -48.7, -44.7, -39.3, -36.5, -29.6, -18.1, -10.5, -2.24, 
##     5.5, 9.44, 23.1, 26.1, 31.8, 44.3, 44.4, 42.7, 41.3, 39.6, 
##     35.4, 32.8, 30.1, 27.3, 20.1, 2.22, -2.87, -20.6, -27.1, 
##     -43.9, -56.4, -63, -59.5, -54.5, -51.7, -33.3, -28.9, -24.1, 
##     -19.5, -14.5, -10.2, -5.32, 16.3, 19.7, 23.5, 29.7, 32.4, 
##     40.7, 42.9, 45.2, 47, 50.3, 51.3, 49.7, 45.5, 43.1, 29.5, 
##     20.7, 15.9, 10.5, -6.69, -13.3, -26.5, -33.3, -39.5, -45.3, 
##     -58.9, -62.6, -65.8, -69.4, -69.8, -60.8, -54.4, -47, -43.4, 
##     -34.5, -14.1, -9.07, 9.49, 17.4, 30.4, 35.5, 41.5, 43.5, 
##     46.8, 49.2, 50.4, 48.7, 47.5, 43.8, 41.7, 39, 32.6, 29.2, 
##     25, 5.94, 0.55, -11, -37.1, -43.3, -60.8, -64.3, -72.1, -73, 
##     -70.9, -68.9, -61.2, -47, -42.5, -32.9, -27.9, -17.6, -11.9, 
##     -1.61, 7.66, 11.9, 23.4, 32.1, 39.8, 42, 45.9, 47.7, 50.5, 
##     53.3, 54.1, 53.8, 52.4, 51.3, 49.7, 41.3, 38.5, 35.4, 20.3, 
##     15.1, 10.4, 4.86, -0.4, -13.9, -27.8, -66.1, -72.5, -67.3, 
##     43.3, 38.2, 27.9, 21.9, 9.53, 3.06, -3.34, -33.5, -40.5, 
##     -45.7, -55.9, -63.6, -69.3, -71.5, -70.4, -64.1, -58.5, -55.2, 
##     -39.4, -34.6, -11.8, -5.78, -0.79, 4.91, 28.2, 32.1, 35.2, 
##     41.3, 43.9, 48.8, 51.4, 55.3, 61.9, 63.1, 64.1, 64.8, 65.2, 
##     63.5, 62.3, 54.3, 48.3, 41, 36.7, 31.4, 25.9, 20.4, 8.79, 
##     -4.66, -12.3, -27.9, -42, -48.2, -53.1, -57.7, -61.4, -65.4, 
##     -71.8, -74, -74, -60.7, -47.8, -42.4, -24.4, 0.96, 11.6, 
##     25.6, 35.9, 39, 41.6, 46.9, 55.6, 56.5, 57.1, 57.3, 57.2, 
##     56.9, 55.6, 51.8, 50.2, 46, 43.6, 41, 34.4, 30.2, 26.1, 10.8, 
##     -0.99, -8.31, -15.7, -23.6, -46.2, -56.5, -61, -65.4, -75.1, 
##     -73, -70.3, -67.3, -64, -56, -46.1, -40.6, -27.8, -20.9, 
##     -7.42, 4.12, 9.36, 14.9, 27.1, 30.6, 33.3, 38.6, 40.8, 42.9, 
##     46.5, 52.1, 53.6, 54, 53.8, 52.6, 48.8, 47, 42.4, 36.6, 19.2, 
##     -5.41, -12.4, -42.8, -53.4, -57.7, -61.5, -73.2, 59.7, 58, 
##     53.8, 51.3, 48.7, 37.2, 23.4, 17, -5.11, -22.8, -57.4, -68.1, 
##     -71.3, -74, -76.1, -77.8, -78.8, -78.4, -75.3, -73.1, -68.1, 
##     -64.9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, -48.2, -48.8, -49, -49, -48.7, -48.4, -47.8, 
##     -47.2, -45.8, -43.9, -41.4, -39.9, -36.3, -24.6, -15, -3.03, 
##     1.57, 18.7, 25.4, 27.4, 30.2, 30.9, 31.4, 31.3, 30.7, 29.8, 
##     25.8, 22.4, 20.4, 18.5, 16.2, 11.7, 9.7, 1.75, -0.31, -2.45, 
##     -4.52, -7.81, -10.1, -11.9, -13.9, -23.5, -25.2, -26.9, -28.5, 
##     -30, -34.1, -36.4, -38.4, -40.2, -41.7, -43.1, -43.7, -44.3, 
##     -45.3, -45.8, -46.2, -46.4, -46.9, -47.5, -47.8, -48.1, -48.4, 
##     -48.7, -49, -49.5, -50, -50.3, -49.3, -48.7, -48.1, -45.1, 
##     -42.2, -40.4, -38.6, -36.7, -27.7, -25, -5.32, -0.13, 4.57, 
##     10.2, 32.4, 34.2, 35.6, 36.7, 33.7, 32.3, 29, 22.2, 13.6, 
##     10.8, 2.21, -3.82, -9.99, -13.1, -16.4, -19, -21.8, -23.9, 
##     -28.1, -31.6, -33.4, -34.7, -37.7, -39.5, -40, -40.6, -41.3, 
##     -42.7, -44.9, -46.1, -47.5, -48.2, -48.5, -48.6, -48.7, -48.8, 
##     -48.9, -48.7, -48.4, -48, -47.4, -46.9, -45.6, -42.7, -41.6, 
##     -40.4, -33.3, 7.12, 11.9, 26.3, 30.5, 37.1, 39.9, 44.4, 46.2, 
##     47.5, 48.9, 49.2, 47.9, 45.1, 40.8, 37.9, 34.7, 27, 22.2, 
##     10.4, -8.58, -18.3, -23.9, -33.1, -35, -41.2, -42.2, -43.3, 
##     -44.3, -47.9, -50.1, -50.7, -52.9, -54, -54.4, -54.7, -55.1, 
##     -55.8, -55.7, -55.2, -54.4, -54, -53.4, -52.6, -50.8, -49.6, 
##     -48.4, -47, -45.5, -40.3, -35.6, -30.1, -19.1, -14.4, -9.65, 
##     1.08, 6.21, 18.9, 40.6, 45.1, 52.7, 55.6, 57.9, 59.3, 58.3, 
##     56.6, 55, 53.6, 53, 51.9, 51.3, 49.2, 47.8, 47, 46.1, 45.3, 
##     44.3, 43.1, 31.6, 28.1, 23.4, 13.9, 10, 6.33, 2.19, -8.93, 
##     -28.3, -42.9, -46.9, -58.2, -59.6, -64.8, -65.7, -66.7, -67.6, 
##     -68.6, -71.7, -72.9, -73.9, -76.9, -77.9, -78.8, -82.2, -83.1, 
##     -86.2, -88.2, -88.7, -89.6, -90.4, -91, -91.6, -92, -86.6, 
##     -86.6, -86.8, -86.8, -86.6, -86, -85.1, -84.6, -84.4, -84.4, 
##     -84.3, -84.4, -84.5, -84.7, -85.3, -85.4, -85.6, -85.7, -85.8, 
##     -86, -86.1, -86.2, -86.3, -86.3, -86.3, -86.4, -86.5, -86.7, 
##     -88.5, -90.3, -90.8, -91.1, -92, -92, -91.9, -91.8, -91.6, 
##     -91.9, -92.1, -92.1, -92.2, -92.4, -92.4, -92.4, -92.3, -91.6, 
##     -84.5, -79.5, -76, -67.4, -64.5, -61.5, -58.6, -51.9, -44.1, 
##     -39.8, -34, -21.3, 41.6, 61.6, 78.2, 88, 90.1, 92.1, 93.7, 
##     95, 96.1, 96.9, 97.6, 98.8, 98.9, 98.9, 98.3, 96.3, 95.4, 
##     94.3, 91.4, 89.6, 85.2, 82.7, 60.7, 53.5, 37.7, 29.9, 9.22, 
##     -4.32, -11, -82.5, -80.6, -78.7, -76.7, -74.7, -65.5, -51, 
##     -47.7, -44, -36.1, -31.6, -27.3, 0.98, 7.56, 23.2, 33.1, 
##     41.8, 60.7, 65.4, 79.5, 84.2, 89.6, 90.2, 90.5, 89.2, 86.6, 
##     82.6, 80.2, 74.2, 56.8, 44.9, 39.1, 25.8, 19.7, 9.02, 2.57, 
##     -25, -29.3, -33.7, -40.8, -44.2, -46.8, -56.2, -58.3, -60.7, 
##     -62.7, -65, -67, -72.3, -74.1, -78.5, -88.7, -95.4, -96.8, 
##     -103, -103, -101, -98.4, -96.5, -94.7, -87.9, -80.2, -74.4, 
##     -71.4, -65.4, -62.3, -52.5, -48.9, -45.3, -37.1, -32.6, -18.6, 
##     -13.8, -2.39, 3.42, 10.2, 24.4, 38.2, 44.1, 53.1, 60.1, 63.3, 
##     74.8, 75.8, 76.7, 77, 76.4, 75.5, 74.4, 73.2, 71.7, 68.1, 
##     63.6, 60.9, 57.8, -73.3, -78.1, -80.8, -85.9, -88.1, -94.9, 
##     -104, -105, -108, -108, -108, -102, -92.6, -90.1, -57.1, 
##     -41.4, -37, -7.08, 2.82, 8.01, 14.2, 21, 50.7, 46.6, 32.5, 
##     27.1, 21.1, 16.4, 7.03, 1.93, -3.5, -13.9, -18.7, -23.6, 
##     -27.8, -43.8, -55.7, -63.3, -66, -68.2, -39.9, -43.3, -46.3, 
##     -48.8, -55.1, -58.9, -60.7, -62.6, -66.2, -68.3, -70.1, -81.5, 
##     -86.5, -92.4, -96.4, -97.8, -97.8, -96.8, -95.6, -95.1, -94.6, 
##     -94.5, -94.5, -94.3, -93.3, -87.9, -84.4, -92.7, -93.1, -93.5, 
##     -93.8, -94.2, -94.5, -94.7, -94.9, -95, -94.5, -92.1, -90.2, 
##     -89.8, -88.3, -88, -87.8, -87.3, -87.1, -87, -86.6, 178, 
##     174, 170, 166, 163, 159, 148, 126, 88.1, 33, 18.3, 6.5, 3.82, 
##     1.21, -1.17, -5.59, -8.01, -7.4, -6.24, -2.76, -0.49, 20.2, 
##     53.3, 75, 110, 120, 132, 140, 146, 148, 151, 152, 154, 152, 
##     17.7, 51.3, 57.9, 81.8, 87.3, 95.9, 103, 125, 131, 132, 133, 
##     134, 135, 135, 135, 133, 132, 128, 126, 120, 112, 97.4, 91.8, 
##     85.6, 80, 60.7, 54.3, 47.3, 11.3, 3.33, -4.28, -12.2, -26.2, 
##     -43.4, -42.4, -39, -34.8, -25.4, -20.3, -3.57, 2.35, 13.9, 
##     20.6, 26.3, 37.7, 49.4, 54.2, 69.9, 74.3, 87.5, 91.8, 96, 
##     105, 113, 116, 124, 127, 129, 129, 127, 122, 121, 118, 116, 
##     109, 105, 95.5, 85.7, 80, 74.9, 69.7, 64.1, 58, 40.6, 35, 
##     29.2, 1.76, -3.32, -8.57, -13.4, -19, -28.7, -33.4, -37.5, 
##     -44.8, -46.8, -43.8, -41, -37.2, -24.2, -14.1, -8.4, 2.25, 
##     13.9, 44.8, 54.3, 59, 63.5, 68.3, 86.5, 101, -3.91, 1.73, 
##     7.38, 14, 19.8, 33.2, 45.5, 51.3, 57.2, 63, 68.6, 84.3, 94.4, 
##     99.8, 104, 110, 114, 123, 126, 129, 129, 129, -38.2, -34.4, 
##     -30.5, -18.5, -9.24, -4.55, 0.29, 5.64, 24.2, 31.4, 46.2, 
##     66.2, 72.6, 77.7, 83, 87.5, 102, 106, 111, 115, 121, 123, 
##     125, 127, 129, 129, 130, 130, 129, 94, 87.2, 73.4, 53.6, 
##     47.4, 34.7, 29.4, 8.12, -0.84, -9.62, -27.8, -31.7, -35.6, 
##     -42.6, -46.8, -47.1, -43.9, 101, 91.7, 78.5, 63.7, 45.2, 
##     41.7, 38.6, 35.4, 32.6, 27.2, 19.1, 6.03, 3.79, 1.64, -7.16, 
##     -12.7, -14.4, -16.1, -19.1, -21.9, -23.1, -26.8, -28, -29.2, 
##     -31.8, -33.2, -34.7, -36.2, -37.7, -42.7, -51, -54.4, -56.2, 
##     -61.5, -65, -68.3, -70, -73.3, -76.8, -78.5, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, -50.2, -52.7, -55.3, -60.7, -73.7, 
##     -83.8, -86.2, -94.3, -101, -103, -105, -105, -101, -99.7, 
##     -97.9, -96.2, -93.9, -83.5, -70.9, -67.9, -64.5, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, -75.3, -59.3, -40.1, -27.8, -21.1, 
##     -6.91, 5.46, 11.7, 21.9, 26.9, 38.3, 47.1, 49.6, 56, 59.5, 
##     62.3, 63.8, 65, 65.8, 66, 65.5, 64.7, -61.5, -54.2, -35.3, 
##     -24.3, 17.8, 22.2, 25.6, 44.9, 54.8, 57.3, 62, 64.2, 68.1, 
##     69.8, 72.1, 72.4, 71.5, 69, 67.4, 65.2, 63, 60.5, 57.6, 54.6, 
##     32.1, 39.7, 43.5, 53.6, 56.6, 59.8, 66.1, 69, 76.1, 79.9, 
##     83.3, 94.7, 98.1, 102, 105, 110, 113, 116, 118, 121, 122, 
##     125, 126, 125, 123, 123, -38.5, -35.5, -32.3, -14.9, -6.86, 
##     49.8, 70.7, 107, 111, 114, 118, 120, 120, 121, 122, 122, 
##     122, 122, 121, 120, 120, 120, 119, 117, 115, 115, 113, 110, 
##     107, 105, 129, 127, 121, 119, 116, 112, 99.3, 94.3, 82.5, 
##     75.8, 68.6, 54.3, 46.4, 9.22, 2.59, -8.82, -14.3, -19.3, 
##     -24.7, -41.2, -44.1, -46.8, -46, 112, 115, 117, 120, 122, 
##     121, 115, 113, 96.5, 91.2, 85.7, 73.7, 61, 29.3, 11.4, 5.27, 
##     -28.1, -33.3, -41.2, -39.2, -32, -14.2, 151, 150, 148, 145, 
##     143, 137, 134, 130, 116, 110, 96.2, 79.6, 69.7, 49.6, 31.6, 
##     8.24, 2.27, -8.9, -22.9, -26.6, -30, -34.5, -34.6, -33.1, 
##     -30.9, -22.8, 70.5, 95, 163, 173, 179, -174, -171, -170, 
##     -169, -168, -168, -167, -167, -167, -167, -167, -167, -168, 
##     -168, -170, -171, -172, -173, -175, -55.2, -68.5, -86.7, 
##     -90.4, -95.5, -97.6, -97.3, -96.6, -94.3, -91, -79.7, -75.8, 
##     -46.8, -13.2, 2.05, 9, 15.9, 29.1, 35, 44.6, 49, 60.7, 64.4, 
##     67.8, 42.5, 46.7, 50.1, 56.9, 60.2, 68, 70.2, 72.3, 74.1, 
##     76.8, 78.7, 78.8, 78.5, 75.7, 74.3, 72.5, 70.7, 63.1, 56.9, 
##     45.3, 41.1, 19.8, 9.68, 4.23, -1.77, -7.78, -38.8, -21.4, 
##     -69.3, -79.6, -88.2, -106, -107, -107, -105, -104, -103, 
##     -102, -98.5, -96.4, -94, -83.9, -79.8, -64.6, -51.6, -37.5, 
##     -17.2, -2.24, -14.6, -1.3, 3.54, 8.6, 19.6, 24.1, 28.2, 32.8, 
##     42.5, 48.4, 64.7, 67.2, 69.2, 73.1, 74.8, 78, 81.1, 82.3, 
##     83.6, 84.9, 88.1, 89.8, 91.4, 92, 93.2, 93.7, 93.9, 94, 94.1, 
##     -115, -115, -101, -98.5, -80.3, -67.5, -62.9, -49, -28.4, 
##     -23, -17.8, -12.7, 44.2, 48.9, 53.1, 57.2, 64.1, 67.2, 69.7, 
##     78.2, 79.4, 79, 77.3, 76.3, 73.5, 71.5), total_accel_arm = c(34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 25, 
##     25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
##     25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
##     25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 3, 3, 3, 
##     3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 
##     4, 4, 5, 6, 6, 7, 8, 8, 9, 8, 9, 10, 10, 12, 14, 15, 16, 
##     18, 19, 19, 22, 23, 23, 23, 25, 26, 30, 29, 31, 36, 37, 40, 
##     41, 44, 45, 46, 45, 45, 44, 44, 44, 43, 42, 41, 37, 36, 36, 
##     31, 33, 30, 29, 22, 29, 23, 21, 15, 9, 9, 8, 7, 7, 7, 6, 
##     7, 7, 7, 8, 8, 9, 10, 13, 13, 15, 16, 21, 21, 21, 23, 24, 
##     27, 28, 30, 31, 31, 38, 38, 38, 43, 44, 45, 46, 47, 45, 43, 
##     43, 43, 42, 42, 41, 42, 39, 37, 37, 38, 35, 34, 26, 23, 23, 
##     19, 17, 26, 27, 31, 32, 36, 38, 40, 42, 42, 43, 44, 45, 45, 
##     45, 46, 44, 43, 43, 43, 40, 36, 34, 33, 34, 32, 32, 30, 32, 
##     29, 19, 18, 17, 13, 11, 11, 10, 9, 9, 8, 7, 5, 5, 6, 5, 5, 
##     4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 10, 12, 13, 13, 15, 15, 17, 
##     17, 21, 23, 25, 25, 28, 28, 29, 31, 32, 34, 35, 38, 39, 39, 
##     41, 42, 44, 44, 45, 46, 47, 46, 44, 43, 39, 31, 31, 30, 30, 
##     26, 25, 25, 22, 20, 18, 17, 15, 14, 15, 10, 10, 9, 8, 8, 
##     7, 6, 6, 6, 7, 7, 8, 8, 10, 10, 14, 14, 15, 16, 16, 18, 19, 
##     21, 22, 22, 23, 22, 23, 21, 19, 16, 18, 15, 14, 12, 11, 10, 
##     8, 8, 7, 8, 8, 10, 10, 10, 11, 13, 13, 14, 17, 19, 18, 21, 
##     22, 25, 26, 28, 31, 35, 42, 42, 43, 44, 43, 43, 42, 41, 41, 
##     42, 40, 38, 36, 35, 35, 34, 31, 30, 27, 23, 21, 19, 18, 17, 
##     13, 10, 11, 11, 10, 10, 10, 9, 8, 9, 10, 10, 11, 11, 12, 
##     13, 15, 16, 23, 23, 27, 29, 31, 32, 35, 37, 40, 41, 44, 42, 
##     42, 39, 38, 38, 8, 9, 9, 11, 17, 19, 20, 21, 20, 21, 23, 
##     24, 27, 28, 30, 32, 32, 35, 37, 39, 40, 42, 43, 43, 44, 44, 
##     42, 41, 41, 8, 7, 7, 6, 7, 8, 10, 11, 12, 12, 15, 17, 19, 
##     21, 22, 26, 28, 30, 30, 36, 37, 44, 40, 39, 40, 39, 37, 36, 
##     36, 31, 24, 27, 27, 27, 28, 31, 37, 36, 37, 38, 42, 44, 44, 
##     44, 43, 42, 41, 40, 40, 38, 35, 33, 28, 27, 25, 21, 22, 19, 
##     19, 19, 16, 15, 12, 10, 11, 9, 20, 20, 19, 18, 17, 16, 13, 
##     13, 14, 14, 17, 17, 18, 18, 20, 21, 22, 23, 23, 23, 23, 23, 
##     23, 23, 23, 23, 24, 25, 25, 25, 25, 25, 24, 24, 24, 25, 25, 
##     25, 25, 25, 24, 24, 24, 24, 24, 23, 23, 23, 22, 23, 23, 23, 
##     23, 23, 23, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 
##     23, 23, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 26, 
##     26, 27, 27, 30, 30, 28, 28, 28, 29, 29, 29, 29, 29, 28, 28, 
##     28, 29, 29, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 28, 28, 
##     28, 29, 29, 29, 29, 29, 28, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 
##     30, 30, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 28, 
##     29, 29, 28, 28, 28, 28, 31, 31, 30, 30, 30, 29, 27, 28, 28, 
##     26, 25, 23, 18, 16, 16, 15, 13, 11, 9, 9, 10, 14, 14, 17, 
##     28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 
##     28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 27, 
##     27, 27, 27, 27, 26, 26, 26, 26, 25, 25, 24, 25, 25, 25, 23, 
##     23, 23, 23, 23, 23, 23, 22, 23, 23, 23, 23, 23, 23, 23, 23, 
##     23, 22, 25, 25, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
##     25, 25, 25, 25, 25, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
##     25, 25, 25, 25, 25, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
##     25, 25, 25, 25, 25, 25, 26, 25, 25, 25, 25, 25, 26, 25, 25, 
##     25, 25, 24, 24, 25, 25, 25, 26, 25, 24, 25, 25, 25, 25, 25, 
##     25, 25, 25, 26, 25, 26, 26, 24, 25, 26, 26, 27, 27, 26, 26, 
##     26, 25, 25, 25, 25, 25, 26, 26, 26, 26, 25, 25, 26, 26, 26, 
##     26, 26, 25, 26, 26, 25, 26, 25, 25, 26, 25, 25, 26, 25, 25, 
##     26, 26, 25, 26, 26, 26, 26, 25, 25, 25, 25, 25, 25, 25, 25, 
##     24, 24, 24, 25, 25, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 
##     23, 22, 22, 22, 21, 21, 21, 29, 29, 29, 29, 29, 28, 28, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 29, 29, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 29, 30, 
##     29, 30, 30, 30, 30, 29, 29, 12, 12, 12, 13, 14, 14, 14, 19, 
##     20, 20, 21, 23, 24, 26, 28, 29, 30, 30, 30, 31, 31, 31, 31, 
##     30, 30, 30, 28, 28, 26, 17, 17, 14, 13, 11, 9, 10, 8, 11, 
##     11, 10, 11, 15, 15, 15, 16, 16, 16, 21, 21, 21, 23, 22, 25, 
##     27, 27, 25, 25, 26, 26, 27, 26, 26, 27, 28, 27, 28, 28, 28, 
##     28, 28, 28, 26, 26, 26, 29, 29, 29, 28, 28, 27, 27, 24, 23, 
##     21, 19, 18, 16, 11, 13, 11, 7, 11, 7, 5, 9, 9, 9, 8, 11, 
##     14, 14, 18, 20, 21, 22, 22, 23, 23, 23, 24, 25, 25, 25, 25, 
##     26, 27, 27, 27, 27, 28, 28, 27, 27, 26, 27, 24, 23, 20, 19, 
##     18, 17, 15, 14, 11, 10, 10, 10, 11, 13, 16, 18, 23, 24, 24, 
##     25, 26, 26, 27, 27, 26, 27, 26, 26, 27, 27, 28, 28, 28, 28, 
##     28, 29, 28, 28, 27, 25, 24, 24, 21, 20, 16, 14, 12, 9, 9, 
##     4, 3, 8, 7, 10, 11, 10, 16, 18, 17, 16, 18, 19, 22, 22, 24, 
##     26, 26, 25, 26, 26, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 
##     28, 28, 27, 27, 26, 25, 25, 25, 24, 25, 22, 19, 17, 15, 11, 
##     9, 9, 14, 17, 18, 19, 20, 22, 23, 25, 26, 26, 27, 27, 26, 
##     27, 27, 27, 27, 25, 26, 26, 25, 24, 24, 22, 20, 19, 15, 9, 
##     9, 8, 6, 5, 8, 5, 4, 10, 13, 13, 13, 17, 16, 15, 18, 18, 
##     21, 24, 25, 27, 27, 26, 26, 26, 28, 28, 27, 28, 28, 28, 27, 
##     28, 27, 25, 22, 22, 22, 20, 19, 14, 11, 10, 10, 8, 10, 8, 
##     7, 7, 13, 13, 16, 15, 19, 21, 23, 23, 22, 27, 27, 28, 27, 
##     27, 27, 27, 28, 28, 28, 28, 29, 29, 28, 28, 27, 27, 27, 27, 
##     25, 24, 24, 23, 23, 21, 17, 16, 13, 9, 9, 7, 11, 12, 13, 
##     17, 18, 19, 19, 20, 21, 25, 25, 26, 27, 27, 28, 28, 28, 27, 
##     27, 27, 26, 27, 27, 28, 29, 28, 16, 15, 10, 8, 7, 7, 5, 3, 
##     5, 4, 6, 9, 10, 11, 14, 15, 15, 16, 16, 16, 23, 23, 24, 25, 
##     26, 26, 26, 26, 27, 27, 27, 27, 27, 26, 27, 27, 27, 27, 27, 
##     27, 27, 27, 27, 27, 27, 26, 26, 25, 24, 22, 18, 16, 13, 12, 
##     28, 29, 32, 28, 30, 29, 28, 29, 29, 30, 30, 30, 29, 29, 29, 
##     29, 30, 30, 30, 29, 29, 30, 29, 30, 30, 29, 29, 29, 29, 30, 
##     30, 29, 29, 29, 29, 29, 29, 29, 29, 30, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 30, 30, 29, 29, 29, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
##     29, 30, 30, 30, 30, 30, 30, 30, 30, 29, 30, 30, 30, 30, 30, 
##     30, 30, 30, 29, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 30, 29, 29, 
##     29, 29, 29, 29, 30, 30, 29, 30, 30, 30, 30, 29, 30, 30, 30, 
##     30, 29, 30, 30, 30, 29, 30, 30, 30, 30, 30, 31, 31, 30, 30, 
##     30, 30, 30, 30, 30, 30, 31, 30, 30, 30, 31, 31, 31, 31, 31, 
##     31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 29, 28, 
##     27, 26, 25, 23, 23, 19, 17, 16, 15, 15, 13, 12, 11, 13, 14, 
##     15, 16, 18, 19, 22, 26, 31, 35, 40, 32, 28, 30, 30, 29, 30, 
##     29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 28, 28, 27, 27, 
##     27, 26, 25, 25, 23, 22, 18, 16, 15, 14, 12, 13, 14, 17, 22, 
##     24, 35, 37, 42, 43, 44, 45, 44, 42, 42, 40, 39, 35, 34, 32, 
##     31, 28, 26, 25, 21, 20, 20, 31, 31, 31, 32, 31, 31, 31, 30, 
##     31, 31, 30, 29, 28, 28, 26, 24, 23, 20, 18, 17, 13, 15, 20, 
##     25, 27, 28, 34, 39, 40, 42, 44, 42, 38, 39, 39, 32, 30, 29, 
##     27, 27, 19, 19, 19, 16, 17, 18, 18, 46, 46, 45, 40, 39, 35, 
##     34, 34, 32, 27, 22, 21, 20, 18, 16, 17, 16, 19, 19, 19, 22, 
##     27, 28, 28, 29, 30, 31, 32, 32, 32, 31, 31, 32, 32, 32, 32, 
##     33, 32, 32, 32, 31, 31, 30, 30, 29, 28, 27, 24, 23, 18, 17, 
##     16, 16, 15, 15, 14, 14, 15, 16, 17, 19, 21, 27, 37, 45, 43, 
##     41, 39, 35, 32, 28, 23, 20, 20, 17, 18, 17, 17, 18, 18, 23, 
##     21, 21, 24, 29, 29, 30, 30, 31, 30, 30, 30, 30, 29, 30, 31, 
##     31, 31, 32, 32, 32, 32, 32, 31, 31, 31, 29, 28, 28, 28, 28, 
##     26, 23, 17, 16, 14, 13, 15, 19, 20, 23, 25, 27, 31, 39, 41, 
##     43, 45, 48, 45, 44, 43, 42, 41, 40, 29, 30, 30, 30, 31, 30, 
##     32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 32, 31, 30, 
##     30, 29, 28, 28, 29, 29, 26, 25, 23, 18, 14, 14, 14, 14, 15, 
##     16, 19, 21, 28, 46, 43, 42, 41, 39, 31, 27, 21, 18, 17, 16, 
##     16, 16, 17, 18, 22, 23, 25, 26, 26, 26, 27, 27, 29, 30, 31, 
##     32, 31, 31, 31, 32, 32, 31, 31, 31, 31, 30, 30, 30, 30, 30, 
##     30, 30, 29, 29, 28, 24, 20, 18, 13, 14, 17, 22, 25, 26, 28, 
##     33, 42, 45, 47, 47, 42, 39, 38, 36, 28, 27, 26, 20, 20, 18, 
##     18, 18, 19, 20, 23, 24, 27, 28, 32, 32, 31, 31, 31, 31, 30, 
##     30, 29, 28, 27, 26, 23, 22, 21, 18, 16, 16, 17, 19, 20, 21, 
##     22, 24, 26, 26, 31, 33, 35, 44, 48, 46, 45, 43, 41, 37, 35, 
##     38, 38, 38, 38, 38, 38, 39, 38, 39, 38, 38, 38, 39, 38, 38, 
##     38, 39, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 38, 39, 38, 
##     39, 38, 38, 38, 41, 40, 40, 37, 38, 39, 39, 39, 38, 37, 38, 
##     38, 39, 39, 39, 41, 40, 40, 39, 38, 38, 40, 39, 39, 38, 38, 
##     38, 38, 38, 39, 39, 39, 39, 39, 38, 39, 39, 39, 38, 38, 38, 
##     39, 39, 39, 39, 38, 38, 38, 38, 39, 38, 38, 38, 38, 38, 38, 
##     38, 39, 38, 38, 38, 38, 38, 38, 38, 38, 39, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     39, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 38, 38, 
##     39, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     39, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 37, 37, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 37, 37, 37, 38, 38, 39, 36, 40, 39, 37, 
##     38, 39, 39, 38, 38, 38, 39, 39, 37, 38, 38, 39, 38, 37, 40, 
##     38, 38, 39, 39, 39, 37, 37, 37, 38, 38, 38, 39, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 37, 37, 38, 38, 38, 38, 37, 38, 38, 
##     38, 37, 38, 38, 38, 38, 38, 38, 37, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 
##     34, 34, 34, 34, 33, 34, 34, 34, 33, 33, 33, 33, 33, 33, 34, 
##     34, 34, 33, 33, 34, 34, 33, 34, 34, 33, 33, 33, 33, 34, 34, 
##     33, 33, 33, 33, 34, 33, 33, 33, 33, 33, 33, 33, 33, 31, 30, 
##     29, 29, 28, 28, 26, 23, 22, 21, 20, 18, 17, 12, 10, 8, 7, 
##     7, 9, 10, 11, 14, 15, 19, 21, 22, 23, 26, 26, 27, 29, 31, 
##     33, 33, 34, 35, 36, 37, 37, 37, 36, 35, 35, 34, 32, 31, 29, 
##     28, 27, 24, 20, 19, 17, 14, 14, 13, 11, 10, 9, 16, 16, 17, 
##     22, 25, 26, 26, 26, 27, 28, 28, 28, 30, 31, 32, 33, 33, 32, 
##     32, 32, 32, 32, 32, 31, 30, 30, 29, 28, 27, 25, 23, 19, 15, 
##     14, 11, 10, 10, 11, 13, 15, 16, 20, 22, 23, 24, 25, 27, 29, 
##     33, 34, 34, 35, 35, 35, 37, 38, 35, 31, 31, 27, 25, 24, 23, 
##     19, 19, 16, 15, 14, 17, 23, 24, 22, 24, 25, 28, 34, 37, 36, 
##     35, 35, 36, 35, 32, 28, 23, 23, 19, 17, 15, 16, 14, 16, 16, 
##     18, 18, 19, 23, 25, 24, 24, 26, 34, 34, 33, 33, 33, 32, 31, 
##     32, 32, 32, 32, 31, 31, 31, 31, 31, 29, 29, 28, 27, 14, 13, 
##     11, 12, 15, 15, 17, 18, 20, 21, 24, 30, 34, 36, 37, 37, 37, 
##     36, 35, 34, 33, 27, 25, 25, 24, 23, 23, 21, 20, 20, 18, 15, 
##     15, 15, 15, 16, 16, 16, 19, 19, 20, 20, 19, 19, 26, 27, 28, 
##     28, 28, 29, 30, 33, 30, 31, 32, 31, 31, 31, 30, 29, 27, 25, 
##     24, 22, 18, 16, 15, 13, 11, 14, 17, 20, 25, 28, 33, 35, 36, 
##     37, 36, 37, 35, 33, 28, 26, 22, 15, 14, 12, 13, 14, 15, 19, 
##     18, 20, 21, 21, 25, 22, 22, 27, 29, 33, 33, 32, 32, 32, 33, 
##     34, 32, 32, 32, 33, 33, 33, 33, 32, 33, 31, 30, 27, 23, 17, 
##     14, 13, 13, 14, 14, 17, 19, 22, 25, 25, 32, 36, 36, 37, 34, 
##     33, 32, 37, 37, 37, 38, 38, 38, 37, 38, 38, 38, 37, 37, 37, 
##     37, 37, 38, 37, 37, 37, 37, 37, 37, 37, 37, 38, 36, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 38, 37, 37, 37, 38, 37, 
##     37, 37, 38, 37, 37, 38, 38, 37, 37, 37, 37, 37, 37, 38, 38, 
##     37, 37, 38, 38, 37, 37, 37, 38, 37, 37, 37, 38, 37, 37, 38, 
##     37, 37, 38, 38, 38, 38, 38, 38, 38, 37, 37, 37, 38, 38, 38, 
##     37, 37, 37, 38, 38, 38, 37, 37, 37, 38, 37, 37, 37, 37, 38, 
##     38, 38, 38, 38, 38, 37, 38, 38, 37, 37, 37, 37, 37, 38, 37, 
##     37, 38, 37, 37, 37, 37, 37, 37, 38, 37, 38, 38, 38, 37, 37, 
##     37, 38, 38, 37, 37, 38, 37, 37, 37, 37, 38, 37, 38, 37, 37, 
##     37, 38, 37, 37, 38, 38, 38, 37, 37, 38, 38, 38, 37, 37, 38, 
##     38, 37, 37, 37, 37, 38, 37, 37, 38, 37, 37, 38, 38, 38, 37, 
##     38, 37, 38, 38, 38, 37, 37, 38, 37, 37, 38, 38, 37, 38, 38, 
##     38, 37, 37, 37, 37, 37, 38, 38, 38, 37, 38, 38, 38, 38, 38, 
##     38, 38, 37, 37, 38, 38, 37, 37, 38, 38, 38, 38, 37, 37, 37, 
##     37, 37, 37, 38, 37, 37, 37, 38, 39, 38, 37, 37, 38, 38, 38, 
##     38, 37, 37, 37, 38, 38, 38, 37, 38, 38, 38, 38, 38, 38, 37, 
##     37, 37, 37, 38, 38, 38, 38, 37, 37, 37, 38, 38, 38, 37, 39, 
##     39, 38, 37, 37, 36, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 37, 
##     38, 38, 38, 39, 38, 37, 37, 37, 38, 37, 38, 39, 38, 38, 38, 
##     38, 37, 37, 38, 37, 37, 37, 37, 38, 37, 37, 38, 37, 37, 38, 
##     37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 37, 37, 38, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 38, 37, 37, 37, 38, 37, 38, 
##     37, 37, 37, 37, 37, 38, 37, 37, 37, 37, 37, 37, 37, 38, 35, 
##     35, 35, 36, 35, 34, 38, 37, 37, 39, 36, 23, 23, 22, 15, 18, 
##     16, 18, 20, 24, 26, 26, 26, 27, 27, 27, 29, 33, 34, 33, 30, 
##     29, 28, 28, 26, 24, 25, 17, 19, 16, 20, 22, 25, 20, 34, 35, 
##     37, 37, 37, 37, 36, 35, 35, 35, 35, 36, 37, 38, 38, 37, 37, 
##     36, 35, 30, 29, 25, 24, 22, 18, 16, 17, 17, 18, 20, 20, 20, 
##     21, 26, 32, 38, 35, 32, 30, 30, 26, 23, 25, 27, 22, 16, 24, 
##     15, 15, 19, 18, 22, 26, 22, 27, 32, 28, 26, 31, 35, 40, 40, 
##     37, 35, 33, 32, 33, 36, 37, 39, 37, 36, 28, 25, 20, 20, 19, 
##     17, 16, 17, 19, 27, 30, 32, 35, 36, 33, 32, 32, 32, 31, 27, 
##     23, 20, 19, 18, 19, 14, 21, 20, 22, 38, 39, 34, 36, 40, 36, 
##     36, 34, 34, 34, 34, 35, 35, 36, 41, 39, 36, 36, 35, 33, 26, 
##     21, 20, 18, 17, 17, 18, 19, 23, 24, 30, 33, 34, 38, 36, 35, 
##     34, 33, 28, 26, 26, 27, 19, 17, 20, 17, 17, 24, 20, 21, 28, 
##     35, 39, 36, 38, 38, 37, 34, 34, 35, 36, 35, 33, 34, 35, 36, 
##     37, 38, 37, 36, 35, 35, 34, 34, 34, 33, 31, 27, 22, 22, 18, 
##     17, 20, 20, 19, 21, 36, 34, 30, 28, 25, 23, 16, 15, 19, 24, 
##     24, 21, 28, 35, 38, 38, 35, 36, 35, 35, 33, 35, 35, 36, 37, 
##     35, 34, 34, 34, 34, 28, 27, 25, 21, 21, 18, 17, 17, 17, 18, 
##     20, 21, 31, 34, 34, 32, 30, 28, 29, 23, 20, 25, 16, 14, 22, 
##     20, 21, 27, 30, 25, 20, 27, 36, 37, 39, 40, 42, 40, 35, 33, 
##     33, 34, 35, 36, 36, 37, 38, 37, 33, 31, 30, 28, 24, 22, 21, 
##     20, 18, 18, 20, 30, 32, 33, 31, 28, 28, 28, 26, 25, 24, 24, 
##     20, 17, 18, 15, 17, 20, 25, 21, 25, 24, 22, 33, 35, 39, 37, 
##     35, 34, 35, 35, 36, 35, 35, 35, 36, 35, 33, 30, 26, 18, 18, 
##     16, 16, 22, 28, 32, 32, 33, 30, 15, 13, 11, 30, 30, 30, 30, 
##     30, 30, 30, 31, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 31, 31, 31, 30, 29, 29, 27, 30, 33, 
##     29, 29, 29, 29, 31, 28, 27, 27, 27, 28, 32, 30, 27, 26, 26, 
##     27, 29, 23, 23, 22, 19, 16, 14, 8, 8, 8, 8, 9, 12, 15, 21, 
##     22, 17, 19, 20, 21, 22, 24, 23, 24, 25, 26, 26, 26, 26, 27, 
##     27, 27, 27, 27, 27, 27, 26, 25, 24, 14, 16, 21, 23, 23, 24, 
##     24, 24, 25, 24, 24, 24, 25, 27, 26, 26, 25, 22, 19, 12, 24, 
##     22, 20, 18, 16, 15, 12, 11, 13, 13, 14, 16, 19, 20, 21, 26, 
##     28, 28, 29, 29, 29, 29, 29, 29, 28, 29, 29, 29, 29, 29, 29, 
##     29, 29, 27, 27, 24, 24, 25, 23, 22, 18, 15, 28, 29, 29, 29, 
##     29, 29, 29, 29, 29, 30, 30, 30, 30, 29, 29, 28, 28, 29, 29, 
##     27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 
##     28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 21, 21, 22, 
##     24, 26, 27, 27, 26, 25, 25, 26, 26, 31, 31, 32, 31, 32, 32, 
##     32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 32, 32, 32, 33, 33, 
##     33, 33, 32, 30, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 31, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 31, 31, 
##     31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 32, 32, 31, 31, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 31, 32, 24, 21, 19, 18, 17, 17, 17, 17, 
##     17, 17, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 20, 
##     20, 20, 20, 21, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 
##     21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 20, 20, 19, 19, 19, 
##     19, 20, 20, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 
##     22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 
##     22, 22, 22, 22, 21, 22, 21, 21, 21, 21, 20, 20, 20, 24, 24, 
##     26, 28, 28, 29, 29, 31, 27, 28, 31, 32, 32, 32, 33, 33, 32, 
##     31, 31, 32, 32, 32, 32, 31, 31, 31, 31, 32, 33, 31, 31, 31, 
##     32, 31, 31, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 
##     31, 18, 22, 23, 25, 25, 25, 26, 27, 24, 23, 23, 23, 23, 22, 
##     21, 21, 19, 15, 7, 10, 8, 10, 13, 14, 16, 19, 24, 24, 28, 
##     27, 28, 30, 30, 30, 30, 31, 31, 30, 30, 31, 30, 30, 29, 27, 
##     25, 15, 16, 12, 9, 4, 4, 4, 9, 10, 13, 16, 19, 21, 21, 21, 
##     22, 24, 25, 29, 29, 29, 29, 29, 29, 29, 28, 28, 28, 27, 25, 
##     23, 23, 21, 20, 19, 14, 13, 11, 9, 6, 6, 5, 6, 11, 12, 14, 
##     20, 22, 23, 23, 25, 24, 26, 26, 22, 21, 18, 17, 18, 17, 10, 
##     6, 6, 7, 6, 7, 6, 10, 11, 14, 21, 23, 27, 27, 27, 29, 31, 
##     32, 30, 30, 28, 27, 26, 25, 24, 24, 22, 21, 14, 8, 8, 6, 
##     6, 7, 10, 11, 12, 21, 22, 22, 24, 24, 24, 27, 26, 22, 21, 
##     21, 20, 18, 16, 16, 14, 12, 8, 6, 5, 6, 6, 7, 8, 8, 9, 11, 
##     11, 12, 21, 23, 23, 25, 27, 28, 28, 28, 29, 29, 28, 29, 29, 
##     28, 28, 27, 26, 26, 24, 20, 13, 8, 5, 5, 7, 7, 13, 14, 14, 
##     14, 17, 18, 20, 21, 22, 23, 25, 26, 26, 26, 25, 25, 24, 24, 
##     23, 22, 22, 21, 18, 17, 17, 14, 13, 7, 6, 2, 5, 5, 7, 9, 
##     10, 13, 16, 16, 17, 19, 19, 20, 25, 25, 25, 25, 26, 27, 29, 
##     29, 30, 30, 30, 30, 30, 29, 29, 29, 29, 29, 29, 29, 28, 28, 
##     27, 26, 25, 21, 20, 20, 17, 16, 15, 11, 10, 10, 8, 6, 6, 
##     7, 7, 8, 8, 13, 15, 10, 9, 7, 6, 7, 10, 11, 13, 13, 14, 15, 
##     17, 17, 17, 19, 20, 24, 26, 27, 27, 30, 31, 31, 28, 30, 31, 
##     32, 31, 31, 30, 30, 30, 30, 29, 29, 26, 24, 22, 20, 20, 17, 
##     16, 16, 15, 13, 12, 9, 8, 4, 5, 7, 12, 7, 6, 4, 6, 5, 5, 
##     7, 7, 7, 10, 11, 11, 12, 14, 16, 17, 17, 20, 20, 20, 21, 
##     22, 24, 25, 24, 24, 25, 26, 25, 25, 24, 25, 25, 24, 22, 21, 
##     21, 20, 18, 15, 14, 12, 10, 9, 8, 9, 9, 13, 13, 18, 19, 20, 
##     22, 22, 21, 22, 24, 26, 27, 27, 27, 26, 26, 26, 27, 27, 27, 
##     26, 26, 27, 25, 24, 21, 21, 20, 19, 15, 10, 9, 10, 9, 6, 
##     6, 4, 5, 5, 6, 6, 9, 12, 13, 13, 16, 16, 18, 19, 22, 23, 
##     24, 25, 25, 25, 26, 18, 19, 21, 23, 23, 24, 24, 26, 26, 25, 
##     24, 24, 24, 23, 22, 20, 19, 17, 14, 13, 11, 19, 16, 15, 13, 
##     6, 6, 5, 4, 5, 7, 8, 10, 13, 21, 23, 25, 26, 27, 27, 26, 
##     26, 25, 25, 24, 23, 23, 20, 19, 18, 19, 21, 21, 21, 21, 21, 
##     22, 21, 21, 21, 21, 21, 21, 21, 21, 20, 20, 20, 21, 20, 21, 
##     21, 21, 20, 31, 31, 31, 32, 32, 32, 32, 32, 31, 32, 32, 32, 
##     32, 30, 29, 29, 28, 26, 25, 25, 25, 32, 32, 32, 31, 31, 31, 
##     31, 31, 31, 31, 32, 32, 31, 32, 32, 32, 31, 32, 34, 33, 33, 
##     33, 33, 33, 33, 32, 33, 32, 32, 32, 32, 32, 33, 32, 32, 38, 
##     38, 38, 37, 38, 38, 38, 38, 37, 38, 38, 38, 38, 37, 38, 38, 
##     38, 37, 37, 37, 38, 38, 38, 37, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 37, 38, 
##     37, 38, 38, 38, 38, 38, 40, 37, 36, 34, 31, 30, 20, 17, 16, 
##     19, 22, 26, 26, 27, 31, 29, 29, 29, 29, 26, 24, 21, 21, 17, 
##     15, 12, 13, 15, 16, 17, 20, 24, 29, 31, 36, 37, 42, 45, 46, 
##     21, 20, 23, 24, 26, 26, 27, 27, 29, 29, 31, 31, 29, 29, 29, 
##     30, 30, 32, 32, 32, 31, 31, 15, 15, 16, 16, 17, 20, 21, 21, 
##     21, 22, 23, 25, 25, 26, 27, 28, 28, 29, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 31, 30, 24, 23, 20, 18, 17, 17, 16, 15, 15, 
##     15, 16, 15, 16, 17, 17, 19, 19, 21, 21, 25, 26, 26, 27, 29, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 24, 24, 24, 28, 29, 
##     27, 28, 29, 29, 30, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 19, 19, 18, 18, 18, 13, 14, 15, 16, 16, 16, 
##     16, 16, 17, 17, 17, 16, 16, 16, 16, 17, 19, 20, 21, 12, 12, 
##     13, 11, 13, 15, 15, 15, 15, 13, 13, 14, 15, 17, 19, 20, 21, 
##     16, 16, 17, 18, 18, 18, 18, 24, 26, 26, 20, 20, 17, 16, 13, 
##     13, 12, 9, 9, 7, 7, 7, 8, 8, 8, 9, 15, 15, 15, 17, 17, 20, 
##     21, 40, 36, 29, 33, 23, 25, 24, 24, 22, 21, 18, 19, 17, 15, 
##     9, 8, 35, 27, 26, 25, 23, 19, 23, 17, 13, 12, 9, 9, 7, 8, 
##     8, 6, 6, 7, 7, 6, 23, 26, 29, 32, 33, 33, 37, 39, 46, 43, 
##     43, 42, 40, 39, 36, 31, 32, 26, 29, 13, 11, 9, 8, 7, 6, 5, 
##     5, 5, 5, 4, 5, 5, 5, 5, 5, 6, 8, 8, 8, 10, 11, 11, 12, 14, 
##     17, 18, 18, 25, 25, 25, 25, 27, 32, 32, 32, 32, 31, 31, 31, 
##     31, 30, 30, 30, 29, 29, 29, 28, 27, 23, 22, 17, 14, 12, 12, 
##     12, 11, 11, 12, 13, 14, 17, 8, 7, 7, 7, 6, 6, 4, 4, 4, 3, 
##     2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 
##     2, 2, 2, 2, 2, 3, 7, 8, 8, 9, 13, 14, 16, 17, 18, 19, 22, 
##     24, 24, 25, 26, 30, 30, 34, 35, 39, 39, 40, 42, 45, 50, 50, 
##     49, 47, 44, 43, 43, 42, 38, 33, 29, 26, 23, 25, 26, 17, 16, 
##     17, 16, 12, 15, 16, 10, 8, 30, 31, 32, 33, 38, 41, 43, 52, 
##     51, 49, 47, 45, 44, 43, 41, 41, 40, 36, 34, 34, 33, 29, 29, 
##     28, 25, 23, 25, 22, 15, 17, 12, 12, 11, 10, 10, 10, 9, 8, 
##     7, 7, 6, 5, 5, 6, 8, 9, 9, 13, 19, 21, 21, 22, 23, 23, 25, 
##     23, 29, 33, 34, 39, 38, 40, 57, 51, 44, 42, 41, 40, 40, 34, 
##     32, 32, 31, 25, 26, 23, 20, 19, 19, 19, 18, 17, 16, 13, 12, 
##     11, 8, 8, 8, 9, 9, 12, 15, 19, 19, 20, 25, 25, 27, 27, 29, 
##     31, 34, 35, 36, 38, 38, 39, 45, 48, 51, 55, 55, 51, 48, 47, 
##     44, 38, 37, 36, 30, 25, 25, 23, 21, 20, 19, 20, 16, 10, 10, 
##     9, 8, 4, 4, 7, 8, 9, 11, 13, 14, 16, 17, 21, 21, 24, 27, 
##     27, 27, 28, 29, 32, 29, 32, 33, 34, 35, 37, 43, 47, 49, 42, 
##     42, 40, 40, 39, 39, 35, 34, 12, 14, 19, 22, 23, 23, 24, 24, 
##     24, 27, 28, 31, 35, 39, 40, 42, 44, 56, 54, 51, 48, 44, 40, 
##     36, 32, 31, 30, 27, 18, 23, 16, 14, 11, 9, 10, 8, 6, 6, 5, 
##     5, 5, 6, 5, 5, 7, 7, 8, 9, 11, 13, 18, 19, 20, 20, 23, 23, 
##     25, 25, 26, 25, 28, 30, 31, 33, 36, 37, 48, 51, 53, 50, 45, 
##     43, 41, 39, 29, 24, 24, 22, 20, 22, 14, 11, 10, 9, 10, 9, 
##     6, 5, 4, 4, 4, 4, 4, 6, 9, 10, 13, 21, 21, 25, 33, 33, 35, 
##     8, 8, 8, 5, 4, 5, 5, 6, 6, 8, 9, 10, 10, 13, 14, 15, 17, 
##     22, 22, 21, 24, 25, 26, 27, 28, 31, 34, 35, 37, 39, 44, 51, 
##     56, 53, 50, 44, 44, 41, 41, 38, 36, 35, 28, 29, 21, 22, 27, 
##     16, 16, 16, 14, 11, 11, 7, 7, 5, 6, 5, 7, 8, 10, 11, 12, 
##     13, 15, 21, 22, 24, 22, 23, 25, 25, 27, 27, 29, 30, 31, 32, 
##     35, 36, 37, 42, 44, 52, 57, 58, 31, 34, 29, 23, 23, 22, 21, 
##     20, 20, 19, 20, 23, 24, 25, 25, 25, 27, 18, 19, 20, 22, 23, 
##     23, 24, 24, 25, 29, 29, 29, 30, 30, 30, 31, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 31, 31, 31, 32, 33, 33, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 31, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 31, 
##     32, 31, 31, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 30, 
##     30, 30, 30, 30, 29, 26, 26, 25, 22, 22, 22, 22, 38, 32, 31, 
##     27, 25, 23, 20, 19, 19, 20, 20, 20, 20, 21, 22, 23, 23, 25, 
##     27, 28, 29, 33, 33, 32, 33, 32, 31, 31, 32, 32, 32, 32, 32, 
##     32, 31, 30, 31, 30, 29, 27, 27, 27, 27, 25, 23, 20, 18, 16, 
##     16, 16, 16, 22, 23, 25, 28, 29, 32, 35, 37, 38, 42, 53, 57, 
##     61, 62, 60, 49, 38, 37, 34, 32, 31, 27, 26, 25, 24, 21, 18, 
##     18, 18, 19, 19, 22, 23, 24, 24, 30, 31, 31, 28, 26, 25, 23, 
##     19, 17, 15, 16, 19, 21, 24, 27, 29, 31, 32, 36, 38, 39, 44, 
##     54, 58, 55, 54, 51, 50, 46, 43, 40, 33, 26, 25, 23, 22, 20, 
##     20, 20, 19, 19, 19, 21, 22, 23, 24, 24, 25, 26, 28, 29, 31, 
##     31, 30, 30, 30, 31, 32, 32, 32, 32, 32, 31, 31, 30, 31, 30, 
##     32, 29, 29, 29, 29, 26, 21, 19, 18, 21, 22, 22, 26, 28, 33, 
##     37, 41, 42, 48, 60, 65, 65, 60, 55, 52, 49, 47, 46, 37, 35, 
##     35, 32, 27, 23, 19, 19, 19, 18, 18, 19, 19, 22, 24, 24, 27, 
##     30, 30, 31, 31, 30, 30, 30, 31, 31, 31, 31, 31, 30, 30, 29, 
##     28, 22, 19, 18, 17, 17, 17, 17, 18, 19, 20, 26, 27, 32, 36, 
##     41, 44, 46, 47, 50, 56, 59, 62, 55, 52, 50, 48, 47, 41, 41, 
##     37, 35, 33, 27, 23, 22, 20, 28, 25, 22, 21, 19, 17, 16, 16, 
##     17, 18, 22, 24, 25, 26, 29, 31, 35, 36, 39, 39, 42, 48, 58, 
##     63, 64, 64, 64, 62, 60, 43, 42, 41, 38, 36, 33, 31, 24, 22, 
##     21, 21, 18, 16, 16, 22, 25, 26, 28, 28, 31, 35, 34, 32, 31, 
##     30, 30, 30, 30, 30, 30, 30, 31, 32, 33, 32, 29, 26, 17, 16, 
##     16, 16, 16, 17, 19, 23, 26, 28, 28, 26, 22, 17, 18, 12, 14, 
##     15, 15, 19, 18, 17, 20, 23, 22, 24, 29, 29, 32, 33, 33, 32, 
##     33, 33, 33, 33, 33, 32, 32, 33, 33, 33, 32, 30, 28, 26, 25, 
##     23, 17, 15, 14, 12, 14, 17, 18, 19, 23, 26, 30, 35, 38, 31, 
##     22, 20, 18, 14, 14, 13, 14, 15, 14, 18, 18, 19, 20, 20, 22, 
##     24, 26, 27, 28, 28, 32, 32, 32, 33, 33, 32, 32, 32, 32, 32, 
##     32, 32, 32, 32, 31, 24, 18, 16, 15, 14, 16, 19, 20, 22, 24, 
##     30, 32, 34, 36, 37, 33, 32, 31, 29, 25, 20, 20, 16, 15, 12, 
##     12, 14, 16, 13, 12, 11, 10, 9, 10, 14, 16, 20, 20, 22, 25, 
##     29, 33, 35, 37, 35, 35, 33, 32, 30, 23, 20, 19, 18, 14, 12, 
##     13, 19, 20, 22, 22, 23, 27, 29, 32, 33, 32, 31, 32, 31, 30, 
##     31, 31, 31, 31, 32, 30, 30, 27, 25, 23, 21, 20, 18, 18, 16, 
##     13, 14, 16, 17, 20, 19, 21, 22, 21, 25, 25, 24, 27, 29, 30, 
##     31, 31, 30, 31, 31, 31, 31, 31, 32, 32, 32, 33, 33, 33, 32, 
##     33, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 22, 21, 19, 17, 15, 16, 12, 14, 15, 16, 17, 19, 26, 25, 
##     27, 28, 31, 31, 32, 32, 30, 30, 30, 30, 30, 29, 32, 16, 16, 
##     17, 15, 14, 16, 17, 19, 21, 22, 23, 24, 24, 25, 26, 24, 25, 
##     27, 28, 30, 30, 30, 28, 27, 29, 30, 30, 30, 23, 20, 15, 13, 
##     12, 20, 21, 24, 28, 34, 37, 48, 50, 51, 52, 51, 49, 47, 46, 
##     45, 44, 30, 30, 29, 30, 30, 30, 28, 25, 11, 10, 10, 12, 15, 
##     20, 24, 46, 48, 48, 49, 43, 42, 41, 41, 40, 39, 36, 31, 26, 
##     23, 20, 17, 16, 15, 14, 14, 17, 18, 19, 19, 26, 27, 27, 27, 
##     28, 27, 28, 29, 30, 30, 17, 13, 11, 11, 11, 14, 19, 21, 24, 
##     13, 13, 16, 17, 19, 19, 22, 24, 24, 23, 25, 28, 30, 30, 31, 
##     30, 30, 29, 29, 29, 30, 30, 28, 29, 29, 30, 31, 34, 39, 38, 
##     38, 30, 28, 27, 25, 24, 21, 17, 15, 16, 17, 17, 19, 21, 20, 
##     22, 24, 24, 26, 26, 28, 33, 33, 31, 30, 30, 30, 30, 30, 30, 
##     32, 32, 32, 29, 28, 26, 24, 19, 16, 12, 10, 10, 11, 12, 21, 
##     24, 27, 31, 32, 34, 35, 37, 39, 46, 49, 48, 47, 43, 42, 40, 
##     38, 29, 29, 24, 19, 17, 16, 16, 17, 18, 19, 20, 21, 23, 26, 
##     26, 27, 28, 27, 27, 27, 25, 23, 20, 20, 19, 16, 20, 25, 20, 
##     23, 28, 30, 20, 29, 31, 34, 36, 35, 33, 34, 38, 38, 40, 36, 
##     36, 35, 34, 33, 33, 34, 37, 37, 37, 37, 36, 31, 34, 34, 42, 
##     39, 31, 36, 34, 34, 37, 38, 39, 36, 36, 36, 35, 29, 24, 20, 
##     19, 19, 19, 18, 20, 31, 36, 34, 32, 31, 29, 28, 29, 28, 27, 
##     27, 26, 22, 15, 23, 19, 25, 25, 22, 26, 25, 32, 31, 37, 40, 
##     35, 32, 31, 35, 37, 36, 35, 34, 35, 36, 36, 36, 36, 36, 35, 
##     35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 35, 33, 33, 35, 35, 
##     34, 37, 31, 29, 25, 22, 21, 21, 20, 23, 29, 31, 42, 47, 50, 
##     50, 50, 49, 42, 40, 40, 38, 32, 31, 25, 21, 27, 21, 27, 20, 
##     24, 32, 28, 37, 42, 44, 44, 42, 32, 32, 33, 33, 35, 39, 44, 
##     45, 39, 37, 35, 35, 23, 23, 23, 24, 34, 36, 45, 49, 52, 53, 
##     50, 47, 39, 31, 33, 33, 27, 21, 16, 27, 19, 28, 28, 29, 35, 
##     41, 37, 34, 34, 34, 35, 35, 36, 22, 22, 24, 26, 29, 32, 37, 
##     36, 43, 40, 34, 34, 34, 37, 40, 38, 37, 33, 28, 20, 21, 19, 
##     21, 21, 24, 27, 36, 47, 52, 49, 43, 37, 36, 32, 29, 27, 28, 
##     19, 25, 27, 32, 38, 39, 42, 44, 42, 31, 33, 34, 37, 40, 41, 
##     41, 42, 39, 36, 32, 29, 26, 22, 20, 21, 23, 25, 27, 31, 43, 
##     47, 53, 51, 43, 41, 33, 35, 24, 24, 23, 25, 21, 18, 32, 31, 
##     40, 38, 37, 39, 42, 39, 40, 36, 34, 33, 32, 32, 34, 33, 37, 
##     39, 41, 41, 40, 39, 31, 26, 21, 23, 24, 24, 26, 30, 34, 45, 
##     55, 41, 44, 44, 43, 38, 37, 34, 29, 21, 22, 21, 26, 28, 28, 
##     38, 51, 51, 52, 51, 48, 46, 42, 33, 34, 32, 22, 25, 26, 17, 
##     22, 22, 20, 19, 15, 14, 10, 9, 4, 2, 12, 14, 15, 14, 15, 
##     15, 15, 15, 19, 24, 24, 28, 28, 28, 28, 28, 28, 28, 28, 29, 
##     29, 29, 29, 29, 29, 30, 29, 30, 30, 30, 30, 30, 31, 30, 30, 
##     30, 31, 30, 30, 30, 30, 30, 30, 31, 29, 28, 28, 26, 26, 26, 
##     24, 22, 19, 16, 13, 12, 10, 9, 8, 15, 17, 18, 20, 25, 29, 
##     36, 39, 40, 41, 41, 41, 41, 41, 41, 41, 41, 41, 40, 40, 39, 
##     38, 37, 36, 32, 31, 17, 15, 12, 10, 7, 6, 9, 8, 5, 5, 12, 
##     17, 17, 21, 23, 24, 26, 26, 27, 26, 27, 27, 27, 27, 25, 23, 
##     24, 23, 22, 21, 20, 19, 18, 15, 14, 11, 9, 8, 7, 12, 14, 
##     22, 25, 28, 30, 31, 31, 34, 36, 38, 38, 5, 5, 7, 9, 11, 15, 
##     16, 16, 18, 19, 18, 19, 19, 19, 23, 24, 25, 26, 26, 27, 27, 
##     27, 26, 26, 26, 26, 26, 42, 43, 43, 44, 41, 41, 39, 38, 36, 
##     29, 24, 16, 9, 9, 8, 3, 3, 4, 5, 5, 12, 12, 12, 20, 19, 19, 
##     23, 24, 23, 23, 24, 28, 28, 28, 28, 27, 26, 26, 25, 25, 25, 
##     26, 26, 25, 25, 25, 24, 24, 23, 18, 10, 9, 8, 9, 12, 16, 
##     17, 20, 26, 27, 28, 33, 34, 35, 36, 37, 38, 38, 40, 41, 45, 
##     45, 44, 44, 43, 42, 42, 41, 41, 41, 40, 40, 38, 37, 36, 32, 
##     28, 26, 21, 13, 13, 9, 7, 6, 27, 27, 27, 28, 25, 24, 23, 
##     20, 14, 12, 11, 10, 10, 10, 9, 11, 13, 17, 22, 23, 27, 30, 
##     33, 34, 36, 38, 39, 40, 43, 43, 42, 41, 40, 38, 37, 34, 33, 
##     25, 25, 26, 26, 27, 27, 27, 28, 28, 28, 27, 27, 27, 25, 25, 
##     25, 24, 23, 24, 24, 21, 20, 17, 11, 8, 7, 7, 16, 20, 21, 
##     22, 24, 29, 32, 34, 35, 37, 39, 40, 42, 42, 42, 42, 42, 41, 
##     40, 40, 38, 38, 36, 35, 34, 31, 30, 25, 19, 16, 12, 10, 8, 
##     5, 6, 5, 3, 5, 6, 7, 9, 12, 16, 17, 20, 25, 26, 26, 27, 27, 
##     27, 27, 27, 28, 27, 27, 27, 26, 26, 26, 25, 25, 24, 25, 26, 
##     23, 18, 10, 10, 9, 16, 23, 25, 28, 30, 31, 32, 33, 33, 34, 
##     35, 36, 37, 38, 39, 40, 41, 42, 42, 41, 40, 39, 38, 39, 38, 
##     36, 35, 35, 34, 33, 32, 31, 28, 26, 9, 6, 8, 7, 4, 5, 7, 
##     8, 8, 8, 10, 13, 12, 13, 17, 17, 20, 21, 21, 23, 25, 27, 
##     28, 28, 28, 28, 28, 27, 28, 28, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 28, 27, 27, 27, 25, 23, 20, 9, 8, 12, 13, 25, 27, 
##     29, 30, 33, 34, 35, 38, 40, 41, 42, 43, 42, 42, 41, 41, 41, 
##     39, 39, 38, 38, 35, 33, 32, 31, 30, 26, 16, 14, 31, 30, 28, 
##     26, 21, 10, 9, 5, 8, 4, 6, 7, 14, 15, 15, 19, 18, 18, 20, 
##     22, 21, 21, 21, 22, 23, 6, 6, 4, 6, 12, 12, 18, 21, 22, 20, 
##     25, 27, 27, 27, 26, 27, 27, 28, 25, 26, 25, 24, 23, 19, 18, 
##     18, 16, 11, 8, 8, 8, 10, 11, 13, 15, 17, 18, 22, 25, 26, 
##     27, 28, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 41, 40, 40, 
##     39, 38, 35, 33, 30, 23, 20, 14, 13, 8, 4, 3, 24, 24, 25, 
##     25, 25, 25, 26, 26, 27, 27, 27, 27, 27, 27, 27, 28, 27, 28, 
##     28, 28, 28, 28, 28, 28, 17, 16, 13, 11, 7, 7, 3, 6, 6, 6, 
##     7, 10, 11, 13, 18, 16, 19, 19, 21, 27, 27, 26, 26, 23, 24, 
##     24, 23, 22, 21, 21, 19, 19, 17, 14, 12, 11, 8, 8, 8, 8, 11, 
##     12, 12, 13, 15, 17, 20, 21, 10, 13, 15, 17, 20, 22, 24, 25, 
##     26, 27, 27, 27, 26, 26, 25, 26, 23, 20, 19, 18, 16, 12, 32, 
##     32, 31, 30, 30, 29, 28, 28, 26, 25, 23, 22, 15, 14, 12, 11, 
##     11, 11, 8, 7, 7, 8, 9, 9, 11, 12, 13, 14, 14, 16, 21, 21, 
##     21, 22, 23, 25, 25, 25, 26, 26, 29, 29, 28, 27, 23, 17, 12, 
##     12, 11, 7, 6, 6, 4, 3, 4, 9, 9, 11, 13, 14, 17, 16, 19, 19, 
##     19, 21, 23, 24, 24, 25, 25, 27, 27, 28, 28, 29, 29, 29, 30, 
##     30, 29, 30, 30, 30, 29, 30, 29, 29, 28, 27, 25, 17, 15, 12, 
##     11, 11, 10, 9, 10, 11, 13, 14, 14, 15, 16, 19, 21, 21, 22, 
##     22, 23, 24, 26, 26, 27, 27, 28, 27, 25, 25, 24, 23, 21, 19, 
##     18, 13, 9, 5, 6, 7, 7, 8, 9, 11, 12, 14, 16, 18, 19, 19, 
##     19, 20, 23, 26, 27, 26, 28, 28, 29, 30, 28, 30, 30, 31, 31, 
##     30, 29, 29, 29, 29, 28, 27, 27, 27, 26, 25, 24, 23, 21, 28, 
##     28, 28, 29, 29, 29, 29, 29, 28, 27, 26, 25, 23, 23, 22, 21, 
##     19, 16, 16, 14, 13, 11, 7, 6, 5, 29, 29, 29, 29, 30, 29, 
##     29, 29, 29, 29, 29, 29, 29, 28, 28, 21, 20, 21, 21, 19, 17, 
##     14, 13, 9, 8, 11, 13, 14, 17, 22, 22, 24, 26, 26, 31, 32, 
##     32, 34, 43, 42, 44, 43, 42, 42, 42, 43, 43, 44, 43, 43, 42, 
##     41, 39, 39, 39, 37, 34, 31, 29, 27, 21, 18, 15, 8, 9, 15, 
##     18, 19, 20, 21, 26, 26, 27, 29, 29, 29, 29, 30, 30, 32, 32, 
##     31, 31, 31, 30, 31, 30, 28, 27, 27, 24, 17, 5, 4, 5, 6, 6, 
##     11, 13, 21, 23, 23, 30, 32, 33, 35, 36, 36, 37, 38, 39, 43, 
##     45, 46, 45, 43, 43, 43, 42, 42, 40, 40, 39, 38, 37, 36, 34, 
##     33, 31, 30, 28, 26, 20, 17, 13, 7, 9, 10, 13, 14, 14, 15, 
##     17, 26, 24, 26, 27, 29, 31, 30, 31, 31, 30, 30, 30, 30, 30, 
##     30, 31, 29, 29, 30, 27, 26, 20, 16, 15, 12, 10, 10, 10, 9, 
##     11, 14, 18, 23, 24, 27, 29, 33, 33, 36, 36, 36, 36, 37, 41, 
##     10, 12, 14, 16, 17, 17, 24, 25, 28, 34, 34, 33, 31, 31, 32, 
##     32, 31, 32, 32, 31, 31, 30, 29, 27, 24, 21, 18, 16, 13, 10, 
##     10, 8, 7, 7, 10, 11, 11, 12, 22, 27, 28, 30, 31, 35, 38, 
##     38, 42, 42, 40, 39, 39, 39, 39, 38, 38, 37, 36, 36, 35, 34, 
##     33, 31, 30, 25, 21, 19, 18, 16, 6, 9, 31, 31, 31, 30, 31, 
##     31, 28, 25, 22, 21, 15, 15, 13, 8, 6, 8, 11, 12, 15, 19, 
##     21, 22, 23, 24, 25, 26, 27, 29, 29, 33, 36, 37, 37, 39, 40, 
##     40, 40, 39, 39, 39, 36, 32, 31, 30, 27, 25, 23, 22, 18, 15, 
##     13, 11, 10, 9, 7, 4, 5, 7, 8, 9, 10, 12, 12, 18, 21, 24, 
##     24, 26, 30, 30, 30, 30, 30, 31, 31, 31, 31, 29, 30, 28, 26, 
##     24, 21, 21, 18, 15, 13, 5, 4, 5, 8, 10, 12, 13, 15, 16, 18, 
##     20, 22, 22, 24, 31, 31, 32, 35, 35, 42, 39, 38, 38, 38, 37, 
##     36, 34, 34, 34, 31, 31, 29, 24, 23, 23, 17, 15, 6, 9, 12, 
##     16, 18, 19, 22, 24, 28, 29, 29, 30, 31, 31, 31, 32, 32, 32, 
##     31, 31, 31, 30, 29, 28, 27, 26, 23, 22, 20, 16, 15, 12, 5, 
##     7, 7, 8, 11, 13, 14, 18, 26, 27, 27, 27, 27, 22, 23, 23, 
##     22, 24, 25, 26, 29, 30, 29, 28, 28, 28, 27, 26, 26, 24, 23, 
##     22, 20, 20, 21, 21, 21, 22, 22, 24, 27, 26, 26, 26, 26, 26, 
##     26, 27, 28, 28, 26, 27, 27, 25, 23, 24, 21, 19, 15, 12, 11, 
##     11, 8, 8, 11, 11, 12, 15, 17, 19, 22, 23, 25, 25, 26, 27, 
##     27, 28, 30, 29, 29, 27, 28, 27, 28, 28, 27, 27, 27, 27, 26, 
##     26, 26, 26, 26, 26, 25, 25, 25, 25, 24, 24, 22, 23, 23, 24, 
##     23, 22, 13, 14, 16, 18, 25, 27, 28, 28, 29, 28, 29, 29, 31, 
##     31, 32, 32, 32, 32, 31, 32, 32, 42, 40, 41, 40, 40, 39, 38, 
##     37, 36, 35, 34, 33, 32, 31, 30, 27, 22, 21, 20, 16, 15, 13, 
##     11, 6, 4, 6, 9, 10, 13, 14, 16, 16, 17, 20, 22, 24, 24, 25, 
##     25, 26, 28, 30, 29, 29, 16, 14, 11, 11, 9, 8, 9, 10, 11, 
##     11, 11, 13, 14, 15, 17, 20, 21, 22, 22, 22, 22, 23, 28, 9, 
##     5, 5, 5, 7, 8, 12, 16, 18, 22, 23, 23, 24, 28, 29, 31, 31, 
##     30, 30, 31, 31, 32, 36, 35, 35, 43, 37, 34, 35, 34, 33, 34, 
##     38, 42, 39, 38, 36, 33, 32, 21, 55, 51, 41, 36, 37, 28, 25, 
##     23, 19, 14, 19, 28, 28, 23, 27, 37, 38, 38, 39, 41, 44, 43, 
##     42, 42, 35, 35, 35, 35, 35, 41, 41, 40, 40, 39, 30, 28, 22, 
##     22, 22, 22, 22, 24, 26, 27, 28, 35, 46, 50, 49, 45, 43, 35, 
##     31, 29, 28, 25, 19, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     35, 35, 35, 35, 36, 36, 36, 35, 35, 35, 36, 36, 36, 34, 30, 
##     27, 25, 23, 20, 19, 20, 19, 18, 18, 19, 19, 25, 38, 34, 31, 
##     30, 30, 29, 26, 26, 24, 19, 15, 16, 25, 22, 27, 35, 38, 39, 
##     41, 44, 46, 53, 59, 61, 62, 60, 51, 48, 46, 42, 41, 39, 37, 
##     34, 29, 25, 22, 18, 18, 18, 21, 21, 22, 21, 22, 23, 30, 33, 
##     32, 31, 31, 31, 31, 30, 30, 30, 30, 30, 30, 30, 30, 29, 31, 
##     31, 31, 31, 30, 30, 29, 25, 25, 30, 31, 31, 31, 30, 31, 31, 
##     30, 32, 32, 32, 32, 31, 31, 31, 31, 31, 30, 30, 22, 21, 20, 
##     15, 14, 14, 15, 16, 17, 19, 23, 25, 28, 31, 33, 40, 46, 58, 
##     60, 60, 58, 56, 50, 49, 46, 43, 40, 21, 20, 19, 23, 26, 31, 
##     33, 38, 41, 49, 48, 42, 38, 34, 31, 25, 24, 22, 18, 17, 32, 
##     33, 34, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 
##     33, 33, 31, 29, 28, 38, 54, 53, 52, 50, 47, 44, 42, 41, 40, 
##     39, 37, 36, 32, 30, 30, 31, 24, 27, 20, 23, 20, 18, 18, 16, 
##     14, 13, 11, 11, 27, 26, 26, 18, 17, 12, 11, 10, 12, 6, 5, 
##     4, 5, 3, 3, 2, 3, 3, 8, 8, 7, 6, 5, 5, 6, 7, 7, 17, 20, 21, 
##     22, 22, 25, 26, 27, 11, 12, 28, 28, 31, 29, 29, 29, 29, 31, 
##     32, 30, 29, 26, 25, 20, 14, 12, 10, 10, 33, 27, 24, 18, 13, 
##     13, 11, 11, 10, 11, 13, 15, 16, 20, 22, 25, 26, 30, 35, 37, 
##     43, 49, 47, 45, 43, 33, 39, 44, 45, 47, 49, 50, 47, 46, 45, 
##     45, 45, 44, 41, 37, 36, 35, 32, 31, 26, 21, 15, 40, 39, 36, 
##     36, 33, 30, 26, 23, 20, 15, 15, 16, 15, 17, 17, 17, 18, 24, 
##     26, 29, 32, 30, 30, 27, 20, 17, 10, 10, 15, 16, 23, 25, 31, 
##     32, 39, 46, 55, 55, 51, 46, 44, 43, 42, 42, 41, 39, 37, 10, 
##     12, 15, 16, 19, 21, 26, 29, 33, 35, 41, 45, 49, 49, 46, 44, 
##     43, 42, 41, 40, 37, 36, 24, 33, 33, 33, 32, 32, 33, 32, 32, 
##     32, 32, 32, 32, 32, 32, 30, 30, 29, 29, 29, 28, 28, 28, 27, 
##     18, 11, 10, 9, 31, 32, 31, 28, 27, 25, 20, 13, 11, 10, 11, 
##     12, 13, 14, 16, 20, 22, 25, 30, 32, 34, 35, 36, 35, 35, 35, 
##     21, 24, 27, 27, 26, 26, 27, 29, 30, 30, 31, 31, 32, 32, 31, 
##     31, 31, 31, 31, 31, 32, 31, 28, 26, 21, 49, 44, 43, 37, 34, 
##     34, 32, 27, 26, 24, 25, 20, 21, 19, 19, 20, 14, 13, 13, 12, 
##     13, 12, 8, 7, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 7, 8, 8, 
##     10, 12, 16, 18, 20, 22, 23, 23, 28, 29, 30, 32, 33, 32, 33, 
##     33, 34, 36, 35, 35, 33, 31, 31, 27, 28, 26, 24, 24, 21, 21, 
##     21, 20, 19, 15, 12, 11, 11, 9, 9, 9, 9, 8, 7, 7, 6, 6, 6, 
##     8, 8, 8, 9, 10, 11, 13, 13, 13, 15, 18, 20, 19, 21, 21, 22, 
##     24, 24, 25, 27, 29, 32, 34, 34, 35, 35, 36, 35, 36, 36, 33, 
##     31, 30, 27, 27, 24, 22, 21, 21, 15, 15, 16, 12, 13, 11, 9, 
##     12, 12, 7, 7, 7, 7, 6, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 7, 
##     7, 9, 11, 14, 17, 19, 20, 22, 20, 19, 21, 18, 17, 15, 11, 
##     9, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 5, 7, 7, 10, 12, 14, 15, 
##     16, 17, 19, 18, 20, 20, 26, 26, 28, 31, 31, 33, 35, 35, 36, 
##     36, 36, 37, 37, 38, 36, 37, 31, 32, 31, 27, 30, 24, 27, 23, 
##     22, 21, 16, 16, 15, 13, 10, 9, 8, 8, 8, 8, 8, 7, 7, 5, 5, 
##     5, 5, 6, 7, 8, 8, 9, 11, 12, 13, 17, 19, 21, 23, 22, 36, 
##     35, 36, 31, 31, 24, 26, 25, 22, 21, 20, 17, 17, 15, 14, 11, 
##     11, 10, 9, 8, 7, 7, 7, 6, 5, 5, 6, 6, 7, 7, 9, 10, 12, 15, 
##     16, 20, 19, 19, 22, 26, 27, 29, 31, 33, 34, 35, 34, 33, 32, 
##     32, 31, 31, 30, 29, 27, 27, 24, 19, 21, 19, 16, 17, 14, 10, 
##     8, 6, 5, 4, 5, 4, 4, 5, 7, 8, 8, 11, 14, 15, 16, 16, 17, 
##     18, 20, 22, 29, 29, 32, 36, 35, 37, 37, 35, 30, 30, 31, 27, 
##     25, 20, 17, 18, 14, 14, 15, 13, 11, 8, 7, 5, 5, 5, 4, 4, 
##     4, 4, 4, 5, 6, 6, 6, 8, 11, 14, 14, 16, 16, 17, 18, 21, 24, 
##     26, 27, 28, 29, 30, 34, 34, 27, 35, 36, 33, 33, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 31, 27, 26, 25, 21, 18, 17, 15, 
##     15, 15, 16, 23, 26, 28, 30, 32, 35, 36, 41, 42, 44, 47, 49, 
##     52, 53, 60, 62, 62, 62, 54, 51, 49, 47, 40, 33, 25, 19, 18, 
##     21, 23, 24, 24, 26, 27, 29, 31, 34, 34, 35, 34, 33, 32, 33, 
##     32, 31, 30, 30, 30, 33, 34, 35, 35, 34, 34, 32, 30, 29, 24, 
##     22, 20, 18, 16, 17, 17, 23, 28, 29, 33, 38, 41, 45, 48, 56, 
##     66, 62, 58, 53, 43, 41, 39, 36, 34, 31, 24, 22, 19, 18, 17, 
##     21, 21, 22, 23, 24, 25, 26, 27, 34, 30, 29, 29, 29, 29, 30, 
##     30, 31, 32, 33, 33, 33, 33, 33, 32, 30, 28, 27, 24, 22, 21, 
##     19, 19, 17, 20, 21, 23, 25, 28, 30, 31, 34, 35, 39, 46, 48, 
##     51, 52, 59, 59, 59, 58, 53, 47, 45, 44, 40, 38, 38, 37, 35, 
##     28, 24, 22, 22, 21, 20, 33, 33, 33, 32, 31, 31, 28, 26, 26, 
##     21, 20, 20, 16, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 
##     31, 31, 31, 31, 29, 30, 31, 30, 26, 22, 20, 16, 19, 21, 22, 
##     28, 29, 28, 25, 19, 19, 15, 15, 14, 20, 19, 22, 27, 30, 30, 
##     30, 30, 31, 31, 31, 31, 31, 31, 30, 30, 31, 31, 30, 30, 30, 
##     28, 28, 20, 17, 16, 14, 13, 14, 14, 24, 26, 27, 31, 31, 26, 
##     22, 20, 19, 16, 14, 14, 14, 15, 16, 19, 19, 23, 25, 27, 30, 
##     29, 29, 28, 29, 29, 30, 29, 29, 30, 30, 28, 28, 27, 22, 19, 
##     18, 15, 14, 13, 13, 14, 16, 21, 30, 31, 33, 32, 32, 31, 26, 
##     24, 22, 20, 18, 19, 16, 12, 13, 15, 16, 17, 17, 18, 19, 21, 
##     27, 30, 31, 32, 31, 30, 30, 31, 32, 31, 30, 29, 21, 19, 15, 
##     16, 16, 16, 18, 22, 26, 28, 29, 33, 33, 34, 33, 32, 30, 28, 
##     27, 25, 23, 22, 20, 19, 17, 31, 31, 31, 31, 32, 32, 32, 31, 
##     31, 29, 27, 26, 25, 23, 21, 19, 16, 18, 27, 30, 32, 33, 34, 
##     33, 31, 27, 25, 21, 15, 18, 18, 18, 20, 24, 25, 24, 28, 29, 
##     30, 31, 33, 32, 31, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 
##     31, 31, 30, 16, 17, 19, 21, 22, 24, 27, 32, 34, 36, 38, 40, 
##     41, 51, 48, 46, 45, 44, 44, 43, 39, 37, 35, 33, 31, 28, 26, 
##     18, 16, 17, 16, 14, 17, 17, 20, 22, 25, 25, 26, 29, 29, 30, 
##     30, 30, 29, 28, 27, 26, 26, 26, 27, 27, 28, 29, 29, 29, 24, 
##     13, 12, 12, 12, 17, 18, 20, 22, 29, 30, 32, 33, 34, 37, 39, 
##     43, 47, 47, 47, 47, 45, 43, 38, 33, 26, 24, 17, 15, 14, 13, 
##     13, 17, 17, 18, 21, 23, 26, 27, 27, 28, 30, 31, 31, 31, 33, 
##     33, 32, 32, 32, 31, 31, 31, 36, 36, 35, 34, 24, 16, 28, 27, 
##     25, 19, 11, 13, 14, 15, 18, 20, 21, 21, 22, 22, 23, 26, 27, 
##     27, 28, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 31, 
##     31, 30, 30, 32, 30, 31, 31, 31, 31, 31, 32, 32, 32, 32, 33, 
##     33, 33, 34, 33, 33, 33, 33, 32, 32, 32, 33, 33, 32, 32, 32, 
##     33, 31, 32, 32, 32, 32, 32, 33, 32, 32, 32, 32, 32, 32, 32, 
##     32, 32, 33, 32, 33, 32, 33, 33, 32, 32, 33, 33, 31, 32, 32, 
##     31, 33, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 33, 31, 32, 
##     31, 30, 30, 29, 30, 30, 30, 31, 30, 30, 30, 30, 30, 31, 31, 
##     31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 31, 30, 
##     30, 30, 29, 29, 29, 28, 28, 28, 27, 26, 25, 19, 11, 10, 9, 
##     9, 12, 18, 18, 17, 12, 13, 9, 8, 11, 18, 22, 21, 24, 26, 
##     26, 28, 29, 29, 31, 32, 31, 30, 30, 31, 31, 31, 30, 29, 29, 
##     26, 24, 23, 22, 18, 16, 14, 11, 10, 11, 11, 14, 17, 19, 21, 
##     20, 18, 17, 16, 16, 15, 11, 14, 14, 15, 19, 20, 23, 25, 29, 
##     29, 29, 31, 31, 31, 14, 13, 13, 14, 13, 14, 19, 19, 23, 24, 
##     22, 25, 27, 27, 29, 31, 30, 30, 30, 27, 26, 25, 25, 21, 17, 
##     17, 15, 13, 13, 12, 12, 15, 16, 16, 17, 18, 20, 17, 18, 14, 
##     13, 12, 11, 14, 15, 13, 15, 19, 22, 25, 26, 27, 30, 31, 31, 
##     30, 31, 31, 31, 31, 31, 31, 31, 30, 30, 30, 30, 28, 27, 23, 
##     22, 21, 20, 14, 13, 11, 10, 10, 14, 16, 18, 20, 21, 21, 21, 
##     21, 20, 18, 16, 15, 14, 12, 12, 14, 16, 17, 18, 19, 23, 24, 
##     35, 35, 32, 31, 32, 31, 32, 32, 31, 43, 50, 54, 56, 52, 51, 
##     44, 38, 36, 30, 27, 29, 26, 18, 24, 23, 32, 35, 36, 38, 39, 
##     41, 42, 44, 43, 40, 34, 32, 31, 32, 34, 34, 34, 36, 37, 41, 
##     43, 43, 43, 40, 30, 27, 23, 21, 21, 23, 24, 29, 35, 38, 42, 
##     53, 56, 56, 54, 50, 46, 40, 29, 24, 19, 19, 26, 31, 24, 17, 
##     17, 29, 27, 47, 39, 42, 44, 43, 41, 40, 39, 40, 38, 34, 33, 
##     36, 41, 42, 43, 45, 43, 36, 31, 25, 19, 27, 28, 29, 34, 39, 
##     49, 52, 55, 46, 42, 35, 32, 28, 21, 24, 25, 29, 31, 32, 34, 
##     34, 34, 36, 36, 37, 38, 38, 38, 37, 35, 35, 34, 33, 34, 35, 
##     36, 35, 36, 36, 36, 37, 36, 36, 36, 36, 36, 35, 35, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 35, 36, 36, 35, 36, 37, 36, 
##     36, 35, 35, 34, 33, 32, 30, 30, 30, 24, 22, 21, 19, 18, 17, 
##     21, 20, 13, 14, 14, 14, 16, 17, 17, 15, 14, 19, 16, 27, 26, 
##     28, 33, 28, 30, 35, 35, 33, 35, 35, 34, 34, 35, 36, 36, 34, 
##     34, 34, 34, 33, 33, 35, 33, 33, 34, 30, 30, 23, 22, 22, 16, 
##     18, 15, 18, 19, 19, 14, 15, 14, 14, 16, 14, 16, 13, 21, 19, 
##     29, 37, 38, 34, 33, 34, 34, 35, 36, 36, 36, 35, 34, 33, 33, 
##     34, 33, 35, 36, 36, 35, 36, 34, 33, 29, 26, 18, 21, 19, 19, 
##     18, 18, 16, 15, 10, 17, 15, 24, 34, 32, 38, 38, 35, 33, 32, 
##     35, 36, 36, 36, 37, 37, 36, 34, 25, 22, 20, 20, 19, 15, 18, 
##     18, 21, 19, 20, 18, 15, 13, 20, 26, 24, 27, 32, 28, 33, 36, 
##     37, 40, 41, 42, 41, 38, 35, 35, 34, 31, 32, 35, 35, 38, 37, 
##     37, 34, 29, 28, 25, 22, 20, 19, 17, 17, 18, 18, 21, 22, 19, 
##     17, 15, 16, 19, 20, 32, 33, 29, 37, 37, 36, 39, 35, 33, 33, 
##     33, 34, 34, 34, 34, 34, 35, 32, 29, 22, 21, 18, 17, 17, 18, 
##     20, 22, 21, 21, 22, 18, 18, 20, 16, 12, 13, 14, 19, 29, 29, 
##     27, 33, 32, 38, 38, 36, 37, 37, 35, 35, 35, 33, 33, 33, 35, 
##     36, 38, 38, 36, 35, 30, 20, 18, 20, 20, 20, 20, 21, 20, 17, 
##     17, 17, 18, 21, 23, 23, 22, 28, 29, 36, 36, 34, 35, 35, 39, 
##     39, 36, 34, 33, 33, 33, 37, 37, 37, 37, 35, 22, 20, 18, 16, 
##     16, 20, 20, 22, 20, 22, 14, 18, 15, 15, 16, 18, 21, 27, 24, 
##     31, 41, 40, 41, 37, 36, 34, 34, 34, 34, 35, 36, 36, 35, 35, 
##     34, 26, 19, 20, 18, 19, 21, 15, 18, 11, 12, 20, 26, 28, 33, 
##     33, 37, 38, 35, 38, 36, 34, 33, 32, 33, 34, 38, 36, 37, 36, 
##     30, 27, 27, 23, 18, 16, 15, 20, 16, 15, 15, 14, 15, 16, 15, 
##     15, 13, 12, 13, 15, 14, 28, 26, 34, 35, 36, 36, 36, 36, 36, 
##     36, 36, 36, 35, 35, 35, 36, 36, 36, 35, 35, 36, 36, 35, 36, 
##     36, 36, 36, 36, 36, 36, 36, 35, 36, 36, 36, 36, 36, 36, 39, 
##     38, 31, 20, 18, 24, 27, 20, 35, 36, 39, 37, 43, 42, 40, 38, 
##     34, 33, 31, 34, 35, 40, 42, 42, 42, 40, 24, 23, 22, 19, 17, 
##     11, 6, 6, 13, 14, 13, 13, 15, 16, 19, 20, 20, 20, 21, 22, 
##     23, 24, 26, 28, 27, 27, 27, 27, 28, 26, 26, 27, 23, 24, 23, 
##     20, 11, 11, 11, 14, 15, 18, 18, 18, 19, 20, 21, 24, 25, 26, 
##     26, 27, 27, 27, 26, 27, 27, 26, 39, 40, 41, 42, 42, 42, 43, 
##     42, 42, 42, 41, 40, 40, 37, 32, 30, 25, 23, 21, 17, 12, 5, 
##     5, 12, 15, 17, 17, 19, 24, 27, 27, 25, 27, 27, 27, 27, 32, 
##     33, 34, 34, 33, 32, 31, 31, 32, 32, 31, 31, 32, 32, 33, 33, 
##     33, 33, 32, 32, 33, 33, 33, 33, 33, 32, 32, 32, 32, 31, 31, 
##     29, 29, 31, 31, 34, 33, 33, 33, 32, 32, 32, 31, 31, 30, 32, 
##     32, 31, 31, 30, 31, 31, 31, 31, 30, 30, 30, 28, 28, 28, 28, 
##     27, 26, 25, 25, 24, 23, 23, 23, 22, 18, 16, 11, 10, 10, 10, 
##     9, 10, 12, 12, 13, 16, 14, 15, 14, 15, 15, 15, 15, 15, 14, 
##     14, 14, 13, 12, 11, 8, 7, 9, 9, 11, 12, 12, 13, 13, 14, 15, 
##     15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 21, 22, 22, 22, 23, 
##     26, 27, 27, 27, 29, 29, 29, 28, 28, 28, 28, 27, 27, 27, 25, 
##     25, 24, 23, 22, 21, 16, 14, 14, 12, 13, 12, 9, 8, 8, 8, 10, 
##     10, 11, 12, 12, 12, 16, 17, 17, 17, 17, 17, 16, 17, 16, 15, 
##     15, 14, 12, 11, 8, 7, 5, 5, 26, 26, 26, 26, 26, 26, 26, 26, 
##     26, 27, 22, 23, 23, 22, 22, 22, 22, 20, 19, 17, 16, 15, 13, 
##     12, 10, 7, 8, 9, 11, 11, 12, 12, 13, 13, 13, 13, 14, 13, 
##     13, 12, 13, 12, 11, 11, 10, 9, 7, 9, 8, 8, 11, 11, 14, 16, 
##     19, 19, 19, 19, 23, 25, 25, 26, 26, 27, 27, 27, 27, 27, 28, 
##     29, 30, 29, 29, 29, 30, 30, 28, 25, 23, 23, 23, 22, 21, 19, 
##     17, 15, 12, 11, 10, 10, 9, 8, 8, 8, 8, 12, 12, 12, 12, 14, 
##     13, 14, 13, 12, 11, 12, 12, 12, 11, 8, 8, 6, 7, 10, 12, 17, 
##     17, 20, 22, 21, 22, 24, 24, 26, 26, 26, 27, 27, 27, 27, 27, 
##     27, 28, 28, 28, 28, 28, 26, 25, 25, 25, 25, 25, 26, 25, 24, 
##     22, 17, 14, 13, 12, 9, 9, 8, 8, 8, 9, 11, 12, 11, 11, 12, 
##     12, 13, 13, 14, 27, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 
##     29, 29, 29, 27, 28, 28, 27, 26, 25, 23, 22, 22, 21, 21, 20, 
##     19, 15, 11, 10, 9, 9, 8, 8, 8, 8, 9, 10, 14, 14, 14, 14, 
##     14, 14, 15, 15, 14, 15, 14, 15, 13, 12, 10, 8, 11, 14, 14, 
##     15, 17, 20, 22, 22, 26, 28, 29, 31, 31, 29, 28, 27, 29, 30, 
##     30, 30, 29, 29, 29, 28, 29, 28, 27, 26, 23, 21, 21, 21, 16, 
##     16, 15, 9, 8, 8, 8, 8, 9, 10, 11, 13, 13, 13, 13, 12, 12, 
##     12, 13, 12, 10, 9, 7, 10, 14, 15, 15, 17, 18, 18, 20, 22, 
##     23, 24, 24, 24, 26, 26, 27, 29, 29, 29, 29, 29, 28, 28, 29, 
##     30, 29, 29, 28, 27, 26, 26, 24, 24, 21, 20, 17, 16, 15, 11, 
##     10, 7, 6, 8, 9, 11, 13, 16, 16, 11, 10, 11, 11, 11, 11, 11, 
##     11, 10, 9, 10, 9, 7, 7, 8, 10, 12, 14, 17, 17, 18, 22, 23, 
##     22, 18, 20, 21, 25, 25, 25, 26, 27, 14, 13, 12, 11, 9, 9, 
##     10, 9, 8, 9, 14, 19, 19, 21, 22, 24, 24, 25, 25, 26, 9, 7, 
##     9, 13, 14, 17, 16, 16, 19, 19, 21, 22, 24, 27, 26, 26, 26, 
##     30, 32, 32, 31, 31, 31, 31, 30, 31, 31, 32, 30, 30, 31, 30, 
##     30, 30, 31, 31, 31, 31, 29, 29, 29, 29, 29, 29, 30, 29, 27, 
##     26, 24, 24, 22, 22, 21, 21, 14, 10, 9, 7, 9, 10, 11, 12, 
##     15, 19, 21, 25, 31, 35, 36, 37, 38, 39, 40, 41, 41, 41, 39, 
##     38, 38, 37, 35, 34, 29, 20, 14, 7, 5, 3, 4, 9, 10, 19, 16, 
##     15, 12, 10, 9, 7, 7, 7, 9, 18, 19, 20, 21, 27, 29, 31, 32, 
##     36, 23, 24, 27, 29, 31, 32, 34, 35, 38, 39, 40, 41, 40, 39, 
##     38, 36, 36, 36, 21, 21, 22, 23, 30, 31, 31, 31, 31, 31, 31, 
##     31, 31, 31, 31, 32, 32, 29, 27, 27, 28, 28, 27, 24, 16, 13, 
##     5, 2, 6, 22, 23, 24, 27, 28, 29, 33, 36, 38, 41, 41, 42, 
##     42, 41, 41, 41, 40, 40, 39, 38, 38, 36, 35, 34, 32, 31, 30, 
##     29, 28, 28, 26, 24, 23, 21, 15, 13, 7, 5, 4, 5, 5, 10, 10, 
##     15, 15, 22, 23, 24, 23, 23, 26, 28, 28, 29, 30, 29, 30, 30, 
##     30, 29, 28, 27, 25, 25, 24, 21, 13, 5, 4, 3, 6, 7, 9, 10, 
##     12, 12, 15, 16, 21, 22, 23, 25, 25, 34, 34, 34, 36, 36, 40, 
##     42, 41, 40, 40, 39, 39, 39, 38, 37, 36, 35, 32, 30, 29, 25, 
##     23, 14, 9, 9, 5, 9, 10, 10, 12, 14, 17, 19, 23, 24, 24, 25, 
##     27, 28, 29, 30, 32, 32, 32, 32, 33, 32, 31, 32, 33, 32, 33, 
##     32, 30, 30, 30, 28, 27, 27, 41, 41, 41, 41, 41, 41, 41, 41, 
##     41, 40, 39, 39, 38, 38, 36, 34, 34, 33, 30, 28, 26, 18, 17, 
##     13, 32, 32, 32, 30, 30, 30, 29, 28, 28, 27, 23, 22, 21, 21, 
##     21, 20, 19, 18, 17, 15, 10, 10, 10, 7, 8, 9, 13, 13, 14, 
##     16, 17, 17, 16, 14, 11, 11, 10, 9, 9, 7, 6, 7, 7, 8, 11, 
##     12, 13, 13, 16, 18, 21, 22, 25, 26, 27, 27, 28, 28, 29, 30, 
##     29, 29, 29, 29, 29, 28, 27, 25, 20, 18, 13, 9, 8, 8, 8, 8, 
##     8, 8, 7, 7, 8, 9, 11, 12, 12, 13, 14, 15, 16, 16, 14, 13, 
##     13, 13, 13, 12, 12, 11, 9, 8, 7, 7, 7, 9, 10, 10, 12, 12, 
##     13, 13, 14, 16, 22, 23, 24, 24, 24, 24, 27, 29, 31, 28, 28, 
##     29, 31, 30, 30, 26, 25, 24, 22, 21, 19, 9, 8, 7, 7, 12, 11, 
##     12, 13, 14, 16, 17, 19, 21, 21, 22, 24, 25, 26, 28, 27, 28, 
##     30, 32, 31, 30, 31, 31, 18, 18, 17, 16, 11, 11, 10, 9, 9, 
##     8, 7, 7, 8, 9, 10, 11, 11, 13, 14, 15, 18, 18, 21, 22, 23, 
##     24, 28, 30, 30, 30, 30, 29, 29, 29, 30, 28, 27, 26, 24, 22, 
##     18, 13, 9, 8, 7, 7, 5, 6, 7, 8, 9, 9, 9, 10, 11, 13, 30, 
##     30, 29, 27, 24, 22, 21, 16, 16, 13, 7, 6, 10, 10, 12, 12, 
##     13, 16, 18, 7, 9, 11, 13, 15, 16, 16, 14, 13, 14, 14, 13, 
##     12, 12, 10, 10, 9, 9, 8, 8, 9, 9, 9, 11, 5, 9, 10, 12, 17, 
##     21, 21, 21, 22, 24, 30, 31, 30, 30, 30, 31, 31, 31, 20, 18, 
##     16, 14, 11, 9, 5, 9, 12, 15, 20, 21, 23, 25, 28, 29, 33, 
##     35, 35, 37, 40, 41, 42, 31, 31, 30, 28, 26, 25, 24, 24, 23, 
##     13, 11, 9, 7, 5, 5, 5, 9, 10, 10, 10, 11, 12, 14, 17, 19, 
##     20, 36, 36, 36, 33, 34, 35, 34, 36, 36, 35, 29, 20, 21, 23, 
##     26, 31, 34, 35, 37, 45, 43, 36, 37, 36, 36, 35, 35, 34, 34, 
##     36, 36, 36, 36, 36, 36, 36, 36, 35, 36, 36, 36, 36, 36, 35, 
##     35, 36, 37, 36, 36, 36, 36, 35, 36, 36, 35, 36, 36, 36, 35, 
##     35, 35, 16, 18, 19, 22, 23, 24, 25, 25, 25, 27, 28, 30, 31, 
##     32, 32, 31, 31, 31, 21, 23, 25, 26, 26, 24, 23, 21, 20, 17, 
##     17, 14, 18, 18, 18, 21, 20, 23, 25, 26, 27, 29, 29, 29, 30, 
##     31, 20, 20, 22, 22, 23, 23, 25, 25, 28, 29, 30, 31, 32, 32, 
##     31, 31, 31, 31, 31, 31, 31, 31, 32, 33, 34, 33, 33, 32, 33, 
##     7, 6, 6, 5, 6, 8, 13, 15, 16, 21, 24, 27, 29, 29, 33, 34, 
##     35, 36, 36, 36, 37, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 
##     36, 35, 32, 33, 32, 26, 29, 24, 25, 25, 21, 21, 18, 17, 16, 
##     15, 11, 10, 8, 7, 7, 21, 22, 24, 26, 26, 28, 29, 33, 34, 
##     34, 34, 34, 34, 35, 33, 33, 33, 32, 32, 30, 30, 30, 24, 26, 
##     26, 28, 30, 33, 34, 34, 34, 34, 35, 35, 35, 34, 33, 29, 27, 
##     26, 23, 24, 20, 12, 13, 7, 7, 5, 5, 5, 4, 4, 4, 4, 5, 7, 
##     10, 12, 13, 16, 16, 19, 19, 19, 22, 32, 32, 29, 26, 25, 24, 
##     23, 20, 19, 18, 16, 15, 12, 13, 12, 12, 12, 14, 18, 20, 21, 
##     22, 22, 22, 22, 21, 20, 19, 18, 17, 15, 9, 16, 18, 27, 29, 
##     29, 32, 36, 38, 40, 45, 48, 49, 49, 46, 46, 44, 42, 39, 36, 
##     34, 17, 17, 17, 14, 13, 12, 11, 10, 10, 9, 11, 14, 16, 17, 
##     20, 21, 22, 24, 26, 33, 34, 38, 37, 32, 31, 31, 26, 25, 24, 
##     23, 22, 20, 15, 15, 14, 14, 16, 16, 18, 19, 21, 22, 22, 22, 
##     23, 22, 21, 20, 18, 15, 12, 12, 10, 10, 10, 11, 12, 15, 18, 
##     20, 22, 25, 26, 28, 37, 37, 36, 35, 33, 32, 31, 30, 18, 20, 
##     21, 24, 25, 29, 31, 36, 38, 37, 34, 32, 30, 21, 16, 14, 13, 
##     12, 11, 12, 13, 14, 15, 14, 16, 16, 16, 17, 17, 16, 16, 15, 
##     14, 13, 11, 10, 8, 8, 8, 9, 10, 10, 14, 16, 18, 20, 22, 25, 
##     29, 33, 38, 39, 37, 36, 35, 34, 31, 29, 27, 21, 18, 16, 11, 
##     10, 11, 10, 7, 8, 11, 12, 16, 17, 17, 16, 37, 36, 36, 34, 
##     35, 35, 33, 31, 33, 28, 25, 28, 28, 27, 24, 19, 16, 14, 15, 
##     10, 7, 5, 4, 3, 3, 2, 4, 4, 7, 6, 9, 12, 9, 13, 14, 13, 13, 
##     17, 16, 21, 19, 23, 26, 24, 24, 28, 30, 31, 30, 33, 33, 35, 
##     34, 37, 38, 37, 39, 39, 34, 36, 34, 35, 34, 32, 32, 30, 30, 
##     30, 31, 32, 32, 33, 33, 34, 34, 34, 36, 36, 36, 37, 37, 37, 
##     38, 40, 43, 45, 43, 42, 40, 38, 39, 36, 36, 34, 32, 33, 32, 
##     30, 30, 29, 26, 30, 28, 28, 26, 27, 27, 28, 29, 30, 30, 30, 
##     33, 34, 36, 35, 36, 36, 36, 36, 36, 41, 46, 47, 48, 48, 47, 
##     45, 45, 43, 42, 41, 41, 28, 31, 32, 34, 34, 35, 35, 36, 37, 
##     37, 38, 38, 39, 39, 41, 46, 47, 48, 47, 46, 45, 45, 45, 44, 
##     42, 41, 42, 40, 39, 36, 36, 36, 35, 33, 33, 32, 31, 29, 27, 
##     26, 28, 25, 25, 25, 25, 26, 27, 28, 29, 32, 32, 33, 33, 34, 
##     36, 40, 40, 41, 41, 44, 45, 46, 47, 47, 47, 47, 46, 45, 44, 
##     40, 39, 37, 36, 48, 48, 46, 46, 46, 46, 46, 44, 43, 42, 43, 
##     42, 41, 40, 36, 39, 36, 34, 35, 35, 33, 34, 31, 29, 29, 31, 
##     31, 30, 30, 28, 28, 28, 28, 27, 27, 27, 27, 28, 29, 29, 31, 
##     31, 32, 35, 35, 35, 35, 36, 35, 36, 37, 38, 40, 42, 42, 43, 
##     44, 47, 48, 49, 29, 29, 30, 31, 31, 32, 33, 33, 35, 35, 35, 
##     37, 37, 37, 37, 40, 42, 45, 46, 48, 47, 46, 46, 47, 47, 41, 
##     39, 39, 38, 35, 33, 34, 33, 31, 34, 32, 30, 31, 30, 28, 30, 
##     29, 28, 29, 29, 28, 28, 27, 28, 28, 29, 29, 30, 31, 33, 35, 
##     34, 36, 36, 37, 37, 38, 37, 39, 39, 41, 42, 49, 46, 46, 45, 
##     44, 42, 40, 39, 37, 35, 36, 37, 33, 32, 33, 29, 29, 27, 28, 
##     29, 30, 31, 31, 33, 33, 33, 37, 37, 39, 39, 40, 41, 42, 45, 
##     47, 49, 49, 47, 46, 46, 45, 44, 43, 41, 34, 36, 29, 31, 28, 
##     13, 13, 13, 13, 12, 8, 8, 8, 9, 9, 11, 14, 17, 16, 17, 20, 
##     9, 9, 9, 10, 11, 13, 14, 14, 15, 15, 16, 15, 15, 16, 16, 
##     16, 13, 12, 11, 9, 9, 8, 7, 7, 12, 19, 26, 27, 26, 27, 27, 
##     27, 27, 26, 27, 28, 31, 26, 23, 21, 17, 13, 11, 12, 11, 11, 
##     11, 10, 9, 9, 9, 9, 10, 10, 11, 11, 13, 13, 14, 13, 14, 16, 
##     18, 18, 19, 21, 21, 23, 26, 28, 31, 33, 33, 31, 31, 30, 30, 
##     30, 28, 26, 25, 23, 22, 22, 13, 12, 9, 8, 7, 9, 7, 9, 9, 
##     7, 7, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 15, 13, 12, 13, 
##     12, 12, 11, 10, 10, 10, 8, 7, 7, 12, 14, 15, 17, 18, 19, 
##     19, 21, 23, 26, 27, 31, 33, 34, 31, 31, 31, 28, 28, 25, 24, 
##     21, 17, 15, 9, 8, 8, 9, 10, 10, 10, 9, 13, 13, 13, 14, 14, 
##     14, 14, 13, 13, 12, 12, 12, 12, 11, 10, 9, 9, 10, 11, 15, 
##     17, 22, 23, 23, 24, 25, 26, 27, 27, 28, 29, 30, 30, 31, 32, 
##     34, 33, 32, 31, 29, 27, 26, 24, 24, 24, 22, 18, 15, 8, 8, 
##     7, 9, 9, 9, 12, 12, 13, 15, 14, 15, 15, 14, 14, 14, 14, 13, 
##     13, 12, 10, 9, 8, 9, 10, 11, 12, 22, 19, 15, 14, 11, 9, 12, 
##     12, 11, 12, 10, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 
##     11, 11, 10, 10, 11, 17, 18, 19, 23, 24, 24, 27, 28, 29, 31, 
##     32, 32, 33, 32, 32, 31, 30, 30, 30, 29, 23, 22, 21, 17, 14, 
##     10, 10, 8, 8, 9, 9, 7, 8, 10, 26, 21, 19, 18, 16, 13, 13, 
##     18, 20, 26, 28, 32, 34, 34, 32, 29, 24, 21, 15, 14, 17, 21, 
##     22, 24, 25, 26, 27, 28, 28, 29, 30, 31, 31, 31, 31, 29, 30, 
##     29, 30, 31, 31, 31, 31, 31, 31, 30, 29, 29, 25, 24, 15, 14, 
##     12, 13, 14, 18, 21, 25, 28, 29, 30, 31, 31, 31, 30, 28, 25, 
##     15, 13, 13, 14, 20, 22, 24, 24, 24, 25, 27, 28, 30, 32, 34, 
##     34, 34, 32, 31, 29, 31, 30, 30, 30, 31, 31, 32, 32, 32, 32, 
##     31, 31, 29, 26, 25, 21, 18, 15, 28, 29, 28, 27, 28, 33, 32, 
##     33, 33, 32, 33, 33, 33, 33, 32, 33, 32, 32, 31, 30, 29, 28, 
##     27, 25, 25, 24, 22, 21, 20, 20, 20, 19, 19, 17, 17, 23, 25, 
##     29, 32, 34, 36, 38, 42, 46, 49, 49, 41, 31, 29, 27, 25, 17, 
##     16, 17, 18, 19, 20, 21, 24, 27, 30, 34, 44, 41, 31, 30, 30, 
##     30, 31, 31, 31, 31, 32, 34, 35, 35, 36, 38, 36, 35, 30, 23, 
##     22, 20, 18, 17, 16, 16, 25, 29, 39, 41, 47, 50, 52, 53, 53, 
##     51, 48, 42, 31, 29, 26, 23, 16, 15, 16, 17, 22, 23, 26, 29, 
##     31, 41, 40, 40, 34, 31, 31, 32, 31, 32, 33, 34, 35, 36, 37, 
##     34, 32, 28, 25, 22, 20, 16, 15, 14, 15, 23, 26, 28, 33, 40, 
##     43, 48, 57, 46, 39, 37, 32, 27, 24, 22, 19, 16, 17, 18, 19, 
##     20, 20, 24, 23, 25, 27, 27, 27, 30, 34, 36, 40, 37, 34, 31, 
##     30, 30, 30, 33, 35, 35, 33, 31, 29, 27, 20, 19, 16, 17, 20, 
##     34, 36, 38, 41, 50, 58, 60, 55, 44, 43, 38, 32, 27, 24, 18, 
##     18, 17, 24, 26, 31, 31, 34, 37, 40, 39, 34, 32, 31, 30, 30, 
##     30, 30, 31, 31, 34, 35, 36, 37, 36, 33, 31, 28, 26, 20, 18, 
##     16, 16, 19, 22, 28, 36, 38, 41, 45, 58, 60, 55, 50, 47, 44, 
##     43, 32, 31, 24, 21, 18, 18, 18, 19, 20, 20, 22, 26, 27, 29, 
##     31, 31, 34, 35, 35, 32, 31, 32, 32, 33, 33, 33, 33, 34, 33, 
##     33, 35, 34, 34, 33, 32, 29, 28, 27, 21, 20, 17, 16, 16, 15, 
##     18, 20, 23, 25, 52, 55, 57, 58, 57, 54, 47, 44, 38, 37, 35, 
##     29, 25, 19, 18, 18, 19, 19, 21, 23, 27, 28, 31, 32, 33, 38, 
##     34, 33, 30, 31, 32, 32, 33, 46, 55, 55, 47, 43, 38, 32, 31, 
##     28, 18, 20, 22, 24, 24, 26, 27, 28, 32, 33, 34, 22, 20, 17, 
##     14, 12, 11, 13, 18, 26, 26, 16, 12, 12, 20, 26, 29, 27, 28, 
##     27, 29, 30, 30, 31, 31, 31, 32, 32, 30, 31, 31, 31, 31, 31, 
##     28, 28, 28, 27, 25, 13, 10, 9, 9, 9, 12, 13, 14, 16, 20, 
##     21, 22, 25, 25, 26, 24, 22, 18, 12, 9, 11, 10, 13, 17, 17, 
##     22, 24, 25, 28, 29, 31, 31, 31, 31, 32, 32, 31, 30, 30, 31, 
##     32, 31, 30, 30, 29, 29, 26, 25, 25, 24, 20, 16, 15, 12, 10, 
##     9, 11, 18, 20, 22, 23, 25, 24, 23, 21, 21, 18, 17, 11, 11, 
##     17, 20, 22, 24, 24, 23, 22, 24, 27, 28, 29, 30, 30, 31, 30, 
##     29, 30, 30, 29, 28, 25, 23, 21, 10, 8, 8, 9, 12, 14, 20, 
##     23, 25, 24, 18, 14, 14, 13, 11, 13, 13, 17, 19, 24, 27, 30, 
##     32, 32, 32, 31, 31, 31, 31, 31, 32, 32, 31, 30, 24, 23, 20, 
##     18, 15, 10, 11, 12, 17, 17, 20, 22, 29, 25, 24, 19, 14, 11, 
##     15, 16, 19, 25, 26, 30, 31, 31, 31, 32, 32, 32, 32, 32, 33, 
##     32, 32, 32, 32, 33, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 
##     32, 31, 31, 31, 31, 30, 30, 29, 28, 27, 26, 25, 23, 22, 20, 
##     16, 11, 11, 15, 14, 12, 12, 13, 12, 11, 13, 14, 14, 14, 15, 
##     15, 15, 15, 15, 14, 14, 13, 9, 8, 8, 9, 9, 17, 20, 25, 28, 
##     37, 36, 37, 35, 33, 32, 31, 29, 23, 21, 18, 13, 13, 11, 13, 
##     12, 16, 19, 19, 18, 18, 18, 19, 19, 18, 18, 18, 20, 21, 22, 
##     34, 45, 52, 42, 37, 33, 25, 26, 20, 16, 17, 24, 21, 27, 22, 
##     26, 35, 40, 40, 40, 34, 34, 34, 33, 35, 35, 34, 34, 34, 35, 
##     35, 34, 34, 34, 34, 34, 34, 34, 35, 35, 34, 34, 35, 35, 35, 
##     35, 35, 35, 34, 34, 35, 35, 35, 34, 34, 35, 34, 35, 35, 35, 
##     34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 
##     35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 34, 33, 33, 32, 32, 
##     31, 31, 29, 23, 22, 12, 12, 12, 13, 13, 12, 12, 11, 12, 12, 
##     13, 13, 14, 12, 11, 10, 10, 11, 12, 12, 13, 14, 14, 13, 12, 
##     11, 11, 16, 15, 16, 13, 14, 14, 18, 19, 32, 35, 39, 40, 36, 
##     35, 34, 30, 28, 22, 21, 23, 17, 15, 18, 19, 16, 16, 15, 17, 
##     17, 16, 16, 15, 14, 14, 15, 15, 16, 16, 16, 16, 15, 14, 14, 
##     15, 17, 20, 24, 27, 37, 41, 41, 36, 30, 24, 19, 16, 16, 21, 
##     17, 14, 12, 17, 18, 16, 20, 20, 19, 17, 15, 15, 15, 16, 17, 
##     17, 16, 15, 14, 14, 14, 15, 16, 16, 22, 24, 30, 42, 38, 36, 
##     33, 31, 30, 29, 26, 22, 19, 17, 16, 19, 18, 22, 21, 21, 19, 
##     17, 17, 16, 17, 16, 16, 15, 13, 14, 17, 26, 28, 31, 36, 39, 
##     40, 39, 38, 35, 32, 28, 26, 23, 19, 17, 19, 15, 17, 14, 14, 
##     15, 16, 15, 15, 15, 15, 14, 13, 15, 16, 16, 16, 16, 15, 14, 
##     14, 14, 16, 14, 14, 16, 16, 16, 16, 16, 17, 17, 18, 17, 17, 
##     16, 15, 15, 13, 13, 14, 15, 26, 36, 38, 41, 36, 33, 30, 31, 
##     22, 23, 18, 15, 17, 17, 15, 19, 16, 18, 20, 17, 19, 19, 18, 
##     18, 16, 13, 16, 19, 26, 31, 34, 40, 41, 36, 36, 35, 33, 32, 
##     26, 25, 25, 22, 17, 16, 15, 18, 19, 17, 21, 23, 24, 21, 22, 
##     22, 23, 23, 23, 21, 19, 17, 14, 14, 14, 15, 21, 21, 29, 32, 
##     35, 37, 37, 31, 30, 28, 24, 20, 17, 16, 14, 17, 17, 16, 17, 
##     17, 18, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 18, 17, 15, 
##     16, 16, 16, 16, 25, 28, 35, 42, 43, 43, 40, 38, 37, 32, 30, 
##     19, 24, 28, 31, 42, 40, 37, 34, 33, 20, 16, 15, 15, 18, 16, 
##     15, 14, 12, 13, 12, 12, 28, 27, 27, 27, 27, 27, 27, 28, 28, 
##     28, 28, 28, 27, 26, 25, 25, 26, 26, 25, 21, 25, 26, 28, 29, 
##     28, 29, 30, 30, 31, 30, 31, 31, 31, 31, 32, 32, 27, 27, 27, 
##     27, 26, 14, 15, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 
##     13, 13, 13, 11, 8, 7, 6, 5, 8, 9, 10, 15, 16, 19, 22, 22, 
##     24, 25, 25, 27, 27, 28, 29, 29, 30, 30, 30, 29, 29, 30, 30, 
##     19, 17, 15, 14, 13, 12, 11, 10, 10, 9, 9, 9, 9, 9, 8, 8, 
##     9, 8, 9, 8, 16, 14, 14, 13, 10, 8, 7, 7, 8, 8, 9, 10, 12, 
##     14, 15, 22, 24, 30, 31, 33, 33, 30, 29, 9, 10, 10, 10, 11, 
##     10, 11, 11, 11, 10, 11, 11, 10, 10, 12, 12, 14, 16, 17, 20, 
##     24, 25, 26, 27, 28, 30, 30, 31, 31, 31, 31, 30, 29, 29, 26, 
##     26, 26, 25, 13, 15, 12, 8, 6, 11, 11, 11, 12, 12, 19, 20, 
##     24, 26, 29, 29, 28, 26, 26, 25, 26, 25, 25, 24, 21, 17, 17, 
##     15, 13, 12, 11, 10, 8, 6, 8, 13, 13, 14, 14, 14, 13, 13, 
##     14, 15, 14, 14, 14, 14, 14, 15, 15, 12, 11, 11, 10, 10, 9, 
##     9, 10, 11, 11, 14, 16, 19, 19, 20, 21, 22, 25, 26, 28, 27, 
##     25, 24, 24, 25, 24, 24, 24, 21, 21, 21, 20, 19, 12, 12, 9, 
##     6, 10, 11, 11, 12, 14, 15, 15, 15, 15, 16, 15, 16, 15, 15, 
##     16, 15, 15, 15, 14, 14, 13, 12, 11, 10, 13, 14, 15, 16, 17, 
##     22, 23, 26, 27, 25, 25, 25, 24, 24, 23, 22, 19, 18, 17, 17, 
##     14, 8, 7, 11, 11, 10, 9, 10, 11, 11, 11, 11, 11, 11, 12, 
##     12, 13, 13, 13, 12, 12, 12, 12, 13, 11, 11, 10, 11, 9, 7, 
##     9, 6, 8, 8, 10, 9, 9, 9, 10, 10, 10, 11, 11, 9, 12, 14, 20, 
##     20, 26, 27, 28, 29, 30, 30, 31, 30, 30, 30, 28, 27, 27, 27, 
##     24, 24, 22, 21, 19, 18, 16, 12, 13, 13, 13, 14, 15, 15, 15, 
##     16, 17, 17, 17, 12, 10, 9, 9, 12, 13, 13, 16, 29, 28, 24, 
##     21, 19, 16, 8, 9, 9, 8, 9, 7, 5, 8, 8, 6, 8, 7, 9, 8, 9, 
##     8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 
##     10, 10, 11, 9, 9, 10, 10, 11, 12, 12, 15, 32, 31, 30, 30, 
##     29, 29, 30, 30, 30, 29, 30, 30, 28, 27, 25, 22, 21, 19, 25, 
##     22, 21, 15, 8, 8, 8, 8, 8, 9, 10, 11, 14, 14, 13, 14, 15, 
##     12, 13, 12, 12, 12, 12, 11, 11, 11, 8, 7, 7, 10, 10, 14, 
##     18, 19, 18, 18, 20, 21, 20, 21, 24, 19, 16, 14, 12, 11, 9, 
##     8, 8, 8, 8, 8, 11, 12, 13, 13, 13, 13, 13, 16, 19, 21, 21, 
##     17, 18, 17, 10, 8, 6, 8, 11, 15, 15, 21, 22, 23, 24, 27, 
##     28, 29, 28, 27, 28, 28, 29, 29, 14, 15, 16, 17, 17, 18, 18, 
##     16, 16, 15, 15, 15, 15, 14, 14, 12, 11, 11, 9, 9, 9, 9, 7, 
##     8, 8, 14, 15, 20, 21, 23, 23, 26, 29, 29, 29, 29, 30, 30, 
##     30, 30, 30, 30, 30, 27, 27, 26, 25, 25, 23, 18, 17, 16, 13, 
##     10, 10, 10, 10, 9, 9, 11, 12, 12, 13, 15, 18, 19, 19, 18, 
##     18, 18, 18, 18, 17, 16, 14, 11, 11, 6, 7, 7, 8, 9, 11, 11, 
##     12, 13, 14, 17, 18, 21, 24, 24, 24, 24, 11, 10, 9, 9, 8, 
##     8, 5, 6, 9, 11, 12, 12, 13, 13, 13, 14, 15, 15, 15, 14, 13, 
##     13, 12, 12, 10, 9, 9, 8, 8, 7, 7, 8, 8, 30, 29, 28, 26, 26, 
##     26, 23, 20, 19, 19, 19, 17, 12, 10, 9, 9, 8, 8, 9, 10, 11, 
##     12, 11, 12, 13, 13, 15, 15, 15, 15, 14, 17, 19, 21, 20, 23, 
##     26, 29, 30, 32, 33, 32, 31, 30, 28, 26, 25, 23, 13, 14, 19, 
##     20, 20, 22, 23, 24, 25, 25, 28, 29, 30, 30, 32, 31, 30, 29, 
##     29, 28, 27, 27, 24, 23, 21, 19, 18, 18, 16, 15, 11, 10, 8, 
##     8, 10, 12, 12, 13, 12, 12, 11, 11, 10, 9, 8, 10, 14, 21, 
##     25, 25, 25, 27, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 31, 31, 25, 24, 24, 23, 22, 18, 16, 11, 11, 9, 10, 13, 
##     13, 14, 18, 18, 22, 24, 26, 26, 30, 29, 30, 31, 31, 30, 30, 
##     29, 24, 27, 28, 28, 28, 29, 29, 29, 27, 27, 26, 25, 25, 25, 
##     24, 22, 21, 20, 15, 14, 13, 11, 29, 29, 29, 29, 29, 29, 28, 
##     28, 26, 25, 24, 23, 20, 18, 16, 11, 10, 10, 9, 8, 8, 8, 31, 
##     28, 23, 23, 20, 17, 18, 15, 14, 18, 18, 21, 22, 20, 20, 20, 
##     21, 20, 20, 18, 18, 16, 15, 17, 17, 19, 29, 39, 40, 36, 34, 
##     33, 28, 28, 22, 20, 22, 15, 16, 19, 15, 19, 18, 18, 17, 14, 
##     13, 12, 12, 11, 11, 11, 12, 12, 12, 12, 11, 11, 12, 12, 12, 
##     12, 12, 12, 12, 21, 15, 14, 16, 15, 12, 11, 21, 13, 15, 17, 
##     14, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 12, 12, 
##     12, 12, 32, 29, 28, 27, 14, 13, 17, 20, 38, 43, 49, 51, 51, 
##     50, 39, 37, 33, 28, 19, 23, 19, 18, 20, 21, 24, 25, 25, 27, 
##     33, 35, 37, 38, 36, 33, 30, 29, 29, 29, 30, 31, 32, 32, 33, 
##     34, 33, 19, 19, 16, 14, 15, 16, 15, 17, 21, 24, 26, 28, 30, 
##     29, 28, 28, 27, 26, 24, 20, 19, 17, 15, 15, 15, 18, 18, 20, 
##     20, 20, 21, 27, 26, 27, 33, 33, 33, 33, 33, 31, 31, 31, 31, 
##     31, 31, 30, 30, 31, 31, 32, 30, 29, 29, 25, 24, 21, 20, 14, 
##     15, 17, 20, 26, 29, 29, 29, 30, 29, 28, 26, 20, 19, 17, 16, 
##     13, 13, 14, 15, 16, 20, 20, 20, 22, 23, 49, 48, 47, 47, 46, 
##     46, 45, 45, 42, 42, 41, 39, 38, 35, 34, 35, 33, 35, 35, 34, 
##     33, 33, 31, 31, 30, 30, 35, 36, 30, 27, 28, 30, 30, 31, 27, 
##     27, 27, 28, 30, 33, 34, 34, 35, 36, 37, 37, 37, 38, 39, 39, 
##     36, 33, 33, 33, 33, 32, 32, 33, 32, 29, 28, 28, 29, 39, 39, 
##     39, 39, 40, 41, 41, 41, 42, 43, 44, 46, 46, 46, 46, 45, 45, 
##     44, 41, 38, 37, 37, 37, 32, 22, 21, 20, 18, 15, 14, 13, 11, 
##     10, 11, 12, 10, 14, 14, 13, 17, 18, 19, 19, 17, 16, 15, 14, 
##     12, 11, 9, 9, 9, 13, 15, 10, 11, 12, 12, 13, 13, 14, 16, 
##     21, 25, 30, 33, 34, 35, 36, 33, 25, 24, 25, 22, 19, 16, 15, 
##     14, 35, 35, 34, 29, 27, 19, 15, 14, 15, 16, 17, 18, 26, 26, 
##     28, 31, 31, 32, 32, 31, 31, 33, 34, 35, 35, 36, 37, 38, 38, 
##     39, 38, 39, 39, 39, 39, 39, 38, 38, 38, 38, 38, 31, 26, 33, 
##     39, 38, 37, 36, 34, 26, 15, 4, 6, 10, 13, 14, 16, 20, 24, 
##     26, 32, 34, 33, 30, 30, 30, 30, 30, 30, 27, 28, 27, 28, 28, 
##     29, 28, 28, 27, 26, 23, 18, 15, 11, 6, 11, 15, 29, 31, 33, 
##     34, 35, 39, 40, 43, 45, 43, 38, 36, 34, 33, 32, 29, 28, 24, 
##     19, 16, 10, 7, 3, 6, 8, 10, 19, 21, 26, 29, 30, 29, 28, 29, 
##     28, 27, 29, 29, 29, 28, 27, 28, 28, 25, 25, 24, 25, 25, 25, 
##     24, 23, 22, 19, 10, 10, 18, 21, 26, 32, 34, 40, 45, 51, 52, 
##     53, 54, 51, 50, 49, 44, 41, 39, 35, 32, 27, 24, 20, 16, 12, 
##     8, 6, 8, 2, 5, 13, 13, 21, 22, 25, 28, 29, 29, 29, 29, 29, 
##     29, 30, 16, 21, 30, 35, 40, 45, 48, 50, 52, 54, 54, 55, 18, 
##     18, 18, 17, 16, 16, 15, 11, 9, 5, 15, 16, 22, 23, 25, 27, 
##     32, 37, 40, 41, 39, 38, 36, 35, 34, 32, 28, 26, 24, 17, 13, 
##     13, 10, 13, 12, 14, 15, 17, 17, 17, 21, 21, 21, 20, 19, 19, 
##     18, 16, 16, 15, 14, 13, 12, 10, 11, 11, 14, 16, 17, 25, 27, 
##     28, 37, 38, 39, 39, 38, 33, 32, 31, 29, 27, 26, 22, 17, 17, 
##     14, 14, 12, 12, 11, 11, 12, 13, 15, 15, 17, 17, 18, 18, 19, 
##     19, 19, 17, 17, 15, 12, 10, 11, 12, 13, 16, 17, 18, 21, 23, 
##     24, 26, 27, 29, 34, 37, 38, 39, 39, 38, 37, 36, 35, 33, 32, 
##     31, 22, 18, 17, 12, 11, 12, 11, 13, 13, 14, 15, 17, 23, 23, 
##     24, 22, 22, 21, 20, 20, 20, 20, 20, 18, 14, 13, 15, 17, 18, 
##     19, 21, 22, 24, 25, 27, 32, 36, 37, 38, 38, 38, 38, 37, 37, 
##     34, 31, 29, 27, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 
##     31, 30, 30, 30, 31, 30, 30, 29, 29, 29, 27, 24, 23, 23, 23, 
##     23, 23, 13, 12, 14, 21, 25, 30, 35, 36, 38, 42, 46, 47, 51, 
##     51, 50, 49, 49, 49, 50, 50, 49, 49, 49, 49, 48, 43, 37, 34, 
##     27, 26, 18, 14, 14, 14, 14, 19, 20, 21, 29, 29, 31, 32, 31, 
##     28, 28, 28, 27, 28, 29, 30, 30, 29, 28, 19, 14, 11, 10, 10, 
##     11, 13, 15, 14, 13, 12, 13, 18, 19, 20, 22, 23, 22, 23, 23, 
##     22, 20, 20, 20, 19, 19, 19, 20, 20, 21, 21, 21, 19, 16, 14, 
##     12, 10, 9, 9, 11, 16, 18, 24, 25, 26, 33, 36, 47, 54, 55, 
##     53, 51, 50, 49, 47, 46, 43, 42, 42, 37, 27, 16, 14, 13, 14, 
##     26, 29, 32, 32, 28, 27, 26, 24, 26, 26, 26, 27, 29, 21, 13, 
##     10, 14, 16, 23, 27, 36, 40, 43, 57, 54, 52, 50, 48, 47, 42, 
##     41, 39, 36, 32, 25, 23, 22, 19, 15, 14, 12, 15, 16, 24, 26, 
##     26, 26, 27, 26, 26, 25, 26, 27, 28, 25, 22, 20, 18, 15, 13, 
##     11, 11, 15, 18, 19, 21, 27, 28, 30, 33, 36, 39, 44, 48, 48, 
##     49, 47, 44, 40, 37, 36, 34, 30, 29, 27, 24, 23, 21, 18, 12, 
##     13, 16, 19, 22, 22, 23, 24, 26, 26, 26, 26, 26, 24, 25, 26, 
##     26, 26, 26, 24, 23, 22, 22, 19, 17, 13, 13, 13, 25, 33, 36, 
##     39, 40, 41, 43, 47, 48, 48, 46, 43, 41, 38, 35, 34, 31, 29, 
##     27, 19, 16, 14, 16, 16, 22, 26, 25, 26, 29, 29, 31, 34, 34, 
##     34, 33, 32, 30, 31, 32, 32, 34, 33, 32, 22, 11, 13, 18, 21, 
##     27, 31, 31, 40, 42, 44, 45, 47, 47, 48, 48, 47, 47, 45, 38, 
##     37, 33, 24, 20, 17, 17, 15, 15, 21, 26, 26, 36, 33, 31, 28, 
##     23, 24, 23, 21, 21, 17, 11, 9, 10, 9, 8, 8, 7, 7, 7, 7, 8, 
##     7, 5, 5, 7, 11, 16, 18, 32, 31, 28, 23, 17, 17, 17, 17, 42, 
##     54, 64, 48, 42, 40, 32, 27, 22, 25, 25, 22, 18, 19, 17, 18, 
##     18, 17, 15, 14, 12, 11, 9, 10, 11, 12, 14, 15, 18, 19, 21, 
##     26, 25, 25, 26, 25, 24, 25, 26, 25, 32, 59, 62, 64, 44, 42, 
##     42, 41, 37, 37, 30, 31, 23, 21, 28, 22, 20, 24, 18, 17, 16, 
##     17, 12, 11, 11, 11, 9, 9, 5, 6, 7, 7, 12, 13, 19, 22, 22, 
##     24, 24, 24, 25, 26, 24, 24, 29, 27, 27, 30, 61, 42, 44, 43, 
##     43, 41, 11, 12, 13, 14, 15, 15, 15, 15, 15, 15, 15, 14, 13, 
##     13, 12, 11, 10, 8, 8, 9, 10, 11, 12, 13, 14, 15, 21, 22, 
##     25, 25, 26, 27, 30, 34, 34, 31, 31, 30, 26, 24, 21, 18, 16, 
##     13, 12, 10, 8, 9, 11, 10, 8, 9, 9, 10, 11, 12, 14, 15, 15, 
##     14, 14, 13, 13, 13, 13, 13, 12, 12, 13, 13, 13, 16, 17, 19, 
##     23, 23, 24, 24, 26, 27, 27, 28, 28, 31, 32, 34, 33, 32, 33, 
##     32, 33, 25, 21, 20, 19, 16, 16, 15, 14, 14, 9, 9, 6, 7, 7, 
##     7, 8, 8, 9, 10, 11, 13, 13, 13, 12, 13, 13, 12, 11, 9, 9, 
##     10, 12, 13, 13, 14, 14, 16, 20, 20, 22, 23, 26, 27, 28, 28, 
##     28, 28, 28, 30, 31, 35, 34, 32, 32, 32, 32, 30, 29, 28, 26, 
##     21, 20, 16, 12, 12, 11, 13, 13, 13, 13, 12, 12, 12, 12, 11, 
##     10, 10, 10, 12, 13, 13, 14, 15, 14, 14, 13, 12, 12, 11, 11, 
##     10, 8, 8, 8, 8, 9, 10, 12, 16, 18, 18, 20, 20, 25, 24, 25, 
##     25, 26, 27, 28, 28, 28, 28, 28, 29, 30, 32, 37, 38, 37, 35, 
##     34, 33, 32, 32, 31, 30, 30, 29, 27, 27, 25, 22, 16, 17, 16, 
##     15, 12, 13, 10, 8, 9, 10, 12, 12, 13, 15, 17, 17, 21, 22, 
##     23, 24, 25, 27, 28, 28, 29, 30, 31, 29, 28, 27, 29, 31, 32, 
##     31, 30, 31, 32, 33, 32, 31, 31, 31, 32, 31, 32, 32, 32, 33, 
##     33, 32, 31, 31, 32, 32, 29, 29, 29, 28, 27, 25, 24, 21, 19, 
##     15, 11, 9, 11, 13, 16, 17, 22, 24, 26, 28, 33, 33, 38, 40, 
##     42, 40, 39, 32, 29, 13, 13, 12, 10, 9, 9, 9, 11, 12, 13, 
##     13, 18, 20, 22, 23, 24, 26, 31, 31, 31, 32, 33, 32, 31, 32, 
##     33, 33, 33, 32, 32, 32, 31, 32, 31, 29, 29, 29, 27, 22, 22, 
##     18, 12, 10, 9, 9, 9, 12, 15, 16, 16, 17, 18, 20, 22, 23, 
##     24, 25, 27, 28, 30, 32, 33, 35, 36, 36, 36, 36, 36, 35, 34, 
##     32, 31, 29, 15, 14, 13, 12, 11, 10, 9, 8, 9, 9, 11, 14, 14, 
##     16, 18, 19, 20, 24, 25, 28, 29, 29, 30, 30, 29, 29, 29, 29, 
##     30, 28, 27, 26, 26, 19, 17, 14, 12, 7, 7, 10, 10, 16, 20, 
##     22, 23, 23, 25, 26, 33, 37, 38, 39, 41, 41, 38, 37, 34, 30, 
##     28, 24, 23, 22, 21, 19, 15, 14, 10, 10, 8, 9, 8, 9, 10, 11, 
##     13, 14, 18, 16, 15, 12, 6, 4, 2, 3, 5, 10, 12, 15, 17, 25, 
##     26, 28, 29, 34, 36, 37, 37, 36, 36, 36, 37, 36, 34, 32, 31, 
##     30, 29, 28, 27, 25, 24, 22, 21, 17, 16, 13, 11, 10, 10, 10, 
##     9, 15, 16, 21, 26, 27, 28, 28, 29, 29, 29, 29, 28, 28, 28, 
##     25, 24, 23, 23, 23, 24, 22, 15, 10, 10, 14, 17, 20, 21, 24, 
##     25, 27, 30, 33, 36, 40, 41, 40, 38, 35, 34, 33, 31, 30, 26, 
##     25, 21, 13, 12, 10, 10, 14, 12, 13, 17, 24, 24, 23, 27, 27, 
##     26, 27, 27, 27, 29, 27, 27, 27, 27, 27, 27, 26, 26, 27, 23, 
##     22, 19, 18, 17, 13, 11, 10, 9, 11, 16, 25, 26, 27, 27, 30, 
##     31, 41, 42, 42, 36, 35, 34, 34, 34, 33, 33, 32, 32, 31, 29, 
##     24, 23, 21, 19, 18, 17, 14, 13, 12, 11, 12, 11, 12, 18, 20, 
##     22, 26, 27, 31, 31, 29, 28, 28, 28, 29, 29, 30, 30, 27, 26, 
##     25, 25, 22, 19, 13, 11, 11, 11, 15, 16, 20, 22, 22, 23, 25, 
##     26, 31, 35, 37, 41, 41, 40, 38, 37, 35, 31, 30, 25, 23, 22, 
##     20, 13, 12, 10, 9, 10, 11, 11, 12, 14, 19, 20, 21, 23, 26, 
##     29, 28, 28, 29, 29, 31, 32, 30, 30, 29, 36, 37, 40, 40, 39, 
##     35, 33, 32, 30, 30, 30, 34, 34, 36, 37, 36, 35, 32, 23, 20, 
##     18, 16, 15, 17, 19, 19, 25, 29, 56, 56, 55, 49, 47, 45, 43, 
##     38, 37, 31, 25, 20, 19, 19, 20, 20, 20, 20, 21, 22, 28, 30, 
##     31, 33, 35, 38, 38, 31, 31, 31, 31, 33, 34, 36, 33, 32, 31, 
##     29, 26, 20, 15, 16, 16, 19, 20, 26, 40, 45, 49, 58, 48, 45, 
##     42, 41, 40, 33, 27, 23, 19, 19, 33, 33, 34, 33, 33, 33, 33, 
##     33, 33, 33, 32, 32, 32, 33, 32, 33, 33, 33, 33, 33, 33, 32, 
##     33, 32, 31, 29, 29, 29, 29, 29, 28, 25, 24, 24, 20, 17, 16, 
##     20, 22, 24, 26, 31, 35, 43, 45, 50, 49, 45, 42, 39, 38, 36, 
##     32, 29, 27, 23, 22, 20, 21, 19, 21, 21, 20, 20, 20, 20, 20, 
##     20, 19, 19, 20, 21, 25, 27, 35, 45, 50, 45, 43, 41, 33, 33, 
##     32, 31, 29, 28, 27, 21, 20, 21, 20, 19, 20, 20, 20, 20, 20, 
##     20, 20, 20, 21, 20, 18, 18, 18, 20, 21, 25, 28, 30, 31, 39, 
##     42, 49, 54, 54, 44, 40, 38, 37, 35, 28, 25, 21, 19, 19, 19, 
##     17, 17, 17, 19, 20, 20, 20, 19, 19, 19, 18, 18, 18, 17, 19, 
##     20, 27, 29, 40, 43, 53, 54, 48, 46, 42, 37, 36, 34, 32, 28, 
##     26, 23, 21, 20, 18, 18, 17, 16, 18, 18, 17, 18, 17, 17, 17, 
##     17, 17, 17, 17, 17, 16, 16, 17, 17, 19, 21, 25, 40, 47, 44, 
##     16, 16, 16, 16, 17, 18, 18, 28, 30, 32, 38, 43, 52, 52, 50, 
##     45, 41, 39, 36, 35, 27, 26, 24, 22, 16, 15, 16, 15, 15, 14, 
##     14, 16, 17, 17, 18, 18, 19, 19, 19, 18, 16, 14, 13, 12, 11, 
##     12, 14, 18, 19, 24, 28, 33, 35, 37, 40, 44, 51, 54, 51, 41, 
##     37, 36, 32, 21, 18, 17, 16, 15, 15, 15, 17, 17, 17, 18, 17, 
##     17, 16, 16, 16, 15, 15, 15, 14, 13, 13, 14, 18, 19, 21, 23, 
##     31, 35, 38, 40, 50, 48, 46, 44, 41, 38, 36, 35, 33, 28, 24, 
##     20, 18, 17, 16, 16, 16, 14, 15, 15, 13, 16, 17, 18, 17, 17, 
##     18, 17, 16, 15, 14, 19, 20, 29, 32, 34, 36, 49, 17, 16, 15, 
##     14, 13, 11, 11, 13, 18, 22, 35, 40, 43, 49, 52, 54, 55, 53, 
##     49, 46, 43, 42, 13, 13, 12, 12, 12, 12, 13, 13, 13, 13, 13, 
##     13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 
##     14, 14, 14, 14, 14, 14, 14, 13, 13, 14, 13, 14, 13, 14, 14, 
##     14, 14, 13, 13, 14, 14, 13, 13, 14, 14, 13, 13, 14, 14, 14, 
##     13, 13, 14, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 
##     14, 15, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 14, 13, 
##     13, 13, 12, 12, 14, 14, 14, 14, 13, 13, 14, 13, 13, 13, 14, 
##     14, 14, 13, 13, 13, 13, 13, 13, 13, 14, 13, 13, 14, 14, 14, 
##     13, 13, 14, 13, 13, 14, 13, 14, 14, 14, 13, 13, 13, 14, 13, 
##     13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 14, 14, 14, 
##     13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 
##     14, 14, 13, 14, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 
##     14, 13, 14, 13, 14, 14, 13, 14, 15, 16, 16, 17, 20, 23, 22, 
##     21, 23, 27, 31, 34, 35, 35, 35, 35, 34, 35, 35, 34, 34, 35, 
##     36, 36, 36, 36, 37, 35, 35, 35, 35, 34, 34, 33, 32, 32, 34, 
##     38, 40, 39, 36, 33, 34, 36, 36, 36, 31, 26, 22, 22, 23, 18, 
##     20, 28, 30, 36, 57, 52, 49, 45, 37, 35, 35, 29, 25, 22, 18, 
##     19, 25, 29, 36, 38, 39, 42, 50, 43, 40, 38, 31, 33, 41, 42, 
##     42, 44, 45, 44, 39, 38, 26, 22, 20, 22, 24, 25, 35, 41, 58, 
##     46, 41, 34, 31, 27, 19, 17, 20, 27, 31, 37, 46, 41, 47, 48, 
##     46, 34, 35, 42, 43, 43, 44, 44, 44, 39, 36, 40, 38, 38, 39, 
##     40, 39, 35, 32, 23, 21, 21, 22, 29, 34, 46, 51, 42, 33, 22, 
##     27, 15, 27, 16, 34, 21, 41, 38, 41, 35, 33, 31, 31, 33, 35, 
##     37, 38, 41, 38, 38, 36, 33, 38, 37, 35, 30, 26, 24, 21, 19, 
##     20, 30, 45, 40, 39, 36, 21, 20, 20, 18, 19, 18, 22, 26, 36, 
##     40, 43, 47, 51, 47, 44, 37, 33, 34, 26, 25, 15, 15, 26, 33, 
##     31, 38, 39, 36, 34, 35, 41, 38, 35, 33, 30, 22, 20, 20, 30, 
##     36, 44, 12, 13, 14, 14, 15, 16, 16, 17, 16, 15, 12, 11, 10, 
##     10, 13, 18, 19, 25, 28, 29, 29, 30, 29, 28, 29, 28, 26, 26, 
##     26, 26, 25, 24, 23, 20, 19, 18, 17, 16, 14, 12, 12, 9, 9, 
##     6, 5, 8, 8, 8, 9, 9, 8, 8, 9, 10, 11, 12, 12, 13, 13, 13, 
##     12, 13, 13, 13, 13, 13, 13, 15, 16, 15, 15, 15, 13, 12, 11, 
##     10, 11, 12, 18, 18, 20, 21, 27, 28, 29, 29, 28, 28, 28, 26, 
##     23, 22, 18, 16, 14, 11, 9, 9, 11, 9, 9, 5, 6, 9, 7, 10, 9, 
##     9, 11, 11, 11, 11, 12, 13, 13, 12, 12, 12, 12, 13, 13, 14, 
##     13, 13, 14, 13, 13, 11, 10, 19, 20, 24, 26, 28, 29, 32, 32, 
##     32, 32, 32, 31, 30, 30, 29, 29, 28, 26, 23, 16, 11, 7, 5, 
##     7, 12, 11, 11, 10, 11, 11, 11, 14, 14, 14, 14, 14, 15, 15, 
##     15, 14, 13, 13, 13, 14, 13, 13, 13, 12, 12, 12, 11, 15, 17, 
##     17, 17, 18, 22, 28, 32, 36, 38, 39, 39, 32, 32, 33, 33, 33, 
##     33, 32, 32, 31, 31, 31, 31, 32, 32, 29, 28, 27, 24, 23, 21, 
##     19, 16, 8, 4, 6, 11, 12, 18, 17, 17, 17, 19, 21, 21, 22, 
##     23, 24, 24, 27, 27, 27, 28, 28, 28, 29, 29, 29, 29, 29, 29, 
##     28, 28, 28, 28, 27, 29, 28, 28, 28, 28, 27, 28, 27, 27, 27, 
##     28, 28, 28, 27, 28, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 
##     30, 31, 31, 31, 31, 31, 31, 31, 31, 30, 29, 28, 29, 28, 29, 
##     31, 29, 28, 26, 23, 20, 15, 11, 10, 9, 10, 25, 28, 39, 45, 
##     46, 47, 49, 50, 49, 48, 49, 48, 47, 48, 48, 47, 46, 45, 44, 
##     43, 41, 40, 32, 30, 27, 24, 19, 16, 14, 28, 28, 28, 27, 26, 
##     23, 16, 14, 12, 10, 7, 6, 14, 16, 22, 25, 27, 35, 37, 42, 
##     47, 52, 52, 52, 51, 49, 45, 43, 39, 34, 31, 29, 26, 23, 17, 
##     15, 6, 4, 2, 2, 3, 6, 16, 17, 18, 18, 20, 22, 24, 24, 28, 
##     31, 33, 32, 28, 29, 27, 28, 28, 27, 30, 28, 29, 28, 27, 26, 
##     22, 20, 19, 13, 11, 9, 11, 14, 17, 19, 24, 27, 31, 34, 38, 
##     40, 47, 47, 48, 48, 46, 45, 45, 45, 44, 42, 40, 40, 39, 22, 
##     26, 26, 29, 29, 27, 28, 28, 26, 26, 26, 27, 29, 30, 23, 14, 
##     12, 13, 16, 20, 22, 24, 36, 35, 30, 28, 27, 25, 17, 16, 14, 
##     9, 7, 7, 7, 6, 12, 18, 20, 20, 2, 3, 4, 6, 10, 16, 17, 19, 
##     21, 22, 23, 30, 34, 33, 29, 26, 24, 26, 29, 30, 30, 30, 29, 
##     29, 27, 26, 27, 30, 30, 30, 30, 30, 30, 30, 30, 31, 30, 31, 
##     30, 30, 30, 29, 29, 30, 30, 30, 29, 19, 21, 22, 21, 21, 21, 
##     21, 23, 25, 27, 31, 36, 37, 38, 40, 51, 58, 54, 50, 47, 46, 
##     36, 28, 23, 19, 20, 17, 16, 15, 14, 14, 13, 11, 12, 29, 22, 
##     26, 19, 21, 19, 20, 13, 12, 12, 12, 12, 11, 11, 12, 12, 12, 
##     14, 15, 18, 20, 21, 21, 20, 22, 23, 22, 25, 29, 28, 27, 29, 
##     33, 52, 46, 45, 44, 45, 44, 37, 34, 30, 25, 22, 24, 20, 24, 
##     18, 18, 15, 14, 14, 13, 14, 13, 9, 8, 9, 9, 8, 9, 9, 12, 
##     14, 16, 18, 21, 20, 21, 22, 21, 22, 22, 23, 24, 24, 28, 29, 
##     31, 31, 33, 37, 39, 45, 56, 59, 55, 50, 47, 43, 40, 37, 30, 
##     24, 26, 19, 18, 20, 17, 15, 14, 33, 29, 24, 22, 23, 21, 18, 
##     21, 20, 18, 20, 15, 12, 12, 14, 17, 17, 13, 10, 7, 7, 8, 
##     51, 48, 46, 40, 37, 35, 33, 29, 19, 21, 16, 22, 20, 18, 21, 
##     19, 14, 15, 15, 15, 13, 14, 13, 13, 11, 10, 10, 10, 8, 20, 
##     20, 21, 23, 24, 24, 23, 24, 26, 28, 35, 38, 44, 56, 65, 65, 
##     56, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 3, 3, 2, 1, 2, 1, 2, 
##     3, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 5, 6, 6, 5, 6, 6, 5, 5, 
##     5, 3, 4, 46, 44, 39, 35, 32, 26, 24, 22, 15, 25, 21, 25, 
##     35, 28, 42, 41, 42, 42, 39, 37, 35, 32, 32, 33, 35, 37, 39, 
##     39, 38, 36, 30, 24, 21, 19, 18, 21, 18, 19, 47, 47, 45, 42, 
##     32, 24, 24, 21, 22, 16, 24, 25, 15, 15, 15, 18, 23, 28, 29, 
##     30, 29, 29, 28, 28, 30, 30, 31, 32, 32, 24, 23, 23, 22, 43, 
##     41, 35, 33, 31, 28, 17, 19, 25, 24, 21, 28, 30, 30, 28, 37, 
##     44, 43, 36, 35, 34, 32, 35, 40, 40, 40, 36, 34, 33, 32, 31, 
##     29, 22, 22, 38, 46, 47, 48, 47, 45, 35, 33, 20, 27, 26, 15, 
##     28, 17, 20, 25, 27, 35, 31, 25, 19, 24, 26, 38, 48, 50, 48, 
##     45, 43, 41, 33, 30, 29, 18, 18, 21, 19, 18, 24, 35, 38, 50, 
##     45, 14, 14, 14, 14, 14, 14, 14, 14, 13, 14, 13, 14, 14, 14, 
##     13, 13, 14, 14, 14, 14, 13, 13, 14, 13, 14, 14, 14, 13, 14, 
##     48, 40, 34, 32, 30, 24, 19, 17, 14, 14, 13, 13, 14, 15, 14, 
##     14, 16, 18, 19, 17, 16, 16, 40, 39, 34, 30, 19, 19, 19, 17, 
##     17, 18, 19, 20, 23, 23, 24, 22, 22, 22, 22, 22, 21, 21, 20, 
##     19, 18, 18, 17, 17, 18, 19, 20, 21, 22, 25, 27, 31, 33, 34, 
##     34, 34, 34, 32, 31, 31, 31, 32, 32, 33, 33, 33, 51, 50, 49, 
##     40, 36, 21, 15, 20, 20, 20, 17, 17, 16, 13, 9, 8, 7, 7, 5, 
##     4, 4, 2, 4, 1, 3, 2, 1, 2, 1, 1, 8, 9, 10, 11, 14, 15, 20, 
##     21, 24, 24, 24, 27, 23, 23, 24, 24, 26, 28, 29, 40, 53, 60, 
##     59, 15, 15, 14, 14, 18, 12, 15, 16, 23, 22, 23, 23, 22, 24, 
##     24, 24, 34, 40, 52, 51, 47, 40, 12, 14, 16, 17, 18, 21, 21, 
##     22, 23, 23, 23, 23, 23, 25, 25, 27, 28, 31, 35, 37, 47, 59, 
##     61, 59, 56, 46, 37, 35, 31, 28, 27, 30, 22, 24, 21, 17, 14, 
##     13, 14, 12, 12, 12, 11, 10, 10, 9, 8, 8, 8, 11, 29, 33, 42, 
##     49, 54, 56, 53, 51, 49, 46, 42, 39, 31, 21, 16, 16, 14, 15, 
##     16, 19, 19, 23, 23, 22, 17, 18, 19, 20, 20, 19, 19, 21, 21, 
##     19, 18, 17, 17, 17, 18, 18, 18, 17, 16, 13, 12, 10, 13, 14, 
##     17, 18, 24, 21, 32, 35, 38, 56, 53, 51, 50, 50, 49, 49, 46, 
##     45, 44, 41, 40, 36, 33, 28, 20, 17, 24, 20, 19, 16, 16, 14, 
##     10, 12, 10, 16, 20, 21, 22, 22, 23, 24, 25, 27, 27, 28, 28, 
##     29, 29, 29, 29, 29, 29, 30, 29, 28, 27, 28, 29, 30, 24, 22, 
##     18, 11, 10, 10, 9, 30, 31, 33, 35, 38, 40, 41, 48, 48, 47, 
##     45, 44, 41, 41), gyros_arm_x = c(0, 0.02, 0.02, 0.02, 0, 
##     0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.03, 0.02, 0.02, 
##     0.03, 0.03, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0, 0, 0, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 
##     0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, 
##     0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 
##     0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 
##     0.02, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0, -0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 
##     0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.02, 
##     0.02, 0, 0, 0, 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     0, -0.05, -0.05, -0.05, -0.06, -0.06, -0.08, -0.05, -0.06, 
##     -0.06, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.08, -0.08, -0.08, 
##     -0.06, -0.08, -0.1, -0.1, -0.11, -0.14, -0.13, -0.14, -0.13, 
##     -0.11, -0.1, -0.06, -0.08, -0.06, -0.05, -0.02, -0.03, 0.5, 
##     -0.26, -0.24, -0.24, -0.26, -0.26, -0.24, -0.22, -0.21, -0.22, 
##     -0.22, -0.21, -0.21, -0.24, -0.24, -0.32, -0.37, -0.37, -0.37, 
##     -0.35, -0.37, -0.35, -0.24, -0.21, -0.18, -0.18, -0.19, -0.19, 
##     -0.21, -0.22, -0.16, -0.18, -0.16, -0.14, -0.14, -0.16, -0.16, 
##     -0.16, -0.14, -0.14, -0.14, -0.14, -0.14, -0.14, -0.18, -0.18, 
##     -0.19, -0.18, -0.22, -0.21, -0.22, -0.24, -0.24, -0.24, -0.26, 
##     -0.26, -0.29, -0.35, -0.39, -0.42, -0.45, -0.55, -0.58, -0.64, 
##     -0.67, -0.79, -0.93, -0.98, -1.04, -1.09, -1.17, -1.2, -1.24, 
##     -1.43, -1.54, -1.64, -1.77, -1.93, -2.02, -2.09, -2.23, -2.25, 
##     -2.26, -2.3, -2.34, -2.36, -2.23, -2.17, -2.12, -1.69, -1.57, 
##     -1.72, -1.85, -2.23, -2.14, -1.98, -0.1, 0.22, 0.77, 0.93, 
##     1.16, 1.43, 1.48, 1.59, 1.65, 1.67, 1.72, 1.77, 1.75, 1.91, 
##     2.06, 2.06, 2.1, 2.34, 1.83, 1.54, 1.54, 1.41, 1.01, 0.45, 
##     0.29, 0.21, -0.21, -0.47, -0.59, -0.71, -0.82, -0.9, -0.95, 
##     -1.27, -1.73, -1.83, -2.25, -2.34, -2.5, -2.49, -2.52, -2.55, 
##     -2.62, -2.68, -2.68, -2.7, -2.7, -2.76, -2.79, -2.71, -2.73, 
##     -2.41, -2.18, -1.88, -1.45, -0.93, 0.58, 1.38, 1.43, 1.46, 
##     1.45, 1.4, 1.33, 1.38, 1.4, 1.41, 1.4, 1.45, 1.49, 1.4, 1.67, 
##     1.89, 2.14, 2.09, 1.67, -2.67, -2.62, -2.42, -2.34, -2.34, 
##     -2.3, -2.26, -2.31, -2.41, -2.41, -2.31, -1.57, -1.19, -0.31, 
##     0.19, 0.88, 1.12, 1.48, 1.54, 1.75, 1.85, 1.93, 1.91, 1.86, 
##     1.88, 1.89, 1.85, 1.86, 1.83, 1.45, 1.46, 1.48, 1.59, 1.57, 
##     1.35, 1.16, 0.93, 0.83, 0.72, 0.63, 0.58, 0.53, 0.51, 0.48, 
##     0.37, 0.26, -0.18, -0.32, -0.43, -0.51, -0.61, -0.75, -1.19, 
##     -1.33, -1.41, -1.72, -1.85, -1.93, -1.99, -2.09, -2.17, -2.23, 
##     -2.28, -2.7, -2.75, -2.73, -2.71, -2.75, -2.73, -2.75, -2.7, 
##     -2.71, -2.75, -2.75, -2.7, -2.59, -2.57, -2.46, -2.34, -2.18, 
##     -2.01, -1.75, -1.45, -0.63, -0.18, 0.98, 1.51, 1.7, 1.94, 
##     1.98, 2.01, 2.01, 1.83, 1.64, 1.57, 1.43, 1.45, 1.41, 1.3, 
##     1.36, 1.3, 1.4, 1.33, 1.22, 0.74, 0.64, 0.58, 0.5, 0.39, 
##     0.29, 0.18, -0.24, -0.35, -0.47, -0.59, -0.95, -1.19, -1.88, 
##     -1.99, -2.23, -2.36, -2.46, -2.52, -2.6, -2.68, -2.75, -2.81, 
##     1.56, 1.56, 1.59, 1.69, 1.67, 1.53, 1.51, 1.64, 1.38, 1.46, 
##     1.41, 1.19, 1.14, -0.24, -0.4, -0.51, -0.61, -0.98, -1.32, 
##     -1.54, -1.72, -1.85, -1.94, -2.07, -2.39, -2.59, -2.71, -2.79, 
##     -2.83, -2.81, -2.73, -2.68, -2.47, -2.65, -2.49, -2.22, -1.93, 
##     -1.53, 0.82, 1.28, 1.46, 1.56, 1.65, 1.75, 1.83, 1.83, 1.88, 
##     1.89, 1.93, 1.99, 2.01, 1.96, 2.09, 2.18, 2.04, 1.89, 1.85, 
##     1.7, 1.56, 1.33, 1.17, 1.08, 0.87, 0.58, 0.37, 0.22, -0.4, 
##     -0.74, -0.9, -1.03, -1.17, -1.28, -1.53, -1.7, -1.99, -2.23, 
##     -2.95, -3.03, -3.02, -3.02, -2.99, -2.91, -2.79, -2.6, -2.26, 
##     -2.1, 0.55, 0.93, 1.2, 1.81, 1.88, 2.09, -0.74, -0.98, -1.12, 
##     -1.45, -2.38, -2.52, -2.83, -2.83, -2.89, -2.94, -2.92, -2.92, 
##     -2.81, -2.75, -2.63, -2.57, -2.52, -2.62, -2.57, -2.6, -2.6, 
##     -2.38, -2.14, -1.78, -0.42, 0.08, 0.8, 1, 1.35, 0.31, 0.05, 
##     -0.08, -0.35, -0.48, -0.83, -1.17, -1.32, -1.41, -1.49, -2.02, 
##     -2.12, -2.3, -2.5, -2.55, -2.59, -2.57, -2.52, -2.54, -2.73, 
##     -2.86, -1.33, 1.64, 1.73, 1.85, 2.02, 2.1, 2.18, 2.25, 2.28, 
##     -2.71, -2.84, -2.81, -2.83, -2.91, -2.84, -3.02, -2.97, -3, 
##     -3.02, -2.55, -1.65, -0.55, 0.1, 0.61, 1.33, 1.54, 1.89, 
##     2.04, 2.09, 2.25, 2.1, 1.89, 1.88, 1.54, 1.38, 1.41, 1.28, 
##     1.27, 1.33, 1.43, 1.51, 1.57, 1.51, 1.43, 1.4, 0.4, 0.45, 
##     0.61, 0.61, 0.61, 0.64, 0.82, 0.98, 1.25, 1.4, 1.49, 1.49, 
##     1.53, 1.53, 1.51, 1.45, 1.28, 1.19, 1.09, 1, 0.85, 0.79, 
##     0.72, 0.61, 0.63, 0.64, 0.61, 0.58, 0.53, 0.51, 0.48, 0.42, 
##     0.37, 0.34, 0.29, 0.24, 0.24, 0.21, 0.14, 0.13, 0.13, 0.11, 
##     0.13, 0.21, 0.14, 0.1, 0.11, 0.1, 0.1, 0.13, 0.11, 0.11, 
##     0.13, 0.14, 0.13, 0.11, 0.11, 0.13, 0.16, 0.26, 0.31, 0.37, 
##     0.39, 0.43, 0.48, 0.51, 0.48, 0.47, 0.47, 0.47, 0.45, 0.4, 
##     0.43, 0.43, 0.43, 0.43, 0.45, 0.47, 0.48, 0.5, 0.55, 0.55, 
##     0.69, 0.92, 0.95, 0.61, 0.48, 0.21, 0.22, 0.22, 0.19, 0.18, 
##     0.16, 0.14, 0.18, 0.19, 0.22, 0.22, 0.24, 0.22, 0.26, 0.26, 
##     0.26, 0.26, 0.27, 0.31, 0.29, 0.27, 0.27, 0.26, 0.29, 0.31, 
##     0.34, 0.32, 0.32, 0.31, 0.31, 0.31, 0.31, 0.32, 0.29, 0.29, 
##     0.29, 0.24, 0.26, 0.27, 0.27, 0.27, 0.27, 0.24, 0.24, 0.24, 
##     0.27, 0.27, 0.27, 0.29, 0.29, 0.27, 0.27, 0.26, 0.24, 0.24, 
##     0.26, 0.24, 0.24, 0.24, 0.26, 0.26, 0.24, 0.24, 0.24, 0.24, 
##     0.26, 0.26, 0.26, 0.27, 0.32, 0.32, 0.32, 0.26, 0.24, 0.24, 
##     0.27, 0.27, 0.31, 0.32, 0.32, 0.32, 0.31, 0.31, 0.29, 0.29, 
##     0.31, 0.31, 0.27, 0.27, 0.26, 0.19, 0.22, 0.22, 0.21, 0.18, 
##     0.16, 0.16, 0.19, 0.21, 0.22, 0.22, 0.21, 0.21, 0.21, 0.22, 
##     0.16, 0.16, 0.19, 0.21, 0.22, 0.22, 0.24, 0.26, 0.29, 0.27, 
##     0.29, 0.29, 0.29, 0.31, 0.29, 0.27, 0.1, 0.05, 0.02, 0.02, 
##     -0.02, -0.16, -1.25, -1.54, -1.73, -1.93, -2.02, -2.12, -2.39, 
##     -2.39, -2.31, -2.18, -2.15, -2.17, -1.93, -1.99, -1.99, -2.31, 
##     -2.22, -1.96, 0.26, 0.26, 0.29, 0.34, 0.35, 0.34, 0.26, 0.19, 
##     0.19, 0.21, 0.21, 0.21, 0.22, 0.21, 0.21, 0.21, 0.22, 0.22, 
##     0.24, 0.24, 0.27, 0.27, 0.26, 0.26, 0.26, 0.27, 0.27, 0.27, 
##     0.24, 0.16, 0.11, 0.03, -0.02, -0.02, 0.02, 0.05, 0.13, 0.16, 
##     0.14, 0.18, 0.19, 0.22, 0.22, 0.22, -0.11, -0.11, -0.11, 
##     -0.1, -0.08, -0.08, -0.06, -0.05, 0, 0.02, 0.03, 0.06, 0.08, 
##     0.1, 0.11, 0.13, 0.19, 0.24, 0.21, 0.19, 0.19, 0.21, 0.26, 
##     0.26, 0.26, 0.26, 0.27, 0.26, 0.26, 0.27, 0.27, 0.29, 0.29, 
##     0.29, 0.29, 0.29, 0.29, 0.29, 0.31, 0.31, 0.31, 0.29, 0.22, 
##     0.22, 0.26, 0.27, 0.29, 0.29, 0.29, 0.27, 0.26, 0.27, 0.26, 
##     0.26, 0.26, 0.24, 0.26, 0.26, 0.27, 0.31, 0.31, 0.31, 0.31, 
##     0.26, 0.27, 0.26, 0.24, 0.21, 0.21, 0.21, 0.22, 0.22, 0.24, 
##     0.19, 0.19, 0.21, 0.19, 0.19, 0.19, 0.26, 0.26, 0.26, 0.29, 
##     0.29, 0.22, 0.24, 0.31, 0.26, 0.29, 0.37, 0.37, 0.34, 0.35, 
##     0.32, 0.11, 0.21, 0.43, 0.35, 0.24, 0.16, 0.19, 0.37, 0.35, 
##     0.31, 0.34, 0.37, 0.37, 0.26, 0.22, 0.19, 0.22, 0.24, 0.21, 
##     0.24, 0.37, 0.37, 0.31, 0.26, 0.26, 0.29, 0.26, 0.24, 0.27, 
##     0.27, 0.26, 0.26, 0.24, 0.26, 0.27, 0.26, 0.32, 0.26, 0.26, 
##     0.27, 0.29, 0.26, 0.21, 0.21, 0.22, 0.26, 0.26, 0.24, 0.24, 
##     0.21, 0.21, 0.22, 0.22, 0.24, 0.22, 0.22, 0.22, 0.24, 0.26, 
##     0.24, 0.24, 0.19, 0.27, 0.29, 0.26, 0.27, 0.24, 0.24, 0.24, 
##     0.21, 0.21, 0.21, 0.21, 0.02, -0.05, 0.05, 0.1, 0.14, 0.42, 
##     0.45, 0.47, 0.39, 0.35, 0.35, 0.34, 0.32, 0.31, 0.26, 0.24, 
##     0.26, 0.24, 0.24, 0.22, 0.22, 0.24, 0.24, 0.24, 0.22, 0.19, 
##     0.19, 0.19, 0.24, 0.22, 0.21, 0.21, 0.21, 0.22, 0.24, 0.26, 
##     0.26, 0.24, 0.19, 0.22, 0.29, 0.29, 0.29, 0.26, 0.24, 0.21, 
##     0.24, 0.29, 0.31, 0.45, 0.5, 0.34, 0.22, 0.22, 0.24, 0.24, 
##     0.21, 0.19, 0.13, 0.13, 0.21, 0.26, 0.31, 0.34, 0.39, 0.5, 
##     -2.62, -2.52, -2.47, -2.38, -2.36, -2.17, -2.12, -2.09, -1.93, 
##     -1.69, -1.64, -1.53, -1.36, -1.22, -0.87, -0.77, -0.59, -0.45, 
##     -0.35, -0.22, -0.08, 0.03, 0.35, 0.61, 0.67, 0.74, 1.14, 
##     1.4, 1.65, 2.39, 2.46, 2.46, 2.47, 2.44, 2.38, 2.3, 2.3, 
##     2.26, 2.25, 2.07, 2.14, 2.07, 1.91, 1.81, 1.73, 1.62, 1.57, 
##     1.57, 1.51, 1.45, 1.38, 1.38, 1.38, 1.06, 0.96, 0.64, 0.58, 
##     0.53, 0.45, 0.39, 0.37, 0.37, 0.37, 0.34, 0.37, 0.4, 0.37, 
##     0.31, 0.32, 0.24, 0.22, -0.35, -0.55, -0.79, 0.24, 0.31, 
##     0.45, 0.58, 0.63, 0.87, 0.98, 1.36, 1.59, 1.73, 2.04, 2.12, 
##     2.26, 2.34, 2.36, 2.47, 2.31, 2.34, 2.23, 2.14, 2.12, 2.1, 
##     2.06, 1.91, 1.91, 1.65, 1.56, 1.56, 1.49, 1.43, 1.36, 1.27, 
##     1.12, 1.09, 1.04, 0.95, 0.58, 0.53, 0.47, 0.47, 0.5, 0.45, 
##     0.43, 0.4, 0.48, 0.5, 0.45, 0.35, 0.29, 0.13, -0.18, -1.32, 
##     -1.57, -1.98, -2.07, -2.17, -2.23, -2.31, -2.33, -2.3, -2.22, 
##     -2.1, -2.02, -1.91, -1.75, -1.56, -1.36, -0.74, -0.63, -0.45, 
##     -0.37, -0.31, 0.02, 0.05, 0.06, 0.06, 0.05, 0.06, 0.06, 0.02, 
##     0, 0.02, 0.06, 0.13, 0.18, 0.22, 0.37, 0.66, 0.77, 1.01, 
##     1.33, 1.46, 1.59, 1.89, 1.99, 2.36, 2.42, 2.52, 2.57, 2.59, 
##     2.54, 2.54, 2.55, 2.52, 2.39, 2.31, 2.1, 1.73, 1.51, 1.51, 
##     1.53, 1.53, 1.51, 1.54, 1.49, 1.4, 0.95, 0.74, 0.71, 0.64, 
##     0.63, 0.55, 0.39, 0.39, 0.42, 0.39, 0.37, 0.37, 0.4, 0.4, 
##     0.42, 0.29, 0.03, 0.02, -0.05, -0.4, -1.28, -1.49, -1.69, 
##     -1.81, -1.94, -2.49, -2.78, -2.86, -2.86, -2.79, -2.36, -2.31, 
##     -1.86, -1.7, -1.54, -1.38, -1.19, -0.98, -0.77, -0.72, -0.66, 
##     -0.48, -0.37, -0.26, 0.11, 0.22, 0.34, 0.39, 0.42, 0.63, 
##     0.74, 0.8, 1.04, 1.11, 1.22, 1.48, 1.64, 1.73, 2.04, 2.26, 
##     2.34, 2.41, 2.41, 2.36, 2.36, 2.3, 2.15, 2.22, 2.18, 2.09, 
##     2.07, 1.75, 1.64, 1.69, 1.45, 1.45, 1.32, 1.35, 1.35, 1.24, 
##     0.96, 0.83, 0.79, 0.75, 0.53, 0.37, 0.32, 0.29, 0.21, 0.14, 
##     0.13, 0.1, -0.31, -1.01, -1.65, -1.73, -1.83, -2.09, -2.18, 
##     -2.46, -2.49, -2.42, -2.38, -2.23, -1.88, 2.54, 2.36, 2.26, 
##     2.06, 2.01, 1.43, 1.4, 1.41, 1.35, 1.3, 0.9, 0.8, 0.83, 0.79, 
##     0.72, 0.67, 0.58, 0.48, 0.47, 0.42, 0.39, 0.39, 0.4, 0.37, 
##     0.34, 0.35, 0.34, -0.05, -0.32, -0.93, -1.64, -1.89, -2.09, 
##     -2.2, -2.42, -2.52, -2.59, -2.71, -2.75, -2.68, -2.5, -2.33, 
##     -2.17, -1.43, -1.3, -1.22, -1.09, -1.08, -1.03, -0.98, -0.96, 
##     -0.88, -0.48, -0.45, -0.32, -0.18, -0.13, 0.02, 0.06, 0.13, 
##     0.19, 0.27, 0.29, 0.31, 0.26, 0.21, 0.26, 0.4, 0.75, 2.59, 
##     2.6, 2.78, 2.73, 2.71, 2.71, 2.62, 2.52, 2.38, 2.26, 2.33, 
##     2.26, 2.2, 2.12, 1.86, 1.8, 1.78, 1.69, 1.59, 1.51, -0.66, 
##     -0.56, -0.35, 0.02, 0.03, 0.05, 0.08, 0.11, 0.16, 0.16, 0.14, 
##     0.18, 0.19, 0.24, 0.27, 0.31, 0.34, 0.34, 0.35, 0.37, 0.4, 
##     0.43, 0.64, 0.75, 0.87, 1.01, 1.17, 1.33, 1.59, 1.85, 2.04, 
##     2.25, 2.33, 2.34, 0, 0.08, 0.21, 0.14, 0.22, 0.18, 0.03, 
##     0, -0.02, -0.06, -0.1, -0.11, -0.14, -0.13, -0.06, -0.02, 
##     0.02, 0, -0.03, -0.05, -0.05, -0.02, -0.02, -0.02, 0, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0, 0, -0.02, -0.02, 
##     0, -0.02, -0.02, 0, 0, 0, -0.02, -0.02, 0, 0, 0.02, 0.05, 
##     0.05, 0.03, 0.03, 0.03, 0.02, 0.03, 0.03, 0.05, 0.11, 0.08, 
##     0.03, 0, 0, 0, 0, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0, 0, 0, 0, -0.02, -0.03, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0, 0.02, 0.02, 
##     0, 0, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0, 0, 0.02, 
##     0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.03, -0.02, 0, 0, 
##     0, 0, 0, 0, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 0.03, 0.03, 
##     0.03, 0.03, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0, -0.02, 
##     -0.02, 0, 0.02, 0.18, 0.19, 0.21, 0.21, 0.05, 0.02, -0.02, 
##     -0.08, -0.08, -0.06, -0.06, -0.06, -0.02, 0.02, 0.03, 0.08, 
##     0.1, 0.1, 0.08, 0.06, 0.06, 0.06, 0.05, 0.05, 0.03, 0.05, 
##     0.03, 0.03, -0.03, -0.02, -0.03, -0.31, -0.61, -1.12, -1.78, 
##     -2.06, -2.34, -2.52, -2.68, -3.1, -3.16, -3.2, -3.21, -3.23, 
##     -3.32, -3.32, -3.31, -3.31, -3.36, -3.29, -3.21, -3.16, -3.07, 
##     -2.92, -2.75, -2.41, -1.99, -1.54, 1.77, 1.16, 0.79, 0.74, 
##     0.67, 0.63, 0.56, 0.4, 0.32, 0.14, 0.08, 0.02, -0.11, -0.13, 
##     -0.16, -0.26, -0.69, -0.8, -0.95, -1.59, -1.89, -2.1, -2.28, 
##     -2.54, -2.65, -2.78, -2.91, -3.07, -3.24, -3.24, -3.32, -3.44, 
##     -3.34, -3.34, -3.36, -3.07, -3.02, -2.41, -2.41, -2.38, -2.22, 
##     -1.91, -0.48, -0.08, 0.82, 1.12, 1.45, 1.65, 2.12, 2.33, 
##     2.55, 2.57, 2.68, 2.89, 2.83, 2.89, 2.92, 2.92, 0.35, 0.24, 
##     0.1, -0.02, -0.08, -0.1, -0.19, -0.29, -0.47, -0.63, -0.74, 
##     -0.9, -1.32, -1.46, -1.88, -2.42, -2.7, -2.86, -2.92, -2.94, 
##     -3.13, -3.13, -3.1, -3.03, -2.92, -2.79, -2.47, -2.2, -1.99, 
##     -1.65, -0.61, -0.13, 0.71, 0.53, 0.55, 1.98, 2.31, 2.46, 
##     2.62, 2.76, 3.1, 3.26, 3.21, 3.28, 3.23, 3.02, 3.03, -0.71, 
##     -0.27, 0.4, 1.35, 1.54, 2.06, 2.22, 2.36, 2.44, 2.89, 2.95, 
##     3.03, 3.2, 3.12, 3.15, 3.23, 2.92, 2.99, 2.73, 2.78, 2.65, 
##     2.31, 2.22, 2.1, 2.04, 1.72, 1.57, 1.22, 1.11, 0.98, 0.77, 
##     0.69, 0.31, 0.22, -0.02, -0.08, -0.16, -0.34, -0.45, -0.56, 
##     -0.67, -1.08, -1.2, -1.32, -1.61, -2.1, -2.44, -2.71, -2.76, 
##     -3.13, -3.18, -3.2, -3.23, -3.28, -3.36, -3.37, -3.39, -3.4, 
##     -3.36, -3.29, -3.29, -3.36, -3.13, -2.38, -0.13, 0.69, 1.3, 
##     1.78, 2.3, 2.7, 2.94, 3.02, 3.1, 3.16, 3, 2.89, 2.89, 2.97, 
##     2.62, 2.71, 2.22, 2.18, 2.31, 2.33, 2.26, 1.8, 1.72, 1.62, 
##     1.28, 1.12, 1, 0.85, 0.72, 0.64, 0.5, 0.32, 0.21, 0.1, 0.02, 
##     -0.03, -0.03, -0.05, -0.21, -0.29, -0.4, -0.58, -1.06, -1.93, 
##     -2.12, -2.3, -2.47, -2.87, -3.37, -3.76, -3.76, -3.85, -3.77, 
##     -3.69, -3.52, -3.42, -3.31, -3.21, -2.87, -2.62, -2.12, -1.98, 
##     -1.83, -1.54, -0.14, 0.24, 0.58, 0.88, 1.12, 1.28, 1.43, 
##     1.28, 1.17, 0.82, 0.61, 0.56, 0.5, 0.32, 0.13, 0.13, 0.16, 
##     0.1, 0.06, 0.03, -0.05, -0.11, -0.14, -0.19, -0.4, -0.61, 
##     -0.75, -1, -1.17, -1.33, -1.61, -1.75, -2.23, -2.46, -2.73, 
##     -2.99, -3.2, -3.44, -3.52, -3.5, -3.5, -3.48, -3.45, -3.36, 
##     -3.28, -3.23, -2.75, 0.11, 0.92, 1.17, 1.35, 1.93, 2.6, 2.95, 
##     3.05, 3.24, 3.15, 3.26, 3.31, 3.23, 2.99, 2.92, 2.6, 2.62, 
##     2.57, 2.39, 2.3, 2.3, 2.15, 2.07, 2.01, 1.94, 1.8, 1.24, 
##     1.08, 0.96, 0.83, 0.61, 0.39, 0.16, -0.08, -0.32, -0.43, 
##     -0.77, -0.9, -1.06, -1.41, -1.59, -2.01, -2.2, -2.41, -2.63, 
##     -3, -3.37, -3.47, -3.44, -3.53, -3.64, -3.53, -3.34, -3.18, 
##     -3.12, -3.08, -3.07, -2.67, -2.36, -1.8, -0.27, 1.67, 2.18, 
##     2.38, 2.52, 2.91, 3.05, 3.12, 3.15, 3.18, 3.02, 2.95, 2.86, 
##     2.92, 2.84, 2.62, 2.54, 2.23, 2.18, 1.41, 1.22, 0.4, 0.29, 
##     0.18, -0.63, -2.07, -2.18, -2.38, -2.42, -2.5, -2.59, -2.65, 
##     -2.7, -2.86, -3.03, -2.95, -3, -2.94, -2.91, -2.89, -2.89, 
##     -2.83, -2.87, -2.95, -2.87, -2.99, -2.99, -2.95, -2.55, -0.85, 
##     0.61, 1.17, 1.62, 2.01, 2.57, 2.94, 0.06, 0.08, 0.08, 0.1, 
##     0.06, 0.06, 0.02, -0.08, -0.11, -0.13, -0.1, -0.05, -0.08, 
##     0.02, 0.06, 0.1, 0.11, 0.1, 0.1, 0.03, 0, 0.02, 0.02, 0.02, 
##     0, -0.02, -0.03, -0.03, -0.02, 0.02, 0.02, 0, 0, 0, 0.11, 
##     0.08, 0, -0.05, 0.16, 0.13, -0.05, -0.05, 0.13, 0.21, 0.13, 
##     0.08, 0.05, 0.02, -0.1, 0.03, 0.05, 0.02, -0.13, -0.14, -0.03, 
##     0.06, 0, 0, 0.16, 0.18, 0.16, 0.1, 0.05, 0, -0.02, -0.03, 
##     -0.05, -0.06, -0.03, -0.02, -0.05, -0.08, -0.13, -0.11, -0.1, 
##     -0.11, -0.11, 0.02, 0.03, 0.05, 0.08, 0.06, 0.03, -0.03, 
##     -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.02, 0, 0.02, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
##     0.03, 0.03, 0.03, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0, -0.02, -0.02, -0.02, 0, 0, 0.02, 0, 0.02, 0.02, 
##     0.03, 0.03, 0.02, 0.02, 0.02, 0.03, 0.02, 0, -0.02, -0.02, 
##     0.02, 0.02, 0, -0.02, -0.02, 0, 0.02, 0, 0.02, 0, 0, 0.02, 
##     0, -0.03, -0.02, 0, 0, 0, 0.03, 0.03, 0.03, 0.03, 0.02, 0, 
##     0.02, 0.02, 0, 0, 0, -0.03, -0.03, -0.05, -0.06, -0.05, -0.02, 
##     0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.05, 0.03, 
##     0.05, 0.05, 0.03, 0.03, 0.03, 0, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0.02, 0, 0.02, 
##     0.03, 0.03, 0.02, 0, 0, 0, 0, 0.02, 0.03, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0.02, 0, -0.02, 0, 0, 0.02, 0.02, 0.02, -0.02, 
##     0.02, 0.02, 0.02, 0, 0, 0.02, 0.03, 0.05, 0.02, 0.02, 0, 
##     0, -0.02, 0, -0.02, 0, -0.02, 0.02, -0.02, 0, 0, -0.02, -0.03, 
##     0.02, 0.02, 0.02, 0, 0.02, 0.02, -0.02, -0.03, -0.03, -0.02, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.05, 
##     0, -0.02, 0, 0, 0.06, 0.11, 0.08, 0.06, 0.06, 0.16, 0.29, 
##     0.19, 0.16, 0.11, 0.06, 0, 0.21, 0.13, 0.03, 0.11, 0.11, 
##     0.03, -0.08, -0.06, -0.02, 0.03, 0.03, -0.03, -0.02, 0, -0.03, 
##     -0.13, -0.21, -0.11, -0.03, 0.03, 0.08, 0.02, -0.02, 0.02, 
##     0.11, 0.1, 0.06, -0.03, -0.11, -0.06, -0.1, -0.1, -0.05, 
##     -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.03, 0.06, 0.08, 0.02, 
##     -0.02, -0.02, 0, 0.03, 0.03, 0.02, 0, 0.02, 0, -0.02, 0.05, 
##     0.05, 0.03, -0.02, 0, -0.02, -0.02, -0.02, 0, 0.02, 0, 0, 
##     0.02, 0.02, 0.03, 0.05, 0.05, 0.05, 0.05, 0.06, 0.03, 0.03, 
##     0.03, 0.02, 0, -0.02, -0.02, 0, 0.02, 0.02, 0, 0, 0.02, 0, 
##     0, -0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, -0.02, 
##     0, 0, -0.02, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
##     0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.02, 
##     0, 0, 0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0.03, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0, 0, 0, 0, 0.03, 0.03, 0.03, 0.03, 0.02, 
##     0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0, -0.02, -0.03, -0.02, 
##     -0.02, -0.03, -0.03, -0.05, -0.02, 0, -0.02, 0, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0.02, 
##     0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0, 0, -0.02, -0.02, 0, 
##     0, 0.02, 0.02, 0.03, 0.03, 0, 0.02, 0.05, 0.05, 0.05, 0, 
##     -0.02, -0.05, -0.05, -0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 
##     0, 0, 0, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, 0, 0.02, 
##     0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 
##     0.02, 0.02, 0, 0, 0, -0.03, -0.02, -0.02, -0.02, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0.03, 
##     0.02, 0, -0.02, -0.02, -0.06, -0.06, -0.08, -0.08, -0.06, 
##     -0.08, -0.08, -0.08, -0.11, -0.47, -0.58, -0.8, -0.85, -1.03, 
##     -1.06, -1.14, -1.38, -1.45, -1.51, -1.59, -1.7, -1.83, -2.06, 
##     -2.09, -2.09, -2.15, -2.15, -2.14, -2.14, -2.14, -2.15, -2.17, 
##     -2.14, -2.04, -2.01, -1.96, -1.8, -1.7, -1.61, -1.43, -1.43, 
##     -1.35, -1.32, -1.17, -1.06, -0.71, -0.45, 0.34, 0.48, 0.58, 
##     0.74, 0.77, 0.79, 1, 1.06, 1.22, 1.4, 1.48, 1.57, 1.56, 1.59, 
##     1.7, 1.73, 1.81, 1.89, 2.1, 2.2, 2.17, 1.93, 1.83, 1.91, 
##     1.91, 1.89, 1.54, 1.43, 1.32, 1.09, 1.04, 1, 0.95, 0.93, 
##     0.82, 0.77, 0.51, 0.47, 0.27, 0.18, -0.02, -0.13, -0.42, 
##     -1.01, -1.17, -1.57, -1.73, -1.91, -1.99, -2.02, -2.14, -2.25, 
##     -2.38, -2.47, -2.49, -2.46, -2.44, -2.36, -2.34, -2.42, -2.46, 
##     -2.44, -2.42, -2.36, -2.25, -2.1, -1.85, -1.7, -1.46, -1.4, 
##     -1.36, -1.28, -1.19, -1.06, -0.85, -0.24, 0.45, 1.12, 1.53, 
##     1.53, 1.38, 1.36, 1.4, 1.43, 1.67, 1.75, 1.96, 1.98, 2.01, 
##     1.98, 1.93, 1.88, -2.57, -2.52, -2.42, -2.09, -1.67, -0.74, 
##     -0.39, 0.22, 0.63, 0.79, 0.92, 1.33, 1.57, 2.04, 2.09, 2.26, 
##     2.3, 2.36, 2.33, 2.38, 2.38, 2.39, 2.44, 2.41, 2.46, 2.44, 
##     2.42, 2.18, 2.2, 2.17, 1.59, 1.38, 1.08, 0.93, 0.79, 0.4, 
##     0.24, 0.06, -0.14, -0.64, -1.17, -1.38, -1.51, -1.65, -1.78, 
##     -1.93, -2.25, -2.34, -2.41, -2.47, -2.68, -2.65, -2.55, -2.49, 
##     -2.46, -2.42, -2.39, -2.33, -2.28, -2.28, -2.28, -2.12, -1.89, 
##     -1.24, -0.8, -0.39, -0.02, 0.77, 0.9, 1.09, 1.28, 1.51, 1.64, 
##     1.64, 1.67, 1.72, 1.78, 1.81, 1.91, 1.99, 1.99, 2.09, 2.12, 
##     2.09, 2.23, 2.06, 2.04, 2.02, 1.86, 1.81, 1.8, 1.73, 1.73, 
##     1.81, 1.93, 1.86, 1.81, 1.73, 1.67, 1.61, 1.49, 0.77, 0.31, 
##     -0.02, -0.31, -1.36, -1.88, -2.54, -2.87, -3, -3.12, -3.13, 
##     -3.13, -3.13, -3.1, -2.99, -2.89, -2.68, -2.49, -2.38, -2.38, 
##     -2.33, -2.23, -2.36, -2.42, -2.06, -1.64, -1.17, -0.59, 0.35, 
##     1.2, 1.61, 1.98, 2.07, 2.28, 2.67, 2.71, 2.73, 2.68, 2.59, 
##     2.65, 2.6, 2.49, 2.5, 2.46, 2.46, 2.12, 2.07, 2.17, 2.25, 
##     2.23, 1.96, 1.73, 1.59, 1.48, 1.4, 1.03, 1.01, 0.35, 0.16, 
##     0, -0.4, -0.67, -0.95, -1.41, -2.2, -2.54, -2.73, -2.81, 
##     -2.89, -2.99, -2.86, -2.79, -2.73, -2.52, -2.49, -2.49, -2.47, 
##     -2.44, -2.26, -1.72, -1.65, -1.77, -1.46, -1.17, -0.75, 1.04, 
##     1.45, 1.61, 0.03, 0.05, 0.06, 0.08, 0.1, 0.1, 0.06, 0.03, 
##     0.03, 0.02, -0.02, 0, 0, 0.02, 0.03, 0.03, 0, -0.02, 0, 0.02, 
##     0.02, 0.02, 0, 0, -0.21, -0.13, 0.02, 0.02, 0.05, 0.06, 0.06, 
##     0.05, 0.02, -0.02, -0.02, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.05, -0.03, 0, 0, 0, 0.02, 0.02, 0, 0, 0, -0.02, 
##     -0.02, -0.02, -0.03, 0, 0, -0.02, 0.02, 0.02, 0, 0, -0.02, 
##     0, -0.05, -0.05, 0, 0.05, 0.06, 0, -0.03, -0.03, -0.03, -0.02, 
##     0.02, 0.08, 0.03, -0.02, -0.02, -0.02, 0.03, 0.1, 0.08, 0.02, 
##     -0.03, -0.05, -0.03, 0.05, 0, -0.05, -0.06, -0.06, 0.05, 
##     -0.02, -0.03, -0.02, -0.03, -0.03, 0, 0.08, 0, -0.06, 0.1, 
##     0.1, -0.05, -0.05, -0.05, -0.05, -0.05, -0.02, 0.1, 0.08, 
##     0.05, -0.02, -0.05, -0.05, -0.03, 0.02, 0.08, -0.03, -0.03, 
##     -0.02, 0.05, 0.03, 0, -0.03, -0.02, -0.02, -0.02, 0.02, 0.02, 
##     0, 0, 0, 0.02, 0.02, 0, 0.02, 0.02, 0, 0.02, 0, 0, 0.02, 
##     0.03, 0, 0.02, 0.02, 0, 0.03, 0, 0, 0, 0, 0.02, 0, 0.02, 
##     0.02, 0.02, 0.03, 0.03, 0.02, 0, 0, -0.02, -0.02, -0.02, 
##     -0.03, -0.02, -0.02, -0.02, 0, -0.02, 0, 0, -0.02, 0, -0.02, 
##     -0.03, 0.08, 0.1, 0.06, 0.03, -0.02, -0.02, 0.02, 0.03, 0.03, 
##     0.03, 0.03, 0, -0.02, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, 0.02, 
##     0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 
##     0.02, -0.06, 0.02, 0.02, 0, 0.02, 0.03, -0.03, -0.05, -0.05, 
##     -0.05, -0.06, -0.02, 0, 0.05, 0.08, 0.08, 0.08, 0.05, 0.02, 
##     0, 0, 0.05, 0, -0.05, -0.05, -0.03, 0.02, 0.02, -0.02, 0.08, 
##     0.1, 0.08, 0.06, 0.02, 0.02, 0, -0.03, -0.1, -0.1, -0.1, 
##     -0.11, -0.14, -0.16, -0.18, -0.14, -0.02, 0, 0, -0.02, -0.02, 
##     0, 0.02, 0.02, 0, -0.02, -0.02, -0.02, -0.02, 0.02, 0.05, 
##     0.05, 0.06, 0.05, 0.05, 0.03, 0.03, 0.03, 0.02, 0.02, -0.05, 
##     0.03, 0.08, 0.08, 0.06, 0.05, 0.02, 0.06, -0.02, 0.08, 0.05, 
##     0.06, 0.08, 0.13, 0.14, 0.14, -0.02, -0.06, -0.08, -0.08, 
##     -0.05, -0.03, -0.02, -0.02, -0.02, -0.02, 0.02, 0.05, 0.05, 
##     0.06, 0.06, 0.06, 0.05, 0.03, 0.02, 0.02, 0, 0, 0, 0.03, 
##     0.03, 0.03, 0.02, -0.02, 0, 0.03, 0.08, 0.1, 0.21, 0.32, 
##     0.35, 0.03, -0.1, 0, 0.02, 0, 0.02, 0.03, 0.02, 0.02, 0.02, 
##     0.05, 0.06, 0.05, 0.05, 0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, -0.02, 0, -0.02, -0.02, -0.02, 0, 0.03, 0.02, 0, 0, 
##     0, 0, 0.02, 0.02, 0.02, 0.05, 0.05, 0.05, 0.05, 0.05, 0, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 0.02, 
##     0.02, 0, 0, -0.02, 0, 0.02, 0, 0, -0.03, -0.02, -0.02, -0.03, 
##     0.03, 0.02, -0.03, -0.18, -0.47, -0.64, -1.61, -2.01, -2.1, 
##     -2.34, -3.02, -3.08, -3, -2.89, -2.83, -2.71, -2.73, -2.81, 
##     -2.44, -1.56, -1.43, -1.06, -0.93, -0.88, -0.96, -1.01, -1, 
##     -0.93, -0.58, -0.02, 0.77, 1.09, 1.3, 1.49, 1.59, 1.72, 1.91, 
##     2.23, 2.25, 2.75, 2.89, 2.6, 2.02, 2.47, 1.8, 1.8, 1.77, 
##     1.48, 1.35, 1.2, 1.2, 0.08, -0.1, -0.32, -0.77, -0.92, -1.12, 
##     -1.99, -2.18, -2.33, -2.5, -2.59, -2.78, -2.92, -2.89, -2.94, 
##     -2.91, -2.94, -2.71, -2.63, -2.57, -2.5, -2.2, -2.1, -2.07, 
##     -1.96, -1.8, -1.69, -1.56, -0.4, -0.08, 0.88, 1.3, 1.75, 
##     1.8, 2.06, 2.26, 2.33, 2.34, 2.63, 2.57, 2.86, 3.32, 2.6, 
##     2.65, 3.18, 2.67, 2.73, 2.84, 2.59, 2.04, 2.28, 2.44, 2.36, 
##     1.85, 1.64, 1.25, 1.12, 0.75, 0.32, 0.08, -1.27, -1.54, -2.55, 
##     -2.76, -2.83, -3.02, -3, -2.78, -2.68, -2.68, -2.59, -2.46, 
##     -2.42, -2.17, -2.23, -2.28, -2.12, -1.91, -0.59, 0.92, 1.16, 
##     1.24, 1.32, 1.43, 1.86, 2.15, 2.34, 2.75, 3, 2.89, 2.79, 
##     2.94, 2.89, 3.12, 2.42, 2.12, 2.2, 2.25, 2.09, 1.24, 0.96, 
##     0.02, -0.14, -0.31, -0.48, -0.72, -1.01, -1.25, -2.06, -2.44, 
##     -2.89, -2.99, -3.15, -3.23, -3.34, -3.32, -3.18, -3.18, -2.91, 
##     -2.84, -2.84, -2.7, -2.18, -2.09, -1.89, -1.86, -1.75, -0.93, 
##     0.22, 0.58, 0.83, 1.03, 1.8, 1.99, 2.25, 2.44, 2.54, 2.84, 
##     3.12, 3.08, 3.12, 2.62, 2.65, 2.87, 2.71, 2.92, 2.5, 2.2, 
##     1.89, 1.73, 1.59, 1.32, 1.24, 1, 0.61, 0.29, 0.1, -0.05, 
##     -0.59, -1.17, -1.38, -2.01, -2.31, -2.57, -2.73, -2.83, -2.92, 
##     -3.02, -3.08, -3.2, -3.26, -3.32, -3.1, -3, -2.83, -2.55, 
##     -2.23, -2.42, -2.44, -2.33, -0.29, 0.18, 1.2, 1.38, 1.96, 
##     2.17, 2.65, 2.71, 2.99, 2.79, 2.59, 2.97, 2.67, 2.7, 2.04, 
##     1.96, 1.17, 0.96, 0.72, 0.53, 0.03, -0.67, -0.87, -1, -1.96, 
##     -2.09, -2.17, -2.25, -2.54, -2.63, -2.87, -2.89, -2.94, -2.94, 
##     -2.86, -2.52, -2.46, -2.42, -2.36, -2.25, -2.18, -2.17, -1.53, 
##     -0.83, -0.53, -0.16, 0.26, 1.19, 1.77, 1.72, 2.28, 2.3, 2.12, 
##     2.55, 2.6, 2.5, 3.07, 3.13, 2.67, 2.39, 2.67, 3.16, 3.02, 
##     2.33, 2.06, 1.94, 1.4, 1.17, 0.75, 0.48, 0.35, -0.05, -0.69, 
##     -1.01, -1.17, -1.43, -1.73, -2.01, -2.78, -2.91, -2.97, -3.02, 
##     -3, -3, -2.97, -2.92, -2.34, -2.41, -2.17, -1.67, -1.43, 
##     -0.47, -0.18, 0.75, 1.25, 1.33, 1.43, 1.61, 1.81, 1.78, 1.88, 
##     2.23, 2.46, 2.39, 2.31, 2.76, 2.73, 2.23, 2.42, 2.07, 2.2, 
##     2.02, 2.23, 2.04, 1.19, 0.61, 0.16, -0.16, -0.24, -0.35, 
##     -0.45, -1.22, -1.41, -2.01, -2.57, -2.7, -2.87, -3.05, -2.75, 
##     -2.52, -2.28, -2.14, -2.09, -1.8, -1.75, -0.88, -0.55, -0.26, 
##     -0.8, -0.79, -0.71, -0.03, -0.06, -0.06, -0.05, -0.06, -0.03, 
##     -0.03, -0.03, -0.03, -0.02, 0.02, 0.03, 0.06, 0.05, 0.03, 
##     0.03, 0.05, 0.03, 0.03, 0.05, 0.05, 0.03, 0.03, 0.03, 0, 
##     -0.03, -0.05, -0.14, -0.16, -0.14, -0.22, -0.14, 0, 0.02, 
##     -0.18, -0.14, -0.11, -0.02, 0.03, -0.05, 0.08, 0.11, 0.1, 
##     0.11, 0.14, 0.1, 0.03, 0.03, 0.05, 0.05, -0.02, -1.35, -1.46, 
##     -1.57, -2.18, -2.33, -2.36, -2.07, -1.94, -1.8, -1.72, -1.62, 
##     -1.57, -1.46, -1.03, -0.82, 1.57, 1.53, 1.49, 1.49, 1.51, 
##     0.88, 0.82, 0.83, 0.82, 0.74, 0.63, 0.59, 0.56, 0.55, 0.45, 
##     0.4, 0.31, 0.22, -0.11, -0.27, -0.71, -0.88, -1.19, -1.56, 
##     -1.38, -0.66, -0.31, -0.22, -0.18, 0, 0.05, 0.14, 0.16, 0.19, 
##     0.21, 0.26, 0.45, 0.59, 0.8, 1.25, 1.81, 2.2, 2.59, -2.25, 
##     -2.6, -2.73, -2.83, -2.94, -2.94, -2.81, -2.68, -2.41, -2.34, 
##     -2.23, -1.89, -1.75, -1.48, -1.25, -0.8, -0.74, -0.55, -0.43, 
##     -0.32, 0.14, 0.37, 0.27, 0.19, 0.11, 0.05, 0, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.13, -0.22, -1.43, -1.64, -2.17, 
##     -2.68, -2.76, -2.86, -2.87, 0.31, 0.34, 0.45, 0.4, 0.42, 
##     0.4, 0.37, 0.21, 0.18, 0.16, 0.14, 0.13, 0.13, 0.21, 0.21, 
##     0.19, 0.26, 0.29, 0.43, 0.67, 0.63, 0.37, 0.35, 0.32, 0.29, 
##     0.26, 0.22, 0.19, 0.18, 0.19, 0.19, 0.18, 0.21, 0.21, 0.24, 
##     0.21, 0.19, 0.21, 0.24, 0.31, 0.34, 0.34, 0.32, 0.29, 0.27, 
##     0.29, 0.55, 0.64, 0.71, 0.66, 0.58, 0.51, 0.42, 0.35, 0.4, 
##     0.5, 0.66, 0.66, 0.34, 0.31, 0.29, 0.26, 0.22, 0.22, 0.24, 
##     0.24, 0.26, 0.27, 0.27, 0.24, 0.24, 0.22, 0.18, 0.19, 0.21, 
##     0.24, 0.27, 0.29, 0.32, 0.4, 0.43, 0.48, 0.51, 0.27, 0.42, 
##     0.37, 0.21, 0.06, 0.37, 0.26, 0.22, 0.1, 0.08, 0.1, 0.31, 
##     0.32, 0.32, 0.31, 0.27, 0.26, 0.26, 0.24, 0.24, 0.26, 0.27, 
##     0.26, 0.27, 0.27, 0.27, 0.27, 0.27, 0.26, 0.26, 0.27, 0.27, 
##     0.29, 0.27, 0.27, 0.27, 0.26, 0.26, 0.26, 0.27, 0.26, 0.27, 
##     0.27, 0.27, 0.26, 0.26, 0.26, 0.27, 0.27, 0.27, 0.27, 0.27, 
##     0.26, 0.27, 0.26, 0.26, 0.26, 0.26, 0.26, 0.27, 0.27, 0.26, 
##     0.26, 0.26, 0.27, 0.27, 0.26, 0.26, 0.24, 0.24, 0.24, 0.24, 
##     0.24, 0.24, 0.24, 0.24, 0.24, 0.26, 0.27, 0.29, 0.29, 0.31, 
##     0.29, 0.29, 0.27, 0.27, 0.27, 0.27, 0.27, 0.27, 0.27, 0.26, 
##     0.27, 0.27, 0.26, 0.26, 0.26, 0.26, 0.29, 0.31, 0.31, 0.27, 
##     0.26, 0.27, 0.26, 0.24, 0.24, 0.24, 0.24, 0.26, 0.26, 0.26, 
##     0.27, 0.26, 0.27, 0.27, 0.29, 0.32, 0.32, 0.29, 0.24, 0.22, 
##     0.24, 0.27, 0.29, 0.29, 0.27, 0.24, 0.22, 0.22, 0.21, 0.19, 
##     0.19, 0.18, 0.18, 0.18, 0.18, 0.16, 0.13, 0.13, 0.14, 0.18, 
##     0.19, 0.29, 0.27, 0.22, 0.22, 0.22, 0.22, 0.27, 0.26, 0.24, 
##     0.26, 0.27, 0.27, 0.31, 0.32, 0.32, 0.32, 0.32, 0.32, 0.32, 
##     0.32, 0.31, 0.29, 0.29, 0.29, 0.29, 0.29, 0.27, 0.26, 0.26, 
##     0.24, 0.22, 0.21, 0.16, 0.11, 0.11, 0.13, 0.14, 0.24, 0.24, 
##     0.24, 0.26, 0.27, 0.26, 0.29, 0.29, 0.29, 0.31, 0.34, 0.35, 
##     0.31, 0.29, 0.29, 0.29, 0.32, 0.34, 0.39, 0.39, 0.31, 0.26, 
##     0.11, 0.13, 0.13, 0.21, 0.21, 0.21, 0.24, 0.26, 0.29, 0.27, 
##     0.27, 0.26, 0.24, 0.21, 0.22, 0.22, 0.21, 0.24, 0.26, 0.27, 
##     0.27, 0.26, 0.26, 0.24, 0.26, 0.26, 0.26, 0.26, 0.26, 0.27, 
##     0.27, 0.27, 0.27, 0.26, 0.26, 0.24, 0.24, 0.22, 0.26, 0.19, 
##     0.19, -0.63, -0.69, -0.67, -0.58, -0.47, -0.06, 0.02, 0.06, 
##     0.1, 0.13, 0.35, 0.35, 0.29, 0.24, 0.21, 0.27, 0.42, 0.42, 
##     0.43, 0.51, 0.53, 0.5, 0.35, 0.22, 0.26, 0.29, 0.31, 0.32, 
##     0.32, 0.34, 0.29, 0.27, 0.27, 0.26, 0.26, 0.22, 0.21, 0.19, 
##     0.19, 0.19, 0.21, 0.14, 0.14, 0.19, 0.24, 0.24, 0.26, 0.29, 
##     0.31, 0.32, 0.35, 0.35, 0.35, 0.32, 0.29, 0.27, 0.26, 0.26, 
##     0.24, 0.24, 0.26, 0.29, 0.32, 0.34, 0.37, 0.37, 0.39, 0.35, 
##     0.34, 0.31, 0.29, 0.24, 0.24, 0.22, 0.21, 0.37, 0.4, 0.31, 
##     0.26, 0.22, 0.24, 0.24, 0.26, 0.27, 0.19, 0.18, 0.21, 0.24, 
##     0.26, 0.27, 0.32, 0.37, 0.42, 0.5, 0.69, 0.79, 1.53, 1.59, 
##     1.67, 1.61, 1.57, 1.56, 1.54, 0.1, 0.53, 0.63, 0.53, 0.45, 
##     0.48, 0.47, 0.42, 0.29, 0.26, 0.29, 0.35, 0.26, 0.24, 0.22, 
##     0.18, 0, 0.02, 0.18, 0.29, 0.31, 0.27, 0.29, 0.29, 0.31, 
##     0.29, 0.27, 0.27, 0.29, 0.29, 0.27, 0.24, 0.24, 0.22, 0.21, 
##     0.21, 0.21, 0.21, 0.19, 0.19, 0.19, -1.81, -1.35, -1.12, 
##     -0.11, 0.06, 0.18, 0.29, 0.37, 0.88, 0.96, 1.06, 1.08, 1.09, 
##     1.16, 1.24, 1.32, 1.59, 2.09, 2.86, 2.91, 2.86, 2.94, 2.89, 
##     2.87, 2.73, 2.76, 2.6, 2.5, 2.02, 1.99, 1.99, 1.75, 1.59, 
##     1.22, 0.79, 0.1, -0.06, -0.22, -0.43, -0.63, -0.8, -1.12, 
##     -1.54, -1.77, -1.64, 1.61, 1.64, 1.94, 2.15, 2.25, 2.12, 
##     2.18, 2.42, 2.38, 2.39, 2.46, 2.38, 2.09, 2.01, 1.99, 2.01, 
##     1.99, 1.98, 1.67, 1.33, 1.16, 0.18, -0.05, -0.47, -0.69, 
##     -0.85, -1.03, -1.2, -1.46, -1.51, -1.54, -1.45, -1.3, -1.27, 
##     -1.27, -1.46, -1.49, -1.53, -1.61, -1.45, -1.36, -1.3, -1.17, 
##     -1.27, -1.25, -1.32, -1.41, -1.3, -1.12, -0.95, -0.4, -0.1, 
##     0.18, 0.75, 1.27, 1.38, 1.46, 1.49, 1.49, 1.51, 2.06, 2.33, 
##     2.36, 2.36, 2.31, 2.28, 2.36, 2.3, 2.28, 2.49, 2.17, 1.93, 
##     1.38, 1.33, 1.3, 1.11, 0.96, 0.85, 0.61, -0.88, -1.45, -1.56, 
##     -1.57, -1.59, -1.57, -1.56, -1.38, -1.36, -1.43, -1.48, -1.35, 
##     -1.27, -1.32, -1.32, -1.22, -1.22, -1.01, -1.09, -1.03, -0.93, 
##     -0.58, -0.35, 0.06, 0.5, 0.88, 1.45, 1.51, 1.57, 1.64, 1.75, 
##     1.77, 1.8, 1.93, 1.91, 1.85, 1.96, 2.01, 1.98, 1.94, 1.98, 
##     1.98, 1.93, 1.93, 1.83, 1.86, 1.88, 1.73, 1.4, 1.36, 1.32, 
##     1.33, 1.28, 1.27, 1.2, 0.9, 0.79, -0.13, -0.26, -0.37, -1.03, 
##     -1.12, -1.3, -1.4, -1.53, -1.64, -1.83, -1.72, -1.69, -1.69, 
##     -1.43, -1.43, -1.41, -1.28, -1.33, -1.2, -1.06, -1.14, -1.2, 
##     -0.82, -0.74, -0.63, -0.51, -0.4, 0.47, 0.58, 0.69, 0.79, 
##     0.83, 0.93, 1.01, 1.06, 1.19, 1.19, 1.2, 1.41, 1.46, 1.57, 
##     1.67, 1.73, 1.99, 2.07, 1.94, 1.99, 1.83, 2.02, 1.98, 1.94, 
##     1.85, 1.72, 1.69, 1.65, 1.49, 1.46, 1.46, 1.53, 1.4, 1.25, 
##     1.33, 1.38, 1.46, 1.36, 1.32, 1.12, 1.01, 0.58, 0.39, 0.22, 
##     0.05, -0.18, -0.29, -0.39, -0.5, -0.66, -0.74, -0.92, -0.96, 
##     -1.17, -1.25, -1.38, -1.56, -1.57, -1.56, -1.51, -1.46, -1.41, 
##     -1.32, -1.32, -1.32, -1.46, -1.54, -1.22, -1.03, -0.92, -0.87, 
##     -0.82, -0.96, -0.95, 1.8, 1.75, 1.73, 1.75, 1.89, 1.94, 1.83, 
##     1.85, 1.65, 1.64, 1.72, 1.69, 1.59, 1.56, 1.75, 1.75, 1.73, 
##     1.57, 1.51, 1.48, 1.51, 1.45, 1.17, 0.96, 0.88, 0.37, -0.18, 
##     -0.32, -0.59, -0.77, -0.87, -1, -1.12, -1.4, -1.51, -1.77, 
##     -1.81, -1.86, -1.77, -1.7, -1.59, -1.49, -1.48, -1.51, -1.61, 
##     -1.62, -1.61, -1.61, -1.33, -1.3, -1.22, 2.39, 2.36, 2.38, 
##     2.2, 2.07, 1.94, 1.85, 1.86, 1.7, 1.69, 1.61, 1.49, 1.53, 
##     1.46, 1.24, 1.22, 1.19, 1.17, 1.06, 1, 0.98, 1.08, 1.09, 
##     1.09, 1.03, 0.64, 0.56, 0.47, 0.42, 0.35, 0.1, -0.08, -0.56, 
##     -0.72, -0.9, -1.14, -1.27, -1.38, -1.46, -1.98, -2.3, -2.47, 
##     -2.49, -2.54, -2.49, -2.39, -2.34, -2.26, -1.45, -1.35, -1.04, 
##     -0.87, -0.8, -0.63, -0.55, -0.51, -0.51, -0.39, -0.22, 0, 
##     0.08, 0.35, 0.37, 0.34, 0.34, 0.37, 0.5, 0.59, 0.69, 0.82, 
##     0.96, 1.28, 1.43, 1.73, 1.86, 1.98, 2.06, 2.04, 2.07, 2.06, 
##     2.06, 2.12, 2.15, 2.26, 2.2, 2.2, 2.22, 2.17, 2.06, 2.07, 
##     1.93, 1.81, 1.72, 1.35, 1.38, 1.32, 1.35, 1.25, 1.09, 1.04, 
##     0.96, 0.87, 0.67, 0.61, -0.79, -0.79, -0.75, -0.69, -0.63, 
##     -0.55, -0.43, -0.29, 0.08, 0.61, 0.8, 0.88, 0.95, 1.01, 1.14, 
##     1.32, 1.4, 1.49, 1.61, 1.67, 1.7, -1.75, -1.88, -1.96, -2.01, 
##     -2.02, -1.86, -1.91, -1.8, -1.75, -1.91, -1.93, -2.04, -2.14, 
##     -2.1, -1.64, -1, -0.59, -0.27, 0, 0.34, 0.67, 0.88, 0.95, 
##     0.96, 1.01, 1.16, 1.2, 1.3, 1.45, 1.4, 0.14, 0.11, 0.1, 0.11, 
##     0.18, 0.19, 0.21, 0.22, 0.26, 0.26, 0.29, 0.26, 0.24, 0.22, 
##     0.24, 0.24, 0.27, 0.29, 0.29, 0.29, 0.27, 0.26, 0.26, 0.18, 
##     0.1, 0.08, 0.13, 0.13, 0.14, 0.16, 0.14, 0.08, 0.05, 0.02, 
##     0.02, -0.05, -0.18, -0.35, -0.42, -0.47, -0.56, -0.59, -0.56, 
##     -0.63, 0.34, 0.35, 0.39, 0.4, 0.39, 0.32, 0.21, 0.24, 0.26, 
##     0.27, 0.24, 0.24, 0.22, 0.24, 0.24, 0.24, 0.26, 0.02, -0.02, 
##     0.02, 0.05, 0.16, 0.22, 0.37, 0.39, 0.42, 0.35, 0.27, 0.26, 
##     0.26, 0.27, 0.24, 0.31, 0.32, 0.34, 0.02, 0, 0.02, 0, 0.02, 
##     0, 0.02, -0.02, 0, 0, -0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 
##     0, 0.02, 0.02, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.03, -0.02, 
##     -0.02, 0, 0, 0, 0.02, 0, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.03, 0.05, 0.03, 0.02, -0.03, -0.03, -0.03, 
##     -0.02, 0, 1.54, 1.93, 2.04, 2.15, 2.54, 2.68, 3.15, 3.23, 
##     3.34, 3.13, 2.75, 2.26, 2.01, 1.73, -0.83, -1.14, -1.27, 
##     -1.46, -1.69, -2.75, -2.97, -3.16, -3.28, -3.45, -3.79, -3.79, 
##     -3.73, -3.77, -3.77, -3.74, -3.47, -3.18, -2.87, -2.63, -2.07, 
##     -1.91, -1.8, -1.51, -1.14, 2.57, 2.68, 2.31, 2.39, 2.15, 
##     2.1, 2.12, 2.02, 1.56, 1.38, 1.35, 1.24, 0.77, 0.63, 0.34, 
##     0.34, 0.32, 0.27, 0.18, 0.14, -0.31, -0.48, 2.83, 2.5, 2.5, 
##     2.44, 2.3, 2.31, 2.12, 2.18, 1.91, 1.98, 1.94, 1.81, 1.67, 
##     1.54, 1.4, 1.36, 1.32, 1.25, 1.16, 1.09, 0.85, 0.71, 0.61, 
##     0.53, 0.43, 0.39, 0.4, 1.78, 1.88, 2.2, 2.25, 2.33, 2.46, 
##     2.47, 2.38, 2.47, 2.33, 2.23, 2.39, 2.25, 2.38, 2.31, 2.18, 
##     2.26, 2.3, 2.15, 1.85, 1.65, 1.36, 1.06, 1.04, 1.12, 0, 0, 
##     -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, 0, 0, 0.02, 
##     0.02, 0.02, 0.02, 0.03, 0, 0, 0, 0, -0.02, -0.02, -0.02, 
##     0, 0.02, -0.02, 0.59, 0.47, 0.55, 1.04, 1.11, 0.88, 0.55, 
##     0.59, 0.75, 0.77, 0.72, 0.64, 0.19, 0.19, 0.18, 0.11, 0.11, 
##     0.1, 0.05, 0.02, 0.02, 0.02, 0, -0.03, 0.29, 0.05, -0.02, 
##     0.02, 0, 0.59, 0.72, 0.74, 0.74, 0.5, 0.37, 0.29, 0.18, 0.18, 
##     0.14, 0.18, 0.27, 0.31, 0.37, 0.45, 0.39, 0.34, 0.39, 0.66, 
##     -0.5, -0.43, -0.56, -0.35, -0.29, -0.27, -0.39, -0.47, -0.63, 
##     -0.56, -0.4, -0.34, -0.27, -0.13, 0.16, 0.39, 0.48, 0.87, 
##     0.87, 0.82, 0.71, 0.64, 0.58, 0.55, 1.83, 1.91, 1.62, 1.41, 
##     1.32, 1.43, 1.46, 1.46, 1.04, 1, 0.56, 0.48, 0.43, 0.37, 
##     -0.31, -0.35, -0.45, -0.56, -0.69, -1.67, -1.78, -1.93, -2.14, 
##     -2.26, -2.41, -2.57, 1.56, 2.17, 2.28, 1.91, 1.85, 1.7, 1.78, 
##     1.78, 1.61, 1.57, 1.38, 1.36, 1.4, 1.25, 0.55, 0.51, 2.17, 
##     2.26, 2.28, 2.18, 2.1, 1.53, 1.56, 1.24, 1.09, 0.95, 1.03, 
##     1.06, 0.82, 0.67, 0.53, 0.27, 0.21, 0.18, 0.18, -0.19, -2.86, 
##     -2.87, -2.87, -2.95, -2.87, -2.86, -2.79, -2.73, -1.38, 0.37, 
##     1.12, 1.61, 1.8, 1.8, 1.81, 1.94, 1.86, 1.61, 1.64, 1.33, 
##     1.3, 1.25, 1.24, 1.12, 0.9, 0.79, 0.72, 0.71, 0.67, 0.61, 
##     0.24, 0.06, -0.05, -0.37, -0.51, -0.63, -1.36, -1.56, -1.7, 
##     -1.83, -1.96, -2.07, -2.28, -2.34, -2.63, -2.67, -2.7, -2.71, 
##     -0.05, -0.05, 1.69, 1.69, 1.25, 1.16, 1.06, 0.96, 0.64, 0, 
##     -0.22, -1.11, -1.72, -1.86, -1.99, -2.07, -2.17, -2.3, -2.5, 
##     -2.62, -2.86, -2.97, -3.12, -3.15, -3.03, -3, -2.91, -2.67, 
##     -2.52, -2.47, -2.46, -2.44, -2.47, 1.4, 1.16, 1.04, 0.96, 
##     0.79, 0.69, 0.14, 0.1, -0.11, -0.31, -0.32, -0.32, -0.29, 
##     -0.26, -0.24, -0.22, -0.24, -0.26, -0.24, -0.24, -0.29, -0.29, 
##     -0.27, -0.27, -0.26, -0.26, -0.21, -0.19, -0.21, -0.22, -0.21, 
##     -0.21, -0.18, -0.19, -0.27, -0.72, -0.8, -0.93, -1.08, -1.43, 
##     -1.64, -2.09, -2.22, -2.41, -2.7, -2.79, -3, -3.15, -3.36, 
##     -3.47, -3.47, -3.48, -3.36, -3.24, -3.32, -3.32, -3.29, -3.18, 
##     -3.03, -2.39, -0.71, -0.13, 0.67, 1.65, 1.81, 1.99, 2.07, 
##     2.46, 2.92, 2.92, 3.05, 2.94, 2.71, 2.33, 2.52, 2.39, 2.62, 
##     2.63, 2.47, 2.33, 2.34, 1.89, 1.83, -3.55, -3.52, -3.47, 
##     -3.45, -3.45, -3.28, -2.94, -1.85, 0.06, 0.55, 0.85, 1.11, 
##     1.38, 1.8, 2.02, 2.12, 2.22, 2.65, 2.67, 2.65, 2.75, 2.6, 
##     2.55, 2.59, 2.52, 2.36, 2.39, 2.39, 2.2, 2.26, 2.39, 2.25, 
##     2.28, 2.02, 1.83, 1.64, 1.12, 0.85, 0.59, 0.31, 0.22, 0, 
##     -0.13, -0.61, -1.11, -1.25, -1.45, -1.96, -2.7, -2.99, -3.08, 
##     -3.15, -3.48, -3.53, -3.55, -3.69, -3.55, -3.4, -3.29, -3.55, 
##     -3.6, -3.64, -0.9, 1.03, 2.2, 2.23, 2.38, 2.36, 2.39, 2.54, 
##     2.55, 2.54, 2.73, 2.55, 2.49, 2.62, 2.73, 2.76, 2.73, 2.62, 
##     2.41, 2.22, 2.06, 1.83, 1.61, 1.48, 0.69, 0.56, 0.1, -0.95, 
##     -1.19, -1.54, -1.86, -2.81, -3.05, -3.26, -3.73, -3.74, -3.81, 
##     -3.77, -3.61, -3.55, -3.68, -3.76, -3.81, -3.64, -3.52, -3.36, 
##     -2.86, -2.6, -2.15, -0.77, 0, 0.69, 1.25, 1.69, 1.94, 2.6, 
##     2.7, 2.86, 3.15, 3.48, 3.6, 3.45, 3.58, 3.29, 2.94, 2.78, 
##     2.47, 1.22, 0.98, 0.77, 0.58, 0.26, 0.1, -0.87, -1.16, -1.3, 
##     -1.72, -2.22, -2.41, -2.76, -2.97, -3.32, -3.44, -3.47, -3.79, 
##     -3.85, -3.9, -4, -4.06, -4.17, -4.16, -4.32, -4.34, -4.16, 
##     -4.06, -3.89, -3.15, -2.97, -2.71, 1.43, 2.02, 2.2, 2.36, 
##     2.47, 2.62, 2.84, 3.2, -2.18, -2.54, -3.26, -3.5, -3.68, 
##     -3.81, -4, -4.05, -4.27, -4.13, -4.03, -3.81, -3.63, -3.31, 
##     -3.2, -2.78, -2.55, -1.12, 0.24, 0.79, 1.2, 1.48, 2.04, 2.5, 
##     2.94, 2.99, 3.28, 3.24, 3.16, 2.84, 1.73, 1.65, 1.91, 1.93, 
##     1.89, 1.78, 1.46, 0.9, 0.61, -0.13, -0.19, -0.24, -0.37, 
##     -0.59, -0.82, -0.9, -1.41, -1.57, -1.94, -2.23, -3.31, -3.5, 
##     -3.63, -3.92, -4.16, -4.22, -4.16, -4.08, -4.05, -4.05, -4.03, 
##     -4.06, -4.09, -4.09, -4, -3.71, -2.55, -1.98, 0.29, 0.92, 
##     1.86, 2.22, 2.31, 2.6, 3.1, 2.99, 3.15, 2.99, 3.03, 2.86, 
##     2.22, 2.18, 2.07, 1.99, 1.96, 1.99, 0.79, 0.71, 0.55, 0.48, 
##     0.27, 0.14, -0.32, -0.66, -1.33, -1.7, -2.26, -4.11, -4.22, 
##     -4.19, -4.09, -3.97, -3.92, 1.7, 1.36, 1.04, 0.14, 0.06, 
##     -0.24, -0.42, -0.67, -1.06, -1.49, -1.65, -1.8, -1.94, -2.31, 
##     -2.39, -2.46, -2.76, -3.95, -4.14, -4.24, -4.3, -4.24, -4.21, 
##     -4.16, -4.11, -3.9, -3.89, -3.66, -3.61, -3.4, -3.16, -2.33, 
##     -0.87, 0.77, 1.3, 1.86, 2.02, 2.34, 2.39, 2.6, 2.7, 3.02, 
##     3.34, 3.48, 3.56, 3.44, 3.53, 3.31, 3.2, 2.34, 2.2, 1.91, 
##     1.73, 0.66, 0.51, 0.05, -0.1, -0.55, -0.77, -1.14, -1.57, 
##     -1.98, -2.18, -2.39, -2.54, -3.4, -3.56, -3.71, -3.77, -3.87, 
##     -3.97, -3.97, -3.97, -4, -4, -3.97, -3.92, -3.89, -3.89, 
##     -3.69, -3.5, -2.89, -2.44, -1.91, -1.27, 1.19, 1.73, 3, 3.02, 
##     2.62, 2.6, 2.5, 2.47, 2.5, 2.36, 2.3, 2.3, 2.02, 2.01, 1.96, 
##     1.91, 1.85, 1.77, 2.75, 2.62, 2.6, 2.52, 2.46, 2.38, 2.2, 
##     2.06, 1.96, 1.62, 1.48, 1.36, 1.27, 1.14, 0.93, 0.87, 0.72, 
##     0.69, 0.55, 0.43, 0.31, 0.18, -0.1, -0.34, -0.42, -0.35, 
##     -0.35, -0.26, -0.1, 0.05, 0.06, 0.05, 0.16, 0.16, 0.16, 0.18, 
##     0.16, 0.1, 0.06, 0.05, 0.06, 0.11, 0.1, 0.03, -0.03, -0.08, 
##     -0.06, -0.05, -0.03, -0.02, 0, 0, 0.03, 0.03, 0.03, 0, 0, 
##     0.02, 0.03, 0.05, 0.06, 0.08, 0.06, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.03, 0.03, 0.03, 0, 0, -0.02, -0.02, -0.08, -0.06, 
##     -0.08, -0.1, -0.06, -0.03, -0.03, -0.05, -0.06, -0.13, -0.13, 
##     -0.08, -0.03, 0.03, 0.06, 0.05, -0.03, -0.11, -0.27, -0.32, 
##     -0.34, -0.4, -0.47, -0.58, -0.66, -0.96, -1.08, -1.24, -1.83, 
##     -1.99, -2.14, -2.26, 3.08, 3.4, 3.52, 3.4, 3.4, 3.56, 3.68, 
##     3.66, 3.63, 3.58, 3.48, 3.42, 3.32, 3.18, 3.07, 2.89, 2.86, 
##     2.73, 2.63, 2.55, 2.39, 1.99, 1.78, 1.53, 1.38, 1.27, 1.24, 
##     1.19, 1.08, 0.87, 0.45, 0.31, 0.16, -0.1, -0.24, -0.67, -1.36, 
##     -1.62, -2.34, -3.07, -3.2, -3.61, -3.84, -4.26, -4.3, -4.48, 
##     -4.56, -4.54, -4.54, -4.51, -4.46, -4.08, -4, -3.6, -3.48, 
##     -3.45, -3.28, -3.1, -3.07, -3.05, -3.02, -2.68, -2.42, -2.06, 
##     1.25, 1.86, 2.65, 3.26, 3.31, 3.26, 3.34, 3.31, 3.2, 3.21, 
##     3.21, 3.2, 3.2, 3.12, 3.12, 3.03, 3.03, 3.02, 2.86, 2.78, 
##     2.7, 2.7, -2.67, -2.84, -3.02, -3.61, -3.74, -3.89, -4, -4.17, 
##     -4.19, -4.06, -4.01, -3.79, -3.55, -3.47, -3.34, -3.21, -3.1, 
##     -2.99, -2.71, -2.7, -2.67, -2.71, -2.06, 1.4, 1.78, 2.02, 
##     2.41, 2.54, 2.83, 2.92, 3.16, 3.45, 3.53, 3.55, 3.52, 3.48, 
##     3.48, 3.5, 3.52, 3.4, 3.31, 3.08, 2.87, 2.73, 2.84, 3, 3.15, 
##     3.15, 3.1, 2.97, 2.79, 1.77, 1.45, 1.32, 0.93, 0.83, 0.74, 
##     0.51, 0.39, 0.22, 0.18, 0.1, -0.08, -0.31, -0.64, -0.79, 
##     -1.43, -2.12, -2.81, -2.95, -3.32, -3.61, -3.93, -4.16, -4.14, 
##     -3.73, -3.52, -3.44, -3.32, -3.21, -3.05, -2.95, -2.86, -2.89, 
##     -2.83, -2.67, -2.42, -1.48, -0.66, 0.85, 1.72, 2.01, 2.42, 
##     2.55, 2.68, 3.37, 3.61, 3.63, 3.66, 3.69, 3.63, 3.63, 3.58, 
##     3.52, 3.52, 3.48, 3.42, 3.32, 3.32, 3.16, 3.07, 2.75, 2.38, 
##     2.28, 1.96, 0.87, 0.85, 0.63, 0.08, -0.1, -0.56, -1.62, -1.93, 
##     -2.2, -2.39, -2.75, -3.95, -4.14, -4.45, -4.34, -4.27, -4.17, 
##     -4.08, -4.03, -3.82, -3.68, -3.5, -3.37, -3.1, -3.08, -3.15, 
##     -3.13, -2.86, -2.71, -2.68, -2.62, -2.47, -2.22, -1.89, -0.5, 
##     2.07, 2.39, 2.7, 3, 3.13, 3.4, 3.55, 3.63, 3.77, 3.82, 3.87, 
##     3.6, 3.44, 3.28, -3.97, -4.06, -4.13, -4.14, -4.13, -4.06, 
##     -4.01, -3.92, -3.74, -3.71, -3.5, -3.34, -3.31, -3.26, -3.28, 
##     -3.29, -3.28, -3.16, -3.08, -3.03, -2.91, -2.65, -2.26, -1.93, 
##     -1.28, -0.35, 0.63, 1.43, 1.99, 3.05, 3.1, 3.18, 3.37, 3.6, 
##     3.74, 3.9, 3.98, 4.08, 4.13, 3.97, 3.95, 3.82, 3.6, 2.94, 
##     2.79, 2.86, 2.84, 2.84, 2.92, 1.99, 1.65, 1.3, 1.14, 0.63, 
##     0.39, 0.16, -0.71, -0.87, -1, -1.4, -1.62, -1.93, -2.36, 
##     -3.1, -3.53, -3.71, -4.16, -4.14, -4.13, -4.08, -3.97, -3.92, 
##     -3.82, -3.77, -3.74, -3.69, 1.75, 1.89, 2.15, 2.47, 2.42, 
##     2.42, 2.54, 2.33, 2.44, 2.42, 2.28, 2.23, 2.23, 1.94, 1.83, 
##     1.75, 1.36, 1.35, 1.24, 0.95, 0.9, 0.71, 0.56, 0.5, 0.47, 
##     0.39, 0.21, -0.06, -0.27, -0.63, -1.62, -2.22, -2.71, -2.81, 
##     -2.95, -2.95, -3.03, -3.1, -3.05, -2.95, -2.83, -2.62, -2.55, 
##     -2.41, -2.41, -2.39, -2.31, -2.28, -2.02, -1.45, -0.11, 1.96, 
##     2.23, 2.26, 2.46, 2.5, 2.54, 2.52, 2.55, 2.42, 2.38, 2.3, 
##     2.17, 2.14, 2.07, 1.99, 1.98, 1.98, 1.98, 1.94, 1.88, 1.81, 
##     1.41, 1.16, 1.12, 1.04, 0.77, 0.63, 0.51, 0.16, -0.48, -1.01, 
##     -1.27, -1.86, -2.52, -2.62, -2.78, -3.32, -3.4, -3.32, -3.21, 
##     -3.08, -1.91, -1.89, -1.93, -2.1, -2.1, -1.99, -1.83, -1.57, 
##     -1.22, -0.75, 0.74, 1.09, 1.48, 1.8, 1.99, 2.15, 2.22, 2.52, 
##     2.57, 2.55, 2.44, 2.26, -3.13, -3, -2.87, -2.83, -2.7, -2.62, 
##     -2.59, -2.44, -2.41, -2.28, -2.18, -1.96, -2.01, -2.07, -1.96, 
##     -1.7, -1.28, -0.27, 0.92, 1.16, 1.28, 1.33, 1.88, 1.96, 2.07, 
##     2.12, 2.23, 2.31, 2.3, 2.36, 2.33, 2.34, 2.06, 1.98, 1.86, 
##     1.88, 1.88, 1.56, 1.48, 1.43, 1.06, 0.47, 0.16, -0.06, -0.34, 
##     -1.12, -1.38, 1.06, 1.2, 1.28, 1.51, 1.62, 1.83, 1.86, 2.07, 
##     2.15, 2.12, 2.23, 2.49, 2.6, 2.65, 2.78, 2.68, 2.54, 2.54, 
##     2.36, 2.25, 2.18, 2.07, 2.01, 1.77, 1.53, 1.46, 1.4, 1.2, 
##     1.08, 0.95, 0.79, 0.32, 0.24, 0.18, -0.03, -0.18, -0.22, 
##     -0.21, -0.14, -0.13, -0.03, -0.02, 0, -0.02, 0, 0.02, 0.03, 
##     0.03, 0.05, 0.05, 0.05, 0.03, 0.06, 0.03, 0.02, 0, 0, 0, 
##     0, -0.02, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0, 0, -0.03, 2.92, 2.97, 3.07, 3.1, 3.07, 3.03, 3.1, 
##     3.12, 3.08, 3.02, 3.02, 3.02, 2.89, 2.86, 2.84, 2.67, 2.57, 
##     2.04, 1.59, 1.27, 0.53, 0.11, -0.19, -0.59, -0.98, -1.28, 
##     2.87, 3.21, 3.26, 3.24, 3.21, 3.15, 3, 2.91, 2.78, 2.6, 2.55, 
##     2.52, 2.39, 2.38, 2.34, 2.17, 2.18, 2.15, 1.99, 1.72, 1.2, 
##     0.8, 0.4, -0.31, -0.96, -1.81, -2.47, -3.08, -3.34, -4.27, 
##     -4.45, -4.62, -4.66, -4.72, -3.92, -3.81, -3.58, -3.5, -3.44, 
##     -3.42, -3.07, -2.78, -2.33, -1.09, -0.45, 0.14, 1.01, 1.25, 
##     1.48, 1.8, -0.13, -0.93, -1.64, -2.04, -2.65, -2.84, -3.16, 
##     -3.58, -3.69, -3.61, -3.53, -3.5, -3.47, -3.29, -3.16, -2.25, 
##     -1.93, -1.65, -1.28, 0.66, 1.11, 1.24, 1.51, 1.73, 2.22, 
##     2.86, 3.07, 3.08, 3.2, 3.15, 3.15, 3.2, 3.21, 3, 2.5, 2.31, 
##     2.25, 2.2, 2.15, 2.14, 1.88, 1.78, 1.73, 1.59, -0.22, -1.54, 
##     -2.06, -2.81, -3.05, -4.17, -4.21, -4.13, -3.84, -3.73, -3.48, 
##     -3.2, -3.2, -3.21, 2.65, 2.57, 2.17, 2.14, 2.12, 2.17, 2.2, 
##     2.23, 2.2, 2.25, 2.28, 2.17, 2.06, 1.81, 1.62, 1.2, 1.01, 
##     0.85, 0.71, 0.55, 0.14, -0.14, -1.04, -1.32, -1.62, -1.93, 
##     -2.25, -2.89, 2.49, 2.65, 2.81, 3.34, 3.4, 3.53, 3.58, 3.53, 
##     3.53, 3.48, 3.48, 2.92, 2.75, 2.5, 2.26, 2.14, 2.15, 2.17, 
##     2.06, 2.06, 2.04, 2.04, 2.06, 1.48, 1.03, 0.67, 0.5, 0.31, 
##     -0.63, -0.95, -1.54, -1.83, -2.71, -2.94, -3.12, -3.68, -3.79, 
##     -3.9, -3.98, -4.03, -4.08, -4.08, -3.98, -3.74, -3.64, -3.42, 
##     -2.92, -2.78, -2.62, -2.47, -2.44, -2.39, -2.34, -2.31, -2.28, 
##     -2.06, -0.8, -0.39, 0.06, 0.74, 0.98, 2.02, 2.2, 2.87, 2.95, 
##     3.13, 3.12, 3.1, 3.15, 2.99, 2.84, 2.65, 2.55, 2.5, 2.46, 
##     2.3, 2.15, 2.09, 1.91, 1.06, 1.24, 1.45, 1.65, 1.86, 2.01, 
##     2.22, 2.44, 2.28, 2.7, 2.65, 2.33, 2.42, 2.83, 2.94, 2.83, 
##     2.41, 2.34, 2.46, 2.31, 2.04, 1.96, 2.01, 2.09, 1.88, 1.72, 
##     1.24, 0.79, 0.58, 0.39, 0.22, 0.11, 0.05, -0.08, -1.03, -1.27, 
##     -1.54, -1.98, -2.15, 3.12, 2.57, 2.44, 2.34, 1.22, 1.11, 
##     0.83, 0.02, -0.67, -1.57, -1.81, -2.12, -3.13, -3.31, -3.48, 
##     -3.6, -3.77, -3.81, -3.64, -3.48, -3.32, -2.86, -2.67, -2.39, 
##     -1.62, -0.79, 0.18, 0.42, 0.59, 0.74, 0.67, 0.71, 0.83, 1.04, 
##     1.51, 1.65, 2.44, 2.95, 2.87, 2.83, 2.5, 2.18, 2.28, 2.49, 
##     2.2, 2.28, 2.22, 2.17, 1.65, 1.24, 1.16, 1.12, 0.59, -0.37, 
##     -0.51, -0.58, -0.55, -0.48, -0.45, -0.39, -0.34, -0.16, 0.03, 
##     0, 0, 0.03, 0.02, 0.02, 0.02, 0.03, 0.02, 0.05, 0.03, 0.02, 
##     0.02, 0.02, 0.02, 0.03, 0.03, 0.05, 0.05, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.05, 0.05, 0.02, -0.21, -0.51, -1.61, 
##     -1.91, -2.26, -3.95, -4.37, -4.51, -4.67, -4.64, -4.54, -4.46, 
##     -4.45, -3.68, -3.5, -3.24, -2.1, -1.45, -1.06, -0.59, 0.39, 
##     1.17, 1.78, 2.2, 2.52, 2.73, 3.02, 3.24, 3.42, 3.68, 3.84, 
##     3.73, 3.82, 3.76, 3.89, 3.9, 3.85, 4.29, 3.6, 3.34, 2.79, 
##     2.26, 1.01, 0.74, 0.47, -0.35, -1.35, -2.79, -3.81, -4.16, 
##     -4.75, -4.96, -4.99, -4.98, -4.61, -4.56, -3.87, -3.45, -2.49, 
##     -2.34, -1.81, -1.51, -1.12, 0.87, 1.3, 1.73, 2.73, 3.08, 
##     3.23, 3.29, 3.39, 3.73, 3.73, 3.93, 3.92, 3.77, 3.79, 3.87, 
##     3.47, 2.54, 1.14, 0.85, 0.71, 0.56, -0.31, -1.2, -1.46, 3.95, 
##     3.93, 3.74, 3.77, 3.66, 3.74, 3.45, 3.26, 2.55, 1.88, 0.95, 
##     0.74, 0, -1.99, -3.1, -3.93, -4.51, -4.67, -4.74, -4.29, 
##     -4.24, -4.3, -4.29, -4.24, -3.85, -3.07, -2.26, -1.81, -1.14, 
##     0.5, 1.67, 2.54, 2.71, 3.05, 3.26, 3.66, 3.76, 4, 4.05, 3.58, 
##     3.84, 3.44, 3.13, 2.91, 2.62, 2.31, -0.03, -0.53, -1.28, 
##     -2.86, -3.48, -3.79, -4.06, -4.32, -4.67, -4.78, -4.83, -4.93, 
##     -5.01, -4.53, -4.42, -3.79, -3.63, -3.53, -2.71, -2.38, -1.51, 
##     -0.98, 0.22, 0.75, 2.17, 2.42, 2.81, 3.21, 3.48, 4, 4.05, 
##     3.87, 3.81, 4, 3.89, 3.93, 3.69, 3.5, 3.56, 3.68, 3.52, 2.79, 
##     2.54, 1.53, 1.3, 0.72, 0.5, 0.13, -0.61, -0.92, -2.31, -2.59, 
##     -2.94, -3.32, -4.66, -4.78, -5.27, -5.31, -5.14, -4.32, -4.14, 
##     -3.93, -3.4, -2.92, -2.6, -1.61, -0.63, -2.38, -3.37, -3.73, 
##     -4.03, -4.64, -4.82, -5.01, -5.09, -4.75, -4.61, -4.37, -3.32, 
##     -3.13, -2.92, -2.26, -1.64, -1.16, 0.32, 0.92, 1.45, 1.93, 
##     2.54, 3.05, 3.21, 3.24, 3.79, 4.09, 4.35, -5.04, -4.7, -4.58, 
##     1.61, 1.85, 2.3, 2.42, 2.57, 2.63, 2.76, 2.71, 2.5, 2.34, 
##     1.78, 1.67, 1.57, 1.46, 1.41, 1.46, 1.41, 1.2, 1.09, 0.39, 
##     0.39, 0.35, 0.31, 0.32, 0.31, 0.32, 0.31, 0.29, 0.27, 0.35, 
##     0.37, 0.4, 0.43, 0.47, 0.48, 0.48, 0.47, 0.48, 0.48, 0.47, 
##     0.42, 0.34, 0.32, 0.31, 0.24, 0.13, 0.13, 0.13, 0.16, 0.18, 
##     0.14, 0.1, -0.08, -0.18, -0.24, -2.26, -2.7, -3.12, -3.56, 
##     -3.74, -3.85, -3.92, -3.87, -3.77, -3.68, -3.55, -3.52, -3.1, 
##     -2.99, -2.84, -2.7, -2.44, -2.09, -1.48, -1.2, -0.93, -0.61, 
##     -0.32, -0.22, -0.14, -0.03, 0.21, 0.43, 0.53, 0.63, 1.06, 
##     1.2, 1.46, 1.62, 2.06, 2.23, 2.84, 3.05, 3.76, 3.73, 3.48, 
##     3.44, 3.32, 3.24, 3.26, 3.24, 3.16, 3.1, 2.87, 2.47, 2.46, 
##     2.18, 1.78, 1.51, 1.17, 1.11, 1.03, 0.85, 0.53, 0.29, 0.18, 
##     0.02, -0.98, -1.32, -1.64, -2.3, -2.41, -2.57, -2.78, -2.86, 
##     -3.08, -3.12, -3.23, -3.31, -3.26, -3.18, -3.18, -2.92, -2.81, 
##     -2.47, -2.39, -1.93, -1.89, -1.81, -1.64, -1.43, -1.11, -1.03, 
##     -1, 2.92, 2.63, 2.63, 2.39, 2.41, 2.46, 2.25, 2.09, 2.04, 
##     1.7, 1.51, 1.36, 1.24, 1.2, 1.35, 1.32, 1.09, 1.03, 0.93, 
##     0.87, 0.83, 0.77, 0.31, 0.19, 0.05, -0.21, -0.48, -0.75, 
##     -0.63, -0.32, 0.03, 0.69, 0.98, 1.75, 1.98, 2.34, 3.32, 3.56, 
##     3.47, 3.4, 3.26, 3.28, 3.24, 3.12, 3.08, 2.89, 2.86, 2.78, 
##     2.62, 2.65, 2.41, 2.36, 2.34, 2.09, 1.91, 1.4, 1.38, 1.35, 
##     1.11, 0.98, 0.88, 0.77, 0.51, 0.35, 0.27, 0.21, 0.08, 0.02, 
##     -0.05, -0.14, -0.37, -0.51, -0.69, -2.12, -2.41, -2.67, -3.37, 
##     -3.2, -3.18, -3, -2.79, -2.75, -2.68, -2.68, -2.59, -2.36, 
##     -2.2, -1.91, -1.75, -1.64, -1.51, -1.43, -1.35, -1.28, -1.24, 
##     -1.14, -1.08, -0.56, -0.19, -0.08, 0.03, 0.14, 0.27, 0.4, 
##     1, 1.45, 1.72, 1.94, 2.17, 2.62, 2.79, 2.97, 3.32, 3.48, 
##     3.47, 3.26, 3.03, 2.94, 2.89, 2.92, 2.79, 0.37, 0, -0.58, 
##     -0.83, -1.06, -1.43, -1.73, -2.31, -2.71, -2.71, -2.83, -2.86, 
##     -2.83, -2.81, -3.07, -3.1, -3.03, -3.07, -2.78, -2.6, -1.99, 
##     -1.85, -1.53, -1.32, -1.19, -0.98, -0.92, -0.77, 0.16, 0.56, 
##     0.72, 1.2, 1.4, 1.83, 2.06, 2.78, 3.02, 1.03, 0.88, 0.79, 
##     0.75, 0.72, 0.72, 0.69, 0.61, 0.53, 0.31, 0.21, -0.03, -0.21, 
##     -0.43, -0.59, -0.8, -0.98, -1.85, -1.99, -2.6, -2.81, -3.08, 
##     -3.45, -3.58, -3.56, -3.58, -3.44, -2.92, -2.76, -2.65, -2.49, 
##     -2.34, -1.77, -1.65, -1.54, -1.46, -1.25, -1.01, -0.88, -0.72, 
##     -0.35, -0.18, -0.02, 0.26, 0.35, 0.53, 0.64, 1, 1.11, 1.65, 
##     2.06, 2.22, 2.62, 2.84, 3.32, 3.37, 3.13, 3, 2.94, 2.91, 
##     2.78, 2.7, 2.7, 2.68, 2.46, 2.38, 2.42, 2.34, 2.38, 1.72, 
##     1.73, 1.81, 1.77, 1.69, 1.64, 1.53, 0.98, 0.69, 0.64, 0.56, 
##     0.48, 0.42, 0.34, 0.26, -0.22, -0.4, -0.59, -0.9, -1.09, 
##     -1.4, -1.57, -2.14, -2.76, -3.52, -3.81, -3.61, -3.47, -2.65, 
##     -1.99, -1.7, -1.45, -1.25, -1.16, -1.11, -1.04, -0.96, -0.93, 
##     -0.92, -0.87, -0.82, -0.79, -0.71, -0.45, -0.32, -0.16, -0.02, 
##     0.34, 0.61, 0.72, 0.82, 0.96, 1.06, 1.41, 1.61, 1.77, 1.94, 
##     2.17, 2.67, 2.91, 3.16, 3.45, 3.44, 3.07, 3.03, 3.1, 2.91, 
##     2.68, 2.76, 2.59, 2.42, 2.49, 2.49, 2.34, 2.26, 2.31, 2.17, 
##     2.09, 1.99, 1.62, 1.64, 1.64, 1.53, 1.45, 1.35, 1.2, 0.95, 
##     0.85, 0.67, 0.63, 0.58, 0.5, 0.4, 0.37, 0.31, 0.27, 0.24, 
##     0.21, 0.19, 0.16, 0.06, -0.87, -1.16, -1.36, -1.85, -2.23, 
##     -2.62, -2.97, -3.12, -2.91, -2.47, -2.34, -1.77, -1.67, -1.41, 
##     -1.35, -1.19, -1.19, -1.16, -1.09, -0.92, -0.58, -0.14, 0.02, 
##     0.21, 0.4, 0.55, 0.69, 0.87, 1.08, 1.27, 1.46, 1.85, 2.46, 
##     2.68, 2.94, 3.2, 3.39, 3.66, 3.71, 3.71, 3.28, 3.58, 3.74, 
##     3.9, 4.13, 3.85, 3.68, 3.39, 3.15, 2.83, 2.81, 2.76, 2.54, 
##     2.26, 2.25, 1.88, 1.81, 1.8, 1.69, 1.35, 1.22, 1.17, 1.14, 
##     1.12, 1.12, 2.76, 2.84, 2.7, 2.75, 2.6, 2.42, 2.25, 1.88, 
##     1.59, 1.14, 1.25, 1.12, 0.8, 0.71, 0.59, 0.56, 0.53, 0.45, 
##     -1.17, -1.45, -2.1, -2.38, -2.54, -3.1, -3.13, -3.26, -3.37, 
##     -3.37, -3.2, -3.02, -2.94, -2.89, -2.81, -2.76, -2.7, -2.67, 
##     -2.57, -2.38, -2.31, -2.18, -2.04, -1.89, -1.75, -1.65, -1.51, 
##     -1.4, -1.36, -1.33, -1.24, -1.16, -0.53, -0.05, 0.51, 0.64, 
##     0.77, 1.01, 1.65, 2.23, 2.63, 3.03, 3.5, 3.64, 3.52, 3.44, 
##     3.24, 3.07, 3, 1.03, 0.8, 0.71, 0.66, 0.63, 0.59, 0.4, 0.37, 
##     0.34, 0.32, 0.32, 0.34, 0.34, 0.37, 0.37, 0.37, 0.37, 0.37, 
##     0.37, 0.39, 0.39, 0.39, 0.37, 0.37, 1.91, 1.86, 2.09, 2.07, 
##     2.06, 1.96, 2.02, 2.14, 2.04, 2.06, 2.14, 2.07, 1.93, 1.75, 
##     1.59, 1.46, 1.41, 1.41, 1.25, 0.13, 0.03, -0.03, -0.11, -0.31, 
##     -0.61, -1.12, -1.28, -1.48, -1.51, -1.61, -1.85, -1.98, -2.15, 
##     -2.36, -2.41, -2.44, -2.3, -2.2, -2.14, -2.15, -2.07, -1.94, 
##     -1.7, -1.67, -1.54, -1.01, -0.95, -0.93, -1.17, -1.2, -1.14, 
##     -0.74, -0.92, -1, -0.93, -0.82, -0.66, -0.1, 0.34, 0.42, 
##     0.59, 0.66, 0.88, 1.01, 1.45, 1.73, 1.81, 1.98, 2.1, 2.38, 
##     0.43, 0.22, 0.03, -0.29, -0.39, -1.24, -1.56, -1.77, -1.94, 
##     -2.01, -2.06, -2.01, -1.8, -1.81, -1.81, -1.77, -1.73, -1.75, 
##     -1.85, -1.77, -1.7, -1.51, -1.38, -1.25, -1.24, -1.24, -1.2, 
##     -1.09, -0.98, -1, -0.87, -0.82, -0.8, -0.79, -0.79, -0.77, 
##     -0.72, -0.64, -0.53, -0.26, 0.37, 0.59, 0.71, 0.95, 1.46, 
##     1.86, 2.09, 2.15, 2.1, 2.22, 2.17, 2.07, 2.09, 2.06, 1.99, 
##     1.91, 1.85, 1.85, 1.77, 1.73, 1.45, 1.4, 1.38, 1.36, 1.36, 
##     1.43, 1.41, 1.36, 1.33, 1.27, 1.09, 1.08, 1.11, 1.12, 1.3, 
##     1.3, 1.11, 1.04, 0.96, 0.82, 0.55, 0.26, 0.11, -0.13, -0.32, 
##     -0.42, -0.69, -0.93, -1.17, -1.27, -1.62, -1.98, -2.1, -2.01, 
##     -2.01, -1.96, -1.88, -1.75, -1.61, -1.14, -0.92, -0.75, -0.56, 
##     -0.53, -0.56, -0.95, -0.92, -0.87, -0.93, -0.92, -0.88, -0.82, 
##     -0.69, -0.51, -0.19, -0.06, 0.63, 0.93, 1.22, 1.32, 1.41, 
##     1.45, 1.57, 1.65, 1.64, 1.89, 1.88, 1.78, 1.96, 1.91, 1.91, 
##     1.96, 1.99, 1.85, 1.86, 1.91, 1.94, 1.59, 1.54, 1.46, 1.48, 
##     1.49, 1.4, 1.48, 1.43, 1.41, 1.2, 1.12, 1.03, 0.56, 0.48, 
##     0.4, 0.34, 0.27, 0.03, -0.18, -0.45, -0.58, -0.72, -0.87, 
##     -1.19, -1.28, -1.36, -1.45, -1.53, -1.65, -1.8, -1.85, -1.94, 
##     -0.21, -0.13, 0.05, 0.06, 0.13, 0.37, 0.67, 0.79, 0.87, 1.2, 
##     1.27, 1.32, 1.3, 1.3, 1.33, 1.35, 1.35, 1.41, 1.41, 1.54, 
##     1.51, 1.57, 1.7, 1.81, 1.89, 0.39, 0.37, 0.29, 0.26, 0.24, 
##     0.24, 0.24, 0.19, 0.18, 0.18, 0.19, 0.11, 0.05, -0.27, -1.25, 
##     -1.91, -2.06, -2.09, -2.17, -2.34, -2.47, -2.52, -2.65, -2.71, 
##     -2.7, -2.71, -2.71, -2.7, -2.68, -2.59, -2.52, -2.38, -2.18, 
##     -2.09, -2.01, -2.07, -2.14, -2.17, -1.99, -1.81, -0.87, -0.19, 
##     -0.05, 0.11, 0.22, 0.58, 0.64, 0.88, 1, 1.12, 1.3, 1.49, 
##     1.78, 2.14, 2.25, 2.46, 2.7, 2.87, 3, 3.18, 3.4, 3.53, 3.58, 
##     3.6, 3.52, 3.16, 2.83, 2.73, 2.71, 2.75, 2.57, 2.52, 2.49, 
##     2.14, 1.85, 1.73, 1.61, 1.19, 1.08, 0.1, -0.1, -0.26, -0.55, 
##     -0.74, -0.95, -1.36, -1.57, -1.96, -2.09, -2.2, -2.33, -2.94, 
##     -2.94, -2.84, -2.47, -2.41, -2.31, -2.1, -2.12, -2.09, -2.18, 
##     -2.14, -1.7, -1.43, -1.36, -1.3, -1.25, -1.27, -1.24, -1.22, 
##     -1.24, -1.19, -0.96, -0.79, -0.55, -0.08, 0.8, 1.03, 1.16, 
##     1.28, 1.72, 1.8, 1.85, 1.96, 2.1, 2.2, 2.39, 2.5, 2.67, 2.78, 
##     2.87, 2.94, 3.1, 3.24, 3.32, 3.52, 3.45, 3.39, 3.12, 3.07, 
##     2.87, 2.76, 2.76, 2.31, 2.01, 1.94, 1.86, 1.67, 1.49, 1.36, 
##     1.28, 1.16, 0.93, 0.8, 0.66, 0.56, -0.1, -0.26, -0.45, -1.03, 
##     -1.2, -1.49, -2.22, -2.34, -2.97, -2.87, -2.84, -2.86, -2.87, 
##     -2.83, -2.83, -2.83, -2.76, -2.65, -2.31, -1.93, -1.88, -1.72, 
##     -1.7, -1.45, -1.33, -1.19, -1.08, -1, -0.93, -0.93, -0.88, 
##     2.65, 2.68, 2.67, 2.68, 2.57, 2.59, 2.6, 2.68, 2.83, 2.34, 
##     2.07, 1.91, 1.81, 1.72, 1.43, 1.22, 0.8, -0.34, -0.66, -1.4, 
##     -1.62, -1.81, -2.39, -2.67, -2.87, -3.24, -3.4, -3.48, -3.5, 
##     -3.44, -3.26, -3.15, -2.92, -2.75, -2.46, -2.33, -2.2, -2.02, 
##     -1.64, -1.35, -1.28, -1.24, -1.25, -1.33, -1.28, -1.22, -0.55, 
##     -0.35, 0.48, 0.59, 0.79, 0.83, 0.88, 0.96, 1.06, 1.35, 1.48, 
##     1.59, 1.69, 1.78, 2.02, 2.25, 2.39, 2.78, 2.87, 2.97, 2.92, 
##     2.84, 2.7, 2.68, -0.42, -0.59, -0.71, -0.83, -0.96, -1.14, 
##     -1.56, -2.17, -2.31, -2.39, -2.3, -2.22, -2.17, -2.12, -2.18, 
##     -2.22, -2.23, -2.17, -2.12, -1.89, -1.85, -1.78, -1.73, -1.65, 
##     -1.59, -1.56, -1.53, -1.53, -1.53, -1.54, -1.53, -1.38, -1.2, 
##     -0.79, -0.47, -0.27, 0.55, 0.66, 0.72, 0.98, 1.48, 2.12, 
##     2.26, 2.34, 2.44, 2.73, 2.81, 2.94, 3.02, 3.12, 3.03, 3.03, 
##     3.03, 2.86, 2.83, 2.7, 2.62, 2.73, 2.75, 2.71, 2.63, 2.65, 
##     2.68, 2.55, 2.46, 2.3, 2.18, 2.12, 1.48, 1.38, 1.17, 1.03, 
##     0.92, 0.35, 0.26, -0.26, -0.72, -0.96, -1.08, -1.51, -1.83, 
##     -2.04, -2.31, -2.42, -2.62, -2.67, -2.63, -2.49, -2.46, -2.42, 
##     -2.3, -2.23, -2.22, -2.17, -2.1, -2.06, -2.01, -1.73, -1.62, 
##     -1.54, -1.38, -1.17, -1.06, -0.96, -1.06, -1.11, -0.29, 0.88, 
##     0.95, 0.98, 1.03, 1.11, 1.46, 1.93, 2.12, 2.1, 2.06, 2.18, 
##     2.33, 2.55, 2.79, 2.87, 3.08, 3.23, 3.36, 3.28, 3.23, 3.08, 
##     2.87, 2.59, 1.99, 2.04, 1.8, 1.65, 1.64, 1.62, 1.38, 1.27, 
##     1.14, 0.47, 0.32, 0, -0.14, -0.69, -0.87, -1.27, -1.45, -1.88, 
##     -2.18, -2.31, -2.47, -2.52, -2.62, -2.67, -2.67, -2.67, -2.52, 
##     -2.46, -2.23, -2.12, -2.06, -1.96, -1.86, -1.65, 0.45, 0.42, 
##     0.37, 0.31, 0.22, -0.9, -0.82, -0.77, -0.61, -0.5, -0.48, 
##     -0.47, -0.29, 0, 0.26, 0.42, 0.51, 0.69, 0.93, 1, 1.06, 1.3, 
##     1.56, 1.69, 1.73, 1.73, 1, 0.93, 0.88, 0.92, 0.98, 1.03, 
##     0.79, 0.64, 0.59, 0.56, 0.56, 0.56, 0.58, 0.59, 0.5, 0.4, 
##     0.22, 0.11, -0.32, -0.51, -1.46, -1.77, -2.28, -2.38, -2.57, 
##     -2.47, -2.46, -2.47, -2.3, -2.22, -2.01, -1.91, -1.78, -1.56, 
##     -1.2, -1.19, -1.03, -0.95, -0.79, -0.55, -0.31, -0.26, -0.24, 
##     -0.18, -0.08, 0.1, 0.24, 0.43, 0.47, 0.45, 0.42, 0.42, 0.43, 
##     0.43, 0.43, 0.45, 0.48, 0.5, 0.48, 0.5, 0.53, 0.58, 0.61, 
##     0.61, 0.64, 0.71, 0.74, 0.71, 0.63, 0.45, 0.39, 0.45, 0.66, 
##     1.17, 2.6, 2.5, 2.55, 2.54, 2.63, 2.41, 2.33, 2.22, 1.51, 
##     1.32, 1.28, 1.3, 1.11, 1.03, 0.96, 0.88, 0.8, 0.51, 0.22, 
##     0.08, -0.24, 0.21, 0.59, 0.87, 1.11, 1.11, 1.17, 1.22, 1.48, 
##     1.62, 1.77, 1.89, 1.88, 1.94, 1.96, 1.96, 2.02, 2.28, 2.41, 
##     2.57, 2.62, 2.65, 2.81, 2.81, 2.73, 2.71, 1.75, 1.65, 1.69, 
##     1.56, 1.59, 1.53, 1.43, 1.46, 1.51, 1.59, 1.43, 1.27, 1.27, 
##     1.28, 1.27, 1.17, 0.92, 0.67, 0.58, -2.02, -2.04, -1.99, 
##     -1.89, -1.93, -2.07, -2.07, -1.98, -1.83, -1.75, -1.49, -1.19, 
##     -0.93, -0.85, -0.87, -0.79, -0.72, -0.72, -0.75, -0.77, -0.72, 
##     -0.56, -0.35, 2.42, 2.44, 2.41, 2.44, 2.36, 2.28, 2.31, 2.1, 
##     1.96, 1.45, 1.46, 1.45, 1.45, 1.45, 1.35, 0.95, 0.87, 0.85, 
##     0.8, 0.71, 3.87, 3.93, 3.95, 4, 4.11, 2.78, 2.36, 1.73, 1.41, 
##     -0.14, -0.35, -0.82, -1.94, -2.97, -3.98, -4.29, -4.51, -4.95, 
##     -4.99, -5.23, 0.66, 1.59, 2.25, 2.86, 3.05, 3.16, 3.66, 3.81, 
##     3.82, 4, 4.14, 4.05, 3.69, 3.76, 4.05, 3.4, 3.5, 3.21, 3.03, 
##     3.02, 2.87, 2.34, 2.2, 2.04, 0.71, 0.32, -0.08, -1.11, -1.38, 
##     -2.62, -3.53, -4.01, -4.22, -4.43, -4.58, -4.62, -4.53, -4.37, 
##     -3.97, -3.84, -3.68, -3.15, -3, -2.87, -2.75, -2.55, -1.69, 
##     -1.41, 1, 1.72, 2.01, 2.5, 2.97, 3.18, 3.44, 3.61, 3.82, 
##     -0.1, -0.08, 0.02, -0.03, -0.02, 0.02, 0.06, 0.13, 0.1, 0.03, 
##     0.03, 0.06, 0.1, 0.08, 0.06, 0.05, 0.02, 0.03, 0.05, 0.06, 
##     0.05, 0.05, -2.68, -2.83, -3.07, -3.2, -3.23, -3.26, -3.23, 
##     -3.12, -3.05, -3.05, -2.94, -2.86, -2.78, -2.5, -2.44, -1.09, 
##     0.47, 0.82, 1.22, 1.36, 1.57, 1.86, 2.02, 2.22, 2.71, 2.59, 
##     3, 2.97, 3.18, 2.91, -3.53, -3.45, -3.4, -3.15, -2.99, -2.65, 
##     -2.01, -1.01, -0.24, 0.59, 1.33, 2.59, 2.92, 2.99, 3.1, 3.24, 
##     3.32, 3.44, 3.77, 4.05, 4.21, 4.16, 4.16, 4.13, 4.06, 4.09, 
##     3.24, 3.21, 3.37, 3.39, 3.39, 3.2, 1.99, 1.53, 1.41, 1.36, 
##     1.28, 1.12, 1, 0.83, 0.37, 0.22, 0.06, -0.1, -0.47, -0.93, 
##     -1.36, -2.3, -2.55, -2.79, -3.44, -3.64, -3.77, -3.87, 2.49, 
##     2.46, 1.98, 1.86, 1.72, 1.53, 1.24, 1, 0.87, 0.79, 0.67, 
##     0.56, 0.34, 0.26, 0.08, -0.02, -0.1, -0.19, -0.55, -2.04, 
##     -2.26, -2.95, -3.45, -3.85, -4.4, -4.46, -4.54, -4.66, -4.59, 
##     -4.54, -4.45, -4.35, -4.22, -3.77, -3.58, -3.48, -3.08, -2.83, 
##     -2.26, -1.75, -1.04, 0.45, 1.04, 1.86, 2.14, 2.31, 2.6, 2.83, 
##     -3.85, -3.81, -3.93, -3.61, -3.16, -2.6, -2.41, -2.22, -2.01, 
##     -0.35, 0.82, 1.61, 2.06, 2.42, 2.6, 2.86, 2.92, 2.89, 2.94, 
##     2.89, 1.64, 1.59, 1.35, 1.09, 0.63, 0.48, 0.27, 0.16, -0.02, 
##     -0.21, -0.27, -0.4, -0.63, -1, -1.11, -1.33, -1.46, -2.28, 
##     -3.03, -3.26, -3.5, -3.52, -0.96, 0.02, 0.98, 1.61, 1.98, 
##     2.22, 2.38, 2.46, 2.5, 2.73, 2.83, 2.92, 3.31, 3.42, 3.4, 
##     3.53, 3.55, 3.58, 3.53, 3.39, 2.79, 2.73, 2.42, 2.36, 2.15, 
##     2.07, 2.09, 2.06, 3.44, 3.26, 3.32, 2.59, 2.76, 2.75, 2.57, 
##     2.52, 2.18, 0.66, 0.55, 0.51, 0.45, 0.19, -0.26, -0.53, -0.59, 
##     -0.64, 1.65, 1.49, 1.17, 0.1, -0.11, -0.27, -0.53, -1.06, 
##     -1.2, -2.67, -3.29, -3.36, -3.4, -3.47, -3.53, -3.53, -3.53, 
##     -3.95, -3.92, 1.83, 1.67, 1, 0.32, 0.14, -0.06, -0.58, -1.17, 
##     -2.62, -3.39, -3.53, -3.79, -3.9, -3.97, -4.05, -4.11, -4.09, 
##     -4.03, -3.23, -4.01, -4.19, -4.45, -4.4, -4.34, -4.22, -4.13, 
##     -3.84, -3.69, -3.56, -3.5, -3.42, -3.37, -3.29, -3.21, -3.2, 
##     -3.07, -2.92, -2.86, -2.57, -1.64, 0.82, 1.62, 1.86, -2.97, 
##     -2.71, -2.46, -2.33, -2.14, -1.91, -1.3, -0.51, 0.39, 0.75, 
##     1.27, 1.43, 1.59, 1.98, 2.26, 2.33, 2.41, 2.65, 2.84, 3.08, 
##     3.16, 2.95, 2.84, 3, 3.12, 3.15, 3.21, 3.32, 3.45, 3.39, 
##     3.37, 3.07, 2.92, 2.76, 2.65, 2.5, 2.46, 2.42, 2.46, 2.57, 
##     2.63, 2.52, 1.46, 0.67, 0.39, -4.01, -4.53, -4.58, -4.29, 
##     -4.29, -4.17, -4.08, -3.77, -3.68, -3.45, -3.36, -3.2, -2.84, 
##     -1.54, -0.88, -0.18, 0.87, 1.14, 1.35, 1.43, 1.48, 1.61, 
##     2.3, 2.54, -3.92, -3.89, -3.84, -3.89, -3.9, -3.85, -3.48, 
##     -3.29, -3.12, -2.91, -2.31, -2.06, -1.67, -1.35, -0.1, 0.37, 
##     0.98, 1.56, 1.85, 2.25, 2.54, 2.67, 2.97, -0.06, -0.06, -0.02, 
##     0.02, 0.03, 0.03, 0.03, 0, -0.02, -0.02, -0.05, -0.05, -0.1, 
##     -0.16, -0.32, -0.69, -1.38, -1.64, -1.89, -2.31, -2.83, -3, 
##     -3.23, -3.76, -4.01, -4.06, -4.05, -1.69, -1.99, -2.33, -2.78, 
##     -2.86, -2.95, -3.05, -2.87, -2.65, -2.5, -2.39, -2.39, -2.39, 
##     -2.42, -2.5, -2.49, -2.3, -2.18, -2.12, -2.02, -1.94, -1.75, 
##     -1.41, -0.53, 0.18, 0.45, 2.17, 2.18, 2.09, 1.96, 1.91, 1.88, 
##     1.83, 1.67, 1.3, 1.27, 1.2, 1.14, 0.88, 0.74, -0.22, -0.95, 
##     -1.22, -1.45, -1.69, -2.02, -2.2, -2.55, -2.86, -3.15, -3.24, 
##     1.94, 2.09, 2.18, 2.86, 2.95, 3.03, 3.2, 3.26, 3.28, 3.15, 
##     3.1, 2.95, 2.67, 2.59, 2.55, 2.65, 2.63, 2.62, 2.6, 2.57, 
##     2.25, 1.83, 0.9, 0.74, 0.29, 0.03, -0.37, -0.45, -0.63, -0.69, 
##     -0.72, -0.82, -0.93, -0.96, -1.19, -1.22, -1.46, -1.57, -1.57, 
##     -1.64, -1.67, -1.89, -1.98, -2.07, -2.09, -2.07, -2.04, -2.12, 
##     -2.12, -2.17, -2.15, -1.98, -1.51, -1, -0.48, -0.13, -0.03, 
##     0.08, 0.35, 0.53, 1, 1.12, 1.41, 1.56, 1.69, 1.65, 1.7, 1.75, 
##     1.67, 1.62, 1.61, 1.48, 1.27, 1.28, 1.28, 1.28, 1.25, 1.16, 
##     0.59, 0.22, 0.08, 0.06, 0.11, 0.02, -0.1, -0.35, -0.55, -0.61, 
##     -0.74, -0.87, -1.01, -1.19, -1.61, -1.69, -1.75, -1.89, -2.01, 
##     -2.02, -2.23, -2.46, -2.7, -2.79, -2.75, -2.67, -2.41, -2.12, 
##     -1.96, -1.77, -1.59, -1.14, -0.51, -0.13, 0.26, 0.31, 0.32, 
##     0.37, 0.53, 0.96, 1.25, 1.61, 1.75, 1.64, 1.62, 1.53, 1.49, 
##     1.73, 1.72, 1.77, 1.57, 1.12, 1.03, 0.95, 1.11, 1.08, 1.01, 
##     1, 0.95, 0.87, 0.55, 0.24, 0.18, 0, -0.11, -0.27, -0.31, 
##     -0.32, -0.35, -0.48, -0.58, -0.71, -1.06, -1.2, -1.49, -1.8, 
##     -2.22, -2.26, -2.3, -2.31, 1.78, 1.73, 1.61, 1.65, 1.69, 
##     1.51, 1.62, 1.64, 1.67, 1.27, 1, 0.71, 0.1, 0.08, 0.02, -0.16, 
##     -0.22, -0.31, -0.42, -0.75, -0.92, -1.14, -1.64, -2.06, -2.17, 
##     -2.25, -2.54, -2.62, -2.65, -2.73, -2.81, -2.86, -2.86, -2.78, 
##     -2.67, -2.47, -2.41, -2.25, -2.01, -1.7, -1.36, -0.67, -0.32, 
##     0.19, 0.4, 0.64, 0.87, 0.95, 1.14, 1.24, 1.54, 1.56, 1.86, 
##     1.56, 1.53, 1.65, 1.61, 1.72, 1.67, 1.64, 1.3, 1.16, 1.16, 
##     0.96, 0.61, 0.43, 0.26, 0.11, -0.06, -0.18, -0.22, -0.31, 
##     -0.34, -0.35, -0.43, -0.55, -0.66, -0.77, -0.9, -1.2, -1.4, 
##     -1.62, -1.77, -2.1, -2.46, -2.54, -2.52, -2.54, 0.93, 1.06, 
##     1.12, 1.53, 1.54, 2.01, 1.91, 2.2, 2.17, 2.06, 2.04, 1.89, 
##     1.75, 1.7, 1.43, 1.33, 1.25, 1.19, 1.11, 1.03, 0.92, 0.82, 
##     0.47, -0.18, -0.29, -0.4, -0.5, -0.72, -0.96, -1.2, -1.3, 
##     -1.56, -1.86, -2.3, -2.36, -2.42, -2.34, -2.44, -2.39, -2.12, 
##     -2.12, -2.02, -1.75, -1.64, -1.06, -0.26, 0.32, 0.5, 0.71, 
##     1.03, 1.06, 1.08, 1.22, 1.3, 1.27, 1.48, 1.61, 1.59, 1.69, 
##     1.77, 1.62, 1.56, 1.16, 1.04, 0.87, 0.82, 0.66, 0.63, 0.27, 
##     -0.19, -0.39, -0.48, -1.12, -1.33, -1.57, -1.77, -2.25, -2.36, 
##     -2.41, -2.57, -2.68, -2.75, -2.76, -2.78, -2.62, -2.65, -2.54, 
##     -0.9, -0.51, 0.05, 0.4, 1.09, 1.62, 1.57, 1.64, 1.91, 1.72, 
##     1.94, 1.61, 1.62, 1.65, 1.57, 1.51, 1.38, 1.14, 1.04, 1, 
##     0.85, 0.72, 0.55, 0.35, 0.26, -0.14, -0.19, -0.63, -0.79, 
##     -0.88, -1, -1.12, -1.43, -1.78, -2.14, -2.2, -2.25, -2.28, 
##     -2.36, -2.42, -2.55, -2.55, -2.67, -2.73, -2.73, -2.76, -2.84, 
##     -2.38, -2.1, 3.71, 3.5, 2.62, 1.89, 1.69, 1.45, 1.4, 0.64, 
##     0.45, -0.58, -1.2, -1.77, -1.96, -2.89, -2.95, -3.21, -3.89, 
##     -4.01, -4.14, -4.27, -4.37, -4.37, -4.34, -4.29, -4.03, -3.97, 
##     -3.77, -3.6, -3.55, -3.48, -3.4, -3.23, -3.13, -2.83, -2.75, 
##     -2.65, -2.42, -2.36, -2.26, -2.04, -1.22, -0.63, 0.16, 0.92, 
##     2.28, 2.52, 2.89, 2.95, 3.53, 3.9, 4.17, 4.08, 3.92, 3.77, 
##     3.47, 3.4, 3.36, 3.21, 3.23, 3.16, 3.03, 2.89, 2.71, 2.46, 
##     1.89, 1.78, 1.78, 1.78, 1.77, 0.58, -0.4, -0.56, -0.74, -2.1, 
##     -2.89, -3.39, -3.6, -3.76, -3.89, -4, -4.06, -4.13, -4.27, 
##     -4.38, -4.45, -4.42, -4.32, -4.17, -3.97, -3.45, -3.45, -3.42, 
##     -3.34, -3.18, -2.83, -2.62, -2.47, -2.2, -0.5, 1.3, 1.86, 
##     2.46, 3.21, 3.36, 3.47, 3.6, 3.82, 3.89, 4.17, 4.14, 4.01, 
##     3.92, 3.84, 2.87, 2.78, 2.67, 2.81, 3.07, 3.23, 3.32, 3.37, 
##     2.23, 0.95, 0.26, 0.03, -0.18, -0.4, -0.83, -1, -1.2, -1.43, 
##     -2.06, -2.38, -3.13, -3.31, -3.53, -3.66, -3.93, -4.08, -4.17, 
##     -4.26, -4.29, -4.3, -4.34, -4.29, -4.21, -4.13, -4.06, -3.89, 
##     -3.81, -3.66, -3.6, -3.55, -3.34, -3.24, -3.05, -2.54, -2.46, 
##     -2.17, -1.96, -0.8, -0.18, 0.48, 1.08, 1.89, 2.52, 2.67, 
##     2.81, 3.2, 3.31, 3.45, 3.55, 3.63, 4, 3.93, 3.82, 3.69, 3.69, 
##     3.44, -0.06, -0.06, -0.1, -0.11, -0.27, -0.85, -1.83, -2.04, 
##     -2.1, -2.79, -2.86, -2.89, -2.83, 1.25, 0.93, 0.67, 0.59, 
##     0.53, 0.47, 0.4, 0.34, 0.26, 0.16, -0.18, -0.26, -0.71, -0.93, 
##     -1.16, -1.36, -1.51, -1.72, -1.98, -3.21, -3.47, -3.52, -3.39, 
##     -2.89, -2.73, -2.39, -0.75, -0.39, 1.16, 1.89, 2.28, 2.46, 
##     2.7, 2.65, 2.68, 2.41, 2.41, 2.25, 2.33, 2.15, 1.81, 1.65, 
##     1.54, 0.9, 0.75, 0.61, 0.4, 0.16, 0.08, -0.11, -0.4, -0.75, 
##     -1, -1.25, -1.81, -2.04, -2.3, -2.39, -3.34, -3.32, -3.32, 
##     -3.29, -3.08, -3.07, -2.65, -2.22, -1.91, -1.53, -0.58, -0.26, 
##     1.57, 1.89, 2.18, 2.33, 2.36, 2.52, 2.55, 2.68, 2.63, 2.49, 
##     2.34, 2.54, 2.44, 2.5, 2.34, 1.14, 0.75, 0.58, 0.27, 0.14, 
##     -0.27, -0.51, -0.92, -1.09, -1.69, -2.25, -2.67, -2.86, -3, 
##     -3.45, -3.53, -3.53, -3.61, -3.61, -3.37, -3.31, -3.23, -3.15, 
##     -2.83, -1.33, -0.93, -0.1, 0.32, 0.71, 1.09, 2.04, 2.18, 
##     2.36, 2.67, 2.89, 2.94, 2.92, 3.29, 3.28, 3.13, 3.18, 3.12, 
##     2.84, 2.83, 2.79, 2.86, 2.63, 2.54, 1.99, 1.41, 0.71, 0.42, 
##     0.29, -0.53, -1.46, -1.96, -2.75, -3.05, -3.16, -3.2, -3.07, 
##     -2.92, -2.87, -2.73, -2.65, -2.41, -2.31, -2.15, -1.89, -1.38, 
##     -0.64, 0.24, 0.63, 1.04, 1.43, 1.75, 2.04, 2.28, 2.5, 2.73, 
##     2.86, 2.99, 3.02, -0.06, -0.26, -0.42, -0.59, -1, -1.2, -1.62, 
##     -1.83, -2.55, -2.99, -3.29, -3.44, -3.58, -3.73, -3.73, -3.69, 
##     -3.32, -3.28, -2.09, -1.33, -0.63, -0.22, 0.16, 0.55, 1.3, 
##     2.12, 2.3, 2.75, 2.97, 2.95, 2.91, 3.1, 2.94, 2.67, 2.55, 
##     2.63, 2.44, 2.31, 2.25, 2.14, 1.81, 1.16, 0.96, 0.82, 0.66, 
##     0.53, 0.39, 0.26, -0.14, -0.27, -1.01, -1.69, -2.15, -2.34, 
##     -2.84, -3.05, -3.89, -3.81, -3.71, -3.61, -3.52, -3.4, -3.2, 
##     -3.03, -2.99, -2.95, -2.92, -2.92, -2.84, -1.09, 0.19, 0.72, 
##     1.09, 1.33, 1.53, 1.7, 2.17, 2.42, 2.59, 2.78, 2.91, 2.92, 
##     3.1, 3.37, 3.39, 3.34, 3.23, 3.15, 3.02, 2.79, 2.73, 2.62, 
##     2.47, 2.33, 2.23, 2.07, 1.93, 1.83, 1.28, 0.93, 0.51, 0.32, 
##     0.11, -0.1, -0.29, -0.64, -1.14, -1.62, -1.86, -2.15, -2.39, 
##     -2.87, -3.82, -4.17, -4.16, -4.03, -3.92, -3.52, -3.36, -3.23, 
##     -3.13, -2.7, -2.62, -2.57, -2.5, -2.42, -2.31, -2.25, -2.04, 
##     -1.64, -1.33, -0.56, -0.13, 1.38, 1.83, 2.26, 2.94, 3.34, 
##     3.5, 3.68, 3.76, 3.68, 3.55, 3.39, 3, 2.95, 2.89, 2.87, 2.83, 
##     2.87, 2.81, 2.65, 2.55, 2.39, 2.26, 2.15, 2.07, 1.86, 1.22, 
##     1.03, 0.79, 0.56, 0.11, -0.32, -1.11, -2.15, -2.65, -3.37, 
##     -4.27, -4.8, -4.85, 3.15, 3.28, 3.34, 3.55, 3.34, 3.31, 3.24, 
##     3.16, 2.75, 2.65, 2.55, 2.42, 2.39, 2.18, 2.12, 1.4, 0.88, 
##     0.75, 0.61, 0.48, 0.27, 0.16, 0.11, 0.08, 0.03, 0, -0.02, 
##     -0.05, -0.03, -0.02, 0.02, 0.03, -0.02, -0.02, 0.05, 0.02, 
##     0.29, 0.31, 0.27, 0.24, 0.19, 0.18, 0.27, 0.26, 0.35, 0.19, 
##     0.1, 0.05, -0.03, -0.13, -0.24, -0.24, -0.21, -0.16, 0.03, 
##     0.1, 0.11, 0.13, 0.11, 0.06, 0.03, -0.03, -0.14, -0.08, -0.16, 
##     -0.13, -0.05, -0.05, -0.08, -0.08, -0.16, -0.05, 0, -0.03, 
##     0.03, 0.05, 0.05, 0.02, -0.02, -0.05, -0.02, -0.05, -0.1, 
##     0.27, 0.22, 0.18, 0.16, -0.13, -0.19, -0.14, -0.11, -0.05, 
##     0.22, 0.29, 0.26, 0.16, 0.11, 0.05, 0.02, 0.11, 0.11, 0.14, 
##     0.14, 0.11, 0.06, -0.06, -0.11, -0.31, -0.32, -0.27, -0.13, 
##     -0.1, -0.11, -0.11, -0.06, 0.08, 0.11, 0.13, 0.11, 0.1, 0.1, 
##     0.1, 0.11, 0.1, 0.06, 0.06, 0.08, 0.03, 0.03, 0.03, 0.03, 
##     0, 0, -0.03, -0.05, -0.06, -0.08, -0.1, -0.11, -0.42, -0.53, 
##     -0.67, -0.82, -0.95, -1.08, -1.32, -1.51, -1.61, -2.15, -2.12, 
##     -1.91, -1.81, -1.33, -1.35, -0.43, -0.14, 0.19, 1.2, 1.22, 
##     1.35, 1.43, 1.57, 1.88, 1.91, 2.1, 2.2, 2.14, 2.06, 1.88, 
##     1.61, 1.48, 1.32, 0.82, 0.53, 0.32, -0.11, -0.43, -0.75, 
##     -1.06, -2.01, -2.12, -2.22, -2.31, -2.31, -2.31, -2.33, -2.3, 
##     -2.31, -2.3, -2.5, -2.54, -2.41, -2.15, -1.43, -0.48, -0.19, 
##     0.16, 0.4, 0.66, 0.95, 1.22, 1.53, 1.86, 2.42, 2.41, 2.41, 
##     2.44, 2.39, 2.46, 2.44, 2.41, 2.25, 1.98, 1.7, 1.45, 1.3, 
##     1.04, 1.88, 1.94, 2.07, 2.04, 2.1, 2.28, 2.17, 2.28, 2.34, 
##     2.2, 2.15, 2.18, 2.06, 2.06, 2.01, 1.91, 0.77, 0.13, -1.72, 
##     -2.47, -2.54, -2.57, -2.62, -2.67, -2.6, -2.6, -2.71, -2.75, 
##     -2.6, -2.46, -2.23, -1.48, -1.22, -0.98, -0.59, -0.43, 0.19, 
##     0.66, 0.88, 1.85, 2.01, 2.02, 2.18, 2.3, 2.22, 2.22, 2.39, 
##     2.33, 2.36, 2.14, 2.07, 2.09, 1.88, 1.59, 1.24, 0.93, 0.74, 
##     0.35, 0.08, -0.13, -0.39, -0.69, -1.28, -1.56, -1.8, -2.23, 
##     -2.55, -2.83, -2.94, -3.02, -3, -2.99, -2.99, -2.97, -2.94, 
##     -2.79, -2.71, -2.57, -1.93, -1.73, -1.48, -0.93, -0.66, -0.13, 
##     0.13, 0.4, 0.69, 1.14, 1.48, 1.62, 1.7, 1.78, 2.59, 2.75, 
##     2.84, 2.87, 2.94, 2.97, 2.99, 2.94, 2.84, 2.49, 2.1, 1.94, 
##     1.77, -0.53, -1.64, -2.54, -2.73, -2.07, -1.59, -1.09, -0.59, 
##     1.08, 1.49, 2.1, 2.78, 2.84, 2.92, 3.52, 3.69, 4.16, 4.13, 
##     4.32, 3.77, 3.92, 3.73, 3.74, 3.68, 3.21, 2.89, 2.44, 1.93, 
##     1.45, 1.09, 0.92, 0.69, 0.59, 0.45, -0.18, -0.48, -0.8, -1.88, 
##     -2.28, -3.55, -4.16, -4.56, -4.82, -5.03, -4.99, -4.87, -4.77, 
##     -4.82, -4.24, -3.97, -3.31, -2.7, -2.1, -1.86, -1.57, -0.9, 
##     -0.56, 0.43, 0.87, 1.2, 1.53, 2.54, 2.94, 3.47, 3.71, 4.05, 
##     4.19, 4.06, 4.09, 4.54, 4.87, 4.42, 4.17, 4.27, 3.71, 3.74, 
##     3.45, 3.29, 3.18, 2.65, 2.06, 1.65, 0.82, 0.5, 0.27, -1.67, 
##     -2.87, -3.28, -3.68, -4.08, -4.5, -4.91, -4.78, -4.58, -4.54, 
##     -3.28, -3.1, -2.84, -2.62, -2.31, -1.51, -1, -0.42, 1.83, 
##     2.18, 3.18, 3.26, 3.64, 4.3, 3.87, 3.93, 3.6, 3.45, 3.39, 
##     3.23, 3.13, 2.95, 2.94, 2.65, 2.49, 2.28, 2.04, 1.75, 1.51, 
##     1.35, 1.08, 0.95, 0.61, 0.19, 0.03, 0.05, 0.03, 0.05, 0.05, 
##     0.02, -0.02, -0.03, -0.03, 0, 0.03, -0.02, -0.02, -0.02, 
##     0, -0.02, 0, -0.02, -0.05, -0.03, 0.03, -0.02, -0.02, 0, 
##     -0.03, -0.05, -0.08, -0.1, -0.1, -0.29, -0.43, -0.55, -0.61, 
##     -0.69, -1.16, -1.33, -1.51, -1.77, -2.12, -2.2, -2.6, -2.65, 
##     -2.59, -2.5, -2.47, -2.17, -1.49, -1.2, 0.56, 0.34, 0.37, 
##     0.39, 0.45, 0.56, 0.75, 1.65, 2.17, 2.34, 2.59, 2.36, 2.6, 
##     2.73, 2.18, 2.2, 2.28, 2.07, 1.86, 1.8, 0.88, 0.64, 0.42, 
##     0.29, 0.21, 0.08, -0.05, -0.22, -0.29, -0.5, -0.67, -0.83, 
##     -1.06, -1.7, -1.94, -2.12, -2.38, -2.71, -2.76, -2.86, -2.79, 
##     -2.91, -2.91, -2.47, -2.23, -1.8, -1.48, -0.06, 0.5, 0.61, 
##     0.53, 0.56, 0.83, 1.45, 1.56, 2.02, 2.57, 2.44, 2.94, 2.62, 
##     2.12, 1.89, 1.83, 1.75, 1.65, 1.56, 1.41, 1.19, 0.92, 0.69, 
##     0.27, 0.11, -0.16, -0.27, -0.61, -0.79, -1.8, -2.06, -2.28, 
##     -2.54, -3.4, -3.47, -3.64, -3.61, -3.39, -2.31, -1.89, 0, 
##     0.27, 0.56, 1.2, 1.59, 2.6, 2.5, 2.71, 2.84, 2.73, 2.52, 
##     2.12, 1.91, 0.87, 0.35, 0.14, -1.04, -1.27, -1.48, -1.72, 
##     -1.98, -3.12, -3.26, -3.39, -3.45, -3.37, -3.2, -3.05, -2.78, 
##     -2.49, -1.38, -0.98, -0.37, 0.08, 0.71, 1.04, 2.07, 2.41, 
##     2.83, 2.44, 2.57, 2.76, 2.75, 2.33, 2.47, 2.28, 2.12, 1.96, 
##     1.77, 1.61, 1.06, 0.88, 0.8, 0.75, 0.66, 0.42, 0.31, -0.24, 
##     -0.4, -1.16, -2.1, -3.15, -3.24, -3.42, -3.45, -3.53, -3.6, 
##     -3.53, -3.4, -3.26, -3.03, -2.3, -1.91, -0.51, 0.24, 0.85, 
##     1.78, 2.31, 2.89, 2.65, 3.37, 2.84, 2.7, 2.5, 2.59, 2.12, 
##     2.02, 1.51, 1, 0.26, 0.11, -0.06, -0.29, -0.5, -0.74, -1.16, 
##     -1.43, -3.45, -3.56, -3.58, -3.45, -3.32, -3.08, -3, -2.84, 
##     -2.55, -2.15, -1.69, -0.66, -0.19, 0.47, 0.93, 1.17, 1.28, 
##     1.61, 1.93, 2.28, 2.49, 2.33, 2.83, 2.68, 2.86, 2.78, 2.68, 
##     2.76, 2.2, 2.06, 1.72, 1.38, 1.14, 0.8, 0.61, 0.11, -0.08, 
##     -0.48, -1.24, -1.51, -2.84, -2.99, -3.1, -3.29, -3.48, -3.24, 
##     -2.06, -1.27, -0.88, -0.51, -0.22, 0.03, 1.08, 1.35, 1.77, 
##     1.85, 2.26, 2.44, 2.47, 2.54, 2.73, 2.92, 3.03, 2.68, 2.33, 
##     2.15, 2.1, 2.07, 1.81, 1.32, 0.47, 0.18, 0.02, -0.1, -0.47, 
##     -2.22, -2.42, -2.79, -2.99, -3.18, -3.63, -3.58, -3.42, -3.28, 
##     -2.63, -1.03, -0.5, -0.1, 0.74, 1.28, 1.94, 2.22, 2.22, 2.47, 
##     2.6, 2.22, 2.99, 2.55, 2.73, 2.83, 2.68, 2.39, 1.59, 1.14, 
##     0.95, 0.61, 0.29, 0, -0.29, -0.92, -1.17, -1.49, -3.28, -3.31, 
##     -3.4, -3.82, -3.42, -3.16, -3.02, -1.85, 1.16, 1.96, 2.39, 
##     2.54, 2.91, 3.24, 3.4, 3.16, 2.18, 2.09, 2.07, 1.99, 1.86, 
##     1.25, 0.83, 0.32, 0.1, -0.24, -0.45, -0.71, -1.53, -2.49, 
##     -2.76, -3.08, -3.52, -3.37, -3.37, -3.21, -2.89, -2.83, -2.65, 
##     0.43, 0.8, 0.88, 0.77, 0.71, 0.72, 0.8, 1.32, 1.4, 1.57, 
##     1.85, 2.02, 2.02, 2.1, 2.36, 2.31, 1.77, 1.83, 0, 0, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, 
##     -0.05, -0.03, -0.02, 0, -0.02, -0.06, -0.03, 0, -0.02, -0.02, 
##     -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0, 0, 0.02, 
##     0, 1.86, 2.2, 3, 3.58, 3.81, 3.97, 3.82, 4, 3.4, 3.61, 3.31, 
##     3.15, 2.3, 1.75, 1.54, 1.43, 1.01, 0.58, 0.13, -0.77, -1.27, 
##     -2.95, -3.32, -3.71, -4.03, -4.61, -5.01, -4.83, -4.82, -4.82, 
##     -4.37, 3.34, 2.89, 2.63, 2.28, 2.04, 1.86, 1.85, 1.73, 1.77, 
##     1.65, 1.51, 1.28, 1.24, 1.2, 1.19, 1.24, 1.3, 1.22, 0.96, 
##     0.77, 0.64, 0.58, 0.53, 0.43, 0, -0.27, -0.9, -1.28, -1.75, 
##     -1.88, -2.23, 1.83, 1.69, 1.67, 1.72, 1.64, 1.46, 1.32, 1.27, 
##     1.03, 1.08, 1.01, 1.01, 1.04, 1.01, 1, 0.83, 0.77, 0.71, 
##     0.53, 0.4, 0.31, 0.1, -1, -0.9, -0.77, -0.61, -0.39, -0.27, 
##     -0.08, 0.02, 0.48, 0.69, 1.06, 1.25, 1.45, 2.42, 3.66, 3.92, 
##     4.26, 4.54, 4.7, 4.74, 4.87, 4.78, 4.43, 4.16, 4.06, 3.58, 
##     3.42, 3.45, 2.47, 2.25, 1.99, 1.8, 1.45, 1.24, 1.11, 1.06, 
##     1.11, 0.77, 0.61, 0.35, 0.29, 0.27, 0.27, 0.31, 0.29, 0.27, 
##     0.31, 0.34, 0.39, 0.43, 0.42, 0.45, 0.45, 0.45, 0.42, 0.43, 
##     0.4, 0.42, 0.43, 0.39, 0.35, 0.4, 0.45, 0.48, 0.39, 0.4, 
##     0.45, 0.47, 0.42, 0.45, 0.69, 0.5, 0.27, 0.13, 0.14, 0.14, 
##     0.1, -0.1, -0.13, -0.06, 0.03, 0.06, -0.05, -0.08, -0.1, 
##     0.02, 0.14, 0.14, 0.11, 0.16, 0.24, 0.26, 0.27, -0.13, -0.1, 
##     -0.11, -0.18, -0.24, -0.43, -0.96, -1.14, -1.3, -1.43, -1.56, 
##     -1.96, -2.06, -2.42, -2.41, -2.12, -1.91, -1.61, -1.45, -1.28, 
##     -1.12, -0.5, -0.4, -0.14, 0, 0.11, 0.22, 0.26, 0.32, 0.34, 
##     0.35, 0.4, 0.5, 0.61, 0.72, 0.83, 0.98, 1.33, 1.61, 1.94, 
##     2.04, 2.1, 2.15, 1.83, 1.8, 1.78, 1.72, 1.62, 1.56, 1.38, 
##     1.32, 1.35, 1.25, 1.12, 1, 1, 0.9, 0.8, 0.79, 0.75, 0.75, 
##     0.75, 0.79, 0.87, 0.9, 0.83, 0.87, 0.9, 0.88, 0.69, 0.63, 
##     0.58, 0.48, 0.4, 0.32, 0.22, -0.02, -0.66, -1.04, -1.4, -1.56, 
##     -1.69, -1.78, -2.04, -2.09, -2.04, -1.98, -1.91, -1.85, -1.75, 
##     -1.77, -1.56, -1.46, -1.12, -1.09, -0.96, -0.9, -0.9, -0.85, 
##     -0.71, -0.64, -0.47, 0, 0.19, 0.27, 0.34, 0.39, 0.58, 0.74, 
##     0.87, 1, 1.22, 1.38, 1.49, 1.85, 1.91, 1.93, 2.1, 2.09, 0.47, 
##     0.48, 0.45, 0.42, 0.39, 0.29, 0.21, 0.13, -0.27, -0.51, -0.87, 
##     -0.93, -1.14, -1.3, -1.41, -1.51, -1.61, -1.69, -1.72, -1.91, 
##     -1.98, -1.98, -1.98, -2.01, -2.01, -1.91, -1.09, -1.03, -0.88, 
##     -0.58, -0.37, -0.14, -0.06, 0.06, 0.14, 0.21, 0.27, 0.42, 
##     0.47, 0.75, 0.88, 1, 1.17, 1.28, 1.51, 1.61, 1.8, 1.99, 2.06, 
##     2.07, 2.14, 2.18, 2.3, 2.14, 2.12, 1.99, 1.89, 1.88, 1.54, 
##     1.36, 1.3, 1.24, 1.2, 1.16, 1.06, 0.96, 0.92, 0.9, 0.83, 
##     0.8, 0.39, 0.24, 0.26, 0.22, 0.18, 0.11, -0.43, -1.12, -1.61, 
##     -1.69, -1.85, -1.91, -1.93, -1.89, -1.93, -1.96, -1.83, -1.78, 
##     -1.69, -1.62, -1.56, -1.49, -1.38, -1.32, -1.24, -0.64, -0.26, 
##     0.03, 0.14, 0.29, 0.39, 0.42, 0.59, 0.67, 0.74, 0.8, 0.93, 
##     1.11, 1.46, 1.89, 2.01, 2.26, 2.34, 2.41, 2.44, 2.31, 2.28, 
##     2.23, 2.01, 1.32, 1.24, 1.11, 1.08, 0.96, 0.87, 0.83, 0.79, 
##     0.74, 0.69, 0.67, 0.67, 0.61, 0.5, 0.42, 0.34, 0.22, 0.11, 
##     -0.35, -0.48, -0.71, -0.87, -1.06, -1.19, -1.33, -1.48, -1.64, 
##     -1.85, -2.01, -1.96, -1.81, -1.59, -1.17, -1.04, -0.93, -0.85, 
##     -0.77, -0.67, -0.37, -0.31, -0.24, -0.19, -0.19, -0.18, -0.11, 
##     0.08, 0.22, 1.08, 0.98, 0.8, 0.75, 0.63, 0.58, 0.51, 0.43, 
##     0.35, 0.27, 0.1, 0.05, -0.03, -0.11, -0.31, -0.77, -0.95, 
##     -1.09, -1.2, -1.3, -1.61, -1.72, -1.75, -1.8, -1.83, -1.86, 
##     -1.93, -1.96, -1.99, -1.93, -1.86, -1.77, -1.75, -1.7, -1.64, 
##     -1.48, -1.43, -1.12, -0.79, -0.61, -0.47, -0.35, -0.08, 0.21, 
##     0.24, 0.31, 0.31, 0.34, 0.43, 0.64, 1, 1.27, 1.91, 2.46, 
##     2.49, 2.36, 2.25, 2.15, 2.01, 1.98, 1.72, 1.73, 1.8, 1.81, 
##     1.78, 1.48, 1.2, 1, 0.87, 0.72, 0.5, 0.4, 0.29, 0.14, 0.1, 
##     0.05, -0.03, -0.29, -0.45, -0.83, -1.03, -1.51, -1.73, -1.99, 
##     -2.02, -2.09, -2.1, -2.1, -2.14, -1.8, -1.69, -1.57, -1.46, 
##     -1.35, -1.19, -0.83, -0.66, -0.35, -0.11, 0.21, 0.24, 0.27, 
##     0.34, 0.37, 0.56, 0.92, 1.56, 1.78, 2.34, 2.33, 2.18, 2.04, 
##     1.99, 1.93, 1.89, 1.89, 1.93, 1.75, 1.69, 1.53, 1.27, 1.25, 
##     1.16, 1.14, 1.14, 1.06, 0.98, 0.88, 0.63, 0.51, 0.27, 0.22, 
##     0.18, 0.08, 0.06, -0.11, -0.34, -0.53, -0.67, -0.82, -1.46, 
##     -1.57, -1.81, -1.88, -1.94, -1.93, -1.91, -1.65, -1.61, -1.4, 
##     -1.4, -1.11, -0.92, -0.66, -0.58, -0.29, -0.11, 0.53, 0.63, 
##     0.69, 0.69, 0.66, 0.63, 0.8, 0.88, 1.01, 1.28, 1.46, 1.65, 
##     1.83, 2.14, 2.3, 2.42, 2.34, 2.42, 2.18, 2.1, 2.04, 1.91, 
##     1.75, 1.54, 1.2, 1.28, 1.25, 1.22, 1.14, 1.12, 1.12, 1.08, 
##     0.51, 0.63, 0.93, 1.2, 1.77, 1.89, 2.1, 2.15, 2.17, 2.28, 
##     2.39, 2.18, 2.09, 1.62, 1.59, 1.43, 1.41, 1.4, 1.33, 1.24, 
##     2.2, 2.02, 2.09, 1.89, 1.61, 1.51, 1.22, 1.16, 0.85, 0.8, 
##     0.82, 0.8, 0.69, 0.67, 0.51, 0.51, 0.45, 0.32, 0.31, 0.26, 
##     0.22, 0.16, 0.16, 0.22, 0.34, 0.4, 0.35, 0.27, 0.29, 0.31, 
##     0.31, 0.29, 0.31, 0.32, 0.32, 0.32, 0.29, 0.22, 0.19, 0.18, 
##     0.13, 0.03, -0.03, -0.08, -0.1, -0.16, -0.39, -0.61, -1.19, 
##     -1.4, -2.26, -2.44, -2.63, -2.83, -3.48, -3.61, -3.56, -3.48, 
##     -3.45, -3.36, -3.24, -3, -2.92, -2.62, -2.46, -2.2, -1.65, 
##     -1.3, -1.16, -0.82, -0.72, -0.61, -0.48, -0.39, -0.08, 0.19, 
##     0.27, 0.31, 0.92, 1.32, 1.77, 1.99, 3.24, 3.68, 3.47, 3.05, 
##     3.1, 3.07, 2.89, 2.28, 2.07, -2.34, -2.52, -2.68, -2.81, 
##     -2.84, -2.86, -2.84, -2.81, -2.76, -2.67, -2.25, -2.15, -2.06, 
##     -1.96, -1.75, -1.48, -1.41, -1.22, -0.87, -1.4, -1.27, -1.16, 
##     -1.17, -1.22, -1.16, -0.95, -0.87, -0.63, -0.56, -0.47, -0.22, 
##     0.13, 0.55, 0.92, 1.38, 1.46, 1.49, 1.93, 1.89, 1.91, 1.93, 
##     1.91, 1.3, 1.16, 0.96, 0.87, 0.74, 0.64, 0.53, 0.24, -0.27, 
##     -0.47, -0.64, -1.27, -1.48, -1.61, -1.77, -1.93, -2.23, -2.47, 
##     -2.55, -2.67, -2.68, -2.52, -2.49, -2.38, -1.85, -1.78, -1.73, 
##     -1.54, -1.4, -1.28, -1.2, -1.16, -1.11, -0.79, -0.64, -0.37, 
##     -0.22, -0.03, 0.11, 0.24, 0.42, 0.53, 0.9, 1, 1.28, 1.69, 
##     1.85, 1.98, 2.07, 2.17, 2.28, 2.38, 2.49, 2.57, 2.62, 2.71, 
##     2.83, 3, 3.21, 3.12, 3.15, 3.05, 2.97, 2.91, 2.87, 2.7, 2.54, 
##     2.54, 2.44, 2.01, 1.99, 1.53, 1.53, 1.59, 1.64, 1.59, 1.56, 
##     1.36, 1.12, 0.72, 0.55, -0.03, -0.37, -0.67, -1.45, -1.77, 
##     -1.86, -2.02, -2.22, -2.76, -3.12, -2.97, -2.84, -2.76, -2.65, 
##     -2.47, -2.34, -2.26, -2.17, -2.09, -1.94, -1.88, -1.61, -1.51, 
##     -1.4, -1.32, -1.2, -1.06, -1.12, -1.16, -1.17, -1.17, -0.96, 
##     -0.51, -0.19, 0.39, 0.63, 0.82, 0.93, 1.06, 1.16, 1.35, 1.61, 
##     1.81, 2.34, 2.59, 2.68, 2.81, 2.94, 2.95, 2.68, 2.63, 2.34, 
##     2.39, 2.38, 2.39, 2.52, 2.6, 2.67, 2.75, 2.41, 2.25, 2.12, 
##     2.14, 2.14, 2.12, 2.14, 2.12, 1.94, 1.81, 1.64, 1.45, 1.27, 
##     0.92, 0.66, 0.56, 0.16, -0.02, -0.34, -0.55, -1, -1.12, -1.73, 
##     -2.3, -2.42, -2.5, -0.61, 0, 0.1, 0.27, 0.45, 0.56, 0.67, 
##     0.75, 0.83, 0.9, 1.01, 1.12, 1.25, 1.35, 1.56, 1.75, 1.83, 
##     1.93, 2.23, 2.42, 2.54, 2.92, 2.97, 2.94, 0.43, -0.43, -0.5, 
##     -0.66, -0.67, -0.69, -0.72, -0.85, -1, -1.16, -1.59, -1.77, 
##     -1.81, -1.88, -1.89, -1.94, -1.99, -2.04, -1.99, -2.01, -1.91, 
##     -1.73, -1.78, -1.73, -1.56, -1.11, -1.11, -0.93, -0.87, -0.63, 
##     -0.1, 0.11, 0.55, 0.95, 1.2, 1.25, 1.4, 1.43, 1.49, 1.62, 
##     1.65, 1.86, 1.8, 1.88, 1.8, 1.85, 1.81, 1.81, 1.88, 1.89, 
##     1.72, 1.64, 1.48, 1.45, 1.43, 1.36, 1.24, 1.2, 0.9, 0.83, 
##     0.03, -0.1, -0.35, -0.47, -0.79, -1.17, -1.38, -1.53, -1.89, 
##     -1.94, -1.85, -1.72, -1.49, -1.41, -1.4, -1.22, -1.16, -1.06, 
##     -1.01, -0.93, -0.74, -0.64, -0.53, -0.42, -0.39, -0.14, -0.03, 
##     0.03, 0.11, 0.26, 0.58, 0.75, 0.88, 0.96, 1.01, 1.08, 1.09, 
##     1.24, 1.45, 1.54, 1.65, 1.64, 1.65, 1.53, 1.45, 1.41, 1.4, 
##     1.35, 1.36, 1.43, 1.48, 1.61, 1.78, 1.73, 1.62, 1.51, 1.48, 
##     1.48, 1.49, 1.49, 1.49, 1.11, 0.93, 0.48, -0.61, -0.95, -1.32, 
##     -1.93, -1.96, -1.91, -1.78, -1.62, -1.54, -1.41, -1.35, -1.3, 
##     -1.28, 1.8, 1.78, 1.8, 1.8, 1.78, 1.86, 1.83, 1.7, 1.62, 
##     1.57, 1.56, 1.57, 1.59, 1.57, 1.43, 1.33, 1.25, 1.24, 0.9, 
##     0.14, -0.47, -0.96, -1.14, 0.72, 0.82, 1, 1.08, 1.46, 1.45, 
##     1.49, 1.69, 1.72, 1.8, 1.88, 1.93, 1.99, 2.01, 1.94, 1.94, 
##     1.94, 1.88, 1.86, 1.81, 1.72, 1.7, 1.86, 1.86, 1.86, 1.89, 
##     1.81, 1, 0.9, 0.74, 0.59, 0.45, 0.29, 0.11, -0.75, -1.4, 
##     -1.49, -1.64, -1.8, -1.91, -2.06, -1.89, -1.67, -1.54, -1.28, 
##     -1.2, -0.98, -0.92, -0.88, -0.92, -0.88, -0.83, -0.75, -0.8, 
##     -0.77, -0.64, -1.46, -1.57, -1.77, -1.93, -1.96, -1.96, -1.96, 
##     -1.91, -1.88, -1.86, -1.75, -1.72, -1.41, -1.28, -1.12, -1.01, 
##     -0.87, -0.58, 0.32, -1.27, -1.16, -1.08, -0.87, -0.29, 0.18, 
##     0.32, 0.61, 0.79, 0.8, 0.9, 1.01, 1.04, 1.06, 1.22, 1.27, 
##     1.51, 1.57, 1.65, 1.69, 1.69, 1.73, 1.78, 1.77, 2.89, 2.73, 
##     2.65, 2.63, 2.62, 2.52, 2.36, 2.3, 2.23, 2.23, 1.89, 1.56, 
##     1.35, 1.24, 0.93, 0.77, 0.63, 0.5, -3.05, -3.15, -3.21, -3.28, 
##     -3.34, -3.37, -3.28, -2.83, -2.75, -2.62, -2.36, -2.26, -2.15, 
##     -2.04, -1.83, -1.7, -0.88, -0.59, -0.58, -0.66, -0.79, -0.79, 
##     -0.69, 1.7, 1.8, 1.77, 1.81, 2.01, 2.02, 2.1, 2.23, 2.34, 
##     2.76, 2.87, 2.81, 2.68, 2.65, 2.71, 2.68, 2.5, 2.41, 2.2, 
##     2.1, 2.01, 2.01, 2.1, 2.09, 1.98, 1.94, 0.03, -0.02, -0.18, 
##     -0.26, -1.35, -1.7, -2.28, -3.32, -3.56, -3.79, -4.26, -3.85, 
##     -3.63, -3.34, -3.08, -2.87, -2.79, -2.63, -2.36, 0.4, 0.93, 
##     1.86, 1.4, 1.19, 0.69, 0.26, -0.11, -0.14, -0.16, -0.31, 
##     -0.42, -0.4, -0.37, -0.32, 0.03, 0.08, 0.06, 0.13, 0.1, -0.02, 
##     -0.02, -0.82, -0.74, -0.56, -0.43, -0.31, -0.18, -0.11, -0.08, 
##     -0.05, 0.02, 0.11, 0.24, -0.02, -0.02, 0.02, 0, 0, 0.05, 
##     0.05, 0.03, 3.08, 3.05, 2.83, 2.76, 2.6, 2.79, 2.59, 2.42, 
##     2.54, 2.44, 2.3, 2.06, 1.93, 1.56, 0.85, 0.72, 0.51, 0.43, 
##     -2.59, -2.01, -1.09, -0.72, -0.35, 1.12, 1.43, 1.81, 1.93, 
##     2.36, 2.38, 2.57, 2.34, 2.3, 2.34, 2.22, 2.22, 2.42, 2.38, 
##     2.15, 2.15, 1.96, 1.56, 1.53, 1.51, 1.48, 3.42, 3.45, 3.2, 
##     3.05, 2.87, 2.92, 2.87, 3, 2.86, 2.87, 2.87, 2.75, 2.34, 
##     2.06, 1.78, 1.33, 1.01, 0.59, 0.53, 0.39, 0.34, 0.22, 0.05, 
##     -0.08, -0.18, -0.21, -0.21, -0.14, -0.03, 0.63, 0.14, -0.18, 
##     -0.24, -0.48, -1.14, -1.96, -2.18, -2.39, -2.7, -2.91, -2.89, 
##     -2.83, -2.81, -2.63, -2.39, -2.04, -0.79, -0.42, -0.03, 0.34, 
##     -2.6, -2.6, -2.57, -2.46, -2.42, -2.1, -1.67, -0.71, -0.48, 
##     0.24, 0.4, 0.69, 1.2, 1.45, 1.69, 1.54, 1.88, 1.85, 1.88, 
##     2.07, 2.09, 1.96, 1.94, 1.85, 1.72, 1.25, 1.01, 1.03, 1.12, 
##     1.14, 1.11, -2.31, -2.36, -2.47, -2.49, -2.5, -2.38, -2.3, 
##     -2.06, -1.75, -0.92, -0.67, -0.47, -0.24, 0.22, 0.56, 0.77, 
##     0.93, 1.04, 1.2, 1.2, 1.2, 1.3, 1.72, -2.41, -2.26, -2.15, 
##     -1.83, -1.3, -1, -0.67, -0.19, -0.02, 0.16, 0.39, 0.37, 0.42, 
##     0.59, 1.3, 1.48, 1.61, 1.67, 1.73, 1.54, 1.61, 1.22, 1.04, 
##     0.93, 0.32, 0.14, 0.08, -0.11, -0.26, -0.31, -0.43, -0.71, 
##     -1.14, -1.53, -1.8, -1.93, -2.55, -2.65, -2.87, -2.84, -2.86, 
##     -2.67, 0.88, 0.45, -2.22, -2.36, -2.38, -2.36, -2.3, -2.18, 
##     -2.15, -2.15, -2.18, -2.23, -2.22, -2.26, -2.25, -2.18, -2.1, 
##     -1.94, -1.53, -1.12, -0.88, -0.63, -0.35, -0.03, 0.27, 0.58, 
##     0.87, 1.12, 1.48, 1.59, -4.77, -4.64, -3.93, -3.73, -3.03, 
##     -2.87, -2.78, -2.67, -2.49, -2.42, -2.33, -2.2, -1.96, -1.67, 
##     -0.53, 0.45, 0.64, 1.43, 1.83, 2.34, 2.59, 2.87, -1.09, -1.24, 
##     -1.33, -1.78, -1.86, -1.98, -2.01, -2.1, -2.12, -2.14, -2.17, 
##     -2.14, -2.04, -1.96, -1.93, -1.94, -1.96, -1.98, -1.91, -1.83, 
##     -1.69, -0.43, 0.08, 1.36, 1.48, 1.53, 1.41, 1.41, 1.4, 1.38, 
##     1.53, 1.65, 1.8, 2.04, 2.14, 2.41, 2.34, 2.34, 2.31, 2.26, 
##     1.89, 1.67, 1.41, 1.16, 0.59, 0.31, -0.56, -1.36, -1.67, 
##     -2.14, -2.23, -2.3, -2.41, -2.42, -2.42, -2.39, -2.34, -2.31, 
##     -2.36, -2.39, -2.39, -2.52, -2.57, -2.59, -0.51, 0.06, 1.16, 
##     1.32, 1.59, 1.77, 1.75, 1.77, -2.75, -2.71, -2.68, -2.22, 
##     -2.07, -1.96, -1.81, -1.4, -0.08, 0.75, 1.64, 1.72, 1.7, 
##     2.1, 2.2, 2.17, 2.18, 2.12, 2.12, 2.25, 2.2, 2.17, 1.8, 1.64, 
##     1.04, 0.82, 0.59, 0.16, -0.11, -0.37, -0.64, -1.14, -1.73, 
##     -1.89, -2.22, -2.36, -2.54, -2.57, -2.6, -2.55, -2.65, -2.68, 
##     -2.68, -2.75, -2.81, -2.84, -2.84, -2.59, -2.3, -1.73, -0.92, 
##     -0.05, 0.98, 1.27, 1.53, 1.7, 1.98, 2.23, 2.22, 2.41, 2.49, 
##     2.47, 2.28, 2.41, 2.44, 2.46, 2.55, 2.57, 2.5, 2.39, 2.15, 
##     1.99, 1.77, 1.57, -0.55, 0.67, 0.92, 1.24, 1.33, 1.51, 1.65, 
##     1.59, 1.73, 1.8, 1.64, 1.57, 1.72, 1.77, 1.67, 1.65, 1.59, 
##     1.46, 1.41, 1.45, 1.35, 0.27, 0.14, -0.05, -0.19, -0.27, 
##     -0.35, -0.34, -0.75, -1.17, -1.24, -1.3, -1.54, -2.02, -2.23, 
##     -2.22, -2.38, -2.46, -2.65, -2.65, -2.67, -2.75, -2.73, -2.59, 
##     -2.6, -2.36, -1.64, -0.82, -0.63, -0.35, -0.21, 0.06, 0.14, 
##     0.1, -0.27, -0.51, -0.77, -1, 1.62, 0.93, 0.59, 0.1, -0.06, 
##     -0.18, -0.18, -0.18, -0.19, -0.21, -0.34, -0.43, -0.55, -0.67, 
##     -0.74, -0.82, -1.04, -1.24, -1.61, -1.69, -1.8, -1.93, -2.01, 
##     -2.12, -2.2, -2.84, -2.99, 0.14, 1.75, 1.96, 2.09, 2.04, 
##     2.07, 2.04, 1.86, 1.64, 1.56, 1.4, 1.36, 1.24, 1.28, 1.2, 
##     1, 0.63, 0.21, -0.05, -0.24, -0.4, -0.45, -0.55, -0.79, -0.93, 
##     -1.04, -1.19, -1.96, -2.31, -2.86, -3.21, -3.29, -3.29, -3.29, 
##     -3.24, -3.18, -2.63, -1.86, -1.53, -1.09, -0.1, 0.31, 1.11, 
##     1.41, 1.75, 1.85, 1.91, 2.01, -0.24, -0.77, -1.04, -1.75, 
##     -1.89, -2.04, -2.17, -2.41, -2.89, -3.05, -3.26, -3.31, -3.2, 
##     -3.12, -3, -2.18, -1.75, -0.72, 0.34, 0.95, 1.35, 1.41, 1.45, 
##     1.67, 1.7, 1.64, 1.72, 1.73, 1.72, 1.83, 1.73, 1.75, 1.73, 
##     1.65, 1.57, 1.54, 1.62, 1.48, 1.06, 0.79, 0.43, -0.02, -0.1, 
##     -0.21, -0.26, -0.63, -1.01, -1.16, -1.43, -2.2, -2.39, -2.47, 
##     -2.59, -2.59, -2.63, -2.75, -2.67, -2.57, -2.47, -2.07, -1.51, 
##     -1.16, -0.79, -0.32, 0.14, 0.51, 0.87, 1.38, 1.51, 2.12, 
##     2.22, 2.28, 2.33, -1.08, -0.19, 0.95, 1.25, 1.59, 1.62, 1.64, 
##     1.86, 1.86, 1.78, 1.81, 1.89, 1.93, 2.02, 2.06, 1.94, 1.99, 
##     1.85, 1.77, 1.83, 1.78, 1.56, 1.61, 1.61, 1.06, 0.64, 0.51, 
##     0.34, 0.19, -0.1, -0.14, -0.21, -0.29, -0.37, -0.42, -0.42, 
##     -0.45, -0.63, -0.67, -0.83, -1.06, -1.22, -1.53, -1.96, -2.09, 
##     -2.18, -2.26, -2.3, -2.34, -2.38, -2.44, -2.47, -2.36, -2.36, 
##     -2.31, -2.31, -2.25, -2.06, -1.81, -1.48, -0.06, -0.13, -0.22, 
##     -0.31, -0.55, -0.67, -0.96, -1.12, -1.59, -1.73, -1.88, -2.5, 
##     -2.67, -2.67, -2.62, -2.6, -2.55, -2.18, -1.99, -1.27, -0.79, 
##     0.16, 0.5, 0.79, 1.19, 2.04, 2.09, 2.12, 2.25, 2.1, 2.18, 
##     1.98, 1.94, 1.67, 1.48, 1.43, 1.28, 1.17, 1.09, 0.74, 0.59, 
##     0.45, 0.29, 0.18, 0.03, -0.06, -0.22, -0.32, -0.43, -0.53, 
##     -0.66, -0.98, -1.08, -1.3, -1.67, -2.17, -2.54, -2.75, -2.86, 
##     -2.87, -2.91, -2.95, -2.95, -2.95, -2.79, -2.6, -2.23, -0.14, 
##     1.08, 1.33, 1.54, 1.81, 2.06, 2.14, 2.22, 2.36, 2.33, 2.18, 
##     2.25, 2.26, 2.02, 1.62, 1.22, 0.31, -0.51, -0.87, -1.01, 
##     -1.17, -1.46, -1.86, -2.17, -2.39, -2.49, -2.89, -2.92, -3.02, 
##     -3.1, -3.07, -2.97, -2.84, -2.67, -2.3, -1.09, -0.32, 0.32, 
##     0.82, 1.16, 1.73, 1.81, 1.99, 1.99, 2.22, 2.23, 2.33, 1.94, 
##     1.49, 0.59, 0.79, 0.87, 1.08, 1.12, 1.43, 1.43, 1.78, 1.77, 
##     1.98, 1.94, 1.99, 2.12, 1.91, 1.93, 1.85, -1.46, -1.12, -1.01, 
##     -0.66, -0.59, -0.45, -0.16, 0.13, 0.32, -0.22, -0.27, -0.24, 
##     -0.19, 0.35, 0.51, 0.72, 1.98, 1.99, 1.99, 2.14, 2.28, 2.17, 
##     2.09, 2.14, 2.28, 2.73, 2.31, 2.12, 1.88, 1.77, 1.65, 1.41, 
##     0.83, 0.13, -0.11, -0.42, -1.11, -2.23, -2.54, -2.65, -2.54, 
##     -2.2, -1.41, -1.12, -0.9, -0.66, -0.45, 0.13, 0.14, 0.16, 
##     0.13, 0.11, 0.06, -0.06, -0.13, -0.21, -0.53, -0.85, -1.19, 
##     -1.35, -1.45, -1.49, -1.46, -1.33, -1.25, -1.24, -1.17, -1.16, 
##     -1.16, -1.14, -0.75, -0.22, 0.08, 0.59, 0.77, 0.95, 1.09, 
##     1.14, 1.3, 1.51, 1.67, 1.77, 1.86, 1.94, 2.36, 2.23, 2.1, 
##     2.04, 1.85, 1.65, 1.43, 1.73, 1.7, 1.8, 1.77, 1.75, 1.65, 
##     1.61, 1.57, 1.43, 1.45, 1.43, 1.32, 1.19, 0.63, 0.45, -0.59, 
##     -0.8, -0.87, -1.06, -1.16, -1.27, -1.45, -1.53, -1.64, -1.75, 
##     -1.86, -1.72, -1.54, -1.4, -1.38, -1.36, -1.32, -1.27, -1.28, 
##     -1.27, -1.27, -1.17, -1.11, -0.63, -0.21, 0.18, 0.82, 0.9, 
##     0.95, 1.32, 1.38, 1.7, 1.8, 1.88, 2.15, 2.1, 2.12, 2.17, 
##     1.81, 1.75, 1.72, 1.46, 1.41, 1.28, 1.17, 1.04, 0.88, 0.74, 
##     0.53, 0.34, -0.03, -0.18, -0.31, -0.48, -0.63, -0.79, -0.9, 
##     -1.12, -1.45, -1.49, -1.53, -1.51, -1.72, -1.72, -1.8, -1.3, 
##     -1.22, -1.08, -0.98, -0.95, -0.92, -0.9, -0.9, -0.85, -0.83, 
##     -0.8, -0.77, -0.69, -0.63, -0.11, 0.27, 0.58, 0.82, 1.43, 
##     1.53, 1.61, 1.77, 1.77, 1.8, 1.83, 1.91, 1.89, 1.99, 2.02, 
##     1.89, 1.8, 1.73, 1.56, 1.61, 1.53, 1.09, 0.79, 0.67, 0.27, 
##     0.18, -0.11, -0.47, -0.58, -0.75, -0.9, -1.04, -1.4, -1.69, 
##     -1.75, -1.78, -1.77, -1.61, -1.56, -1.45, 1.88, 2.04, 2.06, 
##     2.06, 2.1, 2.15, 1.91, 1.78, 1.67, 1.59, 1.38, 1.33, 0.79, 
##     0.64, 0.32, 0, -0.14, -0.24, -0.32, -0.43, -0.51, -1.06, 
##     -1.2, -1.25, -1.43, -1.78, -1.73, -1.12, -1.09, -1.11, -1.14, 
##     -1.12, -1.12, -1.08, -0.96, -0.87, -0.75, -0.48, -0.35, -0.22, 
##     -0.06, 0.27, 0.51, 0.69, 0.75, 0.8, 1.11, 1.85, 2.06, 2.14, 
##     2.33, 2.39, 1.89, 1.93, 1.86, 1.75, 1.67, 1.7, 1.65, 1.67, 
##     1.64, -3.5, -3.66, -3.69, -3.71, -3.66, -3.5, -3.37, -3.13, 
##     -2.99, -2.41, -2.02, -1.25, -0.43, 0.45, 1.24, 1.86, 2.41, 
##     2.68, 2.92, 3.16, 3, 3.05, 2.76, 2.87, 2.75, 2.71, 2.63, 
##     2.49, 2.39, 2.38, 2.31, 1.96, 1.8, 1.17, 0.72, 0.13, 0.03, 
##     -0.1, -0.53, -0.77, -1.01, -1.53, -1.77, -2.18, -2.34, -2.68, 
##     -2.87, -3.05, -3.42, -3.53, -3.45, -3.4, -3.13, -2.97, -2.89, 
##     -2.62, -2.46, -2.23, -1.3, -0.93, -0.61, -0.34, -0.05, 0.31, 
##     0.69, 1.38, 1.77, 2.78, 2.89, 3.03, 2.92, 2.73, 2.92, 2.71, 
##     2.55, 2.6, 2.63, 2.6, 2.65, 2.75, 2.73, 2.46, 2.17, 1.83, 
##     1.25, 0.88, 0.5, -0.14, -0.35, -0.51, -0.66, -0.85, -1.11, 
##     -1.57, -1.85, -2.07, -2.3, -2.46, -2.6, -3.07, -3.15, -3.16, 
##     -3.31, -3.18, -3.1, 2.12, 1.93, 1.62, 1.53, 1.51, 0.87, 0.69, 
##     0.45, 0.4, 0.11, 0.06, -0.02, -0.14, -0.19, -0.31, -0.43, 
##     -0.71, -0.87, -1.04, -1.46, -1.53, -1.69, -1.86, -2.2, -2.31, 
##     -2.42, -2.65, -2.7, -2.73, -2.7, -2.78, -2.86, -2.97, -3.31, 
##     -3.58, -3.66, -3.53, -3.44, -3.36, -3.34, -3.15, -2.76, -2.31, 
##     -1.85, -0.48, 0.29, 2.36, 3.34, 3.53, 3.66, 3.74, 4.38, 4.35, 
##     4.4, 4.26, 4.11, 4.08, 3.98, 4.17, 4.17, 4.06, 4.38, 4.13, 
##     2.97, 1.3, 1.17, 1.01, 0.47, -0.26, -0.58, -0.83, -1.32, 
##     -1.54, -2.14, -2.42, -2.7, -2.95, -3.24, -3.74, -3.9, -4.46, 
##     -4.56, -4.61, -4.64, -4.61, -4.56, -4.48, -4.43, -3.42, -3.03, 
##     -2.54, -2.34, -1.85, -1.62, -1.27, -0.8, -0.22, 0.37, 0.96, 
##     2.26, 3.69, 3.9, 4.09, 4.21, 4.26, 4.24, 4.09, 3.9, 3.31, 
##     3.42, 3.47, 3.52, 3.63, 3.6, 3.26, 2.83, 1.46, 1.12, -0.14, 
##     -0.5, -1.08, -1.33, -1.61, -1.91, -2.22, -2.55, -3.69, -4.11, 
##     -4.22, -4.38, -4.51, -4.54, -4.51, -4.64, -4.54, -4.42, -4.29, 
##     -3.84, -3.68, -3.48, -3.21, -3.16, -3.02, -2.78, -1.33, 1.8, 
##     3.1, 3.29, 3.76, 4.01, 4.14, 4.21, 4.26, 4.19, 4.19, 4.26, 
##     4.21, 4.05, 4.05, 3.76, 3.71, 3.76, 3.61, 3.23, 3.28, 3.48, 
##     3.73, 3.74, 3.24, 2.02, 1.53, 0.96, 0.83, 0.34, 0.05, -1.8, 
##     -3.5, -3.68, -4.35, -4.45, -4.53, -4.66, -4.88, -4.8, -4.77, 
##     -4.48, -4.3, -3.55, -3.36, -3.12, -2.84, -2.42, -1.43, -0.67, 
##     0.93, 2.57, 2.81, 3.29, 3.85, 4.26, 4.32, 4.5, 4.51, 4.27, 
##     3.92, 3.98, 3.89, 3.97, 4.14, 4.09, 3.68, 2.76, 1.85, 1.43, 
##     1.27, 1.16, 1, 0.74, 0.08, -0.26, -0.58, -1.98, -2.31, -2.86, 
##     -4.22, -4.42, -4.75, -4.88, -5.01, -5.07, -5.22, -5.33, -5.31, 
##     -5.09, -4.48, -4.35, -3.69, -3.31, -3.15, -2.91, -2.63, -2.07, 
##     -0.47, 1.19, 1.73, 2.15, 2.49, 2.79, 3.79, 3.95, 4.22, 4.29, 
##     4.16, 4, 3.85, 3.89, 3.81, 3.71, 3.61, 3.63, 3.52, 3.34, 
##     3, 2.99, 2.75, 2.54, 2.23, 1.04, 0.95, 0.85, 0.37, 0.11, 
##     -0.19, -0.77, -1.24, -1.48, -1.7, -1.86, -2.22, -2.79, -2.97, 
##     -3.16, -3.34, -3.74, -3.81, -3.92, -4.21, -4.27, -4.53, -4.5, 
##     -4.45, -4.62, -4.54, -4.46, -4.46, -4.3, -2.2, -1.65, -0.87, 
##     0.05, 0.85, 1.51, 1.98, 2.31, 3, 3.2, 3.4, 3.64, 3.71, 3.9, 
##     3.92, 3.93, 3.95, 3.9, 3.95, 3.82, 3.47, 3.45, 3.5, 3.56, 
##     3.61, 3.2, 1.51, 1.22, 0.77, 0.34, -0.27, -0.58, -1.72, -1.99, 
##     -0.47, 0.24, 1.73, 2.07, 2.81, 3.32, 3.5, 3.64, 4.11, 4.13, 
##     4.11, 4.09, 3.9, 3.87, 3.45, 3.52, 3.58, 3.64, 3.76, -3.37, 
##     -3.39, -3.5, -3.45, -3.29, -3.13, -2.12, -1.99, -0.35, 0.16, 
##     2.67, 3.2, 3.18, 3.52, 3.31, 2.76, 2.46, 2.28, 2.12, 2.04, 
##     1.8, 1.54, 1.45, 0.75, 0.55, 0.27, -0.06, -0.93, -1.61, -1.78, 
##     -1.93, -2.01, -2.09, -2.33, -2.39, -2.49, -2.57, -2.7, -2.75, 
##     -2.63, -2.55, -2.28, -2.23, -2.15, -2.07, -1.99, -1.93, -1.49, 
##     -1.28, -1.08, -0.8, -0.48, 0.26, 1.01, 1.56, 2.17, 2.46, 
##     2.54, 2.44, 2.38, 2.46, 2.38, 2.38, 2.59, 2.5, 2.55, 2.42, 
##     2.36, 2.1, 1.96, 1.56, 1.48, 1.3, 1.01, 0.69, -0.19, -0.5, 
##     -1.04, -1.33, -1.59, -1.78, -1.93, -2.33, -2.44, -2.59, -2.67, 
##     -2.75, -2.87, -3.08, -3.13, -3.12, -3.02, -2.97, -2.71, -2.42, 
##     -1.54, -1.35, -1.04, -0.82, 0.1, 0.43, 0.8, 1.14, 1.36, 1.91, 
##     2.14, 2.42, 2.44, 2.68, 2.59, 2.42, 2.39, 2.26, 2.14, 2.1, 
##     2.1, 2.01, 1.89, 1.41, 0.95, 0.83, 0.64, -0.45, -1.33, -2.04, 
##     -2.22, -2.38, -2.63, -2.73, -2.86, -2.86, -3.1, -3.1, -2.95, 
##     -2.83, -2.49, -2.3, -1.96, -1.24, 0.29, 1, 1.85, 2.15, 2.26, 
##     2.33, 2.59, 2.73, 2.68, 2.75, 2.6, 2.33, 2.38, 2.18, 1.94, 
##     1.7, 0.93, 0.02, -0.29, -0.59, -0.92, -1.25, -1.93, -2.81, 
##     -3, -3.16, -3.63, -3.64, -3.66, -3.61, -3.47, -2.87, -2.41, 
##     -2.3, -2.04, -1.91, -1.81, -1.65, -0.05, 1.56, 1.78, 2.26, 
##     2.6, 2.83, 2.91, 3, 3, 2.89, 2.71, 2.62, 0.61, 0.16, 0.08, 
##     0, -0.16, -0.19, -0.21, -0.19, -0.1, -0.11, -0.08, -0.06, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.06, 
##     -0.06, -0.1, -0.13, -0.14, -0.19, -0.24, -0.27, -0.31, -0.37, 
##     -0.5, -0.75, -0.87, -1.04, -1.24, -1.57, -1.89, -2.02, -2.25, 
##     -2.38, -2.57, -2.55, 2.02, 2.04, 2.01, 1.94, 1.91, 1.88, 
##     1.88, 1.91, 1.89, 1.85, 1.75, 1.65, 1.54, 1.36, 0.31, -0.22, 
##     -0.47, -1.25, -1.46, -1.93, -2.14, -2.31, -2.5, -2.59, -2.78, 
##     -2.81, -2.68, -2.31, -1.32, -0.37, 0.19, 1.2, 1.45, 1.75, 
##     1.91, 1.94, 2.14, 2.04, 2.1, 2.09, 2.04, 2.04, 1.99, 2.02, 
##     2.14, 1.93, 1.73, 1.33, 1.09, 0.87, 0.48, -0.31, -0.51, -0.72, 
##     -0.92, -4.24, -4.03, -3.93, -3.07, -2.15, -1.51, 1.64, 2.3, 
##     2.83, 3.36, 3.68, 3.71, 3.9, 4.06, 3.98, 3.63, 3.74, 3.5, 
##     3.58, 3.34, 1.62, 1.27, 0.95, 0.32, 0.16, -0.16, -0.32, -0.42, 
##     -0.39, -0.34, -0.1, 0.06, 0.1, 0.13, 0.05, 0.03, 0.02, 0.03, 
##     0, -0.03, -0.05, -0.02, 0.02, -0.03, -0.03, -0.02, -0.02, 
##     0.02, 0.02, 0, -0.03, -0.02, 0.02, 0.02, 0, -0.02, -0.02, 
##     0, -0.03, -0.03, 0.02, 0.02, -0.02, -0.02, -0.03, 0, 0.03, 
##     0.05, 0.06, 0.08, 0.06, 0.05, 0.05, 0.06, 0.06, 0.06, 0.06, 
##     0.06, 0.06, 0.05, 0.03, 0.03, 0.02, 0.02, 0, -0.02, -0.13, 
##     -0.14, -0.39, -0.4, -0.51, -0.61, -0.9, -1, -1.14, -1.59, 
##     -2.12, -2.31, 0.1, 0.1, 0.08, 0.1, 0.1, 0.1, 0.1, 0.1, 0.06, 
##     0.06, 0.22, 0.39, 0.67, 0.82, 0.67, -0.13, -0.29, -0.42, 
##     -0.48, -0.5, -0.4, -0.05, -0.06, -0.11, -0.08, -0.05, 0.03, 
##     -1.11, -1.45, -2.04, -2.31, -2.99, -2.94, -2.92, -2.95, -2.68, 
##     -2.47, -1.54, -0.22, 0.98, 1.38, 1.61, 1.98, 2.28, 2.3, 2.6, 
##     2.55, 2.3, 2.33, 2.36, 2.2, 2.1, 2.22, 2.04, 1.72, 1.49, 
##     0.39, 0.05, -0.03, -0.08, -0.13, -0.34, -0.39, -0.74, -1.17, 
##     -1.46, -1.75, -2.34, -2.75, -2.81, -2.86, -2.81, -2.34, -2.33, 
##     -2.25, -1.94, -1.17, -0.59, 0.88, 1.64, 2.01, 2.22, 2.52, 
##     2.67, 2.5, 2.3, 2.49, 2.55, 2.36, 2.18, 2.15, 1.7, 1.27, 
##     0.88, 0.55, 0.34, -0.16, -0.1, -1.03, -1.25, -1.49, -1.96, 
##     -2.36, -2.68, -2.75, -2.79, -2.78, -2.78, -2.73, -2.47, -2.47, 
##     -2.34, -1.54, -0.39, 0.18, 1.32, 1.46, 1.86, 1.91, 1.98, 
##     2.18, 2.28, 2.2, 2.18, 2.18, 2.42, 2.2, 1.54, 1.24, 0.66, 
##     -0.03, -0.39, -0.5, -1.14, -1.4, -1.59, -2.73, -2.84, -2.99, 
##     -2.84, -2.7, -2.67, -2.49, -2.2, -1.72, -1.11, -0.48, 0.11, 
##     0.64, 1.72, 1.91, 2.02, 2.09, 2.1, 2.12, 1.86, 2.04, 1.83, 
##     1.24, 1.14, 1.01, 0.64, 0.58, 0.4, 0.29, 0.21, 0.13, -0.1, 
##     -0.18, -0.27, -0.53, -1.7, -2.14, -2.33, -2.49, -2.6, -2.7, 
##     -2.78, 0.06, -0.13, -0.29, -0.39, -0.53, -0.85, -1.11, -1.33, 
##     -1.49, -1.65, -2.1, -2.2, -2.26, -2.41, -2.57, -2.76, -2.86, 
##     -2.86, -2.86, -3.13, -3.03, -2.75, -1.45, 0.71, 1.8, 2.23, 
##     2.22, 2.59, 2.59, 2.39, 2.5, 2.73, 2.39, 2.02, 1.7, 1.65, 
##     1.33, 1.04, 0.63, -0.22, -0.56, -1.46, -1.89, -2.57, -2.79, 
##     -3.64, -3.71, -3.44, -3.16, -2.94, -2.22, -1.62, 1.2, 1.46, 
##     1.67, 1.88, 2.41, 2.52, 2.73, 2.89, 2.76, 2.67, 2.86, 2.54, 
##     2.91, 2.42, 2.46, 1.75, 0.92, 0.16, -0.03, -0.45, -0.66, 
##     -0.83, -1, -1.25, -1.59, -2.06, -2.28, -2.65, -2.75, -2.78, 
##     -2.6, -2.33, -2.25, -1.99, -1.94, -1.83, -1.64, -0.75, 1.51, 
##     1.86, 1.98, 2.3, 2.22, 2.23, 2.38, 2.07, 2.12, 1.75, 1.7, 
##     1.61, 1.45, 1.43, 1.03, 0.74, 0.11, -0.1, -0.27, -0.43, -0.77, 
##     -1.16, -1.4, -1.67, -1.86, -2.01, -2.34, -2.42, -2.3, -2.31, 
##     -2.33, -2.09, -2.09, -1.93, -1.78, -1.53, -1.14, -0.72, -0.27, 
##     0.16, 1.49, 1.64, -2.91, -2.38, -2.15, -1.99, -0.93, 0.64, 
##     1.04, 1.72, 1.94, 2.5, 2.25, 2.26, 1.94, 0.85, 0.59, 0.34, 
##     -0.02, -0.24, -0.16, -0.16, -0.19, 0.95, 0.71, 0.53, 0.5, 
##     0.47, 0.45, 0.47, 0.24, 0.19, 0.16, 0.06, -0.06, -0.16, -0.29, 
##     -0.32, -0.42, -0.61, -0.9, -1.01, -1.53, 1.36, 1.32, 1.27, 
##     0.83, 0.79, 0.77, 0.5, 0.45, 0.4, 0.39, 0.39, 0.32, 0.34, 
##     0.31, 0.14, -0.05, -0.55, -0.79, -1.16, -1.36, -1.65, 0.11, 
##     0.1, 0.13, 0.16, 0.18, 0.18, 0.26, 0.32, 0.35, 0.37, 0.4, 
##     0.51, 0.75, 0.96, 1.12, 1.25, 1.43, 1.77, 1.85, 1.88, 2.15, 
##     2.3, 2.34, 2.3, 2.2, 2.14, 1.94, 1.75, 1.69, 1.59, 1.53, 
##     1.46, 1.41, 1.32, 1.2, 0.71, 0.63, 0.53, 0.47, 0.39, 0.37, 
##     0.37, 0.39, 0.37, -1.69, -1.77, -1.73, -1.7, -1.62, -1.59, 
##     -1.53, -1.35, -1.03, -0.16, -0.06, 0.19, 0.27, 0.32, 0.34, 
##     0.37, 0.37, 0.31, 0.32, 0.34, -0.63, -1.11, -1.32, -1.46, 
##     -2.04, -2.09, -2.18, -2.2, -2.3, -2.31, -2.34, -2.34, -2.38, 
##     -2.38, -2.34, -2.09, -1.98, -1.25, -1.04, -0.82, 0.42, 1.11, 
##     1.45, 0.26, 0.19, -0.13, -0.24, -0.39, -0.5, -0.63, -0.82, 
##     -0.93, -1.04, -1.28, -1.72, -2.09, -2.2, -2.2, -2.1, -1.98, 
##     -1.88, -1.75, -1.57, -1.4, -1.28, -1.16, -1.09, -0.96, -0.79, 
##     -0.56, -0.39, -0.22, -0.03, 0.18, 0.66, 0.79, 0.9, 1.28, 
##     1.36, 1.46, 1.61, 2.31, 2.36, 2.3, 2.2, 1.99, 1.94, 1.61, 
##     1.3, 1.25, 1.2, -1.41, -1.35, -0.9, -0.8, -0.16, 0.02, 0.34, 
##     0.56, 0.63, 0.75, 0.79, 0.9, 0.98, 1.24, 1.51, 1.91, 1.98, 
##     2.1, 2.14, 2.15, 2.22, 2.1, 2.09, 1.93, 1.99, 1.33, 1.06, 
##     1.04, 1, 0.85, 0.77, 0.74, 0.64, 0.51, 0.18, 0.13, 0, -0.16, 
##     -0.22, -0.32, -0.4, -0.88, -1.3, -1.65, -1.8, -1.89, -1.96, 
##     -1.99, -2.02, -1.96, -1.86, -1.75, -1.46, -1.3, -1.16, -1.04, 
##     -0.95, -0.88, -0.63, -0.32, -0.05, 0.47, 0.72, 0.85, 0.85, 
##     0.85, 0.93, 0.95, 1.19, 1.3, 1.38, 1.46, 1.62, 1.72, 2.26, 
##     2.28, 2.15, 2.14, 1.62, 1.56, 1.25, 1.11, 0.85, 0.82, 0.75, 
##     0.51, 0.47, 0.43, 0.4, 0.27, 0.24, 0.08, -0.16, -0.43, -0.64, 
##     -0.98, -1.2, -1.61, -1.69, -1.78, -2.17, -2.22, -1.93, -1.81, 
##     -1.7, -1.57, -1.45, -1.22, -1.04, -0.34, 0.02, 0.58, 0.63, 
##     0.64, 0.69, 0.87, 1.06, 1.22, 1.67, 1.8, 1.89, 1.94, 2.15, 
##     2.2, 2.15, 1.78, 1.35, 0.87, 0.61, 0.53, 0.43, 0.43, 0.39, 
##     0.35, 0.32, 0.29, 0.21, 0.18, 0, -0.47, -0.64, -0.82, -0.98, 
##     -1.24, -1.38, -1.56, -1.75, -2.01, -2.22, 2.25, 2.22, 2.01, 
##     1.98, 1.8, 1.62, 1.61, 1.08, 0.98, 0.74, 0.64, 0.5, 0.5, 
##     0.51, 0.58, 0.58, -2.41, -2.49, -2.52, -2.17, -2.02, -1.53, 
##     -1.32, -1.04, -0.82, -0.61, -0.45, 0.14, 0.26, 0.37, 0.47, 
##     0.74, 1.01, 1.12, 1.32, 1.61, 1.67, 1.81, 1.99, 2.12, 2.14, 
##     2.18, 0.8, 0.69, 0.67, 0.63, 0.63, 0.56, 0.48, 0.4, -0.35, 
##     -0.51, -0.96, -1.17, -1.62, -1.65, -1.8, -1.73, -1.86, -1.88, 
##     -1.86, -1.77, 1.59, 1.73, 2.22, 2.44, 2.52, 2.59, 2.67, 2.5, 
##     1.94, 1.83, 1.48, 1.38, 1.27, 1.19, 1.17, 1.09, 0.9, 0.71, 
##     0.63, 0.47, 0.4, 0.39, 0.37, 0.37, 0.35, 0.35, 0.37, 0.37, 
##     0.39, 0.4, 0.39, 0.39, 0.37, 0.39, 0.45, 0.58, 0.59, 0.71, 
##     0.79, 0.88, 0.85, 0.74, 0.79, 0.72, 0.71, 0.85, 0.82, 0.8, 
##     0.61, 0.5, 0.39, 0.29, 0.05, 0.03, 0, 0, 0.34, 0.4, 0.05, 
##     -0.18, -0.56, -0.72, -0.96, -1.08, -1.2, -1.46, -1.64, -1.7, 
##     -1.72, -2.14, -2.39, -2.42, -2.2, -1.57, -1.28, -1.17, -1.09, 
##     -0.93, -0.85, -0.79, -0.58, -0.43, -0.06, 0.06, 0.06, 0.11, 
##     0.48, 0.55, 0.59, 0.67, 0.75, 1.03, 1.16, 1.28, 1.45, 1.77, 
##     2.2, 2.23, 2.39, 2.28, 2.34, 1.98, 1.81, 1.75, 1.75, 1.78, 
##     1.64, 1.57, 1.61, 1.46, -1.61, -1.69, -1.64, -1.51, -1.36, 
##     -1.33, -1.17, -1.11, -1.01, -0.95, -0.92, -0.71, -0.24, 0.02, 
##     0.06, 0.18, 0.22, 0.27, -0.66, -0.61, -0.39, -0.06, 0.8, 
##     1.14, 1.35, 1.91, 2.09, 2.22, 2.26, 1.98, 1.96, 1.86, 1.89, 
##     1.89, 1.86, 1.65, 1.4, 1.36, 1.33, 1.25, 1.17, 1.17, 1.14, 
##     0.77, 0.64, -0.48, -0.11, -0.03, 0.08, 0.19, 0.27, 0.39, 
##     0.59, 0.64, 0.69, 0.71, 0.77, 0.83, 0.88, 1, 1.16, 1.25, 
##     1.3, 1.48, 1.54, 1.64, 1.65, 1.64, 1.69, 1.7, 1.72, 1.65, 
##     1.49, 1.59, 1.61, 1.53, 1.46, 1.24, 1.17, 1.14, 1.11, 1.04, 
##     -0.19, -0.37, -0.56, -0.75, -0.93, -1.11, -1.51, -1.62, -1.69, 
##     -1.72, -1.75, -1.85, -1.88, -1.88, -1.86, -1.8, -1.7, -1.53, 
##     -1.46, -1.43, -1.38, -1.32, -1.25, -1.22, -1.12, -0.87, -0.48, 
##     -0.13, -0.06, 0.03, 0.14, 0.29, 0.69, 0.88, 0.92, 1, 1.09, 
##     1.22, 1.54, 1.59, 1.77, 1.85, 1.85, 1.93, 1.96, 1.93, 1.86, 
##     1.86, 1.83, 1.86, 1.83, 1.83, 1.73, 1.53, 1.38, 1.27, 1.22, 
##     -1.72, -1.69, -1.65, -1.62, -1.56, -1.41, -1.08, -1.08, -0.9, 
##     -1.03, -0.95, -0.82, -0.64, -0.43, -0.24, 0.16, 0.47, 0.61, 
##     0.67, 0.74, 0.77, 0.72, 0.85, 0.92, 1.03, 1.24, 1.32, 1.48, 
##     1.59, 1.65, 1.72, 1.78, 1.81, -0.8, -1.12, -1.59, -1.72, 
##     -1.78, -1.8, -2.01, -2.09, -2.1, -2.12, -2.14, -2.12, -1.85, 
##     -1.67, -1.54, -1.43, -1.27, -1.12, -0.85, -0.77, -0.71, -0.59, 
##     -0.47, -0.13, -0.08, -0.02, 0.02, 0.05, 0.1, 0.18, -1.28, 
##     -1.17, -0.95, -0.9, -0.85, -0.87, -0.93, -0.88, -0.87, -0.69, 
##     0.48, 0.66, 0.92, 1, 1.36, 1.45, 1.56, 1.78, -1.48, -1.4, 
##     -1.49, -1.46, -1.38, -1.41, -1.38, -1.3, -1.19, -1.09, -0.79, 
##     -0.51, -0.42, -0.34, 0.37, 0.67, 0.8, 0.88, 1, 1.27, 1.35, 
##     1.43, 1.57, 1.64, 1.69, 1.75, 1.78, 1.85, 1.81, 1.78, 1.77, 
##     1.78, 1.33, 1.32, 1.14, 0.95, 0.58, 0.39, 0.16, -0.03, -0.37, 
##     -0.51, -0.79, -1.08, -1.46, -1.62, -1.61, 1.86, 1.77, 1.69, 
##     1.57, 1.4, 1.43, 1.4, 1.35, 0.92, 0.31, 0.06, -0.32, -0.5, 
##     -0.66, -1.08, -1.2, -1.28, -1.36, -1.54, -1.89, -2.02, -2.09, 
##     -2.17, -2.22, -2.14, -2.07, -1.77, -1.69, 1.86, 1.99, 1.98, 
##     2.01, 2.1, 2.09, 2.14, 2.15, 2.02, 2.04, 1.99, 1.78, 1.54, 
##     0.83, 0.47, 0.37, -0.05, -0.34, -0.48, 1.16, 0.82, 0.83, 
##     0.74, 0.67, 0.53, 0.32, 0.19, -0.24, -0.74, -1.11, -1.3, 
##     -1.35, -1.43, -1.48, -1.53, -1.56, -1.57, -1.69, -1.7, -1.72, 
##     -1.75, 0.48, 0.32, 0.14, -0.05, -0.37, -1.09, -1.25, -1.72, 
##     -1.98, -2.07, -2.15, -2.33, -2.38, -2.42, -2.38, -2.3, -2.17, 
##     -1.99, -1.64, -1.43, -1.28, -1.14, 1.78, 1.91, 2.01, 2.3, 
##     2.33, 2.41, 2.31, 1.78, 1.89, 1.85, 1.72, 0.79, 0.56, 0, 
##     -0.18, -1.14, -1.38, -1.69, -1.93, -2.31, -2.5, -2.79, -3, 
##     -3.21, -3.2, -2.76, -2.39, -1.33, -0.79, 0.75, 1.48, 1.65, 
##     2.2, 2.25, 2.3, 2.44, 2.33, 2.31, 2.42, 2.28, 2.28, 2.01, 
##     1.77, 0.79, 0.58, 0.22, 0.08, 0.08, 0.06, 0.02, -0.02, -0.05, 
##     0.06, 0.06, 0.08, 0.1, 0.1, 0.06, 0.06, 0.1, 0.06, -0.05, 
##     -0.05, -0.06, -0.06, -2.38, -2.23, -2.18, -2.23, -2.17, -1.64, 
##     -0.93, -0.48, -0.69, -0.48, 0.08, 0.16, 0.22, 0.1, -0.02, 
##     0, -0.02, 0.08, 0.1, 0.06, 0.08, 0.1, 0.06, 0.05, 0.05, 0.03, 
##     0.05, 0.05, -3.5, -3.95, -4.08, -4.17, -4.85, -4.8, -4.69, 
##     -4.66, -3.13, -2.3, -1.77, -1.22, -0.61, 0.74, 2.73, 3, 3.48, 
##     3.97, 4.42, 3.84, 3.98, 4.01, 3.4, 3.23, 3.28, 3.36, 3.5, 
##     3.56, 3.53, 3.5, 3.37, 3.15, 1.8, 0.96, 0.71, 0.51, 0.13, 
##     -0.29, -0.61, -0.92, -1.62, -1.93, -2.25, -2.89, -3.13, -3.1, 
##     -3.08, -3.15, -2.91, -2.99, -3.13, -3.07, -2.76, -2.76, -2.01, 
##     -1.64, -1.33, 0.13, 0.53, 0.95, 1.28, 1.56, 1.73, 1.91, 2.49, 
##     2.49, 2.65, 2.75, 2.78, 2.97, 2.62, 2.75, 2.17, 2.28, 2.15, 
##     2.18, 2.14, 2.44, 2.36, 2.04, 1.65, 1.35, 1.2, 1.04, 0.96, 
##     0.92, 0.69, 0.39, 0.21, -0.21, -0.55, -0.72, -0.92, -1.16, 
##     -1.81, -2.5, -2.59, -2.67, -2.91, -3.02, -3.18, -3.18, -2.65, 
##     -2.46, -1.96, -1.93, -1.62, -1.11, -0.9, -0.64, -0.08, 0.22, 
##     0.56, 1.36, 2.14, 2.12, 2.17, 2.39, 2.36, 2.57, 2.59, 2.52, 
##     2.39, 2.25, 2.26, 2.41, 2.41, 2.3, -1.12, -0.66, -0.16, 0.32, 
##     0.67, 1.25, 1.51, 1.56, 1.77, 1.7, 1.89, 1.86, 2.06, 1.86, 
##     1.78, 1.7, 1.49, 1.09, 1.03, 0.95, 0.77, 0.32, 0.16, 0.02, 
##     0, -0.02, 2.09, 2.06, 1.77, 1.48, 1.54, 0.48, 0.22, -0.02, 
##     -0.43, -0.45, -0.58, -0.8, -1.01, -1.53, -1.88, -2.33, -2.46, 
##     -2.73, -2.84, -2.92, -2.97, -3, -3.34, 1.98, 2.02, 2.04, 
##     1.98, 1.93, 1.89, 1.43, 0.9, 0.66, 0.1, -0.08, -0.08, -0.1, 
##     -0.24, -1.14, -1.4, -1.51, -1.8, -1.98, -2.09, -2.55, -2.63, 
##     -2.68, -2.65, -2.54, -1.25, -0.69, -0.1, 0.51, 0.98, 1.27, 
##     1.65, 1.94, 2.04, 2.06, 2.04, 2.18, 1.98, 1.96, 1.99, 2.04, 
##     2.07, 2.12, 2.22, 2.14, 2.14, 2.26, 2.31, 2.17, 2.28, 2.36, 
##     2.26, 2.25, 2.22, 2.1, 1.94, 1.54, 0.48, -0.32, -1.56, -1.73, 
##     -1.89, -2.01, -2.36, -2.41, -2.55, -2.83, -2.84, -2.47, -2.41, 
##     -2.34, -2.28, -2.23, -2.17, -2.1, -2.18, -2.44, -2.52, -2.52, 
##     -2.12, -1.78, -1.41, 0.87, 1.48, 1.86, 2.04, 2.15, 2.12, 
##     2.12, 2.2, 2.22, 2.12, 2.91, 3.08, 3.2, 3.5, 3.4, 3.58, 2.39, 
##     2.44, 2.34, 2.49, 2.54, 2.68, 2.52, 2.31, 2.2, 1.11, 0.85, 
##     0.61, 0.32, 0.03, -0.24, -0.63, -0.74, -0.8, -0.82, -0.75, 
##     -0.69, -0.69, -0.71, -0.71, -0.53, -0.35, -0.21, -0.18, 0.02, 
##     0.06, 0.06, 0.05, 0, -0.02, -0.02, 3.89, 3.92, 4.34, 1.72, 
##     2.18, 2.3, 2.39, 2.83, 3.5, 4.05, 3.79, 3.84, 4.01, 3.76, 
##     3.85, 3.95, 3.95, 3.77, 3.63, 3.55, 3.23, 2.97, 2.54, 2.34, 
##     2.02, 1.88, 1.17, 1, 0.14, -0.05, -0.95, -1.54, -1.83, -2.67, 
##     -2.97, -3.16, -3.29, -3.36, -3.39, -3.58, -3.6, -3.61, -3.55, 
##     -3.48, -3.2, -2.81, -2.65, -2.25, -2.04, -1.85, -1.57, -1.38, 
##     -1.01, -0.32, 1.03, 1.7, 1.98, 2.28, 2.36, 2.49, 2.86, 3.07, 
##     3.42, 3.73, 3.76, 3.73, 3.68, 3.63, 3.69, 3.64, 3.63, 3.36, 
##     3.34, 3.28, 3.05, 2.89, 1.75, 1.27, 1.06, 0.9, 0.82, 0.35, 
##     0.24, 0.03, -0.11, -0.34, -0.9, -1.08, -1.43, -1.61, -1.89, 
##     -2.04, -2.78, -2.95, -3.55, -3.69, -3.82, -3.92, -4.29, -4.27, 
##     -4, -3.81, -3.34, -2.86, -2.63, -2.14, -1.81, -1.4, -1.08, 
##     -0.67, 0.05, 0.83, 1.2, 1.51, 2.23, 2.6, 2.79, 2.99, 3.31, 
##     3.6, 3.5, 3.53, 3.66, 3.36, 3.26, 3.32, 3.29, 3.52, 3.52, 
##     3.47, 3.37, 3.02, 2.99, 2.68, 2.47, 1.88, 1.57, 1.46, 1.19, 
##     1.11, 1.03, 0.93, -3.68, -3.48, -3.08, -2.68, -2.04, -1.83, 
##     -1.45, -1.22, -1, -0.55, -0.26, 0, 0.27, -1.25, -1.53, -1.8, 
##     -2.23, -2.44, -2.62, -2.78, -2.94, -3.16, -2.81, -2.6, -1.8, 
##     -1.69, -1.65, -1.73, -1.88, -1.54, -0.61, -0.08, 0.95, 1.28, 
##     1.54, 1.77, 1.93, 2.02, 2.07, 2.17, 2.15, 2.2, 2.25, 2.22, 
##     2.22, 2.28, 2.28, 2.23, 2.18, 2.22, 2.02, 2.02, 1.59, 1.41, 
##     0.95, -0.31, -1.48, -1.67, -1.83, -2.12, -2.25, -2.38, -2.5, 
##     -2.62, -2.75, -2.94, -2.97, -2.94, -2.84, -2.59, -2.47, -2.04, 
##     -2.02, -1.96, -1.4, -1.08, -0.64, -0.13, 0.39, 1.7, 1.91, 
##     2.01, 2.07, 2.17, 2.22, 2.36, 2.41, 2.38, 2.25, 2.25, 2.12, 
##     2.07, 2.1, 2.09, 2.02, 1.99, 1.96, 1.98, 1.96, 1.88, 1.78, 
##     1.46, 1.04, 0.11, -0.4, -0.92, -1.54, -1.94, -2.33, -2.62, 
##     -2.65, -2.67, -2.67, -2.54, -2.42, -2.3, -1.99, -1.72, -1.64, 
##     -1.48, -1.45, -1.57, -1.78, -1.77, -1.62, -1.28, -0.75, -0.16, 
##     0.39, 1.2, 1.56, 1.83, 1.93, 2.02, 2.2, 2.22, 2.26, 2.39, 
##     2.31, 2.28, 2.36, 2.3, 2.33, 2.34, 2.36, 2.46, 2.09, 1.69, 
##     0.83, -0.08, -0.66, -0.93, -1.19, -1.62, -1.8, -1.98, -2.14, 
##     -2.42, -2.73, -2.92, -3.07, -2.97, -2.87, -2.71, -2.49, -2.31, 
##     -2.17, -2.02, -1.77, -1.81, -1.73, -1.67, -1.51, -0.69, -0.14, 
##     0.34, 0.96, 1.25, 1.62, 1.77, 2.02, 2.01, -0.03, -0.03, 0, 
##     0, 0.03, 0.02, 0.02, -0.03, -0.03, -0.05, -0.06, -0.11, -0.11, 
##     -0.08, -0.08, -0.08, -0.13, -0.16, -0.18, -0.18, -0.26, -0.5, 
##     -0.74, -0.9, -1.24, -1.43, -1.64, -1.85, -3.63, -4.35, -4.38, 
##     -4.29, -4.01, -3.45, -3.16, -3.05, -2.95, -2.95, -3, -2.92, 
##     -2.75, -1.96, -1.41, 0.16, 0.48, 0.66, 0.87, 0.92, 0.95, 
##     1.03, 1.16, 1.35, 1.56, 2.5, 2.78, 3.03, 3.26, 3.36, 3.52, 
##     3.66, 3.56, 3.5, 3.52, 3.42, 3.36, 3.4, 3.36, 3.36, 3.42, 
##     2.91, 1.65, 0.63, 0.26, -0.08, -0.93, -1.17, -1.72, -2.33, 
##     -2.94, -3.34, -3.76, -4.17, -4.37, -4.45, -4.46, -4.37, -4.37, 
##     -4.29, -4.17, 3.58, 3.5, 3.5, 3.55, 3.37, 3.28, 3.15, 3.02, 
##     2.81, 2.65, 2.52, 2.38, 1.43, -0.11, -0.47, -0.77, -1.01, 
##     -1.2, -1.41, -1.59, -1.77, -1.94, -2.1, -2.73, -3.02, -3.76, 
##     -4.01, -4.22, -4.38, -4.53, -4.59, -4.54, -4.51, -4.32, -3.97, 
##     -3.9, -3.82, -3.73, -3.68, -3.39, -1.99, -0.48, 0.26, 0.85, 
##     1.48, 1.64, 1.86, 2.09, 2.23, 2.41, 2.59, 3.12, 3.36, 3.74, 
##     3.73, 3.61, 3.6, 3.44, 3.23, 3.07, 2.87, 1.57, 1.17, 0.75, 
##     -0.77, -1.62, -1.85, -2.28, -2.5, -3.44, -4.06, -4.96, -5.2, 
##     -5.12, -4.93, -4.13, -3.82, -3.48, -3.28, -3.13, -0.47, 0.96, 
##     1.43, 1.78, 2.23, 2.36, 2.65, 2.78, 2.91, 3.18, 3.53, 3.58, 
##     3.69, 3.76, 3.73, 3.74, 3.71, 3.52, 3.31, 3.18, 2.73, 2.25, 
##     1.99, 1.75, 1.38, -0.34, -0.74, -1.09, -1.99, -2.3, -2.63, 
##     -3.61, -4.01, -4.19, -4.32, -4.5, -4.59, -4.61, -4.64, -4.51, 
##     -4.19, -3.98, -3.76, -3.36, -3.15, -2.89, -2.67, -2.47, -2.26, 
##     -1.91, -1.45, -1.19, -0.93, 1.06, 1.49, 2.06, 2.39, 2.54, 
##     2.65, 2.87, 2.99, 3.03, 3.12, 3.18, 3.26, 3.34, 3.32, 3.15, 
##     3.02, 2.89, 2.78, 2.38, 2.18, 1.72, 1.2, 0.95, 0.69, 0.43, 
##     -0.1, -0.92, -1.16, -1.46, -1.78, -2.68, -2.94, -3.15, -3.32, 
##     -3.45, -3.58, -3.68, -3.77, -3.89, -3.89, -3.92, -3.2, -2.71, 
##     -2.54, -2.26, -2.1, -1.89, -1.67, -0.88, -0.14, 0.22, 1.01, 
##     1.61, 1.8, 2.14, 2.46, 2.55, 2.78, 2.87, 2.95, 3.23, 3.37, 
##     3.34, 3.12, 3.02, 2.65, 2.54, 2.7, 2.76, 2.79, 2.81, 2.73, 
##     2.22, 1.88, 1.49, 1.09, 0.8, -0.27, -1, -1.72, -2.1, -3.13, 
##     -3.63, -3.79, -3.95, -3.82, -3.61, -3.47, -3.29, -2.97, -2.83, 
##     -2.68, -2.3, -2.15, -1.98, -1.8, -1.57, -1.27, 0.43, 0.79, 
##     1.09, 1.4, 1.65, 2.36, 2.54, 2.79, 3.31, 3.4, 3.56, 3.63, 
##     3.58, 3.63, 3.53, 3.45, 3.53, 3.26, 1, 1.03, 0.53, 0.26, 
##     0.24, 0.29, 0.5, 0.63, 1.14, 1.85, 1.75, 1.7, 1.65, 1.64, 
##     1.7, 1.77, 1.83, 1.88, 1.89, 1.85, 1.7, 0.37, 0.18, -0.77, 
##     -1.48, -2.17, -2.91, -4.61, -6.12, -6.34, -6.37, -6.37, -6.36, 
##     -6.09, -5.68, -4.87, -4.14, -2.62, 2.83, 3.13, 3.29, 3.34, 
##     3.79, 3.77, 3.68, 3.9, 3.92, 3.23, 3.26, 3.23, 2.89, 2.65, 
##     2.3, 1.61, 1.22, 0.82, 0.37, -0.37, -0.55, -0.95, -1.27, 
##     -1.59, -1.88, -2.52, -2.79, -3.05, -4.11, -4.3, -4.77, -4.88, 
##     -5.15, -5.03, -5.4, -5.54, -5.91, -5.94, -5.38, -3.84, -1.73, 
##     2.7, 3.47, 3.55, 3.28, 3.2, 3.23, 3.45, 3.6, 3.74, 3.44, 
##     3.37, 3.37, 3.05, 3.1, 2.79, 2.63, 2.5, 2.5, 2.3, 1.93, 1.77, 
##     0.88, 0.37, 0.26, -0.31, -0.71, -0.87, -0.98, -1.73, -1.93, 
##     -2.87, -3.08, -3.5, -3.87, -4.16, -4.34, -4.35, -4.35, -4.43, 
##     -4.75, -5.65, -5.81, -6.13, -5.81, -1.24, 2.83, 2.78, 2.68, 
##     2.75, 2.92, 1.59, 1.51, 1.46, 1.12, 0.98, 0.5, 0.06, -0.06, 
##     -0.22, -0.39, -0.66, -0.92, -1.11, -1.24, -1.48, -1.65, -1.69, 
##     -1.67, -1.57, -1.48, -1.45, -1.48, -1.51, -1.53, -1.53, -1.57, 
##     -1.27, -1.17, -0.53, -0.47, -0.48, -0.53, -0.87, -0.85, 0.56, 
##     1.12, 1.12, 1.19, 1.62, 1.89, 2.22, 2.28, 2.36, 2.34, 2.3, 
##     2.5, 2.57, 2.33, 2.28, 2.26, 1.96, 1.83, 1.7, 1.69, 1.56, 
##     1.48, 1.41, 1.25, 1.11, 0.1, 0.03, -0.02, -0.11, -0.47, -0.56, 
##     -0.64, -0.8, -1.19, -1.48, -2.12, -2.31, -2.31, -2.2, -2.04, 
##     -1.53, -0.69, -0.5, -0.43, -0.47, -0.53, -0.56, -0.66, -0.69, 
##     -0.61, -0.55, -0.27, 0.77, 0.93, 1.04, 1.14, 1.22, 1.86, 
##     1.86, 1.94, 1.98, 2.02, 2.06, 2.1, 2.09, 1.93, 1.75, 1.78, 
##     1.77, 1.8, 1.8, 1.65, 1.65, 1.49, 1.43, 1.43, 1.4, 0.83, 
##     0.27, 0.11, -0.24, -0.96, -1.3, -1.53, -1.73, -1.88, -1.83, 
##     -1.62, -1.56, -1.46, -1.36, -1.28, -1.17, -1.22, -1.14, -1.11, 
##     -1.09, -1.01, -0.96, -0.85, -0.61, -0.5, -0.5, -0.51, -0.5, 
##     -0.61, -0.59, -0.19, 0.27, 0.66, 0.82, 0.93, 1, 1.57, 1.73, 
##     1.96, 2.26, 2.59, 2.63, 2.46, 2.33, 2.39, 2.57, 2.18, 2.12, 
##     1.81, 1.7, 1.61, 1.51, 1.41, 1.33, 1.25, 1.24, 1.28, 1.32, 
##     1.3, 1.25, 1.14, 1.01, 0.88, -0.03, -0.34, -0.67, -0.77, 
##     -0.85, -0.92, -1.3, -1.49, -1.65, -1.72, -1.75, -1.77, -1.75, 
##     -1.72, -1.7, -1.61, -1.49, -1.35, -1.25, -1.16, -1.03, -0.93, 
##     -0.85, -0.82, -0.79, -0.61, -0.58, -0.48, -0.42, -0.42, -0.5, 
##     -0.71, -0.9, -1, -1.09, 0.22, 0.48, 0.85, 0.98, 1, 0.96, 
##     0.98, 1.06, 1.09, 1.14, 1.19, 1.4, 1.41, 1.75, 1.85, 1.83, 
##     1.88, 1.78, 1.83, 1.83, 1.77, 1.81, 1.86, 2.14, 2.09, 2.14, 
##     2.15, 2.04, 2.14, 2.15, 2.06, 1.94, 1.78, 1.54, 1.4, 1.35, 
##     1.27, 1.24, 1.22, 1.24, 1.28, 1.33, 1.24, 1.12, 1.08, 0.82, 
##     0.59, 0.51, 0.31, 0.19, 0.19, 0.16, 0.1, 0.14, 0.21, 0.26, 
##     0.29, 0.34, 0.35, 0.4, 0.45, 0.5, 0.64, 0.66, 0.63, -1.01, 
##     -1.28, -2.14, -2.39, -2.68, -2.79, -2.91, -3.02, -3.15, -3.26, 
##     -3.36, -3.52, -3.56, -3.6, -3.37, -3.13, -2.95, -2.7, -2.63, 
##     -2.54, -2.23, -2.18, -2.1, -2.01, -1.67, -1.59, -1.11, -0.64, 
##     0.02, 0.55, 1.16, 1.94, 2.2, 2.57, 2.62, 2.6, 2.63, 2.75, 
##     2.71, 2.7, 2.79, 2.63, 2.63, 2.76, 2.68, 2.68, 2.67, 2.6, 
##     2.54, 2.55, 2.5, 2.28, 2.18, 2.09, 1.86, 1.46, 0.35, 0.1, 
##     -0.29, -0.47, -0.66, -1, -1.3, -1.49, -1.61, -1.85, -2.04, 
##     -2.17, -2.59, -2.87, -3.08, -3.29, -3.39, -3.52, -3.08, -2.87, 
##     -2.63, -2.39, -2.15, -1.69, -1.64, -1.51, -1.41, -1.4, -1.35, 
##     -1.25, -1.2, -1.2, -1.16, -0.95, -0.83, -0.79, -0.67, -0.71, 
##     -0.69, -0.4, -0.34, -0.22, -0.13, 0, 0.13, 0.83, 1.14, 1.64, 
##     1.81, 1.91, 2.42, 2.39, 2.31, 2.28, 2.3, 2.34, 2.36, 2.34, 
##     2.33, 2.3, 2.5, 2.54, 2.57, 2.7, 2.7, 2.57, 2.52, 2.47, 2.44, 
##     2.34, 2.22, 1.99, 1.72, 1.33, 0.1, -0.4, -0.67, -0.88, -1.09, 
##     -1.88, -2.18, -2.33, -2.36, -2.92, -3.02, -3.07, -3.07, -2.79, 
##     -2.7, -2.33, -2.17, -1.77, -1.69, -1.54, -1.45, -1.45, -1.49, 
##     -1.49, -1.48, -1.24, -1.06, -0.85, -0.03, 0.61, 1.25, 1.49, 
##     1.7, 2.02, 2.18, 2.31, 2.36, 2.36, 2.39, 2.42, 2.46, 2.39, 
##     2.46, 2.47, 2.54, 2.59, 2.63, 2.68, 2.63, 2.6, 2.6, 2.63, 
##     -2.67, -2.63, -2.7, -2.78, -2.73, -2.57, -2.36, -2.33, -2.33, 
##     -2.17, -2.06, -1.93, -1.67, -1.56, -1.17, -1, -0.98, -0.8, 
##     -0.39, -0.27, -0.18, 0.03, 0.26, 0.4, 0.53, 0.93, 1.27, 1.36, 
##     1.48, 1.57, 1.67, 1.85, 1.94, 2.07, 2.2, 2.31, 2.33, 2.33, 
##     2.23, 2.39, 2.41, 2.52, 2.71, 2.79, 2.91, 2.94, 2.97, 2.78, 
##     2.47, 2.41, 2.15, 2.04, 1.38, 1.08, 0.9, 0.67, 0.21, -0.16, 
##     -0.96, -1.56, -1.62, -1.72, -1.78, -1.89, -2.26, -2.5, -3.42, 
##     -3.56, -2.79, -2.44, -2.28, -2.01, -1.91, -1.59, -1.43, -1.36, 
##     -1.36, -1.24, -1.12, -0.77, -0.11, 0.4, 1.08, 1.56, 1.77, 
##     1.89, 2.04, 2.17, 2.42, 2.73, 3.07, 3.23, 3.15, 3.1, 2.97, 
##     2.92, 2.91, 2.95, 2.97, 2.38, 2.33, 2.26, 1.98, 1.85, 1.73, 
##     1.51, 1.33, 1.14, 0.24, -0.02, -0.11, -0.22, -0.53, -0.74, 
##     -0.95, -1.36, -1.53, -1.67, -1.88, -1.93, -2.41, -2.6, -2.79, 
##     -2.95, -2.99, -2.95, -2.92, -2.65, -2.39, -1.85, -1.73, -1.7, 
##     -1.64, -1.4, -1.35, -0.37, -0.1, 0.08, 0.72, 0.85, 0.96, 
##     1.04, 1.27, 1.36, 1.49, 1.61, 1.73, 1.88, 2.17, 2.54, 2.67, 
##     2.81, 2.83, 2.87, 3.02, 3.12, 3.16, 3.18, 3.21, 2.84, 2.86, 
##     2.86, 2.95, 2.97, 3.08, 3.07, 2.7, 2.04, 1.81, 1.43, 0.43, 
##     -0.14, -0.4, -0.87, -1.2, -1.59, -1.7, -1.94, -2.06, -2.12, 
##     -2.22, -2.49, -2.78, -3.23, -3.2, -3.12, -2.95, -2.04, -1.91, 
##     -1.77, -1.64, -1.45, -1.53, -1.61, -1.59, -1.33, -1.25, -1.16, 
##     0.18, 0.42, 0.87, 1.08, 1.33, 1.43, 1.8, 1.94, 2.28, 2.59, 
##     2.67, 2.71, 3, 3.02, 3.1, 3.16, 3.12, 2.99, 2.87, 2.97, 2.63, 
##     2.91, 2.91, 2.89, 2.84, 2.7, 2.07, 1.93, 1.85, 1.73, 1.65, 
##     1.46, 1.28, 0.72, 0.5, -0.64, 3.85, 3.89, 3.74, 3.39, 2.26, 
##     1.73, 1.33, 1.06, 0.88, 0.74, 0.31, -1.81, -2.09, -3.32, 
##     -3.6, -3.82, -3.97, -4.4, -4.66, -4.69, -4.69, -4.58, -4.3, 
##     -4.26, -4.16, -4, -3.81, -3.5, -0.93, -0.05, 0.67, 1.22, 
##     1.67, 2.02, 2.6, 3.2, 3.34, 3.53, 4.01, 4.14, 3.98, 3.84, 
##     3.9, 3.82, 3.68, 3.69, 3.66, 3.63, 3.52, 3.5, 3.48, 3.6, 
##     3.58, 3.21, 2.84, 0.75, -0.34, -0.63, -0.88, -1.41, -1.7, 
##     -3.58, -4.05, -4.17, -4.26, -4.3, -4.38, -4.3, -4.16, -4.05, 
##     -4, -4, -3.93, -3.84, -2.94, -2.71, -2.46, -0.42, 1.59, 1.98, 
##     2.54, 2.68, 2.83, 3.48, 3.6, 3.63, 3.37, 3.36, -0.42, -0.32, 
##     -0.31, -0.27, 0.08, 0.06, 0.03, 0.02, 0, -0.02, -0.02, 0, 
##     0.05, 0.05, 0.05, 0, -0.03, -0.03, 0.02, 0.02, 0, -0.08, 
##     -0.4, -0.58, -1.56, -1.78, -1.99, -2.2, -2.44, -2.75, -3.24, 
##     -3.74, -3.95, -4.06, -4.67, -4.96, -4.99, -4.69, -4.48, -4.22, 
##     -3.98, -3.08, -2.73, -2.26, -1.86, -0.8, 0.35, 1.27, 1.77, 
##     2.22, 2.39, 2.5, 2.55, 2.63, 2.68, 2.73, 2.68, 2.34, 2.28, 
##     2.28, 0.75, -0.24, -0.79, -1.03, -1.27, -1.65, -1.86, -2.04, 
##     -2.18, -2.54, -3.39, -3.58, -3.93, -4.01, -3.73, -2.81, -1.03, 
##     1.45, 1.96, 2.17, 2.71, 2.84, 2.94, 2.95, 3, 3, 2.99, 2.7, 
##     2.71, 2.68, 2.38, 2.31, 2.15, 1.98, 1.77, 1.61, 1.28, -1.12, 
##     -1.38, -1.89, -2.14, -2.97, -3.36, -3.53, -3.71, -4.05, -4.13, 
##     -4.13, -4.13, -4.05, -3.87, -3.02, -2.75, -2.3, -1.01, -0.22, 
##     2.01, 2.34, 2.59, 2.68, 2.76, 3.1, 3.12, 2.81, 2.73, 2.33, 
##     1.98, 1.61, 1.61, 1.35, 0.96, 0.32, -0.88, -1.16, -1.73, 
##     -2.02, -2.25, -2.63, -2.79, -2.95, -3.47, -3.58, -3.71, -3.6, 
##     -3.52, -2.84, -2.67, -1.41, -0.71, 1.12, 1.48, 2.09, 2.57, 
##     2.67, 2.87, 2.91, 3.13, 3.16, 3.1, 2.94, 2.78, 2.57, 2.23, 
##     2.07, 2.04, 1.62, 1.41, 1.12, 0.53, -0.18, -0.4, -0.92, -1.14, 
##     -1.38, -2.2, -2.34, -2.5, -3.08, -3.23, -3.36, -3.48, -3.66, 
##     -3.93, -4, -2.94, 1.54, 1.96, -3.6, -3.79, -4, -4.03, -4.22, 
##     -4.29, -4.22, -4.09, -3.98, -3.79, -3.4, -2.89, -1.94, 0.31, 
##     0.93, 1.89, 2.22, 2.38, 2.81, 2.95, 3.47, 3.42, 3.34, 3.37, 
##     2.89, 2.71, 2.63, 2.5, 2.41, 2.31, 2.38, 1.96, 1.35, 1.19, 
##     1, 0.67, 0.37, -1.09, -1.38, -2.68, -3.12, -3.66, -3.89, 
##     -3.98, -4.08, -4.21, -4.35, -4.42, -4.34, -4.09, -3.71, -3.47, 
##     -3.24, -3, -2.79, -2.59, -2.02, -1.53, 0.66, 2.42, 2.99, 
##     3.16, 3.52, 3.66, 3.32, 3.03, 2.86, 2.75, 2.52, 2.42, 1.11, 
##     0.83, 0.47, 0.13, -0.16, -0.42, -0.87, -1.56, -1.78, -2.15, 
##     -2.34, -2.54, -2.91, -3.12, -3.31, -3.77, -4.01, -4.05, -4.03, 
##     -4.01, -3.73, -3.24, -3, -2.76, 0.98, 1.43, 1.75, 1.99, 2.23, 
##     2.6, 2.92, 3.12, 3.37, 3.47, 3.76, 3.56, 3.53, 3.37, 2.92, 
##     2.73, 2.5, 2.36, 2.23, 2.12, 1.72, 1.11, 0.69, -0.02, -0.35, 
##     -0.87, -1.73, -2.02, -2.52, -2.91, -3.79, -4.08, -4.01, -3.48, 
##     -3.05, -2.79, -2.6, -1.91, -2.04, -2.25, -2.73, -3, -3.21, 
##     -3.71, -3.98, -4.13, -4.14, -4.03, -3.02, -2.52, -2.34, -2.12, 
##     -1.78, -1.36, -0.8, 0.45, 1.3, 1.57, 1.99, 2.17, -0.03, -0.05, 
##     0.05, 0.02, 0.03, 0.03, 0, 0, 0, 0, -0.06, -0.05, -0.03, 
##     -0.03, -0.02, -0.02, -0.03, -0.03, 0.02, 0.02, 0.03, 0.06, 
##     0.06, 0.08, 0.06, 0.05, 0.05, 0.02, -0.03, -0.06, 0, 0.05, 
##     0.03, 0, 0, -0.03, 0, 0.05, 0.02, 0.03, 0.02, 0.02, 0, -0.05, 
##     -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 0.03, 0.03, 
##     0.06, 0.06, 0.1, 0.08, 0.1, 0.1, 0.19, 0.21, 0.22, 0.24, 
##     0.29, 0.34, 0.24, 0.27, 0.26, 0.13, 0.14, 0.13, 0.1, 0.05, 
##     -0.27, -0.45, -0.55, -0.64, -0.74, -0.88, -1.06, -1.06, -0.92, 
##     -0.79, -0.21, 0, 0.51, 0.59, 0.64, 0.74, 0.75, 0.67, 0.59, 
##     0.53, 0.45, 0.39, 0.29, 0.21, 0.13, 0.08, 0.03, -0.03, -0.06, 
##     -0.1, -0.1, -0.1, -0.08, -0.02, 0, 0, 0, 0.03, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.03, 0.05, 0.05, 0.05, 0.03, 0.06, 0.06, 
##     0.08, 0.06, 0.05, 0.08, 0.1, 0.13, 0.13, 0.08, 0.05, 0.05, 
##     0.06, 0.06, 0.06, -0.03, -0.13, -0.13, -0.05, 0.02, 0.06, 
##     -0.02, -0.03, -0.02, 0, 0.03, -0.05, -0.06, 0.02, 0.02, 0.03, 
##     0.05, 0.03, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.05, -0.08, 
##     -0.08, -0.05, -0.02, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, 
##     0.02, 0.02, 0.02, 0.03, 0.06, 0.08, 0.08, 0.08, 0.14, 0.13, 
##     0.13, 0.32, 0.43, 0.71, 0.82, 1.19, 1.22, 1.46, 1.43, 1.49, 
##     1.59, 1.46, 1.59, 1.32, 1.22, 1.08, 0.85, 0.56, 0.43, 0.14, 
##     0.05, -0.05, -0.19, -0.35, -0.32, -0.1, -0.02, 0.05, 0.1, 
##     0.18, 0.24, 0.29, 0.32, 0.31, 0.26, 0.13, 0, -0.83, -1.16, 
##     -1.59, -2.17, -2.76, -3.13, -3.66, -3.9, -4.22, -4.58, -5.17, 
##     -5.41, -5.49, -5.48, -5.48, -5.64, -5.68, -5.65, -4.88, -4.72, 
##     -4.09, 0.51, 1.46, 2.23, 2.75, 3.55, 3.84, 4, 3.98, 4.16, 
##     4.46, 4.5, 4.62, 4.21, 4.35, 4.42, 4.22, 4.26, 4.32, 3.02, 
##     1.99, 1.01, 0.56, -0.32, -0.67, -2.2, -2.86, -3.36, -4.08, 
##     -4.42, -4.69, -5.3, -5.48, -5.62, -5.36, -5.04, -4.88, -4.58, 
##     -4.3, -3.44, -2.94, -0.87, 2.34, 2.76, 3.56, 3.74, 4.01, 
##     4.51, 4.46, 4.53, 4.64, 4.35, 4.87, 4.46, 3.9, 3.56, 3.24, 
##     2.57, 0.92, -0.96, -2.38, -2.91, -3.34, -4.06, -4.38, -4.67, 
##     -5.22, 0.53, -1.88, -2.92, -3.32, -4.03, -4.26, -4.53, -4.87, 
##     -5.14, -5.06, -4.78, -4.42, -4.27, -3.21, -2.87, -1.3, 0.59, 
##     1.69, 2.49, 3.26, 3.52, 3.79, 3.53, 3.61, 3.74, 3.87, 3.58, 
##     3.61, 3.37, 0.47, 0.22, -0.31, -0.63, -1, -1.36, -1.75, -2.18, 
##     -2.94, 1.96, 1.06, 0.75, 0.48, -2.17, -4.05, -4.21, -4.59, 
##     -4.59, -4.53, -3.97, -3.82, -3.73, -3.2, -0.79, -3.36, -3.63, 
##     -4.5, -4.82, -4.75, -4.61, -4.54, -4.42, -4.26, -3.97, -3.66, 
##     -3.05, -2.7, -2.23, -1.65, -0.27, 1.08, 1.57, 2.25, 2.59, 
##     2.84, 2.97, 3.58, 3.39, 3.58, 3.74, 3.66, 4.21, 3.93, 3.68, 
##     0.21, -0.69, -1.09, -3.42, -4.24, -4.45, -4.66, -4.87, -5.11, 
##     -5.07, -4.98, -3.24, -2.75, -1.67, 0.59, 0.53, 0.39, 0.26, 
##     0.05, -0.22, -0.51, -0.77, -1.25, -1.69, -1.99, -2.15, -2.28, 
##     -2.42, -2.31, -1.96, -1.91, -1.3, -1.01, -0.79, -0.32, -0.13, 
##     0, 0.21, 0.4, 0.55, 0.8, 0.95, 0.98, 1.06, 1.16, 1.32, 1.4, 
##     1.69, 1.78, 1.86, 1.85, 1.85, 1.91, 1.88, 1.85, 1.88, 1.91, 
##     1.85, 1.77, 1.81, 1.62, 1.54, 1.35, 1.25, 1.09, 1.06, 1.03, 
##     1.01, 0.92, 0.9, 0.85, 0.77, 0.66, 0.56, 0.51, 0.5, 0.47, 
##     0.45, 0.43, 0.42, 0.35, 0.27, -0.61, -0.83, -1.03, -1.65, 
##     -2.07, -2.17, -2.26, -2.33, -2.55, -2.57, -2.3, -2.1, -1.96, 
##     -1.78, -0.69, -0.53, -0.37, 0.35, 0.67, 0.77, 0.92, 1.22, 
##     1.69, 1.83, 2.28, 2.39, 2.54, 2.59, 2.46, 2.3, 2.25, 2.07, 
##     1.91, 1.77, 1.64, 1.62, 1.36, 1.14, 1.04, 0.98, 0.96, 0.96, 
##     0.67, 0.58, 0.53, 0.37, 0.26, 0.18, 0.1, 0.03, -0.03, -0.18, 
##     -0.31, -0.4, -0.5, -0.58, -0.82, -1.46, -1.57, -1.69, -2.07, 
##     -1.75, -1.69, -1.35, -1.25, -1.04, -0.92, -0.66, -0.48, -0.32, 
##     -0.02, 0.11, 0.58, 0.83, 1.16, 1.32, 1.46, 1.83, 1.99, 2.34, 
##     2.78, 2.6, 2.46, 2.15, 2.12, 1.72, 1.67, 1.57, 1.43, 1.06, 
##     0.92, 0.88, 0.74, 0.53, 0.48, 0.43, 0.37, 0.13, -0.08, -0.43, 
##     -0.64, -0.72, -0.8, -0.9, -1.16, -1.28, -1.4, -1.54, -1.69, 
##     -2.07, -2.46, -2.55, -2.75, -2.71, -2.67, -2.59, -2.47, -2.38, 
##     -1.86, -1.75, -1.4, -1.14, -0.83, -0.45, 0.61, 0.63, 0.59, 
##     0.53, 0.5, 0.5, 0.5, 0.53, 0.56, 0.58, 0.58, 0.59, 0.63, 
##     0.72, 1.33, 1.53, 1.7, 2.1, 2.3, 2.49, 2.67, 3.05, 3.32, 
##     3.36, 3.15, 2.71, 2.71, 2.17, 1.94, 1.8, 1.72, 1.72, 1.36, 
##     1.32, 1.3, 1.2, 1.2, 1.2, 1.09, 1.01, 0.8, 0.72, 0.67, 0.55, 
##     0.48, 0.4, 0.39, 0.39, 0.31, 0.29, 0.22, 0.21, 0.18, 0.14, 
##     0.13, 0.13, 0.03, 0, -0.02, -0.1, -0.06, -0.05, 0.02, 0.03, 
##     0.06, 0.11, 0.16, 0.19, 0.22, 0.27, 0.4, 0.39, 0.4, 0.43, 
##     0.47, 0.48, 0.71, 0.79, 0.77, 0.74, 0.63, 0.56, 0.56, 0.55, 
##     0.48, 0.34, 0.31, 0.29, 0.27, 0.18, 0, -0.1, -0.55, -0.92, 
##     -2.31, -2.79, -3.2, -3.82, -3.98, -4.08, -4.16, -4.19, -4.01, 
##     -3.97, -3.95, -3.76, -3.37, -3.16, -2.71, -2.06, -1.88, -1.7, 
##     -1.48, -1.22, -1.04, -0.85, -0.58, -0.05, 0.16, 0.34, 0.75, 
##     1.24, 1.36, 1.54, 1.89, 2.01, 2.31, 2.39, 3.08, 3.2, 3.28, 
##     3.4, 3.36, 3.31, 3.34, -2.26, -2.49, -2.68, -2.81, -2.94, 
##     -3.12, -3.4, -3.52, -3.6, -3.53, -3.56, -3.58, -3.31, -3.24, 
##     -3.21, -3.18, -3.07, -2.55, -2.42, -1.7, -1.35, -0.45, -0.21, 
##     -0.02, 0.92, 1.43, 1.83, 1.98, 2.28, 2.86, 3.21, 3.28, 3.52, 
##     3.5, 3.47, 3.48, 3.36, 3.36, 3.42, 3.42, 3.36, 3.34, 3.1, 
##     2.92, 2.79, 2.75, 2.78, 2.68, 2.41, 2.41, 2.49, 2.28, 1.62, 
##     1.35, 0.69, 0.48, -0.45, -0.95, -1.25, -1.49, -2.07, -2.67, 
##     -3.02, -3.18, -3.37, -3.44, -3.69, -3.69, -3.73, -3.81, -3.74, 
##     -3.58, -3.52, -3.36, -3.31, -3.28, -3, -2.68, -2.52, -2.2, 
##     -1.85, -1.7, -0.79, -0.63, -0.43, 0.51, 0.74, 0.92, 1.06, 
##     1.2, 1.3, 1.53, 1.8, 1.91, 2.06, 2.99, 2.67, 2.62, 2.47, 
##     2.25, 1.96, 1.33, 1.16, 0.56, 0.31, 0.06, -1.36, -2.15, -2.31, 
##     -3.52, -3.4, -3.36, -2.99, -2.92, -2.86, -2.76, -2.7, 2.41, 
##     2.55, 2.83, 3, 3.16, 3.16, 3.1, 3.2, 3.15, 2.94, 3, 3.08, 
##     3, 3.18, 3.08, 3.13, 3, 2.95, 3.34, 3.36, 3.31, 3.36, 3.18, 
##     3.02, 2.92, 2.84, 2.7, 2.6, 2.54, 2.22, 2.04, 1.32, 1.14, 
##     1.08, 1.17, 1.22, 1, 0.83, 0.42, 0.21, 0.06, -0.24, -0.69, 
##     -1.53, -1.99, 0.4, 0.42, 0.43, 0.43, 0.43, 0.42, 0.42, 0.43, 
##     0.53, 0.48, 0.55, 0.5, 0.47, 0.34, 0.31, 0.29, 0.19, 0.21, 
##     0.27, 0.31, -3.1, -3.6, -3.79, -4.08, -4.17, -4.17, -4.14, 
##     -4.11, -4.11, -4.32, -4.53, -4.32, -3.97, -3.58, -3.15, -2.1, 
##     0.61, 1.33, 1.77, 2.25, 2.36, 2.87, 3.24, 3.42, 3.24, 3.32, 
##     3.16, 3.02, 2.5, 2.34, 1.8, 1.46, -0.55, -1.03, 3.39, 3.6, 
##     3.71, 3.34, 3.37, 2.81, 2.6, 1.96, 1.22, 0.96, 0.74, 0.55, 
##     0.34, -0.13, -0.37, -0.96, -1.28, -1.86, -2.14, -2.86, -3.48, 
##     -4.14, -4.26, -4.35, -4.45, -4.48, -4.46, -4.54, -5.28, -5.46, 
##     -5.72, -5.84, -5.41, -3.36, 1.94, 2.52, 2.87, 3.2, 3.2, 3.39, 
##     3.37, 3.76, 3.84, 3.79, 3.84, 3.93, 3.9, 3.63, 3.52, 2.91, 
##     2.86, 2.91, 2.87, 2.47, 2.04, 1.04, 0.83, 0.02, -0.18, -1.06, 
##     -1.61, -1.81, -2.06, -2.3, -2.97, -3.42, -3.97, -4.21, -4.29, 
##     -4.34, -4.38, -4.43, -4.42, -4.4, -4.35, -4.32, -4.13, -4.16, 
##     -4.09, -4.03, -3.95, -3.61, -3.42, -3.05, -2.23, -1.46, 1.41, 
##     1.93, 2.23, 2.6, 2.94, 3.1, 3.37, 3.58, 3.15, 3.12, 3.1, 
##     3.1, 3.2, 3.24, 3.03, 3.23, 3.55, 3.74, 3.74, 3.79, 3.89, 
##     3.52, 3.77, 3.77, 3.68, 3.64, 3.64, 3.42, 3.4, 3.31, 3.13, 
##     2.89, 1.41, 0.88, 0.53, 0.24, -0.24, 2.22, 2.46, 2.6, 2.92, 
##     3.18, 3.36, 3.55, 3.74, 4.17, 4.34, 4.62, 4.53, 4.29, 3.85, 
##     3.6, 3.48, 3.1, 3.02, 2.84, 2.52, 1.64, 1.3, 1.2, 1.09, 0.55, 
##     0.27, 0.08, -0.06, -0.63, -4.5, -4.54, -4.56, -4.67, -4.58, 
##     -4.59, -4.53, -4.38, -4.27, -4.22, -3.68, -3.4, -3.13, -2.5, 
##     -1.25, -0.34, 1.27, -0.22, -0.16, -0.16, -0.21, -0.24, -0.29, 
##     -0.31, -0.31, -0.29, -0.27, -0.31, -0.27, -0.32, -0.37, -0.34, 
##     -0.34, -0.32, -0.34, -0.48, -0.56, -0.53, -0.56, -0.56, -0.51, 
##     -0.48, -0.51, -0.48, -0.43, -0.39, -0.31, -0.24, -0.21, -0.21, 
##     -0.18, -0.13, -0.06, -0.02, 0.1, 0.18, 0.21, -0.24, 0.42, 
##     2.09, 2.71, 2.95, 3.52, 3.77, 4.01, 4.21, 3.68, 3.89, 4.24, 
##     3.73, 3.6, 4.4, 3.37, 3.29, 2.14, 1, 0.67, 0.4, -0.05, -0.29, 
##     -0.64, -1.48, -1.86, -2.25, -2.99, -3.76, -4.06, -4.42, -4.62, 
##     -4.58, -4.45, -4.27, -4.08, -4.21, -4.22, -2.54, 0.5, 1.19, 
##     1.7, 3, 3.28, 3.5, 3.39, 3.73, 3.53, 3.68, 3.73, 2.57, 2.49, 
##     2.47, 2.5, 2.49, 2.34, 2.25, 2.01, 1.65, 1.46, 0.9, -0.16, 
##     -0.93, -1.11, -1.25, -1.36, -1.53, -2.2, -2.47, -2.55, -2.63, 
##     1, 1.45, 2.49, 2.73, 2.89, 3.02, 3.53, 3.55, 3.76, 3.6, 3.5, 
##     3.63, 3.76, 3.64, 3.97, 4.03, 3.18, 2.28, 0.88, 0.58, 0.29, 
##     -0.31, -1.03, -1.88, -3.03, -4.16, -4.38, -4.43, -4.48, -4.56, 
##     -4.7, -4.77, -4.8, -4.13, -2.68, -1.35, -0.69, 0.02, 1.19, 
##     1.64, 2.78, 3.34, 3.74, 4.06, 3.74, 3.85, 3.48, 3.48, 3.85, 
##     3.74, 3.89, -5.33, -5.31, -5.06, -4.13, -4.11, -4.19, -3.12, 
##     -2.26, -1.8, 0.66, 1.41, 2.02, 2.5, 3.12, 3.42, 3.61, 3.84, 
##     4.09, 4.22, 3.92, 4.09, 4.19, 4.82, 4.29, 2.5, 1.8, 0.02, 
##     -0.05, -0.08, -0.11, -0.1, 0, -0.02, 0, -0.02, 0.03, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.06, 0.03, 0.06, 0.06, 0.05, 
##     0.03, 0.02, 0.03, 0.03, 0.05, 0.05, 0.02, 0.03, 1.11, 2.5, 
##     3.05, 3.36, 3.39, 3.63, 3.47, 3.39, 3.26, 3.2, 2.99, 2.78, 
##     2.68, 2.18, 1.83, 1.7, 1.62, 1.32, 0.87, -0.51, -0.79, -1, 
##     2.34, 2.62, 2.99, 3.2, 2.99, 2.84, 2.75, 2.6, 2.34, 2.18, 
##     2.23, 2.18, 1.69, 1.41, 0.88, -0.67, -1.03, -1.65, -1.91, 
##     -2.2, -2.44, -2.65, -2.84, -3.05, 3.23, 3.1, 3.03, 2.79, 
##     2.76, 2.71, 2.59, 2.62, 2.95, 2.91, 2.84, 2.87, 2.76, 2.62, 
##     2.42, 1.88, 1.51, 1.03, 0.98, 0.67, 0.63, 0.18, 0.1, -0.29, 
##     -0.5, -0.5, 1.88, 2.01, 2.09, 2.7, 3.07, 3.84, 3.6, 2.46, 
##     2.17, 1.81, 1.03, 0.83, 0.74, 0.59, 0, -0.27, -0.4, -0.47, 
##     -0.5, -0.47, -0.48, -0.58, -0.58, -0.51, -0.37, -0.22, -0.18, 
##     -0.21, -0.18, -0.19, -0.48, -1.32, -2.15, -2.47, -2.75, -2.97, 
##     -3.74, -4.06, -4.72, -4.87, -5.01, -5.27, -5.57, -5.44, -5.25, 
##     -4.78, -4.61, -4.37, -4.14, -2.62, -2.17, -0.59, 0.39, 2.15, 
##     1.69, 1.27, 0.75, 0.34, -0.66, -1.99, -2.33, -3.82, -4.13, 
##     -4.42, -4.67, -4.87, -4.56, -4.59, -4.59, -4.13, -3.74, -2.54, 
##     1.7, 2.46, 3.03, -1.4, -1.72, -2.07, -2.39, -2.71, -3.31, 
##     -3.53, -3.77, -4.19, -4.24, -4.45, -4.54, -4.61, -4.64, -4.59, 
##     -4.58, -4.54, -4.3, -3.63, -3.29, -2.91, -1.73, 0.1, 0.96, 
##     1.57, 2.34, 3.13, 3.24, 3.13, 3.08, 2.87, 2.95, 2.71, 2.59, 
##     2.65, 2.54, 2.7, 2.73, 2.79, 2.75, 2.52, 2.12, 2.01, 0.75, 
##     0.43, -0.1, -0.42, -0.63, -0.85, -1.51, -3.84, -3.87, -3.68, 
##     -3.4, -2.42, -0.85, 0.51, 1.04, 1.61, 1.98, 2.65, 2.81, 3.53, 
##     3.69, 3.73, 3.74, 3.66, 3.64, 3.63, 3.55, 3.5, 3.2, 3.08, 
##     3.05, 3.08, 3, 2.94, 2.71, 2.59, 2.04, 1.88, 1.69, 1.45, 
##     0.92, 0.19, -0.1, -0.37, -1.14, -1.33, -1.51, -1.69, -2.25, 
##     -2.6, -3, -3.07, -3.39, -3.45, -3.47, -3.44, -3.37, -3.58, 
##     -3.77, -3.36, -3.5, -3.71, -1.88, -0.29, 0.39, 1.38, 1.48, 
##     1.54, 1.64, 1.75, 1.85, 2.06, 2.71, 2.78, 3.12, 3.31, 3.52, 
##     3.6, 3.73, 2.12, 2.22, 2.22, 2.36, 2.5, 2.5, 2.59, 2.71, 
##     2.55, 2.73, 2.54, 2.42, 2.28, 1.98, 1.86, 1.59, 1.43, 1.3, 
##     1.2, 1.12, 0.77, 0.61, 0.47, 0.37, 0.18, 0.06, 0.03, 0.02, 
##     -0.02, 0.29, -0.1, -2.04, -2.28, -3.39, -3.79, -3.82, -3.68, 
##     -3.58, -3.66, -3.76, -3.79, -2.36, -2.25, -2.14, -1.96, -1.73, 
##     -1.62, -1.43, -0.48, 0.31, 0.55, 0.88, 0.98, 1.35, 1.51), 
##     gyros_arm_y = c(0, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
##     -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, 0, 0, 0, 0, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, 
##     -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 0, 0, 0, 
##     0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, 
##     0, -0.02, -0.02, 0, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 
##     -0.02, -0.02, -0.02, 0, 0, 0, 0, -0.02, -0.02, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
##     -0.02, 0, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 0, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.03, -0.05, 
##     -0.03, -0.05, -0.03, -0.05, -0.03, -0.05, -0.05, -0.05, -0.05, 
##     -0.05, -0.05, -0.06, -0.06, -0.03, -0.02, -0.02, 0, -0.02, 
##     -0.03, -0.05, -0.03, -0.05, -0.05, -0.08, -0.08, -0.08, -0.1, 
##     -0.08, -0.06, -0.05, -0.05, -0.05, -0.05, -0.06, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, 0.4, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.26, -0.26, -0.24, -0.24, -0.24, -0.24, -0.22, -0.22, -0.18, 
##     -0.1, -0.06, -0.1, -0.13, -0.14, -0.18, -0.26, -0.24, -0.26, 
##     -0.22, -0.22, -0.22, -0.22, -0.22, -0.24, -0.24, -0.22, -0.21, 
##     -0.21, -0.21, -0.21, -0.19, -0.21, -0.21, -0.19, -0.19, -0.19, 
##     -0.21, -0.19, -0.21, -0.22, -0.22, -0.22, -0.21, -0.19, -0.19, 
##     -0.22, -0.22, -0.22, -0.24, -0.22, -0.21, -0.19, -0.14, -0.1, 
##     -0.08, 0.02, 0.03, 0.08, 0.1, 0.13, 0.18, 0.19, 0.22, 0.26, 
##     0.27, 0.29, 0.32, 0.43, 0.45, 0.47, 0.5, 0.51, 0.53, 0.55, 
##     0.55, 0.56, 0.58, 0.58, 0.59, 0.58, 0.51, 0.48, 0.48, 0.29, 
##     0.29, 0.34, 0.37, 0.47, 0.43, 0.37, -0.16, -0.34, -0.66, 
##     -0.75, -0.93, -1.12, -1.17, -1.24, -1.27, -1.25, -1.25, -1.27, 
##     -1.25, -1.3, -1.3, -1.24, -1.25, -1.28, -0.96, -0.87, -1.04, 
##     -1.06, -0.8, -0.4, -0.27, -0.14, -0.05, -0.02, -0.02, 0.02, 
##     0.06, 0.1, 0.11, 0.21, 0.35, 0.4, 0.58, 0.63, 0.59, 0.58, 
##     0.58, 0.58, 0.55, 0.47, 0.43, 0.45, 0.51, 0.58, 0.69, 0.69, 
##     0.74, 0.64, 0.58, 0.45, 0.27, 0.05, -0.61, -1, -1.01, -1.04, 
##     -1.08, -1.11, -1.14, -1.14, -1.14, -1.03, -0.98, -0.96, -0.92, 
##     -0.92, -1.04, -1.11, -1.17, -1.11, -1.04, 0.47, 0.47, 0.51, 
##     0.48, 0.42, 0.45, 0.53, 0.59, 0.66, 0.66, 0.63, 0.37, 0.22, 
##     -0.14, -0.32, -0.63, -0.75, -1.01, -1.09, -1.35, -1.38, -1.33, 
##     -1.28, -1.25, -1.24, -1.22, -1.25, -1.25, -1.06, -1.03, -1, 
##     -1.03, -0.92, -0.87, -0.83, -0.77, -0.71, -0.69, -0.64, -0.59, 
##     -0.55, -0.56, -0.55, -0.51, -0.43, -0.37, -0.05, 0, 0.05, 
##     0.06, 0.1, 0.16, 0.31, 0.34, 0.32, 0.39, 0.37, 0.4, 0.5, 
##     0.61, 0.72, 0.82, 0.88, 0.71, 0.67, 0.64, 0.64, 0.77, 0.82, 
##     0.85, 0.79, 0.75, 0.71, 0.71, 0.69, 0.71, 0.71, 0.63, 0.59, 
##     0.51, 0.37, 0.21, 0.05, -0.27, -0.4, -0.69, -0.95, -1.27, 
##     -1.4, -1.43, -1.43, -1.43, -1.43, -1.36, -1.35, -1.08, -0.96, 
##     -0.9, -0.85, -0.85, -0.82, -0.87, -0.67, -0.59, -0.45, -0.48, 
##     -0.5, -0.53, -0.58, -0.5, -0.43, -0.18, -0.1, -0.03, 0.03, 
##     0.22, 0.31, 0.5, 0.53, 0.59, 0.75, 0.82, 0.88, 0.83, 0.8, 
##     0.77, 0.75, -1.14, -1.04, -1, -1.01, -0.98, -0.92, -0.93, 
##     -0.96, -0.87, -0.95, -0.92, -0.82, -0.82, -0.14, -0.08, 0.02, 
##     0.1, 0.26, 0.4, 0.45, 0.47, 0.5, 0.53, 0.61, 0.85, 0.98, 
##     1, 0.9, 0.85, 0.77, 0.79, 0.82, 0.75, 0.64, 0.64, 0.59, 0.53, 
##     0.42, -0.64, -0.96, -1.11, -1.19, -1.25, -1.32, -1.38, -1.41, 
##     -1.49, -1.53, -1.54, -1.53, -1.46, -1.38, -1.2, -1.22, -1.19, 
##     -1.19, -1.11, -0.92, -0.74, -0.8, -0.82, -0.77, -0.67, -0.56, 
##     -0.47, -0.39, -0.13, 0, 0.06, 0.14, 0.22, 0.27, 0.37, 0.4, 
##     0.48, 0.56, 0.72, 0.66, 0.47, 0.55, 0.59, 0.66, 0.61, 0.55, 
##     0.5, 0.47, -0.58, -0.72, -0.85, -1.17, -1.24, -1.41, 0.13, 
##     0.29, 0.34, 0.37, 0.71, 0.74, 0.83, 0.82, 0.8, 0.8, 0.75, 
##     0.72, 0.71, 0.69, 0.61, 0.56, 0.5, 0.51, 0.48, 0.48, 0.47, 
##     0.37, 0.31, 0.22, -0.14, -0.29, -0.59, -0.74, -0.96, -0.5, 
##     -0.29, -0.26, -0.13, -0.11, 0.11, 0.32, 0.37, 0.39, 0.4, 
##     0.55, 0.63, 0.79, 0.85, 0.75, 0.75, 0.83, 0.85, 0.87, 0.87, 
##     0.9, 0.19, -1.19, -1.35, -1.48, -1.61, -1.69, -1.8, -1.78, 
##     -1.57, 0.9, 0.75, 0.72, 0.69, 0.69, 0.69, 0.75, 0.74, 0.75, 
##     0.77, 0.69, 0.43, -0.02, -0.27, -0.53, -1, -1.19, -1.56, 
##     -1.7, -1.83, -1.98, -1.75, -1.62, -1.64, -1.35, -1.2, -1.12, 
##     -0.95, -0.95, -0.93, -0.83, -0.71, -0.53, -0.43, -0.39, -0.47, 
##     -0.18, -0.19, -0.22, -0.24, -0.21, -0.19, -0.16, -0.16, -0.13, 
##     -0.16, -0.27, -0.32, -0.42, -0.47, -0.51, -0.55, -0.51, -0.43, 
##     -0.43, -0.43, -0.53, -0.58, -0.63, -0.66, -0.64, -0.63, -0.61, 
##     -0.58, -0.53, -0.43, -0.37, -0.34, -0.32, -0.32, -0.29, -0.29, 
##     -0.27, -0.26, -0.31, -0.37, -0.39, -0.42, -0.48, -0.59, -0.61, 
##     -0.58, -0.53, -0.58, -0.56, -0.48, -0.43, -0.42, -0.4, -0.4, 
##     -0.42, -0.43, -0.45, -0.45, -0.47, -0.45, -0.47, -0.5, -0.53, 
##     -0.56, -0.59, -0.63, -0.66, -0.66, -0.64, -0.59, -0.59, -0.59, 
##     -0.59, -0.59, -0.53, -0.5, -0.5, -0.51, -0.53, -0.53, -0.58, 
##     -0.61, -0.71, -0.77, -0.9, -0.92, -0.85, -0.47, -0.4, -0.42, 
##     -0.55, -0.58, -0.59, -0.59, -0.55, -0.51, -0.5, -0.51, -0.51, 
##     -0.5, -0.47, -0.45, -0.45, -0.53, -0.55, -0.61, -0.61, -0.64, 
##     -0.64, -0.63, -0.51, -0.47, -0.42, -0.42, -0.47, -0.53, -0.51, 
##     -0.5, -0.48, -0.48, -0.5, -0.51, -0.53, -0.53, -0.51, -0.51, 
##     -0.51, -0.5, -0.5, -0.51, -0.53, -0.5, -0.5, -0.5, -0.48, 
##     -0.48, -0.47, -0.5, -0.51, -0.51, -0.53, -0.53, -0.55, -0.53, 
##     -0.55, -0.53, -0.53, -0.51, -0.51, -0.51, -0.53, -0.53, -0.53, 
##     -0.53, -0.51, -0.51, -0.45, -0.43, -0.43, -0.53, -0.55, -0.58, 
##     -0.55, -0.51, -0.47, -0.42, -0.42, -0.43, -0.45, -0.45, -0.45, 
##     -0.48, -0.48, -0.48, -0.48, -0.5, -0.53, -0.56, -0.66, -0.66, 
##     -0.61, -0.58, -0.56, -0.58, -0.59, -0.59, -0.59, -0.58, -0.56, 
##     -0.55, -0.53, -0.51, -0.56, -0.56, -0.48, -0.45, -0.45, -0.45, 
##     -0.45, -0.45, -0.45, -0.43, -0.4, -0.39, -0.37, -0.37, -0.39, 
##     -0.37, -0.5, -0.48, -0.47, -0.45, -0.43, -0.37, -0.06, 0.03, 
##     0.08, 0.08, 0.06, 0.03, 0, -0.02, -0.06, -0.02, 0.03, 0.08, 
##     0.18, 0.18, 0.16, -0.1, -0.18, -0.31, -0.35, -0.32, -0.32, 
##     -0.29, -0.32, -0.43, -0.53, -0.58, -0.56, -0.56, -0.55, -0.55, 
##     -0.53, -0.53, -0.55, -0.53, -0.55, -0.51, -0.5, -0.47, -0.48, 
##     -0.5, -0.51, -0.51, -0.51, -0.51, -0.51, -0.51, -0.5, -0.47, 
##     -0.39, -0.24, -0.19, -0.27, -0.29, -0.32, -0.39, -0.47, -0.5, 
##     -0.51, -0.48, -0.47, -0.48, -0.48, -0.1, -0.13, -0.19, -0.24, 
##     -0.29, -0.34, -0.37, -0.39, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.34, -0.34, -0.31, -0.24, -0.22, -0.5, -0.5, -0.51, -0.51, 
##     -0.5, -0.48, -0.5, -0.48, -0.5, -0.5, -0.5, -0.5, -0.5, -0.51, 
##     -0.5, -0.5, -0.51, -0.51, -0.53, -0.53, -0.53, -0.55, -0.53, 
##     -0.53, -0.59, -0.58, -0.51, -0.51, -0.48, -0.48, -0.48, -0.56, 
##     -0.53, -0.51, -0.51, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 
##     -0.5, -0.5, -0.51, -0.53, -0.48, -0.53, -0.56, -0.53, -0.55, 
##     -0.56, -0.58, -0.63, -0.66, -0.69, -0.69, -0.69, -0.69, -0.67, 
##     -0.63, -0.56, -0.51, -0.5, -0.5, -0.48, -0.45, -0.51, -0.48, 
##     -0.45, -0.48, -0.47, -0.37, -0.45, -0.45, -0.43, -0.43, -0.37, 
##     -0.31, -0.71, -0.64, -0.51, -0.43, -0.39, -0.47, -0.51, -0.61, 
##     -0.71, -0.75, -0.72, -0.51, -0.43, -0.4, -0.37, -0.35, -0.47, 
##     -0.5, -0.61, -0.58, -0.53, -0.51, -0.55, -0.58, -0.56, -0.51, 
##     -0.55, -0.55, -0.58, -0.55, -0.51, -0.51, -0.56, -0.59, -0.55, 
##     -0.47, -0.47, -0.45, -0.39, -0.35, -0.31, -0.32, -0.34, -0.39, 
##     -0.47, -0.5, -0.55, -0.61, -0.59, -0.55, -0.51, -0.48, -0.47, 
##     -0.51, -0.5, -0.48, -0.48, -0.48, -0.32, -0.35, -0.42, -0.39, 
##     -0.37, -0.39, -0.42, -0.42, -0.42, -0.4, -0.43, -0.47, -0.51, 
##     -0.61, -0.72, -0.58, -0.48, -0.35, -0.06, -0.16, -0.21, -0.32, 
##     -0.5, -0.51, -0.48, -0.35, -0.42, -0.55, -0.58, -0.58, -0.56, 
##     -0.58, -0.61, -0.59, -0.59, -0.59, -0.59, -0.58, -0.58, -0.58, 
##     -0.58, -0.59, -0.61, -0.61, -0.61, -0.64, -0.67, -0.69, -0.71, 
##     -0.63, -0.63, -0.59, -0.56, -0.53, -0.5, -0.45, -0.4, -0.32, 
##     -0.29, -0.24, -0.14, -0.13, -0.08, -0.11, -0.39, -0.48, -0.5, 
##     -0.51, -0.55, -0.58, -0.63, -0.71, -0.71, -0.67, -0.64, -0.64, 
##     -0.66, -0.66, -0.61, -0.26, -0.26, -0.27, -0.27, -0.32, -0.47, 
##     -0.48, -0.48, -0.48, -0.37, -0.32, -0.29, -0.27, -0.29, -0.4, 
##     -0.42, -0.45, -0.48, -0.5, -0.51, -0.51, -0.5, -0.56, -0.56, 
##     -0.58, -0.58, -0.61, -0.69, -0.82, -0.95, -0.93, -0.92, -0.88, 
##     -0.85, -0.93, -1.01, -1, -0.98, -0.93, -0.95, -1.01, -1.03, 
##     -1.04, -1.09, -1.06, -1.04, -1.06, -0.85, -0.79, -0.79, -0.79, 
##     -0.83, -0.83, -0.8, -0.75, -0.72, -0.69, -0.55, -0.53, -0.51, 
##     -0.51, -0.51, -0.51, -0.51, -0.55, -0.53, -0.53, -0.53, -0.5, 
##     -0.5, -0.51, -0.19, -0.1, 0, -0.59, -0.58, -0.56, -0.58, 
##     -0.56, -0.63, -0.67, -0.87, -0.93, -0.95, -0.92, -0.9, -0.96, 
##     -0.93, -0.98, -0.95, -0.96, -1.01, -0.98, -1.01, -1.06, -1.06, 
##     -1.03, -1.01, -1.03, -0.98, -0.96, -0.93, -0.88, -0.75, -0.71, 
##     -0.66, -0.67, -0.74, -0.77, -0.87, -0.55, -0.53, -0.53, -0.53, 
##     -0.45, -0.56, -0.58, -0.58, -0.58, -0.56, -0.55, -0.56, -0.5, 
##     -0.42, -0.21, 0.03, 0.13, 0.24, 0.22, 0.21, 0.16, 0.14, 0.1, 
##     0.02, -0.06, -0.16, -0.19, -0.19, -0.21, -0.26, -0.31, -0.34, 
##     -0.35, -0.35, -0.37, -0.37, -0.42, -0.45, -0.47, -0.48, -0.48, 
##     -0.48, -0.47, -0.4, -0.42, -0.45, -0.5, -0.5, -0.5, -0.51, 
##     -0.58, -0.67, -0.67, -0.69, -0.85, -0.9, -0.98, -1.03, -1.03, 
##     -1.06, -1.08, -1.14, -1.38, -1.36, -1.35, -1.35, -1.3, -1.22, 
##     -1.16, -1.16, -1.32, -1.25, -0.92, -0.96, -1, -0.98, -0.93, 
##     -0.8, -0.74, -0.66, -0.77, -0.79, -0.72, -0.61, -0.55, -0.48, 
##     -0.48, -0.51, -0.55, -0.51, -0.55, -0.55, -0.56, -0.56, -0.51, 
##     -0.5, -0.42, -0.4, -0.37, -0.24, 0.06, 0.14, 0.21, 0.24, 
##     0.29, 0.42, 0.43, 0.37, 0.29, 0.03, -0.08, -0.06, -0.16, 
##     -0.21, -0.27, -0.32, -0.34, -0.34, -0.32, -0.35, -0.39, -0.45, 
##     -0.48, -0.53, -0.55, -0.55, -0.55, -0.59, -0.63, -0.61, -0.61, 
##     -0.66, -0.8, -0.87, -0.95, -1.12, -1.24, -1.25, -1.27, -1.12, 
##     -1.12, -1.11, -1.11, -1.16, -1.3, -1.38, -1.59, -1.46, -1.32, 
##     -1.2, -1.11, -1, -1.03, -1.09, -1, -1.01, -1.11, -0.98, -0.85, 
##     -0.79, -0.77, -0.82, -0.83, -0.88, -0.8, -0.59, -0.53, -0.51, 
##     -0.5, -0.48, -0.43, -0.39, -0.1, 0.06, 0.48, 0.58, 0.64, 
##     0.66, 0.61, 0.31, 0.26, 0.21, 0.18, 0.19, -0.05, -1.46, -1.24, 
##     -1.27, -1.3, -1.33, -0.98, -1.01, -1.03, -0.98, -0.95, -0.79, 
##     -0.79, -0.9, -0.92, -0.87, -0.87, -0.8, -0.71, -0.64, -0.45, 
##     -0.47, -0.43, -0.42, -0.4, -0.43, -0.55, -0.55, -0.32, -0.14, 
##     0.11, 0.4, 0.42, 0.43, 0.45, 0.56, 0.59, 0.63, 0.58, 0.48, 
##     0.29, 0.05, 0.03, 0.16, -0.05, -0.06, -0.06, -0.16, -0.21, 
##     -0.26, -0.26, -0.26, -0.22, -0.21, -0.22, -0.32, -0.34, -0.35, 
##     -0.42, -0.43, -0.45, -0.48, -0.5, -0.5, -0.47, -0.48, -0.53, 
##     -0.55, -0.61, -0.69, -1.48, -1.46, -1.41, -1.36, -1.36, -1.4, 
##     -1.35, -1.35, -1.45, -1.4, -1.4, -1.32, -1.27, -1.25, -1.16, 
##     -1.16, -1.12, -1.08, -1.06, -1.06, -0.26, -0.27, -0.29, -0.5, 
##     -0.47, -0.4, -0.4, -0.42, -0.47, -0.5, -0.51, -0.53, -0.53, 
##     -0.51, -0.43, -0.45, -0.48, -0.51, -0.56, -0.58, -0.59, -0.63, 
##     -0.66, -0.67, -0.69, -0.74, -0.79, -0.85, -0.98, -1.09, -1.12, 
##     -1.17, -1.17, -1.17, -0.27, -0.19, -0.06, 0.18, 0.1, 0.06, 
##     -0.1, -0.19, -0.22, -0.26, -0.22, -0.19, -0.14, -0.1, -0.05, 
##     -0.05, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, -0.05, -0.05, 
##     -0.03, -0.02, 0, 0, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0, 
##     0, -0.02, 0, 0, 0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.05, -0.02, 0.02, 
##     0, 0, 0.02, 0, 0.02, 0, 0, 0, -0.02, -0.02, -0.02, 0, 0, 
##     0, -0.02, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 
##     0.02, 0, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 
##     0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0, 0, 0, 0, 0.02, 0.02, 0, -0.02, -0.02, -0.02, 0, 
##     0, 0, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, 0, -0.02, 
##     -0.02, 0, 0.02, 0, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, 
##     0, -0.06, -0.08, -0.06, -0.05, 0.03, 0.03, 0.05, 0.05, 0.03, 
##     0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.03, -0.05, -0.03, 
##     -0.03, -0.03, 0.08, 0.16, 0.26, 0.64, 0.82, 0.92, 0.92, 0.87, 
##     0.72, 0.67, 0.61, 0.55, 0.53, 0.5, 0.51, 0.51, 0.45, 0.4, 
##     0.32, 0.24, 0.16, 0.08, 0.02, 0.05, 0.13, 0.27, 0.27, -0.22, 
##     -0.26, -0.03, 0.03, 0.13, 0.16, 0.19, 0.16, 0.05, -0.1, -0.14, 
##     -0.13, 0, 0.02, 0.05, 0.08, 0.18, 0.22, 0.27, 0.32, 0.4, 
##     0.43, 0.48, 0.56, 0.63, 0.69, 0.74, 0.77, 0.8, 0.82, 0.87, 
##     0.74, 0.56, 0.48, 0.35, 0.29, 0.29, 0.34, 0.29, 0.18, 0.02, 
##     -0.19, -0.55, -0.48, 0.11, 0.06, -0.11, -0.21, -0.45, -0.51, 
##     -0.59, -0.63, -0.63, -0.64, -0.66, -0.72, -0.72, -0.77, -0.03, 
##     -0.03, -0.03, -0.03, -0.02, -0.02, 0.03, 0.06, 0.13, 0.18, 
##     0.22, 0.32, 0.51, 0.56, 0.58, 0.55, 0.67, 0.79, 0.82, 0.83, 
##     0.59, 0.56, 0.43, 0.26, 0.21, 0.19, 0.31, 0.4, 0.37, 0.27, 
##     -0.02, -0.16, -0.11, 0.03, -0.05, -0.69, -0.72, -0.72, -0.75, 
##     -0.77, -0.95, -0.98, -1.01, -1.09, -1.14, -1.14, -1.14, 0.02, 
##     -0.13, -0.29, -0.22, -0.24, -0.45, -0.55, -0.66, -0.75, -1.08, 
##     -1.19, -1.22, -1.2, -1.2, -1.19, -1.16, -1.16, -1.19, -1.33, 
##     -1.35, -1.33, -0.83, -0.79, -0.72, -0.66, -0.61, -0.59, -0.45, 
##     -0.37, -0.29, -0.05, 0, 0.11, 0.1, 0.05, 0.05, 0, 0.06, 0.11, 
##     0.18, 0.26, 0.53, 0.61, 0.66, 0.74, 0.77, 0.9, 0.96, 0.98, 
##     0.87, 0.82, 0.79, 0.74, 0.72, 0.69, 0.67, 0.66, 0.63, 0.59, 
##     0.59, 0.55, 0.42, 0.21, 0.32, -0.13, -0.32, -0.39, -0.4, 
##     -0.51, -0.71, -0.87, -1.04, -1.12, -1.16, -1.16, -1.12, -1.08, 
##     -1.01, -0.95, -0.92, -0.67, -0.66, -0.61, -0.53, -0.48, -0.32, 
##     -0.29, -0.24, -0.11, -0.05, 0.02, 0.05, 0.1, 0.08, 0.02, 
##     -0.08, -0.11, -0.13, -0.14, -0.14, -0.14, -0.1, 0.08, 0.14, 
##     0.19, 0.24, 0.32, 0.47, 0.5, 0.58, 0.67, 0.77, 0.87, 0.75, 
##     0.69, 0.69, 0.63, 0.55, 0.42, 0.34, 0.29, 0.22, 0.19, 0.24, 
##     0.43, 0.47, 0.47, 0.39, -0.08, -0.21, -0.29, -0.32, -0.31, 
##     -0.29, -0.27, -0.31, -0.29, -0.16, -0.08, -0.1, -0.1, -0.14, 
##     -0.16, -0.14, -0.11, 0, -0.02, -0.05, -0.05, -0.05, -0.05, 
##     -0.02, 0.18, 0.29, 0.39, 0.51, 0.58, 0.64, 0.71, 0.74, 0.79, 
##     0.8, 0.9, 1.06, 1.16, 1.14, 0.92, 0.79, 0.74, 0.69, 0.64, 
##     0.59, 0.47, 0.4, 0.35, -0.39, -0.31, -0.22, -0.18, -0.26, 
##     -0.9, -1.03, -1.06, -1.06, -1.06, -0.98, -0.92, -0.92, -1, 
##     -1.06, -1.17, -1.12, -1.04, -0.96, -0.85, -0.75, -0.63, -0.63, 
##     -0.64, -0.67, -0.69, -0.47, -0.34, -0.22, 0.08, 0.22, 0.21, 
##     0.1, -0.03, -0.06, -0.05, 0.08, 0.18, 0.26, 0.47, 0.59, 0.74, 
##     0.79, 0.79, 0.77, 0.75, 0.82, 1, 1.11, 1, 0.83, 0.61, 0.42, 
##     0.42, 0.43, 0.47, 0.48, 0.45, 0.32, 0.13, -0.27, -0.45, -0.45, 
##     -0.51, -0.61, -1.17, -1.25, -1.28, -1.3, -1.3, -1.36, -1.32, 
##     -1.28, -1.19, -1.11, -0.87, -0.82, -0.74, -0.72, -0.43, -0.32, 
##     -0.05, -0.02, -0.02, 0.18, 0.69, 0.77, 1.03, 1.16, 1.36, 
##     1.45, 1.46, 1.45, 1.43, 1.35, 1.14, 1.11, 1.03, 0.95, 0.9, 
##     0.85, 0.82, 0.77, 0.74, 0.71, 0.72, 0.74, 0.72, 0.56, -0.06, 
##     -0.5, -0.64, -0.74, -0.8, -0.95, -1.17, -0.02, -0.03, -0.05, 
##     -0.03, -0.02, -0.1, -0.03, -0.08, 0.05, 0.13, 0.13, 0, -0.05, 
##     -0.03, -0.05, -0.05, -0.05, -0.06, -0.08, -0.08, -0.02, 0, 
##     0.03, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, 
##     -0.02, 0.08, 0.16, 0.16, -0.02, -0.08, 0, 0.16, 0.21, 0.05, 
##     -0.14, -0.22, -0.22, -0.21, -0.18, -0.08, -0.05, -0.05, -0.02, 
##     0.05, 0.03, -0.05, -0.03, 0.05, 0.06, -0.02, -0.06, -0.1, 
##     -0.11, -0.11, -0.1, -0.05, 0.02, 0.06, 0.05, 0.05, 0.05, 
##     0.05, 0.1, 0.05, 0, -0.06, -0.06, -0.06, -0.03, -0.02, -0.03, 
##     -0.03, -0.03, -0.05, -0.1, -0.1, -0.06, -0.06, -0.05, -0.03, 
##     -0.02, -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, -0.02, -0.02, 
##     -0.03, -0.03, -0.02, -0.02, 0, -0.02, 0, -0.02, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, 
##     -0.02, -0.02, 0, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 
##     -0.02, -0.03, -0.03, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.05, -0.05, -0.03, -0.05, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, 0, 0, 0.02, 0.02, 0, -0.02, -0.05, -0.06, -0.1, 
##     -0.1, -0.06, -0.06, -0.05, -0.05, -0.02, 0, 0, 0, 0, 0.02, 
##     0, 0, -0.03, -0.05, -0.03, -0.02, -0.03, -0.03, -0.02, -0.02, 
##     -0.02, -0.03, -0.05, 0, 0, 0, 0, -0.02, -0.02, -0.1, -0.1, 
##     -0.1, 0, 0.02, 0, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0, 
##     -0.05, -0.03, -0.05, -0.05, -0.03, -0.03, -0.02, -0.02, 0, 
##     0, 0, -0.02, 0, 0, 0, 0, 0, -0.05, -0.05, -0.03, -0.03, -0.02, 
##     0, 0.02, 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.03, -0.03, -0.02, 
##     -0.02, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     0, 0, 0, 0.02, 0.02, 0, 0, -0.06, -0.02, -0.02, -0.02, -0.03, 
##     -0.03, -0.03, -0.03, -0.02, -0.03, 0.02, 0.02, 0, -0.02, 
##     -0.03, -0.05, -0.05, -0.05, -0.02, 0.02, 0.03, 0.02, 0.02, 
##     0.02, 0.02, -0.03, -0.03, -0.02, -0.02, 0.02, 0.03, 0, 0, 
##     0, 0.08, 0.03, 0.03, 0.06, 0.14, 0.14, 0.11, -0.02, 0.26, 
##     0.32, 0.31, 0.21, 0.16, 0.05, -0.13, -0.18, -0.19, -0.16, 
##     -0.11, -0.1, -0.03, 0.03, 0.1, 0.06, 0.03, -0.06, -0.08, 
##     -0.06, 0.05, 0.06, 0.03, 0.02, 0, 0.02, 0.05, 0.02, -0.06, 
##     0, 0.02, 0.06, 0.05, 0.03, 0, -0.03, -0.03, -0.03, -0.06, 
##     -0.08, -0.08, -0.03, -0.02, 0.02, 0.05, 0.02, -0.05, -0.05, 
##     -0.03, -0.03, -0.02, 0, -0.02, -0.02, 0.02, 0.05, 0.06, -0.02, 
##     -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, -0.02, -0.03, -0.03, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 
##     0, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, -0.03, 0, -0.02, 
##     -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 
##     0, 0, -0.02, -0.02, -0.02, -0.03, -0.05, -0.03, -0.03, -0.03, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, 
##     -0.02, -0.02, -0.02, 0, -0.02, 0, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
##     -0.03, -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, -0.02, -0.02, 
##     -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 
##     -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.05, -0.03, 
##     -0.03, -0.02, -0.03, -0.03, 0, 0, 0.02, 0.02, 0.02, 0, -0.02, 
##     -0.02, -0.02, -0.03, -0.02, 0, 0, -0.02, -0.03, -0.03, -0.03, 
##     -0.02, 0, 0.02, 0, 0, -0.02, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.02, 0, 0.02, 0, 0, -0.02, 0, -0.02, -0.02, -0.02, 
##     -0.03, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
##     -0.02, -0.03, -0.02, -0.02, -0.02, 0, 0, 0, -0.02, 0, 0, 
##     0, 0, 0, 0, -0.02, -0.02, 0, 0, 0, 0, -0.02, -0.02, -0.03, 
##     -0.03, -0.02, -0.02, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.03, -0.03, -0.02, 0, 0, 0, 0.02, 0, 0, -0.02, -0.03, 
##     -0.03, -0.03, -0.03, 0.02, 0.24, 0.29, 0.35, 0.37, 0.39, 
##     0.39, 0.39, 0.32, 0.32, 0.32, 0.31, 0.27, 0.22, 0.22, 0.22, 
##     0.21, 0.24, 0.19, 0.16, 0.14, 0.16, 0.21, 0.22, 0.22, 0.19, 
##     0.19, 0.21, 0.27, 0.31, 0.35, 0.39, 0.43, 0.43, 0.39, 0.22, 
##     0.16, 0, 0, -0.03, -0.05, -0.06, -0.08, -0.1, -0.19, -0.43, 
##     -0.43, -0.47, -0.51, -0.5, -0.47, -0.43, -0.63, -0.72, -0.72, 
##     -0.71, -0.72, -0.92, -0.98, -0.96, -1.03, -1.01, -1.04, -0.85, 
##     -0.85, -0.74, -0.74, -0.69, -0.5, -0.47, -0.45, -0.48, -0.56, 
##     -0.47, -0.42, -0.22, -0.14, -0.03, 0.02, 0.11, 0.14, 0.31, 
##     0.51, 0.53, 0.58, 0.61, 0.74, 0.82, 0.87, 0.9, 0.85, 0.87, 
##     0.83, 0.8, 0.64, 0.66, 0.64, 0.63, 0.67, 0.69, 0.66, 0.56, 
##     0.53, 0.51, 0.53, 0.64, 0.67, 0.64, 0.48, 0.39, 0.26, 0.11, 
##     0, -0.11, -0.32, -0.43, -0.45, -0.59, -0.64, -0.74, -0.82, 
##     -0.8, -0.75, -1, -1.06, -1.06, -1.08, -1.24, -1.33, -1.08, 
##     -1, 0.74, 0.71, 0.69, 0.82, 0.72, 0.1, -0.14, -0.37, -0.34, 
##     -0.29, -0.29, -0.63, -0.95, -1.17, -1.14, -1.27, -1.4, -1.46, 
##     -1.46, -1.48, -1.49, -1.51, -1.51, -1.48, -1.49, -1.43, -1.38, 
##     -1.16, -1.17, -1.17, -1.25, -1.19, -0.9, -0.74, -0.53, 0.08, 
##     0.22, 0.35, 0.43, 0.48, 0.56, 0.61, 0.67, 0.75, 0.83, 0.93, 
##     1.2, 1.4, 1.49, 1.59, 1.38, 1.35, 1.27, 1.24, 1.25, 1.24, 
##     1.19, 1.16, 1.14, 1.16, 1.2, 0.98, 0.61, 0.02, -0.26, -0.43, 
##     -0.55, -0.34, -0.26, -0.27, -0.37, -0.77, -0.96, -1.01, -1.04, 
##     -1.06, -1.08, -1.09, -1.12, -1.12, -1.14, -1.28, -1.32, -1.3, 
##     -1.43, -1.27, -1.19, -1.22, -1.17, -1.14, -1.11, -1.01, -0.95, 
##     -0.92, -0.72, -0.67, -0.64, -0.64, -0.67, -0.71, -0.93, -0.61, 
##     0.13, 0.39, 0.47, 0.66, 0.75, 1.01, 1.24, 1.33, 1.41, 1.45, 
##     1.45, 1.43, 1.36, 1.32, 1.27, 1.3, 1.11, 0.72, 0.74, 0.75, 
##     0.87, 0.93, 0.82, 0.56, 0.27, 0, -0.27, -0.53, -0.24, -0.22, 
##     -0.72, -0.93, -1.32, -1.35, -1.28, -1.33, -1.35, -1.43, -1.49, 
##     -1.46, -1.36, -1.2, -1.14, -1.17, -1.08, -1.09, -1.08, -0.95, 
##     -0.95, -0.87, -0.8, -0.75, -0.69, -0.64, -0.27, -0.24, -0.05, 
##     -0.05, -0.02, 0.11, 0.19, 0.31, 0.47, 0.72, 0.88, 1.08, 1.17, 
##     1.24, 1.2, 1.19, 1.16, 1.11, 1.04, 1, 0.96, 0.8, 0.77, 0.75, 
##     0.85, 0.92, 0.88, 0.34, 0.02, -0.27, -0.63, -0.47, -0.5, 
##     0.03, -0.05, -0.08, -0.11, -0.11, -0.11, -0.1, -0.06, -0.02, 
##     0, 0.02, 0.02, 0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.05, 
##     -0.05, -0.06, -0.05, -0.03, -0.05, 0.11, 0.13, 0, -0.02, 
##     -0.05, -0.08, -0.1, -0.1, -0.08, -0.08, -0.06, -0.05, -0.03, 
##     -0.02, -0.02, 0, 0.02, 0.02, 0.03, 0.02, 0.02, -0.03, -0.05, 
##     -0.05, -0.06, -0.03, -0.02, -0.02, 0, 0, 0, -0.02, -0.03, 
##     -0.02, -0.02, -0.03, -0.02, -0.02, -0.03, -0.03, -0.05, -0.05, 
##     0, 0, -0.05, -0.08, -0.06, -0.02, 0.02, 0.02, 0.02, 0, -0.05, 
##     -0.1, -0.05, -0.02, 0.02, 0.02, 0.02, -0.05, -0.06, -0.05, 
##     0.02, 0.02, 0.02, -0.03, -0.03, 0.05, 0.03, 0.05, -0.02, 
##     0, 0.03, 0.03, 0.02, 0, -0.02, -0.08, -0.08, 0, -0.08, -0.1, 
##     0.02, 0.05, 0.06, 0.08, 0.06, 0.05, -0.06, -0.06, -0.05, 
##     -0.02, 0, 0.03, -0.03, -0.06, -0.13, -0.02, 0, 0, -0.03, 
##     -0.03, 0, 0.05, 0.03, 0.02, -0.03, -0.05, -0.05, -0.03, -0.03, 
##     -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.03, -0.05, -0.05, -0.02, -0.02, 0, 0, 0, 
##     0, -0.02, -0.03, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0, -0.02, 0, 0.02, -0.05, -0.06, -0.06, -0.03, -0.02, 
##     0, -0.03, -0.05, -0.05, -0.05, -0.05, -0.03, -0.02, 0, -0.02, 
##     -0.03, 0, 0, 0, -0.02, -0.03, -0.03, -0.03, -0.02, -0.03, 
##     -0.03, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0, -0.02, -0.08, 0, 0, 0, -0.02, -0.05, -0.03, 
##     -0.02, 0.02, 0.02, 0, -0.02, -0.06, -0.06, -0.08, -0.06, 
##     -0.05, -0.03, -0.02, 0, 0.02, 0.05, 0.03, 0.03, 0.03, -0.03, 
##     -0.05, -0.05, -0.03, 0, -0.03, -0.03, -0.08, -0.08, -0.05, 
##     -0.03, -0.03, -0.03, -0.02, -0.03, -0.06, -0.08, -0.05, -0.03, 
##     0.03, 0.05, -0.03, -0.05, -0.05, -0.03, -0.02, 0, -0.02, 
##     -0.05, -0.05, -0.05, -0.06, -0.06, -0.05, -0.05, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.02, 0, 0, -0.02, -0.02, 0.02, 0.06, 
##     0, -0.06, -0.05, -0.02, 0, -0.08, 0, -0.05, -0.03, 0, 0.02, 
##     -0.02, -0.03, -0.03, 0.03, 0.05, 0.06, 0.05, 0.02, -0.03, 
##     -0.03, -0.03, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, -0.03, 
##     -0.05, -0.03, -0.03, 0.02, 0.02, 0.02, 0, 0.02, 0, 0, 0.02, 
##     0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0.03, 0.03, 0.05, -0.02, 
##     -0.03, 0.02, 0.02, 0.03, 0.03, 0.02, -0.02, -0.03, -0.03, 
##     -0.03, -0.05, -0.06, -0.05, -0.06, 0, 0, -0.03, -0.05, -0.05, 
##     -0.06, -0.06, -0.08, -0.08, -0.08, -0.05, -0.03, -0.02, -0.03, 
##     -0.02, 0, 0, 0, 0, 0, 0, 0, -0.03, -0.03, -0.05, -0.03, -0.02, 
##     0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.03, -0.03, -0.02, 0.02, 
##     0, -0.02, -0.02, -0.03, -0.03, -0.03, -0.05, -0.02, -0.06, 
##     -0.05, -0.02, 0.02, 0.1, 0.14, 0.83, 1.11, 1.19, 1.48, 1.75, 
##     1.49, 1.41, 1.3, 1.17, 1.06, 0.98, 0.95, 0.82, 0.66, 0.61, 
##     0.48, 0.47, 0.55, 0.63, 0.63, 0.58, 0.48, 0.19, -0.1, -0.42, 
##     -0.51, -0.59, -0.66, -0.67, -0.75, -0.88, -1, -1, -1.09, 
##     -1.08, -0.87, -0.8, -1, -1.14, -1.14, -1.14, -1.04, -0.95, 
##     -0.71, -0.69, -0.03, 0.08, 0.19, 0.45, 0.58, 0.71, 1.17, 
##     1.3, 1.41, 1.62, 1.73, 1.81, 1.78, 1.77, 1.62, 1.61, 1.54, 
##     1.28, 1.17, 1.04, 1, 0.82, 0.77, 0.74, 0.71, 0.64, 0.55, 
##     0.42, 0.03, -0.08, -0.34, -0.5, -0.72, -0.8, -0.87, -0.96, 
##     -1, -1.08, -1.12, -1.11, -1.27, -1.38, -1.06, -1.11, -1.25, 
##     -1.04, -1.2, -1.24, -1.17, -1.06, -1.16, -1.35, -1.49, -1.35, 
##     -1.24, -0.9, -0.69, -0.39, -0.06, 0.1, 0.64, 0.8, 1.62, 1.75, 
##     1.81, 1.77, 1.72, 1.53, 1.48, 1.43, 1.38, 1.24, 0.98, 0.75, 
##     0.74, 0.72, 0.59, 0.4, -0.06, -0.27, -0.35, -0.43, -0.5, 
##     -0.56, -0.77, -0.87, -0.9, -1.03, -1.09, -1.11, -1.16, -1.28, 
##     -1.32, -1.48, -1.53, -1.59, -1.75, -1.72, -1.48, -0.88, -0.64, 
##     0.26, 0.37, 0.47, 0.55, 0.63, 0.74, 0.9, 1.33, 1.48, 1.77, 
##     1.88, 1.96, 1.98, 1.89, 1.73, 1.51, 1.45, 1.27, 1.2, 1.09, 
##     1.03, 0.79, 0.72, 0.56, 0.5, 0.4, 0.1, -0.16, -0.26, -0.34, 
##     -0.42, -0.67, -0.74, -0.83, -0.87, -0.88, -0.93, -1, -1.11, 
##     -1.01, -0.92, -1.08, -1.4, -1.41, -1.53, -1.43, -1.48, -1.43, 
##     -1.35, -1.27, -1.01, -0.85, -0.69, -0.5, -0.22, 0, 0.18, 
##     0.58, 0.88, 1, 1.24, 1.35, 1.46, 1.57, 1.64, 1.7, 1.77, 1.81, 
##     1.85, 1.89, 1.89, 1.8, 1.75, 1.61, 1.36, 1.2, 1.2, 1.19, 
##     1.11, -0.14, -0.22, -0.42, -0.48, -0.75, -0.83, -1.32, -1.45, 
##     -1.3, -1.24, -1.24, -1.41, -1.4, -1.49, -1.48, -1.38, -0.93, 
##     -0.67, -0.47, -0.31, 0.08, 0.55, 0.59, 0.69, 1.27, 1.28, 
##     1.32, 1.41, 1.61, 1.69, 1.69, 1.67, 1.65, 1.57, 1.48, 1.28, 
##     1.25, 1.24, 1.19, 1.03, 0.96, 0.92, 0.55, 0.08, -0.06, -0.19, 
##     -0.31, -0.5, -0.83, -0.87, -1.08, -1.08, -1.09, -1.25, -1.24, 
##     -1.24, -1.32, -1.4, -1.28, -1.32, -1.49, -1.69, -1.7, -1.8, 
##     -1.86, -1.73, -1.2, -0.95, -0.51, -0.02, 0.16, 0.32, 0.66, 
##     0.83, 0.88, 1.08, 1.27, 1.36, 1.72, 1.73, 1.73, 1.72, 1.61, 
##     1.57, 1.54, 1.49, 1.19, 1.2, 0.92, 0.72, 0.61, 0.13, -0.02, 
##     -0.37, -0.53, -0.58, -0.63, -0.69, -0.75, -0.82, -0.9, -1.08, 
##     -1.22, -1.38, -1.3, -1.41, -1.38, -1.25, -1.28, -1.27, -1.35, 
##     -1.22, -1.32, -1.25, -0.64, -0.18, 0.11, 0.22, 0.24, 0.24, 
##     0.29, 0.79, 0.88, 1.27, 1.57, 1.62, 1.57, 1.62, 1.35, 1.2, 
##     0.83, 0.79, 0.79, 0.66, 0.53, -0.03, -0.13, -0.19, -0.93, 
##     -0.95, -0.9, 0.05, 0.02, 0, -0.02, -0.02, 0.02, 0.05, 0.06, 
##     0.06, 0.06, 0.05, 0.03, 0, -0.02, -0.02, 0, 0.02, 0.03, 0.05, 
##     0.06, 0.06, 0.06, 0.06, 0.08, 0.11, 0.14, 0.18, 0.24, 0.22, 
##     0.13, -0.21, -0.53, -0.66, -0.61, -0.27, -0.18, -0.1, -0.03, 
##     0.13, 0.45, 0.61, 0.58, 0.58, 0.53, 0.4, 0.29, 0.19, 0.08, 
##     -0.02, -0.11, -0.26, 0.16, 0.21, 0.26, 0.39, 0.37, 0.32, 
##     0.14, 0.13, 0.11, 0.05, -0.06, -0.21, -0.24, -0.11, -0.21, 
##     -1.14, -1.12, -1.08, -1.03, -1, -0.79, -0.85, -0.82, -0.79, 
##     -0.75, -0.63, -0.63, -0.61, -0.61, -0.51, -0.47, -0.4, -0.37, 
##     -0.27, -0.21, -0.03, 0.03, 0.11, -0.18, -0.26, -0.26, -0.29, 
##     -0.29, -0.34, -0.39, -0.4, -0.42, -0.42, -0.42, -0.42, -0.45, 
##     -0.59, -0.67, -0.75, -0.98, -1.12, -1.25, -1.41, 0.43, 0.51, 
##     0.48, 0.31, 0.14, 0.06, -0.03, -0.05, -0.18, -0.26, -0.31, 
##     -0.4, -0.42, -0.42, -0.39, -0.47, -0.5, -0.53, -0.53, -0.53, 
##     -0.58, -0.42, -0.39, -0.34, -0.27, -0.26, -0.24, -0.26, -0.29, 
##     -0.32, -0.37, -0.4, -0.42, -0.37, -0.34, -0.19, -0.16, 0.05, 
##     0.11, 0.03, -0.06, -0.27, -0.55, -0.56, -0.64, -0.63, -0.71, 
##     -0.72, -0.74, -0.47, -0.47, -0.45, -0.32, -0.32, -0.48, -0.83, 
##     -0.75, -0.55, -0.39, -0.32, -0.19, -0.75, -0.71, -0.48, -0.47, 
##     -0.47, -0.45, -0.45, -0.45, -0.45, -0.47, -0.47, -0.47, -0.47, 
##     -0.5, -0.5, -0.5, -0.5, -0.5, -0.51, -0.5, -0.55, -0.58, 
##     -0.59, -0.58, -0.59, -0.58, -0.56, -0.02, -0.1, -0.27, -0.31, 
##     -0.35, -0.39, -0.43, -0.51, -0.63, -0.69, -0.83, -0.87, -0.5, 
##     -0.51, -0.51, -0.51, -0.53, -0.53, -0.55, -0.55, -0.55, -0.55, 
##     -0.53, -0.55, -0.53, -0.56, -0.55, -0.56, -0.55, -0.53, -0.5, 
##     -0.45, -0.45, -0.47, -0.45, -0.43, -0.42, -0.4, -0.67, -0.66, 
##     -0.64, -0.64, -0.48, -0.53, -0.51, -0.5, -0.5, -0.51, -0.48, 
##     -0.47, -0.47, -0.45, -0.48, -0.5, -0.5, -0.5, -0.5, -0.5, 
##     -0.48, -0.5, -0.48, -0.48, -0.5, -0.48, -0.48, -0.5, -0.5, 
##     -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 
##     -0.5, -0.5, -0.51, -0.51, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 
##     -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, 
##     -0.5, -0.5, -0.51, -0.51, -0.5, -0.5, -0.5, -0.5, -0.48, 
##     -0.48, -0.5, -0.5, -0.51, -0.5, -0.51, -0.51, -0.5, -0.48, 
##     -0.48, -0.48, -0.47, -0.47, -0.47, -0.47, -0.48, -0.48, -0.48, 
##     -0.48, -0.5, -0.5, -0.5, -0.48, -0.48, -0.48, -0.48, -0.48, 
##     -0.48, -0.48, -0.4, -0.47, -0.5, -0.53, -0.51, -0.51, -0.51, 
##     -0.53, -0.53, -0.51, -0.5, -0.51, -0.51, -0.51, -0.5, -0.5, 
##     -0.5, -0.5, -0.5, -0.48, -0.48, -0.48, -0.48, -0.5, -0.5, 
##     -0.51, -0.5, -0.51, -0.53, -0.56, -0.56, -0.55, -0.56, -0.56, 
##     -0.56, -0.58, -0.58, -0.58, -0.59, -0.58, -0.58, -0.56, -0.55, 
##     -0.53, -0.53, -0.48, -0.45, -0.45, -0.43, -0.43, -0.43, -0.51, 
##     -0.53, -0.51, -0.51, -0.5, -0.5, -0.5, -0.5, -0.5, -0.48, 
##     -0.48, -0.47, -0.47, -0.47, -0.48, -0.48, -0.5, -0.5, -0.5, 
##     -0.5, -0.5, -0.51, -0.51, -0.48, -0.5, -0.5, -0.53, -0.59, 
##     -0.61, -0.58, -0.58, -0.55, -0.53, -0.55, -0.56, -0.55, -0.51, 
##     -0.5, -0.48, -0.47, -0.45, -0.43, -0.45, -0.43, -0.45, -0.47, 
##     -0.47, -0.47, -0.47, -0.45, -0.42, -0.47, -0.48, -0.51, -0.55, 
##     -0.58, -0.58, -0.58, -0.56, -0.56, -0.53, -0.5, -0.48, -0.5, 
##     -0.51, -0.53, -0.53, -0.53, -0.55, -0.53, -0.53, -0.51, -0.5, 
##     -0.51, -0.51, -0.51, -0.51, -0.5, -0.5, -0.5, -0.5, -0.5, 
##     -0.48, -0.48, -0.48, -0.5, -0.48, -0.51, -0.51, -0.51, -0.51, 
##     -0.53, -0.59, -0.64, -0.08, -0.05, -0.03, -0.05, -0.11, -0.35, 
##     -0.43, -0.55, -0.58, -0.61, -0.87, -0.85, -0.79, -0.72, -0.59, 
##     -0.63, -0.72, -0.77, -0.74, -0.61, -0.56, -0.55, -0.58, -0.59, 
##     -0.51, -0.51, -0.5, -0.5, -0.51, -0.51, -0.55, -0.56, -0.56, 
##     -0.56, -0.56, -0.55, -0.53, -0.51, -0.51, -0.47, -0.42, -0.26, 
##     -0.24, -0.22, -0.24, -0.27, -0.29, -0.34, -0.35, -0.4, -0.43, 
##     -0.45, -0.45, -0.47, -0.5, -0.53, -0.63, -0.67, -0.71, -0.75, 
##     -0.79, -0.79, -0.79, -0.79, -0.79, -0.79, -0.75, -0.71, -0.67, 
##     -0.66, -0.63, -0.55, -0.53, -0.48, -0.47, -0.51, -0.51, -0.48, 
##     -0.47, -0.51, -0.51, -0.51, -0.51, -0.51, -0.48, -0.48, -0.51, 
##     -0.51, -0.53, -0.51, -0.51, -0.48, -0.47, -0.5, -0.55, -0.61, 
##     -0.39, -0.31, -0.29, -0.35, -0.37, -0.42, -0.48, -0.53, -0.47, 
##     -0.56, -0.58, -0.13, -0.05, -0.16, -0.27, -0.34, -0.35, -0.4, 
##     -0.58, -0.63, -0.64, -0.64, -0.64, -0.67, -0.64, -0.53, -0.48, 
##     -0.47, -0.45, -0.43, -0.43, -0.45, -0.5, -0.53, -0.53, -0.56, 
##     -0.55, -0.53, -0.53, -0.51, -0.5, -0.51, -0.5, -0.51, -0.51, 
##     -0.53, -0.55, -0.56, -0.27, -0.21, -0.16, -0.16, -0.24, -0.32, 
##     -0.42, -0.51, -0.66, -0.64, -0.61, -0.61, -0.63, -0.69, -0.74, 
##     -0.8, -1, -1.08, -1.16, -1.22, -1.25, -1.17, -1.22, -1.16, 
##     -1.12, -1.17, -1.27, -1.33, -1.28, -1.2, -1.12, -0.85, -0.79, 
##     -0.63, -0.56, -0.4, -0.37, -0.34, -0.31, -0.29, -0.29, -0.35, 
##     -0.32, -0.14, 0.31, -1.19, -1.28, -1.38, -1.38, -1.32, -1.33, 
##     -1.35, -1.27, -1.24, -1.27, -1.28, -1.24, -1.2, -1.24, -1.25, 
##     -1.28, -1.28, -1.27, -1.03, -0.88, -0.87, -0.53, -0.42, -0.22, 
##     -0.13, -0.08, -0.05, -0.02, 0.06, 0.1, 0.16, 0.22, 0.5, 0.51, 
##     0.48, 0.39, 0.34, 0.32, 0.31, 0.34, 0.32, 0.32, 0.11, -0.03, 
##     0.03, 0.05, -0.11, -0.22, -0.27, -0.39, -0.47, -0.55, -0.59, 
##     -0.58, -0.72, -0.82, -0.88, -0.93, -1, -1.06, -1.35, -1.3, 
##     -1.25, -1.28, -1.32, -1.38, -1.53, -1.56, -1.56, -1.33, -1.09, 
##     -1.03, -0.85, -0.8, -0.74, -0.61, -0.72, -0.67, -0.64, -0.11, 
##     0, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.03, -0.03, 0, -0.02, 
##     0.02, -0.02, 0, -0.06, -0.1, -0.14, 0.11, 0.05, 0, -0.08, 
##     -0.13, -0.22, -0.59, -0.9, -1, -1, -1, -1, -1.01, -1.09, 
##     -1.14, -1.14, -1.14, -1.11, -1.09, -1.11, -1.09, -1.12, -1.16, 
##     -1.19, -1.2, -1.22, -1.27, -1.2, -1.17, -1.06, -0.87, -0.83, 
##     -0.92, -0.88, -0.87, -0.87, -0.8, -0.61, -0.56, -0.31, -0.27, 
##     -0.22, -0.16, -0.16, -0.1, -0.06, -0.11, -0.14, 0.18, 0.66, 
##     0.61, 0.48, 0.43, 0.42, 0.39, 0, 0, 0, 0.02, 0.11, 0.21, 
##     0.26, 0.24, 0.1, 0, -0.24, -0.56, -0.59, -0.64, -0.69, -0.72, 
##     -0.75, -0.8, -0.83, -0.92, -0.95, -0.98, -1.08, -1.11, -1.14, 
##     -1.17, -1.19, -1.22, -1.2, -1.24, -1.32, -1.25, -1.3, -1.24, 
##     -1.2, -1.2, -1.04, -0.96, -0.92, -0.82, -0.82, -0.82, -0.87, 
##     -0.9, -1.04, -1.14, -1.09, -0.96, -0.82, -0.75, -0.69, -0.71, 
##     -0.66, -0.63, -0.58, -0.5, -0.35, -0.29, -0.19, -0.14, -0.06, 
##     -0.05, -0.03, -0.02, 0, 0, 0.06, 0.08, 0.1, 0.14, 0.35, 0.42, 
##     0.47, 0.42, 0.39, 0.32, 0.27, 0.24, 0.14, 0.05, 0.02, -0.02, 
##     -0.06, -0.22, -0.26, -1.16, -1.11, -1.08, -1.11, -1.04, -1.03, 
##     -0.98, -1, -1.06, -1.11, -1.12, -1.09, -1.06, -1.06, -1.06, 
##     -1.01, -1, -0.95, -0.96, -0.98, -1, -0.95, -0.87, -0.69, 
##     -0.48, -0.16, -0.29, -0.31, -0.24, -0.16, -0.13, -0.13, -0.14, 
##     -0.11, -0.11, -0.06, -0.03, 0.05, 0.18, 0.24, 0.35, 0.37, 
##     0.35, 0.31, 0.31, 0.27, 0.24, 0.27, 0.45, 0.43, 0.27, -1.16, 
##     -1.12, -1.11, -1.09, -1.11, -1.14, -1.09, -1.04, -0.9, -0.95, 
##     -0.98, -1.01, -1, -0.93, -0.79, -0.87, -0.87, -0.88, -0.87, 
##     -0.8, -0.82, -0.87, -0.87, -0.83, -0.82, -0.72, -0.66, -0.59, 
##     -0.58, -0.53, -0.37, -0.32, -0.11, -0.08, -0.05, 0.02, 0.05, 
##     0.08, 0.14, 0.42, 0.34, 0.24, 0.19, 0.18, 0.16, 0.16, 0.18, 
##     0.14, -0.08, -0.08, -0.19, -0.26, -0.27, -0.31, -0.34, -0.32, 
##     -0.32, -0.35, -0.4, -0.37, -0.39, -0.58, -0.53, -0.51, -0.55, 
##     -0.56, -0.61, -0.64, -0.66, -0.71, -0.77, -0.9, -0.96, -1.04, 
##     -1.06, -1.06, -1.03, -1.06, -1.17, -1.24, -1.25, -1.24, -1.19, 
##     -1.16, -1.17, -1.25, -1.32, -1.36, -1.4, -1.41, -1.22, -1.17, 
##     -1.24, -1.25, -1.25, -1.16, -1.12, -1.06, -1.03, -1.03, -0.96, 
##     -0.9, -0.88, -0.8, 0.05, 0.05, 0.02, -0.03, -0.11, -0.16, 
##     -0.22, -0.31, -0.45, -0.53, -0.79, -0.85, -0.92, -0.98, -1.01, 
##     -1.03, -1.03, -1.06, -1.14, -1.17, -1.17, 0.59, 0.42, 0.31, 
##     0.27, 0.24, 0.19, 0.18, 0.16, 0.18, 0.22, 0.27, 0.32, 0.34, 
##     0.31, 0.16, -0.02, -0.11, -0.19, -0.29, -0.37, -0.53, -0.67, 
##     -0.72, -0.77, -0.82, -0.87, -0.93, -0.96, -0.98, -0.98, -0.56, 
##     -0.55, -0.53, -0.53, -0.53, -0.53, -0.53, -0.55, -0.56, -0.56, 
##     -0.59, -0.56, -0.56, -0.56, -0.47, -0.47, -0.48, -0.48, -0.5, 
##     -0.51, -0.53, -0.53, -0.51, -0.69, -0.71, -0.63, -0.58, -0.56, 
##     -0.55, -0.56, -0.59, -0.71, -0.72, -0.67, -0.63, -0.56, -0.13, 
##     -0.02, -0.02, -0.05, -0.13, -0.03, -0.06, -0.06, -0.43, -0.42, 
##     -0.42, -0.42, -0.42, -0.42, -0.51, -0.51, -0.53, -0.53, -0.53, 
##     -0.53, -0.53, -0.51, -0.53, -0.51, -0.51, -0.64, -0.64, -0.63, 
##     -0.61, -0.59, -0.56, -0.5, -0.48, -0.45, -0.42, -0.47, -0.5, 
##     -0.51, -0.5, -0.45, -0.48, -0.45, -0.45, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.05, -0.03, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, 
##     -0.03, -0.03, -0.03, 0.02, 0.02, 0.02, 0.03, 0.02, -0.02, 
##     -0.05, -0.08, -0.08, -0.06, -0.06, -0.05, -0.02, 0, 0, 0.02, 
##     0.03, 0.03, 0.03, 0.05, 0.03, 0.02, 0, -0.05, -0.08, -0.08, 
##     -0.08, -0.02, -0.29, -0.39, -0.47, -0.56, -0.88, -0.96, -1.19, 
##     -1.2, -1.19, -1.17, -0.98, -0.61, -0.34, -0.26, 0.31, 0.4, 
##     0.5, 0.58, 0.63, 0.82, 0.82, 0.82, 0.85, 0.93, 0.85, 0.79, 
##     0.72, 0.59, 0.55, 0.48, 0.37, 0.27, 0.22, 0.21, 0.24, 0.27, 
##     0.32, 0.27, 0.16, -1.01, -1, -0.96, -0.92, -0.87, -0.82, 
##     -0.74, -0.67, -0.48, -0.18, 0.08, 0.27, 0.39, 0.29, -0.05, 
##     -0.13, -0.14, -0.16, -0.03, 0.02, 0.02, 0.13, -0.88, -0.87, 
##     -0.85, -0.87, -0.92, -0.83, -0.79, -0.66, -0.53, -0.5, -0.48, 
##     -0.45, -0.43, -0.45, -0.48, -0.51, -0.51, -0.5, -0.47, -0.4, 
##     -0.27, -0.18, -0.1, -0.02, 0.03, 0.06, 0.06, -0.26, -0.31, 
##     -0.56, -0.58, -0.59, -0.59, -0.59, -0.59, -0.59, -0.61, -0.64, 
##     -0.64, -0.64, -0.61, -0.59, -0.58, -0.56, -0.51, -0.47, -0.29, 
##     -0.29, -0.29, -0.16, -0.18, -0.22, 0, 0, 0, 0.02, 0.02, 0, 
##     0, -0.02, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
##     0, -0.02, 0, 0.02, 0.03, 0.03, 0.02, 0.02, 0, -0.02, -0.03, 
##     -0.51, -0.56, -0.77, -0.92, -0.83, -0.58, -0.14, -0.08, -0.05, 
##     -0.06, -0.08, -0.06, -0.19, -0.16, -0.06, 0.02, 0.1, 0.1, 
##     0.08, 0.1, 0.11, 0.11, 0.1, 0.06, 0.19, 0.18, 0.13, 0.06, 
##     0, 0.02, 0.13, 0.22, 0.29, 0.4, 0.4, 0.39, 0.27, 0.24, 0.21, 
##     0.19, 0.21, 0.22, 0.22, 0.24, 0.14, -0.06, -0.14, -0.34, 
##     -1, -1.19, -1.04, -0.88, -0.8, -0.59, -0.53, -0.56, -0.34, 
##     -0.26, -0.24, -0.22, -0.18, -0.13, -0.02, 0.05, 0.13, -0.08, 
##     -0.21, -0.4, -0.35, -0.26, -0.13, -0.02, -1.32, -1.43, -1.12, 
##     -0.9, -0.83, -0.9, -1.06, -1.09, -0.69, -0.61, -0.43, -0.45, 
##     -0.5, -0.51, -0.03, 0, 0.03, 0.08, 0.16, 0.64, 0.67, 0.71, 
##     0.75, 0.79, 0.88, 0.98, -1.17, -1.48, -1.32, -1.19, -1.24, 
##     -1.22, -1.14, -1.03, -0.75, -0.72, -0.72, -0.79, -0.83, -0.79, 
##     -0.55, -0.59, -1.51, -1.36, -1.33, -1.33, -1.32, -0.95, -0.95, 
##     -0.8, -0.79, -0.72, -0.69, -0.63, -0.48, -0.42, -0.37, -0.26, 
##     -0.24, -0.22, -0.22, -0.11, 0.74, 0.74, 0.75, 0.77, 0.71, 
##     0.71, 0.71, 0.75, 0.14, -0.53, -0.83, -1.08, -1.35, -1.43, 
##     -1.45, -1.27, -1.24, -1.19, -1.24, -0.98, -1, -0.93, -0.9, 
##     -0.75, -0.64, -0.61, -0.58, -0.59, -0.58, -0.51, -0.26, -0.16, 
##     -0.1, 0.03, 0.08, 0.11, 0.31, 0.39, 0.42, 0.43, 0.45, 0.48, 
##     0.55, 0.56, 0.63, 0.66, 0.69, 0.5, -0.02, 0, -0.85, -1.08, 
##     -0.77, -0.66, -0.53, -0.42, -0.14, 0.27, 0.34, 0.47, 0.64, 
##     0.74, 0.83, 0.92, 1, 1.08, 1.24, 1.33, 1.33, 1.3, 1.19, 1.12, 
##     1.03, 1.01, 0.98, 0.95, 0.98, 0.95, 0.93, 0.88, 0.85, -0.51, 
##     -0.61, -0.66, -0.67, -0.61, -0.53, -0.13, -0.1, -0.14, -0.26, 
##     -0.22, -0.22, -0.22, -0.27, -0.27, -0.27, -0.26, -0.27, -0.24, 
##     -0.24, -0.19, -0.19, -0.19, -0.19, -0.21, -0.22, -0.22, -0.24, 
##     -0.24, -0.24, -0.22, -0.24, -0.26, -0.22, -0.14, 0.22, 0.29, 
##     0.35, 0.43, 0.67, 0.77, 0.92, 0.95, 1, 1.04, 1.04, 1.09, 
##     1.12, 1.14, 1.09, 1.01, 1.03, 1.08, 1.22, 1.25, 1.2, 1.16, 
##     1.11, 1.14, 0.88, -0.08, -0.42, -0.92, -1.53, -1.64, -1.78, 
##     -1.91, -2.41, -2.68, -2.47, -2.52, -2.42, -2.39, -2.3, -2.25, 
##     -2.1, -2.04, -1.98, -1.81, -1.62, -1.48, -1.11, -1.06, 1.33, 
##     1.3, 1.25, 1.22, 1.22, 1.22, 1.14, 0.69, -0.47, -0.82, -1.08, 
##     -1.28, -1.46, -1.75, -1.89, -1.96, -2.02, -2.22, -2.2, -2.1, 
##     -2.04, -1.93, -1.91, -1.85, -1.78, -1.75, -1.77, -1.65, -1.35, 
##     -1.35, -1.35, -1.11, -1.14, -1.08, -1.01, -0.9, -0.61, -0.45, 
##     -0.31, -0.08, -0.05, -0.08, -0.08, -0.02, 0.24, 0.34, 0.42, 
##     0.64, 1.12, 1.19, 1.22, 1.32, 1.57, 1.56, 1.49, 1.41, 1.19, 
##     1.2, 1.22, 1.54, 1.59, 1.67, -0.06, -1.01, -1.59, -1.96, 
##     -2.06, -2.06, -2.07, -2.06, -1.99, -1.89, -1.81, -1.67, -1.67, 
##     -1.81, -1.88, -1.75, -1.53, -1.4, -1.27, -1.19, -1.12, -1.11, 
##     -1.17, -1.11, -0.56, -0.48, -0.13, 0.21, 0.31, 0.48, 0.74, 
##     1.17, 1.27, 1.28, 1.38, 1.38, 1.32, 1.25, 1.14, 1.19, 1.3, 
##     1.3, 1.32, 1.36, 1.41, 1.48, 1.38, 1.2, 0.9, 0.08, -0.39, 
##     -0.79, -1.12, -1.38, -1.59, -2.33, -2.5, -2.68, -2.97, -2.76, 
##     -2.68, -2.47, -2.46, -2.31, -1.91, -1.62, -1.46, -0.93, -0.66, 
##     -0.4, -0.21, 0.18, 0.18, 0.16, 0.34, 0.43, 0.82, 0.92, 0.96, 
##     1.01, 1.06, 1.24, 1.3, 1.32, 1.22, 1.16, 1.04, 1.08, 1.12, 
##     1.32, 1.35, 1.49, 1.53, 1.57, 1.57, 1.56, 1.48, 1.36, 1.24, 
##     -1.22, -1.61, -1.83, -2.09, -2.38, -2.62, -3.18, -3.44, 0.66, 
##     0.77, 1.25, 1.53, 1.69, 1.72, 1.64, 1.54, 1.46, 1.41, 1.46, 
##     1.61, 1.53, 1.41, 1.4, 1.27, 1.16, 0.13, -0.87, -1.2, -1.48, 
##     -1.65, -2.1, -2.6, -2.78, -2.75, -2.67, -2.57, -2.14, -1.98, 
##     -1.36, -1.16, -0.87, -0.67, -0.58, -0.55, -0.45, -0.39, -0.35, 
##     -0.45, -0.27, -0.22, -0.14, -0.02, 0.18, 0.24, 0.4, 0.48, 
##     0.77, 0.88, 1.51, 1.57, 1.61, 1.59, 1.49, 1.38, 1.38, 1.36, 
##     1.41, 1.51, 1.65, 1.77, 1.83, 1.91, 1.98, 1.93, 1.43, 1, 
##     -0.75, -1.17, -1.62, -1.78, -1.86, -2.17, -2.3, -1.89, -1.73, 
##     -1.64, -1.65, -1.33, -1, -1.08, -1.22, -1.36, -1.43, -1.4, 
##     -0.32, -0.27, -0.31, -0.26, -0.19, -0.14, -0.05, 0.03, 0.29, 
##     0.55, 0.8, 1.49, 1.51, 1.33, 1.75, 1.81, 1.88, -0.79, -0.66, 
##     -0.58, -0.18, -0.13, -0.06, -0.05, 0.05, 0.13, 0.32, 0.37, 
##     0.39, 0.43, 0.67, 0.74, 0.9, 1.03, 1.59, 1.67, 1.7, 1.62, 
##     1.59, 1.61, 1.62, 1.65, 1.86, 2.14, 2.36, 2.46, 2.42, 2.36, 
##     1.72, 0.47, -0.92, -1.43, -2.04, -2.23, -2.6, -2.71, -2.92, 
##     -2.97, -3.07, -2.86, -2.65, -2.18, -1.96, -1.86, -1.81, -1.86, 
##     -1.73, -1.53, -1.12, -1.04, -0.4, -0.35, -0.11, -0.02, 0.14, 
##     0.21, 0.37, 0.63, 0.92, 1.04, 1.14, 1.2, 1.46, 1.59, 1.72, 
##     1.83, 1.93, 1.89, 1.83, 1.7, 1.69, 1.77, 1.83, 1.85, 1.85, 
##     1.89, 1.8, 1.72, 1.46, 1.32, 1.12, 0.83, -0.74, -0.58, -1.28, 
##     -1.57, -1.62, -1.49, -1.36, -1.27, -1.2, -1.16, -1.19, -1.24, 
##     -1.2, -1.16, -1.08, -1.03, -0.98, -0.95, -1.16, -1.17, -1.14, 
##     -1.03, -0.96, -0.88, -0.63, -0.48, -0.43, -0.42, -0.42, -0.4, 
##     -0.37, -0.35, -0.27, -0.24, -0.14, -0.13, -0.1, -0.06, -0.05, 
##     -0.03, -0.02, 0.03, 0.08, 0, -0.11, -0.18, -0.16, -0.13, 
##     -0.08, -0.06, -0.13, -0.16, -0.18, -0.18, -0.16, -0.08, -0.03, 
##     0.02, 0.03, 0.06, 0.06, 0.05, 0.05, 0.02, 0.02, 0.02, 0, 
##     -0.03, -0.03, -0.03, 0.02, 0.02, 0.02, -0.02, -0.03, -0.02, 
##     0, 0.02, 0.02, 0.02, 0.02, 0, 0.03, 0.02, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.03, 
##     0.03, 0, 0, -0.02, 0, 0.03, 0.03, 0.03, 0.02, -0.02, -0.02, 
##     -0.03, -0.08, -0.06, 0, 0.03, 0.05, 0.11, 0.14, 0.21, 0.27, 
##     0.53, 0.58, 0.59, 0.64, 0.66, 0.66, 0.72, -1.27, -1.38, -1.33, 
##     -1.33, -1.35, -1.38, -1.45, -1.43, -1.36, -1.32, -1.28, -1.22, 
##     -1.17, -1.14, -1.12, -1.08, -1.06, -1.04, -0.92, -0.88, -0.77, 
##     -0.58, -0.47, -0.26, -0.19, -0.14, -0.13, -0.11, -0.1, -0.05, 
##     0, 0.02, 0.03, 0.05, 0.1, 0.24, 0.43, 0.51, 0.85, 0.95, 0.96, 
##     1.16, 1.28, 1.4, 1.41, 1.4, 1.4, 1.4, 1.35, 1.3, 1.24, 1.04, 
##     0.98, 0.92, 0.87, 0.8, 0.75, 0.67, 0.69, 0.69, 0.75, 0.88, 
##     0.85, 0.71, -0.35, -0.59, -1.04, -1.36, -1.38, -1.41, -1.43, 
##     -1.43, -1.32, -1.27, -1.17, -1.14, -1.12, -1.25, -1.28, -1.41, 
##     -1.43, -1.43, -1.08, -0.9, -0.83, -0.8, 0.74, 0.83, 0.93, 
##     1.38, 1.4, 1.38, 1.35, 1.28, 1.28, 1.24, 1.2, 1.01, 0.8, 
##     0.74, 0.71, 0.71, 0.72, 0.75, 0.72, 0.67, 0.71, 0.75, 0.87, 
##     -0.5, -0.67, -0.82, -1.03, -1.12, -1.25, -1.33, -1.45, -1.57, 
##     -1.57, -1.53, -1.49, -1.49, -1.49, -1.48, -1.48, -1.51, -1.49, 
##     -1.49, -1.36, -1.2, -1.01, -0.85, -0.72, -0.66, -0.66, -0.69, 
##     -0.74, -0.58, -0.43, -0.35, -0.1, -0.1, -0.11, -0.13, -0.13, 
##     -0.19, -0.19, -0.18, -0.13, -0.05, 0.08, 0.11, 0.35, 0.51, 
##     0.9, 1, 1.28, 1.45, 1.56, 1.54, 1.51, 1.04, 0.98, 0.93, 0.9, 
##     0.87, 0.82, 0.72, 0.64, 0.75, 0.82, 1.01, 1, 0.5, 0.21, -0.47, 
##     -0.8, -0.9, -1, -1.03, -1.06, -1.22, -1.3, -1.32, -1.35, 
##     -1.41, -1.35, -1.36, -1.45, -1.48, -1.46, -1.46, -1.48, -1.48, 
##     -1.2, -1.03, -0.92, -0.88, -0.72, -0.71, -0.56, -0.11, -0.11, 
##     -0.22, -0.19, -0.06, 0.19, 0.51, 0.61, 0.71, 0.8, 1, 1.54, 
##     1.61, 1.62, 1.49, 1.43, 1.36, 1.33, 1.28, 1.22, 1.22, 1.22, 
##     1.25, 1.27, 1.24, 1.16, 1.01, 0.93, 1, 1, 1, 1, 0.85, 0.64, 
##     0.13, -0.82, -0.93, -1.01, -1.14, -1.2, -1.25, -1.28, -1.35, 
##     -1.41, -1.54, -1.69, -1.72, -1.8, -1.89, 1.53, 1.49, 1.45, 
##     1.4, 1.36, 1.28, 1.22, 1.17, 1.12, 1.12, 1.09, 1.08, 1.06, 
##     1.04, 1.03, 0.95, 0.87, 0.87, 0.95, 1, 1.01, 0.93, 0.79, 
##     0.59, 0.35, 0.05, -0.27, -0.55, -0.74, -1.14, -1.16, -1.17, 
##     -1.2, -1.24, -1.28, -1.33, -1.38, -1.38, -1.36, -1.43, -1.48, 
##     -1.54, -1.61, -1.61, -1.36, -1.35, -1.35, -1.35, -1.33, -0.75, 
##     -0.51, -0.22, -0.14, -0.03, 0.02, 0.05, 0.18, 0.21, 0.24, 
##     0.4, 0.53, 0.67, 0.83, 1.17, 1.45, 1.57, 1.62, 1.54, 1.45, 
##     1.38, 1.28, 1.28, 1.27, 1.19, 1.08, 1.03, -0.67, -0.95, -1.24, 
##     -1.32, -1.27, -1.32, -1.45, -1.49, -1.46, -1.35, -1.33, -1.35, 
##     -1.22, -1.04, -0.96, -0.69, -0.64, -0.67, -0.67, -0.61, -0.56, 
##     -0.43, -0.19, -0.14, -0.1, -0.02, 0.08, 0.24, 0.29, 0.34, 
##     0.4, 0.66, 1.14, 1.24, 1.33, 1.32, 1.24, 1.24, 1.24, 1.17, 
##     1.12, 1.17, 1.03, 0.85, 0.85, 0.83, 0.88, 0.93, 0.77, 0.22, 
##     -0.45, -0.53, -1.12, -1.19, -1.25, -1.25, -1.35, -1.46, -1.46, 
##     -1.4, -1.35, -1.32, -1.24, -1.2, -1.14, -1.08, -1.08, -1.03, 
##     -0.83, -0.74, -0.74, -0.74, -0.82, -0.66, -0.58, -0.53, -0.35, 
##     -0.24, -0.16, 0.03, 0.26, 0.39, 0.42, 0.58, 0.95, 1.09, 1.38, 
##     1.69, 1.41, 1.11, 1.06, 1.06, 1.03, 1.06, 0.9, 0.88, 0.85, 
##     0.66, 0.48, 0.22, -0.05, -0.22, -0.34, -0.26, -0.16, -0.37, 
##     -0.87, -1.06, -1.09, -1.16, -1.12, -1.16, -1.24, -1.17, 1.04, 
##     1.03, 0.96, 0.92, 0.8, 0.74, 0.66, 0.4, 0.51, 0.63, 0.64, 
##     0.72, 0.9, 0.92, 0.59, 0.34, 0.08, -0.24, -0.16, -0.05, -0.21, 
##     -0.35, -1.06, -1.03, -1.01, -1.03, -1.04, -1.14, -1.3, -0.96, 
##     -0.85, -0.82, -0.8, -0.87, -0.82, -0.82, -0.82, -0.63, -0.53, 
##     -0.47, -0.27, 0.06, 0.19, 0.21, 0.27, 0.32, 0.34, -0.21, 
##     -0.47, -0.59, -0.79, -0.92, -1.04, -1.2, -1.33, -1.4, -1.32, 
##     -1.25, -1.28, -1.3, -1.25, -1.35, -1.27, -1.06, -1.04, -1.03, 
##     -0.9, -0.82, -0.74, -0.66, -0.5, -0.67, -0.64, -0.59, -0.45, 
##     -0.39, -0.37, -0.39, -0.19, -0.08, 0.02, 0.16, 0.08, 0.03, 
##     -0.02, -0.03, -0.05, -0.1, -0.1, -0.06, -0.08, -0.06, -0.05, 
##     -0.03, -0.02, 0, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, 
##     -0.05, -0.05, -0.03, -0.03, -0.05, -0.03, -0.02, -0.02, 0, 
##     0, 0, -0.02, -0.03, -0.03, 0, 0, 0.02, -1.64, -1.62, -1.57, 
##     -1.49, -1.4, -1.33, -1.32, -1.33, -1.36, -1.48, -1.54, -1.57, 
##     -1.35, -1.25, -1.16, -0.85, -0.56, -0.51, -0.47, -0.39, -0.02, 
##     0.13, 0.22, 0.27, 0.34, 0.39, -1.89, -2.07, -2.07, -1.99, 
##     -1.89, -1.81, -1.8, -1.75, -1.73, -1.56, -1.49, -1.41, -1.11, 
##     -1, -0.88, -0.59, -0.47, -0.45, -0.39, -0.37, -0.27, -0.22, 
##     -0.14, 0.06, 0.22, 0.48, 0.77, 1.04, 1.16, 1.53, 1.61, 1.59, 
##     1.57, 1.56, 1.64, 1.67, 1.72, 1.72, 1.65, 1.61, 1.25, 1.04, 
##     0.79, 0.18, -0.03, -0.22, -0.5, -0.55, -0.61, -0.82, 0.11, 
##     0.35, 0.51, 0.69, 1.08, 1.2, 1.38, 1.49, 1.59, 1.59, 1.56, 
##     1.53, 1.45, 1.22, 1.17, 0.87, 0.87, 0.79, 0.64, -0.32, -0.42, 
##     -0.48, -0.88, -1.12, -1.4, -1.77, -1.93, -2.04, -1.91, -1.8, 
##     -1.72, -1.67, -1.57, -1.4, -1.43, -1.46, -1.45, -1.43, -1.38, 
##     -1.04, -0.58, -0.5, -0.47, -0.43, 0.08, 0.43, 0.69, 1.06, 
##     1.17, 1.38, 1.28, 1.22, 1.32, 1.36, 1.48, 1.49, 1.48, 1.45, 
##     -1.32, -1.28, -1.28, -1.22, -1.16, -1.12, -1.09, -1.03, -0.98, 
##     -0.96, -0.93, -0.79, -0.66, -0.47, -0.39, -0.27, -0.26, -0.26, 
##     -0.26, -0.22, -0.1, 0.02, 0.29, 0.34, 0.42, 0.5, 0.63, 0.95, 
##     -1, -1.11, -1.22, -1.72, -1.86, -2.01, -2.1, -2.17, -2.2, 
##     -2.22, -2.2, -1.77, -1.7, -1.65, -1.56, -1.08, -1.03, -0.96, 
##     -0.83, -0.79, -0.63, -0.59, -0.61, -0.51, -0.37, -0.22, -0.13, 
##     -0.03, 0.26, 0.31, 0.4, 0.47, 0.85, 1, 1.14, 1.4, 1.43, 1.43, 
##     1.4, 1.38, 1.36, 1.32, 1.27, 1.19, 1.16, 1.14, 1.06, 1.03, 
##     1.03, 1, 0.98, 0.98, 0.96, 0.95, 0.9, 0.75, 0.24, 0.1, -0.02, 
##     -0.16, -0.24, -1.19, -1.4, -1.86, -1.86, -1.86, -1.93, -2.02, 
##     -2.12, -2.01, -1.83, -1.67, -1.59, -1.51, -1.3, -1.01, -0.82, 
##     -0.71, -0.53, -0.39, -0.47, -0.56, -0.67, -0.85, -0.93, -1.08, 
##     -1.35, -1.33, -1.43, -1.36, -1.24, -1.25, -1.36, -1.35, -1.22, 
##     -0.95, -1.27, -1.35, -1.28, -1.24, -1.27, -1.36, -1.43, -1.36, 
##     -1.24, -0.83, -0.48, -0.29, -0.1, 0.03, 0.1, 0.16, 0.24, 
##     0.67, 0.82, 0.96, 1.14, 1.24, -1.49, -1.33, -1.54, -1.51, 
##     -0.75, -0.53, -0.31, 0.21, 0.56, 0.85, 0.98, 1.16, 1.75, 
##     1.83, 1.89, 1.94, 1.94, 1.88, 1.72, 1.59, 1.49, 1.3, 1.24, 
##     1.14, 0.77, 0.14, -0.11, -0.16, -0.18, -0.11, -0.06, -0.35, 
##     -0.48, -0.63, -0.88, -0.96, -1.28, -1.48, -1.51, -1.65, -1.57, 
##     -1.59, -1.69, -1.69, -1.35, -1.06, -1.06, -1.16, -0.95, -0.71, 
##     -0.58, -0.51, -0.37, 0.26, 0.34, 0.37, 0.4, 0.42, 0.4, 0.35, 
##     0.31, 0.11, 0, -0.02, -0.02, -0.05, -0.03, -0.03, -0.03, 
##     -0.03, 0, -0.02, -0.02, 0.02, 0, 0, 0, 0, -0.02, 0, -0.02, 
##     0, -0.03, -0.03, -0.03, -0.02, -0.02, -0.03, -0.05, -0.1, 
##     0.05, 0.21, 0.83, 1.01, 1.16, 1.93, 2.12, 2.18, 2.22, 2.17, 
##     2.14, 2.07, 2.07, 1.78, 1.7, 1.64, 1.61, 1.41, 1.12, 0.75, 
##     -0.03, -0.71, -1.2, -1.41, -1.56, -1.7, -2.02, -2.42, -2.59, 
##     -2.73, -2.83, -2.86, -2.83, -2.89, -2.89, -2.79, -2.78, -2.7, 
##     -2.09, -2.1, -1.98, -1.46, -0.4, -0.19, -0.11, 0.21, 0.53, 
##     1.35, 2.12, 2.23, 2.33, 2.3, 2.26, 2.31, 2.41, 2.34, 2.07, 
##     2.02, 1.85, 1.72, 1.4, 1.2, 0.96, -0.45, -0.74, -1, -1.56, 
##     -1.89, -2.07, -2.25, -2.39, -2.49, -2.55, -2.52, -2.55, -2.52, 
##     -2.6, -2.67, -2.52, -2.04, -1.24, -0.87, -0.67, -0.42, 0.34, 
##     0.87, 1, -2.68, -2.63, -2.54, -2.47, -2.38, -2.39, -2.22, 
##     -2.14, -1.77, -1.43, -0.77, -0.56, 0.11, 1.24, 1.75, 2.06, 
##     2.15, 2.15, 2.25, 2.17, 2.06, 1.69, 1.56, 1.46, 1.38, 1.54, 
##     1.51, 1.2, 0.59, -0.47, -1.19, -1.65, -1.81, -2.18, -2.36, 
##     -2.59, -2.63, -2.65, -2.39, -2.02, -2.07, -1.98, -1.89, -1.81, 
##     -1.77, -1.64, 0.18, 0.45, 0.72, 1.32, 1.56, 1.78, 2.02, 2.18, 
##     2.34, 2.38, 2.42, 2.46, 2.44, 2.22, 2.22, 2.09, 2.06, 2.04, 
##     1.86, 1.77, 1.4, 1.14, 0.35, -0.11, -1.27, -1.61, -2.14, 
##     -2.55, -2.78, -2.83, -2.28, -2.22, -2.22, -2.23, -2.26, -2.34, 
##     -2.22, -2.18, -2.25, -2.23, -2.04, -1.4, -1.3, -0.85, -0.74, 
##     -0.45, -0.32, -0.08, 0.32, 0.43, 1.04, 1.24, 1.46, 1.69, 
##     2.41, 2.44, 2.46, 2.46, 2.39, 2.1, 2.04, 1.98, 1.86, 1.73, 
##     1.65, 1.38, 0.83, 1.56, 2.14, 2.36, 2.49, 2.7, 2.73, 2.76, 
##     2.78, 2.75, 2.76, 2.73, 1.98, 1.73, 1.57, 1.04, 0.64, 0.4, 
##     -0.14, -0.42, -0.71, -1.03, -1.54, -2.22, -2.42, -2.62, -2.92, 
##     -3.02, -3.1, 2.28, 1.96, 1.81, -0.98, -1.04, -1.2, -1.25, 
##     -1.35, -1.49, -1.56, -1.61, -1.45, -1.38, -1.09, -1.06, -1.04, 
##     -1.01, -1, -1.01, -0.98, -0.8, -0.77, -0.51, -0.5, -0.47, 
##     -0.47, -0.45, -0.43, -0.43, -0.43, -0.45, -0.43, -0.48, -0.56, 
##     -0.61, -0.63, -0.63, -0.61, -0.61, -0.47, -0.4, -0.37, -0.34, 
##     -0.27, -0.31, -0.31, -0.34, -0.37, -0.5, -0.56, -0.64, -0.63, 
##     -0.61, -0.59, -0.59, -0.53, -0.53, -0.5, 0.11, 0.34, 0.47, 
##     0.55, 0.51, 0.37, 0.34, 0.34, 0.32, 0.31, 0.32, 0.37, 0.31, 
##     0.26, 0.24, 0.24, 0.24, 0.27, 0.11, 0, -0.03, -0.19, -0.31, 
##     -0.39, -0.45, -0.5, -0.55, -0.48, -0.5, -0.51, -0.64, -0.67, 
##     -0.85, -0.95, -1.16, -1.24, -1.48, -1.53, -1.67, -1.59, -1.38, 
##     -1.25, -1.16, -1.12, -1.12, -1.09, -1.08, -1.11, -1.32, -1.24, 
##     -1.24, -1.12, -1.06, -1.08, -0.85, -0.79, -0.71, -0.55, -0.48, 
##     -0.42, -0.4, -0.37, -0.16, -0.02, 0.06, 0.22, 0.29, 0.32, 
##     0.35, 0.4, 0.39, 0.32, 0.27, 0.26, 0.19, 0.11, 0.16, 0.13, 
##     0.13, 0.18, 0.19, 0.08, 0.05, 0.02, -0.03, -0.05, -0.08, 
##     -0.06, -0.06, -1.28, -1.33, -1.38, -1.43, -1.43, -1.4, -1.28, 
##     -1.14, -1.08, -0.96, -0.93, -0.9, -0.9, -0.96, -0.95, -0.93, 
##     -0.8, -0.77, -0.75, -0.77, -0.77, -0.75, -0.53, -0.47, -0.39, 
##     -0.27, -0.14, -0.08, -0.11, -0.19, -0.35, -0.69, -0.77, -1.04, 
##     -1.14, -1.32, -1.88, -2.09, -2.22, -2.04, -1.96, -1.91, -1.67, 
##     -1.54, -1.3, -1.28, -1.32, -1.36, -1.41, -1.51, -1.32, -1.22, 
##     -1.17, -0.87, -0.69, -1.04, -1.19, -1.3, -1.22, -1.08, -0.93, 
##     -0.8, -0.56, -0.43, -0.39, -0.35, -0.34, -0.34, -0.31, -0.26, 
##     -0.19, -0.16, -0.11, 0.69, 0.79, 0.83, 0.87, 0.35, 0.31, 
##     0.32, 0.43, 0.43, 0.35, 0.31, 0.24, 0.16, 0.16, 0.16, 0.21, 
##     0.19, 0.19, 0.18, 0.13, 0.11, 0.1, 0.11, 0.1, -0.21, -0.4, 
##     -0.51, -0.61, -0.67, -0.69, -0.71, -0.71, -0.8, -0.88, -0.98, 
##     -1.09, -1.33, -1.45, -1.56, -1.83, -1.89, -1.93, -1.89, -1.81, 
##     -1.73, -1.59, -1.48, -1.35, -0.58, -0.35, 0.08, 0.11, 0.16, 
##     0.43, 0.53, 0.71, 0.5, 0.39, 0.39, 0.37, 0.32, 0.31, 0.35, 
##     0.31, 0.22, 0.11, 0.05, 0.05, 0.13, 0.11, 0.05, 0.03, 0.06, 
##     0.06, 0.08, 0.03, -0.5, -0.63, -0.67, -0.82, -0.9, -1.04, 
##     -1.14, -1.48, -1.61, -0.88, -0.85, -0.82, -0.8, -0.79, -0.74, 
##     -0.71, -0.67, -0.64, -0.53, -0.47, -0.34, -0.24, -0.13, -0.05, 
##     0.05, 0.13, 0.55, 0.64, 0.85, 0.87, 0.85, 0.88, 0.83, 0.64, 
##     0.55, 0.51, 0.47, 0.39, 0.37, 0.37, 0.37, 0.35, 0.31, 0.26, 
##     0.21, 0.08, -0.05, -0.08, -0.11, -0.19, -0.22, -0.27, -0.45, 
##     -0.53, -0.64, -0.67, -0.71, -0.75, -0.95, -1.11, -1.2, -1.45, 
##     -1.56, -1.8, -1.91, -1.94, -1.94, -1.88, -1.48, -1.19, -1.08, 
##     -1.03, -1.01, -1.08, -1.14, -1.19, -1.12, -1.04, -1.09, -1.14, 
##     -1.16, -1.04, -1.03, -1.01, -1.01, -1.01, -0.82, -0.75, -0.67, 
##     -0.61, -0.53, -0.48, -0.42, -0.19, -0.1, -0.02, 0.16, 0.27, 
##     0.42, 0.48, 0.61, 0.67, 0.72, 0.5, 0.29, 0.22, 0.4, 0.16, 
##     0, -0.11, -0.14, -0.16, -0.16, -0.16, -0.16, -0.16, -0.18, 
##     -0.18, -0.19, -0.19, -0.21, -0.29, -0.31, -0.35, -0.39, -0.47, 
##     -0.53, -0.58, -0.61, -0.66, -0.69, -0.88, -0.96, -1.03, -1.11, 
##     -1.2, -1.38, -1.48, -1.59, -1.69, -1.67, -1.57, -1.57, -1.56, 
##     -1.51, -1.49, -1.53, -1.51, -1.51, -1.56, -1.54, -1.48, -1.43, 
##     -1.41, -1.33, -1.36, -1.38, -1.33, -1.32, -1.28, -1.24, -1.19, 
##     -1.12, -1.04, -0.96, -0.93, -0.8, -0.77, -0.75, -0.67, -0.56, 
##     -0.51, -0.47, -0.47, -0.47, -0.45, -0.45, -0.42, -0.4, -0.06, 
##     -0.02, 0.06, 0.26, 0.48, 0.69, 0.69, 0.55, 0.27, 0.14, 0.13, 
##     0, -0.02, -0.03, -0.03, -0.08, -0.05, 0, -0.02, -0.03, -0.13, 
##     -0.32, -0.42, -0.51, -0.59, -0.64, -0.71, -0.72, -0.74, -0.75, 
##     -0.82, -1.03, -1.41, -1.54, -1.65, -1.78, -1.88, -2.04, -2.02, 
##     -2.02, -1.7, -1.8, -1.94, -2.07, -2.22, -2.12, -2.02, -1.75, 
##     -1.54, -1.43, -1.46, -1.46, -1.53, -1.41, -1.38, -1.2, -1.2, 
##     -1.25, -1.24, -1.12, -1.09, -1.08, -1.08, -1.03, -0.98, -1.27, 
##     -1.24, -1.22, -1.27, -1.36, -1.33, -1.28, -1.25, -1.2, -1.09, 
##     -1.08, -0.96, -0.83, -0.82, -0.77, -0.74, -0.63, -0.59, 0.08, 
##     0.22, 0.43, 0.47, 0.47, 0.43, 0.43, 0.5, 0.51, 0.35, 0.21, 
##     0.19, 0.21, 0.27, 0.21, 0.16, 0.1, 0.03, -0.02, 0, 0.03, 
##     0.05, 0.06, 0.1, 0.16, 0.13, 0.13, 0.13, 0.13, 0.13, 0.1, 
##     0.06, -0.26, -0.45, -0.64, -0.69, -0.72, -0.77, -0.98, -1.24, 
##     -1.41, -1.59, -1.88, -1.96, -2.01, -1.98, -1.73, -1.38, -1.3, 
##     -0.74, -0.71, -0.71, -0.69, -0.67, -0.66, -0.56, -0.53, -0.55, 
##     -0.56, -0.58, -0.59, -0.58, -0.56, -0.56, -0.55, -0.55, -0.55, 
##     -0.56, -0.58, -0.58, -0.58, -0.55, -0.53, -1.03, -1.03, -1.08, 
##     -1.19, -1.19, -1.24, -1.27, -1.41, -1.4, -1.43, -1.45, -1.38, 
##     -1.32, -1.19, -1.06, -1, -0.82, -0.74, -0.59, -0.35, -0.31, 
##     -0.24, -0.18, 0.03, 0.18, 0.39, 0.4, 0.43, 0.47, 0.5, 0.55, 
##     0.55, 0.55, 0.48, 0.43, 0.35, 0.16, 0.11, 0.13, 0.16, 0.14, 
##     0.08, -0.13, -0.18, -0.22, -0.1, -0.18, -0.26, 0.08, -0.16, 
##     -0.19, 0.05, 0.06, 0, -0.13, -0.19, -0.27, -0.4, -0.56, -0.63, 
##     -0.75, -0.79, -0.83, -0.87, -1, -1.11, -1.14, -1.16, -1.17, 
##     -1.43, -0.34, -0.35, -0.35, -0.31, -0.22, 0.24, 0.29, 0.22, 
##     0.19, 0.18, 0.16, 0.21, 0.5, 0.5, 0.47, 0.4, 0.24, 0.18, 
##     -0.05, -0.03, 0.05, 0.06, 0.05, 0.03, 0, -0.05, -0.1, -0.13, 
##     -0.13, -0.1, -0.16, -0.27, -0.32, -0.31, -0.22, -0.18, -0.14, 
##     -0.13, -0.16, -0.22, -0.37, -0.53, -0.63, -0.79, -1.04, -1.32, 
##     -1.43, -1.43, -1.43, -1.41, -1.4, -1.38, -1.41, -1.36, -1.35, 
##     -1.25, -1.19, -1.08, -0.95, -0.92, -0.9, -0.9, -0.88, -0.83, 
##     -0.79, -0.66, -0.67, -0.69, -0.71, -0.72, -0.82, -0.93, -0.95, 
##     -0.95, -0.92, -0.85, -0.74, -0.72, -0.72, -0.71, -0.66, -0.56, 
##     -0.48, -0.31, -0.18, -0.11, 0.02, 0.08, 0.16, 0.13, -0.05, 
##     0.21, 0.29, 0.16, 0.13, 0.1, 0.06, -0.02, -0.1, -0.16, -0.19, 
##     -0.21, -0.21, -0.22, -0.24, -0.34, -0.24, -0.14, -0.02, -0.02, 
##     -0.19, -0.27, -0.45, -0.56, -0.56, -0.51, -0.66, -0.77, -0.87, 
##     -0.92, -0.96, -1, -1.09, -1.14, -1.22, -1.19, -1.14, -1.28, 
##     -1.33, -1.32, -1.3, -1.28, -1.25, -1.27, -1.33, -1.35, -1.33, 
##     -1.22, -1.19, -1.08, -1.11, -1.12, -1.06, -1.09, -1.08, -0.98, 
##     -0.8, -0.77, -0.77, -0.79, -0.74, -0.5, -0.42, -0.39, -0.32, 
##     -0.27, -0.11, -0.03, 0.06, 0.19, 0.32, 0.35, 0.37, 0.42, 
##     0.43, 0.47, 0.5, 0.48, 0.5, -0.16, -0.21, -0.45, -0.53, -0.53, 
##     -0.58, -0.66, -0.69, -0.72, -0.8, -0.83, -0.85, -0.85, -0.87, 
##     -0.9, -0.93, -0.96, -0.96, -0.95, -0.95, -0.98, -1.03, -1.04, 
##     -1.03, -1, -0.47, -0.43, -0.4, -0.37, -0.37, -0.55, -0.56, 
##     -0.55, -0.53, -0.53, -0.55, -0.53, -0.55, -0.4, 0.05, 0.39, 
##     0.45, 0.51, 0.53, 0.56, 0.48, 0.43, 0.42, 0.39, 0.39, 0.31, 
##     0.24, 0.21, 0.14, 0.03, -0.02, -0.03, -0.03, 0, 0.24, 0.24, 
##     0.24, 0.22, 0, -0.05, -0.16, -0.35, -0.45, -0.58, -0.69, 
##     -0.67, -0.61, -0.53, -0.51, -0.55, -0.61, -0.67, -0.83, -1, 
##     -1.11, -1.27, -1.28, -1.28, -1.36, -1.4, -1.53, -1.61, -1.59, 
##     -1.49, -1.35, -1.3, -1.4, -1.45, -1.45, -1.43, -1.24, -1.17, 
##     -1.12, -1.06, -1, -0.98, -0.93, -0.79, -0.83, -0.5, -0.47, 
##     -0.42, -0.31, -0.27, -0.24, -0.21, -0.18, -0.18, -0.19, -0.14, 
##     0.29, 0.37, 0.51, 0.56, 0.69, 0.72, 0.79, 0.82, 0.8, 0.47, 
##     0.37, 0.29, 0.05, 0.1, 0.11, 0.1, 0.1, 0.06, 0.06, 0.03, 
##     0.02, -0.08, -0.24, -0.34, -0.43, -0.55, -0.71, -0.77, -0.8, 
##     -0.8, -0.75, -0.75, -0.8, -0.88, -1.09, -1.24, -1.45, -1.49, 
##     -1.53, -1.56, -1.51, -1.49, -1.56, -1.73, -1.86, -1.85, -1.45, 
##     -1.27, -1.09, -1.03, -1.03, -1.17, -1.33, -1.2, -1.09, -1.03, 
##     -0.96, -0.95, -0.93, -0.93, -0.9, -0.85, -0.75, -0.66, -0.58, 
##     -0.51, -0.29, -0.24, -0.22, -0.16, -0.14, 0.08, 0.16, 0.08, 
##     0.03, 0.14, 0.19, 0.22, 0.26, 0.27, 0.27, 0.24, 0.21, 0.18, 
##     0.14, 0.03, 0.05, 0.14, 0.22, 0.32, 0.27, 0.14, 0.1, 0.05, 
##     0.03, 0.06, -0.05, -1.38, -1.33, -1.25, -1.14, -1.11, -1.17, 
##     -1.45, -1.48, -1.51, -1.36, -1.27, -1.2, -1.17, -1.16, -0.93, 
##     -0.85, -0.69, -0.22, -0.14, 0.03, 0.1, 0.11, 0.42, 0.61, 
##     0.66, 0.47, 0.5, 0.48, 0.47, 0.45, 0.45, 0.47, 0.53, 0.51, 
##     0.56, 0.55, 0.5, 0.45, 0.26, 0.05, 0.03, -0.02, -0.02, 0.05, 
##     0.03, 0, -0.21, -0.31, -0.61, -0.66, -0.71, -0.72, -0.74, 
##     -0.77, -0.83, -0.96, -1.01, -1.08, -1.14, -1.17, -1.27, -1.35, 
##     -1.4, -1.41, -1.38, -1.33, -1.27, -1.27, -1.41, -1.27, -0.35, 
##     -0.35, -0.31, -0.24, -0.21, -0.21, -0.06, -0.08, -0.13, -0.11, 
##     0.34, 0.48, 0.61, 0.74, 0.58, 0.58, 0.58, 0.47, 0.26, 0.02, 
##     -0.02, -0.05, -0.05, -0.08, -0.08, -0.06, -0.02, 0.02, 0.03, 
##     0.03, 0.02, 0, -0.05, -0.1, -0.19, -0.26, -0.63, -0.66, -0.69, 
##     -0.74, -1.01, -1.36, -1.48, -1.56, -1.62, -1.61, -1.56, -1.51, 
##     -1.45, -1.33, -1.32, -1.33, -1.33, -1.36, -1.48, -1.41, -1.36, 
##     -1.24, -1.14, -1.08, -1.03, -1.04, -1.08, -1.12, -0.96, -0.72, 
##     -0.63, -0.93, -0.96, -0.88, -0.77, -0.64, -0.61, -0.37, -0.37, 
##     -0.4, -0.37, -0.37, -0.29, 0.06, 0.4, 0.45, 0.32, 0.27, 0.27, 
##     0.32, 0.35, 0.58, 0.64, 0.64, 0.64, 0.63, 0.59, 0.56, 0.5, 
##     0.43, 0.37, 0.31, 0.29, 0.29, 0.27, 0.02, -0.03, 0, 0.18, 
##     0.21, -0.56, -0.61, -0.64, -0.69, -0.75, -0.85, -1, -1.09, 
##     -1.09, -1.16, -1.25, -1.33, -1.51, -1.65, -1.69, -1.72, -1.7, 
##     -1.67, -1.64, -1.7, -1.78, -1.45, -1.27, -1.11, -1.17, -1.08, 
##     -1.01, -0.96, -1, -1.04, -1.01, -0.98, -0.93, -0.37, -0.32, 
##     -0.27, -0.26, -0.18, -0.14, -0.08, -0.02, 0.24, 0.56, 0.64, 
##     0.77, 0.8, 0.88, 0.87, 0.83, 0.79, 0.56, 0.53, 0.51, 0.55, 
##     0.66, 0.67, 0.71, 0.67, -0.53, -0.48, -0.47, -0.45, -0.42, 
##     -0.37, -0.43, -0.45, -0.34, -0.14, -0.16, -0.27, -0.34, -0.42, 
##     -0.51, -0.55, -0.59, -0.67, -0.75, -0.8, -0.85, -0.93, -0.95, 
##     -0.96, -0.96, -0.98, -0.63, -0.64, -0.64, -0.61, -0.67, -0.74, 
##     -0.82, -0.82, -0.83, -0.88, -0.9, -0.9, -0.88, -0.82, -0.74, 
##     -0.66, -0.5, -0.39, -0.22, -0.19, 0.37, 0.45, 0.48, 0.47, 
##     0.43, 0.34, 0.31, 0.29, 0.22, 0.19, 0, -0.08, -0.1, -0.08, 
##     -0.11, -0.13, -0.21, -0.27, -0.31, -0.29, -0.27, -0.29, -0.32, 
##     -0.35, -0.48, -0.5, -0.5, -0.58, -0.59, -0.61, -0.63, -0.63, 
##     -0.64, -0.63, -0.63, -0.63, -0.63, -0.63, -0.63, -0.64, -0.64, 
##     -0.64, -0.64, -0.64, -0.63, -0.59, -0.58, -0.59, -0.61, -0.56, 
##     -0.58, -0.63, -0.67, -0.83, -1.09, -1.14, -1.17, -1.28, -1.3, 
##     -1.14, -1.04, -0.96, -0.82, -0.83, -0.87, -0.9, -0.87, -0.82, 
##     -0.75, -0.71, -0.66, -0.5, -0.45, -0.43, -0.39, -0.79, -0.69, 
##     -0.64, -0.8, -0.85, -0.95, -0.98, -1.06, -1.11, -1.17, -1.25, 
##     -1.36, -1.46, -1.48, -1.49, -1.53, -1.49, -1.49, -1.51, -1.48, 
##     -1.46, -1.46, -1.48, -1.36, -1.43, -1, -1.04, -1.04, -0.95, 
##     -0.95, -0.96, -1.01, -1.19, -1.2, -1.12, -1.01, -0.92, -0.9, 
##     -0.88, -0.85, -0.79, -0.72, -0.64, -0.61, 0.67, 0.72, 0.75, 
##     0.83, 0.85, 0.71, 0.55, 0.37, -0.03, -0.11, -0.21, -0.19, 
##     -0.13, -0.1, -0.08, -0.24, -0.32, -0.34, -0.32, -0.32, -0.32, 
##     -0.32, -0.05, -1.48, -1.48, -1.4, -1.35, -1.24, -1.28, -1.33, 
##     -1.25, -1.14, -1, -0.98, -1, -1.03, -1, -0.92, -0.67, -0.67, 
##     -0.63, -0.56, -0.42, -3.16, -3.1, -3.08, -3.02, -3, -1.72, 
##     -1.38, -0.92, -0.64, 0.18, 0.35, 0.64, 1.16, 1.64, 2.06, 
##     2.14, 2.18, 2.41, 2.52, 2.6, 0.05, -0.67, -1.24, -1.62, -1.8, 
##     -2.15, -2.49, -2.57, -2.5, -2.57, -2.63, -2.62, -2.62, -2.79, 
##     -2.81, -2.55, -2.55, -2.44, -2.34, -2.33, -2.33, -2.14, -2.02, 
##     -1.83, -0.37, -0.03, 0.22, 0.72, 0.9, 1.72, 2.15, 2.44, 2.54, 
##     2.62, 2.63, 2.65, 2.59, 2.49, 2.2, 2.09, 1.94, 1.59, 1.51, 
##     1.49, 1.48, 1.48, 1.24, 1.11, -0.4, -0.82, -1.01, -1.35, 
##     -1.93, -2.15, -2.31, -2.57, -2.62, 0.05, -0.02, -0.16, -0.16, 
##     -0.1, -0.08, -0.06, -0.02, 0.02, 0.02, 0.02, 0.02, 0, 0, 
##     0, -0.02, 0, 0.02, 0, 0.03, 0.02, 0, 1.59, 1.69, 1.77, 1.78, 
##     1.78, 1.75, 1.59, 1.53, 1.46, 1.45, 1.41, 1.38, 1.33, 1.22, 
##     1.06, 0.26, -0.29, -0.39, -0.43, -0.48, -0.61, -0.95, -1.11, 
##     -1.4, -1.56, -1.54, -1.56, -1.49, -1.64, -1.54, 0.92, 0.93, 
##     1, 1.11, 1.17, 1.17, 1.01, 0.58, 0.27, -0.1, -0.45, -1.04, 
##     -1.22, -1.27, -1.32, -1.38, -1.4, -1.43, -1.53, -1.62, -1.77, 
##     -1.86, -2.01, -2.07, -2.14, -2.1, -1.56, -1.41, -0.92, -0.77, 
##     -0.72, -0.87, -0.8, -0.61, -0.43, -0.29, -0.26, -0.18, -0.1, 
##     -0.02, 0.08, 0.08, 0.08, 0.06, 0.03, 0.05, 0.18, 0.55, 0.72, 
##     0.85, 1.28, 1.38, 1.48, 1.51, -0.71, -0.69, -0.53, -0.45, 
##     -0.39, -0.31, -0.16, -0.13, -0.16, -0.21, -0.26, -0.27, -0.16, 
##     -0.13, -0.06, -0.03, -0.02, 0, 0.06, 0.37, 0.48, 1.01, 1.08, 
##     1.14, 1.08, 1.01, 0.98, 0.83, 0.79, 0.72, 0.66, 0.61, 0.55, 
##     0.55, 0.61, 0.66, 0.8, 0.96, 0.77, 0.59, 0.32, -0.18, -0.29, 
##     -0.4, -0.43, -0.5, -0.67, -1.01, 2.5, 2.39, 2.14, 1.48, 1.03, 
##     0.88, 0.9, 0.9, 0.88, 0.18, -0.29, -0.56, -0.66, -0.79, -0.96, 
##     -1.25, -1.27, -1.3, -1.25, -1.2, -0.92, -0.85, -0.69, -0.48, 
##     -0.37, -0.32, -0.29, -0.22, -0.06, 0.08, 0.13, 0.21, 0.31, 
##     0.66, 0.8, 1.06, 1.19, 1.56, 1.98, 2.14, 2.38, 1.83, 0.32, 
##     -0.26, -0.75, -1.17, -1.51, -1.77, -1.99, -2.18, -2.39, -2.71, 
##     -2.81, -2.87, -2.99, -2.97, -2.94, -2.81, -2.41, -2.22, -1.96, 
##     -1.85, -1.65, -1.67, -1.51, -1.53, -1.33, -1.25, -1.14, -1.03, 
##     -3.08, -2.84, -2.71, -1.67, -1.61, -1.46, -1.36, -1.49, -1.43, 
##     -0.29, -0.14, -0.06, -0.02, -0.03, -0.08, -0.11, -0.06, 0, 
##     -0.96, -0.88, -0.74, -0.02, 0.13, 0.16, 0.22, 0.29, 0.37, 
##     1.04, 1.3, 1.3, 1.27, 1.3, 1.33, 1.33, 1.33, 1.27, 1.33, 
##     -0.5, -0.5, -0.43, -0.02, 0.06, 0.14, 0.34, 0.48, 0.87, 1.28, 
##     1.45, 1.65, 1.72, 1.7, 1.57, 1.51, 1.28, 1.22, 1.09, 1.24, 
##     1.22, 1.16, 1.04, 1.04, 1.11, 1.19, 1.3, 1.32, 1.28, 1.22, 
##     1.14, 1.04, 1, 0.96, 0.96, 0.96, 1.12, 1.19, 1.14, 0.53, 
##     -0.4, -0.61, -0.69, 1.35, 1.27, 1.11, 1.03, 0.95, 0.88, 0.67, 
##     0.34, -0.22, -0.47, -0.72, -0.79, -0.83, -0.93, -1.27, -1.36, 
##     -1.46, -1.65, -1.78, -1.72, -1.56, -1.46, -1.72, -1.83, -1.93, 
##     -2.01, -2.15, -2.22, -2.15, -2.07, -2.04, -1.72, -1.64, -1.56, 
##     -1.53, -1.53, -1.49, -1.46, -1.46, -1.33, -1.27, -1.04, -0.47, 
##     -0.19, -0.08, 1.35, 1.35, 1.3, 1.48, 1.51, 1.41, 1.38, 1.43, 
##     1.45, 1.38, 1.33, 1.25, 1.08, 0.35, 0.03, -0.19, -0.31, -0.29, 
##     -0.4, -0.61, -0.74, -0.88, -1.22, -1.49, 1.14, 1.22, 1.28, 
##     1.35, 1.36, 1.32, 1.19, 1.17, 1.17, 1.17, 1.01, 0.8, 0.48, 
##     0.29, -0.11, -0.22, -0.51, -0.75, -0.85, -1.08, -1.2, -1.25, 
##     -1.73, 0.02, 0, 0, 0, 0, 0, -0.02, -0.03, -0.03, -0.02, 0.03, 
##     0.05, 0.1, 0.14, 0.24, 0.42, 0.66, 0.75, 0.83, 0.95, 1.2, 
##     1.33, 1.45, 1.4, 1.04, 1.01, 1.01, 0.4, 0.48, 0.72, 1.19, 
##     1.17, 1.14, 0.92, 0.88, 0.92, 1.04, 1.08, 1.09, 1.08, 1, 
##     0.87, 0.43, 0.42, 0.63, 0.67, 0.53, 0.34, 0.06, -0.19, -0.43, 
##     -0.35, -0.19, -0.85, -0.85, -0.79, -0.71, -0.66, -0.66, -0.67, 
##     -0.71, -0.61, -0.59, -0.56, -0.5, -0.37, -0.31, 0.11, 0.32, 
##     0.4, 0.48, 0.56, 0.79, 0.96, 1.2, 1.17, 1.04, 1.03, -1.83, 
##     -2.1, -2.22, -2.52, -2.54, -2.52, -2.46, -2.28, -2.06, -2.07, 
##     -2.06, -2.06, -1.88, -1.86, -1.83, -1.81, -1.59, -1.54, -1.54, 
##     -1.54, -1.32, -1.08, -0.53, -0.42, -0.27, -0.21, -0.06, -0.05, 
##     -0.03, -0.02, 0, 0.03, 0.1, 0.14, 0.18, 0.16, 0.35, 0.37, 
##     0.37, 0.47, 0.5, 0.55, 0.53, 0.5, 0.53, 0.55, 0.55, 0.37, 
##     0.35, 0.34, 0.31, 0.27, 0.24, 0.16, 0.03, -0.13, -0.29, -0.47, 
##     -0.51, -0.47, -0.64, -0.71, -0.93, -1, -1.04, -1.04, -1.04, 
##     -1, -0.98, -0.98, -0.98, -0.88, -0.69, -0.69, -0.66, -0.64, 
##     -0.64, -0.61, -0.43, -0.29, -0.26, -0.27, -0.18, -0.16, -0.16, 
##     -0.06, 0, 0.03, 0.1, 0.14, 0.16, 0.18, 0.27, 0.27, 0.31, 
##     0.4, 0.51, 0.61, 0.72, 0.79, 0.53, 0.47, 0.4, 0.35, 0.34, 
##     0.32, 0.21, 0.06, 0, -0.18, -0.35, -0.39, -0.42, -0.4, -0.4, 
##     -0.42, -0.51, -0.64, -0.74, -0.71, -0.72, -0.66, -0.72, -0.75, 
##     -0.83, -1.06, -0.98, -0.95, -0.82, -0.69, -0.71, -0.69, -0.74, 
##     -0.71, -0.67, -0.66, -0.63, -0.56, -0.39, -0.26, -0.22, -0.16, 
##     -0.16, -0.16, -0.13, -0.1, -0.03, 0.03, 0.06, 0.1, 0.05, 
##     0.05, 0.1, 0.21, 0.58, 0.64, 0.58, 0.55, -0.59, -0.58, -0.58, 
##     -0.63, -0.69, -0.75, -0.87, -0.88, -0.88, -0.74, -0.66, -0.58, 
##     -0.47, -0.45, -0.4, -0.18, -0.11, -0.08, -0.02, 0.06, 0.11, 
##     0.22, 0.26, 0.4, 0.47, 0.55, 0.83, 0.85, 0.83, 0.82, 0.79, 
##     0.75, 0.61, 0.59, 0.58, 0.5, 0.47, 0.39, 0.31, 0.19, 0.06, 
##     -0.14, -0.24, -0.39, -0.45, -0.5, -0.51, -0.61, -0.71, -0.72, 
##     -0.83, -0.83, -0.92, -0.85, -0.96, -1.04, -1.01, -1.04, -1, 
##     -0.82, -0.64, -0.66, -0.69, -0.63, -0.42, -0.34, -0.31, -0.27, 
##     -0.27, -0.22, -0.19, -0.16, -0.16, -0.18, -0.18, -0.13, -0.08, 
##     -0.02, 0.03, 0.13, 0.26, 0.37, 0.42, 0.71, 0.77, 0.71, 0.67, 
##     0.66, -0.59, -0.66, -0.71, -0.77, -0.74, -0.72, -0.67, -0.83, 
##     -0.85, -0.83, -0.83, -0.77, -0.83, -0.85, -0.75, -0.75, -0.74, 
##     -0.72, -0.67, -0.64, -0.59, -0.55, -0.39, -0.27, -0.24, -0.21, 
##     -0.16, -0.02, 0.08, 0.21, 0.26, 0.34, 0.42, 0.75, 0.79, 0.67, 
##     0.64, 0.67, 0.59, 0.37, 0.42, 0.43, 0.34, 0.27, -0.05, -0.31, 
##     -0.5, -0.56, -0.59, -0.88, -0.9, -0.92, -0.9, -0.87, -0.8, 
##     -0.8, -0.9, -1.03, -1.08, -1.12, -1, -0.87, -0.64, -0.66, 
##     -0.64, -0.66, -0.61, -0.56, -0.45, -0.24, -0.13, -0.05, 0.24, 
##     0.35, 0.42, 0.45, 0.69, 0.77, 0.85, 1, 1.01, 0.93, 0.83, 
##     0.77, 0.79, 0.74, 0.48, -0.16, -0.24, -0.35, -0.47, -0.9, 
##     -1, -0.96, -1.01, -1.19, -1.3, -1.38, -1.12, -1.09, -1.01, 
##     -0.96, -0.93, -0.8, -0.58, -0.56, -0.61, -0.74, -0.72, -0.66, 
##     -0.53, -0.48, -0.24, -0.21, -0.08, 0.06, 0.13, 0.22, 0.31, 
##     0.45, 0.55, 0.66, 0.69, 0.75, 0.8, 0.82, 0.82, 0.61, 0.55, 
##     0.61, 0.61, 0.58, 0.53, 0.51, 0.22, 0.16, -1.72, -1.41, -0.83, 
##     -0.45, -0.34, -0.14, -0.1, 0.06, 0.08, 0.1, 0.19, 0.32, 0.42, 
##     0.8, 0.9, 1.11, 1.48, 1.51, 1.53, 1.49, 1.45, 1.36, 1.24, 
##     1.14, 1.06, 1.06, 0.98, 0.88, 0.83, 0.83, 0.8, 0.79, 0.8, 
##     0.9, 0.92, 0.92, 0.9, 0.88, 0.85, 0.79, 0.55, 0.27, -0.02, 
##     -0.35, -1.03, -1.19, -1.46, -1.54, -1.67, -1.73, -1.8, -1.56, 
##     -1.57, -1.59, -1.61, -1.53, -1.46, -1.35, -1.24, -1.17, -1.01, 
##     -0.96, -0.87, -0.75, -0.47, -0.34, -0.29, -0.27, -0.29, 0, 
##     0.06, 0.11, 0.13, 0.47, 0.69, 1.2, 1.38, 1.48, 1.56, 1.73, 
##     1.77, 1.78, 1.86, 1.85, 1.78, 1.7, 1.62, 1.43, 1.4, 1.2, 
##     1.01, 0.93, 0.88, 0.8, 0.93, 1.09, 1.12, 1, 0.21, -0.53, 
##     -0.77, -1.06, -1.25, -1.28, -1.35, -1.36, -1.51, -1.57, -1.72, 
##     -1.72, -1.73, -1.7, -1.69, -1.65, -1.59, -1.53, -1.28, -1.08, 
##     -1.03, -0.98, -0.92, -0.64, -0.34, -0.19, -0.14, -0.13, -0.08, 
##     0.08, 0.14, 0.27, 0.43, 0.8, 1, 1.46, 1.54, 1.61, 1.7, 1.78, 
##     1.78, 1.78, 1.75, 1.7, 1.69, 1.61, 1.56, 1.56, 1.46, 1.38, 
##     1.2, 1.11, 1.06, 1.01, 0.98, 0.95, 0.95, 0.95, 1.03, 1.06, 
##     1.03, 0.96, 0.48, 0.21, -0.1, -0.45, -0.93, -1.38, -1.41, 
##     -1.41, -1.45, -1.48, -1.49, -1.54, -1.62, -1.73, -1.7, -1.65, 
##     -1.64, -1.61, -1.59, 0.13, 0.14, 0.11, 0.08, 0.05, 0.27, 
##     0.55, 0.71, 0.72, 0.96, 1.01, 1.03, 0.88, -0.45, -0.21, 0.03, 
##     0.1, 0.16, 0.21, 0.21, 0.22, 0.21, 0.18, 0.02, -0.02, -0.03, 
##     0.03, 0.08, 0.13, 0.22, 0.34, 0.47, 1.11, 1.11, 1.09, 0.96, 
##     0.59, 0.47, 0.27, -0.22, -0.27, -0.26, -0.31, -0.48, -0.56, 
##     -0.83, -0.96, -0.96, -0.75, -0.75, -0.69, -0.64, -0.51, -0.42, 
##     -0.37, -0.34, -0.24, -0.18, -0.11, 0, 0.08, 0.08, 0.08, 0.06, 
##     0.13, 0.16, 0.22, 0.48, 0.53, 0.67, 0.75, 0.96, 0.82, 0.79, 
##     0.77, 0.71, 0.61, 0.51, 0.27, 0.16, 0.06, -0.18, -0.21, -0.21, 
##     -0.29, -0.43, -0.5, -0.67, -0.82, -0.8, -0.77, -0.79, -0.79, 
##     -0.77, -0.79, -0.64, -0.56, -0.43, 0.34, 0.26, 0.16, 0.02, 
##     -0.03, -0.14, -0.1, 0.02, 0.05, 0.35, 0.55, 0.75, 0.8, 0.87, 
##     0.85, 0.75, 0.71, 0.69, 0.66, 0.61, 0.61, 0.56, 0.5, 0.26, 
##     -0.14, -0.19, -0.21, -0.21, -0.19, -0.18, -0.22, -0.31, -0.4, 
##     -0.47, -0.56, -0.63, -0.71, -0.8, -0.83, -0.87, -0.82, -0.8, 
##     -0.82, -0.75, -0.74, -0.66, -0.5, -0.45, -0.39, -0.32, -0.22, 
##     -0.18, -0.14, 0.14, 0.39, 0.51, 0.74, 0.9, 0.96, 0.95, 0.92, 
##     0.9, 0.87, 0.79, 0.71, 0.42, 0.29, 0.18, 0.05, -0.13, -0.24, 
##     -0.27, -0.27, -0.29, -0.32, -0.34, -0.39, -0.43, -0.5, -0.58, 
##     -0.64, -0.69, -0.79, -0.03, 0.02, 0.05, 0.11, 0.22, 0.29, 
##     0.43, 0.5, 0.77, 1.03, 1.11, 1.12, 1.14, 1.16, 1.17, 1.22, 
##     1.14, 1.01, 0.13, -0.11, -0.22, -0.24, -0.24, -0.26, -0.27, 
##     -0.37, -0.42, -0.64, -0.93, -0.88, -0.85, -0.8, -0.53, -0.55, 
##     -0.58, -0.59, -0.64, -0.58, -0.48, -0.43, -0.26, -0.03, 0.02, 
##     0.03, 0.03, 0, -0.03, -0.06, -0.08, -0.06, 0.03, 0.19, 0.42, 
##     0.53, 0.88, 0.95, 1.35, 1.33, 1.33, 1.33, 1.36, 1.36, 1.36, 
##     1.33, 1.28, 1.24, 1.19, 1.17, 1.16, 0.19, -0.27, -0.39, -0.47, 
##     -0.5, -0.51, -0.53, -0.93, -1.22, -1.53, -1.88, -2.23, -2.36, 
##     -2.41, -2.02, -1.91, -1.77, -1.62, -1.49, -1.38, -1.22, -1.19, 
##     -1.12, -0.96, -0.88, -0.93, -0.83, -0.77, -0.72, -0.5, -0.32, 
##     -0.08, 0, 0.06, 0.16, 0.22, 0.34, 0.47, 0.59, 0.66, 0.71, 
##     0.79, 1.01, 1.48, 1.61, 1.53, 1.33, 1.28, 1.19, 1.19, 1.19, 
##     1.2, 1.28, 1.32, 1.33, 1.35, 1.35, 1.27, 1.2, 1.03, 0.8, 
##     0.66, 0.31, 0.11, -0.53, -0.8, -1.2, -1.59, -1.8, -2.02, 
##     -2.2, -2.18, -2.06, -1.89, -1.73, -1.75, -1.7, -1.67, -1.57, 
##     -1.46, -1.32, -1.2, -0.98, -0.93, -0.9, -0.87, -0.85, -0.83, 
##     -0.72, -0.31, -0.21, -0.1, -0.02, 0.11, 0.27, 0.4, 0.75, 
##     0.92, 1.09, 1.19, 1.19, 1.06, -1.41, -1.45, -1.48, -1.54, 
##     -1.33, -1.36, -1.38, -1.38, -1.36, -1.27, -1.17, -1.03, -0.9, 
##     -0.69, -0.66, -0.56, -0.47, -0.43, -0.35, -0.27, -0.19, -0.13, 
##     -0.14, -0.14, -0.16, -0.14, -0.16, -0.18, -0.16, -0.14, -0.14, 
##     -0.11, -0.06, -0.08, -0.1, -0.11, -0.21, -0.24, -0.26, -0.26, 
##     -0.24, -0.24, -0.18, -0.03, 0, 0.02, -0.03, -0.13, -0.1, 
##     -0.11, -0.16, -0.13, -0.08, -0.03, -0.02, 0.02, 0.13, 0.21, 
##     0.21, 0.16, 0.13, 0.06, 0.06, -0.05, -0.1, -0.13, -0.06, 
##     -0.1, -0.13, -0.16, -0.13, -0.18, -0.05, -0.13, -0.1, -0.1, 
##     -0.11, -0.13, -0.06, 0.03, 0.03, 0.03, 0.02, 0.79, 0.61, 
##     0, -0.03, -0.19, -0.14, -0.1, 0.03, 0.1, 0, 0.13, 0.13, 0.16, 
##     0.13, 0.06, 0.03, 0.05, 0.05, 0.06, 0.06, 0.06, 0.05, 0.08, 
##     0.1, 0.14, 0.21, 0.21, 0.21, 0.06, 0.03, -0.02, -0.08, -0.02, 
##     0, 0, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, 
##     -0.05, -0.05, -0.03, 0, 0.02, 0.02, 0, 0, 0.02, 0.03, 0.06, 
##     0.06, 0.08, 0.24, 0.27, 0.32, 0.39, 0.43, 0.5, 0.59, 0.67, 
##     0.71, 1, 0.75, 0.71, 0.71, 0.58, 0.53, 0.05, -0.05, -0.14, 
##     -0.42, -0.5, -0.8, -0.83, -0.92, -1.14, -1.11, -0.96, -0.88, 
##     -0.77, -0.66, -0.61, -0.55, -0.61, -0.55, -0.31, -0.18, -0.11, 
##     0.03, 0.16, 0.27, 0.37, 0.56, 0.59, 0.67, 0.82, 0.82, 0.85, 
##     0.88, 1, 1.04, 1.04, 0.98, 0.87, 0.69, 0.64, 0.67, 0.48, 
##     0.29, -0.05, -0.21, -0.34, -0.42, -0.51, -0.66, -0.87, -1.2, 
##     -1.22, -1.28, -1.4, -1.51, -1.61, -1.61, -1.38, -1.06, -0.9, 
##     -0.79, -0.72, -0.63, -0.53, -1.06, -1.09, -1.14, -1.12, -1.19, 
##     -1.33, -1.36, -1.48, -1.56, -1.46, -1.45, -1.43, -1.32, -1.01, 
##     -0.77, -0.64, -0.26, -0.14, 0.58, 1.11, 1.12, 1.16, 1.24, 
##     1.3, 1.28, 1.27, 1.24, 1.09, 0.9, 0.83, 0.77, 0.67, 0.64, 
##     0.61, 0.5, 0.42, -0.02, -0.27, -0.35, -0.64, -0.74, -0.79, 
##     -0.9, -0.96, -0.92, -0.93, -1.17, -1.08, -0.93, -0.85, -0.75, 
##     -0.77, -0.72, -0.64, -0.56, -0.47, -0.4, -0.22, -0.05, 0.05, 
##     0.14, 0.22, 0.32, 0.39, 0.48, 0.69, 0.88, 1.01, 1.04, 1.04, 
##     1.04, 1.06, 1.09, 1.06, 1, 0.85, 0.79, 0.71, 0.66, 0.61, 
##     0.55, 0.35, 0.27, 0.14, 0.06, 0, -0.06, -0.19, -0.32, -0.4, 
##     -0.48, -0.56, -0.93, -0.98, -0.98, -0.92, -0.87, -0.9, -0.9, 
##     -0.85, -0.83, -0.74, -0.83, -0.85, -0.75, 0.32, 0.37, 0.61, 
##     0.74, 1.38, 1.3, 1.11, 0.85, -0.19, -0.55, -1.09, -1.67, 
##     -1.85, -2.01, -2.33, -2.49, -2.6, -2.47, -2.49, -2.38, -2.44, 
##     -2.15, -2.09, -1.89, -1.75, -1.61, -1.41, -1.22, -1.03, -0.8, 
##     -0.59, -0.24, -0.13, 0, 0.35, 0.45, 0.51, 0.79, 0.98, 1.83, 
##     2.28, 2.47, 2.55, 2.59, 2.6, 2.59, 2.6, 2.54, 2.12, 1.85, 
##     1.59, 1.28, 1.08, 1.06, 1.01, 0.79, 0.59, 0.13, -0.21, -0.51, 
##     -0.82, -1.65, -2.26, -2.65, -2.67, -2.7, -2.68, -2.54, -2.54, 
##     -2.63, -2.76, -2.57, -2.46, -2.33, -2.28, -2.36, -2.23, -2.09, 
##     -1.83, -1.62, -1.22, -0.96, -0.48, -0.19, 0.06, 0.88, 1.3, 
##     1.45, 1.61, 1.81, 2.31, 2.84, 2.79, 2.54, 2.23, 1.83, 1.75, 
##     1.69, 1.62, 1.49, 1.08, 0.82, 0.48, -1.09, -1.36, -2.17, 
##     -2.31, -2.57, -2.57, -2.2, -2.23, -2.06, -1.98, -1.98, -1.89, 
##     -1.83, -1.59, -1.41, -1.24, -1.17, -1.11, -1.06, -0.96, -0.85, 
##     -0.69, -0.51, -0.39, -0.11, 0.21, 0.03, -0.02, -0.06, -0.06, 
##     -0.06, -0.06, -0.05, -0.03, -0.03, -0.03, -0.05, -0.06, -0.03, 
##     -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, 0.02, 0.02, 
##     0, -0.02, -0.05, 0, 0.02, 0.02, 0, 0.16, 0.27, 0.35, 0.42, 
##     0.48, 0.74, 0.8, 0.85, 0.93, 1.08, 1.08, 1.01, 1, 0.98, 0.95, 
##     0.98, 0.93, 0.56, 0.42, -0.26, -0.21, -0.26, -0.31, -0.37, 
##     -0.43, -0.55, -0.79, -0.93, -0.98, -1.09, -1.03, -1.08, -1.06, 
##     -0.82, -0.88, -0.9, -0.87, -0.82, -0.8, -0.29, -0.27, -0.18, 
##     -0.06, 0.03, 0.1, 0.1, 0.13, 0.18, 0.21, 0.26, 0.27, 0.34, 
##     0.5, 0.61, 0.71, 0.93, 1.2, 1.25, 1.16, 1.09, 1.04, 0.9, 
##     0.66, 0.58, 0.47, 0.4, -0.02, -0.14, -0.14, -0.16, -0.18, 
##     -0.34, -0.64, -0.67, -0.82, -1, -0.96, -1.17, -1.19, -0.9, 
##     -0.82, -0.8, -0.75, -0.74, -0.69, -0.56, -0.4, -0.27, -0.18, 
##     -0.03, 0.06, 0.18, 0.18, 0.26, 0.34, 0.67, 0.75, 0.87, 0.96, 
##     1.4, 1.41, 1.4, 1.41, 1.28, 0.74, 0.58, -0.05, -0.1, -0.22, 
##     -0.5, -0.58, -0.59, -0.69, -0.82, -0.93, -0.75, -0.88, -1.08, 
##     -0.93, -0.18, -0.06, 0.02, 0.35, 0.51, 0.69, 0.83, 0.93, 
##     1.67, 1.75, 1.8, 1.57, 1.49, 1.38, 1.24, 0.95, 0.83, 0.26, 
##     0.1, -0.06, -0.18, -0.27, -0.35, -0.74, -0.88, -1.06, -0.87, 
##     -0.93, -1.04, -1.06, -1.01, -1.3, -1.43, -1.48, -1.43, -1.33, 
##     -1.24, -0.83, -0.56, -0.29, -0.1, -0.02, 0, 0.03, 0.18, 0.24, 
##     0.71, 1.25, 1.77, 1.7, 1.51, 1.38, 1.24, 1.17, 1.11, 1.06, 
##     0.98, 0.87, 0.58, 0.45, 0.08, -0.03, -0.21, -0.4, -0.53, 
##     -0.74, -0.88, -1.17, -1.06, -1.08, -1.14, -1.08, -1.19, -1.22, 
##     -0.83, -0.51, 0.02, 0.08, 0.16, 0.22, 0.29, 0.34, 0.45, 0.58, 
##     1.45, 1.41, 1.32, 1.24, 1.19, 1.01, 0.93, 0.83, 0.69, 0.51, 
##     0.31, 0.02, -0.06, -0.16, -0.26, -0.31, -0.35, -0.55, -0.75, 
##     -1.24, -1.41, -1.51, -1.57, -1.53, -1.49, -1.3, -1.35, -1.36, 
##     -1.06, -1, -0.79, -0.63, -0.48, -0.31, -0.16, 0.19, 0.22, 
##     0.34, 0.66, 0.74, 1.54, 1.62, 1.67, 1.72, 1.67, 1.12, 0.53, 
##     0.22, 0.11, 0.02, -0.05, -0.11, -0.43, -0.59, -0.72, -0.85, 
##     -1.09, -1.19, -1.24, -1.32, -1.4, -1.27, -1.33, -1.24, -1.16, 
##     -1.35, -1.43, -1.43, -1.19, -0.67, -0.14, 0, 0.08, 0.16, 
##     0.32, 1.04, 1.11, 1.38, 1.46, 1.61, 1.61, 1.46, 1.03, 0.92, 
##     0.69, 0.21, 0.08, -0.02, -0.31, -0.47, -0.69, -0.77, -0.83, 
##     -1.03, -1.11, -1.08, -1.24, -1.11, -1.2, -1.32, -1.45, -1.43, 
##     -1.03, -0.61, -0.4, -0.16, 0.1, 0.21, 0.31, 0.53, 0.67, 0.82, 
##     1.59, 1.56, 1.49, 1.36, 1.08, 1.01, 0.98, 0.45, -0.32, -0.51, 
##     -0.69, -0.77, -0.92, -1.16, -1.16, -1.01, -1.12, -1.17, -1.27, 
##     -1.22, -1, -0.47, -0.18, 0.03, 0.13, 0.27, 0.32, 0.37, 0.72, 
##     1.16, 1.3, 1.48, 1.36, 1.24, 1.2, 1.09, 0.9, 0.8, 0.72, -0.1, 
##     -0.08, -0.08, -0.11, -0.16, -0.21, -0.29, -0.5, -0.53, -0.56, 
##     -0.61, -0.63, -0.67, -0.93, -0.92, -0.98, -1.08, -1.12, 0, 
##     0.05, 0.08, 0.08, 0.06, 0.05, 0.03, 0.03, 0.05, -0.02, -0.05, 
##     -0.1, -0.08, -0.05, -0.03, -0.05, -0.06, -0.08, -0.05, 0, 
##     0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.03, -0.03, -0.02, -0.03, 
##     -0.06, -0.06, -0.03, 0, -0.74, -0.79, -1.08, -1.54, -1.64, 
##     -1.78, -1.85, -2.12, -2.02, -1.86, -1.77, -1.88, -1.88, -1.49, 
##     -1.17, -0.87, -0.34, -0.06, 0.18, 0.61, 0.75, 1.45, 1.61, 
##     1.73, 1.77, 1.75, 1.93, 1.91, 1.88, 1.85, 1.61, -1.86, -1.41, 
##     -1.32, -1.51, -1.56, -1.61, -1.7, -1.69, -1.62, -1.19, -1.04, 
##     -0.98, -1.01, -1.04, -1.01, -1.01, -1, -0.93, -0.82, -0.69, 
##     -0.61, -0.64, -0.66, -0.71, -0.11, 0.08, 0.27, 0.29, 0.48, 
##     0.59, 1, -1.24, -1.12, -1.04, -0.92, -0.87, -0.87, -0.92, 
##     -0.96, -0.93, -0.83, -0.77, -0.92, -0.88, -0.83, -0.82, -0.74, 
##     -0.74, -0.72, -0.67, -0.61, -0.56, -0.45, -0.1, -0.11, -0.13, 
##     -0.18, -0.27, -0.32, -0.43, -0.48, -0.58, -0.63, -0.71, -0.79, 
##     -0.88, -1.49, -2.14, -2.28, -2.42, -2.57, -2.68, -2.76, -2.86, 
##     -2.92, -2.84, -2.7, -2.6, -2.42, -2.39, -2.39, -2.1, -1.98, 
##     -1.85, -1.75, -1.59, -1.54, -1.53, -1.06, -0.24, -0.22, -0.29, 
##     -0.42, -0.47, -0.51, -0.53, -0.59, -0.64, -0.74, -0.77, -0.77, 
##     -0.69, -0.42, -0.34, -0.35, -0.35, -0.39, -0.39, -0.39, -0.39, 
##     -0.37, -0.4, -0.35, -0.34, -0.27, -0.26, -0.32, -0.27, -0.27, 
##     -0.24, -0.05, 0, -0.34, -0.56, -0.58, -0.51, -0.67, -0.75, 
##     -0.75, -0.77, -0.74, -0.74, -0.74, -0.72, -0.69, -0.58, -0.55, 
##     -0.51, -0.47, -0.42, -0.39, -0.37, -0.45, -0.61, -0.59, -0.59, 
##     -0.26, -0.34, -0.37, -0.4, -0.42, -0.32, -0.06, 0.03, 0.05, 
##     0.08, 0.13, 0.27, 0.21, 0.05, -0.06, -0.11, -0.06, -0.24, 
##     -0.34, -0.42, -0.4, -0.35, -0.34, -0.42, -0.47, -0.48, -0.45, 
##     -0.42, -0.48, -0.5, -0.5, -0.56, -0.59, -0.61, -0.61, -0.64, 
##     -0.67, -0.71, -0.75, -0.75, -0.79, -0.83, -0.87, -0.96, -0.95, 
##     -0.93, -0.9, -0.9, -0.98, -1.03, -1.08, -1.04, -0.98, -0.83, 
##     -0.82, -0.85, -0.88, -0.8, -0.77, -0.72, -0.67, -0.66, -0.66, 
##     -0.71, -0.72, -0.72, -0.75, -0.75, -0.82, -0.77, -0.77, -0.72, 
##     -0.67, -0.64, -0.59, -0.53, -0.37, 0.03, 0.16, 0.26, 0.27, 
##     0.27, 0.27, 0.31, 0.31, 0.19, 0.14, 0.11, 0.06, 0.02, 0, 
##     -0.1, -0.14, -0.27, -0.26, -0.31, -0.32, -0.32, -0.32, -0.34, 
##     -0.35, -0.39, -0.39, -0.39, -0.43, -0.53, -0.56, -0.58, -0.59, 
##     -0.61, -0.64, -0.69, -0.75, -0.79, -0.95, -0.96, -0.96, -0.98, 
##     -1, -0.88, -0.59, -0.48, -0.42, -0.37, -0.37, -0.4, -0.37, 
##     -0.11, 0, 0.14, 0.16, 0.14, 0.16, 0.18, 0.21, 0.26, 0.34, 
##     0.34, 0.37, 0.35, 0.31, 0.26, 0.24, 0.21, 0.16, -0.19, -0.21, 
##     -0.24, -0.29, -0.27, -0.35, -0.37, -0.45, -0.5, -0.5, -0.5, 
##     -0.5, -0.51, -0.56, -0.59, -0.63, -0.64, -0.67, -0.74, -0.8, 
##     -0.88, -0.92, -0.92, -0.95, -1.06, -1.16, -1.25, -1.17, -1.04, 
##     -0.98, -0.96, -1, -1.03, -0.83, -0.79, -0.74, -0.67, -0.69, 
##     -0.74, -0.79, -0.82, -0.82, -0.82, -0.79, -0.55, -0.51, -0.51, 
##     -0.5, -0.47, -0.43, -0.06, 0.16, 0.24, 0.16, 0.13, 0.14, 
##     0.1, -0.02, -0.03, -0.05, -0.13, -0.16, -0.21, -0.22, -0.24, 
##     -0.24, -0.24, -0.26, -0.27, -0.4, -0.45, -0.47, -0.45, -0.45, 
##     -0.53, -0.56, -0.61, -0.59, -0.58, -0.58, -0.61, -0.64, -0.79, 
##     -1, -1.01, -1.08, -1.08, -1.04, -1.11, -1.24, -1.25, -1.12, 
##     -1.06, -0.9, -0.93, -0.83, -0.82, -0.67, -0.66, -0.66, -0.66, 
##     -0.67, -0.71, -0.74, -0.74, -0.72, -0.63, -0.56, -0.48, -0.43, 
##     -0.39, -0.21, -0.19, -0.14, -0.13, -0.13, -0.13, -0.1, -0.02, 
##     0.05, 0.08, -0.02, 0.02, -0.02, -0.05, -0.26, -0.32, -0.37, 
##     -0.37, -0.39, -0.4, -0.42, -0.42, -0.42, -0.42, -0.37, -0.39, 
##     -0.42, -0.5, -0.53, -0.66, -0.71, -0.77, -0.8, -0.72, -0.66, 
##     -0.63, -0.61, -0.59, -0.58, -0.56, -0.55, -0.5, -0.42, -0.32, 
##     -0.08, -0.03, -0.02, 0.02, 0.03, 0.02, 0.05, 0.06, 0.06, 
##     0.03, -0.02, -0.03, -0.11, 0.06, 0.06, 0.03, -0.02, -0.05, 
##     -0.1, -0.13, -0.24, -0.27, -0.32, -0.37, -0.43, -0.47, -0.48, 
##     -0.5, -0.51, -0.55, -0.55, -0.51, -0.47, -0.5, -0.56, -0.63, 
##     -0.71, -0.87, -1.06, -1.09, -1.17, -1.2, -1.22, -1.08, -0.98, 
##     -0.93, -0.98, -1.2, -1.22, -1.2, -1.03, -0.92, -0.8, -0.71, 
##     -0.59, -0.45, -0.42, -0.39, -0.37, -0.39, -0.39, -0.37, -0.27, 
##     -0.22, -0.13, -0.05, 0.14, 0.31, 0.31, 0.27, 0.24, 0.08, 
##     0.05, 0.05, -0.03, -0.05, -0.08, -0.16, -0.21, -0.27, -0.37, 
##     -0.42, -0.5, -0.51, -0.56, -0.56, -0.59, -0.56, -0.45, -0.53, 
##     -0.66, -0.77, -0.8, -1.11, -1.09, -1.04, -1.09, -1.14, -1.2, 
##     -1.2, -1.17, -1.14, -1.01, -0.98, -0.96, -1, -0.95, -0.87, 
##     -0.88, -0.92, -0.93, -0.93, -0.92, -0.87, -0.83, -0.72, -0.69, 
##     -0.66, -0.51, -0.47, -0.14, 0.06, 0.14, 0.16, 0.18, 0.37, 
##     0.39, 0.37, 0.31, 0.14, 0.06, 0.08, 0.13, 0.21, -0.06, -0.1, 
##     -0.22, -0.29, -0.27, -0.32, -0.5, -0.59, -0.55, -0.47, -0.45, 
##     -0.51, -0.56, -0.61, -0.64, -0.64, -0.64, -0.67, -0.77, -0.88, 
##     -1.01, -1.14, -1.12, -1.16, -1.19, -1.27, -1.25, -1.24, -1.22, 
##     -1.16, -1.09, -1.06, -0.88, -0.88, -0.88, -0.83, -0.72, -0.56, 
##     -0.48, -0.43, -0.55, -0.56, -0.59, -0.64, -0.69, -0.72, -0.82, 
##     -0.85, -0.9, -0.95, -0.93, -0.93, -0.92, -0.85, -0.83, -0.79, 
##     -0.72, -0.67, -0.66, -0.64, -1.08, -1.25, -1.33, -1.19, -0.98, 
##     -0.95, -0.95, -1, -1.04, -0.72, -0.69, -0.82, -0.79, -0.83, 
##     -0.88, -0.88, -0.92, -0.63, -0.63, -0.63, -0.63, -0.59, -0.58, 
##     -0.55, -0.56, -0.56, -0.56, -0.58, -0.56, -0.56, -0.56, -0.51, 
##     -0.48, -0.42, -0.37, -0.37, -0.35, -0.34, -0.26, -0.22, -0.19, 
##     -0.13, -0.1, -0.08, -0.14, -0.16, -0.14, -0.06, 0.16, 0.24, 
##     0.55, 0.63, 0.69, 0.75, 0.93, 0.95, 0.92, 0.93, 0.83, 0.72, 
##     0.63, 0.53, 0.55, 0.53, 0.48, 0.37, 0.11, -0.03, -0.06, -0.05, 
##     -0.13, -0.18, -0.22, -0.29, -0.43, -0.51, -0.55, -0.56, -0.8, 
##     -0.95, -1.16, -1.27, -1.91, -2.12, -2.2, -1.81, -1.65, -1.45, 
##     -1.24, -1.27, -1.3, 0.96, 0.93, 0.88, 0.8, 0.8, 0.79, 0.75, 
##     0.74, 0.67, 0.55, 0.24, 0.21, 0.18, 0.14, 0.06, 0.02, 0.02, 
##     -0.02, -0.03, 0.37, 0.19, 0.08, 0.06, 0.06, 0.05, 0.05, 0.03, 
##     -0.03, -0.08, -0.18, -0.29, -0.48, -0.69, -0.85, -0.98, -0.98, 
##     -0.98, -0.98, -1.03, -1.09, -1.12, -1.25, -1.04, -0.95, -0.74, 
##     -0.67, -0.61, -0.59, -0.58, -0.53, -0.37, -0.27, -0.16, 0.19, 
##     0.26, 0.32, 0.4, 0.51, 0.77, 1.01, 1.03, 0.74, 0.67, 0.95, 
##     1, 1.04, 0.26, 0.21, 0.21, 0.27, 0.27, 0.24, 0.19, 0.1, 0.05, 
##     -0.16, -0.22, -0.37, -0.45, -0.5, -0.56, -0.61, -0.66, -0.66, 
##     -0.63, -0.69, -0.95, -1.32, -1.38, -1.4, -1.38, -1.36, -1.36, 
##     -1.33, -1.33, -1.35, -1.38, -1.43, -1.48, -1.53, -1.62, -1.64, 
##     -1.69, -1.72, -1.65, -1.54, -1.49, -1.27, -1.28, -1.25, -1.22, 
##     -1.09, -1.11, -1.14, -1.25, -1.32, -1.3, -1.22, -1.16, -1.11, 
##     -1.04, -0.74, -0.59, -0.27, -0.24, -0.22, -0.22, 0.35, 0.53, 
##     0.71, 0.92, 1.09, 1.08, 1.12, 1.11, 1.08, 1.11, 1.08, 1.01, 
##     0.96, 0.88, 0.82, 0.71, 0.66, 0.45, 0.43, 0.39, 0.35, 0.32, 
##     0.14, 0.16, 0.16, 0.18, 0.16, -0.18, -0.45, -0.58, -0.79, 
##     -0.82, -0.8, -0.75, -0.71, -0.66, -0.72, -0.95, -1.04, -1.38, 
##     -1.38, -1.38, -1.36, -1.33, -1.28, -1.33, -1.33, -1.22, -1.12, 
##     -1.14, -1.2, -1.32, -1.28, -1.09, -1, -0.71, -0.71, -0.87, 
##     -0.95, -1, -1.04, -1.09, -1.11, -1.08, -1.06, -1.03, -0.96, 
##     -0.93, -0.61, -0.32, -0.31, -0.31, -0.35, -0.43, -0.45, -0.35, 
##     -0.31, -0.05, 0.37, 0.5, 0.59, -0.19, -0.67, -0.72, -0.79, 
##     -0.72, -0.67, -0.71, -0.75, -0.8, -0.85, -0.88, -0.95, -1.04, 
##     -1.11, -1.12, -1.16, -1.14, -1.12, -1.04, -1.04, -1.04, -1.28, 
##     -1.36, -1.51, -0.1, -0.43, -0.45, -0.42, -0.37, -0.31, -0.19, 
##     -0.18, -0.16, -0.14, 0.31, 0.37, 0.4, 0.4, 0.37, 0.31, 0.26, 
##     0.22, 0.21, 0.22, 0.06, 0.08, 0.1, 0.1, 0.03, -0.1, -0.14, 
##     -0.21, -0.26, -0.39, -0.58, -0.61, -0.66, -0.69, -0.85, -0.9, 
##     -0.93, -0.95, -0.96, -0.98, -1, -1.08, -1.09, -1.09, -1.04, 
##     -1.03, -1, -1, -0.98, -0.96, -0.95, -0.93, -0.82, -0.82, 
##     -0.83, -0.85, -0.87, -0.85, -0.72, -0.71, -0.53, -0.45, -0.29, 
##     -0.22, -0.13, 0, 0.08, 0.21, 0.27, 0.26, 0.45, 0.59, 0.55, 
##     0.47, 0.35, 0.1, -0.05, -0.16, -0.24, -0.21, -0.08, -0.02, 
##     0.03, 0, -0.06, -0.32, -0.37, -0.39, -0.42, -0.48, -0.67, 
##     -0.74, -0.77, -0.79, -0.79, -0.79, -0.8, -0.88, -0.96, -0.98, 
##     -1, -0.98, -0.88, -0.8, -0.79, -0.79, -0.83, -0.85, -0.88, 
##     -0.9, -0.88, -0.9, -0.98, -0.95, -0.93, -0.95, -0.87, -0.83, 
##     -0.82, -0.87, -0.98, -0.67, -0.58, -0.4, -0.16, -0.11, -0.08, 
##     0.24, 0.35, 0.4, 0.37, 0.21, 0.1, 0.03, 0.05, 0.06, 0.05, 
##     -0.93, -0.9, -0.9, -0.9, -0.9, -0.88, -0.88, -0.72, -0.66, 
##     -0.66, -0.67, -0.77, -0.8, -0.82, -0.93, -0.95, -0.9, -0.8, 
##     -0.72, -0.56, -0.29, -0.08, -0.03, -0.59, -0.63, -0.69, -0.72, 
##     -0.98, -1, -1.01, -1.03, -1.09, -1.12, -1.14, -1.09, -1.09, 
##     -1.04, -0.95, -0.95, -0.93, -0.95, -0.96, -0.98, -0.93, -0.88, 
##     -0.74, -0.75, -0.8, -0.83, -1.12, -0.63, -0.58, -0.53, -0.47, 
##     -0.39, -0.39, -0.39, -0.34, -0.02, 0.11, 0.21, 0.29, 0.29, 
##     0.22, 0.24, 0.24, 0.19, 0.13, 0.1, 0, -0.03, -0.05, -0.03, 
##     -0.06, -0.1, -0.11, -0.08, -0.08, -0.1, 0.05, 0.06, 0.14, 
##     0.24, 0.31, 0.32, 0.34, 0.31, 0.27, 0.27, 0.24, 0.29, 0.1, 
##     0.03, -0.08, -0.14, -0.19, -0.27, -0.48, -0.03, -0.08, -0.11, 
##     -0.18, -0.35, -0.51, -0.56, -0.67, -0.63, -0.61, -0.63, -0.64, 
##     -0.66, -0.66, -0.74, -0.8, -0.9, -0.92, -0.95, -0.96, -0.95, 
##     -0.93, -0.93, -0.93, -1.51, -1.36, -1.45, -1.53, -1.59, -1.35, 
##     -1.22, -1.17, -1.11, -1.09, -1.09, -1.12, -1.01, -0.9, -0.66, 
##     -0.5, -0.34, -0.13, 0.72, 0.72, 0.69, 0.71, 0.67, 0.69, 0.75, 
##     0.82, 0.79, 0.69, 0.47, 0.37, 0.29, 0.19, 0, -0.05, 0, 0.05, 
##     0.03, -0.02, 0.08, -0.02, -0.11, -1.12, -1.17, -1.2, -1.25, 
##     -1.33, -1.33, -1.33, -1.35, -1.38, -1.54, -1.59, -1.62, -1.67, 
##     -1.64, -1.33, -1.16, -0.93, -0.93, -1.08, -1.19, -1.38, -1.4, 
##     -1.32, -1.24, -1.03, -1, 0, -0.02, 0.06, 0.13, 0.72, 0.87, 
##     1.08, 1.57, 1.67, 1.73, 1.81, 1.35, 1.28, 1.16, 1.03, 0.92, 
##     0.85, 0.74, 0.55, -0.5, -0.63, -1.06, -0.5, -0.39, -0.13, 
##     0.1, 0.29, 0.32, 0.31, 0.29, 0.21, 0.18, 0.16, 0.14, 0.02, 
##     -0.16, -0.16, -0.21, -0.18, -0.02, -0.03, 0.55, 0.48, 0.32, 
##     0.22, 0.14, 0.03, -0.05, -0.11, -0.18, -0.19, -0.21, -0.22, 
##     -0.05, 0.05, 0.05, 0.05, 0.06, 0.06, 0.05, 0.03, -1.06, -1.08, 
##     -1.09, -0.83, -0.77, -0.66, -0.59, -0.58, -0.5, -0.42, -0.4, 
##     -0.43, -0.45, -0.37, -0.21, -0.16, -0.13, -0.13, 0.63, 0.34, 
##     0.1, 0, -0.08, -0.27, -0.29, -0.35, -0.45, -0.53, -0.59, 
##     -0.69, -0.64, -0.64, -0.67, -0.75, -0.82, -0.8, -0.8, -0.79, 
##     -0.64, -0.55, -0.43, -0.47, -0.51, -0.51, -1.57, -1.54, -1.53, 
##     -1.53, -1.56, -1.51, -1.48, -1.32, -1.22, -1.16, -1.04, -0.96, 
##     -0.77, -0.66, -0.53, -0.34, -0.21, 0.11, 0.14, 0.19, 0.21, 
##     0.24, 0.22, 0.19, 0.14, 0.06, -0.19, -0.19, -0.1, -0.45, 
##     -0.34, -0.29, -0.27, -0.08, 0.27, 0.56, 0.71, 0.79, 0.72, 
##     0.66, 0.61, 0.58, 0.55, 0.35, 0.24, 0.13, -0.32, -0.43, -0.53, 
##     -0.58, 0.59, 0.59, 0.56, 0.55, 0.51, 0.31, 0.1, -0.16, -0.21, 
##     -0.37, -0.43, -0.55, -0.75, -0.88, -0.98, -0.93, -1.04, -1.01, 
##     -1.08, -1.11, -1.12, -1.19, -1.22, -1.17, -1.12, -0.8, -0.71, 
##     -0.72, -0.82, -0.8, -0.75, 0.51, 0.5, 0.45, 0.42, 0.34, 0.32, 
##     0.31, 0.27, 0.21, -0.29, -0.39, -0.47, -0.51, -0.55, -0.53, 
##     -0.55, -0.5, -0.48, -0.47, -0.48, -0.51, -0.58, -0.59, 0.34, 
##     0.35, 0.4, 0.31, -0.02, -0.14, -0.27, -0.42, -0.4, -0.39, 
##     -0.34, -0.42, -0.5, -0.64, -0.74, -0.8, -0.87, -0.8, -0.72, 
##     -0.75, -0.98, -0.77, -0.56, -0.45, -0.18, -0.13, -0.14, -0.1, 
##     -0.13, -0.11, -0.08, 0, 0.11, 0.19, 0.27, 0.34, 0.58, 0.63, 
##     0.59, 0.55, 0.53, 0.4, -0.48, -0.27, 0.95, 1.03, 1.01, 1.03, 
##     1.06, 1.14, 1.14, 1.14, 1.12, 1.08, 0.88, 0.85, 0.85, 0.87, 
##     0.93, 1.01, 1, 0.69, 0.48, 0.29, 0.13, -0.05, -0.19, -0.32, 
##     -0.45, -0.53, -0.67, -0.77, 1.03, 1.12, 0.95, 0.93, 1.06, 
##     1.11, 1.14, 1.17, 1.14, 1.09, 1.01, 0.93, 0.75, 0.64, 0.31, 
##     0.18, 0.13, -0.4, -0.72, -1, -1.2, -1.33, 0.35, 0.4, 0.45, 
##     0.74, 0.77, 0.75, 0.75, 0.79, 0.8, 0.8, 0.72, 0.69, 0.71, 
##     0.69, 0.69, 0.67, 0.66, 0.64, 0.58, 0.47, 0.35, -0.24, -0.35, 
##     -0.26, -0.26, -0.32, -0.58, -0.66, -0.71, -0.71, -0.75, -0.74, 
##     -1.12, -1.17, -1.14, -1.16, -1.11, -1.09, -1.03, -0.93, -0.75, 
##     -0.69, -0.61, -0.53, -0.22, -0.08, 0.24, 0.58, 0.71, 0.88, 
##     0.93, 0.93, 0.9, 0.87, 0.8, 0.77, 0.71, 0.75, 0.96, 1.03, 
##     1.03, 0.9, 0.82, 0.72, 0, -0.08, -0.18, -0.18, -0.24, -0.34, 
##     -0.42, -0.55, 0.66, 0.71, 0.75, 1.04, 1.12, 1.14, 1.11, 0.55, 
##     -0.21, -0.37, -0.32, -0.42, -0.51, -0.95, -0.88, -0.93, -0.98, 
##     -1.03, -1.04, -1.12, -1.11, -1.01, -0.45, -0.39, -0.35, -0.29, 
##     -0.21, 0.02, 0.13, 0.22, 0.29, 0.43, 0.72, 0.79, 0.8, 0.79, 
##     0.75, 0.75, 0.75, 0.77, 0.82, 0.83, 0.82, 0.8, 0.75, 0.67, 
##     0.58, 0.55, 0.58, 0.4, 0.06, -0.21, -0.32, -0.34, -0.35, 
##     -0.39, -0.51, -0.66, -0.71, -0.79, -0.75, -0.77, -0.85, -0.98, 
##     -0.95, -0.87, -0.87, -0.92, -0.92, -1.01, -0.93, -0.87, -0.69, 
##     -0.56, -0.16, -0.59, -0.67, -0.77, -0.8, -0.92, -1.01, -1.06, 
##     -1.09, -1.09, -1.01, -1, -1.08, -1.11, -1.03, -0.96, -0.83, 
##     -0.75, -0.77, -0.83, -0.88, -0.26, -0.22, -0.19, -0.14, -0.16, 
##     -0.08, -0.02, 0.26, 0.37, 0.37, 0.4, 0.47, 0.48, 0.51, 0.58, 
##     0.64, 0.67, 0.72, 0.66, 0.61, 0.56, 0.51, 0.48, 0.47, 0.37, 
##     0.22, 0, -0.06, -0.26, -0.31, -0.35, -0.35, -0.35, -0.24, 
##     -0.18, -0.06, 0.06, -0.95, -0.48, -0.34, -0.21, -0.18, -0.1, 
##     -0.08, 0, 0.05, 0.06, 0.02, 0.03, 0.05, 0.05, 0.06, 0.1, 
##     0.11, 0.13, 0.19, 0.22, 0.24, 0.27, 0.32, 0.37, 0.4, 0.77, 
##     0.61, -0.53, -1, -1.28, -1.56, -1.69, -1.65, -1.54, -1.24, 
##     -1.04, -0.95, -0.8, -0.77, -0.72, -0.74, -0.67, -0.56, -0.26, 
##     -0.1, -0.14, -0.08, -0.05, -0.05, -0.03, 0.02, 0.05, 0.08, 
##     0.11, 0.32, 0.42, 0.61, 0.75, 0.79, 0.79, 0.79, 0.77, 0.77, 
##     0.47, 0.19, 0.05, -0.13, -0.42, -0.55, -0.74, -0.92, -1.09, 
##     -1.17, -1.25, -1.32, -0.14, 0.02, 0.06, 0.19, 0.24, 0.29, 
##     0.37, 0.53, 0.8, 0.8, 0.83, 0.82, 0.77, 0.74, 0.69, 0.37, 
##     0.19, -0.19, -0.51, -0.71, -0.93, -0.98, -1.04, -1.16, -1.2, 
##     -1.22, -1.25, -1.24, -1.24, -1.24, -1.2, -1.17, -1.11, -0.95, 
##     -0.93, -1.01, -1, -0.77, -0.47, -0.39, -0.19, -0.11, -0.13, 
##     -0.08, -0.06, 0.08, 0.08, 0.08, 0.1, 0.29, 0.35, 0.4, 0.47, 
##     0.51, 0.58, 0.55, 0.56, 0.56, 0.55, 0.47, 0.24, 0.08, -0.1, 
##     -0.26, -0.43, -0.58, -0.69, -0.88, -0.98, -1.45, -1.46, -1.38, 
##     -1.27, -0.1, -0.27, -0.45, -0.51, -0.72, -0.87, -1.01, -1.25, 
##     -1.33, -1.36, -1.4, -1.41, -1.36, -1.35, -1.28, -1.17, -1.14, 
##     -1.11, -1.12, -1.19, -1.14, -0.88, -0.8, -0.74, -0.59, -0.5, 
##     -0.43, -0.34, -0.26, -0.19, -0.16, -0.1, -0.02, 0, -0.03, 
##     -0.03, -0.03, -0.02, -0.02, 0, 0.06, 0.1, 0.16, 0.22, 0.27, 
##     0.32, 0.39, 0.43, 0.48, 0.5, 0.56, 0.56, 0.5, 0.48, 0.48, 
##     0.47, 0.35, 0.11, 0.03, -0.08, -0.06, -0.05, -0.05, -0.03, 
##     -0.02, 0, 0.02, 0.05, 0.16, 0.22, 0.27, 0.5, 0.51, 0.48, 
##     0.43, 0.47, 0.51, 0.27, 0.14, -0.19, -0.35, -0.53, -0.55, 
##     -0.53, -0.55, -1.19, -1.25, -1.28, -1.28, -1.16, -1.14, -1.01, 
##     -0.98, -0.87, -0.9, -0.88, -0.8, -0.72, -0.63, -0.4, -0.39, 
##     -0.34, -0.26, -0.16, -0.02, 0.02, 0.05, 0.05, 0.05, 0.05, 
##     0.03, 0.03, 0.06, 0.13, 0.27, 0.42, 0.47, 0.51, 0.59, 0.63, 
##     0.69, 0.74, 0.75, 0.77, 0.67, 0.51, 0.37, -0.4, -0.69, -0.75, 
##     -0.82, -1.06, -1.32, -1.46, -1.51, -1.54, -1.49, -1.45, -1.38, 
##     -1.03, -0.9, -1.06, -0.5, -0.35, -0.05, 0.03, 0.06, 0.1, 
##     0.11, 0.26, 0.39, 0.5, 0.51, 0.59, 0.71, 0.79, 0.77, 0.74, 
##     0.71, 0.64, 0.55, 0.39, -0.13, -0.37, -0.56, -0.67, -0.75, 
##     -0.96, -1.08, -1.32, -1.4, -1.57, -1.51, -1.33, -1.11, -1.14, 
##     -0.64, -0.67, -0.67, -0.74, -0.77, -0.93, -0.92, -0.87, -0.85, 
##     -0.82, -0.85, -0.93, -1, -1.03, -1.06, -0.9, 0.03, -0.13, 
##     -0.19, -0.35, -0.34, -0.31, -0.39, -0.47, -0.5, -0.35, -0.43, 
##     -0.53, -0.58, -0.59, -0.59, -0.58, -0.98, -1.04, -1.06, -1.12, 
##     -1.19, -1.27, -1.33, -1.4, -1.33, -1.12, -1.08, -1.08, -1.11, 
##     -1.09, -1.01, -0.92, -0.74, -0.27, -0.11, 0.02, 0.16, 0.26, 
##     0.27, 0.34, 0.37, 0.34, 0.14, -0.02, -0.14, -0.27, -0.37, 
##     -0.64, -0.66, -0.67, -0.66, -0.61, -0.56, -0.43, -0.39, -0.34, 
##     -0.26, -0.18, -0.1, -0.05, -0.02, -0.05, -0.06, -0.11, -0.21, 
##     -0.24, -0.29, -0.31, -0.29, -0.35, -0.59, -0.71, -0.71, -0.61, 
##     -0.53, -0.47, -0.51, -0.58, -0.75, -0.95, -1, -1.01, -1.03, 
##     -1.04, -1.14, -1.16, -1.24, -1.24, -1.22, -1.09, -1, -1.04, 
##     -0.96, -0.95, -0.93, -0.9, -0.83, -0.8, -0.8, -0.82, -0.85, 
##     -0.83, -0.82, -0.77, -0.61, -0.56, -0.13, 0, 0.02, 0, -0.02, 
##     -0.05, -0.08, -0.06, -0.08, 0, 0.03, 0.11, 0.19, 0.08, 0.05, 
##     0, -0.06, -0.18, -0.16, -0.16, -0.14, -0.13, -0.18, -0.37, 
##     -0.42, -0.5, -0.63, -0.66, -0.67, -0.85, -0.9, -1.04, -1.08, 
##     -1.09, -1.11, -1.06, -0.95, -0.95, -0.77, -0.77, -0.8, -0.83, 
##     -0.85, -0.82, -0.55, -0.51, -0.51, -0.53, -0.56, -0.55, -0.48, 
##     -0.45, -0.39, -0.19, -0.1, -0.08, -0.1, -0.1, -0.1, -0.06, 
##     -0.05, 0.06, 0.13, -0.03, -0.16, -0.29, -0.26, -0.26, -0.22, 
##     -0.18, -0.18, -0.18, -0.18, -0.21, -0.32, -0.35, -0.39, -0.45, 
##     -0.5, -0.64, -0.63, -0.58, -0.58, -0.8, -0.82, -0.83, -0.93, 
##     -1, -1.04, -1.09, -1.16, -1.17, -0.96, -1.01, -1.03, -0.98, 
##     -0.92, -0.87, -0.83, -0.79, -0.74, -0.63, -0.59, -0.5, -0.47, 
##     -0.35, -0.26, -0.24, -0.21, -0.19, -0.18, -0.08, 0, 0.03, 
##     0.05, 0.02, -0.06, -0.08, -0.1, -0.8, -0.74, -0.96, -1.04, 
##     -1.01, -1.03, -0.75, -0.74, -0.75, -0.82, -1, -0.85, -0.67, 
##     -0.66, -0.58, -0.35, -0.27, -0.26, -0.26, -0.29, -0.31, -0.26, 
##     -0.14, -0.05, 0.13, 0.05, 0, -0.19, -0.19, -0.18, -0.1, -0.1, 
##     -0.11, -0.24, -0.31, -0.42, -0.58, -0.59, -0.61, -0.61, -0.56, 
##     -0.5, -0.48, -0.5, -0.55, -0.56, -0.69, -0.83, -0.87, -0.9, 
##     -0.98, -1.01, -1.19, -1.17, -1.11, -1.06, -1.03, -1.01, -0.95, 
##     -0.92, -0.83, 1.06, 0.98, 0.92, 0.83, 0.8, 0.66, 0.59, 0.45, 
##     0.37, 0.08, 0.02, -0.08, -0.11, -0.11, -0.14, -0.21, -0.42, 
##     -0.56, -0.82, -0.83, -0.83, -0.82, -0.83, -0.79, -0.71, -0.66, 
##     -0.61, -0.56, -0.48, -0.42, -0.39, -0.31, -0.27, -0.21, -0.14, 
##     -0.08, -0.05, 0, 0.08, 0.13, 0.21, 0.32, 0.43, 0.55, 0.63, 
##     0.8, 0.83, 0.87, 0.87, 0.85, 0.53, 0.51, 0.59, 0.61, 0.56, 
##     0.42, 0.27, 0.16, -0.16, -0.19, -0.19, -0.18, -0.19, -0.19, 
##     -0.21, -0.22, -0.31, -0.63, -0.79, -0.79, -0.82, -0.79, -0.74, 
##     -0.72, -0.69, -0.64, -0.64, -0.61, -0.55, -0.48, -0.45, -0.32, 
##     -0.22, -0.14, -0.02, 0.05, 0, 0.02, 0.02, 0, -0.02, 0.02, 
##     0.03, 0.14, 0.19, 0.29, 0.4, 0.48, 0.58, 0.8, 0.79, 0.77, 
##     0.66, 0.64, 0.64, -0.59, -0.45, -0.26, -0.24, -0.27, -0.21, 
##     -0.14, 0.03, 0.08, 0.13, 0.11, 0.11, 0, -0.05, -0.1, -0.05, 
##     0.08, 0.14, 0.22, 0.39, 0.42, 0.51, 0.55, 0.56, 0.59, 0.66, 
##     0.8, 0.83, 0.83, 0.92, 0.95, 1, 1.09, 1.2, 1.04, 0.87, 0.82, 
##     0.75, 0.69, 0.59, 0.51, 0.45, 0.37, 0.27, 0, -0.11, -0.45, 
##     -0.98, -1.11, -1.22, -1.33, -1.33, -1.32, -1.25, -1.16, -1.11, 
##     -1.11, -1.12, -1.28, -1.28, -1.32, -1.3, -1.01, -0.48, 0.18, 
##     0.13, 0.1, 0.08, 0.08, 0.06, 0.03, 0.05, 0.08, 0.21, 0.31, 
##     0.42, 0.53, 0.64, 0.9, 0.98, 1.16, 1.19, 1.22, 1.25, 1.33, 
##     1.38, 1.4, 1.4, 0.79, 0.64, 0.53, 0.51, 0.48, 0.47, 0.42, 
##     0.31, 0.18, 0.02, -0.16, -0.45, -1, -1.08, -1.16, -1.2, -1.16, 
##     -1.14, -1.11, -1.12, -1.08, -1.04, -1.04, -1.08, -1.09, -0.83, 
##     -0.67, -0.53, 0, 0.13, 0.1, 0.08, 0.06, 0.06, 0.1, 0.14, 
##     0.24, 0.37, 0.98, 1.22, 1.27, 1.25, 1.2, 1.22, 1.27, 1.38, 
##     1.4, 1.38, 1.3, 1, 0.77, 0.67, 0.53, 0.5, 0.47, 0.5, 0.16, 
##     -0.55, -0.69, -0.8, -1.09, -1.35, -1.46, -1.53, -1.59, -1.49, 
##     -1.4, -1.33, -1.22, -1.16, -1.09, -0.9, -0.85, -0.79, -0.71, 
##     -0.55, -0.51, -0.56, -0.64, -0.67, -0.56, -0.27, -0.11, -0.02, 
##     -0.05, -0.14, -0.14, 0.13, 0.92, 1.01, 1.32, 1.36, 1.4, 1.43, 
##     1.56, 1.56, 1.56, 1.49, 1.32, 0.71, 0.67, 0.66, 0.71, 0.82, 
##     0.53, 0.24, -0.4, -0.71, -0.71, -0.83, -1.3, -1.59, -1.7, 
##     -1.69, -1.64, -1.38, -1.14, -1.14, -1.12, -1.16, -1.08, -1, 
##     -0.71, -0.39, 0, 0.14, 0.16, 0.14, 0.13, 0.1, 0.11, 0.1, 
##     0.08, 0.11, 0.16, 0.34, 0.9, 0.98, 1.09, 1.14, 1.14, 1.12, 
##     1.09, 1.09, 1.06, 1.06, 1, 0.93, 0.72, 0.63, 0.59, 0.58, 
##     0.61, 0.5, 0, -0.53, -0.69, -0.71, -0.72, -0.72, -1.24, -1.43, 
##     -1.69, -1.77, -1.75, -1.72, -1.67, -1.57, -1.48, -1.43, -1.3, 
##     -1.19, -1.11, -0.95, -0.58, -0.5, -0.34, -0.29, -0.22, 0.03, 
##     0.05, 0.02, -0.1, -0.13, -0.13, -0.11, -0.08, -0.05, 0.03, 
##     0.1, 0.32, 0.74, 0.82, 0.88, 1, 1.33, 1.45, 1.56, 1.78, 1.81, 
##     1.77, 1.73, 1.7, 1.59, 1.45, 1.33, 1.2, 1.06, 0.67, 0.51, 
##     0.32, 0.05, -0.21, -0.43, -0.56, -0.63, -0.83, -0.98, -1.16, 
##     -1.51, -1.64, -1.72, -1.69, -1.61, -1.54, -1.49, -1.41, -1.35, 
##     -1.04, -0.92, -0.77, -0.71, -0.69, -0.48, -0.02, 0.05, 0, 
##     -0.08, -0.06, -0.08, -0.02, 0.53, 0.18, -0.03, -0.61, -0.71, 
##     -0.93, -1.2, -1.32, -1.41, -1.69, -1.65, -1.57, -1.54, -1.53, 
##     -1.4, -1.33, -1.32, -1.28, -1.24, -1.22, 1.17, 1.04, 0.85, 
##     0.85, 0.75, 0.64, 0.53, 0.43, -0.18, -0.22, -0.82, -1.14, 
##     -1.14, -1.14, -1.22, -1.06, -0.93, -0.83, -0.8, -0.75, -0.48, 
##     -0.35, -0.42, -0.22, -0.16, -0.05, 0.1, 0.29, 0.39, 0.42, 
##     0.48, 0.53, 0.58, 0.69, 0.72, 0.8, 0.87, 0.93, 0.66, 0.69, 
##     0.71, 0.67, 0.66, 0.63, 0.58, 0.53, 0.51, 0.39, 0.34, 0.26, 
##     0.18, 0.08, -0.14, -0.34, -0.45, -0.64, -0.8, -0.95, -0.93, 
##     -0.96, -1.24, -1.25, -1.32, -1.28, -1.12, -1.06, -0.93, -0.82, 
##     -0.69, -0.59, -0.56, -0.55, -0.45, -0.27, -0.13, 0.11, 0.16, 
##     0.26, 0.32, 0.4, 0.48, 0.51, 0.8, 0.88, 0.92, 0.92, 0.9, 
##     0.9, 0.92, 0.83, 0.8, 0.79, 0.82, 0.8, 0.72, 0.42, 0.39, 
##     0.27, 0.18, -0.22, -0.34, -0.45, -0.5, -0.55, -0.71, -0.8, 
##     -1.2, -1.19, -1.32, -1.33, -1.25, -1.12, -1.03, -1, -1.04, 
##     -1.01, -0.92, -0.83, -0.47, -0.24, -0.21, -0.14, 0.18, 0.47, 
##     0.71, 0.77, 0.85, 0.93, 0.98, 1.2, 1.25, 1.04, 0.9, 0.74, 
##     0.74, 0.66, 0.55, 0.35, 0.13, -0.14, -0.27, -0.51, -0.71, 
##     -0.79, -0.83, -1.04, -1.14, -1.3, -1.41, -1.36, -1.27, -1.32, 
##     -1.17, -0.8, -0.61, -0.29, 0.14, 0.22, 0.32, 0.4, 0.45, 0.61, 
##     0.95, 1.01, 1.04, 1.01, 0.98, 0.96, 0.95, 0.98, 1.01, 0.8, 
##     0.72, 0.47, 0.35, 0.31, 0.26, -0.16, -0.39, -0.42, -0.67, 
##     -0.96, -1.32, -1.19, -1.2, -1.19, -0.92, -0.8, -0.5, -0.26, 
##     -0.08, -0.05, -0.03, 0.05, 0.1, 0.1, 0.05, -0.11, -0.11, 
##     -0.13, -0.13, -0.13, -0.11, -0.1, -0.08, -0.05, -0.03, 0.02, 
##     0.03, 0.03, 0.03, 0.05, 0.05, 0.05, 0.02, -0.03, -0.02, 0.02, 
##     0.1, 0.18, 0.27, 0.32, 0.42, 0.51, 0.55, 0.67, 0.77, 0.92, 
##     0.96, 0.96, 0.93, -1.08, -1.11, -1.16, -1.19, -1.2, -1.2, 
##     -1.19, -1.04, -0.98, -0.87, -0.67, -0.53, -0.42, -0.35, 0, 
##     0.18, 0.26, 0.63, 0.71, 0.74, 0.79, 0.8, 0.8, 0.77, 0.71, 
##     0.67, 0.72, 0.69, 0.47, 0.05, -0.18, -0.39, -0.4, -0.45, 
##     -0.48, -0.5, -0.79, -0.9, -1, -1.04, -1, -1.01, -1.12, -1.14, 
##     -1.04, -0.53, -0.43, -0.42, -0.4, -0.39, -0.26, 0.19, 0.26, 
##     0.31, 0.34, 1.53, 1.56, 1.59, 1.45, 1.04, 0.67, -0.83, -1, 
##     -1.08, -1.46, -1.65, -1.7, -1.73, -1.85, -1.93, -1.94, -2.06, 
##     -1.98, -1.53, -1.25, -1.32, -1.06, -0.75, -0.02, 0.16, 0.42, 
##     0.5, 0.13, 0.05, -0.06, -0.24, -0.24, -0.22, -0.21, -0.21, 
##     -0.08, -0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.05, -0.08, -0.08, 
##     -0.06, -0.08, -0.02, -0.02, -0.02, -0.02, -0.03, -0.05, -0.05, 
##     -0.06, -0.05, -0.03, -0.03, -0.06, -0.06, -0.05, -0.06, -0.06, 
##     -0.05, -0.02, -0.03, -0.02, 0, 0, 0, -0.02, -0.05, -0.03, 
##     -0.05, -0.05, -0.03, -0.02, -0.02, -0.05, -0.03, -0.02, 0, 
##     0, -0.02, -0.03, 0, 0.11, 0.16, 0.42, 0.43, 0.56, 0.61, 0.71, 
##     0.74, 0.77, 0.88, 0.85, 0.83, -0.06, -0.06, -0.05, -0.05, 
##     -0.05, -0.05, -0.03, -0.05, -0.05, -0.05, -0.06, -0.14, -0.16, 
##     -0.03, -0.02, -0.08, -0.1, -0.08, -0.06, -0.03, -0.02, 0.02, 
##     0.08, 0.13, 0.1, 0.06, -0.05, 0.34, 0.4, 0.51, 0.58, 0.71, 
##     0.74, 0.85, 0.98, 0.8, 0.64, 0.18, -0.24, -0.35, -0.39, -0.4, 
##     -0.47, -0.58, -0.71, -0.88, -0.88, -0.92, -0.96, -1.06, -1.08, 
##     -1.09, -0.96, -0.69, -0.59, -0.55, -0.21, -0.06, -0.02, 0.05, 
##     0.1, 0.19, 0.22, 0.35, 0.45, 0.51, 0.58, 0.77, 0.93, 0.95, 
##     0.95, 0.92, 0.79, 0.85, 0.79, 0.51, 0.13, -0.03, -0.31, -0.45, 
##     -0.8, -1.03, -1.08, -1.09, -1.03, -1, -1.11, -1.14, -1.08, 
##     -1.06, -1.11, -0.61, -0.27, -0.19, -0.21, -0.24, -0.06, 0.18, 
##     0.43, 0.51, 0.61, 0.75, 0.88, 0.98, 1.01, 1.01, 1, 0.96, 
##     0.93, 0.83, 0.82, 0.66, 0.14, -0.29, -0.4, -0.4, -0.4, -0.55, 
##     -0.71, -0.79, -1, -1.06, -1.14, -1.11, -0.82, -0.83, -0.61, 
##     -0.34, -0.27, -0.26, -0.14, 0.31, 0.34, 0.45, 0.5, 0.53, 
##     0.88, 0.92, 0.98, 1.03, 0.83, 0.72, 0.53, 0.32, 0.08, -0.16, 
##     -0.32, -0.43, -0.48, -0.56, -0.61, -0.8, -0.87, -0.71, -0.74, 
##     -0.72, -0.8, -0.67, -0.39, -0.42, -0.4, -0.26, -0.19, -0.1, 
##     -0.06, -0.02, 0, 0.05, 0.06, 0.08, 0.21, 0.67, 0.77, 0.83, 
##     0.9, 1.01, 1.04, 0.8, -0.05, -0.08, 0.14, 0.19, 0.21, 0.34, 
##     0.4, 0.48, 0.55, 0.64, 0.88, 0.98, 1.06, 1.14, 1.19, 1.14, 
##     1.03, 0.88, 0.75, 0.66, 0.42, 0.22, -0.14, -0.32, -0.35, 
##     -0.61, -0.71, -0.98, -1, -1, -1.04, -1.09, -1.03, -1.03, 
##     -0.74, -0.61, -0.45, -0.39, -0.32, 0.06, 0.34, 0.67, 0.83, 
##     1.2, 1.3, 1.06, 1.03, 0.93, 0.98, 0.96, 0.71, 0.48, -0.56, 
##     -0.63, -0.66, -0.71, -0.9, -1.08, -1.17, -1.24, -1.28, -1.35, 
##     -1.41, -1.41, -1.54, -1.38, -1.35, -1.11, -0.63, -0.14, -0.02, 
##     0.19, 0.32, 0.45, 0.58, 0.72, 0.96, 1.12, 1.2, 1.24, 1.24, 
##     1.25, 1.24, 0.95, 0.85, 0.53, 0.37, 0.21, 0.05, -0.21, -0.51, 
##     -0.59, -0.71, -0.95, -0.96, -0.98, -0.95, -0.88, -0.98, -1.03, 
##     -0.96, -0.88, -0.8, -0.77, -0.59, -0.43, -0.08, 0.02, 0.11, 
##     0.19, 0.39, 0.63, 0.8, 0.95, 1.03, 1.06, 1.08, 1.09, 1.19, 
##     1.24, 1.32, 0.83, 0.77, 0.67, 0.55, 0.37, 0.13, -0.08, -0.26, 
##     -0.34, -0.48, -0.58, 1.08, 1, 0.9, 0.8, 0.18, -0.29, -0.39, 
##     -0.53, -0.59, -0.93, -0.82, -0.88, -1.01, -0.13, -0.08, -0.06, 
##     -0.03, 0.1, 0.14, 0.14, 0.03, -0.42, -0.47, -0.61, -0.63, 
##     -0.66, -0.64, -0.59, -0.43, -0.45, -0.43, -0.4, -0.35, -0.34, 
##     -0.32, -0.31, -0.22, -0.16, -0.11, -0.11, 0.14, -0.96, -1.04, 
##     -1.04, -0.77, -0.74, -0.71, -0.56, -0.51, -0.47, -0.45, -0.45, 
##     -0.47, -0.51, -0.56, -0.47, -0.37, -0.14, 0, 0.22, 0.27, 
##     0.31, -0.55, -0.53, -0.43, -0.45, -0.48, -0.5, -0.53, -0.51, 
##     -0.51, -0.5, -0.53, -0.59, -0.66, -0.74, -0.79, -0.8, -0.8, 
##     -0.95, -0.98, -1, -0.98, -1.06, -1.09, -1.09, -1.12, -1.11, 
##     -1.16, -1.25, -1.27, -1.16, -1.04, -0.93, -0.79, -0.74, -0.72, 
##     -0.77, -0.79, -0.8, -0.8, -0.72, -0.67, -0.61, -0.5, -0.47, 
##     -0.13, -0.16, -0.24, -0.27, -0.29, -0.27, -0.22, -0.16, -0.34, 
##     -0.75, -0.74, -0.69, -0.66, -0.61, -0.61, -0.63, -0.61, -0.59, 
##     -0.56, -0.55, -0.35, -0.26, -0.21, -0.16, 0.11, 0.14, 0.14, 
##     0.13, 0.16, 0.16, 0.14, 0.13, 0.08, 0.03, -0.02, -0.06, -0.06, 
##     -0.16, -0.21, -0.27, -0.61, -0.79, -0.87, -0.47, -0.47, -0.4, 
##     -0.39, -0.34, -0.31, -0.29, -0.27, -0.24, -0.21, -0.16, -0.1, 
##     -0.11, -0.14, -0.14, -0.1, 0.08, 0.14, 0.18, 0.11, -0.05, 
##     -0.13, -0.19, -0.26, -0.32, -0.37, -0.39, -0.45, -0.5, -0.55, 
##     -0.56, -0.66, -0.67, -0.69, -0.77, -0.77, -0.79, -0.8, -0.93, 
##     -0.92, -0.88, -1, -0.87, -0.79, -0.74, -0.82, -0.8, -0.77, 
##     -0.35, -0.32, -0.35, -0.4, -0.55, -0.56, -0.58, -0.51, -0.5, 
##     -0.5, -0.53, -0.63, -0.69, -0.8, -0.8, -0.92, -0.95, -0.95, 
##     -0.96, -1, -1, -1.04, -1.06, -1.04, -0.98, -0.72, -0.75, 
##     -0.79, -0.79, -0.74, -0.69, -0.58, -0.45, -0.42, -0.5, -0.5, 
##     -0.48, -0.4, -0.4, -0.37, -0.34, -0.42, 0, -0.08, -0.13, 
##     -0.16, -0.14, -0.11, 0, 0.03, 0.03, -0.02, -0.21, -0.26, 
##     -0.29, -0.31, -0.32, -0.35, -0.42, -0.45, -0.5, -0.51, -0.55, 
##     -0.58, -0.61, -0.63, -0.64, -0.66, -0.72, -0.75, -0.79, -0.82, 
##     -0.83, -0.87, -0.95, -1.03, -1.03, -1, -0.82, -0.75, -0.71, 
##     -0.53, -0.48, -0.51, -0.56, -0.58, -0.51, -0.48, -0.48, -0.53, 
##     -0.56, -0.59, -0.56, -0.4, -0.32, -0.14, 0, 0.14, 0.13, 0.02, 
##     -0.08, -0.11, 0.03, 0.03, 0, -0.03, -0.11, -0.29, -0.35, 
##     -0.53, -0.55, -0.51, -0.55, -0.56, -0.63, -0.67, -0.72, -0.77, 
##     -0.83, -0.85, -0.85, -0.83, -0.85, -0.95, -0.96, -0.83, -0.75, 
##     -0.69, -0.56, -0.48, -0.45, -0.47, -0.47, -0.47, -0.48, -0.48, 
##     -0.48, -0.48, -0.45, -0.35, -0.34, -0.31, -0.27, -0.21, -0.14, 
##     -0.06, 0, 0.05, 0.02, -1.11, -1.08, -0.92, -0.9, -0.9, -1, 
##     -1.01, -0.69, -0.63, -0.56, -0.58, -0.39, -0.39, -0.4, -0.48, 
##     -0.56, -0.03, -0.1, -0.11, -0.16, -0.16, -0.13, -0.13, -0.16, 
##     -0.21, -0.26, -0.31, -0.48, -0.55, -0.59, -0.63, -0.66, -0.67, 
##     -0.71, -0.82, -0.93, -0.98, -1.03, -1.06, -1.08, -1.11, -1.11, 
##     -0.61, -0.59, -0.58, -0.51, -0.47, -0.47, -0.47, -0.47, -0.47, 
##     -0.4, -0.24, -0.16, -0.13, -0.16, -0.05, 0.08, 0.11, -0.14, 
##     -0.19, -0.27, -0.92, -0.98, -1.2, -1.28, -1.3, -1.35, -1.28, 
##     -1.22, -1.03, -1.04, -0.93, -0.85, -0.75, -0.69, -0.63, -0.58, 
##     -0.56, -0.58, -0.56, -0.48, -0.48, -0.48, -0.5, -0.5, -0.53, 
##     -0.53, -0.53, -0.47, -0.45, -0.45, -0.43, -0.42, -0.4, -0.39, 
##     -0.39, -0.42, -0.43, -0.47, -0.5, -0.56, -0.58, -0.61, -0.66, 
##     -0.64, -0.64, -0.66, -0.64, -0.63, -0.56, -0.55, -0.53, -0.39, 
##     -0.37, -0.37, -0.42, -0.43, -0.5, -0.51, -0.34, -0.27, -0.14, 
##     -0.1, -0.02, 0.06, 0.1, 0.24, 0.19, 0.11, 0.02, 0.32, 0.34, 
##     0.32, 0.06, -0.14, -0.24, -0.29, -0.34, -0.35, -0.34, -0.34, 
##     -0.39, -0.48, -0.45, -0.4, -0.42, -0.5, -0.47, -0.56, -0.59, 
##     -0.61, -0.64, -0.72, -0.75, -0.79, -0.83, -0.92, -0.98, -0.98, 
##     -1.04, -1.08, -1.14, -1.04, -1, -1.01, -1.08, -1.09, -1.08, 
##     -1.08, -1.04, -0.93, 0.06, -0.16, -0.14, -0.13, -0.24, -0.34, 
##     -0.43, -0.4, -0.37, -0.35, -0.32, -0.42, -0.43, -0.45, -0.47, 
##     -0.53, -0.53, -0.53, -0.21, -0.29, -0.47, -0.64, -0.77, -0.66, 
##     -0.66, -1.17, -1.25, -1.28, -1.27, -1.2, -1.17, -1.08, -0.88, 
##     -0.83, -0.77, -0.71, -0.77, -0.82, -0.9, -1, -1, -0.85, -0.8, 
##     -0.66, -0.59, -0.34, -0.39, -0.39, -0.39, -0.4, -0.43, -0.47, 
##     -0.59, -0.63, -0.63, -0.64, -0.66, -0.66, -0.67, -0.75, -0.83, 
##     -0.87, -0.88, -0.88, -0.9, -0.9, -0.9, -0.93, -0.98, -0.9, 
##     -0.82, -0.79, -0.92, -0.9, -0.83, -0.74, -0.74, -0.92, -0.87, 
##     -0.85, -0.82, -0.8, -0.24, -0.24, -0.26, -0.29, -0.27, -0.24, 
##     -0.08, 0, 0.08, 0.18, 0.24, 0.27, -0.02, -0.06, -0.06, -0.03, 
##     0.02, 0.02, 0.03, 0.02, 0, -0.08, -0.18, -0.21, -0.24, -0.24, 
##     -0.22, -0.34, -0.39, -0.43, -0.5, -0.51, -0.51, -0.56, -0.59, 
##     -0.67, -0.77, -0.82, -0.93, -1, -1.19, -1.2, -1.16, -1.11, 
##     -1.09, -1.08, -1.06, -1.06, -1.08, -1.11, -1.08, -1.08, -1.11, 
##     -1.19, -1.2, -1.14, -1.06, 0.34, 0.34, 0.34, 0.32, 0.31, 
##     0.26, 0.1, 0.06, -0.18, -0.22, -0.31, -0.27, -0.24, -0.21, 
##     -0.19, -0.21, -0.31, -0.39, -0.47, -0.51, -0.58, -0.75, -0.79, 
##     -0.75, -0.75, -0.8, -0.83, -0.87, -0.9, -0.98, -1.01, -1.01, 
##     -1.03, -0.14, -0.03, 0.14, 0.16, 0.24, 0.31, 0.26, 0.14, 
##     0.1, 0.05, 0.03, 0.05, 0.1, 0.1, 0.06, 0.03, -0.02, -0.06, 
##     -0.18, -0.22, -0.24, -0.29, -0.32, -0.32, -0.32, -0.31, -0.35, 
##     -0.4, -0.43, -0.5, -0.14, -0.1, -0.13, -0.16, -0.16, -0.16, 
##     -0.16, -0.13, -0.13, -0.21, -0.72, -0.74, -0.72, -0.69, -0.9, 
##     -0.93, -0.96, -0.96, 0.05, 0.03, -0.03, -0.11, -0.18, -0.24, 
##     -0.27, -0.29, -0.27, -0.21, -0.08, 0.02, 0.02, 0, -0.51, 
##     -0.72, -0.79, -0.8, -0.8, -0.8, -0.8, -0.85, -0.95, -0.98, 
##     -1, -1.06, -1.06, -1.06, -1.08, -1.09, -1.04, -1.04, -0.93, 
##     -0.87, -0.74, -0.64, -0.53, -0.53, -0.48, -0.43, -0.24, -0.13, 
##     0.03, -0.11, -0.02, 0.02, 0.1, -0.8, -0.61, -0.61, -0.66, 
##     -0.74, -0.79, -0.75, -0.74, -0.64, -0.47, -0.42, -0.31, -0.26, 
##     -0.21, -0.21, -0.22, -0.19, -0.11, -0.08, 0, -0.03, -0.08, 
##     -0.14, -0.19, -0.08, -0.03, 0.05, 0.03, -1.03, -1, -0.98, 
##     -0.95, -0.93, -0.93, -0.92, -0.92, -1.03, -1.03, -1.06, -1.04, 
##     -0.95, -0.58, -0.45, -0.4, -0.32, -0.24, -0.21, -0.96, -0.74, 
##     -0.69, -0.64, -0.63, -0.53, -0.47, -0.43, -0.29, -0.14, -0.1, 
##     -0.03, 0.03, 0.1, 0.1, 0.08, 0.1, 0.08, 0.21, 0.24, 0.27, 
##     0.31, -0.53, -0.47, -0.42, -0.37, -0.27, -0.18, -0.14, -0.05, 
##     0.02, 0.02, 0.03, 0.08, 0.11, 0.13, 0.18, 0.22, 0.21, 0.19, 
##     0.1, 0.05, 0, -0.03, -0.74, -0.98, -1.06, -1.19, -1.22, -1.11, 
##     -1.03, -1.06, -1.12, -1.03, -0.85, -0.34, -0.19, 0.03, 0.13, 
##     0.53, 0.66, 0.79, 0.88, 1.04, 1.11, 1.22, 1.3, 1.22, 1.2, 
##     0.74, 0.51, 0.03, -0.14, -0.42, -0.43, -0.48, -0.74, -0.87, 
##     -1.03, -1.12, -1.16, -1.19, -1.24, -1.17, -1.17, -0.93, -0.88, 
##     -0.11, -0.05, -0.02, -0.02, 0.02, 0, 0, -0.03, -0.06, -0.05, 
##     0, -0.02, -0.03, -0.05, -0.05, -0.06, -0.06, -0.03, -0.03, 
##     -0.03, -0.03, -0.02, 0.79, 0.67, 0.58, 0.55, 0.48, 0.29, 
##     0.13, 0.02, 0.08, -0.03, -0.34, -0.31, -0.27, -0.19, -0.05, 
##     0.03, 0.03, 0, 0.02, 0.02, 0.02, 0, -0.02, -0.03, -0.03, 
##     -0.06, -0.06, -0.05, 0.93, 1, 1.01, 1, 1.33, 1.14, 0.8, 0.63, 
##     0.29, 0.31, 0.31, 0.26, 0.16, -0.11, -0.71, -0.82, -1.08, 
##     -1.25, -1.35, -1.38, -1.38, -1.38, -1.12, -1.01, -0.87, -0.8, 
##     -0.77, -0.75, -0.53, -0.51, -0.47, -0.37, -0.13, -0.05, -0.05, 
##     -0.05, -0.14, -0.1, -0.02, 0.08, 0.29, 0.42, 0.55, 0.8, 0.87, 
##     0.71, 0.74, 0.77, 0.8, 0.8, 0.74, 0.67, 0.48, 0.37, 0.03, 
##     -0.03, -0.1, -0.21, -0.22, -0.24, -0.26, -0.27, -0.29, -0.34, 
##     -0.45, -0.56, -0.59, -0.66, -0.69, -0.67, -0.71, -0.71, -0.75, 
##     -0.8, -0.87, -0.9, -0.69, -0.53, -0.58, -0.66, -0.56, -0.39, 
##     -0.27, -0.18, -0.06, 0.02, 0.11, 0.19, 0.21, 0.18, 0.1, 0.1, 
##     0.1, 0.13, 0.39, 0.8, 0.83, 0.85, 0.82, 0.8, 0.72, 0.71, 
##     0.5, 0.47, 0.37, 0.31, 0.11, -0.06, -0.13, -0.18, -0.21, 
##     -0.21, -0.21, -0.13, -0.24, -0.32, -0.37, -0.43, -0.58, -0.58, 
##     -0.63, -0.61, -0.67, -0.66, -0.66, -0.63, -0.59, -0.56, -0.19, 
##     -0.29, -0.37, -0.42, -0.45, -0.51, -0.64, -0.79, -1.17, -1.27, 
##     -1.4, -1.36, -1.32, -1.17, -1.14, -1.11, -0.82, -0.58, -0.51, 
##     -0.48, -0.47, -0.43, -0.27, -0.08, -0.1, -0.1, -1.03, -0.98, 
##     -0.88, -0.92, -0.83, -0.34, -0.32, -0.31, 0.05, 0.06, 0.11, 
##     0.18, 0.18, 0.19, 0.34, 0.45, 0.48, 0.53, 0.53, 0.55, 0.55, 
##     0.58, 0.9, -1.33, -1.33, -1.16, -1.09, -1.03, -0.95, -0.61, 
##     -0.37, -0.31, -0.35, -0.18, -0.13, -0.11, -0.11, 0.14, 0.27, 
##     0.31, 0.39, 0.43, 0.47, 0.53, 0.51, 0.48, 0.43, 0.35, -0.16, 
##     -0.32, -0.43, -0.56, -0.64, -0.71, -0.85, -1.25, -1.51, -1.59, 
##     -1.64, -1.7, -1.16, -0.9, -0.93, -0.93, -0.92, -0.95, -1, 
##     -1, -1.03, -1.09, -1.14, -1.17, -1.2, -1.17, -1.09, -1.11, 
##     -1.01, -0.85, -0.69, -0.42, -0.03, 0.18, 0.56, 0.61, 0.66, 
##     0.66, 0.69, 0.67, 0.63, 0.66, 0.66, 0.92, 0.85, 0.85, 0.87, 
##     0.88, 0.9, 0.92, 0.96, 1, 0.9, 0.64, 0.34, 0.22, 0.13, -0.16, 
##     -0.39, -0.85, -0.95, -0.96, -0.95, -1.04, -1.08, -1.11, -1.09, 
##     -0.69, -0.72, -0.77, -0.83, -0.83, -0.72, -0.67, -0.93, -1.03, 
##     -1, -0.95, -0.74, -0.63, -0.67, -0.72, -0.9, -0.9, -0.88, 
##     -0.85, -0.85, -0.96, -1.11, -1.16, -1.17, -1.17, -1, -0.98, 
##     -0.93, -0.82, -0.75, -0.51, -0.31, -0.1, 0, 0.18, 0.21, 0.1, 
##     0.05, -0.1, -0.11, -0.11, -1.65, -1.77, -1.85, -1.14, -1.22, 
##     -1.27, -1.3, -1.38, -1.65, -2.31, -2.49, -2.44, -2.38, -2.04, 
##     -1.96, -1.89, -1.81, -1.75, -1.72, -1.62, -1.49, -1.43, -1.24, 
##     -1.17, -1.01, -0.93, -0.39, -0.35, -0.39, -0.35, -0.27, -0.18, 
##     -0.13, 0.32, 0.45, 0.47, 0.47, 0.43, 0.4, 0.4, 0.4, 0.4, 
##     0.42, 0.43, 0.4, 0.31, 0.29, 0.22, 0.21, 0.19, 0.08, 0, -0.14, 
##     -0.31, -0.66, -1.03, -1.14, -1.22, -1.25, -1.3, -1.45, -1.49, 
##     -1.59, -1.8, -1.86, -2.02, -2.02, -2.01, -1.8, -1.64, -1.56, 
##     -1.33, -1.33, -1.27, -1.17, -1.09, -0.9, -0.79, -0.61, -0.51, 
##     -0.42, -0.4, -0.45, -0.4, -0.37, -0.31, -0.19, -0.18, -0.02, 
##     0.08, 0.21, 0.32, 0.56, 0.56, 0.59, 0.61, 0.69, 0.82, 1.16, 
##     1.14, 1.08, 1.08, 1.04, 1, 0.96, 0.77, 0.58, 0.31, 0.16, 
##     0, -0.42, -0.85, -1.08, -1.27, -1.72, -1.93, -2.04, -2.17, 
##     -2.41, -2.63, -2.76, -2.84, -2.91, -2.84, -2.79, -2.7, -2.54, 
##     -2.18, -1.98, -1.45, -1.36, -1.14, -1.14, -1.14, -1.08, -0.93, 
##     -0.9, -0.85, -0.8, -0.8, -0.8, -0.79, 0.61, 0.55, 0.56, 0.61, 
##     0.55, 0.51, 0.39, 0.32, 0.22, 0.02, -0.11, -0.27, -0.1, 0.51, 
##     0.59, 0.69, 0.82, 0.93, 1.03, 1.11, 1.08, 0.8, 0.35, 0.4, 
##     0.74, 0.79, 0.83, 0.8, 0.45, -0.19, -0.34, -0.35, -0.31, 
##     -0.27, -0.27, -0.32, -0.39, -0.47, -0.56, -0.66, -0.75, -1.01, 
##     -1.17, -1.27, -1.32, -1.43, -1.43, -1.36, -1.28, -1.22, -0.95, 
##     -0.9, -0.64, -0.58, -0.37, 0.14, 0.58, 0.66, 0.74, 0.88, 
##     0.96, 1.01, 1.03, 1.08, 1.14, 1.16, 1.16, 1.12, 1.04, 0.92, 
##     0.95, 1.03, 1.06, 1.04, 0.31, 0.1, -0.08, -0.24, -0.34, -0.31, 
##     -0.34, -0.39, -0.5, -0.61, -0.67, -0.79, -0.92, -0.98, -1.04, 
##     -1.11, -1.12, -1.16, -1.2, -1.2, -1.16, -1.2, -1.2, -1.17, 
##     -0.98, -0.88, -0.8, -0.64, -0.51, 0, 0.29, 0.43, 0.61, 0.8, 
##     0.92, 0.96, 1, 1, 0.98, 0.9, 0.88, 0.85, 0.8, 0.8, 0.8, 0.85, 
##     0.92, 1.03, 0.88, 0.59, 0.24, -0.08, -0.34, -0.5, -0.56, 
##     -0.53, -0.53, -0.56, -0.61, -0.69, -0.96, -1.08, -1.19, -1.27, 
##     -1.25, -1.25, -1.27, -1.33, -1.43, -1.36, -1.28, -1.25, -0.92, 
##     -0.79, -0.34, 0.19, 0.5, 0.61, 0.67, 0.74, 0.77, 0.85, 0.96, 
##     1.11, 1.12, 1.2, 1.04, 0.98, 0.95, 0.92, 0.87, 0.87, 0.87, 
##     0.87, 0.82, 0.79, 0.56, 0.37, 0.14, -0.27, -0.42, -0.45, 
##     -0.27, -0.21, -0.26, -0.42, -0.67, -0.74, -0.1, -0.1, -0.06, 
##     -0.05, -0.03, -0.03, -0.02, 0, 0.02, 0.02, 0.03, 0.08, 0.06, 
##     0.06, 0.08, 0.08, 0.1, 0.11, 0.1, 0.08, 0.14, 0.26, 0.35, 
##     0.45, 0.67, 0.75, 0.83, 0.9, 1.75, 1.53, 1.41, 1.2, 1.17, 
##     1.3, 1.41, 1.41, 1.36, 1.32, 1.12, 1, 0.83, 0.43, 0.22, -0.06, 
##     -0.06, -0.08, -0.14, -0.19, -0.22, -0.26, -0.32, -0.43, -0.53, 
##     -1.04, -1.46, -1.73, -1.98, -2.04, -2.15, -2.14, -2.15, -2.18, 
##     -2.28, -2.46, -2.42, -2.41, -1.98, -1.77, -1.62, -0.71, -0.34, 
##     -0.24, -0.14, 0, 0.58, 0.71, 0.8, 0.88, 1.06, 1.25, 1.54, 
##     1.78, 1.78, 1.75, 1.69, 1.57, 1.53, 1.48, 1.45, -1.83, -1.77, 
##     -1.72, -1.69, -1.59, -1.54, -1.51, -1.51, -1.4, -1.28, -1.19, 
##     -1.04, -0.22, 0.24, 0.27, 0.34, 0.39, 0.43, 0.53, 0.63, 0.74, 
##     0.85, 0.98, 1.24, 1.25, 1.46, 1.57, 1.69, 1.72, 1.73, 1.67, 
##     1.57, 1.54, 1.54, 1.53, 1.54, 1.54, 1.56, 1.45, 1.14, 0.4, 
##     -0.18, -0.37, -0.47, -0.55, -0.56, -0.66, -0.85, -0.92, -1.01, 
##     -1.12, -1.59, -1.83, -1.73, -1.69, -1.7, -1.83, -1.8, -1.65, 
##     -1.48, -1.28, -0.4, -0.24, -0.14, 0.26, 0.56, 0.66, 0.87, 
##     0.98, 1.41, 1.57, 1.75, 1.65, 1.54, 1.49, 1.49, 1.49, 1.4, 
##     1.25, 1.14, -0.16, -0.32, -0.31, -0.29, -0.35, -0.43, -0.9, 
##     -1.06, -1.22, -1.59, -2.02, -2.31, -2.38, -2.39, -2.36, -2.36, 
##     -2.25, -2.02, -1.88, -1.73, -1.01, -0.55, -0.4, -0.31, -0.19, 
##     0.16, 0.26, 0.34, 0.58, 0.71, 0.82, 1.35, 1.67, 1.77, 1.83, 
##     1.83, 1.78, 1.7, 1.65, 1.57, 1.53, 1.53, 1.53, 1.53, 1.51, 
##     1.46, 1.38, 1.32, 1.22, 1.01, 0.71, 0.51, 0.27, -0.5, -0.72, 
##     -1.16, -1.38, -1.48, -1.57, -1.69, -1.72, -1.75, -1.78, -1.88, 
##     -1.96, -2.01, -1.93, -1.88, -1.89, -1.75, -1.51, -1.03, -0.92, 
##     -0.8, -0.63, -0.5, -0.35, -0.19, 0.1, 0.43, 0.5, 0.58, 0.66, 
##     1.01, 1.14, 1.28, 1.4, 1.49, 1.61, 1.64, 1.69, 1.75, 1.73, 
##     1.75, 1.43, 1.35, 1.27, 1.12, 1.06, 0.98, 0.92, 0.53, 0.06, 
##     -0.16, -0.53, -0.67, -0.77, -0.93, -1.17, -1.28, -1.48, -1.56, 
##     -1.67, -2.01, -2.15, -2.23, -2.41, -2.47, -2.6, -2.36, -2.28, 
##     -2.14, -1.01, -0.92, -0.53, -0.34, -0.31, -0.26, -0.19, -0.16, 
##     0.18, 0.35, 0.45, 0.5, 0.67, 0.88, 1.01, 1.43, 1.48, 1.3, 
##     1.3, 1.41, 1.51, 1.51, 1.4, 1.06, 0.95, 0.82, 0.66, 0.47, 
##     0.21, -0.61, -0.61, -0.63, -0.67, -0.75, -1.09, -1.17, -1.38, 
##     -1.83, -1.91, -1.99, -2.02, -1.99, -2.04, -1.91, -1.54, -1.56, 
##     -1.38, -0.95, -0.88, -0.48, -0.5, -0.53, -0.56, -0.43, -0.42, 
##     -0.61, -1.08, -1.09, -1.11, -1.14, -1.16, -1.14, -1.11, -1.08, 
##     -1.08, -1.04, -0.96, -0.87, -0.18, -0.11, 0.08, 0.21, 0.51, 
##     0.82, 1.56, 2.06, 2.09, 2.23, 2.7, 2.81, 2.81, 2.75, 2.42, 
##     1.89, 0.92, -2.12, -2.65, -2.91, -3.29, -3.37, -3.2, -2.87, 
##     -2.65, -2.22, -1.51, -1.45, -1.49, -1.35, -1.17, -1.03, -0.77, 
##     -0.51, -0.21, -0.1, -0.13, -0.11, -0.03, 0.06, 0.21, 0.35, 
##     0.59, 0.71, 0.82, 1.36, 1.45, 1.54, 1.51, 1.62, 1.62, 2.33, 
##     2.42, 2.67, 2.79, 2.49, 1.54, 0.24, -2.12, -2.26, -2.31, 
##     -2.75, -2.99, -3.1, -3.12, -3.07, -2.99, -2.83, -2.71, -2.47, 
##     -2.38, -2.22, -1.91, -1.72, -1.36, -1.28, -1.27, -1.2, -1.06, 
##     -0.64, -0.18, -0.11, -0.03, -0.06, -0.05, -0.02, 0.42, 0.48, 
##     1.08, 1.25, 1.46, 1.48, 1.4, 1.3, 1.27, 1.27, 1.36, 1.77, 
##     2.23, 2.28, 2.42, 2.68, 0.74, -2.3, -2.41, -2.59, -2.62, 
##     -2.62, -0.79, -0.79, -0.79, -0.8, -0.75, -0.51, -0.4, -0.39, 
##     -0.37, -0.34, -0.22, -0.13, -0.05, -0.02, 0, 0, -0.02, -0.02, 
##     -0.03, 0, 0.05, 0.06, 0.06, 0.03, -0.02, -0.14, -0.22, -0.19, 
##     0.05, 0, -0.02, -0.03, -0.13, -0.16, -0.75, -0.83, -0.83, 
##     -0.85, -0.96, -1.06, -1.16, -1.12, -1.09, -1.09, -1.08, -1.11, 
##     -1.08, -1.06, -1.08, -1.09, -1.11, -1.16, -0.96, -0.87, -0.69, 
##     -0.63, -0.59, -0.59, -0.58, -0.53, -0.48, -0.42, -0.34, -0.37, 
##     -0.39, -0.35, -0.18, 0.05, -0.02, 0.19, 0.31, 0.11, -0.03, 
##     -0.19, -0.58, -0.59, -0.48, -0.4, -0.32, -0.32, -0.35, -0.43, 
##     -0.47, -0.26, -0.16, -0.34, -0.82, -0.79, -0.77, -0.74, -0.72, 
##     -1.03, -1.11, -1.14, -1.17, -1.19, -1.12, -1.08, -1.03, -1.11, 
##     -1.24, -1.2, -1.14, -0.95, -0.85, -0.83, -0.93, -1.01, -0.95, 
##     -0.88, -0.79, -0.63, -0.56, -0.5, -0.26, -0.11, -0.13, -0.11, 
##     -0.08, 0.02, 0, -0.03, -0.03, -0.06, -0.1, -0.11, -0.1, -0.1, 
##     -0.1, -0.14, -0.24, -0.31, -0.32, -0.34, -0.29, -0.29, -0.29, 
##     -0.27, -0.24, -0.29, -0.39, -0.66, -0.75, -0.69, -0.63, -0.55, 
##     -0.5, -0.71, -0.79, -0.83, -0.77, -0.74, -0.77, -1.01, -1.11, 
##     -1.04, -0.96, -0.63, -0.61, -0.71, -0.79, -0.9, -0.96, -0.98, 
##     -0.98, -1.01, -1, -0.96, -0.95, -0.79, -0.69, -0.61, -0.55, 
##     -0.5, -0.37, -0.34, -0.21, -0.18, -0.16, -0.14, -0.05, -0.06, 
##     -0.05, -0.02, 0.1, 0.18, 0.26, 0.26, 0.26, 0.16, 0.08, 0.03, 
##     -0.02, -0.03, -0.19, -0.26, -0.32, -0.39, -0.42, -0.43, -0.4, 
##     -0.37, -0.32, -0.06, -0.02, 0.05, 0.03, 0.02, -0.16, -0.69, 
##     -0.71, -0.64, -0.5, -0.45, -0.55, -0.58, -0.75, -0.8, -0.83, 
##     -0.83, -0.83, -0.8, -0.83, -0.83, -0.75, -0.69, -0.72, -0.85, 
##     -0.95, -0.98, -0.96, -1.01, -0.95, -0.93, -0.95, -0.95, -0.96, 
##     -1.01, -0.93, -0.87, -0.59, -0.53, -0.61, -0.58, -0.59, -0.75, 
##     -0.8, -0.82, -0.8, -0.79, -0.79, -0.8, -0.8, -0.8, -0.74, 
##     -0.66, -0.59, -0.5, -0.35, -0.35, -0.34, -0.26, -0.42, -0.48, 
##     -0.47, -0.45, -0.43, -0.47, -0.5, -0.55, -0.56, -0.66, -0.69, 
##     -0.74, -0.13, 0.02, 0.32, 0.37, 0.48, 0.51, 0.56, 0.64, 0.69, 
##     0.71, 0.72, 0.69, 0.71, 0.71, 0.82, 0.8, 0.74, 0.59, 0.55, 
##     0.48, 0.32, 0.27, 0.22, 0.18, 0, -0.03, -0.02, -0.1, -0.37, 
##     -0.64, -0.79, -1.01, -1.11, -1.14, -1.2, -1.25, -1.2, -1.19, 
##     -1.16, -1.14, -1.11, -1.09, -1.11, -1.12, -1.16, -1.17, -1.17, 
##     -1.22, -1.27, -1.19, -1.04, -1.01, -1.01, -1.03, -1.01, -0.96, 
##     -0.37, -0.26, -0.13, -0.1, -0.11, -0.16, -0.14, -0.19, -0.27, 
##     -0.21, -0.21, -0.18, 0.05, 0.19, 0.27, 0.29, 0.27, 0.34, 
##     0.5, 0.55, 0.58, 0.56, 0.56, 0.47, 0.34, 0.21, 0.13, 0.13, 
##     0.13, 0.13, 0.14, 0.16, 0.13, 0.03, 0, 0, -0.05, -0.1, -0.16, 
##     -0.32, -0.37, -0.42, -0.45, -0.5, -0.53, -0.75, -0.82, -0.96, 
##     -1, -1.03, -1.28, -1.27, -1.19, -1.16, -1.12, -1.11, -1.09, 
##     -1.28, -1.28, -1.32, -1.3, -1.2, -1.2, -1.19, -1.16, -1.16, 
##     -1.17, -1.16, -1.14, -0.98, -0.95, -0.88, -0.82, -0.75, -0.32, 
##     -0.13, -0.06, -0.02, 0.02, 0.06, 0.11, 0.14, 0.14, 0.06, 
##     0.1, 0.11, 0.16, 0.55, 0.58, 0.59, 0.59, 0.48, 0.37, 0.16, 
##     0.1, 0.13, 0.14, 0.13, 0, -0.02, -0.05, -0.13, -0.39, -0.63, 
##     -0.85, -0.88, -0.93, -1.06, -1.08, -1.08, -1.09, -1.12, -1.14, 
##     -1.19, -1.22, -1.22, -1.2, -1.2, -1.17, -1.11, -1.08, -1.08, 
##     -1.08, -1.08, -1.09, -1.11, 0.32, 0.32, 0.4, 0.5, 0.59, 0.74, 
##     1.06, 1.19, 1.27, 1.17, 1.06, 0.92, 0.69, 0.32, -0.05, -0.06, 
##     -0.1, -0.24, -0.48, -0.53, -0.56, -0.55, -0.56, -0.61, -0.69, 
##     -0.9, -0.98, -0.98, -0.98, -0.98, -0.96, -0.9, -0.9, -0.9, 
##     -0.88, -0.88, -0.82, -0.85, -0.95, -1.19, -1.28, -1.27, -1.27, 
##     -1.27, -1.19, -1.19, -1.17, -1.33, -1.11, -1.03, -0.9, -0.87, 
##     -0.88, -0.83, -0.79, -0.72, -0.51, -0.29, 0, 0.02, 0.05, 
##     0.11, 0.13, 0.11, 0.05, -0.03, -0.18, 0.08, 0.64, 0.67, 0.56, 
##     0.24, 0.06, -0.31, -0.42, -0.34, -0.13, -0.11, -0.16, -0.24, 
##     -0.48, -0.51, -0.64, -0.93, -1.04, -1.09, -1.14, -1.17, -1.2, 
##     -1.14, -1.08, -1.06, -1.2, -1.36, -1.64, -1.8, -1.77, -1.65, 
##     -1.59, -1.32, -1.28, -1.27, -1.04, -0.92, -0.8, -0.72, -0.74, 
##     -0.75, -0.79, -0.58, -0.47, -0.34, -0.13, -0.06, -0.03, -0.1, 
##     -0.06, 0.18, 0.75, 0.85, 0.96, 0.98, 0.96, 0.8, 0.66, 0.63, 
##     0.58, 0.5, 0.47, 0.13, 0.08, 0.05, 0.02, 0.02, 0.03, -0.31, 
##     -0.37, -0.4, -0.61, -0.63, -0.63, -0.63, -0.63, -0.66, -0.71, 
##     -0.75, -0.83, -0.93, -1.08, -1.11, -1.11, -1.09, -1.09, -1.09, 
##     -1.09, -1.06, -1.04, -1.01, -0.93, -1.08, -1.16, -1.24, -1.19, 
##     -1.14, -1.06, -0.98, -0.9, -1.09, -1.03, -0.88, -0.29, -0.11, 
##     -0.05, 0.05, 0.05, -0.18, -0.26, -0.37, -0.37, -0.31, -0.22, 
##     -0.08, 0.1, 0.43, 0.55, 0.58, 0.63, 0.29, 0.19, 0.06, 0.03, 
##     0.05, 0.08, 0.16, 0.22, 0.27, 0.14, 0.1, -0.53, -0.61, -0.69, 
##     -0.74, -0.77, -0.83, -1.09, -1.14, -1.38, -1.61, -1.62, -1.57, 
##     -1.36, -1.27, -1, -0.88, -0.87, -0.95, -1.06, -1.14, -1.24, 
##     -1.16, -1.09, -1.03, -1, -1.14, -0.98, -0.95, -0.88, -0.83, 
##     -0.82, -0.82, -0.77, -0.67, -0.59, -0.34, -1.2, -1.14, -0.96, 
##     -0.74, -0.32, -0.16, -0.06, 0.02, 0.05, 0.02, -0.06, 0.11, 
##     0.21, 0.72, 0.87, 1, 1.08, 1.22, 1.27, 1.28, 1.28, 1.3, 1.4, 
##     1.46, 1.43, 1.38, 1.16, 0.93, 0.1, -0.19, -0.43, -0.56, -0.59, 
##     -0.59, -0.58, -0.85, -1.01, -1.38, -1.81, -1.8, -1.73, -1.65, 
##     -1.48, -1.4, -1.28, -1.25, -1.25, -1.24, -0.9, -0.8, -0.74, 
##     -0.66, -0.63, -0.51, -0.45, -0.22, -0.02, 0.05, 0.11, 0.21, 
##     0.27, 0.98, 1.24, 1.3, 1.33, 1.38, 1.46, 1.51, 1.56, 1.59, 
##     1.59, 1.53, 1.46, 1.24, 0.82, 0.83, 0.88, 0.24, -0.61, -0.74, 
##     -0.88, -0.93, -1.01, -1.33, -1.43, -1.48, -1.25, -1.19, -0.06, 
##     -0.13, -0.13, -0.11, -0.08, -0.1, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.06, -0.03, -0.03, -0.05, -0.08, -0.11, -0.11, -0.03, 
##     0.03, 0.03, 0.08, 0.26, 0.29, 0.67, 0.75, 0.87, 1, 1.09, 
##     1.16, 1.38, 1.57, 1.64, 1.73, 1.78, 1.73, 1.65, 0.95, 0.9, 
##     0.87, 0.85, 0.87, 0.87, 0.8, 0.75, 0.43, 0.03, -0.26, -0.43, 
##     -0.53, -0.56, -0.67, -0.9, -1.01, -1.06, -1.09, -1.09, -1.06, 
##     -1.01, -0.83, 0.03, 0.1, 0.19, 0.27, 0.37, 0.59, 0.67, 0.77, 
##     0.82, 0.9, 0.96, 0.96, 0.95, 0.93, 0.82, 0.72, 0.22, -0.45, 
##     -0.55, -0.55, -0.87, -1.03, -1.12, -1.22, -1.3, -1.36, -1.41, 
##     -1.33, -1.27, -1.19, -1.01, -0.96, -0.8, -0.71, -0.61, -0.5, 
##     -0.32, 0.42, 0.51, 0.72, 0.85, 1.25, 1.32, 1.32, 1.3, 1.2, 
##     1.17, 1.08, 1.04, 1.01, 0.98, 0.92, 0.88, 0.8, 0.45, 0.19, 
##     -0.64, -0.69, -0.77, -0.83, -1.04, -1.32, -1.35, -1.22, -1.11, 
##     -0.75, -0.56, -0.47, -0.47, -0.42, -0.21, 0.05, 0.4, 0.47, 
##     0.64, 0.71, 0.8, 1, 1.08, 1.16, 1.24, 1.2, 1.09, 0.72, 0.67, 
##     0.72, 0.74, 0.48, 0.31, -0.31, -0.42, -0.59, -0.74, -0.8, 
##     -0.96, -1.04, -1.16, -1.22, -1.22, -1.14, -1.11, -0.92, -0.67, 
##     -0.58, -0.55, -0.39, -0.31, -0.16, 0.1, 0.27, 0.32, 0.39, 
##     0.42, 0.48, 0.77, 0.83, 0.9, 1.03, 1.01, 1, 0.95, 0.9, 0.82, 
##     0.75, 0.83, -0.66, -0.69, 1.2, 1.22, 1.3, 1.4, 1.48, 1.46, 
##     1.4, 1.09, 1.04, 1, 0.98, 0.98, 0.77, -0.03, -0.26, -0.64, 
##     -0.69, -0.67, -0.87, -0.92, -1.09, -1.09, -1.08, -1.03, -0.82, 
##     -0.8, -0.77, -0.74, -0.69, -0.67, -0.67, -0.53, -0.34, -0.27, 
##     -0.21, -0.14, -0.1, 0.27, 0.37, 0.69, 0.83, 0.88, 0.87, 0.83, 
##     0.79, 0.74, 0.66, 0.58, 0.56, 0.55, 0.59, 0.63, 0.66, 0.72, 
##     0.75, 0.82, 0.71, 0.48, -0.34, -0.63, -0.64, -0.71, -0.95, 
##     -1.12, -1.11, -0.95, -0.71, -0.64, -0.58, -0.45, -0.1, -0.03, 
##     0.03, 0.08, 0.11, 0.16, 0.24, 0.45, 0.55, 0.71, 0.75, 0.82, 
##     0.87, 0.85, 0.83, 0.67, 0.55, 0.48, 0.42, 0.43, 0.53, 0.67, 
##     0.74, 0.8, -0.31, -0.48, -0.58, -0.63, -0.63, -0.64, -0.71, 
##     -0.75, -0.93, -1.01, -1.14, -1.12, -1.11, -1.06, -0.83, -0.74, 
##     -0.64, -0.55, -0.48, -0.42, -0.34, -0.22, -0.1, 0.06, 0.14, 
##     0.26, 0.5, 0.61, 0.77, 0.83, 0.79, 0.58, 0.53, 0.56, 0.61, 
##     0.63, 0.66, 0.63, 0.56, 0.64, 0.82, 0.83, 0.83, 0.67, 0.55, 
##     0.5, 0.29, 0.18, 0.31, 0.47, 0.5, 0.55, 0.5, 0.35, 0.19, 
##     -0.22, -0.53, -0.59, -0.61, -0.59, 0, 0, -0.03, -0.06, -0.08, 
##     -0.08, -0.06, -0.03, -0.03, -0.03, 0, 0.02, 0.05, 0.05, 0.03, 
##     -0.02, -0.05, -0.05, -0.02, -0.03, -0.06, -0.08, -0.11, -0.11, 
##     -0.1, -0.08, -0.1, -0.06, -0.03, 0.02, 0, -0.02, 0.02, 0, 
##     0, 0, 0, -0.03, -0.06, -0.06, -0.05, -0.03, 0, 0.02, 0, 0.02, 
##     0, 0, 0, 0, 0, 0, -0.02, -0.03, -0.03, -0.02, -0.03, -0.02, 
##     -0.02, -0.03, -0.03, -0.05, -0.06, -0.08, -0.14, -0.08, -0.1, 
##     -0.08, -0.05, -0.08, -0.06, -0.05, -0.02, 0.05, 0.06, 0.1, 
##     0.13, 0.18, 0.22, 0.24, 0.22, 0.13, 0.08, -0.05, -0.08, -0.16, 
##     -0.19, -0.21, -0.31, -0.32, -0.32, -0.21, -0.16, -0.14, -0.11, 
##     -0.1, -0.08, -0.1, -0.08, -0.05, 0, 0.02, 0.06, 0.03, 0.03, 
##     0.03, 0.02, 0.02, 0, -0.02, -0.02, -0.05, -0.05, -0.05, -0.03, 
##     0, 0, 0.02, 0.02, 0, -0.03, 0, 0.02, -0.02, -0.05, -0.02, 
##     0, 0, -0.03, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.06, 
##     -0.1, -0.03, -0.02, -0.05, -0.03, -0.06, -0.02, 0.02, 0.06, 
##     0.08, 0.06, 0.05, 0.02, -0.05, -0.05, -0.05, -0.06, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, 0, 0.02, 0, -0.02, -0.02, 
##     -0.02, -0.02, -0.03, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 
##     0.02, 0, 0, -0.02, -0.02, -0.02, -0.05, -0.05, -0.06, -0.13, 
##     -0.14, -0.11, -0.13, -0.29, -0.29, -0.34, -0.39, -0.4, -0.42, 
##     -0.42, -0.51, -0.67, -0.64, -0.53, -0.34, -0.14, -0.06, 0.08, 
##     0.13, 0.16, 0.24, 0.18, 0.14, 0.05, 0.03, 0.02, 0, -0.05, 
##     -0.05, -0.13, -0.19, -0.19, -0.16, -0.14, -0.06, 0.27, 0.45, 
##     0.69, 1.01, 1.25, 1.4, 1.53, 1.56, 1.61, 1.65, 1.77, 1.85, 
##     1.91, 1.93, 1.89, 1.86, 1.64, 1.54, 1.35, 1.38, 1.35, -0.24, 
##     -0.61, -0.88, -1.08, -1.35, -1.48, -1.65, -1.8, -1.99, -2.15, 
##     -2.12, -2.06, -1.99, -2.07, -2.12, -2.22, -2.28, -2.3, -1.89, 
##     -1.33, -0.83, -0.59, 0.35, 0.59, 1.24, 1.45, 1.61, 1.85, 
##     1.99, 2.06, 1.96, 2.02, 2.25, 2.1, 1.88, 1.85, 1.83, 1.75, 
##     1.51, 1.32, 0.26, -0.92, -1.03, -1.53, -1.7, -1.89, -2.01, 
##     -2.17, -2.22, -2.17, -1.98, -2.2, -2.1, -2.14, -2.18, -2.15, 
##     -1.81, -0.72, 0.75, 1.53, 1.65, 1.75, 1.99, 2.1, 2.18, 2.22, 
##     -0.56, 1.43, 1.59, 1.67, 1.73, 1.77, 1.81, 1.8, 1.93, 2.07, 
##     2.04, 1.96, 1.88, 1.43, 1.35, 0.71, -0.31, -0.64, -1.01, 
##     -1.53, -1.75, -1.96, -1.8, -1.8, -1.59, -1.8, -1.83, -1.91, 
##     -1.56, -0.4, -0.16, 0.27, 0.51, 0.77, 0.96, 1.12, 1.27, 1.56, 
##     -1.48, -0.75, -0.55, -0.34, 1.22, 1.98, 2.01, 2.04, 2.02, 
##     2.02, 1.93, 1.88, 1.72, 1.2, -0.02, 1.96, 2.04, 2.09, 1.86, 
##     1.81, 1.75, 1.69, 1.62, 1.54, 1.48, 1.4, 1.14, 0.95, 0.69, 
##     0.4, -0.11, -0.47, -0.61, -0.85, -1, -1.14, -1.4, -1.93, 
##     -2.06, -2.18, -2.17, -1.88, -2.06, -2.04, -2.02, -0.08, 0.79, 
##     1.01, 1.93, 2.14, 2.17, 2.22, 2.26, 2.3, 2.18, 1.99, 1.4, 
##     1.25, 0.79, -0.58, -0.55, -0.45, -0.37, -0.31, -0.24, -0.21, 
##     -0.21, -0.22, -0.19, -0.06, 0.02, 0.13, -0.02, -0.14, -0.21, 
##     -0.21, -0.37, -0.43, -0.48, -0.56, -0.58, -0.58, -0.59, -0.59, 
##     -0.61, -0.64, -0.66, -0.69, -0.72, -0.77, -0.83, -0.87, -0.88, 
##     -0.87, -0.85, -0.83, -0.83, -0.85, -0.87, -0.92, -1.01, -0.98, 
##     -0.95, -0.95, -0.95, -0.88, -0.85, -0.8, -0.75, -0.67, -0.66, 
##     -0.64, -0.64, -0.58, -0.53, -0.48, -0.45, -0.43, -0.48, -0.51, 
##     -0.55, -0.56, -0.56, -0.56, -0.53, -0.48, -0.47, -0.32, -0.29, 
##     -0.29, -0.11, 0.03, 0.05, 0.03, -0.02, -0.08, -0.08, -0.13, 
##     -0.13, -0.11, -0.1, -0.24, -0.31, -0.37, -0.71, -0.69, -0.66, 
##     -0.64, -0.79, -1.04, -1.12, -1.24, -1.2, -1.14, -1.11, -1.09, 
##     -1.06, -1.03, -1.01, -1.08, -1.03, -0.96, -0.9, -0.56, -0.47, 
##     -0.48, -0.53, -0.58, -0.64, -0.56, -0.56, -0.51, -0.47, -0.48, 
##     -0.5, -0.53, -0.55, -0.51, -0.42, -0.37, -0.32, -0.31, -0.31, 
##     -0.31, -0.29, -0.31, -0.31, -0.11, -0.22, -0.18, -0.11, -0.11, 
##     -0.18, -0.26, -0.4, -0.47, -0.5, -0.56, -0.58, -0.59, -0.59, 
##     -0.67, -0.72, -0.8, -0.96, -1.04, -1.27, -1.28, -1.12, -1.06, 
##     -1.11, -1.14, -0.87, -0.79, -0.74, -0.74, -0.79, -0.71, -0.63, 
##     -0.5, -0.56, -0.58, -0.58, -0.56, -0.48, -0.43, -0.42, -0.39, 
##     -0.35, -0.31, -0.24, -0.13, -0.08, -0.1, -0.1, -0.1, -0.03, 
##     0.05, -0.02, -0.13, -0.24, -0.34, -0.35, -0.31, -0.26, -0.22, 
##     -0.24, -0.29, -0.37, -0.45, -0.55, -0.64, -0.61, -0.61, -0.61, 
##     -0.63, -0.64, -0.66, -0.63, -0.61, -0.61, -0.61, -0.61, -0.64, 
##     -0.69, -1.08, -1.19, -1.28, -1.48, -1.62, -1.8, -1.98, -2.26, 
##     -2.57, -2.49, -2.38, -1.59, -1.46, -0.8, -0.74, -0.72, -0.75, 
##     -0.8, -0.88, -0.93, -0.92, -0.83, -0.8, -0.77, -0.74, -0.72, 
##     -0.71, -0.66, -0.63, -0.56, -0.53, -0.51, -0.55, -0.56, -0.51, 
##     -0.51, -0.5, -0.47, -0.4, -0.31, -0.32, -0.4, -0.47, -0.5, 
##     -0.51, -0.58, -0.61, -0.63, -0.64, -0.64, -0.64, -0.63, -0.63, 
##     -0.63, -0.61, -0.53, -0.53, -0.53, -0.53, -0.55, -0.56, -0.58, 
##     -0.66, -0.63, -0.63, -0.59, -0.48, -0.39, -0.37, -0.37, -0.43, 
##     -0.53, -0.53, -0.51, -0.51, -0.56, -0.53, -0.56, -0.58, -0.47, 
##     0.21, 0.35, 0.42, 0.55, 0.56, 0.51, 0.45, 0.31, 0.21, 0.21, 
##     0.24, 0.18, 0.11, 0.19, 0.29, 0.29, 0.29, 0.26, 0.21, 0.19, 
##     0.14, 0.06, -0.03, -0.31, -0.39, -0.43, -0.61, -0.82, -0.9, 
##     -0.98, -1.16, -1.27, -1.45, -1.51, -1.78, -1.81, -1.83, -1.83, 
##     -1.81, -1.8, -1.8, 0.02, 0, 0, 0.02, 0.06, 0.34, 0.4, 0.35, 
##     0.35, 0.43, 0.51, 0.55, 0.53, 0.5, 0.5, 0.48, 0.45, 0.45, 
##     0.45, 0.35, 0.22, -0.1, -0.18, -0.29, -0.66, -0.95, -1.2, 
##     -1.32, -1.48, -1.7, -1.78, -1.85, -1.99, -2.07, -2.25, -2.3, 
##     -2.1, -2.04, -1.96, -1.77, -1.67, -1.59, -1.59, -1.56, -1.51, 
##     -1.46, -1.4, -1.27, -1.04, -1.08, -1.24, -1.32, -1.06, -0.85, 
##     -0.4, -0.35, -0.22, -0.11, -0.05, 0, 0.13, 0.29, 0.42, 0.43, 
##     0.4, 0.39, 0.37, 0.39, 0.39, 0.42, 0.43, 0.48, 0.47, 0.43, 
##     0.39, 0.37, 0.29, 0.26, 0.27, 0.35, 0.39, 0.4, 0.18, 0.06, 
##     -0.05, -0.58, -0.69, -0.8, -0.85, -0.92, -0.96, -1.04, -1.17, 
##     -1.25, -1.33, -1.64, -1.56, -1.56, -1.4, -1.28, -1.11, -0.85, 
##     -0.77, -0.5, -0.43, -0.37, -0.02, 0.31, 0.4, 0.59, 0.59, 
##     0.59, 0.35, 0.29, 0.26, 0.22, 0.22, -1.48, -1.56, -1.86, 
##     -1.93, -2.01, -2.07, -2.25, -2.31, -2.31, -2.28, -2.3, -2.23, 
##     -2.17, -2.07, -1.88, -1.81, -1.72, -1.67, -1.69, -1.64, -1.57, 
##     -1.48, -1.38, -1.36, -1.36, -1.36, -1.35, -1.38, -1.4, -1.8, 
##     -1.69, -1.36, -0.83, -0.35, 0, 0.48, 0.45, 0.26, -0.11, -0.31, 
##     -0.4, -0.5, -0.39, 0.08, 0.03, -0.58, -0.58, -0.58, -0.58, 
##     -0.56, -0.53, -0.51, -0.48, -0.26, -0.16, -0.08, -0.1, -0.13, 
##     -0.26, -0.27, -0.32, -0.39, -0.37, -0.37, -0.42, 1, 1.27, 
##     1.36, 1.43, 1.41, 1.35, 1.27, 1.32, 1.43, 1.59, 1.57, 1.61, 
##     1.62, 1.69, 1.73, 1.43, -0.42, -0.98, -1.4, -1.93, -2.14, 
##     -2.97, -2.7, -2.41, -1.98, -1.98, -1.83, -1.78, -1.46, -1.36, 
##     -0.96, -0.72, -0.06, 0.06, -2.99, -2.57, -2.44, -2.07, -2.07, 
##     -1.86, -1.83, -1.2, -0.63, -0.47, -0.35, -0.22, -0.06, 0.16, 
##     0.19, 0.31, 0.34, 0.4, 0.47, 0.61, 0.9, 1.14, 1.17, 1.16, 
##     1.16, 1.16, 1.25, 1.41, 2.36, 2.34, 2.3, 2.23, 2.22, 1.73, 
##     -1.08, -1.45, -1.72, -2.18, -2.42, -3.12, -3.24, -3.4, -3.32, 
##     -3.12, -2.55, -1.86, -1.56, -1.32, -1.4, -1.51, -1.59, -1.72, 
##     -1.8, -1.45, -1.11, -0.26, -0.16, -0.05, -0.05, 0, 0.08, 
##     0.06, 0.06, 0.16, 0.48, 0.69, 0.95, 1.06, 1.12, 1.19, 1.27, 
##     1.33, 1.38, 1.45, 1.41, 1.38, 1.43, 1.45, 1.41, 1.41, 1.45, 
##     1.54, 1.62, 1.61, 1.32, 0.83, -0.96, -1.35, -1.62, -2.39, 
##     -2.83, -2.99, -3.16, -3.07, -2.18, -2.06, -1.94, -1.85, -1.81, 
##     -1.73, -1.62, -3.02, -3.2, -3.26, -3.24, -3.24, -2.97, -2.49, 
##     -2.34, -2.12, -1.85, -1.57, -1.51, -1.77, -1.88, -1.91, -1.94, 
##     -1.89, -0.75, -0.29, 0, 0.08, 0.1, -1.65, -1.73, -1.85, -2.34, 
##     -2.65, -2.78, -2.86, -2.89, -2.71, -2.59, -2.18, -1.46, -1.27, 
##     -1.06, -0.85, -0.96, -1.43, -1.54, -1.61, -1.59, -1.09, -0.85, 
##     -0.64, -0.47, -0.13, 0.03, 0.1, 0.06, 0, 1.51, 1.51, 1.36, 
##     1.3, 1.28, 1.33, 1.36, 1.53, 1.54, 1.53, 1.49, 1.45, 1.35, 
##     1.12, 0.26, -0.34, -1.12, -0.37, -0.39, -0.31, -0.21, -0.21, 
##     -0.21, -0.19, -0.19, -0.18, -0.21, -0.31, -0.32, -0.31, -0.32, 
##     -0.16, -0.1, -0.06, -0.02, 0.13, 0.26, 0.31, 0.31, 0.31, 
##     0.27, 0.14, 0.08, 0.02, 0, -0.03, -0.16, -0.22, -0.29, -0.32, 
##     -0.34, -0.31, -0.29, -0.32, -0.42, -0.47, -0.5, 0.24, -0.08, 
##     -0.95, -1.49, -1.77, -2.2, -2.33, -2.5, -2.5, -2.33, -2.46, 
##     -2.54, -2.33, -2.3, -2.34, -1.94, -1.98, -1.54, -0.8, -0.53, 
##     -0.24, 0.29, 0.5, 0.71, 1.08, 1.24, 1.38, 1.62, 1.93, 1.98, 
##     1.96, 2.1, 2.09, 2.04, 1.98, 1.91, 1.98, 1.91, 0.93, -0.18, 
##     -0.48, -0.72, -1.49, -1.69, -1.8, -1.85, -2.01, -2.09, -2.14, 
##     -2.04, -1.12, -1.16, -1.2, -1.28, -0.88, -0.92, -0.96, -1.14, 
##     -1.03, -0.9, -0.59, -0.27, -0.14, -0.18, -0.21, -0.14, -0.03, 
##     0.24, 0.39, 0.35, 0.34, -0.39, -0.53, -1.03, -1.17, -1.32, 
##     -1.43, -1.93, -2.12, -2.2, -2.18, -2.12, -2.1, -2.15, -2.15, 
##     -2.12, -2.01, -1.86, -1.67, -0.8, -0.47, -0.11, 0.47, 0.98, 
##     1.45, 1.89, 1.94, 1.96, 1.96, 1.98, 1.99, 1.99, 1.99, 1.96, 
##     1.48, 0.85, 0.27, 0.11, -0.06, -0.48, -0.69, -1.28, -1.54, 
##     -1.7, -1.72, -1.73, -1.85, -1.59, -1.62, -1.7, -1.69, -1.7, 
##     2.15, 2.1, 2.07, 1.72, 1.7, 1.67, 1.04, 0.58, 0.39, -0.24, 
##     -0.47, -0.71, -0.98, -1.54, -1.77, -1.96, -2.17, -2.25, -2.28, 
##     -2.15, -1.91, -1.73, -1.8, -1.85, -1.51, -1.49, -0.02, 0, 
##     -0.02, -0.02, -0.02, 0.02, 0, 0, 0, -0.03, -0.05, -0.03, 
##     -0.02, -0.02, -0.03, -0.02, -0.05, -0.03, -0.02, -0.03, -0.03, 
##     -0.03, -0.06, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.32, 
##     -0.45, -0.61, -0.71, -0.75, -0.77, -0.74, -0.74, -0.74, -0.75, 
##     -0.67, -0.51, -0.45, -0.34, -0.32, -0.31, -0.27, -0.19, -0.11, 
##     0.08, 0.14, 0.22, -0.64, -0.71, -1.09, -1.28, -1.11, -1.03, 
##     -0.96, -0.75, -0.77, -0.74, -0.69, -0.69, -0.56, -0.47, -0.19, 
##     0.29, 0.4, 0.61, 0.72, 0.82, 0.93, 1.04, 1.12, 1.17, -0.98, 
##     -0.83, -0.77, -0.67, -0.71, -0.71, -0.74, -0.77, -0.75, -0.75, 
##     -0.74, -0.72, -0.74, -0.69, -0.61, -0.42, -0.34, -0.21, -0.19, 
##     -0.02, 0.02, 0.26, 0.29, 0.34, 0.13, 0.06, -1.38, -1.49, 
##     -1.61, -2.34, -2.76, -2.59, -2.47, -1.91, -1.67, -1.33, -0.69, 
##     -0.48, -0.27, -0.06, 0.05, 0.02, 0.1, 0.14, 0.16, -0.02, 
##     -0.11, -0.13, -0.1, -0.16, -0.19, -0.19, -0.18, -0.22, -0.27, 
##     -0.29, 0.11, 0.18, 0.42, 0.53, 0.61, 0.72, 0.95, 1.03, 1.08, 
##     1.09, 1.14, 1.38, 1.61, 1.88, 1.98, 2.14, 2.23, 2.26, 2.23, 
##     1.67, 1.33, 0.06, -0.66, -1.12, -0.92, -0.74, -0.45, 0, 0.13, 
##     0.32, 0.47, 1.14, 1.27, 1.38, 1.51, 1.57, 1.91, 1.94, 1.93, 
##     1.75, 1.67, 1.19, -1.36, -1.73, -2.67, 0.19, 0.32, 0.48, 
##     0.63, 0.75, 1.08, 1.2, 1.27, 1.48, 1.51, 1.62, 1.65, 1.67, 
##     1.7, 1.78, 1.96, 1.98, 1.96, 1.86, 1.75, 1.59, 0.77, -0.55, 
##     -1.06, -1.4, -1.75, -2.57, -2.52, -2.2, -2.02, -1.85, -1.73, 
##     -1.49, -1.48, -1.51, -1.36, -1.25, -1.19, -1.19, -1.19, -1.12, 
##     -1.06, -1.08, -0.59, -0.42, -0.19, -0.14, -0.11, -0.05, 0.08, 
##     1.22, 1.24, 1.2, 1.08, 0.66, 0.08, -0.22, -0.26, -0.34, -0.51, 
##     -1.14, -1.3, -2.09, -2.44, -2.46, -2.38, -2.23, -2.04, -1.91, 
##     -1.73, -1.72, -1.69, -1.57, -1.49, -1.65, -1.57, -1.48, -1.33, 
##     -1.27, -0.96, -0.83, -0.67, -0.48, -0.14, 0.18, 0.26, 0.32, 
##     0.48, 0.56, 0.67, 0.82, 1.16, 1.27, 1.3, 1.28, 1.25, 1.25, 
##     1.24, 1.2, 1.16, 1.16, 1.4, 1.4, 1.35, 1.24, 0.26, -0.11, 
##     -0.14, -0.18, -0.24, -0.32, -0.42, -0.61, -0.75, -0.9, -1.28, 
##     -1.4, -1.77, -1.91, -2.02, -1.99, -1.91, -0.87, -1.01, -1.06, 
##     -1.16, -1.22, -1.19, -1.27, -1.38, -1.38, -1.45, -0.67, -0.58, 
##     -0.55, -0.58, -0.59, -0.55, -0.51, -0.5, -0.45, -0.4, -0.26, 
##     -0.22, -0.13, -0.08, -0.02, -0.06, -0.08, -0.08, -0.1, -0.39, 
##     -0.32, 0.43, 0.51, 0.58, 0.51, 0.53, 0.66, 0.71, 0.71, 0.69, 
##     0.69, 0.22, 0.24, 0.26, 0.29, 0.31, 0.27, 0.22, -0.19, -0.45, 
##     -0.51, -0.71, -0.82, -1, -1.06), gyros_arm_z = c(-0.02, -0.02, 
##     -0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, 0, 0, -0.02, -0.03, 
##     -0.03, -0.03, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0, -0.02, 0, 0, 0, 0, 0, -0.02, 0, 0, -0.02, -0.03, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 
##     -0.02, 0, -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, -0.03, 
##     -0.02, -0.02, 0, 0, 0, 0, -0.02, 0, 0, 0, -0.02, -0.03, -0.02, 
##     -0.03, -0.02, -0.02, -0.02, -0.02, 0, 0, -0.02, 0, 0, 0.02, 
##     0, 0, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 0, 0, 
##     -0.02, -0.02, 0, 0, 0, 0, 0, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.02, -0.03, -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.03, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 
##     -0.02, -0.03, -0.02, -0.02, -0.03, -0.02, -0.02, -0.03, 0, 
##     0, -0.02, -0.02, 0, 0, 0, -0.03, -0.05, -0.05, 0, -0.02, 
##     -0.02, -0.02, -0.03, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 0, 
##     0, -0.02, -0.02, 0, 0, 0.02, -0.11, -0.1, -0.08, -0.07, -0.05, 
##     -0.05, -0.07, -0.11, -0.11, -0.1, -0.07, -0.05, -0.05, -0.08, 
##     -0.05, -0.03, 0.03, -0.03, -0.02, -0.02, -0.02, -0.03, -0.08, 
##     -0.07, -0.05, -0.05, -0.08, -0.08, -0.07, -0.03, 0.02, 0.02, 
##     0.02, -0.05, -0.08, -0.08, -0.02, -0.03, -0.03, -0.03, -0.05, 
##     -0.05, -0.07, -0.43, 0.13, 0.13, 0.11, 0.13, 0.15, 0.11, 
##     0.13, 0.15, 0.16, 0.16, 0.18, 0.18, 0.15, 0.07, -0.08, -0.2, 
##     -0.18, -0.11, -0.05, 0.08, 0.34, 0.28, 0.23, 0.1, 0.1, 0.11, 
##     0.11, 0.13, 0.13, 0.11, 0.08, 0.05, 0.05, 0.05, 0.07, 0.08, 
##     0.13, 0.1, 0.08, 0.07, 0.07, 0.08, 0.1, 0.1, 0.13, 0.13, 
##     0.16, 0.15, 0.1, 0.07, 0.11, 0.13, 0.15, 0.11, 0.11, 0.1, 
##     0.08, 0.05, 0.02, 0, 0.05, 0.05, 0.02, 0, 0, 0.05, 0.08, 
##     0.08, 0.08, 0.08, 0.05, 0, -0.11, -0.15, -0.13, -0.03, 0, 
##     -0.02, 0.03, 0, -0.07, -0.07, -0.07, -0.05, -0.03, 0.1, 0.1, 
##     0.07, 0.07, -0.03, -0.23, -0.13, 0.51, 0.51, 0.41, 0.08, 
##     0.15, 0.2, 0.18, 0.05, -0.05, -0.07, -0.02, 0.02, 0.02, 0.03, 
##     0.07, 0.05, 0.02, -0.13, -0.21, -0.16, -0.21, -0.07, 0.28, 
##     0.62, 0.51, 0.21, -0.13, -0.3, -0.44, -0.25, -0.18, -0.13, 
##     -0.13, -0.15, -0.13, -0.15, -0.21, -0.21, -0.21, -0.16, -0.16, 
##     -0.13, -0.15, -0.13, -0.05, 0.05, 0.25, 0.28, 0.2, 0.15, 
##     0.13, 0.13, 0.07, 0.03, -0.13, -0.18, -0.2, -0.13, -0.02, 
##     0.33, 0, -0.05, 0.07, 0.2, 0.25, 0.33, 0.33, 0.28, 0.07, 
##     0.05, 0, 0, 0.11, 0.2, 0.18, -0.18, -0.13, 0.18, 0.2, 0.16, 
##     0.05, -0.02, 0.2, 0.23, 0.03, -0.02, 0.05, 0.15, 0.23, 0.34, 
##     0.28, 0.16, 0.11, 0.15, 0.13, 0.08, 0.1, 0.36, 0.2, 0.03, 
##     -0.02, 0.02, 0.18, 0.26, 0.23, 0.21, 0.05, 0.21, 0.25, 0.21, 
##     0, 0, 0.02, 0.08, 0.11, 0.15, 0.16, 0.23, 0.28, 0.25, 0.21, 
##     0.15, 0.1, 0, -0.31, -0.3, -0.28, -0.25, -0.25, -0.28, -0.26, 
##     -0.25, -0.18, 0.05, 0.21, 0.41, 0.38, 0.26, 0.08, -0.13, 
##     -0.38, 0.13, 0.3, 0.36, 0.36, 0.15, 0.08, 0.03, 0.08, 0.1, 
##     0.26, 0.34, 0.51, 0.44, 0.28, 0.18, 0.18, 0.23, 0.26, 0.25, 
##     0.25, 0.18, 0.08, -0.2, -0.03, 0.25, -0.21, -0.18, -0.1, 
##     -0.16, 0.16, 0.02, 0.07, -0.21, -0.25, -0.28, -0.08, -0.05, 
##     -0.08, -0.07, -0.31, -0.33, -0.16, 0.03, 0.2, 0.31, 0.39, 
##     0.28, 0.2, -0.11, -0.16, -0.23, -0.3, -0.41, -0.44, -0.2, 
##     -0.02, 0.13, -0.02, -0.13, -0.3, -0.13, 0, 0.1, 0.2, 0.02, 
##     0, 0, -0.05, -0.15, -0.18, -0.13, -0.07, 0.08, 0.23, 0.23, 
##     0.28, 0.25, -0.11, -0.15, -0.2, -0.25, -0.38, -0.28, -0.2, 
##     -0.11, -0.02, 0.08, 0.15, -0.11, -0.31, -0.3, -0.03, 0.15, 
##     0.41, 0.33, 0.16, -0.1, 0.26, 0.51, 0.39, 0.21, 0.07, 0.23, 
##     0.23, 0.2, 0.11, 0.05, 0.02, 0.02, 0.02, 0.11, 0.08, 0.08, 
##     0.02, -0.2, -0.38, -0.57, -0.18, -0.18, 0.25, 0.16, -0.16, 
##     -0.23, 0.41, 0.51, 0.56, 0.48, 0.33, 0.15, 0, 0.08, 0.02, 
##     -0.07, -0.13, -0.21, -0.25, -0.25, -0.21, -0.07, 0.03, -0.21, 
##     -0.07, 0.39, 0.28, 0.13, 0.03, 0.2, 0.61, 0.33, 0.16, 0.49, 
##     0.36, 0.23, -0.05, -0.05, 0.07, -0.21, -0.26, -0.21, -0.11, 
##     -0.05, -0.11, -0.05, -0.03, -0.03, -0.02, 0.05, 0.18, 0.15, 
##     0.05, 0.08, 0.16, 0.18, 0.16, 0.16, 0.2, 0.25, 0.34, 0.33, 
##     0.25, 0.16, 0.23, 0.33, 0.3, 0.26, 0.2, -0.05, -0.11, -0.03, 
##     0.05, -0.07, -0.26, -0.21, -0.08, 0.02, 0.38, 0.28, -0.07, 
##     0.05, 0.34, 0.43, 0.26, 0.1, 0, 0.07, 0.08, 0.28, 0.07, 0.02, 
##     -0.02, 0.03, 0.1, 0.05, 0, -0.44, 0.02, 0.16, 0.15, 0.13, 
##     0.15, 0.15, 0.07, 0.13, 0.18, 0.31, 0.8, 0.59, 0.15, 0.1, 
##     0.05, -0.03, 0.02, 0.15, 0.15, 0.16, 0.16, -0.33, -0.18, 
##     -0.38, -0.49, -0.48, -0.38, -0.25, -0.1, 0.07, 0.02, -0.33, 
##     -0.54, -0.62, -0.56, -0.13, -0.49, -0.66, -1.08, -1.38, -1.66, 
##     -1.89, -2.28, -2.33, -2.13, -1.57, -0.8, -0.49, -0.18, 0.07, 
##     0.21, 0.3, 0.18, 0.25, 0.38, 0.51, 0.77, 0.94, 1.03, 1.1, 
##     1.05, 0.98, 0.89, 0.74, 0.62, 0.49, 0.44, 0.38, 0.34, 0.38, 
##     0.61, 0.69, 0.67, 0.66, 0.59, 0.64, 0.69, 0.75, 0.75, 0.84, 
##     0.82, 0.74, 0.62, 1.16, 1.02, 0.71, 0.62, 0.62, 0.62, 0.62, 
##     0.59, 0.57, 0.61, 0.67, 0.69, 0.66, 0.66, 0.79, 0.87, 0.87, 
##     0.92, 0.95, 0.94, 0.92, 0.89, 0.85, 0.92, 0.92, 0.94, 0.92, 
##     0.84, 0.84, 0.84, 0.84, 0.84, 0.87, 0.98, 1.02, 1.21, 1.48, 
##     1.69, 1.48, 1.25, 0.34, 0.2, 0.36, 0.8, 0.87, 0.92, 0.94, 
##     0.8, 0.79, 0.79, 0.79, 0.89, 0.89, 0.79, 0.71, 0.75, 0.9, 
##     0.95, 0.98, 0.95, 0.94, 0.9, 0.9, 0.82, 0.75, 0.69, 0.74, 
##     0.92, 0.98, 0.94, 0.87, 0.74, 0.77, 0.82, 0.85, 0.85, 0.84, 
##     0.82, 0.8, 0.79, 0.77, 0.77, 0.82, 0.87, 0.84, 0.82, 0.8, 
##     0.77, 0.74, 0.75, 0.8, 0.84, 0.84, 0.85, 0.85, 0.87, 0.87, 
##     0.85, 0.84, 0.79, 0.77, 0.84, 0.85, 0.85, 0.85, 0.85, 0.85, 
##     0.84, 0.84, 0.69, 0.67, 0.69, 0.85, 0.92, 0.97, 0.92, 0.89, 
##     0.72, 0.67, 0.67, 0.74, 0.8, 0.8, 0.8, 0.79, 0.79, 0.79, 
##     0.77, 0.79, 0.82, 0.85, 0.97, 1.07, 1.05, 1.03, 1.03, 1.07, 
##     1.07, 1.03, 0.98, 0.94, 0.92, 0.89, 0.87, 0.85, 0.85, 0.85, 
##     0.75, 0.71, 0.74, 0.74, 0.71, 0.71, 0.69, 0.66, 0.61, 0.59, 
##     0.59, 0.57, 0.59, 0.59, 0.72, 0.69, 0.66, 0.62, 0.57, 0.49, 
##     0.39, 0.25, 0.16, 0.11, 0.13, 0.26, 0.72, 0.9, 1.03, 1.15, 
##     1.16, 1.16, 0.82, 0.49, 0.38, 0.89, 1.13, 1.62, 0.52, 0.52, 
##     0.49, 0.39, 0.41, 0.52, 0.74, 0.82, 0.8, 0.8, 0.79, 0.79, 
##     0.75, 0.74, 0.75, 0.75, 0.75, 0.75, 0.69, 0.62, 0.72, 0.77, 
##     0.8, 0.8, 0.77, 0.75, 0.74, 0.74, 0.72, 0.69, 0.74, 0.51, 
##     0.34, 0.51, 0.61, 0.69, 0.66, 0.69, 0.79, 0.95, 0.87, 0.64, 
##     0.64, 0.67, 0.84, 0.9, 1, 1.08, 1.18, 1.23, 1.25, 1.28, 1.28, 
##     1.26, 1.25, 1.16, 1.13, 0.75, 0.69, 0.56, 0.28, 0.08, 0.74, 
##     0.79, 0.82, 0.82, 0.79, 0.77, 0.75, 0.77, 0.79, 0.8, 0.8, 
##     0.79, 0.79, 0.77, 0.84, 0.85, 0.82, 0.82, 0.82, 0.84, 0.84, 
##     0.8, 0.79, 0.8, 0.92, 0.9, 0.8, 0.79, 0.75, 0.74, 0.79, 0.97, 
##     0.87, 0.84, 0.74, 0.72, 0.72, 0.82, 0.8, 0.8, 0.79, 0.75, 
##     0.75, 0.79, 0.79, 0.82, 0.84, 0.87, 0.9, 0.9, 0.89, 0.9, 
##     0.94, 0.94, 0.97, 1.02, 1, 0.9, 0.87, 0.74, 0.71, 0.72, 0.77, 
##     0.84, 0.74, 0.75, 0.97, 0.84, 0.69, 0.72, 0.54, 0.31, 0.66, 
##     0.52, 0.41, 0.54, 0.72, 0.62, 1.05, 0.85, 0.61, 0.56, 0.52, 
##     0.8, 0.9, 1.13, 1.28, 1.26, 1.05, 0.62, 0.54, 0.57, 0.61, 
##     0.67, 0.77, 0.75, 0.85, 0.85, 0.74, 0.71, 0.79, 0.9, 0.85, 
##     0.79, 0.82, 0.85, 0.87, 0.84, 0.74, 0.66, 0.8, 1.02, 1.1, 
##     0.97, 0.9, 0.84, 0.82, 0.75, 0.69, 0.72, 0.75, 0.84, 0.95, 
##     1, 1.05, 1.16, 1.12, 0.95, 0.85, 0.79, 0.8, 0.9, 0.85, 0.84, 
##     0.85, 0.94, 0.59, 0.62, 0.74, 0.71, 0.74, 0.8, 0.84, 0.9, 
##     0.87, 0.8, 0.77, 0.75, 0.85, 1.64, 1.76, 1.18, 0.79, 0.36, 
##     -0.67, 0.23, 0.28, 0.54, 0.95, 1.02, 0.89, 0.56, 0.67, 1, 
##     0.94, 0.87, 0.87, 0.87, 0.87, 0.85, 0.84, 0.84, 0.82, 0.8, 
##     0.82, 0.8, 0.8, 0.79, 0.82, 0.85, 0.85, 0.94, 0.97, 0.98, 
##     1.02, 0.97, 0.95, 0.94, 0.9, 0.82, 0.8, 0.74, 0.67, 0.57, 
##     0.54, 0.44, 0.31, 0.28, 0.31, 0.49, 0.92, 0.97, 0.9, 0.79, 
##     0.85, 0.87, 0.94, 1.03, 1.02, 0.74, 0.74, 0.77, 0.75, 0.74, 
##     0.85, 0.46, 0.38, 0.31, 0.26, 0.34, 0.89, 0.95, 0.87, 1.02, 
##     0.95, 0.71, 0.54, 0.56, 0.57, 0.69, 0.79, 0.87, 0.87, 0.84, 
##     0.84, 0.84, 0.82, 0.89, 0.98, 0.9, 0.84, 0.77, 0.97, 1.15, 
##     0.8, 0.85, 0.82, 0.8, 0.82, 1.05, 1.1, 0.98, 0.77, 0.82, 
##     0.75, 0.87, 1, 1.02, 1.23, 1.21, 1.03, 0.98, 0.72, 0.71, 
##     0.69, 0.92, 1.23, 1.35, 1.03, 0.98, 1, 0.95, 0.77, 0.8, 0.79, 
##     0.75, 0.77, 0.82, 0.75, 0.77, 0.8, 0.75, 0.69, 0.67, 0.66, 
##     0.64, 0.31, 0.16, 0.18, 0.89, 0.95, 1, 0.89, 0.84, 0.84, 
##     0.95, 1.18, 1.2, 1.12, 0.71, 0.72, 0.84, 0.82, 0.59, 0.82, 
##     0.72, 0.72, 1.02, 0.92, 0.92, 1.05, 1.07, 0.87, 0.8, 0.94, 
##     0.69, 0.79, 0.59, 0.43, 0.44, 0.46, 0.69, 0.9, 1.12, 1.38, 
##     0.8, 0.79, 0.77, 0.79, 0.67, 0.98, 0.97, 0.94, 0.85, 0.84, 
##     0.8, 0.74, 0.79, 0.61, 0.34, 0.49, 0.69, 0.36, 0.31, 0.31, 
##     0.31, 0.34, 0.44, 0.44, 0.54, 0.72, 0.79, 0.75, 0.74, 0.8, 
##     0.9, 0.85, 0.89, 0.82, 0.79, 0.79, 0.74, 0.8, 0.87, 0.87, 
##     0.72, 0.71, 0.66, 0.61, 0.67, 0.79, 0.8, 0.75, 0.71, 0.71, 
##     0.84, 0.95, 0.92, 0.9, 1.25, 1.21, 1.2, 1.05, 0.84, 0.82, 
##     0.52, 1.05, 1.18, 1.35, 1.18, 0.89, 0.74, 0.72, 0.62, 0.89, 
##     1.18, 0.71, 0.43, 0.43, 0.52, 0.61, 0.54, 0.25, 0.08, 0.13, 
##     1.05, 1.3, 1.26, 0.94, 0.79, 0.75, 0.89, 0.9, 0.92, 0.95, 
##     0.95, 0.98, 0.94, 0.92, 0.84, 0.77, 0.52, 0.54, 0.56, 0.46, 
##     0.49, 0.46, 0.41, 0.41, 0.51, 0.3, 0.07, 0.07, 0.2, 0.67, 
##     1.02, 0.84, 0.89, 0.84, 0.9, 1, 0.9, 0.74, 0.67, 0.67, 0.77, 
##     1.02, 1.03, 0.98, 0.8, 0.72, 0.97, 1.03, 1.05, 0.71, 0.71, 
##     0.79, 1.1, 1.18, 1.21, 1.23, 1.26, 1.26, 0.69, 0.18, 0.11, 
##     0.23, 0.33, 0.36, 0.94, 1.28, 1.57, 0.56, 0.36, 0.16, 0.23, 
##     0.34, 0.44, 0.8, 0.79, 1.1, 1.1, 0.71, 0.46, 0.36, 0.39, 
##     0.87, 1.15, 1.3, 1.18, 0.84, 0.79, 0.77, 0.74, 0.72, 0.72, 
##     0.67, 0.36, 0.25, 0.44, 0.34, 0.23, 0.13, 0.23, 0.71, 0.82, 
##     0.92, 0.94, 0.66, 0.79, 1.13, 0.56, 0.64, 0.97, 0.84, 0.57, 
##     0.61, 0.79, 0.85, 0.82, 0.62, 0.66, 1.02, 1.07, 1.08, 1.07, 
##     0.98, 0.84, 0.74, 0.69, 0.89, 0.67, 0.61, 0.59, 0.59, 0.85, 
##     0.9, 0.64, 0.54, 0.08, 0.23, 0.31, 0.38, 0.49, 0.56, 0.44, 
##     0.34, 0.23, 0.34, 0.9, 1.33, 1.41, 1.03, 0.89, 0.69, 0.56, 
##     0.54, 0.62, 0.77, 0.87, 0.84, 0.62, 0.61, 0.67, 0.72, 0.72, 
##     0.67, 0.69, 0.74, 0.82, 0.85, 0.9, 0.9, 0.79, 0.82, 0.87, 
##     0.94, 0.94, 0.77, 1.15, 0.92, 0.85, 0.85, 0.75, 0.84, 0.95, 
##     0.95, 0.98, 0.79, 0.51, 0.66, 0.72, 0.69, 0.57, 0.51, 0.51, 
##     0.59, 0.69, 0.74, 0.79, 0.75, 0.69, 1, 0.92, 0.75, 0.71, 
##     0.71, 0.87, 0.89, 0.87, 0.94, 0.95, 0.9, 0.72, 0.74, 0.75, 
##     0.79, 0.87, 0.92, 0.92, 0.89, 0.84, 0.82, 0.79, 0.79, 0.82, 
##     0.89, 0.98, 0.98, 0.85, 0.87, 0.77, 0.64, 0.18, 0.13, 0.15, 
##     0, -0.3, -0.28, -0.07, 0.1, 0.11, 0.25, 0.25, 0.2, 0.15, 
##     0.11, 0.03, -0.02, -0.03, -0.05, -0.07, -0.05, -0.03, 0, 
##     0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.05, 
##     -0.07, -0.05, -0.05, 0, 0, -0.02, -0.02, -0.03, -0.03, -0.05, 
##     -0.03, -0.02, -0.02, 0, 0, 0, 0.02, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0.02, 0.03, 0.05, 0.03, -0.02, -0.02, -0.02, 
##     -0.05, -0.03, -0.02, -0.02, 0, 0, 0, 0, 0, -0.02, -0.02, 
##     -0.02, -0.02, 0, 0, -0.02, 0.03, 0.02, 0, -0.02, -0.02, 0, 
##     0.02, 0.02, 0.02, 0.02, 0, 0, -0.02, -0.02, -0.02, 0, -0.02, 
##     -0.02, 0, 0, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, -0.03, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.03, 
##     -0.02, 0, -0.02, -0.02, -0.03, -0.03, 0.02, 0.02, 0, -0.03, 
##     0, 0, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     0, 0, -0.02, -0.03, -0.05, -0.02, 0.02, 0.02, -0.02, -0.05, 
##     0.08, 0.1, 0.03, 0.03, -0.05, -0.05, -0.05, -0.03, -0.03, 
##     -0.02, 0.02, 0.03, 0.1, 0.11, 0.11, 0.05, 0.05, 0.02, 0, 
##     -0.02, -0.03, -0.07, -0.07, -0.03, -0.02, 0, 0.05, 0.05, 
##     0.05, 0.03, 0.03, -0.02, -0.1, -0.07, -0.64, -0.92, -1.05, 
##     -1.03, -1, -0.82, -0.75, -0.67, -0.57, -0.54, -0.56, -0.59, 
##     -0.61, -0.61, -0.64, -0.62, -0.57, -0.48, -0.36, -0.21, -0.1, 
##     -0.13, -0.48, -0.48, -0.11, 0.39, 0.07, -0.1, -0.28, -0.31, 
##     -0.3, -0.16, 0.07, 0.38, 0.39, 0.3, 0, -0.1, -0.16, -0.21, 
##     -0.38, -0.44, -0.51, -0.59, -0.48, -0.48, -0.51, -0.57, -0.61, 
##     -0.64, -0.67, -0.66, -0.69, -0.79, -0.97, -1.02, -0.9, -0.82, 
##     -0.62, -0.48, -0.41, -0.3, -0.18, 0, 0.21, 0.39, 0.52, 0.39, 
##     -0.28, 0.03, 0.38, 0.48, 0.38, 0.28, 0.02, -0.08, -0.08, 
##     -0.03, -0.03, 0.21, 0.36, 0.38, -0.02, 0.07, 0.13, 0.16, 
##     0.18, 0.11, 0.05, -0.02, -0.11, -0.2, -0.25, -0.43, -0.71, 
##     -0.72, -0.59, -0.26, -0.39, -0.59, -0.66, -0.67, -0.49, -0.67, 
##     -0.66, -0.34, -0.26, -0.18, -0.18, -0.26, -0.21, -0.15, 0, 
##     0.05, 0.07, -0.1, 0, 0.41, 0.13, 0.03, -0.03, -0.1, -0.02, 
##     0.13, 0.21, 0.23, 0.18, 0.2, 0.18, 0.21, 0.33, 0.49, 0.21, 
##     0.21, 0.43, 0.46, 0.51, 0.44, 0.38, 0.2, 0.26, 0.25, 0.3, 
##     0.34, 0.25, 0.18, 0.38, 0.52, 0.61, 0.66, 0, -0.07, -0.07, 
##     -0.02, 0.2, 0.28, 0.34, 0.26, 0.13, -0.31, -0.36, -0.34, 
##     -0.28, -0.11, -0.07, 0.03, 0.07, 0.02, -0.05, -0.13, -0.59, 
##     -0.71, -0.75, -0.69, -0.57, -0.72, -0.85, -0.87, -0.74, -0.69, 
##     -0.66, -0.59, -0.59, -0.57, -0.62, -0.75, -0.79, -0.82, -0.84, 
##     -0.85, -0.74, -0.3, -0.21, 0.36, 0.41, 0.39, 0.38, 0.44, 
##     0.39, 0.33, 0.3, 0.48, 0.48, 0.2, 0.15, 0.07, 0.03, 0.18, 
##     0.21, 0.13, 0.07, 0.03, 0.16, 0.1, 0.2, 0.15, 0.03, -0.2, 
##     -0.28, -0.33, -0.38, -0.39, -0.38, -0.15, 0.13, 0.26, 0.33, 
##     0.38, 0.39, 0.36, 0.16, -0.13, -0.28, -0.31, -0.33, -0.46, 
##     -0.56, -0.57, -0.64, -0.74, -0.98, -1.05, -0.87, -0.72, -0.71, 
##     -0.71, -0.62, -0.49, -0.43, -0.33, -0.2, 0, -0.02, -0.25, 
##     -0.28, -0.21, -0.11, 0.18, 0.21, 0.25, 0.25, 0.18, 0.11, 
##     0.1, 0.39, 0.41, 0.16, 0.05, 0.03, 0.05, 0.23, 0.26, 0.13, 
##     0.02, -0.23, -0.21, -0.07, 0.02, 0.07, 0.1, 0.08, -0.11, 
##     -0.23, -0.36, -0.56, -0.64, -0.71, -0.72, -0.62, -0.49, -0.51, 
##     -0.54, -0.66, -0.95, -1.13, -0.97, -0.87, -0.84, -0.82, -0.8, 
##     -0.77, -0.62, -0.51, -0.28, 0.57, 0.2, 0, -0.13, 0.16, 0.44, 
##     0.25, 0.2, 0.28, 0.28, 0.41, 0.38, 0.34, 0.41, 0.51, 0.72, 
##     0.62, 0.44, 0.3, 0.13, 0.1, 0.2, 0.3, 0.61, 0.71, 0.74, 0.33, 
##     0.1, -0.11, -0.62, -0.72, -0.54, -0.15, 0.18, 0.34, 0.36, 
##     0.11, -0.03, -0.21, -0.64, -0.8, -1.05, -1.05, -0.95, -0.84, 
##     -0.56, -0.3, -0.48, -0.77, -1.07, -1, -0.74, -0.48, -0.36, 
##     -0.31, -0.26, -0.2, 0.23, 0.48, 0.67, 0.77, 0.11, 0.02, 0.1, 
##     0.25, 0.31, 0.3, 0.23, 0.15, 0.23, 0.34, 0.2, 0.23, 0.25, 
##     0.15, 0.2, 0.15, 0.38, 0.44, 0.02, -0.13, -0.16, -0.08, -0.02, 
##     -0.05, 0.31, 0.28, 0.05, -0.15, -0.54, -0.66, -0.72, -0.72, 
##     -0.67, -0.71, -0.59, -0.56, -0.51, -0.46, -0.46, -0.39, -0.33, 
##     -0.26, -0.23, -0.18, 0, 0.07, 0.2, 0.38, 0.61, 0.51, 0.39, 
##     0.28, 0.16, 0.08, 0.28, -0.02, -0.02, 0.1, 0.11, 0.1, 0, 
##     -0.05, 0, 0.07, -0.23, -0.28, -0.13, 0.28, 0.08, 0, -0.08, 
##     -0.1, -0.07, -0.02, 0.11, -0.02, -0.07, -0.16, -0.15, -0.11, 
##     -0.05, -0.02, 0.03, 0.03, 0, 0.02, 0.02, 0.03, 0.03, -0.15, 
##     -0.2, -0.25, -0.26, 0.3, 0.43, 0.34, 0, -0.26, -0.23, 0.02, 
##     0.13, 0.23, 0.26, 0.05, -0.28, -0.3, -0.28, -0.08, 0.07, 
##     0.28, 0.33, 0.15, 0.05, -0.18, -0.21, -0.2, -0.13, -0.03, 
##     0.05, 0.1, 0.08, -0.05, -0.13, -0.25, -0.33, -0.26, -0.3, 
##     -0.15, -0.07, 0.31, 0.34, 0.26, -0.1, -0.21, -0.31, -0.25, 
##     -0.13, 0.05, 0.15, 0.13, 0.07, 0.02, -0.03, -0.07, -0.07, 
##     -0.03, -0.03, 0, 0.02, 0.03, 0, -0.02, -0.03, 0, 0, -0.02, 
##     -0.03, -0.03, -0.07, -0.08, -0.02, 0, 0.02, 0.03, 0.02, 0.02, 
##     0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, -0.02, -0.03, 0, 0.03, 
##     0.03, 0.02, 0, -0.02, -0.07, -0.05, -0.03, -0.02, 0, 0.02, 
##     0.02, 0.03, 0.02, -0.05, -0.05, -0.03, -0.02, 0, -0.02, 0, 
##     0.03, 0.07, 0.07, 0.03, -0.05, -0.03, -0.02, 0, 0.03, -0.02, 
##     -0.07, -0.1, -0.1, -0.1, -0.08, -0.02, 0.02, 0.03, 0.08, 
##     0.11, 0.08, 0.05, 0.05, 0.02, 0, 0, 0.02, 0.02, 0.02, -0.05, 
##     -0.05, 0.05, 0.02, 0, 0.03, 0.07, 0.02, 0, 0, 0.02, 0.05, 
##     0.05, -0.03, -0.03, -0.08, -0.08, -0.08, -0.07, 0.07, 0.05, 
##     0.03, -0.11, -0.08, -0.05, -0.02, 0, 0.02, -0.03, -0.05, 
##     -0.05, -0.03, 0, 0.03, -0.02, -0.02, -0.02, 0, 0, -0.02, 
##     -0.05, -0.03, 0, -0.02, -0.02, -0.02, -0.02, -0.05, -0.05, 
##     0.03, 0.03, 0.03, 0, 0, 0, 0, -0.02, -0.03, 0.02, 0.02, 0.02, 
##     0, 0, -0.03, -0.03, -0.03, 0.03, -0.02, -0.02, -0.03, 0, 
##     -0.02, -0.02, 0, 0, -0.02, 0, 0, -0.05, -0.05, -0.03, -0.02, 
##     -0.02, 0, 0.02, -0.02, 0, -0.08, -0.02, 0.05, -0.02, -0.02, 
##     0, 0, -0.13, -0.15, -0.08, -0.03, 0.05, 0.1, 0.13, 0.07, 
##     0, -0.05, -0.08, -0.08, -0.08, 0.02, 0.07, -0.03, -0.02, 
##     0, 0.02, -0.13, -0.2, -0.18, -0.13, -0.08, -0.25, -0.38, 
##     -0.48, -0.33, -0.13, -0.07, 0.02, 0.13, -0.39, -0.48, -0.62, 
##     -0.52, -0.39, -0.08, 0.18, 0.25, 0.23, 0.05, 0, -0.03, -0.05, 
##     -0.08, -0.11, -0.18, -0.18, 0.1, 0.25, 0.31, 0.25, 0.13, 
##     0.02, -0.11, -0.18, -0.11, 0, 0.05, 0.07, -0.07, -0.08, -0.11, 
##     0.02, 0.03, 0, -0.05, -0.05, -0.07, -0.03, -0.03, -0.02, 
##     -0.02, -0.03, -0.05, -0.13, -0.07, 0.07, 0.03, 0, -0.07, 
##     -0.05, -0.02, -0.02, 0, 0, -0.03, -0.13, 0, -0.02, -0.02, 
##     -0.03, -0.03, -0.03, -0.05, -0.02, -0.03, -0.03, -0.02, -0.02, 
##     0, 0, 0.02, 0, -0.05, -0.07, -0.07, -0.02, -0.03, -0.08, 
##     0.02, -0.02, -0.03, 0, -0.02, -0.03, 0.02, -0.02, -0.02, 
##     -0.03, -0.02, -0.02, 0, 0, -0.02, -0.02, 0, 0, 0, 0, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0, 0.03, 0.02, 0.02, -0.02, 0, 0.02, 0.02, 
##     0, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, 0, -0.02, 
##     -0.03, -0.03, -0.02, 0, 0, -0.02, -0.03, -0.03, -0.03, -0.02, 
##     0, -0.02, 0, -0.02, -0.02, 0, 0.02, 0, 0, -0.02, -0.03, -0.02, 
##     -0.02, 0, 0, -0.02, -0.03, -0.03, -0.02, 0, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.03, -0.02, -0.02, 0, -0.02, 
##     0.02, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.03, 
##     -0.03, -0.03, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
##     -0.02, 0, 0, 0, 0, -0.03, -0.02, -0.02, -0.02, -0.02, 0, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, 0, 
##     0, -0.02, -0.03, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0.02, 0.03, 0.03, 0.03, 0.05, 0.05, 0.03, 0.03, -0.03, 
##     -0.05, -0.03, -0.02, 0.02, 0.02, 0, -0.02, -0.03, 0, 0, 0, 
##     0, 0, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0, 0, 0, 0.02, 
##     0, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, 
##     -0.03, -0.02, -0.03, -0.03, -0.03, -0.02, 0, -0.03, -0.03, 
##     -0.05, -0.07, -0.03, -0.03, -0.02, -0.03, -0.07, -0.07, -0.03, 
##     -0.03, -0.02, -0.02, 0, 0, 0.02, 0, -0.02, -0.05, -0.03, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 
##     0, 0, 0, 0, -0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, -0.03, 
##     -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.02, -0.03, -0.05, -0.05, -0.02, -0.02, 0, -0.02, 0, 0, 
##     -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, 0, -0.02, -0.03, -0.02, 0.03, 0.02, 
##     -0.05, -0.08, -0.07, -0.05, -0.02, 0, -0.02, -0.25, -0.28, 
##     -0.38, -0.38, -0.39, -0.39, -0.41, -0.54, -0.54, -0.54, -0.56, 
##     -0.57, -0.48, -0.46, -0.52, -0.44, -0.54, -0.49, -0.38, -0.31, 
##     -0.21, -0.15, -0.13, -0.02, 0.15, 0.2, 0.21, 0.16, 0.1, 0.02, 
##     0.07, 0.11, 0.31, 0.33, 0.44, 0.48, 0.38, 0.23, -0.07, 0, 
##     0.05, 0.1, 0.25, 0.49, 0.9, 0.89, 0.59, 0.56, 0.38, 0.16, 
##     0.02, 0.41, 0.43, 0.26, 0.15, 0.1, 0.26, 0.21, 0.25, 0.38, 
##     0.36, 0.43, 0.08, 0.15, 0.31, 0.38, 0.39, 0.2, 0.2, 0.25, 
##     0.36, 0.54, 0.33, 0.18, 0.03, -0.08, -0.2, -0.23, -0.25, 
##     -0.28, -0.51, -0.71, -0.52, -0.1, 0.07, -0.03, -0.21, -0.39, 
##     -0.61, -0.56, -0.67, -0.79, -0.72, -0.39, -0.46, -0.52, -0.49, 
##     -0.52, -0.43, -0.26, 0, 0.1, 0.13, 0.1, -0.21, -0.38, -0.49, 
##     -0.13, 0.08, 0.26, 0.43, 0.54, 0.64, 0.66, 0.52, 0.28, 0.38, 
##     0.43, 0.57, 0.56, 0.41, 0.16, 0.39, 0.43, 0.05, 0.07, 0.25, 
##     0.26, -0.26, -0.33, -0.13, 0.02, 0.07, -0.16, -0.3, 0.48, 
##     0.64, 0.61, 0.25, 0.08, 0, 0.57, 0.97, 0.49, 0.33, 0.25, 
##     0.48, 0.49, 0.34, 0.28, 0.21, 0.16, 0.03, -0.03, -0.11, -0.2, 
##     -0.3, -0.52, -0.34, -0.23, 1.02, 1.1, 0.75, 0.46, 0.18, -0.44, 
##     -0.59, -0.67, -0.71, -0.49, -0.11, 0, 0.07, 0.1, 0.13, 0.13, 
##     0.25, 0.07, -0.08, -0.23, -0.51, -0.51, -0.44, -0.38, -0.41, 
##     -0.51, -0.54, -0.54, -0.52, -0.59, -0.72, -0.39, 0.1, 0.66, 
##     0.82, 0.8, 0.66, 0.02, -0.13, -0.15, 0.1, 0.67, 0.77, 0.67, 
##     0.56, 0.46, 0.41, 0.33, 0.28, 0.25, 0.2, 0.26, 0.26, 0.21, 
##     0.07, -0.26, -0.34, -0.16, -0.11, -0.07, -0.1, -0.2, -0.28, 
##     -0.34, -0.23, -0.18, -0.11, -0.02, 0.15, 0.33, 0.84, 0.62, 
##     -0.75, -1, -0.9, -0.44, -0.1, 0.1, -0.07, -0.15, -0.21, -0.28, 
##     -0.3, -0.31, -0.36, -0.43, -0.52, -1, -0.98, -0.2, -0.15, 
##     -0.15, -0.43, -0.54, -0.49, -0.16, 0.1, 0.28, 0.46, 0.48, 
##     -0.13, -0.21, 0.72, 0.98, 1.05, 0.25, 0.08, 0.16, 0.28, 0.44, 
##     0.43, 0.26, 0.02, -0.33, -0.43, -0.3, 0.08, 0.1, 0.02, -0.16, 
##     -0.07, 0.3, 0.33, 0.33, 0.38, 0.36, -0.08, -0.21, -0.18, 
##     -0.15, -0.13, -0.23, -0.28, -0.33, -0.28, 0.07, 0.1, -0.16, 
##     -0.3, -0.36, -0.08, -0.23, -0.33, -0.43, -0.69, -0.67, -0.59, 
##     -0.21, -0.05, 0.1, -0.39, -0.56, -0.46, 0.41, 0.82, 1.12, 
##     0.25, -0.28, -0.26, -0.11, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     0, 0.03, -0.07, -0.08, -0.03, -0.07, -0.08, -0.1, -0.1, -0.08, 
##     -0.07, -0.03, -0.02, 0.02, 0.02, -0.02, -0.03, 0.02, -0.28, 
##     -0.3, 0.07, 0.03, -0.05, -0.02, 0.02, 0.07, 0.15, 0.15, 0.1, 
##     0.08, 0.07, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 
##     0, 0.05, 0.1, 0.08, 0.03, 0.02, -0.02, -0.05, 0.02, 0.03, 
##     0.02, 0, 0, 0, 0.03, -0.03, -0.05, 0.02, 0.07, 0.08, 0.05, 
##     -0.03, -0.02, 0.03, 0.07, 0.07, 0, -0.07, -0.11, -0.13, -0.13, 
##     0.02, 0.03, 0.03, 0, -0.05, -0.1, -0.11, 0, 0.02, 0.03, -0.05, 
##     -0.07, -0.03, 0.1, 0.13, -0.05, -0.13, -0.16, 0, -0.02, -0.07, 
##     -0.11, -0.13, -0.11, -0.07, 0.1, 0.1, -0.03, 0.07, 0.07, 
##     -0.03, -0.08, -0.15, -0.18, -0.15, -0.11, 0.08, 0.08, 0.08, 
##     0.05, 0, -0.07, -0.1, -0.02, 0.13, 0.02, -0.05, -0.08, 0.05, 
##     0.08, 0.07, -0.1, -0.13, -0.13, 0.08, -0.08, -0.03, 0.07, 
##     0.03, 0, -0.03, -0.05, -0.02, 0, -0.02, -0.05, -0.03, 0.02, 
##     0.02, 0, -0.02, 0, 0, 0, -0.03, -0.07, 0.02, 0.03, 0.03, 
##     -0.05, -0.07, 0.02, 0.02, -0.02, -0.02, -0.02, -0.1, -0.05, 
##     -0.02, 0.02, 0.05, 0.07, 0.03, 0, -0.02, -0.03, -0.03, 0.02, 
##     0.03, 0.02, 0, 0.02, -0.02, -0.05, -0.07, -0.03, -0.03, 0, 
##     -0.02, -0.02, -0.03, -0.07, -0.07, -0.03, 0.05, 0.03, 0.03, 
##     0, -0.03, 0, 0.03, -0.05, -0.05, -0.03, 0.02, 0.03, 0.02, 
##     0, -0.03, -0.03, -0.03, 0.02, 0.03, 0.02, -0.02, -0.02, -0.02, 
##     0, 0.02, 0.02, 0, -0.02, -0.03, 0.03, -0.02, -0.15, -0.11, 
##     -0.03, 0.02, 0.02, 0.02, 0, -0.05, -0.1, -0.15, -0.1, -0.03, 
##     0.16, 0.02, -0.05, -0.05, 0.05, 0.07, 0.02, -0.08, -0.1, 
##     0, 0.02, 0, 0.02, -0.02, -0.07, -0.11, -0.08, -0.03, 0.08, 
##     0.07, 0.02, -0.02, -0.03, -0.05, 0.08, 0.15, 0.21, 0.23, 
##     0.25, 0.18, 0.1, 0.11, 0.16, 0.13, 0.1, 0.02, -0.07, -0.13, 
##     -0.18, -0.08, -0.02, 0, 0.03, 0.03, 0.02, -0.05, -0.03, -0.02, 
##     0, 0.02, 0.02, 0.02, 0.02, -0.02, -0.03, -0.03, -0.03, 0.08, 
##     0.11, 0.11, 0.1, 0.05, -0.03, -0.15, 0.03, -0.08, -0.08, 
##     -0.07, -0.05, -0.07, -0.07, -0.08, -0.2, -0.16, -0.13, -0.07, 
##     0.02, 0.05, 0.07, 0.05, 0.03, -0.02, -0.08, -0.1, -0.11, 
##     -0.11, -0.1, -0.08, -0.02, -0.02, -0.07, -0.03, -0.02, 0, 
##     0, -0.05, -0.03, -0.03, -0.03, -0.08, -0.13, -0.16, -0.18, 
##     -0.21, -0.38, -0.44, -0.49, 0.2, 0.16, -0.05, -0.13, -0.2, 
##     -0.16, -0.05, 0.02, 0.05, 0.02, -0.02, -0.08, -0.05, 0, 0.02, 
##     -0.02, -0.02, -0.03, 0.05, 0.03, 0.02, 0.02, 0.03, 0.03, 
##     0.05, -0.02, 0, -0.05, -0.03, -0.03, -0.02, -0.02, -0.05, 
##     -0.02, -0.02, -0.03, -0.05, -0.07, -0.07, 0.02, 0.05, 0, 
##     -0.02, -0.07, -0.08, -0.07, 0, 0.03, -0.03, -0.02, -0.02, 
##     0, -0.02, -0.03, -0.07, -0.1, -0.05, -0.03, -0.02, -0.02, 
##     -0.03, -0.02, -0.05, -0.03, -0.02, 0.03, 0.07, 0.05, -0.23, 
##     -0.51, -0.66, -0.77, -1.05, -0.54, -0.49, -0.62, -0.69, -0.61, 
##     -0.59, -0.43, -0.33, -0.67, -0.62, -0.54, -0.57, -0.62, -0.57, 
##     -0.56, -0.43, -0.25, -0.03, 0.07, -0.13, -0.21, -0.11, 0.05, 
##     0.23, 0.36, 0.44, 0.69, 0.77, 0.44, 0.28, 0.43, 0.57, 0.57, 
##     0.84, 0.72, 0.62, 0.49, 0.43, 0.28, 0.23, -0.05, -0.16, -0.3, 
##     -0.28, -0.31, -0.33, -0.25, -0.26, -0.33, -0.64, -0.8, -0.92, 
##     -0.9, -0.84, -0.84, -0.84, -0.79, -0.69, -0.69, -0.43, -0.3, 
##     -0.2, -0.23, -0.25, -0.38, -0.54, -0.84, -0.54, -0.33, -0.3, 
##     0.05, 0.26, 0.41, 0.44, 0.49, 0.59, 0.57, 0.57, 0.54, 0.56, 
##     0.52, 0.48, 0.49, 0.56, 0.46, 0.33, 0.75, 0.87, 0.84, 0.54, 
##     0.87, 1.1, 1.2, 0.75, 0.48, 0.21, 0.16, -0.26, -0.46, -0.39, 
##     -0.23, -0.18, -0.72, -0.92, -0.97, -0.89, -0.72, -0.79, -0.84, 
##     -0.84, -0.87, -0.82, -0.56, -0.44, -0.87, -0.67, -0.48, -0.34, 
##     -0.39, -0.26, -0.02, 0.2, 0.39, 0.49, 0.61, 0.41, 0.39, 0.25, 
##     0.34, 0.38, 0.48, 0.61, 0.61, 0.67, 1.51, 1.33, 1.07, 1.07, 
##     0.28, -0.05, 0.02, -0.46, -0.57, -0.71, -0.8, -0.84, -0.75, 
##     -0.67, -0.49, -0.44, -0.54, -0.57, -0.61, -0.71, -0.8, -0.75, 
##     -0.89, -0.89, -0.74, -0.72, -0.74, -0.71, -0.82, -0.8, -0.64, 
##     -0.44, -0.25, -0.1, -0.08, -0.08, -0.05, 0.03, 0.28, 0.26, 
##     0.23, 0.11, 0.2, 0.34, 0.44, 0.44, 0.2, 0.71, 0.79, 1.1, 
##     1.21, 1.15, 0.95, 0.84, 0.97, 0.94, 0.8, 0.46, 0.26, 0.07, 
##     -0.15, -0.3, -0.28, -0.26, -0.49, -0.54, -0.49, -0.43, -0.44, 
##     -0.44, -0.41, -0.44, -0.44, -0.46, -0.49, -0.51, -0.54, -0.49, 
##     -0.52, -0.57, -0.85, -0.8, -0.87, -0.82, -0.8, -0.75, 0.11, 
##     0.02, -0.31, -0.36, -0.05, 0.16, 0.69, 0.59, 0.05, -0.05, 
##     -0.07, 0.28, 1.46, 1.66, 1.1, 0.92, -0.07, -0.08, -0.03, 
##     -0.1, -0.39, -0.43, -0.41, -0.43, -0.41, -0.44, -0.44, -0.43, 
##     -0.51, -0.66, -0.79, -0.72, -0.64, -0.59, -0.56, -0.54, -0.54, 
##     -0.51, -0.46, -0.39, -0.52, -0.52, -0.13, 0.36, 0.39, 0.34, 
##     0.21, -0.54, -0.33, -0.2, 0.25, 0.34, 0.56, 0.66, 0.36, 0.18, 
##     0.31, 0.49, 0.61, 0.82, 1.07, 1.16, 1.13, 1.28, 1.26, 1.15, 
##     0.62, 0.18, -0.66, -0.84, -0.75, -0.46, -0.13, -0.26, -0.38, 
##     -0.56, -0.59, -0.61, -0.62, -0.62, -0.62, -0.57, -0.54, -0.51, 
##     -0.49, -0.44, -0.57, -0.52, -0.36, -0.13, -0.02, 0.05, 0.05, 
##     -0.05, -0.3, -0.36, -0.36, -0.33, -0.3, -0.1, 0.15, 0.38, 
##     0.54, 0.71, 0.23, 0.18, 0.15, 0.15, 0.18, 0.34, 0.61, 0.61, 
##     0.77, 0.71, 0.03, -0.21, -0.23, -0.21, -0.16, -0.08, -0.13, 
##     -0.28, -0.3, -0.44, -0.89, -0.89, -0.67, -0.54, -0.75, -0.8, 
##     -0.71, -0.69, -0.67, -0.18, 0.16, 0.69, 0.67, 0.54, -0.1, 
##     -0.36, -0.44, -0.13, -0.03, 0.03, 0.03, 0.03, 0.05, -0.07, 
##     -0.1, -0.13, -0.11, -0.11, -0.1, -0.07, -0.03, -0.02, -0.02, 
##     -0.02, -0.03, -0.07, -0.08, -0.03, -0.05, -0.05, -0.05, -0.07, 
##     -0.11, -0.15, -0.1, -0.07, -0.11, 0.05, 0.34, 0.52, 0.49, 
##     0.28, 0.26, 0.28, 0.3, 0.15, -0.38, -0.71, -0.62, -0.52, 
##     -0.39, -0.3, -0.26, -0.21, -0.13, 0, 0.1, 0.18, 0.49, 0.61, 
##     0.64, 0.56, 0.66, 0.69, 0.94, 0.97, 0.52, 0.59, 0.8, 1, 1.03, 
##     0.54, 0.66, 0.89, 0.87, 0.75, 0.64, 0.57, 0.66, 0.94, 1.03, 
##     1.05, 0.89, 0.77, 0.87, 0.92, 0.94, 0.79, 0.71, 0.56, 0.59, 
##     0.54, 0.51, 0.44, 0.39, 0.43, 0.95, 1.13, 0.94, 0.64, 0.62, 
##     0.61, 0.69, 0.67, 0.69, 0.67, 0.69, 0.71, 0.74, 0.89, 1.02, 
##     1.12, 1.1, 1.16, 1.08, 0.97, 0.05, -0.02, -0.02, 0.39, 0.49, 
##     0.61, 0.64, 0.46, 0.49, 0.62, 0.75, 0.79, 0.72, 0.57, 0.31, 
##     0.49, 0.57, 0.72, 0.69, 0.64, 0.85, 0.69, 0.66, 0.59, 0.52, 
##     0.52, 0.49, 0.56, 0.62, 0.69, 0.75, 0.75, 0.72, 0.51, 0.38, 
##     0.67, 0.62, 0.15, -0.1, 0.08, 0.31, 0.66, 0.9, 0.95, 1.23, 
##     1.03, 1.13, 1.16, 1.2, 0.77, 0.82, 0.82, 0.49, 0.41, 0.54, 
##     1.41, 1.2, 0.85, 0.69, 0.62, 0.3, 1.1, 1.02, 0.85, 0.84, 
##     0.8, 0.77, 0.74, 0.74, 0.75, 0.77, 0.77, 0.77, 0.77, 0.8, 
##     0.8, 0.85, 0.84, 0.77, 0.75, 0.75, 0.82, 0.87, 0.87, 0.85, 
##     0.89, 0.97, 0.97, -0.69, -0.59, -0.02, 0.36, 0.54, 0.51, 
##     0.46, 0.59, 0.77, 0.9, 1.12, 1.23, 0.74, 0.75, 0.77, 0.79, 
##     0.87, 0.9, 0.92, 0.92, 0.89, 0.84, 0.8, 0.84, 0.85, 0.89, 
##     0.95, 0.94, 0.87, 0.82, 0.74, 0.62, 0.61, 0.61, 0.57, 0.56, 
##     0.52, 0.51, 0.97, 0.98, 0.98, 1.1, 0.64, 0.74, 0.77, 1.05, 
##     1.1, 1.12, 0.71, 0.66, 0.64, 0.64, 0.69, 0.72, 0.74, 0.8, 
##     0.79, 0.75, 0.74, 0.8, 0.79, 0.74, 0.74, 0.74, 0.75, 0.8, 
##     0.8, 0.79, 0.77, 0.77, 0.77, 0.77, 0.79, 0.8, 0.8, 0.79, 
##     0.79, 0.77, 0.79, 0.79, 0.8, 0.8, 0.79, 0.77, 0.77, 0.77, 
##     0.77, 0.79, 0.77, 0.75, 0.77, 0.79, 0.79, 0.79, 0.8, 0.79, 
##     0.79, 0.79, 0.82, 0.82, 0.8, 0.79, 0.79, 0.77, 0.79, 0.8, 
##     0.8, 0.8, 0.8, 0.8, 0.82, 0.85, 0.84, 0.82, 0.77, 0.75, 0.74, 
##     0.72, 0.74, 0.74, 0.75, 0.75, 0.77, 0.79, 0.8, 0.8, 0.8, 
##     0.8, 0.77, 0.75, 0.77, 0.77, 0.79, 0.77, 0.77, 0.69, 0.8, 
##     0.84, 0.79, 0.75, 0.75, 0.75, 0.79, 0.8, 0.82, 0.82, 0.84, 
##     0.84, 0.8, 0.8, 0.8, 0.79, 0.77, 0.79, 0.75, 0.75, 0.75, 
##     0.79, 0.77, 0.72, 0.72, 0.71, 0.72, 0.75, 0.85, 0.87, 0.79, 
##     0.87, 0.89, 0.92, 0.95, 0.97, 1, 1.03, 1.05, 1.05, 1.03, 
##     1.02, 1.02, 0.97, 0.77, 0.71, 0.79, 0.79, 0.79, 0.79, 0.77, 
##     0.8, 0.82, 0.8, 0.77, 0.77, 0.79, 0.79, 0.75, 0.74, 0.72, 
##     0.69, 0.67, 0.71, 0.75, 0.79, 0.77, 0.77, 0.77, 0.77, 0.75, 
##     0.74, 0.72, 0.75, 0.8, 0.8, 0.85, 1, 1.05, 1.07, 1.05, 0.82, 
##     0.8, 0.8, 0.85, 0.82, 0.82, 0.8, 0.79, 0.77, 0.72, 0.61, 
##     0.59, 0.72, 0.75, 0.75, 0.74, 0.71, 0.71, 0.59, 0.52, 0.69, 
##     0.79, 1.03, 1.1, 1.15, 1.03, 0.98, 0.92, 0.8, 0.75, 0.79, 
##     0.75, 0.75, 0.79, 0.84, 0.92, 0.94, 0.94, 0.94, 0.85, 0.8, 
##     0.8, 0.8, 0.8, 0.8, 0.82, 0.8, 0.8, 0.8, 0.79, 0.79, 0.75, 
##     0.74, 0.75, 0.77, 0.77, 0.82, 0.8, 0.82, 0.84, 0.85, 0.98, 
##     1.03, 0.26, 0.05, 0.05, 0.07, 0.11, 0.41, 0.39, 0.33, 0.31, 
##     0.38, 1.02, 1.1, 1.02, 0.89, 0.54, 0.61, 0.82, 0.94, 0.9, 
##     0.79, 0.74, 0.67, 0.61, 0.74, 0.8, 0.8, 0.79, 0.75, 0.75, 
##     0.77, 0.82, 0.84, 0.84, 0.84, 0.84, 0.84, 0.82, 0.8, 0.8, 
##     0.79, 0.77, 0.61, 0.56, 0.54, 0.52, 0.51, 0.54, 0.57, 0.64, 
##     0.75, 0.71, 0.62, 0.59, 0.59, 0.61, 0.66, 0.82, 0.89, 0.92, 
##     0.94, 0.94, 0.9, 0.87, 0.82, 0.79, 0.8, 0.84, 0.87, 0.89, 
##     0.89, 0.9, 0.9, 0.89, 0.84, 0.87, 0.85, 0.75, 0.82, 0.84, 
##     0.94, 0.92, 0.9, 0.89, 0.85, 0.92, 0.94, 1, 1.03, 1.02, 1.02, 
##     0.94, 0.82, 0.8, 0.85, 0.85, 0.95, 0.64, 0.61, 0.64, 0.9, 
##     1, 1.15, 1.26, 0.48, 1, 1.2, 1.23, 0.69, 0.34, 0.11, -0.03, 
##     0, 0.23, 0.46, 1.02, 0.94, 0.92, 0.92, 0.95, 1.18, 1.21, 
##     1.12, 0.9, 0.8, 0.72, 0.62, 0.66, 0.69, 0.79, 0.82, 0.82, 
##     0.82, 0.82, 0.8, 0.75, 0.75, 0.79, 0.8, 0.79, 0.79, 0.79, 
##     0.82, 0.82, 0.84, 1.49, 0.97, 0.71, 0.2, 0.34, 0.57, 0.79, 
##     1, 0.8, 0.62, 0.46, 0.41, 0.46, 0.56, 0.67, 0.84, 1.2, 0.97, 
##     0.61, 0.94, 0.94, 0.71, 0.85, 0.74, 0.77, 0.95, 1.26, 1.43, 
##     1.16, 0.98, 0.82, 0.61, 0.62, 0.72, 0.84, 0.66, 0.57, 0.48, 
##     0.38, 0.31, 0.34, 0.71, 1.16, 1.74, 1.26, 1.13, 1.23, 1.02, 
##     0.82, 0.59, 0.72, 0.69, 0.36, 0.23, 0.25, 0.34, 0.49, 0.64, 
##     0.72, 0.82, 0.9, 1.02, 1.03, 0.44, 0.51, 0.67, 1.15, 1.02, 
##     0.85, 0.79, 0.75, 0.85, 1, 1.26, 1.39, 1.54, 1.49, 0.52, 
##     0.38, 0.33, 0.57, 0.74, 0.85, 1.02, 0.82, 0.46, 0.25, 0.3, 
##     0.62, 0.08, 0, 0.66, 1.18, 1.35, 1.56, 1.41, 1.33, 1.1, 0.62, 
##     0.54, 0.61, 0.64, 0.67, 0.8, 0.95, 1.02, 0.61, 0.46, 0.51, 
##     0.72, 0.95, 1.25, 1.07, 0.92, 0.39, 0.46, 0.41, 0.74, 0.71, 
##     0.64, 0.62, 1.05, 0.9, 0.85, 0.33, 0.44, 0.49, 0.62, 0.79, 
##     1.07, 1.13, 1.02, 0.89, 0.87, 1.21, 1.18, 0.92, 0.69, 0.59, 
##     0.71, 0.79, 1.1, 0.41, 0.56, 0.69, 0.89, 0.95, 0.51, 0.9, 
##     1.18, 0.87, 0.82, 0.79, 0.8, 0.82, 0.97, 1.08, 1.12, 1.1, 
##     0.8, 0.64, 0.69, 0.71, 0.74, 0.77, 0.8, 0.84, 0.79, 0.82, 
##     0.75, 0.69, 0.9, 0.56, 0.52, 0.74, 0.77, 0.82, 0.77, 0.69, 
##     0.51, 0.52, 0.94, 0.9, 0.8, 0.77, 0.9, 1.16, 1.25, 1.46, 
##     1.62, 1.77, 0.67, 0.75, 1.02, 0.8, 0.79, 0.75, 0.98, 1.1, 
##     1, 0.82, 0.59, 0.34, -0.02, 0.03, 0.31, 0.49, 0.79, 0.77, 
##     0.79, 0.8, 0.8, 0.82, 0.84, 0.84, 0.85, 0.9, 0.97, 1.07, 
##     1.2, 1.2, 1.15, 1.12, 0.97, 0.67, 0.67, 0.79, 0.92, 0.87, 
##     0.75, 0.61, 0.52, 0.61, 0.46, 0.36, 0.36, 0.28, 0.26, 0.23, 
##     0.51, 0.72, 1.18, 1.3, 1.05, 0.67, 0.51, 0.52, 0.59, 0.69, 
##     0.98, 1.1, 1.12, 1.05, 0.8, 0.69, 0.57, 0.51, 0.41, 0.46, 
##     0.56, 0.56, 0.61, 0.64, 0.89, 1.56, 1.69, 1.71, 1.21, 0.94, 
##     0.64, 0.28, 0.41, 0.54, 0.82, 1.1, 1.25, 0.98, 0.84, 0.67, 
##     0.59, 0.71, 1.05, 0.77, 0.66, 0.66, 0.75, 0.38, 0.33, 0.36, 
##     0.51, 0.75, 0.82, 0.84, 0.75, 0.69, 0.64, 0.57, 0.59, 0.64, 
##     0.74, 0.82, 0.82, 0.95, 0.98, 1.15, 0.92, 0.31, 0.11, 0.89, 
##     0.87, 0.57, 0.26, 0.21, 0.33, 0.52, 1.02, 1.31, 1.71, 1.77, 
##     1.74, 1.28, 1.02, 0.52, 0.39, 0.46, 0.64, 0.84, 1.15, 1.64, 
##     1.67, 0.41, 0.23, 0.16, 0.67, 0.67, 0.9, 1.02, 1.03, 1.13, 
##     0.9, 0.69, 0.54, 0.62, 0.9, 0.87, 0.79, 0.75, 0.59, 0.82, 
##     0.9, 0.92, 0.79, 0.61, 0.57, 0.74, 0.82, 0.95, 0.98, 0.71, 
##     0.8, 0.94, 0.87, 0.8, 0.67, 0.69, 0.62, 0.57, 0.56, 0.62, 
##     0.64, 0.66, 0.66, 0.2, 0.34, 0.66, 0.82, 0.94, 0.98, 0.92, 
##     0.87, 0.92, 0.98, 0.87, 0.9, 0.85, 0.77, 0.84, 0.84, 0.74, 
##     0.66, 0.84, 0.92, 0.64, 0.64, 0.98, 0.72, 0.8, 0.89, 0.9, 
##     0.84, 0.82, 0.79, 0.79, 0.8, 0.84, 0.85, 0.79, 0.74, 0.8, 
##     0.85, 0.84, 1.02, 0.89, 0.85, 0.9, 0.8, 0.61, 0.77, 0.97, 
##     1.18, 1.36, 1.38, 1.23, 0.64, 0.61, 0.74, 1.03, 1.08, 0.92, 
##     0.87, 0.94, 0.82, 0.79, 0.79, 0.77, 0.79, 1.05, 0.31, 0.21, 
##     0.28, 0.38, 0.49, 0.59, 0.64, 0.72, 0.85, 0.71, 1, 1.03, 
##     1.07, 1.08, 1.05, 0.9, 0.87, 0.9, 1, 1, 0.9, 0.15, 0.57, 
##     0.98, 1.2, 1.25, 1.07, 0.87, 0.79, 0.61, 0.41, 0.31, 0.33, 
##     0.38, 0.72, 0.95, 0.92, 0.79, 0.61, 0.52, 0.39, 0.41, 0.64, 
##     0.74, 0.84, 0.89, 0.89, 0.92, 0.9, 0.87, 0.92, 0.9, 0.95, 
##     0.95, 0.92, 0.85, 0.77, 0.74, 0.72, 0.69, 0.69, 0.71, 0.82, 
##     0.87, 0.89, 0.77, 0.77, 0.77, 0.75, 0.75, 0.77, 0.79, 0.8, 
##     0.8, 1.05, 1.07, 1.02, 0.87, 0.82, 0.79, 0.74, 0.75, 0.98, 
##     1.05, 1.36, 1.28, 1.16, 0.31, 0.11, 0.18, 0.25, 0.49, 0.69, 
##     0.64, 0.38, 0.69, 0.64, 0.61, 0.56, 0.54, 0.59, 0.92, 0.85, 
##     0.82, 0.82, 0.87, 0.87, 0.85, 0.82, 0.8, 0.79, 0.77, 1.2, 
##     1.33, 1.28, 1.26, 1.08, 0.95, 0.61, 0.56, 0.54, 0.62, 0.77, 
##     0.77, 0.82, 0.82, 0.75, 0.64, 0.62, 0.62, 0.02, -0.02, -0.02, 
##     -0.02, 0, 0, -0.07, 0.03, 0.05, 0.08, 0.08, 0.05, 0.02, 0, 
##     -0.02, -0.02, -0.02, 0, 0, -0.02, -0.03, -0.05, -0.05, 0, 
##     -0.03, -0.07, -0.08, -0.1, -0.08, -0.07, -0.03, 0.03, 0.07, 
##     0.02, -0.05, -0.08, -0.05, -0.02, -0.02, -0.03, -0.07, -0.1, 
##     -0.13, -0.2, -0.23, -0.15, -0.03, 0.2, 0.25, 0.23, 0.18, 
##     -0.11, 0.15, 0.33, 0.38, 0.38, 0.38, 0.33, 0.26, 0.3, 0.31, 
##     0.28, 0.31, 0.07, -0.11, 0, -0.26, -0.51, -0.62, -0.67, -0.71, 
##     -0.84, -0.74, -0.67, -0.74, -0.97, -0.94, -0.89, -0.82, -0.74, 
##     -0.69, -0.62, -0.39, -0.25, -0.11, -0.08, -0.18, -0.21, -0.21, 
##     -0.03, 0.08, 0.13, 0.1, 0.23, 0.2, 0.31, 0.31, 0.28, 0.21, 
##     0.07, -0.1, -0.51, -0.79, -0.59, -0.3, 0.36, 0.48, 0.51, 
##     0.46, -0.02, -0.02, 0.13, -0.03, 0.48, 0.41, 0.38, 0.36, 
##     0.44, 0.36, 0.31, 0.13, 0.1, 0.11, 0.13, 0.11, 0.15, 0.36, 
##     0.57, 0.62, 0.62, 0.59, 0.52, 0.41, 0.16, 0.03, -0.1, -0.21, 
##     -0.31, -0.36, -0.36, -0.07, 0.02, 0.3, 0.28, 0.25, 0.2, 0.2, 
##     0.28, 0.18, 0.21, 0.28, 0.26, 0.3, 0.2, 0.26, 0.28, 0.2, 
##     0.1, 0.05, -0.05, 0.08, 0.23, 0.02, 0.3, 0.38, 0, 0, -0.02, 
##     -0.03, -0.03, -0.02, 0.02, 0.02, 0.02, 0.03, 0.05, 0.03, 
##     0, -0.02, -0.03, -0.03, 0.03, 0.03, -0.02, -0.03, -0.05, 
##     -0.03, -0.02, -0.02, -0.02, 0, 0.05, -0.03, 0.36, 0.87, 1, 
##     0.84, 0.07, 0.03, -0.05, -0.11, -0.18, -0.25, 0.28, 0.26, 
##     0.15, 0.02, -0.16, -0.25, -0.2, -0.16, -0.15, -0.2, -0.21, 
##     -0.16, 0.21, 0.03, 0.11, 0.15, 0.16, 0.2, 0.11, -0.02, -0.16, 
##     -0.33, -0.3, -0.21, 0.03, 0.08, 0.08, 0.03, -0.1, -0.13, 
##     -0.13, -0.15, -0.28, -0.03, 0.11, 0.25, -0.44, -0.3, -0.28, 
##     -0.16, -0.28, -0.34, -0.11, 0.11, 0.11, 0.03, 0.1, 0.15, 
##     0.11, -0.02, -0.26, -0.59, -0.82, 0.03, 0.41, 0.94, 0.72, 
##     0.57, 0.54, 0.49, -0.21, 0.39, -0.07, -0.54, -0.57, 0.23, 
##     0.48, 0.44, -0.39, -0.44, -0.2, 0, 0.38, 0.39, -0.25, -0.23, 
##     -0.2, -0.18, -0.2, -0.08, -0.03, 0.03, 0.08, 0.08, 0.03, 
##     -0.02, 0.23, 0.13, -0.39, -0.26, 0.15, 0.2, -0.26, -0.66, 
##     -0.75, -0.57, 0.02, 0.3, 0.51, 0.43, 0.36, 0.51, 0.21, -0.34, 
##     -0.48, -0.18, -0.15, -0.2, 0.07, 0.18, 0.38, 0.43, 0.56, 
##     0.21, 0.05, 0, -0.02, -0.08, -0.08, -0.1, -0.08, -0.11, 0.28, 
##     0.31, 0.11, 0.2, 0.33, 0.31, 0.25, 0.13, 0.38, 0.46, 0.13, 
##     -0.07, 0.25, 0.31, 0.02, -0.49, -0.44, 0.1, 0.26, 0.44, 0.57, 
##     0.46, 0.38, 0.1, 0.07, 0.1, 0.13, 0.11, 0.13, 0.13, -0.07, 
##     -0.13, -0.16, -0.2, -0.2, -0.18, -0.3, -0.2, -0.16, -0.16, 
##     -0.2, -0.16, -0.08, -0.08, -0.1, -0.13, -0.13, 0.18, -0.13, 
##     -0.11, -0.13, 0.46, 0.11, 0.08, 0.11, 0.1, -0.07, -0.56, 
##     -0.67, -0.28, -0.1, -0.15, -0.2, -0.25, -0.28, -0.38, -0.67, 
##     -0.84, -0.89, -0.77, -0.46, -0.38, -0.26, -0.21, -0.25, -0.44, 
##     -0.72, -0.8, -0.82, -0.77, -0.67, 0.07, 0.33, 0.38, 0.43, 
##     0.36, 0.23, -0.49, -0.44, -0.23, 0.31, 0.2, 0.18, 0.16, 0.21, 
##     0.21, 0.25, 0.28, 0.26, 0.23, 0.23, 0.16, 0.16, 0.15, 0.1, 
##     0.1, 0.13, 0.2, 0.15, 0.13, 0.16, 0.18, 0.18, 0.15, 0.13, 
##     0, -0.2, -0.2, -0.21, -0.23, -0.13, -0.16, -0.18, -0.13, 
##     -0.02, 0, 0, -0.11, -0.13, -0.03, 0.16, 0.43, 0.49, 0.46, 
##     -0.02, 0.1, 0.2, 0.21, 0.08, -0.08, -0.05, 0.1, 0.16, 0.36, 
##     0.15, -0.02, -0.15, -0.23, -0.21, -0.3, -0.64, -0.38, -0.25, 
##     -0.18, -0.82, -0.87, -0.84, -0.66, -0.52, -0.46, -0.43, -0.44, 
##     -0.48, -0.43, 0.44, 0.54, 0.61, 0.66, 0.67, 0.54, 0.15, -0.56, 
##     -0.25, 0.08, 0.36, 0.52, 0.59, 0.1, -0.34, -0.51, -0.59, 
##     -0.64, -0.62, -0.69, -0.69, -0.79, -0.8, -0.72, -0.62, -0.56, 
##     -0.41, -0.43, -0.59, -0.46, -0.34, -0.28, -0.18, -0.08, 0.02, 
##     0.07, -0.15, -0.34, -0.51, -0.66, -0.54, -0.33, -0.23, 0, 
##     -0.07, -0.15, -0.16, -0.18, 0.21, 0.28, 0.21, 0.05, -0.07, 
##     0, 0.08, 0.33, 0.59, 0.3, 0.2, -0.02, 0.03, 0.08, -0.07, 
##     -0.02, 0.33, 0.05, -0.3, -0.41, -0.43, -0.3, -0.28, -0.54, 
##     -0.9, -0.77, -0.54, 0.07, -0.13, -0.31, -0.46, -0.71, -0.87, 
##     -0.74, -0.48, -0.08, 0.57, 0.67, -0.08, -0.26, -0.33, -0.07, 
##     -0.07, -0.03, -0.1, -0.38, -0.33, -0.15, 0.33, 0.33, 0.51, 
##     0.67, 0.77, 0.36, 0.3, 0.52, 0.74, 0.89, 0.62, 0.25, -0.48, 
##     -0.69, -0.69, -0.31, -0.07, 0.16, 0.44, 0.62, 0.69, 0.1, 
##     -0.11, -0.2, -0.97, -1.54, -1.3, -1.21, -0.77, -0.67, -0.72, 
##     -0.66, -0.46, -0.13, -0.33, -0.62, -0.94, -1, -0.71, 0.31, 
##     0.03, -0.1, -0.36, -0.36, -0.21, 0.2, 0.33, 0.16, 0.03, -0.03, 
##     0.25, 0.41, 0.66, 0.72, 0.69, 0.54, 0.52, 0.52, 0.64, 0.85, 
##     0.94, 0.82, 0.03, -0.11, -0.18, 0.03, -0.1, -0.07, 0, 0.02, 
##     -0.02, -0.46, -0.67, 0.18, 0.3, 0.34, -0.03, -0.28, -0.28, 
##     -0.13, -0.07, -0.03, 0.85, 0.95, 0.54, 0.57, 0.49, 0.39, 
##     -0.21, -0.54, -0.54, -0.02, 0.25, 0.31, 0.3, 0.05, -0.51, 
##     -0.69, -0.84, -0.84, -0.94, -0.97, -0.54, -0.02, -0.43, -0.74, 
##     -0.9, -1.12, -1.3, -1.16, -0.41, -0.08, 0.57, 0.54, 0.39, 
##     0.16, 0.02, 0.08, 0.15, 0.15, 0.21, 0.28, 0.23, -0.11, -0.2, 
##     -0.25, -0.15, 0.28, 0.89, 0.95, 0.97, 0.89, 0.74, 0.59, 0.72, 
##     0.82, 1.1, 1.2, 1.03, -0.18, -0.51, -0.46, -0.25, 0.08, -0.16, 
##     -0.26, -0.36, -1.12, -1.33, -1.25, -1.18, -0.97, -0.71, 0, 
##     0.34, 0.49, 0.56, 0.66, 0.75, -1.02, -0.92, -0.44, -0.39, 
##     -0.38, -0.38, -0.1, 0.07, 0.21, 0.15, -0.02, 0.25, 0.33, 
##     0.48, 0.75, 0.75, 0.74, -0.33, -0.43, -0.49, -0.23, -0.21, 
##     -0.16, -0.1, 0, 0.03, 0.07, 0.1, 0.11, 0.18, 0.28, 0.28, 
##     0.34, 0.51, 0.41, 0.39, 0.46, 0.97, 1.1, 1.12, 1.08, 0.97, 
##     1.28, 1.43, 1.25, 0.98, 0.66, 0.31, -0.31, -0.43, -0.07, 
##     0.16, 0.31, 0.18, -0.34, -0.52, -0.66, -0.72, -0.74, -1.82, 
##     -2.03, -2.17, -2.1, -1.72, -0.94, -0.52, -0.1, -0.21, -0.38, 
##     -0.46, -0.38, -0.34, -0.28, -0.31, -0.28, -0.2, -0.18, -0.3, 
##     -0.44, -0.46, -0.46, -0.44, 0.34, 0.16, -0.1, -0.31, -0.39, 
##     -0.23, -0.1, 0.31, 0.3, 0.1, -0.02, 0.21, 0.38, 0.57, 0.75, 
##     0.8, 0.56, 0.16, -0.3, -0.64, 0.21, -0.11, 0.33, 0.39, -0.07, 
##     -0.33, -0.51, -0.54, -0.56, -0.28, -0.02, 0.1, 0.15, 0.13, 
##     0.07, 0.03, 0.05, 0.28, 0.18, 0.23, 0.3, 0.16, 0.1, 0.03, 
##     -0.31, -0.28, -0.05, 0.26, 0.3, 0.33, 0.38, 0.39, 0.18, 0.08, 
##     -0.07, -0.11, -0.13, -0.11, -0.08, 0, 0.1, 0.05, -0.03, 0.13, 
##     0.31, 0.39, 0.38, 0.28, -0.05, -0.1, 0.11, 0.16, 0.2, 0.16, 
##     0.15, 0.03, -0.03, -0.1, -0.11, -0.13, -0.11, -0.05, 0.02, 
##     0.08, 0.07, 0.03, 0, 0.02, 0.05, 0, -0.07, -0.08, -0.05, 
##     0.02, 0.03, 0.02, -0.02, -0.05, -0.08, -0.08, -0.05, 0, -0.02, 
##     -0.03, -0.07, -0.08, -0.07, -0.05, -0.03, -0.03, -0.03, -0.02, 
##     -0.03, -0.02, -0.03, -0.03, -0.03, 0, 0, 0.02, 0.02, 0, 0, 
##     0, 0.03, 0.03, 0.02, 0.02, 0.03, 0.07, 0.03, -0.02, -0.03, 
##     -0.03, -0.15, -0.2, -0.25, -0.25, -0.44, -0.49, -0.49, -0.48, 
##     -0.43, -0.38, -0.36, 0.38, -0.08, -0.11, -0.13, -0.02, 0.05, 
##     0.15, 0.2, 0.11, 0.02, -0.02, -0.05, -0.07, -0.03, 0.02, 
##     0.18, 0.23, 0.15, 0.08, 0.08, 0.08, -0.1, -0.18, -0.41, -0.48, 
##     -0.52, -0.51, -0.44, -0.36, -0.33, -0.18, -0.07, 0.03, 0.1, 
##     0.08, 0.1, -0.2, -0.36, -0.61, -0.56, -0.52, -0.62, -0.79, 
##     -0.92, -0.92, -0.74, -0.69, -0.8, -0.89, -0.94, -0.85, -0.48, 
##     -0.41, -0.36, -0.31, -0.28, -0.18, -0.1, -0.13, -0.08, -0.08, 
##     -0.08, -0.08, -0.05, 0.3, 0.28, 0.51, 0.16, 0.07, -0.02, 
##     0, 0.05, -0.07, -0.1, -0.11, -0.16, -0.07, 0.26, 0.41, 0.66, 
##     0.62, 0.54, 0.11, 0, -0.07, -0.11, -0.08, -0.15, -0.25, -0.84, 
##     -0.85, -0.77, -0.59, -0.52, -0.52, -0.54, -0.59, -0.43, -0.16, 
##     -0.07, -0.03, -0.08, -0.11, -0.13, -0.11, -0.11, -0.1, -0.08, 
##     -0.25, 0.57, 0.66, 0.72, 0.75, 0.71, 0.54, 0.44, 0.16, 0.05, 
##     -0.15, -0.18, -0.21, -0.23, -0.15, -0.07, -0.07, -0.02, 0.1, 
##     0.28, 0.36, 0.23, 0.07, -0.28, -0.41, -0.33, -0.21, -0.02, 
##     0.13, 0.34, 0.08, -0.07, -0.33, -0.3, -0.25, -0.02, 0.08, 
##     0.26, 0.31, 0.31, 0.31, 0.3, 0.13, 0.08, -0.03, -0.18, -0.2, 
##     -0.25, -0.48, -0.71, -0.77, -0.62, -0.52, -0.23, -0.05, 0, 
##     0.02, -0.08, -0.11, 0.02, 0.1, 0.02, -0.08, -0.3, -0.28, 
##     0.03, 0.18, 0.61, 0.64, 0.61, 0.51, 0.43, 0.36, 0.03, 0.08, 
##     0.05, -0.02, -0.13, -0.26, -0.13, 0.03, 0.13, 0.25, 0.43, 
##     0.49, 0.52, -0.02, -0.03, 0, 0, 0.18, 0.18, 0.13, -0.25, 
##     -0.13, 0.31, 0.46, 0.16, -0.2, -0.25, -0.26, -0.28, -0.31, 
##     -0.36, -0.57, -0.64, -0.54, -0.33, -0.23, -0.18, -0.11, -0.03, 
##     0.07, 0.05, 0, -0.08, -0.36, -0.38, -0.34, -0.08, 0.13, -0.23, 
##     -0.33, -0.38, -0.43, -0.41, -0.26, 0.07, 0.38, 0.39, 0.41, 
##     0.38, 0.31, 0.18, 0.07, -0.1, -0.03, 0.07, 0.11, -0.02, 0.02, 
##     0.38, -0.75, -0.57, -0.49, -0.41, -0.36, -0.33, -0.28, -0.28, 
##     -0.31, -0.26, -0.13, -0.21, -0.25, -0.26, -0.25, -0.07, 0.21, 
##     0.43, 0.41, 0.33, -0.05, -0.34, -0.26, -0.11, 0.13, 0.2, 
##     0.28, 0.33, 0.3, 0.1, 0.08, -0.05, -0.18, -0.2, -0.23, -0.23, 
##     -0.16, -0.1, 0.02, 0.18, 0.28, 0.51, 0.72, 0.39, 0.26, 0.2, 
##     0.34, 0.44, 0.48, -0.25, -0.43, -0.56, -0.38, -0.1, -0.05, 
##     0, 0.11, 0.1, 0.05, -0.08, -0.16, -0.26, -0.38, -0.52, -0.67, 
##     -0.8, -0.85, -0.72, -0.57, -0.48, -0.39, -0.38, -0.38, -0.39, 
##     -0.33, -0.26, 0.11, 0.57, 0.51, 0.03, -0.05, 0.05, 0.34, 
##     0.38, 0.13, -0.13, -0.05, 0.03, -0.15, 0.03, 0.03, -0.44, 
##     0.18, 0.33, 0.51, 0.77, 0.75, 0.39, -0.11, -0.11, -0.13, 
##     -0.2, -0.38, -0.67, -0.69, -0.61, 0.1, 0.13, -0.33, -0.48, 
##     -0.52, -0.41, -0.1, -0.03, -0.2, -0.2, -0.28, -0.79, -0.87, 
##     -0.52, -0.43, -0.36, -0.1, 0.15, 0.15, 0.46, 0.66, 0.02, 
##     0.77, 0.74, 0.52, 0.31, 0.33, 0.48, 0.31, 0.18, 0.13, 0.1, 
##     0, -0.03, -0.07, -0.1, 0.08, 0, -0.31, -0.49, -0.38, -0.16, 
##     0.62, 0.49, 0.44, 0.31, 0.08, 0.02, -0.1, -0.41, -0.33, -0.23, 
##     -0.13, 0.25, 0.26, 0.08, -0.41, -1.03, -0.51, 0.2, 0.3, 0.26, 
##     -0.89, -0.95, -0.48, -0.23, -0.2, 0, 0.23, 0.57, 0.82, 0.9, 
##     -0.15, -0.48, -0.59, -0.07, 0.8, 0.8, 0.62, 0.31, 0.3, 0.34, 
##     0.57, 0.52, -0.59, -0.87, -0.9, -0.92, -0.94, -0.82, -0.61, 
##     0.03, 0.08, -0.05, -0.11, -0.21, -0.51, -0.52, 0.08, 0.51, 
##     0.84, 0.69, -0.33, -0.57, -0.1, 0.25, 0.89, 0.51, 0.39, 0.31, 
##     0.25, 0.33, 0.51, -0.59, -0.64, -0.57, 0, 0.39, 0.38, 0.52, 
##     0.54, 0.3, 0.11, 0, 0, -0.57, -0.69, -0.64, -0.57, -0.25, 
##     -0.05, 0.02, 0.41, 0.56, 0.71, 0.62, 0.59, 0.61, 0.67, 0.61, 
##     0.34, 0.07, -0.03, 0.07, 0, -0.05, -0.3, -0.39, -0.15, -0.18, 
##     -0.05, -0.02, -0.07, -0.11, -0.03, 0.64, 0.57, 0.3, -0.15, 
##     -0.1, 0.1, 0.28, 0.33, 0.13, -0.08, -0.26, 0.02, 0.2, 0.08, 
##     0.05, 0.07, 0.15, 0.13, 0.07, 0.1, 0.15, 0.05, 0, -0.03, 
##     -0.07, 0, 0.05, 0.03, 0, 0, 0.02, 0.03, 0.02, 0, -0.02, 0.02, 
##     -0.02, 0.03, 0, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, -0.03, -0.03, 0.28, 0.28, 0.21, 0.13, 0.08, 0.02, 
##     0.02, 0.21, 0.33, 0.41, 0.41, 0.33, -0.25, -0.16, -0.08, 
##     -0.56, -0.52, -0.33, -0.02, -0.05, -0.21, -0.33, -0.33, -0.31, 
##     -0.25, -0.15, 0.8, 0.26, 0.28, 0.18, 0.05, 0.05, 0.25, 0.26, 
##     0.34, 0.16, 0.02, -0.1, -0.23, -0.3, -0.41, -0.72, -0.62, 
##     -0.57, -0.57, -0.48, -0.31, -0.23, -0.16, -0.07, 0.03, 0.03, 
##     -0.21, -0.41, -0.46, -0.79, -0.89, -0.85, -0.82, -0.71, -0.23, 
##     -0.34, -0.66, -0.79, -0.9, -0.74, 0.07, 0.21, 0.33, 0.41, 
##     0.25, 0, -0.36, -0.25, 0.15, 0.54, -0.2, -0.13, 0.03, 0.03, 
##     -0.41, -0.54, -0.75, -0.82, -0.75, -0.8, -0.84, -0.82, -0.75, 
##     -0.43, -0.38, -0.18, -0.16, -0.15, -0.11, 0.02, 0.05, 0.2, 
##     0.64, 0.89, 1.07, 0.61, 0.28, 0.3, 0.44, 0.38, 0.3, 0.26, 
##     0.2, 0.2, 0.72, 0.71, 0.62, 0.54, 0.34, -0.15, -0.49, -0.43, 
##     -0.31, -0.21, -0.2, -0.07, -0.23, -0.54, -0.64, -0.84, -0.46, 
##     -0.34, -0.3, -0.34, -0.51, -0.59, -0.52, -0.46, 0.41, 0.31, 
##     0.34, 0.2, 0.15, 0.2, 0.2, 0.1, 0, -0.02, 0.05, -0.07, -0.21, 
##     -0.3, -0.33, -0.23, -0.11, -0.02, 0.02, 0.05, -0.08, -0.21, 
##     -0.3, -0.21, -0.18, -0.23, -0.33, -0.74, 0.66, 0.59, 0.54, 
##     0.38, 0.36, 0.48, 0.64, 0.72, 0.74, 0.69, 0.61, 0.3, 0.21, 
##     0.25, 0.41, 0, 0.11, 0.13, -0.18, -0.31, -0.31, -0.21, -0.23, 
##     0.05, -0.07, -0.11, -0.2, -0.3, -0.33, -0.28, -0.18, -0.11, 
##     -0.34, -0.46, -0.59, -0.92, -0.94, -0.92, -0.9, -0.89, -0.87, 
##     -0.79, -0.71, -0.52, -0.48, -0.51, -0.46, -0.28, -0.2, -0.13, 
##     -0.1, -0.07, -0.02, 0, 0.05, 0.21, 0.48, 0.38, 0.25, -0.11, 
##     -0.25, 0.57, 0.8, 0.18, 0.2, 0.2, 0.13, 0.2, 0.28, 0.39, 
##     0.36, 0.48, 0.48, 0.38, 0.1, 0.07, -0.16, -0.23, -0.39, -0.38, 
##     -0.44, -0.44, -0.38, -0.13, 0.02, 0.3, 0.51, 0.46, 0.41, 
##     0.28, 0.13, -0.07, -0.2, -0.21, -0.39, 0.1, 1.13, 1.23, 1.28, 
##     1.18, 1.03, 1, 1, 0.92, 0.74, 0.28, -0.34, -0.49, -0.52, 
##     -0.48, -0.43, -0.36, -0.25, -0.34, -0.33, -0.33, -0.36, -0.39, 
##     -0.1, 1, 1.43, 1.46, -0.48, -0.52, 0.11, -0.25, -0.57, -0.23, 
##     -0.25, -0.3, -0.87, -0.85, -0.8, -0.8, -0.85, -0.74, -0.61, 
##     -0.56, -0.52, -0.28, -0.31, -0.36, -0.51, -0.08, 0.13, 0.03, 
##     -0.1, -0.3, -0.43, 0.46, 0.66, 0.77, 0.8, 0.75, 0.49, 0.49, 
##     0.39, 0.71, 0.67, 0.61, 0.52, 0.48, 0.07, -0.05, 0.15, 0.94, 
##     0.66, -0.18, -0.23, -0.11, -0.21, -0.23, -0.26, -0.2, -0.11, 
##     -0.07, -0.05, -0.1, -0.08, 0.05, -0.02, 0, 0, 0, -0.02, -0.02, 
##     0, -0.02, 0, -0.02, -0.02, -0.03, -0.05, -0.05, -0.03, 0, 
##     -0.03, -0.07, -0.08, -0.07, -0.03, -0.02, -0.02, -0.05, -0.08, 
##     -0.02, -0.03, -0.07, -0.16, -0.44, -0.87, -0.97, -0.92, -0.44, 
##     -0.64, -0.59, -0.48, -0.46, -0.43, -0.39, -0.39, -0.11, -0.1, 
##     -0.13, -0.79, -0.95, -0.89, -0.71, 0.08, 0.72, 0.89, 0.9, 
##     0.85, 0.79, 0.79, 0.85, 0.92, 0.97, 0.8, 0.56, 0.64, 0.66, 
##     0.79, 0.48, 0.3, -0.1, 0.34, 0.41, 0.2, 0.08, -0.59, -0.41, 
##     -0.36, -0.33, 0.16, -0.08, -0.8, -0.92, -0.64, -0.38, -0.18, 
##     -0.08, -0.51, -0.39, 0.08, -0.07, -0.61, -0.75, -0.8, -0.67, 
##     -0.56, 0.05, 0.28, 0.52, 0.79, 0.9, 1, 0.94, 0.82, 0.77, 
##     0.41, 0.56, 0.75, 1.1, 0.92, 0.77, 0.15, 0.03, 0.23, 0.15, 
##     0.03, -0.08, -0.41, -0.26, -0.21, 0.26, 0.23, 0.31, 0.46, 
##     0.41, 0.13, 0, 0.18, 0.05, -0.02, 0.15, 0, -0.31, -0.3, -0.66, 
##     -0.85, -0.56, -0.46, -0.52, -1.39, -1.44, -0.59, -0.07, 0.38, 
##     0.75, -0.25, -1.05, -0.56, 0.16, 0.61, 0.59, 0.66, 0.67, 
##     0.79, 0.75, 0.54, 0.38, 0.15, 0.33, -0.1, 0.16, 0.38, 0.59, 
##     0.51, 0.31, 0.08, -0.52, -0.3, -0.15, -0.2, -0.46, -0.52, 
##     -0.57, -0.71, -0.9, -0.84, -0.74, -0.52, -0.36, 0, 0.02, 
##     0, 0, 0.03, 0.11, 0.05, -0.72, -0.9, -0.77, -0.43, 0.82, 
##     1.08, 1.28, 1.03, 0.49, 0.08, 0.07, 0.07, 0.13, 0.39, 0.54, 
##     0.57, 0.59, 0.46, 0.38, 0.28, 0.16, -0.1, -0.13, -0.13, -0.05, 
##     0.08, 0.08, -0.03, -0.46, -0.46, -0.1, -0.26, -0.48, -0.66, 
##     -0.94, -0.94, -0.69, -0.54, -0.3, -0.21, -0.23, -0.25, -0.33, 
##     -0.43, -0.66, -0.85, -0.69, -0.3, -0.71, -0.79, -0.89, -0.64, 
##     -0.59, -0.57, -0.52, -0.39, -0.28, -0.18, -0.46, -0.43, -0.31, 
##     -0.03, 0.02, 0.03, -0.03, -0.03, 0, 0.05, 0.38, 0.66, 0.54, 
##     0.46, 0.38, 0.28, 0.56, -0.84, -0.34, -0.21, 0.87, 0.84, 
##     0.84, 1, 1.1, 1.38, 1.43, 1.28, 0.8, 0.72, 0.49, 0.69, 0.75, 
##     0.77, 0.84, 0.89, 0.89, 0.49, 0.48, 0.79, 0.75, 0.74, 0.72, 
##     0.69, 0.67, 0.66, 0.66, 0.67, 0.66, 0.72, 0.85, 0.94, 0.94, 
##     0.92, 0.9, 0.89, 0.66, 0.48, 0.36, 0.38, 0.43, 0.31, 0.18, 
##     0.16, 0.18, 0.77, 0.85, 0.84, 0.9, 0.92, 0.84, 0.77, 0.66, 
##     0.69, 0.75, 0.69, 0.69, 0.43, 0.34, 0.38, 0.8, 0.89, 0.84, 
##     0.77, 0.79, 0.75, 0.61, 0.79, 1, 1.08, 0.98, 0.59, 0.28, 
##     0.43, 0.36, 0.44, 0.31, 0.44, 0.46, 0.54, 0.62, 0.62, 0.82, 
##     0.8, 0.87, 1.02, 1.1, 1.15, 1.18, 1.33, 1.35, 1.31, 1.21, 
##     0.84, 0.92, 0.48, 0.66, 0.64, 0.51, 0.49, 0.59, 0.61, 0.66, 
##     1.38, 0.8, 0.75, 0.97, 0.84, 0.97, 0.79, 0.66, 0.56, 0.52, 
##     0.56, 0.62, 0.67, 0.67, 0.62, 0.52, 0.43, 0.67, 0.72, 0.62, 
##     0.46, 0.52, 0.49, 0.66, 0.59, 0.62, 0.8, 0.98, 0.69, 0.8, 
##     0.87, 0.75, 0.56, 0.62, 0.56, 0.49, 0.54, 0.56, 0.56, 0.51, 
##     0.43, 0.34, 1.13, 1.3, 1.2, 1.1, 0.94, 0.74, 0.59, 0.59, 
##     0.52, 0.64, 0.72, 0.75, 0.82, 0.94, 0.9, 0.71, 0.66, 0.67, 
##     0.8, 0.87, 0.87, 0.57, 0.49, 0.43, 0.36, 0.26, 0.77, 0.74, 
##     0.62, 0.66, 0.95, 0.98, 0.94, 0.94, 0.89, 1.07, 0.98, 0.66, 
##     0.66, 0.57, 0.54, 0.21, -0.07, 0.18, 0.18, 0.38, 1.05, 1.07, 
##     1.05, 0.49, 0.28, 0.11, -0.33, -0.59, 1.74, 2.07, 2.15, 1.48, 
##     1.2, 0.95, 0.72, 0.34, 0.31, 0.38, 0.44, 0.57, 0.62, 0.69, 
##     0.74, 0.77, 0.75, 0.72, 0.33, 0.21, 0.21, -0.02, 0.98, 1, 
##     0.87, 0.71, 0.72, 0.87, 0.97, 1.07, 1.07, 1.08, 0.89, 0.54, 
##     0.51, 0.51, 0.56, 0.57, 0.61, 0.61, 0.54, 0.51, 0.54, 0.8, 
##     0.82, 0.79, 0.77, 0.75, 0.72, 0.75, 0.79, 0.84, 0.9, 0.92, 
##     0.98, 1.03, 1.05, 1.15, 1.16, 1.07, 0.92, 0.87, 0.77, 0.61, 
##     0.49, 0.34, 0.84, 0.82, 0.39, 0.21, 0, 0.38, 0.28, 0.2, 0.16, 
##     0.41, 0.33, 0.31, 0.39, 0.46, 0.28, 0.39, 0.69, 0.94, 1.18, 
##     1.18, 0.74, 0.75, 0.82, 0.84, 0.64, 0.48, 0.41, 0.33, 0.8, 
##     0.89, 0.92, 1.05, 1.1, 1.28, 1.3, 1.25, 1.26, 0.84, 0.8, 
##     0.94, 0.97, 0.98, 0.94, 0.87, 0.8, 0.74, 0.69, 0.67, 0.62, 
##     0.59, 0.51, 0.51, 0.49, 0.49, 0.36, 0.34, 0.11, 0.11, 0.23, 
##     0.11, 0.18, 0.64, 0.9, 0.98, 1.26, 1.28, 1.26, 1.23, 1.05, 
##     0.2, 0.1, 0.08, 0.13, 0.36, 0.56, 0.61, 0.59, 0.54, 0.51, 
##     0.52, 0.69, 0.82, 0.95, 0.95, 0.77, 0.79, 1.05, 1.07, 1.03, 
##     0.95, 0.92, 0.72, 0.56, 0.82, 1.13, 1.12, 0.41, -0.02, 0.05, 
##     0.31, 0.52, 0.92, 1.13, 1.16, 0.72, 0.54, 1.16, 1.16, 0.92, 
##     0.85, 0.87, 0.94, 1, 1.18, 1.02, 0.89, 0.74, 0.64, 0.57, 
##     0.54, 0.57, 0.54, 0.51, 0.46, 0.33, 0.33, 0.31, 0.31, 0.31, 
##     0.23, -0.1, 0.33, 0.82, 1.05, 0.64, 0.59, 0.72, 0.75, 0.66, 
##     0.59, 0.51, 0.46, 0.43, 0.39, 0.36, 0.41, 0.43, 0.41, 0.41, 
##     0.54, 0.62, 0.71, 0.79, 0.95, 1.03, 1, 0.98, 1.03, 1.08, 
##     1.21, 1.25, 1.25, 1.26, 1.23, 1.25, 1.28, 1.31, 1.33, 1.21, 
##     1.07, 0.95, 1.03, 1.07, 1.05, 1.21, 1.25, 1.2, 1.2, 1.08, 
##     0.89, 0.75, 0.85, 1.16, 1.23, 1.15, 0.79, 1.07, 1.12, 0.8, 
##     0.72, 0.77, 0.77, 0.62, 0.62, 0.77, 0.75, 0.71, 0.77, 0.71, 
##     0.69, 0.64, 0.64, 0.66, 0.69, 0.72, 0.71, 0.67, 0.57, 0.48, 
##     0.57, 0.62, 0.34, 0.15, 0.33, 0.74, 0.74, 0.87, 0.8, 0.85, 
##     0.84, 0.71, 0.64, 0.74, 0.79, 0.79, 0.72, 0.72, 0.59, 0.62, 
##     0.69, 0.8, 0.94, 0.97, 0.95, 0.98, 0.98, 0.97, 0.95, 1, 1.23, 
##     1.26, 1.26, 1.25, 1.18, 0.97, 0.72, 0.74, 1.28, 1.26, 1.23, 
##     1.28, 1.26, 1.07, 1, 0.74, 0.64, 0.75, 0.94, 1.15, 1.2, 0.8, 
##     0.71, 0.74, 0.82, 0.89, 0.9, 0.87, 0.98, 1.02, 0.98, 0.9, 
##     0.9, 0.28, 0.34, 0.62, 0.75, 1.02, 0.8, 0.64, 0.74, 0.69, 
##     0.94, 1, 0.94, 0.82, 0.8, 0.89, 0.97, 0.8, 0.75, 0.18, 0.26, 
##     0.1, 0.05, 0.16, 0.71, 0.8, 0.59, 0.52, 0.89, 1.15, 1.1, 
##     0.97, 0.66, 0.69, 0.8, 0.97, 1.08, 1.21, 1.21, 1.13, 1.03, 
##     0.97, 0.87, 0.56, 0.52, 0.56, 0.59, 0.56, 0.56, 0.64, 0.69, 
##     0.64, 0.75, 0.8, 0.84, 0.94, 1.03, 1.23, 1.35, 1.23, 1.16, 
##     1.02, 1.12, 0.94, 0.92, 0.71, 0.21, 0.18, 0.54, 0.8, 0.89, 
##     0.89, 0.9, 0.92, 0.79, 0.79, 0.87, 0.89, 0.89, 0.92, 0.9, 
##     0.84, 0.8, 0.77, 0.77, 0.8, 0.84, 0.87, 0.9, 0.92, 0.85, 
##     0.82, 1.08, 0.95, 1.08, 1.25, 1.25, 1.05, 1.12, 1.35, 1.16, 
##     1, 0.97, 0.9, 0.75, 0.62, 0.66, 0.62, 0.25, 0.26, 0.54, 0.69, 
##     0.62, 0.54, 0.48, 0.38, 0.36, 0.41, 0.38, 0.43, 0.49, 0.48, 
##     0.49, 0.44, 0.25, 0.15, 0.26, 0.38, 0.69, 0.66, 0.54, 0.33, 
##     0.31, 0.51, 1.02, 1.1, 1.15, 0.2, 0.39, 0.64, 0.48, 1.03, 
##     0.9, 0.05, 0.18, 0.57, 0.87, 0.9, 0.9, 0.64, 0.67, 0.79, 
##     1.03, 1.08, 1.05, 1.02, 0.89, 0.98, 0.98, 0.92, 0.85, 1.07, 
##     0.13, 0.41, 0.61, 0.72, 0.66, 0.36, 0.57, 0.95, 1.43, 1.61, 
##     1.74, 1.64, 0.52, 0.34, 0.16, 0.07, 0.31, 0.49, 1.21, 1.23, 
##     1, 0.67, 0.52, 0.39, 0.38, 0.46, 0.62, 0.69, 0.72, 0.71, 
##     0.71, 0.95, 1.05, 1.18, 1.07, 0.98, 0.87, 0.75, 0.69, 0.62, 
##     0.82, 0.94, 0.98, 0.89, 0.71, 1.21, 1.08, 1.05, 0.95, 0.82, 
##     0.77, 0.72, 0.85, 0.79, 0.77, 0.72, 0.62, 0.33, 0.26, 0.31, 
##     0.61, 0.62, 0.41, 0.3, 0.2, -0.05, 0.05, 0.23, 0.43, 0.71, 
##     1.26, 1.69, 1.74, 1.62, 1.13, 0.89, 0.49, 0.44, 0.51, 0.64, 
##     0.9, 1.02, 1.03, 0.84, 0.61, 0.56, 0.54, 0.52, 0.34, 0.33, 
##     0.61, 0.33, 0.2, 0.49, 0.54, 0.59, 0.69, 0.69, 0.75, 0.72, 
##     0.59, 0.48, 0.3, 0.25, 0.28, 0.84, 0.84, 0.71, 0.31, 0.08, 
##     0.03, 0.2, 0.69, 1.05, 1.05, 0.94, 1.07, 1.16, 1.18, 1.16, 
##     1.23, 1.33, 1.43, 1.48, 1.53, 1.23, 0.97, 1.51, 1.2, 1.08, 
##     0.92, 0.84, 0.77, 0.72, 0.75, 0.69, 0.56, 0.49, 0.61, 0.75, 
##     0.74, 0.77, 0.87, 0.98, 0.95, 0.66, 0.26, 0.33, 0.44, 1.02, 
##     0.98, 0.64, 0.62, 0.69, 0.95, 0.98, 0.77, 0.69, 0.61, 0.49, 
##     0.46, 0.46, 0.52, 0.57, 0.66, 0.72, 1.02, 1.15, 1.23, 0.11, 
##     0.18, 0.51, 0.69, 0.75, 0.87, 1.03, 1.03, 1.07, 1.08, 1.1, 
##     1.1, 1.21, 1.21, 1.2, 1.21, 1.2, 0.95, 0.82, 0.71, 0.82, 
##     0.85, 0.74, 0.54, 0.39, 0.64, 0.62, 0.62, 0.64, 0.67, 0.85, 
##     0.87, 0.8, 0.79, 0.77, 0.77, 0.79, 0.82, 1.03, 0.89, 0.75, 
##     0.67, 0.52, 0.52, 0.52, 0.57, 0.61, 0.67, 0.59, 0.46, -0.11, 
##     -0.08, -0.05, 0.03, 0.3, 0.48, 0.56, 0.69, 0.66, 0.23, 0.3, 
##     0.39, 0.51, 1.12, 1.21, 0.87, 0.39, 0.41, 0.49, 0.62, 1.05, 
##     1.07, 1.05, 1.03, 1, 1, 0.98, 0.97, 1.13, 1.28, 1.26, 1.23, 
##     1.12, 0.98, 0.97, 1.39, 1.57, 1.49, 1.28, 1.25, 1.03, 1.07, 
##     1.2, 1.31, 1.23, 0.77, 0.77, 0.77, 0.87, 0.97, 0.98, 0.97, 
##     1, 1.08, 0.54, 0.46, 0.41, 0.31, 0.26, 0.25, 0.41, 0.64, 
##     1.08, 1.23, 1.26, 0.74, 1.1, 1.31, 1.12, 0.66, 0.51, 0.33, 
##     -0.18, -0.34, -0.31, -0.1, 0.16, 1.12, 0.72, 0.57, 0.49, 
##     0.41, 0.41, 0.44, 0.51, 0.54, 0.67, 0.79, 0.84, 0.85, 0.72, 
##     0.77, 0.98, 1.07, 1.13, 1.26, 1.23, 1.21, 1.2, 1.12, 1.18, 
##     1.31, 1.38, 1.43, 1.36, 1.12, 1.12, 1.2, 1.48, 1.41, 1.2, 
##     0.38, 0.15, 0.18, 0.31, 0.62, 1.02, 1.33, 0.89, 0.87, 0.87, 
##     0.87, 0.85, 0.97, 1.16, 1.16, 1.16, 0.92, 0.79, 0.69, 0.61, 
##     0.48, 0.48, 0.49, 0.54, 0.54, 0.18, -0.21, 0, 1.15, 0.67, 
##     0.48, 0.46, 0.36, 0.28, 0.3, 0.49, 0.61, 0.69, 0.66, 0.77, 
##     0.8, 0.75, 0.64, 0.36, 0.38, 0.41, 0.39, 0.39, 0.38, 0.34, 
##     0.57, 0.48, 0.48, 0.49, 0.46, 0.64, 0.77, 1.77, 1.82, 1.84, 
##     1.67, 1.46, 1.18, 1.05, 0.95, 0.89, 0.82, 0.67, 0.43, 0.39, 
##     0.71, 0.82, 0.9, 0.54, 0.16, 0, 0.74, 0.94, 1.03, 1.05, 1.02, 
##     1, 0.95, 0.85, 0.89, 0.67, 0.57, 0.51, 0.46, 0.36, 0.57, 
##     0.57, 0.66, 0.59, 0.56, 0.54, 0.56, 0.74, 0.77, 0.87, 0.82, 
##     0.75, 0.75, 0.79, 0.85, 0.92, 1, 1.05, 1.12, 1.15, 1.2, 1.21, 
##     1.15, 1.12, 1.03, 0.98, 0.95, 0.94, 1.05, 0.72, 0.62, 0.74, 
##     0.77, 0.75, 0.74, 0.72, 0.77, 0.49, 0.85, 1.36, 1.57, 1.51, 
##     1.18, 0.89, 0.26, 0.49, -0.03, -0.1, 0, 0.33, 0.66, 0.64, 
##     0.66, 0.67, 0.66, 0.64, 0.67, 0.62, 0.71, 0.74, 0.79, 0.75, 
##     0.77, 0.75, 0.66, 0.57, 0.59, 0.79, 0.8, 0.8, 0.85, 1.12, 
##     0.97, 1, 1, 1, 0.97, 0.94, 0.9, 0.82, 0.64, 0.74, 0.77, 0.8, 
##     0.97, 1.16, 0.87, 0.72, 0.34, 0.15, 0.1, 0.16, 0.34, 0.54, 
##     0.67, 0.25, 0.1, 0.15, 1.62, 1.35, 1.25, 1.07, 0.8, 0.71, 
##     0.46, 0.48, 0.61, 0.75, 1.1, 1.18, 0.85, 0.1, 0.05, 0.72, 
##     1.05, 1.53, 1.61, 1.57, 0.94, 0.69, 0.69, 0.54, 0.56, 0.62, 
##     0.67, 0.75, 0.8, 0.87, 0.77, 0.61, 0.46, 0.28, 0.8, 0.89, 
##     0.69, 0.3, 0.28, 1.3, 0.54, 0.72, 0.85, 0.97, 1.07, 1.18, 
##     1.23, 1.16, 1.08, 0.77, 0.74, 0.75, 0.87, 0.84, 0.84, 0.77, 
##     0.82, 0.75, 0.77, 0.77, 0.28, 0.21, 0.15, 0.75, 0.94, 1.16, 
##     1.13, 1.16, 1.26, 1.59, 1.54, 1.41, 0.57, 0.52, 0.48, 0.48, 
##     0.67, 0.67, 0.8, 0.89, 0.92, 0.62, 0.54, 0.46, 0.52, 0.62, 
##     0.69, 0.72, 0.75, 1.16, 1.23, 1.25, 1.12, 0.77, 0.64, 0.54, 
##     0.43, 0.62, 0.56, 0.52, 0.71, 0.75, 0.9, 1.13, 1.2, 0.89, 
##     0.23, 0.36, 0.69, 0.69, 0.84, 0.9, 0.85, 0.87, 0.84, 0.95, 
##     0.95, 0.92, 0.94, 0.89, 0.98, 1, 0.97, 0.61, 0.59, 0.54, 
##     0.43, 0.51, 0.66, 0.9, 0.87, 0.9, 0.95, 1.02, 1.08, 1.2, 
##     1.25, 1.15, 0.97, 0.74, 0.75, 0.54, 0.41, 0.21, 0.3, 0.57, 
##     0.54, 0.52, 0.72, 0.71, 0.62, 0.69, 0.69, 0.97, 1.07, 0.79, 
##     0.64, 0.64, 0.69, 0.85, 0.87, 0.87, 0.71, 0.48, 0.43, 0.46, 
##     0.57, 0.84, 0.97, 0.9, 0.8, 0.77, 0.8, 0.85, 0.92, 0.94, 
##     0.94, 0.9, 0.89, 0.89, 0.85, 0.84, 0.87, 0.82, 0.82, 0.82, 
##     0.79, 0.77, 0.79, 0.79, 0.77, 0.89, 0.98, 0.82, 0.74, 0.71, 
##     0.8, 0.49, 0.84, 1.05, 1.36, 1.13, 0.97, 0.9, 0.79, 0.71, 
##     1.02, 1.18, 1.28, 1.16, 1, 0.85, 0.77, 0.67, 0.59, 0.62, 
##     0.67, 0.72, 1.13, 0.74, 0.64, 1.23, 1.3, 1.28, 1.2, 1.12, 
##     1.13, 1.18, 1.2, 1.15, 1.12, 1.15, 1.2, 1.23, 1.1, 1.02, 
##     0.95, 0.85, 0.72, 0.74, 0.75, 0.64, 0.64, 0.59, 1.03, 1, 
##     0.62, 0.59, 0.72, 0.94, 1.35, 0.98, 0.57, 0.38, 0.56, 0.62, 
##     0.67, 0.77, 0.87, 0.94, 0.87, 0.82, 1.23, 0.98, 0.44, 0.07, 
##     -0.69, -0.69, -0.62, -0.41, 0.71, 0.97, 1.21, 1.05, 0.8, 
##     0.66, 0.57, 1.12, 1.1, 1.07, 1.07, 1.12, 1.15, 0.92, -0.03, 
##     1.03, 0.92, 0.62, 0.71, 0.23, 0.38, 0.54, 0.36, 0.39, 0.49, 
##     0.82, 0.97, 1.08, 1.16, 0.95, 1.1, 1.15, 1.12, 0.94, 0.34, 
##     0.75, 0.51, 0.26, 0.02, 0.02, -0.2, -0.26, -0.44, -0.36, 
##     -0.3, -0.28, -0.3, -0.57, -0.97, -1.18, -1, -0.9, -0.87, 
##     -0.98, -1.1, -0.23, 0.49, 1.03, 1.26, 1.28, 1.31, 1.26, 1.08, 
##     0.48, 0.71, 0.94, 0.87, 0.92, 1.02, 0.92, 0.39, 0.41, 0.59, 
##     0.94, 1.18, 1.21, 0.87, 0.59, 0.33, -0.62, -0.52, -0.43, 
##     -0.38, -0.33, -0.43, -0.75, -0.54, -0.39, -0.34, -0.57, -0.56, 
##     -0.49, -0.41, -0.18, -0.15, -0.1, -0.18, -0.28, -0.3, -0.28, 
##     -0.39, -0.85, -0.77, 0.28, 0.59, 0.64, 0.75, 0.8, 0.85, 0.84, 
##     0.49, 0.41, 0.05, 0.05, 0.13, 0.21, 0.1, 0.02, -0.03, 0, 
##     0, 0, 0.02, -0.07, -0.15, -0.11, -0.1, -0.07, -0.03, -0.05, 
##     -0.02, -0.05, -0.05, -0.07, -0.51, -0.61, -0.74, -0.77, -0.77, 
##     -0.74, -0.52, -0.48, -0.43, -0.44, -0.48, -0.41, -0.34, -0.48, 
##     -0.33, -0.15, -0.1, -0.15, -0.25, -0.26, -0.1, 0.52, 0.75, 
##     0.95, 0.71, 0.3, 0.1, -0.03, 0.43, 0.49, 0.36, 0.52, 0.51, 
##     0.36, 0.23, -0.05, -0.43, -0.33, -0.25, -0.13, 0, 0.33, 0.23, 
##     0.15, 0.07, -0.02, -0.21, -0.25, -0.34, -0.31, -0.2, -0.03, 
##     0.31, 0.46, 0.56, 0.34, 0.08, -0.11, -0.31, -0.28, -0.26, 
##     0.25, 0.39, 0.07, -0.13, -0.33, -0.38, -0.46, -0.51, -0.51, 
##     -0.48, -0.38, -0.26, -0.13, 0.08, 0.26, 0.15, -0.11, -0.25, 
##     -0.3, -0.61, -0.71, -0.79, -0.82, -0.02, 0.05, 0.13, 0.05, 
##     -0.05, -0.13, -0.13, -0.07, 0.02, 0.15, 0.28, 0.3, 0.13, 
##     0.03, -0.1, -0.1, -0.07, -0.07, -0.05, 0, -0.05, -0.66, -0.8, 
##     -0.74, -0.74, -0.72, -0.75, -0.71, -0.64, -0.49, -0.34, -0.26, 
##     -0.2, -0.13, -0.15, -0.15, -0.51, -0.52, -0.25, -0.02, 0.26, 
##     0.61, 0.52, 0.16, 0.03, -0.02, 0.21, 0.59, -1.02, -1.35, 
##     -1.28, -0.87, -0.51, -0.61, -0.69, -0.75, -0.77, -0.05, 0.36, 
##     0.43, 0.31, 0.2, 0.2, 0.15, 0.1, 0.07, 0.16, 0.07, 0.41, 
##     0.36, 0.11, -0.3, 0.07, 0.15, 0.21, 0.13, 0.03, 0.05, 0.08, 
##     0.11, 0.2, -0.02, -0.11, -0.25, -0.25, -0.03, -0.1, -0.25, 
##     -0.46, 0.49, -0.41, -0.39, -0.3, -0.11, 0.07, 0.26, 0.39, 
##     0.28, 0.08, -0.21, -0.46, -0.67, -0.82, -0.98, -1.25, -1.43, 
##     -1.44, -1.48, -1.16, -1, -0.69, -0.57, 0.05, 0.05, -0.18, 
##     -0.2, -0.43, -0.36, -1.05, -1.31, -1.25, -1.38, -1.18, -0.95, 
##     -0.43, 0.16, 0.25, -0.77, -0.97, -1.12, -1.05, -0.67, -0.08, 
##     0.05, 0.03, 0.02, -0.21, -0.15, -0.15, -0.69, -0.67, -0.62, 
##     -0.31, -0.13, -0.08, 0, -0.16, -0.07, 0.07, 0.11, 0.3, 0.33, 
##     0.33, -0.66, -0.67, -0.36, -0.08, 0.18, -0.21, -0.31, -0.38, 
##     -0.41, -0.31, -0.13, -0.48, -0.62, -0.94, -1.12, -1.31, -1.2, 
##     -1.03, -0.62, -0.56, -0.92, -1.07, -0.97, -0.61, -0.2, -0.13, 
##     -0.21, -0.34, -0.59, -0.66, -0.67, -0.56, -0.49, -0.36, -0.31, 
##     -0.25, -0.2, 0, -0.1, -0.18, -0.21, 0.44, -0.31, -0.05, 0.23, 
##     -0.41, -0.46, -0.3, -0.16, 0.02, 0.21, 0.46, 0.23, -0.07, 
##     -0.15, -0.1, 0, 0.1, 0.34, 0.34, 0.36, 0.36, 0.3, 0.03, 0.1, 
##     0.13, 0.39, 0.61, 0.69, 0.72, 0.67, 0.57, 0.56, 0.39, 0.33, 
##     0.33, 0.25, 0.23, 0.23, 0.33, 0.46, 0.46, 0.43, 0.33, 0.05, 
##     -0.07, -0.41, -0.31, -0.23, -0.21, -0.85, -0.59, -0.43, -0.82, 
##     -0.87, -0.44, -0.34, -0.44, -0.52, -0.54, -0.41, -0.33, -0.2, 
##     0.48, 0.64, 0.54, -0.3, -0.66, 0, 0.75, 0.95, 1.02, 0.64, 
##     0.41, -0.39, -0.46, -0.52, -0.49, -0.38, -0.23, 0, -0.08, 
##     -0.23, -0.41, -0.59, -0.28, 0.16, 0.33, 0.15, 0.02, -0.15, 
##     0.15, 0.28, 0.38, 0.49, 0.43, 0.25, -0.05, 0, -0.05, -0.05, 
##     -0.05, -0.05, -0.03, -0.02, 0, -0.03, -0.1, -0.13, -0.2, 
##     -0.25, -0.26, -0.2, -0.28, -0.28, -0.25, -0.21, -0.51, -0.71, 
##     -0.87, -1.03, -0.49, -0.41, -0.38, 0.15, 0.28, 0.08, -0.98, 
##     -1.02, -0.92, -0.31, -0.16, -0.49, -0.94, -1.2, -1.43, -1.57, 
##     -1.48, -1.16, 0.1, 0.26, -0.2, -0.41, -0.2, 0.2, 0.64, 0.98, 
##     0.87, 0.23, -0.1, -0.03, 0.02, -0.07, -0.1, 0, 0.13, 0.21, 
##     0.3, 0.26, 0.21, 0.18, 0.08, -0.03, -0.03, -0.33, -0.16, 
##     -0.05, 0.07, 0.08, -0.25, -0.57, -1.12, -0.95, -0.41, -0.31, 
##     0.95, 0.49, 0.13, -0.46, -0.64, -0.77, -0.79, -0.82, -0.39, 
##     -0.25, -0.08, -0.05, 0.25, 0.33, 0.34, 0.36, 0.38, 0.41, 
##     0.38, 0.25, -0.02, -0.16, -0.56, -0.43, -0.36, -0.23, -0.03, 
##     0.02, 0.16, 0.2, 0.2, 0.2, 0.13, 0.11, 0.1, 0.11, 0.16, 0.1, 
##     0.03, -0.02, -0.11, -0.11, 0.1, 0.16, 0.07, -0.07, -0.2, 
##     -0.2, -0.11, -0.02, 0.08, 0.18, 0.1, -0.15, -0.33, -0.25, 
##     0.16, 0.48, 0.13, -0.1, 0.26, 0.28, 0.44, 0.46, 0.38, 0.25, 
##     0.13, 0.11, 0.16, 0.25, 0.21, 0.1, 0.05, 0.28, 0.3, 0.21, 
##     0.13, 0.05, 0.15, 0.23, 0.18, 0.13, 0.1, -0.05, -0.13, -0.08, 
##     -0.23, -0.23, -0.23, -0.25, -0.23, -0.2, 0.03, 0.1, 0.13, 
##     0.05, -0.21, -0.44, -0.57, -0.66, -0.39, -0.16, 0.07, 0.25, 
##     -0.05, -0.3, -0.1, 0.05, 0.11, 0.21, 0.11, 0.05, 0.05, 0.03, 
##     0, 0.16, 0.3, 0.31, 0.23, 0, -0.02, -0.15, 0.02, 0.15, 0.33, 
##     0.56, 0.41, 0.3, 0.11, 0.33, 0.46, 0.56, 0.28, 0.26, 0.36, 
##     0.31, 0.26, 0.18, 0, -0.16, -0.18, 0.02, 0.16, 0.18, 0.15, 
##     0.07, -0.02, -0.23, -0.31, -0.38, -0.25, -0.08, 0.26, 0.41, 
##     -0.21, -0.13, -0.13, -0.11, 0.02, -0.11, -0.08, 0.07, 0.28, 
##     0.71, 0.74, 0.77, 0.79, 0.08, 0.03, 0.07, 0.16, 0.23, 0.28, 
##     -0.05, -0.11, -0.15, -0.13, -0.1, -0.11, -0.15, 0.11, 0.28, 
##     0.31, 0.26, -0.26, -0.3, -0.31, -0.3, -0.25, -0.15, 0.15, 
##     0.11, 0.02, -0.05, -0.05, 0, 0.08, 0.15, 0.15, 0.03, -0.02, 
##     0.1, 0.13, -0.11, 0.02, 0.15, 0.39, 0.38, 0.33, 0.3, 0.38, 
##     0.21, 0.08, 0.18, 0.33, 0.28, -0.05, -0.31, -0.05, 0.28, 
##     0.52, 0.03, -0.2, -0.15, -0.03, 0.03, 0.11, 0.1, 0.08, 0.1, 
##     0.11, 0.13, 0.11, 0.11, 0.15, 0.13, 0.08, -0.03, 0.07, 0.13, 
##     0.11, -0.03, -0.2, -0.05, 0.03, 0.08, -0.1, 0.11, 0.31, 0.18, 
##     0.1, 0.03, 0.05, 0.25, 0.21, 0.1, 0, -0.03, 0.25, 0.31, 0.31, 
##     0.31, 0.34, 0.31, 0.3, 0.25, 0.21, 0.15, -0.11, 0.13, 0.15, 
##     0.16, 0.16, 0.1, 0, -0.11, -0.08, -0.02, 0.05, -0.11, -0.21, 
##     0.08, 0.11, 0.05, 0.02, 0.16, 0.02, -0.16, -0.33, -0.3, -0.02, 
##     0.13, 0.13, 0.11, 0.02, 0.36, 0.41, 0.52, 0.54, 0.39, 0.15, 
##     -0.07, 0.21, 0.57, 0.59, 0.52, 0.18, 0.02, -0.1, 0.1, 0.18, 
##     0.28, 0.16, 0.11, 0.08, 0.2, 0.03, 0.02, -0.15, -0.13, -0.11, 
##     -0.07, 0.18, 0.11, 0, -0.23, -0.34, -0.26, -0.07, 0.07, -0.31, 
##     -0.21, 0.28, 0.44, 0.1, -0.33, -0.3, 0.1, -0.15, -0.16, -0.03, 
##     0.41, 0.66, 0.26, -0.02, -0.02, 0.18, 0.23, 0.16, -0.07, 
##     -0.16, 0.08, 0.2, 0.36, 0.38, 0.31, 0.16, 0.08, -0.03, 0.02, 
##     0.13, 0.1, 0.03, -0.08, -0.13, -0.25, -0.08, 0.03, 0.02, 
##     -0.02, -0.11, -0.25, -0.31, 0.03, 0.07, -0.3, -0.38, -0.39, 
##     -0.38, -0.31, 0.15, 0.16, 0.18, -0.2, -0.3, -0.56, -0.61, 
##     -0.49, -0.39, -0.2, -0.15, 0.16, 0.08, 0.03, -0.05, -0.26, 
##     -0.23, -0.38, -0.8, -0.9, -0.98, -0.98, -0.85, -0.71, -0.43, 
##     -0.38, -0.39, -0.41, -0.36, -0.16, -0.05, 0.03, 0.13, 0.23, 
##     0.21, -0.1, -0.15, -0.16, -0.15, -0.15, -0.13, -0.11, -0.05, 
##     -0.03, 0.02, 0.07, 0.36, 0.46, 0.46, 0.34, -0.02, -0.1, -0.21, 
##     -0.23, 0.05, 0.25, 0.31, 0.31, 0.33, 0.26, 0.18, 0.16, 0.18, 
##     0.11, 0.02, -0.08, -0.28, -0.36, -0.41, -0.46, -0.48, -0.1, 
##     0.13, 0.1, 0.05, 0.08, -0.08, -0.28, -0.33, -0.43, -0.52, 
##     -0.69, -0.74, -0.74, -0.75, -0.69, -0.59, -0.51, -0.38, -0.1, 
##     -0.18, -0.3, -0.18, -0.05, 0.08, 0.39, 0.07, -0.21, -0.25, 
##     -0.26, 0.11, 0.3, 0.38, 0.49, 0.11, -0.08, -0.2, -0.2, -0.11, 
##     -0.08, -0.07, 0.02, 0, 0.02, 0.11, 0.36, 0.34, 0.36, 0.21, 
##     0.03, 0.05, 0.05, 0, 0.11, 0, 0.07, 0.1, 0.15, 0.2, 0.28, 
##     0.31, 0.26, 0.15, -0.05, -0.15, -0.38, -0.46, -0.51, -0.57, 
##     -0.75, -0.84, -0.87, -0.82, -0.72, -0.71, -0.64, -0.59, -0.59, 
##     -0.62, -0.51, -0.25, -0.1, 0.03, 0.15, 0.23, 0.34, 0.39, 
##     0.39, 0.21, 0.21, 0.2, 0.11, -0.08, -0.08, -0.1, -0.08, 0.08, 
##     0.05, -0.02, -0.11, -0.52, -0.52, -0.51, -0.49, -0.48, -0.15, 
##     -0.15, 0.03, 0.03, -0.05, 0.03, -0.31, -0.31, -0.28, -0.2, 
##     -0.05, -0.21, -0.3, -0.31, -0.36, -0.34, -0.43, -0.49, -0.82, 
##     0.39, 0.08, -0.28, -0.43, -0.56, -0.64, -0.66, -0.61, -0.52, 
##     -0.41, -0.02, 0.1, 0.13, 0.11, 0.11, 0.08, 0, -0.05, -0.08, 
##     -0.79, -0.84, -0.8, -1.1, -1.08, -0.9, -0.67, 0.18, 0.28, 
##     0.16, 0.2, 0.39, 0.49, 0.67, 0.77, 0.74, 0.2, 0.16, 0.3, 
##     0.36, 0.18, 0.15, 0.2, 0.26, 0.34, 0.3, 0.23, 0, -0.23, -0.23, 
##     -0.23, -0.13, -0.13, -0.15, -0.16, -0.28, -0.33, -0.41, -0.44, 
##     -0.82, -0.79, -0.77, -0.79, -0.92, -1, -1.1, -0.72, -0.52, 
##     -0.33, 0.25, 0.38, 0.23, 0.18, 0.49, 0.57, 0.75, 0.67, 0.57, 
##     0.41, 0.38, 0.39, 0.38, 0.31, 0.41, 0.11, -0.07, -0.67, -0.21, 
##     0, 0.28, 0.39, 0.39, 0.3, 0.1, 0, -0.18, -0.44, -0.66, -0.75, 
##     -0.9, -1.05, -0.92, -0.8, -0.75, -0.79, -1.03, -1.13, -1.13, 
##     -1.05, -0.62, 0.28, 0.43, 0.51, 0.48, 0.44, 0.39, 0.25, 0.23, 
##     0.31, 0.34, 0.43, 0.52, 0.57, 0.64, 0.74, 0.77, 0.61, 0.54, 
##     0.59, 0.49, 0.57, 0.52, 0.39, 0.34, 0.39, 0.41, 0.26, 0.18, 
##     0.13, -0.15, -0.25, -0.18, -0.18, -0.26, -0.51, -0.74, -0.95, 
##     -1.18, -1.39, -1.44, -1.43, -1.08, -0.84, -0.48, -0.13, 0.49, 
##     0.92, 0.84, 0.69, 0.49, 0.31, 0.18, 0.08, 0.02, 0.03, 0.1, 
##     0.21, 0.33, 0.49, 0.02, 0, -0.03, -0.05, -0.07, -0.1, -0.1, 
##     -0.07, -0.16, -0.25, -0.33, -0.31, -0.28, -0.25, -0.31, -0.57, 
##     -1.48, -1.48, -0.41, 0.03, 0.31, 0.38, 0.39, 0.38, 0.34, 
##     0.3, 0.33, 0.51, 0.66, 0.41, 0.3, 0.16, 0.02, 0.28, 0.33, 
##     0.31, 0.43, 0.41, 0.23, 0.13, -0.07, -0.3, -0.28, -0.23, 
##     -0.18, -0.11, -0.05, 0.03, 0.11, 0.11, 0.13, 0.05, -0.11, 
##     -0.21, -0.67, -0.82, -0.62, -0.48, -0.3, -0.18, -0.13, -0.11, 
##     -0.2, -0.34, -0.38, -0.33, -0.21, -0.08, 0.03, 0.92, 0.44, 
##     -0.03, -0.43, -0.67, -0.61, -0.36, 0.34, 0.52, 0.57, 0.69, 
##     0.56, 0.49, 0.39, 0.07, 0.13, 0.1, 0.07, 0.1, 0.13, 0.2, 
##     0.34, 0.3, 0.2, 0.2, 0.31, 0.23, 0.2, 0.16, -0.1, -0.2, -0.18, 
##     -0.25, -0.31, -0.36, -0.38, -0.38, -0.39, -0.28, -0.26, -0.26, 
##     -0.3, -0.43, -0.66, -0.95, -0.82, -0.51, -0.43, -0.25, -0.26, 
##     -0.25, -0.23, 0, 0.02, 0, -0.03, -0.07, -0.11, -0.15, -0.11, 
##     0.02, 0.1, 0.25, 0.28, 0.16, 0.25, 0.54, 0.41, 0.44, 0.49, 
##     0.61, 0.52, 0.31, 0.11, 0.13, 0.69, 0.67, 0.64, 0.43, 0.36, 
##     0.11, -0.07, 0.07, 0.2, 0.16, 0.11, 0.11, 0.2, 0.23, -0.28, 
##     -0.34, -0.38, -0.43, -0.41, -0.36, -0.34, -0.72, -1, -1.26, 
##     -1.28, -1.25, -0.77, 0.36, 0.38, 0.41, 0.54, 0.71, 0.64, 
##     0.44, 0.23, 0.49, 0.51, 0.34, 0.13, -0.07, -0.18, -0.15, 
##     0.3, 0.41, 0.41, 0.34, 0.26, 0.15, 0.2, 0.2, 0.18, 0.15, 
##     0.1, 0.03, -0.02, -0.03, -0.03, -0.03, -0.1, -0.1, -0.08, 
##     -0.05, -0.1, 0.18, 0.2, 0.15, 0.08, -0.02, -0.07, 0.05, 0.02, 
##     0.26, 0.31, 0.41, 0.41, 0.36, 0.36, 0.21, 0.08, 0.02, -0.11, 
##     -0.33, -0.39, -0.48, -0.48, -0.38, -0.36, -0.54, -0.39, -0.36, 
##     0.03, 0.11, 0.2, 0.13, 0.16, 0.25, 0.23, 0.2, 0.21, 0.13, 
##     0.13, 0.05, -0.02, 0, 0.07, 0.11, 0.07, -0.3, -0.38, -0.16, 
##     -0.2, -0.08, 0.48, 0.49, 0.26, 0.16, 0.18, 0.07, -0.56, -0.21, 
##     -0.33, -0.52, -0.67, -0.31, -0.11, -0.02, -0.18, -0.21, -0.18, 
##     -0.15, -0.1, -0.08, 0.05, 0.1, 0.11, -0.1, -0.18, -0.26, 
##     0.02, 0.15, 0.25, 0.28, -0.02, -0.1, -0.13, -0.1, -0.08, 
##     -0.07, -0.08, -0.07, -0.07, -0.07, -0.03, -0.02, 0, 0, -0.02, 
##     -0.03, -0.07, -0.05, -0.03, -0.03, -0.08, -0.15, -0.2, -0.21, 
##     -0.23, -0.25, -0.26, -0.23, -0.18, -0.18, -0.31, -0.38, -0.36, 
##     -0.54, -0.33, -0.44, -0.59, -0.56, -0.36, 0.48, 0.52, 0.51, 
##     0.34, 0.51, 0.74, 0.64, 0.56, 0.79, 0.34, 0.11, -0.07, -0.3, 
##     -0.2, -0.02, 0.3, 0.44, 0.43, 0.05, 0, -0.03, -0.11, -0.25, 
##     -0.36, -0.44, -0.11, -0.05, -0.08, -0.3, -0.23, -0.31, -0.36, 
##     -0.57, -0.67, -0.72, -0.46, -0.15, 0.34, 0.39, -0.26, -0.52, 
##     -0.13, 0.44, 0.67, 0.75, 0.71, 0.64, 0.64, 0.66, 0.61, 0.49, 
##     0.41, 0.51, 0.66, 0.66, 0.52, 0.02, -0.33, 0, 0.26, 0.34, 
##     0.33, 0.31, 0.46, 0.46, 0.36, 0.25, 0.31, 0.48, 0.54, 0.61, 
##     0.52, 0.36, 0.34, 0.26, 0.07, -0.15, -0.36, -0.26, -0.1, 
##     0.07, 0.07, -0.41, -0.39, -0.44, -0.52, -0.71, -0.77, -0.75, 
##     -0.72, -0.31, 0.02, 0.1, 0.16, -0.13, -0.3, -0.41, -0.48, 
##     -0.41, 0.21, 0.51, 0.52, 0.23, 0.21, 0.25, 0.38, 0.44, 0.36, 
##     0.28, 0.57, 0.34, -0.05, 0.1, 0.16, 0.18, 0.23, 0.36, 0.41, 
##     0.38, 0.38, 0.3, 0.05, -0.11, -0.23, -0.25, -0.15, -0.13, 
##     -0.16, -0.33, -0.48, -0.57, -0.57, -0.57, -0.61, -0.69, -0.79, 
##     -0.9, -0.85, -0.64, -0.51, -0.44, -0.51, -0.43, -0.28, 0.02, 
##     0.05, 0.11, 0.16, 0.2, 0.26, 0.3, 0.44, 0.51, 0.57, 0.66, 
##     0.59, 0.64, 0.51, 0.31, 0.28, 0.34, 0.33, 0.25, 0.39, 0.48, 
##     0.97, 0.92, 0.64, -0.48, -0.21, -0.28, -0.48, -0.59, -0.77, 
##     -0.87, -0.75, -0.13, 0.18, 0.79, 1.02, 0.92, 0.92, 0.84, 
##     0.64, 0.2, 0.18, 0.3, 0.72, 0.89, 0.33, 0.08, -0.08, 0.38, 
##     0.59, 0.72, 0.62, 0.46, 0.28, 0.15, -0.3, -0.49, -0.61, -0.51, 
##     -0.38, -0.2, 0.21, 0.2, -0.74, -1, -1.25, -1.1, -0.89, -0.84, 
##     -0.79, -0.85, -0.77, -0.38, -0.05, 0.05, 0.08, -0.1, -0.23, 
##     -0.39, -0.59, -0.54, -0.26, -0.07, 0.16, 0.43, 0.98, 1.1, 
##     0.34, 0.23, 0.08, -0.28, -0.59, -0.67, -0.51, 0.13, 0.64, 
##     1.15, 1.03, 0.85, 0.84, 0.71, 0.67, 0, -0.33, -0.21, -0.02, 
##     0.25, 0.31, -0.03, -0.52, -0.28, -0.28, -0.25, -0.2, 0, -0.77, 
##     -0.8, -0.72, -0.52, -0.38, -0.31, -0.28, -0.31, -0.43, -0.66, 
##     -0.61, -0.49, 0.43, 0.72, 1.16, 1.12, 0.8, -0.1, -0.25, 0.38, 
##     0.46, 0.59, 0.54, 0.48, 0.3, 0.11, 0.1, 0.03, 0.08, 0.15, 
##     0.23, 0.33, 0.41, 0.38, -0.05, -0.3, -0.61, -0.59, -0.11, 
##     0.07, 0.05, 0.02, -0.03, 0.02, 0.03, 0.03, 0.03, 0.02, 0.02, 
##     -0.03, -0.1, -0.1, -0.1, -0.1, 0.02, 0.03, 0.07, 0.07, 0.05, 
##     0, -0.03, 0, 0, 0.02, 0.02, 0.02, -0.03, -0.13, -0.18, -0.26, 
##     -0.36, -0.43, -0.54, -0.59, -0.66, -0.74, -0.92, -1, -0.77, 
##     -0.69, -0.66, -0.72, -0.82, -1, -0.46, -0.33, -0.48, -0.39, 
##     -0.2, 0.1, 0.39, 0.59, 0.66, 0.36, 0.33, 0.48, 0.82, 0.62, 
##     0.49, 0.46, 0.49, 0.72, 0.79, 0.79, 0.77, 0.71, 0.15, 0.1, 
##     0.05, 0.03, 0.05, 0, -0.1, -0.16, -0.11, -0.16, -0.15, -0.13, 
##     -0.13, -0.21, -0.31, -0.38, -0.48, -1.07, -1.23, -1.51, -1.39, 
##     -1.15, -0.62, -0.08, 0.03, 0.11, 0.18, -0.13, -0.33, -0.31, 
##     -0.21, -0.1, 0.25, 0.26, 0.34, 0.57, 0.49, 0.57, 0.92, 0.89, 
##     0.54, 0.49, 0.59, 0.57, 0.54, 0.46, 0.34, 0.25, 0.08, -0.16, 
##     -0.38, -0.31, -0.18, -0.16, -0.23, -0.28, -0.46, -0.52, -0.57, 
##     -0.61, -0.97, -1, -0.87, -0.69, -0.67, -0.13, 0, -0.39, -0.44, 
##     -0.33, 0.08, -0.1, -0.3, 0.8, 1.1, 1.2, 0.56, 1.05, 1.28, 
##     0.61, -0.26, -0.08, -0.02, -0.15, -0.11, -0.11, -0.18, -0.3, 
##     -1, -1.15, -1.21, -1.1, -0.97, -0.84, -0.74, -0.62, -0.52, 
##     -0.23, -0.23, -0.25, -0.3, -0.13, 0.1, 0.36, 0.34, 0.8, 0.74, 
##     0.71, 0.67, 0.57, 0.98, 1.59, 1.84, 1.95, 1.94, 1.66, 1.13, 
##     0.03, -0.36, -0.62, -0.77, -0.79, -0.61, -0.38, 0.05, 0, 
##     -0.34, -0.62, -1.67, -1.69, -1.41, -1.23, -1.08, -1, -0.85, 
##     -0.71, -0.56, -0.51, -0.28, -0.18, -0.23, -0.39, -0.11, -0.18, 
##     0.21, 0.62, 1.08, 1.15, 1.03, 0.79, 0.98, 1.23, 1.18, 1.08, 
##     0.39, -0.08, -0.11, -0.1, -0.07, -0.05, -0.07, -0.07, -0.08, 
##     -0.21, -1.53, -1.49, -1.18, -1.03, -1.13, -1.28, -1.13, -0.84, 
##     -0.48, -0.15, 0.08, 0.44, 0.33, -0.15, -0.44, -0.39, -0.21, 
##     0.25, 0.51, 1.38, 1.28, 1.07, 0.49, 0.25, 0.18, 0.48, 0.98, 
##     0.74, 0.44, 0.33, 0.18, 0.23, 0.16, -0.07, -0.11, -0.13, 
##     -0.21, -0.36, -0.21, -0.21, -0.61, -0.8, -1.02, -1.49, -1.46, 
##     -0.69, -0.02, 0.03, 0, -0.1, -0.18, -0.2, -0.05, 0.2, 0.69, 
##     0.94, 0.98, 0.92, 0.87, 0.79, 0.61, 0.3, 0.18, 0.51, 0.77, 
##     1.33, 1.33, 1.21, 0.41, -0.13, -0.39, -0.38, -0.33, -0.23, 
##     -0.16, -0.52, -0.66, -0.82, -0.89, -1.12, -1.82, -1.59, -0.8, 
##     -0.56, -0.1, -0.05, -0.18, -0.23, -0.13, 0.18, 0.54, 0.56, 
##     0.61, 0.64, 0.71, 0.94, 0.85, 0.66, 0.52, 1.13, 1.43, 1.43, 
##     0.69, 0.07, -0.18, -0.51, -0.52, -0.48, -0.46, -0.43, -0.48, 
##     -0.54, -1.49, -1.48, -1.43, -1.28, -0.77, -0.87, -0.95, -1, 
##     0.15, 0.33, 0.79, 1.03, 1.16, 0.52, 0.25, 0.28, 1.57, 1.76, 
##     1.41, 1.05, 0.44, 0.13, -0.2, -0.41, -0.34, -0.18, -0.15, 
##     -0.16, -0.52, -1.08, -1.28, -1.39, -1.28, -1, -0.94, -1.15, 
##     -1.49, -1.28, -1.02, -0.38, -0.69, -0.67, -0.44, 0.07, 0.36, 
##     0.56, 0.61, 0.49, 0.31, 0.25, 0.31, 0.66, 1.18, 0.51, 0.82, 
##     1.18, 1.12, -0.08, -0.08, -0.1, -0.11, -0.15, -0.16, -0.11, 
##     -0.05, 0, 0.08, 0.08, 0.13, 0.15, 0.18, 0.2, 0.16, 0.1, 0.08, 
##     0.08, 0.02, -0.03, -0.05, -0.03, -0.03, -0.05, -0.07, -0.07, 
##     -0.03, -0.02, 0, -0.02, -0.02, 0, -0.08, 0.48, 0.61, 1.02, 
##     1.36, 1.39, 1.46, 1.36, 1.3, 0.18, 0.18, 0.26, 0.49, 1.38, 
##     0.62, 0.03, -0.51, -1.28, -1.26, -1.05, -0.25, -0.08, -0.92, 
##     -1.15, -1.31, -1.41, -1.18, -0.56, -0.79, -1.05, -1.03, -0.72, 
##     0.69, 0.21, 0.84, 1.53, 1.87, 2.03, 1.97, 1.2, 0.79, 0.2, 
##     0.18, 0.31, 0.39, 0.62, 0.71, 0.77, 0.8, 0.74, 0.62, 0.62, 
##     0.44, 0.46, 0.66, 1.13, 0.21, 0.2, 0.2, 0.62, 0.8, 0.82, 
##     0.3, 1, 0.61, 0.38, 0.43, 0.56, 0.69, 0.74, 0.89, 0.74, 0.56, 
##     0.44, 0.67, 0.72, 0.69, 0.66, 0.69, 0.77, 0.84, 0.87, 0.87, 
##     0.87, 0.79, 0.44, 0.46, 0.49, 0.51, 0.49, 0.56, 0.69, 0.74, 
##     0.95, 0.95, 0.98, 0.98, 0.98, 1.03, 1.13, 1.07, 1.03, 1.02, 
##     0.94, 0.84, 0.8, 0.95, 0.8, 0.62, 0.69, 0.77, 0.87, 1.08, 
##     0.97, 0.94, 0.9, 0.87, 0.79, 0.79, 0.9, 0.64, -0.38, 0.16, 
##     0.52, 0.9, 0.92, 0.98, 0.98, 1, 0.98, 1.13, 1.18, 1.16, 1.35, 
##     0.62, 0.69, 0.74, 0.71, 0.64, 0.44, 0.48, 0.52, 0.57, 0.61, 
##     0.56, 0.56, 0.48, 0.43, 0.54, 0.61, 0.49, 0.28, -0.15, -0.18, 
##     0.38, 0.74, 0.61, 0.34, 0.57, 0.66, 0.72, 0.95, 0.89, 0.87, 
##     0.84, 0.79, 0.67, 0.54, 0.57, 0.59, 0.61, 0.49, 0.39, 0.34, 
##     0.57, 1, 1.03, 1.03, 0.46, 0.57, 0.61, 0.64, 0.75, 0.69, 
##     0.38, 0.43, 0.39, 0.34, 0.36, 0.18, 0.21, 0.34, 0.56, 0.64, 
##     0.33, 0.52, 0.79, 1.02, 0.89, 0.62, 0.54, 0.64, 0.82, 0.97, 
##     0.74, 0.69, 0.79, 0.82, 0.82, 0.85, 0.92, 0.95, 0.9, 0.82, 
##     0.8, 0.9, 0.85, 1.03, 0.95, 0.97, 1.07, 1.15, 0.98, 0.92, 
##     0.9, 0.92, 1.25, 1.33, 1.28, 1.33, 1.18, 0.85, 0.82, 1.15, 
##     1.31, 1.07, 0.9, 0.77, 0.71, 0.69, 0.71, 0.82, 0.87, 0.87, 
##     0.9, 0.97, 1.07, 1.12, 1.1, 1.07, 1.02, 0.95, 0.84, 0.69, 
##     0.46, 0.23, 0.1, 0.31, 0.31, 0.28, 0.23, 0.2, 0.13, 0.43, 
##     0.44, 0.48, 0.56, 0.62, 0.62, 0.48, 0.51, 0.84, 0.74, 0.75, 
##     0.8, 0.75, 0.77, 0.82, 0.77, 0.97, 0.77, 0.56, 0.77, 0.89, 
##     0.94, 0.8, 0.64, 0.67, 0.67, 0.71, 0.85, 0.9, 1.18, 1.15, 
##     1.02, 0.95, 0.87, 1.18, 0.66, 0.34, 0.33, 0.38, 0.46, 0.54, 
##     0.66, 0.46, 0.25, 0.26, 0.43, 0.54, 0.67, 0.74, 0.69, 0.57, 
##     0.38, 0.31, 0.2, 0.21, 0.31, 0.38, 0.39, 0.43, 0.49, 0.89, 
##     0.85, 0.84, 0.8, 0.57, 0.56, 0.62, 0.74, 0.84, 0.84, 0.75, 
##     0.71, 0.69, 0.64, 0.67, 0.69, 0.59, 0.61, 0.79, 0.87, 0.87, 
##     0.72, 0.79, 0.77, 1.08, 1.61, 1.41, 0.8, 0.75, 0.71, 0.77, 
##     0.95, 1.18, 0.72, 0.44, 0.31, 0.57, 0.75, 0.85, 0.95, 1.1, 
##     1.25, 1.33, 1.15, 0.51, 0.44, 0.89, 0.85, 0.84, 0.79, 0.34, 
##     0.13, -0.1, 0.48, 0.46, 0.41, 0.38, 0.51, 0.56, 0.46, 0.49, 
##     0.48, 0.46, 0.51, 0.52, 0.49, 0.54, 0.59, 0.59, 0.82, 0.94, 
##     0.77, 0.66, 0.64, 0.9, 0.95, 1, 0.94, 0.8, 0.72, 0.77, 0.87, 
##     1.15, 1.38, 1.36, 1.18, 1.05, 0.97, 1.07, 1.25, 1.18, 1.1, 
##     0.82, 1.03, 1.2, 1.08, 1, 0.77, 0.69, 0.72, 0.8, 0.89, 0.97, 
##     1.07, 1.12, 1.1, 0.85, 0.74, 0.67, 0.57, 0.48, 0.49, 0.52, 
##     0.62, 0.62, 0.56, 0.57, 0.54, 0.48, 0.34, 0.26, 0.48, 0.59, 
##     0.56, 0.46, 0.64, 0.71, 0.74, 0.67, 0.62, 0.61, 0.82, 0.79, 
##     0.75, 0.69, 0.62, 0.62, 0.69, 0.89, 0.9, 0.71, 1.02, 1.13, 
##     1.18, 1.03, 0.82, 0.8, 0.8, 0.84, 0.89, 0.94, 0.92, 0.9, 
##     0.84, 0.59, 0.31, 0.21, 0.21, 0.31, 0.41, 0.46, 0.43, 0.38, 
##     0.38, 0.46, 0.51, 0.52, 0.82, 0.54, 0.46, 0.46, 0.48, 0.49, 
##     0.52, 0.59, 0.75, 0.79, 0.84, 0.66, 0.69, 0.71, 0.67, 0.62, 
##     0.64, 0.71, 0.84, 0.84, 0.79, 0.85, 0.9, 1.03, 0.82, 1.03, 
##     1.05, 1.12, 1.44, 1.44, 1.23, 0.92, 0.64, 0.72, 1, 1.3, 1.26, 
##     1.25, 1, 0.77, 0.57, 0.49, 0.57, 0.85, 0.85, 0.8, 0.72, 0.72, 
##     0.71, 0.69, 0.64, 0.62, 0.54, 0.59, 0.49, 0.31, 0.33, 0.33, 
##     0.33, 0.62, 0.59, 0.49, 0.54, 0.49, 0.54, 0.64, 0.71, 0.67, 
##     0.74, 0.67, 0.79, 0.8, 1, 1.12, 1.16, 1.05, 0.69, 0.85, 0.84, 
##     0.79, 0.77, 1.46, 0.95, 0.95, 1.2, 1.35, 1.33, 1.23, 1.21, 
##     1.16, 0.98, 1.02, 1.13, 1.03, 1.05, 0.94, 0.9, 0.95, 1.1, 
##     1.13, 1.1, 0.92, 0.87, 0.92, 0.95, 1, 1.07, 1, 0.38, 0.2, 
##     0.3, 0.43, 0.44, 0.15, 0.05, 0.07, 0.18, 0.56, 0.95, 1.07, 
##     0.57, 0.13, 0.54, 0.44, 0.62, 0.72, 0.56, 0.61, 0.98, 1.18, 
##     0.72, 0.49, 0.46, 0.67, 0.85, 0.95, 0.9, 0.82, 0.8, 0.77, 
##     0.97, 1.28, 1.35, 1.2, 0.87, 0.97, 0.98, 1.12, 1.1, 1.03, 
##     1.07, 1.07, 0.92, 0.61, 0.67, 1.15, 1.1, 0.97, 0.64, 0.26, 
##     0.18, 0.15, 0.9, 0.94, 0.75, 0.66, 0.66, 0.67, 1.05, 1.28, 
##     1.41, 1.53, 1, 1, 0.9, 0.79, 0.85, 0.95, 0.92, 0.87, 0.77, 
##     0.64, 1.1, 1.61, 1.76, 1.05, 0.75, 0.82, 0.98, 1.18, 1.71, 
##     0.51, 0.56, 0.87, 0.62, 0.79, 1.12, 1.31, 1.3, 1, 1.16, 1.18, 
##     1.18, 1.07, 1, 0.87, 0.85, 0.89, 0.92, 0.94, 0.92, 0.92, 
##     0.89, 0.82, 0.74, 0.64, 0.59, 0.61, 0.62, 0.59, 0.59, 0.57, 
##     0.48, 0.25, 0.21, 0.23, 0.31, 0.3, 0.49, 0.38, 0.62, 0.69, 
##     0.71, 0.59, 0.54, 0.57, 0.66, 0.66, 0.71, 0.33, 0.48, 0.85, 
##     1.16, 1.28, 1.1, 0.74, 0.59, 0.44, 0.38, 0.34, 0.38, 0.56, 
##     0.62, 0.77, 0.87, 0.89, 0.95, 0.92, 0.79, 0.77, 0.94, 0.89, 
##     0.79, 0.74, 0.74, 0.92, 1.02, 0.56, 0.31, 0.07, -0.11, 1.53, 
##     1.61, 0.46, 0.59, 0.69, 0.89, 0.92, 0.87, 0.69, 0.64, 0.64, 
##     0.74, 0.67, 0.62, 0.56, 0.48, 0.46, 0.52, 0.46, 0.54, 0.56, 
##     0.61, 0.69, 0.71, 0.66, 0.72, 0.77, 0.44, 0.38, 0.38, 0.43, 
##     0.56, 0.66, 0.77, 0.82, 0.71, 0.64, 0.67, 0.74, 0.71, 0.82, 
##     0.95, 1.08, 1.38, 1, 0.8, 0.36, 0.26, 0.23, 0.25, 0.41, 0.59, 
##     0.69, 0.71, 0.67, 0.59, 0.71, 0.82, 0.92, 0.95, 0.82, 0.31, 
##     0.2, 0.82, 1, 1.12, 0.71, 0.05, 0.79, 1, 1.13, 0.98, 0.59, 
##     0.41, 0.2, 0.31, 0.41, 0.75, 0.77, 0.71, 0.69, 0.64, 0.66, 
##     0.64, 0.69, 0.74, 0.82, 0.77, 0.79, 0.85, 0.89, 0.9, 0.94, 
##     1, 1.03, 1.03, 1.02, 1.02, 0.94, 0.8, 0.69, 0.61, 0.89, 1.02, 
##     1.33, 1.41, 1.2, 0.9, 0.69, 0.62, 0.69, 0.66, 0.66, 0.56, 
##     0.62, 0.95, 1, 1.07, 1.33, 1.39, 1.38, 1.18, 1.02, 0.94, 
##     0.8, 0.41, 0.59, 0.8, 1.79, 1.69, 1.36, 0.98, 0.61, 0.64, 
##     1.3, 1.16, 1, 0.84, 0.69, 0.66, 0.66, 0.72, 0.8, 0.9, 0.95, 
##     0.94, 0.72, 0.57, 0.39, 0.26, 0.13, 0.56, 0.59, 0.57, 0.49, 
##     0.39, 0.31, 0.64, 0.8, 1.02, 1.02, 0.98, 0.94, 0.87, 0.84, 
##     1, 1.23, 1.35, 1.2, 1.03, 0.94, 0.8, 0.72, 1.12, 1.44, 1.39, 
##     0.95, 0.43, 0.48, 0.59, 0.75, 0.67, 0.2, 0.02, 0.11, 0.36, 
##     1.1, 1.44, 1.72, 1.87, 1.87, 1.84, 1.64, 1.49, 1.35, 1.16, 
##     1.02, 0.57, -0.21, -0.07, 0.31, 0.56, 0.89, 1, 1.13, 1.12, 
##     1.1, 0.82, 0.62, 0.43, 0.51, 0.66, 0.75, 0.92, 0.97, 0.97, 
##     0.97, 1, 1.02, 1.07, 1.12, 1.15, 1.13, 1.16, 1.28, 1.2, 1.16, 
##     1.1, 0.9, 0.8, 0.75, 1.2, 1.39, 1.36, -0.11, 1.05, 1.12, 
##     1.02, 0.9, 0.67, 0.54, 0.74, 0.87, 0.97, 0.33, -0.03, -0.03, 
##     0.05, 0.21, 0.41, 0.59, 0.75, 0.9, 0.98, 0.92, 0.85, 0.8, 
##     0.75, 0.57, 0.52, 0.49, 0.57, 0.74, 0.97, 0.94, 0.82, 0.61, 
##     0.51, 1.05, 1.07, 1.05, 1, 0.97, 0.8, 0.75, 0.85, 0.79, 0.75, 
##     0.77, 0.79, 0.77, 0.77, 0.75, 0.56, 0.67, 0.9, 0.84, 0.84, 
##     0.84, 0.85, 0.92, 0.9, 0.9, 0.98, 1, 0.9, 0.72, 0.72, 0.77, 
##     0.87, 0.85, 0.75, 1.25, 1.41, 1.08, 0.46, 0.15, 0.1, 0.13, 
##     0.46, 0.71, 0.95, 1.03, 0.94, 0.39, 0.15, -0.02, 0.05, 0.2, 
##     0.62, 0.56, 0.51, 0.52, 0.72, 1.03, 1, 0.94, 0.9, 0.89, 0.89, 
##     0.92, 1, 1.05, 1.03, 0.87, 0.82, 0.71, 0.75, 0.8, 0.87, 0.98, 
##     0.97, 0.92, 0.95, 0.9, 0.72, 0.98, 1.07, 1.03, 0.97, 0.8, 
##     0.75, 0.72, 0.95, 1.33, 0.67, 0.56, 0.51, 0.39, 0.46, 0.79, 
##     0.89, 0.56, 0.46, 0.39, 0.46, 0.64, 0.82, 0.66, 0.46, 0.39, 
##     0.92, 0.95, 0.92, 0.85, 0.85, 0.72, 0.59, 0.48, 0.67, 0.77, 
##     0.85, 0.98, 1.03, 1.12, 1.23, 1.39, 1.53, 1.38, 0.89, 0.92, 
##     0.66, 0.56, 0.62, 0.67, 0.67, 0.8, 0.89, 1.2, 1.15, 1.03, 
##     0.85, 0.92, 0.98, 1.08, 0.94, 0.82, 0.71, 0.46, 0.49, 0.61, 
##     0.89, 1.02, 1.26, 1.03, 0.84, 0.41, 0.38, 0.43, 0.52, 1.35, 
##     0.46, 0.39, 0.36, 0.36, 0.43, 0.57, 0.69, 1.1, 0.9, 0.64, 
##     0.36, 0.38, 0.51, 1.05, 1.21, 1.02, 0.95, 0.8, 0.75, 0.54, 
##     0.52, 0.59, 0.62, 0.66, 0.69, 0.66, 0.57, 0.49, 0.33, 0.72, 
##     0.77, 0.75, 0.69, 0.51, 0.48, 0.52, 0.64, 0.69, 0.8, 0.72, 
##     0.26, 0.34, 0.46, 0.64, 0.69, 0.69, 0.67, 0.75, 0.43, 0.38, 
##     0.38, 0.46, 0.62, 0.74, 0.89, 1.03, 0.72, 0.69, 0.69, 0.72, 
##     0.75, 0.79, 0.85, 0.9, 0.95, 0.98, 0.98, 0.92, 0.87, 0.87, 
##     0.92, 0.8, 0.92, 0.84, 1.08, 1.26, 1.15, 0.71, 0.31, 0.41, 
##     0.85, 0.98, 0.97, 1, 1.1, 0.97, 0.59, 0.34, 0.11, -0.08, 
##     0.39, 0.56, 0.77, 0.9, 1.02, 1.02, 0.77, 0.15, 0, -0.03, 
##     0.07, 0.18, 0.3, 0.38, 0.59, 0.62, 0.18, 0.05, 0.1, 0.36, 
##     0.54, 0.54, 0.49, 1.07, 1.05, 1.05, 1, 0.97, 0.95, 0.9, 0.84, 
##     0.75, 0.75, 0.98, 1.23, 1.36, 1.2, 0.02, -0.28, -0.18, 0.28, 
##     1.18, 1.41, 1.48, 1.39, 1.05, 0.75, 0.54, 0.67, -0.07, -0.03, 
##     -0.02, -0.15, -0.57, -0.72, -0.94, -0.92, -1, -1.16, -1.15, 
##     -0.74, -0.64, -0.66, -0.64, -0.67, -0.71, -0.62, -0.54, -0.08, 
##     0.08, 0.95, -0.13, -0.21, -0.3, -0.3, -0.15, -0.18, -0.23, 
##     -0.26, 0, 0.05, 0.07, 0.05, -0.11, 0.11, 0.18, 0.03, 0.03, 
##     0.03, 0, -0.34, -0.36, -0.21, -0.13, -0.08, 0.07, 0.07, 0.08, 
##     0.13, 0.18, 0.2, 0.08, 0, -0.02, -0.08, -0.08, -0.07, -0.18, 
##     -0.2, -0.18, 0.87, 0.67, 0.64, 0.31, 0.25, -0.08, -0.03, 
##     0, -0.07, 0, 0.05, 0.3, 0.39, 0.46, 0.31, 0.26, 0.16, 0.13, 
##     -0.71, -0.36, -0.07, 0.03, 0.05, 0.23, 0.23, 0.2, 0.26, 0.28, 
##     0.3, 0.38, 0.33, 0.28, 0.36, 0.59, 0.72, 0.67, 0.66, 0.52, 
##     0.31, 0.26, 0.21, 0.33, 0.52, 0.52, 0.02, -0.02, 0.03, 0.13, 
##     0.34, 0.41, 0.48, 0.26, 0.05, -0.08, -0.13, -0.15, -0.16, 
##     -0.18, -0.18, -0.15, -0.16, -0.36, -0.44, -0.59, -0.64, -0.64, 
##     -0.44, -0.31, -0.21, -0.05, 0.46, 0.44, 0.07, -0.26, -0.16, 
##     0.23, 0.23, 0.1, -0.21, 0.08, -0.03, -0.21, 0.02, -0.03, 
##     -0.11, -0.36, -0.43, -0.25, -0.15, -0.07, 0.07, 0.1, 0.07, 
##     0.02, 0.16, 0.18, 0.15, -0.13, -0.18, 0, 0.15, 0.11, 0.02, 
##     0.03, 0.02, 0.03, 0.39, 0.44, 0.46, 0.21, 0.03, 0.13, 0.28, 
##     0.3, 0.26, 0.34, 0.3, 0.21, 0.11, -0.1, 0.11, 0.31, 0.36, 
##     0.25, 0.1, -0.07, 0.11, 0.25, 0.28, 0.33, 0.05, -0.2, -0.49, 
##     -0.43, 0.13, 0.23, 0.3, 0.28, 0.08, -0.08, -0.33, -0.36, 
##     -0.28, -0.16, -0.13, -0.08, -0.03, 0.16, 0, -0.1, -0.31, 
##     -0.38, -0.15, -0.05, 0, -0.02, -0.05, -0.07, -0.23, -0.05, 
##     0.18, 0.41, 0.43, 0.54, 0.61, -0.03, -0.02, 0.1, 0.59, 0.34, 
##     0, -0.1, -0.2, -0.18, -0.18, -0.07, -0.03, -0.02, -0.02, 
##     -0.11, -0.05, -0.08, 0, 0, -0.18, -0.11, -0.15, -0.07, 0.05, 
##     0.13, 0.26, 0.13, -0.18, -0.2, -0.13, -0.11, -0.33, -0.59, 
##     -0.72, -0.77, -0.71, -0.62, -0.2, 0.02, 0.13, 0.16, 0.11, 
##     -0.2, -0.52, -0.28, -0.05, 0.16, 0.31, 0.39, 0.44, 0.39, 
##     0.33, 0.25, 0.2, 0.3, -0.71, -0.71, -0.08, 0, -0.15, -0.21, 
##     -0.31, -0.38, -0.36, -0.3, -0.2, -0.1, -0.02, 0.07, 0.18, 
##     -0.07, -0.13, 0.28, 0.46, 0.48, 0.39, 0.38, 0.03, 0.05, 0.02, 
##     -0.46, -0.51, -0.49, -0.46, -0.48, -0.54, -0.59, -0.34, -0.39, 
##     -0.49, -0.51, -0.54, -0.56, -0.52, -0.48, -0.31, -0.15, 0.02, 
##     0.69, 0.64, -0.2, -0.16, -0.02, 0.49, 0.59, 0.54, 0.48, 0.43, 
##     0.1, 0.69, 0.52, 0.36, 0.28, 0.21, 0.18, 0.08, -0.08, -0.08, 
##     -0.05, 0, 0, -0.18, -0.23, -0.05, -0.07, -0.21, -0.41, -0.56, 
##     -0.57, -0.59, -0.56, -0.46, -0.39, -0.3, -0.31, -0.8, -1, 
##     -1.08, -0.82, -0.57, -0.3, 0.25, 0.11, -0.25, -0.16, 0.07, 
##     0.3, 0.44, 0.59, 0.28, 0.36, 0.26, -0.48, -0.66, -0.74, -0.66, 
##     -0.03, 0.59, 0.15, -0.16, 0.02, 0.18, 0.39, 0.08, 0.23, 0.36, 
##     0.43, 0.41, 0.51, 0.46, 0.25, -0.52, -0.41, 0.02, 0.05, 0.02, 
##     -0.16, -0.25, -0.26, -0.21, -0.18, -0.52, -0.61, -0.54, -0.48, 
##     -0.41, -0.38, -0.34, -0.41, -0.56, -0.69, -0.74, -0.75, -0.67, 
##     -0.54, -0.38, -0.26, -0.28, -0.07, 0.25, 0.46, 0.1, 0.05, 
##     0.1, 0.13, 0.31, 0.41, 0.33, 0.33, 0.16, 0.13, 0.18, 0.38, 
##     0.26, 0.02, 0.03, 0.38, 0.41, 0.51, 0.52, 0.28, 0.02, -0.02, 
##     0.07, 0.2, 0.2, 0.18, 0.1, 0.18, 0.31, 0.36, 0.26, 0.21, 
##     0.16, 0.15, 0.16, 0.15, 0.08, -0.1, 0.07, 0.07, 0.15, 0.25, 
##     0.52, -0.23, -0.11, 0.05, 0.21, 0.3, 0.2, 0.08, -0.52, -0.52, 
##     -0.48, -0.43, -0.38, -0.03, 0.2, 0.02, -0.08, -0.21, -0.57, 
##     -0.48, -0.41, -0.28, -0.15, -0.15, -0.1, -0.08, -0.05, -0.08, 
##     -0.03, 0.03, 0.05, 0.08, -0.05, -0.1, 0.02, 0.16, 0.18, 0.16, 
##     -0.57, -0.62, -0.54, -0.31, -0.05, 0.23, 0.28, 0.16, 0.07, 
##     0.03, 0.02, 0.08, 0.08, 0.1, 0.11, 0.1, 0.02, 0.1, 0.25, 
##     0.26, 0.26, 0.26, 0.28, 0.31, 0.33, 0.18, 0.67, 0.41, -0.64, 
##     -0.23, 0.25, 0.33, 0.21, 0.08, -0.23, -0.34, -0.41, -0.44, 
##     -0.31, 0.1, 0.02, -0.05, -0.08, -0.41, -0.05, 0.21, 0, 0.13, 
##     0.08, 0.02, 0.08, 0.1, 0.1, 0.05, -0.05, 0.07, 0.18, 0.08, 
##     0.1, 0.15, 0.16, 0.2, 0.25, 0.36, 0.41, 0.43, 0.39, 0.26, 
##     0.16, 0.07, 0.11, 0.25, 0.21, 0.11, 0.1, 0.11, 0, 0.07, 0.28, 
##     0.34, 0.38, 0.39, 0.3, 0.11, 0.34, 0.41, 0.44, 0.51, 0.52, 
##     0.52, 0.33, 0.2, -0.08, -0.11, -0.03, 0.18, 0.2, 0.2, 0.25, 
##     0.2, 0.13, 0.16, 0.05, 0.05, 0, -0.11, -0.16, -0.26, -0.41, 
##     -0.36, -0.26, -0.28, -0.64, -0.64, -0.36, -0.23, 0.11, 0.2, 
##     0.16, 0.08, -0.03, 0.15, 0.18, 0.25, 0.26, 0.26, 0.26, 0.26, 
##     0.26, 0.2, 0.56, 0.56, 0.54, 0.48, 0.34, 0.13, -0.02, -0.05, 
##     -0.02, 0.03, 0.05, 0.07, 0.15, 0.13, 0.07, 0.13, -0.2, -0.28, 
##     0.48, 0.16, -0.41, -0.54, -0.36, -0.23, -0.07, 0.28, 0.23, 
##     0.11, 0.07, 0.05, -0.18, -0.11, -0.08, -0.16, -0.11, -0.15, 
##     -0.13, -0.03, -0.03, -0.67, -0.74, -0.75, -0.15, -0.15, -0.18, 
##     -0.21, -0.15, 0.15, 0.11, 0.07, -0.02, 0.07, 0.11, 0.15, 
##     0.13, 0.03, 0.05, 0.07, 0.03, 0.05, 0.13, 0.28, 0.28, 0.25, 
##     0.26, 0.28, 0.25, 0.21, 0.28, 0.48, 0.51, 0.39, 0.33, 0.33, 
##     0.38, 0.56, 0.69, 0.77, -0.1, -0.1, -0.1, -0.05, 0.07, 0.1, 
##     0.21, 0.26, 0.33, 0.3, 0.28, 0.26, 0.41, 0.48, 0.64, 0.59, 
##     0.57, 0.49, 0.51, 0.52, 0.49, 0.26, 0.05, -0.18, -0.39, -0.15, 
##     -0.23, -0.28, -0.28, -0.34, -0.18, -0.15, -0.11, -0.26, -0.39, 
##     -0.39, -0.44, -0.46, -0.39, -0.16, -0.07, 0.07, 0, -0.07, 
##     -0.16, -0.2, -0.11, -0.02, 0.07, 0.08, 0.07, 0.21, 0.23, 
##     0.18, 0.07, 0.03, 0.28, 0.48, 0.51, 0.49, 0.48, 0.44, 0.39, 
##     0.43, 0.66, 0.77, 0.62, 0.31, 0.18, 0.13, 0.07, -0.02, 0, 
##     -0.08, -0.08, -0.11, -0.21, -0.25, -0.25, -0.46, -0.36, -0.23, 
##     -0.48, 0.18, 0, 0.13, 0.15, 0.13, 0.15, 0.25, 0.18, 0.11, 
##     0.11, 0.49, 0.44, 0.48, 0.51, 0.54, 0.57, 0.52, 0.48, 0.54, 
##     0.41, 0.25, 0.08, -0.05, -0.13, -0.1, -0.05, 0.1, 0.15, -0.15, 
##     -0.3, -0.39, -0.56, -0.03, 0.98, 0.74, 0.66, 0.67, 0.79, 
##     1.1, 1, 0.66, 0.66, 0.56, 0.56, 0.94, 1.36, 1.33, 1.2, 0.72, 
##     0.52, 0.38, 0.43, 0.75, 0.77, 0.94, 0.9, 0.74, 0.56, 0.64, 
##     0.77, 0.9, 1.03, 0.98, 0.9, 0.82, 1.02, 1.21, 1.3, 1.3, 1.39, 
##     1.53, 1.53, 1.43, 0.87, 0.11, 0.94, 1.07, 1.25, 1.3, 1.28, 
##     1.21, 1.08, 0.64, 0.48, 0.28, 0.03, 0.39, 0.69, 0.84, 0.61, 
##     0.51, 0.44, 0.41, 0.44, 0.49, 0.51, 0.75, 0.82, 0.8, 0.74, 
##     0.67, 0.62, 0.54, 0.54, 0.57, 0.57, 0.67, 0.69, 0.64, 0.57, 
##     0.54, 0.56, 0.64, 0.59, 0.62, 0.69, 0.77, 0.75, 0.97, 1.64, 
##     1.26, 1.12, 0.72, 0.57, 0.43, 0.49, 0.61, 0.87, 1.02, 0.95, 
##     0.9, 0.82, 0.74, 0.92, 1.03, 1.2, 1.2, 1.05, 0.89, 0.64, 
##     0.85, 0.74, 0.75, 0.75, 0.69, 0.52, 0.71, 0.77, 0.95, 1.07, 
##     1.02, 0.94, 0.74, 0.8, 0.9, 0.84, 0.71, 0.66, 0.64, 0.66, 
##     0.71, 0.77, 0.8, 0.89, 0.95, 0.95, 0.74, 0.34, 0.39, 0.46, 
##     0.54, 0.64, 0.69, 0.72, 0.71, 0.72, 0.57, 0.59, 0.67, 0.79, 
##     0.94, 0.87, 0.82, 0.8, 1.1, 1.12, 1.1, 1, 0.79, 0.79, 0.89, 
##     0.56, 0.57, 0.49, 0.51, 0.64, 0.92, 0.98, 0.75, 0.25, 0.23, 
##     0.34, 0.54, 0.8, 1.03, 1.25, 1.16, 1.02, 0.72, 0.54, 0.46, 
##     0.51, 0.62, 0.87, 0.84, 0.77, 0.44, -0.07, 0.03, 0.39, 1.07, 
##     1.05, 0.98, 0.84, 0.71, 0.64, 0.59, 0.54, 0.56, 0.62, 0.66, 
##     0.75, 0.92, 1.1, 1.12, 0.82, 0.62, 0.62, 0.87, 0.9, 0.9, 
##     0.94, 1.05, 1.26, 1.41, 1.53, 1.36, 0.57, 0.59, 0.82, 0.69, 
##     0.59, 0.57, 0.66, 0.57, 0.77, 0.87, 0.82, 0.75, 0.77, 0.74, 
##     0.67, 0.74, 0.82, 0.84, 0.84, 0.87, 0.92, 0.98, 0.97, 0.89, 
##     0.85, 0.79, 0.72, 0.92, 0.75, 0.71, 0.8, 0.54, 0.38, 0.56, 
##     0.69, 0.84, 0.95, 0.97, 0.67, 0.71, 0.85, 1.03, 0.79, 0.61, 
##     0.59, 0.67, 0.77, 0.87, 0.85, 0.9, 0.89, 0.71, 0.84, 0.84, 
##     0.61, 0.66, 0.69, 0.67, 0.64, 0.62, 0.61, 0.61, 0.57, 0.51, 
##     0.54, 0.59, 0.67, 0.77, 0.97, 1.03, 1.05, 1.05, 1.07, 1.16, 
##     0.75, 0.75, 0.75, 0.84, 0.85, 1.23, 1.02, 0.67, 0.57, 0.59, 
##     0.69, 0.64, 0.56, 0.33, -0.95, -0.92, -0.92, -0.9, -0.9, 
##     -0.98, -0.98, -0.85, -0.77, -0.13, 0.1, 0.44, 0.48, 0.38, 
##     0.26, 0.18, 0.39, 0.57, 0.72, 0.51, 0.34, 0.48, 0.64, 0.38, 
##     0.15, 0.05, 0.05, 0.08, 0.1, 0.1, 0.1, 0.07, 0.11, 0.2, 0.25, 
##     0.13, 0.08, 0.05, -0.08, -0.15, -0.18, -0.21, -0.28, -0.43, 
##     -0.52, -0.69, -0.79, -0.9, -1.07, -1.03, -0.66, -0.62, -0.89, 
##     -1.03, -1.07, -0.98, -0.77, -0.52, 0.25, 0.43, 0.54, 0.57, 
##     0.56, 0.52, 0.49, 0.34, 0.23, 0.39, 0.49, 0.41, 0.52, 0.46, 
##     0.36, 0.51, 0.54, 0.46, 0.44, 0.54, 0.54, 0.49, 0.41, 0.16, 
##     0.03, -0.07, -0.26, -0.25, -0.13, -0.03, -0.03, -0.02, 0.03, 
##     0.03, 0.05, 0.05, 0.02, -0.08, -0.18, -0.31, -0.48, -0.9, 
##     -0.89, -0.84, -0.46, -0.59, -0.74, 0.05, -0.11, -0.34, -0.18, 
##     0.18, 0.31, 0.21, -0.13, -0.26, -0.18, -0.15, -0.1, 0.15, 
##     0.21, 0.33, 0.26, 0.07, -0.05, -0.11, -0.18, -0.21, -0.21, 
##     -0.18, 0, 0.03, 0.02, -0.13, -0.2, -0.23, -0.38, -0.48, -0.61, 
##     -0.74, -0.94, -0.77, -0.69, -0.67, -0.69, -0.69, -0.61, -0.46, 
##     -0.31, -0.13, 0.05, 0.28, 0.28, 0.25, 0.61, 0.62, 0.57, 0.52, 
##     0.16, 0.13, 0.05, 0.15, 0.26, 0.33, 0.41, 0.57, 0.59, 0.56, 
##     0.69, 0.16, -0.39, -0.43, -0.36, -0.3, -0.15, -0.03, 0, 0.05, 
##     0.16, 0.18, 0.13, 0.07, 0, -0.11, -0.23, -0.46, -0.51, -0.61, 
##     -0.26, -0.16, -0.1, -0.15, -0.21, -0.3, -0.38, -0.43, -0.31, 
##     -0.28, -0.31, -0.41, -0.41, -0.36, -0.23, -0.11, 0.02, 0.18, 
##     0.48, 0.38, 0.3, 0.2, 0.18, 0.2, 0.25, 0.21, 0.33, 0.2, 0.2, 
##     0.52, 0.61, 0.59, 0.44, 0.21, -0.05, -0.69, -0.54, -0.21, 
##     -0.13, 0.05, 0.15, 0.2, 0.18, 0.13, 0.03, -0.49, -0.75, -0.79, 
##     -0.64, -0.41, -0.3, -0.3, -0.43, -0.49, -0.52, -0.52, -0.72, 
##     -0.66, -0.57, -0.25, -0.11, 0, 0.05, 0.31, 0.26, 0.08, 0.11, 
##     0.23, 0.23, 0.3, 0.44, 0.49, 0.2, 0.11, -0.1, -0.25, -0.18, 
##     -0.15, 0, 0.05, 0.08, 0.15, 0.16, 0.23, 0.66, 0.89, 0.9, 
##     0.52, -0.07, -0.25, -0.26, -0.13, 0.18, 0.23, 0.15, -0.26, 
##     -0.31, -0.56, -0.56, -0.52, -0.46, -0.34, -0.44, -0.56, -0.61, 
##     -0.71, -0.44, -0.33, -0.23, -0.18, -0.28, -0.02, 0.16, 0.39, 
##     0.2, 0.07, -0.05, 0.16, 0.3, 0.38, 0.33, 0.18, -0.03, 0.46, 
##     0.52, 0.49, 0.49, 0.56, 0.52, 0.15, -0.41, -0.69, -0.62, 
##     -0.52, -0.43, -0.31, -0.21, -0.18, -0.13, -0.1, 0.07, 0.02, 
##     -0.18, -0.8, -0.9, -0.98, -1.02, -0.97, -0.89, -0.67, -0.57, 
##     -0.52, -0.36, -0.34, -0.3, -0.21, -0.15, -0.16, -0.18, -0.2, 
##     -0.02, 0.26, 0.49, 0.52, 0.51, 0.49, 0.34, 0.21, 0.26, 0.43, 
##     0.56, 0.38, 0.38, 0.31, 0.07, -0.11, -0.18, -0.02, 0.23, 
##     0.26, 0.21, 0.02, 0, 0, -0.07, -0.11, -0.15, -0.18, -0.2, 
##     -0.2, -0.11, -0.02, 0.21, 0.34, 0.38, 0.36, 0.28, 0.1, -0.16, 
##     -0.2, -0.23, -0.21, -0.15, -0.26, -0.39, -0.74, -0.82, -0.75, 
##     -0.77, -0.82, -0.77, -0.75, -0.72, -0.64, -0.56, -0.46, -0.26, 
##     -0.07, 0.1, 0.23, 0.3, 0.31, 0.34, 0.38, 0.46, 0.51, 0.41, 
##     0.34, 0.33, 0.3, 0.16, 0.05, -0.02, -0.1, -0.11, 0.07, 0.15, 
##     0.25, 0.23, 0.26, 0.13, -0.3, -0.33, -0.21, -0.1, 0.02, 0.1, 
##     0.34, -0.38, -0.11, -0.03, 0.36, 0.48, 0.48, 0.44, 0.38, 
##     0.3, 0.2, 0.13, -0.13, -0.2, -0.13, -0.15, 0.33, 0.48, 0.56, 
##     0.46, 0.33, -1.51, -1.16, -0.67, -0.69, -0.66, -0.57, -0.97, 
##     -0.74, 0.72, 0.61, 0.85, 0.95, 0.89, 0.56, 0.64, 0.52, 0.36, 
##     0.34, 0.48, 0.46, 0.15, 0.16, 0.34, -0.05, -0.13, -0.28, 
##     -0.41, -0.41, -0.08, -0.07, -0.1, -0.18, -0.28, -0.48, -0.52, 
##     -0.64, -0.84, -0.98, -0.39, -0.57, -0.64, -0.71, -0.74, -0.75, 
##     -0.64, -0.52, -0.44, -0.23, -0.13, -0.07, 0.02, 0.11, 0.34, 
##     0.48, 0.48, 0.59, 0.75, 0.77, 0.79, 0.85, 1.21, 1.15, 1, 
##     0.38, 0.23, 0.1, -0.02, -0.02, 0.13, 0.16, 0.34, 0.33, 0.16, 
##     -0.11, -0.31, -0.38, -0.26, -0.05, -0.05, -0.08, -0.15, -0.2, 
##     -0.8, -0.95, -1.03, -1.02, -1.02, -1, -0.9, -0.62, -0.54, 
##     -0.51, -0.59, -0.69, -0.66, -0.36, -0.33, -0.28, -0.15, 0.56, 
##     0.61, 0.62, 0.59, 0.51, 0.56, 0.66, 0.94, 0.94, 0.64, 0.62, 
##     0.48, 0.26, 0.26, 0.34, 0.46, 0.51, 0.41, 0.36, 0.2, -0.07, 
##     -0.08, -0.15, -0.31, -0.43, -0.48, -0.56, -0.54, -0.52, -0.57, 
##     -1.07, -1.33, -1.28, -0.92, -0.49, -0.31, -0.28, -0.13, 0.11, 
##     0.38, 0.16, 0.16, 0.25, 0.56, 0.66, 0.62, 0.79, 0.82, 0.92, 
##     0.97, 0.85, 0.52, 0.59, 0.56, -0.11, -0.26, -0.08, -0.57, 
##     -0.54, -0.49, -0.46, -0.44, -0.34, -0.74, -0.92, -0.98, -0.61, 
##     -0.56, -0.51, -0.43, -0.49, -1.18, -1.07, -1.02, -0.61, -0.36, 
##     -0.18, -0.16, 0.38, 0.23, 0.28, 0.66, 1.1, 1.1, 0.48, 0.41, 
##     0.39, 0.16, 0.11, -0.31, 0.11, -0.03, 0.02, 0.07, 0.05, 0, 
##     -0.05, -0.02, 0.1, 0.07, 0.07, 0.08, 0.05, 0.03, 0.02, 0, 
##     -0.02, -0.02, -0.07, -0.11, -0.13, -0.11, -0.11, -0.11, -0.08, 
##     0, 0.03, 0.02, -0.02, -0.11, -0.2, -0.15, -0.1, -0.18, -0.25, 
##     -0.16, -0.2, -0.3, -0.49, -0.62, -0.62, -0.59, 0.39, 0.39, 
##     0.54, 0.66, 0.64, 0.51, 0.43, 0.33, 0.16, -0.03, -0.28, -0.49, 
##     -0.56, -0.46, -0.23, -0.15, -0.1, -0.36, -0.46, -0.41, -0.41, 
##     -0.51, -0.64, -0.56, -0.36, -0.38, -0.39, -0.43, -0.1, 0.28, 
##     0.44, 0.25, 0.13, 0.11, 0.1, 0.07, 0.49, 0.67, 0.69, 0.44, 
##     0.36, 0.34, 0.57, 0.52, 0.18, -0.52, -0.51, -0.13, 0.08, 
##     0.25, 0.21, -0.18, -0.18, -0.11, -0.03, -0.64, -0.62, -0.69, 
##     -0.67, -0.79, -0.75, 0.43, 0.64, 0.75, 1.07, 1.13, 1.16, 
##     1.21, 1.23, 0.97, 0.9, 0.64, 0.54, -0.48, -0.11, 1.33, 0.94, 
##     0.36, -0.64, -0.67, -0.61, -0.54, -0.1, 0, 0.25, 0.34, 0.13, 
##     0.15, 0.16, 0.26, 0.16, 0, -0.07, -0.02, 0.03, 0.08, 0, 0.03, 
##     0.16, 0.18, 0.18, 0.05, 0, -0.08, -0.08, -0.07, 0.02, 0.03, 
##     0.05, 0, 0.02, 0.03, 0.03, 0.03, 0.07, 0.13, 0.1, -0.02, 
##     0, 0.11, 0.03, -0.07, -0.05, -0.05, -0.07, -0.07, -0.02, 
##     0.03, 0, -0.03, -0.03, 0, -0.03, -0.05, 0.05, -0.08, -0.02, 
##     0.02, 0, 0, 0.02, -0.08, -0.2, -0.52, -0.59, -0.8, -0.87, 
##     -0.94, -0.94, -0.92, -1.18, -1.3, -0.92, -0.05, -0.03, 0.02, 
##     0.02, -0.03, -0.03, 0.02, 0, 0.08, 0.05, 0.31, 0.34, 0.1, 
##     -0.71, -0.71, -0.05, 0.18, 0.33, 0.39, 0.46, 0.41, 0.07, 
##     -0.15, -0.34, -0.36, -0.28, 0, -0.3, -0.28, -0.18, -0.16, 
##     -0.07, 0, -0.26, -0.46, -0.2, -0.1, 0.23, 0.36, 0.25, 0.1, 
##     -0.03, -0.05, 0.03, 0.21, 0.51, 0.48, 0.51, 0.67, 0.85, 0.66, 
##     0.44, 0.08, -0.31, -0.31, -0.26, 0.08, 0.03, -0.03, -0.05, 
##     -0.03, -0.11, -0.2, -0.34, -0.23, -0.15, -0.11, -0.18, -0.21, 
##     -0.16, -0.13, -0.1, -0.33, -0.59, -0.57, -0.31, 0.15, 0.23, 
##     0.13, -0.03, 0.43, 0.54, 0.36, 0.31, 0.18, 0.11, 0.15, 0.33, 
##     0.38, 0.3, 0.23, -0.61, -0.54, -0.41, -0.23, 0.05, 0.3, -0.25, 
##     -0.15, -0.11, -0.13, -0.11, -0.18, -0.21, -0.26, -0.3, -0.33, 
##     -0.43, -0.51, -0.74, -0.69, -0.11, 0.94, 0.87, 0.57, -0.34, 
##     -0.48, -0.41, -0.2, 0.05, 0.51, 0.59, 0.13, -0.15, -0.57, 
##     -0.69, -0.57, -0.52, -0.36, 0.16, 0.28, -0.39, -0.43, -0.23, 
##     -0.16, -0.1, -0.21, -0.2, -0.11, -0.57, -0.43, -0.13, 0.21, 
##     0.52, 0.69, 0.71, 0.57, 0.39, 0.21, -0.26, -0.31, -0.03, 
##     0.05, 0.15, 0.16, 0.03, -0.02, -0.08, -0.08, 0.26, 0.33, 
##     0.2, 0.1, -0.11, -0.2, -0.25, -0.16, 0.07, 0.1, 0.07, -0.03, 
##     -0.11, -0.07, -0.05, -0.05, -0.33, -0.71, -0.2, 0.21, 0.41, 
##     -0.1, -0.18, -0.23, -0.08, 0.02, 0.05, 0.05, 0, -0.18, -0.41, 
##     -0.67, -0.9, -1.13, -1.3, -1.12, -0.95, -0.8, -0.15, 0.85, 
##     1.18, 1.16, 0.05, -0.43, 0.15, 0.33, 0.69, 0.59, 0.52, 0.52, 
##     0.54, 0.38, 0.23, -0.25, -0.36, -0.28, -0.23, 0.2, -0.02, 
##     -0.36, -0.2, -0.11, -0.77, -0.9, -0.44, -0.31, 0.02, -0.1, 
##     -0.26, -0.11, 0.05, 0.34, 0.33, 0.33, 0.33, 0.41, 0.59, 0.72, 
##     0.77, 0.79, 0.8, 0.84, 0.69, 0.64, 0.33, 0.31, 0.07, 0.02, 
##     -0.3, -0.3, -0.2, -0.16, -0.18, -0.3, -0.43, -0.59, -0.67, 
##     -0.62, -0.34, -0.21, -0.31, -0.59, -0.79, -0.79, -0.59, -0.51, 
##     -0.39, -0.13, 0.28, -0.11, 0.08, 0.43, 0.77, 0.62, 0.51, 
##     0.41, 0.34, 0.59, 0.34, 0.2, 0.11, 0.1, 0.08, 0.07, -0.03, 
##     -0.1, -0.1, -0.1, -0.1, -0.18, -0.3, -0.34, -0.41, -0.48, 
##     -0.51, -0.3, -0.18, -0.15, -0.2, -0.52, -1.08, -0.97, -0.72, 
##     -0.36, 0.05, 0.38, 0.51, 0.57, 0.59, -0.02, 0.11, 0.23, -0.11, 
##     -0.26, -0.31, -0.36, 0.16, 0.28, 0.21, 0.13, -0.07, 0.02, 
##     0.16, 0.23, -0.43, -0.28, -0.18, 0.03, -0.02, -0.23, -0.25, 
##     0.02, 0.15, 0.44, 1.18, 1.28, 1.26, 1.16, 1.03, 0.59, 0.57, 
##     0.66, 0.75, 0.75, 0.74, 0.71, 0.69, 0.64, 0.54, 0.52, 0.56, 
##     -0.08, 0.92, 1.23, 1.31, 0.77, 0.75, 0.82, 0.94, 0.82, 0.74, 
##     0.71, 0.66, 0.69, 0.72, 0.9, 0.92, 0.79, 0.28, 0.02, 0.02, 
##     -0.02, 0.1, 0.94, 0.84, 0.62, 0.71, 0.79, 0.84, 0.87, 0.69, 
##     0.64, 0.64, 0.67, 0.77, 0.77, 0.75, 0.79, 0.82, 0.94, 1.12, 
##     1.18, 1.18, 1.07, 1.21, 1.28, 1.25, 0.94, 0.92, 1.08, 1.33, 
##     1.28, 1.05, 0.92, 0.67, 0.43, 0.31, 0.26, 1.21, 1.28, 1.26, 
##     1.21, 0.98, 0.84, 0.69, 0.49, 0.54, 0.26, 0.38, 0.69, 0.79, 
##     0.89, 0.84, 0.64, 0.31, 0.59, 0.9, 0.75, 0.54, 0.57, 0.66, 
##     0.67, 0.69, 0.79, 0.79, 0.74, 0.72, 0.89, 1, 1.02, 1.07, 
##     0.84, 0.87, 0.85, 0.77, 0.66, 0.52, 0.38, 0.33, 0.41, 0.52, 
##     0.67, 0.77, 0.71, 0.64, 0.66, 0.62, 0.97, 1.07, 1.18, 0.67, 
##     0.67, 0.74, 0.71, 0.72, 0.77, 0.79, 0.82, 0.84, 0.84, 0.79, 
##     0.97, 1.59, 1.77, 1.74, 1.51, 0.84, 0.51, 0.26, -0.03, 0.13, 
##     0.3, 0.41, 0.41, 0.46, 0.57, 0.67, 0.66, 0.62, 0.64, 0.74, 
##     0.89, 0.97, 1, 1.05, 1, 0.95, 0.92, 0.36, 0.54, 0.71, 0.61, 
##     0.34, 0.23, 0.44, 0.89, 0.92, 0.92, 0.79, 0.69, 0.75, 0.77, 
##     1.03, 1.08, 1.03, 0.94, 0.87, 0.84, 0.87, 1.03, 1.13, 1.26, 
##     0.92, 0.8, 0.84, 0.92, 0.87, 0.8, 1, 1.02, 1.05, 0.84, 0.69, 
##     0.79, 1.08, 1.28, 1.33, 1.23, 1.03, 0.74, 0.41, 0.36, 0.95, 
##     0.97, 0.89, 0.75, 0.77, 0.8, 0.94, 1.21, 0.41, 0.75, 0.9, 
##     0.98, 0.98, 0.94, 0.75, 0.74, 0.71, 0.71, 0.67, 0.71, 0.77, 
##     0.77, 0.74, 0.71, 0.77, 0.87, 0.87, 1.02, 0.79, 0.72, 0.72, 
##     0.75, 0.92, 0.94, 1.1, 1.1, 1, 0.95, 1, 0.98, 0.72, 0.75, 
##     0.92, 0.92, 0.67, 0.72, 0.85, 0.31, 0.41, 0.67, 0.92, 0.84, 
##     0.66, 0.66, 0.67, 0.75, 0.82, 0.94, 0.87, 1.05, 0.97, 0.8, 
##     0.67, 0.34, 0.36, 0.62, 0.92, 0.97, 0.74, 0.72, 0.67, 0.67, 
##     0.66, 0.77, 0.9, 0.98, 0.85, 0.72, 0.8, 0.89, 0.95, 0.95, 
##     0.89, 0.85, 0.57, 0.54, 0.48, 0.43, 0.57, 1.1, 1.21, 0.84, 
##     0.74, 0.79, 0.8, 0.59, 0.62, 0.64, 0.64, 0.69, 0.72, 0.74, 
##     0.75, 0.74, 0.66, 0.79, 0.8, 0.77, 0.79, 0.72, 0.64, 0.51, 
##     0.38, 0.34, 0.59, 0.82, 0.69, 0.41, 0.54, 0.85, 1, 1.2, 0.52, 
##     0.38, 0.62, 0.8, 0.48, 0.44, 0.52, 0.71, 0.67, 0.59, 0.85, 
##     0.89, 1.08, 1.15, 0.89, 0.82, 0.75, 0.66, 0.54, 0.43, 0.67, 
##     0.77, 0.87, 0.95, 0.94, 0.94, 0.95, 1.12, 1.21, 1.18, 1.18, 
##     1.16, 1.12, 1.03, 0.98, 0.69, 0.82, 0.9, 0.64, 0.54, 0.48, 
##     0.52, 0.62, 0.98, 0.98, 0.92, 0.92, 1.08, 1.12, 0.94, 0.54, 
##     0.16, 0.69, 0.77, 0.74, 1.23, 1.26, 1.26, 1.26, 1.16, 0.84, 
##     0.77, 0.51, 0.59, 0.67, 0.72, 0.67, 0.51, 0.39, 0.41, 0.41, 
##     0.48, 0.72, 0.69, 0.56, 0.62, 0.66, 0.69, 0.72, 0.84, 0.87, 
##     0.9, 0.84, 0.8, 0.75, 0.71, 0.69, 0.69, 0.72, 0.82, 0.84, 
##     0.82, 0.85, 0.84, 0.94, 0.97, 0.9, 0.98, 1.05, 1.02, 1.03, 
##     0.97, 0.9, 0.66, 0.57, 0.54, 0.64, 0.56, 0.56, 0.62, 0.64, 
##     0.72, 0.72, 0.56, 0.51, 0.41, 0.39, 0.39, 0.38, 0.21, -0.11, 
##     0.07, 0.1, 0.15, 0.31, 0.31, 0.33, 0.56, 0.48, 0.61, 0.69, 
##     0.75, 0.74, 0.66, 0.61, 0.61, 0.87, 0.61, 0.51, 0.52, 0.8, 
##     0.72, 0.9, 0.92, 0.9, 0.87, 0.98, 1, 1.02, 1.07, 1.07, 1.05, 
##     1.03, 1.26, 1.25, 1.38, 1.03, 1, 1.07, 1.18, 1.33, 1.3, 1.16, 
##     1.16, 0.97, 0.2, 0.64, 0.54, 0.36, 0.33, 0.66, 0.94, 0.87, 
##     0.77, 0.66, 0.54, 0.75, 0.66, 0.69, 0.8, 0.97, 0.98, 0.97, 
##     0.43, 0.49, 0.75, 1.1, 0.92, 0.38, 0.56, 1.21, 1.03, 0.92, 
##     0.75, 1.15, 1.08, 0.64, 0.36, 0.33, 0.33, 0.46, 1.16, 1.3, 
##     1.31, 1.33, 1.13, 0.97, 0.92, 0.82, 0.85, 0.94, 0.75, 0.64, 
##     0.54, 0.49, 0.54, 0.66, 0.94, 0.95, 0.94, 0.89, 0.87, 0.87, 
##     0.89, 0.97, 1.02, 1, 0.94, 0.77, 0.74, 0.75, 0.87, 1.07, 
##     1.16, 0.98, 0.75, 0.67, 1.02, 0.82, 0.61, 0.26, 0.72, 1.23, 
##     1.05, 0.98, 0.98, 1.03, 0.46, 0.49, 0.59, 0.79, 0.98, 1.15, 
##     1.07, 0.89, 0.66, 0.34, 0.02, -0.15, 1.03, 1.18, 1.23, 1.12, 
##     0.75, 0.46, 0.38, 0.38, 0.41, 0.52, 0.75, 0.85, 0.92, 0.85, 
##     0.54, 0.75, 0.84, 0.89, 0.87, 0.79, 0.44, 0.62, 0.79, 0.94, 
##     1.18, 1.1, 1.07, 1.16, 1.41, 1.31, 1.02, 0.89, 0.85, 0.82, 
##     0.85, 0.9, 0.98, 1, 0.89, 0.85, 0.89, 0.89, 0.94, 0.94, 0.87, 
##     0.87, 0.87, 0.85, 0.85, 0.87, 0.9, 0.61, 0.51, 0.92, 1.38, 
##     1.56, 1.41, 1.1, 0.74, 0.34, -0.18, -0.2, -0.03, 0.2, 0.46, 
##     0.72, 1.21, 1.07, 0.95, 0.8, 0.56, 0.49, 0.48, 0.62, 0.92, 
##     0.97, 0.97, 1.03, 0.52, 0.59, 0.66, 0.59, 0.38, 0.03, -0.26, 
##     0.13, 0.52, 0.87, 1.05, 1.1, 0.92, 0.69, 0.62, 0.62, 0.62, 
##     0.54, 0.54, 0.57, 0.64, 0.71, 0.72, 0.48, 0.44, 0.48, 0.69, 
##     0.82, 0.94, 1.02, 0.67, 0.54, 0.64, 0.72, 0.84, 0.8, 0.74, 
##     0.64, 0.66, 0.71, 1.05, 1, 0.8, 0.69, 1.08, 1.1, 1.08, 0.98, 
##     0.48, 0.39, 0.43, 0.52, 0.64, 0.72, 0.85, 0.97, 1.02, 1.03, 
##     0.85, 0.64, 0.56, 0.54, 0.94, 1.13, 1.1, 1.05, 0.98, 0.74, 
##     0.74, 0.77, 0.89, 0.97, 0.98, 0.98, 0.97, 0.95, 0.95, 0.92, 
##     0.82, 0.84, 0.72, 0.82, 0.67, 0.54, 0.69, 0.79, 0.87, 0.92, 
##     0.79, 0.67, 0.54, 0.77, 0.71, 0.72, 0.56, 0.44, 0.31, 0.41, 
##     0.77, 1.31, 1.3, 0.79, 0.77, 0.89, 0.85, 0.79, 0.64, 0.59, 
##     0.54, 0.62, 0.71, 0.67, 0.41, 0.15, -0.33, 0.15, 0.49, 0.82, 
##     1.26, 1.28, 1.13, 0.64, 0.57, 1.1, 0.71, 0.56, 0.54, 0.48, 
##     0.56, 0.54, 0.8, 1.18, 1.23, 1.3, 1.12, 0.92, 1.3, 0.85, 
##     0.66, 0.28, 0.36, 0.44, 0.77, 0.89, 0.89, 0.82, 0.79, 0.85, 
##     0.82, 0.8, 0.67, 0.84, 0.92, 0.89, 0.85, 0.8, 0.75, 0.72, 
##     0.77, 0.82, 0.87, 0.85, 0.85, 0.87, 0.92, 0.92, 0.84, 0.72, 
##     0.59, 0.71, 0.71, 0.52, 0.46, 0.48, 0.52, 0.77, 0.8, 0.77, 
##     0.79, 0.82, 0.89, 0.9, 0.67, 0.54, 0.48, 0.39, 0.33, 0.54, 
##     0.71, 0.66, 0.43, 0.1, 0.02, 0.38, 0.51, 0.36, 0.26, -0.1, 
##     -0.16, -0.3, -0.3, -0.1, -0.1, -0.18, -0.23, -0.28, -0.3, 
##     -0.25, -0.18, 0.36, 0.36, -0.1, 0.13, 0.82, 0.75, 0.18, -0.25, 
##     -0.31, -0.2, -0.03, 0.23, 0.34, 0.31, 0.3, 0.38, 0.1, -0.05, 
##     -0.16, -0.23, -0.69, -0.59, -0.02, -0.07, -0.2, -0.26, -0.23, 
##     -0.11, 0.02, -0.03, -0.2, -0.2, -0.11, -0.02, 0.08, 0.15, 
##     0.03, -0.05, 0.03, 0.05, 0.03, -0.02, -0.74, -0.77, -0.61, 
##     -0.36, -0.07, 0.26, 0.26, -0.2, -0.34, -0.34, -0.69, -0.66, 
##     -0.51, 0.02, 0.03, -0.02, -0.03, 0.03, 0.02, 0.02, 0.02, 
##     0.02, 0.03, 0.03, 0.07, 0.08, 0.07, 0.08, -0.71, -0.62, -0.54, 
##     -0.44, -1.33, -1.38, -1.1, -0.92, -0.07, -0.02, 0, 0, 0, 
##     0.02, 0.28, 0.33, 0.36, 0.31, 0.23, 0.43, 0.31, 0.21, 0.07, 
##     0.2, 0.28, 0.02, 0, 0.05, 0.02, 0.03, 0.08, 0.05, -0.34, 
##     -0.34, -0.2, -0.02, 0.18, 0.23, 0.18, 0.1, -0.18, -0.33, 
##     -0.46, -0.69, -0.72, -0.36, -0.51, -0.75, -1.02, -1.08, -1.08, 
##     -1.12, -0.85, -0.62, 0.03, 0.21, 0.36, 0.34, 0.31, 0.28, 
##     0.28, 0.23, 0.16, 0.1, 0.2, 0.34, 0.39, 0.54, 0.54, 0.41, 
##     0.44, 0.43, 0.57, 0.62, 0.82, 0.95, 0.28, 0.44, 0.44, 0.72, 
##     0.49, 0.13, -0.02, -0.13, -0.25, -0.38, -0.51, -0.52, -0.46, 
##     -0.28, -0.07, 0.05, 0.11, 0.13, -0.15, -0.72, -0.75, -0.74, 
##     -0.64, -0.54, -0.39, -0.34, -0.74, -0.77, -0.79, -0.87, -0.59, 
##     -0.11, 0.18, 0.41, 0.69, 0.67, 0.59, 0.16, 0.05, 0.16, 0.26, 
##     0.34, 0.62, 0.57, 0.52, 0.52, 0.57, 0.57, 0.44, 0.36, 0.36, 
##     0.43, 0.74, 0.59, 0.41, 0.13, -0.11, -0.3, -0.18, -0.1, 0.25, 
##     0.2, 0.16, -0.18, -0.23, -0.41, -0.43, -0.43, -0.64, -0.64, 
##     -0.54, -0.51, -0.39, 0.23, -0.11, -0.07, -0.07, -0.07, -0.61, 
##     -0.64, -0.43, -0.1, -0.41, -0.26, -0.08, 0.07, -0.02, -0.02, 
##     -0.02, -0.05, 0.08, 0.2, 0.15, 0.1, 0.13, 0.3, 0.39, 0.46, 
##     0.49, 0.49, 0.2, 0.02, -0.08, -0.28, -0.39, -0.38, -0.34, 
##     -0.71, -0.56, -0.41, 0.1, 0.21, 0.08, 0, 0.08, 0.15, 0.11, 
##     0.13, 0.23, 0.31, 0.36, 0.52, 0.54, 0.62, 0.67, 0.84, 1.15, 
##     0.84, 0.3, -0.18, -0.51, -0.77, -0.66, 0.02, 0.25, 0.26, 
##     0.21, 0.16, -0.59, 0.74, 0.62, 0.52, 0.31, 0.3, 0.33, 0.25, 
##     0.28, 0.44, 0.52, 0.44, 0.43, 0.38, 0.3, 0.26, 0.16, 0, -0.23, 
##     -0.41, -0.28, -0.03, -0.31, -0.39, -0.44, -0.46, -0.43, -0.41, 
##     -0.18, 0.02, 0.08, -0.56, -0.48, -0.54, -0.56, -0.59, -0.64, 
##     -0.67, -0.77, -0.87, -0.66, -0.34, 0.13, 0.33, 0.41, -0.25, 
##     0.16, 0.43, 0.44, 0.36, 0.26, 0.33, 0.33, 0.39, 0.39, -0.15, 
##     -0.23, -0.25, -0.31, -0.11, -0.16, 0.38, 0.41, 0.51, 0.36, 
##     0.36, 0.21, 0.44, 0.66, 0.82, 1.41, 1.46, 1.41, 1.41, 1.51, 
##     1.99, 2.66, 2.95, 3.02, 2.99, 2.69, 2.49, 2.4, 2.18, 2.12, 
##     1.56, 1.15, 0.59, 0.31, -0.31, -0.49, -0.23, -0.11, 0.1, 
##     0.15, 0.18, 0.13, 0.64, 1.08, 0.69, 0.74, 0.71, 0.66, 0.67, 
##     0.38, 1.12, 0.64, 0.26, -0.07, -0.56, -0.39, -0.1, 0.15, 
##     0.3, 0.46, 0.77, 0.74, 0.66, 0.74, 0.75, 0.51, 0.38, -0.33, 
##     -0.33, 0.67, 0.79, 0.64, 0.85, 0.87, 0.62, 0.44, 0.52, 0.54, 
##     0.59, 0.69, 0.71, 0.75, 0.82, 0.98, 0.95, 1.05, 1.36, 1.44, 
##     1.28, 1.07, 0.84, 0.41, 0.31, 0.3, 0.57, 0.31, 0.62, 0.69, 
##     0.61, 0.57, 0.54, 0.54, 0.57, 0.66, 0.84, 0.89, 0.75, 0.87, 
##     0.41, 0.03, -0.15, -0.28, 0.25, 0.21, 0.33, 0.33, 0.41, 0.94, 
##     0.79, 0.41, 0.48, 0.36, 0.85, 0.97, 1.03, 0.98, 0.67, 0.75, 
##     0.77, 0.95, 0.97, 0.82, 0.72, 0.57, 0.67, 1.08, 1.13, 1.16, 
##     1.15, 0.85, 1.21, 1.69, 1.84, 1.77, 1.3, 1.02, 0.52, 0.56, 
##     0.79, 0.92, 0.97, 0.8, 0.75, 0.77, 0.79, 0.84, 0.72, 0.64, 
##     0.52, 0.31, 0.28, 0.48, 0.59, 0.77, 0.71, 0.62, 0.52, 0.28, 
##     -0.64, -0.77, -0.51, -0.46, 0.11, 0.23, 0.38, 0.56, 0.98, 
##     0.84, 0.79, 0.75, 0.72, 0.74, 0.75, 1.02, 1.41, 1.87, 1.69, 
##     0.92, 0.67, 0.39, 0.43, 0.49, 0.71, 0.82, 0.89, -0.03, -0.3, 
##     -0.39, -0.49, -0.77, -1.12, -1.48, -1.76, -1.77, -1.25, 0.51, 
##     0.34, -0.75, -0.95, -1.12, -1.02, -0.39, 0.72, 0.67, 0.49, 
##     0.07, -0.07, -0.11, -0.03, 0.11, 0.3, 0.43, 0.57, 0.69, 0.74, 
##     0.89, 0.95, 0.82, 0.59, 0.51, 0.52, 0.39, 0, -0.13, -0.15, 
##     -0.2, -0.16, -0.16, -0.23, 0, -0.07, -0.16, -0.34, -0.36, 
##     -0.38, -0.39, -0.41, -0.34, -0.39, -0.33, -0.28, -0.13, -0.2, 
##     -0.36, -1.03, -1.15, -1.16, -0.03, 0.26, 0.44, 0.49, 0.43, 
##     -0.05, 0, 0.08, 0.21, 0.39, 0.48, 0.49, 0.52, 0.62, 0.64, 
##     0.64, 0.61, 0.66, 0.59, 0.52, 0.54, 0.51, 0.41, 0.25, -0.02, 
##     -0.18, -0.26, -0.18, 0.02, -0.18, -0.25, -0.11, -0.11, -0.28, 
##     -0.43, -0.31, -0.31, -0.26, -0.21, -0.1, -0.1, -0.13, -0.3, 
##     -0.51, -0.61, -0.82, -0.94, -1.08, -0.77, -0.21, 0.43, 0.95, 
##     1.23, 1.12, 0.71, -0.15, -0.25, -0.21, -0.11, 0.03, 0.48, 
##     0.48, 0.49, 0.38, 0.33, 0.28, 0.16, 0.48, 0.51, 0.38, 0.25, 
##     0.11, -0.03, 0.03, -0.08, -0.15, -0.25, -0.25, -0.21, -0.1, 
##     -0.11, -0.2, -0.36, -0.59, -0.59, -0.71, -0.28, -0.15, -0.08, 
##     -0.07, -0.11, -0.21, -0.36, -0.48, -0.61, -0.66, -0.18, 0.15, 
##     0.44, 0.74, 0.66, 0.38, -0.26, -0.33, -0.15, 0.26, 0.51, 
##     0.48, 0.15, 0.13, 0.11, 0.07, 0.05, 0, -0.03, -0.05, -0.07, 
##     -0.07, -0.05, -0.1, -0.07, -0.07, -0.1, -0.11, -0.2, -0.2, 
##     -0.13, -0.13, -0.13, -0.21, -0.08, -0.07, -0.33, -0.39, -0.43, 
##     -0.46, -1.35, -1.28, -1.1, -0.62, -0.49, -0.72, -0.8, -0.79, 
##     -0.74, -0.62, -0.31, -0.07, 0.2, 0.48, 0.48, -0.23, -0.36, 
##     -0.34, 0.03, 0.25, 0.39, 0.44, 0.49, 0.51, 0.51, 0.54, 0.57, 
##     0.59, 0.52, 0.49, 0.18, 0.44, 0.67, 0.9, 1.08, 1.28, 1.23, 
##     1.03, 0.08, -0.11, -0.26, -1.05, -0.59, 0.11, 0.34, 0.31, 
##     -0.48, -0.64, -0.64, -0.52, -0.48, -0.51, -0.75, -1.03, -1.05, 
##     -0.98, -0.87, -0.79, -0.71, -0.62, -0.54, 0.43, 0.39, 0.38, 
##     0.38, 0.34, 0.3, 0.21, 0.15, 0.1, 0.16, 0.3, 0.33, -0.36, 
##     -0.3, -0.18, -0.08, 0, 0.07, 0.03, -0.05, -0.16, -0.31, -0.48, 
##     -0.67, -0.62, -0.66, -0.82, -0.94, -0.98, -0.98, -0.87, -0.71, 
##     -0.61, -0.57, -0.84, -0.97, -0.98, -0.97, -0.72, 0, 0.67, 
##     0.74, 0.49, 0.15, -0.36, -0.33, 0, 0.3, 0.41, 0.46, 0.44, 
##     0.52, 0.72, 0.39, 0.39, 0.57, 0.74, 0.36, 0.39, 0.33, 0.13, 
##     -0.67, -0.59, -0.49, 0.03, -0.1, -0.16, -0.34, -0.46, -0.95, 
##     -1.13, -1.18, -0.84, -0.52, -0.41, -0.72, -0.89, -0.64, -0.46, 
##     -0.36, 1.07, 0.31, -0.16, -0.46, -0.28, -0.02, 0.79, 0.9, 
##     0.87, 0.75, 0.87, 0.85, 0.8, 0.69, 0.61, 0.57, 0.49, 0.48, 
##     0.49, 0.41, -0.34, -0.54, -0.54, -0.49, -0.38, -0.16, -0.13, 
##     -0.11, -0.15, -0.13, -0.15, -0.51, -0.82, -0.92, -1, -0.97, 
##     -0.87, -0.67, -0.49, -0.11, -0.07, -0.15, -0.28, -0.62, -0.75, 
##     -0.77, -0.64, -0.44, -0.21, 0.44, 0.89, 0.95, 1.07, -0.18, 
##     -0.02, 0.08, 0.23, 0.3, 0.34, 0.46, 0.54, 0.56, 0.56, 0.59, 
##     0.52, 0.52, 0.56, 0.61, 0.56, 0.1, -0.02, -0.16, -0.13, 0.02, 
##     0.23, 0.13, 0.05, -0.02, -0.2, -0.2, -0.13, -0.08, -0.05, 
##     0.02, -0.05, -0.16, -0.28, -0.36, -0.41, -0.43, -0.54, -0.59, 
##     -0.48, -0.39, 0.21, 0.1, 0.07, -0.02, 0.02, 0.11, 0.2, 0.26, 
##     0.31, 0.28, 0, -0.15, -0.13, -0.05, 0.03, 0.08, 0.26, 0.33, 
##     0.36, 0.66, 0.79, 0.89, 1.1, 1.21, 1.15, 0.2, -0.16, -0.38, 
##     -1.38, -1.31, -0.97, -0.59, -0.33, -0.07, 0.11, 0.16, -0.25, 
##     -0.43, -0.46, -0.41, -0.26, -0.38, -0.46, -0.69, -0.44, 0.11, 
##     0.28, 0.07, -0.38, -0.66, -0.61, -0.07, 0.11, 0.3, 0.43, 
##     0.57, 0.75, 0.08, -0.25, -0.46, -0.49, -0.44, -0.21, -0.11, 
##     0.08, 0.48, 0.43, 0.49, 0.52, 0.62, 0.52, 0.31, -0.05, 0.05, 
##     0.23, 0.08, -0.15, 0.07, 0.36, 0.39, 0.36, -0.03, -0.16, 
##     -0.1, 0.46, 0.49, 0.51, 0.54, 0.56, 0.51, 0.43, 0.3, 0.16, 
##     0.02, -0.11, -0.2, -0.38, -0.44, -0.02, 0.21, 0.26, 0.05, 
##     -0.54, -0.69, -0.43, 0.2, 0.75, 0.92, 1.08, 1.08, 0.71, 1.03, 
##     1, 0.67, 0.08, 0.28, -0.03, -0.43, -0.8, -1.2, -1.41, -0.2, 
##     0.08, 0, -0.02, 0.2, 0.36, 0.49, 0.02, -0.36, -0.59, -0.54, 
##     0, 0.15, 0.26, 0.3, 0.28, 0.26, 0.16, 0.11, 0.1, -0.18, -0.25, 
##     -0.26, -0.2, 0.26, 0.31, -0.11, 0.15, 1.02, 1.13, 1.23, 1.2, 
##     0.57, -0.16, -0.05, 0.03, 0.26, 0.15, -0.07, -0.18, -0.39, 
##     -0.43, -0.3, -0.33, -0.54, -0.48, -0.41, -0.41, -0.16, 0.02, 
##     0.02, -0.13, 0.23, 0.38, -0.3, -0.69, -0.79, -0.15, 0.33, 
##     0.36, 0.33, 0.33, 0.36, -0.07, -0.23, -0.52, -0.69, -0.39, 
##     0.07, 0.26, 0.3, 0.25, -0.26, 0.11, 0.48, 0.92, 1.51, 0.41, 
##     0.25, 0.23, 0, 0.02, 0.1, 0.3, 0.41, 0.48, 0.92, 1.02, 0.69, 
##     0.82, 0.9, 0.98, 1.03, 1, 0.85, 0.77, 0.75, 0.79, 0.87, 0.94, 
##     0.9, 0.74, 0.48, 0.31, 0.26, 0.28, 0.33, 0.44, 0.71, 1.48, 
##     1.43, 0.33, 0.13, 0, -0.03, 0.61, 0.87, 0.97, 0.9, 0.9, 0.94, 
##     0.97, 0.92, 0.94, 0.9, 0.9, 0.79, 0.66, 0.84, 0.82, 0.84, 
##     1.07, 1.3, 1.26, 0.87, 0.44, 0.28, 0.16, 0.15, 0.13, 0.18, 
##     0.31, 0.98, 0.97, 0.92, 0.71, 0.89, 0.95, 0.98, 0.61, 0.2, 
##     0.38, 0.15, -0.1, 0.02, 0.21, 0.54, 1.53, 1.28, 0.72, 0.49, 
##     0.31, 0.34, 0.44, 0.79, 0.9, 0.59, 0.48, 0.69, 1.07, 1.02, 
##     0.94, 0.85, 0.82, 1.94, 1.53, 1.16, 0.82, 0.52, 0.26, 0.13, 
##     0.23, 0.74, 0.95, 0.75, 0.54, 0.08, 0.1, 0.41, 0.64, 1.21, 
##     0.92, 0.77, 0.51, 0.71, 0.92, 0.89, 0.56, 0.54, 0.71, 0.75, 
##     0.77, 0.71, 0.71, 0.71, 0.71, 0.72, 0.71, 0.66, 0.49, 0.44, 
##     0.51, 0.56, 0.72, 0.77, 0.74, 0.77, 0.67, 0.49, 0.3, 0.16, 
##     0.15, 0.46, 0.67, 1.33, 1.38, 1.02, 0.79, 0.66, 0.59, 1.08, 
##     1.08, 0.95, 0.62, 0.51, 0.69, 1.41, 1.1, 0.67, 0.31, 0.08, 
##     0.28, 0.87, 1.15, 1.33, 1.41, 1.41, 1.36, 1.38, 1.36, 1.31, 
##     1.3, 0.82, 0.71, 0.66, 0.56, 0.52, 0.94, 1.1, 1.05, 0.97, 
##     0.89, 0.8, 0.94, 1.12, 1.18, 1.18, 0.97, 0.84, 0.56, 0.48, 
##     0.41, 0.51, 0.61, 0.62, 0.57, 0.59, 0.98, 1.08, 1.16, 1.23, 
##     1.2, 1.12, 0.97, 0.8, 0.62, 0.25, 0.16, 0.08, 0.13, 0.1, 
##     0.18, 0.87, 0.92, 0.89, 0.8, 0.84, 1.03, 1.12, 1.31, 1.33, 
##     1.3, 1.2, 0.97, 0.89, 1.05, 1.1, 0.72, 0.69, 0.94, 1.05, 
##     1.18, 1.15, 1.03, 0.94, 0.71, 0.72, 0.75, 0.87, 0.98, 1.02, 
##     0.75, 0.59, 0.57, 0.57, 0.72, 0.87, 0.92, 1.03, 1.08, 1.12, 
##     1.13, 1.28, 1.3, 1.15, 1.03, 0.98, 0.98, 1.02, 1, 0.84, 0.61, 
##     0.52, 0.39, 0.33, 0.72, 0.98, 0.92, 0.74, 0.74, 0.77, 0.72, 
##     0.74, 0.72, 0.85, 0.89, 0.95, 0.72, 0.67, 0.67, 0.75, 0.74, 
##     0.64, 0.54, 0.46, 0.46, 0.46, 0.51, 0.74, 0.8, 0.87, 0.67, 
##     0.28, 0.21, 0.11, 0.1, 0.1, 0.13, 0.18, 0.26, 0.39, 0.77, 
##     0.84, 0.77, 0.67, 0.75, 0.8, 0.8, 0.8, 0.94, 0.95, 0.95, 
##     0.97, 1.13, 1.07, 0.98, 0.87, 0.75, 0.72, 0.8, 0.82, 0.94, 
##     1.1, 1.13, 1.18, 1.21, 1.13, 0.89, 0.8, 0.87, 1.03, 1.36, 
##     1.36, 0.69, 0.51, 0.26, 0.25, 0.26, 0.31, 0.41, 0.49, 0.62, 
##     0.71, 0.79, 0.8, 0.52, 0.33, 0.28, 0.66, 1.07, 1.77, 1.84, 
##     1.54, 1.21, 0.89, 0.59, 0.28, 0.41, 0.61, 0.72, 0.71, 0.62, 
##     0.57, 0.56, 0.59, 0.64, 0.8, 0.77, 0.75, 0.89, 0.94, 0.92, 
##     0.92, 0.9, 0.89, 0.87, 0.87, 0.89, 0.85, 0.82, 0.75, 0.72, 
##     0.71, 1.18, 1.12, 0.82, 0.75, 0.69, 0.62, 0.56, 1.1, 1.03, 
##     1.05, 0.94, 0.62, 0.52, 0.49, 0.54, 0.66, 0.85, 1.05, 0.94, 
##     0.74, 0.71, 0.75, 0.92, 1.07, 0.71, 0.44, 0.38, 0.34, 0.36, 
##     0.57, 0.61, 0.62, 0.61, 0.92, 1.08, 1.18, 1.21, 1.02, 0.9, 
##     0.59, 0.44, 0.26, 0.23, 0.62, 0.69, 0.61, 0.51, 0.41, 0.72, 
##     0.82, 0.8, 0.75, 0.75, 0.85, 0.84, 0.75, 0.77, 0.94, 0.95, 
##     0.95, 0.97, 1, 1.05, 1.16, 1.21, 1.23, 1.03, 0.92, 0.77, 
##     0.72, 0.75, 0.74, 0.79, 0.82, 0.84, 0.89, 1.36, 1.89, 2.1, 
##     2.23, 2.2, 1.97, 1.13, 0.57, 0.18, -0.25, -0.3, -0.23, -0.16, 
##     0.05, 0.52, 0.38, 0.3, 0.64, 1, 1.07, 1.12, 1.08, 0.9, 0.8, 
##     0.75, 0.71, 0.75, 0.77, 0.75, 0.71, 0.69, 0.59, 0.59, 0.61, 
##     0.61, 0.61, 0.66, 0.98, 1.08, 1.33, 1.26, 1.07, 0.98, 0.87, 
##     0.51, 0.61, 0.62, 1.26, 0.75, 0.72, 0.71, 0.8, 1.41, 1.51, 
##     1.46, 1.33, 0.87, 0.56, 0.36, 0.44, 0.3, -0.23, -0.41, -0.46, 
##     0, 0.31, 1.74, 1.77, 0.44, -0.07, -0.16, -0.08, 0.08, 0.75, 
##     1, 0.79, 0.44, 0.48, 0.54, 0.74, 1.02, 1.13, 0.89, 1.03, 
##     1.12, 1.16, 1.18, 1.16, 1.05, 0.77, 0.51, 0.95, 1.23, 1.44, 
##     1.51, 1.9, 1.82, 1.1, 0.48, 1.08, 1.15, 1.12, 0.57, 0.48, 
##     0.39, 0.51, 0.77, 1.1, 1.74, 1.12, 0.77, 0.49, 0.25, 0.33, 
##     0.48, 0.92, 1.15, 1.46, 1.28, 0.95, 0.08, 0.15, 0.21, 0.44, 
##     0.54, 0.56, 0.57, 0.36, 0.3, 0.66, 0.77, 0.9, 0.98, 0.9, 
##     0.79, 0.13, 0.26, 0.49, 0.9, 0.82, 0.71, 0.61, 0.51, 0.62, 
##     0.77, 0.9, 1, 1.08, 1.2, 1.13, 1.1, 0.97, 0.92, 0.9, 0.87, 
##     0.75, 0.66, 0.62, 0.72, 1.39, 1.36, 1.31, 0.71, 0.36, 0.2, 
##     0.28, 0.59, 1.38, 1.33, 1.03, 0.49, 0.33, 0.21, 0.05, 0.15, 
##     0.82, 1.03, 1.28, 1.31, 1.31, 1.28, 1.13, 0.95, 1.15, 1.13, 
##     1.13, 1, 0.44, 0.38, 0.46, 0.56, 0.97, 1.03, 1.07, 0.94, 
##     0.21, -0.02, -0.02, 0.66, 0.69, 0.82, 0.82, 0.82, 0.84, 1.05, 
##     1.07, 0.98, 0.92, 0.92, 0.85, 0.62, 0.44, 0.18, 0.48, 0.71, 
##     1.02, 1.25, 1.38, 1.12, 0.67, 0.54, 0.46, 0.43, 0.69, 1.13, 
##     1.05, 0.9, 0.8, 0.75, 1.02, 1, 0.87, 0.85, 0.94, 0.21, 0.13, 
##     0.02, -0.13, -0.61, -0.75, -0.72, -0.61, -0.49, -0.39, -0.23, 
##     0.08, 0.03, -0.46, -0.56, -0.59, -0.64, -0.64, -0.18, -0.07, 
##     0.02, 0.05, -0.05, -0.15, -0.23, -0.26, -0.18, -0.15, 0.39, 
##     0.43, 0.43, 0.36, 0.28, 0.16, -0.15, -0.11, -0.07, 0.05, 
##     0.49, 0.41, 0.34, 0.3, -0.21, -0.26, -0.2, -0.15, -0.08, 
##     -0.07, 0.08, 0.07, 0.11, 0.18, 0.21, 0.18, 0.15, 0.15, -0.08, 
##     -0.11, -0.13, -0.2, -0.21, -0.38, -0.46, -0.44, -0.38, -0.31, 
##     -0.23, -0.15, -0.21, -0.25, -0.26, -0.26, -0.28, -0.26, -0.15, 
##     -0.25, -0.38, -0.05, 0.3, 0.36, 0.34, 0.25, 0.16, 0.05, 0.02, 
##     0.15, 0.05, -0.07, 0.2, 0.36, 0.39, 0.38, 0.03, 0.07, 0.1, 
##     0.2, 0.2, 0.18, 0.13, 0.11, 0.07, 0.02, 0, 0.1, 0.2, 0.21, 
##     -0.02, -0.08, -0.11, -0.16, -0.21, -0.25, -0.31, -0.36, -0.36, 
##     -0.36, -0.39, -0.46, -0.67, -0.72, -0.72, -0.82, -1.02, -1.03, 
##     -1.08, -0.23, -0.13, -0.08, -0.08, -0.18, -0.3, -0.31, -0.2, 
##     0.05, 0.18, 0.16, -0.02, -0.15, -0.2, -0.25, -0.3, -0.26, 
##     -0.13, -0.07, -0.02, 0.21, 0.18, -0.03, -0.36, 0.02, 0.16, 
##     0.2, 0.2, 0.08, -0.02, -0.1, -0.16, -0.23, -0.18, -0.16, 
##     -0.13, -0.05, 0.08, 0, 0.1, 0.18, 0.16, 0.08, -0.02, 0.02, 
##     0.07, 0.1, 0.1, 0.11, 0.16, 0.1, -0.11, -0.21, -0.34, -0.39, 
##     -0.38, -0.36, -0.33, -0.28, -0.26, 0.03, 0.07, 0.08, 0, -0.41, 
##     -0.39, -0.33, -0.28, -0.08, -0.05, -0.02, 0.07, 0.15, 0.23, 
##     -0.03, -0.1, -0.13, -0.11, -0.08, 0.39, 0.33, 0.26, 0.23, 
##     0.08, -0.07, -0.13, -0.13, -0.11, -0.36, -0.46, -0.34, -0.28, 
##     0.03, 0, -0.05, -0.18, -0.08, 0.15, 0.21, 0.21, 0.07, 0, 
##     -0.11, -0.31, -0.33, -0.38, -0.26, -0.2, -0.07, -0.02, 0.2, 
##     0.18, 0.03, 0.02, -0.07, -0.11, -0.11, -0.1, -0.02, 0.1, 
##     0.13, 0.2, 0.1, 0.11, -0.21, -0.25, -0.3, -0.23, -0.07, -0.03, 
##     -0.08, -0.2, -0.15, -0.1, 0.02, 0.08, 0.1, 0.07, -0.02, -0.11, 
##     -0.44, -0.48, -0.46, -0.43, -0.33, -0.13, 0.02, -0.1, 0.28, 
##     0.25, 0.18, 0.31, 0.36, 0.21, 0.05, 0.07, 0.05, 0.3, 0.3, 
##     0.25, 0.08, -0.03, -0.1, -0.21, -0.15, 0.15, 0.11, 0.08, 
##     -0.3, -0.34, -0.34, -0.3, -0.28, -0.31, -0.28, -0.21, -0.28, 
##     -0.33, -0.31, -0.25, -0.16, 0.1, -0.07, -0.08, -0.11, -0.13, 
##     -0.18, -0.26, -0.26, -0.34, -0.36, -0.33, -0.31, -0.31, -0.23, 
##     -0.1, 0.05, 0.15, 0.16, 0.15, -0.02, -0.15, -0.25, -0.36, 
##     -0.41, -0.43, -0.13, 0.13, 0.56, 0.26, -0.1, -0.18, -0.15, 
##     0.18, 0.26, 0.13, -0.25, -0.33, -0.33, -0.33, -0.33, -0.33, 
##     -0.3, -0.25, -0.18, -0.08, 0.11, 0.16, 0.1, -0.11, -0.23, 
##     -0.31, -0.39, -0.39, -0.41, -0.41, -0.18, -0.07, 0, 0.02, 
##     0.07, -0.03, -0.11, -0.18, 0.18, 0.3, 0.39, 0.41, 0.38, 0.18, 
##     0.02, -0.08, -0.25, -0.23, -0.15, -0.07, -0.07, -0.02, -0.13, 
##     -0.16, -0.25, -0.31, -0.28, -0.28, -0.13, 0.07, -0.05, -0.21, 
##     -0.25, -0.13, -0.05, -0.1, -0.26, -0.26, 0.05, 0.56, 0.62, 
##     0.36, 0.13, 0.03, -0.07, 0, -0.34, -0.46, -0.61, -0.61, -0.62, 
##     -0.34, -0.08, -0.03, 0.16, 0.33, 0.23, -0.07, -0.05, -0.02, 
##     0.03, 0.15, 0.16, 0.18, 0.3, 0.36, 0.34, 0.25, 0.05, -0.07, 
##     0, 0.02, 0.02, 0.03, 0.03, -0.02, -0.03, -0.07, -0.03, 0, 
##     -0.11, -0.15, -0.15, -0.03, 0.03, 0.07, 0.03, -0.07, 0.15, 
##     0.21, 0.21, 0.16, 0.11, 0.08, 0.08, 0.08, 0.07, 0.03, 0.03, 
##     0.03, -0.02, 0, 0, 0, -0.03, -0.05, 0.03, 0.02, 0, -0.07, 
##     -0.05, -0.03, 0, 0.02, -0.05, -0.08, -0.05, 0.02, 0, -0.02, 
##     0, -0.02, -0.03, -0.07, 0, 0.02, 0, -0.08, -0.08, -0.05, 
##     -0.02, 0.03, 0.08, -0.05, -0.07, -0.08, -0.05, -0.02, 0.02, 
##     0, -0.03, -0.13, -0.05, -0.05, -0.1, -0.15, -0.23, -0.11, 
##     -0.02, 0.16, 0.2, 0.08, -0.02, -0.31, -0.36, -0.34, -0.02, 
##     0.11, 0.18, 0, -0.11, -0.15, -0.11, -0.05, 0.02, 0.1, 0.15, 
##     0.16, 0.13, 0.07, -0.02, 0.03, 0, -0.03, -0.08, -0.07, -0.03, 
##     -0.02, -0.05, -0.05, 0, 0.07, 0.02, -0.08, -0.08, -0.07, 
##     -0.03, -0.02, 0.05, -0.02, -0.03, 0, 0.07, 0.07, 0.02, 0.02, 
##     0, 0, 0, 0.03, 0.03, 0.03, 0.02, -0.03, -0.03, 0.05, 0.1, 
##     0.05, -0.08, -0.11, 0, 0, -0.03, -0.05, -0.07, -0.05, 0, 
##     -0.03, -0.03, -0.03, -0.03, -0.02, 0, 0.02, 0.03, 0.03, 0.02, 
##     -0.02, -0.05, 0.02, 0.03, 0.03, -0.07, -0.07, -0.02, -0.02, 
##     -0.02, -0.02, 0.03, 0.02, -0.02, -0.03, -0.03, 0, 0, -0.02, 
##     -0.07, -0.07, 0, -0.03, 0, 0.15, 0.13, 0.02, 0.08, 0.39, 
##     0.34, 0.46, 0.38, 0.44, 0.51, 0.51, 0.41, 0.82, 0.71, 0.3, 
##     0, -0.16, -0.2, -0.18, -0.21, -0.23, -0.2, -0.03, 0.05, 0.02, 
##     0.03, 0.03, 0.02, 0, 0.03, 0.08, 0.1, 0.11, 0.08, -0.03, 
##     -0.13, -0.18, -0.3, -0.49, -0.77, -1.1, -1.39, -1.44, -1.21, 
##     -0.95, -0.8, -1, -1.21, -1.43, -1.51, -1.53, -1.56, -1.61, 
##     -1.46, -0.85, -0.75, -0.74, 0.43, 0.56, 0.57, 0.54, 0.57, 
##     0.69, 0.8, 0.9, 1.1, 1.12, 1.07, 1.07, 0.82, 0.92, 0.82, 
##     0.72, 0.94, 1.12, 0.82, 0.82, 0.56, 0.3, -0.38, -0.59, -1.13, 
##     -1.2, -1.2, -1.16, -1.15, -1.18, -0.9, -0.9, -0.98, -0.85, 
##     -0.54, -0.46, -0.31, -0.23, -0.25, -0.33, -0.28, 0.62, 0.69, 
##     0.69, 0.64, 0.66, 0.8, 0.84, 1.03, 0.95, 0.48, 0.87, 0.94, 
##     1.25, 1.53, 1.44, 0.98, 0, -0.56, -1.18, -1.28, -1.31, -1.26, 
##     -1.25, -1.25, -1.02, 0.34, -1.38, -1.38, -1.28, -1.2, -1.21, 
##     -1.15, -0.94, -0.77, -0.82, -0.75, -0.69, -0.61, -0.75, -0.85, 
##     -0.82, -0.07, 0.61, 0.67, 0.54, 0.82, 1.16, 0.57, 0.41, 0.39, 
##     0.77, 0.92, 0.62, 0.54, 0.33, 0.03, -0.26, -0.33, -0.39, 
##     -0.51, -0.62, -0.72, -0.87, 1.28, 0.28, -0.07, -0.31, -0.46, 
##     -1.38, -1.2, -0.61, -0.46, -0.44, -1.16, -1.36, -1.31, -0.75, 
##     0.08, -1.51, -1.51, -1.51, -0.95, -0.95, -0.98, -0.98, -0.9, 
##     -0.89, -0.71, -0.39, -0.21, -0.3, -0.38, -0.41, -0.16, 0.31, 
##     0.46, 0.56, 0.52, 0.51, 0.64, 1.03, 1.25, 1.38, 0.84, -0.02, 
##     0.52, 0.62, 0.77, -0.21, -0.44, -0.51, -1.03, -1.28, -1.18, 
##     -1.05, -0.79, -0.97, -0.97, -0.69, 0.05, -0.15, -0.41, 0.69, 
##     0.54, 0.23, 0.18, 0.16, 0.26, 0.41, 0.66, 1.03, 1.1, 0.9, 
##     0.79, 0.43, 0.54, 0.77, 0.85, 0.74, 0.8, 0.94, 1.03, 1.16, 
##     1.1, 0.97, 0.89, 0.85, 0.84, 0.79, 0.84, 0.84, 0.87, 0.92, 
##     0.92, 0.89, 0.59, 0.59, 0.59, 0.54, 0.64, 0.79, 0.85, 0.84, 
##     0.89, 0.95, 0.89, 0.72, 0.71, 0.54, 0.62, 0.59, 0.67, 0.74, 
##     0.75, 0.74, 0.69, 0.54, 0.49, 0.43, 0.41, 0.48, 0.66, 0.75, 
##     0.84, 0.92, 0.94, 0.92, 0.79, 0.66, 0.67, 0.66, 0.71, 0.77, 
##     0.69, 0.43, 0.38, 0.34, 0.36, 0.59, 0.79, 1.39, 1.36, 1.21, 
##     1.02, 0.54, 0.61, 0.71, 1.13, 0.89, 0.8, 0.74, 0.92, 1.16, 
##     1.12, 0.87, 0.57, 0.56, 0.59, 0.51, 0.56, 0.72, 0.85, 0.9, 
##     0.9, 0.64, 0.48, 0, 0.15, 0.23, 0.33, 0.54, 0.89, 0.69, 0.59, 
##     0.62, 0.54, 0.72, 0.82, 0.89, 0.92, 0.97, 0.8, 0.67, 0.61, 
##     0.64, 0.71, 0.77, 0.77, 0.85, 0.92, 0.72, 1.3, 1.15, 0.79, 
##     0.71, 0.66, 0.71, 0.87, 0.95, 1.03, 1.12, 1.08, 0.92, 0.74, 
##     0.77, 0.84, 0.89, 1, 1.03, 0.89, 0.62, 0.59, 0.64, 0.8, 0.71, 
##     0.28, 0.36, 0.49, 0.54, 0.97, 0.69, 0.57, 0.54, 0.71, 0.74, 
##     0.75, 0.77, 0.69, 0.72, 0.87, 0.94, 0.9, 0.82, 0.72, 0.54, 
##     0.52, 0.56, 0.56, 0.59, 0.38, 0.07, -0.1, -0.02, 0.39, 0.79, 
##     1.08, 0.98, 0.66, 1.1, 1.15, 1.31, 1.38, 1.41, 1.41, 0.82, 
##     0.67, 0.72, 0.79, 0.82, 0.85, 0.84, 0.69, 0.69, 0.67, 0.69, 
##     0.72, 0.79, 0.87, 1.12, 1.1, 1.03, 0.87, 0.8, 0.72, 0.64, 
##     0.71, 0.98, 1.26, 1.12, 0.15, -0.1, -0.54, -0.43, -0.2, 0.16, 
##     0.62, 1.12, 1.08, 1.05, 0.75, 0.69, 0.67, 0.77, 0.8, 0.92, 
##     0.85, 0.8, 0.67, 0.59, 0.57, 0.66, 0.71, 0.87, 0.94, 0.92, 
##     0.85, 0.77, 0.64, 0.57, 0.69, 0.79, 0.82, 0.82, 0.69, 0.67, 
##     0.66, 0.59, 0.54, 0.52, 0.51, 0.49, 0.49, 0.49, 0.54, 0.54, 
##     0.52, 0.51, 0.52, 0.57, 0.64, 0.82, 0.74, 0.77, 0.79, 0.82, 
##     0.57, 0.57, 0.56, 0.54, 0.75, 0.75, 0.75, 0.77, 0.79, 1, 
##     1, 1.07, 1.16, 0.67, 0.61, 0.49, 0.26, 0.23, 0.26, 0.3, 0.54, 
##     0.61, 0.49, 0.39, 0.43, 1.35, 1.33, 1.05, 1.03, 0.94, 0.79, 
##     0.69, 0.64, 0.54, 0.54, 0.62, 0.79, 0.89, 0.92, 0.85, 0.87, 
##     0.89, 0.9, 0.89, 0.85, 0.85, 0.82, 0.69, 0.71, 0.61, 0.69, 
##     0.69, 0.79, 0.82, 0.54, 0.67, 0.79, 0.87, 0.9, 0.69, 0.92, 
##     0.98, 1.08, 1.16, 1.02, 0.89, 0.79, 0.84, 0.97, 1.13, 1.3, 
##     1.33, 1.18, 0.75, 0.67, 0.79, 0.74, 0.71, 0.95, 0.98, 0.97, 
##     0.92, 0.8, 0.48, 0.54, 0.52, 0.89, 1, 1.02, 1.15, 0.43, 0.31, 
##     0.11, -0.2, -0.13, 0.1, 0.62, 0.66, 0.61, 0.56, 0.52, 0.49, 
##     0.39, 0.51, 1.02, 1.31, 0.43, 0.03, 0.16, 0.28, 0.66, 0.57, 
##     0.52, 0.51, 0.84, 0.62, 0.44, 0.38, 0.48, 0.57, 0.67, 0.72, 
##     0.71, 0.74, 0.77, 0.52, 0.49, 0.59, 0.67, 0.85, 1.3, 1.54, 
##     1.48, 1.07, 0.66, 0.51, 0.56, 0.64, 0.75, 1.05, 0.98, 0.92, 
##     0.87, 0.87, 0.87, 0.94, 0.92, 0.89, 0.84, 0.28, 0.11, 0.15, 
##     0.46, 0.44, 0.39, 0.36, 0.38, 0.31, 0.3, 0.26, 0.82, 0.82, 
##     0.72, 0.87, 0.8, 0.72, 0.94, 1.05, 1.1, 1.16, 1.26, 0.82, 
##     0.79, 0.66, 0.8, 1.07, 1.13, 1.21, 1.41, 1.48, 1.12, 0.98, 
##     0.87, 0.69, 0.2, 0.72, 0.79, 0.61, 0.43, 0.2, 0.05, -0.02, 
##     0.02, 0.36, 0.62, 0.71, 0.72, 0.72, 0.74, 0.8, 1.61, 1.74, 
##     0.64, 0.08, -0.39, -0.89, -1.67, -0.95, -0.3, 0.66, 0.97, 
##     1.25, 1.38, 0.71, 0.11, 0.38, 0.8, 0.82, 0.84, 0.84, 0.82, 
##     0.79, 0.79, 0.77, 0.59, 0.59, 0.66, 0.59, 0.59, 0.71, 0.77, 
##     0.84, 0.92, 0.89, 0.87, 0.71, -0.2, -0.16, -0.13, -0.39, 
##     -0.33, -0.13, 0.23, 0.2, -0.08, -0.11, 0.36, 1.18, 1.15, 
##     0.82, 0.34, -0.52, 0.28, 0.72, 0.95, 0.98, 0.8, 0, -0.69, 
##     -0.95, -0.67, -0.1, 0.34, 0.31, 0.43, 0.31, 0.03, -0.13, 
##     0.13, 0.16, -0.28, -0.57, -0.74, -0.69, -0.08, 0.61, 0.51, 
##     -0.08, -0.18, -0.33, -0.51, -0.62, -0.71, -0.72, -0.61, -0.41, 
##     -0.26, 0.05, 0.16, 0.25, 0.1, -0.16, -0.15, -0.05, 0.03, 
##     0.46, 0.49, 0.46, -0.25, -0.05, 0.3, 0.79, 1.57, 1.38, -0.48, 
##     -0.56, -0.46, 0.05, 0.25, 0.39, 0.15, -0.11, -0.33, -0.72, 
##     -1.15, -1.44, -1.44, -0.48, 0.02, 1.18, 1.3, 1.26, 0.85, 
##     0.23, -0.16, -0.75, -0.67, -0.3, -0.21, -0.15, 0.16, 0.3, 
##     0.38, 0.43, 0.38, 0.2, 0, 0.05, 0.05, 0.03, -0.02, -0.03, 
##     -0.08, -0.1, -0.02, 0.11, 0.43, 0.54, 0.71, 0.87, 0.98, 1.13, 
##     1.05, 0.8, 0.26, 0.1, 0.56, 0.67, 0.79, 0.46, 0.3, 0.05, 
##     -0.46, -0.48, -0.67, -0.61, -0.52, -0.39, -0.28, 0.2, 0.28, 
##     -0.02, 0.08, 0.11, -0.21, -0.44, -0.51, -1.02, -1.1, -1.13, 
##     -1.26, -1.07, 0.31, 0.89, 1.15, 1.2, 1.07, 0.8, -0.25, -0.8, 
##     -0.8, -0.72, -0.39, 0.51, 0.41, 0.23, -0.15, -0.25, -0.18, 
##     -0.16, -0.3, -0.51, -0.74, -0.94, -1, -0.95, -0.79, -0.44, 
##     0.16, 1.76, 1.92, 1.8, 1.48, 0.57, 0.33, 0, -0.36, -0.87, 
##     -0.9, -0.77, -0.57, -0.11, -1.31, -1.13, -0.61, -0.1, -0.08, 
##     -0.18, -0.23, -0.1, 0.31, 0.67, 0.71, 0.72, 0.66, 0.44, 0.52, 
##     0.61, 0.84, 0.39, 0.52, 0.13, -0.03, 0.2, 0.21, 0.2, 0.21, 
##     0.25, 0.25, 0.43, 0.77, 0.56, 0.39, 0.11, 0.05, 0.07, 0.03, 
##     -0.2, -0.41, -0.44, -0.52, -0.48, -0.36, -0.15, -0.07, 0.03, 
##     0.11, 0.15, 0.11, 0.03, 0.1, 0.15, 0.16, 0.08, -0.03, -0.11, 
##     -0.21, -0.18, -0.15, -0.36, -0.18, 0.71, 0.95, 0.98, 0.77, 
##     0.64, 0.52, 0.56, 0.44, 0.43, 0.33, -0.05, 0.11, 0.44, 0.34, 
##     0.8, 0.97, 0.39, 0.07, -0.25, -0.61, -0.72, -0.74, -0.61, 
##     -0.59, -0.67, -0.89, -1, -0.95, -0.82, -0.56, -0.59, -0.62, 
##     -0.72, -1.08, -1.25, -1.05, -0.26, 0.46, 0.74, 0.94, 0.48, 
##     0.39, 0.39, 0.46, 0.64, 0.82, 0.72, -0.13, 0.94, 1.02, 1.1, 
##     1.1, 0.71, 0.98, 1.16, 1.41, 1.21, 1.12, 0.85, 0.62, 0.66, 
##     0.82, 1.05, 1.21, 1.15, 0.13, 0.51, 0.74, 0.95, 0.38, 0.39, 
##     0.44, 0.49, 0.56, 0.67, 1.08, 1.3, 1, 0.71, 0.72, 0.66, 0.31, 
##     0.13, 0.31, 0.28, 0.94, 0.95, 0.21, 0.02, -0.2, -0.46, -0.64, 
##     -0.98, -1.44, -1.18, -1.18, -1.15, -1.08, -0.98, -0.95, -0.95, 
##     -0.98, -0.43, -0.57, -0.9, -0.79, -0.57, 0.16, 0.49, 1.13, 
##     0.85, 0.61, 0.43, 0.64, 0.97, 0.67, 0.57, 0.61, 0.16, 0.13, 
##     -0.89, -0.74, -0.8, -0.95, -0.92, -0.72, -0.23, -0.52, -0.52, 
##     -0.16, 0.11, 0.3, 0.41, 0.57, 0.57, 0.51, 0.57, 0.61, 0.57, 
##     0.56, 0.59, 0.26, 0.08, 0.77, 1.57, 1.26, -0.07, -0.07, 0.05, 
##     0.08, 0.07, -0.1, -0.08, -0.05, 0.02, 0.02, 0, -0.02, -0.07, 
##     -0.08, -0.07, -0.07, 0.05, 0, -0.07, -0.07, 0, 0.07, 0.1, 
##     0.03, 0.02, -0.08, -0.1, -0.07, -0.03, 0.15, -0.13, -0.31, 
##     -0.33, -0.34, -0.28, -0.1, -0.05, 0.07, 0.13, 0.02, -0.08, 
##     -0.08, -0.07, 0.05, 0.23, 0.25, 0.18, 0.08, -0.28, -0.21, 
##     -0.15, 0.05, -0.08, -0.13, -0.02, -0.26, -0.31, -0.41, -0.1, 
##     0.11, 0.26, 0.28, 0.3, 0.2, 0.08, -0.25, -0.38, -0.28, -0.2, 
##     -0.21, -0.23, -0.23, -0.23, -0.23, -0.2, -0.31, -0.41, -0.33, 
##     0.07, 0.25, 0.33, 0.44, 0.49, 0.49, 0.56, 0.51, 0.25, 0.21, 
##     0.2, 0.2, 0.05, 0, -0.11, -0.11, -0.1, -0.1, -0.54, -0.57, 
##     -0.59, -0.11, -0.02, 0.48, 0.26, 0.08, 0.02, 0.15, -0.57, 
##     0.26, 0.69, 0.66, 0.43, -0.11, -0.28, -0.36, -0.41, -0.33, 
##     -0.15, -0.08, 0.07, 0.23, 0.33, 0.38, 0.46, 0.44, 0.43, 0.23, 
##     0.16, 0, -0.05, 0.08, 0.2, -0.21, 0.11, 0.08, 0.03, -0.08, 
##     -0.23, -0.48, -0.49, -0.43, -0.34, -0.16, 0.03, 0.11, 0.66, 
##     0.71, 0.94, 1.02, 1.03, 1.02, 0.31, 0.05, -0.02, 0.07, -0.08, 
##     -0.39, -0.57, -0.61, -0.98, -0.16, 0.33, 0.23, -0.21, -0.25, 
##     -0.23, 0.03, 0.3, 0, -0.02, 0.15, 1.13, 0.92, 0.33, 0.34, 
##     0.54, 0.28, 0.23, 0.21, 0.15, 0.11, 0.07, -0.05, -0.07, -0.05, 
##     -0.08, -0.07, -0.08, -0.03, 0.05, 0.2, 0.33, 0.34, 0.43, 
##     0.57, 0.54, 0.33, 0.07, -0.16, 0.13, 0.38, 0.57, 0.66, 0.02, 
##     0.11, -0.2, -0.36, -0.62, -0.61, -0.48, -0.23, -0.07, -0.07, 
##     -0.07, -0.21, -0.23, -0.18, -0.07, 0.28, 0.44, -0.1, -0.26, 
##     -0.34, -0.18, -0.07, 0.07, 0.33, -0.61, -0.46, -0.02, 0.15, 
##     0.57, 0.82, 0.21, -0.15, -0.48, -0.07, 0.66, 0.61, 0.56, 
##     0.33, 0.51, 0.54, 0.52, 0.51, 0.43, 0.18, 0.13, 0.15, 0.15, 
##     0.15, 0.38, 0.33, 0.21, 0.02, 0.03, 0.07, 0.1, 0.08, -0.05, 
##     -0.38, -0.36, -0.3, -0.21, 0.02, 0, -0.11, -0.3, -0.69, -0.69, 
##     -0.72, -0.69, -0.74, -0.77, -0.79, -0.75, -0.75, -0.67, -0.59, 
##     -1.08, -1.07, -0.79, 0.95, 0.61, 0.21, -0.46, -0.25, 0.07, 
##     0.36, 0.46, 0.39, 0.36, 0.43, 0.38, 0.61, 0.52, 0.46, 0.49, 
##     0.38, 0.52, 0.49, 0.48, 0.61, 0.56, 0.38, 0.48, 0.71, 0.67, 
##     0.62, -0.39, -0.36, -0.25, 0.16, 0.34, 0.44, 0.52, 0.48, 
##     0.39, 0.31, 0.25, 0.23, 0.1, -0.03, -0.02, 0.02, 0.07, 0.11, 
##     0.15, 0.28, 0.66, 0.26, 0.18, 0.56, 0.97, 1.1, 0.8, 0.66, 
##     0.62, 0.64, 0.77, 1.56, 1.49, 1.35, 1.18, 0.8, 0.69, 0.66, 
##     0.79, 0.28, 0.25, 0.21, 0.23, 0.49, 0.59), accel_arm_x = c(-288, 
##     -290, -289, -289, -289, -289, -289, -289, -288, -288, -290, 
##     -288, -287, -288, -289, -289, -289, -288, -289, -289, -288, 
##     -289, -290, -289, -289, -290, -289, -290, -290, -289, -290, 
##     -289, -290, -291, -290, -289, -290, -290, -289, -291, -289, 
##     -288, -289, -287, -290, -289, -289, -290, -288, -289, -289, 
##     -290, -287, -289, -285, -287, -290, -289, -289, -290, -290, 
##     -290, -289, -289, -288, -289, -289, -288, -289, -289, -290, 
##     -290, -290, -290, -289, -289, -290, -290, -288, -288, -290, 
##     -289, -288, -288, -290, -291, -289, -289, -289, -291, -290, 
##     -289, -290, -289, -289, -288, -290, -288, -289, -289, -290, 
##     -288, -289, -288, -286, -288, -289, -285, -286, -289, -290, 
##     -288, -291, -288, -288, -287, -286, -288, -288, -288, -288, 
##     -288, -287, -288, -288, -288, -287, -288, -289, -286, -289, 
##     -288, -287, -287, -287, -287, -288, -288, -288, -288, -287, 
##     -288, -286, -289, -286, -287, -289, -289, -287, -287, -286, 
##     -290, -289, -286, -289, -288, -286, -287, -287, -288, -286, 
##     -286, -287, -287, -289, -215, -212, -217, -217, -217, -216, 
##     -217, -216, -215, -216, -217, -215, -217, -216, -216, -215, 
##     -218, -216, -215, -215, -215, -219, -217, -218, -216, -217, 
##     -215, -216, -215, -217, -215, -219, -217, -212, -214, -216, 
##     -219, -217, -215, -214, -215, -216, -213, -3, -3, -5, -5, 
##     -2, -2, -1, -3, -5, -5, -5, -5, -4, -6, -8, -8, 5, 8, 6, 
##     2, 2, -1, 2, 1, -2, -3, -1, 0, -1, 1, -1, -1, -1, -1, 0, 
##     1, 4, -2, -2, -1, 0, -2, 1, -2, -2, -2, -1, -3, -2, -2, -5, 
##     -3, -5, -6, -3, 2, -2, -3, 0, 5, 4, 7, 11, 13, 12, 17, 21, 
##     25, 27, 27, 32, 38, 40, 50, 60, 72, 82, 92, 99, 109, 144, 
##     157, 164, 171, 189, 200, 272, 274, 287, 346, 354, 382, 392, 
##     428, 426, 434, 421, 420, 422, 420, 424, 417, 407, 396, 361, 
##     347, 345, 295, 301, 275, 248, 198, 209, 161, 98, 71, 22, 
##     -20, -22, -1, 11, 21, 6, 7, 11, 11, 14, 21, 23, 7, 34, 36, 
##     46, 52, 132, 138, 140, 164, 179, 221, 234, 258, 266, 276, 
##     371, 366, 374, 401, 407, 413, 416, 419, 415, 417, 415, 415, 
##     411, 405, 396, 406, 381, 362, 359, 360, 331, 319, 246, 198, 
##     172, 125, 70, 218, 233, 281, 295, 341, 369, 392, 405, 411, 
##     417, 416, 410, 411, 417, 425, 412, 413, 412, 414, 391, 349, 
##     324, 310, 312, 301, 290, 274, 273, 231, 141, 131, 120, 76, 
##     28, 30, 24, 15, 20, 20, 20, 16, 14, 11, 4, 2, -2, 0, 1, 4, 
##     3, 4, -1, 4, 16, 18, 26, 35, 41, 44, 47, 50, 70, 76, 148, 
##     176, 188, 196, 239, 245, 262, 292, 304, 326, 339, 368, 376, 
##     383, 398, 403, 413, 416, 418, 425, 430, 424, 418, 413, 383, 
##     293, 286, 272, 264, 210, 197, 195, 146, 141, 120, 119, 89, 
##     82, 87, 25, 13, 22, 23, 24, 19, 14, 5, 1, 9, 7, 9, 11, 11, 
##     5, 29, 37, 50, 58, 64, 89, 105, 121, 132, 144, 172, 168, 
##     174, 151, 120, 105, 118, 85, 74, 54, 35, 27, 15, 15, 16, 
##     19, 17, 17, 9, 13, 20, 31, 35, 40, 64, 83, 94, 138, 148, 
##     210, 219, 243, 286, 336, 403, 398, 402, 402, 399, 408, 402, 
##     400, 399, 406, 394, 376, 345, 340, 326, 313, 289, 277, 235, 
##     170, 154, 111, 97, 86, 63, 12, 9, 5, -5, -10, 12, 20, 10, 
##     12, 16, 17, 23, 27, 27, 32, 47, 60, 157, 170, 223, 257, 274, 
##     294, 336, 365, 392, 393, 409, 401, 392, 377, 368, 366, 7, 
##     12, 13, 14, 43, 64, 115, 127, 138, 152, 164, 185, 223, 245, 
##     278, 292, 304, 330, 357, 378, 388, 403, 406, 404, 408, 412, 
##     397, 397, 394, 11, 6, 14, 16, 22, 15, 22, 31, 37, 35, 61, 
##     73, 99, 137, 164, 217, 239, 263, 270, 342, 356, 389, 382, 
##     380, 386, 382, 361, 348, 347, 263, 175, 216, 223, 230, 243, 
##     279, 348, 348, 362, 376, 386, 400, 403, 397, 391, 387, 387, 
##     387, 383, 368, 344, 286, 245, 213, 165, 153, 150, 137, 139, 
##     136, 107, 84, 45, 33, 35, 32, -125, -124, -122, -121, -121, 
##     -120, -111, -117, -134, -137, -158, -160, -168, -173, -183, 
##     -202, -208, -214, -215, -219, -216, -214, -220, -220, -220, 
##     -223, -235, -237, -239, -242, -242, -237, -234, -227, -229, 
##     -234, -236, -236, -234, -232, -230, -226, -224, -226, -226, 
##     -220, -218, -215, -211, -214, -213, -211, -210, -212, -211, 
##     -209, -207, -206, -205, -204, -204, -210, -211, -210, -212, 
##     -215, -218, -219, -220, -220, -231, -226, -227, -229, -233, 
##     -236, -235, -234, -234, -234, -238, -244, -252, -260, -263, 
##     -289, -291, -272, -266, -268, -276, -279, -278, -277, -273, 
##     -271, -272, -272, -273, -274, -270, -271, -270, -271, -272, 
##     -279, -278, -277, -278, -276, -268, -269, -272, -274, -278, 
##     -278, -276, -273, -272, -274, -273, -276, -276, -277, -276, 
##     -276, -276, -279, -278, -278, -276, -278, -278, -278, -277, 
##     -277, -276, -276, -276, -278, -279, -283, -285, -283, -276, 
##     -274, -274, -276, -278, -277, -277, -278, -282, -286, -278, 
##     -275, -276, -276, -275, -277, -279, -280, -279, -279, -279, 
##     -279, -280, -279, -275, -276, -277, -278, -278, -280, -280, 
##     -279, -280, -280, -280, -279, -277, -278, -278, -278, -283, 
##     -283, -282, -279, -278, -279, -277, -277, -278, -275, -280, 
##     -280, -280, -276, -276, -276, -275, -273, -274, -274, -272, 
##     -273, -273, -270, -293, -293, -291, -289, -290, -282, -253, 
##     -268, -260, -242, -228, -204, -149, -133, -128, -111, -111, 
##     -72, -37, -7, 7, 60, 63, 93, -269, -270, -264, -266, -270, 
##     -271, -269, -266, -266, -265, -268, -269, -270, -271, -269, 
##     -271, -271, -270, -268, -267, -268, -267, -268, -267, -266, 
##     -266, -266, -265, -265, -255, -258, -265, -262, -251, -244, 
##     -246, -246, -244, -239, -235, -232, -237, -234, -236, -161, 
##     -159, -158, -156, -158, -157, -156, -151, -148, -148, -147, 
##     -144, -145, -139, -138, -135, -129, -130, -236, -235, -231, 
##     -229, -234, -232, -233, -232, -234, -234, -233, -232, -232, 
##     -232, -233, -234, -234, -233, -232, -233, -233, -234, -237, 
##     -236, -232, -236, -234, -237, -240, -237, -237, -237, -235, 
##     -233, -233, -237, -235, -235, -237, -237, -236, -236, -236, 
##     -237, -237, -237, -236, -239, -241, -243, -241, -237, -236, 
##     -236, -236, -246, -242, -237, -238, -235, -234, -232, -238, 
##     -242, -241, -241, -243, -234, -239, -239, -240, -238, -234, 
##     -239, -238, -239, -242, -237, -244, -243, -230, -238, -246, 
##     -247, -251, -247, -243, -242, -240, -233, -233, -232, -235, 
##     -236, -246, -244, -239, -242, -240, -239, -241, -239, -243, 
##     -240, -244, -236, -238, -243, -241, -243, -236, -234, -250, 
##     -239, -240, -242, -243, -238, -241, -243, -238, -244, -242, 
##     -242, -242, -241, -240, -236, -237, -235, -235, -238, -239, 
##     -234, -233, -229, -236, -234, -229, -230, -230, -230, -228, 
##     -227, -228, -227, -228, -226, -223, -219, -215, -211, -209, 
##     -209, -204, -277, -277, -276, -274, -275, -272, -270, -275, 
##     -275, -273, -274, -277, -277, -275, -277, -275, -277, -277, 
##     -279, -276, -277, -276, -277, -280, -278, -277, -277, -279, 
##     -281, -282, -286, -287, -285, -281, -285, -285, -287, -285, 
##     -283, -278, -275, -272, -271, -262, -266, -273, -267, -266, 
##     -260, -263, -269, -276, -280, -277, -281, -282, -280, -280, 
##     -278, -275, -45, -40, -22, 18, 33, 50, 57, 98, 107, 104, 
##     111, 121, 130, 130, 138, 146, 148, 147, 152, 157, 161, 160, 
##     156, 152, 152, 156, 147, 140, 130, 109, 101, 91, 76, 67, 
##     27, 28, -17, -16, -40, -65, -53, -102, -115, -113, -133, 
##     -141, -133, -188, -199, -199, -213, -212, -241, -254, -253, 
##     -238, -245, -250, -253, -258, -255, -255, -258, -266, -262, 
##     -269, -272, -270, -271, -269, -265, -249, -251, -245, 157, 
##     167, 158, 158, 161, 152, 145, 134, 126, 119, 112, 104, 98, 
##     74, 77, 51, 38, 45, 1, -2, 14, -9, -21, -42, -37, -118, -119, 
##     -170, -181, -194, -201, -209, -212, -214, -218, -224, -242, 
##     -244, -242, -241, -250, -256, -260, -262, -260, -266, -266, 
##     -263, -262, -251, -259, -214, -212, -171, -156, -145, -136, 
##     -119, -103, -67, -7, 14, 20, 38, 63, 88, 106, 137, 140, 145, 
##     153, 151, 160, 162, 163, 159, 167, 164, 163, 170, 167, 159, 
##     164, 165, 159, 160, 159, 159, 159, 143, 136, 132, 126, 119, 
##     108, 88, 80, 58, 39, 23, 7, 5, -19, -40, -50, -83, -86, -141, 
##     -162, -154, -149, -163, -180, -207, -210, -225, -253, -245, 
##     -244, -248, -253, -256, -260, -258, -264, -267, -269, -270, 
##     -267, -266, -270, -273, -265, -258, -256, -251, -232, -235, 
##     -226, -208, -215, -183, -152, -137, -101, -52, -4, 6, 57, 
##     87, 96, 99, 112, 127, 136, 147, 150, 152, 148, 148, 150, 
##     162, 159, 157, 157, 155, 145, 144, 138, 135, 134, 125, 110, 
##     113, 93, 59, 59, 45, 29, 25, 9, -9, -17, -84, -108, -115, 
##     -113, -152, -143, -130, -170, -175, -202, -230, -245, -261, 
##     -259, -250, -250, -257, -268, -269, -263, -272, -273, -270, 
##     -266, -268, -263, -244, -198, -195, -192, -168, -165, -113, 
##     -82, -71, -57, -43, 35, 49, -57, -56, -109, -94, -147, -147, 
##     -180, -205, -219, -218, -217, -257, -264, -266, -263, -265, 
##     -262, -261, -266, -267, -271, -271, -272, -273, -271, -273, 
##     -261, -265, -254, -246, -229, -213, -211, -205, -196, -175, 
##     -148, -127, -104, -43, -38, -32, 51, 72, 84, 105, 118, 124, 
##     130, 127, 142, 150, 149, 154, 154, 159, 157, 159, 156, 158, 
##     161, 162, 165, 162, 163, 162, 149, 138, 81, 81, 57, 48, 50, 
##     42, 20, 12, -16, -32, -26, -80, -85, -88, -126, -129, -131, 
##     -140, -147, -147, 135, 139, 144, 159, 160, 163, 157, 158, 
##     165, 159, 160, 167, 165, 162, 166, 164, 160, 159, 160, 160, 
##     157, 155, 154, 149, 139, 138, 137, 131, 121, 119, 105, 94, 
##     78, 75, -165, -180, -225, -201, -230, -227, -200, -212, -210, 
##     -219, -224, -218, -210, -207, -213, -215, -222, -221, -219, 
##     -215, -215, -219, -215, -217, -218, -217, -217, -216, -216, 
##     -221, -220, -217, -218, -218, -217, -218, -217, -217, -217, 
##     -219, -216, -216, -217, -217, -216, -216, -217, -217, -219, 
##     -220, -218, -216, -218, -217, -218, -220, -220, -223, -219, 
##     -220, -220, -220, -220, -219, -220, -221, -220, -221, -220, 
##     -221, -220, -218, -220, -220, -221, -218, -220, -220, -220, 
##     -221, -219, -220, -221, -219, -218, -220, -219, -219, -219, 
##     -218, -220, -219, -219, -217, -219, -219, -218, -220, -219, 
##     -219, -220, -219, -217, -217, -217, -219, -218, -220, -219, 
##     -220, -221, -218, -219, -219, -218, -218, -217, -218, -216, 
##     -218, -218, -218, -218, -218, -220, -219, -218, -219, -219, 
##     -219, -220, -218, -220, -220, -220, -220, -217, -218, -220, 
##     -220, -218, -220, -220, -219, -219, -222, -225, -226, -224, 
##     -224, -222, -223, -225, -224, -225, -225, -227, -225, -222, 
##     -223, -226, -227, -225, -227, -225, -224, -226, -226, -227, 
##     -226, -226, -228, -228, -227, -225, -226, -225, -224, -218, 
##     -206, -180, -170, -159, -144, -137, -96, -80, -65, -53, -44, 
##     -19, -2, 11, 40, 57, 70, 85, 96, 104, 116, 137, 158, 166, 
##     177, 181, -204, -221, -215, -216, -217, -215, -217, -220, 
##     -225, -224, -227, -222, -220, -223, -224, -215, -214, -211, 
##     -194, -187, -186, -178, -162, -156, -141, -122, -81, -46, 
##     -37, -12, 24, 62, 69, 98, 117, 132, 164, 159, 160, 156, 154, 
##     157, 161, 173, 166, 166, 162, 170, 167, 159, 160, 162, 148, 
##     140, 141, 119, 120, -226, -229, -231, -234, -233, -227, -228, 
##     -224, -232, -230, -222, -214, -198, -197, -179, -155, -134, 
##     -101, -81, -67, 28, 68, 112, 136, 141, 148, 157, 161, 159, 
##     164, 162, 166, 195, 210, 187, 165, 154, 150, 147, 140, 101, 
##     79, 67, 43, -1, -16, -22, 163, 161, 158, 161, 160, 162, 162, 
##     155, 151, 137, 119, 107, 84, 74, 66, 52, 25, -19, -21, -53, 
##     -73, -157, -172, -178, -186, -208, -215, -228, -232, -226, 
##     -222, -225, -232, -232, -233, -235, -236, -235, -233, -231, 
##     -228, -219, -215, -208, -200, -182, -164, -142, -124, -61, 
##     -44, -34, -24, -11, 7, 26, 45, 62, 85, 91, 92, 115, 131, 
##     148, 153, 158, 155, 160, 161, 150, 139, 122, 114, 102, 67, 
##     52, 40, 17, -1, -4, -85, -85, -98, -140, -200, -208, -211, 
##     -221, -226, -223, -222, -222, -215, -214, -214, -229, -231, 
##     -228, -236, -234, -231, -231, -229, -223, -227, -229, -220, 
##     -198, -200, -190, -185, -166, -119, -68, -42, -17, 35, 62, 
##     83, 91, 107, 111, 130, 139, 153, 150, 158, 164, 152, 157, 
##     159, 159, 161, 162, 165, -207, -214, -219, -218, -219, -218, 
##     -232, -235, -231, -235, -238, -236, -238, -238, -237, -240, 
##     -236, -238, -234, -225, -218, -216, -207, -194, -198, -196, 
##     -188, -160, -138, -106, -51, 13, 33, 48, 57, 73, 81, 97, 
##     103, 142, 149, 151, 152, 156, 162, 152, 134, 121, 83, 65, 
##     54, 34, 17, -34, -46, -95, -110, -128, -145, -149, -162, 
##     -177, -184, -203, -216, -226, -234, -225, -223, -224, -229, 
##     -238, -236, -229, -231, -229, -229, -230, -228, -224, -220, 
##     -204, -205, -200, -195, -179, -139, -79, -52, 28, 45, 85, 
##     111, 128, 134, 137, 144, 137, 135, 136, 125, 136, 153, 153, 
##     149, 147, 142, 136, 116, 102, 56, 30, 17, -21, -40, -112, 
##     -135, -180, -192, -236, -237, -237, -236, -234, -232, -197, 
##     -194, -177, -167, -146, -131, -97, -88, -63, -20, 29, 60, 
##     81, 105, 110, 123, 132, 130, 155, 156, 160, 156, 147, 128, 
##     123, 115, 113, 116, 131, 151, 150, -276, -276, -280, -280, 
##     -275, -282, -286, -275, -282, -280, -279, -280, -278, -277, 
##     -278, -282, -286, -283, -279, -279, -281, -282, -279, -280, 
##     -279, -278, -282, -278, -278, -279, -280, -280, -280, -281, 
##     -301, -298, -286, -246, -276, -286, -286, -284, -273, -270, 
##     -276, -281, -288, -291, -287, -293, -290, -285, -265, -256, 
##     -265, -291, -283, -278, -275, -275, -278, -278, -280, -283, 
##     -282, -279, -278, -280, -277, -278, -287, -284, -275, -271, 
##     -279, -281, -283, -280, -279, -277, -276, -277, -279, -281, 
##     -280, -279, -278, -279, -279, -280, -279, -282, -280, -277, 
##     -280, -279, -279, -279, -281, -282, -284, -281, -278, -279, 
##     -280, -280, -280, -280, -279, -280, -279, -278, -280, -281, 
##     -281, -281, -279, -280, -280, -280, -283, -281, -281, -278, 
##     -278, -279, -281, -281, -279, -278, -277, -277, -277, -281, 
##     -284, -274, -276, -278, -281, -280, -279, -277, -278, -281, 
##     -282, -283, -278, -283, -283, -284, -283, -278, -279, -281, 
##     -281, -282, -281, -280, -280, -280, -280, -277, -279, -280, 
##     -281, -283, -283, -279, -279, -277, -277, -280, -284, -281, 
##     -281, -281, -283, -282, -280, -282, -283, -280, -279, -280, 
##     -281, -281, -282, -280, -280, -281, -278, -279, -279, -284, 
##     -283, -280, -281, -282, -283, -279, -280, -280, -282, -282, 
##     -279, -283, -282, -281, -280, -282, -283, -280, -281, -282, 
##     -282, -280, -281, -283, -280, -281, -281, -282, -281, -283, 
##     -283, -281, -280, -278, -279, -283, -283, -283, -282, -278, 
##     -281, -281, -282, -279, -280, -280, -281, -282, -283, -280, 
##     -278, -279, -279, -278, -278, -281, -281, -280, -280, -281, 
##     -283, -281, -280, -281, -281, -282, -280, -283, -282, -282, 
##     -280, -282, -282, -283, -280, -279, -280, -278, -285, -284, 
##     -280, -277, -274, -274, -278, -279, -280, -280, -279, -281, 
##     -279, -280, -278, -277, -278, -279, -271, -266, -267, -274, 
##     -279, -279, -250, -309, -291, -268, -288, -290, -295, -280, 
##     -278, -279, -283, -280, -270, -276, -281, -279, -265, -264, 
##     -285, -271, -275, -288, -287, -283, -275, -276, -279, -284, 
##     -281, -271, -277, -275, -272, -273, -277, -275, -276, -276, 
##     -274, -274, -270, -271, -275, -277, -273, -275, -274, -277, 
##     -276, -275, -273, -273, -274, -275, -274, -273, -275, -271, 
##     -288, -287, -286, -286, -285, -286, -287, -288, -287, -286, 
##     -286, -287, -288, -288, -287, -286, -288, -287, -287, -288, 
##     -289, -287, -287, -288, -289, -287, -287, -288, -287, -288, 
##     -287, -287, -287, -286, -290, -288, -288, -288, -286, -286, 
##     -287, -287, -287, -287, -287, -289, -287, -288, -286, -290, 
##     -290, -287, -287, -286, -286, -288, -287, -286, -288, -287, 
##     -289, -287, -287, -287, -286, -288, -290, -290, -288, -286, 
##     -287, -288, -289, -288, -289, -288, -288, -287, -289, -286, 
##     -288, -287, -289, -286, -288, -287, -288, -287, -289, -288, 
##     -287, -288, -288, -287, -288, -287, -289, -289, -290, -290, 
##     -288, -288, -287, -288, -287, -286, -289, -288, -289, -290, 
##     -287, -289, -288, -289, -287, -287, -288, -288, -288, -286, 
##     -286, -288, -287, -287, -288, -288, -289, -289, -287, -285, 
##     -289, -289, -288, -289, -289, -288, -288, -287, -289, -288, 
##     -289, -290, -289, -289, -289, -288, -289, -290, -289, -288, 
##     -289, -290, -289, -289, -290, -289, -289, -289, -287, -289, 
##     -290, -288, -289, -288, -290, -290, -290, -290, -289, -288, 
##     -290, -290, -289, -289, -289, -288, -290, -289, -288, -288, 
##     -287, -289, -289, -287, -289, -289, -288, -289, -289, -288, 
##     -289, -289, -288, -288, -290, -291, -288, -287, -287, -289, 
##     -287, -289, -289, -290, -287, -287, -288, -288, -290, -288, 
##     -289, -289, -289, -289, -290, -288, -289, -288, -288, -288, 
##     -289, -287, -289, -287, -286, -288, -289, -288, -287, -288, 
##     -290, -288, -289, -289, -286, -289, -292, -288, -290, -288, 
##     -289, -290, -289, -289, -289, -290, -290, -287, -290, -289, 
##     -287, -287, -288, -289, -288, -287, -287, -287, -288, -287, 
##     -289, -287, -287, -287, -288, -287, -288, -287, -288, -287, 
##     -286, -286, -286, -288, -288, -287, -288, -287, -287, -287, 
##     -285, -287, -288, -287, -285, -285, -285, -283, -287, -286, 
##     -286, -287, -286, -285, -283, -286, -287, -285, -287, -287, 
##     -285, -284, -286, -285, -286, -286, -284, -284, -285, -284, 
##     -286, -285, -284, -282, -281, -279, -279, -279, -278, -268, 
##     -264, -253, -252, -241, -240, -227, -200, -192, -176, -170, 
##     -146, -133, -88, -59, -44, -16, 20, 52, 58, 74, 88, 100, 
##     115, 121, 125, 131, 135, 140, 146, 149, 153, 154, 158, 153, 
##     151, 146, 149, 144, 139, 140, 153, 155, 155, 150, 152, 149, 
##     146, 146, 143, 132, 115, 91, 87, 74, 67, 16, 16, -5, -79, 
##     -95, -105, -171, -199, -210, -206, -207, -220, -227, -233, 
##     -238, -255, -268, -270, -283, -282, -272, -273, -278, -276, 
##     -281, -272, -264, -258, -254, -244, -232, -222, -206, -185, 
##     -133, -101, -87, -44, -35, 25, 45, 59, 85, 94, 101, 118, 
##     120, 117, 127, 132, 133, 144, 145, 142, 138, 134, 140, 138, 
##     137, 131, 137, 143, 154, 146, 140, 132, 102, 88, 65, 36, 
##     -8, -61, -152, -155, 114, 116, 115, 117, 116, 114, 121, 146, 
##     156, 151, 148, 126, 127, 118, 112, 82, 57, 57, 25, 22, -23, 
##     -44, -78, -88, -100, -151, -167, -174, -180, -200, -292, 
##     -290, -273, -270, -269, -262, -264, -270, -274, -278, -276, 
##     -263, -261, -259, -253, -248, -231, -208, -196, -190, -44, 
##     -33, -1, 9, 39, 61, 76, 88, 102, 107, 120, 115, 111, 109, 
##     112, 119, 130, 153, 154, 152, 135, 130, 132, 128, 127, 125, 
##     118, 115, 110, 93, 90, 73, 52, 44, -19, -50, -49, -64, -87, 
##     -85, -104, -109, -111, -119, -211, -227, -237, -241, -243, 
##     -251, -262, -276, -245, -264, -280, -272, -269, -255, -235, 
##     -224, -203, -187, -174, -159, -116, -96, -76, -35, 1, 61, 
##     94, 108, 121, 118, 122, 113, 104, 107, 113, 142, 148, 130, 
##     110, 112, 106, 51, 16, 5, -9, -30, -50, -88, -90, -124, -133, 
##     -144, -177, -158, -161, -222, -243, -281, -280, -277, -278, 
##     -273, -284, -290, -282, -283, -283, -292, -291, -289, -287, 
##     -281, -278, -259, -253, -211, -170, -108, -68, -52, 32, 50, 
##     64, 82, 97, 106, 124, 134, 137, 116, 107, 107, 141, 150, 
##     147, -271, -269, -272, -278, -276, -273, -274, -278, -276, 
##     -275, -274, -276, -277, -275, -278, -279, -279, -276, -275, 
##     -274, -275, -277, -275, -278, -277, -265, -282, -274, -273, 
##     -274, -276, -276, -276, -274, -275, -275, -274, -274, -274, 
##     -274, -272, -273, -274, -275, -276, -272, -274, -273, -274, 
##     -275, -275, -274, -275, -277, -275, -274, -274, -275, -275, 
##     -275, -274, -274, -276, -275, -275, -274, -276, -276, -273, 
##     -275, -276, -276, -275, -277, -277, -277, -271, -271, -286, 
##     -278, -270, -265, -275, -277, -278, -276, -276, -276, -276, 
##     -271, -280, -275, -274, -275, -272, -277, -274, -273, -271, 
##     -275, -275, -272, -277, -274, -273, -277, -278, -276, -275, 
##     -276, -277, -275, -277, -277, -279, -280, -280, -277, -275, 
##     -272, -275, -278, -272, -274, -275, -277, -277, -277, -275, 
##     -274, -275, -275, -277, -276, -276, -276, -276, -276, -276, 
##     -277, -276, -274, -275, -276, -275, -274, -277, -274, -275, 
##     -277, -273, -274, -276, -277, -274, -275, -278, -274, -278, 
##     -275, -276, -274, -276, -273, -277, -278, -274, -276, -277, 
##     -274, -274, -276, -274, -278, -274, -276, -275, -276, -274, 
##     -277, -275, -277, -280, -281, -278, -274, -269, -275, -277, 
##     -278, -271, -275, -278, -278, -274, -275, -276, -275, -277, 
##     -277, -275, -276, -275, -275, -277, -275, -276, -276, -275, 
##     -275, -276, -277, -277, -276, -276, -276, -276, -276, -277, 
##     -279, -272, -279, -282, -279, -273, -275, -278, -275, -277, 
##     -280, -279, -276, -273, -275, -282, -280, -277, -286, -290, 
##     -283, -275, -278, -284, -286, -280, -273, -276, -277, -280, 
##     -276, -274, -275, -276, -276, -278, -280, -283, -274, -274, 
##     -277, -286, -286, -280, -266, -265, -285, -288, -287, -282, 
##     -277, -274, -274, -279, -280, -279, -277, -279, -279, -277, 
##     -277, -278, -280, -276, -277, -279, -279, -281, -284, -282, 
##     -275, -273, -273, -280, -286, -289, -286, -274, -286, -285, 
##     -278, -266, -262, -266, -276, -283, -279, -275, -274, -274, 
##     -278, -282, -282, -280, -279, -275, -275, -276, -278, -277, 
##     -280, -280, -281, -277, -278, -278, -277, -278, -276, -276, 
##     -280, -282, -287, -279, -273, -271, -274, -277, -274, -283, 
##     -290, -282, -283, -273, -275, -274, -276, -275, -276, -276, 
##     -274, -273, -279, -277, -276, -277, -274, -278, -279, -275, 
##     -275, -275, -277, -278, -274, -279, -277, -280, -279, -276, 
##     -277, -280, -278, -279, -276, -277, -275, -276, -279, -277, 
##     -278, -275, -280, -278, -279, -277, -278, -275, -280, -276, 
##     -276, -275, -279, -274, -281, -274, -274, -279, -280, -280, 
##     -278, -275, -293, -259, -260, -266, -276, -271, -265, -286, 
##     -271, -264, -293, -260, -141, -129, -116, -47, -34, -1, 47, 
##     89, 111, 123, 148, 159, 157, 166, 174, 186, 191, 187, 164, 
##     159, 162, 163, 158, 148, 137, 104, 94, 67, 43, -20, -82, 
##     -136, -105, -256, -262, -277, -274, -278, -278, -273, -257, 
##     -259, -257, -256, -258, -269, -279, -276, -269, -259, -257, 
##     -243, -198, -189, -138, -125, -107, -44, -19, 35, 54, 68, 
##     66, 79, 101, 102, 143, 160, 164, 163, 158, 156, 125, 126, 
##     126, 104, 73, 82, 96, 10, 54, 24, -36, -3, -63, -126, -105, 
##     -153, -198, -170, -164, -211, -262, -303, -293, -273, -247, 
##     -221, -225, -236, -261, -262, -263, -249, -244, -177, -137, 
##     -83, -77, -53, -30, -8, 54, 85, 135, 165, 174, 162, 167, 
##     165, 168, 165, 164, 161, 130, 104, 96, 43, 8, -7, 0, -76, 
##     -78, -124, -276, -270, -243, -255, -282, -264, -263, -248, 
##     -252, -254, -250, -251, -260, -267, -295, -275, -247, -250, 
##     -239, -224, -156, -100, -77, -44, -11, 5, 57, 70, 101, 120, 
##     130, 141, 169, 170, 158, 160, 159, 158, 135, 128, 114, 84, 
##     89, 85, 50, 18, -58, -123, -80, -127, -184, -264, -299, -281, 
##     -288, -276, -272, -251, -242, -248, -255, -245, -236, -241, 
##     -254, -265, -276, -285, -276, -267, -254, -245, -235, -230, 
##     -221, -209, -188, -156, -96, -101, -33, 19, 30, 63, 111, 
##     105, 138, 147, 149, 153, 122, 108, 48, 22, -81, -114, -110, 
##     -123, -201, -248, -297, -290, -264, -270, -264, -251, -238, 
##     -251, -251, -266, -269, -257, -251, -251, -244, -239, -172, 
##     -165, -138, -92, -78, -25, -9, 3, 20, 69, 81, 106, 143, 153, 
##     157, 163, 163, 141, 108, 119, 114, 61, 78, 78, 1, -5, -87, 
##     -160, -180, -151, -115, -180, -269, -284, -305, -313, -322, 
##     -283, -246, -234, -231, -249, -266, -272, -268, -286, -291, 
##     -272, -229, -212, -198, -179, -132, -114, -97, -82, -21, 
##     -3, 83, 149, 146, 141, 145, 147, 142, 139, 143, 143, 133, 
##     84, 96, 104, 81, 36, 4, -50, -108, -85, -131, -133, -127, 
##     -235, -253, -298, -272, -257, -255, -267, -266, -260, -262, 
##     -253, -257, -259, -238, -222, -186, -150, -36, -21, 50, 67, 
##     81, 137, 139, 158, 146, 153, -57, -50, -22, -222, -224, -223, 
##     -222, -223, -223, -226, -225, -222, -222, -222, -220, -222, 
##     -223, -223, -221, -222, -222, -222, -221, -223, -221, -222, 
##     -224, -227, -232, -231, -230, -214, -193, -191, -168, -210, 
##     -246, -218, -219, -223, -234, -249, -226, -210, -203, -209, 
##     -221, -250, -224, -185, -165, -159, -165, -178, -217, -210, 
##     -206, -164, -132, -120, -27, -19, 3, 20, 41, 75, 98, 123, 
##     124, -161, -182, -194, -197, -207, -229, -224, -234, -246, 
##     -251, -255, -256, -256, -258, -264, -264, -260, -265, -263, 
##     -263, -250, -240, -225, 75, 98, 121, 137, 139, 149, 150, 
##     155, 155, 158, 163, 157, 159, 142, 135, 124, 112, 99, 91, 
##     75, -185, -179, -153, -143, -113, -93, -66, -41, 14, 25, 
##     38, 73, 93, 114, 117, 141, 149, 159, 157, 152, 155, -276, 
##     -277, -275, -269, -273, -272, -273, -273, -272, -273, -276, 
##     -273, -259, -253, -214, -210, -195, -168, -149, -133, -91, 
##     -267, -273, -275, -273, -275, -277, -277, -278, -279, -282, 
##     -286, -285, -279, -279, -276, -273, -271, -274, -273, -253, 
##     -257, -264, -266, -271, -270, -270, -268, -268, -267, -269, 
##     -268, -266, -264, -267, -261, -262, -265, -264, -263, -269, 
##     -270, -268, -267, -263, -264, -264, -200, -203, -205, -228, 
##     -246, -255, -251, -246, -237, -230, -237, -244, -294, -297, 
##     -300, -297, -298, -297, -297, -296, -297, -295, -297, -300, 
##     -295, -299, -300, -299, -299, -300, -303, -310, -316, -315, 
##     -307, -297, -281, -306, -303, -304, -301, -301, -299, -304, 
##     -306, -309, -308, -300, -302, -302, -303, -301, -300, -300, 
##     -301, -302, -301, -302, -300, -299, -297, -299, -299, -299, 
##     -300, -300, -298, -300, -299, -300, -300, -299, -298, -300, 
##     -298, -299, -297, -301, -300, -299, -301, -300, -301, -300, 
##     -300, -300, -300, -299, -300, -301, -301, -299, -299, -299, 
##     -301, -300, -300, -301, -301, -301, -299, -302, -301, -300, 
##     -300, -299, -300, -300, -299, -300, -300, -300, -300, -299, 
##     -300, -300, -301, -299, -301, -299, -299, -300, -299, -299, 
##     -298, -296, -297, -296, -298, -298, -299, -298, -297, -298, 
##     -299, -300, -298, -298, -298, -296, -296, -296, -297, -298, 
##     -299, -300, -297, -297, -297, -297, -298, -297, -298, -299, 
##     -297, -296, -298, -298, -298, -297, -296, -296, -297, -297, 
##     -299, -299, -296, -297, -297, -298, -300, -299, -302, -305, 
##     -305, -304, -301, -300, -300, -301, -299, -300, -298, -298, 
##     -299, -300, -299, -299, -298, -299, -302, -299, -298, -298, 
##     -299, -299, -299, -296, -299, -299, -299, -298, -298, -297, 
##     -297, -299, -298, -296, -300, -298, -295, -293, -297, -297, 
##     -298, -303, -300, -302, -303, -304, -300, -302, -302, -302, 
##     -303, -303, -303, -300, -303, -299, -299, -299, -299, -301, 
##     -299, -300, -298, -293, -294, -299, -301, -301, -298, -298, 
##     -298, -299, -300, -299, -300, -300, -298, -300, -301, -300, 
##     -299, -299, -301, -302, -301, -298, -299, -300, -301, -300, 
##     -300, -300, -299, -299, -297, -299, -298, -299, -297, -299, 
##     -300, -299, -301, -301, -297, -298, -234, -201, -182, -167, 
##     -160, -148, -150, -152, -147, -144, -167, -180, -176, -175, 
##     -174, -176, -186, -186, -180, -179, -181, -180, -174, -171, 
##     -177, -177, -179, -176, -176, -179, -180, -181, -180, -182, 
##     -182, -183, -183, -183, -182, -182, -184, -186, -184, -181, 
##     -184, -182, -179, -176, -171, -163, -155, -151, -150, -150, 
##     -153, -157, -167, -172, -174, -175, -179, -183, -185, -186, 
##     -190, -189, -189, -190, -191, -190, -189, -190, -188, -186, 
##     -188, -186, -187, -192, -195, -195, -193, -189, -189, -191, 
##     -194, -192, -191, -191, -192, -192, -190, -189, -189, -183, 
##     -182, -180, -223, -230, -247, -266, -267, -278, -273, -292, 
##     -249, -264, -295, -306, -304, -307, -313, -310, -302, -292, 
##     -294, -302, -300, -301, -302, -290, -288, -289, -297, -307, 
##     -313, -290, -293, -292, -298, -297, -295, -297, -296, -297, 
##     -294, -293, -296, -296, -295, -295, -295, -294, -294, -293, 
##     109, 124, 129, 137, 140, 147, 149, 149, 144, 152, 146, 140, 
##     141, 136, 131, 130, 103, 79, -5, -52, -52, -64, -107, -103, 
##     -140, -170, -221, -223, -270, -258, -271, -290, -295, -293, 
##     -288, -294, -294, -292, -293, -294, -293, -292, -277, -258, 
##     -240, 114, 66, 88, 44, 7, -3, 11, -80, -94, -113, -150, -173, 
##     -196, -192, -197, -202, -230, -237, -274, -275, -274, -285, 
##     -281, -276, -275, -272, -270, -267, -259, -246, -224, -220, 
##     -201, -189, -178, -131, -114, -100, -78, -44, -40, -20, -23, 
##     74, 95, 91, 114, 119, 119, 127, 135, 142, 141, 148, 131, 
##     125, 113, 117, 99, 112, 49, 29, 18, 13, -14, -23, -36, -87, 
##     -77, -133, -200, -219, -254, -252, -257, -271, -299, -304, 
##     -287, -285, -271, -254, -245, -234, -219, -220, -206, -194, 
##     -111, -40, -23, -5, 11, 28, 55, 59, 80, 129, 125, 130, 134, 
##     134, 152, 148, 133, 131, 120, 122, 125, 112, 99, 102, 101, 
##     76, 54, 23, 2, -10, -17, -29, -51, -53, -57, -82, -90, -101, 
##     -199, -223, -220, -242, -254, -265, -268, -272, -277, -279, 
##     -272, -275, -272, -265, -261, -255, -251, -247, -227, -192, 
##     -125, -65, -9, -3, 20, 28, 65, 109, 117, 95, 109, 111, 126, 
##     116, 133, 132, 145, 152, 151, 150, 143, 143, 145, 144, 146, 
##     134, 130, 138, 119, 111, 114, 101, 80, 36, 39, 2, -9, -31, 
##     -54, -76, -90, -113, -148, -148, -161, -178, -183, -191, 
##     -232, -237, -236, -242, -249, -264, -279, -280, -284, -283, 
##     -290, -284, -286, -281, -282, -281, -280, -282, -277, -275, 
##     -267, -268, -256, -248, -237, -194, -189, -185, -158, -149, 
##     -137, -99, -81, -75, -55, -10, 3, 31, 26, 32, 47, 94, 107, 
##     70, 65, 46, 30, -39, -92, -93, -108, -115, -117, -124, -157, 
##     -160, -160, -177, -190, -231, -245, -255, -261, -291, -291, 
##     -298, -277, -289, -294, -300, -295, -298, -292, -290, -291, 
##     -287, -277, -279, -242, -226, -209, -190, -190, -165, -150, 
##     -148, -142, -119, -104, -81, -69, 3, 14, 22, 80, 49, 24, 
##     22, 31, -15, -10, -12, -54, -47, -83, -88, -80, -106, -127, 
##     -143, -154, -162, -188, -194, -190, -199, -210, -234, -241, 
##     -229, -228, -244, -247, -242, -240, -234, -237, -234, -225, 
##     -208, -195, -185, -175, -144, -111, -84, -73, -43, -37, -21, 
##     -11, 5, 65, 67, 106, 118, 125, 136, 137, 134, 140, 151, 159, 
##     156, 153, 160, 164, 162, 161, 162, 156, 150, 145, 141, 140, 
##     126, 124, 116, 120, 121, 116, 103, 72, 65, 65, 57, 39, 20, 
##     -5, -4, -15, -46, -45, -69, -97, -112, -112, -149, -156, 
##     -177, -184, -213, -227, -236, -241, -242, -240, -255, 126, 
##     136, 132, 137, 133, 144, 145, 148, 151, 150, 141, 136, 134, 
##     138, 141, 120, 127, 109, 98, 87, 89, -171, -147, -123, -110, 
##     -35, -25, 10, 18, 29, 51, 67, 76, 81, 103, 104, 113, 114, 
##     119, 125, 134, 138, 147, 142, 142, 146, 143, 131, 137, 121, 
##     110, -178, -179, -181, -183, -186, -190, -188, -188, -181, 
##     -180, -177, -178, -178, -180, -176, -176, -177, -177, -177, 
##     -178, -178, -180, -177, -296, -294, -291, -299, -301, -301, 
##     -301, -303, -297, -298, -306, -306, -303, -288, -279, -275, 
##     -271, -250, -240, -238, -242, -298, -299, -297, -297, -296, 
##     -293, -293, -294, -296, -296, -297, -296, -296, -297, -297, 
##     -296, -296, -302, -313, -308, -305, -301, -303, -306, -306, 
##     -302, -308, -303, -296, -302, -301, -297, -309, -305, -299, 
##     -277, -278, -276, -276, -277, -278, -279, -277, -276, -277, 
##     -276, -277, -277, -274, -275, -276, -278, -277, -277, -276, 
##     -279, -279, -277, -274, -279, -280, -282, -280, -278, -277, 
##     -280, -280, -282, -284, -281, -281, -281, -282, -281, -282, 
##     -280, -280, -281, -281, -277, -278, -280, -279, -280, -280, 
##     -281, -280, 166, 162, 155, 160, 156, 151, 89, 48, 16, -32, 
##     -77, -145, -175, -191, -227, -216, -214, -215, -210, -164, 
##     -143, -107, -97, -42, -8, 33, 36, 54, 67, 81, 98, 106, 132, 
##     138, 158, 162, 160, 170, 171, -72, -78, -119, -133, -166, 
##     -166, -176, -187, -209, -200, -206, -212, -224, -222, -223, 
##     -225, -228, -234, -236, -233, -229, -232, 75, 13, 1, -12, 
##     -27, -81, -84, -102, -120, -133, -148, -161, -170, -183, 
##     -197, -203, -207, -215, -221, -224, -227, -224, -222, -220, 
##     -220, -216, -214, 184, 179, 137, 132, 130, 108, 93, 78, 71, 
##     45, 51, 12, -1, -18, -41, -48, -45, -71, -89, -115, -125, 
##     -173, -186, -186, -192, -219, -221, -220, -219, -218, -221, 
##     -221, -219, -220, -220, -220, -220, -222, -222, -220, -222, 
##     -219, -219, -221, -219, -220, -220, -219, -220, -220, -220, 
##     -128, -127, -112, -186, -195, -180, -204, -216, -224, -223, 
##     -220, -222, -221, -221, -222, -227, -225, -225, -224, -222, 
##     -223, -224, -224, -223, -67, -82, -75, -72, -67, -58, -63, 
##     -77, -81, -94, -93, -94, -88, -93, -90, -85, -85, -84, -85, 
##     -92, -97, -100, -100, -107, -24, -31, -48, -36, -37, -38, 
##     -52, -40, -29, -19, -14, -6, -2, 1, 8, 1, -10, -15, -19, 
##     -23, -37, -44, -46, -51, 212, 207, 144, 131, 149, 126, 101, 
##     58, 36, 32, 28, 35, 29, 21, 20, 21, 18, 16, 19, 46, 52, 61, 
##     72, 77, 99, 126, 389, 337, 256, 265, 195, 200, 164, 156, 
##     144, 135, 118, 120, 99, 62, 32, 33, 345, 230, 209, 188, 163, 
##     115, 136, 93, 55, 49, 35, 23, -14, -11, -8, 6, 12, 17, 14, 
##     8, 161, 184, 247, 288, 308, 317, 360, 382, 409, 402, 404, 
##     402, 394, 386, 348, 287, 288, 226, 239, 62, 52, 22, 15, -9, 
##     -6, -4, 2, 5, -2, -7, -9, -6, -3, 2, -3, -1, 0, 5, 3, 5, 
##     9, 15, 27, 38, 65, 76, 83, 206, -215, -218, -191, -220, -265, 
##     -262, -254, -258, -258, -261, -263, -259, -247, -248, -245, 
##     -238, -232, -225, -209, -197, -165, -150, -109, -80, -66, 
##     -51, -42, -15, 14, 32, 50, 67, 96, 20, 4, 0, 1, -7, -6, 7, 
##     7, 1, 7, -3, -1, 1, -2, 1, 1, -1, -3, -1, -2, -1, 0, -1, 
##     -2, -1, -1, 0, -2, -6, -2, -1, 2, -2, -2, 2, 11, 14, 15, 
##     20, 27, 27, 50, 64, 84, 102, 127, 140, 151, 184, 217, 274, 
##     288, 326, 342, 378, 381, 384, 387, 400, 387, 393, 390, 377, 
##     388, 395, 388, 375, 359, 325, 274, 228, 201, 209, 169, 111, 
##     97, 87, 51, 23, 20, 11, -7, -11, 286, 300, 306, 325, 365, 
##     380, 369, 391, 391, 383, 372, 387, 382, 391, 382, 385, 386, 
##     351, 329, 321, 311, 254, 253, 234, 210, 196, 201, 125, 73, 
##     87, 46, 24, 12, -22, -30, -27, -28, -22, -4, 25, 28, 5, 2, 
##     6, 9, 9, 12, 21, 68, 82, 87, 88, 129, 153, 166, 183, 271, 
##     316, 328, 374, 357, 363, 357, 344, 360, 396, 395, 376, 384, 
##     327, 311, 305, 286, 223, 225, 203, 130, 112, 54, 43, 32, 
##     31, 39, 37, 21, 7, 16, 20, 22, 10, 12, 25, 10, 13, 25, 44, 
##     182, 194, 237, 253, 280, 298, 335, 344, 345, 360, 351, 352, 
##     331, 343, 342, 363, 363, 354, 349, 347, 347, 342, 339, 323, 
##     291, 229, 217, 165, 116, 87, 30, 45, 19, -14, -20, -24, -18, 
##     4, 0, 7, 11, 9, -5, 11, 19, 23, 35, 88, 103, 133, 199, 217, 
##     230, 243, 259, 292, 283, 311, 322, 325, 331, 334, 339, 347, 
##     357, 338, 343, 340, 341, 352, 351, 329, 325, -12, 3, 31, 
##     55, 92, 108, 135, 149, 177, 248, 255, 306, 341, 353, 352, 
##     351, 347, 358, 372, 365, 365, 364, 349, 331, 307, 301, 290, 
##     252, 59, 60, 47, 52, 33, 18, 11, -4, -21, -15, -13, 10, 16, 
##     10, 0, 4, 7, 0, -10, -8, -13, -6, -8, 6, 18, 48, 115, 178, 
##     199, 211, 220, 223, 254, 290, 304, 320, 325, 325, 317, 327, 
##     343, 357, 374, 378, 371, 371, 252, 201, 193, 135, 116, 60, 
##     35, 26, 19, 1, -8, -25, -16, -5, 13, 9, 1, 2, 1, 3, 1, -12, 
##     -17, 38, 110, 181, 323, 320, 315, -34, -41, -34, 9, 5, 0, 
##     4, 6, -1, 1, -2, 3, 3, 9, 21, 36, 3, 46, 76, 105, 206, 215, 
##     233, 247, 260, 306, 323, 313, 323, 319, 299, 291, 306, 307, 
##     310, 337, 345, 344, 349, 343, 322, 336, 260, 265, 169, 178, 
##     189, 99, 95, -7, -6, -24, -27, 1, 6, 8, 17, 1, 2, 1, -8, 
##     -10, -10, -2, 3, 35, 43, 70, 80, 102, 174, 195, 224, 243, 
##     264, 284, 298, 309, 328, 318, 323, 327, 334, 351, 353, 386, 
##     135, 149, 146, 118, 106, 88, 84, 68, 47, 38, 30, -73, -91, 
##     -100, -108, -125, -167, -6, -42, -56, -80, -96, -102, -136, 
##     -147, -173, -214, -219, -222, -225, -230, -228, -234, -227, 
##     -224, -226, -225, -221, -225, -228, -226, -224, -230, -232, 
##     -236, -235, -238, -239, -240, -234, -238, -239, -238, -240, 
##     -236, -236, -231, -224, -232, -233, -234, -234, -232, -232, 
##     -233, -235, -233, -234, -232, -233, -233, -234, -236, -237, 
##     -234, -232, -233, -234, -235, -231, -233, -233, -234, -232, 
##     -234, -233, -232, -233, -235, -234, -234, -234, -230, -230, 
##     -231, -231, -228, -231, -231, -230, -233, -227, -225, -223, 
##     -223, -225, -226, -227, -226, -224, -222, -221, -221, -220, 
##     -219, -219, -211, -181, -178, -174, -125, -113, -105, -97, 
##     107, 157, 156, 140, 138, 130, 87, 66, 53, 28, 20, 9, -16, 
##     -29, -41, -66, -77, -109, -163, -173, -205, -247, -250, -243, 
##     -244, -240, -232, -231, -234, -239, -236, -237, -235, -231, 
##     -229, -225, -225, -224, -213, -172, -164, -132, -121, -82, 
##     -57, -16, 3, 35, 49, 57, 70, 89, 93, 89, 83, 82, 75, 68, 
##     65, 60, 38, -35, -60, -74, -81, -74, 9, 90, 93, 108, 120, 
##     129, 141, 145, 138, 127, 114, 83, 72, 49, 34, 17, -71, -97, 
##     -101, -111, -217, -213, -207, -145, -130, -115, -88, -36, 
##     -19, 35, 48, 91, 95, 99, 108, 109, 113, 116, 99, 85, 81, 
##     54, -21, -42, -27, -11, 10, 16, 36, 55, 71, 96, 104, 101, 
##     101, 98, 84, 84, 71, 61, 48, 34, 10, -29, -49, -75, -102, 
##     -125, -141, -177, -195, -228, -226, -223, -222, -221, -230, 
##     -233, -229, -231, -231, -230, -225, -228, -227, -230, -214, 
##     -228, -181, -175, -162, -147, -115, -53, -22, 65, 87, 93, 
##     92, 92, 93, 91, 82, 68, 58, 15, -45, -82, -90, -72, -48, 
##     -29, -15, -5, 7, 68, 86, 91, 102, 126, 117, 98, 89, 82, 69, 
##     59, 32, 16, -63, -104, -110, -158, -217, -223, -234, -229, 
##     -222, -221, -220, -228, -226, -226, -224, -223, -210, -199, 
##     -149, -132, -55, -16, -2, 19, 25, 31, 55, 68, 80, 87, 103, 
##     104, 112, 111, 63, 25, 12, 0, -16, -61, -79, -100, -65, -40, 
##     -29, -10, 4, 41, 51, 77, 84, 99, 110, 116, 105, 50, -142, 
##     -98, -68, -48, -31, 4, 24, 45, 61, 68, 97, 109, 109, 111, 
##     111, 110, 105, 94, 62, 49, 4, -50, -114, -134, -135, -145, 
##     -148, -137, -120, 26, 38, 49, 86, 95, 117, 119, 120, 116, 
##     108, 97, 89, 54, 40, -55, -111, -131, -164, -178, -214, -259, 
##     -251, -229, -219, -223, -224, -223, -224, -228, -232, -227, 
##     -228, -233, -232, -216, -159, -121, 10, 25, 41, 48, 73, 84, 
##     90, 97, 101, 102, 130, 108, 94, 102, 39, 48, 9, -22, -24, 
##     -88, -78, -75, -99, -136, -145, -179, -246, -245, -273, -280, 
##     -275, -273, -277, -277, -280, -285, -286, -275, -274, -287, 
##     -281, -277, -256, -236, -215, -206, -190, -176, -112, -76, 
##     -63, -10, 39, 78, 90, 100, 115, 130, 136, 113, 113, 136, 
##     95, 94, 82, 64, 17, 16, -4, -27, -27, -70, -75, -88, -97, 
##     -101, -137, -172, -204, -219, -233, -236, -280, -275, -277, 
##     -280, -283, -271, -271, -269, -275, -277, -280, -281, -267, 
##     -263, -243, -169, -120, -107, -85, -66, 71, 100, 119, 129, 
##     132, 114, 113, 117, 122, 118, 119, 140, 141, 120, 112, 96, 
##     89, 82, 52, 40, -5, -58, -115, -78, -69, -57, -28, -7, 6, 
##     63, 94, 108, 122, 126, 138, 132, 118, 108, 106, 115, 149, 
##     163, 134, 129, 114, 114, 109, 86, 59, 22, -31, -126, -136, 
##     -153, -171, -179, -233, -247, -272, -287, -282, -269, -280, 
##     -274, -267, -270, -275, -274, -274, 141, 140, 133, 133, 132, 
##     127, 105, 103, 69, 67, 68, 53, 13, -52, -81, -112, -125, 
##     -126, -131, -143, -179, -185, -186, -228, -260, -260, -266, 
##     -270, -266, -265, -266, -266, -267, -271, -275, -276, -279, 
##     -280, -279, -278, -277, -277, -275, -277, -278, -280, -279, 
##     -279, -278, -280, -279, -278, -281, -278, -279, -279, -279, 
##     -282, -280, -280, -280, -281, -279, -280, -281, -282, -280, 
##     -280, -282, -281, -280, -280, 99, 98, 90, 73, 58, 47, 3, 
##     -20, -43, -68, -87, -102, -180, -179, -198, -225, -261, -270, 
##     -274, -274, -254, -259, -264, -262, -260, -253, 110, 82, 
##     66, 46, 42, 17, -26, -32, -66, -92, -95, -121, -139, -145, 
##     -156, -179, -177, -191, -225, -240, -251, -250, -245, -221, 
##     -215, -231, -234, -220, -211, -131, -106, -64, -49, -36, 
##     53, 59, 64, 65, 57, 42, -53, -73, -76, -87, -85, -89, -49, 
##     -38, -30, -6, -242, -252, -246, -244, -239, -230, -206, -169, 
##     -13, -5, 3, 27, 48, 71, 84, 63, 38, 21, 6, 5, 39, 38, 35, 
##     54, 75, 118, 129, 122, 106, 88, 88, 80, 65, 45, -6, -50, 
##     -61, -76, -89, -163, -195, -202, -204, -222, -214, -221, 
##     -224, -220, -218, -86, -43, -29, 14, 26, 44, 73, 81, 91, 
##     46, 32, -54, -70, -95, -98, -133, -152, -159, -164, -191, 
##     -216, -242, -254, -265, -260, -253, -250, -249, -249, -255, 
##     -257, -236, -237, -237, -244, -250, -262, 48, 58, 71, 77, 
##     82, 91, 87, 83, 87, 76, 65, 5, -5, -21, -51, -109, -114, 
##     -134, -163, -170, -197, -203, -223, -283, -278, -262, -253, 
##     -251, -251, -252, -250, -249, -257, -248, -246, -214, -199, 
##     -181, -161, -125, -100, -58, -35, -21, -7, 15, 78, 91, 95, 
##     98, 99, 98, 92, 85, 84, 56, 35, 34, 35, 33, 35, 38, 50, 113, 
##     113, 95, 82, 72, 41, -2, -27, -44, -50, -60, -84, -130, -177, 
##     -187, -204, 137, 139, 140, 133, 119, 113, 86, 2, -1, -1, 
##     -50, -90, -37, -80, -124, -164, -137, -198, -231, -258, -264, 
##     -248, -240, -253, -287, -291, -301, -264, -254, -244, -235, 
##     -232, -242, -253, -279, -280, -277, -264, -254, -179, -247, 
##     -263, -335, -277, -223, -260, -254, -257, -277, -282, -298, 
##     -259, -257, -245, -234, -180, -124, -74, -57, -50, 8, 39, 
##     57, 133, 173, 172, 173, 174, 182, 186, 147, 140, 135, 109, 
##     98, 74, 54, -42, -38, -95, -90, -51, -118, -110, -206, -208, 
##     -270, -306, -258, -242, -230, -254, -271, -259, -252, -247, 
##     -250, -256, -259, -265, -266, -258, -256, -253, -256, -259, 
##     -260, -256, -256, -258, -257, -257, -255, -256, -259, -257, 
##     -259, -257, -255, -256, -258, -255, -259, -262, -257, -256, 
##     -258, -259, -252, -235, -230, -233, -221, -221, -236, -183, 
##     -166, -123, -95, -79, -76, -56, 51, 49, 79, 64, 78, 91, 97, 
##     100, 78, 102, 100, 82, 70, 60, 40, 52, 54, -16, -10, -49, 
##     -43, -75, -134, -127, -191, -296, -324, -326, -321, -235, 
##     -227, -221, -234, -253, -274, -327, -326, -281, -248, -225, 
##     -217, -88, -58, 15, 40, 64, 78, 77, 79, 85, 87, 96, 96, 55, 
##     62, 53, 35, 47, 61, 24, -49, -38, -74, -92, -133, -213, -302, 
##     -248, -209, -205, -199, -235, -241, -241, -11, -42, -77, 
##     -112, -135, -173, -242, -252, -317, -300, -229, -222, -213, 
##     -269, -294, -275, -254, -199, -142, -76, -70, -13, 6, 27, 
##     47, 62, 83, 92, 94, 92, 89, 84, 76, 66, 64, 59, 44, 41, -48, 
##     -138, -189, -270, -287, -307, -318, -306, -198, -220, -240, 
##     -275, -289, -297, -294, -283, -245, -209, -172, -135, -98, 
##     -47, -26, 12, 20, 29, 68, 73, 69, 82, 72, 76, 75, 68, 71, 
##     52, 64, 35, -30, -53, -42, -40, -167, -187, -258, -244, -238, 
##     -261, -298, -289, -291, -258, -246, -231, -225, -218, -244, 
##     -241, -258, -276, -295, -296, -259, -250, -174, -136, -56, 
##     -19, -6, 7, 29, 33, 51, 89, 84, -287, -323, -316, -299, -241, 
##     -221, -187, -144, -43, -41, -10, 1, 7, 17, 66, 84, 97, 99, 
##     98, 103, 95, 69, 56, 44, 34, 31, 7, -74, -42, -49, -40, 106, 
##     90, 80, 66, 49, 38, 5, -2, -104, -111, -133, -130, -142, 
##     -146, -146, -145, -181, -234, -230, -272, -274, -274, -271, 
##     -274, -271, -272, -274, -277, -276, -273, -282, -280, -278, 
##     -282, -281, -282, -284, -286, -290, -286, -294, -288, -287, 
##     -286, -292, -285, -288, -281, -285, -284, -289, -293, -280, 
##     -273, -269, -212, -209, -199, -185, -164, -143, -122, -102, 
##     -81, -72, -55, -35, 33, 46, 54, 69, 85, 101, 110, 116, 103, 
##     101, 85, 84, 88, 92, 95, 97, 96, 96, 89, 86, 88, 88, 83, 
##     88, 91, 91, 93, 81, 92, 63, 46, 43, 50, 10, -2, -13, -83, 
##     -146, -143, -190, -220, -231, -256, -258, -260, -255, -259, 
##     -258, -258, -262, -237, -213, -213, -196, -181, -178, -148, 
##     -145, -126, -107, -104, -59, -38, -31, -11, 36, 53, 95, 103, 
##     101, 100, 115, 115, 108, 115, 107, 106, 3, -29, -47, -80, 
##     -87, -125, -144, -136, -158, -172, -168, -180, -181, -186, 
##     -222, -233, -249, -251, -255, -264, -266, -266, -257, -250, 
##     -250, -256, -250, 83, 80, 81, 78, 78, 75, 75, 74, 75, 79, 
##     76, 63, 58, 74, 68, 29, 28, -24, -40, -32, -107, -106, -100, 
##     -181, -174, -172, -216, -218, -214, -225, -237, -277, -274, 
##     -273, -270, -263, -252, -250, -245, -245, -244, -251, -256, 
##     -246, -245, -243, -197, -190, -174, -128, -65, -42, -15, 
##     23, 45, 62, 66, 78, 104, 106, 103, 111, 111, 109, 111, 110, 
##     109, 113, 107, 97, 75, 61, 59, 60, 62, 65, 59, 58, 57, 60, 
##     61, 69, 86, 90, 92, 111, 114, 115, 124, 95, 96, 83, 60, 49, 
##     -265, -262, -268, -269, -239, -230, -205, -166, -99, -83, 
##     -57, -30, -16, -13, 12, 39, 57, 79, 95, 93, 108, 104, 111, 
##     112, 112, 108, 105, 103, 81, 79, 78, 80, 80, 75, 75, 71, 
##     71, -248, -248, -254, -257, -258, -259, -262, -270, -272, 
##     -269, -264, -264, -261, -244, -243, -245, -235, -207, -208, 
##     -200, -168, -145, -121, -72, -45, -15, 6, 48, 58, 66, 71, 
##     79, 99, 103, 99, 103, 112, 108, 107, 110, 100, 96, 99, 97, 
##     98, 103, 103, 102, 100, 106, 107, 107, 101, 101, 105, 98, 
##     94, 88, 82, 76, 44, 41, 27, 2, -17, -20, -43, -70, -83, -150, 
##     -162, -192, -246, -254, -255, -262, -264, -265, -262, -263, 
##     -268, -266, -263, -261, -253, -257, -251, -244, -244, -228, 
##     -230, -225, -188, -130, -46, -19, 0, 54, 84, 101, 109, 122, 
##     126, 129, 136, 135, 135, 130, 132, 122, 127, 122, 120, 112, 
##     105, 104, 111, 105, 108, 112, 110, 108, 106, 106, 107, 104, 
##     100, 99, 96, 92, 92, 57, 51, 54, 33, -9, 4, -15, -61, -65, 
##     -58, -79, -113, -106, -117, -156, -156, -189, -200, -209, 
##     -224, -242, -262, -271, -275, -276, -271, -268, -267, -269, 
##     -273, -276, -281, -280, -279, -282, -283, -279, -276, -280, 
##     -274, -261, -253, -253, -228, -193, -171, -36, -11, 52, 66, 
##     117, 126, 124, 130, 127, 132, 124, 113, 103, 100, 84, 85, 
##     86, 79, 78, 79, 83, 78, 73, 71, 87, 87, 88, 86, 84, 84, 102, 
##     102, 91, 84, 77, 78, 79, 79, 74, 75, 48, 52, -3, -6, -29, 
##     -112, -131, -129, -171, -168, -171, -185, -206, -202, -206, 
##     -209, -216, -223, 51, 46, 0, -17, -104, -108, -169, -186, 
##     -197, -189, -246, -261, -263, -259, -253, -257, -265, -275, 
##     -221, -231, -211, -193, -185, -142, -125, -131, -106, -67, 
##     -23, -17, -13, 23, 29, 42, 51, 57, 67, 90, 98, 102, 103, 
##     101, 111, 111, 114, 106, 111, 119, 112, 104, 96, 87, 92, 
##     100, 105, 94, 86, 90, 79, 88, 84, 77, 78, 90, 65, 33, 20, 
##     -233, -232, -241, -242, -241, -247, -251, -253, -261, -260, 
##     -261, -260, -263, -262, -263, -266, -265, -270, -270, -270, 
##     -269, -271, -271, -273, 106, 105, 93, 75, 50, 44, 0, -54, 
##     -55, -42, -56, -83, -97, -116, -165, -154, -178, -180, -206, 
##     -261, -259, -253, -250, -224, -234, -225, -212, -194, -192, 
##     -189, -163, -162, -139, -108, -90, -77, -27, -20, -19, 10, 
##     27, 35, 39, 60, 74, 113, 121, 127, 47, 96, 108, 129, 135, 
##     139, 135, 134, 132, 152, 157, 157, 149, 145, 149, 144, 129, 
##     111, 119, 98, 94, 62, -304, -302, -297, -288, -291, -275, 
##     -269, -262, -243, -235, -216, -201, -142, -122, -101, -84, 
##     -73, -69, -28, -15, 10, 39, 47, 49, 56, 63, 84, 88, 101, 
##     115, 133, 136, 132, 144, 151, 160, 159, 158, 157, 155, 154, 
##     148, 148, 144, 131, 100, 79, 68, 62, 58, 34, 41, 17, -4, 
##     -12, -77, -81, -97, -112, -117, -152, -150, -173, -177, -180, 
##     -200, -210, -223, -223, -230, -242, -254, -261, -266, -270, 
##     -278, -282, -278, -282, -282, -281, -286, -285, -286, -284, 
##     -286, -283, -283, -265, -253, -228, -151, -116, -87, -69, 
##     -60, -36, -26, 15, 40, 64, 65, 77, 96, 100, 127, 144, 140, 
##     138, 143, 125, 128, 121, 155, 164, 167, 145, 139, 138, 132, 
##     133, 129, 124, 119, 108, 81, 38, -5, -46, -54, -55, -69, 
##     -78, -96, -99, -125, -153, -161, -169, -179, -184, -197, 
##     -225, -250, -259, -254, -275, -275, -276, -284, -272, -286, 
##     -288, -293, -295, -293, -282, -284, -279, -280, -269, -265, 
##     -262, -258, -253, -243, -229, -222, -204, 155, 154, 163, 
##     168, 169, 159, 151, 151, 156, 149, 147, 148, 149, 148, 142, 
##     137, 130, 115, 106, 96, 86, 78, 46, 33, 16, -273, -273, -274, 
##     -278, -280, -278, -278, -277, -277, -277, -275, -276, -273, 
##     -267, -265, -192, -179, -174, -192, -170, -138, -109, -92, 
##     -46, -32, 48, 53, 81, 75, 107, 114, 116, 128, 134, 139, 133, 
##     131, 121, 89, 91, 71, 50, 47, 43, 48, 65, 70, 73, 76, 74, 
##     68, 69, 78, 104, 121, 141, 139, 131, 115, 126, 99, 67, 60, 
##     8, -45, -107, -159, -175, -183, -197, -246, -254, -254, -278, 
##     -280, -285, -287, -291, -287, -311, -307, -295, -298, -299, 
##     -292, -296, -293, -272, -261, -259, -226, -142, -38, -14, 
##     -6, -2, 18, 50, 70, 106, 114, 125, 129, 130, 129, 127, 121, 
##     126, 126, 128, 119, 96, 81, 74, 72, 61, 70, 78, 85, 92, 95, 
##     93, 102, 106, 117, 120, 122, 126, 129, 124, 125, 120, 99, 
##     67, 51, 15, -51, -74, -75, -103, -111, -123, -151, -245, 
##     -231, -246, -258, -282, -298, -294, -298, -300, -292, -290, 
##     -287, -286, -292, -294, -299, -284, -278, -292, -245, -239, 
##     -171, -136, -123, -97, -68, -54, -34, 5, 38, 55, 92, 117, 
##     124, 134, 131, 127, 129, 121, 116, 120, 118, 118, 119, -73, 
##     -100, -107, -136, -153, -152, -235, -234, -269, -332, -332, 
##     -321, -308, -299, -310, -312, -296, -307, -307, -305, -299, 
##     -291, -278, -251, -221, -178, -152, -130, -100, -76, -62, 
##     -43, -16, -8, 14, 26, 37, 47, 114, 142, 147, 150, 145, 134, 
##     132, 129, 112, 111, 106, 109, 119, 120, 122, 117, 118, 121, 
##     123, 123, 126, 130, 130, 131, 130, 122, 124, 113, 98, 92, 
##     15, -53, -301, -297, -294, -294, -296, -297, -274, -236, 
##     -207, -193, -142, -133, -121, -56, -2, 28, 52, 57, 77, 101, 
##     113, 118, 125, 134, 139, 143, 145, 150, 150, 139, 135, 136, 
##     127, 121, 113, 110, 107, 109, 113, 125, 130, 130, 122, 125, 
##     124, 118, 114, 115, 104, 77, 76, 67, 53, 41, 31, 2, -12, 
##     -35, -56, -73, -73, -87, -91, -158, -192, -219, -225, -247, 
##     -294, -294, -291, -292, -293, -300, -296, -298, -298, -285, 
##     -287, -275, -254, -224, -196, -186, -156, -135, -112, -37, 
##     -7, 11, 47, 52, 64, 69, 80, 85, 102, 110, 112, 121, 130, 
##     143, 145, 149, 151, 146, 105, 123, 121, 118, 118, 120, 115, 
##     137, 140, 139, 157, 155, 134, 126, 115, 96, 93, 53, 6, -68, 
##     -72, -126, -151, -163, -213, -232, -269, -279, -278, -288, 
##     -298, -301, -303, -306, -310, -310, -300, -303, -303, -290, 
##     -283, -270, -255, -244, -216, -211, -184, -151, -133, -111, 
##     -2, 7, 36, 43, 59, 74, 84, 96, -256, -258, -258, -263, -263, 
##     140, 140, 143, 149, 153, 153, 159, 151, 156, 152, 156, 160, 
##     153, 152, 144, 139, 138, 138, 135, 122, 119, -203, -204, 
##     -206, -209, -211, -231, -263, -255, -251, -248, -247, -250, 
##     -251, -265, -270, -269, -256, -259, -267, -236, -212, -216, 
##     -180, -164, -128, -92, -91, -85, -33, -40, 33, 37, 55, 85, 
##     105, 119, 131, 133, 148, 142, 147, 151, 159, 164, 168, 162, 
##     157, 159, 168, 165, 167, 167, 166, 161, 162, 164, 162, 162, 
##     161, 161, 160, 160, 157, 157, 157, 161, 157, 157, 154, 160, 
##     158, 146, 136, 107, -108, -117, -133, -168, -242, -263, -269, 
##     -271, -276, -273, -276, -281, -297, -299, -305, -302, -302, 
##     -303, -301, -306, -307, 96, 95, 100, 112, 113, 124, 126, 
##     129, 124, 121, 119, 136, 146, 145, 147, 143, 120, 118, 109, 
##     88, 90, 68, 57, 17, -6, -2, -73, -73, -115, -105, -140, -146, 
##     -154, -195, -209, -228, -233, -236, -241, -250, -272, -285, 
##     -280, -278, -145, -132, -90, -89, -82, -44, -31, -21, 2, 
##     20, 43, 72, 92, 93, 118, 130, 135, 129, 133, 139, 146, 147, 
##     167, 50, 32, 10, 9, -46, -54, -97, -139, -162, -196, -208, 
##     -216, -222, -261, -276, -293, -291, -285, -282, -293, -124, 
##     -134, -168, -184, -212, -317, -246, -224, -227, -226, -228, 
##     -240, -290, -304, -266, -259, -214, -169, -146, -70, 93, 
##     81, 88, 71, 46, 51, 57, 49, -6, 4, -33, -95, -106, -71, -114, 
##     -206, -251, -275, -280, -300, -315, -306, -300, -299, -214, 
##     -223, -223, -234, -235, -300, -294, -280, -278, -234, -153, 
##     -118, -61, -57, -20, -5, 11, 28, 48, 63, 70, 83, 88, 91, 
##     103, 92, 85, 82, 61, 65, 58, 34, 51, -264, -260, -261, -260, 
##     -253, -249, -249, -257, -259, -257, -255, -255, -256, -255, 
##     -256, -256, -253, -252, -253, -253, -258, -257, -249, -227, 
##     -187, -156, -134, -113, -66, -56, -51, -29, 1, 20, 28, 55, 
##     116, 157, 147, 151, 154, 165, 154, 127, 113, 76, 69, 48, 
##     24, -64, -86, -121, 83, 64, 56, 34, -4, -32, -79, -103, -112, 
##     -114, -101, -37, -11, 3, 26, 37, 62, 70, 92, 107, 105, 93, 
##     56, 37, 24, -9, 7, -4, -63, -73, -88, -201, -247, -241, -227, 
##     -223, -223, -230, -223, -224, -223, -224, -222, -224, -227, 
##     -227, -221, -225, -214, -209, -191, -177, -165, -155, -147, 
##     -151, -218, -223, -230, -231, -224, -229, -231, -219, -228, 
##     -229, -230, -231, -230, -227, -226, -225, -233, -223, -224, 
##     -72, -47, -33, 31, 56, 67, 81, 94, 99, 103, 108, 109, 101, 
##     88, 83, 52, 29, -26, -32, -37, -37, -30, -9, -1, 27, 46, 
##     75, -9, 13, 50, 66, 93, 123, 123, 132, 140, 154, 150, 145, 
##     160, 160, 150, 134, 133, 108, 70, 27, -227, -238, -246, -236, 
##     -248, -250, -246, -240, -238, -241, -246, -248, -245, -249, 
##     -239, -233, -226, -212, -152, -121, -91, 310, 320, 333, 326, 
##     325, 328, 345, 340, 334, 337, 349, 337, 336, 309, 286, 287, 
##     291, 226, 212, 147, 146, 86, 53, 56, 37, 11, 20, -15, -23, 
##     245, 207, 202, 75, 65, 41, 1, -39, -70, -14, -4, 6, 21, 0, 
##     -1, 2, -1, -2, -14, -23, -29, 20, 5, 6, 5, 0, 2, 15, 73, 
##     113, 130, 145, 188, 201, 244, 32, 43, -215, -221, -254, -238, 
##     -237, -238, -241, -255, -243, -214, -203, -170, -151, -111, 
##     -67, -49, -13, -2, -250, -190, -170, -119, -74, -68, -38, 
##     -17, 8, 11, 38, 46, 58, 80, 87, 89, 93, 97, 81, 66, 25, -14, 
##     0, 19, 36, 78, 39, 19, 17, 12, 12, -25, -53, -52, -40, -11, 
##     16, 27, 73, 93, 92, 101, 108, 113, 123, 113, 86, 72, 83, 
##     82, 94, 113, 112, 101, 104, 109, 48, 38, 3, -1, -31, -43, 
##     -56, -70, -148, -183, -219, -269, -248, -245, -188, -130, 
##     -108, -18, 1, 33, 40, 59, 51, 49, 48, 27, 4, -35, -39, -31, 
##     -22, -2, 31, 48, 46, 43, 73, 90, 32, 38, 48, 55, 60, 59, 
##     60, 61, 59, 59, 63, 55, 43, 37, 27, 17, 11, 42, 45, 67, 95, 
##     97, 114, -278, -278, -277, -277, -277, -278, -277, -276, 
##     -275, -276, -272, -273, -273, -269, -257, -252, -236, -236, 
##     -235, -213, -197, -191, -183, -110, -34, -19, -3, -274, -274, 
##     -260, -231, -218, -204, -151, -81, -32, 0, 30, 51, 62, 64, 
##     76, 99, 118, 130, 137, 132, 124, 119, 127, 134, 148, 153, 
##     -147, -178, -202, -211, -211, -214, -217, -254, -255, -259, 
##     -263, -269, -275, -272, -271, -270, -268, -267, -268, -264, 
##     -270, -257, -228, -208, -158, 387, 389, 379, 347, 329, 327, 
##     306, 263, 228, 211, 182, 130, 119, 105, 106, 97, 19, -1, 
##     -15, -26, -56, -57, -3, -11, -1, 1, -6, -10, -14, -12, -11, 
##     -11, -13, -7, -9, -5, 5, 16, 26, 42, 50, 91, 111, 142, 161, 
##     170, 171, 235, 245, 279, 303, 312, 317, 324, 317, 328, 340, 
##     337, 335, 317, 292, 290, 242, 235, 219, 201, 197, 133, 138, 
##     131, 119, 108, 81, 57, 49, 36, 23, 12, 7, 18, 29, 31, 26, 
##     11, 6, 11, 20, 16, 15, 18, 21, 21, 45, 51, 54, 62, 77, 76, 
##     64, 102, 145, 165, 178, 185, 206, 239, 269, 299, 318, 330, 
##     340, 338, 334, 330, 332, 337, 311, 292, 272, 232, 220, 168, 
##     155, 148, 147, 88, 77, 64, 20, 28, 29, 34, 22, 29, 10, 1, 
##     -9, -17, -15, -1, 1, -1, -7, -3, -3, -4, -8, -8, -10, -13, 
##     0, -3, 13, 21, 53, 98, 116, 128, 149, 125, 119, 127, 96, 
##     92, 77, 30, 16, -33, -31, -20, 9, 6, 2, 2, -2, -2, -2, -11, 
##     1, -3, 15, 15, 25, 37, 69, 79, 88, 93, 108, 121, 209, 216, 
##     254, 287, 294, 314, 335, 344, 346, 353, 354, 356, 357, 361, 
##     344, 353, 298, 307, 282, 255, 240, 194, 220, 182, 156, 141, 
##     99, 64, 59, 56, 39, -3, -2, 0, 3, 10, 30, 19, 15, 12, 13, 
##     12, -3, 1, 3, 8, 9, 18, 30, 34, 40, 70, 113, 140, 155, 165, 
##     348, 337, 341, 292, 289, 219, 228, 196, 139, 110, 85, 70, 
##     90, 77, 45, 32, 31, 25, 17, 10, 5, 1, 9, 5, 2, 1, 2, 2, 8, 
##     5, 6, 13, 31, 47, 59, 131, 125, 132, 162, 228, 245, 264, 
##     292, 315, 330, 338, 322, 314, 308, 301, 288, 284, 271, 251, 
##     237, 228, 192, 143, 137, 116, 83, 81, 70, 30, 14, 8, -1, 
##     -6, 0, 2, 0, -1, -9, -8, 0, 14, 30, 41, 47, 59, 87, 111, 
##     133, 169, 262, 272, 308, 347, 346, 361, 357, 337, 284, 280, 
##     288, 235, 202, 145, 109, 109, 77, 70, 65, 45, 37, 26, 23, 
##     -8, -9, -8, -5, -3, -2, -2, -7, -5, -3, -1, 2, 11, 29, 50, 
##     55, 64, 65, 76, 89, 154, 172, 193, 216, 230, 243, 284, 329, 
##     331, -132, -254, -274, -250, -246, -224, -223, -230, -228, 
##     -229, -241, -230, -224, -201, -192, -189, -127, -113, -99, 
##     -68, -46, -26, 6, 27, 43, 50, 84, 90, 93, 99, 99, 91, 86, 
##     56, 43, 35, 2, -14, -27, -42, -78, -92, -91, -86, -34, -18, 
##     -5, 8, 47, 73, 79, 49, -6, -23, -57, -70, -87, -115, -132, 
##     -172, -226, -250, -258, -264, -262, -252, -243, -241, -237, 
##     -234, -227, -229, -234, -256, -250, -234, -222, -210, -200, 
##     -163, -147, -129, -92, -70, -50, -33, -22, 30, 45, 74, 71, 
##     75, 80, 77, 40, 1, -18, -57, -95, -88, -70, -27, 50, 58, 
##     67, 78, 83, 88, 81, 76, 60, 51, 42, -7, -19, -27, -48, -92, 
##     -113, -141, -158, -264, -224, -218, -215, -217, -218, -217, 
##     -216, -222, -226, -235, -232, -229, -224, -217, -210, -179, 
##     -156, -134, -108, -81, -57, -31, -13, 35, 77, 83, 81, 80, 
##     78, 79, 75, 72, 70, 54, 18, 8, -21, -37, -84, -88, -89, -85, 
##     -55, 1, 16, 25, 56, 68, 77, 92, 101, 134, 127, 107, 100, 
##     88, 47, -236, -237, -235, -232, -229, -229, -204, -168, -161, 
##     -101, -86, -75, -12, -234, -241, -230, -226, -225, -223, 
##     -224, -225, -224, -227, -230, -229, -236, -234, -229, -207, 
##     -211, -218, -209, -161, -116, -98, -36, 54, 76, 88, 125, 
##     136, 156, 130, 113, 92, 67, 23, 26, -81, -75, -125, -183, 
##     -221, -229, -228, -228, -234, -235, -233, -230, -232, -229, 
##     -229, -230, -234, -235, -228, -222, -219, -203, -202, -110, 
##     -71, -54, -18, 2, 31, 68, 125, 142, 139, 155, 162, 144, 137, 
##     119, 106, 84, 27, 16, 3, -18, -33, -84, -97, -145, -169, 
##     -207, -235, -226, -224, -223, -225, -229, -228, -222, -223, 
##     -222, -218, -203, -193, -185, -144, -107, -96, -55, -35, 
##     -6, 33, 49, 65, 95, 135, 143, 154, 157, 159, 160, 133, 126, 
##     122, 115, 96, 65, 69, 41, 10, -12, -31, -56, -59, -68, -88, 
##     -111, -200, -229, -245, -240, -233, -229, -225, -232, -239, 
##     -233, -220, -204, -92, -70, -7, 9, 52, 65, 73, 111, 133, 
##     145, 150, 156, 164, 161, 159, 162, 149, 141, 134, 130, 119, 
##     112, 103, 89, 75, -231, -236, -237, -237, -239, -238, -235, 
##     -231, -223, -196, -165, -157, -144, -123, -80, -53, 26, 36, 
##     108, 127, 143, 154, 161, 161, 158, 139, 129, 93, 33, -23, 
##     -23, -26, -106, -147, -147, -154, -198, -206, -224, -234, 
##     -251, -250, -240, -234, -230, -227, -226, -227, -232, -233, 
##     -239, -234, -232, -229, -227, -218, 60, 62, 68, 70, 78, 79, 
##     81, 72, 64, 60, 51, 43, 34, -38, -37, -36, -13, 11, 27, 28, 
##     54, 74, 94, 102, 106, 118, 119, 87, 64, 50, 47, 10, -32, 
##     -52, -92, -105, -157, -158, -193, -219, -222, -238, -239, 
##     -241, -232, -222, -208, -202, -197, -200, -202, -206, -209, 
##     -207, -206, -194, -132, -41, -27, -3, 9, 48, 62, 71, 79, 
##     98, 97, 96, 98, 96, 78, 72, 50, 28, 22, 15, 10, 22, 42, 64, 
##     77, 81, 74, 62, 55, 40, 21, -14, -53, -46, -64, -112, -140, 
##     -173, -188, -209, -213, -236, -255, -260, -262, -279, -280, 
##     -275, -273, -268, -263, -262, -264, -306, -300, -287, -264, 
##     -174, -111, 77, 80, 74, 72, -32, -27, -45, -56, -101, -112, 
##     -129, -139, -148, -168, -183, -229, -235, -237, -239, -242, 
##     -249, -253, -253, -255, -259, -266, -266, -264, -263, -258, 
##     -259, -264, -264, -260, -260, -280, -272, -272, -273, -278, 
##     -276, -276, -276, -285, -285, -286, -293, -288, -288, -290, 
##     -279, -283, -280, -280, -276, -280, -276, -290, -290, -286, 
##     -283, -285, -291, -280, -282, -278, -281, -279, -285, -289, 
##     -280, -277, -276, -281, -281, -276, -279, -282, -281, -289, 
##     -284, -289, -287, -290, -285, -273, -277, -280, -281, -271, 
##     -271, -268, -269, -280, -280, -268, -277, -276, -273, -278, 
##     -278, -277, -274, -281, -289, -275, -278, -278, -263, -257, 
##     -251, -262, -263, -264, -264, -260, -260, -262, -263, -262, 
##     -263, -264, -264, -265, -265, -266, -265, -266, -265, -267, 
##     -267, -267, -266, -266, -265, -267, -262, -260, -260, -256, 
##     -251, -248, -243, -244, -239, -229, -218, -212, -144, -65, 
##     -45, -29, 43, 68, 71, 69, 64, 67, 60, 35, 21, -11, -110, 
##     -145, -154, -169, -194, -208, -232, -249, -255, -270, -272, 
##     -265, -257, -259, -265, -269, -268, -253, -251, -239, -214, 
##     -184, -173, -161, -104, -81, -66, -27, -14, 8, 12, 29, 79, 
##     93, 88, 77, 58, 50, 50, 36, 26, -25, -49, -64, -79, -112, 
##     -134, -158, -182, -216, -228, -241, -257, -262, -266, 27, 
##     15, -2, -14, -28, -46, -94, -118, -145, -155, -148, -167, 
##     -186, -194, -227, -254, -255, -248, -244, -211, -198, -186, 
##     -181, -134, -101, -93, -76, -43, -22, -16, -9, 34, 46, 58, 
##     74, 80, 82, 68, 61, 40, 16, 6, -18, -43, -48, -51, -98, -111, 
##     -159, -196, -212, -225, -260, -268, -266, -260, -261, -261, 
##     -263, -265, -269, -273, -265, -260, -260, -252, -249, -228, 
##     -216, -180, -168, -158, -150, -91, -77, -51, -38, -2, 47, 
##     65, 72, 79, 81, 88, 88, 91, 93, 83, 76, 68, 58, 57, -68, 
##     -80, -103, -119, -132, -145, -178, -194, -300, -303, -276, 
##     -272, -277, -270, -276, -272, -258, 98, 96, 86, 88, 102, 
##     88, 93, 69, 55, 54, 54, 34, -27, -29, -81, -87, -168, -224, 
##     -237, -270, -311, -323, -330, -334, -326, -301, -238, -201, 
##     -198, -214, -243, -249, -263, -280, -282, -292, -299, -292, 
##     -297, -265, -163, -130, -92, -66, -43, -22, -4, 41, 67, 87, 
##     108, 134, 136, 131, 113, 107, 107, 61, 58, 31, 43, 35, -5, 
##     -51, -40, 0, -33, -171, -129, -342, -272, -312, -332, -324, 
##     -302, -288, -276, -282, -272, -225, -233, -275, -305, -316, 
##     -326, -339, -307, -216, -157, -112, -29, 34, 48, 56, 63, 
##     80, 105, 111, 103, 79, 78, 55, 48, 51, 16, -41, -94, -151, 
##     -161, -187, -199, -206, -215, -247, -260, -270, -279, -286, 
##     -287, -281, -256, -240, -234, -237, -249, -255, -262, -256, 
##     -256, -257, -262, -265, -262, -258, -255, -259, -264, -259, 
##     -258, -259, -259, -264, -267, -264, -259, -260, -263, -261, 
##     -262, -259, -260, -259, -255, -256, -270, -264, -255, -247, 
##     -244, -240, -237, -231, -215, -197, -192, -140, -120, -103, 
##     -80, -70, -43, 35, 47, 78, 79, 82, 76, 70, 68, 61, -15, -35, 
##     -82, -84, -166, -159, -197, -240, -204, -228, -268, -271, 
##     -253, -266, -268, -262, -258, -262, -267, -265, -262, -259, 
##     -258, -257, -258, -264, -272, -257, -247, -250, -211, -208, 
##     -154, -147, -147, -74, -35, 19, 25, 36, 66, 87, 75, 73, 79, 
##     56, 15, -4, -4, -102, -98, -201, -280, -288, -259, -257, 
##     -253, -259, -272, -285, -280, -271, -269, -266, -261, -253, 
##     -259, -256, -271, -287, -274, -269, -275, -244, -239, -199, 
##     -182, -83, -12, 16, 73, 85, 76, 59, 45, -26, -97, -81, -153, 
##     -263, -264, -299, -300, -278, -263, -256, -262, -272, -275, 
##     -275, -277, -270, -269, -247, -166, -144, -127, -124, -83, 
##     -49, 40, 48, 58, 87, 73, 67, -6, -17, -119, -162, -152, -178, 
##     -228, -213, -254, -280, -299, -317, -319, -312, -307, -286, 
##     -262, -257, -241, -228, -236, -259, -259, -286, -270, -270, 
##     -250, -205, -205, -177, -147, -125, -103, -79, -63, 1, 19, 
##     71, 84, 102, 51, 1, -62, -97, -115, -230, -239, -201, -286, 
##     -277, -277, -299, -270, -243, -245, -251, -256, -262, -264, 
##     -263, -266, -260, -238, -212, -137, -124, -83, -63, -29, 
##     5, 48, 42, 85, 97, 92, 103, 88, 73, 71, 52, -6, -26, -93, 
##     -166, -168, -173, -227, -230, -301, -303, -288, -289, -286, 
##     -259, -254, -263, -247, -249, -252, -269, -269, -281, -274, 
##     -265, -255, -222, -112, 4, 25, 33, 41, 48, 53, 54, 48, 29, 
##     -16, -42, -78, -97, -103, -117, -179, -202, -278, -270, -250, 
##     -257, -260, -295, -288, -270, -253, -240, -240, -245, -282, 
##     -271, -271, -264, -247, -140, -118, -75, -43, -15, 38, 50, 
##     54, 80, 48, 52, 3, -9, -18, -54, -77, -114, -155, -123, -212, 
##     -317, -307, -315, -273, -258, -243, -247, -248, -251, -265, 
##     -270, -274, -255, -254, -248, -186, -117, -105, -68, 4, 68, 
##     40, -30, -16, -38, -106, -163, -208, -255, -247, -271, -273, 
##     -263, -279, -264, -255, -250, -243, -246, -256, -288, -260, 
##     -268, -260, -217, -199, -190, -145, -109, -79, -17, 95, 92, 
##     89, 80, 87, 86, 83, 49, 25, 25, 3, -24, -53, -41, -207, -201, 
##     -251, -264, -266, -266, -261, -258, -259, -263, -268, -269, 
##     -263, -258, -259, -260, -265, -265, -259, -258, -266, -262, 
##     -262, -263, -260, -260, -262, -262, -261, -262, -262, -262, 
##     -263, -261, -261, -263, -262, -263, 123, 117, 98, 81, 77, 
##     20, -7, -40, -198, -253, -276, -270, -328, -298, -262, -233, 
##     -210, -208, -213, -254, -257, -306, -313, -316, -311, -299, 
##     -122, -109, -85, -43, -23, 83, 57, -34, -102, -126, -122, 
##     -115, -139, -150, -177, -190, -194, -192, -206, -212, -225, 
##     -233, -257, -273, -268, -263, -260, -258, -270, -255, -254, 
##     -261, -215, -209, -205, -164, -83, -100, -96, -129, -135, 
##     -172, -172, -169, -185, -200, -209, -233, -239, -249, -253, 
##     -259, -262, -259, -257, -260, -262, -253, 110, 103, 102, 
##     89, 87, 85, 74, 78, 70, 71, 69, 67, 66, 78, 55, 52, 47, 36, 
##     23, 21, 15, -14, -42, -80, -106, -145, -137, -153, -220, 
##     -257, -254, -245, -263, -263, -265, -257, -307, -316, -320, 
##     -321, -309, -299, -294, -293, -295, -294, -289, -287, -300, 
##     -301, -309, -305, -304, -306, -303, -302, -306, -303, -307, 
##     -307, -305, -294, -296, -294, -291, -290, -292, -272, -272, 
##     -281, -292, -312, -308, -307, -308, -304, -305, -302, -296, 
##     -291, -288, -305, -300, -296, -293, -286, -290, -292, -288, 
##     -289, -284, -286, -284, -267, -272, -271, -270, -259, -256, 
##     -237, -233, -222, -211, -203, -204, -185, -147, -131, -88, 
##     -54, -25, -8, 9, 38, 56, 63, 80, 97, 93, 103, 95, 104, 97, 
##     96, 94, 91, 84, 79, 67, 64, 53, 46, 21, 21, 11, -1, -69, 
##     -74, -88, -97, -100, -107, -135, -129, -141, -158, -168, 
##     -178, -180, -194, -207, -209, -210, -208, -210, -213, -217, 
##     -227, -253, -256, -261, -263, -279, -280, -278, -275, -275, 
##     -273, -271, -267, -260, -258, -245, -241, -231, -220, -209, 
##     -190, -144, -122, -116, -97, -98, -87, -30, -25, 24, 29, 
##     54, 50, 62, 69, 75, 75, 110, 114, 116, 116, 119, 116, 104, 
##     108, 101, 89, 86, 74, 64, 50, 33, 26, -11, -16, -252, -252, 
##     -249, -250, -255, -258, -256, -257, -256, -267, -217, -226, 
##     -220, -209, -206, -208, -204, -183, -180, -159, -142, -132, 
##     -120, -110, -79, -52, 24, 42, 50, 56, 68, 79, 82, 82, 90, 
##     95, 98, 92, 90, 76, 76, 65, 55, 53, 34, 28, 14, -8, -44, 
##     -48, -57, -80, -125, -143, -178, -182, -181, -175, -218, 
##     -245, -248, -251, -249, -257, -259, -258, -259, -262, -268, 
##     -277, -290, -285, -275, -280, -288, -291, -269, -238, -218, 
##     -210, -214, -206, -195, -168, -156, -128, -94, -89, -59, 
##     -46, -39, -32, -20, -15, -1, 59, 64, 74, 71, 85, 82, 82, 
##     79, 73, 65, 60, 61, 59, 32, -3, -5, -24, -40, -74, -88, -154, 
##     -149, -181, -195, -206, -212, -231, -234, -252, -254, -254, 
##     -257, -258, -260, -259, -259, -265, -270, -271, -272, -276, 
##     -274, -257, -243, -239, -244, -241, -238, -241, -237, -219, 
##     -200, -147, -115, -103, -91, -20, -15, -10, -1, 18, 25, 63, 
##     74, 75, 71, 71, 76, 83, 85, 86, -260, -270, -268, -269, -273, 
##     -275, -282, -284, -284, -283, -281, -276, -278, -277, -266, 
##     -274, -270, -257, -246, -240, -218, -212, -203, -194, -187, 
##     -178, -177, -121, -86, -71, -51, -50, -42, -34, -19, -3, 
##     7, 43, 68, 72, 69, 79, 85, 96, 105, 107, 105, 103, 90, 87, 
##     66, 59, 22, -30, -65, -118, -117, -132, -159, -187, -207, 
##     -213, -254, -268, -280, -304, -307, -284, -270, -261, -282, 
##     -289, -290, -286, -282, -282, -283, -277, -281, -278, -263, 
##     -252, -219, -195, -200, -193, -144, -138, -132, -56, -25, 
##     -16, -7, -5, 18, 39, 54, 69, 77, 88, 84, 84, 89, 93, 79, 
##     57, 38, 13, -25, -73, -123, -139, -138, -163, -170, -173, 
##     -190, -214, -222, -232, -231, -237, -253, -257, -266, -276, 
##     -280, -282, -284, -284, -274, -275, -278, -284, -277, -282, 
##     -278, -262, -254, -257, -226, -222, -201, -187, -158, -145, 
##     -137, -104, -83, -38, -15, 28, 44, 67, 76, 81, 87, 75, 72, 
##     75, 77, 76, 80, 68, 59, 60, 36, 35, 22, -10, -5, -50, -74, 
##     -101, -109, -159, -153, -152, -197, -208, -206, -173, -190, 
##     -206, -244, -247, -245, -252, -259, 87, 78, 59, 48, 14, 6, 
##     0, -16, -20, -27, -105, -167, -177, -197, -202, -229, -232, 
##     -236, -245, -255, -17, -48, -48, -100, -125, -155, -146, 
##     -145, -183, -188, -201, -217, -238, -259, -250, -250, -252, 
##     -285, -305, -300, -299, -295, -292, -293, -289, -290, -291, 
##     -299, -289, -287, -287, -285, -287, -290, -292, -292, -296, 
##     -294, -278, -277, -281, -275, -275, -280, -285, -282, -261, 
##     -247, -229, -215, -189, -176, -164, -153, -93, -59, -52, 
##     -44, -10, -1, 14, 21, 56, 65, 66, 83, 107, 116, 114, 123, 
##     124, 119, 109, 107, 120, 114, 118, 122, 109, 102, 96, 97, 
##     82, 86, 96, 62, 51, 25, 17, -51, -72, -148, -126, -112, -84, 
##     -75, -60, -38, -22, -14, 10, 80, 89, 96, 98, 125, 130, 134, 
##     132, 133, 116, 124, 143, 153, 151, 146, 138, 143, 140, 142, 
##     140, 133, 119, 108, 114, 131, 135, 138, -199, -203, -214, 
##     -224, -292, -301, -295, -296, -299, -299, -298, -299, -300, 
##     -301, -303, -309, -308, -280, -260, -261, -270, -272, -255, 
##     -230, -143, -124, -31, -2, 17, 101, 106, 114, 128, 133, 128, 
##     132, 136, 134, 128, 124, 114, 114, 113, 110, 108, 113, 117, 
##     116, 111, 112, 125, 127, 129, 127, 128, 131, 131, 132, 123, 
##     119, 116, 111, 101, 72, 65, 27, 19, 4, -1, -13, -76, -84, 
##     -131, -138, -210, -220, -237, -220, -219, -256, -267, -271, 
##     -279, -290, -281, -288, -286, -291, -281, -276, -255, -237, 
##     -229, -220, -188, -118, -53, -23, -2, 7, 15, 23, 37, 38, 
##     49, 56, 65, 92, 104, 108, 117, 126, 155, 155, 152, 145, 139, 
##     113, 100, 100, 102, 107, 110, 117, 125, 127, 116, 116, 116, 
##     133, 137, 135, 127, 129, 97, 52, 58, -4, -73, -78, -88, -108, 
##     -129, -158, -161, -218, -224, -227, -241, -261, -276, -287, 
##     -293, -314, -311, -311, -314, -314, -302, -295, -304, -310, 
##     -307, -314, -309, -294, -293, -292, -266, -261, -257, 112, 
##     97, 101, 102, 104, 108, 108, 109, 110, 111, 110, 110, 115, 
##     117, 127, 140, 138, 140, 140, 135, 134, 95, 71, 66, -308, 
##     -299, -302, -290, -285, -286, -275, -275, -271, -260, -220, 
##     -204, -197, -188, -185, -173, -166, -145, -133, -115, -54, 
##     -63, -59, -20, 14, 28, 69, 67, 67, 82, 86, 88, 90, 81, 57, 
##     63, 46, 34, 34, 11, 10, -27, -43, -40, -79, -84, -109, -117, 
##     -141, -162, -198, -206, -234, -243, -252, -259, -269, -270, 
##     -278, -284, -279, -275, -277, -279, -275, -268, -256, -245, 
##     -183, -165, -117, -83, -64, -59, -47, -21, -12, -6, 11, 29, 
##     55, 63, 68, 63, 64, 74, 85, 94, 95, 93, 75, 73, 78, 77, 78, 
##     70, 66, 47, 25, 13, -7, -7, -26, -44, -61, -64, -96, -98, 
##     -100, -108, -121, -144, -203, -219, -230, -228, -227, -230, 
##     -256, -273, -296, -277, -277, -282, -296, -291, -285, -249, 
##     -235, -225, -207, -195, -170, -55, -39, -30, -23, -78, -84, 
##     -90, -106, -114, -135, -151, -159, -191, -194, -200, -219, 
##     -229, -241, -267, -263, -268, -288, -301, -301, -293, -301, 
##     -300, 103, 102, 102, 97, 55, 58, 55, 41, 31, 29, 13, -33, 
##     -50, -67, -71, -77, -85, -105, -118, -136, -164, -168, -201, 
##     -212, -220, -225, -274, -293, -293, -290, -284, -280, -279, 
##     -283, -286, -274, -266, -253, -227, -206, -162, -114, -74, 
##     -61, -44, -45, 5, 13, 26, 37, 53, 62, 51, 66, 79, 87, -291, 
##     -290, -280, -259, -226, -214, -199, -149, -141, -113, -30, 
##     -5, 32, 34, 42, 54, 68, 97, 108, 4, 26, 52, 55, 66, 84, 80, 
##     86, 78, 84, 87, 79, 63, 57, 43, 42, 14, 9, 1, -9, -19, -24, 
##     -41, -69, 14, -66, -78, -94, -151, -193, -195, -198, -211, 
##     -231, -293, -299, -293, -295, -294, -297, -296, -298, -175, 
##     -152, -133, -118, -94, -72, -22, 23, 40, 46, 79, 87, 95, 
##     103, 110, 125, 133, 139, 146, 144, 147, 121, 112, 153, 145, 
##     138, 142, 129, 127, 128, 120, 113, 69, 49, 29, 36, 32, 9, 
##     -29, -38, -39, -56, -73, -92, -106, -123, -163, -184, -187, 
##     -262, -259, -261, -245, -247, -246, -230, -239, -231, -220, 
##     -180, 13, 56, 66, 73, 71, 86, 109, 133, 120, 120, -271, -280, 
##     -279, -274, -264, -264, -255, -252, -273, -266, -267, -264, 
##     -258, -263, -269, -266, -256, -260, -263, -259, -264, -257, 
##     -247, -246, -248, -264, -259, -263, -263, -261, -257, -264, 
##     -261, -253, -252, -261, -262, -254, -255, -254, -4, -33, 
##     -59, -111, -108, -149, -160, -151, -156, -195, -201, -232, 
##     -239, -252, -247, -238, -229, -227, 69, 100, 96, 97, 102, 
##     116, 114, 103, 96, 93, 64, 18, -54, -46, -77, -99, -89, -123, 
##     -150, -161, -186, -204, -202, -200, -211, -220, 37, 6, -24, 
##     -39, -50, -66, -88, -106, -153, -180, -200, -217, -232, -233, 
##     -230, -219, -218, -223, -222, -225, -231, -231, -240, -251, 
##     -252, -243, -238, -237, -240, -12, 2, 12, 7, 4, 3, 33, 54, 
##     68, 118, 175, 227, 247, 254, 315, 325, 332, 341, 343, 355, 
##     359, 193, 207, 217, 264, 295, 316, 334, 344, 354, 357, 351, 
##     342, 310, 306, 287, 242, 243, 213, 208, 186, 163, 158, 78, 
##     69, 62, 41, 59, 55, 24, 6, -7, 134, 152, 182, 198, 220, 251, 
##     272, 310, 319, 328, 331, 335, 331, 338, 320, 316, 309, 300, 
##     285, 272, 274, 272, 182, 216, 224, 257, 284, 323, 332, 333, 
##     324, 325, 331, 325, 323, 315, 311, 267, 248, 231, 159, 154, 
##     132, 23, 14, -17, -17, -9, 4, 5, 4, -2, -2, -2, -7, -2, 12, 
##     19, 22, 52, 64, 115, 118, 129, 168, -269, -267, -234, -203, 
##     -193, -182, -161, -129, -116, -103, -81, -58, -27, -15, 1, 
##     11, 25, 55, 71, 71, 71, 74, 76, 78, 80, 81, 82, 84, 73, 72, 
##     -99, -28, 31, 37, 71, 73, 78, 77, 78, 74, 68, 53, 44, 42, 
##     26, 31, 26, 41, 55, 70, 77, 88, -104, -103, -97, -62, -50, 
##     -30, -26, -8, 4, 12, 54, 81, 93, 102, 113, 121, 124, 132, 
##     137, 126, 127, 105, 111, 147, 153, 150, 142, 146, 136, 141, 
##     135, 117, 67, 44, 37, -45, -74, -83, -95, -107, -132, -133, 
##     -127, -126, -117, -108, -107, -122, -109, -72, -41, -28, 
##     18, 27, 37, 43, 63, 85, 112, 117, 123, 115, 118, 113, 108, 
##     112, 128, 134, 137, 135, 129, 128, 90, 94, 102, 117, 125, 
##     129, 124, 113, 109, 120, 139, 128, 132, 106, 84, 72, 65, 
##     53, 37, 5, -18, -26, -37, -40, -65, -68, -64, -60, -56, -48, 
##     -44, -39, -30, -27, -19, -13, 1, 5, 14, 26, 42, 57, 72, 86, 
##     90, 100, 104, 112, 115, 118, 116, 114, 120, 124, 129, 125, 
##     127, 123, 121, 116, 95, 84, 73, 52, 24, 21, 17, -17, -29, 
##     -49, -75, -74, -82, -86, 361, 353, 348, 335, 334, 329, 312, 
##     280, 273, 242, 224, 240, 231, 214, 187, 124, 77, 75, 84, 
##     37, -1, 2, 2, -4, -1, 0, -1, -5, -12, -2, 15, 11, -10, 38, 
##     54, 42, 56, 71, 89, 134, 148, 180, 199, 199, 213, 261, 284, 
##     294, 288, 307, 307, 320, 317, 329, 334, 333, 344, 346, 245, 
##     273, 266, 296, 293, 273, 270, 258, 248, 250, 258, 265, 268, 
##     275, 278, 280, 282, 286, 306, 316, 323, 333, 336, 342, 348, 
##     389, 395, 405, 407, 403, 392, 367, 371, 349, 338, 293, 285, 
##     291, 283, 257, 247, 224, 195, 230, 213, 216, 197, 211, 209, 
##     212, 213, 220, 222, 223, 259, 269, 305, 324, 338, 344, 345, 
##     349, 351, 391, 412, 418, 425, 426, 426, 424, 421, 412, 404, 
##     400, 397, 235, 239, 240, 279, 283, 293, 299, 317, 351, 357, 
##     369, 374, 379, 377, 388, 404, 409, 417, 418, 417, 428, 423, 
##     428, 424, 410, 399, 410, 389, 379, 353, 340, 339, 329, 299, 
##     295, 281, 258, 244, 198, 184, 185, 182, 177, 176, 173, 173, 
##     190, 193, 206, 249, 266, 279, 298, 314, 333, 388, 392, 398, 
##     400, 410, 409, 410, 420, 424, 419, 423, 424, 417, 409, 388, 
##     385, 353, 342, 397, 405, 401, 413, 422, 425, 425, 422, 408, 
##     409, 421, 413, 396, 391, 352, 365, 340, 324, 333, 320, 298, 
##     288, 275, 255, 204, 221, 223, 225, 234, 226, 215, 215, 217, 
##     215, 214, 214, 216, 215, 222, 222, 228, 234, 250, 288, 296, 
##     303, 308, 325, 324, 329, 347, 371, 391, 408, 407, 412, 418, 
##     430, 437, 435, 240, 240, 240, 241, 245, 253, 254, 258, 283, 
##     288, 299, 335, 348, 352, 360, 387, 407, 417, 417, 425, 420, 
##     421, 426, 431, 435, 394, 378, 379, 372, 339, 301, 298, 280, 
##     267, 273, 257, 248, 245, 236, 217, 225, 215, 209, 212, 212, 
##     210, 207, 204, 208, 211, 218, 217, 225, 230, 258, 280, 300, 
##     321, 331, 341, 350, 360, 362, 373, 378, 387, 395, 431, 422, 
##     422, 419, 417, 405, 387, 381, 360, 337, 344, 346, 308, 295, 
##     268, 225, 203, 202, 202, 210, 216, 225, 237, 258, 273, 282, 
##     342, 353, 374, 383, 389, 392, 391, 399, 403, 412, 414, 414, 
##     412, 411, 417, 417, 409, 393, 329, 331, 261, 272, 233, 70, 
##     74, 72, 57, 56, 12, 0, -27, -39, -39, -81, -80, -144, -142, 
##     -151, -180, -42, 2, 6, 36, 49, 65, 93, 100, 103, 91, 102, 
##     101, 92, 83, 84, 82, 42, 13, 24, 13, 12, -46, -42, -40, -110, 
##     -172, -247, -253, -247, -256, -259, -260, -257, -249, -251, 
##     -265, -282, -231, -202, -185, -150, -94, -59, -42, -22, -15, 
##     -3, 24, 25, 28, 30, 35, 41, 51, 57, 54, 71, 68, 82, 77, 80, 
##     88, 97, 96, 110, 122, 127, 134, 145, 150, 151, 161, 160, 
##     155, 158, 158, 157, 153, 147, 140, 130, 127, 123, 115, 70, 
##     63, 20, -1, 0, -12, -15, 49, 32, -10, -22, -31, -28, -39, 
##     -48, -64, -70, -82, -95, -95, -94, -95, -80, -80, -81, -70, 
##     -61, -53, -28, -21, -9, 1, 13, 34, 74, 77, 84, 100, 105, 
##     114, 118, 132, 139, 153, 142, 146, 149, 151, 157, 157, 158, 
##     149, 143, 140, 128, 123, 101, 95, 55, 38, 16, 15, 6, -15, 
##     -11, -36, -65, -65, -61, -57, -58, -55, -56, -55, -56, -53, 
##     -49, -51, -45, -28, 3, 7, 13, 22, 45, 67, 79, 122, 136, 137, 
##     137, 147, 153, 154, 157, 158, 153, 150, 155, 162, 156, 163, 
##     153, 155, 151, 153, 139, 143, 136, 134, 132, 125, 108, 100, 
##     43, 25, -9, -27, -34, -40, -70, -79, -89, -96, -94, -94, 
##     -91, -94, -88, -84, -80, -75, -65, -39, -21, -9, -5, 21, 
##     40, 47, 74, 132, 120, 88, 82, 59, 46, -13, -19, -21, -24, 
##     -48, -73, -78, -79, -79, -83, -86, -86, -87, -86, -86, -57, 
##     -30, -28, -19, 15, 33, 110, 112, 118, 147, 143, 145, 147, 
##     147, 146, 155, 156, 156, 159, 158, 155, 157, 151, 153, 157, 
##     155, 132, 112, 109, 88, 79, 54, 54, 30, 26, 32, 27, -20, 
##     -26, -44, -180, -124, -105, -85, -71, 11, 32, 70, 77, 124, 
##     132, 145, 159, 162, 164, 150, 134, 109, 43, 9, -40, -114, 
##     -104, -157, -160, -175, -192, -203, -208, -220, -227, -240, 
##     -243, -243, -239, -225, -226, -225, -233, -239, -239, -236, 
##     -232, -231, -231, -223, -219, -213, -175, -167, -59, -40, 
##     0, 30, 46, 89, 92, 115, 147, 154, 153, 159, 159, 170, 171, 
##     152, 138, 85, 28, 3, -25, -94, -141, -151, -145, -151, -162, 
##     -187, -203, -231, -249, -278, -275, -270, -253, -237, -227, 
##     -238, -236, -236, -237, -240, -244, -243, -243, -246, -244, 
##     -238, -236, -217, -188, -178, -136, -83, -36, -193, -202, 
##     -194, -191, -204, -249, -243, -235, -236, -236, -238, -237, 
##     -237, -236, -233, -237, -231, -232, -228, -209, -204, -192, 
##     -175, -148, -139, -131, -90, -77, -63, -46, -38, -23, -12, 
##     24, 69, 132, 136, 131, 124, 126, 134, 133, 127, 120, 133, 
##     128, 128, 112, 102, 95, 88, 2, -8, -44, -77, -91, -105, -113, 
##     -153, -186, -221, -273, -367, -337, -233, -228, -231, -238, 
##     -239, -239, -241, -249, -258, -278, -283, -287, -293, -302, 
##     -284, -269, -211, -134, -114, -90, -56, -34, -21, -2, 91, 
##     113, 148, 161, 163, 159, 155, 144, 137, 128, 122, 116, 104, 
##     92, 83, 75, 7, 2, -33, -48, -110, -131, -193, -216, -235, 
##     -341, -336, -328, -275, -239, -241, -246, -245, -254, -264, 
##     -273, -280, -294, -291, -252, -233, -196, -159, -134, -101, 
##     -50, -30, -22, 10, 77, 103, 113, 122, 130, 132, 131, 105, 
##     100, 119, 126, 104, 90, 77, 63, 54, -9, -26, -37, -65, -84, 
##     -85, -141, -141, -154, -184, -197, -203, -228, -276, -301, 
##     -338, -302, -277, -249, -236, -229, -229, -260, -273, -268, 
##     -239, -221, -196, -179, -99, -71, -29, 35, 49, 91, 95, 105, 
##     102, 89, 89, 85, 91, 109, 119, 107, 99, 78, 65, 28, 10, -22, 
##     -149, -171, -226, -238, -281, -306, -332, -323, -281, -250, 
##     -238, -227, -226, -230, -237, -240, -243, -278, -286, -298, 
##     -291, -281, -237, -218, -193, -167, -115, -93, -61, 0, 35, 
##     45, 78, 94, 107, 119, 121, 106, 98, 87, 92, 99, 101, 106, 
##     103, 95, 83, 41, 21, -4, -4, -21, -32, -37, -92, -146, -163, 
##     -185, -223, -232, -273, -283, -280, -244, -236, -237, -247, 
##     -255, -254, -256, -251, -255, -251, -253, -270, -255, -254, 
##     -245, -234, -186, -169, -157, -79, -65, -22, -4, 5, 28, 58, 
##     59, 69, 80, 90, 101, 113, 110, 106, 103, 112, 116, 137, 134, 
##     131, 100, 97, 53, 36, -7, -27, -44, -81, -95, -172, -188, 
##     -228, -239, -260, -312, -268, -255, -229, -245, -253, -251, 
##     -255, 138, 123, 117, 120, 123, 131, 118, 112, 93, 23, -33, 
##     -75, -105, -122, -138, -174, -188, -224, -242, -257, -170, 
##     -154, -127, -108, -83, -67, 63, 90, 84, 82, 40, -28, -48, 
##     -138, -205, -223, -212, -212, -215, -229, -249, -257, -272, 
##     -269, -269, -273, -272, -260, -264, -268, -268, -266, -263, 
##     -237, -236, -225, -213, -198, -74, -50, -39, 3, 18, 56, 67, 
##     75, 84, 97, 98, 100, 103, 103, 95, 90, 86, 64, 37, 4, -19, 
##     -19, -58, -94, -105, -157, -174, -180, -211, -233, -255, 
##     -262, -264, -269, -282, -281, -273, -251, -249, -268, -271, 
##     -267, -260, -254, -243, -239, -211, -202, -197, -187, -150, 
##     -106, -94, -69, -47, -25, 21, 74, 92, 106, 109, 97, 91, 91, 
##     80, 81, 75, 62, 32, 11, -98, -131, -141, -161, -156, -150, 
##     -147, -171, -194, -205, -239, -252, -252, -256, -241, -242, 
##     -242, -243, -239, -218, -196, -167, -143, -52, -33, -29, 
##     10, 38, 44, 66, 75, 92, 92, 70, 62, 42, 32, -11, -40, -60, 
##     -99, -115, -163, -200, -230, -268, -269, -276, -258, -259, 
##     -261, -264, -264, -276, -270, -258, -245, -186, -172, -156, 
##     -131, -94, -21, 2, 12, 77, 88, 107, 115, 101, 101, 96, 66, 
##     45, 6, -66, -80, -114, -182, -207, -244, -267, -258, -259, 
##     -264, -267, -268, -269, -272, -274, -272, -271, -267, -268, 
##     -271, -270, -269, -269, -265, -272, -271, -270, -267, -270, 
##     -264, -266, -262, -264, -264, -260, -254, -254, -240, -235, 
##     -223, -214, -197, -176, -147, -123, -89, -16, -6, 73, 66, 
##     63, 44, 33, 29, 20, 2, -2, -7, -6, -11, -12, -17, -8, 2, 
##     3, -5, -7, 13, 18, 28, 52, 58, 86, 102, 112, 114, 101, 103, 
##     106, 125, 133, 136, 130, 133, 118, 112, 107, 79, 72, 56, 
##     6, -18, -69, -107, -107, -104, -105, -101, -110, -108, -106, 
##     -106, -107, -35, -5, 11, 70, 78, 111, 117, 123, 95, 76, 45, 
##     42, 54, 42, -10, -26, -99, -74, -166, -251, -307, -297, -281, 
##     -233, -234, -244, -242, -259, -260, -252, -251, -245, -249, 
##     -250, -249, -250, -249, -251, -250, -249, -251, -249, -252, 
##     -250, -249, -248, -250, -250, -251, -252, -252, -251, -248, 
##     -253, -252, -254, -251, -249, -252, -250, -255, -254, -251, 
##     -249, -257, -254, -251, -251, -253, -257, -255, -252, -254, 
##     -256, -255, -256, -255, -254, -254, -257, -253, -256, -256, 
##     -257, -258, -257, -253, -256, -242, -235, -239, -230, -226, 
##     -222, -222, -201, -149, -138, 44, 39, 38, 39, 37, 36, 33, 
##     33, 34, 33, 21, 24, 0, 3, -2, 7, 15, 26, 32, 35, 37, -3, 
##     -23, -18, -10, -3, 5, 46, 33, 43, 35, 70, 79, 62, 95, 117, 
##     133, 143, 150, 155, 151, 143, 156, 137, 134, 109, 71, 94, 
##     107, 67, 40, 67, 38, 16, -20, -7, 10, 9, 11, 6, 0, -7, -11, 
##     -5, 7, 11, 21, 47, 58, 57, 66, 69, 69, 104, 132, 154, 174, 
##     171, 159, 163, 134, 103, 120, 84, 35, 54, 81, 49, 12, 4, 
##     20, -12, -33, -21, 4, 10, 9, -16, 0, 11, 16, 29, 31, 42, 
##     47, 54, 53, 61, 68, 90, 113, 138, 161, 151, 153, 146, 159, 
##     159, 139, 151, 102, 111, 27, 47, -21, -27, -112, -85, -38, 
##     -38, -20, -26, -35, -43, -27, -22, 30, 45, 47, 66, 77, 108, 
##     134, 145, 154, 152, 147, 145, 147, 150, 156, 135, 143, 87, 
##     113, 58, 24, 17, 22, 10, -16, -11, -9, -10, -12, -8, -8, 
##     -15, -15, -11, -11, 16, 27, 31, 38, 52, 46, 70, -8, -10, 
##     -15, -14, -8, 1, 7, 22, 28, 29, 29, 50, 48, 44, 46, 66, 62, 
##     65, 59, 106, 133, 141, 142, 145, 142, 142, 125, 137, 82, 
##     105, 111, 86, 18, 41, -27, -20, -38, -30, -18, -5, -7, 1, 
##     1, 24, 25, 46, 66, 83, 98, 112, 133, 134, 130, 134, 142, 
##     150, 120, 127, 135, 126, 86, 110, 103, 63, 23, -27, -8, -25, 
##     -38, -50, -34, -39, -40, -43, -52, -43, -38, -24, -11, 11, 
##     11, 24, 44, 93, 114, 132, 144, 159, 168, 168, 155, 148, 134, 
##     92, 111, 120, 102, 79, 53, 41, 38, 18, 19, 22, 1, 21, 6, 
##     13, 18, 18, 10, 5, 8, 24, 42, 53, 50, 68, 75, 64, 68, 129, 
##     158, 164, 167, 171, 162, 162, 154, 146, 152, 157, 64, 83, 
##     122, 140, 162, 146, 146, 153, 150, 112, 96, 94, 79, 8, 7, 
##     14, 21, 4, -12, -8, -7, -268, -260, -261, -263, -265, -264, 
##     -264, -271, -268, -267, -273, -270, -261, -249, -247, -245, 
##     -257, -249, -242, -193, -244, -257, -273, -277, -275, -277, 
##     -288, -291, -291, -289, -293, -293, -293, -299, -306, -309, 
##     -268, -260, -266, -261, -250, 104, 113, 103, 112, 110, 107, 
##     110, 110, 110, 110, 105, 102, 84, 81, 81, 74, 63, 39, 26, 
##     16, -18, -56, -78, -90, -140, -148, -180, -212, -216, -234, 
##     -245, -245, -261, -269, -273, -284, -284, -287, -290, -284, 
##     -282, -277, -287, -289, -171, -142, -110, -101, -95, -84, 
##     -74, -60, -51, -28, -25, -12, -5, -5, -3, 3, 0, 2, 6, 1, 
##     -41, -33, -24, -16, -12, -11, -5, -7, 15, 21, 32, 42, 54, 
##     64, 77, 108, 112, 138, 133, 143, 141, 137, 138, -19, -16, 
##     -3, -3, 0, -1, 7, 10, 11, 15, 26, 35, 49, 63, 82, 78, 88, 
##     94, 100, 100, 120, 125, 120, 132, 141, 147, 151, 143, 152, 
##     156, 149, 150, 148, 146, 143, 139, 141, 138, 87, 91, 70, 
##     53, 20, 9, 5, -21, -17, -30, 106, 106, 131, 134, 155, 153, 
##     152, 151, 154, 149, 150, 144, 144, 142, 127, 102, 110, 88, 
##     75, 72, 53, 48, 31, 11, -20, -51, -70, -74, -92, -92, -86, 
##     -85, -98, -94, -91, -90, -95, -86, -87, -88, -85, -61, -24, 
##     -9, 3, 18, 29, 35, 51, 56, 50, 69, 77, 99, 107, 118, 124, 
##     134, 150, 149, 155, 142, 140, 149, 149, 153, 150, 147, 142, 
##     119, 116, 125, 119, 109, 68, 61, 26, 7, -24, -60, -72, -75, 
##     -96, -94, -112, -115, -116, -119, -118, -122, -116, -116, 
##     -103, -95, -90, -70, -80, -68, -64, -52, -4, 2, 57, 65, 73, 
##     87, 84, 115, 118, 146, 144, 150, 154, 156, 152, 141, 136, 
##     136, 114, 109, 101, 99, 73, 29, 12, -17, -41, -36, -44, -56, 
##     -65, -62, -66, -67, -66, -68, -64, -60, -57, -44, -44, -34, 
##     -24, -19, -19, -18, -19, 0, 24, 79, 64, 27, 31, 0, 6, -3, 
##     -53, -43, -45, -44, -74, -76, -74, -81, -81, 30, 50, 60, 
##     85, 90, 120, 134, 132, 134, 127, 133, 149, 144, 149, 158, 
##     151, 153, 142, 147, 130, 122, 124, 117, 110, 110, 101, -67, 
##     -59, -66, -74, -91, -92, -86, -83, -69, -67, -66, -62, -37, 
##     -28, -9, 2, 26, 43, 57, 78, 135, 127, 116, 119, 100, 104, 
##     62, 73, 64, 53, 50, 25, 17, 29, 13, 2, 9, -21, -13, -17, 
##     -13, -19, -20, 3, -4, -4, -4, -7, -5, -6, -6, -8, -6, -4, 
##     -13, -12, -14, -21, -24, -24, -35, -33, -28, -42, -39, -49, 
##     -54, -62, -52, -48, -44, -303, -292, -290, -285, -280, -274, 
##     -289, -293, -294, -285, -291, -289, -268, -264, -235, -209, 
##     -192, -172, -232, -210, -195, -132, -41, 3, 7, 25, 33, 44, 
##     51, 64, 91, 102, 95, 99, 108, 76, 74, 71, 69, 65, 53, 46, 
##     37, 36, 10, -24, -30, -70, -83, -110, -156, -171, -167, -164, 
##     -191, -203, -197, -200, -230, -167, -142, -123, -91, -48, 
##     -27, 2, 10, 19, 21, 21, 48, 71, 78, 82, 86, 88, 86, 92, 116, 
##     121, 113, 111, 110, 102, 20, 23, 5, -21, -77, -130, -138, 
##     -196, -208, -221, -226, -253, -262, -268, -270, -260, -269, 
##     -275, -277, -276, 82, 91, 99, 106, 103, 109, 106, 100, 97, 
##     94, 98, 97, 92, 85, 77, 69, 58, 55, 46, 33, 17, 7, -13, -25, 
##     -52, -113, -123, -188, -198, -214, -215, -243, -272, -280, 
##     -277, -282, -287, -283, -284, -288, -287, -285, -283, -264, 
##     -257, -247, -240, -237, -207, -160, -146, -131, -94, -69, 
##     -53, -48, -37, -20, -5, 43, 52, 49, 66, 93, 109, 110, 110, 
##     108, 108, 106, 105, 104, 100, 86, 71, 45, 43, -3, -19, -35, 
##     -49, -60, -80, -87, -90, -101, -117, -157, -161, -200, -227, 
##     -230, -227, -228, -83, -79, -73, -64, -46, -39, -16, -4, 
##     37, 58, 75, 77, 82, 80, 78, 83, 87, 85, 86, 87, 83, 91, 72, 
##     69, 61, 44, 45, 26, 18, -5, -9, -27, -45, -290, -286, -269, 
##     -253, -244, -246, -210, -181, -173, -173, -164, -155, -95, 
##     -70, -56, -47, -26, -2, 30, 37, 39, 48, 53, 74, 80, 79, 90, 
##     88, 87, 86, 93, 108, 119, 129, 130, 146, 162, 157, 160, 150, 
##     149, 148, 154, 165, 148, 144, 140, 125, 71, 77, 108, 126, 
##     120, 119, 128, 132, 131, 140, 161, 163, 157, 163, 149, 152, 
##     150, 155, 158, 152, 147, 147, 136, 127, 127, 114, 115, 108, 
##     99, 101, 70, 65, -23, -39, -64, -64, -59, -55, -48, -41, 
##     -39, -35, -36, -12, 14, 50, 71, -192, -233, -235, -235, -259, 
##     -277, -291, -291, -290, -291, -288, -290, -293, -290, -287, 
##     -283, -284, -293, -295, -236, -221, -220, -211, -194, -158, 
##     -141, -83, -69, -54, -79, -106, -103, -112, -160, -161, -200, 
##     -225, -242, -253, -288, -277, -290, -299, -297, -290, -290, 
##     -286, -225, -256, -264, -269, -267, -275, -277, -275, -260, 
##     -260, -250, -240, -235, -236, -228, -208, -194, -184, -131, 
##     -117, -109, -93, -279, -281, -281, -280, -279, -276, -269, 
##     -260, -244, -236, -226, -205, -184, -162, -138, -85, -69, 
##     -57, -34, -16, 7, 16, 153, 134, 136, 109, 108, 91, 92, 52, 
##     61, -4, 18, -42, -47, -16, -7, -14, -22, -16, -2, 11, 6, 
##     6, 23, 48, 59, 72, 119, 161, 156, 162, 152, 145, 144, 125, 
##     125, 128, 79, 101, 84, 32, 52, 4, 31, -21, -10, -11, 9, 7, 
##     3, 8, 9, 13, 9, 6, 8, 11, 8, 5, 11, 8, 5, 10, 8, 6, 8, -116, 
##     -75, -70, -56, -27, 23, 24, -99, 14, 49, 69, 71, 79, 45, 
##     48, 43, 41, 46, 35, 43, 44, 40, 41, 42, 43, 42, 38, 40, -246, 
##     -215, -203, -188, -27, 28, 43, 57, 105, 113, 112, 116, 121, 
##     132, 132, 128, 108, 96, 46, 81, 64, 53, -76, -99, -136, -152, 
##     -167, -194, -259, -294, -312, -321, -295, -266, -233, -224, 
##     -219, -223, -232, -239, -253, -255, -262, -260, -254, -100, 
##     -90, -39, -8, 7, 40, 69, 77, 84, 124, 125, 131, 145, 152, 
##     153, 147, 138, 131, 131, 87, 88, 83, 19, 19, -21, -49, -66, 
##     -79, -101, -108, -112, -176, -180, -198, -260, -257, -250, 
##     -250, -249, -230, -230, -236, -233, -237, -240, -236, -237, 
##     -240, -242, -240, -224, -217, -208, -181, -167, -131, -114, 
##     45, 53, 85, 113, 159, 163, 163, 165, 164, 165, 162, 146, 
##     114, 100, 103, 98, 56, 37, -8, -38, -28, -102, -100, -119, 
##     -147, -155, 431, 430, 426, 418, 418, 430, 421, 420, 402, 
##     408, 402, 380, 372, 333, 322, 320, 283, 289, 299, 293, 270, 
##     270, 254, 259, 254, 250, 316, 315, 274, 224, 192, 205, 212, 
##     221, 219, 213, 208, 207, 227, 252, 274, 289, 307, 329, 338, 
##     345, 353, 362, 374, 378, 335, 306, 296, 293, 286, 240, 233, 
##     242, 261, 244, 239, 235, 235, 349, 354, 355, 361, 368, 378, 
##     394, 397, 406, 410, 411, 401, 407, 420, 425, 418, 413, 417, 
##     393, 374, 363, 360, 354, 246, 123, 118, 111, 95, 90, 74, 
##     57, 55, 43, 24, 11, 13, -35, -33, -41, -70, -78, -76, -77, 
##     -47, -49, -65, -61, -45, -35, -5, 3, 25, 65, 75, 1, 26, 49, 
##     60, 66, 77, 84, 96, 111, 117, 123, 122, 119, 120, 133, 141, 
##     130, 134, 123, 119, 110, 96, 83, 84, 156, 158, 163, 165, 
##     143, 127, 52, 5, -2, -24, -49, -81, -175, -189, -203, -223, 
##     -225, -229, -235, -227, -224, -241, -239, -240, -244, -246, 
##     -259, -264, -271, -274, -277, -281, -283, -282, -281, -281, 
##     -276, -277, -275, -276, -277, -222, -195, -254, 74, 74, 74, 
##     80, 87, 68, 10, -34, -40, -78, -128, -125, -147, -187, -226, 
##     -242, -308, -323, -318, -295, -296, -298, -298, -289, -289, 
##     -264, -268, -265, -274, -273, -261, -246, -241, -227, -212, 
##     -191, -150, -118, -88, -27, 24, 42, 68, 68, 66, 70, 69, 70, 
##     71, 71, 70, 79, 90, 93, 93, 94, 93, 86, 98, 77, 64, 55, 31, 
##     35, -26, -50, -73, -89, -175, -188, -246, -268, -284, -281, 
##     -275, -278, -269, -264, -273, -277, -271, -264, -259, -269, 
##     -263, -242, -232, -226, -230, -222, -211, -173, -156, -140, 
##     -125, -69, -36, -20, -13, 0, 18, 25, 37, 46, 35, 35, 33, 
##     23, 28, 33, 37, 39, 48, 50, 51, 57, 57, 39, 54, 40, 32, 47, 
##     41, 22, 5, -25, -127, -116, -195, -201, -234, -265, -279, 
##     -286, -286, -277, -280, -279, -285, 18, 26, 29, 28, 42, 44, 
##     53, 52, 46, 55, 56, 43, -88, -91, -89, -82, -69, -60, -49, 
##     -41, -26, -16, 43, 56, 113, 116, 135, 139, 142, 122, 112, 
##     109, 116, 115, 121, 129, 122, 121, 124, 124, 124, 89, 69, 
##     52, 34, 12, -19, -29, -25, -60, -72, -74, -116, -112, -113, 
##     -84, -94, -94, -89, -74, -67, -55, -45, -34, -17, 14, 25, 
##     28, 43, 57, 69, 122, 128, 132, 108, 103, 101, 104, 110, 135, 
##     131, 130, 129, 129, 126, 109, 96, 80, 87, 75, 65, 62, 41, 
##     30, 13, -18, -37, -43, -68, -76, -79, -81, -75, -53, -60, 
##     -67, -74, -59, -20, 27, 36, 46, 50, 60, 66, 70, 96, 115, 
##     125, 147, 152, 158, 134, 118, 108, 102, 97, 95, 102, 123, 
##     128, 128, 131, 130, 112, 99, 73, 48, 37, 36, 18, 1, -18, 
##     -35, -44, -77, -153, -144, -128, -105, -124, -131, -131, 
##     -132, -132, -129, -120, -94, -54, -34, 42, 49, 56, 68, 79, 
##     88, 99, 114, 134, 143, 129, 119, 112, 113, 112, 115, 132, 
##     136, 127, 127, 119, 115, -255, -257, -254, -255, -261, -259, 
##     -257, -260, -258, -257, -255, -255, -249, -246, -249, -253, 
##     -250, -247, -240, -238, -245, -226, -184, -172, -158, -152, 
##     -144, -136, -19, 49, 57, 64, 68, 64, 50, 48, 49, 31, -3, 
##     -12, -63, -85, -93, -85, -74, -65, -40, -35, -30, -29, -31, 
##     -17, -12, 31, 62, 63, 74, 72, 59, 3, -5, -15, -31, -59, -84, 
##     -92, -185, -195, -218, -254, -251, -220, -210, -211, -215, 
##     -225, -234, -239, -229, -206, -188, -115, -70, -58, -28, 
##     -10, -2, 27, 37, 1, 1, -14, -27, -85, -99, -100, -114, -133, 
##     -129, -120, -126, -110, -113, -115, -113, -108, -106, -106, 
##     -110, -110, -111, -110, -101, -80, -32, -17, 0, 17, 32, 46, 
##     50, 60, 67, 66, 67, 69, 49, 30, -68, -112, -125, -112, -87, 
##     -57, -38, -23, -6, 15, 29, 37, 64, 100, 48, 40, 12, -39, 
##     -173, -210, -225, -228, -194, -182, -171, -163, -186, -187, 
##     -187, -186, -181, -101, -35, 4, 23, 30, 47, 44, 2, -17, -29, 
##     -107, -94, -86, -58, -32, -22, 16, 24, 43, 60, 63, 77, 78, 
##     71, 74, 67, 44, 26, -10, -24, -146, -177, -176, -186, -200, 
##     -191, -188, -184, -187, -191, -193, -145, -118, -99, -85, 
##     -73, -49, -35, -19, 23, 38, 42, 40, 43, 44, 41, 40, 38, 40, 
##     41, 44, 53, 54, 56, 64, 71, 77, 77, 78, 91, 84, 79, 86, 74, 
##     67, 60, 2, -23, -40, -79, -113, -133, -146, -163, -186, -186, 
##     -186, -183, -171, -168, -177, -181, -181, -163, -152, -138, 
##     -123, -121, -116, -98, -80, -23, -15, 7, 71, 79, 76, 78, 
##     80, 74, 68, 50, 52, 55, 79, 91, 88, 86, 95, 96, 87, 83, 81, 
##     49, 21, 11, -15, -20, -63, -107, -121, -148, -208, -213, 
##     -265, -305, -304, -300, -284, -274, -258, -271, -282, -287, 
##     -291, -272, -260, -159, -36, 20, 60, 78, 91, 98, 103, 85, 
##     83, 76, 69, 61, 56, 75, 85, 93, 92, 88, 81, 84, 77, 42, 37, 
##     19, -4, -46, -52, -108, -172, -200, -296, 274, 258, 231, 
##     182, 184, 183, 171, 174, 155, 69, 37, 28, 18, 18, 14, 9, 
##     2, -8, -24, -36, -39, -5, -3, 16, 37, 17, 1, 19, 90, 130, 
##     177, 159, 150, 147, 126, 126, 176, 192, 363, 372, 358, 309, 
##     258, 216, 218, 207, 61, 9, 22, 2, -28, -41, -44, -10, 9, 
##     13, 26, 14, 18, 15, 10, 10, 9, 6, 9, 19, 17, 22, 72, 91, 
##     162, 189, 231, 240, 225, 210, 198, 220, 221, 279, 328, 341, 
##     372, 343, 353, 291, 270, 215, 191, 203, 121, 101, 124, 80, 
##     53, 31, 24, -5, -15, -22, -15, 34, 34, 9, 5, 6, 8, 3, 15, 
##     30, 40, 44, 78, 112, 142, 161, 168, 171, 178, 262, 259, 256, 
##     192, 237, 354, 381, 407, 410, 394, -55, -70, -76, -81, -98, 
##     -95, -91, -94, -94, -93, -84, -78, -65, -62, -48, -28, -19, 
##     -6, 9, 22, 36, 49, 59, 68, 79, 88, 117, 120, 152, 154, 160, 
##     162, 161, 162, 140, 159, 160, 161, 138, 113, 119, 111, 106, 
##     70, 77, 62, -5, 6, -4, -10, -28, -29, -38, -51, -68, -69, 
##     -83, -85, -86, -70, -73, -73, -85, -73, -64, -55, -49, -19, 
##     -18, 30, 48, 62, 68, 69, 102, 128, 143, 151, 159, 167, 167, 
##     160, 163, 170, 174, 139, 144, 150, 155, 163, 159, 130, 132, 
##     130, 119, 109, 108, 98, 84, 81, 67, 66, 46, 34, 20, 15, 12, 
##     -28, -46, -43, -61, -67, -60, -61, -58, -52, -41, -24, -9, 
##     6, 18, 29, 49, 60, 68, 74, 82, 93, 121, 123, 137, 132, 151, 
##     160, 171, 163, 162, 153, 151, 144, 145, 152, 154, 157, 156, 
##     155, 154, 135, 141, 142, 126, 106, 92, 89, 69, 76, 31, 26, 
##     11, 0, -1, -9, -15, -18, -22, -22, -30, -41, -42, -65, -77, 
##     -81, -78, -80, -68, -72, -72, -66, -58, -52, -32, -17, 1, 
##     9, 22, 30, 45, 53, 57, 88, 99, 96, 117, 116, 138, 138, 140, 
##     141, 151, 158, 163, 168, 165, 169, 169, 169, 160, 152, 141, 
##     140, 137, 147, 165, 159, 155, 154, 156, 155, 162, 157, 155, 
##     149, 136, 128, 113, 118, 86, 86, 62, 71, 33, 17, -38, -52, 
##     -66, -76, -98, -116, -143, -151, -184, -190, -204, -220, 
##     -223, -249, -257, -263, -270, -288, -291, -274, -262, -255, 
##     -280, -297, -303, -294, -287, -290, -305, -314, -301, -295, 
##     -294, -291, -292, -291, -293, -297, -294, -305, -305, -307, 
##     -293, -296, -308, -301, -278, -273, -271, -262, -247, -231, 
##     -211, -186, -166, -132, -86, -20, -9, 24, 25, 56, 90, 101, 
##     108, 114, 145, 152, 132, 138, 128, 130, 140, 149, 136, 58, 
##     60, 39, 25, 0, -16, -25, -49, -81, -82, -80, -145, -171, 
##     -196, -212, -224, -247, -296, -301, -301, -307, -319, -314, 
##     -306, -308, -312, -319, -317, -308, -307, -307, -300, -304, 
##     -287, -274, -262, -264, -233, -192, -189, -155, -102, -79, 
##     -58, -36, -11, 33, 76, 81, 83, 97, 109, 127, 117, 118, 126, 
##     136, 136, 155, 161, 167, 168, 175, 175, 174, 173, 167, 159, 
##     152, 151, 143, 137, 132, 89, 82, 70, 62, 53, 44, 35, -32, 
##     -50, -56, -77, -121, -121, -130, -151, -172, -177, -232, 
##     -240, -267, -273, -275, -283, -285, -278, -281, -282, -279, 
##     -283, -267, -256, -242, -234, -165, -144, -117, -99, -46, 
##     -25, 9, 31, 74, 102, 122, 119, 123, 136, 141, 147, 142, 136, 
##     132, 123, 127, 142, 143, 146, 146, 133, 121, 116, 114, 111, 
##     94, 72, 73, 41, 34, 28, 1, -20, -26, -46, -68, -73, -100, 
##     -166, -141, -134, -103, -34, -19, -14, -10, 6, 27, 37, 45, 
##     54, 113, 131, 155, 157, 173, 159, 161, 163, 150, 144, 143, 
##     149, 155, 154, 145, 146, 144, 143, 142, 140, 133, 126, 122, 
##     114, 76, 72, 45, 21, 31, 14, -17, -36, -104, -128, -182, 
##     -237, -250, -262, -262, -278, -273, -276, -282, -274, -265, 
##     -272, -233, -218, -197, -193, -188, -181, -175, -99, -38, 
##     0, 30, 44, 56, 60, 96, 119, 151, 157, 156, 152, 161, 144, 
##     142, 145, 146, 147, 144, 140, 130, 116, 104, 98, 12, 0, -13, 
##     -29, -68, -71, -102, -133, -224, -224, -221, -256, -255, 
##     -250, -256, -254, -258, -275, -261, -258, -257, -262, -263, 
##     -260, -249, -250, -256, -209, -203, -165, -152, -141, -106, 
##     -79, -68, -55, 18, 59, 120, 119, 127, 126, 123, 132, 172, 
##     183, 179, 148, 146, 142, 141, 147, 150, 147, 145, 143, 142, 
##     136, 116, 110, 96, 79, 85, 78, 45, 32, 20, 0, -41, -42, -62, 
##     -152, -170, -180, -229, -238, -292, -293, -265, -258, -260, 
##     -263, -270, -260, -261, -257, -239, -226, -214, -213, -180, 
##     -148, -92, -67, -53, -46, 39, 54, 109, 117, 118, 123, 132, 
##     139, 162, 155, 152, 115, 141, 148, 154, 154, 156, 139, 142, 
##     112, 103, 98, 88, 66, 57, 29, -7, -26, -48, -49, -50, -101, 
##     -163, -172, -187, -199, -235, -266, -259, -266, -273, -277, 
##     -298, -303, -287, -283, -274, -282, -305, -328, -336, -315, 
##     -289, -268, -252, -235, -225, -228, -267, -273, -285, -289, 
##     -280, -266, -232, -137, -94, -70, -29, 5, 27, 57, 73, 94, 
##     105, 99, 97, 91, 100, 105, 114, 124, 133, 111, 113, 81, 57, 
##     29, 19, -2, -24, -35, -49, -69, -84, -198, -220, -232, -266, 
##     -284, -310, -309, -235, -238, -242, -246, -255, -270, -275, 
##     -242, -226, -211, -190, -154, -88, 7, 18, 28, 55, 70, 86, 
##     119, 116, 107, 89, 91, 100, 115, 121, 124, 125, 122, 111, 
##     71, 58, -238, -239, -241, -236, -235, -234, -236, -235, -235, 
##     -234, -232, -232, -233, -235, -235, -238, -238, -238, -236, 
##     -237, -238, -236, -238, -234, -212, -196, -192, -190, -184, 
##     -172, -148, -112, -97, -75, -43, -10, 18, 62, 63, 70, 71, 
##     96, 89, 108, 110, 110, 118, 122, 134, 148, 152, 160, 171, 
##     172, 155, 143, 136, 109, 106, 105, 110, 118, 121, 117, 114, 
##     116, 118, 121, 123, 119, 135, 139, 129, 128, 95, 83, 82, 
##     97, 119, 137, 153, 157, 155, 152, 156, 156, 150, 108, 107, 
##     86, 74, 55, 40, 37, 31, 31, 37, 42, 44, 49, 52, 73, 88, 93, 
##     101, 103, 109, 101, 98, 95, 98, 75, 74, 76, 74, 76, 112, 
##     131, 142, 142, 148, 151, 152, 126, 104, 79, 70, 71, 58, 38, 
##     33, 41, 77, 80, 76, 80, 79, 90, 90, 94, 103, 100, 112, 106, 
##     109, 106, 100, 97, 96, 101, 104, 124, 150, 154, 149, 151, 
##     154, 147, 131, 114, 102, 83, 68, 61, 50, 28, 32, 31, 37, 
##     43, 46, 41, 42, 45, 65, 69, 76, 92, 98, 111, 109, 114, 123, 
##     113, 85, 98, 111, -17, 1, 35, 46, 65, 81, 91, 96, 97, 96, 
##     90, 84, 75, 81, 86, 104, 135, 138, 149, 152, 149, 139, 137, 
##     135, 74, 64, 66, 41, 44, 28, 7, -21, -40, -42, -49, -50, 
##     -43, -8, -5, -1, 5, 19, 27, 37, 39, 46, 60, 74, 80, 86, 92, 
##     96, 99, 104, 104, 104, 96, 92, 92, 112, 137, 137, 149, 116, 
##     104, 72, 39, 27, 27, 11, 16, 21, 29, 39, 50, 58, 48, 34, 
##     35, 40, 43, 48, 57, 70, 72, 97, 103, 109, 111, 114, 108, 
##     104, 99, 96, 99, 103, 105, 110, 118, 130, 139, 142, 138, 
##     144, 133, 121, 114, 102, 81, 67, 70, 54, 46, 35, 22, 6, 6, 
##     21, 34, 43, 34, 37, 51, 59, 95, 108, 108, 106, 108, 112, 
##     114, 111, -17, -15, -6, 5, 18, 45, 61, 77, 89, 94, 101, 112, 
##     116, 113, 108, 103, 102, 99, 104, 116, 123, 128, -3, -4, 
##     -3, 2, 6, 3, 2, 7, 7, 4, 2, 3, 4, 5, 2, 0, 1, 4, 7, 1, 6, 
##     7, 5, 5, 3, 3, 1, -1, 0, 3, 13, 6, -3, -4, 2, 6, 7, 1, 1, 
##     -1, -2, -1, -1, 0, 2, -1, 1, -1, 2, 4, 3, 2, 2, 2, 2, 2, 
##     2, 1, -3, -7, -8, -8, -10, -11, -23, -27, -29, -35, -30, 
##     -30, -35, -36, -35, -21, -17, -18, -15, -14, -7, 2, 4, 8, 
##     9, 6, 2, -5, -5, -3, 4, 2, 0, -4, -5, -4, -4, -7, -5, -4, 
##     -6, -9, -13, -15, -19, -21, -23, -20, -22, -24, -25, -25, 
##     -18, -18, -19, -21, -22, -19, -19, -18, -18, -18, -20, -22, 
##     -17, -22, -31, -29, -24, -25, -30, -31, -28, -22, -20, -19, 
##     -21, -23, -34, -32, -26, -27, -29, -24, -27, -21, -18, -17, 
##     -23, -29, -30, -23, -24, -24, -25, -24, -23, -21, -21, -22, 
##     -24, -26, -21, -25, -25, -25, -27, -24, -18, -18, -21, -19, 
##     -16, -16, -18, -20, -20, -23, -19, -19, -25, -20, -26, -26, 
##     -22, -25, -31, -58, -59, -82, -119, -146, -150, -143, -166, 
##     -186, -231, -263, -258, -265, -265, -260, -259, -259, -257, 
##     -251, -257, -262, -264, -258, -261, -261, -265, -260, -257, 
##     -255, -256, -256, -256, -246, -240, -226, -240, -267, -280, 
##     -253, -231, -214, -225, -242, -234, -240, -208, -162, -138, 
##     -140, -138, -93, -85, -41, -15, 50, 80, 92, 99, 109, 124, 
##     103, 66, 64, 65, 26, 10, -85, -158, -190, -248, -292, -311, 
##     -341, -404, -332, -266, -245, -195, -215, -309, -318, -316, 
##     -329, -323, -316, -282, -274, -174, -144, -71, -59, -7, 22, 
##     53, 68, 124, 112, 110, 92, 88, 56, -25, -87, -112, -157, 
##     -213, -280, -371, -327, -364, -377, -363, -197, -245, -309, 
##     -315, -320, -329, -328, -328, -289, -243, -293, -293, -293, 
##     -292, -298, -292, -249, -211, -117, -81, -48, -30, 39, 52, 
##     129, 170, 172, 158, 93, 12, -8, -88, -49, -200, -128, -297, 
##     -285, -328, -209, -191, -192, -208, -230, -246, -271, -286, 
##     -305, -285, -251, -223, -203, -280, -264, -251, -197, -159, 
##     -134, -81, -49, 9, 79, 185, -294, -289, -252, -124, -110, 
##     -98, -81, -62, -49, -19, 45, 108, 136, 162, 178, 192, 169, 
##     160, 146, 141, 120, 106, 29, 14, 14, -81, -208, -209, -279, 
##     -296, -221, -229, -246, -304, -271, -247, -219, -197, -107, 
##     -84, -35, 55, 56, 85, -81, -76, -59, -61, -66, -72, -69, 
##     -64, -69, -63, -47, -36, -36, 18, 59, 76, 92, 116, 131, 148, 
##     142, 138, 146, 156, 157, 150, 155, 149, 144, 147, 149, 135, 
##     138, 127, 128, 119, 108, 109, 92, 84, 85, 57, 48, 26, 19, 
##     23, 5, -24, -15, -30, -31, -43, -51, -61, -69, -75, -81, 
##     -82, -80, -80, -84, -83, -88, -92, -94, -94, -93, -92, -70, 
##     -64, -56, -62, -27, -19, -13, -6, 17, 24, 85, 88, 92, 99, 
##     139, 145, 147, 153, 157, 152, 151, 132, 121, 111, 104, 91, 
##     96, 74, 57, 64, 72, 58, 52, 16, 24, 28, -13, -13, -18, -19, 
##     -18, -54, -50, -46, -56, -63, -58, -56, -54, -48, -47, -63, 
##     -58, -50, -41, -38, -47, -2, 17, 2, 41, 107, 110, 128, 134, 
##     145, 141, 148, 150, 157, 152, 146, 145, 142, 142, 135, 128, 
##     133, 120, 124, 97, 67, 43, 2, 15, -23, -30, -48, -55, -66, 
##     -68, -81, -102, -102, -100, -99, -98, -97, -103, -88, -77, 
##     -72, -68, -64, -56, -45, -38, -26, -15, -18, 30, 42, 48, 
##     55, 56, 76, 79, 98, 117, 127, 138, 133, 137, 141, 143, 153, 
##     163, 166, 170, 166, 160, 162, 160, 161, 161, 161, 159, 157, 
##     130, 125, 117, 92, 80, 66, 60, 52, 15, -40, -28, -75, -75, 
##     -161, -162, -157, -150, -173, -200, -203, -207, -225, -230, 
##     -238, -259, -264, -266, -269, -273, -275, -277, -278, -278, 
##     -279, -278, -278, -270, -270, -266, -265, -259, -270, -269, 
##     -266, -264, -263, -257, -262, -262, -260, -262, -266, -270, 
##     -272, -262, -269, -281, -278, -274, -276, -280, -281, -280, 
##     -281, -285, -288, -291, -293, -294, -296, -297, -292, -295, 
##     -293, -293, -289, -276, -270, -278, -270, -266, -274, -252, 
##     -232, -207, -192, -173, -130, -87, -79, -59, -28, 39, 43, 
##     41, 38, 30, 26, 19, 6, 6, 12, 7, 7, 8, 7, 19, 24, 30, 47, 
##     52, 57, 66, 67, 90, 92, 90, 90, 90, 76, 76, -254, -257, -248, 
##     -238, -230, -181, -125, -109, -83, -70, -59, -29, 24, 26, 
##     36, 44, 52, 49, 52, 54, 52, 50, 44, 45, 33, 36, 32, 35, 48, 
##     64, 64, 69, 70, 58, 65, 67, 33, 24, 10, -20, -25, -38, -140, 
##     -160, -166, -167, -181, -204, -229, -232, -268, -306, -326, 
##     -309, -273, -277, -266, -269, -268, -261, -275, -254, -255, 
##     -249, -225, -221, -174, -165, -156, -107, -90, -28, -17, 
##     0, 10, 36, 47, 60, 73, 82, 88, 89, 80, 82, 75, 72, 71, 74, 
##     82, 86, 87, 91, 100, 102, 101, -210, -248, -247, -282, -284, 
##     -263, -269, -271, -255, -253, -254, -259, -270, -276, -196, 
##     -123, -109, 26, 58, 73, 76, 72, 99, 97, 89, 99, 79, 62, 73, 
##     58, 38, 42, 47, 25, 9, -57, -113, -163, -184, -188, -10, 
##     -27, -33, -49, -88, -142, -155, -168, -197, -207, -217, -296, 
##     -333, -321, -285, -254, -231, -249, -270, -279, -279, -281, 
##     -275, -277, -260, -244, -251, -283, -285, -285, -283, -285, 
##     -284, -286, -288, -298, -290, -291, -282, -280, -279, -278, 
##     -277, -286, -283, -284, -278, 8, 26, 35, 64, 87, 106, 126, 
##     160, 196, 248, 300, 334, 326, 320, 329, 334, 378, 371, 374, 
##     381, 379, 344, 254, 197, 122, 104, 66, -15, -11, -12, -15, 
##     -9, 22, 14, 280, 158, 150, 67, 56, 7, 7, -10, 5, 15, 23, 
##     29, 32, 29, 28, 13, 15, 15, 7, -10, -17, 25, 32, 45, 65, 
##     124, 119, 159, 239, 256, 261, 282, 246, 274, 316, 334, 347, 
##     375, 368, 335, 315, 288, 238, 200, 176, 109, 100, 61, 51, 
##     -3, -22, -32, -54, -66, -63, 9, 17, 6, 9, 6, -4, -9, -7, 
##     -12, -42, -40, -10, 31, 52, 65, 79, 91, 105, 158, 177, 193, 
##     266, 283, 298, 304, 320, 341, 353, 342, 356, 372, 374, 369, 
##     376, 368, 357, 335, 295, 226, 165, 117, 107, 102, 71, 2, 
##     -47, 313, 282, 236, 212, 192, 134, 87, 79, 47, 31, 33, 13, 
##     -22, -62, -88, -109, -118, -62, 13, 3, 9, 15, 401, 392, 390, 
##     359, 347, 330, 311, 281, 175, 157, 63, -24, -65, -70, -44, 
##     -33, -43, -50, -84, -83, -58, -27, -1, 13, 20, 22, 28, 26, 
##     3, -11, 19, 34, 93, 103, 144, 157, 225, 251, 272, 319, 337, 
##     344, 385, 398, 410, 407, 1, 6, 2, 6, -3, -3, 1, -1, 3, 2, 
##     2, -14, -14, -8, -1, 1, -4, -3, 3, 14, 17, 11, 19, 21, 25, 
##     27, 31, 34, 35, 30, 29, 34, 32, 35, 37, 30, 27, 20, 12, 17, 
##     113, 135, 121, 95, 86, 69, 51, -15, -13, -116, -72, -98, 
##     -218, -185, -301, -314, -314, -322, -264, -242, -219, -198, 
##     -206, -227, -256, -272, -288, -296, -278, -248, -206, -126, 
##     -95, -75, -62, -64, -14, 13, 108, 135, 129, 132, 117, 118, 
##     96, 36, -16, -33, -70, -124, -111, -118, -122, -151, -210, 
##     -260, -273, -284, -276, -275, -271, -268, -285, -286, -290, 
##     -299, -307, -226, -210, -210, -200, 181, 182, 152, 132, 112, 
##     101, -9, -30, -80, -114, -118, -135, -169, -186, -197, -251, 
##     -355, -337, -215, -197, -191, -196, -241, -288, -291, -292, 
##     -259, -240, -228, -229, -209, -192, -130, 1, 100, 173, 186, 
##     186, 164, 157, 127, 80, 86, -11, -46, -16, -132, -65, -103, 
##     -164, -183, -244, -218, -167, -53, -27, 24, 85, 85, 100, 
##     140, 136, 131, 122, 105, 78, 48, 46, 28, -22, -30, -65, -145, 
##     -225, -312, -383, -341, 1, 6, 6, 5, 8, 3, 2, 4, 5, 7, 0, 
##     3, 1, 5, 6, 7, 4, 4, 5, 4, 1, 0, 1, 0, 5, 0, -4, 0, -1, 108, 
##     139, 154, 155, 150, 149, 113, 102, 89, 66, 48, 12, 0, -15, 
##     -23, -29, -54, -75, -77, -29, -10, -8, 123, 137, 146, 148, 
##     93, 87, 93, 29, -44, -59, -66, -93, -121, -118, -114, -57, 
##     -52, -53, -58, -60, -58, -56, -52, -46, 33, 19, 9, -27, -57, 
##     -76, -98, -102, -139, -167, -184, -240, -265, -271, -268, 
##     -263, -261, -243, -231, -237, -231, -236, -237, -244, -245, 
##     -243, 407, 411, 404, 350, 329, 86, 7, -33, -20, -9, 21, 28, 
##     25, 12, -3, -2, 12, 15, 19, 15, 9, 0, 4, -2, 7, 3, 4, 8, 
##     -1, -1, 18, 21, -15, -15, -17, -26, -34, -45, -18, 12, 28, 
##     29, 51, 221, 227, 235, 250, 261, 268, 310, 339, 383, 384, 
##     -50, -27, -2, 32, 55, 15, 7, -5, -17, -9, 12, 41, 84, 177, 
##     213, 223, 296, 315, 343, 395, 392, 355, 10, 13, 12, 10, 3, 
##     1, 8, 19, 48, 59, 86, 131, 149, 198, 218, 264, 276, 288, 
##     305, 298, 320, 350, 375, 383, 386, 378, 358, 343, 268, 235, 
##     227, 227, 149, 166, 134, 103, 56, 26, 19, -7, -22, -22, -27, 
##     -12, -6, 25, 19, 16, 12, 14, 78, 52, -24, -66, -86, -93, 
##     -78, -67, -32, -19, 28, 49, 68, 61, 51, 27, 20, -11, -32, 
##     -49, -63, -101, -112, -113, -29, -43, -52, -71, -78, -56, 
##     -61, -70, -74, -57, -54, -54, -55, -57, -62, -60, -61, -61, 
##     -54, -18, -9, 49, 72, 81, 99, 98, 105, 56, 76, 56, 23, -117, 
##     -115, -108, -70, -58, -43, -30, 0, 7, 14, 44, 59, 80, 95, 
##     86, 83, 55, 122, 94, 93, 83, 55, 50, 47, 15, 4, -50, -130, 
##     -141, -156, -165, -176, -197, -203, -221, -228, -233, -233, 
##     -237, -244, -249, -243, -245, -247, -249, -247, -267, -265, 
##     -261, -266, -260, -202, -187, -149, -90, -77, -54, -21, 79, 
##     74, 78, 74, 73, 76, 79, 84, 67, 75, 52, 62, 70, 58), accel_arm_y = c(109, 
##     110, 110, 111, 111, 111, 111, 111, 109, 110, 110, 111, 111, 
##     111, 111, 109, 110, 108, 109, 109, 111, 111, 110, 110, 109, 
##     108, 111, 110, 109, 109, 109, 108, 110, 109, 111, 111, 111, 
##     111, 112, 111, 110, 110, 110, 109, 110, 111, 111, 111, 108, 
##     109, 110, 110, 108, 111, 109, 110, 110, 110, 111, 111, 111, 
##     111, 111, 110, 109, 109, 111, 111, 111, 109, 111, 111, 110, 
##     110, 110, 110, 111, 111, 109, 110, 111, 110, 109, 109, 111, 
##     111, 110, 109, 109, 109, 109, 110, 111, 109, 111, 109, 111, 
##     109, 108, 111, 110, 109, 110, 109, 109, 110, 112, 111, 110, 
##     111, 110, 109, 111, 110, 110, 108, 109, 110, 111, 111, 110, 
##     111, 110, 112, 112, 110, 110, 111, 111, 110, 110, 109, 110, 
##     111, 111, 111, 110, 110, 108, 109, 107, 111, 109, 112, 111, 
##     111, 111, 110, 108, 108, 112, 110, 111, 111, 112, 110, 111, 
##     109, 109, 111, 110, 109, 111, 112, 113, -76, -77, -75, -76, 
##     -77, -75, -74, -77, -79, -77, -74, -77, -77, -74, -75, -76, 
##     -70, -73, -73, -74, -73, -77, -79, -79, -80, -77, -77, -77, 
##     -77, -78, -77, -76, -78, -76, -74, -75, -74, -74, -77, -77, 
##     -76, -77, -79, -12, -11, -12, -12, -12, -8, -10, -12, -11, 
##     -8, -11, -12, -12, -11, -12, -10, -9, -10, -10, -10, -10, 
##     -11, -9, -10, -12, -10, -10, -10, -10, -9, -8, -7, -8, -8, 
##     -8, -7, -10, -9, -7, -9, -9, -9, -10, -10, -10, -9, -7, -8, 
##     -10, -9, -11, -10, -11, -10, -9, -7, -6, -5, 0, 1, 1, 3, 
##     5, 5, 7, 6, 9, 11, 14, 16, 17, 19, 24, 29, 33, 27, 33, 32, 
##     35, 34, 38, 33, 29, 25, 28, 26, 10, 7, 4, -7, -1, -14, -13, 
##     -37, -59, -64, -90, -89, -75, -68, -60, -45, -45, -28, -8, 
##     8, 6, 20, 18, 31, 26, 36, 37, 32, 47, 25, 16, 21, 18, 24, 
##     27, 8, -1, -1, 3, -1, 2, 7, 8, 11, 23, 21, 28, 29, 15, 13, 
##     12, 8, 7, -1, 5, 6, 5, 5, -31, -25, -40, -79, -86, -92, -95, 
##     -100, -101, -54, -53, -51, -32, -30, -29, -11, 1, -3, 9, 
##     13, 11, 7, 20, 19, 23, 41, 30, 5, 6, 4, -2, -11, -9, -18, 
##     -29, -48, -54, -70, -80, -86, -97, -101, -80, -72, -53, -55, 
##     -25, 9, 22, 21, 9, 9, 39, 38, 43, 57, 35, 38, 44, 21, 31, 
##     27, 31, 29, 27, 19, 9, 11, 9, 9, 6, 10, 7, 9, 7, 7, 7, 8, 
##     8, 12, 16, 17, 25, 29, 36, 42, 41, 45, 54, 46, 25, 32, 33, 
##     35, 30, 25, 21, 11, 9, -2, -12, -14, -12, -37, -49, -53, 
##     -74, -75, -75, -80, -77, -71, -44, -35, -22, 37, 24, 38, 
##     60, 72, 59, 49, 80, 60, 50, 39, 47, 32, 29, 18, 25, 2, 2, 
##     6, 7, 6, 5, 8, 9, 9, 11, 15, 18, 20, 24, 30, 37, 38, 43, 
##     31, 26, 24, 24, 22, 59, 57, 45, 53, 62, 48, 34, 33, 22, 25, 
##     29, 18, 19, 15, 13, 14, 16, 15, 18, 20, 26, 27, 31, 37, 47, 
##     50, 38, 24, 27, 17, 24, 20, 8, -2, -51, -59, -64, -73, -76, 
##     -70, -57, -47, -42, -38, -32, -19, 16, 15, 20, 42, 42, 40, 
##     43, 58, 52, 45, 51, 46, 21, 11, 6, 11, 17, 23, 18, 12, 5, 
##     11, 14, 15, 17, 15, 20, 23, 27, 35, 11, 4, 4, 8, 2, -9, -29, 
##     -27, -45, -51, -82, -68, -67, -49, -39, -36, 6, 6, 8, 15, 
##     39, 36, 27, 27, 24, 18, 14, 9, 13, 5, -7, -6, -11, -16, -20, 
##     -32, -50, -58, -56, -57, -71, -80, -58, -56, -43, 5, 9, 9, 
##     1, 9, 12, 19, 17, 19, 19, 37, 43, 41, 30, 28, 37, 36, 36, 
##     36, 7, -5, -82, -53, -40, -48, -40, -33, 11, 10, 74, 25, 
##     20, 18, 20, 15, 18, 10, 1, -17, -29, -59, -70, -102, -99, 
##     -82, -79, -73, -53, -41, -34, 2, 67, 57, 69, 85, 66, 71, 
##     66, 50, 45, 56, 42, 37, 26, 14, 2, 95, 93, 90, 78, 65, 57, 
##     34, 24, -2, -33, -39, -36, -35, -39, -40, -29, -33, -50, 
##     -51, -48, -52, -58, -50, -54, -57, -55, -48, -49, -51, -46, 
##     -40, -38, -36, -39, -48, -54, -56, -58, -64, -67, -64, -65, 
##     -64, -58, -60, -51, -53, -55, -53, -62, -60, -64, -63, -60, 
##     -61, -60, -67, -68, -68, -67, -75, -70, -68, -73, -72, -70, 
##     -69, -66, -63, -67, -58, -58, -60, -61, -69, -63, -64, -65, 
##     -65, -64, -64, -65, -58, -58, -53, -40, -38, -51, -55, -61, 
##     -57, -56, -55, -53, -55, -54, -55, -54, -54, -53, -53, -56, 
##     -60, -60, -62, -60, -59, -56, -57, -56, -40, -36, -44, -55, 
##     -57, -57, -57, -54, -51, -50, -51, -48, -51, -48, -50, -49, 
##     -49, -49, -49, -51, -50, -47, -48, -48, -48, -49, -49, -49, 
##     -50, -48, -48, -52, -51, -47, -51, -48, -46, -46, -48, -50, 
##     -48, -50, -51, -54, -51, -46, -45, -49, -53, -47, -47, -47, 
##     -46, -45, -42, -44, -42, -44, -44, -45, -42, -44, -45, -45, 
##     -45, -45, -48, -54, -29, -29, -31, -35, -41, -46, -51, -49, 
##     -43, -36, -34, -37, -39, -40, -38, -40, -37, -38, -39, -41, 
##     -41, -43, -35, -37, -41, -43, -43, -42, -40, -41, -57, -57, 
##     -57, -56, -53, -52, -55, -53, -56, -50, -50, -60, -70, -66, 
##     -71, -73, -67, -65, -69, -84, -86, -122, -111, -96, -38, 
##     -46, -49, -45, -46, -46, -49, -49, -50, -50, -48, -48, -47, 
##     -47, -49, -48, -51, -50, -49, -56, -56, -58, -58, -55, -55, 
##     -56, -56, -54, -51, -53, -51, -47, -56, -67, -69, -67, -64, 
##     -64, -71, -70, -51, -55, -62, -63, 84, 86, 85, 85, 87, 90, 
##     96, 88, 95, 97, 97, 97, 102, 100, 100, 103, 110, 92, -62, 
##     -60, -62, -62, -62, -61, -63, -64, -64, -63, -61, -63, -62, 
##     -66, -62, -61, -62, -62, -61, -64, -61, -60, -61, -61, -62, 
##     -59, -57, -56, -55, -60, -65, -62, -59, -56, -60, -56, -57, 
##     -58, -59, -61, -60, -57, -59, -61, -60, -63, -66, -67, -63, 
##     -63, -57, -58, -62, -65, -70, -64, -54, -53, -49, -53, -51, 
##     -52, -55, -52, -63, -70, -51, -43, -65, -58, -55, -62, -60, 
##     -50, -62, -70, -70, -58, -69, -79, -59, -68, -71, -68, -85, 
##     -82, -75, -75, -79, -63, -71, -63, -63, -68, -71, -78, -85, 
##     -78, -66, -71, -79, -75, -71, -73, -79, -77, -83, -71, -66, 
##     -81, -71, -70, -61, -60, -67, -68, -56, -55, -67, -76, -66, 
##     -72, -73, -75, -75, -61, -60, -53, -51, -53, -56, -54, -53, 
##     -52, -52, -50, -49, -57, -45, -46, -44, -44, -46, -47, -48, 
##     -47, -46, -51, -45, -24, -10, -5, -2, -5, -26, -58, -58, 
##     -58, -61, -59, -52, -54, -60, -61, -61, -59, -53, -54, -55, 
##     -59, -57, -57, -56, -58, -61, -62, -62, -62, -64, -65, -63, 
##     -66, -66, -68, -69, -66, -69, -68, -69, -66, -68, -68, -66, 
##     -69, -62, -57, -57, -54, -53, -47, -43, -47, -49, -55, -53, 
##     -51, -59, -63, -64, -67, -69, -67, -64, -63, -66, -108, -108, 
##     -112, -121, -130, -122, -110, -131, -134, -109, -111, -125, 
##     -134, -137, -137, -139, -140, -140, -138, -140, -143, -144, 
##     -144, -135, -138, -144, -138, -142, -135, -99, -114, -98, 
##     -100, -86, -79, -86, -62, -81, -78, -61, -72, -57, -44, -60, 
##     -35, -32, -43, -45, -47, -47, -51, -45, -48, -47, -54, -45, 
##     -41, -43, -48, -46, -46, -46, -50, -45, -52, -50, -49, -49, 
##     -55, -51, -52, -25, -19, -20, -130, -137, -127, -129, -130, 
##     -129, -119, -111, -110, -92, -105, -96, -94, -65, -107, -90, 
##     -56, -90, -58, -41, -70, -81, -56, -31, -84, -30, -32, -31, 
##     -36, -44, -48, -49, -58, -60, -52, -49, -39, -42, -42, -43, 
##     -52, -50, -50, -46, -53, -54, -49, -45, -36, -29, -26, -43, 
##     -30, -45, -49, -54, -59, -64, -66, -72, -93, -94, -93, -98, 
##     -101, -104, -111, -116, -115, -113, -118, -118, -120, -129, 
##     -130, -117, -125, -120, -115, -122, -123, -124, -126, -125, 
##     -126, -130, -131, -123, -122, -113, -107, -109, -110, -106, 
##     -87, -80, -86, -86, -82, -81, -35, -20, -46, -28, -53, -39, 
##     -21, -4, -10, -19, -31, -35, -31, -35, -45, -62, -50, -50, 
##     -44, -39, -44, -52, -53, -55, -56, -58, -57, -56, -50, -50, 
##     -49, -46, -49, -48, -46, -33, -20, -19, -18, -32, -34, -32, 
##     -47, -55, -77, -90, -91, -85, -111, -106, -114, -112, -103, 
##     -112, -105, -117, -123, -120, -115, -113, -112, -119, -115, 
##     -110, -109, -107, -110, -113, -110, -103, -98, -97, -92, 
##     -88, -64, -45, -64, -61, -44, -38, -74, -45, -27, -8, 16, 
##     14, -16, 9, -4, -23, -19, -29, -21, -22, -25, -28, -34, -43, 
##     -38, -31, -30, -38, -38, -38, -38, -39, -35, -30, -19, -8, 
##     -16, -13, -14, -28, -32, -57, -66, -69, -67, -62, -85, -48, 
##     -10, -23, 17, -17, -7, -14, -22, -22, -17, -27, -35, -47, 
##     -46, -44, -41, -39, -32, -33, -47, -48, -52, -54, -56, -55, 
##     -57, -51, -32, -12, -2, -8, -7, -13, -23, -22, -20, -32, 
##     -50, -66, -66, -81, -76, -59, -81, -71, -78, -83, -90, -95, 
##     -89, -85, -95, -115, -110, -112, -118, -112, -122, -124, 
##     -120, -115, -119, -117, -108, -117, -117, -125, -118, -125, 
##     -76, -57, -63, -37, -43, -57, -38, -20, -20, -6, -22, -15, 
##     -1, -6, -2, -4, -12, -18, -15, -18, -103, -96, -101, -107, 
##     -108, -116, -112, -116, -115, -111, -121, -119, -113, -107, 
##     -117, -115, -108, -118, -119, -115, -113, -113, -117, -116, 
##     -111, -117, -116, -114, -100, -107, -84, -83, -55, -56, 193, 
##     195, 194, 149, 149, 148, 151, 159, 160, 164, 165, 161, 156, 
##     154, 155, 156, 155, 155, 155, 152, 152, 155, 155, 158, 157, 
##     156, 155, 154, 154, 153, 154, 152, 154, 154, 154, 154, 154, 
##     154, 154, 156, 154, 153, 153, 152, 154, 153, 153, 153, 154, 
##     156, 154, 154, 154, 154, 154, 153, 153, 154, 154, 154, 154, 
##     154, 155, 153, 154, 154, 153, 154, 154, 154, 154, 154, 154, 
##     155, 155, 154, 154, 154, 154, 154, 155, 155, 154, 153, 153, 
##     156, 154, 154, 155, 154, 154, 154, 154, 154, 155, 156, 155, 
##     156, 156, 157, 154, 155, 154, 153, 154, 154, 154, 153, 154, 
##     155, 154, 156, 154, 155, 154, 153, 154, 155, 154, 153, 153, 
##     154, 154, 153, 154, 154, 153, 154, 155, 154, 155, 154, 155, 
##     156, 155, 155, 154, 154, 155, 155, 153, 153, 153, 154, 154, 
##     153, 153, 155, 156, 156, 155, 155, 155, 152, 153, 154, 154, 
##     153, 151, 154, 154, 154, 153, 157, 155, 156, 155, 154, 154, 
##     154, 154, 155, 156, 155, 156, 156, 156, 160, 164, 164, 188, 
##     189, 186, 175, 175, 156, 147, 138, 136, 138, 127, 120, 110, 
##     101, 95, 89, 77, 78, 79, 80, 74, 79, 67, 61, 69, 166, 170, 
##     169, 164, 163, 160, 159, 156, 154, 156, 157, 160, 157, 159, 
##     161, 161, 162, 162, 176, 183, 189, 189, 187, 186, 180, 176, 
##     159, 152, 145, 135, 115, 89, 89, 73, 65, 60, 38, 33, 19, 
##     17, 19, 33, 38, 42, 42, 39, 42, 41, 43, 59, 58, 45, 78, 86, 
##     67, 86, 105, 159, 161, 162, 161, 158, 159, 156, 156, 159, 
##     159, 160, 170, 175, 178, 180, 179, 178, 168, 158, 156, 124, 
##     111, 77, 70, 65, 61, 64, 50, 43, 35, 38, 45, 64, 45, 49, 
##     79, 84, 81, 84, 98, 97, 108, 123, 134, 165, 172, 177, 31, 
##     30, 30, 32, 31, 45, 49, 53, 63, 85, 95, 103, 129, 130, 132, 
##     151, 158, 180, 187, 183, 202, 212, 211, 209, 205, 198, 196, 
##     191, 188, 187, 175, 168, 164, 161, 162, 161, 165, 166, 170, 
##     174, 174, 184, 186, 187, 197, 201, 203, 193, 185, 164, 159, 
##     154, 152, 150, 141, 137, 125, 115, 100, 99, 97, 81, 71, 66, 
##     41, 41, 43, 45, 57, 73, 97, 91, 107, 127, 144, 154, 163, 
##     170, 177, 181, 207, 188, 178, 185, 190, 180, 185, 183, 179, 
##     174, 174, 173, 169, 166, 162, 160, 161, 157, 162, 163, 162, 
##     167, 166, 166, 164, 163, 170, 186, 191, 197, 198, 198, 183, 
##     150, 146, 135, 106, 94, 86, 82, 71, 66, 65, 58, 47, 38, 28, 
##     26, 24, 25, 27, 29, 33, 31, 31, 178, 178, 178, 172, 172, 
##     167, 164, 159, 163, 166, 166, 165, 164, 164, 166, 168, 169, 
##     174, 174, 174, 180, 189, 189, 191, 192, 207, 211, 203, 206, 
##     193, 166, 131, 117, 111, 100, 94, 89, 78, 71, 63, 13, 24, 
##     22, 17, 21, 62, 81, 89, 122, 124, 134, 149, 154, 167, 174, 
##     191, 194, 204, 210, 207, 194, 194, 187, 184, 186, 188, 195, 
##     185, 182, 170, 169, 157, 153, 153, 152, 154, 163, 165, 168, 
##     185, 188, 204, 203, 204, 207, 202, 195, 178, 165, 123, 103, 
##     78, 68, 61, 61, 55, 49, 24, 15, 7, 6, 3, 3, 9, 16, 62, 69, 
##     78, 98, 117, 156, 166, 171, 189, 194, 197, 197, 191, 192, 
##     184, 188, 163, 161, 160, 164, 210, 213, 218, 220, 218, 214, 
##     201, 199, 191, 169, 150, 131, 118, 108, 103, 90, 90, 87, 
##     78, 75, 59, 50, 45, 8, -12, -8, -2, 5, 3, 14, 35, 159, 157, 
##     158, 156, 159, 163, 160, 158, 162, 157, 156, 152, 155, 160, 
##     160, 158, 157, 157, 156, 160, 159, 159, 162, 159, 157, 155, 
##     157, 157, 160, 157, 158, 157, 155, 157, 170, 163, 162, 160, 
##     153, 156, 165, 157, 153, 149, 147, 151, 155, 157, 163, 178, 
##     176, 172, 163, 164, 167, 161, 157, 155, 155, 155, 154, 154, 
##     155, 157, 159, 161, 163, 166, 162, 160, 160, 160, 156, 158, 
##     152, 154, 159, 164, 163, 162, 154, 155, 156, 161, 161, 159, 
##     160, 160, 158, 157, 157, 159, 157, 156, 158, 156, 154, 155, 
##     157, 156, 158, 156, 154, 158, 157, 157, 155, 155, 157, 155, 
##     156, 154, 155, 156, 156, 156, 156, 156, 157, 158, 156, 157, 
##     158, 156, 156, 155, 156, 156, 155, 155, 155, 156, 158, 156, 
##     157, 157, 156, 156, 158, 156, 156, 155, 156, 156, 154, 156, 
##     159, 158, 157, 156, 156, 159, 157, 156, 154, 155, 155, 154, 
##     157, 157, 157, 157, 158, 155, 157, 157, 158, 155, 154, 154, 
##     154, 155, 152, 154, 156, 156, 156, 154, 154, 154, 154, 154, 
##     153, 156, 155, 153, 155, 153, 153, 152, 156, 156, 157, 155, 
##     155, 154, 155, 154, 154, 157, 154, 153, 155, 151, 154, 154, 
##     154, 153, 155, 155, 156, 156, 154, 154, 154, 152, 153, 153, 
##     154, 152, 155, 154, 152, 158, 155, 156, 156, 156, 154, 153, 
##     154, 154, 154, 153, 154, 155, 153, 156, 157, 156, 154, 154, 
##     155, 154, 154, 158, 157, 154, 155, 156, 155, 154, 153, 155, 
##     154, 157, 155, 155, 155, 155, 154, 156, 153, 152, 153, 155, 
##     154, 154, 153, 151, 151, 154, 157, 157, 155, 154, 153, 152, 
##     150, 151, 154, 153, 153, 154, 158, 157, 153, 150, 154, 161, 
##     165, 165, 165, 172, 172, 171, 166, 152, 147, 149, 136, 136, 
##     139, 143, 146, 149, 163, 164, 168, 166, 165, 166, 176, 171, 
##     163, 162, 155, 157, 158, 158, 159, 158, 155, 154, 161, 161, 
##     171, 167, 168, 158, 159, 159, 159, 161, 160, 161, 161, 160, 
##     163, 166, 164, 160, 157, 161, 160, 161, 163, 164, 163, 163, 
##     162, 163, 161, 160, 111, 112, 112, 111, 110, 111, 112, 113, 
##     113, 111, 110, 111, 111, 110, 111, 112, 114, 113, 112, 110, 
##     110, 109, 111, 113, 111, 111, 112, 112, 113, 112, 110, 110, 
##     110, 110, 112, 111, 112, 111, 110, 109, 112, 111, 111, 111, 
##     112, 111, 112, 112, 112, 110, 113, 112, 110, 109, 110, 111, 
##     111, 111, 112, 111, 113, 111, 111, 111, 111, 112, 111, 111, 
##     113, 112, 111, 113, 112, 111, 110, 111, 111, 111, 112, 110, 
##     112, 112, 112, 111, 112, 112, 111, 111, 112, 112, 112, 113, 
##     112, 112, 112, 110, 110, 112, 112, 112, 110, 110, 112, 112, 
##     111, 110, 112, 112, 112, 112, 112, 111, 110, 110, 113, 111, 
##     109, 112, 112, 113, 112, 112, 112, 112, 109, 110, 112, 111, 
##     110, 110, 111, 111, 110, 110, 110, 109, 113, 111, 113, 111, 
##     113, 112, 111, 111, 111, 110, 110, 112, 110, 111, 110, 110, 
##     110, 111, 110, 112, 112, 111, 111, 109, 110, 109, 109, 109, 
##     111, 112, 111, 112, 111, 111, 110, 112, 112, 111, 111, 110, 
##     111, 113, 111, 111, 111, 112, 109, 111, 112, 111, 110, 111, 
##     110, 111, 112, 112, 110, 109, 110, 112, 112, 111, 111, 112, 
##     110, 112, 112, 111, 112, 111, 110, 111, 111, 112, 110, 112, 
##     110, 111, 111, 112, 111, 112, 111, 111, 112, 112, 112, 112, 
##     110, 111, 110, 110, 109, 109, 111, 113, 112, 112, 108, 108, 
##     110, 110, 111, 110, 110, 109, 109, 107, 108, 107, 108, 111, 
##     111, 112, 110, 110, 111, 110, 109, 109, 109, 110, 110, 108, 
##     110, 110, 111, 110, 110, 110, 110, 109, 109, 110, 109, 110, 
##     109, 110, 109, 110, 110, 110, 109, 110, 109, 109, 108, 109, 
##     112, 112, 109, 109, 106, 108, 109, 109, 110, 110, 111, 111, 
##     111, 109, 111, 110, 109, 107, 107, 109, 109, 112, 110, 110, 
##     110, 108, 115, 113, 109, 105, 113, 112, 112, 113, 117, 118, 
##     121, 119, 118, 115, 117, 112, 108, 107, 103, 105, 97, 91, 
##     83, 73, 69, 61, 48, 36, 30, 31, 30, 27, 20, 17, 23, 23, 20, 
##     17, 15, 5, 5, -4, -4, -19, -23, -25, -20, -19, -16, -11, 
##     -8, -15, -14, -11, -11, -7, 0, 7, 14, 33, 29, 42, 54, 50, 
##     54, 87, 88, 83, 130, 129, 127, 135, 145, 152, 149, 147, 140, 
##     138, 133, 129, 123, 128, 126, 130, 128, 129, 130, 127, 127, 
##     129, 136, 137, 142, 143, 141, 142, 137, 141, 130, 134, 111, 
##     109, 91, 92, 64, 62, 56, 40, 36, 29, 20, 17, 12, 7, 0, -8, 
##     -32, -31, -30, -34, -35, -30, -33, -29, -21, -6, -6, 8, 25, 
##     32, 35, 63, 68, 93, 100, 131, 153, 168, 171, 26, 21, 21, 
##     -1, -33, -46, -38, -31, -25, -23, -22, -12, -8, 36, 44, 66, 
##     80, 100, 116, 124, 146, 139, 156, 153, 156, 163, 176, 164, 
##     152, 156, 146, 152, 162, 164, 160, 158, 147, 139, 137, 131, 
##     136, 149, 150, 156, 166, 169, 171, 191, 190, 190, 111, 107, 
##     89, 87, 88, 82, 67, 60, 50, 47, 20, -22, -52, -60, -59, -48, 
##     -39, -8, -6, -8, -14, -8, 9, 14, 20, 25, 31, 51, 49, 63, 
##     73, 87, 98, 101, 139, 150, 150, 148, 165, 165, 163, 163, 
##     153, 148, 140, 140, 134, 124, 119, 117, 110, 162, 158, 144, 
##     144, 137, 146, 162, 169, 168, 169, 164, 158, 152, 130, 123, 
##     115, 102, 79, 59, 55, 42, 12, 2, -34, -44, -48, -41, -39, 
##     -13, 0, -1, -5, -4, 34, 78, 111, 110, 116, 126, 131, 160, 
##     153, 158, 155, 151, 168, 153, 139, 147, 139, 152, 152, 141, 
##     140, 137, 127, 121, 114, 116, 123, 131, 132, 134, 141, 147, 
##     157, 159, 158, 155, 141, 121, 111, 108, 91, 86, 72, 61, 51, 
##     45, 26, 25, -15, -37, -39, -45, -8, 1, 1, 158, 157, 156, 
##     161, 160, 163, 161, 168, 164, 160, 157, 156, 156, 155, 155, 
##     153, 155, 154, 155, 154, 158, 158, 155, 156, 162, 152, 152, 
##     153, 155, 153, 154, 154, 158, 160, 162, 163, 162, 162, 160, 
##     160, 159, 158, 158, 156, 156, 157, 155, 159, 161, 159, 162, 
##     162, 161, 160, 158, 159, 159, 157, 157, 161, 161, 161, 155, 
##     156, 158, 160, 158, 159, 159, 157, 157, 158, 158, 158, 159, 
##     158, 157, 159, 161, 158, 157, 156, 154, 158, 156, 157, 160, 
##     160, 160, 158, 159, 161, 158, 156, 156, 160, 158, 159, 157, 
##     158, 155, 154, 159, 156, 160, 160, 163, 164, 163, 160, 158, 
##     158, 155, 155, 154, 157, 159, 160, 155, 155, 157, 164, 164, 
##     161, 159, 158, 158, 160, 158, 154, 155, 157, 157, 159, 160, 
##     160, 160, 159, 158, 159, 160, 157, 157, 157, 157, 157, 160, 
##     158, 159, 160, 161, 159, 157, 157, 160, 158, 157, 158, 161, 
##     160, 161, 162, 158, 159, 159, 158, 156, 157, 158, 158, 157, 
##     158, 158, 158, 159, 160, 157, 159, 159, 157, 158, 157, 158, 
##     157, 157, 158, 158, 160, 160, 159, 159, 160, 160, 161, 159, 
##     157, 158, 158, 158, 157, 156, 158, 157, 159, 158, 160, 159, 
##     158, 159, 156, 160, 158, 158, 157, 158, 159, 158, 158, 160, 
##     157, 157, 159, 158, 158, 156, 156, 158, 158, 157, 156, 155, 
##     156, 155, 158, 163, 162, 161, 159, 158, 160, 157, 149, 150, 
##     155, 154, 153, 157, 155, 158, 155, 153, 156, 156, 155, 157, 
##     159, 159, 154, 156, 157, 159, 164, 163, 154, 148, 153, 153, 
##     154, 155, 154, 154, 155, 154, 154, 155, 154, 155, 154, 157, 
##     157, 158, 156, 155, 155, 156, 155, 157, 160, 160, 160, 154, 
##     150, 150, 150, 150, 154, 152, 160, 162, 161, 154, 152, 151, 
##     153, 154, 156, 156, 155, 155, 156, 158, 155, 153, 155, 154, 
##     153, 153, 155, 155, 158, 159, 156, 161, 158, 157, 155, 157, 
##     156, 158, 157, 158, 157, 156, 154, 152, 155, 157, 165, 166, 
##     165, 158, 155, 161, 162, 157, 155, 160, 155, 156, 155, 154, 
##     158, 155, 157, 162, 156, 158, 155, 154, 156, 157, 156, 155, 
##     154, 155, 156, 156, 154, 154, 153, 152, 154, 153, 152, 155, 
##     156, 155, 155, 152, 156, 153, 156, 155, 157, 156, 155, 152, 
##     156, 153, 153, 154, 154, 157, 154, 154, 153, 153, 151, 152, 
##     156, 155, 154, 149, 156, 163, 167, 178, 182, 219, 233, 237, 
##     242, 239, 176, 180, 179, 138, 149, 128, 99, 103, 73, 67, 
##     66, 69, 63, 47, 39, 38, 33, 6, 15, 16, 27, 35, 61, 53, 54, 
##     82, 76, 91, 146, 165, 174, 194, 161, 207, 204, 205, 204, 
##     205, 192, 187, 197, 201, 205, 205, 217, 221, 231, 235, 233, 
##     244, 238, 236, 216, 211, 198, 188, 176, 157, 139, 111, 102, 
##     104, 96, 89, 87, 85, 62, 37, 27, 25, 41, 44, 65, 61, 63, 
##     73, 91, 97, 89, 137, 137, 147, 169, 168, 203, 199, 186, 221, 
##     244, 216, 184, 198, 205, 235, 237, 220, 228, 226, 209, 212, 
##     224, 231, 263, 258, 251, 211, 198, 171, 166, 154, 151, 132, 
##     106, 84, 32, 28, 18, 18, 27, 50, 47, 47, 54, 61, 70, 72, 
##     83, 112, 127, 140, 136, 169, 163, 176, 239, 254, 213, 217, 
##     254, 220, 221, 202, 199, 202, 209, 211, 212, 227, 258, 265, 
##     245, 250, 248, 237, 195, 179, 161, 150, 131, 130, 103, 99, 
##     72, 70, 57, 41, 28, 27, 33, 34, 32, 34, 56, 64, 85, 95, 72, 
##     78, 103, 129, 143, 194, 179, 163, 197, 209, 230, 211, 218, 
##     232, 229, 217, 218, 225, 228, 221, 211, 209, 204, 216, 219, 
##     234, 238, 231, 235, 236, 239, 239, 244, 239, 234, 208, 191, 
##     177, 151, 121, 124, 106, 103, 75, 18, 21, 38, 42, 69, 76, 
##     117, 118, 170, 195, 200, 162, 188, 226, 210, 221, 210, 198, 
##     200, 213, 200, 202, 209, 214, 231, 221, 217, 218, 230, 236, 
##     212, 205, 201, 179, 168, 152, 138, 131, 136, 117, 90, 79, 
##     36, 24, 23, 22, 33, 61, 77, 64, 86, 91, 101, 107, 148, 149, 
##     177, 182, 183, 175, 159, 191, 214, 206, 218, 226, 233, 252, 
##     219, 200, 204, 203, 185, 203, 207, 217, 221, 229, 228, 220, 
##     213, 205, 183, 175, 171, 164, 148, 136, 99, 50, 37, 31, 32, 
##     48, 68, 64, 60, 71, 87, 74, 67, 83, 107, 143, 164, 191, 194, 
##     187, 200, 183, 171, 212, 211, 219, 211, 183, 171, 165, 165, 
##     186, 191, 216, 214, 238, 239, 229, 220, 202, 154, 144, 105, 
##     117, 93, 60, 40, 35, 29, 35, 129, 112, 99, 158, 156, 157, 
##     158, 156, 155, 155, 155, 153, 153, 154, 155, 155, 158, 156, 
##     157, 158, 159, 158, 156, 156, 154, 153, 154, 154, 155, 155, 
##     160, 166, 168, 174, 168, 181, 183, 149, 143, 137, 136, 134, 
##     123, 120, 134, 141, 149, 176, 174, 168, 163, 166, 177, 190, 
##     -29, -29, -21, -36, -43, -47, -78, -72, -75, -80, -78, -84, 
##     -78, -94, -98, -29, -26, -22, -22, -33, -34, -47, -48, -40, 
##     -38, -40, -42, -42, -41, -42, -44, -44, -47, -39, -36, -25, 
##     -22, -25, -89, -90, -86, -100, -95, -102, -96, -107, -106, 
##     -105, -111, -106, -111, -125, -122, -114, -112, -110, -90, 
##     -68, -49, -48, -66, -68, -83, -93, -95, -97, -123, -124, 
##     -121, -118, -119, -117, -115, -123, -132, -127, -125, -121, 
##     -126, -63, -59, -55, -61, -64, -69, -74, -77, -79, -76, -72, 
##     -69, -61, -61, -49, -46, -57, -79, -90, -85, -104, -63, -63, 
##     -64, -65, -66, -62, -61, -39, -49, -52, -54, -58, -76, -65, 
##     -46, -25, -36, -43, -62, -63, -60, -67, -66, -65, -64, -65, 
##     -68, -66, -66, -68, -68, -70, -69, -68, -68, -67, -66, -68, 
##     -69, -68, -70, -69, -68, -66, -63, -63, -35, -41, -62, -67, 
##     -62, -64, -70, -78, -78, -80, -80, -69, -45, -46, -45, -46, 
##     -46, -44, -44, -45, -44, -46, -44, -46, -47, -43, -46, -45, 
##     -44, -43, -42, -46, -44, -42, -45, -42, -46, -49, -55, -55, 
##     -51, -50, -54, -42, -41, -50, -49, -47, -44, -42, -42, -44, 
##     -47, -48, -46, -43, -45, -44, -45, -45, -45, -44, -45, -44, 
##     -43, -45, -45, -45, -45, -44, -46, -47, -45, -45, -46, -43, 
##     -46, -46, -44, -45, -44, -44, -44, -45, -43, -45, -45, -44, 
##     -45, -44, -44, -46, -46, -47, -45, -46, -45, -44, -46, -45, 
##     -45, -44, -43, -43, -43, -43, -43, -42, -44, -43, -43, -44, 
##     -45, -45, -41, -42, -42, -42, -43, -42, -43, -44, -43, -42, 
##     -42, -45, -43, -43, -41, -41, -41, -42, -41, -41, -39, -42, 
##     -47, -47, -40, -40, -42, -44, -42, -37, -36, -40, -43, -41, 
##     -39, -41, -41, -39, -41, -39, -41, -41, -42, -40, -42, -42, 
##     -42, -41, -41, -43, -44, -44, -45, -45, -44, -46, -47, -47, 
##     -47, -45, -46, -46, -43, -44, -44, -43, -44, -43, -44, -43, 
##     -44, -45, -42, -44, -44, -42, -44, -43, -43, -44, -43, -43, 
##     -42, -41, -43, -43, -46, -45, -44, -45, -44, -43, -45, -33, 
##     -37, -41, -44, -47, -50, -48, -43, -42, -43, -44, -45, -47, 
##     -46, -47, -45, -43, -43, -45, -45, -46, -42, -49, -50, -49, 
##     -46, -49, -47, -43, -44, -49, -45, -46, -43, -43, -46, -47, 
##     -47, -45, -40, -42, -43, -45, -43, -44, -42, -43, -43, -43, 
##     -42, -41, -42, -42, -44, -42, -41, -41, -42, -41, -42, -42, 
##     -41, -41, -41, -43, -42, -43, -42, -41, -41, -42, -45, -42, 
##     -15, -33, -34, -41, -47, -67, -70, -74, -83, -89, -77, -74, 
##     -72, -74, -77, -79, -83, -84, -85, -88, -81, -77, -73, -81, 
##     -85, -85, -84, -85, -85, -87, -85, -86, -84, -83, -83, -83, 
##     -82, -82, -80, -79, -76, -77, -79, -81, -83, -86, -88, -89, 
##     -91, -93, -96, -101, -104, -106, -107, -111, -108, -104, 
##     -106, -107, -107, -110, -105, -105, -102, -100, -99, -97, 
##     -96, -95, -94, -94, -96, -97, -97, -97, -95, -93, -89, -89, 
##     -89, -89, -90, -89, -86, -87, -85, -81, -81, -79, -79, -80, 
##     -80, -74, -76, -79, -63, -64, -62, -64, -62, -64, -73, -61, 
##     -78, -74, -48, -68, -55, -43, -39, -65, -73, -75, -61, -57, 
##     -59, -61, -55, -59, -56, -53, -51, -49, -51, -61, -62, -65, 
##     -61, -60, -62, -62, -58, -57, -56, -56, -58, -58, -60, -60, 
##     -59, -62, -59, -60, -90, -95, -91, -118, -118, -125, -127, 
##     -132, -115, -112, -113, -117, -119, -118, -113, -114, -106, 
##     -89, -62, -78, -51, -46, -53, -49, -46, -60, -47, -45, -18, 
##     -23, -33, -35, -35, -54, -55, -58, -60, -58, -53, -54, -57, 
##     -56, -50, -34, -9, -75, -85, -57, -48, -31, -36, -32, -20, 
##     -22, -34, -34, -34, -32, -39, -44, -46, -41, -39, -47, -54, 
##     -58, -44, -44, -49, -43, -41, -42, -46, -39, -30, -27, -26, 
##     -17, -17, -18, -20, -22, -22, -37, -28, -42, -48, -58, -73, 
##     -67, -83, -111, -117, -118, -117, -117, -111, -107, -122, 
##     -111, -111, -101, -94, -101, -95, -74, -48, -51, -68, -58, 
##     -59, -39, -25, -18, -17, -24, -41, -51, -59, -61, -67, -65, 
##     -59, -82, -52, -61, -65, -64, -65, -68, -63, -55, -58, -59, 
##     -63, -69, -46, -60, -63, -73, -77, -73, -106, -109, -110, 
##     -120, -116, -109, -146, -137, -105, -109, -103, -103, -94, 
##     -94, -93, -84, -75, -61, -59, -50, -50, -50, -47, -51, -38, 
##     -37, -45, -35, -31, -29, -47, -46, -61, -64, -57, -51, -50, 
##     -68, -67, -62, -62, -63, -61, -62, -54, -48, -40, -36, -17, 
##     -2, -26, -48, -49, -56, -59, -73, -62, -52, -50, -62, -72, 
##     -84, -97, -112, -116, -123, -121, -119, -119, -119, -120, 
##     -118, -116, -110, -107, -106, -102, -88, -85, -84, -61, -72, 
##     -47, -36, -23, -37, -22, -20, -13, -16, -18, -13, -14, -18, 
##     -24, -26, -32, -60, -66, -61, -47, -41, -38, -48, -51, -59, 
##     -61, -69, -60, -50, -48, -48, -47, -46, -49, -50, -56, -56, 
##     -52, -50, -48, -45, -36, -29, -23, -14, -12, -13, -30, -31, 
##     -33, -54, -58, -55, -61, -58, -64, -64, -73, -74, -52, -49, 
##     -47, -44, -30, -37, -40, -40, -42, -44, -38, -33, -33, -32, 
##     -42, -41, -47, -46, -57, -64, -64, -67, -49, -22, -31, -79, 
##     -78, -75, -63, -60, -62, -63, -62, -59, -54, -60, -52, -42, 
##     -20, -15, -18, -19, -19, -29, -35, -32, -28, -20, -42, -44, 
##     -54, -78, -50, -46, -32, -40, -17, -20, -30, -23, -31, -24, 
##     -15, -26, -20, -26, -40, -33, -31, -32, -31, -40, -48, -45, 
##     -43, -36, -36, -48, -39, -40, -42, -40, -42, -30, -27, -28, 
##     -27, -25, -30, -29, -37, -45, -61, -66, -71, -72, -77, -84, 
##     -87, -86, -83, -95, -90, -96, -103, -97, -89, -95, -101, 
##     -116, -114, -113, -113, -109, -111, -113, -111, -116, -118, 
##     -116, -115, -118, -113, -109, -91, -92, -98, -94, -79, -47, 
##     -50, -70, -69, -38, -58, -38, -42, -43, -23, -15, -6, -17, 
##     -13, -18, -8, -7, -4, -8, -7, -12, -10, -12, -12, -18, -21, 
##     -79, -88, -106, -113, -116, -106, -105, -118, -110, -126, 
##     -122, -121, -117, -114, -103, -92, -90, -81, -70, -70, -55, 
##     -33, -45, -44, -42, -48, -47, -47, -34, -32, -41, -40, -54, 
##     -63, -97, -106, -114, -116, -123, -127, -115, -123, -116, 
##     -119, -116, -113, -106, -97, -84, -89, -95, -81, -82, -82, 
##     -85, -86, -86, -87, -87, -84, -84, -87, -84, -84, -81, -83, 
##     -82, -85, -87, -86, -85, -84, -84, -83, -45, -52, -46, -44, 
##     -44, -44, -47, -49, -52, -50, -40, -34, -35, -35, -43, -49, 
##     -47, -61, -37, -32, -14, -43, -40, -42, -43, -43, -41, -43, 
##     -41, -40, -41, -43, -42, -43, -42, -42, -43, -43, -52, -53, 
##     -53, -49, -45, -44, -43, -42, -44, -52, -47, -47, -43, -44, 
##     -49, -41, -38, -42, 159, 160, 159, 158, 159, 159, 157, 159, 
##     156, 157, 159, 159, 160, 158, 158, 156, 157, 156, 156, 157, 
##     159, 158, 159, 156, 156, 157, 154, 152, 152, 151, 151, 151, 
##     155, 156, 156, 155, 156, 157, 157, 157, 157, 157, 155, 156, 
##     149, 149, 148, 150, 152, 152, 154, 155, 28, 43, 54, 56, 67, 
##     77, 124, 137, 157, 184, 195, 209, 187, 183, 168, 176, 179, 
##     183, 190, 189, 185, 178, 177, 155, 145, 114, 111, 108, 94, 
##     81, 73, 68, 53, 53, 51, 51, 50, 36, 34, 190, 182, 193, 189, 
##     190, 188, 189, 189, 176, 197, 207, 202, 150, 146, 143, 145, 
##     149, 156, 157, 157, 162, 165, 114, 145, 161, 161, 159, 180, 
##     183, 175, 170, 166, 173, 178, 176, 166, 168, 169, 169, 171, 
##     171, 169, 164, 163, 164, 164, 166, 166, 162, 72, 79, 99, 
##     106, 98, 120, 115, 118, 130, 135, 137, 146, 152, 148, 153, 
##     161, 164, 168, 167, 167, 158, 167, 170, 157, 160, 153, 155, 
##     154, 155, 153, 154, 153, 154, 154, 153, 154, 153, 155, 156, 
##     154, 155, 155, 154, 155, 154, 154, 152, 153, 152, 152, 155, 
##     183, 184, 191, 187, 185, 173, 163, 156, 156, 154, 151, 146, 
##     160, 160, 156, 154, 153, 154, 154, 153, 156, 157, 156, 158, 
##     172, 169, 157, 155, 153, 116, 118, 129, 129, 121, 124, 127, 
##     132, 137, 138, 139, 129, 128, 128, 131, 137, 145, 153, 169, 
##     117, 111, 115, 101, 122, 146, 134, 138, 143, 127, 123, 128, 
##     144, 157, 180, 184, 187, 151, 152, 167, 171, 170, 169, 170, 
##     54, 41, 84, 66, 41, 34, 41, 38, 27, 19, 16, 10, 11, 12, 12, 
##     11, 15, 19, 22, 40, 44, 42, 41, 39, 47, 40, -32, 17, 47, 
##     30, 40, 44, 75, 60, 38, 20, 11, 13, 18, 25, 2, -2, -19, 35, 
##     49, 15, 39, 28, 30, 22, 14, 12, 8, 0, 4, 2, 3, 2, -4, -6, 
##     -5, -4, 15, 20, 12, -1, -2, 3, -15, -34, -90, -77, -67, -52, 
##     -31, -22, 26, 50, 24, 30, 41, 22, 27, 25, 25, 15, 13, 10, 
##     12, 15, 7, 11, 8, 6, 5, 0, -5, -1, 3, 9, 12, 22, 21, 21, 
##     28, 39, 39, 38, 36, 5, -74, -75, 152, 136, 161, 161, 164, 
##     164, 151, 146, 140, 147, 153, 157, 160, 162, 166, 168, 169, 
##     168, 156, 147, 128, 112, 92, 92, 90, 82, 76, 68, 63, 61, 
##     46, 6, 5, 4, 5, 7, 8, 3, 4, 0, -4, 0, -1, -3, 0, -1, -6, 
##     -2, 1, -4, -4, -4, -4, -2, -2, -3, -5, -2, -2, -6, -4, -1, 
##     1, -1, 0, 8, 22, 31, 36, 36, 57, 57, 56, 54, 49, 51, 53, 
##     55, 47, 36, 28, 18, 10, 15, 3, -38, -43, -59, -62, -86, -123, 
##     -143, -138, -124, -98, -89, -84, -73, -40, 2, 41, 61, 78, 
##     85, 104, 95, 93, 74, 89, 85, 81, 78, 40, 29, 5, 3, 3, -8, 
##     -30, -62, -78, -140, -151, -137, -120, -112, -93, -71, -51, 
##     -40, -29, 18, 25, 53, 49, 82, 68, 69, 77, 79, 74, 81, 65, 
##     49, 58, 48, 41, 38, 29, 29, 37, 30, 26, 9, 6, 8, 3, 13, 23, 
##     29, 31, 47, 71, 79, 83, 83, 62, 52, 56, 35, 17, 6, -4, -41, 
##     -54, -57, -191, -157, -134, -52, -33, -17, -17, 22, 39, 64, 
##     47, 66, 31, 53, 68, 76, 90, 87, 62, 54, 52, 41, 46, 44, 25, 
##     32, 22, 34, 32, 47, 58, 75, 71, 69, 48, 40, 23, 13, 18, 20, 
##     -17, -22, -33, -37, -38, -60, -104, -128, -148, -155, -157, 
##     -154, -143, -127, -119, -74, -73, -55, -10, 32, 31, 69, 73, 
##     98, 88, 79, 70, 53, 46, 38, 34, 3, -1, 10, 26, 28, 42, 47, 
##     42, 49, 58, 69, 65, 61, 44, 35, 40, 38, 40, 36, 18, -3, -7, 
##     -38, -40, -42, -84, -100, -130, -115, -118, -91, -82, -82, 
##     -75, -36, -21, 56, 70, 93, 100, 89, 78, 72, 74, 57, 15, 23, 
##     -7, -44, -84, -84, -93, -110, -165, -172, -152, -130, -123, 
##     -78, -31, 27, 28, 49, 65, 101, 94, 82, 80, 60, 50, 52, 36, 
##     1, -9, -4, 4, 19, 28, 27, 22, 20, 27, 37, 31, 43, 58, 82, 
##     85, 87, 75, 67, 54, 56, 52, 57, 53, 49, 12, -6, -32, -60, 
##     -52, -158, -178, -184, -144, -108, -83, -50, -53, 75, 90, 
##     68, 58, 59, 71, 14, 30, 44, 36, 21, 13, 2, 0, 0, 4, 6, 4, 
##     1, 10, 24, 39, 49, 74, 60, 57, -7, -17, -41, 41, 42, 30, 
##     -1, -2, -2, -1, 3, 11, 24, 33, 34, 29, 53, 60, 69, 79, 95, 
##     87, 77, 63, 58, 58, 55, 50, -4, -15, -33, -47, -79, -149, 
##     -203, -248, -228, -212, -135, -127, -83, -78, -46, -34, -14, 
##     82, 64, 103, 58, 58, 78, 59, 86, 76, 57, 59, 30, 20, 15, 
##     17, 7, 11, 28, 46, 53, 61, 67, 72, 97, 103, 101, 87, 81, 
##     58, 45, 31, 35, 14, 6, -32, -61, -71, -91, -103, -136, -138, 
##     -179, -208, -252, 2, 54, 80, 155, 167, 172, 172, 177, 176, 
##     170, 189, 207, 214, 218, 217, 207, 201, 174, 180, 188, 201, 
##     199, 196, 196, 182, 171, 174, 170, 165, 164, 167, 165, 162, 
##     159, 158, 162, 162, 158, 159, 162, 161, 163, 145, 140, 141, 
##     148, 152, 154, 150, 149, 152, 155, 155, 157, 158, 158, 159, 
##     155, 158, 157, 154, 154, 150, 152, 151, 151, 153, 153, 157, 
##     160, 156, 153, 154, 155, 155, 156, 156, 156, 156, 155, 154, 
##     156, 155, 155, 155, 156, 155, 155, 155, 154, 155, 155, 154, 
##     156, 157, 157, 156, 156, 156, 156, 158, 156, 156, 157, 156, 
##     154, 153, 154, 155, 156, 162, 163, 162, 170, 171, 170, 170, 
##     172, 173, 173, 177, 180, 183, 186, 41, 75, 86, 108, 109, 
##     115, 151, 157, 173, 188, 195, 196, 197, 201, 208, 211, 209, 
##     214, 208, 205, 196, 189, 185, 174, 168, 160, 159, 161, 163, 
##     162, 163, 161, 160, 165, 166, 161, 179, 183, 187, 204, 206, 
##     216, 218, 210, 202, 185, 174, 157, 148, 138, 127, 90, 81, 
##     65, 63, 60, 50, 45, 33, 34, 26, 3, 1, -4, -36, -16, -21, 
##     28, 45, 45, 49, 78, 90, 97, 102, 111, 126, 139, 147, 166, 
##     175, 183, 207, 206, 208, 206, 203, 212, 218, 225, 218, 213, 
##     202, 176, 166, 141, 132, 109, 98, 91, 80, 77, 68, 60, 48, 
##     40, 36, 28, 13, -11, -16, -20, -17, -15, -7, 2, 18, 49, 101, 
##     113, 115, 123, 135, 145, 158, 165, 173, 185, 201, 212, 216, 
##     222, 210, 210, 217, 211, 208, 198, 190, 182, 165, 161, 167, 
##     168, 168, 170, 167, 168, 165, 161, 162, 165, 187, 204, 221, 
##     226, 226, 231, 221, 199, 181, 135, 117, 111, 105, 90, 75, 
##     53, 48, 40, 32, 17, 7, -11, -21, -18, -10, -6, -3, 2, 3, 
##     26, 32, 43, 52, 85, 119, 124, 133, 145, 149, 154, 177, 183, 
##     206, 211, 208, 211, 192, 190, 184, 178, 167, 154, 154, 159, 
##     166, 190, 199, 207, 209, 219, 228, 226, 203, 182, 175, 163, 
##     156, 149, 131, 122, 112, 105, 80, 75, 62, 40, 33, 7, -2, 
##     -5, -4, -15, -25, -37, -29, -28, -23, -13, -6, 2, 16, 25, 
##     29, 53, 90, 121, 133, 186, 224, 213, 199, 194, 185, 165, 
##     157, 151, 139, 132, 102, 93, 87, 84, 70, 56, 44, 36, 26, 
##     25, 10, -8, -20, -34, -40, -49, -54, -44, -29, -7, -2, 12, 
##     17, 36, 44, 54, 83, 91, 102, 115, 132, 143, 155, 211, 218, 
##     218, 216, 213, 218, 207, 200, 193, 182, 172, 173, 169, 159, 
##     163, 167, 175, 186, 201, 215, 231, 227, 217, 162, 156, 148, 
##     143, 124, 116, 103, 83, 72, 65, 11, 9, 46, 65, 95, 78, 94, 
##     138, 141, 159, 162, 154, 165, 182, 164, 144, 133, 128, 136, 
##     134, 142, 130, 124, 123, 126, 130, 134, 130, 131, 135, 147, 
##     167, 173, 171, 163, 157, 150, 146, 121, 115, 113, 103, 75, 
##     62, 61, 56, 28, 22, -18, -50, -40, 2, 43, 48, 70, 82, 108, 
##     115, 132, 143, 133, 164, 160, 161, 168, 166, 161, 160, 147, 
##     144, 136, 134, 136, 125, 128, 134, 127, 126, 129, 140, 138, 
##     139, 139, 144, 164, 164, 187, 158, 121, 107, 105, 98, 80, 
##     65, 39, 13, 0, -25, -36, -53, -57, -44, -5, 2, -3, -2, 0, 
##     32, 42, 48, 78, 83, 117, 127, 112, 97, 88, 86, 75, 64, 58, 
##     49, 44, 35, 31, 24, 9, -16, -39, -47, -50, -38, -19, -21, 
##     -18, -18, 22, 37, 44, 63, 81, 98, 121, 140, 146, 152, 137, 
##     136, 127, 133, 136, 136, 136, 136, 119, 124, 123, 128, 126, 
##     124, 127, -15, -21, -17, -8, 9, 21, 36, 41, 77, 81, 80, 85, 
##     105, 137, 145, 157, 138, 161, 165, 146, 166, 159, 149, 131, 
##     105, 118, 130, 120, 121, 126, 129, 132, 129, 125, 117, 107, 
##     106, 105, 113, 115, 110, 113, 117, 117, 113, 116, 113, 116, 
##     112, 113, 113, 113, 113, 112, 114, 113, 111, 113, 113, 113, 
##     115, 117, 115, 114, 112, 112, 110, 112, 113, 115, 114, 115, 
##     71, 72, 86, 94, 93, 96, 107, 121, 135, 138, 145, 155, 175, 
##     162, 174, 155, 155, 135, 150, 155, 140, 138, 135, 135, 135, 
##     136, -22, 67, 81, 105, 119, 123, 154, 161, 172, 187, 190, 
##     191, 194, 185, 186, 180, 147, 145, 138, 140, 152, 155, 156, 
##     154, 150, 161, 173, 176, 176, 168, 154, 128, 117, 106, 25, 
##     18, 5, -3, -31, -33, -80, -87, -101, -106, -104, -82, -79, 
##     -74, -59, -66, 158, 149, 148, 157, 174, 179, 175, 171, 94, 
##     82, 78, 57, 36, 19, 4, -87, -85, -89, -93, -65, -61, -57, 
##     -55, -64, -59, -55, -17, 10, 33, 60, 65, 77, 92, 111, 137, 
##     160, 167, 168, 168, 189, 174, 170, 161, 159, 152, 165, 170, 
##     182, 184, 136, 114, 105, 80, 71, 58, 28, 22, 5, 114, 117, 
##     152, 150, 157, 153, 169, 171, 166, 154, 156, 167, 156, 155, 
##     149, 137, 134, 134, 132, 133, 140, 142, 140, 148, 154, 158, 
##     163, 183, -52, -52, -51, -19, -20, -16, -4, 16, 34, 73, 90, 
##     154, 167, 168, 181, 170, 163, 169, 175, 167, 164, 150, 152, 
##     154, 149, 143, 141, 142, 143, 145, 151, 156, 182, 183, 186, 
##     179, 172, 165, 158, 136, 123, 94, 88, 71, 66, 57, 16, 10, 
##     -3, -25, -31, -41, -47, -55, -66, -86, -107, -105, -102, 
##     -82, -87, -74, -71, -18, -13, 22, 57, 67, 101, 151, 168, 
##     172, 182, 187, 185, 183, 181, 175, 171, 53, 59, 59, 62, 77, 
##     85, 96, 145, 153, 158, 178, 185, 186, 208, 241, 215, 138, 
##     205, 192, 201, 219, 217, 200, 191, 210, 212, 225, 218, 208, 
##     205, 201, 198, 191, 186, 209, 214, 219, 233, 233, 235, 202, 
##     192, 214, 225, 185, 202, 194, 195, 224, 234, 237, 242, 247, 
##     247, 248, 220, 190, 155, 151, 142, 108, 103, 100, 44, 27, 
##     39, 56, 63, 64, 67, 41, 48, 51, 59, 70, 93, 120, 168, 179, 
##     200, 217, 206, 221, 216, 223, 209, 210, 213, 202, 171, 171, 
##     209, 203, 196, 183, 175, 172, 168, 163, 160, 153, 167, 168, 
##     169, 170, 171, 173, 175, 174, 176, 175, 174, 174, 172, 172, 
##     171, 175, 171, 172, 175, 172, 175, 171, 172, 174, 170, 172, 
##     172, 175, 199, 216, 253, 260, 254, 270, 241, 231, 213, 195, 
##     184, 174, 157, 78, 46, 27, -9, -36, -44, -53, -48, -17, -25, 
##     -17, -2, 15, 7, 52, 46, 56, 138, 151, 200, 192, 211, 266, 
##     242, 308, 275, 281, 280, 256, 200, 209, 219, 211, 222, 267, 
##     286, 291, 266, 268, 262, 260, 179, 160, 107, 93, 38, 21, 
##     -16, -27, -36, -44, -37, -31, 17, 9, 30, 62, 66, 63, 130, 
##     215, 179, 243, 253, 251, 269, 262, 257, 245, 247, 254, 242, 
##     240, 250, 196, 189, 203, 227, 242, 265, 271, 253, 267, 235, 
##     240, 241, 253, 240, 257, 249, 262, 256, 232, 172, 167, 102, 
##     93, 80, 78, 67, 19, -27, -46, -32, -3, 13, 19, 33, 41, 81, 
##     101, 123, 225, 224, 253, 256, 247, 268, 275, 267, 233, 226, 
##     237, 239, 261, 266, 274, 297, 293, 287, 262, 250, 227, 163, 
##     154, 92, 86, 72, 23, 12, -24, -35, -46, -38, -21, -8, 1, 
##     45, 62, 118, 196, 206, 195, 169, 250, 236, 277, 273, 271, 
##     273, 280, 255, 258, 232, 216, 215, 216, 214, 212, 212, 250, 
##     267, 267, 274, 286, 283, 249, 216, 161, 98, 87, 77, 54, 37, 
##     24, -31, -70, 276, 291, 296, 297, 282, 289, 270, 244, 186, 
##     167, 134, 61, 36, 29, -10, -63, -65, -77, -76, -60, -49, 
##     -25, 8, 29, 41, 78, 127, 210, 134, 114, 111, -90, -84, -89, 
##     -82, -62, -63, -27, -19, 12, 17, 5, 3, 2, -2, -8, -10, -6, 
##     -11, -22, -33, -33, -32, -33, -35, -34, -33, -36, -36, -37, 
##     -42, -40, -38, -38, -39, -38, -39, -38, -33, -36, -42, -34, 
##     -41, -46, -49, -50, -61, -52, -61, -57, -52, -54, -54, -49, 
##     -46, -41, -27, -19, -24, -30, -39, -53, -50, -49, -61, -63, 
##     -64, -66, -101, -104, -98, -99, -108, -117, -141, -162, -148, 
##     -172, -159, -165, -168, -162, -154, -142, -142, -147, -149, 
##     -147, -144, -147, -148, -142, -134, -130, -102, -81, -65, 
##     -74, -51, -42, -63, -71, -47, -44, -29, -13, -19, -18, -20, 
##     -28, -20, -22, -25, -32, -35, -39, -37, -38, -25, -22, -21, 
##     -22, -18, -10, -34, -32, -36, -42, -41, -70, -74, -68, -71, 
##     -96, -90, -97, -108, -113, -114, -123, -131, -127, -134, 
##     -129, -133, -23, -18, -11, 2, 9, 17, 20, 7, 7, 8, -9, -4, 
##     -10, -22, -20, -18, -18, -19, -24, -30, -31, -31, -18, -15, 
##     -12, -3, 7, -155, -158, -160, -171, -159, -155, -146, -147, 
##     -145, -129, -98, -47, -19, -20, -18, 9, 2, 5, 8, -13, 7, 
##     10, -9, 20, 8, -4, -9, -10, -55, -46, -36, -23, -27, -26, 
##     -23, -21, -30, -29, -29, -26, -31, -34, -30, -23, -20, -13, 
##     10, 3, -14, -28, -62, -64, -79, -88, -96, -112, -115, -118, 
##     -139, -141, -132, -148, -152, -152, -153, -156, -159, -161, 
##     -169, -175, -200, -191, -187, -187, -187, -184, -174, -166, 
##     -166, -172, -172, -168, -167, -166, -161, -150, -126, -114, 
##     -83, -48, -53, -31, -27, -27, -33, -24, 5, 13, -8, 2, -14, 
##     -21, -52, -54, -62, -73, -85, -81, -81, -103, -117, -114, 
##     -125, -125, -134, -143, -150, -152, -157, -166, -166, -174, 
##     -177, -175, -174, -173, -172, -169, -167, -158, -161, -13, 
##     -18, -22, -21, -21, -22, -23, -24, -21, -22, -16, -11, -5, 
##     1, 0, 1, 5, 10, 17, 13, 6, -6, -2, -43, -52, -69, -66, -101, 
##     -113, -119, -116, -119, -140, -146, -148, -151, -156, -160, 
##     -157, -161, -167, -167, -168, -174, -175, -171, -170, -162, 
##     -160, -152, -152, -149, -143, -142, -132, -107, -84, -60, 
##     -46, -11, -20, -35, -29, -15, -40, -34, -19, -15, -20, -30, 
##     -29, -34, -30, -31, -33, -31, -24, -23, -24, -27, -26, -28, 
##     -28, -31, -15, -8, 3, 0, 1, 3, 4, -6, -13, -42, -81, -92, 
##     -87, -101, -130, -134, -138, -143, -141, -144, -146, -144, 
##     -144, -146, -152, -152, -152, -157, -155, -155, -154, -153, 
##     -161, -159, -160, -164, -165, -165, -158, -158, -158, -153, 
##     -149, -148, -145, -136, -125, -62, -32, -46, -45, -28, -27, 
##     -31, -13, -6, -10, -1, 8, -6, -15, 10, 5, 18, 7, -15, 2, 
##     0, -17, -15, -11, -9, -18, -18, -17, -20, -28, -37, -36, 
##     -36, -39, -40, -41, -40, -39, -29, 9, 0, -16, 8, -2, -11, 
##     -14, -60, -79, -83, -84, -101, -110, -112, -115, -122, -130, 
##     -134, -142, -144, -151, -159, -160, -160, -153, -149, -149, 
##     -153, -148, -146, -146, -146, -142, -139, -137, -134, -124, 
##     -114, -70, -61, -145, -140, -142, -141, -101, -61, -50, -23, 
##     -42, -20, -32, -26, 9, 8, -2, 3, -5, -7, -7, -1, -13, -12, 
##     -10, -10, -15, -28, -33, -36, -38, -3, -3, -7, -4, -3, -21, 
##     -25, -24, -20, -21, -29, -33, -34, -33, -1, 3, 4, -11, -11, 
##     -33, -34, -30, -51, -78, -77, -74, -72, -83, -88, -93, -97, 
##     -101, -101, -95, -101, -106, -108, -104, -111, -120, -119, 
##     -122, -124, -135, -137, -141, -147, -148, -147, -146, -145, 
##     -136, -138, -136, -123, -126, -116, -93, -47, -63, -31, -22, 
##     -14, -22, -23, -24, -26, -31, -29, -31, -31, -32, -34, -34, 
##     -35, -35, -33, -35, -34, -32, -33, -35, -35, -37, -35, -33, 
##     -33, -84, -82, -73, -75, -47, -47, -28, -3, 4, -8, -15, 2, 
##     16, -6, 4, -4, -8, -17, -16, -27, -24, -20, -17, -9, 0, -8, 
##     -8, -20, -19, -11, -25, -14, -21, -43, -50, -58, -69, -70, 
##     -67, -77, -95, -106, -93, -90, -91, -89, -109, -113, -76, 
##     -70, -67, -67, -94, -108, -117, -121, -129, -122, -126, -124, 
##     -116, -112, -111, -111, -96, -91, -86, -83, -78, -71, -82, 
##     -86, -80, -63, -55, -56, -62, -69, -63, -51, -48, -44, -29, 
##     -38, -41, -45, -63, -70, -68, -63, -67, -68, -65, -69, -84, 
##     -87, -86, -85, -84, -88, -115, -111, -113, -109, -102, -110, 
##     -107, -104, -105, -116, -132, -138, -137, -135, -112, -87, 
##     -70, -70, -63, -40, -40, -39, -36, -17, -24, -12, -3, -9, 
##     -13, -17, -25, -24, -43, -47, -48, -56, -68, -72, -75, -80, 
##     -61, -58, -59, -62, -62, -65, -58, -61, -64, -64, -54, -51, 
##     -52, -45, -47, -49, -47, -47, -60, -63, -64, -48, -63, -69, 
##     -78, -81, -88, -88, -99, -97, -108, -111, -107, -115, -117, 
##     -129, -131, -136, -136, -135, -145, -152, -152, -140, -142, 
##     -144, -158, -150, -143, -143, -137, -130, -121, -115, -108, 
##     -84, -75, -43, -22, -24, -23, -21, -18, -13, -10, -4, -15, 
##     -40, -44, -19, -23, -24, -31, -42, -48, -35, -47, -48, -50, 
##     -68, -43, -47, -50, -59, -58, -52, -36, -33, -32, -28, -30, 
##     -28, -27, -27, -31, -30, -22, -20, -23, -142, -139, -140, 
##     -139, -138, -138, -136, -136, -138, -127, -123, -121, -118, 
##     -114, -113, -107, -96, -85, -85, -74, -77, -67, -55, -50, 
##     -41, -60, -60, -61, -66, -70, -72, -71, -69, -70, -72, -70, 
##     -70, -66, -50, -21, -30, -25, -36, -38, -39, -47, -59, -53, 
##     -60, -61, -93, -104, -106, -121, -139, -132, -138, -136, 
##     -133, -162, -162, -159, -173, -191, -190, -202, -198, -196, 
##     -193, -193, -181, -184, -188, -188, -191, -193, -194, -189, 
##     -189, -186, -172, -168, -160, -157, -150, -138, -129, -113, 
##     -80, -77, -51, -41, -39, -22, -18, -28, -30, -21, -25, -16, 
##     -19, -30, -40, -38, -47, -51, -52, -43, -41, -38, -47, -51, 
##     -39, -35, -33, -9, -32, -29, -38, -45, -51, -50, -73, -82, 
##     -129, -138, -140, -153, -162, -168, -171, -176, -181, -182, 
##     -191, -185, -202, -207, -209, -207, -193, -198, -194, -189, 
##     -186, -185, -186, -182, -179, -180, -177, -175, -176, -174, 
##     -160, -141, -144, -122, -111, -88, -61, -31, -40, -49, -55, 
##     -58, -49, -51, -22, -32, -36, -35, -27, -42, -40, -41, -41, 
##     -36, -39, -40, -39, -46, -48, -50, -48, -41, -24, -53, -63, 
##     -48, -40, -45, -52, -56, -77, -82, -87, -100, -110, -114, 
##     -133, -134, -142, -145, -171, -168, -181, -185, -186, -182, 
##     -184, -203, -40, -47, -43, -33, -39, -40, -40, -41, -27, 
##     -27, -13, -9, -18, -32, -40, -37, -33, -42, -46, -38, -28, 
##     -19, -2, -5, -23, -38, -45, -45, -48, -49, -57, -65, -62, 
##     -64, -81, -84, -83, -82, -112, -136, -137, -146, -154, -164, 
##     -178, -181, -193, -191, -185, -183, -186, -182, -183, -183, 
##     -176, -174, -172, -169, -165, -164, -157, -147, -143, -129, 
##     -106, -93, -93, -100, -59, -49, -52, -55, -51, -51, -49, 
##     -48, -45, -29, -25, -24, -7, -4, -7, -41, -61, -77, -89, 
##     -97, -104, -114, -117, -123, -124, -125, -127, -132, -134, 
##     -143, -142, -152, -167, -170, -170, -184, -185, -187, -180, 
##     -177, -174, -176, -161, -148, -141, -136, -131, -118, -112, 
##     -108, -91, -90, -86, -77, -71, -69, -58, -29, -40, -30, -24, 
##     -42, -51, -55, -49, -25, -34, -34, -46, -74, -35, -44, -40, 
##     -35, -37, -55, -56, -53, -49, -46, -40, -19, -15, -24, -33, 
##     -39, -34, -31, -26, -28, -35, -50, -51, -64, -78, -83, -85, 
##     -89, -97, -100, -105, -111, -122, -147, -144, -142, -155, 
##     -157, -195, -182, -177, -173, -173, -174, -166, -168, -170, 
##     -156, -145, -145, -138, -114, -110, -108, -91, -87, -55, 
##     -51, -47, -17, -9, -36, -33, -38, -33, -27, -29, -35, -39, 
##     -36, -36, -41, -37, -41, -43, -41, -36, -31, -24, -3, 14, 
##     15, 3, -3, -7, -16, -22, -26, -51, -54, -47, -48, -60, -67, 
##     -73, -96, -23, -23, -25, -34, -31, -112, -110, -102, -97, 
##     -109, -118, -117, -130, -134, -136, -131, -129, -122, -122, 
##     -114, -110, -121, -113, -108, -93, -91, -10, -17, -21, -40, 
##     -48, -51, -45, -47, -41, -45, -41, -45, -44, -39, -27, -21, 
##     -28, -29, 0, -13, -21, -18, -19, -31, -46, -56, -48, -50, 
##     -72, -64, -95, -82, -80, -89, -90, -96, -105, -109, -116, 
##     -110, -115, -115, -124, -124, -130, -125, -125, -120, -123, 
##     -119, -119, -119, -114, -114, -112, -110, -108, -108, -112, 
##     -111, -107, -105, -102, -100, -99, -101, -98, -101, -93, 
##     -97, -92, -98, -99, -102, -45, -50, -46, -41, -24, -27, -26, 
##     -25, -42, -47, -46, -48, -44, -43, -46, -47, -46, -45, -46, 
##     -49, -52, -191, -182, -199, -199, -195, -195, -192, -189, 
##     -185, -184, -184, -161, -160, -156, -143, -136, -109, -110, 
##     -99, -83, -81, -83, -68, -58, -39, -60, -40, -33, -40, -41, 
##     -47, -49, -48, -26, -28, -33, -50, -48, -53, -55, -58, -53, 
##     -54, -54, -12, -10, -24, -22, -43, -67, -78, -97, -107, -100, 
##     -88, -91, -86, -87, -95, -106, -108, -120, -120, -117, -110, 
##     -108, -128, -55, -34, -49, -16, -41, -40, -42, -40, -43, 
##     -78, -69, -66, -63, -67, -65, -66, -69, -62, -70, -77, 276, 
##     277, 291, 280, 260, 269, 267, 249, 252, 234, 221, 222, 238, 
##     273, 272, 272, 280, 273, 271, 186, -70, -50, -22, -7, 18, 
##     29, 62, 73, 140, 125, 173, 203, 212, 207, 233, 279, 269, 
##     249, 254, 269, 277, 277, 273, 275, 260, 254, 257, 244, 241, 
##     269, 272, 278, 283, 296, 246, 240, 193, 173, 134, 113, 102, 
##     88, 69, 63, 51, 30, -26, -47, -33, -8, 9, 0, 33, 33, 49, 
##     96, 100, 157, 159, 160, 165, 181, 182, 180, 178, 178, 173, 
##     169, 173, 172, 173, 174, 173, 177, 174, 171, 175, 174, 174, 
##     246, 240, 230, 214, 206, 192, 169, 166, 163, 160, 140, 133, 
##     117, 127, 60, 11, 35, 46, 53, 65, 54, 60, 60, 87, 110, 138, 
##     153, 167, 199, 203, 38, 29, 23, 4, -13, -22, -43, -62, -64, 
##     -56, -45, -37, -25, -22, -14, -1, 8, 15, 38, 63, 91, 108, 
##     149, 157, 173, 204, 201, 212, 199, 206, 210, 210, 203, 191, 
##     181, 181, 178, 176, 172, 171, 168, 164, 162, 161, 160, 158, 
##     171, 201, 217, 221, 232, 231, 231, 227, 194, 191, 192, 191, 
##     190, 184, 176, 173, 170, 163, 167, 167, 163, 165, 159, 159, 
##     162, 163, 166, 191, 194, 191, 178, 173, 137, 130, 123, 105, 
##     93, 86, 85, 81, 71, 64, 66, 60, 56, 52, 45, 29, 24, 25, 26, 
##     19, 20, 18, 14, 29, 201, 179, 124, 89, 76, 59, 51, 42, 35, 
##     -1, 0, 13, 17, 33, 64, 84, 95, 117, 147, 160, 189, 188, 189, 
##     175, 170, 169, 170, 173, 171, 170, 171, 170, 177, 188, 202, 
##     214, 217, 243, 262, 258, 257, -82, -189, -200, -183, -165, 
##     -147, -144, -109, -81, -72, -76, -51, -32, 2, 31, 48, 54, 
##     69, 78, 82, 85, 91, 71, 70, 77, 54, 41, 32, 24, 89, 109, 
##     89, 86, 78, 72, 47, 50, 48, 27, 21, 12, 4, -3, -1, 2, 2, 
##     4, 19, 15, 19, 10, 13, 6, 7, 16, 17, 62, 72, 64, 69, 60, 
##     50, 52, 31, 73, 61, 159, 150, 158, 152, 148, 150, 154, 165, 
##     197, 197, 197, 190, 183, 155, 123, 109, 92, 88, 182, 165, 
##     152, 124, 107, 104, 96, 88, 68, 63, 51, 38, 35, 13, 9, 5, 
##     -3, -14, -34, -36, -66, -94, -67, -52, -56, -33, -67, -83, 
##     -88, -93, -100, -99, -94, -86, -90, -94, -91, -90, -78, -62, 
##     -58, -55, -34, 0, 10, 45, 73, -69, -69, -51, -46, -29, -14, 
##     27, 46, 49, 131, 140, 149, 147, 158, 160, 159, 163, 177, 
##     170, 184, 159, 155, 159, 160, 141, 129, 86, 72, 42, 42, 12, 
##     7, -22, -28, -57, -72, -93, -85, -81, -65, -58, -61, -51, 
##     -52, -53, -58, -54, 65, 63, 45, 33, 26, 22, 2, -7, -14, -19, 
##     -45, -55, -64, -69, -66, -59, -48, -57, -53, -45, -38, -38, 
##     51, 115, 114, 114, 114, 113, 112, 112, 112, 113, 115, 118, 
##     118, 122, 122, 133, 147, 152, 156, 159, 164, 173, 173, 173, 
##     135, 96, 90, 78, 129, 147, 151, 154, 146, 142, 118, 101, 
##     98, 85, 77, 66, 52, 34, 24, 10, 3, -4, -29, -39, -44, -46, 
##     -47, -33, -27, -17, 142, 153, 164, 155, 142, 141, 143, 134, 
##     137, 121, 124, 127, 124, 123, 132, 141, 140, 143, 144, 152, 
##     153, 159, 146, 138, 126, -186, -131, -115, -69, -38, -35, 
##     -13, 11, 20, 30, 53, 58, 67, 70, 72, 74, 66, 66, 68, 65, 
##     46, 36, 18, 4, -5, 2, -3, -4, -5, -6, -7, -11, -4, -2, 1, 
##     3, 19, 23, 20, 28, 39, 30, 32, 32, 40, 36, 33, 9, 10, -8, 
##     -10, -4, -11, -21, -20, -28, -32, -11, -5, -14, -11, -13, 
##     -6, 8, 8, 11, 11, 23, 21, 28, 35, 31, 25, 21, 18, 15, 17, 
##     18, 12, 14, 11, 7, -4, 0, -2, 1, 6, 6, 5, 12, 15, 18, 21, 
##     20, 20, 27, 32, 37, 31, 24, 6, -3, -3, -7, 4, -19, -28, -38, 
##     -47, -47, -28, -24, -14, -12, -6, -15, -17, -9, -10, -3, 
##     -6, -4, 3, 4, -7, 12, 10, 16, 21, 16, 16, 14, 14, 12, -2, 
##     2, -1, -4, 3, 4, 1, -11, -11, -13, -15, -19, -16, -16, -11, 
##     -13, -5, -4, 4, 21, 16, 16, 18, 15, 0, 12, 6, -8, -3, 1, 
##     2, -6, 0, 8, 5, 6, 3, -4, 0, 3, -4, -7, -8, -8, -2, 2, 12, 
##     20, 24, 34, 26, 29, 35, 27, 23, 17, 10, 8, -5, -18, -27, 
##     -32, -46, -40, -40, -40, -42, -38, -32, -16, -13, -17, -12, 
##     -10, -7, -4, 7, 35, 9, 23, 23, 26, 41, 38, 12, 15, 3, 10, 
##     -1, -2, 3, 7, 4, 4, -3, -6, -8, -9, -7, -6, -4, 7, 13, 13, 
##     15, 34, 37, 38, 22, 21, 16, 13, -15, -6, -20, 6, -6, 6, 2, 
##     1, 14, 28, 26, 12, 7, 9, 13, 11, 13, 15, 12, 10, 11, 13, 
##     2, -1, -4, -3, -1, 3, 8, 9, 9, 23, 15, 34, 35, 17, 20, 23, 
##     11, 11, 18, 7, -12, -25, -32, -33, -13, -10, 0, 4, 3, -2, 
##     14, 28, 24, 12, 16, 25, 29, 34, 45, 36, 14, 21, 8, 6, 5, 
##     2, 5, 8, 3, 4, 7, 14, 19, 27, 49, 55, 58, 47, 41, 27, 25, 
##     20, -1, -24, -33, -31, -25, -41, -42, -18, 13, 8, -12, 19, 
##     27, 44, 53, 47, 41, 51, 54, 37, 19, 10, 10, 3, 4, 1, 2, 2, 
##     6, 4, 4, 6, 9, 8, 9, 19, 28, 29, 28, 37, 40, 37, 33, 16, 
##     29, 30, 23, 16, 20, -16, -35, -27, 230, 230, 218, 204, 193, 
##     180, 178, 158, 156, 147, 151, 166, 179, 213, 217, 233, 217, 
##     216, 208, 181, 170, 160, 143, 135, 125, 118, 81, 70, 65, 
##     57, 51, 34, 31, 19, 11, 6, 10, 8, 2, -5, -26, -34, -35, -29, 
##     -19, -20, -2, -6, 27, 55, 101, 157, 180, 204, 221, 219, 217, 
##     229, 231, 227, 207, 209, 207, 204, 192, 191, 186, 185, 180, 
##     162, 150, 148, 150, 190, 220, 247, 254, 261, 264, 255, 248, 
##     243, 209, 200, 188, 173, 159, 140, 131, 85, 64, 53, 43, 26, 
##     12, -15, -19, -29, -57, -46, -40, -39, -8, 0, 6, 0, 41, 44, 
##     78, 92, 127, 135, 139, 202, 207, 210, 216, 214, 212, 216, 
##     218, 198, 171, 167, 169, 168, 168, 178, 187, 198, 202, 225, 
##     227, 230, 230, 231, 232, 227, 221, 218, 207, 198, 194, 188, 
##     183, 157, 116, 104, 89, 72, 66, 58, 55, 38, 35, 14, -23, 
##     -26, -38, -44, -74, -77, -72, -68, -57, -33, -35, -29, 0, 
##     1, 10, 36, 41, 101, 118, 138, 152, 168, 175, 162, 163, 160, 
##     157, 160, 174, 187, 192, 192, 182, 180, 176, 155, 179, 173, 
##     171, 169, 166, 163, 164, 164, 160, 158, 154, 155, 164, 168, 
##     172, 185, 192, 197, 204, 202, 176, 171, 149, 88, 74, 68, 
##     58, 56, 60, 77, 79, 88, 111, 125, 136, 174, 175, 179, 181, 
##     182, 175, 171, 172, 167, 164, 165, 163, 156, 155, 153, 154, 
##     160, 169, 173, 189, 193, 189, 188, 162, 147, 142, 130, 120, 
##     102, 88, 58, 49, 51, 47, 46, 67, 59, 66, 83, 87, 126, 134, 
##     141, 141, 146, 169, 158, 177, 175, 165, 163, 143, 142, 137, 
##     137, 144, 150, 165, 166, 181, 193, 189, 191, 189, 163, 152, 
##     146, 135, 130, 120, 101, 93, 81, 58, 48, 50, 47, 48, 46, 
##     47, 63, 60, 61, 65, 76, 90, 91, 99, 111, 145, 150, 153, 158, 
##     159, 159, 174, 177, 172, 174, 172, 162, 158, 157, 165, 180, 
##     187, 199, 194, 179, 167, 147, 138, 120, 109, 102, 85, 62, 
##     59, 52, 49, 50, 57, 56, 56, 56, 62, 66, 70, 73, 75, 84, 93, 
##     99, 157, 158, 160, 163, 172, 179, 182, 187, 206, 205, 204, 
##     200, 198, 194, 190, 171, 124, 112, 76, 74, 73, 72, 73, 72, 
##     76, 85, 86, 101, 132, 168, 173, 170, 160, 181, 190, 183, 
##     182, 189, 177, 178, 177, 167, 157, 154, 153, 151, 150, 146, 
##     151, 153, 166, 184, 193, 199, 202, 201, 36, 28, 22, 20, 12, 
##     3, -5, -28, -37, -48, -54, -63, -70, -116, -102, -90, -79, 
##     -86, -91, -87, -76, -67, -55, -44, -14, 8, 29, 85, 114, 131, 
##     134, 136, 164, 161, 176, 182, 183, 181, 173, 184, 179, 170, 
##     170, 162, 159, 159, 160, 156, 154, 159, 167, 170, 183, 185, 
##     189, 198, 185, 119, 106, 86, 77, 54, 47, 40, 38, 4, -4, -12, 
##     -20, -31, -48, -55, -79, -91, -97, -100, -97, -87, -76, -64, 
##     -38, -13, 17, 37, 70, 100, 122, 129, 157, 162, 159, 177, 
##     172, 183, 180, 168, 175, 174, 165, 155, 153, 154, 143, 142, 
##     143, 143, 139, 140, 142, 174, 181, 177, 183, 146, 114, -17, 
##     -12, -6, 12, 103, 119, 132, 133, 139, 149, 150, 146, 140, 
##     130, 129, 122, 123, 122, 123, 124, 107, 102, 101, 100, 96, 
##     97, 101, 104, 107, 114, 113, 112, 108, 107, 104, 90, 83, 
##     89, 90, 94, 100, 104, 106, 95, 86, 84, 87, 94, 93, 112, 118, 
##     118, 119, 114, 111, 100, 103, 84, 78, 89, 79, 84, 80, 79, 
##     88, 97, 95, 96, 98, 96, 90, 99, 103, 93, 95, 94, 97, 95, 
##     97, 98, 95, 92, 89, 102, 106, 105, 110, 115, 110, 106, 111, 
##     110, 102, 118, 97, 105, 101, 100, 92, 98, 99, 100, 99, 97, 
##     92, 91, 96, 98, 111, 111, 105, 103, 103, 103, 104, 108, 106, 
##     106, 108, 110, 111, 110, 111, 111, 109, 108, 109, 111, 110, 
##     111, 108, 107, 105, 104, 108, 112, 110, 110, 112, 122, 126, 
##     123, 122, 123, 130, 132, 124, 128, 124, 80, 84, 77, 48, 26, 
##     2, 5, 8, 29, 29, 67, 67, 91, 131, 157, 138, 156, 162, 144, 
##     148, 130, 124, 129, 135, 139, 137, 135, 138, 143, 143, 144, 
##     139, 144, 140, 139, 144, 142, 138, 131, 120, 103, 88, 74, 
##     71, 66, 46, 29, 19, 19, 27, 32, 38, 40, 53, 94, 121, 119, 
##     123, 140, 148, 167, 169, 180, 164, 154, 149, 142, 139, 97, 
##     101, 118, 119, 106, 122, 152, 147, 173, 175, 160, 180, 193, 
##     177, 168, 160, 139, 148, 160, 161, 164, 160, 159, 150, 137, 
##     137, 127, 105, 92, 79, 76, 63, 60, 60, 49, 48, 35, 40, 46, 
##     65, 81, 82, 93, 110, 119, 110, 115, 145, 146, 141, 141, 142, 
##     139, 138, 134, 135, 136, 135, 136, 135, 130, 132, 139, 140, 
##     146, 154, 163, 157, 151, 137, 134, 132, 133, 106, 98, 88, 
##     80, 70, 46, 29, 22, 21, 16, 14, 12, 9, 8, 16, 26, 32, 38, 
##     37, 88, 103, 119, 123, 120, 124, 142, 140, 156, 151, 137, 
##     141, 142, 126, 135, 152, 158, -20, -40, -61, -62, -57, -50, 
##     -36, -10, 13, 21, 27, 67, 156, 177, 212, 211, 255, 262, 257, 
##     253, 228, 234, 247, 261, 253, 247, 231, 230, 225, 216, 212, 
##     209, 204, 218, 230, 282, 299, 303, 290, 290, 239, 224, 182, 
##     157, 86, 73, 50, 21, -4, -12, -25, -65, -73, -62, -56, -57, 
##     -58, -21, 5, 80, 70, 94, 145, 168, 174, 162, 150, 154, 225, 
##     284, 266, 268, 275, 273, 260, 268, 267, 271, 249, 241, 225, 
##     214, 258, 259, 265, 275, 288, 281, 258, 185, 124, 41, 44, 
##     38, 34, 11, -40, -48, -53, -31, -22, 11, 28, 62, 150, 192, 
##     221, 221, 262, 254, 264, 264, 246, 249, 235, 231, 232, 227, 
##     217, 218, 211, 219, 214, 196, 191, 162, 168, 170, 172, 171, 
##     174, 172, 172, 173, 175, 170, 170, 164, 165, 168, 166, 168, 
##     170, 169, 172, 168, 170, 167, 165, 168, 169, 171, 176, 183, 
##     190, 194, 201, 204, 205, 211, 210, 203, 203, 219, 213, 188, 
##     180, 175, 165, 162, 147, 68, 66, 92, 104, 92, 78, 74, 73, 
##     81, 107, 121, 132, 137, 202, 194, 186, 204, 184, 182, 196, 
##     198, 196, 186, 184, 178, 172, 176, 183, 184, 159, 156, 170, 
##     173, 175, 181, 201, 198, 201, 215, 210, 203, 165, 163, 144, 
##     120, 93, 85, 74, 75, 86, 88, 96, 94, 87, 80, 90, 89, 88, 
##     129, 129, 165, 221, 220, 192, 186, 192, 194, 191, 178, 187, 
##     197, 192, 165, 166, 174, 170, 176, 186, 200, 208, 208, 212, 
##     222, 214, 196, 168, 137, 69, 74, 89, 85, 100, 89, 108, 86, 
##     109, 120, 159, 192, 167, 202, 194, 181, 161, 160, 194, 199, 
##     208, 215, 229, 242, 232, 224, 171, 154, 149, 136, 110, 96, 
##     81, 78, 91, 95, 101, 88, 101, 106, 158, 192, 180, 194, 202, 
##     161, 170, 187, 189, 213, 236, 258, 233, 218, 204, 200, 190, 
##     171, 169, 193, 194, 214, 232, 235, 224, 189, 187, 170, 155, 
##     142, 127, 124, 125, 85, 82, 94, 83, 84, 81, 87, 104, 119, 
##     151, 178, 208, 197, 212, 217, 206, 219, 196, 191, 184, 180, 
##     181, 182, 177, 185, 197, 224, 200, 190, 164, 150, 129, 104, 
##     82, 68, 65, 56, 61, 69, 75, 68, 59, 63, 63, 65, 105, 126, 
##     133, 221, 224, 195, 213, 209, 205, 206, 200, 190, 190, 212, 
##     211, 193, 181, 183, 181, 207, 214, 249, 245, 238, 228, 196, 
##     130, 81, 82, 89, 91, 87, 89, 101, 104, 114, 143, 156, 159, 
##     169, 188, 183, 205, 204, 201, 215, 194, 203, 205, 226, 231, 
##     211, 199, 188, 181, 192, 228, 230, 230, 238, 237, 165, 152, 
##     108, 101, 75, 66, 68, 69, 70, 76, 96, 107, 144, 144, 132, 
##     133, 172, 199, 200, 211, 227, 233, 233, 219, 213, 211, 196, 
##     196, 201, 209, 213, 217, 224, 223, 222, 170, 129, 134, 106, 
##     84, 86, 85, 97, 86, 101, 164, 194, 165, 195, 194, 225, 227, 
##     215, 226, 221, 199, 178, 179, 186, 198, 231, 241, 233, 240, 
##     203, 178, 171, 163, 140, 108, 80, 101, 84, 90, 87, 69, 71, 
##     76, 91, 108, 102, 91, 100, 126, 123, 171, 156, 202, 197, 
##     167, 168, 173, 173, 169, 165, 159, 158, 160, 164, 163, 162, 
##     159, 161, 163, 169, 170, 168, 163, 172, 168, 166, 165, 162, 
##     167, 166, 163, 163, 165, 171, 167, 166, 168, 171, 35, 45, 
##     51, 80, 84, 107, 132, 168, 267, 239, 254, 238, 255, 283, 
##     285, 284, 259, 244, 222, 213, 233, 252, 261, 265, 271, 246, 
##     197, 196, 151, 129, 108, -42, -27, -12, -11, 0, 12, 25, 31, 
##     35, 17, 14, 9, 4, -9, -7, -18, -20, -10, -22, -21, -26, -42, 
##     -50, -36, -18, -5, 8, 0, -10, -4, -13, 26, 23, 5, -1, -14, 
##     0, -5, -14, -7, -10, -16, -28, -32, -31, -29, -29, -30, -30, 
##     -25, -26, -26, -23, -149, -152, -156, -160, -165, -167, -163, 
##     -166, -160, -163, -160, -162, -160, -157, -135, -131, -123, 
##     -109, -89, -73, -51, -36, 22, 30, 43, 53, 41, 47, 57, 53, 
##     45, 41, 29, 15, 8, 34, -3, -42, -53, -53, -61, -63, -62, 
##     -55, -58, -62, -52, -41, -15, 7, -20, -22, -31, -50, -37, 
##     -39, -27, -19, -18, -29, -34, -25, -21, -11, -1, 12, 4, -11, 
##     -4, -16, -19, -25, -37, -38, -41, -44, -45, -39, -40, -42, 
##     -37, -35, -43, -48, -46, -50, -52, -55, -71, -68, -63, -60, 
##     -60, -59, -53, -53, -53, -47, -31, -31, -25, -19, -26, -34, 
##     -33, -47, -68, -75, -60, -77, -88, -98, -85, -85, -87, -87, 
##     -98, -110, -90, -99, -97, -105, -101, -103, -109, -105, -98, 
##     -93, -95, -97, -98, -92, -77, -69, -81, -82, -41, -47, -43, 
##     -41, -43, -46, -24, -37, -36, -18, -26, -31, -33, -25, -16, 
##     -16, -17, -23, -25, -25, -33, -31, -30, -35, -35, -25, -25, 
##     -25, -24, -24, -21, -18, -18, -17, -6, -7, -15, -11, -15, 
##     -20, -12, -24, -42, -57, -64, -60, -65, -62, -75, -69, -79, 
##     -70, -81, -77, -81, -88, -84, -81, -93, -92, -97, -98, -95, 
##     -99, -87, -101, -100, -90, -98, -95, -85, -89, -69, -64, 
##     -51, -48, -4, 2, -8, -10, -12, -15, -18, -22, 7, 16, 4, 4, 
##     -5, -10, -4, -2, 1, -3, -1, -13, -16, -18, -23, -28, -38, 
##     -46, -68, -72, -78, -75, -73, -80, -83, -81, -84, -76, -79, 
##     -78, -80, -77, -90, -84, -79, -87, -84, -79, -68, -82, -57, 
##     -53, -84, -55, -18, -17, -17, -17, -24, -37, -20, -11, -15, 
##     -37, -46, -38, -35, -38, -42, -43, -34, -30, -29, -35, -40, 
##     -40, -41, -37, -16, -16, -33, -40, -41, -39, -43, -58, -47, 
##     -54, -57, -60, -76, -79, -73, -74, -77, -79, -79, -95, -86, 
##     -86, -87, -99, -93, -93, -91, -84, -82, -86, -93, -95, -89, 
##     -74, -73, -51, -51, -48, -50, -13, -25, -13, 1, -18, -21, 
##     -20, -22, -25, -34, -37, -37, -37, -38, -38, -38, -32, -31, 
##     -31, -31, -28, -27, -26, -31, -28, -24, -24, -28, -28, -23, 
##     -21, -30, -34, -52, -56, -61, -81, -82, -74, -73, -76, -80, 
##     -80, -84, -83, -85, -88, -89, -97, -88, -95, -50, -45, -45, 
##     -46, -34, -40, -41, -41, -41, -44, -42, -40, -38, -33, -26, 
##     -21, -20, -26, -35, -32, -40, -29, -32, -40, -41, -35, -39, 
##     -54, -45, -58, -64, -66, -66, -70, -77, -83, -86, -84, -96, 
##     -99, -93, -92, -87, -89, -91, -84, -82, -93, -86, -102, -87, 
##     -83, -78, -71, -56, -36, -26, -26, -19, -16, -37, -39, -30, 
##     -34, -37, -23, -19, -20, -23, -24, -38, -42, -43, -51, -50, 
##     -48, -45, -34, -20, -15, -18, -6, -21, -28, -27, -29, -41, 
##     -37, -49, -64, -71, -75, -76, -81, -84, -87, -85, -84, -81, 
##     -84, -79, -75, -68, -65, -85, -83, -79, -83, -59, -30, -28, 
##     -32, -25, -16, -21, -21, -10, -5, -7, 0, -13, -15, -19, -20, 
##     -32, -34, -31, -27, -22, -22, -18, -18, -20, -20, -22, -11, 
##     -11, -10, -9, -11, -5, -6, -17, -20, -25, -45, -34, -20, 
##     -36, -49, -60, -71, -74, -77, -86, -90, -94, -63, -59, -79, 
##     -79, -74, -73, -71, -76, -72, -69, -89, -86, -52, -62, -49, 
##     -40, -31, -29, -7, -10, -20, -5, 14, 23, -30, -28, -22, -22, 
##     -18, -22, -23, -29, -94, -90, -83, -81, -78, -84, -98, -86, 
##     -76, -77, -49, -30, -29, -33, -45, -33, -38, -38, -32, -31, 
##     -80, -37, -42, -5, -11, 4, -11, -16, 29, 10, -9, -15, -9, 
##     -10, -22, -17, -6, -56, -58, -57, -52, -50, -51, -50, -52, 
##     -54, -55, -51, -51, -48, -46, -42, -38, -41, -47, -52, -47, 
##     -44, -41, -27, -29, -44, -48, -48, -52, -52, -7, -5, -10, 
##     -4, 12, 15, 8, 5, -12, -32, -37, -48, -90, -91, -96, -89, 
##     -91, -106, -111, -123, -139, -146, -147, -146, -154, -161, 
##     -156, -161, -175, -163, -166, -166, -157, -160, -155, -151, 
##     -126, -79, -67, 4, -7, 12, -17, -6, 20, -22, -18, -21, -37, 
##     -36, -35, -51, -59, -67, -81, -107, -108, -110, -105, -126, 
##     -117, -123, -133, -145, -119, -126, -136, -140, -150, -157, 
##     -147, -154, -172, -179, -184, -192, -193, -182, -175, -164, 
##     -165, -163, -16, -22, -22, -24, -25, -27, -29, -34, -37, 
##     -39, -42, -43, -34, -26, -23, -17, -14, -13, 3, 7, 11, 13, 
##     15, 6, -18, -21, -30, -23, -41, -131, -133, -133, -137, -144, 
##     -149, -168, -181, -192, -190, -193, -200, -203, -201, -196, 
##     -189, -182, -183, -180, -180, -181, -176, -169, -162, -153, 
##     -149, -145, -138, -133, -132, -125, -117, -117, -118, -91, 
##     -87, -64, -45, -31, -29, -31, -22, -28, -19, -25, -27, -35, 
##     -23, -23, -26, -36, -37, -38, -44, -57, -35, -41, -55, -49, 
##     -43, -23, 7, 24, 29, 23, 24, 12, 4, -11, -21, -31, -41, -57, 
##     -70, -79, -83, -92, -99, -106, -107, -110, -116, -113, -140, 
##     -145, -148, -158, -164, -188, -182, -170, -152, -150, -148, 
##     -151, -154, -158, -164, -159, -158, -145, -143, -136, -118, 
##     -112, -91, -65, -59, -48, -35, -44, -41, -36, -29, -21, -26, 
##     -31, -53, -57, -52, -52, -35, -34, -38, -32, -32, -36, -38, 
##     -40, -53, -37, -48, -61, -63, -63, -58, -43, -35, -15, 5, 
##     1, -1, -197, -184, -184, -177, -172, -171, -176, -175, -176, 
##     -175, -177, -175, -173, -170, -159, -151, -148, -141, -135, 
##     -127, -125, -109, -107, -84, -61, -75, -73, -55, -53, -53, 
##     -52, -40, -34, -32, -14, -28, -44, -56, -57, -54, -56, -61, 
##     -64, -67, -73, -67, -80, -65, -77, -76, -96, -100, -105, 
##     -106, -104, -100, -100, -88, -80, -83, -80, -78, -77, -67, 
##     -61, -56, -48, -50, -48, -44, -39, -44, -46, -54, -41, -53, 
##     -54, -61, -66, -68, -61, -58, -62, -63, -53, -53, -53, -53, 
##     -48, -40, -33, -34, -31, -24, -25, -32, -42, -50, -61, -74, 
##     -76, -76, -67, -60, -53, -60, -74, -88, -95, -100, -100, 
##     -105, -111, -118, -107, -100, -96, -95, -92, -90, -93, -90, 
##     -80, -73, -61, -60, -48, -56, -56, -61, -54, -53, -61, -59, 
##     -51, -66, -63, -48, -38, -34, -43, -45, -62, -71, -62, -34, 
##     -32, -43, -55, -52, -46, -22, -37, -44, -51, -52, -58, -52, 
##     -52, -56, -58, -69, -55, -45, -49, -56, -45, -44, -64, -68, 
##     -67, -67, -73, -78, -77, -50, -45, -49, -55, -62, -38, -40, 
##     -45, -45, -111, -113, -115, -111, -87, -87, -82, -76, -80, 
##     -74, -65, -42, -41, -35, -40, -52, -52, -42, -41, -37, -23, 
##     -32, -44, -52, -63, -69, -53, -47, -55, -58, -60, -61, -59, 
##     -56, -56, -34, -29, -32, -34, -36, -42, -42, -52, -52, -54, 
##     -57, -48, -54, -61, -64, -62, -65, -68, -65, -71, -83, -38, 
##     -29, -26, -30, -35, -40, -40, -40, -46, -49, -50, -59, -85, 
##     -87, -95, -94, -95, -102, -111, -69, -81, -90, -98, -104, 
##     -111, -110, -96, -94, -100, -101, -99, -98, -100, -89, -91, 
##     -87, -83, -76, -74, -81, -78, -66, -73, -44, -41, -48, -45, 
##     -19, -13, -10, -17, -23, -25, -41, -50, -33, -31, -28, -29, 
##     -38, -48, -21, -26, -35, -32, -33, -36, -47, -68, -86, -99, 
##     -120, -122, -130, -138, -145, -144, -151, -162, -160, -165, 
##     -183, -185, -194, -143, -138, -137, -132, -120, -116, -112, 
##     -110, -105, -84, -78, -66, -52, -40, -23, -25, -61, -66, 
##     -48, -42, -17, -14, -7, -1, -22, -20, 165, 169, 177, 189, 
##     227, 231, 235, 257, 262, 260, 216, 71, 47, 38, 40, 34, 17, 
##     0, -5, 20, 27, 197, 199, 196, 191, 185, 167, 172, 171, 155, 
##     152, 154, 158, 162, 159, 158, 167, 169, 168, 177, 173, 175, 
##     168, 163, 163, 166, 165, 164, 160, 157, 163, 164, 170, 173, 
##     178, 178, 174, 170, 168, 166, 162, 154, 175, 177, 190, 197, 
##     183, 187, 191, 184, 175, 175, 166, 165, 167, 163, 162, 159, 
##     155, 99, 86, 78, 82, 85, 88, 94, 94, 94, 109, 118, 135, 166, 
##     169, 159, 177, 176, 184, 187, 195, 188, 193, 181, 178, 178, 
##     179, 186, 197, 213, 212, 216, 220, 224, 221, 222, 218, 217, 
##     216, 207, 202, 196, 190, 185, 171, 171, 169, 168, 163, 161, 
##     160, 156, 153, 153, 158, 166, 4, 0, 4, 4, 5, 9, 31, 29, 36, 
##     27, 10, 10, 8, 9, -37, -50, -51, -55, -48, -41, -37, 11, 
##     15, 11, 1, -22, -33, -40, -39, -29, -23, -17, -18, -19, -10, 
##     -1, 11, 10, -3, 12, 35, 25, 24, 53, 55, 51, 51, 7, 4, 10, 
##     6, 4, 9, 11, 9, 10, -4, -12, -15, -34, -41, -29, -27, -26, 
##     -21, -11, -6, -3, -14, -9, -9, -8, -16, -19, 17, -1, -8, 
##     -10, -28, -48, -51, -51, -34, -36, -39, -17, -22, -18, -20, 
##     -20, -25, -22, 7, 21, -3, 9, 17, 6, -4, 1, -2, -2, -8, -9, 
##     -13, -7, -7, -1, 13, 23, 30, 31, 24, 10, 6, 8, 1, 137, 146, 
##     161, 151, 151, 149, 149, 150, 146, 138, 132, 126, 110, 108, 
##     108, 111, 106, 85, 46, 27, 21, 17, 15, 16, 17, 24, 26, 35, 
##     50, 49, 109, 66, 33, 25, -3, -7, -10, -22, -37, -45, -50, 
##     -68, -78, -89, -93, -77, -77, -83, -84, -67, -49, -41, 132, 
##     130, 130, 123, 121, 109, 103, 100, 94, 89, 58, 45, 34, 32, 
##     22, 20, 9, 4, -6, -35, -44, -49, -41, -21, -23, -23, -9, 
##     -5, 8, 8, 12, 34, 58, 84, 88, 131, 140, 136, 146, 151, 159, 
##     164, 159, 164, 175, 168, 165, 148, 141, 129, 111, 109, 82, 
##     74, 64, 62, 63, 56, 52, 33, 22, 3, -5, -14, -49, -43, -26, 
##     -33, -28, -24, -23, -20, 43, 44, 51, 40, 30, 7, -3, -50, 
##     -57, -40, -29, -18, -13, 33, 58, 60, 66, 78, 87, 103, 127, 
##     136, 134, 128, 134, 136, 135, 140, 138, 136, 132, 130, 121, 
##     112, 100, 93, 80, 73, 67, 71, 60, 54, 41, 34, 28, 19, 12, 
##     1, -6, -23, -50, -48, -27, -28, -26, -21, -19, -8, 1, 5, 
##     34, 39, 46, 54, 64, 81, 69, 72, 97, 99, 135, 138, 122, 130, 
##     -43, -32, -33, -16, -7, -20, -9, 11, 25, 24, 24, 20, 24, 
##     32, 31, 32, 38, 29, 24, 23, 8, 10, 5, 6, 2, 0, -5, -7, 6, 
##     2, 15, 33, 26, 22, 31, 26, 22, 33, 19, 20, 7, 6, 14, 6, -7, 
##     -7, -32, -36, -40, -30, -31, -19, -10, -11, -8, -5, 3, 3, 
##     57, 48, 46, 24, 11, 8, 8, 11, 1, -1, -3, 3, -1, -2, -2, 5, 
##     1, -6, -2, 1, -4, -4, -3, -4, -5, -44, -94, -94, -85, -68, 
##     -35, 17, 16, 23, 24, 56, 49, 30, 21, 37, 41, 42, 47, 38, 
##     18, 22, 11, 20, 23, 16, 17, 22, 24, 30, 25, 25, 23, 5, -4, 
##     -27, -33, -38, -45, -68, -83, -86, -91, -86, -79, -64, -72, 
##     -45, -45, -38, -28, 6, 14, 19, 19, 18, 25, 21, 23, -7, -13, 
##     -33, -44, -54, -63, -78, -93, -99, -101, -90, -71, -53, -53, 
##     -57, -38, -30, -24, -27, -3, -5, 27, 24, 30, 39, 36, 37, 
##     34, 36, 28, 24, 13, 21, -5, -5, 1, 1, 2, 2, 3, 4, 8, 5, 5, 
##     1, -4, -9, -42, -48, -49, -54, -78, -80, -90, -103, -98, 
##     -92, -85, -87, -77, -69, -38, -35, 4, 11, -117, -116, -82, 
##     -99, -88, -87, -94, -72, -51, -48, -57, -48, -33, -21, 15, 
##     4, 19, 23, 9, 8, 35, 19, 21, 27, 33, 25, 26, 24, 19, 12, 
##     10, 11, 0, -3, -3, -3, -2, -4, -3, 3, 8, 8, 4, 2, 8, 7, 1, 
##     -2, -4, -5, -19, -33, -42, -50, -56, -61, -71, -86, -97, 
##     -98, -5, -4, -6, -7, -4, -2, 2, 1, 7, 5, 4, -11, -20, -23, 
##     -30, -34, -50, -78, -87, -101, -92, -73, -62, -60, -74, -36, 
##     -35, -31, -19, 2, 25, 20, 21, 31, 22, 19, 33, 21, 11, 21, 
##     13, 16, 22, 19, 9, 5, -4, -7, -8, -4, -7, 1, 2, 4, 5, -1, 
##     -6, -14, -12, -12, -24, -23, -37, -54, -62, -75, -69, -102, 
##     -85, -88, -81, -80, -70, -49, -27, -12, -5, -9, -1, 19, 13, 
##     37, 26, 12, 1, 8, 10, 16, 6, 13, 9, 7, 3, -14, -16, -35, 
##     -53, -64, -75, -81, -111, -116, -112, -113, -101, -91, -90, 
##     -80, -74, -62, -56, 26, 16, 51, 59, 46, -103, -102, -104, 
##     -107, -107, -77, -82, -73, -78, -62, -57, -82, -80, -40, 
##     -45, -35, -75, -91, -92, -95, -95, -100, -91, -95, -103, 
##     -119, -111, -110, -107, -106, -109, -105, -110, -105, -98, 
##     -88, -87, -62, -52, -45, -35, -33, -41, -37, -40, -42, -34, 
##     -21, -14, -22, -19, -11, -27, -33, -58, -60, -59, -79, -85, 
##     -104, -105, -101, -100, -97, -84, -80, -78, -74, -74, -75, 
##     -73, -75, -82, -89, -98, -105, -114, -124, -138, -133, -128, 
##     -139, -140, -143, -152, -167, -127, -140, -140, -128, -131, 
##     -146, -151, -159, -153, -141, -142, -126, -124, -126, -99, 
##     -101, -73, -62, -44, -32, -32, -69, -76, -60, -53, -48, -56, 
##     -58, -56, -70, -68, -52, -47, -49, -43, -38, -39, -48, -47, 
##     -53, -55, -59, -63, -70, -75, -69, -65, -62, -86, -95, -102, 
##     -107, -114, -115, -115, -118, -132, -132, -133, -143, -147, 
##     -149, -145, -147, -147, -135, -139, -128, -120, -118, -96, 
##     -88, -67, -68, -66, -69, -72, -73, -71, -57, -53, -57, -61, 
##     -66, -69, -68, -57, -54, -54, -61, -61, -66, -70, -73, -81, 
##     -82, -81, -78, -101, -128, -136, -135, -134, -128, -132, 
##     -140, -148, -149, -152, -153, -157, -159, -153, -161, -166, 
##     -157, -148, -149, -150, -145, -142, -139, -130, -136, -142, 
##     -125, -108, -89, -70, -69, -62, -54, -50, -61, -48, -50, 
##     -59, -57, -50, -57, -56, -57, -63, -63, -58, -59, -58, -63, 
##     -72, -74, -75, -87, -86, -86, -86, -108, -99, -106, -103, 
##     -86, -74, -85, -90, -87, -82, -73, -54, -57, -56, -53, -57, 
##     -63, -67, -70, -72, -69, -57, -58, -57, -64, -99, -103, -108, 
##     -110, -118, -131, -139, -137, -149, -151, -156, -159, -148, 
##     -145, -141, -134, -135, -133, -138, -139, -141, -143, -132, 
##     -125, -121, -115, -100, -81, -76, -65, -68, -71, -73, -53, 
##     -58, -60, 177, 161, 155, 151, 144, 106, 101, 84, 81, 57, 
##     55, 57, 58, 52, 56, 58, 67, 76, 116, 135, 163, 165, 183, 
##     178, 190, 180, 178, 176, 176, 173, 174, 169, 165, 161, 155, 
##     152, 152, 150, 157, 164, 164, 175, 181, 187, 188, 185, 188, 
##     189, 168, 165, 128, 129, 110, 98, 94, 75, 68, 59, 49, 50, 
##     50, 51, 51, 48, 51, 60, 63, 86, 120, 119, 127, 166, 160, 
##     175, 190, 185, 178, 176, 177, 180, 181, 175, 171, 171, 160, 
##     153, 145, 148, 150, 150, 151, 154, 158, 175, 179, 185, 187, 
##     189, 194, 184, 171, 167, 158, 150, 134, 190, 192, 182, 165, 
##     161, 170, 168, 171, 171, 163, 160, 160, 159, 158, 160, 166, 
##     178, 177, 176, 187, 189, 191, 193, 197, 195, 194, 196, 194, 
##     189, 188, 190, 189, 181, 162, 131, 93, 91, 92, 86, 68, 59, 
##     55, 48, 45, 37, 35, 32, 58, 71, 85, 93, 134, 147, 162, 160, 
##     158, 167, 175, 179, 191, 196, 189, 213, 199, 156, 153, 150, 
##     144, 146, 146, 144, 149, 155, 166, 174, 181, 189, 208, 207, 
##     209, 207, 183, 184, 179, 163, 158, 151, 140, 77, 64, 56, 
##     56, 53, 45, 38, 33, 27, 27, 24, 28, 59, 70, 82, 89, 139, 
##     142, 152, 160, 188, 176, 167, 174, 182, 188, 189, 191, 167, 
##     153, 147, 151, 150, 155, 160, 167, 173, 185, 214, 211, 206, 
##     196, 184, 173, 167, 149, 138, 129, 117, 84, 71, 67, 54, 45, 
##     48, 36, -2, 12, 31, 30, 67, 82, 86, 92, 107, 153, 162, 172, 
##     170, 177, 179, 184, 179, 181, 188, 183, 166, 173, 181, 184, 
##     192, 175, 164, 150, 147, 151, 151, 167, 208, 213, 212, 208, 
##     201, 197, 173, 166, 152, 108, 96, 57, 56, 54, 45, 36, 6, 
##     -8, 1, 10, 13, 27, 53, 72, 84, 138, 153, 158, 186, 190, 206, 
##     193, 182, 195, 199, 185, 168, 155, 153, 152, 147, 146, 145, 
##     145, 145, 167, 175, 187, 214, 213, 212, 202, 194, 184, 162, 
##     154, 139, 105, 77, 68, 59, 52, 50, 44, 39, 10, -11, 5, 3, 
##     -6, -2, 6, 48, 64, 76, 105, 164, 164, 173, 187, 190, 191, 
##     199, 204, 211, 216, 198, 191, 177, 179, 172, 155, 150, 151, 
##     152, 154, 155, 161, 166, 172, 173, 178, 186, 202, 208, 207, 
##     212, 217, 219, 217, 193, 187, 163, 158, 151, 125, 94, 86, 
##     73, 62, 16, 3, -2, -5, 3, 13, -1, 0, 11, 17, 27, 78, 79, 
##     130, 135, 168, 182, 178, 192, 199, 206, 198, 196, 190, 189, 
##     190, 159, 154, 147, 148, 153, 153, 164, 42, 17, 14, 22, 26, 
##     44, 63, 73, 97, 156, 176, 201, 205, 206, 214, 201, 193, 209, 
##     205, 199, 134, 120, 109, 83, 68, 58, 36, 16, -6, -6, 38, 
##     91, 88, 132, 143, 174, 155, 165, 158, 163, 158, 127, 121, 
##     126, 134, 140, 139, 141, 135, 136, 141, 137, 141, 141, 146, 
##     151, 155, 148, 98, 85, 76, 64, 60, 40, 33, 31, 21, 2, -2, 
##     -4, -15, -17, -12, -2, 2, 23, 54, 79, 86, 88, 107, 131, 127, 
##     154, 160, 164, 167, 161, 156, 147, 138, 125, 140, 142, 138, 
##     143, 141, 142, 144, 144, 138, 138, 150, 147, 142, 143, 144, 
##     142, 124, 112, 108, 90, 82, 68, 46, 15, 6, -2, -8, -9, -5, 
##     -3, 10, 14, 23, 34, 63, 83, 136, 152, 166, 168, 173, 166, 
##     159, 167, 181, 176, 149, 133, 136, 145, 157, 155, 163, 162, 
##     157, 165, 154, 157, 146, 81, 68, 68, 61, 40, 30, 9, 3, 9, 
##     15, 39, 34, 54, 64, 83, 102, 110, 131, 151, 175, 172, 177, 
##     162, 152, 145, 147, 150, 154, 153, 151, 152, 165, 166, 161, 
##     149, 139, 125, 116, 107, 68, 59, 62, 23, 20, 19, 8, -2, 16, 
##     12, 19, 49, 95, 127, 138, 151, 163, 153, 156, 137, 141, 138, 
##     135, 130, 126, 123, 117, 123, 122, 119, 119, 125, 127, 125, 
##     127, 127, 126, 125, 125, 121, 120, 120, 123, 123, 121, 123, 
##     125, 127, 132, 135, 136, 138, 142, 140, 143, 147, 153, 153, 
##     133, 100, 92, 61, 76, 73, 94, 103, 111, 106, 123, 133, 139, 
##     136, 142, 145, 136, 136, 131, 128, 123, 119, 85, 81, 67, 
##     55, 47, 32, 17, 4, -3, -38, -49, -51, -39, -38, -32, -27, 
##     -23, -5, 12, 25, 62, 67, 80, 114, 116, 135, 147, 145, 137, 
##     135, 136, 147, 145, 139, 136, 134, 111, 95, 86, 28, -20, 
##     -35, 30, 44, 59, 57, 94, 80, 79, 119, 165, 159, 219, 191, 
##     195, 224, 236, 257, 269, 234, 217, 199, 189, 149, 146, 150, 
##     162, 170, 174, 180, 180, 178, 175, 170, 169, 169, 170, 174, 
##     168, 167, 171, 173, 172, 174, 174, 171, 170, 170, 171, 176, 
##     173, 169, 171, 172, 169, 167, 172, 175, 172, 170, 173, 170, 
##     168, 169, 168, 170, 170, 166, 168, 172, 174, 172, 177, 175, 
##     171, 171, 169, 167, 173, 174, 171, 170, 174, 173, 196, 193, 
##     197, 195, 203, 199, 195, 203, 171, 167, 107, 99, 104, 115, 
##     116, 112, 104, 101, 110, 111, 102, 108, 124, 119, 112, 97, 
##     99, 106, 104, 103, 116, 131, 134, 128, 114, 106, 101, 135, 
##     133, 131, 125, 91, 90, 93, 50, 30, 14, -12, 2, 22, 33, 32, 
##     27, 35, 34, 66, 85, 78, 61, 118, 142, 136, 147, 147, 162, 
##     164, 155, 155, 148, 140, 139, 143, 143, 149, 144, 147, 149, 
##     134, 102, 92, 87, 78, 83, 54, 35, -1, -3, -6, 24, 24, 44, 
##     84, 90, 96, 113, 116, 110, 102, 145, 163, 151, 179, 182, 
##     182, 158, 142, 151, 149, 151, 154, 155, 149, 144, 128, 119, 
##     113, 103, 91, 82, 70, 53, 20, -15, 0, 13, 26, 14, 34, 32, 
##     27, 68, 72, 164, 146, 172, 158, 177, 185, 168, 170, 160, 
##     156, 150, 152, 149, 149, 139, 122, 113, 78, 44, 23, 4, -13, 
##     -5, -5, -3, 8, 21, 38, 36, 74, 68, 90, 86, 118, 131, 149, 
##     135, 128, 147, 155, 148, 149, 146, 143, 133, 130, 150, 149, 
##     151, 153, 148, 142, 133, 127, 116, 47, 140, 138, 152, 153, 
##     151, 152, 156, 158, 160, 164, 165, 157, 143, 138, 134, 90, 
##     69, 67, 64, 15, -11, -12, 0, 15, 20, 19, 34, 43, 84, 71, 
##     72, 105, 141, 127, 187, 148, 173, 186, 153, 184, 176, 163, 
##     167, 148, 129, 71, 48, 35, 35, 13, -26, -38, 2, 0, 6, 3, 
##     34, 26, 27, 46, 78, 71, 86, 116, 166, 182, 165, 200, 208, 
##     227, 204, 207, 205, 213, 214, 211, 198, 183, 169, 137, 134, 
##     123, 95, 42, 37, 19, 7, -19, -21, -8, 32, 38, 42, 91, 96, 
##     79, 89, 105, 143, 159, 155, 161, 160, 169, 184, 185, 196, 
##     192, 189, 189, 193, 192, 190, 189, 173, 156, 132, 127, 114, 
##     109, 113, 23, 4, 2, -12, -26, -22, -11, -12, -2, 12, 1, 74, 
##     66, 47, 32, -5, 4, 18, 26, 28, 76, 98, 88, 128, 151, 154, 
##     145, 132, 121, 124, 113, 109, -29, -50, -47, -42, -42, -41, 
##     -43, -36, -44, -44, -37, -31, -28, -29, -32, -31, -21, -24, 
##     -25, -34, -31, -32, -26, -22, -24, -25, -24, -29, -36, -37, 
##     -39, -40, -41, -37, -36, -20, 9, 1, 5, 2, -9, -76, -82, -74, 
##     -85, -84, -85, -82, -83, -83, -85, -86, -87, -83, -83, -83, 
##     -86, -78, -65, -61, -54, -40, -38, -26, -22, -13, -22, -20, 
##     -7, -9, -5, -2, -7, -8, -11, -17, -35, -31, -27, -35, -32, 
##     -28, -28, -29, -33, -63, -71, -77, -78, -82, -76, -68, -75, 
##     -87, -80, -80, -80, -81, -80, -69, -70, -78, -69, -71, -73, 
##     -47, -47, -53, -59, -63, -61, -57, -64, -70, -71, -78, -84, 
##     -96, -102, -109, -108, -114, -134, -131, -142, -142, -134, 
##     -129, -62, -66, -61, -61, -62, -60, -61, -65, -65, -63, -65, 
##     -93, -81, -77, -77, -73, -70, -80, -88, -98, -118, -116, 
##     -107, -112, -118, -126, -120, -113, -126, -129, -122, -122, 
##     -118, -110, -107, -104, -109, -103, -83, -114, -96, -62, 
##     -54, -97, -87, -73, -84, -79, -118, -117, -120, -124, -132, 
##     -126, -121, -120, -120, -125, -132, -131, -129, -121, -111, 
##     -105, -114, -97, -82, -88, -88, -81, -70, -55, -41, -80, 
##     -74, -71, -57, -52, -54, -57, -50, -70, -71, -68, -66, -66, 
##     -66, -70, -79, -54, -72, -76, -76, -75, -78, -77, -84, -86, 
##     -89, -103, -106, -114, -113, -105, -109, -115, -116, -115, 
##     -128, -113, -110, -113, -116, -121, -110, -106, -116, -97, 
##     -100, -115, -117, -97, -77, -101, -66, -45, -64, -41, -56, 
##     -60, -70, -81, -66, -60, -68, -70, -69, -66, -69, -49, -56, 
##     -35, -36, -48, -43, -56, -62, -79, -92, -90, -95, -99, -105, 
##     -112, -108, -128, -121, -116, -111, -114, -119, -120, -116, 
##     -111, -111, -110, -104, -104, -99, -93, -104, -69, -59, -47, 
##     -40, -46, -52, -57, -57, -60, -62, -64, -64, -62, -62, -61, 
##     -58, -58, -53, -59, -60, -54, -53, -50, -59, -77, -84, -71, 
##     -54, -56, -71, -44, -61, -63, -17, -27, -40, -42, -47, -53, 
##     -60, -55, -57, -83, -105, -109, -123, -116, -123, -126, -124, 
##     -124, -124, -126, -136, -130, -133, -135, -120, -120, -115, 
##     -128, -108, -110, -108, -102, -93, -94, -87, -68, -83, -81, 
##     -81, -74, -81, -84, -84, -70, -67, -68, -74, -66, -72, -73, 
##     -81, -109, -121, -116, -118, -122, -122, -104, -112, -86, 
##     -90, -41, -55, -48, -47, -46, -31, -24, -50, -39, -34, -62, 
##     -41, -55, -53, -67, -64, -63, -80, -79, -79, -79, -76, -76, 
##     -76, -78, -79, -84, -83, -83, -83, -84, -82, -78, -84, -80, 
##     -73, -79, -66, -70, -71, -64, -59, -48, -45, -50, -32, -40, 
##     -39, -40, -45, -45, -43, -27, -24, -30, -18, -17, -20, -14, 
##     -41, -40, -47, -49, -3, -21, -29, -56, -71, -74, -75, -75, 
##     -66, -69, -75, -79, -91, -76, -78, -83, -89, -91, -97, -95, 
##     -89, -89, -94, -88, -90, -92, -71, -65, -59, -46, -41, -31, 
##     -25, -18, -19, -28, -19, -10, -16, -18, -6, -56, -54, -55, 
##     -67, -85, -81, -80, -79, -78, -78, -76, -98, -84, -91, -95, 
##     -91, -91, -88, -107, -118, -123, -122, -87, -101, -108, -85, 
##     -72, -61, -67, -39, -20, -21, -31, -50, -48, -47, -71, -73, 
##     -78, -65, -54, -47, -45, -38, -51, -103, -101, -102, -105, 
##     -108, -120, -122, -109, -111, -105, -106, -108, -108, -105, 
##     -103, -96, -87, -87, -80, -81, -82, -82, -64, -69, -44, -47, 
##     -48, -56, -53, -50, -50, -70, -71, -56, -59, -61, -57, -65, 
##     -65, -67, -68, -68, -63, -28, -26, -29, -28, -24, -68, -69, 
##     -71, -70, -68, -67, -76, -83, -82, -84, -84, -100, -100, 
##     -98, -98, -100, -121, -123, -122, -119, -118, -124, -125, 
##     -125, -125, -121, -108, -99, -95, -59, -55, -55, -49, -46, 
##     -49, -50, -52, -56, -41, -45, -42, -43, -46, -43, -45, -42, 
##     -41, -44, -48, -55, -61, -67, -50, -62, -79, -78, -75, -68, 
##     -66, -65, -66, -74, -90, -94, -100, -100, -95, -89, -89, 
##     -88, -75, -74, -75, -75, -76, -72, -64, -66, -65, -35, -37, 
##     -40, -39, -27, -24, -40, -61, -66, -68, -64, -55, -56, -62, 
##     -68, -71, -71, -77, -86, -91, -96, -98, -91, -93, -96, -98, 
##     -113, -118, -117, -114, -89, -98, -105, -118, -107, -113, 
##     -125, -137, -145, -147, -149, -146, -136, -140, -132, -128, 
##     -123, -109, -96, -96, -119, -119, -114, -128, -131, -129, 
##     -128, -125, -130, -131, -141, -144, -170, -162, -152, -150, 
##     -148, -145, -144, -144, -132, -131, -122, -118, -113, -109, 
##     -102, -98, -82, -77, -49, -36, -23, -27, -29, -26, -29, -31, 
##     -29, -38, -56, -52, -62, -75, -100, -42, -53, -54, -66, -64, 
##     -64, -59, -57, -47, -49, -49, -54, -56, -56, -60, -60, -53, 
##     -44, -36, -53, -71, -71, -72, -70, -61, -58, -66, -75, -61, 
##     -40, -53, -54, -54, -61, -59, -58, -55, -55, -54, -41, -46, 
##     -35, -53, -50, -50, -49, -40, -36, -59, -55, -51, -52, -60, 
##     -60, -58, -50, -47, -41, -47, -52, -44, -38, -39, -43, -42, 
##     -30, -33, -38, -40, -50, -47, -47, -48, -58, -50, -46, -42, 
##     -42, -42, -48, -51, -39, -41, -54, -67, -75, -76, -76, -76, 
##     -81, -79, -1, 31, 26, 81, 89, 88, 104, 122, 124, 166, 169, 
##     196, 209, 186, 188, 185, 195, 191, 185, 175, 175, 158, 148, 
##     90, 88, 52, 28, 1, 3, 23, 28, 25, 33, 38, 51, 60, 87, 86, 
##     108, 148, 136, 181, 175, 172, 156, 136, 122, 120, 113, 108, 
##     105, 108, 119, 119, 116, 110, 107, 106, 115, 120, 118, 114, 
##     115, 116, 112, 170, 127, 103, 90, 73, 75, 100, 112, 74, 94, 
##     93, 83, 80, 105, 110, 106, 102, 101, 102, 104, 105, 102, 
##     102, 99, 101, 105, 102, 104, 201, 186, 181, 181, 135, 106, 
##     90, 89, 53, 48, 32, 24, 18, 14, 23, 29, 50, 73, 118, 101, 
##     119, 132, 183, 178, 196, 188, 171, 172, 186, 176, 174, 175, 
##     173, 151, 141, 143, 145, 147, 153, 160, 177, 180, 185, 202, 
##     200, 156, 158, 151, 138, 129, 125, 106, 92, 88, 64, 62, 65, 
##     65, 65, 67, 68, 77, 83, 86, 96, 97, 109, 126, 137, 141, 166, 
##     159, 178, 172, 165, 170, 194, 170, 170, 179, 181, 176, 172, 
##     168, 166, 164, 158, 154, 152, 148, 146, 150, 155, 160, 186, 
##     190, 187, 185, 172, 168, 159, 157, 101, 95, 90, 75, 53, 52, 
##     53, 54, 59, 59, 61, 70, 72, 75, 80, 84, 112, 115, 137, 138, 
##     150, 172, 171, 158, 158, 161, -95, -92, -79, -69, -67, -77, 
##     -73, -72, -50, -56, -32, -22, 0, 21, 24, 22, 46, 17, 16, 
##     21, 14, 25, 18, 3, -1, -2, 18, 19, 3, 24, 41, 28, 25, 26, 
##     4, 5, 4, 2, 3, 6, 5, 2, -4, -10, -16, -18, -20, -22, -31, 
##     -14, 17, 45, 44, 29, 38, 41, 37, 29, 20, 20, 18, 12, 9, 0, 
##     -7, -8, -19, -19, -22, -51, -65, -68, -88, -95, -79, -68, 
##     -79, -89, -76, -73, -92, -61, -36, -24, -29, -14, 62, 9, 
##     11, 20, 39, 43, 58, 66, 61, 66, 85, 99, 92, 122, 127, 125, 
##     149, 155, 160, 152, 136, 134, 117, 117, 106, 100, 92, 84, 
##     80, 62, 58, 86, 78, 65, 61, 58, 55, 56, 41, 0, -6, -35, -45, 
##     -44, -47, -43, -39, -22, -21, -11, 8, 23, 43, 53, 55, 44, 
##     52, 55, 67, 78, 96, 131, 133, 143, 150, 158, 159, 180, 175, 
##     178, 189, 192, 188, 185, 181, 174, 168, 171, 173, 168, 168, 
##     162, 157, 153, 150, 130, 128, 129, 127, 124, 126, 126, 127, 
##     129, 128, 126, 186, 162, 193, -149, -144, -139, -137, -138, 
##     -123, -49, 7, 22, 38, 19, -7, -13, -4, 13, -7, 13, 25, 25, 
##     -16, -12, -2, -17, -47, -49, -49, -41, -26, -21, -25, -27, 
##     -15, -10, -8, -10, -10, -21, -30, -35, -53, -75, -88, -132, 
##     -140, -142, -144, -146, -159, -158, -165, -157, -151, -144, 
##     -134, -130, -126, -120, -110, -113, -87, -84, -59, -30, -46, 
##     7, -1, 13, 14, -2, -18, -13, -16, -24, -39, -31, -45, -56, 
##     -35, -75, -74, -66, -53, -48, 0, -6, -13, -7, -13, -11, -10, 
##     3, 19, 18, 17, 22, -13, -71, -103, -114, -129, -147, -154, 
##     -168, -190, -218, -220, -222, -233, -231, -228, -223, -207, 
##     -186, -175, -158, -137, -126, -94, -82, -49, -14, -17, 1, 
##     23, 14, 19, 25, 14, 10, -2, -10, -20, -33, -21, -28, -40, 
##     -40, -42, -45, -105, -116, -144, -158, -180, -194, -210, 
##     -211, -211, -227, -237, -237, 136, 127, 123, 119, 117, 116, 
##     108, 84, 66, 41, 12, 11, -2, -5, -12, -23, -49, -57, -61, 
##     -57, -44, -40, -41, -38, -37, -38, -22, -22, -15, 32, 47, 
##     69, 83, 115, 117, 121, 143, 155, 148, 152, 164, 163, 169, 
##     161, 150, 148, 147, 137, 135, 137, 132, 124, 115, 90, 77, 
##     72, 57, 50, 48, 12, 6, -1, -51, -53, -51, -47, -43, -28, 
##     -23, -25, -22, -21, -21, -3, 7, 17, 35, 46, 60, 60, 90, 87, 
##     97, 121, 135, 140, 154, 152, 149, 156, 157, 162, 163, 142, 
##     137, 129, 114, 92, 82, 74, 62, 50, 46, 43, 33, 28, 24, 11, 
##     7, 0, -49, -59, -69, -74, -69, -58, -44, -37, -32, -26, -21, 
##     -14, 12, 28, 53, 68, 91, 90, 96, 116, 123, 136, 139, 147, 
##     162, 161, 185, 177, 162, 155, 143, 141, 141, 144, 146, 141, 
##     122, 118, 35, 31, 26, 19, 14, 11, 3, -3, -12, -34, -47, -51, 
##     -55, -61, -53, -40, -32, -31, -20, -26, -17, -6, 126, 129, 
##     128, 130, 126, 129, 127, 129, 131, 127, 129, 129, 128, 128, 
##     130, 128, 126, 129, 130, 127, 135, 135, 138, 148, 159, 161, 
##     168, 168, 121, 53, 33, 11, 8, -10, -30, -36, -52, -64, -85, 
##     -92, -100, -100, -99, -73, -71, -72, -80, -82, -83, -87, 
##     -93, -101, -101, -101, -78, -62, -23, -5, 33, 104, 116, 121, 
##     132, 171, 177, 185, 215, 209, 213, 185, 177, 161, 169, 171, 
##     158, 149, 159, 171, 183, 185, 189, 143, 114, 90, 78, 71, 
##     56, 41, 29, 116, 117, 113, 125, 152, 160, 159, 173, 171, 
##     159, 167, 170, 163, 154, 153, 149, 147, 147, 151, 153, 155, 
##     160, 161, 160, 152, 141, 125, 112, 93, 72, 54, 47, 33, 15, 
##     5, -3, -9, -23, -38, -73, -110, -113, -109, -97, -93, -98, 
##     -92, -86, -82, -77, -72, -52, 0, 62, 81, 86, 110, 186, 184, 
##     203, 204, 174, 178, 176, 165, 164, 167, 172, 175, 191, 157, 
##     123, 70, 49, 33, 15, -3, -47, -52, -59, -113, -100, -91, 
##     -90, -87, -84, -78, -79, -67, -66, -32, -4, 13, 34, 39, 50, 
##     93, 105, 150, 155, 181, 186, 177, 163, 163, 162, 157, 159, 
##     170, 176, 183, 180, 167, 161, 146, 129, 116, 100, 88, 52, 
##     39, 31, 22, 0, -11, -21, -30, -39, -41, -72, -94, -109, -127, 
##     -129, -108, -78, -66, -57, -46, -23, -12, 0, 7, 14, 29, 45, 
##     106, 123, 153, 167, 183, 171, 175, 162, 174, 179, 176, 176, 
##     180, 164, 167, 173, 176, 186, 188, 185, 182, 177, 174, 159, 
##     150, 109, 100, 83, 8, -21, -33, -51, -62, -70, -80, -113, 
##     -121, -121, -110, -86, -82, -70, -56, -50, -34, -18, -9, 
##     29, 68, 86, 122, 137, 206, 226, 216, 210, 188, 180, 150, 
##     138, 131, 134, 143, 146, 141, 131, 127, 130, 158, 170, 167, 
##     142, 60, 38, 13, 7, -6, -29, -32, -66, -78, -91, -104, -124, 
##     -143, -126, -121, -118, -112, -103, -69, -60, -46, 27, 27, 
##     42, 68, 133, 135, 174, 180, 153, 192, 46, 63, 20, 25, 20, 
##     19, 23, 14, -6, 4, 7, 10, 11, 18, 20, 22, 26, 25, 23, 21, 
##     13, 5, 3, 5, 25, 45, 45, 104, 93, 82, 41, -56, -61, -74, 
##     -87, -228, -268, -302, -205, -143, -135, -50, 16, 32, 51, 
##     17, 68, 64, 70, 72, 52, 29, 26, 37, 22, 18, 1, -13, -9, 7, 
##     14, 19, 29, 45, 50, 47, 68, 67, 70, 58, 39, 32, 1, -21, -62, 
##     -123, -279, -315, -318, -188, -170, -163, -112, -58, -47, 
##     -19, 52, 33, 51, 82, 85, 84, 88, 80, 85, 71, 72, 54, 13, 
##     19, 30, 29, 31, -2, -2, 0, -2, 40, 46, 66, 72, 75, 66, 55, 
##     39, 40, 48, 40, 47, 1, -9, -63, -92, -301, -153, -140, -66, 
##     -76, -59, -63, -68, -70, -71, -64, -53, -58, -57, -57, -57, 
##     -51, -54, -60, -61, -64, -73, -75, -74, -81, -81, -87, -92, 
##     -102, -106, -105, -109, -112, -115, -126, -127, -129, -140, 
##     -156, -177, -162, -150, -156, -153, -134, -126, -116, -114, 
##     -104, -87, -87, -77, -78, -86, -87, -71, -45, -40, -39, -39, 
##     -47, -44, -49, -61, -68, -64, -65, -66, -67, -68, -69, -67, 
##     -55, -77, -90, -110, -121, -128, -134, -145, -149, -134, 
##     -130, -134, -142, -147, -148, -149, -148, -151, -155, -152, 
##     -145, -148, -149, -148, -152, -131, -106, -96, -94, -87, 
##     -86, -91, -91, -110, -59, -62, -43, -54, -60, -65, -69, -65, 
##     -48, -41, -42, -46, -38, -39, -40, -58, -58, -64, -70, -82, 
##     -86, -91, -101, -101, -102, -104, -97, -104, -119, -122, 
##     -128, -126, -137, -140, -135, -127, -133, -138, -141, -151, 
##     -153, -161, -146, -134, -132, -136, -141, -148, -147, -139, 
##     -134, -137, -135, -127, -94, -87, -105, -105, -114, -116, 
##     -105, -101, -93, -89, -83, -81, -80, -75, -70, -51, -53, 
##     -53, -51, -50, -62, -63, -54, -55, -58, -59, -65, -60, -63, 
##     -62, -63, -70, -75, -78, -91, -108, -112, -112, -119, -122, 
##     -140, -135, -136, -135, -136, -132, -127, -125, -123, -134, 
##     -136, -149, -161, -163, -174, -156, -147, -140, -149, -160, 
##     -163, -163, -157, -157, -146, -143, -133, -134, -140, -124, 
##     -100, -116, -118, -114, -101, -100, -92, -76, -70, -73, -76, 
##     -73, -59, -63, -54, -51, -61, -51, -74, -83, -83, -84, -85, 
##     -85, -83, -76, -71, -57, -57, -60, -59, -57, -57, -55, -57, 
##     -63, -72, -80, -75, -70, -68, -77, -81, -78, -78, -76, -78, 
##     -78, -75, -70, -21, -21, -32, -30, -26, -25, -23, -26, -26, 
##     -29, -33, -36, -47, -54, -57, -85, -94, -97, -108, -117, 
##     -131, -143, -151, -163, -162, -162, -183, -203, -206, -208, 
##     -201, -176, -163, -107, -101, -104, -91, -87, -87, -84, -78, 
##     -72, -74, -70, -69, -60, -57, -54, -51, -55, -57, -60, -65, 
##     -66, -55, -35, -34, -36, -63, -66, -67, -71, -77, -75, -62, 
##     -81, -71, -60, -24, -22, -22, -48, -59, -74, -59, -62, -61, 
##     -67, -72, -89, -109, -108, -103, -106, -104, -115, -123, 
##     -127, -130, -132, -135, -144, -157, -169, -172, -177, -179, 
##     -179, -181, -181, -181, -176, -174, -168, -161, -154, -108, 
##     -96, -98, -99, -91, -82, -82, -67, -64, -67, -60, -47, -47, 
##     -51, -56, -55, -57, -28, -34, -43, -50, -50, -56, -51, -37, 
##     -44, -47, -51, -53, -50, -52, -57, -61, -47, -44, -38, -36, 
##     -53, -59, -80, -83, -106, -126, -138, -134, -137, -144, -149, 
##     -172, -192, -195, -198, -205, -200, -190, -187, -177, -164, 
##     -151, -144, -139, -138, -139, -127, -114, -107, -91, -85, 
##     -76, -91, -77, -75, -81, -71, -72, -72, -47, -49, -48, -44, 
##     -26, -20, -16, -30, -46, -75, -88, -107, -111, -148, -158, 
##     -143, -150, -170, -177, -174, -175, -181, -185, -191, -192, 
##     -182, -171, -154, -148, -145, -142, -140, -138, -132, -129, 
##     -127, -138, -116, -117, -112, -101, -96, -100, -95, -82, 
##     -82, -70, -60, -54, -47, -45, -54, -58, -55, -53, -45, -40, 
##     -48, -58, -64, -65, -55, -60, -79, -94, -84, -83, -82, -86, 
##     -107, -117, -136, -143, -148, -139, -139, -146, -158, -164, 
##     -179, -178, -177, -185, -174, -169, -161, -147, -147, -141, 
##     -136, -132, -122, -115, -96, -84, -106, -84, -27, -30, -26, 
##     -20, -20, -34, -42, -44, -58, -66, -61, -37, -24, -21, -19, 
##     -25, -28, -21, -4, 0, -20, -16, -8, -37, -43, -46, -37, -60, 
##     -69, -73, -94, -112, -144, -145, -151, -147, -154, -161, 
##     -185, -194, -196, -164, -161, -157, -157, -174, -172, -166, 
##     -163, -160, -154, -153, -146, -140, -126, -125, -127, -128, 
##     -107, -109, -109, -111, -107, -85, -82, -62, -73, -71, -100, 
##     -89, -50, -46, -41, -59, -63, -65, -80, -97, -118, -112, 
##     -89, -87, -89, -80, -57, -51, -63, -83, -96, -100, -111, 
##     -113, -131, -133, -133, -136, -136, -142, -163, -173, -185, 
##     -184, -186, -182, -178, -183, -176, -161, -156, -151, -138, 
##     -132, -116, -82, -81, -84, -90, -95, -94, -93, -89, -65, 
##     -60, -61, -61, -67, -64, -56, -49, -54, -67, -78, -79, -68, 
##     -56, -56, -46, 196, 196, 196, 196, 190, 162, 155, 151, 152, 
##     154, 153, 170, 172, 206, 209, 214, 214, 209, 183, 169, 165, 
##     150, 131, 121, 102, 90, 69, 55, -16, -9, -5, -6, -6, -3, 
##     14, 18, 52, 59, 99, 140, 163, 178, 191, 192, 196, 194, 195, 
##     198, 189, 187, 186, 183, 183, 187, 182, 156, 158, 157, 158, 
##     166, 177, 215, 219, 216, 211, 209, 200, 178, 136, 130, 124, 
##     110, 99, 78, 38, 32, 20, -29, -4, -4, 14, 22, 29, 78, 87, 
##     109, 153, 159, 156, 154, 158, 158, 161, 160, 159, 159, 161, 
##     162, 162, 159, 161, 161, 159, 159, 158, 158, 161, 160, 161, 
##     162, 177, 182, 208, 207, 209, 215, 220, 220, 225, 214, 211, 
##     215, 189, 170, 159, 83, 84, 82, 78, 57, 64, 37, 29, 9, 2, 
##     12, 9, 10, 17, 27, 60, 68, 83, 112, 116, 145, 156, 158, 172, 
##     162, 158, 157, 157, 157, 154, 150, 145, 141, 113, 104, 78, 
##     70, 49, 27, 4, 9, 22, 20, 51, 55, 62, 69, 81, 90, 100, 153, 
##     162, 177, 180, 172, 193, 192, 196, 197, 192, 186, 186, 190, 
##     191, 177, 153, 146, 136, 109, 101, 62, 48, 44, 40, 28, 18, 
##     3, -13, -11, 8, 23, 25, 33, 48, 86, 92, 129, 143, 168, 169, 
##     150, 151, 164, 171, 178, 169, 166, 167, 163, 166, 156, 153, 
##     148, 116, 99, 79, 50, 45, 43, 38, -12, -16, -3, -3, 10, 30, 
##     36, 51, 54, 81, 86, 115, 129, 136, 153, 156, 150, 153, 168, 
##     169, 159, 163, 155, 154, 154, 155, 156, 153, 152, 148, 128, 
##     123, 106, 99, 89, 81, 65, 37, 0, 8, 153, 154, 149, 143, 124, 
##     111, 103, 49, 42, 40, 34, 18, -12, -12, -7, 15, 24, 27, 53, 
##     53, 84, 91, 97, 106, 131, 132, 138, 136, 136, 134, 131, 155, 
##     151, 153, 157, 156, 159, 160, 159, 147, 135, 128, 120, 112, 
##     103, 94, 89, 74, 65, 57, 56, 56, 53, 55, 54, 50, 23, 12, 
##     -1, 17, 28, 42, 51, 103, 114, 141, 149, 148, 148, 139, 147, 
##     146, 146, 147, 143, 137, 139, 145, 143, 137, 135, 131, 118, 
##     107, 106, 83, 77, 75, 73, 70, 52, 50, 48, 40, -6, -3, 1, 
##     7, 21, 22, 28, 37, 56, 56, 83, 105, 111, 114, 137, 140, 144, 
##     130, 139, 140, 129, 140, 145, 152, 145, 144, 149, 146, 135, 
##     125, 94, 76, 67, 49, 44, 43, 41, 20, 142, 135, 126, 120, 
##     112, 94, 74, 70, 52, 45, 50, 45, 41, 30, 19, 10, 7, 5, 15, 
##     17, 23, 27, 126, 122, 115, 120, 116, 115, 123, 121, 123, 
##     123, 123, 126, 122, 121, 120, 119, 121, 123, 125, 126, 119, 
##     121, 127, 127, 124, 126, 134, 131, 132, 132, 130, 127, 131, 
##     128, 127, 133, 127, 129, 128, 134, 135, 135, 134, 129, 127, 
##     131, 129, 128, 128, 130, 131, 127, 128, 130, 131, 130, 127, 
##     128, 134, 124, 125, 123, 119, 123, 135, 131, 132, 131, 130, 
##     132, 132, 137, 140, 134, 138, 137, 136, 138, 130, 120, 114, 
##     105, 104, 102, 105, 115, 115, 114, 115, 118, 133, 137, 140, 
##     137, 131, 131, 133, 131, 132, 131, 137, 134, 130, 123, 127, 
##     127, 126, 123, 121, 125, 129, 125, 124, 130, 133, 130, 126, 
##     127, 129, 128, 125, 129, 127, 128, 133, 134, 125, 126, 125, 
##     128, 123, 125, 128, 125, 125, 130, 129, 129, 129, 133, 133, 
##     133, 138, 137, 130, 131, 128, 124, 126, 129, 128, 132, 128, 
##     131, 132, 131, 130, 130, 134, 133, 130, 128, 128, 126, 130, 
##     128, 131, 130, 133, 135, 131, 130, 130, 129, 130, 127, 130, 
##     128, 132, 127, 131, 133, 126, 126, 129, 132, 131, 138, 148, 
##     161, 150, 147, 151, 178, 181, 175, 190, 186, 191, 182, 180, 
##     180, 179, 173, 164, 156, 161, 164, 168, 166, 166, 159, 159, 
##     164, 161, 163, 164, 172, 180, 217, 237, 262, 279, 281, 265, 
##     230, 240, 253, 259, 244, 221, 198, 168, 164, 161, 117, 91, 
##     62, 52, 18, -24, -12, 0, 15, 17, 29, 56, 59, 53, 105, 104, 
##     145, 182, 209, 232, 222, 212, 236, 276, 267, 281, 278, 233, 
##     240, 254, 261, 269, 280, 290, 288, 252, 248, 186, 140, 88, 
##     81, 56, 37, 15, 10, -49, -20, -20, 37, 49, 64, 98, 135, 153, 
##     212, 198, 222, 230, 232, 269, 279, 275, 264, 238, 268, 274, 
##     270, 275, 277, 280, 250, 252, 265, 236, 234, 248, 253, 245, 
##     232, 229, 171, 155, 131, 100, 51, 20, 1, -32, -9, 22, 43, 
##     111, 130, 186, 146, 210, 157, 267, 245, 232, 266, 260, 228, 
##     219, 226, 240, 243, 242, 255, 237, 278, 272, 257, 246, 243, 
##     233, 216, 182, 173, 154, 115, 68, 33, 0, 255, 255, 240, 144, 
##     137, 115, 101, 96, 96, 61, 33, 12, 2, -16, -23, -42, -34, 
##     -18, -17, 13, 21, 31, 81, 91, 119, 172, 205, 216, 218, 229, 
##     268, 239, 244, 269, 256, 239, 234, 215, 172, 152, 104, 26, 
##     15, -6, -59, -37, -42, -44, -47, -51, -57, -66, -65, -58, 
##     -58, -58, -65, -94, -104, -109, -114, -122, -130, -128, -119, 
##     -117, -115, -116, -120, -117, -118, -112, -112, -115, -113, 
##     -105, -105, -98, -99, -89, -83, -98, -85, -71, -77, -70, 
##     -76, -56, -42, -67, -50, -41, -51, -45, -46, -48, -46, -44, 
##     -53, -53, -52, -57, -64, -68, -69, -70, -69, -67, -64, -65, 
##     -66, -68, -50, -56, -60, -54, -71, -72, -78, -82, -100, -112, 
##     -115, -109, -103, -105, -130, -133, -133, -123, -119, -117, 
##     -122, -120, -112, -102, -94, -80, -87, -64, -60, -65, -71, 
##     -63, -60, -28, -37, -46, -34, -67, -61, -67, -86, -65, -66, 
##     -79, -73, -77, -81, -79, -79, -82, -81, -69, -70, -76, -81, 
##     -79, -72, -84, -89, -87, -83, -106, -107, -116, -123, -134, 
##     -134, -137, -138, -139, -135, -134, -127, -128, -136, -130, 
##     -128, -131, -120, -123, -90, -82, -54, -40, -51, -61, -66, 
##     -46, -42, -43, -49, -50, -62, -64, -64, -68, -67, -63, -58, 
##     -61, -59, -55, -54, -55, -60, -66, -65, -77, -77, -72, -101, 
##     -98, -138, -143, -141, -129, -124, -131, -135, -135, -145, 
##     -149, -154, -154, -147, -148, -149, -147, -145, -144, -140, 
##     -141, -138, -134, -135, -136, -141, -140, -128, -125, -121, 
##     -112, -106, -96, -91, -89, -51, 16, 25, 55, 48, 11, -1, -19, 
##     -42, -39, -16, -19, -21, -15, -27, -31, -29, -26, -27, -32, 
##     -33, -33, -40, -46, -52, -51, 0, 7, 10, 6, 0, -5, -11, -16, 
##     -16, -17, -17, -15, -16, -14, -14, -16, -17, -18, -19, -20, 
##     -27, -38, -44, -46, -48, -50, -51, -52, -50, -49, -49, -48, 
##     -46, -59, -60, -59, -58, -57, -55, -55, -54, -52, -41, -37, 
##     -29, -19, -4, -5, -4, -11, -23, -28, -31, -53, -55, -58, 
##     -67, -78, -100, -108, -135, -154, -150, -149, -170, -166, 
##     -172, -183, -185, -185, -185, -172, -178, -169, -172, -165, 
##     -157, -157, -155, -149, -130, -118, -103, -101, -72, -59, 
##     -56, -20, -18, -18, -20, -14, -8, -22, -30, -42, -29, -32, 
##     -50, -82, -85, -104, -119, -126, -140, -150, -167, -182, 
##     -190, -186, -194, -205, -208, -197, -189, -184, -162, -135, 
##     -131, -127, -98, -75, -75, -20, -9, 5, 9, -4, -6, 12, 17, 
##     18, 14, 5, -2, -2, -17, -41, -28, -6, -22, -37, -38, -30, 
##     -30, -27, -28, -19, -15, -9, -11, -20, -19, -27, -24, -25, 
##     -48, -50, -69, -80, -84, -100, -112, -114, -118, -125, -134, 
##     -147, -156, -182, -189, -192, -203, -197, -197, -203, -200, 
##     -192, -185, -174, -171, -167, 13, 21, -3, -4, 11, -21, -27, 
##     -25, -22, -21, -16, -15, -5, -1, -14, -32, -39, -79, -86, 
##     -95, -101, -108, -155, -148, -138, -146, -136, -108, -87, 
##     -77, -47, -21, -25, -21, -6, 13, 34, 35, 45, 43, 1, -3, -8, 
##     -8, -15, -6, -2, 1, 0, -3, -11, -28, -3, -7, -23, 21, 58, 
##     -13, -84, -90, -82, -81, -82, -43, -32, -23, -22, -55, -56, 
##     -57, -58, -58, -63, -63, -64, -57, -52, -47, -38, -37, -34, 
##     -33, -31, -22, -20, -19, -17, 67, 60, 69, 53, 34, 27, 27, 
##     30, 26, 4, -25, -74, -86, -93, -110, -167, -246, -217, -210, 
##     -183, -158, -64, 35, 43, 60, 50, 79, 77, 67, 59, 46, 38, 
##     15, 12, -19, 48, 62, 60, 46, 96, 86, 43, 22, 34, 30, 31, 
##     28, 24, 22, 16, 16, 21, 19, 40, 43, 57, 57, 51, 58, 51, 56, 
##     58, 45, 8, -17, -59, -108, -230, -181, -173, -178, -158, 
##     -137, -53, -34, -14, 36, 75, 49, 68, 66, 40, 44, 48, 52, 
##     53, 53, 46, 46, 22, 0, -11, -11, -3, 2, 10, 14, 18, 49, 61, 
##     64, 75, 66, 67, 61, 61, 56, 32, 29, 17, -9, -19, -26, -35, 
##     -42, -58, -76, -132, -196, -240, -223, -198, -185, -118, 
##     -113, -77, -35, 36, 77, 77, 71, 71, 54, 54, 38, -63, -46, 
##     4, 49, 34, 82, 96, 68, 103, 89, 48, 58, 36, 37, 48, 64, 66, 
##     48, 47, 14, 11, 4, -196, -167, -144, -100, -98, -81, -51, 
##     -26, 34, 47, 54, 58, 72, 52, 40, 26, 29, 30, 38, 46, 21, 
##     25, 34, 41, 33, 4, 4, 7, -3, 72, 64, 56, 43, 41, 27, 21, 
##     -9, -24, -43, -95, -120, -147, -213, -279, -286, -242, 7, 
##     6, 8, 9, 6, 8, 2, 1, 3, 3, -9, 27, 29, 20, 12, 14, 10, 16, 
##     25, 16, 16, 18, 15, 14, 15, 18, 17, 18, 13, 17, 21, 20, 20, 
##     19, 14, 15, 18, 9, 3, 8, -18, -37, -18, 19, 28, 58, 82, 116, 
##     142, 188, 196, 221, 216, 189, 256, 251, 263, 257, 272, 265, 
##     258, 239, 240, 228, 231, 241, 251, 247, 248, 251, 215, 185, 
##     167, 154, 153, 156, 104, 65, -13, -33, -28, -13, 33, 40, 
##     59, 73, 134, 136, 213, 197, -67, -62, -59, -60, -50, -71, 
##     -65, -59, -29, -25, -21, -35, -59, -64, -70, -65, -56, -23, 
##     -44, -44, -44, 6, 15, 27, 38, 54, 56, 103, 158, 198, 187, 
##     166, 232, 218, 201, 193, 240, 227, 258, 280, 283, 277, 245, 
##     248, 261, 261, 259, 246, 228, 224, 217, 215, 205, 160, 59, 
##     24, 1, -1, -4, 20, 25, 41, 84, 72, 127, 145, 130, 201, 150, 
##     165, 183, 187, 235, 208, 170, 115, 85, 54, 31, 7, -3, -31, 
##     -19, 1, 16, 27, 72, 83, 101, 124, 141, 181, 163, 186, 253, 
##     191, 296, 270, 137, 130, 130, 131, 133, 129, 128, 130, 127, 
##     129, 125, 133, 135, 131, 129, 127, 129, 134, 134, 131, 126, 
##     126, 131, 128, 131, 133, 128, 129, 131, 4, 25, 43, 57, 61, 
##     70, 90, 98, 97, 105, 118, 129, 132, 134, 128, 124, 132, 141, 
##     148, 134, 133, 138, 19, 24, 48, 72, 144, 154, 153, 160, 161, 
##     162, 168, 175, 185, 189, 195, 194, 195, 197, 195, 192, 187, 
##     183, 178, 175, 170, 173, 167, 168, 166, 172, 172, 172, 160, 
##     175, 182, 188, 178, 177, 177, 170, 172, 176, 171, 163, 165, 
##     164, 157, 156, 155, 156, -213, -202, -189, -126, -119, 41, 
##     62, 96, 110, 121, 88, 76, 58, 47, 16, 5, -9, -20, -2, -4, 
##     -33, -13, -13, -5, -2, -6, 8, 8, -2, -2, -2, 11, 11, 22, 
##     37, 38, 60, 63, 75, 69, 71, 93, 86, 7, -2, -31, -44, -56, 
##     -76, -142, -218, -251, -245, 49, 47, 43, 47, 92, 1, 14, 18, 
##     76, 79, 81, 71, 71, 30, 2, -7, -83, -125, -188, -194, -153, 
##     -102, 19, 33, 35, 41, 54, 76, 77, 83, 79, 76, 74, 60, 53, 
##     34, 26, -19, -38, -68, -101, -111, -167, -220, -244, -232, 
##     -213, -152, -7, -11, 47, 84, 78, 62, 69, 59, 69, 56, 41, 
##     29, 30, 25, 29, 16, 15, 25, 23, 12, 7, 2, 4, 23, -16, -36, 
##     -59, -79, -107, -113, -103, -96, -83, -86, -76, -68, -35, 
##     51, 71, 99, 115, 145, 147, 179, 176, 197, 190, 182, 155, 
##     163, 180, 175, 172, 174, 169, 183, 187, 168, 161, 156, 153, 
##     153, 158, 161, 158, 145, 140, 121, 112, 73, 58, 48, 32, 31, 
##     -4, 14, -34, -46, -58, -104, -92, -82, -92, -102, -109, -110, 
##     -101, -102, -106, -86, -77, -62, -40, -8, 22, 67, -10, 18, 
##     25, 32, 62, 75, 69, 85, 100, 141, 150, 152, 143, 139, 138, 
##     137, 133, 140, 138, 137, 139, 138, 137, 128, 124, 122, 122, 
##     123, 121, -37, -43, -6, -9, 0, -12, -12, -4, -46, -53, -75, 
##     -81, -124, -125, -132, -139, -151, -162, -169, -182, -181, 
##     -184, -163, -167, -164, -152), accel_arm_z = c(-123, -125, 
##     -126, -123, -123, -122, -125, -124, -122, -124, -123, -123, 
##     -124, -124, -124, -121, -122, -124, -122, -125, -124, -123, 
##     -123, -125, -123, -123, -126, -126, -125, -125, -126, -127, 
##     -126, -126, -124, -123, -124, -125, -122, -123, -125, -124, 
##     -124, -123, -123, -120, -124, -123, -124, -125, -127, -127, 
##     -125, -124, -122, -124, -125, -124, -120, -123, -124, -125, 
##     -121, -123, -125, -125, -124, -125, -122, -122, -123, -123, 
##     -123, -122, -122, -122, -124, -123, -125, -121, -124, -123, 
##     -122, -123, -123, -123, -122, -124, -123, -121, -123, -125, 
##     -125, -123, -123, -122, -122, -126, -122, -122, -124, -125, 
##     -123, -120, -121, -124, -124, -123, -124, -123, -122, -122, 
##     -122, -123, -122, -122, -124, -122, -123, -122, -122, -123, 
##     -120, -123, -123, -124, -123, -123, -124, -124, -122, -122, 
##     -124, -122, -122, -124, -123, -122, -121, -123, -122, -121, 
##     -122, -122, -121, -122, -123, -124, -123, -122, -121, -122, 
##     -122, -121, -120, -120, -122, -122, -122, -122, -122, -123, 
##     -123, -122, -122, -87, -86, -87, -87, -86, -88, -90, -88, 
##     -88, -88, -86, -86, -85, -87, -86, -90, -87, -88, -88, -91, 
##     -89, -87, -87, -88, -88, -87, -87, -88, -85, -86, -88, -85, 
##     -84, -89, -88, -90, -88, -89, -90, -91, -87, -90, -92, 23, 
##     24, 21, 23, 24, 24, 22, 24, 24, 24, 24, 25, 25, 25, 35, 34, 
##     35, 31, 28, 28, 29, 28, 28, 24, 27, 27, 27, 25, 25, 25, 26, 
##     27, 29, 27, 27, 26, 28, 28, 29, 27, 24, 24, 28, 25, 25, 25, 
##     25, 23, 22, 22, 25, 23, 26, 25, 25, 30, 27, 29, 35, 34, 35, 
##     41, 50, 57, 61, 67, 73, 77, 83, 77, 80, 86, 90, 100, 115, 
##     125, 133, 142, 152, 150, 151, 163, 155, 146, 154, 153, 105, 
##     91, 96, 80, 74, 77, 70, 8, -81, -89, -114, -97, -71, -73, 
##     -59, -28, -33, 17, 45, 55, 82, 81, 114, 102, 135, 84, 189, 
##     157, 169, 127, 82, 81, 73, 66, 64, 63, 60, 64, 70, 68, 73, 
##     77, 85, 94, 124, 122, 136, 140, 161, 151, 147, 159, 148, 
##     149, 146, 149, 147, 137, 47, 25, 8, -85, -109, -134, -158, 
##     -158, -119, -34, -26, 10, 16, 24, 22, 57, 51, 51, 62, 87, 
##     93, 78, 75, 97, 151, 129, 149, 126, 129, 118, 97, 87, 63, 
##     41, 33, -5, -28, -64, -130, -136, -124, -105, -85, -63, -40, 
##     -23, 38, 24, 83, 78, 108, 99, 108, 99, 148, 159, 122, 115, 
##     106, 102, 100, 101, 89, 87, 84, 77, 70, 50, 49, 52, 44, 45, 
##     35, 50, 51, 55, 56, 70, 73, 76, 84, 86, 95, 111, 110, 117, 
##     128, 128, 142, 142, 143, 145, 149, 145, 140, 120, 112, 94, 
##     94, 82, 57, 40, 33, -11, -41, -60, -91, -103, -129, -137, 
##     -137, -137, -95, -57, -20, 85, 101, 106, 117, 125, 141, 133, 
##     133, 124, 114, 117, 105, 100, 117, 97, 95, 86, 77, 70, 69, 
##     61, 60, 61, 69, 65, 73, 80, 93, 100, 127, 126, 135, 146, 
##     140, 153, 153, 159, 163, 160, 140, 123, 142, 130, 122, 102, 
##     130, 110, 115, 98, 99, 91, 78, 75, 67, 76, 75, 92, 96, 98, 
##     107, 116, 119, 125, 143, 163, 150, 150, 148, 126, 124, 121, 
##     103, 84, -66, -102, -116, -136, -105, -55, -55, -47, -32, 
##     -2, 1, -12, 43, 66, 89, 103, 84, 93, 106, 144, 126, 147, 
##     141, 139, 113, 99, 105, 106, 94, 90, 98, 88, 74, 86, 96, 
##     94, 99, 102, 109, 121, 141, 146, 166, 146, 141, 125, 120, 
##     95, 72, 9, -31, -62, -92, -87, -87, -36, -23, 37, 75, 84, 
##     85, 101, 154, 167, 156, 154, 144, 144, 155, 138, 135, 120, 
##     97, 101, 84, 76, 62, 22, -7, -67, -91, -121, -126, -100, 
##     -91, -64, -35, 76, 65, 70, 61, 68, 77, 92, 103, 114, 108, 
##     133, 146, 148, 146, 140, 136, 124, 121, 117, 71, 58, -165, 
##     -70, -56, -24, 0, -13, 40, 82, 140, 153, 144, 140, 139, 120, 
##     127, 84, 50, 30, 4, -122, -136, -129, -132, -127, -106, -84, 
##     -57, -47, -49, 8, 132, 97, 145, 154, 128, 144, 115, 114, 
##     119, 98, 107, 97, 87, 98, 85, -123, -121, -104, -96, -87, 
##     -77, -49, -46, -35, 4, -1, 16, 26, 29, 43, 46, 46, 51, 44, 
##     41, 41, 36, 27, 17, 15, 14, 6, 10, 18, 25, 21, 17, 19, 17, 
##     11, 13, 16, 15, 9, 12, 10, 12, 10, 11, 14, 17, 19, 22, 24, 
##     20, 27, 31, 29, 16, 23, 25, 27, 24, 20, 21, 27, 14, 17, 26, 
##     26, 17, 25, 25, 18, 18, 15, 23, 16, 11, 12, 10, 7, 6, 3, 
##     4, 3, 1, -16, -31, -19, -17, -17, -23, -29, -28, -27, -28, 
##     -27, -26, -30, -26, -31, -25, -26, -27, -23, -23, -26, -27, 
##     -28, -32, -30, -31, -33, -31, -26, -28, -30, -31, -32, -32, 
##     -30, -30, -34, -32, -30, -34, -33, -37, -36, -37, -39, -37, 
##     -36, -37, -36, -37, -38, -40, -37, -35, -36, -35, -34, -35, 
##     -39, -35, -39, -38, -40, -37, -39, -35, -37, -39, -38, -37, 
##     -37, -41, -44, -42, -38, -37, -36, -35, -42, -38, -43, -45, 
##     -44, -40, -40, -39, -38, -42, -43, -41, -39, -42, -39, -39, 
##     -40, -40, -38, -39, -38, -43, -45, -46, -45, -47, -46, -50, 
##     -51, -48, -45, -43, -45, -42, -44, -42, -45, -44, -42, -43, 
##     -40, -40, -38, -38, -36, -33, -35, -34, -45, -44, -37, -34, 
##     -34, -12, 37, 55, 48, 71, 71, 88, 54, 58, 49, 55, 24, 41, 
##     45, 32, 41, -33, -46, -106, -34, -29, -29, -25, -27, -29, 
##     -25, -24, -24, -23, -25, -24, -29, -27, -25, -28, -27, -25, 
##     -24, -20, -23, -23, -24, -20, -20, -20, -22, -17, -10, -8, 
##     -8, -7, -9, -12, -10, -12, -5, 3, 13, 7, 3, 5, 10, 11, -129, 
##     -128, -129, -133, -140, -139, -139, -133, -139, -141, -145, 
##     -146, -147, -148, -148, -146, -144, -144, 10, 9, 10, 9, 10, 
##     11, 11, 11, 10, 13, 11, 15, 11, 11, 8, 8, 11, 12, 9, 11, 
##     8, 8, 12, 7, 10, 6, 8, 5, 5, 6, 5, 7, 12, 12, 9, 8, 8, 8, 
##     2, 6, 5, 5, 5, 4, 5, 8, 9, 7, 8, 4, 4, 5, 3, 4, 3, 6, 10, 
##     4, 7, 5, 3, 1, 3, 3, 3, 7, 9, 4, 9, 5, 1, -1, 4, 7, 10, 9, 
##     7, 2, 8, 19, 15, 12, 0, 0, 0, 13, 14, 12, 18, 16, 19, 18, 
##     14, 13, 12, 7, 14, 9, 8, 10, 11, 8, 9, 11, 8, 7, 8, 7, 2, 
##     6, 12, 10, 15, 12, 9, 10, 15, 12, 10, 7, 7, 2, 1, 4, 5, 6, 
##     7, 8, 5, 8, 5, 2, 2, 2, 4, 9, 1, 9, 5, 5, 7, 4, 0, 2, 3, 
##     8, 5, 6, 7, 0, -2, 7, 4, 5, -1, -25, -24, -25, -25, -29, 
##     -27, -24, -29, -28, -29, -29, -33, -33, -32, -32, -33, -32, 
##     -30, -31, -34, -32, -32, -33, -28, -28, -29, -30, -28, -30, 
##     -32, -33, -35, -37, -35, -35, -38, -35, -35, -32, -32, -31, 
##     -27, -25, -19, -17, -23, -24, -24, -28, -30, -30, -27, -36, 
##     -33, -33, -35, -37, -38, -37, -29, 33, 23, 19, -13, -44, 
##     -40, -52, -86, -99, -118, -128, -137, -148, -167, -199, -206, 
##     -209, -211, -210, -215, -216, -218, -217, -216, -209, -200, 
##     -193, -187, -167, -77, -65, -26, -27, -13, 9, 34, 37, 69, 
##     69, 48, 66, 83, 74, 68, 74, 70, 61, 57, 45, 44, 34, 21, 34, 
##     31, 27, 13, 11, -1, -5, -9, -9, -16, -18, -19, -22, -23, 
##     -22, -25, -24, -14, -13, 61, 58, 60, -201, -187, -195, -184, 
##     -176, -173, -184, -164, -147, -142, -105, -104, -73, -47, 
##     -5, -12, 5, 36, 31, 30, 57, 44, 65, 58, 58, 72, 55, 53, 51, 
##     56, 53, 49, 37, 33, 32, 29, 13, 7, 2, 1, -11, -18, -20, -27, 
##     -19, -20, -20, -14, -4, 21, 30, 80, 74, 94, 91, 87, 75, 68, 
##     63, 54, 11, -8, -9, -32, -48, -81, -88, -142, -150, -151, 
##     -157, -161, -158, -160, -159, -157, -162, -160, -163, -154, 
##     -167, -184, -178, -180, -184, -185, -192, -183, -181, -187, 
##     -169, -165, -161, -137, -145, -100, -66, -54, 2, 10, 5, 23, 
##     65, 52, 58, 56, 38, 69, 61, 47, 46, 41, 34, 39, 37, 35, 28, 
##     14, 12, 8, 8, 5, -10, -16, -15, -18, -22, -22, -25, -24, 
##     -26, -25, -9, 2, 17, 47, 79, 79, 85, 108, 103, 108, 96, 77, 
##     64, 24, -12, -24, -59, -99, -103, -103, -119, -127, -146, 
##     -161, -164, -171, -184, -185, -175, -169, -179, -181, -180, 
##     -158, -176, -176, -164, -163, -166, -141, -137, -116, -89, 
##     -53, -30, -19, -26, -15, 9, 12, 16, 48, 60, 56, 65, 67, 62, 
##     60, 41, 36, 21, 18, 24, 15, 4, -2, -5, -16, -13, -28, -24, 
##     -24, -24, -19, -15, -14, 15, 40, 81, 87, 87, 95, 80, 60, 
##     38, 27, 33, 20, -28, -33, 40, 35, 61, 77, 52, 32, 33, 34, 
##     38, 29, 5, -4, -5, -7, -6, -8, -9, -10, -22, -25, -28, -29, 
##     -31, -28, -28, -17, 28, 44, 78, 83, 90, 103, 105, 91, 101, 
##     94, 67, 60, 45, 12, 20, -9, -41, -55, -62, -96, -99, -106, 
##     -107, -121, -122, -156, -166, -171, -180, -177, -184, -184, 
##     -188, -185, -180, -175, -165, -176, -177, -189, -208, -203, 
##     -116, -102, -54, -43, -14, 11, 12, 8, 46, 26, 50, 41, 48, 
##     57, 62, 60, 67, 63, 60, 38, -153, -155, -155, -160, -163, 
##     -165, -171, -168, -168, -173, -169, -164, -171, -172, -164, 
##     -170, -179, -171, -171, -171, -175, -187, -181, -187, -193, 
##     -185, -176, -172, -169, -141, -113, -88, -90, -68, -116, 
##     -106, -100, -108, -96, -97, -111, -107, -106, -101, -106, 
##     -110, -111, -114, -113, -109, -107, -110, -111, -111, -113, 
##     -111, -112, -110, -110, -110, -110, -109, -111, -108, -109, 
##     -110, -108, -108, -109, -108, -108, -108, -112, -109, -108, 
##     -108, -108, -106, -107, -108, -108, -108, -108, -110, -113, 
##     -112, -109, -108, -114, -115, -115, -115, -112, -110, -112, 
##     -112, -112, -112, -110, -112, -111, -113, -112, -112, -111, 
##     -112, -111, -113, -113, -111, -111, -111, -111, -111, -111, 
##     -111, -113, -112, -112, -112, -113, -113, -113, -112, -113, 
##     -111, -112, -112, -113, -113, -112, -111, -112, -113, -112, 
##     -113, -112, -113, -112, -112, -112, -112, -112, -112, -113, 
##     -112, -112, -112, -110, -109, -108, -111, -111, -110, -111, 
##     -110, -109, -112, -110, -112, -112, -113, -111, -110, -113, 
##     -111, -111, -112, -113, -111, -112, -113, -111, -112, -110, 
##     -113, -112, -113, -114, -115, -125, -120, -116, -112, -111, 
##     -111, -113, -119, -119, -119, -121, -121, -122, -125, -124, 
##     -126, -126, -130, -126, -125, -127, -124, -125, -124, -124, 
##     -125, -123, -123, -122, -125, -122, -98, -85, -64, -17, 0, 
##     15, 28, 34, 27, 19, 24, 18, 9, -7, -12, -18, -66, -81, -91, 
##     -104, -122, -136, -164, -201, -249, -297, -339, -248, -87, 
##     -92, -96, -99, -102, -105, -111, -110, -119, -118, -114, 
##     -117, -111, -109, -105, -85, -77, -71, -32, -20, -13, -4, 
##     12, 13, 20, 27, 20, 18, 13, -2, -31, -68, -81, -118, -169, 
##     -189, -297, -328, -374, -395, -406, -409, -402, -372, -374, 
##     -351, -341, -296, -280, -267, -257, -211, -196, -184, -132, 
##     -133, -108, -117, -118, -118, -121, -122, -122, -123, -114, 
##     -109, -108, -99, -81, -54, -49, -22, 15, 18, 16, 16, 18, 
##     -33, -70, -144, -193, -210, -218, -289, -338, -361, -380, 
##     -402, -372, -308, -311, -329, -260, -240, -225, -209, -197, 
##     -126, -124, -122, -68, -22, -28, 4, -422, -420, -406, -359, 
##     -351, -300, -288, -285, -270, -211, -153, -141, -117, -93, 
##     -65, -41, -12, -28, 4, -11, -10, -28, -39, -46, -47, -74, 
##     -78, -102, -110, -110, -115, -122, -133, -133, -142, -142, 
##     -137, -133, -131, -115, -110, -90, -83, -74, -50, -25, -1, 
##     5, 10, 19, 12, 4, -3, -7, -19, -21, -47, -62, -80, -95, -132, 
##     -154, -219, -326, -414, -389, -373, -345, -292, -265, -210, 
##     -164, -124, -107, -51, -59, -25, -13, -24, 6, -15, -19, -19, 
##     -44, -44, -66, -74, -82, -85, -88, -90, -95, -99, -99, -111, 
##     -123, -124, -131, -132, -130, -136, -129, -127, -116, -113, 
##     -110, -74, -27, -22, -7, 16, 26, 42, 27, 17, -5, -53, -91, 
##     -137, -152, -186, -211, -225, -268, -345, -374, -393, -404, 
##     -443, -413, -401, -389, -375, -365, -357, -76, -87, -91, 
##     -100, -109, -114, -136, -139, -144, -146, -148, -147, -151, 
##     -150, -149, -145, -140, -122, -113, -105, -83, -72, -62, 
##     -41, -36, -26, -13, 11, 23, 26, 9, -22, -55, -58, -80, -87, 
##     -99, -140, -160, -222, -426, -391, -384, -374, -346, -252, 
##     -213, -141, -94, -92, -49, -45, -45, -5, -1, 6, 7, 8, -11, 
##     -13, -20, -39, -47, -62, -67, -77, -87, -100, -108, -119, 
##     -123, -125, -124, -120, -121, -115, -98, -92, -77, -60, -52, 
##     -33, -22, -13, -4, 10, 17, 4, 7, -26, -72, -119, -170, -198, 
##     -211, -233, -284, -383, -417, -435, -447, -386, -353, -341, 
##     -320, -229, -214, -199, -128, -121, -65, -34, -37, -4, -18, 
##     -4, -9, -34, -47, -87, -86, -106, -110, -116, -98, -46, -39, 
##     -25, -21, -16, -12, -10, -5, -10, -25, -50, -68, -94, -115, 
##     -126, -139, -142, -173, -185, -193, -246, -278, -308, -415, 
##     -456, -439, -422, -402, -378, -333, -307, -198, -198, -194, 
##     -193, -202, -190, -195, -197, -202, -198, -198, -199, -203, 
##     -200, -198, -194, -194, -193, -195, -195, -191, -192, -194, 
##     -195, -198, -196, -197, -194, -199, -198, -199, -198, -198, 
##     -195, -197, -204, -208, -206, -205, -208, -202, -196, -197, 
##     -197, -195, -192, -190, -188, -196, -200, -205, -214, -217, 
##     -213, -208, -205, -208, -203, -194, -198, -197, -198, -198, 
##     -200, -201, -200, -201, -201, -198, -199, -201, -201, -197, 
##     -196, -195, -201, -201, -198, -199, -196, -197, -196, -192, 
##     -194, -191, -192, -190, -193, -194, -191, -193, -196, -194, 
##     -196, -194, -193, -193, -191, -192, -193, -193, -191, -192, 
##     -194, -193, -195, -192, -193, -191, -193, -192, -191, -193, 
##     -191, -191, -193, -193, -194, -193, -194, -196, -193, -196, 
##     -194, -195, -194, -191, -192, -192, -192, -192, -191, -189, 
##     -193, -193, -194, -193, -197, -194, -196, -193, -193, -194, 
##     -191, -190, -193, -194, -194, -193, -192, -195, -196, -196, 
##     -194, -193, -194, -194, -191, -194, -195, -192, -191, -191, 
##     -191, -188, -194, -191, -192, -194, -194, -194, -194, -193, 
##     -196, -194, -197, -191, -195, -193, -192, -191, -196, -193, 
##     -197, -197, -195, -193, -194, -193, -193, -193, -193, -194, 
##     -193, -193, -194, -194, -194, -194, -196, -195, -194, -194, 
##     -194, -194, -195, -193, -195, -191, -191, -191, -191, -195, 
##     -197, -193, -193, -194, -196, -191, -193, -192, -192, -193, 
##     -196, -195, -195, -197, -196, -194, -192, -193, -193, -193, 
##     -193, -193, -192, -191, -194, -193, -194, -193, -192, -194, 
##     -196, -193, -196, -196, -192, -194, -193, -192, -192, -194, 
##     -193, -193, -196, -193, -192, -192, -193, -193, -190, -191, 
##     -190, -192, -189, -187, -187, -187, -187, -189, -191, -187, 
##     -188, -191, -188, -188, -191, -191, -192, -190, -189, -192, 
##     -191, -190, -191, -189, -190, -189, -186, -177, -185, -184, 
##     -186, -182, -195, -182, -195, -193, -185, -202, -203, -202, 
##     -193, -199, -199, -192, -196, -180, -181, -188, -194, -188, 
##     -180, -212, -191, -200, -200, -194, -194, -183, -181, -182, 
##     -186, -183, -190, -192, -192, -191, -190, -190, -186, -185, 
##     -186, -188, -189, -186, -183, -187, -186, -186, -184, -185, 
##     -183, -184, -184, -184, -184, -187, -184, -185, -186, -185, 
##     -184, -123, -124, -123, -123, -124, -123, -121, -124, -123, 
##     -124, -124, -122, -121, -124, -120, -124, -119, -122, -122, 
##     -122, -122, -123, -123, -122, -123, -122, -122, -122, -122, 
##     -122, -123, -121, -122, -122, -121, -122, -119, -119, -120, 
##     -122, -122, -121, -123, -123, -120, -124, -120, -120, -120, 
##     -125, -122, -120, -123, -123, -121, -126, -124, -123, -123, 
##     -123, -123, -123, -123, -122, -123, -124, -124, -124, -123, 
##     -123, -124, -123, -124, -124, -124, -123, -122, -124, -123, 
##     -122, -125, -124, -124, -124, -122, -122, -122, -123, -123, 
##     -123, -123, -123, -123, -124, -122, -126, -124, -124, -126, 
##     -125, -121, -123, -125, -122, -122, -123, -123, -124, -124, 
##     -124, -125, -123, -123, -124, -122, -123, -125, -126, -123, 
##     -124, -121, -122, -122, -124, -122, -122, -124, -125, -124, 
##     -123, -125, -124, -123, -124, -123, -123, -123, -122, -126, 
##     -127, -123, -123, -123, -123, -122, -125, -125, -126, -126, 
##     -125, -125, -125, -124, -123, -124, -126, -126, -126, -126, 
##     -124, -124, -126, -125, -123, -124, -125, -124, -125, -123, 
##     -127, -126, -124, -127, -125, -127, -126, -126, -125, -123, 
##     -124, -123, -125, -124, -126, -123, -123, -124, -126, -126, 
##     -125, -126, -127, -127, -126, -123, -124, -125, -126, -125, 
##     -121, -124, -122, -123, -124, -124, -122, -123, -124, -123, 
##     -122, -125, -125, -124, -126, -125, -125, -127, -126, -124, 
##     -124, -123, -124, -124, -124, -124, -122, -125, -126, -125, 
##     -126, -126, -126, -123, -125, -124, -124, -124, -120, -123, 
##     -123, -124, -125, -123, -122, -121, -122, -124, -120, -122, 
##     -120, -119, -120, -122, -122, -122, -119, -121, -121, -121, 
##     -123, -123, -119, -123, -120, -121, -120, -121, -121, -120, 
##     -120, -120, -121, -122, -121, -123, -120, -119, -122, -122, 
##     -119, -120, -118, -120, -119, -116, -116, -121, -119, -117, 
##     -118, -119, -119, -118, -120, -117, -117, -118, -117, -118, 
##     -118, -118, -118, -119, -118, -119, -116, -116, -116, -115, 
##     -109, -116, -117, -116, -115, -114, -111, -107, -105, -103, 
##     -78, -69, -56, -54, -43, -40, -30, -10, 0, 9, 6, 17, 19, 
##     14, 4, -2, -20, -41, -58, -68, -78, -101, -105, -147, -167, 
##     -178, -188, -211, -215, -220, -245, -263, -279, -278, -292, 
##     -302, -322, -325, -336, -338, -328, -307, -301, -291, -271, 
##     -264, -244, -230, -219, -188, -145, -138, -134, -96, -101, 
##     -98, -68, -30, -24, -4, -13, -18, -1, -14, -14, -12, -12, 
##     -36, -46, -56, -63, -72, -83, -87, -99, -98, -94, -93, -86, 
##     -82, -75, -58, -49, -35, -28, -19, -14, -13, -6, -6, 10, 
##     1, -4, -25, -25, -69, -80, -92, -110, -124, -161, -177, -186, 
##     -203, -214, -226, -255, -293, -298, -303, -311, -318, -317, 
##     -336, -342, -317, -273, -263, -216, -195, -192, -185, -139, 
##     -144, -102, -95, -43, -24, -20, -21, -180, -200, -214, -244, 
##     -313, -341, -334, -313, -306, -313, -305, -292, -248, -190, 
##     -187, -149, -137, -95, -100, -61, -57, -44, -41, -21, -23, 
##     -5, 0, 0, -8, -16, -68, -64, -66, -67, -71, -66, -61, -64, 
##     -65, -67, -58, -41, -41, -36, -33, -28, -15, -5, 3, 6, -63, 
##     -61, -65, -83, -108, -112, -127, -139, -160, -173, -202, 
##     -266, -313, -335, -340, -335, -332, -318, -305, -297, -294, 
##     -232, -210, -211, -201, -190, -192, -162, -154, -157, -134, 
##     -93, -95, -90, -42, -26, -28, -5, -13, 14, -5, -15, -23, 
##     -12, -25, -27, -34, -38, -39, -52, -62, -66, -54, -48, -40, 
##     -19, -10, 15, 22, 16, 17, 12, 1, -3, -34, -35, -49, -65, 
##     -73, -107, -127, -154, -215, -246, -294, -322, -338, -342, 
##     -336, -332, -313, -294, -255, -234, -183, -115, -71, -48, 
##     -47, -31, -31, -17, 12, 0, -9, 23, 7, 3, -2, -31, -30, -36, 
##     -42, -50, -57, -65, -91, -99, -85, -82, -69, -67, -71, -70, 
##     -48, -20, -12, 5, -2, -5, -11, -28, -39, -42, -82, -91, -102, 
##     -135, -152, -180, -206, -208, -279, -327, -338, -339, -299, 
##     -283, -276, -185, -187, -183, -182, -183, -186, -183, -183, 
##     -182, -184, -183, -184, -181, -180, -181, -187, -182, -181, 
##     -181, -179, -179, -181, -177, -172, -188, -184, -180, -177, 
##     -175, -173, -177, -174, -177, -177, -176, -175, -176, -178, 
##     -176, -177, -177, -175, -177, -179, -177, -180, -181, -182, 
##     -180, -181, -179, -182, -180, -179, -182, -178, -182, -179, 
##     -180, -182, -183, -181, -180, -181, -182, -182, -183, -184, 
##     -185, -184, -182, -186, -180, -179, -180, -184, -183, -184, 
##     -183, -182, -180, -184, -182, -179, -177, -180, -184, -186, 
##     -181, -180, -182, -184, -185, -185, -184, -182, -181, -184, 
##     -186, -189, -182, -180, -182, -186, -185, -183, -183, -182, 
##     -183, -188, -191, -188, -185, -182, -181, -182, -181, -183, 
##     -186, -182, -184, -185, -185, -185, -183, -182, -181, -182, 
##     -184, -182, -185, -184, -186, -184, -184, -186, -183, -184, 
##     -183, -184, -184, -183, -184, -184, -184, -185, -185, -184, 
##     -182, -185, -186, -185, -182, -182, -184, -184, -183, -183, 
##     -186, -186, -185, -182, -179, -184, -183, -183, -182, -182, 
##     -186, -183, -184, -184, -182, -183, -184, -183, -185, -183, 
##     -185, -187, -185, -182, -182, -183, -184, -186, -183, -184, 
##     -183, -182, -181, -182, -181, -181, -186, -185, -184, -185, 
##     -184, -182, -180, -186, -183, -184, -183, -186, -186, -183, 
##     -185, -183, -183, -185, -184, -185, -182, -186, -182, -183, 
##     -185, -183, -185, -185, -186, -189, -182, -181, -181, -183, 
##     -183, -182, -186, -189, -188, -187, -182, -180, -181, -183, 
##     -181, -183, -180, -181, -183, -185, -181, -184, -189, -188, 
##     -184, -187, -186, -180, -177, -176, -174, -174, -180, -182, 
##     -180, -182, -178, -185, -188, -194, -190, -181, -182, -184, 
##     -185, -186, -187, -187, -186, -185, -184, -184, -184, -184, 
##     -185, -187, -183, -183, -183, -182, -179, -181, -182, -184, 
##     -185, -190, -190, -186, -181, -183, -186, -189, -186, -187, 
##     -188, -192, -190, -191, -184, -182, -179, -188, -189, -191, 
##     -190, -190, -189, -188, -188, -190, -189, -188, -189, -188, 
##     -188, -186, -186, -186, -184, -187, -185, -187, -186, -185, 
##     -189, -185, -184, -192, -190, -185, -186, -188, -191, -180, 
##     -170, -181, -175, -183, -189, -189, -185, -185, -185, -183, 
##     -184, -182, -181, -184, -179, -179, -183, -182, -180, -183, 
##     -186, -185, -183, -180, -182, -183, -185, -185, -186, -186, 
##     -181, -180, -184, -182, -181, -184, -184, -181, -181, -181, 
##     -179, -179, -179, -183, -181, -180, -183, -184, -185, -184, 
##     -180, -183, -182, -182, -181, -181, -179, -178, -178, -180, 
##     -179, -181, -179, -172, -170, -159, -151, -152, -120, -102, 
##     -89, -67, -51, -37, -28, -45, -28, -37, -34, -83, -85, -143, 
##     -139, -198, -209, -194, -185, -200, -202, -197, -214, -253, 
##     -271, -274, -248, -234, -222, -214, -198, -188, -202, -120, 
##     -147, -17, -105, -107, -76, 26, -76, -82, -98, -107, -106, 
##     -118, -116, -102, -105, -103, -108, -90, -95, -70, -68, -62, 
##     -49, -48, -47, -32, -30, -28, -47, -61, -63, -78, -113, -122, 
##     -125, -154, -158, -141, -152, -199, -267, -329, -302, -270, 
##     -241, -255, -217, -182, -205, -237, -177, -94, -192, -14, 
##     21, -57, 55, 19, -89, 33, -5, -50, -31, -77, -95, -93, -94, 
##     -93, -97, -88, -86, -57, -80, -74, -80, -67, -43, -40, -44, 
##     -66, -62, -77, -87, -59, -90, -118, -137, -228, -236, -265, 
##     -302, -311, -276, -259, -257, -259, -250, -217, -188, -155, 
##     -141, -115, -119, -38, -82, -63, -40, -78, -75, -85, -99, 
##     -92, -94, -97, -93, -90, -92, -84, -95, -92, -67, -65, -48, 
##     -31, -30, -25, -29, -37, -35, -81, -78, -95, -111, -135, 
##     -138, -193, -190, -254, -288, -282, -329, -314, -302, -292, 
##     -285, -230, -212, -212, -229, -150, -121, -162, -109, -59, 
##     -62, -7, -32, -70, -42, -72, -61, -90, -85, -88, -59, -53, 
##     -72, -99, -87, -80, -91, -92, -71, -66, -51, -35, -42, -35, 
##     -37, -33, -30, -30, -34, -16, -70, -39, -74, -86, -111, -145, 
##     -156, -112, -158, -321, -293, -246, -223, -203, -182, -95, 
##     -77, -1, -50, -66, -1, -19, -74, -98, -95, -82, -97, -98, 
##     -91, -93, -112, -92, -82, -70, -63, -52, -56, -35, -29, -29, 
##     -40, -50, -58, -78, -85, -91, -105, -94, -113, -156, -157, 
##     -260, -299, -290, -266, -248, -228, -249, -178, -132, -219, 
##     -89, -47, -159, -133, 39, -98, -136, -74, 43, -2, -98, -107, 
##     -82, -80, -113, -91, -104, -87, -94, -102, -98, -108, -91, 
##     -75, -87, -67, -36, -24, -32, -36, -62, -62, -75, -79, -85, 
##     -117, -152, -247, -280, -288, -269, -224, -222, -223, -200, 
##     -183, -179, -206, -157, -94, -112, -31, 43, -3, -99, 20, 
##     -35, -75, -57, -66, -80, -97, -110, -124, -135, -147, -147, 
##     -138, -126, -82, -87, -41, -36, -41, -45, -45, -79, -104, 
##     -106, -86, -180, -232, -279, -269, -285, -244, -29, -26, 
##     -18, -118, -120, -119, -121, -121, -119, -119, -122, -122, 
##     -118, -121, -118, -117, -118, -118, -117, -119, -117, -119, 
##     -116, -117, -118, -116, -114, -111, -111, -115, -114, -118, 
##     -123, -120, -120, -106, -103, -110, -111, -104, -97, -101, 
##     -106, -101, -92, -87, -73, -80, -91, -94, -99, -103, -108, 
##     -106, 69, 75, 73, 91, 70, 59, 11, 15, -7, -2, -18, -46, -69, 
##     -139, -147, 40, 35, 30, 42, 45, 20, 7, 5, 0, -1, -2, -11, 
##     -8, -10, -12, -11, -1, 5, 22, 32, 50, 57, 64, -73, -84, -137, 
##     -147, -145, -151, -149, -146, -152, -140, -134, -146, -147, 
##     -182, -184, -189, -183, -163, -136, -58, 131, 109, 106, 85, 
##     74, 67, 37, 28, -18, -34, -46, -80, -102, -109, -132, -171, 
##     -184, -190, -196, -207, -206, -10, -8, -4, -3, -11, -17, 
##     -24, -22, -23, -23, -9, -3, 6, 30, 95, 103, 133, 119, 124, 
##     88, 55, -20, -23, -30, -28, -30, -33, -31, -31, -35, -37, 
##     -32, -36, -36, -32, -27, -34, -40, -40, -34, 4, 1, -9, -12, 
##     -15, -12, -9, -14, -15, -10, -15, -15, -13, -14, -14, -15, 
##     -18, -19, -20, -16, -13, -11, -10, -10, -8, -14, -15, 4, 
##     -12, 3, 13, 18, 14, 18, 10, 4, 10, 9, 1, -68, -68, -67, -69, 
##     -70, -72, -72, -73, -74, -73, -74, -72, -72, -71, -78, -79, 
##     -77, -80, -79, -78, -73, -78, -81, -81, -79, -66, -60, -62, 
##     -69, -72, -76, -74, -70, -71, -74, -81, -82, -81, -78, -77, 
##     -73, -74, -74, -78, -76, -77, -76, -74, -76, -78, -76, -76, 
##     -75, -77, -79, -77, -78, -76, -75, -74, -76, -74, -76, -75, 
##     -77, -76, -75, -76, -76, -77, -76, -78, -76, -76, -78, -80, 
##     -79, -76, -79, -77, -76, -76, -77, -77, -75, -76, -76, -78, 
##     -80, -76, -77, -77, -77, -77, -75, -77, -75, -77, -76, -79, 
##     -78, -77, -81, -80, -79, -79, -77, -74, -73, -75, -74, -76, 
##     -76, -78, -76, -77, -76, -75, -73, -77, -77, -76, -78, -75, 
##     -75, -75, -75, -76, -74, -75, -74, -79, -76, -75, -77, -76, 
##     -80, -77, -75, -77, -74, -76, -75, -76, -75, -79, -77, -73, 
##     -77, -77, -75, -74, -73, -75, -72, -71, -70, -73, -71, -75, 
##     -75, -75, -74, -75, -79, -79, -81, -82, -81, -73, -73, -75, 
##     -74, -78, -74, -76, -74, -73, -75, -74, -77, -75, -75, -76, 
##     -77, -76, -72, -76, -74, -74, -74, -76, -76, -75, -72, -75, 
##     -73, -70, -70, -69, -69, -72, -73, -81, -79, -79, -80, -80, 
##     -78, -76, -78, -81, -81, -81, -80, -80, -74, -76, -75, -77, 
##     -79, -81, -79, -77, -72, -67, -69, -71, -75, -75, -81, -80, 
##     -82, -81, -83, -78, -75, -74, -76, -78, -75, -78, -79, -79, 
##     -81, -80, -80, -81, -79, -80, -78, -81, -79, -80, -80, -80, 
##     -78, -78, -76, -75, -75, -74, -77, -76, -77, -74, -70, -72, 
##     26, 12, 21, 18, 7, 17, 15, 12, 16, 16, 44, 45, 46, 44, 39, 
##     41, 40, 30, 28, 57, 57, 56, 61, 52, 38, 41, 40, 42, 40, 43, 
##     43, 44, 44, 43, 42, 41, 42, 40, 39, 38, 37, 35, 34, 38, 41, 
##     40, 42, 41, 43, 42, 45, 52, 50, 52, 55, 56, 56, 54, 50, 50, 
##     46, 42, 41, 41, 42, 43, 44, 49, 47, 49, 46, 45, 44, 39, 40, 
##     37, 37, 44, 44, 43, 40, 42, 41, 42, 37, 36, 33, 32, 32, 32, 
##     30, 29, 31, 27, -23, -34, -21, 11, 12, -3, 1, -8, 0, -35, 
##     -32, -37, -52, -56, -56, -54, -76, -61, -56, -56, -59, -56, 
##     -55, -57, -58, -61, -60, -62, -52, -58, -59, -67, -64, -66, 
##     -61, -57, -57, -58, -58, -57, -59, -60, -57, -59, -57, -56, 
##     -57, -59, -55, -58, -112, -150, -155, -158, -158, -155, -158, 
##     -167, -144, -118, -122, -136, -127, -120, -118, -117, -112, 
##     -87, 19, 3, 35, 50, 40, 78, 62, 50, 46, 60, 43, 37, 8, 10, 
##     -7, -9, -17, -6, -7, -4, -5, -1, 0, 4, 29, 23, 34, -63, -111, 
##     -52, -66, -21, -15, 14, 25, 26, 58, 31, 52, 60, 51, 44, 42, 
##     29, 30, 30, 13, 5, 7, 25, 25, 30, 31, 31, 31, 26, 23, 15, 
##     23, 34, 38, 41, 51, 47, 45, 25, 22, -5, 4, 2, -14, -34, -54, 
##     -116, -140, -146, -146, -163, -154, -178, -162, -135, -112, 
##     -96, -79, -101, -68, -51, -27, -13, 4, 9, 8, 35, 22, 76, 
##     39, 48, 44, 25, 29, 25, -13, -17, -18, -1, 19, 29, 32, 36, 
##     34, 31, 27, 44, 46, 50, 31, 36, 37, 6, 5, -23, -47, -41, 
##     -119, -136, -140, -151, -153, -142, -170, -173, -142, -133, 
##     -123, -105, -103, -85, -66, -47, -59, -16, -4, 15, 19, 20, 
##     47, 32, 38, 54, 45, 48, 54, 53, 24, 24, 11, 5, 0, 2, -1, 
##     9, 2, 12, 13, 23, 29, 31, 38, 38, 51, 44, 52, 38, 24, -4, 
##     -22, -24, -25, -77, -66, -53, -90, -106, -110, -125, -142, 
##     -127, -139, -148, -165, -168, -161, -159, -154, -144, -143, 
##     -131, -131, -133, -115, -104, -99, -85, -67, -71, -29, 11, 
##     8, 30, 28, 29, 34, 38, 49, 58, 59, 47, 44, 47, 40, 24, 19, 
##     10, 7, -6, -2, -10, -9, -4, -4, -13, -5, -10, -7, -2, -2, 
##     -3, -1, 8, 3, 19, 21, 25, 30, 33, 42, 43, 46, 42, 38, 40, 
##     32, 49, 53, 16, 13, -5, -2, -13, -26, -15, -51, -64, -35, 
##     -20, -22, -9, 42, 27, 45, 52, 44, 48, 70, 49, 43, 40, 29, 
##     20, 30, 21, 17, 8, -19, -23, -24, 11, -7, -20, -22, -9, -4, 
##     2, 6, 7, 7, 24, 37, 37, 45, 34, 40, 31, 28, 38, 44, 25, 28, 
##     41, 29, 32, -11, -10, -28, -45, -7, 26, 17, 19, 43, 43, 55, 
##     42, 44, 51, 55, 67, 56, 50, 41, 40, 39, 38, 33, 22, 20, 18, 
##     25, 21, 22, 13, 15, 11, 14, 15, 22, 50, 59, 64, 66, 74, 74, 
##     89, 101, 88, 83, 66, 48, 35, 8, -7, -12, -69, -74, -109, 
##     -117, -122, -130, -130, -135, -136, -155, -161, -178, -184, 
##     -177, -162, -166, -167, -170, -181, -177, -181, -183, -185, 
##     -179, -164, -150, -137, -119, -103, -77, -46, -42, -27, -17, 
##     -22, 1, 6, 16, 20, 32, 36, 53, 56, 56, 54, 43, 35, 23, 29, 
##     14, 16, 13, 15, 13, -5, -13, -93, -99, -119, -131, -144, 
##     -146, -155, -171, -170, -152, -147, -152, -152, -140, -124, 
##     -120, -100, -92, -69, -68, -36, 53, 42, 56, 56, 22, 17, 18, 
##     18, 12, -16, -23, -43, -70, -150, -174, -185, -194, -196, 
##     -193, -179, -178, -153, -161, -155, -132, -136, -117, -87, 
##     -101, -116, 46, 42, 41, 38, 37, 35, 35, 38, 36, 40, 42, 45, 
##     47, 42, 39, 42, 39, 42, 40, 43, 45, 45, 41, -70, -74, -71, 
##     -70, -73, -70, -65, -62, -66, -65, -67, -72, -73, -53, -30, 
##     -26, -23, -19, 14, 5, 20, -78, -79, -76, -72, -70, -67, -69, 
##     -73, -72, -71, -76, -77, -75, -75, -75, -77, -76, -77, -87, 
##     -93, -93, -94, -92, -87, -87, -84, -77, -77, -82, -78, -80, 
##     -85, -85, -81, -81, -185, -183, -185, -184, -184, -186, -184, 
##     -185, -185, -186, -186, -186, -186, -186, -186, -186, -186, 
##     -183, -184, -184, -185, -187, -184, -185, -193, -191, -194, 
##     -196, -194, -194, -192, -193, -193, -192, -192, -193, -193, 
##     -192, -193, -194, -193, -192, -192, -191, -188, -189, -186, 
##     -190, -186, -188, -186, -190, -349, -319, -313, -291, -254, 
##     -239, -125, -89, -27, 4, 25, -22, -33, -47, -99, -75, -67, 
##     -60, -51, 14, 14, 32, 32, 32, -13, -25, -39, -84, -100, -126, 
##     -159, -196, -251, -270, -308, -323, -372, -408, -414, 3, 
##     23, -8, 0, -26, -26, -28, -31, -59, -61, -73, -81, -98, -104, 
##     -115, -117, -121, -131, -144, -140, -123, -114, -42, -23, 
##     -11, -4, -15, -4, -5, 2, -12, -19, -19, -26, -37, -54, -67, 
##     -73, -76, -82, -83, -83, -94, -93, -101, -102, -111, -111, 
##     -109, -231, -222, -159, -142, -112, -77, -75, -84, -41, -47, 
##     -28, -21, -34, -3, -12, -21, 3, 4, 5, -1, -12, -35, -47, 
##     -84, -83, -109, -111, -112, -111, -113, -114, -114, -115, 
##     -115, -114, -113, -116, -112, -113, -113, -112, -112, -111, 
##     -115, -112, -112, -111, -112, -113, -113, -111, -86, -79, 
##     -79, -61, -81, -75, -79, -87, -95, -101, -104, -110, -114, 
##     -114, -117, -117, -119, -119, -123, -119, -120, -120, -116, 
##     -118, -13, -21, -31, -41, -56, -24, -16, 3, 7, -7, -6, -8, 
##     -14, -23, -25, -24, -25, -23, -18, -21, -26, -52, -63, -61, 
##     -19, -16, -24, -4, -1, -13, -23, -18, -25, -21, -26, -33, 
##     -35, -41, -54, -73, -75, -45, -37, -18, -17, -14, -9, -9, 
##     97, 140, 187, 128, 126, 100, 117, 108, 114, 107, 83, 84, 
##     64, 69, 65, 71, 72, 75, 79, 131, 131, 132, 150, 141, 158, 
##     152, -8, 86, 116, 180, 110, 134, 148, 168, 159, 152, 134, 
##     137, 129, 133, 81, 73, 27, 135, 141, 157, 155, 146, 180, 
##     141, 113, 109, 79, 88, 72, 75, 77, 60, 58, 67, 63, 60, 153, 
##     168, 144, 120, 86, 78, 32, 3, -163, -117, -77, -56, -17, 
##     -7, 57, 92, 120, 123, 141, 110, 91, 81, 77, 63, 60, 49, 44, 
##     47, 46, 41, 44, 46, 45, 51, 44, 55, 78, 82, 82, 95, 102, 
##     108, 113, 131, 148, 158, 146, 126, -87, -86, -31, -48, -65, 
##     -67, -69, -72, -59, -39, -38, -34, -20, -18, -16, -11, -1, 
##     9, 27, 30, 25, 19, 8, -21, -43, -48, -56, -66, -80, -87, 
##     -101, -101, -134, 77, 70, 71, 69, 61, 62, 42, 37, 36, 27, 
##     20, 26, 25, 21, 21, 16, 15, 17, 16, 17, 17, 19, 15, 15, 17, 
##     18, 14, 17, 13, 17, 15, 17, 19, 17, 31, 59, 66, 65, 74, 114, 
##     122, 138, 140, 150, 153, 163, 182, 172, 153, 131, 97, 75, 
##     57, 34, -34, -49, -70, -116, -167, -272, -257, -250, -233, 
##     -160, -131, -132, -147, -99, -6, 80, 83, 52, 105, 159, 89, 
##     86, 127, 116, 85, 123, 135, 85, 74, 72, 62, 52, 28, -39, 
##     -97, -177, -291, -274, -258, -251, -185, -176, -128, -126, 
##     -112, -80, 2, -19, 50, 75, 83, 117, 130, 105, 84, 121, 160, 
##     111, 128, 97, 104, 102, 84, 93, 93, 79, 73, 64, 60, 56, 51, 
##     49, 56, 79, 82, 84, 120, 156, 166, 172, 181, 174, 160, 165, 
##     126, 83, 57, 30, -35, -86, -140, -383, -320, -203, -106, 
##     -79, -101, -51, 40, 27, 40, 101, 80, 123, 94, 127, 126, 150, 
##     161, 162, 155, 139, 114, 106, 100, 77, 71, 68, 81, 85, 110, 
##     136, 171, 174, 174, 151, 137, 113, 87, 69, 40, -6, -25, -60, 
##     -96, -121, -148, -266, -291, -339, -370, -372, -312, -288, 
##     -268, -233, -120, -110, -118, 1, 85, 115, 143, 158, 146, 
##     157, 170, 135, 77, 81, 79, 70, 39, 35, 71, 73, 88, 95, 123, 
##     133, 147, 151, 171, 162, 180, 167, 143, 130, 122, 116, 95, 
##     40, 21, 1, -62, -99, -126, -235, -278, -291, -212, -184, 
##     -179, -165, -134, -134, -107, -54, 103, 123, 161, 187, 187, 
##     187, 182, 173, 146, 91, 89, 27, -51, -122, -141, -202, -240, 
##     -377, -328, -303, -271, -201, -168, -117, -49, -33, 46, -5, 
##     133, 194, 119, 93, 83, 71, 80, 70, 58, 56, 49, 47, 45, 51, 
##     39, 45, 64, 68, 69, 83, 93, 108, 157, 169, 173, 177, 178, 
##     122, 127, 108, 108, 91, 81, 28, -5, -51, -123, -146, -312, 
##     -332, -349, -297, -217, -170, -156, -86, 115, 70, 124, 160, 
##     151, 190, 134, 97, 86, 81, 96, 81, 56, 44, 38, 38, 42, 43, 
##     43, 58, 81, 92, 114, 184, 161, 158, -38, -67, -120, 62, 55, 
##     63, 44, 41, 50, 49, 61, 62, 75, 84, 94, 90, 117, 125, 129, 
##     150, 185, 177, 155, 104, 97, 88, 61, 58, -26, -62, -132, 
##     -148, -187, -272, -353, -379, -346, -308, -241, -216, -190, 
##     -175, -144, -145, -53, -14, 65, 69, 101, 172, 100, 107, 133, 
##     111, 86, 81, 62, 66, 51, 57, 51, 64, 69, 83, 92, 100, 113, 
##     130, 177, 180, 196, 184, 180, 159, 148, 136, 109, 93, 61, 
##     -8, -46, -55, -108, -118, -207, -236, -317, -376, -328, -277, 
##     -294, -227, -119, -99, -88, -74, -64, -64, -66, -38, -33, 
##     -38, -37, -43, -49, -65, -23, -7, -10, 0, -3, -5, -11, -19, 
##     -36, -60, -66, -72, -79, -92, -100, -105, -102, -100, -108, 
##     -102, -100, -101, -102, -106, -110, -141, -144, -135, -146, 
##     -155, -150, -144, -143, -137, -135, -127, -126, -130, -134, 
##     -130, -132, -131, -131, -130, -132, -133, -137, -135, -137, 
##     -136, -140, -135, -136, -133, -136, -135, -137, -135, -137, 
##     -136, -137, -137, -136, -134, -135, -137, -136, -136, -135, 
##     -135, -135, -136, -135, -134, -135, -133, -134, -134, -132, 
##     -133, -135, -132, -129, -131, -125, -127, -130, -130, -131, 
##     -131, -132, -126, -122, -112, -109, -111, -104, -98, -95, 
##     -91, -53, -43, -39, 8, 17, 27, 41, -356, -262, -243, -198, 
##     -165, -151, -90, -85, -59, -29, -17, -2, 2, 8, 10, 3, 6, 
##     -3, -24, -33, -49, -78, -84, -101, -120, -123, -116, -116, 
##     -121, -132, -126, -129, -128, -125, -121, -107, -84, -72, 
##     -28, 19, 31, 75, 87, 87, 86, 61, 43, 9, -10, -38, -59, -174, 
##     -190, -221, -249, -264, -304, -332, -352, -368, -406, -517, 
##     -559, -593, -597, -580, -479, -357, -345, -308, -286, -265, 
##     -199, -188, -175, -162, -116, -80, -69, -48, -35, -25, 11, 
##     -4, 4, 9, -10, -6, 1, 57, 54, 56, 56, 26, 14, -44, -58, -125, 
##     -156, -191, -232, -249, -269, -280, -340, -363, -368, -423, 
##     -532, -566, -541, -527, -497, -486, -454, -416, -384, -303, 
##     -206, -191, -169, -153, -115, -92, -82, -64, -50, -19, -20, 
##     -10, -10, -20, -6, -10, -10, -10, -17, -50, -67, -74, -105, 
##     -117, -111, -120, -121, -128, -129, -131, -130, -127, -103, 
##     -103, -55, -42, 5, 9, 47, 66, 68, 44, 15, -88, -142, -157, 
##     -165, -220, -249, -309, -347, -393, -411, -472, -582, -629, 
##     -630, -579, -533, -507, -479, -465, -447, -356, -334, -323, 
##     -294, -214, -149, -105, -94, -86, -73, -55, -26, -25, 22, 
##     21, 22, 2, -39, -44, -62, -94, -100, -113, -109, -111, -108, 
##     -62, -43, -34, -18, 11, 71, 74, 51, 23, 3, -18, -38, -63, 
##     -95, -110, -129, -146, -218, -235, -282, -335, -397, -433, 
##     -448, -463, -485, -546, -570, -599, -535, -507, -491, -471, 
##     -459, -403, -399, -350, -328, -301, -224, -157, -141, -50, 
##     63, 60, 50, 38, 28, -7, -27, -36, -63, -86, -158, -186, -207, 
##     -214, -252, -280, -324, -341, -378, -379, -413, -468, -560, 
##     -597, -608, -613, -612, -595, -573, -418, -414, -401, -359, 
##     -339, -296, -276, -186, -156, -146, -144, -69, -47, -21, 
##     8, 5, -10, -24, -28, -40, -71, -77, -87, -96, -93, -93, -94, 
##     -96, -94, -87, -72, -54, -51, -42, -3, 39, 52, 20, 7, -7, 
##     -20, -71, -85, -122, -184, -222, -243, -236, -235, -186, 
##     -114, -145, -72, -93, -51, -37, -46, -17, 0, -1, 6, -4, -25, 
##     -48, -61, -78, -73, -84, -97, -107, -106, -99, -96, -88, 
##     -64, -59, -50, -30, -15, 15, 6, 5, -1, -7, -8, -32, -49, 
##     -46, -60, -107, -134, -139, -150, -187, -215, -265, -324, 
##     -348, -272, -185, -166, -138, -93, -86, -45, -39, -40, -19, 
##     -15, 5, -4, -8, -15, -20, -21, -24, -27, -34, -35, -66, -82, 
##     -82, -85, -90, -79, -74, -66, -61, -52, -53, -35, -2, 6, 
##     18, 19, -26, -48, -61, -63, -111, -138, -157, -178, -197, 
##     -275, -292, -310, -326, -339, -305, -286, -274, -260, -213, 
##     -170, -171, -123, -115, -74, -27, -23, -15, -23, -31, -36, 
##     -56, -58, -77, -113, -120, -158, -156, -172, -207, -249, 
##     -300, -327, -339, -321, -303, -283, -286, -267, -193, -150, 
##     -150, -141, -90, -68, -26, 15, 8, 1, -6, -10, -33, -39, -56, 
##     -50, -57, -61, -73, -67, -49, -54, -50, -38, -35, -279, -257, 
##     -260, -234, -202, -182, -179, -161, -148, -143, -119, -84, 
##     -93, -47, -3, 8, 5, 10, 14, 16, 6, 1, 8, -24, -42, -46, -43, 
##     -60, -58, -66, -70, -67, -72, -78, -95, -103, -108, -110, 
##     -119, -114, -111, -111, -109, -113, -111, -117, -113, -112, 
##     -115, -114, -112, -115, -114, -109, -115, -112, -115, -114, 
##     -114, -113, -113, -115, -113, -116, -115, -118, -114, -115, 
##     -115, -114, -113, -110, -175, -160, -141, -112, -105, -110, 
##     -59, -55, -49, -34, -24, -12, 15, 21, 3, 0, -8, -36, -37, 
##     -38, -38, -29, -22, -17, -8, 2, -291, -120, -111, -117, -82, 
##     -54, -28, -12, -3, -4, 5, 19, 5, 3, 16, -10, -17, -21, -20, 
##     -15, -10, -3, 5, 19, 24, 44, 68, 84, 90, 74, 54, 25, 2, -16, 
##     -191, -199, -226, -270, -325, -356, -463, -479, -485, -495, 
##     -480, -468, -448, -444, -434, -424, -24, -21, -12, 6, 38, 
##     44, 62, 54, -40, -54, -57, -98, -129, -183, -216, -440, -457, 
##     -461, -472, -417, -401, -398, -392, -384, -367, -328, -272, 
##     -224, -200, -160, -124, -110, -100, -59, -17, -14, -5, -18, 
##     -14, -17, -27, -29, -37, -37, -10, 22, 35, 61, 69, 20, -20, 
##     -28, -72, -83, -115, -173, -193, -221, -42, -31, -10, -9, 
##     -29, -12, -12, -27, -19, -10, -26, -28, -28, -25, -29, -42, 
##     -42, -43, -43, -45, -29, -23, -2, 3, 10, 19, 35, 80, -380, 
##     -366, -357, -288, -265, -244, -232, -217, -181, -132, -99, 
##     -21, -17, 6, 8, -16, -10, -17, -19, -16, -34, -31, -48, -61, 
##     -59, -58, -56, -55, -27, -25, -10, 2, 38, 47, 58, 68, 62, 
##     51, 48, 28, 11, -31, -34, -69, -81, -106, -192, -218, -252, 
##     -289, -300, -313, -331, -350, -364, -434, -470, -458, -448, 
##     -410, -404, -379, -360, -262, -258, -217, -159, -138, -116, 
##     -22, -1, 3, -4, -2, 6, -10, -22, -20, -30, -235, -222, -214, 
##     -215, -197, -173, -154, -126, -107, 8, -70, -136, 45, 25, 
##     -54, -113, 5, -21, -27, -82, -93, -81, -65, -88, -103, -87, 
##     -107, -102, -116, -113, -114, -109, -111, -119, -95, -90, 
##     -81, -69, -53, -74, -108, -58, -102, -130, -106, -119, -95, 
##     -97, -79, -56, -55, -23, -18, -16, -13, -31, -59, -96, -93, 
##     -108, -156, -137, -161, -265, -308, -277, -256, -236, -207, 
##     -189, -241, -235, -226, -231, -220, -185, -65, -138, 12, 
##     -94, -82, 20, -39, -26, -86, -74, -107, -120, -101, -99, 
##     -92, -97, -130, -143, -148, -148, -161, -169, -169, -169, 
##     -168, -164, -163, -160, -161, -163, -164, -165, -163, -163, 
##     -163, -164, -165, -165, -164, -163, -167, -165, -165, -164, 
##     -164, -163, -166, -164, -163, -164, -162, -164, -149, -99, 
##     -60, -19, 5, -3, 46, 26, -12, -27, -27, -36, -80, -94, -204, 
##     -274, -291, -411, -456, -475, -479, -480, -474, -400, -383, 
##     -387, -363, -304, -297, -239, -195, -228, -138, -160, -39, 
##     -61, -91, -37, -10, -53, -71, -46, -61, -62, -69, -72, -74, 
##     -51, 13, 13, 35, 8, 20, 28, 9, -109, -141, -197, -214, -325, 
##     -341, -437, -475, -501, -514, -480, -446, -376, -302, -321, 
##     -319, -249, -190, -88, -144, -37, -103, -47, -11, 2, -52, 
##     -70, -65, -78, -75, -60, -54, -34, -83, -92, -96, -55, -74, 
##     -7, -47, -13, -52, -71, -63, -65, -51, -18, 14, 18, 20, 17, 
##     -38, -69, -106, -158, -185, -193, -220, -246, -343, -454, 
##     -498, -470, -412, -352, -340, -304, -274, -247, -248, -133, 
##     -86, -30, -28, -46, -38, -66, -72, -55, -35, -57, -22, 13, 
##     16, 25, 33, 30, 24, 19, -13, -53, -63, -140, -124, -189, 
##     -208, -235, -253, -290, -417, -448, -513, -489, -415, -398, 
##     -319, -337, -220, -205, -103, -127, -66, -16, -102, -8, -82, 
##     -36, 5, -11, -64, -16, -39, -38, -44, -58, -55, -57, -66, 
##     -51, 3, 11, -5, 16, 52, 58, -14, -36, -109, -202, -221, -225, 
##     -248, -287, -331, -432, -531, -15, 15, 13, 25, 22, 19, -3, 
##     -45, -76, -128, -154, -249, -267, -275, -362, -492, -490, 
##     -493, -483, -459, -435, -403, -319, -329, -305, -200, -215, 
##     -114, -91, -182, -186, -134, -136, -91, -89, -59, -45, -32, 
##     0, 61, 74, 60, 57, 51, 40, 32, 41, 28, 17, 23, -37, -38, 
##     -40, -37, -41, -39, -39, -39, -46, -45, -47, -47, -56, -52, 
##     -52, -54, -52, -52, -56, -61, -51, -63, -52, -55, -54, -57, 
##     -50, -57, -47, -43, -46, -38, -34, -15, -1, -3, 147, 151, 
##     161, 142, 132, 100, 84, 53, 53, 31, -4, -6, -106, -120, -136, 
##     -159, -200, -244, -305, -324, -349, -344, -364, -362, -356, 
##     -354, -355, -360, -358, -359, -353, -351, -339, -332, -321, 
##     -311, -274, -258, -85, -85, -46, -21, -21, -20, 32, 20, 22, 
##     21, 71, 78, 74, 65, 57, 33, 9, 9, 4, -4, 5, 12, 16, 18, 59, 
##     81, 86, 113, 110, 104, 131, 114, 111, 90, 74, 55, 36, 16, 
##     -13, -62, -95, -168, -191, -227, -251, -248, -252, -293, 
##     -308, -328, -332, 40, 36, 51, 46, 62, 67, 69, 70, 69, 63, 
##     65, 48, 41, 15, 7, 10, -3, -9, -11, -19, -25, -21, -1, 13, 
##     29, 36, 49, -372, -377, -383, -384, -365, -364, -347, -336, 
##     -314, -241, -200, -132, -63, -41, -27, -6, -4, 35, 32, 34, 
##     46, 46, 62, 77, 72, 67, 75, 74, 14, 5, 6, 9, 14, 11, 11, 
##     8, 9, 4, 4, 4, 7, 7, 6, 18, 19, 36, 131, 146, 141, 112, 27, 
##     36, 16, -17, -42, -87, -106, -130, -186, -201, -222, -263, 
##     -272, -291, -296, -307, -317, -318, -342, -347, -382, -397, 
##     -389, -381, -374, -366, -366, -362, -362, -353, -347, -344, 
##     -325, -312, -298, -249, -221, -194, -142, -71, -58, -25, 
##     -16, -23, -25, -12, 17, 22, 68, 56, 89, 96, 81, 66, 68, 54, 
##     43, 53, 32, 5, -9, -89, -145, -161, -207, -234, -261, -275, 
##     -296, -318, -323, -336, -376, -370, -366, -354, -348, -324, 
##     -317, -286, -274, 2, -6, -14, -19, -23, -23, -26, -28, -25, 
##     -20, -11, 2, 9, 23, 33, 34, 46, 93, 103, 124, 124, 131, 108, 
##     75, 37, 16, 1, -113, -150, -149, -161, -181, -226, -261, 
##     -276, -287, -311, -332, -348, -358, -366, -367, -363, -356, 
##     -351, -339, -337, -324, -324, -305, -289, -275, -253, -239, 
##     -183, -120, -86, -51, -41, -15, 7, 18, 33, 27, 27, 47, 51, 
##     58, 78, 48, 37, 25, 24, 21, 22, 16, 4, -11, -8, -10, -12, 
##     -10, -9, -4, 24, 25, 36, 47, 49, 73, 85, 121, 132, 118, 39, 
##     4, -15, -100, -168, -183, -209, -221, -242, -246, -249, -255, 
##     -264, -278, -295, -311, -312, -324, -345, -358, -363, -364, 
##     -354, -348, -333, -320, -321, -316, -298, -291, -287, -278, 
##     -271, -260, -255, -221, -206, -14, 2, 27, 44, 21, 35, 58, 
##     40, 41, 49, 56, 49, 55, 59, 49, 43, 53, 32, 10, 8, 6, 5, 
##     0, -2, -10, -22, -28, -30, -30, -30, -39, -41, -39, -39, 
##     -41, -41, -39, -29, -22, 27, 52, 62, 67, 99, 112, 103, 49, 
##     -5, -60, -66, -194, -200, -233, -238, -276, -279, -296, -325, 
##     -345, -357, -375, -377, -372, -373, -366, -362, -357, -348, 
##     -343, -339, -328, -296, -283, -267, -256, -255, -201, -103, 
##     -84, -256, -249, -225, -202, -157, -28, -2, 8, 35, 37, 46, 
##     57, 70, 63, 77, 62, 57, 51, 51, 45, 28, 21, 15, 1, 6, -19, 
##     5, 21, 37, 56, 54, 63, 87, 85, 47, 6, 5, 2, -1, -5, -20, 
##     -26, -24, 99, 100, 131, 128, 129, 118, 121, 116, 97, 45, 
##     3, 3, -12, -36, -58, -71, -93, -117, -130, -176, -196, -214, 
##     -220, -233, -260, -278, -294, -308, -312, -313, -328, -341, 
##     -364, -373, -358, -353, -346, -346, -333, -304, -289, -250, 
##     -179, -157, -103, -70, -31, 11, 9, 16, 5, -1, -1, 3, -1, 
##     -14, -22, -27, -27, -26, -30, -31, -30, -31, -32, -29, -38, 
##     -38, -38, -37, -37, -39, -39, -92, -87, -44, -21, -24, -19, 
##     -11, 22, 20, 36, 43, 46, 42, 52, 49, 40, 42, 46, 36, -8, 
##     -4, 4, 7, 20, 32, 60, 68, 82, 80, 79, 93, 89, 91, 71, 53, 
##     43, 17, 18, 24, -15, -30, -40, -69, -72, -81, -79, -111, 
##     -124, -40, -49, -81, -83, -105, -129, -153, -164, -178, -177, 
##     -175, -174, -173, -174, -163, -172, -151, -132, -107, -117, 
##     -99, -74, -30, -26, -23, 3, 9, 37, 34, 43, 38, 42, 50, 52, 
##     45, 38, 34, 49, 48, 42, 18, 17, -20, -24, -23, -35, -47, 
##     -54, -48, -51, -54, -70, -103, -107, -116, -120, -130, -144, 
##     -151, -159, -165, -173, -194, -198, -189, -178, -150, -95, 
##     -61, -65, -57, -13, -25, 1, -3, 21, 27, 36, 41, 51, 50, 65, 
##     58, 55, 42, 37, 38, 32, 28, 20, 28, 29, 7, -4, -9, -22, -8, 
##     -6, -10, -1, -8, -14, -9, -12, -12, -13, -4, -3, 2, 21, 41, 
##     47, 55, 51, 59, 35, 31, 42, 28, 0, -16, -40, -36, -45, -33, 
##     -25, -29, -56, -58, -71, -95, -84, -112, -118, -159, -141, 
##     -147, -150, -170, -167, -142, -143, -130, -128, -107, -93, 
##     -87, -51, 16, 22, 24, 25, 36, 40, 41, 43, 58, 62, 27, 66, 
##     57, 24, 27, 29, 13, 3, -8, 8, -3, -4, -6, -27, -22, -29, 
##     -28, -29, -28, -22, 4, 13, 15, 21, 28, 31, 34, 32, 30, 39, 
##     55, 51, 47, -173, -176, -173, -182, -183, -197, -196, -195, 
##     -186, -172, -162, -157, -128, -122, -118, -108, -91, -75, 
##     -75, -55, -43, -31, -12, 17, 16, -16, -19, -22, -24, -28, 
##     -32, -32, -30, -32, -31, -32, -26, -11, 19, 67, 72, 82, 101, 
##     77, 73, 83, 63, 67, 52, 42, -25, -57, -42, -79, -133, -133, 
##     -149, -168, -175, -221, -237, -240, -262, -365, -359, -377, 
##     -365, -360, -364, -363, -376, -376, -378, -371, -364, -353, 
##     -345, -320, -311, -306, -281, -247, -225, -212, -178, -118, 
##     -103, -76, 3, 24, 84, 75, 65, 59, 71, 46, 36, 52, 36, 16, 
##     14, 2, -23, -34, -30, -29, -11, -3, -2, 13, 24, 27, 33, 33, 
##     33, 69, 78, -7, -5, -15, -34, -27, -54, -60, -122, -133, 
##     -133, -219, -235, -246, -263, -276, -280, -287, -290, -310, 
##     -362, -382, -388, -382, -369, -368, -369, -361, -360, -334, 
##     -332, -326, -307, -291, -281, -262, -244, -213, -215, -194, 
##     -176, -121, -112, -75, -19, 66, 46, 94, 73, 59, 65, 50, 55, 
##     41, 30, 28, 14, -8, -17, -24, -30, -26, -28, -24, -21, -12, 
##     -6, -2, 11, 11, 41, 72, 77, 90, 77, 68, 46, 51, 38, 40, 2, 
##     -29, -56, -96, -142, -152, -183, -207, -247, -248, -278, 
##     -281, -276, -283, -293, -331, 60, 50, 70, 64, 42, 45, 17, 
##     44, 41, -14, -4, 2, -9, -21, -23, -28, -29, -34, -22, 1, 
##     9, 25, 59, 90, 86, 97, 80, 72, 55, 40, 42, 2, -18, -23, -52, 
##     -66, -63, -75, -138, -181, -190, -204, -222, -274, -298, 
##     -302, -344, -344, -328, -320, -312, -310, -308, -308, -303, 
##     -295, -288, -284, -274, -265, -248, -229, -218, -175, -129, 
##     -118, -110, -83, -2, 44, -26, -21, -18, -14, -11, -10, 12, 
##     57, 49, 54, 51, 53, 51, 32, 14, -14, -19, -45, -70, -101, 
##     -118, -129, -135, -141, -150, -160, -173, -193, -199, -249, 
##     -275, -285, -299, -314, -330, -330, -328, -324, -320, -316, 
##     -289, -242, -238, -223, -200, -178, -159, -142, -115, -86, 
##     -50, -35, -38, -28, 10, 31, 29, 50, 48, 35, 50, 47, 46, 69, 
##     65, 71, 66, 15, -17, -22, -24, -31, -33, -45, -42, -33, -20, 
##     -10, -5, 19, 44, 63, 69, 69, 66, 60, 58, 15, 7, -14, -34, 
##     -48, -57, -73, -83, -96, -109, -131, -147, -146, -156, -219, 
##     -227, -238, -263, -270, -352, -316, -310, -309, -307, -300, 
##     -284, -254, -246, -256, -219, -213, -207, -159, -160, -168, 
##     -105, -100, -30, 26, 80, 98, 92, 87, 39, 31, 0, -8, -11, 
##     -14, -31, -37, -38, -55, -53, -42, -37, -14, -14, 3, 12, 
##     30, 53, 56, 66, 63, 59, 54, 45, 38, -14, -35, -34, -47, -65, 
##     -72, -84, -119, -20, -19, -22, -19, -15, -128, -138, -138, 
##     -130, -141, -151, -158, -208, -211, -201, -186, -186, -190, 
##     -176, -174, -178, -154, -143, -127, -128, -124, 32, 28, 22, 
##     7, 5, -4, 7, 3, -2, -4, -12, -16, -12, -12, -11, -5, 14, 
##     13, 24, 44, 77, 83, 92, 92, 53, 48, 42, 36, 18, 15, -39, 
##     -52, -58, -77, -98, -106, -131, -148, -150, -170, -177, -183, 
##     -176, -177, -200, -201, -201, -180, -172, -176, -179, -177, 
##     -174, -181, -171, -169, -168, -165, -165, -168, -163, -161, 
##     -160, -162, -159, -148, -147, -141, -123, -124, -134, -153, 
##     -154, -155, 57, 62, 60, 39, 45, 40, 36, 36, 12, -13, -20, 
##     -20, -43, -44, -46, -49, -52, -48, -44, -39, -31, -353, -335, 
##     -338, -324, -317, -306, -289, -281, -275, -263, -254, -246, 
##     -227, -221, -206, -178, -141, -132, -132, -104, -83, -68, 
##     -54, 7, 14, 18, 33, 52, 39, 72, 46, 34, 44, 31, 41, 33, 1, 
##     9, 2, -2, 6, -4, -7, -8, 50, 42, 48, 55, 2, 15, 19, 10, -30, 
##     -32, -52, -58, -56, -75, -76, -96, -113, -117, -118, -118, 
##     -123, -131, -178, -54, -7, 2, 50, 30, 33, 47, 65, 65, 35, 
##     27, 17, 15, 13, 0, -32, -40, -27, -23, -28, -22, -64, -92, 
##     -60, -51, -31, -38, -29, -37, -48, -46, -67, -29, -7, 23, 
##     7, 60, 27, 38, -69, -527, -486, -389, -348, -357, -269, -230, 
##     -208, -121, -46, -53, -155, -134, 37, 25, -91, -74, -55, 
##     -31, -48, -89, -56, -63, -78, -37, -54, -53, -56, -37, -18, 
##     9, 23, 11, 5, -42, -46, -78, -107, -163, -184, -188, -216, 
##     -244, -246, -264, -328, -445, -480, -470, -429, -414, -336, 
##     -297, -272, -265, -223, -153, -170, -170, -172, -165, -165, 
##     -165, -165, -159, -163, -160, -160, -160, -157, -161, -160, 
##     -162, -163, -159, -164, -162, -163, -160, -50, -30, -25, 
##     -32, -39, -57, -63, -66, -90, -86, -102, -109, -137, -131, 
##     -213, -337, -298, -262, -249, -233, -234, -212, -218, -205, 
##     -140, -23, -29, -164, -35, -126, -329, -363, -381, -405, 
##     -433, -449, -515, -567, -584, -596, -574, -497, -467, -449, 
##     -414, -404, -373, -355, -315, -259, -206, -163, -81, -71, 
##     -48, -12, -30, -14, -7, -6, -7, -14, -56, -75, -84, -93, 
##     -95, -97, -94, -99, -100, -101, -99, -102, -101, -88, -68, 
##     -36, -1, 7, 43, 45, 56, 66, -11, -14, -53, -59, -74, -76, 
##     -81, -102, -109, -109, -127, -125, -131, -131, -128, -125, 
##     -121, -115, -109, -42, -31, 72, 81, 91, 34, 12, -14, -65, 
##     -80, -107, -135, -184, -208, -252, -279, -304, -383, -447, 
##     -568, -582, -585, -566, -548, -492, -479, -447, -414, -387, 
##     -59, -81, -133, -195, -222, -267, -291, -345, -372, -453, 
##     -442, -385, -336, -288, -256, -188, -164, -140, -78, -43, 
##     -101, -108, -115, -125, -131, -126, -134, -138, -136, -142, 
##     -140, -136, -133, -123, -108, -101, -89, -38, -15, -16, -12, 
##     -187, -374, -351, -344, -323, -287, -208, -207, -201, -179, 
##     -132, -133, -91, -45, -49, -5, 65, 40, 139, 97, 142, 156, 
##     150, 148, 131, 123, 120, 102, 100, 51, 99, 136, 137, 126, 
##     88, 92, 71, 77, 54, 48, 33, 39, 29, 33, 24, 28, 29, 78, 74, 
##     57, 56, 46, 49, 56, 65, 69, 153, 170, 161, 163, 151, 142, 
##     146, 100, -78, -94, -39, -51, -49, -45, -43, -34, -21, -2, 
##     46, 55, 55, 49, 39, 20, -2, -17, -41, -51, 91, 91, 74, 35, 
##     -1, -27, -35, -51, -76, -84, -111, -137, -138, -182, -199, 
##     -226, -238, -273, -335, -354, -414, -472, -453, -433, -413, 
##     -312, -377, -422, -436, -453, -468, -480, -449, -441, -434, 
##     -432, -427, -422, -389, -345, -332, -327, -297, -277, -228, 
##     -166, -97, -384, -370, -344, -338, -300, -275, -232, -199, 
##     -160, -56, -28, -33, -19, -31, -23, -23, -23, -24, -16, -13, 
##     -28, -27, -26, 94, 52, 27, -46, -64, -133, -144, -216, -242, 
##     -295, -305, -381, -445, -526, -531, -496, -445, -426, -420, 
##     -410, -404, -398, -369, -346, -73, -93, -129, -140, -170, 
##     -194, -248, -274, -316, -336, -397, -435, -471, -474, -444, 
##     -430, -418, -401, -396, -380, -351, -337, -199, -108, -111, 
##     -110, -107, -108, -110, -110, -108, -107, -108, -100, -99, 
##     -91, -91, -63, -37, -1, 6, 17, 35, 65, 83, 77, 50, -15, -27, 
##     -35, -31, -8, 12, 14, 10, 17, -3, -22, -33, -52, -76, -85, 
##     -93, -118, -132, -171, -184, -205, -256, -287, -306, -319, 
##     -321, -312, -304, -308, -15, -19, -14, -11, -10, -20, -22, 
##     -27, -51, -68, -73, -77, -88, -84, -52, -49, -41, -31, -25, 
##     -7, 12, 18, 17, 23, 13, -215, -147, -139, -80, -53, -8, 51, 
##     54, 117, 108, 158, 138, 157, 133, 141, 151, 122, 112, 110, 
##     96, 106, 91, 72, 66, 54, 35, 28, 26, 23, 24, 25, 19, 29, 
##     33, 35, 46, 62, 70, 70, 87, 97, 125, 137, 136, 135, 141, 
##     139, 143, 140, 91, 90, 79, 27, 34, 30, 77, 91, 79, 93, 63, 
##     68, 75, 95, 136, 129, 114, 127, 149, 155, 151, 151, 152, 
##     122, 100, 91, 98, 88, 85, 91, 83, 74, 66, 67, 58, 54, 56, 
##     72, 75, 73, 84, 92, 100, 118, 116, 116, 128, 150, 182, 175, 
##     178, 147, 144, 155, 142, 133, 119, 97, 80, 68, 37, 56, 61, 
##     101, 100, 107, 109, 91, 75, 103, 125, 139, 166, 150, 137, 
##     139, 123, 130, 143, 119, 119, 105, 80, 118, 110, 67, 68, 
##     65, 63, 53, 48, 50, 43, 33, 35, 35, 39, 42, 47, 54, 41, 67, 
##     66, 86, 100, 127, 138, 140, 148, 153, 145, 139, 166, 147, 
##     137, 126, 107, 89, 62, 64, 60, 57, 51, 47, 49, 43, 38, 41, 
##     43, 67, 65, 100, 118, 131, 135, 141, 144, 155, 153, 161, 
##     151, 144, 138, 111, 91, 62, 56, 14, -4, -23, -18, -15, 10, 
##     31, 76, 57, 95, 55, 70, 113, 72, 174, 130, 152, 131, 140, 
##     148, 113, 133, 134, 110, 88, 83, 82, 82, 80, 74, 70, 64, 
##     62, 50, 49, 45, 48, 61, 68, 74, 77, 88, 105, 106, 118, 147, 
##     152, 145, 158, 141, 72, 68, 72, 66, 81, 80, 117, 140, 159, 
##     171, 180, 148, 138, 129, 125, 105, 98, 92, 84, 80, 68, 72, 
##     64, 54, 51, 51, 54, 54, 64, 72, 85, 96, 115, 133, 145, 142, 
##     131, 127, 138, 109, 102, 111, 91, 60, 36, 39, 68, 71, 77, 
##     100, 100, 109, 125, 120, 104, 135, 128, 119, 148, 139, 126, 
##     144, 113, 91, 75, 60, 49, 41, 48, 43, 43, 44, 70, 76, 80, 
##     100, 123, 129, 136, 137, 140, 140, 142, 134, 117, 82, 44, 
##     -4, -17, 3, 8, 50, 79, 77, 107, 126, 130, 126, 119, 137, 
##     107, 110, 121, 112, 96, 70, 63, 46, 51, 45, 37, 43, 39, 36, 
##     42, 49, 57, 56, 63, 76, 101, 121, 127, 137, 136, 138, 145, 
##     139, 155, 159, 155, 143, 151, 85, 15, 4, 18, -10, -33, -57, 
##     -63, -69, -73, -92, -94, -99, -90, -63, -39, 14, 23, 42, 
##     83, 85, 81, 58, 39, 31, -19, -40, -62, -88, -193, -228, -255, 
##     -269, -292, -333, -343, -398, -414, -426, -463, -482, -506, 
##     -522, -581, -604, -604, -602, -523, -498, -482, -461, -391, 
##     -310, -212, -90, -17, 20, 24, 30, 31, 21, 18, 1, -31, -43, 
##     -43, -56, -72, -77, -86, -97, -100, -103, -108, -108, -106, 
##     -55, -34, 16, 27, 43, 48, 63, 66, 71, 59, 44, 21, 12, -6, 
##     -83, -90, -200, -259, -274, -311, -365, -404, -436, -470, 
##     -545, -636, -598, -567, -513, -414, -398, -372, -348, -316, 
##     -285, -208, -181, -125, -100, -83, 16, 13, 8, 7, -6, -6, 
##     -16, -8, -45, -83, -87, -87, -84, -87, -82, -75, -79, -70, 
##     -32, -23, 22, 33, 35, 46, 54, 55, 53, 42, 34, 25, 10, -4, 
##     -47, -133, -155, -193, -223, -254, -272, -290, -321, -337, 
##     -375, -454, -468, -493, -506, -569, -571, -570, -561, -511, 
##     -455, -436, -425, -391, -371, -361, -345, -321, -223, -163, 
##     -133, -116, -68, -65, -145, -147, -149, -146, -128, -84, 
##     -33, -27, -25, 6, 0, -6, -19, -102, -109, -114, -122, -122, 
##     -123, -122, -124, -124, -130, -121, -115, -99, -91, -88, 
##     -63, -60, -56, -46, 14, 3, 0, -28, -154, -172, -190, -239, 
##     -244, -223, -195, -128, -130, -61, -74, -27, -9, 4, -24, 
##     -40, -48, -63, -67, -78, -106, -110, -109, -114, -114, -115, 
##     -111, -107, -96, -90, -79, -58, -50, -27, -17, 4, -8, -17, 
##     -27, -45, -92, -86, -196, -201, -220, -253, -253, -201, -160, 
##     -141, -122, -95, -39, -23, -3, -22, -34, -23, 2, -17, -20, 
##     -42, -81, -89, -91, -95, -96, -98, -97, -82, -78, -54, -26, 
##     9, 20, 25, 27, 25, 20, -7, -14, -37, -72, -93, -119, -178, 
##     -257, -262, -276, -266, -263, -249, -210, -192, -168, -142, 
##     -132, -145, -106, -48, -53, 1, 21, 2, 0, 10, -3, -3, -30, 
##     -41, -66, -92, -105, -101, -101, -97, -81, -60, -22, -18, 
##     3, -27, -27, -71, -78, -93, -118, -164, -205, -221, -241, 
##     -275, -279, -284, -278, -259, -242, -229, -218, -196, -183, 
##     -165, -148, -128, -117, -115, -113, -113, -103, -98, -94, 
##     -84, -76, -32, -6, 13, 11, 19, 5, 1, -31, -92, -131, -226, 
##     -250, -272, -273, -278, -275, -248, -206, -194, -154, -67, 
##     -49, -30, 15, 9, -32, -24, -14, -34, -37, -63, -77, -92, 
##     -96, -98, -103, -104, -106, -104, -106, -107, -104, -92, 
##     -73, -52, -40, -12, -5, -139, -156, -174, -194, -204, -218, 
##     -251, -303, -323, -341, -366, -386, -399, -482, -461, -442, 
##     -429, -427, -417, -411, -373, -349, -325, -305, -281, -250, 
##     -218, -127, -93, -84, -57, -29, -18, -2, -5, -18, -32, -38, 
##     -12, -28, -12, -23, -27, -29, -30, -27, -28, -29, -27, -19, 
##     -3, 10, 28, 36, 44, 63, 66, -26, -41, -80, -93, -149, -155, 
##     -173, -200, -270, -281, -295, -307, -322, -355, -375, -415, 
##     -446, -452, -454, -455, -430, -412, -366, -308, -245, -222, 
##     -154, -116, -92, -22, 0, -12, 16, 7, -4, 7, 4, 0, 2, -6, 
##     -14, -34, -45, -46, -55, -70, -71, -79, -73, -71, -59, -40, 
##     23, 42, 65, 92, 68, 21, -261, -249, -236, -176, -5, 17, 12, 
##     15, 44, 58, 46, 45, 55, 35, 23, 0, -16, -21, -28, -30, -45, 
##     -60, -65, -69, -70, -74, -79, -86, -91, -88, -91, -97, -97, 
##     -96, -93, -107, -91, -90, -92, -92, -88, -86, -93, -86, -101, 
##     -108, -100, -103, -103, -110, -113, -113, -114, -115, -106, 
##     -108, -110, -102, -109, -85, -112, -94, -103, -101, -103, 
##     -100, -99, -98, -101, -101, -98, -101, -104, -103, -102, 
##     -107, -104, -102, -107, -96, -108, -106, -105, -108, -99, 
##     -103, -111, -107, -102, -103, -102, -117, -103, -102, -98, 
##     -92, -99, -99, -100, -98, -94, -98, -97, -101, -100, -93, 
##     -96, -91, -80, -75, -76, -91, -94, -94, -95, -90, -89, -89, 
##     -89, -89, -89, -87, -86, -88, -86, -87, -87, -88, -86, -89, 
##     -91, -93, -92, -92, -86, -86, -86, -82, -75, -52, -48, -40, 
##     -31, -32, -24, -18, -6, -7, 19, -27, -36, -37, -60, -90, 
##     -163, -160, -153, -98, -107, -45, -43, -52, -24, -20, -13, 
##     -14, -22, -15, -27, -47, -56, -61, -65, -63, -55, -43, -34, 
##     -29, -26, -21, -23, -22, -23, -21, -14, -15, -6, -12, -28, 
##     -26, -45, -79, -85, -112, -138, -155, -185, -182, -165, -159, 
##     -143, -151, -131, -36, -43, -23, -19, -30, -8, -1, 9, -6, 
##     -20, -35, -39, -45, -65, -87, -71, -52, -57, -57, -30, -57, 
##     -22, -24, -14, -2, -7, -13, -17, -40, -46, -44, -40, -11, 
##     -19, -13, -4, -3, 6, -20, -31, -31, -56, -79, -85, -92, -123, 
##     -132, -132, -144, -148, -170, -151, -154, -114, -94, -87, 
##     -45, -67, -62, -49, -13, -18, 11, -7, -21, -21, -37, -38, 
##     -51, -55, -57, -60, -57, -52, -44, -44, -28, -19, -15, 5, 
##     11, 20, 3, 3, 3, 7, -3, -23, -35, -40, -49, -68, -122, -143, 
##     -163, -182, -189, -186, -187, -183, -175, -153, -133, -124, 
##     -123, -101, -42, -28, -23, -4, 4, 0, 8, 6, -4, -4, -21, -28, 
##     -37, -44, -37, -9, 21, -407, -480, -523, -541, -500, -490, 
##     -415, -363, -348, -292, -253, -271, -195, 10, -75, 2, -59, 
##     -15, -15, -45, -31, -40, -49, -59, -66, -61, -62, -64, -58, 
##     -63, -67, -56, -56, -28, -32, 24, 37, 64, 42, 27, -27, -23, 
##     -106, -110, -182, -209, -225, -285, -339, -366, -392, -502, 
##     -522, -525, -512, -476, -432, -385, -283, -221, -163, -153, 
##     -212, -246, -160, 13, -64, -165, 43, -113, 48, -43, -65, 
##     -20, -40, -14, -33, -48, -65, -39, -51, -20, 2, 1, 12, 7, 
##     15, -44, -49, -110, -138, -259, -263, -281, -321, -376, -470, 
##     -493, -523, -440, -403, -340, -304, -261, -140, -126, -56, 
##     -96, -2, -35, -27, -2, -33, -61, -45, -59, -68, -83, -89, 
##     -82, -78, -97, -89, -94, -106, -162, -167, -163, -167, -163, 
##     -165, -170, -167, -161, -164, -166, -162, -164, -165, -166, 
##     -165, -162, -162, -163, -163, -161, -165, -161, -166, -159, 
##     -164, -163, -156, -151, -141, -137, -125, -114, -115, -78, 
##     -70, -68, -39, -28, -40, -28, -16, -27, -45, -37, -71, -186, 
##     -178, -50, -48, -57, -85, -115, -128, -133, -101, -55, -100, 
##     -10, -17, 45, -9, -63, -12, -41, -89, -80, -57, -121, -117, 
##     -109, -110, -122, -134, -134, -137, -142, -122, -110, -92, 
##     -69, -61, -49, -30, -58, -19, -20, -14, -4, -69, -68, -141, 
##     -119, -158, -170, -153, -69, -86, -77, -71, -119, -108, -127, 
##     -97, -119, -95, -113, -80, -74, -66, -81, -97, -96, -95, 
##     -100, -103, -98, -96, -103, -109, -112, -126, -94, -89, -66, 
##     -57, -44, -33, -9, -15, -12, -42, -78, -192, -170, -151, 
##     -135, -128, -121, -95, -45, -74, 14, -76, -71, -60, -87, 
##     -87, -83, -93, -89, -98, -87, -83, -74, -59, -16, -13, -22, 
##     -49, -49, -38, -78, -123, -93, -150, -148, -171, -134, -145, 
##     -140, -100, -66, 17, -18, 15, 15, -64, -52, -107, -114, -98, 
##     -96, -86, -90, -112, -102, -98, -103, -125, -112, -114, -114, 
##     -103, -91, -54, -13, -8, -26, -22, -45, -41, -63, -82, -86, 
##     -94, -153, -153, -172, -180, -135, -134, -116, -96, -99, 
##     40, -107, -76, -3, -90, -86, -86, -111, -85, -98, -96, -106, 
##     -99, -96, -95, -76, -59, -21, -24, -14, -25, -66, -83, -116, 
##     -145, -158, -175, -203, -181, -171, -180, -123, -146, -172, 
##     -121, -85, -69, -54, -97, -73, -57, 0, -73, -34, -73, -67, 
##     -47, -95, -102, -79, -85, -99, -99, -103, -78, -68, -54, 
##     -33, -38, -24, -20, -14, -100, -160, -177, -166, -168, -170, 
##     -175, -153, -125, -112, -90, -78, -110, -107, -61, -24, -61, 
##     -10, -86, -67, -92, -103, -104, -91, -87, -98, -93, -97, 
##     -107, -102, -59, -54, -44, -47, -25, -23, -31, -119, -108, 
##     -137, -176, -178, -199, -159, -194, -84, -138, -44, -10, 
##     -59, -81, -37, -74, 4, -70, -90, -65, -90, -97, -100, -90, 
##     -99, -96, -91, -76, -68, -61, -11, -23, -27, -52, -61, -106, 
##     -128, -161, -179, -117, -144, -58, -51, 34, -16, -84, -58, 
##     -54, -102, -100, -59, -99, -81, -87, -89, -92, -90, -80, 
##     -48, -28, -50, -3, -27, -31, -60, -40, -35, -90, -121, -142, 
##     -103, -82, -83, -80, -95, -113, -101, -102, -76, -79, -77, 
##     -58, -35, -74, -26, -71, -91, -159, -161, -160, -161, -161, 
##     -162, -159, -164, -162, -161, -162, -167, -168, -160, -159, 
##     -160, -168, -161, -159, -166, -160, -165, -161, -164, -165, 
##     -166, -165, -160, -163, -164, -164, -160, -163, -164, -359, 
##     -347, -281, -164, -138, -214, -230, -97, -75, -73, -88, -58, 
##     -71, -55, -35, -26, -50, -36, -22, -36, -15, 17, 13, 5, 25, 
##     26, -35, -20, -124, -125, -124, -49, 3, 46, 74, 52, 39, 45, 
##     35, 35, 39, 40, 29, 23, 6, 1, 0, 0, -5, -6, -14, -19, -31, 
##     -26, -27, 1, 16, 30, 51, 99, 94, 100, 65, 46, 39, 35, 49, 
##     39, 40, 42, 17, 14, 14, -4, -7, -10, -10, -8, -9, -7, -5, 
##     0, -5, 7, -332, -345, -352, -366, -369, -371, -377, -370, 
##     -370, -366, -359, -356, -350, -314, -277, -260, -210, -194, 
##     -185, -149, -105, -34, 25, 81, 94, 65, 93, 101, 73, 36, 32, 
##     27, -8, -13, -15, -32, -58, -65, -67, -66, -65, -64, -66, 
##     -75, -76, -72, -73, -81, -82, -92, -104, -94, -92, -90, -86, 
##     -87, -97, -102, -103, -97, -97, -99, -106, -111, -107, -97, 
##     -100, -93, -97, -110, -83, -108, -96, -83, -89, -80, -75, 
##     -68, -61, -70, -59, -62, -64, -63, -65, -56, -52, -51, -40, 
##     -42, -39, -44, -42, -28, -28, -24, -20, 5, 21, 65, 63, 72, 
##     74, 84, 86, 90, 81, 50, 32, 28, -18, -27, -8, -31, -46, -43, 
##     -34, -41, -38, -30, -36, -22, -27, -38, -48, -46, -52, -60, 
##     -66, -62, -49, -35, -23, -1, 21, 36, 69, 71, 70, 72, 65, 
##     66, 59, 54, 59, 51, 45, 31, 32, 20, 26, 23, 18, 11, 2, -5, 
##     -5, -7, -24, -27, -32, -29, -32, -28, -27, -29, -29, -24, 
##     -18, -4, 27, 29, 44, 52, 55, 65, 65, 72, 47, 43, 22, 37, 
##     36, 38, 26, 11, -7, -7, -11, -28, -30, -33, -35, -43, -63, 
##     -70, -66, -66, -75, -74, -74, -69, -72, -77, -71, -59, -56, 
##     -28, -30, -24, 5, 3, -31, -30, -23, -25, -28, -23, -18, -13, 
##     24, 15, 37, 31, 38, 47, 49, 44, 53, 59, 58, 55, 59, 57, 45, 
##     39, 34, 13, -36, -35, -49, -47, -58, -48, -49, -64, -41, 
##     -50, -50, -49, -49, -48, -47, -52, -37, -33, -34, -27, -14, 
##     26, 26, 30, 39, 37, 62, 63, 64, 53, 47, 67, 36, 27, 24, 7, 
##     6, -3, -3, -5, -12, -13, -22, -28, -30, -31, -43, -38, -39, 
##     -33, 7, 59, 56, 56, 66, 68, 63, 55, 49, 50, 52, 33, 22, 29, 
##     27, 15, 11, 14, -6, -42, -55, -30, -33, -24, -38, -48, -32, 
##     -33, -37, -43, -39, -32, -41, -33, -15, 14, 18, 50, 57, 62, 
##     76, 81, 80, 36, 34, 18, 12, 1, -3, -4, -9, -15, -17, -18, 
##     -20, -26, -27, -27, -20, -17, -12, 10, 30, 41, 32, 42, 58, 
##     60, 67, 73, 65, 60, 47, 37, 29, 2, -2, -5, -12, -2, -2, -17, 
##     -18, -9, -12, -23, -31, -28, -39, -36, -2, -13, -14, -13, 
##     -27, -26, -32, -29, -27, -29, -31, -21, -17, -17, -2, 22, 
##     28, 39, 42, 39, 52, 51, 62, 63, 68, 73, 57, 64, 51, 35, 36, 
##     23, 19, 15, 13, 1, -8, -31, -63, -61, -66, -66, -65, -41, 
##     -34, -43, -31, -50, -48, -61, -67, -68, -50, 30, 63, 56, 
##     67, 61, 61, 56, 39, 16, 1, -2, 1, 3, 6, 1, -4, -14, -28, 
##     -33, -34, -35, -37, -30, -24, -8, 1, 22, 45, 37, 58, 71, 
##     59, 61, 60, 55, 31, 8, 1, -1, -3, -11, -16, -30, -46, -58, 
##     -59, -40, -43, -42, -27, -28, -45, -64, -37, -35, 3, 55, 
##     62, 43, 58, 50, 40, 42, 44, 41, 33, 21, 13, 11, -11, -14, 
##     -21, -30, -29, -31, -34, -35, -44, -44, -39, -54, -54, -30, 
##     -17, -14, 6, 4, 57, 66, 59, 56, 53, 35, 26, 27, 33, 25, 2, 
##     -26, -32, -42, -59, -92, -85, -35, -28, -23, -20, -21, -25, 
##     -42, -47, -30, -43, -31, -25, -40, 17, 35, 43, 42, 71, 61, 
##     70, 86, 85, 82, 74, 21, 22, 19, 10, 5, -2, 4, -4, -44, -45, 
##     -49, -44, -29, -33, 0, 2, 4, 29, 67, 69, 63, 48, 51, 27, 
##     23, 24, 15, 8, 34, 36, 59, 72, 66, 63, 50, 46, 22, 17, -12, 
##     -15, -17, -28, -33, -32, -36, -44, -54, -52, -51, -51, -52, 
##     -51, -49, -54, -50, -61, -56, -61, -70, -67, -57, -58, -55, 
##     -54, -56, -48, -38, -43, -35, -32, -34, -34, -30, -30, 29, 
##     46, 69, 84, 112, 118, 131, 139, 102, 77, 58, 12, -15, -34, 
##     -44, -79, -97, -144, -162, -190, -248, -283, -301, -304, 
##     -311, -331, -348, -350, -341, -345, -319, -315, -322, -311, 
##     -293, -286, -240, -163, -67, -35, 9, 5, 32, 76, 63, 108, 
##     93, 89, 74, 59, 55, 25, 23, 5, -20, -109, -129, -138, -144, 
##     -202, -228, -240, -257, -289, -150, -159, -179, -196, -218, 
##     -230, -266, -275, -294, -301, -316, -323, -324, -323, -310, 
##     -289, -285, -278, 26, 25, 21, 15, -23, -38, -39, -42, -49, 
##     -54, -51, -45, -38, -27, -20, -8, 16, 22, 28, 30, 32, 47, 
##     54, 53, 48, 41, 16, -2, -31, -133, -143, -154, -184, -191, 
##     -209, -240, -271, -287, -327, -332, -342, -336, -334, -333, 
##     -334, -327, -326, -316, -310, -300, -276, -268, -257, -242, 
##     -233, -226, -212, -205, -203, -193, -164, -156, -133, -90, 
##     -60, -16, 16, 26, 35, 35, 53, 43, 60, 56, 54, 47, 10, 12, 
##     18, 3, 3, 6, -2, -13, -24, -29, -29, -23, -3, 13, 65, 70, 
##     75, 80, 69, 45, -1, -25, -25, -44, -57, -65, -59, -79, -75, 
##     -94, -103, -148, -154, -167, -179, -177, -254, -259, -260, 
##     -275, -283, -329, -351, -351, -352, -343, -339, -330, -322, 
##     -313, -302, -289, -284, -244, -215, -213, -175, -148, -35, 
##     -14, 23, 24, 35, 32, 27, 44, 46, 63, 81, 44, 51, 30, 24, 
##     8, 8, -1, -5, -32, -34, -37, -36, -40, -36, -40, -47, -52, 
##     -47, -39, -30, -13, -6, 25, 53, 59, 70, -334, -341, -345, 
##     -349, -352, -348, -345, -343, -339, -336, -326, -320, -309, 
##     -305, -287, -261, -259, -253, -215, -196, -177, -103, -105, 
##     -61, -45, -33, -34, -27, -27, -30, -22, 2, 8, 17, 64, 57, 
##     60, 61, 59, 62, 62, 72, 78, 67, 36, 36, -4, 20, -17, -29, 
##     -38, -43, -58, -74, -90, -98, -86, -67, -31, -12, -27, -25, 
##     -5, 4, 7, 28, 29, 47, 54, 61, 45, 43, 44, 55, 50, 48, 24, 
##     22, 19, 11, 0, -2, -16, -17, -4, -1, 4, 5, 14, 23, 31, 35, 
##     55, 53, 40, 26, 11, 3, -2, -11, -13, -15, -10, -11, -14, 
##     -21, -34, -38, -41, -35, -42, -44, -47, -59, -50, -40, -33, 
##     -31, -26, -24, -24, -22, -7, -2, 19, 33, 42, 52, 51, 51, 
##     48, 49, 46, 40, 41, 32, 32, 40, 42, 42, 32, 28, 4, -13, -24, 
##     -8, -6, -4, -1, 17, 23, 39, 35, 29, 26, 23, 30, 35, 39, 29, 
##     32, 48, 49, 65, 54, 52, 69, 59, 60, 43, 39, 35, 30, 29, 19, 
##     7, -5, -17, -14, -35, -24, -17, -9, -2, -82, -80, -73, -64, 
##     -40, -32, -26, -15, -9, 11, 16, 37, 38, 42, 58, 49, 50, 49, 
##     53, 53, 55, 45, 29, 22, 21, 19, 6, -9, -14, -17, -14, -13, 
##     -10, -10, 1, 23, 29, 33, 43, 49, 47, 30, 8, 10, 5, -11, -1, 
##     -6, 3, -14, -17, -5, -26, -19, -17, -34, 13, 16, 21, 30, 
##     35, 33, 39, 47, 49, 42, 38, 11, -35, -43, -55, -50, -48, 
##     -74, -91, 21, -22, -27, -49, -71, -66, -74, -37, -35, -37, 
##     -28, -23, -32, -30, -10, -11, 4, 2, 7, 16, 18, 29, 34, 51, 
##     23, 44, 43, 43, 67, 68, 60, 46, 35, 33, 8, -15, -22, -23, 
##     -37, -35, -38, -38, 83, 86, 83, 67, 52, 46, 10, -53, -71, 
##     -97, -128, -137, -154, -169, -202, -214, -258, -269, -265, 
##     -287, -311, -332, -345, -220, -225, -223, -195, -190, -177, 
##     -165, -168, -166, -62, -53, -53, -20, 2, 44, 35, 51, 53, 
##     64, 56, 50, 41, 57, 43, 43, 35, -162, -162, -148, -108, -31, 
##     -30, 11, 40, 50, 50, 29, -186, -195, -207, -236, -293, -326, 
##     -330, -338, -425, -398, -99, -105, -102, -112, -126, -138, 
##     -139, -139, -158, -173, -174, -175, -177, -174, -164, -166, 
##     -160, -163, -159, -161, -149, -173, -174, -179, -184, -186, 
##     -180, -180, -176, -164, -166, -157, -155, -156, -165, -164, 
##     -160, -166, -167, -166, -39, -6, -8, -12, -20, -15, -31, 
##     -18, -11, -39, -42, -67, -74, -90, -103, -103, -113, -118, 
##     -163, -177, -210, -216, -216, -185, -174, -145, -140, -93, 
##     -101, -39, -33, -11, -15, -39, 1, -13, -31, -25, -28, -41, 
##     -73, -80, -91, -95, -38, -23, -6, -4, -3, -8, -19, 1, -26, 
##     -18, -26, -33, -43, -49, -58, -76, -90, -102, -107, -113, 
##     -115, -122, -126, -135, -143, -145, -148, -141, -145, 66, 
##     56, 53, 53, 55, 75, 119, 131, 141, 167, 150, 133, 134, 136, 
##     58, 18, -42, -53, -41, -12, 8, 144, 153, 143, 113, 78, 49, 
##     7, -9, 13, 31, 32, 44, 49, 106, 121, 73, 140, 104, 126, 150, 
##     124, 136, 145, 147, 139, 135, 94, 82, 69, 69, 67, 157, 153, 
##     155, 159, 120, 121, 87, 78, 68, 38, 35, 35, 28, 58, 68, 88, 
##     94, 91, 119, 118, 115, 118, 150, 130, 122, 98, 83, 32, 32, 
##     21, 43, 58, 77, 95, 112, 101, 94, 85, 91, 113, 161, 177, 
##     148, 116, 124, 63, 62, 52, 51, 48, 42, 38, 41, 42, 50, 73, 
##     99, 113, 122, 143, 146, 151, 145, 136, 132, -67, -65, -20, 
##     -24, -29, -31, -23, -24, -17, -22, -27, -36, -44, -56, -55, 
##     -49, -51, -94, -150, -181, -196, -201, -205, -198, -199, 
##     -187, -180, -168, -152, -143, 23, -57, -146, -171, -254, 
##     -274, -278, -303, -339, -361, -380, -434, -460, -469, -473, 
##     -441, -442, -424, -399, -366, -338, -316, 31, 27, 24, 7, 
##     6, -1, -7, -19, -22, -21, -75, -106, -124, -132, -157, -160, 
##     -180, -191, -216, -292, -303, -357, -344, -274, -262, -262, 
##     -213, -193, -190, -174, -169, -159, -119, -106, -102, -13, 
##     -6, 13, 12, 5, 39, 50, 60, 67, 69, 72, 54, 37, 32, 14, -9, 
##     -11, -51, -57, -64, -81, -80, -100, -126, -155, -172, -220, 
##     -226, -248, -347, -346, -328, -311, -287, -278, -277, -264, 
##     -141, -162, -177, -202, -214, -249, -277, -328, -350, -336, 
##     -298, -286, -267, -171, -118, -95, -87, -78, -59, -47, 7, 
##     8, 35, 27, 44, 53, 60, 72, 69, 67, 66, 67, 56, 48, 29, 13, 
##     -3, -15, -31, -46, -58, -61, -104, -121, -146, -164, -187, 
##     -223, -260, -295, -354, -361, -337, -329, -315, -313, -279, 
##     -255, -234, -168, -149, -132, -60, -59, -82, -50, -11, -34, 
##     -36, 35, 35, 45, 69, 43, -20, 11, 36, 37, 60, 81, 98, 118, 
##     166, 133, 102, 128, 145, 148, 142, 131, 132, 115, 119, 91, 
##     65, 47, 40, 29, 31, 19, 34, 37, 67, 60, 88, 111, 84, 117, 
##     123, 117, 114, 142, 133, 159, 117, 130, 165, 131, 92, 83, 
##     51, 63, 53, 91, 89, 118, 111, 144, 165, 150, 174, 155, 215, 
##     218, 200, 176, 149, 147, 153, 146, 152, 155, 151, 160, 164, 
##     175, 173, 174, 176, 172, 171, 149, 144, 146, 139, 132, 119, 
##     41, -100, -156, -76, -67, 4, 65, 94, 68, 111, 155, 131, 133, 
##     141, 131, 162, 169, 160, 172, 168, 160, 158, 160, 165, 168, 
##     181, 188, 189, 194, 198, 188, 171, 126, 113, 70, 52, 45, 
##     27, -74, -149, -170, -177, -180, -162, -118, -97, -74, -64, 
##     -12, 1, 145, 185, 194, 184, 168, 172, 163, 149, 104, 77, 
##     44, 23, -13, -44, -89, -170, -186, -194, -179, -150, -109, 
##     -101, -81, -52, -66, -55, -4, -9, 32, 43, 83, 101, 93, 122, 
##     117, 138, 149, 143, 179, 176, 195, 170, 163, 174, 178, 191, 
##     188, 193, 194, 183, 161, 157, 137, 113, 102, 18, 0, -21, 
##     -46, -108, -150, -162, -151, -159, -170, -160, -142, -114, 
##     -120, 9, 19, 95, 104, -233, -207, -188, -143, -124, -115, 
##     -106, -71, -77, -56, -22, -16, 24, 53, 34, 114, 87, 60, 98, 
##     130, 129, 162, 136, 132, 198, 214, 199, 183, 180, 162, 169, 
##     165, 163, 156, 158, 156, 157, 167, 173, 180, 195, 195, 188, 
##     179, 168, 160, 150, 127, 118, 115, 86, 59, 17, 6, -9, -25, 
##     -61, -127, -139, -166, 159, 159, 168, 180, 179, 186, 195, 
##     194, 197, 180, 176, 142, 101, 88, 52, 30, -26, -134, -155, 
##     -167, -174, -155, -144, -136, -138, -35, -33, 40, 40, 77, 
##     102, 158, 155, 149, 186, 179, 160, 184, 175, 170, 185, 183, 
##     174, 181, 185, 170, 184, 175, 172, 172, 178, 183, 194, 192, 
##     194, 194, 154, 146, 108, 111, 81, 72, 42, 32, -17, -47, -72, 
##     -182, -130, -122, -113, -86, -66, -2, 34, 26, 32, 83, 118, 
##     107, 109, 175, 164, 193, 178, 189, 193, 200, 198, 191, 191, 
##     178, 162, 106, 75, 39, -4, -18, -51, -92, -165, -198, -221, 
##     -206, -184, -164, -152, -106, -94, -58, -55, 39, 124, 91, 
##     110, 142, -38, -31, -35, -22, -12, 4, -6, 17, 8, 56, 33, 
##     73, 39, 62, 64, 59, 25, 14, 9, -10, -27, -38, -29, -24, -5, 
##     -6, -20, -26, -37, -79, -76, -74, -46, -57, -31, -13, 23, 
##     27, 28, 39, 23, 49, 56, 49, 50, 47, 54, 65, 55, 66, 76, 62, 
##     101, 101, 94, 72, 52, -2, -18, -35, -24, -26, -26, -5, 10, 
##     21, 25, 32, 42, 48, 63, 53, 60, 57, 36, 18, -2, -33, -52, 
##     -64, -88, -86, -92, -109, -151, -158, -232, -245, -241, -225, 
##     -223, -202, -195, -196, -175, -157, -150, -139, -130, -128, 
##     -50, -11, 50, 42, 57, 79, 56, 11, 18, 20, 40, 46, 51, 49, 
##     57, 58, 60, 72, 75, 88, 100, 105, 86, 78, 81, 76, 79, 71, 
##     70, 58, 61, 35, 29, 1, -44, -64, -72, -75, -87, -86, -93, 
##     -98, -123, -161, -180, -225, -250, -255, -214, -212, -209, 
##     -190, -193, -162, -158, -122, -92, -69, -4, 4, 46, 51, 59, 
##     56, 61, 61, 91, 94, 98, 100, 104, 110, 108, 105, 99, 88, 
##     87, 78, 83, 80, 57, 42, 41, 51, 16, -34, -60, -120, -118, 
##     -126, -137, -138, -142, -151, -151, -159, -182, -192, -194, 
##     -197, -216, -239, -246, -234, -222, -190, -172, -161, -145, 
##     -137, -130, -120, -89, -56, 12, 11, 30, 63, 59, 57, 77, 74, 
##     74, 92, 92, 95, 94, 87, 84, 88, 97, 90, 95, 92, 59, 50, 34, 
##     0, -22, -35, -45, -131, -103, -52, -40, -20, 2, 74, 67, 62, 
##     79, 53, 67, 100, 99, 100, 92, 84, 87, 85, 81, 88, 96, 90, 
##     81, 72, 19, -6, -65, -80, -90, -108, -126, -131, -168, -171, 
##     -182, -206, -226, -232, -239, -239, -240, -223, -215, -210, 
##     -205, -193, -131, -140, -128, -77, -59, 24, 29, 31, 32, 38, 
##     35, 46, 49, 60, 18, 17, 8, 11, -9, -72, -74, -134, -157, 
##     -218, -235, -269, -282, -287, -256, -233, -178, -153, -80, 
##     -11, -18, -23, -16, -12, 1, -7, -15, -28, -31, -44, -53, 
##     -73, -81, -89, -95, -99, -100, -102, -98, -89, -79, -72, 
##     -60, -43, -34, -2, 3, 9, 34, 20, -33, -25, -39, -74, -94, 
##     -129, -167, -206, -229, -229, -244, -248, -257, -243, -236, 
##     -217, -190, -87, -33, -35, -57, -13, 6, -11, -4, -14, -25, 
##     -42, -45, -58, -61, -79, -80, -86, -92, -99, -100, -104, 
##     -101, -99, -97, -97, -99, -78, -70, -61, -51, -36, -27, -15, 
##     -2, -2, -5, -22, -39, -30, -40, -51, -72, -89, -114, -113, 
##     -134, -134, -137, -141, -141, -146, -146, -131, -136, -109, 
##     -105, -94, -77, -78, -65, -49, -25, -27, -23, -13, -14, -13, 
##     -3, -3, -1, -11, -30, -66, -161, -182, -239, -276, -304, 
##     -316, -347, -391, -429, -458, -460, -381, -274, -260, -235, 
##     -209, -102, -53, -19, -29, 3, 17, -3, 12, -10, -23, -26, 
##     -45, -73, -108, -110, -106, -107, -107, -109, -109, -101, 
##     -101, -95, -83, -74, -63, -45, -20, -9, 23, 15, 10, 6, -26, 
##     -29, -53, -74, -215, -251, -346, -365, -424, -457, -483, 
##     -497, -498, -482, -458, -395, -280, -262, -232, -197, -70, 
##     -24, -13, -9, 10, 26, -30, -47, -54, -79, -81, -95, -103, 
##     -110, -112, -115, -110, -100, -97, -95, -85, -77, -10, 4, 
##     15, 21, 11, 15, 13, -26, -29, -52, -82, -194, -225, -242, 
##     -296, -362, -402, -446, -553, -437, -365, -337, -291, -232, 
##     -205, -181, -141, -49, -21, -8, -25, -8, 26, -1, 24, 45, 
##     29, -3, -19, -43, -57, -56, -74, -93, -94, -99, -99, -104, 
##     -104, -87, -27, -21, 23, 39, 46, 36, 17, -18, -40, -119, 
##     -165, -312, -338, -349, -381, -478, -560, -583, -527, -420, 
##     -399, -358, -295, -244, -213, -101, -86, -35, 19, 16, -11, 
##     -14, -25, -34, -49, -84, -84, -104, -103, -99, -107, -109, 
##     -105, -105, -108, -88, -79, -55, 4, 25, 47, 42, 46, 43, 16, 
##     -19, -25, -112, -167, -203, -257, -337, -354, -382, -423, 
##     -554, -581, -530, -486, -447, -422, -407, -297, -280, -208, 
##     -167, -67, -63, -19, -13, -13, -9, -12, -5, -8, -2, -33, 
##     -43, -79, -87, -91, -115, -124, -128, -125, -125, -123, -123, 
##     -116, -117, -110, -98, -88, -51, -48, -37, -28, 2, 13, 14, 
##     14, 4, -20, -25, -37, -80, -132, -168, -204, -219, -497, 
##     -533, -547, -555, -546, -514, -442, -412, -350, -334, -312, 
##     -253, -214, -119, -100, -44, -42, -40, 0, -11, -4, -16, -45, 
##     -52, -57, -70, -113, -120, -110, -115, -115, -113, -102, 
##     -427, -528, -521, -440, -402, -348, -288, -271, -236, -79, 
##     -71, 1, -18, -15, 23, -13, -21, -44, -53, -53, 34, 20, 5, 
##     -5, -47, -56, -108, -152, -239, -236, -143, -63, -67, -20, 
##     41, 36, 53, 31, -3, -14, -28, -63, -69, -64, -62, -58, -50, 
##     -43, -39, -41, -35, -29, -27, -5, -5, 5, 15, 21, -16, -22, 
##     -33, -58, -60, -93, -103, -113, -131, -171, -184, -194, -218, 
##     -226, -234, -215, -200, -165, -101, -33, -54, -36, -15, -22, 
##     -12, 3, -12, 0, -17, -17, -34, -36, -54, -55, -46, -44, -39, 
##     -41, -42, -37, -40, -32, -32, -32, -1, 10, 21, 19, 25, 32, 
##     27, -5, -7, -22, -37, -49, -91, -156, -170, -190, -198, -227, 
##     -220, -205, -194, -185, -162, -154, -83, -66, 13, -3, -13, 
##     17, 5, -11, 13, -6, -17, -18, -50, -55, -61, -66, -31, -15, 
##     -9, -3, 2, -2, -5, 10, 22, -23, -34, -32, -60, -109, -127, 
##     -182, -213, -224, -211, -161, -120, -123, -111, -70, -57, 
##     -6, -14, -13, -19, -30, -31, -48, -64, -64, -45, -40, -31, 
##     -29, -23, -10, 28, 30, 27, 23, 13, 3, -15, -33, -68, -95, 
##     -98, -142, -145, -168, -183, -263, -218, -214, -178, -121, 
##     -48, -21, 13, -23, -6, 15, 3, -63, -85, -88, -90, -95, -99, 
##     -103, -111, -117, -110, -111, -111, -111, -109, -108, -109, 
##     -113, -103, -108, -106, -102, -99, -106, -99, -98, -96, -91, 
##     -92, -86, -77, -66, -55, -53, -42, -23, -17, 3, 14, 18, 9, 
##     -35, -49, -107, -94, -66, -60, -64, -36, -28, -20, -5, 10, 
##     21, 24, 33, 54, 65, 57, 54, 56, 45, 12, 1, -17, -43, -47, 
##     -144, -165, -214, -254, -345, -338, -339, -312, -294, -279, 
##     -273, -253, -194, -170, -140, -83, -87, -54, -50, -35, -12, 
##     33, 35, 38, 38, 45, 46, 43, 39, 39, 32, -160, -180, -194, 
##     -327, -437, -496, -397, -342, -304, -231, -235, -178, -129, 
##     -115, -169, -125, -100, 69, -8, -57, -53, -56, -61, -71, 
##     -82, -110, -114, -175, -167, -168, -157, -155, -154, -154, 
##     -141, -140, -144, -144, -148, -146, -145, -153, -152, -151, 
##     -150, -152, -153, -150, -154, -149, -153, -149, -149, -152, 
##     -150, -151, -148, -150, -156, -151, -151, -154, -153, -152, 
##     -157, -157, -156, -156, -155, -158, -157, -156, -153, -156, 
##     -157, -155, -157, -156, -158, -156, -157, -160, -156, -155, 
##     -156, -158, -156, -152, -127, -119, -108, -93, -76, -59, 
##     -52, -14, 7, -8, -38, -43, -35, -32, -34, -33, -34, -33, 
##     -29, -32, -78, -57, -54, -1, 10, 17, 3, -11, -34, -55, -33, 
##     -25, -40, -28, -25, -23, -33, 74, 55, 66, 20, -81, -73, -138, 
##     -154, -285, -312, -359, -361, -313, -307, -303, -250, -239, 
##     -167, -161, -193, -112, -76, -107, -114, -21, -43, 23, -30, 
##     17, 37, 10, 9, 1, -4, 23, 21, 38, 60, 43, 37, 15, -66, -90, 
##     -103, -126, -163, -207, -227, -331, -358, -366, -314, -240, 
##     -184, -127, -47, -99, -166, -114, -1, -40, -83, -78, -19, 
##     87, 54, 46, 59, 47, 3, -14, 36, 54, 56, 37, 11, -24, -46, 
##     -61, -83, -110, -111, -183, -195, -264, -379, -338, -318, 
##     -288, -261, -247, -242, -209, -174, -131, -33, 36, -65, 67, 
##     -26, 42, 116, 56, 43, 34, 29, 49, 55, 52, 8, -15, -51, -134, 
##     -237, -250, -274, -322, -350, -361, -358, -346, -313, -274, 
##     -228, -198, -158, -143, -85, -132, -68, -61, 10, 34, 15, 
##     30, 25, 15, 8, 13, 18, 1, 16, 28, 39, 41, 25, 10, -5, -21, 
##     -61, -137, 3, -1, 8, 9, 25, 33, 23, 34, 38, 46, 16, 30, 18, 
##     -2, -29, -61, -91, -106, -113, -232, -330, -346, -381, -323, 
##     -293, -253, -276, -166, -195, -116, -65, -102, -79, 52, -21, 
##     49, 15, 32, 50, 39, 54, 58, 40, 33, -2, -137, -163, -235, 
##     -287, -318, -369, -373, -329, -328, -309, -285, -291, -224, 
##     -201, -206, -180, -101, -82, -59, -39, -49, 46, 53, 63, 42, 
##     35, 33, 34, 46, 32, 49, 36, 32, 11, -21, -42, -65, -101, 
##     -175, -165, -252, -274, -301, -325, -321, -258, -250, -233, 
##     -196, -123, -82, -85, -47, -73, 5, 1, -32, -20, 20, -3, 22, 
##     29, 25, 26, 22, 29, 53, 32, 26, 17, 3, -47, -53, -73, -88, 
##     -91, -212, -221, -302, -373, -389, -390, -354, -340, -327, 
##     -275, -254, -158, -205, -242, -268, -375, -365, -336, -300, 
##     -290, -144, -73, -63, -13, 86, 35, 26, 15, -15, -32, -23, 
##     -38, -9, -2, -13, -18, -22, -19, -13, -21, -15, -13, -13, 
##     -9, -1, -2, 3, 18, 20, 42, 49, 54, -3, -10, -12, -31, -31, 
##     -41, -56, -57, -69, -65, -66, -70, -75, -58, -40, -39, -2, 
##     11, 28, 43, 48, -44, -42, -48, -41, -50, -59, -50, -53, -56, 
##     -53, -56, -59, -71, -59, -54, -54, -38, -20, -15, -20, 9, 
##     36, 27, 25, 49, 61, 48, 29, 26, 20, 0, 11, -4, -9, -13, -36, 
##     -38, -41, -43, -50, -54, -51, -63, -63, 49, 52, 47, 39, 33, 
##     34, 33, 34, 11, 8, 12, 29, 33, 32, 32, 38, 39, 43, 48, 35, 
##     144, 129, 121, 115, 72, 49, 45, 27, 32, 16, -3, -11, -44, 
##     -58, -64, -152, -174, -221, -243, -253, -249, -228, -213, 
##     59, 67, 72, 77, 91, 82, 83, 81, 80, 75, 77, 48, 19, -1, -35, 
##     -54, -86, -97, -105, -131, -164, -172, -198, -205, -209, 
##     -216, -226, -241, -229, -228, -237, -218, -213, -214, -188, 
##     -192, -184, -172, -33, -13, -20, -9, 27, 53, 69, 74, 85, 
##     88, -95, -111, -150, -182, -198, -202, -190, -167, -160, 
##     -154, -152, -154, -149, -139, -114, -77, -51, -61, -55, -36, 
##     -6, 19, 29, 23, 58, 79, 69, 84, 83, 84, 82, 82, 80, 81, 78, 
##     82, 72, 85, 86, 94, 86, 90, 75, 76, 64, 56, 39, 14, -18, 
##     -21, -44, -58, -84, -103, -106, -121, -130, -130, -156, -168, 
##     -187, -186, -170, -149, -148, -144, -141, -144, -140, -138, 
##     -131, -112, -110, -108, -63, -10, 46, 43, 75, 75, 65, 75, 
##     73, 73, 65, 66, 64, 64, 64, 62, 68, 73, 105, 110, 116, 120, 
##     101, 102, 89, 73, 47, 36, -57, -62, -79, -75, -92, -137, 
##     -144, -174, -187, -161, -155, -144, -139, -145, -142, -132, 
##     -102, -96, -96, -90, -48, 3, 40, 93, 95, 82, 61, 60, 58, 
##     63, 63, 59, 58, 62, 73, 77, 92, 100, 107, 99, 100, 104, 105, 
##     116, 94, 80, 51, -35, -23, 28, 44, 39, 44, 50, 84, 75, 61, 
##     61, 37, 37, 38, 41, 46, 17, -36, -52, -124, -131, -191, -188, 
##     -206, -217, -230, -226, -224, -224, -211, -203, -198, -184, 
##     -190, -177, -168, -168, -140, -133, -124, -103, -82, 73, 
##     73, 65, 61, 71, 82, 86, 88, 123, 137, 139, 134, 89, 66, 51, 
##     36, 15, -28, -24, -63, -218, -215, -170, -126, -127, -71, 
##     -31, 8, 35, 38, 52, 50, 43, 59, 64, 53, 49, 57, 63, 53, 48, 
##     43, 48, 37, 32, 36, 40, 40, 45, 41, 39, 35, 36, 37, 33, 23, 
##     26, 29, 30, 52, 43, 49, 62, 38, 43, 54, 56, 58, 90, 101, 
##     126, -70, -54, -50, -57, -55, -51, -49, -33, -16, 17, 16, 
##     20, 36, 45, 51, 47, 41, 44, 80, 54, 61, 30, -1, -9, -24, 
##     -16, -20, -25, -32, -22, -46, -43, -45, -52, -41, -27, -24, 
##     -30, -33, -42, -44, -48, -50, -37, -25, 2, 7, 43, 42, 76, 
##     72, 58, 48, 64, 40, 36, 26, 44, 15, 59, 46, 44, 33, 39, 22, 
##     17, 7, 8, 8, 2, -27, -25, -35, -36, -33, -26, -28, -61, -86, 
##     -113, -127, -95, -87, -81, -39, -5, -2, 23, 60, 60, 51, 52, 
##     51, 41, 35, 14, 15, 13, 4, 0, -10, -12, -7, -2, -52, -63, 
##     -62, -66, -72, -70, -68, -48, -48, -45, -44, -41, -45, -44, 
##     -38, -30, -30, -25, 0, -8, 14, 19, 28, 38, 38, 72, 67, 25, 
##     40, 34, 32, 13, 1, -12, -15, -18, -26, 2, 6, 9, 12, 15, 20, 
##     36, 37, 43, 51, 58, 45, 46, 50, 40, 42, 32, 38, 28, 29, 26, 
##     20, -13, -18, -27, -45, -57, -74, -80, -80, -79, -77, -73, 
##     -62, -60, -55, -45, -32, -9, 0, 23, 26, 29, 40, 53, 45, 48, 
##     59, 49, 49, 49, 50, 48, 43, 48, 49, 40, 45, 37, 25, 16, 23, 
##     8, 5, -7, -7, -38, -53, -59, -64, -76, -83, -81, -77, -70, 
##     -61, -47, -38, -30, -35, -35, -28, -31, -18, -13, 0, 3, 21, 
##     23, 20, -7, 6, 25, 43, 66, 77, 61, 46, 43, 43, 44, 42, 29, 
##     12, 15, 9, 4, 3, -14, -19, -26, -30, -27, -23, -26, -30, 
##     -25, -33, -39, -41, -59, -88, -105, -101, -109, -133, -150, 
##     -189, -193, -227, -240, -231, -218, -201, -190, -172, -165, 
##     -148, -55, -52, -91, -92, -103, -128, -134, -147, -167, -164, 
##     -182, -195, -202, -199, -212, -209, -203, -188, -187, -170, 
##     -171, -164, -134, -128, -112, -93, -77, -78, -73, -56, -19, 
##     -9, 56, 60, 73, 93, 103, 108, 106, 111, 99, 90, 67, 74, 44, 
##     41, -51, 44, 40, 34, 30, -6, -11, -25, -17, -10, -6, -8, 
##     0, -2, 4, 9, 16, 36, 44, 42, 50, 53, 54, 54, 54, 44, 41, 
##     26, 18, 26, 51, 33, 44, 55, 37, 54, 42, 35, 31, 22, 6, 0, 
##     -19, -24, -22, -25, -20, -10, 38, 2, 0, -9, -16, -15, 8, 
##     9, 22, 35, 39, 38, 43, 36, 37, 44, 47, 48, 58, 58, 47, 45, 
##     -2, 1, 6, 11, 13, 31, 38, 59, 67, 62, 63, 68, 62, 64, 48, 
##     25, 11, 12, -18, -4, -14, -21, -260, -241, -181, -179, -131, 
##     -115, -103, -56, -5, -63, 25, 53, 39, 53, 54, 69, 64, 49, 
##     55, 40, 36, 3, -11, -137, -129, -163, -255, -347, -355, -311, 
##     -293, -286, -232, -244, -166, -141, -176, -56, -69, -112, 
##     8, -58, -1, 14, 42, 17, -11, -15, -22, -22, -25, -23, -26, 
##     -28, -27, -25, -32, -31, -25, -23, -21, -19, -24, -27, -28, 
##     -23, -21, -65, -112, -126, -85, 5, -140, -97, -96, -113, 
##     -80, -37, -9, -17, -42, -49, -34, -35, -25, -27, -36, -35, 
##     -33, -32, -37, -40, -35, -4, 22, 18, 22, -29, -60, -132, 
##     -166, -356, -408, -463, -481, -485, -469, -361, -341, -303, 
##     -247, -138, -180, -130, -109, 5, 12, -18, -24, -28, -37, 
##     -49, -57, -67, -73, -94, -94, -101, -104, -106, -99, -97, 
##     -91, -73, -61, -59, -40, -27, 8, -1, -20, -24, -62, -80, 
##     -69, -116, -160, -195, -212, -229, -246, -233, -219, -216, 
##     -209, -203, -176, -145, -131, -92, -81, -47, -1, 25, 34, 
##     18, -12, -27, -24, -18, -38, -49, -87, -91, -101, -109, -115, 
##     -106, -112, -117, -108, -111, -115, -107, -102, -103, -103, 
##     -74, -36, -33, -27, -8, -6, -9, -5, -84, -96, -116, -145, 
##     -191, -226, -232, -231, -236, -224, -214, -192, -138, -138, 
##     -111, -87, -32, -22, 7, -20, 10, -13, 3, -4, -21, -31, -182, 
##     -170, -167, -171, -160, -116, -123, -105, -65, -30, -6, 12, 
##     61, 94, 99, 133, 159, 175, 169, 163, 185, 169, 168, 154, 
##     150, 151, 127, 158, 111, 139, 197, 215, 200, 206, 147, 149, 
##     168, 178, 182, 195, 185, 172, 162, 133, 119, 108, 90, 88, 
##     49, 8, 108, 85, 115, 132, 147, 197, 202, 208, 169, 143, 143, 
##     146, 157, 155, 149, 143, 136, 131, 125, 31, 7, -14, -44, 
##     -77, -192, -177, -136, -119, -131, -128, -84, -23, 2, 8, 
##     43, 76, 192, -180, -169, -165, -147, -112, -102, -96, -71, 
##     -59, -65, -59, -18, -38, -19, -12, 29, 32, 49, 70, 76, 68, 
##     49, 42, 37, 24, -5, -13, -36, -91, -108, -53, -68, -81, -84, 
##     -92, -87, -88, -112, -172, -211, -266, -294, -306, -315, 
##     -322, -292, -211, -197, -208, -182, -143, -119, -114, -99, 
##     -307, -305, -288, -225, -205, -99, -33, -42, -30, -11, -33, 
##     -7, -25, -26, -28, -63, -83, -94, -104, -102, -109, -141, 
##     -157, -167, -176, -186, -200, -204, -211, -214, -220, -221, 
##     -227, -226, -221, -221, -216, -216, -211, -213, -211, -88, 
##     28, 8, -346, -333, -332, -312, -286, -218, -140, -17, 29, 
##     47, 25, 60, 61, 63, 51, 88, 71, 71, 65, 43, 33, 17, 12, -20, 
##     -30, 6, -1, 32, 41, 51, 115, 120, 132, 129, 139, 126, 99, 
##     78, 41, 4, -77, -115, -238, -256, -285, -292, -303, -336, 
##     -353, -380, -411, -383, -330, -310, -287, -283, -275, -244, 
##     -229, -207, -157, -135, -88, -36, -10, 37, 30, 41, 76, 84, 
##     65, 81, 79, 36, 3, -6, -23, -17, -39, -36, -26, -30, 23, 
##     38, 61, 57, 62, 80, 88, 111, 124, 161, 157, 157, 133, 70, 
##     -64, -142, -169, -221, -274, -296, -353, -393, -447, -460, 
##     -467, -470, -447, -432, -422, -372, -352, -335, -300, -273, 
##     -223, -217, -171, -144, -110, -65, -47, -69, -18, -33, 23, 
##     49, 68, 76, 69, 61, 26, 14, 7, -24, -24, -25, -26, -119, 
##     -168, -257, -302, -349, -389, -416, -437, -462, -473, -473, 
##     -482, 76, 79, 87, 90, 87, 92, 82, 60, 49, -16, -135, -145, 
##     -181, -189, -202, -222, -277, -334, -367, -381, -358, -351, 
##     -334, -312, -305, -287, -239, -221, -203, -134, -101, -88, 
##     -50, -57, -18, -46, -22, 10, 16, 16, 36, 46, 53, 69, 53, 
##     47, 41, 41, 31, 23, 17, 13, -8, -43, -64, -82, -122, -133, 
##     -143, -210, -229, -246, -346, -358, -368, -368, -358, -294, 
##     -282, -275, -255, -231, -215, -185, -134, -142, -105, -103, 
##     -82, -82, -46, -48, -69, -30, -35, -10, 4, 17, 33, 37, 52, 
##     74, 65, 53, 46, 24, 10, -36, -55, -77, -99, -132, -142, -154, 
##     -175, -191, -199, -202, -218, -234, -304, -334, -354, -361, 
##     -362, -360, -349, -328, -312, -301, -288, -274, -186, -149, 
##     -145, -78, -55, -60, -47, -50, -37, -20, -20, -22, 26, 58, 
##     66, 71, 62, 56, 52, 40, 43, 47, 55, 37, 30, 5, -133, -151, 
##     -164, -173, -186, -196, -210, -212, -232, -273, -320, -337, 
##     -351, -350, -352, -350, -336, -335, -308, -275, -256, -239, 
##     -95, -93, -94, -97, -99, -97, -94, -100, -93, -94, -92, -92, 
##     -94, -91, -88, -95, -90, -86, -84, -80, -71, -54, -39, -20, 
##     25, 32, 45, 57, 23, -95, -120, -197, -231, -285, -335, -347, 
##     -369, -402, -441, -454, -488, -482, -470, -465, -470, -474, 
##     -477, -478, -477, -475, -472, -466, -456, -412, -351, -326, 
##     -258, -246, -166, -82, -71, -53, -41, -28, -34, 2, 17, 35, 
##     34, 6, 11, 22, 26, 26, 26, 21, 20, 43, 56, 75, 83, 35, 12, 
##     -27, -50, -63, -92, -115, -141, -72, -43, -32, -9, -17, 6, 
##     36, 52, 63, 65, 82, 68, 76, 60, 51, 46, 44, 40, 46, 51, 54, 
##     56, 61, 81, 71, 63, 42, 30, -2, -31, -57, -82, -142, -164, 
##     -226, -238, -248, -314, -349, -445, -508, -513, -499, -482, 
##     -480, -471, -454, -441, -416, -408, -403, -356, -249, -141, 
##     -105, -98, -63, 42, 36, 67, 72, 71, 63, 60, 51, 42, 48, 52, 
##     67, 104, 97, 29, -67, -123, -147, -220, -261, -347, -391, 
##     -417, -538, -511, -497, -476, -457, -448, -407, -398, -372, 
##     -340, -304, -232, -213, -205, -169, -124, -88, -34, 0, 22, 
##     39, 21, 33, 49, 57, 52, 51, 49, 58, 66, 68, 79, 61, 48, 31, 
##     2, -10, -29, -50, -134, -170, -182, -202, -263, -275, -295, 
##     -318, -353, -373, -422, -463, -458, -457, -435, -409, -376, 
##     -347, -338, -323, -278, -271, -252, -218, -210, -196, -163, 
##     -60, -42, -11, 17, 13, 37, 22, 23, 15, 20, 28, 32, 33, 41, 
##     36, 44, 52, 64, 64, 62, 61, 50, 33, 12, -11, -56, -79, -102, 
##     -234, -315, -341, -369, -379, -392, -409, -448, -452, -456, 
##     -434, -401, -386, -357, -329, -311, -284, -271, -251, -175, 
##     -139, -106, -94, -73, -32, -39, -25, -23, -24, -36, -32, 
##     -26, -21, -34, -23, -9, 7, 8, 11, 7, 36, 54, 48, 11, -81, 
##     -119, -164, -188, -250, -284, -288, -382, -398, -418, -428, 
##     -437, -439, -447, -444, -440, -433, -420, -357, -343, -308, 
##     -227, -192, -157, -148, -50, -16, -12, -26, 17, 18, 165, 
##     153, 139, 137, 139, 135, 107, 104, 71, 88, 80, 95, 82, 78, 
##     74, 68, 63, 67, 63, 65, 56, 53, 52, 67, 103, 150, 173, 292, 
##     271, 227, 130, 5, -6, -16, -54, -316, -419, -516, -225, -93, 
##     -98, -12, 53, 18, 101, 127, 192, 164, 171, 151, 168, 164, 
##     160, 139, 136, 114, 107, 89, 93, 102, 119, 132, 147, 166, 
##     176, 196, 245, 239, 221, 232, 175, 138, 94, 76, -71, -204, 
##     -465, -477, -490, -262, -179, -174, -110, -114, -43, -21, 
##     140, 63, 58, 162, 152, 139, 185, 140, 139, 139, 148, 104, 
##     107, 102, 100, 75, 77, 53, 58, 66, 70, 112, 116, 172, 202, 
##     198, 214, 199, 184, 179, 182, 163, 152, 111, 61, -16, -204, 
##     -458, -154, -134, -95, -70, -63, 63, 67, 75, 83, 91, 101, 
##     98, 100, 99, 102, 103, 95, 98, 95, 84, 68, 54, 36, 10, 12, 
##     4, -4, -13, -25, -32, -49, -121, -134, -151, -148, -146, 
##     -152, -193, -225, -253, -205, -203, -197, -164, -161, -118, 
##     -70, -57, -59, -32, -1, -25, 26, 55, 65, 58, 78, 70, 69, 
##     76, 89, 93, 98, 103, 99, 90, 84, 72, 81, 85, 87, 88, 88, 
##     84, 53, -9, -58, -73, -98, -136, -128, -130, -125, -138, 
##     -138, -144, -158, -156, -202, -211, -266, -250, -238, -235, 
##     -227, -231, -156, -113, -106, -102, -78, -67, -62, -53, -33, 
##     0, 19, 7, 31, 16, 15, 32, 34, 54, 72, 72, 104, 108, 104, 
##     99, 99, 100, 95, 77, 29, 1, -16, -37, -41, -47, -50, -58, 
##     -67, -88, -100, -100, -130, -145, -152, -174, -176, -180, 
##     -174, -182, -210, -224, -258, -258, -241, -233, -236, -232, 
##     -218, -202, -188, -175, -112, -102, -35, -9, 19, 8, 58, 53, 
##     54, 68, 68, 70, 75, 73, 70, 56, 51, 48, 78, 84, 89, 102, 
##     112, 103, 99, 91, 87, 80, 74, 75, 72, 52, 45, 31, 11, -9, 
##     -14, -46, -63, -85, -97, -97, -109, -138, -139, -140, -156, 
##     -148, -172, -176, -173, -177, -174, -171, -174, -194, -215, 
##     -282, -311, -301, -271, -244, -238, -222, -220, -204, -200, 
##     -191, -194, -172, -174, -147, -124, -55, -39, -56, -26, -28, 
##     6, -5, 20, 28, 49, 52, 53, 46, 55, 63, 61, 81, 82, 57, 46, 
##     34, 17, 12, 10, 9, 2, 0, -35, -29, -24, -34, -23, -23, -41, 
##     -41, -44, -56, -44, -58, -56, -57, -58, -60, -59, -64, -67, 
##     -61, -60, -58, -46, 58, 67, 61, 67, 73, 81, 89, 92, 94, 83, 
##     88, 74, 72, 41, 14, -30, -55, -73, -116, -101, -148, -163, 
##     -168, -188, -233, -240, -294, -309, -327, -311, -290, -211, 
##     -195, -49, -35, -22, -4, 9, 15, 18, 51, 54, 53, 68, 62, 65, 
##     55, 54, 44, 39, 25, 14, 16, 10, -5, -7, -14, -18, -18, -18, 
##     -15, -4, 6, 13, 29, 32, 53, 48, 97, 91, 113, 89, 79, 45, 
##     10, -16, -27, -45, -45, -72, -72, -77, -75, -84, -89, -104, 
##     -134, -146, -143, -158, -177, -178, -186, -201, -213, -237, 
##     -246, -254, -250, -257, -259, -257, -246, -220, -215, -194, 
##     -58, -42, -25, -25, -18, -10, 4, 24, 19, 18, 47, 32, 44, 
##     66, 65, 58, 61, 43, 40, 40, 32, 36, 34, 29, 36, 36, 36, 41, 
##     41, 60, 62, 73, 77, 73, 64, 59, 44, 11, -5, -47, -50, -85, 
##     -102, -114, -132, -128, -147, -155, -227, -273, -288, -304, 
##     -329, -323, -290, -272, -241, -201, -184, -145, -136, -124, 
##     -106, -96, -61, -45, -25, -18, 4, 6, 15, 38, 38, 47, 70, 
##     66, 49, 54, 41, 33, 34, 31, 2, -10, -20, -59, -73, -90, -106, 
##     -152, -145, -174, -183, -230, -266, -269, -270, -267, -259, 
##     -265, -266, -260, -238, -226, -219, -212, -198, -186, -182, 
##     -155, -147, -127, -100, -87, -79, -36, -42, -11, 8, -10, 
##     9, 55, 63, 82, 68, 65, 57, 55, 32, 33, 34, 31, 30, 36, 25, 
##     61, 73, 90, 91, 93, 112, 104, 78, 24, -44, -86, -104, -126, 
##     -131, -153, -158, -162, -196, -236, -274, -306, -325, -316, 
##     -285, -259, -242, -235, -222, -218, -184, -172, -123, -43, 
##     -37, -30, 31, 44, 53, 78, 91, 71, 64, 59, 48, 43, 42, 40, 
##     39, 37, 33, 44, 39, 39, 40, 40, 42, 35, 45, 39, 69, 72, 84, 
##     76, 73, 52, 30, 19, 1, -56, -95, -154, -167, -172, -174, 
##     -221, -224, -307, -316, -311, -277, -265, -261, -254, -239, 
##     -233, -231, -228, -225, -220, -200, -151, -140, -129, -119, 
##     -80, -69, -68, -46, -28, -6, 32, 51, 56, 50, 68, 95, 67, 
##     62, 86, 81, 82, 69, 67, 64, 63, 65, 72, 77, 72, 78, 85, 77, 
##     102, 104, 58, 11, -8, -24, -82, -91, -106, -115, -124, -132, 
##     -151, -161, -200, -247, -275, -334, -322, -316, -292, -270, 
##     -255, -222, -200, -153, -139, -133, -127, -76, -59, -41, 
##     14, 13, 2, 20, 61, 58, 53, 69, 73, 75, 64, 77, 65, 48, 33, 
##     25, 7, 8, 33, 35, 71, -56, -57, -68, -74, -89, -99, -93, 
##     -99, -103, -104, -102, -92, -89, -43, -31, -9, 9, 32, 17, 
##     -7, -20, -51, -72, -117, -144, -151, -221, -257, -543, -542, 
##     -533, -473, -450, -431, -403, -349, -337, -273, -204, -131, 
##     -94, -61, -28, -32, -1, -5, -19, -8, -29, -33, -34, -47, 
##     -55, -77, -86, -103, -106, -105, -99, -100, -91, -28, 8, 
##     13, 19, 20, -3, -20, -64, -81, -99, -139, -149, -229, -367, 
##     -420, -466, -556, -462, -432, -398, -385, -373, -286, -219, 
##     -164, -74, -73, -153, -154, -158, -157, -153, -147, -145, 
##     -145, -148, -147, -143, -145, -144, -147, -144, -146, -147, 
##     -148, -147, -148, -145, -139, -122, -111, -67, -25, -5, 2, 
##     5, 21, 55, 56, 57, 73, 24, 5, 13, -169, -193, -204, -231, 
##     -287, -327, -402, -430, -476, -463, -422, -388, -354, -339, 
##     -314, -260, -219, -196, -134, -126, -85, -74, -20, 37, 33, 
##     24, 22, 18, 1, -6, -12, -11, -30, -89, -114, -194, -215, 
##     -331, -429, -486, -434, -405, -379, -283, -279, -270, -253, 
##     -220, -202, -191, -87, -48, -55, -40, -35, -3, 1, 8, 13, 
##     21, 52, 45, 41, 46, 18, -27, -53, -55, -127, -147, -216, 
##     -247, -273, -282, -376, -409, -472, -524, -522, -417, -368, 
##     -341, -330, -301, -207, -174, -101, -62, -13, -1, -12, 1, 
##     10, 52, 63, 54, 54, 43, 42, 35, 17, 11, 1, -57, -116, -145, 
##     -241, -261, -373, -411, -515, -520, -461, -440, -392, -327, 
##     -314, -294, -275, -214, -194, -138, -117, -103, -43, -28, 
##     -6, 7, 23, 37, 37, 51, 47, 50, 49, 47, 43, 31, 20, 11, -23, 
##     -34, -58, -85, -112, -148, -203, -383, -451, -421, 18, 12, 
##     -14, -33, -94, -117, -118, -254, -275, -299, -355, -417, 
##     -502, -501, -484, -427, -375, -359, -312, -302, -207, -192, 
##     -159, -126, -36, -36, -12, -16, -9, 24, 30, 19, 42, 57, 63, 
##     64, 82, 104, 98, 92, 84, 51, 34, 22, 9, -43, -88, -139, -155, 
##     -214, -255, -304, -326, -344, -374, -414, -488, -517, -494, 
##     -384, -335, -324, -268, -136, -84, -38, 5, -3, 7, 53, 79, 
##     83, 81, 83, 78, 67, 62, 58, 58, 49, 45, 36, 27, 9, -11, -58, 
##     -116, -136, -158, -183, -279, -325, -352, -381, -481, -454, 
##     -435, -418, -386, -349, -328, -306, -289, -225, -177, -108, 
##     -80, -77, 5, -20, -8, 16, 17, 18, 13, 64, 79, 80, 81, 73, 
##     80, 74, 56, 43, -37, -132, -153, -264, -294, -310, -331, 
##     -465, 89, 85, 80, 71, 61, 18, -58, -75, -147, -192, -319, 
##     -378, -404, -464, -499, -518, -527, -512, -472, -431, -399, 
##     -386, -38, -35, -38, -22, -27, -32, -29, -26, -23, -26, -28, 
##     -23, -28, -29, -30, -32, -29, -25, -25, -31, -32, -32, -29, 
##     -25, -26, -25, -22, -27, -30, -33, -35, -43, -28, -29, -28, 
##     -29, -30, -33, -31, -29, -29, -27, -27, -29, -28, -30, -30, 
##     -31, -30, -32, -33, -34, -32, -33, -32, -30, -30, -28, -31, 
##     -33, -37, -37, -38, -33, -20, -21, -14, -18, -15, -19, -16, 
##     -7, -1, 6, 11, 8, 10, 10, -1, -32, -45, -70, -77, -83, -87, 
##     -64, -54, -49, -32, -27, -6, -2, 3, 5, 4, 0, -2, -5, 0, -7, 
##     -9, -11, -20, -23, -27, -31, -29, -29, -30, -26, -26, -26, 
##     -25, -22, -24, -23, -24, -26, -26, -26, -25, -21, -23, -26, 
##     -24, -28, -36, -30, -25, -21, -24, -23, -20, -23, -20, -14, 
##     -17, -23, -29, -30, -32, -26, -23, -20, -27, -24, -24, -20, 
##     -26, -28, -30, -22, -25, -28, -22, -22, -25, -23, -22, -20, 
##     -23, -26, -26, -26, -25, -23, -23, -25, -26, -25, -28, -26, 
##     -27, -28, -25, -32, -29, -26, -25, -27, -27, -26, -32, -51, 
##     -54, -59, -63, -54, -56, -46, -50, -22, -43, -63, -76, -114, 
##     -114, -111, -118, -119, -119, -129, -133, -135, -145, -153, 
##     -167, -173, -171, -169, -175, -165, -166, -165, -156, -146, 
##     -140, -115, -105, -18, 12, 26, 28, 58, 52, 59, 66, 55, 71, 
##     70, 26, 25, 20, -28, -72, -93, -152, -263, -287, -347, -552, 
##     -502, -467, -426, -336, -329, -336, -273, -230, -191, -142, 
##     -84, -31, -31, -89, -51, -30, -37, -26, -1, -29, -28, -10, 
##     -10, 6, 24, 35, 28, 44, 32, 45, 32, -38, -68, -156, -187, 
##     -231, -238, -335, -398, -555, -439, -386, -315, -287, -246, 
##     -157, -60, -64, -46, -73, -26, -107, 7, -55, -47, -11, -18, 
##     -11, 1, 14, 21, 33, 38, 55, 1, -57, -5, 15, 23, 34, 42, 24, 
##     36, -10, -90, -114, -152, -192, -280, -332, -430, -466, -369, 
##     -279, -185, -237, -69, -163, -36, -160, 15, -36, 14, -32, 
##     -23, -18, -25, -25, -23, -4, -7, -11, 4, -23, -42, -28, -16, 
##     -2, 0, 0, -32, -72, -72, -103, -137, -188, -286, -401, 17, 
##     20, 26, -85, -88, -118, -122, -143, -145, -205, -246, -331, 
##     -367, -392, -425, -463, -431, -399, -332, -296, -309, -232, 
##     -234, -111, -81, -166, -135, -35, -113, -65, -40, -21, -25, 
##     12, 15, -1, 18, -23, -84, -97, -168, -289, -351, -420, 56, 
##     91, 111, 119, 127, 128, 134, 137, 126, 123, 89, 86, 60, -12, 
##     -51, -111, -117, -173, -205, -203, -219, -227, -215, -200, 
##     -198, -203, -171, -172, -173, -168, -159, -159, -148, -113, 
##     -97, -86, -89, -53, -53, -53, -43, 12, 18, 9, 10, 42, 59, 
##     61, 68, 69, 58, 49, 57, 60, 71, 70, 74, 73, 73, 64, 56, 59, 
##     60, 63, 56, 59, 66, 99, 127, 119, 118, 123, 106, 90, 69, 
##     52, 22, 4, -105, -115, -135, -144, -188, -197, -206, -208, 
##     -188, -191, -191, -181, -160, -158, -111, -97, -38, -32, 
##     -27, 4, 32, 19, 40, 31, 42, 69, 61, 66, 55, 49, 64, 62, 66, 
##     61, 67, 78, 79, 75, 71, 73, 77, 87, 94, 98, 92, 92, 113, 
##     94, 92, 63, 28, -110, -125, -161, -173, -191, -211, -238, 
##     -240, -234, -244, -246, -233, -226, -218, -219, -217, -197, 
##     -189, -149, -76, 1, -7, 24, 40, 93, 83, 84, 74, 74, 70, 60, 
##     65, 72, 72, 68, 71, 88, 94, 94, 91, 95, 96, 101, 104, 100, 
##     99, 92, 94, 88, 58, 32, -33, -58, -70, -82, -102, -143, -207, 
##     -254, -286, -312, -322, -321, -238, -231, -235, -236, -235, 
##     -234, -235, -228, -224, -224, -223, -223, -229, -227, -218, 
##     -215, -208, -185, -181, -171, -155, -112, -59, -4, 50, 51, 
##     78, 69, 56, 45, 65, 50, 33, 37, 35, 10, 7, 1, -9, -13, -20, 
##     -27, -29, -29, -28, -33, -34, -34, -74, -70, -70, -69, -72, 
##     -72, -66, -70, -60, -58, -59, -62, -59, -62, -54, -56, -53, 
##     -48, -41, -39, -48, -33, -45, -44, -43, -36, -37, -40, -37, 
##     -38, -38, -41, -48, -55, -55, -55, -52, -54, -55, -54, -50, 
##     -46, -31, -20, 7, 34, 99, 122, 141, 148, 141, 109, 81, 58, 
##     21, -7, -25, -55, -218, -252, -351, -411, -426, -435, -449, 
##     -461, -451, -438, -440, -430, -427, -437, -434, -429, -419, 
##     -409, -396, -387, -365, -360, -276, -258, -230, -196, -144, 
##     -125, -93, 94, 97, 105, 104, 107, 136, 98, 77, 73, 67, 29, 
##     -2, -110, -130, -182, -209, -226, -307, -321, -374, -419, 
##     -467, -474, -470, -460, -428, -396, -379, -332, -282, -259, 
##     -239, -205, -196, -130, -107, -42, -30, -18, 2, 22, 48, 66, 
##     58, 56, 58, 77, 67, 39, 28, 10, 6, -2, 1, -22, -20, 24, 36, 
##     44, 61, 89, 115, 120, 125, 134, 117, 116, 109, 89, 46, 43, 
##     -43, -68, -104, -138, -150, -196, -234, -264, -298, -328, 
##     -349, -417, -414, -425, -414, -404, -393, -381, -378, -374, 
##     -356, -341, -333, -324, 55, 33, 49, 30, 33, 28, 3, -2, 15, 
##     21, 23, 52, 88, 89, 110, 46, 20, -91, -122, -159, -175, -199, 
##     -298, -289, -242, -213, -207, -210, -127, -120, -120, -78, 
##     -46, -57, -63, 1, 31, 50, 41, 41, -12, -12, 20, 33, 46, 68, 
##     63, 73, 58, 51, 51, 13, 3, 0, -11, -14, 8, -26, -20, -25, 
##     -25, -18, -9, 3, 41, 63, 84, -35, -34, -36, -35, -40, -38, 
##     -37, -36, -38, -44, -52, -62, -64, -68, -66, -65, -65, -62, 
##     -63, -74, 175, 196, 201, 190, 182, 178, 164, 162, 139, 99, 
##     58, -79, -126, -161, -191, -326, -349, -304, -245, -182, 
##     -175, -60, 106, 99, 131, 158, 133, 141, 133, 128, 130, 122, 
##     102, 118, -17, 134, 195, 166, 191, 162, 180, 116, 112, 110, 
##     111, 108, 101, 99, 109, 113, 120, 138, 145, 168, 195, 199, 
##     198, 185, 194, 177, 175, 181, 148, 102, 27, -14, -180, -360, 
##     -264, -222, -194, -171, -170, -116, -87, 47, 18, 46, 144, 
##     150, 197, 160, 161, 141, 123, 121, 97, 108, 99, 82, 77, 85, 
##     83, 78, 91, 92, 112, 138, 148, 162, 194, 177, 192, 199, 184, 
##     185, 179, 151, 150, 133, 47, 32, 11, -18, -27, -103, -128, 
##     -250, -369, -367, -310, -263, -185, -158, -104, -111, 15, 
##     31, 181, 128, 120, 154, 145, 137, 127, -2, 1, -35, 18, 103, 
##     134, 115, 179, 157, 147, 185, 137, 111, 93, 93, 104, 102, 
##     97, 84, 66, 71, 76, -222, -208, -163, -135, -71, -55, -48, 
##     -32, 38, 124, 131, 210, 167, 155, 198, 178, 126, 133, 119, 
##     114, 117, 129, 125, 115, 100, 91, 90, 93, 79, 178, 189, 190, 
##     199, 207, 180, 159, 83, 54, 17, -72, -99, -218, -321, -407, 
##     -387, -270, 16, 16, 22, 13, 13, 14, 12, 13, 14, 11, 16, 7, 
##     -1, 4, 1, 8, -1, 6, 3, 17, 26, 34, 43, 36, 21, 37, 45, 48, 
##     42, 37, 42, 42, 37, 40, 43, 34, 36, 40, 29, 35, -441, -407, 
##     -357, -327, -299, -241, -211, -182, -44, -116, 22, 43, -152, 
##     -60, -109, -31, -37, -30, -49, -40, -34, -33, -33, -43, -24, 
##     -9, -4, -5, -10, 9, -9, -62, -77, -76, -57, -110, -145, -174, 
##     -443, -439, -416, -387, -289, -194, -212, -193, -167, -64, 
##     -72, -81, 72, 62, 59, 69, 57, 39, 31, 27, 42, 48, 54, 44, 
##     25, 24, 32, 49, 63, 68, 61, 63, 57, -379, -362, -302, -295, 
##     -277, -244, -135, -87, -123, -96, -47, -61, -102, -93, -13, 
##     -86, -78, -25, -22, -29, -26, -10, -19, -3, 13, 1, 10, 8, 
##     14, -19, -11, -46, -56, -211, -362, -411, -418, -433, -435, 
##     -410, -317, -302, -158, -237, -208, -60, -141, 0, -50, -16, 
##     -24, 3, -17, -63, -135, -215, -246, -360, -466, -483, -447, 
##     -422, -400, -378, -307, -279, -268, -134, -121, -148, -47, 
##     -25, -33, -67, 58, -36, -34, -23, -24, -34, -32, -30, -35, 
##     -37, -34, -33, -29, -37, -31, -34, -28, -28, -30, -30, -32, 
##     -25, -32, -36, -30, -29, -28, -26, -29, -35, -26, -25, -453, 
##     -361, -291, -268, -245, -169, -112, -94, -45, -47, -11, 22, 
##     27, 48, 31, 49, 66, 67, 76, 87, 87, 81, -375, -354, -298, 
##     -240, -76, -69, -42, -7, -13, -24, 21, 14, 20, 35, 54, 73, 
##     72, 73, 73, 69, 67, 65, 57, 50, -38, -22, -10, -14, -9, -8, 
##     -31, -22, -22, -40, -46, -48, -61, -62, -70, -102, -106, 
##     -101, -100, -112, -113, -121, -130, -142, -153, -153, -199, 
##     -179, -178, -113, -65, 186, 131, 167, 158, 154, 145, 148, 
##     139, 115, 86, 74, 69, 60, 49, 35, 18, 16, 33, 6, 27, 15, 
##     7, 14, 7, 9, 75, 82, 96, 106, 135, 142, 188, 194, 220, 221, 
##     220, 242, 202, 63, 44, -10, -27, -40, -71, -202, -330, -368, 
##     -360, 130, 134, 129, 124, 138, 113, 145, 151, 210, 199, 211, 
##     210, 189, 147, 106, 84, -136, -194, -320, -236, -187, -126, 
##     120, 135, 148, 157, 163, 194, 186, 196, 203, 203, 198, 174, 
##     160, 142, 100, 29, 1, -46, -127, -181, -289, -400, -397, 
##     -366, -319, -188, 33, 45, 127, 102, 108, 182, 136, 163, 138, 
##     121, 122, 122, 137, 114, 108, 113, 106, 98, 93, 79, 78, 75, 
##     77, 108, -270, -315, -409, -473, -514, -526, -503, -483, 
##     -469, -445, -407, -377, -289, -193, -125, -118, -79, -34, 
##     -27, -6, -13, 20, 17, 34, 43, 33, 34, 32, 40, 51, 54, 55, 
##     46, 48, 35, 38, 38, 36, 46, 55, 59, 66, 59, 37, 26, -44, 
##     -89, -104, -132, -145, -210, -193, -298, -333, -371, -527, 
##     -493, -485, -472, -475, -465, -462, -440, -425, -422, -395, 
##     -383, -339, -304, -258, -181, -145, -203, -173, -154, -127, 
##     -128, -107, -59, -80, -14, -33, 22, 27, 10, 9, 10, -2, -9, 
##     -24, -30, -34, -49, -60, -64, -63, -77, -81, -82, -86, -85, 
##     -2, 5, 87, 96, 144, 122, 115, 90, 20, 11, -13, -14, -250, 
##     -266, -283, -302, -336, -347, -359, -421, -432, -415, -406, 
##     -391, -359, -365), magnet_arm_x = c(-368, -369, -368, -372, 
##     -374, -369, -373, -372, -369, -376, -366, -363, -372, -371, 
##     -374, -367, -371, -373, -369, -373, -375, -372, -373, -374, 
##     -370, -366, -371, -364, -367, -366, -371, -368, -375, -369, 
##     -369, -368, -363, -373, -369, -376, -375, -370, -372, -373, 
##     -367, -366, -370, -366, -371, -372, -367, -369, -371, -364, 
##     -365, -370, -369, -368, -372, -368, -375, -374, -369, -365, 
##     -368, -373, -363, -363, -364, -371, -371, -364, -370, -372, 
##     -368, -369, -367, -367, -368, -376, -366, -372, -367, -373, 
##     -368, -370, -370, -370, -368, -365, -369, -367, -372, -365, 
##     -368, -371, -367, -369, -369, -368, -367, -358, -367, -365, 
##     -370, -363, -362, -374, -368, -365, -361, -365, -358, -361, 
##     -365, -365, -364, -369, -372, -361, -362, -362, -363, -367, 
##     -368, -361, -366, -374, -367, -371, -368, -367, -369, -365, 
##     -372, -367, -361, -367, -369, -360, -361, -364, -365, -365, 
##     -367, -367, -367, -369, -367, -373, -375, -373, -366, -364, 
##     -362, -363, -372, -369, -372, -363, -367, -370, -367, -360, 
##     -369, -432, -427, -432, -428, -426, -430, -436, -428, -429, 
##     -426, -427, -427, -437, -430, -433, -433, -435, -436, -438, 
##     -441, -429, -434, -430, -434, -432, -425, -430, -425, -429, 
##     -432, -429, -424, -435, -424, -431, -422, -426, -429, -428, 
##     -427, -418, -426, -425, -418, -416, -423, -419, -416, -417, 
##     -420, -417, -419, -420, -411, -410, -415, -413, -412, -415, 
##     -416, -403, -404, -407, -397, -392, -392, -394, -397, -397, 
##     -392, -396, -401, -403, -401, -405, -397, -396, -406, -404, 
##     -405, -403, -408, -408, -410, -414, -411, -413, -415, -408, 
##     -412, -423, -412, -414, -416, -418, -416, -415, -409, -411, 
##     -412, -408, -416, -402, -405, -385, -380, -359, -360, -332, 
##     -311, -292, -288, -262, -258, -232, -208, -152, -124, -72, 
##     -16, 39, 81, 105, 195, 207, 255, 280, 326, 369, 521, 535, 
##     564, 666, 683, 713, 722, 740, 743, 738, 718, 728, 734, 732, 
##     745, 743, 743, 728, 694, 651, 640, 601, 572, 537, 464, 376, 
##     350, 291, 14, -101, -221, -310, -368, -387, -393, -412, -422, 
##     -409, -402, -398, -391, -375, -365, -327, -255, -240, -84, 
##     -62, 194, 238, 266, 339, 388, 453, 499, 558, 590, 607, 724, 
##     741, 745, 742, 738, 734, 737, 730, 735, 748, 746, 743, 744, 
##     736, 729, 715, 709, 695, 678, 664, 636, 614, 456, 352, 275, 
##     199, 0, 470, 489, 581, 618, 682, 718, 729, 735, 747, 743, 
##     744, 741, 718, 720, 731, 743, 744, 739, 752, 722, 698, 645, 
##     616, 601, 574, 555, 518, 475, 391, 152, 112, 66, -55, -111, 
##     -192, -234, -276, -296, -307, -325, -353, -360, -370, -382, 
##     -393, -397, -415, -405, -398, -397, -390, -380, -344, -337, 
##     -312, -262, -234, -177, -142, -115, -70, -18, 8, 267, 298, 
##     347, 398, 517, 533, 576, 627, 636, 692, 703, 728, 737, 744, 
##     747, 738, 736, 720, 728, 716, 702, 716, 724, 740, 720, 590, 
##     553, 539, 491, 401, 334, 314, 208, 117, 101, 32, -25, -38, 
##     -94, -217, -237, -287, -309, -311, -330, -347, -366, -372, 
##     -377, -374, -376, -361, -342, -338, -256, -215, -152, -71, 
##     -23, 67, 143, 192, 227, 286, 272, 250, 169, 151, 107, 84, 
##     46, 4, -75, -154, -168, -252, -280, -387, -385, -380, -375, 
##     -345, -310, -283, -264, -224, -187, -163, 7, 96, 145, 232, 
##     264, 456, 496, 518, 638, 701, 743, 744, 735, 734, 736, 743, 
##     742, 743, 741, 739, 729, 722, 686, 666, 647, 623, 589, 575, 
##     476, 374, 318, 74, 49, -20, -116, -251, -271, -295, -325, 
##     -327, -339, -341, -355, -335, -328, -313, -310, -277, -241, 
##     -208, -148, -64, 314, 373, 503, 560, 582, 655, 702, 732, 
##     743, 744, 744, 750, 747, 743, 730, 714, -367, -333, -327, 
##     -279, -109, -84, 116, 151, 209, 271, 302, 435, 501, 537, 
##     623, 643, 674, 695, 725, 736, 731, 742, 740, 735, 743, 742, 
##     741, 751, 743, -354, -357, -358, -360, -352, -321, -273, 
##     -264, -229, -214, -63, -23, 100, 233, 311, 446, 508, 578, 
##     598, 702, 718, 729, 743, 731, 731, 735, 721, 689, 677, 566, 
##     340, 464, 491, 534, 552, 630, 711, 715, 725, 740, 736, 723, 
##     718, 730, 729, 730, 738, 740, 737, 731, 710, 562, 501, 391, 
##     229, 205, 173, 117, 83, 59, 8, -67, -123, -134, -170, -217, 
##     200, 206, 209, 209, 212, 213, 210, 200, 184, 158, 125, 108, 
##     86, 68, 39, 35, -12, -45, -57, -71, -88, -103, -107, -138, 
##     -149, -162, -165, -168, -176, -185, -192, -188, -191, -190, 
##     -188, -178, -183, -176, -169, -166, -161, -155, -155, -131, 
##     -137, -130, -130, -110, -103, -99, -94, -94, -86, -84, -78, 
##     -74, -83, -80, -72, -72, -70, -80, -79, -81, -86, -96, -115, 
##     -116, -124, -137, -142, -155, -154, -158, -168, -172, -181, 
##     -181, -181, -187, -206, -208, -235, -250, -285, -314, -314, 
##     -319, -318, -323, -320, -311, -314, -312, -312, -309, -309, 
##     -303, -308, -306, -307, -299, -306, -302, -303, -307, -306, 
##     -312, -317, -316, -316, -318, -316, -323, -319, -325, -323, 
##     -324, -321, -326, -330, -324, -326, -330, -331, -331, -331, 
##     -330, -330, -332, -328, -326, -333, -327, -331, -329, -327, 
##     -330, -336, -332, -333, -337, -337, -330, -330, -328, -333, 
##     -331, -330, -328, -334, -327, -335, -322, -329, -330, -335, 
##     -332, -328, -331, -329, -332, -336, -337, -339, -331, -337, 
##     -333, -333, -337, -343, -335, -335, -335, -340, -331, -335, 
##     -338, -337, -337, -338, -332, -332, -336, -334, -336, -329, 
##     -335, -344, -333, -332, -336, -334, -335, -325, -322, -322, 
##     -321, -319, -319, -317, -317, -319, -314, -305, -314, -315, 
##     -307, -374, -371, -364, -361, -359, -350, -205, -107, -65, 
##     -42, 2, 84, 169, 221, 245, 320, 367, 412, 485, 565, 597, 
##     676, 686, 726, -309, -306, -294, -297, -294, -296, -292, 
##     -294, -292, -298, -294, -293, -294, -294, -294, -287, -293, 
##     -295, -285, -285, -280, -284, -285, -288, -292, -287, -285, 
##     -288, -283, -278, -282, -260, -246, -216, -218, -214, -198, 
##     -180, -179, -170, -164, -162, -171, -168, 99, 99, 113, 115, 
##     124, 131, 130, 140, 146, 143, 150, 151, 153, 170, 167, 176, 
##     178, 187, -164, -165, -165, -161, -161, -156, -159, -156, 
##     -166, -160, -165, -149, -157, -162, -160, -164, -165, -168, 
##     -165, -158, -167, -164, -166, -170, -172, -171, -166, -168, 
##     -166, -171, -168, -170, -172, -168, -168, -175, -167, -166, 
##     -168, -162, -170, -167, -167, -174, -180, -175, -176, -173, 
##     -181, -170, -173, -173, -175, -173, -176, -171, -176, -182, 
##     -176, -181, -182, -173, -173, -181, -182, -172, -168, -166, 
##     -173, -174, -177, -178, -183, -195, -192, -194, -184, -184, 
##     -190, -193, -194, -186, -178, -183, -191, -192, -191, -185, 
##     -198, -195, -198, -190, -190, -190, -182, -181, -186, -190, 
##     -191, -186, -194, -187, -192, -186, -188, -188, -197, -184, 
##     -188, -186, -189, -193, -198, -195, -196, -188, -187, -192, 
##     -185, -185, -185, -179, -183, -176, -171, -174, -175, -176, 
##     -179, -173, -175, -174, -172, -172, -169, -167, -163, -160, 
##     -150, -151, -154, -149, -147, -141, -138, -134, -136, -133, 
##     -123, -113, -91, -89, -84, -85, -74, -322, -318, -318, -325, 
##     -327, -323, -326, -328, -328, -326, -328, -329, -331, -329, 
##     -329, -329, -331, -334, -328, -333, -325, -329, -328, -333, 
##     -336, -334, -331, -330, -331, -332, -341, -339, -346, -340, 
##     -342, -336, -337, -340, -336, -329, -323, -311, -323, -315, 
##     -315, -316, -306, -310, -311, -307, -311, -310, -309, -311, 
##     -299, -311, -309, -306, -312, -328, 590, 616, 646, 683, 705, 
##     734, 743, 756, 760, 759, 759, 755, 756, 748, 730, 727, 715, 
##     716, 714, 710, 707, 705, 709, 713, 714, 717, 726, 747, 749, 
##     756, 751, 724, 698, 687, 634, 577, 531, 483, 458, 412, 374, 
##     333, 322, 242, 201, 188, 164, 35, 23, -6, -39, -80, -119, 
##     -151, -162, -197, -207, -227, -243, -250, -244, -245, -253, 
##     -250, -255, -251, -256, -263, -259, -265, -264, -241, -221, 
##     -197, 726, 723, 723, 730, 734, 738, 740, 753, 766, 758, 761, 
##     760, 735, 719, 693, 679, 651, 617, 583, 550, 533, 514, 489, 
##     463, 419, 267, 217, 84, 60, 15, -8, -16, -51, -68, -72, -119, 
##     -194, -196, -194, -201, -218, -229, -234, -240, -239, -251, 
##     -255, -253, -262, -258, -233, -89, -32, 162, 216, 237, 289, 
##     321, 374, 487, 602, 639, 666, 708, 723, 752, 756, 765, 751, 
##     762, 748, 748, 744, 743, 742, 742, 747, 744, 736, 731, 747, 
##     740, 728, 729, 733, 732, 735, 741, 743, 743, 757, 758, 758, 
##     762, 762, 751, 731, 706, 655, 625, 612, 576, 543, 523, 428, 
##     394, 332, 219, 106, 87, 61, 42, 15, -36, -62, -101, -183, 
##     -216, -220, -236, -239, -248, -257, -266, -264, -265, -269, 
##     -271, -277, -279, -287, -287, -274, -276, -269, -256, -140, 
##     -102, -54, -38, 19, 169, 325, 354, 422, 570, 668, 701, 734, 
##     745, 760, 761, 765, 757, 756, 754, 751, 750, 746, 747, 741, 
##     741, 741, 741, 747, 747, 753, 758, 754, 753, 760, 760, 763, 
##     755, 743, 716, 705, 678, 664, 642, 596, 582, 534, 388, 343, 
##     312, 255, 192, 182, 112, 72, 21, -41, -97, -137, -159, -181, 
##     -209, -223, -232, -265, -293, -290, -286, -288, -293, -283, 
##     -275, -242, -192, 10, 59, 84, 168, 224, 393, 440, 494, 516, 
##     565, 684, 675, 476, 444, 361, 284, 138, 108, 37, -15, -37, 
##     -97, -131, -197, -209, -222, -228, -246, -251, -258, -276, 
##     -277, -283, -284, -280, -289, -286, -296, -286, -270, -237, 
##     -142, -95, -63, -2, 87, 125, 184, 290, 344, 433, 552, 579, 
##     626, 725, 741, 745, 756, 756, 762, 761, 763, 759, 751, 754, 
##     746, 739, 746, 734, 737, 733, 737, 739, 739, 732, 738, 730, 
##     737, 739, 741, 753, 741, 719, 704, 690, 662, 639, 618, 537, 
##     519, 464, 427, 391, 370, 241, 216, 187, 169, 136, 122, 762, 
##     757, 754, 749, 751, 745, 743, 744, 738, 738, 743, 731, 738, 
##     739, 739, 740, 737, 739, 739, 739, 745, 737, 739, 746, 747, 
##     747, 757, 756, 756, 760, 761, 753, 742, 741, -302, -306, 
##     -312, -318, -340, -337, -334, -340, -336, -337, -344, -341, 
##     -345, -336, -337, -334, -338, -341, -336, -335, -335, -331, 
##     -340, -330, -333, -332, -338, -331, -336, -337, -338, -334, 
##     -337, -336, -339, -331, -330, -332, -328, -332, -330, -331, 
##     -335, -330, -329, -323, -331, -330, -332, -329, -330, -339, 
##     -335, -339, -336, -338, -342, -338, -341, -344, -339, -343, 
##     -339, -337, -339, -344, -343, -332, -343, -341, -339, -341, 
##     -337, -337, -339, -342, -341, -335, -332, -335, -331, -336, 
##     -330, -331, -336, -336, -334, -329, -334, -331, -329, -332, 
##     -330, -334, -338, -323, -331, -329, -331, -339, -332, -331, 
##     -333, -337, -331, -335, -337, -332, -327, -333, -333, -329, 
##     -332, -335, -330, -333, -336, -338, -330, -325, -337, -336, 
##     -325, -331, -327, -330, -329, -326, -332, -330, -326, -334, 
##     -330, -332, -335, -336, -328, -337, -330, -330, -334, -336, 
##     -330, -334, -335, -341, -343, -352, -355, -359, -364, -362, 
##     -357, -359, -357, -353, -358, -353, -352, -355, -354, -357, 
##     -359, -361, -364, -363, -363, -369, -361, -372, -367, -370, 
##     -379, -366, -370, -374, -371, -364, -344, -309, -181, -84, 
##     -7, 22, 89, 250, 285, 358, 378, 441, 522, 547, 589, 649, 
##     674, 690, 708, 725, 728, 733, 717, 697, 658, 625, 694, -248, 
##     -300, -316, -334, -333, -331, -354, -360, -370, -373, -365, 
##     -367, -366, -368, -360, -339, -322, -323, -248, -189, -148, 
##     -99, 2, 27, 95, 163, 360, 451, 480, 575, 642, 687, 710, 728, 
##     727, 721, 595, 576, 546, 509, 498, 458, 461, 494, 518, 551, 
##     574, 628, 659, 695, 710, 717, 736, 744, 736, 724, 711, -364, 
##     -363, -374, -367, -368, -366, -362, -354, -346, -339, -329, 
##     -308, -247, -212, -99, 60, 154, 245, 343, 402, 618, 719, 
##     737, 727, 715, 696, 643, 602, 571, 569, 535, 543, 567, 592, 
##     592, 696, 715, 728, 731, 735, 731, 712, 693, 649, 539, 519, 
##     464, 483, 482, 489, 532, 561, 629, 641, 659, 683, 734, 736, 
##     737, 715, 694, 671, 654, 601, 498, 426, 395, 343, 21, -38, 
##     -58, -116, -207, -244, -303, -325, -329, -364, -373, -379, 
##     -388, -380, -388, -383, -378, -371, -368, -351, -312, -298, 
##     -272, -212, -96, 27, 160, 184, 407, 433, 494, 518, 573, 592, 
##     637, 685, 712, 709, 724, 741, 732, 693, 589, 506, 516, 550, 
##     580, 641, 704, 728, 744, 730, 717, 677, 647, 609, 585, 522, 
##     485, 255, 208, 153, 76, -88, -227, -265, -283, -328, -333, 
##     -355, -358, -363, -374, -384, -388, -400, -390, -396, -392, 
##     -390, -396, -387, -377, -375, -377, -332, -222, -195, -142, 
##     -104, 24, 247, 433, 527, 549, 698, 729, 735, 730, 727, 705, 
##     687, 635, 575, 550, 527, 507, 483, 485, 497, 502, 518, 539, 
##     552, -275, -297, -328, -346, -348, -346, -365, -375, -387, 
##     -382, -387, -394, -396, -394, -399, -394, -389, -382, -368, 
##     -364, -330, -323, -294, -236, -199, -112, -50, 49, 154, 262, 
##     466, 596, 658, 686, 697, 719, 738, 734, 733, 680, 467, 483, 
##     498, 523, 575, 698, 733, 741, 716, 695, 647, 602, 583, 463, 
##     402, 222, 201, 137, 74, 50, -11, -98, -121, -222, -244, -286, 
##     -350, -352, -364, -396, -402, -410, -413, -406, -409, -400, 
##     -379, -372, -356, -325, -303, -233, -205, -150, -78, 25, 
##     182, 363, 459, 656, 711, 729, 725, 701, 679, 666, 636, 543, 
##     525, 502, 476, 535, 585, 610, 629, 717, 730, 736, 740, 732, 
##     659, 601, 586, 490, 456, 170, 152, -25, -79, -326, -347, 
##     -408, -406, -409, -385, -126, -68, 12, 83, 171, 209, 269, 
##     334, 419, 503, 629, 661, 699, 724, 732, 731, 732, 731, 721, 
##     708, 661, 621, 603, 520, 470, 476, 488, 521, 546, 606, 661, 
##     -419, -419, -430, -424, -426, -434, -430, -435, -434, -426, 
##     -417, -414, -414, -423, -419, -420, -420, -422, -428, -423, 
##     -436, -434, -424, -430, -428, -428, -426, -435, -427, -423, 
##     -424, -421, -424, -422, -424, -421, -421, -422, -424, -422, 
##     -421, -412, -407, -416, -427, -426, -429, -426, -431, -437, 
##     -429, -434, -434, -431, -430, -436, -428, -426, -425, -430, 
##     -437, -435, -437, -438, -436, -431, -437, -427, -437, -425, 
##     -423, -433, -425, -421, -421, -420, -421, -420, -418, -422, 
##     -420, -423, -424, -431, -419, -428, -422, -425, -418, -426, 
##     -423, -422, -416, -425, -424, -417, -417, -422, -424, -424, 
##     -424, -421, -417, -422, -425, -420, -416, -423, -427, -426, 
##     -424, -429, -425, -428, -423, -423, -429, -424, -423, -424, 
##     -424, -416, -423, -422, -421, -423, -413, -424, -423, -424, 
##     -422, -423, -417, -420, -425, -425, -422, -424, -424, -426, 
##     -419, -424, -422, -420, -423, -421, -417, -417, -422, -424, 
##     -423, -423, -425, -425, -422, -425, -418, -424, -417, -422, 
##     -422, -426, -428, -432, -427, -432, -428, -427, -428, -427, 
##     -430, -426, -422, -427, -423, -424, -420, -422, -422, -422, 
##     -422, -426, -418, -422, -428, -422, -427, -423, -424, -421, 
##     -430, -425, -432, -419, -431, -425, -426, -429, -429, -418, 
##     -418, -417, -423, -420, -422, -429, -431, -422, -426, -432, 
##     -426, -422, -436, -424, -427, -425, -425, -419, -426, -420, 
##     -426, -432, -430, -430, -428, -427, -422, -422, -423, -427, 
##     -423, -427, -424, -420, -421, -425, -424, -431, -420, -425, 
##     -426, -418, -428, -422, -423, -422, -426, -422, -425, -419, 
##     -422, -416, -425, -417, -421, -417, -424, -423, -417, -416, 
##     -424, -420, -422, -419, -421, -424, -420, -416, -415, -418, 
##     -422, -418, -418, -417, -420, -422, -417, -417, -422, -423, 
##     -410, -416, -418, -421, -419, -423, -418, -418, -416, -420, 
##     -418, -429, -433, -426, -419, -423, -422, -434, -427, -423, 
##     -417, -412, -415, -414, -412, -414, -426, -426, -427, -426, 
##     -430, -425, -419, -409, -418, -425, -416, -417, -419, -407, 
##     -425, -424, -421, -424, -419, -419, -421, -411, -413, -405, 
##     -407, -403, -407, -402, -402, -408, -410, -411, -414, -416, 
##     -410, -407, -409, -408, -412, -407, -410, -404, -412, -416, 
##     -415, -412, -413, -410, -366, -362, -363, -363, -364, -365, 
##     -360, -362, -363, -360, -361, -366, -365, -366, -366, -375, 
##     -367, -361, -363, -368, -366, -367, -366, -364, -367, -365, 
##     -363, -363, -365, -367, -362, -362, -366, -363, -362, -368, 
##     -371, -360, -364, -361, -368, -367, -368, -367, -366, -368, 
##     -367, -374, -368, -374, -367, -365, -361, -365, -373, -368, 
##     -362, -370, -366, -367, -363, -368, -373, -366, -362, -367, 
##     -368, -369, -366, -363, -371, -367, -368, -368, -366, -367, 
##     -369, -365, -367, -366, -368, -367, -373, -367, -364, -372, 
##     -363, -365, -370, -369, -369, -369, -365, -361, -370, -367, 
##     -373, -367, -365, -368, -368, -366, -368, -368, -369, -369, 
##     -369, -368, -366, -368, -363, -368, -373, -367, -371, -372, 
##     -369, -375, -374, -368, -368, -367, -368, -368, -362, -364, 
##     -360, -362, -366, -358, -371, -367, -366, -372, -371, -372, 
##     -372, -375, -377, -372, -373, -368, -370, -373, -370, -377, 
##     -375, -376, -364, -375, -372, -377, -370, -366, -367, -377, 
##     -375, -371, -369, -374, -375, -374, -373, -372, -375, -373, 
##     -376, -372, -370, -373, -374, -368, -375, -368, -369, -368, 
##     -366, -375, -369, -369, -378, -373, -372, -374, -368, -370, 
##     -364, -373, -373, -367, -367, -367, -368, -365, -370, -372, 
##     -371, -368, -368, -372, -374, -368, -371, -367, -366, -371, 
##     -368, -369, -370, -367, -361, -369, -368, -363, -364, -368, 
##     -363, -360, -367, -363, -368, -363, -369, -366, -365, -368, 
##     -366, -365, -368, -365, -370, -375, -372, -369, -373, -373, 
##     -375, -369, -374, -369, -369, -364, -365, -366, -374, -369, 
##     -373, -371, -373, -368, -367, -368, -371, -365, -367, -362, 
##     -368, -360, -360, -369, -362, -368, -363, -369, -362, -363, 
##     -361, -362, -365, -365, -360, -359, -358, -360, -360, -362, 
##     -366, -358, -362, -360, -361, -361, -358, -364, -361, -354, 
##     -360, -358, -354, -353, -355, -360, -357, -359, -357, -353, 
##     -354, -356, -356, -353, -356, -358, -353, -350, -349, -359, 
##     -357, -357, -358, -358, -348, -351, -342, -339, -341, -335, 
##     -340, -336, -329, -294, -274, -233, -217, -162, -154, -103, 
##     35, 49, 79, 99, 168, 227, 324, 384, 443, 527, 609, 671, 678, 
##     710, 726, 740, 751, 762, 762, 759, 747, 744, 742, 721, 709, 
##     685, 679, 651, 642, 619, 607, 609, 611, 615, 640, 653, 662, 
##     695, 700, 727, 743, 751, 758, 754, 741, 729, 716, 708, 703, 
##     596, 560, 545, 336, 271, 232, 78, 53, -1, -37, -66, -127, 
##     -152, -168, -184, -218, -248, -277, -345, -356, -359, -359, 
##     -367, -362, -341, -303, -279, -227, -198, -132, -80, -63, 
##     60, 129, 267, 366, 388, 517, 565, 659, 695, 717, 741, 755, 
##     766, 755, 762, 756, 743, 742, 722, 699, 687, 675, 666, 658, 
##     641, 641, 648, 676, 715, 712, 746, 755, 760, 766, 744, 745, 
##     690, 653, 560, 396, 188, 151, 764, 771, 761, 739, 694, 666, 
##     666, 663, 683, 683, 693, 716, 735, 762, 764, 749, 724, 721, 
##     662, 643, 571, 507, 433, 380, 355, 272, 212, 131, 47, -7, 
##     -239, -263, -310, -334, -348, -369, -358, -362, -361, -330, 
##     -291, -278, -244, -209, -185, -142, -5, 80, 100, 165, 572, 
##     614, 670, 705, 724, 740, 749, 760, 763, 766, 759, 717, 688, 
##     678, 665, 663, 663, 685, 697, 697, 715, 741, 756, 760, 765, 
##     769, 767, 769, 764, 758, 748, 705, 692, 674, 528, 469, 427, 
##     363, 335, 296, 253, 234, 195, 172, -9, -58, -70, -110, -129, 
##     -165, -223, -346, -361, -363, -357, -300, -236, -114, -7, 
##     57, 106, 174, 203, 273, 447, 471, 520, 631, 684, 739, 757, 
##     771, 754, 746, 714, 696, 678, 673, 669, 675, 701, 724, 752, 
##     761, 772, 727, 661, 629, 583, 517, 498, 438, 390, 309, 276, 
##     223, 144, 69, 20, -51, -88, -183, -199, -236, -267, -287, 
##     -379, -401, -429, -433, -428, -425, -415, -400, -357, -263, 
##     -186, -66, -33, 68, 233, 478, 520, 554, 686, 711, 719, 762, 
##     761, 769, 761, 754, 736, 698, 694, 683, 710, 729, 738, -397, 
##     -405, -406, -412, -411, -410, -423, -422, -423, -421, -420, 
##     -417, -418, -418, -420, -420, -416, -418, -421, -418, -426, 
##     -417, -423, -421, -415, -409, -405, -407, -408, -407, -405, 
##     -408, -415, -414, -410, -415, -415, -418, -412, -415, -410, 
##     -409, -413, -403, -410, -405, -407, -405, -403, -411, -413, 
##     -408, -402, -408, -409, -411, -408, -410, -407, -407, -407, 
##     -411, -405, -416, -407, -402, -403, -403, -411, -405, -410, 
##     -412, -412, -403, -405, -411, -404, -412, -415, -406, -410, 
##     -410, -414, -408, -412, -408, -418, -409, -415, -410, -416, 
##     -410, -410, -409, -409, -413, -408, -405, -411, -410, -409, 
##     -406, -413, -411, -412, -416, -415, -409, -411, -410, -413, 
##     -404, -415, -404, -412, -408, -406, -408, -410, -410, -411, 
##     -410, -414, -414, -421, -422, -422, -410, -407, -417, -408, 
##     -408, -407, -410, -408, -409, -412, -407, -410, -412, -409, 
##     -404, -405, -410, -401, -403, -408, -414, -410, -408, -409, 
##     -407, -408, -407, -407, -405, -417, -411, -409, -413, -412, 
##     -415, -407, -414, -413, -411, -411, -415, -411, -406, -413, 
##     -409, -410, -412, -405, -409, -408, -410, -401, -402, -405, 
##     -406, -403, -409, -406, -411, -408, -411, -407, -410, -413, 
##     -413, -409, -416, -409, -408, -414, -410, -412, -416, -409, 
##     -410, -408, -407, -408, -403, -404, -405, -407, -407, -407, 
##     -408, -409, -408, -410, -415, -410, -411, -411, -416, -408, 
##     -417, -409, -405, -412, -410, -411, -404, -410, -405, -407, 
##     -405, -412, -407, -420, -419, -410, -420, -419, -416, -412, 
##     -419, -416, -409, -410, -411, -408, -409, -411, -407, -412, 
##     -415, -416, -426, -419, -422, -424, -419, -415, -419, -417, 
##     -416, -411, -409, -405, -406, -399, -398, -405, -407, -405, 
##     -406, -405, -403, -402, -403, -403, -406, -406, -408, -411, 
##     -411, -415, -411, -410, -409, -407, -417, -410, -413, -402, 
##     -401, -413, -407, -413, -408, -410, -416, -411, -411, -414, 
##     -416, -420, -425, -423, -416, -421, -422, -419, -418, -416, 
##     -422, -412, -415, -420, -410, -410, -417, -420, -419, -416, 
##     -420, -419, -415, -418, -418, -413, -413, -419, -411, -414, 
##     -414, -416, -413, -413, -409, -414, -415, -416, -418, -415, 
##     -418, -411, -419, -414, -416, -411, -411, -411, -409, -412, 
##     -415, -417, -416, -419, -424, -421, -418, -425, -422, -422, 
##     -422, -418, -422, -420, -417, -422, -426, -425, -428, -425, 
##     -426, -425, -429, -424, -420, -421, -435, -428, -425, -425, 
##     -425, -429, -430, -425, -423, -420, -419, -417, -417, -424, 
##     -424, -418, -422, -421, -420, -425, -414, -418, -420, -421, 
##     -421, -417, -424, -420, -412, -418, -405, -335, -275, -218, 
##     -137, -31, 301, 332, 422, 549, 586, 661, 699, 719, 745, 755, 
##     742, 749, 742, 753, 748, 743, 741, 730, 736, 735, 753, 751, 
##     754, 747, 756, 742, 716, 699, 646, 617, 464, 292, 196, -150, 
##     -164, -214, -264, -288, -330, -353, -432, -425, -425, -398, 
##     -390, -367, -284, -231, -210, -119, -51, 55, 165, 202, 370, 
##     400, 455, 557, 615, 691, 704, 723, 735, 739, 751, 751, 750, 
##     745, 736, 732, 730, 746, 749, 753, 750, 746, 741, 736, 716, 
##     669, 641, 614, 554, 507, 478, 395, 287, 251, 204, 128, 48, 
##     -46, -127, -230, -263, -312, -326, -378, -380, -381, -342, 
##     -304, -131, -36, 45, 252, 362, 507, 526, 579, 593, 639, 711, 
##     746, 754, 749, 755, 742, 724, 733, 738, 748, 746, 752, 755, 
##     748, 744, 707, 642, 606, 586, 458, 437, 340, 78, 46, -37, 
##     -99, -262, -341, -365, -394, -384, -382, -361, -354, -330, 
##     -317, -248, -189, -58, 20, 62, 139, 369, 475, 571, 627, 674, 
##     687, 720, 742, 748, 748, 747, 745, 730, 722, 719, 732, 733, 
##     736, 756, 752, 756, 748, 738, 728, 704, 658, 525, 356, 329, 
##     239, 169, 40, -57, -169, -245, -269, -311, -363, -368, -397, 
##     -404, -408, -412, -405, -381, -314, -298, -237, -179, -148, 
##     -85, -53, 26, 60, 132, 172, 249, 360, 463, 494, 614, 693, 
##     731, 746, 742, 751, 739, 740, 750, 754, 757, 740, 682, 665, 
##     470, 408, 356, 258, 73, 40, -212, -259, -365, -377, -392, 
##     -397, -408, -380, -369, -340, -226, -195, -148, -119, -25, 
##     38, 253, 322, 357, 447, 500, 629, 638, 665, 681, 729, 746, 
##     753, 746, 751, 751, 751, 748, 752, 751, 745, 728, 714, 686, 
##     668, 623, 583, 360, 311, 257, 229, 167, 128, 57, -157, -248, 
##     -302, -350, -372, -407, -417, -416, -409, -376, -339, -331, 
##     -275, -228, -208, 76, 153, 184, 255, 388, 456, 477, 535, 
##     667, 689, 740, 751, 751, 752, 754, 747, 757, 754, 750, 749, 
##     745, 735, 712, 706, 688, 633, 522, 472, 440, 370, 295, 218, 
##     160, -34, -162, -218, -325, -378, -395, -387, -377, -367, 
##     -352, -283, -245, -163, -11, 23, 193, 370, 602, 651, 723, 
##     728, 740, 756, 751, 757, 748, 752, 146, 192, 218, -381, -381, 
##     -386, -372, -374, -375, -379, -368, -370, -369, -367, -361, 
##     -376, -363, -371, -368, -372, -372, -372, -366, -375, -374, 
##     -375, -377, -376, -374, -371, -351, -356, -354, -330, -320, 
##     -328, -332, -344, -338, -338, -345, -337, -331, -322, -303, 
##     -303, -305, -297, -290, -296, -290, -296, -308, -301, -102, 
##     -75, -39, 174, 312, 339, 567, 603, 650, 676, 701, 730, 756, 
##     765, 770, 51, 41, 9, -5, -28, -130, -167, -180, -189, -204, 
##     -230, -237, -244, -249, -255, -263, -261, -261, -250, -248, 
##     -200, -184, -137, 734, 751, 759, 756, 757, 756, 754, 748, 
##     750, 759, 752, 753, 755, 758, 757, 764, 758, 761, 759, 726, 
##     57, 140, 211, 305, 403, 456, 533, 594, 690, 710, 725, 747, 
##     758, 756, 759, 743, 740, 734, 733, 732, 729, -343, -342, 
##     -341, -330, -331, -307, -302, -296, -297, -287, -271, -272, 
##     -255, -251, -115, -77, 56, 213, 242, 303, 480, -288, -286, 
##     -297, -316, -330, -333, -340, -344, -343, -338, -327, -320, 
##     -317, -318, -320, -325, -313, -314, -313, -254, -258, -290, 
##     -292, -291, -294, -295, -292, -293, -288, -281, -282, -278, 
##     -279, -277, -281, -280, -271, -270, -271, -277, -281, -278, 
##     -278, -280, -287, -286, -77, -84, -105, -121, -133, -140, 
##     -141, -140, -150, -154, -196, -222, -412, -412, -416, -415, 
##     -418, -409, -409, -416, -415, -410, -412, -412, -414, -421, 
##     -412, -410, -414, -414, -418, -415, -415, -414, -418, -421, 
##     -424, -427, -440, -440, -442, -436, -434, -437, -437, -425, 
##     -428, -422, -420, -416, -420, -431, -422, -420, -422, -417, 
##     -417, -414, -422, -417, -422, -425, -424, -420, -424, -413, 
##     -419, -415, -421, -416, -418, -417, -422, -424, -423, -421, 
##     -421, -424, -424, -422, -422, -423, -416, -423, -423, -423, 
##     -425, -422, -428, -424, -422, -424, -420, -420, -423, -422, 
##     -424, -425, -418, -416, -423, -421, -423, -424, -420, -418, 
##     -423, -419, -420, -423, -421, -419, -416, -424, -422, -421, 
##     -412, -417, -422, -421, -416, -421, -417, -419, -419, -415, 
##     -421, -420, -422, -419, -423, -411, -418, -416, -409, -410, 
##     -411, -415, -417, -416, -417, -419, -419, -418, -423, -411, 
##     -415, -417, -416, -415, -418, -409, -412, -423, -420, -417, 
##     -419, -417, -417, -411, -410, -416, -421, -413, -425, -417, 
##     -421, -417, -416, -418, -415, -415, -418, -409, -418, -415, 
##     -415, -406, -409, -414, -408, -408, -411, -408, -405, -406, 
##     -410, -411, -412, -419, -412, -418, -410, -421, -427, -418, 
##     -424, -422, -422, -425, -426, -424, -425, -433, -426, -429, 
##     -423, -427, -423, -436, -427, -418, -424, -421, -414, -419, 
##     -418, -414, -419, -415, -415, -419, -420, -413, -423, -423, 
##     -417, -424, -423, -425, -432, -425, -426, -431, -426, -432, 
##     -431, -437, -436, -422, -425, -418, -416, -424, -421, -425, 
##     -423, -425, -420, -424, -422, -425, -423, -418, -422, -420, 
##     -413, -421, -425, -416, -417, -422, -423, -417, -418, -412, 
##     -423, -418, -421, -419, -417, -419, -419, -413, -411, -418, 
##     -415, -420, -419, -424, -57, -19, -11, 9, 26, 62, 62, 67, 
##     74, 69, 73, 65, 57, 60, 63, 70, 59, 49, 36, 31, 21, 17, 4, 
##     13, 32, 33, 25, 30, 25, 19, 15, 17, 14, 18, 24, 17, 11, 22, 
##     20, 18, 24, 33, 33, 32, 41, 38, 46, 43, 42, 40, 39, 43, 33, 
##     30, 24, 25, 31, 27, 25, 31, 26, 24, 22, 24, 14, 7, 4, 0, 
##     1, 0, -4, -7, -7, 4, 1, -1, -8, -11, -6, -12, -9, -13, -6, 
##     -3, -2, -6, -2, -4, 0, -2, -4, -7, -8, -28, -35, -42, -137, 
##     -143, -169, -215, -246, -266, -274, -372, -364, -382, -393, 
##     -393, -387, -392, -386, -390, -390, -390, -394, -400, -393, 
##     -399, -403, -397, -394, -385, -388, -391, -392, -383, -387, 
##     -387, -381, -380, -385, -382, -387, -388, -380, -382, -386, 
##     -388, -390, -387, -381, -383, -378, -375, 736, 728, 732, 
##     733, 723, 722, 729, 727, 722, 731, 738, 732, 727, 733, 735, 
##     729, 721, 703, 569, 512, 467, 446, 350, 321, 255, 144, 40, 
##     -16, -155, -198, -220, -312, -339, -382, -407, -414, -401, 
##     -393, -379, -372, -354, -312, -261, -156, -38, 719, 702, 
##     687, 673, 585, 572, 544, 404, 356, 294, 202, 154, 93, 48, 
##     36, -9, -71, -89, -228, -298, -312, -372, -363, -334, -314, 
##     -299, -261, -247, -173, -149, -87, -43, 117, 136, 172, 260, 
##     281, 317, 379, 459, 500, 514, 572, 671, 698, 706, 727, 730, 
##     731, 729, 719, 727, 721, 726, 734, 733, 726, 726, 714, 708, 
##     662, 632, 603, 593, 542, 515, 460, 400, 362, 292, 118, -3, 
##     -181, -203, -229, -293, -363, -383, -391, -305, -197, -158, 
##     -141, -95, -37, 4, 80, 118, 308, 409, 520, 553, 587, 613, 
##     642, 651, 679, 728, 729, 732, 725, 726, 720, 726, 721, 733, 
##     728, 727, 724, 724, 716, 712, 709, 699, 640, 587, 561, 533, 
##     498, 491, 466, 442, 414, 365, 318, 286, 42, -83, -108, -176, 
##     -206, -240, -276, -284, -327, -346, -332, -324, -309, -224, 
##     -208, -144, -120, -85, -65, 93, 297, 422, 554, 595, 619, 
##     626, 681, 701, 710, 706, 716, 723, 726, 726, 723, 724, 726, 
##     721, 721, 715, 722, 724, 728, 733, 735, 733, 728, 730, 720, 
##     719, 717, 710, 693, 614, 599, 558, 510, 439, 391, 370, 343, 
##     264, 154, 138, 110, 64, 41, 25, -43, -72, -106, -145, -187, 
##     -241, -277, -297, -339, -349, -379, -379, -381, -380, -366, 
##     -358, -341, -320, -280, -268, -214, -200, -154, -124, -69, 
##     31, 54, 95, 200, 217, 252, 361, 398, 407, 456, 513, 558, 
##     614, 616, 633, 639, 687, 698, 669, 652, 628, 596, 414, 362, 
##     347, 294, 237, 221, 193, 181, 141, 132, 65, 49, -49, -111, 
##     -168, -196, -354, -365, -424, -422, -441, -443, -425, -414, 
##     -380, -344, -312, -286, -267, -213, -178, -121, -70, 0, 67, 
##     114, 179, 212, 233, 276, 294, 338, 388, 426, 583, 596, 625, 
##     721, 660, 638, 630, 599, 543, 516, 495, 442, 410, 371, 356, 
##     307, 289, 196, 147, 123, 108, 50, 21, -3, -46, -64, -93, 
##     -107, -156, -174, -193, -198, -194, -195, -165, -122, -100, 
##     -72, -24, -8, 35, 57, 226, 353, 433, 458, 506, 535, 612, 
##     622, 656, 743, 755, 754, 765, 764, 759, 759, 755, 760, 749, 
##     749, 737, 736, 739, 736, 742, 737, 743, 739, 740, 747, 746, 
##     755, 754, 759, 766, 759, 762, 756, 750, 725, 723, 706, 683, 
##     674, 613, 569, 550, 527, 508, 474, 423, 311, 283, 228, 132, 
##     104, 46, 22, -46, -100, -113, -133, -140, -174, -214, 721, 
##     726, 727, 723, 725, 723, 724, 717, 721, 721, 724, 723, 726, 
##     733, 728, 733, 725, 720, 710, 693, 687, 159, 227, 297, 348, 
##     471, 540, 601, 627, 640, 669, 686, 700, 709, 731, 727, 731, 
##     730, 722, 718, 724, 729, 723, 719, 732, 731, 734, 735, 739, 
##     728, 727, 14, 19, 22, 26, 24, 26, 32, 37, 32, 28, 29, 22, 
##     28, 30, 32, 30, 33, 32, 28, 23, 28, 34, 30, -413, -416, -413, 
##     -411, -407, -411, -399, -405, -404, -403, -393, -391, -389, 
##     -344, -287, -260, -252, -200, -132, -110, -77, -404, -409, 
##     -411, -411, -417, -412, -412, -413, -407, -413, -413, -410, 
##     -407, -420, -409, -409, -413, -444, -428, -420, -424, -421, 
##     -415, -427, -425, -429, -427, -431, -427, -425, -432, -426, 
##     -426, -426, -425, -410, -413, -413, -415, -406, -408, -402, 
##     -411, -409, -414, -408, -410, -409, -416, -411, -412, -412, 
##     -410, -413, -411, -415, -411, -411, -410, -422, -425, -421, 
##     -426, -424, -422, -420, -420, -424, -423, -425, -426, -425, 
##     -425, -424, -429, -426, -422, -424, -426, -425, -413, -418, 
##     -419, -419, -419, -417, -421, 573, 608, 638, 646, 705, 716, 
##     728, 662, 608, 477, 309, 61, -83, -170, -358, -325, -311, 
##     -278, -245, 21, 128, 304, 334, 494, 626, 662, 682, 714, 729, 
##     738, 724, 709, 680, 658, 588, 572, 544, 508, 499, 356, 292, 
##     154, 121, 39, -14, -67, -91, -201, -281, -295, -312, -345, 
##     -344, -357, -367, -363, -371, -391, -391, -389, -378, 667, 
##     523, 486, 459, 417, 295, 272, 195, 82, 35, 10, -27, -51, 
##     -113, -186, -208, -240, -266, -279, -300, -334, -335, -335, 
##     -343, -348, -346, -353, 703, 714, 732, 738, 723, 684, 686, 
##     661, 622, 590, 582, 525, 484, 424, 383, 359, 311, 288, 243, 
##     114, 58, -117, -153, -206, -220, -344, -342, -346, -346, 
##     -347, -343, -341, -345, -345, -341, -344, -343, -342, -343, 
##     -340, -342, -343, -343, -349, -346, -347, -343, -341, -337, 
##     -341, -339, -25, -40, -104, -135, -168, -199, -259, -271, 
##     -303, -304, -320, -338, -368, -377, -386, -381, -381, -386, 
##     -389, -387, -385, -376, -377, -387, 279, 268, 270, 265, 261, 
##     178, 147, 136, 123, 92, 86, 73, 69, 66, 69, 58, 54, 53, 43, 
##     48, 34, 22, 10, -2, 330, 349, 360, 387, 392, 400, 408, 424, 
##     437, 450, 454, 458, 463, 459, 462, 455, 446, 410, 396, 365, 
##     329, 319, 303, 303, 411, 325, 218, 152, 128, 29, -33, -57, 
##     -189, -218, -272, -274, -292, -319, -336, -332, -327, -325, 
##     -315, -168, -137, -100, -39, 14, 96, 197, 735, 662, 565, 
##     472, 386, 365, 254, 220, 126, 85, 33, -1, -42, -143, -267, 
##     -288, 691, 481, 433, 315, 264, 81, 17, -37, -120, -146, -218, 
##     -291, -339, -352, -361, -372, -376, -388, -386, -395, 311, 
##     364, 512, 613, 657, 695, 730, 742, 731, 730, 741, 751, 735, 
##     729, 667, 589, 566, 428, 417, -105, -197, -244, -277, -352, 
##     -378, -389, -407, -410, -434, -445, -455, -454, -457, -449, 
##     -443, -439, -383, -350, -319, -306, -264, -250, -157, -129, 
##     0, 53, 80, 428, -432, -427, 6, -66, -222, -264, -285, -297, 
##     -326, -327, -319, -277, -190, -175, -123, -73, -52, 6, 96, 
##     153, 258, 281, 409, 435, 521, 577, 594, 648, 709, 722, 739, 
##     743, 752, -232, -279, -302, -324, -354, -359, -391, -395, 
##     -402, -400, -393, -392, -397, -389, -396, -396, -395, -394, 
##     -394, -386, -389, -395, -395, -394, -392, -391, -392, -388, 
##     -392, -394, -397, -396, -398, -398, -394, -374, -353, -338, 
##     -329, -253, -245, -149, -126, -48, 93, 181, 307, 338, 437, 
##     545, 633, 669, 710, 745, 735, 723, 709, 662, 605, 546, 517, 
##     508, 523, 618, 634, 655, 673, 717, 700, 637, 590, 555, 506, 
##     254, 181, 154, 47, -24, -88, -129, -183, -311, -335, 722, 
##     728, 739, 746, 709, 658, 596, 524, 517, 524, 541, 551, 583, 
##     637, 674, 693, 695, 701, 705, 658, 638, 586, 546, 499, 478, 
##     428, 379, 186, 47, -12, -41, -122, -232, -303, -330, -365, 
##     -399, -422, -425, -433, -437, -431, -438, -420, -388, -381, 
##     -356, -271, -51, 47, 115, 151, 338, 400, 442, 562, 674, 732, 
##     748, 688, 654, 635, 429, 453, 544, 680, 708, 721, 732, 722, 
##     695, 686, 617, 559, 543, 438, 315, 167, 71, -4, -31, -83, 
##     -136, -157, -231, -258, -401, -397, -421, -387, -368, -331, 
##     -270, -134, -105, -25, 518, 549, 648, 664, 709, 742, 730, 
##     710, 689, 639, 615, 573, 506, 465, 432, 407, 414, 433, 458, 
##     468, 506, 639, 651, 687, 702, 637, 585, 499, 389, 272, 59, 
##     -44, -172, -427, -445, -452, -452, -470, -465, -432, -414, 
##     -391, -314, -244, -188, -107, -38, 178, 241, 278, 517, 547, 
##     642, 665, 692, 728, 737, 734, 727, 688, 672, 630, 514, 473, 
##     454, 423, 500, 551, 564, 607, 616, 682, 685, -331, -277, 
##     -83, 67, 196, 272, 392, 437, 570, 689, 704, 749, 708, 623, 
##     603, 523, 496, 425, 429, 449, 466, 502, 574, 667, 691, 681, 
##     656, 643, 272, 152, -132, -243, -313, -328, -362, -389, -423, 
##     -454, -465, -482, -478, -477, -476, -472, -457, -452, -423, 
##     -397, -345, -308, -47, -17, 72, 204, 329, 518, 570, 595, 
##     648, 666, 702, 722, 725, 666, 593, 552, 429, 411, 389, 415, 
##     499, 589, 622, 680, 614, 539, 466, 307, 281, 103, -108, -127, 
##     -184, -205, -265, -292, -465, -470, -501, -501, -511, -515, 
##     -512, -502, -468, -425, -360, 65, 287, 569, 690, 654, 632, 
##     -414, -422, -445, -498, -493, -498, -487, -483, -463, -414, 
##     -402, -367, -358, -256, -204, -127, -29, 276, 361, 403, 580, 
##     625, 646, 686, 708, 685, 640, 572, 508, 481, 419, 341, 296, 
##     324, 342, 423, 452, 561, 603, 644, 672, 683, 656, 644, 567, 
##     543, 488, 394, 327, -155, -244, -390, -425, -477, -489, -497, 
##     -496, -484, -479, -441, -410, -348, -306, -286, -222, 54, 
##     131, 172, 265, 306, 463, 503, 629, 697, 746, 760, 739, 736, 
##     691, 679, 628, 559, 522, 492, 476, 498, 748, 685, 713, 714, 
##     696, 687, 663, 636, 587, 573, 529, 291, 246, 220, 176, 107, 
##     -37, 495, 414, 356, 279, 253, 205, 61, -12, -78, -218, -248, 
##     -272, -297, -307, -342, -341, -370, -362, -388, -387, -386, 
##     -390, -390, -379, -377, -351, -348, -334, -340, -341, -342, 
##     -342, -346, -352, -347, -361, -354, -356, -364, -355, -361, 
##     -358, -356, -356, -366, -360, -352, -354, -354, -344, -360, 
##     -347, -349, -358, -352, -353, -351, -347, -348, -353, -359, 
##     -348, -355, -360, -353, -355, -353, -354, -360, -358, -359, 
##     -360, -357, -359, -359, -350, -357, -342, -341, -342, -348, 
##     -342, -341, -344, -336, -331, -329, -331, -331, -332, -338, 
##     -339, -335, -329, -331, -329, -315, -307, -293, -296, -217, 
##     -182, -149, -57, -8, 16, 84, 419, 627, 662, 701, 724, 734, 
##     705, 693, 658, 638, 595, 547, 525, 465, 444, 345, 295, 194, 
##     35, -9, -163, -312, -333, -368, -376, -393, -404, -423, -432, 
##     -439, -442, -452, -451, -460, -446, -438, -387, -377, -300, 
##     -76, -33, 184, 226, 415, 454, 568, 624, 698, 727, 734, 741, 
##     688, 657, 591, 544, 484, 398, 306, 213, 146, 43, -125, -176, 
##     -199, -198, -174, 25, 387, 459, 488, 538, 614, 679, 699, 
##     714, 730, 742, 717, 716, 660, 640, 600, 403, 323, 277, 227, 
##     -216, -184, -102, 238, 281, 368, 482, 578, 636, 722, 728, 
##     738, 710, 685, 642, 603, 559, 540, 373, 237, 207, 85, -135, 
##     -156, -117, -87, 22, 49, 179, 209, 314, 536, 688, 704, 719, 
##     726, 736, 740, 732, 721, 695, 651, 604, 487, 409, 322, 227, 
##     156, 120, -12, -54, -218, -299, -312, -385, -392, -406, -414, 
##     -415, -424, -423, -428, -425, -421, -411, -403, -362, -308, 
##     -128, -49, 115, 250, 416, 530, 622, 738, 725, 719, 696, 628, 
##     568, 442, 308, 148, 116, -38, -183, -240, -252, -236, -177, 
##     -130, -40, -19, 56, 331, 434, 505, 563, 676, 744, 745, 744, 
##     729, 714, 698, 624, 606, 405, 302, 268, 38, -189, -249, -328, 
##     -393, -397, -423, -436, -438, -417, -359, -322, -303, -245, 
##     -148, 205, 299, 516, 614, 647, 693, 704, 725, 737, 735, 730, 
##     719, 622, 599, 505, 422, 182, 15, -45, -84, -142, -217, -260, 
##     -292, -179, -147, -86, 26, 102, 214, 253, 406, 436, 572, 
##     646, 719, 737, 691, 261, 396, 468, 516, 569, 650, 692, 703, 
##     734, 742, 719, 683, 648, 617, 591, 489, 404, 311, 207, 144, 
##     -35, -229, -319, -356, -388, -387, -377, -346, -322, 109, 
##     176, 211, 323, 459, 553, 608, 713, 720, 735, 743, 730, 708, 
##     694, 434, 203, 161, 56, -21, -133, -334, -371, -404, -419, 
##     -449, -460, -454, -433, -419, -415, -387, -373, -343, -294, 
##     -147, 154, 286, 585, 643, 664, 696, 738, 737, 717, 665, 607, 
##     555, 752, 768, 765, 742, 715, 683, 660, 584, 537, 466, 427, 
##     407, 302, 211, 143, 34, -203, -225, -253, -285, -306, -336, 
##     -367, -372, -374, -377, -380, -377, -374, -359, -300, -234, 
##     -91, -26, 76, 108, 215, 276, 471, 524, 571, 649, 722, 747, 
##     755, 769, 773, 751, 721, 683, 668, 744, 765, 765, 753, 715, 
##     669, 621, 577, 561, 525, 448, 412, 381, 339, 317, 202, 132, 
##     13, -52, -92, -118, -240, -320, -338, -347, -377, -394, -400, 
##     -402, -386, -363, -348, -278, -147, -116, -20, 269, 385, 
##     513, 537, 588, 747, 756, 768, 764, 758, 739, 730, 724, 712, 
##     710, 715, 730, 742, 756, 761, 766, 762, 743, 722, 682, 600, 
##     452, 432, 510, 537, 582, 639, 671, 683, 737, 755, 769, 765, 
##     770, 757, 731, 711, 709, 683, 676, 696, 712, 729, 733, 773, 
##     762, 764, 752, 687, 646, 535, 243, 219, 167, 90, 46, -87, 
##     -152, -194, -247, -271, -291, -347, -391, -384, -384, -379, 
##     -337, -313, 732, 746, 754, 770, 774, 780, 772, 768, 754, 
##     748, 727, 702, 641, 529, 450, 394, 341, 255, 233, 130, 101, 
##     55, 27, -95, -188, -218, -232, -286, -300, -321, -332, -360, 
##     -358, -360, -360, -346, -349, -334, -326, -331, -321, -335, 
##     -326, -329, -326, -329, -336, -337, -330, -336, -336, -333, 
##     -332, -340, -337, -341, -343, -339, -344, -338, -341, -340, 
##     -342, -335, -337, -343, -337, -341, -336, -340, -337, -331, 
##     775, 774, 766, 753, 735, 719, 626, 582, 561, 442, 413, 352, 
##     178, 145, 85, -72, -154, -240, -313, -328, -365, -371, -367, 
##     -355, -339, -314, 675, 767, 762, 740, 709, 694, 584, 529, 
##     446, 366, 300, 280, 190, 135, 112, 20, -52, -75, -136, -217, 
##     -255, -265, -268, -276, -255, -169, -93, 5, 79, 336, 421, 
##     547, 614, 649, 736, 697, 629, 572, 421, 334, 112, 47, 16, 
##     -48, -55, -58, -26, 10, 57, 121, -343, -307, -237, -166, 
##     -28, 6, 114, 271, 664, 701, 727, 753, 760, 743, 699, 310, 
##     237, 204, 190, 165, 224, 260, 314, 349, 424, 578, 688, 756, 
##     769, 768, 757, 757, 732, 673, 538, 472, 451, 399, 336, 134, 
##     -44, -86, -102, -160, -266, -173, -107, 34, 71, 456, 570, 
##     632, 716, 735, 760, 732, 714, 689, 660, 630, 446, 348, 282, 
##     263, 207, 169, 131, 86, 49, -21, -133, -196, -231, -261, 
##     -291, -293, -320, -325, -327, -326, -285, -262, -247, -214, 
##     -155, -70, 409, 465, 492, 662, 714, 729, 753, 763, 774, 775, 
##     762, 636, 617, 549, 483, 242, 196, 167, 97, 50, -19, -81, 
##     -132, -292, -317, -350, -359, -367, -349, -338, -291, -255, 
##     -130, -88, -17, 181, 218, 310, 342, 424, 498, 600, 625, 711, 
##     730, 759, 747, 711, 660, 616, 580, 562, 521, 478, 456, 373, 
##     274, 272, 273, 292, 305, 428, 479, 679, 712, 749, 769, 763, 
##     739, 650, 584, 510, 457, 438, 325, 221, 50, -11, -106, 755, 
##     760, 746, 751, 744, 736, 717, 611, 601, 534, 486, 472, 423, 
##     385, 328, 295, 212, 43, -13, -46, -92, -117, -168, -194, 
##     -264, -309, -350, -382, -388, -391, -388, -396, -394, -382, 
##     -327, -304, -277, -200, -184, 227, -35, -128, -241, -342, 
##     -382, -409, -427, -387, -315, -300, -261, -22, 56, 94, 186, 
##     357, 472, 565, 616, 658, 732, 739, 742, 746, 735, 732, 732, 
##     735, 748, 748, 751, 751, 750, 753, 753, 731, 662, 606, 489, 
##     461, 417, 389, 330, 227, 50, 3, -99, -233, -309, -344, -349, 
##     -393, -387, -378, -373, -356, -351, -337, -320, -315, -296, 
##     -308, -310, -313, -312, -310, -314, -311, -313, -314, -313, 
##     -318, -312, -315, -315, -313, -313, -318, -316, -316, -314, 
##     -313, -320, -313, -317, -314, -325, -320, -322, -318, -311, 
##     -252, -210, -180, 132, 413, 460, 534, 575, 640, 661, 707, 
##     715, 666, 595, 499, 440, 430, 422, 421, 453, 500, 537, 561, 
##     606, 665, 713, 726, 743, 748, 745, 704, 642, 576, 468, 427, 
##     282, -80, -119, -236, -325, -447, -459, -457, -457, -402, 
##     -247, -90, 10, 174, 230, 335, 383, 682, 712, 727, 692, 559, 
##     516, 458, 429, 422, 427, 451, 471, 581, 642, 664, 696, 710, 
##     730, 747, 691, 612, 522, 477, 398, 140, -174, -338, -383, 
##     -393, -404, -393, -343, -325, 700, 657, 633, 404, 361, 235, 
##     98, -20, -234, -314, -408, -420, -434, -315, -160, 18, 257, 
##     309, 538, 682, 705, 752, 746, 739, 698, 623, 511, 456, 412, 
##     403, 460, 567, 591, 646, 682, 720, 738, 737, 610, 221, 87, 
##     -38, -149, -179, -250, -277, -394, -383, -352, -212, -67, 
##     -28, 69, 117, 280, 379, 437, 520, 562, 726, 740, 725, 708, 
##     675, 592, 555, 487, 458, 457, 470, 542, 562, 627, 682, 738, 
##     752, 678, 661, 607, 575, 473, 351, 209, 127, 77, -18, -53, 
##     -222, -248, -348, -357, -395, -401, -404, -400, -385, -230, 
##     -208, -138, -105, 290, 341, 586, 619, 714, 750, 732, 719, 
##     671, 608, 542, 449, 425, -250, -101, -2, 38, 310, 367, 470, 
##     513, 714, 741, 750, 658, 624, 603, 496, 451, 430, 426, 444, 
##     472, 496, 555, 664, 686, 716, 741, 750, 688, 749, 751, 757, 
##     758, 758, 734, 735, 709, 660, 645, 612, 376, 360, 220, 168, 
##     156, 122, 116, 84, 44, -89, -116, -297, -295, -301, -298, 
##     -298, -299, -297, -298, -299, -298, -312, -312, -319, -321, 
##     -326, -333, -332, -361, -373, -369, -377, -375, -377, -373, 
##     -373, -375, -365, -368, -367, -365, -362, -359, -362, -353, 
##     -348, -331, -58, 40, 153, 319, 356, 474, 539, 612, 630, 673, 
##     698, 733, 772, 763, 749, 739, 689, 663, 551, 486, 448, 405, 
##     390, 383, 373, 367, 362, 367, 373, 380, 413, 428, 463, 486, 
##     527, 561, 645, 661, 758, 758, 750, 714, 699, 675, 662, 627, 
##     601, 563, 417, 247, 220, 103, -20, -105, -225, -240, -256, 
##     -287, -313, -313, -310, -303, -219, -175, -107, 51, 115, 
##     146, 280, 319, 450, 530, 559, 614, 629, 670, 718, 764, 763, 
##     738, 719, 663, 652, 628, 613, 568, 507, 494, 470, 572, 489, 
##     457, 393, 339, 316, 277, 215, 176, 128, 87, 54, 41, -15, 
##     -97, -116, -176, -184, -216, -236, -240, -256, -289, -283, 
##     -287, -279, -264, 382, 359, 347, 333, 344, 373, 440, 470, 
##     521, 665, 722, 745, 728, 711, 702, 636, 622, 529, 509, 458, 
##     382, 337, 304, 187, 137, 113, 42, 8, -126, -148, -174, -242, 
##     -246, -266, -276, -290, -294, -296, -294, -279, -277, -272, 
##     -266, -235, -210, -197, 74, 109, 175, 404, 615, 640, 687, 
##     742, 760, 761, 756, 752, 709, 686, 648, 608, 583, 570, 542, 
##     508, 500, 471, 427, 413, 298, 272, 270, 266, 264, 263, 263, 
##     300, 337, 368, 398, 413, 497, 521, 562, 624, 697, 714, 753, 
##     751, 740, 714, 703, 675, -301, -295, -241, -227, -191, -115, 
##     -42, 183, 403, 486, 559, 583, 629, 664, 711, 728, 744, 771, 
##     752, 743, 679, 646, 594, 548, 507, 467, 458, 427, 347, 358, 
##     363, 399, 420, 460, 492, 574, 621, -170, -193, -219, -233, 
##     -234, -262, -262, -275, -275, -286, -287, -276, -267, -236, 
##     -230, -200, -192, -14, 40, 142, 216, 320, 432, 498, 594, 
##     676, 720, 757, 746, 730, 727, 700, 627, 595, 586, 555, 517, 
##     476, 460, 444, 422, 421, 414, 410, 409, 415, 427, 458, 475, 
##     535, 590, 600, 654, 674, 731, 760, 747, 741, 733, 678, 631, 
##     607, 587, 552, 500, 456, 448, 382, 338, 110, 92, 1, -97, 
##     -102, -140, -169, -244, -281, -293, -301, -299, -302, -309, 
##     -310, -286, -266, -261, -208, -186, -123, -76, 8, 174, 407, 
##     569, 653, 709, 765, 728, 711, 679, 646, 642, 622, 603, 593, 
##     581, 569, 535, 532, 514, 492, 459, 454, 447, 440, 438, 449, 
##     453, 461, 469, 488, 530, 547, 559, 591, 607, 654, 688, 699, 
##     726, 711, 670, 639, 617, 582, 525, 507, 466, 442, 403, 354, 
##     334, 282, 264, 199, 147, 88, -6, -59, -97, -142, -190, -223, 
##     -232, -264, -279, -309, -309, -316, -334, -348, -344, -354, 
##     -346, -351, -357, -347, -334, -333, -278, -262, -233, -158, 
##     -80, 82, 193, 556, 681, 757, 761, 709, 692, 640, 630, 560, 
##     525, 502, 475, 439, 391, 365, 360, 360, 360, 371, 365, 378, 
##     400, 403, 422, 470, 552, 583, 620, 639, 671, 717, 743, 747, 
##     633, 678, 718, 728, 761, 749, 735, 700, 647, 545, 525, 486, 
##     349, 282, 238, 133, 122, 76, 58, 1, -39, -53, -74, -113, 
##     -120, 656, 645, 559, 538, 367, 320, 173, 62, 49, -19, -137, 
##     -178, -214, -223, -238, -258, -278, -295, -203, -163, -85, 
##     -31, 6, 224, 296, 406, 505, 613, 694, 719, 728, 757, 760, 
##     765, 762, 766, 748, 725, 703, 693, 671, 643, 600, 576, 566, 
##     539, 527, 496, 477, 456, 407, 375, 385, 397, 411, 437, 499, 
##     570, 623, 668, 735, 754, 758, 747, 730, 664, 631, -123, -169, 
##     -184, -193, -196, -215, -220, -224, -240, -240, -241, -247, 
##     -253, -254, -260, -259, -261, -265, -269, -274, -274, -278, 
##     -286, -288, 752, 745, 728, 692, 671, 645, 579, 501, 491, 
##     457, 425, 393, 381, 195, 155, 109, 41, 22, -18, -234, -232, 
##     -220, -208, -180, -134, -60, -19, 50, 72, 114, 191, 243, 
##     273, 353, 409, 454, 579, 603, 635, 664, 676, 690, 720, 729, 
##     743, 763, 761, 762, 665, 693, 709, 727, 726, 726, 724, 718, 
##     719, 711, 710, 706, 713, 716, 726, 719, 726, 726, 719, 719, 
##     717, 679, -452, -439, -443, -426, -407, -240, -183, -119, 
##     -40, 8, 59, 91, 270, 319, 342, 377, 435, 456, 534, 544, 595, 
##     633, 639, 655, 663, 679, 685, 692, 705, 713, 721, 728, 724, 
##     726, 724, 717, 718, 711, 711, 711, 709, 703, 702, 707, 731, 
##     725, 706, 689, 679, 645, 627, 614, 571, 534, 508, 383, 364, 
##     316, 273, 216, 162, 130, 77, 56, 27, -24, -58, -86, -111, 
##     -119, -148, -181, -199, -226, -272, -290, -332, -347, -366, 
##     -376, -400, -403, -399, -379, -349, -332, -286, -245, -196, 
##     -176, -47, 238, 328, 414, 447, 477, 523, 567, 608, 648, 666, 
##     674, 680, 697, 698, 715, 723, 722, 727, 726, 725, 724, 723, 
##     719, 719, 718, 721, 726, 728, 730, 731, 730, 728, 726, 720, 
##     700, 610, 523, 470, 439, 425, 393, 358, 303, 251, 230, 191, 
##     142, 106, 41, 21, -11, -52, -134, -160, -199, -278, -298, 
##     -321, -377, -405, -409, -408, -406, -397, -379, -354, -328, 
##     -312, -276, -231, -185, -172, -128, -104, -58, 13, 66, 91, 
##     704, 699, 693, 697, 699, 699, 702, 699, 703, 717, 725, 724, 
##     728, 729, 729, 734, 727, 726, 708, 703, 685, 668, 630, 583, 
##     562, -324, -328, -327, -326, -318, -301, -313, -304, -301, 
##     -295, -293, -292, -284, -268, -182, 3, 78, 160, 219, 246, 
##     331, 406, 460, 533, 574, 682, 703, 715, 722, 725, 731, 727, 
##     706, 695, 589, 555, 542, 502, 361, 342, 261, 228, 217, 212, 
##     213, 233, 233, 256, 263, 282, 295, 316, 362, 439, 491, 559, 
##     607, 638, 681, 696, 731, 718, 710, 638, 536, 381, 220, 161, 
##     115, 76, -51, -98, -121, -188, -254, -273, -297, -355, -364, 
##     -412, -408, -399, -377, -372, -353, -309, -276, -209, -164, 
##     -137, 81, 319, 550, 591, 646, 657, 678, 704, 722, 726, 715, 
##     720, 637, 577, 552, 527, 523, 499, 470, 459, 432, 345, 290, 
##     283, 262, 246, 271, 299, 307, 335, 393, 415, 432, 468, 507, 
##     527, 591, 618, 630, 666, 694, 715, 733, 732, 706, 642, 533, 
##     513, 442, 384, 342, 262, 186, -73, -137, -154, -193, -234, 
##     -276, -327, -338, -348, -369, -382, -385, -395, -383, -371, 
##     -363, -314, -288, -236, -70, -43, 276, 368, 397, 450, 472, 
##     520, 570, 647, 692, 718, 738, 728, 715, 671, 659, 593, 571, 
##     535, 515, 495, 489, 464, 409, 409, 324, 309, 255, 182, 134, 
##     -37, -87, -126, -215, -243, -275, -302, -357, -424, -437, 
##     -456, -450, -423, -322, -309, -263, -128, -37, 72, 292, 370, 
##     399, 470, 498, 551, 595, 658, 668, 707, 724, 728, 729, 726, 
##     689, 679, 648, 631, 537, 527, 500, 444, 432, 434, 434, 453, 
##     452, 464, 483, 480, 520, 530, 543, 570, 583, 621, 655, 676, 
##     723, 737, 738, 734, 727, 604, 474, -409, -396, -375, -359, 
##     -341, -326, -221, -6, 98, 129, 317, 345, 393, 531, 606, 663, 
##     687, 701, 716, 729, 734, 735, 732, 722, 728, 709, 699, 678, 
##     656, 596, 547, 539, 515, 459, 425, 418, 420, 421, 433, 469, 
##     538, 619, 646, 668, 670, 713, 727, 728, 735, 726, 716, 709, 
##     695, 682, 623, 581, 571, 496, 469, 426, 402, 363, 339, 169, 
##     100, 26, -13, -169, -311, -334, -361, -390, -396, -411, -415, 
##     -393, -361, -316, -307, -191, -57, 21, 156, 220, 308, 332, 
##     395, 536, 594, 634, 690, 698, 722, 717, 725, 731, 732, 729, 
##     726, 726, 708, 636, 611, 586, 538, 535, 405, 454, 457, 465, 
##     480, 490, 517, 577, 605, 619, 655, 661, 695, 729, 731, 730, 
##     728, 710, 653, 485, 425, 347, 290, 221, -27, -90, -170, -216, 
##     -252, -263, -328, -352, -374, -435, -427, -424, -414, -359, 
##     -347, -306, -272, -165, -37, -4, 88, 153, 247, 344, 405, 
##     432, 612, 645, 675, 694, 726, 725, 733, 733, -230, -238, 
##     -236, -242, -235, 759, 761, 758, 765, 752, 754, 743, 729, 
##     723, 724, 725, 733, 739, 740, 739, 752, 756, 759, 754, 758, 
##     759, -40, -51, -65, -96, -104, -125, -173, -191, -210, -223, 
##     -229, -245, -247, -265, -277, -275, -278, -273, -253, -241, 
##     -77, -7, 165, 225, 338, 449, 479, 518, 582, 619, 700, 709, 
##     729, 746, 756, 759, 759, 757, 751, 745, 744, 735, 731, 720, 
##     722, 717, 721, 720, 723, 727, 728, 730, 735, 737, 741, 731, 
##     732, 735, 734, 742, 738, 739, 748, 743, 755, 752, 750, 747, 
##     757, 757, 758, 758, 759, 759, 317, 239, 217, 117, 12, -83, 
##     -108, -148, -238, -282, -303, -319, -369, -373, -396, -399, 
##     -409, -433, -429, -432, -413, 359, 369, 387, 420, 439, 465, 
##     482, 508, 535, 553, 572, 610, 650, 670, 690, 705, 731, 732, 
##     739, 733, 734, 713, 705, 619, 571, 502, 369, 345, 254, 226, 
##     183, 171, 124, 26, -24, -60, -170, -192, -220, -231, -262, 
##     -291, -312, -316, 267, 295, 364, 419, 475, 511, 532, 566, 
##     622, 647, 666, 687, 702, 700, 716, 729, 731, 730, 723, 730, 
##     728, 722, 716, 656, 648, 610, 546, 407, 390, 349, 227, 129, 
##     -38, -77, -99, -133, -192, -260, -380, -393, -411, -430, 
##     -438, 532, 491, 399, 353, 256, -197, -277, -385, -398, -413, 
##     -414, -389, -288, -198, 59, 160, 214, 468, 506, 693, 428, 
##     477, 528, 596, 646, 699, 738, 753, 735, 695, 678, 622, 595, 
##     519, 483, 369, 136, 99, 10, -21, -97, -204, -235, -291, -431, 
##     -430, -425, -384, -363, -199, -41, 107, 204, 263, 499, 538, 
##     651, 698, 747, 746, 747, 708, 657, 627, 605, 544, 447, 439, 
##     438, 484, 499, 561, 667, 685, 708, 740, 746, -289, -289, 
##     -290, -297, -300, -302, -302, -310, -311, -314, -309, -312, 
##     -304, -313, -309, -309, -311, -309, -311, -306, -313, -311, 
##     -30, 71, 229, 329, 400, 428, 526, 570, 593, 645, 689, 706, 
##     724, 747, 747, 722, 725, 730, 740, 748, 754, 751, 748, 736, 
##     703, 663, 642, 575, 453, 416, 362, 217, 181, 41, 5, -95, 
##     -232, -295, -298, -281, -272, -147, -4, 32, 108, 143, 295, 
##     330, 505, 618, 692, 737, 730, 713, 698, 600, 583, 538, 425, 
##     359, 293, 26, -239, -296, -362, -405, -412, -425, -428, -446, 
##     -448, -454, -454, -453, -445, -417, -394, -320, -299, -235, 
##     -21, 31, 119, 165, 77, 43, -241, -262, -306, -316, -375, 
##     -395, -393, -396, -411, -415, -434, -439, -443, -445, -440, 
##     -434, -435, -350, -311, 248, 354, 468, 627, 695, 723, 737, 
##     742, 720, 701, 690, 642, 511, 427, 358, 163, 2, -89, -125, 
##     -137, -135, -120, -69, -23, 29, 122, 267, 581, 657, 722, 
##     732, 683, 624, 597, 570, 558, 492, 505, 542, 594, 659, 697, 
##     733, 732, 723, 678, 596, -230, -268, -322, -400, -432, -439, 
##     -446, -449, -445, -448, -444, -432, -420, -391, -366, -323, 
##     -285, -61, 168, 288, 405, 514, 343, 343, 368, 382, 432, 484, 
##     505, 539, 584, 631, 653, 667, 696, 688, 671, 662, 610, 566, 
##     481, 420, 220, 154, -13, -73, -162, -185, -319, -359, 598, 
##     517, 459, -20, -48, -115, -209, -293, -376, -454, -470, -460, 
##     -473, -478, -478, -468, -459, -459, -403, -416, -434, -455, 
##     -456, -444, -441, -401, -391, -141, 71, 140, 256, 317, 466, 
##     522, 645, 755, 773, -140, -201, -299, -327, -323, -325, -307, 
##     -264, -120, 54, 97, 222, 310, 431, 572, 602, 681, 721, -37, 
##     174, 264, 393, 516, 582, 609, 668, 722, 746, 763, 765, 764, 
##     744, 715, 690, 677, 616, 491, 441, 298, 176, 179, 275, 286, 
##     503, 360, 276, 228, 169, 149, 75, 48, 57, 74, 122, 140, 183, 
##     358, 514, 532, 577, 638, 711, 743, 774, 745, 401, 471, 536, 
##     564, 666, 693, 761, 774, 775, 683, 672, 630, 602, 522, 491, 
##     453, 427, 225, 79, -3, -297, -339, -348, 136, 361, 449, 728, 
##     750, 760, 759, 679, 641, 502, 470, 347, 243, 127, 116, 106, 
##     129, 155, 233, 282, 315, 335, 439, 543, 753, 769, 770, 775, 
##     758, 744, 658, 607, 590, 540, 424, 357, 280, 263, 238, 244, 
##     272, 323, 360, 429, 505, 561, 771, -336, -320, -321, -326, 
##     -324, -329, -327, -320, -319, -320, -314, -316, -315, -318, 
##     -302, -281, -205, -188, -147, -65, 97, 129, 204, 394, 599, 
##     653, 672, -278, -251, -155, 19, 55, 126, 288, 522, 605, 678, 
##     685, 711, 723, 739, 757, 772, 773, 758, 751, 736, 728, 714, 
##     699, 700, 696, 704, 130, 77, 58, 10, -10, -57, -77, -151, 
##     -221, -273, -292, -314, -344, -356, -388, -345, -324, -293, 
##     -276, -215, -160, -78, 25, 158, 299, 588, 640, 673, 750, 
##     759, 758, 759, 734, 643, 585, 500, 431, 296, 231, 154, 125, 
##     -52, -120, -156, -216, -299, -357, -421, -469, -487, -497, 
##     -490, -490, -477, -474, -468, -453, -425, -423, -384, -366, 
##     -311, -276, -264, -151, -75, 58, 110, 218, 232, 281, 293, 
##     482, 515, 529, 554, 577, 599, 630, 631, 643, 636, 624, 611, 
##     594, 535, 532, 456, 436, 397, 365, 345, 232, 184, 162, 120, 
##     69, -42, -131, -163, -215, -243, -257, -310, -326, -343, 
##     -339, -353, -344, -358, -355, -335, -326, -322, -309, -294, 
##     -277, -201, -188, -151, -100, -41, 1, 52, 77, 212, 263, 294, 
##     342, 427, 512, 550, 603, 611, 639, 648, 642, 631, 625, 617, 
##     601, 567, 536, 504, 392, 369, 235, 221, 176, 162, 4, -22, 
##     -71, -128, -216, -229, -280, -212, -234, -338, -364, -376, 
##     -400, -425, -435, -446, -444, -444, -445, -441, -441, -438, 
##     -432, -422, -420, -382, -373, -351, -271, -29, 88, 152, 181, 
##     209, 152, 113, 87, 52, -22, -64, -197, -234, -357, -390, 
##     -414, -433, -440, -440, -446, -445, -444, -442, -425, -406, 
##     -374, -290, -230, -211, -162, -3, 54, 86, 148, 175, 225, 
##     445, 464, 571, 624, 650, 658, 685, 699, 700, 715, 712, 708, 
##     698, 680, 656, 635, 595, 569, 548, 526, 447, 385, 337, 295, 
##     187, 172, 80, -9, -103, -157, -254, -317, -342, -360, -367, 
##     -364, -374, -376, -372, -368, -368, -367, -364, -360, -353, 
##     -348, -331, -304, -263, -221, -181, -55, 142, 221, 278, 299, 
##     676, 647, 628, 568, 559, 471, 435, 363, 218, 114, 99, 41, 
##     -40, -87, -135, -187, -224, -275, -304, -312, -338, -354, 
##     -401, -420, -425, -424, -417, -410, -383, -352, -344, -305, 
##     -258, -82, -29, 180, 221, 250, 347, 492, 514, 547, 580, 597, 
##     632, 641, 626, 622, 603, 540, 531, 512, 481, 474, 447, 395, 
##     293, 181, 137, 93, 23, -30, -137, -222, -284, -342, -376, 
##     -390, -412, -431, -424, -425, -378, -355, -341, -311, -182, 
##     -131, -107, -25, 71, 185, 261, 351, 569, 586, 631, 692, 693, 
##     693, 693, 654, 552, 527, 515, 461, 373, 261, 91, 46, -17, 
##     -53, -73, -139, -243, -275, -295, -352, -360, -384, -416, 
##     -419, -438, -442, -429, -413, -408, -389, -380, -319, -245, 
##     -113, -64, -43, 9, 30, 89, 288, 360, 477, 493, 539, 550, 
##     589, 662, 671, 270, -90, -294, -366, -386, -406, -422, -461, 
##     -459, -453, -427, -387, -367, -158, -125, 7, 355, 429, 466, 
##     544, 609, 628, 701, 726, 744, 736, 673, 624, 582, 522, 492, 
##     383, 346, 126, 94, 33, -53, -111, -134, -186, -242, -253, 
##     -254, -227, -117, -57, 49, 77, 279, 528, 671, 727, 665, 579, 
##     480, 449, 380, 280, 207, 170, -107, -225, -260, -328, -385, 
##     -405, -410, -423, -443, -496, -499, -491, -490, -402, -342, 
##     -146, -45, -4, 99, 250, 297, 390, 508, 575, 605, 655, 702, 
##     735, 738, 653, 549, 495, 474, 317, 96, -73, -104, -183, -262, 
##     -242, -197, -110, 240, 304, 347, 417, 573, 605, 695, 711, 
##     741, 743, 734, 605, 567, 518, 414, 260, 185, 146, 70, -337, 
##     -449, -471, -463, -460, -460, -456, -436, -425, -418, -380, 
##     -350, -122, -25, 69, 114, 256, 346, 428, 474, 548, 574, 641, 
##     680, 723, 726, 710, 663, 623, 567, 546, 486, 393, 329, 228, 
##     -30, -79, -165, -189, -275, -271, -270, -249, -186, -39, 
##     26, 62, 252, 314, 356, 422, 491, 702, 725, 744, 733, 723, 
##     675, -370, -377, -365, -367, -350, -323, -230, -124, -102, 
##     282, 316, 378, 581, -338, -363, -373, -379, -379, -383, -385, 
##     -385, -379, -387, -390, -387, -364, -357, -340, -330, -305, 
##     -280, -266, 144, 336, 371, 592, 708, 725, 735, 740, 733, 
##     741, 724, 709, 697, 656, 604, 562, 301, 251, 118, -51, -186, 
##     -254, -270, -299, -367, -379, -384, -394, -395, -401, -398, 
##     -389, -376, -368, -350, -276, -253, -178, -126, 332, 460, 
##     521, 570, 615, 676, 703, 731, 735, 739, 736, 732, 733, 727, 
##     719, 707, 680, 592, 564, 540, 496, 473, 300, 217, 77, -8, 
##     -153, -365, -388, -384, -394, -396, -395, -386, -375, -353, 
##     -294, -170, -72, -39, 32, 228, 342, 409, 500, 528, 644, 689, 
##     707, 722, 735, 735, 740, 742, 730, 735, 742, 739, 741, 730, 
##     727, 711, 700, 675, 618, 604, 551, 510, 479, 433, 347, 322, 
##     201, -29, -178, -303, -369, -407, -418, -423, -409, -364, 
##     -313, -144, -27, 426, 502, 582, 647, 690, 695, 706, 735, 
##     737, 740, 736, 726, 724, 722, 725, 730, 728, 732, 733, 733, 
##     733, 728, 713, 706, 686, -424, -419, -415, -413, -385, -370, 
##     -342, -312, -168, 10, 203, 235, 318, 398, 425, 525, 687, 
##     712, 731, 729, 723, 710, 726, 719, 722, 728, 728, 705, 628, 
##     525, 506, 456, 219, 126, 70, 43, -57, -112, -191, -270, -360, 
##     -404, -410, -417, -420, -418, -422, -423, -425, -430, -403, 
##     -358, -309, -265, -109, -63, 763, 763, 749, 734, 700, 691, 
##     601, 528, 471, 448, 387, 322, 297, 88, 78, 91, 122, 152, 
##     171, 206, 345, 447, 524, 591, 690, 699, 758, 744, 731, 702, 
##     685, 597, 518, 446, 361, 306, 143, 82, -15, -68, -111, -125, 
##     -209, -245, -263, -271, -262, -264, -255, -240, -195, -151, 
##     -105, -87, -27, 54, 367, 617, 654, 729, 741, 763, 769, 753, 
##     743, 657, 614, 584, 563, 511, 444, 400, 327, 267, 237, 204, 
##     199, 252, 328, 446, 600, 700, 743, 774, 757, 730, 715, 654, 
##     535, 478, 445, 324, 231, 134, 72, -25, -54, -140, -192, -234, 
##     -255, -324, -419, -429, -436, -450, -449, -438, -392, -303, 
##     -278, -138, 37, 286, 514, 681, 715, 744, 766, 591, 535, 509, 
##     453, 298, 267, 207, 157, 127, 44, -1, -155, -208, -223, -232, 
##     -240, -256, -259, -262, -261, -263, -263, -272, -267, -267, 
##     -270, -273, -276, -270, -280, -275, -278, -286, -294, -300, 
##     -312, -314, -319, -336, -343, -350, -346, -352, -354, -359, 
##     -351, -350, -347, -343, -338, -344, -342, -347, -341, -333, 
##     -339, -339, -339, -335, -338, -336, -336, -332, -327, -324, 
##     -320, -326, -325, -325, -328, -323, -331, -327, -328, -339, 
##     -342, -336, -331, -329, -325, -319, -326, -322, -326, -320, 
##     -318, -312, -291, -296, -305, -313, -316, -313, -320, -315, 
##     -314, -317, -322, -324, -326, -324, -320, -317, -302, -278, 
##     -267, -265, -257, -250, -250, -246, -246, -258, -255, -260, 
##     -260, -263, -266, -273, -270, -264, -275, -272, -277, -276, 
##     -279, -272, -280, -277, -278, -275, -280, -270, -268, -264, 
##     -248, -246, -226, -203, -195, -174, -131, -79, -38, 215, 
##     438, 505, 532, 637, 664, 696, 696, 694, 655, 650, 587, 570, 
##     507, 265, 203, 128, 77, 52, -11, -79, -176, -220, -291, -339, 
##     -337, -352, -351, -340, -328, -306, -183, -164, -87, 38, 
##     170, 198, 249, 371, 394, 439, 508, 554, 603, 617, 680, 714, 
##     714, 721, 707, 708, 706, 678, 678, 648, 523, 503, 461, 406, 
##     326, 297, 246, 96, 10, -112, -171, -224, -255, -292, 627, 
##     609, 584, 568, 484, 464, 398, 346, 294, 273, 190, 132, 108, 
##     -19, -84, -170, -277, -292, -171, 63, 119, 181, 204, 266, 
##     364, 411, 432, 517, 584, 619, 653, 686, 705, 712, 718, 725, 
##     726, 712, 716, 646, 607, 582, 561, 522, 487, 459, 392, 292, 
##     189, 11, -61, -86, -160, -233, -269, -309, -326, -345, -341, 
##     -343, -342, -326, -284, -265, -227, -157, -70, 24, 89, 197, 
##     254, 288, 349, 445, 469, 543, 585, 643, 715, 730, 739, 744, 
##     749, 748, 753, 745, 750, 731, 716, 716, 693, 678, 466, 421, 
##     388, 325, 299, 238, 136, 70, -126, -180, -249, -266, -312, 
##     -387, -314, -156, -120, 465, 435, 415, 407, 432, 448, 503, 
##     607, 630, 669, 724, 734, 744, 695, 653, 532, 410, 148, 61, 
##     -70, -231, -296, -320, -362, -392, -406, -426, -450, -453, 
##     -443, -445, -440, -420, -362, -321, -119, 36, 192, 257, 366, 
##     511, 634, 713, 731, 753, 718, 676, 593, 533, 520, 481, 461, 
##     446, 457, 469, 486, 505, 586, 683, 745, 752, 757, 742, 730, 
##     709, 682, 624, 585, 514, 322, 187, 93, 48, -33, -222, -316, 
##     -384, -401, -427, -447, -452, -362, -236, -203, -125, -82, 
##     72, 499, 531, 647, 743, 666, 644, 612, 583, 524, 441, 436, 
##     424, 495, 509, 649, 685, 732, 734, 697, 535, 494, 365, 323, 
##     250, 214, 31, -70, -157, -188, -236, -256, -292, -310, -355, 
##     -389, -403, -416, -417, -332, -333, -335, -332, -342, -333, 
##     -336, -336, -345, -341, -337, -341, -343, -343, -344, -339, 
##     -347, -338, -339, -337, -345, -342, -339, -340, -342, -336, 
##     -334, -337, -335, -322, -317, -315, -296, -284, -224, -214, 
##     -175, -119, 25, 58, 270, 295, 351, 424, 449, 551, 620, 638, 
##     633, 621, 623, 615, 615, 604, 602, 538, 489, 421, 348, 169, 
##     118, 82, 6, -70, -129, -146, -183, -224, -376, -384, -396, 
##     -395, -393, -396, -390, -381, -379, -359, -353, -338, -328, 
##     -292, -255, -233, -155, 85, 113, 338, 366, 423, 501, 579, 
##     611, 626, 634, 663, 651, 639, 631, 633, 600, 572, 542, 497, 
##     428, 404, 234, -32, -191, -251, -295, -310, -347, -362, -390, 
##     -395, -409, -415, -424, -419, -419, -413, -386, -377, -315, 
##     -296, -250, -224, 52, 97, 251, 372, 501, 623, 646, 676, 665, 
##     662, 625, 614, 473, 370, 326, 233, -9, -127, -317, -380, 
##     -452, -456, -456, -416, -387, -373, -334, -317, -43, 32, 
##     73, 352, 388, 448, 475, 552, 584, 650, 651, 664, 662, 642, 
##     621, 535, 496, 328, 186, 161, 97, 65, -71, -158, -212, -234, 
##     -277, -302, -340, -378, -392, -404, -412, -416, -423, -428, 
##     -424, -416, -369, -247, -18, 59, 176, 214, 328, 400, 468, 
##     490, 545, 566, 649, 660, 689, 682, 683, 638, 566, 500, 427, 
##     330, 234, 46, -37, -126, -202, -248, -363, -399, -429, -422, 
##     -427, -418, -410, -396, -368, -347, 57, 101, 225, 475, 500, 
##     570, 614, 630, 662, 669, 687, 704, 705, 701, 699, 683, 671, 
##     650, 644, 545, 495, 426, 313, 249, 145, 49, -73, -202, -273, 
##     -296, -356, -381, -382, -408, -423, -420, -422, -400, -365, 
##     -329, -142, -73, -39, 160, 275, 482, 637, 659, 661, 663, 
##     666, 662, 636, 615, 573, 525, 465, 451, 400, 376, 318, 223, 
##     91, -17, -73, -171, -232, -251, -359, -407, -421, -423, -427, 
##     -419, -399, -277, -228, -138, -107, 9, 367, 435, 550, 600, 
##     657, 699, 704, 702, 694, 676, 636, 609, 558, 539, 491, 427, 
##     321, 230, 163, -28, -161, -218, -346, -384, -392, -416, -422, 
##     -421, -407, -381, -375, -338, -41, 34, 79, 316, 490, 565, 
##     587, 659, 671, 620, 555, 516, 490, 315, 206, 139, -74, -132, 
##     -227, -265, -328, -367, -379, -403, -393, -386, -378, -362, 
##     -310, -197, -106, 7, 156, 270, 344, 437, 511, 580, 587, 688, 
##     675, 669, 658, 643, 634, 631, 595, 594, 559, 542, 511, 465, 
##     391, 71, 16, -152, -190, -352, -352, -351, -344, -349, -348, 
##     -341, -343, -342, -337, -344, -338, -335, -341, -341, -339, 
##     -345, -341, -342, -340, -339, -341, -339, -338, -341, -332, 
##     -338, -337, -340, -335, -336, -340, -341, -337, 656, 663, 
##     729, 750, 747, 731, 716, 619, 302, 91, 53, -23, -271, -343, 
##     -381, -395, -427, -432, -438, -419, -390, -242, -208, -127, 
##     -84, 72, 557, 591, 681, 717, 738, 730, 630, 484, 359, 330, 
##     297, 256, 197, 177, 87, 39, 1, -27, -70, -90, -132, -140, 
##     -177, -223, -247, -261, -283, -284, -296, -293, -264, -202, 
##     -126, -15, 36, 221, 329, 307, 281, 236, 160, 114, 92, 80, 
##     5, -25, -50, -135, -157, -168, -186, -239, -248, -253, -271, 
##     -279, -281, -271, 447, 426, 392, 358, 337, 330, 313, 311, 
##     313, 329, 346, 364, 387, 504, 636, 679, 712, 728, 743, 747, 
##     741, 706, 630, 507, 463, 366, 292, 249, -24, -83, -134, -156, 
##     -262, -291, -307, -365, -406, -412, -419, -412, -415, -410, 
##     -411, -412, -419, -419, -424, -425, -440, -439, -443, -439, 
##     -439, -441, -439, -439, -441, -435, -437, -433, -431, -432, 
##     -431, -427, -425, -422, -427, -414, -406, -398, -408, -418, 
##     -423, -417, -413, -413, -423, -417, -417, -419, -408, -408, 
##     -402, -397, -393, -388, -379, -379, -363, -370, -358, -361, 
##     -358, -297, -292, -279, -270, -255, -231, -177, -159, -120, 
##     -92, -60, 57, 136, 277, 304, 474, 533, 582, 615, 619, 648, 
##     683, 691, 699, 712, 715, 722, 721, 725, 712, 721, 715, 713, 
##     713, 713, 709, 706, 680, 665, 616, 596, 578, 544, 378, 359, 
##     328, 312, 285, 251, 202, 164, 137, 135, 74, 29, 1, -21, -58, 
##     -62, -74, -85, -92, -96, -121, -131, -204, -221, -228, -266, 
##     -309, -314, -324, -329, -328, -332, -330, -325, -262, -217, 
##     -118, -105, -56, -31, 69, 98, 248, 325, 367, 391, 423, 448, 
##     522, 556, 630, 647, 668, 674, 690, 695, 716, 715, 732, 751, 
##     747, 751, 748, 748, 744, 743, 733, 739, 718, 715, 710, 660, 
##     649, 633, 567, 553, -228, -237, -255, -252, -255, -256, -250, 
##     -246, -209, -201, -134, -128, -98, -47, -32, 14, 38, 103, 
##     151, 221, 250, 291, 345, 366, 428, 490, 660, 668, 675, 691, 
##     700, 707, 711, 725, 717, 720, 716, 717, 714, 703, 695, 690, 
##     677, 663, 648, 630, 603, 537, 529, 491, 439, 389, 262, 193, 
##     111, 88, 49, 36, -96, -140, -161, -178, -216, -234, -250, 
##     -252, -273, -277, -304, -314, -344, -347, -347, -345, -347, 
##     -344, -302, -219, -117, -6, 66, 99, 142, 212, 280, 330, 382, 
##     407, 458, 491, 510, 544, 557, 573, 595, 676, 694, 701, 693, 
##     696, 691, 693, 690, 687, 688, 678, 674, 669, 635, 583, 575, 
##     515, 489, 439, 328, 211, 198, 126, 74, -58, -109, -140, -154, 
##     -191, -215, -226, -231, -248, -251, -254, -272, -278, -298, 
##     -299, -310, -300, -303, -264, -247, -218, -200, -173, -148, 
##     -127, -82, -64, 6, 204, 320, 380, 461, 566, 583, 596, 601, 
##     628, 630, 665, 679, 682, 683, 686, 690, 696, 703, 706, -245, 
##     -262, -297, -297, -332, -345, -346, -351, -361, -349, -353, 
##     -350, -347, -342, -323, -281, -254, -237, -205, -158, -86, 
##     22, 71, 92, 138, 164, 213, 302, 414, 454, 471, 511, 519, 
##     556, 560, 619, 630, 671, 693, 706, 714, 712, 714, 725, 718, 
##     717, 718, 723, 716, 712, 700, 687, 631, 531, 409, 350, 304, 
##     241, 135, 41, -37, -66, -170, -214, -239, -282, -301, -320, 
##     -333, -353, -371, -373, -372, -368, -356, -354, -346, -340, 
##     -315, -280, -268, -177, -69, 82, 140, 164, 299, 320, 369, 
##     490, 537, 566, 575, 600, 631, 667, 678, 687, 695, 703, 702, 
##     702, 705, 703, 693, 680, 636, 615, 522, 411, 277, 217, 197, 
##     115, 98, 65, 36, -32, -44, -91, -167, -181, -217, -236, -260, 
##     -292, -306, -319, -338, -344, -359, -361, -361, -361, -357, 
##     -334, -308, -267, -232, -215, -32, -12, 52, 102, 177, 247, 
##     296, 373, 432, 535, 577, 633, 647, 688, 695, 703, 705, 706, 
##     703, 697, 690, 689, 685, 665, 670, 663, 644, 615, 606, 575, 
##     529, 447, 405, 293, 280, 207, 161, 140, 101, 70, 57, -21, 
##     -81, -106, -160, -185, -217, -233, -246, 702, 701, 693, 676, 
##     638, 611, 571, 565, 536, 481, 323, 158, 141, -34, -52, -145, 
##     -160, -183, -198, -213, 525, 431, 415, 278, 183, 153, 120, 
##     103, 13, -13, -48, -73, -155, -194, -210, -207, -224, -372, 
##     -369, -368, -367, -364, -366, -363, -368, -374, -381, -381, 
##     -383, -390, -385, -391, -391, -392, -391, -385, -392, -384, 
##     -376, -379, -378, -361, -349, -331, -320, -307, -251, -229, 
##     -169, -128, 30, 94, 124, 198, 427, 565, 595, 670, 728, 750, 
##     760, 769, 767, 753, 737, 707, 619, 550, 500, 529, 509, 500, 
##     485, 473, 458, 459, 455, 457, 489, 508, 555, 568, 694, 749, 
##     757, 691, 658, 632, 578, 428, 419, 281, 317, 381, 468, 528, 
##     554, 614, 662, 676, 723, 767, 762, 760, 744, 725, 681, 657, 
##     633, 551, 720, 702, 682, 659, 634, 612, 567, 550, 523, 508, 
##     489, 475, 470, 469, 489, 534, 548, 558, 38, 0, -24, -61, 
##     -216, -354, -363, -397, -406, -411, -413, -430, -436, -420, 
##     -417, -390, -346, -309, -294, -246, -197, -107, 51, 156, 
##     344, 405, 576, 633, 687, 729, 718, 707, 673, 648, 633, 607, 
##     552, 523, 457, 447, 428, 427, 420, 415, 419, 426, 424, 460, 
##     468, 491, 541, 565, 588, 607, 629, 650, 660, 680, 695, 699, 
##     718, 730, 737, 713, 704, 678, 646, 608, 590, 558, 433, 395, 
##     295, 248, 55, 10, -98, -123, -162, -205, -223, -261, -299, 
##     -344, -384, -401, -386, -361, -320, -207, -84, -34, -9, 57, 
##     263, 433, 537, 593, 628, 648, 672, 685, 702, 723, 719, 735, 
##     728, 716, 709, 696, 690, 682, 593, 578, 566, 551, 528, 455, 
##     427, 425, 418, 430, 434, 439, 450, 471, 510, 529, 569, 628, 
##     680, 695, 718, 727, 725, 692, 682, 539, 424, 394, 360, 291, 
##     241, 164, 134, 10, -31, -94, -109, -152, -190, -214, -249, 
##     -302, -336, -349, -374, -389, -425, -463, -459, -456, -446, 
##     -439, -427, -373, -340, -275, -106, -72, -6, 402, 351, 360, 
##     355, 360, 365, 382, 390, 405, 411, 421, 433, 459, 481, 533, 
##     583, 600, 616, 688, 709, 719, 733, 734, 707, -424, -372, 
##     -366, -333, -322, -298, -245, -215, -197, -169, -15, 54, 
##     99, 122, 167, 216, 241, 287, 312, 352, 473, 513, 525, 557, 
##     591, 645, 666, 669, 678, 685, 703, 701, 696, 690, 648, 639, 
##     628, 622, 613, 579, 559, 493, 451, 426, 363, 334, 282, 265, 
##     199, 127, 42, -35, -120, -149, -160, -184, -241, -244, -312, 
##     -328, -340, -341, -323, -307, -279, -206, -158, -97, 151, 
##     203, 338, 403, 471, 484, 520, 549, 564, 575, 600, 618, 637, 
##     645, 655, 662, 669, 685, 681, 684, 680, 680, 680, 677, 665, 
##     662, 661, 645, 647, 625, 607, 592, 538, 510, 476, 410, 398, 
##     379, 322, 312, 268, 259, 234, 151, 19, -18, -32, -61, -97, 
##     -117, -165, -201, -236, -371, -386, -394, -354, -305, -266, 
##     -89, -9, 44, 112, 173, 233, 442, 485, 523, 538, 364, 336, 
##     325, 293, 275, 194, 178, 96, 49, 23, -5, -48, -64, -88, -201, 
##     -233, -264, -313, -423, -425, -403, -356, -336, 714, 712, 
##     708, 693, 664, 661, 641, 628, 593, 571, 558, 467, 454, 433, 
##     386, 362, 334, 282, 248, 202, 152, 124, 22, 4, -33, -62, 
##     -173, -358, -376, -387, -390, -387, -391, -383, -339, -227, 
##     -176, -98, 1, 73, 245, 358, 438, 472, 508, 521, 570, 586, 
##     605, 615, 630, 639, 647, 665, 666, 689, -267, -250, -191, 
##     -72, 48, 101, 121, 242, 282, 355, 514, 566, 627, 649, 675, 
##     679, 677, 702, 719, 567, 615, 638, 655, 679, 684, 686, 678, 
##     667, 667, 665, 652, 655, 645, 626, 615, 579, 560, 542, 521, 
##     510, 487, 448, 379, 633, 444, 418, 377, 246, 149, 26, -30, 
##     -87, -135, -212, -289, -371, -391, -414, -425, -429, -429, 
##     263, 300, 366, 438, 467, 525, 629, 713, 726, 735, 731, 725, 
##     714, 706, 671, 665, 598, 562, 550, 519, 479, 428, 421, 646, 
##     663, 672, 682, 712, 709, 718, 727, 730, 715, 702, 691, 666, 
##     650, 590, 552, 500, 466, 417, 405, 312, 268, 208, 187, 87, 
##     52, -342, -335, -329, -328, -248, -208, -137, 66, 111, 199, 
##     326, 750, 743, 734, 711, 699, 690, 670, 643, 616, 629, -219, 
##     -369, -392, -411, -415, -403, -398, -401, -386, -354, -346, 
##     -347, -329, -327, -334, -332, -342, -347, -351, -349, -362, 
##     -332, -313, -307, -302, -292, -280, -290, -289, -292, -298, 
##     -326, -345, -348, -342, -341, -335, -334, -329, -330, 576, 
##     507, 435, 284, 237, 137, 111, 56, 24, -98, -121, -277, -306, 
##     -350, -390, -399, -410, -419, 697, 713, 728, 727, 727, 719, 
##     713, 703, 693, 647, 638, 563, 386, 343, 263, 237, 190, 134, 
##     107, 25, -58, -114, -206, -220, -281, -294, 636, 613, 546, 
##     488, 409, 337, 304, 203, 98, 25, -44, -78, -178, -232, -274, 
##     -329, -348, -391, -393, -395, -394, -394, -394, -390, -379, 
##     -379, -379, -371, -373, -381, -405, -409, -408, -408, -364, 
##     -226, -117, 17, 182, 370, 498, 556, 595, 658, 682, 696, 709, 
##     712, 707, 709, 402, 422, 463, 566, 609, 645, 673, 688, 698, 
##     686, 686, 675, 597, 570, 551, 509, 434, 413, 372, 325, 296, 
##     230, 53, -4, -28, -124, -196, -221, -290, -316, -334, 224, 
##     296, 364, 402, 464, 515, 535, 587, 600, 639, 644, 644, 643, 
##     630, 617, 597, 575, 556, 520, 497, 478, 460, 275, 470, 483, 
##     534, 570, 620, 623, 627, 628, 628, 628, 619, 589, 584, 560, 
##     477, 454, 426, 265, 202, 67, -129, -184, -380, -396, -419, 
##     -427, -433, -435, -440, -426, -424, -412, -379, -349, -301, 
##     -259, -121, -33, 136, 202, 231, 359, -311, -321, -58, 81, 
##     130, 160, 264, 341, 368, 405, 455, 471, 532, 570, 587, 620, 
##     645, 693, 722, 741, 749, 745, 744, 744, 747, 745, 741, 732, 
##     715, 700, 583, 694, 763, 746, 666, 631, 586, 571, 479, 456, 
##     407, 360, 296, 281, 220, 220, 233, 299, 355, 465, 560, 619, 
##     198, 227, 242, 410, 432, 486, 524, 580, 607, 622, 697, 743, 
##     761, 770, 765, 772, 776, 771, 758, 718, 713, 686, 691, 714, 
##     730, 737, 754, 761, 772, 772, 768, 762, 731, 695, 674, 494, 
##     418, 365, 345, 299, 212, 170, 133, 124, 96, 86, 97, 190, 
##     246, 407, 481, 521, 649, 673, 704, 715, 740, 755, 772, 772, 
##     767, 756, 750, 742, 679, 670, 691, 713, 713, 732, 744, 745, 
##     772, 773, 778, 762, 758, 746, 735, 678, 662, 678, 716, 736, 
##     744, 779, 755, 736, 712, 697, 684, 640, 546, 505, 397, 362, 
##     306, 297, 289, 275, 283, 295, 302, 322, 411, 455, 500, 527, 
##     587, 623, 660, 698, 712, 735, 761, 772, 771, 771, 777, 758, 
##     743, 696, 649, 644, 667, 671, 694, 710, 734, 749, 767, 777, 
##     777, 774, 739, 713, 676, 643, 634, 566, 522, 456, 393, 349, 
##     296, 256, 707, 697, 695, 666, 648, 616, 595, 520, 504, 460, 
##     448, 415, 373, 354, 288, 138, 11, -13, -47, -166, -277, -427, 
##     -436, -443, -438, -432, -432, -421, -393, -370, -349, -338, 
##     -314, -229, -125, -59, -6, 19, 152, 235, 277, 310, 356, 407, 
##     424, 476, 555, 584, 587, 595, 586, 585, 570, 570, 560, 569, 
##     581, 601, 499, 437, 438, 421, 411, 418, 412, 419, 414, 411, 
##     430, 433, 428, 438, 443, 462, 481, 507, 561, 580, 594, 614, 
##     627, 642, 667, 750, 735, 714, 739, 755, 742, 716, 710, 694, 
##     646, 571, 546, 507, 487, 430, 404, 374, 361, 317, 285, 274, 
##     274, 291, 296, 294, 311, 327, 337, 360, 439, 484, 583, 638, 
##     673, 711, 727, 740, 736, 731, 703, 698, 693, 694, 699, 709, 
##     722, 732, 745, 745, 742, 356, 388, 404, 485, 504, 528, 553, 
##     605, 695, 730, 743, 751, 751, 741, 728, 684, 680, 671, 679, 
##     691, 711, 718, 732, 742, 741, 743, 751, 728, 715, 705, 670, 
##     664, 638, 576, 570, 504, 485, 414, 290, 240, 206, 186, 182, 
##     190, 183, 201, 237, 248, 298, 442, 494, 532, 594, 632, 671, 
##     756, 750, 747, 740, 724, 713, 708, 709, 709, 714, 710, 721, 
##     728, 739, 751, 731, 696, 685, 632, 640, 659, 672, 689, 709, 
##     714, 736, 742, 740, 753, 747, 742, 734, 718, 694, 664, 647, 
##     633, 609, 597, 521, 490, 475, 358, 341, 332, 317, 315, 289, 
##     297, 294, 305, 304, 312, 312, 318, 329, 346, 364, 387, 400, 
##     427, 497, 526, 545, 570, 593, 620, 650, 692, 736, 757, 757, 
##     748, 746, 735, 699, 691, 682, 388, 390, 391, 393, 405, 404, 
##     427, 442, 501, 518, 537, 648, 691, 690, 736, 747, 746, 715, 
##     699, 677, 673, 676, 687, 689, 703, 748, 746, 739, 725, 674, 
##     632, 592, 571, 508, 467, 459, 416, 391, 380, 329, 317, 292, 
##     287, 281, 269, 266, 270, 277, 279, 286, 297, 335, 347, 365, 
##     438, 519, 583, 646, 690, 701, 718, 723, 746, 746, 746, 747, 
##     737, 700, 711, 715, 734, 742, 748, 754, 740, 723, 717, 696, 
##     683, 633, 619, 495, 356, 264, 257, 288, 298, 315, 344, 422, 
##     470, 524, 550, 700, 727, 755, 747, 747, 736, 723, 712, 698, 
##     681, 678, 682, 690, 701, 740, 743, 752, 748, 695, 678, 636, 
##     606, 474, 668, 659, 660, 643, 629, 573, 558, 495, 482, 435, 
##     393, 328, 273, 200, 163, 76, 485, 557, 573, 623, 652, 663, 
##     671, 671, 674, 685, 682, 690, 683, 695, 693, 695, 633, 613, 
##     600, 582, 565, 497, 488, 460, 341, 199, -47, -71, -149, -156, 
##     -188, -210, -239, -235, -232, -222, -179, -59, 40, 129, 280, 
##     411, 513, 538, 553, 568, 568, 586, 591, 582, 590, 588, 594, 
##     599, 607, 601, 613, 639, 656, 678, 688, 714, 712, 722, 730, 
##     727, 732, 730, 712, 708, 686, 673, 680, 676, 678, 688, 702, 
##     696, 708, 724, 737, 732, 732, 732, 698, 676, 598, 569, 535, 
##     494, 461, 639, 586, 551, 536, 505, 472, 429, 406, 372, 347, 
##     341, 318, 284, 249, 240, 300, 352, 363, 402, 425, 438, 483, 
##     511, 540, 582, 589, 651, 709, 713, 731, 730, 726, 738, 733, 
##     730, 730, 711, 705, 667, 662, 656, 672, 679, 680, 706, 712, 
##     724, 728, 730, 732, 728, 659, 651, 566, 546, 533, 505, 476, 
##     424, 368, 359, 352, 340, 335, 336, 341, 349, 345, 378, 408, 
##     434, 445, 478, 551, 570, 586, 634, 660, 693, 716, 729, 730, 
##     730, 730, 725, 724, 725, 709, 712, 694, 694, 686, 681, 675, 
##     656, 653, 655, 662, 698, 712, 720, 733, 735, 735, 730, 734, 
##     728, 636, 605, 536, 485, 456, 419, 380, 372, 294, 263, 262, 
##     254, 254, 268, 310, 312, 355, 362, 394, 448, 515, 561, 601, 
##     631, 672, 681, 703, 738, 736, 723, 722, 651, 627, 527, 519, 
##     491, 483, 397, 345, 281, 272, 271, 288, 295, 297, 317, 317, 
##     330, 385, 423, 441, 478, 631, 648, 735, 728, 733, 732, 732, 
##     732, 714, 705, 698, 685, 677, 671, 667, 667, 670, 666, 673, 
##     677, 681, 703, 731, 734, 734, 728, 717, 661, 639, 612, 593, 
##     580, 567, 499, 473, 436, 210, 325, 401, 433, 498, 680, 691, 
##     714, 726, 728, 731, 731, 722, 719, 729, 735, 729, 719, 647, 
##     569, 447, 360, 300, 136, 43, 0, -58, -122, -153, -211, -236, 
##     -334, -361, -391, -424, -426, -431, -432, -419, -408, -396, 
##     -375, -347, -297, -245, -158, -83, -48, 150, 231, 503, 534, 
##     633, 676, 699, 725, 729, 730, 740, 734, 739, 734, 729, 729, 
##     739, 741, 732, 676, 599, 554, 541, 324, 231, 166, 109, 76, 
##     15, -81, -114, -247, -279, -351, -381, -397, -416, -436, 
##     -456, -456, -446, -440, -435, -431, -418, -389, -360, -351, 
##     -310, -288, -232, -57, -20, 62, 275, 490, 555, -85, -136, 
##     -192, -244, -294, -375, -373, -387, -386, -401, -399, -398, 
##     -394, -395, -381, -377, -369, -357, -348, -278, -263, -213, 
##     -152, -4, 51, 76, 235, 288, 322, 424, 453, 500, 536, 640, 
##     714, 711, 689, 656, 643, 600, 565, 543, 506, 482, 458, 461, 
##     547, 671, 698, 717, 727, 713, 699, 610, 583, 521, 486, 417, 
##     201, 152, 7, -216, -460, -541, -548, -564, -555, -565, -563, 
##     -560, -558, -538, -535, -511, -494, -481, -449, -417, -230, 
##     -180, 187, 375, 457, 535, 630, 657, 696, 718, 672, 626, 534, 
##     502, 454, 421, 421, 406, 401, 400, 421, 507, 663, 697, 707, 
##     732, 715, 688, 616, 569, 318, 280, -37, -123, -165, -514, 
##     -550, -574, -566, -578, -584, -576, -572, -567, -564, -554, 
##     -553, -539, -264, -20, 30, 185, 376, 422, 501, 654, 675, 
##     706, 736, 709, 650, 629, 540, 518, 464, 418, 344, 389, 564, 
##     576, 646, 714, 721, 736, 736, 689, 667, 628, 596, 536, 503, 
##     313, 243, 197, 117, 10, -69, -190, -319, -414, -535, -578, 
##     -579, -570, -569, -568, -569, -532, -314, -217, 84, 183, 
##     236, 340, 555, 647, 714, 739, 707, 518, 489, 443, 412, 315, 
##     270, 254, 278, 399, 451, 531, 645, 701, 730, 735, 725, 688, 
##     272, 234, 6, -88, -249, -303, -508, -547, -542, -548, -559, 
##     -560, -569, -576, -580, -580, -565, -544, -536, -496, -129, 
##     -21, 148, 196, 307, 349, 575, 637, 665, 734, 705, 673, 587, 
##     487, 466, 413, 362, 299, 269, 305, 328, 373, 395, 446, 643, 
##     683, 718, 735, 713, 702, 667, 647, 603, 550, 415, 222, 152, 
##     30, -200, -271, -405, -460, -499, -537, -534, -535, -559, 
##     -551, -560, -558, -557, -548, -529, -523, -479, -318, -248, 
##     -165, -125, 137, 226, 306, 475, 551, 640, 677, 702, 730, 
##     728, 713, 690, 648, 378, 348, 342, 343, 356, 374, 414, 449, 
##     549, 591, 634, 682, 704, 730, 712, 678, 631, 609, 521, 460, 
##     154, 30, -176, -219, -319, -512, -544, -547, -557, -561, 
##     -557, -560, -539, 412, 371, 375, 425, 457, 563, 654, 686, 
##     699, 699, 636, 556, 493, 417, 305, 61, -31, -72, -162, -216, 
##     153, 224, 407, 438, 526, 571, 733, 746, 772, 766, 702, 586, 
##     534, 379, 228, 99, 10, -17, -80, -132, -193, -272, -318, 
##     -390, -391, -395, -393, -371, -308, -265, -227, -200, -160, 
##     -31, -9, 48, 79, 135, 455, 525, 559, 631, 661, 688, 713, 
##     723, 736, 757, 755, 765, 760, 764, 771, 766, 752, 723, 679, 
##     587, 557, 527, 465, 422, 347, 200, 61, 25, -27, -51, -176, 
##     -216, -286, -320, -342, -356, -373, -377, -361, -328, -320, 
##     -287, -249, -225, -52, -31, 31, 59, 121, 183, 282, 371, 406, 
##     513, 544, 603, 685, 745, 753, 755, 762, 761, 756, 758, 762, 
##     751, 741, 713, 642, 611, 402, 347, 313, 208, 182, 134, 115, 
##     58, 35, -9, -180, -274, -298, -301, -302, -243, -143, -118, 
##     -64, 22, 114, 278, 304, 507, 530, 582, 677, 709, 726, 751, 
##     763, 763, 762, 723, 697, 668, 655, 587, 559, 448, 417, 360, 
##     130, 47, -56, -202, -257, -360, -390, -389, -370, -368, -342, 
##     -282, -148, -86, -39, 223, 252, 336, 375, 499, 641, 684, 
##     716, 744, 757, 765, 770, 773, 766, 768, 739, 707, 587, 499, 
##     439, 388, 131, 41, -76, -334, -356, -360, -356, -345, -343, 
##     -347, -329, -328, -312, -324, -318, -316, -320, -320, -320, 
##     -326, -322, -322, -316, -319, -311, -315, -312, -311, -293, 
##     -282, -276, -280, -260, -243, -216, -212, -155, -107, -1, 
##     91, 172, 244, 328, 519, 564, 731, 718, 698, 683, 662, 644, 
##     624, 576, 542, 524, 498, 480, 453, 432, 389, 389, 400, 459, 
##     478, 546, 599, 652, 712, 735, 762, 767, 761, 751, 693, 690, 
##     686, 712, 718, 731, 744, 756, 769, 768, 772, 729, 714, 699, 
##     584, 496, 438, 263, 246, 196, 174, 167, 140, 140, 149, 164, 
##     181, 748, 742, 716, 615, 566, 555, 589, 636, 674, 740, 754, 
##     750, 734, 728, 692, 675, 549, 450, 142, -8, -333, -347, -372, 
##     -396, -393, -384, -379, -273, -275, -263, -259, -271, -273, 
##     -277, -281, -291, -292, -289, -285, -288, -287, -283, -281, 
##     -286, -280, -289, -293, -286, -283, -289, -288, -288, -287, 
##     -297, -291, -295, -287, -281, -288, -297, -290, -289, -295, 
##     -291, -294, -293, -290, -293, -292, -295, -297, -295, -298, 
##     -299, -302, -307, -300, -303, -298, -311, -308, -308, -310, 
##     -314, -313, -314, -299, -290, -262, -239, -213, -213, -164, 
##     -137, -122, -40, 98, 179, 539, 534, 530, 536, 532, 533, 531, 
##     523, 522, 524, 511, 511, 495, 456, 452, 432, 441, 442, 452, 
##     468, 469, 472, 477, 472, 478, 476, 473, 509, 527, 572, 587, 
##     689, 720, 741, 744, 734, 725, 710, 708, 711, 722, 721, 734, 
##     747, 751, 739, 737, 723, 719, 688, 671, 659, 614, 526, 486, 
##     474, 408, 411, 406, 410, 408, 427, 430, 454, 481, 499, 530, 
##     592, 683, 705, 718, 732, 751, 739, 743, 732, 710, 709, 714, 
##     743, 749, 734, 723, 705, 696, 679, 660, 628, 615, 582, 568, 
##     461, 424, 408, 397, 389, 396, 403, 454, 476, 487, 537, 588, 
##     638, 670, 685, 713, 732, 737, 749, 741, 732, 702, 694, 693, 
##     712, 720, 742, 748, 748, 740, 739, 624, 600, 511, 429, 383, 
##     379, 351, 326, 315, 340, 347, 388, 415, 439, 575, 619, 670, 
##     750, 758, 740, 737, 727, 715, 710, 708, 714, 713, 731, 751, 
##     749, 749, 720, 713, 674, 613, 610, 492, 467, 442, 425, 416, 
##     409, 397, 400, 400, 402, 404, 409, 418, 497, 543, 579, 619, 
##     664, 698, 747, 410, 411, 428, 426, 435, 459, 482, 487, 513, 
##     526, 572, 613, 618, 653, 662, 704, 721, 739, 742, 743, 728, 
##     711, 689, 694, 725, 744, 751, 754, 744, 745, 726, 723, 629, 
##     564, 477, 429, 414, 402, 375, 373, 389, 453, 503, 614, 651, 
##     750, 746, 745, 722, 705, 664, 661, 666, 680, 689, 703, 738, 
##     743, 753, 751, 744, 738, 730, 683, 637, 582, 520, 428, 312, 
##     283, 286, 299, 305, 329, 342, 366, 419, 474, 496, 595, 623, 
##     668, 728, 755, 753, 742, 739, 724, 728, 719, 742, 747, 757, 
##     750, 738, 734, 721, 686, 652, 586, 578, 551, 533, 513, 482, 
##     453, 429, 429, 436, 445, 455, 488, 511, 538, 567, 592, 632, 
##     653, 692, 712, 730, 735, 729, 719, 715, 705, 697, 704, 692, 
##     694, 727, 730, 750, 748, 732, 719, 695, 700, 701, 719, 725, 
##     753, 719, 703, 633, 456, 440, 439, 438, 443, 457, 459, 469, 
##     -250, -261, -277, -282, -287, -292, -295, -300, -294, -296, 
##     -294, -288, -280, -259, -248, -229, -198, -160, -130, 68, 
##     -163, -198, -254, -317, -326, -339, -377, -379, -378, -378, 
##     -387, -386, -387, -389, -394, -382, -364, -334, -293, -251, 
##     -191, 727, 731, 733, 734, 730, 733, 732, 737, 735, 735, 738, 
##     730, 721, 716, 716, 701, 679, 639, 619, 602, 506, 422, 409, 
##     363, 236, 175, 72, -18, -41, -118, -155, -197, -228, -255, 
##     -265, -332, -343, -348, -355, -367, -373, -378, -386, -384, 
##     124, 137, 206, 252, 263, 304, 339, 387, 467, 522, 530, 541, 
##     536, 533, 535, 533, 526, 527, 524, 522, 359, 411, 425, 456, 
##     566, 579, 617, 638, 663, 672, 706, 722, 747, 757, 761, 764, 
##     759, 727, 715, 718, 708, 712, 735, 456, 463, 479, 477, 491, 
##     495, 508, 533, 545, 559, 596, 655, 692, 707, 735, 745, 759, 
##     761, 767, 766, 755, 755, 743, 743, 729, 735, 729, 723, 717, 
##     720, 718, 723, 728, 726, 736, 744, 756, 756, 724, 710, 700, 
##     675, 619, 554, 508, 439, 436, 411, 759, 763, 757, 754, 751, 
##     750, 750, 750, 752, 752, 760, 757, 759, 763, 762, 755, 741, 
##     730, 724, 699, 679, 631, 608, 579, 546, 367, 335, 332, 314, 
##     308, 293, 281, 272, 261, 261, 262, 271, 285, 296, 299, 313, 
##     371, 506, 552, 579, 597, 631, 639, 675, 694, 708, 729, 753, 
##     758, 761, 767, 760, 763, 759, 763, 747, 753, 756, 757, 759, 
##     761, 765, 763, 761, 760, 767, 762, 761, 757, 718, 697, 599, 
##     583, 442, 414, 359, 307, 250, 246, 241, 218, 209, 208, 204, 
##     199, 203, 208, 212, 232, 256, 284, 330, 422, 436, 486, 579, 
##     614, 736, 737, 757, 764, 763, 759, 762, 762, 761, 756, 757, 
##     754, 760, 766, 770, 763, 759, 755, 754, 750, 717, 659, 603, 
##     481, 435, 396, 374, 362, 355, 348, 348, 345, 349, 341, 347, 
##     349, 355, 393, 407, 419, 436, 474, 502, 522, 552, 568, 614, 
##     705, 703, 609, 592, 554, 522, 513, 401, 394, 375, 362, 340, 
##     337, 336, 330, 310, 672, 725, 742, 768, 765, 747, 746, 738, 
##     734, 732, 726, 719, 724, 723, 726, 727, 733, 739, 751, 761, 
##     760, 767, 769, 762, 759, 753, 353, 342, 331, 311, 298, 298, 
##     292, 297, 314, 320, 359, 385, 446, 486, 532, 609, 664, 706, 
##     717, 740, 736, 749, 762, 770, 763, 751, 728, 718, 659, 647, 
##     594, 573, 563, 547, 531, 530, 513, 488, 490, 472, 468, 461, 
##     466, 518, 521, 515, 514, 508, 512, 510, 507, 504, 506, 503, 
##     499, 493, 482, 473, 459, 440, 435, 417, 411, 398, 391, 376, 
##     373, 362, 339, 345, 339, -390, -364, -364, -352, -348, -337, 
##     -355, -346, -330, -312, -296, -264, -253, -214, -121, -33, 
##     14, 34, -29, 117, 145, 358, 553, 596, 613, 632, 653, 660, 
##     672, 689, 706, 722, 722, 730, 728, 694, 685, 685, 681, 676, 
##     661, 659, 648, 634, 598, 519, 501, 444, 363, 304, 149, 133, 
##     93, 77, 41, 22, -35, -58, -99, 125, 253, 311, 386, 473, 514, 
##     574, 578, 595, 601, 623, 651, 680, 696, 693, 695, 696, 695, 
##     710, 715, 719, 723, 722, 714, 701, 636, 609, 573, 543, 353, 
##     261, 206, 38, 7, -12, -67, -148, -175, -183, -204, -239, 
##     -284, -296, -343, -339, 690, 698, 702, 699, 699, 702, 705, 
##     698, 701, 698, 688, 690, 683, 680, 677, 661, 657, 645, 621, 
##     607, 571, 551, 517, 469, 427, 271, 256, 52, 35, 3, -65, -139, 
##     -228, -297, -308, -317, -334, -355, -344, -327, -316, -289, 
##     -275, -191, -154, -124, -91, -50, 97, 235, 278, 302, 362, 
##     432, 484, 492, 523, 533, 577, 629, 642, 655, 676, 701, 713, 
##     709, 714, 715, 717, 713, 704, 706, 695, 684, 676, 621, 601, 
##     538, 513, 474, 431, 416, 383, 354, 333, 307, 252, 184, 148, 
##     8, -41, -60, -80, -102, 387, 401, 436, 472, 490, 516, 584, 
##     592, 625, 643, 660, 676, 678, 680, 691, 689, 686, 691, 687, 
##     688, 684, 664, 660, 650, 644, 629, 627, 599, 571, 532, 500, 
##     499, 471, -318, -279, -168, -126, -56, -15, 63, 135, 194, 
##     213, 263, 287, 397, 448, 481, 496, 539, 564, 605, 617, 635, 
##     641, 641, 658, 663, 665, 675, 668, 679, 670, 718, 725, 734, 
##     734, 741, 725, 719, 696, 692, 676, 664, 664, 676, 682, 713, 
##     714, 719, 730, 712, 722, 726, 726, 724, 743, 736, 730, 727, 
##     719, 717, 700, 704, 694, 687, 693, 696, 701, 709, 724, 726, 
##     724, 734, 735, 734, 734, 735, 728, 717, 717, 678, 670, 441, 
##     416, 390, 368, 354, 358, 359, 360, 380, 391, 440, 560, 592, 
##     619, 704, 23, -57, -72, -127, -201, -236, -328, -351, -387, 
##     -396, -393, -378, -363, -342, -301, -272, -243, -230, -191, 
##     -77, -3, 17, 74, 144, 273, 294, 404, 438, 441, 379, 331, 
##     288, 274, 176, 135, 73, -43, -75, -101, -225, -291, -373, 
##     -381, -392, -380, -364, -353, -115, -218, -219, -239, -251, 
##     -278, -283, -278, -260, -224, -168, -121, -103, -19, 2, 62, 
##     96, 118, 262, 280, 324, 349, -348, -342, -349, -337, -320, 
##     -244, -227, -141, -69, -15, 38, 146, 210, 228, 312, 437, 
##     479, 494, 570, 597, 609, 617, 745, 742, 757, 745, 743, 728, 
##     715, 624, 595, 555, 491, 361, 360, 349, 358, 405, 422, 453, 
##     473, 530, 569, 586, 625, 724, 735, 752, 744, 712, 701, 711, 
##     727, 732, 751, 755, 748, 753, 736, 723, 711, 674, 619, 582, 
##     562, 428, 410, 405, 475, 471, 473, 471, 474, 474, 475, 466, 
##     476, 471, 463, 472, 473, 465, 464, 460, 464, 468, 467, 276, 
##     390, 438, 448, 490, 534, 536, 540, 558, 563, 563, 566, 565, 
##     543, 547, 542, 545, 545, 547, 536, 542, 542, 541, 539, 541, 
##     540, 537, 534, -239, 0, 105, 149, 695, 730, 728, 715, 518, 
##     461, 431, 415, 407, 411, 547, 591, 648, 716, 738, 738, 734, 
##     730, 422, 263, 153, 37, -43, -89, -301, -347, -434, -502, 
##     -556, -552, -549, -543, -536, -541, -538, -534, -505, -490, 
##     -476, -399, -360, 332, 428, 506, 601, 621, 654, 665, 697, 
##     717, 739, 741, 735, 738, 739, 739, 735, 738, 730, 733, 698, 
##     685, 664, 596, 559, 481, 417, 365, 238, 208, 155, 107, -64, 
##     -38, -94, -311, -356, -389, -401, -412, -418, -430, -438, 
##     -454, -442, -443, -439, -420, -418, -395, -342, -215, -147, 
##     -116, 57, 126, 239, 270, 658, 688, 708, 725, 730, 735, 738, 
##     735, 740, 734, 733, 735, 714, 700, 689, 684, 619, 580, 472, 
##     430, 364, 254, 211, 148, 128, 72, 671, 668, 674, 671, 685, 
##     703, 719, 731, 746, 748, 743, 741, 719, 653, 639, 612, 545, 
##     509, 489, 472, 458, 430, 417, 400, 394, 398, 640, 617, 541, 
##     400, 350, 274, 273, 268, 292, 293, 307, 333, 358, 426, 487, 
##     565, 585, 649, 661, 689, 701, 720, 755, 728, 665, 604, 599, 
##     563, 530, 449, 410, 389, 364, 352, 354, 356, 357, 606, 626, 
##     642, 669, 687, 702, 742, 756, 752, 750, 743, 715, 715, 716, 
##     717, 735, 739, 746, 751, 741, 723, 713, 702, 531, 774, 769, 
##     778, 763, 751, 748, 714, 704, 686, 649, 603, 593, 551, 526, 
##     490, 424, 380, 362, 290, 233, 251, 352, 393, 410, 447, 566, 
##     604, 671, 740, 756, 586, 634, 688, 702, 724, 729, 743, 754, 
##     762, 743, 723, 702, 695, 675, 677, 726, 768, 767, 768, 767, 
##     764, 759, 749, 742, 613, 646, 670, 721, 740, 735, 612, 553, 
##     515, 447, 431, 294, 49, -26, -82, -281, -307, -329, -340, 
##     -344, -359, -375, -381, -390, -401, -415, -435, -441, -459, 
##     -467, -496, -505, -509, -509, -503, -505, -492, -493, -487, 
##     -495, -500, 161, 121, 24, 408, 457, 491, 531, 580, 699, 723, 
##     601, 579, 519, 421, 347, 310, 233, 196, 119, 7, -59, -96, 
##     -224, -271, -328, -346, -457, -468, -482, -472, -430, -379, 
##     -344, -65, 75, 223, 303, 336, 476, 575, 600, 692, 744, 763, 
##     746, 665, 632, 577, 542, 514, 460, 424, 393, 358, 377, 465, 
##     516, 562, 598, 602, 653, 678, 712, 736, 729, 702, 682, 607, 
##     539, 476, 425, 236, 175, 72, -23, -56, -218, -287, -328, 
##     -365, -371, -398, -390, -388, -377, -347, -306, -275, -224, 
##     -173, -100, -53, 154, 185, 375, 449, 481, 549, 710, 762, 
##     717, 699, 616, 536, 489, 364, 295, 232, 208, 184, 173, 188, 
##     215, 221, 324, 397, 452, 500, 585, 648, 714, 724, 728, 726, 
##     717, 709, 680, 595, 571, 378, 347, 166, 107, 20, -50, -219, 
##     -263, -296, -357, -373, -395, -406, 729, 687, 574, 496, 375, 
##     325, 269, 235, 220, 176, 171, 162, 166, 233, 269, 288, 347, 
##     404, 452, 478, 528, 596, 761, 772, 767, 768, 747, 744, 713, 
##     663, 644, 647, 661, 674, 688, 699, 725, 737, 742, 755, 759, 
##     768, 736, 711, 679, 594, 577, 538, 496, 426, 358, 316, 236, 
##     204, 168, 155, 249, 294, 310, 375, 419, 468, 486, 532, 602, 
##     660, 696, 711, 755, 770, 775, 768, 754, 745, 686, 682, 668, 
##     665, 676, 720, 727, 738, 743, 755, 770, 774, 764, 753, 749, 
##     733, 711, 687, 670, 651, 638, 526, 510, 471, 409, 368, 357, 
##     298, 246, 224, 240, 273, 330, 414, 560, 659, 681, 710, 731, 
##     754, 759, 762, 768, 769, 766, 752, 744, 745, 708, 708, 685, 
##     672, 668, 665, 670, 695, 708, 721, 739, 747, 771, 773, 758, 
##     723, 709, 696, 638, 579, 566, 516, 467, 441, 188, 124, 72, 
##     69, 89, 110, 121, 174, 223, 235, 284, 361, 493, 567, 760, 
##     772, 774, 782, 778, 773, 763, 762, 744, 716, 694, 669, 664, 
##     643, 633, 649, 661, 676, 700, 728, 752, 762, -242, -243, 
##     -244, -248, -246, -249, -247, -245, -249, -240, -247, -238, 
##     -233, -228, -224, -224, -209, -205, -185, -179, -162, -143, 
##     -75, -37, 28, 48, 90, 134, 579, 765, 760, 739, 690, 567, 
##     484, 424, 359, 263, 159, 85, 18, -56, -89, -102, -84, -74, 
##     -39, -26, -11, 15, 36, 55, 84, 293, 436, 521, 654, 699, 766, 
##     717, 691, 669, 620, 521, 454, 420, 219, 142, 103, -133, -260, 
##     -295, -294, -289, -256, -227, -169, -97, -5, 105, 266, 430, 
##     616, 674, 696, 729, 754, 755, 758, 707, 669, 634, 593, 502, 
##     434, 410, 342, 276, 247, 188, 163, 27, -10, 1, 17, 33, 64, 
##     78, 119, 137, 182, 206, 352, 407, 573, 603, 659, 681, 732, 
##     759, 764, 774, 752, 662, 609, 578, 442, 334, 85, -79, -125, 
##     -118, -91, -39, -1, 63, 136, 188, 245, 279, 503, 732, 766, 
##     750, 705, 630, 250, 89, 58, -10, -149, -176, -190, -171, 
##     -96, -53, 25, 50, 225, 351, 637, 753, 772, 761, 648, 566, 
##     319, 208, 137, -91, -60, -39, -2, 75, 132, 270, 300, 369, 
##     460, 617, 706, 731, 760, 773, 773, 772, 710, 653, 622, 57, 
##     -47, -87, -127, -139, -160, -146, -119, -44, 5, 33, 286, 
##     412, 492, 527, 610, 671, 696, 737, 777, 755, 749, 711, 652, 
##     605, 565, 535, 484, 443, 384, 330, 301, 281, 330, 368, 468, 
##     536, 587, 620, 684, 714, 731, 753, 763, 768, 765, 705, 651, 
##     558, 439, 325, 153, 99, 10, -73, -99, -104, -115, -117, -86, 
##     -56, -17, 1, 141, 166, 242, 309, 352, 424, 463, 592, 695, 
##     736, 761, 710, 608, 576, 512, 485, 451, 414, 351, 343, 342, 
##     382, 453, 486, 541, 615, 634, 686, 721, 739, 768, 760, 749, 
##     692, 671, 552, 403, 340, 269, -38, -104, -249, -316, -333, 
##     -357, -377, -390, -390, -364, -322, -283, -138, -17, 24, 
##     364, 683, 747, 769, 746, 708, 639, 620, 519, 476, 460, 424, 
##     394, 390, 378, 396, 414, 447, 478, 549, 590, 650, 760, 760, 
##     760, 756, 655, 603, 480, 207, 173, -39, 411, 400, 308, 264, 
##     266, 247, 211, 197, 140, 13, -19, -51, -100, -123, -170, 
##     -188, -245, -259, -315, -352, -368, -485, -480, -463, -420, 
##     -325, -196, 179, 498, 595, 741, 688, 612, 568, 470, 310, 
##     215, 165, 409, 713, 739, 761, 743, 723, 690, 641, 330, 34, 
##     -47, -128, -230, -262, -320, -372, -421, -455, -467, -468, 
##     -464, -440, -437, -415, -402, -319, -282, -221, 21, 64, 253, 
##     312, 607, 648, 731, 725, 633, 547, 389, 303, 266, 383, 495, 
##     566, 690, 734, 749, 740, 719, 681, 631, 605, 503, 441, 326, 
##     180, 31, -105, -122, -217, -346, -389, -447, -459, -470, 
##     -469, -462, -451, -442, -341, -309, -144, -76, 39, 167, 296, 
##     464, 495, 567, 593, 720, 754, 732, 714, 572, 359, 572, 597, 
##     725, 742, 747, 416, 364, 359, 295, 273, 256, 249, 258, 262, 
##     278, 301, 334, 367, 398, 446, 494, 508, 565, 603, 640, 655, 
##     672, 684, 698, 699, 718, 737, 731, 719, 718, 721, 706, 678, 
##     658, 652, 680, 690, 698, 719, 738, 731, 728, 728, 702, 695, 
##     663, 613, 606, 569, 565, 516, 463, 431, 410, 369, 350, 335, 
##     321, 301, 283, 292, 294, 308, 352, 364, 375, 405, 479, 525, 
##     641, 678, 699, 717, 725, 736, 731, 726, 730, 721, 722, 725, 
##     709, 703, 667, 656, 637, 643, 647, 651, 656, 670, 724, 736, 
##     735, 728, 728, 725, 722, 718, 706, 654, 651, 632, 599, 583, 
##     554, 529, 494, 438, 410, 386, 332, 327, 326, 340, 414, 456, 
##     474, 512, 590, 619, 662, 685, 692, 709, 707, 724, 731, 733, 
##     727, 734, 729, 723, 728, 711, 703, 693, 687, 686, 667, 660, 
##     645, 644, 646, 647, 655, 664, 695, 701, 713, 728, 740, 732, 
##     721, 689, 670, 660, 603, 584, 541, 537, 517, 511, 487, 473, 
##     454, 443, 428, 407, 354, 332, 326, 313, 309, 304, 310, 348, 
##     363, 384, 401, 495, 537, 557, 572, 630, 639, 665, 683, 709, 
##     726, 732, 737, 735, 733, 731, 723, 723, 726, 720, 710, 709, 
##     698, 697, 681, 675, 665, 644, 630, 611, 575, 584, 592, 616, 
##     627, 646, 643, 667, 676, 683, 689, 709, 709, 731, 735, 726, 
##     719, 713, 696, 679, 662, 621, 588, 494, 444, 432, 399, 345, 
##     289, 232, 195, 67, 33, -39, -76, -102, -142, -168, -184, 
##     -194, -248, -269, -306, -324, -329, -373, -384, -379, -389, 
##     -384, -383, -385, -374, -366, -361, -358, -358, -354, -363, 
##     -363, -377, -375, -391, -401, -409, -383, -347, -242, -202, 
##     -90, -49, 22, 57, 136, 207, 249, 361, 435, 462, 605, 689, 
##     703, 724, 730, 727, 719, 711, 707, 685, 645, 630, 598, 559, 
##     556, 559, 581, 679, 697, 704, 688, 678, 622, 598, 582, 547, 
##     488, 424, 406, 355, 284, 214, 157, 73, 1, -82, -198, -278, 
##     -299, -335, -382, -416, -443, -447, -435, -423, -412, -378, 
##     -339, -305, -289, -232, -181, -131, -17, 50, 118, 227, 267, 
##     417, 527, 584, 599, 631, 659, 694, 709, 723, 728, 734, 734, 
##     730, 726, 728, 722, 710, 708, 694, 680, 661, 654, 629, 631, 
##     627, 617, 615, 610, 633, 646, 671, 687, 693, 722, 705, 693, 
##     683, 664, 649, 636, 524, 516, 472, 417, 356, 312, 289, 234, 
##     186, 157, -16, -42, -158, -200, -253, -307, -331, -365, -340, 
##     -326, -309, -294, -156, -79, 2, 56, 304, 344, 400, 429, 604, 
##     615, 684, 688, 721, 727, 727, 719, 710, 699, 690, 636, 588, 
##     566, 548, 531, 532, 568, 593, 623, 677, 701, 719, 719, 722, 
##     727, 720, 723, 705, 664, 659, 638, 587, 551, 519, 490, 474, 
##     433, 406, 320, 400, 455, 484, 526, 555, 631, 650, 668, 699, 
##     710, 719, 727, 722, 713, 683, 668, 637, 606, 606, 598, 592, 
##     586, 597, 597, 617, 646, 656, 660, 679, 691, 701, 707, 712, 
##     725, 723, 730, 709, 704, 664, 643, 614, 581, 565, 511, 394, 
##     343, 158, -42, -88, -158, -191, -282, -311, -322, -329, -333, 
##     -323, -249, -56, -3, 50, 100, 122, 196, 250, 493, 577, 688, 
##     714, 720, 725, 733, 725, 711, 691, 658, 605, 572, 552, 530, 
##     538, 565, 604, 645, 654, 672, 683, 704, 720, 729, 684, 667, 
##     634, 591, 540, 500, 424, 316, 34, -15, -26, -137, -157, -196, 
##     -230, -250, -261, -293, -283, -277, -268, -252, -228, -223, 
##     -155, -134, -74, 55, 109, 301, 363, 390, 509, 582, 602, 637, 
##     709, 725, 721, 710, 702, 687, 655, 638, 570, 568, 558, 570, 
##     582, 589, 593, 615, 626, 643, 651, 667, 676, 701, 730, 733, 
##     738, 727, 725, 722, 709, 688, 670, 633, 527, 482, 460, 291, 
##     209, 185, 53, -29, -201, -217, -264, -301, -294, -280, -249, 
##     -201, -113, -72, -1, 30, 76, 117, 211, 296, 487, 563, 601, 
##     625, 719, 724, 728, 734, 714, 711, 695, 689, 629, 601, 587, 
##     523, 522, 536, 552, 589, 596, 671, 679, 724, 734, 730, 733, 
##     721, 715, 689, 622, 606, 569, 528, 504, 406, 241, 186, 144, 
##     94, -45, -187, -215, -230, -261, -283, -372, -378, -399, 
##     -402, -384, -312, -422, -471, -553, -575, -565, -565, -562, 
##     -565, -562, -569, -548, -546, -305, -264, -162, -78, 128, 
##     460, 502, 572, 658, 709, 732, 724, 720, 676, 595, 275, 277, 
##     292, 300, 337, 382, 448, 566, 594, 667, 731, 737, 719, 710, 
##     664, 626, 540, 490, 459, 385, 35, -52, -88, -259, -299, -428, 
##     -496, -556, -555, -554, -555, -542, -532, -210, 32, 80, 181, 
##     226, 368, 559, 710, 723, 739, 732, 711, 671, 444, 382, 365, 
##     253, 311, 342, 430, 455, 510, 640, 704, 727, 724, 700, -405, 
##     -396, -400, -393, -392, -392, -396, -393, -394, -392, -391, 
##     -394, -397, -394, -402, -404, -390, -394, -406, -396, -401, 
##     -398, -384, -375, -265, -224, -204, -152, -126, -57, 60, 
##     188, 271, 356, 494, 570, 600, 721, 711, 689, 653, 556, 528, 
##     473, 432, 403, 401, 439, 480, 532, 568, 618, 683, 709, 738, 
##     741, 731, 699, 676, 644, 541, 533, 553, 564, 580, 608, 639, 
##     648, 669, 701, 739, 732, 689, 675, 556, 429, 341, 381, 447, 
##     472, 642, 656, 678, 698, 716, 726, 736, 707, 698, 675, 635, 
##     602, 538, 504, 479, 463, 424, 417, 445, 497, 512, 639, 690, 
##     706, 718, 722, 722, 670, 646, 607, 554, 421, 392, 347, 308, 
##     296, 420, 479, 532, 582, 631, 724, 732, 720, 709, 633, 589, 
##     523, 508, 475, 450, 437, 460, 472, 508, 549, 576, 629, 644, 
##     670, 738, 729, 729, 626, 607, 448, 392, 328, 299, 331, 363, 
##     440, 571, 604, 657, 681, 719, 725, 738, 730, 716, 683, 624, 
##     551, 533, 482, 464, 437, 398, 401, 408, 426, 450, 457, 570, 
##     586, 617, 703, 722, 727, 740, 734, 712, 679, 411, 318, 382, 
##     576, 603, 671, 702, 730, 739, 735, 646, 622, 569, 490, 381, 
##     312, 298, 303, 387, 445, 487, 633, 645, 724, 736, 743, 741, 
##     666, 655, 627, 571, 534, 481, 456, 377, 281, 270, 251, 248, 
##     227, 264, 300, 438, 509, 592, 631, 656, 690, 703, 735, 740, 
##     722, 666, 597, 589, 532, 488, 463, 422, 354, 323, 327, 468, 
##     577, 600, 691, 741, 733, 685, 609, 594, 559, 500, 378, 379, 
##     360, 369, 374, 372, 404, 451, 480, 531, 573, 591, 641, 673, 
##     684, 733, 735, 732, 717, 699, 603, 526, 474, 434, 349, 368, 
##     398, 436, 454, 543, 596, 636, 686, 713, 741, 733, 729, 732, 
##     676, 650, 632, 591, 555, 541, 488, 409, 388, 380, 389, 412, 
##     467, 508, 555, 616, 710, 736, 729, 627, 564, 521, 503, 367, 
##     371, 387, 468, 511, 528, 646, 718, 727, 732, 686, 523, 414, 
##     402, 349, 321, 305, 287, 298, 326, 362, 416, 455, 475, 476, 
##     473, 470, 470, 474, 473, 469, 474, 470, 473, 474, 485, 480, 
##     484, 478, 485, 480, 480, 483, 480, 479, 474, 475, 471, 476, 
##     468, 471, 471, 473, 473, 474, 472, 475, 470, 472, 474, 479, 
##     466, 465, 468, 462, 457, 464, 470, 469, 468, 471, 468, 471, 
##     467, 473, 476, 469, 468, 473, 469, 458, 471, 454, 453, 446, 
##     444, 442, 417, 390, 392, 381, 379, 371, 369, 361, 367, 378, 
##     392, 400, 408, 427, 441, 475, 495, 525, 530, 542, 543, 535, 
##     534, 519, 489, 479, 444, 432, 424, 413, 406, 408, 405, 405, 
##     406, 401, 403, 404, 407, 409, 415, 421, 422, 416, 424, 428, 
##     422, 426, 423, 425, 416, 415, 416, 426, 416, 417, 414, 412, 
##     410, 412, 413, 406, 411, 408, 401, 399, 398, 401, 393, 393, 
##     394, 391, 395, 390, 403, 402, 400, 399, 400, 399, 394, 407, 
##     399, 408, 407, 412, 410, 403, 405, 404, 404, 396, 404, 403, 
##     410, 405, 403, 408, 412, 416, 413, 414, 414, 423, 420, 410, 
##     418, 422, 417, 422, 419, 421, 423, 413, 415, 420, 411, 398, 
##     399, 392, 387, 356, 349, 296, 255, 176, 134, 93, 75, 36, 
##     -124, -294, -299, -344, -374, -390, -393, -396, -397, -399, 
##     -384, -346, -339, -320, -325, -321, -319, -327, -335, -339, 
##     -341, -348, -348, -366, -363, -338, -323, -299, -278, -221, 
##     -179, -62, 26, 121, 175, 427, 483, 566, 610, 672, 695, 745, 
##     756, 702, 662, 580, 492, 511, 535, 582, 650, 669, 700, 716, 
##     737, 748, 744, 605, 337, 236, 195, 42, -63, -104, -314, -384, 
##     -426, -437, -433, -428, -345, -313, -238, -112, -65, 41, 
##     268, 386, 616, 700, 752, 744, 715, 696, 638, 596, 541, 602, 
##     639, 708, 735, 755, 736, 623, 591, 515, 393, 137, 88, -52, 
##     -191, -267, -359, -455, -428, -324, -293, -220, -83, -40, 
##     69, 244, -417, -331, -232, -199, -71, 20, 68, 222, 392, 637, 
##     707, 746, 751, 697, 674, 632, 635, 663, 701, 759, 740, 683, 
##     630, 574, 431, 320, 101, 61, -232, -426, -431, -416, -411, 
##     -392, -371, -332, -306, -211, -305, -373, -395, -394, -267, 
##     94, 143, 392, 521, 554, 704, 727, 754, 735, 673, -76, -27, 
##     262, 612, 647, 692, 708, 735, 743, 745, 726, 695, 664, 640, 
##     637, 627, 647, 659, 691, 704, 729, 744, 748, 727, 696, 635, 
##     406, 183, 141, 45, -401, -365, -353, -93, 144, 193, 292, 
##     442, 676, 702, 746, 700, 687, 647, 286, 280, 272, 274, 273, 
##     283, 302, 305, 365, 419, 473, 491, 581, 688, 733, 759, 757, 
##     757, 748, 741, 747, 739, 736, 731, 739, 735, 740, 743, 758, 
##     753, 757, 763, 759, 758, 758, 751, 753, 737, 728, 723, 715, 
##     650, 632, 616, 603, 584, 529, 495, 471, 430, 407, 387, 373, 
##     359, 342, 330, 325, 314, 303, 288, 290, 281, 276, 278, 276, 
##     279, 265, 261, 302, 327, 335, 421, 481, 501, 547, 580, 679, 
##     693, 759, 758, 763, 764, 742, 735, 731, 727, 733, 738, 741, 
##     752, 756, 767, 757, 748, 727, 714, 694, 685, 672, 652, 625, 
##     579, 567, 553, 513, 468, 460, 448, 441, 417, 389, 371, 348, 
##     347, 346, 345, 346, 351, 362, 377, 379, 396, 401, 418, 439, 
##     503, 528, 547, 639, 757, 759, 747, 739, 721, 724, 710, 705, 
##     693, 696, 696, 698, 703, 718, 717, 731, 742, 745, 759, 742, 
##     700, 659, 584, 555, 480, 454, 425, 415, 352, 325, 314, 270, 
##     248, 249, 248, 245, 251, 250, 285, 314, 327, 342, 359, 396, 
##     422, 455, 471, 498, 572, 621, 668, 728, 745, 751, 762, 763, 
##     750, 708, 686, 655, 651, 640, 628, 632, 643, 652, 656, 658, 
##     668, 668, 675, 680, 678, 678, 681, 686, 691, 719, 722, 732, 
##     747, 758, 757, 758, 753, 694, 588, 541, 338, 310, 131, 121, 
##     96, 73, 41, -25, -35, -56, -118, -131, -143, -203, -221, 
##     -263, -287, -284, -306, -312, -318, -319, -322, -330, -326, 
##     -323, -323, -314, -313, -299, -294, -291, -282, -285, -270, 
##     -261, -252, -254, -248, -242, -244, -243, -249, -252, -251, 
##     -256, -258, -257, -263, -266, -266, -312, -362, -361, -375, 
##     -394, -405, -407, -419, -423, -436, -435, -432, -437, -424, 
##     -425, -415, -392, -364, -137, 32, 150, 388, 471, 500, 575, 
##     667, 712, 747, 748, 766, 654, 581, 446, 328, 281, 262, 217, 
##     183, 179, 151, 134, 114, 105, 104, 127, 166, 185, 220, 268, 
##     309, 368, 405, 583, 621, 676, 704, 740, 737, 741, -165, -113, 
##     -42, -4, 62, 282, 545, 593, 631, 692, 724, 735, 747, 730, 
##     694, 655, 639, 536, 484, 344, 279, 208, 196, 186, 210, 250, 
##     296, 329, 401, 547, 611, 656, 699, 730, 749, 746, 705, 672, 
##     635, 578, 553, 501, 336, 275, 244, 198, 141, 115, -11, -34, 
##     -132, -274, -359, -391, -458, -456, -427, -384, -370, -325, 
##     -205, -88, 59, 91, 216, 290, 484, 514, 574, 657, 691, 745, 
##     760, 758, 755, 742, 693, 651, 610, 556, 493, 464, 325, 310, 
##     297, 286, 292, 313, 321, 336, 361, 398, 442, 472, 504, 65, 
##     -23, -81, -167, -211, -305, -403, -420, -445, -442, -437, 
##     -356, -181, -141, 439, 623, 663, 759, 752, 741, 721, 692, 
##     553, 598, 659, 692, 715, 725, 753, 747, 750, 732, 733, 705, 
##     681, 558, 397, 250, 220, 162, 619, 603, 563, 511, 404, 336, 
##     268, 225, 133, 107, 53, -160, -232, -313, -372, -394, -403, 
##     -418, -418, -417, -416, -411, -416, -399, -375, -271, -196, 
##     -334, -329, -339, -337, -349, -339, -347, -342, -359, -360, 
##     -356, -350, -345, -340, -338, -330, -325, -329, -321, -320, 
##     -216, -36, 93, 225, 308, 349, 496, 597, 665, 742, 752, 698, 
##     663, 643, 606, 545, 532, 550, 586, 633, 679, 756, 714, 659, 
##     441, 325, 131, -68, -243, -266, -365, -376, -443, -431, 739, 
##     578, 537, 263, 168, 57, -54, -375, -444, -457, -467, -477, 
##     -482, -476, -473, -458, -435, -395, -376, -282, -181, -17, 
##     79, 174, 214, 433, 504, 542, 745, 755, 743, 736, 635, 473, 
##     491, 536, 566, 661, 680, 746, 755, 741, 700, 679, 599, 462, 
##     429, 216, 137, -21, -87, -162, -273, -363, -404, -473, -487, 
##     -509, -504, -477, -431, -424, -395, -379, -286, -261, -138, 
##     -10, 77, 174, 226, 306, 352, 552, 607, 638, 753, 754, 750, 
##     739, 717, 660, 630, 593, 533, 506, 549, 567, 603, 687, 738, 
##     750, 752, 721, 467, 361, 324, 241, 166, -75, -270, 752, 754, 
##     729, 705, 671, 579, 480, 402, 311, 259, 175, -43, -175, -252, 
##     -292, -361, -396, -491, -522, -543, -544, -532, 593, 608, 
##     651, 731, 753, 762, 752, 726, 650, 592, 466, 229, 121, 31, 
##     -6, -89, -276, -310, -378, -425, -476, -489, -518, -522, 
##     -543, -541, -543, -543, -542, -121, -21, 120, 360, 442, 554, 
##     585, 741, 746, 741, 651, 608, 559, 493, 444, 448, 486, -377, 
##     -389, -393, -399, -396, -392, -389, -388, -392, -394, -390, 
##     -390, -395, -397, -390, -379, -381, -381, -361, -342, -343, 
##     -311, -304, -296, -279, -278, -266, -263, -260, -250, -239, 
##     -243, -245, -257, -250, -259, -260, -276, -290, -307, 638, 
##     635, 683, 714, 723, 748, 751, 728, 666, 551, 488, 440, 311, 
##     225, 73, -59, -181, -308, -387, -397, -400, -397, -391, -382, 
##     -336, -284, -260, -165, 41, 86, 332, 576, 614, 676, 692, 
##     738, 748, 746, 620, 596, 600, 617, 726, 745, 756, 745, 684, 
##     621, 595, 498, 362, 320, 298, 230, 35, -127, -148, -242, 
##     -320, -345, -369, -361, -309, -294, -268, -252, -214, -46, 
##     126, 169, 223, 687, 698, 724, 742, 741, 744, 712, 666, 640, 
##     582, 494, 461, 389, 345, 216, 122, -173, -295, -394, -397, 
##     -403, -391, -346, -283, -148, 37, 143, 188, 294, 347, 433, 
##     482, 598, 752, 694, 653, 648, 651, 667, 676, 728, 750, 751, 
##     725, 710, 687, 589, 534, 502, 314, 268, 299, 413, 584, 756, 
##     743, 733, 676, 639, 614, 611, 627, 646, 671, 714, 723, 737, 
##     750, 743, 724, 673, 471, 216, 60, -170, -340, -363, 468, 
##     468, 473, 471, 481, 478, 491, 486, 486, 483, 480, 479, 479, 
##     481, 476, 479, 470, 471, 473, 473, 465, 466, 471, 471, 468, 
##     472, 469, 469, 464, 337, 518, 637, 687, 714, 742, 742, 732, 
##     718, 694, 613, 535, 496, 392, 341, 288, 272, 238, 231, 220, 
##     245, 250, 457, 529, 649, 698, 708, 694, 669, 496, 362, 345, 
##     249, 219, 160, 131, 98, 105, 120, 194, 213, 260, 296, 344, 
##     378, 435, 631, 574, 549, 424, 368, 342, 259, 199, 112, 39, 
##     3, -166, -240, -272, -328, -395, -416, -427, -434, -451, 
##     -453, -458, -461, -449, -409, -415, 554, 569, 610, 725, 753, 
##     407, 176, -250, -280, -335, -390, -403, -426, -434, -435, 
##     -431, -426, -418, -414, -408, -401, -389, -386, -373, -372, 
##     -370, -378, -368, -378, -371, -541, -509, -445, -416, -379, 
##     -325, -195, -116, 31, 130, 184, 389, 440, 720, 747, 751, 
##     736, 719, 683, 544, 511, 496, 501, -410, -428, -451, -479, 
##     -486, -471, -411, -374, -174, -84, -33, 162, 326, 633, 732, 
##     755, 685, 642, 568, 597, 648, 727, -404, -397, -362, -342, 
##     -293, -182, -107, -71, 151, 238, 376, 503, 578, 664, 715, 
##     751, 742, 698, 582, 551, 504, 448, 442, 455, 493, 598, 753, 
##     724, 645, 620, 570, 491, 404, 341, 243, 115, 21, -74, -143, 
##     -170, -241, -308, -356, -473, -482, -493, -490, -475, -467, 
##     -438, 580, 480, 203, 160, 26, -6, -3, 20, 74, 145, 333, 362, 
##     642, 778, 780, 768, 756, 678, 657, 571, 505, 333, 300, 222, 
##     579, 518, 495, 411, 355, 236, 208, 171, 155, 116, 93, 101, 
##     114, 163, 172, 214, 252, 353, 431, 564, 614, 749, 774, 775, 
##     771, 763, 662, 718, 480, 379, 271, -99, -126, -114, -44, 
##     -12, 10, 44, 100, 150, 193, 343, 374, 532, 614, 704, 770, 
##     774, 766, 775, 779, 768, 747, 725, 711, 681, 581, 511, 222, 
##     169, 138, 72, 28, -28, -72, -105, -121, -141, -186, -204, 
##     -227, -231, -234, -241, -243, -241, -245, -439, -428, -216, 
##     -187, 110, 328, 406, 547, 711, 725, 747, 755, 593, 558, 523, 
##     512, 429, 411, 376, 282, 268, 272, 288, 309, 339, 362), magnet_arm_y = c(337, 
##     337, 344, 344, 337, 342, 336, 338, 341, 334, 339, 343, 338, 
##     331, 342, 340, 337, 336, 340, 335, 337, 338, 333, 350, 340, 
##     346, 338, 340, 337, 349, 331, 338, 339, 337, 336, 340, 342, 
##     336, 334, 350, 339, 337, 339, 343, 333, 341, 332, 336, 337, 
##     335, 339, 348, 342, 348, 343, 338, 334, 335, 335, 343, 334, 
##     342, 341, 334, 339, 335, 331, 348, 339, 335, 350, 338, 340, 
##     335, 335, 341, 351, 336, 335, 330, 332, 340, 345, 338, 342, 
##     341, 339, 336, 344, 339, 330, 341, 330, 339, 333, 338, 334, 
##     340, 342, 338, 338, 337, 330, 329, 342, 339, 332, 335, 337, 
##     347, 340, 337, 333, 343, 338, 340, 331, 337, 338, 335, 346, 
##     335, 330, 335, 333, 337, 331, 337, 330, 337, 332, 333, 334, 
##     336, 322, 336, 330, 335, 336, 336, 330, 329, 337, 334, 335, 
##     335, 334, 335, 330, 335, 329, 333, 334, 332, 333, 328, 330, 
##     335, 330, 338, 332, 338, 336, 335, 339, 351, 355, 356, 353, 
##     356, 356, 359, 358, 353, 355, 358, 350, 349, 353, 355, 355, 
##     360, 355, 361, 356, 362, 363, 358, 357, 360, 353, 362, 355, 
##     359, 357, 357, 359, 361, 352, 358, 362, 361, 363, 360, 363, 
##     364, 360, 366, 319, 309, 317, 313, 316, 313, 321, 319, 317, 
##     319, 318, 318, 321, 323, 319, 323, 311, 323, 310, 312, 312, 
##     312, 319, 322, 330, 325, 319, 316, 324, 322, 313, 317, 318, 
##     319, 317, 319, 320, 310, 324, 319, 320, 321, 313, 319, 320, 
##     319, 329, 326, 318, 321, 319, 317, 322, 319, 323, 324, 321, 
##     323, 322, 318, 326, 320, 319, 328, 328, 326, 327, 331, 330, 
##     331, 329, 331, 337, 322, 320, 306, 310, 295, 288, 282, 270, 
##     263, 257, 246, 242, 224, 176, 170, 158, 106, 96, 65, 53, 
##     4, -17, -32, -57, -42, -45, -33, -4, 30, 46, 75, 130, 174, 
##     177, 208, 222, 248, 275, 292, 295, 309, 333, 344, 360, 368, 
##     361, 347, 356, 340, 331, 330, 325, 331, 322, 326, 325, 329, 
##     312, 317, 297, 300, 241, 228, 231, 198, 189, 179, 174, 152, 
##     150, 129, 55, 38, 33, -16, -8, -23, -33, -37, -22, 11, 20, 
##     49, 63, 66, 83, 110, 122, 139, 161, 170, 181, 190, 270, 309, 
##     314, 312, 341, 211, 205, 180, 162, 128, 100, 83, 63, 38, 
##     33, 16, -13, -19, -27, -18, -13, -4, 20, 34, 114, 147, 204, 
##     222, 226, 242, 253, 259, 290, 319, 367, 376, 377, 385, 389, 
##     377, 383, 378, 379, 373, 370, 373, 376, 368, 369, 370, 368, 
##     355, 354, 350, 356, 347, 350, 348, 344, 347, 351, 348, 359, 
##     358, 357, 358, 350, 349, 281, 284, 269, 258, 226, 216, 204, 
##     176, 161, 125, 125, 95, 84, 54, 33, 23, 14, 6, 1, -12, -8, 
##     -9, 16, 61, 128, 267, 275, 292, 298, 336, 360, 370, 383, 
##     391, 394, 391, 388, 389, 390, 372, 376, 360, 359, 356, 356, 
##     358, 365, 357, 353, 353, 351, 356, 346, 338, 332, 337, 337, 
##     328, 319, 311, 289, 273, 270, 259, 349, 354, 368, 362, 371, 
##     373, 365, 371, 378, 382, 385, 381, 376, 361, 360, 360, 352, 
##     351, 343, 349, 346, 357, 347, 358, 339, 327, 303, 294, 284, 
##     248, 230, 225, 159, 113, 46, 25, -1, 11, -2, 18, 39, 50, 
##     65, 73, 106, 134, 173, 198, 209, 224, 246, 251, 284, 308, 
##     311, 358, 358, 364, 356, 359, 357, 363, 363, 367, 366, 361, 
##     349, 352, 350, 353, 346, 337, 341, 340, 346, 330, 245, 232, 
##     206, 190, 192, 151, 123, 89, 66, 46, 25, 37, 49, 74, 104, 
##     136, 350, 339, 352, 348, 342, 335, 313, 306, 289, 272, 269, 
##     239, 225, 206, 171, 163, 142, 125, 116, 91, 89, 71, 61, 58, 
##     37, 35, 54, 52, 75, 374, 376, 374, 364, 368, 372, 360, 363, 
##     369, 361, 373, 369, 355, 326, 318, 287, 272, 236, 228, 144, 
##     135, 37, 76, 81, 111, 126, 147, 196, 211, 294, 290, 255, 
##     243, 227, 228, 188, 142, 131, 112, 97, 45, 16, 4, 1, 13, 
##     33, 42, 80, 105, 124, 174, 309, 333, 369, 406, 396, 411, 
##     401, 409, 416, 418, 413, 405, 396, 386, 390, 560, 550, 538, 
##     531, 519, 501, 458, 426, 371, 326, 290, 268, 251, 252, 243, 
##     233, 233, 217, 220, 211, 218, 211, 219, 236, 245, 247, 259, 
##     250, 248, 243, 240, 243, 233, 234, 230, 226, 221, 216, 204, 
##     213, 207, 205, 210, 208, 198, 198, 198, 200, 199, 201, 206, 
##     192, 191, 184, 184, 185, 186, 177, 182, 172, 168, 172, 168, 
##     175, 173, 179, 184, 186, 190, 192, 194, 197, 199, 199, 207, 
##     208, 215, 213, 210, 211, 228, 230, 241, 261, 274, 302, 294, 
##     300, 286, 273, 267, 263, 265, 271, 268, 277, 279, 281, 273, 
##     282, 276, 281, 286, 276, 279, 290, 291, 299, 297, 310, 303, 
##     302, 292, 299, 300, 307, 315, 304, 306, 310, 307, 305, 313, 
##     318, 319, 332, 318, 317, 314, 316, 314, 327, 323, 317, 324, 
##     317, 316, 321, 320, 323, 328, 321, 330, 327, 326, 329, 323, 
##     322, 330, 325, 330, 325, 327, 330, 338, 335, 322, 323, 324, 
##     326, 337, 338, 334, 342, 345, 339, 344, 337, 327, 334, 338, 
##     332, 332, 335, 336, 338, 335, 337, 335, 341, 345, 351, 350, 
##     344, 347, 359, 358, 355, 365, 357, 360, 370, 364, 368, 361, 
##     371, 361, 374, 362, 370, 364, 363, 358, 356, 355, 349, 347, 
##     340, 265, 270, 263, 268, 260, 261, 232, 204, 201, 178, 162, 
##     145, 123, 121, 118, 109, 117, 107, 88, 57, 44, 5, -6, -16, 
##     340, 327, 325, 320, 317, 307, 310, 314, 304, 307, 305, 311, 
##     310, 301, 304, 296, 296, 301, 296, 294, 290, 282, 298, 290, 
##     294, 287, 292, 286, 284, 290, 281, 275, 263, 252, 254, 252, 
##     250, 240, 232, 241, 243, 233, 225, 227, 574, 574, 577, 578, 
##     573, 569, 582, 580, 577, 583, 580, 578, 572, 574, 582, 568, 
##     575, 567, 231, 226, 236, 228, 230, 225, 225, 235, 222, 225, 
##     219, 226, 228, 230, 227, 226, 231, 224, 230, 227, 238, 238, 
##     227, 240, 229, 239, 235, 233, 242, 234, 242, 239, 247, 242, 
##     242, 252, 237, 241, 245, 249, 245, 242, 246, 244, 249, 242, 
##     238, 234, 246, 254, 247, 245, 244, 252, 255, 259, 261, 259, 
##     259, 259, 258, 258, 255, 275, 265, 256, 262, 265, 255, 263, 
##     253, 249, 237, 245, 242, 246, 224, 224, 235, 234, 227, 212, 
##     207, 202, 209, 207, 216, 218, 219, 222, 226, 216, 214, 213, 
##     210, 219, 214, 211, 202, 210, 222, 218, 205, 220, 205, 215, 
##     216, 216, 216, 212, 209, 216, 228, 236, 226, 226, 235, 234, 
##     232, 239, 236, 232, 236, 248, 241, 250, 252, 259, 262, 255, 
##     256, 260, 258, 261, 257, 263, 267, 263, 271, 275, 263, 260, 
##     267, 267, 262, 265, 269, 265, 263, 303, 353, 351, 359, 358, 
##     306, 275, 273, 273, 271, 280, 274, 269, 266, 271, 274, 273, 
##     287, 286, 280, 280, 280, 283, 279, 277, 289, 287, 287, 279, 
##     276, 280, 287, 284, 279, 280, 284, 298, 293, 294, 311, 313, 
##     302, 307, 311, 303, 302, 295, 287, 282, 274, 263, 273, 272, 
##     277, 268, 278, 275, 272, 272, 272, 276, 278, 268, 265, 267, 
##     271, -37, -44, -65, -76, -88, -91, -84, -92, -92, -98, -92, 
##     -92, -112, -106, -108, -109, -108, -112, -105, -108, -104, 
##     -111, -103, -102, -109, -108, -98, -101, -85, -33, -36, -15, 
##     -5, 3, 29, 49, 75, 81, 96, 104, 111, 120, 144, 162, 181, 
##     182, 195, 216, 215, 217, 229, 239, 252, 266, 262, 281, 290, 
##     280, 287, 276, 285, 289, 290, 280, 289, 285, 287, 290, 280, 
##     288, 276, 264, 257, 244, -87, -90, -84, -79, -74, -72, -67, 
##     -48, -45, -40, -16, -15, 2, 29, 33, 45, 55, 68, 90, 99, 107, 
##     119, 133, 138, 147, 210, 211, 241, 242, 240, 236, 240, 241, 
##     232, 246, 264, 286, 286, 289, 289, 293, 293, 307, 306, 305, 
##     303, 299, 301, 299, 302, 277, 244, 234, 178, 160, 147, 144, 
##     124, 102, 63, 19, 7, -3, -6, -31, -44, -50, -67, -66, -72, 
##     -72, -76, -82, -89, -80, -84, -87, -86, -84, -89, -81, -88, 
##     -91, -86, -88, -93, -91, -79, -70, -70, -59, -56, -44, -34, 
##     -30, 2, 23, 44, 82, 97, 112, 127, 145, 145, 169, 184, 205, 
##     254, 258, 261, 257, 264, 270, 259, 249, 247, 245, 270, 263, 
##     271, 275, 273, 275, 278, 281, 289, 294, 295, 294, 291, 299, 
##     300, 294, 290, 288, 274, 247, 251, 240, 232, 234, 173, 117, 
##     104, 69, 19, -6, -22, -33, -47, -49, -59, -63, -67, -64, 
##     -72, -70, -73, -67, -73, -73, -65, -74, -71, -68, -58, -59, 
##     -58, -46, -47, -36, -31, -12, 13, 37, 66, 74, 89, 88, 97, 
##     120, 141, 170, 262, 265, 272, 275, 271, 272, 278, 284, 297, 
##     320, 330, 323, 321, 311, 318, 318, 327, 349, 352, 348, 349, 
##     354, 343, 347, 343, 328, 318, 277, 262, 250, 221, 199, 150, 
##     130, 118, 118, 80, 19, 99, 200, 204, 241, 265, 289, 291, 
##     301, 307, 314, 304, 306, 312, 321, 321, 328, 336, 341, 329, 
##     330, 330, 324, 326, 320, 320, 317, 325, 323, 315, 304, 288, 
##     261, 258, 246, 233, 226, 193, 162, 146, 111, 88, 82, 78, 
##     16, 8, -6, -26, -27, -29, -31, -39, -40, -70, -70, -62, -74, 
##     -74, -68, -80, -79, -76, -80, -83, -81, -79, -84, -88, -82, 
##     -85, 22, 39, 66, 89, 92, 107, 124, 134, 181, 198, 211, 217, 
##     231, 237, 261, 271, 273, 269, 276, 276, -40, -41, -57, -69, 
##     -60, -65, -59, -72, -79, -78, -63, -71, -69, -77, -73, -72, 
##     -76, -79, -70, -74, -73, -69, -69, -62, -62, -56, -57, -54, 
##     -38, -17, -4, 15, 37, 39, 237, 235, 241, 245, 236, 225, 217, 
##     220, 220, 222, 224, 233, 227, 230, 235, 229, 228, 228, 223, 
##     235, 224, 235, 227, 228, 216, 233, 236, 225, 224, 234, 226, 
##     224, 235, 231, 226, 235, 223, 234, 221, 222, 228, 221, 214, 
##     224, 218, 231, 223, 221, 228, 223, 232, 222, 223, 223, 221, 
##     222, 224, 228, 227, 225, 232, 231, 238, 227, 234, 221, 234, 
##     228, 228, 234, 231, 235, 228, 224, 227, 231, 230, 228, 226, 
##     226, 228, 229, 229, 232, 230, 227, 233, 235, 236, 241, 235, 
##     237, 243, 239, 240, 237, 234, 236, 234, 231, 237, 229, 231, 
##     235, 232, 236, 233, 231, 232, 233, 232, 231, 235, 233, 230, 
##     234, 228, 234, 233, 237, 234, 235, 236, 227, 226, 246, 225, 
##     235, 239, 231, 242, 232, 231, 233, 234, 231, 236, 241, 230, 
##     230, 226, 239, 226, 233, 229, 238, 241, 241, 230, 234, 241, 
##     250, 243, 237, 249, 236, 239, 241, 235, 245, 241, 240, 250, 
##     256, 241, 254, 249, 243, 254, 253, 245, 243, 245, 251, 245, 
##     248, 250, 254, 256, 242, 224, 189, 151, 141, 117, 45, 35, 
##     12, 2, -23, -51, -64, -79, -112, -122, -130, -142, -150, 
##     -140, -151, -154, -151, -156, -155, -126, 258, 272, 264, 
##     270, 263, 270, 266, 257, 280, 282, 285, 280, 281, 290, 285, 
##     277, 272, 267, 239, 234, 219, 198, 180, 171, 150, 127, 64, 
##     26, 17, -37, -77, -108, -128, -143, -156, -169, -176, -169, 
##     -164, -171, -171, -167, -173, -163, -167, -174, -181, -183, 
##     -173, -167, -156, -155, -124, -125, -99, -89, -79, 292, 277, 
##     283, 288, 286, 295, 296, 296, 295, 297, 297, 286, 275, 254, 
##     231, 195, 175, 138, 108, 82, -15, -78, -107, -111, -110, 
##     -115, -120, -124, -124, -129, -120, -124, -113, -118, -120, 
##     -102, -75, -73, -64, -46, -17, 9, 28, 61, 116, 129, 147, 
##     -129, -126, -131, -137, -138, -147, -145, -135, -132, -93, 
##     -44, -42, -1, 28, 42, 61, 103, 149, 201, 206, 228, 314, 336, 
##     331, 330, 345, 346, 351, 356, 351, 351, 355, 338, 337, 330, 
##     332, 336, 345, 343, 341, 345, 330, 320, 321, 301, 273, 246, 
##     197, 195, 96, 87, 62, 56, 30, 20, -1, -24, -44, -56, -58, 
##     -79, -89, -105, -103, -120, -123, -127, -122, -125, -117, 
##     -86, -65, -39, -5, 35, 55, 88, 91, 123, 148, 220, 225, 238, 
##     257, 287, 301, 306, 305, 302, 303, 299, 301, 299, 289, 284, 
##     281, 293, 294, 297, 302, 313, 317, 316, 303, 303, 300, 291, 
##     264, 253, 245, 235, 203, 108, 38, 4, -13, -84, -108, -129, 
##     -130, -135, -133, -145, -149, -150, -143, -153, -151, -152, 
##     -148, -151, -162, -155, -157, -149, 301, 313, 311, 314, 322, 
##     320, 328, 328, 332, 338, 327, 325, 324, 317, 319, 322, 327, 
##     316, 319, 315, 310, 316, 302, 289, 276, 263, 246, 234, 203, 
##     155, 56, -23, -65, -88, -93, -112, -128, -146, -152, -162, 
##     -182, -193, -196, -182, -186, -170, -123, -98, -51, -32, 
##     1, 28, 37, 95, 123, 196, 204, 226, 241, 249, 258, 265, 274, 
##     297, 314, 317, 317, 325, 317, 304, 293, 292, 277, 291, 304, 
##     297, 304, 301, 292, 297, 282, 269, 248, 231, 222, 203, 148, 
##     96, 63, -64, -117, -134, -155, -169, -172, -171, -182, -188, 
##     -194, -206, -208, -221, -215, -203, -200, -160, -141, -120, 
##     -82, -69, 20, 59, 86, 125, 139, 230, 229, 270, 273, 315, 
##     308, 288, 281, 286, 296, 291, 289, 274, 275, 239, 227, 197, 
##     168, 128, 81, 7, -33, -67, -98, -125, -140, -151, -156, -166, 
##     -179, -211, -209, -216, -235, -245, -252, -254, -251, -250, 
##     -231, -219, 450, 457, 463, 459, 459, 455, 457, 452, 455, 
##     460, 454, 450, 458, 458, 457, 460, 455, 461, 454, 457, 458, 
##     454, 462, 454, 458, 462, 461, 463, 450, 463, 457, 452, 458, 
##     461, 457, 459, 462, 459, 455, 460, 462, 462, 464, 463, 458, 
##     460, 456, 457, 463, 453, 455, 448, 457, 448, 457, 462, 451, 
##     466, 460, 464, 459, 459, 458, 464, 458, 457, 460, 472, 461, 
##     465, 458, 458, 453, 457, 448, 456, 458, 466, 456, 467, 452, 
##     457, 455, 444, 450, 452, 455, 453, 448, 454, 458, 444, 452, 
##     452, 452, 455, 451, 450, 442, 445, 449, 448, 454, 449, 453, 
##     448, 444, 451, 450, 447, 447, 442, 443, 451, 452, 457, 445, 
##     448, 451, 443, 442, 453, 450, 462, 449, 456, 460, 453, 455, 
##     454, 453, 448, 452, 448, 454, 453, 457, 445, 450, 447, 452, 
##     451, 453, 454, 449, 448, 451, 451, 457, 454, 454, 460, 452, 
##     457, 457, 461, 451, 448, 449, 451, 457, 442, 454, 453, 451, 
##     452, 451, 448, 454, 452, 453, 451, 444, 451, 462, 446, 455, 
##     457, 454, 452, 463, 457, 459, 454, 460, 456, 460, 456, 463, 
##     457, 458, 460, 459, 455, 453, 453, 455, 462, 456, 462, 460, 
##     454, 455, 453, 454, 458, 455, 465, 456, 451, 450, 457, 458, 
##     461, 465, 453, 464, 458, 458, 458, 450, 452, 447, 458, 457, 
##     452, 466, 458, 453, 454, 453, 457, 455, 453, 454, 457, 452, 
##     460, 463, 454, 463, 454, 459, 458, 452, 461, 456, 456, 453, 
##     456, 449, 464, 462, 467, 462, 453, 462, 466, 453, 453, 456, 
##     453, 455, 451, 456, 456, 454, 454, 447, 453, 453, 450, 455, 
##     455, 461, 452, 457, 453, 456, 460, 459, 461, 458, 459, 455, 
##     457, 452, 451, 458, 448, 443, 439, 443, 443, 441, 432, 448, 
##     437, 436, 438, 433, 429, 429, 430, 428, 428, 432, 426, 433, 
##     425, 428, 428, 426, 425, 428, 428, 429, 436, 439, 433, 431, 
##     437, 435, 438, 438, 439, 433, 433, 431, 433, 435, 437, 439, 
##     434, 438, 430, 438, 428, 432, 435, 436, 424, 435, 429, 432, 
##     438, 429, 425, 433, 427, 429, 426, 433, 434, 341, 333, 336, 
##     333, 340, 339, 341, 336, 329, 336, 338, 331, 337, 342, 334, 
##     337, 350, 338, 338, 332, 333, 335, 332, 336, 343, 340, 332, 
##     333, 337, 335, 331, 344, 327, 338, 334, 336, 339, 336, 337, 
##     330, 334, 342, 325, 330, 335, 334, 345, 336, 336, 330, 335, 
##     343, 335, 333, 335, 336, 339, 340, 332, 339, 331, 332, 334, 
##     330, 339, 328, 337, 340, 329, 337, 341, 339, 330, 335, 337, 
##     345, 336, 337, 337, 339, 341, 337, 339, 340, 332, 341, 335, 
##     326, 337, 336, 339, 340, 333, 338, 334, 342, 332, 342, 329, 
##     337, 341, 335, 339, 339, 332, 328, 333, 340, 338, 341, 341, 
##     335, 332, 337, 342, 339, 328, 342, 336, 343, 335, 340, 339, 
##     339, 344, 335, 338, 347, 339, 328, 334, 334, 337, 339, 338, 
##     336, 334, 334, 351, 337, 340, 342, 333, 342, 334, 342, 333, 
##     337, 338, 335, 332, 338, 339, 351, 334, 340, 334, 341, 331, 
##     338, 335, 338, 331, 336, 331, 350, 333, 333, 338, 340, 336, 
##     340, 330, 341, 338, 337, 345, 337, 338, 335, 338, 334, 346, 
##     349, 338, 341, 336, 341, 348, 344, 353, 341, 341, 340, 334, 
##     348, 348, 338, 342, 336, 342, 347, 340, 335, 348, 340, 345, 
##     338, 335, 354, 345, 342, 339, 352, 341, 342, 342, 341, 341, 
##     350, 340, 342, 348, 343, 346, 348, 345, 345, 344, 340, 339, 
##     341, 337, 333, 342, 346, 342, 336, 338, 348, 335, 336, 345, 
##     337, 336, 341, 334, 334, 340, 346, 336, 332, 332, 337, 335, 
##     341, 332, 337, 338, 337, 336, 335, 341, 334, 330, 330, 337, 
##     335, 338, 348, 343, 340, 340, 341, 337, 347, 336, 330, 331, 
##     335, 340, 336, 327, 330, 334, 332, 340, 333, 335, 331, 335, 
##     336, 334, 332, 336, 341, 330, 334, 347, 328, 327, 339, 332, 
##     329, 328, 345, 342, 338, 325, 335, 335, 339, 346, 329, 330, 
##     337, 332, 330, 333, 324, 319, 306, 303, 283, 286, 261, 226, 
##     223, 195, 192, 159, 143, 114, 88, 62, 33, -5, -25, -34, -47, 
##     -58, -65, -84, -85, -88, -88, -110, -107, -119, -128, -134, 
##     -159, -168, -178, -180, -197, -201, -194, -200, -200, -202, 
##     -207, -212, -214, -212, -217, -207, -189, -166, -147, -128, 
##     -91, -82, -65, -64, 14, 41, 45, 170, 199, 206, 261, 263, 
##     289, 300, 299, 313, 320, 327, 329, 343, 346, 354, 357, 358, 
##     349, 351, 352, 351, 337, 332, 325, 316, 316, 311, 310, 295, 
##     257, 242, 175, 139, 117, 52, 40, -27, -62, -80, -110, -121, 
##     -146, -154, -157, -171, -185, -194, -206, -220, -234, -232, 
##     -237, -242, -244, -251, -246, -238, -229, -218, -210, -178, 
##     -163, -145, -72, -64, 14, 51, 130, 227, 298, 304, -136, -152, 
##     -156, -195, -227, -241, -248, -242, -232, -238, -234, -223, 
##     -215, -146, -120, -57, -13, -6, 59, 71, 133, 170, 220, 236, 
##     254, 276, 290, 308, 315, 319, 366, 372, 382, 390, 390, 387, 
##     379, 376, 380, 367, 360, 366, 361, 372, 375, 366, 355, 351, 
##     342, 322, 95, 64, 18, -5, -38, -53, -86, -103, -123, -142, 
##     -177, -238, -265, -266, -263, -264, -268, -250, -254, -260, 
##     -246, -222, -205, -195, -166, -160, -139, -129, -95, -91, 
##     -53, -8, 12, 39, 142, 172, 202, 226, 225, 250, 255, 257, 
##     274, 276, 294, 294, 303, 313, 307, 313, 333, 380, 374, 354, 
##     360, 348, 340, 326, 318, 302, 295, 274, 258, 243, 177, 159, 
##     128, 44, -2, -68, -88, -110, -180, -192, -211, -212, -216, 
##     -219, -218, -222, -208, -195, -181, -172, -114, 0, 50, 74, 
##     102, 154, 172, 193, 215, 243, 255, 254, 285, 294, 302, 314, 
##     325, 331, 333, 342, 340, 345, 355, 356, 353, 345, 348, 344, 
##     334, 335, 328, 335, 331, 322, 318, 293, 251, 159, 134, 122, 
##     13, -13, -27, -56, -71, -105, -162, -164, -202, -221, -227, 
##     -233, -211, -203, -192, 437, 420, 423, 422, 428, 421, 417, 
##     415, 411, 418, 411, 419, 412, 411, 417, 417, 405, 408, 411, 
##     411, 413, 413, 418, 416, 407, 409, 409, 414, 409, 403, 407, 
##     403, 414, 415, 411, 409, 409, 415, 409, 420, 411, 411, 419, 
##     420, 420, 422, 416, 413, 416, 430, 421, 424, 421, 416, 423, 
##     419, 423, 430, 426, 428, 427, 427, 422, 428, 429, 425, 423, 
##     421, 425, 430, 419, 424, 424, 422, 430, 426, 431, 426, 424, 
##     422, 426, 422, 427, 424, 421, 424, 416, 423, 425, 420, 424, 
##     432, 427, 426, 422, 420, 426, 430, 423, 426, 428, 433, 423, 
##     424, 430, 424, 422, 431, 424, 425, 423, 425, 426, 430, 428, 
##     429, 423, 423, 429, 427, 425, 428, 422, 429, 426, 423, 430, 
##     435, 432, 432, 430, 424, 435, 426, 432, 433, 429, 421, 436, 
##     426, 431, 432, 435, 430, 432, 436, 424, 434, 434, 432, 428, 
##     435, 439, 436, 428, 431, 431, 436, 427, 431, 423, 431, 432, 
##     432, 428, 427, 426, 429, 424, 433, 434, 432, 438, 435, 431, 
##     429, 432, 433, 443, 432, 431, 435, 425, 427, 431, 432, 432, 
##     430, 427, 434, 433, 424, 428, 426, 428, 426, 429, 430, 433, 
##     430, 428, 433, 437, 428, 430, 430, 431, 432, 438, 430, 425, 
##     431, 427, 438, 430, 434, 433, 440, 438, 443, 434, 431, 428, 
##     424, 431, 431, 437, 432, 427, 428, 432, 429, 431, 432, 437, 
##     432, 429, 437, 435, 436, 440, 433, 429, 436, 432, 435, 429, 
##     435, 430, 419, 429, 431, 427, 423, 436, 432, 421, 426, 431, 
##     438, 434, 440, 442, 436, 440, 443, 446, 444, 446, 439, 446, 
##     448, 441, 440, 438, 438, 437, 441, 439, 445, 444, 441, 439, 
##     440, 439, 445, 447, 439, 441, 445, 437, 452, 447, 444, 450, 
##     445, 440, 438, 441, 440, 445, 449, 436, 433, 437, 433, 437, 
##     432, 429, 437, 438, 437, 440, 431, 438, 433, 441, 430, 438, 
##     436, 435, 434, 431, 438, 432, 439, 438, 434, 437, 430, 441, 
##     432, 433, 433, 431, 433, 427, 424, 427, 418, 416, 420, 415, 
##     420, 412, 428, 417, 419, 427, 420, 422, 413, 408, 415, 415, 
##     415, 419, 411, 418, 417, 416, 419, 409, 418, 410, 414, 416, 
##     417, 409, 412, 423, 412, 415, 415, 409, 417, 414, 414, 409, 
##     413, 422, 417, 410, 414, 410, 417, 415, 414, 415, 417, 420, 
##     415, 421, 415, 415, 411, 411, 418, 416, 414, 409, 403, 412, 
##     411, 409, 412, 401, 416, 414, 419, 407, 396, 366, 263, 252, 
##     211, 136, 120, 68, 38, 3, -61, -64, -83, -91, -93, -105, 
##     -110, -115, -120, -130, -136, -121, -104, -85, -67, -52, 
##     -40, -8, 37, 63, 108, 135, 187, 271, 309, 439, 439, 440, 
##     448, 442, 455, 445, 432, 432, 433, 434, 432, 439, 439, 447, 
##     434, 428, 419, 383, 353, 345, 263, 254, 216, 160, 110, 51, 
##     40, 10, 0, -17, -27, -36, -74, -79, -88, -86, -79, -54, -36, 
##     -28, -11, -2, 28, 26, 52, 102, 128, 144, 187, 206, 219, 254, 
##     306, 311, 336, 361, 385, 419, 442, 462, 466, 457, 457, 454, 
##     449, 444, 443, 454, 436, 416, 389, 316, 277, 198, 180, 145, 
##     137, 81, 13, -37, -68, -79, -97, -90, -98, -81, -74, -64, 
##     -62, -54, -29, 4, 6, 59, 101, 127, 149, 211, 226, 272, 400, 
##     399, 440, 453, 463, 454, 443, 450, 441, 436, 437, 443, 433, 
##     443, 427, 426, 403, 397, 396, 364, 269, 225, 159, 119, 70, 
##     61, 23, -2, -49, -67, -77, -83, -84, -89, -84, -84, -81, 
##     -69, -39, -12, -11, -4, 27, 37, 58, 92, 163, 229, 243, 287, 
##     310, 373, 409, 428, 441, 447, 443, 450, 449, 441, 439, 438, 
##     436, 430, 442, 430, 429, 431, 433, 420, 409, 413, 399, 385, 
##     371, 356, 336, 296, 249, 239, 147, 62, 4, -17, -22, -48, 
##     -107, -103, -82, -90, -41, -12, 77, 94, 219, 232, 248, 281, 
##     367, 372, 457, 458, 453, 460, 448, 447, 440, 444, 440, 448, 
##     440, 434, 438, 434, 418, 399, 335, 304, 291, 240, 215, 133, 
##     118, 91, 81, 19, -14, -16, -56, -70, -71, -81, -75, -47, 
##     -3, 7, 44, 59, 97, 108, 147, 167, 267, 272, 299, 314, 339, 
##     362, 377, 453, 466, 468, 472, 469, 466, 446, 445, 435, 447, 
##     449, 444, 448, 440, 439, 384, 369, 356, 329, 269, 251, 238, 
##     198, 102, 80, 12, -30, -37, -53, -55, -43, -23, -18, -14, 
##     -2, 13, 28, 47, 60, 87, 145, 218, 248, 258, 282, 318, 340, 
##     357, 416, 441, 453, 457, 444, 437, 445, 446, 441, 444, 434, 
##     446, 437, 407, 398, 350, 281, 149, 106, 32, 22, -4, -38, 
##     -39, -54, -56, -60, -122, -111, -111, 212, 194, 209, 198, 
##     213, 198, 205, 204, 202, 200, 199, 201, 204, 198, 203, 201, 
##     197, 195, 200, 195, 198, 200, 199, 197, 203, 204, 202, 209, 
##     211, 218, 213, 215, 212, 219, 234, 236, 233, 239, 247, 244, 
##     234, 224, 221, 225, 222, 219, 225, 223, 228, 222, 227, 275, 
##     266, 262, 202, 171, 159, 108, 91, 56, 44, 34, 10, -2, -33, 
##     -43, 303, 297, 306, 304, 299, 294, 294, 308, 304, 308, 318, 
##     313, 318, 316, 328, 314, 327, 313, 315, 303, 302, 288, 281, 
##     3, -12, -35, -40, -41, -54, -44, -48, -55, -61, -50, -49, 
##     -59, -52, -44, -52, -49, -27, -3, 56, 169, 136, 118, 77, 
##     44, 26, 6, -19, -60, -67, -74, -77, -79, -77, -90, -88, -89, 
##     -93, -87, -89, -81, 264, 262, 262, 253, 250, 250, 244, 234, 
##     237, 240, 235, 232, 223, 221, 162, 153, 129, 52, 50, 32, 
##     -7, 245, 248, 258, 275, 288, 291, 293, 296, 310, 297, 298, 
##     289, 280, 298, 299, 301, 315, 304, 296, 220, 219, 234, 230, 
##     232, 229, 230, 232, 227, 226, 227, 231, 229, 221, 232, 232, 
##     224, 227, 223, 223, 237, 224, 233, 224, 225, 234, 233, 264, 
##     244, 202, 189, 177, 169, 165, 167, 153, 179, 188, 191, 259, 
##     265, 263, 262, 263, 263, 270, 271, 269, 263, 268, 267, 273, 
##     274, 272, 278, 280, 270, 274, 292, 274, 271, 273, 267, 264, 
##     246, 257, 248, 252, 257, 277, 270, 273, 273, 283, 284, 287, 
##     289, 282, 291, 285, 294, 280, 278, 282, 285, 280, 280, 295, 
##     288, 282, 290, 285, 284, 279, 280, 285, 273, 281, 289, 282, 
##     291, 289, 282, 278, 288, 283, 283, 278, 285, 290, 290, 287, 
##     287, 296, 292, 280, 284, 283, 277, 284, 281, 275, 284, 283, 
##     285, 279, 287, 279, 280, 287, 289, 281, 280, 286, 279, 286, 
##     276, 282, 284, 283, 285, 284, 285, 298, 278, 287, 286, 279, 
##     276, 294, 284, 288, 293, 293, 277, 286, 284, 287, 285, 283, 
##     291, 287, 285, 281, 283, 290, 281, 290, 280, 291, 281, 285, 
##     277, 286, 282, 285, 288, 283, 296, 280, 290, 285, 280, 282, 
##     283, 284, 285, 282, 281, 281, 278, 279, 274, 277, 276, 271, 
##     272, 271, 283, 282, 279, 292, 282, 290, 290, 298, 296, 299, 
##     289, 293, 295, 285, 286, 284, 280, 278, 285, 286, 280, 279, 
##     282, 283, 273, 276, 278, 286, 276, 273, 288, 276, 270, 284, 
##     278, 285, 275, 278, 270, 277, 271, 269, 272, 274, 281, 282, 
##     289, 281, 289, 280, 296, 282, 294, 281, 278, 288, 283, 278, 
##     274, 270, 275, 268, 279, 278, 264, 260, 259, 250, 268, 264, 
##     269, 281, 280, 276, 282, 283, 279, 274, 273, 278, 276, 280, 
##     282, 276, 288, 294, 286, 293, 287, 294, 286, 295, 289, 283, 
##     289, 287, 296, 286, 284, 286, 295, 289, 289, 286, 289, 287, 
##     294, 299, 302, 251, 240, 227, 219, 203, 174, 174, 160, 168, 
##     143, 148, 158, 159, 151, 144, 158, 160, 159, 162, 169, 163, 
##     171, 148, 151, 167, 173, 168, 159, 159, 168, 168, 161, 162, 
##     166, 175, 173, 172, 177, 166, 173, 160, 168, 154, 148, 149, 
##     144, 140, 136, 128, 128, 139, 120, 112, 116, 115, 117, 111, 
##     115, 118, 119, 123, 128, 130, 133, 127, 134, 129, 134, 144, 
##     136, 129, 146, 147, 152, 150, 168, 162, 161, 158, 161, 171, 
##     168, 166, 178, 178, 178, 181, 182, 193, 192, 200, 197, 200, 
##     207, 219, 213, 226, 211, 212, 223, 226, 237, 246, 246, 259, 
##     262, 276, 287, 274, 281, 264, 250, 248, 253, 250, 266, 259, 
##     264, 258, 261, 268, 270, 278, 281, 283, 275, 275, 273, 278, 
##     274, 273, 269, 270, 271, 276, 280, 265, 267, 271, 269, 270, 
##     267, 266, 268, -16, -24, -30, -60, -58, -61, -53, -64, -52, 
##     -46, -40, -50, -49, -44, -38, -34, -12, 18, 92, 106, 118, 
##     125, 142, 145, 160, 186, 205, 221, 257, 264, 274, 285, 280, 
##     279, 258, 264, 260, 263, 259, 253, 261, 249, 256, 258, 275, 
##     28, 60, 81, 100, 154, 165, 171, 224, 215, 223, 231, 233, 
##     237, 243, 241, 246, 255, 261, 271, 266, 269, 305, 290, 300, 
##     295, 296, 293, 292, 293, 296, 301, 328, 299, 292, 281, 248, 
##     240, 242, 223, 194, 171, 163, 108, 59, 31, 17, -18, -26, 
##     -25, -33, -33, -33, -32, -31, -24, -5, -4, 19, 28, 33, 97, 
##     127, 130, 133, 158, 166, 204, 227, 246, 257, 262, 266, 274, 
##     264, 266, 280, 284, 287, 285, 268, 235, 224, 212, 209, 221, 
##     210, 216, 215, 172, 155, 133, 129, 107, 102, 86, 73, 55, 
##     -12, -22, -20, -36, -44, -64, -63, -52, -20, -16, -7, 4, 
##     -4, 20, 24, 39, 54, 91, 113, 136, 153, 154, 161, 172, 182, 
##     190, 196, 221, 225, 255, 269, 259, 257, 271, 266, 276, 274, 
##     270, 279, 267, 271, 274, 262, 256, 261, 262, 271, 271, 298, 
##     272, 228, 176, 145, 133, 119, 68, 69, 54, 45, 38, 18, 0, 
##     -15, -30, -48, -47, -58, -59, -47, -49, -37, -39, -35, -37, 
##     -18, -16, -10, 20, 34, 33, 54, 79, 144, 141, 170, 183, 223, 
##     239, 238, 248, 258, 271, 272, 268, 266, 266, 263, 249, 253, 
##     263, 277, 286, 299, 293, 299, 300, 289, 306, 305, 312, 308, 
##     308, 300, 303, 295, 285, 288, 279, 277, 261, 252, 247, 254, 
##     256, 268, 271, 269, 259, 207, 182, 183, 170, 142, 127, 101, 
##     107, 88, 87, 48, 46, 96, 116, 137, 137, 200, 207, 210, 220, 
##     219, 226, 231, 237, 245, 247, 259, 247, 246, 251, 259, 266, 
##     287, 290, 308, 310, 303, 295, 286, 289, 283, 272, 257, 241, 
##     243, 225, 235, 251, 259, 266, 281, 281, 259, 254, 243, 235, 
##     234, 231, 227, 225, 151, 141, 127, 47, 95, 98, 111, 125, 
##     154, 169, 183, 193, 195, 207, 207, 228, 227, 245, 252, 256, 
##     261, 272, 266, 268, 274, 272, 279, 290, 292, 293, 297, 293, 
##     295, 297, 291, 283, 279, 279, 254, 250, 255, 248, 191, 141, 
##     118, 104, 98, 93, 63, 50, 43, -8, -19, -35, -40, -39, -43, 
##     -50, -51, -57, -64, -62, -77, -68, -74, -69, -69, -65, -78, 
##     -67, -62, -68, -60, -54, -50, -40, -22, -20, -14, -5, 15, 
##     48, 59, 71, 89, 92, 124, 140, 148, 161, 176, 202, 228, 261, 
##     270, 281, 315, 318, 344, 343, 355, 354, 361, 361, 369, 362, 
##     371, 0, -12, -18, -34, -37, -48, -47, -54, -48, -47, -46, 
##     -40, -44, -27, -20, 3, 16, 23, 56, 60, 88, 213, 192, 181, 
##     182, 153, 143, 109, 99, 93, 73, 51, 30, 30, -14, -22, -48, 
##     -49, -59, -60, -67, -66, -53, -41, -46, -45, -33, -19, -2, 
##     5, -1, 160, 160, 162, 164, 168, 174, 173, 162, 163, 162, 
##     157, 149, 161, 161, 166, 168, 160, 165, 159, 162, 177, 164, 
##     175, 288, 302, 303, 309, 309, 310, 309, 310, 317, 316, 335, 
##     342, 342, 348, 320, 308, 295, 282, 275, 274, 269, 289, 289, 
##     284, 281, 288, 274, 282, 279, 281, 281, 283, 271, 281, 275, 
##     286, 285, 280, 257, 280, 288, 280, 301, 291, 291, 289, 285, 
##     285, 287, 285, 293, 280, 288, 282, 287, 284, 427, 429, 437, 
##     430, 430, 427, 436, 438, 435, 435, 433, 434, 438, 438, 432, 
##     431, 432, 437, 432, 434, 432, 433, 431, 438, 462, 455, 461, 
##     458, 457, 463, 464, 457, 462, 458, 460, 456, 453, 450, 458, 
##     462, 451, 457, 458, 450, 443, 456, 450, 448, 456, 455, 455, 
##     455, -162, -155, -157, -150, -137, -117, -20, 45, 73, 132, 
##     199, 260, 284, 279, 325, 324, 316, 312, 300, 226, 193, 134, 
##     126, 58, -20, -37, -48, -74, -85, -97, -103, -118, -123, 
##     -124, -131, -122, -123, -117, -118, 188, 210, 238, 253, 265, 
##     283, 289, 298, 310, 310, 308, 306, 289, 288, 302, 299, 303, 
##     312, 315, 320, 337, 343, -32, 51, 79, 83, 106, 155, 160, 
##     184, 213, 216, 222, 235, 232, 246, 266, 281, 283, 292, 295, 
##     296, 303, 304, 300, 293, 299, 285, 285, -111, -110, -84, 
##     -73, -59, -25, -25, -10, 12, 33, 35, 65, 82, 101, 120, 120, 
##     142, 138, 159, 173, 185, 231, 234, 250, 247, 227, 229, 228, 
##     227, 232, 221, 237, 228, 229, 228, 228, 223, 228, 237, 222, 
##     226, 225, 226, 235, 229, 230, 236, 243, 235, 227, 236, 134, 
##     132, 143, 163, 174, 198, 215, 215, 219, 224, 219, 214, 215, 
##     216, 217, 219, 224, 215, 217, 210, 211, 211, 212, 202, 65, 
##     62, 77, 78, 79, 121, 144, 127, 145, 121, 123, 117, 115, 113, 
##     126, 109, 117, 114, 118, 112, 109, 106, 103, 115, -77, -78, 
##     -71, -65, -53, -54, -48, -39, -24, -28, -31, -20, -20, -15, 
##     -15, -19, -38, -59, -38, -19, 28, 36, 47, 55, 344, 366, 395, 
##     395, 397, 404, 410, 417, 418, 408, 392, 398, 395, 399, 390, 
##     383, 379, 382, 379, 368, 367, 366, 363, 352, 343, 320, 113, 
##     211, 264, 294, 312, 325, 347, 346, 341, 330, 331, 340, 341, 
##     372, 364, 368, 157, 277, 286, 307, 305, 335, 336, 347, 359, 
##     356, 367, 372, 373, 367, 366, 359, 353, 354, 351, 350, 257, 
##     249, 210, 173, 143, 132, 89, 57, -6, -1, 11, 46, 105, 120, 
##     193, 247, 265, 308, 312, 356, 368, 367, 369, 370, 359, 360, 
##     360, 356, 350, 348, 345, 348, 340, 350, 340, 345, 344, 347, 
##     338, 341, 340, 337, 336, 332, 322, 310, 301, 224, 346, 353, 
##     321, 345, 364, 374, 370, 386, 372, 366, 358, 357, 355, 343, 
##     338, 330, 322, 305, 283, 258, 211, 202, 146, 145, 96, 73, 
##     64, 19, -33, -49, -60, -79, -102, 385, 388, 389, 388, 390, 
##     385, 369, 369, 361, 360, 363, 364, 363, 363, 360, 375, 367, 
##     373, 372, 381, 381, 373, 382, 378, 377, 375, 375, 378, 376, 
##     378, 378, 383, 383, 380, 381, 382, 381, 378, 380, 386, 383, 
##     377, 378, 365, 352, 335, 296, 293, 262, 217, 182, 158, 128, 
##     59, -7, -7, -46, -70, -104, -128, -128, -134, -120, -83, 
##     -59, -52, -9, 76, 202, 304, 336, 361, 387, 468, 470, 474, 
##     472, 476, 470, 465, 473, 442, 430, 119, 103, 81, 53, -24, 
##     -64, -107, -120, -103, -102, -96, -84, -78, -36, 8, 39, 62, 
##     189, 207, 277, 292, 327, 354, 368, 384, 396, 414, 442, 456, 
##     441, 438, 442, 437, 426, 425, 417, 412, 403, 395, 383, 380, 
##     387, 369, 370, 378, 377, 383, 379, 383, 373, 361, 352, 307, 
##     282, 269, 223, 161, 84, 40, -67, -85, -105, -148, -156, -121, 
##     -40, 4, 38, 72, 181, 206, 222, 278, 304, 317, 361, 398, 418, 
##     424, 422, 419, 406, 401, 407, 410, 421, 402, 395, 381, 375, 
##     384, 385, 393, 385, 376, 369, 263, 252, 200, 192, 147, 99, 
##     42, 12, -11, -57, -70, -94, -111, -115, -120, -110, -109, 
##     -105, -97, -102, -82, -27, -14, 29, 152, 296, 333, 390, 417, 
##     446, 467, 457, 452, 399, 402, 392, 389, 366, 366, 373, 377, 
##     377, 388, 380, 383, 386, 382, 355, 345, 338, 264, 252, 207, 
##     199, 177, 137, 105, 90, 58, 10, -11, -43, -106, -111, -121, 
##     -145, -118, -98, -77, -58, -33, 89, 197, 395, 402, 420, 400, 
##     379, 347, 307, 295, 233, 169, 157, 44, -32, -103, -117, -147, 
##     -151, -147, -124, -128, -115, -103, -55, 53, 172, 211, 278, 
##     300, 459, 462, 478, 463, 451, 440, 424, 411, 399, 379, 377, 
##     375, 379, 382, 387, 391, 378, 395, 395, 403, 422, 432, 424, 
##     425, 409, 382, 358, 311, 286, 285, 260, 245, 201, 127, 105, 
##     3, -51, -90, -138, -141, -110, -100, -70, -17, 4, 91, 329, 
##     382, 401, 423, 422, 427, 426, 427, 430, 430, 435, 440, 378, 
##     378, 358, 361, 350, 355, 350, 348, 351, 368, 383, 378, 343, 
##     258, 22, -14, -34, 415, 405, 393, 367, 371, 374, 370, 376, 
##     375, 383, 387, 400, 393, 409, 409, 421, 416, 385, 366, 348, 
##     283, 272, 246, 217, 181, 29, -33, -104, -143, -165, -187, 
##     -208, -200, -191, -188, -170, -166, -99, -55, 14, 65, 142, 
##     268, 290, 358, 361, 388, 408, 416, 475, 474, 437, 423, 399, 
##     391, 387, 385, 383, 385, 394, 403, 402, 403, 409, 402, 381, 
##     368, 359, 339, 323, 254, 243, 170, 117, 64, 6, -97, -110, 
##     -155, -157, -204, -243, -254, -262, -264, -260, -192, -196, 
##     -163, -19, 9, 18, 45, 75, 88, 103, 126, 242, 258, 268, 279, 
##     296, 327, 118, 156, 184, 211, 215, 227, 242, 253, 252, 284, 
##     283, 283, 295, 294, 297, 300, 285, 296, 286, 290, 297, 285, 
##     280, 299, 289, 283, 291, 296, 305, 312, 304, 305, 298, 305, 
##     310, 309, 309, 316, 308, 310, 298, 313, 296, 304, 305, 320, 
##     312, 311, 307, 324, 317, 316, 314, 304, 313, 310, 315, 310, 
##     316, 305, 312, 313, 305, 304, 311, 315, 309, 304, 318, 320, 
##     312, 313, 307, 309, 309, 309, 307, 305, 311, 307, 308, 308, 
##     303, 313, 311, 306, 308, 305, 321, 315, 309, 316, 313, 317, 
##     315, 312, 315, 318, 310, 309, 293, 278, 281, 255, 244, 240, 
##     217, -165, -127, -106, -78, -48, -34, 61, 87, 102, 113, 144, 
##     173, 185, 198, 211, 242, 259, 286, 315, 331, 346, 350, 350, 
##     337, 331, 324, 313, 312, 315, 322, 318, 320, 320, 325, 317, 
##     319, 326, 315, 310, 273, 263, 201, 187, 120, 104, 42, 2, 
##     -55, -83, -94, -128, -178, -192, -204, -201, -198, -204, 
##     -200, -181, -180, -160, -153, -130, -124, -142, -128, -193, 
##     -238, -235, -229, -220, -202, -166, -164, -140, -127, -68, 
##     -25, -20, 48, 60, 86, 193, 209, 223, 238, 326, 321, 312, 
##     205, 191, 163, 108, 65, 33, -47, -66, -110, -127, -145, -160, 
##     -160, -181, -169, -170, -163, -168, -146, -106, -112, -132, 
##     -143, -183, -186, -225, -230, -232, -208, -137, -126, -98, 
##     -77, -58, -37, -3, 11, 38, 80, 125, 194, 213, 244, 256, 266, 
##     272, 298, 296, 342, 340, 341, 324, 321, 324, 318, 318, 319, 
##     321, 322, 327, 333, 332, 333, 342, 332, 318, 306, 272, 232, 
##     152, 113, 49, -90, -111, -125, -141, -158, -173, -184, -179, 
##     -174, -164, -144, -105, -82, -89, -110, -140, -152, -187, 
##     -197, -208, -230, -229, -226, -216, -175, -107, -85, -58, 
##     -47, -11, 13, 73, 88, 182, 200, 207, 262, 312, 312, 317, 
##     315, 305, 311, 326, 325, 325, 316, 322, 315, 318, 297, 212, 
##     177, 80, 29, 14, -16, -34, -68, -97, -125, -142, -161, -206, 
##     -212, -221, -238, -237, -208, -194, -192, -174, -145, -132, 
##     -132, -175, -188, -204, -225, -238, -247, -260, -249, -244, 
##     -224, -194, -135, -89, 57, 160, 109, 72, 57, 20, -21, -50, 
##     -60, -101, -121, -170, -202, -204, -221, -225, -239, -247, 
##     -245, -253, -258, -238, -198, -168, -157, -148, -139, -149, 
##     -157, -182, -271, -280, -281, -278, -269, -255, -240, -200, 
##     -174, -166, -139, -84, -56, -44, 151, 237, 256, 284, 312, 
##     339, 346, 346, 322, 317, 306, 302, 307, 307, 324, 317, 317, 
##     318, 315, 316, 292, 215, 164, 9, -36, -56, -88, -156, -170, 
##     -198, -237, -247, -260, -176, -156, -89, -36, 4, 32, 75, 
##     137, 158, 205, 221, 227, 264, 289, 307, 324, 343, 348, 362, 
##     367, 374, 393, 380, 379, 385, 382, 372, 366, 367, 359, 352, 
##     354, 342, 336, 303, 289, 264, 253, 176, 146, 123, 67, -9, 
##     -48, -69, -80, -116, -158, -190, -206, -217, -184, -101, 
##     -87, -40, 13, 50, 104, 127, 138, 167, 211, 235, 237, 256, 
##     263, 288, 319, 321, 330, 340, 330, 358, 368, 379, 368, 369, 
##     370, 369, 366, 358, 361, 363, 356, 367, 371, 341, 230, 186, 
##     138, 130, 113, -43, -60, -105, -159, -165, -190, -186, -208, 
##     -206, -211, -201, -200, -188, -168, -138, -119, -100, -63, 
##     -25, 10, 88, 180, 115, 72, 62, 30, -19, -38, -48, -82, -112, 
##     -116, -131, -163, -172, -203, -225, -225, -227, -245, -239, 
##     -238, -217, -217, -164, -126, -114, -79, -3, 50, 128, 236, 
##     241, 254, 252, 268, 313, 326, 327, 348, 343, 348, 345, 341, 
##     328, 330, 329, 310, 322, -262, -257, -244, -226, -201, -174, 
##     -114, -93, -65, -58, -26, -2, 52, 127, 170, 191, 198, 229, 
##     229, 261, 265, 274, 272, 289, 310, 318, 324, 330, 328, 327, 
##     333, 339, 346, 343, 343, 337, 336, 346, 351, 351, 351, 357, 
##     349, 364, 358, 354, 352, 358, 355, 356, 360, 363, 362, 362, 
##     362, 357, 366, 355, 354, 359, 358, 368, 363, 358, 357, 359, 
##     358, 364, 358, 362, 363, 355, -89, -65, -31, -12, 23, 35, 
##     106, 135, 151, 208, 227, 250, 306, 315, 326, 341, 339, 332, 
##     326, 334, 329, 330, 331, 321, 323, 323, -285, -84, -64, -27, 
##     20, 44, 136, 177, 232, 272, 286, 295, 313, 328, 333, 339, 
##     328, 329, 333, 333, 320, 319, 318, 312, 321, 306, 299, 285, 
##     263, 171, 134, 68, 17, 13, -227, -260, -294, -298, -292, 
##     -286, -272, -272, -270, -267, -261, -267, -264, -271, -281, 
##     -299, 325, 339, 326, 322, 294, 279, 255, 192, -25, -69, -105, 
##     -163, -178, -240, -279, -321, -314, -319, -312, -306, -314, 
##     -317, -329, -346, -349, -342, -294, -216, -144, -126, -85, 
##     -68, -33, 14, 128, 181, 184, 217, 257, 321, 327, 337, 334, 
##     337, 322, 324, 300, 268, 255, 93, 32, 5, -69, -96, -146, 
##     -236, -263, -285, 26, 56, 188, 229, 260, 264, 281, 302, 303, 
##     320, 312, 332, 344, 344, 337, 330, 336, 339, 344, 335, 350, 
##     339, 328, 326, 330, 321, 312, 279, -315, -316, -321, -278, 
##     -261, -247, -224, -176, -157, -116, -69, 88, 108, 163, 206, 
##     311, 325, 335, 351, 346, 352, 364, 361, 361, 364, 362, 356, 
##     359, 343, 348, 344, 342, 320, 319, 303, 246, 222, 184, 172, 
##     128, 86, 33, 9, -42, -59, -118, -203, -234, -257, -270, -290, 
##     -285, -290, -304, -309, -314, -341, -337, -341, -341, -343, 
##     -347, -343, -284, -249, -210, -125, -88, -21, 91, 144, 201, 
##     235, 245, 303, 320, 361, 373, 370, -32, -36, -28, -8, 8, 
##     19, 55, 164, 169, 216, 247, 253, 265, 275, 290, 303, 322, 
##     392, 409, 419, 430, 436, 450, 458, 467, 460, 468, 466, 457, 
##     452, 454, 449, 441, 448, 453, 460, 448, 446, 450, 358, 418, 
##     441, 484, 464, 460, 449, 452, 446, 446, 446, 454, 421, 405, 
##     387, 371, 299, 247, 185, 167, 131, 45, 28, 5, -60, -72, -83, 
##     -77, -71, -73, -70, -49, -44, -46, -15, -11, 47, 126, 174, 
##     257, 279, 298, 313, 345, 375, 409, 416, 436, 463, 458, 461, 
##     455, 449, 442, 447, 442, 453, 446, 453, 453, 453, 456, 458, 
##     464, 452, 458, 458, 454, 456, 456, 465, 453, 457, 456, 455, 
##     467, 457, 452, 470, 463, 468, 454, 460, 455, 459, 453, 452, 
##     453, 447, 448, 448, 440, 431, 422, 418, 363, 267, 247, 203, 
##     182, 145, 120, 80, -111, -146, -189, -218, -209, -218, -209, 
##     -215, -222, -225, -212, -218, -209, -169, -127, -101, -67, 
##     -26, 6, 129, 207, 264, 328, 352, 399, 458, 464, 469, 462, 
##     424, 424, 422, 413, 426, 442, 429, 415, 374, 366, 339, 314, 
##     143, 128, -47, -103, -170, -181, -190, -202, -200, -195, 
##     -189, -187, -179, -159, -152, -121, -109, -69, 28, 152, 216, 
##     293, 318, 364, 446, 471, 467, 458, 450, 458, 446, 449, 460, 
##     120, 176, 200, 347, 365, 409, 436, 455, 468, 454, 451, 439, 
##     433, 447, 445, 413, 346, 339, 242, 126, 103, 4, -16, -40, 
##     -76, -132, -147, -158, -168, -184, -191, -173, -164, -130, 
##     -104, -41, -34, 67, 238, 406, 437, 456, 472, 472, 480, 480, 
##     438, 428, 444, 442, 431, 434, 413, 401, 356, 327, 302, 254, 
##     231, 101, 47, -72, -86, -115, -176, -204, -226, -221, -219, 
##     -205, -201, -198, -197, -147, -65, 5, 145, 170, 205, 224, 
##     294, 349, 397, 425, 431, 443, 448, 448, 455, 435, 441, 434, 
##     425, 432, 437, 432, 431, 436, 425, 419, 316, 293, 177, 156, 
##     77, -50, -91, -98, -152, -189, -206, -221, -209, 459, 448, 
##     433, 426, 338, 322, 281, 255, 88, 45, -33, -167, -199, -204, 
##     -236, -242, -247, -243, -245, -239, -238, -214, -169, -143, 
##     -113, -40, -13, 150, -30, -86, -101, -6, 2, 44, 40, 72, 124, 
##     127, 147, 259, 263, 290, 305, 306, 304, 317, 322, 327, 337, 
##     332, 372, 351, 359, 361, 359, 351, 357, 346, 348, 353, 341, 
##     340, 362, 350, 359, 359, 357, 353, 344, 342, 335, 330, 323, 
##     319, 309, 296, 289, 285, 286, 291, 282, 288, 281, 275, 279, 
##     282, 244, 222, 193, 147, 141, 101, 68, 50, 43, 19, 14, -8, 
##     -86, -96, -106, -115, -128, -142, -148, -131, -124, -113, 
##     -109, -98, -95, -87, -85, -77, -74, -81, -80, -90, -97, -103, 
##     -107, -110, -97, -100, -5, 15, 46, 67, 72, 84, 95, 111, 113, 
##     125, 179, 244, 244, 265, 292, 313, 331, 335, 331, 319, 321, 
##     318, 312, 315, 307, 290, 283, 244, 231, 217, 186, 178, 132, 
##     109, 92, 73, 66, 49, 28, -11, -33, -66, -82, -90, -84, -91, 
##     -98, -91, -90, -91, -85, 186, 217, 236, 271, 284, 294, 302, 
##     317, 312, 315, 326, 322, 324, 334, 355, 352, 352, 357, 361, 
##     357, 352, 358, 353, 363, 345, 339, 340, -116, -105, -111, 
##     -107, -107, -101, -113, -111, -115, -65, -24, 56, 112, 138, 
##     146, 193, 208, 248, 242, 256, 278, 288, 302, 328, 341, 334, 
##     330, 308, 294, 315, 329, 361, 363, 359, 362, 359, 357, 345, 
##     352, 334, 337, 339, 341, 329, 331, 330, 270, 266, 247, 155, 
##     73, 62, 37, -14, -52, -74, -93, -94, -120, -130, -151, -160, 
##     -165, -173, -170, -164, -167, -165, -167, -168, -148, -153, 
##     -148, -148, -151, -153, -138, -145, -143, -145, -133, -137, 
##     -142, -128, -123, -115, -78, -74, -14, 56, 77, 106, 115, 
##     130, 374, 373, 371, 367, 365, 331, 326, 250, 164, 127, 81, 
##     73, 47, 24, -14, -14, -40, -64, -88, -105, -132, -135, -150, 
##     -160, -164, -156, -152, -156, -141, -140, -145, -145, -150, 
##     -151, -161, -163, -150, 368, 375, 379, 385, 377, 391, 383, 
##     389, 383, 382, 379, 378, 373, 369, 372, 372, 373, 335, 310, 
##     283, 253, 223, 177, 150, 98, 66, 30, -72, -89, -111, -115, 
##     -131, -149, -151, -152, -154, -149, -147, -138, -146, -145, 
##     -123, -143, -138, -141, -143, -142, -141, -131, -136, -131, 
##     -132, -115, -100, -63, -6, 30, 76, 92, 151, 168, 174, 176, 
##     192, 209, 224, 230, 250, 255, 294, 305, 316, 334, 336, 341, 
##     354, 361, 378, 376, 374, 379, 378, 369, 370, 364, 361, 355, 
##     348, 345, 328, 315, 291, 245, 155, 85, 35, 12, -65, -111, 
##     -117, -126, -132, -125, -128, -123, -127, -129, -120, -121, 
##     -108, -112, -109, -107, -96, -108, -99, -103, -105, -117, 
##     -108, -112, -124, -126, -129, -120, -129, -128, -123, -116, 
##     -102, -82, 67, 100, 120, 134, 162, 184, 193, 211, 231, 257, 
##     263, 275, 291, 288, 317, 327, 341, 363, 372, 384, 392, 391, 
##     386, 387, 382, 386, 386, 379, 381, 382, 376, 375, 370, 375, 
##     367, 375, 370, 374, 372, 357, 365, 361, 356, 346, 299, 261, 
##     144, 90, 19, 18, -45, -52, -65, -71, -71, -84, -82, -74, 
##     -87, -84, -85, -84, -81, -84, -79, -81, -80, -96, -84, -85, 
##     -92, -86, -89, -79, -66, -54, -26, 42, 73, -138, -123, -110, 
##     -92, -49, 20, 43, 95, 124, 170, 182, 196, 261, 289, 299, 
##     318, 316, 332, 329, 342, 348, 351, 361, 356, 359, 149, 150, 
##     183, 193, 262, 270, 290, 309, 322, 325, 363, 365, 368, 365, 
##     372, 381, 377, 374, 320, 304, 293, 272, 258, 208, 197, 158, 
##     129, 85, 53, 35, 31, 0, -13, -16, -31, -34, -40, -63, -78, 
##     -76, -82, -96, -104, -97, -105, -103, -93, -102, -107, -109, 
##     -77, -70, -68, -66, -60, -74, -76, -82, -81, -68, -31, -5, 
##     35, 63, 100, 155, 177, 326, 333, 326, 331, 337, 338, 335, 
##     336, 341, 344, 346, 345, 349, 352, 350, 348, 355, 349, 342, 
##     350, 362, 358, 359, 355, 6, 20, 45, 86, 90, 110, 161, 222, 
##     224, 239, 238, 261, 273, 309, 304, 318, 312, 303, 311, 359, 
##     356, 372, 354, 342, 328, 320, 299, 282, 276, 260, 239, 223, 
##     205, 174, 159, 126, 81, 69, 57, 45, 35, 13, 4, 0, -6, -33, 
##     -40, -45, 76, 60, 52, 13, -2, -23, -30, -30, -29, -31, -34, 
##     -40, -33, -24, -21, -12, 1, 31, 46, 44, 65, 102, 297, 292, 
##     294, 290, 285, 229, 220, 218, 224, 224, 235, 241, 216, 202, 
##     194, 174, 138, 136, 113, 113, 98, 79, 71, 66, 64, 40, 35, 
##     32, 25, 15, -2, -27, -12, -31, -36, -36, -55, -55, -53, -63, 
##     -78, -72, -72, -68, -35, 24, 67, 81, 96, 127, 135, 149, 171, 
##     196, 210, 254, 255, 263, 266, 255, 269, 255, 268, 254, 252, 
##     237, 219, 211, 208, 204, 221, 252, 253, 271, 309, 306, 310, 
##     310, 315, 325, 327, 335, 337, 325, 319, 312, 296, 275, 263, 
##     259, 230, 182, 145, 109, 94, 94, 79, 55, 46, 16, 7, 2, -13, 
##     -23, -24, -48, -46, -54, -65, -77, -83, -78, -84, -87, -86, 
##     -82, -86, -87, -70, -68, -58, -45, -37, -17, -1, 42, 111, 
##     159, 193, 211, 220, 228, 239, 257, 268, 275, 279, 281, 285, 
##     302, 295, 301, 306, 322, 341, 326, 322, 316, 317, 320, 325, 
##     334, 318, 339, 332, 329, 331, 323, 317, 317, 299, 301, 298, 
##     290, 280, 280, 268, 270, 268, -79, -89, -83, -85, -77, -79, 
##     -79, -79, -71, -71, -60, -68, -47, -38, -33, -33, -16, 18, 
##     22, 40, 47, 65, 97, 118, 117, 292, 289, 286, 288, 284, 283, 
##     278, 274, 274, 283, 275, 273, 271, 285, 280, 265, 241, 224, 
##     203, 202, 171, 148, 126, 110, 91, 15, 4, -20, -33, -49, -64, 
##     -69, -83, -87, -121, -128, -123, -133, -146, -160, -179, 
##     -160, -155, -150, -136, -146, -161, -161, -165, -172, -170, 
##     -180, -182, -181, -168, -170, -172, -154, -145, -125, -76, 
##     -29, -15, 45, 101, 149, 195, 202, 220, 231, 242, 254, 255, 
##     259, 273, 285, 279, 290, 297, 329, 330, 319, 300, 297, 293, 
##     277, 266, 255, 263, 255, 251, 222, 183, 158, 122, 118, 84, 
##     54, 17, -59, -69, -79, -127, -151, -150, -151, -155, -168, 
##     -169, -161, -162, -167, -173, -171, -162, -162, -157, -158, 
##     -159, -159, -178, -175, -180, -194, -169, -182, -177, -166, 
##     -162, -153, -126, -110, -56, -27, 10, 95, 131, 141, 139, 
##     153, 161, 171, 196, 259, 267, 265, 267, 280, 271, 287, 285, 
##     295, 304, 310, 299, 306, 298, 291, 282, 271, 268, 259, 191, 
##     187, 163, 137, 131, 112, 105, 81, 60, 18, -14, -35, -70, 
##     -114, -114, -147, -151, -184, -184, -194, -195, -191, -196, 
##     -202, -192, 180, 187, 184, 190, 204, 211, 261, 280, 295, 
##     319, 321, 330, 338, 339, 354, 353, 359, 339, 320, 308, 328, 
##     311, 295, 269, 246, 189, 174, 163, 146, 138, 125, 99, 67, 
##     64, 35, 12, -10, -23, -87, -127, -121, -137, -136, -155, 
##     -156, -164, -170, -158, -181, -172, -169, -171, -165, -164, 
##     -159, -163, -158, -164, -156, -142, -144, -128, -109, -78, 
##     -45, -41, -23, -7, 106, 156, 318, 305, 314, 303, 305, 299, 
##     295, 255, 250, 252, 267, 258, 247, 175, 120, 72, 41, 46, 
##     17, -23, -36, -39, -47, -54, -60, -74, -81, -95, -98, -119, 
##     -136, -138, -139, -142, -148, -150, -143, -148, -138, -133, 
##     -134, -110, -102, -87, -79, -32, -12, -7, 7, 40, 49, 71, 
##     81, 99, 138, 164, 168, 188, 187, 192, 192, 207, 203, 234, 
##     227, 225, 228, 238, 311, 313, 326, 338, 335, 332, 333, 310, 
##     312, 302, 300, 309, 285, 258, 226, 211, 216, 216, 210, 175, 
##     141, 122, 67, 48, 28, 17, 6, 3, -25, -52, -60, -64, -79, 
##     -122, -140, -153, -159, -158, -182, -171, -159, -169, -168, 
##     -162, -155, -163, -151, -140, -130, -120, -98, -47, -38, 
##     -11, 26, 59, 114, 195, 211, 235, 234, 238, 270, 277, 297, 
##     303, 309, 309, 340, 348, 358, 366, 368, 358, 368, 337, 355, 
##     333, 339, 338, 327, 317, 305, 290, 260, 241, 220, 215, 135, 
##     118, 104, 78, 46, 32, 1, -17, 367, 363, 369, 364, 361, -54, 
##     -43, -48, -54, -65, -68, -66, -90, -91, -86, -91, -78, -82, 
##     -72, -62, -62, -55, -32, -31, -23, -13, 301, 302, 299, 294, 
##     291, 292, 296, 313, 301, 308, 306, 316, 327, 327, 338, 346, 
##     332, 340, 326, 324, 287, 276, 223, 195, 171, 128, 123, 108, 
##     78, 67, 12, 21, 2, -12, -37, -43, -55, -60, -62, -73, -77, 
##     -81, -85, -83, -86, -82, -79, -91, -86, -73, -82, -70, -70, 
##     -76, -72, -67, -68, -68, -68, -62, -54, -61, -48, -52, -59, 
##     -43, -40, -40, -31, -41, -38, -39, -31, -20, 193, 206, 205, 
##     232, 257, 272, 282, 286, 287, 287, 298, 308, 320, 319, 317, 
##     323, 315, 324, 320, 321, 319, -193, -214, -201, -199, -213, 
##     -215, -223, -218, -200, -206, -202, -183, -170, -173, -144, 
##     -119, -73, -61, -38, -16, 0, 38, 30, 95, 131, 141, 184, 194, 
##     215, 212, 219, 221, 249, 277, 279, 275, 269, 271, 260, 271, 
##     279, 284, 287, 293, 259, 249, 224, 195, 146, 114, 96, 61, 
##     31, 20, 15, 13, -1, -6, -17, -39, -52, -49, -53, -52, -55, 
##     -57, -90, 125, 133, 157, 190, 211, 212, 216, 232, 238, 217, 
##     213, 224, 229, 243, 259, 301, 300, 309, 311, 308, 308, 332, 
##     372, 387, 419, 482, 464, 451, 442, 436, 441, 444, 437, 435, 
##     378, 346, 319, 219, 195, 55, -211, -216, -209, -208, -192, 
##     -163, -119, -97, 49, 100, 119, 173, 203, 253, 282, 344, 417, 
##     429, 447, 455, 481, 485, 490, 483, 442, 445, 445, 449, 449, 
##     460, 435, 416, 390, 375, 265, 253, 174, 123, 31, -9, -32, 
##     -98, -123, -143, -156, -175, -188, -188, -197, -196, -193, 
##     -180, -151, -143, -106, -48, -23, 451, 455, 460, 459, 462, 
##     463, 463, 470, 461, 461, 464, 459, 461, 460, 464, 463, 455, 
##     457, 457, 463, 457, 461, 427, 409, 356, 318, 290, 265, 222, 
##     191, 171, 149, 104, 91, 77, 27, -44, -76, -77, -64, -55, 
##     -41, -29, 6, 29, 74, 118, 159, 165, 213, 281, 305, -275, 
##     -271, -288, -275, -280, -259, -213, -192, -197, -185, -191, 
##     -234, -267, -268, -279, -285, -283, -281, -259, -212, -177, 
##     -143, -52, -5, 17, 106, 130, 156, 190, 204, 216, 269, 324, 
##     342, 340, 318, 326, 315, 313, 318, 294, 294, 295, 297, 292, 
##     296, 296, 311, 299, 294, 251, 241, 211, 192, 265, 270, 319, 
##     325, 332, 331, 323, 326, 328, 321, 321, 322, 326, 327, 325, 
##     320, 322, 327, 318, 333, 325, 160, 119, 66, -11, -52, -89, 
##     -117, -124, -136, -142, -149, -153, -165, -154, -150, -124, 
##     -95, -60, -41, -63, -77, -81, -103, -106, -107, -130, -149, 
##     87, 10, -86, -152, -194, -220, -220, -220, -223, -213, -218, 
##     -223, -219, -198, -184, -108, -101, -70, 9, 59, 367, 370, 
##     374, 355, 332, 333, 332, 337, 334, 331, 333, 333, 353, 361, 
##     366, 375, 370, 368, 305, 276, 221, -119, -151, -146, -129, 
##     -125, -118, -111, -96, -80, -55, -2, 21, 72, 147, 199, 244, 
##     274, 327, 363, 396, 403, 436, 439, 454, 451, 458, 456, 435, 
##     425, 346, 405, 428, 481, 485, 469, 462, 443, 443, 408, 397, 
##     395, 388, 378, 370, 374, 376, 370, 416, 409, 395, 380, 379, 
##     372, 374, 377, 381, 403, 368, 354, 338, 329, 278, 256, 199, 
##     -104, -137, 368, 381, 380, 371, 373, 369, 368, 358, 349, 
##     307, 299, 253, 218, 149, 54, 34, -25, -52, 275, 198, 161, 
##     111, 65, 41, 28, -2, -65, -98, -140, -153, -175, -215, -232, 
##     -242, -243, -268, -278, -294, -288, -282, -298, -292, -296, 
##     -322, -328, -333, -317, -318, -317, -326, -328, -326, -330, 
##     -332, -333, -341, -357, -347, -341, -322, -311, -265, -224, 
##     -155, -67, -349, -346, -342, -329, -294, -280, -194, -156, 
##     -149, 34, 60, 88, 118, 174, 197, 223, 239, 304, 337, 346, 
##     340, 341, 333, 228, 144, 108, -59, -100, -174, -192, -251, 
##     -250, -282, -285, -281, -279, -270, -272, -286, -278, -279, 
##     -276, -295, -306, -310, -330, -328, -93, -130, -141, -172, 
##     -202, -200, -248, -268, -261, -262, -266, -254, -267, -266, 
##     -271, -271, -272, -273, -286, -283, -286, -273, -146, 351, 
##     367, 356, 359, 352, 355, 352, 355, 362, 361, 359, 359, 349, 
##     355, 354, 339, 328, 340, 320, 305, 268, 265, 222, 130, 19, 
##     -5, -17, 311, 317, 317, 257, 246, 216, 166, 69, 23, -30, 
##     -62, -81, -101, -132, -160, -186, -208, -230, -251, -255, 
##     -263, -268, -268, -278, -275, -275, 286, 290, 298, 298, 296, 
##     311, 322, 324, 347, 360, 356, 351, 354, 349, 345, 343, 351, 
##     342, 348, 344, 322, 295, 263, 216, 175, -249, -215, -184, 
##     -71, -22, 20, 46, 103, 187, 219, 260, 292, 332, 352, 369, 
##     380, 409, 417, 426, 421, 421, 418, 395, 368, 348, 346, 342, 
##     335, 344, 346, 354, 354, 361, 360, 368, 372, 374, 380, 383, 
##     383, 370, 347, 337, 319, 312, 303, 298, 225, 215, 203, 196, 
##     197, 190, 167, 152, 143, 145, 159, 167, 172, 200, 205, 234, 
##     245, 257, 271, 273, 298, 312, 313, 329, 331, 344, 349, 358, 
##     359, 354, 356, 355, 357, 368, 360, 360, 366, 360, 349, 346, 
##     342, 342, 341, 344, 338, 332, 328, 326, 333, 315, 311, 292, 
##     283, 240, 230, 221, 213, 197, 152, 147, 128, 123, 119, 126, 
##     132, 137, 139, 137, 143, 170, 186, 204, 232, 237, 244, 249, 
##     252, 264, 315, 313, 323, 332, 342, 338, 346, 337, 342, 354, 
##     347, 345, 352, 344, 337, 338, 334, 336, 336, 336, 340, 334, 
##     335, 336, 332, 319, 331, 328, 340, 319, 301, 288, 282, 275, 
##     280, 279, 274, 285, 311, 323, 345, 359, 363, 355, 352, 347, 
##     342, 344, 343, 336, 342, 340, 343, 340, 337, 349, 354, 358, 
##     350, 329, 307, 310, 296, 295, 277, 225, 213, 174, 152, 149, 
##     142, 131, 124, 115, 117, 116, 118, 117, 139, 145, 161, 190, 
##     197, 207, 211, 252, 263, 273, 285, 316, 318, 335, 338, 328, 
##     335, 357, 356, 356, 344, 349, 346, 346, 346, 344, 346, 347, 
##     348, 348, 350, 346, 352, 350, 346, 352, 352, 352, 335, 295, 
##     274, 262, 256, 148, 166, 182, 202, 207, 239, 244, 257, 290, 
##     303, 310, 310, 318, 325, 339, 355, 349, 352, 349, 343, 359, 
##     348, 349, 340, 332, 338, 335, 338, 331, 342, 337, 347, 343, 
##     333, 320, 282, 277, 273, 252, 213, 201, 192, 168, 160, 153, 
##     141, 147, 152, 165, 190, 208, 218, 238, 240, 250, 272, 285, 
##     325, 336, 338, 362, 355, 352, 364, 357, 354, 361, 359, 350, 
##     353, 349, 344, 357, 358, 357, 357, 367, 367, 365, 349, 330, 
##     294, 276, 262, 163, 162, 140, 130, 131, 131, 127, 164, 213, 
##     224, 226, 248, 293, 335, 360, 359, 368, 376, 377, 381, 371, 
##     374, 373, 369, 371, 366, 366, 360, 345, 351, 353, 352, 351, 
##     351, 359, 351, 360, 356, 346, 344, 342, 332, 320, 272, 257, 
##     217, 211, 187, 179, 172, 145, 136, 253, 317, 333, 332, 314, 
##     309, 295, 289, 298, 301, 302, 312, 309, 294, 293, 260, 153, 
##     104, 90, 48, 16, 1, -59, -74, -109, -136, -174, -205, -201, 
##     -212, -213, -213, -219, -213, -214, -203, -183, -168, -166, 
##     -151, -144, -134, -136, -144, -170, -191, -222, -224, -242, 
##     -201, -153, -16, 47, 119, 158, 182, 198, 242, 258, 279, 324, 
##     347, 348, 346, 346, 334, 330, 315, 317, 309, 309, 316, 315, 
##     319, 319, 303, 295, 284, 260, 214, 200, 163, 89, 61, 42, 
##     -8, -45, -100, -125, -193, -230, -234, -238, -255, -243, 
##     -213, -212, -189, -171, -178, -197, -227, -285, -288, -285, 
##     -282, -247, -238, -192, -188, -119, -104, -80, 73, 103, 132, 
##     194, 238, 250, 268, 279, 324, 310, 311, 312, 311, 302, 312, 
##     309, 315, 309, 323, 326, 305, 291, 271, 251, 201, 169, 137, 
##     113, 71, 50, 22, -34, -79, -169, -183, -213, -227, -237, 
##     -233, -248, -259, -262, -268, -258, -249, -248, -236, -221, 
##     -218, -213, -222, -232, -272, -274, -282, -278, -257, -265, 
##     -258, -239, -153, -122, -72, -48, 1, 43, 311, 320, 319, 300, 
##     298, 301, 286, 276, 274, 190, 173, 150, 57, 318, 317, 324, 
##     315, 313, 302, 318, 302, 299, 302, 297, 284, 301, 305, 291, 
##     308, 297, 295, 295, 212, 146, 128, 11, -80, -86, -104, -102, 
##     -95, -89, -78, -55, -38, 1, 50, 70, 165, 186, 214, 263, 271, 
##     282, 286, 289, 294, 298, 301, 297, 302, 298, 292, 297, 300, 
##     292, 293, 292, 286, 281, 264, 129, 62, 44, 21, -24, -52, 
##     -78, -111, -117, -117, -110, -111, -95, -84, -70, -54, -22, 
##     41, 53, 62, 80, 91, 159, 182, 221, 244, 250, 252, 254, 245, 
##     262, 263, 276, 293, 284, 291, 287, 270, 250, 241, 215, 150, 
##     101, 83, 48, 28, -27, -57, -79, -83, -103, -97, -102, -94, 
##     -87, -97, -95, -82, -80, -74, -57, -42, -38, -23, 12, 22, 
##     52, 62, 82, 118, 135, 139, 174, 236, 268, 286, 290, 309, 
##     305, 314, 306, 300, 303, 287, 269, 153, 120, 78, 32, -6, 
##     -23, -39, -75, -67, -79, -86, -69, -81, -80, -76, -75, -75, 
##     -60, -61, -52, -44, -35, -26, -9, 8, 315, 320, 325, 323, 
##     310, 322, 320, 322, 311, 283, 250, 235, 218, 190, 176, 142, 
##     16, -5, -65, -50, -48, -41, -47, -47, -32, -17, -16, 18, 
##     84, 136, 144, 158, 209, 221, 239, 244, 269, 276, 293, 300, 
##     302, 296, 286, 291, 281, 289, 295, 290, 293, 292, 288, 289, 
##     290, 298, 266, 261, -152, -189, -195, -224, -233, -250, -272, 
##     -286, -297, -296, -306, -310, -307, -328, -346, -343, -350, 
##     -336, -333, -337, -338, -340, -336, -324, -276, -261, -178, 
##     -8, 13, 51, 64, 141, 179, 217, 247, 264, 320, 338, 359, 367, 
##     374, 384, 388, 378, 379, 383, 370, 379, 363, 365, 352, 345, 
##     339, 338, 328, 300, 198, 52, 32, -36, -51, -135, -138, -168, 
##     -190, -244, -260, -279, -283, -292, -310, -312, -323, -315, 
##     -314, -323, -323, -331, -342, -357, -336, -289, -242, -150, 
##     -103, -58, -30, 20, 119, 170, 173, 249, 279, 306, 315, 337, 
##     336, 351, 358, 366, 363, 363, 366, 373, 368, 358, 360, 354, 
##     349, 343, 319, 278, 225, 137, 30, -301, -273, -255, -214, 
##     18, 55, 65, 96, 173, 185, 212, 232, 234, 241, 251, 278, 307, 
##     295, 305, 300, 316, 311, 318, 321, 330, 318, 321, 319, 320, 
##     320, 312, 315, 313, 318, 319, 314, 317, 325, 313, 321, 319, 
##     319, 316, 318, 319, 329, 339, 353, 363, 360, 375, 365, 369, 
##     365, 358, 354, 352, 347, 335, 338, 332, 326, 331, 336, 334, 
##     329, 337, 338, 349, 342, 344, 359, 347, 355, 356, 361, 360, 
##     356, 378, 367, 362, 357, 356, 369, 370, 391, 388, 392, 405, 
##     392, 407, 382, 370, 360, 359, 342, 334, 334, 326, 328, 326, 
##     329, 328, 320, 328, 331, 325, 326, 334, 324, 320, 320, 318, 
##     324, 324, 325, 332, 334, 326, 329, 327, 325, 321, 322, 333, 
##     325, 325, 331, 322, 322, 324, 325, 321, 323, 331, 319, 325, 
##     320, 309, 310, 306, 305, 307, 291, 293, 286, 270, 265, 183, 
##     64, 29, 9, -88, -110, -127, -132, -125, -94, -82, -8, -5, 
##     50, 216, 242, 260, 279, 274, 280, 289, 307, 311, 339, 337, 
##     335, 347, 339, 335, 333, 325, 309, 303, 300, 273, 232, 236, 
##     220, 157, 142, 113, 71, 47, 28, 15, -16, -79, -91, -97, -90, 
##     -79, -66, -56, -49, -11, 90, 96, 139, 163, 201, 217, 251, 
##     302, 307, 328, 331, 343, 356, 352, 44, 59, 80, 103, 143, 
##     152, 203, 229, 258, 278, 302, 321, 323, 347, 348, 354, 346, 
##     367, 346, 316, 287, 277, 253, 227, 184, 147, 133, 86, 53, 
##     45, 13, -5, -34, -43, -65, -64, -72, -69, -65, -2, 15, 40, 
##     48, 72, 95, 116, 144, 196, 235, 269, 285, 288, 313, 319, 
##     328, 333, 337, 341, 355, 351, 343, 344, 344, 334, 333, 319, 
##     310, 278, 257, 226, 195, 185, 155, 90, 77, 39, 23, -32, -90, 
##     -105, -120, -137, -136, -144, -137, -150, -143, -133, -116, 
##     -107, -103, -77, 83, 100, 112, 131, 145, 164, 198, 223, 269, 
##     281, 313, 317, 316, 320, 312, 291, 289, -248, -251, -243, 
##     -251, -242, -238, -237, -235, -217, -202, -153, -134, 8, 
##     98, 139, 232, 299, 399, 413, 426, 430, 430, 438, 434, 435, 
##     430, 433, 430, 420, 422, 423, 414, 434, 432, 430, 431, 403, 
##     345, 325, 284, 223, 135, 47, 30, -91, -145, -185, -234, -248, 
##     -252, -258, -255, -255, -257, -254, -252, -247, -245, -197, 
##     -116, -72, -41, 9, 31, 81, 100, 150, 181, 221, 325, 382, 
##     407, 422, 440, 452, 443, 435, 432, 432, 435, 436, 440, 432, 
##     431, 431, 421, 399, 264, 237, 167, 35, -135, -150, -175, 
##     -179, -197, -211, -211, -211, -194, -200, -155, -143, -93, 
##     50, 118, 242, 258, 334, 351, 371, 384, 423, 433, 446, 438, 
##     441, 450, 445, 451, 450, 439, 442, 438, 432, 431, 428, 434, 
##     427, 437, 436, 439, 431, 435, 435, 439, 436, 435, 432, 431, 
##     436, 431, 427, 429, 430, 433, 431, 439, 437, 437, 438, 431, 
##     438, 432, 430, 434, 429, 431, 431, 424, 417, 410, 388, 353, 
##     351, 249, 242, 218, 186, 174, 104, 46, 28, 40, 42, 42, 49, 
##     55, 60, 69, 122, 156, 189, 222, 295, 308, 326, 335, 359, 
##     370, 378, 391, 405, 414, 417, 414, 415, 413, 419, 415, 411, 
##     419, 428, 420, 413, 417, 419, 410, 411, 405, 345, 325, 212, 
##     196, 161, 129, 92, 85, 71, 67, 59, 53, 55, 62, 65, 72, 110, 
##     115, 149, 181, 200, 274, 360, 415, 412, 420, 415, 425, 428, 
##     422, 423, 423, 428, 422, 408, 405, 412, 412, 408, 414, 408, 
##     402, 398, 343, 325, 273, 231, 183, 101, 91, 70, 79, 76, 101, 
##     115, 137, 173, 207, 240, 319, 355, 416, 428, 419, 419, 414, 
##     410, 429, 423, 423, 421, 383, 359, 346, 228, 210, 187, 170, 
##     133, 119, 84, 76, 81, 66, 80, 97, 142, 159, 238, 300, 298, 
##     328, 333, 373, 403, 425, 437, 453, 458, 463, 453, 446, 439, 
##     450, 433, 425, 432, 432, 431, 431, 431, 374, 336, 292, 278, 
##     236, 197, 173, 163, 137, 126, 82, 78, 55, 52, 57, 70, 106, 
##     134, 171, 222, 263, 330, 364, 384, 408, 423, 437, 423, 418, 
##     413, 423, 423, 418, 425, 427, 418, 332, 322, 274, 162, 142, 
##     93, 71, 58, 42, 30, 23, 21, 31, 31, 30, 35, 44, 58, 62, 154, 
##     194, 249, 306, 328, 353, 382, 410, 429, 435, 431, 432, 428, 
##     431, 428, 432, 432, 428, 417, 429, 428, 425, 407, 396, 321, 
##     277, 189, 108, 105, 101, 105, 103, 98, 118, 137, 172, 200, 
##     236, 251, 275, 289, 324, 343, 372, 387, 398, 435, 443, 460, 
##     462, 448, 444, 438, 447, 437, 442, 440, 440, 428, 415, 398, 
##     226, 181, 119, 85, 59, 30, 37, 37, 38, 54, 77, 105, 145, 
##     152, 181, 217, 275, 309, 323, 386, 430, 440, 458, 458, 453, 
##     449, 440, 438, 437, 442, 439, 438, 382, 351, 347, 236, 159, 
##     111, 100, 48, 61, 85, 129, 153, 171, 244, 280, 293, 370, 
##     400, 434, 443, 454, 447, 440, 444, 436, 437, 440, 438, 443, 
##     414, 403, 359, 293, 254, 236, 182, 133, 88, 79, 61, 53, 53, 
##     45, 52, 63, 69, 97, 106, 121, 131, 149, 170, 225, 325, 344, 
##     414, 426, 435, 430, 425, 431, 433, 424, 424, 428, 425, 434, 
##     432, 431, 428, 436, 429, 438, 435, 432, 430, 433, 439, 443, 
##     450, 440, 437, 434, 430, 443, 437, 431, 438, 440, 434, 436, 
##     -116, -119, -89, -30, -11, 30, 47, 152, 333, 388, 393, 403, 
##     454, 456, 461, 447, 434, 428, 419, 413, 419, 418, 416, 399, 
##     383, 336, 181, 152, 96, 46, 2, 103, 188, 250, 293, 308, 334, 
##     366, 384, 393, 405, 397, 394, 384, 385, 388, 388, 391, 397, 
##     396, 396, 391, 380, 378, 381, 367, 366, 340, 331, 317, 303, 
##     253, 312, 313, 318, 317, 325, 326, 327, 333, 356, 353, 341, 
##     348, 353, 346, 350, 346, 343, 346, 339, 346, 345, 345, -135, 
##     -135, -130, -123, -118, -108, -106, -106, -115, -109, -112, 
##     -128, -118, -104, -76, -54, -33, -20, 17, 45, 81, 151, 221, 
##     295, 305, 359, 384, 390, 457, 460, 467, 462, 481, 473, 463, 
##     465, 449, 439, 438, 442, 448, 439, 447, 452, 448, 448, 447, 
##     450, 453, 455, 456, 458, 456, 453, 450, 452, 452, 455, 460, 
##     450, 460, 462, 468, 468, 460, 464, 463, 449, 453, 418, 412, 
##     414, 404, 371, 367, 361, 367, 351, 360, 352, 350, 347, 336, 
##     336, 338, 330, 316, 325, 297, 302, 303, 298, 294, 280, 290, 
##     281, 280, 278, 278, 252, 252, 238, 234, 234, 191, 158, 104, 
##     97, 61, 33, 19, 1, -4, 0, -18, -18, -24, -40, -42, -39, -48, 
##     -39, -41, -51, -44, -39, -34, -38, -35, -21, -20, 3, 10, 
##     21, 36, 42, 123, 138, 133, 143, 150, 178, 195, 212, 227, 
##     238, 246, 260, 265, 286, 297, 300, 313, 301, 295, 312, 308, 
##     310, 326, 325, 327, 347, 347, 348, 353, 358, 354, 355, 358, 
##     344, 321, 314, 284, 275, 265, 258, 224, 210, 176, 136, 120, 
##     113, 101, 97, 63, 48, 18, 11, 4, 2, -3, 1, -17, -13, -22, 
##     -34, -30, -35, -41, -46, -33, -33, -37, -24, -16, -16, -10, 
##     21, 30, 44, 72, 75, 398, 397, 390, 382, 387, 378, 375, 380, 
##     372, 369, 341, 342, 331, 328, 327, 315, 310, 291, 281, 253, 
##     242, 223, 206, 193, 169, 147, 71, 61, 42, 48, 39, 30, 24, 
##     27, 19, 23, 27, 27, 23, 32, 36, 32, 39, 41, 48, 65, 68, 95, 
##     87, 104, 124, 149, 217, 246, 262, 261, 271, 276, 312, 317, 
##     314, 319, 311, 304, 311, 313, 319, 328, 334, 339, 352, 347, 
##     348, 341, 344, 338, 326, 305, 259, 244, 216, 205, 199, 169, 
##     146, 140, 114, 114, 89, 84, 72, 78, 52, 46, 40, 22, 10, 9, 
##     14, 0, 11, 8, 18, 9, 17, 15, 19, 29, 42, 81, 80, 121, 128, 
##     158, 188, 227, 233, 258, 263, 284, 298, 308, 315, 317, 324, 
##     328, 320, 318, 332, 329, 328, 344, 338, 341, 333, 339, 332, 
##     317, 315, 306, 302, 298, 300, 295, 283, 268, 256, 203, 161, 
##     142, 122, 67, 60, 60, 56, 45, 45, 36, 22, 25, 27, 27, 9, 
##     17, 16, 18, 279, 287, 303, 308, 324, 324, 321, 323, 322, 
##     324, 320, 320, 327, 325, 318, 315, 301, 295, 289, 273, 260, 
##     238, 221, 221, 195, 187, 177, 159, 132, 115, 106, 88, 85, 
##     75, 64, 54, 44, 32, 15, 14, 12, 16, 7, 3, 11, 16, 11, 16, 
##     10, 16, 29, 23, 55, 118, 150, 181, 199, 229, 256, 285, 286, 
##     293, 322, 330, 330, 345, 341, 344, 337, 329, 339, 341, 334, 
##     338, 337, 337, 332, 338, 328, 332, 310, 300, 285, 230, 219, 
##     210, 171, 168, 146, 106, 85, 73, 61, 45, 40, 29, 17, 39, 
##     22, 27, 23, 32, 35, 32, 29, 24, 60, 63, 117, 170, 209, 235, 
##     235, 268, 271, 293, 297, 314, 323, 331, 349, 350, 360, 357, 
##     371, 364, 367, 375, 371, 379, 373, 382, 374, 384, 387, 384, 
##     379, 365, 359, 360, 314, 302, 281, 253, 228, 216, 219, 186, 
##     167, 103, 86, 65, 54, 35, 33, 31, 31, 42, 48, 40, 36, 30, 
##     35, 53, 53, 58, 71, 73, 87, 107, 139, 167, 185, 221, 227, 
##     244, 261, 272, 279, 292, 294, 284, 303, 311, 325, 322, 322, 
##     304, 310, 13, 18, 24, 23, 42, 40, 59, 64, 83, 117, 169, 224, 
##     224, 249, 271, 281, 286, 279, 290, 279, 99, 152, 157, 249, 
##     270, 264, 277, 282, 361, 372, 352, 357, 371, 373, 380, 373, 
##     388, 297, 313, 314, 323, 325, 323, 327, 330, 331, 331, 345, 
##     346, 344, 345, 343, 347, 350, 342, 340, 341, 336, 335, 343, 
##     335, 327, 318, 311, 300, 290, 345, 339, 330, 337, 303, 293, 
##     278, 268, 191, 137, 115, 63, 16, -13, -24, -63, -75, -101, 
##     -117, -143, -149, -153, -147, -144, -144, -140, -149, -149, 
##     -149, -151, -143, -154, -156, -152, -135, -138, -77, -7, 
##     67, 150, 172, 200, 213, 261, 267, 226, 213, 197, 157, 141, 
##     126, 91, 54, 55, 6, -82, -78, -89, -104, -121, -131, -133, 
##     -142, -145, -82, -96, -116, -141, -153, -161, -167, -171, 
##     -165, -159, -158, -170, -170, -160, -163, -152, -143, -137, 
##     300, 310, 300, 311, 338, 375, 379, 375, 374, 374, 371, 368, 
##     372, 359, 358, 356, 345, 344, 341, 348, 336, 331, 317, 289, 
##     228, 214, 149, 120, 59, -109, -112, -135, -163, -183, -192, 
##     -192, -197, -196, -192, -203, -200, -208, -198, -190, -189, 
##     -183, -177, -185, -179, -182, -164, -148, -140, -135, -123, 
##     -113, -110, -110, -86, -82, -59, -51, -22, 36, 47, 83, 111, 
##     128, 137, 158, 194, 200, 232, 237, 260, 264, 277, 286, 296, 
##     300, 306, 325, 325, 334, 344, 352, 341, 337, 319, 349, 379, 
##     388, 383, 378, 327, 282, 235, 216, 191, 178, 142, 135, 99, 
##     79, 63, 35, -1, -28, -37, -56, -60, -74, -104, -108, -115, 
##     -123, -124, -114, -111, -113, -116, -108, -119, -114, -116, 
##     -113, -116, -115, -114, -102, -76, -75, -47, -33, 28, 64, 
##     80, 166, 203, 205, 210, 218, 227, 226, 236, 219, 211, 223, 
##     226, 249, 258, 270, 287, 311, 310, 328, 331, 341, 342, 339, 
##     320, 318, 306, 305, 309, 297, 298, 303, 295, 291, 283, -140, 
##     -124, -107, -118, -120, -124, -127, -126, -124, -124, -127, 
##     -130, -138, -133, -135, -122, -127, -109, -93, -80, -66, 
##     -19, -8, 27, 317, 298, 284, 297, 285, 272, 276, 258, 270, 
##     262, 251, 227, 200, 192, 177, 162, 153, 145, 140, 130, 110, 
##     96, 89, 77, 59, 39, 17, 21, 8, -2, 8, 13, 16, 19, 46, 54, 
##     66, 71, 76, 86, 98, 142, 144, 151, 176, 179, 189, 194, 204, 
##     207, 221, 220, 237, 235, 248, 244, 252, 253, 264, 267, 279, 
##     288, 279, 278, 273, 278, 273, 271, 239, 235, 233, 201, 160, 
##     153, 130, 109, 106, 106, 89, 89, 77, 71, 54, 40, 33, 5, -1, 
##     10, 3, -1, -3, 9, 11, 21, 24, 42, 33, 41, 67, 86, 101, 117, 
##     125, 136, 140, 146, 166, 174, 184, 187, 196, 204, 236, 227, 
##     234, 240, 250, 245, 250, 252, 263, 304, 304, 299, 285, 267, 
##     264, 265, 249, 242, 218, 204, 188, 138, 131, 107, 108, 147, 
##     152, 154, 176, 171, 184, 188, 182, 181, 187, 200, 196, 199, 
##     214, 241, 254, 282, 292, 328, 342, 335, 302, 295, -12, -2, 
##     -6, -5, 36, 44, 46, 76, 84, 102, 104, 153, 155, 164, 172, 
##     173, 182, 189, 199, 211, 227, 237, 235, 234, 229, 235, 259, 
##     297, 283, 299, 284, 280, 280, 280, 273, 280, 283, 257, 241, 
##     231, 191, 177, 163, 153, 142, 137, 109, 102, 86, 83, 69, 
##     66, 54, 40, 43, 15, 288, 291, 288, 283, 256, 246, 230, 209, 
##     190, 174, 126, 101, 48, 40, 20, 13, 10, 0, -23, 89, 58, 38, 
##     31, 5, 12, 10, 21, 22, 21, 32, 33, 27, 40, 35, 52, 84, 85, 
##     86, 94, 97, 107, 116, 139, 98, 172, 180, 197, 249, 265, 273, 
##     276, 286, 276, 292, 309, 334, 336, 345, 348, 335, 333, 208, 
##     205, 172, 174, 152, 127, 84, -9, -19, -40, -79, -94, -110, 
##     -117, -129, -131, -133, -125, -133, -130, -135, -136, -144, 
##     -120, -104, -96, -92, -70, -61, -46, -27, -24, 53, 76, 82, 
##     119, 122, 162, 161, 160, 172, 191, 201, 241, 262, 285, 284, 
##     293, 299, 428, 432, 427, 439, 420, 416, 393, 348, 332, 297, 
##     251, -64, -100, -110, -130, -133, -145, -150, -151, -128, 
##     -124, 429, 429, 428, 423, 423, 421, 430, 433, 423, 431, 432, 
##     425, 428, 430, 426, 428, 429, 429, 431, 434, 427, 434, 422, 
##     427, 421, 436, 430, 432, 428, 436, 436, 437, 437, 436, 439, 
##     441, 439, 444, 437, 428, 93, 117, 154, 209, 228, 242, 245, 
##     253, 267, 268, 271, 288, 299, 299, 303, 312, 313, 317, -33, 
##     -49, -56, -49, -55, -40, -33, -26, -15, 17, 18, 60, 142, 
##     143, 166, 179, 203, 218, 229, 253, 268, 281, 290, 308, 311, 
##     310, 77, 84, 135, 169, 215, 241, 257, 286, 307, 320, 324, 
##     331, 341, 343, 343, 343, 342, 322, 330, 314, 315, 298, 296, 
##     303, 291, 292, 314, 309, 330, 357, 359, 347, 345, 350, 349, 
##     352, 351, 328, 296, 250, 214, 185, 171, 132, 134, 119, 117, 
##     121, 116, 121, 231, 232, 216, 183, 166, 140, 130, 127, 123, 
##     131, 135, 138, 184, 197, 205, 224, 250, 259, 270, 286, 287, 
##     314, 361, 366, 367, 364, 368, 369, 380, 380, 374, 263, 260, 
##     247, 235, 224, 212, 203, 177, 173, 165, 155, 166, 173, 185, 
##     186, 201, 195, 207, 201, 209, 207, 217, 271, 195, 195, 172, 
##     144, 124, 121, 127, 127, 127, 138, 135, 131, 138, 160, 197, 
##     215, 222, 263, 276, 293, 329, 342, 352, 343, 340, 334, 332, 
##     335, 328, 337, 325, 323, 340, 324, 324, 338, 321, 299, 259, 
##     264, 254, 222, 348, 365, 332, 306, 290, 281, 257, 208, 194, 
##     168, 144, 124, 99, 64, 63, 49, 31, -4, -61, -87, -95, -100, 
##     -104, -93, -100, -94, -77, -80, -52, -27, -13, -75, -186, 
##     -214, -256, -271, -275, -272, -287, -280, -296, -284, -290, 
##     -286, -295, -296, -299, -315, -323, -330, -321, -318, 201, 
##     199, 190, 111, 95, 72, 47, 11, 1, -25, -89, -143, -154, -193, 
##     -200, -205, -216, -240, -257, -286, -274, -293, -283, -282, 
##     -275, -266, -249, -234, -217, -193, -201, -161, -80, -41, 
##     -3, 122, 155, 183, 184, 206, 228, 240, 258, 253, 257, 251, 
##     239, 220, 202, 126, 96, 59, -23, -50, -79, -89, -111, -132, 
##     -174, -190, -202, -230, -243, -249, -291, -281, -282, -273, 
##     -281, -278, -267, -272, -148, -147, -174, -207, -227, -235, 
##     -250, -292, -305, -299, -281, -275, -271, -193, -131, -101, 
##     -82, -60, -35, 2, 63, 86, 120, 129, 144, 160, 165, 152, 152, 
##     147, 144, 123, 92, 65, 28, 10, -29, -47, -69, -106, -115, 
##     -144, -177, -194, -209, -228, -230, -254, -270, -287, -296, 
##     -307, -294, -299, -290, -294, -293, -271, -262, -232, -205, 
##     -184, -151, -129, -71, -66, -43, -6, 22, 66, 100, 124, 154, 
##     159, 116, 133, 132, 150, 158, 179, 194, 238, 242, 267, 264, 
##     274, 287, 295, 305, 335, 342, 349, 346, 356, 371, 348, 344, 
##     344, 345, 354, 347, 353, 344, 351, 350, 352, 347, 343, 347, 
##     342, 330, 319, 287, 254, 243, 239, 227, 211, 206, 184, 157, 
##     137, 132, 138, 139, 144, 141, 148, 147, 143, 139, 135, 242, 
##     247, 244, 233, 229, 232, 231, 229, 223, 216, 214, 206, 207, 
##     199, 195, 197, 185, 171, 160, 154, 155, 145, 135, 131, 127, 
##     36, -21, -48, 1, 36, 59, 137, 150, 171, 211, 237, 256, 253, 
##     263, 277, 285, 288, 288, 288, 270, 272, 269, 264, 264, 259, 
##     259, 258, 251, 246, 219, 202, 173, 148, 130, 103, 85, 70, 
##     58, 1, -32, -28, -32, -32, -31, -7, 2, 21, 42, 73, 97, 239, 
##     231, 223, 209, 203, 200, 199, 164, 127, 94, 64, 42, 15, 13, 
##     -22, -48, -51, -58, -46, -32, -12, 2, 22, 42, 56, 72, 97, 
##     125, 135, 167, 195, 204, 218, 245, 248, 269, 272, 276, 271, 
##     253, 250, 243, 237, 235, 239, 231, 226, 226, 222, 207, 193, 
##     178, 166, 153, 125, 43, 22, 22, 1, -20, -34, -34, -33, -35, 
##     -32, -32, -18, -4, 8, 80, 107, 157, 171, -96, -96, -93, -78, 
##     -53, -48, -41, -9, 9, 17, 40, 54, 81, 106, 143, 165, 181, 
##     196, 208, 225, 235, 243, 255, 247, 255, 251, 257, 254, 251, 
##     254, 255, 253, 247, 244, 245, 238, 244, 228, 231, 231, 219, 
##     215, 205, 198, 193, 185, 168, 165, 150, 148, 117, 80, 51, 
##     28, 16, 11, -13, -45, -41, -45, 219, 216, 212, 205, 194, 
##     199, 197, 191, 187, 174, 173, 129, 119, 108, 80, 51, 20, 
##     -28, -31, -46, -49, -44, -38, -27, -22, 69, 77, 107, 129, 
##     172, 194, 209, 220, 235, 248, 249, 244, 248, 244, 251, 254, 
##     253, 257, 253, 245, 240, 235, 229, 228, 227, 221, 219, 215, 
##     208, 192, 158, 143, 128, 101, 93, 81, 65, 50, 49, 5, -21, 
##     -33, -60, -41, -38, -22, -5, 25, 64, 79, 110, 125, 132, 147, 
##     181, 181, 224, 243, 239, 234, 224, 223, 223, 215, 202, 190, 
##     172, 161, 101, 76, 31, -8, -9, -22, -44, -53, -53, -67, -68, 
##     -65, -65, -49, -20, -3, 30, 43, 162, 171, 206, 216, 265, 
##     19, 43, 44, 39, 44, 100, 97, 114, 120, 126, 134, 142, 180, 
##     209, 216, 229, 114, 77, 57, 42, 32, 24, 25, 10, 9, 4, 6, 
##     0, -1, 16, 12, 17, 48, 75, 70, 85, 95, 143, 147, 171, 218, 
##     238, 256, 242, 274, 284, 273, 279, 292, 297, 298, 285, 271, 
##     236, 229, 211, 183, 140, 99, 66, 64, 63, 57, 54, 53, 60, 
##     59, 62, 53, 52, 57, 46, 36, 25, 10, 1, 1, -25, -33, -44, 
##     -49, -59, -62, -69, -85, -84, -109, -103, -103, -96, -96, 
##     -92, -90, -94, -84, -75, -61, -44, -42, -20, 26, 46, 103, 
##     127, 153, 163, 180, 86, 113, 129, 132, 148, 152, 158, 163, 
##     173, 177, 180, 186, 198, 200, 210, 195, 181, 182, 164, 153, 
##     151, 152, 137, 123, 122, 114, 92, 42, 16, 10, -2, -5, -18, 
##     -31, -27, -33, -58, -53, -69, -76, -76, -70, -71, -64, -56, 
##     -51, -28, -33, -18, 10, 28, 81, 91, 104, 108, 109, 134, 129, 
##     155, 156, 143, 144, 137, 149, 146, 151, 153, 155, 155, 143, 
##     131, 112, 102, 73, 71, 65, 43, 14, -22, -39, -56, -64, -61, 
##     -65, -79, -83, -90, -92, -89, -98, -99, -98, -103, -108, 
##     -110, -113, -104, -99, -72, -69, -66, -45, -44, -33, -31, 
##     1, 16, 84, 89, 120, 147, 149, 153, 157, 168, 174, 179, 185, 
##     181, 177, 174, 156, 158, 153, 156, 142, 129, 109, 100, 91, 
##     72, 57, 53, 38, -22, -18, 6, 23, 68, 66, 86, 97, 109, 100, 
##     148, 159, 159, 163, 166, 172, 174, 164, 153, 157, 157, 146, 
##     137, 135, 124, 42, 43, -14, -19, -29, -52, -66, -52, -70, 
##     -74, -79, -71, -69, -67, -64, -61, -66, -63, -60, -72, -57, 
##     -73, -52, -35, -33, -13, -2, 66, 79, 88, 97, 106, 112, 139, 
##     141, 149, 168, 129, 96, 82, 57, -40, -47, -69, -86, -97, 
##     -99, -98, -103, -84, -96, -86, -68, -61, 14, 53, 109, 136, 
##     160, 208, 228, 237, 242, 248, 256, 256, 262, 266, 272, 267, 
##     279, 284, 279, 287, 279, 281, 282, 280, 289, 276, 263, 253, 
##     232, 226, 163, 128, 28, 21, -34, -65, -70, -104, -110, -112, 
##     -115, -116, -114, -110, -110, -104, -106, -84, -85, -37, 
##     16, 44, 60, 132, 156, 173, 193, 201, 225, 244, 249, 275, 
##     286, 280, 288, 288, 284, 277, 280, 272, 275, 271, 271, 271, 
##     269, 277, 272, 276, 274, 280, 259, 226, 210, 189, 124, 64, 
##     28, 279, 285, 279, 274, 286, 298, 295, 300, 303, 292, 295, 
##     296, 305, 304, 308, 307, 311, 312, 311, 314, 304, 306, 299, 
##     284, 279, 273, 233, 217, 214, 168, 158, 132, 117, 49, -25, 
##     -104, -111, -113, -124, -117, -115, -122, -112, -126, -128, 
##     -130, -130, -116, -96, -95, -80, 9, 9, 67, 76, 103, 108, 
##     146, 210, 224, 262, 308, 342, 320, 300, 294, 298, 291, 298, 
##     297, 293, 299, 310, 308, 311, 311, 316, 319, 293, 278, 205, 
##     145, 114, 93, 60, 40, 11, -19, -124, -119, -122, -131, -126, 
##     -124, -126, -126, -123, -125, -130, -148, -122, -113, -112, 
##     -83, -17, 15, 53, 82, 169, 183, 261, 287, 293, 335, 336, 
##     325, 294, 289, 288, 288, 290, 289, 286, 308, 316, 324, 297, 
##     239, 223, 182, 119, 118, 84, 11, -4, -29, -79, -139, -150, 
##     -153, -162, -158, -162, -154, -164, -180, -181, -177, -153, 
##     -124, -106, -90, -62, 19, 37, 62, 77, 88, 112, 148, 163, 
##     173, 199, 208, 223, 241, 284, 306, 318, 312, 314, 295, 303, 
##     287, 291, 298, 307, 285, 226, 200, 186, 159, 72, 37, -19, 
##     -104, -129, -152, -159, -150, -153, -144, -150, -151, -155, 
##     -168, -172, -159, -138, -100, -71, -32, 9, 44, 193, 203, 
##     257, 274, 305, 318, 332, 328, 296, 286, 290, 298, 288, 296, 
##     300, 302, 302, 303, 305, 319, 251, 223, 177, 161, 125, 118, 
##     31, -4, -13, -75, -119, -129, -148, -154, -158, -152, -150, 
##     -156, -156, -172, -165, -178, -188, -181, -158, -141, -108, 
##     -80, 13, 27, 67, 78, 104, 124, 182, 232, 249, 275, 304, 310, 
##     327, 323, 335, 319, 309, 316, 313, 315, 313, 306, 315, 309, 
##     320, 325, 335, 327, 306, 298, 297, 253, 237, 209, 132, 105, 
##     48, -2, -24, -89, -128, -134, -146, -153, -160, -154, -161, 
##     -159, -158, -167, -175, -174, -177, -164, -153, -131, -109, 
##     -24, 12, 69, 85, 99, 143, 174, 235, 257, 302, 305, 319, 337, 
##     310, 314, 302, 308, 296, 293, 298, -143, -138, -137, -139, 
##     -137, -135, -121, -107, -90, 62, 105, 149, 177, 215, 231, 
##     296, 298, 308, 325, 336, 168, 130, 45, 33, -18, -41, -155, 
##     -186, -182, -192, -99, 10, 34, 113, 176, 229, 260, 259, 287, 
##     294, 304, 315, 337, 335, 327, 326, 324, 314, 311, 302, 294, 
##     309, 290, 250, 242, 227, 216, 184, 39, 5, -33, -83, -103, 
##     -144, -146, -163, -180, -220, -232, -231, -235, -230, -235, 
##     -213, -196, -171, -119, -36, -12, 8, 71, 104, 148, 231, 266, 
##     271, 286, 288, 318, 312, 334, 332, 330, 340, 334, 322, 322, 
##     314, 314, 317, 312, 313, 265, 249, 237, 214, 183, 149, 114, 
##     63, 51, -11, -19, -63, -121, -189, -198, -209, -224, -218, 
##     -199, -195, -191, -169, -140, -124, -48, -13, 145, 177, 187, 
##     220, 235, 254, 261, 283, 293, 303, 349, 361, 360, 353, 351, 
##     335, 313, 304, 283, 267, 233, 166, 153, -9, -30, -62, -108, 
##     -148, -164, -179, -181, -188, -180, -141, -108, -82, -64, 
##     2, -1, 101, 112, 152, 267, 301, 330, 354, 353, 354, 336, 
##     342, 330, 330, 323, 320, 290, 268, 255, 164, 148, 121, 102, 
##     41, -67, -104, -133, -185, -169, -204, -210, -211, -194, 
##     -180, -135, -109, 22, 88, 129, 151, 228, 269, 280, 327, 325, 
##     324, 327, 331, 322, 325, 321, 328, 324, 330, 332, 327, 338, 
##     337, 327, 330, 329, 324, 324, 323, 322, 325, 320, 326, 331, 
##     314, 325, 324, 326, 320, 315, 306, 301, 287, 265, 237, 204, 
##     179, 142, 26, 7, -128, -98, -79, -60, -26, -9, 7, 56, 64, 
##     83, 91, 101, 108, 109, 109, 105, 105, 62, 62, 10, -34, -65, 
##     -121, -153, -210, -228, -248, -261, -298, -300, -305, -293, 
##     -291, -285, -276, -274, -243, -223, -204, -106, -97, -68, 
##     32, 106, 135, 190, 182, 205, 205, 211, 223, 222, 219, 215, 
##     200, -14, -57, -85, -146, -149, -153, -128, -115, -108, -55, 
##     -19, -3, 33, 52, 90, 115, 218, 272, 354, 366, 446, 434, 439, 
##     427, 428, 416, 415, 418, 409, 418, 415, 422, 426, 423, 427, 
##     429, 438, 432, 431, 437, 431, 439, 430, 441, 436, 441, 442, 
##     440, 443, 441, 440, 439, 446, 446, 441, 439, 446, 446, 442, 
##     444, 443, 440, 443, 444, 455, 445, 454, 455, 458, 455, 449, 
##     443, 448, 454, 456, 451, 451, 454, 449, 447, 450, 445, 454, 
##     444, 453, 444, 455, 452, 445, 437, 414, 415, 396, 374, 368, 
##     328, 259, 233, 84, 78, 85, 88, 81, 87, 83, 89, 93, 95, 102, 
##     113, 116, 111, 105, 99, 94, 102, 102, 101, 113, 113, 112, 
##     122, 106, 97, 107, 95, 91, 61, 59, 5, -21, -45, -84, -114, 
##     -130, -139, -136, -134, -134, -119, -113, -86, -78, -48, 
##     -32, -11, -8, 19, 51, 61, 97, 144, 144, 140, 176, 174, 177, 
##     182, 182, 160, 160, 143, 136, 117, 110, 78, 21, -10, -18, 
##     -27, -94, -110, -109, -128, -135, -135, -131, -102, -75, 
##     -11, -3, 27, 36, 47, 61, 93, 105, 126, 133, 181, 178, 178, 
##     175, 185, 199, 207, 147, 146, 142, 121, 96, 66, 34, 31, 10, 
##     -29, -40, -97, -101, -120, -145, -147, -148, -141, -126, 
##     -115, -95, -79, -21, -11, 136, 139, 164, 180, 197, 190, 190, 
##     200, 215, 204, 193, 174, 168, 154, 104, 74, 43, -70, -96, 
##     -120, -124, -126, -129, -139, -136, -128, -120, -101, -84, 
##     -62, -41, 0, 17, 53, 86, 107, 147, 152, 162, 175, 177, 172, 
##     180, 179, 171, 177, 176, 173, 170, 136, 112, 101, 73, 39, 
##     6, -75, 188, 192, 194, 185, 192, 188, 172, 168, 148, 145, 
##     126, 102, 95, 65, 51, 5, -21, -48, -51, -101, -123, -132, 
##     -143, -139, -118, -95, -92, -58, -34, -24, -7, 11, 99, 136, 
##     180, 185, 191, 194, 203, 215, 205, 161, 150, 77, 43, -80, 
##     -95, -114, -148, -158, -183, -176, -186, -171, -178, -168, 
##     -141, -105, -94, -85, -55, -37, -9, 52, 104, 138, 181, 229, 
##     271, 279, 273, 270, 270, 255, 253, 234, 216, 166, 161, 95, 
##     82, 37, -29, -99, -103, -130, -139, -139, -143, -144, -112, 
##     -95, -74, -39, -17, -5, 6, 57, 86, 141, 151, 168, 168, 183, 
##     202, 224, 225, 227, 217, 216, 209, 194, 183, 159, 145, 119, 
##     89, 83, 34, 14, -31, -134, -146, -148, -157, -167, -167, 
##     -173, -167, -178, -159, -145, -39, -72, -108, -118, -138, 
##     -129, -133, -115, -109, -35, 12, 39, 92, 160, 157, 153, 156, 
##     153, 145, 145, 130, 298, 296, 301, 303, 312, 322, 315, 312, 
##     317, 309, 303, 316, 303, 307, 303, 304, 296, 282, 280, 218, 
##     339, 339, 351, 364, 364, 362, 377, 376, 374, 376, 371, 371, 
##     365, 372, 373, 378, 367, 360, 347, 337, 324, 14, 11, 21, 
##     17, 7, 7, 10, 14, 12, 11, 21, 14, 27, 34, 30, 41, 57, 96, 
##     99, 104, 156, 195, 209, 226, 268, 282, 303, 336, 338, 361, 
##     371, 380, 371, 376, 369, 363, 372, 371, 368, 380, 377, 382, 
##     376, 372, 171, 168, 145, 141, 136, 137, 125, 104, 64, 63, 
##     67, 60, 57, 68, 73, 70, 74, 76, 72, 84, 130, 110, 119, 107, 
##     75, 64, 51, 42, 25, 18, 2, -8, -30, -46, -61, -80, -85, -103, 
##     -111, -107, -112, -108, -110, 108, 98, 95, 101, 90, 80, 91, 
##     76, 70, 56, 51, 27, 17, 20, 13, 9, -5, -13, -24, -36, -47, 
##     -44, -57, -56, -59, -60, -53, -62, -54, -51, -53, -47, -52, 
##     -38, -46, -40, -40, -25, 24, 39, 41, 63, 72, 77, 79, 105, 
##     107, 120, -42, -47, -50, -57, -66, -64, -60, -54, -63, -63, 
##     -68, -54, -59, -36, -31, -13, -4, 3, 4, 25, 38, 72, 75, 94, 
##     120, 108, 128, 128, 142, 141, 159, 157, 151, 150, 142, 130, 
##     147, 135, 136, 133, 130, 149, 95, 73, 64, 64, 61, 55, 32, 
##     28, 18, 2, -14, -29, -31, -34, -45, -33, -44, -51, -47, -45, 
##     -43, -44, -44, -45, -37, -37, -30, -23, -18, -15, -13, -3, 
##     33, 48, 100, 103, 136, 145, 157, 162, 148, 146, 135, 155, 
##     158, 156, 156, 153, 150, 158, 152, 160, 159, 161, 145, 109, 
##     102, 76, 42, 24, -22, -32, -48, -50, -49, -72, -65, -75, 
##     -75, -68, -71, -64, -67, -53, -53, -41, -23, -13, -16, -6, 
##     13, 37, 78, 119, 134, 144, 149, 143, 139, 142, 134, 140, 
##     136, 135, 136, 142, 128, 114, 111, 113, 108, 97, 92, 72, 
##     74, 57, 36, 46, 48, 90, 93, 105, 123, 136, 173, 177, 163, 
##     166, 173, 160, 168, 166, 152, 0, -17, -26, -51, -62, -79, 
##     -85, -83, -86, -85, -91, -89, -88, -89, -84, -82, -80, -64, 
##     -67, -56, -42, -40, -29, -21, -22, 2, 121, 127, 130, 136, 
##     130, 124, 121, 119, 120, 123, 128, 113, 99, 104, 91, 57, 
##     15, -8, -28, -32, -103, -86, -64, -51, -36, -3, 24, 30, 62, 
##     74, 100, 107, 114, 108, 113, 110, 108, 111, 124, 107, 106, 
##     113, 105, 70, 69, 73, 80, 81, 76, 77, 74, 72, 73, 70, 68, 
##     72, 74, 76, 75, 80, 89, 95, 99, 102, 108, 121, 126, 134, 
##     130, 127, 120, 379, 368, 359, 352, 351, 350, 355, 348, 339, 
##     331, 326, 312, 306, 307, 259, 227, 222, 207, 284, 235, 239, 
##     165, 90, 65, 57, 51, 48, 45, 45, 27, 29, 21, 16, 11, 13, 
##     3, 3, 15, 13, 24, 25, 33, 37, 44, 66, 104, 108, 129, 169, 
##     195, 256, 250, 260, 262, 275, 283, 303, 313, 324, 190, 157, 
##     145, 117, 82, 62, 49, 49, 44, 36, 29, 18, 16, 5, 6, 2, 6, 
##     3, -17, -29, -29, -22, -8, 4, 1, 52, 89, 95, 115, 178, 219, 
##     228, 233, 226, 229, 222, 229, 238, 247, 251, 265, 271, 281, 
##     288, 297, 29, 13, 15, 8, 24, 9, 4, 8, 15, 11, 20, 17, 19, 
##     28, 37, 45, 53, 59, 75, 80, 87, 109, 119, 141, 155, 188, 
##     197, 227, 235, 234, 229, 215, 259, 265, 280, 269, 275, 279, 
##     268, 268, 278, 266, 269, 279, 274, 277, 267, 257, 185, 153, 
##     151, 157, 143, 121, 105, 97, 86, 79, 60, 36, 26, 24, 15, 
##     -3, -20, -15, -34, -31, -30, -37, -31, -32, -24, -13, -2, 
##     37, 54, 114, 120, 158, 161, 164, 164, 188, 198, 201, 221, 
##     237, 243, 270, 264, 282, 291, 277, 210, 200, 188, 170, 165, 
##     160, 127, 117, 99, 94, 97, 95, 99, 82, 87, 76, 57, 60, 52, 
##     50, 60, 69, 76, 83, 85, 102, 95, 104, 129, 128, 140, 145, 
##     158, 304, 301, 293, 289, 274, 253, 235, 200, 188, 179, 175, 
##     167, 152, 143, 130, 123, 113, 95, 66, 55, 54, 45, 46, 28, 
##     32, 11, 26, 15, 9, 16, 30, 4, -11, -13, -19, -42, -42, -70, 
##     -65, -83, -86, -77, -71, -74, -50, -33, -36, -31, 11, 9, 
##     -12, -25, -21, -38, -51, -40, -38, -56, -62, -65, -73, -81, 
##     -90, -100, -97, -83, -79, -78, -62, -64, -51, -40, -35, -20, 
##     -13, -4, 12, 15, 62, 63, 190, 188, 197, 197, 208, 198, 189, 
##     199, 192, 190, 168, 105, 98, 83, 19, 245, 224, 236, 225, 
##     244, 264, 291, 290, 305, 315, 315, 311, 295, 285, 273, 277, 
##     274, 266, 257, 200, 182, 170, 172, 162, 176, 159, 139, 134, 
##     174, 187, 195, 202, 200, 217, 209, 213, 243, 253, 259, 285, 
##     295, 336, 359, 364, 343, 331, 313, 288, 278, 287, 293, 288, 
##     285, 287, 292, 286, 289, 283, 287, 280, 276, 276, 272, 257, 
##     262, 238, 237, 225, 219, 285, 283, 294, 286, 279, 273, 265, 
##     252, 240, 227, 220, 210, 195, 191, 175, 147, 141, 130, 98, 
##     82, 80, 80, -135, -117, -94, -64, -36, -3, 2, 96, 118, 155, 
##     187, 241, 248, 248, 235, 210, 213, 191, 193, 157, 134, 121, 
##     99, 23, -3, -91, -114, -138, -144, -142, -130, -105, -91, 
##     -73, -40, -36, 1, 23, 43, 77, 114, 149, 157, 194, 180, 178, 
##     119, 112, 106, 100, 108, 104, 117, 112, 106, 116, 113, 113, 
##     121, 117, 125, 114, 113, 118, 121, 185, 124, 102, 105, 93, 
##     80, 80, 77, 63, 66, 65, 65, 63, 68, 74, 67, 75, 71, 76, 80, 
##     75, 70, 74, 70, 82, 79, 80, 82, 256, 203, 178, 170, -64, 
##     -116, -138, -143, -143, -140, -145, -141, -145, -143, -155, 
##     -138, -131, -100, -40, -69, -40, -14, 167, 211, 237, 251, 
##     262, 271, 307, 306, 319, 323, 305, 285, 292, 285, 277, 284, 
##     285, 280, 295, 291, 300, 283, 286, 120, 93, 54, 7, 11, -20, 
##     -49, -67, -83, -99, -96, -85, -94, -88, -79, -78, -67, -61, 
##     -67, -31, -31, -4, 29, 46, 71, 100, 123, 164, 184, 204, 222, 
##     275, 240, 263, 303, 309, 305, 300, 293, 304, 304, 302, 285, 
##     285, 286, 282, 277, 289, 287, 299, 264, 255, 238, 197, 180, 
##     145, 148, -30, -42, -64, -79, -90, -87, -88, -84, -84, -84, 
##     -90, -77, -68, -55, -50, -36, 2, 14, 74, 91, 116, 161, 170, 
##     185, 192, 209, -57, -54, -57, -60, -47, -39, -24, -12, 20, 
##     33, 67, 100, 141, 189, 203, 206, 232, 224, 229, 227, 223, 
##     236, 246, 226, 222, 228, 181, 195, 218, 261, 266, 254, 248, 
##     252, 248, 252, 238, 224, 207, 208, 188, 167, 154, 127, 122, 
##     106, 100, 83, 39, 118, 199, 233, 232, 245, 248, 259, 244, 
##     247, 245, 250, 262, 251, 239, 134, 115, 111, 98, 87, 76, 
##     16, -7, -9, -20, -26, -48, -50, -58, -42, -36, -23, 3, 36, 
##     74, 98, 118, 140, 238, -222, -208, -188, -162, -147, -124, 
##     -91, -86, -43, -22, 23, 27, 63, 76, 117, 132, 149, 167, 176, 
##     177, 162, 117, 98, 85, 73, 14, -14, -55, -104, -126, -11, 
##     -45, -105, -114, -137, -155, -159, -192, -272, -286, -308, 
##     -333, -341, -343, -342, -325, -281, -270, -251, -231, -200, 
##     -182, -165, -129, -198, -186, -175, -161, -133, -110, -10, 
##     11, 37, 69, 86, 128, 192, 216, 240, 326, 333, 353, 368, 382, 
##     395, 430, 444, 458, 471, 478, 470, 466, 464, 461, 453, 443, 
##     441, 434, 439, 445, 454, 458, 449, 450, 453, 325, 333, 366, 
##     -74, -70, -62, -60, -37, 13, 143, 264, 283, 309, 321, 332, 
##     339, 346, 347, 358, 378, 375, 383, 379, 387, 381, 379, 341, 
##     336, 312, 304, 301, 314, 309, 289, 258, 234, 203, 193, 151, 
##     113, 113, 68, 30, -19, -39, -90, -101, -123, -128, -127, 
##     -127, -120, -112, -81, -74, -46, -34, -20, -5, -6, 20, 35, 
##     60, 109, 137, 186, 212, 267, 292, 302, 320, 337, 331, 332, 
##     340, 333, 340, 352, 343, 335, 334, 330, 321, 331, 333, 332, 
##     328, 330, 335, 334, 330, 317, 272, 265, 232, 210, 203, 183, 
##     89, 1, -77, -91, -141, -177, -197, -207, -197, -204, -202, 
##     -194, -207, -208, -203, -204, -196, -187, -169, -161, -121, 
##     -64, -3, 24, 59, 125, 169, 183, 223, 289, 298, 318, 318, 
##     326, 325, 326, 331, 342, 343, 361, 357, 352, 351, 348, -82, 
##     -106, -159, -189, -223, -214, -218, -204, -206, -196, -206, 
##     -196, 186, 161, 128, 121, 85, 51, 11, -10, -65, -105, -222, 
##     -228, -256, -273, -298, -300, -316, -319, -333, -327, -320, 
##     -326, -317, -322, -307, -312, -307, -298, -278, -207, -136, 
##     -103, -48, 35, 52, 84, 117, 158, 179, 193, 223, 227, 234, 
##     229, 200, 181, 179, 145, 118, 101, 87, 57, 22, -25, -67, 
##     -77, -133, -163, -179, -237, -247, -259, -291, -289, -290, 
##     -294, -294, -268, -269, -261, -259, -246, -230, -207, -164, 
##     -144, -135, -103, -69, -42, -20, 8, 26, 114, 123, 144, 175, 
##     191, 200, 203, 223, 230, 220, 211, 206, 156, 69, -1, -6, 
##     -50, -67, -98, -104, -122, -157, -176, -192, -219, -227, 
##     -224, -263, -265, -266, -277, -278, -281, -277, -267, -267, 
##     -251, -240, -235, -174, -147, -118, -50, -22, -10, 45, 90, 
##     106, 144, 174, 179, 260, 280, 293, 282, 273, 263, 260, 255, 
##     239, 225, 207, 169, 93, 48, -125, -158, -168, -184, -207, 
##     -210, -235, -242, -260, -272, -283, -289, -280, -301, -302, 
##     -306, -288, -293, -278, -275, -257, -257, 359, 357, 358, 
##     368, 365, 362, 360, 358, 363, 357, 362, 361, 356, 355, 354, 
##     360, 353, 345, 338, 343, 336, 319, 310, 311, 284, 279, 255, 
##     256, 17, -203, -245, -270, -296, -320, -317, -309, -299, 
##     -286, -263, -261, -255, -256, -249, -252, -245, -247, -250, 
##     -247, -271, -274, -288, -293, -317, -359, -372, -361, -326, 
##     -299, -225, -15, 32, 52, 100, 191, 232, 261, 348, 369, 372, 
##     369, 355, 366, 358, 360, 351, 345, 330, 317, 292, 261, 206, 
##     118, -7, -54, -77, -129, -158, -179, -211, -16, 28, 49, 81, 
##     156, 178, 214, 229, 249, 250, 277, 284, 313, 298, 298, 288, 
##     282, 281, 280, 271, 255, 253, 239, 171, 136, 37, 15, -22, 
##     -53, -107, -144, -166, -209, -252, -298, -310, -313, -304, 
##     -287, -262, -252, -254, -263, -276, -277, -273, -294, -311, 
##     -320, -330, -329, -342, -262, -123, -90, -23, 36, 274, 326, 
##     326, 348, 342, 347, 334, 333, 324, 311, 296, 292, 221, 161, 
##     -13, -134, -193, -210, -286, -295, -279, -260, -254, -249, 
##     -265, -279, -278, -278, -289, -326, -328, -344, -354, -340, 
##     -285, -281, -240, -198, -179, -100, -6, 65, 73, 343, 349, 
##     353, 354, 340, 340, 343, 335, 325, 318, 310, 235, 186, 133, 
##     105, 51, -8, -25, -70, -170, -205, -221, -252, -273, -283, 
##     -286, -292, -290, -288, -301, -326, -351, -352, -384, -370, 
##     -377, -352, -349, -330, -311, -280, -272, -245, -226, -195, 
##     -150, -19, 39, 133, 198, 264, 288, 307, 326, 332, 358, 347, 
##     345, 348, 350, 331, 330, 322, 290, 294, 261, 248, 233, 186, 
##     172, 85, -4, -42, -87, -256, -303, -309, -326, -333, -343, 
##     -345, -352, -360, -366, -370, -358, -357, -335, -323, -325, 
##     -293, -270, -249, -160, -89, -71, 51, 71, 205, 317, 348, 
##     365, 373, 360, 349, 328, 333, 331, 334, 327, 344, 324, 314, 
##     318, 299, 269, 258, 146, -63, -137, -224, -262, -299, -329, 
##     -327, -338, -356, -354, -372, -368, -375, -392, -386, -381, 
##     -372, -367, -339, -328, -296, -187, -181, -143, -105, 34, 
##     74, 167, 273, 283, 327, 294, 293, 295, 310, 309, 326, 332, 
##     328, 325, 348, 356, 366, 371, 374, 388, 391, 387, 388, 383, 
##     372, 374, 329, 319, 317, 332, 353, 359, 312, 195, 153, 32, 
##     -119, -179, -202, -242, -279, -300, -314, -301, -163, -115, 
##     -37, 57, 89, 131, 164, 268, 319, 321, 329, 340, 341, 343, 
##     341, 328, 308, 303, 297, 299, 306, 308, 310, 315, 330, 326, 
##     325, 303, 294, 257, 241, 143, 124, -91, -100, -173, -223, 
##     -290, -315, -326, -301, -271, -241, -165, -92, -35, 98, 121, 
##     175, 215, 234, 282, 312, 339, 365, 378, 385, 390, 387, 375, 
##     374, 344, 343, 326, 322, 327, 327, 333, 358, 366, 363, 365, 
##     333, 299, 262, 219, 207, 180, 166, 86, -28, -72, -97, -205, 
##     -299, -248, -235, -106, -64, -44, 137, 149, 140, 156, 165, 
##     170, 174, 171, 171, 164, 169, 166, 155, 149, 137, 125, 115, 
##     96, 82, 73, 46, 48, 28, 18, 14, 2, -37, -34, -71, -81, -76, 
##     -75, -94, -111, -120, -101, -106, -89, -70, -38, -16, 16, 
##     10, 41, 47, 62, 79, 84, 92, 115, 133, 168, 174, 164, 159, 
##     160, 160, 156, 147, 166, 155, 154, 147, 140, 154, 138, 133, 
##     81, 60, 3, -30, -54, -61, -69, -68, -74, -73, -70, -74, -70, 
##     -75, -82, -72, -82, -81, -88, -96, -92, -90, -80, -79, -51, 
##     -29, -32, -24, -3, -4, 15, 17, 40, 85, 92, 104, 107, 109, 
##     108, 117, 148, 166, 186, 167, 176, 181, 184, 171, 133, 125, 
##     120, 108, 77, 74, 46, 38, 27, 17, 12, 4, 1, -17, -28, -31, 
##     -43, -38, -38, -50, -63, -54, -56, -54, -55, -64, -64, -68, 
##     -64, -57, -63, -56, -54, -56, -55, -48, -42, -29, -7, 32, 
##     23, 43, 36, 38, 43, 53, 61, 65, 88, 100, 108, 123, 136, 142, 
##     173, 171, 179, 170, 172, 156, 162, 172, 167, 160, 155, 132, 
##     124, 113, 110, 88, 80, 64, 53, 18, 3, -13, -5, -25, -37, 
##     -56, -63, -65, -69, -66, -84, -77, -80, -84, -93, -99, -102, 
##     -101, -99, -103, -87, -82, -84, -83, -88, -96, -102, -102, 
##     -105, -97, -85, -82, -86, -56, -58, -32, -31, -22, -11, 0, 
##     13, 44, 62, 89, 107, 106, 117, 131, 144, 168, 165, 160, 153, 
##     161, 176, 171, 179, 192, 201, 195, 212, 230, 226, 235, 235, 
##     247, 262, 251, 257, 248, 265, 251, 246, 238, 244, 248, 262, 
##     255, 252, 259, 252, 257, 255, 258, 265, 257, 257, 242, 239, 
##     233, 227, 208, 199, 185, 168, 156, 132, 111, 94, 40, -39, 
##     -46, -78, -100, -120, -147, -133, -163, -164, -189, -187, 
##     -205, -210, -216, -202, -203, -170, -150, -51, -40, -34, 
##     8, 21, 30, 47, 65, 84, 78, 97, 111, 130, 155, 176, 191, 209, 
##     226, 242, 238, 246, 260, 273, 286, 292, 280, 276, 263, 247, 
##     242, 229, 236, 229, 215, 210, 203, 178, 168, 141, 132, 132, 
##     131, 101, 98, 80, 52, 21, -9, -25, -35, -60, -53, -84, -83, 
##     -100, -107, -129, -128, -148, -153, -171, -175, -185, -192, 
##     -186, -194, -192, -198, -182, -182, -160, -160, -156, -52, 
##     -32, -14, -10, 2, 15, 16, 77, 84, 101, 121, 144, 148, 150, 
##     153, 171, 185, 219, 222, 227, 228, 225, 242, 249, 255, 248, 
##     243, 241, 233, 208, 210, 185, 175, 137, 133, 124, 122, 74, 
##     59, 9, 1, -55, -78, -109, -128, -143, -149, -158, -169, -190, 
##     -194, -203, -194, -208, -203, -192, -181, -165, -152, -130, 
##     -127, -123, -105, -90, -64, -51, -11, 7, 12, 30, 53, 49, 
##     61, 66, 78, 80, 161, 149, 147, 151, 146, 148, 95, 78, 40, 
##     -5, -32, -59, -96, -130, -155, -162, -180, -188, -191, -193, 
##     -194, -197, -203, -212, -188, -180, -168, -159, -150, -153, 
##     -145, -137, -124, -117, -118, -111, -105, -72, -62, -36, 
##     1, 15, 38, 49, 67, 72, 91, 132, 177, 188, 189, 189, 212, 
##     229, 238, 242, 247, 242, 227, 186, 167, 140, 111, 101, 65, 
##     43, 31, 16, -19, -62, -85, -109, -121, -126, -126, -136, 
##     -144, -148, -150, -148, -152, -158, -175, -164, -162, -153, 
##     -148, -146, -128, -113, -79, -43, -30, -13, 20, 63, 105, 
##     127, 161, 223, 239, 246, 251, 252, 249, 244, 241, 238, 287, 
##     296, 301, 293, 284, 279, 274, 273, 278, 279, 288, 273, 200, 
##     173, 155, 111, 69, 63, 38, -26, -61, -119, -110, -127, -139, 
##     -155, -160, -163, -156, -153, -158, -157, -151, -146, -141, 
##     -140, -141, -133, -132, -119, -125, -100, -87, -83, -70, 
##     -68, -49, -47, -36, -24, -2, 40, 57, 61, 122, 126, 127, 131, 
##     123, 180, 168, 182, 183, 174, 162, 153, 135, 112, 105, 116, 
##     117, 120, 121, 123, 106, 71, 45, 33, 18, -58, -77, -86, -79, 
##     -119, -129, -148, -169, -181, -182, -184, -174, -181, -172, 
##     -179, -171, -164, -144, -143, -102, -67, -57, -52, -8, 6, 
##     5, 31, 35, 52, 61, 67, 115, 157, 157, 163, 169, 174, 196, 
##     217, 217, 205, 213, 217, 220, 214, 215, 214, 348, 350, 348, 
##     351, 331, 319, 309, 303, 290, 287, 289, 296, 299, 304, 293, 
##     280, 257, 211, 120, 124, 83, 38, -12, -44, -99, -104, -142, 
##     -156, -190, -185, -190, -194, -192, -200, -191, -182, -174, 
##     -148, -74, -26, 5, 21, 66, 93, 132, 145, 160, 190, 258, 275, 
##     282, 304, 310, 329, 330, 306, 299, 296, 292, 298, 294, 288, 
##     246, 234, 207, 203, 161, 82, -27, -39, -70, -105, -134, -160, 
##     -190, -202, -193, -196, -199, -197, -207, -210, -189, -157, 
##     -128, -90, -7, 4, 259, 259, 256, 274, 269, 277, 272, 278, 
##     292, 266, 273, 276, 274, 277, 272, 279, 285, 284, 290, 299, 
##     280, 286, 287, 289, 272, 275, 271, 267, 251, 242, 210, 169, 
##     147, 100, 44, 1, -17, -169, -174, -187, -199, -217, -223, 
##     -224, -220, -233, -239, -243, -238, -229, -220, -215, -186, 
##     -160, -121, -91, -69, 3, 21, 43, 71, 63, 63, 62, 50, 34, 
##     25, 3, -4, -36, -88, -114, -145, -162, -187, -202, -210, 
##     -201, -211, -189, -191, -178, -169, -158, -131, -113, -105, 
##     13, 28, 55, 83, 100, 128, 131, 143, 153, 158, 141, 140, 125, 
##     119, 24, -16, -28, -54, -109, -128, -160, -167, -185, -196, 
##     -192, -209, -204, -209, -210, -222, -212, -224, -215, -190, 
##     -135, -114, -35, -1, 60, 67, 81, 91, 95, 105, 122, 82, 85, 
##     69, 66, 47, 18, 10, -23, -91, -115, -150, -176, -184, -203, 
##     -206, -211, -217, -216, -216, -210, -197, -192, -173, -153, 
##     -126, -125, -79, -37, -25, 26, 48, 81, 78, 96, 100, 104, 
##     110, 101, 98, 88, 86, 78, 34, 34, 11, -61, -81, -89, -111, 
##     -106, -153, -169, -206, -218, -220, 37, 33, -7, -33, -68, 
##     -109, -118, -191, -183, -201, -210, -213, -225, -223, -223, 
##     -218, -228, -223, -180, -186, -118, -102, -91, -72, -5, 4, 
##     13, 35, 50, 68, 68, 98, 107, 114, 120, 134, 120, 99, 99, 
##     45, 19, -19, -32, -52, -70, -78, -109, -125, -138, -160, 
##     -161, -164, -167, -159, -162, -151, -162, -165, -177, -202, 
##     -194, -187, -161, -95, -62, -13, 43, 41, 49, 65, 77, 73, 
##     80, 86, 67, 67, 66, 49, 48, 24, -1, -3, -40, -55, -67, -114, 
##     -129, -141, -144, -157, -173, -188, -174, -187, -179, -187, 
##     -189, -200, -189, -198, -187, -180, -154, -142, -112, -77, 
##     -56, -47, -1, 17, 27, 43, 45, 44, 66, 80, 93, 91, 87, 72, 
##     55, 48, 18, -10, -69, -130, -142, -178, -175, -186, -184, 
##     -187, 43, 36, -4, -19, -23, -86, -124, -147, -156, -176, 
##     -173, -184, -189, -190, -186, -182, -183, -193, -202, -207, 
##     -215, -211, 137, 134, 134, 145, 139, 142, 142, 145, 146, 
##     142, 143, 142, 143, 140, 140, 137, 134, 133, 140, 138, 143, 
##     143, 152, 161, 149, 153, 162, 164, 176, 169, 167, 168, 152, 
##     160, 157, 158, 154, 149, 158, 166, 167, 165, 161, 158, 161, 
##     163, 159, 156, 157, 159, 160, 162, 153, 157, 164, 149, 156, 
##     159, 160, 149, 156, 159, 154, 159, 181, 175, 177, 173, 184, 
##     183, 174, 187, 175, 178, 169, 161, 157, 164, 151, 131, 121, 
##     116, 121, 122, 130, 128, 121, 124, 131, 135, 158, 159, 169, 
##     165, 168, 168, 176, 174, 172, 174, 177, 178, 170, 179, 171, 
##     169, 169, 172, 173, 169, 171, 164, 168, 170, 174, 171, 170, 
##     172, 169, 162, 174, 175, 163, 169, 178, 170, 171, 167, 177, 
##     167, 176, 174, 181, 175, 175, 173, 180, 185, 184, 175, 181, 
##     180, 181, 186, 182, 175, 180, 175, 176, 177, 174, 176, 174, 
##     170, 171, 173, 175, 179, 183, 176, 178, 174, 177, 175, 171, 
##     179, 172, 178, 170, 177, 172, 169, 173, 184, 173, 167, 180, 
##     174, 172, 184, 177, 174, 173, 187, 188, 186, 204, 215, 232, 
##     259, 272, 275, 294, 314, 363, 403, 405, 407, 410, 411, 402, 
##     405, 408, 407, 402, 405, 399, 402, 406, 414, 405, 405, 410, 
##     407, 416, 413, 409, 414, 413, 406, 415, 403, 391, 388, 382, 
##     342, 310, 286, 276, 185, 160, 110, 88, 38, 9, -49, -84, -130, 
##     -141, -159, -175, -180, -180, -176, -166, -159, -128, -121, 
##     -92, -40, -11, 153, 296, 323, 349, 383, 397, 412, 428, 435, 
##     429, 425, 422, 425, 418, 417, 411, 387, 378, 352, 289, 252, 
##     129, 61, -22, -58, -110, -123, -155, -170, -182, -170, -166, 
##     -136, -111, -61, 13, 127, 149, 193, 253, 339, 356, 400, 416, 
##     440, 432, 425, 432, 425, 422, 416, 387, 374, 350, 296, 445, 
##     425, 412, 407, 383, 366, 340, 295, 246, 113, 43, -22, -62, 
##     -135, -147, -165, -153, -154, -129, -45, 6, 87, 144, 177, 
##     254, 291, 373, 375, 418, 430, 427, 428, 424, 436, 428, 436, 
##     428, 422, 439, 446, 443, 433, 444, 355, 348, 257, 195, 176, 
##     46, 1, -46, -110, -141, 385, 370, 254, 81, 56, 19, -6, -43, 
##     -59, -98, -135, -175, -187, -199, -199, -198, -189, -183, 
##     -173, -167, -151, -121, -47, 13, 62, 125, 257, 324, 345, 
##     366, 438, 441, 441, 410, 352, 328, 290, 232, 88, 62, -7, 
##     -132, -137, -159, 176, 155, 150, 146, 136, 117, 113, 124, 
##     110, 106, 100, 84, 49, -17, -31, -54, -59, -74, -79, -73, 
##     -71, -73, -76, -76, -77, -80, -56, -62, -59, -56, -55, -41, 
##     -30, -13, -4, 11, -5, 12, 18, 34, 28, 89, 94, 93, 107, 101, 
##     135, 133, 141, 148, 160, 155, 159, 165, 167, 157, 148, 151, 
##     144, 148, 139, 149, 138, 154, 151, 150, 156, 153, 137, 127, 
##     125, 114, 91, 81, 57, 45, 6, -8, -36, -39, -45, -55, -90, 
##     -87, -83, -89, -79, -77, -79, -64, -50, -24, -6, 9, 37, 48, 
##     56, 62, 76, 87, 100, 125, 125, 130, 134, 110, 117, 101, 103, 
##     119, 120, 115, 110, 102, 108, 104, 105, 112, 109, 110, 115, 
##     96, 108, 97, 93, 75, 67, 61, 41, -45, -48, -72, -77, -89, 
##     -85, -87, -90, -92, -92, -102, -92, -96, -86, -76, -77, -74, 
##     -70, -34, 21, 57, 79, 110, 121, 155, 147, 153, 143, 158, 
##     175, 168, 162, 156, 160, 172, 162, 162, 152, 153, 153, 149, 
##     142, 139, 136, 125, 116, 95, 92, 63, 33, 4, -40, -49, -48, 
##     -57, -60, -65, -74, -85, -93, -96, -104, -114, -118, -109, 
##     -109, -105, -108, -89, -97, -88, -89, -91, -86, -82, -89, 
##     -79, -68, -57, -51, -20, -12, 18, 32, 75, 161, 258, 294, 
##     369, 370, 346, 339, 330, 332, 326, 345, 347, 360, 362, 365, 
##     362, 359, 361, 367, 368, 374, 378, 361, 361, 353, 351, 394, 
##     397, 407, 408, 409, 408, 400, 400, 397, 399, 400, 394, 399, 
##     381, 378, 374, 365, 368, 355, 348, 351, 348, 328, 326, 323, 
##     321, 326, 315, 318, 319, 311, 319, 318, 311, 318, 310, 315, 
##     308, 303, 309, 294, 301, 310, 297, 304, 321, 308, 272, 259, 
##     179, 145, 138, 108, 69, 42, 21, 17, -6, -61, -87, -95, -99, 
##     -112, -97, -95, -98, -90, -87, -78, -76, -76, -93, -91, -89, 
##     -95, -97, -105, -106, -101, -97, -50, -30, 2, 15, 57, 104, 
##     123, 273, 269, 258, 258, 255, 212, 124, 112, 105, 73, 55, 
##     47, -42, -61, -83, -93, -98, -139, -144, -166, -162, -157, 
##     -161, -152, -159, -164, -165, -173, -173, -125, -97, -80, 
##     -53, -31, 18, 49, 153, 191, 205, 241, 243, 262, 290, 304, 
##     301, 320, 324, 322, 338, 331, 332, 360, 360, 365, 307, 303, 
##     309, 296, 308, 304, 288, 270, 247, 236, 206, 183, 144, 119, 
##     111, 67, 55, 7, -14, -42, -57, -63, -87, -114, -127, -143, 
##     -159, -149, -142, -145, -142, -154, -158, -162, -160, -157, 
##     -150, -160, -158, -150, -141, 393, 397, 402, 387, 388, 378, 
##     361, 354, 346, 333, 338, 330, 327, 319, 188, 124, 88, -14, 
##     -36, -36, -47, -73, -134, -119, -81, -65, -48, -28, 25, 36, 
##     64, 120, 132, 172, 207, 274, 337, 383, 385, 393, 242, 239, 
##     260, 265, 288, 305, 305, 321, 341, 342, 344, 388, 397, 400, 
##     385, 364, 366, 331, 300, 304, 296, 298, 300, 309, 319, 301, 
##     282, 350, 350, 356, 356, 354, 353, 355, 354, 362, 352, 356, 
##     369, 375, 373, 386, 375, 389, 391, 387, 394, 342, 316, 300, 
##     267, 242, 238, 184, 151, 100, 17, -37, -135, -162, -179, 
##     -205, -233, -249, -245, -241, -215, -198, -39, 117, 178, 
##     252, 284, 336, 363, 376, 374, 368, 365, 341, 350, 77, 254, 
##     267, 317, 333, 362, 382, 375, 352, 349, 348, 341, 335, 330, 
##     330, 330, 335, 333, 345, 345, 347, 330, 326, 313, 295, 257, 
##     234, 226, 56, 20, -16, -42, -145, -246, -253, -226, -218, 
##     -161, -146, -38, 22, 103, 164, 192, 237, 266, 293, 281, 300, 
##     341, 357, 373, 388, 385, 370, 343, 340, 329, 323, 319, 322, 
##     326, 334, 329, 357, 354, 349, 340, 325, 318, 305, 292, 272, 
##     209, 173, 157, 37, 7, -7, -36, -56, -118, -138, -171, -203, 
##     -216, -222, -210, -205, -140, -79, -34, 46, 127, 296, 322, 
##     328, 340, 352, 383, 390, 15, 39, 101, 131, 180, 248, 293, 
##     303, 315, 315, 326, 340, 357, 371, 378, 382, 372, 348, 334, 
##     320, 325, 315, -227, -223, -198, -110, -50, -5, 24, 76, 164, 
##     200, 242, 259, 251, 251, 252, 269, 322, 329, 335, 347, 333, 
##     336, 329, 323, 314, 315, 314, 304, 311, 310, 289, 248, 192, 
##     163, 119, 105, -21, -68, -121, -209, -241, -270, -299, -311, 
##     -327, -323, 379, 401, 389, 389, 391, 393, 389, 394, 393, 
##     398, 396, 422, 420, 418, 417, 414, 425, 431, 418, 423, 426, 
##     425, 414, 418, 417, 421, 420, 425, 423, 432, 422, 422, 418, 
##     418, 415, 418, 420, 404, 394, 391, -167, -164, -150, -118, 
##     -112, -57, -13, 62, 130, 220, 264, 283, 336, 368, 410, 424, 
##     442, 448, 458, 450, 456, 444, 452, 448, 437, 433, 443, 429, 
##     388, 378, 295, 176, 155, 115, 89, 37, -24, -67, -153, -173, 
##     -171, -171, -124, -79, -61, -13, 85, 160, 183, 238, 92, 108, 
##     122, 143, 185, 195, 205, 225, 251, 255, 255, 255, 243, 240, 
##     253, 252, 259, 223, 166, 169, 163, -136, -126, -114, -89, 
##     -72, -57, 53, 122, 143, 189, 246, 271, 304, 322, 355, 377, 
##     433, 446, 437, 438, 441, 434, 430, 432, 408, 365, 334, 315, 
##     284, 268, 225, 209, 128, -77, -129, -131, -125, -119, -110, 
##     -107, -78, -43, 7, 56, 67, 110, 194, 214, 234, 302, 317, 
##     277, 238, 150, -51, -73, -99, -138, -141, -145, -139, -131, 
##     -120, -123, -92, -72, -44, 14, 38, 77, 147, 277, 368, 398, 
##     416, 449, 451, 156, 147, 157, 153, 158, 148, 158, 155, 152, 
##     149, 156, 148, 152, 152, 151, 154, 162, 154, 152, 154, 148, 
##     159, 157, 166, 164, 154, 168, 163, 158, -208, -208, -183, 
##     -174, -165, -129, -102, -97, -72, -43, -4, 15, 29, 52, 56, 
##     75, 84, 85, 92, 87, 82, 70, -224, -218, -183, -152, 0, 25, 
##     27, 107, 150, 159, 188, 195, 213, 214, 220, 203, 192, 175, 
##     168, 157, 146, 137, 123, 93, 57, 79, 85, 118, 131, 148, 176, 
##     192, 219, 236, 251, 284, 294, 300, 297, 300, 293, 288, 291, 
##     274, 285, 286, 286, 258, 246, 249, -311, -305, -279, -170, 
##     -98, 244, 304, 391, 383, 391, 395, 377, 375, 377, 371, 370, 
##     370, 370, 364, 376, 376, 381, 383, 395, 392, 397, 395, 384, 
##     392, 388, 319, 331, 340, 342, 348, 344, 347, 342, 305, 294, 
##     279, 234, 214, 87, 48, -21, -67, -89, -141, -239, -248, -262, 
##     -265, 378, 374, 354, 339, 321, 322, 337, 346, 347, 341, 343, 
##     301, 283, 161, 56, 30, -140, -170, -217, -204, -184, -82, 
##     346, 345, 356, 361, 364, 366, 360, 353, 324, 309, 269, 222, 
##     195, 146, 94, -7, -53, -110, -193, -208, -230, -239, -238, 
##     -236, -240, -209, 67, 115, 206, 225, 247, 269, 286, 297, 
##     318, 336, 343, 346, 348, 353, 349, 347, 349, 327, 330, 313, 
##     304, 299, 305, 315, -288, -291, -265, -263, -268, -274, -282, 
##     -288, -289, -292, -337, -324, -314, -175, -101, -42, -13, 
##     79, 100, 165, 189, 285, 286, 314, 117, 160, 175, 215, 249, 
##     281, 289, 305, 304, 307, 305, 294, 287, 284, 267, 258, 237, 
##     196, 149, 59, 22, -120, -170, -188, -204, -224, -275, -266, 
##     -315, -290, -271, -250, -261, -274, -258, -263, -276, -278, 
##     -308, -317, -330, -345, -348, -347, -319, -279, -208, -140, 
##     -242, -183, -176, -150, -108, -84, -68, -26, 54, 129, 219, 
##     223, 222, 250, 258, 278, 301, 317, 332, 322, 343, 343, 350, 
##     346, 352, 358, 346, 345, 355, 327, 326, 309, 306, 243, 200, 
##     181, 138, 49, 26, 6, -16, -106, -127, -138, -144, -150, -159, 
##     -158, -158, -138, -134, -112, -103, -91, -84), magnet_arm_z = c(516, 
##     513, 513, 512, 506, 513, 509, 510, 518, 516, 509, 520, 509, 
##     523, 510, 509, 512, 510, 509, 514, 513, 510, 509, 516, 512, 
##     511, 505, 532, 514, 523, 512, 528, 508, 512, 514, 515, 515, 
##     507, 510, 514, 510, 500, 507, 516, 515, 508, 506, 513, 508, 
##     515, 505, 505, 508, 533, 518, 519, 513, 518, 521, 510, 525, 
##     511, 514, 504, 510, 511, 513, 518, 507, 526, 510, 510, 515, 
##     510, 513, 510, 510, 523, 516, 517, 515, 516, 507, 517, 514, 
##     511, 511, 525, 523, 513, 514, 506, 515, 514, 512, 512, 513, 
##     510, 527, 515, 525, 518, 510, 507, 513, 515, 517, 520, 511, 
##     514, 513, 517, 521, 515, 511, 512, 510, 507, 517, 523, 518, 
##     519, 519, 511, 514, 512, 521, 513, 516, 514, 510, 515, 514, 
##     515, 511, 511, 535, 515, 512, 521, 515, 512, 514, 515, 510, 
##     514, 521, 514, 530, 511, 519, 516, 509, 512, 509, 510, 515, 
##     515, 513, 511, 510, 510, 518, 512, 527, 460, 461, 454, 450, 
##     455, 450, 452, 450, 469, 460, 459, 451, 458, 455, 459, 455, 
##     469, 446, 455, 447, 461, 450, 452, 447, 449, 450, 449, 449, 
##     452, 451, 452, 457, 443, 450, 455, 445, 454, 449, 456, 452, 
##     455, 454, 454, 494, 496, 493, 505, 493, 500, 499, 490, 496, 
##     507, 494, 497, 508, 501, 494, 492, 504, 504, 522, 511, 507, 
##     515, 508, 509, 506, 512, 508, 508, 500, 499, 501, 506, 517, 
##     505, 505, 501, 503, 511, 497, 510, 496, 496, 505, 495, 489, 
##     491, 502, 490, 489, 483, 491, 494, 492, 486, 490, 492, 491, 
##     497, 497, 495, 503, 511, 519, 518, 520, 526, 544, 550, 558, 
##     554, 561, 562, 567, 580, 588, 598, 596, 596, 593, 606, 577, 
##     570, 562, 554, 535, 523, 422, 407, 381, 267, 242, 169, 138, 
##     3, -75, -107, -149, -145, -104, -101, -58, 5, 42, 88, 191, 
##     250, 255, 313, 342, 384, 433, 482, 491, 522, 593, 587, 560, 
##     508, 487, 477, 480, 477, 481, 488, 494, 503, 506, 508, 521, 
##     534, 582, 579, 619, 610, 597, 583, 582, 549, 527, 480, 460, 
##     404, 372, 340, 121, 84, 56, -53, -74, -99, -119, -128, -116, 
##     -30, -19, 36, 59, 77, 102, 136, 157, 185, 210, 238, 277, 
##     294, 434, 489, 524, 543, 590, 450, 442, 366, 309, 233, 136, 
##     85, 43, -11, -35, -71, -126, -131, -159, -140, -108, -103, 
##     -28, -23, 112, 171, 255, 295, 304, 348, 349, 370, 398, 463, 
##     534, 540, 541, 553, 561, 543, 524, 523, 509, 501, 493, 484, 
##     470, 473, 460, 456, 459, 462, 470, 471, 476, 486, 491, 512, 
##     508, 529, 546, 548, 565, 561, 566, 563, 581, 575, 541, 531, 
##     517, 480, 404, 402, 367, 309, 287, 192, 185, 104, 67, -5, 
##     -62, -104, -119, -144, -164, -188, -204, -204, -163, -74, 
##     59, 281, 321, 329, 365, 428, 453, 457, 501, 523, 533, 555, 
##     547, 547, 541, 533, 535, 538, 519, 515, 507, 497, 492, 484, 
##     486, 487, 497, 505, 518, 525, 567, 574, 577, 601, 592, 593, 
##     577, 565, 574, 541, 498, 508, 539, 536, 539, 543, 549, 558, 
##     567, 566, 545, 525, 517, 475, 465, 476, 489, 504, 525, 541, 
##     547, 559, 571, 576, 593, 581, 575, 555, 548, 458, 418, 412, 
##     284, 163, -37, -76, -101, -111, -106, -72, -38, -19, 10, 
##     31, 61, 104, 177, 214, 226, 259, 295, 312, 409, 491, 498, 
##     559, 563, 574, 579, 542, 546, 518, 515, 501, 504, 497, 500, 
##     507, 515, 528, 520, 546, 559, 563, 579, 583, 543, 512, 433, 
##     377, 357, 278, 180, 66, 16, -18, -61, -47, -31, 38, 71, 136, 
##     522, 523, 523, 541, 581, 590, 578, 581, 567, 549, 537, 475, 
##     432, 388, 303, 278, 226, 185, 121, 83, 62, -2, -43, -61, 
##     -88, -85, -66, -32, -1, 481, 495, 486, 494, 503, 504, 534, 
##     539, 542, 542, 560, 566, 548, 530, 501, 426, 370, 311, 301, 
##     145, 101, -134, -42, -26, 19, 32, 75, 137, 152, 297, 494, 
##     435, 414, 382, 355, 292, 155, 131, 81, 26, -108, -157, -176, 
##     -167, -153, -128, -91, -43, 10, 13, 81, 275, 326, 408, 472, 
##     474, 496, 503, 516, 513, 513, 527, 540, 534, 530, 526, 140, 
##     164, 213, 229, 271, 314, 387, 436, 502, 544, 578, 596, 615, 
##     612, 621, 624, 641, 645, 649, 652, 648, 655, 653, 636, 630, 
##     626, 639, 631, 629, 630, 631, 633, 636, 639, 643, 659, 641, 
##     647, 651, 655, 662, 671, 665, 666, 651, 667, 656, 659, 665, 
##     657, 669, 654, 663, 661, 661, 667, 664, 660, 676, 663, 671, 
##     663, 665, 669, 675, 665, 666, 664, 657, 663, 658, 657, 652, 
##     656, 643, 645, 648, 641, 638, 647, 644, 639, 626, 626, 599, 
##     584, 567, 577, 580, 596, 597, 595, 587, 591, 589, 604, 588, 
##     606, 591, 598, 595, 589, 602, 588, 592, 591, 588, 592, 586, 
##     592, 576, 578, 580, 579, 580, 569, 570, 568, 567, 572, 578, 
##     566, 580, 555, 560, 563, 567, 556, 560, 553, 558, 557, 559, 
##     563, 562, 560, 560, 558, 559, 558, 563, 555, 558, 555, 555, 
##     561, 557, 562, 556, 567, 564, 556, 558, 556, 558, 548, 553, 
##     551, 551, 556, 561, 550, 551, 555, 541, 557, 548, 544, 549, 
##     540, 546, 543, 547, 554, 545, 548, 541, 561, 543, 539, 538, 
##     538, 533, 531, 530, 526, 525, 534, 518, 526, 522, 530, 518, 
##     522, 527, 526, 527, 544, 530, 534, 528, 538, 539, 543, 538, 
##     543, 546, 551, 555, 554, 558, 570, 569, 567, 634, 647, 666, 
##     670, 669, 650, 636, 618, 608, 578, 551, 522, 469, 396, 355, 
##     256, 211, 72, 550, 554, 566, 582, 573, 575, 588, 577, 579, 
##     582, 575, 577, 578, 596, 578, 592, 583, 595, 587, 590, 587, 
##     598, 594, 593, 590, 600, 607, 590, 597, 596, 605, 606, 617, 
##     623, 629, 632, 647, 646, 643, 643, 641, 647, 653, 647, 154, 
##     157, 150, 142, 138, 122, 121, 109, 100, 86, 79, 65, 62, 56, 
##     51, 60, 71, 80, 652, 659, 656, 644, 643, 649, 640, 647, 642, 
##     653, 652, 643, 647, 659, 651, 647, 649, 642, 650, 646, 650, 
##     645, 645, 648, 640, 651, 649, 649, 646, 644, 642, 641, 640, 
##     637, 654, 635, 642, 659, 641, 652, 650, 641, 649, 640, 639, 
##     645, 642, 641, 638, 635, 639, 640, 647, 644, 635, 634, 626, 
##     631, 631, 642, 630, 631, 635, 629, 635, 631, 629, 624, 632, 
##     639, 642, 659, 646, 651, 644, 646, 648, 647, 635, 653, 641, 
##     663, 665, 661, 670, 661, 652, 667, 648, 660, 664, 652, 650, 
##     670, 657, 656, 668, 647, 657, 653, 655, 653, 656, 648, 653, 
##     661, 647, 657, 660, 667, 657, 657, 651, 651, 646, 650, 645, 
##     649, 647, 646, 657, 641, 645, 662, 641, 638, 638, 634, 628, 
##     638, 632, 628, 636, 634, 631, 641, 625, 647, 639, 632, 644, 
##     646, 631, 624, 635, 622, 629, 631, 628, 603, 583, 564, 563, 
##     574, 609, 590, 595, 602, 586, 590, 576, 597, 591, 588, 588, 
##     592, 587, 588, 583, 584, 584, 580, 577, 585, 586, 593, 600, 
##     594, 583, 597, 578, 582, 592, 584, 582, 577, 583, 577, 572, 
##     576, 576, 573, 589, 581, 580, 590, 611, 620, 611, 610, 625, 
##     609, 614, 604, 608, 615, 621, 603, 600, 598, 603, 607, 617, 
##     601, 595, 415, 387, 346, 265, 222, 153, 137, 77, 37, -21, 
##     -64, -77, -111, -133, -170, -188, -210, -217, -225, -223, 
##     -217, -241, -241, -232, -207, -217, -185, -144, -112, 108, 
##     130, 198, 218, 271, 350, 414, 454, 492, 504, 538, 553, 569, 
##     592, 614, 613, 616, 620, 638, 638, 642, 650, 640, 628, 621, 
##     615, 629, 604, 615, 605, 611, 599, 600, 606, 598, 600, 603, 
##     602, 600, 608, 607, 607, 615, 634, 629, -206, -203, -203, 
##     -197, -191, -168, -140, -87, -62, -32, 59, 63, 134, 185, 
##     247, 260, 320, 348, 400, 414, 429, 451, 472, 477, 517, 585, 
##     598, 616, 619, 633, 633, 635, 641, 640, 642, 617, 605, 618, 
##     600, 601, 608, 610, 594, 591, 596, 590, 589, 594, 598, 592, 
##     601, 643, 637, 629, 621, 607, 591, 576, 555, 479, 381, 323, 
##     284, 232, 182, 91, 39, -47, -75, -97, -100, -109, -139, -136, 
##     -150, -157, -154, -171, -168, -174, -166, -179, -192, -190, 
##     -187, -191, -189, -166, -150, -131, -96, -76, -56, -21, 14, 
##     92, 168, 224, 299, 331, 342, 390, 415, 432, 496, 532, 539, 
##     570, 604, 608, 615, 614, 620, 629, 625, 638, 633, 612, 622, 
##     614, 607, 607, 610, 602, 613, 603, 607, 592, 612, 589, 596, 
##     593, 607, 589, 599, 619, 636, 648, 655, 639, 640, 627, 577, 
##     567, 528, 423, 271, 239, 149, 79, 68, 39, -7, -41, -83, -91, 
##     -101, -131, -132, -143, -152, -158, -150, -149, -149, -128, 
##     -110, -115, -90, -82, -56, -39, 8, 24, 110, 167, 227, 248, 
##     278, 300, 350, 361, 399, 484, 497, 516, 550, 566, 574, 584, 
##     593, 598, 588, 585, 589, 590, 589, 585, 580, 579, 561, 554, 
##     547, 545, 546, 552, 554, 558, 586, 594, 609, 607, 620, 599, 
##     590, 524, 496, 466, 447, 400, 236, 259, 454, 469, 501, 544, 
##     579, 582, 591, 602, 593, 596, 600, 591, 585, 593, 584, 581, 
##     581, 578, 570, 586, 568, 565, 571, 574, 581, 564, 587, 574, 
##     609, 635, 624, 636, 628, 633, 624, 604, 577, 559, 510, 407, 
##     401, 325, 168, 123, 105, 55, 33, 12, 9, -13, -53, -127, -143, 
##     -155, -171, -175, -181, -179, -176, -177, -180, -177, -180, 
##     -181, -180, -167, -180, -173, 59, 95, 164, 203, 239, 263, 
##     301, 314, 394, 399, 445, 463, 487, 502, 556, 557, 570, 573, 
##     588, 593, -79, -94, -109, -158, -151, -159, -172, -157, -172, 
##     -180, -177, -166, -181, -179, -184, -180, -163, -173, -173, 
##     -170, -175, -162, -164, -150, -148, -136, -116, -99, -66, 
##     -24, 29, 78, 107, 123, 619, 615, 612, 607, 597, 595, 612, 
##     598, 602, 599, 589, 590, 588, 591, 588, 593, 608, 592, 598, 
##     607, 597, 608, 613, 595, 597, 594, 597, 593, 600, 603, 595, 
##     597, 610, 603, 596, 600, 612, 595, 596, 612, 594, 604, 603, 
##     609, 605, 599, 607, 617, 606, 615, 602, 608, 600, 603, 598, 
##     603, 599, 598, 589, 588, 591, 603, 606, 590, 597, 596, 607, 
##     596, 589, 587, 591, 596, 592, 595, 597, 591, 596, 596, 596, 
##     597, 589, 589, 597, 593, 592, 595, 591, 601, 592, 588, 597, 
##     597, 607, 608, 603, 594, 592, 605, 596, 596, 591, 598, 600, 
##     606, 599, 598, 595, 602, 587, 593, 593, 596, 588, 595, 607, 
##     591, 598, 586, 593, 590, 596, 607, 609, 590, 599, 589, 611, 
##     600, 611, 593, 602, 593, 595, 595, 602, 591, 587, 587, 603, 
##     596, 594, 587, 587, 593, 595, 590, 589, 599, 596, 583, 577, 
##     577, 572, 592, 589, 585, 583, 579, 579, 583, 581, 578, 570, 
##     583, 571, 575, 576, 570, 574, 574, 580, 577, 567, 571, 568, 
##     567, 577, 572, 577, 597, 640, 657, 663, 646, 647, 609, 600, 
##     572, 551, 509, 448, 419, 365, 291, 233, 202, 160, 90, 64, 
##     -16, -117, -183, -258, -311, -190, 611, 582, 591, 579, 575, 
##     590, 564, 576, 554, 547, 538, 551, 547, 555, 554, 572, 585, 
##     583, 616, 626, 645, 648, 648, 642, 647, 638, 564, 505, 483, 
##     393, 317, 219, 162, 77, -69, -100, -333, -343, -388, -421, 
##     -417, -451, -438, -420, -409, -371, -362, -286, -259, -180, 
##     -156, -122, -21, -2, 92, 142, 183, 532, 539, 534, 533, 532, 
##     537, 535, 549, 551, 552, 566, 568, 604, 621, 646, 636, 616, 
##     606, 559, 527, 333, 151, 18, -96, -135, -182, -280, -333, 
##     -361, -375, -375, -403, -359, -357, -345, -189, -142, -97, 
##     -66, -21, 86, 143, 193, 276, 407, 418, 452, -436, -449, -430, 
##     -396, -378, -298, -291, -260, -216, -75, 25, 54, 139, 186, 
##     239, 268, 342, 429, 466, 498, 513, 572, 586, 592, 576, 577, 
##     569, 523, 507, 517, 502, 487, 494, 494, 494, 501, 492, 497, 
##     502, 507, 516, 559, 557, 573, 591, 624, 618, 623, 610, 527, 
##     502, 460, 443, 398, 373, 331, 237, 179, 170, 91, 34, -60, 
##     -189, -350, -422, -404, -398, -367, -286, -189, -93, -3, 
##     68, 134, 231, 284, 338, 361, 400, 444, 559, 588, 594, 606, 
##     614, 612, 594, 578, 568, 564, 565, 570, 548, 547, 545, 538, 
##     532, 529, 521, 523, 520, 524, 528, 525, 532, 551, 566, 619, 
##     621, 645, 638, 638, 620, 519, 441, 421, 205, 99, -4, -56, 
##     -72, -147, -213, -301, -357, -390, -409, -419, -426, -440, 
##     -433, -419, -404, -393, -379, 582, 576, 551, 540, 540, 544, 
##     513, 513, 497, 499, 499, 513, 502, 502, 502, 512, 510, 517, 
##     513, 522, 552, 558, 569, 598, 610, 622, 632, 628, 614, 583, 
##     487, 372, 287, 227, 188, 130, 79, -7, -47, -207, -441, -420, 
##     -424, -401, -348, -170, -44, 28, 161, 220, 301, 354, 387, 
##     490, 515, 581, 590, 609, 618, 628, 622, 631, 616, 608, 585, 
##     573, 541, 531, 535, 510, 509, 512, 509, 519, 514, 519, 526, 
##     530, 545, 575, 588, 621, 628, 635, 642, 650, 622, 557, 488, 
##     287, 165, 69, -90, -172, -226, -246, -300, -377, -405, -420, 
##     -426, -377, -338, -307, -290, -130, -81, -38, 62, 92, 280, 
##     344, 380, 451, 474, 588, 597, 623, 618, 562, 551, 522, 513, 
##     523, 535, 620, 618, 603, 596, 598, 579, 562, 553, 500, 441, 
##     311, 266, 194, 119, 61, 7, -18, -58, -95, -148, -263, -308, 
##     -326, -385, -411, -422, -410, -383, -360, -323, -239, 356, 
##     351, 349, 339, 341, 332, 343, 343, 336, 348, 351, 354, 351, 
##     340, 350, 349, 361, 347, 357, 342, 345, 340, 342, 346, 352, 
##     368, 339, 352, 348, 347, 348, 355, 343, 341, 341, 339, 342, 
##     345, 346, 342, 342, 333, 342, 341, 338, 332, 333, 329, 331, 
##     336, 339, 343, 345, 340, 348, 332, 327, 339, 334, 334, 328, 
##     341, 331, 336, 327, 327, 337, 340, 333, 346, 346, 348, 359, 
##     363, 355, 351, 363, 351, 347, 355, 351, 365, 371, 358, 374, 
##     345, 356, 357, 356, 353, 362, 360, 356, 355, 366, 357, 363, 
##     354, 361, 358, 355, 369, 353, 365, 355, 359, 358, 355, 360, 
##     354, 353, 368, 345, 353, 357, 358, 357, 350, 354, 346, 361, 
##     354, 355, 360, 347, 347, 366, 356, 354, 353, 360, 352, 352, 
##     353, 348, 356, 350, 351, 352, 361, 355, 353, 354, 350, 354, 
##     345, 351, 348, 361, 355, 350, 349, 354, 353, 356, 352, 356, 
##     356, 360, 351, 363, 354, 348, 352, 347, 349, 344, 353, 348, 
##     351, 352, 347, 346, 349, 356, 349, 353, 345, 345, 350, 343, 
##     344, 346, 339, 335, 339, 353, 347, 353, 341, 342, 336, 344, 
##     346, 338, 339, 348, 349, 354, 354, 344, 346, 350, 351, 347, 
##     357, 353, 357, 341, 355, 338, 344, 342, 339, 346, 346, 353, 
##     351, 348, 350, 350, 343, 346, 354, 350, 347, 350, 336, 359, 
##     345, 341, 335, 350, 352, 342, 339, 346, 347, 354, 336, 349, 
##     355, 347, 347, 342, 341, 339, 339, 354, 342, 345, 337, 337, 
##     339, 344, 337, 336, 337, 367, 352, 356, 344, 347, 360, 348, 
##     346, 352, 358, 355, 358, 351, 361, 356, 358, 353, 362, 360, 
##     359, 351, 352, 357, 358, 353, 366, 356, 353, 358, 354, 363, 
##     367, 368, 374, 372, 378, 379, 389, 386, 364, 366, 380, 394, 
##     391, 396, 399, 403, 390, 394, 382, 383, 387, 382, 386, 392, 
##     392, 398, 390, 398, 384, 380, 383, 388, 381, 382, 383, 397, 
##     379, 390, 390, 397, 399, 400, 398, 387, 394, 396, 396, 407, 
##     396, 391, 396, 390, 395, 405, 406, 400, 412, 407, 399, 397, 
##     403, 399, 402, 403, 408, 519, 507, 517, 520, 513, 533, 527, 
##     510, 512, 522, 514, 514, 524, 516, 515, 510, 515, 511, 527, 
##     512, 514, 519, 515, 525, 515, 526, 519, 518, 515, 532, 524, 
##     513, 514, 521, 528, 515, 532, 516, 519, 529, 510, 518, 529, 
##     532, 512, 514, 515, 529, 517, 517, 531, 537, 529, 518, 514, 
##     517, 512, 533, 515, 510, 520, 512, 514, 521, 524, 515, 514, 
##     509, 512, 513, 511, 510, 513, 510, 512, 530, 522, 511, 511, 
##     516, 511, 511, 522, 509, 513, 523, 515, 518, 511, 512, 514, 
##     518, 514, 513, 518, 518, 517, 509, 515, 522, 533, 510, 512, 
##     515, 511, 511, 514, 513, 511, 511, 512, 515, 509, 515, 520, 
##     512, 514, 520, 522, 517, 522, 513, 512, 510, 513, 510, 515, 
##     512, 512, 526, 518, 514, 507, 509, 515, 513, 508, 524, 513, 
##     507, 506, 510, 525, 523, 509, 513, 529, 519, 506, 513, 510, 
##     511, 514, 512, 508, 510, 515, 513, 512, 511, 509, 509, 506, 
##     514, 508, 513, 521, 513, 512, 508, 510, 532, 513, 525, 514, 
##     515, 537, 520, 515, 510, 513, 510, 522, 519, 515, 525, 503, 
##     507, 505, 507, 510, 512, 509, 509, 513, 517, 509, 511, 510, 
##     506, 515, 512, 514, 524, 508, 511, 511, 505, 510, 509, 510, 
##     509, 506, 512, 512, 521, 514, 507, 506, 510, 515, 515, 510, 
##     510, 511, 511, 521, 523, 527, 514, 532, 508, 503, 514, 526, 
##     509, 517, 515, 505, 510, 506, 523, 511, 523, 532, 516, 515, 
##     512, 511, 512, 530, 505, 516, 514, 529, 511, 531, 513, 515, 
##     517, 515, 534, 515, 512, 531, 514, 516, 513, 518, 513, 517, 
##     524, 521, 517, 513, 513, 514, 512, 514, 529, 527, 537, 518, 
##     512, 535, 521, 534, 532, 517, 519, 534, 515, 520, 523, 519, 
##     523, 533, 517, 522, 527, 525, 522, 537, 525, 523, 522, 522, 
##     515, 528, 523, 524, 520, 528, 531, 534, 538, 528, 543, 534, 
##     551, 564, 576, 599, 604, 620, 612, 635, 643, 623, 623, 616, 
##     606, 567, 544, 516, 442, 375, 291, 286, 222, 169, 134, 75, 
##     28, -11, -25, -96, -104, -122, -168, -186, -228, -246, -266, 
##     -285, -309, -321, -322, -315, -305, -284, -275, -251, -196, 
##     -170, -133, -89, -48, 19, 75, 146, 212, 229, 255, 270, 387, 
##     413, 430, 543, 558, 565, 597, 599, 595, 594, 590, 580, 580, 
##     580, 567, 556, 554, 537, 523, 502, 494, 495, 505, 504, 535, 
##     552, 556, 570, 580, 584, 591, 591, 598, 592, 569, 544, 537, 
##     439, 425, 308, 254, 220, 151, 108, 51, 3, -7, -53, -92, -102, 
##     -164, -202, -227, -239, -249, -269, -274, -275, -271, -230, 
##     -169, -155, -95, -33, -24, 26, 141, 153, 268, 320, 392, 477, 
##     537, 554, 7, -17, -53, -140, -205, -239, -248, -249, -219, 
##     -222, -213, -165, -122, 9, 40, 143, 202, 212, 290, 318, 374, 
##     417, 448, 485, 485, 515, 544, 558, 576, 578, 540, 523, 505, 
##     494, 481, 482, 492, 487, 491, 512, 522, 520, 543, 560, 547, 
##     562, 548, 538, 534, 543, 376, 336, 278, 239, 186, 166, 123, 
##     92, 63, 41, -27, -160, -200, -227, -232, -234, -245, -224, 
##     -196, -183, -175, -106, -39, -34, -6, 22, 50, 68, 106, 128, 
##     171, 238, 254, 286, 404, 456, 464, 496, 504, 531, 536, 538, 
##     553, 565, 591, 591, 592, 588, 605, 588, 559, 494, 497, 504, 
##     518, 555, 571, 579, 583, 584, 569, 559, 552, 542, 477, 455, 
##     424, 338, 300, 166, 130, 82, -87, -128, -184, -215, -241, 
##     -248, -255, -251, -190, -174, -97, -57, 36, 206, 302, 341, 
##     368, 416, 444, 461, 492, 518, 532, 550, 564, 571, 579, 576, 
##     590, 573, 560, 548, 544, 538, 499, 481, 479, 478, 494, 484, 
##     494, 506, 525, 547, 565, 586, 597, 582, 561, 444, 416, 394, 
##     271, 220, 204, 116, 99, 46, -75, -91, -148, -206, -225, -234, 
##     -191, -154, -123, 409, 419, 408, 409, 411, 411, 430, 402, 
##     407, 427, 411, 414, 409, 429, 423, 415, 433, 414, 422, 415, 
##     414, 415, 428, 425, 423, 439, 433, 431, 424, 427, 430, 437, 
##     433, 428, 433, 432, 418, 423, 424, 419, 419, 416, 415, 430, 
##     419, 418, 414, 417, 413, 410, 408, 409, 417, 410, 413, 419, 
##     412, 423, 411, 409, 406, 407, 409, 409, 405, 408, 403, 424, 
##     407, 412, 405, 404, 400, 418, 412, 407, 410, 419, 415, 421, 
##     406, 402, 410, 405, 411, 406, 410, 402, 408, 405, 402, 401, 
##     403, 406, 402, 400, 402, 403, 417, 407, 407, 405, 393, 401, 
##     397, 391, 391, 403, 395, 404, 407, 412, 400, 404, 399, 408, 
##     394, 405, 402, 413, 405, 413, 410, 401, 393, 400, 409, 403, 
##     398, 401, 404, 400, 397, 402, 398, 399, 389, 402, 403, 402, 
##     402, 400, 398, 399, 401, 395, 400, 394, 394, 394, 397, 407, 
##     393, 397, 397, 394, 397, 410, 398, 411, 399, 396, 400, 392, 
##     398, 404, 405, 396, 399, 400, 398, 399, 397, 414, 397, 393, 
##     397, 412, 393, 400, 414, 401, 412, 400, 394, 406, 408, 398, 
##     406, 400, 399, 391, 407, 411, 408, 400, 398, 404, 401, 396, 
##     397, 388, 389, 400, 393, 398, 397, 400, 399, 397, 404, 390, 
##     393, 391, 391, 392, 404, 391, 389, 394, 401, 396, 396, 389, 
##     398, 396, 397, 394, 394, 398, 398, 416, 404, 397, 394, 389, 
##     384, 390, 385, 386, 393, 398, 392, 395, 395, 391, 408, 395, 
##     407, 397, 403, 402, 392, 387, 400, 389, 397, 392, 394, 392, 
##     383, 384, 385, 384, 397, 384, 390, 390, 393, 391, 384, 389, 
##     388, 388, 385, 385, 386, 390, 392, 391, 397, 395, 396, 382, 
##     388, 383, 384, 389, 382, 381, 392, 382, 374, 381, 370, 371, 
##     378, 374, 372, 374, 376, 377, 373, 377, 378, 376, 387, 394, 
##     385, 387, 395, 382, 401, 387, 379, 378, 385, 382, 386, 382, 
##     389, 386, 392, 396, 392, 390, 391, 383, 390, 393, 387, 389, 
##     389, 391, 392, 398, 397, 401, 403, 399, 409, 411, 407, 413, 
##     425, 414, 409, 424, 414, 417, 414, 406, 408, 420, 410, 410, 
##     413, 413, 405, 415, 410, 407, 414, 410, 410, 409, 403, 410, 
##     413, 415, 413, 416, 409, 412, 407, 409, 403, 405, 407, 407, 
##     409, 410, 425, 414, 408, 414, 414, 425, 407, 408, 407, 408, 
##     411, 408, 415, 415, 413, 416, 415, 404, 418, 417, 416, 430, 
##     417, 425, 433, 430, 467, 493, 507, 537, 557, 541, 519, 488, 
##     399, 366, 282, 214, 149, 10, -3, -34, -53, -53, -75, -71, 
##     -99, -103, -113, -123, -109, -80, -46, -11, 28, 45, 110, 
##     183, 212, 291, 338, 459, 529, 556, 504, 491, 489, 450, 447, 
##     424, 425, 374, 373, 398, 405, 415, 426, 453, 483, 480, 506, 
##     514, 533, 534, 526, 502, 483, 459, 392, 335, 254, 214, 157, 
##     112, 93, 60, 32, -61, -100, -139, -145, -124, -88, -8, 7, 
##     44, 67, 103, 129, 171, 256, 300, 324, 391, 414, 433, 482, 
##     522, 526, 541, 546, 532, 506, 489, 443, 436, 408, 397, 382, 
##     389, 391, 437, 438, 489, 515, 520, 514, 487, 428, 413, 386, 
##     360, 309, 195, 95, -27, -43, -88, -96, -161, -136, -104, 
##     -94, -80, -51, 18, 66, 90, 207, 300, 355, 366, 458, 488, 
##     507, 522, 519, 509, 485, 439, 404, 397, 382, 389, 409, 408, 
##     432, 444, 449, 477, 491, 525, 526, 524, 522, 483, 441, 361, 
##     317, 257, 230, 163, 122, -8, -26, -81, -95, -141, -161, -172, 
##     -162, -155, -127, -40, -8, 15, 56, 125, 151, 207, 279, 428, 
##     518, 533, 545, 555, 550, 525, 502, 465, 462, 431, 406, 396, 
##     392, 387, 384, 406, 394, 416, 447, 456, 482, 502, 515, 524, 
##     532, 530, 527, 531, 520, 505, 470, 430, 410, 336, 227, 150, 
##     110, 89, 45, -112, -111, -68, -56, 35, 97, 263, 299, 454, 
##     486, 513, 549, 543, 533, 457, 430, 391, 392, 377, 385, 382, 
##     410, 410, 430, 473, 483, 494, 500, 518, 511, 513, 503, 479, 
##     446, 413, 314, 290, 268, 238, 151, 83, 72, -30, -72, -73, 
##     -84, -81, -27, 52, 86, 139, 177, 226, 263, 312, 349, 498, 
##     511, 530, 534, 533, 543, 528, 490, 440, 416, 376, 376, 367, 
##     367, 378, 394, 396, 417, 432, 450, 469, 479, 541, 520, 523, 
##     509, 468, 435, 423, 398, 265, 223, 111, 13, 8, -43, -47, 
##     -28, 4, 25, 40, 73, 88, 133, 173, 190, 218, 287, 389, 413, 
##     448, 465, 514, 517, 526, 512, 477, 458, 421, 404, 391, 402, 
##     398, 407, 415, 452, 472, 486, 518, 521, 512, 489, 341, 290, 
##     177, 160, 104, 22, 10, -47, -58, -60, 677, 663, 644, 583, 
##     599, 597, 598, 597, 594, 596, 591, 597, 601, 598, 596, 598, 
##     606, 596, 597, 607, 599, 599, 594, 599, 599, 598, 594, 592, 
##     598, 600, 607, 619, 636, 628, 627, 615, 621, 603, 599, 595, 
##     594, 596, 593, 604, 606, 615, 623, 615, 614, 618, 626, 622, 
##     621, 625, 637, 621, 625, 605, 556, 549, 405, 378, 295, 270, 
##     217, 147, 89, -23, -55, 599, 584, 597, 593, 598, 613, 601, 
##     599, 593, 591, 589, 582, 573, 581, 572, 575, 575, 586, 589, 
##     600, 600, 607, 622, 135, 76, -34, -73, -76, -84, -97, -97, 
##     -108, -110, -114, -106, -114, -114, -103, -82, -63, -35, 
##     17, 145, 654, 640, 631, 595, 546, 508, 447, 385, 239, 206, 
##     180, 85, 51, -8, -43, -136, -157, -173, -178, -188, -209, 
##     591, 593, 603, 595, 592, 609, 614, 616, 613, 619, 620, 623, 
##     642, 639, 665, 664, 662, 632, 623, 597, 502, 619, 632, 616, 
##     588, 594, 586, 576, 568, 565, 571, 572, 576, 589, 583, 572, 
##     575, 577, 582, 583, 639, 647, 624, 617, 621, 621, 635, 627, 
##     641, 626, 625, 631, 625, 621, 632, 633, 625, 629, 623, 631, 
##     641, 634, 625, 625, 623, 631, 629, 640, 644, 663, 666, 666, 
##     668, 679, 672, 665, 669, 655, 657, 520, 528, 519, 530, 531, 
##     525, 526, 524, 521, 520, 529, 521, 520, 517, 519, 526, 516, 
##     516, 513, 513, 516, 519, 525, 522, 530, 521, 521, 511, 512, 
##     514, 501, 499, 506, 504, 499, 520, 497, 501, 503, 500, 507, 
##     512, 508, 501, 504, 503, 499, 501, 510, 504, 507, 525, 504, 
##     510, 507, 509, 505, 504, 507, 522, 512, 505, 513, 508, 510, 
##     505, 507, 511, 508, 504, 506, 508, 519, 517, 502, 506, 521, 
##     514, 504, 510, 516, 504, 511, 523, 506, 506, 503, 495, 500, 
##     503, 503, 508, 503, 511, 513, 506, 515, 507, 502, 508, 507, 
##     506, 524, 516, 508, 503, 510, 506, 503, 507, 503, 505, 503, 
##     501, 510, 498, 518, 499, 503, 502, 511, 500, 524, 506, 512, 
##     506, 511, 510, 514, 510, 516, 509, 507, 514, 501, 502, 502, 
##     513, 506, 524, 509, 511, 508, 507, 507, 514, 506, 511, 511, 
##     511, 513, 514, 523, 512, 529, 515, 512, 515, 520, 514, 514, 
##     504, 520, 510, 510, 508, 505, 502, 502, 502, 507, 508, 505, 
##     504, 510, 514, 521, 506, 510, 512, 514, 505, 498, 511, 501, 
##     511, 507, 506, 511, 510, 510, 504, 519, 507, 514, 509, 515, 
##     516, 514, 527, 518, 510, 506, 509, 507, 509, 504, 502, 501, 
##     525, 510, 502, 498, 512, 501, 498, 507, 505, 507, 508, 507, 
##     509, 508, 530, 511, 518, 508, 515, 518, 514, 508, 505, 511, 
##     517, 511, 512, 511, 511, 507, 510, 518, 507, 509, 497, 500, 
##     501, 496, 515, 506, 503, 491, 500, 500, 501, 500, 493, 505, 
##     515, 507, 502, 496, 514, 503, 500, 500, 500, 490, 492, 642, 
##     633, 636, 643, 653, 650, 646, 652, 671, 651, 660, 652, 649, 
##     650, 649, 651, 659, 672, 660, 664, 660, 670, 657, 659, 654, 
##     651, 657, 651, 656, 658, 661, 656, 655, 668, 666, 657, 665, 
##     650, 659, 671, 656, 663, 655, 654, 660, 671, 659, 673, 679, 
##     663, 667, 678, 674, 669, 661, 667, 664, 665, 666, 671, 660, 
##     665, 665, 667, 666, 667, 659, 676, 674, 662, 665, 665, 662, 
##     663, 664, 661, 654, 658, 669, 658, 656, 659, 658, 666, 653, 
##     653, 652, 656, 645, 647, 662, 646, 643, 661, 652, 670, 646, 
##     644, 653, 638, 632, 625, 617, 568, 567, 568, 550, 535, 553, 
##     539, 554, 557, 562, 557, 550, 541, 552, 539, 541, 538, 536, 
##     536, 529, 543, 534, 550, 542, 541, 543, 539, 535, 547, 544, 
##     551, 539, 541, 544, 552, 542, 549, 538, 544, 551, 546, 46, 
##     1, -24, -60, -62, -69, -70, -68, -31, -8, -13, 1, 9, 30, 
##     34, 57, 105, 176, 392, 445, 489, 499, 557, 560, 590, 618, 
##     640, 650, 625, 618, 622, 600, 576, 554, 540, 539, 542, 546, 
##     554, 571, 591, 602, 620, 620, 631, 117, 158, 187, 223, 352, 
##     354, 384, 490, 521, 546, 585, 601, 613, 621, 618, 619, 622, 
##     623, 618, 616, 604, 575, 570, 589, 596, 592, 601, 608, 607, 
##     613, 597, 599, 581, 574, 570, 551, 556, 527, 496, 442, 422, 
##     414, 367, 233, 164, 132, 61, 4, -12, -30, -61, -68, -74, 
##     -50, -4, 32, 61, 85, 124, 138, 255, 291, 341, 331, 390, 418, 
##     457, 477, 506, 557, 602, 616, 624, 624, 618, 618, 581, 578, 
##     581, 612, 642, 649, 650, 643, 642, 643, 629, 635, 569, 502, 
##     411, 379, 351, 328, 277, 252, 189, 24, 4, 2, -51, -50, -65, 
##     -69, -55, -5, 17, 31, 56, 71, 119, 126, 159, 172, 279, 360, 
##     381, 411, 433, 445, 468, 477, 487, 521, 555, 554, 616, 626, 
##     623, 626, 621, 608, 610, 616, 610, 597, 598, 604, 610, 622, 
##     630, 644, 626, 623, 616, 577, 515, 463, 355, 325, 296, 275, 
##     175, 139, 108, 97, 76, 47, 6, -12, -37, -44, -68, -93, -76, 
##     -87, -76, -74, -64, -31, -46, 4, 2, 26, 75, 100, 103, 142, 
##     171, 312, 317, 383, 402, 461, 491, 504, 509, 550, 583, 587, 
##     592, 613, 616, 620, 644, 632, 629, 618, 615, 607, 605, 604, 
##     603, 598, 581, 584, 576, 591, 578, 589, 598, 611, 599, 611, 
##     625, 639, 627, 626, 636, 620, 611, 599, 580, 561, 545, 526, 
##     502, 504, 470, 419, 373, 330, 305, 290, 276, 185, 165, 225, 
##     263, 290, 327, 486, 520, 526, 555, 584, 579, 580, 591, 596, 
##     610, 624, 626, 637, 627, 622, 620, 589, 597, 579, 565, 553, 
##     559, 573, 574, 599, 603, 631, 624, 630, 637, 648, 652, 625, 
##     615, 603, 593, 578, 562, 563, 553, 565, 528, 490, 486, 352, 
##     324, 290, 166, 272, 320, 327, 359, 401, 415, 438, 479, 505, 
##     513, 515, 559, 544, 587, 592, 597, 600, 618, 607, 609, 604, 
##     613, 617, 607, 611, 614, 606, 618, 598, 599, 607, 612, 616, 
##     622, 616, 625, 620, 634, 593, 550, 505, 498, 458, 438, 364, 
##     342, 314, 102, 89, 24, 2, -17, -54, -61, -71, -82, -130, 
##     -151, -166, -171, -173, -163, -156, -161, -161, -147, -146, 
##     -145, -129, -132, -98, -77, -42, -15, -1, 41, 82, 168, 180, 
##     204, 236, 259, 332, 378, 392, 417, 426, 449, 468, 522, 526, 
##     554, 560, 560, 559, 580, 557, 556, 569, 558, 566, 547, 542, 
##     47, 31, -8, -30, -46, -61, -69, -83, -79, -63, -53, -47, 
##     -32, -16, 1, 35, 60, 87, 129, 157, 184, 601, 589, 575, 555, 
##     453, 395, 331, 297, 284, 228, 197, 156, 150, 29, -16, -60, 
##     -81, -85, -88, -87, -77, -68, -53, -46, -33, -13, 17, 53, 
##     58, 71, 660, 658, 656, 662, 678, 649, 651, 674, 662, 650, 
##     662, 664, 659, 659, 651, 655, 655, 652, 655, 655, 662, 653, 
##     653, 491, 491, 486, 506, 492, 487, 502, 499, 501, 497, 495, 
##     487, 488, 521, 568, 583, 591, 605, 618, 636, 623, 509, 521, 
##     509, 506, 510, 513, 509, 519, 527, 508, 512, 503, 510, 513, 
##     527, 508, 511, 505, 501, 496, 509, 488, 488, 491, 481, 497, 
##     496, 504, 499, 499, 501, 498, 513, 501, 500, 396, 390, 399, 
##     388, 397, 397, 389, 407, 393, 392, 397, 391, 389, 389, 383, 
##     403, 391, 388, 391, 386, 383, 391, 398, 393, 350, 348, 352, 
##     354, 343, 347, 345, 343, 342, 338, 349, 340, 345, 346, 349, 
##     348, 347, 346, 348, 349, 359, 360, 359, 352, 350, 352, 351, 
##     344, -372, -323, -300, -266, -173, -144, 133, 275, 343, 468, 
##     544, 604, 628, 608, 527, 552, 559, 575, 592, 637, 625, 587, 
##     560, 467, 338, 279, 264, 149, 83, 13, -84, -157, -243, -275, 
##     -359, -363, -392, -421, -434, 515, 549, 589, 598, 606, 606, 
##     613, 609, 591, 578, 582, 580, 571, 576, 550, 554, 538, 530, 
##     507, 514, 499, 524, 274, 449, 467, 487, 505, 570, 574, 609, 
##     621, 636, 636, 636, 635, 628, 619, 611, 601, 586, 585, 588, 
##     557, 554, 556, 545, 555, 551, 544, -159, -139, 55, 66, 109, 
##     205, 235, 278, 330, 371, 391, 430, 460, 524, 530, 541, 568, 
##     574, 593, 634, 650, 651, 638, 623, 615, 600, 587, 587, 592, 
##     595, 590, 594, 597, 595, 592, 597, 600, 595, 592, 591, 596, 
##     586, 589, 588, 606, 595, 592, 607, 597, 602, 593, 690, 683, 
##     693, 672, 683, 654, 634, 632, 621, 621, 627, 621, 590, 593, 
##     594, 591, 584, 592, 583, 592, 586, 595, 586, 598, 606, 616, 
##     613, 610, 620, 649, 649, 655, 673, 671, 682, 672, 684, 677, 
##     670, 670, 685, 674, 684, 687, 694, 685, 674, 678, 598, 583, 
##     582, 567, 563, 561, 552, 536, 526, 516, 521, 512, 506, 514, 
##     512, 522, 514, 552, 551, 568, 583, 591, 594, 597, 414, 450, 
##     483, 506, 518, 540, 524, 523, 508, 509, 514, 510, 502, 488, 
##     482, 484, 490, 513, 501, 567, 553, 559, 559, 566, 557, 543, 
##     47, 208, 316, 407, 447, 464, 507, 525, 565, 573, 579, 589, 
##     586, 558, 537, 523, 187, 405, 439, 504, 525, 588, 584, 590, 
##     575, 570, 550, 521, 504, 496, 503, 500, 497, 479, 484, 485, 
##     537, 509, 414, 327, 254, 205, 98, 23, -131, -138, -101, -28, 
##     58, 83, 192, 305, 345, 428, 438, 577, 554, 531, 516, 491, 
##     471, 474, 466, 459, 443, 436, 440, 433, 445, 442, 446, 451, 
##     500, 521, 526, 546, 551, 560, 577, 581, 609, 599, 610, 485, 
##     455, 459, 574, 571, 541, 536, 526, 511, 504, 505, 517, 535, 
##     554, 557, 561, 575, 580, 577, 577, 571, 560, 555, 517, 504, 
##     438, 399, 376, 322, 242, 233, 184, 156, 116, 537, 512, 501, 
##     483, 467, 466, 463, 453, 461, 459, 461, 461, 461, 467, 463, 
##     464, 451, 458, 454, 456, 457, 448, 447, 454, 464, 449, 461, 
##     451, 448, 453, 446, 448, 445, 437, 443, 474, 470, 481, 484, 
##     515, 516, 545, 544, 562, 547, 538, 507, 496, 461, 375, 266, 
##     216, 145, -3, -142, -169, -207, -295, -357, -423, -448, -443, 
##     -430, -363, -328, -318, -282, -173, -23, 136, 174, 195, 240, 
##     373, 410, 413, 439, 450, 458, 457, 455, 437, 433, 103, 45, 
##     18, -46, -226, -294, -380, -438, -445, -446, -435, -403, 
##     -400, -337, -285, -249, -220, -51, -26, 92, 109, 186, 235, 
##     274, 296, 337, 369, 449, 486, 493, 495, 484, 479, 455, 452, 
##     434, 409, 404, 408, 403, 406, 409, 418, 428, 450, 469, 466, 
##     500, 553, 546, 539, 540, 487, 466, 441, 349, 216, 42, -42, 
##     -262, -310, -341, -492, -489, -414, -279, -220, -171, -121, 
##     23, 61, 100, 199, 286, 297, 365, 442, 479, 495, 516, 515, 
##     519, 527, 532, 500, 492, 423, 415, 415, 455, 469, 485, 507, 
##     544, 553, 556, 381, 344, 240, 196, 105, -9, -135, -200, -251, 
##     -342, -364, -408, -462, -486, -505, -517, -511, -495, -496, 
##     -484, -463, -339, -317, -269, -122, 95, 158, 262, 344, 401, 
##     462, 480, 492, 399, 382, 375, 391, 420, 408, 428, 432, 459, 
##     484, 521, 533, 554, 549, 525, 513, 500, 376, 353, 244, 208, 
##     134, 20, -42, -84, -163, -256, -284, -343, -453, -477, -495, 
##     -501, -459, -427, -422, -380, -354, -231, -124, 477, 490, 
##     515, 527, 504, 490, 450, 422, 330, 166, 129, -80, -229, -361, 
##     -381, -438, -464, -502, -501, -501, -483, -453, -404, -286, 
##     -151, -89, -16, 32, 381, 424, 440, 437, 426, 430, 424, 421, 
##     420, 401, 400, 377, 374, 364, 362, 380, 373, 397, 408, 407, 
##     430, 448, 513, 505, 501, 485, 462, 329, 272, 237, 186, 154, 
##     43, -100, -129, -302, -382, -432, -502, -514, -521, -513, 
##     -468, -396, -362, -255, 83, 202, 302, 411, 435, 499, 519, 
##     513, 488, 492, 468, 463, 377, 384, 381, 375, 368, 380, 386, 
##     387, 408, 435, 460, 541, 492, 298, -259, -321, -344, 400, 
##     408, 386, 373, 369, 370, 379, 386, 402, 431, 435, 447, 471, 
##     490, 501, 517, 519, 462, 418, 397, 259, 193, 167, 83, 17, 
##     -254, -345, -416, -453, -478, -508, -531, -551, -542, -535, 
##     -509, -491, -430, -396, -319, -278, -201, -43, 6, 169, 201, 
##     272, 361, 389, 436, 425, 391, 375, 350, 344, 346, 359, 365, 
##     365, 386, 416, 456, 477, 480, 507, 529, 525, 523, 510, 493, 
##     428, 418, 299, 207, 117, 5, -158, -188, -255, -275, -337, 
##     -382, -405, -437, -443, -432, -119, -201, -130, 121, 172, 
##     188, 237, 280, 338, 377, 393, 524, 554, 560, 555, 580, 598, 
##     447, 487, 522, 562, 562, 580, 620, 626, 632, 615, 605, 602, 
##     596, 596, 571, 570, 555, 542, 528, 527, 532, 540, 517, 524, 
##     527, 568, 560, 564, 556, 553, 558, 558, 553, 552, 548, 545, 
##     553, 539, 537, 542, 536, 537, 533, 546, 536, 533, 536, 537, 
##     551, 550, 537, 540, 552, 529, 539, 538, 538, 539, 550, 548, 
##     552, 549, 532, 547, 549, 540, 531, 536, 532, 533, 536, 541, 
##     529, 541, 541, 533, 542, 546, 557, 543, 550, 544, 547, 552, 
##     552, 550, 546, 547, 548, 556, 549, 541, 544, 548, 546, 560, 
##     563, 575, 571, 575, 596, 610, 620, 619, 625, 624, 625, -468, 
##     -309, -255, -177, -118, -88, 131, 166, 231, 262, 307, 375, 
##     389, 427, 447, 492, 512, 562, 583, 579, 577, 537, 523, 508, 
##     508, 495, 489, 480, 471, 474, 464, 461, 463, 460, 463, 466, 
##     493, 495, 568, 625, 617, 593, 581, 514, 486, 407, 334, 221, 
##     136, 101, 34, -181, -255, -342, -387, -423, -476, -511, -538, 
##     -540, -553, -552, -537, -533, -537, -537, -552, -465, -425, 
##     -419, -375, -294, -209, -181, -140, -81, 65, 144, 175, 268, 
##     307, 338, 501, 529, 546, 581, 595, 605, 604, 577, 558, 524, 
##     459, 378, 314, 139, 110, -63, -155, -207, -289, -330, -377, 
##     -396, -493, -526, -550, -553, -544, -535, -551, -539, -552, 
##     -558, -541, -532, -504, -387, -212, -180, -126, -49, -37, 
##     28, 94, 123, 175, 268, 326, 417, 468, 502, 551, 580, 587, 
##     600, 604, 588, 561, 567, 515, 506, 510, 497, 486, 482, 474, 
##     479, 474, 476, 479, 479, 507, 543, 590, 606, 582, 575, 496, 
##     419, 326, -8, -103, -123, -187, -310, -371, -455, -511, -551, 
##     -552, -553, -542, -506, -523, -515, -530, -540, -550, -548, 
##     -550, -491, -448, -398, -366, -236, -41, 22, 81, 116, 173, 
##     196, 332, 336, 494, 541, 560, 616, 604, 592, 576, 532, 526, 
##     487, 463, 471, 485, 538, 558, 569, 581, 616, 585, 562, 448, 
##     349, 308, 247, 211, 133, 32, -37, -95, -132, -310, -325, 
##     -406, -439, -524, -542, -545, -541, -535, -525, -512, -500, 
##     -527, -522, -539, -541, -524, -521, -518, -462, -424, -346, 
##     -261, -119, -29, 214, 592, 542, 484, 455, 392, 313, 238, 
##     199, 92, 38, -120, -207, -254, -301, -322, -408, -454, -497, 
##     -511, -525, -530, -506, -487, -473, -462, -457, -473, -474, 
##     -483, -516, -517, -511, -478, -408, -352, -299, -128, -112, 
##     -35, 43, 136, 218, 232, 480, 567, 578, 597, 613, 586, 543, 
##     528, 514, 488, 488, 472, 482, 486, 485, 494, 520, 531, 545, 
##     576, 609, 606, 575, 383, 328, 291, 230, 43, 12, -103, -222, 
##     -305, -357, -91, -46, 70, 155, 200, 258, 296, 360, 385, 453, 
##     460, 472, 511, 538, 551, 564, 550, 554, 550, 526, 525, 488, 
##     483, 483, 493, 474, 481, 487, 501, 500, 531, 560, 564, 576, 
##     569, 572, 552, 539, 448, 417, 376, 306, 216, 153, 122, 79, 
##     -15, -102, -168, -235, -245, -131, 55, 67, 139, 218, 283, 
##     341, 369, 384, 415, 447, 474, 489, 502, 527, 540, 551, 567, 
##     574, 585, 578, 552, 519, 506, 489, 480, 490, 471, 476, 492, 
##     499, 508, 529, 565, 552, 559, 548, 511, 448, 424, 375, 144, 
##     127, 40, -47, -63, -128, -144, -164, -187, -187, -183, -160, 
##     -134, -75, -2, 49, 90, 152, 214, 272, 363, 479, 502, 450, 
##     434, 399, 344, 309, 285, 191, 126, 78, 25, -18, -82, -137, 
##     -196, -197, -219, -230, -190, -178, -145, -135, 9, 87, 101, 
##     157, 274, 321, 438, 557, 555, 578, 594, 587, 583, 564, 563, 
##     546, 535, 533, 512, 511, 514, 517, 537, 556, 574, -175, -138, 
##     -111, -66, -41, 38, 104, 120, 153, 174, 214, 242, 328, 416, 
##     463, 485, 523, 547, 553, 572, 587, 584, 596, 591, 582, 567, 
##     560, 552, 551, 537, 542, 514, 519, 525, 531, 523, 528, 539, 
##     522, 523, 526, 530, 519, 519, 518, 514, 511, 518, 515, 531, 
##     520, 516, 524, 521, 515, 516, 521, 509, 516, 520, 510, 515, 
##     506, 511, 511, 503, 502, 516, 515, 513, 519, 519, -8, 40, 
##     105, 120, 175, 201, 320, 355, 378, 447, 459, 484, 539, 540, 
##     544, 561, 563, 551, 541, 528, 526, 522, 524, 538, 542, 545, 
##     -240, 93, 102, 157, 216, 237, 348, 386, 423, 466, 479, 493, 
##     512, 527, 534, 554, 573, 563, 573, 576, 565, 559, 571, 559, 
##     562, 575, 598, 591, 590, 535, 499, 422, 364, 328, -137, -212, 
##     -300, -346, -440, -472, -524, -510, -521, -516, -512, -500, 
##     -514, -518, -518, -499, 535, 549, 573, 589, 585, 589, 594, 
##     560, 302, 254, 190, 91, 71, -68, -172, -472, -495, -502, 
##     -495, -505, -495, -481, -472, -445, -413, -304, -203, -74, 
##     52, 66, 116, 152, 199, 286, 403, 437, 446, 459, 508, 533, 
##     568, 558, 562, 563, 562, 585, 592, 591, 587, 483, 407, 360, 
##     223, 166, 69, -92, -154, -208, 310, 339, 463, 501, 515, 536, 
##     539, 541, 551, 555, 564, 567, 551, 553, 555, 543, 536, 541, 
##     532, 522, 531, 542, 547, 556, 550, 574, 576, 597, -433, -397, 
##     -391, -256, -191, -168, -91, -47, -12, 50, 113, 306, 332, 
##     380, 413, 505, 503, 530, 526, 534, 537, 543, 537, 515, 507, 
##     492, 487, 490, 505, 526, 530, 543, 572, 576, 581, 575, 568, 
##     562, 532, 502, 458, 395, 362, 235, 198, 114, -104, -202, 
##     -256, -312, -340, -358, -385, -409, -424, -460, -461, -470, 
##     -476, -468, -468, -406, -390, -220, -179, -100, 34, 89, 180, 
##     290, 339, 390, 416, 433, 472, 498, 522, 538, 530, -20, -12, 
##     11, 26, 75, 112, 174, 311, 323, 391, 408, 422, 445, 463, 
##     502, 503, 544, 532, 526, 513, 504, 483, 466, 462, 418, 400, 
##     374, 377, 365, 373, 380, 378, 370, 384, 415, 430, 449, 457, 
##     477, 489, 511, 490, 435, 389, 377, 371, 351, 385, 420, 438, 
##     446, 507, 522, 513, 512, 474, 420, 354, 316, 267, 112, 95, 
##     60, -75, -135, -147, -135, -124, -97, -89, -42, -39, -19, 
##     23, 35, 119, 244, 329, 406, 409, 425, 438, 454, 478, 513, 
##     514, 495, 431, 405, 395, 392, 374, 406, 395, 398, 406, 408, 
##     413, 420, 432, 427, 423, 413, 408, 419, 418, 414, 409, 423, 
##     421, 412, 417, 426, 407, 415, 411, 411, 408, 414, 420, 415, 
##     416, 414, 414, 424, 418, 423, 409, 425, 418, 431, 486, 495, 
##     506, 531, 467, 449, 385, 359, 280, 244, 178, -170, -270, 
##     -342, -434, -462, -465, -468, -479, -455, -422, -398, -377, 
##     -340, -270, -182, -152, -83, -61, 23, 142, 227, 270, 349, 
##     366, 425, 451, 451, 422, 404, 350, 354, 357, 365, 412, 452, 
##     502, 511, 505, 506, 457, 439, 177, 137, -150, -229, -391, 
##     -417, -452, -476, -468, -469, -467, -454, -368, -310, -269, 
##     -210, -195, -121, 0, 173, 261, 336, 343, 374, 424, 425, 378, 
##     369, 366, 348, 374, 397, 400, 139, 205, 226, 381, 399, 440, 
##     451, 462, 423, 407, 377, 359, 357, 421, 480, 506, 491, 483, 
##     359, 210, 172, -10, -50, -127, -220, -324, -429, -463, -473, 
##     -480, -438, -373, -349, -300, -243, -162, -125, 23, 232, 
##     444, 466, 452, 458, 430, 421, 422, 381, 397, 406, 461, 490, 
##     494, 496, 501, 475, 442, 422, 372, 333, 126, 38, -169, -195, 
##     -250, -347, -376, -412, -434, -445, -427, -379, -369, -307, 
##     -228, -120, -11, 201, 221, 284, 317, 381, 428, 459, 467, 
##     476, 475, 469, 443, 442, 418, 408, 403, 387, 386, 393, 402, 
##     469, 469, 496, 496, 499, 483, 340, 307, 181, -72, -142, -178, 
##     -261, -336, -388, -449, -469, 432, 474, 485, 493, 463, 446, 
##     391, 369, 147, 78, -49, -260, -311, -329, -414, -440, -448, 
##     -430, -432, -416, -406, -359, -261, -218, -179, -85, -37, 
##     176, 117, -16, -67, 0, 26, 109, 127, 195, 263, 279, 319, 
##     478, 479, 540, 557, 555, 557, 560, 566, 565, 574, 584, 533, 
##     550, 531, 545, 542, 534, 539, 536, 549, 541, 545, 542, 527, 
##     530, 522, 524, 522, 515, 514, 517, 536, 528, 529, 546, 560, 
##     556, 565, 561, 573, 561, 561, 565, 576, 576, 578, 581, 625, 
##     637, 615, 562, 553, 474, 432, 365, 327, 280, 235, 170, -49, 
##     -109, -165, -177, -278, -329, -442, -487, -504, -515, -531, 
##     -532, -540, -535, -535, -542, -529, -531, -517, -501, -495, 
##     -482, -455, -434, -333, -327, -54, 6, 97, 193, 219, 261, 
##     288, 328, 356, 392, 493, 565, 577, 600, 597, 600, 572, 566, 
##     582, 565, 561, 563, 566, 572, 587, 596, 613, 612, 604, 608, 
##     565, 573, 490, 436, 414, 373, 326, 269, 187, 39, -39, -185, 
##     -229, -328, -344, -367, -388, -414, -470, -462, -497, 343, 
##     408, 435, 466, 486, 494, 507, 528, 531, 565, 558, 569, 566, 
##     572, 560, 561, 556, 563, 560, 548, 542, 540, 537, 531, 544, 
##     554, 560, -530, -541, -538, -541, -544, -527, -504, -483, 
##     -452, -319, -209, -72, 43, 108, 124, 225, 250, 365, 387, 
##     432, 463, 479, 497, 523, 543, 546, 577, 584, 611, 590, 580, 
##     549, 541, 538, 536, 538, 548, 553, 551, 558, 563, 565, 558, 
##     564, 574, 577, 588, 586, 582, 512, 358, 330, 245, 111, 32, 
##     -49, -98, -120, -238, -279, -325, -375, -392, -407, -427, 
##     -451, -455, -474, -497, -497, -551, -561, -559, -558, -550, 
##     -555, -562, -535, -539, -523, -515, -510, -449, -434, -410, 
##     -356, -263, -228, -100, 23, 71, 138, 166, 208, 518, 529, 
##     538, 548, 559, 573, 579, 575, 508, 466, 397, 389, 344, 303, 
##     208, 177, 123, 3, -136, -184, -295, -328, -404, -423, -458, 
##     -487, -474, -507, -530, -527, -526, -502, -495, -490, -467, 
##     -400, -360, 541, 539, 526, 525, 527, 534, 514, 513, 513, 
##     517, 509, 512, 522, 535, 535, 558, 549, 584, 586, 572, 572, 
##     531, 487, 440, 361, 284, 176, -100, -155, -202, -227, -265, 
##     -362, -382, -405, -424, -455, -488, -483, -487, -510, -504, 
##     -513, -516, -515, -509, -506, -483, -472, -445, -403, -388, 
##     -326, -297, -190, -79, -8, 70, 107, 212, 277, 309, 335, 373, 
##     409, 432, 447, 480, 498, 584, 581, 583, 589, 571, 565, 563, 
##     548, 531, 517, 520, 513, 521, 518, 523, 536, 540, 540, 566, 
##     567, 579, 588, 594, 586, 516, 403, 307, 219, -56, -200, -242, 
##     -293, -335, -351, -372, -370, -380, -410, -416, -444, -452, 
##     -464, -477, -487, -496, -494, -506, -506, -499, -489, -473, 
##     -477, -462, -441, -421, -420, -405, -371, -324, -281, -262, 
##     -194, 177, 250, 281, 307, 350, 390, 418, 431, 448, 472, 480, 
##     489, 511, 518, 541, 540, 537, 550, 537, 544, 524, 521, 514, 
##     516, 519, 514, 508, 505, 509, 496, 504, 499, 501, 509, 502, 
##     501, 501, 500, 510, 533, 542, 546, 568, 573, 589, 561, 377, 
##     233, 28, -16, -255, -285, -345, -360, -426, -450, -470, -484, 
##     -511, -530, -536, -547, -544, -532, -537, -526, -530, -517, 
##     -519, -507, -490, -437, -402, -368, -355, -301, -224, -70, 
##     -4, -337, -286, -233, -205, -72, 69, 128, 209, 275, 383, 
##     395, 422, 490, 518, 526, 547, 554, 552, 567, 564, 564, 556, 
##     552, 542, 544, 253, 272, 372, 398, 487, 515, 554, 568, 575, 
##     584, 557, 555, 547, 539, 545, 534, 534, 520, 582, 589, 607, 
##     620, 615, 586, 556, 520, 459, 362, 230, 175, 144, 59, 17, 
##     -7, -78, -88, -154, -215, -264, -282, -313, -351, -395, -415, 
##     -415, -446, -457, -478, -486, -496, -526, -515, -531, -534, 
##     -523, -511, -476, -422, -374, -315, -194, -139, -41, 5, 83, 
##     238, 288, 579, 578, 573, 581, 584, 565, 571, 557, 578, 556, 
##     553, 560, 562, 547, 549, 547, 548, 547, 545, 546, 555, 539, 
##     534, 537, 48, 89, 144, 221, 244, 304, 349, 400, 414, 429, 
##     440, 456, 465, 533, 557, 563, 579, 597, 603, 544, 552, 549, 
##     564, 574, 581, 607, 600, 601, 595, 584, 588, 573, 559, 540, 
##     513, 480, 384, 367, 323, 291, 261, 240, 183, 161, 135, 32, 
##     -1, -13, 231, 160, 121, 29, 9, -35, -71, -72, -91, -120, 
##     -107, -120, -105, -88, -93, -69, -34, 23, 54, 59, 102, 198, 
##     573, 590, 596, 602, 603, 633, 648, 651, 657, 633, 617, 617, 
##     576, 552, 540, 526, 489, 490, 413, 398, 335, 298, 279, 254, 
##     243, 219, 197, 178, 154, 121, 48, 21, 11, -37, -60, -75, 
##     -91, -110, -102, -131, -139, -130, -125, -112, -34, 89, 156, 
##     185, 198, 252, 273, 306, 349, 399, 417, 483, 489, 511, 542, 
##     573, 585, 594, 611, 612, 615, 630, 662, 657, 658, 654, 657, 
##     636, 630, 626, 603, 602, 596, 589, 594, 598, 587, 585, 598, 
##     582, 599, 600, 609, 612, 625, 627, 655, 600, 566, 520, 494, 
##     479, 439, 394, 349, 281, 256, 234, 222, 209, 198, 141, 104, 
##     74, 59, 23, -12, -20, -49, -79, -82, -96, -86, -64, -40, 
##     -25, 2, 19, 59, 85, 115, 186, 334, 426, 439, 464, 464, 497, 
##     501, 534, 538, 542, 567, 581, 587, 603, 592, 601, 614, 595, 
##     591, 583, 583, 600, 587, 570, 571, 559, 561, 566, 564, 573, 
##     574, 579, 590, 594, 592, 613, 615, 607, 611, 614, 610, 604, 
##     602, -151, -149, -169, -172, -173, -170, -159, -154, -149, 
##     -106, -97, -69, -44, -20, -5, 14, 62, 92, 138, 165, 199, 
##     254, 301, 356, 387, 599, 597, 614, 606, 603, 609, 612, 607, 
##     610, 623, 617, 619, 611, 629, 639, 615, 609, 619, 587, 578, 
##     551, 514, 490, 423, 380, 232, 173, 121, 93, 17, -43, -62, 
##     -145, -177, -347, -363, -385, -405, -498, -496, -532, -548, 
##     -529, -547, -543, -526, -525, -534, -528, -513, -522, -515, 
##     -486, -441, -419, -360, -310, -262, -192, -154, 19, 125, 
##     157, 313, 434, 538, 612, 624, 627, 617, 634, 627, 638, 620, 
##     622, 613, 592, 573, 589, 534, 543, 545, 565, 567, 573, 611, 
##     605, 620, 620, 613, 621, 542, 371, 322, 253, 238, 190, 138, 
##     93, -47, -70, -130, -285, -346, -362, -380, -405, -418, -438, 
##     -450, -457, -506, -507, -521, -533, -532, -525, -526, -517, 
##     -496, -480, -469, -451, -431, -398, -379, -313, -284, -275, 
##     -232, -177, -124, -10, 73, 169, 289, 425, 433, 494, 530, 
##     559, 589, 598, 622, 621, 616, 608, 600, 591, 568, 559, 559, 
##     570, 550, 545, 559, 559, 568, 569, 590, 603, 615, 645, 657, 
##     598, 540, 531, 493, 473, 437, 393, 301, 228, 144, 19, -99, 
##     -122, -222, -252, -337, -364, -389, -402, -428, -430, -452, 
##     -482, 498, 564, 557, 576, 607, 631, 615, 608, 599, 579, 573, 
##     554, 550, 525, 512, 511, 490, 509, 521, 575, 561, 578, 600, 
##     612, 614, 569, 533, 510, 467, 441, 392, 342, 271, 238, 164, 
##     126, 96, 67, -89, -191, -218, -257, -282, -381, -400, -422, 
##     -460, -462, -466, -444, -444, -456, -437, -437, -426, -399, 
##     -406, -384, -365, -334, -292, -253, -226, -106, -41, -4, 
##     39, 79, 337, 465, 544, 546, 556, 558, 566, 577, 596, 627, 
##     607, 598, 510, 504, 484, 405, 337, 248, 210, 189, 128, 29, 
##     -1, -17, -65, -91, -97, -144, -186, -219, -259, -345, -387, 
##     -396, -405, -451, -469, -479, -471, -455, -455, -444, -393, 
##     -310, -279, -242, -229, -122, -77, -56, -17, 63, 125, 138, 
##     188, 218, 285, 343, 366, 432, 463, 483, 505, 528, 542, 613, 
##     610, 627, 639, 629, 568, 545, 535, 529, 530, 531, 519, 551, 
##     560, 572, 581, 594, 610, 617, 599, 583, 543, 550, 495, 384, 
##     328, 303, 184, 165, 120, 101, 61, 40, -2, -57, -88, -96, 
##     -164, -278, -312, -339, -373, -392, -456, -455, -432, -429, 
##     -431, -420, -389, -348, -329, -305, -260, -241, -175, -79, 
##     -63, -16, 60, 145, 261, 429, 468, 530, 538, 574, 624, 613, 
##     603, 583, 579, 592, 543, 530, 526, 503, 520, 514, 508, 534, 
##     543, 548, 570, 569, 584, 588, 591, 585, 549, 517, 487, 481, 
##     324, 275, 200, 178, 116, 89, 40, -7, 538, 543, 539, 542, 
##     535, -28, -41, -63, -88, -102, -133, -156, -201, -213, -204, 
##     -208, -202, -168, -169, -156, -129, -103, -50, -48, -17, 
##     2, 598, 590, 597, 602, 605, 597, 600, 595, 596, 592, 576, 
##     581, 585, 561, 566, 565, 572, 574, 571, 578, 616, 618, 601, 
##     575, 542, 490, 469, 448, 384, 346, 226, 203, 152, 102, 8, 
##     -11, -45, -81, -116, -146, -165, -171, -183, -190, -215, 
##     -217, -216, -217, -204, -203, -184, -199, -197, -194, -183, 
##     -177, -182, -184, -168, -168, -160, -156, -152, -148, -142, 
##     -138, -122, -121, -97, -86, -72, -74, -62, -36, 566, 584, 
##     592, 604, 614, 617, 615, 602, 591, 586, 575, 576, 536, 554, 
##     532, 529, 530, 530, 531, 536, 541, -489, -487, -484, -461, 
##     -450, -424, -417, -404, -395, -364, -353, -300, -266, -244, 
##     -198, -157, -68, -27, 16, 46, 78, 139, 172, 329, 377, 441, 
##     528, 542, 571, 588, 606, 598, 610, 603, 627, 617, 623, 628, 
##     627, 623, 611, 613, 605, 606, 547, 534, 498, 484, 459, 436, 
##     423, 397, 352, 299, 247, 212, 176, 165, 132, 42, 8, -2, -17, 
##     -27, -45, -68, -131, 231, 250, 313, 370, 485, 498, 542, 578, 
##     619, 645, 652, 649, 641, 641, 622, 609, 599, 594, 587, 580, 
##     291, 308, 356, 366, 400, 434, 406, 370, 367, 363, 370, 385, 
##     452, 478, 530, 539, 528, 448, 419, 236, -449, -436, -401, 
##     -342, -290, -207, -115, -74, 122, 189, 235, 290, 305, 354, 
##     380, 428, 465, 481, 475, 449, 438, 398, 398, 367, 359, 336, 
##     348, 380, 398, 444, 479, 496, 468, 476, 366, 341, 246, 172, 
##     33, -30, -64, -215, -285, -324, -349, -404, -460, -467, -470, 
##     -443, -417, -378, -273, -243, -198, -96, -65, 425, 445, 425, 
##     422, 413, 411, 416, 416, 418, 422, 407, 419, 415, 415, 420, 
##     421, 429, 412, 414, 412, 423, 411, 503, 507, 497, 483, 445, 
##     431, 397, 354, 325, 284, 214, 182, 136, 73, -52, -166, -161, 
##     -150, -114, -83, -42, 29, 50, 104, 179, 222, 251, 327, 413, 
##     429, -465, -502, -520, -514, -530, -519, -501, -489, -476, 
##     -485, -496, -512, -536, -534, -528, -520, -491, -481, -394, 
##     -291, -182, -89, 100, 166, 200, 343, 330, 382, 472, 511, 
##     542, 613, 576, 557, 534, 507, 496, 492, 483, 474, 476, 481, 
##     484, 482, 483, 511, 515, 572, 577, 601, 627, 621, 631, 609, 
##     613, 608, 596, 592, 573, 584, 546, 544, 524, 510, 499, 506, 
##     469, 469, 464, 475, 464, 475, 479, 556, 557, 588, 554, 485, 
##     336, 225, 148, 35, -23, -99, -176, -216, -277, -414, -467, 
##     -493, -544, -563, -539, -550, -550, -547, -550, -559, -563, 
##     -565, -547, -521, 334, 241, 111, -56, -202, -291, -329, -363, 
##     -362, -406, -400, -381, -332, -249, -182, -9, 9, 90, 219, 
##     345, 564, 556, 539, 503, 477, 461, 465, 456, 466, 454, 457, 
##     462, 469, 492, 502, 526, 540, 579, 553, 494, 448, -458, -540, 
##     -526, -517, -521, -493, -468, -460, -433, -401, -341, -311, 
##     -268, -170, -108, -26, -5, 114, 179, 278, 322, 439, 459, 
##     474, 481, 483, 466, 440, 442, 73, 174, 224, 442, 444, 454, 
##     449, 431, 383, 355, 354, 352, 366, 374, 375, 389, 396, 393, 
##     402, 401, 378, 399, 399, 406, 421, 439, 449, 532, 537, 540, 
##     512, 482, 417, 386, 256, 124, 43, 536, 526, 505, 493, 495, 
##     502, 511, 535, 559, 563, 562, 544, 529, 490, 400, 366, 283, 
##     208, 610, 584, 575, 518, 446, 393, 355, 308, 213, 157, 66, 
##     22, -40, -116, -182, -229, -241, -322, -409, -440, -490, 
##     -497, -504, -500, -483, -378, -452, -476, -492, -497, -504, 
##     -504, -510, -503, -492, -500, -500, -491, -443, -362, -348, 
##     -322, -261, -173, -104, 29, 159, -426, -389, -346, -338, 
##     -226, -212, -75, -18, 21, 263, 286, 316, 330, 399, 414, 432, 
##     436, 510, 534, 556, 532, 534, 525, 601, 535, 497, 208, 141, 
##     -45, -77, -234, -294, -388, -425, -476, -500, -505, -523, 
##     -510, -498, -512, -510, -490, -477, -458, -415, -357, 141, 
##     64, 31, -29, -111, -136, -278, -319, -344, -380, -449, -450, 
##     -495, -487, -510, -502, -500, -474, -453, -422, -382, -356, 
##     -85, 523, 526, 521, 536, 519, 529, 523, 524, 524, 521, 530, 
##     527, 525, 535, 544, 560, 560, 564, 576, 577, 593, 574, 586, 
##     516, 385, 327, 295, 567, 567, 591, 604, 610, 606, 559, 440, 
##     373, 291, 283, 249, 237, 179, 142, 55, -21, -78, -116, -160, 
##     -171, -199, -216, -231, -216, -219, 569, 574, 586, 597, 583, 
##     597, 577, 566, 555, 534, 532, 523, 513, 513, 513, 528, 540, 
##     535, 540, 563, 583, 597, 607, 593, 563, -349, -314, -267, 
##     -129, -59, -2, 24, 121, 271, 342, 397, 452, 495, 506, 533, 
##     524, 529, 507, 504, 489, 482, 465, 446, 418, 400, 406, 415, 
##     420, 427, 428, 432, 437, 462, 449, 475, 475, 497, 510, 517, 
##     552, 560, 576, 568, 535, 528, 517, 518, 437, 413, 399, 377, 
##     363, 329, 309, 299, 305, 320, 317, 328, 351, 398, 403, 456, 
##     462, 471, 499, 506, 544, 559, 568, 562, 571, 589, 573, 565, 
##     556, 547, 544, 527, 525, 505, 516, 505, 503, 498, 503, 518, 
##     524, 528, 540, 554, 543, 568, 579, 577, 591, 591, 602, 608, 
##     603, 591, 568, 574, 536, 494, 440, 404, 362, 348, 320, 309, 
##     301, 316, 313, 331, 346, 385, 407, 428, 497, 499, 572, 580, 
##     594, 589, 590, 591, 585, 589, 569, 569, 532, 565, 563, 526, 
##     506, 498, 489, 491, 466, 464, 471, 476, 461, 474, 464, 472, 
##     476, 486, 483, 513, 522, 535, 552, 588, 581, 588, 580, 585, 
##     602, 604, 600, 610, 604, 609, 570, 553, 508, 480, 488, 473, 
##     457, 451, 449, 458, 456, 464, 485, 484, 510, 540, 559, 558, 
##     586, 578, 577, 578, 575, 567, 557, 460, 448, 365, 321, 297, 
##     263, 238, 218, 211, 181, 180, 206, 210, 232, 292, 299, 345, 
##     368, 380, 407, 460, 489, 516, 521, 541, 548, 572, 583, 584, 
##     575, 543, 519, 519, 504, 517, 508, 501, 500, 507, 502, 501, 
##     501, 507, 509, 515, 513, 514, 532, 540, 561, 572, 575, 571, 
##     557, 537, 535, 240, 269, 301, 364, 370, 443, 463, 504, 553, 
##     573, 584, 600, 589, 576, 574, 581, 562, 552, 533, 525, 521, 
##     505, 482, 480, 483, 471, 478, 485, 502, 524, 523, 538, 551, 
##     579, 579, 567, 560, 550, 514, 430, 415, 405, 365, 338, 317, 
##     296, 306, 312, 334, 391, 406, 405, 418, 435, 448, 480, 524, 
##     552, 571, 555, 556, 568, 561, 543, 525, 507, 478, 471, 458, 
##     456, 468, 455, 487, 501, 509, 520, 551, 557, 560, 564, 568, 
##     565, 539, 504, 374, 356, 302, 198, 189, 192, 209, 269, 367, 
##     393, 402, 436, 473, 519, 544, 545, 554, 542, 546, 553, 541, 
##     526, 512, 485, 480, 460, 454, 450, 442, 442, 451, 457, 463, 
##     470, 489, 517, 533, 564, 582, 572, 572, 587, 565, 533, 516, 
##     448, 434, 402, 384, 354, 268, 243, 550, 595, 566, 559, 537, 
##     514, 501, 489, 488, 474, 502, 533, 550, 622, 617, 619, 545, 
##     511, 482, 425, 356, 335, 223, 150, 34, -27, -222, -293, -345, 
##     -393, -410, -477, -491, -529, -551, -550, -553, -535, -545, 
##     -531, -520, -516, -516, -526, -539, -543, -549, -532, -506, 
##     -387, -246, 112, 247, 376, 438, 463, 495, 537, 560, 568, 
##     602, 585, 582, 549, 521, 519, 512, 485, 472, 447, 437, 431, 
##     440, 506, 561, 601, 622, 613, 597, 582, 559, 522, 444, 396, 
##     352, 288, 212, 65, 6, -250, -356, -411, -423, -478, -544, 
##     -541, -534, -525, -511, -505, -522, -529, -507, -484, -473, 
##     -446, -316, -307, -180, -155, 0, 35, 90, 340, 386, 416, 479, 
##     551, 582, 581, 614, 579, 472, 462, 460, 459, 462, 472, 486, 
##     494, 489, 524, 543, 600, 614, 611, 609, 582, 542, 500, 488, 
##     425, 389, 338, 256, 141, -67, -151, -238, -283, -346, -374, 
##     -412, -462, -475, -494, -516, -512, -516, -496, -493, -485, 
##     -494, -495, -514, -523, -531, -525, -507, -490, -466, -436, 
##     -396, -187, -121, -27, 40, 137, 226, 514, 518, 532, 521, 
##     533, 550, 577, 602, 610, 556, 542, 519, 391, 518, 505, 500, 
##     506, 510, 502, 507, 510, 522, 510, 515, 513, 546, 527, 541, 
##     563, 558, 569, 580, 609, 550, 534, 372, 170, 108, 67, 1, 
##     -10, 18, 102, 176, 202, 285, 347, 383, 553, 579, 607, 626, 
##     616, 608, 593, 581, 533, 517, 519, 508, 509, 506, 523, 525, 
##     542, 531, 554, 590, 590, 610, 631, 567, 489, 438, 405, 333, 
##     256, 178, 33, 29, -6, -38, -30, 34, 86, 152, 182, 243, 362, 
##     408, 427, 455, 481, 562, 593, 621, 627, 628, 570, 564, 571, 
##     546, 544, 543, 540, 550, 556, 588, 620, 639, 635, 636, 613, 
##     561, 527, 463, 436, 308, 236, 172, 149, 43, -64, -63, -77, 
##     -74, -64, -47, 33, 66, 98, 138, 162, 210, 264, 339, 364, 
##     416, 447, 470, 503, 549, 559, 614, 630, 619, 593, 547, 506, 
##     490, 492, 511, 540, 572, 616, 618, 487, 423, 371, 276, 212, 
##     184, 138, 48, 26, -21, -52, -96, -116, -117, -105, -96, -67, 
##     -60, -25, 28, 47, 96, 115, 178, 217, 478, 481, 491, 492, 
##     508, 512, 542, 570, 606, 614, 574, 554, 531, 481, 470, 394, 
##     208, 142, -42, -81, -106, -111, -112, -104, -80, 6, 47, 162, 
##     291, 404, 424, 459, 581, 615, 613, 620, 621, 619, 612, 594, 
##     552, 534, 517, 504, 510, 504, 502, 497, 501, 504, 510, 551, 
##     572, 590, 623, 629, 12, -60, -88, -146, -204, -219, -324, 
##     -386, -414, -434, -454, -475, -479, -506, -492, -493, -490, 
##     -496, -483, -491, -453, -403, -359, -301, -216, -201, -89, 
##     130, 166, 217, 236, 335, 396, 436, 478, 499, 549, 542, 540, 
##     537, 529, 534, 517, 513, 515, 524, 515, 516, 522, 544, 540, 
##     561, 564, 579, 565, 587, 503, 339, 315, 186, 154, 1, -27, 
##     -88, -137, -273, -313, -343, -356, -395, -419, -445, -473, 
##     -489, -493, -497, -479, -467, -453, -405, -296, -169, -95, 
##     75, 131, 210, 227, 307, 413, 444, 459, 518, 526, 541, 547, 
##     556, 549, 547, 539, 527, 542, 511, 455, 460, 461, 451, 459, 
##     474, 491, 536, 548, 603, 614, 571, 459, -209, -165, -98, 
##     -9, 395, 440, 460, 494, 565, 568, 578, 598, 596, 610, 607, 
##     595, 584, 574, 573, 572, 574, 562, 566, 559, 559, 556, 560, 
##     565, 561, 558, 562, 559, 566, 565, 563, 572, 556, 556, 549, 
##     552, 563, 554, 558, 549, 543, 535, 543, 515, 507, 508, 504, 
##     505, 510, 519, 515, 518, 515, 523, 531, 537, 535, 536, 536, 
##     540, 542, 543, 528, 536, 524, 539, 534, 531, 525, 519, 521, 
##     521, 518, 523, 517, 511, 509, 521, 538, 521, 519, 515, 508, 
##     508, 497, 505, 506, 532, 547, 546, 532, 561, 549, 551, 552, 
##     551, 552, 554, 568, 545, 548, 547, 545, 549, 559, 551, 566, 
##     566, 571, 561, 566, 567, 559, 568, 562, 564, 579, 556, 569, 
##     576, 563, 562, 569, 561, 563, 557, 564, 566, 566, 561, 561, 
##     569, 560, 586, 563, 578, 583, 575, 589, 590, 598, 603, 604, 
##     614, 588, 524, 475, 451, 356, 314, 286, 274, 278, 347, 343, 
##     408, 425, 476, 556, 563, 580, 587, 585, 600, 589, 600, 571, 
##     544, 535, 532, 524, 528, 534, 553, 542, 584, 583, 593, 593, 
##     582, 580, 581, 523, 540, 512, 461, 431, 377, 361, 308, 249, 
##     243, 246, 253, 255, 271, 299, 299, 349, 445, 450, 489, 503, 
##     524, 538, 548, 582, 576, 573, 568, 569, 546, 540, 348, 355, 
##     385, 396, 445, 458, 484, 503, 515, 540, 546, 545, 540, 560, 
##     559, 564, 540, 532, 557, 571, 570, 561, 560, 542, 530, 496, 
##     492, 450, 413, 365, 331, 277, 258, 251, 232, 232, 238, 238, 
##     255, 352, 384, 410, 433, 446, 476, 481, 530, 550, 592, 606, 
##     598, 597, 586, 574, 562, 540, 533, 523, 515, 514, 535, 536, 
##     544, 554, 561, 578, 597, 600, 592, 582, 584, 562, 541, 501, 
##     489, 438, 409, 348, 247, 223, 204, 169, 166, 164, 158, 179, 
##     180, 207, 242, 270, 280, 316, 491, 524, 533, 563, 565, 588, 
##     592, 618, 617, 594, 569, 563, 538, 525, 558, 588, 603, -426, 
##     -447, -454, -457, -436, -442, -402, -304, -295, -245, -157, 
##     -125, 88, 194, 272, 371, 441, 480, 486, 510, 466, 446, 445, 
##     408, 385, 379, 370, 358, 358, 366, 370, 376, 387, 417, 431, 
##     488, 527, 509, 504, 482, 398, 314, 205, 153, -46, -148, -237, 
##     -338, -378, -393, -410, -431, -431, -432, -423, -409, -401, 
##     -331, -223, -104, -45, -4, 73, 109, 183, 224, 300, 337, 393, 
##     457, 490, 482, 485, 477, 438, 425, 409, 406, 392, 353, 357, 
##     415, 476, 469, 508, 502, 501, 375, 340, 258, 71, -270, -294, 
##     -343, -354, -403, -451, -445, -456, -423, -390, -287, -242, 
##     -136, 69, 171, 344, 366, 429, 453, 470, 465, 487, 485, 467, 
##     471, 453, 450, 429, 418, 397, 378, 372, 372, 377, 445, 444, 
##     432, 432, 430, 424, 426, 433, 427, 429, 429, 426, 429, 431, 
##     433, 429, 440, 430, 437, 440, 428, 424, 437, 433, 422, 433, 
##     426, 433, 429, 446, 444, 451, 453, 458, 479, 495, 510, 520, 
##     554, 549, 546, 536, 523, 494, 477, 422, 343, 327, 328, 349, 
##     351, 371, 363, 365, 371, 423, 458, 509, 525, 560, 576, 570, 
##     577, 558, 560, 540, 524, 513, 441, 437, 437, 425, 427, 426, 
##     424, 434, 436, 446, 458, 467, 470, 494, 490, 507, 526, 565, 
##     568, 541, 534, 510, 466, 389, 354, 355, 325, 301, 317, 317, 
##     328, 332, 360, 400, 419, 447, 490, 508, 557, 566, 528, 507, 
##     472, 465, 452, 437, 413, 426, 407, 407, 400, 407, 408, 424, 
##     427, 434, 479, 487, 504, 529, 567, 562, 556, 510, 441, 323, 
##     310, 262, 264, 287, 327, 335, 479, 533, 549, 572, 599, 574, 
##     459, 429, 392, 393, 388, 425, 427, 439, 447, 459, 540, 550, 
##     550, 522, 511, 479, 462, 415, 381, 300, 294, 287, 283, 309, 
##     338, 414, 445, 536, 556, 559, 571, 581, 551, 521, 484, 471, 
##     434, 416, 395, 377, 369, 380, 371, 375, 383, 385, 390, 391, 
##     408, 470, 549, 562, 573, 563, 536, 508, 474, 462, 409, 409, 
##     306, 298, 242, 243, 263, 321, 415, 461, 510, 538, 574, 584, 
##     565, 542, 509, 484, 417, 402, 391, 395, 401, 398, 398, 410, 
##     418, 432, 560, 571, 568, 467, 443, 399, 355, 334, 304, 275, 
##     246, 215, 224, 224, 242, 260, 278, 319, 333, 404, 429, 461, 
##     508, 513, 534, 545, 526, 485, 463, 453, 430, 411, 412, 395, 
##     394, 389, 391, 412, 426, 446, 512, 518, 528, 555, 531, 450, 
##     318, 283, 281, 276, 277, 269, 305, 334, 362, 408, 424, 435, 
##     460, 464, 479, 511, 527, 542, 524, 482, 455, 444, 386, 355, 
##     360, 373, 365, 372, 379, 445, 471, 497, 511, 526, 522, 503, 
##     422, 377, 319, 225, 227, 216, 248, 270, 325, 351, 397, 415, 
##     441, 478, 509, 532, 534, 534, 496, 470, 385, 367, 364, 352, 
##     367, 369, 373, 396, 407, 420, 544, 564, 559, 549, 454, 413, 
##     374, 302, 274, 339, 404, 439, 458, 531, 561, 577, 564, 528, 
##     478, 455, 432, 411, 382, 394, 391, 392, 402, 425, 446, 503, 
##     534, 565, 568, 549, 542, 491, 445, 402, 379, 237, 253, 282, 
##     293, 318, 326, 327, 375, 374, 399, 411, 442, 469, 503, 574, 
##     575, 517, 499, 430, 437, 435, 435, 438, 435, 439, 441, 431, 
##     451, 442, 437, 433, 432, 429, 432, 429, 424, 426, 424, 428, 
##     424, 426, 426, 435, 427, 446, 440, 433, 443, 427, 434, 425, 
##     431, -286, -266, -159, 26, 64, 125, 166, 300, 469, 517, 510, 
##     510, 423, 385, 379, 375, 378, 383, 390, 406, 415, 489, 504, 
##     532, 546, 559, 384, 330, 236, 155, 34, 67, 268, 399, 479, 
##     461, 464, 462, 458, 480, 502, 514, 529, 545, 538, 527, 529, 
##     529, 523, 529, 505, 519, 537, 526, 515, 518, 539, 568, 586, 
##     582, 579, 556, 470, 477, 488, 513, 548, 541, 551, 564, 556, 
##     557, 559, 561, 563, 560, 556, 564, 562, 558, 553, 543, 547, 
##     549, -494, -493, -531, -537, -544, -534, -556, -564, -550, 
##     -541, -525, -532, -528, -459, -355, -296, -225, -195, -117, 
##     -87, -3, 117, 216, 320, 348, 407, 426, 439, 451, 440, 453, 
##     442, 423, 425, 408, 393, 410, 421, 426, 410, 405, 402, 401, 
##     397, 387, 395, 391, 387, 360, 366, 363, 368, 351, 352, 360, 
##     363, 361, 362, 369, 370, 373, 375, 385, 393, 389, 391, 392, 
##     430, 445, 475, 477, 459, 476, 497, 499, 495, 505, 502, 510, 
##     517, 527, 516, 531, 536, 546, 544, 542, 555, 568, 566, 570, 
##     572, 573, 585, 595, 597, 597, 610, 600, 630, 627, 636, 638, 
##     643, 639, 632, 593, 590, 488, 444, 390, 367, 357, 316, 272, 
##     254, 235, 216, 214, 211, 213, 223, 209, 216, 220, 225, 228, 
##     231, 247, 254, 270, 306, 373, 399, 410, 434, 532, 546, 570, 
##     558, 575, 601, 595, 594, 599, 601, 616, 619, 610, 613, 598, 
##     603, 598, 591, 595, 596, 591, 597, 580, 573, 572, 554, 540, 
##     530, 536, 531, 524, 523, 530, 534, 573, 601, 609, 612, 614, 
##     619, 620, 608, 595, 564, 547, 528, 506, 493, 436, 421, 333, 
##     310, 277, 276, 250, 234, 201, 214, 164, 122, 116, 117, 118, 
##     120, 133, 154, 153, 165, 197, 208, 226, 297, 319, 344, 403, 
##     414, 518, 506, 505, 521, 517, 524, 526, 530, 551, 541, 572, 
##     569, 582, 571, 582, 575, 575, 575, 574, 552, 554, 546, 528, 
##     530, 485, 444, 283, 281, 253, 233, 218, 211, 199, 195, 196, 
##     187, 195, 197, 198, 225, 242, 245, 278, 283, 312, 334, 376, 
##     434, 445, 463, 497, 525, 559, 578, 597, 607, 600, 604, 599, 
##     589, 590, 581, 587, 582, 573, 574, 577, 559, 553, 541, 531, 
##     539, 530, 539, 537, 537, 555, 588, 613, 630, 621, 622, 612, 
##     598, 577, 568, 531, 518, 483, 468, 452, 434, 415, 397, 375, 
##     269, 261, 233, 246, 240, 238, 243, 252, 259, 278, 258, 278, 
##     278, 328, 381, 393, 435, 447, 481, 539, 576, 575, 591, 606, 
##     601, 605, 590, 589, 581, 580, 577, 572, 572, 576, 562, 561, 
##     568, 543, 544, 559, 547, 556, 574, 579, 581, 593, 591, 603, 
##     605, 614, 608, 609, 590, 555, 526, 482, 403, 381, 387, 345, 
##     334, 327, 284, 265, 254, 243, 244, 241, 240, 216, 212, 598, 
##     596, 590, 575, 577, 553, 552, 560, 556, 549, 544, 547, 550, 
##     549, 562, 583, 588, 590, 603, 617, 628, 631, 628, 626, 612, 
##     620, 599, 574, 508, 487, 477, 452, 436, 421, 401, 343, 329, 
##     264, 219, 209, 192, 190, 187, 179, 175, 182, 188, 182, 191, 
##     211, 214, 237, 316, 432, 503, 535, 544, 558, 582, 596, 608, 
##     616, 590, 572, 571, 544, 547, 549, 554, 538, 534, 541, 527, 
##     536, 552, 536, 543, 549, 558, 567, 575, 591, 612, 608, 591, 
##     614, 560, 551, 532, 464, 421, 394, 378, 352, 320, 272, 243, 
##     231, 225, 212, 203, 223, 209, 204, 237, 250, 305, 352, 423, 
##     494, 560, 575, 569, 584, 582, 581, 581, 583, 583, 574, 570, 
##     557, 545, 546, 540, 529, 525, 515, 513, 505, 500, 509, 495, 
##     502, 491, 489, 526, 533, 544, 550, 593, 591, 584, 590, 579, 
##     550, 542, 496, 475, 407, 373, 318, 287, 232, 217, 203, 199, 
##     198, 210, 219, 224, 229, 237, 257, 271, 277, 298, 327, 342, 
##     385, 409, 463, 493, 542, 557, 561, 571, 571, 572, 592, 580, 
##     605, 591, 595, 575, 585, 577, 583, 591, 217, 220, 264, 275, 
##     317, 348, 395, 403, 433, 453, 542, 612, 606, 617, 633, 610, 
##     614, 602, 596, 605, 442, 492, 497, 541, 572, 592, 597, 583, 
##     550, 545, 551, 568, 551, 543, 532, 532, 515, 563, 553, 559, 
##     556, 554, 547, 548, 544, 555, 538, 533, 531, 528, 527, 526, 
##     528, 528, 525, 530, 530, 535, 538, 541, 540, 557, 555, 558, 
##     575, 576, 560, 562, 577, 601, 598, 593, 571, 563, 480, 375, 
##     354, 283, 175, 117, 83, -25, -67, -150, -191, -261, -366, 
##     -436, -468, -446, -450, -468, -456, -478, -490, -489, -495, 
##     -492, -455, -456, -426, -409, -267, -131, 13, 167, 210, 270, 
##     337, 434, 459, 543, 533, 510, 450, 419, 399, 327, 284, 255, 
##     178, -64, -81, -124, -156, -233, -305, -334, -356, -423, 
##     -96, -140, -204, -241, -278, -303, -349, -375, -395, -404, 
##     -425, -431, -421, -441, -419, -393, -375, -372, 587, 604, 
##     602, 588, 553, 490, 491, 479, 486, 493, 493, 500, 506, 524, 
##     537, 521, 535, 539, 548, 567, 577, 574, 588, 572, 521, 488, 
##     346, 297, 213, -84, -100, -139, -201, -238, -264, -299, -372, 
##     -386, -430, -444, -450, -439, -459, -457, -462, -455, -448, 
##     -426, -433, -411, -374, -357, -336, -325, -290, -259, -241, 
##     -200, -162, -155, -120, -58, 7, 143, 163, 239, 284, 320, 
##     341, 386, 480, 507, 552, 564, 612, 630, 612, 612, 603, 589, 
##     603, 573, 562, 548, 534, 533, 533, 560, 566, 575, 543, 557, 
##     536, 537, 510, 434, 329, 296, 238, 212, 177, 151, 112, 79, 
##     43, 5, -40, -114, -155, -179, -197, -216, -330, -356, -373, 
##     -391, -399, -460, -470, -479, -481, -472, -468, -458, -460, 
##     -443, -412, -396, -373, -293, -219, -196, -115, -94, 107, 
##     192, 228, 381, 483, 500, 520, 555, 569, 596, 607, 633, 645, 
##     651, 635, 625, 623, 598, 584, 571, 540, 541, 523, 514, 513, 
##     525, 524, 535, 547, 542, 540, 561, 563, 584, 602, 594, 605, 
##     -483, -503, -504, -508, -499, -505, -494, -496, -486, -480, 
##     -471, -468, -454, -438, -403, -355, -338, -321, -229, -162, 
##     -128, 60, 95, 169, 575, 583, 595, 588, 580, 593, 610, 614, 
##     629, 631, 624, 636, 628, 635, 621, 614, 593, 583, 567, 564, 
##     474, 446, 435, 405, 361, 311, 256, 261, 231, 210, 180, 199, 
##     186, 203, 269, 300, 311, 315, 343, 368, 397, 464, 486, 512, 
##     547, 551, 568, 576, 598, 635, 643, 653, 637, 644, 630, 620, 
##     610, 612, 598, 608, 586, 580, 583, 597, 600, 605, 624, 615, 
##     615, 582, 526, 490, 453, 441, 443, 410, 396, 371, 344, 323, 
##     301, 293, 280, 269, 265, 247, 234, 231, 222, 226, 242, 245, 
##     269, 266, 283, 294, 295, 319, 362, 378, 435, 443, 460, 514, 
##     528, 532, 556, 563, 573, 587, 584, 618, 632, 629, 636, 636, 
##     630, 624, 632, 616, 605, 566, 562, 567, 582, 591, 613, 615, 
##     622, 616, 615, 608, 599, 493, 461, 435, 423, 545, 559, 566, 
##     577, 585, 606, 612, 647, 646, 666, 652, 651, 649, 643, 621, 
##     607, 609, 581, 551, 550, 553, 570, 573, 153, 156, 183, 190, 
##     253, 273, 280, 331, 355, 372, 383, 460, 468, 506, 524, 538, 
##     555, 569, 583, 603, 593, 610, 638, 629, 642, 631, 623, 570, 
##     567, 574, 574, 579, 581, 578, 584, 598, 621, 622, 624, 627, 
##     577, 527, 492, 478, 433, 422, 382, 363, 335, 328, 305, 298, 
##     288, 258, 250, 208, 590, 597, 603, 614, 615, 614, 606, 580, 
##     559, 550, 441, 382, 302, 292, 264, 228, 229, 180, 141, 388, 
##     332, 303, 281, 237, 239, 228, 242, 263, 260, 271, 283, 286, 
##     303, 319, 348, 389, 408, 411, 431, 442, 468, 496, 534, 307, 
##     490, 497, 511, 555, 580, 605, 610, 609, 604, 593, 589, 552, 
##     542, 560, 561, 560, 560, 584, 557, 526, 484, 463, 416, 308, 
##     119, 117, 54, -52, -99, -142, -162, -214, -249, -321, -372, 
##     -378, -397, -433, -457, -476, -271, -255, -216, -214, -158, 
##     -152, -111, -78, -43, 122, 170, 185, 235, 265, 351, 375, 
##     448, 465, 497, 501, 528, 540, 563, 559, 584, 592, 429, 444, 
##     439, 439, 482, 499, 525, 565, 557, 556, 518, 7, -80, -116, 
##     -172, -192, -237, -262, -296, -340, -323, 491, 423, 410, 
##     407, 408, 407, 407, 415, 422, 440, 454, 436, 443, 444, 444, 
##     438, 445, 438, 442, 441, 419, 438, 445, 443, 459, 457, 471, 
##     452, 455, 452, 452, 436, 423, 438, 425, 431, 427, 434, 428, 
##     435, 369, 419, 473, 551, 570, 598, 606, 630, 610, 623, 620, 
##     594, 580, 550, 508, 504, 490, 497, 201, 138, 105, 90, 90, 
##     121, 150, 197, 212, 283, 306, 394, 517, 546, 573, 583, 588, 
##     599, 623, 609, 608, 609, 591, 581, 564, 573, 290, 317, 382, 
##     438, 482, 509, 514, 555, 568, 581, 578, 591, 574, 590, 563, 
##     546, 531, 510, 511, 517, 503, 521, 523, 527, 535, 533, 516, 
##     526, 507, 483, 471, 472, 464, 480, 509, 546, 573, 585, 580, 
##     516, 426, 380, 349, 275, 250, 206, 169, 169, 178, 181, 486, 
##     479, 446, 382, 333, 291, 252, 218, 206, 220, 229, 266, 337, 
##     358, 368, 398, 460, 465, 489, 519, 511, 539, 569, 559, 568, 
##     569, 555, 543, 511, 500, 512, 567, 551, 510, 484, 448, 405, 
##     393, 348, 335, 296, 285, 300, 292, 293, 310, 329, 366, 385, 
##     407, 435, 439, 466, 552, 463, 448, 415, 382, 336, 323, 324, 
##     327, 323, 330, 346, 372, 377, 390, 460, 474, 477, 547, 564, 
##     606, 584, 575, 496, 491, 476, 473, 476, 465, 474, 479, 485, 
##     487, 509, 527, 546, 557, 594, 593, 582, 590, 570, 525, 521, 
##     518, 562, 566, 561, 564, 533, 524, 513, 496, 485, 487, 429, 
##     397, 389, 356, 314, 273, 216, 200, 176, 185, 160, 165, 172, 
##     164, 186, 209, 242, 254, 396, 251, -21, -91, -245, -293, 
##     -335, -355, -411, -431, -446, -458, -482, -476, -493, -484, 
##     -486, -474, -434, -399, -337, -277, 578, 588, 590, 521, 506, 
##     470, 448, 415, 388, 373, 285, 188, 126, 98, 74, 52, 12, -16, 
##     -85, -161, -186, -216, -211, -162, -141, -111, -71, -29, 
##     -7, 32, 30, 102, 236, 266, 294, 454, 487, 514, 520, 549, 
##     567, 581, 586, 583, 594, 597, 589, 580, 566, 500, 472, 455, 
##     331, 301, 270, 249, 188, 145, 91, 52, 28, -54, -84, -127, 
##     -235, -248, -209, -190, -170, -149, -115, -108, 89, 68, 41, 
##     -76, -90, -133, -143, -235, -244, -233, -178, -155, -132, 
##     77, 167, 241, 266, 295, 311, 354, 438, 449, 511, 534, 553, 
##     565, 560, 565, 558, 573, 563, 552, 511, 505, 476, 470, 422, 
##     378, 339, 285, 262, 209, 158, 107, 86, 37, -19, -84, -147, 
##     -218, -271, -276, -251, -241, -207, -195, -153, -97, -52, 
##     52, 101, 162, 224, 265, 331, 371, 373, 443, 455, 490, 526, 
##     555, 573, 573, 175, 199, 214, 240, 265, 311, 332, 396, 400, 
##     440, 436, 458, 485, 480, 508, 559, 588, 578, 577, 558, 528, 
##     460, 460, 461, 458, 447, 447, 448, 475, 495, 514, 515, 537, 
##     574, 582, 577, 589, 581, 580, 579, 557, 544, 524, 507, 489, 
##     455, 405, 375, 375, 368, 364, 374, 377, 402, 398, 396, 373, 
##     364, 412, 456, 477, 484, 489, 495, 492, 490, 497, 484, 493, 
##     487, 488, 490, 481, 480, 458, 433, 400, 387, 360, 337, 322, 
##     292, 274, 30, -115, -204, -107, -39, 24, 109, 141, 178, 250, 
##     321, 351, 396, 415, 447, 468, 487, 484, 515, 553, 559, 554, 
##     543, 548, 543, 535, 528, 531, 524, 477, 443, 362, 285, 243, 
##     160, 133, 83, 53, -127, -222, -231, -236, -249, -240, -195, 
##     -164, -118, -77, -24, 16, 529, 508, 498, 434, 426, 407, 392, 
##     329, 199, 136, 50, 5, -70, -112, -162, -250, -274, -284, 
##     -280, -255, -205, -177, -145, -93, -84, -52, -9, 67, 82, 
##     137, 187, 204, 241, 317, 334, 389, 394, 474, 558, 579, 598, 
##     600, 598, 596, 606, 608, 582, 585, 562, 486, 444, 409, 364, 
##     310, 246, 11, -40, -67, -112, -153, -198, -219, -216, -216, 
##     -203, -198, -189, -139, -135, 27, 64, 175, 196, -326, -324, 
##     -309, -287, -244, -217, -191, -143, -99, -94, -42, -33, 24, 
##     67, 130, 181, 223, 253, 268, 297, 318, 383, 428, 431, 511, 
##     525, 529, 538, 551, 547, 543, 547, 553, 548, 547, 544, 545, 
##     541, 536, 524, 515, 514, 499, 445, 417, 405, 371, 354, 323, 
##     295, 214, 118, 15, -38, -58, -91, -153, -233, -236, -271, 
##     519, 506, 517, 529, 511, 510, 502, 489, 461, 439, 428, 287, 
##     231, 202, 97, 26, -70, -207, -246, -260, -276, -259, -268, 
##     -256, -229, -23, 11, 56, 113, 222, 279, 330, 348, 414, 444, 
##     456, 480, 495, 501, 535, 543, 554, 553, 573, 562, 565, 568, 
##     574, 572, 568, 561, 547, 542, 529, 499, 446, 377, 298, 235, 
##     199, 166, 131, 96, 77, -30, -100, -158, -234, -188, -181, 
##     -157, -101, -37, 29, 83, 115, 143, 184, 197, 286, 298, 416, 
##     515, 578, 578, 579, 562, 558, 545, 486, 474, 422, 413, 209, 
##     124, 7, -71, -104, -150, -169, -215, -233, -256, -270, -263, 
##     -250, -220, -143, -136, -59, -40, 177, 199, 259, 300, 431, 
##     254, 266, 280, 308, 321, 388, 415, 461, 472, 505, 528, 560, 
##     581, 601, 611, 627, 471, 412, 389, 336, 296, 270, 251, 255, 
##     247, 226, 224, 214, 207, 206, 190, 198, 307, 339, 350, 375, 
##     392, 441, 444, 481, 526, 590, 634, 625, 623, 630, 605, 607, 
##     600, 590, 603, 600, 622, 638, 639, 620, 573, 514, 447, 418, 
##     414, 394, 396, 367, 373, 369, 363, 367, 374, 357, 367, 352, 
##     335, 322, 281, 233, 207, 165, 144, 129, 40, 42, 9, -26, -132, 
##     -154, -206, -231, -239, -226, -218, -200, -171, -163, -127, 
##     -96, -46, -21, -10, 21, 176, 219, 350, 373, 421, 443, 454, 
##     298, 373, 413, 425, 443, 469, 504, 517, 534, 544, 559, 560, 
##     566, 593, 585, 557, 540, 533, 523, 495, 487, 472, 435, 407, 
##     380, 366, 275, 178, 140, 104, 71, 64, 39, -11, -16, -45, 
##     -153, -170, -244, -257, -249, -237, -236, -213, -158, -147, 
##     -92, -71, -22, 52, 116, 265, 286, 393, 410, 428, 451, 461, 
##     518, 549, 550, 550, 562, 568, 560, 554, 548, 546, 533, 539, 
##     503, 501, 471, 415, 390, 386, 326, 273, 213, 144, -3, -13, 
##     -44, -63, -75, -91, -96, -116, -127, -169, -204, -212, -223, 
##     -218, -267, -276, -262, -246, -170, -134, -121, -55, -22, 
##     -9, 18, 53, 116, 315, 338, 413, 455, 484, 511, 542, 531, 
##     578, 585, 607, 591, 585, 588, 578, 579, 563, 555, 542, 496, 
##     429, 405, 363, 308, 242, 214, 165, -3, 30, 142, 169, 282, 
##     332, 434, 447, 471, 489, 524, 552, 586, 581, 586, 588, 583, 
##     583, 586, 568, 561, 531, 502, 505, 471, 326, 293, 84, 61, 
##     53, -32, -72, -88, -141, -165, -181, -190, -221, -237, -230, 
##     -245, -247, -250, -233, -227, -227, -162, -48, 8, 58, 110, 
##     134, 280, 300, 355, 379, 373, 392, 468, 477, 521, 605, 556, 
##     516, 508, 464, 244, 217, 129, 77, -27, -58, -93, -117, -110, 
##     -83, -26, 62, 141, 296, 385, 485, 541, 574, 611, 633, 627, 
##     647, 625, 626, 624, 613, 580, 568, 539, 521, 516, 505, 495, 
##     511, 520, 533, 561, 566, 591, 618, 636, 634, 646, 631, 607, 
##     458, 437, 320, 241, 199, 122, 97, 62, -21, -26, -37, -40, 
##     -38, -39, -33, 29, 53, 259, 362, 406, 426, 559, 601, 630, 
##     623, 630, 643, 644, 632, 607, 601, 571, 551, 529, 516, 509, 
##     495, 496, 508, 498, 509, 523, 523, 544, 557, 564, 588, 592, 
##     614, 643, 649, 640, 593, 467, 405, 618, 610, 607, 600, 581, 
##     531, 545, 525, 516, 506, 511, 520, 509, 511, 507, 517, 523, 
##     527, 530, 558, 566, 590, 612, 608, 607, 599, 564, 541, 531, 
##     490, 464, 431, 417, 294, 139, -140, -215, -266, -290, -326, 
##     -377, -401, -427, -431, -463, -451, -397, -233, -176, -163, 
##     -96, 154, 189, 336, 383, 427, 466, 503, 592, 604, 620, 611, 
##     565, 473, 397, 390, 387, 374, 381, 380, 402, 405, 417, 459, 
##     495, 509, 562, 565, 630, 619, 618, 527, 475, 413, 306, 269, 
##     196, 134, -238, -310, -403, -426, -449, -466, -482, -487, 
##     -473, -479, -462, -428, -258, -188, -153, -89, 157, 216, 
##     332, 382, 568, 583, 638, 631, 617, 527, 500, 470, 408, 377, 
##     365, 381, 384, 417, 415, 442, 489, 502, 615, 636, 639, 613, 
##     548, 505, 458, 284, 244, 162, 52, -158, -284, -314, -401, 
##     -414, -442, -473, -512, -483, -385, -360, -281, -140, -121, 
##     -48, 32, 214, 251, 334, 356, 422, 443, 564, 598, 606, 625, 
##     648, 663, 651, 609, 586, 517, 484, 440, 408, 402, 395, 396, 
##     466, 596, 618, 621, 603, 589, 554, 412, 284, 160, -43, -145, 
##     -415, -439, -465, -491, -506, -542, -542, -533, -470, -466, 
##     -396, -267, -186, -98, 5, 103, 199, 566, 573, 618, 628, 606, 
##     586, 520, 484, 425, 398, 390, 387, 382, 374, 365, 380, 388, 
##     462, 484, 549, 646, 643, 624, 620, 573, 552, 402, 311, 263, 
##     38, -166, -237, -335, -437, -451, -480, -500, -523, -534, 
##     -527, -512, -501, -486, -444, -292, -221, -127, -47, 129, 
##     165, 237, 267, 321, 384, 486, 571, 587, 621, 598, 590, 563, 
##     528, 514, 444, 426, 423, 401, 400, 425, 416, 442, 458, 484, 
##     508, 526, 581, 598, 607, 614, 590, 569, 535, 453, 390, 295, 
##     223, 195, 23, -100, -139, -214, -279, -491, -510, -501, -505, 
##     -499, -494, -468, -456, -391, -349, -302, -215, -156, 44, 
##     117, 221, 282, 317, 418, 453, 590, 625, 620, 617, 586, 518, 
##     425, 405, 382, 378, 387, 391, 451, -479, -500, -506, -482, 
##     -449, -380, -267, -215, -183, 171, 262, 361, 417, 472, 528, 
##     597, 602, 594, 590, 589, 610, 598, 528, 511, 461, 428, 226, 
##     194, 101, 113, 275, 407, 447, 539, 585, 597, 603, 600, 592, 
##     588, 574, 560, 538, 516, 511, 512, 523, 538, 576, 586, 586, 
##     585, 594, 607, 608, 611, 617, 606, 507, 459, 437, 361, 343, 
##     278, 239, 229, 197, 124, 116, 103, 99, 83, 87, 108, 158, 
##     237, 299, 411, 449, 448, 511, 514, 535, 563, 588, 590, 582, 
##     583, 572, 576, 547, 539, 532, 537, 521, 535, 544, 548, 545, 
##     553, 575, 566, 605, 620, 614, 618, 607, 599, 579, 549, 536, 
##     484, 453, 399, 300, 190, 156, 129, 121, 117, 119, 128, 144, 
##     174, 210, 244, 348, 391, 514, 529, 559, 572, 569, 575, 594, 
##     580, 578, 575, 572, 537, 527, 530, 536, 555, 582, 593, 590, 
##     602, 593, 581, 573, 477, 452, 416, 325, 257, 217, 181, 138, 
##     133, 134, 240, 285, 319, 333, 398, 439, 494, 505, 525, 575, 
##     573, 559, 550, 543, 511, 509, 512, 524, 533, 545, 555, 602, 
##     597, 619, 587, 583, 555, 533, 463, 350, 288, 247, 160, 143, 
##     99, 78, 20, 84, 104, 194, 258, 404, 471, 481, 513, 591, 598, 
##     611, 543, 530, 534, 527, 536, 535, 539, 542, 539, 536, 540, 
##     548, 543, 536, 540, 550, 551, 537, 553, 554, 542, 544, 550, 
##     548, 555, 548, 559, 564, 563, 559, 572, 578, 579, 592, 597, 
##     593, 596, 585, 570, 544, 446, 424, 223, 251, 281, 299, 334, 
##     342, 370, 407, 428, 445, 478, 469, 485, 504, 523, 527, 519, 
##     487, 487, 442, 407, 347, 248, 217, 88, 32, -43, -103, -201, 
##     -215, -208, -168, -152, -131, -85, -67, 0, 75, 100, 234, 
##     253, 278, 397, 451, 486, 558, 572, 578, 584, 588, 589, 585, 
##     587, 587, 575, 3, -109, -172, -341, -389, -396, -368, -318, 
##     -256, -96, 0, 43, 97, 132, 192, 221, 354, 410, 532, 549, 
##     425, 411, 400, 401, 402, 414, 424, 492, 490, 482, 479, 476, 
##     484, 467, 449, 445, 448, 455, 459, 452, 459, 447, 451, 445, 
##     450, 444, 431, 437, 450, 437, 440, 437, 439, 440, 439, 436, 
##     438, 437, 438, 437, 428, 429, 436, 423, 427, 431, 437, 428, 
##     426, 425, 430, 425, 422, 422, 422, 444, 431, 423, 422, 422, 
##     427, 430, 426, 429, 425, 420, 420, 427, 455, 465, 484, 501, 
##     526, 536, 548, 583, 608, 607, 424, 426, 435, 436, 433, 432, 
##     440, 439, 440, 438, 432, 444, 443, 493, 499, 511, 503, 509, 
##     501, 500, 477, 477, 493, 483, 492, 488, 477, 454, 441, 402, 
##     378, 242, 165, 85, -26, -109, -146, -196, -202, -184, -173, 
##     -143, -87, -37, 31, 93, 119, 164, 191, 239, 267, 288, 338, 
##     444, 459, 476, 509, 512, 525, 503, 504, 502, 508, 491, 464, 
##     458, 445, 377, 263, 201, 178, 128, -9, -68, -92, -144, -170, 
##     -185, -175, -96, 18, 129, 155, 197, 218, 261, 286, 322, 332, 
##     375, 390, 475, 501, 508, 515, 527, 511, 505, 484, 472, 468, 
##     434, 385, 323, 278, 248, 198, 129, 108, -27, -65, -131, -199, 
##     -220, -216, -180, -164, -118, -63, -25, 90, 120, 323, 339, 
##     422, 484, 516, 528, 543, 548, 547, 546, 539, 526, 517, 499, 
##     391, 351, 279, 55, -48, -92, -118, -146, -166, -184, -184, 
##     -178, -179, -117, -58, 7, 45, 157, 194, 263, 339, 368, 467, 
##     476, 489, 500, 496, 508, 525, 510, 513, 528, 524, 509, 496, 
##     454, 419, 381, 342, 287, 222, 58, 509, 502, 494, 489, 497, 
##     476, 467, 452, 431, 424, 383, 365, 334, 297, 279, 227, 191, 
##     136, 94, -61, -142, -178, -222, -214, -143, -77, -33, 37, 
##     87, 121, 155, 176, 346, 395, 461, 489, 503, 524, 516, 519, 
##     520, 492, 454, 366, 323, 63, 32, -53, -135, -193, -248, -264, 
##     -250, -224, -209, -186, -104, -38, 14, 34, 88, 110, 161, 
##     262, 310, 373, 428, 487, 510, 520, 520, 523, 525, 516, 513, 
##     523, 488, 458, 441, 368, 351, 296, 178, 41, 18, -77, -89, 
##     -103, -123, -159, -99, -48, -1, 80, 114, 139, 182, 265, 309, 
##     363, 372, 388, 410, 426, 444, 465, 466, 471, 462, 468, 466, 
##     440, 427, 408, 399, 364, 318, 297, 243, 198, 136, -89, -116, 
##     -150, -149, -176, -189, -211, -199, -190, -140, -114, 28, 
##     -64, -128, -160, -215, -204, -196, -154, -141, 48, 170, 214, 
##     319, 490, 502, 499, 508, 489, 495, 487, 485, 585, 588, 579, 
##     586, 574, 573, 569, 574, 582, 576, 568, 584, 575, 581, 586, 
##     594, 601, 609, 615, 626, 566, 559, 541, 520, 517, 513, 491, 
##     488, 492, 484, 480, 497, 485, 476, 482, 479, 509, 521, 552, 
##     566, 586, 146, 150, 149, 131, 132, 135, 130, 134, 140, 133, 
##     134, 150, 176, 181, 190, 209, 241, 315, 316, 349, 416, 481, 
##     478, 501, 547, 569, 578, 571, 568, 564, 562, 541, 540, 542, 
##     546, 525, 525, 520, 513, 514, 494, 501, 504, 504, 638, 618, 
##     611, 592, 581, 572, 558, 541, 486, 425, 427, 426, 428, 423, 
##     433, 438, 434, 447, 437, 441, 544, 514, 504, 483, 393, 375, 
##     352, 321, 287, 254, 216, 171, 101, 81, 25, -99, -139, -211, 
##     -249, -247, -289, -247, -214, 489, 482, 492, 472, 466, 476, 
##     453, 432, 426, 416, 372, 294, 250, 217, 147, 100, 29, 0, 
##     -17, -68, -110, -120, -167, -170, -200, -202, -215, -229, 
##     -231, -223, -238, -226, -224, -217, -176, -171, -144, -122, 
##     164, 203, 225, 270, 343, 420, 458, 511, 509, 535, 10, -13, 
##     -87, -96, -139, -149, -159, -137, -143, -126, -118, -91, 
##     -72, -45, 15, 97, 128, 160, 175, 209, 258, 328, 343, 378, 
##     431, 560, 565, 571, 568, 572, 577, 581, 589, 605, 607, 596, 
##     594, 578, 579, 584, 582, 541, 470, 419, 388, 372, 342, 327, 
##     267, 219, 211, 153, 69, 28, 1, -15, -26, -57, -94, -118, 
##     -136, -138, -126, -110, -88, -102, -58, -65, -30, -9, 1, 
##     24, 42, 58, 182, 249, 369, 380, 508, 517, 545, 574, 610, 
##     597, 607, 609, 625, 618, 630, 613, 617, 623, 607, 606, 594, 
##     589, 567, 527, 513, 478, 405, 362, 151, 115, 81, 75, 35, 
##     -16, -36, -111, -123, -103, -105, -98, -84, -63, -37, -26, 
##     49, 77, 92, 112, 192, 309, 371, 476, 502, 528, 552, 544, 
##     555, 553, 564, 559, 571, 574, 554, 558, 550, 541, 527, 529, 
##     502, 478, 462, 461, 422, 406, 356, 196, 219, 346, 377, 406, 
##     448, 454, 518, 512, 524, 531, 546, 555, 543, 556, 560, 284, 
##     180, 122, -21, -58, -133, -159, -182, -190, -199, -214, -231, 
##     -226, -221, -219, -198, -185, -166, -121, -91, -68, -54, 
##     -18, 18, 30, 77, 556, 572, 567, 585, 585, 582, 583, 592, 
##     578, 571, 552, 556, 503, 470, 447, 355, 297, 210, 168, 119, 
##     -189, -178, -87, 2, 13, 94, 154, 176, 288, 303, 359, 382, 
##     391, 400, 418, 425, 441, 467, 469, 480, 499, 483, 485, 440, 
##     454, 443, 442, 448, 441, 464, 456, 463, 467, 448, 455, 463, 
##     471, 484, 487, 503, 514, 525, 511, 525, 529, 537, 547, 539, 
##     557, 556, 559, 502, 511, 521, 538, 539, 540, 539, 544, 551, 
##     560, 573, 575, 584, 600, 622, 630, 642, 640, 606, 596, 598, 
##     521, 411, 355, 323, 312, 288, 277, 256, 242, 210, 163, 162, 
##     158, 161, 242, 268, 259, 258, 282, 287, 296, 316, 320, 357, 
##     438, 451, 493, 532, 554, 589, 591, 594, 612, 589, 591, 586, 
##     591, 586, 621, 590, 561, 548, 491, 446, 399, 381, 373, 360, 
##     342, 301, 258, 245, 247, 248, 238, 230, 159, 129, 106, 99, 
##     108, 138, 178, 297, 331, 364, 407, 529, 564, 588, 626, 638, 
##     632, 636, 645, 626, 623, 625, 610, 608, 599, 583, 588, 206, 
##     180, 179, 171, 186, 187, 188, 181, 192, 213, 203, 211, 215, 
##     221, 239, 271, 278, 294, 322, 337, 393, 419, 436, 476, 493, 
##     573, 589, 623, 625, 629, 640, 635, 618, 599, 593, 592, 580, 
##     586, 583, 591, 600, 601, 613, 608, 614, 618, 619, 634, 635, 
##     611, 589, 574, 547, 506, 480, 456, 439, 434, 409, 319, 297, 
##     290, 236, 187, 153, 149, 144, 152, 144, 162, 179, 189, 201, 
##     219, 247, 338, 360, 417, 430, 471, 503, 498, 518, 534, 542, 
##     560, 586, 585, 610, 624, 615, 615, 613, 612, 496, 496, 470, 
##     454, 440, 415, 352, 346, 297, 264, 239, 210, 203, 181, 182, 
##     181, 187, 199, 206, 210, 221, 238, 251, 263, 266, 307, 311, 
##     335, 377, 415, 437, 450, 473, 576, 586, 613, 618, 615, 635, 
##     619, 619, 612, 594, 587, 578, 520, 476, 467, 462, 415, 394, 
##     343, 323, 326, 312, 292, 273, 276, 264, 255, 260, 240, 253, 
##     137, 67, 44, 5, -11, -99, -134, -194, -202, -222, -252, -238, 
##     -238, -219, -136, -127, -113, -64, 133, 113, 52, 18, -8, 
##     -19, -64, -71, -90, -123, -141, -168, -171, -178, -188, -181, 
##     -171, -168, -159, -123, -108, -83, -38, -2, 10, 50, 65, 105, 
##     119, 140, 252, 255, 484, 496, 508, 527, 526, 528, 526, 515, 
##     517, 508, 492, 400, 363, 328, 154, 631, 641, 638, 643, 624, 
##     607, 597, 577, 593, 590, 575, 578, 586, 599, 600, 599, 608, 
##     618, 623, 661, 653, 656, 651, 632, 575, 566, 522, 493, 479, 
##     516, 547, 568, 570, 603, 612, 631, 629, 625, 624, 610, 590, 
##     560, 560, 546, 555, 568, 566, 612, 607, 600, 595, 593, 586, 
##     588, 593, 596, 602, 609, 610, 613, 614, 611, 617, 598, 612, 
##     558, 560, 531, 527, 588, 601, 580, 582, 591, 623, 624, 627, 
##     648, 632, 630, 609, 593, 598, 562, 510, 466, 457, 385, 370, 
##     350, 324, -85, -48, -3, 61, 93, 157, 172, 327, 358, 388, 
##     434, 504, 505, 517, 514, 493, 479, 468, 453, 414, 388, 366, 
##     317, 159, 107, 7, -86, -182, -186, -189, -153, -126, -53, 
##     -19, 40, 64, 126, 167, 179, 248, 315, 359, 375, 502, 496, 
##     519, 481, 487, 475, 480, 481, 496, 477, 480, 481, 478, 479, 
##     487, 482, 483, 494, 482, 483, 483, 484, 572, 538, 511, 500, 
##     472, 451, 428, 422, 398, 400, 406, 403, 413, 431, 423, 412, 
##     418, 418, 419, 420, 430, 422, 436, 426, 420, 423, 430, 427, 
##     631, 641, 637, 624, 209, 79, -52, -136, -402, -450, -462, 
##     -477, -478, -473, -383, -345, -265, -151, 32, -57, 19, 83, 
##     481, 563, 595, 622, 624, 623, 602, 594, 576, 540, 481, 440, 
##     433, 437, 420, 416, 422, 440, 461, 492, 506, 590, 589, 554, 
##     503, 455, 379, 341, 293, 267, 195, 151, 52, 40, 9, -15, 3, 
##     4, 16, 47, 72, 97, 197, 223, 262, 361, 397, 468, 507, 541, 
##     580, 599, 602, 620, 615, 634, 630, 581, 549, 515, 513, 504, 
##     494, 504, 490, 487, 491, 497, 497, 506, 514, 524, 573, 617, 
##     630, 632, 634, 621, 585, 582, 268, 235, 175, 98, 50, 24, 
##     2, 7, -5, -12, -2, 53, 143, 177, 219, 235, 347, 369, 482, 
##     511, 538, 585, 601, 625, 627, 639, -286, -285, -268, -281, 
##     -267, -233, -178, -156, -79, -51, 5, 61, 134, 252, 264, 299, 
##     390, 415, 441, 445, 465, 482, 488, 509, 508, 510, 263, 302, 
##     392, 493, 519, 560, 564, 566, 555, 553, 550, 551, 546, 499, 
##     461, 386, 367, 297, 275, 227, 203, 148, -10, 74, 217, 285, 
##     302, 339, 373, 449, 487, 499, 515, 512, 514, 521, 533, 350, 
##     315, 312, 266, 245, 220, 41, -14, -37, -79, -104, -180, -185, 
##     -188, -157, -151, -139, -76, 4, 66, 107, 148, 161, 390, 10, 
##     45, 71, 139, 165, 193, 254, 257, 301, 331, 377, 406, 422, 
##     435, 480, 487, 513, 522, 567, 576, 573, 549, 540, 520, 501, 
##     412, 388, 317, 205, 161, 402, 349, 286, 264, 227, 209, 171, 
##     134, 15, -58, -128, -181, -190, -213, -212, -150, -24, -13, 
##     26, 72, 108, 166, 169, 211, -319, -268, -241, -121, -43, 
##     64, 369, 424, 456, 505, 511, 595, 644, 646, 642, 568, 567, 
##     532, 522, 517, 476, 413, 348, 332, 303, 265, 201, 193, 165, 
##     144, 83, 67, 51, 53, 64, 72, 81, 82, 92, 77, 92, 538, 544, 
##     554, -513, -496, -477, -458, -407, -249, 37, 236, 264, 322, 
##     402, 447, 480, 499, 522, 536, 545, 546, 551, 531, 531, 497, 
##     498, 469, 471, 487, 493, 519, 556, 554, 622, 610, 573, 559, 
##     558, 474, 387, 366, 234, 101, -73, -166, -324, -363, -415, 
##     -447, -462, -498, -517, -534, -547, -522, -495, -449, -427, 
##     -398, -375, -313, -272, -221, -69, -16, 82, 138, 244, 313, 
##     368, 415, 520, 543, 562, 577, 589, 565, 563, 529, 542, 525, 
##     530, 526, 525, 520, 529, 552, 563, 578, 577, 589, 591, 580, 
##     564, 508, 455, 442, 380, 169, -42, -228, -269, -374, -422, 
##     -454, -520, -536, -558, -567, -552, -562, -553, -555, -555, 
##     -525, -513, -487, -454, -406, -333, -229, -204, -142, -65, 
##     -20, 11, 69, 210, 259, 435, 475, 542, 560, 578, 584, 560, 
##     550, 541, 518, 524, 507, 495, -194, -286, -406, -457, -514, 
##     -530, -548, -539, -556, -573, -566, -564, 597, 584, 590, 
##     567, 552, 531, 507, 496, 458, 398, 121, 79, -32, -43, -103, 
##     -118, -170, -250, -268, -264, -235, -234, -205, -198, -167, 
##     -128, -119, -82, -52, 142, 201, 254, 323, 387, 401, 430, 
##     448, 487, 522, 535, 559, 562, 582, 578, 557, 547, 536, 532, 
##     504, 471, 468, 436, 382, 319, 273, 255, 159, 84, 67, -58, 
##     -80, -116, -231, -235, -245, -247, -245, -172, -163, -120, 
##     -100, -74, -33, 34, 87, 133, 143, 199, 237, 268, 302, 310, 
##     342, 423, 438, 450, 483, 511, 515, 537, 550, 560, 569, 559, 
##     528, 492, 422, 303, 290, 231, 211, 136, 105, 88, 4, -29, 
##     -57, -95, -120, -135, -186, -204, -229, -248, -247, -245, 
##     -241, -210, -197, -175, -150, -114, -5, 57, 123, 217, 237, 
##     273, 336, 390, 400, 420, 456, 457, 551, 570, 566, 578, 585, 
##     574, 574, 558, 561, 545, 540, 519, 476, 400, 164, 114, 74, 
##     35, 7, -31, -69, -87, -148, -179, -217, -243, -260, -271, 
##     -285, -277, -243, -250, -192, -160, -94, -64, 550, 536, 540, 
##     547, 531, 535, 528, 538, 530, 537, 537, 538, 545, 549, 535, 
##     545, 556, 552, 558, 559, 572, 573, 576, 582, 587, 587, 578, 
##     575, 397, 74, 1, -110, -207, -341, -406, -439, -475, -500, 
##     -500, -525, -521, -506, -513, -510, -509, -522, -510, -518, 
##     -511, -513, -500, -511, -508, -465, -399, -351, -243, -194, 
##     -53, 207, 273, 280, 323, 382, 420, 432, 486, 498, 510, 540, 
##     542, 536, 534, 538, 537, 552, 568, 586, 585, 592, 560, 502, 
##     376, 314, 267, 194, 128, 83, 5, 231, 288, 320, 366, 437, 
##     469, 483, 510, 537, 537, 546, 557, 578, 592, 590, 604, 607, 
##     590, 584, 579, 579, 574, 567, 529, 513, 414, 376, 309, 287, 
##     215, 149, 96, 13, -94, -264, -312, -332, -428, -479, -519, 
##     -511, -501, -505, -495, -513, -515, -507, -510, -494, -481, 
##     -478, -376, -152, 113, 162, 253, 330, 530, 561, 551, 560, 
##     570, 570, 560, 573, 579, 596, 586, 587, 564, 531, 356, 151, 
##     24, -31, -280, -361, -480, -503, -518, -504, -505, -504, 
##     -508, -503, -506, -480, -468, -446, -397, -290, -176, -150, 
##     -87, -19, 8, 108, 222, 315, 319, 547, 560, 562, 577, 559, 
##     569, 573, 575, 579, 585, 587, 535, 488, 444, 422, 378, 296, 
##     255, 183, -8, -112, -139, -212, -283, -331, -367, -386, -397, 
##     -438, -451, -471, -455, -466, -434, -423, -387, -350, -309, 
##     -271, -198, -160, -139, -90, -57, -2, 58, 226, 301, 394, 
##     446, 514, 555, 574, 573, 572, 570, 568, 570, 564, 587, 575, 
##     571, 577, 559, 564, 537, 515, 502, 462, 448, 358, 242, 183, 
##     117, -213, -308, -349, -388, -395, -402, -412, -433, -450, 
##     -441, -433, -400, -385, -349, -289, -271, -210, -164, -103, 
##     15, 101, 127, 243, 249, 333, 388, 429, 444, 548, 554, 562, 
##     555, 552, 540, 526, 523, 540, 541, 566, 577, 615, 609, 607, 
##     532, 273, 123, -21, -108, -181, -273, -290, -367, -385, -396, 
##     -414, -403, -420, -416, -414, -406, -400, -379, -329, -304, 
##     -249, -32, 1, 65, 96, 305, 354, 446, 551, 569, 577, 455, 
##     456, 521, 523, 529, 521, 535, 546, 574, 564, 578, 564, 555, 
##     553, 536, 540, 521, 511, 503, 482, 472, 421, 417, 447, 470, 
##     516, 549, 567, 448, 360, 91, -254, -339, -382, -446, -498, 
##     -519, -513, -442, -167, -104, -13, 102, 154, 220, 284, 523, 
##     593, 589, 581, 576, 552, 534, 514, 479, 461, 484, 464, 471, 
##     473, 482, 504, 499, 540, 552, 565, 600, 590, 569, 538, 338, 
##     296, -134, -183, -310, -389, -467, -487, -495, -461, -412, 
##     -369, -225, -150, -76, 85, 126, 196, 266, 284, 371, 412, 
##     467, 524, 549, 545, 538, 519, 485, 461, 431, 425, 430, 443, 
##     444, 441, 458, 505, 500, 554, 573, 570, 568, 554, 470, 432, 
##     381, 348, 173, -53, -137, -200, -371, -473, -363, -342, -184, 
##     -129, -99, 520, 546, 563, 583, 588, 593, 599, 605, 594, 598, 
##     572, 564, 551, 518, 495, 455, 454, 399, 351, 317, 269, 248, 
##     224, 199, 177, 135, -16, -36, -113, -120, -139, -143, -206, 
##     -253, -254, -207, -204, -182, -107, -37, 13, 93, 125, 193, 
##     208, 270, 354, 352, 397, 397, 432, 471, 501, 506, 535, 552, 
##     561, 567, 577, 591, 593, 584, 580, 553, 550, 540, 518, 492, 
##     446, 311, 256, 173, 139, 97, 23, -53, -72, -79, -91, -109, 
##     -126, -143, -153, -246, -258, -290, -278, -275, -265, -264, 
##     -239, -87, -19, -2, 35, 62, 84, 116, 131, 183, 268, 279, 
##     310, 342, 387, 404, 434, 456, 498, 510, 536, 552, 557, 560, 
##     547, 514, 496, 480, 445, 362, 342, 272, 226, 197, 173, 155, 
##     113, 94, 61, 48, 1, -62, -87, -97, -149, -168, -185, -205, 
##     -203, -250, -255, -285, -288, -279, -273, -271, -257, -174, 
##     -168, -130, -87, 7, 50, 141, 226, 263, 274, 375, 406, 434, 
##     434, 473, 474, 481, 492, 506, 508, 507, 520, 554, 558, 562, 
##     574, 577, 597, 575, 553, 546, 555, 527, 464, 431, 391, 373, 
##     320, 295, 261, 220, 183, 122, 88, 76, 32, 20, -64, -81, -105, 
##     -110, -125, -150, -170, -168, -183, -219, -219, -247, -277, 
##     -296, -322, -359, -369, -347, -318, -297, -266, -262, -245, 
##     -220, -208, -196, -153, -131, -45, -31, 79, 115, 174, 215, 
##     252, 271, 339, 379, 474, 507, 523, 530, 558, 582, 608, 610, 
##     650, 656, 659, 661, 650, 651, 643, 654, 641, 631, 624, 612, 
##     604, 603, 599, 595, 590, 591, 592, 599, 598, 603, 614, 607, 
##     596, 602, 604, 595, 607, 612, 605, 595, 597, 594, 591, 593, 
##     628, 624, 631, 634, 637, 634, 621, 611, 598, 543, 506, 502, 
##     346, 208, 188, 102, 54, 4, -67, -90, -114, -177, -238, -264, 
##     -327, -351, -344, -359, -332, -201, -156, 187, 216, 232, 
##     341, 381, 388, 437, 474, 535, 537, 560, 589, 620, 633, 659, 
##     653, 639, 637, 608, 612, 598, 580, 581, 595, 582, 585, 578, 
##     582, 590, 605, 616, 618, 632, 637, 648, 650, 656, 641, 608, 
##     598, 510, 410, 368, 343, 307, 264, 193, 152, 117, 70, 48, 
##     25, -32, -38, -56, -77, -122, -161, -190, -205, -230, -244, 
##     -274, -269, -289, -287, -293, -293, -269, -251, -209, -168, 
##     -157, 117, 151, 206, 221, 257, 295, 307, 452, 448, 466, 508, 
##     562, 584, 579, 620, 617, 622, 642, 642, 644, 647, 619, 626, 
##     592, 604, 597, 600, 610, 611, 649, 646, 647, 641, 573, 563, 
##     531, 507, 351, 330, 219, 185, 118, 50, -40, -90, -106, -141, 
##     -154, -274, -328, -350, -363, -373, -378, -332, -317, -278, 
##     -186, -158, -73, -68, -25, 8, 66, 147, 169, 262, 295, 317, 
##     375, 443, 447, 494, 490, 516, 533, 573, 514, 480, 448, 403, 
##     388, 299, 287, 252, 182, 147, 116, 61, -23, -102, -186, -209, 
##     -261, -304, -310, -316, -302, -308, -318, -317, -288, -255, 
##     -240, -232, -214, -192, -145, -123, -104, -81, -47, 20, 138, 
##     177, 246, 316, 345, 380, 398, 452, 551, 574, 633, 656, 660, 
##     653, 648, 621, 621, 605, 592, 593, 594, 636, 646, 663, 654, 
##     654, 644, 629, 618, 471, 390, 219, 150, 100, 41, 12, -71, 
##     -132, -176, -248, -312, -355, -372, -397, -383, -358, -310, 
##     -263, -243, -219, -189, -136, -69, 26, 238, 281, 323, 367, 
##     429, 455, 503, 559, 628, 633, 626, 636, 626, 627, 610, 624, 
##     630, 575, 569, 573, 585, 610, 609, 616, 614, 617, 629, 599, 
##     583, 571, 522, 511, 454, 390, 354, 301, 153, 76, -93, -129, 
##     -143, -171, -245, -275, -351, -368, -370, -357, -356, -332, 
##     -341, -306, -289, -275, -262, -220, -200, -152, -73, -26, 
##     -6, 47, 72, 120, 169, 193, 245, 335, 456, 492, 496, 598, 
##     635, 629, 681, 676, 670, 651, 642, 629, 647, 645, 653, 669, 
##     673, 677, 670, 663, 656, 646, 623, 602, 471, 397, 348, 326, 
##     154, 107, 49, 27, -82, -91, -149, -171, -273, -311, -337, 
##     -395, -398, -396, -369, -336, -327, -220, -195, -104, -38, 
##     3, 25, 120, 142, 227, 339, 364, 406, 451, 474, 535, 609, 
##     617, 621, 640, 649, 639, 642, 627, 623, 631, 602, 590, 589, 
##     581, 590, 567, 546, 527, 490, 434, 413, 411, 391, 374, 377, 
##     371, 440, 467, 614, 607, 626, 641, 628, 484, 441, 375, 270, 
##     148, 44, -107, -143, -233, -337, -516, -525, -522, -518, 
##     -505, -490, -451, -357, -343, -228, -83, 31, 93, 143, 228, 
##     296, 380, 439, 476, 505, 627, 621, 635, 600, 601, 551, 516, 
##     376, 375, 378, 388, 416, 441, 616, 613, 623, 595, 589, 526, 
##     387, 140, 118, 40, -76, -139, -236, -455, -467, -496, -533, 
##     -513, -503, -458, -446, -419, -285, -173, -76, 107, 173, 
##     545, 554, 554, 554, 552, 541, 558, 544, 534, 534, 547, 539, 
##     537, 537, 538, 532, 535, 550, 519, 525, 541, 537, 541, 546, 
##     588, 608, 602, 615, 621, 620, 630, 605, 571, 535, 470, 404, 
##     360, -72, -110, -179, -257, -382, -394, -432, -460, -471, 
##     -468, -457, -424, -390, -357, -310, -217, -151, -56, 29, 
##     84, 195, 223, 283, 417, 437, 407, 402, 375, 335, 316, 290, 
##     255, 198, 23, -36, -202, -231, -380, -465, -507, -495, -446, 
##     -451, -286, -269, -225, -194, -133, -100, -78, 158, 176, 
##     226, 289, 324, 392, 418, 456, 455, 483, 509, 480, 444, 427, 
##     283, 201, 181, 106, -70, -114, -243, -261, -326, -377, -462, 
##     -489, -510, -517, -518, -463, -436, -388, -346, -291, -123, 
##     -65, 88, 163, 305, 365, 429, 435, 463, 489, 496, 487, 476, 
##     455, 419, 382, 319, 295, 246, 66, 21, -96, -299, -321, -461, 
##     -486, -505, -518, -502, -494, -460, -359, -328, -272, -215, 
##     -149, -118, 1, 71, 120, 219, 312, 403, 426, 466, 491, 496, 
##     517, 520, 536, 513, 492, 501, 404, 378, 336, 191, 141, 118, 
##     43, 11, -120, -222, -453, -508, -484, 382, 350, 273, 183, 
##     75, -3, -36, -279, -308, -364, -423, -464, -506, -516, -506, 
##     -478, -452, -421, -310, -279, -103, -43, -13, 63, 284, 300, 
##     335, 412, 439, 488, 491, 540, 586, 595, 598, 617, 603, 598, 
##     588, 517, 455, 382, 330, 292, 223, 199, 36, -77, -116, -258, 
##     -331, -367, -406, -436, -444, -479, -508, -510, -508, -441, 
##     -362, -335, -213, 12, 110, 224, 349, 372, 408, 467, 553, 
##     547, 563, 555, 566, 560, 539, 500, 481, 454, 414, 386, 315, 
##     263, 236, 81, -23, -96, -127, -198, -340, -406, -439, -478, 
##     -503, -493, -483, -464, -446, -395, -340, -292, -224, -152, 
##     -67, 41, 93, 120, 268, 295, 333, 384, 410, 423, 475, 528, 
##     540, 545, 542, 521, 492, 456, 416, 351, 185, -74, -110, -307, 
##     -370, -408, -422, -501, 560, 542, 502, 466, 444, 310, 149, 
##     71, -72, -198, -404, -471, -479, -496, -497, -517, -521, 
##     -514, -499, -489, -468, -449, 482, 484, 478, 490, 484, 481, 
##     473, 474, 481, 480, 480, 473, 475, 472, 477, 483, 470, 470, 
##     487, 470, 473, 471, 485, 471, 473, 474, 471, 473, 476, 465, 
##     485, 472, 488, 471, 473, 466, 480, 466, 470, 472, 479, 479, 
##     478, 479, 474, 472, 487, 468, 474, 471, 475, 482, 472, 471, 
##     480, 480, 482, 477, 480, 507, 487, 493, 488, 497, 510, 530, 
##     524, 526, 544, 533, 540, 535, 534, 539, 525, 520, 517, 505, 
##     496, 475, 462, 445, 440, 417, 416, 432, 439, 458, 472, 476, 
##     484, 519, 497, 509, 518, 513, 527, 519, 517, 522, 526, 531, 
##     508, 512, 506, 506, 519, 505, 508, 500, 508, 501, 509, 502, 
##     509, 500, 502, 507, 510, 511, 515, 527, 514, 514, 508, 505, 
##     516, 528, 517, 516, 512, 515, 517, 528, 518, 525, 523, 527, 
##     513, 522, 508, 522, 508, 519, 512, 514, 519, 527, 509, 509, 
##     511, 503, 511, 516, 510, 526, 513, 507, 514, 516, 508, 505, 
##     507, 505, 506, 505, 500, 506, 508, 503, 505, 519, 503, 499, 
##     505, 496, 514, 501, 504, 508, 512, 509, 517, 516, 527, 538, 
##     541, 554, 569, 577, 585, 587, 599, 584, 552, 487, 488, 453, 
##     443, 431, 428, 432, 444, 441, 444, 453, 463, 471, 469, 473, 
##     466, 465, 460, 474, 454, 449, 439, 442, 441, 471, 466, 491, 
##     491, 519, 538, 573, 592, 577, 568, 486, 456, 394, 367, 278, 
##     237, 87, -20, -209, -264, -363, -423, -418, -408, -359, -299, 
##     -257, -190, -165, -98, 27, 62, 326, 482, 521, 521, 526, 517, 
##     512, 439, 397, 367, 364, 364, 374, 444, 459, 490, 534, 543, 
##     554, 523, 499, 323, 197, 31, -51, -181, -213, -305, -345, 
##     -384, -339, -296, -181, -112, -25, 144, 315, 362, 402, 480, 
##     545, 544, 527, 486, 463, 401, 352, 376, 452, 461, 499, 527, 
##     544, 547, 533, 342, 432, 492, 512, 539, 550, 552, 531, 487, 
##     289, 179, 57, -16, -200, -246, -308, -304, -274, -205, 3, 
##     106, 209, 303, 348, 447, 491, 529, 520, 498, 373, 383, 388, 
##     389, 408, 413, 436, 455, 501, 438, 390, 390, 398, 460, 541, 
##     541, 490, 400, 369, 178, 126, 32, -103, -246, 549, 543, 546, 
##     343, 311, 242, 200, 123, 84, -25, -121, -206, -241, -284, 
##     -294, -302, -287, -258, -208, -196, -145, -56, 57, 147, 206, 
##     299, 455, 534, 543, 533, 393, 403, 417, 506, 533, 523, 507, 
##     453, 250, 211, 81, -206, -231, -272, 582, 581, 597, 585, 
##     586, 586, 581, 586, 560, 522, 475, 462, 397, 263, 129, 31, 
##     10, -112, -144, -160, -170, -192, -179, -182, -190, -190, 
##     -164, -142, -141, -111, -115, -66, -72, 12, 31, 57, 78, 119, 
##     150, 175, 189, 305, 321, 341, 369, 367, 423, 452, 478, 502, 
##     512, 534, 529, 536, 556, 558, 574, 568, 581, 583, 579, 583, 
##     582, 589, 581, 594, 594, 595, 576, 572, 566, 515, 482, 470, 
##     435, 392, 285, 242, 34, -2, -21, -58, -176, -183, -196, -197, 
##     -196, -181, -165, -131, -72, -66, 16, 80, 152, 184, 221, 
##     237, 272, 286, 321, 367, 385, 411, 441, 482, 494, 497, 520, 
##     523, 543, 547, 561, 565, 566, 561, 567, 562, 555, 550, 542, 
##     543, 537, 529, 504, 468, 452, 423, 326, -37, -69, -145, -174, 
##     -214, -219, -247, -249, -257, -271, -278, -250, -242, -231, 
##     -213, -195, -156, -149, -63, 118, 218, 275, 367, 397, 473, 
##     506, 505, 515, 544, 560, 569, 594, 599, 606, 594, 612, 604, 
##     608, 583, 585, 570, 564, 558, 540, 533, 496, 490, 469, 411, 
##     352, 291, 168, 112, 88, 3, -42, -106, -251, -281, -328, -335, 
##     -334, -350, -342, -343, -333, -327, -320, -316, -311, -311, 
##     -297, -291, -293, -288, -274, -276, -213, -208, -192, -130, 
##     -116, -80, -62, 30, 156, 258, 285, 418, 426, 532, 543, 559, 
##     570, 573, 584, 568, 568, 556, 552, 564, 552, 556, 536, 528, 
##     521, 521, 529, 541, 533, 524, 510, 506, 501, 499, 512, 511, 
##     523, 524, 512, 527, 526, 535, 544, 538, 551, 550, 559, 558, 
##     559, 559, 567, 570, 589, 575, 580, 578, 590, 579, 561, 543, 
##     542, 539, 526, 520, 535, 530, 518, 519, 520, 513, 517, 516, 
##     521, 521, 532, 554, 602, 607, 594, 527, 472, 444, 386, 293, 
##     178, 114, 57, -44, -358, -428, -510, -559, -569, -571, -581, 
##     -584, -584, -595, -581, -596, -597, -590, -590, -582, -586, 
##     -581, -565, -552, -540, -526, -412, -368, -310, -243, -148, 
##     -48, -24, 619, 629, 625, 620, 612, 557, 418, 351, 317, 219, 
##     175, 125, -139, -200, -288, -338, -340, -457, -483, -537, 
##     -549, -574, -571, -578, -562, -566, -552, -542, -517, -429, 
##     -354, -334, -255, -189, -114, -66, 126, 174, 237, 315, 336, 
##     392, 485, 516, 524, 551, 555, 557, 577, 577, 572, 526, 501, 
##     490, 509, 491, 515, 538, 543, 567, 615, 618, 622, 618, 590, 
##     564, 480, 440, 392, 291, 219, 96, 14, -72, -146, -160, -281, 
##     -341, -385, -436, -470, -491, -534, -551, -534, -555, -559, 
##     -549, -548, -535, -533, -507, -496, -477, -467, 501, 516, 
##     524, 532, 522, 508, 481, 474, 480, 481, 482, 536, 577, 589, 
##     479, 328, 264, -50, -143, -172, -221, -272, -407, -388, -321, 
##     -277, -229, -213, -112, -90, -44, 24, 49, 95, 153, 287, 398, 
##     455, 476, 487, 240, 272, 319, 372, 448, 487, 512, 539, 562, 
##     557, 565, 538, 502, 490, 482, 491, 482, 512, 522, 524, 518, 
##     521, 518, 514, 525, 586, 610, 538, 517, 517, 516, 532, 526, 
##     531, 514, 511, 519, 510, 516, 508, 529, 504, 513, 509, 502, 
##     505, 517, 555, 604, 576, 565, 562, 528, 440, 363, 278, 96, 
##     -21, -211, -262, -294, -330, -381, -400, -371, -340, -286, 
##     -244, -39, 166, 264, 452, 517, 555, 571, 530, 518, 478, 468, 
##     442, 458, 50, 333, 354, 523, 552, 567, 547, 462, 420, 417, 
##     412, 414, 419, 426, 440, 443, 464, 488, 491, 533, 558, 576, 
##     575, 562, 553, 463, 404, 374, 41, -11, -105, -159, -328, 
##     -434, -417, -384, -355, -261, -248, -91, -30, 71, 146, 187, 
##     298, 446, 469, 575, 580, 577, 563, 534, 503, 462, 450, 412, 
##     404, 402, 395, 422, 471, 466, 479, 483, 530, 538, 577, 579, 
##     573, 553, 549, 528, 494, 386, 325, 287, 11, -57, -75, -152, 
##     -186, -295, -330, -367, -404, -418, -387, -372, -327, -224, 
##     -145, -89, 11, 119, 412, 465, 487, 514, 531, 551, 500, -13, 
##     23, 93, 141, 205, 314, 414, 457, 495, 523, 554, 577, 552, 
##     534, 508, 465, 459, 384, 363, 366, 359, 369, -320, -315, 
##     -269, -133, -58, 23, 41, 124, 281, 349, 457, 575, 607, 629, 
##     624, 622, 572, 545, 493, 453, 422, 408, 398, 381, 374, 375, 
##     382, 377, 392, 586, 611, 608, 537, 502, 416, 379, 149, 22, 
##     -84, -262, -309, -350, -387, -410, -411, -386, 449, 442, 
##     425, 431, 423, 427, 435, 424, 430, 421, 429, 382, 385, 384, 
##     380, 390, 391, 395, 415, 406, 415, 443, 447, 451, 461, 468, 
##     466, 475, 477, 471, 473, 485, 479, 478, 476, 478, 477, 476, 
##     484, 487, -288, -293, -233, -166, -138, -57, 19, 130, 220, 
##     331, 383, 400, 471, 484, 500, 496, 486, 423, 364, 367, 366, 
##     373, 383, 388, 418, 444, 452, 487, 522, 537, 484, 338, 312, 
##     241, 205, 105, 0, -73, -315, -351, -340, -313, -154, -66, 
##     -23, 63, 223, 302, 325, 388, 559, 575, 589, 625, 645, 652, 
##     643, 643, 611, 600, 592, 606, 608, 614, 613, 626, 621, 640, 
##     633, 625, 608, -234, -212, -126, -92, -68, -17, 171, 240, 
##     266, 317, 391, 404, 450, 457, 495, 502, 496, 435, 386, 392, 
##     384, 390, 419, 464, 511, 556, 553, 543, 517, 504, 462, 434, 
##     349, -55, -220, -279, -296, -292, -272, -251, -163, -80, 
##     20, 124, 152, 221, 319, 368, 401, 491, 503, 516, 469, 352, 
##     -23, -47, -128, -247, -302, -333, -333, -308, -297, -258, 
##     -184, -163, -101, 11, 38, 103, 197, 384, 481, 509, 502, 396, 
##     381, 471, 478, 466, 469, 461, 465, 467, 464, 477, 462, 473, 
##     483, 471, 469, 473, 481, 472, 475, 472, 483, 486, 473, 472, 
##     476, 470, 477, 479, 478, 478, -501, -392, -287, -199, -160, 
##     -63, 61, 90, 181, 231, 353, 440, 483, 550, 567, 602, 611, 
##     630, 617, 622, 614, 617, -439, -397, -288, -180, 169, 198, 
##     241, 470, 548, 541, 578, 587, 614, 618, 621, 621, 638, 606, 
##     603, 588, 572, 554, 535, 498, 300, 387, 409, 503, 536, 539, 
##     582, 606, 611, 624, 632, 619, 605, 608, 576, 559, 548, 513, 
##     509, 493, 485, 485, 488, 511, 542, 545, -327, -306, -278, 
##     -101, -17, 488, 582, 511, 500, 498, 465, 465, 440, 453, 443, 
##     441, 452, 444, 455, 456, 454, 453, 451, 455, 450, 447, 443, 
##     462, 445, 453, 366, 386, 440, 451, 480, 503, 560, 578, 586, 
##     580, 571, 502, 470, 146, 53, -71, -153, -177, -247, -376, 
##     -398, -416, -397, 450, 432, 427, 420, 422, 443, 474, 499, 
##     562, 580, 586, 567, 526, 306, 123, 84, -259, -309, -369, 
##     -345, -283, -129, 462, 467, 501, 484, 512, 544, 563, 565, 
##     559, 538, 488, 428, 371, 268, 141, -60, -131, -227, -377, 
##     -389, -429, -454, -459, -452, -432, -343, 57, 106, 258, 277, 
##     333, 410, 465, 484, 523, 559, 574, 576, 570, 564, 554, 526, 
##     514, 432, 430, 443, 443, 434, 446, 478, -358, -416, -505, 
##     -519, -521, -518, -495, -516, -512, -518, -457, -450, -280, 
##     -41, 51, 112, 146, 256, 289, 355, 412, 500, 507, 509, 367, 
##     403, 418, 463, 490, 525, 535, 547, 544, 565, 567, 579, 577, 
##     562, 558, 549, 541, 527, 484, 408, 367, 169, 74, 11, -26, 
##     -68, -281, -167, -412, -457, -501, -510, -503, -496, -498, 
##     -498, -516, -505, -501, -495, -489, -450, -443, -358, -301, 
##     -188, -41, 54, -20, 92, 105, 131, 192, 237, 260, 302, 401, 
##     428, 566, 571, 596, 584, 599, 600, 587, 576, 592, 586, 560, 
##     558, 565, 546, 542, 549, 541, 537, 540, 493, 504, 583, 600, 
##     615, 546, 503, 403, 196, 155, 92, 43, -395, -424, -438, -459, 
##     -503, -516, -520, -544, -566, -562, -559, -541, -543, -539
##     ), roll_dumbbell = c(13.05217456, 13.13073959, 12.85074981, 
##     13.43119971, 13.37871611, 13.38245941, 13.12694911, 12.75083041, 
##     13.15463353, 13.33033728, 13.13073959, 13.10320545, 13.38245941, 
##     13.41047767, 13.07948887, 13.35068947, 13.04835112, 13.2064634, 
##     13.07574259, 12.75083041, 13.38245941, 13.37871611, 13.35451266, 
##     13, 13.05217456, 12.80059675, 12.82749458, 13.05217456, 13.05217456, 
##     13.07948887, 12.52525589, 13.10687346, 13.29883416, 13.30261297, 
##     13.35451266, 13.07574259, 13.35451266, 13.65402259, 13.05217456, 
##     13.07574259, 12.80059675, 13.13073959, 13.70755934, 13.35451266, 
##     12.45410714, 13.29883416, 13.13073959, 13.40681541, 13.13771445, 
##     13.76151374, 13.099337, 13.2, 13.71142288, 13.43498726, 14.27102761, 
##     13.58004112, 13.40681541, 13.65784101, 13.41047767, 13.10320545, 
##     13.15834491, 13.37871611, 13.40681541, 13.10320545, 13.38245941, 
##     13.15834491, 13.32663754, 13.15834491, 12.88149984, 13.38245941, 
##     12.88493577, 13.43498726, 13.63302557, 13.00511957, 12.22402703, 
##     12.9, 13.35451266, 13.10320545, 13.33033728, 12.85797711, 
##     13.15834491, 12.83108713, 12.75445697, 13.05579987, 12.80059675, 
##     13.08303562, 12.80426595, 12.78106438, 12.0244618, 12.80426595, 
##     12.77751367, 12.78106438, 12.5743532, 12.80773972, 12.47653742, 
##     12.27185896, 12.82370572, 13.30261297, 12.77751367, 12.57798757, 
##     12.25323852, 12.42819346, 12.77751367, 12.47653742, 12.54787837, 
##     12.55158748, 12.80426595, 13.38245941, 12.82749458, 13.02493063, 
##     12.50265881, 12.45048376, 12.25323852, 12.72421627, 13.02493063, 
##     13.13073959, 13.32663754, 13.04835112, 13.00153631, 13.07948887, 
##     13.07574259, 12.29776333, 12.55158748, 11.71925996, 13.37476825, 
##     13.0286334, 13.35451266, 12.85074981, 13.0717973, 13.2272917, 
##     13.2272917, 13.2272917, 13.2272917, 13.2272917, 13.2272917, 
##     13.2272917, 13.2272917, 13.2272917, 13.2272917, 13.2272917, 
##     13.2272917, 13.2272917, 13.2272917, 13.2272917, 13.2272917, 
##     13.2272917, 13.2272917, 13.2272917, 13.2272917, 13.2272917, 
##     13.2272917, 54.35838085, 57.07881998, 72.98216077, 100.5474081, 
##     100.5474081, 99.39757848, 103.4620508, 101.1974236, 101.1974236, 
##     105.2744319, 117.1941746, 123.7075443, 122.7417762, 118.1, 
##     -78.49260198, -93.11186058, -101.6058237, -76.76639489, -76.87968291, 
##     -63.19692458, -35.00783839, -37.8529583, -35.63049267, -28.97517014, 
##     1.322947318, -20.03392952, -37.12256309, -10.06653219, -2.836887421, 
##     -6.823943896, -42.84574286, -42.45143963, -37.6742285, -40.92809354, 
##     -48.64626212, -43.26190002, -48.55030681, -40.43208654, -32.87926915, 
##     -27.65777757, -24.47814054, -34.77387824, -37.20402256, -37.63476913, 
##     -32.52143936, -27.18662723, -36.14756337, -47.31322066, -40.37061302, 
##     -32.23723077, -33.62702056, -38.08890352, -32.6935205, -28.37212206, 
##     -23.84574407, -29.69769938, -31.68858092, -26.58608945, -28.8, 
##     -30.88789615, -30.17074541, -34.13867407, -25.91760456, -24.35674266, 
##     -32.01352092, -41.30257816, -23.56194865, -24.90096638, -31.12177532, 
##     -30.76116462, -34.6898822, -29.52778721, -30.88369143, -23.77884455, 
##     -30.23303463, -36.73145458, -33.95484269, -30.13864614, -27.86579054, 
##     -26.54912731, -24.23737626, -30.03078162, -25.64762309, -25.52493521, 
##     -26.97447709, -28.72839569, -29.74736114, -28.45727698, -26.72625746, 
##     -24.1, -23.90482641, -27.96718788, -28.68477608, -25.32791771, 
##     -23.01752025, -15.57938628, -21.48873438, -25.91760456, -33.92944933, 
##     -33.90380305, -35.72457464, -30.18858578, -31.9341351, -25.20144824, 
##     -20.57464691, -25.43096298, -30.38680783, -27.86579054, -29.14980877, 
##     -29.46318199, -29.156649, -34.78083274, -34.15471947, -32.74060352, 
##     -28.49711141, -32.87201795, -30.10308023, -27.74645551, -32.21092268, 
##     -31.86071689, -32.521881, -32.56146662, -29.12279793, -31.57488074, 
##     -27.72006787, -24.69816267, -24.97623208, -27.24723378, -28.13611917, 
##     -28.4115488, -29.85174133, -28.32995723, -30.92261902, -29.99341189, 
##     -31.13202999, -28.36995469, -27.56427992, -27.20121783, -22.23122977, 
##     -22.594122, -26.06187616, -28.91207174, -28.60819126, -29.61793107, 
##     -29.23956544, -33.71435034, -24.30420223, -31.22150662, -27.70159012, 
##     -30.93262749, -22.62715274, -25.25383654, -26.21914504, -13.20667072, 
##     -20.23345715, -24.47237512, -26.12185346, -23.13749082, -26.11310578, 
##     -23.3032811, -27.82837112, -13.60405914, -3.4, -10.13159954, 
##     -7.010959084, -11.40252251, -2.496945743, -10.11772723, -17.93606436, 
##     -13.02992708, -12.33751129, -24.15287641, 5.417953886, 0, 
##     -22.31801351, -34.69074839, -39.34196876, -49.553019, -47.52262995, 
##     -35.52403463, -11.37971237, -31.51339404, -23.85025889, -22.14175892, 
##     -18.4751089, -32.12185448, -15.03778668, -17.44656042, -19.87536066, 
##     -1.096674079, -32.00238279, -6.954070232, -19.52699057, -41.07763173, 
##     -36.87142444, -32.90134494, -47.53933078, -37.45408853, -12.58023171, 
##     11.01993739, 36.25102845, -42.38478735, -36.92137516, -27.65777757, 
##     -11.75509238, -11.14724311, -17.93260872, -13.84821392, -16.76515334, 
##     -10.51781594, -26.10520462, -30.13864614, -26.18454065, -21.22144503, 
##     -20.4999976, -24.34287951, -22.182223, -23.24330015, -31.57247928, 
##     -36.98885201, -32.74658654, -20.30831961, -19.90606267, -18.7825432, 
##     -8.675363761, -21.17203908, -32.10590704, -11.47178485, -37.99753517, 
##     -40.33116843, -15.59860984, -18.77108875, -3.339109769, -1.05752529, 
##     -40.09229463, -37.65365718, 4.995449967, 10.72149359, 6.050209937, 
##     -15.3234127, -15.19988976, -12.89068249, -16.07356596, 9.759998594, 
##     3.066497461, -20.155598, -28.07865266, -22.63594939, -21.80830741, 
##     -8.7, -23.73448043, -20.60047183, -20.74846258, -19.75555667, 
##     -15.76278873, -14.29509552, -14.91441399, -2.307760607, -8.174622676, 
##     -8.332362721, -14.39354296, -26.40741407, -18.99854887, -5.957116721, 
##     -20.86440102, -25.42365425, -13.49053563, 5.145715536, 29.64287339, 
##     15.69825876, 3.725056038, 8.498223275, 7.833896067, -1.630458866, 
##     -27.58606957, -21.31939702, -17.9739971, -28.96672309, -34.54960054, 
##     -33.84976995, -8.46040023, -12.18452285, -1.230666316, -14.97915527, 
##     -11.42270931, -13.53465593, -9.226425053, 3.799295349, 0, 
##     -18.18621215, -26.97447709, -3.118577354, -11.43196638, -16.04979352, 
##     -8.617943738, -12.64991587, -3.045096946, -13.03034728, 0, 
##     19.39996805, -5.911610765, 9.589522736, -9.489494997, -18.45174989, 
##     -1.0596011, -19.71460338, -21.95500611, -25.01265409, -30.70293936, 
##     -17.62810241, -2.181183764, 1.2, -3.33251073, -14.36348141, 
##     -18.73420155, -10.35718999, -4.290505956, -4.069644583, -5.86939418, 
##     -10.17046284, -16.96742855, -19.04019821, -28.77895528, -11.81733602, 
##     -4.2, -11.7256693, -10.24319536, -6.073823108, -7.146409083, 
##     -5.094543673, 0, -15.3842768, -19.08971214, -25.87888657, 
##     -16.58764049, -20.89913701, -8.20151066, 4.291740576, 0, 
##     13.17800184, 13.00371882, 1.848789985, -5.39599918, -19.88416876, 
##     -36.23527038, -38.83923031, -30.06169128, -27.50801491, -23.2536255, 
##     -20.01881035, -25.29713206, -10.45040273, -19.02785258, -12.8878868, 
##     -11.8, -30.2997993, -14.43422198, -13.65740937, -13.06254039, 
##     -13.79969053, -11.37315489, -16.51687011, -11.60368682, 1.040162889, 
##     -12.77692081, -2.129146044, -7.547132287, -4.36444493, -2.660603502, 
##     3.361146893, 3.531306409, -15.85090882, 14.61915859, 24.16705689, 
##     39.24263357, 31.89614449, 18.25058836, 11.81027665, -10.4790528, 
##     -29.84989316, -36.1, -30.98439536, -26.42723458, -4.611226169, 
##     -10.95034341, -1.216110734, 2.738784018, 24.35080889, 15.38768785, 
##     -2.343446099, -2.215712321, -20.330093, -24.31812528, -21.12095732, 
##     1.068821048, 5.278191587, -5.640933593, -13.65063112, -11.2483291, 
##     -11.03535974, 3.5, 0, 0, 2.386936269, 11.1946341, 3.177852098, 
##     -3.107515561, -7.693865339, -2.106703147, -9.632447168, -4.303398335, 
##     -7.531826134, -3.154227235, -10.31882647, -1.063970279, -18.07672635, 
##     -20.97666621, -16.96456692, -6.376850829, -8.08632182, -15.76686497, 
##     4.539401999, 9.715991097, 0, 3.898077074, 3.9166363, 0, -8.522879853, 
##     -18.62163387, -10.8, -10.09583884, -36.82328386, -13.05595099, 
##     -31.46957653, -14.32964562, -28.72697092, -21.26198087, -11.6589247, 
##     7.94396293, -1.241812914, 11.12984373, -12.42781428, 0, 2.521230998, 
##     10.65410463, 9.437700358, 1.3, 8.19420231, 7.550912412, 2.638975686, 
##     5.653088706, 18.96446057, 17.55883586, 40.1791989, 23.40308476, 
##     20.38530401, 21.30474048, 24.10963791, -9.547922569, -8.755643254, 
##     -27.37592756, -23.49822039, -16.31582248, 2.350069744, -2.413202576, 
##     5.515450797, -9.039904816, -2.584430941, 10.51483564, -12.25121682, 
##     11.83910882, 2.538433598, 8.563600849, 3.745613424, -18.61673932, 
##     5.933214398, -13.38964132, -17.53871853, -11.89376703, -4.00086729, 
##     2.134596138, 3.362096593, 13.04951825, 3.674969905, 6.253586999, 
##     21.99879774, 1.500468972, 1.608168806, -11.90445156, 27.33395384, 
##     30.17065719, 19.07223835, 3.479620703, -10, -21.19740187, 
##     -9.867345415, 2.41972865, 11.3580786, 6.237022864, 1.121074355, 
##     9.867804982, 17.97662905, 6.981943738, -19.6247811, -12.15221315, 
##     0, -7.298515505, 7.754704994, 33.8620116, 23.235377, 18.41382732, 
##     26.55825994, -25.43432115, -16.21724979, -22.69204887, -48.01847828, 
##     -16.56723401, -16.05381813, 8.950498901, 44.07503511, 19.36022788, 
##     -35.68983958, 7.011265428, -37.14038031, -21.95175599, 1.129336864, 
##     23.50423084, -25.80478247, -25.21233272, -5.561511103, 3.644471695, 
##     12.90414072, 16.95963983, -10.93104704, -18.2028911, -25.9173948, 
##     -24.09445469, 2.422567181, 7.805946032, 9.172025957, 11.90934365, 
##     -5.845390622, 46.80142844, 46.61909609, 47.84273127, 47.43524565, 
##     48.82609707, 47.43524565, 46.86036198, 47.02013235, 49.31799202, 
##     50.00060941, 48.66033135, 47.92950937, 47.51270328, 47.85705771, 
##     48.82017551, 48.66033135, 46.95516903, 48.57707431, 49.30491139, 
##     48.81883578, 49.71736751, 49.45904565, 49.12973507, 49.86331389, 
##     46.66302606, 47.25805325, 46.53641955, 46.87986305, 48.17957103, 
##     45.69016153, 46.6431369, 47.21203988, 47.70845205, 49.1334488, 
##     49.79993028, 49.921541, 49.12973507, 46.59320325, 46.66167782, 
##     46.85623897, 47.09991774, 47.09241015, 47.37071742, 49.4365784, 
##     39.32060737, 41.05196956, 46.3640523, 44.93463777, 44.83205556, 
##     50.43267843, 49.1562972, 48.28009083, 46.26973339, 43.52790461, 
##     41.73342231, 41.8, 42.07664164, 41.75713673, 41.73342231, 
##     41.45068746, 42.35950527, 43.14701783, 41.78347669, 44.966912, 
##     45.36757915, 44.20042308, 47.03710241, 45.46690784, 43.98491865, 
##     47.94525083, 47.17167803, 46.95729912, 46.06929476, 45.02587973, 
##     47.14890644, 44.69068067, 43.82181128, 45.08136287, 47.4, 
##     49.9966541, 52.62903922, 49.88483398, 45.70866766, 45.30857284, 
##     45.07419953, 44.21326588, 44.51548322, 44.31618815, 41.28616451, 
##     42.57446817, 40.56895049, 41.6476585, 41.85070629, 42.0718209, 
##     40.84138314, 41.04079735, 41.41141131, 43.01011739, 41.54246522, 
##     40.41054814, 41.6131928, 46.72284164, 42.62428925, 38.70182261, 
##     38.40446631, 41.85476808, 42.28675945, 47.91016696, 49.07732922, 
##     48.97921155, 45.07790744, 44.41691976, 41.61462537, 41.92188013, 
##     43.37704597, 43.29943368, 43.16606246, 43.79241314, 44.44524658, 
##     42.86735593, 44.23851829, 42.27808552, 40.87797862, 41.44315117, 
##     43.46811585, 42.06134367, 40.52436077, 42.05417284, 42.57784426, 
##     40.66525058, 39.97156219, 39.62268219, 41.23817561, 42.20885714, 
##     39.65791887, 40.9856665, 38.93746521, 41.09125176, 40.4, 
##     39.55212194, 39.2788627, 37.77311402, 38.89352864, 38.29150102, 
##     40.28471144, 39.97156219, 40.87797862, 39.21143028, 37.18851893, 
##     38.75772001, 38.96131188, 38.84429443, 38.09449878, 37.51143473, 
##     37.05998294, 38.73635624, 36.90959762, 36.98588802, 36.39539658, 
##     37.90796487, 39.93642309, 40.25402509, 36.71516077, 36.73007134, 
##     41.5295018, 39.26060118, 33.60872121, 39.58363267, 38.62075642, 
##     37.77852779, 38.04794403, 37.18851893, 36.78088584, 35.51633308, 
##     35.0992176, 36.64854556, 39.51254754, 35.96651476, 36.3, 
##     43.31679263, 43.16459011, 39.58363267, 36.89952929, 36.30752998, 
##     37.70587665, 37.90393513, 38.24091781, 37.98011804, 40.48638528, 
##     40.0603013, 41.84224541, 41.97675783, 32.83940017, 34.92201493, 
##     41.12745964, 36.82035327, 33.29061346, 37.57157623, 38.90982262, 
##     39.6, 39.16168345, 39.79133586, 37.9876422, 36.75270582, 
##     35.66261279, 35.5191085, 31.80650709, 32.25524433, 87.62588612, 
##     61.54797087, 12.06785531, 35.5602583, 53.76832531, 28.97517014, 
##     60.41648469, -12.31702211, -11.40229373, -5.194076469, 4.328774995, 
##     12.92203518, 9.549131716, 11.19595932, 11.9428926, -43.92762838, 
##     -44.17555458, -35.85653675, -38.66886262, 57.19522428, 37.62170338, 
##     0, -15.75438074, -3.7, 32.15845504, 37.91856591, 35.55022605, 
##     36.8916796, 38.17517004, 35.99580551, 30.85121453, 35.55213301, 
##     35.74638327, 35.1827369, 34.51681892, 35.97828622, 33.54733271, 
##     34.94259319, 38.06140694, 37.43379909, 33.66598252, 34.52537007, 
##     35.28525604, 30.25961362, 40.88232879, 40.9, 39.39476944, 
##     30.60381832, 32.95409041, 37.87319599, 40.20940102, 37.64449214, 
##     36.07916762, 31.57528261, 31.6924926, 31.86570712, 33.72224369, 
##     34.46005888, 36.18227425, 36.07793331, 34.20591555, 37.37411134, 
##     36.96745141, 35.14965364, 35.52076848, 33.7306591, 41.79675732, 
##     44, 47.66941109, 46.36163622, 47.51750701, 48.00375195, 49.16758194, 
##     49.50428453, 50.17357192, 50.89309618, 49.8259946, 48.17142406, 
##     47.82501621, 48.58526244, 48.42036065, 47.83835767, 48.91045363, 
##     49.7445077, 48.98985366, 49.92669754, 43.42538468, 41.99481219, 
##     40.31441234, 39.38774555, 38.29150102, 37.77122234, 38.26111092, 
##     39.09604772, 37.40809158, 35.11169911, 35.61539249, 34.48035797, 
##     35.56358843, 36.08206406, 37.50996708, 36.61051316, 34.90201093, 
##     36.22353399, 36.30676108, 36.551929, 34.98652025, 36.38768249, 
##     36.05313584, 35.21337607, 34.9996526, 37.26141876, 37.87813893, 
##     35.52475082, 32.64679442, 32.67135589, 34.06857744, 36.55999435, 
##     40.02828321, 43.36695839, 49.60123218, 45.21395767, 37.67959468, 
##     41.7153468, 37.97458595, 40.31265068, 40.33908819, 39.99408104, 
##     38.12120691, 48.64023762, 55.31117825, 39.9409485, 42.2, 
##     41.63209526, 40.08435301, 41.79026728, 40.62034662, 40.78128346, 
##     41.63112742, 43.26542633, 41.79026728, 41.9324708, 42.57729687, 
##     41.05062013, 42.36911989, 46.5660334, 45.21314304, 43.29531589, 
##     43.98126589, 46.04311595, 45.14434023, 45.21827619, 41.09090325, 
##     39.89410626, 48.74581519, 47.84493168, 46.54986862, 44.15726523, 
##     38.04934039, 40.14941593, 39.20696255, 40.6607149, 44.80612879, 
##     33.24780816, 39.75765137, 42.43086019, 42.88797399, 40.1078517, 
##     35.05197026, 39.34664501, 39.00352278, 39.57134347, 39.37715196, 
##     38.66250186, 39.8, 40.05202636, 42.93432488, 44.81048642, 
##     45.60954669, 46.24267054, 38.51695463, 39.83117869, 44.54609246, 
##     45.40029625, 44.42202287, 45.557972, 45.14467152, 44.39470735, 
##     44.57789547, 49.78214747, 49.69691024, 49.62705482, 48.73564022, 
##     48.66457777, 46.9809561, 45.23599814, 43.12691408, 43.8692505, 
##     49.09621924, 51.82403252, 52.18002093, 50.01463056, 46.30406558, 
##     46.52668175, 46.65264298, 46.84077568, 47.58759461, 46.44593254, 
##     44.03030648, 44.81807161, 44.7675498, 45.84309562, 46.19951996, 
##     46.39025867, 45.07837719, 45.23764877, 44.9159352, 40.97985668, 
##     41.12980482, 43.04253744, 44.66399528, 44.26451587, 40.75980844, 
##     41.56000961, 44.81905922, 44.67849096, 45.91045433, 45.39682952, 
##     42.50992213, 35.76799714, 34.2, 38.71663839, 41.53655035, 
##     42.82208076, 42.31741996, 48.94152762, 54.79310861, 62.30117226, 
##     63.18426612, 62.51113361, 58.90801331, 59.39597281, 55.26187242, 
##     57.42919991, 58.88481124, 57.33611469, 52.34989168, 56.56065534, 
##     56.04468102, 56.29100669, 57.65676929, 54.88823002, 50.34215746, 
##     50.9026601, 57.44273655, 68.74957723, 64.3442381, 41.9324708, 
##     48.50158925, 52.32947385, 68.06009846, 64.21806077, 63.2772895, 
##     62.42794008, 59.92805781, 58.30589113, 61.02086682, 61.40050309, 
##     59.57978624, 60.69165837, 61.86229289, 56.49801814, 56.50084871, 
##     57.33488457, 57.23228324, 41.32351734, 42.42073887, 48.58185502, 
##     48.86850754, 56.49269054, 68.25257527, 68.66904491, 59.72701822, 
##     63.10793875, 59.66500647, 58.62895028, 58.09461417, 53.22336267, 
##     55.82237782, 55.76039169, 60.47606535, 60.69928924, 59.00354201, 
##     63.52469639, 62.46424322, 59.0851263, 59.53970364, 61.299175, 
##     61.71727023, 59.00893897, 61.09036495, 52.52281786, 51.95825959, 
##     46.96468842, 53.04234025, 57.18800691, 57.72662987, 57.76124942, 
##     57.2468472, 53.35676571, 56.86877471, 56.08762908, 53.71631167, 
##     52.49348706, 53.49430419, 61.67565245, 62.62734077, 64.93123518, 
##     62.70582454, 58.88867911, 53.68275923, 53.24462592, 56.28019136, 
##     60.95320807, 59.28591472, 60.28901657, 63.47428221, 62.71594666, 
##     63.34465527, 60.70017212, 61.97687658, 57.33087574, 56.27725191, 
##     60.17040822, 62.68620922, 49.8916477, 51.86593731, 50.78622246, 
##     65.63684995, 68.04306346, 62.09232656, 63.72340568, 63.82905345, 
##     60.72729024, 64.86013076, 62.04210662, 60.58826424, 59.53774482, 
##     61.35444726, 61.18673761, 63.89510962, 56.7, 59.13930059, 
##     62.58401409, 57.18101986, 54.46676369, 55.72054335, 56.30087381, 
##     56.57219916, 58.58431871, 58.74290026, 55.67210143, 56.45440203, 
##     60.2070853, 57.82738059, 60.11924421, 59.66958386, 59.11347814, 
##     57.20435726, 61.19475272, 59.66926657, 58.41195875, 57.83370061, 
##     56.55736588, 57.7, 51.95023904, 47.7355087, 58.85263705, 
##     30.37535606, 53.90132916, 52.35783208, 61.02830215, 51.17151355, 
##     54.75460965, 59.40181859, 48.88723609, 44.06491551, 48.75937879, 
##     65.03340903, 59.61714398, 58.05589767, 55.23476752, 56.2676406, 
##     60.17040822, 54.99182688, 57.05760691, 63.19585554, 66.63045765, 
##     62.7030541, 55.1773968, 60.89367413, 55.49982317, 56.85446673, 
##     60.94819398, 54.04291513, 49.77828591, 48.34736612, 45.69481897, 
##     47.047055, 50.71133401, 54.54665258, 62.81941099, 60.58826424, 
##     64.41653255, 64.95717428, 53.62550532, 48.8, 54.1829837, 
##     56.00620177, 47.4193223, 52.39564589, 55.50350526, 48.52081753, 
##     55.12687302, 55.32986089, 53.35480945, 55.28713353, 52.50812604, 
##     54.24745934, 54.23016502, 56.31076216, 55.69238695, 53.29040883, 
##     51.57257844, 50.8433713, 52.22114934, 50.09277404, 53.18768938, 
##     50.8, 58.10549821, 52.22374832, 57.67102939, 54.63600244, 
##     56.01964753, 52.95835853, 53.09496446, 58.22898471, 48.10688464, 
##     44.70379683, 50.87606625, 51.99027873, 60.7118313, 58.63770841, 
##     55.9893465, 60.45777869, 59.06563093, 55.01193207, 62.30436524, 
##     66.89640743, 64.21719826, 56.88342963, 46.02046516, 66.49084174, 
##     65.90076333, 60.67624476, 54.28276459, 57.39273146, 55.24430545, 
##     58.90024297, 61.51219103, 53.48588413, 52.32783221, 58.61656909, 
##     54.87132379, 52.89811714, 52.25188287, 48.25469602, 43.5490315, 
##     40.12845553, 53.68275923, 59.1611955, 60.93459713, 60.01688069, 
##     58.04172062, 58.05510369, 59.13930059, 61.25446907, 63.49099745, 
##     64.10684158, 60.82209096, 53.68098512, 52.71957657, 50.98346634, 
##     54.1559523, 56.19216267, 52.26379461, 53.31227981, 53.58868677, 
##     51.19560385, 50.34189318, 52.47290547, 54.04843314, 51.43062001, 
##     55.69235692, 53.77678334, 52.78550183, 55.31319606, 54.62764918, 
##     52.91919152, 53.15653608, 54.49419225, 51.35146039, 51.59255185, 
##     49.11846868, 47.55604932, 47.96197509, 51.39994435, 57.74904822, 
##     59.77939092, 62.20080788, 57.51972523, 51.10059697, 55.10722576, 
##     47.51088049, 54.44653211, 46.93687256, 43.11248081, 49.10219364, 
##     40.35471942, 53.73100081, 48.29208558, 47.11319457, 59.63768441, 
##     59.7, 55.11348834, 51.37751876, 39.9786686, 36.99426935, 
##     47.66965238, 51.4160339, 61.42485697, 54.08764261, 50.44669016, 
##     48.01889395, 45.4681698, 41.48728473, 47.85135073, 51.21323201, 
##     53.3679195, 56.38083193, 54.40385165, 55.69803388, 54.9518162, 
##     53.36006245, 53.85349976, 57.7632382, 58.9, 47.839807, 54.38310145, 
##     53.80004582, 42.59322003, 20.09808962, 42.17612557, 49.98951687, 
##     51.9621643, 59.51657856, 63.06080099, 59.42299151, 64.82943834, 
##     64.85048702, 62.47281317, 63.34429531, 69.13420228, 55.36973899, 
##     45.82555453, 54.5258811, 58.03549742, 57.956447, 61.45066072, 
##     63.26708037, 64.59088891, 61.32990013, 58.65602647, 57.16501042, 
##     58.88138419, 56.77555919, 59.9352129, 60.5467517, 58.51376941, 
##     60.5467517, 60.20686581, 61.06772023, 61.21056086, 59.8747625, 
##     61.22735288, 54.29921636, 50.44579212, 51.84170173, 50.22184001, 
##     53.79693295, 58.38768095, 55.29670557, 57.56050961, 43.50409499, 
##     40.05969817, 44.81764619, 56.92976378, 59.8887704, 59.09755851, 
##     57.9075333, 63.12956653, 63.83158918, 58.92059854, 62.4033426, 
##     54.31683605, 53.47101536, 55.39551502, 54.39644033, 59.58924174, 
##     60.08463777, 57.34960597, 62.00744591, 56.28750238, 62.63544983, 
##     61.34446532, 52.81249097, 55.47837251, 55.00630706, 55.2037821, 
##     57.91625729, 56.9, 60.52333941, 63.2589906, 57.50318625, 
##     57.9246175, 59.37110397, 59.47589349, 58.78841638, 57.20435726, 
##     56.8454589, 59.10267891, 57.62271463, 56.62188759, 54.52556942, 
##     54.73606012, 56.82325689, 57.35910936, 53.22230733, 54.98995504, 
##     57.213368, 57.49684428, 53.8386829, 55.99668461, 60.32608969, 
##     55.01711241, 56.48911094, 58.56338509, 55.99717322, 54.68302609, 
##     57.72467497, 60.29266902, 56.09441332, 50.27586883, 57.12109042, 
##     46.23414462, 55.67144405, 55.54433295, 57.73740877, 60.01137347, 
##     61.47208922, 62.04879592, 56.09450292, 52.2731976, 53.01598116, 
##     55.94786374, 57.49533568, 55.28838602, 61.13659735, 67.23724677, 
##     51.21323201, 47.20681592, 44.7679292, 46.20907247, 49.51107798, 
##     53.2, 63.07962545, 62.80727252, 62.23927449, 62.5925873, 
##     62.11544118, 61.48693797, 58.37929055, 59.47772856, 58.73067726, 
##     57.98090456, 57.26368757, 60.19901231, 58.26641207, 57.31804917, 
##     64.16415279, 66.25960272, 66.99146101, 66.88917759, 61.86202094, 
##     58.83479078, 58.44256685, 60.18365025, 56.97584992, 56.83693122, 
##     60.16355242, 57.30016659, 58.67997498, 60.98110764, 55.59738659, 
##     62.15828703, 55.61457616, 63.20696287, 60.86213605, 54.3, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.9, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.9, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     114.9687462, 101.9018776, 100.8874765, 104.2061775, 102.9696801, 
##     57.54246505, 70.54211972, 66.62199039, 119.6267458, 72.44571195, 
##     76.03780292, 83.69163047, 81.33588622, 80.46041149, 87.83437981, 
##     77.85486341, 117.4235782, 96.85089807, 104.5703112, 135.0808349, 
##     28.61034937, -51.38562759, -35.62294762, 0, -43.58712269, 
##     -44.66362641, -59.30535202, -94.15173469, -69.609158, -75.25277764, 
##     -78.53981634, -82.8334987, -103.9826724, -103.5795241, -99.87577385, 
##     -99.94820534, -115.0090934, -134.9208254, -135.656376, -117.3958973, 
##     -110.8523764, -104.1304196, -111.0571797, -113.0285664, -136.4043171, 
##     -152.0331583, -119.4361455, -126.7911458, -115.0261992, -126.2283312, 
##     -127.3028464, -128.885684, -111.7963347, -99.42310584, -99.46129624, 
##     -87.57508482, -85.45068851, -106.192718, -74.11544011, -70.36389513, 
##     -80.79864913, 21.99879774, 33.04226479, 141.4935949, 91.50513915, 
##     109.4418414, 98.00125245, 116.6208904, 112.0580048, 115.4770328, 
##     110.7148718, 102.1787638, 111.6893468, 105.8785145, 97.81225596, 
##     98.67374426, 82.7667443, 87.34691226, 93.30981, 98.26495289, 
##     106.0400115, 97.87719389, 96.53872237, 98.37190119, 114.0800122, 
##     118.1937338, 113.5347569, 82.92273921, 85.80498177, 99.3072385, 
##     21.70885726, 103, 108.0636325, 19.57080499, -86.85393953, 
##     -108.1355802, -19.73955598, 28.0343532, -76.71928563, -61.84107411, 
##     -92.43478821, -78.15221556, -91.29077216, -60.90366098, -84.05558403, 
##     -71.53798667, -86.21700547, -119.028995, -151.6457044, -141.9259402, 
##     -139.3783181, -123.9841439, -113.3152926, -125.4054429, -114.7365495, 
##     -106.3697822, -119.7004152, -78.53981634, -101.9141344, -108.6589552, 
##     -136.0971945, -111.9162886, -116.1318006, -97.78331347, -67.85256343, 
##     -98.93545461, -95.05468408, -95.53166181, -101.9018776, -41.5452169, 
##     -84.03029591, -42.05343353, -18.2835137, -15.68156853, -69.39805949, 
##     54.04195003, 54.04195003, 72.97276562, 72.97276562, 91.37460643, 
##     91.22972438, 90.4325682, 102.5141272, 120.9592571, 101.8, 
##     -114.9617962, -68.63917838, -83.18392776, -122.4749396, -93.80474918, 
##     -83.26147106, -93.29487511, -49.76186734, -97.48912955, -86.05102901, 
##     -23.79411248, -67.47409422, -83.24762404, -95.20617841, -112.6043981, 
##     -118.9758331, -104.2899579, -102.6282448, -95.93553574, -147.3880557, 
##     -139.2434549, -136.1802055, -112.7619826, -114.6484771, -63.69381393, 
##     -52.94703358, -71.11612141, -14.04897018, 11.65110628, -14.18970546, 
##     -19.73955598, 0, 62.90148024, 117.6620135, 96.27462085, 83.46683977, 
##     98.13076082, 98.43356968, 102.5034456, 96.36818668, 90.26898357, 
##     87.24440027, 95.64224815, 84.71596871, 75.51140545, 98.52579467, 
##     108.7153354, 104.5598239, 108.8384089, 95.29693655, 89.15176852, 
##     83.22467548, 90.75933341, 83.73282086, 52.82587394, 51.91656514, 
##     72.6, -108.3370191, -73.95927949, -74.39494333, -85.47906742, 
##     -84.03029591, -117.6150155, -92.7295218, -73.28151018, -72.97276562, 
##     -81.14969697, -110.0993234, -114.6484771, -128.0904971, -129.5873157, 
##     -97.64543658, -115.3450349, -84.44875752, -75.22246596, -105.0098833, 
##     -91.56886325, -31.96872591, 38.57869316, 43.29943368, 106.3432614, 
##     108.8813668, 106.5, 95.06945297, 83.81131451, 85.33864189, 
##     87.88041862, 110.7642972, 90.77248751, 102.139306, 65.94835642, 
##     63.98932021, 100.6021577, 84.10207482, 89.21239105, 81.73617388, 
##     66.42070915, 74.42487098, 57.62655862, 51.66828137, -11.69084965, 
##     67.10385401, 82.90778614, 58.51743969, 93.17888389, 91.84427059, 
##     101.749039, 64.04906624, 61.34161149, 98.81285086, 107.7256999, 
##     96.58700589, 86.49411771, 70.67046846, 59.59030456, 51.79487336, 
##     27.56427992, 55.84124212, 71.77689096, 49.53512703, -6.972979491, 
##     27.24263737, -53.76832531, 12.26800515, -27.76282435, -41.87059796, 
##     -72.3597087, -78.45346051, -75.21787089, -74.65355162, -81.76450458, 
##     -67.40228584, -72.5, -97.04197984, -109.0739314, -116.6208904, 
##     -91.88899404, -97.23891605, -90.2675246, -107.3137201, -114.5825221, 
##     -113.5896667, -110.7841599, -116.0811224, -115.0006499, -83.42563678, 
##     -59.77801484, -80.52973152, -102.2817458, -111.6681166, -79.9685822, 
##     -56.67523258, -38.05063771, -36.6, 41.76527692, 46.314842, 
##     46.05539917, 38.87684137, 25.7285848, 36.58796695, 50.0235387, 
##     73.0743936, 74.70218374, 74.0864914, 68.50823863, 98.39366447, 
##     87.32794356, 92.73169876, 107.1830289, 99.86154824, 67.44362755, 
##     69.23808503, 78.99590815, 86.70203742, 72.16108934, 56.69557935, 
##     54.08391104, 51.17480564, 48.30257039, 40.38964333, 32.69674653, 
##     41.04300887, 42.1, 0, -8.174065319, 13.27135627, 0, -25.2456422, 
##     -3.471748049, -17.36450116, -18.63734993, -39.41378545, -59.22347249, 
##     -65.68283309, -59.71766581, -59.65608028, -37.59084069, -74.76323978, 
##     -108.0029155, -109.7438865, -103.1589734, -81.48269164, -70.65774857, 
##     -113.2676576, -117.8205566, -65.15877583, -117.9585532, -91.34870457, 
##     -100.0101819, -113.1859057, -101.3887359, -107.1968818, -97.64543658, 
##     -107.7487923, -107.501859, -89.22706925, -37.74778602, 0, 
##     4.736908509, 13.08074961, 30.97865779, 56.17250456, 62.94025007, 
##     98.44172432, 109.7168617, 103.3907416, 67.19491917, 70.18739171, 
##     76.57852911, 72.6377602, 74.74417182, 85.68081469, 94.14124122, 
##     94.37130485, 88.96686226, 78.8011766, 58.5778625, 68.45932361, 
##     61.5, -96.88635271, -105.705143, -120.7498453, -126.2985557, 
##     -124.4119996, -133.9318963, -105.5990372, -127.1074499, -114.5641872, 
##     -114.857693, -99.05260722, -63.16552002, -122.2724064, -124.3437868, 
##     -153.5097214, -137.2374721, -127.2529971, -115.0261992, -121.4731603, 
##     -106.3697822, -113.2241524, -124.1745562, -127.8915177, -120.1952477, 
##     -104.4175706, -110.4393871, -110.7966213, -113.0202265, -124.0498972, 
##     -123.264653, -124.3116414, -122.7181227, -114.8274953, -123.264653, 
##     -135.3320162, -136.9540391, -130.2547532, -121.8019344, -119.6462711, 
##     -116.5904541, -113.4169167, -109.3450944, -113.6126112, -120.1462669, 
##     -120.2826889, -120.9656131, -116.1888498, -119.0895395, -117.7232191, 
##     -117.7232191, -123.8736859, -117.3592702, -114.7464331, -119.6196961, 
##     -113.1641793, -114.6484771, -113.711726, -118.3381765, -122.466002, 
##     -124.9045772, -113.9473237, -120.825209, -118.554255, -120.6885367, 
##     -124.1745562, -113.3152926, -105.6742954, -119.9134976, -111.4100526, 
##     -103.8041307, -125.3586871, -123.3646802, -128.885684, -123.7200594, 
##     -117.1777597, -123.5080121, -115.0090934, -116.1109012, -115.8774972, 
##     -105.5, -108.3192521, -114.4168834, -114.9617962, -111.0233247, 
##     -104.5703112, -98.63479125, -110.7148718, -114.7961492, -109.4153942, 
##     -81.68654726, -119.4006808, -126.2728805, -7.756324716, 16.47365464, 
##     37.61680723, 33.3187157, 21.05726186, 39.45394017, 45.8167197, 
##     52.44204152, 54.25077729, 48.1, 44.03048536, 41.88679169, 
##     40.38856216, 37.94304271, 41.2016108, 38.63991127, 40.84665096, 
##     44.64226744, 43.8982078, 42.60882334, 40.11780164, 38.47360094, 
##     36.56188956, 41.52380837, 48.85190255, 53.28931415, 52.96552483, 
##     52.15746523, 46.87949206, 58.09535541, 64.04619589, 68.95745659, 
##     37.97424052, -106.192718, -89.00247738, -84.00383425, -52.5243028, 
##     -4.335889962, -7.185763963, -105.9289523, -144.8276085, -127.8000951, 
##     -68.72536064, -81.976866, -93.48025749, -80.42261421, -60.51988106, 
##     -81.06189412, -80.55025289, -81.56015335, -82.29457834, -82.31865411, 
##     -80.49525182, -121.7, -129.9274976, -147.584462, -111.7484562, 
##     -76.49928327, -80.91600759, -37.32054396, -2.856365784, 10.16277864, 
##     20.74475167, 19.81240567, 48.234856, 47.21942658, 45.59293914, 
##     46.79286716, 46.28782073, 45.25464912, 47.50807515, 46.92715839, 
##     48.20145503, 46.79286716, 46.8, 46.27513626, 47.01521341, 
##     47.05353916, 46.14565833, 45.48681951, 45.89426452, 46.53922481, 
##     46.59517307, 47.64680451, 46.96336343, 46.27513626, 46.92002861, 
##     47.13599749, 47.09712268, 47.09712268, 47.30768625, 47.00185779, 
##     46.70229982, 46.50476438, 46.63858882, 47.683382, 47.72537355, 
##     47.51570886, 47.4, 47.683382, 47.93143511, 47.39149706, 46.93347085, 
##     45.90916202, 46.4827994, 46.70229982, 45.96540415, 46.50068987, 
##     46.8740285, 46.83004662, 47.13599749, 47.52115964, 46.8380616, 
##     48.48240338, 48.234856, 47.39149706, 46.52901195, 46.70229982, 
##     46.11411799, 46.8822531, 45.90066619, 46.50476438, 47.29474307, 
##     47.60240584, 47.47599321, 47.2, 47.00894972, 46.4132891, 
##     46.6737347, 46.11411799, 45.63732209, 46.10751529, 45.98245401, 
##     46.49422992, 46.01972474, 46.45748781, 46.66562817, 47.30435803, 
##     47.13016728, 46.36532623, 46.74790496, 46.84523681, 46.75596193, 
##     45.56585716, 45.74080786, 46.34282867, 45.90916202, 46.06411976, 
##     46.82960254, 47.13233666, 46.62083052, 46.27513626, 46.49422992, 
##     45.9892147, 46.53922481, 46.16281932, 46.8740285, 46.8, 47.7211534, 
##     48.0250334, 47.5550492, 45.61730341, 45.37005118, 45.37005118, 
##     45.29072061, 45.29072061, 46.33221572, 46.6737347, 47.43303129, 
##     47.51570886, 47.2635132, 46.88236959, 45.61003718, 46.23948838, 
##     46.4132891, 47.04764671, 45.15508745, 45.9242059, 46.96336343, 
##     47.30543671, 46.8822531, 46.9254326, 45.55669727, 45.21125796, 
##     46.75596193, 45.87161907, 46.23948838, 45.9892147, 46.23948838, 
##     46.70167254, 47.13599749, 45.85785409, 45.51310095, 45.43313431, 
##     46.71156677, 45.76927727, 47.56109387, 46.62621073, 46.88236959, 
##     47.0034766, 47.09245494, 46.58553946, 46.45748781, 45.93885367, 
##     46.44723596, 47.13599749, 47.38822829, 47.00900616, 46.15811808, 
##     45.40765449, 46.10046219, 47.00900616, 45.9525749, 46.36532623, 
##     46.53922481, 47.51570886, 46.79249946, 46.79249946, 46.79286716, 
##     46.19469526, 46.44723596, 47.43545289, 47.18038172, 47.18038172, 
##     46.83004662, 47.81218873, 48.0250334, 46.4827994, 46.74790496, 
##     46.2510148, 46.44723596, 45.59293914, 47.13197432, 47.90364197, 
##     48.49863475, 48.07020331, 47.39149706, 45.63732209, 45.73371525, 
##     45.46853117, 47.17577376, 48.07122503, 48.28639546, 45.29706272, 
##     45.85785409, 45.58356957, 46.8380616, 46.62621073, 46.23303815, 
##     45.88857758, 47.95045594, 47.17034933, 47.94087774, 48.45748959, 
##     45.37809047, 46.49163184, 46.95800731, 48.03351088, 47.34872132, 
##     47.22035392, 46.32608494, 46.07662294, 45.37809047, 46.78362752, 
##     45.72353064, 45.6, 46.83463876, 48.81792333, 48.93818671, 
##     46.16007038, 45.80492498, 46.4427243, 49.81443416, 48.33907987, 
##     48.28893555, 47.9480914, 47.39039454, 47.17592299, 47.82344423, 
##     47.94964553, 47.65071513, 47.99758695, 47.81862379, 48.36786877, 
##     50.34963514, 48.70112195, 47.68962464, 48.16923832, 54.89552842, 
##     52.85801981, 51.55737725, 50.54698369, 54.4, 52.06538534, 
##     56.20859926, 55.23880718, 62.13972867, 57.64888998, 51.6576591, 
##     51.4908624, 46.83096365, 55.07862306, 54.75484354, 53.59761058, 
##     58.8946655, 59.33371774, 57.24864064, 55.98932785, 55.56974289, 
##     55.28041906, 55.05642607, 55.0444373, 56.02646242, 66.29292498, 
##     65.04546155, 63.18981673, 55.76965284, 52.8601431, 53.76358729, 
##     55.96546032, 55.68176038, 60.1, 57.07424674, 57.13477063, 
##     56.34680297, 54.40045527, 55.13245341, 55.67467455, 55.75936354, 
##     57.14742649, 55.87720406, 52.11046854, 54.35361386, 54.94154468, 
##     54.83463264, 56.73210168, 59.21303192, 57.87035331, 55.95546206, 
##     55.87028338, 56.83148774, 58.0510519, 57.66080735, 57.95761415, 
##     56.96673234, 56.12535079, 55.914778, 55.77128801, 55.9, 54.99094334, 
##     54.54708875, 53.99721173, 54.37899257, 55.38816608, 55.72090238, 
##     54.8862744, 55.09578851, 54.25042486, 54.1037392, 54.73904279, 
##     60.91114407, 50.54981141, 49.44383215, 49.10511721, 58.02398986, 
##     60.51733384, 55.19662051, 50.89881997, 51.84751375, 54.38402258, 
##     57.21003146, 55.33078192, 54.18589438, 55.43339846, 55.66112177, 
##     56.17046443, 56.46264631, 56.61386224, 55.58286431, 57.2871261, 
##     56.99829342, 55.83221828, 54.841797, 55.38816608, 55.09578851, 
##     56.98289068, 55.78584808, 56.27653708, 55.72090238, 56.55684297, 
##     54.841797, 55.68194034, 56.2662779, 56.59048188, 54.98785386, 
##     56.17046443, 54.73904279, 55.87028338, 55.43339846, 56.8463402, 
##     56.75375069, 56.02757542, 55.2237548, 56.55684297, 55.53800841, 
##     55.47366875, 54.40045527, 60.35367238, 56.69929547, 54.7388924, 
##     50.41234737, 52.83591061, 56.53019928, 58.32381643, 57.61084384, 
##     56.82818155, 53.19485251, 57.9, 122.1962677, 118.2012006, 
##     121.6529668, 130.4152883, 128.1722276, 128.0967029, 118.1107488, 
##     123.1395063, 138.1033558, 127.5093148, 133.1053218, 129.7753237, 
##     138.0593449, 147.1740782, 144.729015, 115.6539668, 122.5136611, 
##     137.772429, 134.4395339, 110.4146706, 128.4275391, 103.6889867, 
##     86.47619755, 97.08212661, 103.8965934, 72.76832454, 128.9213784, 
##     124.6971062, 134.7937543, 88.58457014, 110.596773, 25.68139174, 
##     125.1224673, 103.8493123, 126.4387001, 138.6570184, 125.7175675, 
##     124.1182047, 120.4887738, 127.1546126, 86.71573755, 112.3641659, 
##     106.7982804, 108.9691973, 109.264643, 124.9045772, 91.04078243, 
##     107.0137102, 103.1950956, 0, -55.03391826, -107.2626643, 
##     24.45203938, 83.74800622, 74.83780475, 53.98688797, 87.15786951, 
##     70.38780601, 62.2575894, 60.55093449, 51.48059551, 33.45089664, 
##     71.78640904, 21.05726186, 17.70131455, 69.64950836, 72.30747418, 
##     63.69381393, 127.6547602, 110.4040678, 110.4040678, 110.4040678, 
##     110.4040678, 96.08955077, 122.6116565, 118.760931, 124.7177761, 
##     140.0061115, 135.3664838, 118.2957416, 125.3586871, 118.1204263, 
##     82.23031719, 120.2727073, 125.760986, 135.4823251, 140.4642355, 
##     144.6441332, 136.33001, 143.643819, 131.7221409, 140.4001744, 
##     140.5872415, 132.1963862, 115.4663826, 121.5160442, 111.7040417, 
##     116.0475432, 104.8644547, 97.07461134, 94.7, 100.9145739, 
##     90.97531579, 96.52766547, 88.12217609, 83.82798056, 93.02740141, 
##     102.0444353, 81.94699201, 91.87796618, 122.9951346, 84.05558403, 
##     106.3432614, 115.1848066, 124.2454009, 120.7986847, 21.86689459, 
##     72.21226075, 96.10307604, 110.5488863, 117.8071737, 67.98734452, 
##     35.85653675, 91.65257428, 50.50406291, 79.97465726, 82.74409701, 
##     78.33405444, 82.74409701, 71.85323687, 74.74556211, 96.88635271, 
##     112.2072983, 104.0580554, 98.04953028, 83.23598345, 56.48668793, 
##     55.51211676, 28.41962964, 17.01191643, 46.3647609, 14.26167796, 
##     48.90372176, 124.3116414, 111.7484562, 116.3669371, 136.1802055, 
##     121.4629689, 95.53166181, 84.44875752, 75.29077706, 81.48269164, 
##     129.3116608, 125.3052909, 123.2906716, 144.6497855, 136.0971945, 
##     124.5743538, 108.8813668, 146.5919388, 107.3863836, 86.90049856, 
##     112.6043981, 99.37067263, 96.82699359, 87.96706505, 83.91461705, 
##     89.16680106, 117.5199765, 70.38403995, 106.1794472, 44.2374223, 
##     110.0202524, 110.65321, 100.0646844, 111.9125014, 76.3860403, 
##     39.68271252, -84.71596871, 51.378053, 87.36101598, 108.8488592, 
##     -19.64409914, 0, 72.21226075, 83.11646361, 80.47898594, 83.26147106, 
##     60.74576672, 37.016848, 65.73893623, 67.18234609, 84.08261535, 
##     67.36595972, 109.1277035, 108.9909047, 85.85275383, 92.79177682, 
##     95.69378683, 80.61998236, 55.77721332, 38.99993486, 35.81302684, 
##     40.12471419, 80.55765509, 121.0003992, 116.0475432, 122.3280902, 
##     137.3400767, 136.9595241, 123.2906716, 112.4978846, 42.99704408, 
##     70.01143848, 133.3744495, 130.811172, 135.4823251, 148.2788953, 
##     120.9773567, 134.2244596, 145.1184989, 127.4627896, 113.885133, 
##     113.9610227, 105.9222525, 93.83081845, 122.9817373, 98.85697063, 
##     73.54397677, 86.54498658, 80.86623705, 54.77788103, 87.23096675, 
##     48.39081001, 37.94077151, 84.05558403, 62.47538688, 89.16680106, 
##     75.83777142, 9.452654275, 33.76753074, 70.83177847, 86.8030473, 
##     -77.41752759, -120.7498453, -146.2181412, -147.3655702, 89.00247738, 
##     99.07935526, 43.12864637, 28.63961509, 59.70226908, 37.29877218, 
##     28.90711498, 77.72677238, 65.73893623, 40.97821638, 52.50481935, 
##     58.72029763, 72.09696025, 81.1, 93.08661933, 77.85486341, 
##     32.0398588, 69.04464571, 37.95732589, -19.44704438, -16.03030484, 
##     -10.80428526, 82.99013446, 59.53180927, 90.48270894, 127.6547602, 
##     137.3400767, 103.8493123, 47.9760054, -34.46514971, -30.78870916, 
##     110.7703272, 92.08517499, 106.030157, 66.84620656, 53.16768182, 
##     94.6042458, 100.6646343, 109.539356, 109.6691328, 69.51413472, 
##     63.83604604, 110.7148718, 85.63398116, 61.46629519, 25.17884763, 
##     58.80026035, 80.80841319, 100.9655901, -31.7663193, 118.2561369, 
##     130.6832603, 108.1943972, 105.5329786, 97.85581063, 80.52973152, 
##     -21.21464596, -90.60021888, 96.45303579, 92.56335099, 90.48270894, 
##     -56.39426414, -14.04897018, 88.43115401, 37.96814864, -49.95398473, 
##     -37.03710885, 26.74347114, 29.00903244, 36.88235461, 43.91775441, 
##     85.19663272, 10.66513285, 6.527916052, 24.41657354, 6.241881, 
##     42.36101247, 43.46312457, 78.92542428, 53.18080969, 97.83217097, 
##     0, 81.48269164, 122.1320586, 93.09384561, -35.5602583, 42.1, 
##     112.1715677, 101.2197011, 152.0837931, 109.4418414, 128.4744885, 
##     138.5531562, 67.36595972, 120.1952477, 64.939906, 119.4361455, 
##     81.78742388, 81.5681492, -43.81490306, 107.6854958, 67.38767184, 
##     35.5602583, 101.2197011, 77.19285208, 109.9258572, 99.94820534, 
##     112.6543958, 93.02740141, 94.94977421, -15.9226893, 34.87710036, 
##     100.5771269, 91.79496957, 40.9571262, 126.2283312, 101.516778, 
##     108.0636325, 125.4054429, 126.510636, -53.18080969, 67.47409422, 
##     46.16605154, 106.2755965, 114.1208007, 108.0508176, 116.143393, 
##     112.0039705, 65.56956262, 61.54797087, 66.10431689, 95.53166181, 
##     91.5, 103.1589734, 126.4518958, 122.6116565, 127.8915177, 
##     132.7275137, 37.37921748, 70.82327023, 69.48328372, 46.3647609, 
##     32.73349691, 6.849212992, 62.90148024, 94.6042458, 58.09535541, 
##     139.0942827, 123.9467335, 93.83081845, 103.1589734, 91.69273385, 
##     109.9258572, 55.08643611, 72.97276562, 89.63482909, 56.11747645, 
##     109.9258572, 83.72150032, 40.5, 0, 131.8295186, 72.97276562, 
##     101.5675159, 97.83217097, 111.8329022, 99.94820534, 50.24148996, 
##     -54.50675432, 28.97517014, 58.16965592, 61.54797087, -48.50497869, 
##     -21.21464596, 30.62773692, 56.39426414, 74.83780475, 95.45022131, 
##     -119.7004152, -58.48237686, -102.0047732, -111.8718022, -17.99343624, 
##     0, 0, 22.61533865, 33, 52.71429169, 109.1375241, 122.3314048, 
##     -94.15173469, -78.23306595, -94.15173469, -137.8751924, 94.6042458, 
##     100.5520233, 101.2197011, 126.1603006, -43.39640077, 34.58227993, 
##     124.9461631, 116.8994888, 7.439802864, -35.62294762, -45.81903823, 
##     51.15569382, -48.68992318, 44.81390806, 52.50778999, 83.77815197, 
##     53.82271488, 52.53973804, 81.85979092, 32.12885893, -48.36239426, 
##     16.98462881, -78.53981634, 85.60556345, 124.9045772, 138.4422827, 
##     147.6793293, 145.3647409, 140.066107, 129.8773162, 80.05037998, 
##     41.04300887, 0, 20.4022698, 35.6395822, 118.760931, 111.0233247, 
##     113.8502109, 118.6793982, 125.7521856, 130.2547532, 146.0139106, 
##     144.0013693, 106.3697822, 104.8674154, 128.009583, 116.3678532, 
##     63.69381393, 110.1646451, 97.11160622, 43.39640077, 17.43768582, 
##     88.18719386, 73.80436997, 72.65829135, 107.4373573, 85.57863269, 
##     97.99235766, 104.8970383, 84.76962765, 102.3175321, -9.966865249, 
##     -117.6005207, 62.28881675, 101.6220001, 85.50431857, 50.50406291, 
##     103.030894, 0, 119.9905038, 67.47409422, 34.89185573, 20.63883145, 
##     17.20668516, -48.44145147, 78.53981634, 63.98932021, 60.83906358, 
##     47.88279984, 91.8269665, 97.1344987, 114.2905926, 89.6912248, 
##     83.60465341, 98.9801995, 77.24284093, 41.76527692, -12.81255805, 
##     0, -108.3, -21.36205913, 58.23306412, 123.9841439, 76.57852911, 
##     137.1449119, 129.2496668, 119.028995, 95.53166181, 77.05444936, 
##     112.2674957, 126.0951687, 91.90840609, 96.94949254, 120.3622493, 
##     126.7466385, 130.7511125, 111.8599972, 119.0895395, 128.9213784, 
##     133.9318963, 142.1334643, 133.4901446, 94.03775135, 0, 107.5491892, 
##     88.86089076, 16.4033941, 27.4, 123.0959417, 119.4518465, 
##     -4.995839572, -28.9873469, -14.39963108, -31.24954065, 55.34206236, 
##     89.53036317, 61.68655153, 22.95630411, 43.12864637, 70.08027019, 
##     -14.87983452, 21.10933332, 0, -32.10859547, 0, 11.69084965, 
##     -18.49951862, 4.989616804, 46.11981114, 5.258306161, 48.22106668, 
##     30.58788714, 31.7663193, 46.3647609, 26.06023917, 19.73955598, 
##     19.73955598, 29.76707924, 27.09468503, 46.11981114, 41.76527692, 
##     33.92926145, 18.49951862, 35.62294762, 12.41153047, 41.76527692, 
##     29.76707924, 6.229756883, 28.60514417, 41.24104416, 52.41962407, 
##     21.83428794, 28.41962964, 31.91166202, 24.45203938, 31.7663193, 
##     18.22437579, 33.87509296, 38.99993486, 34.30239404, 35.81302684, 
##     24.41657354, 40.48917863, 21.05726186, 7.059317928, 41.16950992, 
##     37.97424052, 33.7408001, 28.60514417, 19.69695924, 27.76282435, 
##     29.76707924, 29.84989316, 14.15412545, 51.80507155, 27.8299659, 
##     6.642115954, 0, 26.00508977, 8.28553568, 32.17505544, 24.41657354, 
##     7.677189127, 6.656816378, 15.22066198, 28.55842493, 41.76527692, 
##     60.81847365, 52.60911321, 53.31030115, 56.38125618, 57.62060958, 
##     59.94827696, 53.90321063, 51.74720384, 55.46916491, 58.72020219, 
##     52.9765165, 52.03680563, 54.45394924, 56.50971324, 57.99367259, 
##     59.87136396, 60.39751175, 59.53758981, 56.3118995, 53.56773837, 
##     51.76295025, 52.77722663, 54.83463264, 55.82441814, 51.03809178, 
##     55.42356642, 60.50096968, 50.08211138, 51.64065931, 54.14830246, 
##     55.90007104, 58.21670733, 61.0688711, 59.50936454, 51.11135937, 
##     49.42011153, 49.87491042, 53.86558791, 55.61723549, 58.19314882, 
##     59.76118496, 58.76140694, 56.05681812, 53.10982087, 54.69426428, 
##     56.75375069, 57.15072205, 53.91393971, 55.62224543, 57.2871261, 
##     56.74111176, 55.68194034, 54.69426428, 55.87028338, 55.87028338, 
##     55.42892675, 55.87028338, 55.18050257, 55.36618719, 54.98986942, 
##     55.914778, 56.3118995, 55.72730449, 55.914778, 55.62224543, 
##     56.01181954, 55.90785765, 54.54708875, 55.57787824, 56.12535079, 
##     56.1616234, 56.78597685, 56.05681812, 55.95186897, 56.02013788, 
##     55.83221828, 56.20624348, 54.54523685, 56.56901392, 55.87028338, 
##     55.95186897, 55.70364507, 54.94635334, 57.88735064, 56.99829342, 
##     54.09984948, 55.72730449, 56.60259027, 56.45189921, 56.1616234, 
##     56.1616234, 54.90039185, 54.09984948, 55.53800841, 55.5321446, 
##     59.19044107, 58.65529387, 55.32864495, 51.12433081, 50.44949406, 
##     51.69048723, 57.60522004, 58.17054147, 54.29462954, 55.87028338, 
##     56.27653708, 56.93668519, 56.10696093, 55.47725444, 55.24272036, 
##     55.38816608, 55.97464399, 56.3118995, 56.17046443, 55.87720406, 
##     56.79770669, 56.96691101, 57.1, 55.24272036, 55.43339846, 
##     55.53800841, 56.60259027, 56.41740682, 55.13841898, 56.58034208, 
##     56.06424696, 55.62224543, 55.72730449, 56.46264631, 56.32126144, 
##     55.87720406, 56.1616234, 56.06424696, 55.03282878, 55.87720406, 
##     55.24272036, 55.58286431, 56.06424696, 56.3118995, 56.17046443, 
##     55.43339846, 55.62224543, 56.17046443, 55.43339846, 55.58286431, 
##     55.914778, 55.6424678, 55.13841898, 55.43339846, 56.17046443, 
##     55.914778, 55.28440717, 59.1986247, 56.78597685, 52.02368065, 
##     56.6242602, 57.02818597, 54.98785386, 55.55470304, 55.68833282, 
##     54.69420304, 53.80692517, 56.23040966, 53.94365649, 54.3, 
##     56.14269236, 58.96005819, 59.42445448, 56.59078929, 56.69993394, 
##     57.01290497, 57.48516392, 55.55905463, 55.05054329, 58.21429722, 
##     56.61457538, 55.31390798, 53.75449901, 57.23843334, 53.59540257, 
##     53.31221398, 58.04961952, 55.95487125, 55.29976266, 54.45423466, 
##     51.44704428, 50.84980699, 57.09114377, 59.85324153, 59.69417507, 
##     56.96691101, 55.04686031, 54.09984948, 53.75008306, 53.50620296, 
##     54.7198638, 56.93668519, 53.55181734, 53.13535945, 52.28350103, 
##     55.57727428, 59.22539632, 57.94029472, 55.09680998, 51.70950754, 
##     51.15523198, 52.69591405, 55.78584808, 55.914778, 54.35037978, 
##     54.0949477, 56.46643087, 55.8092781, 55.73735998, 56.7329575, 
##     56.36457221, 55.99961448, 56.10696093, 55.77128801, 51.80877905, 
##     50.15386501, 55.13713905, 58.9694888, 57.21040945, 53.45640435, 
##     53.5572613, 55.76577367, 55.01462874, 55.94495033, 54.69420304, 
##     55.38283236, 55.32555945, 54.19614263, 55.32864495, 54.88562496, 
##     54.49022014, 53.85706928, 56.01181954, 56.59048188, 55.90785765, 
##     55.03282878, 55.78584808, 58.04961952, 58.31362626, 60.15937323, 
##     55.58422918, 47.81073141, 46.82349192, 63.08018876, 53.32674677, 
##     52.62555928, 55.19185551, 52.37310799, 57.73514648, 57.70843562, 
##     56.39334778, 56.14142414, 55.32555945, 55.23880718, 56.0309685, 
##     56.2662779, 55.32156329, 54.73782319, 55.18050257, 56.1616234, 
##     56.74111176, 55.94495033, 55.55267474, 53.81574372, 54.2528359, 
##     54.7959757, 56.55684297, 56.47442179, 56.09302681, 55.66112177, 
##     56.01181954, 55.19185551, 56.37077461, 55.87028338, 54.30470136, 
##     52.36649151, 53.99721173, 52.82218637, 53.4517301, 52.78248375, 
##     52.95413548, 54.49022014, 53.19485251, 54.64893779, 53.66118664, 
##     54.73904279, 55.62224543, 56.6795974, 55.70364507, 55.13841898, 
##     54.69426428, 53.55333435, 54.59098359, 55.22204952, 52.50948069, 
##     56.27653708, 55.04686031, 53.93619954, 54.88562496, 54.6339758, 
##     55.03397576, 52.89492285, 54.38402258, 55.6113372, 52.02838712, 
##     52.35070405, 53.75646311, 53.7121655, 54.44142859, 54.29462954, 
##     56.21417893, 55.47725444, 53.25612579, 50.16280479, 49.38835551, 
##     50.6715515, 56.31084702, 57.54848471, 54.52501519, 51.0323483, 
##     41.02594395, 58.13591586, 51.23568631, 71.54989943, 73.1738247, 
##     74.11027931, 70.67679513, 68.7452173, 65.59149367, 61.49174024, 
##     57.36636675, 59.94333017, 63.08579039, 62.74856494, 64.25615428, 
##     62.28544104, 59.53823226, 60.3101956, 66.43530611, 60.25490804, 
##     62.64680073, 66.59975248, 65.75347778, 64.8632921, 62.90148024, 
##     62.21640437, 62.87476384, 62.30309444, 65.58658406, 63.86401656, 
##     64.28143382, 66.1067893, 73.18860285, 69.07860782, 59.68374676, 
##     57.15967111, 64.90689889, 48.8768016, 55.29991145, 68.32876373, 
##     65.26492649, 58.77056717, 55.35473255, 56.96691101, 54.19104301, 
##     50.85943711, 51.5974908, 67.0542346, 69.13838365, 49.86125919, 
##     45.70552598, 53.37791311, 59.11763409, 52.70502007, 54.55701264, 
##     48.80508417, 55.56151998, 58.21670733, 59.74884573, 58.38788059, 
##     59.48044009, 60.02068717, 65.47769689, 66.50600476, 61.85858358, 
##     63.3735137, 66.7578715, 64.36595017, 64.85767787, 66.26492609, 
##     62.79184226, 63.04043508, 62.52662702, 65.33851354, 68.4603789, 
##     70.44215661, 63.63807077, 60.29088911, 61.30053478, 64.6988948, 
##     67.39920395, 68.53807192, 70.70367106, 74.22816553, 64.96883434, 
##     64.98704494, 76.51968294, 53.50015637, 69.01643414, 62.45729352, 
##     52.59509888, 70.36222826, 78.77616147, 67.96717413, 53.07852589, 
##     36.09607071, 78.3993034, 71.74444558, 66.34496881, 60.64163565, 
##     62.80549168, 56.33530738, 52.34769334, 56.24156117, 55.48088297, 
##     62.14402729, 60.55063202, 65.74879805, 68.40049071, 66.22323504, 
##     68.70290817, 67.90692154, 68.12569973, 67.74718053, 66.65876209, 
##     64.36866245, 62.59430293, 65.60456041, 66.20772232, 74.09880962, 
##     68.56282738, 65.72335867, 68.71055102, 68.23699447, 68.89409366, 
##     69.31107204, 65.16513732, 69.58217415, 67.03838968, 73.00600559, 
##     71.16815415, 67.45086631, 71.16590071, 66.97507285, 63.42121927, 
##     46.50687124, 45.04187546, 54.5, 62.5714316, 74.28114479, 
##     60.76382328, 55.52936486, 50.4578382, 60.68535811, 72.77958307, 
##     53.526905, 59.45801902, 55.34687288, 49.68205749, 54.28429037, 
##     46.45652033, 47.36158676, 51.35366324, 57.75949249, 64.86335551, 
##     66.81286033, 70.39234092, 70.71272249, 65.96244856, 66.47473671, 
##     63.2432881, 65.13982386, 65.5, 62.39419335, 62.59585723, 
##     62.09796524, 62.44756694, 65.452397, 65.33156032, 67.45139169, 
##     70.34550338, 68.87026718, 67.45580168, 65.67588669, 67.08068922, 
##     68.14310197, 68.99395029, 66.84938239, 73.46187235, 66.29424585, 
##     73.41445701, 72.10187597, 76.92550396, 58.13904466, 65.16180311, 
##     50.52630529, 65.14141214, 68.00570123, 75.42426309, 59.9854919, 
##     50.90703917, 61.23142581, 60.00669391, 57.35521876, 36.17338353, 
##     63.48917413, 58.13578418, 53.76358729, 55.65017687, 62.0622955, 
##     53.08540061, 68.062935, 66.55684069, 65.44891031, 62.30421546, 
##     67.14271962, 67.32386393, 57.82332068, 58.14415859, 59.21337321, 
##     53.96796896, 53.10257043, 56.41662807, 63.15218264, 66.72000539, 
##     64.76803619, 58.22655193, 58.50290695, 58.38834243, 59.36942959, 
##     62.54256649, 61.54183389, 64.26464073, 69.2774712, 64.83905933, 
##     60.72655387, 56.14292369, 61.5052083, 63.79596425, 46.51634789, 
##     55.93592637, 55.91463182, 47.22192348, 61.74754582, 66.04054301, 
##     55.4508695, 50.12217478, 47.59705819, 63.0661377, 61.77146629, 
##     61.91417064, 60.3657914, 57.3021702, 55.40338105, 50.26306593, 
##     52.83963488, 60.91849821, 61.9673165, 60.00971929, 56.19406526, 
##     65.51417616, 65.57593447, 65.74206029, 63.16805523, 61.35553839, 
##     63.35811298, 62.19581438, 61.12943761, 58.29074111, 58.44940651, 
##     55.44818891, 54.27393133, 59.02168548, 60.11540215, 65.04099778, 
##     70.30422737, 68.86562591, 66.27112732, 57.69296477, 61.55450107, 
##     59.74278585, 64.42653533, 66.04925343, 66.4759818, 58.86508881, 
##     62.29680539, 66.98516092, 55.6050974, 52.81790734, 63.62352208, 
##     57.66537077, 52.90482761, 58.9450479, 68.21609205, 69.18381965, 
##     60.0910198, 57.24983326, 62.67959993, 63.25650904, 45.0869151, 
##     39.45256981, 38.14817474, 44.0899155, 47.37104162, 51.80035408, 
##     55.78563767, 61.45061049, 69, 65.4250421, 53.13157085, 56.37077461, 
##     54.29462954, 57.53932594, 53.22321823, 67.10226377, 66.67950817, 
##     61.38301711, 60.61956953, 63.41441597, 62.85679859, 60.90619026, 
##     58.81392155, 59.29153648, 59.86714538, 62.94213259, 65.44523694, 
##     59.79219951, 59.9854919, 60.99656574, 60.67181662, 61.16794507, 
##     64.95431156, 55.73503468, 54.47760516, 51.42962683, 55.400078, 
##     60.7126642, 54.97973503, 62.91661838, 55.13482072, 55.77354096, 
##     57.14575008, 54.15339662, 48.84198795, 40.91566845, 37.98431721, 
##     42.77704788, 52.55436752, 52.38376839, 52.43520194, 55.3, 
##     51.96074285, 55.19662051, 50.72422948, 51.45546137, 51.60739481, 
##     53.85706928, 47.00271078, 51.55843162, 48.79167388, 49.97906118, 
##     52.16307751, 57.01017611, 58.46770165, 60.0344528, 58.9283484, 
##     56.94557649, 58.76140694, 58.98654358, 57.84839472, 52.72871097, 
##     55.13251395, 52.58680065, 52.54801855, 60.16473895, 66.24340532, 
##     66.30644238, 64.2992306, 60.47949246, 58.3251114, 57.18750479, 
##     57.12614643, 59.75858841, 61.59482918, 59.44641247, 58.45766834, 
##     55.2055935, 60.13943245, 58.21951992, 58.09454268, 57.87339184, 
##     52.41506038, 46.53738331, 54.63479625, 51.88182959, 49.64333747, 
##     56.19615077, 59.1, 56.00416655, 57.54628447, 42.9707944, 
##     37.94348395, 40.53395112, 35.79973917, 67.30669238, 65.81880901, 
##     48.07289155, 46.27189847, 49.76221538, 54.94154468, 58.76023767, 
##     59.89063999, 59.37285512, 60.16349996, 61.28507827, 63.05318065, 
##     60.14004127, 65.96244856, 65.33687207, 61.33766146, 62.04800764, 
##     56.88763448, 57.34107046, 55.21500679, 55.9738816, 61.64523563, 
##     58.4, 61.74631031, 66.55306391, 59.58156278, 57.75790652, 
##     58.94483146, 65.73092079, 61.25340503, 63.41241339, 58.37888955, 
##     68.87869158, 52.37093347, 62.69486814, 66.39016199, 64.6205457, 
##     42.88340104, 54.17743472, 71.3, 57.80452097, 48.75364175, 
##     53.93619954, 49.52960035, 50.57309555, 54.19426454, 66.54806194, 
##     60.99900801, 62.71102765, 64.3136341, 66.13499901, 68.53908398, 
##     14.02033127, 13.76947342, 13.7184418, 13.65830447, 14.24816788, 
##     14.47642004, 14.76837151, 14.49913965, 13.72948319, 14.09260826, 
##     13.32382886, 13.07029549, 13.07029549, 12.80649144, 12.86306577, 
##     12.99383015, 13.29468895, 13.96949136, 13.68832148, 13.6988624, 
##     14.04975998, 13.78804869, 13.78945457, 13.54712808, 13.3240654, 
##     13.05080963, 12.86306577, 14.60616794, 13.56743869, 13.79974508, 
##     13.83011944, 13.57733961, 12.78739015, 13.07862675, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 11.85790659, 
##     11.85790659, 11.85790659, 11.85790659, 11.85790659, 61.19165933, 
##     59.3784272, 57.30016659, 54.51164636, 58.00115997, 52.53032416, 
##     58.011523, 59.78793199, 63.98556247, 58.53807787, 64.36638404, 
##     61.04636116, 63.87609249, 60.34520654, 59.65849981, 57.73215296, 
##     59.30022436, 61.34054864, 59.83100164, 56.60804641, 48.49329159, 
##     54.40385165, 54.28444859, 53.4330497, 53.23809652, 40.63130757, 
##     45.64688836, 47.30737673, 54.79062649, 55.43488507, 53.03783109, 
##     56.36614847, 56.28298734, 63.55538534, 61.14662314, 57.59909391, 
##     57.24650135, 60.1, 49.91683025, 53.65651409, 63.89661159, 
##     59.65079786, 59.99826792, 60.09975522, 51.93863882, 56.09504136, 
##     56.44080872, 56.9256463, 55.37086236, 52.6191982, 48.55885918, 
##     53.07040931, 52.70479788, 50.87232825, 56.41177317, 63.34568622, 
##     57.01948888, 36.47963269, 54.56950404, 53.04838334, 54.51383467, 
##     56.15594911, 51.43879694, 52.27166888, 55.08632586, 48.20020058, 
##     47.62908624, 48.50035064, 53.07314623, 53.34247771, 52.6855335, 
##     56.48763299, 49.80729969, 56.85389428, 56.29514202, 51.7365919, 
##     54.64905074, 51.80352803, 59.8, 60.20279054, 57.19708199, 
##     57.1972119, 61.76648054, 55.88692374, 56.91695859, 58.46378285, 
##     54.96378671, 59.67490574, 61.1990131, 54.78302824, 56.39426414, 
##     57.32982195, 57.61578527, 53.38336744, 52.03727318, 49.7609903, 
##     53.70015086, 53.11895569, 47.80068702, 55.91093661, 69.28865342, 
##     54.41488162, 61.83082554, 60.11067807, 62.5510387, 63.26528806, 
##     65.27714694, 63.57325647, 65.34865441, 64.1024257, 63.50780187, 
##     61.97384414, 60.32870002, 59.46119813, 57.69696434, 60.07520337, 
##     59.15504954, 60.77394019, 56.7, 34.96416145, 32.41414441, 
##     37.17905368, 40.40169137, 42.22739764, 42.89426624, 41.1176305, 
##     38.34262598, 41.74893773, 40.00216949, 35.07921651, 32.72654494, 
##     37.20171027, 39.44823357, 44.90907453, 48.22302067, 48.18246817, 
##     50.28001282, 49.39468579, 51.04939277, 66.86306501, 65.23421114, 
##     56.53084787, 57.46059217, 60.23666134, 63.18139815, 57.69590712, 
##     53.84981748, 55.63103988, 56.76605837, 55.30306554, 51.51581322, 
##     51.01633301, 50.29519541, 42.59163165, 38.42931997, 38.53216012, 
##     43.42948531, 41.12953979, -80.86623705, -75.09356215, -69.75544112, 
##     -77.41752759, -72.1920287, -79.32991694, -70.20337421, -80.89242256, 
##     -77.94151146, -74.92842973, -73.62207175, -88.57380706, -84.78658406, 
##     -92.54269601, -70.01143848, -78.05624981, -75.25277764, -74.16704288, 
##     -69.58212207, -82.16079136, -85.00380001, -94.15173469, -87.67400783, 
##     -79.13271561, -74.329234, -76.84137652, -65.8051804, -72.0418501, 
##     -86.54498658, -94.8, -65.38271988, -40.46034562, -48.22106668, 
##     -57.89590247, -32.0398588, -71.03660382, -95.93553574, -90.93670954, 
##     -91.43434841, -90.60021888, -79.9685822, -88.17020743, -77.19285208, 
##     -57.828073, -69.30872098, -75.51044035, -81.08637169, -90.67408017, 
##     -91.22368087, -95.59702877, -93.02740141, -89.88454303, -83.93489455, 
##     -70.65177522, -55.42618345, -57.19522428, -68.24626405, -64.03024292, 
##     -40.00782551, -42.99704408, -26.25945862, -32.50411456, -35.62294762, 
##     -29.33465887, -22.51557964, -14.70894042, -76.57928325, -68.73102547, 
##     -54.96215215, -39.00352278, -35.17582008, -32.39773395, -62.90148024, 
##     -77.33488044, -78.5138153, -75.54493299, -79.22294322, -107.477585, 
##     -85.24662946, -83.81122089, -92.83010072, -104.8970383, -99.66570051, 
##     -108.8937037, -114.1, -125.3831408, -132.9896997, -64.05223127, 
##     -59.71083451, -82.85729469, -104.8992428, -124.9045772, -119.8845433, 
##     -130.26894, -117.5536148, -93.66687474, -68.37134582, -59.63710407, 
##     -70.06138763, -125.3831408, -116.266119, -110.65321, -108.574654, 
##     -114.0103815, -107.3863836, -116.0811224, -106.3432614, -110.6, 
##     -113.4998335, -113.8119228, -113.814161, -118.1584407, -118.3883951, 
##     -110.6457513, -117.649738, -121.4062938, -117.2705922, -111.0726592, 
##     -105.6742954, -103.8324945, -106.3676164, -111.0726592, -114.2800175, 
##     -115.1286303, -121.3790712, -111.5106422, -117.9044013, -121.8354178, 
##     -122.851582, -121.0886566, -123.0959417, -118.3682061, -120.0618169, 
##     -121.0886566, -121.0886566, -122.0858235, -121.0886566, -121.0982388, 
##     -121.0982388, -116.7338653, -114.9487461, -114.7365495, -121.0886566, 
##     -119.0121629, -128.4744885, -137.1904635, -139.1435342, -138.3260375, 
##     -142.1680174, -142.4534389, -138.1144782, -113.6131134, -109.4418414, 
##     -107.4373573, 0, 0, -3.679389595, 0, 0, -24.49786631, -67.83143938, 
##     -70.45658255, -82.2118795, -91.12344554, -96.29955741, -100.8599384, 
##     -100.281639, -102.2429211, -101.698061, -117.1553942, -115.017765, 
##     -116.6208904, -115.5244319, -109.9749732, -88.50668159, -97.07461134, 
##     -77.92420571, -70.43991861, -113.3152926, -101.3887359, -60.7811039, 
##     -78.53981634, -81.98584279, -117.5249498, -121.9121882, -97.16359635, 
##     -80.66811856, -14.57638519, 92.7597177, 52.76551672, 0, -67.83143938, 
##     -70.999321, -73.75232294, -92.13721941, -92.62820654, -66.72813369, 
##     -37.03710885, -21.09122397, 19, -14.44802059, -46.47316634, 
##     -41.32738085, -27.72737829, -31.11427193, -64.14022416, -72.09696025, 
##     -65.00516626, -3.534061871, -54.62941669, -49.05859921, -55.57683229, 
##     -50.19179594, -50.01902836, -47.45704197, -63.86593852, -52.84094355, 
##     -52.87989116, -50.61899196, -54.50675432, -49.79951413, -54.73606012, 
##     -55.91252913, -44.09876055, -51.48059551, -59.83305974, -57.15629801, 
##     -58.2442457, -58.67247826, -60.55046168, -61.69170243, -64.32668642, 
##     -68.44358776, -79.7045486, -87.15379253, -70.36506836, -50.7033185, 
##     -43.5735085, -87.98857922, -83.24762404, -66.03861221, -78.27370036, 
##     -59.69798616, -48.7, -67.96959907, -100.6688739, -106.030157, 
##     -95.070581, -103.9696875, -113.5066935, -99.68871719, -106.4131069, 
##     -91.65257428, -112.7959729, -116.1409193, -134.3997479, -130.0246564, 
##     -116.1741956, -123.3646802, -118.439248, -85.50431857, -75.88155941, 
##     -60.55446636, -73.28151018, 10.80428526, 9.258223702, -139.5827281, 
##     -137, -44.89485735, -67.01497655, -45.38440015, -25.57615018, 
##     -28.50163349, -23.61791837, -7.096747378, -4.569514793, -13.08074961, 
##     -4.715792899, -47.70341912, -40.73257806, -33.01409389, -31.64427998, 
##     -42.93781122, -44.41768044, -31.04434788, -51.90240575, -55.6365729, 
##     -74.9752294, -71.85323687, -73.43932529, -32.45066917, -30.62773692, 
##     -6.084557139, -104.6007137, -69.05298944, -13.77962246, -25.65549817, 
##     -21.60849723, -64.95494623, -49.61885812, -41.25118028, -40.93519194, 
##     -53.07519722, -29.80012196, -16.91698016, -40.47891981, -70.90016049, 
##     -79.47758063, -62.54608276, -26.45350071, -30.23610732, -9.857312232, 
##     0, 5.629401573, 7.376282156, 26.7, 24.49786631, -28.53830835, 
##     -34.92697504, -39.87215609, -44.92289294, -39.78812372, -33.24167345, 
##     -36.57839245, -25.49006981, -16.89684268, -5.247435631, -10.36027759, 
##     -13.38873232, -24.05622163, -31.11427193, -28.49246995, -71.49203413, 
##     -98.60500367, -77.99706484, -58.7746363, -24.8954131, -35.11169911, 
##     -77.67604977, -80.86623705, -88.5353386, -113.885133, -142.8034284, 
##     -137.1449119, -63.6, 96.87234065, -93.02740141, -58.09535541, 
##     -135.2127381, -131.3557789, -61.54797087, -21.70885726, -65.40734103, 
##     -21.21464596, -30.01423523, 4.898980427, 5.54132321, -48.43377489, 
##     -16.45884779, -38.51010006, -15.03671779, -45.22764459, -56.3567601, 
##     -43.39640077, -43.69221244, -65.4546167, -86.0639707, -26.77728538, 
##     -22.5, -28.72675918, -22.97523386, -23.1477364, -70.65177522, 
##     -92.96757082, -45.01372887, -18.65786549, -49.41823719, -69.29262519, 
##     -68.9493449, -63.54941577, -43.51425136, -33.91484757, 12.19642141, 
##     -7.756324716, -19.33751897, -48.71645207, -45.81903823, -56.23271266, 
##     -37.02972824, -31.83613941, -11.92754369, -27.59666922, -29.80012196, 
##     -64.74797983, -66.62361944, -58.24714423, -44.26692319, -7.588260755, 
##     0, -12.97025372, -20.93180761, -54.9751499, -66.31062975, 
##     -78.53981634, -72.1920287, -53.76832531, 62.90148024, -46.3647609, 
##     -81.48269164, -123.7089479, -129.9274976, 50.64446434, -44.47374041, 
##     -39.2589814, -36.17582181, 9.131901831, 13.06833265, 14.74776891, 
##     6.214700623, -15.65485614, -46.67936753, -43.11120481, -30.50963086, 
##     -28.46566951, -30.8438324, -26.93688999, -34.60469309, -23.95360312, 
##     -10.96135696, -49.11912305, 12.91230634, -16.19979546, -18.39488598, 
##     0, 32.70048466, 36.97582906, 21.44461171, 8.3, -5.813202508, 
##     2.944149361, -7.637281258, -20.86511409, -35.29747884, -27.91353291, 
##     -26.21529333, -17.07725535, 31.98008459, 84.03029591, 19.91274947, 
##     0, 17.26357367, 96.26864701, 79.98358652, 21.86689459, 77.02443284, 
##     -42.05343353, 137.1449119, -28.1309449, -3.375477493, 10.80428526, 
##     13.09788086, -49.96415125, -40.92204833, -15.8381402, 19.72418933, 
##     -13.2478812, -22.7695452, 8.012127376, 8.161955514, -34.29341962, 
##     -38.11043742, -30.17040402, -15.93391529, -18.96500867, 2.99521157, 
##     0, 11.3379845, 17.3499745, 8.090409916, 13.86397371, 43.24943943, 
##     24.0835316, 6.284879629, 0, -7.13477858, 0, 2.686399653, 
##     5.064239026, 0, -32.05180108, -31.69037474, -23.63081924, 
##     6.527916052, 25.36823246, 3.33025133, -3.24499789, -58.13092176, 
##     -9.0106135, -30.54819263, 42.95518032, 37.87938928, -75.90702093, 
##     -62.90148024, 0, -144.6441332, -103.0376827, -69.39805949, 
##     -72.66423407, -14.18970546, 105.5990372, 79.73993157, 88.12217609, 
##     58.80026035, 105.5990372, 114.1208007, 78.53981634, 51.91461142, 
##     55.93892414, 33.59754482, 39.08261306, 38.99993486, -5.786377787, 
##     8.20151066, 15.1525554, 5.145715536, 26.97447709, 13.94235852, 
##     -28.29628819, 16.37258385, 3.396831253, -3.027986901, 6.429354207, 
##     9.832133555, -16.09037358, -28.14026602, -25.09236339, 62.21630222, 
##     -60.90366098, -67.5, -65.99564319, -52.2746807, -2.302860031, 
##     -2.496362155, -20.83615857, -15.46196644, 12.04682039, -19.21995414, 
##     -26.80471993, 52.61579003, 58.69010308, 25.95684694, -20.6269692, 
##     -13.31258402, -2.45096079, -8.96423389, -16.60570182, -32.8, 
##     -7.34884383, 0, 18.73934092, 26.28439994, -46.05539917, 53.76832531, 
##     78.53981634, -23.79411248, -98.27937232, -113.0285664, -82.99013446, 
##     61.54797087, -15.68156853, -29.14567945, 114.1208007, 86.71573755, 
##     89.58173021, 106.5669304, 96.52277891, 114.9617962, 72.4, 
##     34.74514012, 39.65557123, 60.13776367, 62.2575894, 64.5462875, 
##     14.30539073, 41.31633365, 62.62294597, -2.447288203, -19.73171137, 
##     -14.86996042, -19.89844003, -42.94508941, -11.13410143, 2.749633459, 
##     35.8744464, 25.50030237, -2.7, -17.22795237, -33.09460697, 
##     -13.7326215, -10.36027759, 2.462078557, 8.953996521, -45.33454464, 
##     0, -27.85705286, -4.8383959, 32.7845567, 29.0962642, 9.62346027, 
##     6.642115954, 15.18649414, 18.77543539, 31.27862492, 28.32705624, 
##     18.53086543, 0, 0, -2.148840581, -13.7326215, 0, -6.56650515, 
##     -10.21215585, -9.329579797, 0, 3.4469101, 6.869383546, 18.49732053, 
##     9.452654275, 9.484487781, 41.31633365, 23.71034331, -11.87486628, 
##     -35.67333885, -38.41441992, -23.01111821, 26.06023917, 43.81490306, 
##     67.47409422, 94.12426501, 85.08019114, 127.9339532, 89.6912248, 
##     122.4749396, 110.7148718, 89.22706925, 107.3863836, 96.65863916, 
##     102.2246924, 81.18221192, 72.88472274, 60.13776367, 30.54819263, 
##     -12.67742325, -14.72665249, -14.04897018, -14.79814607, 13.25515323, 
##     -44.61055489, -63.88651442, -45.47292167, -31.81454578, -48.65233929, 
##     -60.8, -58.40177206, -47.10762969, -40.98587942, -42.03443227, 
##     -57.04363985, -60.20595264, -47.80026611, -28.3639965, -40.17819126, 
##     -43.53647651, -25.05639014, -47.14964657, -66.78361765, -44.85966856, 
##     -67.46317011, -64.48252618, -21.09122397, -46.97672159, -49.16175618, 
##     -81.55688879, -86.8008608, -76.80245843, -65.08203274, -58.62301254, 
##     -67.36977643, -70.08133522, -78.17886442, -67.95150613, -57.97744903, 
##     -64.40011074, -34.21623724, 88.06229769, 108.574654, -143.0306625, 
##     -129.5153528, 126.0951687, 98.93545461, 99.2652208, 110.1646451, 
##     98.27937232, 85.19663272, 114.4168834, 127.8915177, 103.1589734, 
##     135.2127381, 94.80772001, 111.9162886, 98.27937232, 67.65259434, 
##     39.27082455, 38.26530083, -11.65110628, 9.495170634, -14.87069116, 
##     -21.36205913, -5.875582272, 15.57553068, -4.52369903, -4.575489843, 
##     -52.66140618, -29.43620788, 29.9416886, 61.24954851, 20.31681321, 
##     40.39712976, 70.18925018, 38.02308153, -10.02233033, 41.20026359, 
##     68.93020395, 56.6261888, 68.93020395, 80.5560953, -9.857312232, 
##     -28.15568005, 6.167244279, 20.8929806, 30.80675219, 41.83948354, 
##     25.15915828, 22.47111684, -7.130746479, 55.06061944, 54.75460965, 
##     58.42523876, 57.59444124, 53.72911677, 56.97475436, 62.42336228, 
##     63.27762827, 59.00392273, 59.56997298, 59.09315202, 57.77239418, 
##     58.41217339, 58.38768095, 60.29266902, 62.60832125, 59.42299151, 
##     56.66632591, 60.84455961, 58.27067235, 61.37433318, 59.44170947, 
##     57.45862222, 54.8, 51.05817796, 61.20830418, 59.61714398, 
##     53.03624346, 58.05891769, 56.8369984, 57.78995395, 61.46120142, 
##     67.96295475, 68.14808321, 62.24968359, 63.96589484, 68.37386288, 
##     62.02489936, 54.34948019, 62.96118184, 58.59946621, 58.25421296, 
##     48.00751165, 50.02998442, 58.54478724, 61.32990013, 64.94097979, 
##     66.58570318, 60.32870002, 59.99720519, 62.8492695, 60.39578399, 
##     57.83144937, 58.93250679, 63.28717577, 61.23963303, 58.84450594, 
##     61.65546799, 62.19073811, 62.06184925, 60.27480927, 54.96187916, 
##     58.78189591, 56.48392706, 60.00895826, 54.61862924, 58.9556548, 
##     57.20661255, 52.66966941, 53.01976379, 59.57066114, 54.42475489, 
##     50.94359885, 58.03549742, 58.21074545, 52.34719705, 55.3522172, 
##     55.10306593, 58.06757298, 54.93847891, 47.42572905, 47.69433381, 
##     55.58795847, 52.16923353, 57.59097529, 54.62632192, 48.40964317, 
##     44.17354404, 53.59187799, 56.15119226, 49.25834668, 43.2929709, 
##     51, 57.25212553, 54.88158471, 60.95712643, 55.60973468, 41.50745266, 
##     56.68943656, 60.38074589, 58.43214114, 57.82392801, 55.56499617, 
##     48.57029171, -55.36743233, -45.05115288, -36.81028033, -27.60465951, 
##     -20.93352762, -25.94803213, -32.90274625, -23.33976958, -44.32063121, 
##     -63.2563935, -40.00782551, -52.11194434, -52.08024172, -60.52955122, 
##     -57.07881998, -62.90148024, -32.12885893, -38.41441992, 29.84989316, 
##     51.49809631, 72, 97.83217097, 110.9628588, 110.7148718, 95.05468408, 
##     82.90778614, 46.3647609, 91.269482, 97.37090693, 89.22706925, 
##     68.81270474, 78.79622772, 57.01806502, 44.46412465, 36.24795658, 
##     57.58049005, 35.40154607, 42.45966025, 52.66140618, 16.50080914, 
##     17.57238643, 14.45070227, 17.07352115, 20.99271129, 25.75954561, 
##     26.38430679, 33.83853107, -25.51102781, -17.4012708, 0, -3.1, 
##     -103.1589734, -113.4842055, -128.4281838, -148.5536556, -129.9634934, 
##     -134.0801789, -110.2345014, -95.05468408, -84.69570726, -93.02740141, 
##     -140.5647649, -93.02740141, -114.9161562, -20.89065412, -71.03660382, 
##     9.857312232, -35.65832404, -24.46850743, -16.37258385, -40.87518536, 
##     -12.34044667, -38.99508557, -52.49825068, -150.4228163, -129.8243452, 
##     -93.02740141, -41.67824656, -37.62170338, -52.30983274, -36.17582181, 
##     -37.41167568, -64.35011088, -63.23206021, -79.80015569, -67.44701065, 
##     -62.86264896, -67.28495307, -3.512196972, -50.42573508, -49.07796009, 
##     -47.14964657, -55.21636025, -57.69645484, -46.8, -88.68593339, 
##     -74.37555843, -65.06619387, -93.56605903, -129.22939, -123.4807369, 
##     -114.4922775, -115.7303795, -111.2525005, -122.2047318, -136.2762479, 
##     -137.3001682, -130.6210773, -131.7110434, -133.3879734, -135.6251045, 
##     -133.8, -86.61344026, -46.97672159, -67.57387229, -72.99486061, 
##     -76.3860403, -89.64591122, -90.34717832, -91.71132267, -77.02443284, 
##     -91.50513915, -78.28163963, -69.92954866, -74.16805098, -72.30747418, 
##     -75.42091099, -66.87266527, -81.16492889, -78.60916449, 55.77128801, 
##     56.17046443, 54.95064886, 52.95749171, 53.55485664, 60.87237762, 
##     52.7202312, 51.1064405, 53.90658247, 56.41740682, 57.14845121, 
##     53.44831239, 51.90913096, 51.70950754, 54.26205902, 56.31084702, 
##     57.89301318, 57.29624395, 55.85818581, 54.66321937, 55.46916491, 
##     57.49683705, 58.92101449, 57.96357053, 60.31946992, 60.05536498, 
##     59.81726715, 60.15128057, 57.05982486, 54.54525848, 54.88158471, 
##     57.40357425, 56.79908278, 57.43213611, 56.53011835, 57.24011628, 
##     58.07618071, 56.74111176, 56.63572914, 56.74111176, 56.47442179, 
##     57.22535511, 56.99829342, 59.10543041, 52.86486147, 52.07183642, 
##     53.80692517, 53.81574372, 54.15483964, 54.7798471, 56.01872339, 
##     56.6, 67.96738189, 80.7725308, 77.98658109, 76.828724, 75.71553611, 
##     71.20388063, 41.68865183, 16.41566869, 34.9436476, 0, -62.34251242, 
##     -96.65863916, -85.07051071, -118.760931, -110.0612429, -105.1403091, 
##     -98.72351012, -121.6979717, -117.3996368, -109.539356, -95.53166181, 
##     -90.24335319, -90.48518739, -57.13142734, -77.08329967, -46.3647609, 
##     -52.16056137, -95.05468408, 61.54797087, 117.6005207, 42.05343353, 
##     73.71951886, 93.67106922, 104.8304294, 94.53112866, 88.17998421, 
##     121.7602366, 84.78891171, 86.7, -3.84142156, -81.85454667, 
##     -26.21529333, -96.26864701, -74.02239482, -101.7288396, -95.86001697, 
##     -77.95500768, -31.7663193, -57.74699514, -52.16056137, -78.51819939, 
##     -112.5505077, -95.93553574, -98.11956375, -107.4212304, -102.9696801, 
##     -70.36389513, -86.05102901, -86.05102901, -96.92730747, -85.53940073, 
##     56.7667396, -13.65063112, -26.81069273, 9.028959009, -33.55544843, 
##     7.338941909, -10.83595455, -48.50497869, -98.62280198, -102.5482586, 
##     -104.8992428, -126.6300036, -128.009583, -67.77728731, -84.69570726, 
##     -77.24284093, -77.24284093, -69.75544112, -82.66434262, -77.11105048, 
##     -62.68400078, -77.92420571, -95.17822542, -100.2280531, -106.8147058, 
##     -100.528936, -102.9696801, 84.68750663, 75.27569576, 126.9943201, 
##     121.8435059, 113.4737329, 85.02584595, 85.02584595, 92.00911771, 
##     105.4506175, 94.43916493, 82.02411718, 66.31062975, 70.05763163, 
##     56.48668793, 19.57080499, -70.05763163, 66.89640743, 65.20134293, 
##     33.98369095, -22.99421052, -38.05063771, -34.89185573, -76.57852911, 
##     -127.9392447, -130.8, -22.42495806, -22.42495806, -22.42495806, 
##     -22.42495806, -22.42495806, -22.42495806, -22.42495806, -68.21821746, 
##     -63.39711192, -63.39711192, -63.39711192, -63.39711192, -74.61874785, 
##     -63.98932021, -63.98932021, -63.98932021, -28.9873469, -28.9873469, 
##     0, 0, 0, 0, 0, 31.1587068, 31.1587068, 78.36680561, 14.22802395, 
##     13.94818891, 14.17674069, 13.99879574, 14.77999206, 14.00964898, 
##     13.92837827, 42.83527545, 13.66887059, 13.92837827, 13.7380095, 
##     13.7184418, 14.01871265, 13.51540846, 13.97886623, 14.27044028, 
##     13.55617035, 13.78804869, 13.80942556, 14.23909995, 13.80942556, 
##     13.76836322, 13.52614719, 13.5, 13.23470574, 13.16803142, 
##     12.87927118, 13.68832148, 13.79882188, 13.76836322, 13.21587581, 
##     13.1970341, 13.47703507, 13.65830447, 13.14930237, 13.27443247, 
##     13.68832148, 13.92837827, 13.67927194, 13.6988624, 13.41776042, 
##     13.94818891, 13.96798731, 13.91761671, 13.4664128, 13.68832148, 
##     13.63898109, 13.7, 13.23623602, 13.20715898, 13.18817096, 
##     13.70776039, 13.48749384, 13.1970341, 14.02033127, 13.47703507, 
##     13.76947342, 12.99323625, 12.80599007, 13.57709904, 13.82938576, 
##     13.97886623, 14.20786686, 14.00964898, 13.52614719, 13.95892477, 
##     13.47703507, 13.78804869, 13.46815013, 13.72895681, 13.22613671, 
##     13.4, 17.52913463, -9.423099636, -2.328784808, 14.00965952, 
##     20.50746402, 10.63474807, 7.974317382, 1.123264669, 7.860879293, 
##     4.630031442, 4.48204536, 1.101253022, -1.179604035, -2.350556609, 
##     3.312945915, -3.447820536, -11.49837174, -18.38797344, -15.61693577, 
##     1.152959603, 0, 0, 0, -2.652168525, -12.58905741, -15.60500425, 
##     2.479233042, -11.40252251, 3.443275555, 24.72610794, 28.81804435, 
##     26.08948769, -14.36348141, -20.33070331, 3.309718495, 1.244888299, 
##     6.596597905, 4.49362629, 3.373769472, 5.332241576, 11.2654466, 
##     2.2, 4.762018061, 39.18848018, 35.50509757, -4.140985374, 
##     -12.84407845, 3.395308059, 15.73496441, 8.608804549, -2.163120969, 
##     2.175369963, 2.265764756, -2.179240654, -3.362518941, 0, 
##     -1.078474047, -1.084801194, 2.195197058, 3.292531262, 4.463311634, 
##     -10.80617759, -2.302860031, 8.863144973, 6.411489607, 0, 
##     -1.182900559, -24.59414084, -2.146858865, -13.36237601, 0, 
##     2.324534, 12.65203083, -19.06749791, -20.8456507, -20.75093762, 
##     5.33649175, -17.86403442, -22.99421052, 6.251020685, 2.215712321, 
##     -6.768720732, -1.515731569, 7.506579078, 4.40890574, -7.441450607, 
##     -19.60440708, -27.8634405, -12.6313785, -22.96114672, -23.65396491, 
##     -20.608191, -25.13593514, -29.32950401, -26.09051671, -9.271893399, 
##     -12.16338931, -21.29653131, -21.95500611, -1.06204838, -20.33787863, 
##     -26.68701399, -6.176714034, -14.85609679, -16.44468494, -18.29862476, 
##     -9.436200763, -9.361093315, -16.76257396, -14.3, -77.29331041, 
##     -71.2, 133.2178616, 51.38562759, 143.9789421, 65.08203274, 
##     77.77317642, 125.9812909, 7.112686245, 109.1270856, -33.98369095, 
##     131.6108273, 71.71155967, 118.1937338, 132.3987393, 36.61865602, 
##     -10.80428526, 45.764434, 98.18937001, 103.437771, 113.0285664, 
##     0, 69.75544112, 100.9145739, 81.18221192, 7.792874591, -55.93892414, 
##     70.70184753, 35.5602583, 16.92370867, 19.64409914, 34.35808059, 
##     72.29257146, -8.134232737, -9.62485314, 3.548619107, 1.149678471, 
##     3.457653506, 1.154033956, -6.717451343, -11.20306115, -7.45241762, 
##     -17.09568559, -10.2332584, -2.250223295, 0, 5.659331741, 
##     1.149678471, -3.549612562, 6.050209937, 1.388665679, -5.955795899, 
##     -5.187859732, -33.45089664, -12.79779429, 15.91024377, 31.89614449, 
##     39.59470686, 19.46523119, 22.98542209, -31.72308936, -30.33027697, 
##     -41.85988664, -47.67669873, -27.81347801, 28.49417786, -29.43599697, 
##     -21.71201608, 11.19595932, 23.03346914, 15.21526749, 6.192154642, 
##     3.65337877, -6.163143385, -2.424880858, -10.46020921, 2.402211078, 
##     1.141559454, -7.218974029, 2.252648438, -4.681432878, -12.01027245, 
##     2.180535484, 10.83595455, 6.805893756, -4.476989256, -27.43033667, 
##     -21.74504508, -24.22743681, -24.02000403, -10.41068456, -22, 
##     -14.76765256, -22.90429367, -18.89070302, -20.96716321, -14.30695006, 
##     -14.12172712, -9.776864682, -9.485804701, -7.68088558, -12.94306452, 
##     -13.18694648, -14.00812873, -15.31325528, -17.05686381, -10.61394627, 
##     -11.60433249, -16.2177764, -10.77852261, -13.28110666, -16.38821178, 
##     -23.01526456, -17.10064976, -14.34086128, -13.62069989, -87.98412124, 
##     -83.86540786, -91.49847397, -111.2278349, -90.70114622, -98.99334105, 
##     -86.71573755, -87.13047823, -94.22276559, -90.84196279, -85.44881556, 
##     -93.25291339, -106.4242153, -102.2909585, -121.7888443, -111.7911595, 
##     -98.19082207, -71.62801127, -63.25150811, -76.85446288, -46.0132617, 
##     -81.00793915, -119.6858472, -102.431356, -54.89525108, -75.46213044, 
##     -99.2003526, -80.02331019, -15.68499253, -32.39724569, -3.895775674, 
##     -35.75089759, -54.47099336, -21.0930195, 13.38873232, 31.67242872, 
##     32.76488235, 3.527947359, -12.31258458, -19.14628186, -34.11294156, 
##     -12.5638093, -13.15284053, -8.493342596, -10.46303634, -13.72453544, 
##     -8.768138825, -3.625526767, -46.55968725, -55.19331264, -63.1, 
##     -61.70974087, -57.19097102, -57.56913572, -59.61912138, -66.64863578, 
##     -69.4548617, -93.96283937, -88.19751287, -90.67408017, -92.40933616, 
##     -101.4995438, -99.76295242, -99.92702921, -90.51782258, -109.525127, 
##     -111.2869966, -113.1784194, -107.2304733, -94.81178993, -73.91932496, 
##     -87.09851161, -73.92554845, -84.36118803, -102.3451451, -69.5, 
##     -83.26147106, -54.32257123, -60.14458487, -12.96673971, -35.47729143, 
##     -67.91845783, -59.28460611, -31.81964371, -48.38587474, -75.22246596, 
##     12.88574664, 10.05147006, -19.73836901, -24.79959695, -19.96563375, 
##     -18.30562631, -8.174622676, -17.20668516, -32.2139921, -27.07956855, 
##     -48.67286443, -40.67061759, -41.50609357, -60.90291061, -75.20913409, 
##     -70.69169713, -97.81897001, -97.47938876, -74.29801868, -71.87604918, 
##     -79.95571798, -92.63822186, -73.40795509, -88.67156895, -77.49393652, 
##     -90.20269231, -89.85056092, -105.7466661, -98.97111373, -94.60459657, 
##     -104.313682, -96.49338873, -99.57999158, -99.92964546, -76.53182965, 
##     -101.9098773, -111.6158172, -111.381781, -108.9559724, -98.02719098, 
##     -81.1291979, -87.47792897, -84.63512572, -87.06634799, -99.6668576, 
##     -58.09899206, -63.28149459, -23.7655314, -43.48901473, -68.60652534, 
##     -75.860642, -76.78304309, -1.979939257, -16.00186761, -22.6331509, 
##     -25.89281844, -33.62686735, -19.9794191, -24.7321034, -18.36886956, 
##     -27.00524309, -25.53846317, -32.92455346, -2.511867863, -12.49230722, 
##     -49.01182244, -58.53812473, -74.70127306, -66.24458237, -75.53623644, 
##     -78.44703814, -71.19666759, -75.92810808, -78.71947228, -84.59057354, 
##     -84.83461323, -93.41472616, -94.68861428, -96.09066736, -99.82816213, 
##     -101.2044864, -90.23798868, -89.8, -27.77584157, -27.30292205, 
##     -52.79375472, 1.266973688, -10.98000756, -15.89746039, -9.960682887, 
##     -20.96240648, -8.78768971, -25.06119817, -30.60873423, -37.09542296, 
##     -66.13932146, -74.02295925, -81.17078807, -83.62090512, -83.83887022, 
##     -102.2248936, -100.4323736, -89.3142463, -99.06583651, -93.19242645, 
##     -82.19216524, -99.17786937, -102.3577878, -102.4747296, -87.66961151, 
##     -91.41280102, -55.5840044, -104.4369133, -114.1111089, -112.1, 
##     -106.4170939, -94.48287198, -92.3127102, -93.87921062, -71.14081149, 
##     -92.66700236, -70.27330256, -11.80113533, -86.50945541, -72.62117019, 
##     -37.82939913, -10.18922375, -78.50794891, -94.06716014, -59.17218167, 
##     -11.69459647, 64.05282428, 75.30518299, -29.06278628, -44.74162841, 
##     -41.67470328, -3.974992381, -9.306372872, -22.74838126, -13.13228336, 
##     -1.259315346, -3.869438275, -10.87895203, 12.33117657, 9.253368932, 
##     15.74488487, -2.679158886, -34.56973109, -42.89766944, -43.65992999, 
##     -56.5967603, -61.25870058, -71.66635189, -97.64402305, -88.07664431, 
##     -79.98176189, -83.60181326, -104.6807835, -90.91110476, -91.27822165, 
##     -91.31696139, -98.02260241, -105.9848373, -84.94705578, -89.64887533, 
##     -93.00248238, -99.68103767, -100.5569966, -105.1125165, -92.42741629, 
##     -87.51546444, -101.5087886, -107.5, -91.92600157, -109.8201261, 
##     -65.58447379, -68.67196086, -13.11241331, -64.30141725, -52.86183913, 
##     -37.06151424, 15.60343043, -44.66555692, -30.96273975, -16.00409692, 
##     -15.9, -102.2155008, -109.1538401, -109.5925943, -100.7401414, 
##     -86.93160782, -89.48106426, -94.73742774, -52.11529871, -103.9349918, 
##     -108.809069, -113.0285664, -87.70448051, -69.90091007, -49.91610608, 
##     -50.11417688, -59.70294048, -75.85959353, -11.02496344, 2.280297664, 
##     8.612794908, 0, -21.90284929, -29.80755486, -19.9, -16.83818965, 
##     0, 1.255735855, 2.933678514, -2.694188217, 1.267075389, -2.460959967, 
##     -8.625136947, -12.99748896, 0, -24.30420223, -36.81028033, 
##     -21.64420021, -62.33969926, -82.63184887, -88.65015351, -95.68177806, 
##     -80.1759292, -96.74148468, -101.6539766, -94.32071764, -90.48981043, 
##     -82.64233523, -96.41286557, -81.21156924, -86.68889107, -87.07202008, 
##     -75.26298143, -72.31576289, -100.4013812, -100.1771991, -119.2474079, 
##     -110.1515688, -103.4249018, -94.45666137, -90.89128196, -92.61566803, 
##     -82.25798201, -83.63236477, -72.48744025, -84.6788282, -119.3737809, 
##     -102.1815213, -65.73732813, -64.66919965, -75.42091099, -41.64649585, 
##     -59.08727501, -75.76871864, -57.74436582, -34.0390324, 2.24965381, 
##     -25.85899927, -42.25910485, -51.80507155, -42.69767067, -19.88895971, 
##     -36.69262657, -16.46709884, -2.47183733, -2.60010838, -2.560597716, 
##     37.37921748, 26.68627958, 36.86196684, 30.53384152, 30.01796966, 
##     21.63589485, 22.5208559, 32.05670406, 28.65256356, 26.40483963, 
##     27.17775619, 34.28781419, 36.87721607, 37.45708991, 30.22943587, 
##     34.87215735, 30.4, 33.45863956, 26.46256776, 29.07655034, 
##     29.38071898, 29.93256407, 35.29672065, 39.17449701, 29.0200565, 
##     29.96897837, 28.73020025, 29.16538936, 30.58492932, 30.29293473, 
##     30.85547993, 33.87236142, 30.90747309, 33.78648801, 35.93888461, 
##     40.14990616, 37.12364608, 35.18044712, 35.59890065, 36.02502111, 
##     38.35707463, 35.82242603, 38.86592267, 39.58856097, 37, 36.81451479, 
##     34.86286485, 38.76692846, 39.2287643, 36.9950136, 33.86761086, 
##     35.65827619, 44.83502399, 42.60184384, 47.8134621, 47.91216994, 
##     48.67595615, 41.49196254, 28.11356622, 32.97835922, 27.77965916, 
##     36.54164896, 18.36040103, -18.59209663, -26.5436322, -10.83242198, 
##     -85.08019114, -109.8307208, -133.1053218, -150.8763021, -140.2692288, 
##     -130.8182156, -98.90501313, -85.52453675, -124.9045772, -118.1204263, 
##     -95.05468408, -90.53903081, -101.5442213, -100.5781362, -101.2975639, 
##     -75.94862209, -100.8025552, -142.3016994, -120.4029985, -95.84528678, 
##     -101.3631675, -90.55507231, -32.70048466, -2.325162281, 16.43437897, 
##     15.85306043, 30.03514543, 43.09877133, 42.525051, 35.65517334, 
##     34.1, 34.08624645, 30.84261202, 32.9149684, 32.68408371, 
##     30.19939881, 32.5595686, 29.11040354, 28.55980387, 30.4509263, 
##     33.27131085, 35.79981846, 37.27263595, 38.4716717, 43.52651935, 
##     41.25587313, 39.86795425, 29.49074048, 33.06107179, 32.93656318, 
##     33.18801284, 37.76465724, 39.20191802, 40.79567022, 37.94173742, 
##     42.24272245, 45.34700586, 45.3, -96.65744287, -108.6479671, 
##     -125.2978801, -110.4146706, -105.6247675, -97.70713116, 7.373775054, 
##     14.85650161, 21.09888812, 29.45487436, 30.46496598, 24.56966778, 
##     31.46612888, 34.95071407, 35.17770013, 38.46404521, 43.7308898, 
##     35.55928141, 20.70127125, 26.87014002, 32.70710615, 28.77715459, 
##     31.23145511, 34.75917932, 31.9922727, 31.32632577, 35.05972468, 
##     34.91375497, 36.32436419, 35.14713682, 35.6678652, 31.54689465, 
##     31.4, 32.88816586, 32.20522936, 32.51857214, 29.38504264, 
##     32.88462949, 33.39539043, 39.38506808, 39.16645023, 41.01237049, 
##     39.97556399, 46.3647609, 44.30618958, 42.80919629, 42.95394491, 
##     47.33537567, 50.32978253, 49.36907009, 45.32185973, 31.2713267, 
##     39.91246979, 30.09835656, 24.84873604, 22.81431788, 22.81431788, 
##     22.91388273, 38.44748307, 46.13686807, 23.06395946, -22.57478688, 
##     -22.57478688, -22.57478688, -22.57478688, -28.97517014, -19.17595319, 
##     -134.7937543, -146.5145558, -134.3044089, -119.0264309, -115.2821283, 
##     -118.1204263, -123.2918139, -120.2502839, -117.3795204, -121.4196535, 
##     -106.1252269, -95.43974017, -105.1375618, -96.64908199, -103.3907416, 
##     -120.4763309, -69.72572587, -48.23968318, -24.88539888, 30.85538065, 
##     34.50482344, 32.82860228, 34.34227202, 34.08707579, 37.21314153, 
##     37.95440467, 41.00663634, 42.51067859, 42.55679174, 43.81490306, 
##     50.48551484, 44.40224215, 42.93650703, 34.12956134, 39.58800277, 
##     37.53223451, 31.2065332, 50.1200529, 35.21749807, 34.77194896, 
##     16.22322981, 0, -59.9888909, -48.49241019, -52.9636289, -96.45303579, 
##     -150.1919424, -131.3454786, -138.1963331, -123.9467335, -125.7867011, 
##     -135.6251045, -135.0479987, -112.4078115, -104.7332899, -112.8513041, 
##     -110.4897052, -95.48300488, -88.91670424, -102.7822696, -100.6387376, 
##     -90.9762506, -43.95877038, -9.156752555, 19.78478308, 18.5692857, 
##     23.99802048, 29.40565884, 42.00495203, 40.77730893, 24.68320544, 
##     29.4149206, 31.28625721, 27.29762534, 28.30140521, 27.62617788, 
##     28.37300126, 31.030471, 33.71285448, 33.8145931, 31.26288335, 
##     26.52609903, 26.76070649, 27.90561753, 30.3617827, 32.84507003, 
##     33.32760117, 40.87671506, 36.92942545, 40.09726991, 42.82607021, 
##     44.22621502, 51.13955135, 40.45980746, 31.96247223, 39.34842915, 
##     41.58720969, 30.42207966, -21.84558392, -8.011770224, -46.79286716, 
##     -61.13243811, -102.0171614, -123.7937243, -137.6425472, -114.5585074, 
##     -138.796119, -138.1144782, -136.5717417, -120.2878972, -125.5873203, 
##     -137.1261998, -140.3861219, -126.2728805, -142.0417342, -95.06271409, 
##     -81.64106754, -67.57387229, -15.55654062, 1.182073838, 13.00066583, 
##     25.46586881, 28.56608797, 31.93874217, 28.74609685, 28.59912814, 
##     29.54136681, 30.37772826, 22.55171768, 24.54557252, 22.45947744, 
##     31.31165061, 27.82102059, 29.66904776, 33.93813001, 33.01296856, 
##     39.33193591, 39.72319506, 37.86261375, 37.37782264, 37.95062044, 
##     36.47403224, 33.3910488, 33.80268864, 38.45985538, 27.96534548, 
##     32.94386551, 42.14143848, 50.56499259, 44.4024743, 37.90578911, 
##     30.03407536, 23.02213703, 8.36048513, 0, 1.816780991, 2.082580235, 
##     -22.01200956, -31.44397272, -56.01419121, -64.50180364, -126.7277249, 
##     -84.00140451, -70.41877556, -84.69688735, -107.8064623, -105.9288866, 
##     -98.93545461, -121.7602366, -115.0006499, -120.4609767, -109.4153942, 
##     -99.06348699, -96.4140878, -106.2491292, -94.94977421, -89.93186733, 
##     -78.51205398, -3.273560774, 15.93861893, 24.82610365, 33.82231784, 
##     30.12911792, 34.36942612, 46.57012351, 53.83781071, 55.04788749, 
##     47.05885732, 39.91909379, 28.64090584, 15.74488487, 27.29722881, 
##     23.9436974, 12.47996762, 12.47996762, 12.47996762, 2.588323702, 
##     2.588323702, 2.588323702, 2.588323702, 0, 0, 1.493757933, 
##     -32.72106737, -59.28493628, -103.898823, -127.4048996, -130.5562672, 
##     -145.2306368, -153.7137292, -140.1498615, -117.8749918, -127.5093148, 
##     -123.7108585, -133.2178616, -112.3258569, -116.4650207, -102.8382934, 
##     -56.74504753, -9.301376312, 8.037737726, 5.613979351, 17.61841509, 
##     19.32510138, 19.88010872, 26.09074736, 29.97666713, 27.02655512, 
##     26.71019042, 24.21880818, 25.06549334, 27.48891892, 26.57404695, 
##     26.69589133, 29.27932774, 33.61651519, 32.01490812, 31.08315965, 
##     28.07574859, 30.74682533, 32.25858677, 33.21487824, 30.83148273, 
##     30.23434359, 31.63168221, 38.12744938, 37.68549163, 38.39210025, 
##     41.61196638, 37.52512527, 32.49970018, 33.18982853, 31.12581755, 
##     46.20712939, 37.87762375, 30.0717953, 22.20971169, 1.504028675, 
##     -13.02992708, 22.11807148, 18.534795, 26.06023917, 0, 5.835429696, 
##     -5.474490654, 34.74514012, -69.1722727, -72.66423407, 9.218798483, 
##     0, -11.69084965, 17.36450116, 107.0137102, 70.11855549, 117.3795204, 
##     143.0952721, 145.772772, 137.2832713, 122.599688, 122.599688, 
##     127.0038387, 133.0130899, 133.0130899, 135.1800859, 128.0091646, 
##     128.997068, 128.997068, 128.4685405, 126.2899691, 121.3340976, 
##     121.3340976, 109.2443895, 106.9294223, 111.1423358, 110.9539173, 
##     104.9504362, 100.0820734, 94.12383837, 89.87019723, 79.20292051, 
##     84.95303659, 102.5356761, 116.1, 122.777117, 124.0861495, 
##     136.9124148, 146.3648978, 131.0376931, 132.9180393, 126.2844786, 
##     134.552973, 119.1143498, 117.6150155, 59.08727501, -33.98369095, 
##     99.94820534, 36.88093077, -80.82819686, -115.7522518, -44.67245367, 
##     37.87938928, -124.4833332, -133.2727985, -116.3077017, -53.36858495, 
##     -33.09252515, -141.3980641, 37.62170338, -142.8034284, -151.8, 
##     -142.8899272, 107.3389091, 124.7755999, 137.6168867, 132.0086226, 
##     141.0033586, 144.5483636, 123.7089479, 123.1990136, 129.22939, 
##     131.0801589, 132.2288978, 131.8295186, 112.8040717, 108.2004819, 
##     104.9171897, 102.392059, 96.8335162, 86.01937994, 82.50598933, 
##     84.04497577, 88.12935904, 97.6514427, 115.5755695, 118.886663, 
##     126.4009173, 121.7116964, 121.6302354, 122.3015901, 134.5453086, 
##     138.875728, 141.7894355, 143.5488734, 129.1879204, 120.6617522, 
##     146.830482, 125.619686, 140.7771587, 146.2436781, 85.53940073, 
##     53.17240673, -103.1589734, -11.65110628, 97.90686369, 86.99770007, 
##     78.06793424, 76.36624566, 67.80628324, 64.54284144, 62.48786211, 
##     70.54923939, 72.75408553, 75.73625501, 82.81845531, 94.35169656, 
##     107.1829886, 126.4784556, 126.860374, 126.7027231, 127.4237198, 
##     137.7359033, 122.734151, 120.5609956, 133.039211, 124.288568, 
##     139.4, 147.3571861, 153.3776211, 118.0189283, 127.4833405, 
##     93.02740141, 0, -122.7772386, -129.5153528, -119.4361455, 
##     -94.81918313, -115.0261992, 14.79814607, -101.1979373, -59.34600576, 
##     -61.22323484, -51.80507155, -34.87710036, -115.2571997, 26.06023917, 
##     82.09472313, 111.5535193, 96.18372176, 118.4156306, 121.4, 
##     141.5298753, 143.0851129, 146.029123, 143.8568972, 117.9193721, 
##     98.10540842, 125.3404938, 115.6138524, 117.8430116, 112.1336673, 
##     98.48733966, 135.6735643, 75.61986897, -68.21821746, -104.5199791, 
##     -124.9045772, -133.4901446, -140.066107, -115.7105825, -107.2583816, 
##     -107.8434437, -98.11956375, -131.8295186, -131.1710168, -120.3588306, 
##     -132.3987393, -141.9883462, -140.0011321, -140.3081841, -136.7, 
##     -139.6747126, -115.3450349, -126.6976833, -127.535549, -145.5008461, 
##     -146.7714718, -106.3697822, 12.22464035, 113.814161, 135.3441706, 
##     129.2199449, 132.1727838, 120.8844161, 121.4838589, 123.7210152, 
##     121.8867322, 119.4040083, 115.5136123, 108.5356945, 106.192909, 
##     99.5896536, 95.64663991, 92.56635091, 91.17976083, 77.49042507, 
##     70.53313978, 66.9585735, 75.64182998, 91.11562305, 102.0865537, 
##     109.525893, 120.9797123, 119.3156952, 127.405306, 132.4894315, 
##     131.8817392, 125.5767909, 123.4127522, 123.1424734, 112.2186784, 
##     125.4826055, 151, 120.5102158, 124.0093181, 125.5955239, 
##     118.3479726, 130.3613819, 123.7119272, 126.4247389, 138.0917072, 
##     144.4541919, 141.9780984, 148.3180169, 149.7755761, 113.2260373, 
##     107.8191361, 35.42041058, 38.05063771, -8.314123189, 17.49690457, 
##     -109.4914077, -32.17505544, -98.90501313, -133.2595659, -118.2480576, 
##     -105.4178298, -106.522752, -110.5433639, 96.609767, 86.99887787, 
##     91.72455544, 98.31533711, 108.1309011, 110.783973, 130.7831865, 
##     134.2060669, 133.1950357, 115.8734471, 121.8966995, 129.7524444, 
##     144.7626106, 146.5641716, 145.9259473, 139.1039511, 134.3986302, 
##     137.1449119, 61.54797087, -12.06785531, -78.53981634, -82.99013446, 
##     -66.5611513, -88.12217609, -115.0261992, -86.65094658, -92.7, 
##     -98.25054072, -88.78842027, -116.5923012, -109.998302, -93.88600794, 
##     -109.8379067, -113.3924878, -129.0259535, -118.0818003, -100.1857144, 
##     -104.61205, -110.2205552, -110.4146706, 129.8243452, 123.0959417, 
##     118.4913657, 135.4710622, 125.4054429, 130.6946957, 123.1240113, 
##     126.730195, 135.3572774, 133.9410125, 75.29077706, 17.41181939, 
##     -96.45515947, -103.7820598, -104.7081205, -98.96456782, -85.9137216, 
##     -106.0945779, -99.61901029, -100.8526743, -102.4878158, -111.0739059, 
##     -108.1861063, -98.19935628, -101.1730844, -111.3938584, -97.91242907, 
##     -64.71321902, -18.09133001, 102.3724374, 113.3735021, 113.4257727, 
##     133.2817344, 139.9226136, 138.3400881, 119.7285436, 118.6069014, 
##     111.9828751, 110.3048051, 107.2090244, 104.1017481, 105.3706361, 
##     103.4077378, 96.41570284, 84.85434156, 84.71801505, 86.49552552, 
##     81.209223, 96.63946342, 108.5231413, 124.5037194, 125.1719318, 
##     123.9310441, 138.768551, 141.9780984, -30.06848912, -59.08727501, 
##     -80.25935298, -81.82617835, -73.88921529, -91.81176395, -110.6595238, 
##     -99.43715949, -100.8710638, -99.32097192, -104.1549546, -105.3764374, 
##     -114.0643032, 93.61017387, 94.29064077, 91.87253653, 98.0326741, 
##     101.3342985, 101.8339486, 100.4353425, 102.7520471, 105.4686956, 
##     113.8680013, 116.2834559, 109.8736073, 113.9696412, 107.4797431, 
##     113.1600993, 97.31431095, 97.03035954, 97.61714382, 97.08267617, 
##     98.51073418, 102.3017167, 113.2421215, 108.6473407, 129.2541513, 
##     107.8802429, 80.35590594, 63.01420332, 62.2, 39.91831994, 
##     41.31268106, 37.84709919, 28.96015827, 37.37014135, 36.38029718, 
##     36.05660005, 35.77601888, 31.58346421, 38.85332163, 37.67179274, 
##     36.82437788, 36.17582181, 36.58371068, 27.61940983, 33.09460697, 
##     25.17363124, 28.59269783, 38.11988679, 40.41639647, 29.13164728, 
##     36.6463382, 36.32719259, 33.34859538, 37.89173254, 35.62294762, 
##     36.40037021, 34.51420192, 37.34923589, 34.73716523, 37, 34.92825669, 
##     40.08649703, 38.52379836, 32.66466994, 39.40989701, 33.6066585, 
##     38.11413228, 37.18525216, 37.54299335, 35.18123778, 30.35164692, 
##     29.0450982, 27.03024686, 31.59134881, 27.06870608, 26.85150597, 
##     30.54324169, 31.3, 31.09834179, 34.92533088, 25.46475405, 
##     21.09888812, 24.76309777, 24.64252029, 24.86438935, 21.53259311, 
##     33.57770323, 18.67070962, 27.50604696, 23.80158093, 23.10831881, 
##     17.64498425, 13.92582495, 13.35525701, 28.56591636, 23.38501116, 
##     29.97319826, 24.87638095, 32.52333772, 28.67360764, 25.5593798, 
##     22.97372562, 23.1861199, 13.61294737, 14.81437613, -10.65839969, 
##     -34.24741205, -20.9, 68.58112973, 65.53396555, 62.79050739, 
##     60.45623832, 62.09005932, 57.39649475, 58.98124255, 69.35500365, 
##     72.4910464, 68.1616354, 68.1437847, 68, 65.89334103, 63.5870601, 
##     64.83835543, 64.68295833, 64.93209568, 65.02798739, 62.04415672, 
##     61.96649709, 63.49115373, 63.84172878, 63.5257418, 61.62293355, 
##     66.1751657, 65.74634944, 69.41613227, 69.44802401, 70.70461638, 
##     69.33696805, 67.14418469, 65.61934841, 59.85273397, 57.51314351, 
##     60.97336556, 65.92605982, 65.37461774, 65.27135696, 67, 56.88604586, 
##     59.69345916, 59.97497882, 57.50127176, 56.72886996, 56.36793163, 
##     57.28170526, 58.52200878, 57.18019188, 58.90778967, 58.20721694, 
##     56.19149979, 59.52974804, 58.1235044, 55.95929358, 56.30196737, 
##     57.1, 57.2358249, 57.55835714, 56.37208432, 56.33725667, 
##     56.48150363, 57.93776392, 56.59078929, 55.29060762, 58.52288378, 
##     56.40645916, 56.22119485, 57.05161587, 59.87607069, 57.24422752, 
##     54.1517122, 48.05688702, 52.54608241, 64.48075187, 73.14818961, 
##     61.66033439, 74.42462169, 74.94515143, 85.37466765, 83.84232064, 
##     84.00465552, 85.20715375, 82.94038926, 82.98932812, 77.18853425, 
##     73.43648778, 98.12906203, 85.55338691, 86.55818466, 88.35157235, 
##     89.08196835, 86.54766975, 89.59414388, 90.25479735, 93.39790111, 
##     95.83462937, 95.38503251, 95.2026242, 88.33646923, 84.40903443, 
##     86.68864521, 79.21043999, 85.8241206, 90.09503748, 90.17780694, 
##     93.99280211, 85.07893701, 82.86751858, 85.47875839, 95.35202543, 
##     91.7031077, 95.33916452, 92.01173392, 89.92384253, 88.55081827, 
##     87.70635986, 88.84797719, 100.0991304, 98.12863662, 94.1532701, 
##     98.86788305, 94.87595168, 92.3, 93.78157895, 86.98746553, 
##     90.04993477, 72.35692404, 66.68596475, 56.86631966, 62.3893145, 
##     62.7104289, 69.77466111, 61.03531238, 53.59979728, 54.11519667, 
##     55.46138796, 61.62713705, 66.00533968, 68.57062347, 68.45440359, 
##     72.89262866, 76.38426654, 97.26042467, 91.68041223, 84.39917931, 
##     90.15565909, 82.2424836, 89.74637994, 93.02449563, 88.4, 
##     96.87272871, 97.47804696, 95.55982259, 97.91119436, 98.87511308, 
##     94.86477924, 94.63876797, 93.46091031, 91.92166011, 88.31941988, 
##     86.83920929, 93.75841956, 93.22236831, 91.72721691, 90.62736988, 
##     88.19612652, 88.67446521, 77.69174638, 79.29278929, 79.59563551, 
##     70.05670776, 51.96464813, 41.8148203, 43.25383792, 52.1, 
##     49.73393614, 53.80040591, 52.49173038, 49.73930191, 51.27923628, 
##     50.05149164, 50.42206135, 50.81120836, 69.24623995, 70.58805137, 
##     83.15252794, 88.27142051, 84.4173255, 82.72998012, 81.96353512, 
##     86.62378074, 89.00791855, 93.37230899, 89.5, 90.82983998, 
##     90.17764152, 90.102855, 88.70930305, 87.71037698, 86.14014987, 
##     85.64486072, 90.69926152, 88.11320494, 91.98626625, 93.81879892, 
##     94.01361298, 87.97866829, 82.11519536, 74.07821271, 72.50025364, 
##     68.30521492, 61.07036787, 51.8755526, 37.27162798, 55.47379976, 
##     60.01282346, 100.1685532, 94.95881901, 86.31900228, 83.12511268, 
##     85.98592913, 87.62017859, 71.77960885, 74.37346061, 70.36116216, 
##     56.4889206, 65.21940705, 61.44240193, 64.84240065, 68.42780522, 
##     58.82792767, 52.54266784, 62.39977688, 69.7, 81.38538888, 
##     86.71335855, 94.79065425, 94.48015651, 95.30949957, 96.6444626, 
##     89.37222599, 86.78434177, 89.23907428, 86.26836955, 93.11994773, 
##     96.1123046, 98.41526527, 87.00960549, 90.93444962, 96.50596008, 
##     96.63600206, 100.5953447, 96.78246308, 96.36867111, 93.36338603, 
##     68.22970479, 67.02271643, 56.54486223, 54.82469137, 53.1558137, 
##     51.54765877, 57.64542227, 62.80018327, 64.33193951, 50.89571831, 
##     52.06991106, 52.58222934, 60.57618964, 69.18975348, 74.4661602, 
##     78.57695863, 75.3758654, 80.44264769, 91.25726966, 95.99871766, 
##     90.54362694, 85.87279786, 82.99236538, 80.5582053, 78.75676077, 
##     79.75773796, 77.08119795, 91.99645048, 102.5110155, 100.2308543, 
##     99.38970813, 92.33096623, 91.70567063, 92.56231596, 101.0317949, 
##     102.3501775, 104.4095655, 96.45245048, 98.25744742, 93.05967101, 
##     81.49988979, 83.25705422, 87.60638458, 74.26918479, 54.38234297, 
##     39.56665193, 46.88053276, 63.51171435, 78.06785236, 80.8733659, 
##     56.64903534, 54.39308976, 66.69939277, 70.65342136, 64.43358186, 
##     62.38436134, 48.95178542, 77.40688704, 76.24345779, 80.98893396, 
##     81.94886861, 95.51851266, 98.876334, 102.9378722, 94.86082512, 
##     91.37224212, 76.19527324, 80.66354711, 85.91933167, 91.3120248, 
##     101.8827674, 100.8050716, 102.1149446, 102.3, 57.99821029, 
##     67.68281282, 68.7479442, 74.96684965, 88.87406104, 94.80702289, 
##     95.0018825, 96.19863145, 96.9276596, 97.25204256, 89.80339815, 
##     79.18713429, 75.61703424, 79.15355756, 98.35044496, 105.6259417, 
##     112.3058539, 110.5460804, 109.8167394, 107.6996361, 105.8490226, 
##     95.07038511, 94.71661141, 95.42638714, 96.83034587, 104.6906808, 
##     112.4942988, 98, 98.48104873, 97.0681657, 96.08177965, 45.0956157, 
##     44.19170892, 42.67657258, 42.98549591, 40.41533735, 44.27668959, 
##     43.94617537, 46.53656321, 41.61923351, 45.90775479, 50.16340541, 
##     64.9188869, 69.64812409, 67.01961648, 70.01457416, 80.64651848, 
##     90.18134837, 105.6304422, 96.5, 114.2469129, 110.7508346, 
##     106.4478285, 105.9149508, 107.6833227, 108.5390624, 107.3485449, 
##     108.6993407, 118.1912558, 115.8911724, 97.52107151, 100.2865889, 
##     90.92549859, 89.23775302, 90.04155336, 90.26048345, 82.95460925, 
##     71.81609718, 64.48252618, 57.42775527, 68.06415474, 58.26555391, 
##     58.44103646, 51.83767173, 48.49479745, 46.78965915, 51.57153661, 
##     48.50158925, 44.1530107, 51.11988915, 47.25922441, 40.62727866, 
##     40.76572321, 42.88366241, 50.08636405, 54.14235583, 73.84678913, 
##     75.96544684, 88.4, 92.1753946, 92.8383218, 93.93117921, 94.82044183, 
##     99.79611333, 104.2862626, 100.3411231, 99.10750308, 105.5988253, 
##     111.6382492, 116.2541646, 113.9133185, 110.7090867, 114.1358034, 
##     119.3835207, 113.5893281, 117.2015777, 115.22518, 114.6319943, 
##     113.8300776, 114.1658778, 113.7517281, 112.7708992, 115.1904754, 
##     116.9870328, 114.3443974, 112.2072983, 109.2073533, 108.8937037, 
##     109.0519981, 109.6601204, 107.7389147, 107.7558963, 118.7321294, 
##     121.9798819, 98.43729168, 101.084332, 97.08399492, 94.40765051, 
##     92.69698968, 93.95774796, 92.55667744, 87.97159943, 85.25873405, 
##     86.30817725, 85.68391461, 70.42488154, 68.99650446, 65.17667771, 
##     68.9351181, 73.7728692, 59.4333164, 61.12562248, 61.24482881, 
##     60.98503372, 59.85615055, 52.97509751, 54.61423321, 53.96386334, 
##     48.04815692, 44.83196947, 54.20253079, 58.1350836, 64.27164239, 
##     75.05219285, 87.54318682, 90.41494783, 90.99124043, 92.81993853, 
##     92.74512232, 91.76131621, 94.90810127, 100.0104662, 104.5368877, 
##     104.2070757, 103.1073066, 108.0925783, 108.3327746, 113.5292743, 
##     111.3764222, 111.4916944, 115.0029165, 118.6666102, 116.8401837, 
##     119.2560566, 117.5614995, 97.35375569, 82.3431327, 85.98978744, 
##     83.82903225, 78.17853728, 74.47233483, 73.17085488, 72.97847621, 
##     73.81491717, 67.08942733, 57.31297148, 64.0513184, 62.59338777, 
##     56.84984661, 68.71739144, 72.94461292, 46.24318616, 38.70969806, 
##     36.88335602, 41.39435088, 44.007402, 47.57788703, 54.9074093, 
##     49.29753795, 45.39817291, 46.82066153, 49.87735022, 119.0891752, 
##     118.5563467, 120.7915089, 118.6216761, 117.4227511, 118.5595682, 
##     114.61911, 114.1693477, 115.8839543, 109.3115253, 109.0281612, 
##     111.7331081, 111.859419, 112.6150462, 113.3633717, 118.4324691, 
##     120.7689514, 113.374016, 106.4258539, 103.3, 102.2487082, 
##     91.31108735, 87.79819076, 80.71871456, 74.86576565, 73.40082831, 
##     75.37070833, 72.1199873, 67.26100596, 61.42037435, 59.6037041, 
##     59.14692354, 54.86307037, 54.02831664, 53.22336267, 47.0460588, 
##     53.41043718, 57.53413266, 68.99752609, 65.70640139, 63.15096551, 
##     59.79338323, 51.21483889, 42, 42.39993774, 44.11145058, 56.90703755, 
##     53.77435688, 50.65058347, 55.63434238, 52.85853798, 45.97287019, 
##     35.49958534, 43.00879873, 44.62270377, 42.46758058, 44.2504131, 
##     48.86295045, 59.92531437, 62.37416131, 65.74477809, 64.29013781, 
##     66.65902136, 70.38522184, 75.50673867, 83.00999626, 86.83857821, 
##     86.71697878, 84.34424207, 79.71069736, 99.48646598, 109.5756678, 
##     110.201605, 106.777879, 104.9761023, 107.048243, 111.5346775, 
##     111.5983184, 115.3579033, 116.4642242, 116.3121995, 114.1838703, 
##     116.5186684, 118.0105122, 118.8631182, 120.0688066, 119.2985354, 
##     116.9361417, 119.5716636, 118.0755791, 118.8107989, 120.747696, 
##     118.7940183, 117.9, 58.25224371, 67.74826973, 62.89370813, 
##     60.20585144, 58.92731767, 55.52139671, 60.24869037, 56.27216045, 
##     51.30802101, 56.25216216, 48.59178042, 42.64434763, 48.89000314, 
##     55.70922235, 49.42486976, 48.31866938, 52.42591609, 56.92081234, 
##     61.47100525, 59.23283953, 80.31205685, 79.35112718, 93.4081442, 
##     100.5804429, 94.92677201, 101.7670748, 102.1596389, 99.94853567, 
##     107.9091789, 112.8325118, 112.1154058, 118.7553296, 116.7765843, 
##     117.8435242, 119.8426446, 117.9725511, 118, 77.97258154, 
##     68.95192126, 70.32429014, 67.23540134, 65.3531949, 63.82504956, 
##     56.36861723, 51.93505735, 57.16446385, 61.65849566, 69.13664498, 
##     73.08638267, 75.28418104, 72.57812382, 63.65347114, 52.06974935, 
##     51.4057334, 55.45481266, 54.33126697, 56.94439972, 60.64177943, 
##     64.76625971, 58.503233, 53.3815683, 50.95873915, 56.71018478, 
##     59.35352065, 54.45867658, 56.46482423, 58.1350836, 56.39113807, 
##     55.09969435, 57.03184369, 65.46845034, 70.33318146, 70.44235859, 
##     82.73929648, 88.48614555, 91.14708354, 94.70500446, 97.68668425, 
##     99.20306391, 102.0277228, 95.94086443, 98.05830648, 100.7492655, 
##     97.94695219, 107.3252765, 106.4600805, 108.6467187, 111.4040914, 
##     114.692784, 116.3147945, 116.5878216, 117.5529931, 118.8, 
##     117.5042622, 117.8973716, 118.484352, 116.7776101, 116.3989097, 
##     117.1084989, 116.8780256, 116.5950594, 113.6105957, 113.9455805, 
##     112.9130217, 113.1045149, 111.6063689, 97.59543801, 95.20829362, 
##     99.47328559, 96.51285589, 100.017912, 103.8052868, 101.1205697, 
##     78.12661649, 67.08569596, 65.7, 69.38010952, 64.32073051, 
##     58.46255905, 56.71729421, 58.82879757, 55.66889489, 53.37263535, 
##     49.33416132, 53.04591537, 48.34262046, 49.29549789, 51.66870783, 
##     56.20103523, 48.05254342, 35.70874042, 41.23592318, 48.23412915, 
##     46.30709139, 42.75124375, 43.93347083, 43.59051169, 46.40892253, 
##     42.90907804, 43.1053118, 46.23376396, 44.57444789, 37.43379909, 
##     30.74105531, 31.30735829, 37.55373067, 38.01964438, 39.11496141, 
##     41.86900306, 47.79077901, 54.03914137, 59.40948483, 60.01688069, 
##     64.69416545, 76.63876378, 78.60540888, 80.28886482, 78.13661218, 
##     74.82226376, 71.20973875, 78.40016136, 81.92857031, 87.95762188, 
##     97.03349627, 95.9338013, 93.65323285, 97.75574123, 99.2, 
##     109.2092397, 113.4725383, 112.0950905, 112.8299411, 113.8025077, 
##     118.4271488, 118.0792312, 116.7422532, 118.3853319, 117.3869969, 
##     116.9424469, 116.8406663, 117.7530447, 118.3525826, 116.8396036, 
##     117.2870761, 117.5575049, 113.6477405, 115.7839032, 114.8227513, 
##     111.6548251, 110.1750644, 111.5996354, 110.0540946, 104.8184408, 
##     103.4778676, 105.4711781, 103.0950306, 100.7, 99.33199976, 
##     110.0123258, 108.3810745, 103.7383946, 103.9553157, 99.8485105, 
##     89.29857093, 82.06883652, 78.38989355, 75.67352766, 71.14391176, 
##     66.09465017, 66.33199465, 62.90245799, 57.54783315, 53.97775648, 
##     61.55559951, 48.2, 58.29494246, 52.99991692, 48.63261474, 
##     51.32073803, 52.60570068, 53.65326712, 49.93364432, 47.08991754, 
##     42.25844843, 42.10666772, 41.32186121, 42.03973884, 36.74202362, 
##     57.51088763, 56.79109322, 53.34797559, 47.57617019, 40.71238517, 
##     42.17488948, 51.70232524, 58.37361868, 61.02026757, 59.77255832, 
##     65.00206787, 77.93251396, 77.28939466, 75.38832872, 77.51601927, 
##     80.03297587, 81.67802475, 91.51183516, 86.9496546, 118.6570694, 
##     119.7064404, 118.4643494, 117.1446232, 118.4065602, 118.753593, 
##     117.8697875, 117.7514187, 115.3373264, 115.0445934, 112.6572582, 
##     111.3297735, 103.9202994, 105.5793656, 102.4007599, 107.250982, 
##     108.7028196, 107.3268633, 104.7313044, 99.43199029, 94.36195629, 
##     86.2295969, 79.63816236, 83.35191797, 81.27767615, 118.6824311, 
##     119.7098985, 114.3735253, 116.2892633, 107.7650063, 107.0675202, 
##     101.6208853, 117.3247019, 123.096355, 120.8842929, 87.57077208, 
##     89.64572489, 83.39401537, 82.66055319, 74.91737349, 73.26532468, 
##     66.16601703, 68.3, 44.51304726, 43.84955748, 41.98910472, 
##     46.92161189, 55.01668359, 58.0993793, 56.83149699, 72.38829814, 
##     82.37329321, 84.49155641, 98.49147584, 103.0286814, 98.61170215, 
##     94.66000983, 99.24714536, 102.6524494, 109.2505952, 107.2334938, 
##     102.9107501, 106.4105935, 108.1486154, 113.6217043, 114.0433542, 
##     111.9735196, 110.4195683, 115.2870442, 118.7882248, 115.332095, 
##     111.4092487, 112.8325118, 116.8994888, 119.5296137, 118.6756425, 
##     114.9894157, 114.5952051, 115.3234303, 114.7916165, 113.9489075, 
##     111.36067, 109.3307343, 109.2320136, 110.6649483, 110.0400066, 
##     110.206656, 116.0945514, 121.3222919, 114.4022778, 98.23221819, 
##     97.03349627, 98.50815019, 109.8571362, 102.8216119, 98.67638081, 
##     101.516778, 109.2200947, 113.7200235, 116.7824756, 116.5777423, 
##     116.7572753, 116.0454336, 113.6743991, 114.8592237, 114.0260912, 
##     113.7035107, 115.7810925, 115.0189299, 115.0865031, 114.9846985, 
##     114.8594285, 114.5408095, 114.3739433, 114.3443974, 114.067994, 
##     62.51272865, 59.10427719, 59.02150748, 58.23313131, 58.57693148, 
##     55.54574032, 53.70002276, 52.65697294, 53.83935725, 54.05808705, 
##     54.47717224, 56.09752685, 58.98944816, 59.73627418, 66.55111809, 
##     63.5378299, 63.00122998, 58.57752321, 50.67555028, 62.87123216, 
##     55.4787351, 50.65626743, 54.03250998, 59.69137764, 62.4033426, 
##     67.13502009, 60.09361256, 60.45157123, 63.2775012, 59.69798616, 
##     46.17617769, 57.4067769, 68.2130699, 57.31690101, 51.95094593, 
##     56.29061209, 62.38649011, 59.28703897, 54.67545756, 59.55548834, 
##     64.33593796, 63.21588166, 58.92779459, 59.25549238, 63.13471319, 
##     60.73688593, 64.11708057, 63.4, -23.79411248, -33.45089664, 
##     5.351601051, 34.8352971, 15.46996953, 33.52250833, 12.52049767, 
##     18.88030746, 30.40449634, 48.83339511, 63.7221004, 56.34311527, 
##     -32.15840172, 3.09987507, 47.94210856, 17.06357524, 32.76375988, 
##     4.246039338, 15.9226893, 5.417953886, 42.36101247, 97.6, 
##     113.5505081, 111.8944816, 95.20617841, 93.37606387, 100.0597726, 
##     81.14969697, 65.56956262, 58.74800236, 76.02529155, 73.72767919, 
##     56.7387535, 46.11175448, 39.54199347, 46.3647609, 22.87417647, 
##     25.84171975, 57.89157372, 3.428627565, 37.74778602, 3.218002634, 
##     0, 25.14288796, -13.19013263, 3, 30.06848912, 39.54199347, 
##     47.45704197, 32.10859547, 18.69125957, 28.1309449, -36.7675558, 
##     -9.184173434, 8.012127376, 56.08316674, 40.4301948, 23.24793275, 
##     -2.630061617, -25.52193359, -44.4908888, -50.54487484, 12.34044667, 
##     16.86588682, 11.76668142, 0, 4.94065777, -2.480186019, -4.851189027, 
##     -5.21345196, -2.598791017, -5.229466941, -7.269663949, -7.448970869, 
##     -5.229466941, -15.57553068, -15.18649414, -11.72455025, 2.327680508, 
##     -51.23553997, -49.99994258, -85.24289336, 20.93180761, 34.03752696, 
##     47.07614467, 37.08333803, 25.24005567, 15.98530662, 12.19642141, 
##     21.01702722, 31.26604708, 44.92289294, 49.71716648, 60.43052063, 
##     82.99013446, 92.30608632, 112.248435, 97.62808697, 104.8985019, 
##     107.3239179, 107.004392, 118.6057854, 108.2916504, 111.6909383, 
##     111.948289, 103.7344208, 105.4844689, 104.6836933, 108.6523348, 
##     100.2393574, 96.84088717, 96.3996127, 90.67270832, 73.31485809, 
##     78.27383282, 83.76229424, 83.5, 85.20968541, 85.37265802, 
##     84.71612934, 92.56427369, 92.28273109, 100.3728468, 110.0131528, 
##     109.6350434, 113.4920395, 112.4905836, 110.3766165, 101.2319696, 
##     96.82501826, 91.90608066, 102.7418446, 86.65279362, 86.7381664, 
##     77.28074638, 63.57096543, 82.07676765, 90.33704373, 61.46657724, 
##     65.63065809, 38.3, 40.26546536, 41.28218779, 25.39308225, 
##     4.226086176, 27.80798857, 46.03231069, -8.042935577, 24.07404254, 
##     11.49398243, 16.73317881, 15.24895086, 13.1531917, 12.77539209, 
##     19.43850214, 20.00186289, 30.86204769, 39.90460142, 37.46460945, 
##     37.49996373, 40.14455821, 44.86998102, 44.75199752, 41.45068746, 
##     50.52884837, 77.99706484, 76.3, 87.34502014, 73.55809478, 
##     71.62841345, 80.34186952, 93.7563415, 97.26818795, 96.33073942, 
##     98.06361845, 95.94532917, 93.74353813, 93.40214407, 94.68129167, 
##     94.55741403, 91.80141017, 91.69266025, 92.25322343, 92.52890367, 
##     93.13170898, 94.24732092, 95.3886978, 94.39854092, 96.48910434, 
##     95.27519863, 92.64451787, 62.47408537, 62.09223897, 69.57972044, 
##     92.67048918, 98.27937232, 86.83376196, 44.05848253, 46.33927183, 
##     30.37838223, 59.46618831, 60.39501135, 61.45981205, 60.90075621, 
##     59.22328679, 58.3607327, 51.74832918, 32.16129018, 19.70823353, 
##     41.82600974, 52.0427481, 40.96144873, 32.1723891, 25.60204181, 
##     56.69557935, 45.2, 89.6972535, 90.16543465, 88.53441926, 
##     85.81870061, 87.06586479, 73.40674465, 75.46499524, 92.40833304, 
##     93.50872381, 89.52792207, 89.79377243, 89.42571864, 93.78715365, 
##     91.9695758, 85.95635869, 84.6, 86.16938992, 88.09821959, 
##     87.79094865, 82.06815198, 76.30182535, 77.22411545, 78.22139622, 
##     77.1029389, 81.34802131, 66.87266527, 65.88188781, 60.93499801, 
##     61.36574315, 78.15221556, 73.79031188, 62.16563368, 62.10806932, 
##     61.39000577, 18.83141953, 38.2898717, 50.48010367, 48.31257902, 
##     17.40097806, 8.519442491, 46.90742042, 27.94326067, 16.0403269, 
##     17.5339185, 30.00911398, 23.58599174, 29.83194679, 32.43421495, 
##     34.65976728, 31.28119467, 40.63894143, 53.33248839, 45.71747817, 
##     66.66195361, 61.37452277, 65.95342689, 77.20982861, 82.78743471, 
##     82.17830682, 83.97518561, 70.03060669, 70.99560433, 77.63453951, 
##     79.82627684, 84.57688315, 90.73821879, 91.45965431, 93.4711282, 
##     91.97332242, 89.00243381, 89.47141619, 87.27581627, 89.16048302, 
##     91.86493652, 96.10933845, 96.38071121, 93.29238116, 91.88442088, 
##     91.99190035, 90.60538066, 91.71066536, 90.25532948, 91.40352699, 
##     92.13957273, 91.2774933, 90.88959726, 91.28468695, 93.45658649, 
##     97.12428275, 96.87334348, 92.01719101, 79.84668311, 88.85775254, 
##     82.81504671, 91.21256485, 85.03007207, 76.01025074, 76.69841286, 
##     79.10850752, 85.43659078, 81.84084757, 76.84915864, 52.50406393, 
##     42.19650485, 33.69894396, 48.70622947, 57.03024025, 58.02530702, 
##     62.52820981, 61.37092212, 61.89856194, 38.37133336, 36.46256801, 
##     39.24363368, 43.44786453, 45.10286803, 44.57381122, 43.40840752, 
##     44.16520685, 39.38885439, 37.0908523, 35.91565669, 39.88739388, 
##     42.08894102, 40.65198667, 25.46475405, 37.20677589, 58.07197895, 
##     66.37003814, 65.31761819, 59.36209818, 59.36209818, 61.95621294, 
##     65.23288406, 59.9352129, 61.08580174, 74.53341861, 74.6, 
##     69.41224663, 57.43082012, 74.49881125, 80.5033695, 88.03738733, 
##     84.24608025, 84.65747796, 84.6876574, 88.63375831, 86.14857968, 
##     88.67270138, 90.56936403, 94.09567928, 95.39772403, 95.4590076, 
##     93.75653171, 95.51381272, 97.42354295, 92.14981665, 89.29263346, 
##     90.09983333, 91.07883842, 91.88247015, 87.5233053, 89.05793359, 
##     90.50050832, 92.76976831, 99.25155968, 99.07454617, 99.24162841, 
##     96.92940173, 96.70082604, 100.4623125, 101.880073, 85.87162369, 
##     89.21672997, 84.32455804, 92.07168131, 87.96574164, 89.74545797, 
##     91.42448189, 87.72768227, 81.76721457, 77.54644168, 84.47343394, 
##     79.53275715, 86.37531592, 87.82423112, 72.23308361, 51.5628836, 
##     50.40273058, 49.66895795, 42.1630449, 56.308947, 55.95156702, 
##     63.86449027, 63.98932021, 60.97619565, 69.76985458, 70.62187879, 
##     69.12162437, 74.93978189, 84.90473899, 87.4447817, 88.12217609, 
##     88.04530303, 89.65202744, 95.24215865, 95.53166181, 95.51381272, 
##     97.67888716, 99.68486663, 97.8, 100.646104, 91.37856732, 
##     94.04836412, 92.67101857, 87.85548732, 85.58056701, 84.02331769, 
##     82.56943358, 84.00140451, 88.2099037, 91.56252492, 92.33051017, 
##     94.92932946, 94.55838348, 85.18239987, 99.9543592, 99.37507569, 
##     85.43730417, 82.19432258, 91.39534214, 91.39534214, 91.39534214, 
##     91.39534214, 91.39534214, 91.39534214, 91.39534214, 91.39534214, 
##     91.39534214, 91.39534214, 91.39534214, 91.39534214, 91.39534214, 
##     91.39534214, 91.39534214, 91.39534214, 91.39534214, 91.39534214, 
##     91.39534214, 91.39534214, 91.39534214, 91.39534214, 91.39534214, 
##     91.39534214, 91.39534214, 91.39534214, 91.39534214, -70.43306612, 
##     -56.84586499, -83.66016368, -109.2118308, -92.7295218, -68.52237844, 
##     -93.07927834, -113.3504437, -66.85853747, -61.10042782, -121.8806962, 
##     -120.6316154, -114.8654171, -117.9722649, -121.841644, -108.3211629, 
##     -105.979928, -110.3593196, -113.2765487, -116.0363691, -118.6769802, 
##     -111.2399619, -104.9182651, -108.0854049, -108.8072043, -113.9813925, 
##     -107.3, -87.31923952, -91.92166868, -78.48039862, -115.975134, 
##     -151.5383095, 0, -108.1568156, -26.78062049, 19.04011299, 
##     21.11770066, 21.11770066, 35.42041058, 114.183373, 24.09445469, 
##     48.05001288, 48.05001288, 61.81157223, 71.59627902, 69.3, 
##     79.17198249, 83.69163047, 93.65121906, 98.3918964, 102.7544594, 
##     103.3065513, 107.3093777, 107.3093777, 107.3093777, 103.0461648, 
##     96.45303579, 93.90426834, 94.00934337, 83.96352588, 82.68955265, 
##     80.86623705, 68.34482346, 67.01073083, 55.80666412, 67.47409422, 
##     70.81060266, 67.56574841, 80.79864913, 98.41031186, 133.7149987, 
##     125.2978801, 121.2025657, 121.8440017, 118.4093779, 94.6042458, 
##     -103.8493123, -46.26305724, -52.76551672, -77.05444936, -62.72377404, 
##     -60.12642167, -113.0820372, -95.53166181, -114.0747096, -129.8243452, 
##     -125.7297639, 0, -73.62207175, -97.53457648, -114.4, -113.6165081, 
##     -114.1436344, -112.1882728, -110.0828554, -111.0228961, -108.3712687, 
##     -119.401794, -120.6493272, -102.5482586, -28.0726995, -101.5244805, 
##     -105.8035614, -104.5342642, -92.73875055, -96.21547427, -105.5154572, 
##     -21.6381462, -36.06311701, -50.9, -41.25683193, 11.68641362, 
##     -45.71747817, 0, 26.46924402, 12.06785531, 60.12642167, -27.98093157, 
##     43.78564991, 101.5675159, 87.44569163, 57.74699514, 78.4964512, 
##     79.9685822, 74.1947268, 85.15178699, 89.01383974, 89.05746121, 
##     90.14531945, 91.16262704, 72.82114186, 67.25686874, 72.47725178, 
##     70.74395852, 68.1, 69.60380085, 74.43554629, 76.97292713, 
##     76.15066814, 81.9688548, 80.61998236, 79.21125335, 74.98231319, 
##     90.22368472, 84.41805062, 98.74256587, 87.90698224, 111.2186961, 
##     116.875135, 117.3958973, 93.02740141, 71.98455062, 95.47826503, 
##     68.8009342, 71.57784031, 88.20582268, -58.45514983, -77.41752759, 
##     -90.2675246, -107.6632893, -65.08203274, -91.51144042, -97.03527311, 
##     -114.94888, 45.59430503, 51.90128074, 54.36698541, 46.59604032, 
##     54.37483727, 62.48944006, 62.44481054, 62.37459435, 65.5303245, 
##     61.77392861, 63.30113972, 62.29213841, 63.94602149, 64.42782208, 
##     64.81349573, 63.93659824, 63.24903685, 63.40881961, 62.0642249, 
##     61.43182074, 61.86229289, 63.21119521, 62.39846032, 62.43131108, 
##     60.85892161, 61.9, 50.30338725, 50.55801576, 48.80772231, 
##     58.6422999, 58.84150439, 60.77541016, 56.69599007, 56.26000412, 
##     51.69868004, 51.25589729, 50.59407228, 48.98315045, 48.94152762, 
##     56.48263598, 56.68943656, 54.5565412, 55.04824691, 58.22272915, 
##     55.23999925, 53.79050504, 57.9075333, 55.65453817, 57.39886988, 
##     56.67630979, 55.04824691, 55.97632641, 55.56499617, 53.31425023, 
##     54.00484875, 55.34933016, 52.40288226, 52.40288226, 54.71893198, 
##     54.23138904, 53.60505081, 52.89389191, 50.11267713, 52.55307068, 
##     50.6792682, 52.89389191, 54.38166419, 54.48438578, 53.79050504, 
##     54.42123072, 52.55307068, 52.62811936, 52.02220799, 55.65311046, 
##     53.91429862, 52.43264897, 50.46393946, 51.55299042, 51.74047776, 
##     52.50505176, 50.46393946, 51.17313262, 49.93336402, 48.74919167, 
##     46.88096426, 46.66796689, 47.50810213, 48.50150065, 48.23611967, 
##     49.30544696, 49.30544696, 48.31326855, 46.53184355, 47.07226016, 
##     48.32068289, 47.04808837, 48.31866938, 48.68762396, 46.1745134, 
##     48.8, 91.39534214, 91.39534214, 91.39534214, 91.39534214, 
##     109.7101341, 118.8451121, 129.4610079, 129.4610079, 86.16938992, 
##     -102.9696801, -102.9696801, -102.9696801, -68.97750008, -68.97750008, 
##     -68.97750008, -100.6853685, -100.6853685, -87.76431522, -99.44211062, 
##     -139.6888913, -111.2, 64.29019624, 85.29832464, 77.1672599, 
##     16.24676617, 23.95112507, 48.42043913, 40.06373106, 53.00310593, 
##     46.18997751, 44.26692319, 43.88047878, 45.67263707, 39.72755159, 
##     42.59373269, 48.15014133, 37.79683115, 38.54572809, 34.76068598, 
##     39.92133378, 52.02399901, 50.80017404, 43.35968098, 49.58096152, 
##     43.47431545, 46.10573334, 30.84745681, 58.89917653, 60.46604781, 
##     63.88769991, 65.0898587, 67.64201926, 75.01080149, 80.02478982, 
##     86.16976343, 84.12486051, 92.26590771, 89.37148817, 87.78850544, 
##     87.73035661, 86.91751759, 86.32740004, 88.2218146, 89.65894867, 
##     89.5, 84.69688735, 85.06039298, 79.70046216, 79.16202005, 
##     74.05619792, 74.23315808, 78.46998798, 80.66063773, 86.17875265, 
##     85.71507832, 87.66062479, 88.13691136, 96.86928548, 102.6926769, 
##     99.89405123, 87.65873138, 87.22546286, 92.48147411, 92.87034119, 
##     92.41995361, 94.68711913, 90.34717832, 80.95591627, 106.6213478, 
##     91.26854629, 112.7885283, 120.0042952, 98.04953028, 60.96716945, 
##     0, 123.0959417, 140.0011321, 140.6651927, 132.6143808, 120.6609531, 
##     130.2667288, 126.9675278, 115.332095, 122.1320586, 109.7101341, 
##     111.0726592, 118.6943275, 110.0993234, 95.22953502, 95.54248278, 
##     98.62280198, 112.6032796, 97.31378986, 86.01495917, 65.78791528, 
##     69.38221279, 62.8358319, 84.34497043, 76.40642217, 69.56449855, 
##     73.04408868, 63.39190285, 64.69937718, 69.69793499, 67.20314678, 
##     79.76288619, 82.30083143, 95.4270988, 97.22873541, 94.76778089, 
##     101.2400814, 98.29491161, 98.36494083, 101.5100236, 100.5885792, 
##     97.60114267, 84.54791695, 82.8833135, 82.88701532, 86.83361964, 
##     88.68061041, 89.90645705, 88.43337745, 67.59835761, 76.68734722, 
##     74.39156073, 74.96313355, 68.67538988, 53.2438095, 32.83879084, 
##     44.92500855, 59.95676519, 71.31694612, 62.4140603, 58.45514983, 
##     57.88657879, 52.6, 77.61718378, 60.41674357, 52.07402855, 
##     59.6750131, 58.62432536, 62.39840745, 64.25791315, 72.03297366, 
##     78.21382831, 90.06092168, 91.78553543, 91.58804003, 94.12477854, 
##     90.19271904, 85.67811407, 85.9881523, 87.14413208, 81.86755814, 
##     82.77616401, 86.54586576, 91.42899583, 86.55574623, 85.24589682, 
##     89.78194079, 90.47105834, 94.56608634, 101.7643042, 108.7, 
##     85.03127752, 88.04646442, 70.38272927, 63.14576415, 58.38329359, 
##     54.18556317, 52.68028256, 54.04853784, 55.71511525, 57.37563503, 
##     59.20319806, 62.17083369, 67.29866628, 57.38221832, 52.00619576, 
##     50.04857841, 53.86643551, 55.93798276, 57.24512835, 71.51428831, 
##     78.38594103, 79, 61.79256851, 62.1395691, 32.73488431, 42.4863879, 
##     55.43137605, 70.15140225, 75.72587517, 66.27643627, 65.13888083, 
##     65.06499629, 53.69872973, 50.56892426, 50.8738668, 57.24496504, 
##     63.19643219, 56.37862826, 59.0705659, 55.78404118, 57.3995193, 
##     56.3470433, 55.22448955, 56.11712448, 55.82015144, 60.63232553, 
##     57.83545034, 54.67560816, 55.9207949, 57.51664028, 57.24422752, 
##     58.2, -12.49877348, -1.714817745, -1.714817745, -1.714817745, 
##     -1.714817745, -1.714817745, -1.714817745, -1.714817745, -1.714817745, 
##     -1.714817745, -1.714817745, -1.714817745, -1.714817745, -1.714817745, 
##     -1.714817745, -1.714817745, -1.714817745, -1.714817745, -1.714817745, 
##     -1.714817745, -1.714817745, -1.714817745, -1.714817745, -1.714817745, 
##     -1.714817745, -1.714817745, 25.11907369, 27.88687932, 29.12376309, 
##     27.41980413, 24.62292156, 26.75686091, 31.18312959, 32.88988054, 
##     28.28927048, 34.27923977, 35.6422047, 33.99345156, 36.73937534, 
##     39.64303725, 30.95904336, 30.30901977, 30.77909286, 32.86932017, 
##     40.06373106, 37.1345131, 38.95895622, 34.37767593, 36.23503785, 
##     38.18433461, 32.90184735, 29.68205625, 31.35706408, 32.4, 
##     19.99751812, 20.92994474, 43.58393432, 36.84066446, 35.14182991, 
##     38.5997986, 29.74061217, 29.07547537, 32.96140196, 33.0357172, 
##     32.39182438, 31.59285545, 26.66346318, 28.75866361, 30.31523824, 
##     32.89739401, 33.77960501, 32.13353262, 32.81313569, 28.56174469, 
##     26.74578633, 42.67381293, 41.52517594, 46.97527678, 31.9341351, 
##     51.52138462, 48.50379511, 20.96654468, 35.29684569, 33.59280106, 
##     28.09855683, 12.12439267, -4.735580465, 6.8212704, -39.78731175, 
##     -39.68940203, -98.84417733, -81.1751591, -103.2563208, -122.6116565, 
##     -105.1235032, -150.3554352, -133.5874871, -92.02594406, -111.5599857, 
##     -115.1848066, -109.1375241, -108.6, -47.33183317, -98.84417733, 
##     -111.8017855, -123.4121507, -137.3306891, -132.3012851, -130.8643393, 
##     -114.9877258, -101.3986724, -122.3280902, -112.0918915, -116.0366238, 
##     -102.6092973, -107.1695386, -124.1745562, -90.60452299, -78.88396852, 
##     -26.18225758, -6.181219276, 13.1, 34.43755005, 35.55246705, 
##     38.6415326, 36.9303718, 43.5373592, 41.03441946, 35.74334717, 
##     39.64185222, 41.86373613, 45.54799218, 45.95947916, 45.03938248, 
##     36.60961886, 43.481708, 47.27756737, 41.87087294, 41.2763925, 
##     36.58796695, -7.862146299, -36.10394766, -50, -1.12496924, 
##     -32.75716212, -51.53694904, -57.47045809, -74.45116675, -80.39895209, 
##     -82.44954082, -82.80462672, -88.480673, -89.29961064, -96.34562572, 
##     -96.40328005, -91.03878078, -87.8702465, -80.96442867, -90.57357572, 
##     -80.1853208, -90.7191808, -87.06272973, -107.9873094, -105.8006222, 
##     -83.27063434, -83.09748012, -87.00150497, -89.97294512, -90.58309012, 
##     -83.53214165, -90.73624589, -95.1, -92.06306421, -95.33753446, 
##     -85.48416721, -110.5261472, -114.6749759, -108.9495072, -97.97292993, 
##     -103.5416275, -91.03395858, -84.98666583, -117.3818649, -114.949719, 
##     -105.8647938, -112.3966499, -78.16775834, -57.46256054, -76.87330397, 
##     -79.28656306, -13.00066583, -7.620568066, 3.236677368, -10.72384372, 
##     -14.94753139, -18.46734818, -2.215712321, -39.07446022, -36.65627015, 
##     -45.46683305, -53.97923704, -60.82540276, -51.38526954, -62.72710694, 
##     -75.02652666, -83.89435518, -67.92669764, -49.8576467, -43.66271598, 
##     -54.27580811, -64.92138643, 8.575601591, 0, 2.698107988, 
##     -19.10874681, -61.32073489, -64.44640505, -51.21809461, -51.45984796, 
##     -42.14192069, -61.19202749, -61.99480684, -44.88314381, -49.15439241, 
##     -54.5372358, -39.63393038, -29.8, 79.2242884, 66.47334644, 
##     66.04334711, 52.21321757, 33.10960767, 37.4333616, 37.46460945, 
##     36.06461445, 41.76527692, 35.19838047, 56.94439972, 54.70341648, 
##     49.89130118, 42.8453145, 44.1730439, 44.76934617, 44.02463652, 
##     59.74850585, 56.3567007, 60.17814356, 59.24604806, 66.83860141, 
##     50.50406291, 45.8842055, 38, -108.1612477, -114.1317958, 
##     -112.9558502, -124.6978211, -128.885684, -122.7181227, -86.0459849, 
##     114.7365495, 112.4078115, 107.5739666, 106.4242153, 124.4135502, 
##     100.6697303, 133.6554429, 114.211861, 113.4753863, 109.7150044, 
##     100.9002906, 101.7695947, 105.9743046, 108.5821269, 103.7997745, 
##     121.9617743, 123.2136846, 121.0855664, 114.23387, 111.1583526, 
##     108.5889421, 100.3732428, 100.2213971, 96.60899124, 76.04137646, 
##     73.93417951, 72.30185874, 74.27931217, 83.11646361, 85.07622963, 
##     85.83626124, 86.57717382, 108.6948758, 135.4634995, 144.1297913, 
##     124.9132883, 98.70805159, 97.4, -136.0971945, -148.7798402, 
##     -134.9151673, 36.67340591, 50.24148996, 134.2359325, 131.1710168, 
##     141.0480718, 139.6276372, 126.1597414, 133.7934895, 129.9139203, 
##     122.1615417, 124.0350292, 122.296795, 116.1947532, 113.3799442, 
##     115.6333229, 113.6313559, 111.755497, 107.4301342, 104.3899622, 
##     108.8045343, 104.3, 137.8271001, 134.2561367, 139.4974704, 
##     136.1802055, 135.075077, 122.6472872, 114.5302184, 116.4461749, 
##     111.0146645, 108.2218251, 105.7235132, 101.8963046, 91.63741686, 
##     87.27430487, 89.32893237, 85.96219052, 84.45998482, 83.86520086, 
##     83.99481933, 92.3136023, 103.6493739, 109.0129817, 133.9551421, 
##     116.6208904, 117.6620135, 55.51211676, -122.6116565, -100.1261527, 
##     -56.39426414, -144.7203498, -145.4206102, -112.6134614, -79.73993157, 
##     -29.12849284, -69.609158, -116.1409193, -151.9559159, -136.7108399, 
##     -58.64066432, -137.8751924, -132.1163377, -143.1941421, -127.5547423, 
##     109.3450944, 113.673381, 121.8436987, 125.6086417, 103.8829574, 
##     124.1625375, 119.757596, 116.4912991, 113.8301933, 119.66636, 
##     121.4797487, 129.0555381, 127.0383549, 125.9865206, 109.477963, 
##     105.909754, 100.5947753, 109.452222, 108.2532973, 106.9521424, 
##     106.9521424, 111.1455857, 95.52723915, 83.0140572, 76.83812388, 
##     74.36439985, 79.21606048, 82.49918157, 85.7971456, 85.01743877, 
##     88.54550454, 102.1900884, 111.4, -138.0593449, -129.7100081, 
##     -123.0603349, -131.0503741, -118.2012006, -94.88440309, -37.37921748, 
##     -77.72677238, -143.4215139, -132.7275137, -87.32277888, 96.87234065, 
##     123.4668943, 127.638836, 131.0801699, 128.0475482, 128.8157751, 
##     128.9290599, 134.8051252, 126.9568037, 123.6472524, 119.0154, 
##     116.1971539, 112.1660237, 105.9918722, -20.26401734, -14.13251343, 
##     -20.9991619, -53.67929085, -54.75529302, -39.25086379, -37.23953695, 
##     -33.65345953, -89.40887727, -68.52138937, -81.34480555, -80.96275559, 
##     -93.75490079, -98.55212624, -100.2, -97.60772345, -96.29499083, 
##     -98.4368772, -101.6882506, -89.80844968, -85.39137333, -83.359347, 
##     -94.53257726, -93.29238116, -86.42153711, -73.31987506, -78.88090623, 
##     -79.52374197, -90.76169016, -105.1510168, -103.4228146, -104.8473987, 
##     -99.48098693, -96.23193287, -90.16875264, -83.95647777, -78.47066002, 
##     -78.88790468, -83.54426176, -99.96599603, -98.35927428, -44.0510663, 
##     -49.9103704, -73.44184555, -64.8843906, -65.1701146, -66.66195361, 
##     -14.86042501, -41.74732828, -41.68453167, -31.04834605, -22.10472294, 
##     -32.12885893, -21.29031173, -20.10876889, -16.83520192, -18.9064989, 
##     -46.53738271, -45.60718368, -46.47316634, -74.89621734, -79.6504579, 
##     -86.78204701, -81.62883069, -87.21864346, -98.96652003, -87.5649941, 
##     -93.50766322, -82.41529752, -80.5073546, -82.49213324, -79.78564572, 
##     -86.40963806, -74.47107102, -81.48972628, -83.86881308, -83.43785643, 
##     -92.18223715, -98.86087924, -96.50107213, -97.99588352, -98.35370535, 
##     -94.76899108, -93.75206761, -81.5020352, -78.8, -80.85727914, 
##     -81.86944358, -70.28187003, -81.10948862, -95.65565381, -91.46731674, 
##     -83.06261305, -92.79213202, -82.06405519, -77.87357253, -67.46618102, 
##     -72.82402799, -72.38304637, -68.66736109, -52.81483462, -3.92467181, 
##     35.669801, 28.61034937, -43.16174597, -60.38728664, -3.729587083, 
##     -8.707565069, -36.33503152, -20.63515646, -12.04533943, -27.20197318, 
##     -9.485804701, -8.502637984, -15.35279929, -7.166156721, -13.76262343, 
##     13.93950831, -2.239616868, -15.73497325, -11.75509238, -5.418908377, 
##     -8.24582887, -1.007040324, 2.050374581, -6.383704765, -8.8841558, 
##     -14.11589821, -3.069063837, 5.742325659, 3.322888937, 10.17553843, 
##     -27.73920606, -26.00948884, -18.29862476, -5.347773462, 2.134596138, 
##     4.312392215, 15.24952983, 12.5638093, 0, -12.22105607, -4.6943105, 
##     1.193043365, 8.522248189, 4.530367383, 7.066168334, 10.44381079, 
##     9.671159884, 7.279287726, 2.548925731, 2.441264362, 2.394108194, 
##     2.078527496, 1.204411408, 12.40304589, -7.534819288, -8.4, 
##     -1.097730775, -4.369650204, -17.11434099, -11.77798071, -11.84676924, 
##     -24.71387523, -23.27780325, -5.966682154, -12.05749451, -5.403381218, 
##     -11.30786159, -20.16357003, -2.252648438, 2.239616868, 13.32032426, 
##     -5.870720159, -9.232908877, -12.14336097, -10.80050357, 7.750247739, 
##     1.16101297, 7.751145175, 0, -5.892286094, -5.660782357, -5.293551243, 
##     -21.00814213, -17.36508298, -3.7459054, -5.332071022, 19.20798302, 
##     8.427294254, -7.439382697, -30.91593726, -25.14372269, -33.60772855, 
##     -15.87189766, 10.71433287, 22.35748775, 19.89129686, 9.553972902, 
##     -25.85202531, -27.38850827, -22.98050044, -19.03148992, -4.063969475, 
##     18.38875813, -8.962421068, -19.31428374, -20.67312195, -19.51089951, 
##     -13.5887593, -14.49599199, -7.026168326, -9.38980943, -1.053468461, 
##     -8.571832769, -13.34441672, -3.007377204, -4.38828047, -3.075508073, 
##     -6.222382389, -6.205387196, 2.156697276, -1.094111113, -2.150827795, 
##     0, 8.716461919, 9.100532208, -2.504177145, -3.577772565, 
##     0, 5, 12.62240209, 12.80409213, 3.902031838, 5.583269633, 
##     8.563583048, 17.36086607, 17.60891217, 23.33895139, 23.82213605, 
##     16.39701409, 14.14388352, 14.12444419, -1.342836445, 1.244309924, 
##     7.010959084, -7.292596786, 0, 26.20747477, 1.150362902, 0, 
##     -29.20019843, -20.69519799, -14.6422128, 34.61627031, 7.547132287, 
##     -10.85189399, -14.19189255, -20.53412474, -8.718998843, -14.5459831, 
##     -10.06278689, -8.204097857, -1.012497089, 8.012975804, 6.253736459, 
##     6.357848012, 9.418559352, -9.42475448, -5.967567441, -4.768036252, 
##     -1.953040575, 1.067419661, -2, -7.075888893, -8.08632182, 
##     -6.788234341, 3.048711306, 0, 5.332241576, 2.340395537, 2.256947298, 
##     5.408436626, 2.270870848, 5.931126827, 14.43709983, 12.81255805, 
##     9.272833986, 12.7, 11.16459259, 7.334106569, 16.71189141, 
##     10.77713925, 6.74882373, -15.313581, -22.6600671, -14.16102282, 
##     1.067419661, -1.981979847, 2.092473063, 20.68586312, 11.16848207, 
##     -17.96550242, -32.87771545, -28.50034671, -25.55822076, -5.149261706, 
##     24.38918235, 1.08270094, -18.59902218, -17.50269418, 9.42682224, 
##     6.251020685, 4.036562274, -17.00668323, -14.07024008, 0, 
##     -2.99401802, -1.109354882, 3.069063837, 2.950407464, -0.997525879, 
##     2.187436823, -10.29692165, -1.141559454, 15.91799975, 6.598193217, 
##     -3.314765494, -1.103597707, 7.113685993, 20.78148168, 12.93199631, 
##     9.502536071, -8.823964715, 1.126467123, 1.212618685, -1.149678471, 
##     7.159197213, 14.16990571, 9.036237559, 2.333217779, 31.19745803, 
##     -26.0854806, 7.97268473, -14.01056918, -4.394897372, 9.184173434, 
##     0, 4.18563383, 3.087210716, 12.3287177, -5.214373268, -6.222382389, 
##     -4.068170976, 2.2, 8.408188642, 6.910723455, 17.80955263, 
##     2.005253975, 2.064967146, 2.998501205, 0, -1.953692743, -3.015418132, 
##     -7.007835422, -9.831077629, 8.012975804, 1.921951858, 4.058944815, 
##     20.63069231, 5.90367291, 6.574392403, 18.39104472, 2.001234486, 
##     -2.210293377, 14.99275903, 6.212035366, 7.94396293, 9.395115998, 
##     10.23855451, 20.98128342, 8.264719525, -1.714817745, -44.53010439, 
##     -72.82621008, -72.82621008, -72.82621008, -72.82621008, -72.82621008, 
##     -72.82621008, -88.74826388, -88.74826388, -88.74826388, -88.74826388, 
##     -113.0285664, -131.1710168, -133.5787289, -138.4333941, -137.9001298, 
##     -137.9001298, -137.9001298, -137.9001298, -137.9, -137.9001298, 
##     -137.9001298, -137.9001298, -137.9001298, -137.9001298, -137.9001298, 
##     -120.1952477, -107.531069, -89.05793359, -89.05793359, -89.05793359, 
##     -89.05793359, -89.05793359, -89.05793359, -89.05793359, -89.05793359, 
##     -89.05793359, -89.05793359, -89.05793359, -26.59901984, -129.0865174, 
##     -149.808162, -134.5000322, -111.8599972, -106.3137008, -124.9168251, 
##     -133.7053146, -97.91242907, -113.8349729, -118.883124, -87.30164338, 
##     -66.23768144, -93.11186058, -109.665536, -109.665536, -109.665536, 
##     -109.665536, -109.665536, -109.665536, -109.665536, -109.665536, 
##     -109.665536, -109.665536, -109.665536, -109.665536, -107.1695386, 
##     -96.94949254, -101.1235205, -80.77797826, -81.63478705, -78.23886869, 
##     -80.33231497, -86.93124735, -86.04063087, -90.18322525, -92.18265234, 
##     -96.42670979, -98.80317318, -100.75191, -100.75191, -100.75191, 
##     -100.75191, -99.87065051, -93.0134047, -97.58153423, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5, -101.5169348, -101.5169348, 91.269482, 
##     120.4230991, 122.6193508, 112.9064176, 112.9064176, 86.33683008, 
##     86.33683008, 66.76879512, 68.48163106, 62.6770895, 67.51240955, 
##     33.59754482, -19.49791342, 100.6853685, 46.05539917, -38.81931779, 
##     -21.36205913, 7.654664214, 34.87710036, -16.51486774, -34.87710036, 
##     -37.06975695, -34.30183293, -21.92522451, -12.58782599, 6.972979491, 
##     8.20151066, -15.26493284, 0, 10.56054402, -54.04195003, 0, 
##     -14.59966951, -61.91199361, -44.02463652, -25.7285848, -15.9226893, 
##     -19.36583004, -19.36583004, -19.4, 29.00903244, 33.07842911, 
##     51.26765865, 51.26765865, 95.53166181, 121.4062938, 105.5200942, 
##     97.3248846, 86.39934581, 83.33582441, 74.3185099, 71.29166989, 
##     80.04057758, 90.07620432, 110.8863255, 106.6567655, 109.6284972, 
##     113.0285664, 107.7370747, 121.5116635, 35.11847177, 81.13838858, 
##     21.70885726, 50.9300254, -7.677189127, 89.6912248, 103.8493123, 
##     -52.87254873, -34.37218585, -45.20961266, -28.04882109, -22.34356066, 
##     -25.70736391, -43.91775441, -26.45637071, -40.50396507, -49.27110053, 
##     -20.9033299, -13.65063112, -41.20567192, -21.99879774, -35.81302684, 
##     -22.7695452, 0, 42.05343353, 105.5990372, 127.8915177, 86.85393953, 
##     111.8944816, 114.9687462, 138.3260375, 128.7569616, 111.9265057, 
##     80.09593741, 70.88280415, 78.40131201, 114.4388059, 115.8774972, 
##     105.4506175, 120.029629, 116.1337567, 143.3000102, 40.32596974, 
##     133.970566, 75.90702093, 118.2012006, 16.92370867, 118.4649477, 
##     -36.71738338, -50.54487484, -54.50675432, -43.81490306, -30.78870916, 
##     -59.07771879, -47.99751082, -31.20252321, -42.36101247, -42.7974324, 
##     -36.58796695, -45.20961266, -28.61034937, -15.09012541, -39.80889547, 
##     -44.06878569, -35.65091632, -36.62869371, -15.26493284, -28.61034937, 
##     -33.07842911, -27.88403149, -22.42495806, -35.87706703, -40.48917863, 
##     115.0261992, 96.87234065, 95.20617841, 129.5153528, 71.88299996, 
##     106.3697822, 109.1270856, 150.8377517, 48.0895191, 87.67400783, 
##     95.79477276, 68.33736974, 64.44640505, 85.7759338, 101.7200996, 
##     91.62575925, 106.1, 101.9018776, 22.32536811, 7.677189127, 
##     104.8992428, 77.05444936, 77.05444936, 77.05444936, 77.05444936, 
##     77.05444936, 77.05444936, 77.05444936, 77.05444936, 77.05444936, 
##     77.05444936, 77.05444936, 77.05444936, 77.05444936, 77.05444936, 
##     77.05444936, 77.05444936, 77.05444936, 77.05444936, -65.80722924, 
##     -77.85486341, 119.4361455, 107.2626643, 73.28151018, 20.7776004, 
##     -59.1, 52.94703358, 94.6042458, 97.78331347, 79.59474693, 
##     79.59474693, 79.59474693, 79.59474693, 79.59474693, 79.59474693, 
##     79.59474693, 79.59474693, 79.59474693, 79.59474693, 79.59474693, 
##     79.59474693, 79.59474693, 58.6979672, 74.65355162, 81.32476126, 
##     81.32476126, 81.32476126, 81.32476126, 81.32476126, 81.32476126, 
##     81.32476126, 81.32476126, 81.32476126, 81.32476126, 57.58049005, 
##     77.98356259, 64.07639018, 64.07639018, 64.32668642, 67.17766736, 
##     84.90473899, 86.08010159, 86.08010159, 86.08010159, 53.78853341, 
##     53.07519722, 62.09575195, 62.09575195, 62.09575195, 62.09575195, 
##     62.09575195, 62.09575195, 62.09575195, 62.09575195, 62.09575195, 
##     62.09575195, 68.11196259, 68.11196259, 68.11196259, 68.11196259, 
##     68.11196259, 68.11196259, -52.24886276, -44.98475731, -23.02276391, 
##     -30.26599422, -44.74326146, -51.55490075, -43.66574414, -30.34655625, 
##     -40.05701291, -49.96415125, -49.96415125, -42.34159012, -61.99480684, 
##     -54.01745703, -64.81111078, -83.58848265, -92.20795397, -77.99706484, 
##     -71.82794756, -76.59646995, -80.55025289, -81.60634359, -84.03029591, 
##     -81.02276442, -90.3130871, -95.97709042, -106.5669304, -97.32620205, 
##     -93.25913688, -90.45862999, -105.5793049, -114.0824059, -131.1473852, 
##     -129.3, -138.952403, -136.6090735, -142.5206378, -144.8025208, 
##     -126.4467792, -143.1929608, -144.5930216, -147.9774554, -144.7203498, 
##     -145.3647409, -119.295247, -109.0191655, -132.7680385, -139.346375, 
##     -122.3314048, -123.5987009, -123.4668943, -123.9933686, -126.2902272, 
##     -133.1364684, -118.9617296, -98.82651228, -51.7309307, -48.61853923, 
##     -102.0047732, -39.44832955, -33.21281979, 27.21816182, -8.84173143, 
##     -27.11582614, -28.35610634, -124.6712927, -34.74514012, 43.98425828, 
##     -21.10933332, -94.17815244, -111.0571797, -85.91247548, -12.67035447, 
##     11.45411908, 10.25382675, -3.947710489, -52.80744484, -46.20035427, 
##     -72.71626112, -98.08112287, -49.25408519, -81.67439934, -82.6570217, 
##     -125.3109954, -135.3650885, -134.8164367, -137.772429, -142.9026086, 
##     -144.3286769, -129.0865174, -105.9948704, -127.5547423, -130.0246564, 
##     -102.4420088, -119.551259, -80.40747053, -77.92420571, -106.8463782, 
##     -114.6484771, -70.18693031, -75.54041582, -63.81693727, -82.19386172, 
##     -48.18592899, -124.4119996, -96.39887073, -65.20134293, -66.22575182, 
##     -70.88280415, -74.92842973, -52.50481935, -103.2563208, -75.3772542, 
##     -83.02574974, -104.3, -135.5659796, -100.3345852, -138.768551, 
##     -121.3155534, -96.52836748, -63.81693727, -121.6439985, -140.2475535, 
##     -127.6561762, -88.70356412, 17.36450116, -61.87709018, -66.72813369, 
##     43.5249907, -102.431356, -118.9758331, -33.51265581, -84.67168008, 
##     -102.865904, -121.7711463, -98.4529755, -47.2140925, -53.65894169, 
##     -86.96819609, -94.70579927, -96.8, -101.3115697, -97.36814735, 
##     -80.91600759, -81.0342893, -95.49934801, -98.93545461, -65.20134293, 
##     -42.55398542, -83.26147106, -95.17822542, -113.5347569, -116.143393, 
##     -136.0971945, -138.2672565, -142.2562791, -142.2972695, -132.3433382, 
##     -137.8314529, -127.2867956, -119.4518465, -133.6241105, -140.1498615, 
##     -119.4006808, -113.7485156, -118.6594703, -119.4953573, -103.5593749, 
##     -118.2486438, -99.64914966, -125.5288844, -110.6457513, -145.5919721, 
##     -113.0714538, -118.0322923, -95.47826503, -101.516778, -108.1568156, 
##     -60.98500561, -41.10128092, -60.12642167, -108.9846405, -78.19617102, 
##     -95.61333749, -108.6589552, -81.94699201, -37.64348721, -108.0067439, 
##     -68.92297054, -69.84077528, -92.75156907, -97.93158943, -85.0240456, 
##     -66.70784252, -75.59694104, -53.10141555, -107.2583816, -103.7576976, 
##     -116.4650207, -109.5588477, -132.9896997, -128.4106018, -138.4873432, 
##     -141.7492957, -130.2982799, -134.0133862, -112.5757641, -74.39494333, 
##     -103.68954, -29.80012196, -135.0808349, -123.0959417, -70.36389513, 
##     51.66828137, -53.18080969, -61.31363454, -81.96128936, -124.3890801, 
##     -137.7095285, -52.50481935, -128.9213784, -129.1030101, -109.3285914, 
##     -112.4154372, -119.1143498, -84.23581887, 4.989616804, -34.87710036, 
##     -72.58773067, -105.7519327, -118.760931, -143.4290016, -136.8514675, 
##     -121.1, -136.9595241, -127.2268715, -142.9525356, -152.8268792, 
##     -144.6441332, -147.584462, -145.5037109, -142.8034284, -114.7464331, 
##     -106.1056648, -51.80507155, -109.9258572, -19.94264826, -95.36845159, 
##     -137.5668759, -82.72894192, -121.6529668, -148.2637084, -115.7522518, 
##     -133.7581931, 39.65557123, -21.99879774, -84.41539861, -89.60026426, 
##     -103.243504, -59.24604806, 34.84396919, -140.7721568, -132.2767367, 
##     -106.5077517, -62.44205673, -100.6853685, -87.7868346, -125.3133134, 
##     -113.6131134, -40.46610728, -80.02008405, -98.27937232, -115.4085888, 
##     -120.1574548, -127.3028464, -119.2941916, -142.4784069, -149.8399306, 
##     -147.584462, -144.0013693, -136.3020323, -129.5776106, -105.0158348, 
##     -128.8451194, -140.0950039, -125.814913, -109.6691328, -128.6370111, 
##     -127.3819506, -90.9951031, -111.9162886, -105.9700701, -110.238857, 
##     10.06737536, -89.60026426, -97.61108787, -117.2867409, -67.86342436, 
##     -144.4954278, -141.8105726, -138.0808039, -122.466002, -98.18937001, 
##     -104.161372, -133.7053146, -126.4441231, -84.95398293, -70.4, 
##     -100.3733503, -120.7498453, -129.480942, -99.813275, -95.59702877, 
##     -81.18221192, -83.7981225, -104.341197, -125.6158826, -132.758257, 
##     -131.9769091, -138.7138933, -141.0557607, -141.5799585, -147.6196607, 
##     -148.9892228, -144.3709656, -145.9818894, -144.9444326, -140.9496388, 
##     -141.5874007, -140.5647649, -132.5925724, -126.1, -85.45068851, 
##     -77.55639439, -75.99355993, -63.23976915, -126.4413984, -126.2743546, 
##     -115.9688941, -130.5228871, -139.3764439, -134.9151673, -142.2309424, 
##     -148.3180169, -150.8763021, -143.8982564, -134.1564394, -137.7138026, 
##     -107.6812366, -122.7215521, -130.4192127, -66.82145859, -74.01947365, 
##     -81.16492889, -119.6480073, -97.13092054, -113.1083678, -118.9095275, 
##     -133.2855202, -75.42424748, -127.4840434, -131.3231654, -138.9850922, 
##     -131.5613936, -135.2127381, -118.9095275, -113.0285664, -123.0416272, 
##     -146.496366, -126.2728805, -102.844497, -52.87254873, -66.72813369, 
##     -44.89485735, -64.95332111, -82.85729469, -97.99235766, -103.8314543, 
##     -117.280648, -122.466002, -133.1364684, -110.9932321, -135.2, 
##     -144.2731377, -136.7489294, -144.6441332, -145.0511279, -130.5254709, 
##     -146.7714718, -116.5904541, -99.05260722, -8.554004511, -6.229756883, 
##     -56.48668793, -103.6747853, -13.77962246, 114.9161562, -105.5990372, 
##     -8.920534355, -123.2567858, -44.80671448, -38.12120691, -67.83143938, 
##     -98.38864016, -126.7911458, 5.145715536, -38.41441992, -128.8776603, 
##     -99.60473761, 0, -134.0843126, -133.0402598, -113.7070502, 
##     -97.63319418, -70.05763163, -67.23153665, -87.89250703, -75.54041582, 
##     -96.52836748, -111.9162886, -70.73692185, -66.1067893, -84.38438238, 
##     -91.22972438, -113.3088627, -102.2246924, -81.39618212, -102.0414154, 
##     -123.0031302, -121.5116635, -101.2197011, -117.8071737, -112.7707553, 
##     -100.4361727, -102.7329258, -98.9, -95.86001697, -108.1852842, 
##     -114.4994245, -125.9517218, -134.4395339, 93.55223636, 92.23070683, 
##     90.74062093, 89.92413299, 101.8485804, 104.5627694, 97.48604781, 
##     94.29219733, 92.01796087, 91.25098159, 91.22806755, 94.85128915, 
##     114.2472538, 99.36372672, 93.74762596, 92.24771687, 92.81812711, 
##     76.67636993, 74.26430735, 69.94809787, 77.84200906, 76.54738301, 
##     68.03195571, 65.75332222, 66.12778263, 61.70861176, 56.81039305, 
##     58.27254272, 59.12467413, 59.64708994, 66.77602232, 57.72020225, 
##     54.85948621, 49.5731708, 49.42816247, 49.55469157, 59.54506281, 
##     62.81147788, 67.43080756, 66.12906223, 57.87760609, 53.51265697, 
##     47.44894965, 48.41132542, 54.7607505, 51.09828759, 54.65827884, 
##     52.7134472, 53.2, 52.31436736, 50.53684563, 52.70217052, 
##     52.04861516, 51.86038732, 54.440816, 56.25864547, 54.1435494, 
##     52.75010325, 54.0949477, 54.09564585, 54.77433982, 54.77433982, 
##     54.07321436, 52.13055324, 52.27276729, 53.57693142, 53.84012444, 
##     54.03960004, 53.12184378, 52.55857737, 51.96760125, 52.86367135, 
##     54.24262122, 55.50254867, 49.11599107, 53.20429294, 52.69197023, 
##     49.9223833, 52.51819123, 49.50229813, 53.42286863, 52.81370188, 
##     52.1254521, 52.96824697, 51.39285405, 51.53360053, 53.51160322, 
##     53.3237666, 52.53617242, 47.81109441, 49.75279881, 52.52727525, 
##     52.8782379, 51.32736586, 55.51357153, 51.61496065, 55.64308585, 
##     54.21573322, 54.3473572, 54.64790172, 55.54698682, 50.94323599, 
##     50.32745776, 52.41984343, 58.88959292, 56.73260289, 51.12130858, 
##     49.83239498, 51.02181051, 52.57937486, 54.27018627, 57.27430572, 
##     58.58313656, 52.96824697, 54.14998295, 54.96450932, 53.81499256, 
##     55.07146864, 55.91598346, 57.69569542, 51.57107601, 50.13254755, 
##     44.16831535, 49.42952086, 54.6, 56.44170854, 54.59547936, 
##     51.81645162, 53.34923279, 53.44831239, 53.90416071, 51.09452619, 
##     50.08746921, 53.72664674, 54.8862744, 55.05549349, 56.0068826, 
##     55.62638272, 55.17968786, 52.47767108, 52.02006995, 59.35581089, 
##     54.39086413, 54.31539339, 51.25631321, 47.54381906, 42.53790343, 
##     49.34253937, 52.92179013, 51.34872163, 46.5494463, 40.7, 
##     40.16961672, 42.36384353, 49.81914013, 54.61284762, 53.5280469, 
##     54.30784627, 57.97139148, 48.22310816, 46.37830932, 42.48142431, 
##     45.98963334, 50.72616593, 51.86038732, 49.98787791, 51.88281307, 
##     52.69197023, 54.02667086, 58.5804169, 55.34312953, 55.48211176, 
##     52.40903229, 52.29093855, 57.57170539, 58.61302811, 53.2, 
##     49.29078481, 57.65546849, 62.70155988, 58.7987716, 54.10922349, 
##     54.09646615, 48.4527279, 47.61537426, 53.04589747, 56.35793095, 
##     52.68077195, 42.1075454, 43.34083781, 42.32574461, 43.20825274, 
##     42.56705989, 53.40307477, 50.87747582, 52.00178871, 52.00667863, 
##     52.00816, 47.89903981, 48.04677302, 45.5070339, 46.16468057, 
##     55, 51.15785323, 51.19194025, 53.62154506, 58.99127286, 60.91627694, 
##     60.14341938, 51.57718197, 48.40792002, 48.77250545, 53.12762952, 
##     55.18245266, 55.37205029, 57.39332794, 57.80857433, 56.80856128, 
##     58.29076783, 59.26567652, 57.13301846, 53.71034231, 52.97588234, 
##     51.48356404, 47.44894965, 54.10569485, 57.62389747, 61, 67.12135994, 
##     54.16001628, 42.28559771, 37.62848651, 66.21704814, 52.39308392, 
##     46.99734594, 39.91863652, 38.27628664, 43.94214773, 49.52606294, 
##     46.50686877, 44.0021541, 46.0239919, 49.59210578, 51.19933493, 
##     57.00940584, 60.22495704, 60.94109702, 57.19706362, 53.47094227, 
##     54.61047991, 55.8867307, 56.89025517, 56.2, 54.96147149, 
##     57.2061605, 57.34529191, 60.07775837, 60.52005662, 61.12770583, 
##     58.4465241, 56.83929606, 57.18806852, 61.75287836, 52.17005149, 
##     48.27384129, 57.54750049, 52.16371123, 45.4781289, 33.8240733, 
##     55.51501168, 60.08787211, 53.44493666, 45.52556726, 49.12882625, 
##     57.67963326, 58.84738402, 55.11941432, 56.4384278, 56.62411936, 
##     55.36344823, 56.26253862, 57.51459169, 59.02173575, 58.27310488, 
##     56.12359321, 58.07273344, 59.41857437, 60.26202391, 59.54174441, 
##     60.04427336, 59.01759236, 57.16026694, 57.18646797, 57.14561977, 
##     55.95929358, 53.25862349, 59.05448168, 65.38670503, 37.25716785, 
##     39.57224631, 45.30807881, 48.0744459, 52.72355661, 49.11788491, 
##     53.2758072, 53.68329583, 54.03196693, 50.28100558, 47.92971684, 
##     51.88753705, 41.12142998, 43.33438286, 44.79861903, 44.70907234, 
##     46.79463862, 58.42494481, 57.21003146, 50.24319538, 52.7134472, 
##     61.6, 57.24937789, 53.35216663, 54.12449453, 51.42678198, 
##     51.49158058, 54.81235685, 55.98297703, 58.36104453, 60.19704352, 
##     60.23005491, 57.54702104, 53.79403739, 55.06168289, 57.37530224, 
##     48.97563037, 45.24887471, 49.94975319, 66.21704814, 45.08697113, 
##     40.0032235, 25.87876775, 43.97407999, 58.20883866, 53.72000975, 
##     46.16088475, 35.67963097, 44.88030166, 57.24512835, 57.9858083, 
##     56.29767747, 61.11331911, 63.54447079, 64.67578954, 61.37210792, 
##     58.74094828, 56.43349157, 54.50686591, 60.29529781, 58.79713413, 
##     57.26509584, 56.35802477, 57.45117011, 44.99968765, 47.58491151, 
##     56.15504158, 60.11970075, 57.26191429, 55.8, 57.04323498, 
##     58.26982249, 67.45858551, 59.68804482, 51.01894986, 49.87630387, 
##     41.17703414, 32.39650221, 34.76586257, 40.31583476, 60.07977716, 
##     58.98276226, 56.82818155, 48.34677865, 45.82846212, 42.86069196, 
##     51.59312159, 60.14841999, 61.33525396, 59.99785063, 51.04349043, 
##     51.81500396, 59.4, 60.84081924, 58.16376075, 54.48805295, 
##     52.45702015, 53.59597165, 56.76303987, 59.77619944, 58.37199038, 
##     58.36678751, 57.49936167, 61.0815703, 60.27325775, 50.97531531, 
##     60.2855816, 53.01254085, 51.14110182, 52.29892965, 55.308632, 
##     60.52553553, 49.2879658, 37.31593388, 40.7973591, 58.31655296, 
##     59.27514636, 57.85118424, 62.34224339, 58.33903307, 56.58604656, 
##     43.93306556, 43.24565132, 52.650981, 61.24852517, 59.33489148, 
##     53.95314648, 58.58478242, 56.98019263, 61.74005258, 55.91463182, 
##     54.7506088, 55.93303191, 52.57648583, 59.8013797, 56.70496665, 
##     56.45258149, 54.64803331, 58.19059923, 58.88794327, 61.53428978, 
##     58.9, 56.79823548, 56.35381492, 54.26671718, 60.36522064, 
##     65.33183327, 53.40786767, 53.52877377, 56.92154614, 55.84083205, 
##     47.26139534, 49.80012945, 50.11089083, 53.05092805, 50.76442226, 
##     47.31799689, 46.43040728, 43.94030601, 55.68770435, 58.65915042, 
##     54.29940172, 49.07429858, 47.56888951, 51.00572799, 51.38992469, 
##     49.48779922, 49.78464283, 53.7, 50.91262971, 50.53249377, 
##     47.78933077, 49.64784762, 50.66635388, 48.25955093, 50.57134735, 
##     50.27895476, 48.34470016, 50.39258411, 49.31956569, 50.49412352, 
##     49.38372801, 51.51845072, 50.83939866, 51.54616036, 50.29061004, 
##     50.74475539, 52.00245216, 51.3084502, 49.50290719, 50.92186426, 
##     50.49412352, 50.84923283, 50.8792936, 51.44906841, 53.59075983, 
##     51.45865233, 50.63828601, 52.37424363, 48.48135931, 52.00245216, 
##     55.31610913, 52.71268481, 47.53942597, 52.82089548, 53.62473237, 
##     52.89203122, 52.06974453, 60.92376113, 68.45074597, 73.61789901, 
##     72.56066581, 73.41699434, 77.19534632, 78.65732734, 80.43066012, 
##     81.82000433, 80.42915966, 78.61984463, 75.851893, 73.9384463, 
##     72.87591367, 75.08067614, 71.10883465, 98.76999045, 96.18886062, 
##     64.51484357, 60.6, 76.19932998, 79.15542518, 83.95805054, 
##     81.1510574, 82.23703485, 84.65891699, 82.56193518, 82.4332072, 
##     81.89204813, 82.00545529, 81.23535391, 80.45679226, 78.90301566, 
##     78.48328623, 78.23590121, 80.56033948, 84.22598859, 90.03822177, 
##     92.08219054, 93.63556589, 89.80254108, 88.75647711, 67.19322938, 
##     63.46231064, 68.71746873, 70.35675225, 69.72059405, 72.97890104, 
##     73.50334162, 68.64285211, 61.13514402, 56.35907493, 41.72057928, 
##     39.2, 54.43482002, 55.08903351, 52.63309757, 55.39518482, 
##     54.04195003, 52.85352832, 54.49459186, 55.11462156, 53.86341656, 
##     54.33090096, 54.50517004, 55.0400051, 55.50843001, 53.67600496, 
##     54.59971761, 54.31715147, 55.81672596, 54.63372249, 53.78262371, 
##     54.39116148, 55.12097412, 55.7, 54.29470311, 53.34136378, 
##     52.90765756, 54.92423731, 53.31718279, 52.73888244, 53.26488168, 
##     53.54603011, 53.11895381, 92.78010868, 102.3175321, 108.4366648, 
##     106.1307993, 109.6428572, 112.7674809, 112.7741965, 109.3834525, 
##     109.265649, 112.6154425, 111.7752145, 110.7295216, 111.8553663, 
##     113.8552288, 114.6276412, 115.3957257, 114.5087302, 113.1711895, 
##     109.2821581, 107.6559495, 106.0270467, 100.8473242, 98.73575401, 
##     86.30647393, 90.39850191, 98.89047266, 87.12643621, 71.56177607, 
##     64.03617868, 65.11645787, 51.8, 116.4037633, 115.7216316, 
##     115.9791429, 118.3326933, 120.3944725, 119.0589292, 119.2427963, 
##     120.1055222, 119.1033312, 118.4346286, 117.0109296, 115.4822763, 
##     118.8691662, 116.2233244, 114.0244875, 113.0234191, 110.9792159, 
##     107.7631153, 106.9473405, 103.8567366, 103.4645412, 103.0174748, 
##     33.56543198, 35.85795659, 40.41944484, 40.88994337, 43.42771635, 
##     41.19255184, 36.7371237, 37.91951916, 46.06351743, 43.91791972, 
##     42.37742095, 39.9560803, 39.29479704, 42.47141028, 46.57632636, 
##     46.13439829, 46.49805216, 46.72764892, 45.48118595, 44.88848575, 
##     46.02243524, 44.90196263, 43.90347891, 44.17030649, 44.20477226, 
##     44.15424324, 44.3, 42.46603404, 48.09458298, 49.71048265, 
##     48.91993155, 46.6540067, 49.81077725, 52.15809235, 53.77894231, 
##     58.7528508, 44.84010543, 26.85462411, 32.26907922, 36.99081442, 
##     46.2264958, 52.62563942, 53.43001477, 54.68064626, 57.66209812, 
##     54.87132379, 51.16305702, 49.86628428, 44.76122653, 58.44300733, 
##     58.39994979, 50.52519174, 43.1595985, 37.95094616, 49.64077882, 
##     47.61632121, 38.64027114, 36.71524933, 38.32509511, 41.66952983, 
##     40.82758906, 47.30023112, 53.59988937, 35.84794494, 28.52683224, 
##     27.93694874, 30.91560989, 53.32754052, 53.23363881, 40.50416012, 
##     40.54078142, 46.75052424, 53.44934592, 45.01126033, 43.71463592, 
##     45.37220626, 48.76957616, 48.68545242, 47.94332056, 41.2352991, 
##     49.20457457, 47.05510234, 50.52519174, 47.21202611, 51.70190104, 
##     45.56578818, 50.96027963, 49.16814985, 43.88358144, 33.20909128, 
##     46.21285118, 50.14385033, 53.06553617, 45.17600392, 45.50895813, 
##     44.36777254, 43.50665647, 42.50803249, 40.72463323, 49.0288993, 
##     51.16957615, 47.48850743, 47.80954942, 48.31866938, 43.62995314, 
##     46.59827203, 44.72824885, 45.89811172, 49.97349035, 50.04191831, 
##     54.61423321, 52.94379237, 46.53932297, 46.86678492, 50.89312156, 
##     53.22099547, 44.85966856, 49.50551074, 48.59629641, 54.10733232, 
##     58.09415364, 53.91189953, 48.45442421, 47.54575294, 47.3440618, 
##     51.77584304, 55.34596741, 59.00392273, 61.98329751, 61.59078405, 
##     54.71156398, 51.56910168, 50.64939573, 48.75533895, 45.67119946, 
##     49.44145934, 56.50149273, 58.20140184, 52.14532418, 41.88543373, 
##     41.5, 53.08835991, 54.78065897, 49.39468579, 50.08342636, 
##     51.2861723, 60.14249908, 60.87129826, 54.80291358, 58.09415364, 
##     51.15343965, 56.44027825, 57.59097529, 57.20582999, 58.48532974, 
##     58.37249498, 57.60840269, 54.4969487, 57.07780393, 56.87305618, 
##     56.19676776, 55.26001798, 56.57949168, 55.72054335, 54.6, 
##     53.64064949, 55.12779086, 52.93603038, 54.18712846, 53.42436287, 
##     53.08685264, 52.71767383, 52.93603038, 50.47879987, 50.47879987, 
##     50.54487484, 51.39929134, 50.82374561, 53.2378681, 51.07917474, 
##     49.71900624, 44.78351384, 43.65553911, 50.80831139, 49.14040131, 
##     52.36768557, 45.1114267, 40.59567002, 52.45704038, 49.4666026, 
##     44.28270365, 40.83415023, 49.64108805, 47.58578507, 50.96090846, 
##     48.50497869, 53.76419162, 52.69165886, 47.32430432, 46.27644673, 
##     41.45266993, 47.48736658, 49.47197186, 52.75831602, 50.32745776, 
##     44.41938976, 44.78932219, 47.51716708, 49.23701228, 47.21723791, 
##     47.89291491, 45.3, 48.34148514, 53.90988987, 49.81911701, 
##     52.04524986, 54.18712846, 52.87989116, 50.43286867, 52.22406445, 
##     49.84628051, 48.42015773, 52.53973804, 51.40495938, 49.01916565, 
##     47.91069762, 49.07663338, 51.16957615, 51.11053519, 49.75748263, 
##     51.22264366, 47.73861383, 47.02185992, 45.28311239, 46.41882776, 
##     48.40414723, 49.28526017, 53.45538824, 45.38088186, 51.16194476, 
##     48.57024822, 48.39649546, 47.34917485, 40.20708892, 40.98359906, 
##     44.77549895, 46.36376907, 45.27784718, 45.47976698, 48.68762396, 
##     49.43777691, 44.53372964, 38.26238752, 31.95184786, 36.13068768, 
##     41.36761797, 56.17784762, 58.20550701, 46.97090938, 42.43750958, 
##     43.64144206, 39.44455749, 38.39986565, 43.45538129, 32.77476502, 
##     50.58001966, 58.55361231, 62.22077884, 61.40050309, 55.84659594, 
##     53.5398162, 48.05569093, 46.20119011, 49.0808456, 51.29461872, 
##     52.87177719, 55.09988, 52.35783208, 51.70487832, 49.03563883, 
##     52.22734185, 48.5744804, 47.81474621, 51.43207629, 52.18029328, 
##     50.84060556, 47.1598469, 46.5524546, 53.48703695, 46.52668175, 
##     49.01248309, 49.45304706, 51.72570987, 51.10991556, 52.22654314, 
##     49.2890177, 50.40644172, 49.36718516, 47.58686545, 52.07828497, 
##     53.44899132, 48.24130587, 44.5558082, 46.44373739, 45.80646875, 
##     40.03146785, 36.87465359, 50.84386417, 44.89403358, 47.4, 
##     46.04311595, 46.31417801, 47.04808837, 45.51532693, 49.66168061, 
##     48.84517799, 46.27969611, 44.93505044, 45.32110903, 43.71936525, 
##     46.26983535, 41.36114099, 38.88008757, 41.51447172, 45.06011815, 
##     47.86171679, 45.32110903, 43.67136783, 41.80896331, 39.48510249, 
##     38.87924376, 54.08922523, 58.95717731, 63.06824263, 64.24139567, 
##     58.13333578, 51.77452534, 50.28135231, 54.65737387, 54.61006091, 
##     54.79175949, 55.31410609, 56.39426414, 56.37077461, 58.26904936, 
##     58.76080916, 64.62454111, 63.3991181, 59.92808974, 56.78257003, 
##     57.09516852, 62.49756011, 61.41095734, 58.25377109, 58.45588027, 
##     59.89521137, 60.73381765, 59, 59.89521137, 52.07535184, 52.23637237, 
##     53.29375419, 54.09443957, 55.78744624, 54.3619995, 53.30529163, 
##     53.21224635, 54.51614011, 49.73768039, 46.57715563, 37.99087295, 
##     38.45434551, 39.71165615, 38.48349032, 39.63332138, 44.34169627, 
##     44.98945994, 41.51447172, 47.32814869, 47.44198846, 44.84156374, 
##     42.27096765, 51.34990974, 46.93737483, 45.08593032, 44.06850431, 
##     43.99294817, 45.47976698, 48.39757418, 46.44084676, 43.17680861, 
##     44.76003922, 51.8171819, 46.8574444, 48.49910505, 47.66941109, 
##     44.61656253, 46.11051025, 49.49232497, 52.61428746, 51.00386791, 
##     47.8343247, 46.14283468, 49.42074539, 51.76571919, 41.60367418, 
##     46.9, 45.35248685, 42.64765701, 44.10544962, 45.79040295, 
##     45.54627404, 47.96632331, 49.52147371, 46.04774462, 48.33440028, 
##     45.69133147, 48.14563051, 49.11605414, 45.41859001, 46.25091756, 
##     49.41857295, 48.76957616, 42.02274974, 47.7606005, 59.06563093, 
##     57.37704371, 46.4661142, 20.2495759, 16.84024239, 63.81758541, 
##     41.21539018, 49.56555977, 49.82704044, 44.56793942, 39.13576327, 
##     37.80519007, 34.00256717, 50.30481824, 52.42379334, 48.40573923, 
##     47.60972071, 47.68208389, 44.50399467, 43.15019902, 45.5253684, 
##     48.80772231, 48.48653369, 50.61986486, 46.95956347, 45.5, 
##     45.5055313, 44.18395567, 44.26451587, 44.10222127, 43.8692505, 
##     41.46359309, 49.43914298, 49.5305463, 47.23054282, 46.90195739, 
##     47.0835563, 46.98262354, 48.50462944, 47.7376379, 47.82330069, 
##     46.73694472, 47.48072707, 46.54912737, 44.83296244, 43.06286723, 
##     42.71367042, 48.98097578, 56.64648392, 48.33267252, 42.53939052, 
##     45.73517062, 46.21967015, 45.70538574, 49.97195357, 49.47976777, 
##     51.29045867, 45.89757412, 47.88279984, 45.82555453, 52.58379489, 
##     43.54464588, 41.08875106, 51.87564143, 52.7, 49.61891585, 
##     48.52230162, 46.26983535, 46.10121516, 42.16941239, 38.90921726, 
##     39.9540273, 35.91132195, 47.11066551, 42.42974944, 50.61017525, 
##     43.50181248, 40.5126345, 44.86607103, 47.26934552, 44.5881888, 
##     49.3869938, 52.70762735, 59.18258654, 58.42523876, 56.31980746, 
##     49.45139408, 49.99233377, 50.52380144, 48.05919921, 54.6, 
##     48.59024056, 51.13593475, 47.13130915, 51.72382897, 59.51371409, 
##     60.8910468, 52.76990921, 49.27035315, 47.6485938, 51.95094593, 
##     52.04747442, 53.11778734, 53.61485324, 45.71396759, 54.51614011, 
##     56.39141273, 54.01644565, 51.18490437, 57.00351088, 56.11967444, 
##     55.13190877, 43.71782446, 46.00458207, 42.18793209, 31.02981099, 
##     67.66170821, 57.67865752, 42.58507985, 57.57710683, 51.56595792, 
##     49.59420834, 41.15248617, 30.49263299, 46.19019585, 45.95177482, 
##     38.28750501, 43.76274195, 49.04556215, 50.97812501, 48.8675188, 
##     46.90156875, 43.38444551, 38.63799179, 44.84156374, 43.98279064, 
##     42.31621013, 51.81120531, 47.93100767, 36.98523064, 37.82507716, 
##     39.77864434, 35.68849368, 38.11106367, 40.86064673, 40.531569, 
##     47.90233287, 47.65852865, 41.39754318, 40.98760307, 40.31273375, 
##     40.14017238, 40.75980844, 29.22474398, 40.72043778, 47.48047481, 
##     46.07754122, 47.64613787, 45.96469373, 43.98279064, 44.71401416, 
##     44.9, 43.6634179, 40.50556689, 39.90187295, 39.00774344, 
##     44.85079372, 48.86767172, 48.58559395, 47.66994659, 47.8998213, 
##     49.85128217, 52.13263434, 52.50532299, 45.19907486, 50.89417661, 
##     47.67847402, 46.75640929, 50.6, 52.25816326, 50.94478068, 
##     54.71623736, 57.86046554, 59.71012282, 51.15962554, 48.8404602, 
##     43.05493682, 48.87376952, 41.47772787, 49.06442464, 47.51481361, 
##     47.44198846, 46.53738271, 45.77280335, 44.92289294, 44.85552132, 
##     46.28007853, 47.07784358, 48.13593522, 48.40275018, 45.89212085, 
##     45.26492296, 44.4922936, 44.90486815, 45.52450426, 45.48424938, 
##     42.19425615, 43.80677128, 97.41000901, 99.38260314, 113.4676014, 
##     114.0860641, 74.86732745, 66.89450249, 62.29241565, 58.99114118, 
##     51.49356225, 40.29546297, 43.13947793, 34.16291278, 25.50554736, 
##     28.80023702, 28.75876519, 30.78539591, 32.62033849, 33.52768695, 
##     32.63441857, 31.69248061, 33.83243879, 34.98276164, 36.22380429, 
##     41.08592555, 42.98549591, 44.58995971, 41.31699279, 39.47401924, 
##     43.76274195, 43.78564991, 42.4246437, 38.34025732, 46.26983535, 
##     48.2171277, 48.5034328, 57.68513368, 78.83977556, 90.01842496, 
##     92.20314773, 108.0906191, 103.7755972, 101.2070797, 101.3684406, 
##     112.1659634, 112.9276843, 49.30859681, 47.67407748, 51.71541951, 
##     51.37731372, 49.73645227, 52.24141764, 44.65702191, 45.45272471, 
##     49.53798843, 50.69444254, 45.82276079, 49.91533888, 53.37242179, 
##     50.14049371, 51.20094646, 50.68019079, 47.94332056, 42.26376016, 
##     42.7, -89.58173021, -54.10755749, -96.16639842, -116.6899661, 
##     -107.614134, -95.98625415, -79.44324334, -87.11101992, -104.2832621, 
##     -106.6081371, -116.0373747, -106.2675111, -95.69216759, -110.1437878, 
##     -103.7647213, -84.30726689, -91.86870002, -101.7, -105.7739018, 
##     -106.4168272, -106.9969365, -110.697576, -110.6659051, -108.9535743, 
##     -107.3812685, -105.3308586, -106.7982804, -110.081794, -108.39267, 
##     -101.3932642, -107.7679484, -102.298955, -103.6965929, -111.0817149, 
##     -107.5908884, -109.6284972, -109.6007408, -109.7514009, -104.7361246, 
##     -111.1682794, -104.1895833, -109.133099, -112.9, -111.7625536, 
##     -110.3122846, -106.030157, -107.9174932, -102.7496498, -109.0699614, 
##     -110.6772722, -110.3122846, -114.7443912, -113.383021, -106.7263354, 
##     -110.9896266, -110.1495634, -103.8887197, -97.48912955, -96.00620398, 
##     -108.2551885, -113.0504396, -110.7764766, -101.2, -99.57240371, 
##     -98.42507774, -98.93807337, -101.698061, -103.1157409, -99.71215834, 
##     -100.7124928, -100.7592795, -108.5536172, -103.907151, -100.3862071, 
##     -105.5101404, -105.7483129, -109.199581, -113.6974914, -108.90757, 
##     -107.0137102, -99.06039194, -99.19119149, -104.244444, -107.0137102, 
##     -108.7196998, -106.4554648, -106.4554648, -109.8478761, -105.7601924, 
##     -106.3589164, -104.61205, -108.2711174, -102.9, -99.28855636, 
##     -106.1056648, -103.732251, -102.4398924, -105.9559441, -105.8114985, 
##     -106.7873004, -108.8655416, -109.9196301, -108.90757, -105.6200222, 
##     -97.21969434, -113.3779487, -101.6321899, -109.088757, -111.5034428, 
##     -106.4615542, -96.72911385, -88.05097755, -96.36185362, -74.47871273, 
##     -90.80640208, -95.74920442, -101.3642045, -101.789856, -111.5034428, 
##     -119.0236888, -119.6341204, -116.3938501, -114.4989069, -116.9993427, 
##     -113.2611252, -99.33199732, -100.0904802, -99.98265174, -104.4252577, 
##     -95.01902279, -95.52099374, -91.27000022, -90.25963537, -81.15255832, 
##     -79.47758063, -106.7872211, -111.1840893, -107.8755992, -103.2115931, 
##     -104.4283423, -107.5, -101.2410485, -108.4501109, -112.186484, 
##     -102.1580499, -106.0839425, -105.3346222, -103.307065, -100.6544007, 
##     -108.5175817, -107.5650789, -104.9433621, -110.0235653, -110.4146706, 
##     -107.0015113, -104.61205, -103.8493123, -101.1028014, -109.3006934, 
##     -107.0015113, -109.9568327, -117.3, -117.570986, -102.9285799, 
##     -103.2012077, -96.05956209, -94.15173469, -99.01806351, -103.907151, 
##     -105.8084005, -101.3668319, -99.62821618, -105.3258135, -102.7776364, 
##     -105.5800791, -90.87925306, -106.7303384, -99.40749609, -107.2447142, 
##     -105.2661598, -100.8655308, -106.0108164, -106.9009977, -107.0128602, 
##     -106.5669304, -94.3910502, -100.3082929, -108.9849476, -108.4, 
##     -104.9203641, -105.3324288, -108.2335098, -107.314862, -107.4468899, 
##     -112.2440382, -110.5601635, -111.8481971, -109.1633588, -111.2037265, 
##     -108.7538351, -108.8617276, -109.7438865, -104.9932812, -112.1088055, 
##     -104.1682001, -109.8727829, -106.9739851, -111.8599972, -100.6784172, 
##     -104.913091, -104.5905016, -104.5515099, -112.5505077, -111.8944816, 
##     -93.18751161, -99.17206817, -110.012459, -102.7259665, -102.0187491, 
##     -104.3722486, -97.95919244, -100.7592795, -108.687943, -105.4535162, 
##     -101.3611881, -103.2630209, -109.8478761, -107.2072987, -107.314862, 
##     -101.5573796, -109.9258572, -111.0947456, -107.0374606, -106.2520981, 
##     -111.2037265, -110.4843986, -106.030157, -102.008848, -107.2525922, 
##     -112.1307939, -107.6504433, -103, -104.8304294, -109.5406973, 
##     -112.7446852, -113.2761525, -111.4861988, -109.7270218, -107.2072987, 
##     -100.2008007, -96.87234065, -105.1629497, -107.7996015, -98.30341088, 
##     -104.2336933, -116.5494006, -104.5399462, -112.2538819, -112.3838779, 
##     -99.92338867, -93.50469203, -105.7483129, -105.9088254, -108.8, 
##     -111.0210169, -114.356885, -101.756002, -99.18793905, -109.7735068, 
##     -100.1261527, -105.6059718, -109.8782495, -114.9435042, -108.3577675, 
##     -111.5236847, -106.9296677, -101.4419331, -109.0376181, -107.5728166, 
##     -100.6940541, -111.6980676, -103.1798245, -100.3655472, -107.7825364, 
##     -109.7735033, -105.3432001, -110.8524808, -109.1318534, -102.3743817, 
##     -107.7833206, -111.8798341, -108.687943, -103.2980928, -109.5726991, 
##     -109.9258572, -108.9599548, -106.2173087, -105.7385911, -107.6063429, 
##     -108.687943, -109.4011878, -108.9846405, -110.5488863, -110.8683445, 
##     -106.7884173, -104.6839911, -106.8756757, -107.6, -107.2025238, 
##     -103.2012077, -108.1309011, -104.2832621, -104.1027162, -112.9485492, 
##     -105.9289523, -112.1342733, -108.1324654, -111.4617763, -111.0726592, 
##     -108.5279266, -106.8300942, -105.6742954, -112.7885283, -105.9866171, 
##     -115.6388129, -117.1699919, -106.4867644, -99.79302314, -97.31758653, 
##     -107.2583816, -108.3414826, -110.9477714, -98.52579467, -100.8874765, 
##     -111.8481971, -116.7284071, -117.7821375, -112.7288354, -111.273943, 
##     -109.5613404, -101.8668411, -102.6361959, -108.5175817, -109.5496145, 
##     -98.85799579, -94.8528257, -112.3041291, -111.6065729, -111.7275274, 
##     -104, -107.9949294, -106.7271324, -102.553424, -100.3973338, 
##     -100.3973338, -109.8179719, -110.2084573, -109.8713122, -112.7775548, 
##     -105.8114985, -108.9106913, -112.8864006, -118.0299078, -116.0956432, 
##     -108.3603338, -106.4235202, -113.5011285, -113.3152926, -116.8232463, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.5, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -100.8433088, 
##     -109.1270856, -104.2899579, -97.62359126, -105.1391453, -108.9813252, 
##     -106.030157, -106.6294841, -105.9179624, -107.1830289, -112.6134614, 
##     -110.7950087, -112.186484, -107.0720922, -106.3162221, -105.5815364, 
##     -105.8114985, -110.0841253, -106.6066008, -111.5535193, -111.1478904, 
##     -104.6439119, -102.7153934, -104.5, -104.1897596, -94.97156336, 
##     -105.9972164, -111.5034428, -106.4181849, -117.7284076, -112.4261179, 
##     -109.9773538, -107.3944026, -106.2520981, -112.4024084, -93.03841553, 
##     -117.7196055, -112.9793738, -117.472968, -116.794234, -111.9152869, 
##     -109.6, -114.0895899, -109.5069555, -104.7495923, -107.3239179, 
##     -114.8092616, -116.3742312, -111.1682794, -95.20629361, -97.61153161, 
##     -98.73482597, -103.4616853, -104.6634416, -101.8688122, -109.1753452, 
##     -102.6353807, -105.0368534, -95.05468408, -102.9877347, -100.9199214, 
##     -109.704463, -109.4936719, -99.79302314, -101.2, -100.544708, 
##     -109.9467345, -111.1878994, -106.0258072, -110.3164271, -106.3465725, 
##     -100.4163314, -94.95006428, -105.8124074, -104.5168226, -107.1084235, 
##     -107.3608687, -106.5065328, -100.126729, -95.34943036, -88.77358002, 
##     -98.79540197, -117.3795204, -110.028726, -110.7029719, -107.3709807, 
##     -105.7751629, -106.4168272, -107.6854958, -109.8307208, -113, 
##     56.09063322, 61.69790032, 47.87446984, 57.14814234, 51.28816072, 
##     52.89818893, 53.26488168, 50.99109951, 53.62473237, 56.32499189, 
##     53.24469189, 53.63169721, 53.29877501, 54.89766063, 54.1428949, 
##     55.0124847, 55.3258141, 55.46797251, 55.11341549, 54.56104175, 
##     54.63372249, 65.75803275, 72.09360883, 67.56590656, 51.22626748, 
##     47.43635406, 64.44805989, 76.15670554, 73.32118151, 60.60211001, 
##     53.87952438, 59.40964594, 55.11341549, 53.83629111, 81.28912285, 
##     79.79619683, 87.39338009, 84.96179862, 90.29510696, 77.63843189, 
##     78.66625079, 42.06686175, 48.45603124, 48.01492531, 52.27369753, 
##     59.14425399, 37.4086584, 52.7086093, 53.85706928, 50.65538212, 
##     51.00454884, 51.22981707, 45.02609364, 53.08810735, 54.68184146, 
##     53.65997722, 52.64461819, 52.3562479, 52.96494196, 53.33856578, 
##     56, -32.11014841, -24.92643378, -40.48917863, -62.12911315, 
##     -52.13580776, -49.76186734, -67.23153665, -65.80722924, -68.8009342, 
##     -31.96872591, -41.67824656, -30.12151924, -47.52989888, -9.682486775, 
##     -57.69313452, -35.42041058, -19.36583004, 53.76832531, 75.41682187, 
##     75.41682187, 75.41682187, 75.41682187, 75.41682187, 75.41682187, 
##     75.41682187, 75.41682187, 78.5194165, 78.5194165, 83.12603682, 
##     83.29812667, 84.88745129, 84.88745129, 87.84121373, 87.23065277, 
##     88.86089076, 74.67514957, 80.36160601, 58.16965592, 92.62305851, 
##     73.38193184, 3.76177422, 3.069063837, 52.18259442, 0, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5169348, -101.5169348, -101.5169348, 
##     -101.5169348, -101.5169348, -101.5, -12.69305833, 1.086592845, 
##     -10.39211669, -8.632327685, 2.085635394, 2.165148103, -4.61644394, 
##     9.24029659, 11.68149062, 1.295899352, -13.32914999, 4.366524806, 
##     -11.98953669, 2.569457699, -11.06516224, 2.295869831, 13.14701996, 
##     -14.22267717, -13.9312965, -7.406412765, -3.9, 8.20151066, 
##     5.055333313, 0, 2.484008946, 10.95044878, -2.374790076, 3.398792661, 
##     -16.86466299, -8.390135078, -8.08632182, -11.50824493, -1.128114547, 
##     12.95210858, -13.79979367, -24.53914692, -32.19275713, -6.520548288, 
##     -11.98570851, -13.12363476, -4.926248811, -5.71221566, -10.2027022, 
##     0, -4.075978228, 5.229752989, -7.740764558, -12.10402168, 
##     1.061031598, -8.104975201, -5.098415686, -9.224122983, -1.170358033, 
##     -20.77449479, -44.08748539, -26.03568503, 3.780376381, -7.573134372, 
##     17.66323257, 6.337953001, -3.704268568, -32.65111302, -25.26325248, 
##     -27.22717145, -24.95730412, -9.771640885, 26.84758569, 27.22293838, 
##     -19.63942104, -24.97623208, -19.15309089, -18.74061056, -25.24005567, 
##     -18.9538117, 4.342784156, -6.803268187, -1.16226699, -27.10640781, 
##     -22.0091285, -26.67371988, -9.336071773, -4.419777642, 30.27459516, 
##     15.6667571, 2.158203584, -25.7285848, -33.04972702, -19.4895789, 
##     -5.785215693, -11.92798197, -15.64236466, -11.55889604, -2.266346567, 
##     -7.329280775, -22.67560021, 14.65898454, -12.5, -11.15347593, 
##     -10.34555059, -14.09928387, 6.717451343, 6.331245222, 27.66301749, 
##     16.49193344, 5.351601051, 3.618399508, 0, 5.446809978, 0, 
##     -1.133318811, -15.0539105, -17.29436291, -1.284728832, 11.19509311, 
##     5.401489092, -4.662630362, -6.863538201, -114.4168834, -124.7809164, 
##     87.62588612, -40.60420019, -25.59709495, -73.8513005, -113.4737329, 
##     -86.0459849, -76.57852911, -74.98231319, -66.10431689, -78.23306595, 
##     -86.63971407, -106.6213478, -108.1568156, -129.9634934, -123.8433071, 
##     -134.3044089, -123.8736859, -109.2568095, -125.8836028, -136.5717417, 
##     -131.0503741, -92.7295218, -116.1318006, -130.5254709, -113.673381, 
##     -100.6427014, -95.24096849, -91.207191, -99.87577385, -76.04471916, 
##     -72.3597087, -65.50938311, -97.47938876, -93.34623485, -110.6130127, 
##     -115.2340135, -138.15081, -117.1595008, -112.0135001, -104.2730274, 
##     -116.1210505, -95.28054244, -124.8170753, -131.979364, -144.6441332, 
##     -149.4232428, -152.4245232, -149.734602, -148.77698, -133.2855202, 
##     95.01409787, 93.83081845, 96.91036865, 107.2973994, 103.4843699, 
##     95.82415885, 98.31371318, 104.7332899, 97.73833111, 95.96250245, 
##     92.36894371, 111.3389268, 115.6539668, 122.4331591, 113.5795327, 
##     118.9465403, 125.3297789, 127.6547602, 127.5178074, 101.6488831, 
##     121.6090675, 124.2250851, 123.0662547, 125.3232973, 116.4012181, 
##     119.0504674, 125.7545175, 93.86916829, 102.8617961, 107.4056311, 
##     107.4056311, 105.5670809, 117.1298087, 76.36701835, 100.6316705, 
##     82.59832557, 59.24604806, 68.33110437, 83.84232064, 86.96040863, 
##     81.43117983, 74.92842973, 87.14407276, 85.83373745, 87.14407276, 
##     86.10615132, 70.58075383, 88.90054019, 92.50146305, 94.21692709, 
##     98.90997676, 93.74534512, 76.74660326, 95.41875044, 102.0302837, 
##     99.9543592, 118.3479726, 111.481211, 116.6610059, 118.2910598, 
##     129.5203878, 111.6582954, 97.64543658, 78.53981634, 120.3097316, 
##     117.4733011, 103.5271425, 105.7956887, 102.1469432, 117.154938, 
##     118.5626103, 94.95006428, 73.03419186, 67.36595972, 57.01806502, 
##     122.466002, 118.554255, 132.3433382, 137.3348771, 110.65321, 
##     123.8129144, 122.1699341, 117.9585532, 133.2607583, 132.9632871, 
##     92.24461104, 96.81076951, 108.4831396, 95.50714567, 90.10991366, 
##     103.8493123, 111.7484562, 115.4814777, 123.2918139, 116.0475432, 
##     115.0080079, 48.08872802, 83.77815197, 76.37967599, 105.5101404, 
##     104.161372, 95.61333749, 86.65094658, 54.64480832, 42.50793259, 
##     14.18970546, -21.36205913, 55.85993153, 78.53981634, 62.90148024, 
##     32.17505544, 49.76186734, 26.06023917, 31.99145539, 57.89862068, 
##     50.50406291, 36.62869371, 33.59754482, 27.24263737, 43.39640077, 
##     52.65697294, 28.55842493, 61.91199361, 24.4, 43.12864637, 
##     17.91306093, 29.84989316, 52.65697294, 34.74514012, -21.36205913, 
##     39.35641353, 53.94417911, 38.41441992, 78.36680561, 51.49809631, 
##     51.49809631, 40.93519194, 19.64409914, 19.73955598, 19.64409914, 
##     24.41657354, 19.36583004, 31.99145539, 24.49786631, 33.7408001, 
##     21.73733646, 7.221235748, 10.49462215, -2.100304317, 2.150827795, 
##     9.184173434, -8.297168391, -3.5892771, -9.376041605, -3.502608644, 
##     -3.371212293, 3.814602061, 3.974905152, 15.62955237, 18.43257522, 
##     10.72796886, -4.314398524, -7.462425888, -7.300642577, -3.646827071, 
##     -2.809880736, 12.56904971, 3.105683348, 2.129146044, 20.52348321, 
##     11.06796249, 0, -10.8267654, -10.09555301, -0.974478063, 
##     -10.0202616, -0.970112066, 1.930618264, -3.075023347, 1.010272823, 
##     0, 17.96550242, 13.51057913, 7.387827279, -3.492388272, 4.38828047, 
##     3.341801848, 1.08974971, 6.302190554, 14.50056012, 16.36971827, 
##     22.86197132, 5.785215693, 10.1965677, 10.18922375, 5.578446092, 
##     -1.171240727, 7.099504602, -5.840603017, 6.312646024, 3.127886309, 
##     19.36583004, 2.175369963, -7.3, -11.69029487, -9.714873453, 
##     -11.40744463, -3.753649367, -3.780376381, -9.807408869, -5.797983229, 
##     -15.76157391, -7.988967102, -5.556510166, 1.963554328, 3.948864547, 
##     -7.637203921, 4.467764003, 5.21920039, -9.453306058, -11.79429325, 
##     -4.309387992, 17.82275038, 18.76308309, 12.67340253, 9.307593959, 
##     7.041308755, 9.343072865, 9.839402269, 0, 5.742325659, -2.47543209, 
##     -2.215576361, 14.7220349, 0, 12.89121945, 0.994217217, -9.365375067, 
##     -12.99644216, -6.509066391, -4.039030953, -10.90844216, -11.84333547, 
##     24.75306228, 24.56966778, 16.53955701, 2.875722332, -19.72359412, 
##     -4.856048462, -16.95587869, 0, 7.037877569, 30.53445049, 
##     15.59417895, -9.500740004, 8.4, 19.54549057, -21.94587041, 
##     -19.18675615, -11.28272229, -6.025058731, 20.1042019, -1.95043842, 
##     -6.438602175, -5.865466468, -6.789750986, -17.65697012, -13.3570898, 
##     -8.026273202, -5.134579266, -2.141191827, 7.611552443, 5.599746195, 
##     12.44663965, 3.236677368, -2.332582947, -2.389660824, 0, 
##     -5.559448013, 0, -21.7080705, -48.79884142, -39.5671477, 
##     -25.18609208, -5.491634216, 10.22935778, -15.32890556, 36.74494991, 
##     20.66727983, 14.9987009, 2.361015684, -8.456907156, -7.041437398, 
##     -6.364282735, 12.92203518, 18.25622007, 16.50087154, 17.50947326, 
##     17.13468195, 12.46340621, 11.61254843, 8.207709946, 3.339109769, 
##     5.701858038, 6.863538201, 2.143280935, 4.497032849, 3.255681041, 
##     -3.473609327, -3.368660921, -11.20306115, -10.04602856, -15.74008328, 
##     -15.55977885, -9.118913685, -24.75934828, -23.82213605, 9.015698254, 
##     12.16220575, -18.1591368, -35.47729143, -49.64346482, -51.49809631, 
##     -42.40625572, -16.2520104, -25.80814653, -28.1810045, -6.140791668, 
##     -27.08408232, -6.419411024, -1.097730775, 11.7725832, -17.90744999, 
##     -19.41531473, -11.40305954, -4.093013604, -4.120720129, -5.072376105, 
##     -12.73153547, -7.68088558, -4.159751947, -2.055349039, -6.187872254, 
##     -10.04652302, -5.391431213, 1.096278604, -8.29979251, -15.23832406, 
##     -24.18483399, -25.52256875, -42.73299042, -38.43858321, -8.680980303, 
##     -14.08603455, -11.27297492, -7.108284209, -5.135933477, -5.253949848, 
##     -3.14571894, -3.145546018, -7.365300568, -14.89414313, -14.04897018, 
##     -22.5383464, -22.52177389, -25.55024997, -28.0958781, -28.04944604, 
##     -33.0105776, -38.49907095, -38.16329552, -39.29002588, -41.89913377, 
##     -37.41704545, -36.91989794, -34.92825669, -51.80507155, -23.90652495, 
##     -41.4, -32.47920328, -30.2908764, -60.51988106, -71.53798667, 
##     -59.28844352, -59.66692848, -70.73692185, -57.33929267, -45.32902839, 
##     -60.0366236, -41.02814222, -49.60147131, -43.47084336, -29.6588253, 
##     -30.98253108, -30.40626525, -27.67957719, -28.92668788, -37.70756839, 
##     -48.05236438, -33.87509296, -20.35782465, -24.60957576, -15.99425644, 
##     -13.62069989, -21.85771152, -22.81838658, -27.79048774, -29.74768214, 
##     -22.26650595, -22.26650595, -19.28584571, -25.6, -53.00611075, 
##     -62.54392655, -63.57748051, -57.98816862, -64.97770273, -57.73415355, 
##     -52.43883954, -55.96489146, -32.47878618, -50.34653911, -48.39081001, 
##     -50.9301144, -39.69271459, -47.6029999, -14.38079923, -1.208626539, 
##     -40.51543793, -42.14909099, -37.50494482, -37.1211559, -22.65875321, 
##     -23.41634042, -28.66676026, -21.09654009, -20.62704424, -32.08513725, 
##     -34.70400655, -27.76005381, -29.99021654, -38.36137755, -42.83311204, 
##     -47.2854251, -52.05302172, -42.62764933, -40.9994428, -52.26990082, 
##     -61.58699519, -63.50042794, -79.15050577, -26.90204771, -23.72554199, 
##     -37.98872051, -35.87385684, -21.15525312, -61.21524969, -88.11462334, 
##     -78.8100149, -79.6, -86.23209921, -77.78890943, -68.53578449, 
##     -49.30365267, -53.34382701, -64.12576548, -58.60027261, -46.15697825, 
##     -34.15834028, -49.53273702, -42.51535665, -49.03827927, -50.60749751, 
##     -41.0557448, -24.17895273, -11.80100327, -26.40508889, -34.95198604, 
##     -40.79227051, -27.96718788, -27.44790678, -29.36979798, -33.16814994, 
##     -30.41295672, -24.5, -22.35947797, -19.90242801, -22.71303844, 
##     -24.22989549, -20.60047183, -18.80391006, -25.22039379, -33.34067421, 
##     -42.25441043, -38.34243771, -48.67835121, -58.74352141, -62.75421274, 
##     -55.90898475, -38.38137293, -58.64066432, -23.29469792, -75.8, 
##     -49.43370478, -65.96171501, -47.42832491, -52.45447354, -44.91659465, 
##     -45.63123844, -26.20312692, -41.57580265, -56.28362563, -45.72392549, 
##     -34.35413424, -26.21216507, -14.19764863, -32.48058592, -54.83789442, 
##     -47.17577376, -37.07870731, -44.32819363, -30.5401107, -26.77795625, 
##     -36.14080007, -32.2028403, -25.5746976, -26.92126175, -29.4, 
##     111.7302556, 94.80772001, 99.59183677, 104.7332899, 105.9302003, 
##     107.7011188, 103.3885584, 107.102297, 118.5024842, 117.5009415, 
##     118.9617296, 126.8454751, 126.9943201, 98.30735321, 101.1240616, 
##     105.8, 109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.2, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.2, 88.73297408, 
##     103.2898367, 91.78282761, 123.0031302, 121.3790712, 113.6301329, 
##     100.2280531, 84.45701764, 58.13935053, 48.94373347, 54.45269213, 
##     57.33085196, 55.94103262, 101.3115697, 96.35283801, 102.8849017, 
##     107.7487923, 110.3095951, 117.3958973, 94.9484653, 107.3389091, 
##     118.2480576, 99.2652208, 88.77150338, 133.9628475, 119.028995, 
##     106.4554648, 0, 126.6300036, 105.5329786, 109.4914077, 115.0261992, 
##     80.70655942, 83.29558731, 101.9684297, 114.4168834, -111.5535193, 
##     -124.9045772, 43.24077756, -33.76753074, -33.55544843, 38.05063771, 
##     78.03475725, 32.07139242, 57.36726622, 88.56536663, -20.7776004, 
##     23.50022336, 0, 62.98395339, 60.55093449, 39.42443751, 0, 
##     93.02740141, 81.73862041, 87.49429776, 109.3420837, 116.8886757, 
##     121.7602366, 111.2399619, 115.7450692, 117.9292617, 115.9731779, 
##     100.8979119, 100.133072, 95.35902089, 76.79683601, 74.76323978, 
##     68.75954135, 62.98015913, 92.4012497, 100.4225829, 107.6382068, 
##     109.695982, 96.18372176, 98.27937232, 76.70664508, 96.74526853, 
##     119.0895395, 151.3523953, 107.8063625, 89.02751021, 94.20000404, 
##     106.742703, 118.8571285, 133.2123504, 117.4235782, 107.3137201, 
##     97.16193741, 101.7288396, 111.5555338, 121.0982388, 106.3432614, 
##     74.1947268, 46.2264958, 100.9655901, 73.34529191, 100.1261527, 
##     79.90776814, 48.9074671, 55.85993153, 110.7148718, 77.02443284, 
##     84.10686706, 121.4062938, 135.7104011, 126.1603006, 124.9045772, 
##     77.33488044, 93.80474918, 128.0622467, 136.4043171, 122.0928964, 
##     118.9557614, 110.5155684, 141.774524, 114.9818942, 112.4154372, 
##     102.759941, 86.90049856, 87.23065277, 101.8081816, 113.554642, 
##     98.25583414, 103.1814573, 103.5788791, 93.19165747, 102.0171614, 
##     100.444656, 95.49397457, 120.4555529, 120.571097, 113.6049598, 
##     114.3, -30.62773692, 127.8915177, 98.61509351, 104.8304294, 
##     99.42375737, 99.2652208, 123.9467335, 108.4268879, 112.3086928, 
##     115.7105825, 110.0612429, 129.2496668, 114.7365495, 116.9302693, 
##     110.9628588, 109.4587323, 122.9849442, 127.8323563, 118.4010575, 
##     100.4, 86.53028122, 97.24698987, 99.12929239, 102.2169278, 
##     98.72434057, 107.0516933, 106.6150505, 107.4063982, 107.3137201, 
##     106.9385027, 99.93056646, 108.5803674, 103.9696875, 115.7208338, 
##     95.73383739, 88.80689315, 97.59641723, 86.99794821, 112.1715677, 
##     124.8068094, 116.6057813, 120.029629, 117.2663764, 107.4034936, 
##     107.6854958, 104.2730274, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 68.11196259, 68.11196259, 68.11196259, 
##     68.11196259, 68.11196259, 68.11196259, 68.11196259, 68.11196259, 
##     68.11196259, 68.11196259, 68.11196259, 68.11196259, 68.11196259, 
##     68.11196259, 58.80026035, 65.20134293, 76.5946982, 60.00820916, 
##     24.48287409, 57.35173751, 127.6547602, 8.920534355, 34.35808059, 
##     -17.99343624, 78.53981634, 81.48269164, 55.83799936, -36.32719259, 
##     9.966865249, 90.18322525, 118.9758331, -31.45897426, -23.77542037, 
##     -24.62523174, -29.84989316, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.7, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, -27.53019399, -30.05999254, -23.21129001, 
##     -24.38981433, -14.8541617, -25.11522127, -22.7752238, -36.88264532, 
##     -37.87071084, -40.3392188, -46.3647609, -12.73440271, 36.56882548, 
##     40.93519194, 25.39347111, 32.25804239, 36.98465124, 41.97677942, 
##     46.37185138, 61.62688467, 57.74309776, 61.72180983, 57.6, 
##     61.63025243, 62.21014617, 66.51152659, 68.77230874, 69.08263591, 
##     69.55641836, 70.47490086, 69.24572361, 66.73311064, 65.160342, 
##     75.30518299, 63.17483154, 51.00869338, 55.48357375, 68.7712924, 
##     95.07501446, 90.97531579, 77.49200973, 80.71012303, 124.3116414, 
##     0, 36.28221719, 36.28221719, 36.28221719, 31.6546391, -26.21529333, 
##     -10.56054402, 50.2, 35.87706703, -6.001202956, -61.72916462, 
##     -53.64925125, -40.49754734, -29.54257704, -19.79265411, -37.37921748, 
##     -46.01716472, -14.04897018, -5.164744224, -17.56369254, -15.27327671, 
##     -27.96403612, -47.88379931, -54.90039185, -45.96868346, -105.0158348, 
##     -121.2176649, -85.53940073, 28.73481469, 22.67988481, 39.32298137, 
##     37.81341556, 34.0477953, 28.79724519, 32.27739398, 25.24997097, 
##     28.81559672, 60.40818379, 60.22687388, 54.10292564, 54.92579579, 
##     64.67942822, 66.30697853, 69.4728902, 71.14464585, 60.79402465, 
##     57.85735323, 61.20154543, 66.55649455, 56.90776874, 48.21399134, 
##     47.20095174, 45.85499758, 48.5958865, 44.21682744, 45.39957226, 
##     61.7255248, 43.11120481, 30.26599422, 12.68512754, 16.47894923, 
##     -47.33183317, -49.36907009, -54.7, -39.68271252, -13.07686551, 
##     -17.47051074, -24.17746801, -26.62024086, -11.42683324, -17.00426264, 
##     -12.10094412, -21.42352984, -9.446325952, -20.89159615, -19.1647195, 
##     -33.41708137, -61.3669163, -39.08780458, -37.74778602, -84.03029591, 
##     -100.3345852, 5.786377787, 39.54152604, 29.61323861, 34.46514971, 
##     39.9501335, 35.90682216, 44.4275573, 47.37285852, 49.95398473, 
##     59.14622014, 66.71044102, 63.30844523, 56.18392001, 68.61193134, 
##     72.01164765, 67.92944175, 61.63031764, 62.92565718, 65.41054045, 
##     60.5909586, 63.52737577, 51.31452512, 45.48251116, 40.46610728, 
##     59.9370932, 72.34080684, 67.7, 60.83906358, 60.83906358, 
##     60.83906358, 60.83906358, 58.07079861, 76.33993653, 76.33993653, 
##     51.56827972, 51.56827972, 51.56827972, 51.56827972, 39.42443751, 
##     39.42443751, 39.42443751, 56.39426414, 42.95518032, -33.04226479, 
##     43.5249907, 17.91306093, -34.77194896, -36.18932231, -28.15541682, 
##     -25.02971307, -7.94354733, -16.48989946, -17.81627196, -34.14517786, 
##     -49.11912305, -65.8, -80.99982509, -56.39426414, -100.6853685, 
##     15.68156853, 39.85224457, 38.3374407, 40.23860994, 46.83282161, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.7, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.7, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.66002952, 
##     52.66002952, 52.66002952, 52.66002952, 52.66002952, 52.7, 
##     34.92023869, 35.62294762, 40.8426999, 42.68334824, 41.5952087, 
##     41.5952087, 41.51677061, 41.51677061, 41.51677061, 43.42807734, 
##     33.96835614, 36.10031264, 37.92328428, 38.76774892, 34.09161997, 
##     39.09517119, 39.09517119, 39.7321763, 36.79169728, 31.96455638, 
##     -123.9247901, -125.5873203, -123.0261987, -131.1596389, -134.4263926, 
##     -136.5714365, -141.5799585, -123.5080121, -133.5649728, -131.0810081, 
##     -123.1395063, -107.1449605, -122.7772386, -143.0306625, -53.76832531, 
##     26.81069273, 45.81903823, 68.9493449, 114.013107, 117.2273881, 
##     118.4093779, 121.046185, 137.3400767, 118.8954242, 85.52453675, 
##     88.84797719, 100.5771269, 111.3128055, 78.29105909, -6.972979491, 
##     51.15569382, 96.44825809, 104.8992428, 99.3072385, 29.80012196, 
##     74.9998823, 90.7, 88.76123753, 6.527916052, 28.60221749, 
##     52.00274911, 57.63752206, 66.76168459, 38.81931779, 33.98369095, 
##     51.23894603, 61.01395743, 52.24099951, 44.26692319, 48.61853923, 
##     27.24263737, 41.5952087, 71.88299996, 30.27459516, 50.24148996, 
##     90.77330905, 0, 106.4168272, 24.27127104, 25.16776668, 16.48989946, 
##     9.400303381, 107.6632893, 126.6121339, 136.2762479, 137.9143766, 
##     106.8147058, 105.191817, 98.04953028, 113.9448226, 88.27647387, 
##     85.59320273, 85.09120962, 69.1722727, 92.07070267, 101.9018776, 
##     74.65355162, 97.29924466, 88.06229769, 112.7707553, 96.06681519, 
##     84.03029591, 62.26770183, 27.96572429, 41.5952087, 69.609158, 
##     72.21226075, 46.314842, 64.35011088, 31.59134881, 33.51265581, 
##     36.28221719, 41.3, 41.24104416, 48.39081001, 43.39640077, 
##     56.67523258, 38.99993486, 60.55446636, 46.05539917, 48.61853923, 
##     82.59832557, 37.74778602, 70.36389513, 66.59692374, 77.72677238, 
##     88.93628495, 78.33405444, 110.7148718, 127.2297395, 124.9461631, 
##     145.8138286, 124.491337, 128.009583, 106.1056648, 60.7834956, 
##     58.40177206, 90.64314421, 137.3306891, 137.0249969, 137.3306891, 
##     111.6609957, 107.4373573, 82.88490588, 80.94716343, 78.53981634, 
##     74.9998823, 95.67010682, 130.7801595, 77.10623039, 115.0261992, 
##     98.11956375, 131.0072405, 68.6358209, 56.67523258, -17.70131455, 
##     -10.80428526, -68.30590915, -13.02822043, 40.25455506, 10.66513285, 
##     0, 28.19273684, 43.66271598, 44.66362641, 40.39712976, 60.00820916, 
##     67.98734452, 51.15569382, 49.25408519, 28.97517014, 91.50513915, 
##     43.81490306, 133.970566, 136.9540391, 41.76527692, 102.5655513, 
##     100.6544007, 101.5442213, 110.1090899, 121.9351533, 132.7275137, 
##     142.3016994, 147.9426872, 142.2814866, 127.9339532, 114.7464331, 
##     116.0920958, 117.055567, 84.05558403, 88.43872344, 109.264643, 
##     124.7177761, 50.04709191, 107.2626643, 43.98425828, 5.347773462, 
##     -60.96716945, 38.66886262, 48.91106345, -27.76282435, 0, 
##     8.314123189, 43.12864637, 31.27667219, 34.30239404, 26.81069273, 
##     0, 66.1067893, 125.8836028, 55.51211676, 42.8932447, 57.29398095, 
##     115.4663826, 118.1991504, 122.851582, 134.6534213, 117.1225692, 
##     115.4770328, 123.2906716, 90.97531579, 121.0576042, 104.5199791, 
##     86.22539458, 98.6, 80.48836147, 111.8329022, 93.73927558, 
##     104.6000555, 95.81444106, 101.3631675, 81.66269624, 104.4214316, 
##     50.44982316, 68.13627255, 44.0510663, 0, 29.56751395, 6.656816378, 
##     58.6979672, 58.72916607, 54.04195003, 74.98231319, 78.47739435, 
##     91.13726047, 80.02008405, 35.66623964, 95.53166181, 95.05468408, 
##     117.9585532, 101.9, 87.15786951, 144.2932861, 120.7598221, 
##     102.1560893, 44.42344307, 95.49934801, 105.9222525, 90.9204253, 
##     92.18007678, 82.32119771, 49.81594206, 78.47739435, 86.33683008, 
##     75.91393752, 80.72986566, 90.56002718, 94.6042458, 112.2339117, 
##     109.5225505, 102.3938806, 102.5909797, 102.4420088, 102.7426696, 
##     120.5594877, 112.8513041, 116.252026, 132.152497, 140.5647649, 
##     112.7825699, 111.7963347, 135.2628418, 134.1654735, 132.4779899, 
##     130.2835734, 113.4197491, 130.7949191, 120.3490526, 114.5585074, 
##     131.1464582, 90.48518739, 110.5340392, 115.0204645, 118.5590576, 
##     108.218817, 82.24691545, 109.3851921, 117.5199765, 106.268075, 
##     98.77913431, 94.22613924, 90.07532522, 97.63458832, 94.22393145, 
##     101.3735186, 100, 53.78821253, 55.12097412, 53.11345371, 
##     53.18990392, 50.95321328, 51.41485061, 53.021172, 52.18342798, 
##     52.55464468, 47.41424718, 52.7628016, 52.63309757, 51.93863319, 
##     54.24416341, 48.46050806, 45.94553089, 55.2, 51.01799349, 
##     49.31031028, 50.90788593, 63.35605264, 62.46977327, 57.80896656, 
##     57.4053217, 59.12152846, 60.17545286, 59.12849299, 48.44800258, 
##     53.19045494, 66.69774975, 56.6260431, 56.35160823, 53.39157225, 
##     51.60739481, 54.85580317, 56.66162723, 55.26483506, 54.8402944, 
##     55.17791895, 54.98785386, 55.03074858, 56.63572914, 55.5321446, 
##     58.18072201, 56.23683038, 54.94635334, 55.8037498, 56.54793098, 
##     55.41735367, 54.39949834, 54.40049868, 53.12883112, 53.1, 
##     52.55569591, 59.98896763, 51.48813884, 49.21160827, 51.36001781, 
##     54.15339083, 53.52339655, 50.60140939, 52.26063786, 58.2317939, 
##     60.15132176, 49.02594853, 49.25507609, 56.15486311, 54.70341648, 
##     53.36378946, 52.99481465, 52.5793707, 54.90647151, 55.27028456, 
##     55.31203401, 56.26516104, 53.53627507, 53.4, 53.57824641, 
##     53.96504754, 54.72504818, 55.31203401, 55.12814019, 54.30198999, 
##     54.30153418, 54.7798471, 55.26343608, 53.57777489, 60.13776367, 
##     58.8404797, 61.42783566, 67.65697233, 68.63107334, 59.63290244, 
##     61.78996268, 64.63854522, 66.36655879, 65.83220315, 70.53974754, 
##     69.73024294, 67.86662093, 64.7310075, 62.88994293, 64.52944785, 
##     64.96759644, 61.78668304, 72.05250855, 75.57548492, 74.5414417, 
##     69.67442341, 73.41699434, 71.728375, 73.91712457, 73.93849013, 
##     69.21859157, 76.13563349, 70.49427638, 65.51417616, 70.01289405, 
##     59.3082521, 57.45503139, 51.97824108, 49.53821297, 49.57767034, 
##     54.0052384, 64.33589638, 73.32421497, 73.77822458, 76.17638673, 
##     78.6039481, 73.66762663, 72.65568236, 75.68888159, 67.13569404, 
##     61.555906, 63.55149613, 71.41820074, 64.17055418, 52.86164275, 
##     49.37691227, 56.13038907, 67.18256085, 69.67794974, 64.29901751, 
##     61.97481335, 62.73107929, 60.29304629, 56.83309168, 57.03602684, 
##     59.41857437, 61.15140595, 63.91094622, 75.56244282, 75.8, 
##     70.81702682, 63.35175881, 64.22471267, 66.70870457, 68.35901022, 
##     66.78916752, 76.31926936, 73.04125044, 68.12006731, 66.88412698, 
##     68.67295451, 70.79324411, 74.69908542, 69.89844013, 67.23336071, 
##     63.79994514, 67.39582815, 67.17379949, 61.74030779, 62.42503697, 
##     61.22069589, 65.16556874, 64.5073452, 65.56921247, 57.78693502, 
##     63.3, 58.97877985, 60.16210896, 60.33459745, 59.61768955, 
##     58.53968866, 59.06016904, 60.6260237, 62.797336, 64.79921913, 
##     66.47695691, 67.97836272, 70.4035721, 71.51208976, 71.40162148, 
##     68.26974761, 65.46703345, 64.50020082, 72.8042553, 72.37423572, 
##     71.8, 69.36459124, 75.05942649, 74.77346535, 76.14348523, 
##     78.16138114, 71.40451143, 72.76460873, 73.86644249, 71.45734673, 
##     64.5536184, 64.40849429, 61.51634741, 63.69515631, 62.3315511, 
##     58.38698212, 54.44931325, 60.98282943, 62.61281198, 60.66122891, 
##     57.42845332, 58.5866893, 62.63474472, 62.56818135, 65.22086844, 
##     67.50447384, 67.2113954, 70.01638958, 72.06006916, 67.51233082, 
##     62.79050739, 74.12838483, 67.19596868, 69.51372429, 69.63055788, 
##     69.2678131, 74.87659275, 77.95524811, 75.46761825, 71.22298766, 
##     67.73303338, 67.14554349, 64.47143921, 62.85118965, 62.86135925, 
##     65.36781409, 63.13426459, 56.06128451, 58.19500691, 59.29636641, 
##     62.18671837, 63.83931345, 62.65127021, 62, 61.89296464, 63.34374009, 
##     68.45938312, 67.21408441, 71.52255239, 75.02682336, 77.28120672, 
##     73.74561199, 68.26670512, 70.01280848, 71.19043969, 72.12886052, 
##     74.28666908, 78.37164371, 76.73327689, 77.23735708, 77.48436934, 
##     84.03358432, 84.82193375, 84.2710755, 82.96552613, 77.43196961, 
##     76.67168385, 69.1, 72.32376149, 66.75841677, 63.61502962, 
##     64.80271326, 68.5380911, 72.44843341, 76.09080211, 76.03640227, 
##     75.85570134, 75.47954496, 69.37650609, 65.90202654, 69.54720712, 
##     72.91258984, 68.45327973, 67.49071214, 69.6433296, 64.34270953, 
##     60.30949909, 63.91413665, 64.25609291, 64.64431839, 65.24361342, 
##     59.97344686, 65.24361342, 60.74855873, 57.24731805, 67.89862796, 
##     70.48677629, 74.05903932, 74.6, 74.79848326, 64.49727072, 
##     68.70839897, 68.74597977, 66.51591639, 74.10246045, 81.96698103, 
##     85.88002257, 73.10171587, 69.32623043, 75.17628611, 80.64791133, 
##     77.72174895, 73.97614906, 72.21820338, 69.86858643, 72.76456395, 
##     66.49596621, 69.4, 61.13092635, 61.39286918, 62.99740908, 
##     58.24924592, 54.18589438, 54.90770389, 65.25625419, 65.37178175, 
##     62.56762366, 60.68879583, 59.56029677, 62.54677042, 65.39855496, 
##     69.7359911, 73.79657203, 76.01850491, 73.23027716, 63.25479911, 
##     65.75721406, 77.38419827, 79.54942994, 78.82015248, 76.59198351, 
##     74.5637578, 73.2231257, 71.04749472, 73.91644277, 76.60039737, 
##     77.1, 76.89156589, 72.17605843, 69.17350938, 69.82714912, 
##     66.61721005, 66.13342007, 65.08495063, 60.86267277, 59.49776163, 
##     55.00466772, 55.6568432, 64.9920001, 62.22511025, 59.45082899, 
##     58.34139008, 59.37750257, 60.7, 60.90941037, 62.44641649, 
##     62.14695671, 62.02269581, 61.56224694, 59.93063381, 61.40029478, 
##     62.80180874, 62.10844439, 60.98282943, 61.26697485, 61.43595529, 
##     61.48994711, 61.81570795, 61.22158322, 61.05115375, 61.26250085, 
##     61.17379655, 60.39269844, 59.32855144, 59.55259697, 60.19127148, 
##     59.53086746, 60.00971198, 59.46300147, 62.10600856, 61.07837935, 
##     59.4282202, 59.09173314, 59.1446757, 58.41044279, 59.20824049, 
##     59.43459385, 59.83766851, 61.17036854, 61.7, 60.03538614, 
##     59.96601375, 61.5446701, 61.61616968, 58.81025384, 59.12589635, 
##     59.52204066, 59.54273576, 58.4565668, 58.21429722, 58.43317752, 
##     59.0141772, 58.22988923, 59.19044107, 59.4774785, 59.74884573, 
##     59.1, 60.76558501, 58.54444497, 59.39212537, 59.63552329, 
##     40.96186853, 47.21686647, 50.95499788, 51.08238724, 51.21794348, 
##     49.32490384, 48.22331812, 56.5510963, 54.59714963, 51.84081892, 
##     48.14421861, 48.67437699, 48.02837342, 51.07386919, 50.59310468, 
##     52.49604456, 46.42475286, 51.9404874, 52.31607301, 48.93196647, 
##     52.69850557, 52.46279753, 49.6990117, 52.69850557, 51.08238724, 
##     46.15707689, 49.57078299, 47.2008511, 46.18683234, 48.49479745, 
##     52.12893783, 42.13586607, 43.52032516, 60.41199062, 58.49251134, 
##     61.37892284, 60.03533169, 54.42123072, 59.55499524, 55.47811246, 
##     57.08973358, 57.89796855, 55.81577433, 54.21363392, 53.73182844, 
##     53.5956288, 54.08205839, 53.08102396, 51.53863765, 52.84866534, 
##     52.84866534, 50.72592277, 52.22217251, 53.4832938, 54.72438232, 
##     54.72438232, 52.94849318, 48.2483516, 46.38788938, 43.59124879, 
##     44.16642771, 46.82070256, 50.8, 46.51182982, 43.17394932, 
##     50.38619855, 47.03525894, 44.50399467, 51.83767173, 50.50143722, 
##     46.18683234, 46.1745134, 49.41857295, 50.95499788, 50.3512421, 
##     50.53170337, 46.75042837, 44.81905922, 46.00380942, 46.10300454, 
##     40.56279369, 43.02035426, 46.82070256, 46.52668175, 47.73861383, 
##     29.69696314, 31.13560806, 33.29126893, 33.21412863, 32.5784763, 
##     33.28184485, 34.13407027, 33.55844119, 39.69599109, 43.20757079, 
##     41.78049276, 40.44905052, 43.23087478, 46.6772819, 42.85802216, 
##     42.43009512, 41.84224541, 40.56692592, 37.18098965, 39.05146459, 
##     59.52222738, 59.71193022, 58.08055153, 60.58810233, 63.28445875, 
##     66.34725463, 68.23848089, 66.89247703, 69.08235599, 72.59489226, 
##     68.18955929, 67.28843143, 70.75712913, 68.72597064, 69.22613477, 
##     72.38179839, 71.26451823, 74.98900421, 73.27965586, 69.32893905, 
##     70.72775091, 73.18689651, 77.4, 67.55842374, 67.10145657, 
##     69.33933582, 69.83096318, 72.57372158, 72.42940521, 72.67742539, 
##     73.96526906, 72.86518203, 72.10944036, 72.16048203, 81.4247481, 
##     75.00580999, 74.96602512, 72.57921573, 71.11612141, 74.32063702, 
##     75.25217877, 73.53803479, 71.90941989, 74.96581375, 73.41079183, 
##     72.30658615, 72.87250423, 74.32397915, 75.02563847, 74.16922686, 
##     71.68192436, 73.1, 73.09149209, 71.36192006, 72.70357921, 
##     70.79576674, 72.66060469, 69.38860636, 69.96490146, 73.8662311, 
##     74.26304379, 70.49602221, 69.3951999, 66.23803523, 66.97238349, 
##     65.02561221, 66.08604291, 64.0141425, 61.01101541, 62.64462809, 
##     63.60057716, 68.01429058, 67.45206414, 69.67030859, 71.25461302, 
##     72.27220965, 70.6399273, 70.46367395, 69.34847473, 68.05624286, 
##     67.15625584, 67.96959665, 69.58319207, 68.2446404, 69.94668802, 
##     65.80818712, 66.63832335, 69.30424478, 68.28563353, 68.32465445, 
##     67.45889294, 64.70873735, 69.25880158, 69.05749292, 60.898589, 
##     66.243333, 63.15096551, 63.63088782, 63.85072421, 57.54940137, 
##     52.94703358, 55.7581565, 61.17535588, 60.34516288, 59.1166765, 
##     58.10481425, 58.21863815, 60.99795817, 59.0187949, 57.40254432, 
##     57.90949737, 58.10481425, 58.45969702, 66.66972124, 60.00169094, 
##     59.41925265, 65.55619667, 67.10024089, 70.46250062, 68.44741437, 
##     70.08667136, 71.5199872, 60.46003625, 64.95344338, 59.60987832, 
##     60.98709137, 64.29538871, 63.03796838, 61.57269056, 68.05886622, 
##     66.78032328, 66.94541863, 61.0414916, 67.56764926, 65.1258021, 
##     64.99368882, 64.10463062, 65.01069472, 67.6, 65.06755456, 
##     65.51488742, 66.15395628, 66.23916378, 63.98154953, 60.46003625, 
##     60.90192779, 66.14057195, 65.30694449, 64.44765474, 60.98856274, 
##     57.58180693, 53.33562838, 59.40265338, 58.27356667, 59.49987344, 
##     56.48860637, 56.9, 55.8463721, 55.49320526, 56.79999876, 
##     56.28298734, 56.89423552, 55.86763383, 55.47281323, 55.69916182, 
##     59.90975655, 57.07420733, 57.99123829, 61.35649164, 66.18921657, 
##     59.48345469, 64.6783445, 61.8095956, 76.66607974, 72.92236332, 
##     73.96526906, 76.37065661, 77.1250028, 68.82913109, 70.49748453, 
##     76.79737095, 71.40254571, 76.58034158, 77.37871914, 78.6773681, 
##     77.75929548, 77.99698618, 76.81640424, 75.24770598, 72.24102172, 
##     73.62579911, 73.21977033, 74.26304379, 72.65838625, 72.53517324, 
##     71.9, 66.87864606, 71.16594795, 62.0653931, 54.77876663, 
##     60.43668248, 60.17867986, 60.48554318, 58.97724972, 57.8272695, 
##     57.12910699, 56.99012076, 56.89423552, 57.17789456, 56.58861477, 
##     57.00351088, 56.66517093, 57.84061843, 57.7955423, 55.56499617, 
##     56.55636959, 58.29673084, 58.91950811, 59.55499524, 57.2, 
##     73.58960892, 71.71847027, 73.94323555, 74.7995545, 73.41515938, 
##     75.44307173, 72.75678425, 64.69321132, 67.77312708, 62.54237284, 
##     65.30496569, 52.73345245, 56.26000412, 58.75627317, 59.44558982, 
##     57.27171924, 65.03318392, 61.42040341, 58.53279977, 74.48088163, 
##     72.21732151, 72.94732497, 68.37134582, 69.99787922, 68.84483637, 
##     66.99832559, 68.49985014, 65.29653109, 65.41416631, 69.10484843, 
##     72.63627203, 73.29256667, 73.13760691, 74.81711401, 76.47680926, 
##     76.67736978, 76.25216158, 75.74008889, 74.21173611, 75.07426079, 
##     77.75187634, 72.94441549, 62.39718159, 61.46120142, 61.41439237, 
##     55.98531789, 56.07676759, 60.21066844, 61.57498522, 61.94258519, 
##     55.66345712, 54.63580608, 61.83041899, 71.84635545, 72.87163257, 
##     70.95950469, 70.10436472, 66.5504606, 71.2785519, 66.56611138, 
##     66.46047392, 71.42869952, 77.52209173, 75.93545153, 73.21875025, 
##     63.66159986, 60.76175298, 67.36923395, 67.00276578, 63.88651442, 
##     64.3747793, 64.82684848, 65.27944605, 64.19513313, 61.36210275, 
##     58.53822154, 59.3667683, 60.55777304, 61.69656305, 63.40485878, 
##     64.34166322, 62.64462809, 61.24482881, 62.39718159, 62.39718159, 
##     41.76153218, 38.36881403, 38.7196996, 37.96036685, 41.09125176, 
##     40.35298263, 42.0667273, 44.66453696, 44.37740166, 43.15547801, 
##     41.36123734, 41.84224541, 40.46985668, 39.7227675, 43.63865381, 
##     45.96036057, 43.44889038, 45.52260347, 44.94736032, 45.38671976, 
##     35.56753491, 36.91586255, 43.20177555, 46.71300917, 49.86102978, 
##     57.08914824, 58.50166994, 53.64784766, 46.58446386, 43.52177631, 
##     41.0212007, 37.76944384, 35.51633308, 26.29909424, 21.15488542, 
##     29.42937742, 26.2746404, 32.0183387, 30.82909099, 32.74981786, 
##     36.10558944, 35.93006516, 32.64855486, 34.51020146, 35.498267, 
##     30.7, 59.57590133, 56.09249995, 55.59820959, 55.70588244, 
##     60.83251731, 58.1330716, 58.43317752, 58.95391376, 61.7024878, 
##     61.10084675, 60.6431785, 60.18258599, 58.48565992, 60.79785335, 
##     55.71983761, 54.76772228, 60.79785335, 47.9519292, 44.66636784, 
##     46.05501805, 39.51524702, 39.34942589, 52.11489853, 49.323045, 
##     44.81905922, 49.11914443, 53.4832938, 41.99793238, 49.07967053, 
##     57.51353942, 51.50096378, 34.22374673, 52.56123589, 50.30784892, 
##     51.18508095, 52.30276268, 52.15617033, 52.64983434, 50.22919149, 
##     47.54055139, 46.51858778, 53.21033306, 47.84273127, 49.17600897, 
##     50.42573508, 51.06901691, 49.58998712, 49.00528545, 46.75961486, 
##     45.66910619, 45.79040295, 46.51549615, 47.00112304, 48.15086841, 
##     46.02366472, 49.62426085, 49.1839421, 52.49122669, 53.70830873, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.5, -107.4901385, 
##     -107.4901385, -107.4901385, -107.4901385, -107.4901385, 2.675799839, 
##     2.675799839, 0, 5.574707892, -123.2747198, -99.38208909, 
##     -79.92362247, -70.06138763, -16.05611392, -30.91933209, -30.91933209, 
##     -82.32119771, -101.5, -15.49223199, -96.00703624, -60.12642167, 
##     -100.4361727, -97.23774333, -101.2197011, -131.911866, -73.78404537, 
##     -87.60580506, -113.7859594, -124.4833332, -129.0865174, -102.823306, 
##     -80.24955122, -102.1943182, -126.407572, -111.9923092, -103.3907416, 
##     -101.0332632, -97.22038789, -132.2507807, -132.6225141, 78.53981634, 
##     135.0808349, 46.77003754, -34.20058522, -41.25683193, -30.27459516, 
##     -12.34044667, 26.81069273, 68.93020395, 85.91247548, 110.9628588, 
##     110.9628588, 110.9628588, 110.9628588, 110.9628588, 123.9841439, 
##     127.9339532, 94.12426501, 75.90702093, 87.62588612, 87.62588612, 
##     87.30016402, 89.22706925, 59.06368552, 59.06368552, 59.06368552, 
##     98.04953028, 83.88247412, 90.06214203, 81.45151466, 33.39323344, 
##     72.0418501, 89.23867242, 74.2443011, 87.44888461, 113.5448905, 
##     97.85344796, 96.88368873, 114.1690117, 108.3180084, 102.5909797, 
##     113.6131134, 129.0282461, 129.0282461, 129.0282461, 129.0282461, 
##     129.0282461, 129.0282461, 125.7895099, 125.7895099, 119.6827345, 
##     119.506005, 119.506005, 102.4420088, 102.4420088, 139.3783181, 
##     139.3783181, 139.3783181, 118.0322923, 118.0322923, 118.0322923, 
##     118.0322923, 118.0322923, 118.0322923, 118.0322923, 116.3669371, 
##     105.0682605, 0, 96.85418029, 94.6042458, 135.2127381, 148.8, 
##     77.19285208, -17.92904981, 65.56956262, 81.12546166, 73.99957443, 
##     90.1327694, 90.9204253, 73.13299502, 64.76418313, 76.3860403, 
##     92.65554587, 99.36111121, 104.4175706, 99.07378186, 108.6256215, 
##     118.6793982, 104.1523829, 103.2898367, 116.3077017, 129.1544765, 
##     115.3843414, 105.0158348, 105.0158348, 105.0158348, 105.0158348, 
##     123.939352, 116.0668986, 115.0778643, 106.3871151, 129.9954758, 
##     100.6157378, 101.9018776, 101.9, 126.3669908, 109.4914077, 
##     118.4649477, 108.574654, 103.8314543, 106.030157, 70.5456015, 
##     136.9540391, 131.2247813, 103.8920977, 109.7438865, 115.4663826, 
##     119.6480073, 117.1777597, 119.0121629, 122.4749396, 124.6712927, 
##     96.08955077, 102.431356, 103.5497392, 103.5497392, 103.5497392, 
##     103.5497392, 103.5497392, 103.5497392, 128.1722276, 122.3691003, 
##     105.5329786, 105.5329786, 105.5329786, 99.66570051, 120.4230991, 
##     114.6201852, 96.45303579, 64.18410099, 110.4040678, 99.42375737, 
##     120.3588306, 139.2434549, 116.6183088, -95.53166181, -59.08727501, 
##     -14.79814607, 92.7295218, 42.05343353, 19.36583004, -19.36583004, 
##     -61.54797087, 131.8589368, 131.8589368, 131.8589368, 131.8589368, 
##     131.8589368, 131.8589368, 131.8589368, 131.8589368, 116.0366238, 
##     116.0366238, 116.0366238, 116.0366238, 116.0366238, 116.0366238, 
##     79.9685822, 79.9685822, 80.66811856, 78.53981634, 77.02443284, 
##     100.6853685, 100.6853685, 100.6853685, 100.6853685, 100.6853685, 
##     131.911866, 121.2176649, 121.2176649, 121.2176649, 131.911866, 
##     129.0865174, 90.77330905, 57.6, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 150.4228163, 131.8589368, 
##     131.8589368, 131.9, 108.7740032, 116.1210505, 106.70123, 
##     111.6609957, 131.9802427, 103.0461648, 104.2061775, 116.5923012, 
##     104.8488395, 109.8600078, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.225388, 
##     109.225388, 109.225388, 109.225388, 109.225388, 109.2, 101.9018776, 
##     101.9018776, 116.1318006, 116.1318006, 92.50146305, 117.1777597, 
##     121.0576042, 121.9528199, 71.4990268, 67.77728731, 95.20617841, 
##     105.3029571, 127.8915177, 103.1589734, 109.4914077, 124.9045772, 
##     126.4022095, 109.5158611, 110.2, 131.8242051, 95.53166181, 
##     131.3131055, 121.4629689, 127.3028464, 120.6960354, 122.7181227, 
##     124.491337, 111.3128055, 94.15173469, 44.29110441, 145.8334378, 
##     114.937712, 100.4361727, 133.2855202, 119.7004152, 97.64543658, 
##     121.0165157, 79.7854968, 123.0959417, 106.8344896, 104.7, 
##     -120.2682685, -134.0801789, -134.0801789, -132.5817664, -112.4978846, 
##     -112.4978846, -105.2661598, -43.78564991, -79.7854968, -90.18322525, 
##     -45.16334411, -115.0261992, -106.3697822, -108.574654, -108.3370191, 
##     -87.62588612, -87.62588612, -73.20684846, -75.42424748, -75.42424748, 
##     -75.42424748, -75.42424748, 63.21756318, 63.72202199, 62.45438651, 
##     60.60437587, 60.08248603, 61.02409015, 60.79250754, 61.09421753, 
##     60.4809392, 61.72832201, 61.49709311, 62.49551489, 62.42690019, 
##     61.98140777, 61.08791712, 61.32637144, 61.48903728, 61.53783168, 
##     61.21604017, 62.1716967, 59.83320438, 60.51612662, 60.52585872, 
##     59.95299451, 60.8, 61.54115219, 65.7035684, 62.93508872, 
##     63.33875787, 61.93231103, 68.64870293, 66.2040008, 61.20997406, 
##     61.21830281, 64.59502174, 64.62414221, 68.53902327, 71.97692953, 
##     72.22390435, 73.40131014, 68.52115662, 67.39188403, 65.80817773, 
##     76.12122426, 81.29368369, 72.7, 60.68757437, 59.97477245, 
##     58.89838278, 59.74884573, 59.52204066, 57.19363387, 65.80392497, 
##     67.44783761, 66.41569377, 66.81458731, 68.32720901, 67.55677983, 
##     68.33753632, 69.44623221, 67.59500957, 66.29292498, 70.91555662, 
##     72.89177797, 75.95879747, 69.56245869, 77.02769721, 76.14818448, 
##     75.98612139, 78.3145949, 74.45180678, 70.56116148, 70.72883588, 
##     71.07510658, 71.61541255, 62.32395913, 66.19141032, 67.60094599, 
##     54.58802539, 66.5865796, 64.64258008, 64.14824535, 59.74943006, 
##     57.8558451, 57.18019188, 57.03960531, 58.20545349, 60.37506825, 
##     61.86273863, 65.06074687, 69.21395226, 72.77681821, 71.05606969, 
##     64.73397201, 54.695663, 56.50129566, 59.51735281, 67.09255731, 
##     67.54296611, 57.89857013, 54.40586158, 59.49154456, 48.39683307, 
##     47.75954666, 45.24738361, 45.51241144, 39.39619592, 75.06521036, 
##     78.15221556, 64.77347484, 51.17783526, 23.5, 50.71201632, 
##     99.25155968, 11.57282059, -46.323494, -11.79283515, -17.18329386, 
##     -25.65549817, -21.54341908, -27.99447002, -31.03161186, -29.06952655, 
##     -40.46034562, -45.20961266, -93.83081845, 34.46514971, 18.92722319, 
##     16.83951141, 38.66886262, 34.08150983, 45.10286803, 41.69420058, 
##     32.7176137, 41.90027766, 49.17813206, 54.74999259, 59.87052646, 
##     51.22041017, 51.22041017, 57.85951586, 57.85951586, 57.85951586, 
##     57.85951586, 57.85951586, 57.85951586, 57.85951586, 57.85951586, 
##     57.85951586, 57.85951586, 81.66269624, 81.66269624, 81.66269624, 
##     81.66269624, 81.66269624, 81.66269624, 81.66269624, 81.66269624, 
##     81.66269624, 85.57121418, 80.5033695, 52.94703358, -20.00941447, 
##     45.67730424, 95.05468408, 129.4610079, 126.4518958, 52.13580776, 
##     -25.91801896, -34.1, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 70.78301663, 70.96460835, 71.42384282, 
##     68.4741147, 68.4741147, 69.36961808, 69.77840318, 69.77840318, 
##     67.44868151, 67.44868151, 67.44868151, 69.26617949, 69.26617949, 
##     55.38511326, 51.2, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, 5.653088706, 5.653088706, 
##     5.653088706, 5.653088706, 5.653088706, -19.73571096, -11.89001246, 
##     -5.145715536, -11.12271159, -22.67801, -23.57312457, -26.61485095, 
##     -24.41530975, -21.42274875, -17.82373001, -27.65424277, -25.39026061, 
##     -35.20274647, -39.80121611, -29.98831957, -28.10196724, -27.8718934, 
##     -36.72280563, -41.41426359, -41.58238364, -36.76981305, -53.5167609, 
##     -29.68822335, -30.25965385, -24.17746801, -53.2, -30.47506316, 
##     -27.02333477, -13.37315894, -33.44205479, -22.25077531, -19.15618026, 
##     -16.29414786, -24.8830298, -62.35467354, -48.69949478, -29.48502416, 
##     -41.78504118, -39.75307526, -31.25920358, -19.61025843, -14.71731686, 
##     -3.481787761, -1.994853279, 0, -9.37380846, -25.76588029, 
##     -36.79211001, -18.04671767, -3.61419573, -1.149678471, -5.654986572, 
##     -3.432665205, -2.302860031, -7.010959084, -7.944986225, -13.96310855, 
##     -13.24481971, -24.32854528, -9.446794281, -20.63704328, -23.24646846, 
##     26, -4.087667122, 2.183262155, -1.153573152, 2.05850378, 
##     3.8499528, 5.02959509, -14.11589821, -6.233117605, -5.093387092, 
##     -1.010530705, 7.060395097, 5.058339803, 2.005959879, -2.038835924, 
##     0, 0, -6.135241634, -16.67192252, 2.158203584, 4.090230817, 
##     2.039896143, 0, 1.986080028, -1, 100.0478967, 65.64117202, 
##     72.66801849, 104.6007137, 83.35348944, 57.63285996, 115.0061753, 
##     101.0708977, 36.79595843, 92.68788621, 74.37700469, -4.328774995, 
##     91.15704186, 115.7331222, 22.39244524, 73.51276393, 70.08027019, 
##     8.641387748, 35.25419511, 67.61836376, 32.14904538, 35.12068411, 
##     53.32563138, 82.34422416, 82.15120295, 73.57763998, 82.42586029, 
##     65.4270584, 41.55631057, 43.8, 139.5906005, 125.7521856, 
##     142.2814866, 128.9900109, 124.9045772, 116.8651875, 104.2375122, 
##     109.6284972, 115.9541466, 138.1144782, 128.7111958, 137.2705669, 
##     126.2750826, 116.0945, 96.06681519, 93.73927558, 113.0486534, 
##     110.5433639, 118.5626103, 103.6353741, 115.0193088, 123.6053504, 
##     104.3611479, 64.1, 55.4698307, 55.94485974, 55.21173932, 
##     55.4659041, 54.24730572, 58.27762755, 56.57446853, 55.82441814, 
##     57.84062056, 57.67535027, 55.21173932, 54.43080586, 56.41990111, 
##     58.51743969, 55.21173932, 53.38868344, 63.07459128, 55.4659041, 
##     53.59736547, 51.3740352, 57.13012211, 48.09493118, 46.16605154, 
##     47.26546107, 41.80812189, 38.83187182, 40.75375419, 29.51779121, 
##     17.93898445, 16.58764049, -41.82243296, 28.16941913, 75.19717706, 
##     88.74051221, 77.40290146, 105.8114985, 99.50380093, 75.75789345, 
##     65.218975, 65.98782226, 59.9, 52.63808023, 52.78248375, 53.52375392, 
##     22.93987852, 27.05002704, 27.57292277, 28.88422667, 34.87642327, 
##     52.98379447, 74.87866959, 106.1355401, 110.7955073, 113.4257727, 
##     115.0240448, 118.8740701, 120.7613337, 120.1909886, 121.1208658, 
##     126.064488, 121.3859668, 117.0165578, 114.6908002, 118.3119342, 
##     116.3155409, 115.2406653, 113.8456495, 112.5841636, 114.1129648, 
##     122.03617, 120.2524353, 119.9237451, 117.2666041, 116.0722194, 
##     112.7203789, 108.7607263, 108.9287251, 111.3249972, 109.5169357, 
##     108.4346584, 106.1799, 103.3625646, 101.4013157, 97.71046219, 
##     101.1094001, 92.98658452, 80.4424968, 77.77660044, 61.82924979, 
##     64.64381394, 64.7837674, 52.6147327, 50.3, 36.28468342, 42.08774323, 
##     39.67193904, 21.14353358, 30.72658247, 32.30501174, 31.43263523, 
##     31.27667219, 30.14744149, 25.39187843, 19.60128359, 22.47713586, 
##     23.44975785, 17.95573867, 25.02298304, 46.730234, 48.04397212, 
##     52.00533188, 58.77840077, 92.10948784, 96.5, 107.1180005, 
##     116.0636477, 116.6729858, 134.4251465, 126.4776345, 124.3551714, 
##     123.689572, 123.4018066, 110.6457513, 109.115694, 114.1504638, 
##     113.7263625, 112.7957288, 114.3187894, 116.2451212, 117.506599, 
##     117.7037132, 116.345199, 116.9294138, 113.8369141, 111.139011, 
##     105.0507312, 104.9833776, 101.9931966, 96.95226479, 97.11763586, 
##     92.09037505, 83.18712313, 78.38409458, 73.201745, 66.40802866, 
##     62.4730246, 57.04755209, 48.0392513, 47.84947545, 49.70747478, 
##     47.33693541, 38.18198167, 20.70290081, 17.20803151, 21.58284809, 
##     30.43974676, 29.81301908, 29.81320625, 36.4, 40.82396121, 
##     37.40525004, 42.11726911, 38.13621044, 31.69414062, 36.17895606, 
##     35.70105187, 32.14178664, 32.72654494, 38.25455898, 45.06717328, 
##     45.89314037, 44.63483326, 56.46866001, 58.98207953, 58.56513615, 
##     63.15835241, 94.34230227, 102.4170485, 104.2647405, 132.1807879, 
##     131.579829, 132.5095276, 133.0060601, 121.2915029, 118.9565011, 
##     108.2786021, 94.22093066, 88.15185438, 90.80177597, 90.40172213, 
##     85.45921082, 82.49387203, 76.95022007, 68.75617757, 67.6, 
##     -119.4, 28.41962964, 6.642115954, 29.11133661, 13.25515323, 
##     -78.53981634, -61.38494879, -24.45203938, 0, 0, 101.8485308, 
##     82.67988383, 113.6365702, 118.252394, 117.1857423, 119.6644984, 
##     125.5419129, 118.6602771, 109.7166768, 108.5205553, 101.8871706, 
##     102.7968058, 102.2727104, 100.0133137, 97.4765721, 98.78358481, 
##     96.25861832, 93.31987269, 88.63426814, 60.05933623, 66.47441244, 
##     72.36108086, 79.32465228, 78.08762275, 81.52655259, 83.61830342, 
##     85.30516659, 86.49293242, 90.14524335, 94.97285554, 106.6464257, 
##     104.1824589, 108.1154771, 108.5220486, 121.0971123, 102.1787638, 
##     98.5114937, 84.89194354, 97.59160123, 107.4141697, 103.1758517, 
##     112.1925, 110.0155825, 111.1875118, 95.20617841, 71.38790781, 
##     68.0045169, -142.9566801, -127.162988, -125.9166389, -140.6724322, 
##     -101.7641433, -78.53981634, -73.9974884, -56.67292175, -54.00669075, 
##     -56.74504753, -103.8324945, -32.46540101, 3.844259002, 7.48132784, 
##     19.72418933, 30.62773692, 89.42803581, 80.23813167, 90.49378247, 
##     89.76206311, 104.4086028, 105.1787713, 107.4823275, 108.9562649, 
##     105.3192073, 113.9223641, 110.0977219, 113.1553828, 110.994898, 
##     101.2410485, 103.9461672, 100.179859, 103.52126, 99.34891883, 
##     82.24238454, 66.63440629, 58.01218288, 62.07500487, 73.89246145, 
##     80.28516343, 93.45387275, 90.22955792, 94.63218831, 103.0992093, 
##     111.6733993, 109.9629815, 110.8838368, 120.7527495, 106.9216081, 
##     99.84708131, 96.33325179, 100.1088514, 92.86703882, 106.7129442, 
##     108.0620275, 104.6, 95.3840036, 89.32315756, 94.8125538, 
##     102.4845904, 38.41441992, -27.0549763, -83.24762404, -92.50146305, 
##     -90.91247685, -140.3145496, -139.3783181, -123.0031302, -116.4687236, 
##     -100.4067109, -100.6021577, -134.9208254, -137.9553601, -144.5898397, 
##     -147.1127674, -144.085661, -145.3687582, -77.33488044, 25.42639429, 
##     99.01593486, 109.3956759, 108.8501894, 117.4, 113.2645814, 
##     113.8833893, 112.4529697, 110.0831402, 103.393278, 102.483511, 
##     97.62601009, 88.33889011, 58.52074731, 61.08262647, 67.01450847, 
##     70.35920282, 75.74213055, 77.6902142, 78.43735856, 80.02954249, 
##     79.1692157, 85.95141879, 91.87321234, 98.38196867, 106.0173131, 
##     106.3797338, 108.5506043, 115.6561747, 121.7259945, 111.4642419, 
##     93.34288366, 111.879921, 104.8655038, 101.4228985, 120.1118881, 
##     116.3240493, 99.9458847, 92.98318768, 83.79887102, 74.85135686, 
##     63.60020723, 70.29916041, 71.35706545, 74.17256776, 74.61703783, 
##     80.16525048, 87.72427177, 89.93097178, 107.3691201, 112.3721786, 
##     118.0933845, 118.9758331, 109.7472605, 87.72869417, 116.1014163, 
##     -17.82391371, -24.36657673, -81.48269164, -119.6294004, -109.3420837, 
##     -98.79276094, -83.09669965, -122.2025323, -89.41676926, -63.65347114, 
##     8.113307131, 51.66828137, 99.45801392, 110.6130127, 111.6054331, 
##     117, 120.9954675, 116.4870571, 114.3581369, 112.475794, 108.5408455, 
##     105.7748206, 105.2366854, 98.11000361, 95.1251779, 84.46851264, 
##     79.57840307, 74.47195039, 65.91640058, 63.81505346, 65.82322645, 
##     69.7177809, 78.83956356, 80.79689423, 93.52374544, 110.9901668, 
##     112.5271754, 117.1761154, 117.8912285, 109.6461792, 115.3982646, 
##     110.7040572, 77.76463807, 87.1996942, 58.33014489, 105.1650213, 
##     32.17505544, 14.2435822, -137.3400767, -101.9510728, -98.9795962, 
##     -108.5488861, -113.8703403, -114.2018299, -114.2018299, -114.2018299, 
##     -95.85170696, -114.1358415, -102.7606751, -102.7606751, -102.7606751, 
##     -124.4417489, -120.7649317, -110.6770896, -110.6770896, -112.3086928, 
##     -123.3145073, -113.6, 88.26729065, 80.63321938, 84.84722813, 
##     93.0078508, 99.64572459, 101.6961491, 95.90232269, 83.20435868, 
##     80.87203361, 66.87617579, 60.33042662, 61.04565182, 108.8813668, 
##     8.476823406, 9.400303381, -35.42041058, 10.56054402, -59.08727501, 
##     -78.36680561, -91.26854629, -110.7148718, 31.99145539, -109.9258572, 
##     -121.0886566, -118.9557614, -122.7071417, -124.7809164, -123.7552026, 
##     -134.9, -141.2141065, -136.1450023, -125.9798046, -122.9817373, 
##     -140.2437935, -26.81069273, 16.77095405, 32.46540101, 63.10793875, 
##     78.41258974, 79.57206939, 90.09503748, 99.63311496, 96.81553411, 
##     106.0925222, 106.2882575, 95.22739435, 100.3182333, 100.8112225, 
##     101.0557701, 100.7865622, 97.30767946, 95.85072691, 102.1353484, 
##     100.2658252, 99.58221997, 96.05489465, 98.45173357, 87.67982258, 
##     97.56830135, 91.70972307, 89.58985399, 79.22294322, 90.09918355, 
##     83.19240154, 34.58227993, 4.215746149, -42.50793259, -110.7148718, 
##     -139.6747126, -45.91231765, 56.73334545, -136.2348833, -116.143393, 
##     -144.1885555, -145.7645345, -143.90424, -139.1435342, -136.8086389, 
##     -92.90500554, -29.76707924, 38.5277664, 35.02154177, 42.57905306, 
##     61.24113901, 57.43925278, 53.43359739, 63.4617935, 65.06636407, 
##     69.46846534, 79.57417335, 83.12490014, 85.21265974, 85.44570912, 
##     74.67514957, 81.1291979, 82.90486662, 84.3591832, 80.84851148, 
##     85.30025563, 86.9, 102.7699599, 97.65450541, 101.8139464, 
##     96.33073942, 91.19056634, 97.16671275, 93.99025405, 89.08070497, 
##     86.59714198, 88.02743168, 92.97407649, 86.42439989, 82.58001021, 
##     64.01541952, 87.67737286, 103.3022203, 88.63897382, 0, 13.14021734, 
##     -91.87210208, 76.89431188, 83.85958176, 39.23401442, -104.1304196, 
##     -147.789502, -131.7122231, -141.2780405, -140.6, -140.8618563, 
##     -133.3609522, -126.6976833, -131.2247813, -129.5873157, -74.33431746, 
##     -63.98932021, 0, 29.66452536, 44.28732347, 42.95518032, 69.17591327, 
##     65.20310456, 65.21058466, 67.94392265, 78.19498602, 75.61986897, 
##     72.81430131, 75.8403089, 76.42651113, 91.08928673, 94.87907266, 
##     93.34533225, 92.30029884, 91, 95.19427184, 98.14997732, 98.55336515, 
##     98.28966413, 97.18472716, 95.76632494, 90.93389291, 90.3864734, 
##     94.75007743, 92.75791441, 94.10996851, 93.23039655, 89.42756898, 
##     89.41888772, 85.39378746, 91.04446287, 90.06393529, 91.09378794, 
##     87.06817247, 76.75133586, 83.16074736, 78.8478265, 75.99355993, 
##     53.90559766, 27.11582614, 83.08214428, 76.36915264, 30.80675219, 
##     68.85977266, 20.99271129, 36.19518207, -90.9762506, -97.77249763, 
##     -35.80903573, 15.85306043, 33.23335118, -14.17385903, -24.49786631, 
##     4.328774995, 4.736908509, 0, -4.542327942, 4.752932688, -5.251051646, 
##     -6.193804083, -35.29903878, -16.48989946, -25.59709495, -4.995839572, 
##     -5.229466941, 16.51486774, -9.966865249, 13.4977879, 8.306948578, 
##     0, -41.87059796, -30.54819263, -65.96317263, -50.64446434, 
##     -35.34405427, -45.52409888, -44.89485735, -103.5593749, -114.1208007, 
##     -128.009583, -131.0810081, -108.7252715, -94.65791443, -94.15173469, 
##     -92.7597177, -79.42076396, -68.56780957, -75.97627549, -73.52987931, 
##     -75.41736529, -79.04279693, -82.1334776, -79.72304338, -81.5, 
##     -78.29116219, -72.30747418, -63.81236793, -60.81262429, -49.94727674, 
##     -46.26305724, -45.66054719, -54.12313143, -60.10962894, -65.31992781, 
##     -59.70836823, -40.72558481, -44.75199752, -54.04195003, -60.76912542, 
##     -54.33815685, -54.85417733, -23.95014225, -27.30565732, -32.79646388, 
##     -33.28106536, -35.40087672, -29.52679993, -38.86859646, -37.03970194, 
##     -30.25961362, -62.11021565, -61.55498286, -66.58131247, -63.00830202, 
##     -51.88716085, -53.43042238, -34.29734506, -32.57402962, -29.41700843, 
##     -38.96525515, -34.30239404, -38.92052626, -65.41846447, -54.92471089, 
##     -34.6288672, -39.6158819, -39.67086629, -37.24528242, -13.38843844, 
##     -34.01249983, -26.59320677, -19.50411802, -21.94072884, -14.90764784, 
##     -18.40546187, -27.3464218, -17.37039258, -18.47513931, -20.44647912, 
##     -23.24330015, -33.75327882, -34.78425171, -34.98905206, -36.72542341, 
##     -35.60903624, -27.1457684, -30.87833383, -34.28185185, -26.93954564, 
##     -37.77234758, -31.21125005, -31.73377614, -26.28439994, -24.09651389, 
##     -51.56221501, -50.77645259, -68.95323579, -57.34545202, -47.8441654, 
##     -39.1016513, -38.74509661, -37.158556, -14.7, -19.25016348, 
##     -40.9571262, -42.25358302, -39.12475494, -28.39306987, -29.84859387, 
##     -20.90574196, -28.56036497, -20.93447036, -11.123849, -18.44586879, 
##     -15.35111186, -24.66425264, -22.90187997, -16.92811333, -20.38001087, 
##     -24.57113499, -24.86108415, -17.5159492, -19.03148992, -26.07492966, 
##     -36.37295013, -36.04903002, -33.70842016, -26.62024086, -35.29244399, 
##     -31.43648504, -26.66544102, -37.51111007, -39.87083345, -27.99087627, 
##     -36.40081119, -40.46563685, -22.51339572, -25.20372218, -22.37493331, 
##     -53.71089839, -58.56605215, -79.34745502, -56.59567022, -64.98332192, 
##     -39.2779621, -50.20205113, -34.09607357, 3.775153428, -3.1, 
##     -10.63433232, -34.14407899, -24.49677867, -9.032596084, -27.49627553, 
##     -27.43859928, -5.448426644, -10.4669911, -17.82863058, -14.55305466, 
##     -15.18429031, -35.6680283, -41.1182081, -38.35424028, -30.26380374, 
##     2.233324553, -26.36783303, -18.78837691, 31.43820845, 30.78600825, 
##     17.2608048, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 126, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     126, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 126, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, 125.9931686, 125.9931686, 125.9931686, 125.9931686, 
##     125.9931686, -54.04195003, -101.6048265, -104.7518005, -104.7518005, 
##     -104.7518005, -104.7518005, -104.7518005, -104.7518005, -91.56386199, 
##     -80.02518332, -90.20308974, -90.20308974, -102.3234091, -98.34336893, 
##     -98.34336893, -98.34336893, -90.2675246, -96.45805025, -98.58638108, 
##     -91.94300531, -98.49987026, -100.1308536, -66.99557929, -81.71251129, 
##     -100.8124165, -93.11042378, -94.63218831, -94.81918313, -90.3865192, 
##     -94.89899004, -94.74369501, -97.93326643, -98.48587797, -96.75639196, 
##     -92.69212206, -93.19165747, -93.11137997, -96.36081863, -99.51115504, 
##     -98.3, -75.06521036, -133.1530341, -128.9900109, -53.49885001, 
##     -52.41962407, -83.96026347, -74.04557811, -50.64446434, 20.7776004, 
##     108.574654, 128.4744885, 85.08019114, 115.7105825, 98.48733966, 
##     86.63022626, 76.18600585, 79.13271561, 127.6389204, 122.151376, 
##     110.8466581, 116.337662, 93.1909055, 90.9204253, 95.39253582, 
##     104.2368646, 107.1139966, 109.8307208, 118.4093779, 132.398929, 
##     125.2185439, 123.3646802, 119.028995, 123.1503712, 118.554255, 
##     96.23773749, 71.99944154, 34.46514971, 15.82821675, -8.06697625, 
##     -71.83525053, -73.62207175, -95.19427184, -91.56886325, -90.09773356, 
##     -94.8528257, -108.4528794, -106.8331995, -92.81534991, -84.27875014, 
##     -82.65992371, -103.2268384, -72.13722876, -74.42746248, -104.0862072, 
##     -80.5815387, -79.01584915, -94.94668383, -97.75105687, -91.43434841, 
##     -96.38086627, -93.69714277, -87.94120786, -98.98501238, -102.2459066, 
##     -93.93288417, -92.90813854, -89.11111548, -89.49238809, -82.94837083, 
##     -83.76392263, -83.05043647, -86.3888266, -105.9302003, -94.53112866, 
##     -92.7960831, -96.29955741, -90.21327279, -99.45100204, -134.3669597, 
##     -4.669296788, -44.18393564, -124.0373679, -31.71831167, -40.12471419, 
##     -7.419298003, 7.338941909, 66.47334644, 33.96406612, 52.71429169, 
##     71.83525053, 84.38438238, 73.0588925, 95.50714567, 97.85344796, 
##     103.4325293, 96.70125111, 71.72958164, 94.17452713, 117.6620135, 
##     117.5783403, 103.5795241, 104.804452, 0, -10.80428526, 0, 
##     0, -70.08027019, -68.67528244, -80.70655942, -67.53439969, 
##     -95.12034844, -104.6897837, -105.8519609, -105.9581544, -113.585466, 
##     -94.32838391, -93.17294444, -95.30596641, -95.61046435, -97.60308526, 
##     -106.4306706, -100.3192114, -93.16855639, -96.84417589, -97.35693932, 
##     -97.29924466, -104.2897539, -104.2880576, -103.2103748, -103.2670567, 
##     -103.4616853, -106.8809912, -107.8886425, -104.106376, -96.27462085, 
##     -103.0199624, -107.9957313, -100.0597726, -101.3911081, -74.06519319, 
##     -78.05624981, -101.7200996, -101.7200996, -101.7200996, -101.7200996, 
##     -101.7200996, -101.7200996, -101.7200996, -78.02487418, -84.78169734, 
##     -58.64066432, 41.8, 74.75589163, 64.18410099, -19.71556135, 
##     -94.94977421, -93.34623485, -99.79577655, -70.65177522, 58.16965592, 
##     119.6480073, 127.8915177, 138.768551, 127.4833405, 99.66453242, 
##     119.5724872, 127.2297395, 119.6267458, 128.3395286, 138.796119, 
##     132.2987142, 109.9, 98.44172432, 118.9557614, 123.8433071, 
##     72.47111532, 9.258223702, -98.98378102, -104.891595, -97.04983759, 
##     -90.21962024, -88.74978847, -75.5200363, -89.79637792, -85.98782464, 
##     -94.73362879, -116.6765307, -116.1568319, -77.67910856, -97.24378821, 
##     -97.52840904, -92.00729055, -113.1697739, -106.0150221, -100.9401646, 
##     -106.4181849, -101.3850579, -95.92455653, -94.89422057, -100.1023024, 
##     -100.2148989, -103.2353034, -102.8778286, -98.78204522, -91.38100042, 
##     -84.67890983, -121.1777223, -116.694973, -109.3779985, -100.5767331, 
##     -106.5679517, -104.0558373, -85.96869342, -78.65100991, -69.24131884, 
##     -82.5789373, -106.192718, -88.38184806, -15.49223199, 60.90366098, 
##     102.5482586, 90.77330905, 66.89640743, 108.3370191, 99.37067263, 
##     85.67056282, 42.80956335, 39.42443751, 95.2, 153.5455708, 
##     145.4257985, 115.4663826, 94.88440309, 136.1802055, 146.6210084, 
##     136.5400938, 108.2659842, 78.12867951, 59.73521882, 48.83942039, 
##     52.08024172, 68.121883, 64.62138011, 71.4990268, 43.60814938, 
##     12.78054364, 50.0235387, -10.11878428, -16.69288047, -22.95176793, 
##     -120.9592571, -116.8855733, -88.50824799, -89.27715602, -92.51267969, 
##     -97.12385316, -105.0820447, -102.160985, -106.8168279, -104.5058045, 
##     -120.9351514, -98.44034154, -97.05797661, -101.191625, -102.774535, 
##     -96.45161209, -92.11807841, -110.9041883, -114.4795748, -109.3681519, 
##     -107.8055682, -106.7813764, -103.2785065, -103.243504, -113.1611451, 
##     -131.8242051, -131.0249448, -117.9292617, -104.3821649, -111.8120897, 
##     -112.4775381, -112.0580048, -101.804051, -117.3958973, -31.54587474, 
##     7.671539261, 19.73955598, -60.83906358, -65.38271988, 89.06514022, 
##     123.7536257, 124.7809164, 145.8596058, 136.3983422, 96.70125111, 
##     94.43916493, 89.11225079, 71.03660382, 135.4434273, 141.2780405, 
##     133.5251346, 121.9528199, 117.5199765, 77.55936135, 52.16056137, 
##     -49.54837847, -82.45396265, 20.89065412, -106.4168272, -134.9151673, 
##     -94.6042458, -106.2507393, -131.3557789, -110.4886093, -98.49987026, 
##     -113.8325681, -90.35599853, -68.0056961, -76.48929364, -119.506005, 
##     -113.1693879, -106.1074388, -99.26924531, -99.02506582, -100.6739643, 
##     -105.7, -26.81069273, -15.82821675, -61.54797087, 50.24148996, 
##     73.25045326, 92.85583109, 86.16938992, 145.3486302, 129.8243452, 
##     124.9045772, 123.1395063, 131.0193935, 134.4635719, 126.1603006, 
##     124.8858343, 123.0524509, 124.7177761, 121.8948796, 125.2978801, 
##     120.7956881, 122.7772386, 131.0072405, 114.5654566, 97.63319418, 
##     78.29105909, 73, -74.02239482, -88.81090582, -103.8493123, 
##     -75.59694104, -55.06069413, -112.6741979, -133.1406295, -122.9392847, 
##     -105.9875962, -92.69775724, -104.7397534, -102.451342, -92.25479106, 
##     -113.5758588, -103.1932018, -95.06053171, -101.2098956, -102.5482586, 
##     -99.25998482, -106.001193, -105.3777578, -98.21680311, -106.1056648, 
##     -105.6931892, -107.8762277, -104.6596843, -105.3562935, -94.80772001, 
##     -88.99718925, -95.72401813, -97.0924638, -103.0590838, -126.407572, 
##     -75.90702093, -79.2905953, -103.5795241, -84.59014912, -45.47292167, 
##     -48.50497869, -43.12864637, 120.3622493, 135.0179311, 98.27937232, 
##     118.2486438, 108.4603064, 119.5375429, 121.120116, 93.61184263, 
##     97.87719389, 96.34341052, 102.5932411, 110.1090899, 100.2913964, 
##     77.33488044, 30.12151924, -30.40558589, 72.97276562, -86.0459849, 
##     -87.32205491, -104.341197, -122.6116565, -110.4146706, -92.90500554, 
##     -100.8095744, -114.1, -108.5033806, -96.65863916, -83.69223625, 
##     -102.0637949, -103.4661262, -85.31474988, -91.10464732, -102.0047732, 
##     -103.9115305, -100.0213441, -97.97953872, -95.68704174, -100.3690063, 
##     -105.4211872, -102.9472192, -100.6357802, -106.0315086, -113.2918404, 
##     -104.9188214, -97.83877248, -89.6912248, -100.278673, -105.3764374, 
##     -103.8194879, -114.0750618, -107.1224437, -120.7956881, 13.65063112, 
##     13.53896255, -84.03029591, -62.90148024, -70.38403995, 5.046474418, 
##     49.69324908, 0, 29.00903244, 68.17981775, 95.68357638, 111.5582349, 
##     83.66341682, 51.30249217, 91.99268203, 99.2652208, 123.3646802, 
##     136.3365656, 132.9578696, 134.8269443, 121.9351533, 108.8283032, 
##     114.9687462, 126.8, 132.7275137, 114.7365495, 40.12471419, 
##     42.05343353, -33.04226479, -75.90702093, -107.76132, -127.6280048, 
##     -115.4663826, -119.7004152, -133.9628475, -123.7573169, -129.9954758, 
##     -118.9044015, -108.6962809, -97.85355973, -77.10939875, -92.26363145, 
##     -105.7751629, -118.7666371, -85.16603098, -55.72512738, -37.03877009, 
##     -84.43134868, -111.7, -92.92114537, -76.20837166, -117.0531896, 
##     -101.036699, -92.48915452, -90.641748, -104.9665698, -111.7198631, 
##     -106.939139, -99.66133031, -102.1114203, -100.2913964, -96.87545385, 
##     -98.31240991, -101.4161252, -96.72911385, -102.612482, -104.9886546, 
##     -110.3717697, -113.1524375, -94.52754655, -96.04610158, -97.39046698, 
##     -92.1753946, -98.23248789, -100.9435992, -103.5223929, -103.8660117, 
##     -109.1357158, -103.5214136, -99.37998758, -100.5183859, -108.218817, 
##     -115.3499487, -107.3831901, -90.28269148, -85.87186991, -105.8575765, 
##     -112.1322305, -90.73222628, -68.79172917, -57.42062189, -45.4068699, 
##     -30.6405218, -42.779982, -86.1, -75.39104412, -71.69543337, 
##     -72.0418501, -77.56327845, -85.03256774, -86.33521963, -90.00660711, 
##     -92.4290626, -94.15083202, -91.87090988, -80.52821703, -87.63857281, 
##     -87.35755228, -87.09671011, -89.22706925, -93.20536915, -85.8356524, 
##     -87.64908587, -90.37002037, -90.96364944, -90.49191673, 34.74514012, 
##     36.79169728, 40.32596974, 35.12635081, 33.21281979, 38.76774892, 
##     40.12471419, 34.20633244, 28.34560571, 34.8352971, 43.04203579, 
##     39.60605358, 42.7974324, 52.41962407, 84.34435135, 72.65829135, 
##     77.55936135, 83.80768283, 75.90702093, 73.5, 71.56003652, 
##     60.00260345, 60.65047484, 60.54888857, 74.88315479, 67.72423541, 
##     71.64772624, 86.58224562, 72.2431588, 71.88070914, 73.24960442, 
##     72.68829485, 71.1744122, 71.43729475, 71.35286581, 68.11624637, 
##     69.13980153, 67.35147801, 66.39502234, 63.84084066, 62.72731317, 
##     67.29029076, 69.23472208, 64.4609882, 64.30008773, 62.75092992, 
##     59.24398349, 59.80634, 73.1992897, 65.16820002, 59.94772849, 
##     68.20812936, 73.03419186, 48.72175104, 56.98161787, 61.90759655, 
##     68.45493414, 67.24545885, 68.26103295, 68.1332341, 66.84372513, 
##     73.77528598, 74.8663609, 76.11574125, 73.38027597, 72.87408889, 
##     70.0991635, 66.3, 62.47370481, 64.42120026, 67.49328506, 
##     71.4573774, 70.6159219, 72.86126128, 57.89118774, 58.31861628, 
##     59.80481721, 58.51836784, 58.34667117, 58.00280778, 59.2568236, 
##     58.90291801, 51.02701452, 53.5167609, 54.63372249, 51.68944733, 
##     48.13943671, 48.04073522, 52.23802155, 52.38194318, 56.7933793, 
##     58.81360576, 56.75857702, 51.23560808, 56.55488453, 43.78564991, 
##     42.47312675, 46.66745795, 51.94733715, 54.68445624, 50.57120845, 
##     47.43295456, 47.0811015, 49.6309751, 56.1815962, 58.01104037, 
##     64.95806713, 67.3126958, 68.26390882, 65.48216956, 62.47428419, 
##     61.47647448, 69.5, 71.77633125, 69.91063749, 68.55666354, 
##     67.59133183, 66.9076023, 60.28171254, 60.16355242, 62.3783041, 
##     62.43975282, 62.6138123, 60.05005966, 60.08092012, 57.24414709, 
##     56.28647576, 55.85566129, 54.30502811, 52.1466366, 53.2788689, 
##     55.54495156, 55.69089143, 52.50953518, 49.54217673, 56.05652533, 
##     45.7056811, 44.73785744, 55.16785529, 52.73834872, 37.4762993, 
##     51.40625486, 46.23218464, 44.79151308, 49.48149365, 51.19560385, 
##     53.50958772, 57.17810811, 61.95827884, 66.28209187, 66.96348661, 
##     66.92000419, 63.84131932, 67.38574796, 66.20649661, 65.94144647, 
##     65.55602772, 68.09239196, 72.95401, 70.71957872, 58.05149015, 
##     56.7756375, 60.62778863, 63.79185461, 65.59871774, 59.0639266, 
##     59.51781891, 58.57684081, 57.31258343, 57.18972138, 53.32092584, 
##     55.42872007, 56.50023278, 58.07702369, 50.18533096, 54.4883184, 
##     56.37077461, 53.0045529, 50.21238276, 56.96363345, 54.07558931, 
##     59.4575822, 59.79631231, 56.32467938, 34.94447156, 50.79439792, 
##     55.33828169, 56.58340165, 53.49885001, 58.23649696, 59.80739624, 
##     63.67054555, 61.08794629, 69.10991325, 72.25056126, 68.60939586, 
##     63.4940188, 64.44791413, 65.43728145, 71.31988104, 70.17131968, 
##     68.93661336, 71.65582387, 74.55470149, 59.48172507, 67.05952367, 
##     69.659668, 67.40049476, 68.37489638, 60.2, 57.52205192, 53.48227175, 
##     47.44658585, 54.62941669, 53.25525656, 43.19686639, 43.23752176, 
##     42.68833091, 32.75325422, 48.90143932, 39.04809709, 34.72187162, 
##     27.98093157, 32.41315763, 37.45991799, 39.6346332, 38.24583192, 
##     40.6578157, 45.79679498, 48.60302684, 53.04469787, 56.5418869, 
##     54.64554653, 66.840731, 63.98646546, 61.37660834, 61.05125601, 
##     69.43677234, 65.61242197, 67.15175091, 71.42247042, 65.73653464, 
##     59.36353245, 63.45841157, 64.58001038, 64.15319308, 62.20294911, 
##     58.98122582, 55.04045983, 51.11419197, 44.75292529, 49.86431328, 
##     52.82990752, 45.55202971, 45.07557482, 47.67256274, 45.5682799, 
##     39.20881856, 40.33299291, 36.26318899, 29.8774231, 25.33282374, 
##     34.45511834, 33.63910051, 35.42188601, 41.01530498, 41.50095207, 
##     44.81213701, 48.1436241, 48.3784374, 52.49221121, 55.36418065, 
##     61.83402936, 65.56771665, 64.5, 54.2133826, 53.56794173, 
##     53.4727588, 58.29101205, 62.48719291, 62.57847382, 63.9942182, 
##     63.00010969, 61.79140202, 62.47526974, 62.90730518, 64.83043663, 
##     67.53708377, 72.26661413, 73.78100855, 66.85051003, 59.51558802, 
##     60.45157123, 65.77851209, 64.87959014, 63.71127922, 59.63125244, 
##     54.86053662, 54.54592135, 46.26992912, 47.82025323, 50.25162476, 
##     50.10680847, 49.71723297, 49.81192965, 44.85126704, 46.22853209, 
##     43.24082852, 40.45576987, 37.83868929, 42.65506417, 42.93781122, 
##     37.66855142, 35.85585866, 38.84561354, 42.41727245, 39.76279915, 
##     43.94358103, 39.5162333, 45.03067208, 48.73254697, 43.46484742, 
##     51.13473474, 52.08242147, 56.78658952, 56.76047406, 57.1942022, 
##     58.05510369, 60.44727709, 61.4468586, 59.95084303, 58.86621619, 
##     58.44337567, 66.62692316, 69.82373004, 73.23534354, 73.40457099, 
##     63.97029867, 64.44260016, 64.39410211, 64.64098595, 58.16857891, 
##     56.78379962, 57.30245691, 50.59643994, 52.01375991, 53.30261144, 
##     54.54308089, 57.36706282, 59.18220179, 52.94836062, 49.46713024, 
##     45.82646502, 41.32030962, 42.5, 42.62364363, 41.02340533, 
##     45.3234032, 48.48207995, 41.56817607, 42.29268524, 46.93273267, 
##     42.00451494, 42.00451494, 42.00451494, 40.17975814, 40.17975814, 
##     40.17975814, 40.17975814, 41.42932588, 41.42932588, 41.42932588, 
##     41.42932588, 39.88950362, 36.33102636, 36.8636667, 36.8636667, 
##     36.8636667, 36.8636667, 36.8636667, 37.71321102, 39.55530104, 
##     39.55530104, 39.55530104, 39.55530104, 39.55530104, 39.55530104, 
##     39.55530104, 39.55530104, 39.55530104, 40.22044627, 56.72562833, 
##     60.12784939, 47.87695067, 52.38972507, 86.8008608, 86.8008608, 
##     85.23427262, 79.64545504, 70.74466152, 76.21122793, 76.21122793, 
##     70.08807315, 77.13994451, 85.93372011, 82.24691545, 82.2, 
##     60.2519445, 54.04862313, 56.41990111, 56.41990111, 60.2519445, 
##     54.58234813, 56.41990111, 56.41990111, 56.16013707, 58.36015753, 
##     56.57446853, 55.4659041, 55.82441814, 55.82441814, 54.43080586, 
##     56.23271266, 57.67535027, 55.03639679, 58.51743969, 58.51743969, 
##     58.51743969, 58.51743969, 59.52204066, 58.98948267, 58.4788303, 
##     59.70793253, 58.81375446, 58.38933179, 58.54367789, 59.85120449, 
##     58.92735514, 57, 57.05161587, 54.29035877, 55.83913786, 54.85580317, 
##     53.49736432, 54.29035877, 56.37208432, 56.25648403, 52.23040769, 
##     52.62204848, 55.39610675, 56.18544216, 54.0010583, 55.88827296, 
##     55.14058624, 55.39863606, 60.55062058, 61.81575145, 62.33811706, 
##     62.26488389, 60.74099229, 59.2137654, 58.67805109, 58.97069035, 
##     56.10546977, 54.94735988, 54.13087816, 54.8, 52.92989412, 
##     52.26204256, 52.25212511, 54.30470136, 52.08058417, 53.63578376, 
##     54.84933587, 51.19206635, 48.8521751, 49.66925787, 50.07449293, 
##     51.98556662, 51.39702735, 50.71495098, 50.10973746, 54.15483964, 
##     54.10315955, 50.8276698, 51.51170696, 51.7, 52.34228106, 
##     52.5813537, 52.48321488, 51.24404179, 51.88716085, 52.50949278, 
##     52.5813537, 52.86486147, 52.23913169, 52.08195405, 52.32661406, 
##     51.98462224, 52.26754661, 51.92323326, 52.36649151, 53.7121655, 
##     53.85706928, 53.26397053, 53.2542639, 53, 53.95006929, 53.70595673, 
##     54.29789035, 54.24703295, 54.54664153, 54.69420304, 53.70595673, 
##     54.64893779, 54.05480484, 53.09857167, 54.00244864, 52.62203357, 
##     54.54523685, 53.99721173, 54.23891339, 53.90102001, 53.25980263, 
##     53.90102001, 55.36931875, 56.17046443, 55.77128801, 55.38816608, 
##     54.79788688, 54.39077228, 52.79292442, 53.90775051, 49.69371556, 
##     50.34524936, 54.58802539, 53.96938739, 53.98359728, 51.85586008, 
##     49.14784962, 52.20684714, 52.3249881, 55.04686031, 56.0309685, 
##     51.14781961, 50.52607602, 46.06411976, 43.99502723, 46.71633737, 
##     46.55443259, 47.60686182, 49.09285676, 49.40829663, 51.10776735, 
##     50.75789856, 47.30127441, 46.87430237, 48.17705699, 48.72712329, 
##     48.04180398, 49.36743678, 49.39488917, 47.42754106, 46.41552397, 
##     45.95806963, 49.51760925, 51.86286211, 48.5549299, 48.53614762, 
##     46.66397141, 43.49544613, 36.99667143, 48.83204092, 69.86797219, 
##     73.35585854, 66.36766784, 66.52848537, 73.14748261, 85.45893219, 
##     85.62439694, 84.44300282, 84.87008607, 71.44292145, 72.93678995, 
##     69.70826553, 79.66773155, 84.84134622, 83.51589972, 82.29675677, 
##     84.59266364, 91.10890332, 93.3436583, 95.47979463, 82.45132037, 
##     80.15367024, 63.95516806, 61.43100929, 60.63106702, 28.93766191, 
##     17.58603956, 28.6390475, 46.89879798, 49.35248296, 51.57319408, 
##     26.12497098, 33.78722374, 39.97229597, 50.20253349, 55.0977514, 
##     71.1, 78.85810628, 89.21239105, 92.8118205, 95.29120493, 
##     71.0135848, 65.02809772, 89.11794697, 92.93462477, 94.77913232, 
##     90.78064324, 91.89829395, 91.54245336, 91.22516286, 86.66884963, 
##     67.67852997, 69.56503414, 51.39580538, 51.38078532, 46.39268628, 
##     42.01606556, 35.3, 52.42018234, 67.58688924, 51.85410601, 
##     44.25750226, 54.29035877, 70.24118039, 75.78110262, 80.37984948, 
##     85.59219646, 82.2989919, 80.91463255, 79.50525465, 79.03422594, 
##     71.01480645, 62.51288157, 74.40592412, 79.08024411, 99.37050147, 
##     91.1522477, 79.84340372, 74.28685115, 72.69606099, 70.81204139, 
##     73.17465233, 77.33119519, 79.11903796, 80.80338481, 82.79914045, 
##     82.72813158, 78.12830608, 72.8042553, 69.68753246, 67.69248771, 
##     61.12009841, 64.84895082, 69.13335149, 71.49890022, 80.2107188, 
##     16.85015757, -2.544249327, 10.25605481, 18.89210911, 28.52461989, 
##     49.89465971, 66.8489388, 74.58886846, 71.94006251, 46.31022711, 
##     36.68118584, 50.95121969, 65.43992875, 68.63488101, 71.28613967, 
##     79.50705207, 79.89139965, 80.20623679, 84.48764807, 76.19069242, 
##     70.36657685, 69.28909053, 69.77621912, 73.09916785, 83.82468376, 
##     88.56675119, 89.41234816, 87.41029305, 87.93124946, 89.35635961, 
##     90.72167169, 89.04157541, 86.46838791, 83.52754063, 79.26619582, 
##     74.09344117, 75.99187488, 72.01125887, 61.40621445, 63.55930948, 
##     56.06023018, 61.30769988, 66.26110235, 33.05522324, 42.49243693, 
##     56.61645379, 67.22117608, 58.15487696, 55.32272815, 51.32238751, 
##     58.84633011, 56.49037013, 57.57232539, 66.85651691, 74.2467789, 
##     74.11687975, 77.73966903, 87.29709906, 72.76252924, 77.73209309, 
##     80.15234715, 82.12187122, 87.76863444, 84.73169106, 79.11132966, 
##     83.1, 80.30393598, 69.68272009, 74.81235713, 77.57097541, 
##     84.04973226, 81.74652568, 85.39465433, 81.40015266, 81.65360911, 
##     82.07481727, 84.47097217, 85.44518788, 84.3712357, 80.77062266, 
##     79.55961064, 66.45908084, 68.57819447, 72.18265204, 60.8, 
##     34.69632528, 36.24696197, 66.49910058, 72.35264489, 67.95760854, 
##     47.65883358, 45.34805091, 57.80370588, 59.25115882, 72.87577803, 
##     84.72581592, 83.29741405, 77.19730306, 79.55753275, 78.31066448, 
##     73.88027624, 71.49452526, 70.0446853, 72.15679467, 80.78456647, 
##     81.64084116, 80.22737222, 81.12343952, 68.30553381, 75.56518333, 
##     75.9908812, 84.41333804, 88.9031703, 88.94906653, 84.54041915, 
##     79.86252894, 74.81761247, 70.57434327, 52.89061072, 79.59996644, 
##     78.55521746, 86.46019661, 91.66330756, 87.60580506, 86.97802968, 
##     87.61643253, 89.3793803, 84.33403183, 78.68095979, 73.07234655, 
##     65.31077647, 65.01346886, 65.80230367, 67.77458131, 64.18950525, 
##     76.67483893, 63.71457315, 40.51475345, 29.25020239, 24.96378046, 
##     38.22716502, 55.65017687, 56.27635585, 54.6421627, 54.05511801, 
##     50.18716082, 49.62171682, 53.8, 62.34104598, 81.86485257, 
##     79.23855466, 78.6056626, 94.87216702, 87.43252384, 91.49003314, 
##     93.433752, 94.03831648, 93.66384514, 94.08542374, 96.30920673, 
##     89.49001822, 87.90612186, 59.8, 57.40254432, 56.39141273, 
##     56.29469911, 56.59387881, 55.76265448, 54.47172275, 55.18619963, 
##     56.59783792, 57.91936019, 55.790704, 57.56513183, 62.17750766, 
##     60.72611743, 63.18409426, 67.8163168, 70.59632791, 75.25035865, 
##     76.6600508, 77.72041223, 76.218333, 71.65636385, 72.46768082, 
##     73.00315158, 72.33516482, 69.29782223, 67.91995017, 76.92297355, 
##     70.72175514, 69.2848829, 74.27510433, 78.57962854, 72.89878747, 
##     74.20877237, 74.55103165, 76.28421196, 74.5935518, 73.02687476, 
##     74.0033235, 72.86987365, 71.78626715, 72.66060469, 75.02552147, 
##     76.20443961, 71.19400286, 69.56778216, 72.59602158, 69.221631, 
##     72.01155576, 69.32369066, 69.69213762, 67.23245031, 66.31809704, 
##     65.43983988, 63.1, 63.91350283, 63.10062987, 59.75712107, 
##     60.24591409, 55.4982978, 60.17889358, 60.82209096, 57.51706231, 
##     57.40254432, 58.67997498, 59.65918938, 60.60618614, 54.97380317, 
##     51.79708384, 56.69175857, 57.70759121, 57.31362101, 53.99166071, 
##     55.45689328, 54.87405546, 54.26173613, 54.97334262, 54.09896332, 
##     54.26670186, 58.41080783, 57.69985077, 57.00862551, 55.68979044, 
##     72.38202403, 70.13990342, 66.02756107, 68.189741, 65.12344058, 
##     68.88685786, 64.49918275, 67.91823617, 70.7742988, 71.68567491, 
##     72.06541936, 76.20837166, 75.0793042, 74.17157257, 75.14541441, 
##     75.26104798, 73.91531681, 73.07649091, 74.99962372, 68.1, 
##     66.78567884, 70.07867013, 67.5192636, 70.08626103, 68.86872435, 
##     68.8871332, 71.38735502, 70.76910408, 57.33708584, 67.52853014, 
##     59.83972595, 54.51494428, 55.78744624, 55.91221335, 57.93629067, 
##     59.08101379, 56.87590623, 52.89744431, 52.03588975, 52.36169987, 
##     54.13423873, 57, 56.39426414, 57.09516852, 55.09775383, 54.73253096, 
##     52.8006355, 57.45120759, 59.17986298, 49.61899756, 53.57992344, 
##     67.72821876, 67.72532307, 64.3574591, 68.33047324, 69.06945202, 
##     70.32424777, 70.48012323, 64.79937464, 68.74743568, 69.44606324, 
##     68.58157989, 66.5, 68.58157989, 70.28408176, 71.91126343, 
##     75.60868201, 76.19367938, 75.57105449, 74.85426278, 72.38250053, 
##     70.88925495, 68.70872129, 70.45464772, 72.1726982, 75.68367035, 
##     80.50084804, 82.49754165, 72.31449674, 76.36416901, 72.48539812, 
##     67.84847864, 68.40472644, 57.43822732, 62.9, 65.50850952, 
##     63.86089172, 61.72434188, 63.2742542, 64.87947847, 64.07353798, 
##     64.76424982, 64.91690881, 61.09732152, 60.20371476, 58.02694322, 
##     62.30436524, 62.96819204, 61.14463356, 60.67843701, 59.44635, 
##     59.60808229, 60.90201245, 60.5, 63.55303123, 62.9707078, 
##     63.21734259, 66.6635594, 69.06945202, 69.91745984, 70.97727637, 
##     82.33493504, 83.25048466, 81.17246818, 81.64971684, 77.61417648, 
##     70.75063748, 76.49288191, 80.97243999, 80.96770924, 79.88676563, 
##     79.04600919, 80.83814928, 78.58147433, 83.53355288, 85.87487581, 
##     86.43720953, 85.870047, 86.25510585, 87.50718199, 90.27415092, 
##     92.64514838, 91.96217029, 90.66095869, 90.3, 88.56714181, 
##     88.58737297, 85.19458058, 82.2648894, 79.78293734, 79.26816231, 
##     77.95364383, 73.20453009, 73.4008251, 72.43484224, 74.44361398, 
##     72.4352068, 72.69091749, 77.49352128, 74.49446744, 53.34774265, 
##     53.52663332, 55.32479207, 51.93543163, 46.72833809, 39.60270201, 
##     43.42300383, 47.8, 23.97245735, 24.38075529, 22.22192596, 
##     25.06834078, 27.20541428, 31.06578056, 34.31755439, 37.91623846, 
##     38.54369212, 36.7096606, 38.97040635, 37.59376777, 41.84439218, 
##     43.29831552, 48.3518554, 47.6773591, 49.89333166, 52.25554787, 
##     54.31694178, 54.15601155, 53.25815481, 50.58127623, 48.36315231, 
##     48.84317157, 49.55474166, 46.5041512, 45.38933002, 45.4696056, 
##     48.75779784, 45.66813065, 47.83005792, 49.53083045, 47.76028265, 
##     43.90210033, 44.35524246, 45.11153314, 44.84955133, 29.41220572, 
##     32.2470559, 34.79341983, 31.37302641, 27.44399793, 35.31377897, 
##     33.77959223, 34.8, 33.37097712, 24.66418121, 21.80020749, 
##     18.78684403, 19.81407322, 21.42819568, 23.16287117, 22.24843836, 
##     21.72675047, 19.0263217, 17.47966673, 17.32246836, 17.81814766, 
##     22.75257529, 32.52013882, 21.33910015, 30.70684626, 26.87423884, 
##     27.67434847, 30.50618622, 34.7, 34.24683997, 34.97619067, 
##     39.25490037, 53.47626611, 58.40564735, 63.2011515, 76.41338346, 
##     91.74399674, 95.70212469, 104.4268489, 115.4319737, 117.9237522, 
##     118.6134155, 117.3567688, 117.0463008, 118.0356891, 113.5961845, 
##     112.271169, 116.3600932, 117.7229217, 114.5985248, 80.00971575, 
##     73.78345011, 69.13116938, 68.06009846, 69.61842792, 56.5668466, 
##     55.05921511, 52.91344276, 51.81276237, 49.49651553, 40.78017974, 
##     28.52835941, 20.45953869, 20.1350858, 26.85913514, 37.22920438, 
##     42.32992107, 42.22671184, 38.60534262, 31.6, 29.29249172, 
##     28.27098819, 28.59967771, 32.32476155, 44.25538945, 44.58633132, 
##     56.84717366, 61.1532039, 69.31076815, 93.89761537, 104.1672861, 
##     107.3376559, 110.2614825, 114.6196792, 123.3573881, 120.296392, 
##     115.6853252, 116.1624288, 119.0264309, 110.374403, 109.8252028, 
##     113.2483575, 116.9, 116.3825257, 116.2023379, 114.6225864, 
##     113.2124931, 112.7158817, 115.7405103, 115.4616725, 117.928467, 
##     116.097661, 117.9582641, 114.5246785, 113.8754994, 115.7561905, 
##     116.1645998, 122.6329498, 122.2619047, 120.1905534, 113.0285664, 
##     104.6296992, 101.7308067, 97.6582623, 97.9702543, 96.65332105, 
##     83.7, 80.84707134, 76.82296017, 70.77453742, 67.66280584, 
##     62.86260873, 56.84984661, 46.25217035, 48.43352821, 57.48450466, 
##     61.52033367, 53.34797559, 49.42699349, 42.80671887, 22.52343083, 
##     23.78785112, 49.00605533, 49.68879269, 45.57395999, 28.71464293, 
##     31.61585573, 34.30893541, 33.96682128, 34.01379501, 33.09314708, 
##     34.70364696, 36.67077796, 52.39192652, 57.2, 118.2286879, 
##     123.2719416, 122.1921885, 120.718981, 121.2048667, 118.4095972, 
##     119.820199, 118.4761529, 121.9836465, 122.6290393, 123.6316064, 
##     124.30669, 121.7400591, 120.0373642, 102.5017733, 91.46858186, 
##     91.25454617, 71.27773591, 61.84954908, 56.1377159, 53.67459775, 
##     50.6, 60.95447913, 66.840731, 86.70592887, 91.8047873, 97.12194527, 
##     101.0814924, 105.9693038, 110.8622627, 114.608245, 117.0828162, 
##     119.3072041, 119.6775955, 119.5262359, 115.1920664, 117.5323307, 
##     118.1737436, 119.9139433, 118.8, 105.2412357, 105.5447377, 
##     106.0695421, 104.7025976, 106.2772844, 106.3792177, 106.6265824, 
##     108.8304001, 109.7536954, 110.7817801, 113.6650458, 119.7922528, 
##     122.2690212, 122.2172048, 121.7389634, 119.6145068, 118.6810265, 
##     119.0643459, 114.3332014, 112.0925762, 109.3104586, 104.571826, 
##     102.6162438, 100.5243119, 96.8813149, 90.5265148, 84.7, 45.75156494, 
##     45.43188387, 43.8190147, 41.69327251, 41.620421, 43.38872169, 
##     45.23622115, 45.99358184, 41.20370685, 43.50568266, 43.02618588, 
##     42.42052508, 42.25898039, 44.00735011, 41.99461315, 40.19829329, 
##     31.42019083, 29.26630233, 24.90188237, 20.93487167, -40.0240657, 
##     -97.99201016, -69.68975774, -78.93301343, -75.90254877, -75.40388498, 
##     -103.2295536, -91.35222104, -98.02337587, -82.54158825, -93.12710783, 
##     -54.78620239, -44.50967148, -54.07322927, -67.68355186, -70.78209644, 
##     -27.26850231, -26.50262098, -46.80804667, -69.82661705, -65.17248991, 
##     6.840694146, -22.22309049, -27.36493109, -20.37620761, -17.74166668, 
##     9.258223702, -18.69017679, -26.74996432, -24.65855848, -27.59423326, 
##     -40.15019573, -79.36809512, -70.7, -51.78763573, -13.80021137, 
##     12.81182777, -36.16470088, -33.69873449, -13.8325659, -9.491077872, 
##     -34.00954802, -6.396025061, -1.068089202, -6.676468409, -5.538253547, 
##     -16.18771041, -45.79589175, -57.5397229, -55.29542826, -60.2994641, 
##     -68.26469203, -63.88271649, -66.88846407, -69.48339794, -61.56337317, 
##     -82.80371632, -93.32546285, -104.8198147, -96.67859724, -79.7854968, 
##     -71.87426741, -24.00283849, -70.05911242, -82.29681625, -78.51436529, 
##     -89.05213315, -95.33678272, -90.85196522, -83.83699664, -83.76369301, 
##     -70.87444748, -59.66100267, -56.89202895, -41.73135404, -64.79282978, 
##     -74.63484798, -45.01561508, -56.10738758, -39.98767027, -40.25928498, 
##     -13.22731733, -27.12569083, -16.48164413, -1.115688859, -2.141191827, 
##     -3.029221554, -13.4, 7.661997474, 9.122163295, -33.86664888, 
##     3.064576898, 14.88606164, 11.37133163, -12.12563058, -20.27634889, 
##     -19.92101821, -26.48476952, -26.02169524, -37.76065051, -47.98807349, 
##     -45.98922884, -45.28332449, -52.96331293, -58.4, -62.78353861, 
##     -61.4844642, -62.25357792, -60.76437002, -58.81588501, -100.4678914, 
##     -83.50061656, -77.45290846, -80.1174012, -75.46902822, -63.31581166, 
##     -67.16837428, -88.78766492, -100.2644349, -82.67560007, -97.64677274, 
##     -93.83479025, -88.35479869, -95.69029517, -82.80067902, -94.34990866, 
##     -59.38903766, -58.44300733, -43.41848113, -84.82980605, -76.32590419, 
##     -57.24779775, -69.16181229, -54.56986131, -49.7, -89.02516006, 
##     -85.37999131, -84.53309294, -88.89837647, -96.74978189, -100.2182216, 
##     -93.4132165, -89.81595126, -88.85187811, -90.20485617, -94.85018451, 
##     -62.57223707, -69.46088926, -46.06918172, -57.22220165, -79.35682988, 
##     -73.01578969, -85.18306653, -11.02496344, -64.25482398, -86.09816964, 
##     -51.3, -95.6627169, -107.6070517, -112.3292913, -70.779357, 
##     -70.33308281, -44.29888476, -7.746905685, -4.071752516, -77.96353239, 
##     -76.6809811, -94.76785009, -97.15523974, -104.5368877, -99.15958104, 
##     -90.20519344, -94.71944568, -60.12784939, -50.51237152, -37.89130134, 
##     -44.85932234, -38.86522134, -46.87677312, -69.31563776, -83.43301727, 
##     -66.3211403, -36.11596809, -17.76673091, -40.09806376, -81.60999118, 
##     -44.42596064, -29.82277587, 6.999072456, -12.93854959, -10.91311171, 
##     -7.270731373, 1.132664337, -42.4670928, 5.660419599, 10.12710866, 
##     -43.76293806, -52.31983014, -48.84021943, -35.54979925, -55.15665224, 
##     -50.69998719, -42.8, -61.52817781, -11.59380209, 14.49599199, 
##     -15.96231044, -61.99065748, -62.82123076, -69.08811096, -75.64923708, 
##     -76.18210911, -75.47683194, -67.49045635, -85.16989796, -92.02270488, 
##     -83.69163047, -52.99565809, -88.4511715, -93.99201007, -101.6385513, 
##     -71.11377797, -96.74565944, -97.03527311, -108.8098454, -93.28916461, 
##     -74.073538, -98.3, -97.64543658, -61.30476877, -59.41500817, 
##     -70.2051868, -25.27023944, -60.84527983, -61.22717535, -46.36110903, 
##     -12.72162171, -21.99058634, 41.27926599, 65.62757985, 45.54094782, 
##     -37.09965709, -28.8, 73.27192818, 75.74119276, 68.0266316, 
##     59.08543105, 37.76636234, 34.66565118, 41.469017, 54.39661812, 
##     48.57958854, 50.69141342, 47.55314125, 49.16545413, 50.65529956, 
##     52.53243415, 49.21581412, 47.86884312, 42.35119075, 50.5678859, 
##     59.47739649, 57.63805975, 50.96598276, 50.04938631, 52.95217246, 
##     52.9747748, 51.76314011, 52.42154754, 50.08746921, 48.28024505, 
##     55.09294114, 53.43042238, 54.64002902, 55.72188908, 55.80056985, 
##     53.89104772, 53.68279755, 55.81388062, 52.72003822, 53.74131702, 
##     55.39260358, 54.03276504, 53.79411639, 53.80103879, 54.88228359, 
##     53.59629024, 54.39469562, 53.74131702, 53.23159004, 53.9413159, 
##     53.33543228, 52.87089743, -104.9171897, -96.90736185, -90.97859858, 
##     -93.26095591, -110.3405553, -105.9948704, -97.26445758, -110.1535178, 
##     -114.8915567, -110.4820752, -96.4201308, -89.10884779, -94.8972039, 
##     -99.16543226, -95.16467359, -92.71500881, -105.3866843, -121.8522618, 
##     -125.2593468, -117.3805918, -127.6280048, 52.2043831, 45.73288922, 
##     37.16268503, 40.44125734, 38.19839928, 45.7636187, 50.415157, 
##     51.66392014, 48.66069688, 41.76198175, 40.35324022, 47.13126277, 
##     51.17291308, 51.8323954, 55.86650515, 60.9042059, 75.1104128, 
##     77.69060643, 80.87117191, 81.67221676, 77.42869287, 79.65711779, 
##     80.82034356, 82.00518286, 78.2, 92.42831789, 91.94843212, 
##     90.33267021, 87.77643748, 84.55332511, 82.3108461, 84.20470959, 
##     83.89634349, 92.10659498, 79.23394533, 66.75156615, 71.14591257, 
##     73.28263773, 62.4354353, 69.43107053, 59.04002732, 58.27809378, 
##     52.12356389, 53.61252899, 54.31906552, 54.87426516, 61.68085117, 
##     58.96467484, 59.46000027, 54.58675103, 50.62557623, 84.91534435, 
##     85.42133394, 87.792777, 83.49100423, 86.59520326, 93.76901884, 
##     63.72251739, 70.23312061, 66.8584337, 65.54471702, 59.37882192, 
##     61.04727513, 64.94931269, 56.25864547, 42.89328556, 37.45703018, 
##     59.09941536, 60.2488829, 54.076851, 63.31428914, 59.95533927, 
##     50.74361168, 46.45627996, 67.847122, 71.37452895, 74.93844945, 
##     54.99094334, 53.64739688, 52.95413548, 52.5523618, 52.25046571, 
##     52.24679063, 51.38085412, 51.53666144, 52.2322181, 54.09984948, 
##     54.09984948, 52.49415327, 51.379444, 51.72448723, 53.33856578, 
##     54.44142859, 52.30420566, 54.039936, 51.5795359, 52.19034611, 
##     52.89492285, 53.44163145, 53.99721173, 53.59629024, 52.69547586, 
##     51.82589423, 52.04740089, 52.04740089, 53.8, 75.12997164, 
##     65.00841368, 61.14286288, 59.86733817, 60.13776367, 60.96319427, 
##     57.84062056, 64.95332111, 62.89252703, 54.16368728, 60.41164515, 
##     60.41164515, 60.41164515, 60.41164515, 60.41164515, 60.41164515, 
##     60.41164515, 60.41164515, 60.41164515, 58.42463142, 58.42463142, 
##     58.42463142, 69.53884013, 67.083647, 60.6313277, 65.11073068, 
##     53.68913116, 49.84292952, 47.0309463, 53.09486916, 49.51695339, 
##     50.52704819, 43.43735372, 40.7126956, 46.76693289, 48.6315076, 
##     42.93781122, 39.95979488, 43.52830788, 46.97448194, 43.6891672, 
##     41.37609429, 45.94368824, 47.8641356, 47.10673639, 45.21812751, 
##     50.00499121, 52.13580776, 55.6289089, 58.5189952, 61.73278615, 
##     63.39711192, 61.02026757, 61.91838241, 66.71319008, 69.43987772, 
##     68.63846432, 71.65889547, 69.4302393, 67.48741113, 65.45242232, 
##     69.47158591, 67.10292881, 66.2743665, 66.24803033, 66.78205324, 
##     65.35536238, 60.06100905, 63.87656547, 63.1599265, 56.94048884, 
##     52.10612715, -36.74359827, -46.34677142, -70.81531344, -67.77189084, 
##     -75.18731418, -102.0015047, -85.66104675, -111.4924073, -90.81616971, 
##     -77.38017816, -102.9705186, -70.94893314, -55.64314608, -49.05557484, 
##     -37.58043569, -35.14867738, -47.1032716, -77.72026745, -73.43286406, 
##     -61.78828013, -62.0163704, -58.73125808, -61.43617522, -66.1197875, 
##     -35.14135852, -22.21927999, -8.66314723, -1.052592703, 44.44100587, 
##     13.16110392, -34.11018736, -58.00013189, 20.04959605, 28.16941913, 
##     8.774993177, -9.292511952, -21.7380479, -15.60051981, -7.999270895, 
##     -11.90211897, -12.24570402, -7.912435614, -3.403163539, -17.7598108, 
##     -28.23756548, -46.21427139, -46.43025954, -60.87132399, -52.17219267, 
##     -47.06271114, -24.87720888, -69.79788043, -65.4, -8.091283459, 
##     -9.27098635, -23.27586168, -35.67239987, -48.51803196, -40.77628387, 
##     -36.74168369, -12.46461826, -22.12052588, -25.74933131, -20.5914698, 
##     -46.44383884, -54.84886781, -56.38762328, -79.1560444, -78.27083716, 
##     -78.17348888, -87.35128723, -74.86818047, -77.51251722, -91.19804584, 
##     -110.1221374, -75.76547577, -74.57838429, -72.55036106, -83.27282989, 
##     -90.64662888, -93.15948121, -91.79060997, -85.43813701, -74.99377788, 
##     -4.228919413, -38.5074486, -58.09535541, -71.78233683, -107.6559311, 
##     -110.2687317, -86.54303164, -95.12072341, -86.97442853, -68.91423613, 
##     -35.57685785, -54.34337312, -55.18210106, -60.30603006, -85.70982469, 
##     -67.89832091, -55.85993153, -17.59023396, -23.3352094, 10.09092593, 
##     3.152659311, 2.302860031, -4.663580961, 14.98175863, 3.771273668, 
##     11.38655233, -25.1700911, -7.268575225, 22.08432975, 0, -13.55379796, 
##     -5.653088706, -23.35008358, -31.2267148, -83.25806188, -94.51024234, 
##     -88.5674214, -106.4758685, -102.6087623, -98.09416651, -41.05321249, 
##     -142.2972695, -135.6070374, -136.6562428, -129.3756488, -139.0556559, 
##     -142.3510615, -10.48769387, 8.920534355, 61.34161149, 84.90473899, 
##     79.49054875, 69.2055008, 76.18902016, 90.26593509, 91.28415197, 
##     96.81553411, 95.97991414, 93.86146041, 100.6276785, 98.59719416, 
##     96.92940173, 106.4020508, 103.7362684, 102.8724654, 88.55697706, 
##     88.80087662, 89.26736196, 86.90517827, 87.05332693, 83.54667229, 
##     80.99554966, 82.3608123, 78.7640084, 73.58366012, 73.42863068, 
##     78.73426848, 79.29878369, 69.19213822, 66.78474304, 72.71502707, 
##     87.25587176, 82.37123393, 49.67613909, 15.47161531, 53.49973412, 
##     -140.3861219, -74.9998823, -26.28439994, -33.71413291, -37.97424052, 
##     -143.5, -61.18300867, 90.5525548, 93.50047233, 107.7708121, 
##     105.7293688, 98.32408617, 93.09283573, 76.88152385, 76.43691485, 
##     80.28733715, 85.10996346, 92.73628555, 96.80071738, 97.81489511, 
##     94.9071641, 92.32601599, 89.64308727, 89.29319848, 90.18438224, 
##     93.19546828, 91.84325283, 87.20642154, 100.4821717, 111.7670403, 
##     80.69033031, 46.2264958, 57.72339243, 61.47535397, 82.45396265, 
##     9.682486775, -116.8886757, -91.269482, -136.1802055, -126.2359642, 
##     -131.3472612, -148.8167559, -152.0331583, -124.1480907, -141.3524964, 
##     -140.7343476, -143.4162652, -40.12471419, 107.2638546, 104.1379885, 
##     97.21162887, 110.2074026, 113.5639361, 118.7619729, 122.777117, 
##     121.9, 121.9556378, 123.6125211, 115.4216991, 116.6526071, 
##     111.5234006, 113.911656, 114.9860866, 122.4341747, 119.3827489, 
##     121.8979797, 122.4316153, 118.7049731, 53.67308358, 51.74009925, 
##     49.0868645, 46.15676853, 44.45520649, 37.83570125, 31.13560806, 
##     31.37462587, 38.60997832, 36.41317954, 35.15281119, 30.0602838, 
##     22.86332648, 20.8), pitch_dumbbell = c(-70.49400371, -70.63750507, 
##     -70.27811982, -70.39379464, -70.42855971, -70.81758832, -70.24756905, 
##     -70.34768359, -70.42520377, -70.85058796, -70.63750507, -70.45974712, 
##     -70.81758832, -70.99594236, -70.67116245, -70.25176373, -70.10639112, 
##     -70.3903701, -70.28271016, -70.34768359, -70.81758832, -70.42855971, 
##     -70.63995378, -70.7, -70.49400371, -70.31304585, -70.49031927, 
##     -70.49400371, -70.49400371, -70.67116245, -70.34276829, -70.84904, 
##     -70.28683115, -70.67355141, -70.63995378, -70.28271016, -70.63995378, 
##     -70.39675962, -70.49400371, -70.28271016, -70.31304585, -70.63750507, 
##     -70.36176881, -70.63995378, -70.58765444, -70.28683115, -70.63750507, 
##     -70.60607434, -71.41795984, -70.32648299, -70.07065749, -70.4, 
##     -70.75201249, -70.78431067, -71.46548346, -71.02860105, -70.60607434, 
##     -70.78551893, -70.99594236, -70.45974712, -70.81598707, -70.42855971, 
##     -70.60607434, -70.45974712, -70.81758832, -70.81598707, -70.46303572, 
##     -70.81598707, -70.84703902, -70.81758832, -71.23827887, -70.78431067, 
##     -70.99624864, -70.91432223, -70.19486698, -70.5, -70.63995378, 
##     -70.45974712, -70.85058796, -71.0587115, -70.81598707, -70.87987135, 
##     -70.73491752, -70.88181726, -70.31304585, -71.05981082, -70.70175536, 
##     -70.91243032, -70.75700408, -70.70175536, -70.52436046, -70.91243032, 
##     -70.30805328, -71.09066201, -70.3771972, -70.15975885, -70.1009715, 
##     -70.67355141, -70.52436046, -70.69850444, -70.76108375, -70.41134345, 
##     -70.52436046, -70.3771972, -70.13067278, -70.52027361, -70.70175536, 
##     -70.81758832, -70.49031927, -70.31756075, -70.55410345, -70.20100811, 
##     -70.76108375, -70.1717217, -70.31756075, -70.63750507, -70.46303572, 
##     -70.10639112, -70.52797703, -70.67116245, -70.28271016, -70.33736693, 
##     -70.52027361, -70.21607571, -70.03973325, -70.70454033, -70.63995378, 
##     -70.27811982, -69.89446597, -70.91576678, -70.91576678, -70.91576678, 
##     -70.91576678, -70.91576678, -70.91576678, -70.91576678, -70.91576678, 
##     -70.91576678, -70.91576678, -70.91576678, -70.91576678, -70.91576678, 
##     -70.91576678, -70.91576678, -70.91576678, -70.91576678, -70.91576678, 
##     -70.91576678, -70.91576678, -70.91576678, -70.91576678, 16.23391547, 
##     15.95869629, 17.48204333, 31.90242941, 31.90242941, 25.68139174, 
##     19.46523119, 17.43114302, 17.43114302, 22.33063829, 23.24646846, 
##     27.6039401, 29.1380372, 29.6, -62.3470018, -36.07828575, 
##     -21.97222611, -8.179190334, 7.732937594, 37.60114853, 19.72604823, 
##     23.62425587, 18.71240629, 6.598193217, 30.91709584, 23.57896603, 
##     21.60333891, 12.82545526, 18.0626014, 16.63620836, -1.122910524, 
##     22.28477886, 23.44968017, 15.43656415, 13.0229409, 17.55883586, 
##     7.265442432, 9.583718772, 14.52588487, 20.90487645, 21.08562974, 
##     16.04244826, 15.02480607, 10.52014379, 1.101787632, 4.476989256, 
##     7.508824506, 16.47883874, 21.1695613, 17.79833095, 14.18907058, 
##     12.75215819, 16.12691755, 14.04260799, 11.8378286, 12.13865161, 
##     10.06890624, 12.22910194, 16.1, 15.2586839, 12.1012718, 9.580194295, 
##     12.37114137, 10.63133197, 9.850136518, 16.72049092, 23.56194865, 
##     9.658481907, 7.151182966, 9.096035692, 14.04543456, 21.23199002, 
##     14.76083979, 13.35356588, 5.958438422, 8.459743742, 6.862530311, 
##     11.51619152, 12.80587357, 15.6119859, 14.45070227, 12.85398538, 
##     14.68777007, 17.57010908, 15.28721363, 14.70894042, 14.23051577, 
##     14.57294513, 15.14885713, 17, 16.85142129, 13.36584334, 15.67404186, 
##     16.45826925, 14.93468096, 23.49008857, 15.82701621, 12.37114137, 
##     7.839129646, 6.656515393, 4.727371449, 15.92435416, 12.03265188, 
##     13.46749843, 17.60200546, 15.1525554, 12.58081594, 12.80587357, 
##     13.45194696, 12.61690808, 10.92510822, 15.20690614, 14.9419965, 
##     14.67019776, 13.6137931, 11.76647778, 12.4663375, 15.71708975, 
##     12.89629309, 13.74769487, 12.62047493, 11.65880241, 11.90932019, 
##     13.05924444, 13.21485644, 15.33998501, 13.88631026, 10.98596389, 
##     12.9275004, 13.05134434, 16.74399565, 15.03110155, 13.22579446, 
##     12.25648134, 15.87645794, 16.48300781, 13.65063112, 15.56295018, 
##     16.10484384, 18.43343145, 16.9289527, 16.79212321, 15.17580312, 
##     15.62985399, 15.97109486, 12.31771323, 18.94713735, 14.44869087, 
##     16.68180314, 14.31842006, 21.53225411, 19.10557965, 19.05650281, 
##     19.36683616, 17.16550405, 20.33045613, 19.24886557, 16.7558234, 
##     21.00662496, 14.48367445, 20.21199158, 19.33323906, 30.7, 
##     23.82472522, 28.40114885, 25.56151942, 27.82105971, 33.82881087, 
##     13.76655852, 27.78601775, 32.8938578, 16.63574613, 21.83428794, 
##     34.16154906, 37.06052282, 34.69074839, 26.86141313, 24.00478118, 
##     16.71553921, 20.76010105, 30.76338974, 19.96885137, 28.16475592, 
##     23.32815187, 24.35080889, 16.49225847, 36.53148581, 18.70697645, 
##     23.44327891, 37.03000836, 26.52573738, 32.53384171, 20.62704424, 
##     4.87169735, 16.34961205, 12.54030871, 9.375532848, 17.30245134, 
##     30.10961574, 43.11442097, 48.48495674, 3.917867714, 9.293200834, 
##     20.90487645, 25.87625334, 21.40002026, 15.92198847, 16.84149464, 
##     16.76515334, 19.01149974, 15.9504466, 11.51619152, 13.98433908, 
##     14.41063323, 19.51089951, 22.36079684, 19.24975722, 15.07963648, 
##     13.74198321, 13.35853973, 15.13480432, 19.3287113, 14.88606164, 
##     17.66567142, 20.72622698, 19.9794191, 15.32956714, 32.35793784, 
##     5.153636305, 2.242853548, 25.80803229, 23.26108423, 32.86025154, 
##     31.16994285, 19.63942104, 14.10592256, 31.73876826, 34.09739688, 
##     33.26110149, 22.49751639, 24.20972947, 18.31346174, 23.06752043, 
##     37.40830571, 27.95691167, 22.56565297, 18.95691612, 17.43055475, 
##     26.26392519, 26.5, 24.78759922, 18.51517212, 16.33564596, 
##     19.75555667, 22.76131931, 25.72283222, 21.39014477, 32.89587727, 
##     28.37532037, 30.18008626, 31.83055814, 20.02037761, 35.83307347, 
##     34.93973733, 27.42934794, 23.69505313, 25.49334289, 20.72175762, 
##     29.64287339, 41.10062878, 46.33007781, 40.11180669, 38.50899672, 
##     41.98206201, 41.30394432, 34.53565673, 25.9903455, 24.03347613, 
##     35.93746806, 36.46991252, 33.20064483, 25.94953259, 23.60054661, 
##     19.30669331, 29.55638428, 15.80802256, 34.46024001, 38.96213154, 
##     34.51576498, 26.92126175, 15.28721363, 29.52928554, 24.08330463, 
##     11.74637615, 22.31781499, 18.45543226, 22.517054, 25.25512546, 
##     21.35604335, 42.20904076, 28.7537902, 31.64365776, 31.02680587, 
##     29.07547537, 26.80953608, 14.74371641, 18.61959362, 20.59308865, 
##     15.73595838, 19.85934626, 24.22743681, 29.1, 25.83081541, 
##     26.55354257, 23.49661837, 24.36391929, 21.61384063, 25.71058301, 
##     24.69191322, 24.61486571, 22.34862204, 22.26304342, 25.50526321, 
##     23.80386221, 25.5, 17.09967307, 24.09138184, 32.11359509, 
##     30.20873203, 29.7163868, 35.37031461, 37.06224499, 31.57014197, 
##     27.53713414, 31.71786971, 32.64057075, 16.45884779, 26.03568503, 
##     33.47368373, 32.47920328, 35.30799297, 33.92322987, 40.66280758, 
##     48.578025, 46.42564505, 33.97557739, 31.61555798, 23.84480231, 
##     31.70660757, 21.28864208, 25.29713206, 22.08501682, 21.60263697, 
##     32.71082654, 28.6, 18.62786564, 21.74724322, 23.24964794, 
##     24.28493848, 18.77894596, 26.08727984, 25.4858759, 26.62637982, 
##     32.83109784, 26.86832859, 32.50411456, 18.41526224, 18.65094611, 
##     43.96760389, 47.08785509, 30.47960843, 33.97281426, 10.94720798, 
##     44.15773421, 48.42770952, 47.92884068, 48.23011268, 42.5086309, 
##     38.60756752, 37.64348721, 27.5, 26.83482362, 29.28712634, 
##     29.22416065, 25.4079804, 23.31622387, 40.83265752, 43.87526156, 
##     33.64314869, 17.66598251, 26.90997806, 34.32036407, 24.31812528, 
##     21.12095732, 18.27110063, 27.79017839, 32.12204063, 27.56427992, 
##     23.79564032, 26.74898715, 38.5, 29.14567945, 31.09982806, 
##     40.47697067, 36.55687733, 26.79720784, 17.69867608, 19.89571083, 
##     28.83637202, 25.93664308, 24.99639567, 19.47206442, 25.50526321, 
##     27.1123044, 35.87494449, 22.15443344, 19.91335712, 26.6961449, 
##     29.08470935, 23.43681688, 26.09051671, 26.39812889, 38.53705973, 
##     39.19475255, 45.74594332, 41.6558467, 43.24077756, 34.74514012, 
##     37.93146921, 23.2, 20.2964583, 38.86213652, 40.12471419, 
##     31.46957653, 31.45769414, 24.72085248, 30.25052304, 31.54042233, 
##     29.91951827, 25.09829164, 48.81096669, 22.50193831, 25.36740961, 
##     24.18421479, 34.97360321, 38.64988563, 31.8, 38.35048845, 
##     40.0370806, 39.261642, 43.75878888, 50.04761464, 43.26190002, 
##     40.1791989, 50.62288976, 50.73534731, 47.58775435, 51.73626771, 
##     42.58719052, 35.73345753, 37.44612844, 23.49822039, 34.81018435, 
##     41.09441868, 30.63924259, 45.67263707, 34.53594307, 24.80288505, 
##     53.71089839, 17.19341507, 13.16182512, 34.97380577, 40.17184726, 
##     45.213396, 33.68595595, 22.72816186, 17.54716722, 24.67824447, 
##     29.55333344, 24.23534907, 28.11663889, 34.2822115, 33.76043274, 
##     33.70164417, 38.43651753, 45.16334411, 45.0171189, 48.51588134, 
##     29.25822969, 18.66718413, 39.47172779, 60.49302289, 54.90039185, 
##     48.3, 32.96132731, 49.89384927, 37.14038031, 44.52456429, 
##     47.93928089, 34.30014978, 21.09109144, 32.76715535, 36.87403613, 
##     18.45666021, 14.59858907, 34.46473156, 31.51000498, 13.59901286, 
##     21.66342912, 31.94060859, 42.46191101, 29.97490145, 36.76704798, 
##     46.50943836, 50.91696549, 28.42789714, 33.61245569, 23.5805406, 
##     36.56347126, 50.21518702, 56.3834252, 9.998644764, 51.25332716, 
##     -2.41972865, 16.11504353, 32.1729298, 55.91411041, 5.550534412, 
##     21.16487903, 32.82652386, 35.9943065, 29.68011061, 32.05246107, 
##     26.99378774, 24.37743696, 21.12532127, 17.99343624, 33.31427319, 
##     31.72140762, 33.84442071, 36.44509311, 28.42305893, -28.4389494, 
##     -29.85229144, -28.45459952, -27.64513253, -26.55784243, -27.64513253, 
##     -28.25346154, -28.92814789, -29.96617666, -27.41590005, -26.9695719, 
##     -27.57279179, -27.10844456, -27.7667856, -27.29385225, -26.9695719, 
##     -27.37963308, -26.43025649, -26.16467661, -26.23430509, -28.33643944, 
##     -27.86870068, -26.58092856, -26.95364847, -27.44438756, -27.31225488, 
##     -26.91632593, -25.87237282, -26.7181334, -27.58105628, -27.77664254, 
##     -28.89227014, -28.47494196, -30.28756779, -27.80928817, -26.11535444, 
##     -26.58092856, -25.96243712, -25.44482685, -27.43927498, -27.24586995, 
##     -25.30136083, -28.04503647, -28.86768547, -26.76114833, -25.98604762, 
##     -25.84134514, -24.01754646, -24.87145913, -25.1894207, -25.897253, 
##     -27.59919318, -26.25185433, -24.18129172, -23.37367153, -22.6, 
##     -21.40296025, -22.3553538, -23.37367153, -25.91801896, -27.93816117, 
##     -25.36346924, -25.23831064, -25.63547129, -26.07521196, -26.17419034, 
##     -25.51178979, -25.36630323, -26.05215502, -26.28243783, -26.73696797, 
##     -26.30850169, -26.23303396, -25.21051061, -25.08556274, -26.00394507, 
##     -27.1898999, -26.67216254, -25.5, -25.59496873, -29.50860325, 
##     -28.46364385, -27.12685774, -26.92098389, -26.91438306, -27.78350575, 
##     -29.11615556, -28.79728107, -29.55912888, -29.04110045, -27.76164701, 
##     -28.82468795, -28.78809963, -29.10885199, -27.3689496, -29.06695467, 
##     -30.07071655, -29.32804824, -28.81825687, -28.63334749, -28.27240055, 
##     -28.96617354, -32.10148793, -26.43655398, -25.83226802, -30.68730705, 
##     -29.25273497, -28.6244552, -26.68643423, -25.4769901, -26.79021589, 
##     -28.07209777, -30.05672654, -30.00074166, -30.15582516, -30.69003647, 
##     -29.84054819, -28.86342991, -29.6709682, -30.22886192, -29.34476647, 
##     -30.68160859, -29.97467384, -29.00016403, -29.44694737, -28.75001851, 
##     -29.13378236, -30.36484095, -30.29103709, -29.822866, -29.0200565, 
##     -29.95923931, -29.03424879, -29.4415467, -28.36924306, -28.03799087, 
##     -28.28827342, -28.33902117, -29.5, -28.72342765, -29.1171509, 
##     -28.7652465, -29.87304745, -29.42042202, -28.80533547, -29.0200565, 
##     -29.97467384, -29.65547411, -30.08040676, -29.18145842, -29.33124152, 
##     -29.70166262, -29.27220487, -29.15806791, -29.39548434, -28.14577644, 
##     -29.03914752, -29.21976837, -29.82188458, -29.46021617, -29.73978972, 
##     -28.61859332, -30.67697987, -29.60734042, -28.63178762, -30.01290396, 
##     -31.2093015, -29.78872688, -28.49432691, -29.09822376, -29.43620788, 
##     -30.08040676, -30.13287442, -31.89179198, -32.66877039, -31.21921618, 
##     -30.33794076, -29.86835834, -30.9, -26.76842722, -28.06979366, 
##     -29.78872688, -30.12217634, -31.44829558, -30.70452788, -30.16999884, 
##     -28.51514097, -29.99056934, -27.16324125, -26.88617459, -28.60514417, 
##     -30.91259536, -29.86515909, -28.91499959, -30.45180901, -29.94897931, 
##     -30.1635969, -31.47768817, -30.95530072, -31.6, -27.78980014, 
##     -29.02070008, -28.49345561, -30.51179356, -33.19004295, -29.91624279, 
##     -31.80650709, -34.08397783, 58.09535541, 94.12426501, 129.8243452, 
##     105.5990372, 39.42443751, -102.9696801, -6.316142761, -37.74778602, 
##     -22.95630411, -15.63889408, -30.77547325, -8.60133755, -29.00903244, 
##     -22.53542581, 0, -31.44546088, -39.91779332, -21.21464596, 
##     -23.79411248, -29.97074379, -26.55416173, -15.26493284, -11.79429325, 
##     -38, -32.15845504, -30.94027718, -30.47480186, -31.94828281, 
##     -31.97573601, -32.25767744, -32.10350203, -30.6442293, -28.74828307, 
##     -30.70970936, -32.04778606, -29.67334221, -31.74949844, -31.2609143, 
##     -29.79879869, -30.43974676, -29.39851187, -32.63871664, -27.4121374, 
##     -26.53421556, -30.74165972, -32.6, -33.70347017, -34.49770839, 
##     -33.58813767, -34.68367615, -36.31514743, -35.7077046, -34.16743574, 
##     -34.09889408, -31.07428504, -29.38578808, -28.33001645, -30.77066454, 
##     -30.74145601, -28.98043502, -30.60728895, -31.31467008, -32.09108809, 
##     -29.78906288, -28.53989783, -30.8225009, -29.65794986, -29.5, 
##     -28.12664013, -28.32639726, -28.85255491, -27.37349893, -27.89994399, 
##     -27.49181919, -28.09332226, -29.55084321, -26.74255304, -28.05138119, 
##     -29.17633328, -27.82608531, -27.16789364, -31.19304954, -29.15413136, 
##     -27.2839911, -25.79615437, -26.52911137, -28.24066004, -29.46717434, 
##     -28.98699088, -28.76060795, -29.42042202, -30.17982894, -27.39530367, 
##     -24.94744307, -24.97832699, -26.09102981, -26.04143368, -25.4919542, 
##     -26.55904654, -28.18721684, -27.83545992, -27.89748861, -28.15619619, 
##     -28.62793117, -28.80830871, -28.42612997, -29.82039177, -28.98394679, 
##     -27.48085514, -27.72703604, -28.33680272, -27.2439254, -27.12777647, 
##     -28.75556171, -29.22275261, -27.45692549, -27.63809272, -27.42662092, 
##     -23.92425903, -23.79634152, -26.51194977, -23.70426173, -21.02292774, 
##     -23.54429605, -36.08106539, -34.64912098, -34.75396378, -38.10869082, 
##     -38.12120691, -35.33399431, -32.68270139, -29.76240344, -30.2, 
##     -28.57253134, -30.48500187, -31.40640303, -32.28778527, -33.16136648, 
##     -32.69254843, -32.30458707, -31.40640303, -32.0046907, -31.49497015, 
##     -32.49472742, -34.42525585, -33.38237499, -31.92114361, -32.01036801, 
##     -32.82306947, -30.07356691, -30.58293548, -31.64952244, -28.84344855, 
##     -27.66388358, -31.54315762, -32.04700323, -34.81294303, -36.41282443, 
##     -32.85524405, -31.79661355, -31.68342437, -30.57922081, -28.90194759, 
##     -29.63486096, -29.76998259, -29.59140688, -29.72100368, -27.91977834, 
##     -29.96558766, -30.34563897, -29.68168029, -30.72546652, -31.70186225, 
##     -31.75675965, -31.9, -33.1947113, -32.83330563, -32.33268122, 
##     -32.00397919, -30.98792515, -29.92386368, -30.11315162, -27.1150952, 
##     -28.45051801, -28.03488332, -27.32437166, -26.48460213, -28.23353599, 
##     -30.5973873, -31.6180232, -29.69022572, -30.94282541, -30.95937408, 
##     -30.10961574, -29.65891778, -27.745548, -27.827928, -28.3056387, 
##     -29.1599468, -28.53050309, -28.12339568, -29.54367884, -27.25079577, 
##     -27.7402294, -30.05672654, -28.60514417, -28.66999513, -28.29973203, 
##     -30.76669959, -28.72635393, -27.32287648, -28.93432989, -28.15664928, 
##     -28.49246425, -28.86292893, -29.56929575, -29.97294469, -30.34542792, 
##     -29.22324962, -28.59713859, -28.18121517, -29.16260228, -33.03050848, 
##     -31.23793737, -30.75675921, -31.73492869, -32.29738309, -30.50770531, 
##     -29.99356725, -33.1575822, -32.9, -31.46465291, -30.90935864, 
##     -31.50775849, -33.08508526, -29.97961359, -29.70001176, -29.90687087, 
##     -28.79195385, -27.66011002, -30.9973433, -23.72717783, -29.14313513, 
##     -25.47658168, -26.96218695, -24.21844198, -32.31890518, -24.18067414, 
##     -18.18420942, -25.80790385, -21.03280615, -26.39202096, -31.62844388, 
##     -35.19139086, -29.00246743, -29.83272615, -21.94389567, -32.0046907, 
##     -27.23281059, -28.95946872, -25.19878492, -30.08364623, -32.40802354, 
##     -28.67419912, -25.63018759, -30.93487575, -30.09202344, -28.89095635, 
##     -32.54508593, -31.00058462, -30.73813273, -28.45838385, -26.44075041, 
##     -28.43949597, -30.11125796, -31.61358341, -35.5731007, -30.97316476, 
##     -30.27789498, -25.46754411, -28.9061438, -25.63923495, -31.84360515, 
##     -31.57558552, -29.40272121, -27.40402773, -27.79735501, -27.9414684, 
##     -26.80382259, -26.49953628, -22.94336785, -21.42387826, -22.12952615, 
##     -21.42621565, -19.45496642, -19.81896925, -18.16052848, -17.68437224, 
##     -17.9403109, -16.17781336, -17.14996615, -32.09774174, -23.92503897, 
##     -28.22376864, -37.79418976, -26.18225758, -27.00751895, -33.25222801, 
##     -24.77202335, -26.64201705, -30.81624861, -26.92040282, -27.13514734, 
##     -30.80162387, -33.10037183, -25.73230107, -28.77652386, -28.1336948, 
##     -26.99792637, -27.52722466, -32.36968357, -33.38877651, -28.63699821, 
##     -28.70916008, -28.63338376, -30.06208813, -29.10113353, -30.77224442, 
##     -27.12380968, -32.62082701, -26.6036734, -27.46471911, -28.67504598, 
##     -29.36588888, -30.4356517, -31.12235136, -37.15496769, -32.12849016, 
##     -31.33713711, -29.0606618, -29.85782219, -30.54856709, -29.2452705, 
##     -27.26516734, -29.3653579, -25.63791087, -27.61225672, -28.73645354, 
##     -27.40281391, -28.20404913, -27.73791548, -27.2, -27.64597163, 
##     -25.04390317, -27.09720556, -28.27475495, -25.59419582, -26.72865133, 
##     -26.0219038, -22.51857346, -22.35463691, -24.5953079, -24.12799805, 
##     -20.36732415, -22.34407788, -22.51714779, -20.6688654, -20.03751616, 
##     -21.0137237, -22.08660766, -21.47858186, -20.95387773, -21.25782668, 
##     -20.05253258, -20.2, -27.80766313, -37.63681189, -19.20055503, 
##     -43.20635852, -34.92497593, -35.88289755, -24.21248975, -31.1894201, 
##     -31.23948091, -28.04337173, -34.11079497, -35.77140034, -35.20993487, 
##     -26.8085072, -28.45642457, -28.81283233, -33.04594291, -33.28514327, 
##     -29.36588888, -31.61654485, -32.86365149, -30.67130498, -27.0926774, 
##     -28.09328754, -34.98376982, -27.65079517, -30.00850909, -31.94772468, 
##     -32.13318139, -32.05975489, -34.14514997, -37.96868404, -33.72662527, 
##     -31.18848839, -30.66789453, -32.06995971, -26.42580552, -27.61225672, 
##     -28.32265852, -25.27632087, -30.06085788, -30.4, -31.57524397, 
##     -29.18811499, -25.90404692, -28.42038896, -27.21015682, -23.53632731, 
##     -24.33275483, -24.21492011, -21.5267149, -20.6749021, -20.08884191, 
##     -20.10356917, -20.69620693, -21.99373822, -20.62228237, -21.16298925, 
##     -22.0979132, -20.51002139, -24.17716124, -23.97719143, -24.82761876, 
##     -30.4, -26.4192716, -27.2382491, -27.33258129, -28.07846503, 
##     -27.4651224, -27.64166652, -30.6302958, -25.48030858, -24.60146113, 
##     -36.63269438, -34.34708193, -23.5970032, -30.99609713, -19.51938046, 
##     -21.40696161, -34.13220118, -27.56003172, -25.15929963, -27.78092193, 
##     -25.06869231, -29.71677135, -34.7893113, -32.00279894, -28.06857209, 
##     -27.2018791, -30.55004986, -30.83412638, -31.83350004, -34.60446591, 
##     -29.85190563, -29.61557412, -27.75230167, -33.96406612, -30.84365865, 
##     -30.64147132, -32.75422768, -33.00262087, -32.65015062, -33.83716091, 
##     -36.49779098, -32.36968357, -28.92019069, -28.67916449, -30.24992197, 
##     -27.14134392, -28.1007491, -27.64597163, -25.64569826, -26.61101815, 
##     -26.35789261, -25.88233928, -30.93116994, -28.39418436, -29.01419838, 
##     -29.48946213, -24.71681739, -26.90969968, -27.4104716, -24.96515707, 
##     -24.18493549, -25.44353962, -22.97329667, -23.07312821, -23.5181929, 
##     -23.93989172, -22.79484132, -22.57715859, -22.70990687, -21.94564136, 
##     -22.17412111, -23.01232195, -22.90934359, -22.99158378, -23.0915812, 
##     -23.2805831, -25.24005567, -27.61673013, -26.53227178, -27.64701451, 
##     -26.277701, -24.0941, -24.93385607, -31.06308406, -28.90812157, 
##     -33.02270998, -23.16161419, -26.75245209, -39.25850229, -26.23387918, 
##     -37.57102809, -25.87925037, -24.65820894, -33.01774077, -28.76096118, 
##     -21.5, -21.88682365, -33.79918499, -29.95133735, -38.33502689, 
##     -34.96887197, -30.99835186, -27.5452961, -30.05654136, -33.91537155, 
##     -30.63164187, -33.38041019, -35.87072675, -29.43866846, -32.14524828, 
##     -32.78040395, -29.08389314, -31.17485312, -30.7831287, -30.1131946, 
##     -30.34601749, -33.74680664, -31.04881566, -27.8, -29.85319496, 
##     -31.56672942, -31.77723139, -30.82815252, -34.1461102, -42.92520258, 
##     -38.66369077, -29.84205251, -27.08816748, -30.92331249, -29.02128794, 
##     -29.73066871, -27.17757548, -26.50692042, -32.53480129, -23.67846838, 
##     -26.29143322, -33.16927805, -25.0402963, -26.58578351, -24.90122661, 
##     -25.28902423, -24.10168473, -24.20614043, -23.66947432, -24.97832699, 
##     -23.24224151, -22.70990687, -21.2859211, -19.92482469, -20.43320156, 
##     -20.35899559, -20.43320156, -20.47318589, -19.88740504, -20.09970315, 
##     -20.86487343, -20.45608041, -21.65539928, -30.68770854, -32.96696001, 
##     -32.66945037, -32.34225414, -30.2396207, -32.75178647, -30.26934809, 
##     -32.33097934, -37.20539399, -37.19491998, -28.97957112, -28.23592628, 
##     -28.87732652, -28.65511954, -31.89177568, -29.28769008, -29.41547322, 
##     -30.28515248, -32.03125349, -31.56568172, -25.40617485, -27.9257693, 
##     -26.65892854, -26.04153876, -26.88617459, -26.88716288, -25.01565231, 
##     -25.23453614, -24.85260377, -23.8118799, -23.22191118, -22.44324664, 
##     -23.82377786, -22.91920655, -21.3, -23.27528751, -25.32209767, 
##     -21.826638, -21.76586608, -22.15892885, -21.72074161, -21.26419761, 
##     -21.0137237, -20.70198552, -22.06925953, -22.90236203, -21.3237359, 
##     -22.34073277, -21.5971921, -21.69552802, -22.80772248, -22.68939158, 
##     -25.58307329, -25.73004168, -24.97746355, -29.4034763, -30.01842959, 
##     -25.8156794, -24.96378046, -27.38909749, -25.97334808, -25.68489303, 
##     -29.37416352, -24.69386019, -29.68205625, -26.92338251, -32.28940303, 
##     -26.73554789, -34.11103883, -28.31522023, -23.31802048, -32.08421907, 
##     -25.84863697, -24.79500798, -28.8230074, -32.2204849, -31.97634943, 
##     -32.15573953, -30.35659536, -33.52050339, -31.13392493, -27.86263333, 
##     -26.66598867, -32.14524828, -32.71462905, -34.70400655, -34.95146683, 
##     -32.45921854, -30, -21.11597909, -19.05381606, -20.9020354, 
##     -20.49899405, -21.04641802, -21.36265236, -21.60290596, -22.81603732, 
##     -22.03777271, -21.55942163, -24.44176589, -24.90035383, -22.51112389, 
##     -23.14997943, -24.28534195, -24.52806004, -23.56838865, -23.74415961, 
##     -25.36339525, -25.71954535, -25.65980017, -25.37462355, -27.30963825, 
##     -29.53753444, -26.01949009, -26.52408576, -29.60390527, -27.50506314, 
##     -26.09735411, -28.60410536, -26.11794105, -29.67606452, -25.4804329, 
##     -24.5, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.3, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.3, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, 5.072376105, 21.45405338, 25.34401123, 5.573505175, 
##     2.857531727, 27.55700804, 29.00903244, 37.5726628, 31.54314818, 
##     62.45852574, 56.05652533, 16.31626572, 13.01166667, 2.771724858, 
##     10.51503748, 11.73100252, 3.844259002, 0, 47.58429779, -19.64409914, 
##     122.4749396, 71.46929526, 48.36239426, -74.83780475, -43.58712269, 
##     -104.2899579, -53.78853341, -60.15444128, -28.89941176, -25.91999375, 
##     -71.11612141, -54.90823922, -39.68940203, -44.46412465, -57.10476051, 
##     -56.48668793, -36.7826649, -21.85238472, -15.09012541, -29.78392402, 
##     -33.78896112, -49.46061482, -44.28310622, -30.62773692, -20.39001248, 
##     -3.567638645, -35.62294762, -30.28848684, -37.37921748, -30.23303463, 
##     -25.43096298, -27.8000651, -34.05364099, -31.98008459, -57.35173751, 
##     -67.38767184, -65.96317263, -38.36091291, -80.86623705, -56.94439972, 
##     -59.71083451, -106.1056648, -94.6042458, 10.99858738, 60.18137752, 
##     42.26202329, 56.73334545, 36.79595843, 40.73257806, 41.42122837, 
##     46.3647609, 54.83778233, 38.92224255, 46.2310467, 58.59207084, 
##     57.61555782, 73.91861057, 69.63326897, 63.74668013, 58.79385116, 
##     50.60779637, 57.67535027, 60.21943849, 58.08501216, 40.01510107, 
##     32.09388248, 35.86102473, 73.04168968, 35.67018312, 47.88279984, 
##     29.12849284, 40.7, -37.64348721, -13.00066583, -70.22569315, 
##     -5.194076469, 90.18322525, -50.54487484, -53.40450514, -88.3537465, 
##     -64.18410099, -78.15221556, -56.9858009, -73.0743936, -65.55015443, 
##     -83.80768283, -70.86262721, -38.05063771, -3.84142156, 14.69790278, 
##     -7.883154636, -32.07139242, 6.972979491, -26.21529333, -22.99421052, 
##     0, 7.167283548, 0, -55.16549825, -48.204795, -9.328452139, 
##     -43.72004473, -39.65557123, -49.36907009, -74.22209777, -19.40630974, 
##     -35.62294762, -42.05343353, -21.45405338, -56.82266729, -8.28553568, 
##     -42.05343353, -57.69313452, -31.7663193, -44.0510663, 0, 
##     -54.04195003, -33.98369095, 33.98369095, 44.65866338, 64.95332111, 
##     66.56596339, 54.56550545, 36.12037555, 53.2, -16.1752866, 
##     -80.99982509, -56.31424357, -28.61034937, 0, 47.56377155, 
##     13.42999048, -7.963988788, -32.76937336, -11.69084965, -23.79411248, 
##     0, -18.59701734, -20.50879525, -4.752932688, -31.45897426, 
##     -44.66362641, -50.46204147, -60.60374607, -4.328774995, -14.81618277, 
##     -17.3499745, -41.31633365, -40.12471419, -13.25515323, -30.78870916, 
##     -27.54335248, -14.04897018, -35.62294762, 0, 0, -38.05063771, 
##     19.73955598, 27.50164027, 57.89862068, 73.48763722, 57.97954884, 
##     57.51226609, 51.86919975, 56.52523045, 65.89625693, 69.81623912, 
##     60.25222169, 69.75544112, 80.45504686, 50.15852882, 43.96560664, 
##     43.67521357, 42.30341546, 46.48922955, 59.66902607, 66.39148198, 
##     51.49774612, 54.01745703, 69.01718752, 72.2872088, 67.2, 
##     24.33608496, 11.25687809, 40.6103613, 18.97449046, -8.28553568, 
##     -19.91274947, 0, -46.2264958, -33.98369095, -19.91274947, 
##     -17.92904981, -40.12471419, -27.7334357, -25.21876967, 9.218798483, 
##     -40.87518536, -53.98370776, -37.67623417, -29.33465887, -48.0895191, 
##     -40.37146867, 38.57869316, 85.60556345, 49.31831267, 45.89854792, 
##     48.8, 58.39179588, 67.79900739, 66.43011678, 66.90725668, 
##     43.06950249, 65.47872357, 54.72896548, 87.24181489, 89.60026426, 
##     39.75476124, 56.84062531, 53.61493686, 58.63147171, 59.050429, 
##     46.85722675, 40.31583476, 37.06975695, 69.64950836, 62.76635744, 
##     16.45884779, -9.218798483, 58.01832744, 62.0517788, 54.78967445, 
##     80.55734892, 76.2590679, 35.35373406, 29.79423965, 41.38449293, 
##     48.74142615, 44.76934617, 74.69659153, 58.63758265, 74.83271723, 
##     76.54593244, 49.49750114, 17.92105002, 43.12864637, 20.31972605, 
##     39.42443751, 16.38961805, 6.857259871, -13.59445286, -8.28553568, 
##     -4.15705538, -4.55645165, -9.716707739, -42.28539261, -82.22503712, 
##     -75.9, -6.605786786, 30.01423523, 16.05611392, -32.35891267, 
##     -23.83162939, 28.0726995, 3.662078599, -29.58324161, -31.70354333, 
##     -32.12885893, -34.29638559, -38.10203855, 19.88538725, -31.20252321, 
##     -54.10382176, -44.09398413, -34.37218585, -36.67340591, -11.95948865, 
##     0, 27.2, -5.072376105, 4.469158104, 11.13410143, 55.93892414, 
##     63.56892273, 27.16571237, 75.4862754, 60.90366098, 36.79595843, 
##     60.7834956, 74.08552836, 44.42405267, 47.14587347, 60.82569476, 
##     49.10593241, 50.93602743, 86.49411771, 66.89114742, 43.31557468, 
##     37.46577254, 52.83837958, 59.4889638, 69.91526978, 75.54041582, 
##     55.43478833, 49.74878646, 69.75544112, 70.5456015, 18, 56.67292175, 
##     60.83906358, 36.06311701, 4.995839572, 42.93781122, 35.44824793, 
##     26.21529333, 13.94235852, -14.45070227, -49.89130118, -61.46657724, 
##     -72.2872088, -69.71794907, 24.72567936, 20.28412977, 2.94032882, 
##     -9.905554468, -49.69324908, -50.64446434, -48.22106668, 13.45614055, 
##     17.19424499, 45.67730424, -12.08743067, -31.29425995, -25.90026619, 
##     -24.61880431, -52.82587394, -23.11335378, -9.218798483, -27.88403149, 
##     -26.70422682, -67.23153665, -12.31702211, 0, 9.484487781, 
##     26.39228481, 65.56956262, 52.71305281, 58.72029763, 33.33709731, 
##     28.18153446, 40.5866892, 79.15494609, 81.81244408, 73.86634767, 
##     80.31009768, 79.73993157, 66.83860141, 52.77461388, 48.31899809, 
##     51.85083481, 65.56809344, 80.43474087, 70.74837115, 74.7, 
##     -52.40989348, -43.49975399, -35.81302684, -23.21129001, -30.93394869, 
##     -16.29414786, -50.91296131, -29.37261638, -42.23869278, -35.49012748, 
##     -47.3688282, -69.40925176, -18.17747646, -20.73289015, -3.569911268, 
##     -10.15931806, -29.51779121, -37.37921748, -27.11017463, -39.90187295, 
##     -41.79128926, -32.09306569, -24.17746801, -36.69262657, -51.66912389, 
##     -46.29571201, -44.96090751, -43.96760389, -33.02973548, -33.13289917, 
##     -32.10859547, -33.87509296, -42.11974638, -33.13289917, -21.52558382, 
##     -19.07973769, -26.00508977, -35.12653692, -37.4333616, -40.48917863, 
##     -43.66271598, -47.73453824, -43.46702151, -36.93336577, -36.17582181, 
##     -35.3815484, -40.8907829, -37.34684378, -39.21302659, -39.21302659, 
##     -33.20594675, -39.15026505, -41.72098434, -36.07828575, -43.36991238, 
##     -40.12471419, -37.14536879, -36.65627015, -34.03249482, -32.17505544, 
##     -42.94338671, -36.25442373, -37.97424052, -36.23472514, -32.09306569, 
##     -43.12864637, -48.53046004, -33.69521781, -41.73388303, -44.52743792, 
##     -28.90407099, -33.4443946, -27.8000651, -33.18763952, -37.74778602, 
##     -27.76695482, -36.7826649, -35.83307347, -33.97005899, -37.9, 
##     -37.88148936, -33.7408001, -38.52379836, -39.77814882, -47.58429779, 
##     -49.67613909, -40.56327368, -29.43933319, -31.74972397, -40.3392188, 
##     -24.86925514, -21.60849723, -28.80816981, 7.034046903, 14.74776891, 
##     -1.817080897, 6.972979491, 27.3903789, 37.28286805, 27.03264813, 
##     42.80009441, 56.4, 66.67432513, 70.23029641, 78.79811569, 
##     91.97181789, 86.28385644, 89.9719893, 90.89977667, 89.50747572, 
##     93.48312895, 90.63541564, 94.59361015, 99.85827287, 99.62005082, 
##     80.36982199, 73.3617977, 64.2516295, 65.63381708, 47.43109054, 
##     57.57819584, 33.55544843, 37.89248007, 30.40558589, 6.181957436, 
##     -38.36091291, -34.89576111, -44.57381122, -86.96040863, -86.10742634, 
##     -103.8314543, -36.91586255, -7.642080756, -21.44034957, -32.27843269, 
##     -32.34302972, -16.83951141, -10.30816085, -3.1612242, -17.48204333, 
##     -25.13196468, -38.45061746, -43.57804155, -38.66997978, -36.86954597, 
##     -24.7, -16.8335453, 0, -6.664203286, -44.76323714, 3.4469101, 
##     23.81641522, 0, -19.13905711, 7.595404642, 11.42025418, -50.492388, 
##     -49.82775126, -50.52092402, -50.19179594, -50.42836105, -51.33214897, 
##     -49.38087967, -50.69229179, -50.49002496, -50.19179594, -50.2, 
##     -50.06280218, -50.7609103, -50.83071406, -50.7198498, -50.74395114, 
##     -50.43896397, -50.7064232, -50.7062612, -51.01862829, -49.97211075, 
##     -50.06280218, -50.32989404, -50.53903235, -51.26089331, -51.26089331, 
##     -51.10913009, -50.03601127, -50.11898789, -50.63711836, -51.13294522, 
##     -49.94281691, -49.63612524, -50.16272332, -50, -49.94281691, 
##     -49.43300447, -50.81644299, -51.04942387, -50.80194934, -49.90630168, 
##     -50.11898789, -51.58783297, -51.4308898, -49.89843031, -50.25779452, 
##     -50.53903235, -51.31485598, -50.62282882, -49.98273672, -50.492388, 
##     -50.81644299, -50.34126164, -50.11898789, -50.64981937, -51.05445859, 
##     -51.60004455, -50.63711836, -49.58246258, -50.29472966, -50.95991464, 
##     -51, -50.40111329, -50.56712392, -51.20585277, -50.64981937, 
##     -50.95593553, -51.44990335, -51.307613, -50.27439413, -50.57913156, 
##     -50.99871266, -50.84625958, -50.74737563, -50.17412331, -50.93034371, 
##     -50.55250623, -50.98253167, -50.91481518, -50.45258457, -50.23310306, 
##     -51.21626429, -50.80194934, -51.01421466, -51.05961837, -49.75410964, 
##     -50.41318148, -50.06280218, -50.27439413, -50.51037202, -50.7064232, 
##     -50.2901339, -49.89843031, -49.8, -49.59026438, -49.92194325, 
##     -49.80729322, -50.09527978, -50.30776204, -50.30776204, -50.6026597, 
##     -50.6026597, -50.85890785, -51.20585277, -50.45503955, -50.16272332, 
##     -50.67747541, -50.26371768, -50.88404319, -50.78980969, -50.56712392, 
##     -51.2689973, -51.2644886, -50.50756003, -49.97211075, -50.31780956, 
##     -51.05445859, -51.48666518, -51.24912476, -50.89659667, -50.91481518, 
##     -51.523222, -50.78980969, -50.51037202, -50.78980969, -50.91796104, 
##     -50.53903235, -51.16587334, -50.81456161, -51.10724192, -50.48421997, 
##     -50.29934621, -50.59278706, -51.57226703, -50.26371768, -50.83277047, 
##     -50.90163867, -50.34614104, -50.99871266, -50.87298243, -50.6362838, 
##     -50.53903235, -50.45194305, -51.19463272, -51.08240067, -51.03437672, 
##     -50.28432109, -51.19463272, -51.23303799, -50.93034371, -50.7064232, 
##     -50.16272332, -50.98663368, -50.98663368, -50.19179594, -50.3567854, 
##     -50.6362838, -51.24912476, -50.96966, -50.96966, -50.25779452, 
##     -50.07885149, -49.92194325, -49.90630168, -50.55250623, -51.14974557, 
##     -50.6362838, -50.52092402, -50.97371113, -50.20906012, -50.40387229, 
##     -51.86038812, -50.81644299, -50.95593553, -51.02468366, -50.38062202, 
##     -50.60768332, -50.35245512, -50.19554533, -51.76830981, -51.16587334, 
##     -51.32448783, -50.62282882, -51.57226703, -51.59274508, -52.40970025, 
##     -50.27575046, -50.24030527, -50.57724638, -51.12770832, -51.47528873, 
##     -51.07142211, -51.20182226, -50.71479249, -51.1825749, -51.04184074, 
##     -51.6576591, -51.3740352, -51.47528873, -49.82384291, -49.86703014, 
##     -50.6, -52.58432151, -52.7359709, -51.2516132, -52.24001766, 
##     -52.70194923, -51.44122061, -49.81443416, -49.88935658, -49.82595935, 
##     -51.00913891, -51.25721207, -51.41098782, -51.31147365, -50.6451824, 
##     -51.54287529, -51.89423961, -50.86983637, -50.26700809, -52.76088606, 
##     -49.45915802, -50.73105253, -51.66128516, -51.80741774, -50.92213728, 
##     -51.55737725, -50.96046252, -52.4, -51.6835156, -53.12758842, 
##     -50.44159758, -45.56137968, -44.20432149, -46.32608494, -46.06036136, 
##     -51.18531814, -45.87646534, -47.61784308, -49.11583295, -49.30479947, 
##     -46.22615851, -47.39013683, -47.63332401, -48.72391698, -48.47698997, 
##     -46.93283259, -46.59819755, -47.71434406, -46.50606466, -50.49691027, 
##     -48.92128844, -45.97978238, -48.27845372, -47.9764152, -50.01039196, 
##     -50.25470531, -53.7, -50.69892423, -49.96973523, -50.7721394, 
##     -50.44096147, -50.37720012, -50.10973126, -50.60954756, -51.19141615, 
##     -51.04447724, -49.37933965, -50.00750749, -50.17531817, -49.75486507, 
##     -48.2442856, -48.88896671, -48.7384506, -49.65179677, -50.67510137, 
##     -49.7121256, -48.94049441, -49.34058275, -50.45762266, -49.48516215, 
##     -50.50619491, -51.10909807, -51.34629631, -50.7, -51.35281958, 
##     -50.57477479, -51.58445681, -52.36231398, -50.57535272, -50.5424444, 
##     -51.28029857, -51.04883219, -51.0441411, -50.90788593, -51.14473358, 
##     -49.76326815, -50.95131881, -53.02062694, -53.81609222, -49.14326945, 
##     -47.63871825, -50.37250767, -53.27264265, -52.6529489, -51.98257906, 
##     -51.13345202, -51.68947019, -52.16440912, -51.01223853, -51.27499704, 
##     -50.94159613, -50.83867466, -50.97169181, -51.14731214, -50.09909378, 
##     -50.20091228, -50.60787942, -50.84365636, -50.57535272, -51.04883219, 
##     -49.84074526, -50.17167614, -50.63913793, -50.5424444, -50.17175755, 
##     -50.84365636, -50.47452421, -50.27272093, -50.24078904, -50.60946051, 
##     -50.94159613, -51.14473358, -50.67510137, -51.01223853, -50.07076048, 
##     -50.73571859, -51.1791319, -51.61461683, -50.17175755, -50.70951619, 
##     -51.07718977, -50.44096147, -49.97380155, -51.84290209, -50.775727, 
##     -50.80682671, -49.68763618, -50.96869655, -50.28086362, -50.72523313, 
##     -50.36553054, -52.39053185, -48.6, 29.59549162, 31.35703557, 
##     24.78262685, 14.66861935, 21.81638324, 26.15590738, 36.50843499, 
##     30.23610732, 14.37096297, 28.89479279, 23.97431089, 27.20759051, 
##     16.10158137, 4.424100871, 12.18173219, 22.51700682, 16.13322427, 
##     11.17574255, 11.16007244, 13.26973329, -3.997868712, 21.69031891, 
##     -2.818672664, 24.51995498, 10.46613114, 27.55781574, 21.5125892, 
##     13.20536242, -4.335889962, 60.94539126, -3.4387485, 39.08780458, 
##     8.641387748, 12.34044667, 8.67836924, 8.20151066, 0, 7.284650811, 
##     9.845361405, 9.336071773, 47.51768495, 14.59500372, 15.29839068, 
##     13.33676778, 12.1367889, 0, 21.70885726, 19.62045056, -7.810682465, 
##     35.87706703, 47.52989888, -6.762526978, -6.055976348, -7.82861298, 
##     0, 4.284840399, -3.061862268, -3.807855088, 8.983303711, 
##     12.2271785, 12.34044667, 16.48989946, -4.700140204, -6.972979491, 
##     -17.70131455, 11.69084965, 14.75780318, -13.25515323, -20.65411303, 
##     5.584357744, 5.584357744, 5.584357744, 5.584357744, 10.26432443, 
##     12.58228904, 18.65761489, 28.84089792, 13.63476062, 20.86511409, 
##     37.40830571, 28.90407099, 27.19050566, 23.86177106, 30.03314253, 
##     25.18178058, 18.27397055, 13.80513142, 9.939134876, 20.74962264, 
##     13.25191974, 12.94306452, 11.76668142, 15.63889408, 11.03603174, 
##     28.9873469, 13.4321442, 15.03671779, 11.48766054, 8.67836924, 
##     0, 14.8, 8.766851766, 0, 12.12092853, 15.49223199, 15.5520717, 
##     10.71091788, 18.17992865, 18.37279325, 3.78596019, 11.44890472, 
##     27.43426048, 10.94720798, 2.537820442, 3.20929055, 21.14484186, 
##     0, 4.4079538, 13.15442099, 12.35810307, 14.26167796, 18.97449046, 
##     21.21464596, 4.669296788, -16.19885075, 13.07686551, 10.05605718, 
##     6.419411024, 10.05605718, 25.59709495, 12.78054364, 8.842691608, 
##     0, 0, 5.54132321, 3.362096593, 7.654664214, 10.56054402, 
##     11.23908964, 22.7695452, 0, 36.32719259, 5.875582272, -6.316142761, 
##     -6.664203286, 12.55471349, 11.53426492, 33.71413291, 42.05343353, 
##     53.98370776, 47.33183317, 50.64446434, 26.76500307, 31.44397272, 
##     31.99145539, 12.05688588, 18.73934092, 20.08495425, 13.67454111, 
##     0, 10.36027759, 13.20536242, -4.752932688, -13.27135627, 
##     -7.49707993, 3.350753028, 11.4724256, 21.63374968, 11.095957, 
##     18.59701734, 48.05860812, 0, -31.1392119, 14.95824015, -8.4281776, 
##     -10.01360285, 20.9033299, 39.68271252, 16.1284652, 24.82795139, 
##     6.393119751, 3.852809202, 9.774557973, -6.656816378, -4.4079538, 
##     11.10355452, 6.009324292, 7.05053947, 14.31842006, 22.80801548, 
##     3.595200217, 14.69790278, 14.01826041, 5.201097082, 0, 0, 
##     15.19603794, 8.904801345, -3.027986901, 3.007377204, 13.27135627, 
##     -5.43392825, -5.845390622, 13.05595099, -11.41260252, -3.899393992, 
##     11.48766054, 3.76177422, 11.79429325, 19.72418933, 31.99145539, 
##     35.85088664, 49.65477659, 49.21144206, 17.76667681, 25.46645413, 
##     18.27397055, 8.800737353, 12.10094412, 12.60100559, 9.944935638, 
##     10.26582673, 9.094061948, 9.41186173, 3.488608118, 7.338941909, 
##     0, 6.429354207, 0, -3.807855088, 29.35432215, -8.232332116, 
##     23.523807, 4.654101051, 7.414198223, -27.43426048, -4.500732044, 
##     21.63374968, 0, -9.452654275, -33.76753074, 15.5520717, 2.935257826, 
##     -15.03789847, -35.81302684, -3.428627565, 5.382520559, 21.93389467, 
##     0, -6.972979491, -24.45711856, -17.65985938, 0, 20.50496199, 
##     12.7863466, -3.595200217, 3.985150111, 15.09490034, 24.48287409, 
##     8.620847918, -18.2, -5.945260857, 11.73100252, 9.0106135, 
##     0, 20.73289015, -39.68271252, -24.17746801, -85.53940073, 
##     -55.51211676, -40.3392188, 0, -20.65411303, 0, 51.48059551, 
##     63.53290935, 34.46514971, 52.94703358, 14.17385903, 38.06472014, 
##     -13.46376116, -28.55842493, -53.16768182, 33.04226479, -15.42552712, 
##     -22.41493903, 10.28390596, 9.162729883, -43.96560664, 27.16571237, 
##     2.518431036, 39.46178798, 52.16056137, 0, -3.286795657, -38.57869316, 
##     121.4062938, -38.46498497, -15.71919667, 13.18735274, 21.43189689, 
##     49.9138399, 54.10382176, 35.85653675, -3.42259773, 3.1612242, 
##     -41.09723868, 0, 27.0549763, 14.04897018, -3.516537485, -46.08946583, 
##     -21.45405338, 5.173183989, -15.9226893, -9.549131716, -10.31882647, 
##     5.317445547, 0, 26.93688999, -19.69695924, -8.06697625, 0, 
##     -23.71034331, -34.35808059, -36.28221719, -16.98462881, -20.89065412, 
##     0, 50.64446434, 17.70902352, 43.58712269, 35.5602583, 42.1, 
##     20.94149616, 0, 0, -20.65411303, 17.01191643, -4.469158104, 
##     5.201097082, 3.588249978, -17.36450116, -35.62294762, 16.66092706, 
##     33.25255552, -60.12642167, 0, -14.45070227, 35.5602583, 32.36185653, 
##     16.48678638, 8.920534355, -39.23485464, -40.6103613, 27.0549763, 
##     -3.872983637, -26.74347114, 0, 6.260200636, 59.52589397, 
##     -47.24891185, 5.958438422, 28.71183184, 29.84989316, -26.21529333, 
##     -2.725021623, 16.98462881, 0, 8.920534355, 3.236489008, 10.11878428, 
##     12.63642, 8.349468641, 3.104352863, 0, 11.57282059, 0, -42.05343353, 
##     -37.5, -19.18675615, -29.00903244, -12.58228904, -16.03030484, 
##     10.80428526, 115.0261992, 20.47055913, 15.12244445, 56.64694457, 
##     63.98932021, 53.90132916, 19.73955598, 19.59166241, 33.55544843, 
##     17.98534998, 29.52271571, -7.338941909, -19.18675615, -16.78900072, 
##     -46.16605154, 15.76797612, -33.98369095, 14.51483421, 17.83375327, 
##     8.920534355, 38.05063771, 0, 38.05063771, -22.53542581, -33.98369095, 
##     6.54186961, 20.89065412, -7.82861298, 7.654664214, -24.31608692, 
##     20.89065412, 44.29110441, 13.77962246, -11.57282059, 28.35352049, 
##     35.85653675, 30.62773692, -27.0549763, 0, -4.801998898, -7.167283548, 
##     -35.22737092, 15.09490034, 8.577573084, -24.09445469, -8.314123189, 
##     -7.130746479, -7.48132784, 50.8, -34.20058522, -7.200236867, 
##     2.612055505, 16.24033701, 7.840635489, -16.24033701, -17.15561283, 
##     -50.82672462, -54.64480832, -43.78564991, 13.65063112, 15.83372747, 
##     12.74589108, -10.00420273, 7.677189127, -46.2264958, -11.65110628, 
##     -14.79814607, -5.441968602, 0, 25.01959204, 36.61865602, 
##     23.07059025, -8.554004511, -27.71093798, 4.869848449, -32.12885893, 
##     -35.62294762, -53.18080969, -43.81490306, -52.76551672, 0, 
##     -13.14021734, -6.642115954, -5.229466941, -4.10766285, 17.2864876, 
##     28.28653578, 70.5456015, 87.60580506, 41.72199517, 39.04633034, 
##     18.65761489, 21.96600719, 19.99563226, 26.81069273, 15.9226893, 
##     26.00508977, 11.06572212, -5.835429696, 0, -20.78657721, 
##     -10.66513285, 4.37408936, -13.25515323, 7.439802864, 12.54066481, 
##     15.83372747, 5.786377787, 0, 18.04014485, -14.03167113, 18.42261429, 
##     60.20279054, 25.17884763, 22.48086509, 38.42662497, 23.50022336, 
##     63.97841737, -31.27667219, -39.94614344, 36.20779022, 62.72377404, 
##     63.2748835, 13.58051633, 0, 0, 0, -22.99421052, -10.26432443, 
##     17.20668516, 23.50022336, -33.92247615, -32.73349691, 8.174065319, 
##     29.75698609, 6.360705479, 3.753814654, 10.9399267, 11.18622603, 
##     21.36205913, 22.47998832, 16.1752866, 5.072376105, 25.84171975, 
##     -19.73955598, -41.3, -21.36205913, -58.23306412, -32.07139242, 
##     -76.57852911, -14.04897018, -27.8299659, 38.05063771, 42.05343353, 
##     40.93519194, 36.88093077, 19.1647195, 52.00274911, 36.12031886, 
##     21.70885726, 24.7214804, 22.25268842, 25.99135707, 6.63845604, 
##     21.5125892, 16.29414786, 14.17385903, 13.00066583, -18.75077692, 
##     -87.60580506, 12.0265715, -26.1709075, 42.05343353, 18.1, 
##     4.715792899, 37.51143473, 64.25656909, 28.9873469, 80.02008405, 
##     34.86118559, -55.34206236, 35.42041058, 18.17747646, 11.40229373, 
##     -6.972979491, 5.865466468, -22.42495806, 0, 0, 6.316142761, 
##     7.677189127, 5.835429696, -6.135241634, -4.989616804, -9.905554468, 
##     0, 9.288126826, 0, 15.68156853, 0, 0, 0, 0, -7.338941909, 
##     0, 9.905554468, -5.072376105, 0, -6.135241634, 11.65110628, 
##     -6.193804083, 5.072376105, -7.338941909, 6.229756883, 0, 
##     0, 4.551729119, 5.417953886, 11.23908964, 12.58228904, 6.055976348, 
##     15.68156853, 18.22437579, 5.54132321, 5.43392825, 0, 5.845390622, 
##     8.06697625, 0, -6.972979491, -14.15412545, 5.71973772, -6.181957436, 
##     -25.09060767, 0, 6.527916052, 6.857259871, 7.338941909, 0, 
##     -7.059317928, -6.193804083, 0, -6.642115954, -6.656816378, 
##     6.432678883, 8.28553568, 0, 8.06697625, 0, 0, -7.588260755, 
##     -5.637347109, -5.072376105, -50.28053784, -51.40355738, -50.90213877, 
##     -50.83744588, -50.42669922, -50.31046367, -51.0785294, -51.74720384, 
##     -50.7096425, -49.87491042, -50.99602909, -50.8469783, -50.06955196, 
##     -49.74001245, -49.66654434, -49.53148773, -50.39645981, -50.65078429, 
##     -50.70604152, -50.80151501, -51.76295025, -50.79224986, -49.75486507, 
##     -50.24148996, -51.43559821, -50.27831933, -50.02963463, -51.27597345, 
##     -51.24404179, -51.34595894, -50.37861218, -50.2883921, -49.88606667, 
##     -50.28988415, -51.51239832, -52.21473166, -52.24151791, -50.34011363, 
##     -50.84239976, -50.22061543, -49.82970966, -50.01452493, -50.8738668, 
##     -51.50799165, -51.07980889, -50.73571859, -50.33143734, -49.97101424, 
##     -51.21154377, -50.09909378, -50.37106341, -50.47452421, -51.07980889, 
##     -50.67510137, -50.67510137, -50.64290524, -50.67510137, -51.17877385, 
##     -51.00810871, -50.97872186, -51.10909807, -50.70604152, -50.91022011, 
##     -51.10909807, -51.21154377, -50.44193434, -50.74151291, -50.57477479, 
##     -50.77636223, -50.50619491, -50.57379417, -50.80151501, -50.8738668, 
##     -51.17293844, -50.80815251, -50.60787942, -51.00660756, -51.31793958, 
##     -50.53660238, -50.67510137, -51.17293844, -51.70795178, -50.912623, 
##     -49.96529072, -50.20091228, -51.28176747, -50.91022011, -50.60389287, 
##     -50.47244631, -50.57379417, -50.57379417, -50.47283503, -51.28176747, 
##     -50.70951619, -50.34157052, -50.25957206, -50.6061852, -51.31393884, 
##     -52.32198311, -52.43245556, -50.50190266, -49.19191258, -51.37346517, 
##     -51.48314609, -50.67510137, -50.63913793, -50.9330264, -51.67827104, 
##     -51.4495092, -50.81109936, -50.57535272, -50.37364503, -50.70604152, 
##     -50.94159613, -51.04447724, -51.16908877, -50.1313406, -49.9, 
##     -50.81109936, -51.01223853, -50.70951619, -50.60389287, -50.40446843, 
##     -51.1142019, -50.90619641, -51.24303577, -51.21154377, -50.91022011, 
##     -50.83867466, -51.07543049, -51.04447724, -50.57379417, -51.24303577, 
##     -51.04401586, -51.04447724, -50.81109936, -51.14731214, -51.24303577, 
##     -50.70604152, -50.94159613, -51.01223853, -51.21154377, -50.94159613, 
##     -51.01223853, -51.14731214, -51.10909807, -50.40577219, -51.1142019, 
##     -51.01223853, -50.94159613, -51.10909807, -50.877571, -50.03729787, 
##     -50.80151501, -51.61496065, -51.34426394, -51.12371352, -50.60946051, 
##     -49.8956334, -50.84408641, -50.70900687, -51.00720679, -50.20322571, 
##     -51.94652274, -52.3, -51.73880908, -50.56697007, -50.95114443, 
##     -51.28061921, -50.97472567, -50.56573957, -50.66030976, -51.94686254, 
##     -53.03047592, -50.58196781, -51.82788048, -53.7076014, -50.49673875, 
##     -47.02789414, -51.55949098, -52.12816451, -49.21868466, -49.48841517, 
##     -50.06787103, -50.437435, -51.0437581, -52.05689378, -52.28555275, 
##     -52.49980115, -50.77900912, -50.1313406, -50.23846101, -51.28176747, 
##     -51.31800099, -53.9099096, -52.31633931, -50.9330264, -54.34482959, 
##     -53.53294445, -51.49036427, -47.3835565, -49.16550232, -52.28076732, 
##     -54.29558667, -53.30763788, -51.95905215, -51.47954604, -50.17167614, 
##     -51.10909807, -51.1154676, -51.66058369, -51.69493711, -51.40903125, 
##     -51.66023515, -51.04030815, -51.51207931, -51.97815298, -51.67827104, 
##     -51.34629631, -53.79945995, -52.50240145, -49.21223675, -49.1386466, 
##     -50.46676078, -51.04030815, -50.73531429, -50.97555216, -51.83820097, 
##     -50.80712846, -50.70900687, -50.2090199, -50.94323599, -51.40936516, 
##     -51.31393884, -50.90966642, -51.30915346, -51.07287348, -50.44193434, 
##     -50.24078904, -50.74151291, -51.04401586, -50.17167614, -49.21868466, 
##     -49.04145409, -53.27570693, -57.24937789, -49.71147493, -49.22769704, 
##     -44.36702735, -52.16560542, -51.857862, -50.00604213, -50.37915527, 
##     -49.83815096, -49.76762184, -49.68256198, -49.85222939, -50.94323599, 
##     -50.44159758, -49.63658583, -50.27272093, -50.57728195, -50.41145381, 
##     -51.17877385, -50.57379417, -50.37106341, -50.80712846, -51.20475013, 
##     -50.27093489, -50.67345721, -50.4074226, -50.17175755, -50.17976199, 
##     -50.93879175, -51.27499704, -50.44193434, -50.00604213, -49.97064756, 
##     -50.67510137, -50.67328323, -51.56633364, -51.58445681, -52.03008904, 
##     -51.84838286, -52.37527449, -51.74739999, -51.30915346, -52.39053185, 
##     -50.64146803, -50.87058299, -51.14473358, -51.21154377, -51.10032032, 
##     -51.70795178, -51.1142019, -51.07980889, -51.54686413, -51.38175798, 
##     -51.24256238, -51.70669072, -50.63913793, -50.23846101, -52.32615091, 
##     -50.90966642, -51.81997036, -51.4162774, -52.4922877, -51.98257906, 
##     -50.47797236, -52.43520194, -51.94751621, -51.37267442, -50.93697776, 
##     -51.62076098, -51.48314609, -51.37736347, -51.4495092, -50.83442788, 
##     -52.19046092, -56.25027901, -56.55272252, -51.19700153, -47.8572059, 
##     -52.50175928, -52.65063647, -55.63654508, -51.54437653, -51.62671251, 
##     -45.38133375, -42.6259354, -42.07406682, -44.04650258, -46.2097037, 
##     -46.68496038, -48.57234484, -51.80943647, -50.09056254, -43.11789942, 
##     -46.91666433, -46.613395, -43.71989029, -44.46905234, -41.56333361, 
##     -39.17677097, -41.33762807, -40.84226992, -37.15529449, -39.0739726, 
##     -39.6588521, -39.32374413, -39.56916345, -39.51031271, -38.49902352, 
##     -39.82428467, -41.77722979, -41.6830566, -48.50083124, -31.89295783, 
##     -36.7922388, -36.94262045, -50.63776174, -51.86508257, -52.20778719, 
##     -58.85559504, -42.96561, -46.47093375, -43.3380107, -51.25781544, 
##     -50.1313406, -51.51092846, -52.83350809, -54.04571727, -55.82791443, 
##     -35.98240847, -41.78012653, -50.80571985, -51.02996801, -46.58125693, 
##     -46.02760685, -48.94599457, -53.08675619, -52.70825421, -50.2883921, 
##     -49.97708717, -50.1326665, -49.93349264, -49.44831449, -47.98520205, 
##     -46.44149505, -49.36551088, -48.7449693, -44.82181902, -45.19925786, 
##     -44.96632955, -41.46303967, -43.35186685, -41.53262545, -43.03147873, 
##     -42.18526182, -37.72536316, -37.9066334, -38.09594195, -40.71329662, 
##     -38.91538006, -38.75409309, -40.2368173, -42.6694081, -41.14897088, 
##     -41.55628656, -40.61350444, -49.80317583, -27.55995216, -58.09415071, 
##     -45.01571139, -33.92275813, -51.78511894, -47.17734904, -39.04871854, 
##     -38.1153812, -51.84289291, -62.51987429, -38.4111088, -35.17433926, 
##     -39.74826074, -48.7347136, -57.61976479, -49.89924538, -49.67445407, 
##     -51.07083639, -50.83907433, -50.19147285, -49.1000898, -47.24019414, 
##     -47.5795149, -45.10889968, -45.25874134, -45.70008658, -42.97208332, 
##     -43.84278251, -41.52163411, -43.68147303, -43.62998291, -43.6250218, 
##     -39.56084965, -32.98352945, -34.4456371, -37.72382175, -37.73942524, 
##     -38.09861815, -40.69667885, -39.4096708, -43.43676759, -43.57966527, 
##     -48.83110106, -41.50662533, -31.41746452, -47.87342691, -36.94300218, 
##     -37.74965122, -35.14620443, -44.68380324, -54.04195003, -53.4, 
##     -45.11530973, -40.46563747, -46.28918164, -49.77590014, -52.35924454, 
##     -50.35631139, -44.32204664, -47.37107883, -45.2481732, -50.50697013, 
##     -57.01005271, -54.28429037, -56.68257525, -56.71053932, -54.4295354, 
##     -51.40968868, -47.02100253, -48.32263739, -44.73299893, -44.43482941, 
##     -46.29353181, -42.73977298, -43.84684743, -43.1272536, -40.6, 
##     -42.23834303, -43.72891742, -44.37989559, -42.30180817, -39.19385145, 
##     -35.79142099, -34.64316634, -36.47094009, -34.60198718, -35.93753817, 
##     -36.33383536, -35.6595682, -37.43334627, -38.58925734, -37.90925169, 
##     -38.98380038, -40.79788832, -39.192025, -44.50829658, -31.50439774, 
##     -45.48740459, -53.10860089, -45.72929462, -51.42187532, -38.1738054, 
##     -37.03399571, -42.93678199, -52.05761966, -55.45715282, -52.36722658, 
##     -49.08780675, -50.61779997, -43.85186858, -45.64078603, -47.9764152, 
##     -50.54495253, -54.27875922, -53.87524644, -47.88805283, -47.41254318, 
##     -45.40009738, -48.1909891, -48.54178907, -45.0222493, -47.78801147, 
##     -46.73984227, -44.26487661, -45.66074167, -49.78885068, -44.336061, 
##     -40.33685482, -39.70972122, -38.01426763, -39.88510716, -39.96181858, 
##     -38.63992789, -40.17149449, -42.1226905, -42.03054971, -43.78399957, 
##     -39.94329474, -42.00335812, -47.04967172, -42.57573984, -55.38851281, 
##     -44.61276453, -52.1340992, -53.41744358, -50.98263652, -53.23988113, 
##     -50.86781802, -50.00484637, -50.20181464, -53.12910904, -55.9248041, 
##     -47.39655119, -46.23250685, -45.0318495, -42.59074314, -47.51354944, 
##     -54.14565111, -57.78086774, -53.98066401, -49.83247098, -48.92755692, 
##     -48.46472001, -50.13287988, -46.80987405, -45.0119242, -46.22031154, 
##     -47.26498809, -48.75124153, -44.83860514, -45.88678614, -46.80874895, 
##     -46.61862561, -46.97414998, -44.56616463, -47.54313333, -46.21213251, 
##     -45.51146887, -43.04396969, -36.96645232, -34.17532219, -35.50315113, 
##     -41.97779267, -41.27648957, -43.11987216, -44.62601882, -38.41296523, 
##     -50.12354139, -36.32919777, -53.21025175, -36.22025211, -37.56857642, 
##     -52.81790734, -44.65202345, -34.77290331, -45.69411627, -58.55446926, 
##     -50.80281986, -38.38792005, -36.11720526, -52.79665775, -49.16754, 
##     -48.94303078, -53.32939768, -58.18640484, -62.00308654, -59.60090038, 
##     -57.85164737, -49.83239498, -41.99962573, -42.3326382, -47.3, 
##     -51.41617223, -49.59384034, -49.97064756, -51.48314609, -52.68763813, 
##     -53.6243185, -47.55183915, -44.65905242, -48.60353915, -51.24638942, 
##     -46.23680595, -46.70229982, -46.19610862, -46.74105563, -46.63107908, 
##     -46.69968383, -41.38112781, -40.381952, -44.2775975, -42.93678199, 
##     -42.4024151, -42.97746216, -48.38256054, -45.83572282, -40.70615827, 
##     -53.69758195, -46.2301874, -56.58654298, -52.07579431, -43.79886973, 
##     -51.38192032, -48.93104372, -55.37159264, -53.96265204, -48.16131372, 
##     -52.01812212, -57.82887585, -62.6332475, -57.08434947, -51.38275407, 
##     -52.38376839, -52.02838712, -51.7, -51.54968492, -50.37250767, 
##     -52.7202312, -53.09000347, -52.8101764, -51.07287348, -56.44291633, 
##     -53.12883112, -52.76584856, -51.59220799, -56.67523258, -51.42645162, 
##     -48.88997164, -47.19406377, -49.92438808, -48.52187331, -50.01452493, 
##     -48.26293136, -48.1260684, -50.43019958, -50.58260892, -47.84457775, 
##     -49.96512965, -40.05360761, -36.4419085, -36.41956604, -37.81727881, 
##     -40.24759727, -42.05992964, -43.44823247, -42.86878835, -44.94714897, 
##     -45.42899234, -47.66556986, -46.5844316, -45.76041279, -46.75675209, 
##     -49.7222221, -43.50008128, -58.27475378, -39.07335388, -49.13931945, 
##     -57.03724823, -47.32891835, -43.6778865, -54.11074006, -50.9, 
##     -47.96837914, -45.71044663, -52.66970662, -57.2963226, -61.81086623, 
##     -61.54482096, -41.9965317, -41.27223355, -57.97280932, -56.61081827, 
##     -55.40273979, -50.17531817, -49.0664474, -51.09740117, -48.81632698, 
##     -48.2862255, -48.04252557, -46.70781655, -47.92812203, -46.29353181, 
##     -44.20094714, -44.37006947, -46.31240635, -47.52472796, -44.33342818, 
##     -45.69499545, -44.90854861, -42.47373414, -37.7, -34.33918055, 
##     -37.04989031, -37.27442587, -40.92596668, -42.32767202, -41.07096834, 
##     -39.22214235, -55.1226303, -61.75732662, -46.91503907, -57.88774323, 
##     -54.38821118, -45.21256533, -43.40592596, -64.17822017, -46.81094501, 
##     -40.9, -44.9366768, -51.12534404, -52.32615091, -58.49738634, 
##     -54.60308566, -51.73790612, -44.34591439, -49.26268347, -49.39271165, 
##     -46.74278314, -46.96292762, -45.68962363, -57.41932746, -57.8060423, 
##     -56.94019328, -56.66158168, -56.31058952, -56.14890641, -56.26263311, 
##     -56.86926888, -58.24691607, -58.06761135, -58.87112414, -58.30619195, 
##     -58.30619195, -58.32883589, -57.65966507, -58.23929901, -57.773634, 
##     -57.49920068, -56.80058915, -57.16137526, -56.61226378, -56.63557046, 
##     -57.58464917, -57.38594989, -57.9169031, -57.57387851, -57.65966507, 
##     -57.65373316, -58.11559853, -57.94862566, -58.09182061, -58.48121092, 
##     -57.59609728, -59.6291105, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -61.30623892, -61.30623892, -61.30623892, 
##     -61.30623892, -61.30623892, -24.52547004, -25.60363018, -26.52408576, 
##     -32.11094081, -26.59567079, -25.93333757, -23.55297636, -24.12979064, 
##     -22.71629272, -21.74543815, -22.56883967, -21.86422734, -22.17224689, 
##     -20.22569502, -21.03664648, -30.95418062, -29.32468631, -29.19577904, 
##     -29.21627165, -27.81205264, -30.43438262, -31.17485312, -31.78186195, 
##     -31.72182337, -32.45351821, -34.46357425, -37.50112912, -33.34232397, 
##     -29.28605848, -28.58723688, -27.22903169, -29.99035772, -28.60069642, 
##     -27.6075777, -26.00562496, -28.51600785, -33.22685966, -27.1, 
##     -23.357525, -26.38607537, -28.01469715, -25.23391937, -26.22642514, 
##     -22.93577213, -32.30197403, -25.16653129, -30.97751409, -22.80051354, 
##     -24.46774038, -28.27781131, -31.84785484, -28.36545714, -28.25050615, 
##     -31.09626131, -32.14489577, -22.0157774, -33.97034236, -37.9526314, 
##     -19.16339971, -19.69690872, -19.63041447, -20.10416042, -19.41596103, 
##     -20.00567694, -22.69666053, -22.87275303, -24.17803686, -27.04393902, 
##     -26.65574595, -28.25930415, -28.18721684, -26.51764149, -29.8845616, 
##     -26.97406823, -28.44160387, -25.93531367, -31.21345874, -32.43922495, 
##     -21.9, -18.99111786, -17.97860698, -18.98453932, -22.19849193, 
##     -19.76653428, -22.04037841, -23.58672246, -23.02527417, -25.82973087, 
##     -24.57209802, -25.52906742, -27.0549763, -26.88969503, -27.01165867, 
##     -25.42917863, -29.07003205, -27.62586662, -26.45396361, -24.70513342, 
##     -25.90975241, -19.57390353, -23.5456112, -23.65219739, -24.39359775, 
##     -22.92345438, -17.30718834, -18.52285077, -20.55270795, -16.13077734, 
##     -16.4797158, -14.76671648, -15.85418103, -16.12503847, -22.27535128, 
##     -25.69781396, -26.0232283, -24.2335091, -27.99070736, -26.75380948, 
##     -29.8, -30.36051801, -30.4441132, -32.34860141, -32.12795661, 
##     -33.40465703, -32.71912981, -31.75670032, -37.64809154, -36.35165205, 
##     -32.0730187, -30.9664371, -36.74887996, -38.5507691, -35.45166111, 
##     -32.18338881, -28.9921617, -32.50626192, -33.14623533, -32.15840172, 
##     -31.85716745, -27.91269351, -28.68128835, -31.46691449, -29.98559956, 
##     -29.35212562, -24.91343685, -23.84391831, -27.66628431, -26.13766153, 
##     -24.85010353, -24.21562338, -28.62798428, -29.2435497, -32.31574849, 
##     -29.404444, -29.9462229, -29.74061217, -32.9109844, -29.79916308, 
##     -29.35432215, -26.55416173, -32.69674653, -30.43003069, -36.38020419, 
##     -33.90380305, -32.87771545, -37.016848, -42.62388609, -37.17659249, 
##     -31.87323782, -16.37587664, -19.86379625, -19.13749922, -49.21144206, 
##     -26.70422682, -25.91999375, -30.00209613, -23.0982739, -21.70658375, 
##     -21.02413768, -16.24033701, -20.36838047, -22.41493903, -29.42487251, 
##     -30.89521537, -20.52979648, -26.70422682, -43.20825274, -18.6, 
##     -23.01111821, -24.85862532, -9.288126826, -42.28539261, -51.77351648, 
##     -46.48922955, -7.126218525, -16.51486774, -17.30718834, -20.67863433, 
##     -36.67340591, -28.83341748, -29.13164728, -32.45066917, -35.12068411, 
##     -34.9770646, -25.8717411, -27.92395466, -22.14940182, -26.09102981, 
##     -27.0549763, -26.39228481, -25.06869231, -30.43003069, -32.12885893, 
##     -29.97074379, -37.67623417, -38.99993486, -40.00782551, -49.65477659, 
##     -60.7834956, -62.54608276, -48.36239426, -41.67824656, -40.13939761, 
##     -34.90150202, 0, -26.1452413, -30.72321655, -29.68168029, 
##     -38.25219028, -51.43616739, -19.73955598, -15.58603777, -25.35516304, 
##     -29.82368611, -33.47984062, -15.6996769, -12.94306452, -16.86588682, 
##     -22.01195515, -22.48086509, -21.94467196, -9.101121098, -14.9, 
##     -19.1199992, -9.41186173, -36.67340591, 41.32738085, 61.47535397, 
##     49.25408519, 0, 18.13052347, -7.283979777, -34.22407133, 
##     -62.09575195, -88.20582268, -95.97770124, -83.3362228, -24.96329494, 
##     -2.086202641, -2.484008946, -14.79814607, -19.77571279, -31.54587474, 
##     -34.29638559, -49.31831267, -34.2, -22.86197132, -17.66292015, 
##     -14.77569257, -18.08864505, -20.39915046, -29.34677253, -22.04495225, 
##     -15.68156853, -23.86177106, -33.47586534, -28.36760759, -17.92105002, 
##     -35.05504121, -33.47586534, -29.78689166, -27.40204223, -19.50863023, 
##     -28.24157452, -24.0835316, -21.35460154, -20.75475294, -23.6171527, 
##     -23.79411248, -25.53107419, -22.79726859, -26.63686759, -23.6171527, 
##     -24.48638542, -23.6171527, -18.21597428, -18.21597428, -24.77834762, 
##     -20.75475294, -22.99421052, -26.63686759, -29.43620788, -22.7695452, 
##     -17.24028579, -12.64854426, -15.57553068, -12.39298345, -10.32377435, 
##     -2.338474993, -40.39333065, -42.26202329, -45.52044825, 16.51486774, 
##     7.393903766, -11.05820194, -39.47911197, -69.47382762, -62.12911315, 
##     -41.80918584, -30.14068397, -23.0982739, -21.90697646, -22.90568225, 
##     -22.6400988, -29.06931658, -24.87229473, -28.74501967, -20.4112606, 
##     -17.57010908, -16.05611392, -12.80088863, -13.07764205, 0, 
##     21.89308537, -11.11879651, 15.00025405, -43.12864637, -52.82587394, 
##     -37.59084069, 0, -58.03144426, -39.06962797, -34.70699441, 
##     -36.42317128, -31.45897426, -69.33173697, 34.74514012, 43.29943368, 
##     39.06070437, 7.388856138, 1.33030173, -13.11309782, -40.9571262, 
##     -54.36386134, -40.27394447, -31.54587474, -39.93250602, -12.6, 
##     -14.44802059, -20.0533755, -24.33608496, -30.9045539, -25.3179802, 
##     -7.485984771, -8.620847918, -12.13430661, 14.18078531, -28.97768474, 
##     -51.74895869, -37.82742768, -33.71105153, -12.01872714, -8.578449739, 
##     -11.37920071, -23.95360312, -19.74740996, -21.37450582, -20.89065412, 
##     -14.98303229, -21.5971921, -25.39852789, -20.05298974, -12.34044667, 
##     -18.88756132, -22.31438429, -25.01294634, -22.33058681, -18.21066504, 
##     -26.83662109, -20.12941623, -23.93678178, -17.9790682, -18.77646973, 
##     -27.10325635, -23.20924188, -13.22845102, -12.53004989, -18.59701734, 
##     -10.5960556, -27.07956855, -48.29372785, -42.9, -36.41788051, 
##     -18.3749257, -13.46376116, -28.99860062, -34.31850258, -31.53400566, 
##     -39.40181223, -28.59344285, -33.2843747, -38.12120691, -31.07662946, 
##     -22.67988481, -22.42495806, 13.63476062, 4.104201821, 13.27135627, 
##     29.78392402, 35.12068411, 32.17505544, 46.2264958, 21.73733646, 
##     37.87938928, -12.34044667, -8.9, -24.35211898, -16.63943316, 
##     -19.85934626, -19.08939271, -20.76833903, -17.10064976, -23.86177106, 
##     -18.3749257, -26.39228481, -33.62857407, -8.512991493, -18.10582255, 
##     -16.28064501, -17.87724178, -25.2456422, -34.61178583, -26.1452413, 
##     -2.066951173, -8.459743742, -51.60739559, -59.07771879, -32.47932193, 
##     -57.828073, -30.62773692, -22.48527221, 5.247435631, -44.92401546, 
##     -58.16965592, -21.92522451, 0, -42.21492605, -40.41976478, 
##     -23.42430464, -20.0344996, -13.84919262, -17.70902352, -8.4281776, 
##     2.18809128, -11.86557428, -24.02054634, -32.50411456, -16.716135, 
##     -14.94431378, -14.81618277, -9.275632019, -9.391179326, -20.40774715, 
##     -34.6, 0, -31.81454578, -19.37031528, -6.133959047, -12.09253589, 
##     -13.71825614, -17.66323257, -17.98080625, -37.27904994, -25.50030237, 
##     -23.82745208, -15.57553068, -8.017848314, -29.54734802, -25.3179802, 
##     -24.01427809, -66.34345796, -45.20157234, 34.54349539, 2.772790155, 
##     -61.24954851, -26.09102981, -13.18137626, -67.75879711, -42.99704408, 
##     -32.34648524, -4.500732044, -14.04897018, 86.9, -58.16965592, 
##     -56.39426414, -87.62588612, 0, 11.40229373, -61.54797087, 
##     -91.04078243, -36.28221719, -35.85653675, -36.26867051, -19.71556135, 
##     -58.6979672, -33.4899888, -8.20151066, -12.55471349, -42.45966025, 
##     -49.31831267, 5.626183282, -15.83372747, -57.95045292, -57.60493955, 
##     -21.49110876, -17.73172701, -22.5, -38.73943414, -25.9092476, 
##     -13.80878714, -30.43003069, -24.28065629, -11.47488011, -16.56435734, 
##     -7.120696056, -17.71432929, -17.43768582, -17.54801795, -22.17465309, 
##     -23.07630185, -19.5910096, -28.80816981, -36.86141231, -22.57983448, 
##     -14.79814607, -13.95366524, -16.96964877, -14.27620433, -14.92950177, 
##     -21.35460154, -17.70902352, -37.59452679, -42.4670928, -48.16400711, 
##     -8.577573084, -15.22066198, -9.06598872, 0, -20.93180761, 
##     -34.25361846, -44.02463652, -27.54335248, -36.38020419, -39.42443751, 
##     19.73955598, 0, -50.64446434, -32.0398588, -21.09888812, 
##     81.48269164, -10.77636665, -16.81714082, -43.15378301, -27.71093798, 
##     -49.81594206, -37.61680723, -9.329579797, 2.598791017, -18.63817578, 
##     -29.13999456, -39.22929993, -34.37218585, -16.63503566, -10.66513285, 
##     -5.220551542, -20.91162043, -13.71725226, -19.54620252, -22.72899172, 
##     -19.47776427, -12.22464035, -2.563540852, -12.38579901, -16.75786568, 
##     -9.132959692, -8.3, -14.57638519, -23.77308695, -10.19077498, 
##     -5.921759951, -29.22166383, -15.36733251, -17.36450116, -12.78054364, 
##     -99.42310584, -8.28553568, 33.59754482, 73.78150601, 60.96716945, 
##     -27.71093798, -42.22922583, 0, 17.49690457, -42.05343353, 
##     14.04897018, -9.267053761, -20.39001248, -21.73733646, -29.82630781, 
##     8.465004224, -25.86639632, -45.73992599, 3.92031311, -3.302891426, 
##     -17.01191643, -27.00558514, -19.14007471, -2.241866986, -13.16550018, 
##     -18.38948489, -13.26097949, -12.60100559, -15.03034691, -15.26493284, 
##     -8.495496845, -11.53426492, 0, 0, -9.687533739, -30.27459516, 
##     -22.16361066, -20.74962264, -21.55265293, -14.18970546, -10.76508638, 
##     -15.24520926, -11.37920071, -8.603105748, -17.08071513, -44.97995607, 
##     -19.69695924, -19.64603342, -3.33025133, -22.91090957, -27.81313483, 
##     -32.0398588, -5.014648505, -20.97666621, -9.258223702, -23.1477364, 
##     -19.73955598, -46.3647609, 12.43549945, 54.04195003, 69.39805949, 
##     0, 0, -35.5602583, 56.64694457, 66.5196055, 98.27937232, 
##     35.5602583, 10.11878428, 0, 0, -15.22066198, -19.91274947, 
##     -19.1647195, -5.43392825, -17.43768582, -16.45884779, -25.43096298, 
##     -20.72175762, -15.28721363, -18.63734993, -31.95108092, -13.07686551, 
##     -17.06357524, -3.027986901, 6.429354207, -16.43437897, -22.62189975, 
##     -5.051300763, -2.483242947, -26.81069273, -1.907040769, -8.4, 
##     -10.23590543, -19.32239526, -13.860274, -4.994281698, -22.95536666, 
##     -19.93227592, -12.04682039, -31.56189344, -4.817297105, -4.018798708, 
##     -15.88915317, -18.0645341, -2.275864254, -13.31258402, -19.73354911, 
##     -14.97630947, -23.35297156, -16.2, -11.03573306, -18.99882879, 
##     -9.328452139, -33.07842911, -11.13410143, -39.42443751, 0, 
##     23.79411248, 0, 30.62773692, 55.51211676, 61.54797087, 121.4062938, 
##     127.9339532, 41.5952087, 47.51768495, 40.10226149, -7.963988788, 
##     -22.61533865, -16.1752866, -8.3, -8.522879853, -9.671159884, 
##     -5.145715536, -8.983303711, -13.92732557, -20.09426294, -15.1140455, 
##     -13.36002383, -37.58427542, -2.800926384, -14.86996042, -19.89844003, 
##     -7.354362245, -46.05539917, -54.96215215, -12.57234092, -16.89684268, 
##     -19.2, -28.97517014, -23.85752548, -13.7326215, -15.57553068, 
##     -17.31926284, -15.71314477, 6.260882242, -12.75095582, -21.18613757, 
##     -12.12092853, -6.44454186, -5.740643294, -14.46329256, -6.642115954, 
##     -10.10263447, -7.005222565, -11.01191657, -5.992815512, 2.047364277, 
##     -20.7, -28.897541, -15.09802111, -13.7326215, -23.25569418, 
##     -16.47894923, -13.63476062, -6.214700623, -14.70783554, 0, 
##     6.869383546, -18.49732053, -9.452654275, -4.736908509, -15.1140455, 
##     -42.36101247, -30.06848912, -43.24077756, 22.67988481, 65.38271988, 
##     0, -78.53981634, -48.76162427, 61.54797087, 68.9493449, 29.14567945, 
##     66.1067893, 28.61034937, 46.3647609, 31.66654847, 10.36027759, 
##     5.145715536, 0, -34.84396919, -20.63883145, -5.145715536, 
##     5.014648505, 21.23164272, -14.72665249, -14.04897018, -45.81903823, 
##     0, 0, -30.27459516, -18.93664838, -28.53830835, -8.260370588, 
##     -26.3, -46.80302445, -38.78561528, -16.00746762, -26.54399309, 
##     -17.1363592, -20.74264585, -39.77814882, -53.3815683, -17.19341507, 
##     -11.270275, -12.42949419, -16.29414786, -19.83442719, -10.86389483, 
##     -10.01046653, -21.81062905, -39.93250602, -37.05659065, -34.79025905, 
##     -12.77675822, -13.02476652, -18.74835566, -30.77547325, -20.89769337, 
##     -16.17051269, -20.40774715, -24.34272242, -25.4091673, -20.43206217, 
##     -29.40682661, -27.61088753, -4.537649146, -14.79814607, 9.917726108, 
##     19.36583004, 24.04042168, 54.01439777, 55.08643611, 46.2264958, 
##     58.80026035, 71.88299996, 25.09060767, 24.17746801, 19.18675615, 
##     0, -21.83428794, -10.60498962, 0, -21.02413768, -34.14517786, 
##     -16.67192252, 35.62294762, 0, -4.94065777, -21.36205913, 
##     0, -10.36027759, -9.056688594, -27.8000651, -15.52721031, 
##     -23.42397264, -36.88150735, -24.8954131, -20.31681321, -6.55591303, 
##     -2.935257826, 3.712200632, 23.56376594, -16.76362079, -21.36205913, 
##     -3.832946785, 21.36205913, 6.275590842, -14.81618277, -20.99271129, 
##     -15.46996953, 2.963478, -13.51747047, -22.34703999, 2.76641673, 
##     0, 0, -31.40146226, -31.23948091, -32.70465415, -24.79131395, 
##     -24.58925987, -32.00998794, -25.40484421, -26.37663366, -27.54860148, 
##     -31.69980705, -29.28020134, -30.00276069, -31.49962359, -30.2396207, 
##     -29.68205625, -29.06952655, -29.02128794, -31.27636902, -28.00196097, 
##     -30.67754612, -30.24874932, -29.74015549, -30.98158242, -32.7, 
##     -31.80956785, -31.6187897, -28.45642457, -34.16486066, -33.40258766, 
##     -31.72400974, -27.00513839, -27.99498225, -25.03839768, -23.54828268, 
##     -25.08586178, -26.57630589, -24.58755901, -23.10219718, -26.15365806, 
##     -24.24749057, -28.87221271, -26.72409253, -27.03736679, -26.30969362, 
##     -24.23723762, -23.66947432, -23.67950055, -24.32016569, -22.27535128, 
##     -21.46141826, -22.54131847, -21.46077785, -19.2989898, -21.12107372, 
##     -19.68328358, -18.15203083, -17.61949605, -18.41443543, -19.38014604, 
##     -21.48805804, -20.35171969, -28.23289781, -23.99593746, -26.53916524, 
##     -26.06266891, -26.84548541, -24.220093, -23.98326398, -28.04172914, 
##     -32.81758241, -28.72589803, -26.4882737, -30.2961807, -26.58578351, 
##     -25.98804042, -30.09697465, -31.72405145, -25.28331277, -29.32254858, 
##     -22.2294941, -25.17477538, -34.50662205, -35.10546143, -29.71324175, 
##     -25.73723993, -20.44433804, -29.3504028, -38.08900997, -36.03253414, 
##     -23.54988029, -27.83769531, -33.68760755, -33.3, -30.18671676, 
##     -33.83981265, -22.87281768, -27.01108039, -36.06161974, -29.09002104, 
##     -29.74134101, -29.2811757, -27.00385652, -28.89739648, -34.94084604, 
##     -26.60350764, -23.01055868, -24.99898317, -18.98293066, -18.28507318, 
##     -14.04127382, -19.51092244, -10.53239039, -20.45574719, -30.00911398, 
##     -40.00782551, -17.66292015, -21.94467196, -15.03034691, -15.95869629, 
##     -19.73955598, -32.12885893, -22.67988481, -37.64348721, -21.26789693, 
##     -19.9, 54.50675432, 40.93519194, 27.16571237, 48.36239426, 
##     -16.45884779, 0, 6.08956914, -11.04882324, -7.792874591, 
##     -24.67626755, -25.59709495, -6.001202956, 7.82861298, -8.876496194, 
##     4.18976477, -31.32461973, -15.03671779, 15.52721031, -4.10766285, 
##     -28.34956227, -24.23737626, 0, -10.43837639, -33.37025162, 
##     -19.68635308, 12.10094412, -32.09204478, -17.4012708, -13.70661743, 
##     -6.2, -19.18675615, -38.73054101, -26.78062049, -2.69321094, 
##     -3.322888937, 21.3280168, 37.62170338, 48.36239426, 71.4990268, 
##     27.0549763, 0, -27.0549763, -35.85653675, -54.50675432, -46.48922955, 
##     -14.81618277, -46.03666014, -4.846913382, -13.07686551, -28.19456707, 
##     -12.34044667, -15.26493284, -12.56296711, -6.656816378, -12.06785531, 
##     -10.71091788, -29.33465887, -26.55416173, -52.30983274, -43.15378301, 
##     -3.322888937, 0, -17.32456665, -3.769115145, -40.0959815, 
##     -58.8802764, -19.08308573, -32.15449904, -20.02834758, -17.76759649, 
##     -16.29414786, -20.31366874, -22.41047207, -32.1, -30.9413555, 
##     -45.73350598, -61.48913109, -57.67667703, -4.181515085, -9.850136518, 
##     -30.84261202, -21.46022868, -33.21918752, -25.68139174, -15.93391529, 
##     -7.748559293, -12.73440271, -16.60289891, -16.67340048, -10.58269682, 
##     -8.1, -24.29613812, -37.05659065, -31.80731422, -22.41493903, 
##     -20.9033299, -24.00307179, -25.40785925, -23.36598077, -28.2257213, 
##     -22.84370018, -25.15670036, -48.34979984, -18.87656925, -14.75780318, 
##     -10.83242198, -27.46857593, -23.11335378, -22.53542581, -51.34629631, 
##     -50.94159613, -52.56616055, -52.95749171, -51.96924339, -49.4047169, 
##     -50.72422948, -53.50905584, -51.13774054, -50.40446843, -49.44864621, 
##     -51.41913533, -52.71007128, -53.30763788, -53.06831885, -51.19700153, 
##     -51.17616701, -52.5290634, -52.68412855, -52.29387636, -50.7096425, 
##     -48.60277532, -45.91170612, -46.61054592, -49.62223016, -48.58592132, 
##     -47.88349696, -49.42813477, -50.3375714, -49.85066453, -50.18259504, 
##     -49.5131284, -49.64019448, -49.58492599, -49.4560038, -49.66883418, 
##     -49.01573143, -50.37106341, -50.67037558, -50.37106341, -50.17976199, 
##     -50.82963305, -50.20091228, -49.18894228, -50.86229061, -50.47484104, 
##     -51.00720679, -50.27093489, -50.60664111, -50.12115268, -49.44349745, 
##     -50.2, 58.23306412, 53.26930905, 60.21962951, 48.87585362, 
##     45.90909822, 46.7443943, 77.45572056, 10.91636246, 49.01480833, 
##     -7.130746479, -15.99040361, -5.145715536, 4.700140204, -38.00760751, 
##     -20.4022698, -43.44448785, -56.23271266, -35.2878118, -27.67957719, 
##     -41.16246505, -42.05343353, -40.32596974, -45.20961266, -63.70316059, 
##     -35.58278825, 0, -97.99235766, 0, 61.54797087, 23.28681783, 
##     95.53166181, 73.71951886, 57.97530358, 44.81390806, 57.09752061, 
##     58.92729843, 34.81826577, 65.51548482, 62.7, -3.84142156, 
##     11.25687809, -17.36450116, -27.71093798, -6.135241634, -41.90027766, 
##     -12.95814849, 10.83595455, 15.68156853, -76.35368942, -97.99235766, 
##     -78.51819939, 18.14917792, 28.88056489, -4.61921347, -23.3488132, 
##     -28.97517014, -10.80428526, 11.69084965, 11.69084965, 27.84075384, 
##     10.80428526, 43.61493733, -27.56427992, 26.81069273, -9.028959009, 
##     -58.09535541, -29.76707924, -38.81931779, 28.35352049, -32.65213768, 
##     -14.29807735, -15.82821675, -21.36205913, -26.93688999, -35.58278825, 
##     -71.4990268, -77.24284093, -77.24284093, -76.96362406, -65.08203274, 
##     -66.23099362, 7.338941909, 33.93529624, 27.49342323, 24.31608692, 
##     11.71087446, -21.26789693, -44.29110441, 68.1580442, 81.1160634, 
##     29.29171372, 28.77034574, 31.46780874, 62.42166888, 62.42166888, 
##     50.94081782, 38.63944801, 51.56827972, 71.32966856, 72.47111532, 
##     24.41657354, 7.654664214, 13.00066583, 24.41657354, 25.06869231, 
##     -4.669296788, -72.97276562, -114.7365495, 59.08727501, -22.99421052, 
##     -76.57852911, -28.55842493, -24.4, -130.0246564, -130.0246564, 
##     -130.0246564, -130.0246564, -130.0246564, -130.0246564, -130.0246564, 
##     -78.85037734, -70.96703815, -70.96703815, -70.96703815, -70.96703815, 
##     -41.9502937, -18.47757291, -18.47757291, -18.47757291, -28.9873469, 
##     -28.9873469, -16.51486774, -16.51486774, -16.51486774, -16.51486774, 
##     -16.51486774, 24.77834762, 24.77834762, -5.885750595, -56.53263939, 
##     -56.77753228, -56.61540207, -56.69520189, -56.62319225, -57.05699435, 
##     -56.99838294, -82.01758981, -57.02148691, -56.99838294, -56.71838322, 
##     -56.94019328, -56.47281159, -56.29554912, -56.9169642, -57.03317556, 
##     -56.79886387, -56.63557046, -57.36261775, -56.89332219, -57.36261775, 
##     -56.85829996, -56.6584615, -57.1, -56.54097088, -56.84546663, 
##     -56.72778239, -56.80058915, -56.99882029, -56.85829996, -56.76350351, 
##     -56.98540641, -56.74115094, -56.66158168, -57.06645595, -57.04462117, 
##     -56.80058915, -56.99838294, -57.38192965, -57.16137526, -56.46277847, 
##     -56.77753228, -56.55605766, -56.63869543, -56.37947064, -56.80058915, 
##     -56.88219472, -56.9, -57.48893906, -57.34750669, -57.56843186, 
##     -56.57906684, -57.10338277, -56.98540641, -57.41932746, -56.74115094, 
##     -57.8060423, -57.28941067, -57.37295834, -57.52814861, -57.13994746, 
##     -56.9169642, -56.75406542, -57.05699435, -56.6584615, -57.138099, 
##     -56.74115094, -56.63557046, -57.32489478, -57.30186296, -57.12594922, 
##     -56.8, 39.37661518, 24.95732588, 25.90301475, 34.42176745, 
##     38.26072144, 38.70000501, 32.42888109, 26.1309109, 33.13603783, 
##     31.77347213, 30.72481217, 29.03838211, 29.93447611, 31.0509931, 
##     27.9659431, 30.3384574, 24.3328166, 29.68949611, 29.12420094, 
##     36.54927691, 30.58788714, 33.37021765, 38.2898717, 38.03657094, 
##     44.7239972, 41.59787606, 34.124671, 25.56151942, 26.70968015, 
##     43.29717325, 47.69880623, 45.63298383, 26.55354257, 23.98330036, 
##     18.8633159, 32.95978991, 35.92406446, 36.75917744, 29.6670612, 
##     28.08216276, 38.00575367, 32.2, 37.78434878, 41.31728622, 
##     44.66139417, 22.97037962, 13.92111313, 27.50265186, 40.25359652, 
##     35.10958346, 27.37763218, 25.28329211, 34.67421256, 28.72112999, 
##     30.73875561, 33.20594675, 28.42085266, 26.33817659, 30.08454623, 
##     33.54494906, 28.26113622, 26.18250231, 25.60819401, 34.84238091, 
##     42.25135571, 22.76893198, 47.94829122, 28.03270018, 26.05409412, 
##     22.39104163, 23.47226125, 30.69600725, 36.56095244, 21.3435157, 
##     19.73362324, 21.86036157, 31.45300758, 21.06024553, 27.70354937, 
##     35.07287414, 37.42371875, 21.81601069, 24.49499458, 36.82437788, 
##     48.94391231, 34.90347238, 32.01004609, 21.41666703, 30.71545457, 
##     31.30147949, 34.53129482, 28.05116561, 26.42204635, 22.82348766, 
##     15.76686497, 34.22683923, 25.65022139, 20.15977535, 18.61959362, 
##     39.23168077, 30.78070021, 22.33723876, 24.94917623, 20.8733592, 
##     24.16073426, 25.55024997, 18.95775878, 21.66824409, 19.02327162, 
##     20.5, -50.24148996, -71.2, -22.61533865, -71.46929526, 4.132137731, 
##     30.77547325, 12.41418685, 21.80960423, 7.112686245, 45.9619331, 
##     72.97276562, -19.47776427, -6.263269619, -2.103205639, 24.48638542, 
##     90.71094181, -21.73733646, -60.41648469, 3.465488254, -2.686399653, 
##     -30.62773692, 41.82243296, -16.1284652, 8.766851766, 34.84396919, 
##     89.22706925, 38.87684137, 26.28439994, 35.5602583, 34.35808059, 
##     9.774557973, -43.46312457, -22.23548814, 25.82257075, 30.50202469, 
##     36.26867051, 30.35500373, 36.52894634, 32.90269572, 30.68507816, 
##     29.49276981, 28.94359148, 20.55957515, 28.77143979, 33.23389047, 
##     36.55182062, 34.62562926, 30.35500373, 28.78688089, 33.26110149, 
##     47.60196154, 46.27612798, 40.88534338, 16.48989946, 19.26324619, 
##     19.48701717, 39.77708773, 53.07819183, 49.24857659, 49.653687, 
##     29.99988379, 33.47586534, 27.94491247, 26.73954981, 19.73955598, 
##     38.41833093, 19.91274947, 32.90323527, 22.53542581, 40.7730544, 
##     49.65001354, 40.27167856, 38.70214364, 22.35910724, 24.49051668, 
##     29.42600546, 27.98668749, 32.53386664, 26.76500307, 25.03781875, 
##     32.13853798, 30.42057432, 32.1671313, 38.81931779, 37.11644582, 
##     27.18662723, 19.62890752, 27.30565732, 25.35233601, 19.58934162, 
##     18.81623583, 18.6, 25.49950251, 21.84587947, 21.01949213, 
##     26.60392365, 22.1155167, 22.93686515, 28.58707894, 23.36477032, 
##     25.48744112, 21.68105598, 23.21838389, 21.64927259, 24.20542541, 
##     24.6493776, 24.61405549, 22.28811147, 23.90908162, 22.78780653, 
##     19.99613591, 24.16303967, 18.5739686, 23.61791837, 21.04290566, 
##     23.9921012, -8.573139136, -8.018140527, -9.525035697, -11.4948366, 
##     -47.56825836, -31.15448257, -47.51768495, -54.94973555, -45.69374076, 
##     -47.47549004, -46.9612716, -37.69657491, -28.19456707, -28.852906, 
##     -13.56043463, -15.88578961, -17.18188533, -19.26937863, -28.07884953, 
##     -12.67188032, 11.86963685, -13.56259006, -12.09665201, -8.554004511, 
##     14.54551203, 21.42249794, 12.83830526, -3.262026093, 16.90272579, 
##     29.61154772, 42.84311944, 23.54643363, 6.481662814, 26.47955622, 
##     47.10903023, 56.53405198, 54.35845881, 48.96254857, 29.45298343, 
##     2.003241206, 5.229752989, 26.51015428, 24.28198945, 32.05492361, 
##     19.85772353, 20.6690879, 20.9505839, 25.65358324, 10.22133918, 
##     5.426811109, 6.3, 5.427699223, 10.10809805, 11.48660791, 
##     8.723912839, 14.4014534, -2.133624173, -15.12796157, -14.08279118, 
##     -27.92395466, -31.67120423, -33.84018088, -41.60395159, -48.34148514, 
##     -47.20529556, -29.74584324, -20.27470526, -19.12498637, -20.05446913, 
##     -20.95635168, -19.65358255, -20.2177544, -15.0284608, -18.51109243, 
##     -3.462486331, 2.3, -7.05053947, 17.31641258, 2.460401243, 
##     20.83919849, 28.93671531, 21.09472594, 5.175677782, 1.117359122, 
##     11.65633836, 8.419356622, 53.98468902, 58.46414624, -1.089490975, 
##     20.22074853, 15.2253589, 22.02183871, 28.37532037, 17.20668516, 
##     14.1178346, 17.1059148, 11.97078973, 14.52367675, 11.94244464, 
##     5.28311637, -3.693636996, 6.318715498, -15.51339096, -10.36336795, 
##     -12.4065411, -22.12856437, -21.29460481, -23.15354756, -35.77601888, 
##     -41.12299467, -36.6095173, -39.46084663, -39.73672991, -33.78781265, 
##     -39.04647362, -43.50532369, -39.05969071, -35.27534254, -37.5146408, 
##     -40.41497886, -58.09461141, -42.39714266, -37.98449791, -32.09715029, 
##     -32.21215661, -32.00770485, -32.73563741, -36.82847832, -30.75595309, 
##     -22.13876101, -23.0197894, -10.22902329, -7.067577584, 18.94712095, 
##     30.36390346, 2.795206351, 15.6987364, 18.85403195, 19.92977089, 
##     24.88066596, 14.57178004, 18.2374226, 10.32983143, 21.17203908, 
##     15.64236466, 21.86436031, 12.258183, 13.72651709, 23.93879405, 
##     46.91055837, 32.27329309, 4.007286873, 1.811630874, 4.413445442, 
##     1.732614004, 4.131009322, 4.308957901, 8.96163377, -8.107705245, 
##     -8.668782124, -13.20000443, -44.41818394, -45.33095149, -44.45800424, 
##     -46.13841964, -42.2290395, -45.32159997, -54.74754201, -61.6, 
##     16.06403961, -9.000469747, 11.35884749, 38.98848806, 24.34734521, 
##     22.81246692, 22.56551541, 14.74220315, 28.92489691, 31.13553217, 
##     21.11873093, 28.44701879, 11.47667868, 0.911441593, 0, -10.74995719, 
##     -7.975237426, -7.051296809, -15.247397, -17.87764669, -22.23291459, 
##     -22.63580757, -34.03077156, -32.03630074, -43.24322233, -45.78556986, 
##     -63.59487464, -59.18110674, -83.4506573, -47.78800226, -30.27893167, 
##     -27.8, -28.46535961, -30.51179031, -39.02882333, -41.52542166, 
##     -15.55522018, -7.275733174, 2.585510501, 51.27477018, 22.517054, 
##     3.113199332, 0, -2.260548544, 2.524844708, 10.37699847, 17.05886208, 
##     51.88573727, 84.69345695, 66.07741059, -7.436023919, -4.678870048, 
##     2.611832763, 25.4419075, 28.25322107, 10.63305475, 21.10770024, 
##     29.38453386, 30.11125796, 24.67914409, 39.26792319, 25.35113263, 
##     44.5819686, 31.31599285, 15.11764334, 13.5312136, 18.67291987, 
##     12.94543519, 7.674009542, 8.336206034, 4.923826392, -10.35452482, 
##     -7.259251625, -19.07720317, -39.31617399, -42.46603404, -54.06220708, 
##     -62.44746597, -55.31281092, -49.90559517, -58.7960126, -59.04918029, 
##     -57.40566732, -48.00898166, -48.03245866, -46.19792593, -43.57786301, 
##     -48.73227718, -34.67156847, -31, -21.0808753, -25.52617251, 
##     5.64956916, 15.52580663, 65.12720261, 22.16680242, 24.56267524, 
##     29.13579911, 36.67889444, 6.002932745, 30.96273975, 36.06319335, 
##     30.1, -48.84737107, -40.45779909, -37.78428963, -42.94976658, 
##     -45.04091077, -38.34531755, -37.44863276, -27.27129664, -28.49520135, 
##     -11.09452452, -12.44729014, -6.64930398, -11.37971237, 27.70679963, 
##     7.869656843, 10.1367393, -8.297506471, 55.35163892, 76.90188368, 
##     80.4422293, 26.06023917, 8.286869138, -5.246713324, -3.1, 
##     -0.98582391, 18.99882879, 12.59026456, 25.19851493, 24.48879365, 
##     15.26369787, 23.59508537, 31.27315196, 34.87220943, 30.42084943, 
##     18.94713735, 24.99898317, 24.95515331, 10.63451606, 4.227936579, 
##     0, -4.730306438, 0.772675098, -8.243549213, -10.94300832, 
##     -22.11814297, -30.53928852, -36.86980724, -45.99500381, -49.91534201, 
##     -68.20416957, -66.19973951, -76.48627981, -74.63230212, -54.70084839, 
##     -51.89227263, -32.99833006, -40.97491453, -39.68087272, -41.71117232, 
##     -51.72528334, -41.11439197, -45.21752292, -43.19781397, -31.18084267, 
##     -23.83990606, 3.757456511, -4.162453768, 2.003542735, 3.708848084, 
##     10.83242198, 19.28119824, 14.91081832, 3.818945955, 1.882469331, 
##     39.54433499, 29.67672749, 33.88821056, -3.418373534, 6.193804083, 
##     24.07522066, 17.52315266, 3.588249978, 7.573134372, 14.88441253, 
##     22.28236176, 16.71985923, -18.36040103, 26.68627958, 28.89132069, 
##     67.35672338, 68.75629474, 77.71792465, 83.95842099, 88.42486847, 
##     95.31668262, 99.80028829, 100.6756004, 94.8395472, 95.79090022, 
##     97.51537288, 103.7375565, 98.11797017, 98.3, 27.20154673, 
##     39.82572176, 50.80756886, 55.96980288, 59.47047377, 63.67379642, 
##     60.97989536, 85.62967629, 88.66558494, 97.28326955, 97.93698233, 
##     98.7909199, 99.19052492, 100.6617881, 97.25714146, 96.13346919, 
##     96.13422074, 97.78940164, 96.25950582, 99.02003011, 100.8095744, 
##     100.4286573, 99.83843353, 93.85168087, 95.33787302, 87.43685542, 
##     88.08040089, 88.1, 86.20991679, 86.70637847, 85.72773071, 
##     84.60645404, 83.28112263, 84.21551584, 79.03718233, 70.78728286, 
##     72.60316418, 68.37382367, 68.37966691, 52.01375991, 54.66261385, 
##     52.59638098, 34.29785055, 32.77681934, 39.02205573, 37.37921748, 
##     10.58269682, -16.47000617, -80.48836147, -41.67824656, -20.49607591, 
##     0, -2.772790155, -11.85861957, -21.28537205, -51.378053, 
##     -35.99294702, -19.08939271, -27.19050566, -35.62294762, -13.92732557, 
##     -8.232332116, -20.5303484, -38.36405418, -48.52577677, -33.13289917, 
##     -10.43048693, 7.786965646, 21.5125892, 19.28481162, -11.26330264, 
##     -12.38579901, 0, 9.832133555, 3.947710489, 36.09021259, 34.41836527, 
##     45.56568696, 54.28594797, 75, 77.32270459, 87.97410505, 90.27086026, 
##     91.89872602, 101.4277475, 101.2878773, 101.1791554, 103.1746731, 
##     101.2344707, 98.15634165, 98.39938033, 96.02778251, 98.63041351, 
##     93.19067636, 95.75583037, 94.76644652, 105.0386923, 102.6360242, 
##     100.5715182, 98.48175194, 91.57676202, 90.90481249, 86.07250271, 
##     83.41990364, 82.40558536, 79.50810947, 77.8, -46.82127329, 
##     -34.73231769, -31.14358257, -26.78062049, -26.08794583, -14.46539414, 
##     7.373775054, 6.58338151, 16.8335453, 19.09755578, 15.57805044, 
##     18.34513652, 24.63276146, 25.74661021, 29.58534177, 40.23046754, 
##     43.7308898, 54.09682026, 75.47744395, 83.62521129, 85.28265673, 
##     93.55425086, 94.49357523, 92.11349821, 94.96117144, 98.8443705, 
##     98.76518549, 97.38790964, 96.47692595, 98.90562989, 97.96972326, 
##     101.8124564, 101.7, 102.1728165, 106.0402384, 103.0963755, 
##     105.3014543, 101.5742353, 95.25568176, 89.00256829, 86.13798668, 
##     82.7295671, 83.82275702, 79.73993157, 79.03473734, 77.24741152, 
##     75.80084565, 62.13284215, 62.75564813, 63.39711192, 61.04063139, 
##     50.97774239, 61.50874164, 52.67106469, 47.43295456, 51.21279331, 
##     51.21279331, 51.99842163, 31.05837558, 25.72119372, 25.68139174, 
##     -69.38860636, -69.38860636, -69.38860636, -69.38860636, -102.9696801, 
##     -118.2897103, 4.335889962, -5.852894883, 4.429522789, -22.84370018, 
##     -25.99559323, -27.19050566, -12.78425662, -18.24155787, -17.37906437, 
##     -18.85327469, -37.93853926, -44.83527529, -41.96914893, -40.26476992, 
##     -33.11619606, -11.34254198, 14.00481177, 2.108810046, -7.585531317, 
##     104.0098742, 100.7697839, 101.5367355, 99.68252267, 100.1197345, 
##     93.31767428, 96.72476237, 87.02788514, 84.57405228, 79.05050303, 
##     78.53981634, 68.86998342, 70.40437596, 71.42490655, 69.57101427, 
##     65.75402297, 66.69481812, 69.31242632, 46.24687093, 41.41698754, 
##     34.77194896, 36.32858104, 36.31470099, -97.04016195, -100.8362859, 
##     -97.05417485, -60.51988106, -4.868405458, 6.176714034, 2.654971264, 
##     -14.59966951, -8.467321948, -2.641045681, -19.09018152, -42.93144478, 
##     -49.65001354, -43.21491902, -42.68691757, -44.07944775, -47.43861551, 
##     -36.02872719, -19.32239526, -27.81313483, 31.24106738, 12.83677233, 
##     26.09354816, 31.27879852, 30.64491039, 32.08896476, 33.07306248, 
##     36.8103819, 59.0211642, 71.86550724, 76.10236217, 95.03349511, 
##     96.80655505, 97.44182717, 99.69430897, 96.39162002, 96.97447912, 
##     97.79370052, 103.9275937, 108.0499317, 111.1950055, 106.1237365, 
##     101.9550282, 98.57253002, 96.94477309, 84.66931258, 88.09768709, 
##     76.59810794, 72.82981775, 70.09041959, 64.82579284, 64.60684559, 
##     47.81006958, 37.9211134, 33.23844296, 26.52039703, 25.02877636, 
##     18.10596912, -50.19179594, -93.32076859, -53.05322043, -24.41924797, 
##     19.31669721, -12.45423831, -15.18649414, -18.81694273, -5.597464891, 
##     -2.392737128, -8.158936463, -5.448022342, -10.39871659, -21.60849723, 
##     -10.61328203, -13.60493345, -23.10683556, -17.96719569, 1.936854877, 
##     11.8481642, 19.57080499, 28.26547405, 32.91423684, 31.93874217, 
##     33.32717407, 51.0403707, 53.64696263, 71.67072838, 81.56444251, 
##     84.08274264, 94.99398551, 99.67026936, 102.3517261, 99.7304115, 
##     101.2411427, 101.7762766, 103.5657308, 97.41730527, 97.64469464, 
##     93.88920096, 87.97203285, 89.412101, 88.39689614, 85.16163579, 
##     84.03199507, 78.18366918, 73.29721732, 51.90825392, 48.40650105, 
##     53.36858495, 44.41938976, 28.7461515, 25.78883481, 23.60057448, 
##     24.08464552, 3.634161992, 2.082580235, 7.948250617, -4.419777642, 
##     -59.18192013, -91.81176395, 20.48021107, -43.44268288, -25.45113196, 
##     -23.46823712, -14.3922103, 12.48969789, 19.40630974, 5.689570482, 
##     16.98462881, -2.746520469, -34.28838604, -51.24205068, -53.51074004, 
##     -47.15377546, -3.872983637, 2.302860031, 2.356586264, 4.911438547, 
##     4.536189984, 21.08753251, 38.77546708, 66.0219836, 81.29999341, 
##     60.14059947, 51.75507917, 44.73298699, 40.07883227, 24.68067825, 
##     23.7655314, 30.52500295, 28.46566951, 29.8012971, 34.27571307, 
##     34.27571307, 34.27571307, 37.07610329, 37.07610329, 37.07610329, 
##     37.07610329, 35.56358843, 35.56358843, 24.13280289, -13.4321442, 
##     -97.63458832, -52.04206685, -20.82683504, -2.010617295, 0, 
##     2.379828414, -5.330650377, -19.07190377, -12.24244068, -20.8920614, 
##     -22.61533865, -43.56347082, -40.46610728, -4.896043679, -16.61429457, 
##     14.91600113, 4.81931684, 7.019551917, 12.55251527, 28.22039366, 
##     35.76813898, 33.93224827, 66.02442112, 77.94454651, 79.09399701, 
##     88.13819664, 94.40183771, 98.4581934, 102.0655836, 102.4024203, 
##     96.56017052, 98.74228412, 100.3312729, 101.4350227, 107.9303883, 
##     101.4263697, 99.70941865, 98.67605339, 98.51670679, 94.55489962, 
##     92.15227335, 91.29473479, 82.71364731, 69.61786313, 71.03938536, 
##     64.23726523, 56.43153668, 55.43069848, 57.09752061, 39.94287276, 
##     41.41497454, 41.94774618, 29.21928856, 27.4135641, 27.78601775, 
##     -22.11807148, 0, 0, 15.26493284, 11.69084965, 16.48989946, 
##     -8.522879853, 8.515151631, 0, -58.51743969, -21.10933332, 
##     -5.835429696, -64.939906, -19.62045056, 50.50406291, -17.37906437, 
##     -8.568090206, 1.3995028, 1.508471228, 11.18944117, 11.18944117, 
##     14.15685288, 10.67957726, 10.67957726, 12.08017669, 23.90908162, 
##     26.7129093, 26.7129093, 28.08216276, 30.69600725, 35.47427859, 
##     35.47427859, 47.83524314, 49.95449545, 45.74594332, 45.72034802, 
##     51.8444254, 56.93293789, 62.63147188, 66.50630946, 77.36065284, 
##     72.07437699, 53.86057098, 39.8, 32.99112616, 30.98644497, 
##     19.55715347, 10.39364463, 25.48224383, 18.03919258, 6.443352608, 
##     20.89065412, 9.000469747, 19.91274947, 83.72150032, 72.97276562, 
##     7.654664214, 24.27127104, 7.237331672, -32.25767744, -95.45022131, 
##     -9.258223702, -26.96977875, -22.87417647, -20.54483693, -34.60026234, 
##     -38.87924376, -14.87069116, -26.55416173, -4.500732044, 0, 
##     -8.495496845, 12.58782599, 6.544495877, -5.690721946, -16.2165916, 
##     0, -6.204972394, -9.0106135, -1.32842233, 4.181515085, 8.796716505, 
##     16.937928, 22.53542581, 42.81141118, 47.95000196, 49.90481679, 
##     54.09086694, 59.74723177, 71.03198029, 74.57364335, 72.99096983, 
##     66.96743339, 59.01544251, 40.1921846, 38.18525087, 26.71599374, 
##     18.3885481, 27.12637791, 23.92848749, 14.1967654, 9.850689459, 
##     8.24545036, 3.033709866, 10.44329443, 24.19476416, 7.240888211, 
##     30.62773692, 15.98313956, -7.654664214, 10.80428526, 0, -19.18675615, 
##     -119.4361455, 57.82640125, 69.27730441, 78.82698349, 80.71338702, 
##     89.00212023, 92.33032451, 94.53588009, 85.56487909, 81.86653484, 
##     80.75994809, 73.77756796, 62.37564086, 49.24781789, 29.88091035, 
##     20.08340406, 19.20210345, 25.61283735, 5.862158587, 8.940843392, 
##     12.48651785, 4.671130296, 11.52768751, 10.6, 6.869383546, 
##     3.702011587, 0, 26.39228481, -56.39426414, 24.49786631, -27.24263737, 
##     -19.36583004, -35.62294762, -61.90464874, -37.37921748, -45.81903823, 
##     -35.66406726, -18.75077692, -29.14567945, -6.193804083, 0, 
##     0, 0, 5.229466941, 16.4033941, 8.495496845, -1.56986323, 
##     3, 0.859084126, 4.161804851, -3.488077517, -3.198192578, 
##     -16.32380287, 16.94352883, 1.484511977, 10.18710218, 16.24142986, 
##     26.81069273, 29.40277087, 12.78054364, -38.36091291, -32.07139242, 
##     -14.46749664, 19.08939271, 19.57080499, -16.50080914, -8.731504888, 
##     -18.93664838, -34.08150983, -42.85819083, -11.19595932, -13.21971443, 
##     -33.98369095, -24.48638542, -14.88441253, -12.04682039, -16.12038443, 
##     -20.2, -17.06357524, -7.957682308, -16.67192252, -29.54408371, 
##     -9.627485768, 0, 0, -18.39488598, -14.77569257, -7.376282156, 
##     -7.910512676, -15.28887478, -13.40017219, 0, 7.369324289, 
##     31.13202999, 36.63669706, 39.16737446, 46.52477289, 48.49360046, 
##     55.72337469, 59.77839387, 60.82728464, 64.75532122, 79.55142899, 
##     86.2867608, 89.87878462, 80.54381561, 62.3464719, 51.23448979, 
##     46.06421444, 34.01250347, 33.7787444, 24.33506825, 22.26288701, 
##     16.80627471, 12.13066193, 14.8277408, 16.39386621, 9.871269123, 
##     14.67562746, 2.7, 18.62397835, 19.48621196, 19.28362074, 
##     16.3693021, 12.78879709, 22.36079684, 8.29979251, 12.65985171, 
##     11.59980186, 0, -8.310932179, -7.30405653, -39.8479644, -48.22106668, 
##     -89.53036317, 0, 0, -77.02443284, -11.13410143, 0, -24.82795139, 
##     -4.629101208, -3.428627565, -11.46582515, -16.47883874, -26.94447471, 
##     58.79799452, 69.86032274, 64.86072858, 57.25147022, 47.46725942, 
##     44.10028001, 24.99868079, 20.73592342, 9.447168994, 19.7633406, 
##     21.45532883, 20.19731014, -4.564454363, -8.072084963, 3.058280443, 
##     9.384121263, 20.8189167, 14.04897018, -61.54797087, 24.31608692, 
##     0, -43.5249907, -56.47463042, -15.49223199, -18.36040103, 
##     -5.865466468, -11.8, -12.51096727, -13.7326215, 5.573505175, 
##     8.497839712, -7.91891373, -4.529366863, -1.510190414, 0, 
##     -5.783957549, -13.82996606, -16.4033941, 7.049566105, 13.26973329, 
##     -12.06785531, -23.79411248, -38.58826694, -21.0861428, -26.21529333, 
##     -23.90652495, -33.84314737, -17.01304685, -19.65632476, 5.564868529, 
##     60.62659689, -67.34200199, -15.71784814, -6.306366504, -5.681529753, 
##     -4.560661819, 7.218451576, 6.719034861, 1.975202283, 2.852231738, 
##     6.803607375, 9.445904516, 9.405707384, 16.24142986, 21.35573645, 
##     1.574526585, -22.15154894, -54.97969537, -89.41676926, -54.66839238, 
##     -43.65325705, -42.94508941, -23.17715425, -17.07103304, 18.64544799, 
##     35.12635081, 35.83390014, 44.32952769, 45.90338299, 49.30981161, 
##     51.76283734, 50.01902836, 51.6188837, 57.96276175, 70.20257444, 
##     71.73403188, 69.56673871, 74.53793715, 58.56593724, 44.98557331, 
##     24.60957576, 12.02294912, 9.365375067, 10.94720798, -15.10153429, 
##     -49.36907009, -38.05063771, -34.76135039, -24.57868744, -8.17235912, 
##     -8.599349629, 2.353321237, 2.94223723, -2.729840261, -8.988342347, 
##     0, 0, 1.893658663, 60.61440375, 59.36949004, 63.29185119, 
##     56.92380478, 51.39860561, 48.07942488, 48.79161348, 49.90165823, 
##     48.33518559, 39.11540851, 33.51654411, 37.95510065, 31.58247905, 
##     29.47984983, 27.49805656, 37.11823071, 34.8714963, 36.16970258, 
##     41.55631057, 37.17506265, 15.3040133, 18.65319163, 7.085851358, 
##     6.41463999, 2.483051557, 2.617866869, 3.84394342, 10.3, 7.072547315, 
##     12.2494159, 10.09440993, 11.12847187, 7.612848721, 10.85091608, 
##     16.95433839, 12.21039264, 7.773073656, 4.547543618, 6.402120904, 
##     7.506579078, 6.439343737, 13.45548258, 12.14969025, 23.85752548, 
##     17.67441223, 13.40018447, 9.660332583, 5.829229915, 16.48678638, 
##     9.303084756, 14.26167796, 11.93152282, 14.07770445, 11.65110628, 
##     12.85201544, 14.14421092, 10.44381079, 16.41413286, 16.8, 
##     18.53335119, 18.39488598, 16.1752866, 16.11307624, 11.17092057, 
##     11.90001214, 14.66602455, 17.58472947, 15.9567726, 11.51206902, 
##     10.41456541, 8.191567981, 17.44483713, 18.75077692, 11.28259761, 
##     16.83520192, 16.36111679, 15.5, 13.50479388, 11.82742807, 
##     15.97764136, 16.8335453, 17.79602086, 10.99940877, 13.57660799, 
##     8.318818695, 4.546433784, 9.916202199, 10.64813751, 8.69740255, 
##     13.29891685, 11.30852213, 9.73195559, 10.67272292, 8.586764475, 
##     13.45620348, 14.22055978, 15.10327728, 16.04525587, 17.76981296, 
##     15.5122457, 13.43578094, 7.667153535, 8.646825129, 1.47607841, 
##     5.32162692, 13.09702111, 11.2, -42.2639467, -44.51292444, 
##     -45.53398578, -47.13045551, -45.42841873, -44.56915866, -43.46377553, 
##     -38.10374132, -34.87866135, -38.49863318, -39.70263091, -39, 
##     -39.26858319, -40.37022621, -38.90757552, -38.70119965, -38.50583688, 
##     -41.09807467, -42.38860489, -41.79735004, -42.70999057, -43.86914643, 
##     -43.56866377, -44.56857675, -44.88734097, -43.44574682, -44.54300669, 
##     -39.54617932, -36.99779872, -41.95206658, -50.01388182, -46.38678262, 
##     -38.50630979, -43.3636122, -53.81592812, -52.31456901, -47.45195068, 
##     -42.43833571, -45.9, -51.17480564, -51.01783786, -49.36547702, 
##     -51.02801438, -50.15492245, -51.01413272, -51.63050817, -51.46006873, 
##     -51.06896598, -50.66675296, -51.19139465, -52.07402855, -52.18087208, 
##     -51.24940828, -51.42855091, -51.76740869, -51.8, -51.88653312, 
##     -51.83813577, -51.8892558, -51.82870989, -51.58546266, -51.36380182, 
##     -51.28061921, -52.0098798, -51.1469972, -51.94906015, -51.75292736, 
##     -51.68896593, -49.74367967, -50.32507521, -51.23254899, -53.4294941, 
##     -52.96075045, -46.28390876, -44.51821676, -51.34426394, -44.53791592, 
##     -37.69237116, -37.87540433, -36.71687764, -35.82174156, -35.95056473, 
##     -36.38240231, -32.53489755, -23.1456978, -23.25535968, -19.11541339, 
##     -11.948216, -18.16384356, -17.07735253, -17.39890348, -23.19895864, 
##     -24.61092921, -28.32471666, -31.97643707, -34.66014877, -31.46502309, 
##     -27.49832555, -27.34364711, -30.42230255, -31.5796636, -43.77867928, 
##     -40.62816491, -41.72746585, -35.26476901, -35.05625468, -30.7496155, 
##     -25.72018833, -15.33188929, -18.86121593, -19.08512213, -20.31087294, 
##     -17.90915017, -23.70704055, -26.21652871, -25.91801896, -24.49786631, 
##     -26.8780369, -31.95479609, -30.27600709, -29.36943662, -30.49780386, 
##     -40.8, -40.11060504, -28.50293567, -32.16638233, -50.30709485, 
##     -43.83112917, -58.38638661, -53.71060442, -46.58220899, -43.08245717, 
##     -44.82205049, -50.73624556, -53.26488168, -55.02876946, -52.2650767, 
##     -49.38003953, -46.69985811, -46.40765256, -47.80722115, -49.34058275, 
##     -34.00635093, -38.66255553, -37.28069598, -28.9212642, -24.67626755, 
##     -23.67292524, -20.5951978, -20.6, -17.43911387, -16.62809363, 
##     -17.43851782, -14.98410878, -16.13413944, -20.84681819, -16.82514959, 
##     -18.9004604, -22.27049232, -26.16570212, -26.61123822, -33.66551382, 
##     -30.54451326, -34.86381835, -31.09473079, -32.08411615, -36.55296034, 
##     -49.15777449, -46.3961529, -41.40915076, -41.13975399, -53.99094131, 
##     -55.570518, -59.0431028, -52.1, -50.54596287, -50.49412352, 
##     -51.2725331, -53.80697978, -53.30171211, -54.56554527, -54.68567811, 
##     -53.78951129, -48.3226148, -54.06958114, -46.21463344, -43.55496635, 
##     -40.29624622, -39.32351781, -33.51424041, -28.97488879, -26.4200945, 
##     -20.8959989, -18.3, -21.73258955, -20.64856267, -20.90394668, 
##     -22.46547138, -23.81185854, -24.82034598, -26.77804534, -28.58777901, 
##     -38.39850363, -34.88574644, -38.68016494, -38.43697661, -33.7541377, 
##     -38.83857161, -36.27280321, -39.58892161, -48.91390354, -46.50905725, 
##     -50.34949527, -58.18752663, -49.01480833, -46.87804584, -29.83432212, 
##     -31.46026146, -29.95754173, -36.43177526, -37.60980291, -43.58997883, 
##     -44.64189395, -50.7079517, -56.26993216, -55.72255422, -48.24139513, 
##     -47.42802615, -49.72269457, -49.81035629, -55.23980119, -59.72613016, 
##     -54.41840573, -55.1, -47.16277102, -41.18449233, -36.42828371, 
##     -37.14322893, -37.68093811, -37.62820003, -33.72991268, -33.36251933, 
##     -21.33320346, -22.85285924, -19.18948654, -20.9502072, -20.44728169, 
##     -28.54796178, -27.41592373, -28.22335656, -32.70611998, -28.9641587, 
##     -29.70007918, -32.87967095, -42.28622972, -39.85123367, -49.81696835, 
##     -56.54486223, -52.01734626, -54.29776012, -55.64325065, -55.61431346, 
##     -46.37701795, -47.36942527, -52.53243415, -55.33193114, -54.69797965, 
##     -52.78647612, -49.0707059, -45.44183649, -45.12565522, -44.85607718, 
##     -45.42730384, -43.87214137, -39.57479686, -47.01702978, -51.40803931, 
##     -27.828654, -28.58123161, -27.28556022, -25.17300748, -25.38179319, 
##     -21.80960423, -22.40485965, -22.0713873, -21.42564528, -28.43281925, 
##     -27.82291336, -25.04621451, -32.02309493, -29.28209635, -25.95437584, 
##     -27.03594763, -29.88012191, -32.33092477, -32.93555281, -42.56568092, 
##     -36.38991541, -39.39413016, -46.93501923, -60.17554879, -67.50303599, 
##     -60.3608266, -46.88817945, -40.15537552, -54.3276251, -50.87228105, 
##     -46.73932753, -44.36660698, -50.95848281, -52.6180701, -56.48689097, 
##     -40.97539396, -44.47832269, -45.278043, -43.91022422, -40.99544633, 
##     -35.76870218, -37.92152648, -38.64044029, -39.31724781, -30.87812055, 
##     -27.5124317, -26.29954337, -21.19135167, -18.44426669, -20.97294851, 
##     -19.16385002, -21.1, -47.77013493, -49.99801452, -53.42467906, 
##     -49.09370618, -50.07310193, -42.68290089, -41.55580376, -40.99120841, 
##     -37.8326142, -35.6609513, -33.93547149, -27.81243614, -25.45688445, 
##     -22.76303985, -18.49649873, -16.45326946, -18.49562509, -19.3552657, 
##     -18.48705312, -20.39344131, -22.34016153, -24.8286279, -23.25487081, 
##     -23.6731561, -22.7557475, -28.44618276, -27.23240414, -23.4, 
##     -34.92505655, -31.00027061, -34.42674368, -31.00207662, -31.50963667, 
##     -30.39614027, -30.50042116, -35.28514347, -34.33382297, -34.86732455, 
##     -31.53667467, -30.31686013, -29.76162351, -39.2198805, -32.18576037, 
##     -31.21566668, -30.86979033, -31.15406829, -26.72600786, -24.20505906, 
##     -15.29405381, -11.8, 14.20757992, 14.31033984, 4.55645165, 
##     -0.466279436, -0.483771556, -0.485983086, -3.399594213, -13.54492415, 
##     -6.787755611, -4.533042274, -14.95646137, -10.13352603, -19.71763151, 
##     -22.83714225, -19.42770224, -13.9324921, -16.73403829, -15.7606029, 
##     -29.26684419, -30.86162967, -31.11377221, -28.55363711, -27.63256003, 
##     -29.16107908, -30.29570552, -30.32691135, -27.68387066, -27.23281059, 
##     -29.93647672, -30.91751279, -30.41381623, -31.24265786, -29.85634055, 
##     -31.40254184, -31.5184339, -29.98608243, -28.04745564, -29.58984916, 
##     -27.5, -24.58953056, -24.36974654, -16.64745799, -17.72971543, 
##     -18.2263216, -14.17325061, -7.385668074, -3.281433391, -7.12239391, 
##     -1.044807929, -2.507954503, 1.348958502, 4.588283157, 1.934588258, 
##     4.671864978, 9.425288378, 13.44461518, 15.00742125, 16.34508443, 
##     17.03008808, 16.90491643, 15.72676765, 16.13088406, 17.96120635, 
##     17.70575713, 17.80103558, 16.76362079, 9.573212585, 9.101121098, 
##     4.644954293, -0.470721598, -4.332786187, -6.634578659, -4.882835157, 
##     -3.238601287, -14.75212972, -12.13375292, -12.68955188, -17.67647241, 
##     -15.63023443, -14.62852722, -14.37567397, -18.26452976, -20.25617169, 
##     -20.16339491, -26.22776655, -31.70245181, -24.6381606, -31.11824552, 
##     -29.50206532, -21.13751138, -30.28457371, -28.46724002, -27.88028347, 
##     -29.69424891, -27.22731453, -30.29325874, -33.62700245, -30.17089449, 
##     -29.38603724, -35.66847615, -30.83156622, -28.15104865, -28.12990821, 
##     -23.14683029, -22.48042669, -24.37456281, -24.49150605, -26.42338514, 
##     -26.20106529, -25.59952163, -24.69345291, -22.33058681, -12.31669771, 
##     -13.90259182, -3.451809862, 1.454546525, 4.419045018, 8.454429118, 
##     8.492771152, 9.174848459, 9.598880111, 11.2489861, 12.93500116, 
##     11.33770565, 15.17507971, -18.22411307, -18.71181811, -22.93378686, 
##     -15.25473445, -21.29705474, -25.91913357, -18.70057901, -25.707578, 
##     -28.60784652, -19.37680883, -38.75721894, -28.03270018, -18.66999632, 
##     -30.64986622, -22.16361066, -22.77890145, -34.74108437, -35.44323939, 
##     -34.9252751, -32.38052141, -30.91933209, -30.81441938, -27.31280507, 
##     -27.29488188, -30.74817758, -33.55804238, -32.66981378, 14.4023762, 
##     16.55031375, 17.08071513, 21.24471984, 23.77374024, 24.94348728, 
##     26.93480752, 27.63041098, 26.87032204, 19.96733473, 13.10548271, 
##     -0.45631348, -8.312527224, -8.99248008, -11.52973859, -9.976160414, 
##     -12.24400927, -9.796361028, -15.24367048, -21.8, -8.487740892, 
##     -5.537159149, -17.12138154, -18.44078572, -22.49648768, -25.31616488, 
##     -22.05501752, -24.66322015, -17.9799792, -22.79726859, -31.44829558, 
##     -19.70187368, -29.18608015, -32.20805687, -27.9414684, -27.6656093, 
##     -35.03147917, -32.35280107, -24.83286448, -22.72938178, -26.54919031, 
##     -28.53236112, -27.92697366, -33.7, -32.91617606, -33.51014787, 
##     -29.95435012, -29.42692412, -27.63881622, -35.75813103, -28.04173754, 
##     -26.9472485, -27.52104025, -33.87963134, -32.15904177, -39.93425511, 
##     -34.22624272, -29.05996448, -27.59975821, -27.69232513, -24.29209315, 
##     -28.48620366, -26.56017598, -27.30292205, -26.53180265, -21.32875396, 
##     -21.58314651, -24.16706858, -25.16257046, -26.14518136, -19.89620272, 
##     -12.66557702, -7.184155405, -7.603844485, -10.92497352, -11.66086647, 
##     -8.1733095, 4.324924726, 6.130055528, 7.935737846, 9.85213091, 
##     12.62520277, 14.63023531, 15.69214276, 15.52663262, 15.02439075, 
##     17.7573942, 20.74414755, 17.95823213, 21.63922884, 20.67042469, 
##     21.21099699, 22.53706162, 22.1, -25.96355361, -25.08742638, 
##     -28.49086307, -28.70979159, -30.39104476, -29.93917471, -30.74883163, 
##     -29.52662742, -31.59008688, -30.50870169, -29.70136695, -32.68173504, 
##     -35.996481, -34.01169546, -27.82105971, -29.54302304, -28.91481446, 
##     -27.93694874, -23.93762305, -22.39152857, -27.40071334, -26.76162891, 
##     -24.72225147, -22.47664493, -26.8313042, -22.30760874, -19.98103513, 
##     -17.68562662, 5.608039184, 9.848879806, 11.46130047, 11.45340284, 
##     13.62121305, 13.17565426, 12.04806493, 17.99046451, 17.5, 
##     -22.85998311, -23.5629898, -24.72053807, -23.72493904, -27.77509935, 
##     -24.93166902, -24.25073881, -26.66244154, -30.88272103, -30.89196287, 
##     -30.90686979, -24.51811198, -24.03879549, -26.21594853, -24.68694562, 
##     -26.52890391, -30.48365451, -33.53497946, -32.57630687, -32.27283313, 
##     -31.24350466, -30.30350294, -28.62830019, -28.3639965, -29.84370962, 
##     -28.17892096, -28.6701232, -33.47455145, -30.40759547, -28.15104865, 
##     -28.03378395, -29.43866846, -31.36307999, -26.84811344, -21.52110649, 
##     -20.92425806, -23.4961682, -19.46843017, -21.04427573, -22.16446543, 
##     -24.62300194, -23.3428683, -17.47020931, -21.86526078, -23.06552324, 
##     -9.293200834, -6.66705096, -0.944914698, -0.475325402, 5.838398805, 
##     9.630826276, 9.127716307, 9.418390947, 8.079237218, 10.36878275, 
##     10.9, 8.554004511, 12.23712618, 10.36018106, 11.75099468, 
##     13.5990449, 10.88437185, 10.53690454, 11.01704788, 12.54321647, 
##     12.29443142, 11.03608308, 8.449135778, 7.532805598, -14.97445649, 
##     -15.50263281, -23.72447335, -20.83609017, -23.72012871, -20.14304114, 
##     -17.70212713, -18.14027596, -22.22305102, -25.1, -23.84517541, 
##     -20.91320482, -23.87858311, -30.95459218, -29.57761506, -30.92997248, 
##     -22.33049147, -23.28118304, -30.25299701, -27.0419107, -34.6505317, 
##     -29.48430189, -21.86102794, -32.11728215, -34.46797622, -35.75389109, 
##     -27.8226479, -27.75233392, -30.158379, -29.59617957, -31.90423202, 
##     -31.15991769, -29.1678202, -31.71917567, -33.03708513, -33.85146646, 
##     -30.43974676, -29.47367222, -33.2176149, -33.46651705, -32.62551235, 
##     -31.37546194, -28.72988008, -28.84073193, -28.21486317, -26.13141108, 
##     -22.53321809, -25.69170656, -25.11494893, -25.20498681, -26.19573575, 
##     -28.2015738, -30.33140677, -34.27156707, -24.78768812, -16.50042516, 
##     -15.91360311, -18.13060899, -14.84591182, -13.91453258, -13.86326906, 
##     -9.8, 1.423993594, 3.205057541, 5.056060866, 6.059330379, 
##     7.268855354, 8.232787211, 9.131491738, 9.743448942, 10.20889146, 
##     12.64943947, 13.80871571, 13.18283293, 11.89156125, 11.33669765, 
##     13.4238967, 14.29567575, 16.28519547, 19.10297743, 15.25437669, 
##     16.8919869, 19.21857891, 17.57169433, 16.78162713, 15.06608299, 
##     9.541637476, 6.510810234, -9.782933468, -11.61784508, -12, 
##     -16.12425572, -18.01949973, -13.94681639, -16.97596746, -16.57424658, 
##     -10.12639835, -12.01267858, -21.38505252, -24.3487623, -20.63187056, 
##     -19.42579938, -22.93628959, -25.00427591, -26.7100164, -28.45350982, 
##     -25.42350234, -26.97579025, -30.2, -26.34843599, -29.83194679, 
##     -32.29417163, -29.77677009, -28.83150113, -24.25544893, -25.44359747, 
##     -32.56324344, -32.04765738, -30.99652225, -29.00068231, -29.85020488, 
##     -32.36069343, -32.23455333, -28.47200209, -28.92927165, -27.31750046, 
##     -29.83857376, -32.74582984, -32.55582079, -30.42057432, -27.76116585, 
##     -25.28013729, -27.30241933, -26.22241605, -25.67045944, -25.36864902, 
##     -28.00499442, -27.86672486, -23.56657063, -19.40179946, -18.39665124, 
##     15.80066114, 17.0870693, 18.9842221, 20.71673839, 19.14719892, 
##     20.07032233, 20.63342289, 17.94457995, 16.20262401, 9.574264689, 
##     10.2122766, 6.794547076, -7.31160176, -13.97005872, -16.36693619, 
##     -20.69483555, -17.26995578, -9.590984393, -5.777100596, -19.06516327, 
##     -19.02700786, -18.20774142, -24.67294221, -22.88592674, -19.83283478, 
##     21.32995769, 20.88709469, 21.33920023, 18.91953958, 9.969589138, 
##     7.485891547, -15.33156893, -15.69164783, -13.57948702, -8.844034389, 
##     -20.58367184, -16.04622165, -23.17064279, -20.31001472, -23.91546045, 
##     -19.58220313, -23.32808592, -29, -29.32873827, -30.17635152, 
##     -36.7947268, -32.98106087, -29.0374813, -26.16303618, -27.58330306, 
##     -28.96099524, -21.1191398, -22.51557964, -24.98717206, -17.76184229, 
##     -18.63859894, -20.95909103, -16.71800027, -9.461399395, -5.318573546, 
##     -4.234128515, -2.102827787, -2.498418202, -1.423688899, 1.402696394, 
##     4.902433607, 3.54748309, 2.865962339, 5.21130141, 8.113966553, 
##     10.46613114, 9.4378698, 9.848879806, 11.30294864, 11.49505012, 
##     16.04076085, 20.01030092, 22.8753217, 21.84329541, 23.72909186, 
##     23.01498374, 20.21985034, 9.985635924, 8.245709904, 5.046368208, 
##     -8.244995393, -9.712467529, -8.392679645, -8.051489873, -6.101528896, 
##     -10.28042627, -9.302334325, -9.85371, -4.119354183, -2.433135666, 
##     -4.418033264, -4.046671321, -0.949364712, 6.324838372, 7.7816518, 
##     11.87399527, 14.55267725, 14.28482044, 17.58491394, 18.75900475, 
##     20.51189788, 22.68150106, 20.13415928, 21.81320654, 21.01432428, 
##     20.11291523, 19.0699468, 18.72280022, 18.46826237, 17.80103558, 
##     14.26360958, -22.25664762, -21.93384342, -23.31223036, -24.23534907, 
##     -23.84674393, -23.41600876, -22.18412565, -26.82995869, -27.32604695, 
##     -26.29909424, -27.89078841, -29.49448727, -28.47218375, -28.50776255, 
##     -23.22263405, -25.38046693, -26.77045367, -25.56738657, -30.04403846, 
##     -26.28770271, -28.05539795, -32.28066141, -31.87493297, -30.10136317, 
##     -30.28515248, -24.64252029, -25.82082791, -31.05389707, -28.16602333, 
##     -27.22020336, -31.77677507, -30.78033754, -26.19185566, -24.27777563, 
##     -26.56050186, -28.50114255, -24.2594603, -22.9855985, -25.20072136, 
##     -26.48714022, -24.7696123, -23.54135729, -22.62696682, -22.63650226, 
##     -22.77930939, -21.82031992, -19.90826221, -20.7, -23.79411248, 
##     -16.48989946, -13.41279796, -11.40303503, -6.167244279, -18.04218392, 
##     -22.03146612, -15.70475849, -5.446002185, 0, 2.975259525, 
##     10.19077498, -3.1612242, -12.42949419, -13.8825168, 3.396831253, 
##     -20.25108444, -21.38647514, -26.74347114, -21.83428794, -23.71034331, 
##     -9.2, 13.37435496, 12.02415621, 20.50879525, 10.98383378, 
##     -3.36781175, 19.91274947, 0, 3.960072874, 9.000469747, 25.16378112, 
##     -18.01158911, -42.59291794, -8.900881083, 0, 6.483176164, 
##     -12.81255805, -5.762311193, 10.30208104, -12.31702211, 6.439343737, 
##     -12.83232277, -9.343143663, -9.880005258, -20.9, -11.87486628, 
##     -8.900881083, -8.578449739, -6.316142761, -2.654971264, -9.267053761, 
##     -12.87292807, -31.06829067, -27.00558514, 8.876496194, 5.247435631, 
##     -2.560178095, -2.630061617, -12.65664652, -27.52797799, -28.0343532, 
##     -12.34044667, -7.200236867, -11.76668142, -15.6601877, -14.87069116, 
##     -12.43165508, -9.713842124, -13.06486223, -15.65485614, -10.47330393, 
##     -9.699551981, -9.939134876, -10.47330393, -10.36027759, -10.10263447, 
##     -26.02783628, -21.10352852, -11.69884724, -18.07672635, -32.06248089, 
##     -20.93180761, -8.355741078, 5.235834642, 1.725763231, -14.61955714, 
##     -25.28137281, -19.5910096, -9.285623825, -7.697379103, -12.09253589, 
##     -2.51048226, -13.5699532, -2.1083413, 7.982998571, 3.755799808, 
##     16.31582248, 12.8787985, 18.74984259, 22.110248, 21.47259529, 
##     30.25867165, 30.12086219, 30.46489849, 39.27082455, 43.30616105, 
##     43.17840389, 41.91422311, 51.0863323, 54.09968622, 56.59783374, 
##     63.18245733, 78.16257847, 72.96128776, 68.78638971, 68.3, 
##     67.58872174, 67.45206414, 68.06141291, 58.78040757, 51.34022931, 
##     47.54089952, 37.21691541, 38.08940212, 19.60384976, 15.93992675, 
##     5.826618156, 30.28273249, 30.00077964, 16.35663037, 8.666692495, 
##     31.3818451, 28.10065821, 42.39990195, 30.80393088, 33.47198722, 
##     23.19526408, 6.789750986, 12.5497348, 7.1, 0, -4.816210607, 
##     5.800421124, -23.45091086, -27.80798857, -11.54288672, -3.214260205, 
##     -18.44453883, -19.23283698, -6.060145065, -4.558555277, -2.914923449, 
##     -4.24816736, -5.521753379, -6.117278798, 1.380701051, 2.878467747, 
##     5.632873609, 12.23961004, 2.521230998, -4.821806159, 0, 0, 
##     8.076442326, 10.43758664, 11.5, 18.45863649, 26.46622477, 
##     27.07956855, 28.94359148, 27.50831188, 33.34306524, 33.98135426, 
##     33.39391779, 35.28583917, 41.48158801, 43.39407621, 44.13223919, 
##     46.10423626, 50.64480702, 49.79060544, 51.60672361, 52.09571379, 
##     52.27621045, 49.78562971, 52.78016625, 53.62837971, 52.93953366, 
##     54.35994331, 59.70699521, 47.22736027, 30.09015361, 41.54383562, 
##     11.59981503, 15.59473827, 18.22810317, 30.577949, 3.193296965, 
##     -6.803723068, 28.9873469, 26.33191139, 16.55060578, -7.010480503, 
##     -8.149653884, -5.865466468, -2.413378262, 2.87400631, 5.597464891, 
##     7.391659099, 2.313001905, -1.206864863, 1.264843609, 7.241547405, 
##     7.010959084, 2.5, 53.05587387, 53.10435146, 56.50883547, 
##     57.19845937, 57.30245856, 71.82108411, 68.33861141, 52.22055717, 
##     50.64469015, 49.87175539, 42.63832691, 52.22217251, 45.36030137, 
##     40.19229984, 36.8687622, 31.4, 32.17505544, 26.83662109, 
##     30.61778748, 35.70878699, 31.32960765, 23.14558299, 24.03080637, 
##     17.03323131, 10.53726041, 27.46857593, 21.89720653, 20.27634889, 
##     12.21201507, 8.815924263, 11.62509663, 13.22453026, 14.59966951, 
##     15.88006431, -17.24564711, 0, 11.01392014, 14.42892715, -8.667496275, 
##     -8.519442491, 1.221816024, 5.999474662, -6.659768192, -2.492288465, 
##     2.274098117, 3.690508963, 8.238918632, 8.271640801, 10.94073501, 
##     5.354477142, 1.162659705, 7.420965517, 16.12118602, 12.95660689, 
##     19.95946929, 18.58655813, 11.8057439, 10.17610755, 17.17270599, 
##     19.7629683, 33.7550264, 27.17196753, 30.91417292, 42.03017023, 
##     40.79136534, 41.6970552, 42.25182441, 39.93360007, 42.76312996, 
##     45.37696505, 46.19913421, 47.17757907, 49.15020638, 49.99625938, 
##     47.84000373, 49.66915329, 51.03075029, 53.03624346, 52.60381084, 
##     52.94285434, 51.81862076, 51.57351222, 47.30014376, 47.5893545, 
##     48.17351414, 44.55259403, 40.67470717, 42.96293198, 38.18203552, 
##     32.49619211, 32.39170094, 39.52124872, 37.33202954, 29.11133661, 
##     28.83126687, 32.79071133, 32.59801348, 30.65012099, 27.53642845, 
##     20.91881086, 17.1953748, 13.49352044, 20.78905246, 11.97391501, 
##     8.712263802, -5.402995624, 1.587968552, 3.916970128, 7.029700562, 
##     10.6852058, 11.84676924, 9.372876198, 5.488903572, 3.957315642, 
##     5.104489655, 8.485850254, 3.92031311, -2.628925308, 2.442720601, 
##     6.58387693, 13.21891231, 14.1061244, 11.29960565, 14.47065211, 
##     24.20007838, 15.97764136, 20.59453746, 11.21997251, 0, -6.885195553, 
##     3.227673031, 3.227673031, 17.29133267, 17.88775451, 19.92482469, 
##     30.72390095, 25.98137333, 25.7, 31.43451194, 25.91426654, 
##     20.94364275, 23.2769566, 19.16476938, 21.20763442, 32.6792152, 
##     30.07131311, 28.33285911, 36.7664336, 35.6240651, 37.93146921, 
##     35.72169113, 38.66407726, 39.56083748, 43.5929559, 43.28190156, 
##     45.09218032, 51.22721395, 52.27923663, 53.42905463, 53.65435427, 
##     52.6777517, 55.34526178, 54.48511964, 52.21105735, 48.96503168, 
##     39.68271252, 39.37841464, 40.55458092, 41.60603071, 37.36324725, 
##     32.09824829, 31.7221844, 32.56987898, 34.12379176, 36.99953359, 
##     44.2252316, 40.06495962, 39.14883736, 42.36503663, 31.47700045, 
##     33.02156078, 27.7478783, 30.14640052, 28.71027893, 23.01111821, 
##     29.42277791, 21.72935098, 8.428449128, 12.4153562, 7.735025742, 
##     8.964315563, 4.967635705, 7.244185982, 15.81205521, 18.47757291, 
##     19.2069531, 20.48745301, 19.59398402, 19.57311919, 16.84753837, 
##     15.07000364, 20.10307643, 24.9464798, 24.59546464, 41.46981251, 
##     37.05659065, 42.05343353, 40.8204488, 41.4960193, 40.4587328, 
##     43.5, 45.07873995, 56.13352089, 51.84883238, 53.59988937, 
##     59.93310882, 60.60633528, 61.69486343, 61.39441104, 54.45335109, 
##     52.3540967, 53.16589594, 52.08845742, 49.13683735, 45.50643126, 
##     32.70859699, 16.35456966, 20.40248039, 28.54120152, 18.173817, 
##     17.91394808, 17.91394808, 17.91394808, 17.91394808, 17.91394808, 
##     17.91394808, 17.91394808, 17.91394808, 17.91394808, 17.91394808, 
##     17.91394808, 17.91394808, 17.91394808, 17.91394808, 17.91394808, 
##     17.91394808, 17.91394808, 17.91394808, 17.91394808, 17.91394808, 
##     17.91394808, 17.91394808, 17.91394808, 17.91394808, 17.91394808, 
##     17.91394808, 17.91394808, -84.00140451, -84.45701764, -47.88757913, 
##     -45.98372912, -64.35011088, -88.43115401, -61.65864375, -41.7665445, 
##     -82.42878152, -93.25913688, -34.18662925, -35.37619533, -39.18044584, 
##     -37.87938928, -34.57711385, -47.58497896, -47.00185779, -42.35352672, 
##     -42.84983465, -40.81239504, -38.29226995, -44.88365787, -52.0677923, 
##     -48.78794064, -47.42893945, -42.43070037, -47.8, -62.73695054, 
##     -59.23118439, -78.48039862, -40.11180669, -4.609932993, 0, 
##     -48.06599947, -97.36196687, -105.6345014, -99.44211062, -99.44211062, 
##     -89.53036317, -33.07842911, 126.7911458, 108.8488592, 108.8488592, 
##     94.63736589, 81.16632244, 83.5, 75.7388332, 70.72669056, 
##     62.36287502, 58.14191736, 53.55649401, 52.9636289, 49.43824302, 
##     49.43824302, 49.43824302, 52.87254873, 56.72545372, 55.6495429, 
##     57.94148357, 68.94634921, 72.76003271, 74.11544011, 84.24608025, 
##     71.03822388, 87.68022434, 84.75089987, 83.47806271, 80.83244544, 
##     59.71083451, 51.80236456, 21.44461171, 31.14358257, 35.87706703, 
##     16.83951141, 23.36598077, 33.04226479, -12.34044667, -6.380094677, 
##     -43.29943368, -63.97841737, -85.50431857, -78.53981634, -39.08261306, 
##     -42.05343353, -38.21331504, -12.06785531, -31.18902154, -127.2297395, 
##     -73.62207175, -57.33085196, -42.3, -41.87268055, -40.44882285, 
##     -43.7815409, -46.97347394, -45.62197152, -48.57381246, -37.09336701, 
##     -36.32613919, -52.21321757, -58.72916607, -53.11185117, -47.39946848, 
##     -38.70914182, -46.35091672, -54.11836595, -37.87291686, -48.38340698, 
##     -72.29793534, -85.2, -100.1023024, -102.5655513, -93.15948121, 
##     -63.2748835, -31.01636735, -24.31608692, -43.81490306, -27.98093157, 
##     32.36185653, 55.03391826, 64.70010681, 99.18793905, 78.4964512, 
##     76.59646995, 82.88490588, 70.89177737, 67.86018214, 67.76478623, 
##     66.92023473, 65.90420324, 82.83889676, 88.832155, 83.16488314, 
##     85.46428646, 88.8, 87.46460473, 81.43999302, 78.387222, 79.08086964, 
##     74.47316545, 76.36915264, 76.88152385, 81.85979092, 66.81210808, 
##     71.28580873, 52.95663122, 65.8064198, 44.7679292, 26.06136833, 
##     25.42639429, 10.71091788, 12.39298345, 19.55749116, 12.73440271, 
##     24.09445469, 7.024399292, -24.77834762, -30.43003069, -28.0726995, 
##     -34.20058522, -59.74850585, -42.63467074, -46.03666014, -26.73335644, 
##     -39.31783857, -33.27563507, -29.79817081, -33.70672027, -29.73167587, 
##     -18.6572012, -20.26571591, -20.73467399, -19.01041282, -16.62486796, 
##     -18.89235489, -20.0555047, -19.70100179, -18.36190152, -20.26170607, 
##     -20.51833884, -22.54511213, -21.57459193, -20.70262727, -21.0242536, 
##     -21.34108734, -22.21393759, -22.34764858, -21.51400052, -23.27869761, 
##     -24.2, -28.25408048, -28.22123707, -32.86535757, -22.19825947, 
##     -26.24241012, -31.20421216, -29.13755344, -30.3572594, -29.35212562, 
##     -33.52534851, -33.73283413, -31.90361298, -29.97961359, -29.38873362, 
##     -29.09002104, -28.12450215, -28.99240071, -29.76478869, -29.72307887, 
##     -30.35018555, -28.65511954, -28.34451575, -29.72022845, -30.07356691, 
##     -28.99240071, -27.51248098, -28.89739648, -29.46700341, -29.18187924, 
##     -29.13864241, -29.98747672, -29.98747672, -29.82105999, -28.94066381, 
##     -29.61646444, -28.9786138, -29.62097785, -29.80552481, -28.0129139, 
##     -28.9786138, -30.66011624, -29.13462974, -30.35018555, -29.67076214, 
##     -29.80552481, -31.12968773, -29.8996826, -29.28598348, -33.8635587, 
##     -30.88402693, -28.80169744, -29.01118254, -30.25628741, -29.41050077, 
##     -28.80169744, -29.44203563, -28.88811115, -31.12712276, -29.74419752, 
##     -31.32654222, -32.02891213, -29.48869364, -29.33566741, -29.55573466, 
##     -29.55573466, -30.64327265, -30.16719464, -30.08231988, -27.60712641, 
##     -31.97174923, -29.54302304, -29.51010066, -31.25283062, -28.5, 
##     17.91394808, 17.91394808, 17.91394808, 17.91394808, -34.43065706, 
##     -32.56538554, -25.59709495, -25.59709495, -32.17505544, -28.97517014, 
##     -28.97517014, -28.97517014, -57.69313452, -57.69313452, -57.69313452, 
##     16.98462881, 16.98462881, -48.72866077, -57.63752206, -16.48989946, 
##     -44.8, -3.997868712, 8.0432933, 23.81068599, -1.617609165, 
##     -9.136855789, 8.322180864, 20.9532664, 7.590689398, 8.365684471, 
##     8.577573084, 6.643288405, 5.515450797, 5.339191326, 5.511784243, 
##     4.087406275, 0, 1.342836445, 0, 5.184904912, 10.93346662, 
##     13.41710764, 9.901760012, 7.518828624, 3.829822184, 10.18664335, 
##     17.24567219, 8.283215004, 5.055333313, 15.21870332, 15.46585738, 
##     15.12813927, 16.60266175, 23.12665966, 24.25448428, 20.3884556, 
##     23.239113, 38.02418262, 38.70263857, 39.85003407, 42.97201819, 
##     45.86831967, 46.22726238, 47.56835368, 50.5, 66.88585216, 
##     66.47915131, 71.16298677, 71.22246284, 77.09601404, 74.98156688, 
##     70.40092494, 69.14159464, 62.79055432, 62.41533961, 54.88792492, 
##     59.70113982, 50.77208857, 43.8716968, 46.00514189, 41.01873364, 
##     38.57874847, 33.375544, 31.54422309, 30.09750215, 25.79217833, 
##     25.40785925, 40.44020382, 4.378279773, 14.88899476, 13.59445286, 
##     18.75077692, 58.6979672, 93.00296529, 117.6005207, 23.79411248, 
##     16.90519032, 14.66822482, 23.1861199, 35.44429069, 25.65601527, 
##     29.61154772, 40.25478198, 29.80012196, 34.43065706, 33.47586534, 
##     13.95366524, 17.92904981, -16.43429019, -24.25352318, -46.57020624, 
##     -31.2582924, -8.805582553, -49.49894873, -51.60436072, -53.87592856, 
##     -57.01482988, -44.55205046, -47.33930713, -46.69247908, -46.93847924, 
##     -53.31096867, -51.9215831, -47.23455073, -47.78353043, -52.06140761, 
##     -46.66701866, -39.06070437, -23.68421975, -21.96319567, -23.65002534, 
##     -27.76295059, -27.44095314, -31.3766514, -25.92428959, -25.18361776, 
##     -28.21623518, -38.67965911, -44.69850298, -39.51808616, -37.2272414, 
##     -39.66057426, -40.61958491, -50.51511311, -43.25899311, -46.70222249, 
##     -45.92279254, -46.94425162, -50.53373734, -63.99263475, -62.84808979, 
##     -58.10093599, -41.5278043, -45.76749072, -51.26765865, -53.77785015, 
##     -57.2, -41.99656973, -49.45050501, -56.19149979, -54.25228646, 
##     -52.40359758, -52.52131961, -53.21361807, -49.1186819, -46.00832537, 
##     -42.64291002, -41.83412484, -42.28151152, -38.8082834, -38.93726558, 
##     -39.28463869, -38.3037342, -35.80462395, -31.93701568, -29.48588256, 
##     -16.6837982, -26.61425033, -30.21191254, -25.79668625, -30.84155919, 
##     -31.45018858, -28.67813111, -30.60363808, -32.6, -40.81251121, 
##     -38.53456763, -39.57009988, -54.95991817, -52.48862323, -53.80976557, 
##     -55.39840109, -55.19920389, -48.84794135, -45.70039626, -45.57666031, 
##     -48.86899666, -46.52614185, -50.08940187, -53.99225456, -58.45564887, 
##     -57.04245269, -53.76350101, -51.00690429, -48.6323334, -45.03308813, 
##     -44.9, -46.66342743, -46.4329591, -65.85255714, -63.82367274, 
##     -51.30521521, -42.63400203, -42.15290793, -43.10171746, -40.68551439, 
##     -47.35620975, -51.685684, -56.32208731, -56.05681812, -54.78562765, 
##     -47.73841189, -52.2713429, -52.1027547, -53.2739256, -50.4577238, 
##     -50.26601062, -51.99150042, -52.4369856, -52.54473114, -49.94623601, 
##     -49.82467664, -52.25854816, -51.48144566, -52.10076895, -50.32507521, 
##     -50.9, 36.41752493, 38.68158188, 38.68158188, 38.68158188, 
##     38.68158188, 38.68158188, 38.68158188, 38.68158188, 38.68158188, 
##     38.68158188, 38.68158188, 38.68158188, 38.68158188, 38.68158188, 
##     38.68158188, 38.68158188, 38.68158188, 38.68158188, 38.68158188, 
##     38.68158188, 38.68158188, 38.68158188, 38.68158188, 38.68158188, 
##     38.68158188, 38.68158188, 69.45445607, 77.934375, 86.15679242, 
##     93.14378522, 99.94465193, 107.0176614, 103.6524664, 102.739078, 
##     103.307012, 102.8065505, 102.6888682, 103.7226915, 97.82920013, 
##     92.79808907, 99.33118326, 99.67274723, 95.71628668, 90.77988, 
##     91.57352247, 86.78731626, 89.17066285, 88.26039816, 85.11782635, 
##     81.12102711, 91.75162847, 87.88438966, 82.57356552, 79.5, 
##     -1.324338756, 9.102708066, 37.62608865, 50.94249447, 55.94115841, 
##     59.19772307, 64.20310419, 79.0855208, 80.98164642, 83.18268734, 
##     86.17507634, 91.22304444, 99.99738399, 101.772738, 102.6031187, 
##     100.4746466, 100.5981102, 103.7950582, 105.7916776, 110.7863055, 
##     111.1254356, 72.03648974, 68.53610189, 49.53039997, 66.70219693, 
##     33.09970897, 29.01573535, 53.91350867, 33.88356941, 26.68729324, 
##     18.59380203, 22.35947797, 23.89581758, 13.67454111, -10.58681451, 
##     -33.32178506, -56.67523258, -66.31096483, -35.63038846, -31.91166202, 
##     -24.35211898, -4.752932688, -8.655538056, 3.183572809, 4.856907527, 
##     -2.537820442, -21.75320676, -14.8, -75.29077706, -56.67523258, 
##     -45.27784718, -33.66748194, -15.38186994, -7.763463569, -11.61611704, 
##     -16.67192252, -22.33155364, 3.76177422, -23.56376594, -28.60221749, 
##     -40.75375419, -36.8493595, -32.09306569, -4.921175787, -15.5841063, 
##     4.707947036, 13.94403186, 11.9, 90.953072, 89.24398181, 86.83779467, 
##     84.30209251, 77.94879244, 82.16540206, 80.11493934, 75.01356278, 
##     72.37875758, 69.26189801, 67.72493283, 62.8191108, 64.27472523, 
##     51.37561193, 48.41749892, 58.24603528, 53.29936683, 27.16571237, 
##     23.78579943, 39.26998326, -33.9, 29.68253181, 16.15744647, 
##     18.98926821, 8.747368314, 5.572303236, 0.878218485, -4.035190002, 
##     -3.837459677, -11.80248653, -11.89782662, -15.37037775, -19.01611995, 
##     -19.28785711, -21.40194795, -28.05035329, -35.81252144, -36.3492452, 
##     -35.07528437, -40.11769366, -40.18964955, -42.19587162, -56.69745797, 
##     -67.0650242, -66.53702433, -66.12040799, -62.11937543, -65.37993567, 
##     -55.84862804, -53.6, -61.7375458, -59.84342114, -69.76485937, 
##     -41.75788894, -38.89409755, -38.76573799, -52.98783037, -37.64405772, 
##     -50.81010505, -27.22979475, -23.26515388, -26.37792959, -15.5594828, 
##     -4.16345578, 8.63691008, 26.86605503, 12.9983964, 4.914856493, 
##     19.57080499, 24.16158206, 31.81650011, 24.87327753, 20.35065839, 
##     20.66972593, 26.90997806, 18.6368504, 11.97555768, 13.31638298, 
##     8.738704829, 6.902114283, 9.631895523, 1.011978507, 1.976455717, 
##     -2.861688895, -7.860879293, -5.315567142, 0, 5.963144938, 
##     8.34845828, -15.04561589, -2.127338602, 5.398182648, 3.165973559, 
##     0, -10.94493102, 2.723000343, 5.793656772, 0, 6.050431418, 
##     -2.905373199, -6.202733899, -3.147103347, 3.051864711, -5.94263582, 
##     -17.7, 11.26481123, 5.610664765, 7.67577549, 14.29807735, 
##     0, 0, 5.632873609, 7.568915169, 5.072376105, 7.394465252, 
##     4.31464951, 4.162453768, 3.988318379, 7.561098179, 12.24498994, 
##     14.48013091, 9.484487781, 8.665688085, 16.65567636, 17.2401812, 
##     21.09627924, 21.32237538, 16.19885075, 22.33063829, 18.7, 
##     -1.878230996, 1.095423207, -2.583783854, 3.718611669, 4.575489843, 
##     -5.54132321, 5.417953886, -22.99421052, -42.93144478, -46.75514651, 
##     -40.87518536, -29.10996543, -53.69180434, -13.69456238, 40.04064192, 
##     39.5123778, 42.24091175, 53.69303058, 53.58126158, 49.43880105, 
##     46.88831622, 50.79217924, 33.90073904, 33.54885162, 35.29839733, 
##     42.70596595, 45.36406186, 47.63107209, 52.93578792, 54.27259853, 
##     58.50037491, 80.95429324, 83.13142006, 84.6114544, 82.69455053, 
##     72.72865241, 67.5863849, 65.31761819, 66.86196014, 46.71806343, 
##     20.31987522, 12.79842418, -20.7224443, -27.46256885, 4.9, 
##     -18.73934092, -5.865466468, -12.22464035, -64.05223127, -24.31608692, 
##     -13.20075919, -13.21971443, 1.762907298, -1.72782282, 0, 
##     -4.527174494, 9.982026285, 25.13706289, 28.4071193, 29.26018055, 
##     36.14707015, 37.49931161, 40.44438053, 42.26311138, 43.77845868, 
##     47.48599892, 50.77462945, 45.87867117, 50.1, -1.363270247, 
##     7.617264632, 9.972982599, 20.86677377, 21.73093663, 32.59801348, 
##     41.09593464, 37.4639087, 43.37979303, 47.61397794, 50.1284036, 
##     54.65056484, 63.53226549, 69.62978714, 67.74718698, 71.11400821, 
##     72.61651237, 72.85248737, 72.51727685, 62.85660691, 51.98880165, 
##     47.85891822, 9.243502425, 16.05611392, 5.43392825, -100.3345852, 
##     12.58228904, -43.46312457, -93.02740141, -5.515975188, -3.679389595, 
##     -43.24943943, -56.64694457, -21.70885726, -28.89941176, -25.76652722, 
##     -5.12371674, -12.67035447, 6.922672614, -17.15561283, -24.46850743, 
##     -6.193804083, 4.785475041, 0, -8.257241048, -5.121662957, 
##     -9.804233878, -25.62697192, -8.727092974, -1.349545281, 2.917093022, 
##     -4.466680604, 5.560028025, 14.57305881, 16.48164413, 16.19773296, 
##     26.36030316, 44.80512227, 49.6327228, 54.39370968, 44.47178914, 
##     46.63208845, 45.99448766, 45.99448766, 41.54671512, 60.70064975, 
##     73.62081159, 80.22714305, 81.82561292, 76.81242704, 73.05184992, 
##     69.46677232, 70.91770043, 68.51150893, 53.31290001, 39.8, 
##     -10.03690358, -11.35116555, -22.63786706, -25.86639632, -31.35703557, 
##     -34.54740231, -18.36040103, -32.44508724, -13.2478812, -10.80428526, 
##     13.98015493, 13.77962246, -5.90367291, -6.52946204, -15.99767758, 
##     -14.47428237, -8.830764947, -8.243374888, -1.161091227, 11.04133744, 
##     22.51747978, 34.04461464, 39.10422601, 43.73778005, 49.31363365, 
##     23.01158677, 17.69915784, 13.52928732, 17.12973628, 24.68627444, 
##     31.83086942, 26.78062049, 2.830818665, 13.739544, 26.58067151, 
##     7.984019395, -1.723967119, -18.8242472, -22.81334541, -24.9, 
##     -22.84246176, -33.4558238, -32.8079612, -35.65832404, -43.88949034, 
##     -48.6470326, -51.17243881, -56.64648392, -60.11225331, -68.91739065, 
##     -79.87591236, -76.14705536, -73.23131954, -61.30851537, -49.62090484, 
##     -50.49989458, -46.97372038, -47.03367233, -45.85503762, -50.13018867, 
##     -49.80562169, -57.39815607, -47.49280712, -30.82369641, -19.47243061, 
##     -16.289343, 12.8271898, 26.6390862, 7.777759768, 10.24394111, 
##     10.88488051, 12.95660689, 6.172999308, 11.9535061, 7.880781226, 
##     5.660782357, 4.874185131, 5.265590826, 12.46154258, 27.45036751, 
##     26.85150597, 37.09027307, 12.15849919, 22.20322362, 20.0533755, 
##     4.984104932, -1.588770017, -7.560882053, -9.29958645, -13.78763918, 
##     -17.23061632, -19.70267736, -27.15395157, -27.34414117, -34.02698573, 
##     -41.47891041, -42.14274674, -39.44962405, -60.3894245, -58.80588325, 
##     -51.31065652, -46.68401972, -39.1542547, -45.841, -43.66888328, 
##     -41.80834518, -39.58861598, -33.89541573, -37.70046327, -42.02352066, 
##     -48, -42.52059353, -43.39407621, -43.09964884, -40.05022477, 
##     -37.24672774, -43.42430738, -11.96149374, -14.96474731, -18.39309997, 
##     -15.20792801, -13.1112518, -12.64422442, -11.06019559, -2.605643606, 
##     20.2964583, 64.55383348, 74.47987707, 69.40951323, 9.216533068, 
##     12.33433511, 24.48048143, 14.54551203, 3.046823948, 7.81328966, 
##     15.0773509, 18.37326543, 23.36477032, 24.66496759, 23.1449239, 
##     22.69731597, 24.51734912, 31.51427587, 27.20759051, 17.85417887, 
##     25.87625334, 26.30018238, 34.66565118, 32.81026334, 26.97910175, 
##     24.70478512, 32.74474625, 27.39736072, 31.18902154, 30.30544579, 
##     26.90152122, 43.08091544, 25.27168559, 19.67172066, 25.55024997, 
##     27.0549763, 28.11663889, 35.21156886, 29.73207187, 37.3130007, 
##     28.80554471, 28.07333891, 22.47861145, 30.28626288, 41.29105696, 
##     31.06685008, 29.859611, 37.34923589, 39.65557123, 35.91959455, 
##     29.74621106, 31.00725578, 29.13708234, 36.11221545, 15.72165524, 
##     30.8530068, 37.23854605, 38.7, 30.09015361, 27.65269929, 
##     18.19558581, 20.43878848, 22.75967893, 20.52979648, 14.08803898, 
##     22.04292998, 20.18393338, 27.3432096, 26.25322903, 25.87820169, 
##     25.03781875, 27.20759051, 40.98034457, 31.00456606, 28.02479117, 
##     30.18973757, 16.24057499, 30.32662036, 27.03066702, 36.97239112, 
##     36.01931444, 33.60674765, 31.04834605, 22.40962827, 15.42719206, 
##     18.53576242, 22.66369645, 32.54895678, 23.11335378, 37.71345111, 
##     32.41853504, 18.57951468, 15.99102478, 7.767487847, 10.17814091, 
##     25.21876967, 33.34409922, 36.56633559, 46.13686807, 32.82021149, 
##     20.17160916, 10.45932766, 12.32712404, 29.89915949, 39.51576007, 
##     26.025274, 15.41653375, 14.71460133, 20.4999976, 21.45226813, 
##     19.73210229, 22.24714017, 23.12470297, 28.84130947, 18.173817, 
##     27.99748123, 27.40402773, 30.06214806, 22.74579751, 26.20888785, 
##     27.20717656, 28.41575779, 31.13510413, 32.84743214, 30.48030246, 
##     37.89882651, 35.98769387, 38.50304034, 34.03894302, 27.65139466, 
##     33.3, 29.0166339, 28.23353599, 31.73851054, 26.82739694, 
##     33.40476397, 46.25588617, 52.19722354, 34.70364696, 36.92352361, 
##     36.41467084, 36.70108371, 51.52052359, 25.79834499, 29.02417762, 
##     35.78495777, 31.75741253, 21.86689459, 42.2693018, 40.18425271, 
##     37.4333616, 19.31113757, 19.69642853, 11.69862486, 39.67407809, 
##     45.74110601, 41.23161728, 24.49148605, 14.32199938, 19.47386503, 
##     22.9791508, 20.22931623, 21.68106754, 27.68942715, 30.48657686, 
##     31.78058574, 33.44689077, 36.32204513, 29.71336754, 26.14081644, 
##     23.08232655, 21.65083485, 28.12157443, 24.7, 27.61977124, 
##     23.43681688, 19.50347571, 29.91029551, 24.2447023, 28.08216276, 
##     28.46502853, 35.73545474, 34.17746419, 26.41902544, 27.61690763, 
##     32.96453568, 37.95993904, 33.70433531, 41.4, 34.08012725, 
##     36.38863282, 42.88830145, 47.14228934, 39.21143028, 6.105311838, 
##     15.03433318, 16.54136085, 28.12157443, 24.01229088, 23.22372031, 
##     49.06290668, 28.76483586, 30.97540402, 10.16534136, 8.444857281, 
##     9.738800524, 24.96402228, 37.58370272, 34.2274724, 13.6681854, 
##     18.48598936, 33.01880844, 35.07287414, 28.63811636, 21.31710914, 
##     19.14919913, 19.73955598, 25.21269509, 33.92708971, 31.18902154, 
##     26.87205779, 32.48883594, 34.58810383, 23.86703906, 32.53386664, 
##     45.73363215, 28.97517014, 23.41241248, 18.87261358, 27.59502558, 
##     39.88634412, 35.56411841, 37.65015915, 17.71758746, 25.04268593, 
##     24.49602828, 30.35500373, 14.35542114, 49.01419756, 29.50331504, 
##     33.27261265, 44.41759074, 36.70103439, 14.98901574, 26.07562085, 
##     25.53925607, 31.06829067, 29.84989316, 30.82271915, 35.73878224, 
##     28.03520363, 24.21108965, 26.20888785, 21.51767125, 28.7, 
##     28.73815279, 29.18428819, 29.2010047, 27.41109075, 28.24930572, 
##     20.12253711, 32.49051181, 25.67763308, 26.4365263, 27.34771947, 
##     25.8050901, 30.48657686, 24.26019501, 26.69171109, 45.78686263, 
##     33.04972702, 28.5416103, 30.97204916, 24.25019397, 23.41969247, 
##     32.4303436, 30.47506316, 29.91951827, 26.09368138, 32.35945332, 
##     31.77345011, 36.1629886, 38.68158188, 0, -69.44652175, -69.44652175, 
##     -69.44652175, -69.44652175, -69.44652175, -69.44652175, -55.31010503, 
##     -55.31010503, -55.31010503, -55.31010503, -30.62773692, -13.21971443, 
##     -11.33252278, 2.047364277, -17.94457995, -17.94457995, -17.94457995, 
##     -17.94457995, -17.9, -17.94457995, -17.94457995, -17.94457995, 
##     -17.94457995, -17.94457995, -17.94457995, -36.69262657, -49.07507509, 
##     -66.29826238, -66.29826238, -66.29826238, -66.29826238, -66.29826238, 
##     -66.29826238, -66.29826238, -66.29826238, -66.29826238, -66.29826238, 
##     -66.29826238, -130.1046141, -8.748194753, -7.130021426, -17.2850528, 
##     -36.11720526, -43.75281029, -27.44976567, -18.63734993, -53.8271622, 
##     -39.96744582, -32.30403275, -36.44172778, -42.24487873, -36.07828575, 
##     -31.94101118, -31.94101118, -31.94101118, -31.94101118, -31.94101118, 
##     -31.94101118, -31.94101118, -31.94101118, -31.94101118, -31.94101118, 
##     -31.94101118, -31.94101118, -32.06507824, -36.12031886, -30.54491901, 
##     -43.68372504, -39.47364943, -45.05115288, -43.71219198, -48.56902197, 
##     -49.07143588, -41.95156239, -31.14358257, -21.87757334, -21.44693466, 
##     -29.19634172, -29.19634172, -29.19634172, -29.19634172, -33.42977887, 
##     -42.43009512, -36.28342207, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.2, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.2, 
##     -38.22207697, -38.22207697, 6.08956914, 4.447007825, 3.362096593, 
##     5.653088706, 5.653088706, 5.632873609, 5.632873609, 13.30721315, 
##     13.12448934, 18.14658358, 8.63132277, -19.91274947, -15.56242665, 
##     -16.98462881, -11.13410143, -10.83595455, -21.36205913, -7.654664214, 
##     0, 0, 0, -51.66828137, -59.50520449, -53.22804385, -47.837328, 
##     -21.05726186, 16.45884779, 38.99508557, 54.04195003, 55.51211676, 
##     54.04195003, -36.71738338, -29.52271571, -20.87699015, -9.484487781, 
##     -25.7285848, -26.74347114, -19.36583004, -19.36583004, -19.4, 
##     -9.549131716, -26.28439994, -58.45514983, -58.45514983, -42.05343353, 
##     -15.68156853, 14.5512858, 25.43432115, 8.785628659, -4.627861767, 
##     15.3389701, 34.51077287, 25.7481622, 27.20759051, 9.194412001, 
##     17.60169628, 18.41751194, 30.62773692, 11.51301091, 12.25776016, 
##     -13.80421795, -24.41657354, -29.12849284, -36.24795658, -39.35641353, 
##     11.18622603, 12.34044667, -10.10585825, -28.46566951, -45.20961266, 
##     -66.25968224, -60.6238178, -57.61798515, -5.317445547, 47.52989888, 
##     49.25408519, -6.762526978, -13.87880223, -27.56427992, -46.1167739, 
##     -45.16334411, 5.845390622, -17.01191643, 69.47382762, 42.05343353, 
##     -35.5602583, -16.03030484, 0, -12.02415621, -5.072376105, 
##     10.36027759, 17.5473425, 2.902923818, 7.986533863, 7.81930028, 
##     18.94313637, 7.194023494, 22.40052115, 32.4541305, 27.40402773, 
##     26.95767329, 11.45411908, 8.731504888, 0, -23.1477364, -22.21490035, 
##     -34.35808059, -34.35808059, -36.71738338, -28.0343532, -20.89065412, 
##     -60.12642167, -52.94703358, -53.09696027, -58.72916607, -59.77801484, 
##     -23.71034331, -13.87880223, 27.16571237, 90.48518739, 18.92722319, 
##     -15.09012541, -59.43250161, -48.40187418, -39.82255649, -15.41025568, 
##     0, -18.92722319, -26.28439994, -22.2012069, -14.87983452, 
##     0, 0, -18.36040103, -58.16965592, -20.50879525, -19.36583004, 
##     0, 0, -12.70866705, -6.241881, -40.76915718, 20.36838047, 
##     5.456125513, -2.870452058, 10.94493102, 26.38717805, 10.32914259, 
##     2.644737732, 22, 21.45405338, 4.429522789, -39.35641353, 
##     -49.25408519, -40.93519194, -40.93519194, -40.93519194, -40.93519194, 
##     -40.93519194, -40.93519194, -40.93519194, -40.93519194, -40.93519194, 
##     -40.93519194, -40.93519194, -40.93519194, -40.93519194, -40.93519194, 
##     -40.93519194, -40.93519194, -40.93519194, -40.93519194, -8.748194753, 
##     11.73100252, 35.62294762, 34.46514971, 63.68119842, 118.9758331, 
##     83.7, -94.09567928, -33.04226479, -30.06848912, -26.28439994, 
##     -26.28439994, -26.28439994, -26.28439994, -26.28439994, -26.28439994, 
##     -26.28439994, -26.28439994, -26.28439994, -26.28439994, -26.28439994, 
##     -26.28439994, -26.28439994, -5.54132321, -9.716707739, 9.094061948, 
##     9.094061948, 9.094061948, 9.094061948, 9.094061948, 9.094061948, 
##     9.094061948, 9.094061948, 9.094061948, 9.094061948, 4.18976477, 
##     10.5670933, -8.550529368, -8.550529368, 20.12941623, 18.54696795, 
##     15.07000364, 17.42205666, 17.42205666, 17.42205666, 18.73934092, 
##     13.84919262, 11.21221197, 11.21221197, 11.21221197, 11.21221197, 
##     11.21221197, 11.21221197, 11.21221197, 11.21221197, 11.21221197, 
##     11.21221197, 2.099031534, 2.099031534, 2.099031534, 2.099031534, 
##     2.099031534, 2.099031534, -11.11259688, -5.800963296, -8.567947578, 
##     -10.85989013, -11.56314543, 0, -8.468376088, -8.158936463, 
##     -5.573505175, -8.465004224, -8.465004224, -5.873048415, 2.905373199, 
##     -2.857531727, 2.414961171, -2.393422366, -2.414961171, -10.43758664, 
##     -13.75353165, -7.177532815, -25.13196468, -7.055412345, -8.28553568, 
##     -10.99858738, -2.379828414, 2.047793509, -7.963988788, -6.708208464, 
##     -16.13322427, -20.35607996, -18.75892194, -3.953104769, -11.4929926, 
##     -11.6, -8.071179284, 1.68821963, -6.492563647, -3.364950532, 
##     9.006957799, -3.357829269, -3.422096679, -8.449545366, -5.515975188, 
##     -5.229466941, -8.459743742, -7.607755443, -23.04079665, -14.40439403, 
##     -2.612055505, -21.55072167, -14.80463169, -5.068754786, -15.9504466, 
##     -8.336563652, -2.320774981, -38.36881403, -34.94447156, -60.7834956, 
##     -15.09490034, -3.844259002, -12.25776016, 7.688526408, 22.25889031, 
##     11.50454215, -3.997868712, 3.950790229, -8.522879853, 0, 
##     0, -14.31842006, -11.71310579, -20.80256477, -15.86203283, 
##     -7.626784922, -10.25382675, -15.85306043, 0, -8.113307131, 
##     7.82861298, -11.48660791, -15.82821675, -35.44824793, -2.942874193, 
##     -4.751591124, -20.58376083, -2.438540917, -11.17574255, -12.67176728, 
##     -10.19077498, -8.748194753, 6.466211832, -4.785475041, -14.87983452, 
##     -30.02492875, -14.9419965, -5.764704349, -33.93529624, -2.827673239, 
##     -23.65396491, -27.53160173, -24.73660668, -11.9428926, -28.55842493, 
##     -105.3029571, -10.16514845, 1.676553335, -65.20134293, -4.921175787, 
##     -40.12471419, -9.094061948, -15.09490034, -5.368927481, -8.060422136, 
##     -3.209703807, -13.9, -17.85743487, 10.56054402, -10.94720798, 
##     -26.32308585, -59.74850585, 11.9428926, 6.398934335, -1.516777342, 
##     -17.48946921, -56.20852038, -64.939906, -18.4208776, -31.45897426, 
##     -55.51211676, -8.554004511, -20.7776004, -9.410703976, -4.4079538, 
##     -16.38961805, -16.63503566, -16.73829048, -33.71080396, -18.36040103, 
##     -13.32853841, -13.5699532, -25.6, -21.37450582, -27.92697366, 
##     -3.4469101, 3.623410597, -6.050431418, -19.40630974, 4.669296788, 
##     17.2864876, 7.05053947, -27.49342323, -23.6171527, -16.75786568, 
##     -9.328452139, -13.2628836, -13.61701258, -11.52659992, -9.960682887, 
##     -10.6311768, -8.444857281, -2.818672664, -13.55000625, -5.330650377, 
##     -24.86925514, -18.88966269, -8.438173533, -16.48989946, -16.19885075, 
##     -15.93391529, 0, -2.210968571, -2.630061617, -11.48766054, 
##     -14.12024797, -4.204552227, -19.55749116, -46.11880703, -21.17444173, 
##     -13.51747047, -53.34452239, -78.53981634, -6.117994285, -8.29979251, 
##     0, -4.215746149, -18.37279325, -29.84989316, -23.97489207, 
##     -15.96632276, -26.79595081, -14.59966951, -12.80599007, -14.36245256, 
##     -18.29881388, -10.30816085, -27.61788319, -18.93664838, -5.94263582, 
##     -26.55825994, -23.26251164, -9.41186173, -15.04394792, -9.525035697, 
##     -2.99521157, -2.922694244, -6.284879629, -25.74110919, -5.646326177, 
##     -5.065863309, 17.70902352, 9.774557973, -23.79411248, -10.80428526, 
##     -37.06975695, -100.6853685, -68.53950177, 11.72092553, -18.52037212, 
##     -18.90320039, -15.09490034, -17.88438841, -18.28507318, -5.07727722, 
##     -12.21825121, -9.000469747, 8.620847918, -4.989616804, 0, 
##     4.149890094, -29.46239483, -4.639052715, -13.12231113, -17.12021873, 
##     -33.5, 3.92031311, 10.94493102, 7.250530353, 0, -12.43549945, 
##     -9.495170634, -9.253267873, -13.53896255, -6.758664505, -21.99879774, 
##     -6.193804083, 8.920534355, -24.00267972, -3.398792661, 6.135241634, 
##     51.29307066, 10.11772723, -6.229756883, -32.25767744, -14.23658399, 
##     -74.22209777, -45.16334411, 0, -18.47757291, -25.72119372, 
##     -31.95108092, -4.269192718, 2.013876436, -8.824157956, -13.71209289, 
##     -10.98383378, -16.98462881, -14.85027106, -5.137220971, -15.17502647, 
##     3.281482467, -14.39963108, -33.92926145, -7.039854585, -15.18163179, 
##     -25.43096298, -18.69792699, -11.6659625, -5.117004439, -9.495170634, 
##     -11.69084965, -19.69695924, -26.31396791, -4.132137731, -19.83032253, 
##     -8.707565069, -21.92430952, 10.28390596, -22.33499226, -9.267053761, 
##     -32.12885893, 10.60498962, -29.49963678, -44.2608841, -78.03475725, 
##     -52.96678517, -40.73257806, 5.12371674, -47.837328, -6.96768796, 
##     -13.94403186, -18.99882879, -15.23125185, -3.465488254, -3.597525954, 
##     -18.63734993, -17.83276858, -9.81107945, 0, -5.626183282, 
##     -5.845390622, -2.467318887, -16.23391547, -26.09102981, -8.546191389, 
##     0, -13.87045534, -20.70786715, -20.80006428, -23.27279673, 
##     -16.86588682, -11.30623527, -12.38176325, -7.867551721, -8.090409916, 
##     -11.36082699, -2.686399653, -7.269663949, -10.29965213, -12.07841418, 
##     -16.51486774, -23.74165293, -30.5, -23.79411248, -35.76345458, 
##     -33.01409389, -8.454073422, -28.73922963, -30.8052781, -33.35350484, 
##     -24.36391929, -17.45982231, -12.22464035, -13.77962246, -2.767475916, 
##     5.547715006, -9.307104039, 0, -18.98512696, -17.70131455, 
##     -30.60530225, -9.471715827, -20.80256477, -8.808320989, 3.818945955, 
##     -26.15144906, -46.3647609, -10.99028117, -3.093934709, -5.71973772, 
##     -4.280912354, -22.97599202, -16.6542504, -14.09915119, 0, 
##     0, -3.093934709, -30.62773692, -22.36547196, -2.071825193, 
##     -21.60849723, -13.85879495, -10.10585825, -31.45897426, -24.35211898, 
##     -9.318321588, -6.412807807, -25.17884763, -7.185763963, -29.22166383, 
##     -15.23125185, -22.3917434, -38.66886262, -21.9, -7.090302751, 
##     4.898980427, 12.43549945, -5.368927481, -18.66492648, 0, 
##     0, -30.90086266, -53.82271488, 6.229756883, -7.654664214, 
##     -42.42799195, -58.16965592, 21.21464596, -6.968745303, -17.91306093, 
##     -13.51747047, -50.90836756, 38.12120691, 7.388856138, 10.88219472, 
##     -17.99343624, -20.72175762, 22.67988481, -14.9971935, -45.52071975, 
##     -46.3647609, -21.58819135, -20.96563432, -31.95108092, -31.58959616, 
##     -24.41657354, -7.792874591, -23.92144834, -24.73660668, -8.665688085, 
##     -10.60498962, -5.417953886, -11.18622603, -15.00025405, -9.318321588, 
##     -20.73289015, 0, 0, -4.736908509, -21.92522451, -12.25776016, 
##     0, -14.26167796, -12.35090058, -22.39244524, -21.56477769, 
##     -9.8, -12.95814849, -16.12118602, -6.284879629, -14.92950177, 
##     -2.784590077, -22.64765731, -23.51823905, -25.14549523, -25.93501909, 
##     -17.61806629, -18.62771562, -24.26520403, -26.45335214, -27.29435686, 
##     -27.02543401, -28.01143544, -29.25945935, -21.99658019, -24.65090521, 
##     -30.30329337, -33.63847315, -27.8444651, -42.85809987, -42.00804221, 
##     -48.00212728, -49.10425557, -46.13592001, -51.21668346, -53.72317748, 
##     -51.35824363, -50.51167545, -54.82812606, -53.31403342, -54.57690174, 
##     -55.89843665, -47.69632338, -47.96274494, -48.81182738, -48.31001416, 
##     -49.84638734, -55.2083938, -51.43874434, -50.56105228, -47.27452572, 
##     -49.26418688, -51.55569809, -52.67384711, -54.64557705, -54.80182028, 
##     -56.00159492, -55.7633236, -51.72644097, -57.81653679, -53.7, 
##     -53.98215952, -55.07041848, -53.52375392, -53.28130318, -53.11463802, 
##     -52.35166196, -51.32238751, -51.72289383, -53.16376957, -51.66058369, 
##     -51.61089006, -52.72616459, -52.72616459, -52.85230132, -52.94131817, 
##     -53.08621691, -52.33596056, -51.77885212, -51.983284, -52.29629446, 
##     -53.37743619, -53.18920208, -53.27261345, -51.80022261, -51.01645657, 
##     -54.00790543, -53.20429294, -54.38674461, -55.89559313, -54.18189603, 
##     -56.48861416, -54.65995111, -52.40042787, -54.18863693, -52.96824697, 
##     -53.84690923, -53.99584608, -53.09755766, -52.50020042, -52.53617242, 
##     -54.30280353, -54.61081585, -53.36324456, -53.71498241, -53.7954993, 
##     -54.24416341, -52.02368065, -53.64890602, -53.01531257, -51.49459472, 
##     -51.39162008, -51.45996766, -55.32555945, -54.87192419, -50.82119057, 
##     -48.83782111, -50.86511837, -50.3101705, -51.80035408, -52.59423465, 
##     -52.97190441, -54.27018627, -51.79558279, -46.76229503, -52.96824697, 
##     -51.29042172, -50.847788, -49.46335473, -53.10231467, -57.1240014, 
##     -47.32253677, -53.16401477, -54.55590833, -49.57863883, -57.24327903, 
##     -53.4, -50.63599864, -53.77648997, -54.29520004, -56.64039256, 
##     -51.41913533, -50.63551359, -51.91481618, -55.02223668, -54.55035973, 
##     -51.28029857, -52.2703892, -52.73952968, -49.88370958, -49.01141545, 
##     -52.47767108, -54.49281237, -47.96110114, -58.85818676, -48.91245397, 
##     -52.9192547, -56.40656025, -59.91938652, -58.95879444, -52.92179013, 
##     -51.76695384, -55.72978489, -57.6, -54.97335711, -55.80425601, 
##     -52.68340686, -50.12445645, -50.98706544, -48.1731821, -47.27607584, 
##     -54.94087227, -54.07626989, -55.61999048, -56.83214702, -52.78131573, 
##     -53.11463802, -54.46135814, -53.53385569, -54.38674461, -56.83111724, 
##     -54.16604066, -53.30994366, -52.59590661, -52.80811837, -51.88547363, 
##     -52.21836782, -50.47216641, -54, -58.93370018, -47.28578778, 
##     -41.54364535, -52.88785362, -50.01421276, -55.33550985, -50.84262832, 
##     -55.07847543, -53.86821671, -50.63761226, -52.68077195, -58.62143928, 
##     -57.38668259, -55.69446092, -51.77215209, -49.35452539, -48.57619102, 
##     -54.50041216, -56.66307217, -53.63891971, -52.82819493, -55.0444487, 
##     -53.29316105, -53.09274925, -57.27336275, -53.3, -54.05037726, 
##     -56.18564812, -56.08209856, -53.51047249, -51.31746578, -51.03787936, 
##     -55.31523074, -51.59795992, -56.4582514, -52.72003822, -52.31519662, 
##     -52.9011301, -49.79769087, -51.29336146, -51.54140299, -49.24948208, 
##     -48.35148825, -44.81449751, -53.29730807, -57.30654225, -51.89698635, 
##     -57.94499376, -48.42208959, -58.97428986, -50.9, -44.03667706, 
##     -48.66180811, -55.57895005, -59.58633819, -42.36597541, -52.39308392, 
##     -56.77950207, -57.53593612, -58.24136784, -56.79709482, -53.60315966, 
##     -52.25823682, -53.06033227, -52.69453134, -51.62211603, -55.3818991, 
##     -56.57682778, -51.91304172, -53.37743619, -49.88666095, -52.64461819, 
##     -55.02728201, -55.06054736, -52.41495472, -53.4, -53.3141002, 
##     -51.82585269, -49.36694843, -51.8405666, -48.87653575, -47.6204289, 
##     -55.80525537, -55.63876873, -60.14214802, -42.35882584, -46.47072471, 
##     -49.4778902, -56.69626133, -51.36172202, -55.95201262, -60.09933401, 
##     -51.08023505, -50.53296527, -53.44493666, -53.79403436, -53.32477883, 
##     -51.68007752, -50.46115287, -51.18556829, -53.02925266, -55.78439281, 
##     -54.94633804, -52.19199846, -53.74646533, -50.35876428, -48.2487057, 
##     -52.3445698, -53.07234776, -51.19233811, -49.25967284, -49.63249423, 
##     -53.34500332, -48.6111318, -54.65766907, -46.33275077, -51.70219898, 
##     -51.42855091, -53.25862349, -54.76202086, -47.559368, -54.38891682, 
##     -55.70109229, -53.59915767, -51.5073103, -51.531345, -51.58434329, 
##     -51.61119587, -51.58583271, -52.33874238, -53.59513587, -55.33061651, 
##     -55.20632396, -55.80666412, -57.44941468, -56.02870207, -56.10975122, 
##     -56.57975409, -52.15162577, -51.13345202, -59.65818816, -57.81653679, 
##     -56.1, -55.58422918, -55.02432594, -52.85929339, -51.42678198, 
##     -52.725989, -50.70934781, -50.74163455, -49.19213735, -49.84972568, 
##     -50.20430231, -49.92691491, -53.79403739, -48.5927897, -48.27611131, 
##     -62.00744591, -46.37380873, -57.98868201, -42.36597541, -53.12389327, 
##     -54.46338745, -60.66590988, -55.80527944, -46.5822892, -54.56104175, 
##     -54.85273502, -61.29403104, -57.85000612, -51.00690429, -51.56663977, 
##     -53.4723412, -53.65804254, -52.6788071, -51.5946731, -49.92548016, 
##     -49.94513362, -56.43349157, -55.35709653, -45.98342192, -43.84818488, 
##     -51.94646787, -52.81977408, -54.14477614, -46.88063492, -54.18892504, 
##     -58.84711987, -54.26939926, -49.80012945, -53.8, -46.80880934, 
##     -47.97126084, -51.908993, -45.93527959, -47.87107559, -54.82283353, 
##     -54.95893491, -57.66527818, -58.52321901, -57.62655862, -47.89889214, 
##     -50.21854545, -50.36553054, -56.61278454, -55.88249017, -55.58158961, 
##     -52.41704401, -53.22283908, -51.02531628, -53.13695273, -52.71039785, 
##     -51.40533158, -54.8, -54.07286437, -49.15146472, -57.10663037, 
##     -59.60105222, -52.40428661, -52.18330534, -47.81596362, -47.38900418, 
##     -51.01476181, -49.49529691, -48.6692312, -48.08794136, -58.91269182, 
##     -54.75991193, -48.25979261, -51.92228421, -55.96709604, -57.81428538, 
##     -47.7340358, -48.46976547, -54.37243296, -59.14853704, -53.61867847, 
##     -52.40394718, -51.49172067, -48.59558445, -50.60817382, -50.39442239, 
##     -56.58517688, -57.74506451, -52.650981, -51.58835739, -50.86441262, 
##     -51.1442687, -51.96298888, -52.43843745, -50.60844704, -50.98263652, 
##     -51.8526829, -52.62786313, -54.23057542, -52.27514239, -52.45830669, 
##     -49.42598373, -50.27369784, -50.51511311, -50.59906477, -50.05099714, 
##     -52, -54.28256272, -52.99610624, -55.89372639, -51.53878587, 
##     -44.21174621, -61.70483772, -46.12230608, -54.78874826, -49.43154753, 
##     -59.19807239, -57.26191429, -56.44032306, -58.15763029, -53.16469007, 
##     -56.20209749, -56.55646065, -55.35339106, -51.0928332, -51.53234116, 
##     -51.43032003, -54.41550764, -55.31864653, -53.04442918, -53.03382651, 
##     -54.00789857, -53.08405216, -52.1, -53.43004025, -54.26003318, 
##     -55.70858166, -54.68107052, -53.54631421, -54.8772204, -54.66071185, 
##     -54.52780397, -56.00620177, -54.10755749, -55.68263524, -53.80040591, 
##     -55.18714473, -54.45751452, -53.33366675, -54.04535912, -55.28745509, 
##     -55.33541645, -54.08969337, -54.25474143, -55.41459412, -55.13943163, 
##     -53.80040591, -55.91435389, -53.79559101, -56.1182704, -55.28412216, 
##     -55.29871226, -55.71603759, -54.03237845, -55.61729597, -54.08969337, 
##     -52.76318945, -53.9735985, -54.50675432, -53.66256016, -55.38205853, 
##     -54.17674582, -52.88511849, -53.22347605, -51.10177737, -49.42846064, 
##     -47.3269433, -45.92363972, -43.97645102, -40.25557651, -35.59151512, 
##     -30.10557625, -36.49102126, -37.41319247, -37.46515175, -38.66278197, 
##     -38.39585942, -37.96018453, -47.12759074, -38.43270394, -28.93324005, 
##     -41.24750572, -58.4, -35.42819842, -33.48607545, -32.62463581, 
##     -29.57808783, -26.8466111, -26.63953252, -32.59556193, -30.59161645, 
##     -29.71467945, -31.97291557, -34.63099731, -35.94168986, -37.73763079, 
##     -38.86709117, -40.86826673, -43.2111977, -45.9773747, -45.84951299, 
##     -43.43771034, -31.54858102, -35.37901237, -42.87294822, -38.73070065, 
##     -55.60661837, -56.75757894, -47.40258086, -45.54614294, -51.51051776, 
##     -49.37622375, -45.42292263, -46.49942802, -51.70955484, -54.00406622, 
##     -62.1, -54.87090469, -53.39133016, -54.33797094, -53.68592661, 
##     -54.04195003, -55.82042391, -54.49459186, -55.54204783, -54.72546709, 
##     -54.76284898, -54.07873595, -53.74863008, -54.65533463, -54.10463491, 
##     -54.59971761, -55.18815615, -54.53877747, -54.63372249, -55.50807349, 
##     -54.39116148, -54.26340471, -54, -54.29470311, -54.63946688, 
##     -55.0710568, -54.06442815, -55.46937074, -55.74142664, -54.11519667, 
##     -54.84076811, -56.56030919, -14.85470266, -9.327324891, -5.053622333, 
##     0.487708178, -1.412081362, -0.921867833, -0.46094371, 2.805822256, 
##     4.625880731, 3.648343655, 5.877023084, 7.648850979, 6.751147406, 
##     8.224761146, 8.253890058, 10.67314507, 10.13675267, 9.377267115, 
##     10.19181379, 9.955658566, 4.769500291, -5.260169599, -6.720013173, 
##     -14.04313784, -23.63731314, -18.48442028, -23.76597524, -21.62892699, 
##     -27.61349389, -21.94880129, -28.5, 10.06205799, 12.17695124, 
##     14.32954888, 14.83345415, 16.62418812, 19.02241111, 20.04690275, 
##     20.08615669, 22.29745925, 22.54841494, 23.95185395, 26.50354768, 
##     22.97692397, 24.55005406, 27.00553704, 18.8250338, 19.47517236, 
##     16.2500962, 8.361621657, 0.478711892, -4.448093945, -19.05746147, 
##     -24.96246745, -24.3678774, -23.14738478, -26.27790066, -24.75160308, 
##     -25.15252029, -27.54062924, -27.49098415, -27.74942575, -26.83311196, 
##     -24.39960065, -25.16154008, -24.36927161, -25.91731526, -24.93363951, 
##     -24.98995784, -25.69133127, -25.52151484, -24.93705131, -24.40529538, 
##     -23.8821446, -22.38385441, -23.44453108, -21.29439612, -21.06978721, 
##     -19.88934919, -18.4, -17.62348192, -18.16384195, -17.7554704, 
##     -16.89386987, -14.02021873, -13.96076482, -14.1486148, -15.03717111, 
##     -20.81036507, -34.72295228, -25.23935761, -25.22018374, -31.67415077, 
##     -27.80146454, -28.9421269, -30.69847113, -34.16971654, -32.82920781, 
##     -30.64147132, -28.73922963, -30.27339019, -35.35723857, -33.73996579, 
##     -31.13183451, -36.64531778, -39.13214383, -31.50282735, -33.77004, 
##     -34.37697431, -32.8920753, -33.71570052, -37.5795657, -34.40302968, 
##     -35.66216108, -34.6885954, -32.13288717, -39.89401092, -33.78339552, 
##     -31.87206079, -33.58898505, -36.17582181, -36.05699872, -30.64751207, 
##     -33.92389989, -29.20563148, -26.39697731, -29.87334395, -32.81116388, 
##     -34.49269906, -30.04525864, -26.29348715, -30.38607245, -31.48595958, 
##     -32.0407436, -36.03768895, -36.64531778, -35.84539928, -30.64858063, 
##     -31.78253096, -32.9012387, -34.29818142, -31.7324298, -35.8744464, 
##     -28.06394424, -26.79202102, -30.14563819, -31.79963146, -31.40025012, 
##     -30.27015386, -30.75731887, -30.17234436, -31.86858934, -27.15482479, 
##     -27.75232157, -33.44737976, -32.92208492, -29.54302304, -31.59576677, 
##     -28.06355027, -27.76854141, -30.83097971, -35.30345096, -26.7686945, 
##     -33.62700245, -25.52880659, -26.86935469, -35.747187, -34.87291398, 
##     -32.35280107, -33.13037146, -33.51402685, -34.40698074, -31.5565854, 
##     -28.12530841, -30.75900229, -32.68145812, -35.04377208, -36.17083205, 
##     -31.53596427, -28.19993554, -27.54860148, -31.54591424, -34.06411191, 
##     -28.88871902, -33.26364349, -32.25028751, -32.22581199, -31.45176822, 
##     -31.04745988, -32.70566067, -34.00459149, -34.53013581, -33.550361, 
##     -33.6, -31.14529687, -28.3234013, -32.15840172, -29.48764645, 
##     -28.70044303, -29.65637234, -26.80372485, -33.49585028, -28.12530841, 
##     -34.91202773, -31.24808557, -25.73723993, -26.16260276, -28.89469658, 
##     -29.46275154, -26.65375017, -28.66695601, -25.84885584, -25.16609592, 
##     -26.36791255, -26.55614606, -25.97873389, -25.59419582, -26.8, 
##     -27.87780049, -27.99187715, -26.40595928, -26.37511315, -26.32839896, 
##     -27.9790293, -26.61113753, -26.40595928, -27.13490925, -28.954033, 
##     -28.0343532, -29.34021676, -30.3664114, -27.77703873, -28.31204176, 
##     -27.42913694, -30.91834768, -34.75606655, -32.6130908, -32.61534471, 
##     -33.16731296, -24.81552252, -32.1424375, -31.76018301, -27.64832963, 
##     -30.83823168, -35.56666828, -35.14862005, -26.94423172, -28.33913622, 
##     -28.35352049, -28.58252453, -26.94751729, -28.72539627, -30.00885076, 
##     -31.49962359, -32.45212276, -29.89185599, -28.63171898, -30.85403907, 
##     -37.90578911, -34.3548446, -30.57211783, -29.01724383, -27.76946131, 
##     -29.36993983, -29.6, -28.03270018, -26.25066318, -30.25398335, 
##     -27.79213889, -26.37511315, -26.08002811, -28.22965306, -28.47801803, 
##     -28.85568333, -28.54610719, -27.71093798, -27.53516124, -28.27417917, 
##     -30.04417494, -30.56905924, -27.75232157, -28.67923955, -29.40040306, 
##     -26.8453814, -29.72638796, -32.69662258, -32.66193178, -31.93709775, 
##     -30.72977727, -26.93882129, -27.93243554, -33.81645115, -29.57136535, 
##     -25.63861689, -34.69396448, -31.30331401, -33.11182144, -33.20818387, 
##     -32.90907948, -30.05409264, -29.59449105, -29.72100368, -29.51010066, 
##     -28.2090319, -31.08874499, -33.03680349, -34.55832289, -34.78444418, 
##     -32.0876267, -26.30268802, -25.55264869, -29.15939453, -37.25719126, 
##     -36.42724094, -34.21326041, -32.59923181, -31.00188762, -29.39345401, 
##     -26.68760054, -28.66591196, -28.56781792, -28.89095635, -30.02407985, 
##     -29.67588432, -28.99240071, -35.19333641, -34.87473352, -27.54499251, 
##     -29.50493886, -28.01245768, -25.88233928, -27.47137638, -29.40277087, 
##     -27.38726786, -30.65335465, -29.55068891, -26.06252563, -27.5892106, 
##     -28.69360101, -29.97716551, -29.18777051, -26.66027219, -29.56257256, 
##     -27.91647142, -29.12135085, -28.56162821, -30.99287986, -27.94550246, 
##     -28.78636296, -29.89376523, -27.85452437, -32.89260292, -34.87224051, 
##     -20.88293579, -30.02382973, -36.94213585, -38.04108449, -31.40819089, 
##     -26.49232233, -30.50827354, -33.46650376, -32.48069357, -29.7, 
##     -30.07356691, -31.74245127, -31.97174923, -31.94031874, -31.45468268, 
##     -30.96379433, -28.6881869, -28.30074028, -29.40674728, -31.00393951, 
##     -30.6545987, -34.25947172, -34.29638559, -32.85362237, -29.45798859, 
##     -29.0351663, -29.40674728, -29.6217603, -29.69132334, -34.32898952, 
##     -33.09252515, -26.3446562, -26.20362712, -27.47020584, -31.03992011, 
##     -31.55956663, -30.15004399, -28.07624486, -27.54386863, -28.99863971, 
##     -31.42590573, -28.68032341, -27.0549763, -29.73801506, -25.44574596, 
##     -27.17656573, -25.16307862, -25.58306838, -27.68240633, -28.44102314, 
##     -27.6703389, -24.33077455, -25.9644094, -26.36383821, -27.04889283, 
##     -26.78203939, -25.38173411, -27.3, -26.78203939, -29.95069915, 
##     -31.1158396, -35.56767071, -21.22496899, -24.14148673, -25.27761674, 
##     -27.76189525, -28.3101417, -25.9259443, -24.38444677, -34.9521342, 
##     -24.78519151, -27.90998886, -27.72458542, -28.22602032, -31.13874747, 
##     -33.87898799, -29.62121876, -32.85362237, -31.71602091, -30.73886596, 
##     -30.83394802, -29.83027751, -28.45251814, -31.85081037, -32.35894901, 
##     -30.51054681, -29.20499144, -29.72100368, -31.12772136, -30.11902267, 
##     -29.66946109, -29.269715, -28.0090352, -27.3181046, -26.8781842, 
##     -28.12664013, -30.15631357, -30.51934116, -28.89839638, -25.38173411, 
##     -25.83226802, -28.81107617, -30.13591214, -28.03529998, -25.88351129, 
##     -29.88733923, -28.4, -30.44597325, -31.39233211, -28.45201806, 
##     -27.32209911, -30.76010073, -31.67704226, -26.38422882, -28.72225167, 
##     -29.09664758, -28.40118488, -28.40852311, -31.55041331, -31.96414382, 
##     -29.79376922, -29.77043981, -30.04525864, -31.57641521, -35.35529486, 
##     -27.56003172, -29.66082922, -33.25848848, -40.02621325, -41.92187713, 
##     -24.70693724, -34.37276872, -32.93349054, -30.16303007, -30.91881861, 
##     -33.78064809, -35.12653692, -35.3158994, -28.67443677, -27.53726481, 
##     -29.76240344, -29.99703314, -31.30735829, -33.04092963, -34.63189134, 
##     -34.55139192, -32.86535757, -30.96766099, -29.14299203, -30.03789472, 
##     -29.5, -31.15157536, -29.7236308, -29.16260228, -30.28273771, 
##     -28.3056387, -27.58385168, -26.94286116, -28.19452735, -28.00665025, 
##     -28.41710498, -28.74621529, -27.86700817, -27.99378204, -25.48884273, 
##     -27.37815261, -29.51198824, -28.14744568, -27.3879161, -30.5251283, 
##     -33.68068548, -32.52830261, -32.31543014, -23.6263739, -27.30364465, 
##     -33.64557964, -30.09196736, -30.18393767, -31.71462911, -31.67360178, 
##     -28.01471193, -31.64365776, -32.0229639, -29.75698609, -33.16927805, 
##     -32.0636121, -28.50549243, -33.71217974, -29.00903244, -30.1, 
##     -34.31214962, -33.58727962, -30.6545987, -27.93019093, -26.35068343, 
##     -32.37915269, -32.79852913, -34.6199651, -28.76196033, -28.45143579, 
##     -28.99359085, -32.47589236, -32.71774808, -30.9181271, -31.50325749, 
##     -32.30398655, -31.2896921, -29.61805202, -30.46234908, -32.70465415, 
##     -31.83204138, -32.62696469, -32.52779501, -29.71534914, -31.1279109, 
##     -28.5, -27.79306745, -27.40048452, -28.92575394, -26.76752048, 
##     -24.92465085, -25.18301822, -28.75532609, -28.05494478, -28.84691147, 
##     -26.56050186, -28.31458055, -28.8566449, -27.34899957, -33.12547245, 
##     -25.9259443, -26.12007848, -26.00599849, -32.21130987, -28.26757743, 
##     -31.87781769, -23.70251302, -35.95219559, -29.64199151, -27.03299123, 
##     -37.78850355, -22.06881161, -19.8407564, -21.55907922, -21.59928011, 
##     -31.80375423, -35.68942696, -32.06223994, -33.78889239, -29.29021611, 
##     -30.66191811, -35.05993446, -32.50743377, -30.62212362, -30.50063953, 
##     -29.86108032, -31.92923766, -31.42358675, -32.05209424, -30.83394802, 
##     -31.08254859, -33.2176149, -30.03537874, -30.8083748, -31.68961146, 
##     -33.88109886, -35.93016325, -33.79918499, -32.99100052, -30.57497739, 
##     -30.81691356, -31.68794743, -30.64147132, -28.4166565, -31.15507497, 
##     -31.66098909, -34.89065051, -33.03050848, -31.15083945, -36.04833461, 
##     -25.60837983, -27.76483979, -32.16032765, -32.15227396, -31.08254859, 
##     -31.58126146, -33.8, -29.45859296, -31.70100115, -29.56751395, 
##     -37.74592016, -28.89556101, -27.52540332, -26.65619652, -26.34653411, 
##     -30.42510806, -31.41715814, -28.50869376, -28.08441003, -27.79377593, 
##     -29.42600546, -27.77947343, -27.38374641, -27.1, -30.54801329, 
##     -36.96142287, -35.42041058, -29.33308349, -26.45868652, -34.5782433, 
##     -31.81519029, -35.20086577, -27.90545421, -31.81030408, -27.07296314, 
##     -29.07609437, -30.73886596, -28.27078174, -29.69623296, -31.90242941, 
##     -30.59043286, -28.12187308, -28.19152914, -30.31239216, -30.47208188, 
##     -28.74501967, -31.23824682, -31.15958002, -30.18999287, -29.54193475, 
##     -29.93368206, -30.75228296, -30.51835219, -24.54460055, -32.10763402, 
##     -19.19979349, -15.80808653, -13.54219521, -24.38883637, -32.2770482, 
##     -29.08285577, -29.88450943, -24.05749761, -27.73220126, -21.52969653, 
##     -27.04241652, -28.80023702, -29.26913109, -23.56447325, -22.21308819, 
##     -25.06549334, -24.95893416, -19.96437592, -28.11021945, -33.50762418, 
##     -31.92649445, -32.77379842, -30.50042116, -30.66732561, -30.90750784, 
##     -32.3009141, -32.50743377, -32.36185653, -30.91523912, -31.27847476, 
##     -30.6545987, -25.57069685, -27.59666922, -28.62097831, -28.3749412, 
##     -30.12960443, -22.52541064, -21.66302176, -20.51129976, -19.91647499, 
##     -8.703367137, 2.953945231, 7.912984593, -25.055679, -30.89735568, 
##     -34.17103928, -25.98163533, -31.17389469, -32.87554406, -24.01455557, 
##     -28.61266371, -30.78870916, -28.36703807, -29.5132223, -30.78008138, 
##     -29.86318455, -28.09855683, -36.66449231, -32.73835611, -30.38607245, 
##     -27.69726456, -32.4, -64.98387699, -78.695257, -32.89899682, 
##     -34.23523198, -47.77370107, -57.18628887, -51.83672243, -44.91659465, 
##     -37.22581807, -38.85712217, -35.9394764, -36.61865602, -52.86486147, 
##     -45.57523959, -49.14404272, -44.33299305, -39.26998326, -42.6, 
##     -41.38250385, -42.40724822, -44.67610284, -41.99538397, -41.19442501, 
##     -40.17875532, -36.51653841, -48.69786777, -47.48033857, -43.2967318, 
##     -39.05689793, -43.83637043, -45.60785242, -46.43327253, -43.71684494, 
##     -36.65799278, -43.24077756, -43.1898595, -42.41085288, -39.34940564, 
##     -44.02656007, -42.10004743, -46.18515072, -41.64077992, -43.2, 
##     -39.7309342, -38.2278023, -39.98395055, -44.16450103, -44.2282807, 
##     -41.93038515, -39.1050221, -38.2278023, -39.75574234, -39.87891052, 
##     -42.39892376, -41.79005417, -40.44123458, -44.55122487, -47.77705175, 
##     -47.89135985, -39.05222819, -36.71738338, -38.07810232, -46.2, 
##     -45.01675117, -49.60082645, -51.73626771, -45.89212085, -38.92052626, 
##     -45.12695016, -47.12012811, -50.15696287, -42.320589, -46.33290615, 
##     -50.82672462, -47.55961824, -46.74154767, -42.47312675, -38.18827044, 
##     -44.08279813, -45.40771437, -46.10300454, -46.27819947, -42.66539795, 
##     -45.40771437, -45.8566927, -48.76162427, -48.76162427, -45.27572152, 
##     -45.06939685, -43.29717325, -49.33374653, -45.73992599, -50, 
##     -51.04883219, -45.16334411, -46.42404653, -50.73198853, -47.88436815, 
##     -49.70351139, -48.858928, -42.76410058, -41.84549715, -44.08279813, 
##     -45.94530857, -55.18600345, -35.72415443, -49.39839608, -32.36133457, 
##     -43.23790615, -46.69479831, -57.51968948, -62.19010997, -39.87131043, 
##     -50.53957999, -64.32563532, -60.71433713, -46.30930545, -41.65159911, 
##     -36.73788006, -29.75690306, -26.91543225, -29.71677135, -38.11393886, 
##     -39.04189298, -42.1737264, -46.91959123, -39.14324404, -36.28670265, 
##     -41.7260392, -48.59224925, -41.10062878, -43.69494766, -45.34895499, 
##     -56.96698429, -62.56267204, -42.01259582, -42.27500145, -42.15857449, 
##     -34.33273488, -29.80175655, -37.8, -42.83841587, -39.37489549, 
##     -37.20496699, -48.23659426, -48.65205033, -45.8320356, -47.94013582, 
##     -52.4446574, -44.94108703, -47.25074979, -48.44107453, -41.36621041, 
##     -44.44947497, -47.29037459, -49.33374653, -51.48059551, -52.60831882, 
##     -44.10946539, -47.29037459, -44.33915539, -37.1, -34.07312188, 
##     -50.89659667, -51.52435388, -51.04475147, -48.80474673, -44.97995607, 
##     -46.33290615, -45.08253864, -48.9130809, -46.0524587, -42.42642993, 
##     -41.84114719, -46.00891863, -64.59408587, -40.14867691, -50.94669419, 
##     -43.84613415, -40.16472364, -47.3047086, -47.53580647, -45.37758408, 
##     -35.50043812, -34.06863353, -51.77351648, -50.52436045, -42.29400232, 
##     -41.8, -50.83674919, -48.84969307, -45.73009469, -46.41284692, 
##     -47.41462155, -43.40424078, -45.48116329, -44.97366426, -46.84173371, 
##     -44.70314474, -46.76532438, -46.76222726, -46.11981114, -50.4919075, 
##     -42.3318316, -51.84932763, -46.96957852, -48.57034241, -43.08245717, 
##     -52.83452671, -47.57808343, -51.03928556, -51.94657655, -40.18014387, 
##     -43.32603199, -59.07727251, -49.01916565, -39.65239501, -44.22150603, 
##     -50.86229061, -43.7490844, -55.30357331, -50.15696287, -44.91932335, 
##     -47.73744733, -46.71637183, -46.3647609, -45.27572152, -47.27763083, 
##     -46.41284692, -46.90199853, -42.22354212, -43.64202029, -47.45844997, 
##     -48.83252914, -44.70314474, -45.40127482, -48.9074671, -53.24740353, 
##     -47.43647591, -44.24857663, -48.98661358, -52.9, -51.80507155, 
##     -46.88325532, -44.30469293, -43.51719689, -44.83118683, -46.93175321, 
##     -47.27763083, -54.5089829, -58.16965592, -49.1781278, -46.54412762, 
##     -51.49792975, -48.09648234, -40.24760858, -50.50868551, -43.2922908, 
##     -42.09337283, -53.88941766, -60.19113634, -46.74154767, -48.47877055, 
##     -45.9, -45.59379022, -41.84040562, -55.23363135, -57.74699514, 
##     -45.44762038, -43.46312457, -41.34089505, -44.73785744, -38.67498439, 
##     -43.50189135, -43.05682573, -46.16103954, -53.46087515, -44.349302, 
##     -44.78011577, -48.2541235, -35.42615671, -50.49068334, -48.97216054, 
##     -44.7215899, -46.12734752, -50.57123655, -45.63069702, -46.75040063, 
##     -52.30738889, -47.37182328, -43.20884865, -44.91932335, -49.94727674, 
##     -46.0761704, -46.16605154, -46.75863531, -49.49817609, -50.31664845, 
##     -46.52834845, -44.91932335, -46.03231069, -47.63779127, -44.60811499, 
##     -44.62347968, -46.26903757, -50.98227998, -49.54705284, -47.3, 
##     -48.04691973, -51.52435388, -47.46725942, -50.63172331, -49.99732682, 
##     -42.51294441, -50.19179594, -42.48429682, -46.568239, -43.11486363, 
##     -43.14004824, -48.16869494, -48.42884188, -48.53046004, -41.87059796, 
##     -47.69818874, -36.84175101, -38.02196875, -48.53521738, -56.24963649, 
##     -58.37033796, -45.47292167, -40.54664094, -42.60664771, -55.73012924, 
##     -48.94373347, -41.67022607, -35.58278825, -37.04334462, -42.68334824, 
##     -43.5735085, -43.64652371, -51.5444662, -49.52294515, -44.94108703, 
##     -45.23078639, -39.93519872, -49.56960305, -41.59787606, -41.07310995, 
##     -39.54756162, -44.6, -47.4955713, -49.65097826, -53.13081216, 
##     -55.30292234, -55.30292234, -44.48809657, -45.36503799, -46.15220732, 
##     -41.51538812, -49.70351139, -47.67927625, -42.78518817, -36.23535768, 
##     -38.2339489, -48.12240016, -49.8601091, -43.49323867, -43.12864637, 
##     -36.41467084, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -44, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -50.14304159, -45.9619331, -48.53171943, -53.65073941, -48.63999403, 
##     -46.8595751, -48.9074671, -48.18905884, -49.9196122, -49.10593241, 
##     -43.24943943, -45.50905502, -44.08932714, -49.75364093, -49.68640295, 
##     -49.81633476, -49.70351139, -46.20614355, -48.93713978, -43.84959832, 
##     -43.75611033, -51.74376149, -53.92565503, -51.4, -50.39612629, 
##     -54.74130439, -46.87242179, -43.23790615, -48.01847828, -36.90920387, 
##     -43.83504877, -46.99665293, -47.26435856, -47.00939832, -44.65651725, 
##     -60.74897661, -35.01375562, -41.18165127, -38.58187256, -39.77507048, 
##     -43.80329146, -44.3, -42.70979138, -46.72205321, -47.72463894, 
##     -45.49034159, -35.23183736, -31.56224897, -42.10004743, -51.4204371, 
##     -50.57838521, -49.20083986, -48.37086936, -46.9959919, -49.4466767, 
##     -38.13251777, -39.93564684, -36.72065366, -48.36239426, -51.66846794, 
##     -49.31618541, -44.60980045, -41.78559804, -50.61548547, -50.1, 
##     -37.25226219, -31.98861155, -32.50044343, -39.67086629, -39.44823357, 
##     -45.22853887, -48.10174348, -49.01480833, -42.25504741, -37.76018664, 
##     -32.20954614, -27.07971746, -33.59249236, -41.97086077, -50.49200166, 
##     -53.83432235, -52.13041636, -35.31277524, -26.29947317, -24.1685535, 
##     -41.22910824, -46.64065272, -42.40724822, -38.90178781, -41.92302488, 
##     -35.6, -55.62596691, -53.02779203, -57.68994269, -49.19747657, 
##     -53.34055668, -51.68465044, -54.11519667, -54.36227078, -55.38205853, 
##     -54.16205563, -54.93665959, -54.05381261, -54.98078078, -54.47341954, 
##     -54.1428949, -54.16291408, -53.64243821, -54.60974007, -54.68112454, 
##     -53.72000975, -54.63372249, -59.39709483, -45.44920523, -46.41904918, 
##     -54.74922593, -61.08222584, -57.53227765, -46.71602538, -39.84911378, 
##     -47.14087646, -60.09904687, -55.91805656, -54.68112454, -53.83629111, 
##     -45.72283716, -47.13485608, -42.41776568, -45.22182487, -39.98497759, 
##     -42.3285002, -41.97496482, -52.08236593, -54.26105984, -57.05335941, 
##     -52.27369753, -48.3863575, -58.01311735, -51.09938272, -51.07287348, 
##     -52.63389887, -51.78322272, -52.04085519, -57.51975928, -52.66320043, 
##     -51.13850901, -54.9125439, -53.47094227, -53.1770698, -51.71495553, 
##     -52.531611, -55.2, -76.20433683, -75.49511007, 0, 88.84797719, 
##     94.30354482, 7.963988788, 7.792874591, -8.748194753, -12.73440271, 
##     -40.37146867, -54.74170256, -35.34405427, -26.45637071, -50.44982316, 
##     18.2835137, 54.71623736, 129.5153528, 39.42443751, 6.228414115, 
##     6.228414115, 6.228414115, 6.228414115, 6.228414115, 6.228414115, 
##     6.228414115, 6.228414115, -2.020030285, -2.020030285, -2.173057424, 
##     0, 9.699551981, 9.699551981, 14.9535937, 21.28629478, 26.1709075, 
##     18.63285557, 24.23214635, 13.77962246, -3.997868712, -19.25332508, 
##     -34.53009053, -31.18902154, -39.81287682, -27.8299659, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.2, 23.58861139, 33.20391112, 
##     28.38799277, 27.27962512, 28.53990335, 34.22120935, 24.47123249, 
##     31.66831942, 38.49881141, 32.99183366, 15.77132808, 38.0125136, 
##     1.196111781, 45.19935403, 1.003889239, 21.98553668, 46.99733978, 
##     50.28701526, 19.05086031, 8.466847713, 14.7, 16.45884779, 
##     32.13247354, 41.7049242, 46.34933654, 43.89621252, 27.6588275, 
##     31.08126502, 22.98116887, 21.10711242, 23.43681688, 23.17254392, 
##     41.81960491, 46.90705159, 31.18977964, 18.56968263, 12.68985834, 
##     14.94916908, 18.03312668, 22.33065872, 21.83993648, 19.14714475, 
##     18.43729933, 24.95869254, 28.92562788, 34.11294156, 26.83415244, 
##     18.21224401, 33.5152961, 22.45245509, 24.7125647, 21.66144762, 
##     35.87449881, 29.74651154, 16.67221808, 4.291740576, 22.87585196, 
##     16.46709884, 33.24167345, 40.12602743, 47.43443863, 8.500421476, 
##     11.56207191, 15.42799708, 12.84217195, 29.70314314, 47.03028352, 
##     39.75779188, 22.96702951, 13.88631026, 24.28369503, 19.79519201, 
##     14.61955714, 19.96449773, 29.74109419, 26.36341129, 34.37816193, 
##     17.59786557, 20.83319936, 21.9502908, 28.34560571, 31.44397272, 
##     47.65098351, 47.35857154, 31.82608538, 25.7285848, 5.90367291, 
##     7.754340697, 31.75367613, 19.59746798, 24.7321034, 26.84766828, 
##     31.09157371, 26.46026161, 16.42412348, 35.81657562, 27.6, 
##     27.04122934, 19.63263241, 18.48153102, 30.68507816, 27.7727259, 
##     45.98488709, 30.98253108, 35.51041848, 34.44123519, 32.17505544, 
##     32.1256255, 32.9326167, 31.09776386, 19.73955598, 18.38723242, 
##     35.42288998, 35.49726465, 37.59138038, 29.55947109, 31.37384835, 
##     0, 2.87400631, -58.09535541, -40.60420019, -78.79622772, 
##     -31.09834179, -4.423018874, -50.90836756, -19.93472077, -4.869848449, 
##     0, -7.840635489, -12.73440271, -4.378279773, 8.416560456, 
##     -3.322888937, 2.954410733, -4.429522789, 0, -18.80134524, 
##     -3.807855088, -5.597464891, -2.842484873, 0, 9.671159884, 
##     3.712200632, 8.257241048, 14.74776891, -26.22551589, -40.64889657, 
##     -3.003305536, -3.4469101, -8.28553568, -16.69288047, 10.36336795, 
##     3.494994267, -3.193296965, -9.149935626, -5.171454308, -18.53335119, 
##     -26.44066214, -22.72865884, -20.2027777, -14.09915119, -31.26604708, 
##     -25.10026866, -7.448970869, -6.36858342, -2.081226689, -6.109741718, 
##     -7.875680801, -23.07059025, 6.426771909, 7.338941909, 9.713842124, 
##     13.41053322, 16.85595098, 18.2835137, 22.51823369, 15.21526749, 
##     8.513222858, 9.765232473, 15.40375366, 12.49359638, 13.43672429, 
##     8.760775149, 11.60307711, 9.485341082, 10.98383378, 20.65411303, 
##     29.41072172, 55.43074962, 35.4705652, 29.73297907, 22.73850546, 
##     9.327234728, 14.74776891, 15.87177015, 11.08474123, 20.89769337, 
##     18.91572261, 21.47723828, 21.47723828, 13.22382361, 19.61362597, 
##     12.23480245, 14.47505604, 14.75780318, 21.09627924, 22.47210204, 
##     5.130455526, -2.387956884, 6.6162206, 9.094061948, 4.939150935, 
##     8.117018469, 4.939150935, 8.438173533, 21.79373406, 13.42729979, 
##     12.64360054, 6.745410915, 9.045103586, 12.43282937, 19.05086031, 
##     16.39016842, 27.24966302, 16.35456966, 7.414198223, 9.774557973, 
##     24.28442645, 20.33722949, 15.1522534, 36.76704798, 58.51743969, 
##     78.53981634, 10.16048333, 18.15010063, 7.485256552, 14.93221904, 
##     14.88756236, 10.99061306, 11.90934365, 17.20314827, -7.419298003, 
##     5.201097082, -6.001202956, 6.07270306, 6.181957436, 9.960682887, 
##     11.42683324, 43.59128869, 20.18596863, 33.51265581, 12.08743067, 
##     6.784973892, 16.96933711, 24.77834762, 4.709251961, 11.8171466, 
##     23.92831831, 11.64123361, 12.34044667, 6.664203286, 9.816330294, 
##     12.78425662, -11.48766054, 17.19961357, 0, 23.07059025, 35.31277524, 
##     -18.41870742, -3.597525954, 0, 5.865466468, 13.02822043, 
##     8.257241048, 0, 21.36205913, 0, 0, 19.73955598, 0, -7.963988788, 
##     0, 10.50214329, 16.48989946, 16.19885075, 15.41025568, 19.91274947, 
##     20.31972605, 15.83372747, -7.185763963, 5.637347109, 20.87699015, 
##     -8.1, 6.972979491, -8.920534355, 0, 7.185763963, 8.522879853, 
##     -21.36205913, -7.677189127, 5.710404432, -22.67988481, -5.885750595, 
##     21.26789693, 21.26789693, 20.0344996, 9.774557973, 0, 9.774557973, 
##     8.06697625, 19.36583004, -10.50214329, 0, -25.09060767, -10.80428526, 
##     31.43649762, 40.94054768, 29.8431069, 32.84743214, 31.06829067, 
##     16.65215577, 19.25750868, 18.83580132, 24.76563347, 36.77618804, 
##     27.02344556, 30.26380374, 32.75214839, 36.37550719, 31.67586204, 
##     11.88890318, 27.36650825, 24.8734771, 25.80765916, 26.53230488, 
##     27.33990048, 27.2475007, 32.50411456, 30.5576788, 31.65384645, 
##     27.54261037, 20.77810898, 23.39312653, 26.62391001, 22.18934466, 
##     24.49668993, 26.3661518, 26.97183973, 31.85388474, 25.25542758, 
##     30.97540402, 37.10999847, 34.41770554, 45.81384163, 30.06214806, 
##     24.75401749, 28.72639102, 25.46645413, 25.85202531, 33.19996555, 
##     36.41317954, 31.75367613, 36.42641016, 37.00445466, 35.29679486, 
##     23.64396147, 36.2568702, 18.78967254, 35.43331137, 28.53193102, 
##     19.36583004, 39.05096211, 26.5, 20.55590814, 22.49840205, 
##     18.12166141, 21.74948357, 22.87585196, 22.71575094, 21.41056944, 
##     23.29299515, 24.176241, 18.61957128, 34.03136664, 35.27031911, 
##     26.04393778, 43.81847256, 47.69606342, 28.71050609, 15.75438074, 
##     19.50977624, 26.37615754, 34.70724525, 43.91242392, 33.13243486, 
##     30.98033017, 23.54053169, 27.35458812, 22.84966393, 30.30544579, 
##     26.29122477, 16.69288047, 35.73545474, 27.54261037, 29.08613678, 
##     30.28694237, 31.70058628, 17.02973832, 29.70505411, 31.82867219, 
##     21.94946449, 27.18748717, 35.61505314, 43.96869849, 40.17460591, 
##     25.18488602, 25.01279536, 27.5296048, 15.94965403, 26.2609078, 
##     32.72772706, 41.24215559, 38.82501868, 13.32039125, 26.4, 
##     44.90642244, 20.88495754, 13.38843844, 18.87656925, 17.14453967, 
##     38.80249055, 35.86993445, 15.07000364, 22.46446398, 31.02577489, 
##     30.7329786, 12.32416546, 26.3616585, 21.7262802, 22.674595, 
##     41.36307658, 34.24641934, 33.34364013, 31.81650011, 29.58431021, 
##     25.36000756, 28.14792985, 29.31219349, 52.18342798, 38.98848806, 
##     18.61455221, 22.57083787, 28.88056489, 25.52509338, 30.06428539, 
##     18.14451198, 54.08973443, 37.60058704, 30.34879568, 40.01227456, 
##     26.7129093, 21.26680616, 21.36205913, 30.5401107, 36.07899946, 
##     39.33400148, 30.97835424, 28.81538394, 25.12586501, 29.38733286, 
##     34.65469248, 32.86025154, 32.48124648, 31.37384835, 33.86171775, 
##     29.65354425, 36.61910749, 31.78889467, 26.11742532, 29.49276981, 
##     27.07391266, 30.62083973, 34.03139275, 34.5038908, 35.02154177, 
##     36.92352361, 10.52348386, 42.90011316, 24.88256161, 28.93671531, 
##     23.44811294, 21.26789693, 15.21796402, 27.30565732, 24.55320035, 
##     12.8706473, 28.61896536, 12.45374618, 14.1602813, 30.09015361, 
##     29.24472125, 37.61800649, 11.19331836, 25.08786511, 18.51909171, 
##     24.97618879, 22.49820409, 19.16281866, 25.48744112, 20.94557958, 
##     21.75074296, 28.19993554, 25.34454046, 23.93879405, 26.62356608, 
##     29.43933319, 18.31756638, 21.11253394, 20.1222352, 14.85609679, 
##     18.86112226, 25.19210533, 23.98856196, 15.40050573, 16.30599046, 
##     25.95894648, 25.48224383, 26.51976494, 22.19702009, 32.08469715, 
##     30.13218228, 25.03487589, 18.19141795, 14.25945844, 18.29862476, 
##     17.5481021, 25.84022142, 21.43567112, 18.88966269, 18.73116259, 
##     14.69191759, 23.46263301, 23.36024827, 30.32775693, 18.53335119, 
##     6.193804083, -10.95085409, 1.8, 13.17800184, 20.65451763, 
##     3.1612242, 13.15600202, 16.58460711, 12.8052026, 5.417953886, 
##     7.919521869, 14.64987616, 2.259971186, 6.81520594, -1.034636551, 
##     14.79401429, 13.13904277, 16.49193344, 21.85415988, 27.67957719, 
##     26.64489458, 16.11960052, 0, 5.54132321, 19.3267136, 20.90467311, 
##     15.99425644, 23.9921012, 17.64520249, 19.79944284, 26.73543624, 
##     22.42327521, 15.1140455, 15.1140455, 21.34577303, 22.5, 12.39044983, 
##     13.55190711, 5.500932333, 1.922662201, 10.2724447, 17.9394739, 
##     -0.848626584, -1.020957556, 14.00671817, 15.45928475, 4.654101051, 
##     0, 8.709195712, 7.134449173, 10.52905099, 13.33404564, 13.17678603, 
##     8.992828258, 9.170813115, 10.51989843, 9.203361298, 15.88692496, 
##     17.89865784, 22.16855069, 19.52699057, 15.35111186, 15.52206533, 
##     15.87713194, 13.83063259, 10.57615244, 18.90214934, 13.19510027, 
##     9.147572196, 23.05407223, 20.68126984, 17.5628701, 20.2305453, 
##     12.6546195, 7.768667861, -14.11794316, -3.134324095, 5.565107894, 
##     -10.55237451, -12.95795962, 0, 1.353495178, 10.48004739, 
##     10.4, 3.997669047, 2.064197121, -3.014504599, 5.798795519, 
##     4.624347177, -2.894938511, 7.750247739, 9.122163295, 10.85889791, 
##     7.40061559, 9.879252569, -1.712678652, -1.901086869, 0, 7.293784327, 
##     12.87954029, 29.94929421, 13.74107118, 5.670228506, 13.36584334, 
##     13.08767142, 13.01401366, 13.26774619, 16.59819409, 15.2, 
##     12.12439267, 15.6730057, 15.41432363, 14.65716696, 18.51517212, 
##     23.05094937, 14.0200567, 16.43711932, 10.50981015, 14.82124487, 
##     17.19876556, 16.11307624, -5.8749485, -5.737361683, -10.09875687, 
##     6.922672614, -1.648974043, 11.7, 14.96704571, 12.04507244, 
##     11.44247631, 4.911965187, 14.5248301, 9.290005405, 15.60584881, 
##     4.809991387, -1.006785104, 6.97627809, 13.51404123, 9.732745274, 
##     21.38768304, 21.0635879, 9.212517763, 6.063083773, 19.79949122, 
##     16.41288532, 12.92203518, 12.24244068, 13.5612082, 13.31149522, 
##     12.68237844, 18.18621215, 21.9, 41.09941236, 57.22564265, 
##     51.43616739, 49.65001354, 47.32994729, 46.63623477, 51.32654073, 
##     47.88827348, 37.09991354, 36.4513931, 38.03986643, 30.15490321, 
##     29.29171372, 57.93780583, 55.22890193, 42.1, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.5, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.5, 
##     65.50938311, 10.75556916, 30.24464747, 25.65549817, 29.50386198, 
##     37.85270892, 50.24148996, 56.84586499, 41.45068746, 25.34401123, 
##     6.09805505, 14.32298874, 44.58032711, 50.61899196, 55.83799936, 
##     39.57687658, 39.55733415, 32.44508724, 25.42639429, 60.55093449, 
##     47.837328, 38.66362892, 55.08643611, 37.03710885, 10.26432443, 
##     0, 48.76162427, 149.4024436, -21.36205913, -9.682486775, 
##     11.13410143, 37.37921748, 48.62854932, 49.57196303, 40.88706068, 
##     42.66274931, 16.4033941, 0, -35.67333885, -33.76753074, -58.09535541, 
##     -83.72150032, -10.06737536, 7.889285443, 30.62773692, 32.45066917, 
##     31.45897426, 48.44145147, 78.53981634, 42.87951769, -12.2271785, 
##     -53.76832531, 24.49786631, 56.39426414, 67.53439969, 66.11254495, 
##     42.94222042, 38.31870169, 34.81826577, 44.88365787, 41.22312555, 
##     39.0454853, 41.10645474, 55.73395878, 53.92936475, 45.86067506, 
##     40.45980746, 20.28412977, 25.66816544, 52.92009968, 60.20595264, 
##     55.21173932, 49.38042038, 44.76934617, 60.12642167, 58.80026035, 
##     73.43357968, 53.73601722, 16.66092706, -5.122036189, 49.15439241, 
##     68.05212247, 62.87962864, 45.33517161, 38.02308153, 23.53636473, 
##     39.44832955, 41.45068746, 44.24918272, 41.90027766, 31.6139646, 
##     30.67095024, 49.31831267, 82.88490588, 110.1646451, 38.57869316, 
##     44.007402, 43.46312457, 22.23548814, 13.46376116, 0, 0, -77.02443284, 
##     -63.88651442, 31.7663193, 5.145715536, 13.65063112, 32.17505544, 
##     77.33488044, 63.2748835, 28.78688089, 20.39001248, 33.12054697, 
##     37.17113505, 46.314842, 14.51398482, 36.41676937, 42.72699247, 
##     51.540055, 68.41529123, 65.27456546, 48.88080039, 35.02154177, 
##     41.59676844, 45.57310256, 46.86015321, 61.50346375, 53.05322043, 
##     41.95868476, 43.8370985, 35.48139032, 36.12466599, 43.19083325, 
##     42.2, 30.62773692, 16.03030484, 55.93892414, 44.81390806, 
##     53.78853341, 55.08643611, 29.52271571, 47.93442904, 44.57381122, 
##     40.32596974, 46.20035427, 27.8299659, 42.27370309, 39.91620484, 
##     45.31684456, 47.02203179, 33.70241939, 28.44780051, 37.57343019, 
##     56.1, 67.6350265, 56.15410005, 51.18556552, 47.55604932, 
##     51.98296697, 49.90690163, 49.94727674, 49.63318948, 49.605962, 
##     50.08940187, 56.94439972, 48.43352821, 52.90716543, 41.058374, 
##     60.17352811, 67.51240955, 57.62655862, 64.98704494, 39.10154423, 
##     30.26599422, 39.74125597, 36.91586255, 33.32178506, 46.91455542, 
##     49.39413689, 46.75151317, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 2.099031534, 2.099031534, 2.099031534, 
##     2.099031534, 2.099031534, 2.099031534, 2.099031534, 2.099031534, 
##     2.099031534, 2.099031534, 2.099031534, 2.099031534, 2.099031534, 
##     2.099031534, 0, 4.669296788, 5.137220971, 12.58228904, -3.463409169, 
##     4.934638688, -20.65411303, -17.91306093, -16.92370867, -24.09445469, 
##     0, 50.64446434, 72.38392542, 14.26167796, 0, 19.73955598, 
##     20.7776004, -80.66811856, -73.0588925, -73.47078469, -37.64348721, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.8, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -63.49037728, -58.85732442, -19.84726898, 9.301376312, -12.98611583, 
##     -21.70852089, -19.22334764, -40.26640502, -48.49544493, -59.53180927, 
##     0, 86.63971407, 34.18627377, 38.77583425, 47.86257405, 48.83643956, 
##     30.99303188, 17.40860533, 18.58122405, 19.09474519, 21.48815809, 
##     30.11503712, 28, 30.41236213, 33.05532702, 39.28134984, 44.47579838, 
##     32.79343046, 30.72187752, 34.14354465, 37.68962491, 37.21283783, 
##     35.6422047, 25.70812687, 42.19931207, 51.00869338, 40.61797149, 
##     42.19389047, 23.09431842, 0, -14.52674139, 3.140887863, -6.316142761, 
##     -46.3647609, -65.40734103, -65.40734103, -65.40734103, -94.30354482, 
##     -104.2899579, -55.51211676, 24.3, 0, 57.01806502, -42.62388609, 
##     -57.66269509, -73.53657358, -76.84150974, -74.55784139, -18.36040103, 
##     25.2481263, 14.04897018, -3.44231206, -17.56369254, -19.13399537, 
##     -56.65047535, -57.76681043, -56.95253489, -48.73835109, 4.132137731, 
##     8.522879853, 70.36389513, 31.70354333, 38.41441992, 11.68840468, 
##     20.13337684, 32.68843154, 40.11877261, 50.79315616, 52.31951013, 
##     49.34205333, 20.80454284, 42.46586894, 41.30574314, 37.87814684, 
##     32.94449158, 32.58142603, 34.25972874, 38.2351151, 36.0165332, 
##     38.93255099, 32.02507013, 27.61607897, 34.91831474, 44.22884296, 
##     49.25383865, 55.5550148, 57.85348078, 51.63749752, 59.21753101, 
##     38.57125182, -29.13999456, -10.85989013, 10.13826667, 6.56650515, 
##     -75.29077706, -30.06848912, -41.7, -39.68271252, -75.40279587, 
##     -71.63614109, -16.03030484, -16.26045354, -16.03135583, -27.41813715, 
##     -33.83853107, -40.80866632, -46.98467046, -46.95758868, -66.75294446, 
##     -55.83924199, -42.89397609, -25.68139174, 12.31702211, 33.7408001, 
##     55.51211676, 17.43768582, 42.54219017, 35.77715484, 34.46514971, 
##     39.9501335, 31.3939362, 27.99447002, 23.95112507, 21.45405338, 
##     19.85988557, 22.05982383, 23.08091105, 35.08599874, 35.67800998, 
##     43.38012221, 37.22586847, 31.38433506, 32.24679287, 34.63329654, 
##     25.84158764, 28.00223186, 46.47855909, 59.78416572, 55.26481095, 
##     38.55643472, 35.93408299, 4.3, 8.174065319, 8.174065319, 
##     8.174065319, 8.174065319, 14.82467174, 5.764704349, 5.764704349, 
##     -32.25767744, -32.25767744, -32.25767744, -32.25767744, -53.76832531, 
##     -53.76832531, -53.76832531, -27.0549763, -37.29942677, 50.82672462, 
##     82.99013446, 137.0249969, -34.77194896, -69.09659007, -73.27221455, 
##     -65.35023908, -9.93533236, -33.45089664, -34.13420909, -39.27082455, 
##     -36.90117496, -25.3, -27.5062656, -27.0549763, -16.98462881, 
##     31.7663193, 0, 28.82548942, 22.21050216, 14.36184996, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.8, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.8, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.83261367, 16.83261367, 
##     16.83261367, 16.83261367, 16.83261367, 16.8, 9.136665103, 
##     11.65110628, 15.50743156, 11.31477624, 10.11878428, 10.11878428, 
##     6.372892836, 6.372892836, 6.372892836, 10.03488195, 10.43105437, 
##     15.76355376, 15.65152668, 13.97318969, 6.273189354, 6.020507271, 
##     6.020507271, 10.20057874, 6.351432768, 11.24619489, -11.14706425, 
##     -19.13292315, -22.17473037, -18.22437579, -14.6693208, -9.120026166, 
##     -15.49967419, -18.37761923, -20.99271129, -6.238843335, -30.23610732, 
##     -49.93467217, -34.30239404, 9.917726108, 39.42443751, 26.81069273, 
##     14.79814607, 17.43768582, 32.64826728, 39.85224457, 37.23953695, 
##     7.394465252, 0, 10.72802555, 5.033671492, 0, 6.260200636, 
##     -27.96572429, -7.059317928, 21.05726186, 5.441968602, 11.76647778, 
##     15.82821675, -4.18976477, 17.70902352, 12.05810323, 26.6, 
##     44.06878569, 19.69695924, -28.60221749, -20.00941447, 0, 
##     -4.128614519, -10.83595455, -13.37315894, 0, -4.093870989, 
##     9.084675248, 8.577573084, 5.194076469, 20.31972605, 10.11878428, 
##     0, -63.88651442, -24.31608692, -40.50396507, 0, 42.40724822, 
##     112.2674957, 75.43705014, 33.45089664, 14.1266364, 34.20058522, 
##     15.96683158, 13.26097949, 11.92754369, 11.71087446, 10.23404402, 
##     5.54132321, 2.455389797, 11.05820194, 15.96632276, 10.041963, 
##     8.515151631, -9.966865249, 21.45405338, 9.716707739, 21.5971921, 
##     -4.537649146, -12.35090058, 14.51398482, 33.7408001, 29.59052978, 
##     35.22737092, 10.11878428, -28.89941176, 4.4079538, 4.469158104, 
##     0, -18.75077692, -9.410703976, -20.42247182, -15.1, 0, 4.654101051, 
##     15.83372747, 11.95948865, 5.43392825, 0, 11.13410143, 5.194076469, 
##     14.75780318, 12.31702211, -10.80428526, 0, 12.7863466, -10.37420604, 
##     6.419411024, 0, 0, -10.00420273, 7.957682308, 32.12885893, 
##     26.93688999, 45.16334411, 74.0864914, 46.80302445, 29.97074379, 
##     15.38186994, 17.91306093, 15.38186994, 15.46647399, 0, 0, 
##     -15.57553068, 0, 12.05810323, 12.8052026, 0, 26.44066214, 
##     18.36040103, -4.61921347, 16.17381726, 45.9619331, 11.95948865, 
##     17.70131455, -21.73733646, -46.77003754, -54.64480832, -40.25455506, 
##     -26.93688999, 0, 16.77095405, 0, -26.21529333, 6.55591303, 
##     12.58228904, 18.97449046, 5.441968602, 15.82821675, -44.29110441, 
##     -60.18137752, -60.12642167, 0, 6.325613055, 30.91111937, 
##     11.68641362, 18.88966269, 24.92643378, 35.79035134, 35.1444794, 
##     10.80428526, 10.43048693, 2.213133358, 6.598592226, 0, -6.758664505, 
##     -6.55591303, 0, 27.43426048, 22.95176793, 12.1367889, 14.26974268, 
##     22.33155364, 6.762526978, 43.98425828, 27.0549763, -17.26357367, 
##     -23.79411248, -38.53384483, -6.857259871, -13.25515323, 0, 
##     6.972979491, 23.28681783, 0, -26.81069273, -50.70985044, 
##     -11.18622603, 30.9470985, 43.5249907, 48.68992318, 52.00567048, 
##     28.9873469, 36.16470088, 32.97533162, 3.145546018, 10.25382675, 
##     -3.659625492, 10.50214329, 0, -27.88403149, 14.46749664, 
##     15.24520926, 18.3, 10.83242198, 7.82861298, 22.16330202, 
##     0, 7.444382633, 19.28481162, 29.58324161, 4.551729119, 9.682486775, 
##     -4.846913382, 12.8271898, 17.98534998, -39.90187295, 0, -5.54132321, 
##     4.61921347, 0, 4.869848449, 3.534061871, 11.31477624, 14.39963108, 
##     45.16334411, 8.174065319, 0, 12.08743067, 0, 27.91353291, 
##     9.028959009, -9.361321189, 16.58411976, 37.21818657, 6.050431418, 
##     3.488608118, 2.922694244, 0, 13.37315894, 13.06833265, -3.534061871, 
##     5.632873609, 3.623410597, 6.88564893, 12.13430661, 19.59166241, 
##     1.733004227, 6.714716517, 17.16745973, 7.336746913, 16.5058661, 
##     26.35535376, 13.77962246, 24.49179176, 23.70002025, 11.72277446, 
##     9.880005258, 36.46665336, 45.19935403, 21.38647514, 19.60253466, 
##     19.13399537, 19.80915316, 17.44095999, 17.47051074, 14.79015088, 
##     12.45423831, 9.878933835, 45.20961266, 23.62336529, 17.70876852, 
##     24.51611713, 26.04732706, 25.54691374, 11.61394066, 11.095957, 
##     23.51375685, 26.67780802, 31.32461973, 15.74082046, 3.854239789, 
##     7.531553656, 7.230234289, 5.4, -55.47723685, -54.26340471, 
##     -55.27124555, -54.89195103, -56.50351713, -56.54962078, -54.75418321, 
##     -54.70192894, -54.63863911, -53.62662364, -53.60944393, -54.33797094, 
##     -55.73678535, -55.51357153, -57.10771944, -56.71132844, -54.8, 
##     -56.45234752, -54.26352248, -54.1037392, -51.3873735, -47.82973166, 
##     -49.75309578, -51.70358974, -50.99480156, -48.47514452, -52.91974027, 
##     -45.28400812, -50.14316409, -47.35032979, -54.18396106, -48.63380557, 
##     -50.30767188, -52.8101764, -50.40325421, -49.87007361, -51.67581207, 
##     -50.47602051, -50.80968402, -50.60946051, -50.67653538, -50.67037558, 
##     -50.34157052, -48.71645207, -49.02769215, -50.912623, -51.04009687, 
##     -48.65320479, -49.91840208, -50.80848397, -50.07817778, -51.55843162, 
##     -52.3, -52.16689561, -44.86402195, -51.09837107, -52.3463402, 
##     -50.96598276, -48.3911103, -47.13642388, -53.26005481, -51.47867963, 
##     -47.09331994, -47.13728549, -56.21203774, -52.61708615, -47.89135985, 
##     -49.89957306, -50.96901446, -50.26401497, -49.51136749, -48.85799417, 
##     -48.63588385, -48.71346063, -48.13517833, -48.94506, -49.6, 
##     -50.07527752, -49.6840761, -50.4820681, -48.71346063, -50.01578927, 
##     -50.01689028, -50.37638256, -50.12115268, -49.43472031, -50.86511837, 
##     -46.97048955, -50.28405749, -49.27936381, -46.20361358, -45.44415696, 
##     -52.31031307, -47.75175181, -44.47340766, -37.71432088, -44.21890321, 
##     -44.33840871, -46.9999948, -47.30785584, -47.41033586, -49.15263895, 
##     -48.5081075, -46.43565235, -47.67363554, -36.12600388, -38.80601266, 
##     -41.47230423, -43.34194531, -43.29802587, -46.37021412, -45.69995641, 
##     -50.55833217, -57.76681043, -45.63467202, -34.61321555, -46.80987405, 
##     -51.49538033, -44.07645466, -55.25339571, -51.16260281, -52.72128256, 
##     -56.52415754, -57.30098025, -47.59183145, -39.95901605, -41.03964536, 
##     -45.53772499, -41.72402162, -43.19335618, -44.12277456, -45.25696626, 
##     -53.06264812, -44.40766803, -52.01887356, -48.29470738, -42.99838059, 
##     -59.93581613, -51.76709937, -51.48090855, -49.4451755, -49.91212647, 
##     -52.2489022, -49.63379422, -51.24734316, -51.10439645, -51.42577619, 
##     -54.16507441, -51.19233811, -49.22259357, -49.66453133, -44.95168147, 
##     -43.4, -47.1936721, -48.01952765, -46.86723099, -43.73002016, 
##     -45.56996666, -44.5423051, -41.74537904, -43.61286337, -43.83613483, 
##     -44.6669274, -44.15537842, -42.18245464, -41.91715814, -47.05862706, 
##     -51.30123716, -55.5681319, -50.99231295, -46.17819352, -54.27831185, 
##     -55.56149547, -46.1199618, -53.52015612, -52.84086889, -47.39562261, 
##     -53.5810934, -50.9, -51.8046358, -51.34986052, -51.54535236, 
##     -51.76126121, -52.17067892, -51.36366123, -51.43138159, -50.76114331, 
##     -49.75279881, -49.50399448, -48.60926124, -47.06385847, -46.01447996, 
##     -46.19850379, -46.85795878, -47.42522236, -45.58469992, -43.02769344, 
##     -43.03423378, -42.8, -42.40918171, -41.93950812, -42.38849405, 
##     -45.69096074, -44.80827933, -43.42854114, -47.7612025, -42.86687029, 
##     -44.03921654, -43.88267755, -56.11383947, -47.28394325, -52.85920863, 
##     -49.58246258, -54.09958576, -51.57066407, -52.07793621, -49.26038749, 
##     -48.84744536, -50.52607602, -51.33573021, -48.03112501, -48.76148441, 
##     -47.44787553, -46.5954347, -46.78791976, -46.71938489, -44.81791524, 
##     -46.17418747, -45.53398578, -36.31479532, -39.61108133, -42.10899839, 
##     -41.20191385, -39.75177153, -41.43010288, -43.47056242, -43.54633401, 
##     -48.67830409, -50.69714861, -50.05702157, -47.43241794, -43.02994548, 
##     -46.52717296, -54.04885519, -51.70488223, -45.71027725, -49.93325938, 
##     -49.45792756, -50.62260855, -50.3392465, -50.29452456, -50, 
##     -49.35362988, -49.01585979, -49.02337044, -48.87178991, -44.24234412, 
##     -46.41573279, -44.58346507, -39.83816193, -43.17167008, -39.39595179, 
##     -36.08113185, -37.83690143, -38.25608106, -34.84768928, -34.57300664, 
##     -35.28393792, -38.36292259, -42.032557, -46.06227957, -42.13727812, 
##     -35.26405878, -47.842776, -45.69013303, -46.5, -50.17851898, 
##     -47.32864788, -44.67924242, -44.30573302, -43.94452348, -46.78214391, 
##     -43.02647077, -43.22517729, -45.23967281, -46.5248351, -44.65658364, 
##     -47.23506487, -49.72396126, -48.31286711, -45.85159058, -49.74673121, 
##     -48.74634926, -45.89193569, -49.69213273, -45.5908963, -51.46601972, 
##     -52.65495339, -49.17934339, -52.74220636, -49.17934339, -51.24415243, 
##     -52.27044703, -49.34131193, -46.84292605, -45.63069702, -46.8, 
##     -47.85887725, -47.2626285, -48.35457428, -47.25598561, -47.35299807, 
##     -40.96366605, -36.6799028, -37.00166726, -41.14244689, -42.52058998, 
##     -41.03582764, -43.98399791, -47.31203476, -48.5853019, -42.49639017, 
##     -48.29015938, -47.54205885, -47.8102833, -52.1, -44.40218676, 
##     -51.5247681, -54.15716158, -50.68075849, -52.16440912, -56.61626159, 
##     -48.07892134, -49.90560013, -51.05266056, -52.19556214, -52.88657348, 
##     -51.43152885, -49.95057106, -46.58545001, -48.33032963, -45.04530264, 
##     -45.94424678, -49.88649313, -46.57708264, -35.3589407, -35.07786861, 
##     -38.50496012, -41.47312655, -42.75058764, -43.80722883, -43.74045984, 
##     -43.7897558, -42.3081272, -40.4, -45.00670477, -43.39413185, 
##     -50.48349798, -47.37740146, -47.60569001, -52.87993454, -45.35260312, 
##     -49.31653066, -55.49029376, -54.57643881, -55.6568432, -51.79503911, 
##     -52.37295587, -54.23754113, -51.26148176, -52.97867141, -52.5, 
##     -51.25401916, -51.23709153, -51.60816581, -51.73496741, -51.72088254, 
##     -50.63954156, -51.64975495, -52.18913781, -51.03965207, -52.07793621, 
##     -51.83948237, -52.03403249, -51.02534554, -51.15672656, -51.32670967, 
##     -52.91279197, -51.77788985, -52.54427022, -52.53359726, -52.81252621, 
##     -53.17091979, -53.43037465, -52.77796886, -53.18994378, -53.92805583, 
##     -51.29583889, -51.44837554, -51.50550023, -51.17462176, -50.35136655, 
##     -50.81659225, -50.86468901, -51.25553975, -50.84273873, -49.44421925, 
##     -50.4, -49.87043514, -50.60522181, -50.25617585, -49.532764, 
##     -50.73538856, -49.75562215, -50.58463962, -49.41798049, -50.34196278, 
##     -50.58196781, -49.9787589, -50.06125177, -49.7069141, -50.25957206, 
##     -50.15329985, -49.97708717, -50.5, -49.78267784, -51.21067207, 
##     -50.82186353, -50.2813709, -35.19852613, -31.23648987, -26.2326788, 
##     -25.98999397, -29.71266507, -30.7874417, -30.13458303, -30.42875637, 
##     -28.10097738, -29.68641615, -29.91135298, -30.22398711, -31.31117217, 
##     -30.01955495, -26.91904513, -23.52708761, -35.01952836, -29.62949127, 
##     -27.92686858, -28.83141998, -31.05449432, -29.86952611, -29.93006245, 
##     -31.05449432, -29.90277555, -35.65700267, -26.74287323, -24.62943508, 
##     -30.58413336, -30.29570552, -28.1818796, -34.23979459, -32.33276682, 
##     -29.11026536, -33.00394842, -29.52886338, -28.636489, -29.67076214, 
##     -26.86212408, -28.51863368, -29.57368968, -25.39731398, -27.6878682, 
##     -27.2562545, -27.33705792, -25.23267421, -25.1578886, -26.18508642, 
##     -29.66142707, -26.95287179, -26.95287179, -28.87660602, -26.68943461, 
##     -28.84662907, -25.72130363, -25.72130363, -29.45204263, -28.21157371, 
##     -27.17859641, -28.32831949, -33.2619641, -31.39051593, -30.4, 
##     -28.6539399, -28.9327469, -29.51152295, -33.41582849, -33.04092963, 
##     -29.16107908, -29.32990547, -30.58413336, -31.25283062, -29.77043981, 
##     -26.2326788, -27.28227473, -27.84985892, -30.10118313, -30.75675921, 
##     -31.72842532, -32.60535535, -32.98720109, -32.27727857, -31.39051593, 
##     -29.56257256, -29.72638796, -31.4015973, -32.26689639, -35.56785237, 
##     -33.21412863, -30.92161837, -29.34087956, -30.08548058, -31.84816444, 
##     -28.55421512, -28.10434393, -31.21001137, -27.90945024, -29.47333012, 
##     -29.68446734, -28.83222292, -28.55428931, -28.60514417, -28.40516023, 
##     -29.3711202, -29.85657763, -26.66752009, -27.6450871, -26.92776343, 
##     -26.82128089, -25.95679734, -27.35098429, -26.26883338, -26.04515944, 
##     -24.12736214, -23.55554706, -22.40117194, -23.05601318, -21.50082615, 
##     -19.09857991, -15.64378326, -11.30685859, -13.21656372, -14.98060356, 
##     -16.4143968, -16.4340842, -23.45824348, -23.57988047, -23, 
##     -23.15510561, -27.58857038, -26.59523913, -26.13358642, -24.99693591, 
##     -22.66455768, -23.32259857, -22.85998311, -24.3487623, -25.76582015, 
##     -22.58439164, -22.21901333, -21.96771101, -23.87781113, -22.49954264, 
##     -20.81935037, -20.22573084, -21.22883028, -19.06347231, -19.83912175, 
##     -16.98822956, -17.61202662, -17.66782176, -16.85474853, -14.58770426, 
##     -14.59065819, -17.2334137, -16.76386923, -17.5, -15.34761152, 
##     -18.81289521, -19.91898245, -19.89969854, -21.24961334, -22.57478688, 
##     -22.92797569, -22.26779329, -22.18580053, -24.32424343, -23.00479735, 
##     -24.85494352, -28.15742552, -27.98859624, -25.04906209, -27.27435563, 
##     -32.25175911, -28.50131658, -26.09456714, -21.3049988, -20.60398465, 
##     -18.58759447, -19.68834961, -19.54714893, -18.80467971, -18.09178657, 
##     -20.92709341, -20.5952714, -21.6051778, -21.46259588, -21.5335023, 
##     -22.28522306, -20.8843424, -23.92008317, -28.21742921, -22.74431979, 
##     -23.25466416, -28.17217051, -28.19993554, -24.23405589, -24.95614193, 
##     -26.61029903, -32.60885201, -21.91883312, -26.54919031, -28.63019994, 
##     -25.09582103, -24.2862648, -30.78870916, -32.96442929, -28.80981655, 
##     -30.3994839, -30.13806268, -29.3735628, -28.7952071, -31.25965518, 
##     -27.88669691, -28.75205008, -29.61872089, -29.3735628, -24.30935271, 
##     -25.11452045, -23.9436974, -25.46719352, -27.75939786, -26.72865133, 
##     -24.68246381, -22.98623459, -24.05110999, -24.99455592, -25.98009001, 
##     -26.13875911, -24.78083719, -24.14533685, -23.87873008, -24.81435495, 
##     -23.42364675, -21.3078196, -23.30143802, -18.88524321, -24.02394299, 
##     -21.88321566, -18.0194195, -20.6597452, -22.55196099, -22.82968811, 
##     -21.2, -22.91466084, -23.18877164, -23.72688833, -22.85655307, 
##     -23.77664225, -25.98009001, -26.40979608, -24.37086823, -25.74595751, 
##     -23.17797301, -24.63380033, -26.66257954, -24.77682018, -24.66177822, 
##     -27.26668522, -24.0835316, -25.53899447, -27.9, -30.85121453, 
##     -27.58063174, -28.50439737, -28.60069642, -28.84888412, -29.04219711, 
##     -30.30894523, -27.35915986, -27.9442062, -34.59571372, -26.77143492, 
##     -30.11481931, -24.10101568, -26.50037347, -27.52328091, -23.74616433, 
##     -21.42308643, -22.39646283, -22.85998311, -22.86469792, -21.1243913, 
##     -24.33393404, -23.98998847, -20.67151562, -22.18555725, -17.94922133, 
##     -19.56627363, -18.4623019, -17.49641268, -18.0645341, -18.67209719, 
##     -19.19057266, -21.12140478, -21.45634667, -21.53635975, -22.18580053, 
##     -22.51526131, -24.57111537, -20.1, -27.14441151, -23.66456132, 
##     -28.31486999, -34.44313312, -27.25278727, -29.01560711, -26.31506215, 
##     -26.59298375, -29.28086546, -31.77343956, -28.24069926, -28.84888412, 
##     -29.90522124, -28.70694352, -28.26757743, -29.94038228, -30.44806795, 
##     -29.23098683, -28.89739648, -30.5806989, -29.13224981, -26.60350476, 
##     -26.86212408, -30.2, -23.49277735, -23.73413767, -23.41204865, 
##     -21.17120733, -23.87163805, -21.67782371, -23.318607, -27.86284745, 
##     -27.37768794, -28.79901873, -28.19736914, -31.9171279, -30.3572594, 
##     -25.36193251, -25.57069685, -29.27956916, -25.80948359, -25.76293874, 
##     -27.38931173, -22.59952856, -23.95733007, -24.47927727, -23.4292104, 
##     -25.12750427, -23.98550305, -23.85556303, -24.23441962, -22.57446074, 
##     -19.87953773, -20.68983577, -21.79580684, -18.49121883, -15.23832406, 
##     -15.80397727, -14.19827736, -15.25210382, -17.87155975, -16.74890542, 
##     -17.36450116, -20.29439697, -21.15155759, -18.18213647, -27.44836083, 
##     -27.99498225, -27.06280616, -28.42611877, -29.65450759, -28.40118488, 
##     -26.84228461, -27.31425009, -30.13562696, -26.59705447, -30.01082422, 
##     -24.37573068, -22.7695452, -23.31010394, -22.82992687, -23.8860201, 
##     -23.65291319, -23.93861389, -23.47841217, -21.27422539, -22.45699647, 
##     -24.67873663, -22.47192737, -24.97983393, -25.51635472, -25.72230952, 
##     -23.79932433, -30.27459516, -30.47960843, -25.48236894, -27.20031986, 
##     -25.42080332, -27.29134787, -30.90935864, -30.21314632, -29.49314884, 
##     -27.42413011, -27.84128691, -26.91886794, -28.50131658, -27.88028347, 
##     -27.44836083, -27.44836083, -28.96543979, -27.40980564, -28.25848872, 
##     -27.12520075, -28.33902117, -28.25969696, -28.93187329, -28.05520634, 
##     -26.51679711, -30.00699533, -33.45337166, -28.60514417, -28.76771854, 
##     -28.68474801, -31.6381998, -26.32719579, -32.8811185, -32.82862253, 
##     -31.38445127, -33.20934596, -33.06048154, -33.71105153, -27.25278727, 
##     -29.88733923, -29.22166383, -26.74961503, -27.04861954, -26.77640357, 
##     -27.53363686, -27.3215481, -28.88601915, -31.23705448, -31.89179198, 
##     -35.20874124, -37.06334821, -26.52735759, -25.69039078, -24.37063992, 
##     -24.63111741, -24.22560023, -26.27650172, -26.15144906, -25.71870539, 
##     -25.06991335, -26.52028906, -29.6, -28.43864358, -28.72663723, 
##     -29.69158838, -25.56276214, -24.82854753, -26.03385989, -26.15542566, 
##     -25.54876704, -25.05906774, -25.33443001, -25.41716289, -25.49989284, 
##     -25.63029805, -25.2223275, -26.46403403, -27.5130452, -25.2223275, 
##     -25.10495082, -33.30086257, -27.60844703, -26.78434296, -32.73937977, 
##     -30.33575791, -24.20151739, -27.040802, -34.83475311, -28.84662907, 
##     -33.60821584, -31.35108598, -29.13584147, -28.07283612, -34.90969856, 
##     -32.14178664, -30.77061537, -29.30269967, -30.98259087, -30.63317277, 
##     -30.62711306, -29.43269657, -31.67602374, -34.65404001, -26.53264276, 
##     -28.45459952, -28.24982823, -26.45483884, -26.72222307, -28.71584381, 
##     -27.56746318, -29.14567945, -28.06979366, -27.32209911, -27.24966302, 
##     -29.28910842, -30.5768323, -31.06951925, -29.83088432, -28.6083437, 
##     -29.92321041, -26.78277045, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -44, -43.96087351, -43.96087351, -43.96087351, -43.96087351, 
##     -43.96087351, -129.8563746, -129.8563746, -149.5936479, -124.4417489, 
##     -15.7889095, 43.24077756, 70.56842695, 86.96040863, -54.63645817, 
##     -44.007402, -44.007402, -13.37315894, 23.8, -88.12217609, 
##     -61.07259644, -78.53981634, -22.39244524, -34.47932416, -43.78564991, 
##     -17.70131455, -55.06069413, -53.76832531, -32.12309836, -26.96977875, 
##     -26.52092593, -39.04633034, -55.03391826, -35.65091632, -24.06482163, 
##     -28.9410276, -33.11619606, -32.7079957, -45.37670408, -12.67742325, 
##     17.20668516, 78.53981634, -9.774557973, -68.30590915, -34.20058522, 
##     -36.91975, 63.88651442, 12.34044667, -26.81069273, -21.36205913, 
##     -20.80256477, 20.0344996, 20.0344996, 20.0344996, 20.0344996, 
##     20.0344996, -7.889285443, 0, -11.57282059, -23.1477364, -33.55544843, 
##     -33.55544843, -29.14567945, -31.66654847, 24.09931417, 24.09931417, 
##     24.09931417, 5.54132321, 36.20779022, 34.25361846, 37.22330731, 
##     45.22764459, 78.05624981, 2.162867977, 3.978049028, 5.117004439, 
##     7.779761823, 46.96260028, 38.40180985, 29.86158368, 33.76753074, 
##     37.5253427, 40.39333065, 27.36598154, 27.36598154, 27.36598154, 
##     27.36598154, 27.36598154, 27.36598154, 31.29012279, 31.29012279, 
##     36.86350209, 37.41167568, 37.41167568, 51.54547744, 51.54547744, 
##     15.81583863, 15.81583863, 15.81583863, 38.79571974, 38.79571974, 
##     38.79571974, 38.79571974, 38.79571974, 38.79571974, 38.79571974, 
##     38.51010006, 46.8150535, 0, 56.7387535, 50.82672462, 0, 3.7, 
##     16.48678638, 42.91596531, 82.07435792, 72.36108086, 64.76418313, 
##     47.94210856, 26.61355755, 26.44066214, 28.78688089, 20.9033299, 
##     33.96406612, 37.76325208, 37.95521316, 38.08900997, 36.88150735, 
##     26.81069273, 38.47131968, 48.38340698, 34.69277442, 16.09037358, 
##     26.99453448, 38.09328074, 38.09328074, 38.09328074, 38.09328074, 
##     26.79595081, 32.46540101, 29.24944232, 42.93781122, 23.1477364, 
##     43.60814938, 21.45405338, 21.5, 29.76707924, 46.05539917, 
##     16.92370867, 14.79814607, 52.65697294, 48.9074671, 70.5456015, 
##     19.07973769, 25.49518455, 52.24099951, 46.11981114, 41.16950992, 
##     26.15144906, 12.31702211, 23.42397264, 18.92722319, 28.01329068, 
##     25.90452353, 53.82271488, 49.11912305, 49.11912305, 49.11912305, 
##     49.11912305, 49.11912305, 49.11912305, 28.19993554, 25.34683871, 
##     37.61688106, 37.61688106, 37.61688106, 55.70386477, 31.64427998, 
##     34.4242434, 56.72545372, 92.43478821, 22.51557964, 18.73934092, 
##     33.98369095, 14.81618277, -38.81931779, 42.05343353, -38.05063771, 
##     -108.574654, -64.35011088, -95.53166181, -129.5153528, -129.5153528, 
##     -61.54797087, 6.055976348, 6.055976348, 6.055976348, 6.055976348, 
##     6.055976348, 6.055976348, 6.055976348, 6.055976348, 28.60221749, 
##     28.60221749, 28.60221749, 28.60221749, 28.60221749, 28.60221749, 
##     64.05223127, 64.05223127, 66.72813369, 78.53981634, 77.02443284, 
##     53.18080969, 53.18080969, 53.18080969, 53.18080969, 53.18080969, 
##     17.70131455, 34.74514012, 34.74514012, 34.74514012, 17.70131455, 
##     -8.748194753, 49.25408519, 89.2, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 0, 6.055976348, 
##     6.055976348, 6.1, 41.67998182, 35.11546122, 46.90131911, 
##     42.33279818, 23.78579943, 52.87254873, 52.51650313, 40.05701291, 
##     41.32934028, 39.47364943, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.53224862, 
##     41.53224862, 41.53224862, 41.53224862, 41.53224862, 41.5, 
##     21.45405338, 21.45405338, 39.65557123, 39.65557123, 62.91576319, 
##     12.31702211, 22.2012069, 30.33854175, -9.379605225, -13.98015493, 
##     20.50879525, 48.18592899, 24.17746801, 49.69324908, -11.13410143, 
##     0, 11.23908964, 39.08780458, 46.2, 25.25542758, 42.05343353, 
##     8.06697625, 11.04882324, 25.43096298, 33.32209734, 33.87509296, 
##     32.12885893, 27.96572429, 60.15444128, 28.97517014, 10.66681813, 
##     38.71923135, 51.04009687, 23.07059025, 7.167283548, 9.218798483, 
##     25.21774657, 24.09445469, 4.715792899, -13.8825168, 3.3, 
##     25.7285848, 8.476823406, 8.476823406, -14.60399368, -35.85088664, 
##     -35.85088664, -40.16472364, -101.2197011, -71.57784031, -62.90148024, 
##     21.99879774, 37.37921748, 29.56751395, -14.79814607, -41.32738085, 
##     -33.55544843, -33.55544843, -47.74677364, -49.01480833, -49.01480833, 
##     -49.01480833, -49.01480833, -49.3936181, -49.68589569, -48.91436779, 
##     -47.15844559, -47.79764646, -48.16657604, -48.69615957, -50.10385058, 
##     -49.89007304, -49.15755581, -49.76305961, -49.56184978, -50.08012362, 
##     -50.13527147, -50.03447077, -49.49565815, -49.62038564, -50.1202082, 
##     -49.87071843, -49.0982251, -49.52537165, -50.25261602, -50.3210784, 
##     -50.53848977, -49.8, -46.07548967, -46.16490717, -49.57451186, 
##     -51.5122543, -52.43697732, -50.37784005, -51.16001367, -52.9951286, 
##     -53.10222466, -52.68982811, -50.01856337, -50.4787524, -48.49707841, 
##     -48.14896242, -47.78220052, -48.95268696, -50.542456, -49.98179498, 
##     -41.41185113, -36.81423103, -41.5, -52.35314707, -51.08703666, 
##     -49.11778661, -49.97708717, -50.58463962, -51.44494952, -49.5276211, 
##     -47.77579594, -48.15438313, -49.287286, -49.32607591, -48.04837391, 
##     -48.27025523, -45.58132101, -46.38172995, -46.50606466, -43.36966706, 
##     -38.01848561, -35.33303711, -41.30272898, -43.68983734, -43.04530418, 
##     -44.41527633, -43.63914563, -45.75818444, -49.22123668, -41.72763604, 
##     -47.38822829, -47.90526801, -54.54661576, -53.70432895, -43.28871843, 
##     -54.98815161, -46.62923958, -47.86832082, -49.11806355, -48.72844951, 
##     -50.18645754, -51.06896598, -51.30968681, -49.63384757, -48.95277977, 
##     -50.43797961, -48.70462432, -47.71210603, -47.62001889, -47.02938737, 
##     27.9736829, 41.03969567, 44.41200357, 45.12191815, 34.3221647, 
##     38.21818805, 38.90309161, 38.98174496, 38.29148622, 49.33786228, 
##     55.15351182, 57.19646364, 57.81758037, 64.7497933, -2.436368712, 
##     -8.815924263, -20.95937879, 11.54867809, -39.8, 66.63426117, 
##     39.68271252, -94.12426501, 4.063340372, -23.75379263, -21.53974649, 
##     -21.92522451, -42.49484362, -44.4275573, -33.33083375, -25.76118142, 
##     -24.85862532, -45.20961266, -7.338941909, 34.46514971, 28.61034937, 
##     30.64549803, 23.79411248, 34.08150983, 30.75268933, 33.6692666, 
##     44.98106633, 33.93529624, 16.69173519, 22.72658395, 26.1923715, 
##     47.10206151, 47.10206151, 47.72661831, 47.72661831, 47.72661831, 
##     47.72661831, 47.72661831, 47.72661831, 47.72661831, 47.72661831, 
##     47.72661831, 47.72661831, 29.58324161, 29.58324161, 29.58324161, 
##     29.58324161, 29.58324161, 29.58324161, 29.58324161, 29.58324161, 
##     29.58324161, -6.869383546, -39.46178798, -94.09567928, -100.6073165, 
##     -108.0319931, -48.36239426, 25.59709495, 29.00903244, 94.30354482, 
##     41.45068746, -57.9, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, 34.2221123, 33.73141769, 36.63672982, 
##     37.13718176, 37.13718176, 36.43881502, 34.49706688, 34.49706688, 
##     36.66684119, 36.66684119, 36.66684119, 41.51406368, 41.51406368, 
##     44.67579238, 47.1, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, -43.75878888, -43.75878888, 
##     -43.75878888, -43.75878888, -43.75878888, 19.73571096, 16.88463734, 
##     20.72175762, 22.38609049, 21.63039576, 18.1467936, 19.60818701, 
##     16.18622745, 14.54619597, 16.76501958, 17.64339259, 16.14579284, 
##     13.44946372, 9.467469962, 10.56997885, 10.28983257, 26.72906589, 
##     15.77286796, 18.50103026, 19.71256817, 20.51344049, 16.09753973, 
##     10.25688397, 18.55387377, 16.03030484, 7.8, 20.84407928, 
##     25.91697004, 29.77116947, 13.16688705, 3.678767112, 15.64125575, 
##     16.29414786, 17.01304685, 14.00903619, 10.54893085, 20.90891456, 
##     10.69926326, 14.70154921, 14.02438625, 18.50780082, 12.44027016, 
##     27.01574001, 32.48380989, 36.86959027, 34.61759991, 30.37843391, 
##     21.13819138, 18.04671767, 26.81866267, 30.35500373, 27.47379317, 
##     27.81313483, 25.60819401, 28.40114885, 33.50360948, 31.85081037, 
##     29.22773361, 33.59249236, 27.0549763, 25.49482482, 31.79857956, 
##     33.9, 27.94642241, 18.66443146, 29.25417256, 35.74866946, 
##     27.28012248, 29.58923525, 27.39736072, 32.76679349, 28.91173987, 
##     24.49658986, 31.77341485, 27.65453337, 23.27661092, 28.94417641, 
##     29.92463156, 20.4999976, 18.49951862, 25.15670036, 31.82608538, 
##     34.41004113, 32.16812047, 28.37941092, 27.14235867, 24, 32.49662192, 
##     21.52558382, 26.13394114, 5.247435631, 29.59390496, 31.66654847, 
##     5.989082455, 12.43016101, 16.05611392, 2.499479362, 36.25442373, 
##     30.77547325, 2.550168671, 11.8435929, 51.04009687, -12.22464035, 
##     -42.28348346, -8.641387748, -4.934638688, -8.952252181, -3.950790229, 
##     9.845361405, 3.911306632, 2.716963384, 8.458272564, 9.602793253, 
##     9.188480239, -6.08956914, 18.04014485, 17, -8.96423389, 26.74347114, 
##     13.22613671, 25.05639014, 32.17505544, 40.10638262, 50.72522487, 
##     46.09040993, 34.74048268, 18.81694273, 24.23737626, 16.76686064, 
##     12.74014301, 10.6852058, 14.51398482, 22.16330202, 12.95938217, 
##     26.94447471, 21.55265293, 22.98108584, 17.64610559, 14.74551913, 
##     20.30452173, 36.7, 6.875243852, 11.07929719, 11.42683324, 
##     14.41312778, 14.1266364, 12.54066481, 9.336071773, 9.645819033, 
##     9.522036503, 11.88240883, 11.42683324, 11.79611664, 11.65110628, 
##     9.218798483, 11.42683324, 9.265672399, 9.450015928, 14.41312778, 
##     12.18917078, 9.374452014, 11.28911128, 11.59146517, 8.920534355, 
##     6.834090308, 2.537820442, 0, 2.086202641, -4.15705538, 7.143242994, 
##     31.71786971, 0, -28.16941913, -20.45002864, -1.803437026, 
##     61.77343428, 31.7718744, 17.75160366, 31.7663193, 56.58338506, 
##     59.87174747, 62.4, -52.2322181, -52.37527449, -52.70217052, 
##     -16.71618796, -19.76036282, -19.98421972, -22.74566615, -30.36650943, 
##     -41.21899381, -37.53067662, -25.28484512, -16.57182935, -7.354362245, 
##     -6.876423244, -4.443537579, 1.917596083, 6.006325012, 8.434374594, 
##     9.408638303, 19.41228258, 23.42754427, 25.88766255, 24.75836336, 
##     27.1747735, 29.73788108, 30.4795053, 32.60336183, 32.4193649, 
##     25.87225762, 26.93202281, 28.29529347, 28.30957853, 28.57815963, 
##     26.603483, 26.4813621, 15.73418025, 13.13108433, 10.00014677, 
##     2.48339609, -4.597585601, -8.757127493, -17.27998344, -22.28755514, 
##     -6.523188288, -17.04937838, -19.01088253, -15.39173196, -29.72989042, 
##     -27.79683355, -21.81868014, -26.34394178, -33.1, -31.57926285, 
##     -36.63294801, -32.16591439, -27.75377369, -27.63036107, -21.92720328, 
##     -21.15813739, -23.28681783, -25.90615834, -24.80250664, -24.29695139, 
##     -21.24298213, -18.02187447, -23.1688237, -24.3509584, -33.22907127, 
##     -46.42209963, -40.53996392, -41.82107743, -38.67472312, -35.7, 
##     -29.50902819, -7.187960467, -5.411286536, 2.235159216, 17.18837004, 
##     24.30647899, 26.57719881, 26.21573942, 34.89045797, 36.74788014, 
##     31.56972053, 32.92309187, 32.68826215, 27.96003211, 24.43493629, 
##     24.4645876, 24.77649028, 22.63714787, 18.42839993, 16.58411976, 
##     12.90844124, 3.616102771, -3.658275885, -9.661124839, -14.76005859, 
##     -21.83649838, -22.36439728, -22.81449888, -22.76513145, -23.34747729, 
##     -25.16726838, -23.23018273, -28.35605599, -34.5740394, -37.47002118, 
##     -35.12384433, -33.91385383, -33.61461037, -37.40925847, -43.25903354, 
##     -42.29662725, -37.43379909, -34.52500197, -32.55658653, -33.7, 
##     -34.42014666, -28.81643812, -21.23968123, -25.95848717, -28.22384833, 
##     -25.3694255, -22.01968874, -19.32251539, -19.66592858, -21.11275382, 
##     -16.9842664, -44.42344307, -43.21110033, -30.86097976, -19.40354715, 
##     -24.65585472, -23.54223931, -27.32449422, -26.08447767, -30.63104087, 
##     -8.356573969, -6.75628166, -4.430522595, 0.441439083, -7.81328966, 
##     5.495115482, 2.925143996, -4.690758564, -20.60743445, -20.15615561, 
##     -4.837688135, -9.211842143, -14.22258206, -11.93804572, -20.4763913, 
##     -28, -11.7, 11.23908964, 6.642115954, 4.785475041, 0, 0, 
##     -4.801998898, -6.055976348, -8.314123189, -19.73955598, 5.495115482, 
##     6.135241634, 10.53670144, 6.777610902, 7.420965517, 1.825234926, 
##     2.26371583, 24.77092079, 34.55352916, 35.89067075, 45.65524656, 
##     45.19777561, 47.98643892, 50.65058093, 53.31354809, 53.64925125, 
##     56.71661656, 58.55901677, 64.79408905, 94.64890324, 88.3377548, 
##     81.12546166, 74.13796491, 74.48093098, 71.22672987, 68.86448612, 
##     65.83199794, 63.82526314, 58.11197848, 51.31567896, 44.69393984, 
##     42.27096765, 37.22730518, 32.46385338, 14.94582769, 2.369783602, 
##     3.521864476, 47.74667331, 6.027034238, -27.39304146, -16.87084526, 
##     3.604530339, 0, 14.0545194, 20.50879525, 6.552393698, -23.07059025, 
##     -3.414607217, -26.67615945, -20.33019887, -6.438602175, -28.01847089, 
##     0, 0, 0, -3.428627565, -16.61429457, -17.92105002, -36.70392901, 
##     -39.44832955, -22.61533865, 3.92031311, 30.62773692, 10.90193686, 
##     14.1708529, 20.4357954, 15.46152006, 13.06331435, 5.362516382, 
##     10.12656375, 5.474490654, 9.357813769, 13.2666837, 27.00015858, 
##     31.63704574, 32.32138195, 42.83841587, 45.15077573, 46.22894301, 
##     45.20500753, 50.28462098, 69.98654943, 87.92611834, 97.28100778, 
##     91.32259838, 78.69589146, 68.31735051, 57.02179048, 52.59216786, 
##     46.8998967, 45.53347737, 25.77883521, 24.17310616, 27.95864929, 
##     17.57468271, 13.9280324, 19.04840218, 24.99120676, 15.85494226, 
##     20.95362581, 24.65715173, 18.88329962, 3.8, -1.483041974, 
##     1.693780289, 0, 4.499592858, 22.67988481, 93.02740141, 18.59701734, 
##     -25.49518455, -54.20142179, 15.39823672, 7.883154636, 7.256360693, 
##     17.75984538, 0, -8.810447923, 3.61393348, 6.014454673, 7.789918438, 
##     0, -10.13540221, -11.71087446, -15.58603777, 8.394290963, 
##     -2.883549247, -0.976334096, -6.999923509, 1.4, 3.773970325, 
##     20.47437312, 29.65454014, 32.59583823, 34.95567771, 40.78017974, 
##     51.90802487, 62.80648472, 94.98627396, 91.81267288, 86.12923046, 
##     82.19557354, 76.71643413, 73.8108469, 70.66643987, 68.53272159, 
##     70.09789535, 60.42488988, 58.88006044, 51.32736586, 41.97381716, 
##     36.63193949, 39.0620308, 32.0308556, 20.72695571, 21.95979085, 
##     25.15679063, 23.50854559, 7.8877514, 10.75614048, 10.94233782, 
##     22.5440286, 44.73813316, 54.1313892, 69.15982684, 77.9109672, 
##     87.28338686, 81.44026559, 80.9948272, 78.32500577, 77.72677238, 
##     68.18993753, 60.75252451, 56.75760156, 44.55754871, 35.3158994, 
##     17.90966053, 7.146690717, 29.80193216, 8.103681429, 22.69178474, 
##     -134.7319726, -92.09283282, -9.716707739, 11.99475317, 19.55382783, 
##     17.06343722, 21.99879774, 0, -64.32013224, -86.25855148, 
##     -110.0612429, -91.1458269, -15.9313931, 3.193296965, 8.868834121, 
##     10.7, 6.241384751, 25.19261743, 27.58580483, 26.89357568, 
##     37.16676712, 38.5181788, 42.7457445, 50.6150423, 55.48295366, 
##     66.37992903, 73.82535924, 79.59714684, 87.85033274, 90.62384095, 
##     88.54618075, 84.10213395, 72.70164357, 70.20411583, 55.59895552, 
##     41.68531857, 36.78358863, 25.20723227, 15.10231533, 16.52138638, 
##     13.33965166, 13.5612082, 27.76164701, 40.94663488, 29.41072172, 
##     0, -124.9045772, -128.0622467, 0, 7.414198223, 21.05302812, 
##     4.424100871, 5.925801918, 0, 0, 0, -8.331739686, 1.541077819, 
##     0, 0, 0, 5.574707892, 0, -1.944161951, -1.944161951, -3.92031311, 
##     -7.455869159, -17.5, 33.16844408, 31.7836089, 29.39224762, 
##     28.63910709, 20.92477272, 19.9498683, 27.0415867, 30.210108, 
##     39.30187236, 48.36472765, 45.16334411, 29.97760701, 13.67454111, 
##     21.3280168, -14.1266364, -54.71623736, -100.3345852, -83.72150032, 
##     5.885750595, 14.88899476, -46.3647609, -123.2906716, -46.16605154, 
##     -2.925194055, 8.080132588, -9.92688434, -2.87400631, 0, 3.6, 
##     0, -4.07682495, 0, 0, -3.286795657, 26.81069273, 28.19273684, 
##     24.15785826, 0, 5.046474418, 22.84899322, 13.35143548, 20.53138743, 
##     25.62860884, 12.15221315, 23.74689514, 36.92960583, 36.39967198, 
##     38.2652864, 40.34260657, 42.18222337, 44.46166142, 47.35162845, 
##     39.26885156, 35.29328746, 34.49903998, 36.22521227, 34.65681426, 
##     35.78821492, 30.27126324, 32.31297512, 37.05161581, 33.47984062, 
##     32.86864583, 33.77640227, 12.74589108, 48.204795, 8.257241048, 
##     0, 3.396831253, -64.52954308, -14.70894042, -9.267956209, 
##     -39.97513465, -12.89107717, 0, -11.28911128, -2.523236698, 
##     -15.52851036, -16.09037358, 7.338941909, 23.17341001, 24.75934828, 
##     22.72458231, 24.18689767, 37.06448875, 37.66484054, 35.89916044, 
##     39.76579932, 34.72670789, 19.68741493, 19.48905208, 18.56853728, 
##     19.53952078, 28.15848031, 32.73563741, 37.75504007, 39.67228366, 
##     43.49521209, 43.32790332, 40.2, 25.64651848, 31.39625139, 
##     31.24106738, 33.98135426, 31.20991437, 25.12718643, 30.3722407, 
##     31.84043059, 32.10591728, 23.6833695, 35.39220539, 25.12957507, 
##     37.63681189, 39.68343107, 37.01244005, 31.76231033, 25.16899718, 
##     18.99882879, -13.14021734, 11.37920071, -53.30464158, -36.50312336, 
##     0, 17.34816123, -8.306948578, -25.36740961, 3.086557061, 
##     -8.5, -14.49279835, -10.52757413, -25.15670036, -25.49518455, 
##     -10.71433287, 10.43048693, 18.47757291, -4.16425791, 10.98383378, 
##     18.86011707, 20.97666621, 30.5979383, 29.96658787, 31.64670699, 
##     37.3980589, 29.80012196, 27.80327296, 34.48164935, 28.23231451, 
##     26.77795625, 30.30827582, 28.62771026, 32.72834538, 34.98421696, 
##     37.9, 47.36580493, 40.38844766, 38.81304458, 40.81639573, 
##     40.74340651, 39.63625302, 44.24918272, 43.8458297, 40.11574894, 
##     40.09867256, 35.37031461, 38.61514695, 41.23997727, 43.12253425, 
##     43.31924204, 36.96410636, 35.95746967, 34.6953057, 40.99257762, 
##     41.36901181, 36.71429675, 22.48057524, 33.01409389, 41.7260392, 
##     11.50454215, 0, 3.007377204, 13.51747047, 6.69399876, 10.43837639, 
##     -23.83162939, -27.81313483, -35.66623964, -17.61527668, -3.947710489, 
##     7.256360693, 4.710557971, 0, -8.665688085, -9.484487781, 
##     0, 0, 4.752932688, 5.251051646, -12.41153047, 0, 5.474490654, 
##     -10.14478585, 0, -10.47330393, 0, 0, -8.983303711, -4.149890094, 
##     -13.5527714, -13.59445286, -5.014648505, -23.79411248, -29.53165905, 
##     -30.12151924, -34.90150202, -24.35211898, -16.19885075, -10.11878428, 
##     -26.93688999, -6.238843335, -8.578449739, -14.80715618, -16.24033701, 
##     -6.81532707, -9.399472822, -5.939723187, 0, 1.765377959, 
##     12.01087356, 10.60407695, 10.26680818, 13.17854965, 14, 15.90123129, 
##     14.75780318, 14.94783812, 17.06825834, 6.611198177, 6.380094677, 
##     0, 8.058589844, 3.232259591, 3.376920657, 1.65370224, 0, 
##     0, 0, 1.784387116, 1.782968421, 5.216800929, 15.15364028, 
##     16.2520104, 14.13967972, 17.44431538, 22.95056148, 23.93879405, 
##     14.5413255, 19.98356028, 26.53421556, 19.52148171, 21.28502212, 
##     12.96486943, 7.191707955, -3.09987507, -1.756098402, 1.681523482, 
##     8.008814839, 11.29969653, 1.651670895, 0, 4.951412965, 4.594162532, 
##     3.196739679, 11.69382204, 9.400047012, 0, 35.14194381, 19.18675615, 
##     16.75858066, 19.03700307, 15.36088465, 17.90331097, 15.9813251, 
##     18.40546187, 18.4302404, 19.43867344, 21.5994771, 15.53233114, 
##     15.07963648, 12.69608465, 12.05992995, 17.2247967, 14.6081485, 
##     16.47978839, 19.42777664, 14.22996361, 22.20518715, 7.399771995, 
##     -1.475275044, -6.984535646, 2.713710084, 9.106558709, 8.803366191, 
##     11.11709985, 15.89746039, 17.82373001, 13.8543154, 4.264221552, 
##     7.096716352, 1.889260177, 3.72489452, 12.9, 0, 11.40229373, 
##     41.04167259, 35.80220284, 16.71044709, 0.918992406, 11.34456928, 
##     10.01383625, 18.91525966, 17.24126295, 12.58258372, 16.31890444, 
##     15.68986042, 13.28196998, 21.97902454, 23.49055021, 22.56979454, 
##     16.81099755, 11.6439735, 12.32712404, 12.92619612, 17.88327923, 
##     14.34917966, 13.66102548, 16.26045354, 15.94843936, 21.10293646, 
##     18.65092745, 21.72194378, 25.76148438, 32.12309836, 16.02817238, 
##     -9.858534152, 6.382530815, 20.08495425, 12.71348061, 10.51483564, 
##     12.97305976, 11.55620389, -1.758200716, 7.308876906, 4.909123343, 
##     5.470884662, -1.013328482, 18.98512696, 19.7, 27.96006164, 
##     4.526478761, 0.932802271, 35.84147575, 18.20106691, 13.04283396, 
##     24.19663764, 32.98325038, 36.25788623, 33.785945, 17.0999745, 
##     15.157012, 10.24260874, 4.679305433, 3.974905152, 35.34499295, 
##     23.92144834, 34.53641429, 50.04699992, 44.459572, 43.82207607, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.2, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.2, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.2, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     27.18691566, 27.18691566, 27.18691566, 27.18691566, 27.18691566, 
##     0, -33.52921849, -41.12745964, -41.12745964, -41.12745964, 
##     -41.12745964, -41.12745964, -41.12745964, -49.58405144, -61.81698773, 
##     -49.01436514, -49.01436514, -42.95766335, -55.35725169, -55.35725169, 
##     -55.35725169, -58.72916607, -45.66804843, -53.22804385, -60.76664022, 
##     -46.35443379, -51.3547321, -86.65143205, -69.19420955, -54.63627429, 
##     -60.20279054, -60.39393338, -61.90464874, -65.11854614, -59.2223038, 
##     -59.3004862, -56.2047752, -55.22494707, -57.22006824, -61.01294091, 
##     -61.50346375, -61.25688732, -56.86894842, -54.76082503, -56.9, 
##     -81.954934, -11.90211897, -25.05639014, -80.70655942, -104.4214316, 
##     -60.96716945, -63.75852515, -50.64446434, -31.45897426, 14.79814607, 
##     22.7695452, -17.43768582, 40.32596974, 49.03563883, 60.82771601, 
##     66.057626, 72.99486061, 29.35141089, 34.22187724, 45.04970887, 
##     40.08620265, 58.92729843, 58.86429111, 45.47292167, 39.08780458, 
##     35.8744464, 41.92302488, 30.22757439, 18.88030746, 7.604699492, 
##     4.104201821, 0, 0, -6.181957436, -6.316142761, -19.91274947, 
##     -34.46514971, -49.25408519, -24.41657354, -37.43162534, -31.87323782, 
##     -36.65527956, -40.76915718, -45.44888073, -49.56960305, -47.05494099, 
##     -46.35676298, -56.98161787, -69.75447634, -69.13110113, -52.57612718, 
##     -77.65875349, -52.83861216, -45.3436544, -71.681289, -71.7944301, 
##     -58.63967139, -56.8515796, -62.5510387, -57.94693337, -61.53774332, 
##     -68.34166278, -54.50919838, -51.26122698, -61.23563395, -62.47673214, 
##     -66.47375409, -67.40164778, -72.78564652, -71.42762424, -73.5767152, 
##     -68.62554174, -42.92495135, -62.54850402, -60.49302289, -55.15200412, 
##     -65.64190396, -49.9672752, -21.82433544, -65.20134293, -4.752932688, 
##     -16.77095405, -38.36091291, 13.05595099, 73.03419186, 29.76707924, 
##     5.610664765, 52.32783221, 57.63752206, 37.43162534, 15.00025405, 
##     23.77542037, 23.92831831, 33.29619107, 38.78379088, 54.04195003, 
##     79.25251864, 60.52955122, 38.99993486, 38.43593798, 53.32563138, 
##     50.90836756, -21.86689459, -85.53940073, -86.2, -72.66423407, 
##     -42.28348346, -35.31277524, -53.49885001, -72.06820346, -53.3815683, 
##     -44.77492511, -36.56882548, -47.15248052, -37.12256309, -57.00336058, 
##     -55.97632641, -52.08117096, -53.73076826, -51.55618759, -41.97279049, 
##     -51.83914983, -53.6071252, -50.65474383, -55.76749667, -54.73606012, 
##     -47.24541977, -48.73204417, -47.84501288, -46.41725559, -48.37086936, 
##     -45.8120311, -47.1032716, -48.55481796, -56.59668333, -50.48344189, 
##     -47.81544557, -56.89503185, -55.64885963, -63.15829044, -72.0418501, 
##     -54.16368728, -54.16368728, -54.16368728, -54.16368728, -54.16368728, 
##     -54.16368728, -54.16368728, -74.88052587, -40.82164699, -67.1988027, 
##     -103.9, -80.03790067, -56.11404262, 4.898980427, 3.872983637, 
##     -3.494994267, -6.728001134, 30.43003069, 13.77962246, 26.15144906, 
##     24.17746801, 0, -26.39228481, 14.04031266, 24.36391929, 0, 
##     -19.51275679, -2.820914748, 10.10263447, 20.09426294, 40.7, 
##     46.25404941, 24.45711856, -2.954410733, -23.90264439, -37.87938928, 
##     -21.5508653, -23.20668457, -12.87144812, -49.35727307, -58.22397984, 
##     -71.66664086, -58.22272915, -51.16671398, -38.77733857, -28.16941913, 
##     -32.52584211, -73.23795799, -57.89185589, -58.03584159, -57.03212687, 
##     -40.24187931, -48.39683307, -49.62870449, -48.01847828, -54.00996589, 
##     -58.04661735, -59.90208312, -55.77420435, -53.00518614, -49.08069416, 
##     -49.60182557, -52.67102464, -61.79831037, -70.87788937, -31.73822654, 
##     -32.89899682, -36.32858104, -45.82679348, -37.13285824, -37.87107642, 
##     -28.44262161, -33.28306719, -33.95644344, -9.602793253, -38.36091291, 
##     -30.5401107, 66.5196055, -49.69324908, -52.21321757, -40.50396507, 
##     -83.93489455, 41.32738085, 55.77721332, 71.40906986, 90.1327694, 
##     87.60580506, 36.4, 2.498698966, 10.81691962, 28.9873469, 
##     49.39413689, 17.3499745, 6.526178128, 0, 11.96376739, 28.03036915, 
##     35.56358843, 35.12653692, 21.94467196, 10.51503748, 11.31477624, 
##     -9.379605225, -33.47428227, -80.70655942, -75.4862754, -41.5952087, 
##     -65.50938311, -88.43872344, 0, -15.66232185, -58.32115453, 
##     -55.17768389, -53.91981991, -49.12891814, -36.62884226, -51.36655599, 
##     -49.4592592, -52.29987677, -34.62663735, -55.26722473, -57.41116807, 
##     -54.29433164, -54.09171488, -60.39426815, -64.00521951, -46.02432639, 
##     -41.74831827, -46.86586139, -48.68098289, -50.08791818, -53.72415195, 
##     -53.37559182, -43.85356518, -25.25542758, -25.83081541, -39.0454853, 
##     -52.650981, -44.5495507, -32.25424257, -18.10582255, -25.5804734, 
##     -38.68786764, -107.3863836, -148.5004814, -137.3400767, 95.53166181, 
##     86.37531592, 17.36450116, -12.92203518, -32.16129018, 6.214700623, 
##     16.78809533, 54.04195003, 51.56827972, 46.05539917, 46.48922955, 
##     20.06674669, 15.49223199, 0, -17.15561283, -11.095957, -14.04897018, 
##     -25.17884763, -54.1099526, -37.59084069, -97.83217097, -26.00948884, 
##     -12.22464035, -33.04226479, -35.13194861, -22.95630411, -32.32584958, 
##     -46.35443379, -27.8060729, -63.49769765, -85.03892977, -78.50859886, 
##     -37.41167568, -42.11059276, -47.15346428, -54.70051967, -56.10836768, 
##     -52.73646648, -46.5, -26.81069273, 49.25408519, -61.54797087, 
##     -24.31608692, 16.79722304, 35.5602583, 32.17505544, -8.28553568, 
##     -24.31608692, 25.57615018, 30.23610732, 26.06023917, 11.9127234, 
##     30.40449634, 31.34084122, 22.5160201, 28.84089792, 34.37103375, 
##     31.14358257, 27.03951245, 27.24263737, 20.267717, 24.2089432, 
##     31.58959616, 7.059317928, 73, -6.135241634, -28.60221749, 
##     12.34044667, 54.04195003, 55.06069413, -10.43837639, -18.31756638, 
##     -21.36356387, -37.19751182, -52.57260891, -49.04814628, -50.3343786, 
##     -63.22793948, -39.37661518, -51.8563985, -61.09420509, -53.93110611, 
##     -52.21321757, -55.67041098, -50.14401455, -48.71199861, -58.39859992, 
##     -50.07451756, -49.40847329, -47.60977065, -51.74895285, -49.39460278, 
##     -59.8243106, -65.05762809, -58.56575551, -58.26900035, -53.20655806, 
##     -24.06482163, -75.90702093, -57.9967348, -27.72603513, -56.41435293, 
##     -107.2583816, 28.35352049, -50.9468266, -21.70885726, -11.28272229, 
##     0, 37.92459665, 48.5462915, 37.34657435, 34.22009936, 28.97768474, 
##     11.88240883, 2.28118746, 31.6225069, 29.06952655, 3.832946785, 
##     -15.58603777, -35.34405427, -18.82298418, -33.98369095, 5.417953886, 
##     -19.27925147, -13.87045534, -12.58228904, -37.23953695, -61.47535397, 
##     -41.94360681, -38.6, -46.76943011, -60.13776367, -70.03797278, 
##     -54.00410521, -53.5167609, -71.74594703, -65.82401141, -52.50481935, 
##     -50.51116437, -56.04036888, -58.66676087, -61.18514887, -56.65764916, 
##     -51.64502833, -51.99391499, -54.08376713, -50.12389656, -43.44786453, 
##     -51.83406506, -57.85143522, -59.21491733, -56.77766646, -51.70319525, 
##     -48.05448751, -36.75723656, -48.16892325, -23.59051868, -27.56427992, 
##     -87.083354, 72.3597087, 90.18322525, 83.24762404, 78.41258974, 
##     73.0743936, 121.2025657, 126.4518958, 26.85599172, 25.02938901, 
##     36.24216305, 71.19419713, 80.36034705, 59.06368552, 55.08643611, 
##     33.4443946, 16.95286839, 12.86058176, 15.66953105, 35.1444794, 
##     48.2513295, 41.76527692, 24.1, 21.73733646, 34.89185573, 
##     114.6484771, 95.53166181, 50.82672462, 75.90702093, 23.71034331, 
##     7.982998571, -5.71973772, -7.167283548, -10.26432443, -4.975700165, 
##     -13.80878714, -32.14255272, -40.66372287, -41.6675159, -65.84984369, 
##     -62.57372668, -49.81310146, -37.79382712, -66.31213007, -97.79277536, 
##     -118.5429977, -72.16108934, -43.6, -64.10536767, -78.25927969, 
##     -39.29012185, -55.93879106, -64.57654484, -66.38423747, -51.8497105, 
##     -45.35976961, -49.99440604, -57.3451011, -54.89546512, -56.6261888, 
##     -59.74502591, -58.27809378, -51.81479007, -57.51968948, -51.65741554, 
##     -40.94834825, -37.33111724, -38.77038408, -61.75526913, -59.77195369, 
##     -56.62708018, -58.62464994, -58.3108751, -55.75187757, -53.2509617, 
##     -52.47573396, -47.63972863, -52.75269635, -55.91267544, -49.67816343, 
##     -40.32814817, -30.19540403, -32.01572481, -47.78073148, -58.56420094, 
##     -35.39044841, -27.36035855, -19.60038711, -47.24090754, -68.10146346, 
##     -84.79233557, -100.5767331, -97.86413646, -61.9, -73.32444104, 
##     -77.66557137, -78.05624981, -71.4813307, -61.63655304, -60.65290399, 
##     -58.94916776, -56.60310561, -56.3794195, -58.01518746, -67.8415064, 
##     -60.61393857, -60.8317447, -60.64625018, -57.63285996, -55.88144144, 
##     -59.93877981, -57.6311767, -54.57642044, -54.85950506, -56.81174886, 
##     8.522879853, 6.351432768, 8.731504888, 12.17420696, 12.25776016, 
##     13.97318969, 13.05595099, 12.00854036, 9.336071773, 11.40303503, 
##     9.285623825, -14.07503913, -13.87880223, 4.551729119, 8.798844502, 
##     14.03167113, 14.04897018, 13.15600202, 23.1477364, 21.9, 
##     18.85642126, 31.48295778, 25.46017981, 13.36057569, 13.05200213, 
##     13.17746297, 1.21620067, 11.44942584, 55.05497202, 53.95673655, 
##     48.93990895, 48.74167681, 46.4004121, 46.51612556, 45.8087489, 
##     42.8307447, 42.39504455, 40.81626816, 34.42181218, 36.0611244, 
##     34.94500969, 29.92300252, 30.12308875, 32.80679041, 33.31848719, 
##     32.16655541, 32.3106691, 28.5379409, 16.05119846, 7.919465554, 
##     15.98158748, 7.888303553, 7.419298003, 24.5204064, 26.40967003, 
##     22.90651648, 21.58463755, 21.9276449, 23.23855313, 26.79037124, 
##     32.43933926, 37.42322524, 46.82298782, 52.00503267, 57.68955843, 
##     56.33994853, 53.61987646, 55.3, 47.30392171, 45.13741031, 
##     44.62589649, 37.33535053, 36.05712908, 32.82684117, 35.48939947, 
##     34.50871605, 35.95938114, 31.65880152, 29.01070774, 23.35142344, 
##     13.52204102, 23.35996131, 30.64404699, 16.09753973, 23.30190783, 
##     18.63959833, 21.666264, 26.49692507, 38.35428388, 35.77138961, 
##     34.51640057, 27.17909232, 24.89629893, 27.58357538, 24.29827902, 
##     32.36185653, 20.75243186, 12.89049655, 13.58051633, 27.80089208, 
##     33.31173542, 32.17276945, 22.87955293, 20.71021233, 22.5301597, 
##     27.30897935, 34.02383006, 38.63400157, 38.81814013, 45.21540096, 
##     46.15237974, 49.76067361, 53.9, 52.7395679, 51.3372749, 48.69721272, 
##     49.30191486, 51.66999321, 57.52655448, 52.05836257, 47.01087175, 
##     43.7352841, 42.80498679, 41.73791073, 41.86365954, 38.82049084, 
##     37.07650354, 36.83781686, 38.02864937, 36.37945114, 36.4462712, 
##     29.25355914, 28.46275552, 23.8721058, 26.6118703, 25.88684456, 
##     26.79813326, 14.04210009, 13.44815596, 24.13927044, 28.54387207, 
##     24.15568234, 23.18430933, 25.20123831, 22.09639237, 24.18493549, 
##     29.4181395, 22.16446543, 36.70428262, 41.35434566, 42.66240728, 
##     43.83609897, 46.33433523, 47.93708589, 49.77045022, 54.08795775, 
##     58.30943171, 61.570375, 47.03948255, 49.70099067, 61.27001819, 
##     58.72057375, 49.3718534, 44.67616282, 38.47730775, 43.95039319, 
##     38.77614921, 38.48122067, 33.13888545, 32.59017976, 29.72777744, 
##     28.73505691, 30.01656736, 27.78970883, 38.34809941, 31.4138647, 
##     29.73801506, 27.36213693, 31.01560121, 27.30429681, 8.137148077, 
##     3.820184264, 12.0928852, 22.43499054, 34.94447156, 25.98715753, 
##     24.77931814, 21.25287957, 24.8982938, 29.00501887, 34.15841996, 
##     37.69158346, 38.98919672, 43.63272083, 42.24377558, 40.04777642, 
##     43.29280659, 45.94268213, 48.36853527, 57.16490161, 57.78391757, 
##     58.086522, 48.6401121, 45.85715158, 53.20150475, 46.95823809, 
##     40.06303091, 40.33350307, 38.28743105, 40.4, 37.86371595, 
##     40.56298345, 37.76066157, 28.97768474, 26.67845939, 33.58618256, 
##     38.05290503, 30.7789791, 21.61510307, 18.68020141, 17.27569149, 
##     14.4468243, 27.98093157, 27.47461703, 24.64193273, 26.73119537, 
##     29.450736, 31.75207208, 31.73912771, 31.10347001, 26.7123149, 
##     32.28092602, 38.25403951, 42.83336013, 44.37904837, 48.79280362, 
##     51.15723235, 50.58878013, 58.71917943, 56.85615255, 49.71347912, 
##     55.12387461, 50.004716, 44.88573672, 41.9500419, 40.58894724, 
##     35.8494157, 37.53408445, 40.98815148, 40.34852785, 44.75292529, 
##     34.05493373, 33.98369095, 30.04526939, 31.64298581, 27.72516938, 
##     22.18531909, 21.51941145, 19.75235342, 31.70214897, 34.47444952, 
##     35.85088664, 25.362851, 25.27448296, 26.06056655, 29.4226601, 
##     32.10328011, 30.46489849, 26.66081925, 30.12587571, 33.53614934, 
##     35.06572581, 44.27896699, 56.45544545, 59.3, 32.93634498, 
##     32.37154239, 35.69782423, 34.38924583, 31.82484551, 37.3871326, 
##     40.45177963, 48.17976993, 50.13224535, 51.65839955, 50.88418734, 
##     53.89793684, 52.77869752, 49.83501149, 46.29708501, 53.48979046, 
##     58.78935751, 53.19899796, 42.45023583, 43.59916325, 37.58376619, 
##     40.88274746, 42.89944132, 41.68972864, 41.1723599, 37.86388441, 
##     35.93523011, 31.56013114, 36.581082, 33.52013269, 32.47618881, 
##     28.69571429, 28.00465441, 27.13074455, 29.82609376, 31.79271375, 
##     25.2456422, 13.83813778, 24.70906273, 31.77995159, 26.77670906, 
##     26.11119702, 22.34319637, 29.05512196, 31.48682586, 29.29345824, 
##     32.32665305, 30.08881087, 31.71146192, 34.2822115, 40.61917855, 
##     44.22541017, 45.97432385, 48.04261426, 49.88233323, 50.58001966, 
##     53.041737, 56.32412376, 53.20180969, 55.20635659, 48.82866762, 
##     47.70845205, 55.04234663, 46.56880887, 47.40771505, 39.22238889, 
##     42.47301718, 43.08699729, 42.36609175, 46.68026145, 48.67595615, 
##     37.36364451, 37.75148087, 38.81480634, 35.61530686, 34.34367734, 
##     33.87619585, 36.50740747, 42.19890255, 35.8, 32.63969512, 
##     37.18857803, 35.78916602, 31.26622262, 27.58235918, 27.36879434, 
##     21.80343299, 21.06842469, 21.06842469, 21.06842469, 18.5739686, 
##     18.5739686, 18.5739686, 18.5739686, 8.297168391, 8.297168391, 
##     8.297168391, 8.297168391, 6.477868969, 5.926307746, 12.56675546, 
##     12.56675546, 12.56675546, 12.56675546, 12.56675546, 21.93606161, 
##     25.40176581, 25.40176581, 25.40176581, 25.40176581, 25.40176581, 
##     25.40176581, 25.40176581, 25.40176581, 25.40176581, 11.20767286, 
##     28.23469279, 35.40693963, 33.24080786, 20.61073419, 13.02476652, 
##     13.02476652, 10.28390596, 8.179190334, 14.49279835, 21.74761645, 
##     21.74761645, 13.47598112, 16.81040391, 18.38571797, 17.78252559, 
##     17.8, 11.35881131, 11.20939395, 11.65110628, 11.65110628, 
##     11.35881131, 9.452654275, 11.65110628, 11.65110628, 12.7138017, 
##     11.50521896, 9.336071773, 14.41312778, 9.645819033, 9.645819033, 
##     11.79611664, 13.95366524, 11.88240883, 13.68609823, 9.218798483, 
##     9.218798483, 9.218798483, 9.218798483, -50.58463962, -51.2337709, 
##     -50.41004896, -51.08228793, -51.03860386, -51.07913522, -51.52262766, 
##     -50.9075525, -50.7336164, -52.6, -51.68896593, -51.8617642, 
##     -50.97906174, -50.40325421, -51.04568777, -51.8617642, -51.8892558, 
##     -51.81347291, -51.82264023, -52.62204848, -51.3225062, -51.69163265, 
##     -51.15097061, -51.79776296, -51.87064759, -51.70349152, -50.61980994, 
##     -49.87072196, -49.07041655, -49.81410837, -52.75151932, -52.50495845, 
##     -50.9720265, -51.17033948, -51.1854644, -51.66949973, -52.49173038, 
##     -50.8, -54.11982508, -51.05770175, -50.23582705, -50.67328323, 
##     -48.92182796, -52.83968666, -52.48553342, -51.19206635, -50.44552884, 
##     -51.68790356, -52.46985715, -50.04933694, -50.2327253, -50.71495098, 
##     -50.89955222, -50.60664111, -50.96986038, -51.22042331, -51.90526873, 
##     -51.7, -51.55349879, -51.39301132, -51.69187438, -51.64065931, 
##     -51.88716085, -52.50949278, -51.39301132, -50.86229061, -51.05197166, 
##     -51.28702129, -51.9292018, -51.58760169, -51.86792235, -51.52400728, 
##     -51.56633364, -50.93697776, -51.07287348, -51.27055534, -51.64718134, 
##     -51.8, -51.57177341, -51.30888855, -51.10943076, -51.41970177, 
##     -50.94393498, -50.70900687, -51.30888855, -50.64146803, -50.84105429, 
##     -51.88786276, -51.20920096, -51.02700697, -51.31793958, -51.58445681, 
##     -51.84522258, -51.50949875, -52.06919744, -51.50949875, -51.37700647, 
##     -50.94159613, -51.34629631, -50.57535272, -51.15111409, -51.94029984, 
##     -52.79292442, -50.70450324, -52.5069619, -50.73630545, -54.98815161, 
##     -56.00564073, -52.349859, -48.73473488, -55.6081703, -50.24751902, 
##     -50.38676596, -50.23846101, -49.63658583, -51.14781961, -51.32374795, 
##     -51.01421466, -51.22235802, -51.63657363, -53.58725287, -51.46564106, 
##     -50.66030976, -50.19631912, -50.31967749, -51.14726135, -52.37139264, 
##     -53.0201709, -52.12069803, -51.04543127, -51.15582378, -52.96408298, 
##     -51.75123478, -53.22086296, -52.875786, -52.93704487, -51.07836628, 
##     -49.90559219, -50.10199158, -50.91296131, -50.23888096, -49.2893313, 
##     -55.34632329, -53.21297484, -44.05045076, -41.81828714, -48.02635607, 
##     -48.50424003, -48.69524355, -47.50233302, -48.93115772, -50.60664111, 
##     -48.6311617, -50.03742185, -41.05424702, -34.84078007, -25.51246957, 
##     -28.39291993, -33.31214113, -36.22339723, -41.87723753, -47.28262609, 
##     -46.76241473, -39.94870907, -42.59958884, -48.81855279, -37.01107214, 
##     -40.47730625, -44.15924678, -47.49065175, -63.25810443, -54.50005789, 
##     -43.78063876, -41.92924813, -44.3576232, -50.83924628, -53.18921345, 
##     -53.90171958, -47.86474087, -48.31613429, -44.5, -46.13481647, 
##     -37.35019714, -38.01332463, -34.47599443, -53.39178934, -56.51648698, 
##     -31.5191103, -31.61657602, -35.27831859, -39.97766532, -42.23599589, 
##     -44.72060461, -39.02968688, -39.65317501, -42.69586477, -31.87709973, 
##     -50.11727857, -45.49504808, -57.77215616, -59.39129002, -58.6, 
##     -53.53563805, -41.61236771, -41.49545148, -54.21100804, -51.8617642, 
##     -45.78731869, -44.54517115, -39.51526461, -34.90085649, -37.14824269, 
##     -41.68050792, -42.45004448, -46.11560614, -47.84220465, -52.00587028, 
##     -46.38309744, -36.83060986, -30.1162403, -26.66269514, -29.89370526, 
##     -38.52379836, -47.02817994, -49.04065189, -47.31702178, -45.25963227, 
##     -45.81903823, -45.43984178, -47.07153278, -43.25754482, -39.26548749, 
##     -43.02769344, -47.57087736, -46.05359541, -47.69606342, -52.67384711, 
##     -34.12163954, -39.67949696, -29.62374105, -53.13343823, -71.30780565, 
##     -60.43334081, -58.08852081, -61.07392862, -52.74273598, -43.09857073, 
##     -37.37921748, -37.12535373, -47.11721415, -52.22567433, -49.32722111, 
##     -49.80862335, -44.80612239, -39.64421979, -36.68908039, -37.59159055, 
##     -39.31632031, -41.50544496, -49.9645031, -50.57871767, -45.86162892, 
##     -47.40757901, -49.37122815, -33.67611566, -36.0829513, -37.49265427, 
##     -41.45951577, -42.08539339, -42.03322254, -42.73635311, -41.35544694, 
##     -43.56857666, -38.88542626, -29.17503711, -31.0830294, -44.50899774, 
##     -31.48728065, -43.76146531, -56.92211299, -54.68132625, -54.34824345, 
##     -48.2670063, -62.55659695, -63.6432028, -56.61645379, -40.12621825, 
##     -44.74662033, -50.99927113, -56.25864547, -55.09123156, -53.00699302, 
##     -50.96551326, -49.67152344, -43.32045579, -39.10219064, -37.71247671, 
##     -30.77683681, -45.31818927, -45.24588226, -44.00269708, -42.33003551, 
##     -39.98340067, -43.10337629, -46.82894587, -46, -35.49784952, 
##     -52.96567713, -45.95064892, -42.72308226, -45.50464785, -43.24464172, 
##     -40.91085232, -48.93361887, -50.35346022, -50.47445067, -50.12103923, 
##     -46.81514675, -45.43614941, -36.01894862, -33.98345376, -42.50356732, 
##     -46.74394721, -34.23255036, -52.2, -56.54860538, -65.03559095, 
##     -49.48754953, -39.35527232, -41.29443466, -51.93925093, -58.37468396, 
##     -49.43831181, -48.95972875, -46.40811625, -36.20864597, -36.13796779, 
##     -41.49093592, -43.97065011, -41.82786348, -43.14836118, -45.62394439, 
##     -48.40001986, -54.5971093, -37.73802361, -42.04834357, -45.8584872, 
##     -49.32508903, -50.39167309, -42.92999745, -47.58815716, -47.23008725, 
##     -43.66992653, -42.31771106, -38.92447849, -35.87518031, -41.52249969, 
##     -29.40177972, -40.4688562, -38.79571974, -41.60201135, -43.48671518, 
##     -39.27979018, -39.42443751, -40.50748938, -43.7052099, -39.65930677, 
##     -30.91822452, -46.67401323, -34.38083816, -47.41936957, -52.93457177, 
##     -47.45604945, -36.36507267, -51.19259714, -34.1902401, -32.69042258, 
##     -55.92993065, -50.97683036, -55.01711241, -64.14076529, -50.54495253, 
##     -47.72370352, -47.68086806, -50.15694355, -53.85625148, -50.02319184, 
##     -51.3, -48.75779784, -44.09481313, -43.19554574, -41.624287, 
##     -28.30209576, -38.45122507, -36.50042803, -35.63032184, -36.79638492, 
##     -39.64449196, -37.51461404, -33.82935629, -39.0970062, -34.66700211, 
##     -37.2, -28.75205008, -27.98979716, -26.70716709, -27.76143337, 
##     -30.45512885, -30.50141772, -29.28113824, -26.83162902, -26.78434296, 
##     -28.62459688, -25.76582015, -29.84792507, -31.42318991, -26.90171658, 
##     -24.88142604, -25.03170108, -22.36882509, -24.87042763, -21.88074452, 
##     -21.71390456, -25.0995852, -24.76264255, -24.13050152, -22.61140473, 
##     -24.74014206, -22.19457701, -20.08558319, -18.29406359, -19.28119824, 
##     -20.37697761, -18.97739051, -16.47105343, -16.8442702, -17.17240229, 
##     -17.62338011, -16.78415008, -17.67354988, -18.49561144, -20.43096576, 
##     -20.13211772, -21.24961334, -22.21036411, -21.77977959, -22.68484736, 
##     -22.6523247, -22.68837322, -25.11521763, -21.97720096, -26.31632835, 
##     -23.81417789, -24.82358103, -24.27651029, -24.12554655, -26.3, 
##     -26.02419283, -24.05657247, -26.45002614, -25.99646173, -28.48658509, 
##     -27.47069586, -25.88233928, -26.29192484, -28.75205008, -29.60390527, 
##     -26.649948, -27.02957614, -30.40526487, -28.77414378, -26.26752725, 
##     -27.94068212, -28.40798113, -28.75688761, -29.47756446, -27.31852013, 
##     -27.98409688, -29.51832709, -36.07402597, -39.30032136, -21.51220505, 
##     -22.12592845, -25.41815186, -26.43773243, -23.03956483, -25.08086042, 
##     -24.55847891, -23.43427286, -25.25889883, -24.82612846, -23.41733551, 
##     -20.21788748, -18.53454933, -17.78252559, -17.72291878, -16.23016867, 
##     -16.36473717, -17.73793512, -16.13347535, -15.24895086, -16.92220657, 
##     -17.54599883, -18.93422361, -21.3, -23.63861789, -23.2763141, 
##     -24.61405549, -20.93794927, -19.63768145, -22.90204683, -22.5764749, 
##     -22.21901333, -26.01777746, -23.59230157, -24.13191883, -31.27837847, 
##     -24.14148673, -27.13922088, -27.13605314, -27.6336513, -27.86137196, 
##     -29.08137924, -29.57497427, -31.41398369, -32.49420231, -29.4, 
##     -27.0549763, -27.6703389, -26.17993945, -27.52287865, -29.62985649, 
##     -25.44278317, -25.3160912, -30.57087501, -27.53792141, -22.53259857, 
##     -23.23952527, -21.30575363, -25.64736481, -24.62301394, -22.66339824, 
##     -22.32086742, -24.82504356, -24.36516808, -22.35803435, -22.66566797, 
##     -23.5, -22.66566797, -23.10862862, -17.29133926, -13.76502311, 
##     -11.53093622, -11.052937, -13.75266893, -13.88272536, -18.63596089, 
##     -20.78895019, -22.45245509, -22.55222939, -22.57002753, -18.94086927, 
##     -19.82352991, -20.3759037, -21.0107113, -23.2222883, -25.71154908, 
##     -24.42037652, -29.92231768, -23.5, -25.85278924, -25.49399542, 
##     -26.08237004, -27.91977834, -26.53131832, -24.14533304, -26.24241012, 
##     -26.38252756, -26.38060036, -26.90595167, -28.36228359, -27.78092193, 
##     -26.21012325, -27.28251254, -26.81570513, -27.77558295, -30.28540883, 
##     -29.60587031, -28.3, -25.5493224, -26.0216658, -25.26760875, 
##     -23.69533786, -24.62301394, -24.44599886, -25.3764733, -16.31241106, 
##     -19.96270314, -22.10030146, -21.50744095, -20.07673483, -22.01541624, 
##     -16.51528139, -17.95741864, -17.83640102, -16.09790358, -15.21980115, 
##     -11.92247317, -10.9753314, -5.953999742, -7.667890106, -5.468745836, 
##     -6.506379083, -6.0611083, -6.014869534, -6.394119857, -6.292302296, 
##     -8.646240414, -9.628700096, -8.9, -11.97831519, -10.73652495, 
##     -15.80560996, -14.81148688, -15.36459151, -16.62853996, -18.17576184, 
##     -22.81211878, -21.64475501, -19.70550684, -25.12347444, -25.1125045, 
##     -25.49974956, -16.81029485, -19.64226184, -18.846713, -16.07129447, 
##     -20.66445939, -22.1328613, -26.67196719, -24.47706818, -27.00638668, 
##     -23.7, -39.10353272, -39.38678955, -36.95573232, -34.56644931, 
##     -32.83194655, -31.67213477, -30.76619992, -25.66192678, -22.54512192, 
##     -22.11298018, -22.38939575, -19.22995027, -19.95356402, -21.38273669, 
##     -27.41869345, -28.95772392, -29.84838822, -28.84690193, -25.13110093, 
##     -23.11523012, -24.21341851, -22.58917791, -23.01379785, -21.89875495, 
##     -19.68061887, -16.38079243, -14.9825593, -13.91398706, -18.11770603, 
##     -16.72683083, -17.06356148, -16.3691035, -18.30609494, -19.96826592, 
##     -21.62570999, -22.47153586, -32.35991009, -35.64540342, -35.60789265, 
##     -30.85363216, -26.28992056, -34.41293502, -33.50696673, -32.5913358, 
##     -33.6, -32.78398595, -29.37794503, -31.89873511, -27.25225109, 
##     -28.50544337, -28.94165934, -29.38994819, -29.48713342, -31.22242432, 
##     -26.79595081, -25.82895741, -25.03747229, -27.74630093, -25.5858441, 
##     -27.7400882, -29.19257853, -34.92438367, -33.52580804, -31.48295778, 
##     -31.8209926, -30.6, -32.2358944, -35.6401973, -37.90115206, 
##     -39.22057832, -41.3232848, -40.26269005, -29.45987268, -21.62900444, 
##     -17.68334832, -13.71961013, -2.321325163, -1.346130892, -2.340934138, 
##     4.171677253, 14.21600608, 16.57351262, 24.69827837, 27.25758501, 
##     26.6007887, 25.63969335, 29.18463973, -14.04463942, -14.67626362, 
##     -20.20822492, -25.19878492, -23.19729329, -29.5060576, -32.41093895, 
##     -35.93319235, -36.68025139, -34.01533364, -34.17628032, -34.67462462, 
##     -39.45335032, -36.69938796, -29.55475057, -25.61177728, -22.59750676, 
##     -16.70839473, -26.73086845, -27.5, -25.7623031, -27.0873197, 
##     -24.33675202, -19.82373837, -22.83390868, -26.81030174, -39.77507137, 
##     -37.21412307, -28.46783312, -33.10361207, -25.50030237, -26.01387486, 
##     -13.53087256, -6.938638545, -6.23587196, -2.758307358, 19.62335174, 
##     20.68051394, 22.84370018, 30.22124638, 30.56049906, 28.93035285, 
##     29.3, 29.10688096, 29.22281493, 31.35800059, 33.54626838, 
##     34.17862026, 31.59973602, 32.80944853, 31.54965594, 33.84551938, 
##     32.39438439, 34.0868269, 26.24638655, 21.61158809, 11.86600935, 
##     7.851862494, 4.632179323, 3.265127706, -1.039713024, -8.776577234, 
##     -9.466310321, -15.74093102, -15.66756837, -11.70327927, -19, 
##     -18.77414271, -22.58800664, -25.13816729, -25.43177546, -26.57335543, 
##     -23.28266693, -37.37164329, -40.69139652, -35.56666828, -25.93991167, 
##     -28.92927165, -30.18466039, -31.81805004, -38.7140505, -39.00552856, 
##     -22.37540836, -22.8095933, -20.64539467, -31.18480087, -30.33563289, 
##     -29.06356327, -27.60913711, -26.5226396, -24.30710388, -23.33895139, 
##     -22.13191272, -34.00331571, -42, 22.35034734, 19.21507431, 
##     20.22106153, 23.0071708, 22.48267155, 25.9974842, 23.59730834, 
##     24.46052949, 20.71362467, 21.16049306, 21.3670969, 12.71425842, 
##     3.055089347, 0, 4.071235985, -5.786959096, -13.12720871, 
##     -23.12121491, -22.80987262, -22.76319215, -27.3429052, -31.1, 
##     -33.22688355, -28.7438375, -30.44395684, -33.13007236, -32.40789972, 
##     -27.24209374, -19.25093291, -19.41703429, -18.53381237, -6.076750602, 
##     0.505168637, 5.85171174, 7.563040768, 22.10469689, 18.74330614, 
##     20.61622815, 22.68399936, 23.1, 43.69459683, 43.01435594, 
##     43.13497962, 44.22710901, 43.37829158, 43.80234978, 43.50873587, 
##     41.8982094, 39.64442993, 39.04369242, 35.97703204, 23.6862932, 
##     18.68603198, 17.49359879, 7.790173775, 7.451977534, 7.88920049, 
##     3.403932414, 0, 1.035079856, 0.522389708, -4.779465634, -9.759604061, 
##     -8.560245959, -11.33701378, -14.39964388, -16.7, -23.08892009, 
##     -25.576368, -25.63441854, -28.04692859, -29.99201096, -28.77241519, 
##     -27.3195173, -27.18629294, -31.80353236, -30.99440446, -28.97273663, 
##     -31.38232983, -32.33044501, -34.26717505, -33.48241706, -34.19788211, 
##     -36.09985834, -33.98877689, -33.24754599, -38.62085785, -101.6220001, 
##     -52.04908819, -53.73931273, -50.04998285, -47.36554534, -46.30200155, 
##     -35.7101557, -19.44254882, -27.72118127, -39.78701896, -41.56065732, 
##     -42.33552612, -29.59614511, -29.57870778, -33.54820212, -4.335889962, 
##     -0.816124875, 21.44620493, 22.75455549, 3.061862268, -4.494540254, 
##     48.92126239, 14.74714245, -0.84453114, 9.210973708, 9.722114309, 
##     26.18418825, 22.48689564, 4.264531742, 5.895344569, 12.85674268, 
##     14.40574027, -3.10023258, -19.3, 6.668889357, 64.38529651, 
##     51.18346466, -13.65063112, -6.015361399, 17.05298799, 17.9976936, 
##     18.93002591, 28.06415439, 23.7193009, 11.46195399, 6.462490632, 
##     6.271874255, 9.018332261, 7.103818078, 8.633465906, 5.819813179, 
##     -0.725120138, 1.528916757, 0.747129069, -11.28119528, -24.59872608, 
##     -25.51137848, -17.49967875, -14.39212052, -22.87524891, -24.09445469, 
##     -16.53623223, -35.30799297, -53.48811882, -47.16506721, -41.81897653, 
##     -22.49728898, -14.22830486, -4.382482252, -13.2465757, -25.21196184, 
##     -22.56504639, -22.92648562, -24.05956949, -16.8200994, 7.153233987, 
##     -3.621924882, -5.678348423, 15.51005144, -10.72643859, -1.703583286, 
##     15.13055671, 17.9592252, 16.48164413, 19.08190796, 22.674595, 
##     40.46951771, 33.5, 36.91846475, 46.15697825, 2.694079578, 
##     19.52986246, 19.90606267, 21.83524705, 17.22090363, 22.44544683, 
##     25.26522434, 6.548736732, 8.309242433, 16.98007489, 16.31636395, 
##     2.421245234, 2.386671878, 4.459272755, 3.6, 5.141965803, 
##     2.247585162, -14.25184456, -23.9556171, -29.3680005, -18.94597105, 
##     -18.43752607, -18.17373056, -20.55570144, -22.78103299, -34.22287742, 
##     -42.779982, -34.68405267, -21.87231099, -22.03140549, -26.30717876, 
##     -25.72104342, -24.55803239, -19.32092303, -27.36606913, -27.48006846, 
##     -37.96949746, -42.66166834, -2.804841028, -7.308909832, -21.19734435, 
##     -21.67874228, -20.46760147, 15.71747839, 10.8, -39.24426946, 
##     -40.82793158, -41.32658451, -40.46354624, -38.02372669, -31.08311133, 
##     -26.00076059, -29.34955008, -34.49766202, -27.00333189, -27.91279985, 
##     -46.47806567, -53.4832938, -51.99883315, -36.00298152, -34.56253167, 
##     -26.80309292, -21.44649905, -8.568090206, 47.90675215, 48.34951052, 
##     6, -5.503515976, 4.365513384, 2.235385066, -16.8580301, -41.6132501, 
##     -63.20878137, -48.29000431, -6.109741718, -29.0483606, -25.79394998, 
##     -10.52020847, -10.41301865, -12.31669771, -17.68598851, -22.10952563, 
##     -22.49079022, -35.40693963, -41.12511324, -35.90823552, -21.43964076, 
##     -24.67015789, -18.58908134, -2.16616381, 7.323549972, -18.09452042, 
##     -12.17679672, 6.878414845, 15.33346023, 15.07725569, -11.66657907, 
##     -4.198757262, 13.02446009, 16.19885075, 7.631429217, 18.26215778, 
##     17.07241519, 16.55637364, 40.71760264, 44.10160597, 14.17385903, 
##     1.665587473, -2.386067887, 8.712449626, 12.18133991, 10.3179857, 
##     24.2, -9.214592613, 25.73230107, 19.73210229, 21.35475062, 
##     -3.098944632, -4.008113853, -3.319445439, 2.691990839, 4.475273388, 
##     -1.234481668, -20.98102029, -24.03105636, -18.46801293, -16.31626572, 
##     -2.973943524, -27.47063671, -27.96141069, -18.38754167, -14.47048015, 
##     -16.67372236, -14.65000629, -6.183562252, -8.713931211, -13.40943955, 
##     -21.5, -12.78118803, -17.69147631, -32.81705958, -45.59421572, 
##     -21.46251804, 13.98699099, 7.321258909, 1.208626539, 0, 47.85730823, 
##     87.10722447, 75.79131071, 57.29534023, -11.81012773, 1, -56.38059826, 
##     -32.0345819, -52.30215964, -38.76483047, -49.28207865, -67.90219039, 
##     -63.87226741, -53.59212166, -55.92872386, -49.86447536, -49.62410864, 
##     -50.80791222, -52.72226872, -50.89571831, -53.17241022, -56.30040372, 
##     -59.59769227, -49.3594195, -52.27455094, -50.79125644, -51.36001781, 
##     -53.70624947, -53.36483727, -52.15198957, -52.98762736, -54.88228359, 
##     -55.02223668, -53.64051288, -52.98783037, -55.89714341, -53.82570989, 
##     -50.7778997, -50.91283699, -51.84156675, -52.02619953, -51.78272893, 
##     -53.12762952, -52.12745967, -50.94648761, -52.40829531, -51.76301433, 
##     -51.38262684, -52.42154754, -51.98770068, -51.55807016, -52.12745967, 
##     -52.41544247, -51.90349391, -52.10977024, -52.45999221, -49.90481679, 
##     -60.05382555, -65.89877725, -62.90465338, -46.27085374, -50.59378414, 
##     -58.68710389, -44.17516171, -41.98599062, -46.30643483, -60.02463559, 
##     -67.75016723, -62.18242878, -56.29651707, -58.30367588, -61.67641913, 
##     -50.77833095, -33.60653262, 23.13192942, 12.90409139, -28.28653578, 
##     -45.92176123, -47.98246878, -58.90368915, -59.97259793, -58.53448263, 
##     -55.25732896, -44.28598506, -47.5637458, -50.23483525, -54.34851735, 
##     -58.78335244, -55.42343323, -52.79659198, -51.41658181, -50.39155045, 
##     -48.34275129, -41.47199912, -45.50205952, -41.398791, -44.51163558, 
##     -46.81230431, -44.25962758, -43.30328661, -40.83625166, -36.4, 
##     -36.98162852, -38.84011057, -42.96395409, -45.35658868, -46.40754493, 
##     -46.61151064, -45.47170414, -45.61524411, -29.44230496, -38.60170348, 
##     -49.33742773, -54.96064737, -41.14819876, -43.56248062, -56.00175904, 
##     -52.6453451, -51.97411438, -56.73016557, -56.12458093, -54.73312884, 
##     -53.20767411, -45.59959918, -48.61790681, -51.119708, -52.89623491, 
##     -53.12579183, -46.58132677, -46.08379352, -44.39543746, -37.07432062, 
##     -41.57593836, -34.99178783, -56.11318426, -28.15946172, -32.86605188, 
##     -39.86580557, -51.3145848, -58.77873312, -47.94317071, -51.32238751, 
##     -54.89199633, -53.62352081, -56.20965195, -55.75900016, -57.69595001, 
##     -48.48470553, -45.79100023, -54.51842732, -55.68771079, -46.20020513, 
##     -39.4588136, -36.91745073, -51.35281958, -51.62298189, -51.74739999, 
##     -52.15010796, -52.25046571, -51.43761989, -50.97529585, -51.94171702, 
##     -52.63808023, -51.28176747, -51.28176747, -52.08963161, -52.99935063, 
##     -53.34596391, -52.531611, -51.62076098, -54.33231554, -52.02504359, 
##     -52.39140222, -52.19034611, -52.4922877, -52.22978701, -51.58445681, 
##     -51.98770068, -52.29189747, -53.04345389, -52.04740089, -52.04740089, 
##     -52.7, 18.94313637, 13.49096191, 9.581953332, 10.26432443, 
##     5.145715536, 11.9569236, 9.522036503, 9.318321588, 11.79283515, 
##     10.32914259, 9.101121098, 9.101121098, 9.101121098, 9.101121098, 
##     9.101121098, 9.101121098, 9.101121098, 9.101121098, 9.101121098, 
##     10.62712383, 10.62712383, 10.62712383, 46.50624201, 52.98996505, 
##     45.37507452, 42.05889375, 38.30643372, 37.86746221, 43.32705915, 
##     29.98446553, 29.81456264, 27.78530551, 32.11222574, 29.46239483, 
##     29.84139598, 30.37678629, 25.2456422, 28.30822151, 28.49520135, 
##     34.40209488, 27.67890457, 27.48344715, 25.61894937, 28.17969785, 
##     30.4382494, 30.13207452, 24.8772038, 23.88420087, 19.64049315, 
##     25.46974724, 26.62520492, 23.92144834, 27.76116585, 27.31331502, 
##     35.59523046, 36.26362135, 37.37316814, 39.19874395, 42.85719677, 
##     45.49518897, 47.01802307, 52.03122688, 58.30174068, 58.75974038, 
##     56.31331278, 49.55501035, 52.81514194, 46.91370278, 43.24696456, 
##     34.41452241, 38.61806661, 38.86322708, 4.277777683, -2.682637863, 
##     -8.233151952, -21.6942574, -16.42750213, -18.66920058, -19.004867, 
##     -11.00342457, -19.405537, -28.12546678, -26.33523431, -31.93506194, 
##     -38.37404006, -42.30506778, -35.45644121, -22.52251983, -13.12825891, 
##     -4.94065777, 6.903456762, -3.915261828, -19.49554162, -23.07286161, 
##     -5.966682154, 8.539022192, 7.537063462, -6.4318642, 36.49557926, 
##     64.34595616, 42.38062251, 22.69103445, 20.5883789, 12.44017624, 
##     43.14917628, 28.16941913, 14.28965276, 13.96405394, 2.27043183, 
##     18.22763665, 23.03383311, 20.65628314, 23.42230363, 17.01958057, 
##     15.9458546, 28.86188894, 16.99905882, 7.762001746, 11.43942607, 
##     11.62817586, 8.018166503, 6.227784136, 5.096289215, -15.22286138, 
##     -15.5, 18.28728795, 34.63314905, 34.30734215, 3.17513665, 
##     4.092088232, -5.289887896, 13.38183561, 18.27188416, 16.79547479, 
##     11.78064473, 4.446304443, 10.80428526, 6.137949731, -3.873913488, 
##     -7.913264173, -12.23593314, -31.462344, -28.31174864, -36.5616976, 
##     -37.10024214, -52.1466366, -30.67214477, -19.85032115, -18.9619775, 
##     -21.85262431, -18.77089899, -13.48303449, -17.74964549, -33.80139298, 
##     -36.67006245, -59.34880382, 10.58892463, -45.56226933, -55.03603653, 
##     -42.27584942, -25.67532796, -14.47893366, -22.67740748, -22.38979419, 
##     -20.72162142, -50.50124241, -21.732779, -7.693884543, -45.02794329, 
##     17.87181865, 0, -16.24719654, 0, 15.61867925, 13.53024811, 
##     27.5463351, 21.17206838, 25.60819401, 12.85557993, 21.99142752, 
##     11.33539875, 6.201408526, 29.96358564, 32.74300517, 29.6390522, 
##     30.23624024, 32.66986153, 43.75878888, 22.21901333, 13.91921573, 
##     -9.878331313, -5.830836885, -9.766489373, -8.804369171, -8.990164482, 
##     -8.915608834, -1.078662253, -11.52659992, -6.743280532, -7.53957689, 
##     -6.63845604, 9.236258513, -2.412851317, 0, 17.91306093, 13.860274, 
##     15.07000364, 6.644864865, 20.84646984, 32.95038166, 29.87925352, 
##     30.92295448, 25.62860884, 26.58428514, 38.01938762, 34.95819077, 
##     37.9635341, 40.72402704, 32.88393527, 30.07187322, 29.17063038, 
##     37.4847224, 35.75631902, 32.94956798, 33.34525545, 32.03146555, 
##     34.82695033, 37.41167568, 37.93992199, 38.18203552, 39.36341595, 
##     32.51448388, 32.78798586, 31.92121582, 48.02635607, 53.2421046, 
##     45.91231765, 33.2013671, 22.46060133, 28.1717148, 15.47161531, 
##     6.957959546, 13.01166667, -80.63045762, -70.70184753, -11.04882324, 
##     6.181957436, -10.6, 21.70885726, -11.06466366, -4.555926199, 
##     -10.86289324, 36.05853223, 42.46795642, 55.13869395, 59.78287237, 
##     64.1455637, 63.87871519, 58.96919784, 55.80384715, 51.08741326, 
##     48.87339325, 45.34276417, 46.7443943, 48.34407412, 47.35792754, 
##     43.56410697, 45.3243465, 40.86005993, 28.31294207, 4.221585715, 
##     14.32005123, 20.78208735, 7.439802864, 32.02792371, 65.4546167, 
##     60.7811039, -105.5329786, 11.5294725, -6.08956914, 17.3499745, 
##     17.73747952, -15.32956714, 3.691905984, -3.567638645, -30.76338974, 
##     -15.25382892, -3.947710489, 4.308637917, 13.05595099, -1.909821051, 
##     9.920713764, 7.295412641, -7.143242994, -10.59921335, -14.42958268, 
##     -9.0530796, -5.7, 21.71314883, 19.69824357, 30.84910745, 
##     30.38190126, 34.14487858, 29.83683451, 28.4970551, 25.03318077, 
##     18.79301549, 13.1365634, 7.513995989, 5.102189787, -33.14255681, 
##     -29.39960556, -25.37829787, -26.94357382, -31.22294851, -29.6534103, 
##     -28.88515747, -24.17991167, -22.79149764, -22.86197132, -22.97190847, 
##     -20.99018431, -21.75662341, -19.7), yaw_dumbbell = c(-84.87393888, 
##     -84.71064711, -85.14078134, -84.87362553, -84.85305745, -84.46500278, 
##     -85.09961258, -85.09708174, -84.91563379, -84.44601983, -84.71064711, 
##     -84.89472246, -84.46500278, -84.28004856, -84.69053461, -85.03638595, 
##     -85.26057697, -84.93667392, -85.07803122, -85.09708174, -84.46500278, 
##     -84.85305745, -84.64918975, -84.7, -84.87393888, -85.11886321, 
##     -84.93557392, -84.87393888, -84.87393888, -84.69053461, -85.15887803, 
##     -84.50636612, -85.01527601, -84.62953444, -84.64918975, -85.07803122, 
##     -84.64918975, -84.81058285, -84.87393888, -85.07803122, -85.11886321, 
##     -84.71064711, -84.83080156, -84.64918975, -84.93285578, -85.01527601, 
##     -84.71064711, -84.66896285, -83.93197331, -84.85114062, -85.28282245, 
##     -84.9, -84.4415855, -84.4840986, -83.57624877, -84.20204033, 
##     -84.66896285, -84.42283544, -84.28004856, -84.89472246, -84.52580163, 
##     -84.85305745, -84.66896285, -84.89472246, -84.46500278, -84.52580163, 
##     -84.83261299, -84.52580163, -84.56669062, -84.46500278, -84.17631287, 
##     -84.4840986, -84.21990017, -84.46784499, -85.38055864, -85, 
##     -84.64918975, -84.89472246, -84.44601983, -84.36200309, -84.52580163, 
##     -84.54692154, -84.71075185, -84.48704755, -85.11886321, -84.30278931, 
##     -84.73107178, -84.52727342, -84.86920748, -84.73107178, -84.91445734, 
##     -84.52727342, -85.18112668, -84.34303267, -85.13677002, -85.40379472, 
##     -85.32397096, -84.62953444, -84.91445734, -84.79157034, -84.8097078, 
##     -85.11480144, -84.91445734, -85.13677002, -85.36429634, -84.97560794, 
##     -84.73107178, -84.46500278, -84.93557392, -85.05658246, -84.95416453, 
##     -85.31861742, -84.8097078, -85.2789485, -85.05658246, -84.71064711, 
##     -84.83261299, -85.26057697, -84.85328202, -84.69053461, -85.07803122, 
##     -85.22064473, -84.97560794, -85.48029537, -85.24085475, -84.67054396, 
##     -84.64918975, -85.14078134, -85.46526697, -84.40838906, -84.40838906, 
##     -84.40838906, -84.40838906, -84.40838906, -84.40838906, -84.40838906, 
##     -84.40838906, -84.40838906, -84.40838906, -84.40838906, -84.40838906, 
##     -84.40838906, -84.40838906, -84.40838906, -84.40838906, -84.40838906, 
##     -84.40838906, -84.40838906, -84.40838906, -84.40838906, -84.40838906, 
##     -99.813275, -97.2567224, -81.06189412, -44.92289294, -44.92289294, 
##     -50.36214196, -49.24857659, -52.4777116, -52.4777116, -45.8842055, 
##     -31.79857956, -18.27130115, -17.64712749, -24.6, 41.09498819, 
##     50.22203639, 50.00949399, 79.64545504, 79.60293262, 80.15875839, 
##     116.4709172, 111.8050552, 116.4377824, 127.3199636, 126.1323593, 
##     125.8882459, 113.585466, 140.7409482, 138.7907476, 139.0740226, 
##     114.2172102, 108.4418031, 112.0619456, 113.0044707, 106.4200986, 
##     109.9336377, 107.8937096, 115.3964837, 120.9101312, 122.0712331, 
##     124.4842447, 118.4938874, 116.6765307, 117.8584684, 124.5381518, 
##     129.5082719, 120.0894639, 106.522752, 110.907104, 119.9385741, 
##     120.3605401, 116.7015415, 120.3548899, 125.2476451, 130.3542142, 
##     124.8553952, 123.7223996, 127.6906541, 123.9, 122.4015434, 
##     124.4290135, 121.5155516, 128.237027, 130.4169465, 123.4807369, 
##     112.1293364, 123.434269, 130.2965511, 125.0925881, 124.9164633, 
##     119.4286364, 120.3287226, 122.6362994, 129.6804467, 126.2283312, 
##     119.295247, 122.3829553, 124.6851561, 126.2677439, 126.086468, 
##     128.7111958, 124.2539082, 127.3576669, 125.8662955, 125.8836028, 
##     124.6113702, 123.91338, 124.9202006, 126.1730906, 127.4, 
##     127.640179, 125.9257704, 124.1755504, 126.6743656, 129.4930963, 
##     128.7287004, 130.2423865, 128.237027, 122.1846784, 122.4765674, 
##     121.0155682, 122.710572, 122.8016055, 128.3660272, 129.8362517, 
##     127.3028464, 124.0357702, 126.2677439, 124.8083439, 124.8780399, 
##     125.8297785, 118.8571998, 119.551259, 120.9752368, 125.3314711, 
##     122.0140512, 124.3461041, 124.9828163, 122.2077596, 122.1846784, 
##     122.0245773, 122.3470429, 125.4825168, 122.7356898, 126.2187625, 
##     127.8344872, 128.3571701, 127.5952704, 125.9670073, 125.6605386, 
##     122.5961327, 124.8116752, 123.2727783, 124.5327407, 121.8867322, 
##     124.0357702, 126.1603006, 125.5417934, 129.4670949, 127.7141681, 
##     125.7842052, 123.397793, 124.4920791, 123.3662371, 123.5331816, 
##     121.0155682, 126.0234716, 122.4688068, 124.5122982, 122.7915268, 
##     125.5802426, 125.1568168, 124.3978223, 133.5431313, 130.3894878, 
##     124.9930088, 124.3595789, 128.3303724, 123.2513694, 129.4989904, 
##     122.3625481, 133.3397908, 126.1, 131.1127929, 127.7789195, 
##     128.9853712, 129.140772, 121.6529668, 134.3775454, 126.241618, 
##     121.782729, 127.5614213, 134.5619542, 122.9180836, 113.2436572, 
##     106.9206551, 108.574654, 101.0280603, 106.2314928, 115.4583159, 
##     124.1480907, 119.395456, 119.7402009, 124.6272667, 126.283472, 
##     120.6964543, 117.300394, 131.356891, 126.0995932, 120.0318037, 
##     114.8886732, 123.7568532, 128.4785899, 115.6790881, 116.422081, 
##     121.6987865, 108.4715074, 115.4550244, 124.2936993, 112.3933043, 
##     94.51173878, 114.490589, 118.8962858, 122.0712331, 128.5459156, 
##     132.8696793, 132.9824637, 135.1908739, 133.2563268, 135.2900179, 
##     126.2902272, 124.6851561, 127.2381283, 131.302721, 128.5838977, 
##     123.7119272, 127.4946264, 129.2203068, 122.4537794, 117.5300507, 
##     120.7638097, 128.8538905, 132.1021537, 131.148267, 134.5619542, 
##     127.7563385, 121.2613272, 122.6070509, 118.6984341, 116.678845, 
##     126.737315, 126.9682014, 124.0373679, 125.890539, 111.927691, 
##     116.6183088, 124.9227625, 121.2040567, 123.2305972, 129.7089697, 
##     128.3301179, 134.5994803, 128.7955776, 118.2957416, 128.946005, 
##     126.5859047, 122.9074196, 128.3219903, 122.6044857, 129.1, 
##     122.4071719, 129.2003932, 130.5227217, 128.9530471, 129.2328266, 
##     127.492323, 130.8692097, 124.0967712, 127.4870288, 125.6999651, 
##     121.9342258, 123.6458925, 116.1109012, 121.5924557, 122.2828096, 
##     121.9588435, 128.0949837, 135.7104011, 114.4939678, 112.7376578, 
##     110.5763193, 115.975134, 117.6988119, 115.0618735, 106.4337434, 
##     116.0137666, 125.238988, 118.9836907, 106.0724758, 106.1775714, 
##     122.7368705, 128.291233, 133.4457993, 132.5264323, 125.2671998, 
##     136.1943402, 121.3053552, 117.9126194, 122.5638677, 124.3335493, 
##     125.8836028, 127.3762025, 130.3229051, 137.1300114, 133.1028173, 
##     134.6220264, 134.3505437, 128.5294217, 135.7235893, 110.0934776, 
##     127.690275, 123.9171778, 124.5405682, 122.3496739, 130.248128, 
##     132.3442371, 128.0916491, 124.3945627, 122.3410158, 130.3664604, 
##     132.7502739, 127.9, 131.0249448, 126.7229148, 126.8050375, 
##     130.5228871, 135.0307522, 131.0344847, 131.6712886, 130.3653806, 
##     128.8429864, 127.5727845, 118.1263504, 130.4013886, 131.2, 
##     136.2799862, 130.8210762, 124.3558905, 125.9847505, 126.9032601, 
##     121.7093181, 116.6602703, 119.8377425, 118.8133149, 121.0129458, 
##     117.8933805, 138.6570184, 130.6762961, 123.6059489, 121.8444906, 
##     119.2537203, 123.1019838, 116.0179482, 103.9135809, 96.29673746, 
##     104.204604, 112.7013654, 120.2576606, 117.2659672, 127.64202, 
##     120.9003108, 132.5722468, 128.0890613, 121.7431033, 126, 
##     121.1957291, 130.8484499, 129.9866539, 129.3786506, 133.6771947, 
##     128.5140207, 126.507031, 127.920847, 124.2308158, 127.190624, 
##     124.5007042, 137.1449119, 137.9131098, 113.0202265, 109.8522561, 
##     126.3829825, 119.3159268, 138.768551, 105.8919438, 92.41647041, 
##     97.92263518, 104.943095, 112.7519529, 116.9281059, 108.0636325, 
##     111, 115.4839388, 117.0891816, 127.4725889, 129.3158511, 
##     133.7305381, 116.1441866, 106.0467336, 119.8273531, 139.2556417, 
##     130.0740475, 116.7524701, 122.3315169, 126.9791907, 138.7765913, 
##     128.7663285, 124.4307675, 126.1603006, 130.6657459, 128.0394384, 
##     118.4, 127.9339532, 125.9798046, 116.5240382, 118.6907453, 
##     130.0853832, 139.1045241, 135.7107089, 128.1619818, 129.3342039, 
##     131.6998322, 136.166636, 131.3714091, 127.976598, 121.1874751, 
##     128.2923826, 127.9476869, 125.2232702, 127.2639231, 132.2373671, 
##     126.4022095, 130.2755701, 117.2099304, 117.8848801, 111.1423358, 
##     115.216991, 113.8388551, 121.2176649, 114.3963292, 131.4, 
##     134.347711, 102.0852957, 114.6484771, 111.7715539, 122.3050125, 
##     118.7074708, 119.7079704, 123.3121019, 126.0598609, 131.9493111, 
##     106.7939617, 131.2694076, 131.7122231, 132.7591121, 120.3844844, 
##     117.1740039, 125.3, 117.7732031, 116.2557911, 117.7196055, 
##     112.9064176, 102.9153932, 109.9336377, 98.477088, 100.3345852, 
##     101.6488831, 104.1925752, 98.93807337, 113.2969377, 120.1945974, 
##     109.860417, 123.5271017, 118.3361243, 115.9098767, 126.339302, 
##     111.0242335, 121.2835547, 132.1368083, 102.1241253, 135.8964604, 
##     139.3302393, 122.005882, 115.9010766, 111.6880694, 118.2272841, 
##     133.5633255, 134.9222059, 126.589096, 125.0873206, 132.5031401, 
##     128.8776603, 122.6193508, 120.6950248, 123.1622842, 118.0845471, 
##     106.1056648, 112.0337887, 108.5324153, 125.3582974, 123.7043864, 
##     106.3314304, 92.7960831, 102.0433938, 107.5, 117.4455726, 
##     106.0392609, 119.8527829, 110.9239349, 108.6672633, 122.7596478, 
##     133.7307473, 119.3755272, 119.4874746, 129.9717944, 138.0289298, 
##     122.6149011, 124.6781635, 141.4010298, 116.4007927, 117.0831541, 
##     110.3101243, 116.4650207, 111.6582954, 107.3916203, 100.4078521, 
##     99.9861795, 119.3119228, 128.3794651, 119.3351906, 87.21678418, 
##     96.67137508, 119.8935143, 105.2541084, 119.8527829, 129.6895349, 
##     124.8854519, 95.28922239, 130.6578847, 123.8589172, 123.7501588, 
##     120.8844161, 124.5572029, 120.528518, 127.8529967, 126.4311762, 
##     123.3293121, 126.7911458, 123.6705382, 124.3461358, 121.9173621, 
##     118.5626103, 128.0287426, -101.0722629, -100.3732428, -100.1286142, 
##     -100.9717761, -100.3294631, -100.9717761, -101.1302018, -100.5825256, 
##     -97.89170035, -98.77217897, -100.249164, -100.5673153, -101.2122322, 
##     -100.5201226, -99.91926758, -100.249164, -101.5590184, -100.6282327, 
##     -100.108864, -100.5160432, -98.50147357, -99.00777499, -100.0388635, 
##     -99.15852272, -101.7842036, -101.3249548, -102.2043567, -102.4852743, 
##     -100.8291399, -102.5756484, -101.6072534, -100.4326616, -100.2373294, 
##     -97.86101603, -98.73114781, -99.56895919, -100.0388635, -102.6950566, 
##     -102.9206372, -101.6133925, -101.5060663, -102.6070528, -100.7955102, 
##     -98.44439252, -108.655126, -107.6232342, -102.9705317, -105.2680361, 
##     -104.8960117, -99.59458854, -100.3919603, -100.234561, -102.8246575, 
##     -106.453021, -108.5089652, -108.9, -109.2368964, -109.0340862, 
##     -108.5089652, -107.3137201, -105.299229, -106.1333202, -107.4170661, 
##     -104.3479759, -103.7382905, -104.727806, -102.5420043, -104.0477019, 
##     -104.990611, -101.287196, -101.7333579, -102.1704656, -103.0163038, 
##     -104.5329378, -102.6730598, -104.3869135, -104.4686039, -103.6521377, 
##     -102.2, -99.78177828, -95.1525753, -98.27486547, -102.8259188, 
##     -103.3041562, -103.5175473, -103.7668301, -102.6853314, -103.057739, 
##     -105.2007409, -104.4243865, -106.9593614, -105.3614263, -105.2096399, 
##     -104.8156552, -106.9683871, -105.7275309, -104.7612388, -103.8655915, 
##     -105.456025, -106.5436948, -105.739197, -100.8247599, -102.3830297, 
##     -109.386865, -110.0135744, -103.9792182, -104.5388337, -99.96696853, 
##     -100.0278664, -100.783113, -103.586628, -103.4125712, -104.597256, 
##     -104.371311, -103.0199934, -102.7414354, -103.404512, -103.4758226, 
##     -102.3999423, -103.4124281, -102.7854551, -103.6223164, -105.2772605, 
##     -105.4255896, -103.3928719, -105.0518419, -106.1249949, -104.0210261, 
##     -103.6208797, -105.5570548, -106.6680482, -106.3458771, -105.5795676, 
##     -104.4854974, -107.3537592, -106.4275231, -108.0163561, -106.1473606, 
##     -106, -107.2154262, -107.1898841, -108.6816315, -107.0127435, 
##     -107.8157899, -106.5406644, -106.6680482, -105.2772605, -106.8919532, 
##     -108.2800824, -107.5850994, -107.3158256, -107.1680909, -108.0782419, 
##     -108.6378097, -108.8505631, -108.2781051, -109.2140275, -109.0298854, 
##     -109.1034239, -108.1075389, -106.2273586, -106.6866419, -108.2538558, 
##     -108.9773093, -105.5852964, -106.6131489, -110.3352384, -106.4916797, 
##     -108.1499233, -108.4564077, -108.0075643, -108.2800824, -108.5765426, 
##     -108.3518154, -108.1143367, -107.9287044, -106.1854133, -109.4189783, 
##     -108.5, -105.1656707, -104.5151574, -106.4916797, -108.4873081, 
##     -108.0404905, -107.4293048, -107.6322516, -108.4552447, -107.6910825, 
##     -107.4022913, -107.9410131, -105.3323841, -103.7266722, -111.9013425, 
##     -110.9176263, -104.7518005, -108.6705069, -111.3364752, -107.0024464, 
##     -106.2683489, -105.3, -108.1455156, -106.8202656, -108.6814347, 
##     -108.3380469, -107.2933501, -109.7464094, -111.2672726, -109.2037805, 
##     -33.55544843, -11.57282059, 24.31608692, 35.5602583, 87.60580506, 
##     44.29110441, 96.23773749, 117.1777597, 131.3557789, 140.5872415, 
##     125.9812909, 141.5298753, 126.4518958, 131.8295186, 145.1367401, 
##     101.7066646, 95.47826503, 114.9161562, 110.9932321, 90.64314421, 
##     110.2345014, 141.8146998, 137.3400767, 118.9, -110.7397715, 
##     -107.0931028, -109.3317503, -107.2187004, -106.1640272, -107.710041, 
##     -111.751865, -109.2112228, -110.3627761, -109.4591124, -109.0208493, 
##     -109.5437313, -109.9882499, -109.2566565, -107.753305, -107.8335559, 
##     -111.5845975, -108.5811574, -111.6335099, -116.2599583, -104.7665151, 
##     -103.5, -103.951041, -110.0761613, -109.0650268, -104.4593747, 
##     -101.3938897, -103.878763, -106.2474791, -109.6893785, -111.8984711, 
##     -112.9989245, -112.2825854, -109.986894, -108.6384194, -109.9352785, 
##     -110.3032287, -107.276331, -107.0565526, -110.1312207, -110.6874501, 
##     -110.5204425, -104.7003099, -102.9, -100.478561, -101.5326415, 
##     -100.183069, -100.6151815, -99.25498169, -99.18268479, -98.22655858, 
##     -96.71553446, -99.31069335, -100.0698568, -99.71231366, -99.8265331, 
##     -100.3548798, -98.45168924, -98.74954364, -99.08127712, -100.6000322, 
##     -99.33670648, -104.1818837, -104.6531454, -106.3983704, -107.3303696, 
##     -107.8157899, -107.7347051, -109.1605864, -109.9472162, -111.388981, 
##     -112.6377117, -112.2491829, -113.5464441, -111.9604963, -110.4642616, 
##     -109.5101108, -110.2192688, -111.4498773, -110.0536215, -109.8642362, 
##     -109.9182668, -110.2399569, -109.6796539, -110.9546263, -111.4836081, 
##     -111.248548, -110.1003956, -109.654777, -110.5382877, -112.5091817, 
##     -113.7206451, -112.4751764, -110.5690553, -109.7218416, -106.8082098, 
##     -99.64510513, -105.1807336, -113.403993, -108.4317904, -103.3404062, 
##     -102.5269914, -102.4299316, -100.2191532, -101.6726851, -95.01141322, 
##     -90.75640541, -106.2086459, -104, -105.5342876, -105.6085932, 
##     -103.5559907, -103.9379596, -103.1984197, -102.8167888, -101.7017729, 
##     -103.5559907, -103.0331162, -102.8293496, -103.4374738, -100.9942159, 
##     -98.14077295, -100.283825, -101.8737141, -100.7421247, -100.7443985, 
##     -101.2108289, -100.4573422, -105.8276641, -107.6000477, -97.42333446, 
##     -97.89952775, -97.1828541, -98.08692939, -105.6438675, -104.6665546, 
##     -105.5235665, -105.0614223, -102.5623188, -111.7467344, -106.3578908, 
##     -104.1984414, -103.721271, -107.2558156, -110.0863309, -106.3186545, 
##     -107.0484603, -105.8757766, -105.3706361, -105.9195965, -104.9, 
##     -103.7755972, -101.6244522, -100.3597849, -99.88546152, -99.99029897, 
##     -107.2918562, -106.0687534, -103.8704588, -102.3131531, -103.430599, 
##     -102.8450407, -103.7039393, -103.33416, -101.6952404, -96.4502996, 
##     -97.7171155, -97.0124989, -97.80043915, -98.39109934, -100.1715255, 
##     -102.8828216, -104.6960804, -103.7526473, -98.57837909, -96.46235142, 
##     -96.36786473, -97.51773968, -102.2196328, -101.7331499, -100.2164044, 
##     -100.9374447, -100.2296369, -101.4733239, -102.0610327, -102.6597488, 
##     -103.5506514, -101.6262007, -101.7788824, -101.4074413, -102.3463231, 
##     -101.7688881, -101.7978897, -104.9469983, -105.5510208, -104.296059, 
##     -103.1281697, -102.8764677, -103.3075432, -103.8633417, -101.3830243, 
##     -100.8688722, -99.43107683, -101.038023, -103.8718291, -107.234926, 
##     -108.6, -106.0776138, -104.1022467, -102.6123883, -101.9716216, 
##     -98.22217355, -93.04170142, -85.8396931, -85.61549747, -86.87625847, 
##     -88.43092958, -91.85109988, -92.92821372, -92.8729447, -90.71740814, 
##     -93.58827941, -93.69288429, -94.3459048, -97.46177614, -93.78273791, 
##     -94.74423626, -94.7990607, -95.94111489, -93.11508854, -90.96573583, 
##     -79.62870205, -87.8607997, -103.0331162, -100.2439748, -95.74925458, 
##     -82.73136064, -83.89626807, -83.4340205, -86.40751948, -90.40943303, 
##     -89.03459715, -86.95695637, -87.27256595, -86.86400372, -86.74165481, 
##     -85.78061013, -92.15990828, -93.25376913, -91.38322827, -90.52660473, 
##     -103.810148, -100.1339495, -97.92905158, -98.10475593, -93.76675623, 
##     -80.62973551, -81.91825232, -87.152379, -84.09608576, -88.63913239, 
##     -90.72517944, -91.01922711, -95.50584793, -93.70090568, -93.92141422, 
##     -91.17496471, -91.63329289, -92.96429524, -88.88287542, -90.72260616, 
##     -93.86960917, -94.07263011, -92.52768381, -92.0255162, -95.29516809, 
##     -92.92224226, -93.67499517, -98.82286942, -101.0543682, -89.4153077, 
##     -92.73875055, -91.79334743, -88.12858364, -93.40080151, -96.09864786, 
##     -90.45147411, -93.38863861, -95.49493103, -94.50267457, -92.15671627, 
##     -88.67874141, -86.1596846, -84.28522666, -87.0378312, -90.4121769, 
##     -92.44710224, -92.19904733, -92.26404644, -87.8007091, -89.43021331, 
##     -87.67038092, -85.16541778, -84.94418995, -86.35559611, -85.7593725, 
##     -87.94470981, -91.92230572, -92.24536946, -88.17988374, -85.16773949, 
##     -96.66299191, -90.91094905, -95.22596284, -81.79946672, -80.75021304, 
##     -86.06758167, -84.10638912, -84.74338167, -88.79826703, -83.68032125, 
##     -88.37279483, -88.74635692, -89.13383311, -88.12434698, -87.85441742, 
##     -85.4998762, -92.7, -90.10991366, -88.1431827, -92.26190711, 
##     -94.16268972, -94.43256329, -93.29005919, -93.40560644, -93.19285583, 
##     -93.11443381, -94.98523113, -94.4728161, -92.55615782, -94.00006662, 
##     -91.7132866, -92.95249991, -93.75316707, -95.18847267, -90.86412351, 
##     -92.60764574, -94.04918368, -94.47631594, -96.21959793, -95, 
##     -96.75883719, -94.17678728, -94.34247166, -103.025755, -90.60021888, 
##     -91.34862665, -90.04808674, -95.46687082, -92.16017941, -89.64469455, 
##     -95.62387744, -98.62367174, -94.9922753, -84.88313827, -89.21343613, 
##     -90.49452004, -90.59812107, -89.49429453, -88.17988374, -91.71132267, 
##     -89.02696941, -84.54250726, -83.18125965, -86.45931024, -89.39911642, 
##     -88.43356684, -92.20449299, -89.78216298, -85.82156901, -92.31089691, 
##     -94.81427749, -93.41227535, -98.66177964, -99.15440336, -96.2048485, 
##     -91.84204722, -87.22390649, -88.74635692, -84.68195834, -85.7267235, 
##     -93.90913732, -98.1, -92.48165513, -92.20768693, -101.9770067, 
##     -95.99945811, -93.78172694, -102.2255507, -95.63256903, -95.49853559, 
##     -98.64810912, -97.17804974, -100.0908132, -98.41999763, -98.18178469, 
##     -95.61396066, -96.81153623, -98.8732531, -100.0738658, -101.4910294, 
##     -98.44950628, -100.5401512, -97.2120171, -96.3, -91.74408109, 
##     -96.8249225, -91.67191148, -94.11511441, -93.15806444, -95.91961768, 
##     -94.05599331, -92.10944901, -102.0542442, -97.47097431, -93.70452314, 
##     -98.95624674, -86.72513811, -94.42447119, -96.18447285, -85.04398405, 
##     -90.22629003, -95.32502379, -87.01065103, -83.93489455, -84.10488649, 
##     -87.95850777, -99.52866448, -82.80397115, -83.83588548, -87.0200869, 
##     -92.84073857, -89.35007423, -89.58700706, -89.10696514, -86.75981179, 
##     -95.36813374, -92.65554587, -88.79635925, -92.41272975, -92.91947363, 
##     -93.34676575, -97.14642522, -100.4157486, -101.3233864, -92.44710224, 
##     -89.38865831, -87.83505355, -87.82031428, -91.42321744, -90.89063367, 
##     -90.10991366, -89.12777767, -86.47991217, -86.0130008, -89.42413049, 
##     -93.33599615, -95.71552689, -96.95078256, -93.75522082, -94.43119602, 
##     -96.96924156, -95.71952022, -96.76491296, -99.40567423, -99.5436828, 
##     -98.806776, -97.26851423, -99.52070301, -95.28942481, -97.65870396, 
##     -98.70095844, -96.23797141, -97.24479445, -98.76400248, -98.14220673, 
##     -96.92343311, -99.85403959, -99.57861817, -101.7997484, -102.2169278, 
##     -100.5124799, -97.97634295, -91.42806141, -90.22143166, -88.97130303, 
##     -93.06022523, -95.60921196, -93.20686764, -97.55593039, -96.84853599, 
##     -101.9369321, -96.84601667, -100.2566881, -100.3399695, -96.15617972, 
##     -101.8536776, -97.90714654, -89.02525634, -92.6, -96.80781827, 
##     -93.61776659, -106.0521468, -102.3691825, -96.10716961, -95.36322687, 
##     -87.98104226, -93.48529326, -94.37307009, -98.6445768, -99.09127106, 
##     -100.6853685, -99.52968322, -94.83076677, -92.4753933, -91.91662678, 
##     -92.52292867, -91.56159466, -92.65193293, -93.98349824, -91.41448346, 
##     -89.47616545, -90.3, -99.28662472, -92.30283576, -92.70869624, 
##     -103.2568832, -117.0322927, -94.7421968, -91.48942808, -95.56637848, 
##     -90.04881627, -84.52548233, -89.08371605, -83.50544153, -84.86952124, 
##     -87.516736, -83.29277554, -82.39116898, -94.3995181, -98.92510564, 
##     -95.84431711, -91.72339686, -92.66005184, -89.11673362, -87.93403137, 
##     -86.59751812, -90.01376822, -91.953479, -94.21979736, -92.81966721, 
##     -95.48276937, -93.00112255, -92.19892402, -94.20164831, -92.19892402, 
##     -92.51262614, -91.91419014, -91.68940403, -92.67113226, -91.52750918, 
##     -97.68997672, -96.43278983, -93.74013525, -95.3863451, -92.35989322, 
##     -89.36617555, -90.7264065, -90.12646248, -101.4807336, -100.849897, 
##     -96.96912872, -91.46100387, -89.07609795, -89.47297015, -90.72286652, 
##     -83.88676188, -84.71731966, -89.33717427, -85.52543652, -92.07723024, 
##     -93.14072511, -94.83638808, -94.4238186, -90.20526662, -90.05050214, 
##     -92.21507455, -87.76823248, -94.19075328, -87.99987969, -89.43380223, 
##     -98.07646068, -95.83900122, -96.6547134, -95.81002711, -93.65096538, 
##     -95.4, -90.97652519, -87.35324099, -94.54433425, -94.16581746, 
##     -92.59650605, -92.68910503, -93.55213928, -95.18847267, -95.66805831, 
##     -92.89554311, -93.9403607, -95.61389553, -97.1602441, -97.29924466, 
##     -95.25610708, -94.2369453, -98.23422358, -95.12780622, -92.9485428, 
##     -93.06023969, -94.09894223, -91.73595875, -89.93400463, -95.41966696, 
##     -92.75757266, -91.53916933, -94.12426501, -93.33346568, -92.98405275, 
##     -87.88438966, -93.38064923, -95.58172313, -92.51136326, -97.93573107, 
##     -93.01502922, -95.73038562, -88.87514004, -90.21898802, -89.33880474, 
##     -86.68937467, -90.32025295, -93.97788082, -93.18977965, -91.5826557, 
##     -88.20690864, -91.73067807, -88.08723695, -82.80775683, -94.83076677, 
##     -98.02537886, -98.78234694, -97.38026798, -96.15611101, -94.3, 
##     -89.44819309, -90.54222276, -90.35716126, -90.17932788, -90.41729747, 
##     -90.8947286, -93.79957142, -92.19665158, -93.26836084, -94.20269562, 
##     -93.54803328, -90.51298909, -93.50208738, -94.11672341, -86.97546039, 
##     -84.81684707, -84.54761537, -84.56720678, -88.68325037, -91.40998679, 
##     -91.8146668, -90.2926353, -92.34150175, -91.22952876, -89.98615899, 
##     -92.45347341, -89.45724133, -88.42774809, -94.28717074, -86.70486454, 
##     -94.2601641, -85.10112017, -89.58796479, -96.4, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.3, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.3, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, -41.76527692, 
##     -49.95398473, -48.94373347, -52.51650313, -54.01745703, -91.67229165, 
##     -78.32163383, -76.87968291, -19.51275679, -48.68098289, -51.47099871, 
##     -70.72669056, -74.05569335, -76.54235728, -68.121883, -77.85486341, 
##     -39.44832955, -60.22873461, -20.50280673, 9.774557973, 18.92722319, 
##     -61.07259644, -95.05468408, -82.24182793, -93.09384561, -26.21529333, 
##     -71.02785744, -16.24033701, -79.30126709, -75.25277764, 27.54335248, 
##     -44.4275573, -33.32178506, -27.72603513, -3.003305536, -7.654664214, 
##     -19.48551946, -3.61393348, 15.09012541, 25.42639429, 30.29604096, 
##     17.34816123, 11.71310579, -30.62773692, 3.375477493, 3.567638645, 
##     11.65110628, 0, 18.36040103, -5.958438422, -15.1525554, -4.575489843, 
##     -28.65131569, -46.15853882, 4.934638688, 14.45070227, 23.79411248, 
##     31.71831167, 14.51823328, 56.94439972, 41.32738085, 45.16334411, 
##     50.82672462, 10.99858738, 22.84370018, -20.65411303, -14.70894042, 
##     16.05611392, 18.10582255, -3.659625492, 0, -2.369783602, 
##     22.14994076, 20.41502199, 7.907764047, 8.522879853, -6.270961867, 
##     -3.129332416, -1.487959054, 1.386661607, 6.063096156, 11.88240883, 
##     5.484544836, 7.576001424, 14.89530225, 21.18869862, 23.6171527, 
##     10.5540069, 58.58131874, 29.75698609, -120.3622493, 33.6, 
##     29.84989316, 133.4901446, 0, -48.61853923, -62.90148024, 
##     97.92105255, -53.40450514, -26.06023917, 6.656816378, -8.815924263, 
##     -29.18661996, -49.69324908, -27.43426048, 13.15600202, 0, 
##     0, -3.84142156, 3.662078599, 15.81583863, 7.889285443, 43.12864637, 
##     17.36450116, 34.89185573, 50.70985044, 36.61865602, 78.53981634, 
##     0, 4.215746149, 18.73934092, 10.60498962, 9.671159884, 30.06848912, 
##     39.65557123, 54.01439777, 48.36239426, 42.05343353, 49.95398473, 
##     83.29812667, 72.3597087, 95.53166181, 95.82415885, 121.4062938, 
##     69.39805949, 103.0376827, 75.59694104, 72.97276562, 72.97276562, 
##     44.65866338, -9.318321588, 2.807541887, 0, 0, -13.5, 38.52379836, 
##     27.5062656, 42.31676857, 18.92722319, 63.2748835, 51.56827972, 
##     61.89968123, 106.5669304, 47.77705175, 69.64950836, 123.0959417, 
##     89.60553846, 70.38403995, 57.40953425, 44.18393564, 20.7776004, 
##     26.21529333, 18.70406732, -7.126218525, -8.665688085, 9.857312232, 
##     11.53426492, 15.1140455, 13.05595099, 91.56886325, 94.09567928, 
##     78.53981634, 137.1449119, 119.4361455, 142.8899272, 137.3400767, 
##     119.028995, 90.18322525, 27.50164027, 16.48989946, 3.529656223, 
##     9.459841772, 10.2165963, 15.44652858, 19.76822609, 9.433940562, 
##     -1.367725876, 10.56330551, 16.1284652, 10.56381714, 27.59514246, 
##     18.83887913, 27.25425413, 21.77854416, 37.55804878, 28.4787868, 
##     27.45669384, 37.8348662, 44.29110441, 62.31720793, 59.71766581, 
##     42.8, 41.32738085, 81.85454667, 66.97192604, 67.98734452, 
##     72.3597087, 33.59754482, 64.35011088, 63.68119842, 72.97276562, 
##     71.99944154, 42.91596531, -13.05595099, 8.223049216, 10.71433287, 
##     58.51743969, 7.957682308, 43.40430532, 68.24626405, 41.67824656, 
##     40.76915718, 104.3640934, 100.9655901, 52.76551672, 10.94720798, 
##     13.67454111, 12.5, 18.4815979, 23.44488992, 23.0368895, 15.02826838, 
##     15.97268651, -8.96775766, 4.337815893, 19.62093233, 18.47757291, 
##     37.85357413, 40.42893136, 37.35019714, 41.41329899, 59.050429, 
##     61.95208958, 83.46464016, 91.1458269, 86.05102901, 54.47056974, 
##     71.46929526, 97.64543658, -23.71497396, -17.5333922, 6.95083567, 
##     35.79028572, 45.28218594, 44.19265485, 38.09848805, 41.38449293, 
##     46.54540004, 67.54926951, 49.22806478, 73.39929792, 74.83271723, 
##     51.10386822, 62.44205673, 103.8324945, 113.3152926, 122.7772386, 
##     87.60580506, 136.5400938, 128.4386068, 112.7885283, 84.03029591, 
##     78.45346051, 81.65386233, 81.48269164, 57.89590247, 27.48085514, 
##     29.9, 59.56943058, 36.26867051, 36.79595843, 54.29962759, 
##     53.69041085, 58.72916607, 49.605962, 29.58324161, 28.73481469, 
##     32.12885893, 21.56641542, 16.98462881, 69.71356057, 87.48802933, 
##     48.19676571, 30.33854175, 28.46566951, 64.05223127, 98.84417733, 
##     119.028995, 110.7, 114.9687462, 110.5155684, 109.4914077, 
##     86.03916679, 86.85142407, 110.7148718, 58.01518746, 49.69324908, 
##     69.38329071, 48.61853923, 38.94093881, 35.67064989, 47.14587347, 
##     18.38948489, 8.139334043, 23.76323703, 17.65442194, 47.3472717, 
##     60.04706192, 56.29495957, 58.99150563, 68.21579534, 60.20595264, 
##     56.88604586, 79.25892071, 90.4325682, 76.96362406, 70.5456015, 
##     110.8, 100.4067109, 95.53166181, 118.439248, 152.0837931, 
##     106.3871151, 121.4467236, 125.4054429, 133.7053146, 114.8204879, 
##     74.48130711, 57.37231503, 51.91656514, 54.88096192, 111.3838051, 
##     78.25446286, 48.97268095, 46.11981114, 19.18675615, 50.64446434, 
##     64.70816296, 41.42102401, 34.92497593, 72.29257146, 37.01341946, 
##     55.5960512, 49.56972872, 35.5602583, 15.98472773, 43.34254326, 
##     58.51743969, 39.55733415, 40.69601136, 7.792874591, 117.1777597, 
##     0, 146.47166, 127.4833405, 82.07435792, 74.85873359, 62.94025007, 
##     46.25404941, 36.99081442, 33.11619606, 33.21518753, 22.65056892, 
##     26.03702718, 20.43590562, 16.17006408, 21.32237538, 30.97314822, 
##     36.65648156, 39.89288949, 36.23538649, 43.21504453, 43.5178167, 
##     47, 26.81366832, 25.56195772, 5.845390622, 19.84726898, 10.16514845, 
##     16.29414786, -6.968745303, -5.793656772, -4.55645165, -21.89308537, 
##     30.90086266, 51.446346, 29.34334446, 24.95997073, 0, -16.98462881, 
##     -4.15705538, 18.36040103, -22.50559703, -29.56751395, -12.52049767, 
##     -7.015750298, 16.03030484, -3.588249978, -9.275909134, -5.256489714, 
##     -10.24410769, -2.660603502, 0, 6.510599022, 6.316142761, 
##     -5.54132321, -3.145546018, -6.510599022, 3.051864711, 6.325613055, 
##     6.432678883, 3.12856658, 0, 0, 0, 0, 0, 0, 6.439343737, -6.935147195, 
##     0, -6.63845604, -3.185187333, -3.185187333, 0, -6.363924738, 
##     -6.758664505, -9.642393023, -6.469594045, -13.05595099, -21.33475278, 
##     -11.97555768, -6.07270306, 0, -3.78596019, 0, -6.181957436, 
##     -3.223012935, -7.015750298, -6.972979491, -15.61261025, -15.08497356, 
##     -17.45982231, -27.25528745, -12.70225748, -4.104201821, 4.575489843, 
##     -3.258752802, -12.31702211, -18.37761923, -19.48551946, -18.99854887, 
##     -22.40052115, -33.2, -29.17591745, -25.09060767, -16.1752866, 
##     -21.96600719, -20.50280673, -28.1717148, -21.20387817, -29.43933319, 
##     -34.28838604, 59.53180927, 27.70148162, 21.60849723, 127.1874299, 
##     139.1417431, 116.4012181, 123.7075443, 134.8647323, 108.1486154, 
##     96.06519233, 96.73628494, 84.67324395, 78.5, 72.11060433, 
##     70.23029641, 62.56676066, 50.0298311, 53.79191034, 51.7400766, 
##     48.806713, 46.96210441, 42.78315698, 47.52889447, 45.06615686, 
##     40.09867787, 42.17337521, 60.01556263, 61.34570022, 66.71522898, 
##     65.63381708, 82.86045926, 78.47942175, 87.62588612, 79.14711872, 
##     79.10005215, 118.554255, -31.71831167, -55.67377182, -53.46154333, 
##     -41.79788045, -70.78209644, -52.65697294, -33.71105153, -9.557851156, 
##     -19.62923551, -78.22925534, -64.83344378, -60.63127125, -75.59694104, 
##     -96.45303579, -72.98216077, -70.3084993, -61.09971853, -56.23806337, 
##     -60.12830377, -63.36422121, -24.7, -21.09888812, -9.495170634, 
##     44.7654846, 61.51852955, 76.04471916, 112.1566029, 154.2232669, 
##     135.3502896, 134.9498206, 134.135087, -83.63138485, -85.02984031, 
##     -85.7539941, -85.06829633, -85.27536104, -85.32594944, -85.17082548, 
##     -84.53234709, -83.66098507, -85.06829633, -85.1, -85.59712517, 
##     -84.40208004, -84.31116907, -85.14056985, -85.64755826, -85.5828511, 
##     -84.83468298, -84.78957188, -83.66582968, -85.11632096, -85.59712517, 
##     -84.84741128, -84.49331471, -83.90666235, -83.90666235, -83.86549534, 
##     -85.03073953, -85.20372879, -84.92183136, -84.38855575, -84.55230493, 
##     -84.77710526, -84.50336616, -84.7, -84.55230493, -84.7786109, 
##     -84.04782495, -84.22130636, -85.26011275, -85.56227901, -85.20372879, 
##     -84.53832379, -84.24349023, -85.2515186, -84.98193356, -84.49331471, 
##     -83.5144489, -84.66407981, -83.85897405, -83.63138485, -84.04782495, 
##     -85.15486128, -85.20372879, -85.2259064, -84.2585609, -84.57959477, 
##     -84.92183136, -85.17566257, -84.3201191, -83.85595156, -84, 
##     -84.71439607, -85.05557527, -84.29744964, -85.2259064, -85.34540137, 
##     -84.54350819, -84.76654886, -85.23999005, -85.36227123, -84.65017571, 
##     -84.61267794, -84.17805347, -84.80884445, -84.78320269, -84.79730258, 
##     -84.3503066, -84.48075577, -85.83410587, -85.88165744, -84.55563576, 
##     -85.26011275, -84.95354408, -84.29684165, -85.16329697, -85.01920423, 
##     -85.59712517, -85.23999005, -85.44559111, -84.83468298, -85.49404645, 
##     -85.2515186, -85.3, -84.81927657, -84.28872812, -84.77237436, 
##     -86.09805146, -86.11416399, -86.11416399, -85.9249289, -85.9249289, 
##     -84.87117148, -84.29744964, -84.32239937, -84.50336616, -84.27112638, 
##     -84.93437656, -85.4289664, -85.00511234, -85.05557527, -83.93992404, 
##     -85.46334511, -85.50018364, -85.11632096, -84.54357152, -84.2585609, 
##     -83.8517623, -85.15731616, -85.73572117, -84.48075577, -84.6692361, 
##     -85.00511234, -85.44559111, -85.00511234, -84.52203854, -84.49331471, 
##     -84.98846794, -85.56599161, -85.37802031, -84.88506788, -85.80231581, 
##     -84.10012316, -84.0201749, -84.93437656, -84.35012665, -84.2187679, 
##     -85.10495224, -84.65017571, -85.17535587, -84.96902548, -84.49331471, 
##     -84.36168106, -84.03525314, -84.81941709, -85.4610394, -85.5492033, 
##     -84.03525314, -84.85475785, -84.78320269, -84.83468298, -84.50336616, 
##     -84.38955393, -84.38955393, -85.06829633, -85.41151234, -84.96902548, 
##     -83.64098749, -84.08888717, -84.08888717, -84.98193356, -84.33113736, 
##     -84.28872812, -85.56227901, -84.79730258, -84.68678915, -84.96902548, 
##     -85.7539941, -84.12483976, -84.14539505, -83.4883848, -82.59403442, 
##     -84.04782495, -85.34540137, -85.20927171, -85.97334935, -84.40229609, 
##     -83.88548352, -83.8410235, -84.91488012, -84.98846794, -85.07088856, 
##     -84.66407981, -84.0201749, -84.31933965, -83.88642006, -84.05020513, 
##     -84.71979699, -83.80152389, -82.9047822, -85.10422636, -84.56017116, 
##     -84.07050065, -83.60792961, -83.76896703, -83.99443168, -84.18840915, 
##     -84.63375302, -85.10422636, -85.3882458, -86.20724499, -85.7, 
##     -82.97377867, -81.21684114, -82.3996562, -83.81683784, -83.69811501, 
##     -84.28133478, -82.88744714, -84.05672678, -84.15182187, -83.42660936, 
##     -83.67083646, -83.71340561, -83.26970316, -83.73638036, -83.21221804, 
##     -82.62449864, -83.65223425, -83.71296329, -79.91215415, -84.11886048, 
##     -83.87673682, -82.68429627, -76.78922951, -79.34182656, -79.92346463, 
##     -81.29642924, -76.8, -79.37789971, -74.4636981, -77.64896564, 
##     -75.28391852, -80.52853408, -84.18840915, -84.54598805, -84.18776599, 
##     -81.54052555, -80.42650024, -80.21552545, -75.27857251, -77.38774276, 
##     -78.36680934, -79.30917791, -78.79039083, -79.25333393, -80.71362161, 
##     -80.99392024, -79.20967379, -70.5170731, -68.39718266, -71.54348347, 
##     -80.83894298, -81.55460485, -81.01079865, -77.36128369, -77.4102856, 
##     -70.3, -75.7750174, -76.33687335, -76.37276827, -78.39531086, 
##     -77.79841896, -77.53894886, -77.04026167, -75.28820181, -76.56427536, 
##     -81.29217702, -78.80257415, -78.13912279, -78.58793844, -78.13819888, 
##     -75.32998185, -76.69312762, -77.67143572, -76.88491295, -76.82910896, 
##     -76.3598141, -76.38426654, -75.17201215, -76.89636576, -76.79847984, 
##     -76.47530076, -76.40151248, -76.9, -77.0945003, -78.15200507, 
##     -77.77716489, -76.76882499, -77.40210261, -77.13171097, -77.2498166, 
##     -77.2607487, -78.01574052, -78.2614331, -77.49666323, -73.00825899, 
##     -81.30182861, -80.44732049, -80.03226157, -76.21598829, -75.1431627, 
##     -77.74509846, -78.99968363, -78.7279813, -77.09268428, -75.28069785, 
##     -76.50209415, -77.11101577, -76.99014749, -76.56152009, -76.38775895, 
##     -76.21137013, -75.961045, -76.74091047, -76.08900279, -76.26614446, 
##     -76.97619979, -77.6618463, -77.40210261, -77.2607487, -76.58357364, 
##     -77.38689018, -76.54927666, -77.13171097, -76.69138967, -77.6618463, 
##     -77.22423615, -76.86887083, -76.60264015, -77.73068893, -76.38775895, 
##     -77.49666323, -76.88491295, -76.99014749, -76.51405436, -76.03511764, 
##     -76.31386971, -76.66215657, -76.69138967, -77.1540424, -76.89867168, 
##     -78.39531086, -73.35548952, -75.13613392, -77.81112582, -81.54154771, 
##     -80.40429639, -76.03941457, -74.98485763, -75.26265043, -76.28158307, 
##     -77.78667402, -76.8, -17.91900221, -22.21490035, -24.78262685, 
##     -22.1036561, -18.65987064, -12.19903028, -13.0195908, -14.94431378, 
##     -12.30665393, 6.109741718, 0, -2.239616868, 10.03690358, 
##     8.856890675, 2.025409502, 34.15078133, 30.29309422, 15.67763488, 
##     19.61515343, 44.44947497, 28.35610634, 47.92982311, 70.52298543, 
##     53.49230177, 51.92557349, 76.89418104, 17.88438841, 29.38865923, 
##     21.84600952, 27.27429568, 46.33520352, 109.5158611, 30.68657552, 
##     51.48059551, 29.30943552, 16.45884779, 31.36206522, 32.08666399, 
##     35.12068411, 28.34560571, 47.51768495, 41.93981197, 47.48033857, 
##     45.92123652, 45.99729535, 32.17505544, 61.18300867, 45.40771437, 
##     53.19075923, 121.2025657, 80.24955122, 49.27110053, 131.8589368, 
##     72.71626112, 82.24182793, 102.8849017, 69.82661705, 86.54498658, 
##     93.97495238, 94.9484653, 103.8493123, 119.4953573, 85.07051071, 
##     134.8647323, 131.911866, 86.05102901, 82.59832557, 91.56886325, 
##     20.65411303, 46.2868337, 46.2868337, 46.2868337, 46.2868337, 
##     59.86733817, 31.91166202, 33.06070113, -14.26974268, -10.21215585, 
##     -5.921759951, -9.759998594, -12.70225748, -27.19050566, -69.21206207, 
##     -20.6269692, -18.22174907, -11.38233312, 9.187133712, 7.448970869, 
##     0, -2.202372516, 21.68105598, 11.76668142, 5.194076469, 22.20941993, 
##     28.9873469, 32.72106737, 42.45966025, 39.2046409, 51.34177325, 
##     60.00502134, 60.1, 55.31117825, 66.10431689, 58.98043737, 
##     66.5196055, 70.83177847, 62.85527607, 51.29405693, 71.77689096, 
##     65.05308623, 31.95691074, 65.55015443, 49.31831267, 41.80812189, 
##     32.66521045, 29.0253286, 135.2127381, 84.67168008, 59.13134725, 
##     44.60811499, 36.32719259, 85.47906742, 114.9161562, 65.20134293, 
##     103.5593749, 75.40279587, 73.32319057, 78.33405444, 73.32319057, 
##     78.79622772, 80.70655942, 59.35502637, 44.8723344, 53.02157728, 
##     58.6979672, 73.73014242, 99.94820534, 100.3345852, 126.4022095, 
##     128.4744885, 110.7148718, 117.8071737, 107.76132, 32.10859547, 
##     44.7654846, 38.51010006, 17.3499745, -11.04882324, -42.05343353, 
##     -43.40430532, -60.62659689, -50.64446434, -7.218974029, -4.419777642, 
##     -10.50214329, -3.007377204, 9.328452139, 25.20372218, 45.89854792, 
##     10.48769387, 48.40626684, 68.41529123, 44.18393564, 55.77721332, 
##     59.65049178, 68.99828427, 71.84497298, 63.14283896, 37.80477038, 
##     83.24762404, 15.47161531, 112.8422104, 34.07957699, 43.59128869, 
##     56.23229055, 43.88152366, 76.3860403, 99.25155968, 69.75544112, 
##     98.90501313, 69.30370621, 48.05001288, 135.0808349, 150.4228163, 
##     84.67168008, 72.72865241, 76.2396363, 73.31941878, 94.17815244, 
##     113.0044707, 91.207191, 87.70635986, 71.02785744, 89.43668337, 
##     47.9519292, 48.08872802, 68.90187414, 63.46170476, 61.28848075, 
##     76.36915264, 99.37067263, 117.6620135, 120.7498453, 114.6484771, 
##     75.2232638, 35.84856227, 39.2046409, 34.53009053, 15.75438074, 
##     3.92031311, -10.50214329, -25.33282374, -88.5353386, -64.51915455, 
##     -15.5264941, -6.302190554, -11.38233312, 0, -33.83853107, 
##     -18.96500867, 6.623876652, 27.67957719, 42.09951903, 41.94360681, 
##     51.01476181, 62.68400078, 34.09789535, 57.77239418, 83.53565591, 
##     70.38780601, 67.75879711, 101.5442213, 64.26694211, 108.4265011, 
##     118.3479726, 65.55015443, 94.3910502, 63.14283896, 81.24186126, 
##     143.6915003, 108.3180084, 83.82798056, 70.18925018, 77.41752759, 
##     -5.845390622, 10.30208104, 8.078667593, 63.17852861, 58.00027742, 
##     113.3152926, 118.9557614, 94.09832589, 119.7808605, 121.289025, 
##     77.72677238, 91.207191, 115.8846682, 102.0047732, 92.13601088, 
##     84.23581887, 72.7, 63.62407013, 77.85486341, 123.7089479, 
##     88.03498697, 113.3088627, 112.3961375, 127.8915177, 70.36389513, 
##     43.5249907, 81.68654726, 66.59692374, 20.65411303, 19.73955598, 
##     12.34044667, -71.99944154, -107.2626643, -94.09567928, -43.76293806, 
##     -49.80011239, -48.9074671, -82.19386172, -77.13400864, 50.82672462, 
##     53.76832531, 41.16246505, 46.10077095, 86.71573755, 74.91344953, 
##     36.58796695, 71.38159044, 80.5033695, 97.99235766, 98.27937232, 
##     76.16311148, 38.57869316, -15.68156853, 5.005217533, 21.02733329, 
##     46.76932466, 46.08379352, 29.13040096, 48.19676571, 114.9161562, 
##     66.3587909, 60.51988106, 46.61367381, 66.59692374, 93.02740141, 
##     137.1449119, 68.52237844, 95.33753446, 101.9018776, 119.6480073, 
##     125.7521856, 126.4518958, 118.6459167, 112.7959729, 71.88299996, 
##     128.009583, 136.3020323, 131.3131055, 150.8377517, 107.76132, 
##     100.1261527, 65.40734103, 100.6853685, 54.50675432, 0, 50.64446434, 
##     -29.80012196, -43.58712269, -105.5990372, -95.5, -39.10154423, 
##     -55.85993153, -4.995839572, 42.26202329, 22.7695452, 17.96719569, 
##     89.43668337, 36.69262657, 89.06514022, 11.65110628, 72.52975467, 
##     64.68081575, 78.53981634, 49.39413689, 87.57508482, 105.5990372, 
##     -43.78564991, 77.19285208, 46.16605154, 39.23485464, 17.01191643, 
##     56.39426414, 61.9713941, 125.7521856, 122.2025323, 56.06886806, 
##     23.58141253, 92.13721941, -30.23303463, 46.11880703, 37.64348721, 
##     17.36450116, 30.43942023, 100.6853685, 89.60553846, 109.9258572, 
##     50.68075849, 41.5952087, 47.09144861, 39.97513465, 44.95270274, 
##     91.51007006, 94.12426501, 90.97531579, 42.05343353, 51, 49.69324908, 
##     9.549131716, 31.91166202, 24.17746801, 21.73733646, -18.36040103, 
##     -82.09653415, -85.29796366, -79.73993157, -82.55256135, -102.6481678, 
##     -90.18322525, -58.42246909, -87.62588612, 0, -14.59966951, 
##     62.68400078, 49.69324908, 62.47054648, 8.920534355, 99.2652208, 
##     72.97276562, 65.28901755, 97.52414434, 46.16605154, 59.08727501, 
##     116.6, 119.028995, 11.19595932, 72.97276562, 55.03391826, 
##     54.50675432, 44.46412465, 56.48668793, 100.2280531, 97.83217097, 
##     102.9696801, 96.87234065, 94.12426501, 99.5910388, 114.9161562, 
##     113.0285664, 93.02740141, 82.24182793, 61.38494879, 36.61865602, 
##     86.18866204, 52.50481935, 44.26692319, 126.7911458, 148.7655095, 
##     149.9488862, 133.2178616, 94.6, 92.15198152, 47.3069797, 
##     34.64156841, 60.15444128, 78.23306595, 60.15444128, 8.546191389, 
##     33.04226479, 13.02822043, -32.36185653, -27.56427992, -110.5080098, 
##     -120.0361223, -30.43003069, -39.35641353, 110.1646451, 119.4361455, 
##     108.574654, 105.5781195, 108.3897095, 104.8304294, 90.71094181, 
##     68.0045169, 102.431356, 96.26864701, 74.98231319, 110.7841599, 
##     95.05468408, 100.6853685, 60.12642167, 43.29943368, -32.17505544, 
##     13.14021734, -6.642115954, -10.47330393, -16.50080914, -20.79007134, 
##     -69.18485469, -70.5456015, -69.47382762, -110.0612429, -102.823306, 
##     -33.06070113, -39.77814882, -37.78014188, -26.81069273, 26.74347114, 
##     -6.432678883, 0, 11.69084965, 50.70985044, 47.12704235, 26.93688999, 
##     40.44819021, 91.56886325, 46.2264958, 58.27762755, 110.5080098, 
##     138.6882039, 68.89243882, 80.04909986, 82.45579897, 45.52044825, 
##     33.66748194, 52.16056137, 46.21120959, 57.67213659, 48.44145147, 
##     92.07070267, 23.28681783, 79.38019204, 40.0240657, 29.78392402, 
##     70.11855549, 51.94733715, 0, 37.08912888, 89.60553846, 114.7365495, 
##     133.9628475, 132.6225141, 102.3175321, 67.37459091, 82.55256135, 
##     95.53166181, 99.3072385, 64.83344378, 59.79386492, 41.1878013, 
##     66.1067893, 68.93020395, 52.53899404, 77.24284093, 114.9687462, 
##     128.1044625, 137.3400767, 24.3, 126.6300036, 67.96738189, 
##     7.889285443, 19.93472077, 14.04897018, 0, 0, -42.05343353, 
##     -63.97841737, -24.27127104, -24.04042168, -35.52585653, -45.75484394, 
##     -29.12849284, -17.21419925, -13.83754893, -36.11720526, -37.34684378, 
##     -17.88438841, 16.29414786, 4.710557971, 19.57080499, 59.34600576, 
##     69.47382762, 47.78916193, 61.25547383, 111.5535193, 124, 
##     33.62857407, -2.818672664, 92.56335099, 115.4663826, 74.99760053, 
##     109.3288675, 73.27897339, 54.71623736, 91.96865369, 131.3557789, 
##     113.3152926, 86.65094658, 130.0246564, 135.9702994, 0, 124.3116414, 
##     149.4024436, 144.0013693, 137.5668759, 150.0203148, 109.7438865, 
##     151.8213265, 107.8191361, 126.4917455, 121.4062938, 110.7148718, 
##     131.0193935, 137.3400767, 137.3400767, 126.3669908, 129.9849476, 
##     109.7438865, 114.9687462, 123.1503712, 137.5668759, 119.4361455, 
##     143.1941421, 114.9687462, 126.3669908, 148.2637084, 128.4744885, 
##     115.8385885, 104.4214316, 134.5619542, 126.4022095, 122.6116565, 
##     131.8589368, 121.4062938, 131.1596389, 122.7181227, 117.6620135, 
##     122.7772386, 120.7498453, 131.3131055, 116.5904541, 134.8647323, 
##     141.2414925, 115.4663826, 118.554255, 114.4168834, 128.4744885, 
##     136.3020323, 128.4386068, 126.3669908, 127.2297395, 141.2414925, 
##     104.8304294, 129.2496668, 147.6793293, 150.4228163, 130.2547532, 
##     145.3486302, 124.9045772, 131.3131055, 149.4024436, 150.4228163, 
##     140.0457912, 127.9392447, 114.9687462, -72.65752858, -79.14725166, 
##     -78.96389936, -76.28604941, -75.50726301, -73.45046872, -78.29290326, 
##     -79.59729699, -77.215623, -74.96169737, -79.17560195, -80.11790883, 
##     -78.66146806, -77.09734255, -75.80633792, -74.18017884, -72.95569785, 
##     -73.54482974, -76.46050473, -78.82380876, -79.57020996, -79.52267477, 
##     -78.58793844, -77.29331041, -80.47226153, -77.62177639, -73.16973489, 
##     -81.42013464, -80.12036974, -77.84819163, -77.10939875, -75.07715446, 
##     -72.75543319, -73.87809856, -80.34386266, -81.16786759, -80.76327129, 
##     -78.95299649, -76.97002539, -75.15619428, -74.03223094, -74.80586658, 
##     -76.54794906, -78.62164944, -77.59187231, -76.03511764, -76.01705444, 
##     -79.2216237, -76.65068708, -76.08900279, -76.35593596, -77.22423615, 
##     -77.59187231, -76.88491295, -76.88491295, -77.30831631, -76.88491295, 
##     -77.07419587, -77.05383735, -77.41498198, -76.47530076, -76.46050473, 
##     -76.81348133, -76.47530076, -76.65068708, -76.95522401, -76.79469051, 
##     -78.15200507, -77.06149313, -76.79847984, -76.70845423, -75.94988183, 
##     -76.54794906, -76.38736565, -76.63693077, -76.97619979, -76.30003199, 
##     -77.52074793, -76.37172293, -76.88491295, -76.38736565, -76.15183922, 
##     -77.51005906, -75.65273092, -76.26614446, -77.94589762, -76.81348133, 
##     -76.28421196, -76.5321257, -76.70845423, -76.70845423, -77.92436963, 
##     -77.94589762, -77.1540424, -77.4710798, -74.20072245, -74.40265574, 
##     -76.82618205, -79.63498777, -80.11298771, -80.70937323, -76.55912386, 
##     -74.19419299, -77.60131061, -76.88491295, -76.54927666, -75.70087241, 
##     -75.81421099, -76.57697375, -77.33199858, -77.40210261, -77.04648925, 
##     -76.46050473, -76.38775895, -76.56427536, -75.62559724, -76.35340892, 
##     -76.4, -77.33199858, -76.99014749, -77.1540424, -76.28421196, 
##     -76.6208915, -77.16692017, -76.04726688, -76.22616291, -76.65068708, 
##     -76.81348133, -76.21137013, -76.13739201, -76.56427536, -76.70845423, 
##     -76.22616291, -77.32102074, -76.56427536, -77.33199858, -76.74091047, 
##     -76.22616291, -76.46050473, -76.38775895, -76.99014749, -76.65068708, 
##     -76.38775895, -76.99014749, -76.74091047, -76.47530076, -77.31785615, 
##     -77.16692017, -76.99014749, -76.38775895, -76.47530076, -77.23818584, 
##     -74.38118786, -75.94988183, -79.47277686, -75.63305101, -75.4547707, 
##     -77.73068893, -77.82673511, -76.90477936, -77.90751877, -78.43849854, 
##     -76.95993746, -77.51295738, -76.9, -75.72985239, -74.15365842, 
##     -73.39375776, -75.71793167, -75.8803909, -75.94399175, -75.43287448, 
##     -76.07580886, -75.5898689, -74.8303271, -75.22600117, -74.75971725, 
##     -78.91827248, -78.66952711, -78.15221556, -77.91096773, -76.12960284, 
##     -77.80870164, -77.910028, -78.35064859, -80.45761414, -80.09815965, 
##     -74.39628913, -71.65136519, -73.28910816, -76.35340892, -77.99199004, 
##     -77.94589762, -78.22315227, -76.18555239, -76.50605958, -75.70087241, 
##     -75.76086525, -76.84223068, -79.35516977, -79.88260505, -75.08824706, 
##     -73.62207175, -74.43400238, -78.27569484, -79.92220766, -79.00671984, 
##     -77.38689018, -76.47530076, -77.86645492, -77.62554279, -75.47487082, 
##     -76.31360018, -76.16258479, -75.79444926, -75.72430911, -75.6525327, 
##     -75.81421099, -76.40151248, -77.75861772, -80.30216516, -78.77193365, 
##     -75.34797219, -75.84805032, -78.71820332, -78.88925593, -76.72325311, 
##     -76.65655521, -76.7055141, -77.90751877, -77.71673633, -77.14547177, 
##     -77.75163257, -76.82618205, -77.56666221, -77.57706272, -78.33837013, 
##     -76.95522401, -76.60264015, -76.79469051, -77.32102074, -77.38689018, 
##     -76.12960284, -76.03451044, -70.67945241, -71.32528188, -84.64325307, 
##     -85.85942753, -75.3259017, -77.86589627, -78.74286876, -78.05849621, 
##     -80.22396949, -75.89926763, -75.9830071, -77.25075684, -77.3357812, 
##     -77.14547177, -77.64896564, -77.61620869, -76.86887083, -77.46005137, 
##     -78.12093662, -77.07419587, -76.70845423, -76.35593596, -76.7055141, 
##     -76.71890608, -79.0553255, -78.32893023, -78.07264218, -76.69138967, 
##     -76.75923738, -76.4600018, -76.56152009, -76.95522401, -78.05849621, 
##     -77.02918844, -76.88491295, -78.28319865, -79.21816094, -77.77716489, 
##     -78.42344148, -78.0300017, -78.15960105, -78.55195256, -77.57706272, 
##     -77.78667402, -78.00505, -78.68299754, -77.49666323, -76.65068708, 
##     -75.79161706, -76.15183922, -77.16692017, -77.59187231, -78.19998099, 
##     -77.42552465, -76.98255658, -78.97367704, -76.54927666, -77.99199004, 
##     -77.1915237, -77.56666221, -77.01108387, -77.00177661, -77.96025997, 
##     -77.09268428, -77.28466793, -78.7610835, -78.90402479, -78.17075482, 
##     -78.58167906, -77.35322742, -77.60131061, -75.97583416, -76.57697375, 
##     -79.06891701, -80.56492211, -77.62610184, -76.27193901, -76.04291656, 
##     -77.7127439, -76.51837837, -79.42836506, -84.75861423, -74.07908428, 
##     -80.13949583, -66.16183026, -66.68931672, -66.15526709, -68.11684473, 
##     -68.32488409, -71.05924788, -73.45600302, -74.55705192, -73.64154497, 
##     -76.28062405, -73.61857309, -72.41540959, -76.58184907, -78.58195474, 
##     -80.06550466, -75.94640933, -80.2836681, -78.39276899, -77.18509195, 
##     -76.680433, -77.12549229, -79.24170557, -79.71801798, -79.13480322, 
##     -80.38930703, -76.30907304, -76.54396176, -76.21337269, -69.05257725, 
##     -74.04338296, -75.00492055, -83.92459708, -75.74917844, -67.33825051, 
##     -81.6267339, -70.09146957, -71.30272398, -71.55156376, -80.16324754, 
##     -76.85085691, -76.35340892, -77.66909973, -79.41653848, -77.7231823, 
##     -61.5377787, -75.48593462, -89.29076974, -85.41991991, -78.79580881, 
##     -77.30363632, -83.51757865, -79.50954396, -80.92139427, -75.41342776, 
##     -75.07715446, -73.91937991, -75.05114077, -74.20660052, -74.11031841, 
##     -70.10199323, -70.35992548, -72.44506302, -71.51408918, -71.40875408, 
##     -73.43993974, -73.14826304, -74.45829964, -76.38245248, -77.51179197, 
##     -76.87836888, -74.81980381, -74.97857012, -72.89620759, -79.39761163, 
##     -80.70707796, -81.04574935, -77.9228178, -74.24827316, -71.32164167, 
##     -70.30878562, -66.43032086, -76.33669535, -69.05091185, -73.14379109, 
##     -72.41117942, -69.01643414, -83.28071578, -78.83192735, -65.89255847, 
##     -63.59325817, -75.19356477, -78.36126496, -81.81628679, -64.45202833, 
##     -73.43498783, -75.62795393, -74.12351307, -64.13217511, -77.12129294, 
##     -80.83965652, -76.21332762, -77.09510048, -71.47364561, -73.90471661, 
##     -70.45163704, -67.54073489, -71.70607971, -69.13544198, -69.57384911, 
##     -71.498574, -71.20109017, -74.03109004, -74.62040337, -76.35759054, 
##     -73.46824217, -75.89504051, -72.4697949, -77.04738984, -77.64784878, 
##     -74.72301125, -74.94056676, -72.4429267, -72.96105532, -74.03912228, 
##     -69.58217415, -67.85007086, -67.71691684, -76.33403206, -68.24509878, 
##     -72.83650797, -76.41489809, -81.57871422, -89.84976884, -83.1233303, 
##     -75.7, -75.22579559, -67.1960782, -76.00304549, -77.94998944, 
##     -80.16938359, -72.71870658, -65.75721406, -81.713478, -78.0474849, 
##     -77.49700114, -76.69209308, -75.16787403, -79.63417094, -78.87883681, 
##     -77.59276706, -74.54112189, -71.49553015, -68.50339395, -67.8594513, 
##     -67.77318646, -71.01352525, -73.29719271, -75.57255622, -74.30022853, 
##     -75.9, -77.6015352, -76.28019128, -76.24998534, -77.50340504, 
##     -76.88708283, -79.32251313, -78.00857588, -73.96922734, -76.64605366, 
##     -77.16454182, -78.63162384, -77.71274338, -75.48972599, -73.8542841, 
##     -76.42765967, -69.1103075, -74.91872513, -69.00895993, -66.30232581, 
##     -70.51826697, -79.07648012, -65.9757865, -85.64035111, -67.49677227, 
##     -75.11534145, -68.48624332, -79.34101632, -80.04881499, -67.69111243, 
##     -71.62306077, -76.87410673, -92.6971705, -75.33359046, -78.95825174, 
##     -81.01079865, -77.19307413, -67.96217595, -76.5847591, -67.62126277, 
##     -69.51473152, -72.23104679, -72.99961374, -67.99088549, -70.69283709, 
##     -77.51797711, -78.07363181, -79.04156743, -82.69949936, -80.08668784, 
##     -81.54781805, -78.27860022, -75.29054036, -78.37009312, -83.22339378, 
##     -82.91301258, -83.95874707, -81.95873579, -77.54714887, -78.56265532, 
##     -74.64163869, -72.61138709, -75.43841616, -75.42589987, -83.14392547, 
##     -67.48994699, -74.44926011, -83.62243207, -74.4556505, -76.58333912, 
##     -82.08674769, -71.27347864, -67.83884236, -77.66191699, -79.78306641, 
##     -79.39679091, -72.92411935, -75.09858577, -75.9151209, -79.24724342, 
##     -78.21772981, -74.2921449, -75.49900749, -76.70624891, -72.94287202, 
##     -72.7085908, -74.93960631, -77.05208273, -71.03317811, -72.41478574, 
##     -71.28833283, -72.93382881, -73.43630419, -74.69228177, -74.97228541, 
##     -75.24173181, -78.03641831, -77.60419265, -82.24182793, -80.91423689, 
##     -77.68792677, -77.22817811, -74.45926006, -73.6765933, -76.9216325, 
##     -78.60180237, -82.18079695, -79.10872407, -79.42817918, -73.83205556, 
##     -76.85661951, -67.30368661, -85.10195532, -68.69512118, -77.43650366, 
##     -87.26051938, -77.74436513, -74.58403635, -87.2450596, -83.60888031, 
##     -66.99188383, -64.96012392, -73.80771513, -84.09717523, -73.80599429, 
##     -71.82707798, -71.46104017, -83.71715564, -83.57018183, -80.91716777, 
##     -78.81730518, -77.83164557, -81.18002725, -83.90036879, -78.42295133, 
##     -67.2, -67.22107295, -80.22487013, -77.02918844, -77.60131061, 
##     -73.63604508, -76.68511165, -68.85949061, -71.6139339, -73.53305699, 
##     -72.01842115, -73.52946424, -73.6886192, -75.94375468, -77.45600712, 
##     -77.10250191, -76.51230068, -77.71712147, -76.04451193, -78.49433734, 
##     -79.34101632, -78.79773789, -78.6688785, -73.9194899, -72.36463241, 
##     -84.90461385, -75.51479864, -84.46245436, -72.09923967, -71.2110598, 
##     -83.25699339, -69.70624553, -79.00776256, -72.86338125, -72.87425458, 
##     -80.51505169, -81.81976748, -82.84153807, -80.43248372, -82.13648121, 
##     -79.21260089, -78.4984305, -78.7610835, -76.6, -79.58308734, 
##     -77.74509846, -79.63006538, -78.68398101, -78.79765215, -78.33837013, 
##     -79.41167626, -78.5617842, -81.21258705, -81.2357034, -74.88116929, 
##     -75.2118053, -76.01850491, -75.95690154, -74.72730378, -77.71587376, 
##     -74.80586658, -76.05769205, -77.21817319, -79.87199691, -77.6244383, 
##     -82.14935392, -80.42160018, -81.30232782, -78.01007691, -77.96380047, 
##     -78.95609776, -80.86810712, -81.53859831, -81.53168456, -82.02888402, 
##     -78.0043675, -75.90439446, -76.12092301, -77.9103283, -81.51924298, 
##     -76.21232514, -75.55200588, -80.66198248, -68.26543076, -89.06359027, 
##     -86.16639361, -72.37475164, -83.18248193, -88.01615323, -73.60791494, 
##     -73.8, -79.02209285, -79.44284968, -85.9420289, -85.45264221, 
##     -79.40876073, -82.93715269, -73.04334335, -75.03266766, -77.14779524, 
##     -79.84691606, -78.0748571, -78.13912279, -75.60175128, -72.83245407, 
##     -75.24187535, -74.94317543, -74.08938723, -73.49632351, -75.25960827, 
##     -71.01352525, -73.28260205, -76.97582187, -74.77252193, -78.58562463, 
##     -80.70969586, -81.56274379, -81.50125877, -78.13363073, -84.6, 
##     -83.69294262, -77.30172199, -83.79456332, -82.89918301, -80.76621846, 
##     -75.26586788, -80.87385755, -65.87287925, -64.44193847, -67.61211896, 
##     -73.59201334, -67.24848629, -71.46033834, -74.58905943, -75.41285871, 
##     -81.59335728, -69.9, -79.81607037, -82.66127913, -77.1915237, 
##     -75.4575969, -78.10373958, -77.47133762, -71.9883953, -73.34628741, 
##     -71.60746957, -72.25502168, -70.2998522, -68.95272228, 97.53885391, 
##     97.23285873, 98.0987031, 98.38997991, 98.55808219, 98.64627342, 
##     98.44352326, 97.93332202, 96.81093182, 96.8804181, 96.3122733, 
##     96.93956221, 96.93956221, 96.98960948, 97.63356558, 97.02659382, 
##     97.40117982, 97.47551723, 98.24465942, 97.88712497, 98.32231405, 
##     98.37739479, 97.44464668, 97.71044559, 97.25186379, 97.66619546, 
##     97.63356558, 97.13092054, 96.98693104, 97.08382388, 96.93413679, 
##     96.62428578, 97.71688044, 95.63312784, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, 94.29405816, 94.29405816, 
##     94.29405816, 94.29405816, 94.29405816, -89.74007468, -90.94916532, 
##     -92.45347341, -91.84879861, -91.7508184, -97.24969526, -93.2624527, 
##     -91.28234652, -87.87133855, -93.58371506, -87.5655004, -91.10566566, 
##     -88.21851798, -92.48012253, -92.80792097, -89.56164251, -89.02921505, 
##     -87.1600596, -88.58680748, -92.4147184, -98.34406088, -92.52292867, 
##     -92.26124142, -93.07905904, -92.80029248, -102.4003637, -96.05042992, 
##     -97.52194292, -93.28447716, -93.0833161, -96.0748822, -91.40758441, 
##     -92.28185258, -85.89737435, -89.0497229, -91.09152334, -88.6236417, 
##     -89.5, -101.0171017, -95.95653458, -85.35058297, -90.87394423, 
##     -90.0384136, -91.54183429, -94.07625759, -94.29692443, -90.75443925, 
##     -94.65549491, -95.33432449, -95.87462344, -97.39543809, -95.40760949, 
##     -95.8110946, -95.79521946, -90.07264624, -88.80397397, -88.36216389, 
##     -103.0572972, -98.50082468, -99.74106764, -98.36275919, -96.58504578, 
##     -101.3985452, -100.3523249, -96.4603366, -102.8580242, -102.7173771, 
##     -100.3526818, -96.35559255, -95.21599019, -95.86488201, -93.22567198, 
##     -97.49986709, -92.63699794, -92.35972909, -97.98735556, -92.27339181, 
##     -94.11151381, -92.3, -93.11042378, -96.42142603, -96.03390165, 
##     -90.26002699, -96.98463088, -95.01166895, -92.81287338, -96.42207843, 
##     -90.55081429, -89.71043592, -95.35074371, -93.02740141, -92.23193079, 
##     -91.89616657, -96.71783969, -95.95327859, -98.87176185, -95.87934008, 
##     -97.33911915, -101.6262007, -97.04066082, -82.29956739, -96.6416522, 
##     -89.18642943, -91.53693366, -91.43434841, -90.29393264, -87.5308895, 
##     -90.82766471, -88.96249144, -90.73316545, -90.98185548, -92.40362032, 
##     -91.61922592, -90.822299, -92.33813615, -90.95624563, -89.90798923, 
##     -89.02233055, -91.3, -109.8792366, -111.8120897, -106.7037841, 
##     -104.2295787, -101.8262343, -101.7361104, -103.8860758, -101.8649237, 
##     -100.1208354, -104.5985015, -109.3590463, -106.7758201, -102.0431539, 
##     -102.6409363, -100.3738201, -99.46583143, -97.30390172, -95.0257608, 
##     -96.45303579, -95.16033492, -82.52399963, -83.69500784, -90.37599906, 
##     -90.38556609, -88.1246434, -87.62838332, -93.42575392, -95.07754763, 
##     -94.23429097, -93.81938287, -95.52359452, -96.68897566, -96.7856197, 
##     -95.54757983, -104.1791643, -107.349519, -107.4020116, -101.1520893, 
##     -105.1783319, 67.75879711, 75.09356215, 76.96362406, 70.65177522, 
##     72.1920287, 66.57493552, 76.41151412, 62.84360473, 61.72916462, 
##     68.89243882, 73.62207175, 65.77709012, 68.34470698, 60.72690303, 
##     64.51915455, 72.0418501, 75.25277764, 74.16704288, 82.2118795, 
##     70.24580223, 67.65259434, 60.15444128, 65.20725718, 72.99486061, 
##     74.329234, 70.96368964, 87.02200105, 78.05624981, 51.77215209, 
##     58.7, 86.37531592, 108.8047229, 107.8191361, 81.76450458, 
##     94.3910502, 65.77709012, 60.60374607, 63.33351314, 62.5510387, 
##     62.08515699, 64.05223127, 60.49380542, 71.61534622, 88.56536663, 
##     75.88155941, 69.77946866, 69.39805949, 58.38610424, 60.79514968, 
##     54.20816159, 56.39426414, 60.06967529, 66.89640743, 77.41752759, 
##     90.9951031, 90.64314421, 75.22246596, 78.3923235, 98.74467744, 
##     88.5353386, 89.26886373, 84.07519583, 95.05468408, 105.0098833, 
##     110.4040678, 118.9574496, 80.50034943, 81.60634359, 92.27974045, 
##     107.0484603, 103.7964847, 94.46957982, 90.18322525, 77.33488044, 
##     72.25704533, 72.88695274, 66.95698886, 46.62209578, 70.14785703, 
##     70.42488154, 59.19690153, 46.21120959, 52.08024172, 47.17300977, 
##     40, 24.96329494, -22.10826203, -79.9685822, -80.79864913, 
##     -36.02014204, -15.82821675, 32.17505544, 32.10348867, 25.75518499, 
##     18.99138214, 11.21221197, 7.024399292, 11.72777506, 19.21995414, 
##     19.1199992, 40.75375419, 46.34933654, 45.81903823, 37.72685677, 
##     37.03710885, 21.56641542, 10.94720798, 30.3, 36.41317954, 
##     39.05637998, 40.34420029, 34.06534143, 32.39773395, 34.89045797, 
##     32.13568018, 31.7663193, 31.23204425, 30.33027697, 41.61923351, 
##     49.53512703, 35.05504121, 30.33027697, 29.78689166, 30.93394869, 
##     29.50386198, 34.75598911, 30.27459516, 27.59666922, 26.81366832, 
##     26.63686759, 23.79411248, 28.44262161, 28.64033456, 23.6171527, 
##     26.63686759, 24.48638542, 26.63686759, 30.67095024, 30.67095024, 
##     31.1587068, 36.10394766, 34.89185573, 23.6171527, 23.42397264, 
##     17.01191643, 9.818630191, 12.64854426, 10.36027759, 8.250212567, 
##     10.32377435, 18.81694273, 15.17502647, 20.65411303, 18.42261429, 
##     140.5647649, 149.6857289, 145.4206102, 117.6005207, 87.60580506, 
##     88.84797719, 72.66801849, 77.77503779, 69.58212207, 61.00873636, 
##     55.15200412, 50.46233379, 47.26128239, 47.74441276, 45.89212085, 
##     33.80923847, 37.7953313, 36.79595843, 39.30187236, 44.96828197, 
##     68.57295109, 54.8311142, 77.92420571, 84.38438238, 6.972979491, 
##     15.98472773, 82.45396265, 78.53981634, 41.82243296, 5.862315979, 
##     5.444992948, 45.24754618, 66.72813369, 85.60976534, 51.63724153, 
##     85.60556345, 118.0189283, 88.69115612, 86.06241302, 81.612231, 
##     47.24891185, 31.06207796, 74.87696658, 107.3863836, 111.3439747, 
##     134.2, 136.5746707, 105.8185174, 108.3370191, 114.9228687, 
##     116.4118633, 92.35702064, 84.23581887, 90.56002718, 142.4593252, 
##     93.61184263, 81.87191593, 87.10637003, 94.73470228, 105.3706361, 
##     108.7252715, 91.87210208, 97.97924745, 99.88106514, 101.3115697, 
##     97.83217097, 104.6683131, 97.29924466, 94.35153474, 108.0346586, 
##     103.8493123, 93.51070995, 94.65791443, 92.32970642, 93.19311826, 
##     93.06731813, 88.09821959, 88.63321329, 82.95220318, 74.17184654, 
##     66.36408805, 79.51050947, 100.3554029, 111.273943, 67.49578514, 
##     70.38403995, 89.88983818, 71.62841345, 75.37162744, 89.4, 
##     76.34420297, 52.64552319, 48.9074671, 53.041545, 38.8228243, 
##     29.03450727, 39.40181223, 40.59325405, 53.91841172, 21.42325668, 
##     25.76652722, 0, -14.87983452, -38.30974916, -33.4443946, 
##     -36.06311701, -62.72377404, -69.30872098, -86.16938992, -63.68119842, 
##     -132.7275137, -117.9722649, -12.34044667, 17.9, 105.1235032, 
##     87.26382506, 106.9264767, 124.9045772, 121.4639494, 127.7272103, 
##     132.1453872, 138.1324336, 127.4833405, 123.0959417, 108.4954419, 
##     112.0580048, 119.9911554, 120.4230991, 106.3871151, 99.14356714, 
##     115.9098767, 105.1276523, 100.6500969, 57.09912163, 53.09696027, 
##     73.43932529, 88.56536663, 113.0285664, 133.7581931, 52.16111033, 
##     69.05298944, 96.87234065, 123.0031302, 135.4711354, 75.16840037, 
##     90.52221908, 108.9133529, 110.9628588, 101.8469666, 122.1320586, 
##     138.1429843, 116.5346356, 84.76452463, 71.92306575, 84.07519583, 
##     125.5696277, 123.1395063, 139.2434549, 147.8040007, 146.1219054, 
##     135.3441706, 112.7, 132.5817664, 113.6428602, 116.7300552, 
##     116.684982, 110.3231201, 114.7365495, 119.1109811, 115.9388546, 
##     111.1875118, 126.2784356, 132.6592517, 138.3260375, 141.4488573, 
##     118.5062763, 116.4118633, 119.3715104, 45.23030757, 34.42721092, 
##     67.52836169, 98.22173819, 89.50438097, 112.6377117, 77.67604977, 
##     29.35432215, 49.65477659, 27.59342515, 13.53896255, -14.04897018, 
##     -25.7, -13.77962246, -27.0549763, 33.55544843, 21.86689459, 
##     22.95630411, 61.54797087, 61.18300867, 78.92542428, 114.9161562, 
##     109.0739314, 136.7489294, 98.04953028, 96.43639166, 138.6570184, 
##     116.3669371, 111.7040417, 87.0691874, 100.3733503, 110.5080098, 
##     80.64700758, 61.47535397, 66.37640457, 124.718682, 125, 107.8987151, 
##     122.0912537, 129.9954758, 77.41752759, 57.95424044, 110.4140281, 
##     131.9987051, 107.0576625, 84.64424716, 85.08019114, 90.36884182, 
##     107.5304348, 115.521438, 133.917945, 127.1874299, 115.0132978, 
##     102.5226563, 108.574654, 98.72351012, 115.9978536, 121.980448, 
##     137.9143766, 121.8354178, 122.1320586, 78.6773681, 73.35813236, 
##     76.82112082, 111.8718022, 140.0457912, 148.013644, 144.109379, 
##     127.2529971, 90.06214203, 72.47111532, 71.11612141, 72.1920287, 
##     87.60580506, 90.18322525, 110.7148718, 50.64446434, -9.0106135, 
##     -16.8335453, -50.64446434, 111.1339316, 113.9999745, 99.09307103, 
##     127.8267125, 105.2661598, 116.4012181, 145.8596058, 141.2070182, 
##     106.2507393, 103.8965934, 106.3060077, 111.6681166, 121.7711463, 
##     128.009583, 122.0504163, 125.0073273, 139.4772577, 103.5497392, 
##     130.8257456, 131.6108273, 134.9151673, 154.5160918, 121.9466248, 
##     116.143393, 133.7149987, 145.3, 141.3714002, 133.1179292, 
##     144.3286769, 135.3664838, 110.4043895, 125.014078, 125.4054429, 
##     135.6735643, 46.15853882, 72.3597087, 117.6150155, 83.29812667, 
##     93.00296529, 52.53973804, 59.86733817, 135.2127381, 77.02443284, 
##     95.53166181, -14.04897018, 127.3819506, 136.4043171, 132.7275137, 
##     124.3402261, 106.2701176, 107.8080896, 108.2711174, 136.9595241, 
##     143.4215139, 128.4744885, 128.8531051, 136.2320779, 122.7069472, 
##     116.5346356, 121.4394075, 136.2762479, 134.2244596, 141.7492957, 
##     141.8146998, 142.8899272, 136.1802055, 148.9892228, 143.215659, 
##     112.6134614, 117.9044013, 134.0133862, 136.33001, 134.3411812, 
##     142.8899272, 145.9818894, 141.0027815, 145.700432, 123.8129144, 
##     120.7915089, 105.4331034, 136.3020323, 124.7235725, 152.3690747, 
##     133.9318963, 90.9762506, 123.7089479, 126.0961497, 108.6461045, 
##     117.9722649, 75.90702093, 90.18322525, -110.7148718, 0, 0, 
##     -44.0510663, -84.41539861, -142.8899272, -35.5602583, -46.3647609, 
##     -15.49223199, 0, 35.5602583, 41.5952087, 78.53981634, 105.1650213, 
##     98.61509351, 117.6150155, 113.0820372, 117.6620135, 138.6882039, 
##     138.6570184, 127.3028464, 135.7104011, 125.8836028, 133.7053146, 
##     113.7070502, 136.0514134, 139.6747126, 152.7967577, 147.9808665, 
##     137.88248, 129.1544765, 128.4651171, 131.8594041, 87.60697465, 
##     96.137228, 88.9, 90.00904142, 100.6387376, 143.0269138, 151.4952749, 
##     125.8215593, 131.7242623, 140.0011321, 119.7731493, 129.8243452, 
##     104.2781933, 95.70387227, 125.2132718, 136.3238783, 138.1963331, 
##     137.1904635, 139.5906005, 128.2432384, 120.3, 143.8042788, 
##     138.0808039, 136.0971945, 114.183373, 109.4914077, 87.60580506, 
##     78.53981634, 123.0959417, 58.80026035, 30.62773692, 43.5249907, 
##     61.54797087, 31.7663193, 0, -10.11878428, 47.51768495, 50.97396788, 
##     49.76186734, 55.06069413, 38.52379836, 84, 121.2176649, 116.1318006, 
##     96.65863916, 93.97495238, 90.53903081, 132.2987142, 112.7619826, 
##     92.59945507, 119.4077504, 137.1449119, 135.9713446, 128.7467736, 
##     113.4257727, 109.4914077, 102.0326717, 118.8751552, 126.2784356, 
##     137.7, 123.1103751, 115.7331222, 137.5967343, 138.3260375, 
##     139.5827281, 138.9573498, 111.249869, 144.3286769, 121.7312447, 
##     144.0198429, 123.6207283, 127.3897869, 139.6696404, 147.6793293, 
##     138.796119, 137.0106162, 123.7937243, 128.091097, 138.4333941, 
##     136.3, 128.1820917, 141.8271346, 137.5967343, 133.8239385, 
##     139.3182417, 140.0061115, 145.8596058, 142.3717971, 153.6327226, 
##     147.3571861, 130.7668038, 143.6915003, 146.47166, 112.7619826, 
##     107.76132, 124.6133091, 99.38208909, 111.8481971, 86.37531592, 
##     131.0193935, -60.12642167, -67.47409422, 11.57282059, -17.43768582, 
##     0, -11.18622603, 18.92722319, 0, 57.63285996, 48.40626684, 
##     60.13776367, 54.85494025, 64.03865411, 79.98358652, 96.65863916, 
##     126.0961497, 132.2507807, 136.1763028, 137.1449119, 108.574654, 
##     143.8244794, 112.4690778, 84.10686706, 107.2583816, 113.6428602, 
##     107.6082297, 89.3, 77.78601894, 93.8777784, 112.7216147, 
##     106.4292775, 96.88050379, 92.4012497, 92.55620149, 95.12034844, 
##     112.9793057, 111.9114956, 128.9900109, 106.749631, 86.33683008, 
##     110.7332432, 88.59497088, 87.78312705, 111.3439747, 95.24215865, 
##     94.92505006, 73.89430196, 68.56336639, 76.80245843, 82.66434262, 
##     93.86916829, 87.06629851, 82.85610535, 73.0803669, 82.7355835, 
##     94.68990739, 84.10207482, 112.3738998, 68.8076995, 45.81903823, 
##     -9.917726108, 19.36583004, -19.1647195, -19.40630974, -15.76797612, 
##     -7.439802864, 0, 0, 33.7408001, 16.03030484, 49.69324908, 
##     21.86689459, 57.22564265, 43.72004473, 58.80026035, 85.00380001, 
##     103.7344208, 114.9877258, 119.4361455, 147.584462, 141.3980641, 
##     126.6300036, 151.2040504, 138.3260375, 146.9504718, 128.885684, 
##     101.7066646, 119.0121629, 108.6256215, 89.50438097, 128.1424162, 
##     116.0920958, 86.8030473, 118.8571285, 131.3982409, 112.2072983, 
##     83.60465341, 100.2913964, 83.60465341, 76.12983709, 139.2434549, 
##     121.6090675, 140.4072108, 135.9713446, 123.2567858, 108.9639706, 
##     131.7622635, 134.6085158, 149.9488862, -91.77909377, -92.16017941, 
##     -87.84992376, -93.05997619, -96.8241618, -89.63206105, -88.12076759, 
##     -86.80629587, -90.29111967, -87.38726702, -89.25054282, -90.08273505, 
##     -88.59752441, -89.36617555, -87.88438966, -86.01591808, -89.08371605, 
##     -90.36491163, -88.29141173, -89.21980771, -86.52986833, -88.6587877, 
##     -89.80154879, -91.2, -95.18234961, -85.88399361, -89.21343613, 
##     -91.88442088, -87.75636824, -89.93492184, -91.7345959, -87.70492354, 
##     -82.90421842, -83.4211761, -88.44585946, -86.03804843, -82.71609536, 
##     -89.60329794, -95.43131242, -88.16181174, -89.9475174, -91.44284418, 
##     -100.8043995, -99.36265009, -92.42357879, -90.01376822, -86.50206153, 
##     -84.59616176, -91.61922592, -92.29761272, -89.05582601, -91.91170881, 
##     -95.29451015, -93.47447275, -89.82810418, -92.41534931, -94.95030739, 
##     -91.91114638, -91.01916402, -90.28202323, -92.49679113, -93.72451384, 
##     -92.31267141, -93.21779452, -90.11218172, -94.80908088, -92.03810034, 
##     -93.82612152, -95.96204044, -92.76864386, -89.10843181, -95.18267649, 
##     -96.22119813, -91.72339686, -91.86757083, -95.06177957, -91.31260296, 
##     -95.17555056, -90.19560448, -96.81819748, -102.3715804, -96.40123495, 
##     -88.9430565, -95.45348183, -92.58605954, -97.91119436, -99.08243143, 
##     -96.8503855, -90.13794787, -95.0414922, -99.20838045, -100.7352122, 
##     -94.3, -90.46396054, -90.41559707, -90.74206542, -93.78961776, 
##     -100.5298048, -91.62387207, -87.76687269, -89.87509226, -91.7030714, 
##     -92.78589949, -95.34139021, 94.23602795, 105.693331, 111.8886919, 
##     123.2906716, 129.1030101, 127.4201747, 118.4432568, 131.3924367, 
##     107.6382068, 84.86484169, 98.74467744, 101.4611957, 99.66570051, 
##     94.17452713, 97.2567224, 90.18322525, 110.7841599, 111.8481971, 
##     108.0636325, 100.528936, 81.1, 20.89065412, 20.0344996, 36.58796695, 
##     35.62294762, 71.46929526, 110.7148718, 65.4270584, 58.39430073, 
##     67.23153665, 82.2424836, 71.85323687, 99.66646336, 111.8329022, 
##     119.6619015, 99.3072385, 108.8488592, 111.7040417, 101.7066646, 
##     140.066107, 123.465015, 128.7111958, 140.0061115, 133.5649728, 
##     114.2905926, 123.8736859, 120.9773567, 115.4954133, 132.343026, 
##     143.3730152, 150.1, 49.69324908, 18.99882879, 9.939475816, 
##     8.087469535, -26.90152122, -8.476823406, -26.55416173, -35.62294762, 
##     9.379605225, -56.39426414, 16.51486774, 56.39426414, 21.21464596, 
##     97.83217097, 65.77709012, 139.2434549, 97.03527311, 132.1163377, 
##     136.0514134, 106.4242153, 139.5827281, 114.8970956, 102.7894277, 
##     0, 24.31608692, 62.85527607, 105.0098833, 110.2345014, 78.6264715, 
##     99.09307103, 119.506005, 92.7295218, 90.75933341, 77.13743155, 
##     74.3031982, 62.86264896, 86.13135843, 124.7200739, 102.0999373, 
##     104.3309737, 106.749631, 97.40070967, 94.09567928, 98.8, 
##     58.67247826, 62.95051203, 58.00027742, 23.58886464, 27.51790767, 
##     32.01352092, 28.40114885, 34.76976843, 30.35811775, 23.06395946, 
##     13.26097949, 18.16156136, 23.06395946, 19.00183002, 16.67340048, 
##     18.59209663, 21.8, 64.53088413, 95.24215865, 79.63770895, 
##     79.13271561, 76.3860403, 61.54797087, 60.10949079, 59.71766581, 
##     72.28106035, 60.18137752, 72.58773067, 65.34367393, 79.384927, 
##     82.59832557, 80.48836147, 82.74899042, 70.63521056, 73.46871357, 
##     -76.40151248, -76.38775895, -76.0837473, -77.50109682, -77.83540247, 
##     -73.34666814, -79.63006538, -78.61562317, -78.23941048, -76.6208915, 
##     -76.76159879, -78.40158893, -78.62526589, -78.27569484, -76.25797791, 
##     -76.04291656, -74.61883748, -73.99709027, -75.1676086, -76.57587901, 
##     -77.215623, -77.14703427, -78.02026221, -78.34319597, -73.68417279, 
##     -74.79665478, -75.59755878, -74.00495308, -76.09463844, -78.76460467, 
##     -78.18637541, -76.47509394, -76.91882777, -76.38890307, -77.31670585, 
##     -76.49374004, -76.27421279, -76.35593596, -76.1977193, -76.35593596, 
##     -76.75923738, -75.52605682, -76.26614446, -75.18001865, -79.3868018, 
##     -80.40362077, -78.43849854, -79.0553255, -78.47222828, -78.32869281, 
##     -77.78876906, -76.6, 58.23306412, 48.79196886, 44.41866121, 
##     57.59776466, 61.39167509, 65.39396306, 62.97814371, 137.3104242, 
##     94.95006428, 149.9488862, 92.08517499, 60.13776367, 71.78640904, 
##     4.639052715, 41.72199517, 26.61996171, 13.95366524, 2.46882228, 
##     27.67957719, 22.41493903, 42.05343353, 50.02247831, 45.20961266, 
##     63.70316059, 67.77728731, 110.7148718, 25.17884763, 62.0249486, 
##     -61.54797087, 31.27667219, 42.05343353, 31.54587474, 22.75299722, 
##     25.01959204, 22.71366802, 31.38824974, 5.689570482, -26.0716775, 
##     -27.7, 151.6457044, 73.95927949, 125.4054429, 52.53973804, 
##     82.67988383, 33.93529624, 59.43250161, 77.95500768, 121.4062938, 
##     49.28270933, 25.17884763, 2.07942606, 40.18014387, 52.17674618, 
##     58.72916607, 42.95594664, 44.29110441, 85.53940073, 69.64950836, 
##     69.64950836, 51.74720384, 70.36389513, 81.78693608, 126.1603006, 
##     118.6793982, 144.2932861, 87.62588612, 126.3669908, 116.6183088, 
##     99.5910388, 46.57020624, 52.21321757, 49.25408519, 21.36205913, 
##     10.66513285, 77.08329967, 9.379605225, 16.1752866, 16.1752866, 
##     32.69674653, 30.77547325, 37.78941584, 93.83081845, 67.99674494, 
##     53.84459286, 50.24148996, 48.63078588, 51.49809631, 28.97517014, 
##     -20.57804263, -8.296221404, 6.668317765, 19.77287855, 29.15138114, 
##     31.11427193, 31.11427193, 36.75486656, 32.4541305, 32.25767744, 
##     19.36583004, 44.02463652, -81.13838858, 99.94820534, 133.4901446, 
##     -81.13838858, -83.93489455, 91.65257428, 72.97276562, 34.89185573, 
##     83.72150032, 114.7365495, -19.93472077, -5.637347109, 9.7, 
##     -14.87983452, -14.87983452, -14.87983452, -14.87983452, -14.87983452, 
##     -14.87983452, -14.87983452, -32.07139242, -49.36907009, -49.36907009, 
##     -49.36907009, -49.36907009, -65.72724238, -89.60026426, -89.60026426, 
##     -89.60026426, -115.4663826, -115.4663826, -140.5647649, -140.5647649, 
##     -140.5647649, -140.5647649, -140.5647649, -116.7338653, -116.7338653, 
##     -78.36680561, 98.34650784, 98.1905227, 98.28091274, 98.25621374, 
##     98.08682146, 97.89784005, 97.97959766, 57.16637224, 98.03333561, 
##     97.97959766, 98.3108195, 98.0987031, 98.46846022, 98.7911372, 
##     98.04450098, 97.842645, 98.28487316, 98.37739479, 97.65698348, 
##     97.9893721, 97.65698348, 98.16448069, 98.43152971, 98, 98.63065966, 
##     98.35013351, 98.5465897, 98.24465942, 98.01749821, 98.16448069, 
##     98.41720993, 98.2043051, 98.36448673, 98.38997991, 98.13803082, 
##     98.12414799, 98.24465942, 97.97959766, 97.67608581, 97.88712497, 
##     98.65511635, 98.1905227, 98.40197903, 98.33590876, 98.72291285, 
##     98.24465942, 98.17891111, 98.1, 97.69785522, 97.84522184, 
##     97.63315621, 98.45651823, 98.00544151, 98.2043051, 97.53885391, 
##     98.36448673, 97.23285873, 97.96223904, 97.93158943, 97.56197388, 
##     97.86986844, 98.04450098, 98.13546016, 97.89784005, 98.43152971, 
##     97.83332277, 98.36448673, 98.37739479, 97.79321493, 97.74027564, 
##     98.05783696, 98.3, 113.5758588, 130.3312346, 131.0673301, 
##     119.6937767, 113.1538931, 116.7932055, 123.6143603, 130.9234565, 
##     122.9538091, 124.9469987, 126.0083207, 128.0191551, 127.120476, 
##     125.9338273, 128.9075939, 126.5334063, 130.0666698, 121.8566318, 
##     123.81339, 120.5104493, 126.4917455, 123.709415, 118.789761, 
##     118.9411715, 110.3654538, 112.3041291, 122.857646, 128.9853712, 
##     130.1380896, 106.3589164, 100.0411852, 103.4912136, 126.7229148, 
##     125.3754008, 137.9212586, 124.0945496, 120.5003373, 120.0205921, 
##     127.2096881, 128.4685405, 117.2734274, 124.8, 118.9660144, 
##     98.34492524, 98.3108195, 133.7257252, 138.0813297, 129.3573161, 
##     113.5222465, 120.8404383, 129.6122676, 131.6988329, 122.3251995, 
##     128.2712303, 126.145461, 123.8736859, 128.6371811, 130.7180587, 
##     126.9100715, 123.3607518, 128.448955, 128.6570811, 131.3634516, 
##     121.0336672, 114.2820962, 134.3107007, 109.114251, 119.3355562, 
##     130.9331176, 130.8865809, 133.6073714, 126.2899691, 118.1937338, 
##     128.2595337, 128.1712936, 126.7019016, 125.146243, 129.2867571, 
##     120.678645, 121.4062938, 119.5838402, 134.2051084, 132.5358605, 
##     119.4254753, 107.9020042, 121.3247983, 119.1706517, 121.5796413, 
##     123.709415, 117.7850315, 114.6484771, 121.934363, 120.1836781, 
##     119.488638, 126.4022095, 121.5187526, 128.5730484, 127.5370478, 
##     128.0916491, 117.8319913, 119.8104321, 121.9189882, 131.3454786, 
##     131.3305593, 127.6665094, 125.4104679, 135.8518776, 133.4161787, 
##     131.5873144, 131.9, 55.82441814, 39.1, 7.48132784, 61.07259644, 
##     -12.42482944, 82.66434262, 77.77317642, 21.80960423, 147.0122573, 
##     -12.70866705, 72.97276562, 16.19979546, 84.9728289, 38.8228243, 
##     -3.030766997, 52.50778999, 132.7275137, 76.74660326, 58.76023767, 
##     53.55970174, 30.62773692, 115.2571997, 84.71596871, 55.31117825, 
##     64.03865411, 67.23153665, 86.03916679, 79.59474693, 105.5990372, 
##     118.4649477, 135.0808349, 100.1261527, 79.90776814, 129.9500118, 
##     125.0009011, 120.6216294, 126.7014687, 120.3719538, 124.1551677, 
##     125.6206584, 125.4100126, 127.1379147, 130.182046, 126.4437486, 
##     123.7637494, 120.5278121, 121.9558865, 126.7014687, 128.0622467, 
##     123.2305972, 109.4540038, 110.3615095, 115.8269856, 119.4953573, 
##     133.8630024, 131.7916114, 104.9065793, 88.09821959, 103.4620508, 
##     101.4478622, 112.6643507, 111.0726592, 105.7295334, 101.2741055, 
##     122.6631119, 108.3201201, 121.2000295, 117.1955021, 131.8295186, 
##     109.555345, 104.7332899, 116.279602, 118.1870067, 133.858682, 
##     132.4644464, 125.7439797, 128.9844712, 124.5242591, 129.3116608, 
##     131.9363375, 124.5775041, 124.2311133, 124.8333352, 116.6183088, 
##     119.284047, 129.5082719, 123.0482373, 121.8180556, 121.6338056, 
##     125.8360624, 135.5146657, 128.1, 127.4458253, 125.152138, 
##     128.6261945, 122.8843546, 130.6092112, 130.0100301, 126.7770327, 
##     131.7958835, 130.4104007, 131.7221409, 130.2569858, 131.1711966, 
##     128.2712303, 126.8996445, 130.1869604, 131.8602804, 128.0091646, 
##     131.7892057, 132.9743336, 127.6974099, 127.2903862, 127.7272103, 
##     131.4920285, 129.3573161, 68.34795044, 72.56857571, 64.64299469, 
##     44.172665, 42.48134513, 47.25404499, 47.51768495, 38.6028389, 
##     39.91960869, 42.39987759, 49.58144568, 48.75832489, 40.87518536, 
##     45.14806924, 32.37163591, 42.0224244, 55.6794105, 81.76450458, 
##     85.93880429, 78.62766178, 109.3268631, 74.23920731, 35.20005105, 
##     53.82271488, 99.85155417, 77.09589965, 56.07478959, 76.9499018, 
##     133.9165868, 112.4261179, 114.0361519, 113.6714343, 102.1364765, 
##     122.9026756, 107.8011135, 90.2482674, 91.58014713, 107.9673544, 
##     125.0127696, 137.8262465, 122.5356136, 127.611966, 129.3368137, 
##     123.8401494, 134.5684871, 132.1577951, 134.31755, 131.1596389, 
##     109.2344748, 101.5573796, 93.5, 95.0584214, 98.77551115, 
##     98.08112287, 96.6461773, 88.32178049, 87.57849646, 60.71382285, 
##     66.86611938, 58.38610424, 54.19748417, 42.25559163, 36.99832693, 
##     28.03270018, 43.10740549, 35.93965936, 40.45106796, 38.99825087, 
##     44.96218754, 57.62081892, 79.34061321, 65.85504008, 80.90682738, 
##     69.29129436, 54.59955766, 87.6, 73.31941878, 99.45736128, 
##     96.87019997, 132.4337902, 110.4537229, 84.71288292, 97.50657387, 
##     125.238988, 107.0693752, 81.14873482, 101.2403439, 97.52651354, 
##     137.3104242, 124.8071892, 131.8450136, 128.2469284, 127.4870288, 
##     132.6225141, 121.7003951, 124.815977, 106.7013702, 113.5995694, 
##     113.6824413, 95.8798957, 81.73384025, 85.98449546, 56.65535636, 
##     58.44300733, 81.24650803, 80.36695335, 72.64397747, 58.85732442, 
##     71.37578367, 51.14863621, 66.65975175, 50.8013821, 50.97357223, 
##     37.07577915, 40.6660534, 41.7585462, 33.57600908, 46.97931539, 
##     41.35555506, 38.05063771, 48.68479117, 33.07753473, 23.75277095, 
##     31.35923111, 34.4456371, 47.72902599, 65.46420759, 55.92487374, 
##     63.04815961, 65.07053848, 51.53594407, 97.84975701, 93.27615507, 
##     126.4540867, 102.7892729, 88.39344143, 78.7733859, 76.78304309, 
##     137.0491132, 127.3117488, 130.0222401, 125.1634582, 121.7807938, 
##     127.7563385, 127.6389204, 128.3281645, 127.2943153, 127.9393086, 
##     115.8241226, 110.0909028, 122.3074939, 107.8748353, 98.50588381, 
##     82.18315481, 90.80410522, 81.37254994, 78.44703814, 85.07422003, 
##     80.49492557, 77.61050996, 70.73991497, 52.65492757, 41.37505315, 
##     40.64978672, 36.8686256, 36.21415968, 30.34938756, 34.30326439, 
##     23.5, 124.7764403, 128.2587149, 102.8217003, 118.068321, 
##     130.2788379, 129.1111546, 132.3433382, 131.3245584, 126.7749774, 
##     116.5656319, 119.4938521, 109.4549357, 89.59199167, 83.04833245, 
##     75.90884461, 72.30011416, 72.60203312, 54.2953163, 54.06781569, 
##     64.5027154, 52.57157379, 58.52923295, 63.52535825, 46.39737431, 
##     31.3489456, 27.60761604, 23.98700741, 25.05532784, 42.83710681, 
##     20.37620761, 29.51788968, 34.4, 40.68386053, 52.70718899, 
##     48.73117895, 44.62306088, 83.51988074, 63.86149017, 86.73858007, 
##     104.1988735, 65.47050073, 84.36090216, 119.2502335, 146.6409589, 
##     78.50794891, 61.8814075, 94.83156753, 103.6273691, 28.94550613, 
##     40.55667093, 127.0265151, 112.0582085, 115.312878, 131.3154176, 
##     127.2524553, 131.888966, 132.1143202, 127.6665094, 126.7052032, 
##     130.0169943, 115.7154063, 130.0222401, 109.4127736, 125.6414208, 
##     119.0912502, 111.8236391, 109.0753388, 98.65715231, 95.19762459, 
##     84.71401632, 59.17426326, 67.9125383, 76.57151998, 69.8472812, 
##     32.76438346, 47.33183317, 33.66322474, 17.92111398, 18.56474982, 
##     10.05201468, 36.6552218, 28.64407635, 25.26514775, 28.95413931, 
##     27.42934794, 22.07387903, 44.42615535, 45.28791981, 41.53664923, 
##     37.4, 60.54865805, 38.8443131, 91.16559694, 85.97996417, 
##     90.18769306, 87.8057857, 97.65306701, 109.0240868, 116.9249507, 
##     111.9538358, 112.5288484, 117.3223929, 122.8, 22.95394118, 
##     24.25528601, 27.34963647, 34.09612674, 49.65591895, 52.53164687, 
##     47.23864497, 96.90694858, 43.52830788, 46.76384582, 42.01825309, 
##     68.9257692, 85.87266448, 98.68378684, 106.2354352, 96.2801104, 
##     80.53237557, 100.3833248, 80.1257334, 75.89666154, 131.0193935, 
##     133.6134654, 126.7857145, 136.9, 140.2120574, 138.0808039, 
##     144.426237, 131.703518, 132.4370211, 141.7626106, 133.3516912, 
##     124.560352, 119.6677543, 126.6587832, 126.0234716, 111.8886919, 
##     123.7369755, 93.55601776, 74.26850912, 68.42947917, 61.16024491, 
##     76.89773012, 59.61053424, 54.08392931, 57.59998751, 57.00336058, 
##     61.10161304, 36.58817717, 51.68267017, 14.71300854, 19.42036188, 
##     23.29128252, 32.36048019, 13.36022932, 21.21956083, 17.82401892, 
##     21.57238156, 34.11406049, 43.73452927, 37.36154354, 46.53538012, 
##     54.85950506, 55.07600728, 75.16343834, 66.73016526, 37.49927795, 
##     54.70341648, 91.30081996, 92.26753283, 80.48836147, 110.6695563, 
##     95.6292275, 81.16492889, 99.29653859, 103.5894688, 127.3125534, 
##     113.8003036, 114.664603, 104.8304294, 107.2583816, 130.4149534, 
##     120.1952477, 138.9255516, 141.9883462, 134.640975, 140.1611753, 
##     115.0261992, 118.8623493, 109.3523186, 80.59348607, 79.51772119, 
##     74.74951095, 68.06871978, 58.23654884, 52.9911728, 49.49676576, 
##     48.06104175, 49.64214955, 46.48372283, 43.93238401, 42.48846186, 
##     45.41120893, 48.5, 113.26241, 108.4033738, 97.07461134, 92.13115363, 
##     88.52120143, 81.23937348, 81.16492889, 63.03870783, 59.29580366, 
##     50.80159353, 49.80141895, 47.8872823, 47.64274691, 45.57310256, 
##     47.20395495, 50.62721468, 48.55328707, 44.91502644, 42.99791755, 
##     42.40245726, 41.94360681, 42.04073597, 42.38357141, 47.50661378, 
##     47.87697014, 54.40289623, 53.10323459, 55.1, 57.31640875, 
##     58.18199586, 56.36614125, 57.23348798, 60.33268469, 61.51072958, 
##     65.71709839, 67.37841745, 67.29043905, 67.3718933, 67.28324583, 
##     81.96128936, 85.28998951, 95.98908365, 108.5051882, 113.4151566, 
##     102.1708871, 115.0261992, 135.6251045, 125.6284345, 75.42091099, 
##     54.74170256, 41.92302488, 23.97431089, -5.547715006, -11.85861957, 
##     -15.14714628, -24.82795139, -58.65248983, -25.57615018, -27.19050566, 
##     -48.36239426, -64.5462875, -54.77788103, -51.79487336, -38.36405418, 
##     -58.87012986, -43.66321988, 10.43048693, 35.76345458, 56.29414444, 
##     51.53358515, 65.21960206, 121.9466248, 154.7544704, 137.88248, 
##     140.7343476, 109.2038475, 100.3898215, 92.32970642, 89.76446495, 
##     70.8, 68.51410761, 59.4889638, 55.67964528, 54.06618554, 
##     45.17520355, 43.54978098, 46.22569972, 44.34944479, 45.21360403, 
##     46.63364655, 44.30807466, 45.86973896, 41.641707, 43.52651935, 
##     42.55965971, 45.08565953, 41.52746942, 41.54290597, 44.09124599, 
##     46.32304236, 50.62606374, 50.21261354, 54.36480141, 59.49199099, 
##     57.23066741, 57.78893883, 59.6, -35.23514204, -32.32921872, 
##     -6.132356944, 37.23953695, 43.24943943, 57.11055443, 146.642046, 
##     140.8099601, 129.9274976, 121.6579254, 122.6314618, 126.1865583, 
##     116.5801932, 112.9922343, 110.2500892, 99.7614493, 92.86396735, 
##     90.00031164, 77.37561051, 66.29315547, 61.14727192, 54.81451164, 
##     52.21492905, 52.3474479, 51.17580896, 47.29875237, 44.4947369, 
##     46.23055729, 46.14035417, 44.25555755, 44.92896294, 43.72680314, 
##     43.9, 42.2390781, 38.1289656, 41.43973388, 41.29989497, 42.95231105, 
##     49.83922956, 52.22958998, 55.60325735, 57.87355827, 57.50450941, 
##     56.64694457, 59.18620445, 62.3150713, 63.71805713, 73.86503022, 
##     70.76890414, 70.96703815, 76.51111931, 95.59135596, 80.14181001, 
##     94.76422573, 102.5411155, 100.0705667, 100.0705667, 99.2828967, 
##     106.5784676, 103.243504, 122.2047318, 82.63437081, 82.63437081, 
##     82.63437081, 82.63437081, 44.29110441, 33.28306719, 21.84600952, 
##     8.785628659, -22.32536811, -29.88192934, -31.95691074, -27.19050566, 
##     -31.09750586, -31.6225069, -35.31277524, -29.89466654, -32.30313171, 
##     -39.24830546, -28.74037969, -42.40426942, -40.5866892, 34.64353499, 
##     85.38109581, 108.7858725, 131.0167016, 41.68782978, 42.57126932, 
##     43.04180743, 44.00236474, 43.69461721, 49.08045859, 44.4447902, 
##     53.11736818, 54.60799324, 60.60338011, 60.12642167, 64.57389062, 
##     68.11045009, 68.22775445, 76.25684445, 76.31568431, 76.83646577, 
##     78.2884898, 85.57121418, 101.2158281, 106.7974659, 116.9801367, 
##     120.7649317, -2.171519823, -26.19529177, -25.53765328, -3.1612242, 
##     4.868405458, 24.94917623, 18.69125957, -29.52271571, -30.05046414, 
##     -21.28629478, -10.86389483, -11.58835148, -15.21526749, -8.828799558, 
##     -17.52206908, -40.01510107, -44.88756587, -38.73377417, 52.2746807, 
##     58.13092176, 101.8139464, 141.2821404, 124.0490168, 120.3759284, 
##     117.6607969, 112.8122789, 102.241818, 100.5703122, 91.74975543, 
##     76.78827242, 71.47980001, 54.11546995, 51.59294612, 51.32027935, 
##     48.37797966, 50.25673213, 47.65088311, 46.63097352, 41.46413852, 
##     40.18928399, 36.3256741, 41.43319699, 44.45280281, 46.48136869, 
##     47.97775402, 55.85665303, 55.16930663, 65.08472253, 66.8856612, 
##     68.56592025, 68.05514931, 76.79683601, 97.98484896, 100.8707029, 
##     102.4760184, 116.1425399, 123.5432245, 137.2442203, 85.06829633, 
##     -15.84997428, 13.35525701, 22.16027801, -2.133138688, -40.42893136, 
##     -10.10263447, 2.338474993, -19.70823353, -36.70637416, -30.34655625, 
##     -19.17595319, -13.01166667, -21.60849723, 10.61328203, 60.05848795, 
##     70.15642187, 86.25502691, 141.4010298, 145.1720948, 133.4901446, 
##     118.5501743, 112.761201, 111.0691679, 112.3090881, 97.14131277, 
##     94.1955806, 76.43902285, 70.48203716, 67.00127122, 56.73654259, 
##     46.37099214, 45.78169118, 47.46925265, 42.48307064, 42.60874919, 
##     34.31063124, 41.96549417, 43.41392728, 48.28530803, 54.52672388, 
##     54.0630677, 57.37905385, 60.5543826, 58.44558751, 71.25132932, 
##     73.29721732, 87.24145399, 83.42762636, 84.2197564, 96.7816546, 
##     114.8599556, 122.151376, 131.9886278, 132.9949872, 153.0162923, 
##     154.1342065, 133.6318727, 125.3052909, 69.13369288, 8.599349629, 
##     22.0807428, -54.45335109, -80.28661408, -66.88585216, -46.76240372, 
##     -49.31189637, -54.01439777, -34.81826577, -38.10203855, -36.50572513, 
##     -31.74972397, -24.76683761, -25.78132802, 17.56154347, 61.9713941, 
##     67.09332955, 78.51205398, 151.1757619, 140.4974251, 124.2124713, 
##     104.366376, 82.1240987, 64.2318501, 76.36135658, 77.77105325, 
##     82.47019352, 92.95945964, 109.3838161, 119.4213595, 122.496728, 
##     117.0937007, 118.37727, 120.4247464, 120.4247464, 120.4247464, 
##     119.9044684, 119.9044684, 119.9044684, 119.9044684, 121.5160442, 
##     121.5160442, 132.8988026, 121.5160442, -3.854239789, 9.961369248, 
##     20.82683504, 26.44336415, 11.84899592, -2.379828414, -16.05324008, 
##     -33.81459994, -26.77795625, -25.62904373, -7.48132784, -9.605352426, 
##     3.281482467, 53.97006616, 97.35693932, 139.4641641, 147.7024536, 
##     148.0854792, 135.3700072, 122.5712097, 115.7133922, 113.6132294, 
##     82.2081714, 71.98811458, 70.99071303, 62.99956924, 56.03834359, 
##     50.29821797, 46.90705159, 46.45718558, 51.24015646, 45.6880312, 
##     45.08709748, 44.5163324, 39.20021378, 44.77659056, 45.61938946, 
##     46.07811111, 48.02193967, 52.81061746, 54.50338698, 50.6532322, 
##     60.43557601, 73.37588569, 69.62608829, 79.21544544, 89.83489996, 
##     90.32675333, 90.05305386, 93.77680687, 99.2602995, 104.3030205, 
##     119.9714811, 129.6227019, 126.241618, 125.5337579, 138.5448377, 
##     131.0193935, 141.8146998, 144.0013693, 139.6888913, 121.2176649, 
##     87.17214801, 84.41539861, 97.64543658, 135.9702994, 144.0013693, 
##     89.06514022, 45.40771437, 63.2748835, 35.31277524, 11.02496344, 
##     11.21917808, 19.73728055, 32.47075309, 32.47075309, 26.35246694, 
##     21.48345276, 21.48345276, 18.17614179, 16.2177764, 8.456907156, 
##     8.456907156, 5.332241576, -2.324534, 4.211537959, 4.211537959, 
##     0, 4.060659477, 3.898077074, 5.67871577, 4.957324502, 2.423011605, 
##     -5.555980747, -8.279987839, -7.189292965, 2.275864254, 7.779657187, 
##     9, 9.0530796, 10.96816685, -4.860093223, 2.594026246, 5.253949848, 
##     15.89762895, 30.07003181, 8.305157826, -36.77672845, -33.59754482, 
##     -38.05063771, 72.97276562, -56.48668793, 112.2674957, 75.72787679, 
##     24.91336857, -39.41378545, 117.9722649, -17.85743487, -6.483176164, 
##     34.69277442, 91.29760627, 104.804452, 4.94065777, 110.2345014, 
##     13.53896255, 5.3, 11.3379845, 47.837328, 31.58680516, 18.59178618, 
##     18.9497516, 16.07627406, 10.87314709, 32.0398588, 33.85246268, 
##     27.51790767, 24.40121256, 18.00778889, 11.19595932, 10.60225591, 
##     8.760670957, 13.91705601, 7.275808066, 6.824137554, -1.672068333, 
##     0, -2.083908144, 13.96831055, 6.18716158, 9.795350692, 0.730673543, 
##     14.71938281, 29.85675973, 22.24952619, 24.74250101, 17.38075173, 
##     15.25832136, 12.84703744, 13.18220452, 25.76582015, 26.67039866, 
##     7.240888211, -6.963580644, -3.183572809, -7.654664214, -70.36389513, 
##     -103.907226, -49.69324908, -35.62294762, 11.15698649, 8.911337574, 
##     4.299108663, 0, 5.15163743, 4.457333065, 2.303348684, 9.786155686, 
##     15.71245749, 7.640847505, 6.94555718, 5.786280919, 7.375167573, 
##     6.403991359, 22.26964133, 23.24146978, 14.61890019, 18.41261766, 
##     33.06824588, 34.12909225, 23.56464199, 30.55587222, -14.1, 
##     -6.869383546, 0, -39.06070437, -13.08074961, 27.0549763, 
##     -132.5817664, -20.31972605, -19.36583004, -11.65110628, 5.805849698, 
##     18.36040103, 108.574654, 41.04300887, 94.03775135, 87.30016402, 
##     104.8304294, 122.2025323, 41.82243296, 131.0193935, 74.71093866, 
##     42.05343353, 60.12642167, 38.62870915, 35.5, 15.52562181, 
##     13.35358239, 10.48129103, 12.82572437, 35.2603529, 55.85612325, 
##     31.70195984, 40.0447533, 35.38401203, 35.15766183, 49.03563883, 
##     17.07725535, -67.35733192, -78.85037734, -50.13038096, -25.57615018, 
##     -13.00066583, 4.10766285, -40.32596974, -45.47292167, -34.08150983, 
##     -37.83693794, -22.53542581, -22.14940182, -13.37315894, 3.030766997, 
##     -2.47183733, -12.04682039, -4.587510599, -2.5, -3.396831253, 
##     40.87518536, 25.15670036, 0, 6.412807807, 10.30816085, 50.70985044, 
##     134.9151673, 40.34420029, 20.40774715, 26.65541362, 19.50631545, 
##     33.4111411, 35.59577382, 32.47252714, 15.87645794, 8.393863259, 
##     13.20162192, 12.85377175, 14.20933939, 12.68013706, 12.47917034, 
##     18.82216575, 10.53039433, 1.943588105, -5.066903671, 4.859260797, 
##     9.463464564, 18.73220925, 18.21751417, 10.97403944, 11.62984957, 
##     16.23712528, 16.64243842, 10.2692071, 18.59501213, 28.92529323, 
##     29.99467398, 29.43760356, 43.60558351, 27.77383201, 5.4, 
##     31.09096661, 26.37031554, 24.57043412, 34.77046754, 23.32755739, 
##     24.34287951, 29.43933319, 14.0753877, -4.962238705, -15.10153429, 
##     2.767475916, 0, -17.33186735, -9.288126826, -54.71623736, 
##     119.028995, -148.7655095, -77.02443284, -46.05539917, -124.9045772, 
##     -51.378053, -23.3488132, -38.66362892, -50.1236383, -47.31322066, 
##     -36.96256088, 12.49725453, 4.662186948, 6.909234157, 11.80451514, 
##     11.05467734, 13.17179413, 7.988855567, 9.516345831, 21.87010767, 
##     35.65737159, 27.44084961, 18.15379284, 11.43205898, 6.72450154, 
##     10.7228497, 15.28628882, -8.869704262, 14.04897018, -61.54797087, 
##     -129.8243452, -78.53981634, -55.51211676, -61.42807132, -66.5196055, 
##     -37.37921748, -70.08027019, -62.9, -57.13031518, -66.36896594, 
##     -40.05701291, -46.18441753, -62.5357739, -46.98828492, -43.65739457, 
##     -28.05367917, -38.52034148, -54.77895159, -49.33374653, -46.24060989, 
##     -44.44947497, -24.31608692, -23.79411248, 0, 4.652841427, 
##     17.36450116, 10.95085409, -2.65637597, -24.8830298, 9.126661129, 
##     22.43573568, 47.33183317, -86.67895551, -57.98068169, -52.84263727, 
##     -51.99842163, -57.88835394, -70.63962549, -50.45420366, -57.41786169, 
##     -56.13675979, -54.06961368, -44.87789733, -47.82209258, -56.01389839, 
##     -50.77475707, -45.65445831, -53.8271622, -64.71321902, -64.32013224, 
##     1.856739983, 2.013468177, -7.354362245, 5.303302258, 1.698905696, 
##     1.853866183, 12.17420696, 13.40080534, 7.742329624, 8.357651115, 
##     6.856593764, 10.27655432, 12.01872714, 13.39542492, 15.88958178, 
##     14.19294719, 7.896798113, 10.03084236, 11.55596337, 13.22915448, 
##     17.03346776, 20.90467311, 29.40754438, 31.70058628, 14.61915859, 
##     0, -97.78331347, -83.72150032, -65.05308623, -69.28257909, 
##     -82.5215328, -64.50180364, -46.35091672, -57.54773984, -56.12593168, 
##     -56.87445548, -52.92467808, -51.70319525, -42.96801052, 16.50861504, 
##     18.02078292, 13.59707795, 13.99598917, 19.65774786, 25.06135735, 
##     26.4245349, 19.67357533, 16.67537611, 17.41773499, 22.3694333, 
##     26.67807779, 28.33155137, 38.64751547, 33.33668112, 44.47140901, 
##     46.68003363, 44.92445202, 40.57782665, 42.9774385, 52.12700154, 
##     39.17572601, 47.82148386, 27.0375597, 49.12532679, 76.65516318, 
##     93.91040248, 93.7, 116.4687236, 113.7728756, 117.7759556, 
##     125.9382784, 118.8661542, 118.9691953, 116.8994888, 119.0974262, 
##     124.4888037, 117.9324616, 118.8133149, 119.4254753, 120.2826889, 
##     117.8775179, 126.7763739, 115.7331222, 126.0972643, 125.3404938, 
##     117.631066, 116.1959486, 123.3646802, 119.1612676, 117.8071737, 
##     121.5029334, 116.4040583, 119.4361455, 118.2744494, 119.5525504, 
##     118.1573226, 118.3578285, 116.1, 117.1595008, 112.5242032, 
##     114.9617962, 120.3876193, 115.9463648, 121.2696813, 115.9655119, 
##     115.5714864, 115.9695279, 119.9053227, 124.8820691, 126.8362747, 
##     124.667654, 120.0042952, 127.6434248, 125.1621733, 122.1766733, 
##     121.9, 122.9927881, 120.0416412, 126.8263193, 129.9274976, 
##     126.3640505, 129.9999105, 128.6111281, 133.9485076, 123.1713236, 
##     135.883869, 127.4835768, 131.68071, 130.2958974, 136.0573066, 
##     140.053747, 139.9436144, 127.1809903, 129.9731331, 123.712187, 
##     127.809461, 120.5479395, 123.0763074, 126.9989111, 130.342357, 
##     132.6143808, 140.9236748, 142.1908195, 145.157506, 120.2186984, 
##     133.3, -71.58653046, -72.84776841, -74.68661854, -75.6140049, 
##     -75.43620465, -80.47593422, -79.87256359, -73.83637955, -72.88194149, 
##     -74.73645588, -73.90249683, -74.5, -76.40751244, -77.83946241, 
##     -77.6810157, -77.97514401, -77.87162527, -75.9258856, -77.82060101, 
##     -78.33508153, -76.20256266, -74.98243254, -75.51624485, -76.55254833, 
##     -71.92824521, -73.46822702, -68.9922074, -72.72795775, -73.25808341, 
##     -71.07187613, -66.73100567, -71.27380148, -82.69079031, -81.29904343, 
##     -69.42532065, -65.92605982, -70.64386702, -74.69476456, -70.3, 
##     -75.54041582, -73.08535392, -74.22251813, -75.10474819, -76.54968883, 
##     -76.14751769, -74.78869704, -73.79518374, -75.36304727, -74.11719536, 
##     -74.31664245, -75.39648275, -72.23334433, -74.34403027, -76.16184411, 
##     -75.5613068, -74.9, -74.60978821, -74.35650172, -75.39280487, 
##     -75.47654995, -75.55539947, -74.41677367, -75.71793167, -76.26195328, 
##     -74.06327735, -75.3100537, -75.64679407, -74.94830136, -73.99735472, 
##     -75.93720984, -77.94216667, -81.23854125, -77.85620004, -72.46405444, 
##     -65.22047404, -70.94566936, -63.88246528, -68.51745053, -57.43239524, 
##     -59.93459769, -60.39798815, -59.02326199, -61.13243811, -63.6605976, 
##     -74.62468686, -78.32296273, -54.97550256, -70.08821615, -67.19556764, 
##     -65.76423374, -64.91065216, -65.11953932, -61.30009069, -58.59648259, 
##     -52.91063956, -48.2244578, -51.07263187, -53.81549036, -61.16594937, 
##     -63.48445822, -60.38511461, -59.43558561, -54.77895159, -48.96877887, 
##     -54.11811025, -50.01521989, -62.58903373, -67.66120214, -69.23724373, 
##     -57.9501535, -61.60788096, -57.35794219, -61.74292414, -61.40471698, 
##     -61.55367857, -62.58688049, -62.12911315, -48.8815423, -47.65274435, 
##     -53.22093663, -48.63546154, -52.28665839, -47.2, -46.05039985, 
##     -61.92148525, -56.4219822, -61.11243422, -72.25392318, -69.09704502, 
##     -68.15774829, -73.92531215, -69.77466111, -76.90834197, -78.85111953, 
##     -76.21592809, -73.4528619, -70.1749127, -68.40894389, -68.09861808, 
##     -68.45440359, -62.74744734, -57.66080735, -47.09623427, -49.7708384, 
##     -58.92844267, -58.35021843, -68.81270474, -61.60473323, -59.62712122, 
##     -64.3, -56.93869636, -56.61581127, -58.28699398, -56.73648118, 
##     -55.35830615, -57.61454518, -59.45315998, -59.87906675, -60.01817065, 
##     -61.82102579, -63.11918996, -51.31820891, -54.0576469, -52.69945744, 
##     -56.50181461, -58.46272667, -54.81782189, -56.39045483, -57.11182623, 
##     -60.93323821, -70.96205648, -77.45563272, -84.23280482, -79.97547931, 
##     -79, -82.33618173, -78.88009478, -79.36126096, -79.51047216, 
##     -78.64972813, -78.57772289, -78.15829937, -78.62064888, -66.06197896, 
##     -59.5067957, -52.95115249, -49.45634008, -56.60081219, -59.19278499, 
##     -64.10117357, -62.02950901, -60.96931267, -59.13738112, -64.2, 
##     -61.38969751, -62.53130391, -62.49936973, -63.24001489, -63.63723002, 
##     -64.75991417, -64.26464073, -57.97234212, -54.0198746, -52.39527281, 
##     -47.26816465, -47.2482064, -57.58130996, -60.21930629, -70.36902922, 
##     -69.64693629, -66.50996006, -75.53864059, -80.6790949, -85.09320336, 
##     -78.63518454, -76.23273144, -46.86242973, -51.54689384, -61.77007611, 
##     -60.90156993, -56.96765474, -50.18645754, -66.5243467, -58.59317702, 
##     -57.61765033, -71.89681506, -70.14170393, -74.44406717, -69.26143115, 
##     -65.61404477, -70.1718687, -71.73321691, -67.50831381, -59.5, 
##     -54.09086694, -53.32308595, -48.01986214, -47.7934152, -46.36954007, 
##     -44.82847689, -56.09344741, -59.12467413, -63.20008442, -65.5646149, 
##     -60.11381141, -56.2728155, -54.09894361, -61.87266496, -58.40179587, 
##     -51.96831585, -48.79084254, -46.98138006, -50.72149078, -48.96503168, 
##     -44.52919191, -73.71141845, -67.02271643, -71.09717791, -76.67133602, 
##     -76.14985706, -76.34385854, -70.93267975, -74.00476066, -71.72646029, 
##     -79.6474198, -76.17311823, -76.29480666, -70.71725801, -65.47986165, 
##     -63.09784168, -58.99034165, -62.62752042, -56.69361497, -45.57913085, 
##     -43.85759701, -43.27472248, -44.47891159, -66.42858682, -68.50592218, 
##     -71.03261696, -71.09040742, -73.68541436, -60.1516938, -48.82082517, 
##     -51.4195202, -52.62317138, -56.331035, -57.35385458, -57.98311945, 
##     -44.26862058, -44.7797651, -44.69699545, -52.74587086, -48.96982963, 
##     -53.03810997, -64.95400746, -56.02628633, -56.11015203, -67.99464742, 
##     -81.31161, -81.64085018, -69.01548793, -60.75087012, -58.02024516, 
##     -60.54485637, -73.00358022, -78.03585512, -69.92685993, -67.88729285, 
##     -68.59794902, -69.13636252, -77.7757887, -63.57947241, -62.02411426, 
##     -56.21996898, -56.33764653, -43.10809357, -43.7653897, -36.66948937, 
##     -46.07024852, -49.57690668, -71.62610813, -68.97828118, -64.23402019, 
##     -61.13263213, -51.35202215, -51.3479309, -50.79934822, -49.7, 
##     -77.37232665, -66.20371619, -62.04384262, -59.42045448, -42.08841582, 
##     -42.33863288, -43.208379, -42.26345036, -44.30841336, -45.78032537, 
##     -55.48179726, -70.31759765, -75.11651748, -72.82094884, -55.00121639, 
##     -48.25906358, -40.27236661, -41.74240922, -42.95541945, -44.28635941, 
##     -45.25561112, -55.45872594, -56.6390433, -55.68452204, -54.66844093, 
##     -42.69719697, -34.3797054, -53.1, -44.94133761, -49.52518531, 
##     -48.12268106, -100.9842841, -101.4370374, -103.4678624, -103.1347596, 
##     -101.9833837, -99.45623885, -99.36302571, -99.38016072, -104.4232105, 
##     -101.0586739, -90.93453954, -81.98920893, -77.95293747, -80.72849956, 
##     -77.62797117, -69.40872598, -60.89382872, -48.69321236, -59.1, 
##     -40.11399421, -43.73327306, -50.38683845, -51.1621355, -49.3935068, 
##     -48.5377087, -49.59319352, -46.13047559, -38.22833311, -40.90785966, 
##     -57.14383948, -55.658533, -62.15078809, -62.52560898, -63.17128624, 
##     -64.8262939, -71.33157559, -82.78492037, -84.10040448, -89.90180715, 
##     -79.56679048, -90.44119704, -90.78036848, -96.08306678, -98.42852196, 
##     -99.92631124, -97.17787557, -100.2439748, -102.4869935, -95.68149885, 
##     -99.45590883, -104.6448188, -105.4499772, -102.6297208, -96.2401227, 
##     -93.47639382, -75.56172397, -72.5960378, -61, -58.62464994, 
##     -58.04400922, -60.2385887, -58.93633883, -53.61286981, -50.46928108, 
##     -56.13611192, -57.8546334, -50.88781908, -45.42754312, -40.73910732, 
##     -43.1423677, -46.10707742, -42.89438116, -37.37638938, -42.31960375, 
##     -37.30155657, -38.75614776, -38.79951452, -39.34153686, -39.03958292, 
##     -40.01348308, -40.88018868, -37.40798213, -35.57193614, -38.4108965, 
##     -41.20026359, -46.7459237, -47.17300977, -47.76406195, -47.416785, 
##     -49.11550032, -48.79491626, -38.00296757, -34.93706828, -56.27423494, 
##     -54.35422207, -58.26518293, -59.3793086, -61.83902399, -60.87515876, 
##     -62.37320989, -65.72503435, -67.70929292, -66.6809761, -64.51411765, 
##     -76.90064983, -82.07969905, -82.37329423, -79.63152602, -78.89775101, 
##     -88.3530099, -87.76911651, -87.97408637, -87.21831581, -89.65104985, 
##     -94.3687041, -90.79723792, -93.53177575, -99.38533098, -98.05126129, 
##     -92.91624836, -90.7873114, -84.92608588, -76.76148426, -64.42933292, 
##     -60.56700121, -59.90920041, -56.96916065, -57.1709498, -58.53060472, 
##     -55.70171637, -51.52317358, -50.78551551, -50.63914581, -53.83714475, 
##     -48.96157227, -48.5106926, -42.61072222, -44.78818655, -44.51720288, 
##     -40.83085518, -36.56387161, -37.87617, -35.91990105, -36.19021429, 
##     -56.14037459, -71.25376038, -65.81235948, -70.92194749, -74.42897739, 
##     -76.03284593, -80.44238513, -77.62516038, -75.29215685, -86.2126094, 
##     -84.86763619, -85.19138387, -90.89733067, -90.56792112, -83.47484682, 
##     -79.02369975, -97.49625756, -103.2361087, -105.0578034, -103.2290101, 
##     -101.9818214, -98.92186547, -94.28480234, -99.4835252, -100.8834161, 
##     -97.8017872, -95.69378683, -34.89704177, -34.45090964, -31.69037474, 
##     -31.55207263, -31.11520344, -28.72101836, -31.99145539, -31.95458385, 
##     -30.44170517, -42.76461726, -45.93644824, -45.34388081, -44.33700946, 
##     -43.41718382, -41.96499357, -37.2050237, -34.00358016, -42.4449207, 
##     -47.88706951, -48.3, -54.01969464, -65.45172255, -66.3097851, 
##     -72.9879537, -77.23429602, -77.39633606, -76.92064156, -78.98161883, 
##     -86.55944807, -90.32788683, -87.50629128, -93.85690657, -93.27479593, 
##     -92.23193445, -95.50584793, -101.3104232, -90.97414733, -88.90010485, 
##     -81.98602666, -86.1846465, -86.84039945, -89.00391965, -97.36814735, 
##     -101.8, -102.0183976, -100.1640058, -90.92270887, -94.14475148, 
##     -98.05006694, -88.46690308, -95.78731687, -102.6934474, -111.3852485, 
##     -100.8413695, -100.6368928, -96.85246711, -99.5530812, -98.84874122, 
##     -89.38615931, -86.99086952, -85.43157259, -84.71556333, -83.42680419, 
##     -79.38725368, -74.69150334, -69.54658528, -65.5469341, -64.48712958, 
##     -66.43136995, -70.65504178, -53.22631593, -45.51361383, -46.23582769, 
##     -49.61559555, -50.71528123, -48.4061982, -44.69565026, -45.24403355, 
##     -41.2128314, -39.74237728, -39.42114148, -40.75977621, -37.54178236, 
##     -35.46742428, -34.62321546, -33.5556256, -32.97896377, -33.84792024, 
##     -32.55732355, -31.91959243, -31.72530198, -29.0374793, -30.40242174, 
##     -31.8, -91.84065692, -83.09120362, -86.06012729, -88.5131613, 
##     -88.76917096, -92.22505086, -87.30993938, -91.76451404, -95.09417894, 
##     -91.20924724, -98.70601158, -101.9727706, -94.33630563, -89.5452281, 
##     -99.06636023, -99.04743089, -95.68647165, -92.05153478, -89.75125638, 
##     -92.62557524, -69.39508748, -70.70400734, -57.26509584, -50.84386417, 
##     -54.50115647, -49.66654434, -50.38464975, -53.67122391, -48.79206455, 
##     -42.98455697, -43.27052085, -36.40245533, -37.68040949, -36.72964043, 
##     -35.0532789, -34.32716239, -34.6, -73.96526906, -82.62345003, 
##     -80.73155038, -84.23658027, -84.06714475, -86.99518326, -94.4943295, 
##     -97.40956912, -90.135613, -85.8852328, -78.6356215, -78.09055414, 
##     -76.12402971, -77.7706167, -87.2800068, -97.35747928, -95.68746017, 
##     -90.08502837, -91.72376189, -89.49884073, -86.64547767, -83.24140958, 
##     -90.17481974, -95.12034844, -96.4805953, -92.11617964, -89.34563872, 
##     -91.03732113, -91.07064402, -90.7873114, -92.49655022, -92.90882207, 
##     -89.9718368, -84.43980697, -82.1522804, -82.2907208, -68.86516528, 
##     -64.74194456, -61.36641736, -57.17810811, -52.79329757, -51.86107943, 
##     -51.60054991, -56.03002314, -53.21820036, -55.37223977, -58.652223, 
##     -49.7437113, -50.61688813, -48.01858666, -44.49669155, -41.26759488, 
##     -39.53546945, -39.58452335, -37.99592691, -36.5, -38.53865573, 
##     -37.02395177, -37.03674836, -38.3604228, -38.08705801, -38.29770851, 
##     -38.64192597, -38.78729751, -41.38294222, -41.11881112, -42.57605345, 
##     -43.04347639, -44.75152555, -57.06208235, -59.32475569, -51.37158004, 
##     -55.90739426, -50.79196557, -48.57055127, -52.44987518, -75.69672113, 
##     -85.05456096, -85.1, -82.07234184, -88.3200367, -92.67508838, 
##     -90.51039955, -89.33163751, -91.50072037, -98.26086518, -101.5986117, 
##     -94.32780597, -100.4973319, -94.90181976, -96.04730909, -95.77893877, 
##     -97.67077632, -106.3100705, -100.9754474, -100.1466326, -101.9227815, 
##     -103.5578864, -102.8936788, -101.6923727, -99.73430789, -104.0544716, 
##     -102.2301585, -98.66000046, -99.53604193, -107.8335559, -113.7948281, 
##     -110.5655184, -105.601474, -105.8313013, -105.8113943, -105.2306396, 
##     -99.94502728, -94.59439048, -90.65039171, -91.80493083, -85.77776546, 
##     -74.25908602, -72.23803684, -70.04366703, -71.17171637, -73.32323535, 
##     -74.54672638, -72.6463541, -72.44051995, -66.55195616, -56.50749932, 
##     -58.79770224, -61.39798229, -57.24595212, -56.8, -47.84559207, 
##     -43.47283331, -44.65754024, -43.77399825, -42.58029732, -37.67420719, 
##     -37.80345988, -39.00967694, -37.18474905, -37.40852858, -37.43089846, 
##     -37.78243656, -37.29676012, -36.86128875, -37.69103444, -36.86603614, 
##     -35.67275916, -38.49585716, -38.05598224, -38.33849914, -40.6103613, 
##     -42.9992911, -41.83884698, -44.17624587, -51.20536469, -53.11845436, 
##     -50.48951757, -52.44796083, -54.8, -54.89250448, -42.96676655, 
##     -46.32284277, -50.01841962, -49.95012041, -56.10292137, -66.30607669, 
##     -70.47488529, -72.86518203, -77.20769468, -82.18562236, -85.71232426, 
##     -84.51802093, -86.99758113, -91.17467649, -96.16299876, -88.15634462, 
##     -98.8, -91.6008521, -94.62073054, -97.04317413, -96.19104491, 
##     -95.56919213, -97.06350992, -99.92119619, -98.2272263, -102.7289495, 
##     -103.5606743, -105.5293085, -104.3679547, -107.0441227, -88.99453756, 
##     -91.87692647, -94.82767093, -101.034506, -105.5068248, -102.3243683, 
##     -94.12881276, -89.27381405, -88.25318781, -90.73416491, -84.65718141, 
##     -72.41178964, -73.33446749, -75.38832872, -71.90418287, -69.42995973, 
##     -69.90909798, -61.6777154, -66.71324581, -34.71467369, -32.89788522, 
##     -33.20092319, -33.62600641, -33.16796738, -32.19039136, -32.84395945, 
##     -34.59814882, -38.10853309, -40.79465516, -43.0681852, -45.16562563, 
##     -52.54659016, -49.20616026, -51.64041961, -44.61505518, -44.69416296, 
##     -48.65150299, -51.96246146, -53.6431994, -58.90267693, -67.51238844, 
##     -71.45284093, -68.52138937, -71.90173096, -31.42058906, -30.51685213, 
##     -36.39456609, -35.67924176, -48.11718977, -49.34462018, -52.81797927, 
##     -36.20793412, -30.95187486, -35.00121269, -65.22365059, -64.79994173, 
##     -68.34944602, -70.31818304, -76.54728507, -80.01888445, -85.46583394, 
##     -80.5, -102.5551234, -102.5977312, -99.59980529, -98.09872054, 
##     -93.21721947, -91.88317975, -92.32929652, -76.51977339, -70.27829078, 
##     -67.52891613, -51.73277438, -50.44066722, -54.67266711, -57.77695923, 
##     -54.76452152, -53.41433925, -47.4823763, -49.63249423, -54.11882957, 
##     -50.5954653, -48.90658658, -43.43216387, -42.71872599, -44.94559001, 
##     -46.55779411, -41.42562794, -37.33406424, -40.25478198, -44.53848927, 
##     -42.98455697, -38.38136624, -35.58002499, -34.57679885, -36.502774, 
##     -35.13806661, -34.98747262, -34.30848305, -35.79259538, -40.40020816, 
##     -46.52063322, -47.01278843, -46.09610769, -46.19497927, -45.69608441, 
##     -40.01484454, -34.75932287, -42.18181784, -57.70138772, -59.11731343, 
##     -57.51622178, -47.01284662, -54.19106889, -58.19103274, -55.38007826, 
##     -47.84851352, -42.83332202, -39.45266604, -38.52682235, -37.32093818, 
##     -38.18693079, -39.24315549, -37.34987507, -37.28599584, -36.29848726, 
##     -35.54072184, -35.35710164, -35.78812954, -36.44792362, -37.18031626, 
##     -37.71924913, -38.03669122, -38.4108965, -40.28018405, -89.50931164, 
##     -92.95415598, -92.40637794, -92.72285593, -92.58066392, -95.68216527, 
##     -98.01818287, -96.64795637, -95.27542602, -95.627233, -94.36803204, 
##     -91.94627667, -89.80082588, -89.07182331, -85.13643293, -87.05426958, 
##     -86.87098719, -91.73284305, -96.61719571, -87.24440027, -93.34044191, 
##     -95.24605274, -92.43507777, -88.21472829, -85.52543652, -83.90565901, 
##     -90.15429755, -86.93810574, -85.86674871, -89.80574866, -99.54017431, 
##     -89.96969326, -82.09159862, -93.57765241, -97.45049177, -92.33061496, 
##     -88.71299449, -92.30249368, -95.62125033, -90.32701438, -86.5771056, 
##     -88.24548695, -92.81284076, -92.49278587, -88.67170783, -91.42492329, 
##     -88.92661379, -89.3, 123.0959417, 119.4953573, 142.6266174, 
##     120.2727073, 140.4072108, 118.6681053, 131.636005, 132.398929, 
##     126.1603006, 108.2462376, 93.2650292, 99.59658546, 124.7550251, 
##     144.2655278, 106.8344896, 139.6747126, 118.1550922, 135.2628418, 
##     125.7521856, 134.5619542, 107.76132, 58.5, 41.15556459, 43.32603199, 
##     57.40953425, 62.44205673, 56.89503185, 71.99944154, 91.51007006, 
##     98.16187488, 80.2457128, 77.14471902, 96.85418029, 91.8269665, 
##     116.4380766, 110.7148718, 133.2727985, 128.1044625, 98.82651228, 
##     146.2181412, 117.1777597, 149.878981, 144.2473099, 130.1860282, 
##     140.5647649, 136, 124.6133091, 116.4380766, 108.7252715, 
##     124.3116414, 138.1963331, 127.3819506, 117.9179359, 124.5943321, 
##     128.8531051, 100.1276868, 116.2704733, 133.6859748, 153.3597348, 
##     128.4651171, 103.6743753, 97.92105255, 139.5827281, 138.7138933, 
##     140.4001744, 141.419445, 141.3980641, 144.4004676, 146.2149364, 
##     143.0018885, 141.2070182, 145.3647409, 144.9444326, 144.6441332, 
##     145.3647409, 138.3260375, 138.796119, 128.4201218, 135.8442535, 
##     104.2647274, 103.3254363, 61.60215323, 127.2529971, 121.9499974, 
##     109.665536, 119.9522317, 127.7496836, 126.9790916, 133.917945, 
##     134.0461461, 124.8170753, 110.3231201, 107.2873456, 94.70579927, 
##     74.04487536, 64.1114701, 44.65045785, 56.57350255, 50.25034001, 
##     45.49034159, 44.1248158, 31.41051635, 37.02467637, 32.87411055, 
##     32.21668743, 34.14517786, 26.24227099, 27.77413546, 22.80704681, 
##     22.71127649, 23.85458197, 19.51970217, 17.70731548, 23.87503943, 
##     24.39266573, 21.32418449, 23.2, 20.67412387, 20.60398465, 
##     20.74273194, 23.4695594, 35.84433712, 28.50025277, 27.43747962, 
##     26.87599619, 38.39513156, 41.25970315, 46.27992919, 45.33846396, 
##     50.47523721, 62.40182615, 53.48746695, 60.54746695, 62.40898664, 
##     62.60465225, 84.10508277, 64.01067896, 61.22323484, 95.12539005, 
##     89.83515606, 118.1, 116.8141673, 115.483002, 131.0038388, 
##     133.2368642, 117.2101911, 109.4011878, 148.4156271, 126.5264314, 
##     134.5996444, 139.2633352, 141.1536501, 143.6036516, 143.6090868, 
##     136.8527178, 136.138895, 126.1846656, 117.0594771, 119.1519748, 
##     117.4412823, 116.8468046, 111.9131583, 112.3276352, 115.6289452, 
##     105.7861038, 77.99706484, 79.5, 66.28915977, 76.67028231, 
##     78.27370036, 68.52535012, 55.35725169, 47.59705341, 48.18101436, 
##     46.64596584, 47.60490603, 44.83044365, 43.39407621, 41.00550629, 
##     39.01230798, 37.42378113, 38.62185872, 35.53888521, 34.47395857, 
##     33.30282717, 34.97973599, 28.86553618, 29.22275261, 26.6390211, 
##     26.42881301, 21.30868303, 73.62811955, 85.9351079, 71.13643782, 
##     63.00839567, 56.15658119, 66.89280932, 102.1586037, 110.6130127, 
##     125.9008053, 89.06174863, 89.60413869, 92.76645511, 95.65700559, 
##     97.14296373, 98.34582832, 105.2636061, 124.7809164, 136.5717417, 
##     114.5237162, 104.9749136, 116.0982532, 124.8805888, 130.4286614, 
##     99.84380481, 111.8, 37.37398721, 36.63488933, 34.43573204, 
##     37.54468901, 35.55799012, 35.10031282, 37.18779958, 34.4866231, 
##     34.94750422, 41.45506567, 48.50110435, 38.80728635, 40.85811873, 
##     48.12716741, 57.55124905, 62.7, 60.55446636, 61.69170243, 
##     59.82204994, 62.52358049, 71.25281775, 74.58905943, 73.18350731, 
##     77.1029389, 74.62284714, 82.74899042, 86.37628584, 91.88577439, 
##     94.14642836, 78.15221556, 81.93944847, 93.08861063, 92.75156907, 
##     93.05783463, 131.4030347, 118.789761, 105.184872, 106.2953258, 
##     137.5998152, 145.0166564, 110.1537048, 128.4655233, 139.6895138, 
##     139.3658245, 126.9790916, 133.195794, 126.0628585, 123.5317426, 
##     120.5938171, 125.3125776, 116.422081, 103.1214835, 108.1852842, 
##     88.70683033, 91.586268, 87.62866731, 78.4823545, 73.25551134, 
##     71.96546578, 69.20586345, 76.03917458, 78.85220352, 70.14945275, 
##     60.19537857, 56.02779169, 48.23929892, 46.87364767, 46.58011499, 
##     45.77279608, 46.86030259, 45.46820579, 47.17757907, 42.74496521, 
##     38.13352427, 34.74910054, 31.88762399, 34.75832014, 34.16486066, 
##     34.5947263, 36.20414, 36.05834237, 38.44943522, 41.86198832, 
##     40.57403428, 41.06069289, 45.36357821, 48.50708306, 43.75432753, 
##     43.75846701, 48.67678814, 54.13742397, 62.11653903, 54.02300044, 
##     65.89753159, 57.28312167, 61.35926475, 70.78201138, 71.25123492, 
##     70.54427882, 67.25686874, 72.29719542, 78.4204245, 99.78876764, 
##     113.0045479, 122.1853286, 108.0216825, 100.0216539, 98.88721972, 
##     94.03252881, 94.50585527, 93.71032077, 117.4626147, 120.1676114, 
##     117.6150155, 113.2918404, 111.0676627, 112.3086928, 113.5807527, 
##     112.8372828, 117.0837418, 117.4848372, 118.2555608, 115.4454375, 
##     112.2674957, 109.0133548, 126.8263193, 114.0533645, 97.64898598, 
##     90.70959454, 91.27229974, 97.60528284, 97.60528284, 92.02365891, 
##     88.5920609, 93.00112255, 86.52918089, 75.94096945, 76, 78.05668958, 
##     92.64724131, 78.25382034, 71.22973746, 65.31754983, 68.34482346, 
##     61.8231933, 63.40380773, 60.29726092, 57.41830237, 55.50727415, 
##     51.63530509, 49.38219282, 45.40883845, 44.52762951, 42.74766922, 
##     40.8204488, 36.24278365, 36.18485789, 38.92224255, 36.30438567, 
##     34.53924882, 34.65938453, 37.53047174, 36.43317125, 37.30339314, 
##     38.12080384, 39.68271252, 40.21083447, 38.80860439, 40.72402704, 
##     44.99197261, 44.87183812, 43.51259626, 60.61460302, 55.98760441, 
##     59.21410673, 44.2252316, 52.84180265, 51.58127869, 46.81064678, 
##     59.35090652, 64.62201228, 72.01072621, 63.58194288, 69.47862774, 
##     65.38271988, 60.5104374, 80.18233442, 104.6947074, 104.8837042, 
##     106.7012769, 113.8534305, 100.4979131, 100.5474081, 90.64377521, 
##     89.60026426, 92.27253198, 83.13237535, 82.63893159, 84.13166654, 
##     79.32513144, 69.89515696, 65.5490011, 62.65489722, 62.90980085, 
##     49.71451383, 46.97672159, 42.05343353, 43.28190156, 39.87013635, 
##     38.3272429, 37.5, 31.54591424, 30.40934112, 32.47418524, 
##     32.13288717, 30.32631411, 33.0546777, 33.89525659, 36.56717269, 
##     43.44268288, 40.32022107, 34.476552, 34.78256956, 34.81628009, 
##     39.68060684, 61.25195738, 54.16950208, 53.11563582, 63.51173917, 
##     71.5996263, 62.37017162, 62.37017162, 62.37017162, 62.37017162, 
##     62.37017162, 62.37017162, 62.37017162, 62.37017162, 62.37017162, 
##     62.37017162, 62.37017162, 62.37017162, 62.37017162, 62.37017162, 
##     62.37017162, 62.37017162, 62.37017162, 62.37017162, 62.37017162, 
##     62.37017162, 62.37017162, 62.37017162, 62.37017162, 62.37017162, 
##     62.37017162, 62.37017162, 62.37017162, -16.25964744, -39.93250602, 
##     -50.79426806, -12.35928286, 0, -3.516537485, -14.97861942, 
##     -12.1990653, -28.09964911, -16.13322427, -8.054609647, -8.408188642, 
##     -14.90511291, -9.258223702, -6.522359577, -9.832133555, -18.55793588, 
##     -18.52935473, -8.5335406, -4.106892976, -2.768005965, -8.689283227, 
##     -2.843059209, -4.137242775, -8.313325092, -7.104065935, -12.6, 
##     -26.39507883, -23.91184894, 3.447934391, -8.498223275, -3.072683729, 
##     0, 8.416560456, -51.91656514, -47.14815585, -52.71429169, 
##     -52.71429169, -54.71623736, 26.28439994, -17.99343624, -3.852809202, 
##     -3.852809202, -7.734383054, -20.87800138, -20.6, -14.77569257, 
##     -16.31626572, -10.08579218, -7.092531596, -8.240402777, -8.430307085, 
##     -5.274535556, -5.274535556, -5.274535556, -10.10585825, -19.07973769, 
##     -26.72777623, -22.08035654, -20.44392076, -12.77024676, -14.51823328, 
##     -21.20763442, -44.97596131, -36.69021532, -22.04238798, -16.71578047, 
##     -29.75316086, -41.32738085, -25.01837834, 9.132959692, 6.132356944, 
##     0, 30.64549803, 30.22757439, 50.82672462, -51.48059551, -110.3095951, 
##     -85.60556345, -40.93519194, -29.78392402, -43.81490306, -19.1647195, 
##     -42.05343353, 18.75478447, 24.31608692, 3.069063837, 29.84989316, 
##     31.87323782, 14.32298874, -5.4, -10.96884013, -13.61263464, 
##     -9.287513659, 1.37170899, 5.877484818, 3.335341457, 6.308283258, 
##     2.632338661, 14.29807735, 90.2675246, 14.75829923, 18.07946724, 
##     33.66315216, 41.15470526, 25.06519636, 33.23244416, 103.2898367, 
##     72.29793534, 45.9, 36.91975, 52.96824697, 41.29206106, 93.80474918, 
##     115.7105825, 129.8243452, 78.53981634, 116.9549185, 101.2197011, 
##     6.54186961, 22.09930699, 3.640176499, 2.945426188, 7.177532815, 
##     0, -10.1442532, 4.485112319, -5.017804028, -1.170518374, 
##     -1.113404429, -11.9127234, -9.85273332, -11.98377208, -9.297531139, 
##     -3.4, -1.051137948, -10.98158329, -13.14979345, -13.63335467, 
##     -7.982292076, -3.007377204, 9.949036415, 4.869848449, -2.065187311, 
##     11.70525714, 22.14396973, 18.22174907, 9.289239921, 29.89156035, 
##     29.78392402, 62.85527607, 83.5567192, 57.53463973, 86.63971407, 
##     79.7854968, 68.37134582, 92.24461104, 70.65177522, 58.72916607, 
##     34.20058522, 59.74850585, 46.45377515, 35.65832404, 31.74972397, 
##     -94.75686521, -93.48759687, -93.37923613, -97.89676591, -93.41096123, 
##     -91.0039357, -90.41865474, -90.2948758, -87.88672932, -92.43286978, 
##     -90.11997523, -90.65259331, -89.17597684, -89.21217858, -88.1030795, 
##     -88.85811482, -88.6651451, -88.93273996, -90.61068178, -91.09192604, 
##     -90.53895794, -88.84836894, -89.58017014, -89.91133143, -90.65080312, 
##     -89.2, -98.01511626, -97.80142125, -96.51728934, -93.28173899, 
##     -91.13530139, -86.54188723, -91.59066741, -91.29140141, -96.09800006, 
##     -93.90579152, -94.36195629, -96.98257756, -98.22217355, -91.64694767, 
##     -91.62387207, -94.16343688, -93.21364433, -89.79637792, -92.61306646, 
##     -93.58484007, -90.72286652, -93.01444721, -90.59707698, -91.06913027, 
##     -93.21364433, -93.17294444, -92.78589949, -94.5461796, -94.07383305, 
##     -92.84927407, -95.07623236, -95.07623236, -93.03968948, -94.00283796, 
##     -94.19025772, -95.2183644, -97.38249945, -95.04682413, -97.81031125, 
##     -95.2183644, -92.85413881, -93.65636352, -93.58484007, -93.40364372, 
##     -95.04682413, -94.17936597, -95.47708286, -92.48131965, -91.28359789, 
##     -94.50802712, -97.54953037, -96.43171867, -95.52036181, -95.32420489, 
##     -97.54953037, -96.52502575, -97.9815416, -97.68308999, -100.2078102, 
##     -99.39992406, -98.20822864, -98.91622996, -99.24720041, -98.15178723, 
##     -98.15178723, -98.37495881, -100.2543062, -99.82848299, -100.1931812, 
##     -98.6498376, -99.04743089, -98.73595563, -99.88034481, -99.3, 
##     62.37017162, 62.37017162, 62.37017162, 62.37017162, -31.18902154, 
##     -19.3155849, -10.14478585, -10.14478585, 60.55446636, 44.29110441, 
##     44.29110441, 44.29110441, 57.69313452, 57.69313452, 57.69313452, 
##     53.18080969, 53.18080969, -44.97995607, 0, -5.474490654, 
##     9.3, 92.62305851, 71.12921685, 74.34412742, 140.7511087, 
##     131.3807563, 107.8253415, 111.2962606, 103.4197214, 110.0202524, 
##     111.8718022, 112.6289406, 111.0242335, 116.9544989, 114.0840088, 
##     108.7263744, 119.2828015, 118.5080343, 122.3189467, 116.7846633, 
##     103.6862276, 104.2004749, 112.4518492, 106.8273785, 113.4137365, 
##     109.6886059, 121.4563249, 97.4417054, 96.34087684, 90.80757722, 
##     89.54385116, 87.12241997, 79.33468605, 71.78074492, 65.00646439, 
##     68.80539018, 59.20301501, 52.91007368, 54.14111967, 53.28325118, 
##     51.55300999, 49.58849239, 46.97235757, 43.8159655, 40.8, 
##     23.46823712, 23.54490233, 25.14288796, 26.12056597, 24.58031779, 
##     28.4102403, 28.99262291, 27.20976941, 28.45534003, 29.93362442, 
##     37.92899926, 30.21999564, 29.47768328, 29.99766929, 31.46151028, 
##     52.39325801, 54.86351292, 52.94283572, 53.78044901, 55.21173932, 
##     55.34227589, 60.10949079, 60.23682712, 50.23162148, 63.52289397, 
##     41.87059796, 31.59134881, 5.54132321, 17.26357367, 39.47911197, 
##     -23.79411248, 2.403772101, -7.314361165, 7.667153535, 8.017848314, 
##     7.620016192, 5.308073379, 10.46613114, 17.70902352, 31.18902154, 
##     30.33027697, 35.51283548, 42.91596531, -58.98712258, -55.26338306, 
##     -32.65213768, -30.56405953, -58.93176631, -46.34981455, -66.69486261, 
##     -60.96224567, -64.67617282, -53.09351466, -59.42506614, -67.10477048, 
##     -63.33005645, -67.5404226, -67.49314205, -66.51991045, -68.56666292, 
##     -51.23833687, -53.50728329, -45.01966899, -53.77786908, -57.20716603, 
##     -49.51953349, -50.30624263, -50.42955121, -44.20823972, -48.92600051, 
##     -52.57650656, -64.61433137, -59.51636347, -54.61119648, -54.55396749, 
##     -54.29979059, -50.97339021, -51.84923543, -65.83822628, -62.54564621, 
##     -62.11907173, -62.17524731, -67.7922048, -79.3349358, -82.48497113, 
##     -75.11174439, -66.45507664, -69.41021132, -74.85980949, -74.02239482, 
##     -72.35709399, -74, -62.56784027, -73.73713487, -75.39648275, 
##     -70.26612675, -72.88293511, -69.20829193, -66.77713329, -62.50747528, 
##     -58.62803666, -48.18072054, -46.86928953, -46.69191468, -46.79639831, 
##     -51.24650661, -56.01663047, -56.43812494, -57.04031831, -65.19917865, 
##     -65.7235382, -67.72606813, -58.32954545, -61.36943988, -65.18730317, 
##     -57.56846244, -56.43956677, -53.78638076, -44.49383483, -34.4, 
##     -55.50863807, -53.98685361, -71.78265359, -66.28500896, -73.03209334, 
##     -75.67487229, -75.58413686, -74.56131278, -78.55729122, -79.6065497, 
##     -78.02474136, -72.5635744, -69.50821289, -76.01040282, -77.41864088, 
##     -75.05964509, -73.05409342, -74.14883767, -75.35682434, -63.47088473, 
##     -59.27514636, -58.7, -74.73253047, -74.58886846, -80.75369066, 
##     -76.05276878, -76.74168534, -69.74197341, -64.42465672, -73.21527484, 
##     -76.12026136, -71.0248523, -77.95307776, -76.56771002, -76.54794906, 
##     -72.04914135, -72.51887897, -75.05633051, -72.73007203, -74.71867902, 
##     -75.68313573, -76.8015863, -76.33695775, -75.14904958, -75.32320249, 
##     -73.11663222, -75.81867942, -76.59545589, -76.15114242, -74.16748621, 
##     -75.93720984, -74.5, 118.3847465, 118.3559886, 118.3559886, 
##     118.3559886, 118.3559886, 118.3559886, 118.3559886, 118.3559886, 
##     118.3559886, 118.3559886, 118.3559886, 118.3559886, 118.3559886, 
##     118.3559886, 118.3559886, 118.3559886, 118.3559886, 118.3559886, 
##     118.3559886, 118.3559886, 118.3559886, 118.3559886, 118.3559886, 
##     118.3559886, 118.3559886, 118.3559886, 81.3987374, 71.54518634, 
##     62.43017104, 56.0610897, 50.37555021, 41.21572841, 41.8525006, 
##     41.56135447, 44.38701055, 40.2954656, 39.21263017, 39.42027908, 
##     44.18365801, 47.63370063, 47.01208787, 47.08858169, 51.175328, 
##     55.15834113, 48.70334291, 56.45071217, 52.38712314, 56.84615446, 
##     58.91569869, 61.76117821, 54.07653466, 60.29266902, 64.82450862, 
##     67.3, 137.0371215, 134.2016506, 97.67932604, 91.94789628, 
##     88.59511504, 83.23598345, 84.10505214, 69.73033753, 65.47402695, 
##     63.13894433, 60.40902639, 55.53575326, 49.12470214, 45.79863151, 
##     43.74051269, 44.23568173, 43.38012356, 40.91924496, 37.90295158, 
##     35.38120839, 36.4202488, 67.81105741, 72.18503423, 85.48052124, 
##     80.41168335, 93.94331993, 99.19899697, 98.3660421, 107.0639821, 
##     113.4978244, 123.1019838, 131.5453508, 132.701081, 141.7790036, 
##     115.7522518, 103.9826724, -11.95948865, -31.28643951, -38.50919937, 
##     -12.58228904, 44.89485735, -4.752932688, -21.78371162, -64.94854031, 
##     -45.22048647, -41.80812189, -41.98910472, -45.8, 60.62659689, 
##     11.95948865, 0, 0, 12.28792815, -23.48221501, -23.39279036, 
##     -38.26530083, -50.04709191, -34.53009053, -37.56427534, -28.60221749, 
##     -34.02982042, -32.06507824, -7.015750298, 66.22575182, 75.78522747, 
##     130.4577838, 141.8105726, 139.4, 53.86646149, 54.9338781, 
##     55.2428883, 59.28848819, 60.98515636, 58.46856655, 64.54183846, 
##     67.05374923, 68.08373696, 68.34344187, 69.54537313, 75.04958983, 
##     79.79783249, 86.67851495, 86.16715217, 81.75237946, 86.66601363, 
##     110.7148718, 131.9802427, 102.3010927, 94.8, 127.3744856, 
##     120.2826889, 101.4829884, 98.77586914, 82.31731891, 76.67296275, 
##     74.46683267, 74.12726133, 67.18032167, 66.33306372, 58.20836271, 
##     56.80294636, 62.20741653, 64.57153385, 68.38242088, 53.2739256, 
##     64.05180474, 53.6600287, 53.81332975, 26.62827031, 27.35254565, 
##     41.73564851, 26.42737141, 18.72778683, 9.805187721, 20.63940298, 
##     28.72065682, 31.91487441, 28, 17.78208694, 13.38239584, 13.48679557, 
##     19.36721991, 16.03531352, 27.05085246, 23.68720341, 36.15670983, 
##     38.29981281, 64.70166409, 31.55792013, 32.05092682, 48.35253945, 
##     44.46029673, 78.16775834, 92.11880874, 78.52593131, 77.55166935, 
##     133.4901446, 131.6988329, 125.0873206, 129.9025766, 131.7037233, 
##     129.1805734, 130.0740475, 113.342837, 118.3381765, 109.4157115, 
##     102.2404617, 95.74803714, 104.6209275, 94.34175109, 82.01395179, 
##     73.10292817, 88.52295357, 106.8866265, 113.4169167, 102.4031385, 
##     91.43770737, 139.7292117, 154.9522941, 151.0435471, 137.7039795, 
##     95.75889779, 91.39537992, 105.7748206, 105.2294093, 114.937712, 
##     95.49934801, 94.9956243, 111.7069484, 107.8063625, 102.437479, 
##     116.95284, 122.1, 76.59127121, 90.28269148, 90.43033323, 
##     102.5482586, 123.970025, 119.6462711, 119.1519748, 120.1574548, 
##     114.9687462, 121.046185, 99.93056646, 102.1815213, 106.9993628, 
##     113.4842055, 111.0056027, 109.695982, 111.902695, 96.52836748, 
##     97.72076943, 93.78370433, 93.18180955, 85.68081469, 103.5593749, 
##     105.2744319, 114.3, -48.87585362, -42.9319873, -44.03729938, 
##     -32.15201219, -27.8000651, -33.87509296, -70.73692185, -34.89185573, 
##     11.58835148, 15.0804919, 28.19456707, 14.40000432, 15.63066072, 
##     18.88324397, 14.48738951, 17.47235845, 20.13375115, 14.93548492, 
##     12.40854408, 11.89032349, 11.48158264, 14.70238195, 8.814232945, 
##     4.450529744, 6.750478676, 3.249170377, 6.644901541, 8.405030256, 
##     18.41635875, 15.28174809, 13.56488887, 2.896292715, 1.182135782, 
##     4.063888146, 3.247040518, 11.10355452, 21.00653688, 24.31812528, 
##     19.0065223, 11.67401957, 7.271324589, 1.963743619, 24.24021863, 
##     50.04174035, 59.4, -9.328452139, 5.865466468, -18.39488598, 
##     79.9685822, 100.2280531, 18.53335119, 22.14940182, 15.93266679, 
##     17.36450116, 30.91989123, 22.8258369, 25.17884763, 23.71293871, 
##     16.42256958, 18.26266363, 18.26175285, 21.3670969, 8.564978972, 
##     9.479455618, 10.98589571, 13.40482394, 12.86598441, 13.96381171, 
##     15.3, 19.20299487, 21.47234269, 14.43159425, 1.150896082, 
##     3.404916618, 10.69495881, 10.40548073, 14.99229097, 14.52100979, 
##     10.12800636, 10.2295615, 6.893114416, 13.58762145, 4.158302119, 
##     -0.585821306, 0.582769318, 0.557992044, 6.001527178, 7.515731134, 
##     13.55841063, 11.21862649, 4.125295303, 21.13505273, 36.79595843, 
##     38.99993486, 10.56054402, -31.91166202, -34.35808059, -27.0549763, 
##     11.04882324, -11.05820194, -9.687533739, 46.3647609, 120.3622493, 
##     79.30126709, 31.07662946, 0, 15.86203283, 97.92105255, 8.546191389, 
##     4.846913382, 12.41153047, 29.11133661, 47.73453824, 42.50793259, 
##     34.8294214, 29.80492643, 45.48802017, 31.6546391, 37.2952089, 
##     40.47094614, 42.98688401, 36.95712299, 32.23890258, 22.45504717, 
##     25.07263284, 16.10402804, 14.99439761, 11.42680226, 13.72431315, 
##     15.91671371, 13.4213, 18.51109243, 18.51109243, 18.45075327, 
##     8.959610244, 6.659255612, -1.198256607, 9.432756429, 10.26900042, 
##     12.36732612, 13.42482924, 10.66497544, -1.488907092, 11.82575431, 
##     21.3, -16.10158137, -24.79468374, -24.9474825, -2.842484873, 
##     22.21490035, 49.39413689, 115.0261992, 69.13486099, 3.302891426, 
##     21.73733646, 67.77728731, 58.16965592, 33.04972702, 28.6651917, 
##     20.31688581, 24.98566394, 26.77670906, 26.85349008, 22.24320189, 
##     27.90816205, 24.28313681, 16.36107468, 11.31754364, 9.559693465, 
##     12.26441939, 126.1712281, 134.3362403, 131.9888109, 100.1493944, 
##     95.80730359, 105.3855539, 110.4146706, 123.2978659, 65.7409375, 
##     81.59275374, 75.09748714, 76.08712405, 59.60743022, 52.82389624, 
##     50, 53.80669548, 48.6200481, 46.66533448, 40.44379383, 47.31944892, 
##     47.98710097, 47.85964327, 23.6263739, 18.74768537, 13.12974711, 
##     19.81319686, 14.36988055, 20.92412648, 22.06866685, 14.04897018, 
##     16.58222929, 21.13351653, 30.69203227, 37.00653711, 40.30082833, 
##     48.54529941, 47.09385666, 56.5827948, 64.14166501, 52.91182066, 
##     55.83275084, 110.942534, 99.29076708, 83.0312803, 91.11247445, 
##     90.68985374, 88.70683033, 140.9704422, 113.4456359, 114.5642571, 
##     125.4852707, 134.4263926, 124.491337, 132.312768, 122.7377125, 
##     125.1621733, 115.0221696, 108.7322094, 105.5939832, 105.8185174, 
##     81.93459162, 77.40392863, 69.71859304, 74.58631544, 67.9362263, 
##     54.86178347, 65.58719991, 55.82755378, 67.28078916, 65.27955251, 
##     57.75773052, 60.14893916, 55.07904161, 48.60129644, 41.52867786, 
##     47.09104006, 52.19086407, 48.77614954, 33.24507666, 39.11403724, 
##     39.13136313, 40.91918797, 50.0163092, 48.17661191, 58.39430073, 
##     56.2, 58.68951316, 56.86209436, 69.25326217, 60.37351766, 
##     46.33112424, 45.75595762, 72.58515625, 61.95447494, 71.65164481, 
##     76.91071689, 87.86794251, 82.65755469, 83.47072902, 88.34305773, 
##     99.70831486, 92.36569552, 70.36613257, 79.65495303, 112.8136221, 
##     95.08270802, 132.3051324, 140.0950039, 120.6051424, 134.9746456, 
##     137.7236374, 123.9878791, 131.7958835, 130.9322857, 129.1488364, 
##     133.2398853, 128.8237981, 122.4230125, 129.7753237, 133.1680009, 
##     128.5459156, 130.2009178, 121.3656241, 124.2527515, 130.0188278, 
##     131.5299142, 123.0633393, 126.090779, 125.7297639, 126.2007268, 
##     129.9634934, 112.6543958, 119.0899924, 124.1882895, 125.4104679, 
##     129.4749732, 128.8776603, 121.5819726, 123.4492109, 117.5081449, 
##     128.274088, 126.3278296, 134.0995207, 126.7683808, 114.8116989, 
##     125.6621624, 126.3447815, 118.1573226, 116.1318006, 120.3636056, 
##     127.2177185, 125.9699932, 127.8385801, 120.9021223, 141.311144, 
##     123.6724789, 119.0124702, 117.4, 126.9682014, 129.0657818, 
##     131.9670924, 133.4061989, 131.3240598, 124.6715343, 129.7345047, 
##     134.2175676, 133.4824362, 129.1805734, 128.3880245, 123.9832682, 
##     131.9363375, 129.7753237, 113.7371831, 125.4874737, 127.4943671, 
##     124.3946551, 137.5221415, 125.7167684, 130.0227873, 119.2259384, 
##     121.0603182, 122.9197694, 125.4852707, 134.0323975, 130.8770925, 
##     131.5405862, 134.0977367, 124.0647784, 126.7993465, 118.3425668, 
##     123.7570575, 120.6870438, 127.0935475, 122.5163188, 138.1777569, 
##     129.5873157, 116.4375376, 114.9945302, 109.8109405, 114.6791828, 
##     122.749723, 131.75236, 134.3218802, 126.8885179, 113.0536765, 
##     129.4861583, 132.244257, 131.5794687, 128.5838977, 131.5708942, 
##     132.4808182, 133.7135542, 132.0564873, 128.2179808, 136.9447642, 
##     125.9079061, 129.5025687, 126.6789418, 134.1195694, 130.1081861, 
##     129.138461, 128.5775828, 125.9240103, 124.1565367, 126.5993302, 
##     118.0908743, 119.8563254, 118.4866186, 122.8379075, 129.428238, 
##     123.3, 125.2885596, 125.9316041, 125.0853765, 129.6491383, 
##     122.511026, 107.184372, 101.3998579, 114.6919718, 112.4972624, 
##     116.8232463, 117.5020784, 103.2784472, 131.244765, 128.0272369, 
##     120.5530734, 124.4379896, 135.2127381, 106.4222408, 116.8770023, 
##     119.6462711, 121.7516721, 128.3088343, 138.2849261, 103.0684806, 
##     110.6250147, 114.2732083, 128.6259718, 131.9259007, 135.6970209, 
##     129.7420634, 134.4231774, 133.8516441, 129.3707196, 125.4914908, 
##     124.6468814, 122.9870648, 119.4452105, 125.8196487, 130.2350297, 
##     133.4924129, 135.3380849, 128.9366993, 132.3, 128.5215073, 
##     132.2373671, 136.3997399, 127.0047414, 132.8349304, 128.4685405, 
##     128.513169, 121.2665397, 122.4420467, 130.5585123, 128.8001425, 
##     120.8696375, 116.8035207, 122.0243535, 113.6, 121.0744847, 
##     119.8909924, 110.6392553, 108.5219759, 117.2283854, 140.5759716, 
##     129.7387292, 135.218887, 128.9366993, 132.9824637, 133.7583731, 
##     103.0955996, 126.1062329, 120.965894, 122.5519611, 127.2867956, 
##     129.6506944, 131.5678061, 111.5907012, 122.8336266, 133.9028885, 
##     131.4813131, 122.6421362, 121.4062938, 128.1424162, 129.6437977, 
##     133.2126144, 137.3400767, 131.6820781, 123.1329412, 125.7297639, 
##     130.0380683, 124.5743538, 122.4165981, 131.006278, 124.5242591, 
##     108.2470388, 127.3199636, 133.425014, 138.1740018, 128.5356319, 
##     111.5449412, 119.0381427, 118.1308197, 137.244434, 132.0105342, 
##     132.5523751, 126.7014687, 141.0158553, 105.7009544, 126.1432842, 
##     123.7189622, 101.4461898, 111.3085006, 140.0737705, 127.3220688, 
##     131.148267, 124.5943321, 127.2297395, 125.9553425, 121.1957291, 
##     126.3176506, 132.2913221, 130.1081861, 135.1688426, 128.3, 
##     127.0689448, 127.0411386, 122.5983789, 129.5914953, 128.7507956, 
##     136.7288344, 124.5891209, 131.324422, 130.4634579, 128.8033074, 
##     129.3848353, 125.4914908, 132.7403638, 130.0660719, 106.1921333, 
##     123.4668943, 127.7489118, 120.7405132, 132.7436858, 133.5519734, 
##     121.1175386, 125.9376871, 126.0598609, 129.2712836, 123.0253292, 
##     118.5885578, 119.898592, 118.3559886, 112.5495283, 39.41080443, 
##     39.41080443, 39.41080443, 39.41080443, 39.41080443, 39.41080443, 
##     35.78048532, 35.78048532, 35.78048532, 35.78048532, 30.62773692, 
##     22.14940182, 20.49815262, 18.53086543, -6.698168708, -6.698168708, 
##     -6.698168708, -6.698168708, -6.7, -6.698168708, -6.698168708, 
##     -6.698168708, -6.698168708, -6.698168708, -6.698168708, -3.588249978, 
##     -6.287985069, -12.99380445, -12.99380445, -12.99380445, -12.99380445, 
##     -12.99380445, -12.99380445, -12.99380445, -12.99380445, -12.99380445, 
##     -12.99380445, -12.99380445, -4.382482252, 26.52092593, 1.424844569, 
##     -14.38212125, -25.99135707, -24.06482163, -16.33637258, -13.94235852, 
##     -22.15154894, -15.6282798, -19.66189181, -56.40430582, -73.90195072, 
##     -50.22203639, -33.78414908, -33.78414908, -33.78414908, -33.78414908, 
##     -33.78414908, -33.78414908, -33.78414908, -33.78414908, -33.78414908, 
##     -33.78414908, -33.78414908, -33.78414908, -36.8493595, -45.75484394, 
##     -45.27201148, -57.81469092, -60.25282367, -59.4184887, -58.27640724, 
##     -46.18441753, -46.76240372, -48.66433423, -54.79327138, -55.51658799, 
##     -53.22985603, -46.64733507, -46.64733507, -46.64733507, -46.64733507, 
##     -44.5200684, -44.82081716, -44.87034051, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.2, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.2, -38.22207697, -38.22207697, -65.4270584, -36.36023622, 
##     -34.2822115, -43.75878888, -43.75878888, -70.42178795, -70.42178795, 
##     -88.50791643, -86.85593564, -91.00964974, -88.80689315, -117.6150155, 
##     -132.0061346, -53.18080969, -109.4914077, -116.6183088, -126.6300036, 
##     -146.2436781, -122.2025323, -140.5647649, -122.2025323, -91.1458269, 
##     -85.83193955, -98.58638108, -107.3389091, -134.8647323, -138.6570184, 
##     -114.8970956, -103.0376827, -100.3345852, -75.59694104, -120.3622493, 
##     -123.9467335, -90.68642997, -111.902695, -120.2682685, -125.7521856, 
##     -129.5153528, -129.5153528, -129.5, -126.4518958, -114.183373, 
##     -74.02239482, -74.02239482, -42.05343353, -31.7663193, -49.0707059, 
##     -52.7320466, -69.8997904, -73.52875657, -80.42210941, -74.31301368, 
##     -70.52048451, -59.42137038, -45.12819354, -46.70805992, -43.1898595, 
##     -30.62773692, -47.74363867, -33.21281979, -119.1237639, -70.05763163, 
##     -120.3622493, -92.36971293, -116.8994888, -66.1067893, -51.48059551, 
##     -103.0461648, -111.6681166, -90.48518739, -83.03973909, -91.30323064, 
##     -92.57567678, -112.7959729, -101.5675159, -90.77330905, -107.2626643, 
##     -131.8734464, -126.1603006, -92.8946181, -106.1056648, -120.7498453, 
##     -128.4744885, -87.60580506, -95.53166181, -35.5602583, 24.17746801, 
##     70.22569315, 43.32603199, 41.76527692, 15.57553068, -21.99879774, 
##     -45.04574722, -76.34675114, -85.58000523, -75.12997164, -41.95064927, 
##     -33.97005899, -38.63944801, -24.29364797, -30.0413254, 7.626784922, 
##     -115.7105825, 23.10906672, -75.90702093, 31.35703557, -118.4649477, 
##     -16.92370867, -103.8314543, -97.92105255, -97.83217097, -78.53981634, 
##     -94.09567928, -71.85323687, -76.51367551, -87.48802933, -107.76132, 
##     -111.8003487, -110.7148718, -45.20961266, -122.4749396, -135.656376, 
##     -82.16079136, -88.76123753, -102.1943182, -117.0537364, -141.8146998, 
##     -122.4749396, -114.183373, -121.0576042, -130.0246564, -121.2025657, 
##     -116.5904541, -37.37921748, -13.77962246, 57.40953425, 19.36583004, 
##     85.19663272, 50.70985044, 45.9619331, 0, -91.56886325, -65.20725718, 
##     -60.96846765, -88.65816012, -91.39537992, -64.33593796, -54.16368728, 
##     -65.38146398, -45.2, -49.95398473, -134.3044089, -116.8994888, 
##     -15.82821675, -63.97841737, -63.97841737, -63.97841737, -63.97841737, 
##     -63.97841737, -63.97841737, -63.97841737, -63.97841737, -63.97841737, 
##     -63.97841737, -63.97841737, -63.97841737, -63.97841737, -63.97841737, 
##     -63.97841737, -63.97841737, -63.97841737, -63.97841737, -90.48518739, 
##     -77.85486341, 11.65110628, 34.46514971, 46.2264958, 31.45897426, 
##     -38.1, -30.78870916, -50.82672462, -49.36907009, -70.70184753, 
##     -70.70184753, -70.70184753, -70.70184753, -70.70184753, -70.70184753, 
##     -70.70184753, -70.70184753, -70.70184753, -70.70184753, -70.70184753, 
##     -70.70184753, -70.70184753, -98.04953028, -81.48269164, -74.92842973, 
##     -74.92842973, -74.92842973, -74.92842973, -74.92842973, -74.92842973, 
##     -74.92842973, -74.92842973, -74.92842973, -74.92842973, -99.3072385, 
##     -77.98356259, -92.24397811, -92.24397811, -88.63321329, -86.43657879, 
##     -69.89515696, -67.94426105, -67.94426105, -67.94426105, -99.42375737, 
##     -101.8469666, -93.66687474, -93.66687474, -93.66687474, -93.66687474, 
##     -93.66687474, -93.66687474, -93.66687474, -93.66687474, -93.66687474, 
##     -93.66687474, -88.92264578, -88.92264578, -88.92264578, -88.92264578, 
##     -88.92264578, -88.92264578, 103.4202245, 111.6671079, 132.4599938, 
##     124.8068094, 110.6525049, 105.5247319, 112.487618, 125.5873203, 
##     116.5923012, 106.2701176, 106.2701176, 114.2800175, 94.9956243, 
##     102.9696801, 92.20795397, 73.43357968, 64.81111078, 77.99706484, 
##     83.35930592, 79.9685822, 70.3084993, 74.9752294, 72.3597087, 
##     74.84972044, 66.70830543, 61.0579206, 49.76186734, 59.26947803, 
##     61.10042782, 62.36619823, 47.33458187, 42.79075242, 23.14140972, 
##     25.1, 16.19554557, 20.39884967, 13.01269944, 11.80248653, 
##     29.19634172, 13.46948513, 12.00380745, 3.376439396, 11.04882324, 
##     10.47330393, 36.73145458, 47.3523752, 7.619862566, 10.27136089, 
##     34.64156841, 25.21467801, 29.94682936, 32.66623714, 26.10520462, 
##     22.3917434, 38.03986643, 41.49439075, 92.54269601, 74.0864914, 
##     52.50481935, 117.4235782, 121.5116635, 128.74283, 133.0736401, 
##     127.5096412, 128.4275391, 32.14904538, 121.2176649, 113.0953744, 
##     135.9702994, 60.74576672, 44.28310622, 66.82145859, 136.7108399, 
##     143.3000102, 142.5528913, 140.7343476, 104.2721878, 110.0612429, 
##     83.74800622, 57.56913572, 104.8992428, 63.11562111, 74.33573026, 
##     31.38651037, 6.818186733, 22.12475482, 15.67763488, 6.323153703, 
##     7.637281258, 26.52092593, 50.59378414, 29.11133661, 22.42495806, 
##     44.1400893, 34.15471947, 76.33993653, 67.99674494, 50.1384844, 
##     34.53129482, 79.46365643, 75.54041582, 91.78569164, 66.84620656, 
##     17.4672199, 30.93394869, 60.65075955, 53.91841172, 90.60452299, 
##     70.88280415, 81.32476126, 102.0047732, 53.49559071, 81.05303007, 
##     73.95047075, 50.5, 11.86963685, 55.51211676, 14.61915859, 
##     23.63763931, 8.665688085, 91.78569164, 34.80268789, 16.76229715, 
##     23.41393616, 34.60143768, 89.06514022, 91.69189165, 80.66811856, 
##     82.99013446, 53.82271488, 31.45897426, 122.1699341, 72.21226075, 
##     51.15050411, 30.8438324, 55.57425843, 97.35693932, 99.69907174, 
##     68.31415742, 60.43052063, 53.2, 50.61899196, 51.21483889, 
##     76.04471916, 75.91393752, 61.19202749, 54.01439777, 91.65257428, 
##     110.7148718, 73.31941878, 53.84459286, 35.86102473, 36.97582906, 
##     18.73934092, 13.2628836, -5.821131172, 9.213905663, 22.56551541, 
##     15.98472773, 28.50034671, 37.51143473, 19.02660285, 16.05324008, 
##     27.70148162, 38.49907095, 37.38695623, 33.45089664, 50.50406291, 
##     35.09348451, 57.43048302, 31.46780874, 46.34746958, 0, 41.38053136, 
##     38.79571974, 57.53463973, 28.71183184, 43.38104671, 94.17356424, 
##     86.75616412, 43.81490306, 47.63779127, 78.19617102, 61.46629519, 
##     48.204795, 71.77689096, 108.0636325, 41.92462746, 85.59320273, 
##     80.1853208, 62.10806932, 57.37295834, 69.98339029, 86.99058939, 
##     80.42261421, 95.80016792, 45.47292167, 52.91812983, 29.97490145, 
##     40.6284425, 22.10826203, 24.21559822, 15.91820555, 15.03034691, 
##     26.61355755, 22.16361066, 35.45320368, 82.36520324, 53.09696027, 
##     122.1320586, 19.64409914, 23.79411248, 85.53940073, 91.1458269, 
##     16.98462881, 54.43846665, 73.74615128, 26.61996171, 4.176952931, 
##     102.0047732, 21.5125892, 20.93352762, 47.43481295, 42.72699247, 
##     36.77672845, 72.09696025, 150.0203148, 122.2025323, 84.31859378, 
##     40.7126956, 38.00760751, 3.739352407, 10.66816693, 12.7, 
##     19.72418933, 27.65904758, 12.10315973, 4.252753462, 0, 0, 
##     -6.935610512, -4.500732044, 41.72098434, 45.16334411, 104.8304294, 
##     46.16605154, 125.6178206, 61.58879101, 18.49951862, 48.49863228, 
##     33.82881087, 6.229756883, -24.91336857, 18.34513652, 67.85256343, 
##     106.1056648, 72.66423407, 63.98932021, 46.13686807, 87.54085135, 
##     121.9528199, 16.18043247, 23.11843031, 48.33540175, 93.37606387, 
##     53.18080969, 67.05556913, 31.31928132, 40.39333065, 116.4650207, 
##     74.99760053, 45.97902576, 40.99851031, 33.3839806, 15.1525554, 
##     32.43275131, 8.740765229, -5.117004439, 0, 5.835429696, -6.527916052, 
##     7.811344362, 51.8658407, 19.83032253, 14.54551203, 21.92430952, 
##     46.10077095, 17.31396389, 28.1309449, 55.42618345, 43.72004473, 
##     40.42716341, 14.32556055, 78.03475725, 37.62680556, 40.73257806, 
##     39.42443751, 67.86342436, 10.46215262, -6.181219276, 0, 30.83097971, 
##     58.76023767, 52.769705, 13.94235852, 24.63884096, 71.15694099, 
##     86.6, 56.3567601, 35.81302684, 27.48239952, 54.35838085, 
##     54.20816159, 75.16749693, 73.28151018, 50.51180952, 23.34158629, 
##     12.42216623, -9.238448, 7.200236867, 11.30623527, 9.275909134, 
##     5.242025586, 0, -5.671241591, -10.76508638, -9.699551981, 
##     -12.36925901, -9.654243837, 0, 5.883203565, -5, 65.96317263, 
##     67.17131424, 70.54187779, 93.09384561, 10.32570045, 0, 23.12246076, 
##     10.35718999, 2.895612678, 18.39488598, -5.49719081, 8.310932179, 
##     -2.772790155, -9.307104039, 22.92319333, 3.775153428, 45.58497509, 
##     15.12244445, 24.844454, 85.91247548, 82.28364038, 75.76871864, 
##     26.15144906, 35.11847177, 42.38868161, 38.03149511, 23.07059025, 
##     81.47189948, 18.32183636, 19.46290861, 11.26580405, 25.51823906, 
##     21.86689459, 38.03149511, 30.62773692, 25.21836547, 10.37699847, 
##     21.60849723, 52.05081634, 103.0461648, 80.66811856, 105.1235032, 
##     91.22972438, 73.80997267, 52.16056137, 52.65697294, 26.22642514, 
##     30.83097971, 8.336563652, 23.79411248, 0, -10.64664729, 19.71556135, 
##     0, -10.75340967, -18.66492648, 10.30816085, 40.48917863, 
##     47.3688282, 102.431356, 148.2637084, 99.94820534, 30.40558589, 
##     96.87234065, 35.85653675, 50.91296131, 137.0249969, 30.80675219, 
##     86.0459849, 101.6726851, 88.69115612, 57.40489853, -24.09445469, 
##     135.7104011, 111.8481971, 23.70002025, 32.54596152, 110.7148718, 
##     7.797315138, 11.58835148, 28.29628819, 48.47671336, 81.13838858, 
##     89.22706925, 63.39711192, 75.54041582, 59.74850585, 43.72004473, 
##     86.0459849, 89.6912248, 70.43991861, 64.95332111, 37.95732589, 
##     54.85494025, 75.68345056, 54.78640593, 25.65549817, 33.21281979, 
##     55.85993153, 36.32719259, 42.31676857, 51.04009687, 49.01480833, 
##     57.1, 59.43250161, 45.71747817, 42.05343353, 27.10402478, 
##     22.46225586, -58.1493728, -59.10372271, -59.83572994, -60.27318579, 
##     -51.7275138, -48.46493764, -53.19944555, -55.39265804, -57.32700336, 
##     -58.28829564, -57.75010715, -53.11490473, -36.12207429, -50.984283, 
##     -53.64417667, -53.01343716, -56.16013792, -62.87721134, -66.04771238, 
##     -65.6202881, -56.27337554, -60.31350341, -64.78092644, -64.82631361, 
##     -66.57321576, -71.61598466, -72.40917159, -72.4104644, -70.49207884, 
##     -68.80019375, -69.06297882, -77.4694269, -79.35200193, -84.34764748, 
##     -83.18526771, -78.42245682, -72.86221144, -70.51697573, -68.7627272, 
##     -68.38519289, -74.30706653, -77.26238865, -80.66121518, -79.73425509, 
##     -73.20515421, -76.62075062, -77.0699744, -73.3587681, -76.6, 
##     -77.16119555, -77.71863235, -77.22801974, -78.00670339, -78.31466701, 
##     -76.72325758, -75.98277339, -77.5290647, -77.50164639, -77.62554279, 
##     -77.66760473, -76.10165275, -76.10165275, -76.61350385, -78.23293012, 
##     -77.98356259, -77.49914986, -77.74856784, -77.3966294, -77.93208626, 
##     -77.48111344, -78.15713897, -77.30755785, -77.37497013, -76.92460176, 
##     -79.85413556, -77.06997362, -76.47570432, -77.49818735, -76.80807938, 
##     -77.31555305, -75.59428876, -78.11063748, -77.14225832, -77.48233569, 
##     -78.07387591, -77.82200413, -76.89400426, -77.57878976, -78.23415262, 
##     -80.66993252, -78.78857358, -77.52071874, -76.90668476, -78.1751823, 
##     -74.10572193, -79.47277686, -74.51578163, -76.34528861, -77.5448243, 
##     -77.36653809, -76.50548879, -77.14547177, -78.07267489, -79.80849739, 
##     -75.672192, -75.94417801, -81.35976139, -81.18002725, -79.48634997, 
##     -77.81757028, -75.19288222, -74.65316336, -77.65180676, -77.48233569, 
##     -77.894219, -77.54905859, -79.73447733, -75.5083472, -71.139532, 
##     -78.0137213, -78.52019287, -78.51798599, -87.68712141, -76.69121081, 
##     -75.7, -76.40263087, -75.34051386, -77.31448357, -73.87735116, 
##     -78.40158893, -78.66889887, -80.01217242, -78.14126965, -75.42455839, 
##     -77.2498166, -76.24680768, -74.98524415, -77.77248746, -78.90098641, 
##     -78.33565284, -76.9638987, -75.96330933, -70.90848411, -79.75151384, 
##     -79.00338192, -79.00578444, -79.70359218, -75.18763726, -77.56335622, 
##     -79.92222468, -80.41933006, -83.2, -85.98429776, -83.60997161, 
##     -80.42668473, -78.47427734, -78.70073987, -80.36864818, -77.7989964, 
##     -79.76537042, -82.03093644, -83.68755275, -79.87135274, -79.57527063, 
##     -78.31466701, -78.72365398, -77.92831457, -76.47570432, -73.10507174, 
##     -71.36861863, -75.08329386, -75.58250434, -78.10804233, -79.0092168, 
##     -74.01499449, -74.55566761, -76.4, -75.25413946, -78.08030794, 
##     -77.82607329, -72.29712748, -79.01300952, -74.39666082, -83.15258019, 
##     -80.14015977, -76.62546708, -76.47702537, -77.98297352, -81.22980653, 
##     -81.43199651, -83.73777514, -86.54498658, -89.12341672, -80.83390519, 
##     -77.93632732, -75.03180203, -77.72929231, -78.43712616, -79.93882951, 
##     -81.36643716, -83.59279866, -79.33070079, -75.4, -78.0954455, 
##     -76.16034019, -74.14387256, -71.56858696, -71.67642703, -72.64633285, 
##     -76.61250392, -82.54188427, -77.95031561, -77.55938563, -76.09457887, 
##     -75.41519622, -76.24583449, -74.59593029, -75.29650041, -75.88221595, 
##     -75.72601567, -80.52471734, -76.54458922, -73.59721103, -79.69474891, 
##     -77.6828331, -80.34256353, -67.83955849, -72, -71.66693841, 
##     -80.0965936, -83.87218101, -83.54773876, -73.830986, -78.4822902, 
##     -79.11124662, -83.83492998, -84.34924484, -81.50760275, -79.86834138, 
##     -83.52222235, -84.80303508, -83.52963462, -81.5352271, -76.8765413, 
##     -70.6416708, -71.81355112, -69.84733943, -76.35003861, -77.32439682, 
##     -74.21617627, -73.0405853, -74.46699313, -74.3, -75.42104715, 
##     -74.68927975, -76.65048311, -72.01508599, -74.11984439, -74.58410554, 
##     -70.01462698, -71.65238939, -67.13520343, -78.11823696, -83.62796899, 
##     -84.45784105, -70.03519866, -79.56897042, -81.07275718, -85.57731485, 
##     -76.85902367, -73.13034336, -76.64836219, -82.96054242, -80.44408964, 
##     -74.38169827, -74.34809497, -77.12293876, -74.34162731, -71.71732222, 
##     -73.61477502, -75.23015832, -72.7275083, -74.27331581, -76.72762386, 
##     -75.22345056, -72.80800923, -73.19240174, -74.04227237, -74.40295933, 
##     -70.72673406, -75.74156566, -72.24152756, -79.27559419, -74.85118049, 
##     -76.16184411, -76.97489383, -70.39128716, -70.5435498, -88.57937716, 
##     -85.75855528, -83.30479232, -82.89497828, -78.93827188, -81.96423801, 
##     -78.38799818, -78.05239199, -77.09613703, -79.24078597, -79.65812044, 
##     -76.44287503, -84.53432409, -81.37961312, -81.53788956, -81.53475218, 
##     -79.45569358, -73.28696236, -75.28069785, -73.77882366, -73.3587681, 
##     -66.8, -71.32528188, -75.33152501, -76.56210035, -80.14746205, 
##     -78.97025234, -77.8021856, -76.72696511, -75.86534578, -73.60735989, 
##     -73.27635276, -75.99674935, -76.03450433, -79.35305581, -77.52725032, 
##     -72.63020173, -89.50543426, -75.57281059, -73.830986, -83.89783994, 
##     -86.56396216, -89.57592281, -82.38034689, -78.14084503, -75.42091099, 
##     -81.51537461, -83.25342233, -79.8185292, -75.35682434, -74.19813816, 
##     -74.08017398, -69.43282804, -67.95580689, -67.80430766, -72.43481832, 
##     -74.88333087, -71.30079798, -74.01279772, -76.68593156, -79.74800885, 
##     -74.53124615, -74.5977079, -72.43220449, -89.28887776, -80.95542662, 
##     -69.31962063, -69.83059175, -76.36366938, -74.3, -79.0238394, 
##     -76.95840297, -64.74569546, -77.29044806, -83.48152367, -78.49649099, 
##     -85.25781598, -88.75078499, -86.45151878, -83.46464016, -75.33990903, 
##     -74.42832079, -76.28158307, -78.16197899, -80.85778436, -83.43491915, 
##     -79.15137226, -70.73662115, -71.53067113, -70.95468829, -79.36691188, 
##     -79.83239613, -70, -69.32149823, -76.08076712, -72.44236459, 
##     -71.92550879, -77.42323522, -74.78384453, -75.69113763, -77.33945458, 
##     -74.32069925, -76.40254504, -73.76343556, -75.00371506, -73.84920544, 
##     -69.23106664, -81.4368936, -79.96597393, -75.40425986, -71.05329679, 
##     -75.05754643, -84.45502813, -88.5535838, -81.70969834, -72.10043082, 
##     -72.27682849, -74.38640367, -72.62787745, -74.69308483, -76.47675148, 
##     -81.70697597, -81.1767956, -78.03475725, -71.12652501, -73.55145513, 
##     -78.19280052, -73.30266257, -74.36462133, -71.50319685, -76.58333912, 
##     -76.87924311, -75.1491587, -76.71439914, -71.89650038, -74.59788088, 
##     -77.41192983, -78.31713539, -74.90895254, -74.19323818, -72.17438902, 
##     -72.9, -72.90763267, -74.44735981, -73.74304247, -72.00592695, 
##     -73.27909516, -69.089326, -82.71925917, -72.34282053, -77.95877744, 
##     -76.68024831, -76.36366938, -76.84817889, -72.74840083, -79.20838378, 
##     -79.37389746, -79.7693104, -82.81285632, -76.69333829, -73.60597195, 
##     -77.64235955, -79.52842108, -79.96346709, -79.10808151, -78.78915438, 
##     -79.54402794, -80.10639983, -77.6, -78.85008149, -78.44209222, 
##     -79.43424335, -78.8141616, -78.95741089, -79.79209889, -78.05405619, 
##     -78.41939298, -78.71130124, -78.695257, -78.19431717, -78.88009478, 
##     -78.58430435, -77.42677589, -78.99682069, -77.76754737, -77.73315237, 
##     -77.30551499, -77.33587265, -77.78619834, -78.28141898, -77.32999953, 
##     -78.88009478, -76.69722805, -78.55739332, -76.00092416, -74.88936107, 
##     -76.72898962, -77.05479185, -77.06501693, -78.94812483, -77.33587265, 
##     -75.58564593, -76.82301908, -80.71085379, -77.00275097, -74.77162579, 
##     -76.48736311, -78.33441305, -70.00063968, -64.45660258, -60.56327577, 
##     -63.50387488, -63.79251427, -61.42772399, -62.81595481, -64.31675821, 
##     -66.34862063, -63.69866032, -64.93613453, -67.75111074, -68.85629762, 
##     -70.11982515, -68.19170048, -65.17102045, -41.50463665, -51.86755987, 
##     -76.31053916, -65.6, -68.7824933, -67.02236777, -62.59177591, 
##     -67.33987468, -67.7259534, -65.35329496, -64.06706536, -65.43053057, 
##     -66.50133221, -65.03427956, -64.12553781, -64.05005833, -64.41140868, 
##     -64.03268294, -62.79191447, -58.44474866, -51.9374712, -45.11959779, 
##     -44.98979203, -52.94138416, -54.44741909, -49.50817115, -75.52198713, 
##     -65.37582683, -58.89751851, -65.70939368, -67.88373936, -59.35382634, 
##     -60.73154008, -69.06375833, -75.48538559, -75.5594772, -85.70786421, 
##     -80.1, -74.51228241, -75.23932274, -76.57012539, -74.70592122, 
##     -75.59694104, -75.0538854, -74.79444112, -73.30324935, -75.14813555, 
##     -74.70101058, -75.15386056, -74.96874419, -73.74442603, -75.86429419, 
##     -74.6073837, -74.3330465, -73.57046023, -74.54682106, -74.51924063, 
##     -74.9782305, -74.4409341, -74.2, -75.14940809, -75.68403353, 
##     -75.67883004, -74.79318719, -74.96369242, -75.22501774, -76.21592809, 
##     -75.32502493, -74.15238363, -62.00086595, -53.78134567, -48.33357343, 
##     -50.94604016, -47.41223694, -44.30118116, -44.30269327, -47.59962438, 
##     -47.551782, -44.29263828, -44.86458126, -45.61599341, -44.64268054, 
##     -42.33034494, -41.53909092, -40.12898634, -41.19274931, -42.75808131, 
##     -46.51857135, -48.2313841, -50.78555918, -55.92542206, -57.85247133, 
##     -68.78339146, -60.94730797, -54.44681262, -64.25930739, -80.89048291, 
##     -85.42948958, -87.1036848, -96.5, -39.26845506, -39.31434388, 
##     -38.23881546, -35.51637781, -32.38570078, -32.50259409, -31.63913299, 
##     -30.60623536, -30.20965326, -30.82878669, -31.47846382, -31.27534443, 
##     -29.97016355, -31.96963416, -32.67592689, -39.32499516, -41.21143149, 
##     -46.10776613, -49.30028571, -53.22027565, -53.38969265, -49.89942458, 
##     -114.6440524, -113.0860007, -109.8087562, -107.590588, -106.2275402, 
##     -107.9890178, -110.3473152, -109.3880885, -102.1424523, -104.5948774, 
##     -107.3651806, -109.0702113, -110.1122704, -106.4139852, -103.2782273, 
##     -103.6499986, -102.9327395, -102.8183083, -104.2722023, -105.1003848, 
##     -104.3478146, -106.152061, -106.5115991, -107.3708708, -107.4492668, 
##     -108.0596757, -108.6, -110.6534231, -105.107845, -103.7307984, 
##     -104.824444, -108.0364852, -104.9947195, -102.6493242, -100.7832614, 
##     -93.78070464, -98.70786447, -119.7846264, -115.5428778, -107.333218, 
##     -101.9658885, -95.48674475, -93.70733068, -90.38597929, -88.48568065, 
##     -92.41272975, -96.94751729, -97.20999994, -98.33074155, -87.1844846, 
##     -88.8291321, -92.4519892, -96.90324565, -106.6768198, -95.18508291, 
##     -96.55717097, -105.14044, -106.0835132, -101.9309884, -101.5900949, 
##     -101.3744501, -96.61963984, -92.67101857, -101.9919909, -112.0981907, 
##     -114.0208133, -110.5633703, -90.27883551, -90.44416498, -105.1476249, 
##     -102.8592422, -100.6544007, -96.14427258, -101.7771756, -100.9774326, 
##     -98.4140622, -98.33640927, -100.6052872, -98.86495081, -103.9704399, 
##     -96.69775597, -95.89662401, -92.4519892, -95.89625382, -95.31765426, 
##     -100.0684906, -94.57552721, -95.25097713, -101.5552165, -107.1139966, 
##     -101.8222707, -98.99128729, -94.37393842, -100.3957737, -100.366764, 
##     -102.0875707, -102.5192207, -103.7577976, -104.1385712, -99.80816001, 
##     -97.50905046, -97.29369977, -97.36024327, -99.04743089, -101.8632724, 
##     -101.4778117, -103.3200207, -100.3928399, -93.86183338, -99.09790799, 
##     -90.79723792, -97.07736817, -102.2287785, -96.2619445, -93.33808208, 
##     -92.87925351, -99.78301839, -95.47396342, -95.68051726, -92.5626381, 
##     -90.84019187, -93.22771249, -96.94964355, -96.16328611, -95.5545866, 
##     -94.70416523, -93.38407243, -90.29111967, -85.18931843, -84.01534079, 
##     -93.58638964, -93.79446818, -95.2715643, -96.97841188, -100.1919386, 
##     -97.11381674, -89.64184807, -87.24159482, -92.44713738, -102.0104795, 
##     -102.3, -93.74909646, -93.84275935, -96.45303579, -97.48895696, 
##     -96.85738499, -88.04173722, -88.90296317, -90.70852282, -90.84019187, 
##     -93.08004013, -90.59246495, -92.58605954, -92.73208472, -90.04285985, 
##     -89.82813435, -92.09298003, -93.91256108, -93.01608146, -93.55891897, 
##     -93.57939943, -94.36228807, -93.42113897, -94.43256329, -94.8, 
##     -95.15415533, -93.70413901, -96.61836809, -95.46581101, -96.20437827, 
##     -95.61126068, -96.71072911, -96.61836809, -98.49203963, -97.44645784, 
##     -97.92105255, -96.37882169, -96.28724319, -95.58462412, -97.27192658, 
##     -99.02225362, -101.3098367, -99.68564292, -94.89712272, -96.38495566, 
##     -93.13630682, -104.6740528, -104.0584559, -93.94578011, -99.1275703, 
##     -101.7962173, -101.4386798, -94.2601641, -101.2400623, -97.36464846, 
##     -99.5910388, -94.64125731, -96.55135946, -100.4325541, -100.5789656, 
##     -103.7783044, -97.95135905, -97.79813667, -95.54365667, -96.43710725, 
##     -96.7816546, -99.00636885, -99.12791562, -98.53627695, -101.0955574, 
##     -99.53421762, -101.7, -99.92702921, -95.79181836, -97.26441199, 
##     -96.67993715, -95.46581101, -96.8454797, -97.91096461, -96.12451793, 
##     -98.07978827, -99.55397635, -96.26864701, -97.41516983, -99.17206817, 
##     -99.10576385, -97.73835311, -97.50905046, -97.03051657, -97.83651771, 
##     -97.96807412, -99.45482317, -98.19908645, -99.73294553, -99.22378223, 
##     -98.23990171, -99.69609995, -95.29562222, -98.87046035, -96.45835922, 
##     -101.0710426, -95.66130646, -98.81452405, -103.7065134, -102.9983266, 
##     -100.0043898, -100.4735578, -101.717818, -101.4611957, -98.73595563, 
##     -98.82997622, -101.4163201, -105.342749, -109.0584882, -105.7473758, 
##     -103.4515226, -93.63159958, -92.09515577, -100.4862057, -98.89285435, 
##     -98.50657087, -103.5449864, -105.5426457, -102.4038183, -112.2880967, 
##     -98.6479298, -90.10619338, -86.66478806, -87.27256595, -91.87253653, 
##     -94.21555488, -99.6161043, -97.21927491, -94.93888911, -97.51124753, 
##     -94.93152513, -93.71877805, -97.43761441, -97.17448913, -98.48733966, 
##     -96.73872811, -98.1354775, -99.49421023, -98.20165474, -96.6693601, 
##     -97.26899, -99.81593884, -100.8415403, -95.96723451, -100.6343833, 
##     -99.38637901, -98.2788001, -96.53471797, -95.64410188, -96.42590917, 
##     -98.62621184, -96.95202105, -99.0996028, -97.57513742, -92.27985334, 
##     -98.84647426, -98.82286755, -97.37152775, -94.98498163, -100.1021141, 
##     -108.2072101, -108.2415972, -94.31323637, -100.1892819, -99.8, 
##     -100.7443985, -99.44182971, -98.6498376, -100.009067, -96.661174, 
##     -97.69982412, -101.3879328, -102.8160127, -101.7965625, -102.1752553, 
##     -100.1785093, -101.9465093, -103.9397662, -102.803244, -101.994359, 
##     -99.76455248, -101.7965625, -103.105609, -104.6683131, -103.4287822, 
##     -104.804452, -95.57377399, -91.04503003, -86.44030025, -83.32215301, 
##     -88.82307331, -95.55331402, -98.13794604, -94.39195291, -93.6178151, 
##     -92.01243199, -93.14345715, -93.02740141, -91.55006699, -92.08873163, 
##     -90.72154028, -86.10570429, -87.08838187, -89.33907762, -91.9022474, 
##     -92.03316263, -88.57144782, -88.81643084, -91.63199887, -91.07932641, 
##     -89.84858999, -89.76061643, -90.4, -89.84858999, -95.39800925, 
##     -94.54514812, -90.72082606, -98.07865393, -95.1004248, -95.87703872, 
##     -95.5305092, -95.30778669, -95.39490091, -100.6608147, -97.06338349, 
##     -111.002739, -108.667969, -107.7179309, -108.43952, -105.5442294, 
##     -99.71523562, -101.9545096, -102.803244, -98.56868112, -99.08993101, 
##     -101.31377, -104.1824589, -96.94265443, -98.82541972, -100.1047385, 
##     -102.1933426, -103.0875868, -101.4611957, -97.996107, -100.3648645, 
##     -103.5044005, -102.3752021, -96.76733429, -101.6827845, -100.4477626, 
##     -100.478561, -101.9433394, -100.4043476, -98.37568397, -97.4624887, 
##     -98.72251022, -99.92369086, -100.6173889, -98.94634987, -97.98801727, 
##     -104.7168685, -101, -101.1161026, -102.8377301, -103.4553701, 
##     -102.6384931, -100.7462746, -98.03006285, -99.78900722, -101.5736394, 
##     -99.30294638, -102.0846715, -99.88302586, -97.08868431, -100.077416, 
##     -100.73552, -97.91994542, -98.33640927, -103.2454202, -95.76241275, 
##     -90.22629003, -90.65180505, -98.31045431, -111.6867841, -111.4970469, 
##     -87.11103016, -101.9861185, -95.80063482, -97.31278998, -101.4967606, 
##     -104.1056014, -104.1858447, -106.960582, -97.76912687, -96.4732142, 
##     -98.83575505, -99.4032963, -98.51756594, -100.1481919, -100.1967804, 
##     -98.24260243, -96.51728934, -98.01751064, -97.20647671, -99.95610299, 
##     -101.5, -100.5305461, -102.5948501, -102.8764677, -102.31035, 
##     -103.7526473, -106.2966619, -99.5530812, -98.75404491, -100.9441943, 
##     -100.9953664, -100.6355582, -101.249263, -99.80208512, -101.9152664, 
##     -100.7759287, -100.4788384, -100.6361366, -101.9195318, -101.519468, 
##     -100.9338698, -102.0185875, -96.72033414, -94.53257726, -100.3569402, 
##     -101.397807, -101.0040472, -100.5194984, -99.99130172, -96.24508254, 
##     -98.90455691, -95.07658189, -99.62251301, -99.3072385, -98.92510564, 
##     -93.64095181, -103.9143379, -102.5580009, -96.137228, -94.8, 
##     -94.84381396, -96.29395804, -100.1785093, -102.0015771, -106.4255687, 
##     -105.2835635, -104.1341124, -106.0400115, -100.6018365, -104.9199098, 
##     -97.30345451, -101.3851575, -103.7297708, -101.2381969, -98.7571591, 
##     -100.5702805, -97.01091005, -95.01584991, -88.48654581, -87.84992376, 
##     -90.35001553, -96.10098771, -95.68263409, -96.95290483, -98.29690575, 
##     -93.9, -99.84116032, -97.73865095, -100.484635, -97.54764429, 
##     -91.1588167, -89.70810862, -95.46179981, -99.07173739, -100.0689193, 
##     -97.45049177, -96.38088189, -95.08226779, -95.47194843, -99.05090637, 
##     -95.39490091, -93.52548341, -95.82175884, -94.81446674, -91.7909435, 
##     -90.50774401, -95.93724629, -98.7847954, -101.0475389, -106.001193, 
##     -107.1374808, -84.55504137, -95.2236948, -108.6934847, -94.57400601, 
##     -94.7271595, -93.93180222, -103.648957, -110.7119378, -101.1004437, 
##     -100.4534377, -103.8540929, -101.1414557, -97.73333128, -96.06545187, 
##     -98.36102586, -98.80603074, -102.1875271, -105.7338052, -101.31377, 
##     -101.8968112, -101.8812482, -95.58871223, -98.61207849, -107.3267919, 
##     -105.084693, -102.0238561, -106.8238763, -105.4973024, -104.8957005, 
##     -105.0113236, -98.07971208, -98.95892311, -105.8347152, -104.4013483, 
##     -104.6235461, -102.4926452, -103.3075432, -113.6638353, -101.178783, 
##     -102.0846178, -102.1207921, -98.00151999, -99.47930416, -101.8968112, 
##     -100.9390041, -99.3, -103.2156669, -104.435609, -106.3697822, 
##     -101.2714357, -102.5269137, -99.74353983, -100.4939985, -101.5019646, 
##     -98.87942437, -96.5147641, -96.19107101, -96.0897549, -102.8868871, 
##     -96.78885635, -100.6739784, -101.7355688, -98.4, -94.87159143, 
##     -91.861637, -89.53036317, -90.38479086, -90.19403858, -93.29776229, 
##     -97.16600596, -99.87390739, -99.51873725, -103.5474827, -99.82213155, 
##     -100.050759, -99.08993101, -101.4089023, -101.218453, -100.5474081, 
##     -101.4580072, -101.7276927, -100.97202, -98.73889193, -98.40159318, 
##     -101.698061, -100.684264, -101.4061828, -101.6702069, -101.5333668, 
##     -101.3241059, -103.6473526, -102.4149517, -53.13038571, -46.10932544, 
##     -38.6415326, -39.62276058, -80.38669684, -84.26146093, -84.45530393, 
##     -89.45848938, -95.96899185, -109.4099221, -104.7433634, -116.2177187, 
##     -119.4531746, -115.7435234, -115.4254949, -117.8268103, -117.1386637, 
##     -114.6094803, -115.4141644, -119.2436321, -112.3449427, -107.5856945, 
##     -107.767042, -103.2154097, -103.1347596, -101.6398111, -104.2891963, 
##     -104.8758669, -101.1414557, -101.2197011, -103.3435433, -106.5147176, 
##     -100.1785093, -101.4317601, -100.0334614, -90.95179194, -70.36590211, 
##     -57.76239737, -59.60807384, -43.18669119, -48.42550988, -51.41560775, 
##     -54.86583977, -44.80205538, -43.33778219, -100.7054535, -98.7842895, 
##     -93.07036887, -98.29600843, -96.77020588, -93.43758502, -105.5219244, 
##     -102.1682455, -97.18821977, -97.59237827, -101.2880234, -96.85423581, 
##     -94.25942301, -98.2537428, -91.84185908, -94.93162578, -98.86495081, 
##     -105.5307905, -102.1, 15.67855656, 50.39258411, 49.17900575, 
##     20.57909255, 11.85039277, 19.1316122, 51.83672243, 49.56097349, 
##     35.60395175, 30.51962452, 18.95478429, 33.56816408, 28.19939458, 
##     10.44329443, 18.98978012, 53.33083266, 49.04193437, 33.1, 
##     28.53362255, 26.00948884, 21.10402718, 18.51875165, 20.15578061, 
##     25.0278685, 32.1404548, 16.11391669, 15.29839068, 17.12850654, 
##     27.5407399, 32.0373195, 17.43855746, 26.91341461, 28.6139296, 
##     26.50170674, 22.54014699, 18.41751194, 20.04567888, 24.90494558, 
##     26.42723458, 17.22295358, 23.89971452, 22.36707529, 8.8, 
##     20.63103395, 25.59152013, 29.97785753, 20.17217923, 29.41620633, 
##     21.98697623, 23.67656399, 25.59152013, 13.78178538, 16.90688257, 
##     25.4899565, 18.2948267, 22.48613392, 27.07640221, 32.76937336, 
##     34.8347094, 27.7636503, 23.18173213, 25.03713797, 29.2, 33.24261071, 
##     28.64792253, 24.10963791, 28.74501967, 35.3791858, 32.89433234, 
##     28.56346073, 23.42479251, 22.29816243, 24.17746801, 22.91090957, 
##     18.41870742, 19.65139285, 20.75243186, 19.5682025, 18.1517176, 
##     19.62045056, 32.60535535, 32.17505544, 29.20120624, 19.62045056, 
##     14.27692283, 12.52663588, 12.52663588, 12.53124546, 22.84899322, 
##     24.72610794, 16.4033941, 15.8381402, 19, 24.6799491, 21.99879774, 
##     24.34917158, 18.53421028, 16.53065612, 11.53504792, 10.97423077, 
##     20.88782879, 20.45990706, 18.1517176, 21.51733701, 20.80286075, 
##     24.07446461, 23.09412443, 34.13197093, 13.50994861, 18.10527745, 
##     16.24432112, 25.99385785, 43.13491628, 58.63430782, -13.75312516, 
##     7.614338232, 28.68382724, 34.14164887, 25.72400107, 23.00662886, 
##     25.38611006, 26.94422511, 18.05551733, 8.604261078, 11.18730626, 
##     31.0861745, 39.14324404, 41.97608763, 30.17470494, 35.38393751, 
##     43.00353902, 45.73550514, 45.34895499, 44.2017092, 39.44533195, 
##     25.97205409, 16.7935249, 23.83313376, 39.75010366, 42.005812, 
##     30.4, 33.50956829, 27.01636633, 23.93610437, 24.17685448, 
##     14.07299559, 22.30665351, 22.45539128, 18.88966269, 17.15105032, 
##     13.69639587, 17.75716071, 21.12895997, 13.26973329, 15.241383, 
##     16.4033941, 12.34044667, 17.34829608, 17.16129628, 15.241383, 
##     14.9053215, 13.6, 19.21379336, 16.88265548, 14.35480028, 
##     30.41106561, 36.36831845, 34.10215946, 24.17746801, 22.73192165, 
##     24.49499458, 31.80749627, 27.8000651, 32.49307459, 21.47809843, 
##     12.4865601, 28.69037732, 24.63398828, 22.13974754, 30.89521537, 
##     28.02696741, 17.24751676, 19.92866019, 33.7408001, 35.76193614, 
##     32.0398588, 23.63992286, 21.50849878, 23.4, 10.66791916, 
##     15.70781999, 15.96271216, 16.6563039, 13.56987511, 10.53301041, 
##     9.101382864, 4.498707422, 9.354492191, 9.621294785, 11.29381216, 
##     10.9021205, 9.905554468, 11.70309753, 14.26794934, 9.606485021, 
##     4.381547322, 11.34140209, 12.8854792, 17.88716998, 19.75827917, 
##     11.18950818, 7.097621232, 18.14917792, 12.02415621, 21.46154481, 
##     28.27417917, 23.99667861, 29.46339071, 19.24982355, 27.45849892, 
##     18.74835566, 23.42479251, 16.78013417, 18.14924655, 28.0818299, 
##     25.31343126, 12.53124546, 14.68933511, 16.6563039, 27.46472149, 
##     19.7268537, 13.56792332, 14.67562746, 12.97840599, 9.621294785, 
##     9.76161309, 13.46376116, 12.72598205, 14.10125375, 7.389259567, 
##     6.074803659, 10.1, 6.193804083, 7.294291188, 1.53111053, 
##     4.685785082, 7.747835709, 5.839159073, 14.68933511, 14.63485455, 
##     13.77962246, 15.29168151, 15.01694996, 25.7589253, 20.18428009, 
##     4.521129767, 13.23542988, 10.89815594, 14.13714185, 17.19078633, 
##     17.97727461, 19.65139285, 15.09012541, 13.9, 6.076906439, 
##     8.13502369, -2.836475283, 3.640176499, 12.22464035, 34.35808059, 
##     28.85486491, 14.04210009, 15.88394668, 20.5356884, 13.9581894, 
##     18.19420442, 13.94068579, 17.24929865, 19.68094837, 26.83708924, 
##     27.1376126, 17.24988783, 26.25252736, 19.34065852, 9.751767246, 
##     9.990183848, 6.890387545, 9.874214977, 14.55425853, 12.618236, 
##     12.44000912, 16.78013417, 18.26900772, 10.75317176, 8.920534355, 
##     10.53658954, 10.74683345, 9.346543884, 15.59422467, 16.78013417, 
##     11.54288672, 6.117994285, 12.35810307, 11.21238457, 18.28667175, 
##     11.04229141, 7.435688291, 13.7, 12.3566288, 14.35480028, 
##     11.05467734, 13.68214378, 16.04887481, 11.12706582, 9.033051028, 
##     13.78285386, 13.98099835, 13.97594014, 14.98976417, 5.61840795, 
##     12.35555529, 15.61261025, 13.59445286, 16.91420213, 18.10574011, 
##     11.54327424, 13.15881415, 9.711615064, 11.37103403, 18.93664838, 
##     25.52076445, 16.60792829, 16.0966262, 25.34401123, 16.5653552, 
##     18.21562654, 12.51608375, 11.31477624, 13.22845102, 17.58309849, 
##     18.02182428, 20.74186192, 17.15105032, 13.60532209, 39.93519872, 
##     34.36378893, 15.60500425, 18.4040385, 21.02204818, 26.9, 
##     11.45752822, 7.690799898, 11.10603873, 11.16521747, 11.16521747, 
##     14.89468262, 10.97827897, 9.226425053, 14.57141699, 11.53504792, 
##     6.334331684, 10.39162428, 13.91566683, 14.03700352, 7.018860254, 
##     8.206879428, -2.553908432, -6.972979491, 16.39701409, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.4, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 23.28243351, 12.70866705, 
##     19.12141477, 23.11843031, 16.77305103, 10.0532336, 13.46376116, 
##     13.77553599, 10.27636135, 8.139334043, 9.687533739, 7.857075347, 
##     7.910980228, 4.620308979, 9.547922569, 11.97391501, 11.53504792, 
##     7.969044781, 11.37103403, 11.45599373, 13.07511879, 7.736697479, 
##     6.22824633, 10.2, 14.68601, 26.32707793, 18.80365353, 13.50994861, 
##     14.90327772, 13.02446816, 7.966796485, 2.922070292, 14.17561712, 
##     17.89053783, 1.270240317, 17.76110514, 17.23657396, 14.87983452, 
##     8.507758565, 6.055976348, 10.3008474, 15.9, 4.604194911, 
##     8.30650992, 19.81520235, 18.74984259, 22.36946617, 24.82829065, 
##     17.22295358, 31.24610118, 28.516802, 28.73774565, 21.30004066, 
##     21.47530334, 22.52227186, 27.54254185, 34.92215685, 35.12277554, 
##     35.62294762, 14.58103314, 24.636424, 14.88596471, 21.41970198, 
##     24.48480487, 22.6, 40.39826233, 33.37208841, 31.20725295, 
##     30.37876459, 23.77919666, 21.38952245, 27.56427992, 34.9436476, 
##     27.24794195, 34.72693069, 36.79694381, 40.59376998, 36.2913698, 
##     36.09485143, 32.34975235, 37.69674456, 23.65584835, 17.37906437, 
##     38.05063771, 38.75319016, 26.14921301, 19.80265161, 26.00948884, 
##     28.84430005, 20.49607591, 24.8, -72.34667721, -69.43416083, 
##     -77.56934973, -76.97149261, -78.60808955, -78.65465168, -76.21592809, 
##     -77.9619797, -74.77162579, -73.44551444, -75.50404274, -75.94820364, 
##     -75.41725092, -74.45406699, -75.41837891, -74.62711313, -74.80647436, 
##     -73.82148912, -74.07608759, -75.42091099, -74.54682106, -59.39709483, 
##     -65.54992243, -69.33040253, -77.41795973, -74.77721353, -62.57054963, 
##     -60.23405568, -68.62759823, -75.46880181, -70.19933125, -69.00686148, 
##     -74.07608759, -75.9600238, -55.49576528, -55.89803212, -51.49354438, 
##     -51.78300869, -50.2538222, -62.28409923, -61.47584, -87.14551062, 
##     -80.17719808, -78.03480826, -78.68901041, -75.8098898, -85.16074276, 
##     -79.32079304, -78.33837013, -79.7635802, -80.20226802, -79.78790954, 
##     -80.00641586, -77.64332983, -77.55281515, -75.16071425, -77.32439682, 
##     -77.83191933, -78.57042128, -77.538573, -72.9, -70.88347145, 
##     -75.49511007, -116.5904541, -24.49786631, -31.6546391, -106.5669304, 
##     -89.22706925, -90.48518739, -86.63971407, -104.3640934, -85.08019114, 
##     -109.7438865, -101.5675159, -105.5329786, -95.82415885, -89.53036317, 
##     -19.36583004, 87.60580506, -81.2747141, -81.2747141, -81.2747141, 
##     -81.2747141, -81.2747141, -81.2747141, -81.2747141, -81.2747141, 
##     -78.5194165, -78.5194165, -73.90618012, -73.78150601, -71.24550574, 
##     -71.24550574, -66.96950539, -65.27456546, -61.25547383, -78.96880158, 
##     -70.93116677, -96.87234065, -64.29019624, -80.02745, -122.3280902, 
##     -125.7297639, -88.73297408, -129.2496668, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.22207697, -38.22207697, -38.22207697, -38.22207697, 
##     -38.22207697, -38.2, 130.1775804, 123.8565704, 126.7492042, 
##     128.3996966, 128.4593337, 122.7843537, 132.1591813, 123.9997417, 
##     116.6667735, 124.060414, 136.3574915, 118.7914065, 145.0300071, 
##     111.7963347, 145.9686524, 134.9706152, 107.9856714, 104.4475729, 
##     133.376511, 145.8188077, 141.8, 138.6570184, 124.5234904, 
##     115.3747085, 110.65321, 111.6504201, 129.31367, 125.8006267, 
##     128.3923232, 134.3189885, 132.2373671, 131.1123316, 115.242885, 
##     108.1339246, 122.7824376, 126.0717282, 122.3062028, 140.7506211, 
##     135.353263, 131.0642659, 134.6733633, 137.0782531, 135.9505491, 
##     132.1209401, 127.8517256, 122.5356136, 129.0979218, 135.1363664, 
##     123.5462194, 133.161619, 131.825022, 133.4780429, 121.1843071, 
##     120.4248392, 109.5205934, 130.6762961, 133.8824942, 138.9255516, 
##     119.1109811, 116.3987144, 109.476625, 123.2598839, 129.1903096, 
##     125.5888228, 128.885684, 125.7164956, 101.7980918, 107.9929106, 
##     126.6270029, 128.3571701, 125.908513, 129.6466914, 127.7496836, 
##     129.3717635, 127.0038387, 129.8117897, 122.6801922, 124.5159483, 
##     126.5334063, 122.1867152, 127.1546126, 125.3052909, 99.19459438, 
##     106.7825118, 125.1752805, 120.2682685, 123.4668943, 136.0670631, 
##     124.7666476, 134.056333, 127.6389204, 127.7352521, 125.9000087, 
##     129.5757692, 128.9098917, 118.1248605, 126.6, 127.7207339, 
##     134.8246168, 133.7343768, 125.6206584, 128.5568146, 102.2638447, 
##     121.7190157, 121.1325812, 122.4330175, 124.9045772, 124.4625999, 
##     124.147016, 125.9598313, 132.1330469, 131.6998322, 121.6313847, 
##     119.7079704, 119.0634017, 127.1326147, 124.9132883, 42.66274931, 
##     32.16129018, 33.55544843, 97.81225596, 71.85323687, 73.8513005, 
##     43.35001996, 44.80671448, 76.57852911, 81.85979092, 90.97531579, 
##     78.23306595, 68.8009342, 50.23162148, 48.06599947, 26.90152122, 
##     33.09460697, 22.32536811, 33.20594675, 43.40430532, 30.9470985, 
##     19.70823353, 25.86639632, 64.35011088, 39.65557123, 26.28092518, 
##     42.50793259, 54.0194552, 54.51174464, 48.62064665, 57.10476051, 
##     80.91600759, 84.03029591, 88.73297408, 58.44300733, 63.60569136, 
##     46.33927183, 40.70958426, 18.19220452, 34.92825669, 35.59156149, 
##     46.75151317, 35.11546122, 59.69220093, 7.697379103, 0, 9.939134876, 
##     4.244126851, -4.163355546, -4.071752516, -2.62281459, 5.71973772, 
##     61.62896361, 62.68400078, 59.15736481, 47.62084599, 50.32978253, 
##     57.69313452, 53.22389591, 49.65001354, 58.55901677, 60.10196614, 
##     62.24539072, 43.75019995, 38.93235123, 33.43010346, 41.71943731, 
##     36.81636135, 29.66452536, 20.65411303, 2.899261334, 0, 0, 
##     13.56315581, 24.84732239, 30.26375559, 37.61680723, 34.25190008, 
##     29.17340478, 58.62301254, 50.12523809, 44.03433565, 44.03433565, 
##     49.45906502, 34.33175308, 79.22250201, 54.11976631, 72.30747418, 
##     93.18180955, 83.72150032, 72.97276562, 70.06138763, 75.21049896, 
##     81.32476126, 69.68804437, 70.58075383, 69.68804437, 70.25411641, 
##     81.79265825, 66.34028035, 62.91576319, 62.38435593, 57.27753087, 
##     61.71400303, 76.74660326, 58.80913472, 46.51549615, 54.16950208, 
##     37.94077151, 44.38239107, 31.64441369, 32.55089045, 22.83956143, 
##     25.43432115, 9.218798483, 0, 35.2092136, 34.7933664, 52.91307248, 
##     48.65242196, 52.42931437, 38.21637462, 36.44509311, 58.99850981, 
##     83.49296859, 89.43668337, 99.66646336, 34.03249482, 37.97424052, 
##     22.56551541, 16.03135583, 14.95824015, -26.07185837, -9.410703976, 
##     37.01341946, 22.79615771, 16.96933711, 58.45514983, 60.03137368, 
##     46.89356158, 55.46909969, 65.57896698, 51.48059551, 44.7654846, 
##     40.28294893, 31.09750586, 39.2046409, 37.98957332, 108.9909047, 
##     68.0045169, 68.67528244, 47.55961824, 52.769705, 61.46629519, 
##     70.08027019, 100.5520233, 113.673381, 142.8899272, 126.6300036, 
##     101.2197011, 78.53981634, 90.18322525, 124.9045772, 106.5669304, 
##     131.0193935, 123.2906716, 96.27462085, 103.5593749, 117.0537364, 
##     117.6150155, 122.7772386, 110.5080098, 103.8314543, 127.9392447, 
##     90.68642997, 131.3, 113.3152926, 137.0249969, 127.2297395, 
##     103.8314543, 121.2176649, 126.6300036, 116.8994888, 102.7666291, 
##     111.8481971, 78.36680561, 100.528936, 100.528936, 110.9628588, 
##     135.0808349, 137.3400767, 135.0808349, 131.3131055, 129.5153528, 
##     123.2906716, 132.5817664, 114.4168834, 132.7275137, 124.7684877, 
##     114.656905, 127.1581422, 124.1565367, 124.5943321, 138.4401353, 
##     137.4822129, 135.9888579, 132.0572116, 120.1344428, 129.7748409, 
##     126.539395, 120.533718, 115.9038564, 123.51519, 144.4251167, 
##     128.6630475, 131.1131399, 131.0038887, 130.3917728, 126.8526311, 
##     129.6466914, 124.5007042, 119.8910503, 123.4180567, 129.5370223, 
##     133.5762006, 131.5259019, 130.437024, 132.6631976, 132.5629512, 
##     130.6395155, 129.9243241, 125.2085943, 131.8242051, 120.965894, 
##     117.3585703, 121.8130422, 111.1122946, 126.6789418, 132.091658, 
##     128.3313973, 130.811172, 127.2741985, 119.7802059, 113.4998335, 
##     124.7666476, 119.1229845, 118.5656657, 121.3063117, 133.4055706, 
##     120.070444, 137.3823712, 121.039125, 128.367146, 129.5153528, 
##     117.9615078, 129.6, 133.3486086, 132.5066065, 135.5985766, 
##     134.9983153, 133.8824942, 132.2684089, 134.8742151, 128.7896584, 
##     131.5673073, 137.6299635, 122.9870511, 121.5695989, 129.8887357, 
##     113.0021251, 109.0507047, 126.7681225, 137.3400767, 137.0875749, 
##     125.004402, 117.2406174, 111.1254356, 122.5673179, 125.2568466, 
##     131.6872292, 127.9228976, 134.2299688, 126.2007268, 130.6666034, 
##     140.2376183, 118.1746363, 129.5370223, 125.1105021, 126.7753345, 
##     123.9310441, 135.5794733, 126.6270029, 124.9776809, 132.488873, 
##     127.303263, 113.0568296, 105.8419706, 113.2636272, 131.7239877, 
##     124.9595763, 129.1029143, 133.6938218, 130.8187249, 123.5480455, 
##     104.6000555, 114.9230554, 140.6851784, 129.3, 107.5167319, 
##     126.5437747, 133.5871495, 135.0179311, 138.8873525, 112.8712536, 
##     121.1518787, 140.6724322, 133.8365017, 125.270772, 121.3424593, 
##     138.8551494, 129.4670949, 134.7358522, 134.3006293, 114.9365538, 
##     122.3410158, 121.3176179, 125.0873206, 127.3979316, 131.6023305, 
##     128.9317028, 127.2139491, 104.8962047, 111.8686169, 104.2508057, 
##     110.8851313, 118.2682488, 130.9445733, 125.218721, 133.2155183, 
##     89.20261575, 113.6628797, 123.0119497, 116.989742, 128.997068, 
##     134.6432847, 134.7614084, 123.7536257, 116.2591807, 114.0663736, 
##     121.2035535, 123.2997529, 128.9116898, 125.3525084, 121.3858499, 
##     124.0373679, 124.0652258, 124.9132883, 123.1446867, 127.0664139, 
##     120.3023372, 125.0881773, 130.7357333, 125.4100126, 128.1132566, 
##     122.4128867, 119.3934739, 121.292917, 113.554642, 112.4972624, 
##     143.2004373, 112.2651352, 126.0451103, 110.4537229, 101.2266177, 
##     100.528936, 111.6863681, 125.0873206, 121.0603182, 125.9507842, 
##     127.7726523, 127.1370742, 141.5143009, 126.9682014, 125.4231263, 
##     115.023428, 134.5969919, 129.4194158, 138.1033558, 131.7514226, 
##     133.9974215, 133.9847293, 130.4104007, 135.7128847, 135.2288765, 
##     128.1722276, 129.7345047, 132.5179561, 130.4324034, 126.4247389, 
##     133.1406295, 124.6927339, 124.2953687, 111.5107957, 113.8175726, 
##     130.3719697, 129.1195611, 137.9406746, 139.2660958, 130.5943599, 
##     131.0376931, 130.3649667, 134.6534213, 124.1009098, 123.2571321, 
##     128.2231531, 127.9150836, 130.2901779, 125.4104679, 123.6970156, 
##     118.4520442, 117.2651706, 113.7485156, 114.1317958, 114.8450209, 
##     108.3116392, 112.3380017, 108.3294148, 117.1595008, 104.8304294, 
##     130.6946957, 115.6, 121.8444906, 120.039081, 96.45303579, 
##     83.80768283, 94.88315332, 95.67010682, 86.0459849, 99.0557473, 
##     109.0982051, 96.98824674, 115.4212282, 107.4653756, 110.8285926, 
##     124.4770544, 121.7190157, 119.2158896, 117.3996368, 117.2120279, 
##     115.7463889, 109.0272683, 122.7181227, 128.8187172, 124.5037194, 
##     134.3617458, 129.3573161, 128.8057802, 126.6343738, 118.0069572, 
##     119.4038522, 130.0232592, 130.0232592, 128.1082551, 122.7, 
##     102.33926, 92.62444977, 93.1861015, 99.05115107, 91.01370854, 
##     95.91389667, 104.6324855, 101.1031579, 121.5027581, 103.9746287, 
##     108.4265011, 106.1495183, 116.3366475, 108.8555807, 139.2129094, 
##     143.6902708, 114.2323903, 113.860433, 118.3601374, 118.3553181, 
##     132.5622219, 128.6137679, 123.0107258, 126.2290031, 128.4785899, 
##     121.2703566, 118.7905851, 124.8879161, 123.8714121, 117.1384575, 
##     109.7438865, 107.6908425, 104.0649828, 107.8759549, 110.5836905, 
##     101.3475068, 91.26954235, 91.91970219, 77.32671423, 126.5331531, 
##     133.1400401, 118.6438181, 119.5495694, 132.167551, 95.86438298, 
##     68.94634921, 77.17515084, 76.4, 70.6858551, 79.24811567, 
##     88.4511715, 107.3742407, 103.4921053, 92.8665003, 97.83060913, 
##     109.8901031, 121.1009641, 106.896017, 113.2839855, 108.0060639, 
##     106.4295308, 116.0238879, 131.7822406, 139.566534, 116.5916804, 
##     119.3050213, 115.8481878, 125.9257704, 126.5236725, 124.7967766, 
##     121.1646131, 122.1733397, 128.1, 131.5453508, 131.6151949, 
##     129.4761147, 128.6075953, 129.2003932, 127.1129625, 128.0744007, 
##     119.6204869, 113.3725407, 115.6889617, 104.9379839, 95.57679389, 
##     93.96316693, 100.8056636, 117.2559854, 97.92105255, 133.7244834, 
##     79.9, 105.0279711, 89.63261201, 108.0648244, 104.3475288, 
##     109.5387332, 110.3695218, 126.3908354, 115.1918652, 100.7847775, 
##     110.7452472, 119.9557516, 129.0384622, 131.2852719, 117.9358597, 
##     101.2950867, 109.4518414, 114.5821811, 109.3955174, 123.7536257, 
##     127.5093148, 118.2559824, 122.0481271, 128.4056156, 124.3335493, 
##     120, -18.07672635, -21.83428794, -23.36394665, -15.21526749, 
##     -17.93260872, -15.04469279, -14.37096297, -13.20369958, -10.08784474, 
##     -14.73244989, -2.320774981, -2.121585573, -6.668317765, 8.771300376, 
##     8.080132588, -27.6, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.4, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.4, -16.69288047, -52.47069349, 
##     -55.80378253, -21.92522451, -19.50863023, -20.2964583, -24.31608692, 
##     -39.93250602, -82.16228747, -100.8874765, -102.2087497, -97.53457648, 
##     -81.78742388, -21.37450582, -21.35444626, -34.9770646, -27.88403149, 
##     -32.44508724, -29.78392402, 12.2271785, 12.58782599, 3.428627565, 
##     15.76797612, 54.344494, -20.63883145, -38.05063771, 12.52663588, 
##     -7.677189127, 21.36205913, -50.44982316, -46.05539917, 18.36040103, 
##     53.49885001, 49.57196303, 34.77433498, 0, 42.05343353, 32.17505544, 
##     99.38208909, 108.3180084, 87.62588612, 59.08727501, 78.03475725, 
##     123.9841439, 90.09699891, 57.828073, 118.9758331, 102.3175321, 
##     78.53981634, 76.55850554, 94.9484653, 87.60580506, 132.5817664, 
##     27.0549763, 28.15568005, 18.52595699, 19.55382783, 11.5294725, 
##     -5.689570482, -8.689283227, -2.862209818, 2.71897124, 0, 
##     6.351432768, 16.50783395, -38.20240478, -64.60684559, -78.25446286, 
##     -81.81506851, -68.29121241, -20.74264585, -11.42683324, -2.257234765, 
##     -14.48013091, -8.495496845, 0, 26.6390862, 24.7321034, -33.80828342, 
##     -2.560178095, 3.147103347, 0, 0, 20.35477824, 3.712200632, 
##     3.88758954, 3.844259002, 25.91801896, 37.58058398, 33.93529624, 
##     31.6139646, 18.21597428, 10.94720798, 0, 7.439802864, 38.57869316, 
##     65.4270584, 34.35808059, 72.29257146, 106.030157, 101.2197011, 
##     46.3647609, -17.49690457, 30.27459516, 15.68156853, 20.72175762, 
##     27.56427992, 0, -15.58603777, 0, 3.549612562, -3.375477493, 
##     -10.86077968, -8.080132588, -4.469158104, -4.822896449, -20.17116581, 
##     -12.21825121, -15.6282798, -13.20536242, -21.28629478, -23.69993428, 
##     -24.75934828, -39.01272977, -26.72409253, -23.88370171, -15.10925238, 
##     -13.35525701, -35.67018312, -40.26022902, -8.696353767, -5.051300763, 
##     -4.652841427, 6.8, 113.0285664, 24.17746801, -15.22066198, 
##     -25.01959204, 18.73934092, 15.76797612, 14.59966951, 7.694213917, 
##     3.92031311, 8.731504888, -8.113307131, 0, 2.27940891, 4.092156757, 
##     7.9687285, 6.976160202, -4.962238705, -6.60849082, -8.748194753, 
##     -7.3, -16.9993478, -18.46654183, -24.74144455, -25.24005567, 
##     -24.07504614, -3.191263751, -6.611198177, -1.831653399, -3.662078599, 
##     -2.088020947, 4.31464951, -2.328311344, 4.207342346, 4.697546545, 
##     10.50214329, 8.63132277, 13.1150796, 22.48143773, 20.94149616, 
##     10.85989013, 7.263269262, -3.007377204, 20.96784075, 15.12845228, 
##     0, 22.72865884, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, -88.92264578, -88.92264578, -88.92264578, -88.92264578, 
##     -88.92264578, -88.92264578, -88.92264578, -88.92264578, -88.92264578, 
##     -88.92264578, -88.92264578, -88.92264578, -88.92264578, -88.92264578, 
##     -98.27937232, -91.65257428, -80.22108239, -95.39253582, -132.343026, 
##     -99.46129624, -20.65411303, -137.0249969, -118.4649477, -126.7911458, 
##     -78.53981634, -50.64446434, -55.83799936, -117.8071737, -147.1127674, 
##     -62.90148024, -31.45897426, -66.72813369, -78.46277471, -77.65769073, 
##     -108.0636325, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -86.0011481, -89.02751021, -126.2985557, -130.9086111, 
##     -137.2853914, -123.5694157, -127.0532627, -100.9265067, -93.35514136, 
##     -81.68654726, -110.7148718, 68.8009342, 105.8519609, 98.96451799, 
##     101.8530036, 96.88566604, 107.8159423, 111.2045844, 106.5657293, 
##     91.68083033, 94.46307444, 86.27502039, 91.4, 86.19125585, 
##     84.05759304, 75.79829885, 69.68856482, 77.56657255, 78.32985149, 
##     75.35587086, 74.23007013, 77.01644942, 79.58551338, 75.30518299, 
##     76.88827307, 80.86243049, 85.19663272, 71.45110356, 56.34311527, 
##     66.10431689, 77.49200973, 76.27079304, 32.10859547, 110.7148718, 
##     78.92542428, 78.92542428, 78.92542428, -52.13580776, -44.66362641, 
##     100.3345852, 100.2, 121.2025657, 99.66646336, -77.94151146, 
##     -72.67733659, -67.93201413, -71.74018777, -78.65098125, -115.0261992, 
##     -103.6147152, -137.1449119, -150.8711542, -132.1096578, -132.4779899, 
##     -92.29117075, -77.49139939, -72.21433364, -86.96357071, -51.8658407, 
##     -34.74514012, -10.80428526, 113.5896667, 111.8481971, 115.8704414, 
##     113.7495799, 108.9119038, 106.6870486, 95.12513153, 97.80679207, 
##     98.56087173, 92.17898079, 79.47090837, 85.92915883, 87.66188921, 
##     81.75921474, 80.40627487, 76.27115, 71.96857826, 83.50291748, 
##     84.24292881, 85.64640757, 82.98001883, 87.85172862, 88.79280422, 
##     85.52939916, 81.1310062, 76.82653014, 85.87925446, 78.15125715, 
##     80.88573556, 103.8965934, 124.8068094, 140.8065478, 139.3182417, 
##     -60.62659689, -97.78331347, -85.1, -99.25155968, -79.97465726, 
##     -82.40416213, -127.8915177, -125.676963, -137.3348771, -124.5814161, 
##     -120.9773567, -110.3792336, -109.0016719, -104.9766919, -86.62489083, 
##     -89.80613877, -78.07921617, -109.5158611, -117.1777597, -61.78992469, 
##     -10.56054402, 138.6882039, 97.09284811, 109.7477995, 107.2626643, 
##     98.83469737, 108.3985664, 103.4501561, 103.072099, 101.9018776, 
##     93.79373433, 85.49360915, 88.36648867, 88.40885292, 76.20356589, 
##     67.28757573, 75.84017546, 85.62189052, 83.86842328, 79.99625332, 
##     89.66672079, 85.71387096, 84.36161816, 77.55973096, 85.50527371, 
##     82.57693085, 72.34080684, 89.2, 95.53166181, 95.53166181, 
##     95.53166181, 95.53166181, 96.65385246, 80.40747053, 80.40747053, 
##     94.43916493, 94.43916493, 94.43916493, 94.43916493, 87.60580506, 
##     87.60580506, 87.60580506, 93.02740141, 98.43756177, 94.6042458, 
##     55.51211676, 8.920534355, -106.7974659, -75.39010128, -76.07667893, 
##     -85.46394172, -144.3427108, -119.4953573, -118.2329778, -103.7344208, 
##     -93.50433429, -84.9, -68.63917838, -93.02740141, -53.18080969, 
##     121.4062938, 117.2273881, 108.1710714, 110.4794024, 107.7487923, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2450579, 
##     101.2450579, 101.2450579, 101.2450579, 101.2450579, 101.2, 
##     120.8839642, 119.4361455, 113.0572614, 112.7288354, 114.1208007, 
##     114.1208007, 115.0161231, 115.0161231, 115.0161231, 112.3510572, 
##     121.4208414, 117.3933345, 115.7439281, 115.613544, 122.3691003, 
##     117.4733011, 117.4733011, 115.9143734, 119.6916373, 123.0603349, 
##     31.08939184, 24.70005241, 25.40785925, 18.22437579, 17.13664449, 
##     18.31703284, 0, 27.76695482, 10.43837639, 25.20522368, 14.94431378, 
##     0, 0, 9.917726108, -87.60580506, -118.6793982, -108.574654, 
##     -85.08019114, -27.0549763, 0, 9.939475816, 35.19838047, 19.73955598, 
##     36.49636139, 71.29934785, 68.23165549, 56.06886806, 35.22737092, 
##     78.29105909, 134.8647323, 105.5781195, 59.15145763, 49.25408519, 
##     57.58049005, 122.1320586, 80.63045762, 59.2, 48.40187418, 
##     136.3020323, 116.0366238, 100.6073165, 99.44211062, 90.14282523, 
##     116.6183088, 120.3588306, 105.8406866, 95.88744238, 103.8920977, 
##     111.8718022, 108.1355802, 122.7772386, 114.1208007, 85.19663272, 
##     84.10686706, 100.2280531, 49.25408519, 0, -26.00948884, -36.88093077, 
##     -75.43705014, -119.4953573, -140.0761264, -34.20058522, 25.72119372, 
##     15.93391529, 14.92950177, 48.63078588, 50.66707613, 58.6979672, 
##     43.05540201, 67.55865192, 68.92297054, 70.97328076, 87.17214801, 
##     63.97841737, 49.95398473, 81.48269164, 54.73606012, 68.8076995, 
##     42.31676857, 58.76636054, 61.78992469, 86.05102901, 111.3128055, 
##     114.1208007, 79.30126709, 84.67168008, 110.5155684, 92.7295218, 
##     120.0042952, 122.1699341, 114.9687462, 112.8, 115.8385885, 
##     108.4265011, 110.5080098, 98.84417733, 117.6620135, 96.52516632, 
##     109.4914077, 108.1355802, 72.30747418, 117.1777597, 85.53940073, 
##     90.48270894, 77.72677238, 67.04471971, 78.33405444, 46.3647609, 
##     29.84989316, 30.43003069, 7.957682308, 5.265590826, 10.66513285, 
##     -21.99879774, -48.61853923, -77.78601894, -57.19522428, 12.28792815, 
##     8.920534355, 12.28792815, 42.33279818, 49.64227534, 74.1947268, 
##     73.71951886, 78.53981634, 80.63045762, 59.66692848, 26.29947317, 
##     73.13299502, 37.37921748, 58.72916607, 20.267717, 68.6358209, 
##     98.84417733, 131.911866, 132.7275137, 68.30590915, 100.5520233, 
##     98.35933505, 128.009583, 0, 124.0373679, 113.4169167, 104.2899579, 
##     116.0920958, 95.39253582, 85.47906742, 105.5781195, 104.8992428, 
##     102.9696801, 22.84370018, 78.53981634, 23.10906672, 19.07973769, 
##     -103.907226, -52.96824697, -52.4446574, -48.4732936, -29.06952655, 
##     0, 21.73733646, 10.43048693, 8.863411407, 13.22613671, 29.14567945, 
##     41.72098434, 40.39712976, 40.0240657, 65.55015443, 63.29433146, 
##     45.99729535, 28.84089792, 101.3986724, 49.27110053, 92.45825257, 
##     129.4749732, 93.00296529, 110.9932321, 92.51809893, 128.4386068, 
##     143.8244794, 148.7655095, 113.3152926, 117.6005207, 122.7772386, 
##     118.6793982, 106.3697822, 89.6912248, 3.807855088, -82.99013446, 
##     -89.43668337, -74.45363678, -28.9873469, -13.65063112, 8.842691608, 
##     22.19702009, 38.47367636, 41.42122837, 31.99145539, 66.10431689, 
##     22.2012069, 50.13038096, 68.51114666, 54.8, 75.42091099, 
##     44.46412465, 58.18344696, 52.47957717, 60.67602323, 51.53358515, 
##     66.81239921, 52.41962407, 105.5329786, 88.70356412, 110.942534, 
##     139.0942827, 106.3697822, 150.4228163, 98.04953028, 98.11956375, 
##     103.0376827, 81.85979092, 78.47739435, 64.62138011, 74.99760053, 
##     97.77249763, 60.83906358, 62.0249486, 37.01341946, 55.2, 
##     62.07715509, 9.028959009, 34.98398091, 51.81181306, 97.28163233, 
##     61.19202749, 51.01476181, 66.0711041, 64.8995559, 72.97276562, 
##     105.2661598, 78.47739435, 70.42178795, 81.0342893, 75.87583424, 
##     65.00516626, 58.42246909, 44.80727833, 47.00185779, 51.34021631, 
##     53.8806169, 51.54547744, 46.29547279, 33.59490915, 36.04478842, 
##     32.59037614, 21.89556985, 13.19013263, 24.00575404, -2.569457699, 
##     4.246039338, 11.71310579, 15.27327671, 17.80580783, 39.58742199, 
##     19.43520493, 33.36279274, 40.42893136, 23.89771333, 45.20961266, 
##     39.30187236, 37.72249784, 29.09289456, 40.32814817, 68.38066002, 
##     46.02821324, 37.80477038, 44.13097296, 50.44342725, 52.44549556, 
##     64.4638389, 59.28493628, 62.2593178, 55.12299452, 56.7, -74.54201438, 
##     -74.4409341, -75.31989801, -75.59192034, -76.07678317, -75.64019695, 
##     -75.86227402, -76.63705556, -76.37153272, -81.59063362, -77.1000167, 
##     -76.57012539, -75.92327804, -74.10572193, -77.61910771, -80.01602877, 
##     -73.9, -76.06785111, -79.46642639, -78.2614331, -69.27580126, 
##     -73.13943775, -75.90311262, -74.61272638, -73.63851678, -74.77598626, 
##     -71.96181805, -87.75731726, -79.71174268, -69.42688108, -73.15233865, 
##     -78.16141748, -79.39683462, -78.79765215, -78.02294164, -76.8505498, 
##     -76.57283502, -77.97516488, -77.39109281, -77.73068893, -77.63554031, 
##     -76.1977193, -77.4710798, -76.42651113, -77.93863428, -77.51005906, 
##     -76.63407619, -77.96790273, -77.93061448, -78.08443664, -78.70155763, 
##     -78.5617842, -77.9, -78.53698203, -77.85486341, -80.37576316, 
##     -81.22797227, -80.59852365, -80.3259505, -81.90716804, -79.26336058, 
##     -79.38496923, -77.70801994, -75.89377281, -77.96244865, -80.95660415, 
##     -78.94937525, -78.58310639, -78.86012027, -79.78064991, -80.77522285, 
##     -79.27191244, -79.13121009, -79.0297423, -78.65011965, -80.41137602, 
##     -80, -79.42914837, -79.41751552, -78.07253022, -79.0297423, 
##     -78.10717091, -78.84036678, -78.53750506, -78.32869281, -78.47357766, 
##     -78.76091125, -76.04142231, -74.50472978, -72.92659886, -69.41513353, 
##     -69.05846475, -72.02384581, -73.85027206, -73.74661083, -77.03095699, 
##     -72.78691656, -68.02445644, -66.68245751, -68.30096243, -71.30558133, 
##     -71.63774092, -70.59242954, -71.86946614, -73.91739386, -72.50135229, 
##     -67.08429069, -66.17242847, -69.67442341, -65.91541105, -65.16698229, 
##     -63.45741125, -59.19959277, -57.3599484, -61.1770725, -75.03795551, 
##     -71.03317811, -62.49649213, -79.09929076, -71.4350286, -79.89936358, 
##     -80.62932621, -77.22032826, -72.69417431, -71.54002783, -68.54424295, 
##     -67.2813826, -61.21528391, -61.73947349, -65.74005045, -66.04352532, 
##     -61.96616666, -64.0315167, -76.74090961, -68.5327277, -63.8615334, 
##     -75.33300271, -71.25598283, -81.59061536, -75.96266795, -67.18256085, 
##     -64.25066485, -67.59777527, -72.10826781, -70.00226507, -72.44849096, 
##     -75.37351345, -72.79487007, -73.19240174, -73.23588682, -70.21931205, 
##     -62.35247036, -63.3, -65.4144897, -72.13790258, -72.24001533, 
##     -72.30990124, -69.22871527, -71.59803318, -64.12300822, -66.05289048, 
##     -70.83756707, -71.40676725, -70.03952418, -69.44237777, -65.66991113, 
##     -66.4631955, -65.51447164, -65.07706445, -65.62343737, -69.91452625, 
##     -68.27363693, -66.43719807, -75.70864787, -65.59970956, -66.86531247, 
##     -70.49982378, -72.623196, -69.7, -73.07409921, -72.36033837, 
##     -72.02911059, -72.51554728, -73.1641723, -73.37898185, -71.85264709, 
##     -70.35856245, -69.27803577, -67.83556982, -67.09809113, -65.94524452, 
##     -65.68268987, -65.64413339, -68.26974761, -70.57547797, -73.00474141, 
##     -66.75487409, -67.18844537, -67.9, -70.69886844, -65.2807031, 
##     -65.22877682, -61.12134018, -59.70650924, -67.86595194, -62.92069383, 
##     -65.79135789, -67.33233271, -74.28710244, -63.95960106, -74.49149915, 
##     -67.64773781, -71.81092197, -71.60776714, -77.38924782, -70.95291664, 
##     -71.81306345, -74.01135181, -75.5987274, -73.84227583, -72.81600975, 
##     -72.27372383, -70.79744219, -69.24752958, -69.3808321, -66.62512988, 
##     -66.09631128, -69.58252477, -74.68661854, -70.29011904, -74.89664611, 
##     -70.77772118, -71.34030665, -72.75887248, -65.85961309, -61.03264866, 
##     -63.59442116, -63.73279523, -65.5426576, -66.69228626, -71.53955338, 
##     -76.57093954, -73.82553191, -64.91532781, -69.21387629, -80.79052201, 
##     -75.39704095, -74.77781089, -71.06422975, -69.71269089, -70.89942412, 
##     -71.8, -72.42231889, -71.31587981, -66.26076165, -67.64034052, 
##     -67.10505075, -61.69212296, -60.83640809, -68.20448258, -71.206116, 
##     -72.27527456, -73.39039902, -71.26151336, -68.79109357, -66.94438397, 
##     -68.80027574, -67.81873976, -65.43653671, -55.61074216, -51.16897016, 
##     -55.2598456, -61.88507287, -57.86836554, -60.55943753, -67.7, 
##     -61.26283786, -69.38479456, -74.57090454, -73.71860571, -70.33854368, 
##     -64.08049996, -63.35742503, -63.25618186, -61.8043055, -61.11967464, 
##     -68.94185285, -70.30555077, -64.54915024, -62.28974824, -68.90756011, 
##     -66.61435356, -65.29655798, -72.91195884, -73.63469237, -73.56508436, 
##     -68.32929788, -66.89620657, -69.32987582, -71.32561125, -69.32987582, 
##     -71.89844402, -74.26677515, -66.55339835, -66.0445311, -63.36678877, 
##     -61.7, -60.69257243, -71.65364153, -66.57907382, -67.46305569, 
##     -69.60427616, -67.00697538, -61.95118569, -57.53593612, -67.89371498, 
##     -70.65236125, -65.84986996, -57.7044563, -58.02383013, -60.92990619, 
##     -67.76322774, -65.45668278, -63.1083529, -69.24530673, -62.6, 
##     -77.14546028, -71.04429618, -67.16290376, -74.71409498, -77.11101577, 
##     -72.51505467, -70.24092792, -68.58502346, -70.32829352, -71.12908381, 
##     -71.58692168, -70.01999252, -68.52007336, -67.01972454, -61.34372213, 
##     -61.79373451, -63.96938476, -70.66592673, -70.98478894, -67.61858776, 
##     -65.57745915, -63.94519671, -64.04875468, -65.16316805, -65.71213291, 
##     -67.98303638, -65.01146526, -63.39111659, -64.3, -60.89931892, 
##     -67.10927451, -64.26533266, -66.26945594, -69.29529782, -65.21024116, 
##     -72.62260555, -73.42980479, -69.31440235, -74.26673138, -72.71159189, 
##     -67.31600141, -69.50616701, -70.49037654, -74.13276833, -71.67715819, 
##     -70.8, -71.73769475, -70.28530713, -70.2508072, -70.25958951, 
##     -70.71241985, -73.1868834, -70.92872331, -69.11117536, -70.78042116, 
##     -70.95291664, -70.89065552, -70.5598735, -71.38346579, -70.95943594, 
##     -71.3787392, -70.15444725, -70.94853396, -70.36252498, -71.11326581, 
##     -71.86907184, -71.34350982, -70.51211831, -71.70998312, -70.89664959, 
##     -70.75559151, -70.56127086, -71.40951976, -72.91379146, -73.51208172, 
##     -74.16541768, -74.4496733, -73.66915413, -73.12313539, -73.10035602, 
##     -73.031989, -71.7, -73.74140571, -73.18300661, -71.99007628, 
##     -72.53483919, -74.14912723, -74.68620743, -73.61571304, -74.58202341, 
##     -74.81066194, -74.8303271, -75.13927567, -74.53221225, -75.55532047, 
##     -74.20072245, -74.02356894, -73.91937991, -74.1, -73.12922953, 
##     -73.98873895, -73.53448091, -73.76760739, -101.6017056, -98.97396051, 
##     -98.55131734, -98.56486841, -96.32305242, -97.38027406, -98.77075104, 
##     -90.97763442, -94.13875097, -95.7700103, -98.97881638, -98.31197328, 
##     -98.20823589, -96.2701326, -98.50749774, -98.51507193, -97.14791305, 
##     -95.71262371, -96.3537838, -98.92257115, -94.1611154, -95.0915945, 
##     -97.5700826, -94.1611154, -96.33263323, -96.93333512, -99.54455972, 
##     -102.8713803, -100.2961881, -98.42852196, -96.3816494, -101.3189201, 
##     -101.4656945, -88.09373587, -87.60100272, -86.93614219, -88.71611704, 
##     -93.40364372, -90.131457, -93.08162469, -90.97165845, -92.46695072, 
##     -93.2276755, -94.96453032, -95.36957396, -96.62069792, -96.20208236, 
##     -96.60166963, -96.06103004, -96.40252497, -96.40252497, -97.26665703, 
##     -97.12851547, -94.75015729, -95.30612074, -95.30612074, -94.89197837, 
##     -99.90639481, -102.1863166, -103.9826724, -100.286557, -99.22458478, 
##     -96.3, -101.2017707, -103.9721688, -97.19993295, -97.71027826, 
##     -100.1481919, -96.08306678, -97.20346253, -100.2961881, -99.88034481, 
##     -97.91994542, -98.55131734, -98.52635201, -98.03882149, -100.1021033, 
##     -101.3830243, -99.72213034, -99.06039194, -103.5006197, -101.9285177, 
##     -99.22458478, -100.6343833, -99.45482317, -113.1300503, -111.418367, 
##     -107.2927375, -109.1528258, -111.3378782, -111.927943, -110.7306841, 
##     -109.9072827, -107.2026402, -104.4563332, -103.6955322, -106.9697543, 
##     -103.5821569, -100.4255332, -104.3098565, -104.8553897, -105.3323841, 
##     -106.5554671, -108.7675012, -106.8920229, -90.26476099, -89.56523875, 
##     -91.50008691, -89.16516666, -87.01248448, -83.32311964, -82.0280128, 
##     -83.45853426, -82.23513585, -79.0239812, -83.8917796, -84.48823615, 
##     -81.74124509, -84.70294197, -85.39379495, -83.41699699, -84.06407326, 
##     -79.86035099, -81.12121276, -85.04041865, -80.91834351, -78.42469728, 
##     -74.5, -84.17863369, -82.46255443, -80.78134351, -80.52965485, 
##     -78.37236062, -79.58563989, -79.0472698, -77.97258154, -78.38989355, 
##     -78.45932261, -79.88760397, -70.76910408, -77.32208747, -76.51605077, 
##     -79.50892352, -81.66611334, -78.7186676, -77.38564423, -79.94309523, 
##     -81.26761052, -79.2524576, -80.59052932, -81.66978298, -81.38250621, 
##     -80.63831689, -79.93747485, -79.96441434, -82.59662993, -80.9, 
##     -81.64230018, -82.19865533, -80.44781168, -82.34864103, -79.95777577, 
##     -82.63437081, -81.90986372, -78.32946959, -77.96949462, -80.74876266, 
##     -82.43798005, -84.68178286, -82.28676876, -84.27143367, -84.73665696, 
##     -85.62949352, -85.69003515, -86.29400238, -86.6370078, -84.53133563, 
##     -85.37265802, -83.95809931, -81.97548961, -81.01954531, -82.91779605, 
##     -83.35073535, -83.37112062, -84.78092101, -85.24975196, -84.50951836, 
##     -82.88840798, -83.88795239, -82.79733339, -85.54378572, -82.58049777, 
##     -82.64311203, -83.41899612, -80.95605354, -81.78875608, -86.46955635, 
##     -81.66980854, -81.0509463, -85.57875046, -86.01260722, -86.84039945, 
##     -85.27378328, -86.89039596, -93.35160317, -94.09567928, -90.16729498, 
##     -87.53278432, -87.42211447, -88.73734232, -90.131457, -90.3507, 
##     -86.29761576, -90.09406932, -91.14469344, -90.17533286, -90.131457, 
##     -92.47006326, -84.13450227, -91.16559694, -90.97889778, -83.87821925, 
##     -82.90972391, -80.61311658, -83.38011677, -81.28024376, -79.41838973, 
##     -89.72200273, -85.3020533, -91.13739517, -90.11991878, -87.03882505, 
##     -87.81544836, -89.89343449, -84.48625304, -84.87613232, -86.54035567, 
##     -90.12520681, -84.72711551, -88.65025376, -87.76522495, -87.82837123, 
##     -86.82022491, -85, -86.72663042, -86.16596819, -85.29512454, 
##     -85.60639152, -87.39186692, -89.72200273, -89.07789916, -85.00765722, 
##     -85.15465485, -87.21290681, -89.88341994, -92.11354055, -97.09902103, 
##     -91.39456802, -91.1362228, -91.5814135, -93.73406404, -92.1, 
##     -91.38307553, -93.58920634, -91.85043993, -92.28185258, -91.56828365, 
##     -92.42061197, -92.05268539, -93.51697037, -89.21507056, -87.90811387, 
##     -91.6676349, -86.62390383, -85.08690537, -90.38893173, -84.85524469, 
##     -89.51387912, -75.89217397, -79.21277326, -77.97258154, -75.56907603, 
##     -75.55625476, -82.38792255, -80.90276277, -76.06830649, -80.81189071, 
##     -77.31137105, -75.91982629, -75.0293677, -76.2894114, -75.85341206, 
##     -76.81640424, -78.19175312, -80.42722056, -78.91239803, -79.28297536, 
##     -77.96949462, -79.42345363, -78.613166, -81.2, -82.91213756, 
##     -80.3910525, -86.95206154, -90.11824133, -89.08288774, -88.36881204, 
##     -89.5260496, -90.82355732, -90.44578004, -89.63261201, -91.81846561, 
##     -91.56828365, -90.69743717, -91.93531541, -91.7909435, -91.15720776, 
##     -89.75884497, -90.50401884, -92.78589949, -90.8829146, -90.08728833, 
##     -90.87307922, -90.131457, -90.5, -78.06361866, -79.8120475, 
##     -77.74806955, -77.86093792, -78.06437336, -77.0082127, -78.97024, 
##     -84.66084013, -81.91608683, -86.22892525, -83.88843962, -93.59634368, 
##     -91.29140141, -91.66589284, -90.90153107, -90.96923016, -85.38949259, 
##     -88.9091317, -90.82439209, -77.57320871, -79.21493022, -78.24704442, 
##     -83.25575695, -80.85895154, -82.53484806, -84.40881367, -82.75846174, 
##     -86.6542894, -87.66563899, -83.70813048, -79.75395251, -80.39740885, 
##     -81.62933957, -79.78227628, -78.5998373, -78.09354214, -77.66656158, 
##     -78.55895632, -79.87757858, -77.94019191, -74.91699282, -80.85474139, 
##     -87.09840153, -87.70492354, -88.24632437, -92.65891988, -91.87315204, 
##     -88.6788259, -88.20744416, -87.60655018, -91.97759794, -94.92657819, 
##     -86.23088572, -79.38833462, -79.10033763, -80.75594267, -81.81552083, 
##     -84.833479, -80.28489189, -84.79375829, -85.10907155, -81.17014012, 
##     -74.59442116, -75.17270242, -78.88540556, -87.13043414, -89.66649161, 
##     -83.15251272, -84.4304381, -84.10686706, -83.51843491, -85.75233577, 
##     -84.44107744, -86.39665369, -88.17606236, -88.83123692, -88.45739058, 
##     -87.73938396, -87.78473547, -85.91830161, -85.49744864, -86.29400238, 
##     -87.97408637, -87.09840153, -87.09840153, -105.1740537, -109.0601452, 
##     -108.219444, -109.5868474, -106.1473606, -106.8309143, -104.9323109, 
##     -103.2039399, -104.371311, -103.3070185, -102.5140229, -105.3323841, 
##     -106.407044, -107.0958248, -101.827737, -103.061007, -101.15592, 
##     -99.41489251, -100.8653619, -99.27676901, -107.4625552, -105.9289523, 
##     -104.9783491, -100.2682552, -97.84943183, -92.53412923, -91.03596194, 
##     -95.75427073, -101.80262, -104.655011, -105.8601751, -107.0093868, 
##     -108.3518154, -112.4231784, -113.8818827, -116.9091008, -119.8937085, 
##     -116.2991205, -117.0969738, -115.7885028, -111.688907, -111.9156401, 
##     -114.9066779, -113.7893986, -112.0398383, -113.7, -89.26245121, 
##     -92.3893794, -92.29798014, -94.46261936, -89.93884661, -91.91789718, 
##     -91.56940048, -91.38281754, -88.98736093, -89.43110139, -89.83005864, 
##     -90.23092415, -91.78856505, -89.77829548, -93.97844848, -94.30575196, 
##     -89.77829548, -101.9274564, -99.83322831, -102.2333122, -108.4734753, 
##     -104.6711925, -95.13072254, -101.1401628, -103.6711753, -94.9323586, 
##     -94.75015729, -101.8763722, -97.24708063, -90.82355732, -97.02197563, 
##     -107.106569, -93.6124337, -96.50629331, -96.59664935, -94.56631818, 
##     -94.91304978, -94.46566185, -97.3895743, -98.40707046, -97.31908973, 
##     -96.29432476, -100.1286142, -99.04399872, -98.91840949, -98.17788538, 
##     -98.39494228, -99.59419463, -100.6828589, -102.3036719, -102.6384931, 
##     -102.0302837, -100.3802424, -98.56120612, -100.130206, -97.69770624, 
##     -98.82651228, -95.03358154, -95.69437926, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.4, 21.44322519, 21.44322519, 21.44322519, 
##     21.44322519, 21.44322519, -27.08474145, -27.08474145, 7.485984771, 
##     32.1232777, 29.63234064, 35.67333885, 25.88908098, -2.387956884, 
##     -99.60473761, -101.9818214, -101.9818214, -72.97276562, -49.1, 
##     -66.5196055, 0, -43.81490306, -51.04009687, -46.75151317, 
##     -32.36185653, -17.70131455, -55.06069413, -39.42443751, -27.99087627, 
##     -17.85743487, -8.748194753, -35.6395822, -47.52989888, -39.82255649, 
##     -18.64478653, -33.55544843, -40.5866892, -43.73102328, -36.19039838, 
##     -21.23164272, -17.20668516, 0, 19.64409914, -68.30590915, 
##     -107.6632893, -100.1023024, -84.10686706, -139.5827281, -118.6793982, 
##     -83.60465341, -66.82145859, -40.93519194, -40.93519194, -40.93519194, 
##     -40.93519194, -40.93519194, -32.07139242, -29.14567945, -61.54797087, 
##     -75.90702093, -58.09535541, -58.09535541, -61.22323484, -57.63285996, 
##     -91.99268203, -91.99268203, -91.99268203, -58.6979672, -60.25546565, 
##     -54.9751499, -62.10806932, -99.28943898, -26.70422682, -67.793091, 
##     -82.67660226, -69.36480204, -42.73957398, -33.29619107, -43.85223806, 
##     -29.86158368, -33.76753074, -37.5253427, -15.17502647, -6.009324292, 
##     -6.009324292, -6.009324292, -6.009324292, -6.009324292, -6.009324292, 
##     0, 0, -6.009324292, -3.322888937, -3.322888937, 16.5058661, 
##     16.5058661, -7.883154636, -7.883154636, -7.883154636, 4.204552227, 
##     4.204552227, 4.204552227, 4.204552227, 4.204552227, 4.204552227, 
##     4.204552227, -12.55471349, -20.97987229, 0, -18.01158911, 
##     -33.04226479, -21.86689459, -7.4, -77.19285208, -110.0993234, 
##     -30.97865779, -19.03168142, -43.99166633, -42.80956335, -58.86429111, 
##     -77.10623039, -84.09278625, -76.3860403, -52.32783221, -41.3963192, 
##     -34.65225686, -41.44929152, -29.9416886, -26.81069273, -34.45402491, 
##     -21.6381462, -20.54483693, -22.62189975, -30.97029445, -33.68088778, 
##     -33.68088778, -33.68088778, -33.68088778, -19.0263217, -24.15785826, 
##     -29.24944232, -25.2456422, -13.80878714, -33.47428227, -49.95398473, 
##     -50, 7.338941909, -11.13410143, -34.35808059, -45.81903823, 
##     7.185763963, 13.46376116, 41.04300887, 6.325613055, 4.204552227, 
##     9.084675248, 9.905554468, -5.71973772, -26.15144906, -37.74778602, 
##     -29.43620788, -28.61034937, -15.86552622, -53.78788639, 8.554004511, 
##     19.54620252, 19.54620252, 19.54620252, 19.54620252, 19.54620252, 
##     19.54620252, -6.187872254, -23.19401054, -33.49166014, -33.49166014, 
##     -33.49166014, -12.47171474, -17.87724178, -23.84930069, -19.07973769, 
##     -6.656816378, -40.13939761, -53.78853341, -13.37315894, -9.857312232, 
##     -10.83595455, -42.05343353, -83.72150032, -45.81903823, 0, 
##     42.05343353, 19.36583004, -19.36583004, -61.54797087, 24.45203938, 
##     24.45203938, 24.45203938, 24.45203938, 24.45203938, 24.45203938, 
##     24.45203938, 24.45203938, 28.60221749, 28.60221749, 28.60221749, 
##     28.60221749, 28.60221749, 28.60221749, 36.67340591, 36.67340591, 
##     31.45897426, 0, 17.49690457, 16.98462881, 16.98462881, 16.98462881, 
##     16.98462881, 16.98462881, 17.70131455, -8.522879853, -8.522879853, 
##     -8.522879853, -17.70131455, -26.52092593, -40.50396507, -31.7, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, 6.656816378, 24.45203938, 24.45203938, 24.5, 
##     -22.9735961, -20.2027777, -17.03246869, -15.46647399, -7.862146299, 
##     -10.10585825, -5.573505175, -5.573505175, -30.04354009, -24.53368822, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.37798097, -22.37798097, -22.37798097, 
##     -22.37798097, -22.37798097, -22.4, -49.95398473, -49.95398473, 
##     -9.671159884, -9.671159884, -12.64360054, -37.74778602, -27.88403149, 
##     -17.15561283, -84.69570726, -87.32277888, -57.40953425, -17.4672199, 
##     -16.03030484, -19.18675615, -46.05539917, -32.17505544, 28.41962964, 
##     25.68139174, 7.4, 0, -42.05343353, -24.41657354, -33.71413291, 
##     -15.1525554, 14.06440094, 5.54132321, -5.265590826, -35.22737092, 
##     -16.24033701, -102.9696801, -3.549612562, 15.79855795, 22.39244524, 
##     -5.71973772, -36.61865602, -58.51743969, -25.21774657, -71.57784031, 
##     -33.62857407, -47.94210856, -52.3, -25.7285848, -21.3280168, 
##     -21.3280168, -19.52670329, -25.33282374, -25.33282374, -30.89521537, 
##     -32.36185653, -24.09445469, 19.73955598, 106.1056648, -18.36040103, 
##     -39.90187295, -45.81903823, -24.33608496, -58.09535541, -58.09535541, 
##     -62.47054648, -58.99850981, -58.99850981, -58.99850981, -58.99850981, 
##     -71.11953911, -70.38443842, -72.25488074, -75.45243011, -75.42030616, 
##     -74.23353962, -74.01358207, -72.54692484, -73.30661967, -72.74350391, 
##     -72.45361357, -71.67137362, -71.29765073, -71.67687389, -72.61173836, 
##     -72.84103715, -72.58171218, -72.11223905, -72.62911531, -72.37100707, 
##     -74.22097269, -72.96636467, -72.8990143, -73.25209001, -73.1, 
##     -75.44184339, -71.37062999, -71.23870029, -69.18371649, -69.73134257, 
##     -64.89418792, -66.67154831, -69.93013573, -69.82728607, -66.91376759, 
##     -69.22219457, -64.91717538, -63.10740038, -63.15098183, -62.23604334, 
##     -66.25886789, -66.02234372, -68.08881728, -64.58581674, -62.5654004, 
##     -68.1, -70.99236398, -72.762461, -75.43120045, -73.91937991, 
##     -73.61571304, -75.02867954, -68.482141, -68.32960518, -69.03777739, 
##     -67.68488467, -66.13441017, -67.99306395, -67.02410141, -68.13138433, 
##     -69.33189236, -70.5170731, -68.40616592, -70.36858993, -69.09025091, 
##     -71.33318896, -61.83888017, -63.28237819, -62.34722793, -60.51179957, 
##     -62.8500927, -63.9454162, -69.85085676, -64.98645677, -63.99123492, 
##     -67.46550189, -64.4022218, -71.77352772, -74.27118459, -70.12789189, 
##     -71.01419617, -70.45125759, -74.96420718, -75.49501901, -75.36304727, 
##     -75.28516108, -75.63913238, -74.19247512, -71.53200446, -69.90937155, 
##     -66.61020188, -63.02892048, -65.307392, 84.56218073, 85.59585118, 
##     81.41214659, 78.09159737, 78.56258946, 75.53756141, 84.22575378, 
##     87.35156512, 83.17768195, 84.47365254, 79.95553833, 80.1274707, 
##     79.35142573, 77.42151224, 81.954934, 78.15221556, 87.85772623, 
##     104.3611479, 110.2, 66.63426117, 39.68271252, -61.54797087, 
##     -110.5500587, -130.4577838, -129.3542609, -123.0031302, -108.783856, 
##     -103.4501561, -110.679201, -117.7232191, -108.8047229, -90.48518739, 
##     -62.68400078, 107.2626643, 122.4749396, 121.8440017, 110.9932321, 
##     107.8434437, 101.138367, 102.0865537, 99.95613109, 101.7288396, 
##     104.6535604, 96.76648351, 90.17818137, 83.93744392, 83.93744392, 
##     77.53496401, 77.53496401, 77.53496401, 77.53496401, 77.53496401, 
##     77.53496401, 77.53496401, 77.53496401, 77.53496401, 77.53496401, 
##     66.81239921, 66.81239921, 66.81239921, 66.81239921, 66.81239921, 
##     66.81239921, 66.81239921, 66.81239921, 66.81239921, 71.03225041, 
##     -61.46629519, -30.78870916, -52.00274911, -16.61588729, 35.62294762, 
##     -10.14478585, 9.549131716, -31.6546391, -107.3137201, -87.5, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     75.00117624, 75.13039337, 72.78650453, 75.36632508, 75.36632508, 
##     74.95511581, 75.81928739, 75.81928739, 76.68704516, 76.68704516, 
##     76.68704516, 71.47025249, 71.47025249, 82.21284377, 83.9, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, -112.9064176, -112.9064176, -112.9064176, -112.9064176, 
##     -112.9064176, 128.9816923, 136.3623693, 135.7104011, 131.9975806, 
##     125.4729239, 127.1175482, 123.7334112, 127.6016832, 131.05638, 
##     132.48541, 124.0226945, 126.7967616, 119.1833597, 116.0426394, 
##     125.1726785, 127.0559945, 117.9505334, 116.8115119, 111.2457463, 
##     110.5241044, 114.4862329, 100.6786548, 125.5665511, 121.2714212, 
##     127.8915177, 103.2, 119.7708026, 119.1723123, 124.2728445, 
##     120.9480103, 134.5166573, 132.2246577, 133.9318963, 126.730195, 
##     92.6818595, 107.0515899, 120.561876, 113.7777742, 114.4029511, 
##     122.6212797, 129.9467587, 137.7500186, 129.8292381, 124.5301047, 
##     120.2100424, 121.1113991, 116.6954766, 114.1315617, 131.4152191, 
##     130.0065554, 126.7014687, 129.000128, 129.0442197, 131.3634516, 
##     127.7789195, 122.5743544, 122.1022231, 124.8277845, 115.0226049, 
##     128.343905, 123.9841439, 117.1941746, 113.7, 128.8198543, 
##     138.2849476, 127.8013742, 121.2663856, 129.5153528, 127.0403118, 
##     126.090779, 123.6813216, 127.6970294, 132.5613514, 124.4770544, 
##     128.9422129, 133.7135542, 128.0595737, 127.1550011, 136.5796351, 
##     137.5668759, 126.6976833, 125.1752805, 122.4071719, 124.8422201, 
##     128.7002218, 129.8610216, 133, 45.04574722, 86.77060804, 
##     77.72234123, 52.16111033, 65.06580293, 89.22706925, 41.59088127, 
##     54.28643722, 116.6208904, 64.32668642, 70.07954541, 125.9812909, 
##     65.85543313, 39.4143525, 100.4361727, 82.07435792, 70.08027019, 
##     144.8435582, 121.4516556, 88.64397158, 124.6712927, 120.4887738, 
##     103.5795241, 74.66138943, 74.21244935, 82.5789373, 73.8087185, 
##     91.269482, 111.3212662, 109.7, 14.97630947, 15.9226893, -6.598592226, 
##     -12.42949419, 0, 2.788918458, -13.53510363, -10.48409083, 
##     -21.10770024, 2.338474993, 14.45070227, 10.44926161, 27.88916648, 
##     39.4055065, 58.76636054, 58.18344696, 41.82432643, 36.96256088, 
##     31.40483406, 47.30311941, 37.75542198, 29.82446853, 47.90326911, 
##     80, 101.0841063, 99.78455638, 100.4225829, 99.33471192, 100.6157378, 
##     97.11160622, 99.54912686, 100.2280531, 98.25583414, 97.87719389, 
##     100.4225829, 101.0978897, 99.17465165, 97.64543658, 100.4225829, 
##     102.7189784, 93.0730332, 99.33471192, 101.8135395, 104.6881426, 
##     98.56312727, 107.3718765, 109.9258572, 109.2413055, 115.1848066, 
##     118.2477609, 116.266119, 127.2529971, 137.7419189, 121.0129458, 
##     115.2571997, 116.6765307, 77.75587147, 68.30590915, 43.27988575, 
##     38.78173714, 54.1054481, 71.54137759, 62.69743279, 58.67962737, 
##     62.4, -78.40897461, -78.15960105, -77.22801974, -128.5164215, 
##     -123.2819474, -122.7133165, -119.89905, -109.9447024, -86.98831808, 
##     -68.69778462, -43.19471174, -42.78345125, -42.94508941, -41.41856771, 
##     -37.91951916, -36.26290517, -36.34975132, -34.86776507, -29.46276756, 
##     -29.56140231, -31.87572765, -32.77702845, -29.19816785, -29.60621131, 
##     -28.53034962, -29.67385607, -29.16483782, -27.17695019, -23.09626426, 
##     -24.49417933, -23.42357608, -27.22037351, -28.57815963, -34.61045284, 
##     -39.39835094, -45.09308464, -43.55375654, -46.32745895, -48.57033464, 
##     -50.65115426, -52.84294845, -52.32570018, -53.97322042, -55.49692649, 
##     -61.06061536, -73.05580054, -76.95233084, -86.39195728, -84.74385358, 
##     -87.48514495, -96.95106845, -95, -107.9658868, -99.63805302, 
##     -104.8068685, -121.8422688, -115.1293172, -117.5770532, -118.7742814, 
##     -117.6005207, -116.781514, -121.1906164, -125.6090341, -125.8962975, 
##     -127.2954878, -127.5631038, -121.7897104, -98.10054237, -87.1767811, 
##     -88.3551152, -81.29832175, -49.26575928, -46.7, -39.05726208, 
##     -40.30603278, -40.00045296, -22.54010762, -25.0621367, -21.47054119, 
##     -19.72879556, -20.64749355, -29.34677253, -29.38199107, -28.08928923, 
##     -27.15290501, -28.77088272, -31.47046246, -32.03371675, -30.45694468, 
##     -29.9509568, -33.25587328, -35.24285586, -39.54152604, -43.82105588, 
##     -51.87725891, -51.94117604, -54.03764218, -57.78715109, -54.81298074, 
##     -59.8000323, -68.7208782, -73.5938755, -78.51503524, -84.36477375, 
##     -89.11005099, -91.70030873, -96.05480101, -94.19857849, -94.21851256, 
##     -97.11343123, -104.9926944, -113.8152026, -110.0841876, -108.9447033, 
##     -107.8335559, -110.6130127, -112.1580458, -106.4, -102.2737572, 
##     -108.9532908, -109.2824587, -110.1663657, -113.9586873, -112.1976592, 
##     -114.6019608, -119.2116032, -118.5125381, -112.8423483, -108.4655884, 
##     -90.56131319, -92.54973469, -90.79811979, -94.13636152, -92.1997814, 
##     -88.30097337, -54.83917098, -46.82434201, -41.56238644, -23.39862533, 
##     -24.54997681, -24.15109068, -24.06936425, -34.849507, -37.68436913, 
##     -48.6976829, -62.62738208, -64.62090682, -62.09767586, -66.43718105, 
##     -70.76501037, -72.56646602, -78.71073334, -84.13827957, -81.8, 
##     35.6, 126.4022095, 147.6793293, 127.5547423, 143.8244794, 
##     78.53981634, 95.45022131, 131.8589368, 148.7655095, 137.3400767, 
##     54.89283072, 74.02239482, 41.97608763, 38.16834176, 39.12015406, 
##     37.36614994, 31.45074036, 28.74353151, 31.04576701, 31.24011622, 
##     28.77954022, 27.94627616, 24.39790076, 23.990682, 24.0693565, 
##     20.59015741, 19.58418314, 22.2918172, 18.94721977, 14.99172791, 
##     14.93259095, 19.03168142, 19.11986991, 21.39156577, 20.8931297, 
##     21.48461649, 24.37938844, 25.94845328, 29.33747436, 31.77288804, 
##     21.78221978, 29.83027751, 30.27459516, 34.76761456, 32.47551272, 
##     54.83778233, 58.43348449, 49.47917545, 59.09657048, 40.30765765, 
##     50.64446434, 44.72082089, 47.0640502, 43.37195572, 57.40953425, 
##     85.25884125, 83.77815197, -13.69857719, -13.21891231, 23.28462536, 
##     -15.07000364, -46.30817579, 78.53981634, 83.08214428, 100.4067109, 
##     102.9398097, 97.35693932, 49.53512703, 106.9993628, 117.4235782, 
##     133.2178616, 136.9595241, 113.0285664, 66.43575035, 74.84373763, 
##     62.29680539, 64.87031051, 50.69598178, 51.56668445, 48.3664199, 
##     47.75757805, 50.73885265, 40.80650909, 37.44978292, 29.41291749, 
##     31.65220697, 33.50956829, 26.05252337, 30.70918259, 26.70699575, 
##     25.90438366, 22.11711894, 15.75574992, 12.88230086, 18.88671542, 
##     21.33841858, 29.41620865, 25.09405141, 37.20486998, 37.99419054, 
##     26.92717202, 36.49682702, 39.59379711, 35.7566613, 31.44973525, 
##     47.83697336, 53.21829661, 54.03346788, 54.18955544, 59.63389165, 
##     42.94522008, 44.64202262, 52.3, 61.67232482, 67.72710675, 
##     62.26707888, 54.36679838, 111.8481971, 56.39426414, -70.38403995, 
##     -57.80965226, -34.03249482, -6.577939253, -15.81583863, -33.23335118, 
##     -36.11311279, -56.67292175, -55.61769656, -21.85238472, -18.13167331, 
##     -9.742959723, -9.966865249, -8.103311893, 0, 77.33488044, 
##     130.2448091, 57.97304342, 47.67226803, 47.63169669, 39.6, 
##     43.62948918, 37.46740932, 32.32273366, 32.59583823, 38.96266048, 
##     34.17628032, 26.31068077, 24.19042306, 18.37058554, 20.10297607, 
##     19.78385855, 21.35549785, 21.66133363, 23.82885699, 28.57105341, 
##     29.49631149, 28.25358066, 32.73215274, 24.70699729, 25.90790527, 
##     27.31517431, 33.40026516, 27.28347266, 25.342539, 28.21486317, 
##     39.28960407, 57.10528205, 37.8437494, 51.49294221, 54.3636532, 
##     35.16168989, 33.34658127, 33.04350303, 30.82927821, 20.32808638, 
##     20.92235525, 24.78716332, 23.2403079, 21.86256081, 21.559402, 
##     21.92792339, 29.85403505, 29.19053258, 31.8517585, 20.55923984, 
##     26.23984759, 34.23766079, 37.35946092, 35.61650712, 68.68360733, 
##     33.50435338, 13.33676778, -58.82451091, -74.65355162, -35.29684569, 
##     -42.94222042, -55.103963, -69.17263572, -34.87710036, 18.09133001, 
##     26.73570136, 46.20035427, 37.06975695, 54.83133205, 46.33927183, 
##     44.47225675, 38.4, 35.49127683, 31.12467765, 31.75416458, 
##     34.67637785, 29.7236308, 32.13302546, 27.48857964, 27.59064982, 
##     24.67388719, 25.00978001, 19.27364212, 17.42625424, 18.07868524, 
##     16.02504362, 16.32116064, 18.05760126, 23.72770155, 24.8325317, 
##     27.51906412, 18.50937569, 23.97601735, 30.25003672, 35.86915343, 
##     44.01878596, 39.23691332, 44.04979167, 71.78330334, 52.97364857, 
##     89.89774905, 51.91461142, 0, -25.10495082, -19.73955598, 
##     -54.51174464, -53.23032036, -48.2933372, -42.74629929, -42.87780274, 
##     -42.87780274, -42.87780274, -60.48966561, -42.91241683, -54.31895763, 
##     -54.31895763, -54.31895763, -32.1232777, -36.31470099, -46.35531201, 
##     -46.35531201, -44.57381122, -32.86741208, -39.4, 57.66887233, 
##     66.5665607, 63.63629873, 55.48427649, 52.59096, 50.88663409, 
##     53.33407338, 64.85978043, 61.19541557, 68.40516601, 77.30159454, 
##     86.9989417, 45.89854792, 134.0801789, 140.0761264, 89.53036317, 
##     55.51211676, 38.05063771, 78.36680561, 63.52289397, 0, -10.50214329, 
##     8.920534355, -35.86102473, -37.17113505, -32.79406708, -32.16129018, 
##     -33.32443011, -21.9, -15.86552622, -20.52222861, -31.09982806, 
##     -34.09789535, -16.5058661, 118.6793982, 124.0373679, 116.0668986, 
##     93.97169393, 78.41258974, 72.36138495, 65.15587991, 52.78646819, 
##     53.16768182, 49.24324088, 43.97115462, 47.09993824, 41.46346893, 
##     39.08807044, 36.62702266, 34.93690134, 37.13855083, 35.73815196, 
##     36.32776063, 42.50387076, 43.99187145, 46.71677244, 45.19506299, 
##     56.4705839, 49.47012303, 54.5261802, 53.42530978, 66.95698886, 
##     55.89713904, 62.64649353, 120.0361223, 108.6589552, 113.673381, 
##     46.3647609, 17.06357524, 72.71502707, 98.00125245, -18.61673932, 
##     -8.349468641, 0, 11.31509816, 6.764245759, 17.75390333, 12.92443335, 
##     61.47535397, 126.3669908, 111.4711519, 113.554642, 108.0950629, 
##     89.8549145, 85.92637309, 89.15571749, 81.04810066, 76.85343866, 
##     75.97796018, 73.671721, 70.1717603, 68.40913014, 67.80396944, 
##     74.67514957, 65.46420759, 60.18066321, 57.15744435, 57.8953369, 
##     53.08755781, 53.9, 46.70472355, 48.5907509, 43.95877038, 
##     48.18101436, 55.8215478, 53.07172135, 53.33562838, 57.67654164, 
##     60.14672778, 63.37256006, 50.90836756, 64.31355727, 60.61348277, 
##     77.92251671, 55.56845483, 41.80752944, 62.00744591, 138.0808039, 
##     138.4422827, 63.86593852, 53.30464158, 60.0694959, 117.8456183, 
##     49.46061482, -4.149890094, 0, 15.49223199, -14.1, -7.227348742, 
##     21.17414502, 16.67192252, 4.204552227, 25.21876967, 81.65836905, 
##     89.60026426, 152.9153748, 125.3297789, 108.4047146, 108.6461045, 
##     78.77529602, 83.01053715, 82.02933118, 75.70892126, 70.22569315, 
##     73.91845326, 72.81430131, 73.46821695, 73.6438437, 56.50751611, 
##     53.47971595, 52.44699349, 51.97199561, 51.1, 36.65527956, 
##     40.38844766, 41.41496975, 39.7766661, 41.2639743, 44.084509, 
##     45.60738971, 46.66421861, 44.87851806, 47.28006592, 49.640139, 
##     48.01361035, 50.17617462, 48.5005516, 52.9889407, 51.86530906, 
##     53.73018206, 53.52440905, 53.08367376, 63.96261856, 60.66245099, 
##     73.25276187, 70.54187779, 85.79148979, 127.5096412, 73.9974884, 
##     80.61998236, 123.2567858, 87.76431522, 133.5649728, 113.1198512, 
##     58.13092176, 45.16334411, 116.8148628, 140.7343476, 123.0031302, 
##     142.1334643, 132.5817664, 147.3880557, 146.47166, 0, 152.5373047, 
##     150.3554352, 149.6501035, 143.1941421, 121.7805939, 139.6888913, 
##     129.4610079, 152.0837931, 145.3647409, 140.5647649, 147.1127674, 
##     140.8351753, 147.789502, 143.5268613, 112.7885283, 126.0961497, 
##     85.45068851, 96.95321101, 109.7438865, 98.00125245, 105.1235032, 
##     50.50406291, 41.5952087, 10.66513285, -25.20522368, -47.45704197, 
##     -60.10827514, -60.15444128, -63.83604604, -76.77764748, -88.15256606, 
##     -81.10335719, -83.51843491, -80.22487013, -76.91630291, -73.89218329, 
##     -75.62834398, -73.6, -76.28044826, -82.59832557, -90.96493119, 
##     -93.22300754, -106.6150505, -110.3095951, -111.4190855, -102.2255434, 
##     -96.85809326, -91.64164606, -97.34186198, -116.3540479, -112.3276352, 
##     -103.0376827, -96.27655217, -102.7055709, -101.9203803, 128.5775828, 
##     125.0873206, 121.1521422, 119.1850776, 114.3246722, 118.6005535, 
##     115.3019093, 114.5223428, 116.2599583, 91.04251868, 90.86169995, 
##     88.78468989, 93.5299929, 105.081009, 103.6140379, 122.7376762, 
##     123.4642109, 125.4447171, 118.0755791, 122.7772386, 117.8114507, 
##     91.4429036, 102.0402736, 120.3704711, 116.2409717, 117.4087664, 
##     104.6137099, 133.5871495, 118.8575827, 124.1009098, 132.1290941, 
##     128.5732646, 135.1362671, 130.8990351, 123.8328854, 130.8604876, 
##     128.4631559, 131.2678128, 129.2203068, 120.8372698, 120.094365, 
##     117.7476968, 117.2945289, 117.5280328, 123.4062351, 122.8806457, 
##     115.7245673, 129.0931174, 119.2755538, 125.0444578, 125.2218922, 
##     129.1912526, 131.3651179, 104.0947257, 103.404512, 84.94189395, 
##     97.66063445, 109.0134922, 117.2695544, 118.2835528, 119.716567, 
##     137.4, 137.8294692, 114.3786496, 96.16716642, 102.6405309, 
##     123.8950304, 127.2160188, 133.2133161, 126.7206489, 128.67368, 
##     136.5004534, 134.6687305, 134.5796818, 127.6704998, 130.4848115, 
##     129.1652483, 125.7242914, 123.393255, 126.8663632, 135.9793394, 
##     134.3218802, 127.8413963, 116.1728504, 118.0332504, 120.5016366, 
##     125.676963, 118.0588015, 118.8036791, 124.2733052, 113.1765401, 
##     108.7882993, 113.7859594, 116.9993427, 115.292084, 133.6488354, 
##     124.5743538, 131.237083, 102.1241253, 96.7103035, 76.40203729, 
##     100.4498223, 91.54368348, 117.4623294, 106.5239524, 122.9672714, 
##     137.7138026, 137.1, 127.062887, 122.6123662, 132.5643701, 
##     120.0167006, 123.839302, 126.5523348, 132.2531248, 122.3540155, 
##     116.3038828, 120.0595319, 134.1105398, 118.0552746, 114.5529296, 
##     118.4111598, 126.539395, 121.6579254, 121.0837215, 117.3803457, 
##     96.32585259, 101.6766062, 109.5310287, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.7, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.7, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.7, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, 14.70010832, 14.70010832, 
##     14.70010832, 14.70010832, 14.70010832, -103.0376827, -42.38868161, 
##     -30.45180901, -30.45180901, -30.45180901, -30.45180901, -30.45180901, 
##     -30.45180901, -39.04633034, -39.66852561, -41.53413214, -41.53413214, 
##     -31.76810155, -17.61527668, -17.61527668, -17.61527668, -28.0726995, 
##     -36.91197633, -21.92522451, -20.53520723, -33.12010858, -22.41125813, 
##     -18.45079879, -24.99968083, -12.11292289, -18.99111786, -13.95272197, 
##     -5.805849698, -12.37867582, -16.72615541, -16.95218323, -16.4719263, 
##     -17.57715769, -17.00317009, -18.00250581, -15.10925238, -16.11536977, 
##     -18.96191565, -15.97652949, -13.1, -2.436368712, -20.65628314, 
##     12.42949419, -48.62854932, -4.551729119, 35.07039572, -45.17289204, 
##     -81.48269164, -118.9758331, -45.81903823, 17.01191643, -68.9493449, 
##     8.731504888, -29.40277087, -30.97029445, -39.35641353, -22.41493903, 
##     -2.225705493, -6.716609502, 9.691008109, 6.891550999, -21.78466115, 
##     -26.61355755, -38.59867618, -33.65158015, -33.20909128, -20.49607591, 
##     -23.36598077, -15.70475849, -30.87782238, -33.4443946, -38.05063771, 
##     -33.92926145, -37.97424052, -60.41648469, -81.14969697, -107.2626643, 
##     -104.8992428, -131.3131055, -71.83525053, -73.62207175, -47.36580493, 
##     -48.0895191, -45.44888073, -34.36378893, -11.35881131, -17.98244159, 
##     -26.40967003, -17.44889111, -23.09098237, -10.58547573, -27.29334375, 
##     -56.52760939, -25.4968429, -22.07844308, -25.26579071, -18.16880118, 
##     -15.13237962, -17.30718834, -16.03977125, -13.26792323, -8.851799444, 
##     -18.08711962, -17.74944578, -13.4936121, -12.74991936, -12.09834711, 
##     -4.256711554, -11.59589677, -13.73115358, -6.716609502, -14.30575218, 
##     -26.05794791, 0, -19.07223835, -22.90568225, -10.91961612, 
##     -26.25388706, 6.190094692, 91.65257428, 112.6043981, 28.19273684, 
##     106.192718, 114.6484771, 83.49296859, 126.3669908, 90.28269148, 
##     92.65554587, 73.52261359, 71.83525053, 70.43991861, 78.46277471, 
##     55.46909969, 46.96260028, 35.09681306, 24.24668226, 24.90733042, 
##     15.03034691, -5.43392825, 8.663881025, -3.911306632, 10.85189399, 
##     -135.2127381, -70.36389513, -70.9, -84.41539861, -70.08027019, 
##     -76.37967599, -48.62854932, -42.98970553, -28.3639965, -25.33497435, 
##     -34.18627377, -18.27130115, -21.60333891, -23.33962361, -27.51248098, 
##     -30.09558756, -26.89872491, -26.9482692, -26.6321934, -21.01684811, 
##     -31.31730045, -29.69832736, -19.13522051, -21.5971921, -21.76819395, 
##     -18.6773302, -22.82776777, -25.21930782, -21.30004066, -19.06949527, 
##     -13.12825891, -19.49543261, -19.82799109, -17.67968693, -10.24326792, 
##     3.36781175, 1.886568602, -45.87383923, -26.70422682, -10.32914259, 
##     -10.32914259, -10.32914259, -10.32914259, -10.32914259, -10.32914259, 
##     -10.32914259, 20.56762757, 55.77721332, 58.64066432, 30.9, 
##     15.16586132, -64.18410099, -136.7489294, -61.9713941, -63.60569136, 
##     -56.78658952, -77.41752759, -96.87234065, -26.15144906, 16.03030484, 
##     18.31108173, -13.08074961, -55.24608409, -27.93159841, -29.84989316, 
##     -31.54314818, -28.59344285, -15.18649414, -14.30539073, -22.5, 
##     -33.33709731, -28.63961509, -33.09460697, -78.98825284, -117.9722649, 
##     -52.9903716, -45.81475016, -58.24978242, -41.12417314, -31.54010699, 
##     -31.95691074, -29.76478869, -44.59798361, -46.10140711, -28.16941913, 
##     -23.93674977, -25.06608618, -13.43925208, -11.85433406, -27.82644105, 
##     -16.6124289, -15.0122486, -24.03904924, -14.90327772, -12.27416449, 
##     -17.07596919, -14.69790278, -10.4440267, -18.64571587, -20.34015113, 
##     -20.03621015, -22.63438685, -19.43520493, -12.31235319, -16.21303877, 
##     -22.55842466, -29.49989738, -30.6405218, -32.59037614, -35.23183736, 
##     -63.01602168, -67.66859818, -76.6903962, -73.57763998, -31.71831167, 
##     -59.24532037, 88.12217609, 73.0743936, 14.29807735, -49.25408519, 
##     -25.06869231, 24.33608496, -13.27135627, 0, -47.94210856, 
##     -53.76832531, -47.6, 2.498698966, -4.319678438, -28.9873469, 
##     -34.54740231, -11.53426492, -8.160989053, -20.53953892, -47.07327049, 
##     -71.27199865, -84.79717011, -94.97922133, -99.66570051, -87.83437981, 
##     -91.13726047, -84.69570726, -100.6157378, -74.74556211, -58.01518746, 
##     -114.1208007, -88.73297408, -63.29433146, -36.12037555, -36.69416948, 
##     -31.78907465, -35.16795808, -31.91650089, -31.47665067, -35.15755886, 
##     -17.7076561, -8.224765903, -4.874909038, -9.949720371, -17.58934163, 
##     -15.57978306, -11.9513137, -4.344085384, -4.678465088, -9.600029037, 
##     -3.470744202, -7.98476563, -8.290476004, -7.022902117, -4.213500212, 
##     -2.602504275, -6.363924738, -2.234997316, 0, -3.33251073, 
##     -2.71897124, -2.010211014, -7.501033524, 29.69404303, -40.73257806, 
##     -47.80444224, -8.394290963, 37.03710885, 3.832946785, 0, 
##     8.174065319, 23.01111821, 64.939906, 30.5401107, 2.87400631, 
##     9.329579797, 11.96376739, -24.24668226, -32.25767744, -46.05539917, 
##     -65.77709012, -7.981409221, -3.086557061, -23.55449807, -30.33854175, 
##     -37.80477038, -77.55936135, -97.99235766, -79.40328155, -60.7811039, 
##     54.50675432, 42.40724822, -18.39488598, -50.82672462, -35.13194861, 
##     -11.40229373, -32.32584958, -33.12010858, -32.2270331, -17.72715695, 
##     -20.07327704, -14.47675854, 3.322888937, -11.70585861, -17.90946932, 
##     -16.82933484, -13.34215029, -18.14065025, -20.4, -118.6793982, 
##     -104.8992428, -61.54797087, 100.2280531, 81.0253119, 50.91296131, 
##     60.55446636, -8.28553568, -12.06785531, -19.08939271, 14.94431378, 
##     0, 19.13180644, 5.446002185, -7.120696056, -25.06869231, 
##     -14.26974268, -7.227348742, -6.132356944, -23.59051868, -20.31972605, 
##     -16.17381726, -34.22679054, -48.47671336, -78.29105909, -34, 
##     -82.67988383, -59.95566346, -51.48059551, -54.04195003, -73.78404537, 
##     -42.98970553, -15.23832406, -26.21198413, -33.32443011, -33.55973672, 
##     -16.7935249, -19.4160544, -12.4012163, -17.52913463, -13.33698562, 
##     -9.351940963, -13.17528146, -14.29807735, -14.00321436, -8.913444188, 
##     -15.94890988, -6.546159028, -8.739837869, -12.96976886, -11.4830784, 
##     -7.61813492, -14.0941395, -15.22156162, -17.22596409, -16.19246865, 
##     -12.64406458, -8.465348108, -18.64478653, -23.1477364, 45.38147033, 
##     44.46412465, 40.29216053, 18.93664838, -99.5910388, -87.32277888, 
##     29.12849284, -18.87656925, -58.80026035, -7.941633568, -2.456130301, 
##     3.649254514, 10.61660445, -54.62941669, -57.67535027, -60.68069952, 
##     -42.75486653, -35.79035134, -56.6261888, -77.33488044, -109.7438865, 
##     -120.9958883, -72.97276562, -70.73692185, -66.00056712, -50.51180952, 
##     -31.91166202, -26.78062049, -16.09037358, -35.18044712, -17.8, 
##     12.16771679, -5.145715536, -18.31660668, -9.485793948, -2.914613905, 
##     -1.369777337, -3.824217105, -15.09490034, -15.18027116, -9.611829964, 
##     -6.330958851, 4.419777642, -2.190977888, 1.073491273, 13.70561994, 
##     14.57305881, 8.863144973, 5.104489655, 5.310775803, 11.33697248, 
##     28.28283972, -1.453453574, 0, 21.16969583, 21.29896686, 12.22190092, 
##     -27.03951245, 126.1603006, 68.14112911, 8.28553568, 19.73955598, 
##     18.59701734, 78.41258974, 60.90366098, 35.87706703, 9.549131716, 
##     81.78742388, 54.70222083, 26.30177524, 14.90295079, 51.30249217, 
##     24.09931417, -15.76797612, 4.104201821, 11.83787562, 20.29281194, 
##     15.66953105, 0, 0, 5.072376105, 18, -10.80428526, -22.99421052, 
##     -13.05595099, -42.05343353, -94.6042458, -23.1477364, -42.36101247, 
##     -28.28653578, -41.16950992, -36.61865602, -20.63883145, -32.92010403, 
##     -23.1477364, -19.87556444, -24.73624834, -39.46511876, -38.32721242, 
##     14.69520847, 11.26580405, -5.987442118, -23.67109208, -18.1282888, 
##     -10.15278567, 6.959246512, 11.9, -2.256947298, -16.23016867, 
##     -7.249839, -3.062021753, -1.157352629, -2.282226872, -4.766952648, 
##     0, 3.5083522, 2.583783854, 2.545620087, 3.832946785, 6.545792668, 
##     6.716609502, 18.50118397, 16.24432112, 15.72510557, 30.32271477, 
##     26.72639278, 19.60128359, 8.696582136, 10.88172139, 16.84481995, 
##     24.58953056, 7.035013852, 5.88208392, 5.182902383, 8.02465787, 
##     4.986638123, 8.39984176, 12.76534841, -24.76309777, -26.04732706, 
##     -27.89618546, -36.62588159, -42.79113619, -35.59308968, -35.39044841, 
##     -34.71883702, -62.39603607, -67.42957688, -58.89800584, -51.80908312, 
##     -45.82679348, -38.26530083, -30.2, -29.31913985, -28.11272148, 
##     -26.70422682, -28.69691704, -32.35562915, -31.74587353, -28.16794292, 
##     -27.79439237, -24.92165382, -26.34071715, -29.81490388, -29.57672096, 
##     -29.70630228, -30.46730006, -31.66654847, -27.61615772, -33.65436246, 
##     -34.19710991, -34.34047345, -33.01329615, -30.83776781, 121.2176649, 
##     119.6916373, 115.7105825, 119.7285436, 121.5116635, 115.613544, 
##     114.6484771, 120.6617522, 127.1546126, 120.2727073, 112.9146851, 
##     114.7792086, 111.8003487, 104.4214316, 71.95711012, 82.45579897, 
##     77.55936135, 71.53798667, 75.90702093, 78.9, 81.9859735, 
##     87.10857263, 89.80154879, 94.64777237, 80.49982514, 87.59422768, 
##     85.41697441, 69.17213924, 56.7692474, 58.22989752, 61.38668642, 
##     62.15141388, 65.70974806, 65.34461529, 66.01439594, 71.61589542, 
##     70.93318409, 73.87341186, 79.17758187, 80.57849984, 82.3713163, 
##     81.00587953, 78.98845222, 82.05400873, 81.89388821, 84.08406225, 
##     87.32384271, 88.9885123, 81.31726308, 91.26362705, 94.44064115, 
##     88.23786744, 83.49296859, 101.5302304, 92.81534991, 89.80613877, 
##     83.98012629, 85.02489137, 83.45045414, 81.86671659, 79.97059873, 
##     69.89080398, 61.51506755, 55.45854221, 52.8223678, 54.78775413, 
##     60.44930367, 62.8, 73.56611106, 73.43543882, 70.83896403, 
##     72.2787212, 73.97684489, 73.80463804, 86.56593193, 86.80867322, 
##     84.4704375, 88.40192417, 90.10869824, 93.36604156, 95.876295, 
##     92.49804073, 95.93350482, 100.6786548, 96.60360976, 101.4802886, 
##     103.5046257, 101.0800831, 89.73540851, 91.40275358, 88.21931093, 
##     90.66998748, 93.80338076, 97.54380446, 94.29374416, 101.2197011, 
##     109.199581, 108.3857438, 103.030894, 94.22454462, 94.65795182, 
##     98.18111779, 103.8920977, 102.5485938, 95.49251403, 91.36252335, 
##     80.81959502, 75.47302943, 74.41219117, 72.34519071, 74.49556166, 
##     72.47520537, 60.8, 59.49604912, 62.74515158, 66.44112965, 
##     66.8959395, 65.51565776, 66.68420232, 71.74493816, 73.89531985, 
##     76.42360151, 76.96704246, 80.17917602, 80.05703456, 84.88617269, 
##     86.97751589, 87.53479898, 88.11729407, 91.19804584, 90.13802958, 
##     92.60086435, 92.91406782, 98.33156953, 99.64378797, 93.96357029, 
##     103.0196664, 109.8782495, 99.91764894, 97.98291866, 109.0746928, 
##     99.22362378, 104.5195903, 104.7495923, 102.0421611, 99.40567423, 
##     94.39450055, 94.70500446, 81.94389286, 74.52193105, 72.87787615, 
##     72.02057172, 73.04077882, 68.25677971, 67.87577136, 64.30249229, 
##     60.68396366, 54.65932521, 63.33841316, 63.36244251, 65.2314573, 
##     68.86727882, 73.60469527, 74.40365798, 77.24809628, 79.4227564, 
##     82.81422052, 83.89546542, 88.6175121, 89.07431959, 94.38681243, 
##     93.00541018, 91.26701357, 91.04004711, 91.54609018, 92.29952093, 
##     91.55006699, 96.03222118, 96.4408065, 92.35591962, 102.2584826, 
##     97.4649739, 95.7287122, 95.3995103, 106.5355751, 98.83298788, 
##     95.20920931, 95.6819461, 96.88357775, 90.21596447, 85.63974702, 
##     79.6445603, 81.19400697, 70.01240899, 67.92414525, 73.19595983, 
##     75.75755093, 72.76968961, 69.82212619, 55.67593673, 56.308947, 
##     57.34241672, 63.31729486, 62.65961219, 71.38298359, 69.39166498, 
##     72.14603517, 74.17700637, 74.67419669, 81, 85.300192, 87.03161819, 
##     94.33508222, 93.61184263, 96.17357044, 100.8862923, 97.64841863, 
##     103.2078013, 117.3805918, 104.1257549, 113.9939775, 119.2341308, 
##     116.9549185, 113.9140033, 111.5468783, 108.4035058, 107.8335582, 
##     104.2737996, 99.895704, 97.82833174, 96.35138484, 89.86796974, 
##     87.65161167, 72.86826872, 74.4484757, 73.38176675, 71.68671267, 
##     63.90228154, 60.22225032, 60.44780384, 62.62136701, 63.54941577, 
##     74.25533826, 74.55929538, 75.72780905, 77.13900891, 82.28044846, 
##     84.17654864, 85.32407705, 89.27756122, 91.22270391, 94.7980721, 
##     92.18945821, 101.1944323, 100.5854308, 100.7109896, 105.6388482, 
##     111.7717038, 111.652283, 107.8956887, 110.6079928, 112.4978846, 
##     113.6497236, 114.383331, 112.3986997, 105.5200942, 103.3290611, 
##     101.5761274, 100.8941908, 98.6373815, 92.78571132, 89.17419276, 
##     76.57806167, 62.46465147, 60.8, 91.60459397, 92.55085417, 
##     90.47169629, 86.91142004, 84.54163345, 80.89359886, 77.39084567, 
##     72.34325566, 71.86067109, 69.89135859, 70.14643671, 65.59016239, 
##     63.8813029, 61.62985652, 63.10141231, 63.93113774, 66.22504228, 
##     70.47092567, 74.19408362, 74.19072945, 79.67932785, 81.19884376, 
##     84.05300471, 85.24699582, 92.79270964, 93.9406892, 93.1843004, 
##     96.19554876, 93.20646572, 95.1980413, 100.2291222, 101.4289228, 
##     104.488279, 107.448789, 107.9188668, 102.5643705, 106.3871151, 
##     116.7063578, 112.8794865, 105.7535614, 105.9538936, 108.6714898, 
##     107.0514059, 107.0303491, 100.7263616, 98.82627042, 101.5170969, 
##     96.17302656, 94.31664578, 88.3771713, 84.03651171, 80.92733474, 
##     78.76769408, 74.87791187, 72.40041644, 73.21871188, 72.09907526, 
##     69.54297736, 64.42078263, 59.23118439, 61.49964892, 62.29615342, 
##     65.39520002, 72.27110523, 71.63482299, 77.64921815, 81.37306608, 
##     82.1748878, 82.24737687, 84.81459601, 81.96128936, 89.48340829, 
##     88.09652358, 84.77729785, 85.28070035, 91.84659981, 95.26850562, 
##     96.61351807, 95.99303226, 99.9, 102.018894, 100.0908902, 
##     97.55001279, 97.83348182, 106.2067935, 105.706104, 104.5636136, 
##     109.4716876, 109.4716876, 109.4716876, 112.3549994, 112.3549994, 
##     112.3549994, 112.3549994, 114.7261022, 114.7261022, 114.7261022, 
##     114.7261022, 116.6080168, 120.2236597, 117.9356659, 117.9356659, 
##     117.9356659, 117.9356659, 117.9356659, 112.8801544, 109.2777353, 
##     109.2777353, 109.2777353, 109.2777353, 109.2777353, 109.2777353, 
##     109.2777353, 109.2777353, 109.2777353, 115.1506501, 92.07070267, 
##     84.53150225, 97.09072314, 99.97646135, 68.56336639, 68.56336639, 
##     70.78037069, 76.76639489, 84.22995855, 76.21122793, 76.21122793, 
##     85.16569021, 77.13994451, 67.74677957, 71.68567491, 71.7, 
##     95.4590076, 101.6234029, 99.17465165, 99.17465165, 95.4590076, 
##     101.4984779, 99.17465165, 99.17465165, 99.15074728, 97.29494377, 
##     99.54912686, 99.33471192, 100.2280531, 100.2280531, 101.0978897, 
##     98.72351012, 97.87719389, 99.97646135, 97.64543658, 97.64543658, 
##     97.64543658, 97.64543658, -73.61571304, -73.5563489, -74.73237863, 
##     -73.01652936, -73.8868108, -74.24480347, -73.72126245, -73.03220387, 
##     -74.04205452, -74.2, -74.94830136, -77.27975218, -76.65430783, 
##     -78.02294164, -78.67769568, -77.27975218, -75.39280487, -75.56273102, 
##     -79.11567845, -78.08503145, -76.75846934, -75.73186402, -78.14483226, 
##     -75.90845068, -76.51617111, -76.42928777, -72.62110394, -72.05946022, 
##     -72.23540338, -71.67871956, -70.5917401, -72.24587795, -74.06951333, 
##     -73.62825741, -76.23822634, -76.86169074, -76.87614328, -77.8, 
##     -76.5046617, -79.74372437, -80.44991306, -78.28319865, -81.69941759, 
##     -77.00991955, -76.24408569, -80.54924445, -83.15930726, -81.41390227, 
##     -80.39733977, -80.83767088, -81.18921369, -81.36284309, -81.71850355, 
##     -78.47222828, -78.20917469, -80.83582838, -79.66348013, -79.6, 
##     -79.25014076, -79.1803898, -79.00919344, -80.12036974, -79.35637521, 
##     -78.28045056, -79.1803898, -79.3868018, -79.76843393, -79.70351738, 
##     -78.94066627, -79.5299565, -79.04457194, -79.63744932, -79.21816094, 
##     -78.58167906, -78.33837013, -78.69017815, -78.37594903, -78.5, 
##     -77.82962016, -78.26975145, -77.91806325, -77.69778399, -77.83875257, 
##     -77.90751877, -78.26975145, -78.00505, -78.36148849, -78.30503934, 
##     -78.09387623, -79.45777244, -77.52074793, -77.77716489, -77.33951158, 
##     -77.92626761, -78.00775366, -77.92626761, -76.73578222, -76.38775895, 
##     -76.40151248, -77.40210261, -77.4388851, -77.12316462, -77.78786292, 
##     -78.60718883, -80.68532423, -81.65842309, -74.27118459, -73.9056422, 
##     -77.12918848, -82.04894712, -78.4041691, -80.47921859, -80.25922225, 
##     -77.99199004, -77.61620869, -80.62487083, -81.00364649, -84.95354408, 
##     -86.41225866, -83.89179194, -82.3211035, -83.31462747, -82.77598871, 
##     -82.90618782, -81.36328975, -80.95774688, -82.78049642, -82.56097167, 
##     -82.280931, -82.75170509, -83.22380017, -80.56051933, -81.58924905, 
##     -81.93618599, -83.05722101, -83.37018747, -82.06399203, -81.06458346, 
##     -83.697845, -83.02339843, -85.13279726, -88.45995185, -87.89051762, 
##     -80.78862709, -68.92781249, -67.12379518, -69.19213822, -68.63273408, 
##     -61.70937662, -49.04373231, -47.41577325, -47.12691721, -48.6311617, 
##     -62.31318499, -68.12740446, -75.66842642, -71.01475776, -64.21242504, 
##     -62.61135071, -61.9249265, -55.11907714, -42.26354586, -39.89920765, 
##     -44.1450264, -56.88601349, -53.94837281, -79.83462669, -79.80820067, 
##     -77.80272895, -100.1559229, -90.64159426, -93.92554601, -90.24379466, 
##     -89.61362024, -85.82484023, -98.71686741, -91.99196064, -87.08967744, 
##     -84.18295455, -79.54898418, -67.3, -57.81696415, -53.61493686, 
##     -49.00573034, -48.9866745, -59.69579692, -62.95460815, -57.84467464, 
##     -53.66175445, -48.94945074, -49.69941046, -46.36090336, -44.38780446, 
##     -49.98836551, -54.62882005, -72.15026389, -77.64449781, -81.28776628, 
##     -85.09282868, -78.69312798, -80.585436, -86, -77.46243296, 
##     -73.05514497, -87.77612528, -83.5871616, -77.27975218, -67.16241784, 
##     -62.45670501, -61.55695405, -59.34897519, -61.2659122, -59.30535202, 
##     -60.20281584, -57.64115347, -64.66415411, -69.55132401, -62.37416131, 
##     -64.86706595, -47.56375512, -58.59375471, -68.49566518, -68.60130216, 
##     -63.6163266, -63.84352293, -62.87235072, -60.21771986, -57.8062835, 
##     -56.28412055, -52.56451453, -56.02995513, -64.11032813, -66.75487409, 
##     -66.24899219, -69.50146147, -74.52942147, -66.67685926, -76.69250733, 
##     -70.58854754, -68.27534143, -100.7806319, -85.70643223, -95.5300405, 
##     -95.20563304, -87.78704256, -80.3115884, -72.65801276, -69.09729342, 
##     -71.94006251, -88.03505825, -90.91970152, -82.33207891, -68.60098186, 
##     -69.56409914, -70.8271994, -64.52209436, -63.48384945, -61.8902165, 
##     -55.54356732, -57.29999872, -62.9517585, -68.06232482, -66.29589142, 
##     -61.16416996, -62.04890013, -55.28625288, -53.28155731, -52.30169968, 
##     -51.16588205, -49.56039868, -47.30755856, -50.52200574, -51.54016072, 
##     -58.66744998, -69.49110167, -73.6180126, -62.26436921, -75.45675324, 
##     -77.38100328, -64.04552308, -73.22304356, -68.62671622, -69.09630453, 
##     -83.72724497, -76.22103412, -70.96610796, -74.50232885, -79.64337276, 
##     -77.10025403, -75.98277339, -70.28912072, -74.31399009, -75.09309967, 
##     -67.31394689, -65.04260379, -68.36055005, -65.63646261, -60.24492078, 
##     -64.96886933, -59.79930733, -58.22905117, -57.46936124, -53.13097429, 
##     -53.92493032, -56.92908897, -53.2, -64.51226558, -61.49604634, 
##     -62.31060706, -62.04210353, -52.57305867, -57.12242009, -55.02536383, 
##     -52.41465736, -50.73379122, -50.11605211, -47.59838493, -49.7263697, 
##     -52.26683299, -63.66928274, -66.2868586, -73.49125661, -68.05478131, 
##     -73.60384332, -71.1, -88.32827789, -79.30747625, -67.82763261, 
##     -69.96415278, -72.92661116, -82.86339715, -78.96983924, -76.17176142, 
##     -75.23575463, -63.95092995, -59.35465478, -60.92654296, -63.40246422, 
##     -58.90128846, -61.96837076, -65.55649816, -66.02076056, -65.18324045, 
##     -57.31161611, -62.44087823, -58.22345863, -56.55441816, -52.35766209, 
##     -65.2308911, -63.9828088, -59.65418183, -50.54284742, -48.60530357, 
##     -49.78195788, -57.54043278, -64.71422231, -65.84997102, -78.07323177, 
##     -87.62619043, -62.91576319, -61.8866673, -51.6225334, -49.27181146, 
##     -53.76832531, -53.5882989, -50.08608401, -51.575796, -63.2633801, 
##     -57.53861742, -72.62062241, -70.73307251, -66.27996077, -70.22157823, 
##     -76.57012539, -68.63322677, -69.1072441, -82.84275496, -84.86810293, 
##     -96.81772312, -95.41966696, -78.82559454, -77.19307413, -78.9767648, 
##     -80.47527304, -78.94053175, -79.09036424, -82.87349082, -78.2, 
##     -72.49392533, -56.27289938, -59.88472084, -61.81584169, -53.68707323, 
##     -54.73413098, -51.72536462, -50.20589376, -48.58952081, -46.60809858, 
##     -47.9439725, -48.32155933, -51.91359588, -57.02628398, -83.6, 
##     -91.14469344, -92.52060884, -93.30732123, -92.45582629, -91.69672654, 
##     -92.86595618, -92.91932358, -92.95490003, -91.729034, -92.7295218, 
##     -92.59597648, -85.99165845, -86.45869147, -86.62637359, -83.12356582, 
##     -80.31422522, -76.90586751, -74.35535722, -74.64349159, -76.218333, 
##     -79.23286561, -78.5894657, -78.3545049, -79.70244675, -81.73456444, 
##     -84.2467602, -76.17515057, -83.02250358, -84.08152702, -78.70429965, 
##     -74.9385045, -81.4820728, -80.05511663, -79.60441118, -77.72080503, 
##     -79.69136392, -80.95137238, -79.68814276, -80.08137425, -81.27565363, 
##     -79.95777577, -77.19863827, -76.20443961, -80.80164925, -82.42357413, 
##     -79.40976572, -81.62989634, -80.29719582, -80.93767803, -81.77890691, 
##     -83.72376403, -84.87854185, -85.80763196, -86.9, -86.36931181, 
##     -88.11686902, -90.15360747, -89.91897612, -93.08080841, -89.21326694, 
##     -89.42413049, -92.36944433, -91.14469344, -89.45724133, -90.14315498, 
##     -89.03859582, -92.45863839, -96.34609817, -93.16426048, -91.3070534, 
##     -91.42080875, -94.33064884, -92.55376803, -94.31290975, -94.5167775, 
##     -92.98011724, -89.65158067, -87.24847239, -93.80891522, -94.22122715, 
##     -93.30237767, -94.02069355, -79.46715349, -80.74128802, -85.02918257, 
##     -83.43207898, -85.57336676, -82.0981465, -87.05351677, -85.06798447, 
##     -82.88347653, -82.24691545, -81.89037342, -78.25927969, -79.34337607, 
##     -79.78915208, -79.3512621, -79.5089587, -80.32172187, -80.94604856, 
##     -78.53464116, -84.5, -84.71715737, -81.64189947, -83.54254749, 
##     -82.63745392, -84.35676433, -82.98452882, -80.65758071, -81.4247481, 
##     -92.68274537, -84.00975199, -91.2315199, -92.3575912, -95.1004248, 
##     -93.43599575, -91.52602027, -90.17198717, -92.13537748, -95.15544433, 
##     -95.65757881, -94.24732092, -91.95586048, -91.1, -93.02740141, 
##     -92.03316263, -94.71435876, -94.33324979, -94.92340005, -92.86919037, 
##     -91.28388007, -97.25012557, -95.39998692, -84.2881801, -83.97666933, 
##     -88.12019583, -82.24685644, -82.01507045, -81.67155667, -81.66667189, 
##     -86.09947023, -82.45365049, -82.67214401, -83.38999951, -85.1, 
##     -83.38999951, -81.5141371, -82.19199257, -79.58652677, -79.56142121, 
##     -80.29048452, -80.34295923, -82.7716812, -82.73250075, -84.05898746, 
##     -81.63478705, -79.88951663, -76.3855943, -73.02323398, -70.67531793, 
##     -80.65506109, -76.36416901, -79.28297536, -82.68818805, -82.76472923, 
##     -90.443274, -88.6, -84.90519316, -86.68492229, -88.45492309, 
##     -86.00230619, -85.17481673, -87.12975061, -85.43358861, -85.21422746, 
##     -88.90535612, -89.48868812, -90.77297498, -87.01065103, -87.19020165, 
##     -88.38928473, -89.08154641, -89.74776789, -88.1871292, -87.34761107, 
##     -88.5, -86.95601392, -87.28323016, -87.42040747, -84.81075087, 
##     -82.01507045, -81.26287849, -79.77107433, -72.09306443, -69.86014715, 
##     -71.0754555, -70.84678865, -75.48661975, -81.53032537, -77.88332333, 
##     -72.90606366, -72.95348477, -74.61989844, -75.73356652, -74.82414235, 
##     -77.29828072, -73.19009403, -70.6110365, -70.33973563, -70.7819939, 
##     -70.45297599, -69.20496166, -66.38525596, -64.02230549, -64.34236437, 
##     -65.46426649, -65.9, -67.05078393, -67.31745141, -69.37602697, 
##     -72.62660811, -74.95155549, -75.06901785, -75.85732459, -78.75070218, 
##     -79.05752679, -80.79733083, -76.45062795, -78.45435027, -78.01272295, 
##     -76.7863337, -78.77193365, -99.80462663, -100.6782517, -97.14641008, 
##     -99.71461935, -102.1713546, -109.7797104, -104.9305021, -102.8, 
##     -110.5092463, -110.0249597, -113.389634, -113.7433551, -113.7638177, 
##     -111.920121, -110.1020489, -110.5368622, -111.8087002, -113.6668247, 
##     -111.5157632, -114.405203, -110.1670673, -108.1291818, -100.2735002, 
##     -99.97652195, -97.44400128, -95.88261516, -95.99474172, -97.14635337, 
##     -97.45676033, -100.7729487, -102.6360242, -102.7349334, -103.0782439, 
##     -107.3342086, -108.921801, -109.2161783, -104.4951041, -107.997047, 
##     -105.8022625, -104.4351072, -105.3667193, -108.2571141, -107.0363634, 
##     -105.9148968, -100.3080146, -109.992473, -108.0234326, -109.665132, 
##     -115.5504203, -112.3260343, -107.3306197, -109.1892122, -107.7, 
##     -109.3569812, -118.2338336, -117.996982, -123.7021886, -122.0410549, 
##     -120.6915332, -119.2198298, -119.7279726, -118.6113116, -123.939352, 
##     -125.6644664, -126.4193422, -123.8453965, -122.4931185, -113.6462851, 
##     -120.540199, -109.6659637, -113.4276428, -114.5092544, -112.2199494, 
##     -109.9, -109.0923528, -105.9807679, -100.9593332, -88.01363314, 
##     -82.01100936, -78.28543629, -72.21812499, -60.49368357, -58.04922936, 
##     -50.47239947, -41.57479781, -39.13019026, -38.3873925, -39.47850358, 
##     -37.15492362, -35.00868502, -35.01724852, -34.63242262, -30.0716772, 
##     -29.17849455, -29.9558606, -75.10785083, -81.15169315, -83.87471702, 
##     -82.73136064, -82.13171947, -91.50065435, -91.1583817, -90.81616971, 
##     -91.28807317, -95.15005087, -102.483511, -111.3815361, -112.1013951, 
##     -114.7483661, -116.5786853, -111.1551312, -108.3878867, -111.2648477, 
##     -109.2866055, -114.5, -117.5492832, -117.3919026, -119.0689095, 
##     -118.7752003, -106.5128013, -104.0137671, -84.5692456, -82.36057607, 
##     -79.8290891, -51.56936954, -45.25168525, -41.35885264, -44.51909707, 
##     -41.81602904, -33.0954087, -36.66975367, -35.94991785, -34.77329722, 
##     -29.88192934, -34.46357012, -34.85425152, -31.96419841, -26.7, 
##     -27.61228553, -27.74043158, -27.65206852, -27.17052687, -27.14580803, 
##     -25.73952665, -24.66131833, -22.39690553, -22.20786896, -21.15214252, 
##     -24.46336987, -33.48742177, -34.64129345, -38.95891344, -33.46715895, 
##     -34.48209532, -36.73036431, -44.03705147, -51.55907878, -54.34473679, 
##     -56.74258867, -56.4482627, -58.95989063, -69.8, -72.73689459, 
##     -75.23794133, -80.08688325, -83.00767326, -87.10648743, -94.50206157, 
##     -95.6326148, -91.33483328, -86.89171904, -88.72358551, -94.82767093, 
##     -97.66016323, -102.4185043, -111.6697119, -110.7012496, -102.3523403, 
##     -101.5017536, -106.3835158, -114.0047695, -112.500861, -111.3073977, 
##     -112.5770186, -113.2632516, -115.4520477, -114.6919718, -113.6903272, 
##     -92.57208406, -82.6, -31.22445129, -27.46167873, -28.02775042, 
##     -27.64156431, -27.46816702, -27.95856728, -28.27929403, -29.2452705, 
##     -27.9114363, -26.76660755, -25.33032227, -30.03634415, -35.19564888, 
##     -37.04226853, -54.39098814, -65.2647122, -64.04619589, -80.5255934, 
##     -89.90620423, -95.42634285, -95.41966696, -96, -85.14413168, 
##     -82.09841409, -61.0712315, -53.85956512, -48.46061245, -47.57227628, 
##     -46.69562904, -41.36830824, -37.74570814, -39.48005107, -37.76870633, 
##     -36.8964324, -36.70913125, -34.96617646, -34.39222096, -32.50326727, 
##     -28.91530753, -29.9, -26.06645608, -26.57965995, -25.49382941, 
##     -26.17657446, -24.74195559, -23.86165631, -23.89500449, -22.49942562, 
##     -24.4587517, -23.5878393, -23.22755912, -28.23902205, -29.01470966, 
##     -29.834931, -34.39760248, -36.64405659, -37.49603199, -37.84692053, 
##     -42.7464313, -44.97337523, -47.76583193, -52.2442847, -53.38594169, 
##     -55.74436419, -58.81984725, -64.42153737, -69.6, -105.0104979, 
##     -103.9620129, -105.3784822, -105.8106568, -104.6344866, -103.8851041, 
##     -103.1351845, -102.5358838, -103.7821311, -102.365451, -104.0756061, 
##     -103.0376827, -102.5369539, -99.73048972, -101.9667562, -102.9440119, 
##     -108.2261738, -111.4215051, -114.9458976, -112.6075116, 36.20779022, 
##     25.37825543, 60.76789802, 54.16569808, 59.94349779, 61.38955324, 
##     38.46805624, 61.82483487, 50.6286385, 59.0395158, 45.50640087, 
##     84.54693795, 102.3906552, 93.77969095, 78.47211369, 86.10742634, 
##     129.7982933, 122.6541882, 104.2077026, 87.15786951, 91.69795345, 
##     107.5973012, 130.2700985, 129.7009991, 134.6645393, 136.7988939, 
##     129.2337978, 127.6304997, 129.9752961, 131.6975141, 126.4935481, 
##     114.138545, 77.61543915, 82.7, 104.7773314, 90.73416491, 
##     104.0059752, 118.1991504, 122.805932, 135.0355986, 136.6840167, 
##     117.7764076, 128.2570702, 133.3353704, 143.8001273, 148.5636638, 
##     139.6993172, 110.2689114, 98.98950416, 100.9558143, 96.4185126, 
##     88.8095698, 93.1725024, 90.18543171, 86.31077922, 89.34598319, 
##     67.83106969, 60.55195601, 49.84707172, 54.76874393, 71.57784031, 
##     82.4800807, 113.7763129, 60.61506352, 53.05280456, 61.75977296, 
##     62.87321527, 59.5962229, 66.02965992, 71.48467353, 67.00038657, 
##     81.17043128, 91.96934528, 94.08923695, 111.684644, 91.75683571, 
##     82.31327112, 111.6542643, 98.35550561, 115.5176461, 116.7801125, 
##     136.9148757, 124.2926644, 133.663035, 137.9643322, 134.3006293, 
##     116.4835401, 120.8, 119.2988028, 109.8901031, 123.097367, 
##     137.3046384, 132.1021537, 132.3750758, 135.9476914, 126.5942773, 
##     124.630751, 129.7591917, 129.704438, 115.3185287, 105.9374918, 
##     111.016762, 111.7239692, 103.8887197, 98.6, 94.01849677, 
##     95.54158285, 92.71112742, 90.42502553, 89.46317471, 52.61511641, 
##     70.18728001, 76.35930555, 72.78359608, 76.50751976, 82.27124659, 
##     72.58773067, 56.0585925, 51.48281165, 69.58515194, 51.88769931, 
##     56.28342806, 62.60886707, 57.41392898, 66.87465016, 54.7398932, 
##     83.49670137, 80.97835726, 113.5581977, 71.7119518, 76.32590419, 
##     94.85563355, 83.741255, 99.78559092, 106, 52.31922656, 55.1094672, 
##     55.64023334, 51.45057061, 44.35310765, 45.91323153, 56.57577223, 
##     58.45366096, 56.12080359, 59.40000721, 53.94645971, 74.14097314, 
##     61.24711188, 84.09922114, 86.8438791, 66.11791689, 77.03872497, 
##     67.29203299, 143.0952721, 71.35894355, 47.43055431, 105.3, 
##     61.0953102, 49.2443447, 44.68627322, 83.46198978, 70.33308281, 
##     75.25601743, 108.0650356, 149.734602, 70.88280415, 73.88447263, 
##     61.14367408, 58.75912711, 50.78551551, 54.48709215, 61.8633315, 
##     57.00808744, 84.53150225, 89.22295127, 103.53532, 106.6634623, 
##     110.3118874, 106.0850395, 87.716274, 73.10836087, 87.445719, 
##     118.785136, 138.0013174, 113.8298097, 73.20539324, 110.9316926, 
##     126.9446218, 142.2747926, 136.2758478, 143.7454292, 137.3929142, 
##     139.9689471, 111.1006069, 115.9237576, 111.6681166, 110.7703272, 
##     104.7277631, 108.1707574, 120.3847335, 100.2821416, 105.1395094, 
##     107.1, 94.65607231, 128.7471314, 132.4808182, 130.2685544, 
##     94.98749685, 94.0896558, 87.87940124, 81.35782674, 80.6971722, 
##     81.58753357, 85.18115695, 66.13776293, 61.52093407, 70.72669056, 
##     103.9826724, 60.97580527, 54.83789442, 51.6305693, 83.86929633, 
##     57.35057378, 57.73740035, 47.80386209, 62.99692304, 81.2140535, 
##     53.7, 57.6703336, 92.51964584, 86.85142407, 67.35572019, 
##     123.6146646, 94.17736677, 95.28479812, 110.7002663, 144.358011, 
##     103.6117346, 52.79848136, 40.48790029, 79.80590686, 117.9690772, 
##     128.3, -54.30053558, -71.39683306, -63.81369701, -83.2245641, 
##     -92.74908757, -77.55395641, -76.7641714, -75.67949809, -78.58736151, 
##     -82.10263317, -84.92875063, -82.5895923, -79.6868185, -79.6474198, 
##     -80.50501374, -78.83649847, -80.14316329, -82.63181973, -72.20068229, 
##     -75.18151131, -80.59852365, -79.33848087, -77.14964116, -78.18523936, 
##     -78.50921008, -76.27026316, -78.14126965, -80.86949373, -75.58926091, 
##     -74.47923345, -75.25747487, -76.93094274, -76.74541697, -77.6497419, 
##     -77.67388914, -75.98835509, -77.55938563, -77.53500696, -77.08271031, 
##     -77.0351623, -77.80269344, -78.1230132, -76.27026316, -77.78310767, 
##     -77.44845378, -77.53500696, -77.73295905, -77.55210389, -77.90652508, 
##     -78.00920032, -13.91705601, -3.324651457, -4.427833834, -9.352900907, 
##     -6.130534037, -6.466211832, -10.24112277, -14.79612107, -3.883190429, 
##     4.830979822, 7.710079021, 4.644991875, 0, -12.159398, -18.45666021, 
##     -16.06730084, -8.85231063, -10.1644191, 21.45277514, 37.32054396, 
##     7.982998571, -84.03865293, -87.78586967, -84.50273249, -81.20194312, 
##     -84.1321324, -81.47040121, -86.87989965, -83.17902452, -83.49742075, 
##     -85.36950619, -82.37100885, -80.22506334, -79.18148014, -79.80778626, 
##     -77.12864428, -74.20113828, -65.5865705, -59.62685093, -59.57633303, 
##     -56.12805012, -58.78137587, -58.55146777, -58.0857782, -58.79893597, 
##     -66, -50.2850943, -49.313124, -47.56084713, -48.35581998, 
##     -51.15832105, -53.54671795, -52.42548671, -52.64799818, -55.95811689, 
##     -63.4419819, -67.70482258, -58.05325085, -67.70527937, -76.56022153, 
##     -58.87796928, -72.28511366, -73.5767152, -74.86548438, -74.11339647, 
##     -74.73801145, -75.59212734, -75.6881906, -75.78495947, -73.21610378, 
##     -76.12026136, -79.36025517, -50.5722803, -50.44982316, -49.24364403, 
##     -60.05155531, -53.12684331, -50.31748205, -64.64523406, -79.08620057, 
##     -79.69692218, -76.31985369, -73.12439279, -64.75434944, -70.65346739, 
##     -75.98277339, -84.02951771, -89.13033265, -69.0321298, -68.35604021, 
##     -72.26734769, -71.78822247, -77.15616906, -78.03415945, -80.53186509, 
##     -69.22895776, -70.87209556, -69.06042446, -77.0945003, -78.05205155, 
##     -78.55195256, -78.55438051, -78.72920381, -79.43213644, -80.57273408, 
##     -79.61066286, -78.40897461, -77.94589762, -77.94589762, -78.65711382, 
##     -78.82820838, -78.22926298, -77.538573, -77.35322742, -76.86050999, 
##     -77.36030776, -79.1852518, -78.83316713, -77.96025997, -77.70975119, 
##     -77.77716489, -77.78310767, -78.30746726, -78.40651247, -79.08007238, 
##     -79.08007238, -77, 78.40131201, 90.20308974, 94.96644659, 
##     96.08955077, 96.65863916, 94.60898151, 98.25583414, 91.22972438, 
##     92.73875055, 101.7200996, 95.787431, 95.787431, 95.787431, 
##     95.787431, 95.787431, 95.787431, 95.787431, 95.787431, 95.787431, 
##     97.43844472, 97.43844472, 97.43844472, 67.28412519, 64.15057027, 
##     76.85335432, 75.13466134, 88.47521701, 92.18883606, 90.49101452, 
##     94.44295113, 97.80445216, 98.07994969, 101.6843818, 105.7519327, 
##     100.2489174, 98.25607475, 106.3871151, 107.1358391, 103.9349918, 
##     97.09751304, 104.2923567, 106.4344678, 103.475511, 100.2718454, 
##     99.57581005, 101.4327306, 100.1556606, 98.67667504, 97.28526914, 
##     91.83812443, 88.16844858, 87.89250703, 88.25318781, 87.63030614, 
##     78.11241748, 75.00258817, 75.04451504, 70.77347086, 70.29168461, 
##     70.15426445, 70.92370823, 62.57247505, 59.0796139, 59.49349778, 
##     61.90464874, 67.48823361, 66.04713447, 76.15897548, 75.42608906, 
##     82.29851251, 85.30748939, 89.4882632, 120.0640932, 110.6429623, 
##     85.58055636, 84.60653911, 79.21538751, 51.13257762, 67.79147277, 
##     44.0431979, 62.38828261, 71.97649418, 46.05564918, 76.24430172, 
##     86.66338251, 89.579608, 104.116823, 114.7924121, 107.8886425, 
##     79.11543881, 83.16868225, 95.12920914, 91.14437427, 92.79690574, 
##     95.26649966, 90.21082914, 121.0699371, 133.9179897, 119.4750011, 
##     92.72213589, 93.36108865, 130.7311746, 116.7941796, 97.41197645, 
##     108.9167189, 116.6765307, 140.2791315, 140.2724001, 135.2195395, 
##     132.9723083, 132.6486342, 133.1530341, 130.5422757, 138.2779842, 
##     140.7685755, 122.9192275, 123.8755129, 110.1162672, 109.0413974, 
##     94.78092003, 104.1682025, 109.539356, 131.6640382, 84.95536177, 
##     89.2, 137.0451331, 121.1252613, 115.0675236, 121.2535108, 
##     108.3590445, 115.9207464, 117.7555941, 134.8812646, 129.1340955, 
##     128.6510372, 136.000048, 109.1992534, 101.8088163, 100.526113, 
##     77.29858488, 77.31894925, 69.27679346, 61.65089282, 69.37445866, 
##     66.30095342, 36.37945114, 34.37747981, 77.42377181, 78.94443134, 
##     79.81525568, 70.29426732, 64.56270062, 60.62945522, 53.40098798, 
##     58.2567103, 49.14130946, 145.6715837, 95.38513624, 71.03891508, 
##     68.37407624, 41.22408114, 44.17344505, 65.36366454, 56.63756953, 
##     65.77416567, 64.51484357, 114.8726225, 102.0711353, 82.11884295, 
##     93.43114782, 71.36980799, 86.51840464, 101.2197011, 133.446491, 
##     129.9783469, 127.6518558, 135.6670373, 131.3634516, 143.3954573, 
##     130.3296608, 145.1282136, 144.1009547, 117.428376, 123.4802086, 
##     119.7069507, 126.8433924, 121.5140771, 112.9064176, 124.5561466, 
##     122.6968534, 72.8436122, 62.21127, 67.53996702, 49.68662812, 
##     53.55705517, 58.12484572, 116.0105254, 9.213905663, 20.35477824, 
##     18.94419868, 26.85599172, 15.43307778, 14.52674139, 146.5919388, 
##     137.0249969, 93.7244327, 69.89515696, 77.1480687, 83.545198, 
##     70.38363688, 57.65359037, 55.90660573, 53.16768182, 53.51742555, 
##     47.78171887, 42.35573461, 42.15596652, 41.60603071, 37.07647245, 
##     42.60880136, 44.26337339, 54.238924, 55.27020484, 56.74084483, 
##     59.00739876, 59.71153635, 61.57081134, 62.45358913, 60.6248382, 
##     64.23753334, 68.71389445, 73.42863068, 67.89436549, 67.85144809, 
##     66.36766784, 64.22423137, 64.52954308, 58.72941162, 69.7057358, 
##     98.63479125, 135.110353, 103.0305222, 10.39871659, 12.05810323, 
##     79.59474693, 121.4629689, 118.554255, -8.4, 91.04078243, 
##     65.2677231, 63.36194857, 47.8857545, 34.88276384, 37.989822, 
##     29.05622246, 46.3373505, 41.55731566, 36.44518212, 36.17216863, 
##     28.59079853, 29.10795132, 30.73900862, 39.39704422, 41.26510516, 
##     43.0040821, 44.49939068, 47.17575716, 41.66625443, 47.68461992, 
##     61.80133751, 56.40052217, 42.66941436, 72.11517029, 110.1646451, 
##     88.92264578, 57.60493955, 37.59084069, 50.44982316, 38.31870169, 
##     -65.4270584, 11.53426492, 24.96085253, -20.50280673, -7.388856138, 
##     3.567638645, -11.37971237, 3.799600061, 15.85306043, 12.95814849, 
##     114.6484771, 49.77232237, 51.80908312, 59.29609574, 46.23729092, 
##     42.03299975, 35.2355413, 32.99112616, 34.7, -27.15972912, 
##     -26.69434838, -27.07725287, -25.82469457, -28.94088728, -30.23136895, 
##     -30.10608714, -23.43826899, -32.2743439, -32.43975206, -33.75623196, 
##     -37.99858974, -91.96690316, -96.03207178, -100.7372696, -102.5303382, 
##     -101.3970337, -108.0376856, -113.9202735, -116.9489792, -111.6130785, 
##     -113.4998335, -114.5256424, -120.0318037, -125.2458728, -128.2
##     ), total_accel_dumbbell = c(37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 36, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 36, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 3, 3, 4, 4, 4, 4, 5, 5, 5, 
##     6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 6, 8, 8, 9, 9, 8, 12, 12, 11, 
##     11, 10, 9, 10, 11, 11, 12, 12, 10, 10, 9, 9, 9, 10, 10, 10, 
##     9, 9, 10, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 11, 11, 
##     11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 11, 10, 11, 11, 10, 10, 11, 11, 10, 11, 11, 11, 
##     10, 10, 11, 10, 11, 10, 11, 11, 11, 10, 11, 11, 10, 11, 11, 
##     10, 10, 11, 10, 11, 11, 10, 11, 11, 10, 11, 10, 11, 10, 10, 
##     10, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 11, 10, 
##     11, 10, 10, 10, 10, 10, 10, 11, 10, 10, 11, 10, 9, 9, 9, 
##     9, 8, 8, 7, 7, 7, 7, 6, 6, 5, 5, 6, 7, 7, 7, 8, 8, 8, 7, 
##     9, 9, 8, 9, 8, 9, 9, 10, 7, 9, 10, 9, 10, 10, 9, 9, 9, 10, 
##     10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 11, 10, 11, 11, 11, 
##     11, 10, 11, 11, 10, 11, 10, 9, 9, 9, 10, 8, 10, 9, 9, 9, 
##     9, 10, 9, 9, 8, 8, 8, 9, 8, 10, 9, 8, 10, 9, 9, 10, 9, 9, 
##     10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 6, 6, 6, 
##     6, 6, 6, 5, 6, 7, 6, 7, 7, 9, 9, 8, 8, 8, 8, 8, 10, 8, 9, 
##     7, 8, 10, 10, 8, 10, 10, 10, 8, 9, 10, 10, 9, 8, 9, 9, 10, 
##     9, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 7, 7, 6, 6, 6, 5, 5, 
##     5, 5, 5, 5, 6, 6, 6, 5, 7, 7, 9, 8, 8, 8, 10, 8, 8, 9, 10, 
##     10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 8, 6, 6, 6, 
##     6, 6, 6, 6, 5, 5, 5, 7, 8, 8, 7, 9, 9, 8, 7, 9, 9, 9, 9, 
##     9, 9, 9, 10, 10, 9, 9, 9, 9, 9, 10, 9, 9, 9, 10, 10, 9, 10, 
##     10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 8, 8, 8, 
##     8, 7, 7, 7, 7, 6, 5, 6, 7, 9, 8, 8, 8, 9, 8, 8, 8, 9, 8, 
##     9, 10, 8, 9, 8, 8, 7, 6, 6, 6, 5, 5, 6, 6, 6, 7, 6, 8, 6, 
##     9, 8, 7, 9, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 9, 9, 10, 10, 
##     9, 9, 8, 8, 8, 7, 6, 6, 6, 6, 5, 6, 6, 6, 7, 8, 9, 8, 9, 
##     8, 9, 9, 9, 8, 8, 6, 5, 5, 5, 4, 6, 6, 6, 5, 6, 7, 8, 6, 
##     9, 10, 6, 7, 8, 9, 9, 8, 9, 8, 9, 8, 9, 9, 8, 8, 9, 9, 8, 
##     9, 9, 9, 9, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 18, 
##     18, 19, 19, 19, 18, 18, 19, 18, 19, 19, 19, 19, 19, 18, 18, 
##     19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 
##     20, 19, 19, 19, 19, 20, 19, 20, 20, 20, 20, 20, 19, 19, 19, 
##     19, 19, 20, 20, 20, 20, 20, 20, 19, 20, 20, 19, 19, 19, 20, 
##     19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 19, 18, 18, 19, 18, 
##     18, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 
##     19, 18, 18, 19, 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 17, 17, 18, 18, 18, 17, 17, 17, 17, 18, 17, 17, 
##     18, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 
##     4, 2, 2, 3, 3, 3, 17, 17, 17, 18, 18, 17, 17, 18, 17, 17, 
##     17, 17, 18, 18, 17, 17, 18, 17, 18, 17, 17, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     19, 19, 19, 18, 18, 18, 18, 19, 18, 18, 18, 18, 19, 19, 19, 
##     19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 19, 19, 19, 19, 19, 
##     19, 19, 19, 19, 19, 19, 18, 18, 19, 19, 20, 19, 19, 19, 17, 
##     17, 17, 18, 18, 17, 17, 17, 16, 16, 17, 17, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 17, 18, 17, 18, 17, 
##     18, 17, 17, 17, 17, 18, 18, 17, 18, 18, 18, 18, 18, 18, 17, 
##     17, 17, 18, 18, 17, 18, 19, 18, 18, 18, 18, 18, 17, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 17, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 18, 18, 18, 
##     18, 18, 17, 18, 19, 18, 18, 17, 16, 17, 18, 15, 19, 17, 17, 
##     16, 17, 16, 16, 16, 16, 16, 15, 16, 16, 15, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 17, 17, 18, 16, 17, 17, 18, 18, 18, 
##     19, 19, 20, 20, 21, 21, 21, 21, 21, 21, 21, 22, 18, 18, 18, 
##     17, 17, 17, 17, 18, 17, 16, 17, 17, 16, 16, 18, 17, 17, 17, 
##     17, 16, 16, 16, 17, 17, 16, 16, 16, 16, 16, 17, 17, 16, 16, 
##     16, 16, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 18, 
##     17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 
##     21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 21, 17, 17, 18, 15, 
##     18, 17, 17, 16, 16, 17, 16, 16, 16, 16, 16, 15, 15, 15, 16, 
##     15, 15, 16, 16, 16, 15, 16, 16, 16, 16, 16, 16, 16, 15, 15, 
##     16, 16, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 
##     20, 20, 21, 21, 21, 21, 22, 21, 21, 20, 21, 20, 19, 20, 20, 
##     19, 18, 19, 18, 18, 18, 18, 18, 17, 17, 17, 17, 18, 18, 17, 
##     16, 16, 16, 17, 16, 15, 15, 17, 16, 16, 16, 16, 16, 16, 16, 
##     15, 16, 15, 15, 16, 16, 16, 15, 15, 15, 16, 16, 16, 16, 17, 
##     17, 18, 18, 18, 17, 17, 17, 18, 18, 19, 19, 19, 18, 19, 19, 
##     19, 20, 20, 20, 21, 20, 20, 20, 21, 20, 20, 21, 20, 20, 20, 
##     20, 19, 19, 19, 19, 18, 18, 18, 18, 18, 17, 17, 17, 17, 16, 
##     18, 17, 16, 18, 17, 16, 17, 16, 16, 17, 16, 16, 16, 16, 16, 
##     15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 
##     16, 16, 16, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 
##     17, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 21, 21, 21, 21, 
##     21, 21, 21, 21, 21, 21, 20, 17, 15, 15, 16, 16, 16, 16, 16, 
##     15, 15, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 
##     18, 18, 18, 19, 19, 19, 19, 20, 20, 19, 20, 20, 20, 20, 20, 
##     20, 20, 21, 21, 21, 21, 21, 20, 21, 20, 20, 20, 20, 20, 19, 
##     19, 19, 18, 19, 18, 18, 18, 18, 18, 17, 18, 17, 17, 17, 17, 
##     16, 17, 17, 17, 17, 17, 16, 16, 17, 16, 17, 15, 16, 17, 17, 
##     16, 17, 17, 16, 16, 16, 21, 21, 21, 21, 21, 21, 20, 20, 20, 
##     20, 19, 19, 20, 20, 19, 19, 19, 19, 18, 18, 18, 19, 18, 19, 
##     18, 17, 17, 17, 17, 17, 18, 17, 17, 16, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 2, 2, 3, 4, 4, 5, 
##     5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 2, 2, 
##     1, 2, 1, 3, 1, 2, 3, 3, 3, 3, 4, 4, 3, 3, 2, 3, 2, 3, 3, 
##     3, 3, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 1, 
##     1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 5, 5, 6, 7, 7, 7, 7, 8, 9, 
##     6, 5, 6, 5, 3, 3, 4, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 
##     1, 3, 1, 2, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 
##     1, 2, 4, 3, 5, 7, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 1, 1, 1, 
##     2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 
##     1, 2, 2, 3, 5, 6, 6, 6, 6, 7, 8, 8, 6, 6, 6, 5, 5, 5, 5, 
##     4, 4, 4, 4, 3, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 4, 
##     3, 1, 3, 2, 2, 2, 2, 1, 1, 1, 3, 3, 3, 4, 4, 4, 5, 5, 6, 
##     7, 7, 7, 6, 5, 4, 4, 5, 3, 5, 3, 2, 3, 2, 1, 5, 5, 6, 5, 
##     4, 5, 5, 6, 5, 4, 3, 4, 2, 3, 3, 3, 1, 3, 2, 3, 1, 2, 2, 
##     2, 2, 2, 2, 4, 4, 3, 3, 3, 3, 3, 2, 3, 3, 4, 4, 3, 3, 2, 
##     2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 
##     4, 4, 4, 6, 6, 5, 6, 6, 7, 6, 4, 4, 4, 3, 4, 2, 2, 4, 1, 
##     2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 2, 2, 
##     3, 3, 2, 3, 2, 3, 3, 4, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 
##     3, 3, 4, 4, 3, 4, 5, 6, 6, 7, 8, 8, 8, 7, 6, 6, 5, 3, 4, 
##     3, 3, 3, 3, 3, 4, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 3, 
##     3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 3, 3, 3, 4, 4, 
##     4, 5, 5, 4, 4, 4, 4, 5, 4, 5, 4, 2, 4, 4, 4, 4, 6, 6, 6, 
##     7, 8, 9, 10, 11, 12, 13, 13, 17, 17, 17, 18, 20, 20, 21, 
##     20, 20, 20, 16, 16, 16, 16, 10, 9, 4, 4, 3, 2, 3, 3, 3, 4, 
##     5, 3, 3, 5, 6, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 4, 3, 2, 2, 
##     3, 4, 3, 5, 7, 8, 9, 10, 31, 31, 30, 31, 31, 30, 31, 31, 
##     30, 31, 31, 30, 31, 31, 30, 31, 30, 30, 31, 31, 31, 30, 30, 
##     31, 31, 31, 30, 30, 30, 31, 31, 31, 30, 31, 31, 31, 31, 30, 
##     31, 31, 30, 30, 31, 30, 30, 30, 31, 31, 31, 31, 31, 30, 30, 
##     30, 30, 30, 30, 31, 30, 30, 30, 30, 31, 31, 31, 30, 30, 30, 
##     30, 30, 30, 31, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 
##     30, 30, 31, 30, 30, 30, 31, 30, 31, 30, 31, 31, 30, 31, 31, 
##     30, 30, 30, 30, 31, 31, 31, 31, 30, 31, 31, 30, 31, 30, 30, 
##     30, 31, 31, 30, 30, 30, 30, 31, 31, 30, 31, 30, 30, 31, 30, 
##     30, 30, 31, 30, 31, 30, 31, 30, 30, 31, 31, 30, 30, 31, 30, 
##     30, 30, 31, 30, 30, 31, 30, 30, 31, 30, 30, 31, 30, 30, 30, 
##     31, 31, 30, 31, 30, 30, 30, 31, 30, 30, 30, 30, 30, 31, 30, 
##     30, 31, 30, 30, 30, 30, 30, 30, 30, 31, 30, 30, 30, 30, 30, 
##     31, 30, 30, 30, 30, 30, 30, 30, 30, 31, 30, 30, 31, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 29, 31, 30, 30, 31, 30, 29, 28, 29, 31, 31, 30, 30, 
##     30, 30, 32, 32, 30, 31, 31, 31, 31, 31, 31, 31, 31, 30, 30, 
##     31, 31, 31, 31, 31, 31, 30, 30, 31, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 29, 30, 30, 30, 30, 31, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 29, 30, 29, 30, 29, 29, 29, 30, 30, 29, 
##     29, 30, 30, 30, 29, 29, 30, 29, 30, 29, 30, 29, 30, 29, 29, 
##     29, 29, 30, 30, 30, 29, 29, 30, 30, 29, 30, 29, 29, 30, 29, 
##     29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 30, 30, 29, 
##     30, 30, 29, 30, 30, 30, 29, 30, 30, 30, 30, 30, 29, 29, 29, 
##     29, 6, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 
##     4, 3, 3, 3, 4, 4, 4, 3, 3, 4, 5, 3, 3, 1, 2, 3, 4, 4, 4, 
##     4, 4, 4, 1, 4, 3, 2, 3, 3, 1, 2, 3, 1, 2, 2, 2, 3, 2, 2, 
##     3, 3, 2, 3, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 
##     2, 2, 3, 3, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 
##     4, 4, 3, 3, 4, 2, 4, 3, 2, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 
##     4, 6, 5, 1, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 3, 
##     3, 3, 4, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 
##     3, 4, 5, 4, 3, 2, 2, 3, 2, 4, 4, 2, 2, 3, 3, 4, 4, 3, 3, 
##     2, 2, 4, 4, 4, 4, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 3, 3, 2, 
##     2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 3, 3, 3, 3, 
##     3, 3, 2, 2, 2, 2, 5, 5, 4, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 
##     3, 3, 3, 2, 4, 3, 2, 3, 2, 2, 4, 3, 2, 1, 3, 3, 2, 2, 3, 
##     4, 3, 4, 1, 3, 3, 3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 3, 
##     2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 
##     4, 2, 3, 3, 1, 2, 4, 2, 1, 0, 3, 2, 1, 4, 4, 5, 5, 3, 2, 
##     1, 3, 3, 2, 2, 1, 1, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 
##     2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 
##     3, 2, 1, 3, 4, 1, 2, 2, 3, 1, 2, 2, 1, 2, 1, 3, 2, 1, 3, 
##     2, 2, 2, 3, 3, 1, 4, 1, 2, 2, 3, 4, 4, 4, 3, 2, 1, 1, 1, 
##     2, 2, 1, 2, 1, 2, 1, 3, 3, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 
##     2, 1, 2, 0, 4, 2, 1, 1, 1, 1, 3, 1, 2, 2, 3, 3, 1, 1, 1, 
##     1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 4, 
##     4, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 
##     1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 3, 3, 2, 2, 
##     3, 3, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 2, 2, 
##     2, 2, 3, 3, 2, 1, 4, 3, 1, 1, 1, 2, 3, 2, 2, 2, 1, 2, 1, 
##     2, 2, 2, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 3, 3, 3, 
##     2, 2, 2, 2, 1, 5, 4, 1, 2, 4, 4, 2, 2, 3, 3, 2, 2, 3, 2, 
##     1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 
##     1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 30, 29, 29, 30, 30, 30, 
##     29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 
##     30, 30, 30, 29, 30, 30, 29, 30, 29, 30, 30, 30, 30, 29, 29, 
##     30, 30, 30, 30, 30, 30, 30, 29, 29, 30, 30, 30, 30, 30, 30, 
##     30, 29, 30, 30, 30, 30, 30, 30, 29, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 30, 29, 30, 30, 30, 
##     30, 29, 30, 30, 29, 30, 30, 30, 30, 30, 29, 29, 29, 30, 29, 
##     30, 30, 29, 30, 30, 30, 30, 29, 30, 29, 30, 30, 29, 29, 29, 
##     30, 30, 30, 29, 30, 30, 30, 29, 29, 29, 30, 30, 29, 29, 30, 
##     30, 30, 30, 29, 29, 30, 30, 30, 29, 29, 29, 30, 30, 30, 29, 
##     30, 30, 29, 29, 30, 29, 29, 29, 30, 30, 30, 30, 30, 29, 29, 
##     30, 30, 29, 29, 30, 29, 29, 30, 30, 30, 30, 30, 29, 29, 29, 
##     30, 30, 29, 30, 30, 30, 29, 29, 29, 30, 30, 29, 29, 29, 29, 
##     29, 30, 30, 30, 30, 29, 29, 29, 29, 30, 30, 30, 30, 30, 29, 
##     30, 30, 30, 30, 29, 29, 29, 30, 29, 29, 30, 30, 29, 29, 29, 
##     30, 30, 29, 30, 30, 30, 30, 30, 29, 29, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 30, 29, 28, 29, 
##     30, 29, 29, 31, 31, 30, 29, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 30, 30, 29, 29, 29, 30, 29, 29, 29, 30, 29, 29, 30, 30, 
##     30, 30, 30, 29, 29, 29, 29, 30, 29, 29, 29, 29, 30, 29, 29, 
##     29, 30, 30, 29, 29, 30, 30, 29, 29, 29, 29, 29, 29, 29, 30, 
##     30, 29, 29, 29, 28, 31, 30, 32, 31, 30, 31, 31, 31, 31, 30, 
##     30, 30, 30, 31, 33, 32, 32, 33, 33, 32, 32, 35, 35, 34, 33, 
##     33, 33, 33, 33, 33, 31, 32, 30, 32, 33, 32, 32, 31, 31, 31, 
##     31, 29, 30, 31, 30, 29, 30, 32, 28, 29, 30, 31, 31, 29, 30, 
##     29, 30, 29, 29, 30, 31, 31, 31, 31, 31, 31, 31, 32, 33, 32, 
##     32, 32, 32, 33, 33, 33, 32, 33, 33, 33, 34, 34, 33, 33, 32, 
##     33, 31, 32, 32, 29, 32, 31, 32, 29, 30, 33, 32, 29, 28, 29, 
##     29, 31, 30, 31, 29, 30, 31, 31, 31, 31, 32, 32, 31, 31, 31, 
##     32, 32, 33, 34, 34, 34, 34, 34, 34, 33, 33, 33, 32, 33, 32, 
##     33, 32, 32, 31, 31, 31, 33, 31, 30, 32, 31, 31, 30, 30, 28, 
##     30, 29, 29, 29, 30, 30, 31, 30, 30, 31, 31, 32, 31, 31, 31, 
##     32, 32, 32, 32, 33, 33, 34, 34, 34, 34, 33, 34, 34, 33, 33, 
##     33, 34, 34, 33, 34, 32, 32, 33, 32, 31, 33, 34, 31, 32, 31, 
##     30, 30, 30, 29, 30, 29, 30, 30, 28, 30, 30, 31, 31, 31, 31, 
##     31, 31, 31, 31, 32, 32, 34, 32, 33, 34, 33, 33, 33, 34, 33, 
##     34, 32, 32, 33, 32, 32, 32, 34, 31, 28, 29, 31, 30, 29, 29, 
##     31, 30, 31, 31, 30, 30, 30, 29, 30, 31, 30, 30, 29, 29, 31, 
##     31, 31, 31, 31, 32, 30, 31, 31, 31, 33, 33, 33, 33, 33, 32, 
##     32, 33, 33, 34, 32, 34, 34, 31, 32, 32, 33, 32, 30, 31, 31, 
##     31, 31, 32, 32, 32, 30, 29, 29, 31, 30, 29, 31, 32, 30, 29, 
##     28, 29, 29, 30, 30, 29, 30, 30, 30, 30, 29, 30, 30, 30, 31, 
##     30, 32, 32, 32, 32, 33, 32, 32, 33, 32, 32, 32, 31, 31, 30, 
##     31, 30, 31, 28, 30, 30, 29, 29, 29, 29, 29, 30, 28, 29, 30, 
##     29, 29, 29, 29, 29, 30, 29, 30, 29, 29, 29, 30, 30, 31, 30, 
##     31, 30, 30, 30, 31, 31, 32, 32, 32, 32, 33, 32, 32, 32, 32, 
##     33, 33, 32, 32, 32, 32, 32, 31, 31, 30, 32, 31, 30, 33, 33, 
##     29, 29, 31, 31, 30, 30, 30, 31, 30, 31, 29, 29, 29, 30, 29, 
##     30, 30, 30, 31, 31, 31, 31, 32, 31, 31, 31, 32, 33, 33, 33, 
##     35, 32, 32, 34, 33, 33, 34, 32, 31, 33, 31, 30, 31, 31, 32, 
##     28, 32, 29, 30, 29, 29, 29, 29, 29, 29, 31, 31, 31, 32, 32, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 38, 38, 38, 38, 38, 
##     39, 38, 39, 39, 39, 39, 39, 39, 39, 38, 38, 38, 39, 38, 39, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 
##     38, 38, 38, 38, 38, 38, 38, 38, 38, 17, 17, 17, 18, 18, 18, 
##     19, 19, 19, 19, 20, 20, 21, 20, 21, 16, 16, 16, 16, 16, 15, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 
##     18, 17, 19, 20, 19, 18, 18, 18, 18, 18, 18, 18, 17, 16, 17, 
##     17, 17, 16, 17, 18, 15, 15, 21, 21, 21, 21, 21, 21, 21, 20, 
##     20, 19, 20, 19, 19, 18, 18, 19, 19, 17, 17, 18, 17, 22, 21, 
##     21, 21, 21, 20, 21, 20, 20, 20, 19, 20, 18, 18, 18, 17, 18, 
##     18, 18, 18, 17, 18, 19, 19, 20, 21, 21, 21, 21, 21, 21, 21, 
##     22, 20, 20, 20, 19, 20, 19, 18, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 17, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 18, 17, 
##     17, 17, 17, 18, 18, 18, 18, 18, 18, 17, 17, 18, 17, 17, 16, 
##     17, 16, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 
##     2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 
##     3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 
##     4, 5, 6, 5, 5, 4, 4, 4, 3, 4, 6, 5, 3, 2, 1, 3, 3, 5, 7, 
##     6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 
##     4, 4, 4, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 5, 5, 
##     4, 3, 3, 3, 2, 3, 3, 3, 2, 2, 3, 4, 4, 5, 6, 6, 6, 6, 6, 
##     6, 5, 5, 5, 5, 1, 2, 3, 2, 4, 4, 3, 1, 5, 7, 7, 6, 4, 4, 
##     6, 2, 2, 6, 8, 5, 4, 4, 5, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 
##     3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 
##     4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 5, 4, 4, 4, 5, 
##     4, 5, 5, 5, 4, 4, 4, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 
##     1, 1, 1, 1, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 6, 6, 5, 5, 5, 
##     5, 4, 5, 5, 4, 4, 3, 2, 1, 5, 4, 4, 3, 3, 4, 5, 5, 5, 4, 
##     4, 3, 4, 5, 5, 6, 6, 4, 4, 4, 4, 5, 6, 3, 3, 3, 5, 5, 4, 
##     4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 2, 2, 2, 2, 
##     2, 2, 2, 4, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 4, 2, 
##     2, 3, 3, 4, 4, 4, 3, 4, 5, 4, 3, 4, 4, 6, 8, 4, 5, 4, 5, 
##     5, 6, 6, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 4, 2, 
##     3, 2, 2, 2, 3, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 3, 4, 3, 2, 
##     2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 3, 3, 4, 4, 
##     4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 2, 2, 2, 2, 2, 2, 1, 
##     1, 0, 1, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 5, 5, 4, 4, 
##     3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 
##     3, 4, 3, 3, 3, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 
##     3, 3, 3, 3, 4, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 4, 4, 4, 5, 
##     4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 
##     4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 6, 4, 
##     5, 5, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 3, 3, 3, 3, 3, 
##     3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 
##     1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 
##     6, 6, 6, 5, 4, 5, 6, 6, 6, 5, 5, 5, 2, 1, 1, 1, 2, 2, 2, 
##     1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 5, 3, 2, 3, 3, 
##     3, 3, 3, 4, 4, 4, 16, 16, 17, 17, 16, 18, 17, 16, 17, 16, 
##     15, 16, 16, 16, 17, 16, 16, 16, 16, 15, 15, 16, 15, 16, 16, 
##     15, 16, 16, 16, 17, 16, 17, 17, 17, 18, 17, 18, 17, 18, 18, 
##     19, 19, 18, 18, 18, 19, 20, 19, 20, 21, 21, 22, 21, 21, 21, 
##     21, 21, 21, 21, 21, 21, 21, 19, 19, 19, 18, 19, 18, 18, 18, 
##     18, 18, 18, 18, 17, 18, 18, 18, 17, 18, 17, 17, 17, 16, 17, 
##     17, 16, 16, 17, 17, 16, 16, 18, 15, 15, 18, 18, 16, 17, 17, 
##     16, 16, 17, 16, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 3, 3, 3, 
##     3, 3, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 
##     3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 
##     3, 3, 4, 3, 2, 2, 2, 1, 0, 1, 1, 1, 1, 3, 2, 3, 2, 3, 3, 
##     3, 4, 5, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 4, 3, 4, 3, 4, 
##     5, 3, 5, 5, 5, 4, 3, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 
##     3, 3, 29, 30, 30, 30, 30, 29, 29, 29, 30, 30, 29, 29, 29, 
##     30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 30, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
##     30, 29, 29, 29, 30, 30, 30, 31, 30, 5, 5, 5, 5, 5, 5, 3, 
##     2, 2, 1, 2, 2, 2, 2, 3, 4, 4, 4, 3, 2, 2, 2, 2, 2, 1, 1, 
##     1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 4, 4, 5, 3, 2, 2, 2, 2, 3, 
##     2, 2, 2, 3, 4, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 
##     1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 
##     3, 3, 2, 1, 1, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 2, 1, 3, 
##     2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 39, 
##     39, 39, 39, 39, 39, 39, 58, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 38, 38, 38, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 9, 9, 9, 9, 9, 
##     9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 8, 8, 8, 8, 
##     7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 10, 9, 9, 9, 
##     10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 
##     9, 9, 8, 8, 9, 9, 9, 10, 9, 10, 9, 10, 9, 9, 9, 10, 10, 9, 
##     10, 9, 8, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 
##     9, 10, 9, 10, 10, 10, 8, 10, 9, 11, 9, 10, 4, 4, 1, 1, 2, 
##     2, 2, 2, 1, 2, 2, 3, 3, 5, 3, 1, 2, 2, 3, 4, 2, 1, 2, 3, 
##     2, 1, 1, 2, 1, 1, 1, 1, 2, 9, 8, 9, 9, 9, 9, 9, 9, 8, 9, 
##     9, 9, 9, 9, 9, 9, 8, 7, 7, 6, 7, 6, 6, 6, 4, 5, 5, 6, 7, 
##     7, 7, 8, 8, 8, 9, 8, 8, 9, 10, 8, 8, 8, 9, 8, 9, 8, 9, 9, 
##     9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 10, 10, 10, 9, 9, 9, 9, 
##     10, 9, 9, 9, 10, 9, 10, 10, 10, 9, 9, 9, 9, 9, 10, 9, 9, 
##     10, 9, 10, 10, 11, 11, 8, 8, 10, 9, 9, 9, 10, 11, 13, 12, 
##     13, 11, 11, 8, 7, 11, 12, 8, 7, 9, 10, 9, 8, 8, 8, 8, 9, 
##     8, 8, 8, 9, 9, 9, 10, 10, 9, 9, 8, 9, 9, 9, 8, 10, 11, 11, 
##     11, 11, 11, 11, 9, 10, 9, 9, 8, 10, 10, 10, 9, 8, 10, 11, 
##     11, 11, 10, 10, 11, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 9, 
##     10, 10, 8, 8, 9, 9, 9, 8, 9, 9, 9, 8, 10, 11, 11, 12, 11, 
##     11, 13, 12, 12, 12, 14, 14, 13, 13, 13, 13, 12, 13, 14, 13, 
##     14, 9, 9, 9, 11, 14, 14, 15, 15, 16, 15, 11, 13, 13, 11, 
##     8, 12, 9, 8, 11, 10, 9, 10, 7, 8, 10, 10, 9, 9, 9, 9, 10, 
##     9, 8, 9, 10, 11, 12, 12, 12, 12, 11, 13, 13, 12, 14, 14, 
##     15, 14, 15, 15, 13, 14, 9, 10, 8, 8, 9, 9, 8, 8, 9, 7, 8, 
##     9, 10, 11, 11, 11, 12, 13, 12, 12, 13, 12, 11, 12, 13, 14, 
##     15, 15, 9, 11, 14, 15, 16, 15, 14, 11, 9, 7, 8, 5, 10, 10, 
##     9, 9, 8, 10, 8, 7, 11, 12, 10, 9, 8, 8, 8, 8, 8, 8, 8, 8, 
##     7, 8, 8, 8, 8, 9, 10, 10, 11, 11, 12, 13, 13, 12, 13, 12, 
##     13, 14, 14, 13, 12, 12, 12, 12, 13, 13, 13, 13, 14, 12, 12, 
##     15, 9, 7, 9, 10, 11, 8, 9, 9, 9, 9, 10, 14, 15, 15, 16, 12, 
##     13, 11, 13, 11, 13, 12, 11, 13, 7, 12, 9, 12, 8, 9, 9, 11, 
##     10, 10, 10, 10, 8, 8, 7, 8, 8, 8, 8, 9, 9, 10, 9, 10, 12, 
##     12, 15, 15, 13, 14, 13, 13, 13, 14, 15, 13, 14, 14, 11, 12, 
##     16, 15, 17, 17, 18, 17, 17, 15, 14, 11, 10, 13, 11, 10, 10, 
##     11, 8, 10, 11, 11, 11, 8, 9, 8, 9, 8, 8, 9, 9, 8, 8, 8, 8, 
##     2, 10, 12, 14, 14, 14, 15, 18, 19, 20, 21, 22, 22, 22, 22, 
##     22, 25, 10, 11, 12, 13, 14, 15, 16, 18, 19, 22, 22, 22, 23, 
##     23, 23, 23, 23, 24, 23, 23, 23, 22, 23, 25, 25, 22, 22, 21, 
##     21, 21, 20, 19, 18, 18, 16, 16, 15, 13, 12, 10, 10, 8, 8, 
##     9, 9, 7, 4, 3, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 3, 3, 2, 4, 
##     4, 4, 5, 3, 4, 3, 3, 4, 5, 4, 4, 6, 8, 11, 13, 15, 15, 16, 
##     17, 17, 20, 20, 21, 22, 23, 24, 24, 24, 25, 25, 24, 25, 26, 
##     26, 24, 23, 23, 22, 20, 21, 20, 21, 20, 19, 18, 4, 4, 3, 
##     3, 3, 3, 6, 6, 7, 9, 10, 10, 11, 12, 12, 13, 13, 14, 15, 
##     17, 19, 22, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 25, 25, 
##     24, 23, 25, 24, 22, 21, 22, 20, 20, 18, 17, 17, 15, 15, 15, 
##     14, 13, 10, 9, 8, 9, 8, 8, 7, 7, 6, 4, 3, 3, 3, 3, 4, 4, 
##     5, 3, 5, 5, 4, 3, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 4, 5, 5, 
##     25, 26, 27, 25, 24, 23, 22, 22, 20, 20, 19, 18, 17, 17, 14, 
##     14, 13, 12, 9, 7, 6, 6, 5, 5, 6, 6, 3, 4, 5, 4, 4, 5, 4, 
##     4, 4, 5, 5, 5, 6, 4, 4, 3, 3, 4, 6, 8, 10, 11, 12, 14, 14, 
##     15, 17, 18, 21, 22, 22, 24, 24, 23, 23, 24, 25, 25, 24, 25, 
##     24, 23, 20, 21, 18, 18, 17, 16, 13, 9, 8, 7, 5, 7, 5, 3, 
##     7, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 9, 
##     9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 24, 24, 25, 26, 
##     25, 24, 25, 24, 23, 21, 20, 20, 21, 18, 14, 14, 12, 11, 9, 
##     9, 8, 8, 6, 6, 6, 5, 5, 5, 4, 5, 7, 3, 3, 4, 5, 4, 3, 4, 
##     3, 4, 4, 7, 7, 3, 3, 4, 4, 6, 9, 11, 13, 15, 14, 11, 11, 
##     10, 10, 9, 9, 8, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 5, 
##     3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 3, 4, 5, 5, 6, 7, 8, 11, 
##     11, 12, 18, 19, 19, 20, 20, 22, 24, 24, 26, 26, 25, 25, 24, 
##     24, 25, 24, 23, 22, 22, 22, 19, 18, 19, 14, 13, 12, 11, 11, 
##     9, 8, 6, 7, 7, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 
##     2, 4, 8, 7, 7, 6, 6, 9, 9, 9, 8, 9, 10, 10, 10, 9, 10, 10, 
##     12, 13, 16, 16, 16, 17, 17, 16, 16, 13, 13, 14, 14, 13, 13, 
##     12, 10, 10, 8, 5, 3, 3, 1, 1, 1, 2, 3, 3, 2, 1, 3, 3, 3, 
##     2, 2, 4, 2, 2, 4, 4, 5, 6, 7, 8, 8, 7, 7, 8, 10, 9, 10, 11, 
##     13, 13, 15, 17, 18, 18, 18, 20, 18, 17, 15, 14, 14, 13, 13, 
##     13, 13, 11, 11, 10, 9, 9, 6, 4, 3, 3, 2, 2, 1, 1, 20, 19, 
##     19, 20, 22, 23, 22, 23, 23, 20, 19, 18, 17, 16, 14, 16, 16, 
##     14, 13, 13, 11, 12, 3, 3, 3, 2, 2, 0, 1, 2, 2, 3, 2, 1, 1, 
##     2, 2, 1, 2, 1, 2, 2, 2, 2, 4, 7, 7, 12, 12, 12, 10, 10, 8, 
##     7, 6, 4, 4, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 
##     3, 4, 4, 4, 4, 3, 3, 2, 2, 3, 3, 2, 2, 4, 6, 8, 7, 8, 8, 
##     8, 10, 13, 16, 16, 17, 18, 19, 20, 22, 21, 20, 19, 21, 20, 
##     19, 16, 14, 13, 14, 13, 12, 12, 12, 11, 7, 6, 4, 13, 14, 
##     14, 14, 13, 11, 7, 7, 6, 5, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 
##     2, 2, 3, 4, 6, 5, 16, 11, 12, 13, 13, 12, 13, 13, 11, 9, 
##     11, 10, 9, 8, 7, 9, 3, 2, 1, 2, 2, 3, 2, 3, 4, 3, 4, 5, 4, 
##     4, 5, 6, 7, 7, 6, 7, 7, 6, 4, 3, 2, 3, 4, 4, 5, 6, 8, 7, 
##     8, 7, 1, 3, 5, 5, 7, 7, 6, 8, 10, 11, 11, 11, 11, 9, 8, 6, 
##     4, 3, 2, 5, 5, 4, 6, 6, 6, 10, 12, 15, 16, 16, 17, 17, 18, 
##     17, 17, 16, 15, 15, 16, 14, 11, 10, 10, 11, 5, 2, 1, 3, 3, 
##     5, 5, 4, 7, 7, 7, 6, 6, 5, 19, 19, 17, 16, 15, 15, 15, 15, 
##     15, 15, 13, 14, 13, 13, 15, 12, 12, 13, 11, 10, 10, 9, 9, 
##     10, 8, 8, 8, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 7, 6, 7, 
##     7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 8, 7, 7, 7, 8, 7, 7, 8, 8, 
##     8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 7, 7, 8, 7, 8, 9, 8, 
##     7, 7, 8, 8, 9, 9, 8, 9, 8, 8, 8, 7, 8, 8, 8, 9, 7, 8, 9, 
##     7, 8, 8, 8, 7, 6, 5, 6, 31, 31, 31, 30, 31, 31, 32, 33, 35, 
##     33, 33, 33, 33, 33, 34, 34, 33, 33, 33, 33, 33, 32, 32, 32, 
##     32, 33, 31, 33, 32, 31, 31, 33, 33, 31, 29, 30, 32, 30, 29, 
##     29, 29, 29, 29, 29, 29, 30, 29, 29, 29, 29, 29, 29, 30, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 
##     29, 28, 28, 28, 30, 30, 29, 33, 32, 36, 36, 35, 35, 36, 34, 
##     33, 29, 39, 33, 37, 37, 36, 34, 35, 34, 34, 35, 35, 33, 33, 
##     34, 33, 32, 33, 34, 35, 33, 31, 31, 33, 34, 35, 36, 34, 33, 
##     31, 31, 32, 32, 37, 36, 34, 31, 32, 32, 28, 30, 30, 31, 32, 
##     27, 28, 29, 29, 29, 28, 28, 27, 27, 28, 29, 30, 30, 34, 34, 
##     32, 31, 31, 30, 31, 30, 33, 33, 34, 34, 35, 34, 35, 35, 32, 
##     31, 32, 34, 33, 32, 32, 31, 31, 29, 29, 29, 30, 29, 29, 31, 
##     30, 29, 28, 29, 29, 29, 29, 28, 28, 29, 29, 33, 33, 30, 30, 
##     31, 31, 32, 31, 32, 32, 34, 35, 34, 33, 33, 32, 31, 32, 33, 
##     31, 32, 32, 32, 29, 28, 29, 32, 31, 30, 31, 32, 28, 28, 28, 
##     31, 31, 29, 30, 29, 27, 31, 29, 27, 27, 28, 27, 27, 28, 27, 
##     30, 32, 34, 33, 32, 32, 33, 29, 30, 31, 31, 34, 35, 30, 31, 
##     30, 31, 34, 34, 29, 30, 29, 28, 30, 30, 31, 32, 30, 31, 28, 
##     29, 29, 28, 28, 28, 29, 30, 30, 31, 33, 34, 33, 32, 32, 31, 
##     31, 29, 29, 31, 33, 34, 33, 30, 30, 31, 31, 34, 30, 30, 32, 
##     33, 32, 28, 29, 28, 30, 34, 35, 32, 28, 30, 26, 30, 29, 29, 
##     28, 29, 28, 27, 27, 28, 29, 32, 33, 35, 35, 32, 27, 27, 27, 
##     29, 31, 31, 35, 34, 28, 26, 27, 28, 30, 33, 34, 35, 31, 32, 
##     32, 28, 28, 27, 32, 34, 34, 34, 36, 35, 35, 32, 30, 31, 31, 
##     30, 30, 29, 34, 32, 32, 16, 16, 16, 17, 17, 17, 16, 15, 16, 
##     16, 17, 15, 15, 15, 16, 17, 19, 19, 18, 24, 24, 22, 22, 21, 
##     21, 21, 20, 21, 20, 18, 18, 19, 18, 18, 17, 17, 17, 17, 17, 
##     18, 16, 17, 17, 16, 17, 17, 17, 17, 17, 17, 16, 16, 17, 17, 
##     16, 16, 16, 17, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 
##     23, 22, 21, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
##     24, 22, 22, 22, 22, 21, 22, 21, 22, 19, 19, 19, 19, 19, 18, 
##     19, 19, 18, 17, 18, 17, 17, 18, 17, 17, 17, 17, 17, 16, 16, 
##     17, 17, 16, 17, 17, 17, 16, 16, 16, 16, 16, 18, 18, 18, 18, 
##     18, 18, 20, 19, 21, 21, 21, 23, 23, 22, 22, 25, 24, 25, 26, 
##     18, 19, 19, 19, 19, 18, 18, 18, 19, 19, 19, 18, 18, 17, 16, 
##     19, 17, 17, 17, 17, 17, 16, 17, 17, 17, 17, 17, 24, 25, 25, 
##     26, 26, 25, 25, 25, 24, 23, 22, 22, 22, 22, 21, 20, 22, 20, 
##     19, 19, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 
##     18, 18, 18, 18, 17, 16, 17, 17, 17, 17, 17, 17, 18, 16, 17, 
##     17, 17, 17, 16, 16, 17, 17, 18, 18, 17, 16, 16, 16, 16, 17, 
##     17, 17, 18, 19, 18, 17, 17, 19, 20, 20, 20, 21, 21, 21, 21, 
##     22, 22, 22, 22, 23, 24, 24, 24, 24, 24, 25, 25, 25, 24, 24, 
##     24, 17, 16, 16, 16, 17, 16, 16, 17, 16, 17, 16, 17, 17, 16, 
##     16, 16, 16, 16, 16, 16, 17, 18, 18, 17, 17, 18, 19, 19, 20, 
##     22, 21, 23, 23, 23, 24, 24, 24, 18, 17, 18, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 16, 15, 15, 16, 17, 17, 16, 16, 16, 
##     16, 16, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 16, 
##     18, 18, 18, 19, 19, 18, 19, 18, 20, 20, 22, 21, 21, 22, 22, 
##     23, 23, 24, 23, 24, 23, 24, 23, 23, 23, 23, 23, 23, 22, 22, 
##     22, 22, 20, 19, 19, 19, 19, 18, 19, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 17, 17, 18, 19, 18, 18, 16, 18, 18, 18, 17, 17, 
##     16, 17, 17, 17, 17, 17, 18, 18, 17, 17, 17, 19, 18, 17, 17, 
##     17, 17, 17, 16, 17, 18, 18, 18, 18, 18, 16, 17, 18, 19, 19, 
##     19, 19, 18, 19, 21, 22, 22, 22, 22, 24, 23, 23, 23, 23, 24, 
##     24, 24, 24, 24, 24, 25, 24, 24, 24, 24, 23, 23, 22, 22, 22, 
##     22, 22, 21, 20, 21, 21, 19, 19, 19, 19, 18, 18, 18, 18, 18, 
##     18, 19, 18, 19, 18, 18, 17, 17, 18, 17, 17, 17, 17, 18, 17, 
##     17, 17, 17, 17, 17, 17, 16, 16, 17, 17, 18, 17, 16, 16, 17, 
##     18, 18, 18, 17, 17, 18, 19, 19, 24, 24, 24, 24, 24, 24, 23, 
##     23, 23, 21, 21, 21, 21, 21, 21, 20, 20, 18, 18, 18, 17, 17, 
##     17, 17, 18, 24, 24, 23, 23, 21, 20, 20, 20, 21, 20, 16, 17, 
##     18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 16, 16, 17, 18, 
##     18, 19, 20, 20, 20, 19, 19, 19, 19, 19, 20, 22, 22, 23, 23, 
##     21, 22, 23, 23, 23, 22, 23, 24, 26, 25, 25, 26, 25, 25, 24, 
##     23, 22, 22, 21, 21, 21, 22, 23, 19, 19, 18, 20, 21, 21, 20, 
##     21, 23, 24, 25, 25, 24, 25, 25, 26, 26, 26, 26, 26, 26, 26, 
##     26, 26, 25, 24, 20, 19, 19, 20, 20, 19, 19, 18, 19, 19, 19, 
##     19, 19, 19, 18, 18, 17, 17, 17, 15, 15, 16, 17, 17, 17, 17, 
##     17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 
##     20, 20, 20, 20, 21, 21, 21, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 
##     3, 4, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 4, 3, 3, 3, 3, 3, 3, 
##     3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     4, 3, 4, 3, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 5, 6, 6, 
##     5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 8, 9, 10, 10, 12, 
##     12, 13, 13, 14, 16, 16, 17, 18, 20, 20, 21, 22, 21, 21, 19, 
##     18, 17, 16, 16, 14, 15, 14, 12, 11, 11, 11, 11, 11, 11, 10, 
##     8, 8, 7, 5, 6, 7, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 7, 7, 7, 
##     7, 7, 7, 7, 7, 7, 8, 8, 6, 6, 6, 6, 8, 9, 9, 9, 8, 8, 12, 
##     12, 13, 13, 14, 13, 14, 14, 14, 15, 15, 16, 17, 17, 18, 19, 
##     19, 19, 20, 20, 9, 9, 9, 10, 9, 11, 8, 6, 8, 9, 9, 9, 9, 
##     9, 9, 8, 7, 7, 8, 9, 8, 8, 8, 9, 8, 16, 17, 18, 18, 18, 17, 
##     17, 18, 18, 16, 14, 18, 17, 16, 14, 13, 13, 13, 13, 13, 11, 
##     11, 11, 11, 11, 11, 10, 10, 9, 9, 9, 9, 10, 9, 7, 8, 9, 9, 
##     7, 7, 8, 9, 8, 8, 9, 8, 9, 9, 8, 8, 9, 10, 10, 11, 11, 10, 
##     11, 12, 13, 12, 11, 11, 11, 12, 14, 14, 15, 15, 15, 15, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 15, 15, 14, 14, 14, 
##     14, 14, 14, 14, 13, 11, 11, 11, 11, 10, 11, 10, 10, 9, 9, 
##     9, 7, 6, 6, 6, 6, 8, 9, 10, 9, 8, 7, 8, 8, 8, 8, 8, 8, 9, 
##     9, 9, 8, 8, 9, 8, 9, 9, 10, 9, 9, 9, 9, 10, 10, 10, 10, 10, 
##     10, 10, 11, 11, 11, 11, 11, 12, 13, 13, 13, 13, 13, 13, 14, 
##     13, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 15, 14, 13, 13, 
##     13, 13, 13, 12, 13, 14, 13, 12, 11, 11, 10, 10, 9, 10, 9, 
##     8, 9, 9, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 9, 9, 10, 10, 
##     10, 10, 10, 12, 12, 13, 14, 14, 16, 15, 15, 15, 15, 15, 15, 
##     15, 15, 15, 16, 16, 16, 15, 14, 13, 12, 11, 11, 10, 11, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 4, 4, 
##     3, 5, 8, 6, 4, 8, 10, 10, 8, 8, 6, 6, 7, 10, 7, 7, 7, 7, 
##     7, 7, 7, 7, 6, 6, 6, 6, 7, 6, 2, 3, 3, 2, 2, 2, 2, 2, 3, 
##     3, 3, 3, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 7, 
##     6, 5, 7, 6, 7, 7, 5, 4, 5, 3, 3, 3, 3, 3, 1, 2, 2, 1, 1, 
##     2, 1, 2, 4, 4, 3, 3, 1, 2, 4, 6, 7, 8, 8, 7, 7, 6, 6, 8, 
##     7, 2, 6, 7, 6, 4, 5, 5, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 
##     1, 2, 2, 3, 3, 4, 5, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 
##     10, 10, 8, 7, 6, 6, 5, 4, 5, 5, 3, 3, 2, 2, 2, 3, 2, 2, 1, 
##     2, 2, 2, 2, 2, 3, 3, 4, 18, 17, 15, 16, 16, 21, 21, 21, 22, 
##     21, 22, 22, 21, 21, 21, 21, 21, 20, 20, 21, 20, 20, 20, 20, 
##     20, 20, 18, 17, 17, 17, 17, 17, 16, 17, 17, 16, 17, 18, 17, 
##     16, 17, 17, 17, 17, 17, 17, 17, 16, 17, 17, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 17, 16, 16, 16, 
##     16, 10, 10, 10, 10, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     3, 2, 2, 3, 8, 10, 10, 6, 6, 6, 8, 8, 7, 7, 8, 7, 8, 7, 7, 
##     7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 10, 10, 9, 10, 10, 
##     11, 11, 12, 14, 14, 14, 15, 15, 15, 15, 15, 20, 20, 20, 19, 
##     18, 19, 19, 19, 20, 19, 18, 19, 17, 17, 15, 14, 15, 15, 14, 
##     13, 13, 13, 13, 2, 2, 2, 2, 2, 2, 1, 3, 4, 3, 4, 4, 4, 4, 
##     4, 3, 3, 3, 4, 3, 31, 30, 32, 31, 29, 29, 29, 27, 28, 28, 
##     26, 27, 27, 28, 28, 29, 29, 29, 31, 32, 31, 31, 31, 31, 31, 
##     33, 31, 29, 29, 29, 30, 30, 30, 30, 30, 30, 28, 28, 28, 30, 
##     30, 32, 35, 33, 28, 29, 28, 29, 29, 28, 28, 29, 29, 29, 25, 
##     26, 29, 29, 33, 34, 33, 34, 32, 31, 30, 29, 29, 31, 33, 33, 
##     32, 33, 31, 32, 32, 31, 31, 31, 32, 29, 29, 33, 32, 31, 31, 
##     31, 26, 26, 29, 30, 29, 30, 30, 26, 27, 29, 29, 30, 31, 32, 
##     30, 30, 29, 32, 33, 27, 27, 28, 29, 29, 29, 30, 29, 30, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 30, 29, 29, 29, 29, 29, 6, 
##     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 16, 17, 20, 21, 21, 25, 26, 25, 24, 26, 
##     25, 24, 24, 25, 25, 26, 25, 24, 24, 22, 22, 22, 21, 20, 19, 
##     17, 16, 15, 8, 8, 13, 14, 14, 15, 16, 18, 19, 19, 21, 22, 
##     24, 24, 25, 25, 25, 25, 26, 27, 27, 16, 15, 14, 11, 10, 10, 
##     7, 8, 6, 6, 5, 4, 3, 3, 3, 3, 5, 4, 2, 2, 4, 5, 3, 4, 4, 
##     4, 3, 3, 3, 4, 2, 3, 3, 3, 2, 3, 3, 3, 4, 5, 5, 3, 4, 5, 
##     4, 7, 9, 23, 22, 21, 21, 20, 19, 17, 17, 16, 14, 14, 14, 
##     12, 10, 10, 9, 8, 5, 4, 3, 3, 9, 10, 10, 11, 11, 12, 13, 
##     13, 12, 14, 15, 14, 13, 12, 14, 14, 13, 12, 13, 14, 12, 10, 
##     11, 10, 11, 12, 12, 15, 15, 13, 14, 14, 15, 15, 16, 17, 15, 
##     14, 11, 12, 9, 11, 7, 7, 8, 9, 8, 9, 9, 9, 10, 10, 9, 9, 
##     10, 10, 10, 11, 10, 10, 10, 10, 11, 9, 4, 3, 5, 5, 5, 5, 
##     4, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 5, 5, 5, 4, 3, 
##     3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 7, 6, 6, 
##     5, 5, 9, 8, 5, 4, 4, 2, 2, 4, 5, 5, 7, 5, 6, 7, 8, 10, 11, 
##     13, 15, 16, 17, 10, 11, 12, 13, 15, 16, 18, 19, 18, 18, 17, 
##     18, 19, 19, 19, 18, 17, 13, 13, 10, 9, 5, 4, 2, 2, 2, 1, 
##     1, 4, 5, 6, 6, 8, 9, 6, 7, 9, 10, 11, 11, 12, 13, 14, 15, 
##     15, 16, 17, 7, 7, 9, 9, 9, 11, 13, 14, 15, 15, 17, 16, 16, 
##     17, 17, 18, 18, 17, 16, 15, 15, 15, 12, 3, 2, 1, 2, 1, 1, 
##     2, 3, 3, 1, 1, 1, 2, 4, 3, 1, 2, 2, 3, 2, 3, 5, 6, 7, 6, 
##     8, 8, 7, 7, 7, 8, 9, 8, 10, 14, 15, 17, 18, 19, 19, 19, 19, 
##     18, 17, 17, 17, 18, 18, 18, 16, 14, 11, 12, 5, 5, 5, 4, 2, 
##     2, 1, 2, 3, 2, 1, 1, 3, 5, 10, 10, 10, 11, 9, 11, 12, 13, 
##     14, 17, 19, 8, 9, 8, 10, 10, 9, 9, 11, 10, 9, 12, 12, 14, 
##     16, 16, 17, 16, 17, 16, 17, 17, 18, 18, 16, 16, 13, 16, 16, 
##     16, 18, 18, 18, 20, 19, 18, 18, 14, 13, 12, 12, 9, 7, 9, 
##     11, 11, 11, 11, 8, 9, 9, 9, 8, 8, 8, 7, 7, 8, 8, 10, 8, 12, 
##     13, 14, 14, 16, 14, 14, 15, 15, 15, 16, 15, 12, 11, 14, 14, 
##     15, 15, 18, 17, 17, 17, 16, 16, 19, 16, 18, 14, 13, 15, 16, 
##     15, 14, 13, 12, 15, 14, 15, 13, 12, 9, 8, 10, 11, 12, 11, 
##     11, 11, 10, 10, 10, 9, 10, 10, 9, 10, 10, 10, 9, 10, 10, 
##     9, 10, 10, 10, 10, 9, 9, 10, 9, 9, 9, 9, 10, 10, 10, 10, 
##     9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 8, 8, 8, 8, 8, 9, 10, 8, 9, 
##     8, 7, 9, 9, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 
##     9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 10, 9, 9, 8, 8, 8, 10, 10, 
##     9, 10, 11, 9, 9, 10, 11, 10, 9, 10, 11, 11, 10, 11, 9, 11, 
##     10, 11, 11, 10, 10, 10, 10, 11, 10, 10, 9, 10, 10, 10, 9, 
##     9, 9, 10, 9, 9, 8, 9, 8, 8, 9, 9, 8, 7, 7, 7, 8, 8, 7, 7, 
##     8, 7, 8, 8, 9, 10, 9, 9, 9, 9, 10, 10, 10, 11, 9, 9, 10, 
##     10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 
##     10, 10, 10, 11, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 
##     10, 10, 9, 9, 10, 10, 9, 10, 10, 10, 8, 10, 10, 11, 11, 10, 
##     10, 11, 9, 10, 11, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 
##     10, 9, 10, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 8, 9, 7, 9, 10, 
##     9, 10, 9, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 
##     9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 9, 10, 
##     11, 10, 10, 9, 10, 10, 9, 9, 9, 10, 9, 6, 5, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 7, 7, 
##     3, 4, 4, 4, 4, 4, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
##     6, 6, 6, 5, 3, 4, 6, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 6, 6, 
##     6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 2, 3, 1, 1, 
##     2, 2, 1, 1, 1, 1, 3, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 
##     2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 4, 5, 5, 4, 
##     5, 4, 4, 4, 3, 3, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 3, 3, 
##     3, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 
##     2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 2, 1, 1, 1, 1, 
##     1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 2, 
##     2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 
##     4, 3, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 
##     5, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 
##     5, 5, 4, 6, 3, 6, 5, 4, 4, 4, 3, 2, 2, 3, 3, 3, 2, 3, 3, 
##     3, 1, 2, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 
##     4, 4, 5, 5, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 3, 2, 3, 4, 
##     2, 3, 6, 2, 4, 2, 2, 2, 4, 3, 3, 3, 3, 3, 3, 4, 2, 3, 5, 
##     7, 4, 2, 1, 3, 3, 1, 2, 3, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 
##     3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 4, 5, 5, 4, 4, 4, 4, 
##     4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 5, 4, 3, 5, 5, 3, 3, 2, 3, 
##     3, 1, 3, 2, 2, 2, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 4, 2, 3, 1, 3, 3, 2, 2, 3, 
##     4, 5, 2, 3, 4, 4, 4, 3, 4, 2, 2, 2, 4, 4, 5, 5, 4, 3, 4, 
##     4, 5, 5, 4, 4, 5, 3, 3, 2, 2, 3, 3, 3, 4, 7, 8, 6, 5, 2, 
##     2, 4, 4, 3, 3, 2, 5, 6, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 
##     4, 4, 4, 4, 4, 3, 3, 4, 2, 4, 4, 4, 3, 4, 3, 2, 4, 6, 3, 
##     1, 2, 3, 4, 2, 6, 7, 5, 3, 3, 3, 4, 5, 3, 3, 4, 3, 4, 3, 
##     2, 2, 3, 3, 4, 5, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 
##     4, 2, 3, 3, 2, 4, 5, 3, 3, 4, 3, 4, 4, 4, 3, 3, 3, 2, 3, 
##     5, 1, 3, 3, 2, 3, 4, 3, 4, 2, 2, 4, 4, 2, 3, 3, 4, 4, 5, 
##     4, 4, 2, 2, 2, 2, 3, 2, 3, 4, 3, 4, 2, 3, 3, 2, 2, 4, 3, 
##     3, 2, 1, 1, 2, 1, 3, 1, 1, 3, 1, 3, 2, 2, 3, 3, 3, 2, 1, 
##     5, 3, 2, 5, 4, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     3, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 4, 30, 30, 30, 
##     30, 33, 35, 34, 33, 31, 31, 29, 29, 33, 32, 30, 29, 30, 29, 
##     29, 30, 30, 28, 28, 28, 29, 30, 30, 29, 29, 29, 29, 28, 27, 
##     27, 28, 29, 31, 29, 30, 29, 28, 28, 29, 29, 29, 28, 28, 28, 
##     29, 28, 29, 29, 29, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 28, 28, 
##     28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 28, 28, 
##     29, 28, 29, 30, 30, 29, 29, 29, 30, 29, 29, 30, 30, 29, 30, 
##     30, 30, 31, 31, 29, 29, 29, 29, 30, 30, 30, 28, 30, 29, 30, 
##     29, 30, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 29, 29, 
##     29, 29, 29, 29, 30, 28, 28, 28, 30, 30, 28, 28, 29, 29, 29, 
##     29, 29, 29, 28, 29, 30, 28, 29, 30, 29, 29, 28, 29, 29, 28, 
##     30, 30, 29, 29, 30, 29, 29, 29, 29, 27, 30, 30, 31, 29, 29, 
##     29, 30, 29, 29, 28, 29, 30, 29, 29, 32, 29, 29, 28, 29, 29, 
##     28, 29, 29, 27, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 30, 29, 29, 29, 29, 29, 29, 28, 28, 29, 31, 27, 28, 
##     29, 28, 28, 31, 28, 29, 29, 30, 30, 29, 29, 28, 28, 28, 29, 
##     28, 28, 29, 29, 29, 29, 29, 29, 29, 30, 29, 29, 30, 29, 30, 
##     28, 28, 30, 29, 29, 28, 29, 28, 29, 28, 30, 27, 29, 28, 28, 
##     28, 28, 28, 27, 28, 29, 29, 29, 29, 29, 28, 28, 29, 29, 29, 
##     29, 29, 30, 29, 29, 28, 29, 29, 28, 31, 29, 28, 29, 30, 30, 
##     28, 28, 28, 28, 28, 29, 29, 30, 29, 28, 28, 28, 29, 29, 27, 
##     28, 29, 29, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 28, 29, 
##     29, 30, 30, 28, 28, 29, 29, 32, 29, 28, 28, 28, 30, 29, 29, 
##     28, 30, 29, 29, 29, 29, 30, 28, 28, 29, 30, 29, 30, 29, 30, 
##     32, 32, 29, 29, 30, 29, 29, 29, 29, 29, 29, 30, 30, 31, 28, 
##     28, 29, 29, 29, 29, 28, 29, 28, 29, 28, 28, 29, 29, 29, 28, 
##     28, 30, 30, 29, 29, 29, 29, 30, 30, 29, 29, 29, 29, 30, 29, 
##     29, 29, 28, 29, 29, 31, 30, 28, 28, 28, 29, 29, 29, 29, 28, 
##     28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 28, 29, 30, 30, 29, 
##     29, 30, 29, 28, 29, 30, 30, 28, 30, 28, 29, 28, 29, 30, 28, 
##     29, 28, 28, 30, 28, 29, 29, 29, 29, 29, 29, 29, 28, 29, 28, 
##     28, 28, 28, 29, 28, 29, 28, 28, 29, 28, 28, 28, 28, 28, 28, 
##     28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 28, 
##     28, 28, 28, 29, 28, 27, 28, 29, 28, 29, 28, 30, 30, 31, 30, 
##     30, 31, 31, 31, 30, 29, 29, 29, 29, 29, 29, 30, 28, 29, 28, 
##     30, 30, 31, 33, 33, 33, 32, 31, 30, 30, 30, 30, 30, 31, 31, 
##     31, 29, 31, 30, 29, 29, 27, 28, 31, 29, 28, 32, 31, 28, 26, 
##     30, 31, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 
##     28, 28, 27, 28, 28, 28, 28, 28, 28, 28, 27, 27, 28, 28, 28, 
##     28, 28, 28, 19, 20, 20, 21, 22, 22, 22, 22, 22, 22, 23, 23, 
##     23, 24, 24, 23, 23, 23, 22, 22, 21, 21, 21, 20, 20, 18, 19, 
##     17, 18, 17, 18, 21, 22, 22, 23, 24, 24, 25, 25, 25, 26, 25, 
##     25, 24, 24, 24, 23, 23, 23, 22, 21, 21, 20, 19, 19, 19, 19, 
##     19, 19, 20, 21, 20, 20, 20, 20, 19, 20, 21, 21, 20, 21, 21, 
##     21, 21, 21, 21, 21, 21, 22, 23, 23, 23, 23, 24, 23, 22, 22, 
##     21, 20, 22, 20, 20, 18, 18, 18, 18, 18, 17, 16, 16, 16, 15, 
##     15, 15, 16, 17, 15, 15, 15, 15, 14, 15, 15, 15, 15, 15, 16, 
##     16, 16, 16, 16, 16, 17, 17, 16, 16, 16, 16, 16, 17, 16, 16, 
##     17, 14, 16, 16, 16, 16, 16, 16, 16, 15, 16, 15, 15, 15, 17, 
##     17, 17, 17, 17, 17, 17, 18, 17, 16, 16, 16, 17, 17, 17, 17, 
##     17, 17, 17, 16, 16, 16, 17, 15, 17, 16, 15, 16, 16, 16, 16, 
##     15, 15, 17, 17, 15, 15, 16, 15, 16, 15, 16, 16, 16, 17, 16, 
##     16, 15, 15, 16, 16, 16, 16, 16, 17, 16, 16, 17, 17, 17, 17, 
##     17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 17, 17, 17, 17, 
##     18, 18, 17, 17, 17, 17, 17, 17, 18, 16, 17, 16, 18, 17, 17, 
##     17, 16, 17, 17, 17, 17, 17, 17, 17, 16, 16, 17, 17, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
##     18, 18, 18, 18, 17, 18, 18, 17, 17, 17, 18, 18, 17, 17, 17, 
##     17, 17, 16, 17, 17, 16, 16, 16, 17, 17, 16, 17, 16, 16, 17, 
##     17, 17, 17, 17, 17, 16, 17, 16, 16, 16, 17, 16, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 18, 18, 17, 18, 18, 18, 18, 18, 
##     18, 18, 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 18, 18, 17, 
##     17, 17, 17, 17, 16, 17, 17, 17, 17, 16, 16, 17, 16, 16, 17, 
##     16, 16, 17, 17, 16, 16, 16, 17, 17, 17, 17, 17, 17, 16, 17, 
##     17, 17, 16, 17, 17, 17, 18, 18, 17, 18, 17, 17, 18, 18, 18, 
##     17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 18, 
##     18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 16, 17, 
##     17, 16, 17, 17, 18, 17, 17, 17, 17, 17, 18, 18, 18, 18, 17, 
##     17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     17, 18, 18, 18, 18, 18, 18, 17, 17, 16, 17, 17, 16, 17, 17, 
##     17, 16, 17, 16, 16, 17, 16, 16, 16, 16, 16, 16, 16, 17, 16, 
##     17, 16, 17, 17, 16, 17, 17, 17, 17, 17, 18, 17, 18, 17, 17, 
##     17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 17, 17, 18, 18, 17, 17, 17, 17, 17, 17, 17, 18, 17, 
##     17, 17, 17, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 16, 
##     16, 16, 17, 17, 16, 16, 17, 17, 16, 17, 17, 17, 17, 17, 17, 
##     18, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
##     18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 20, 16, 14, 
##     18, 17, 17, 17, 16, 16, 17, 17, 17, 16, 16, 16, 16, 17, 17, 
##     16, 17, 17, 16, 16, 16, 17, 17, 17, 17, 17, 17, 16, 16, 17, 
##     17, 16, 17, 17, 17, 16, 17, 17, 16, 17, 17, 17, 17, 16, 17, 
##     17, 17, 16, 17, 17, 16, 18, 18, 17, 17, 18, 18, 18, 18, 18, 
##     16, 17, 16, 16, 16, 16, 16, 17, 16, 17, 16, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 20, 
##     20, 21, 20, 18, 19, 18, 18, 19, 21, 20, 21, 21, 21, 21, 21, 
##     20, 20, 19, 18, 21, 22, 20, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 16, 17, 17, 16, 16, 17, 17, 18, 18, 18, 20, 21, 21, 18, 
##     18, 19, 18, 18, 17, 16, 16, 17, 18, 17, 17, 17, 17, 17, 17, 
##     16, 16, 17, 5, 3, 4, 7, 8, 7, 5, 5, 7, 8, 8, 7, 6, 9, 9, 
##     6, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 7, 8, 7, 7, 7, 
##     7, 8, 8, 7, 7, 8, 7, 8, 9, 9, 8, 8, 8, 7, 7, 7, 8, 8, 8, 
##     8, 7, 8, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 6, 6, 
##     6, 6, 7, 7, 6, 6, 6, 6, 6, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 7, 6, 6, 6, 6, 6, 6, 7, 8, 
##     7, 6, 7, 7, 6, 5, 7, 7, 7, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 
##     7, 6, 6, 6, 5, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 
##     7, 7, 7, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 7, 6, 6, 6, 6, 6, 
##     6, 6, 7, 7, 6, 7, 7, 6, 5, 8, 7, 7, 7, 6, 7, 7, 6, 6, 7, 
##     7, 6, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 7, 6, 6, 6, 6, 
##     7, 7, 6, 7, 6, 7, 7, 7, 7, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 
##     6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 7, 
##     7, 7, 7, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 
##     7, 7, 7, 6, 7, 8, 8, 5, 6, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 
##     7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 6, 6, 
##     6, 7, 7, 6, 6, 6, 7, 7, 7, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 
##     7, 7, 7, 7, 7, 7, 8, 7, 6, 6, 7, 6, 7, 6, 7, 7, 7, 8, 8, 
##     8, 7, 7, 6, 7, 7, 7, 5, 7, 6, 6, 6, 6, 7, 6, 6, 6, 7, 7, 
##     7, 6, 6, 6, 7, 7, 7, 7, 7, 8, 9, 7, 7, 7, 7, 7, 7, 7, 7, 
##     7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 
##     7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 
##     7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 
##     7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 
##     6, 7, 6, 7, 7, 6, 7, 8, 7, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 
##     9, 9, 8, 8, 8, 8, 8, 7, 7, 6, 7, 8, 7, 7, 7, 7, 6, 7, 7, 
##     8, 5, 6, 6, 7, 8, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 8, 8, 7, 
##     8, 7, 7, 8, 8, 8, 7, 8, 8, 8, 8, 26, 27, 28, 28, 29, 29, 
##     28, 28, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 
##     28, 32, 30, 27, 30, 27, 28, 29, 27, 29, 28, 28, 27, 29, 31, 
##     29, 30, 31, 30, 30, 30, 28, 29, 29, 30, 28, 29, 30, 30, 30, 
##     29, 30, 28, 30, 29, 29, 29, 28, 29, 30, 5, 4, 1, 2, 2, 1, 
##     1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 3, 3, 2, 3, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 9, 10, 9, 10, 9, 9, 9, 
##     8, 8, 8, 9, 9, 8, 10, 9, 9, 7, 8, 10, 10, 7, 8, 9, 8, 8, 
##     9, 9, 9, 10, 10, 11, 9, 9, 10, 11, 11, 11, 10, 10, 10, 11, 
##     10, 11, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 9, 10, 11, 8, 
##     8, 10, 8, 11, 11, 11, 11, 8, 9, 9, 9, 10, 10, 10, 10, 10, 
##     9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 9, 9, 9, 9, 
##     9, 10, 10, 10, 9, 9, 9, 9, 9, 10, 9, 9, 8, 8, 8, 9, 9, 9, 
##     9, 9, 8, 8, 9, 9, 9, 4, 4, 2, 3, 2, 2, 5, 2, 2, 2, 1, 1, 
##     2, 2, 2, 3, 3, 2, 3, 2, 3, 4, 4, 3, 2, 3, 2, 3, 3, 3, 3, 
##     3, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 
##     4, 4, 5, 4, 4, 5, 5, 6, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 6, 
##     6, 4, 3, 3, 5, 5, 5, 6, 5, 5, 4, 5, 4, 4, 4, 6, 5, 5, 3, 
##     3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 2, 
##     4, 6, 5, 7, 6, 5, 3, 2, 2, 5, 5, 5, 5, 6, 5, 4, 5, 1, 2, 
##     2, 3, 5, 4, 4, 4, 4, 4, 5, 5, 5, 3, 4, 5, 4, 4, 5, 3, 3, 
##     4, 3, 4, 3, 2, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 
##     2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 10, 10, 
##     9, 10, 9, 9, 10, 9, 9, 11, 10, 10, 9, 10, 9, 11, 11, 11, 
##     11, 11, 10, 10, 11, 10, 10, 10, 10, 10, 10, 11, 11, 10, 10, 
##     10, 10, 10, 10, 9, 9, 9, 9, 10, 9, 9, 9, 9, 8, 9, 9, 9, 10, 
##     9, 10, 10, 10, 9, 10, 10, 11, 11, 11, 11, 10, 11, 11, 10, 
##     11, 10, 10, 11, 9, 10, 10, 10, 9, 10, 9, 9, 9, 9, 9, 8, 9, 
##     9, 8, 9, 9, 10, 10, 10, 10, 10, 9, 10, 10, 9, 11, 10, 10, 
##     11, 10, 11, 10, 10, 10, 11, 11, 11, 10, 9, 10, 11, 11, 10, 
##     10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 
##     9, 5, 8, 8, 8, 9, 9, 10, 7, 9, 9, 9, 9, 10, 10, 10, 10, 10, 
##     9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 8, 9, 8, 
##     8, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 10, 8, 11, 8, 9, 10, 9, 
##     10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 10, 10, 
##     10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 
##     10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 6, 6, 5, 
##     5, 6, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 9, 10, 9, 9, 11, 
##     11, 9, 10, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 
##     9, 9, 11, 10, 10, 12, 10, 10, 10, 9, 9, 11, 10, 11, 8, 10, 
##     10, 10, 11, 10, 10, 10, 10, 9, 11, 10, 10, 10, 11, 10, 10, 
##     10, 9, 8, 8, 8, 8, 8, 7, 7, 6, 6, 6, 6, 8, 9, 9, 10, 10, 
##     10, 11, 11, 11, 9, 10, 10, 10, 11, 12, 11, 9, 10, 10, 9, 
##     10, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 11, 10, 9, 7, 7, 7, 7, 6, 6, 7, 8, 8, 10, 10, 10, 9, 
##     10, 11, 10, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 
##     4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 2, 2, 2, 2, 3, 2, 3, 
##     2, 2, 2, 1, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 2, 2, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 4, 4, 4, 4, 
##     4, 4, 4, 5, 5, 4, 4, 4, 3, 2, 4, 4, 5, 4, 4, 3, 4, 5, 3, 
##     4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 2, 2, 1, 
##     2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 3, 3, 2, 4, 5, 
##     4, 4, 4, 4, 3, 4, 4, 5, 5, 4, 4, 4, 3, 5, 4, 4, 4, 1, 1, 
##     1, 2, 2, 2, 3, 3, 3, 2, 3, 2, 4, 5, 5, 6, 6, 6, 6, 6, 6, 
##     6, 5, 5, 5, 6, 6, 6, 6, 5, 5, 4, 5, 4, 5, 5, 5, 3, 3, 4, 
##     4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 
##     3, 3, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 12, 11, 6, 5, 6, 6, 6, 
##     7, 6, 2, 0, 1, 5, 5, 7, 8, 9, 10, 10, 12, 12, 14, 14, 15, 
##     14, 13, 14, 15, 14, 14, 14, 13, 12, 12, 11, 6, 5, 5, 4, 3, 
##     4, 3, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 6, 10, 11, 10, 
##     4, 4, 4, 6, 6, 5, 7, 6, 6, 4, 2, 1, 1, 4, 4, 6, 7, 8, 9, 
##     10, 10, 11, 14, 14, 13, 14, 16, 17, 16, 16, 17, 16, 13, 13, 
##     12, 11, 11, 11, 9, 9, 8, 4, 4, 4, 4, 3, 1, 2, 2, 2, 3, 5, 
##     5, 5, 4, 6, 7, 7, 5, 5, 4, 4, 3, 2, 2, 1, 1, 2, 4, 7, 8, 
##     9, 10, 10, 11, 12, 12, 14, 13, 12, 13, 14, 15, 16, 16, 16, 
##     14, 13, 10, 7, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 
##     3, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 10, 9, 5, 6, 5, 4, 4, 4, 
##     3, 2, 1, 2, 4, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 
##     4, 4, 3, 3, 3, 3, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 3, 4, 3, 
##     3, 2, 2, 3, 1, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 
##     2, 2, 3, 4, 3, 3, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 
##     4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 
##     3, 3, 3, 4, 3, 2, 2, 2, 3, 4, 3, 4, 3, 2, 3, 2, 2, 1, 1, 
##     1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4, 3, 2, 
##     3, 3, 4, 3, 3, 4, 4, 5, 3, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 
##     2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 3, 2, 2, 2, 4, 
##     4, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 3, 3, 3, 2, 4, 4, 3, 2, 
##     2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 2, 3, 3, 3, 
##     2, 3, 4, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 3, 3, 6, 6, 5, 
##     4, 3, 3, 4, 5, 5, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 
##     5, 5, 6, 5, 8, 4, 5, 6, 5, 5, 3, 4, 5, 5, 6, 6, 28, 28, 28, 
##     28, 28, 28, 27, 28, 28, 28, 28, 28, 28, 28, 29, 28, 28, 28, 
##     28, 30, 28, 29, 30, 29, 29, 30, 29, 29, 27, 29, 29, 31, 30, 
##     29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 30, 30, 
##     30, 30, 30, 30, 31, 30, 30, 30, 30, 30, 30, 31, 31, 30, 30, 
##     29, 31, 31, 30, 29, 29, 30, 30, 31, 30, 30, 30, 31, 30, 30, 
##     30, 31, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 30, 31, 31, 
##     32, 32, 30, 31, 32, 30, 30, 30, 30, 30, 31, 31, 30, 30, 30, 
##     30, 30, 30, 30, 29, 30, 28, 30, 31, 28, 31, 27, 29, 29, 29, 
##     29, 31, 31, 31, 32, 32, 30, 30, 30, 29, 30, 29, 29, 29, 27, 
##     29, 31, 30, 29, 27, 28, 29, 29, 29, 29, 29, 29, 29, 30, 30, 
##     29, 30, 31, 31, 30, 30, 31, 30, 29, 29, 29, 30, 31, 31, 30, 
##     30, 29, 29, 29, 29, 29, 30, 27, 29, 29, 28, 28, 29, 29, 29, 
##     28, 28, 29, 29, 29, 29, 30, 29, 29, 30, 30, 31, 31, 31, 31, 
##     31, 30, 30, 31, 31, 31, 30, 29, 30, 29, 30, 28, 29, 29, 30, 
##     28, 29, 29, 30, 29, 29, 30, 30, 30, 31, 30, 30, 31, 31, 32, 
##     31, 32, 31, 32, 31, 31, 31, 32, 30, 30, 30, 29, 30, 31, 30, 
##     28, 28, 29, 30, 30, 29, 29, 28, 29, 30, 29, 30, 31, 30, 30, 
##     30, 32, 32, 30, 31, 31, 32, 31, 31, 30, 29, 32, 29, 30, 30, 
##     29, 29, 29, 28, 30, 30, 30, 30, 30, 30, 30, 30, 29, 30, 30, 
##     29, 28, 29, 30, 30, 29, 29, 29, 29, 29, 29, 28, 29, 28, 29, 
##     29, 30, 30, 30, 29, 29, 31, 31, 30, 30, 30, 30, 31, 30, 30, 
##     31, 29, 29, 30, 30, 29, 29, 29, 29, 28, 28, 28, 29, 28, 29, 
##     28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 32, 30, 29, 
##     30, 30, 30, 30, 30, 30, 31, 30, 29, 29, 30, 29, 28, 30, 28, 
##     27, 28, 29, 28, 28, 28, 29, 28, 28, 29, 28, 29, 28, 28, 28, 
##     29, 29, 28, 29, 28, 28, 29, 28, 28, 28, 28, 28, 28, 28, 28, 
##     29, 29, 28, 28, 29, 29, 29, 29, 29, 28, 29, 29, 29, 30, 30, 
##     29, 29, 30, 30, 30, 29, 29, 29, 29, 30, 30, 29, 29, 29, 30, 
##     29, 29, 29, 29, 29, 29, 17, 17, 17, 16, 16, 16, 17, 18, 17, 
##     17, 17, 17, 17, 17, 17, 18, 18, 17, 18, 18, 16, 16, 16, 16, 
##     16, 17, 15, 15, 17, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
##     18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 16, 18, 17, 16, 17, 
##     17, 17, 16, 16, 17, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 
##     18, 19, 19, 19, 19, 19, 19, 19, 19, 18, 19, 19, 18, 18, 18, 
##     19, 19, 18, 18, 18, 18, 18, 19, 18, 18, 18, 19, 19, 19, 19, 
##     20, 20, 20, 21, 20, 20, 21, 20, 21, 20, 20, 19, 19, 19, 18, 
##     17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 18, 18, 18, 19, 
##     19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 17, 17, 17, 17, 17, 
##     17, 17, 19, 19, 20, 20, 19, 20, 20, 19, 19, 20, 20, 19, 19, 
##     19, 19, 18, 19, 19, 18, 17, 17, 17, 17, 18, 16, 17, 17, 16, 
##     16, 16, 16, 17, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 
##     18, 18, 18, 19, 18, 18, 18, 18, 19, 19, 19, 18, 19, 19, 19, 
##     20, 19, 20, 19, 20, 19, 20, 20, 19, 19, 19, 19, 19, 19, 19, 
##     19, 18, 19, 18, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 18, 16, 18, 17, 17, 17, 18, 18, 
##     18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 19, 19, 
##     19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
##     18, 19, 19, 18, 18, 18, 18, 18, 17, 18, 18, 18, 17, 17, 17, 
##     17, 17, 17, 17, 18, 18, 18, 19, 19, 18, 18, 19, 19, 19, 19, 
##     19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 17, 17, 
##     17, 17, 17, 17, 17, 17, 17, 17, 18, 19, 18, 17, 18, 18, 19, 
##     19, 19, 19, 19, 18, 17, 17, 17, 17, 18, 18, 17, 17, 17, 17, 
##     17, 16, 17, 17, 17, 17, 16, 17, 17, 17, 17, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 17, 18, 
##     18, 17, 17, 17, 18, 18, 17, 17, 17, 17, 18, 18, 18, 18, 19, 
##     19, 18, 18, 19, 19, 19, 20, 20, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 19, 18, 18, 18, 18, 18, 18, 18, 18, 17, 
##     17, 17, 17, 17, 17, 17, 17, 16, 17, 17, 18, 17, 17, 16, 16, 
##     17, 16, 16, 16, 16, 17, 16, 16, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 17, 18, 17, 17, 7, 7, 7, 7, 7, 
##     7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 5, 5, 6, 6, 4, 3, 2, 
##     2, 2, 2, 1, 1, 1, 2, 3, 2, 1, 3, 2, 3, 3, 4, 3, 3, 3, 4, 
##     5, 4, 7, 6, 2, 2, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 
##     5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 
##     3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 
##     2, 3, 2, 2, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 
##     1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 4, 4, 4, 4, 
##     4, 4, 4, 3, 5, 5, 5, 5, 3, 2, 3, 3, 3, 2, 2, 2, 2, 2, 0, 
##     1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 4, 4, 4, 
##     4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 
##     1, 1, 1, 2, 2, 1, 3, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 
##     2, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 
##     0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 30, 29, 29, 29, 29, 30, 
##     30, 30, 29, 30, 30, 30, 29, 30, 29, 29, 29, 30, 30, 29, 29, 
##     29, 29, 29, 29, 28, 30, 30, 29, 28, 28, 28, 28, 28, 28, 28, 
##     29, 28, 29, 28, 29, 28, 29, 30, 31, 29, 28, 28, 29, 29, 29, 
##     29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 31, 32, 32, 30, 30, 
##     31, 31, 31, 32, 31, 30, 30, 30, 29, 30, 29, 29, 30, 30, 29, 
##     29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 14, 14, 15, 
##     16, 18, 19, 16, 16, 13, 12, 11, 10, 9, 7, 4, 6, 5, 4, 3, 
##     2, 2, 2, 3, 4, 5, 6, 7, 7, 5, 3, 2, 1, 1, 2, 2, 3, 4, 7, 
##     8, 10, 11, 11, 12, 13, 13, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 
##     2, 3, 12, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 10, 10, 10, 
##     10, 9, 9, 9, 9, 9, 6, 6, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 10, 
##     10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 11, 11, 10, 10, 9, 
##     9, 9, 8, 9, 7, 7, 7, 8, 8, 10, 10, 8, 6, 6, 6, 6, 7, 8, 9, 
##     10, 10, 10, 11, 9, 9, 9, 10, 10, 9, 9, 10, 10, 8, 9, 9, 9, 
##     9, 9, 9, 9, 8, 8, 6, 6, 6, 7, 10, 9, 9, 10, 11, 10, 9, 10, 
##     10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 9, 10, 10, 10, 10, 
##     10, 4, 3, 3, 4, 5, 4, 7, 5, 3, 4, 3, 2, 4, 3, 2, 2, 2, 2, 
##     2, 3, 3, 2, 3, 4, 4, 3, 3, 3, 2, 2, 3, 2, 3, 3, 4, 4, 4, 
##     4, 4, 4, 4, 5, 5, 5, 4, 3, 6, 5, 4, 4, 6, 5, 4, 3, 4, 5, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 
##     4, 5, 4, 4, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 6, 7, 7, 10, 10, 
##     10, 29, 29, 29, 18, 19, 18, 17, 17, 17, 18, 20, 20, 21, 21, 
##     21, 21, 22, 22, 24, 26, 26, 26, 26, 26, 26, 27, 28, 29, 30, 
##     30, 30, 29, 29, 24, 23, 21, 21, 21, 21, 20, 20, 19, 18, 19, 
##     17, 17, 17, 16, 15, 16, 16, 17, 18, 18, 17, 18, 17, 17, 17, 
##     17, 18, 18, 18, 17, 15, 16, 16, 13, 14, 13, 13, 17, 18, 19, 
##     18, 19, 23, 24, 26, 26, 26, 27, 28, 28, 28, 27, 27, 27, 27, 
##     27, 25, 24, 22, 21, 20, 20, 19, 19, 17, 18, 18, 18, 16, 16, 
##     16, 16, 17, 17, 17, 17, 17, 18, 17, 17, 17, 16, 16, 16, 15, 
##     15, 16, 16, 15, 16, 16, 16, 16, 16, 16, 15, 16, 14, 14, 14, 
##     14, 17, 19, 20, 22, 23, 23, 23, 21, 19, 17, 17, 17, 16, 17, 
##     17, 16, 16, 17, 17, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 4, 5, 8, 
##     9, 10, 11, 14, 13, 15, 16, 17, 18, 19, 21, 23, 24, 24, 24, 
##     24, 25, 28, 29, 30, 27, 26, 25, 25, 23, 21, 21, 18, 17, 17, 
##     14, 10, 9, 9, 7, 7, 8, 5, 6, 7, 4, 3, 3, 2, 3, 3, 4, 5, 5, 
##     3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 6, 8, 8, 9, 9, 10, 10, 9, 
##     11, 12, 13, 14, 16, 18, 19, 21, 22, 24, 22, 21, 24, 28, 29, 
##     28, 19, 18, 18, 19, 16, 15, 15, 15, 14, 13, 10, 10, 10, 7, 
##     5, 5, 7, 6, 5, 5, 3, 2, 2, 2, 3, 5, 8, 6, 6, 5, 6, 6, 5, 
##     5, 5, 5, 5, 3, 2, 7, 10, 13, 14, 14, 15, 16, 16, 16, 18, 
##     21, 23, 23, 24, 26, 27, 29, 29, 29, 28, 25, 23, 20, 19, 18, 
##     17, 17, 18, 17, 15, 14, 13, 10, 10, 12, 13, 17, 18, 22, 23, 
##     24, 25, 26, 27, 27, 24, 22, 20, 18, 17, 15, 13, 11, 8, 6, 
##     2, 4, 2, 8, 7, 7, 6, 5, 3, 3, 3, 3, 5, 6, 8, 10, 11, 14, 
##     15, 17, 17, 19, 21, 22, 21, 19, 20, 19, 18, 19, 21, 23, 25, 
##     21, 20, 17, 15, 15, 14, 14, 12, 10, 9, 7, 4, 2, 1, 3, 2, 
##     3, 3, 5, 5, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 3, 
##     13, 14, 14, 13, 12, 12, 12, 11, 10, 9, 7, 6, 3, 2, 2, 1, 
##     1, 1, 2, 2, 1, 1, 1, 3, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 1, 
##     2, 3, 3, 4, 6, 7, 9, 8, 8, 9, 10, 11, 13, 15, 15, 15, 16, 
##     19, 17, 16, 14, 13, 10, 9, 10, 9, 6, 4, 4, 2, 2, 2, 2, 3, 
##     3, 2, 8, 4, 6, 5, 5, 4, 4, 3, 3, 5, 4, 5, 6, 6, 7, 9, 10, 
##     13, 12, 14, 14, 14, 13, 15, 16, 16, 16, 17, 17, 16, 14, 13, 
##     13, 13, 11, 10, 10, 9, 9, 9, 7, 6, 6, 7, 7, 4, 3, 3, 4, 4, 
##     3, 3, 2, 2, 3, 3, 4, 4, 4, 2, 2, 3, 2, 2, 2, 3, 4, 4, 6, 
##     6, 7, 7, 7, 8, 10, 12, 10, 12, 15, 17, 15, 15, 16, 20, 21, 
##     21, 21, 20, 17, 16, 16, 16, 14, 14, 14, 13, 12, 12, 13, 10, 
##     9, 8, 10, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 6, 5, 5, 6, 6, 6, 
##     7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 
##     6, 6, 9, 9, 10, 10, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 6, 6, 6, 
##     6, 6, 6, 6, 9, 10, 10, 10, 8, 10, 11, 10, 10, 10, 10, 10, 
##     10, 11, 10, 10, 11, 10, 10, 10, 11, 11, 10, 10, 10, 9, 7, 
##     7, 7, 8, 8, 8, 8, 9, 10, 10, 12, 12, 11, 11, 12, 12, 9, 9, 
##     10, 12, 11, 11, 11, 10, 10, 11, 11, 10, 11, 10, 10, 10, 10, 
##     11, 11, 11, 11, 11, 10, 10, 11, 10, 10, 9, 8, 8, 8, 7, 6, 
##     6, 6, 8, 9, 10, 12, 10, 10, 9, 10, 11, 10, 10, 11, 11, 10, 
##     10, 9, 9, 10, 10, 10, 11, 11, 11, 11, 10, 9, 9, 9, 10, 10, 
##     10, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 3, 3, 
##     3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 4, 5, 6, 5, 5, 9, 7, 
##     8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 9, 9, 8, 8, 8, 7, 6, 4, 
##     9, 3, 2, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 5, 5, 4, 
##     4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 
##     1, 2, 3, 3, 3, 5, 5, 6, 6, 6, 6, 8, 8, 6, 8, 8, 8, 9, 9, 
##     9, 9, 8, 8, 10, 10, 8, 8, 8, 7, 7, 10, 9, 6, 5, 5, 5, 6, 
##     5, 5, 7, 2, 2, 2, 2, 2, 1, 1, 4, 3, 2, 1, 2, 3, 4, 4, 6, 
##     6, 4, 3, 4, 4, 3, 2, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6, 
##     6, 8, 8, 10, 10, 10, 12, 12, 13, 13, 12, 13, 13, 13, 13, 
##     14, 14, 13, 12, 12, 9, 9, 8, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 
##     4, 4, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 1, 2, 3, 3, 2, 3, 3, 
##     3, 3, 4, 4, 4, 4, 3, 3, 3, 2, 1, 5, 6, 6, 7, 7, 7, 8, 9, 
##     9, 10, 10, 9, 9, 9, 11, 12, 12, 12, 12, 13, 13, 14, 13, 12, 
##     12, 12, 11, 11, 8, 9, 8, 6, 5, 5, 4, 4, 4, 4, 3, 2, 2, 1, 
##     1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 4, 5, 5, 6, 5, 6, 5, 4, 4, 
##     4, 3, 3, 3, 3, 2, 2, 2, 1, 1, 2, 2, 5, 7, 7, 7, 7, 7, 7, 
##     11, 11, 8, 12, 15, 14, 15, 16, 15, 14, 15, 15, 14, 13, 12, 
##     12, 13, 9, 10, 9, 8, 5, 5, 4, 3, 4, 2, 2, 3, 2, 1, 1, 2, 
##     2, 4, 3, 4, 3, 3, 3, 3, 5, 3, 3, 2, 3, 1, 1, 3, 3, 1, 2, 
##     2, 3, 4, 4, 5, 5, 5, 6, 7, 7, 6, 10, 11, 12, 11, 11, 12, 
##     2, 1, 0, 1, 2, 3, 2, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 
##     3, 3, 3, 2, 2, 1, 1, 2, 1, 1, 1, 1, 3, 3, 4, 6, 7, 7, 7, 
##     7, 9, 8, 8, 9, 10, 10, 11, 12, 11, 12, 12, 12, 11, 12, 9, 
##     9, 9, 9, 8, 8, 2, 2, 3, 3, 2, 1, 1, 1, 3, 3, 4, 4, 6, 6, 
##     4, 4, 4, 4, 3, 3, 3, 2, 3, 1, 4, 3, 3, 3, 3, 3, 3, 5, 6, 
##     6, 7, 8, 7, 7, 8, 10, 13, 14, 13, 9, 9, 10, 8, 8, 8, 8, 6, 
##     5, 5, 7, 6, 5, 5, 4, 3, 3, 2, 1, 2, 2, 2, 1, 1, 1, 3, 4, 
##     4, 3, 3, 3, 2, 2, 6, 6, 5, 3, 2, 2, 2, 1, 1, 1, 0, 1, 0, 
##     2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 10, 10, 8, 7, 6, 9, 
##     9, 7, 10, 10, 9, 9, 11, 9, 9, 8, 8, 8, 8, 8, 7, 7, 8, 7, 
##     8, 9, 11, 10, 9, 9, 9, 9, 10, 10, 10, 10, 10, 7, 8, 9, 9, 
##     9, 8, 10, 10, 12, 10, 8, 7, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 
##     8, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 
##     5, 5, 4, 4, 4, 4, 3, 3, 2, 2, 3, 2, 2, 4, 5, 5, 6, 8, 8, 
##     10, 10, 8, 11, 14, 14, 15, 16, 17, 17, 17, 15, 15, 14, 14, 
##     13, 13, 12, 11, 12, 9, 9, 9, 9, 7, 8, 7, 6, 7, 6, 6, 8, 10, 
##     10, 10, 11, 12, 14, 14, 14, 15, 15, 16, 18, 17, 16, 16, 17, 
##     16, 15, 14, 13, 12, 10, 10, 8, 11, 9, 7, 7, 7, 7, 6, 7, 12, 
##     12, 12, 11, 9, 9, 9, 8, 6, 6, 7, 7, 8, 9, 9, 9, 12, 12, 15, 
##     15, 15, 15, 15, 15, 18, 18, 18, 19, 19, 19, 18, 18, 17, 17, 
##     17, 17, 16, 16, 15, 15, 14, 13, 11, 12, 12, 11, 10, 10, 8, 
##     8, 8, 8, 7, 8, 8, 8, 8, 9, 10, 12, 16, 16, 16, 16, 16, 15, 
##     16, 16, 16, 18, 19, 19, 19, 19, 18, 17, 17, 16, 16, 15, 13, 
##     13, 12, 13, 13, 12, 11, 10, 12, 12, 9, 9, 8, 8, 8, 7, 8, 
##     11, 12, 12, 12, 14, 14, 14, 15, 15, 15, 15, 14, 14, 15, 16, 
##     16, 16, 17, 18, 17, 17, 16, 16, 15, 15, 15, 12, 13, 12, 10, 
##     11, 11, 10, 10, 9, 8, 8, 8, 9, 9, 10, 10, 10, 12, 13, 14, 
##     14, 14, 15, 15, 15, 16, 16, 16, 17, 18, 18, 17, 17, 17, 17, 
##     16, 16, 16, 16, 14, 13, 13, 13, 11, 13, 11, 9, 10, 9, 9, 
##     10, 11, 10, 10, 11, 12, 12, 13, 13, 14, 15, 16, 16, 17, 13, 
##     14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 17, 18, 18, 19, 18, 
##     17, 17, 16, 16, 16, 16, 16, 16, 13, 14, 13, 14, 13, 13, 12, 
##     12, 11, 12, 12, 11, 10, 9, 10, 11, 10, 11, 12, 11, 12, 13, 
##     14, 15, 15, 15, 16, 16, 17, 16, 17, 17, 17, 17, 18, 18, 19, 
##     19, 18, 17, 16, 18, 18, 18, 17, 18, 14, 14, 15, 14, 15, 15, 
##     13, 13, 13, 13, 12, 12, 13, 11, 11, 10, 10, 10, 10, 10, 9, 
##     9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 
##     6, 6, 6, 6, 6, 5, 5, 6, 5, 4, 6, 6, 6, 5, 4, 5, 5, 4, 4, 
##     4, 4, 4, 5, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 29, 29, 30, 29, 29, 29, 29, 30, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 29, 
##     29, 29, 30, 30, 30, 30, 29, 29, 29, 30, 30, 29, 30, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 30, 30, 30, 30, 
##     29, 29, 29, 30, 30, 30, 29, 29, 30, 30, 30, 29, 30, 30, 30, 
##     29, 29, 29, 30, 29, 29, 29, 30, 30, 30, 30, 30, 30, 29, 29, 
##     29, 29, 29, 29, 29, 30, 30, 29, 29, 30, 29, 30, 30, 29, 30, 
##     29, 29, 30, 30, 31, 30, 30, 30, 29, 30, 30, 30, 30, 30, 30, 
##     30, 29, 30, 30, 31, 30, 30, 30, 30, 29, 29, 30, 30, 29, 28, 
##     28, 28, 31, 29, 30, 30, 30, 31, 29, 28, 27, 29, 32, 32, 33, 
##     33, 34, 34, 35, 28, 27, 28, 29, 29, 30, 34, 33, 29, 28, 27, 
##     31, 31, 30, 30, 29, 28, 28, 29, 30, 31, 31, 31, 36, 34, 29, 
##     31, 33, 34, 34, 30, 30, 29, 27, 31, 29, 30, 33, 32, 32, 28, 
##     30, 29, 30, 30, 29, 29, 28, 28, 30, 30, 33, 31, 33, 33, 35, 
##     31, 28, 29, 30, 32, 33, 35, 35, 36, 32, 31, 32, 31, 31, 29, 
##     29, 28, 29, 30, 33, 29, 28, 40, 42, 29, 29, 30, 30, 28, 28, 
##     31, 29, 29, 29, 29, 29, 29, 28, 30, 32, 33, 32, 30, 29, 32, 
##     34, 35, 32, 33, 33, 35, 35, 33, 30, 30, 29, 26, 28, 27, 26, 
##     26, 28, 28, 30, 30, 31, 28, 27, 27, 29, 29, 27, 29, 28, 27, 
##     28, 29, 29, 31, 32, 32, 33, 33, 32, 31, 32, 29, 30, 31, 32, 
##     33, 32, 32, 30, 31, 32, 32, 32, 30, 29, 28, 28, 25, 29, 25, 
##     30, 31, 29, 28, 27, 27, 29, 28, 28, 28, 27, 28, 29, 28, 29, 
##     29, 29, 30, 31, 29, 30, 31, 31, 30, 30, 31, 31, 32, 32, 29, 
##     29, 30, 30, 27, 29, 31, 32, 33, 32, 30, 29, 30, 30, 29, 30, 
##     29, 31, 30, 28, 26, 31, 30, 27, 32, 36, 28, 30, 29, 27, 27, 
##     29, 29, 29, 28, 31, 31, 30, 33, 30, 31, 32, 32, 31, 31, 29, 
##     28, 27, 29, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 
##     17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 
##     20, 19, 19, 19, 20, 19, 20, 20, 20, 20, 20, 20, 19, 19, 19, 
##     19, 19, 19, 19, 18, 19, 18, 19, 18, 17, 18, 18, 17, 18, 18, 
##     17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 17, 17, 17, 18, 18, 17, 16, 17, 17, 18, 19, 18, 18, 19, 
##     19, 19, 20, 20, 20, 20, 21, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 19, 19, 19, 18, 18, 18, 19, 18, 19, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 19, 
##     18, 19, 19, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 
##     21, 22, 21, 21, 21, 21, 20, 20, 20, 20, 20, 19, 19, 19, 19, 
##     19, 19, 19, 18, 18, 19, 18, 18, 18, 18, 17, 17, 17, 18, 18, 
##     18, 17, 17, 17, 18, 17, 17, 18, 18, 17, 18, 18, 18, 18, 19, 
##     19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 22, 22, 21, 22, 22, 
##     23, 22, 22, 22, 22, 22, 23, 22, 22, 22, 21, 21, 21, 21, 21, 
##     20, 20, 20, 20, 20, 21, 21, 21, 20, 20, 19, 20, 20, 21, 21, 
##     21, 20, 20, 16, 16, 17, 17, 17, 18, 18, 19, 20, 20, 21, 20, 
##     21, 21, 20, 20, 20, 20, 21, 21, 22, 22, 23, 23, 23, 23, 22, 
##     22, 23, 23, 23, 23, 22, 22, 21, 21, 21, 19, 19, 19, 19, 18, 
##     18, 18, 18, 18, 18, 19, 19, 18, 18, 19, 19, 19, 19, 19, 19, 
##     19, 19, 18, 19, 18, 18, 17, 16, 16, 16, 16, 16, 16, 17, 17, 
##     17, 19, 20, 21, 22, 23, 22, 22, 23, 24, 26, 26, 28, 27, 28, 
##     17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 17, 16, 
##     16, 16, 17, 18, 18, 18, 18, 17, 16, 17, 17, 16, 16, 15, 18, 
##     18, 19, 20, 21, 23, 22, 24, 23, 23, 25, 25, 25, 29, 28, 29, 
##     29, 29, 29, 31, 31, 31, 31, 30, 30, 24, 23, 21, 21, 22, 22, 
##     20, 19, 18, 18, 18, 18, 17, 17, 18, 18, 18, 18, 17, 18, 18, 
##     17, 18, 16, 16, 17, 19, 19, 15, 17, 17, 17, 17, 16, 17, 17, 
##     17, 15, 14, 15, 15, 26, 27, 27, 27, 27, 27, 27, 27, 26, 26, 
##     26, 24, 23, 23, 18, 18, 18, 18, 18, 18, 18, 18, 15, 15, 16, 
##     16, 17, 18, 18, 19, 20, 20, 20, 21, 22, 22, 23, 25, 25, 26, 
##     32, 31, 31, 31, 31, 32, 31, 31, 31, 31, 30, 28, 27, 26, 24, 
##     22, 22, 21, 20, 20, 20, 19, 19, 19, 19, 19, 18, 19, 20, 20, 
##     20, 20, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 16, 16, 16, 
##     15, 16, 9, 21, 26, 26, 26, 24, 20, 22, 21, 23, 20, 14, 15, 
##     16, 13, 9, 13, 12, 13, 13, 14, 12, 11, 12, 11, 12, 11, 11, 
##     12, 12, 13, 13, 16, 15, 11, 8, 10, 11, 10, 10, 10, 12, 10, 
##     10, 11, 11, 11, 12, 13, 13, 14, 14, 13, 14, 15, 15, 15, 15, 
##     17, 12, 17, 16, 5, 7, 10, 14, 15, 17, 19, 21, 19, 15, 16, 
##     10, 12, 13, 11, 11, 12, 10, 12, 11, 11, 9, 9, 10, 10, 10, 
##     9, 10, 11, 10, 10, 10, 10, 10, 10, 11, 12, 13, 12, 13, 13, 
##     14, 14, 14, 14, 14, 14, 13, 15, 13, 13, 13, 14, 12, 12, 12, 
##     12, 14, 17, 16, 16, 19, 19, 23, 14, 15, 11, 15, 14, 13, 15, 
##     12, 11, 17, 18, 19, 19, 18, 16, 19, 19, 18, 20, 22, 17, 17, 
##     16, 16, 14, 10, 13, 8, 11, 13, 14, 13, 14, 14, 15, 11, 9, 
##     7, 5, 8, 10, 15, 18, 20, 21, 21, 23, 17, 15, 11, 12, 12, 
##     10, 9, 11, 11, 9, 10, 12, 14, 11, 10, 10, 9, 9, 8, 9, 10, 
##     9, 9, 11, 12, 13, 13, 13, 14, 13, 12, 9, 10, 10, 13, 15, 
##     15, 15, 16, 17, 15, 13, 12, 9, 10, 10, 10, 11, 13, 16, 16, 
##     15, 15, 16, 18, 14, 15, 18, 14, 11, 15, 10, 8, 9, 8, 11, 
##     13, 10, 11, 10, 29, 29, 28, 31, 29, 30, 31, 30, 29, 28, 28, 
##     28, 28, 29, 30, 28, 31, 29, 28, 30, 30, 29, 29, 29, 29, 29, 
##     29, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 15, 15, 14, 11, 12, 13, 
##     12, 14, 11, 8, 8, 9, 8, 8, 9, 8, 7, 4, 6, 5, 3, 33, 31, 33, 
##     32, 31, 31, 26, 28, 29, 30, 30, 30, 29, 28, 28, 29, 28, 29, 
##     30, 30, 30, 30, 32, 32, 29, 34, 32, 32, 31, 29, 30, 32, 31, 
##     29, 27, 27, 27, 29, 26, 25, 28, 30, 28, 29, 29, 29, 27, 26, 
##     27, 28, 28, 32, 32, 33, 31, 29, 27, 28, 28, 28, 30, 28, 27, 
##     30, 29, 27, 31, 29, 30, 30, 31, 28, 28, 29, 29, 27, 28, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
##     29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 4, 5, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 
##     5, 18, 18, 16, 16, 16, 16, 15, 12, 12, 13, 12, 12, 10, 11, 
##     10, 10, 11, 11, 12, 10, 11, 12, 12, 12, 8, 8, 9, 11, 12, 
##     12, 12, 12, 14, 15, 15, 15, 15, 15, 14, 15, 16, 17, 18, 18, 
##     19, 17, 17, 16, 14, 14, 12, 11, 14, 11, 11, 12, 14, 16, 18, 
##     21, 16, 13, 15, 15, 10, 11, 12, 10, 10, 13, 13, 12, 10, 12, 
##     9, 11, 9, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 9, 9, 8, 
##     9, 9, 10, 10, 11, 12, 12, 11, 11, 12, 14, 13, 10, 10, 11, 
##     13, 12, 12, 10, 11, 10, 10, 11, 12, 13, 13, 15, 15, 15, 16, 
##     15, 12, 13, 15, 17, 16, 16, 15, 16, 13, 13, 17, 6, 5, 10, 
##     16, 16, 18, 19, 20, 22, 17, 15, 12, 15, 10, 12, 13, 11, 12, 
##     10, 11, 10, 10, 9, 9, 9, 8, 10, 11, 10, 11, 12, 12, 11, 9, 
##     10, 17, 19, 18, 22, 22, 21, 9, 4, 3, 3, 3, 3, 4, 2, 2, 4, 
##     5, 6, 6, 5, 9, 12, 13, 13, 13, 13, 13, 13, 13, 15, 17, 17, 
##     17, 19, 19, 18, 16, 15, 14, 14, 14, 13, 13, 12, 9, 10, 10, 
##     6, 8, 5, 4, 4, 4, 3, 2, 2, 2, 5, 1, 7, 7, 8, 9, 12, 12, 12, 
##     14, 16, 16, 18, 19, 20, 23, 23, 21, 20, 19, 15, 15, 10, 7, 
##     7, 5, 4, 5, 3, 3, 1, 4, 2, 2, 3, 2, 3, 3, 3, 3, 3, 2, 1, 
##     5, 7, 8, 11, 14, 14, 14, 13, 25, 24, 28, 28, 27, 27, 26, 
##     26, 23, 23, 23, 22, 20, 20, 20, 20, 18, 19, 19, 19, 19, 19, 
##     18, 19, 19, 19), gyros_dumbbell_x = c(0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 
##     -0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, -0.02, -0.02, -0.02, 
##     -0.02, 0, -0.02, -0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0.02, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, 0, -0.02, 0, 0, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, 0.8, 0, -0.02, -0.18, -0.18, 
##     -0.21, -0.22, -0.16, -0.16, -0.13, -0.13, -0.14, -0.14, -0.14, 
##     0.37, 0.42, 0.61, 0.66, 0.71, 0.72, 0.72, 0.74, 0.77, 0.77, 
##     0.9, 0.72, 0.69, 0.58, 0.48, 0.4, 0.35, 0.48, 0.45, 0.43, 
##     0.43, 0.43, 0.43, 0.45, 0.47, 0.47, 0.45, 0.43, 0.43, 0.45, 
##     0.48, 0.48, 0.48, 0.5, 0.5, 0.48, 0.45, 0.48, 0.48, 0.47, 
##     0.47, 0.47, 0.47, 0.47, 0.47, 0.47, 0.45, 0.47, 0.48, 0.47, 
##     0.45, 0.51, 0.5, 0.47, 0.48, 0.48, 0.47, 0.47, 0.43, 0.4, 
##     0.43, 0.42, 0.43, 0.45, 0.5, 0.48, 0.5, 0.51, 0.53, 0.51, 
##     0.51, 0.51, 0.51, 0.5, 0.51, 0.5, 0.48, 0.48, 0.48, 0.48, 
##     0.48, 0.43, 0.45, 0.48, 0.5, 0.48, 0.51, 0.53, 0.51, 0.51, 
##     0.5, 0.48, 0.47, 0.47, 0.45, 0.45, 0.43, 0.42, 0.42, 0.42, 
##     0.43, 0.42, 0.43, 0.43, 0.43, 0.43, 0.45, 0.47, 0.45, 0.45, 
##     0.47, 0.47, 0.45, 0.45, 0.47, 0.47, 0.47, 0.47, 0.47, 0.48, 
##     0.47, 0.47, 0.48, 0.48, 0.48, 0.48, 0.48, 0.48, 0.5, 0.5, 
##     0.48, 0.48, 0.53, 0.55, 0.56, 0.56, 0.53, 0.48, 0.48, 0.43, 
##     0.37, 0.31, 0.32, 0.37, 0.29, 0.31, 0.35, 0.31, 0.29, 0.26, 
##     0.24, 0.22, 0.19, 0.02, -0.05, -0.06, -0.08, 0.06, 0.56, 
##     0.87, 0.88, 0.93, 0.93, 0.9, 0.8, 0.72, 0.66, 0.69, 0.66, 
##     0.58, 0.67, 0.71, 0.58, 0.58, 0.59, 0.58, 0.59, 0.39, 0.39, 
##     0.5, 0.58, 0.59, 0.63, 0.61, 0.61, 0.55, 0.48, 0.32, 0.43, 
##     0.45, 0.37, 0.37, 0.43, 0.5, 0.55, 0.61, 0.59, 0.64, 0.66, 
##     0.67, 0.66, 0.66, 0.64, 0.63, 0.61, 0.61, 0.61, 0.56, 0.56, 
##     0.31, 0.34, 0.27, 0.14, -0.14, 0.34, 0.45, 0.45, 0.5, 0.42, 
##     0.16, 0.08, 0.14, 0.26, 0.24, 0.26, 0.43, 0.48, 0.59, 0.63, 
##     0.64, 0.59, 0.77, 0.83, 0.72, 0.66, 0.58, 0.56, 0.53, 0.53, 
##     0.51, 0.51, 0.48, 0.45, 0.37, 0.34, 0.29, 0.08, -0.03, -0.11, 
##     -0.18, -0.11, -0.02, 0.14, 0.31, 0.58, 0.71, 0.8, 0.9, 0.96, 
##     0.98, 0.77, 0.67, 0.71, 0.74, 0.63, 0.53, 0.55, 0.45, 0.42, 
##     0.55, 0.53, 0.59, 0.53, 0.42, 0.43, 0.53, 0.55, 0.31, 0.39, 
##     0.51, 0.55, 0.56, 0.56, 0.58, 0.69, 0.59, 0.43, 0.39, 0.32, 
##     0.29, 0.31, 0.37, 0.43, 0.4, 0.37, 0.43, 0.45, 0.4, 0.4, 
##     0.48, 0.55, 0.5, 0.61, 0.61, 0.61, 0.59, 0.64, 0.55, 0.51, 
##     0.45, 0.39, 0.4, 0.4, 0.32, 0.27, 0.14, -0.1, -0.16, -0.31, 
##     -0.31, -0.21, -0.05, 0.19, 0.48, 0.59, 0.83, 0.83, 0.88, 
##     0.93, 0.95, 0.9, 0.79, 0.72, 0.75, 0.66, 0.66, 0.64, 0.63, 
##     0.67, 0.61, 0.59, 0.45, 0.48, 0.5, 0.51, 0.55, 0.51, 0.5, 
##     0.48, 0.42, 0.37, 0.34, 0.31, 0.31, -0.29, -0.35, -0.39, 
##     -0.35, 0.16, 0.61, 0.75, 0.92, 0.96, 0.98, 0.98, 0.98, 0.92, 
##     0.85, 0.72, 0.79, 0.71, 0.72, 0.66, 0.58, 0.35, 0.45, 0.47, 
##     0.45, 0.4, 0.4, 0.45, 0.45, 0.47, 0.5, 0.48, 0.48, 0.47, 
##     0.51, 0.53, 0.47, 0.42, 0.42, 0.45, 0.47, 0.51, 0.5, 0.51, 
##     0.55, 0.58, 0.56, 0.51, 0.5, 0.51, 0.48, 0.43, 0.43, 0.39, 
##     0.32, 0.21, 0.13, 0.03, -0.08, -0.16, -0.35, -0.4, -0.4, 
##     -0.19, 1.01, 1.01, 0.93, 0.88, 0.87, 0.72, 0.66, 0.64, 0.61, 
##     0.58, 0.32, 0.34, 0.35, 0.45, 0.48, 0.47, 0.19, 0.13, 0.05, 
##     -0.1, -0.26, -0.16, 0.56, 0.72, 0.79, 0.85, 0.93, 0.98, 0.96, 
##     0.93, 0.79, 0.75, 0.61, 0.66, 0.58, 0.51, 0.55, 0.43, 0.47, 
##     0.51, 0.42, 0.48, 0.53, 0.5, 0.55, 0.47, 0.53, 0.51, 0.47, 
##     0.5, 0.42, 0.32, 0.32, 0.27, 0.16, -0.27, -0.32, -0.21, 0.37, 
##     0.72, 1, 0.98, 0.9, 0.85, 0.72, 0.69, 0.53, 0.29, 0.34, 0.42, 
##     0.4, 0.37, 0.45, 0.53, 0.59, -0.43, -0.05, 0.18, 0.35, 0.51, 
##     0.98, 1.14, 1.12, 1, 0.92, 0.79, 0.82, 0.66, 0.67, 0.69, 
##     0.58, 0.5, 0.59, 0.61, 0.66, 0.59, 0.55, 0.55, 0.48, 0.42, 
##     0.39, 0.4, 0.4, 0.35, 0.42, 0.55, 0.51, 0.53, 0.53, 0.5, 
##     0.47, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.16, 0.16, 0.19, 
##     0.21, 0.18, 0.18, 0.18, 0.16, 0.16, 0.16, 0.16, 0.14, 0.14, 
##     0.14, 0.14, 0.14, 0.14, 0.16, 0.16, 0.18, 0.18, 0.18, 0.18, 
##     0.19, 0.19, 0.19, 0.21, 0.19, 0.19, 0.21, 0.21, 0.18, 0.18, 
##     0.18, 0.16, 0.13, 0.1, 0.18, 0.11, 0.18, 0.18, 0.16, 0.18, 
##     0.18, 0.19, 0.21, 0.22, 0.22, 0.21, 0.19, 0.16, 0.13, 0.1, 
##     0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.13, 0.14, 0.16, 0.18, 
##     0.16, 0.13, 0.11, 0.11, 0.11, 0.13, 0.11, 0.13, 0.13, 0.11, 
##     0.06, 0.03, 0.06, 0.13, 0.16, 0.11, 0.1, 0.1, 0.13, 0.11, 
##     0.13, 0.1, 0.11, 0.13, 0.13, 0.11, 0.11, 0.13, 0.11, 0.14, 
##     0.11, 0.13, 0.11, 0.14, 0.02, -0.02, 0.06, 0.08, 0.14, 0.14, 
##     0.13, 0.13, 0.11, 0.11, 0.13, 0.14, 0.16, 0.19, 0.18, 0.13, 
##     0.14, 0.14, 0.11, 0.14, 0.16, 0.14, 0.14, 0.16, 0.16, 0.14, 
##     0.16, 0.16, 0.18, 0.16, 0.16, 0.16, 0.14, 0.14, 0.16, 0.11, 
##     0.13, 0.13, 0.14, 0.16, 0.16, 0.16, 0.16, 0.14, 0.13, 0.16, 
##     0.14, 0.14, 0.16, 0.14, 0.14, 0.14, 0.16, 0.13, 0.13, 0.13, 
##     0.13, 0.14, 0.14, 0.13, 0.14, 0.13, 0.13, 0.13, 0.14, 0.14, 
##     0.13, 0.11, 0.11, 0.13, 0.13, 0.14, 0.16, 0.16, 0.14, 0.18, 
##     0.14, 0.14, 0.13, 0.13, 0.13, 0.16, 0.18, 0.16, 0.14, 0.14, 
##     0.14, 0.16, 0.16, 0.16, 0.16, 0.13, 0.11, 0.1, 0.14, 0.14, 
##     0.14, 0.11, 0.08, 0.05, 0.03, 0.05, 0.11, 0.11, 0.14, -0.13, 
##     -0.18, -0.21, -0.26, -0.31, -0.31, -0.34, -0.39, -0.32, -0.29, 
##     -0.29, -0.27, -0.27, -0.26, -0.26, -0.24, -0.19, -0.16, -0.06, 
##     -0.05, -0.13, -0.16, -0.19, -0.11, 0.19, 0.18, 0.11, 0.11, 
##     0.11, 0.1, 0.13, 0.16, 0.16, 0.14, 0.14, 0.13, 0.14, 0.16, 
##     0.14, 0.13, 0.14, 0.14, 0.11, 0.08, 0.08, 0.1, 0.13, 0.16, 
##     0.19, 0.21, 0.21, 0.18, 0.19, 0.19, 0.21, 0.19, 0.19, 0.19, 
##     0.19, 0.19, 0.19, 0.21, 0.22, 0.21, 0.19, 0.16, 0.18, 0.21, 
##     0.16, 0.14, 0.16, 0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 0.14, 
##     0.14, 0.14, 0.14, 0.21, 0.19, 0.19, 0.18, 0.18, 0.22, 0.21, 
##     0.19, 0.16, 0.18, 0.19, 0.21, 0.21, 0.21, 0.19, 0.18, 0.14, 
##     0.13, 0.14, 0.14, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 0.16, 
##     0.16, 0.14, 0.14, 0.16, 0.21, 0.21, 0.21, 0.19, 0.16, 0.11, 
##     0.02, -0.05, -0.21, -0.27, -0.32, -0.37, -0.22, -0.14, -0.06, 
##     0.03, 0.11, 0.29, 0.27, 0.06, 0.03, 0.02, 0.1, 0.11, 0.13, 
##     0.14, 0.16, 0.14, 0.13, 0.11, 0.11, 0.13, 0.14, 0.16, 0.13, 
##     0.16, 0.16, 0.18, 0.18, 0.19, 0.14, 0.13, 0.19, 0.19, 0.19, 
##     0.22, 0.21, 0.21, 0.19, 0.19, 0.13, 0.16, 0.19, 0.18, 0.16, 
##     0.11, 0.1, 0.08, 0.1, 0.1, 0.08, 0.08, 0.1, 0.16, 0.19, 0.22, 
##     0.24, 0.24, 0.13, 0.14, 0.18, 0.18, 0.18, 0.16, 0.14, 0.14, 
##     0.13, 0.11, 0.14, 0.22, 0.22, 0.21, 0.19, 0.19, 0.18, 0.16, 
##     0.13, 0.16, 0.14, 0.14, 0.13, 0.11, 0.11, 0.11, 0.11, 0.13, 
##     0.14, 0.14, 0.16, 0.14, 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 
##     0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.06, 0.05, 0.05, 0.03, 0.02, 
##     0.02, 0.03, 0.13, 0.11, 0.08, 0.1, 0.14, 0.03, 0, -0.02, 
##     -0.02, 0.1, 0.06, 0.06, 0.03, 0.02, 0.02, 0, -0.02, 0, 0.05, 
##     0, 0, -0.11, -0.08, -0.06, -0.02, -0.11, 0.16, 0.16, 0.21, 
##     0.16, 0.18, 0.14, 0.08, 0.05, 0.16, 0.13, 0.13, 0.16, 0.14, 
##     0.16, 0.26, 0.24, 0.24, 0.22, 0.26, 0.27, 0.26, 0.29, 0.21, 
##     0.16, 0.1, 0.16, 0.14, 0.16, 0.13, 0.22, 0.42, 0.47, 0.59, 
##     0.56, 0.59, 0.59, 0.5, 0.5, 0.29, 0.31, 0.27, 0.22, 0.18, 
##     0.08, -0.05, -0.02, 0.02, 0, -0.03, -0.11, -0.06, -0.06, 
##     -0.03, 0, -0.03, -0.06, -0.05, -0.05, 0.02, 0.08, 0.05, 0.03, 
##     0.08, 0.13, 0.13, 0.11, 0.13, 0.14, 0.16, 0.14, 0.11, 0.05, 
##     0.11, 0.08, 0.1, 0.16, 0.16, 0.14, 0.14, 0.18, 0.24, 0.32, 
##     0.34, 0.34, 0.32, 0.29, 0.29, 0.24, 0.21, 0.22, 0.22, 0.27, 
##     0.27, 0.26, 0.27, 0.26, 0.26, 0.29, 0.29, 0.32, 0.37, 0.47, 
##     0.45, 0.45, 0.43, 0.4, 0.37, 0.35, 0.29, 0.27, 0.27, 0.26, 
##     0.22, 0.22, 0.22, 0.24, 0.27, 0.24, -0.03, -0.03, -0.02, 
##     0.16, 0.14, 0.13, 0.05, -0.1, -0.08, -0.13, -0.06, 0, 0.18, 
##     0.13, 0.11, 0.13, 0.13, 0.13, 0.1, 0.11, 0.16, 0.19, 0.13, 
##     0.08, 0.14, 0.1, 0.11, 0.24, 0.21, 0.27, 0.31, 0.34, 0.34, 
##     0.31, 0.29, 0.31, 0.31, 0.29, 0.26, 0.22, 0.21, 0.24, 0.26, 
##     0.35, 0.42, 0.45, 0.51, 0.59, 0.58, 0.56, 0.47, 0.27, 0.26, 
##     0.08, 0.05, 0.08, 0.1, 0.08, 0.05, 0, -0.11, -0.18, -0.18, 
##     -0.08, -0.1, -0.13, -0.06, -0.02, 0, 0.06, 0.03, 0.02, 0.02, 
##     0.02, 0.02, 0, 0.06, 0.02, 0.02, 0.02, -0.06, -0.13, -0.05, 
##     -0.06, -0.1, -0.16, -0.06, 0.08, 0.08, 0.16, 0.16, 0.16, 
##     0.18, 0.14, 0.14, 0.14, 0.21, 0.14, 0.16, 0.21, 0.26, 0.26, 
##     0.24, 0.27, 0.37, 0.35, 0.29, 0.21, 0.24, 0.24, 0.22, 0.22, 
##     0.24, 0.27, 0.29, 0.24, 0.22, 0.26, 0.32, 0.42, 0.47, 0.45, 
##     0.4, 0.35, 0.34, 0.37, 0.32, 0.29, 0.29, 0.27, 0.24, 0.21, 
##     0.18, 0.18, 0.14, 0.13, -0.05, -0.06, -0.06, -0.05, -0.05, 
##     -0.06, -0.05, -0.05, -0.06, -0.05, -0.02, 0, 0, 0, 0.06, 
##     0.11, 0.13, 0.18, 0.08, 0.1, 0.11, 0.02, -0.02, -0.03, -0.02, 
##     0.02, 0.16, 0.16, 0.13, 0, 0, 0.03, 0.08, 0.08, 0.1, 0.18, 
##     0.18, 0.18, 0.11, 0.11, 0.1, 0.1, 0.11, 0.14, 0.13, 0.08, 
##     0.13, 0.08, 0.11, 0.13, 0.21, 0.27, 0.26, 0.26, 0.27, 0.24, 
##     0.14, 0.14, 0.13, 0.16, 0.1, 0.14, 0.14, 0.06, 0.19, 0.42, 
##     0.45, 0.48, 0.45, 0.47, 0.43, 0.43, 0.42, 0.37, 0.31, 0.27, 
##     0.26, 0.19, 0.18, 0.14, 0.14, 0.14, 0.14, 0.14, -0.03, 0.11, 
##     0.08, 0.1, 0.14, 0.1, 0.14, 0.14, 0.18, 0.29, 0.34, 0.29, 
##     0.16, 0.18, 0.19, 0.21, 0.18, 0.18, 0.16, 0.14, 0.13, 0.22, 
##     0.39, 0.4, 0.4, 0.43, 0.43, 0.43, 0.35, 0.39, 0.39, 0.35, 
##     0.35, 0.32, 0.29, 0.24, 0.22, 0.24, 0.26, 0.21, 0.18, 0.18, 
##     0.19, 0.14, 0.13, 0.13, 0.1, 0.11, 0.11, 0.08, 0.03, 0.02, 
##     0, -0.08, -0.11, -0.06, -0.1, -0.06, -0.03, -0.05, 0, 0.06, 
##     0.03, -0.02, 0.05, 0.02, 0.05, 0.08, 0.02, 0.05, 0.06, 0.06, 
##     0.05, 0.02, 0, 0, 0, 0.03, 0.06, 0.1, 0.13, 0.13, 0.11, 0.08, 
##     0.06, 0.1, 0.18, 0.24, 0.26, 0.26, 0.18, 0.16, 0.13, 0.1, 
##     0.08, 0.08, 0.03, -0.02, -0.02, -0.05, -0.08, -0.08, -0.08, 
##     -0.08, -0.1, -0.08, -0.08, -0.08, -0.13, -0.16, -0.11, -0.02, 
##     0.02, 0.02, 0.1, 0.13, 0.08, 0.05, 0.13, 0.06, 0.13, 0.16, 
##     0.14, 0.13, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.06, 0.13, 0.19, 0.19, 0.26, 0.16, 0.1, 0.02, 
##     0.34, 0.26, 0.16, 0.14, 0.19, 0.26, 0.34, 0.4, 0.34, 0.42, 
##     0.1, 0.16, 0, -0.03, -0.1, 0.1, -0.03, 0.13, 0.08, 0.05, 
##     0.13, 0.03, 0.05, 0.18, 0.18, 0.1, 0.02, 0.05, 0.31, 0.34, 
##     0.29, 0.11, 0.1, 0.06, 0.11, 0.16, 0.19, 0.18, 0.14, 0.14, 
##     0.13, 0.11, 0.14, 0.18, 0.34, 0.35, 0.06, 0.02, 0.02, -0.05, 
##     -0.03, -0.13, -0.1, -0.06, -0.02, -0.05, -0.06, -0.08, -0.13, 
##     -0.13, -0.1, -0.05, 0.03, 0.11, 0.26, 0.39, 0.45, 0.47, 0.29, 
##     0.19, 0.14, 0.14, 0.18, 0.19, 0.08, 0.08, 0.18, 0.34, 0.66, 
##     0.51, 0.48, 0.48, 0.35, 0.24, 0.37, 0.27, 0.42, 0.31, 0.1, 
##     0.19, 0.24, 0.18, 0.14, 0.06, 0.06, 0, -0.08, -0.13, -0.03, 
##     0.24, 0.24, 0.16, 0.13, 0.14, 0.11, 0.14, 0.1, 0.08, 0.06, 
##     0.03, 0.1, 0.27, 0.29, 0.18, 0.14, 0.11, 0.1, 0.08, 0.03, 
##     0.05, 0.05, 0.03, 0.02, 0, 0.02, 0.05, 0.08, 0.05, 0.1, 0.13, 
##     0.1, 0.13, 0.11, -0.05, 0.02, 0.06, 0.22, 0.08, 0.19, 0.21, 
##     0.34, 0.39, 0.34, 0.21, 0.21, 0.27, 0.27, 0.19, 0.08, 0.08, 
##     0.08, 0.06, 0.13, 0.16, 0.21, 0.43, 0.47, 0.37, 0.27, 0.22, 
##     0.19, 0.13, 0.06, 0, -0.11, -0.16, -0.18, -0.21, -0.21, -0.19, 
##     -0.21, -0.1, -0.1, 0.34, 0.35, 0.37, 0.4, 0.34, 0.08, 0.03, 
##     0.16, 0.13, 0.08, 0.11, 0.32, 0.4, 0.47, 0.47, 0.37, 0.37, 
##     0.35, 0.26, 0.26, 0.22, 0.19, 0.18, 0.14, 0.1, 0.1, 0.1, 
##     0.06, 0.11, 0.13, 0.13, 0.14, 0.31, 0.37, 0.37, 0.21, 0.14, 
##     0.21, 0.19, 0.16, 0.11, -0.13, -0.13, -0.06, -0.11, -0.1, 
##     -0.03, 0.16, 0.21, 0.22, 0.24, 0.31, 0.21, 0.03, 0.21, 0.18, 
##     0.43, 0.43, 0.45, 0.42, 0.35, 0.29, 0.32, 0.42, 0.37, 0.03, 
##     0.13, 0.26, 0.03, 0.05, 0.16, 0.21, 0.1, 0.13, 0.22, 0.26, 
##     0.24, 0.31, 0.16, 0.1, 0.18, 0.1, 0.08, 0.19, 0.13, 0.19, 
##     0.14, 0.14, 0.21, 0.14, 0.13, 0.11, 0.1, 0.08, 0.1, 0.32, 
##     0.5, 0.63, 0.31, 0.29, 0.29, 0.24, 0.1, 0.05, 0.08, 0.16, 
##     0.18, 0.21, 0.24, 0.13, 0.03, -0.02, 0.02, 0.14, 0.11, 0.11, 
##     0.08, 0.1, 0.06, 0.08, 0.11, 0.11, 0.1, 0.08, 0.11, 0.08, 
##     0.08, 0.14, 0.11, 0.11, 0.24, 0.22, 0, 0.26, 0.43, 0.21, 
##     0.26, 0.31, 0.24, 0.21, 0.11, 0.11, -0.02, 0.05, 0.03, -0.08, 
##     0.16, 0.16, 0.1, 0.14, 0.19, 0.08, 0.03, -0.02, -0.02, -0.02, 
##     0.18, 0.26, 0.39, 0.53, 0.58, 0.48, 0.45, 0.5, 0.55, 0.53, 
##     0.48, 0.35, 0.31, 0.16, 0.05, 0.03, 0.02, 0.05, 0.24, 0.11, 
##     0.08, 0.08, 0.08, 0.16, 0.27, 0.14, 0.1, 0.05, -0.24, -0.45, 
##     -0.43, -0.4, -0.37, -0.29, -0.06, 0.13, 0.43, 0.42, 0.34, 
##     0.24, 0.26, 0.32, 0.37, 0.4, 0.39, 0.31, 0.31, 0.08, 0.18, 
##     0.51, 0.5, 0.5, 0.48, 0.37, 0.11, 0.08, 0.02, -0.16, -0.19, 
##     -0.14, -0.13, -0.11, -0.06, -0.03, -0.11, -0.05, 0.05, 0.26, 
##     0.31, 0.31, 0.29, 0.29, 0.29, 0.29, 0.34, 0.34, 0.27, 0.14, 
##     0.18, 0.16, 0.16, 0.16, 0.14, 0.14, 0.13, 0.13, 0.14, 0.18, 
##     0.16, 0.18, 0.19, 0.18, 0.19, 0.19, 0.19, 0.18, 0.18, 0.18, 
##     0.16, 0.16, 0.16, 0.16, 0.19, 0.21, 0.21, 0.19, 0.18, 0.16, 
##     0.16, 0.18, 0.16, 0.16, 0.16, 0.18, 0.19, 0.19, 0.29, 0.27, 
##     0.18, 0.11, 0.11, 0.13, 0.13, 0.18, 0.22, 0.24, 0.32, 0.34, 
##     0.24, 0.18, 0.13, 0.13, 0.26, 0.29, 0.26, 0.22, -0.18, -0.29, 
##     -0.34, -0.56, -0.71, -0.87, -0.83, -0.87, -1.06, -1.2, -1.27, 
##     -1.36, -1.54, -1.41, -1.32, -1.19, -0.9, -0.79, -0.63, -0.4, 
##     -0.37, -0.02, 0.24, 0.42, 0.71, 0.75, 1.4, 1.54, 1.78, 1.73, 
##     1.32, 1.35, 1.03, 1, 1.06, 0.93, 0.43, 0.4, 0.16, 0.16, 0.39, 
##     0.42, 0.4, 0.32, 0.31, 0.35, 0.39, 0.31, 0.19, 0.21, 0.19, 
##     0.19, 0.21, 0.22, 0.21, 0.16, -0.22, -0.39, -0.53, -0.77, 
##     -0.98, -1.16, -1.38, -1.48, -1.48, -1.69, -1.72, 0.32, 0.32, 
##     0.34, 0.35, 0.34, 0.35, 0.35, 0.34, 0.37, 0.37, 0.37, 0.37, 
##     0.34, 0.35, 0.34, 0.32, 0.34, 0.34, 0.34, 0.37, 0.35, 0.35, 
##     0.37, 0.37, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 
##     0.35, 0.34, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.34, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.37, 
##     0.35, 0.35, 0.37, 0.35, 0.35, 0.35, 0.35, 0.35, 0.34, 0.34, 
##     0.34, 0.34, 0.34, 0.34, 0.35, 0.35, 0.35, 0.34, 0.35, 0.35, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.37, 0.35, 0.37, 0.37, 0.37, 
##     0.39, 0.39, 0.37, 0.37, 0.37, 0.37, 0.37, 0.37, 0.37, 0.37, 
##     0.37, 0.35, 0.39, 0.37, 0.35, 0.35, 0.32, 0.32, 0.32, 0.32, 
##     0.32, 0.32, 0.32, 0.34, 0.32, 0.34, 0.34, 0.34, 0.35, 0.35, 
##     0.35, 0.34, 0.34, 0.35, 0.35, 0.35, 0.34, 0.35, 0.35, 0.34, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 
##     0.35, 0.35, 0.34, 0.35, 0.34, 0.34, 0.34, 0.34, 0.34, 0.35, 
##     0.35, 0.34, 0.34, 0.35, 0.35, 0.35, 0.35, 0.34, 0.34, 0.35, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.37, 0.35, 0.35, 0.35, 0.37, 
##     0.35, 0.34, 0.35, 0.34, 0.35, 0.35, 0.34, 0.32, 0.34, 0.34, 
##     0.34, 0.35, 0.37, 0.37, 0.35, 0.34, 0.35, 0.35, 0.34, 0.34, 
##     0.34, 0.34, 0.34, 0.34, 0.35, 0.35, 0.35, 0.31, 0.31, 0.32, 
##     0.34, 0.35, 0.35, 0.35, 0.34, 0.37, 0.35, 0.35, 0.35, 0.34, 
##     0.34, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.32, 0.34, 
##     0.34, 0.29, 0.19, 0.16, 0.18, 0.21, 0.26, 0.42, 0.55, 0.72, 
##     0.58, 0.47, 0.34, 0.32, 0.35, 0.29, 0.29, 0.32, 0.32, 0.27, 
##     0.31, 0.32, 0.29, 0.31, 0.14, 0.08, 0.06, 0.4, 0.4, 0.51, 
##     0.55, 0.43, 0.39, 0.32, 0.13, 0.22, 0.35, 0.37, 0.34, 0.35, 
##     0.35, 0.34, 0.34, 0.39, 0.37, 0.37, 0.37, 0.37, 0.35, 0.37, 
##     0.35, 0.34, 0.35, 0.37, 0.37, 0.37, 0.35, 0.35, 0.35, 0.35, 
##     0.35, 0.35, 0.37, 0.39, 0.37, 0.37, 0.39, 0.35, 0.34, 0.35, 
##     0.35, 0.32, 0.34, 0.32, 0.31, 0.27, 0.29, 0.4, 0.39, 0.32, 
##     0.31, 0.32, 0.32, 0.32, 0.32, 0.32, 0.34, 0.35, 0.35, 0.35, 
##     0.35, 0.35, 0.37, 0.35, 0.35, 0.35, 0.35, 0.35, 0.37, 0.35, 
##     0.35, 0.35, 0.35, 0.34, 0.35, 0.35, 0.35, 0.34, 0.34, 0.35, 
##     0.34, 0.34, 0.34, 0.35, 0.35, 0.35, 0.37, 0.37, 0.35, 0.34, 
##     0.32, 0.4, 0.43, 0.42, 0.34, 0.34, 0.34, 0.37, 0.37, 0.35, 
##     0.37, 0.34, -0.16, -0.13, -0.1, -0.05, -0.03, -0.05, -0.05, 
##     -0.05, -0.06, -0.11, -0.16, -0.16, -0.16, -0.19, -0.21, -0.27, 
##     -0.27, -0.26, -0.24, -0.16, -0.14, -0.11, -0.05, -0.02, -0.02, 
##     -0.02, 0.05, 0.02, -0.02, 0.03, 0.03, 0, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0, 0.02, 0.02, -0.03, -0.03, -0.03, 0, 0.02, 
##     0.03, 0.03, 0.03, 0.02, -0.05, -0.16, -0.16, -0.14, -0.13, 
##     -0.1, 0, 0, 0, 0, -0.02, -0.02, -0.02, 0.03, 0.03, 0.02, 
##     0.03, 0.08, 0.13, 0.26, 0.31, 0.31, 0.31, 0.31, 0.34, 0.34, 
##     0.31, 0.31, 0.27, 0.19, 0.06, -0.02, -0.02, 0, 0.02, 0.03, 
##     -0.05, -0.14, -0.24, -0.24, -0.24, -0.27, -0.26, -0.24, -0.22, 
##     -0.22, -0.21, -0.22, -0.26, -0.26, -0.18, -0.11, -0.11, -0.06, 
##     -0.02, -0.02, -0.05, -0.02, 0.06, 0.02, 0.06, 0.08, 0.02, 
##     0.02, -0.03, -0.08, -0.11, -0.06, -0.02, -0.02, -0.02, -0.02, 
##     0.03, 0.08, 0.03, -0.13, 0.06, 0.02, 0, 0, 0.05, 0.03, 0, 
##     0, 0, 0.02, 0.03, 0.03, 0.03, 0.05, 0.06, 0.06, 0.11, 0.11, 
##     0.31, 0.34, 0.43, 0.43, 0.4, 0.35, 0.19, 0.05, -0.06, -0.08, 
##     -0.1, -0.11, -0.18, -0.22, -0.26, -0.31, -0.34, -0.31, -0.34, 
##     -0.29, -0.29, -0.19, -0.03, 0.02, -0.03, 0.03, 0.03, 0, 0.05, 
##     0.06, -0.1, -0.08, -0.06, -0.1, -0.11, -0.08, 0, 0.02, 0.02, 
##     -0.11, -0.02, 0.05, 0.05, 0.02, 0, 0, 0, 0.03, 0.02, 0.03, 
##     0.02, -0.02, 0, 0.02, 0.05, 0.03, 0.08, 0.1, 0.13, 0.14, 
##     0.18, 0.24, 0.32, 0.39, 0.47, 0.5, 0.5, 0.45, 0.37, 0.13, 
##     0.06, -0.06, -0.06, -0.08, -0.13, -0.13, -0.16, -0.24, -0.32, 
##     -0.27, -0.31, -0.27, -0.29, -0.18, -0.19, -0.19, -0.13, -0.06, 
##     0, 0.11, 0.05, 0, 0.08, 0.03, -0.06, -0.14, -0.06, -0.06, 
##     0, 0.03, -0.16, -0.11, -0.08, -0.02, 0.06, -0.02, -0.1, -0.06, 
##     -0.02, 0.05, 0.06, 0.03, 0, 0, 0.02, 0.03, 0, -0.05, -0.03, 
##     -0.03, -0.02, 0, 0.1, 0.16, 0.27, 0.32, 0.42, 0.47, 0.48, 
##     0.51, 0.55, 0.48, 0.29, 0.22, -0.03, -0.05, -0.03, -0.18, 
##     -0.24, -0.24, -0.31, -0.34, -0.29, -0.11, -0.11, -0.06, -0.08, 
##     -0.06, -0.03, 0.02, 0.06, 0, -0.02, 0.08, 0.11, 0.05, -0.02, 
##     -0.1, -0.16, -0.14, -0.1, -0.06, -0.02, 0.05, 0.05, 0.03, 
##     0.02, 0, -0.05, -0.11, 0.02, 0.05, 0.05, 0.06, 0.1, 0.06, 
##     -0.03, -0.03, 0.03, 0.06, 0.11, 0.14, 0.22, 0.34, 0.35, 0.37, 
##     0.37, 0.37, 0.29, 0.13, -0.02, -0.13, -0.18, -0.32, -0.32, 
##     -0.34, -0.31, -0.29, -0.27, -0.18, -0.11, -0.13, -0.1, 0.03, 
##     0.05, 0.02, 0.03, 0.16, 0.06, 0, 0.03, 0.02, 0, -0.05, -0.03, 
##     0, 0.03, -0.1, -0.08, -0.05, -0.05, -0.03, 0, 0.02, -0.13, 
##     -0.14, -0.03, 0.05, 0.06, 0.05, 0.03, 0, -0.03, -0.03, 0, 
##     0.16, 0.26, 0.26, 0.42, 0.45, 0.5, 0.47, 0.45, 0.4, 0.32, 
##     0.21, 0.11, -0.03, -0.1, -0.1, -0.4, -0.45, -0.42, -0.43, 
##     -0.32, -0.27, -0.14, -0.1, -0.06, -0.05, -0.05, -0.02, 0.02, 
##     0.02, 0, 0.05, 0, 0.03, 0.06, 0.08, 0.05, -0.08, -0.05, -0.03, 
##     -0.06, -0.06, -0.03, -0.02, 0, 0.02, 0, -0.02, -0.06, -0.13, 
##     -0.06, -0.05, -0.02, 0, 0.03, 0.03, 0.06, 0.02, -0.03, -0.02, 
##     0.02, 0.02, 0, 0.08, 0.31, 0.35, 0.48, 0.48, 0.22, -0.18, 
##     -0.35, -0.37, -0.14, -0.08, 0.03, 0.1, 0.05, -0.02, -0.02, 
##     -0.02, 0, 0.03, 0.06, 0.02, 0.06, 0.14, 0.19, 0.26, 0.32, 
##     0.32, 0.37, 0.4, 0.42, 0.47, 0.37, 0.27, 0.14, -0.11, -0.11, 
##     -0.08, -0.06, -0.03, -0.39, -0.43, -0.39, -0.37, -0.32, -0.27, 
##     -0.22, -0.13, -0.08, -0.14, -0.08, -0.1, -0.08, -0.1, -0.08, 
##     0, 0.11, 0.31, 0.22, 0.13, -0.1, -0.14, -0.13, -0.1, -0.06, 
##     -0.06, -0.05, -0.05, -0.03, -0.03, 0.02, 0.02, -0.05, -0.13, 
##     -0.13, -0.08, -0.02, 0.03, 0.03, 0.03, 0.05, 0.11, 0.03, 
##     0.03, 0, -0.02, 0.02, 0, 0, -0.03, -0.02, 0.06, 0.1, 0.16, 
##     0.34, 0.42, 0.43, 0.42, 0.43, 0.45, 0.45, 0.37, 0.26, 0.13, 
##     -0.06, -0.03, -0.02, -0.05, -0.05, 0, -0.1, -0.21, -0.22, 
##     -0.26, -0.27, -0.18, -0.16, -0.16, -0.1, -0.14, -0.13, -0.05, 
##     -0.1, -0.21, 0.03, -0.02, -0.16, 0.02, -0.08, -0.02, 0, -0.06, 
##     -0.06, -0.05, -0.06, -0.06, -0.03, 0, 0.02, 0.03, 0.03, 0.03, 
##     0.02, 0, -0.02, 0, -0.02, -0.02, 0.02, 0, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, 
##     0, 0, 0, 0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0.02, 
##     0.02, 0, 0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 
##     0, 0, -0.02, 0, 0, 0.37, 0.34, 0.35, 0.34, 0.35, 0.39, 0.34, 
##     0.35, 0.34, 0.39, 0.32, 0.35, 0.34, 0.34, 0.35, 0.39, 0.39, 
##     0.37, 0.34, 0.32, 0.35, 0.35, 0.35, 0.39, 0.34, 0.34, 0.42, 
##     0.34, 0.35, 0.35, 0.34, 0.35, 0.39, 0.37, 0.32, 0.32, 0.34, 
##     0.35, 0.37, 0.39, 0.39, 0.37, 0.35, 0.35, 0.35, 0.34, 0.34, 
##     0.34, 0.35, 0.34, 0.32, 0.32, 0.34, 0.34, 0.35, 0.34, 0.34, 
##     0.34, 0.34, 0.35, 0.34, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.34, 0.34, 0.35, 0.35, 0.35, 
##     0.35, 0.35, 0.35, 0.37, 0.37, 0.35, 0.37, 0.37, 0.35, 0.35, 
##     0.34, 0.34, 0.34, 0.34, 0.34, 0.35, 0.35, 0.34, 0.39, 0.35, 
##     0.34, 0.32, 0.34, 0.35, 0.35, 0.35, 0.34, 0.35, 0.35, 0.35, 
##     0.35, 0.34, 0.34, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 
##     0.34, 0.35, 0.34, 0.34, 0.35, 0.35, 0.35, 0.34, 0.34, 0.34, 
##     0.35, 0.35, 0.34, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.37, 0.35, 
##     0.35, 0.35, 0.34, 0.34, 0.35, 0.31, 0.32, 0.35, 0.34, 0.34, 
##     0.37, 0.37, 0.34, 0.32, 0.32, 0.31, 0.31, 0.31, 0.31, 0.31, 
##     0.32, 0.34, 0.37, 0.37, 0.37, 0.35, 0.39, 0.4, 0.42, 0.43, 
##     0.4, 0.37, 0.34, 0.35, 0.34, 0.32, 0.32, 0.32, 0.32, 0.35, 
##     0.39, 0.39, 0.37, 0.39, 0.37, 0.35, 0.35, 0.31, 0.32, 0.34, 
##     0.29, 0.31, 0.32, 0.39, 0.34, 0.32, 0.31, 0.31, 0.31, 0.32, 
##     0.29, 0.29, 0.32, 0.34, 0.32, 0.32, 0.35, 0.35, 0.37, 0.39, 
##     0.37, 0.39, 0.34, 0.35, 0.35, 0.34, 0.34, 0.35, 0.34, 0.34, 
##     0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 0.37, 0.35, 0.37, 
##     0.37, 0.37, 0.35, 0.35, 0.4, 0.4, 0.37, 0.4, 0.42, 0.34, 
##     0.43, 0.42, 0.34, 0.37, 0.32, 0.35, 0.35, 0.34, 0.34, 0.35, 
##     0.37, 0.37, 0.37, 0.37, 0.35, 0.34, 0.35, 0.35, 0.35, 0.35, 
##     0.34, 0.35, 0.35, 0.35, 0.35, 0.34, 0.35, 0.34, 0.34, 0.34, 
##     0.34, 0.32, 0.34, 0.34, 0.35, 0.34, 0.34, 0.35, 0.34, 0.35, 
##     0.37, 0.35, 0.37, 0.35, 0.37, 0.34, 0.35, 0.35, 0.35, 0.34, 
##     0.35, 0.34, 0.34, 0.34, 0.34, 0.34, 0.34, 0.34, 0.37, 0.35, 
##     0.35, 0.35, 0.35, 0.34, 0.35, 0.35, 0.35, 0.34, 0.35, 0.34, 
##     0.32, 0.35, 0.42, 0.45, 0.34, 0.31, 0.21, 0.13, 0.11, 0.18, 
##     0.29, 0.43, 0.34, 0.24, 0.26, 0.31, 0.32, 0.34, 0.31, 0.32, 
##     0.37, 0.35, 0.4, 0.79, 0.82, 0.79, 0.77, 0.79, 0.8, 0.61, 
##     0.59, 0.43, 0.32, 0.27, 0.21, 0.13, 0.06, 0.03, 0.13, -0.03, 
##     0.14, 0.14, 0.21, 0.27, 0.26, 0.34, 0.4, 0.22, 0.32, 0.26, 
##     0.34, 0.35, 0.34, 0.4, 0.47, 1, 0.53, 0.42, 0.43, 0.35, 0.19, 
##     0.03, -0.16, 0.19, 0.22, 0.24, 0.22, 0.16, 0.18, 0.27, 0.27, 
##     0.24, 0.24, 0.26, 0.31, 0.45, 0.63, 0.8, 0.82, 1, 1.04, 1.08, 
##     1.16, 1.09, 0.16, 0.02, -0.02, -0.06, -0.11, -0.13, -0.13, 
##     -0.21, 0.02, -0.13, 0.06, 0.08, 0.27, 0.31, 0.42, 0.5, 0.39, 
##     0.39, 0.39, 0.8, 0.55, 0.34, 0.11, 0.06, 0.16, 0.18, 0.11, 
##     0.06, 0.06, 0.08, 0.13, 0.18, 0.24, 0.31, 0.39, 0.39, 0.4, 
##     0.43, 0.45, 0.47, 0.71, 0.77, 1.22, 1.04, 0.5, 0.02, -0.06, 
##     -0.14, -0.14, -0.18, -0.21, -0.16, 0.03, 0.14, 0.13, 0.1, 
##     0.18, 0.22, 0.03, 0.1, 0.19, 0.51, 0.63, 0.45, 0.5, 0.58, 
##     0.96, 1.04, 0.98, 0.58, 0.22, -0.21, -0.18, 0.05, 0.08, 0.14, 
##     0.26, 0.34, 0.37, 0.5, 0.42, 0.4, 0.43, 0.48, 0.66, 0.72, 
##     0.82, 0.88, 0.92, 0.95, 0.96, 1, 0.9, 0.8, 0.5, 0.37, 0.27, 
##     0.19, 0.16, 0.1, 0.03, -0.08, -0.14, -0.13, -0.13, -0.08, 
##     -0.05, 0.1, 0.13, 0.05, 0.19, 0.31, 0.11, 0.16, 0.59, 0.67, 
##     0.79, 0.55, 0.61, 0.16, 0.02, -0.1, -0.13, -0.05, 0.21, 0.29, 
##     0.4, 0.48, 0.5, 0.51, 0.51, 0.58, 0.79, 0.92, 1.06, 1.12, 
##     1.45, 1.28, 1.03, 0.53, 0.22, 0.11, 0.02, -0.02, -0.11, -0.16, 
##     -0.18, -0.13, -0.06, -0.06, 0.13, 0.14, 0.32, 0.31, 0.27, 
##     0.22, 0.34, 0.47, 0.45, 0.4, 0.61, 0.77, 0.71, 0.66, 0.51, 
##     0.42, 0.02, 0, 0.14, 0.21, 0.27, 0.27, 0.19, 0.21, 0.37, 
##     0.37, 0.39, 0.42, 0.43, 0.5, 0.55, 0.59, 0.64, 0.74, 1.2, 
##     1.28, 1.32, 1.32, 1.08, 0.95, 0.8, 0.48, 0.1, -0.05, -0.08, 
##     -0.21, -0.08, -0.27, -0.06, -0.1, -0.1, 0.03, 0, -0.03, 0.1, 
##     0.1, 0.1, 0.19, 0.14, 0.16, 0.19, 0.27, 0.29, 0.55, 0.61, 
##     0.66, 0.72, 0.8, 0.75, 0.58, 0.37, 0.32, 0.43, 0.32, 0.08, 
##     0, 0.19, 0.24, 0.26, 0.22, 0.22, 0.29, 0.5, 0.51, 0.59, 0.66, 
##     1, 1.2, 0.93, 0.79, 0.08, 0.06, 0.05, -0.05, -0.22, -0.26, 
##     0.06, 0.05, 0.13, 0.18, 0.24, 0.27, 0.42, 0.27, 0.35, 0.35, 
##     0.4, 0.47, 0.56, 0.66, 0.79, 0.82, 0.72, 0.64, 0.61, 0.51, 
##     0.43, 0.29, 0.26, 0.21, 0.18, 0.13, 0.13, 0.1, 0.16, 0.24, 
##     0.26, 0.27, 0.27, 0.32, 0.43, 0.48, 0.51, 0.56, 0.71, 0.79, 
##     1.04, 1.22, 1.04, 0.87, 0.71, 0.56, 0.45, 0.32, 0.18, -0.11, 
##     -0.13, -0.19, -0.29, -0.29, -0.13, 0.06, 0.03, -0.02, 0.05, 
##     0.18, 0.29, 0.26, 0.32, 0.5, 0.35, 0.24, 0.24, 0.26, 0.22, 
##     0.37, 0.47, 0.61, 0.48, 0.32, 0.11, 0.21, 0.26, 0.27, 0.27, 
##     0.31, 0.37, 0.39, 0.42, 0.42, 0.45, 0.47, 0.48, 0.51, 0.55, 
##     0.66, 1.03, 1.12, 1.14, 1.12, 1.2, 0.77, 0.53, 0.11, 0.1, 
##     0.05, -0.21, 0.08, -0.02, 0.13, 0.21, 0.39, 0.32, 0.19, 0.16, 
##     0.31, 1.3, 1.22, 0.61, 0.56, -0.21, -0.06, 0.21, 0.22, 0.16, 
##     0.22, 0.27, 0.39, 0.42, 0.45, 0, 0, 0, 0.02, 0.02, 0.02, 
##     0.02, 0.05, 0.11, 0.11, 0.11, 0.11, 0.1, 0.06, 0.05, 0, 0, 
##     0, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 0.03, 0.05, 0.03, 0.03, 
##     0.02, 0.03, 0.05, 0.03, 0.1, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.13, 0.1, 0.05, 0.08, 0.22, 
##     0.22, 0.4, 0.42, 0.4, 0.4, 0.37, 0.37, 0.32, 0.24, 0.18, 
##     0.27, 0.26, 0.21, 0.18, 0.18, 0.16, 0.16, 0.16, 0.16, 0.16, 
##     0.24, 0.35, 0.34, 0.31, 0.29, 0.24, 0.21, 0.21, 0.18, 0.18, 
##     0.19, 0.19, 0.18, -0.05, -0.08, 0.1, 0, -0.05, -0.05, -0.03, 
##     0.03, 0.06, 0.03, 0.05, 0.06, 0.06, 0.08, 0.08, 0.08, 0.03, 
##     -0.06, -0.02, -0.02, 0.19, 0.13, 0.11, 0.08, 0.1, 0.08, 0.02, 
##     -0.02, -0.1, -0.13, -0.1, -0.13, -0.11, -0.06, -0.16, -0.03, 
##     0.06, -0.06, -0.03, 0.03, -0.06, 0.06, 0.03, -0.03, 0.03, 
##     0.03, -0.1, -0.02, -0.02, -0.02, 0, 0, 0.03, 0.05, 0.02, 
##     0.18, 0.14, 0.11, 0.06, 0.06, 0.08, -0.06, 0.21, 0.37, 0.51, 
##     0.51, 0.48, 0.45, 0.39, 0.16, 0.13, 0.13, 0.03, 0.03, -0.05, 
##     -0.02, 0.02, 0.05, 0.1, 0.14, 0.1, 0.11, 0.13, 0.02, -0.02, 
##     -0.02, -0.02, 0, 0.1, 0.08, 0.11, 0.16, 0.19, 0.19, 0.19, 
##     0.19, 0.13, 0.14, 0.14, 0.1, 0.06, 0.06, 0.05, 0.1, 0.1, 
##     0.1, 0.14, 0.18, 0.19, 0.19, 0.16, 0.1, 0.1, 0.1, 0.16, 0.21, 
##     0.27, 0.32, 0.22, 0.19, -0.08, -0.08, -0.08, -0.08, -0.06, 
##     -0.06, -0.08, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.05, 
##     -0.05, -0.05, -0.05, -0.03, -0.03, -0.06, -0.06, -0.05, -0.05, 
##     -0.05, -0.06, -0.08, -0.13, -0.14, -0.13, -0.1, -0.02, -0.05, 
##     -0.05, -0.05, -0.05, -0.08, -0.1, -0.11, -0.11, -0.11, -0.06, 
##     -0.06, -0.06, -0.08, -0.06, -0.06, -0.06, -0.08, -0.08, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.08, -0.1, 
##     -0.11, -0.13, -0.16, -0.18, -0.19, -0.21, -0.22, -0.24, -0.22, 
##     -0.18, -0.21, -0.19, -0.21, -0.24, -0.22, -0.19, -0.16, -0.16, 
##     -0.03, 0.05, 0.02, 0.02, 0.03, 0.08, 0.08, -0.02, -0.03, 
##     0.24, 0.26, 0.16, -0.06, -0.16, -0.37, -0.32, -0.21, -0.14, 
##     -0.1, -0.08, -0.08, -0.1, -0.03, 0.03, 0.03, -0.11, -0.16, 
##     -0.18, -0.13, -0.11, -0.08, -0.1, -0.1, -0.1, -0.1, -0.11, 
##     -0.11, -0.11, -0.11, -0.06, -0.05, -0.03, -0.06, -0.06, -0.05, 
##     -0.03, -0.02, -0.03, -0.03, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, -0.05, -0.05, -0.06, -0.06, -0.05, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.05, -0.06, -0.06, -0.06, -0.11, 
##     -0.1, -0.06, -0.05, -0.02, -0.02, -0.11, -0.16, -0.18, -0.19, 
##     -0.21, -0.22, -0.26, -0.27, -0.26, -0.26, -0.24, -0.21, -0.18, 
##     -0.14, -0.08, 0, -0.02, -0.02, -0.02, -0.02, -0.1, -0.22, 
##     -0.31, -0.42, -0.39, -0.31, -0.31, -0.32, -0.29, -0.08, 0.05, 
##     0.29, 0.37, 0.4, -0.03, -0.21, -0.22, -0.24, -0.32, -0.42, 
##     -0.43, -0.14, -0.03, -0.06, -0.06, -0.08, -0.1, -0.1, -0.1, 
##     -0.03, -0.03, 0.02, 0.06, 0.08, -0.02, -0.18, -0.08, -0.06, 
##     -0.05, -0.03, -0.03, -0.06, -0.03, -0.06, -0.06, -0.06, -0.08, 
##     -0.06, -0.08, -0.08, -0.1, -0.11, -0.11, -0.1, -0.1, -0.1, 
##     -0.11, -0.11, -0.11, -0.14, -0.06, -0.02, 0.02, 0.03, -0.02, 
##     -0.03, -0.05, -0.06, -0.03, 0.03, 0.1, 0.11, 0.18, 0.19, 
##     0.29, 0.35, 0.39, 0.4, 0.37, 0.39, 0.42, 0.42, 0.32, 0.24, 
##     0.16, 0.06, -0.05, -0.08, -0.11, -0.18, -0.19, -0.19, -0.34, 
##     -0.35, -0.05, -0.13, -0.13, -0.13, -0.11, -0.1, -0.06, -0.06, 
##     -0.11, -0.11, -0.13, -0.05, -0.03, -0.02, 0.08, 0.13, 0.16, 
##     0.22, 0.21, 0.31, 0.37, 0.45, 0.51, 0.55, 0.11, -0.03, -0.11, 
##     -0.13, -0.13, -0.18, -0.13, -0.11, -0.14, -0.18, -0.18, -0.18, 
##     -0.19, -0.22, -0.19, -0.11, -0.1, -0.05, -0.03, -0.03, -0.05, 
##     -0.06, -0.03, 0.05, 0.05, -0.16, -0.1, -0.1, -0.06, -0.02, 
##     -0.02, -0.02, 0.1, 0.13, 0.11, 0.1, 0.1, 0.1, 0.1, 0.08, 
##     0.31, 0.42, 0.24, 0.21, 0.29, 0.27, 0.22, 0.34, 0.34, 0.29, 
##     0.22, 0.05, -0.14, -0.29, -0.31, -0.37, -0.35, -0.35, -0.37, 
##     -0.35, -0.34, -0.35, -0.35, -0.39, -0.42, -0.4, -0.27, -0.24, 
##     -0.27, -0.16, -0.27, -0.26, -0.18, -0.13, -0.11, -0.1, -0.11, 
##     -0.13, -0.13, -0.18, -0.06, -0.02, -0.03, -0.06, -0.13, -0.1, 
##     -0.06, -0.03, -0.02, -0.03, 0, -0.08, -0.05, 0, -0.02, 0, 
##     0.02, 0.06, 0.05, 0.06, 0.11, 0.16, 0.14, 0.18, 0.21, 0.18, 
##     0.18, 0.16, 0.14, 0.16, 0.27, 0.31, 0.35, 0.35, 0.29, 0.27, 
##     0.21, 0, -0.1, -0.05, -0.11, -0.13, -0.08, -0.14, -0.1, -0.08, 
##     -0.08, -0.13, -0.08, -0.11, -0.08, -0.03, -0.03, -0.05, -0.06, 
##     -0.06, -0.05, -0.03, -0.03, 0.03, 0.05, 0.03, -0.03, -0.05, 
##     -0.08, -0.1, -0.08, -0.06, 0.08, 0.08, 0.1, 0.18, 0.18, 0.19, 
##     0.42, 0.22, 0.27, 0.26, 0.19, 0.14, 0.14, 0.13, 0.08, 0.05, 
##     0.02, -0.16, -0.11, -0.06, -0.08, -0.14, -0.14, -0.1, -0.13, 
##     -0.16, -0.21, -0.11, -0.13, -0.13, -0.13, -0.06, -0.03, -0.05, 
##     -0.05, -0.02, -0.06, -0.06, -0.08, -0.1, -0.16, -0.14, -0.13, 
##     -0.13, -0.06, 0, 0, -0.02, 0.02, 0.08, 0.1, 0.11, 0.13, 0.16, 
##     0.19, 0.13, 0.18, 0.26, 0.27, 0.21, 0.18, 0.19, 0.19, 0.19, 
##     0.08, 0.05, 0.03, -0.02, -0.05, -0.06, -0.11, -0.24, -0.27, 
##     -0.32, -0.32, -0.31, -0.34, -0.32, -0.32, -0.32, -0.31, -0.29, 
##     -0.27, -0.29, -0.24, -0.24, -0.26, -0.19, -0.13, -0.06, -0.06, 
##     -0.11, -0.1, -0.08, -0.11, -0.13, -0.18, -0.37, -0.27, -0.14, 
##     -0.05, -0.02, -0.05, 0.02, 0.03, -0.08, -0.06, 0.02, 0.03, 
##     -0.1, -0.06, 0.02, 0.03, 0.11, 0.1, 0.11, 0.16, 0.19, 0.19, 
##     0.18, 0.16, 0.22, 0.22, 0.21, 0.19, 0.16, 0.11, 0.05, 0.02, 
##     -0.03, -0.08, -0.18, -0.21, -0.26, -0.26, -0.27, -0.29, -0.27, 
##     -0.29, -0.32, -0.37, -0.34, -0.37, -0.14, -0.29, -0.21, -0.26, 
##     -0.1, -0.16, -0.13, -0.1, -0.06, -0.05, -0.16, -0.16, -0.13, 
##     -0.19, -0.18, -0.21, -0.19, -0.16, -0.16, -0.16, -0.18, 0.11, 
##     0.05, -0.06, -0.1, -0.03, 0.03, 0.03, 0.02, 0.02, 0, -0.05, 
##     -0.03, 0.02, 0.11, 0.13, 0.18, 0.19, 0.24, 0.27, 0.27, 0.24, 
##     0.22, 0.22, 0.26, 0.21, 0.21, 0.21, 0.18, 0.18, 0.18, 0.19, 
##     0.14, 0.03, 0.02, -0.02, -0.02, -0.11, -0.16, -0.18, -0.21, 
##     -0.29, -0.29, -0.31, -0.31, -0.32, -0.26, -0.27, -0.22, -0.27, 
##     -0.32, -0.26, -0.27, -0.26, -0.27, -0.27, -0.27, -0.27, -0.22, 
##     -0.22, -0.19, -0.14, -0.14, -0.13, -0.1, -0.1, -0.03, 0.02, 
##     0.05, 0.03, -0.13, -0.14, -0.1, -0.11, -0.13, -0.11, -0.06, 
##     -0.06, -0.06, -0.08, -0.08, -0.11, -0.11, -0.08, -0.13, -0.1, 
##     -0.08, -0.06, -0.06, -0.05, -0.08, 0.14, -0.03, 0.03, 0.05, 
##     -0.02, -0.05, -0.08, -0.16, -0.21, -0.21, -0.19, -0.18, -0.21, 
##     -0.18, -0.27, -0.29, -0.34, -0.32, -0.29, -0.27, -0.26, -0.26, 
##     -0.21, -0.18, -0.14, -0.16, -0.18, -0.16, -0.08, -0.03, -0.03, 
##     0, 0.02, -0.06, -0.11, -0.05, -0.06, -0.13, -0.1, -0.08, 
##     -0.14, -0.16, -0.18, -0.19, -0.14, -0.11, -0.13, -0.13, -0.22, 
##     -0.18, -0.18, 0.11, -0.02, -0.03, -0.02, 0.02, 0.08, 0.08, 
##     0.05, 0.03, 0.02, 0, -0.02, 0.08, 0.1, 0.13, 0.05, 0.08, 
##     0.13, 0.13, 0.16, 0.14, 0.16, 0.18, 0.22, 0.26, 0.19, 0.19, 
##     0.26, 0.24, 0.26, 0.26, 0.31, 0.27, 0.22, 0.19, 0.19, 0.18, 
##     0.18, 0.14, 0.1, 0.27, 0.43, 0.45, 0.47, 0.45, 0.42, 0.4, 
##     0.39, 0.35, 0.34, 0.32, 0.4, 0.4, 0.27, 0.24, 0.21, 0.16, 
##     0.11, 0.1, 0.06, 0.03, 0.05, 0, -0.05, 0.03, 0, -0.03, 0.05, 
##     0.03, -0.02, 0.03, 0.05, 0.05, 0.02, -0.02, -0.05, -0.06, 
##     0.02, 0.05, 0.06, 0.13, 0.16, 0.13, 0.11, 0.03, 0.02, 0.03, 
##     0.08, 0.06, 0.02, 0.02, 0.03, 0.14, 0.21, 0.29, -0.02, 0.05, 
##     0.19, 0.18, 0.19, 0.19, 0.14, 0.03, 0.11, -0.06, -0.06, -0.02, 
##     -0.02, 0, 0, 0.02, 0.05, 0.1, 0.21, 0.26, 0.26, 0.27, 0.26, 
##     0.24, 0.24, 0.26, 0.26, 0.21, 0.21, 0.19, -0.13, -0.16, -0.18, 
##     -0.19, -0.22, -0.19, -0.22, -0.21, -0.21, -0.27, -0.27, -0.27, 
##     -0.29, -0.31, -0.32, -0.29, -0.29, -0.29, -0.27, -0.24, -0.19, 
##     -0.19, -0.21, -0.18, -0.16, -0.19, -0.21, -0.18, -0.16, -0.13, 
##     0.48, 0.43, 0.39, 0.32, 0.14, -0.06, -0.11, -0.13, -0.21, 
##     -0.22, -0.29, -0.32, -0.35, -0.31, -0.37, -0.39, -0.32, -0.32, 
##     -0.34, -0.24, -0.24, -0.22, -0.11, -0.37, -0.42, -0.45, -0.43, 
##     -0.48, -0.53, -0.39, -0.37, -0.22, -0.32, -0.32, -0.27, -0.18, 
##     -0.14, -0.14, -0.18, -0.22, -0.13, -0.11, -0.08, -0.03, -0.03, 
##     -0.03, -0.02, 0, 0, -0.06, -0.05, 0, -0.02, 0, 0.02, 0, -0.02, 
##     -0.02, -0.03, -0.03, -0.05, -0.1, -0.11, -0.1, -0.1, -0.1, 
##     -0.1, -0.06, -0.06, -0.05, -0.05, -0.03, -0.05, -0.03, -0.03, 
##     -0.06, -0.05, -0.03, -0.02, 0.37, 0.37, 0.35, 0.35, 0.35, 
##     0.45, 0.37, 0.39, 0.39, 0.39, 0.37, 0.34, 0.34, 0.37, 0.4, 
##     0.4, 0.39, 0.39, 0.39, 0.39, 0.43, 0.47, 0.47, 0.42, 0.34, 
##     0.31, 0.24, 0.21, 0.31, 0.32, 0.32, 0.34, 0.34, 0.34, 0.34, 
##     0.34, 0.34, 0.32, 0.31, 0.32, 0.34, 0.34, 0.32, 0.35, 0.34, 
##     0.35, 0.37, 0.39, 0.39, 0.39, 0.35, 0.37, 0.29, 0.39, 0.45, 
##     0.43, 0.48, 0.42, 0.27, 0.29, 0.18, 0.31, 0.37, 0.31, 0.06, 
##     0.11, 0.11, 0.24, 0.34, 0.35, 0.31, 0.11, 0.1, 0.1, 0.1, 
##     -0.02, -0.02, -0.02, -0.02, 0.06, 0.03, -0.02, 0.08, 0.1, 
##     0.08, 0.11, 0.18, 0.24, 0.31, 0.18, 0.06, 0.35, 0.35, 0.37, 
##     0.42, 0.31, 0.32, 0.29, 0.19, -0.11, -0.22, -0.08, 0.16, 
##     0.39, 0.34, 0.27, 0.32, 0.32, 0.29, 0.14, 0.14, 0.1, 0.05, 
##     0.24, 0.43, 0.35, 0.39, 0.47, 0.32, 0.4, 0.29, 0.21, 0.18, 
##     0.14, 0.11, 0.08, 0.02, 0.05, 0.1, 0.1, 0.16, 0.21, 0.19, 
##     0.27, 0.18, 0.1, 0.08, 0.08, 0.14, 0.21, 0.22, 0.19, 0.34, 
##     0.34, 0.34, 0.35, 0.35, 0.24, 0.34, 0.35, 0.21, 0.19, 0.19, 
##     0.19, 0.34, 0.34, 0.19, 0.27, 0.43, 0.45, 0.16, -0.08, -0.03, 
##     0.06, 0.06, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.16, 0.16, 
##     0.16, 0.16, 0.16, 0.22, 0.26, 0.26, 0.26, 0.22, 0.22, 0.19, 
##     0.19, 0.19, 0.19, 0.19, 0.14, 0.14, 0.13, 0, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, -204, 0.02, 0.02, 0.02, 0.02, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.02, 0.03, 0.02, 0.03, 0.02, 0.02, 
##     0.02, 0, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 
##     0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0.02, 0.02, 0.5, 0.51, 0.55, 0.53, 0.53, 0.45, 0.45, 0.47, 
##     0.48, 0.47, 0.5, 0.48, 0.5, 0.51, 0.45, 0.47, 0.5, 0.51, 
##     0.47, 0.4, 0.37, 0.34, 0.24, 0.19, 0.06, -0.31, 0.48, 0.63, 
##     0.69, 0.59, 0.47, 0.43, 0.43, 0.43, 0.47, 0.42, 0.47, 0.43, 
##     0.42, 0.47, 0.43, 0.43, 0.5, 0.45, 0.43, 0.35, 0.42, 0.55, 
##     0.47, 0.45, 0.45, 0.48, 0.51, 0.53, 0.5, 0.47, 0.47, 0.51, 
##     0.51, 0.5, 0.47, 0.34, 0.59, 0.59, 0.53, 0.47, 0.37, 0.29, 
##     0.45, 0.48, 0.58, 0.55, 0.56, 0.55, 0.51, 0.53, 0.51, 0.53, 
##     0.51, 0.42, 0.4, -0.31, 0.18, 0.59, 0.72, 1, 0.93, 0.96, 
##     0.95, 0.9, 0.83, 0.8, 0.72, 0.66, 0.66, 0.58, 0.59, 0.58, 
##     0.55, 0.43, 0.42, 0.39, 0.43, 0.45, 0.42, 0.42, 0.35, 0.39, 
##     0.42, 0.31, 0.26, 0.34, -0.35, -0.31, 0, -0.08, -0.13, -0.06, 
##     -0.06, 0.02, 0.02, 0, 0.05, -0.03, -0.1, -0.06, -0.02, 0, 
##     -0.05, -0.08, -0.05, -0.06, 0.05, 0.05, -0.02, -0.02, -0.02, 
##     0.06, 0.03, 0.02, 0, -0.02, -0.03, 0.48, 0.48, 0.48, 0.5, 
##     0.47, 0.47, 0.5, 0.5, 0.45, 0.55, 0.5, 0.48, 0.43, 0.32, 
##     0.31, 0.31, 0.19, 0.11, -0.24, -0.32, -0.47, -0.35, -0.21, 
##     0.32, 0.63, 0.8, 1.04, 1.01, 0.98, 0.92, 0.82, 0.82, 0.72, 
##     0.74, 0.71, 0.51, 0.5, 0.47, 0.5, 0.48, 0.47, 0.53, 0.58, 
##     0.58, 0.63, 0.56, 0.55, 0.58, 0.51, 0.53, 0.5, 0.45, 0.42, 
##     0.45, 0.43, 0.43, 0.43, 0.47, 0.47, 0.5, 0.5, 0.51, 0.51, 
##     0.5, 0.5, 0.48, 0.48, 0.47, 0.47, 0.48, 0.47, 0.47, 0.47, 
##     0.45, 0.47, 0.45, 0.47, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 
##     0.19, 0.13, 0.02, -0.13, -0.31, 0.05, 0.42, 0.64, 0.71, 0.71, 
##     0.74, 0.77, 0.75, 0.5, 0.45, 0.32, 0.34, 0.48, 0.64, 0.53, 
##     0.39, 0.4, 0.4, 0.42, 0.48, 0.51, 0.4, 0.47, 0.56, 0.55, 
##     0.48, 0.55, 0.64, 0.61, 0.51, 0.37, 0.14, 0.11, 0.14, 0.31, 
##     0.39, 0.5, 0.51, 0.55, 0.58, 0.59, 0.61, 0.59, 0.71, 0.67, 
##     0.66, 0.67, 0.64, 0.63, 0.61, 0.48, 0.5, 0.42, 0.22, -0.32, 
##     -0.4, -0.47, 0.58, 0.72, 0.77, 0.66, 0.69, 0.66, 0.56, 0.55, 
##     0.63, 0.79, 0.56, 0.63, 0.63, 0.45, 0.48, 0.35, 0.34, 0.32, 
##     0.39, 0.37, 0.34, 0.32, 0.58, 0.59, 0.31, 0.22, 0.19, 0.45, 
##     0.47, 0.47, 0.48, 0.66, 0.69, 0.71, 0.74, 0.69, 0.67, 0.74, 
##     0.79, 0.69, 0.59, 0.56, 0.5, 0.37, 0.43, 0.48, 0.45, 0.47, 
##     0.4, 0.35, 0.21, 0.02, -0.14, -0.32, -0.48, 0.16, 0.37, 0.55, 
##     0.83, 0.92, 0.8, 0.64, 0.43, 0.48, 0.61, 0.5, 0.55, 0.53, 
##     0.47, 0.29, 0.24, 0.27, 0.26, 0.13, 0.26, 0.29, 0.35, 0.29, 
##     0.27, 0.39, 0.48, 0.63, 0.63, 0.67, 0.66, 0.72, 0.79, 0.69, 
##     0.71, 0.72, 0.72, 0.63, 0.59, 0.58, 0.53, 0.53, 0.64, 0.69, 
##     0.69, 0.43, 0.45, 0.42, 0.37, 0.29, 0.18, -0.22, -0.4, 0.1, 
##     0.19, 0.4, 0.51, 0.42, 0.43, 0.55, 0.56, 0.59, 0.66, 0.61, 
##     0.63, 0.53, 0.61, 0.61, 0.67, 0.66, 0.53, 0.47, 0.47, 0.47, 
##     0.45, 0.35, 0.19, -0.21, -0.22, -0.13, -0.02, 0.71, 0.71, 
##     0.34, 0.19, 0.43, 0.58, 0.64, 0.67, 0.93, 0.56, 0.51, 0.42, 
##     0.45, 0.55, 0.59, 0.61, 0.67, 0.67, 0.66, 0.59, 0.05, -0.13, 
##     0.1, 0.21, 0.31, 0.35, 0.45, 0.64, 0.69, 0.75, 0.8, 0.8, 
##     0.77, 0.85, 0.83, 0.77, 0.71, 0.69, 0.74, 0.69, 0.64, 0.59, 
##     0.45, 0.61, 0.61, 0.66, 0.32, -0.02, -0.26, -0.18, -0.02, 
##     0.42, 0.88, 0.87, 0.85, 0.82, 0.8, 0.75, 0.72, 0.66, 0.87, 
##     0.82, 0.66, 0.74, 0.53, 0.66, 0.19, -0.02, -0.03, 0.35, 0.31, 
##     0.22, 0.88, 0.87, 0.9, 0.92, 0.87, 0.9, 0.71, 0.58, 0.79, 
##     0.69, 0.74, 0.55, 0.42, 0.22, 0.06, 0.24, -0.1, 0.14, 0.21, 
##     0.14, 0.21, 0.06, -0.14, -0.13, -0.08, -0.06, -0.02, 0.1, 
##     0.47, 0.58, 0.69, 0.67, 0.74, 0.8, 0.88, 0.92, 0.85, 0.9, 
##     0.87, 0.83, 0.59, 0.64, 0.82, 0.87, 0.79, 0.67, 0.63, 0.63, 
##     0.55, 0.53, 0.5, 0.47, -0.4, -0.39, 0.61, 0.85, 0.96, 0.93, 
##     0.56, 0.53, 0.51, 0.4, 0.58, 0.61, 0.85, 0.72, 0.61, 0.67, 
##     0.22, 0.18, 0.24, 0.32, 0.24, 0.13, 0.19, 0.22, 0.37, 0.29, 
##     0.18, -0.29, -0.11, 0, 0.05, 0.1, 0.24, 0.39, 0.45, 0.51, 
##     0.67, -0.02, -1.72, -1.85, -1.78, -1.64, -1.48, -1.35, -1.19, 
##     -0.9, -0.75, -0.64, 0.13, 0.27, 0.27, 0.24, 0.35, 0.59, -1.38, 
##     -1.4, -1.4, -1.4, -1.49, -1.51, -1.27, -1.01, -0.87, -0.58, 
##     -0.48, -0.37, -0.27, -0.21, 0, 0.06, 0.06, 0.13, 0.21, 0.19, 
##     0.21, 0.26, 0.42, 0.45, 0.42, 0.61, 0.75, 0.83, 0.87, 0.88, 
##     0.87, 0.95, 1.09, 1.14, 1.24, 1.46, 1.56, 1.59, 1.59, 1.53, 
##     1.46, 1.4, 1.27, 1.19, 0.98, 0.67, 0.63, 0.69, 1.14, 1.19, 
##     1.17, 1.01, 0.83, 0.63, 0.48, 0.5, 0.43, 0.24, 0.22, 0.21, 
##     0.16, 0.11, 0.02, -0.06, 0.11, 0.03, -0.55, -0.75, -0.93, 
##     -1.06, -1.16, -1.3, -1.43, -1.49, -1.49, -1.78, -1.7, -1.75, 
##     -1.67, -1.53, -1.24, -1.04, -0.79, -0.61, -0.39, -0.32, -0.14, 
##     -0.05, 0.18, 0.21, 0.22, 0.21, 0.08, 0.13, 0.16, 0.21, 0.4, 
##     0.48, 0.51, 0.58, 1.01, 1.11, 1.17, 1.27, 1.3, 1.3, 1.35, 
##     -0.34, -0.26, -0.39, -0.56, -0.66, -0.74, -1.03, -1.03, -1.06, 
##     -1.24, -1.45, -1.54, -1.65, -1.72, -1.7, -1.8, -1.78, -1.67, 
##     -1.3, -1.25, -0.92, -0.67, -0.66, -0.61, -0.45, -0.32, -0.24, 
##     -0.16, -0.08, 0.02, 0.13, 0.21, 0.19, 0.24, 0.31, 0.43, 0.59, 
##     0.61, 0.69, 0.93, 0.9, 1.11, 1.14, 1.2, 1.35, 1.38, 1.43, 
##     1.57, 1.62, 1.64, 1.54, 1.54, 1.4, 1.16, 0.93, 0.8, 0.8, 
##     0.58, 0.39, 0.45, 0.61, 0.8, 0.8, 0.8, 0.8, 1.01, 1.22, 1.11, 
##     1, 0.9, 0.74, 0.61, 0.45, 0.34, 0.22, 0.14, -0.14, -0.19, 
##     -0.19, -0.24, -0.21, -0.24, -0.67, -0.98, -1.06, -1.14, 0.56, 
##     0.67, 0.66, 0.69, 0.67, 0.75, 1.01, 1.01, 1.09, 1.2, 1.25, 
##     1.27, 1.25, 1.22, 1.36, 1.28, 1.3, 1.35, 1.41, 1.38, 1.32, 
##     1.25, 0.8, 0.75, 1.03, 1.24, 1.32, 1.14, 0.82, 0.71, 0.48, 
##     0.11, -0.39, -0.47, -0.48, -0.47, -0.43, -0.42, -0.37, -0.31, 
##     -0.21, -0.35, -0.58, -0.79, -1.06, -1.24, -1.41, -1.57, -1.64, 
##     -1.67, -1.73, -1.65, -1.48, -1.35, -0.8, -0.74, -0.69, -0.63, 
##     -0.61, -0.45, -0.27, -0.06, 0.22, 0.42, 0.59, 0.66, 0.8, 
##     0.85, 1.2, 1.24, 1.43, 1.57, 1.54, 1.46, 1.53, 1.54, 1.28, 
##     1.17, 1.19, 0.61, 0.59, 0.64, 1.33, 1.57, 1.4, 0.87, 0.42, 
##     0.19, 0.11, -0.03, -0.21, -0.29, -0.42, -0.47, -0.48, -0.37, 
##     -0.75, -0.95, -1.01, -1.16, -1.51, -1.49, -1.53, -1.64, -1.75, 
##     -1.75, -1.77, -1.73, -1.36, -1.2, -1.16, -0.77, -0.43, -0.35, 
##     -0.22, 0.08, 0.11, 0.35, 0.67, 0.75, 0.8, 1.06, 1.11, 1.08, 
##     1.01, 1.32, 1.59, 1.64, 1.72, 1.67, 1.72, 1.67, 1.54, 1.45, 
##     1.35, 1.28, 1.2, 1.09, 0.82, 0.83, 1.08, 1.35, 0.83, 0.64, 
##     0.64, 0.59, 0.53, 0.29, 0.14, -0.08, -0.51, -0.61, -0.66, 
##     -0.66, -0.61, -0.61, -0.72, -1.04, -1.14, -1.3, -1.46, -1.64, 
##     -1.86, -1.81, 1.73, 1.91, 1.94, 1.98, 1.96, 1.72, 1.65, 1.64, 
##     1.35, 1.19, 1.06, 1.06, 1.06, 0.93, 0.93, 0.93, 0.93, 0.82, 
##     0.82, 0.8, 0.82, 1.41, 1.43, 1.33, 1.16, 1.01, 0.88, 0.74, 
##     0.63, -0.48, -0.59, -0.69, -0.74, -0.8, -1.04, -1.14, -1.35, 
##     -1.41, -1.43, -1.51, -1.53, -1.62, -1.65, -1.57, -1.35, -1.22, 
##     -0.92, -0.8, -0.64, -0.26, -0.16, -0.1, 0.08, 0.26, 0.4, 
##     0.47, 0.72, 0.8, 0.92, 0.96, 0.98, 1.11, 1.2, 1.24, 1.3, 
##     1.41, 1.08, 1.14, 1.17, 1.19, 1.09, 1.2, 1.25, 1.22, 1.08, 
##     1, 0, 0, 0, 0.02, 0.02, 0, 0, -0.02, 0.02, 0.1, 0.08, 0.06, 
##     0.1, 0.19, 0.19, 0.08, 0.03, 0, -0.05, -0.14, -0.14, -0.27, 
##     -0.32, -0.32, -0.31, -0.31, -0.26, -0.26, -0.18, -0.08, -0.08, 
##     -0.08, -0.05, -0.06, -0.11, -0.13, -0.18, -0.19, -0.11, -0.02, 
##     0.11, 0.32, 0.35, 0.27, 0.24, 0.24, 0.27, 0.26, 0.35, 0.39, 
##     0.24, -0.06, -0.03, -0.02, -0.13, -0.22, -0.26, -0.42, -0.45, 
##     -0.35, -0.26, -0.26, -0.18, -0.06, 0, 0.02, 0, -0.03, 0.1, 
##     0.1, 0.13, 0.18, 0.14, -0.05, -0.1, -0.13, -0.11, -0.1, -0.08, 
##     -0.21, -0.37, -0.42, -0.43, -0.32, -0.16, -0.11, -0.06, -0.13, 
##     -0.16, -0.22, -0.21, -0.16, 0.13, 0.22, 0.42, 0.66, 0.66, 
##     0.56, 0.51, 0.43, 0.39, 0.43, 0.53, 0.61, 0.53, 0.47, 0.34, 
##     0.24, 0.21, 0.08, 0.08, 0, -0.14, -0.18, -0.18, -0.24, -0.22, 
##     -0.22, -0.21, -0.16, -0.03, 0.11, 0.16, 0.26, 0.34, 0.58, 
##     0.67, 0.85, 0.72, 0.77, 0.79, 0.66, 0.55, 0.47, 0.5, 0.51, 
##     0.31, 0.22, 0.21, 0.1, 0.02, -0.05, -0.11, -0.26, -0.21, 
##     -0.18, -0.08, -0.05, -0.06, -0.03, -0.03, 0, -0.02, -0.03, 
##     -0.02, -0.05, -0.1, -0.11, -0.16, -0.22, -0.26, 0.74, 0.64, 
##     0.66, 0.82, 0.69, 0.45, 0.37, 0.31, 0.22, 0.14, 0.06, 0.03, 
##     0.11, 0.06, 0.03, 0.06, 0.03, -0.1, -0.1, -0.05, -0.06, -0.08, 
##     -0.1, -0.24, -0.1, -0.1, -0.11, -0.06, -0.06, -0.05, -0.06, 
##     -0.11, -0.13, -0.11, -0.11, -0.05, -0.1, -0.13, -0.14, -0.11, 
##     -0.1, -0.11, -0.31, -0.35, -0.48, -0.47, -0.32, -0.16, -0.08, 
##     -0.05, -0.06, -0.08, -0.26, -0.48, -0.42, -0.24, 0.14, 0.21, 
##     0.22, 0.16, 0.32, 0.4, 0.37, 0.47, 0.53, 0.5, 0.45, 0.53, 
##     0.51, 0.34, 0.31, 0.29, 0.32, 0.32, 0.42, 0.48, 0.45, 0.43, 
##     0.37, 0.4, 0.42, 0.45, 0.47, 0.43, 0.39, 0.31, 0.26, 0.08, 
##     0.06, -0.05, -0.16, -0.19, -0.13, -0.21, -0.21, -0.14, -0.06, 
##     -0.02, -0.19, 0.22, 0.26, 0.27, 0.32, 0.37, 0.43, 0.43, 0.35, 
##     0.22, 0.16, 0.27, 0.47, 0.58, 0.66, 0.61, 0.66, 0.63, 0.48, 
##     0.42, 0.29, 0.27, 0.21, 0.1, 0.02, 0.05, 0.02, 0.08, 0.05, 
##     -0.02, -0.02, 0.06, 0.05, 0.03, -0.34, -0.32, -0.18, -0.1, 
##     0.05, 0.05, -0.18, -0.21, -0.26, -0.31, -0.31, -0.32, -0.34, 
##     -0.29, -0.29, -0.4, 0.42, 0.31, 0.19, 0.18, 0.11, 0.11, 0.16, 
##     0.05, 0.24, 0.24, 0.24, 0.13, 0.08, -0.08, -0.24, -0.24, 
##     -0.26, -0.27, -0.26, -0.37, -0.39, -0.39, -0.39, -0.39, -0.39, 
##     -0.42, -0.34, -0.27, -0.22, -0.22, -0.22, -0.24, -0.24, -0.29, 
##     -0.29, -0.11, 0.02, 0.1, 0.14, 0.37, 0.4, 0.34, 0.39, 0.5, 
##     0.66, 0.48, 0.39, 0.31, 0.26, 0.11, 0.1, 0.02, -0.02, -0.02, 
##     -0.03, -0.02, -0.02, -0.05, -0.37, -0.39, -0.13, -0.11, -0.11, 
##     -0.13, -0.11, -0.08, -0.05, 0, 0.06, 0.05, -0.02, 0.02, 0.03, 
##     0.1, 0.03, 0.02, 0.1, 0.13, -0.02, 0.03, 0.24, 0.37, 0.55, 
##     0.61, 0.53, 0.34, -0.06, -0.05, -0.06, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.03, -0.06, -0.08, -0.08, -0.05, -0.02, 
##     0, 0, 0, -0.02, -0.03, -0.02, -0.03, -0.05, -0.02, -0.03, 
##     -0.03, -0.02, -0.03, -0.05, -0.05, -0.06, -0.05, -0.06, -0.06, 
##     -0.03, -0.03, -0.03, -0.03, -0.02, -0.03, -0.05, -0.06, -0.06, 
##     0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.02, 
##     0.02, 0.02, -0.03, -0.02, -0.05, -0.05, -0.03, -0.05, -0.03, 
##     -0.02, 0.08, 0.08, 0.1, 0.1, 0.1, 0.1, 0.11, 0.08, 0.1, 0.11, 
##     0.13, 0.16, 0.21, 0.32, 0.39, 0.37, 0.5, 0.56, 0.64, 0.66, 
##     0.71, 0.85, 1.03, 0.83, 0.75, 0.45, 0.35, 0.29, 0.22, 0.21, 
##     0.22, 0.19, 0.21, 0.24, 0.24, 0.22, 0.16, 0.14, 0.13, 0.08, 
##     -0.02, 0.03, -0.05, -0.03, 0.11, 0.06, -0.06, -0.03, 0.18, 
##     0.26, 0.24, 0.19, 0.21, 0.27, 0.22, 0.35, 0.39, 0.35, 0.37, 
##     0.35, 0.35, 0.32, 0.32, 0.35, 0.34, 0.34, 0.35, 0.35, 0.35, 
##     0.35, 0.37, 0.37, 0.37, 0.35, 0.37, 0.39, 0.37, 0.37, 0.37, 
##     0.39, 0.39, 0.35, 0.37, 0.35, 0.34, 0.32, 0.06, 0.06, 0.06, 
##     -0.02, -0.06, -0.19, 0.48, 0.64, 0.47, 0.51, 0.51, 0.48, 
##     0.47, 0.5, 0.63, 0.72, 0.63, 0.11, 0.16, 0.37, 0.55, 0.59, 
##     0.59, 0.58, 0.45, 0.37, 0.56, 0.77, 0.87, 1.08, 0.72, 0.32, 
##     0.35, 0.19, 0.03, -0.08, -0.08, 0.11, 0.4, 0.48, 0.42, 0.53, 
##     0.63, 0.58, 0.55, 0.51, 0.53, 0.4, 0.61, 0.93, 1, 1.22, 1.11, 
##     1.14, 0.88, 0.51, 0.58, 0.71, 1.09, 1.03, 0.75, 0.31, 0.18, 
##     0.1, -0.5, -0.34, -0.34, -0.4, -0.42, -0.35, -0.29, -0.16, 
##     -0.03, -0.11, -0.05, 0.21, 0.43, 0.48, 0.55, 0.72, 0.83, 
##     0.66, 0.51, 0.37, 0.27, 0.34, 0.48, 0.48, 0.45, 0.5, 0.63, 
##     0.51, 0.56, 0.69, 0.96, 1.16, 1.22, 1.09, 0.83, 0.66, 0.67, 
##     0.64, 0.67, 0.72, 0.9, 0.59, 0.19, -0.14, -0.22, -0.37, -0.4, 
##     -0.43, -0.45, -0.32, -0.18, 0.02, -0.21, -0.19, -0.11, 0.13, 
##     0.22, 0.29, 0.48, 0.48, 0.4, 0.34, 0.4, 0.53, 0.61, 0.71, 
##     0.75, 0.92, 0.83, 0.83, 1.04, 1.03, 1.22, 1.3, 0.63, 0.18, 
##     0.06, 0.18, 0.31, 0.79, 0.66, 0.63, 0.8, 0.9, 1.03, 0.75, 
##     0.79, 0.88, 0.98, 1.06, 0.96, 1, 1.06, 0.95, 0.59, -0.32, 
##     -0.71, -0.8, -0.59, -0.53, -0.29, 0.24, 0.26, 0.18, 0.13, 
##     0.1, 0.16, 0.31, 0.71, 0.9, 0.63, 0.37, 0.64, 0.55, 0.51, 
##     0.4, 0.34, 0.45, 0.67, 0.83, 0.69, 1.19, 1.22, 1.01, 0.96, 
##     1.03, 1.17, 1.22, 0.26, -0.05, -0.31, -0.43, -0.4, -0.37, 
##     -0.35, -0.35, -0.1, 0.02, 0.08, 0.05, -0.03, -0.72, -0.8, 
##     -0.22, 0.02, 0.29, 1, 1.24, 0.87, 0.59, 0.58, 0.55, 0.43, 
##     0.39, 0.51, 0.51, 0.47, 0.75, 1.12, 0.95, 0.87, 0.95, 0.79, 
##     0.72, 0.69, 0.87, 1.22, 1.48, 1.53, 1.14, 0.98, 0.75, 0.74, 
##     0.45, 0.18, -0.18, -0.39, -0.45, -0.59, -0.67, -0.69, -0.63, 
##     -0.19, -0.27, -0.45, -0.34, -0.21, 0.48, 0.59, 0.69, 0.87, 
##     0.93, 0.59, 0.27, 0.43, -0.66, -0.79, -0.8, -0.74, -0.47, 
##     -0.4, -0.45, -0.51, -0.51, -0.42, -0.19, 0.55, 0.72, 0.88, 
##     1.09, 0.87, 0.71, 0.45, 0.35, 0.32, 0.35, 0.42, 0.14, 0.18, 
##     0.26, 0.26, 0.06, 0.87, 0.02, 0.14, 0.13, 0.1, 0.13, 0.18, 
##     0.19, 0.24, 0.27, 0.29, 0.26, -0.05, -0.08, -0.24, -0.31, 
##     -0.35, -0.34, -0.32, -0.32, -0.45, -0.37, -0.26, 0.34, 0.35, 
##     0.61, 0.74, 0.88, 0.93, 0.96, 0.95, 0.67, 0.64, 0.61, 0.31, 
##     0.13, 0.13, 0.1, 0.06, 0.1, 0.34, 0.32, 0.42, 0.43, 0.39, 
##     0.31, 0.35, 0.32, 0.31, 0.24, 0.24, 0.24, 0.24, 0.24, 0.27, 
##     0.21, 0.13, 0.13, 0.08, -0.5, -0.53, -0.56, -0.47, -0.35, 
##     -0.26, -0.26, -0.24, -0.14, -0.08, -0.16, -0.27, -0.32, -0.26, 
##     -0.18, -0.16, -0.08, -0.1, 0.05, 0.1, 0.08, 0.06, 0.08, 0.1, 
##     0.11, 0.13, 0.24, 0.34, 0.31, 0.32, 0.47, 0.53, 0.69, 0.74, 
##     0.85, 0.9, 0.72, 0.67, 0.61, 0.59, 0.45, 0.39, 0.37, 0.32, 
##     0.24, 0.18, 0.13, 0.11, 0.13, 0.22, 0.21, 0.37, 0.31, 0.16, 
##     0.1, 0.14, 0.14, 0.22, 0.26, 0.29, 0.34, 0.37, 0.27, 0.34, 
##     0.26, 0.11, 0.03, -0.05, -0.29, -0.39, -0.51, -0.55, -0.53, 
##     -0.51, -0.55, -0.61, -0.55, -0.48, -0.45, -0.24, -0.21, -0.14, 
##     -0.1, -0.03, 0, 0, 0.11, 0.08, 0.06, 0.56, 0.37, 0.26, 0.24, 
##     0.16, 0.03, 0.02, 0.03, 0, 0.1, 0.27, 0.18, 0.16, 0.29, -0.02, 
##     -0.05, 0.21, 0.27, 0.34, 0.4, 0.42, 0.4, 0.05, 0.03, 0.05, 
##     0.05, 0.05, -0.02, 0, -0.03, -0.03, -0.08, -0.03, 0.18, 0.22, 
##     0.34, 0.61, 0.82, 1.11, 1.17, 1.16, 1.12, 0.92, 0.82, 1, 
##     0.9, 0.8, 0.82, 0.75, 0.66, 0.61, 0.5, 0.4, 0.4, 0.37, 0.1, 
##     0.13, 0.08, 0.05, 0.1, 0.13, 0.14, 0.26, 0.26, 0.18, 0.05, 
##     -0.14, -0.16, -0.13, -0.11, 0.05, 0.13, 0.19, 0.13, 0.1, 
##     0.1, 0.14, 0.16, 0.16, 0.16, 0.18, 0.16, 0.11, 0.16, 0.16, 
##     -0.05, -0.06, -0.18, -0.26, -0.27, -0.26, -0.29, -0.32, -0.32, 
##     -0.29, -0.19, -0.21, -0.37, -0.31, -0.34, -0.4, -0.35, -0.31, 
##     -0.31, -0.26, -0.26, -0.26, -0.22, -0.19, -0.1, -0.06, -0.05, 
##     -0.02, 0.03, 0.06, 0.1, 0.13, 0.18, 0.14, 0.16, 0.21, 0.21, 
##     0.19, 0.1, 0.06, 0.06, 0.16, 0.16, 0.08, 0.19, 0.27, 0.35, 
##     0.4, 0.45, 0.43, 0.26, 0.24, 0.21, 0.08, -0.08, -0.11, -0.26, 
##     -0.26, -0.4, -0.56, -0.55, -0.51, -0.51, -0.64, -0.21, -0.06, 
##     -0.03, -0.02, 0.03, 0.06, 0.03, 0.11, 0.14, 0.29, 0.13, 0.05, 
##     0.03, 0.02, 0.02, 0.02, -0.03, -0.08, 0.03, 0.03, 0, -0.02, 
##     -0.08, -0.13, -0.18, -0.22, 0.13, 0.22, 0.31, 0.32, 0.32, 
##     0.31, 0.34, 0.34, 0.24, 0.26, 0.19, 0.19, 0.21, 0.14, 0.1, 
##     0.19, 0.18, 0.13, 0.1, -0.1, -0.29, -0.35, -0.43, -0.56, 
##     -0.58, -0.58, -0.64, -0.67, -0.61, -0.61, -0.47, -0.4, 0, 
##     0.03, 0.08, 0.18, 0.18, 0.24, 0.29, 0.24, 0.27, 0.24, 0.21, 
##     0.18, 0.14, 0.14, 0.16, 0.22, 0.24, 0.27, 0.34, 0.39, 1.01, 
##     1.01, 1.01, 1.01, 1.03, 1, 0.92, 0.72, 0.43, 0.39, 0.24, 
##     0.22, 0.27, 0.24, 0.21, 0.11, 0.08, 0.06, 0.02, 0.1, 0.26, 
##     0.21, 0.02, -0.08, 0, 0.18, 0.22, 0.19, 0.13, 0.11, 0.13, 
##     0.13, 0.1, 0.13, 0.16, 0.22, 0.26, 0.31, 0.35, 0.34, 0.35, 
##     0.35, 0.34, 0.26, 0.18, 0.03, -0.05, -0.16, -0.42, -0.48, 
##     -0.51, -0.53, -0.58, -0.59, -0.63, -0.63, -0.59, -0.58, -0.58, 
##     -0.51, -0.45, -0.39, -0.21, -0.08, -0.08, -0.06, -0.05, -0.03, 
##     -0.05, -0.02, -0.02, -0.02, 0, 0.02, 0.03, 0.02, 0.02, 0, 
##     0, 0.06, 0.14, 0.19, 0.29, 0.42, 0.48, 0.55, 0.77, 0.88, 
##     1.12, 1.24, 1.28, 1.25, 1.03, 1.01, 0.83, 0.79, 0.74, 0.64, 
##     0.56, 0.55, 0.47, 0.13, 0.03, 0.02, 0.06, 0.14, 0.24, 0.29, 
##     0.14, 0.03, -0.16, -0.1, 0.32, 0.31, 0.27, 0.22, 0.22, 0.24, 
##     0.22, 0.18, 0.16, 0.22, 0.21, 0.11, 0.03, 0, 0.02, 0.05, 
##     0.03, -0.03, -0.11, -0.14, -0.27, -0.37, -0.34, -0.32, -0.32, 
##     -0.32, -0.34, -0.35, -0.31, 0.14, 0.11, 0.11, 0.14, 0.22, 
##     0.29, 0.31, 0.34, 0.39, 0.53, 0.59, 0.64, 0.92, 1.01, 1.06, 
##     0.96, 1.04, 1.11, 1.04, 0.92, 0.83, 0.75, 0.66, 0.51, 0.5, 
##     0.26, 0.29, 0.35, 0.39, 0.82, 0.9, 1.35, 1.25, 1.2, 1.01, 
##     0.48, 0.32, 0.18, 0.11, 0.08, 0.05, 0.11, 0.13, 0.06, 0.08, 
##     0.1, 0.06, 0, -0.13, -0.11, -0.21, -0.32, -0.34, -0.45, -0.39, 
##     -0.37, -0.29, -0.27, -0.32, -0.4, -0.45, -0.4, -0.31, -0.29, 
##     -0.26, -0.24, -0.21, -0.13, -0.1, -0.11, -0.13, -0.05, 0.03, 
##     0.02, -0.03, 0.08, 0.16, 0.11, 0.13, 0.16, 0.29, 0.34, 0.59, 
##     0.8, 0.95, 1.03, 1.01, 0.85, 0.8, 0.96, 0.95, 0.8, -0.32, 
##     -0.32, -0.19, -0.11, 0.02, 0.08, 0.19, 0.13, 0.06, 0, -0.03, 
##     0.03, 0.03, 0.11, 0.14, 0.13, 0.13, 0.16, 0.14, 0.16, 0.18, 
##     0.19, 0.35, 0.35, 0.14, 0.16, 0.14, 0.1, 0.1, 0.08, -0.03, 
##     -0.08, -0.05, -0.02, 0, -0.02, 0.02, 0, 0.02, 0.03, 0.05, 
##     0.05, 0.13, 0.13, 0.08, 0.08, 0.13, 0.14, 0.14, 0.13, 0.11, 
##     0.13, 0.11, 0.08, 0.18, 0.26, 0.27, 0.37, 0.4, 0.43, 0.45, 
##     0.47, 0.47, 0.45, 0.45, 0.45, 0.45, 0.42, 0.39, 0.31, 0.29, 
##     0.34, -0.1, 0.05, 0.02, -0.02, -0.05, 0, 0.03, 0.06, 0.08, 
##     0.08, 0.16, 0.13, 0.02, 0, 0.11, 0.13, 0.18, 0.26, 0.29, 
##     0.31, 0.32, 0.24, -0.21, -0.19, -0.22, -0.24, -0.22, -0.27, 
##     -0.21, -0.22, -0.18, -0.22, -0.27, -0.27, -0.16, -0.16, -0.18, 
##     -0.18, -0.14, -0.18, -0.13, -0.13, -0.11, -0.13, -0.1, -0.08, 
##     -0.06, -0.08, -0.1, -0.11, -0.13, -0.14, -0.06, -0.03, -0.05, 
##     -0.14, -0.18, -0.21, -0.21, -0.21, -0.22, -0.14, -0.05, -0.06, 
##     -0.08, -0.08, -0.05, -0.08, -0.06, -0.06, -0.08, -0.06, -0.06, 
##     -0.08, -0.08, -0.08, -0.06, -0.05, -0.1, -0.13, -0.19, -0.11, 
##     -0.05, -0.08, -0.21, -0.22, -0.21, -0.14, -0.03, 0.02, 0.05, 
##     0.05, 0.1, 0.22, 0.31, 0.34, 0.37, 0.4, 0.39, 0.37, 0.29, 
##     0.21, 0.03, -0.08, -0.16, -0.21, -0.24, -0.26, -0.31, -0.24, 
##     -0.19, -0.16, -0.31, -0.02, 0.02, -0.05, -0.06, -0.06, -0.02, 
##     0.02, 0.1, 0.11, 0.22, 0.26, 0.29, 0.22, 0.26, 0.27, 0.26, 
##     0.18, 0.02, 0.02, -0.14, -0.21, -0.27, -0.37, -0.4, -0.37, 
##     -0.26, -0.27, -0.31, -0.32, -0.35, -0.34, -0.26, -0.21, -0.16, 
##     -0.16, -0.08, 0.05, 0.05, 0.05, 0.03, 0.02, -0.03, -0.1, 
##     -0.14, -0.14, -0.1, -0.06, -0.1, -0.02, 0.02, 0.02, 0, 0.06, 
##     0.06, 0.08, -0.08, -0.13, -0.13, -0.18, -0.18, -0.19, -0.19, 
##     -0.19, -0.21, -0.21, -0.19, -0.18, -0.14, -0.14, -0.11, -0.1, 
##     -0.1, -0.1, -0.08, -0.08, -0.1, -0.1, -0.11, -0.03, -0.08, 
##     -0.21, -0.27, -0.22, -0.21, -0.39, -0.35, -0.29, -0.24, -0.31, 
##     -0.29, -0.18, -0.16, -0.11, -0.1, -0.06, 0, 0.02, 0.02, 0.02, 
##     0, 0.03, 0.11, 0.11, -0.14, -0.14, -0.1, -0.06, -0.11, 0.03, 
##     0.03, -0.03, -0.03, -0.02, -0.05, 0.11, 0.1, 0.13, 0.08, 
##     -0.06, -0.08, -0.05, -0.03, -0.05, -0.05, -0.05, -0.08, -0.06, 
##     0, -0.08, -0.08, -0.11, -0.14, -0.05, 0.05, 0.06, -0.13, 
##     -0.16, 0, -0.02, -0.06, -0.1, -0.1, -0.05, -0.03, -0.03, 
##     -0.02, 0.02, 0.02, -0.1, -0.11, -0.13, -0.13, -0.11, -0.08, 
##     -0.08, -0.11, -0.16, -0.21, -0.24, -0.14, -0.11, -0.13, -0.16, 
##     -0.29, -0.22, -0.18, -0.14, -0.05, 0.05, 0.13, 0.14, 0.16, 
##     0.18, 0.14, 0.16, 0.11, 0.03, 0, -0.03, -0.08, -0.1, -0.1, 
##     0.02, 0.03, 0.05, 0.05, 0.05, 0.08, 0.1, 0.05, 0.11, 0.13, 
##     0.1, 0.14, -0.02, 0.02, 0.03, -0.03, -0.05, -0.1, -0.11, 
##     -0.11, -0.14, -0.14, -0.13, -0.16, -0.22, -0.22, -0.21, -0.19, 
##     -0.21, -0.26, -0.29, -0.29, -0.26, -0.14, -0.13, -0.11, -0.08, 
##     -0.06, 0.02, 0.06, 0.08, -0.03, -0.1, -0.11, -0.13, -0.37, 
##     -0.35, -0.31, -0.22, -0.19, -0.14, 0.02, 0.1, 0.18, 0.14, 
##     0.03, -0.06, -0.1, -0.06, 0, 0.02, 0.02, 0, 0.05, 0.13, 0.11, 
##     0.1, 0.05, -0.02, -0.02, -0.03, -0.06, -0.02, -0.06, -0.06, 
##     -0.05, -0.05, -0.21, -0.21, -0.21, -0.19, -0.16, -0.14, -0.02, 
##     -0.02, 0, -0.02, 0.05, 0.13, 0.18, 0.18, 0.18, 0.29, 0.22, 
##     0.08, -0.1, -0.13, -0.14, -0.16, -0.14, -0.16, -0.16, -0.26, 
##     -0.27, -0.24, -0.22, -0.19, -0.06, -0.11, -0.14, -0.14, -0.13, 
##     -0.06, -0.05, 0.06, 0.08, 0.06, 0.13, 0.13, 0.13, 0.11, 0.06, 
##     0.11, 0.11, 0.08, -0.08, -0.06, -0.02, -0.02, 0, -0.02, 0, 
##     -0.1, -0.18, -0.16, -0.13, -0.08, -0.06, -0.02, 0, -0.02, 
##     -0.02, -0.02, 0, 0.03, 0.06, -0.11, 0.02, 0.13, 0.19, 0.06, 
##     0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 
##     0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 
##     0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, -0.16, -0.13, -0.06, 
##     -0.03, -0.06, -0.11, -0.1, 0.03, 0.22, 0.37, 0.03, -0.03, 
##     -0.02, 0.05, 0, -0.16, -0.16, -0.18, -0.1, -0.03, -0.05, 
##     -0.03, 0.02, 0.02, 0.02, 0, 0.02, 0.11, 0.18, 0.02, -0.1, 
##     -0.21, -0.27, -0.14, 0.08, 0.13, 0.27, 0.27, 0.31, 0.1, -0.14, 
##     -0.16, -0.16, -0.16, -0.11, -0.08, -0.05, -0.02, 0, 0.05, 
##     0.05, 0.06, 0.06, 0.06, 0.06, 0.08, 0.1, 0.13, 0.13, 0.1, 
##     0.03, -0.02, -0.08, -0.06, 0.05, 0.13, 0.13, 0.16, 0.34, 
##     0.34, 0.18, 0.13, 0.11, 0.05, 0.02, -0.02, 0.05, 0, -0.02, 
##     -0.22, -0.06, 0, 0, -0.02, 0.06, 0, -0.08, -0.02, -0.18, 
##     -0.21, -0.18, -0.18, -0.14, -0.06, 0.02, 0.03, 0.05, 0.08, 
##     0.02, 0, 0.08, 0.02, 0.1, 0.1, -0.03, -0.05, -0.06, -0.31, 
##     -0.26, -0.16, -0.08, -0.02, 0.11, 0.06, 0.03, -0.02, 0, -0.02, 
##     -0.03, 0.08, 0.11, 0.11, 0.13, 0.1, 0.05, -0.02, 0, -0.05, 
##     -0.08, -0.18, -0.14, -0.06, 0.03, 0.11, 0.1, 0.06, 0.08, 
##     0.08, 0.1, 0.18, 0.14, 0.11, 0.14, 0.16, 0.16, 0.1, 0.06, 
##     0.05, -0.05, -0.05, -0.08, -0.13, -0.11, -0.06, -0.03, 0.02, 
##     0.03, 0, -0.05, -0.02, 0.02, 0, -0.02, 0, 0.24, 0.31, 0.34, 
##     0.24, 0.22, 0.34, 0.31, 0.29, 0.21, 0.1, 0.03, 0.06, 0.13, 
##     0.11, 0.08, 0.1, 0.11, 0.11, 0.11, 0.1, 0.1, 0.1, 0.1, 0.1, 
##     0.1, 0.11, 0.16, 0.18, 0.19, 0.14, 0.13, 0.14, 0.03, 0.03, 
##     0.08, 0.1, 0.13, 0.18, 0.22, 0.21, 0.21, 0.21, 0.19, 0.18, 
##     0.18, 0.18, 0.18, 0.14, 0.18, 0.18, 0.19, 0.16, 0.16, 0.16, 
##     0.14, 0.13, 0.14, 0.14, 0.14, 0.14, 0.18, 0.18, 0.18, 0.16, 
##     0.14, 0.16, 0.14, 0.14, 0.13, 0.14, 0.16, 0.18, 0.18, 0.18, 
##     0.22, 0.24, 0.24, 0.27, 0.26, 0.24, 0.22, 0.22, 0.22, 0.22, 
##     0.22, 0.21, 0.21, 0.19, 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.16, 0.1, 0.08, 0.08, 0.11, 0.16, 0.16, 0.16, 0.16, 
##     0.11, 0.1, 0.08, 0.08, 0.02, 0, 0, 0, -0.05, -0.05, -0.05, 
##     -0.08, -0.08, -0.11, -0.08, -0.11, -0.14, -0.19, -0.21, -0.27, 
##     -0.29, -0.24, -0.05, -0.06, -0.19, -0.14, -0.11, -0.06, -0.05, 
##     0, -0.03, -0.03, 0.02, 0.05, 0.02, 0, -0.03, -0.08, -0.13, 
##     -0.13, -0.16, -0.14, -0.03, -0.18, -0.16, -0.19, -0.22, -0.1, 
##     -0.06, -0.03, -0.02, -0.03, -0.08, -0.1, -0.11, -0.11, -0.13, 
##     -0.14, -0.19, -0.19, -0.19, -0.14, -0.13, -0.08, -0.03, 0.02, 
##     -0.02, -0.02, -0.02, -0.06, -0.11, -0.19, -0.18, -0.08, 0.05, 
##     0.22, 0.42, 0.29, 0.14, 0.11, 0.13, 0.08, 0, -0.03, 0.22, 
##     0.21, 0.16, 0.16, 0.08, 0.03, -0.03, 0.1, -0.1, -0.19, -0.16, 
##     -0.11, -0.11, -0.11, -0.11, -0.16, -0.14, -0.16, -0.18, -0.19, 
##     1.17, 1.06, 0.82, 0.71, 0.63, 1.27, 1.3, 1.35, 1.35, 1, 0.74, 
##     0.26, -0.4, -0.69, -0.79, -0.72, -0.63, -0.51, -0.39, 0.05, 
##     0.39, 0.34, 0.19, 0.29, 0.39, 0.4, 0.92, 1.04, 1.25, 1.17, 
##     1.17, 1.24, 1.19, 1.12, 1.09, 1.01, 0.92, 0.87, 0.77, 0.74, 
##     0.9, 1.3, 1.46, 1.41, 0.19, 0.1, -0.02, -0.31, -0.39, 0.19, 
##     -0.18, -0.18, -0.26, -0.29, -0.32, -0.39, -0.21, -0.1, 0.05, 
##     0.02, -0.06, -0.16, -0.24, -0.22, -0.19, -0.02, 0.16, 0.26, 
##     0.5, 0.27, 0.4, 0.61, 0.66, 0.69, 0.72, 0.72, 0.51, 0.66, 
##     0.56, 0.63, 0.61, 1.09, 1.3, 1.28, 1.01, 1.06, 0.79, 0.59, 
##     0.06, -0.32, -0.53, -0.53, -0.48, -0.56, -0.5, -0.43, -0.19, 
##     -0.06, 0.1, 0.34, 0.37, 0.67, 1.03, 1.09, 1.04, 0.66, 0.5, 
##     0.37, 0.39, 0.51, 0.53, 0.48, 0.47, 0.21, 0.24, 0.24, 0.26, 
##     0.26, 0.26, 0.32, 0.32, 0.37, 0.42, 0.35, 0.4, 0.42, 0.4, 
##     0.34, 0.32, 0.5, 0.42, 0.42, 0.42, 0.42, 0.42, 0.42, 0.42, 
##     0.42, 0.42, 0.42, 0.42, 0.42, 0.42, 0.42, 0.42, 0.42, 0.42, 
##     0.42, 0.42, 0.42, 0.42, 0.42, 0.42, 0.42, 0.42, -1.53, -1.49, 
##     -1.11, -0.92, -0.72, -0.24, 0.22, 0.29, 0.48, 0.55, 0.53, 
##     0.51, 0.55, 0.63, 0.61, 0.58, 0.48, 0.43, 0.59, 0.64, 0.79, 
##     0.63, 0.72, 0.88, 1.17, 1.24, 1.38, 1.54, -1.41, -1.43, -1.72, 
##     -1.67, -1.69, -1.81, -1.67, -1.43, -1.3, -1.19, -1.04, -0.93, 
##     -0.69, -0.67, -0.51, -0.47, -0.37, -0.21, -0.02, 0.63, 0.56, 
##     1.53, 1.49, 1.61, 1.51, 1.43, 1.35, 1.3, 1.22, 1.24, 1.17, 
##     1.06, 1, 1.06, 0.82, 0.72, 0.72, 0.8, 0.88, 0.79, 0.66, 0.51, 
##     0.5, 0.4, 0.32, 0.21, -0.02, -0.24, 0.85, 0.92, 0.95, 0.75, 
##     0.55, 0.43, 0.39, 0.34, 0.31, 0.05, -0.08, -0.16, -0.21, 
##     -0.24, -0.42, -0.88, -0.93, -1.04, -1.25, -1.28, 0.64, 0.66, 
##     0.75, 0.9, 0.83, 0.85, 0.96, 0.95, 1.12, 1.09, 1.08, 1.09, 
##     1.24, 1.28, 1.28, 1.27, 1.24, 1.19, 0.87, 0.79, 0.67, 0.92, 
##     0.79, 0.74, 0.72, 0.69, 0.66, 0.69, 0.69, 0.64, 0.58, 0.55, 
##     0.55, 0.51, 0.45, 0.43, 0.51, 0.5, 0.51, 0.43, 0.42, 0.34, 
##     -0.59, -0.58, 0.13, 0.21, 0.43, 0.59, 0.92, 0.95, 0.24, 0.37, 
##     0.48, 0.66, 0.5, 0.42, 0.37, 0.14, 0.64, 0.5, 0.37, 0.31, 
##     0.53, 0.66, 0.82, 0.64, 0.66, 0.72, 0.43, 0.42, 0.43, 0.4, 
##     0.43, 0.45, 0.5, 0.45, 0.5, 0.48, 0.55, 0.56, 0.47, 0.42, 
##     0.39, 0.39, 0.21, -0.02, -0.02, 0.35, 0.47, 0.31, 0.06, 0.03, 
##     0.03, 0.05, 0.03, 0.03, 0.03, 0.03, 0, 0, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, 0.34, 0.14, 0.1, 0.02, -0.03, -0.03, -0.03, 
##     -0.05, -0.06, -0.08, -0.08, -0.11, -0.13, -0.18, -0.19, -0.22, 
##     -0.24, -0.24, -0.27, -0.29, -0.24, -0.13, 0, -0.05, -0.05, 
##     -0.29, -0.26, -0.08, -0.11, -0.1, -0.05, -0.11, -0.18, -0.31, 
##     -0.34, -0.35, -0.34, -0.39, -0.45, -0.35, -0.32, -0.26, -0.22, 
##     -0.18, -0.13, -0.11, -0.29, -0.43, -0.4, -0.35, -0.29, -0.19, 
##     -0.19, -0.27, -0.29, -0.32, -0.27, -0.16, -0.05, 0.1, 0.21, 
##     0.21, 0.22, 0.26, 0.37, 0.53, 0.61, 0.9, 0.69, 0.59, -0.14, 
##     -0.18, -0.16, -0.08, -0.05, -0.11, -0.11, -0.16, -0.16, -0.22, 
##     -0.26, -0.29, -0.26, -0.29, -0.26, -0.26, -0.18, -0.14, -0.02, 
##     0.03, 0.06, 0.1, 0.06, -0.03, -0.32, -0.35, -0.32, -0.29, 
##     -0.24, -0.21, -0.08, -0.05, -0.06, -0.06, -0.08, -0.11, -0.1, 
##     -0.14, -0.22, -0.21, -0.1, 0.1, 0.13, 0.1, 0.05, 0.11, 0.29, 
##     0.18, 0.14, -0.05, -0.14, -0.18, -0.19, -0.18, -0.18, -0.06, 
##     -0.05, -0.08, -0.08, -0.1, -0.08, -0.05, -0.1, -0.06, -0.05, 
##     -0.02, 0.11, 0.03, -0.02, -0.05, -0.13, -0.19, -0.24, -0.32, 
##     -0.27, -0.29, -0.35, -0.42, -0.42, -0.37, -0.27, 0.05, 0.11, 
##     0.13, 0.08, 0.03, -0.08, -0.08, -0.18, -0.27, -0.27, -0.11, 
##     0, 0.03, 0.08, 0.16, 0.26, 0.56, 0.72, 0.69, -0.24, -0.14, 
##     -0.06, -0.05, -0.06, -0.05, -0.03, -0.03, 0.02, 0.11, 0.08, 
##     0.02, -0.03, -0.03, -0.21, -0.29, -0.32, -0.39, -0.43, -0.48, 
##     -0.48, -0.37, -0.26, -0.21, -0.16, 0.82, 0.96, 1.04, 1.04, 
##     1.09, 1.09, 1.09, 0.96, 0.82, 0.77, 0.79, 0.71, 0.59, 0.58, 
##     0.53, 0.56, 0.45, 0.45, 0.37, 0.34, 0.43, 0.48, 0.29, -0.48, 
##     -0.45, 0.4, 0.95, 0.95, 0.83, 0.8, 0.74, 0.59, 0.61, 0.66, 
##     0.55, 0.66, 0.55, 0.67, 0.74, 0.42, 0.19, 0.26, 0.24, 0.14, 
##     0.16, 0.19, 0.21, 0, 0, 0.1, 0.26, 0.4, 0.51, 0.69, 0.75, 
##     0.8, 0.72, 0.88, 0.77, 0.66, 0.59, 0.66, 0.83, 0.8, 0.85, 
##     0.85, 0.75, 0.77, 0.77, 0.75, 0.75, 0.63, 0.24, -0.53, -0.58, 
##     -0.47, -0.13, 0.13, 0.93, 1.17, 0.96, 0.83, 0.74, 0.5, 0.48, 
##     0.45, 0.71, 0.55, 0.53, 0.53, 0.48, 0.43, 0.37, 0.34, 0.29, 
##     0.29, 0.29, 0.37, 0.4, 0.4, 0.29, 0.16, 0, -0.1, -0.29, -0.1, 
##     0.06, 0.06, 0.08, 0.29, 0.43, 0.53, 0.64, 0.67, 0.64, 0.69, 
##     0.59, 0.59, 0.55, 0.64, 0.63, 0.58, 0.53, 0.51, 0.51, 0.47, 
##     0.43, 0.42, 0.42, 0.43, 0.4, 0.32, 0.42, 0.37, 0.45, 0.43, 
##     0.42, 0.4, 0.45, 0.39, 0.35, 0.42, 0.45, 0.48, 0.5, 0.5, 
##     0.51, 0.5, 0.48, 0.45, 0.39, 0.39, 0.39, 0.4, 0.61, 0.58, 
##     0.56, 0.48, 0.42, 0.4, 0.4, 0.43, 0.45, 0.47, 0.48, 0.58, 
##     0.56, 0.48, 0.45, 0.4, 0.45, 0.43, 0.43, 0.39, 0.4, 0.43, 
##     0.43, 0.61, 0.67, 0.56, 0.37, 0.34, 0.34, 0.37, 0.61, 0.64, 
##     0.63, 0.63, 0.53, 0.48, 0.56, 0.56, 0.63, 0.66, 0.63, 0.56, 
##     0.53, 0.55, 0.56, 0.45, 0.47, 0.5, 0.53, 0.59, 0.43, 0.26, 
##     0.27, 0.34, 0.34, 0.35, 0.39, 0.5, 0.53, 0.53, 0.45, 0.47, 
##     0.47, 0.4, 0.42, 0.4, 0.37, 0.45, 0.31, 0.29, 0.27, 0.26, 
##     0.21, 0.05, 0.02, 0.05, 0.06, 0.13, 0.35, 0.47, 0.53, 0.53, 
##     0.48, 0.45, 0.48, 0.48, 0.48, 0.45, 0.55, 0.58, 0.64, 0.72, 
##     0.48, 0.55, 0.37, 0.35, 0.34, 0.39, 0.43, 0.58, 0.45, 0.34, 
##     0.34, 0.39, 0.43, 0.47, 0.51, 0.55, 0.56, 0.55, 0.53, 0.53, 
##     0.53, 0.51, 0.4, 0.4, 0.43, 0.5, 0.5, 0.47, 0.43, 0.42, 0.45, 
##     0.4, 0.39, 0.26, 0.22, 0.26, 0.29, 0.35, 0.45, 0.61, 0.58, 
##     0.53, 0.51, 0.55, 0.56, 0.58, 0.66, 0.53, 0.64, 0.61, 0.59, 
##     0.56, 0.59, 0.63, 0.53, 0.39, 0.24, 0.48, 0.55, 0.61, 0.58, 
##     0.51, 0.42, 0.43, 0.48, 0.47, 0.4, 0.4, 0.45, 0.53, 0.59, 
##     0.58, 0.45, 0.39, 0.32, 0.29, 0.35, 0.32, 0.32, 0.22, 0.1, 
##     0.19, 0.32, 0.45, 0.56, 0.53, 0.45, 0.51, 0.58, 0.59, 0.64, 
##     0.71, 0.5, 0.5, 0.45, 0.26, 0.31, 0.53, 0.53, 0.56, 0.51, 
##     0.5, 0.51, 0.47, 0.37, 0.43, 0.45, 0.48, 0.5, 0.47, 0.48, 
##     0.43, 0.48, 0.48, 0.58, 0.55, 0.56, 0.58, 0.56, 0.55, 0.56, 
##     0.45, 0.42, 0.34, 0.32, 0.35, 0.34, 0.42, 0.42, 0.51, 0.55, 
##     0.56, 0.56, 0.55, 0.47, 0.47, 0.42, 0.47, 0.95, 0.95, 0.95, 
##     0.95, 0.95, 0.95, 1.11, 1.11, 1.11, 1.11, 1.24, 1.03, 0.95, 
##     0.79, 0.18, 0.18, 0.18, 0.18, 0.18, 0.18, 0.18, 0.18, 0.18, 
##     0.18, 0.18, 0.08, 0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0.02, -0.06, 
##     -0.05, 0.26, 0.34, 0.4, 0.29, 0.19, 0.18, 0.21, 0.58, 0.92, 
##     0.79, 0.55, 0.55, 0.55, 0.55, 0.55, 0.55, 0.55, 0.55, 0.55, 
##     0.55, 0.55, 0.55, 0.37, 0.22, 0.11, -0.05, 0.02, 0.06, 0.06, 
##     0.13, 0.18, 0.39, 0.39, 0.37, 0.29, 0.19, 0.19, 0.19, 0.19, 
##     0.11, 0.03, 0, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.29, 
##     0.37, 0.45, 0.47, 0.47, 0.47, 0.47, 0.35, 0.29, 0.22, 0.05, 
##     0.1, 0.19, 0.11, 0.11, 0.05, 0, -0.05, -0.06, -0.11, -0.16, 
##     -0.02, 0.14, 0.47, 0.51, 0.51, 0.48, 0.42, 0.34, 0.24, 0.05, 
##     -0.13, -0.13, -0.02, 0.1, 0.1, 0.08, -0.02, -0.02, -0.02, 
##     -0.02, 0, 0.1, 0.1, 0.11, 0.08, -0.03, -0.08, -0.05, 0.29, 
##     0.43, 0.35, 0.29, 0.26, 0.14, 0.1, 0.08, 0.03, -0.08, -0.06, 
##     0.06, -0.08, 0.18, 0.14, 0.11, 0.02, 0.03, 0.05, 0.02, 0.06, 
##     0.45, 0.55, 0.58, 0.55, 0.39, 0.21, -0.05, -0.08, -0.08, 
##     0, 0.02, -0.06, -0.1, -0.13, -0.14, -0.19, -0.03, -0.03, 
##     0, 0.03, 0.06, 0.19, 0.22, 0.24, 0.27, 0.32, 0.16, 0.13, 
##     0.1, 0.02, -0.05, -0.22, -0.1, -0.18, 0, 0.06, 0.14, 0.21, 
##     0.19, 0.16, 0.1, 0.05, 0.1, 0.22, 0.31, 0.42, 0.43, 0.4, 
##     0.32, 0.13, -0.13, -0.13, -0.02, 0.05, 0.1, 0.1, 0.05, 0.02, 
##     -0.02, -0.02, -0.02, -0.03, -0.05, -0.11, -0.13, -0.11, -0.1, 
##     -0.16, -0.16, -0.06, 0.02, 0.19, 0.35, 0.32, 0.42, 0.39, 
##     0.16, 0.13, 0.1, -0.05, -0.11, -0.16, 0.1, 0.1, 0.22, 0.22, 
##     0.22, 0.22, 0.22, 0.22, 0.22, 0.22, 0.22, 0.22, 0.22, 0.22, 
##     0.22, 0.22, 0.22, 0.22, 0.22, 0.22, 0.14, 0.05, -0.03, -0.08, 
##     -0.16, -0.26, -0.27, -0.05, 0.1, 0.16, 0.21, 0.21, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 0.21, 
##     0.32, 0.34, 0.37, 0.37, 0.37, 0.37, 0.37, 0.37, 0.37, 0.37, 
##     0.37, 0.37, 0.42, 0.58, 0.63, 0.63, 0.48, 0.37, 0.27, 0.21, 
##     0.21, 0.21, 0.08, 0.03, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.02, -0.03, -0.02, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0.02, -0.02, -0.02, 0, 0.03, 0.06, 
##     0.06, 0.08, 0.11, 0.11, 0.11, 0.14, 0.13, 0.14, 0.13, 0.13, 
##     0.11, 0.11, 0.14, 0.21, 0.21, 0.27, 0.24, 0.21, 0.18, 0, 
##     -0.03, -0.06, -0.06, -0.06, -0.1, -0.16, -0.19, -0.16, -0.1, 
##     -0.08, -0.11, -0.13, -0.13, -0.06, -0.02, -0.06, -0.08, -0.06, 
##     -0.14, -0.13, -0.05, -0.06, -0.06, -0.05, -0.05, -0.02, 0.05, 
##     0.06, 0.02, 0, -0.02, -0.1, -0.1, 0, 0.05, 0.03, 0.03, 0.05, 
##     0.05, 0.06, 0.1, 0.21, 0.26, 0.19, 0.14, 0.14, 0.14, 0.14, 
##     0.14, 0.1, 0.05, -0.02, -0.11, -0.16, -0.22, -0.18, -0.26, 
##     -0.24, -0.13, -0.14, -0.19, -0.14, -0.18, -0.08, -0.1, -0.08, 
##     -0.03, -0.03, -0.02, -0.02, 0.02, -0.03, 0.03, 0.02, -0.06, 
##     0, -0.13, -0.14, -0.11, -0.19, -0.16, -0.13, 0.05, 0.14, 
##     0.02, 0.03, -0.11, -0.16, -0.16, -0.24, -0.27, 0.02, 0, -0.06, 
##     -0.1, -0.1, -0.05, 0.03, 0.02, 0.03, 0.06, 0.08, 0.08, 0.1, 
##     0.11, 0.11, 0.13, 0.16, 0.14, 0.13, 0.11, 0.1, 0.05, 0.06, 
##     0.06, 0.06, 0.11, 0.13, 0.14, 0.11, 0.03, -0.02, -0.05, -0.08, 
##     -0.06, -0.11, -0.13, -0.1, -0.08, -0.08, -0.16, -0.05, 0, 
##     -0.08, -0.02, 0.02, -0.05, -0.08, 0, -0.06, -0.1, -0.11, 
##     0.05, 0.02, 0.03, 0.03, 0.05, -0.02, -0.02, 0.03, 0.05, 0.08, 
##     0.08, 0.06, 0.05, 0.05, 0.08, 0.11, 0.13, 0.14, 0.14, 0.13, 
##     0.14, 0.11, 0.1, 0.06, -0.03, -0.06, 0.02, -0.05, -0.06, 
##     0.02, -0.11, -0.08, -0.14, 0.02, 0.02, 0.03, -0.02, 0, 0.02, 
##     -0.21, -0.13, 0, 0.16, 0.19, 0.26, -0.03, -0.05, -0.05, -0.03, 
##     0.06, 0.11, 0.21, 0.24, 0.22, 0.19, 0.13, 0.06, -0.03, -0.06, 
##     -0.1, -0.11, -0.14, -0.13, -0.26, -0.24, -0.39, -0.26, -0.21, 
##     -0.18, -0.02, 0.08, 0.08, 0, -0.06, -0.05, 0, 0.11, 0.06, 
##     0.03, 0.08, 0.02, 0.08, -0.13, 0.02, 0.02, 0.02, 0.06, 0.1, 
##     0.06, 0.05, 0.05, 0.08, 0.08, 0.19, 0.21, 0.22, -0.03, -0.13, 
##     -0.16, -0.18, -0.19, -0.19, -0.08, -0.08, -0.1, -0.13, -0.1, 
##     -0.06, -0.02, -0.14, -0.05, 0, -0.06, -0.08, -0.1, -0.03, 
##     0.18, 0.05, 0.08, 0.08, -0.03, -0.06, -0.1, -0.11, -0.05, 
##     0, 0.02, 0.08, 0.05, 0.08, 0.06, 0.08, 0.08, 0.08, 0.06, 
##     0.08, 0.1, 0.18, 0.22, 0.21, 0.22, 0.24, 0.21, 0.18, 0.1, 
##     -0.02, -0.11, -0.18, -0.21, -0.22, -0.21, 0.08, 0.1, 0.1, 
##     0.08, 0.13, 0.18, 0.18, 0.21, 0.22, 0.22, 0.19, 0.18, 0.14, 
##     0.02, -0.06, -0.11, -0.14, -0.24, -0.06, -0.06, -0.03, 0, 
##     -0.02, -0.03, 0.02, 0, 0.02, 0.08, 0.06, 0.06, 0.08, -0.03, 
##     -0.1, -0.11, -0.08, -0.03, -0.02, 0.03, 0.06, 0.02, 0, 0.02, 
##     0, -0.02, -0.02, 0, 0.03, 0.08, 0.18, 0.29, 0.32, 0.31, 0.24, 
##     0.1, -0.02, -0.08, -0.13, -0.18, -0.22, -0.22, -0.21, -0.22, 
##     -0.13, -0.13, -0.11, -0.13, -0.14, -0.06, -0.11, -0.08, -0.1, 
##     -0.1, -0.03, -0.02, -0.05, 0, 0.08, 0.05, -0.02, 0.02, 0, 
##     0, 0.03, 0.03, 0.03, 0.05, 0.05, 0.05, 0.03, 0.02, 0.02, 
##     0.02, 0, 0, -0.02, -0.02, -0.02, 0, -0.02, -0.02, 0, 0, -0.02, 
##     0, 0, 0.02, 0.03, 0.03, 0.03, 0.45, 0.48, 0.55, 0.66, 0.59, 
##     0.47, 0.35, 0.66, 0.64, 0.63, 0.58, 0.47, 0.16, 0.47, 0.8, 
##     0.77, 0.79, 0.92, 0.96, 1.11, 1.19, 1.14, 1.11, 1.09, 1.12, 
##     1.19, 1.25, 1.35, 1.28, 1.19, 0.9, 0.83, 0.75, 0.51, 0.4, 
##     0.27, 0.22, 0.16, 0.08, 0.05, -0.03, 0.02, 0.18, 0.24, 0.35, 
##     0.32, 0.35, 0.48, 0.47, 0.45, 0.45, 0.48, 0.5, 0.45, 0.43, 
##     0.4, 0.39, 0.39, 0.37, 0.35, 0.34, 0.34, 0.35, 0.37, 0.39, 
##     0.39, 0.37, 0.35, 0.34, 0.35, 0.39, 0.4, 0.37, 0.32, 0.32, 
##     0.32, 0.29, 0.31, 0.31, 0.34, 0.37, 0.37, 0.35, 0.37, 0.37, 
##     0.37, 0.35, 0.34, 0.32, 0.39, 0.56, 0.47, 0.4, 0.35, 0.31, 
##     0.22, 0.32, 0.35, 0.37, 0.37, 0.34, 0.35, 0.39, 0.37, 0.31, 
##     0.35, 0.32, 0.37, 0.45, 0.47, 0.47, 0.45, 0.31, 0.29, 0.21, 
##     0.19, 0.21, 0.16, 0.11, 0.06, 0.13, 0.19, 0.22, 0.31, 0.29, 
##     0.34, 0.37, 0.39, 0.42, 0.39, 0.39, 0.39, 0.4, 0.42, 0.43, 
##     0.43, 0.4, 0.39, 0.39, 0.4, 0.39, 0.27, 0.26, 0.21, 0.18, 
##     0.32, 0.47, 0.58, 0.56, 0.45, 0.55, 0.55, 0.58, 0.61, 0.61, 
##     0.51, 0.39, 0.22, 0.13, 0.03, 0.06, 0.14, 0.19, 0.21, 0.21, 
##     0.39, 0.42, 0.39, 0.39, 0.39, 0.35, 0.32, 0.35, 0.4, 0.5, 
##     0.51, 0.55, 0.61, 0.67, 0.58, 0.29, 0.29, 0.22, 0.24, 0.39, 
##     0.4, 0.39, 0.35, 0.39, 0.48, 0.51, 0.55, 0.67, 0.08, 0.14, 
##     0.16, 0.16, 0.14, 0.1, 0.14, 0.18, 0.18, 0.14, 0.14, 0.19, 
##     0.22, 0.29, 0.27, 0.21, 0.29, 0.42, 0.45, 0.48, 0.5, 0.47, 
##     0.43, 0.35, 0.34, 0.35, 0.32, 0.32, 0.37, 0.22, 0.22, 0.27, 
##     0.42, 0.48, 0.35, 0.24, 0.21, 0.31, 1.06, 0.59, 0.1, 0.06, 
##     0.1, 0.18, 0.24, 0.21, 0.16, 0.11, 0.11, 0.11, 0.13, 0.1, 
##     0.08, 0.03, 0.11, 0.14, 0.19, 0.22, 0.29, 0.29, 0.37, 0.39, 
##     0.42, 0.39, 0.39, 0.39, 0.43, 0.19, 0.18, 0.29, 0.45, 0.47, 
##     0.35, 0.45, 0.5, 0.66, 0.74, 0.37, 0.14, 0.06, 0.14, 0.05, 
##     0, 0.11, 0.11, 0.13, 0.16, 0.22, 0.43, 0.43, 0.47, 0.5, 0.47, 
##     0.43, 0.43, 0.47, 0.42, 0.42, 0.43, 0.53, 0.43, 0.39, 0.47, 
##     0.32, 0.27, 0.4, 0.67, 0.72, 0.79, 0.75, 0.42, 0.19, 0.16, 
##     0.08, 0.03, 0.02, 0, 0.03, 0.08, 0.11, 0.11, 0.11, 0.1, 0.11, 
##     0.24, 0.29, 0.31, 0.43, 0.47, 0.45, 0.5, 0.48, 0.43, 0.45, 
##     0.42, 0.39, 0.4, 0.42, 0.37, 0.39, 0.29, 0.42, 0.4, 0.55, 
##     0.34, 0.29, 0.45, 0.53, 0.85, 0.05, -0.03, 0.03, 0.19, 0.24, 
##     0.21, 0.11, 0.29, 0.31, 0.26, 0.21, 0.22, 0.24, 0.26, 0.27, 
##     0.42, 0.47, 0.48, 0.58, 0.63, 0.93, 0.95, 0.9, 0.87, 0.71, 
##     0.53, 0.39, 0.32, 0.13, -0.06, 0, 0.02, 0.18, 0.27, 0.77, 
##     0.74, 0.53, 0.22, 0.16, 0.14, 0.14, 0.16, 0.21, 0.16, 0.18, 
##     0.16, 0.21, 0.27, 0.26, 0.18, 0.16, 0.21, 0.29, 0.51, 0.56, 
##     0.42, 0.42, 0.43, 0.4, 0.47, 0.31, 0.43, 0.37, 0.42, 0.48, 
##     0.53, 0.53, 0.37, 0.37, 0.59, 0.56, 0.58, 0.55, 0.48, 0.35, 
##     0.27, 0.1, 0.08, 0.14, 0.16, 0.03, 0.03, 0.08, 0.24, 0.29, 
##     0.35, 0.42, 0.43, 0.48, 0.53, 0.5, 0.43, 0.32, 0.32, 0.34, 
##     0.37, 0.37, 0.4, 0.34, 0.27, 0.26, 0.21, 0.21, 0.27, 0.24, 
##     0.26, 0.32, 0.4, 0.47, 0.53, 0.59, 0.53, 0.64, 0.64, 0.79, 
##     0.67, 0.59, 0.32, 0.31, 0.31, 0.27, 0.22, 0.22, 0.24, 0.26, 
##     0.24, 0.22, 0.39, 0.34, 0.32, 0.35, 0.37, 0.34, 0.32, 0.35, 
##     0.34, 0.34, 0.35, 0.34, 0.32, 0.34, 0.34, 0.34, 0.34, 0.34, 
##     0.34, 0.34, 0.34, 0.32, 0.34, 0.35, 0.35, 0.35, 0.35, 0.39, 
##     0.42, 0.4, 0.34, 0.27, 0.24, 0.13, 0.05, 0.02, 0.19, 0.21, 
##     0.18, -0.13, -0.14, -0.16, 0, 0.18, 0.18, 0.18, 0.16, 0.22, 
##     0.32, 0.4, 0.48, 0.59, 0.75, 0.63, 0.59, 0.39, 0.5, 0.37, 
##     0.35, 0.22, 0.03, -0.08, -0.06, 0.03, 0.24, 0.37, 0.58, 0.64, 
##     0.67, 0.74, 0.8, 0.83, 0.87, 0.98, 1.04, 1, 1.08, 1.09, 1.01, 
##     0.82, 0.71, 0.66, 0.69, 0.67, 0.35, 0.42, 0.51, 0.48, 0.4, 
##     0.48, 0.95, 0.34, 0.34, 0.35, 0.32, 0.34, 0.35, 0.37, 0.35, 
##     0.35, 0.34, 0.37, 0.37, 0.34, 0.35, 0.35, 0.32, 0.34, 0.35, 
##     0.37, 0.39, 0.37, 0.4, 0.39, 0.39, 0.39, 0.39, 0.37, 0.37, 
##     0.4, 0.39, 0.37, -0.29, -0.16, -0.05, 0.05, 0.06, 0.05, 0.02, 
##     0.06, 0.11, 0.08, 0.13, 0.08, 0.05, 0.1, 0.1, 0.08, 0.13, 
##     0.18, 0.26, 0.32, 0.4, 0.59, 0.71, 0.98, 1.09, 1.04, 0.8, 
##     0.43, 0.29, 0.18, 0, -0.13, -0.1, -0.08, -0.02, 0.02, 0.05, 
##     0.06, 0.1, 0.1, 0.1, 0.16, 0.24, 0.29, 0.34, 0.34, 0.53, 
##     0.59, 0.71, 1.03, 1.33, 1.43, 1.59, 0.39, 0.37, 0.27, 0.22, 
##     0.13, 0.06, 0.03, 0.05, 0.18, 0.19, 0.24, 0.24, 0.22, 0.14, 
##     0.13, 0.14, 0.16, 0.18, 0.16, 0.19, 0.22, 0.26, 0.24, 0.19, 
##     0.16, 0.16, 0.14, 0.16, 0.08, -0.02, -0.1, -0.13, -0.42, 
##     -0.43, -0.5, -0.64, -0.58, -0.26, -0.22, -0.06, -0.11, -0.14, 
##     -0.16, -0.11, -0.11, -0.11, -0.13, -0.1, 0.29, 0.27, 0.06, 
##     0.11, 0.19, 0.29, 0.16, 0.16, 0.19, 0.19, 0.14, 0.08, 0.08, 
##     0.06, 0.06, 0.08, 0.16, 0.18, 0.19, 0.24, 0.19, 0.19, 0.22, 
##     0.16, 0.16, 0.13, 0.13, 0.14, 0.13, 0.03, 0.03, 0.03, 0.06, 
##     0.06, 0.14, 0.14, 0.13, 0.18, 0.22, 0.21, 0.18, 0.21, 0, 
##     -0.02, -0.03, 0.1, 0.11, 0.11, 0.1, 0.11, 0.16, 0.1, 0.11, 
##     0.11, 0.08, 0.03, 0.06, 0, 0.02, 0, 0.02, 0.03, 0.11, 0.1, 
##     0.11, 0.16, 0.18, 0.18, 0.11, 0.11, 0.1, 0.02, -0.02, -0.02, 
##     0.05, 0.05, 0.05, 0.06, 0.05, 0.05, 0.05, 0.05, 0.08, 0.1, 
##     0.18, 0.19, 0.21, 0.22, 0.24, 0.29, 0.31, 0.32, 0.31, 0.22, 
##     0.18, 0.22, 0.21, 0.19, 0.05, 0.1, 0.11, 0.06, 0.19, 0.21, 
##     0.19, 0.21, 0.22, 0.22, 0.22, 0.21, 0.27, 0.27, 0.27, 0.32, 
##     0.22, 0.21, 0.19, 0.22, 0.19, 0.16, 0.14, 0.14, 0.11, 0.11, 
##     0.16, 0.16, 0.14, 0.14, 0.16, 0.14, 0.13, 0.14, 0.16, 0.14, 
##     0.11, 0.1, 0.14, 0.14, 0.11, 0.1, 0.05, 0.05, 0.08, 0.16, 
##     0.14, 0.14, 0.16, 0.13, 0, 0.06, 0.1, 0.1, 0.13, 0.13, 0.13, 
##     0.11, 0.19, 0.22, 0.24, 0.31, 0.31, 0.27, 0.18, 0.14, 0.19, 
##     0.18, 0.18, 0.14, 0.14, 0.13, 0.13, 0.11, 0.1, 0.08, 0.08, 
##     0.06, 0.06, 0.06, 0.08, 0.08, 0.06, 0.16, 0.18, 0.22, 0.31, 
##     0.34, 0.32, 0.27, 0.24, 0.11, 0.02, -0.03, -0.02, 0.06, 0.05, 
##     0.11, 0.16, 0.16, 0.13, 0.08, 0.13, 0.14, 0.08, 0.08, 0.11, 
##     0.16, 0.22, 0.22, 0.16, 0.08, 0.08, 0.16, 0.18, 0.18, 0.21, 
##     0.24, 0.29, 0.22, -0.08, -0.18, -0.19, -0.16, 0.08, 0.19, 
##     0.22, 0.26, 0.29, 0.27, 0.27, 0.27, 0.22, 0.19, 0.19, 0.26, 
##     0.26, 0.22, 0.18, 0.18, 0.21, 0.22, 0.13, 0.16, 0.13, 0.11, 
##     0.13, 0.13, 0.1, 0.08, 0.1, 0.1, 0.11, 0.06, 0.02, 0.05, 
##     0.06, 0, -0.03, 0.02, 0.08, 0.08, 0.14, 0.14, 0.16, 0.16, 
##     0.19, 0.19, 0.14, 0.14, 0.14, 0.13, 0.13, 0.14, 0.13, 0.19, 
##     0.26, 0.31, 0.29, 0.24, 0.19, 0.14, 0.11, 0.1, 0.1, 0.05, 
##     0.03, -0.13, -0.18, -0.24, -0.14, -0.11, -0.1, -0.05, 0, 
##     0.05, 0.08, 0.16, 0.26, 0.24, 0.24, 0.24, 0.24, 0.26, 0.22, 
##     0.22, 0.22, 0.21, 0.19, 0.19, 0.19, 0.18, 0.13, 0.19, 0.39, 
##     0.5, 0.45, 0.26, 0.21, 0.21, 0.21, 0.16, 0.16, 0.19, 0.24, 
##     0.26, 0.27, 0.26, 0.19, 0.13, 0.03, -0.05, 0.11, 0.16, 0.18, 
##     0.14, 0.16, 0.18, 0.21, 0.22, 0.24, 0.22, 0.24, 0.26, 0.26, 
##     0.26, 0.24, 0.22, 0.19, 0.21, 0.24, 0.24, 0.24, 0.19, 0.18, 
##     0.16, 0.13, 0.1, 0.08, 0.06, 0.05, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.1, 0.11, 0.03, 0.05, 0, 0.02, 0.1, 0.18, 0.14, 
##     0.08, 0.05, 0.1, -0.05, -0.05, -0.05, 0.06, 0.32, 0.19, 0.08, 
##     0.18, 0.13, 0.13, 0.18, 0.29, 0.32, 0.31, 0.27, 0.05, 0.05, 
##     0.06, 0.1, 0.1, 0.13, 0.16, 0.22, 0.19, 0.19, 0.19, 0.21, 
##     0.27, 0.29, 0.27, 0.31, 0.29, 0.26, 0.24, 0.21, 0.19, 0.18, 
##     0.16, 0.14, 0.1, 0.1, 0.06, 0.05, 0.08, 0.1, 0.08, 0.05, 
##     0.02, -0.02, 0.03, 0.06, 0.06, 0.1, 0.13, 0.13, 0.08, 0.08, 
##     0.13, 0.24, 0.16, 0.14, 0.02, 0.18, 0.16, 0.14, 0.16, 0.14, 
##     0.13, 0.11, 0.11, 0.14, 0.18, 0.26, 0.19, 0.14, 0.11, 0.11, 
##     0.13, 0.08, 0.08, 0.13, 0.16, 0.11, 0.05, 0.03, 0.03, 0.1, 
##     0.08, 0.19, 0.26, 0.24, 0.22, 0.24, 0.24, 0.19, 0.11, 0.1, 
##     0.08, 0.13, 0.16, 0.19, 0.26, 0.21, 0.16, 0.08, 0.08, 0.06, 
##     0.08, 0.1, 0.05, 0.06, 0.02, 0.13, 0.13, 0.16, 0.24, 0.55, 
##     0.39, 0.21, 0, -0.03, -0.05, -0.02, 0.1, 0.05, 0.06, 0.18, 
##     0.16, 0.11, 0.1, 0.1, 0.08, 0.08, 0.08, 0.13, 0.16, 0.21, 
##     0.22, 0.14, 0.11, 0.13, 0.14, 0.08, 0.1, 0.1, 0.1, 0, 0, 
##     0.03, 0.06, 0.1, 0.14, 0.24, 0.29, 0.31, 0.1, 0.06, -0.02, 
##     -0.02, 0, 0.05, 0.06, 0.1, 0.14, 0.18, 0.27, 0.19, 0.18, 
##     0.16, 0.13, 0.1, 0.14, 0.16, 0.11, 0.19, 0.18, 0.19, 0.19, 
##     0.21, 0.02, 0.21, 0.21, 0.18, 0.16, 0.14, 0.16, 0.22, 0.32, 
##     0.37, 0.27, 0.27, 0.29, 0.27, 0.29, 0.29, 0.29, 0.26, 0.21, 
##     0.19, 0.16, 0.16, 0.16, 0.16, 0.13, 0.13, 0.14, 0.14, 0.13, 
##     1.73, 1.64, 1.38, 1.27, 1.08, 0.95, 0.79, 0.71, 0.43, 0.48, 
##     0.53, 0.45, 0.47, 0.5, 0.47, 0.39, 0.39, 0.29, 0.16, -0.08, 
##     -0.37, 0.14, 0.37, 0.14, 0.16, 0.16, 0.19, 0.22, 0.26, 0.27, 
##     0.31, 0.29, 0.11, -0.02, -0.06, -0.14, -0.61, -0.77, -0.67, 
##     -1, -0.95, -0.9, -0.72, -0.37, -0.32, 0, 0.03, 0.06, 0.16, 
##     0.21, 0.19, 0.03, 0.02, -0.02, -0.1, 0.11, 0.11, 0.1, 0.06, 
##     0.08, 0.13, 0.16, 0.18, 0.13, -0.06, 0.08, -0.02, 0, 0.06, 
##     0.11, -0.02, -0.02, -0.06, -0.1, 0.02, 0.1, 0.06, 0, 0.1, 
##     0.14, 0.1, 0.06, 0.11, 0.08, 0.05, 0.03, 0.03, 0.03, -0.02, 
##     -0.03, 0, 0, -0.05, -0.08, -0.03, -0.02, 0, -0.02, -0.05, 
##     -0.03, 0, 0, 0, 0, 0, 0, 0.11, 0.18, 0.08, -0.03, -0.03, 
##     -0.02, -0.02, -0.03, -0.02, 0.06, 0.08, 0.1, 0.02, 0, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.06, -0.06, 0.03, 
##     0.03, 0.03, -0.06, -0.08, -0.06, 0, 0.05, 0.08, 0.11, 0.14, 
##     0.18, 0.21, 0.24, 0.26, 0.19, 0.1, 0.05, 0.02, 0.03, 0.05, 
##     0.08, 0.11, 0.06, 0.02, -0.05, -0.03, 0.02, 0, -0.08, -0.08, 
##     -0.08, -0.05, -0.02, 0.02, 0, -0.02, -0.02, -0.06, 0, 0, 
##     0, -0.03, -0.1, -0.03, 0.03, 0.05, -0.05, 0.18, -0.06, -0.05, 
##     -0.02, -0.06, -0.11, -0.13, -0.11, -0.11, -0.05, 0.06, 0.08, 
##     0.1, 0.11, 0.08, 0.03, 0.03, 0.03, -0.03, -0.11, -0.14, -0.13, 
##     -0.02, 0.11, 0.14, 0.08, 0.05, 0.03, 0.03, 0.05, 0.05, 0.08, 
##     0.14, 0.14, 0.11, 0.08, 0.1, 0.11, 0.11, 0.05, 0.05, 0.06, 
##     -0.05, -0.05, -0.03, -0.05, -0.06, -0.08, -0.06, -0.05, -0.08, 
##     -0.05, 0, -0.02, -0.05, -0.05, -0.02, 0.02, 0.02, 0.02, 0.05, 
##     0.08, 0.1, 0.03, 0.05, 0.05, 0.03, 0.03, 0.1, 0.11, 0.05, 
##     0.03, 0, -0.06, -0.08, -0.13, 0.13, 0.24, 0.19, 0.11, 0.05, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0, -0.02, -0.05, -0.06, -0.1, 
##     -0.08, -0.06, -0.05, -0.1, -0.06, -0.08, -0.03, 0.02, 0.03, 
##     0, -0.06, -0.06, -0.13, -0.11, -0.05, -0.05, -0.02, -0.03, 
##     -0.02, 0.06, 0.08, 0.1, 0.13, 0.18, 0.18, 0.18, 0.18, 0.14, 
##     0.13, 0.13, 0.13, 0.13, 0.16, 0.18, 0.14, 0.14, 0.08, 0.05, 
##     -0.03, -0.03, 0, 0.03, 0, -0.14, -0.18, -0.16, -0.13, -0.1, 
##     -0.1, -0.08, -0.05, -0.02, 0, -0.02, 0.02, 0.02, 0.02, 0.06, 
##     0.1, 0.19, 0.1, -0.13, -0.11, -0.03, -0.02, -0.13, -0.13, 
##     0, 0.02, 0.06, 0.02, 0, 0, 0.02, 0, 0.02, -0.05, -0.02, 0, 
##     -0.05, -0.02, 0.05, 0.08, 0.13, 0.21, 0.21, 0.19, 0.16, 0.13, 
##     0.08, 0.08, 0.1, 0.1, 0.1, 0.02, -0.02, -0.03, 0, 0.02, -0.02, 
##     -0.06, -0.06, -0.05, -0.03, -0.03, -0.03, -0.02, 0, 0, -0.03, 
##     -0.03, 0, -0.05, -0.05, -0.03, 0.08, 0.13, 0.16, 0.11, 0.11, 
##     0, -0.02, 0, 0, -0.02, -0.02, -0.03, -0.05, 0.02, 0.02, -0.08, 
##     -0.03, -0.02, 0.11, 0.1, 0.06, 0, 0, 0.03, 0.06, -0.06, -0.08, 
##     0.08, 0.13, 0.11, 0.08, -0.08, -0.11, -0.11, -0.08, -0.08, 
##     -0.05, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0, 0, -0.03, 0, 
##     0.06, 0.24, -0.13, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, 0.1, 0.16, 0.21, 0.16, 0.13, 0.13, 0.13, 0.11, 0.05, 
##     0.03, 0.03, 0.03, 0.05, 0.06, 0.05, 0.03, -0.03, -0.05, -0.05, 
##     -0.05, -0.06, -0.05, 0, -0.06, -0.03, 0.14, 0.1, 0.1, 0.05, 
##     -0.02, 0.06, 0.06, 0.06, 0.02, -0.06, 0, 0.03, 0.05, 0.08, 
##     0.1, 0.08, 0, -0.02, 0.03, 0.08, 0.13, 0.18, 0.13, -0.02, 
##     -0.05, -0.03, -0.03, 0.02, 0.03, 0.05, 0.06, 0.08, 0.06, 
##     0.05, 0.08, 0.11, 0.1, 0.13, 0.06, 0.08, -0.1, -0.16, -0.21, 
##     -0.22, -0.16, -0.08, -0.02, 0.02, 0.03, 0.18, 0.18, 0.13, 
##     0.08, 0.06, 0.03, 0, 0.03, 0.08, 0.06, 0.06, 0.08, 0.11, 
##     0.13, 0.13, 0.14, 0.14, 0.59, 0.5, 0.32, 0.26, 0.14, 0.21, 
##     0.11, 0.29, 0.29, 0.31, 0.34, 0.35, 0.35, 0.37, 0.35, 0.35, 
##     0.37, 0.35, 0.34, 0.34, 0.35, 0.64, 0.67, 0.72, 0.77, 1.01, 
##     0.79, 0.61, 0.5, 0.14, -0.08, -0.11, -0.16, -0.16, -0.14, 
##     0.02, 0.14, -0.02, -0.06, 0.14, 0.18, 0.43, 0.61, 0.61, 0.55, 
##     0.4, 0.51, 0.45, 0.4, 0.4, 0.4, 0.42, 0.06, 0.21, 0.21, 0.24, 
##     0.24, 0.26, 0.34, 0.31, 0.32, 0.29, 0.59, 0.64, 0.32, 0.19, 
##     0.06, 0.03, -0.02, -0.05, -0.11, -0.1, 0.14, 0.16, 0.16, 
##     0.1, 0.02, -0.13, -0.18, 0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 
##     0.06, 0.06, 0.08, 0.08, 0.11, 0.13, 0.08, 0.08, 0.06, 0.03, 
##     -0.02, -0.08, -0.18, -0.18, -0.21, -0.06, 0.03, -0.03, 0.13, 
##     0.22, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, 0.55, 0.45, 0.42, 0.39, 0.32, 0.24, 
##     0.32, 0.48, 0.55, 0.45, 0.51, 0.55, 0.67, 0.63, 0.79, 0.82, 
##     0.72, 0.48, 0.4, 0.48, 0.59, 0.77, 0.77, 0.79, 0.71, 0.67, 
##     0.63, 0.64, 0.69, 0.61, 0.77, 0.82, 0.8, 0.31, 0.24, 0.21, 
##     0.22, 0.35, 0.39, 0.37, 0.39, 0.43, 0.48, 0.42, 0.4, 0.4, 
##     0.42, 0.45, 0.43, 0.43, 0.47, 0.48, 0.42, 0.45, 0.4, 0.47, 
##     0.61, 0.71, 0.66, 0.59, 0.51, 0.48, 0.5, 0.47, 0.43, 0.58, 
##     0.42, 0.34, 0.29, 0.31, 0.34, 0.4, 0.43, 0.42, 0.45, 0.53, 
##     0.48, 0.51, 0.51, 0.56, 0.5, 0.47, 0.32, 0.24, 0.21, 0.22, 
##     0.37, 0.47, 0.53, 0.48, 0.48, 0.45, 0.45, 0.4, 0.43, 0.56, 
##     0.5, 0.24, 0.27, 0.47, 0.55, 0.56, 0.56, 0.55, 0.53, 0.45, 
##     0.43, 0.5, 0.51, 0.58, 0.59, 0.59, 0.55, 0.51, 0.56, 0.55, 
##     0.45, -0.19, -0.27, 0.03, -0.02, -0.03, 0, 0.11, 0.1, 0.13, 
##     0.13, 0.08, 0.03, 0, 0, 0, 0.03, 0.05, 0.02, 0.02, -0.03, 
##     -0.03, -0.02, 0.02, 0, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.05, 
##     0.11, 0.05, 0.06, 0.08, 0.05, 0.03, 0.05, 0.11, 0.13, 0.14, 
##     0.18, 0.18, 0.19, 0.24, 0.21, 0.19, 0.1, 0.05, -0.08, -0.1, 
##     -0.11, 0.02, 0.02, 0.03, 0.02, 0.03, 0, -0.02, 0.03, 0.05, 
##     0.05, 0.13, 0.27, 0.32, 0.37, 0.37, 0.35, 0.37, 0.35, 0.27, 
##     0.02, -0.05, -0.16, -0.24, -0.37, -0.37, -0.37, -0.24, -0.21, 
##     -0.21, -0.14, -0.1, -0.08, -0.05, -0.05, -0.06, 0.08, 0.08, 
##     0.08, 0.08, 0.06, 0.02, -0.02, -0.03, -0.03, -0.03, -0.02, 
##     0, -0.02, -0.02, 0.03, 0.05, 0.05, 0.16, 0.19, 0.24, 0.27, 
##     0.29, 0.32, 0.27, 0.29, 0.29, 0.11, 0, -0.08, -0.32, -0.34, 
##     -0.31, -0.34, -0.32, -0.29, -0.21, -0.18, 0.13, 0.18, 0.21, 
##     0.32, 0.32, 0.34, 0.34, 0.06, -0.06, -0.05, -0.18, -0.22, 
##     -0.24, -0.22, -0.1, -0.02, 0.02, 0, 0, 0.1, 0.18, 0.22, 0.08, 
##     0.14, 0.03, 0, -0.05, -0.02, -0.02, 0, 0, -0.06, -0.02, -0.02, 
##     0.02, 0.02, 0.03, 0.05, 0.05, 0.05, 0.05, 0.03, 0.05, 0.05, 
##     0.03, 0.02, 0.03, 0, -0.02, 0, 0, 0.02, 0.02, 0.02, 0.03, 
##     0.03, 0.03, 0.05, 0.06, 0.06, 0.08, 0.06, 0.05, 0.03, 0.03, 
##     0.03, 0.02, 0.02, 0, 0.02, 0.02, 0.02, -0.02, -0.02, 0.43, 
##     0.58, 0.56, 0.53, 0.55, 0.55, 0.48, 0.55, 0.55, 0.45, 0.42, 
##     0.5, 0.5, 0.47, 0.42, 0.53, 0.43, 0.47, 0.48, 0.42, 0.4, 
##     0.48, 0.48, 0.51, 0.48, 0.51, 0.47, 0.48, 0.47, 0.48, 0.5, 
##     0.47, 0.43, 0.4, 0.34, 0.39, 0.37, 0.37, 0.21, 0.18, 0.18, 
##     0.21, 0.31, 0.35, 0.39, 0.5, 0.61, 0.56, 0.55, 0.61, 0.63, 
##     0.66, 0.67, 0.67, 0.51, 0.58, 0.43, 0.42, 0.56, 0.58, 0.59, 
##     0.61, 0.64, 0.63, 0.58, 0.56, 0.58, 0.55, 0.43, 0.29, 0.24, 
##     0.24, 0.1, 0, 0, 0.14, 0.29, 0.39, 0.42, 0.45, 0.51, 0.55, 
##     0.56, 0.51, 0.58, 0.51, 0.59, 0.5, 0.53, 0.5, 0.58, 0.58, 
##     0.53, 0.55, 0.51, 0.58, 0.55, 0.47, 0.45, 0.4, 0.37, 0.34, 
##     0.31, 0.34, 0.45, 0.43, 0.34, 0.39, 0.5, 0.58, 0.5, 0.42, 
##     0.47, 0.5, 0.53, 0.45, 0.42, 0.5, 0.47, 0.4, 0.37, 0.35, 
##     0.48, 0.53, 0.58, 0.55, 0.53, 0.47, 0.5, 0.5, 0.5, 0.43, 
##     0.43, 0.66, 1.16, 1, 0.72, 0.66, 0.71, 0.72, 0.51, 0.43, 
##     0.43, 0.32, 0.34, 0.29, 0.32, 0.37, 0.5, 0.5, 0.5, 0.45, 
##     0.43, 0.5, 0.5, 0.5, 0.53, 0.53, 0.51, 0.5, 0.5, 0.47, 0.47, 
##     0.43, 0.4, 0.4, 0.22, 0.14, -0.03, -0.13, -0.34, 0.47, 0.87, 
##     1.14, 1.11, 1.04, 0.85, 0.85, 0.69, 0.64, 0.61, 0.55, 0.56, 
##     0.59, 0.51, 0.53, 0.43, 0.45, 0.43, 0.45, 0.45, 0.47, 0.48, 
##     0.48, 0.47, 0.48, 0.48, 0.48, 0.5, 0.48, 0.45, 0.45, 0.39, 
##     0.32, 0.24, 0.21, 0.45, 0.47, 0.48, 0.51, 0.56, 0.51, 0.51, 
##     0.51, 0.48, 0.43, 0.4, 0.39, 0.4, 0.4, 0.4, 0.35, 0.32, 0.29, 
##     0.24, 0.16, 0.08, -0.13, -0.19, -0.26, -0.05, 0.32, 0.5, 
##     0.61, 0.69, 0.9, 0.92, 0.96, 1.01, 0.95, 0.93, 0.92, 0.85, 
##     0.85, 0.83, 0.74, 0.72, 0.66, 0.61, 0.51, 0.5, 0.53, 0.48, 
##     0.42, 0.43, 0.51, 0.43, 0.39, 0.35, 0.42, 0.42, 0.4, 0.4, 
##     0.45, 0.45, 0.45, 1, 1.03, 0.98, 0.98, 0.95, 0.82, 0.8, 0.85, 
##     0.66, 0.69, 0.58, 0.48, 0.42, 0.4, 0.39, 0.45, 0.37, 0.4, 
##     0.42, 0.48, 0.51, 0.5, 0.48, 0.5, 0.5, 0.51, 0.51, 0.45, 
##     0.45, 0.4, 0.35, 0.24, 0.19, 0.02, -0.14, -0.22, -0.35, -0.47, 
##     -0.47, 0.02, 0.27, 0.59, 0.72, 0.87, 0.9, 0.9, 0.95, 0.98, 
##     0.95, 0.92, 0.82, 0.72, 0.75, 0.66, 0.67, 0.67, 0.55, 0.51, 
##     0.5, 0.59, 0.59, 0.56, 0.56, 0.53, 0.39, 0.35, 0.42, 0.43, 
##     0.48, 0.47, 0.47, 0.47, 0.45, 0.45, 0.48, 0.47, 0.45, 0.43, 
##     0.43, 0.4, 0.4, 0.39, 0.37, 0.14, -0.21, 0, 0.16, 0.35, 0.53, 
##     0.82, 0.88, 1.01, 1.04, 0.74, 0.83, 0.71, 0.61, 0.56, 0.56, 
##     0.56, 0.48, 0.4, 0.5, 0.51, 0.5, 0.48, 0.47, 0.47, 0.47, 
##     0.4, 0.4, 0.5, 0.51, 0.51, 0.51, 0.5, 0.1, 0.18, 0.16, 0.1, 
##     0.02, 0, 0, -0.1, -0.11, -0.11, -0.16, -0.16, -0.1, -0.13, 
##     -0.19, -0.19, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, 0.11, 0.1, 0.18, 0.19, 0.18, 0.19, 0.08, 
##     0, -0.1, -0.08, -0.06, -0.05, 0.02, -0.02, -0.03, -0.14, 
##     -0.13, -0.14, -0.11, -0.11, -0.14, -0.22, -0.26, -0.27, -0.21, 
##     -0.14, -0.16, -0.11, -0.06, 0, 0.05, 0.05, -0.05, -0.08, 
##     -0.08, -0.05, -0.02, 0, -0.03, -0.08, -0.05, 0.02, 0.03, 
##     0, -0.06, -0.05, -0.06, -0.08, -0.13, -0.32, -0.13, 0.31, 
##     0.32, 0.31, 0.29, 0.26, 0.19, 0.21, 0.21, 0.19, 0.14, 0.08, 
##     0.02, -0.08, -0.22, -0.22, -0.14, -0.06, 0.03, 0.11, 0.1, 
##     0.1, 0, -0.05, -0.05, -0.08, -0.11, -0.31, -0.31, -0.19, 
##     -0.18, -0.16, -0.16, -0.16, -0.11, -0.05, 0, 0.02, 0, -0.05, 
##     -0.05, -0.02, 0.05, 0.06, 0.05, 0.03, 0.06, 0.06, 0.02, -0.03, 
##     -0.03, -0.02, 0.03, 0.05, 0.08, 0.11, 0.08, 0.02, 0.05, 0.13, 
##     0.14, 0.14, 0.16, 0.18, 0.16, -0.05, -0.05, 0, 0.05, 0.06, 
##     0.06, 0.08, 0.05, 0.03, 0.02, 0.02, -0.02, -0.08, -0.1, -0.1, 
##     -0.06, -0.14, -0.13, -0.14, 0.03, 0.02, 0.02, 0.05, 0.02, 
##     0.05, 0.11, 0.14, 0.14, 0.16, 0.14, 0.14, 0.18, 0.18, 0.16, 
##     0.08, 0.06, 0.06, 0.05, 0.05, 0, -0.05, -0.1, -0.1, -0.08, 
##     -0.05, -0.06, -0.08, -0.1, -0.1, -0.08, -0.11, -0.08, -0.08, 
##     -0.08, -0.08, -0.03, -0.03, -0.08, -0.08, -0.08, -0.08, 0, 
##     -0.1, -0.05, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.05, 0.05, -0.06, -0.02, -0.06, 
##     -0.11, -0.18, 0.02, 0.06, 0.08, -0.03, -0.06, -0.11, -0.13, 
##     -0.18, -0.18, -0.16, 0.02, 0.14, 0.58, 0.61, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 1.7, 1.91, 
##     1.83, 1.28, 0.79, 0.14, 0.03, -0.22, -0.18, -0.13, -0.24, 
##     -0.32, -0.59, -0.64, -0.72, -0.75, -0.74, -0.66, -0.48, -0.11, 
##     0.13, 0.27, 0.72, 1.28, 1.33, 1.24, 0.59, 0.69, 0.87, 1.17, 
##     1.3, 1.36, 1.4, 1.57, 1.59, 1.36, 1.33, 1.46, 1.61, 1.59, 
##     1.61, 1.78, 1.93, 1.86, 1.78, 1.78, 1.78, 1.78, 1.54, 1.27, 
##     1.01, 1.46, 1.3, 1.22, 1.32, 1.57, 1.91, 2.22, 2.14, 1.81, 
##     1.24, 0.83, 0.43, 0.06, -0.27, -0.27, -0.27, -0.27, -0.24, 
##     -0.24, -0.29, -0.45, -0.53, -0.63, -0.59, -0.67, -0.67, -0.72, 
##     -0.64, -0.72, -0.4, 0.11, 0.27, 0.5, 1.01, 1.24, 1.4, 1.35, 
##     1.35, 1.59, 1.73, 1.83, 1.86, 1.77, 1.69, 1.62, 1.54, 1.51, 
##     1.54, 1.64, 1.86, 1.8, 1.75, 1.8, 1.75, 1.69, 1.56, 1.41, 
##     1.16, 1.24, 1.53, 1.4, 1.22, 0.56, 0.48, 0.42, 0.32, 0.31, 
##     0.06, 0.03, 0.02, -0.02, -0.08, -0.13, -0.14, -0.13, -0.26, 
##     -0.32, -0.32, -0.45, -0.4, -0.43, -0.47, -0.32, -0.27, -0.21, 
##     0.18, 0.79, 0.85, 0.74, 0.72, 0.9, 1.08, 1.22, 1.48, 1.7, 
##     1.64, 1.57, 1.38, 1.33, 1.41, 1.43, 1.41, 1.41, 1.41, 1.41, 
##     1.54, 1.72, 1.72, 1.88, 1.88, 1.88, 1.88, 1.93, 1.93, 1.93, 
##     1.94, 1.91, 1.67, 1.32, 1.12, 0.88, 0.96, 1.72, 1.91, 0.9, 
##     0.22, 0.11, 0.02, -0.05, -0.11, -0.18, -0.14, -0.24, -0.27, 
##     -0.31, -0.34, -0.37, -0.42, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, 
##     -0.4, -0.4, -0.4, -0.4, -0.4, -0.47, -0.45, -0.43, -0.43, 
##     -0.42, -0.42, -0.4, -0.4, -0.4, -0.26, -0.24, -0.26, -0.26, 
##     -0.27, -0.26, -0.26, -0.26, -0.26, -0.26, -0.24, 0, 0.02, 
##     0.08, 0.1, 0.1, 0.1, 0.14, 0.16, 0.03, 0, -0.06, 0.02, 0.05, 
##     0.08, 0.02, -0.08, -0.14, -0.14, -0.08, -0.08, -0.06, -0.18, 
##     -0.24, -0.31, -0.27, -0.29, -0.32, -0.22, -0.14, -0.13, -0.1, 
##     -0.08, -0.11, -0.05, 0.06, 0.06, 0.05, 0.02, 0.02, 0.03, 
##     0, 0, 0, 0.03, 0.05, 0.05, 0.05, 0.06, 0.05, 0.05, 0.08, 
##     0.08, 0.11, 0.16, 0.22, 0.35, 0.4, 0.27, 0.13, 0.03, -0.1, 
##     -0.1, -0.08, -0.32, -0.37, -0.35, -0.39, -0.43, -0.29, -0.24, 
##     -0.13, -0.11, -0.11, -0.1, -0.05, -0.02, 0, -0.02, 0, 0.02, 
##     -0.02, -0.02, 0, -0.02, 0, 0.03, 0.02, 0, 0.03, 0, 0, -0.02, 
##     -0.02, 0, 0.03, 0.03, 0.03, 0.02, 0.03, 0.05, 0.05, 0.06, 
##     0.08, 0.05, 0.06, 0.08, 0.13, 0.13, 0.26, 0.27, 0.29, 0.29, 
##     0.27, 0.22, 0.19, 0.18, 0.13, 0.03, -0.16, -0.26, -0.26, 
##     -0.27, -0.21, -0.21, -0.1, -0.08, -0.05, -0.02, 0.02, -0.02, 
##     -0.02, 0, 0, -0.02, -0.03, -0.05, -0.02, 0.05, 0.05, 0.02, 
##     0.03, 0.08, 0.05, 0.06, 0.06, 0.08, 0.06, 0.05, 0.05, 0.03, 
##     0.06, 0.11, 0.24, 0.31, 0.31, 0.14, -0.18, -0.18, -0.13, 
##     -0.1, -0.13, -0.32, -0.34, -0.29, -0.26, -0.22, -0.16, -0.1, 
##     -0.08, -0.11, 0, -0.05, 0.02, -0.05, 0.02, 0, -0.02, 0.05, 
##     0.02, 0.02, 0.02, 0.02, 0.05, 0.03, 0.05, 0.03, 0.03, 0.06, 
##     0.14, 0.27, 0, -0.06, -0.13, -0.13, -0.13, -0.21, -0.34, 
##     -0.31, -0.29, -0.24, -0.22, -0.16, -0.13, -0.11, -0.1, -0.1, 
##     -0.13, -0.02, 0, -0.05, -0.05, -0.02, 0.05, 0.06, 0, 0.02, 
##     0, 0.03, 0.02, 0.02, 0.05, 0.06, 0.06, 0.03, 0.05, 0.02, 
##     0.03, 0.06, 0.1, 0.22, 0.19, -0.02, 0, 0.06, 0.08, 0.02, 
##     0.03, 0.05, 0.05, 0.03, 0.02, 0, 0.02, 0.02, 0.02, 0.03, 
##     0.03, 0.05, -0.02, -0.06, -0.1, -0.1, -0.05, 0.06, 0.08, 
##     0.06, 0.11, 0.22, 0.29, 0.21, 0.13, 0.08, -0.08, -0.14, -0.22, 
##     -0.29, -0.32, -0.42, -0.35, -0.26, -0.18, -0.13, -0.11, -0.05, 
##     -0.03, -0.06, -0.05, -0.06, -0.05, -0.03, -0.03, 0, 0.05, 
##     0.05, 0.03, 0.02, 0.39, 0.42, 0.39, 0.39, 0.39, 0.37, 0.39, 
##     0.35, 0.34, 0.39, 0.37, 0.35, 0.39, 0.43, 0.51, 0.56, 0.58, 
##     0.51, 0.51, 0.53, 0.26, 0.18, 0.18, 0.14, 0.13, 0.14, 0.06, 
##     0.74, 0.74, 0.56, 0.32, 0.42, 0.45, 0.42, 0.37, 0.34, 0.37, 
##     0.4, 0.42, 0.42, 0.4, 0.39, 0.39, 0.37, 0.35, 0.35, 0.4, 
##     0.39, 0.4, 0.39, 0.37, 0.35, 0.34, 0.35, 0.35, 0.43, 0.47, 
##     0.45, 0.47, 0.51, 0.55, 0.51, 0.42, 0.32, 0.13, 0.39, 0.4, 
##     0.37, 0.35, 0.34, 0.35, 0.39, 0.39, 0.37, 0.35, 0.35, 0.37, 
##     0.37, 0.39, 0.37, 0.32, 0.31, 0.31, 0.31, 0.31, 0.29, 0.27, 
##     -0.02, 0.03, 0.05, 0.14, 0.18, 0.4, 0.5, 0.59, 0.43, 0.16, 
##     0.29, 0.1, 0.14, 0.21, 0.27, 0.35, 0.53, 0.83, 0.79, 0.14, 
##     0.11, 0.21, 0.13, 0.08, 0.16, 0.08, 0.18, 0.29, 0.32, 0.37, 
##     0.26, 0.37, 0.48, 0.48, 0.51, 0.61, 0.61, 0.69, 0.14, 0.11, 
##     0.1, 0.19, 0.16, 0.13, 0.16, 0.34, 0.34, 0.39, 0.27, 0.4, 
##     0.34, 0.39, 0.45, 0.56, 0.55, 0.35, 0.29, 0.27, 0.29, 0.32, 
##     0.37, 0.4, 0.4, 0.43, 0.27, 0.18, 0.13, 0.55, 0.88, 0.92, 
##     0.9, 0.87, 0.42, 0.35, 0.29, 0.29, 0.21, 0.11, 0.08, 0.27, 
##     0.26, 0.19, 0.26, 0.27, 0.35, 0.37, 0.37, 0.5, 0.48, 0.4, 
##     0.42, 0.39, 0.29, 0.29, 0.31, 0.29, 0.29, 0.27, 0.26, 0.27, 
##     0.26, 0.24, 0.21, 0.31, 0.35, 0.34, 0.32, 0.64, 1.06, 0.29, 
##     0.26, 0.24, 0.16, 0.06, 0.03, 0.03, 0.13, 0.22, 0.1, 0.18, 
##     0.27, 0.37, 0.43, 0.47, 0.45, 0.47, 0.51, 0.51, 0.51, 0.42, 
##     0.4, 0.34, 0.34, 0.34, 0.35, 0.32, 0.35, 0.37, 0.39, 0.48, 
##     0.82, 0.96, 0.35, 0.26, 0.29, 0.32, 0.32, 0.1, 0.08, 0.19, 
##     0.16, 0.27, 0.26, 0.21, 0.27, 0.4, 0.37, 0.32, 0.34, 0.4, 
##     0.43, 0.48, 0.39, 0.34, 0.27, 0.27, 0.29, 0.19, 0.19, 0.43, 
##     0.55, 0.56, 0.59, 0.48, 0.21, 0.11, 0.11, 0.19, 0.37, 0.45, 
##     0.45, 0.32, 0.34, 0.21, 0.14, 0.21, 0.31, 0.18, 0.24, 0.16, 
##     0.18, 0.24, 0.21, 0.16, 0.05, 0.05, 0.1, 0.13, 0.1, 0.14, 
##     0.26, 0.26, 0.19, 0.19, 0.29, 0.27, 0.34, 0.42, 0.37, 0.45, 
##     0.43, 0.4, 0.42, 0.34, 0.37, 0.4, 0.34, 0.32, 0.27, 0.22, 
##     0.14, 0.11, 0.45, 0.93, 1.09, 1.06, 0.95, 0.27, 0.21, 0.29, 
##     0.21, 0.06, 0.18, 0.22, 0.37, 0.42, 0.32, 0.37, 0.34, 0.42, 
##     0.39, 0.39, 0.4, 0.45, 0.47, 0.47, 0.37, 0.34, 0.34, 0.34, 
##     0.35, 0.35, 0.35, 0.26, 0.14, 0.21, 0.48, 1, 0.75, 0.51, 
##     0.24, 0.21, 0.16, 0.18, 0.21, 0.11, -0.03, 0.03, 0.08, 0.18, 
##     0.19, 0.39, 0.4, 0.37, 0.37, 0.42, 0.42, 0.45, 0.58, 0.39, 
##     0.31, 0.27, 0.34, 0.32, 0.32, 0.35, 0.34, 0.37, 0.35, 0.37, 
##     0.39, 0.4, 0.39, 0.39, 0.4, 0.35, 0.35, 0.34, 0.34, 0.35, 
##     0.35, 0.34, 0.35, 0.35, 0.34, 0.32, 0.34, 0.35, 0.39, 0.4, 
##     0.56, 0.56, 0.56, 0.55, 0.53, 0.51, 0.5, 0.5, 0.48, 0.4, 
##     0.4, 0.39, 0.4, 0.39, 0.39, 0.39, 0.37, 0.37, 0.37, 0.37, 
##     0.39, 0.37, 0.37, 0.34, 0.34, 0.34, 0.34, 0.34, 0.32, 0.32, 
##     0.34, 0.39, 0.19, 0.22, 0.19, 0.18, 0.14, 0.08, 0.03, 0.06, 
##     0.1, 0.11, 0.13, 0.13, 0.13, 0.11, 0.13, 0.18, 0.26, 0.26, 
##     0.27, 0.21, 0.18, 0.16, 0.13, 0.13, 0.13, 0.14, 0.47, 0.32, 
##     0.26, 0.19, 0.06, 0.02, 0.02, 0, 0.03, 0.03, 0.05, 0.06, 
##     0.08, 0.08, 0.1, 0.18, 0.16, 0.21, 0.26, 0.29, 0.29, 0.24, 
##     0.22, 0.21, 0.19, 0.21, 0.16, 0.06, 0, 0, -0.02, 0.02, 0.1, 
##     0.11, 0.13, 0.13, 0.13, 0.11, 0.1, 0.02, 0.11, 0.16, 0.16, 
##     0.22, 0.32, 0.32, 0.27, 0.22, 0.18, 0.16, 0.16, 0.18, 0.21, 
##     0.22, 0.34, 0.37, 0.39, 0.37, 0.35, -0.47, -0.45, -0.37, 
##     -0.27, -0.18, -0.1, -0.03, 0.11, 0.13, 0.13, 0.13, 0.1, 0.1, 
##     0.1, 0.1, 0.11, 0.14, 0.16, 0.16, 0.14, -0.05, 0.1, 0.13, 
##     0.14, 0.24, 0.27, 0.31, 0.34, 0.39, 0.43, 0.43, 0.4, 0.29, 
##     0.31, 0.29, 0.11, 0.06, 0.02, 0.05, 0.05, -0.02, -0.06, -0.02, 
##     0.02, 0.02, 0.05, 0.05, 0.05, 0.05, 0.06, 0.11, 0.14, 0.19, 
##     0.22, 0.32, 0.32, 0.34, 0.35, 0.37, 0.42, 0.45, 0.43, 0.4, 
##     0.32, 0.24, 0.18, 0.16, 0.14, 0.11, 0.06, 0.03, 0.06, 0.06, 
##     0.03, 0.03, 0.03, 0.02, 0.02, 0, 0, 0.05, 0.08, 0.14, 0.21, 
##     0.18, 0.21, 0.13, 0.19, 0.21, 0.16, 0.14, 0.35, 0.31, 0.32, 
##     0.27, 0.13, 0.1, 0.1, 0.06, 0.06, 0.08, 0.1, 0.11, 0.11, 
##     0.06, 0.05, 0.05, 0.11, 0.13, 0.11, 0.06, 0.06, 0.05, 0.06, 
##     0.14, 0.13, 0.08, 0.13, 0.1, 0.1, 0.11, 0.13, 0.11, 0.13, 
##     0.14, 0.18, 0.18, 0.18, 0.16, 0.16, 0.16, 0.18, 0.22, 0.18, 
##     0.24, 0.24, 0.24, 0.22, 0.19, 0.14, 0.1, 0.05, 0.05, 0.21, 
##     0.31, 0.34, 0.35, 0.37, 0.37, 0.4, 0.32, 0.22, 0.13, 0.08, 
##     0.1, 0.13, 0.16, 0.13, 0.1, 0.05, 0.03, 0, 0, -0.02, -0.03, 
##     -0.05, 0.06, 0.14, 0.14, 0.11, 0.14, 0.11, 0.1, 0.1, 0.1, 
##     0.1, 0.13, 0.18, 0.18, 0.16, 0.13, 0.13, 0.13, 0.16, 0.22, 
##     0.21, 0.22, 0.14, 0.1, 0.06, 0.02, 0.02, 0.02, 0.14, 0.14, 
##     0.13, 0.08, 0.05, 0.08, 0.14, 0.31, 0.32, 0.24, 0.19, 0.16, 
##     0.16, 0.13, 0.13, 0.11, 0.11, 0.1, 0.06, 0.1, 0.18, 0.21, 
##     0.13, 0.06, 0.18, 0.21, 0.26, 0.27, 0.19, 0.16, 0.14, 0.13, 
##     0.13, 0.11, 0.11, 0.11, 0.13, 0.14, 0.14, 0.16, 0.16, 0.14, 
##     0.13, 0.11, 0.1, 0.1, 0.11, 0.06, 0.08, 0.1, 0.11, 0.11, 
##     0.11, 0.13, 0.14, 0.11, 0.19, 0.18, 0.32, 0.29, 0.26, 0.21, 
##     0.16, 0.1, 0.18, 0.19, 0.16, 0.16, 0.14, 0.16, 0.16, 0.16, 
##     0.16, 0.21, 0.32, 0.31, 0.27, 0.22, 0.19, 0.19, 0.14, 0.11, 
##     0.08, 0.08, 0.08, 0.1, 0.1, 0.08, 0.1, 0.11, 0.1, 0.1, 0.16, 
##     0.21, 0.22, 0.21, 0.19, 0.19, 0.22, 0.16, 0.21, 0.21, 0.16, 
##     0.08, 0.05, 0.1, 0.24, 0.24, 0.27, -0.02, -0.05, 0.11, 0.16, 
##     0.14, 0.16, 0.18, 0.18, 0.1, 0.08, 0.08, 0.08, 0.1, 0.11, 
##     0.14, 0.16, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.18, 
##     0.14, 0.13, 0.11, 0.08, 0.06, 0.06, 0.06, 0.06, 0.08, 0.1, 
##     0.05, 0.11, 0.14, 0.1, 0.03, 0.06, 0.06, 0.08, 0.08, 0.06, 
##     0.08, 0.03, 0, 0, -0.03, -0.03, -0.06, 0.18, 0.03, 0.06, 
##     0.11, 0.16, 0.34, 0.55, 0.55, 0.5, 0.42, 0.35, 0.34, 0.31, 
##     0.24, -0.1, -0.31, -0.4, -0.43, 0.16, 0.21, 0.21, 0.26, 0.19, 
##     0.21, 0.19, 0.18, 0.21, 0.21, 0.21, 0.18, 0.13, 0.16, 0.18, 
##     0.18, 0.18, 0.02, 0.16, 0.11, 0.13, 0.16, 0.06, 0.05, 0.08, 
##     0.11, 0.02, 0.05, 0.02, 0, -0.03, 0.02, 0.1, 0.13, 0.11, 
##     0.11, 0.1, 0.13, 0.16, 0.18, 0.22, 0.19, 0.26, 0.26, 0.22, 
##     0.18, 0.18, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.08, 0.13, 
##     0.1, 0.1, 0.05, 0.02, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, 
##     -0.16, -0.16, -0.1, 0.02, 0.34, 0.29, 0.19, 0.1, 0.05, -0.03, 
##     -0.03, -0.05, -0.06, -0.19, -0.1, -0.1, -0.11, -0.08, -0.02, 
##     0, 0.06, 0.13, 0.14, 0.14, 0.13, 0.14, 0.19, 0.22, 0.11, 
##     0.14, 0.22, 0.34, 0.42, 0.32, 0.24, 0, -0.18, -0.26, -0.35, 
##     -0.31, -0.11, -0.08, -0.03, 0.02, 0.06, 0.1, 0.1, 0.1, 0.1, 
##     0.1, 0.05, 0.05, 0.03, 0.02, 0.02, 0.02, 0.11, 0.16, 0.21, 
##     0.21, 0.21, 0.29, 0.11, 0.08, 0.03, -0.13, -0.31, -0.1, 0, 
##     0, 0.03, 0.05, -0.02, -0.02, -0.05, -0.06, -0.14, -0.19, 
##     -0.19, -0.19, -0.19, -0.19, -0.19, -0.19, -0.19, -0.22, -0.22, 
##     -0.22, -0.22, -0.22, -0.18, -0.18, -0.18, -0.19, -0.19, -0.19, 
##     -0.19, -0.19, -0.19, -0.19, -0.18, -0.14, -0.03, -0.02, -0.02, 
##     0, 0, 0.45, 0.42, 0.35, 0.27, 0.21, 0.18, -0.05, -0.05, -0.06, 
##     -0.03, -0.03, -0.02, -0.02, -0.02, -0.05, -0.1, -0.14, -0.16, 
##     -0.19, -0.19, -0.16, -0.16, -0.16, -0.16, -0.16, -0.19, -0.18, 
##     -0.16, -0.18, -0.14, -0.16, -0.14, -0.14, -0.1, -0.1, 0.08, 
##     0.13, 0.13, 0.1, 0, -0.03, -0.03, -0.05, -0.03, -0.03, 0.05, 
##     0.13, 0.14, 0.18, 0.22, 0.29, 0, -0.11, -0.11, -0.11, -0.11, 
##     -0.11, -0.11, -0.19, -0.1, 0.02, 0.02, 0.02, -0.18, -0.06, 
##     -0.02, 0.02, -0.1, -0.1, -0.02, 0.06, 0.06, 0.02, -0.03, 
##     -0.02, 0.02, 0.03, -0.05, -0.06, -0.05, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, 0.06, 0.06, 0.08, 0.1, 0.1, 0.06, 0.06, 
##     0.06, 0.06, 0.06, 0.08, 0.1, 0.1, 0.1, 0.11, 0.13, 0.18, 
##     0.19, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.02, -0.02, -0.02, -0.02, -0.14, -0.1, -0.08, 
##     -0.05, 0, 0.02, 0.03, 0.02, -0.06, -0.08, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.14, -0.14, -0.08, -0.08, 
##     -0.1, -0.08, -0.06, -0.06, -0.03, 0, 0, -0.05, -0.02, 0.02, 
##     0, 0.02, 0, -0.06, -0.08, 0.03, 0.05, 0.05, 0.1, 0.1, 0, 
##     -0.03, -0.03, 0.02, 0.1, 0.24, 0.24, 0.19, 0.08, 0.03, 0.03, 
##     0.06, 0.08, 0.27, 0.26, 0.32, 0.43, -0.06, -0.05, -0.05, 
##     -0.06, -0.06, -0.06, -0.05, 0.1, 0.11, 0.08, 0.02, -0.08, 
##     -0.13, -0.11, -0.08, -0.06, -0.06, -0.05, 0, 0, 0, 0, 0.4, 
##     0.4, 0.4, 0.4, 0.37, 0.34, 0.32, 0.37, 0.37, 0.34, 0.37, 
##     0.32, 0.32, 0.32, 0.34, 0.35, 0.35, 0.35, 0.35, 0.39, 0.39, 
##     0.39, 0.39, 0.39, 0.39, 0.31, 0.42, 0.48, 0.51, 0.47, 0.39, 
##     0.34, 0.34, 0.35, 0.34, 0.35, 0.37, 0.35, 0.32, 0.32, 0.34, 
##     0.35, 0.43, 0.96, 0.92, 0.39, 0.29, 0.26, 0.22, 0.21, 0.19, 
##     0.21, 0.13, 0.13, 0.14, 0.13, 0.13, 0.14, 0.19, 0.34, 0.39, 
##     1.08, 1.16, 1.11, 0.47, 0.37, 0.18, 0.11, 0.1, 0.16, 0.21, 
##     0.13, 0.26, 0.29, 0.32, 0.37, 0.29, 0.35, 0.53, 0.56, 0.45, 
##     0.37, 0.27, 0.29, 0.27, 0.27, 0.29, 0.29, 0.29, 0.27, 0.18, 
##     0.13, 0.08, -0.13, 0.45, 0.61, 0.72, 1.03, 1.38, 1.54, 1.57, 
##     1.69, 1.56, 1.48, 1.45, 1.46, 1.49, 1.83, 1.78, 2.07, 1.98, 
##     1.83, 0.75, 0.59, 0.61, 1.19, 0.71, 0.47, 0.18, 0.11, 0.08, 
##     0.06, 0.02, -0.06, -0.19, -0.35, -0.48, -0.53, -0.59, -0.67, 
##     -0.83, -0.92, -0.88, -0.79, -0.77, -0.75, -0.61, -0.42, 1.48, 
##     1.48, 1.64, 1.64, 1.64, 1.64, 1.64, 1.64, 1.64, 1.64, 1.64, 
##     1.64, 1.72, 1.72, 1.72, 1.72, 1.72, 1.72, 1.72, 1.72, 1.72, 
##     1.67, 2.2, 2.14, 2.17, 1.94, 1.8, 1.16, 0.98, 0.83, 0.71, 
##     1.38, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 1.45, 1.49, 1.54, 1.54, 1.54, 1.54, 1.53, 1.53, 1.54, 
##     1.54, 1.54, 1.61, 1.61, 1.51, 1.48, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.47, 0.5, 0.51, 0.51, 0.51, 0.48, 0.5, 0.48, 
##     0.47, 0.48, 0.47, 0.43, 0.45, 0.42, 0.39, 0.37, 0.26, 0.13, 
##     0.05, -0.02, -0.05, -0.1, 0.11, 0.61, 0.75, 0.85, 0.16, 0.13, 
##     -0.05, 0.11, 0.34, 0.75, 0.8, 0.88, 0.95, 0.87, 0.8, 0.66, 
##     0.67, 0.61, 0.53, 0.45, 0.39, 0.42, 0.42, 0.34, 0.22, 0.21, 
##     0.43, 0.48, 0.48, 0.47, 0.45, 0.45, 0.43, 0.34, 0.22, 0.16, 
##     -0.03, -0.22, -0.22, -0.16, 0.64, 0.48, 0.56, 0.51, 0.4, 
##     0.43, 0.5, 0.47, 0.42, 0.42, 0.42, 0.43, 0.42, 0.42, 0.42, 
##     0.42, 0.43, 0.45, 0.5, 0.47, 0.43, 0.43, 0.45, 0.47, 0.55, 
##     -0.02, 0.02, 0.03, 0.13, 0.03, -0.02, 0.03, 0.02, 0, -0.05, 
##     -0.02, 0.03, -0.06, -0.06, 0.03, 0.06, 0.08, 0.08, 0.11, 
##     0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0.03, 0.02, 0.02, 0.11, 
##     0.1, 0.26, 0.21, 0.21, 0.19, 0.16, 0.13, 0.06, -0.02, -0.1, 
##     -0.14, -0.24, -0.29, -0.31, -0.34, -0.21, -0.06, 0.08, 0.05, 
##     0.02, -0.02, -0.06, 0, 0.03, 0, -0.31, -0.31, -0.31, -0.29, 
##     -0.29, -0.31, -0.29, -0.31, -0.31, -0.29, -0.29, -0.31, -0.31, 
##     -0.31, -0.31, -0.31, -0.31, -0.31, -0.31, -0.29, -0.29, -0.29, 
##     -0.32, -0.32, -0.32, -0.31, -0.29, -0.27, -0.24, -0.18, -0.24, 
##     -0.34, -0.21, -0.11, -0.13, -0.26, 0, 0.08, 0.18, 0.21, 0.19, 
##     0.35, 0.35, 0.35, -0.26, -0.48, -0.59, -0.71, -0.87, -1.09, 
##     -1.16, -1.04, -1, -0.93, -0.82, -0.75, -0.69, -0.58, -0.47, 
##     -0.39, -0.26, -0.21, -0.14, -0.06, -0.08, -0.08, -0.08, -0.02, 
##     0.05, 0.39, 0.48, 0.58, 0.71, 0.75, 1.03, 1.08, 1.06, 1.04, 
##     1.01, 0.98, 0.96, 0.93, 0.9, 0.75, 0.64, 0.53, 0.42, 0.39, 
##     0.26, 0.16, 0.14, 0.22, 0.24, 0.48, 0.56, 0.69, 0.4, 0.39, 
##     0.29, 0.24, 0.18, 0.11, 0.06, -0.11, -0.13, -0.26, -0.53, 
##     -0.63, -1.17, -1.35, -1.35, -1.4, -1.25, -1.19, -1.01, -0.88, 
##     -0.82, -0.5, -0.27, -0.19, -0.02, 0.03, 0.34, 0.39, 0.5, 
##     0.5, 0.51, 0.64, 0.71, 0.85, 0.88, 0.88, 0.88, 0.98, 0.96, 
##     1.03, 1.06, 1.08, 1.12, 0.9, 0.83, 0.69, 0.67, 0.47, 0.31, 
##     0.29, 0.11, 0.1, 0.05, 0.05, 0.05, 0.11, 0.18, 0.21, 0.26, 
##     0.45, 0.53, 0.51, 0.51, 0.4, 0.29, 0.22, 0.18, 0.16, 0.06, 
##     0.08, 0.13, 0.13, 0.11, 0.1, -0.14, -0.21, -0.39, -0.5, -0.67, 
##     -0.71, -0.82, -0.74, -0.69, -0.74, -0.8, -0.77, -0.75, 1.45, 
##     1.36, 1.11, 1.06, 0.92, 0.77, 0.51, 0.42, 0.31, 0.16, 0.16, 
##     0.14, 0.06, -0.02, -0.05, -0.06, -0.08, -0.08, -0.05, -0.05, 
##     -0.03, -0.06, -0.13, -0.19, -0.43, -0.47, -0.47, -0.48, -0.51, 
##     -0.42, -0.34, -0.4, -0.29, -0.27, -0.29, -0.32, -0.32, -0.31, 
##     -0.29, -0.35, -0.39, -0.27, -0.1, 0, 0, 0.06, 0.06, 0.11, 
##     0.14, 0.27, 0.27, 0.27, 0.37, 0.42, 0.45, 0.34, 0.79, 0.72, 
##     0.64, 0.61, 0.51, 0.45, 0.4, 0.4, 0.16, 0.16, 0.19, 0.11, 
##     -0.13, -0.08, -0.1, -0.13, -0.02, 0.13, 0, -0.06, -0.11, 
##     -0.16, -0.21, -0.19, -0.14, -0.16, -0.18, -0.18, -0.21, -0.34, 
##     -0.43, -0.5, -0.53, -0.51, -0.47, -0.45, -0.48, -0.48, -0.47, 
##     -0.45, -0.35, -0.32, -0.26, -0.19, -0.14, -0.13, -0.1, -0.21, 
##     -0.31, -0.29, -0.06, 0.19, 0.14, 0.5, 0.48, 0.51, 0.56, 0.53, 
##     0.53, 0.51, 0.5, 0.43, 0.4, 0.51, 0.56, 0.56, 0.59, 0.72, 
##     0.74, 0.69, 0.66, 0.61, 0.61, 0.59, 0.61, 0.77, 0.88, 0.92, 
##     0.45, 0.27, 0.05, -0.21, -0.26, -0.26, -0.29, -0.43, -0.47, 
##     -0.5, -0.51, -0.53, -0.42, -0.34, -0.43, -0.55, -0.67, -0.74, 
##     -0.77, -0.69, -0.67, -0.63, -0.58, -0.55, -0.47, -0.4, -0.13, 
##     -0.06, 0.05, 0.16, 0.26, 0.32, 0.34, 0.34, 0.37, 0.4, 0.51, 
##     0.55, 0.58, 0.61, 0.61, 0.61, 0.63, 0.63, 0.5, 0.5, 0.63, 
##     0.59, -0.79, -0.72, -0.5, -0.39, -0.24, -0.18, -0.18, -0.14, 
##     -0.06, 0.02, 0.06, 0.18, 0.27, 0.35, 0.58, 0.67, 0.71, 0.8, 
##     0.95, 0.93, 0.79, 0.66, 0.72, 0.64, 0.35, 0.32, 0.27, 0.19, 
##     -0.59, -0.79, -0.8, -0.79, -0.71, -0.55, -0.51, -0.51, -0.51, 
##     -0.47, -0.39, -0.37, -0.39, -0.35, -0.29, -0.21, -0.18, -0.19, 
##     -0.16, -0.16, -0.18, -0.21, -0.22, -0.24, -0.22, 0.18, 0.24, 
##     0.32, 0.55, 0.59, 0.63, 0.83, 0.83, 0.87, 0.96, 0.77, 0.71, 
##     0.67, 0.5, 0.55, 0.58, 0.66, 0.27, 0.21, 0.18, 0, -0.11, 
##     -0.11, -0.11, -0.11, -0.16, -0.19, -0.19, -0.19, -0.27, -0.29, 
##     -0.32, -0.32, -0.32, -0.31, -0.32, 0.45, 0.42, 0.35, 0.34, 
##     0.53, 0.63, 0.67, 0.67, 0.66, 0.66, 0.61, 0.59, 0.59, 0.56, 
##     0.48, 0.43, 0.42, 0.39, 0.32, 0.26, 0.26, 0.26, 0.24, 0.11, 
##     0.1, 0.02, -0.03, -0.1, -0.14, -0.21, -0.27, -0.27, -0.27, 
##     -0.32, -0.43, -0.48, -0.53, -0.58, -0.53, -0.53, -0.58, -0.59, 
##     -0.58, -0.5, -0.34, -0.22, -0.06, -0.05, -0.05, -0.05, -0.03, 
##     -0.1, 0.18, 0.14, 0.13, 0.11, 0.14, -0.03, 0.06, 0.11, 0.11, 
##     0.18, 0.26, 0.31, 0.32, 0.27, 0.26, 0.27, 0.31, 0.18, 0.06, 
##     -0.05, 0.05, 0.02, 0, -0.13, -0.18, -0.18, -0.14, -0.18, 
##     -0.47, -0.5, -0.5, -0.48, -0.51, -0.51, -0.55, -0.56, -0.59, 
##     -0.56, -0.37, -0.19, -0.11, -0.05, -0.02, 0, 0.02, -0.03, 
##     -0.03, 0, 0.03, 0, 0.05, 0.13, 0.08, 0.06, 0.08, 0.08, 0.08, 
##     0.08, 0.14, 0.18, 0.24, 0.24, 0.16, 0.19, 0.27, 0.26, 0.19, 
##     0.34, 0.29, 0.24, 0.21, 0.13, 0.14, 0.11, 0.06, 0.03, 0.08, 
##     0.08, 0.06, 0.08, 0.03, -0.31, -0.22, -0.29, -0.32, -0.32, 
##     -0.32, -0.34, -0.35, -0.37, -0.39, -0.45, -0.47, -0.48, -0.58, 
##     -0.5, -0.35, -0.21, -0.1, 0.16, 0.13, -0.02, 0.06, 0.08, 
##     0.11, 0.16, 0.16, 0.18, 0.18, 0.16, 0.14, 0.11, 0.1, 0.06, 
##     0.03, 0.02, 0.03, 0, 0, 0, 0.02, 0.08, 0.34, 0.37, 0.34, 
##     0.35, 0.4, 0.4, 0.35, 0.24, 0.11, 0.08, 0.03, 0.13, 0.1, 
##     0.05, -0.02, -0.03, -0.02, -0.02, -0.02, 0, -0.02, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 0, 
##     0.02, 0.02, 0.02, 0.05, 0.06, 0.13, 0.19, 0.21, 0.22, 0.24, 
##     0.27, 0.29, 0.32, 0.32, 0.32, 0.37, 0.37, 0.42, 0.47, 0.48, 
##     0.47, 0.45, 0.43, 0.42, 0.39, 0.35, 0.11, 0.05, -0.02, -0.06, 
##     -0.11, -0.14, -0.16, -0.11, -0.1, -0.1, -0.11, -0.11, -0.03, 
##     -0.02, 0, 0, 0.02, 0.05, 0.42, 0.43, 0.42, 0.37, 0.34, 0.29, 
##     0.13, 0.1, -0.03, -0.21, -0.22, -0.19, -0.1, 0.02, 0.13, 
##     0.24, 0.42, 0.53, 0.61, 0.71, 0.77, 0.96, 0.93, 0.82, 0.69, 
##     0.77, 0.48, 0.35, 0.32, 0.32, 0.4, 0.48, 0.47, 0.48, 0.51, 
##     0.48, 0.47, 0.47, 0.47, 0.5, 0.51, 0.45, 0.42, 0.37, 0.31, 
##     0.24, -0.11, -0.18, -0.05, 0.13, 0.5, 0.67, 0.83, 1.01, 1.16, 
##     1.12, 1.01, 0.85, 0.83, 0.8, 0.83, 0.9, 1, 0.8, 0.59, 0.45, 
##     0.32, 0.39, 0.42, 0.4, 0.42, 0.4, 0.43, 0.43, 0.45, 0.48, 
##     0.5, 0.5, 0.47, 0.39, 0.45, 0.45, 0.47, 0.47, 0.42, 0.34, 
##     0.27, 0.26, 0.19, 0.16, -0.05, -0.16, -0.37, -0.47, -0.03, 
##     0.43, 0.59, 0.87, 1.06, 1.12, 1.06, 1, 0.98, 0.82, 0.74, 
##     0.64, 0.69, 0.47, 0.47, 0.27, 0.35, 0.4, 0.37, 0.35, 0.34, 
##     0.29, 0.24, 0.21, 0.35, 0.42, 0.5, 0.56, 0.59, 0.4, 0.43, 
##     0.35, 0.06, 0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, 0.31, -0.05, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.03, 0, 0, -0.02, -0.03, -0.03, 
##     -0.03, 0.02, 0.06, 0.06, 0.06, 0.08, 0.06, 0.06, 0.11, 0.14, 
##     0.22, 0.22, 0.16, 0.16, 0.19, 0.21, 0.22, 0.18, 0.18, 0.13, 
##     0.1, 0.05, 0.05, 0.02, -0.02, -0.21, -0.19, -0.02, 0.03, 
##     0.14, 0.11, 0.14, 0.19, 0.19, 0.21, 0.22, 0.31, 0.32, 0.34, 
##     0.34, 0.37, 0.39, 0.47, 0.48, 0.45, 0.34, 0.24, 0.21, 0.13, 
##     0.1, 0.13, 0.11, 0.08, 0.06, 0.06, 0.06, 0.08, 0.1, 0.06, 
##     0.06, 0.08, 0.1, 0.06, 0.05, 0, 0, 0.02, 0.02, 0.03, 0.03, 
##     0, 0.06, 0.06, 0.08, 0.11, 0.14, 0.29, 0.37, 0.18, 0.16, 
##     0.14, 0.13, 0.13, 0.19, 0.18, 0.13, 0.11, 0.1, 0.13, 0.19, 
##     0.16, 0.13, 0.08, 0.03, 0.03, -0.03, -0.03, -0.03, -0.1, 
##     -0.11, -0.08, -0.03, -0.06, -0.21, 0.06, 0.02, 0.05, 0.03, 
##     0.03, 0.1, 0.13, 0.19, 0.1, 0.06, 0.1, 0.34, 0.35, 0.43, 
##     0.43, 0.47, 0.42, 0.45, 0.45, 0.37, 0.32, 0.21, 0.1, 0.14, 
##     0.18, 0.18, 0.18, 0.19, 0.19, 0.21, 0.19, 0.19, 0.18, 0.11, 
##     0.06, 0.03, 0.08, 0.08, 0.1, 0.16, 0.19, 0.21, 0.21, 0.19, 
##     0.22, 0.11, 0.11, 0.18, 0.14, 0.1, 0.13, 0.16, 0.18, 0.05, 
##     0.02, -0.03, -0.06, -0.06, -0.11, -0.29, -0.06, 0.02, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.21, 0.24, 0.22, 0.18, 
##     0.11, 0.06, 0.05, 0.16, 0.24, 0.27, 0.31, 0.45, 0.42, 0.31, 
##     0.27, 0.26, 0.24, 0.21, 0.21, 0.21, 0.19, 0.18, 0.21, 0.19, 
##     0.24, 0.31, 0.31, 0.31, 0.32, -0.13, -0.08, 0, 0.11, 0.1, 
##     0.02, -0.06, -0.16, -0.02, 0, -0.03, 0.02, 0.05, 0, 0.14, 
##     0.24, 0.21, 0.26, 0.21, 0.13, 0.11, 0.16, 0.06, -0.08, -0.02, 
##     0.08, 0.22, 0.34, 0.24, 0.08, 0.08, 0.08, 0.05, -0.02, -0.1, 
##     -0.08, -0.03, 0, 0.05, 0.03, 0.08, 0.19, 0.19, 0.22, 0.26, 
##     0.27, 0.31, 0.32, 0.32, 0.34, 0.37, 0.37, 0.39, 0.42, 0.47, 
##     0.48, 0.37, 0.13, -0.02, -0.05, -0.05, -0.02, 0, -0.03, -0.03, 
##     -0.02, -0.03, -0.05, 0.1, 0.05, 0, -0.05, -0.06, -0.03, -0.03, 
##     -0.02, 0.03, 0.06, 0.05, 0.02, -0.08, -0.14, -0.21, -0.24, 
##     0.02, 0.1, 0.1, 0.1, 0.11, 0.16, 0.22, 0.24, 0.22, 0.19, 
##     0.14, 0.06, -0.02, 0.16, 0.14, 0.16, 0.16, 0.19, 0.22, 0.1, 
##     0.11, 0.13, 0.37, 0.35, 0.29, 0.24, 0.02, 0.05, 0.14, 0.18, 
##     0.26, 0.29, 0.11, 0.06, 0.06, 0.1, 0.13, 0.19, 0.18, 0.19, 
##     0.21, 0.21, 0.22, 0.21, 0.21, 0.26, 0.08, 0.03, -0.05, -0.02, 
##     0, -0.02, 0, 0.06, 0.1, 0.19, 0.21, 0.27, 0.19, 0.05, 0.05, 
##     0.1, 0.13, 0.18, 0.16, -0.06, 0.21, 0.29, 0.32, 0.29, 0.21, 
##     0.18, 0.21, 0.27, 0.35, 0.39, 0.4, 0.35, 0.32, 0.29, 0.22, 
##     0.22, 0.14, 0.18, 0.19, 0.19, 0.14, 0.13, 0.11, 0.1, 0.05, 
##     -0.03, -0.03, -0.05, -0.05, -0.03, -0.02, -0.02, -0.02, 0.03, 
##     0.1, 0.18, 0.31, 0.32, 0.27, 0.27, 0.24, 0.18, 0.16, 0.18, 
##     0.14, 0.16, 0.14, 0.14, 0.14, 0.13, 0.11, -0.03, -0.02, -0.03, 
##     -0.03, -0.02, 0.08, 0.08, 0.18, 0.1, -0.14, -0.22, -0.26, 
##     -0.21, -0.14, 0.32, 0.34, 0.47, 0.47, 0.43, 0.26, 0.14, 0.08, 
##     0.08, 0.11, 0.13, 0.13, 0.11, 0.13, 0.08, 0.06, -0.06, 0, 
##     0.08, 0.08, 0.03, 0.03, 0.16, 0.19, 0.14, 0.24, 0.16, 0.14, 
##     0.31, 0.18, 0.13, 0.08, 0.05, -0.03, 0.06, 0.13, 0.24, 0.24, 
##     0.26, 0.21, 0.14, 0.11, 0.02, 0.03, 0.05, 0, 0.06, 0.08, 
##     0.03, -0.02, -0.02, 0.02, 0, -0.05, 0.29, 0.31, 0.31, 0.24, 
##     0.19, 0.18, 0.19, 0.39, 0.32, 0.19, 0.21, 0.19, 0.19, 0.29, 
##     0.32, 0.34, 0.31, 0.31, 0.24, 0.22, 0.22, 0.19, 0.21, 0.21, 
##     0.19, 0.14, 0.11, 0.1, 0.1, -0.03, -0.03, 0, -0.02, -0.05, 
##     -0.08, -0.11, -0.13, -0.14, 0.05, 0.31, 0.13, -0.03, 0.14, 
##     0.27, 0.27, 0.19, 0.02, 0.1, 0.13, 0.16, 0.1, 0.06, 0.06, 
##     0.03, 0.05, 0.08, 0.08, 0.11, 0.1, 0.11, 0.13, 0.1, 0.11, 
##     0.13, 0.08, 0.06, 0.06, 0.11, 0.16, 0.22, 0.31, 0.45, 0.48, 
##     0.51, 0.53, 0.43, 0.35, 0.34, 0.32, 0.31, 0.31, 0.29, 0.34, 
##     0.35, 0.31, 0.31, 0.18, 0.06, 0.02, -0.02, 0.03, 0.02, 0, 
##     0.08, 0.1, 0.1, 0.11, 0.1, 0.13, 0.18, 0.19, 0.19, 0.19, 
##     0.18, 0.14, 0.16, 0.16, 0.16, 0.16, 0.18, 0.18, 0.19, 0.19, 
##     0.19, -0.24, -0.22, -0.22, -0.22, -0.27, -0.27, -0.29, -0.27, 
##     -0.26, -0.26, -0.26, 0.05, 0.1, 0.21, 0.19, 0.16, 0.13, 0.06, 
##     -0.34, -0.47, -0.55, -0.72, -1.17, -1.49, -1.85, -1.99, -1.99, 
##     -1.94, -0.74, -0.69, -0.64, -0.55, -0.43, -0.29, 0.02, 0.24, 
##     0.27, 0.27, 0.31, 0.27, 0.24, 0.21, 0.18, 0.11, 0.08, 0.02, 
##     -0.03, 0.02, 0.18, 0.14, 0.18, 0.18, 0.08, -0.05, -0.13, 
##     -1, -1.11, -1.09, -1.08, -1.03, -1.01, -1.12, -0.9, -0.85, 
##     -0.9, -0.95, -0.63, -0.14, 0.02, 0.03, 0.11, 0.22, 0.31, 
##     0.48, 0.06, 0.1, 0.08, 0.18, 0.16, 0.18, 0.22, 0.27, 0.21, 
##     -0.02, -0.1, -0.22, -0.47, -0.56, 0.1, 0.14, 0.18, 0.19, 
##     0.24, 0.08, 0.05, -0.02, -0.05, -0.06, -0.13, -0.21, -0.47, 
##     -0.59, -0.8, -0.98, -1.11, -1.11, -1.04, -1.01, -0.98, -0.87, 
##     -0.67, -0.61, -0.59, -0.59, -0.53, -0.47, -0.35, -0.22, -0.03, 
##     -0.13, -0.08, 0, 0.06, 0.13, 0.14, -0.03, -0.05, 0, 0.06, 
##     0.16, 0.27, 0.26, 0.32, 0.37, 0.31, 0.34, 0.27, 0.22, 0.18, 
##     0.06, -0.26, -0.48, -0.63, -0.75, -0.82, -0.96, -1.03, -1.04, 
##     -0.87, -1, -0.98, -0.95, -0.87, -0.66, -0.59, -0.51, -0.47, 
##     -0.61, -0.39, -0.21, 0, -0.03, -0.06, 0.1, 0.31, 0.21, 0.21, 
##     0.24, 0.29, 0.29, 0.22, 0.14, 0.11, 0.05, 0, -0.29, -0.4, 
##     -0.48, -0.48, -0.4, -0.06, 0.03, 0.14, 0.16, -0.06, -0.85, 
##     -0.87, -0.75, -0.63, -0.51, -0.59, -0.64, -0.66, -0.72, -0.79, 
##     -0.72, -0.63, -0.58, -0.56, -0.72, -0.77, -0.75, -0.53, -0.37, 
##     -0.05, -0.02, 0.16, 0.24, 0.34, 0.16, 0.13, -0.02, -0.1, 
##     0.05, 0.06, -0.14, -0.19, -0.19, -0.31, -0.31, -0.19, -0.19, 
##     -0.22, -0.35, -0.45, -0.64, -0.72, -0.82, -0.95, -1.03, -1.03, 
##     -0.9, -0.88, -0.8, -0.75, -0.42, -0.34, -0.14, -0.21, -0.53, 
##     -0.16, -0.11, -0.08, -0.1, 0.02, 0.06, 0.11, 0.1, 0.06, -0.19, 
##     -0.24, -0.11, -0.11, 0.02, 0.11, 0.1, 0.31, 0.32, 0.27, 0.11, 
##     -0.03, -0.21, -0.74, -0.82, -0.88, -0.92, -0.93, -0.93, -0.88, 
##     -0.85, -0.8, -0.74, -0.63, -0.42, -0.5, -0.72, -0.74, -0.8, 
##     -0.83, -0.82, -0.82, -0.8, -0.61, -0.51, -0.42, -0.26, -0.18, 
##     -0.19, -0.39, -0.37, -0.19, -0.16, -0.19, -0.13, -0.08, -0.03, 
##     -0.05, -0.13, -0.19, -0.16, -0.11, -0.08, -0.03, 0.02, 0.02, 
##     0.03, 0.05, 0, -0.08, -0.16, -0.14, -0.06, 0.06, -0.03, -0.58, 
##     -0.72, -0.79, -0.79, -0.83, -0.92, -0.9, -1, -0.98, -0.92, 
##     -0.87, -0.83, -0.8, -0.74, -0.71, -0.69, -0.63, -0.45, -0.34, 
##     -0.05, -0.11, -0.27, -0.22, -0.06, -0.16, -0.06, -0.02, -0.13, 
##     -0.22, -0.27, -0.43, -0.39, -0.32, -0.18, -0.18, -0.18, -0.11, 
##     0.06, 0.21, 0.11, 0.05, 0.1, 0.08, 0, 0.03, 0.03, 0.08, 0.08, 
##     0.13, 0.13, 0.13, 0.18, 0.18, 0.18, 0.18, 0.32, 0.32, 0.32, 
##     0.32, 0.43, 0.61, 0.71, 0.71, 0.71, 0.71, 0.71, 0.66, 0.58, 
##     0.58, 0.58, 0.58, 0.58, 0.58, 0.58, 0.58, 0.58, 0.31, 0.21, 
##     0.05, -0.05, -0.18, -0.31, -0.31, -0.31, -0.27, -0.26, -0.35, 
##     -0.35, -0.35, -0.35, -0.34, -0.34, -0.34, -0.32, -0.31, -0.31, 
##     -0.31, -0.31, -0.31, -0.31, -0.31, -0.31, -0.31, -0.31, -0.31, 
##     -0.31, -0.31, -0.31, -0.31, -0.32, -0.32, -0.31, -0.31, -0.31, 
##     -0.31, 0.37, 0.35, 0.35, 0.34, 0.34, 0.34, 0.32, 0.31, 0.31, 
##     0.35, 0.42, 0.47, 0.47, 0.43, 0.42, 0.43, 0.4, 0.37, 0.37, 
##     0.37, 0.32, 0.31, 0.27, 0.26, 0.22, 0.18, 0.13, 0.11, 0.1, 
##     0.1, 0.18, 0.22, 0.67, 0.69, 0.69, 0.64, 0.63, 0.56, 0.35, 
##     0.4, 0.42, 0.43, 0.45, 0.4, 0.39, 0.39, 0.35, 0.34, 0.34, 
##     0.35, 0.35, 0.37, 0.35, 0.29, 0.27, 0.29, 0.29, 0.31, 0.32, 
##     0.34, 0.34, 0.35, 0.37, 0.37, 0.35, 0.32, 0.31, 0.32, 0.32, 
##     0.32, 0.32, 0.34, 0.34, 0.35, 0.35, 0.35, 0.35, 0.34, 0.34, 
##     0.35, 0.35, 0.34, 0.34, 0.34, 0.34, 0.35, 0.35, 0.37, 0.35, 
##     0.37, 0.35, 0.34, 0.34, 0.35, 0.35, 0.37, 0.34, 0.32, 0.29, 
##     0.27, 0.26, 0.24, 0.27, 0.27, 0.45, 0.5, 0.58, 0.58, 0.58, 
##     0.58, 0.59, 0.48, 0.5, 0.58, 0.53, 0.48, 0.47, 0.5, 0.53, 
##     0.59, 0.59, 0.56, 0.47, 0.42, 0.24, 0.24, 0.29, 0.27, 0.26, 
##     0.27, 0.34, 0.34, 0.32, 0.34, 0.37, 0.43, 0.47, 0.45, 0.47, 
##     0.43, 0.35, 0.18, 0.19, 0.24, -0.05, -0.26, -0.53, -0.35, 
##     -0.1, -0.9, -0.82, -0.8, -0.67, -0.42, -0.31, -0.18, -0.21, 
##     -0.26, -0.14, 0.39, 0.77, 1.45, 1.56, 1.91, 1.64, 1.51, 0.59, 
##     0.51, 0.53, 0.45, 0.96, 0.96, 0.74, 0.5, 0.22, -0.22, -0.27, 
##     -0.34, -0.43, -0.32, -0.19, -0.43, -0.83, -0.74, -0.55, -0.11, 
##     0.22, 0.9, 0.74, 0.45, 0.48, 0.55, 0.63, 0.87, 0.95, 0.55, 
##     0.61, 0.75, 0.69, 0.79, 0.75, 0.96, 0.95, 0.9, 0.58, -0.21, 
##     -0.26, -0.26, -0.24, -0.24, -0.26, -0.31, -0.32, -0.21, -0.21, 
##     -0.03, 0.08, 0.31, 0.59, 0.87, 0.74, 0.51, 0.37, 0.34, 0.34, 
##     0.47, 0.59, 0.75, 0.95, 1.3, 1.45, 1.61, 1.65, 1.64, 1.78, 
##     1.57, 1.32, 0.85, 0.61, 0.19, -0.34, -0.1, -0.02, 0.51, 1.01, 
##     0.98, 0.85, 0.66, 0.42, 0, -0.03, -0.05, -0.35, -0.34, -0.34, 
##     -0.32, -0.32, -0.35, -0.39, -0.32, 0, 0.18, 0.77, 0.75, 0.72, 
##     0.63, 0.51, 0.43, 0.4, 0.39, 0.39, 0.48, 0.58, 0.55, 0.93, 
##     0.85, 0.56, 0.66, 0.59, 0.5, 0.48, 0.79, 0.63, 0.88, 0.96, 
##     1.03, 0.61, 0.03, -0.1, -0.18, -0.27, -0.27, -0.27, -0.19, 
##     -0.14, -0.18, -0.21, -0.14, 0.11, 0.59, 0.75, 0.85, 0.79, 
##     0.72, 0.64, 0.53, -0.16, 0.16, 0.37, 0.47, 0.59, 0.58, 0.53, 
##     0.37, 0.27, 0.27, 0.29, 0.45, 0.45, 0.56, 0.66, 0.67, 0.69, 
##     0.64, 0.53, 0.67, 1.03, 0.98, 0.71, 0.48, 0, -0.06, -0.18, 
##     -0.21, -0.24, -0.26, -0.26, -0.02, 0.08, 0.22, 0.37, 0.5, 
##     0.64, 0.83, -0.05, -0.14, -0.11, -0.16, 0.66, 0.43, 0.5, 
##     0.58, 0.55, 0.59, 0.83, 0.95, 1, 0.66, 0.37, 0.27, 0.29, 
##     0.66, 0.71, 0.83, 0.9, 0.75, 0.69, 0.85, 0.74, 0.9, 0.85, 
##     0.82, 0.83, 0.8, 0.5, 0.31, 0.32, 0.35, 0.47, 0.8, 0.85, 
##     0.9, 0.72, 0.51, 0.06, -0.24, -0.22, -0.24, -0.26, -0.31, 
##     0.03, 0.21, 0.75, 0.56, 0.55, 0.53, 0.61, 0.66, 0.67, 0.75, 
##     0.63, 0.5, 0.72, 0.11, 0.1, 0.11, 0.13, 0.14, 0.16, 0.18, 
##     0.16, 0.13, 0.14, 0.16, 0.13, 0.06, -0.16, -0.11, -0.03, 
##     -0.03, 0, 0.1, 0.14, 0.22, 0.27, 0.29, 0.34, 0.37, 0.42, 
##     0.48, 0.45, 0.42, 0.37, 0.32, 0.27, 0.22, 0.19, 0.14, 0.13, 
##     0.14, 0.16, 0.14, 0.11, 0.11, 0.16, 0.18, 0.16, 0.14, 0.16, 
##     0.13, 0.13, 0.11, 0.14, 0.16, 0.11, 0.16, 0.16, 0.14, 0.18, 
##     0.21, 0.21, 0.24, 0.26, 0.24, 0.22, 0.21, 0.18, 0.13, 0.08, 
##     0.1, 0.11, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 
##     0.27, 0.29, 0.22, 0.22, 0.19, 0.16, 0.05, 0.05, 0.06, 0.03, 
##     0.11, 0.14, 0.18, 0.21, 0.21, 0.24, 0.16, 0.19, 0.18, 0.14, 
##     0.14, 0.14, 0.13, 0.1, 0.05, 0.06, 0.08, 0.11, 0.27, 0.31, 
##     0.26, 0.18, 0.16, 0.19, 0.16, 0.1, 0.13, 0.14, 0.11, 0.13, 
##     0.11, 0.06, 0.05, 0.11, 0.14, 0.18, 0.19, 0.21, 0.19, 0.13, 
##     0.13, 0.14, 0.21, 0.08, 0.1, 0.22, 0.24, 0.22, 0.21, 0.19, 
##     0.11, 0.05, 0, 0, -0.02, 0.03, 0.14, 0.21, 0.26, 0.29, 0.27, 
##     0.32, 0.19, 0.11, 0.03, 0.02, 0, 0.06, 0.05, 0.06, 0.1, 0.22, 
##     0.11, 0.11, 0, -0.05, 0, 0.05, 0.05, 0.19, 0.11, 0.14, 0.16, 
##     0.18, 0.19, 0.19, 0.14, 0.11, 0.06, 0.06, 0.08, 0.16, 0.18, 
##     0.18, 0.14, 0.13, 0.14, 0.14, 0.16, 0.19, 0.16, 0.14, 0.14, 
##     0.11, 0.08, 0.1, 0.1, 0.1, 0.03, -0.08, -0.06, 0.05, 0.16, 
##     0.26, 0.31, 0.32, 0.34, 0.37, 0.42, 0.31, 0, 0, 0.05, 0.08, 
##     0.13, 0.14, 0.16, 0.11, 0.1, 0.1, 0.1, 0.08, 0.1, 0.06, 0.1, 
##     0.14, 0.18, 0.24, 0.47, 0.56, 0.66, 0.95, 1.01, 1.08, 0.98, 
##     0.9, 0.39, 0.06, -0.03, 0.02, 0, 0.05, -0.05, -0.13, 0.29, 
##     0.31, 0.37, 0.39, 0.39, 0.35, 0.24, 0.18, 0.16, 0.14, 0.16, 
##     0.11, 0.1, 0.11, 0.18, 0.16, 0.18, 0.21, 0.21, 0.22, 0.26, 
##     0.29, 0.26, 0.29, 0.32, 0.32, 0.31, 0.27, 0.16, 0.13, 0.11, 
##     0.08, 0.02, 0, 0.02, 0.03, -0.03, -0.03, -0.05, 0, 0.06, 
##     0.14, 0.22, 0.26, 0.27, 0.31, 0.31, 0.26, 0.29, 0.26, 0.22, 
##     0.22, 0.22, 0.22, 0.19, 0.16, 0.13, 0.1, 0.06, -0.03, -0.14, 
##     -0.22, -0.26, -0.35, -0.43, -0.5, -0.59, -0.69, -0.77, -0.92, 
##     -0.95, -0.96, -0.96, -0.9, -0.82, -0.8, -0.74, -0.64, -0.48, 
##     -0.45, -0.35, -0.32, -0.13, -0.06, -0.03, -0.03, 0, 0.35, 
##     0.34, 0.32, 0.27, 0.24, 0.31, 0.37, 0.37, 0.42, 0.42, 0.47, 
##     0.59, 1.01, 0.96, 0.72, 0.61, 0.48, -0.02, -0.1, 0.03, -0.03, 
##     -0.21, -0.26, -0.37, -0.79, -0.8, -0.88, -0.92, -0.88, -0.93, 
##     -0.88, -0.87, -0.83, -0.8, -0.67, -0.63, -0.48, -0.48, -0.47, 
##     -0.37, -0.29, -0.24, -0.29, -0.21, -0.11, -0.03, 0.02, 0.11, 
##     0.31, 0.39, 0.45, 0.47, 0.48, 0.53, 0.96, 1, 1.03, 0.88, 
##     0.83, 0.8, 0.87, 1.01, 0.88, 0.8, 0.69, 0.61, 0.45, 0.43, 
##     0.43, 0.42, 0.45, 0.48, 0.43, 0.47, 0.43, 0.32, 0.19, 0.26, 
##     0.21, 0.18, 0.45, 0.56, 0.4, 0.37, 0.32, 0.22, 0.16, 0.06, 
##     0, -0.05, -0.1, -0.37, -0.71, -0.85, -0.98, 0.19, 0.27, 0.29, 
##     0.34, 0.34, 0.35, 0.26, 0.29, 0.34, 0.39, 0.4, 0.58, 0.85, 
##     0.93, 0.87, 0.95, 0.92, 0.85, 0.74, 0.72, 0.71, 0.64, -1.06, 
##     -1.09, -1.01, -1.01, -1.01, -0.96, -0.85, -0.85, -0.83, -0.8, 
##     -0.74, -0.66, -0.56, -0.31, -0.11, 0.06, 0.08, 0.05, -0.03, 
##     -0.05, -0.1, -0.11, -0.03, 0.06, 0.11, 0.14, 0.22, 0.31, 
##     0.35, 0.77, 0.98, 1.22, 1.33, 1.32, 1.25, 1.08, 0.93, 0.9, 
##     0.77, 0.69, 0.67, 0.66, 0.55, 0.47, 0.39, -0.1, -0.08, -0.11, 
##     -0.1, -0.06, -0.03, -0.06, -0.13, 0.02, 0.08, 0.16, 0.21, 
##     0.21, 0.26, 0.26, 0.26, 0.31, 0.34, 0.34, 0.32, 0.24, 0.29, 
##     0.19, 0.43, 0.69, 0.88, 0.66, 0.66, 0.53, 0.48, 0.18, 0.66, 
##     0.66, 0.79, 0.77, 0.24, 0.13, 0.24, 0.26, -0.02, -0.1, -0.21, 
##     -0.08, 0.02, 0.37, 0.51, 0.64, 0.79, 0.95, 1.04, 1.16, 1.19, 
##     0.85, 0.61, 0.03, 0.03, 0.03, 0.32, 0.42, 0.47, 0.53, 0.95, 
##     0.93, 0.88, 0.9, 0.95, 1.03, 1.12, 1.14, 1.08, 1.01, 0.98, 
##     0.9, 0.75, 0.63, 0.55, 0.53, 0.45, 0.29, -0.87, -1.28, -1.36, 
##     0.96, 1.11, 1.08, 0.96, 0.74, 0.37, 0.08, 0.21, 0.34, 0.22, 
##     0.37, 0.24, 0.31, 0.37, 0.24, 0.24, 0.26, 0.1, 0.11, 0.18, 
##     0.19, 0.1, 0.1, 0.18, 0.24, 0.24, 0.26, 0.18, 0.22, 0.56, 
##     0.63, 0.74, 0.92, 1, 1.01, 1.03, 1.19, 1.27, 1.17, 0.96, 
##     0.9, 0.85, 0.8, 0.79, 0.72, 0.67, 0.64, 0.63, 0.18, 0, -0.24, 
##     -0.55, -0.63, -0.69, -0.5, -0.11, 0.32, 0.55, 1.06, 1.19, 
##     1.24, 1.08, 0.82, 0.8, 0.53, 0.59, 0.34, 0.26, 0.1, 0.08, 
##     0.21, -0.02, 0.02, 0.56, 0.75, 0.98, 1.17, 1.17, 0.9, 0.71, 
##     0.63, 0.51, 0.43, 0.47, 0.42, 0.26, 0.43, 0.61, 0.53, 0.26, 
##     0.1, -0.05, -0.32, -0.55, -0.16, 0.55, 0.22, -0.18, -1.16, 
##     -0.56, 0.19, 0.67, 0.9, 1.06, 0.98, 1.08, 0.83, 0.61, 0.56, 
##     0.61, 0.63, 0.39, 0.48, 0.39, 0.37, 0.58, 0.53, 0.4, 0.32, 
##     0.22, 0.11, 0.02, 0, 0, -0.22, -0.11, 0.06, 0.35, 0.5, 0.67, 
##     0.75, 1.16, 1.17, 1.19, 1.04, 1.11, 1.19, 1.08, 1.01, 1, 
##     0.87, 0.18, 0.43, 0.69, 0.96, 1.09, 1.04, 1.06, 1.04, 1, 
##     0.87, 0.88, 0.61, 0.5, 0.24, -1.24, -0.08, 0.08, 0.21, 0.67, 
##     1.14, 1.28, 0.93, 0.79, 0.82, 0.61, 0.26, 0.39, 0.56, 0.39, 
##     0.05, 0.21, 0.22, 0.21, 0.1, 0.1, -0.05, -0.13, -0.16, -0.22, 
##     -0.13, 0.69, 0.64, 0.71, 0.64, 0.79, 0.98, 1.03, 1.01, 0.96, 
##     0.85, 0.74, 0.64, 0.37, 0.26, 0.18, 0.11, 0.1, 0.22, 0, 0, 
##     0.05, 0.16, 0.16, 0.14, 0.18, 0.21, 0.26, 0.32, 0.35, 0.35, 
##     0.42, 0.45, 0.43, 0.43, 0.4, 0.39, 0.4, 0.4, 0.39, 0.35, 
##     0.35, 0.35, 0.34, 0.34, 0.34, 0.35, 0.35, 0.35, 0.35, 0.34, 
##     0.14, 0.1, 0.11, 0.18, 0.02, 0.14, 0.16, 0.19, 0.26, 0.13, 
##     -0.06, -0.16, -0.19, -0.18, -0.11, -0.02, 0.05, 0.14, 0.11, 
##     -0.06, -0.16, 0.48, 0.53, 0.74, 0.87, 0.95, 0.96, 0.34, 0.06, 
##     -0.03, -0.08, -0.13, -0.11, -0.11, -0.14, -0.19, -0.18, -0.26, 
##     -0.35, -0.18, -0.03, 0.05, 0.14, 0.5, 0.67, 0.42, 0.59, 0.43, 
##     0.37, 0.29, 0.27, 0.31, 0.35, 0.34, 0.4, 0.37, 0.53, 0.47, 
##     0.48, 0.48, 0.42, 0.64, 0.79, 0.98, 1, 0.96, 0.88, 0.51, 
##     0.37, 0.22, -0.03, -0.08, 0.5, 0.45, 0.45, 0.77, 0.72, 0.79, 
##     0.85, 0.79, 0.67, 0.67, 0.67, 0.63, 0.61, 0.58, 0.53, 0.56, 
##     0.8, 0.72, 0.74, 0.79, 0.08, -0.21, -0.11, -0.02, -0.05, 
##     -0.1, 0.48, 0.42, 0.32, 0.31, 0.29, 0.27, 0.29, 0.31, 0.31, 
##     0.31, 0.32, 0.34, 0.32, 0.34, 0.34, 0.34, 0.35, 0.37, 0.39, 
##     0.37, 0.39, 0.37, 0.37, 0.39, 0.39, 0.37, 0.37, 0.37, 0.37, 
##     -0.39, -0.35, -0.35, -0.34, -0.32, -0.34, -0.34, -0.34, -0.35, 
##     -0.34, -0.31, -0.31, -0.31, -0.31, -0.31, -0.31, -0.31, -0.31, 
##     -0.31, -0.32, -0.32, -0.32, -0.35, -0.13, -0.18, -0.06, -0.13, 
##     -0.21, -0.21, 0, 0.02, 0.02, -0.05, -0.03, 0.05, 0.03, 0.03, 
##     -0.19, -0.27, -0.47, -0.48, -0.5, -0.55, -0.58, -0.63, -0.66, 
##     -0.77, -0.83, -0.9, -1, -1.04, -1.08, -1.12, -1.09, -1.14, 
##     -1.17, -1.2, -1.16, -1.11, -1, -0.87, -0.72, -0.71, -0.66, 
##     -0.64, -0.16, -0.02, -0.02, 0.05, 0.27, 0.1, 0.11, 0.66, 
##     0.61, 0.56, 0.45, 0.06, 0.22, 1.11, 0.87, 0.67, 0.77, 0.53, 
##     0.29, 0.37, 0.47, 0.32, 0.31, 0.43, 0.39, 0.22, 0.16, 0.24, 
##     0.19, 0.05, 0.26, 0.1, 0.16, 0.13, 0.29, 0.18, 0.06, -0.03, 
##     -0.26, 0.06, 0.06, 0.1, 0.13, 0.42, 0.51, 0.61, 0.71, 0.8, 
##     0.87, 0.93, 1.03, 1.08, 1.16, 1.12, 1.04, 0.95, 0.75, 0.66, 
##     0.67, 0.71, -0.1, -0.13, -0.16, -0.11, 0.06, 0.32, 0.58, 
##     0.69, 0.96, 1.03, 1.14, 1.2, 1.22, 0.96, 0.75, 0.75, 0.59, 
##     0.59, 0.42, -0.75, -0.55, 0.24, 0.55, 0.51, 0.53, 0.39, 0.18, 
##     -0.55, -0.98, -1.27, 0.42, 0.53, 0.71, 0.85, 0.9, 1.08, 0.83, 
##     0.43, 0.42, 0.13, 0.45, 0.31, 0.43, 0.29, 0.13, 0.18, 0.16, 
##     0.11, 0.02, 0.11, 0.14, 0.19, 0.26, 0.32, 0.43, 0.48, 0.58, 
##     0.77, 0.95, 0.93, 1, 1.06, 1.12, 1.17, 1.19, 0.96, 0.98, 
##     0.35, 0.32, 0.48, 0.56, 0.13, 0.08, -0.06, -0.19, -0.22, 
##     -0.22, -0.14, -0.18, -0.21, -0.34, -0.39, -0.45, -0.45, -0.29, 
##     -0.05, -0.02, 0, 0, 0, -0.02, -0.06, -0.08, -0.05, -0.02, 
##     0, 0.06, 0.13, 0.18, 0.19, 0.18, 0.19, 0.18, 0.14, 0.14, 
##     0.11, 0.08, 0.05, 0.1, 0.18, 0.22, 0.22, 0.27, 0.34, 0.35, 
##     0.45, 0.45, 0.34, 0.39, 0.34, 0.26, 0.22, 0.18, -0.56, -0.74, 
##     -0.75, -0.66, -0.35, -0.27, -0.24, -0.24, -0.27, -0.29, -0.29, 
##     -0.27, -0.26, -0.16, 0, 0.03, 0.24, 0.26, 0.13, 0.27, 0.34, 
##     0.48, 0.59, 0.61, 0.61, 0.37, 0.27, 0.32, 0.35, 0.42, 0.22, 
##     0.19, 0.16, 0.05, -0.14, -0.18, -0.26, -0.32, -0.34, -0.35, 
##     -0.34, -0.27, -0.37, -0.45, -0.5, -0.72, -0.87, -0.93, -0.95, 
##     -0.93, -0.5, -0.32, 0.43, 0.43, 0.58, 0.66, 0.71, 0.8, 1.04, 
##     1.11, 1.17, 1.32, 0.51, 0.48, 0.56, 0.66, 0.61, 0.55, 0.58, 
##     0.43, 0.34, 0.32, 0.24, 0.22, 0.13, 0.02), gyros_dumbbell_y = c(-0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, 
##     -0.03, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
##     0, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 4.37, 0.43, 0.48, 0.51, 0.51, 0.51, 0.51, 0.5, 0.5, 
##     0.45, 0.42, 0.4, 0.39, 0.35, -0.16, -0.13, -0.08, -0.05, 
##     -0.02, -0.02, 0.02, -0.02, -0.03, -0.13, -0.05, 0.03, -0.05, 
##     0.1, 0.13, 0.11, 0.06, -0.03, -0.1, -0.14, -0.16, -0.18, 
##     -0.19, -0.21, -0.22, -0.22, -0.19, -0.13, -0.13, -0.13, -0.13, 
##     -0.13, -0.13, -0.14, -0.14, -0.14, -0.14, -0.1, -0.08, -0.1, 
##     -0.1, -0.1, -0.08, -0.05, -0.03, -0.05, -0.05, -0.05, -0.06, 
##     -0.1, -0.11, -0.13, -0.11, -0.13, -0.13, -0.11, -0.11, -0.13, 
##     -0.11, -0.14, -0.18, -0.18, -0.16, -0.11, -0.1, -0.1, -0.08, 
##     -0.08, -0.06, -0.06, -0.06, -0.08, -0.1, -0.1, -0.1, -0.11, 
##     -0.11, -0.11, -0.1, -0.1, -0.1, -0.11, -0.13, -0.13, -0.13, 
##     -0.02, 0, -0.03, -0.1, -0.06, -0.06, -0.08, -0.08, -0.1, 
##     -0.06, -0.08, -0.08, -0.1, -0.1, -0.1, -0.11, -0.11, -0.11, 
##     -0.1, -0.13, -0.13, -0.11, -0.11, -0.14, -0.11, -0.1, -0.11, 
##     -0.11, -0.1, -0.1, -0.1, -0.08, -0.08, -0.1, -0.1, -0.11, 
##     -0.11, -0.11, -0.1, -0.11, -0.13, -0.13, -0.11, -0.08, -0.08, 
##     -0.11, -0.11, -0.14, -0.14, -0.16, -0.11, -0.19, -0.19, -0.19, 
##     -0.24, -0.21, -0.19, -0.19, -0.21, -0.21, -0.16, -0.13, -0.06, 
##     -0.08, -0.1, -0.14, -0.18, -0.21, -0.26, -0.24, -0.22, -0.19, 
##     0.42, 0.35, -0.19, -0.4, -0.32, -0.26, -0.24, -0.21, -0.26, 
##     -0.19, -0.13, -0.05, -0.02, -0.02, -0.1, -0.02, 0.05, 0.03, 
##     0.02, -0.06, -0.08, -0.06, -0.03, 0.06, 0.11, 0.21, 0.19, 
##     0.03, -0.13, -0.32, -0.26, -0.21, -0.19, -0.21, -0.19, -0.18, 
##     -0.14, -0.11, -0.08, -0.08, -0.02, 0.08, 0.08, 0.08, 0.06, 
##     0.1, 0.11, 0.11, 0.1, 0.1, 0.1, 0.06, -0.22, -0.39, -0.42, 
##     -0.34, -0.16, -0.16, -0.08, -0.06, -0.05, -0.14, -0.26, -0.13, 
##     -0.1, -0.21, -0.26, -0.26, -0.02, 0.02, 0.03, 0.06, -0.08, 
##     -0.11, -0.1, -0.1, -0.08, -0.1, -0.11, -0.11, -0.1, -0.1, 
##     -0.1, -0.06, -0.06, -0.06, -0.18, -0.19, -0.19, -0.16, -0.08, 
##     -0.06, 0.03, 0.18, 0.26, 0.31, 0.31, 0.21, 0.1, -0.03, -0.18, 
##     -0.27, -0.32, -0.35, -0.32, -0.32, -0.32, -0.29, -0.29, -0.37, 
##     -0.27, -0.19, -0.18, -0.18, -0.14, -0.06, -0.06, -0.05, -0.05, 
##     -0.05, 0, 0, -0.02, -0.02, 0.13, 0.11, 0.1, 0.11, 0.02, -0.1, 
##     -0.1, -0.14, -0.11, -0.19, -0.11, -0.08, -0.06, -0.02, 0, 
##     -0.05, -0.14, -0.13, -0.11, -0.06, -0.21, -0.06, -0.1, -0.1, 
##     -0.08, -0.11, -0.11, -0.1, -0.06, -0.08, -0.06, -0.08, -0.06, 
##     -0.08, -0.11, -0.1, -0.05, 0.06, 0.14, 0.21, 0.22, 0.29, 
##     0.27, 0.19, -0.24, -0.37, -0.43, -0.43, -0.42, -0.37, -0.34, 
##     -0.31, -0.26, -0.16, -0.16, -0.08, -0.08, -0.11, -0.11, -0.11, 
##     -0.22, -0.19, -0.16, -0.11, -0.1, -0.06, -0.05, -0.03, -0.08, 
##     -0.08, -0.11, -0.08, -0.06, -0.05, 0, 0, 0.06, 0.27, 0.24, 
##     0.05, -0.11, -0.22, -0.29, -0.31, -0.29, -0.21, -0.18, -0.1, 
##     -0.13, -0.08, -0.1, -0.06, -0.27, -0.18, -0.02, -0.06, -0.11, 
##     -0.02, 0.06, 0.1, 0.03, -0.03, -0.02, 0.02, 0.03, 0, -0.18, 
##     -0.18, -0.19, -0.24, -0.29, -0.27, -0.16, -0.11, -0.11, -0.18, 
##     -0.14, -0.11, -0.06, -0.1, -0.03, 0, 0, -0.03, -0.03, 0, 
##     -0.1, -0.18, -0.22, -0.26, -0.29, -0.24, -0.11, -0.02, 0.08, 
##     0.18, -0.24, -0.29, -0.27, -0.21, -0.19, -0.19, -0.03, -0.1, 
##     -0.13, -0.18, -0.16, -0.14, -0.21, -0.19, -0.19, -0.06, -0.05, 
##     -0.03, 0, 0.02, 0.1, 0.11, 0.03, -0.06, -0.13, -0.21, -0.26, 
##     -0.26, -0.24, -0.18, -0.11, -0.08, -0.05, -0.1, 0, -0.02, 
##     -0.14, -0.19, -0.18, -0.21, -0.27, -0.26, -0.26, -0.14, -0.06, 
##     -0.03, 0.02, 0.08, 0.18, 0.14, 0.05, -0.02, -0.05, -0.11, 
##     -0.18, -0.13, -0.08, 0.08, 0.18, 0.08, -0.19, -0.22, -0.22, 
##     -0.21, -0.13, -0.14, -0.16, -0.4, -0.4, -0.35, -0.31, -0.24, 
##     -0.03, 0.03, 0.18, 0.13, 0.24, 0.24, 0.21, 0.13, -0.13, -0.27, 
##     -0.27, -0.22, -0.16, -0.18, -0.08, -0.18, -0.31, -0.31, -0.16, 
##     -0.19, -0.06, -0.02, -0.1, -0.31, 0.06, 0.11, 0.1, -0.06, 
##     -0.08, -0.11, -0.16, -0.08, -0.06, 0, -0.02, -0.08, -0.1, 
##     -0.14, -0.14, 0.05, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.1, 
##     0.1, 0.03, 0.05, 0.06, 0.06, 0.05, 0.06, 0.08, 0.08, 0.06, 
##     0.06, 0.06, 0.08, 0.1, 0.1, 0.1, 0.08, 0.05, 0.05, 0.03, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.06, 0.05, 0.03, 0.05, 0.06, 
##     0.05, 0.06, 0.08, 0.08, 0.08, 0.02, 0.14, 0.13, 0.13, 0.1, 
##     0.1, 0.02, 0, -0.03, -0.05, -0.03, 0, 0.02, 0.02, 0, 0.03, 
##     0.06, 0.06, 0.1, 0.1, 0.1, 0.08, 0.08, 0.06, 0.06, 0.06, 
##     0.08, 0.06, 0.06, 0.06, 0.05, 0.03, -0.03, -0.03, 0.02, 0.03, 
##     0.03, -0.02, 0.02, 0, 0.03, 0.02, 0.03, 0.03, 0.03, 0.02, 
##     0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.05, 0.05, 0.05, 0.06, 
##     0.05, 0.05, 0.05, 0.03, 0.11, 0.16, 0.18, 0.14, 0.1, 0.06, 
##     0.06, 0.02, 0, 0, -0.02, 0, 0.02, 0, 0, 0.03, 0.03, 0.05, 
##     0.05, 0.05, 0.06, 0.06, 0.06, 0.06, 0.05, 0.05, 0.05, 0.05, 
##     0.03, 0.03, 0.05, 0.03, 0.02, 0.03, 0.08, 0.06, 0.05, 0.06, 
##     0.03, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.06, 0.06, 
##     0.06, 0.05, 0.06, 0.06, 0.03, 0.03, 0.05, 0.05, 0.06, 0.08, 
##     0.08, 0.05, 0.05, 0.06, 0.05, -0.02, 0.03, 0.02, 0.06, 0.06, 
##     0.08, 0.1, 0.08, 0.08, 0.08, 0.08, 0.06, 0.06, 0.11, 0.13, 
##     0.1, 0.06, 0.06, 0.06, 0.06, 0.05, 0.03, 0.03, 0.06, 0.1, 
##     0.1, 0.03, 0.05, 0.08, 0.02, 0, 0.05, 0.02, 0.02, 0.02, 0.06, 
##     0.03, 0.03, 0.03, 0.02, 0.02, 0.03, 0.18, 0.14, 0.1, 0.08, 
##     0.1, 0.08, 0.11, 0.06, 0.08, 0.08, 0.1, 0.16, 0.19, 0.21, 
##     0.21, 0.16, 0.18, 0.19, 0.11, 0.14, 0.18, 0.19, 0.19, 0.19, 
##     -0.02, 0.03, 0.02, 0.06, 0.1, 0.11, 0.08, 0.08, 0.06, 0.05, 
##     0.06, 0.05, 0.06, 0.06, 0.06, 0.06, 0.05, 0.06, 0.05, 0.03, 
##     0.02, 0.05, 0.06, -0.03, 0.03, 0.08, 0.08, 0.06, 0.11, 0.1, 
##     0.13, 0.13, 0.13, 0.11, 0.1, 0.08, 0.08, 0.1, 0.08, 0.08, 
##     0.19, 0.11, 0.1, 0.1, 0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 
##     0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 0.13, 0.08, 0.02, 
##     0.03, 0.06, 0.1, 0.08, 0.08, 0.08, 0.08, 0.06, 0.03, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.02, 0.03, 0.02, 0.03, 0.06, 
##     0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 0.03, 0.06, 0.08, 0.06, 
##     0.06, 0.06, 0.05, 0.05, 0.06, 0.1, 0.16, 0.21, 0.24, 0.39, 
##     0.4, 0.31, 0.29, 0.27, 0.18, 0.03, -0.1, 0.02, 0.06, 0.1, 
##     0.03, 0.05, 0.05, 0.05, 0.05, 0.05, 0.06, 0.11, 0.1, 0.1, 
##     0.1, 0.08, 0.1, 0.1, 0.1, 0.1, 0.06, 0.06, 0.08, 0.08, 0.02, 
##     -0.03, -0.02, -0.03, -0.03, 0.03, 0.05, 0.06, 0.14, 0.1, 
##     0.08, 0.08, 0.1, 0.08, 0.06, 0.14, 0.18, 0.16, 0.14, 0.1, 
##     0.1, 0.1, 0.08, 0.08, 0.08, 0.11, 0.11, 0.11, 0.11, 0.11, 
##     0.1, 0.11, 0.1, 0.06, 0.06, 0.06, 0.06, 0.05, 0.05, 0.05, 
##     0.06, 0.06, 0.06, 0.08, 0.1, 0.11, 0.11, 0.11, 0.08, 0.08, 
##     0.05, 0.06, 0.08, 0.06, 0, 0.03, 0.05, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.02, -0.02, -0.02, -0.03, -0.03, -0.02, 0.03, 
##     0.03, 0.08, 0.08, 0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 
##     0.13, 0.11, 0.1, 0.08, 0.05, 0.06, 0.08, 0.18, -0.22, -0.13, 
##     -0.08, 0.06, 0.08, 0.13, 0.08, 0.13, 0.08, 0.14, 0.14, 0.06, 
##     0.1, 0.19, 0.16, 0.13, -0.08, -0.1, -0.11, -0.03, -0.05, 
##     -0.05, 0.03, 0.05, 0.03, 0.06, 0.05, 0.06, 0.11, 0.11, -0.03, 
##     -0.03, -0.06, -0.06, -0.14, -0.19, -0.06, -0.08, 0.13, 0.19, 
##     0.34, 0.48, 0.53, 0.45, 0.37, 0.27, 0.19, 0.21, 0.24, 0.18, 
##     0.19, 0.21, 0.24, 0.27, 0.21, 0.21, 0.19, 0.13, 0.1, 0, 0.11, 
##     0.14, 0.14, 0.13, 0.14, 0.21, 0.24, 0.22, 0.19, 0.21, 0.18, 
##     0.11, 0.08, 0.08, 0.11, 0.1, 0.11, 0.11, 0.08, 0.03, 0.02, 
##     0.03, 0.03, 0.05, 0.05, 0.08, 0.1, 0.13, 0.06, 0.05, 0, -0.06, 
##     -0.06, -0.03, -0.08, -0.03, -0.08, -0.05, 0.03, 0.1, 0.08, 
##     0.1, 0.11, 0.19, 0.14, 0.11, 0.13, 0.21, 0.21, 0.22, 0.21, 
##     0.21, 0.24, 0.19, 0.16, 0.16, 0.16, 0.19, 0.19, 0.19, 0.18, 
##     0.16, 0.13, 0.16, 0.14, 0.16, 0.14, 0.1, 0.08, 0.11, 0.08, 
##     0.08, 0.06, 0.05, 0.1, 0.06, 0.14, -0.13, -0.1, -0.03, 0.16, 
##     0.14, 0.11, 0.14, 0.05, -0.02, -0.03, 0.06, 0.03, 0.06, 0.08, 
##     0.08, 0.13, 0.1, 0.08, 0.14, 0.19, 0.16, 0.06, 0.08, 0.08, 
##     -0.13, -0.11, -0.13, -0.16, -0.18, -0.06, -0.02, 0.02, 0.08, 
##     0.21, 0.21, 0.22, 0.31, 0.34, 0.21, 0.18, 0.22, 0.18, 0.14, 
##     0.16, 0.16, 0.14, 0.14, 0.13, 0.16, 0.08, -0.03, -0.02, 0, 
##     -0.02, -0.05, -0.06, -0.11, -0.08, -0.18, -0.14, -0.05, -0.08, 
##     -0.06, -0.05, -0.08, -0.03, -0.02, -0.05, 0, 0.02, -0.03, 
##     -0.05, -0.03, 0, 0.11, 0.11, 0.11, 0.14, 0.14, 0.26, 0.24, 
##     0.18, 0.13, 0.08, 0.02, 0.02, 0.05, -0.02, 0.02, 0.03, 0.03, 
##     0.03, 0, -0.03, 0.03, 0.05, 0.03, 0.03, 0.03, 0.02, 0.02, 
##     0.02, 0.03, 0.08, 0.14, 0.14, 0.11, 0.11, 0.19, 0.29, 0.35, 
##     0.34, 0.24, 0.14, 0.13, 0.11, 0.14, 0.16, 0.21, 0.18, 0.14, 
##     0.13, 0.11, 0.1, 0.1, 0.11, 0.1, 0.05, 0.08, 0.08, 0.06, 
##     0.03, 0.06, 0.02, 0.03, 0.02, -0.05, -0.1, -0.22, -0.22, 
##     -0.21, -0.22, -0.1, -0.02, 0.02, -0.05, 0.03, 0.02, -0.05, 
##     0, -0.11, -0.02, 0.02, -0.02, 0.1, 0.18, 0.14, 0.14, 0.03, 
##     -0.05, 0, 0.02, 0.18, 0.16, 0.16, 0.14, 0.05, 0, 0, 0, 0, 
##     0.05, 0.11, 0.11, 0.13, 0.11, 0.13, 0.14, 0.13, 0.05, 0.02, 
##     -0.06, -0.06, -0.08, -0.1, -0.05, -0.06, 0.03, 0.14, 0.21, 
##     0.34, 0.43, 0.45, 0.51, 0.56, 0.53, 0.43, 0.27, 0.02, 0, 
##     0, 0.03, 0.08, 0.13, 0.13, 0.14, 0.19, 0.16, 0.14, 0.14, 
##     0.13, 0.11, 0.06, 0.05, 0.03, 0.05, 0.06, -0.02, -0.03, 0.05, 
##     0.02, 0.05, 0.08, 0.06, 0.08, 0, -0.05, -0.08, 0, 0.08, 0.16, 
##     0.18, 0.21, 0.27, 0.32, 0.37, 0.35, 0.16, 0.1, 0.06, 0.1, 
##     0.14, 0.16, 0.18, 0.18, 0.22, 0.26, 0.16, 0.18, 0.13, 0.1, 
##     0.11, 0.11, 0.14, 0.18, 0.11, 0.11, 0.13, 0.1, 0.1, 0.08, 
##     0.05, 0.03, 0.03, 0.03, 0, -0.03, -0.03, -0.02, -0.08, -0.22, 
##     -0.22, -0.14, -0.16, -0.14, -0.13, -0.14, -0.11, -0.1, -0.1, 
##     -0.08, -0.03, 0.03, 0.08, 0.02, 0.06, 0.05, 0.03, 0.08, 0.11, 
##     0.14, 0.16, 0.16, 0.16, 0.13, 0.05, 0.03, 0.02, 0, 0.06, 
##     0.14, 0.03, -0.05, -0.11, -0.11, -0.1, -0.08, 0.05, 0.03, 
##     0.02, 0.02, 0.02, 0.03, 0, -0.02, -0.05, -0.06, -0.08, -0.08, 
##     -0.11, -0.13, -0.13, -0.13, -0.13, -0.16, -0.18, -0.19, -0.13, 
##     -0.05, -0.11, -0.11, -0.08, -0.06, -0.08, -0.06, -0.05, -0.08, 
##     -0.03, -0.02, -0.03, -0.03, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, 0.22, 0.19, 0.11, 0.06, 0.05, 
##     0.03, 0.06, 0.05, -0.51, -0.63, -0.59, -0.63, -0.58, -0.59, 
##     -0.61, -0.61, -0.66, -0.61, -0.55, -0.53, -0.66, -0.71, -0.67, 
##     -0.63, -0.58, -0.59, -0.51, -0.53, -0.51, -0.47, -0.48, -0.45, 
##     -0.45, -0.45, -0.35, -0.29, -0.21, -0.18, -0.14, -0.08, -0.21, 
##     -0.19, -0.24, -0.27, -0.24, -0.26, -0.27, -0.32, -0.32, -0.35, 
##     -0.39, -0.4, -0.45, -0.47, -0.29, -0.24, -0.18, -0.1, -0.05, 
##     0.03, 0.06, 0.18, 0.27, 0.37, 0.45, 0.51, 0.59, 0.58, 0.48, 
##     0.4, 0.35, 0.22, 0.11, 0.05, 0, 0.02, 0.03, 0.06, 0.03, -0.03, 
##     -0.13, -0.34, -0.74, -0.79, -0.83, -0.83, -0.63, -0.66, -0.63, 
##     -0.71, -0.77, -0.74, -0.74, -0.61, -0.59, -0.56, -0.51, -0.5, 
##     -0.5, -0.48, -0.51, -0.35, -0.37, -0.35, -0.34, -0.19, -0.19, 
##     -0.24, -0.21, -0.16, -0.11, -0.14, -0.16, -0.21, -0.31, -0.31, 
##     -0.32, -0.37, -0.43, -0.5, -0.45, -0.43, -0.39, -0.34, -0.29, 
##     -0.26, -0.24, -0.18, -0.11, -0.11, -0.1, -0.08, -0.03, 0, 
##     0.03, 0.1, 0.14, 0.18, 0.22, 0.31, 0.35, 0.4, 0.34, 0.24, 
##     -0.45, -0.4, -0.35, -0.37, -0.34, -0.31, -0.24, -0.19, -0.24, 
##     -0.26, -0.27, -0.31, -0.35, -0.37, -0.39, -0.39, -0.43, -0.48, 
##     -0.5, -0.5, -0.48, -0.47, -0.4, -0.4, -0.37, -0.31, -0.27, 
##     -0.14, -0.02, 0.05, 0.08, 0.19, 0.34, 0.39, 0.5, 0.58, 0.56, 
##     0.08, -0.02, -0.1, -0.16, -0.16, -0.1, -0.11, -0.58, -0.71, 
##     -0.74, -0.77, -0.82, -0.74, -0.63, -0.66, -0.63, -0.56, -0.58, 
##     -0.75, -0.79, -0.8, -0.32, -0.34, -0.35, -0.37, -0.37, -0.39, 
##     -0.37, -0.37, -0.37, -0.37, -0.4, -0.47, -0.5, -0.47, -0.42, 
##     -0.34, -0.27, -0.21, -0.22, -0.16, 0.03, 0.29, 0.43, 0.51, 
##     0.48, 0.47, 0.31, 0.11, 0.05, 0.03, 0.03, 0.06, 0.03, -0.51, 
##     -0.58, -0.77, -0.74, -0.64, -0.63, -0.63, -0.63, -0.69, -0.77, 
##     -0.83, -0.88, -0.8, -0.69, 0.08, 0.02, -0.24, -0.74, -0.79, 
##     -0.83, -0.83, -0.83, -0.79, -0.56, -0.63, -0.64, -0.75, -0.74, 
##     -0.69, -0.69, -0.67, -0.67, -0.59, -0.59, -0.58, -0.45, -0.45, 
##     -0.45, -0.45, -0.47, -0.48, -0.37, -0.4, -0.43, -0.26, -0.22, 
##     -0.29, -0.31, -0.37, -0.39, -0.37, -0.42, -0.43, -0.4, -0.35, 
##     -0.26, -0.24, -0.26, -0.19, -0.16, -0.11, -0.05, -0.06, -0.03, 
##     0.05, 0.06, 0.06, 0.06, 0.06, 0.11, 0.22, 0.24, 0.24, 0.26, 
##     0.27, 0.34, 0.27, 0.19, -0.11, -0.48, -0.8, -0.87, -0.83, 
##     -0.72, -0.63, -0.67, -0.64, -0.67, -0.72, -0.74, -0.74, -0.72, 
##     -0.64, -0.61, -0.51, -0.5, -0.5, -0.48, -0.42, -0.45, -0.5, 
##     -0.51, -0.47, -0.48, -0.51, -0.51, -0.47, -0.45, -0.43, -0.39, 
##     -0.43, -0.43, -0.43, -0.39, -0.37, -0.34, -0.34, -0.27, -0.27, 
##     -0.29, -0.4, -0.32, -0.31, -0.26, -0.24, -0.24, -0.03, 0.02, 
##     0.05, 0.1, 0.37, 0.55, 0.74, 0.77, 0.77, 0.69, 0.42, 0.24, 
##     -0.14, -0.22, -0.27, -0.29, -0.43, -0.51, -0.61, -0.69, -0.75, 
##     -0.75, -0.77, -0.4, -0.39, -0.43, -0.4, -0.42, -0.4, -0.37, 
##     -0.27, -0.24, -0.26, -0.19, -0.03, -0.22, -0.27, -0.29, -0.29, 
##     -0.31, -0.32, -0.4, -0.43, -0.5, -0.51, -0.51, -0.5, -0.5, 
##     -0.43, -0.39, -0.39, -0.37, -0.31, -0.27, -0.26, -0.26, -0.26, 
##     -0.26, -0.26, -0.27, -0.27, -0.29, -0.31, -0.29, -0.31, -0.29, 
##     -0.29, -0.31, -0.29, -0.29, -0.29, -0.29, -0.29, -0.29, -0.31, 
##     -0.31, -0.29, -0.29, -0.31, -0.31, -0.32, -0.31, -0.31, -0.29, 
##     -0.31, -0.31, -0.31, -0.31, -0.32, -0.31, -0.31, -0.32, -0.32, 
##     -0.31, -0.31, -0.32, -0.35, -0.37, -0.39, -0.4, -0.43, -0.45, 
##     -0.48, -0.48, -0.4, -0.39, -0.39, -0.35, -0.39, -0.4, -0.47, 
##     -0.43, -0.05, -0.03, 0.19, 0.5, 0.45, 0.47, 0.5, 0.59, 0.8, 
##     0.85, 0.88, 0.9, 0.85, 0.79, 0.71, 0.59, 0.22, 0.13, 0.1, 
##     0.03, 0, -0.22, -0.45, -0.55, -0.63, -0.71, -1.01, -0.96, 
##     -0.88, -0.88, -0.93, -0.95, -0.93, -0.93, -0.88, -0.82, -0.53, 
##     -0.51, -0.5, -0.42, -0.27, -0.21, -0.27, -0.31, -0.16, -0.19, 
##     -0.27, -0.27, -0.31, -0.37, -0.4, -0.43, -0.48, -0.51, -0.53, 
##     -0.5, -0.5, -0.48, -0.45, -0.29, 0.02, 0.22, 0.34, 0.42, 
##     0.45, 0.47, 0.56, 0.13, 0.11, 0.13, 0.14, 0.14, 0.14, 0.14, 
##     0.14, 0.14, 0.13, 0.13, 0.11, 0.13, 0.14, 0.14, 0.14, 0.16, 
##     0.16, 0.16, 0.16, 0.16, 0.16, 0.14, 0.16, 0.16, 0.14, 0.14, 
##     0.14, 0.14, 0.18, 0.14, 0.13, 0.14, 0.14, 0.13, 0.13, 0.13, 
##     0.14, 0.11, 0.13, 0.13, 0.13, 0.14, 0.14, 0.16, 0.14, 0.14, 
##     0.14, 0.13, 0.11, 0.11, 0.13, 0.11, 0.11, 0.14, 0.14, 0.14, 
##     0.14, 0.14, 0.14, 0.14, 0.16, 0.16, 0.16, 0.14, 0.14, 0.14, 
##     0.14, 0.14, 0.14, 0.14, 0.14, 0.13, 0.14, 0.14, 0.14, 0.14, 
##     0.14, 0.14, 0.14, 0.14, 0.14, 0.16, 0.16, 0.14, 0.16, 0.16, 
##     0.16, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.11, 0.1, 0.1, 
##     0.13, 0.11, 0.13, 0.14, 0.16, 0.16, 0.16, 0.16, 0.16, 0.14, 
##     0.14, 0.14, 0.14, 0.13, 0.14, 0.14, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.16, 0.14, 0.14, 0.14, 0.14, 0.16, 
##     0.16, 0.14, 0.14, 0.16, 0.14, 0.16, 0.14, 0.14, 0.14, 0.14, 
##     0.14, 0.16, 0.14, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, 
##     0.16, 0.16, 0.16, 0.16, 0.14, 0.16, 0.16, 0.14, 0.16, 0.16, 
##     0.14, 0.14, 0.14, 0.14, 0.16, 0.16, 0.14, 0.14, 0.16, 0.16, 
##     0.16, 0.16, 0.14, 0.14, 0.11, 0.11, 0.13, 0.14, 0.16, 0.13, 
##     0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.14, 0.16, 0.16, 0.16, 
##     0.18, 0.16, 0.16, 0.13, 0.13, 0.13, 0.14, 0.14, 0.13, 0.14, 
##     0.13, 0.13, 0.16, 0.18, 0.16, 0.18, 0.14, 0.14, 0.19, 0.21, 
##     0.18, 0.19, 0.18, 0.16, 0.16, 0.14, 0.14, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 0.13, 0.24, 0.29, 0.31, 
##     0.24, 0.18, 0.29, 0.34, 0.42, 0.74, 0.85, 0.8, 0.74, 0.64, 
##     0.35, 0.31, 0.22, 0.1, 0.1, 0.06, 0.02, 0, 0.03, 0.02, -0.03, 
##     -0.06, 0.16, 0.21, 0.27, 0.31, 0.24, 0.19, 0.11, 0.03, 0.02, 
##     0.13, 0.14, 0.14, 0.14, 0.14, 0.16, 0.18, 0.14, 0.16, 0.19, 
##     0.21, 0.19, 0.18, 0.18, 0.16, 0.16, 0.14, 0.13, 0.1, 0.1, 
##     0.08, 0.08, 0.05, 0.08, 0.08, 0.1, 0.1, 0.11, 0.13, 0.14, 
##     0.14, 0.13, 0.14, 0.11, 0.11, 0.13, 0.14, 0.14, 0.14, 0.14, 
##     0.16, 0.11, 0.11, 0.16, 0.21, 0.21, 0.18, 0.14, 0.16, 0.16, 
##     0.13, 0.14, 0.14, 0.14, 0.14, 0.16, 0.18, 0.16, 0.16, 0.16, 
##     0.16, 0.18, 0.16, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 
##     0.14, 0.14, 0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 
##     0.14, 0.14, 0.13, 0.16, 0.16, 0.08, 0.13, 0.16, 0.21, 0.14, 
##     0.16, 0.08, 0.1, 0.13, 0.16, 0.16, 0.24, 0.16, 0.13, 0.08, 
##     0.05, -0.02, -0.13, -0.29, -0.29, -0.34, -0.32, -0.32, -0.32, 
##     -0.29, -0.24, -0.19, -0.18, -0.16, -0.18, -0.18, -0.16, -0.06, 
##     -0.06, -0.02, -0.03, -0.03, -0.06, 0, 0.14, 0.11, 0.11, -0.03, 
##     -0.06, -0.05, -0.06, -0.05, -0.03, 0.02, 0.05, 0.05, 0, -0.13, 
##     -0.13, -0.14, -0.16, -0.18, -0.14, -0.13, -0.05, -0.05, -0.11, 
##     -0.18, -0.16, -0.11, -0.1, -0.13, -0.1, -0.05, -0.03, 0.02, 
##     -0.06, -0.1, 0.05, 0.05, 0.02, 0.06, 0.08, 0.08, 0.27, 0.29, 
##     0.29, 0.29, 0.29, 0.35, 0.35, 0.32, 0.32, 0.32, 0.37, 0.43, 
##     0.42, 0.35, 0.27, -0.02, -0.29, -0.31, -0.26, -0.18, -0.24, 
##     -0.24, -0.22, -0.21, -0.24, -0.21, -0.18, -0.16, -0.18, -0.14, 
##     -0.13, -0.14, -0.08, -0.06, -0.08, -0.03, 0, 0.03, 0.05, 
##     0.1, 0.06, 0.05, 0.08, 0.03, 0, 0.03, 0.14, 0.18, -0.11, 
##     -0.18, -0.18, -0.16, -0.16, -0.18, -0.16, -0.13, -0.03, -0.06, 
##     -0.05, -0.03, -0.02, -0.06, -0.18, -0.19, -0.13, -0.05, 0.08, 
##     0.13, 0.13, 0.13, 0.1, 0.06, 0.03, 0, -0.03, 0.11, 0.19, 
##     0.34, 0.37, 0.39, 0.39, 0.42, 0.35, 0.06, -0.1, -0.19, -0.27, 
##     -0.31, -0.24, -0.21, -0.19, -0.27, -0.18, -0.16, -0.16, -0.16, 
##     -0.03, 0.06, 0.06, 0.1, 0.08, 0.08, 0.08, -0.1, -0.1, 0.08, 
##     0.08, 0.11, 0.14, 0.1, -0.24, -0.29, -0.19, -0.13, 0.05, 
##     -0.03, -0.08, -0.05, -0.03, -0.02, -0.03, -0.05, -0.03, -0.05, 
##     -0.08, -0.1, -0.06, -0.05, -0.02, 0.05, 0.1, 0.11, 0.1, 0.03, 
##     0.03, 0, 0.02, 0.11, 0.16, 0.22, 0.35, 0.39, 0.39, 0.42, 
##     0.4, 0.32, -0.05, -0.11, -0.18, -0.27, -0.24, -0.24, -0.19, 
##     -0.24, -0.29, -0.27, -0.26, -0.24, -0.16, -0.16, -0.16, -0.13, 
##     -0.08, -0.06, -0.05, -0.14, -0.05, 0.02, 0.05, 0.21, 0.21, 
##     0.13, 0.1, 0.11, 0.13, 0.18, 0.02, -0.13, -0.26, -0.16, -0.06, 
##     -0.06, -0.19, -0.14, -0.14, -0.19, -0.19, -0.18, -0.16, -0.18, 
##     -0.22, -0.19, -0.16, -0.05, 0.03, 0.03, 0.08, 0.11, -0.03, 
##     -0.03, -0.02, 0.11, 0.16, 0.21, 0.26, 0.34, 0.37, 0.48, 0.51, 
##     0.31, -0.02, -0.29, -0.29, -0.27, -0.29, -0.32, -0.16, -0.13, 
##     -0.02, 0, 0.05, 0.05, 0.13, 0.1, 0.08, 0.08, 0.06, 0.1, 0.02, 
##     0.1, 0.19, 0.26, 0.31, 0.34, 0.31, 0.19, 0.05, -0.13, -0.22, 
##     -0.21, -0.21, -0.24, -0.13, -0.03, -0.05, -0.11, -0.08, -0.03, 
##     -0.02, 0, 0.08, 0.06, -0.02, -0.06, -0.08, -0.1, -0.08, 0.05, 
##     0.26, 0.27, 0.27, 0.27, 0.26, 0.31, 0.14, 0.02, -0.14, -0.22, 
##     -0.14, -0.16, -0.18, -0.16, -0.14, -0.06, 0.05, 0.08, 0.1, 
##     0.13, -0.03, 0, 0.03, -0.02, -0.06, 0.03, 0.03, 0, 0.05, 
##     0.1, 0.19, 0.14, 0.1, 0.11, 0.13, 0.05, 0.02, -0.1, -0.13, 
##     -0.11, -0.08, -0.06, -0.08, -0.19, -0.22, -0.11, -0.08, -0.05, 
##     0, -0.05, -0.05, -0.06, -0.11, -0.05, 0.02, 0.14, 0.19, 0.29, 
##     0.29, 0.26, 0.31, 0.32, 0.32, 0.29, 0.13, -0.05, -0.18, -0.24, 
##     -0.27, -0.19, -0.19, -0.16, -0.13, -0.08, 0.03, 0, 0.05, 
##     0.08, 0.03, 0.03, -0.02, -0.08, 0, 0.02, 0.06, 0.06, 0.1, 
##     0.14, 0.03, -0.1, -0.13, -0.16, -0.18, -0.22, -0.22, -0.21, 
##     -0.19, -0.08, 0.02, 0.05, 0.03, 0, -0.03, -0.05, -0.08, -0.1, 
##     -0.03, -0.06, -0.14, 0.06, 0.16, 0.21, 0.16, 0.13, 0.02, 
##     -0.02, 0.06, 0.18, 0.27, 0.4, 0.06, -0.24, -0.26, -0.02, 
##     -0.02, -0.03, -0.03, -0.1, -0.06, -0.06, -0.08, -0.06, -0.02, 
##     0, 0.1, 0.11, 0.1, 0.11, 0.11, 0.14, 0.16, 0.29, 0.27, 0.27, 
##     0.34, 0.45, 0.48, 0.43, 0.24, 0.1, -0.13, -0.27, -0.31, -0.27, 
##     -0.26, -0.24, -0.27, -0.27, -0.21, -0.18, -0.16, -0.13, -0.08, 
##     0, 0.05, 0.03, 0, 0.05, 0.03, 0.05, 0.16, 0.19, 0.16, 0.27, 
##     0.31, 0.26, 0.18, -0.06, -0.14, -0.13, -0.11, -0.14, -0.19, 
##     -0.22, -0.08, -0.05, -0.08, -0.06, -0.08, -0.14, -0.18, -0.13, 
##     -0.11, -0.1, -0.06, -0.02, 0.02, 0.03, 0.05, 0.05, 0.06, 
##     0.05, 0, -0.03, -0.14, -0.16, -0.11, 0.13, 0.22, 0.27, 0.27, 
##     0.29, 0.29, 0.29, 0.34, 0.4, 0.48, 0.14, 0.05, -0.03, -0.08, 
##     -0.13, -0.18, -0.19, -0.26, -0.26, -0.21, -0.19, -0.22, 0, 
##     0.02, 0.06, 0.02, 0.13, 0.18, 0.1, 0.05, 0.1, -0.05, -0.1, 
##     -0.05, 0, 0.03, 0.02, 0.03, -0.21, -0.22, -0.18, -0.18, -0.16, 
##     -0.13, -0.13, -0.11, 0, 0.05, 0.06, 0.06, 0.06, 0.02, 0.02, 
##     0, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 0, 0, 0, -0.02, 
##     -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.02, 0, 
##     0, 0, -0.02, 0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, 0, -0.02, 
##     -0.02, 0, 0, -0.02, -0.03, 0, 0, 0.02, 0.02, 0.02, 0, 0.03, 
##     0, 0.02, 0.11, 0.18, 0.18, 0.16, 0.13, 0.11, 0.18, 0.21, 
##     0.16, 0.11, 0.19, 0.16, 0.16, 0.14, 0.13, 0.1, 0.06, 0.1, 
##     0.13, 0.16, 0.16, 0.14, 0.11, 0.1, 0.19, 0.18, 0.06, 0.19, 
##     0.16, 0.16, 0.13, 0.11, 0.05, 0.06, 0.16, 0.19, 0.19, 0.14, 
##     0.14, 0.13, 0.13, 0.13, 0.14, 0.18, 0.16, 0.16, 0.14, 0.18, 
##     0.14, 0.13, 0.13, 0.14, 0.14, 0.14, 0.14, 0.13, 0.14, 0.14, 
##     0.14, 0.14, 0.16, 0.14, 0.16, 0.14, 0.14, 0.14, 0.14, 0.16, 
##     0.14, 0.14, 0.13, 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.14, 0.14, 0.16, 0.14, 0.14, 0.16, 0.16, 0.16, 
##     0.16, 0.16, 0.14, 0.16, 0.16, 0.16, 0.18, 0.08, 0.1, 0.13, 
##     0.16, 0.16, 0.14, 0.13, 0.13, 0.14, 0.14, 0.13, 0.14, 0.14, 
##     0.16, 0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 0.14, 0.13, 0.13, 
##     0.13, 0.13, 0.14, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 
##     0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.13, 0.14, 0.16, 0.14, 
##     0.14, 0.13, 0.13, 0.14, 0.14, 0.13, 0.14, 0.14, 0.14, 0.14, 
##     0.14, 0.14, 0.14, 0.14, 0.16, 0.16, 0.1, 0.13, 0.14, 0.13, 
##     0.14, 0.16, 0.16, 0.16, 0.16, 0.19, 0.18, 0.14, 0.13, 0.13, 
##     0.11, 0.11, 0.1, 0.11, 0.13, 0.14, 0.13, 0.13, 0.14, 0.13, 
##     0.18, 0.19, 0.18, 0.13, 0.13, 0.14, 0.16, 0.14, 0.13, 0.13, 
##     0.14, 0.13, 0.1, 0.11, 0.13, 0.14, 0.16, 0.16, 0.14, 0.21, 
##     0.21, 0.19, 0.14, 0.14, 0.18, 0.18, 0.14, 0.14, 0.13, 0.16, 
##     0.16, 0.13, 0.13, 0.13, 0.13, 0.11, 0.11, 0.13, 0.14, 0.13, 
##     0.13, 0.14, 0.14, 0.16, 0.16, 0.16, 0.14, 0.16, 0.14, 0.14, 
##     0.14, 0.13, 0.14, 0.16, 0.18, 0.18, 0.16, 0.16, 0.18, 0.16, 
##     0.16, 0.18, 0.19, 0.13, 0.14, 0.18, 0.19, 0.14, 0.18, 0.14, 
##     0.11, 0.18, 0.14, 0.16, 0.18, 0.14, 0.16, 0.16, 0.14, 0.13, 
##     0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.13, 0.13, 0.14, 0.14, 
##     0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 0.13, 0.11, 0.11, 0.1, 
##     0.1, 0.1, 0.1, 0.1, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 
##     0.14, 0.16, 0.14, 0.14, 0.14, 0.13, 0.13, 0.13, 0.14, 0.14, 
##     0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 0.13, 0.13, 0.11, 0.11, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.11, 0.08, 0.1, 0.11, 0.13, 
##     0.14, 0.14, 0.14, 0.13, 0.18, 0.14, 0.16, 0.26, 0.13, 0.39, 
##     0.47, 0.5, 0.5, 0.53, 0.58, 0.58, 0.58, 0.58, 0.59, 0.61, 
##     0.56, 0.5, 0.42, 0.11, 0.1, 0.11, 0.05, -0.03, 0.14, 0.32, 
##     0.31, 0.26, 0.02, -0.13, -0.13, -0.1, -0.02, -0.02, 0, -0.06, 
##     0.02, 0.05, 0.08, -0.06, -0.13, 0.19, 0, 0.14, 0.13, 0.02, 
##     -0.02, 0, -0.05, -0.26, 0.05, 0, -0.08, -0.02, 0.08, 0.14, 
##     0.19, 0.24, 0.31, 0.35, 0.4, 0.4, 0.4, 0.48, 0.55, 0.63, 
##     0.67, 0.64, 0.64, 0.43, 0.45, 0.4, 0.32, 0.21, 0.11, 0.05, 
##     0.03, 0.05, 0.31, -0.06, -0.11, -0.08, -0.02, 0, 0.02, -0.05, 
##     0, -0.02, -0.03, -0.05, -0.03, 0.03, -0.14, 0.08, 0.24, 0.24, 
##     0.05, -0.27, -0.21, -0.13, 0.13, 0.22, 0.26, 0.31, 0.32, 
##     0.32, 0.29, 0.29, 0.26, 0.42, 0.43, 0.48, 0.53, 0.53, 0.53, 
##     0.53, 0.37, 0.35, 0.24, 0.21, 0.14, 0.24, 0.56, -0.06, 0, 
##     0.02, 0.03, 0, 0, 0.03, 0.08, 0.1, 0.06, 0.08, 0.1, 0.13, 
##     0.13, 0.02, -0.22, -0.32, -0.19, -0.08, -0.14, -0.18, -0.5, 
##     -0.53, -0.42, 0, 0.06, 0.35, 0.4, 0.37, 0.26, 0.14, 0.13, 
##     0.19, 0.4, 0.5, 0.53, 0.55, 0.56, 0.48, 0.43, 0.43, 0.45, 
##     0.43, 0.4, 0.35, 0.31, 0.27, 0.29, 0.35, 0.45, 0.39, 0.27, 
##     0.03, -0.1, -0.13, -0.11, -0.13, -0.06, -0.11, -0.11, 0.03, 
##     -0.02, 0, -0.06, -0.27, -0.26, -0.08, 0.06, 0.08, -0.19, 
##     -0.29, -0.4, -0.26, -0.1, 0.18, 0.24, 0.31, 0.35, 0.42, 0.26, 
##     0.35, 0.35, 0.34, 0.34, 0.39, 0.48, 0.22, 0.19, 0.16, 0.08, 
##     -0.02, 0.16, 0.26, 0.35, 0.53, 0.13, 0.02, -0.05, -0.05, 
##     -0.05, -0.06, 0.03, 0.02, 0.06, 0.03, 0.02, -0.08, 0.08, 
##     0.19, 0.1, 0.03, 0.05, 0.11, 0.14, 0.03, -0.22, -0.32, -0.35, 
##     -0.26, -0.16, -0.06, 0.32, 0.45, 0.31, 0.26, 0.27, 0.35, 
##     0.4, 0.39, 0.45, 0.47, 0.43, 0.42, 0.42, 0.48, 0.37, 0.29, 
##     0.21, 0.16, -0.03, -0.02, 0.06, 0.13, 0.1, 0.11, 0.18, 0.31, 
##     0.1, 0, 0.05, 0.05, 0.1, -0.05, 0, 0, 0.08, 0.06, -0.03, 
##     -0.08, -0.02, 0.05, 0.03, 0.02, 0.1, 0.27, -0.08, 0.13, 0.14, 
##     -0.08, -0.22, -0.39, -0.48, -0.5, -0.45, -0.32, -0.18, 0, 
##     0.14, 0.34, 0.47, 0.48, 0.4, 0.24, 0.45, 0.48, 0.48, 0.48, 
##     0.42, 0.4, 0.26, 0.18, -0.16, -0.06, 0.21, 0.26, 0.11, 0.05, 
##     0.02, 0.03, 0.11, 0.11, 0.02, 0.03, 0, -0.06, -0.1, -0.13, 
##     -0.11, 0, -0.1, -0.05, 0.08, 0, -0.1, -0.21, -0.37, -0.32, 
##     -0.21, -0.16, -0.05, 0.06, 0.06, 0.24, 0.27, 0.29, 0.31, 
##     0.24, 0.24, 0.29, 0.32, 0.31, 0.35, 0.39, 0.45, 0.51, 0.47, 
##     0.45, 0.37, 0.35, 0.19, 0.18, 0.13, 0.08, 0.13, 0.27, 0.45, 
##     0.56, 0.51, 0.39, 0.24, -0.05, 0.03, 0.05, 0.06, 0.08, 0.03, 
##     0.06, 0.05, 0.06, 0.05, 0.03, 0.03, -0.21, -0.1, 0.03, 0.06, 
##     0.05, 0.13, 0.24, 0.08, -0.06, -0.16, -0.24, 0.11, 0.18, 
##     0.31, 0.18, 0.16, 0.26, 0.32, 0.43, 0.48, 0.47, 0.43, 0.43, 
##     0.45, 0.48, 0.51, 0.53, 0.55, 0.43, 0.35, 0.31, 0.27, 0.22, 
##     0.37, 0.39, 0.47, -0.08, -0.26, -0.21, -0.03, -0.14, -0.11, 
##     -0.14, -0.08, -0.19, -0.18, 0.26, 0.31, -0.02, -0.56, -0.4, 
##     -0.05, -0.03, 0.42, 0.43, 0.26, 0.31, 0.51, 0.61, 0.59, 0.56, 
##     0.55, 0.59, 0, 0, 0, 0.02, 0, 0, -0.02, -0.03, -0.05, -0.05, 
##     -0.03, -0.03, -0.03, -0.02, 0, 0.02, 0.02, 0.03, 0.02, 0.02, 
##     0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, -0.03, -0.02, -0.05, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, 0.45, 0.48, 0.5, 0.4, 0.31, 
##     0.24, 0.14, 0.13, 0.16, 0.14, 0.08, 0.13, 0.14, 0.1, 0.05, 
##     -0.03, -0.02, -0.02, 0.02, 0.03, 0.05, 0.06, 0.08, 0.1, 0.08, 
##     0.03, 0.06, 0.06, -0.03, 0.02, 0.02, 0.03, 0.08, 0.18, 0.19, 
##     0.29, 0.35, 0.43, -0.22, -0.29, -0.18, -0.13, -0.14, -0.16, 
##     -0.13, -0.03, 0.02, 0.1, 0.1, 0.02, 0, -0.02, 0, -0.02, 0.06, 
##     0.26, 0.21, -0.02, 0.05, 0, -0.03, -0.02, -0.13, -0.14, -0.13, 
##     -0.24, -0.31, -0.32, -0.27, -0.24, -0.22, -0.14, -0.14, 0.08, 
##     0.08, 0.02, 0.08, 0.1, 0.13, -0.11, -0.18, -0.16, -0.11, 
##     -0.21, -0.22, -0.19, -0.27, -0.29, -0.26, -0.26, -0.26, -0.21, 
##     -0.26, -0.06, -0.11, -0.02, 0, 0.08, 0.03, 0.18, 0.26, 0.27, 
##     0.37, 0.34, 0.26, 0.24, 0.27, 0.06, 0.05, 0.02, -0.13, -0.16, 
##     -0.24, -0.34, -0.35, -0.39, -0.31, -0.27, -0.26, -0.08, -0.05, 
##     0.18, 0.21, 0.24, 0.24, 0.19, 0.18, 0.1, 0.05, -0.06, -0.08, 
##     -0.05, -0.02, 0.03, 0.13, 0.22, 0.26, 0.24, 0.29, 0.5, 0.56, 
##     0.53, 0.53, 0.55, 0.39, 0.32, 0.08, 0.05, 0.11, 0.02, 0.03, 
##     0.02, 0.02, -0.08, -0.11, -0.11, -0.11, -0.13, 0.16, 0.18, 
##     0.18, 0.16, 0.16, 0.16, 0.14, 0.14, 0.13, 0.14, 0.13, 0.11, 
##     0.13, 0.13, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.16, 0.14, 
##     0.16, 0.16, 0.16, 0.21, 0.21, 0.22, 0.22, 0.22, 0.13, 0.16, 
##     0.19, 0.18, 0.18, 0.19, 0.18, 0.16, 0.16, 0.16, 0.18, 0.18, 
##     0.19, 0.21, 0.21, 0.19, 0.18, 0.18, 0.16, 0.16, 0.16, 0.16, 
##     0.18, 0.19, 0.19, 0.19, 0.19, 0.18, 0.18, 0.19, 0.19, 0.16, 
##     0.13, 0.1, 0.06, 0.06, 0.05, 0.13, 0.18, 0.11, 0.1, 0.1, 
##     0.05, 0.03, 0.05, 0.1, 0.16, 0.16, 0.16, 0.18, 0.16, 0.14, 
##     0.06, 0.18, 0.16, 0.11, -0.08, 0.03, 0.14, 0.21, 0.22, 0.16, 
##     0.05, 0.11, 0.16, 0.19, 0.24, 0.27, 0.29, 0.22, 0.13, 0.1, 
##     0.08, 0.06, 0.05, 0.08, 0.1, 0.14, 0.16, 0.19, 0.21, 0.21, 
##     0.22, 0.24, 0.22, 0.21, 0.14, 0.16, 0.18, 0.18, 0.19, 0.19, 
##     0.18, 0.16, 0.16, 0.14, 0.14, 0.14, 0.16, 0.14, 0.14, 0.16, 
##     0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 0.14, 0.13, 0.13, 0.14, 
##     0.14, 0.14, 0.16, 0.21, 0.21, 0.21, 0.22, 0.22, 0.21, 0.18, 
##     0.19, 0.19, 0.1, 0.11, 0.11, 0.11, 0.11, 0.08, 0.03, 0.02, 
##     0, 0, 0.02, 0.03, 0.05, 0.05, 0.1, 0.21, 0.24, 0.26, 0.26, 
##     0.27, 0.29, 0.53, 0.55, 0.61, 0.58, 0.55, 0.53, 0.59, 0.35, 
##     0.06, -0.11, -0.43, -0.45, -0.39, 0.11, 0.29, 0.39, 0.45, 
##     0.43, 0.37, 0.37, 0.14, 0.11, 0.11, 0.13, 0.18, 0.24, 0.19, 
##     0.18, 0.16, 0.16, 0.08, 0.03, 0.03, 0.11, 0.22, 0.21, 0.11, 
##     0.1, 0.11, 0.11, 0.16, 0.16, 0.14, 0.14, 0.14, 0.16, 0.16, 
##     0.16, 0.16, 0.16, 0.13, 0.13, 0.13, 0.11, 0.1, 0.13, 0.11, 
##     0.13, 0.08, 0.02, 0, 0.1, 0.08, -0.14, -0.19, -0.13, -0.13, 
##     -0.1, -0.02, 0.11, 0.22, 0.29, 0.32, 0.29, 0.31, 0.37, 0.34, 
##     0.43, 0.5, 0.5, 0.48, 0.45, 0.5, 0.48, 0.5, 0.43, 0.14, 0.11, 
##     0.11, 0.14, 0.08, 0.08, 0.08, 0.16, 0.14, 0.11, 0.14, 0.14, 
##     0.13, 0.14, 0.18, 0.18, 0.13, 0, 0.02, 0, 0, -0.03, 0, 0.18, 
##     0.27, 0.26, 0.18, 0.11, 0.06, 0.18, 0.39, 0.13, 0.08, 0, 
##     0.14, 0.22, 0.29, 0.1, 0.14, 0.19, 0.19, 0.11, 0.13, 0.19, 
##     0.21, 0.16, 0.16, 0.16, 0.26, 0.26, 0.27, 0.29, 0.31, 0.32, 
##     0.35, 0.39, 0.24, 0.13, 0.03, 0, -0.03, -0.06, -0.1, -0.11, 
##     -0.08, -0.02, 0.03, 0.05, 0.1, 0.13, 0.16, 0.24, 0.06, -0.05, 
##     0.18, 0.26, 0.22, 0.14, 0.14, 0.21, 0.37, 0.43, 0.34, 0.18, 
##     0.18, 0.18, 0.11, 0.1, 0.06, 0.05, 0.11, 0.06, 0.1, 0.1, 
##     0.11, 0.16, 0.14, 0.08, 0.16, 0.26, 0.26, 0.21, 0.18, 0.02, 
##     0.1, 0.11, 0.1, 0.14, 0.19, 0.21, 0.26, 0.19, 0.11, 0.06, 
##     0.1, 0.21, 0.21, 0.19, 0.14, 0.16, 0.16, 0.16, 0.34, 0.32, 
##     0.24, 0.18, 0, 0, 0, 0.05, 0.06, 0.11, 0.19, 0.13, 0.1, 0.08, 
##     0.18, 0.21, 0.22, 0.26, 0.27, 0.22, 0.19, 0.16, 0.19, 0.31, 
##     0.32, 0.39, 0.35, 0.31, 0.27, 0.18, 0.03, 0.06, 0.14, 0.16, 
##     0.21, 0.24, 0.24, 0.19, 0.18, 0.13, 0.13, 0.14, 0.14, 0.14, 
##     0.16, 0.24, 0.29, 0.21, 0.11, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.11, 0.11, 0.13, 0.16, 0.1, 0.06, 0.18, 0.19, 0.26, 0.47, 
##     0.14, 0.26, 0.19, 0.14, 0.19, 0.32, 0.35, 0.37, 0.29, 0.27, 
##     0.11, 0.18, 0.19, 0.21, 0.08, 0.03, 0.06, 0.18, 0.16, 0.08, 
##     0.18, 0.21, 0.26, 0.21, 0.18, 0.18, 0.16, 0.19, 0.21, 0.22, 
##     0.22, 0.13, 0.08, 0.03, 0.06, 0.13, 0.18, 0.19, 0.18, 0.14, 
##     0.14, 0.13, 0.03, -0.03, -0.1, 0.1, 0.19, 0.24, 0.21, 0.14, 
##     0.13, 0.1, 0.13, 0.21, 0.18, 0.19, 0.27, 0.27, 0.29, 0.31, 
##     0.29, 0.26, 0.22, 0.13, 0.16, 0.14, 0.13, 0.13, 0.13, 0.13, 
##     0.14, 0.13, 0.13, 0.13, 0.1, 0.08, 0.08, 0.14, 0.16, 0.19, 
##     0.14, 0.21, 0.21, 0.19, 0.13, 0.21, 0.21, 0.13, 0.08, 0.19, 
##     0.08, 0.05, 0.03, 0.02, 0.13, 0.21, 0.24, 0.24, 0.16, 0.05, 
##     0.27, 0.26, 0.18, 0.16, 0.1, 0.08, 0.14, 0.22, 0.21, 0.19, 
##     0.14, 0.14, 0.13, 0.21, 0.19, 0.26, 0.34, 0.35, 0.37, 0.37, 
##     0.32, 0.34, 0.34, 0.31, 0.18, 0.13, 0.08, 0.06, 0.06, 0.06, 
##     0.06, 0.06, 0.08, 0.1, 0.08, 0.1, 0.1, 0.21, 0.29, 0.22, 
##     0.22, 0.14, 0.14, 0.11, -0.13, -0.1, 0.22, 0.26, 0.27, 0.29, 
##     0.27, 0.21, 0.16, 0.11, 0.08, 0.08, 0.22, 0.1, 0.18, 0.24, 
##     0.29, 0.26, 0.18, 0.16, 0.14, 0.16, 0.16, 0.16, 0.05, 0.05, 
##     0.16, 0.19, 0.18, 0.14, 0.13, 0.11, 0.1, 0.11, 0.13, 0.14, 
##     0.14, 0.16, 0.16, 0.14, 0.22, 0.24, 0.24, 0.22, 0.31, 0.43, 
##     0.4, 0.35, 0.27, 0.21, 0.14, 0.13, 0.1, 0.03, -0.02, -0.02, 
##     -0.02, 0, 0.02, -0.03, -0.18, -0.14, -0.06, -0.05, -0.06, 
##     0.03, 0.06, 0.06, 0.14, 0.19, 0.16, 0.14, 0.14, 0.16, 0.16, 
##     0.19, 0.16, 0.11, 0.11, 0.16, 0.08, 0.05, 0.11, 0.1, 0.08, 
##     0.14, 0.1, 0.03, 0.06, 0.02, -0.02, 0.1, 0.05, 0.02, 0.08, 
##     0.11, 0.18, 0.21, 0.19, 0.19, 0.19, 0.13, 0.16, 0.34, 0.47, 
##     0.56, 0.53, 0.24, 0.22, 0.21, 0.18, 0.08, 0.05, 0.02, 0, 
##     -0.03, -0.02, 0.05, 0.06, 0.06, 0.06, 0.11, 0.14, 0.14, 0.11, 
##     0.19, 0.21, 0.21, 0.18, 0.14, 0.14, 0.18, 0.18, 0.22, 0.27, 
##     0.26, 0.21, 0.26, 0.34, 0.27, 0.21, 0.27, 0.31, 0.14, 0.19, 
##     0.21, 0.13, 0.08, 0.06, 0.02, 0.02, 0.06, 0.11, 0.18, -0.05, 
##     0, 0.02, 0.06, 0.03, -0.02, 0.06, 0.08, 0.14, 0.16, 0.11, 
##     0.05, 0.06, 0.1, 0.08, 0.08, 0.1, 0.08, 0.05, 0.05, 0.06, 
##     0.06, 0.06, 0.03, 0, -0.06, 0.11, 0.06, 0.06, 0.1, 0.13, 
##     0.16, 0.27, 0.32, 0.37, 0.37, 0.39, 0.39, 0.31, 0.27, 0.18, 
##     0.21, 0.11, 0, 0, 0.1, 0.14, 0.18, 0.19, 0.21, 0.22, 0.26, 
##     0.22, 0.19, 0.24, 0.21, 0.16, 0.03, -0.05, -0.08, -0.11, 
##     -0.29, -0.31, -0.24, -0.14, -0.13, -0.18, -0.11, -0.1, -0.13, 
##     -0.1, 0.05, -0.02, 0.02, 0.08, 0.06, 0.05, 0.08, 0, 0.05, 
##     0, -0.08, -0.06, 0, 0.05, 0.08, 0.03, -0.03, -0.02, 0.13, 
##     -0.02, -0.03, 0.03, 0.26, 0.34, 0.18, 0.08, -0.08, -0.06, 
##     0, 0.03, 0.02, 0.06, -0.03, 0.27, 0.22, 0.19, 0.19, 0.19, 
##     0.21, 0.22, 0.26, 0.26, 0.18, 0.31, 0.31, 0.31, 0.27, 0.26, 
##     0.19, 0.18, 0.18, 0.21, 0.24, 0.29, 0.19, 0.14, 0.13, 0.11, 
##     0.08, 0.05, 0.05, 0.08, 0.1, 0.1, 0.13, 0.11, 0.08, 0.1, 
##     0.13, 0.14, 0.18, 0.18, 0.14, 0.13, 0.16, 0.13, 0.14, 0.21, 
##     0.26, 0.24, 0.18, 0.16, 0.14, 0.18, 0.5, 0.56, 0.61, 0.55, 
##     0.47, 0.35, 0.29, 0.22, 0.16, 0.14, 0.08, 0.14, 0.11, 0.08, 
##     0.05, 0.1, 0.05, 0.16, 0.14, 0.18, 0.21, 0.19, 0.13, 0.03, 
##     0.05, 0.03, -0.02, -0.02, 0, 0.06, 0.03, 0.14, 0.13, 0.14, 
##     0.22, 0.29, 0.34, 0.26, 0.24, 0.18, 0.24, 0.13, 0.14, 0.16, 
##     0.24, 0.18, 0.11, 0, 0.08, 0.19, 0.16, 0.22, 0.18, 0.16, 
##     0.08, 0.06, 0.06, 0.08, 0.08, 0.1, 0.1, 0.21, 0.18, 0.14, 
##     0.13, 0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.14, 0.14, 0.16, 
##     0.16, 0.14, 0.11, 0.11, 0.13, 0.14, 0.14, 0.18, 0.19, 0.21, 
##     0.16, 0.11, 0.13, 0.13, 0.13, 0.14, 0.18, 0.18, 0.14, 0.14, 
##     0.13, 0.14, 0.18, 0.21, 0.19, 0.16, 0.13, 0.1, 0.1, 0.06, 
##     0.1, 0.11, 0.13, 0.13, 0.14, 0.13, 0.13, 0.14, 0.16, 0.18, 
##     0.18, 0.14, 0.13, 0.13, 0.11, 0.11, 0.1, 0.08, 0.05, 0.11, 
##     0.14, 0.14, 0.14, 0.16, 0.16, 0.16, 0.14, -0.8, -0.83, -0.8, 
##     -0.77, -0.64, -0.63, -0.69, -0.72, -0.69, -0.61, -0.61, -0.45, 
##     -0.39, -0.4, -0.5, -0.59, -0.55, -0.51, -0.5, -0.4, -0.31, 
##     -0.08, -0.08, 0.06, 0.11, 0.13, 0.18, 0.26, 0.32, 0.37, 0.45, 
##     0.47, 0.45, 0.39, 0.21, 0.16, 0.1, 0.08, 0.08, -0.66, -0.64, 
##     -0.51, -0.55, -0.47, -0.45, -0.43, -0.42, -0.39, -0.34, -0.29, 
##     -0.32, -0.26, -0.22, -0.19, -0.24, -0.26, -0.24, -0.32, -0.32, 
##     -0.4, -0.45, -0.75, -0.63, -0.61, -0.61, -0.64, -0.47, -0.47, 
##     -0.48, -0.34, -0.32, -0.35, -0.35, -0.34, -0.32, -0.32, -0.27, 
##     -0.27, -0.24, -0.22, -0.27, -0.16, -0.19, -0.19, -0.16, -0.18, 
##     -0.24, -0.29, -0.58, -0.69, -0.82, -0.83, -0.8, -0.64, -0.64, 
##     -0.63, -0.58, -0.56, -0.61, -0.67, -0.59, -0.59, -0.64, -0.64, 
##     -0.61, -0.59, -0.59, -0.5, -0.4, -0.39, -0.35, -0.4, -0.39, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.08, 0.11, 0.11, 0.11, 0.18, 0.18, 0.21, 
##     0.21, 0.21, 0.21, 0.21, 0.26, 0.26, 0.32, 0.02, 0.02, 0.02, 
##     0, 0, 0, 0, 52, 0, -0.02, 0, -0.02, -0.02, -0.02, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, -0.02, 0, -0.02, 
##     0, 0, 0, 0, 0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
##     -0.02, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 
##     0, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.05, 
##     0.06, -0.03, -0.08, -0.16, -0.16, -0.16, -0.13, -0.1, -0.13, 
##     -0.11, -0.06, -0.06, -0.05, -0.08, -0.05, -0.05, -0.03, -0.06, 
##     -0.1, -0.11, -0.18, -0.18, -0.18, -0.08, -0.02, 0.14, 0.16, 
##     -0.08, -0.19, -0.24, -0.16, -0.1, -0.13, -0.11, -0.13, -0.11, 
##     -0.11, -0.21, -0.35, -0.37, -0.02, -0.11, -0.22, -0.24, -0.21, 
##     -0.03, -0.13, -0.16, -0.18, -0.16, -0.22, -0.19, -0.16, -0.14, 
##     -0.14, -0.18, -0.19, -0.18, -0.14, 0, -0.11, -0.16, -0.27, 
##     -0.16, -0.29, -0.19, -0.08, -0.02, 0.19, 0.14, -0.03, -0.08, 
##     0, 0.02, -0.14, -0.19, -0.16, -0.37, -0.39, -0.08, 0.1, 0.14, 
##     0.08, -0.13, -0.19, -0.18, -0.21, -0.22, -0.21, -0.22, -0.22, 
##     -0.18, -0.16, -0.16, -0.14, -0.1, -0.1, -0.13, -0.13, -0.08, 
##     -0.02, 0.02, 0.03, 0, 0.08, 0.02, -0.05, -0.22, -0.26, -0.19, 
##     -0.19, -0.14, 0.08, 0.06, 0.1, 0.13, 0.08, 0.08, 0.02, -0.06, 
##     0, 0.08, 0.18, 0.11, 0, -0.02, 0.03, 0.1, 0.13, 0.02, -0.11, 
##     -0.03, -0.03, -0.08, -0.14, -0.24, -0.22, -0.21, -0.19, -0.18, 
##     -0.13, -0.13, -0.13, -0.18, -0.18, -0.21, -0.21, -0.21, -0.18, 
##     -0.08, -0.05, -0.08, -0.06, -0.03, -0.08, -0.13, -0.14, -0.16, 
##     -0.19, -0.1, -0.03, 0.29, 0.35, 0.35, 0.29, 0.05, -0.13, 
##     -0.32, -0.32, -0.32, -0.31, -0.19, -0.19, -0.26, -0.26, -0.26, 
##     -0.32, -0.31, -0.26, -0.27, -0.1, 0, 0.1, 0.14, 0.22, 0.16, 
##     0.19, 0.21, 0.18, 0.14, 0, -0.11, -0.18, -0.22, -0.11, -0.11, 
##     -0.13, -0.11, -0.11, -0.08, -0.1, -0.06, -0.06, -0.06, -0.08, 
##     -0.08, -0.1, -0.08, -0.08, -0.06, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.1, -0.11, 
##     -0.11, 0.35, 0.34, 0.43, 0.51, 0.67, 0.82, 0.77, 0.14, -0.5, 
##     -0.56, -0.75, -0.87, -0.87, -1.04, -0.87, -0.8, -0.77, -0.61, 
##     -0.64, -0.77, -0.8, -0.9, -0.87, -0.88, -0.93, -0.88, -0.79, 
##     -0.56, -0.53, -0.51, -0.43, -0.29, -0.18, -0.18, -0.32, -0.47, 
##     -0.64, -0.59, -0.48, -0.24, -0.14, -0.02, -0.03, 0.06, 0.03, 
##     0.06, 0.08, 0.08, 0.19, 0.47, 0.59, 0.69, 0.85, 0.92, 0.92, 
##     0.88, 0.85, 0.67, 0.43, 0.27, 0.29, 0.32, 0.31, -0.13, -0.59, 
##     -0.79, -0.85, -0.83, -0.83, -0.55, -0.64, -0.67, -0.51, -0.66, 
##     -0.67, -0.66, -0.63, -0.63, -0.56, -0.67, -0.71, -0.59, -0.4, 
##     -0.31, -0.37, -0.27, -0.42, -0.51, -0.53, -0.13, -0.11, -0.06, 
##     -0.06, -0.03, 0, 0.05, 0.95, 1.01, 0.93, 0.92, 0.93, 0.98, 
##     0.82, 0.92, 0.92, 0.75, 0.63, 0.64, 0.5, 0.42, 0.24, 0.22, 
##     0.1, 0.16, 0.22, 0.21, 0.27, 0.37, 0.19, -0.1, -0.75, -0.58, 
##     -0.63, -0.66, -0.53, -0.43, -0.35, -0.51, -0.51, -0.75, -0.67, 
##     -0.67, -0.82, -0.8, -0.88, -0.59, -0.61, -0.61, -0.63, -0.51, 
##     -0.48, -0.43, -0.34, -0.08, -0.03, 0.02, 0.16, 0.21, 0.29, 
##     0.26, 0.24, 0.4, 0.58, 0.79, 0.93, 1.12, 1.17, 1.2, 1.17, 
##     1.19, 1.14, 0.71, 0.53, 0.42, 0.35, 0.39, 0.45, 0.53, 0.63, 
##     -0.56, -0.47, 0, 0, 0.05, 0.1, 0.13, 0.19, 0.29, 0.24, 0.29, 
##     0.55, 0.72, 0.83, 0.9, 1.03, 1.08, 1.06, 1.01, 0.9, 0.83, 
##     0.77, 0.59, 0.67, 0.87, 0.83, 0.69, 0.71, -1.06, -1.17, -1.65, 
##     -1.35, -0.85, -0.87, -1.06, -1.08, -0.92, -0.88, -0.92, -0.93, 
##     -0.95, -0.74, -0.58, -0.5, -0.39, -0.19, -0.1, -0.22, -0.74, 
##     -1.03, -0.43, -0.35, -0.26, -0.24, -0.14, 0.06, 0.1, 0.08, 
##     0.1, 0.14, 0.1, 0.03, 0.06, -0.03, 0.21, 0.32, 0.69, 0.83, 
##     1.09, 1.16, 1.27, 1.24, 1.27, 1.16, 0.63, 0.34, 0.42, 0.26, 
##     0.26, -0.11, -0.47, -0.45, -0.51, -0.64, -0.75, -0.79, -0.98, 
##     -0.92, -0.98, -0.83, -0.96, -0.98, -1.06, -1.2, -1.49, -1.3, 
##     -1.08, -0.14, -0.21, -0.22, 0.48, 0.5, 0.55, -0.71, -0.64, 
##     -0.63, -0.16, -0.42, -0.63, -0.61, -0.92, -0.92, -0.8, -0.8, 
##     -0.77, -0.8, -1.12, -1.12, -1.06, -0.72, -0.9, -0.92, -1.01, 
##     -1.04, -0.96, -0.77, -0.63, -0.5, -0.21, 0.02, 0.11, 0.21, 
##     0.27, 0.35, 0.39, 0.47, 0.56, 0.64, 0.8, 0.83, 1.08, 1.2, 
##     1.49, 1.57, 1.61, 1.45, 1.38, 1.2, 1.11, 1.03, 0.92, 0.72, 
##     0.61, 0.31, -0.47, -0.72, -0.98, -1.01, -1.14, -0.95, -0.74, 
##     -0.66, -0.72, -0.69, -0.8, -0.88, -1.03, -1.06, -1.27, -1.17, 
##     -1.17, -1.24, -1.25, -1.04, -1, -0.92, -0.59, -0.64, -0.72, 
##     -0.72, -0.67, -0.61, -0.53, -0.5, -0.35, -0.27, -0.22, -0.18, 
##     0.02, 0.02, 0.67, 0.75, 0.53, 0.51, 0.43, 0.4, 0.37, 0.26, 
##     0.19, 0.14, 0.14, 0.18, 0.08, -0.06, -0.27, -0.71, 0.63, 
##     0.56, 0.56, 0.56, 0.55, 0.58, 0.48, 0.37, 0.32, 0.1, 0.05, 
##     0.02, 0, 0, 0, -0.05, -0.1, -0.1, -0.03, -0.08, -0.1, -0.18, 
##     -0.42, -0.61, -0.66, -0.59, -0.59, -0.55, -0.51, -0.56, -0.66, 
##     -0.67, -0.92, -0.95, -0.93, -0.93, -0.98, -0.98, -0.98, -1.08, 
##     -1.14, -1.11, -1.08, -1.11, -0.95, -0.74, -0.55, -0.5, -0.58, 
##     -0.59, -0.61, -0.4, -0.31, -0.18, -0.13, -0.26, -0.24, -0.22, 
##     -0.26, -0.27, -0.31, -0.35, -0.5, -0.59, -0.55, -0.5, -0.26, 
##     -0.14, -0.05, 0.03, 0.13, 0.42, 0.45, 0.48, 0.55, 0.66, 0.79, 
##     0.85, 0.82, 0.64, 0.55, 0.45, 0.32, 0.26, 0.13, 0.11, 0.03, 
##     0, 0.02, -0.02, -0.1, 0.03, -0.1, -0.26, -0.35, -0.4, -0.55, 
##     -0.56, -0.61, -0.69, -0.96, -0.92, -0.83, -0.96, -0.95, -0.88, 
##     -0.9, -0.45, -0.29, -0.26, -0.11, -0.02, 0.06, 0.37, 0.42, 
##     0.55, 0.67, 0.74, 0.77, 0.83, 0.92, 0.92, 0.79, 0.72, 0.58, 
##     0.39, 0.31, 0.13, -0.08, -0.05, 0.03, 0.03, 0.05, 0.1, 0.13, 
##     0.14, 0.14, 0.19, 0.16, 0.13, 0.02, -0.14, -0.5, -0.8, -0.83, 
##     -1.03, -1.03, -1.03, -0.8, -0.8, -0.75, -0.72, -0.8, -0.8, 
##     -0.71, -0.71, -0.74, -0.79, -0.93, -0.96, -0.98, -1.04, -1.12, 
##     -1.12, -1.01, -0.82, -0.75, -0.74, -0.83, -0.83, -0.83, -0.83, 
##     -0.83, -0.82, -0.53, -0.45, -0.39, -0.31, -0.32, -0.32, -0.31, 
##     -0.31, -0.32, -0.34, -0.35, -0.34, -0.4, -0.43, -0.39, -0.02, 
##     0.18, 0.31, 0.42, -0.4, -0.59, -0.77, -0.95, -0.98, -1.01, 
##     -1.09, -1.06, -1.11, -1.03, -1, -0.95, -1.01, -0.98, -1.01, 
##     -0.98, -0.96, -1, -1.03, -1.04, -0.95, -1.11, -0.8, -0.75, 
##     -0.79, -0.79, -0.67, -0.59, -0.37, -0.31, -0.29, -0.19, -0.24, 
##     -0.24, -0.24, -0.24, -0.29, -0.35, -0.37, -0.32, -0.21, 0, 
##     0.08, 0.31, 0.42, 0.58, 0.71, 0.74, 0.77, 0.83, 0.75, 0.5, 
##     0.47, 0.4, 0.18, 0.18, 0.19, 0.21, 0.24, 0.27, 0.26, 0.19, 
##     0.13, -0.11, -0.58, -0.77, -0.98, -1.12, -1.22, -1.22, -1.14, 
##     -1.04, -0.98, -1.06, -1.14, -1.09, -1.04, -1.06, -1.08, -1.08, 
##     -0.82, -0.75, -0.92, -0.64, -0.56, -0.31, -0.1, -0.02, -0.03, 
##     -0.13, -0.24, -0.27, -0.39, -0.47, -0.53, -0.29, -0.08, 0.03, 
##     0.18, 0.59, 0.63, 0.71, 0.79, 0.74, 0.66, 0.61, 0.61, 0.66, 
##     0.42, 0.31, 0.29, 0, 0, -0.03, 0, -0.14, -0.14, -0.21, -0.59, 
##     -0.72, -0.75, -0.82, -0.79, -0.75, -0.77, -0.83, -1.2, -1.22, 
##     -1.14, -1.17, -1.17, -1.09, -1.06, -1.09, -1.01, -0.95, -0.92, 
##     -0.87, -0.82, -0.82, -0.77, -0.69, -0.22, -0.03, -0.13, -0.22, 
##     -0.26, -0.16, -0.22, -0.37, -0.51, -0.51, -0.51, -0.48, -0.45, 
##     -0.19, -0.05, 0.14, 0.29, 0.69, 0.87, 1.01, 0.9, 0.67, -1, 
##     -1.04, -1.06, -1.08, -1.14, -1.24, -1.28, -1.28, -1.17, -1.16, 
##     -1.11, -1.11, -1.11, -1.03, -1.03, -1.03, -1.03, -0.96, -0.96, 
##     -0.87, -0.59, -0.69, -0.59, -0.55, -0.51, -0.5, -0.45, -0.42, 
##     -0.43, -0.29, -0.22, -0.18, -0.11, 0.06, 0.31, 0.45, 0.56, 
##     0.56, 0.53, 0.56, 0.47, 0.42, 0.45, 0.42, 0.31, 0.31, 0.21, 
##     0.14, 0.1, 0.08, 0.1, 0.06, 0.05, 0.05, 0.02, -0.1, -0.71, 
##     -0.72, -0.72, -0.93, -1.01, -1.03, -1.01, -1.22, -1, -0.95, 
##     -1.12, -1.11, -1.11, -1.12, -0.96, -0.95, -0.87, -0.82, -0.74, 
##     -0.69, 0.02, -0.02, -0.02, -0.06, -0.06, -0.11, -0.11, -0.1, 
##     -0.11, -0.08, -0.05, 0, 0.02, 0.16, 0.19, 0.21, 1.22, 1.28, 
##     1.35, 1.4, 1.4, 1.41, 1.4, 1.4, 1.38, 1.4, 1.4, 1.4, 1.35, 
##     1.25, 1.22, 1.22, 1.12, 1.08, 1.06, 1.06, 1.01, 0.96, 0.31, 
##     0.11, -0.14, -0.83, -1.33, -1.41, -1.48, -1.56, -1.43, -1.3, 
##     -1.25, -1.01, -0.98, -0.55, -0.26, -0.21, -0.27, -0.22, -0.14, 
##     -0.06, -0.14, -0.18, -0.11, -0.06, -0.14, -0.19, -0.21, -0.21, 
##     -0.05, -0.06, 0.03, 0.05, 0.03, -0.02, 0.24, 0.69, 0.9, 1.11, 
##     1.46, 1.49, 1.53, 1.65, 1.72, 1.73, 1.69, 1.59, 1.51, 1.45, 
##     1.3, 1.09, 1, 0.58, 0.35, 0.11, -1.12, -1.22, -1.48, -1.51, 
##     -1.49, -1.46, -1.4, -1.32, -1.24, -1.22, -0.93, -0.96, -0.92, 
##     -0.95, -0.93, -0.83, -0.88, -0.75, -0.8, -0.66, -0.61, -0.39, 
##     1.77, 1.54, 1.38, 1.22, 0.71, 0.43, 0.1, -0.67, -1.04, -1.46, 
##     -1.62, -1.94, -2.06, -2.1, -2.07, -2.01, -1.93, -1.72, -1.46, 
##     -1.24, -0.88, -0.77, -0.67, -0.64, -0.61, -0.56, -0.4, -0.43, 
##     -0.24, -0.1, -0.11, -0.16, -0.19, -0.18, 0, 0.03, 0.05, 0.16, 
##     0.19, 0.24, 0.26, 0.32, 0.35, 0.42, 0.5, 0.9, 1.04, -2.01, 
##     -1.75, -1.62, -1.4, -1.17, -1.03, -0.8, -0.77, -0.74, -0.71, 
##     -0.66, -0.63, -0.56, -0.58, -0.53, -0.47, -0.45, -0.39, -0.34, 
##     -0.34, -0.31, -0.22, -0.16, 0.05, 0.05, 0.1, 0.1, -0.02, 
##     -0.05, -0.05, -0.02, 0.19, 0.24, 0.31, 0.37, 0.43, 0.48, 
##     0.53, 0.79, 0.93, 1.57, 1.67, 1.67, 1.7, 1.61, 1.51, 1.4, 
##     1.35, 1.3, 1.25, 1.25, 1.22, 1.14, 1, 0.69, 0.42, -0.47, 
##     -0.71, -1.24, -1.32, -1.36, -1.45, -1.46, -1.38, -1.4, -1.41, 
##     -1.38, -1.27, -1.22, -0.93, -0.82, -0.71, -1.3, -1.19, -1.03, 
##     -0.92, -0.82, -0.82, -0.87, -0.87, -0.92, -0.88, -0.88, -0.92, 
##     -0.88, -0.83, -0.8, -0.63, -0.56, -0.34, -0.32, -0.22, -0.08, 
##     0.03, 0.05, 0.02, -0.05, -0.08, 0.31, -0.9, -1.06, -1.17, 
##     -1.3, -1.4, -1.43, -1.38, -1.38, -1.3, -1.22, -1.22, -1.12, 
##     -1.03, -1.03, -0.95, -1.04, -1.09, -1.11, -1.12, -1, -0.92, 
##     -0.85, -0.88, -0.77, -0.61, -0.51, -0.4, -0.34, -0.02, 0.03, 
##     0.03, 0.06, 0.06, 0.27, 0.27, 0.21, 0.24, 0.4, 0.5, 0.93, 
##     1.06, 1.19, 1.43, 1.53, 1.61, 1.75, 1.78, 1.75, 1.77, -1.33, 
##     -1.09, -1.17, -0.95, -0.83, -0.64, -0.55, -0.35, -0.22, -0.21, 
##     -0.26, -0.32, -0.31, -0.08, 0.14, 0.87, 0.98, 1.08, 1.14, 
##     1.73, 2.01, 2.04, 1.98, 1.91, 1.7, 1.41, 1.19, 1.04, 0.92, 
##     0.9, 0.88, 0.87, 0.87, 0.75, 0.18, -0.31, -0.55, -0.79, -0.98, 
##     -1.38, -1.53, -1.54, -1.53, -1.36, -1.19, -1.12, -0.9, -0.79, 
##     -0.71, -0.32, -0.22, -0.13, -0.13, -0.14, -0.14, -0.1, -0.06, 
##     -0.02, 0.45, 0.32, -0.43, -0.59, -0.75, -0.82, -0.88, -0.88, 
##     -0.88, -0.9, -0.96, -0.96, -0.85, -0.83, -0.79, -0.9, -0.87, 
##     -0.88, -1.01, -1.06, -0.92, -0.95, -0.83, -0.77, -0.72, -0.66, 
##     -0.55, -0.39, -0.14, -0.13, -0.11, -0.03, -0.02, -0.02, -0.03, 
##     -0.03, -0.03, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.06, 0.05, 
##     0.05, 0.05, 0.05, 0.03, 0.03, 0.03, 0, 0, 0, 0.02, 0.02, 
##     0, 0, 0, -0.02, 0, 0, -0.02, -0.03, -0.03, -0.05, -0.05, 
##     -0.06, -0.06, -0.03, 0, 0, -0.02, -0.02, 0, 0, -0.02, -0.03, 
##     0, 0, -0.02, -0.03, -0.02, 0, 0, 0.02, 0.02, 0, 0.02, 0, 
##     0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.06, -0.08, -0.13, 
##     -0.16, -0.16, -0.14, -0.19, -0.22, -0.31, -0.29, 0.8, 0.75, 
##     0.64, 0.51, 0.39, 0.31, 0.14, 0.1, 0.19, 0.24, 0.22, 0.19, 
##     0.11, 0.05, 0.02, -0.02, -0.02, 0.05, 0.06, 0.06, 0.06, 0.06, 
##     0.03, 0, -0.06, -0.03, -0.06, -0.05, 0.02, 0, -0.03, -0.08, 
##     -0.06, -0.06, 0.02, -0.06, -0.02, 0.19, 0.16, 0.13, 0.16, 
##     0.14, 0.14, 0.13, 0.14, 0.14, 0.14, 0.13, 0.14, 0.16, 0.14, 
##     0.14, 0.16, 0.16, 0.14, 0.14, 0.14, 0.14, 0.13, 0.14, 0.13, 
##     0.13, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.16, 
##     0.16, 0.16, 0.32, 0.45, 0.67, 1.17, 1.27, 1.36, 1.46, 1.49, 
##     1.54, 1.53, 1.48, 1.4, 1.4, 1.14, 0.55, 0.14, -0.32, -0.5, 
##     -0.74, -0.85, -0.79, -0.82, -0.83, -0.75, -0.71, -1.14, -1.22, 
##     -0.83, 1.48, 1.45, 1.43, 1.69, 1.78, 1.57, 0.87, 0.59, 0.27, 
##     0.02, -0.1, -0.34, -0.59, -0.77, -0.9, -0.87, -0.79, -0.67, 
##     -0.64, -1.19, -1.22, -1.24, -1.16, -1.03, -0.42, -0.53, -0.24, 
##     -0.58, -0.63, -0.43, 0, 0.19, 0.31, 0.56, 0.71, 0.8, 0.83, 
##     0.85, 0.88, 0.96, 1.09, 1.69, 1.75, 1.65, 1.49, 1.17, 0.98, 
##     0.9, 0.63, 0.53, 0.32, 0.22, 0.11, 0.08, -0.21, -0.43, -0.56, 
##     -0.74, -0.87, -0.87, -0.88, -0.93, -1.01, -1.09, -1.2, -1.3, 
##     -0.92, -0.85, -0.66, -0.47, -0.1, -0.13, -0.24, -0.47, -0.27, 
##     0.13, 0.42, 0.48, 0.56, 0.56, 0.55, 0.53, 1.2, 1.36, 1.49, 
##     1.51, 1.41, 1.51, 1.51, 1.36, 1.17, 0.59, 0.58, 0.53, 0.16, 
##     0, -0.16, -0.34, -0.53, -0.69, -0.83, -0.83, -0.96, -1.04, 
##     -1.08, -1.17, -1.04, -0.72, -0.06, -0.06, 0.02, 0.05, -0.18, 
##     -0.26, -0.11, -0.53, -0.74, -0.92, -0.56, -0.4, -0.59, -0.67, 
##     -0.56, -0.51, -0.43, -0.47, -0.34, -0.1, 0.35, 0.43, 0.64, 
##     0.9, 0.92, 1.01, 1.11, 1.19, 1.59, 1.65, 1.75, 1.7, 1.35, 
##     0.75, 0.51, 0.32, -0.11, -0.5, -0.83, -0.8, -0.79, -0.77, 
##     -0.58, -0.58, -0.8, -0.66, -0.5, -0.4, -0.47, -0.67, -0.66, 
##     -0.64, -0.63, 0.18, 0.4, 0.48, 0.63, 0.59, 0.67, 0.79, 0.92, 
##     1.2, 1.28, 1.36, 1.56, 1.7, 1.89, 1.73, 1.57, 1.3, 1.08, 
##     0.51, 0.39, 0.05, -0.08, -0.24, -0.31, -0.59, -0.72, -0.72, 
##     -0.63, -0.63, -0.5, -0.66, -0.71, -0.8, -0.88, -0.45, -0.31, 
##     -0.51, -0.69, -0.85, -0.87, -0.87, -0.63, -0.51, -0.27, -0.16, 
##     0.13, 0.22, 0.42, 0.53, 0.43, 0.5, 0.61, 0.8, 1.01, 1.48, 
##     1.45, 1.75, 1.81, 1.78, 1.28, 1.16, 0.98, 0.47, 0.29, 0.16, 
##     -0.14, -0.29, 0.47, 0.9, 1.03, 1.19, 1.49, 1.56, 1.57, 1.59, 
##     1.45, 1.43, 1.49, 0.82, 0.58, 0.34, 0.1, -0.16, -0.08, -0.03, 
##     0.02, 0.05, 0.05, 0.02, -0.32, -0.32, -0.26, -0.29, -0.43, 
##     -0.63, 1.12, 1.3, 1.38, 0.02, 0.02, 0.02, -0.02, -0.06, -0.18, 
##     -0.22, -0.22, 0.16, 0.29, 0.75, 0.95, 1.08, 1.14, 1.17, 1.19, 
##     1.25, 1.22, 1.06, -0.4, -0.48, -0.59, -0.66, -0.87, -0.92, 
##     -0.9, -0.85, -0.56, -0.58, -0.69, -0.48, -0.16, -0.14, -0.14, 
##     -0.13, -0.11, -0.21, -0.26, -0.31, -0.18, -0.26, -0.21, -0.32, 
##     -0.35, -0.32, -0.19, -0.11, -0.03, 0, 0, -0.02, -0.03, 0.06, 
##     0.14, 0.18, 0.9, 1.09, 1.16, 1.16, 1.09, 0.96, 0.95, 0.93, 
##     0.93, 0.98, 0.9, 0.83, 0.69, 0.69, 0.71, 0.64, 0.51, 0.64, 
##     0.48, 0.43, 0.37, 0.39, 0.29, 0.31, 0.26, 0.22, 0.03, -0.19, 
##     -0.27, -0.31, -0.58, -0.67, -0.72, -0.79, -0.92, -0.85, -0.67, 
##     -0.63, -0.61, -0.58, -0.5, -0.4, -0.39, -0.39, -0.35, -0.27, 
##     -0.24, -0.22, -0.05, -0.21, -0.22, -0.22, -0.14, 0, -0.08, 
##     -0.1, -0.13, -0.11, -0.11, -0.21, -0.19, -0.19, -0.18, -0.11, 
##     0, 0.27, 0.35, 0.47, 0.74, 0.9, 1.12, 1.38, 1.4, 1.35, 1.35, 
##     1.33, 1.35, 1.17, 1, 0.74, 0.66, 0.59, 0.5, 0.4, 0.39, 0.47, 
##     0.32, 0.4, 0.43, -0.59, -0.48, -0.42, -0.32, -0.31, -0.26, 
##     -0.18, -0.06, -0.05, -0.08, -0.16, -0.18, -0.21, -0.37, -0.13, 
##     -0.11, -0.03, -0.08, -0.27, -0.32, -0.32, -0.31, 0.03, 0.1, 
##     0.1, 0.11, 0.16, 0.48, 0.51, 0.48, 0.55, 0.47, 0.32, 0.16, 
##     0.06, -0.11, -0.61, -0.98, -1.12, -1.2, -1.2, -1.25, -1.17, 
##     -1.03, -0.75, -0.74, -0.66, -0.55, -0.56, -0.51, -0.45, -0.53, 
##     -0.48, -0.34, -0.34, -0.14, -0.14, -0.11, -0.06, -0.11, -0.13, 
##     -0.13, -0.18, -0.05, -0.02, 0.03, 0.08, 0.11, 0.14, 0.11, 
##     -0.1, -0.13, -0.16, 0.06, 0.02, -0.05, -0.02, 0.02, 0.03, 
##     0.03, 0.03, 0.05, 0.19, 0.18, 0.16, 0.32, 0.32, 0.34, 0.47, 
##     0.53, 0.55, 0.59, 0.72, 0.87, 0.96, 0.9, 0.85, 0.9, 1.04, 
##     1.08, 1.08, 1.04, 1.03, 1.06, 0.88, 0.75, 0.74, 0.66, 0.58, 
##     0.5, 0.48, 0.43, 0.39, 0.35, 0.31, 0.31, 0.16, 0.19, 0.11, 
##     0.05, 0, -0.05, -0.08, -0.02, -0.05, -0.06, -0.06, -0.08, 
##     -0.06, -0.08, -0.05, -0.05, -0.06, -0.05, 0, 0.03, 0.06, 
##     0.1, 0.19, 0.21, 0.18, 0.4, 0.47, 0.83, 1.16, 1.4, 1.46, 
##     1.46, 1.33, 0.77, 0.59, 0.53, 0.39, 0.39, 0.29, 0.31, 0.26, 
##     0.22, -0.29, -0.16, 0, 0.06, 0.11, 0.02, -0.03, -0.06, -0.02, 
##     -0.02, 0.02, 0.13, 0.14, 0.13, 0.1, 0.02, -0.05, -0.18, -0.16, 
##     -0.11, -0.1, -0.08, -0.11, -0.11, -0.1, -0.03, -0.02, 0.14, 
##     0.18, 0.19, 0.19, 0.22, 0.29, 0.35, 0.42, 0.48, 0.56, 0.71, 
##     0.8, 0.96, 1.3, 1.38, 1.41, 1.43, 1.33, 1.2, 1.11, 0.8, 0.74, 
##     0.39, 0.31, 0.26, 0.21, 0.19, 0.19, 0.13, 0.22, 0.13, 0.18, 
##     0.1, 0.03, 0.05, 0.03, -0.02, -0.11, -0.14, -0.21, -0.32, 
##     -0.37, -0.92, -1.04, -0.98, -0.88, -0.74, -0.63, -0.61, -0.56, 
##     -0.32, -0.32, -0.29, -0.21, -0.18, -0.18, -0.16, -0.06, -0.08, 
##     -0.13, -0.1, -0.06, -0.06, -0.03, 0.06, 0.05, 0, -0.08, -0.1, 
##     -0.11, 0.02, 0.06, 0.05, 0.08, 0.05, 0.03, 0.02, 0.02, 0, 
##     0, 0, 0.06, 0.11, 0.16, 0.18, 0.21, 0.27, 0.31, 0.34, 0.42, 
##     0.74, 0.87, 0.96, 1.06, 1.12, 1.33, 1.38, 1.35, 1.2, 1.08, 
##     0.95, 0.9, 0.87, 0.82, 0.48, 0.5, 0.5, 0.47, 0.43, 0.48, 
##     0.48, 0.43, 0.4, 0.4, 0.43, 0.4, 0.42, 0.4, 0.39, 0.37, 0.37, 
##     0.19, 0.11, 0.03, -0.13, -0.32, -0.47, -0.59, -0.75, -0.8, 
##     -0.93, -0.98, -1.08, -1.24, -0.82, -0.79, -0.79, -0.72, -0.69, 
##     -0.69, -0.61, -0.55, -0.51, -0.32, -0.31, -0.21, -0.11, -0.19, 
##     -0.19, 0.03, -0.16, 0.06, 0.11, 0.08, -0.1, -0.05, 0.03, 
##     0.02, -0.05, -0.08, -0.1, -0.1, -0.1, -0.02, 0.22, 0.27, 
##     0.31, 0.32, 0.34, 0.37, 0.42, 0.45, 0.47, 0.5, 0.59, 0.79, 
##     0.85, 0.92, 0.93, 0.93, 0.96, 0.95, 0.92, 0.19, 0.21, 0.16, 
##     0.08, 0.05, -0.13, -0.16, -0.27, -0.39, -0.61, -0.69, -0.72, 
##     -0.87, -0.85, -0.9, -0.74, -0.72, -0.75, -0.77, -0.72, -0.74, 
##     -0.74, -0.69, -0.53, -0.47, -0.02, -0.05, -0.29, -0.32, -0.87, 
##     -0.93, -1.2, -1.16, -1, -0.66, -0.48, -0.34, -0.21, -0.18, 
##     -0.1, -0.02, -0.06, -0.1, 0.14, 0.14, 0.21, 0.27, 0.32, 0.55, 
##     0.55, 0.71, 0.85, 1.01, 1.43, 1.53, 1.57, 1.32, 1.14, 1.04, 
##     1, 0.96, 0.9, 0.77, 0.74, 0.72, 0.67, 0.64, 0.51, 0.53, 0.59, 
##     0.58, 0.48, 0.42, 0.42, 0.5, 0.45, 0.34, 0.21, 0.14, 0.02, 
##     -0.16, -0.4, -0.63, -0.88, -0.95, -1.03, -1, -0.88, -0.87, 
##     -0.71, -0.88, -0.82, 0.9, 0.67, 0.64, 0.59, 0.48, 0.51, 0.53, 
##     0.66, 0.63, 0.59, 0.53, 0.51, 0.29, 0.27, 0.19, 0.08, 0.05, 
##     -0.1, -0.1, -0.08, -0.1, -0.13, -0.31, -0.31, -0.06, -0.06, 
##     -0.1, -0.02, 0.02, 0.06, 0.08, 0, -0.05, -0.08, -0.1, -0.1, 
##     -0.08, -0.03, 0.05, 0.08, 0.02, 0.05, -0.06, 0.16, 0.14, 
##     0.1, 0.14, 0.24, 0.34, 0.43, 0.4, 0.35, 0.39, 0.4, 0.13, 
##     0.11, 0.18, 0.24, 0.19, 0.14, 0.19, 0.14, 0.11, 0.18, 0.26, 
##     0.31, 0.27, 0.26, 0.26, 0.19, 0.18, 0.19, 0.22, 0.14, 0.14, 
##     0.26, 0.24, 0.24, 0.19, 0.18, 0.16, 0.13, 0.19, 0.21, 0.1, 
##     0.06, 0.11, 0.14, 0.16, 0.18, 0.16, 0.16, 0.16, 0.14, 0.11, 
##     0.13, 0.1, 0.06, 0.08, 0.1, 0.05, 0.03, 0.03, 0.02, -0.03, 
##     -0.03, 0.03, 0.08, 0.1, 0.1, 0.14, 0.16, 0.18, 0.18, 0.1, 
##     0.13, 0.11, 0.08, 0.11, 0.14, 0.19, 0.21, 0.13, 0.13, -0.03, 
##     0, 0.03, 0.21, 0.24, 0.29, 0.32, 0.29, 0.22, 0.08, 0.14, 
##     0.19, 0.21, 0.21, 0.16, 0.18, 0.13, 0.13, 0.13, 0.13, 0.11, 
##     0.1, 0.08, 0.06, 0.05, -0.03, -0.03, -0.06, -0.03, -0.11, 
##     0.22, 0.32, 0.61, 0.69, 0.72, 0.61, 0.59, 0.58, 0.55, 0.51, 
##     0.47, 0.51, 0.58, 0.67, 0.88, 1, 1.16, 1.24, 1.33, 1.4, 1.4, 
##     1.4, 1.4, 1.36, 1.38, 1.38, 1.4, 1.36, 1.32, 1.3, 1.08, 0.11, 
##     -0.08, -0.29, -0.34, -0.35, -0.48, -0.71, -0.83, -1.3, -1.24, 
##     -1.19, -1.11, -1, -1.08, -0.96, -0.9, -0.74, -0.56, -0.53, 
##     -0.4, -0.35, -0.29, -0.18, -0.16, -0.13, -0.06, 0.05, 0.02, 
##     0.02, 0.11, 0.11, -0.05, -0.05, 0.05, 0, 0.27, 0.02, 0.06, 
##     0.1, 0.13, 0.14, 0.14, 0.18, 0.26, 0.32, 0.35, 0.43, 0.5, 
##     0.53, 0.53, 0.48, 0.43, 0.63, 0.74, 0.92, 0.9, 0.85, 0.8, 
##     0.85, 0.95, 0.96, 0.96, 0.98, 0.98, 0.96, 0.92, 0.9, 0.85, 
##     0.8, 0.77, 0.74, 0.74, 0.77, 0.8, 0.82, 0.87, 0.9, 0.92, 
##     -0.24, -0.32, -0.24, -0.22, -0.1, 0.14, 0.02, -0.06, -0.18, 
##     -0.08, -0.02, 0, -0.06, -0.1, -0.1, -0.1, -0.06, -0.08, 0.02, 
##     0.11, 0.14, 0.19, 0.16, 0.1, 0.02, 0.64, 0.63, 0.56, 0.55, 
##     0.58, -0.05, -0.13, -0.31, -0.29, -0.34, -0.53, -0.67, -0.56, 
##     -0.47, -0.4, -0.31, -0.32, -0.27, -0.24, -0.24, -0.32, -0.31, 
##     -0.27, -0.31, -0.42, -0.19, -0.18, -0.21, -0.22, -0.02, 0.03, 
##     0.02, 0.14, 0.26, -0.21, -0.16, -0.06, 0.02, -0.05, -0.08, 
##     0.13, 0.22, 0.24, 0.22, 0.24, 0.19, 0.19, 0.18, 0.18, 0.14, 
##     0.13, 0.21, 0.39, 0.64, 0.79, 0.82, 0.98, 1.08, 1.14, 1.11, 
##     0.88, 0.79, 0.74, 0.43, 0.47, 0.4, 0.48, 0.51, 0.51, 0.48, 
##     0.53, 0.51, 0.51, 0.56, 0.56, 0.53, 0.5, 0.34, 0.26, -0.16, 
##     -0.21, -0.26, -0.32, -0.37, -0.4, -0.45, -0.45, -0.43, -0.42, 
##     -0.43, -0.34, -0.27, -0.21, -0.21, -0.22, -0.21, -0.21, -0.24, 
##     -0.22, -0.13, -0.05, -0.02, 0.08, 0, -0.06, -0.13, -0.13, 
##     -0.1, -0.05, 0.02, 0.06, 0.14, 0.08, 0.06, 0.03, 0.05, 0.1, 
##     0.08, 0.1, 0.11, 0.14, 0.14, 0.14, 0.18, 0.22, 0.22, 0.4, 
##     0.48, 0.51, 0.48, 0.4, 0.42, 0.48, 0.53, 0.48, 0.35, 0.32, 
##     0.27, 0.21, 0.19, 0.18, 0.26, 0.4, 0.67, 0.71, 0.72, 0.74, 
##     0.75, 0.75, 0.72, 0.72, 0.71, 0.72, 0.72, 0.75, 0.77, 0.63, 
##     0.59, 0.53, 0.34, 0.24, 0.08, -0.11, -0.14, -0.31, -0.31, 
##     -0.34, -0.39, -0.4, -0.39, -0.39, -0.4, -0.4, -0.37, -0.26, 
##     -0.18, -0.18, -0.16, -0.19, -0.19, -0.21, -0.21, -0.14, -0.11, 
##     -0.05, 0, -0.11, 0.24, 0.26, 0.26, 0.26, 0.31, 0.35, 0.47, 
##     0.48, 0.55, 0.63, 0.66, 0.69, 0.75, 0.83, 0.87, 0.87, 0.8, 
##     0.66, 0.59, 0.5, 0.55, 0.55, 0.66, 0.75, 0.82, 0.59, 0.45, 
##     0.32, 0.21, 0.1, 0.03, -0.03, -0.14, -0.19, -0.29, -0.34, 
##     -0.39, -0.47, -0.93, -0.66, -0.67, -0.69, -0.58, -0.48, -0.48, 
##     -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, 
##     -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, 
##     -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, -0.02, 0.05, 
##     0.11, 0.08, 0.05, 0.08, 0.03, -0.29, -0.27, -0.14, 0.14, 
##     0.13, 0.13, 0.16, 0.16, 0.26, 0.32, 0.35, 0.34, 0.37, 0.39, 
##     0.42, 0.42, 0.42, 0.4, 0.4, 0.43, 0.55, 0.59, 0.64, 0.64, 
##     0.59, 0.61, 0.72, 0.71, 0.82, 0.96, 0.96, 1.08, 1.28, 1.12, 
##     0.72, 0.72, 0.61, 0.53, 0.4, 0.39, 0.35, 0.35, 0.39, 0.4, 
##     0.43, 0.48, 0.48, 0.48, 0.51, 0.58, 0.69, 0.75, 0.85, 0.93, 
##     0.98, 0.93, 0.39, 0.13, -0.05, -0.08, -0.29, -0.53, -0.48, 
##     -0.43, -0.39, -0.32, 0, 0.03, 0.02, -0.08, -0.11, -0.06, 
##     0.02, 0.02, 0.16, 0.14, 0.13, 0.05, 0.03, 0.03, 0.32, 0.4, 
##     0.42, 0.31, 0.21, 0.1, -0.02, -0.1, -0.16, -0.16, -0.06, 
##     -0.02, 0.03, 0.22, 0.26, 0.22, 0.24, 0.35, 0.39, 0.48, 0.58, 
##     0.64, 0.71, 0.79, 0.88, 1.01, 1.09, 1.12, 1.14, 1.14, 1.12, 
##     1.04, 0.92, 0.9, 0.87, 0.8, 0.71, 0.63, 0.53, 0.55, 0.5, 
##     0.53, 0.72, 0.75, 0.61, 0.47, 0.31, 0.22, 0.16, 0.08, 0.06, 
##     0.05, -0.18, -0.22, -0.34, -0.35, -0.43, -0.48, -0.47, -0.45, 
##     -0.39, -0.32, -0.29, -0.22, -0.21, -0.11, -0.05, -0.03, -0.02, 
##     -0.08, -0.11, -0.1, -0.08, 0, 0, 0, -0.02, -0.08, -0.03, 
##     0, -0.05, 0.03, 0.18, 0.16, 0.14, 0.14, 0.11, 0.08, 0.03, 
##     -0.02, -0.05, -0.02, 0, 0, -0.03, -0.02, -0.03, -0.03, 0, 
##     -0.05, -0.03, -0.06, -0.08, -0.13, -0.1, -0.11, -0.05, -0.02, 
##     0.03, 0.13, 0.14, 0.14, -0.02, -0.03, 0, -0.02, -0.06, -0.03, 
##     0.02, 0.03, 0.06, 0.1, 0.08, 0.08, 0.08, 0.08, 0.1, 0.05, 
##     0.05, 0.05, 0.05, 0.03, 0.03, 0.05, 0.05, 0.06, 0.06, 0.08, 
##     0.03, 0.03, 0.05, 0.06, 0.05, 0.06, 0.06, 0.06, 0.06, 0.08, 
##     0.13, 0.06, 0.08, 0.1, 0.08, -0.02, 0.05, 0.03, 0, 0, 0, 
##     0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0, 0.02, 0.03, 0.05, 
##     0.05, 0.06, 0.05, 0.03, 0.03, 0.02, 0.05, -0.03, -0.48, -0.48, 
##     -0.48, -0.48, -0.34, -0.29, -0.27, -0.27, -0.14, -0.02, -0.02, 
##     -0.02, 0.05, 0.05, 0.05, 0.08, 0.08, 0.02, 0.1, 0.11, 0.02, 
##     -0.08, 0.16, 0.34, 0.08, -0.05, -0.1, -0.1, -0.08, -0.05, 
##     -0.02, 0, 0.03, 0.08, 0.1, 0.13, 0.16, 0.1, 0.08, 0.08, 0.11, 
##     0.16, 0.21, 0.21, 0.16, 0.18, 0.1, 0.56, 0.59, 0.69, 0.67, 
##     0.67, 0.72, 0.71, 0.87, 0.92, 0.98, 0.93, 0.93, 0.93, 0.93, 
##     0.88, 0.83, 0.82, 0.77, 0.71, 0.61, 0.39, 0.27, 0.03, -0.08, 
##     -0.19, -0.27, -0.43, -0.48, -0.61, -0.77, -0.77, -0.85, -0.74, 
##     -0.8, -0.77, -0.66, -0.58, -0.56, -0.51, -0.34, -0.1, 0.19, 
##     0.22, 0.24, 0.22, 0.22, 0.24, 0.24, 0.34, 0.42, 0.35, 0.29, 
##     0.26, 0.26, 0.19, 0.08, -0.03, -0.06, -0.06, -0.05, 0.02, 
##     -0.51, -0.43, -0.24, -0.29, -0.43, -0.79, -0.95, -0.66, -0.66, 
##     -0.26, -0.08, 0.27, 0.45, 0.53, 0.58, 0.71, 0.87, 1.16, 1.19, 
##     1.09, -0.43, -0.61, -0.53, -0.58, -0.56, -0.47, -0.51, -0.75, 
##     -0.9, -0.87, -0.92, -0.9, -0.77, -0.61, -0.69, -0.74, -0.45, 
##     -0.43, -0.39, -0.34, -0.35, -0.61, -0.56, -0.51, 0.19, 0.24, 
##     0.32, 0.51, 0.48, 0.19, 0.42, 0.37, 0.39, 0.42, 0.51, 0.47, 
##     0.69, 0.87, 1.32, 1.45, 1.56, 1.73, 1.69, 1.54, 1.48, 1.4, 
##     0.93, 0.77, 0.18, 0.05, -0.13, -0.48, -0.71, -0.71, -0.64, 
##     -0.58, -0.59, -0.77, -0.77, -0.56, -0.71, -0.34, -0.51, -0.79, 
##     -0.77, -0.61, -0.43, -0.29, 0.27, 0.45, 0.61, 0.63, 0.61, 
##     0.72, 0.72, 0.77, 1, 1.19, 1.46, 0.22, 0.22, -0.06, -0.34, 
##     -0.35, -0.34, -0.27, -0.18, -0.03, 0.02, 0, 0.02, 0.06, 0.18, 
##     0.34, 0.34, 0.26, 0.21, 0.19, 0.16, 0.11, 0.1, 0.08, 0.11, 
##     0.14, 0.11, 0.11, 0.13, 0.14, 0.14, -0.58, -0.45, -0.45, 
##     -0.45, -0.45, -0.45, -0.45, -0.45, -0.45, -0.45, -0.45, -0.45, 
##     -0.45, -0.45, -0.45, -0.45, -0.45, -0.45, -0.45, -0.45, -0.45, 
##     -0.45, -0.45, -0.45, -0.45, -0.45, 0.59, 0.53, 0.37, 0.27, 
##     0.18, -0.03, 0, -0.05, -0.13, -0.18, -0.31, -0.42, -0.55, 
##     -0.69, -0.82, -0.85, -0.85, -0.85, -0.8, -0.8, -0.72, -0.69, 
##     -0.71, -0.69, -0.87, -0.93, -0.98, -1, 0.69, 0.82, 1.06, 
##     1.01, 0.9, 0.82, 0.66, 0.53, 0.53, 0.45, 0.29, 0.21, 0.03, 
##     0.02, 0.06, 0.11, 0.13, 0.11, 0.11, 0.02, -0.16, -1.01, -1.01, 
##     -0.98, -1.12, -0.93, -0.95, -1, -0.92, -0.92, -0.95, -1.01, 
##     -1.06, -0.66, -0.75, -0.71, -0.64, -0.47, -0.24, -0.14, -0.19, 
##     -0.26, -0.27, -0.27, -0.32, -0.32, -0.39, -0.43, -0.64, -0.58, 
##     -0.51, -0.19, -0.21, -0.22, -0.26, -0.31, -0.34, -0.48, -0.55, 
##     -0.56, -0.51, -0.42, -0.34, -0.08, 0, 0.21, 0.4, 0.63, -0.8, 
##     -0.77, -0.77, -0.69, -0.77, -0.82, -0.92, -0.9, -0.88, -0.9, 
##     -0.88, -0.85, -0.83, -0.75, -0.75, -0.88, -0.88, -0.8, -0.8, 
##     -0.66, -0.63, 0.53, 0.64, 0.67, 0.74, 0.79, 0.83, 0.85, 0.88, 
##     0.92, 0.9, 0.95, 0.95, 0.96, 0.95, 0.85, 0.8, 0.69, 0.63, 
##     0.5, 0.61, 0.64, 0.55, 0.43, 0.14, 0, -0.43, -0.64, -0.79, 
##     -0.75, 0.06, -0.18, -0.34, -0.95, -0.87, -0.82, -0.69, -0.75, 
##     -1.19, -1.46, -1.38, -1.4, -1.51, -1.35, -1.3, -0.82, -0.72, 
##     -0.64, -0.13, -0.13, -0.16, -0.31, -0.21, -0.19, -0.11, 0.02, 
##     0.11, 0.63, 0.58, 0.58, 0.59, 0.59, 0.53, 0.51, 0.5, 0, 0, 
##     -0.34, -0.45, -0.34, -0.02, 0.06, 0.13, 0.14, 0.14, 0.1, 
##     0.02, 0, 0, -0.02, 0.02, 0, 0, -0.02, -0.02, -0.34, -0.21, 
##     -0.14, -0.05, 0, -0.02, 0, -0.02, 0.03, 0.05, 0.05, 0.08, 
##     0.1, 0.13, 0.18, 0.21, 0.22, 0.21, 0.16, 0.16, 0.16, 0, -0.16, 
##     -0.14, -0.14, 0.24, 0.34, 0.22, 0.27, 0.32, 0.42, 0.63, 0.93, 
##     1.28, 1.46, 1.77, 1.86, 1.89, 1.96, 1.53, 1.36, 1.27, 1.01, 
##     0.85, 0.74, 0.63, 0.74, 1.57, 1.56, 1.49, 1.38, 1.33, 1.35, 
##     1.22, 1.2, 1.16, 0.24, -0.02, -0.27, -0.48, -0.8, -0.98, 
##     -1.16, -1.3, -1.7, -1.86, -1.88, -1.67, -1.46, -1.4, 0.14, 
##     0.29, 0.34, 0.61, 0.64, 0.74, 0.8, 0.95, 1.04, 1.33, 1.38, 
##     1.35, 1.24, 1.14, 1.11, 1.06, 0.93, 0.87, 0.75, 0.67, 0.66, 
##     0.61, 0.64, 0.66, 1.59, 1.53, 1.53, 1.45, 1.4, 1.32, 1.22, 
##     1.22, 1.17, 1.12, 1.09, 1.06, 0.98, 0.88, 0.35, 0.14, -0.21, 
##     -0.63, -0.82, -1.11, -1.33, -1.43, -1.35, -0.56, -0.4, -0.27, 
##     -0.13, -0.1, -0.03, -0.03, -0.06, -0.16, -0.1, -0.02, 0.02, 
##     0.02, -0.05, -0.11, 0.05, 0.14, 0.18, 0.13, 0.06, 0.32, 0.48, 
##     0.64, 1.19, 1.57, 1.65, 1.65, 1.14, 1.22, 1.35, 1.35, 1.36, 
##     1.35, 1.28, 1.04, 0.98, 0.93, 0.96, 1.01, 1.08, 1.08, 1.14, 
##     1, 0.66, 0.19, -0.32, -0.53, -0.71, -0.87, -1.08, -1.46, 
##     -1.78, -1.88, 0.03, -0.02, -0.06, -0.08, -0.06, -0.02, 0.06, 
##     0.21, 0.21, 0.22, 0.27, 0.34, 0.51, 0.63, 1.56, 1.93, 2.01, 
##     2.04, 2.09, 1.99, 2.01, 1.93, 1.81, 1.78, 1.83, 0.26, 0.35, 
##     0.39, 0.66, 0.75, 0.83, 0.96, 1.28, 1.33, 1.2, 1, 1, 1.01, 
##     1.08, 1.09, 1.11, 1.14, 1.14, 1.16, 1.08, 0.96, 0.9, 0.71, 
##     0.63, 0.43, -0.06, -0.93, -1.04, -1.19, -1.17, -1.19, -1.25, 
##     -0.98, -0.93, -0.5, -0.58, -0.85, -0.98, -1.11, -1.27, -1.11, 
##     -1.38, -1.28, -1.09, -0.95, -0.87, -0.77, -0.63, -0.42, -0.31, 
##     -0.26, -0.22, -0.05, 0.11, 0.26, 0.42, 0.37, 0.48, 0.75, 
##     0.77, 0.93, 0.98, 1.14, 1.17, 1.25, 1.36, 1.35, 1.19, 1.04, 
##     0.95, 0.88, 0.64, 0.29, 0.05, -0.16, -0.47, -0.48, -0.5, 
##     -0.58, -0.47, -0.31, -0.27, -0.22, -0.1, 0, -0.21, -0.61, 
##     -0.67, -0.75, -0.83, -0.88, -0.95, -1.28, -1.24, -1.19, -1.08, 
##     -0.9, -0.85, -0.82, -0.75, -0.63, -0.75, -1.01, -1.33, -1.01, 
##     -0.71, -0.71, -0.55, -0.34, -0.19, -0.03, 0.05, 0.08, 0.1, 
##     0.1, 0.06, -0.06, -0.22, -0.24, -0.11, -0.11, -0.11, -0.14, 
##     -0.14, -0.16, -0.16, -0.16, -0.16, -0.11, -0.16, -0.18, -0.26, 
##     -0.22, -0.13, 0.1, 0.08, 0.05, 0, -0.1, -0.19, -0.18, -0.1, 
##     -0.02, -0.08, -0.1, -0.11, -0.14, -0.22, -0.26, -0.29, -0.26, 
##     -0.21, -0.14, -0.08, 0, -0.05, -0.08, -0.03, -0.27, -0.37, 
##     -0.35, -0.29, -0.26, -0.19, -0.11, 0.03, 0.05, 0.06, 0.05, 
##     0.05, -0.1, -0.14, -0.21, -0.26, -0.21, -0.14, -0.08, -0.14, 
##     -0.22, -0.24, -0.19, -0.08, -0.03, 0, 0.19, 0.14, 0.05, 0.02, 
##     0.06, 0.02, -0.13, -0.08, 0, 0.16, 0.16, 0.05, -0.06, -0.18, 
##     -0.24, -0.19, -0.14, -0.05, -0.03, -0.02, -0.21, -0.29, -0.13, 
##     -0.11, -0.11, -0.1, -0.06, -0.05, -0.08, -0.11, -0.21, -0.24, 
##     -0.29, -0.31, -0.22, -0.16, -0.11, -0.14, -0.1, -0.11, -0.16, 
##     -0.21, -0.27, -0.31, -0.24, -0.27, -0.29, -0.26, -0.14, -0.13, 
##     -0.1, -0.06, -0.08, -0.05, -0.06, -0.06, -0.06, -0.06, -0.08, 
##     0.05, 0.05, 0.03, 0.03, -0.02, -0.13, -0.11, -0.13, 0.05, 
##     0.1, 0.16, -0.21, -0.32, -0.32, -0.29, -0.06, -0.05, -0.05, 
##     0, 0, 0, -0.03, -0.08, -0.14, -0.21, -0.31, -0.19, -0.16, 
##     -0.13, -0.14, -0.11, -0.08, -0.06, -0.06, -0.1, -0.08, -0.18, 
##     -0.19, -0.05, -0.02, -0.02, -0.03, -0.16, -0.14, -0.14, -0.14, 
##     -0.13, -0.05, -0.03, -0.05, -0.02, 0.02, 0, 0.03, 0.02, 0.02, 
##     0.02, -0.05, -0.11, -0.14, 0.08, 0.14, 0.21, 0.24, 0.02, 
##     -0.27, -0.19, -0.06, -0.13, -0.24, -0.22, -0.21, -0.06, -0.08, 
##     -0.06, -0.16, -0.16, -0.16, -0.18, -0.16, -0.13, -0.16, -0.24, 
##     -0.18, 0.05, 0.1, 0, -0.27, -0.27, -0.27, -0.03, -0.03, 0.03, 
##     0.08, 0.05, -0.08, -0.1, -0.05, -0.21, -0.13, -0.14, -0.05, 
##     0, -0.05, -0.06, -0.06, -0.14, -0.14, -0.18, -0.13, -0.06, 
##     -0.05, -0.13, -0.14, -0.19, -0.19, -0.14, -0.05, -0.05, -0.03, 
##     -0.03, 0, 0.06, -0.02, -0.08, -0.14, -0.22, -0.22, -0.22, 
##     -0.27, -0.18, -0.06, -0.03, -0.02, -0.02, -0.03, -0.08, -0.19, 
##     -0.19, -0.45, -0.45, -0.48, -0.48, -0.48, -0.48, -0.48, -0.48, 
##     -0.47, -0.47, -0.47, -0.47, -0.45, -0.35, -0.32, -0.29, -0.21, 
##     -0.21, -0.21, -0.21, -0.21, -0.21, -0.21, -0.21, -0.21, -0.21, 
##     -0.21, -0.29, -0.24, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, 0.06, 0, -0.14, -0.18, 
##     -0.27, -0.34, -0.42, -0.39, -0.37, -0.31, -0.34, -0.45, -0.45, 
##     -0.37, -0.39, -0.39, -0.39, -0.39, -0.39, -0.39, -0.39, -0.39, 
##     -0.39, -0.39, -0.39, -0.39, -0.35, -0.31, -0.27, -0.24, -0.16, 
##     -0.13, -0.08, -0.39, -0.4, -0.45, -0.4, -0.39, -0.37, -0.34, 
##     -0.34, -0.34, -0.34, -0.34, -0.31, -0.26, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, 2.73, 0.21, 0.27, 0.29, 0.29, 0.29, 0.29, 0.4, 
##     0.37, 0.29, -0.1, -0.14, -0.1, 0.03, -0.02, -0.03, 0, 0.03, 
##     0.05, 0.08, 0.08, 0.05, 0.03, 0.05, 0.05, 0.05, 0.06, 0.08, 
##     0.1, 0.08, 0.05, -0.03, -0.03, -0.02, 0.06, 0.1, 0.14, 0.21, 
##     0.21, 0.21, 0.22, 0.24, 0.39, 0.39, 0.45, 0.42, 0.4, 0.39, 
##     0.42, 0.35, 0.13, -0.02, -0.08, -0.13, -0.27, -0.29, -0.27, 
##     -0.32, -0.31, -0.31, -0.34, -0.32, -0.27, -0.22, -0.19, -0.16, 
##     -0.13, -0.05, 0, 0.03, 0.03, 0.02, 0.02, 0.03, 0.06, 0.08, 
##     0.02, 0.02, 0.02, 0, 0, 0.19, 0.24, 0.26, 0.24, 0.19, 0.35, 
##     0.34, 0.31, 0.26, 0.26, 0.32, 0.37, 0.37, 0.37, 0.19, -0.18, 
##     -0.19, -0.21, -0.22, -0.24, -0.26, -0.27, -0.26, -0.22, -0.14, 
##     -0.13, -0.08, -0.08, -0.06, -0.05, -0.02, 0, 0.02, -0.02, 
##     0.03, 0.06, 0.1, 0.1, 0.1, 0.03, 0.05, 0.03, 0.02, 0.03, 
##     0.05, 0.11, 0.13, 0.1, 0.1, 0.11, 0.14, 0.14, 0.18, 0.19, 
##     0.27, 0.31, 0.32, 0.35, 0.39, 0.35, 0.27, 0.24, 0.35, 0.32, 
##     0.08, -0.08, -0.13, -0.16, -0.19, -0.24, -0.19, -0.21, -0.14, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.03, 0, 0.02, 0, -0.03, -0.03, -0.02, 0.31, 0.29, 0.26, 
##     0.24, 0.24, 0.24, 0.24, 0.24, 0.24, 0.24, 0.24, 0.24, 0.24, 
##     0.24, 0.24, 0.24, 0.29, 0.29, 0.26, 0.26, 0.26, 0.26, 0.26, 
##     0.26, 0.26, 0.26, 0.26, 0.26, 0.24, 0.21, 0.19, 0.19, 0.31, 
##     0.31, 0.27, 0.21, 0.21, 0.21, 0.11, 0.06, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.02, 0, 0.02, 0.02, 0.02, 0.02, 
##     0, 0.03, 0.03, 0.02, 0, 0.02, 0.02, -0.05, -0.05, -0.11, 
##     -0.18, -0.22, -0.22, -0.24, -0.21, -0.16, -0.18, -0.21, -0.24, 
##     -0.26, -0.29, -0.16, -0.14, -0.1, -0.05, -0.08, -0.13, -0.14, 
##     -0.18, -0.19, -0.16, -0.06, 0.05, 0.08, 0.1, 0.08, 0.03, 
##     0.06, 0.14, 0.19, 0.22, 0.22, 0.27, 0.35, 0.42, 0.43, 0.35, 
##     0.34, 0.35, 0.32, 0.35, 0.29, 0.27, 0.22, 0.22, 0.27, 0.26, 
##     0.21, 0.18, -0.11, -0.13, -0.08, -0.08, -0.14, -0.24, -0.24, 
##     -0.24, -0.18, -0.14, -0.08, -0.1, -0.13, -0.21, -0.34, -0.4, 
##     -0.22, -0.03, -0.03, -0.03, -0.06, -0.1, -0.16, -0.11, -0.06, 
##     0.02, 0.11, 0.08, 0.06, 0.1, 0.16, 0.24, 0.19, 0.19, 0.24, 
##     0.31, 0.27, 0.14, 0.16, 0.13, 0.06, 0.08, 0.1, 0.19, 0.08, 
##     0.08, -0.02, -0.1, -0.13, -0.11, 0, 0.03, 0.08, 0.11, 0.29, 
##     0.27, 0.16, 0.08, 0.13, 0.13, 0.21, 0.24, 0.26, 0.37, 0.4, 
##     -0.03, -0.03, -0.05, -0.08, -0.1, -0.16, -0.13, -0.13, -0.11, 
##     -0.13, -0.18, -0.22, -0.26, -0.29, -0.27, -0.24, -0.29, -0.21, 
##     -0.18, -0.16, -0.08, 0.08, 0.08, 0.06, 0.03, -0.03, -0.05, 
##     -0.06, -0.06, -0.03, 0, -0.02, -0.05, -0.03, 0.02, 0.13, 
##     0.13, 0.1, 0.1, 0.27, 0.22, 0.14, 0.21, 0.18, 0.1, 0.08, 
##     0.13, 0.19, 0.19, 0.26, 0.32, 0.06, 0.03, -0.02, -0.02, -0.02, 
##     0.05, -0.16, -0.19, -0.18, -0.18, -0.16, -0.16, -0.05, -0.02, 
##     0.02, -0.02, -0.02, 0, 0.02, 0.05, 0.05, 0.06, 0.05, 0, -0.08, 
##     0.03, 0.1, 0.11, 0.16, 0.14, 0.16, 0.18, 0.32, -0.02, -0.02, 
##     -0.05, -0.06, -0.14, -0.13, -0.08, -0.11, -0.14, -0.27, -0.29, 
##     -0.31, 0.06, 0.11, 0.16, 0.16, 0.03, -0.11, -0.18, -0.16, 
##     0.03, 0.06, 0.06, 0.05, 0.02, -0.02, -0.06, -0.11, -0.05, 
##     0, 0.22, 0.22, 0.35, 0.32, 0.29, 0.29, 0.11, -0.02, -0.03, 
##     -0.06, 0.03, 0.08, 0.05, 0.06, 0.08, 0.1, 0.19, 0.16, 0.03, 
##     -0.21, -0.03, -0.03, -0.06, -0.26, -0.31, 0, 0.02, 0, -0.05, 
##     -0.05, 0.03, 0.06, 0.13, 0, -0.08, -0.16, -0.16, -0.14, -0.11, 
##     -0.11, 0.03, 0.06, 0.16, 0.13, 0.14, 0.19, 0.18, 0.1, 0.1, 
##     0.14, 0.18, 0.16, 0.11, 0.14, 0, -0.13, -0.19, -0.14, -0.08, 
##     -0.03, -0.08, -0.11, -0.1, -0.08, -0.08, -0.16, -0.21, -0.19, 
##     -0.13, -0.06, -0.03, 0.02, 0.03, 0.05, -0.02, 0.02, 0, 0.02, 
##     0.02, 0.02, 0, 0, -0.02, -0.06, -0.11, -0.06, -0.03, 0.06, 
##     -0.14, -0.08, -0.02, 0, -0.05, -0.06, 0.05, 0.11, 0.11, 0.11, 
##     0.1, 0.08, 0.03, -0.05, -0.1, -0.13, 0, 0.18, 0.06, 0.18, 
##     0.19, 0.18, 0.14, 0.14, 0.11, 0.05, 0.02, -0.02, 0, -0.03, 
##     -0.06, -0.16, -0.14, -0.13, -0.13, -0.11, -0.16, -0.19, -0.18, 
##     -0.02, 0.08, 0.14, 0.19, 0.19, 0.22, 0.21, 0.14, 0.11, 0.03, 
##     0.08, 0.05, 0.06, 0.1, 0.03, -0.05, -0.14, -0.19, -0.22, 
##     -0.14, -0.06, 0.06, 0.1, 0.11, 0.14, 0.22, 0.22, 0.22, 0.1, 
##     0.06, 0.16, 0.1, 0.03, -0.02, 0.02, 0.05, -0.11, -0.1, 0.02, 
##     -0.03, -0.11, -0.16, -0.16, -0.14, -0.08, -0.05, -0.03, -0.03, 
##     -0.02, 0.03, 0.05, 0.05, 0.03, 0, 0, 0.02, 0, -0.02, -0.02, 
##     0, 0, -0.03, -0.03, -0.03, -0.02, 0, -0.02, -0.14, -0.22, 
##     -0.22, 0.59, 0.5, 0.32, 0.11, -0.06, 0.02, 0.11, -0.16, -0.29, 
##     -0.37, -0.53, -0.58, -0.37, -0.19, -0.37, -0.82, -0.51, -0.71, 
##     -0.77, -0.63, -0.51, -0.48, -0.48, -0.45, -0.39, -0.35, -0.35, 
##     -0.32, -0.35, -0.34, -0.19, -0.16, -0.08, 0.06, 0.11, 0.26, 
##     0.16, 0.1, 0.18, 0.24, 0.22, 0.22, 0.18, 0.14, 0.16, 0.1, 
##     0.13, 0.13, 0.1, 0.11, 0.13, 0.14, 0.13, 0.1, 0.1, 0.13, 
##     0.18, 0.18, 0.18, 0.16, 0.14, 0.14, 0.16, 0.16, 0.13, 0.11, 
##     0.11, 0.11, 0.13, 0.11, 0.13, 0.11, 0.11, 0.11, 0.14, 0.1, 
##     0.13, 0.14, 0.13, 0.14, 0.14, 0.16, 0.13, 0.14, 0.14, 0.14, 
##     0.14, 0.13, 0.13, 0.11, 0.03, 0.16, 0.22, 0.22, 0.22, 0.14, 
##     0.26, 0.31, 0.32, 0.29, 0.31, 0.26, 0.19, 0.1, 0.24, 0.19, 
##     0.08, 0.05, 0, 0.02, 0.05, 0.1, 0.27, 0.21, 0.08, 0.05, 0.05, 
##     0.08, 0.11, 0.08, 0, -0.02, 0, 0.03, -0.02, 0.21, 0.26, 0.22, 
##     0.21, 0.16, 0.11, 0.1, 0.06, 0.02, 0.03, 0.03, 0.11, 0.19, 
##     0.16, 0.13, 0.11, 0.08, 0.06, 0.05, 0.06, -0.08, -0.11, -0.06, 
##     0.03, 0.05, 0.11, 0.03, -0.03, -0.02, 0.06, 0.11, 0.13, 0.14, 
##     0.21, 0.27, 0.24, 0.21, 0.18, 0.19, 0.18, 0.39, 0.4, 0.4, 
##     0.35, 0.34, 0.4, 0.29, 0.19, 0.08, 0.14, 0.13, 0.11, 0.05, 
##     0.03, 0, -0.06, -0.05, 0.06, 0.05, -0.02, 0.11, 0.16, 0.16, 
##     0, -0.03, -0.02, 0.02, 0.03, 0.14, 0.21, 0.24, 0.24, 0.19, 
##     0.13, 0.13, 0.21, 0.24, 0.26, 0.27, 0.34, 0.4, 0.43, 0.47, 
##     0.48, 0.47, 0.26, 0.24, 0.14, 0.13, 0.1, 0.08, 0.11, 0.16, 
##     0.18, 0.16, 0.05, 0.02, -0.05, -0.14, -0.16, -0.03, 0.02, 
##     -0.02, 0.24, 0.16, 0.06, -0.13, 0.05, 0.22, 0.27, 0.24, 0.18, 
##     0.14, 0.16, 0.21, 0.21, 0.21, 0.24, 0.31, 0.34, 0.48, 0.53, 
##     0.53, 0.53, 0.53, 0.51, 0.5, 0.45, 0.24, 0.16, 0.08, 0.02, 
##     0.11, 0.11, 0.14, -0.05, -0.03, -0.22, -0.34, -0.22, 0.02, 
##     0.08, 0.14, 0.03, -0.05, 0.22, 0.27, 0.21, 0.19, 0.26, 0.26, 
##     0.5, 0.45, 0.43, 0.4, 0.37, 0.39, 0.4, 0.4, 0.08, 0.03, 0.02, 
##     0, 0.02, -0.02, 0, -0.05, -0.11, -0.1, -0.21, -0.24, -0.11, 
##     -0.02, -0.16, -0.08, -0.14, -0.13, -0.02, 0.13, 0.21, 0.26, 
##     0.29, 0.27, 0.24, 0.22, 0.24, 0.22, 0.24, 0.24, 0.24, 0.37, 
##     0.43, 0.43, 0.37, 0.43, 0.39, 0.35, 0.22, 0.05, 0.02, 0.02, 
##     -0.02, -0.06, -0.08, -0.06, -0.06, -0.03, 0.02, 0.02, -0.1, 
##     0, -0.08, 0.19, 0.13, 0.13, 0.02, -0.05, 0.22, 0.34, 0.27, 
##     0.06, 0.06, 0.22, 0.27, 0.39, 0.42, 0.48, 0.5, 0.5, 0.56, 
##     0.74, 0.71, -0.03, -0.02, -0.13, -0.18, -0.18, -0.26, -0.31, 
##     -0.31, -0.26, -0.21, -0.16, -0.24, -0.16, 0.08, 0.14, 0.24, 
##     0.22, 0.14, 0.13, -0.05, -0.13, 0.02, 0.21, 0.19, 0.22, 0.19, 
##     0.13, 0.26, 0.35, 0.4, 0.51, 0.48, 0.42, 0.48, 0.55, 0.47, 
##     0.45, 0.35, 0.29, 0.22, 0.03, 0.08, 0.1, 0.13, 0.06, -0.03, 
##     -0.1, -0.02, -0.03, -0.08, -0.1, -0.1, 0.13, 0.05, 0.02, 
##     -0.06, 0.1, 0.14, 0.14, 0.18, 0.19, 0.19, 0.16, 0.1, 0.19, 
##     0.35, 0.34, 0.34, 0.58, 0.51, 0.42, 0.37, 0.31, 0.27, 0.16, 
##     0.21, 0.16, 0.08, 0.06, 0.06, 0, 0.06, 0.06, 0.05, 0.05, 
##     -0.11, 0, 0.14, 0.11, 0, 0.11, 0.13, -0.06, -0.1, -0.02, 
##     0.18, -0.05, 0, 0, 0.05, 0.16, 0.19, 0.27, 0.27, 0.24, 0.21, 
##     0.19, 0.16, 0.13, 0.13, 0.14, 0.11, 0.1, 0.1, 0.11, 0.11, 
##     0.11, 0.16, 0.16, 0.16, 0.16, 0.16, 0.18, 0.18, 0.16, 0.18, 
##     0.18, 0.16, 0.14, 0.14, 0.13, 0.11, 0.14, 0.16, 0.14, 0.14, 
##     0.13, 0.13, 0.11, 0.1, 0.1, 0.1, 0.05, 0.03, 0.1, 0.21, 0.26, 
##     0.27, 0.39, 0.5, 0.61, 1.53, 1.51, 1.33, 1.14, 0.82, 0.67, 
##     0.61, 0.63, 0.45, 0.21, -0.08, -0.34, -0.69, -0.96, -0.39, 
##     -0.26, -0.03, 0, 0.77, 0.72, 0.66, 0.53, 0.48, 0.43, 0.34, 
##     0.14, -0.08, -0.51, -0.66, -0.74, -0.8, -0.85, -0.9, -0.9, 
##     -0.87, -0.82, -0.83, -0.67, -0.59, -0.59, -0.21, -0.39, -0.35, 
##     -0.19, -0.11, -0.22, -0.05, 0.1, 0.08, 0, -0.18, -0.35, 0.13, 
##     0.13, 0.14, 0.14, 0.14, 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.14, 0.13, 0.14, 0.14, 0.14, 0.16, 0.18, 0.16, 0.14, 0.16, 
##     0.13, 0.14, 0.14, 0.14, 0.14, 0.11, 0.11, 0.13, 0.13, 0.11, 
##     0.77, 0.64, 0.42, 0.34, 0.35, 0.39, 0.42, 0.35, 0.34, 0.35, 
##     0.29, 0.26, 0.24, 0.21, 0.22, 0.13, 0.1, 0.06, -0.13, -0.29, 
##     -0.42, -0.63, -0.72, -0.95, -1.08, -0.8, -0.69, -0.48, -0.26, 
##     -0.26, -0.21, 0.56, 0.53, 0.48, 0.43, 0.39, 0.37, 0.37, 0.42, 
##     0.35, 0.34, 0.27, 0.06, -0.06, -0.14, -0.21, -0.5, -0.61, 
##     -0.64, -0.82, -1.14, -1.19, -1.24, 0.13, 0.1, 0.13, 0.1, 
##     0.08, 0.06, 0.02, 0.05, 0.19, 0.19, 0.19, 0.19, 0.18, 0.1, 
##     0.11, 0.13, 0.16, 0.16, 0.13, 0.13, 0.13, 0.1, 0.08, 0.03, 
##     -0.03, 0, 0.03, 0.03, 0.14, 0.11, 0.1, 0.08, 0.13, 0.13, 
##     0.14, 0.14, 0.53, 0.08, 0.02, -0.02, -0.08, -0.13, -0.11, 
##     -0.13, -0.13, -0.16, -0.19, -0.18, -0.21, -0.16, -0.08, -0.02, 
##     -0.03, -0.16, -0.02, 0.02, -0.02, -0.02, 0.02, 0.05, 0.08, 
##     0.13, 0.14, 0.16, 0.06, 0.06, 0.08, 0.08, 0.1, 0.11, 0.13, 
##     0.06, 0.1, 0.06, 0.06, 0.05, 0.03, 0.03, 0.1, 0.11, 0.05, 
##     0.13, 0.06, 0, 0.05, 0.05, 0.03, 0.02, -0.05, -0.06, 0.13, 
##     0.13, 0.18, 0.11, 0.1, 0.06, 0.05, 0.03, -0.03, 0, 0.03, 
##     0.05, 0.06, 0.08, 0.1, 0.13, 0.11, 0.16, 0.13, 0.14, 0.14, 
##     0.14, 0.1, 0, -0.02, 0.02, -0.06, 0.08, 0.06, 0.13, 0.22, 
##     0.11, 0.18, 0.21, 0.03, 0.02, 0.05, 0.1, 0.08, 0.05, 0.06, 
##     0.03, 0.02, 0.02, 0, -0.02, 0.03, 0.06, 0.06, 0.02, 0.02, 
##     0.11, 0.06, 0.1, 0.14, 0.14, 0.21, 0.32, 0.26, 0.27, 0.13, 
##     0.1, 0.13, 0.16, 0.16, 0.13, 0.13, 0.13, 0.1, 0.1, 0.06, 
##     0, 0.06, 0.08, 0.08, 0.08, 0.05, 0.02, 0.03, 0.02, 0.06, 
##     0, -0.02, -0.08, -0.11, -0.1, -0.11, -0.13, -0.08, -0.06, 
##     -0.05, -0.08, -0.08, -0.02, -0.08, -0.03, 0.05, 0.03, 0.03, 
##     0.06, 0.05, 0, 0.08, 0.32, 0.06, 0.11, 0.1, 0.18, 0.1, 0.08, 
##     0, 0.02, 0.02, 0.02, 0.22, 0.16, -0.06, 0.02, -0.03, -0.08, 
##     0.03, 0.05, 0.05, 0.05, 0.02, 0, 0.03, 0.06, 0.03, 0.02, 
##     0.02, -0.02, 0.05, 0.02, -0.02, -0.02, -0.02, -0.02, 0, -0.03, 
##     -0.05, -0.03, -0.02, -0.08, -0.11, -0.11, -0.06, -0.03, -0.02, 
##     0.03, 0.1, 0.1, 0.16, 0.14, 0.1, 0.13, 0.13, 0, -0.02, 0.05, 
##     0.06, 0.08, 0.05, -0.02, -0.08, -0.05, 0.03, 0.1, 0.14, 0.05, 
##     0.02, -0.02, -0.05, -0.06, -0.02, 0.16, 0.34, 0.32, 0.27, 
##     0.22, 0.22, 0.1, 0.1, 0.11, 0.13, 0.13, 0.14, 0.14, 0.16, 
##     0.16, 0.11, 0.08, 0.1, 0.11, 0.08, 0.08, 0.03, 0, 0.02, 0, 
##     -0.03, -0.05, -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, -0.03, 
##     0.02, 0.02, 0.02, 0, 0.02, 0.02, -0.03, -0.1, 0.08, 0.14, 
##     0.14, 0.1, 0.03, 0.05, 0.02, 0.03, 0.06, 0.06, 0.05, 0.03, 
##     0.05, 0.05, 0.02, -0.02, -0.08, -0.05, 0, 0.05, 0.03, 0.08, 
##     0.13, 0.1, 0.29, 0.4, 0.51, 0.55, 0.43, 0.39, 0.32, 0.24, 
##     0.21, 0.19, 0.16, 0.13, 0.1, 0, 0, 0.03, 0.03, 0.02, 0, 0, 
##     0.03, 0.03, 0, 0, 0.05, 0.06, 0.05, 0.03, -0.02, -0.03, -0.03, 
##     -0.19, -0.14, -0.13, -0.1, -0.08, -0.05, -0.05, -0.14, -0.27, 
##     -0.18, -0.08, -0.06, -0.03, 0, 0.13, 0.14, 0.21, 0.21, 0.16, 
##     0.13, 0.21, 0.18, 0.18, 0.18, 0.16, 0.14, 0.14, 0.13, 0.08, 
##     0.08, 0.14, 0.05, 0.06, 0.05, 0.02, 0, 0, 0.03, 0.05, 0.03, 
##     0.03, 0.06, 0.1, 0.03, 0.05, 0, -0.03, -0.05, 0, 0, -0.02, 
##     -0.05, -0.02, 0.05, 0.03, 0.06, 0.1, 0.05, -0.03, 0.02, -0.02, 
##     0.05, 0.02, 0.16, 0.22, 0.18, -0.11, -0.34, -0.02, 0.16, 
##     0.1, 0.1, 0.08, 0.06, -0.03, -0.1, -0.02, 0.06, 0.16, 0.19, 
##     0.21, 0.21, 0.19, 0.21, 0.21, 0.18, 0.21, 0.18, 0.14, 0.16, 
##     0.14, 0.1, 0.11, 0.06, 0.03, 0.08, 0.08, 0.05, 0.05, 0.05, 
##     0.03, 0.05, 0.03, 0.05, 0.06, 0.06, 0.05, 0.02, -0.03, -0.05, 
##     0.02, 0.06, -0.02, 0.02, -0.02, 0.02, 0.03, 0.06, 0.06, 0.11, 
##     -0.05, 0.05, 0.11, 0.27, 0.1, -0.05, -0.03, 0.06, 0.13, 0.13, 
##     0.06, 0.05, 0.06, 0.05, 0.05, -0.02, 0.02, 0.06, 0.08, 0.08, 
##     0.1, 0.08, 0.03, 0.02, 0.05, 0.11, 0.26, 0.29, 0.29, 0.29, 
##     0.22, 0.18, 0.13, 0.1, 0.11, 0.1, 0.05, 0.08, 0.19, 0.24, 
##     0.18, 0.1, 0.02, -0.1, -0.11, 0, -0.03, -0.05, 0.03, 0.05, 
##     0.06, 0, 0, 0.02, 0.05, -0.08, -0.03, 0.03, 0.05, -0.14, 
##     -0.11, -0.06, 0.13, 0.18, 0.16, 0.11, -0.03, 0.06, 0.06, 
##     0.03, 0.05, 0.1, 0.11, 0.13, 0.13, 0.14, 0.11, 0.05, -0.02, 
##     0, 0.1, 0.11, 0.1, 0.1, 0.08, 0.11, 0.1, 0.08, 0.08, 0.05, 
##     0.03, 0.1, 0.08, 0.06, 0.06, 0.05, -0.02, -0.02, 0.1, 0.1, 
##     0.18, 0.14, 0.14, 0.14, 0.14, 0, 0.06, 0.05, -0.03, 0.08, 
##     0.11, 0.13, 0.18, 0.14, 0.18, 0.19, 0.22, 0.16, 0.14, 0.11, 
##     0.06, 0.08, 0.19, 0.06, 0.13, 0.22, 0.24, 0.16, 0.13, 0.06, 
##     0.06, 0, 0.05, 0.05, 0.02, -0.02, 0, 0.02, -0.02, 0, 0.03, 
##     0.05, 0.03, 0.02, 0.02, 0.03, 0.02, 0.05, 0.05, 0, 0.03, 
##     -1.54, -1.43, -1.11, -0.95, -0.83, -0.75, -0.59, -0.51, -0.55, 
##     -0.45, -0.45, -0.4, -0.35, -0.31, -0.27, -0.08, -0.05, 0, 
##     0.1, 0.13, 0.31, 0.24, 0.29, -0.08, -0.06, -0.05, -0.05, 
##     -0.06, -0.03, 0, -0.02, 0.02, 0.11, 0.16, 0.34, 0.42, 0.87, 
##     1.2, 1.45, 1.43, 1.38, 1.32, 1.19, 0.82, 0.75, -0.18, -0.16, 
##     -0.11, 0, 0.02, 0.05, 0.02, -0.03, -0.05, -0.02, 0, 0.03, 
##     0.05, 0.05, 0.03, 0.06, 0.03, 0.02, -0.05, -0.19, -0.13, 
##     0.22, 0.29, 0.19, 0.11, 0.08, 0.11, 0.18, 0.14, 0.08, 0.13, 
##     0.27, 0.29, 0.24, 0.24, 0.27, 0.26, 0.34, 0.34, 0.34, 0.35, 
##     0.31, 0.26, 0.31, 0.22, 0.24, 0.31, 0.34, 0.35, 0.27, 0.29, 
##     0.32, 0.32, 0.27, 0.26, 0.27, 0.26, 0.26, 0.26, 0.31, 0.31, 
##     0.32, 0.24, 0.31, 0.35, 0.42, 0.31, 0.31, 0.31, 0.31, 0.27, 
##     0.27, 0.27, 0.32, 0.31, 0.31, 0.29, 0.32, 0.31, 0.31, 0.32, 
##     0.37, 0.4, 0.39, 0.29, 0.32, 0.39, 0.4, 0.39, 0.39, 0.39, 
##     0.35, 0.34, 0.32, 0.31, 0.29, 0.27, 0.24, 0.19, 0.21, 0.31, 
##     0.32, 0.32, 0.32, 0.31, 0.27, 0.24, 0.26, 0.29, 0.34, 0.31, 
##     0.26, 0.27, 0.37, 0.39, 0.37, 0.27, 0.24, 0.24, 0.24, 0.21, 
##     0.29, 0.27, 0.27, 0.32, 0.29, 0.31, 0.24, 0.16, 0.14, 0.19, 
##     0.34, 0.43, 0.19, 0.18, 0.19, 0.18, 0.14, 0.18, 0.22, 0.27, 
##     0.31, 0.31, 0.29, 0.31, 0.29, 0.27, 0.24, 0.22, 0.42, 0.43, 
##     0.45, 0.45, 0.45, 0.21, 0.18, 0.21, 0.27, 0.27, 0.27, 0.29, 
##     0.29, 0.29, 0.22, 0.26, 0.26, 0.31, 0.37, 0.39, 0.34, 0.31, 
##     0.27, 0.26, 0.24, 0.29, 0.27, 0.29, 0.31, 0.31, 0.29, 0.31, 
##     0.31, 0.24, 0.24, 0.27, 0.27, 0.26, 0.27, 0.27, 0.27, 0.31, 
##     0.29, 0.22, 0.16, 0.18, 0.27, 0.34, 0.31, 0.22, 0.22, 0.22, 
##     0.18, 0.24, 0.26, 0.26, 0.29, 0.31, 0.31, 0.35, 0.29, 0.32, 
##     0.32, 0.32, 0.32, 0.26, 0.24, 0.22, 0.22, 0.21, 0.19, 0.22, 
##     0.24, 0.26, 0.24, 0.24, 0.27, 0.31, 0.29, 0.31, 0.21, 0.21, 
##     0.24, 0.34, 0.4, 0.4, 0.37, 0.37, 0.37, 0.37, 0.39, 0.4, 
##     0.4, 0.37, 0.29, 0.24, 0.21, 0.21, 0.22, 0.22, 0.21, 0.19, 
##     0.22, 0.26, 0.22, 0.24, 0.26, 0.26, 0.26, 0.19, 0.19, 0.24, 
##     0.35, 0.31, 0.24, 0.21, 0.19, 0.29, 0.31, 0.32, 0.32, 0.31, 
##     0.29, 0.31, 0.19, 0.19, 0.16, 0.27, 0.29, 0.24, 0.29, 0.37, 
##     0.29, 0.22, 0.22, 0.37, 0.35, 0.26, 0.16, 0.26, 0.26, 0.19, 
##     0.21, 0.31, 0.32, 0.29, 0.31, 0.32, 0.34, 0.37, 0.4, 0.32, 
##     0.34, 0.43, 0.37, 0.32, 0.29, 0.26, 0.21, 0.21, 0.24, 0.26, 
##     0.29, 0.34, 0.35, 0.34, 0.31, 0.29, 0.31, 0.29, 0.27, 0.26, 
##     0.24, 0.27, 0.29, 0.29, 0.27, 0.27, 0.26, 0.26, 0.26, 0.27, 
##     0.29, 0.24, 0.26, 0.32, 0.32, 0.34, 0.29, 0.24, 0.22, 0.19, 
##     0.21, 0.21, 0.34, 0.26, 0.21, 0.24, 0.29, 0.35, 0.34, 0.34, 
##     0.32, 0.31, 0.24, 0.22, 0.19, 0.27, 0.27, 0.27, 0.29, 0.32, 
##     0.35, 0.42, 0.51, 0.53, 0.29, 0.32, 0.39, 0.39, 0.22, 0.22, 
##     0.27, 0.29, 0.31, 0.31, 0.31, 0.27, 0.24, 0.21, 0.21, 0.18, 
##     0.19, 0.21, 0.22, 0.26, 0.27, 0.22, 0.35, 0.39, 0.39, 0.39, 
##     0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 
##     0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 
##     0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 
##     0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 
##     0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 
##     0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 
##     0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 
##     0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.32, 0.22, 0.19, 0.24, 
##     0.26, 0.27, 0.26, 0.29, 0.31, 0.29, 0.29, 0.31, 0.29, 0.27, 
##     0.22, 0.22, 0.24, 0.27, 0.27, 0.27, 0.26, 0.22, 0.22, 0.22, 
##     0.26, 0.27, 0.32, 0.32, 0.37, 0.32, 0.16, 0.11, 0.16, 0.21, 
##     0.29, 0.24, 0.31, 0.35, 0.35, 0.31, 0.29, 0.32, 0.24, 0.21, 
##     0.22, 0.24, 0.26, 0.26, 0.31, 0.34, 0.32, 0.32, 0.37, 0.4, 
##     0.4, 0.4, 0.31, 0.29, 0.29, 0.27, 0.31, 0.31, 0.34, 0.42, 
##     0.39, 0.35, 0.34, 0.32, 0.32, 0.27, 0.21, 0.19, 0.21, 0.19, 
##     0.29, 0.34, 0.34, 0.34, 0.34, 0.24, 0.22, 0.24, 0.29, 0.4, 
##     0.35, 0.19, 0.21, 0.31, 0.29, 0.27, 0.34, 0, 0.22, 0.18, 
##     0.21, 0.18, 0.13, 0.11, 0.14, 0.13, 0.13, 0.11, 0.16, 0.18, 
##     0.19, 0.18, 0.16, 0.16, 0.16, 0.16, 0.16, 0.16, -0.02, -0.02, 
##     0.18, -0.13, -0.35, -0.48, -0.4, -0.24, 0.22, 0.31, 0.27, 
##     0.24, 0.22, 0.64, 0.93, 1.41, 1.49, 1.53, 1.14, 0.98, -0.02, 
##     0.03, 0.03, 0.03, 0.05, 0.08, 0.1, 0.14, 0.16, 0.16, 0.18, 
##     0.19, 0.14, 0.18, 0.35, 0.32, 0.31, 0.24, 0.19, 0.21, -0.05, 
##     0, 0.06, 0.1, 0.11, 0.1, 0.08, 0.06, 0.05, 0.03, 0.05, 0.05, 
##     0.1, 0.08, 0.14, 0.13, 0.21, 0.21, -0.13, -0.13, -0.13, -0.13, 
##     -0.13, -0.13, -0.13, -0.13, -0.16, -0.16, -0.19, -0.22, -0.27, 
##     -0.27, -0.27, -0.24, -0.26, -0.29, -0.32, -0.34, -0.26, -0.24, 
##     -0.24, -0.22, -0.19, -0.19, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.24, -0.24, -0.24, -0.24, -0.24, -0.24, -0.06, -0.08, -0.03, 
##     -0.03, -0.05, -0.13, 0, -0.05, -0.21, -0.27, -0.16, -0.1, 
##     -0.03, 0.02, 0.02, -0.06, -0.16, -0.08, 0.05, 0.05, 0.02, 
##     0.06, 0.08, 0.13, 0, -0.02, 0.1, 0.03, 0.21, 0.22, 0.21, 
##     0.21, 0.14, -0.55, -0.55, -0.43, -0.21, -0.18, -0.16, -0.11, 
##     -0.06, -0.05, -0.02, -0.13, -0.14, -0.21, -0.21, -0.22, -0.22, 
##     -0.14, -0.11, -0.1, -0.03, -0.02, 0.16, 0.18, 0.13, 0.06, 
##     -0.02, -0.16, -0.18, -0.02, 0.03, 0.06, 0.13, 0.06, -0.21, 
##     -0.32, -0.26, -0.19, -0.11, -0.13, -0.11, -0.08, -0.22, -0.16, 
##     -0.16, -0.06, 0, 0.13, 0.11, 0.05, -0.13, -0.24, -0.29, -0.26, 
##     -0.05, 0, 0.02, -0.14, -0.14, -0.13, -0.29, -0.32, -0.21, 
##     -0.27, -0.29, -0.29, -0.19, 0, 0.02, 0.02, -0.14, -0.14, 
##     -0.14, -0.1, -0.1, -0.06, -0.05, 0.03, 0.1, 0.18, 0.13, 0.08, 
##     -0.05, -0.1, -0.06, 0.16, 0.32, 0.13, 0.14, 0.19, 0.16, 0.05, 
##     0, 0, 0, -0.02, -0.02, -0.03, -0.06, -0.11, -0.16, -0.19, 
##     -0.21, -0.13, -0.05, -0.03, -0.03, -0.06, -0.08, -0.06, -0.08, 
##     -0.1, -0.1, -0.13, -0.16, -0.1, -0.1, -0.03, -0.03, -0.05, 
##     -0.08, -0.13, -0.19, -0.29, -0.35, -0.35, -0.31, -0.27, -0.26, 
##     -0.22, -0.06, -0.05, 0.06, 0.02, -0.08, -0.06, -0.06, 0.08, 
##     0.1, 0.1, 0, 0, 0, -0.02, 0.02, 0.03, 0.05, 0.08, 0.03, 0.1, 
##     0.1, 0.13, 0.18, 0.24, 0.29, 0.24, 0.05, -0.02, -0.21, -0.21, 
##     -0.11, -0.1, -0.08, -0.05, -0.03, 0.02, -0.03, -0.08, -0.02, 
##     -0.02, -0.06, -0.08, -0.27, -0.32, -0.31, -0.27, -0.24, -0.06, 
##     0, 0.03, 0.08, 0.16, 0.16, 0.1, 0.05, 0.05, 0.06, 0.13, 0.16, 
##     0.13, 0.11, 0.06, 0.02, 0.08, 0.1, 0.21, 0.26, 0.31, 0.26, 
##     0.19, 0.11, -0.16, -0.16, -0.1, -0.1, -0.11, -0.06, -0.06, 
##     -0.05, 0.29, 0.31, 0.32, 0.29, 0.34, 0.37, 0.39, 0.5, 0.24, 
##     0, -0.26, -0.21, -0.21, -0.24, -0.14, -0.06, -0.11, -0.16, 
##     -0.13, -0.22, -0.21, -0.16, -0.21, -0.14, -0.18, -0.14, -0.13, 
##     -0.1, -0.05, -0.02, -0.03, 0.03, 0.03, 0, -0.06, -0.1, -0.1, 
##     -0.08, -0.08, -0.11, -0.11, -0.13, -0.08, -0.06, -0.03, -0.02, 
##     0, 0.03, 0.06, 0.05, 0.05, 0.03, 0.03, 0, -0.02, -0.02, -0.02, 
##     -0.06, -0.06, -0.06, -0.08, -0.05, -0.02, 0, -0.02, -0.02, 
##     -0.03, -0.05, -0.05, -0.08, -0.11, -0.1, -0.05, -0.03, -0.02, 
##     -0.05, -0.02, -0.02, -0.11, 0, 0.02, -0.02, 0.02, -0.02, 
##     -0.08, -0.11, -0.11, -0.14, -0.19, 0, -0.03, -0.05, -0.05, 
##     -0.13, -0.18, -0.03, -0.11, -0.11, -0.27, -0.31, -0.24, -0.22, 
##     -0.08, -0.05, -0.03, -0.02, -0.02, -0.05, -0.05, -0.13, -0.22, 
##     -0.24, -0.13, -0.03, 0, 0.02, 0, -0.05, -0.11, -0.18, -0.19, 
##     -0.19, -0.21, -0.16, -0.13, -0.03, 0.14, -0.02, 0.03, -0.13, 
##     -0.14, -0.06, -0.11, -0.05, -0.02, 0.02, 0, 0.02, 0.03, 0.03, 
##     0, 0, -0.22, -0.4, -0.42, -0.43, -0.45, -0.42, -0.13, -0.06, 
##     -0.13, -0.13, -0.1, -0.11, -0.13, -0.13, -0.14, -0.1, -0.11, 
##     -0.05, 0.08, -0.06, 0.02, -0.06, -0.08, -0.02, 0.16, 0.18, 
##     0.19, 0.16, 0.14, -0.16, -0.24, -0.31, -0.34, -0.21, -0.1, 
##     0.02, 0.03, -0.13, -0.19, -0.34, -0.26, -0.24, -0.34, -0.35, 
##     0.05, 0.1, -0.02, -0.13, -0.16, -0.19, -0.22, -0.24, -0.19, 
##     -0.02, 0.18, 0.16, 0.14, 0.03, 0, -0.13, -0.19, -0.31, -0.31, 
##     -0.27, -0.26, -0.22, -0.19, -0.18, -0.13, -0.08, -0.13, -0.26, 
##     -0.16, -0.72, -0.66, -0.61, -0.61, -0.39, -0.26, -0.14, -0.06, 
##     -0.03, -0.02, -0.06, -0.05, 0, 0.03, 0.05, 0.06, 0.06, 0.06, 
##     0.03, 0.02, 0.03, 0.08, 0.1, 0.11, 0.13, 0.18, 0.19, 0.14, 
##     0.21, 0.32, 0.34, -0.03, -0.37, -0.29, -0.26, -0.18, -0.18, 
##     -0.22, -0.18, -0.18, -0.21, -0.03, 0, -0.06, -0.32, -0.26, 
##     -0.16, -0.1, -0.1, -0.11, -0.13, -0.08, -0.11, -0.1, -0.11, 
##     -0.14, -0.14, -0.16, -0.18, -0.19, -0.14, -0.02, 0.03, 0.34, 
##     0.42, -0.03, 0, 0.02, 0.02, 0, 0, -0.02, -0.08, -0.11, -0.13, 
##     -0.13, -0.1, -0.05, -0.03, 0.05, 0.11, 0.14, 0.18, 0.27, 
##     0.31, 0.35, 0.45, 0.45, 0.42, 0.37, 0.32, 0.24, 0.1, -0.1, 
##     -0.5, -0.43, -0.43, -0.42, -0.29, -0.26, -0.27, -0.24, -0.19, 
##     -0.13, -0.05, -0.14, -0.19, -0.16, -0.27, -0.26, -0.14, -0.03, 
##     -0.06, -0.18, -0.24, -0.16, -0.32, -0.26, -0.27, -0.27, -0.22, 
##     -0.16, -0.05, -0.05, -0.05, -0.18, -0.18, -0.14, -0.1, 0, 
##     0, 0.06, 0.14, -0.18, -0.19, -0.14, -0.14, -0.24, -0.24, 
##     -0.29, -0.58, -0.48, -0.13, -0.1, 0, 0.03, 0.05, 0.03, -0.02, 
##     -0.08, -0.11, -0.1, -0.06, -0.06, -0.02, 0.05, 0.16, 0.21, 
##     0.21, 0.21, 0.21, 0.31, 0.39, 0.48, 0.8, 0.75, 0.32, 0.05, 
##     -0.22, -0.61, -0.61, -0.48, -0.42, -0.39, -0.39, -0.39, -0.22, 
##     -0.22, -0.1, -0.18, -0.14, -0.19, -0.21, -0.11, -0.11, -0.16, 
##     -0.21, -0.31, -0.43, -0.48, -0.45, -0.37, -0.16, -0.05, -0.05, 
##     -0.03, -0.03, -0.08, -0.1, -0.08, -0.11, -0.14, -0.21, -0.26, 
##     -0.29, -0.26, -0.05, 0.14, 0.19, 0.18, 0.29, 0.27, 0.21, 
##     0.05, -0.47, -0.45, -0.42, -0.34, -0.11, -0.13, -0.14, -0.14, 
##     -0.18, -0.21, -0.14, -0.11, -0.14, -0.27, -0.34, -0.35, -0.29, 
##     -0.18, -0.31, -0.27, -0.14, -0.18, -0.06, -0.08, -0.08, -0.08, 
##     -0.16, 0.35, 0.27, 0.21, -0.02, -0.03, -0.13, -0.14, -0.19, 
##     -0.16, -0.13, -0.13, -0.06, -0.1, -0.06, -0.05, -0.03, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     0.14, 0.16, 0.16, 0.16, 0.21, 0.29, 0.34, 0.32, 0.35, 0.34, 
##     0.29, 0.21, 0.05, -0.08, -0.08, -0.13, -0.21, -0.24, -0.19, 
##     -0.14, -0.1, -0.02, 0, 0, 0.08, 0.13, 0.13, -0.02, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.06, -0.08, -0.21, -0.16, 
##     0.14, 0.18, 0.18, 0.11, 0.14, 0.16, 0.26, 0.29, 0.19, 0.14, 
##     0.05, 0.16, 0.31, 0.35, 0.32, 0.16, 0.14, 0.11, 0.1, 0.13, 
##     0.21, 0.24, 0.24, 0.27, 0.27, 0.27, 0.27, 0.32, 0.35, 0.32, 
##     0.14, 0, -0.11, -0.13, -0.08, -0.05, -0.06, -0.1, -0.05, 
##     -0.1, -0.05, 0, 0.08, 0.06, 0.03, 0, -0.02, 0, 0.02, 0, 0, 
##     -0.05, -0.02, 0.05, 0.06, 0.02, -0.14, -0.14, -0.19, -0.16, 
##     0.06, 0.11, 0.11, 0.1, 0.1, 0.13, 0.14, 0.24, 0.34, 0.18, 
##     0.19, 0.08, 0.1, 0.13, 0.14, 0.18, 0.16, 0.26, 0.31, 0.35, 
##     0.4, 0.39, 0.22, 0.13, 0.13, 0.08, 0.05, 0.02, -0.08, -0.1, 
##     -0.14, -0.16, -0.05, -0.08, -0.06, -0.06, 0.42, 0.35, 0.26, 
##     0.26, 0.26, 0.26, 0.22, 0.22, 0.22, 0.24, 0.24, 0.27, 0.22, 
##     0.24, 0.24, 0.22, 0.31, 0.39, 0.42, 0.39, 0.37, 0.42, 0.42, 
##     0.34, 0.13, -0.05, -0.05, -0.1, -0.08, -0.05, -0.05, -0.06, 
##     -0.03, 0, -0.03, -0.08, -0.05, -0.1, -0.14, -0.14, -0.11, 
##     -0.08, -0.03, -0.03, -0.03, -0.03, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.14, -0.16, 
##     -0.18, -0.19, -0.21, -0.19, -0.11, -0.1, -0.1, -0.05, -0.03, 
##     -0.03, -0.05, -0.06, -0.02, 0.03, 0.05, -0.03, -0.05, -0.03, 
##     -0.03, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.63, 
##     -0.56, -0.48, -0.32, -0.24, -0.27, -0.26, -0.13, -0.08, 0.05, 
##     0.08, 0.13, 0.39, 0.45, 0.61, 0.58, 0.55, 0.55, 0.51, 0.4, 
##     0.39, 0.37, 0.27, -0.08, -0.14, -0.19, -0.03, -0.06, -0.21, 
##     -0.64, -0.82, -0.93, -1, -1.01, -0.87, -0.93, -0.96, -1, 
##     -1, -0.98, -0.96, -0.98, -0.98, -0.9, -0.8, -0.8, -0.8, -0.75, 
##     -0.64, -0.47, -0.4, -0.53, -0.48, -0.53, -0.59, -0.64, -0.63, 
##     -0.58, -0.45, -0.35, -0.27, -0.27, -0.26, -0.27, -0.22, -0.18, 
##     -0.18, -0.05, 0, 0.06, 0.16, 0.24, 0.31, 0.56, 0.64, 0.66, 
##     0.74, 0.79, 0.92, 0.98, 0.72, 0.47, 0.4, 0.31, 0.02, -0.11, 
##     -0.21, -0.27, -0.75, -1, -1.16, -1.08, -0.95, -0.9, -0.85, 
##     -0.79, -0.75, -0.8, -0.92, -0.98, -0.8, -0.75, -0.71, -0.72, 
##     -0.58, -0.53, -0.42, -0.34, -0.35, -0.35, -0.32, -0.31, -0.29, 
##     -0.32, -0.29, -0.26, -0.34, -0.27, -0.16, -0.14, -0.08, -0.02, 
##     0.03, 0.05, 0.06, 0.1, 0.24, 0.31, 0.29, 0.29, 0.4, 0.45, 
##     0.5, 0.59, 0.59, 0.63, 0.58, 0.1, -0.16, -0.21, -0.29, -0.39, 
##     -0.53, -0.66, -1, -0.92, -0.74, -0.72, -0.9, -0.98, -1, -1.01, 
##     -1.01, -1.01, -1.01, -1.01, -0.98, -0.93, -0.93, -0.82, -0.82, 
##     -0.82, -0.82, -0.77, -0.77, -0.77, -0.72, -0.72, -0.61, -0.5, 
##     -0.5, -0.45, -0.42, -0.51, -0.48, -0.24, -0.27, -0.27, -0.18, 
##     -0.13, -0.1, -0.11, 0.08, 0.14, 0.22, 0.4, 0.45, 0.59, 0.59, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 0.56, 
##     0.16, 0.13, 0.14, 0.16, 0.14, 0.14, 0.13, 0.13, 0.13, 0.16, 
##     0.18, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.16, 0.14, 0.16, 
##     -0.1, -0.11, -0.13, -0.11, -0.14, -0.18, -0.21, -0.16, 0.19, 
##     0.24, 0.58, 0.59, 0.61, 0.72, 0.77, 0.74, 0.53, 0.42, 0.16, 
##     0.05, -0.18, -0.21, -0.19, -0.18, -0.19, -0.18, -0.13, -0.03, 
##     0.06, 0, -0.02, 0.03, 0.08, 0.02, 0, -0.02, -0.06, -0.13, 
##     -0.27, -0.26, -0.22, -0.05, 0, 0.03, 0.02, 0.02, 0.02, 0.06, 
##     0.05, 0.02, 0, -0.03, -0.02, -0.03, 0.08, 0.29, 0.37, 0.53, 
##     0.5, 0.43, 0.24, 0.08, -0.19, -0.24, -0.18, -0.14, -0.14, 
##     -0.11, -0.06, -0.02, -0.02, 0, -0.03, -0.03, 0, -0.02, 0, 
##     0.02, 0, 0.02, 0.06, 0.03, -0.08, -0.16, -0.24, -0.27, -0.24, 
##     -0.22, -0.21, -0.14, -0.13, -0.11, -0.06, 0, 0.05, 0.02, 
##     0.02, 0.02, 0.03, 0.02, 0.02, 0, 0.02, 0.02, 0.03, 0.05, 
##     0.1, 0.1, 0.21, 0.26, 0.32, 0.37, 0.37, 0.39, 0.34, 0.29, 
##     0.26, 0.22, -0.21, -0.16, -0.14, -0.13, -0.08, -0.06, -0.05, 
##     -0.05, -0.03, 0.05, -0.03, -0.02, -0.03, -0.11, -0.11, -0.18, 
##     -0.24, -0.32, -0.35, -0.35, -0.31, -0.03, 0.06, 0.06, 0.06, 
##     0.06, 0.05, 0.05, 0.06, 0.06, 0.06, 0.06, 0.1, 0.14, 0.03, 
##     0.39, 0.55, 0.51, 0.13, 0, -0.13, -0.24, -0.31, -0.19, -0.22, 
##     -0.14, -0.14, -0.13, -0.13, -0.14, -0.13, -0.08, -0.08, -0.13, 
##     -0.11, -0.14, -0.18, -0.16, -0.26, -0.47, -0.18, -0.1, 0.06, 
##     0.06, 0.03, 0.06, 0.08, 0.08, 0.11, 0.1, 0.22, 0.4, 0.37, 
##     0.24, 0.14, -0.05, -0.14, -0.21, -0.16, -0.13, -0.1, -0.08, 
##     -0.11, -0.1, -0.05, -0.02, -0.03, -0.05, -0.03, 0.02, 0.02, 
##     0.03, 0.05, 0.02, -0.08, -0.19, -0.21, -0.16, -0.19, -0.19, 
##     -0.18, -0.13, -0.05, -0.02, 0.03, 0.05, 0.14, 0.19, 0.11, 
##     0.06, 0.1, 0.32, 0.39, -0.24, -0.27, -0.26, -0.26, -0.32, 
##     -0.32, -0.29, -0.19, -0.14, -0.11, -0.11, -0.06, 0, 0.03, 
##     0.03, 0.02, 0, 0.14, 0.21, 0.32, 0.4, 0.45, 0.37, 0.31, 0.18, 
##     0.06, 0.03, 0.1, 0.11, 0.02, -0.02, -0.13, -0.14, -0.14, 
##     -0.14, -0.14, -0.11, -0.13, -0.1, -0.03, 0, 0.05, 0.02, 0.03, 
##     -0.06, -0.1, -0.06, -0.11, -0.16, -0.19, -0.22, -0.19, -0.11, 
##     -0.03, 0.03, 0.11, 0.13, 0.13, 0.13, 0.13, 0.13, 0.14, 0.16, 
##     0.19, 0.16, 0.19, 0.18, 0.14, 0.11, 0.03, -0.02, 0.08, 0.08, 
##     0.13, 0.19, 0.37, 0.39, 0.39, 0.42, 0.45, 0.5, 0.51, -0.11, 
##     0.1, 0.05, 0.05, 0.08, 0.13, 0.14, 0.14, 0.16, 0.16, 0.14, 
##     0.11, 0.1, 0.13, 0.14, 0.11, 0.16, 0.14, 0.11, 0.13, 0.13, 
##     0.13, 0.13, 0.14, 0.16, 0.16, 0.18, 0.19, 0.11, 0.06, -0.02, 
##     -0.05, -0.05, -0.03, 0, 0.13, 0.21, 0.27, 0.14, 0.16, 0.16, 
##     0.13, 0.1, 0.11, 0.14, 0.16, 0.16, 0.16, 0.13, 0.11, 0.1, 
##     0.1, 0.1, 0.14, 0.13, 0.11, 0.11, 0.1, 0.1, 0.1, 0.32, 0.56, 
##     0.63, 0.92, 1, 0.77, 0.72, 0.74, 0.64, 0.45, 0.03, 0.79, 
##     0.8, 0.79, 0.77, 0.77, 0.72, 0.4, 0.34, 0.47, 0.37, -0.34, 
##     -0.24, -0.24, -0.24, -0.29, -0.27, -0.21, -0.13, -0.08, -0.18, 
##     -0.13, -0.14, -0.26, -0.31, -0.31, -0.29, -0.06, -0.34, -0.32, 
##     -0.31, -0.31, -0.24, -0.18, -0.11, -0.1, -0.1, -0.08, -0.13, 
##     0.08, -0.37, -0.51, -0.39, -0.03, 0.1, 0.13, 0.21, 0.24, 
##     0.24, 0.19, 0.18, 0.22, 0.26, 0.29, 0.63, 0.72, 0.72, 0.71, 
##     0.67, 0.53, 0.51, 0.53, 0.56, 0.47, 0.06, -0.26, -0.32, -0.32, 
##     -0.18, -0.22, -0.31, -0.37, -0.32, -0.06, -0.03, -0.06, -0.13, 
##     -0.03, -0.02, 0.06, -0.05, 0.08, 0.18, 0.18, 0.19, 0.19, 
##     0.19, 0.19, 0.24, 0.31, 0.34, 0.37, 0.59, 0.75, 0.82, 0.82, 
##     0.77, 0.71, 0.43, 0.19, 0.02, -0.13, -0.32, -0.26, -0.24, 
##     -0.21, -0.21, -0.26, -0.35, -0.26, -0.21, -0.19, -0.26, -0.11, 
##     -0.13, -0.13, -0.03, -0.06, 0.03, 0.16, 0.22, 0.21, 0.19, 
##     0.35, 0.37, 0.45, 0.66, 0.69, 0.79, 0.9, 0.9, 0.59, 0.85, 
##     0.79, 0.1, -0.16, -0.35, -0.45, -0.45, -0.35, -0.22, -0.08, 
##     -0.06, -0.08, -0.03, 0, -0.05, -0.14, -0.22, -0.19, -0.19, 
##     -0.06, 0.11, 0.16, 0.29, 0.32, 0.4, 0.55, 0.61, 0.96, 1.22, 
##     1.3, 1.12, 0.95, 0.69, 0.64, 0.55, 0.4, -0.05, -0.24, -0.4, 
##     -0.61, -0.66, -0.53, -0.47, -0.4, -0.29, -0.19, -0.13, 0.5, 
##     0.27, -0.21, -0.22, -0.22, -0.24, -0.24, -0.21, -0.16, -0.14, 
##     -0.21, -0.18, -0.18, -0.16, -0.13, -0.08, -0.08, -0.05, -0.05, 
##     -0.03, -0.08, -0.06, 0.05, 0.02, 0.19, 0.21, 0.14, 0.26, 
##     0.4, 0.51, 0.63, 0.66, 0.69, 0.69, 0.55, 0.27, 0.24, 0.37, 
##     0.61, 0.32, -0.14, -0.26, -0.22, -0.24, -0.26, -0.11, -0.1, 
##     -0.1, -0.03, -0.08, -0.05, -0.06, -0.08, -0.14, -0.16, -0.16, 
##     0.06, 0.16, 0.19, 0.21, 0.21, 0.26, 0.31, 0.45, 0.58, 0.82, 
##     0.93, 0.82, 0.29, 0.37, 0.35, 0.34, 0.24, 0.06, -0.11, -0.24, 
##     -0.34, -0.26, -0.14, -0.26, -0.32, -0.42, -0.21, -0.08, -0.11, 
##     -0.02, -0.02, -0.11, -0.24, -0.21, 0.24, 0.29, 0.26, 0.21, 
##     0.19, 0.19, 0.19, 0.16, 0.11, 0.11, 0.11, 0.1, 0.1, 0.11, 
##     0.1, 0.1, 0.11, 0.11, 0.13, 0.13, 0.1, 0.1, 0.13, 0.14, 0.14, 
##     0.13, 0.11, 0.13, 0.18, 0.18, 0.16, 0.21, 0.21, 0.21, 0.21, 
##     0.22, 0.22, 0.22, 0.24, 0.27, 0.18, 0.22, 0.1, 0.11, 0.1, 
##     0.11, 0.11, 0.11, 0.1, 0.11, 0.1, 0.11, 0.14, 0.14, 0.14, 
##     0.18, 0.18, 0.16, 0.16, 0.16, 0.14, 0.13, 0.11, 0.06, 0.03, 
##     0.14, 0.11, 0.08, 0.11, 0.14, 0.27, 0.29, 0.29, 0.26, 0.21, 
##     0.19, 0.16, 0.13, 0.08, 0.1, 0.1, 0.1, 0.1, 0.08, 0.08, 0.05, 
##     0.03, 0.02, 0.03, -0.19, -0.05, 0.02, 0.1, 0.19, 0.27, 0.35, 
##     0.29, 0.32, 0.35, 0.32, 0.27, 0.29, 0.27, 0.16, 0.03, 0, 
##     -0.03, -0.08, -0.08, -0.1, -0.18, -0.16, -0.16, -0.13, -0.11, 
##     -0.05, 0, 0.05, 0.05, 0.06, 0.06, 0.05, 0.03, 0.05, 0.03, 
##     0.1, 0.08, 0.02, 0.1, 0.08, 0.13, 0.1, 0.11, 0.05, 0.06, 
##     0.02, 0.02, 0, -0.02, 0.06, 0.06, 0.08, 0.08, 0.02, 0, 0, 
##     0.02, 0.05, 0.5, 0.5, 0.51, 0.51, 0.48, 0.47, 0.45, 0.37, 
##     0.06, 0.02, 0.02, 0.02, 0.03, 0.03, -0.02, -0.02, 0.03, 0.03, 
##     0.02, 0.02, 0.48, 0.47, 0.43, 0.42, 0.5, 0.51, 0.55, 0.55, 
##     0.56, 0.61, 0.58, 0.56, 0.53, 0.53, 0.48, 0.32, 0.24, -0.1, 
##     -0.19, -0.31, -0.47, -0.42, -0.24, 0.24, 0.19, 0.29, 0.29, 
##     0.29, 0.29, 0.29, 0.27, 0.27, 0.22, 0.24, 0.42, 0.32, 0.31, 
##     0.34, 0.29, 0.21, 0.22, 0.24, 0.18, 0.21, 0.18, 0.14, 0.16, 
##     0.14, 0.1, 0.03, -0.02, -0.05, -0.08, -0.14, -0.19, -0.24, 
##     -0.27, -0.22, -0.26, -0.24, -0.18, -0.11, -0.06, -0.06, -0.18, 
##     -0.06, -0.13, -0.11, -0.06, -0.03, 0.03, 0.22, 0.21, 0.06, 
##     0.08, 0.06, 0.06, 0.02, -0.06, -0.08, -0.13, -0.14, -0.18, 
##     -0.19, -0.24, -0.21, -0.08, -0.03, -0.02, -0.02, -0.05, -0.06, 
##     -0.03, 0.02, -0.03, 0.02, 0.06, 0.08, 0.08, 0.08, 0.06, 0.03, 
##     0.05, 0.05, 0.02, 0.06, 0.1, 0.14, 0.13, 0.14, 0.14, 0.14, 
##     0.13, 0.06, 0.05, 0.08, 0.13, 0.21, 0.27, 0.32, 0.32, 0.35, 
##     0.34, 0.34, 0.22, 0.18, 0.16, 0.16, 0.11, 0.13, 0.14, 0.13, 
##     0.06, 0.02, -0.08, -0.05, -0.03, -0.14, -0.14, -0.13, -0.13, 
##     -0.1, -0.08, -0.08, -0.11, -0.08, -0.02, -0.05, -0.1, -0.02, 
##     -0.03, 0, 0.05, 0.05, 0.05, 0.02, 0.05, 0.06, 0.08, 0.08, 
##     0.06, 0.06, 0.03, 0.05, 0.08, 0.08, 0.13, 0.18, 0.29, 0.32, 
##     0.29, 0.29, 0.31, 0.43, 0.42, 0.4, 0.4, 0.42, 0.35, 0.31, 
##     0.21, 0.19, 0.11, 0.08, 0.05, 0.02, -0.03, -0.08, -0.1, -0.08, 
##     -0.11, -0.11, -0.1, -0.18, -0.11, -0.1, -0.16, -0.13, -0.18, 
##     -0.29, -0.13, -0.05, -0.02, 0.02, 0.05, 0.05, 0.05, 0.06, 
##     0.06, 0.06, 0.08, 0.06, 0.06, 0.08, 0.1, 0.11, 0.14, 0.18, 
##     0.18, 0.18, -0.19, -0.22, -0.16, -0.18, -0.18, -0.11, -0.08, 
##     -0.14, -0.16, -0.13, -0.1, -0.21, -0.19, -0.14, -0.05, 0.06, 
##     0.27, 0.19, 0.14, 0.4, 0.43, 0.55, 0.55, 0.55, 0.55, 0.53, 
##     0.51, 0.47, 0.37, 0.34, 0.35, 0.27, 0.16, 0.14, 0, -0.06, 
##     -0.1, -0.13, -0.16, -0.18, -0.18, -0.22, 0.06, 0.06, 0.08, 
##     0, 0.03, 0.06, 0.11, 0.14, 0.22, 0.29, 0.24, 0.29, 0.31, 
##     0.31, 0.29, 0.24, 0.27, 0.26, 0.26, 0.27, -0.14, -0.13, -0.14, 
##     -0.26, -0.24, -0.13, -0.11, -0.11, -0.03, 0, 0.03, 0.1, 0.1, 
##     0.05, 0, 0.02, 0.03, 0.08, 0.1, 0.06, 0.06, 0.08, 0.11, 0.03, 
##     0.03, 0.03, 0.02, 0.02, 0, 0.02, 0.03, 0.03, 0.05, 0.03, 
##     0, 0, 0.03, 0.08, 0.11, 0.1, 0.08, 0.06, 0.1, 0.16, 0.19, 
##     0.24, 0.27, 0.34, 0.47, 0.47, 0.47, 0.05, 0.06, 0.06, 0.02, 
##     -0.02, -0.21, -0.34, -0.22, -0.19, 0, 0.08, 0.11, 0.14, 0.14, 
##     0.32, 0.43, 0.45, 0.47, 0.14, 0.11, 0.1, 0.03, 0.08, 0.05, 
##     0.02, 0.02, 0.06, 0.05, 0.05, 0.06, 0.03, 0.06, 0.03, 0.03, 
##     0.03, 0.05, -0.02, 0.02, 0.02, 0, 0.02, 0.1, 0.08, 0.03, 
##     0.06, 0.19, 0.21, 0.21, 0.24, 0.08, 0, 0.02, 0.03, 0.06, 
##     0.06, 0.06, 0.1, 0.08, 0.13, 0.11, 0.05, 0.03, 0.02, 0.05, 
##     0.03, 0.05, 0.03, 0, -0.02, 0, -0.02, -0.02, -0.03, -0.02, 
##     -0.02, 0, 0.02, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 
##     0.39, 0.39, 0.39, 0.39, 0.39, 0.39, 0.39, -0.22, -0.22, -0.21, 
##     -0.18, -0.11, 0.02, 0.11, 0.16, 0.16, 0.08, 0.08, 0.03, 0, 
##     0.06, -0.06, -0.05, -0.05, -0.06, -0.03, -0.06, -0.16, -0.13, 
##     -0.11, -0.14, -0.19, -0.22, -0.21, -0.18, -0.14, -0.16, -0.19, 
##     -0.34, -0.37, -0.06, 0.06, 0.31, 0.45, 0.51, 0.29, 0.26, 
##     -0.06, -0.1, -0.13, -0.18, -0.14, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, 0.02, 0.06, 0.08, 0.1, 0.13, 0.13, 0.22, 0.21, 0.19, 
##     0.19, 0.19, 0.21, 0.26, 0.31, 0.31, 0.31, 0.35, 0.24, 0.19, 
##     0.14, 0.13, -0.02, -0.14, -0.13, -0.13, -0.11, -0.14, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.13, -0.13, -0.11, -0.11, 
##     -0.11, -0.06, -0.06, 0, 0, 0, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.02, -0.03, -0.13, -0.14, -0.19, -0.21, 
##     -0.18, 0.08, 0.05, 0.03, 0.03, 0.06, 0.08, 0.18, 0.14, 0.1, 
##     0.02, -0.06, -0.1, -0.11, -0.14, -0.14, -0.11, -0.1, -0.1, 
##     -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, -0.08, -0.1, 
##     -0.1, -0.03, -0.06, -0.08, -0.08, 0.11, 0.08, -0.02, 0, 0.03, 
##     0.06, 0.1, 0.16, 0.18, 0.14, 0.1, 0.06, 0.11, 0.11, 0.1, 
##     0.13, 0.14, 0.14, 0.26, 0.35, 0.35, 0.35, 0.35, 0.35, 0.35, 
##     0.47, 0.51, 0.43, 0.43, 0.43, -0.05, -0.02, -0.02, -0.02, 
##     -0.1, -0.16, -0.16, -0.18, -0.16, -0.13, -0.06, -0.11, -0.11, 
##     -0.03, 0.19, 0.22, 0.22, 0.31, 0.22, 0.22, 0.22, 0.22, 0.22, 
##     0.22, 0.22, 0.22, 0.26, 0.26, 0.26, 0.26, 0.26, 0.26, 0.22, 
##     0.22, 0.18, 0.13, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.14, 
##     0.18, 0.18, 0.18, 0.18, 0.19, 0.22, 0.19, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 0.19, 
##     0.22, 0.22, 0.22, -0.02, -0.02, -0.05, -0.1, -0.19, -0.13, 
##     -0.13, -0.11, -0.16, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.18, -0.18, -0.08, -0.08, -0.02, -0.02, -0.03, 
##     -0.06, -0.05, -0.03, -0.19, -0.21, -0.18, -0.06, -0.05, -0.16, 
##     -0.13, -0.1, 0.02, 0.1, 0.11, -0.1, -0.18, -0.19, -0.16, 
##     -0.11, 0.06, 0.1, 0.08, 0.02, -0.08, -0.29, -0.14, 0.02, 
##     0.11, 0.11, 0.13, 0.13, 0.13, 0.03, 0.1, 0.13, 0.1, -0.02, 
##     0, 0, -0.02, -0.03, -0.03, -0.05, -0.1, -0.08, -0.03, 0, 
##     0, 0.02, 0.02, 0, -0.06, -0.06, -0.1, -0.08, -0.08, -0.08, 
##     -0.08, 0.24, 0.21, 0.14, 0.1, 0.1, 0.16, 0.18, 0.13, 0.13, 
##     0.16, 0.16, 0.19, 0.19, 0.18, 0.14, 0.11, 0.11, 0.1, 0.1, 
##     0.1, 0.08, 0.06, 0.06, 0.1, 0.08, -0.13, -0.18, -0.16, -0.13, 
##     -0.08, 0.08, 0.13, 0.21, 0.22, 0.24, 0.24, 0.34, 0.42, 0.47, 
##     0.53, 0.56, 0.55, 0.55, 0.43, 0.56, 0.59, 0.27, 0.26, 0.22, 
##     0.21, 0.21, 0.21, 0.32, 0.45, 0.5, 0.55, 0.61, 0.67, 0.72, 
##     0.75, 0.74, 0.48, 0.5, 0.53, 0.61, -0.5, -0.35, -0.35, -0.39, 
##     -0.34, -0.27, -0.32, -0.21, -0.11, -0.1, -0.1, -0.06, -0.05, 
##     -0.19, 0.03, 0.14, 0.16, 0.19, 0.18, 0.16, 0.14, 0.16, 0.19, 
##     0.22, 0.26, 0.48, 0.58, 0.66, 0.53, 0.45, 0.4, 0.26, -0.4, 
##     -0.69, -0.98, -1.08, -0.93, -0.88, -0.8, -0.83, -0.92, -1.01, 
##     -1.01, -1, -0.95, -0.93, -0.63, -0.43, -0.45, -0.45, -0.29, 
##     -0.29, -0.32, -0.24, -0.19, -0.16, -0.11, -0.05, 0, 0.02, 
##     0.16, 0.29, 0.34, 0.37, 0.48, 0.5, 0.55, 0.58, 0.59, 0.59, 
##     0.58, 0.48, 0.5, -1.04, -1.04, -1.06, -1.06, -1.06, -1.06, 
##     -1.06, -1.06, -1.06, -1.06, -1.06, -1.06, -1.08, -1.08, -1.08, 
##     -1.08, -1.08, -1.08, -1.08, -1.08, -1.08, -1.06, -0.96, -0.87, 
##     -0.72, -0.5, -0.51, -0.35, -0.37, -0.43, -0.53, -0.69, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.98, -0.98, -0.95, -0.92, -0.92, -0.9, -0.88, -0.88, -0.9, 
##     -0.9, -0.9, -0.96, -0.96, -1.01, -1.04, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.05, -0.06, -0.1, -0.13, 
##     -0.1, -0.08, -0.08, -0.06, -0.06, -0.1, -0.08, -0.03, 0.02, 
##     0.16, 0.14, 0.13, 0.16, 0.18, 0.19, 0.19, 0.16, 0.11, 0.02, 
##     -0.19, -0.26, -0.27, 0.53, 0.51, 0.4, 0.18, 0.13, -0.24, 
##     -0.35, -0.45, -0.31, -0.27, -0.22, -0.18, -0.16, -0.21, -0.24, 
##     -0.32, -0.4, -0.53, -0.56, -0.51, -0.42, -0.32, -0.13, -0.22, 
##     -0.1, -0.08, -0.06, -0.05, -0.02, 0, 0.02, 0.06, 0.16, 0.22, 
##     0.29, 0.35, -0.08, -0.05, -0.06, -0.05, -0.08, -0.08, -0.08, 
##     0.11, 0.14, 0.1, 0.03, -0.03, -0.18, -0.21, -0.19, -0.19, 
##     -0.19, -0.18, -0.11, -0.05, -0.1, -0.11, -0.11, -0.11, -0.16, 
##     -0.1, -0.18, -0.26, -0.31, -0.24, -0.18, -0.1, -0.1, -0.16, 
##     -0.11, -0.02, -0.13, -0.11, -0.08, -0.18, -0.32, -0.31, -0.34, 
##     -0.35, -0.05, 0.08, -0.03, -0.02, 0.02, 0.05, 0.08, 0.08, 
##     0.18, 0.24, 0.27, 0.45, 0.48, 0.48, 0.43, 0.4, 0.35, 0.29, 
##     0.22, -0.1, -0.22, -0.21, -0.21, -0.21, -0.19, -0.02, -0.02, 
##     -0.06, -0.05, -0.05, -0.1, -0.08, -0.08, -0.11, -0.18, 0.16, 
##     0.16, 0.14, 0.14, 0.14, 0.14, 0.16, 0.16, 0.16, 0.16, 0.16, 
##     0.16, 0.16, 0.18, 0.16, 0.16, 0.16, 0.16, 0.18, 0.18, 0.18, 
##     0.19, 0.21, 0.21, 0.21, 0.24, 0.24, 0.27, 0.31, 0.29, 0.4, 
##     0.4, 0.42, 0.4, 0.32, 0.27, 0.19, 0.22, 0.1, 0.11, 0.14, 
##     0.14, 0.14, 0.14, 0.21, 0.43, 0.58, 0.72, 0.95, 1.41, 1.81, 
##     1.93, 1.8, 1.7, 1.59, 1.45, 1.32, 1.22, 1.11, 1, 0.87, 0.79, 
##     0.72, 0.59, 0.58, 0.58, 0.58, 0.37, 0.32, 0, -0.05, -0.37, 
##     -0.35, -0.43, -0.9, -1.03, -1.3, -1.33, -1.28, -1.28, -1.35, 
##     -1.28, -1.19, -1.12, -0.74, -0.59, -0.26, -0.26, -0.26, -0.26, 
##     -0.22, -0.35, -0.39, -0.51, -0.64, -0.45, -0.42, -0.26, -0.31, 
##     -0.24, -0.16, -0.1, -0.08, 0.02, 0.26, 0.37, 0.55, 0.69, 
##     1.2, 1.51, 1.62, 1.69, 1.98, 1.93, 1.78, 1.59, 1.57, 1.33, 
##     1.03, 0.85, 0.63, 0.56, 0.08, 0.08, -0.05, -0.18, -0.34, 
##     -0.5, -0.5, -0.67, -0.72, -0.74, -0.8, -1.03, -1.06, -1.2, 
##     -1.24, -1.27, -1.35, -1.25, -0.98, -0.74, -0.64, -0.42, -0.31, 
##     -0.27, -0.19, -0.26, -0.14, -0.03, 0.05, -0.08, -0.22, -0.22, 
##     -0.24, -0.21, -0.11, -0.22, -0.24, -0.05, -0.21, -0.1, -0.08, 
##     -0.03, 0.11, 0.13, 0.13, 0.16, 0.06, 0.05, 0.21, 0.22, 0.61, 
##     0.64, 0.85, 1.14, 1.53, 1.72, 1.78, 1.73, 1.69, 1.62, 1.54, 
##     -1.38, -1.11, -0.85, -0.92, -0.64, -0.63, -0.45, -0.37, -0.32, 
##     -0.32, -0.35, -0.4, -0.27, -0.08, -0.05, 0, 0.1, 0.11, 0.13, 
##     0.18, 0.24, 0.32, 0.79, 0.8, 1.19, 1.36, 1.57, 1.72, 1.94, 
##     2.06, 1.99, 1.98, 1.78, 1.67, 1.62, 1.61, 1.61, 1.62, 1.64, 
##     1.67, 1.64, 0.45, -0.11, -0.47, -0.69, -1.01, -1.11, -1.19, 
##     -1.28, -1.51, -1.64, -1.69, -1.7, -1.72, -1.72, -1.56, -1.53, 
##     -1.54, -1.51, -1.48, -1.45, -1.28, -1.16, -1.09, -0.82, -0.66, 
##     -0.58, -0.51, -0.4, -0.51, -0.53, -0.39, -0.42, -0.4, -0.02, 
##     0.06, 0.16, 0.26, 0.32, 0.4, 0.43, 0.51, 0.58, 0.64, 0.67, 
##     0.8, 1.01, 1.14, 1.27, 1.41, 1.61, 1.77, 1.89, 1.99, 2.04, 
##     1.94, 1.88, 1.85, 1.72, 1.7, 1.64, 1.7, 1.78, 1.73, 1.4, 
##     0.72, -0.27, -0.92, -1.48, -1.78, -1.88, -1.96, -1.96, -1.96, 
##     -1.98, -1.96, -1.83, -1.69, -1.61, -1.54, -1.45, -1.38, -1.28, 
##     -1.28, -1.28, -1.25, -1.24, -1.2, -1.19, -1.25, -1.3, -1.3, 
##     -1.25, -1.24, -1.11, -1.01, -0.8, -0.34, -0.18, -0.05, 0.19, 
##     0.45, 0.58, 0.67, 0.77, 0.87, 1.3, 1.41, 1.72, 2.23, 2.38, 
##     2.42, 2.46, 2.46, 2.47, 2.39, 2.3, 2.23, 2.1, 2.06, 0.37, 
##     0, -0.32, -0.56, -0.75, -0.9, -1.01, -1.16, -1.4, -1.69, 
##     -1.88, -1.86, -1.89, -2.04, -1.96, -1.86, -1.83, -1.83, -1.81, 
##     -1.62, -1.49, -1.4, 2.6, 2.49, 2.18, 1.91, 1.36, 1.01, 0.29, 
##     -0.31, -0.58, -0.74, -0.9, -1.49, -1.75, -1.88, -1.89, -1.91, 
##     -1.81, -1.89, -1.33, -1.56, -1.48, -1.67, -1.56, -1.38, -1.08, 
##     -1, -0.82, -0.63, 1.03, 1.51, 1.56, 1.65, 1.72, 1.73, 1.75, 
##     1.81, 1.86, 1.91, 1.89, 1.89, 1.89, 1.88, 1.85, 1.78, 1.75, 
##     1.7, 1.61, 1.48, 1.35, 1.12, 0.83, 0.55, 0.24, -0.88, -1.53, 
##     -1.78, -1.88, -1.91, -1.99, -1.73, -1.64, -1.51, -1.49, -1.59, 
##     -1.64, -1.72, -1.59, -1.54, -1.4, -1, -0.61, -0.45, -0.37, 
##     -0.27, -0.13, -0.13, -0.13, -0.05, 0.08, 0.14, 0.14, 0.14, 
##     0.39, 0.42, 0.45, 0.45, 0.5, 0.55, 0.64, -1.14, -1.16, -1.14, 
##     -1.12, -1.08, -1, -0.92, -0.93, -0.98, -1.04, -1.09, -1.11, 
##     -1.14, -0.85, -0.85, -0.83, -0.79, -0.72, -0.67, -0.63, -0.56, 
##     -0.45, -0.37, -0.22, -0.19, -0.08, -0.02, 0.08, 0.18, 0.26, 
##     0.31, 0.34, 0.35, 0.42, 0.58, 0.69, 0.79, 0.95, 1.01, 1.16, 
##     1.28, 1.4, 1.38, 1.4, 1.4, 1.32, 1.12, 1.08, 1.03, 1, 0.93, 
##     0.56, -0.34, -0.77, -0.85, -1.03, -1.16, -1.09, -1.06, -1.04, 
##     -1.03, -1.03, -0.98, -0.96, -0.85, -0.77, -0.75, -0.67, -0.66, 
##     -0.51, -0.16, -0.03, -0.13, -0.05, -0.03, 0.18, 0.26, 0.27, 
##     0.34, 0.42, 0.92, 0.92, 0.92, 0.96, 1, 1.03, 1.16, 1.2, 1.25, 
##     1.2, 1.04, 0.96, 0.92, 0.83, 0.82, 0.82, 0.79, 0.67, 0.39, 
##     0.22, -0.51, -0.67, -0.75, -0.79, -0.82, -0.9, -0.85, -0.85, 
##     -0.74, -0.71, -0.71, -0.88, -0.87, -0.87, -0.85, -0.82, -0.83, 
##     -0.9, -0.82, -0.72, -0.5, -0.34, -0.24, -0.35, -0.34, -0.24, 
##     -0.16, -0.13, -0.14, -0.22, -0.21, -0.13, -0.08, 0.34, 0.37, 
##     0.56, 0.61, 0.66, 0.67, 0.75, 0.77, 0.82, 0.83, 0.9, 0.98, 
##     1.06, 1.32, 1.27, 1.17, 1.16, 1.17, 1.04, 0.96, 0.43, -0.14, 
##     -0.27, -0.37, -0.47, -0.58, -0.8, -0.9, -0.93, -0.93, -0.92, 
##     -0.9, -0.88, -0.87, -0.87, -0.83, -0.79, -0.77, -0.67, -0.72, 
##     -0.75, -0.74, -0.72, -0.74, -0.71, -0.66, -0.58, -0.56, -0.37, 
##     -0.26, -0.19, -0.11, -0.18, -0.16, -0.02, 0.08, 0.11, 0.13, 
##     0.13, 0.13, 0.1, 0.1, 0.08, 0.06, 0.06, 0.05, 0.03, 0.03, 
##     0.02, 0.03, 0.03, 0.02, -0.02, -0.02, -0.03, -0.08, -0.13, 
##     -0.19, -0.24, -0.22, -0.22, -0.19, -0.19, -0.21, -0.22, -0.18, 
##     -0.18, -0.21, -0.26, -0.26, -0.24, -0.19, -0.08, -0.03, 0, 
##     0.02, 0.03, 0.05, 0.11, 0.14, 0.14, 0.14, 0.18, 0.19, 0.18, 
##     0.18, 0.14, 0.13, 0.1, 0.06, 0.05, 0.05, 0.06, 0.03, 0.03, 
##     0.03, -0.18, -0.19, -0.16, -0.06, -0.03, 0.03, 0.19, 0.16, 
##     0.08, 0.14, 0.19, 0.24, 0.27, 0.32, 0.32, 0.27, 0.16, 0.03, 
##     -0.13, -0.26, -0.37, -0.13, -0.06, -0.14, -0.13, -0.34, -0.31, 
##     -0.29, -0.24, -0.21, -0.19, -0.1, -0.1, -0.1, -0.08, -0.05, 
##     -0.02, -0.02, -0.06, 0.02, 0.05, 0.11, 0.14, 0.16, 0.18, 
##     0.18, 0.19, -0.02, -0.05, -0.08, -0.1, -0.18, -0.27, -0.34, 
##     -0.26, -0.14, -0.11, 0.03, 0, -0.08, -0.1, -0.18, -0.27, 
##     -0.45, -0.43, -0.39, -0.35, -0.29, -0.22, -0.21, -0.22, -0.19, 
##     -0.11, -0.13, -0.1, -0.06, -0.06, -0.08, -0.06, -0.05, -0.08, 
##     -0.11, -0.06, -0.03, 0, 0.08, 0.08, 0.11, 0.13, 0.11, 0.16, 
##     0.16, 0.18, 0.22, 0.31, 0.27, 0.14, -0.27, -0.42, -0.34, 
##     -0.14, -0.11, -0.02, -0.06, -0.14, -0.11, -0.27, -0.37, -0.59, 
##     -0.22, -0.27, -0.43, -0.22, -0.06, -0.22, -0.24, -0.21, -0.18, 
##     -0.19, 0.05, 0.14, 0.22, 0.27, -0.24, -0.21, -0.21, -0.67, 
##     -0.77, -0.79, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.08, -2.1, -0.02, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.08, 0.06, 0.03, 0.03, -0.02, 0.02, 0.02, 0.02, 0.05, 
##     0.08, 0.08, 0.13, 0.13, 0.05, 0.1, 0.19, 0.14, 0.16, 0.27, 
##     0.32, 0.39, 0.45, 0.5, 0.64, 0.71, 0.75, 0.79, 0.83, 0.93, 
##     0.98, 1.03, 1.08, 1.19, 1.12, 1.08, 1.08, 1.08, 1.11, 1.06, 
##     1.11, 1.09, 0.96, 0.98, 0.87, 0.9, 0.87, 0.83, 0.8, 0.77, 
##     0.77, 0.79, 0.75, 0.75, 0.64, 0.58, 0.4, 0.19, 0.16, 0.13, 
##     0.05, 0.02, -0.03, -0.05, -0.05, -0.06, -0.08, -0.11, -0.13, 
##     -0.14, -0.16, -0.16, -0.08, -0.05, -0.03, -0.05, -0.03, 0.02, 
##     0.02, 0.05, 0.05, 0.06, 0.05, 0.08, 0.14, 0.26, 0.21, 0.21, 
##     0.26, 0.34, 0.32, 0.37, 0.35, 0.37, 0.42, 0.5, 0.51, 0.69, 
##     0.72, 0.75, 0.77, 0.79, 0.77, 0.75, 0.77, 0.85, 1.09, 1.16, 
##     1.11, 1.01, 1.01, 1.01, 1.01, 1.01, 1.03, 1.09, 1.06, 0.92, 
##     0.92, 0.92, 0.74, 0.67, 0.66, 0.75, 0.77, 0.79, 0.74, 0.69, 
##     0.53, 0.27, 0.18, 0.14, 0.11, 0.08, 0.05, -0.05, -0.03, -0.05, 
##     -0.08, -0.18, -0.22, -0.32, -0.35, -0.14, -0.1, -0.11, -0.11, 
##     -0.1, -0.16, -0.16, -0.19, -0.22, -0.08, -0.1, -0.05, 0.03, 
##     0.08, 0.21, 0.39, 0.4, 0.43, 0.55, 0.58, 0.58, 0.59, 0.85, 
##     1.04, 1.06, 1, 1.03, 1.11, 1.19, 0.93, 0.95, 0.93, 0.93, 
##     0.93, 0.93, 0.93, 0.93, 0.93, 1.14, 1.22, 1.25, 1.24, 1.19, 
##     1.09, 0.98, 0.95, 1, 1, 0.77, 0.75, 0.79, 0.85, 0.87, 0.87, 
##     0.85, 0.88, 0.92, 0.87, 0.74, 0.71, 0.51, 0.34, 0.21, 0.06, 
##     -0.05, -0.19, -0.27, -0.06, -0.06, -0.05, 0.1, 0.03, -0.05, 
##     -0.1, -0.11, -0.06, -0.1, -0.16, -0.02, 0, -0.08, -0.08, 
##     -0.05, -0.06, 0.11, 0.18, 0.24, 0.34, 0.45, 0.64, 1.01, 1.01, 
##     1.17, 1.28, 1.3, 1.27, 1.33, 1.38, 1.41, 1.51, 1.54, 1.51, 
##     1.27, 1.2, 1.19, 1.09, 1.06, 0.93, 0.92, 0.88, 0.85, 0.85, 
##     0.85, 0.92, 0.95, 0.9, 0.9, 0.88, 0.85, 0.61, 0.45, 0.37, 
##     0.34, 0.4, 0.47, 0.5, 0.45, 0.35, 0.31, 0.21, 0.16, 0.11, 
##     0.05, -0.02, -0.08, -0.13, -0.16, -0.14, -0.14, -0.14, -0.27, 
##     -0.31, -0.18, -0.11, -0.1, -0.05, -0.05, -0.14, -0.19, -0.24, 
##     -0.29, -0.18, -0.03, 0.05, 0.05, 0.05, 0.14, 0.47, 0.53, 
##     0.75, 0.82, 0.96, 1.11, 1.24, 1.24, 1.19, 1.17, 1.19, 1.2, 
##     1.24, 1.22, 1.12, 1.06, 0.96, 1.01, 1.08, 1.11, 1.06, 1.09, 
##     1.04, 0.98, 0.8, 0.82, 0.8, 0.75, 0.69, 0.59, 0.51, 0.22, 
##     0.1, 0.08, 0.06, 0, -0.03, -0.06, -0.08, -0.06, -0.02, 0.03, 
##     -0.03, 0, 0.02, 0.03, 0, -0.03, -0.03, -0.31, -0.32, -0.31, 
##     -0.35, -0.4, -0.37, -0.27, -0.13, -0.06, -0.06, 1.33, 1.16, 
##     1.06, 0.98, 0.93, 0.87, 0.88, 0.85, 0.85, 0.83, 0.83, 0.8, 
##     0.74, 0.67, 0.61, 0.35, 0.31, 0.18, 0.03, -0.02, -0.03, -0.03, 
##     0, -0.03, -0.06, -0.03, 0, 0, 0.05, 0.06, 0.03, -0.05, -0.08, 
##     -0.14, -0.24, -0.31, -0.29, -0.13, -0.13, -0.08, -0.14, -0.1, 
##     -0.11, -0.13, -0.06, 0.11, 0.13, 0.37, 0.56, 0.59, 0.66, 
##     0.69, 0.95, 1.01, 1.04, 1.06, 1.09, 1.14, 1.08, 1.12, 1.17, 
##     1.11, 1.09, 1.09, 1.09, 1.14, 1.04, 1.06, 0.79, 0.83, 0.85, 
##     0.75, 0.72, 0.58, 0.45, 0.29, 0.14, -0.02, -0.08, -0.13, 
##     -0.16, -0.11, 0.1, 0.05, 0.02, 0, -0.05, -0.06, 0.05, 0.06, 
##     -0.06, 0.1, 0.06, 0.02, 0.05, 0.08, 0.11, 0.18, 0.14, 0.37, 
##     0.42, 0.51, 0.67, 0.69, 0.72, 0.79, 0.82, 0.87, 0.93, 0.98, 
##     1, 1, 0.9, 0.95, 1.06, 1.2, 1.25, 1.33, 1.36, 1.27, 0.8, 
##     0.72, 0.64, 0.63, 0.74, 0.74, 0.72, 0.92, 0.83, 0.79, 0.79, 
##     0.77, 0.75, 0.59, 0.58, 0.39, 0.26, 0.19, 0.02, -0.02, -0.06, 
##     -0.1, -0.18, -0.19, -0.21, -0.21, -0.21, -0.18, -0.13, -0.1, 
##     -0.1, -0.11, -0.11, -0.13, -0.13, -0.13, -0.1, -0.05, 0.08, 
##     0.06, -0.02, -0.11, 0, 0.08, 0.22, 0.48, 0.43, 0.31, 0.43, 
##     0.5, 0.64, 0.61, 0.61, 0.59, 0.64, 0.66, 0.67, 0.66, 0.63, 
##     0.61, 0.61, 0.61, 0.58, 0.42, 0.4, 0.39, 0.34, 0.4, 0.34, 
##     0.31, 0.26, 0.16, 0.16, 0.26, 0.32, 0.55, 0.75, 0.87, 0.85, 
##     0.83, 0.72, 0.59, 0.5, 0.48, 0.59, 0.64, 0.77, 0.71, 0.66, 
##     0.55, 0.37, 0.34, 0.35, 0.4, 0.42, 0.43, 0.43, 0.43, 0.45, 
##     0.47, 0.48, 0.48, 0.5, 0.56, 0.58, 0.55, 0.53, 0.53, 0.53, 
##     0.51, 0.5, 0.48, 0.47, 0.45, 0.16, 0.16, 0.16, 0.16, 0.14, 
##     0.14, 0.13, 0.14, 0.14, 0.14, 0.13, 0.06, 0.1, 0.13, 0.19, 
##     0.22, 0.19, 0.27, 0.34, 0.43, 0.47, 0.45, 0.63, 0.93, 1.17, 
##     1.3, 1.41, 1.43, 0.29, 0.22, 0.16, 0.06, -0.05, -0.13, -0.29, 
##     -0.5, -0.56, -0.64, -0.45, -0.35, -0.31, -0.24, -0.14, -0.16, 
##     -0.22, -0.22, -0.24, -0.26, -0.22, -0.24, -0.29, -0.16, -0.13, 
##     0, 0.13, 0.55, 0.74, 0.75, 0.79, 0.85, 0.9, 1.06, 0.9, 0.82, 
##     0.72, 0.66, 0.4, -0.16, -0.61, -0.71, -0.72, -0.71, -0.69, 
##     -0.45, -0.21, -0.26, -0.29, -0.32, -0.34, -0.31, -0.24, -0.27, 
##     -0.26, -0.06, 0, 0.08, 0.26, 0.31, -0.26, -0.31, -0.31, -0.31, 
##     -0.24, -0.02, -0.02, -0.1, -0.08, -0.03, 0.02, 0.1, 0.27, 
##     0.32, 0.4, 0.63, 0.79, 0.82, 0.95, 0.96, 1, 0.98, 0.79, 0.67, 
##     0.27, 0.26, 0.19, 0.1, -0.02, -0.13, -0.29, -0.39, -0.4, 
##     -0.45, -0.53, -0.53, -0.48, -0.16, -0.19, -0.24, -0.26, -0.32, 
##     -0.27, -0.29, -0.35, -0.35, -0.27, -0.16, -0.18, -0.14, -0.06, 
##     0, 0.11, 0.22, 0.32, 0.43, 0.48, 0.67, 0.72, 0.83, 1, 1.08, 
##     1.06, 1.03, 0.96, 0.79, 0.64, 0.51, 0.43, 0.4, 0.21, 0.08, 
##     -0.26, -0.34, -0.58, -0.48, -0.29, -0.13, -0.22, -0.27, -0.37, 
##     -0.39, -0.35, -0.29, -0.26, -0.22, -0.22, 0.02, 0.03, 0.03, 
##     0, 0.03, 0, -0.02, -0.05, -0.02, 0.13, 0.51, 0.53, 0.63, 
##     0.71, 0.67, 0.71, 0.79, 0.87, 1.06, 1.08, 1.03, 0.96, 0.87, 
##     0.77, 0.55, 0.48, 0.42, 0.18, 0.02, -0.45, -0.58, -0.61, 
##     -0.56, -0.47, -0.19, -0.16, -0.26, -0.26, -0.29, -0.26, -0.18, 
##     -0.16, -0.13, -0.19, -0.06, -0.02, 0.03, 0.14, 0.21, 0.22, 
##     0.34, 0.42, 0.48, 0.77, 0.77, 0.88, 0.95, 0.96, 1.01, 0.96, 
##     0.71, 0.58, 0.31, 0.22, 0.27, -0.16, -0.31, -0.48, -0.55, 
##     -0.69, -0.67, -0.59, -0.45, -0.34, -0.11, -0.21, -0.24, -0.29, 
##     -0.26, -0.26, -0.21, -0.26, -0.22, -0.14, -0.05, 0.02, 0.13, 
##     0.37, 0.43, 0.48, 0.67, 0.69, 0.72, 0.72, 0.71, 0.74, 0.77, 
##     0.93, 0.22, 0.21, 0.69, 0.77, 0.92, 0.98, 1.06, 1.09, 1.12, 
##     0.95, 0.88, 0.77, 0.48, 0.26, 0.18, 0.21, 0.19, -0.14, -0.32, 
##     -0.35, -0.61, -0.59, -0.34, -0.27, -0.19, -0.16, -0.24, -0.22, 
##     -0.24, -0.24, -0.26, -0.22, -0.22, -0.24, -0.1, -0.03, -0.02, 
##     -0.03, -0.06, 0.08, 0.13, 0.34, 0.4, 0.51, 0.53, 0.56, 0.64, 
##     0.77, 0.88, 0.98, 1.01, 1.04, 1.11, 1.12, 1.12, 1.09, 1.04, 
##     1, 0.79, 0.64, 0.32, 0.1, 0.18, 0.16, -0.1, -0.42, -0.5, 
##     -0.39, -0.16, -0.11, -0.06, -0.03, -0.31, -0.24, -0.21, -0.22, 
##     -0.22, -0.22, -0.05, -0.03, -0.08, -0.11, -0.13, -0.13, -0.11, 
##     -0.11, -0.08, -0.03, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 
##     0, 0.05, 0.05, 0.05, 0.05, 0.03, 0.03, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.19, 0.24, 0.24, 0.24, 0.24, 0.24, 0.24, 0.24, 
##     0.24, 0.24, 0.31, 0.29, 0.32, 0.29, 0.13, 0.21, 0.21, 0.19, 
##     0.18, 0.14, 0.16, 0.16, 0.1, 0.1, 0.13, 0.14, 0.14, 0.14, 
##     0.14, 0.13, 0.13, 0.13, 0.14, 0.14, 0.16, 0.14, 0.16, 0.16, 
##     0.14, 0.16, 0.16, 0.18, 0.18, 0.16, 0.16, 0.16, 0.16, 0.16, 
##     0.16, 0.1, 0.1, 0.1, 0.13, 0.1, 0.1, 0.11, 0.13, 0.14, 0.11, 
##     0.03, -0.02, 0.02, 0, -0.02, 0.05, 0.08, 0.1, 0.06, 0.08, 
##     0.16, 0.21, 0.27, 0.31, 0.34, 0.37, 0.43, 0.43, 0.45, 0.45, 
##     0.39, 0.31, -0.19, -0.19, -0.19, -0.16, -0.14, -0.03, 0.22, 
##     0.19, 0.16, 0.14, 0.06, 0.11, 0.11, 0.14, 0.19, 0.16, 0.13, 
##     0.11, 0.11, 0.13, 0.11, 0.16, 0.16, 0.14, 0.16, 0.16, 0.16, 
##     0.13, 0.14, 0.14, 0.14, 0.13, 0.18, 0.19, 0.19, 0.21, 0.18, 
##     0.18, 0.18, 0.16, 0.16, 0.14, 0.16, 0.16, 0.16, 0.16, 0.16, 
##     0.16, 0.18, 0.18, 0.18, 0.14, 0.14, 0.11, 0.13, 0.11, 0.11, 
##     0.1, 0.11, 0.11, 0.13, 0.13, 0.11, 0.13, 0.14, 0.14, 0.18, 
##     0.21, 0.22, 0.22, 0.19, 0.26, 0.11, 0.11, 0.1, 0.1, 0.08, 
##     0, 0, 0.08, 0.03, 0.08, 0.13, 0.13, 0.06, 0.02, 0, 0, 0, 
##     0.03, 0.11, 0.11, 0.19, 0.19, 0.18, 0.18, 0.14, 0.16, 0.18, 
##     0.16, 0.18, 0.18, 0.18, 0.18, 0.11, 0.14, 0.08, 0.05, -0.03, 
##     0, -0.05, -0.02, 0.29, 0.42, 0.69, 1.06, 1.38, 2.22, 2.25, 
##     2.07, 1.88, 1.19, 0.92, 0.67, 0.59, 0.5, 0.35, -0.24, -0.83, 
##     -1.22, -1.25, -1.16, -1.45, -1.28, -0.45, -0.42, -0.34, -0.37, 
##     -0.58, -0.48, -0.18, -0.03, 0.16, 0.53, 0.53, 0.63, 0.88, 
##     0.98, 1.77, 1.86, 2.06, 2.06, 1.83, 0.95, 0.77, 0.29, 0.11, 
##     -0.4, -0.75, -0.85, -0.88, -0.88, -0.74, -0.53, -0.35, -0.66, 
##     -0.63, -0.53, -0.58, -0.74, -0.75, -0.5, 0.02, 0.47, 0.58, 
##     0.98, 1.14, 1.22, 1.33, 1.67, 1.69, 1.54, 1.4, 1.14, 0.95, 
##     0.64, 0.63, 0.56, 0.39, 0.29, 0.22, 0.02, -0.24, -0.64, -0.67, 
##     -0.64, -0.66, -0.83, -0.83, -0.95, -1.16, -1.3, -1.24, -1.09, 
##     -0.92, -0.53, -0.58, -0.21, 0.22, 0.06, -0.27, -0.26, -0.19, 
##     -0.32, -0.35, -0.24, 0.03, 0.34, 0.32, 0.56, 0.88, 1.01, 
##     1.06, 1.14, 1.19, 1.25, 1.61, 1.56, 1.27, 1.22, 0.98, 0.72, 
##     0.22, 0.27, 0.21, -0.14, -0.27, -0.42, -0.56, -0.55, -0.63, 
##     -0.66, -0.56, -0.63, -0.58, -0.42, -0.42, -0.5, -0.02, -0.1, 
##     -0.21, -0.42, -0.47, -0.47, -0.06, 0.4, 0.43, 0.43, 0.51, 
##     0.53, 0.53, 0.64, 0.96, 0.98, 1.08, 1.28, 1.08, 0.87, 0.71, 
##     0.53, 0.29, 0.19, 0.08, -0.18, 1.06, 0.82, 0.67, 0.58, 0.42, 
##     0.37, 0.42, 0.27, 0, -0.29, -0.35, -0.42, -0.42, -0.51, -0.5, 
##     -0.45, -0.4, -0.21, -0.47, -0.51, -0.61, -0.29, -0.02, 0.11, 
##     0.45, 0.43, 0.5, 0.56, 0.83, 1.38, 1.38, 1.3, 1.25, 1.17, 
##     1.01, 0.85, 0.69, 0.45, 0.88, 1.08, 1.11, 1.17, 1.06, 0.08, 
##     -0.1, -0.59, -0.71, -0.71, -0.79, -0.87, -0.96, -0.74, -0.37, 
##     0.43, 0.22, -0.66, -0.75, -0.69, -0.71, -0.77, -0.77, -0.75, 
##     -0.9, -0.71, -0.71, -0.64, -0.42, -0.31, -0.45, -0.18, -0.08, 
##     -0.47, -0.59, -0.53, -0.51, -0.34, -0.06, 0.06, 0.26, 0.64, 
##     0.69, 0.77, 0.92, 1.83, 1.45, 1.25, 0.47, -0.03, -0.24, -0.43, 
##     -0.67, -0.9, -0.87, -0.87, -0.93, -0.9, -0.75, 0.08, 0.05, 
##     0.05, 0.03, 0.02, 0.02, 0.03, 0.03, 0.03, 0.05, 0.05, 0.06, 
##     0.19, 0.39, 0.43, 0.43, 0.42, 0.31, 0.32, 0.34, 0.26, 0.22, 
##     0.26, 0.31, 0.34, 0.32, 0.27, 0.26, 0.18, 0.14, 0.19, 0.18, 
##     0.1, 0, -0.05, -0.08, -0.1, -0.13, -0.16, -0.18, -0.19, -0.16, 
##     -0.11, -0.16, -0.21, -0.19, -0.21, -0.16, -0.14, -0.11, -0.08, 
##     -0.11, -0.08, -0.1, -0.11, -0.1, -0.11, -0.13, -0.1, -0.11, 
##     -0.08, -0.08, -0.1, -0.1, -0.05, 0.06, 0.06, 0.03, 0.02, 
##     0.05, 0.06, 0.05, 0.06, 0.06, 0.05, 0.03, -0.02, -0.03, 0.18, 
##     0.21, 0.19, 0.16, 0.47, 0.51, 0.51, 0.53, 0.58, 0.58, 0.53, 
##     0.42, 0.24, 0.21, 0.1, 0.1, 0.03, -0.02, -0.03, -0.06, -0.11, 
##     -0.16, -0.19, -0.24, -0.32, -0.32, -0.32, -0.32, -0.27, -0.26, 
##     -0.21, -0.18, -0.24, -0.02, 0, -0.13, -0.02, 0, 0.02, 0.06, 
##     0.1, 0, -0.03, -0.05, -0.03, -0.02, 0.05, 0.05, 0.02, 0, 
##     0.06, 0.18, 0.16, 0.02, 0.05, 0.26, 0.32, 0.31, 0.34, 0.42, 
##     0.5, 0.51, 0.48, 0.51, 0.56, 0.51, 0.45, 0.42, 0.43, 0.31, 
##     0.35, 0.22, 0.1, -0.18, -0.26, -0.45, -0.51, -0.51, -0.5, 
##     -0.34, -0.03, 0.03, -0.05, -0.05, -0.03, -0.05, -0.05, -0.21, 
##     -0.16, -0.13, -0.02, -0.02, -0.03, -0.02, 0.02, 0, 0.02, 
##     0.02, 0.02, -0.02, 0.03, 0.05, 0.06, 0.06, 0.08, 0.06, 0.05, 
##     0.1, 0.18, 0.21, 0.21, 0.22, 0.27, 0.32, 0.35, 0.55, 0.64, 
##     0.63, 0.63, 0.69, 0.67, 0.5, 0.5, 0.51, 0.47, 0.42, 0.45, 
##     0.4, 0.4, 0.34, 0.24, 0.02, -0.05, -0.11, -0.16, -0.16, -0.11, 
##     -0.05, -0.05, -0.06, -0.06, -0.14, -0.18, -0.24, -0.27, -0.29, 
##     -0.39, -0.42, -0.42, -0.35, -0.29, -0.21, -0.37, -0.34, -0.67, 
##     -0.48, -0.39, -0.35, -0.27, -0.18, -0.08, -0.02, 0.06, 0.1, 
##     0.16, 0.14, 0.16, 0.27, 0.32, 0.29, 0.24, 0.26, 0.29, 0.32, 
##     0.29, 0.31, 0.18, 0.16, 0.14, 0.1, 0.06, 0.06, 0.08, 0.1, 
##     0.11, 0.11, 0.11, 0.11, 0.11, 0.1, 0.11, 0.02, 0, -0.02, 
##     -0.08, -0.13, -0.13, -0.14, -0.13, -0.03, -0.05, -0.11, -0.14, 
##     -0.11, -0.18, -0.18, -0.19, -0.21, -0.16, -0.13, -0.13, -0.06, 
##     -0.06, -0.06, -0.08, -0.05, -0.05, -0.05, -0.03, 0.02, 0.02, 
##     -0.03, 0.18, 0.37, 0.45, 0.53, 0.64, 0.82, 0.96, 1.11, 1.25, 
##     1.61, 1.69, 1.73, 1.81, 1.73, 1.67, 1.61, 1.57, 1.57, 1.4, 
##     1.25, 0.82, 0.75, 0.74, 0.69, 0.72, 0.67, 0.67, -0.48, -0.47, 
##     -0.45, -0.43, -0.42, -0.37, -0.11, -0.03, 0, -0.13, -0.21, 
##     -0.4, -0.69, -0.71, -0.61, -0.53, -0.42, -0.13, -0.03, 0.02, 
##     0.13, 0.13, 0.19, 0.26, 0.58, 0.82, 1.12, 1.27, 1.49, 1.8, 
##     1.83, 1.81, 1.65, 1.57, 1.53, 1.43, 1.14, 1.06, 0.98, 0.93, 
##     0.9, 0.85, 0.79, 0.71, 0.63, 0.56, 0.5, 0.43, 0.31, 0.22, 
##     0.08, -0.13, -0.47, -0.56, -1, -1.06, -1.08, -1.11, -1, -0.9, 
##     -0.98, -0.93, -0.93, -0.83, -0.69, -0.61, -0.53, -0.51, -0.45, 
##     -0.32, -0.27, -0.37, -0.35, -0.35, -0.35, -0.34, -0.13, -0.06, 
##     -0.18, -0.48, -0.48, -0.58, -0.32, -0.26, -0.21, -0.02, 0.06, 
##     0.14, 0.21, 0.24, 0.31, 0.53, 0.75, 0.88, 1.06, 0.35, 0.31, 
##     0.31, 0.29, 0.32, 0.21, 0.1, -0.02, -0.26, -0.35, -0.42, 
##     -0.82, -1, -0.95, -0.69, -0.71, -0.77, -0.63, -0.67, -0.64, 
##     -0.63, -0.58, 1.24, 1.27, 1.61, 1.7, 1.78, 1.83, 1.77, 1.7, 
##     1.64, 1.33, 1.22, 1.19, 1.17, 0.77, 0.45, 0.34, 0.31, 0.32, 
##     0.67, 0.71, 0.61, 0.55, 0.29, 0.05, -0.03, -0.14, -0.27, 
##     -0.37, -0.47, -0.88, -1.09, -1.09, -1.11, -1.24, -1.25, -1.16, 
##     -1.09, -1.03, -0.96, -0.92, -0.9, -0.82, -0.69, -0.45, -0.48, 
##     0.02, -0.02, 0, 0.05, 0.1, 0.1, 0.06, 0.05, -0.03, -0.03, 
##     -0.02, -0.05, -0.08, -0.08, -0.08, -0.11, -0.08, -0.1, -0.08, 
##     0, 0.55, -1.03, -1.38, -1.43, -1.56, -1.59, -1.36, -1.25, 
##     -1.08, -0.51, -0.24, -0.92, -0.88, -0.83, -0.9, -1.16, -1.32, 
##     -1.43, -1.36, -0.95, -0.88, -1.17, -0.74, -0.55, -0.18, -0.06, 
##     -0.1, 0.06, 0.4, 0.5, 0.61, 0.74, 1.56, 1.45, -0.51, -0.67, 
##     -0.77, -0.22, -0.06, 0.02, 0.05, 0.03, 0.14, 0.21, 0.34, 
##     0.47, 0.55, 0.71, 0.87, 1.09, 1.19, 1.43, 1.45, 1.41, 1.3, 
##     0.69, 0.48, 0.35, 0.42, 0.55, 0.59, 0.8, -0.05, -0.59, -1.09, 
##     -1.46, -1.49, -1.38, -0.98, -0.87, -0.74, -0.58, -0.58, -0.67, 
##     -0.79, -0.77, -0.69, -0.8, -1.03, -0.83, -0.82, -0.69, -0.64, 
##     -0.55, -0.67, -0.72, -0.61, -0.43, -0.43, -0.66, -0.32, -0.02, 
##     0.02, 0.13, 0.27, 0.39, 0.47, 0.63, 1, 1.17, 1.43, 1.51, 
##     1.53, 1.56, 1.53, 1.46, 1.3, 0.79, 0.61, 0.48, 0.29, 0.21, 
##     0.18, 0.16, 0.13, -0.1, -0.21, -0.18, -0.06, -0.19, -0.43, 
##     -0.37, -0.39, -0.35, -0.26, -0.02, 0.02, -0.5, -1, -1, -1.01, 
##     -1.11, -1.09, -0.8, -0.83, -0.47, -0.55, -0.56, -0.56, -0.59, 
##     -0.63, -0.59, -0.53, -0.5, -0.43, -0.26, -0.43, -0.55, -0.79, 
##     -1, -1.06, -1.11, -1.57, -1.62, -1.7, -1.54, -1.46, 0.26, 
##     0.39, 0.55, 0.87, 1.08, 1.12, 1.03, 0.64, -0.83, -1.17, -1.12, 
##     -0.9, -0.75, -0.61, -0.51, -0.29, -0.02, -0.27, -0.5, -0.58, 
##     -0.71, -0.82, -0.95, -1.04, -1.04, -1.03, -1.08, -1.14, -0.93, 
##     -0.75, -0.66, -0.48, -0.11, -0.06, 0.05, 0.1, 0.32, 0.22, 
##     0.1, 0.35, 0.56, 0.77, 1.06, 1.27, 1.3, 1.38, -0.47, 0.08, 
##     0.24, 0.39, 0.93, 1.12, 1.3, 1.45, 1.56, 1.64, 1.2, 0.53, 
##     0.42, 0.19, -0.11, -0.24, -0.26, -0.29, -0.64, -0.77, -0.8, 
##     -0.67, -0.63, -0.66, -0.24, -0.1, -0.24, -0.22, -0.19, -1, 
##     -1.49, -1.54, -1.38, -0.71, -0.71, -0.98, -1.24, -1.57, -0.96, 
##     -0.63, -0.71, -0.64, -0.53, -0.27, -0.34, -0.66, -0.63, -0.42, 
##     -0.27, -0.1, -0.1, 0.02, 0.21, 0.27, 0.34, 0.35, 0.35, 0.37, 
##     0.42, 0.4, 0.37, 0.32, 0.29, 0.27, 0.27, 0.31, 0.31, 0.19, 
##     0.21, 0.19, 0.11, 0.13, 0.14, 0.14, 0.14, 0.16, 0.14, 0.14, 
##     0.13, 0.16, 0.14, 0.13, 0.16, 0.13, 0.13, 0.14, 0.1, 0.13, 
##     0.13, 0.14, -0.08, -0.06, 0.08, 0.34, 0.59, 0.45, 0.47, 0.59, 
##     0.71, 0.85, 1.04, 1.19, 1.2, 1.2, 1.24, 1.3, 1.36, 1.3, 1.41, 
##     1.4, 1.36, -0.45, -0.26, -0.43, -0.45, -0.42, -0.35, 0.13, 
##     0.32, 0.4, 0.45, 0.53, 0.59, 0.66, 0.69, 0.77, 0.88, 1.24, 
##     1.28, 1.43, 1.28, 1.12, 1.03, 1.2, 1.04, 0.61, 0.34, 0.34, 
##     0.21, 0.03, -0.16, -0.32, -0.43, -0.59, -0.45, -0.45, -0.47, 
##     -0.55, -0.5, -0.16, -0.18, -0.45, -0.59, -0.53, -0.45, -0.47, 
##     -0.35, 0.18, 0.26, 0.31, 0.53, 0.55, -0.29, -0.39, -0.51, 
##     -0.51, -0.53, -0.51, -0.8, -0.51, -0.39, -0.35, -0.19, -0.13, 
##     -0.16, -0.29, -0.42, -0.42, -0.03, -0.08, -0.24, -0.22, 0.26, 
##     0.39, 0.31, 0.45, 0.79, 0.82, 0.06, 0.14, 0.21, 0.22, 0.24, 
##     0.24, 0.21, 0.19, 0.19, 0.18, 0.16, 0.14, 0.13, 0.13, 0.11, 
##     0.13, 0.14, 0.11, 0.1, 0.11, 0.11, 0.11, 0.13, 0.14, 0.14, 
##     0.14, 0.13, 0.14, 0.16, 0.1, 0.1, 0.13, 0.13, 0.14, 0.14, 
##     0.11, 0.11, 0.11, 0.14, 0.14, 0.13, 0.13, 0.13, 0.13, 0.13, 
##     0.13, 0.13, 0.13, 0.13, 0.13, 0.13, 0.05, -0.22, -0.59, -0.71, 
##     -0.08, -0.05, -0.1, -0.19, -0.08, -0.06, -0.1, -0.06, -0.05, 
##     -0.05, 0, 0.16, 0.22, 0.32, 0.35, 0.39, 0.47, 0.55, 0.59, 
##     0.63, 0.42, 0.53, 0.58, 0.74, 0.8, 0.85, 0.95, 1.01, 1.12, 
##     1.17, 1.19, 1.17, 1.06, 0.96, 0.83, 0.56, 0.47, 0.29, 0.21, 
##     -0.11, -0.22, -0.63, -0.63, -0.42, -0.18, -0.22, 1.41, 1.43, 
##     1.36, 0.51, 0.37, 0.14, -0.4, -0.5, -0.47, -0.45, -0.11, 
##     -0.14, -0.31, -0.48, -0.83, -0.98, -1.04, -1.03, -0.98, -1.09, 
##     -1.16, -1.09, -1.04, -0.96, -0.66, -0.63, -0.85, -1.24, -1.12, 
##     -0.87, -1.32, -0.83, -1, -0.95, -0.82, -0.61, -0.24, -0.16, 
##     0.05, 0.13, 0.18, 0.29, 0.35, 0.63, 0.71, 0.88, 1, 1.12, 
##     1.22, 1.35, 1.17, 0.96, 0.79, -0.85, -0.96, -1.06, -0.79, 
##     -0.53, -0.27, -0.03, -0.03, 0.13, 0.21, 0.32, 0.61, 0.93, 
##     1.51, 1.46, 1.38, 0.82, 0.72, 0.48, 0.08, 0.03, -0.22, 1.35, 
##     1.19, 1, 0.82, 0.75, 0.61, 0.74, 0.83, 1.65, 0.96, -0.9, 
##     -1.91, -1.91, -1.51, -1.43, -0.98, -0.74, -0.34, -0.24, -0.42, 
##     -0.64, -0.79, -1.17, -1.28, -1.27, -1.28, -0.55, -0.51, -0.43, 
##     -0.43, -0.45, -0.34, -0.34, -0.34, -0.14, 0.22, 0.45, 0.72, 
##     0.92, 1.09, 1.17, 1.2, 1.3, 1.36, 1.53, 2.1, 2.34, 2.44, 
##     2.5, 1.96, -0.14, 0.03, 0.29, 0.31, 0.32, 0.31, 0.39, 0.47, 
##     0.67, 0.88, 1.06, 1.06, 1.01, 0.93, 0.87, 0.88, 0.93, 0.95, 
##     0.93, 0.9, 0.79, 0.18, -0.03, -0.18, 0.06, -0.11, -0.27, 
##     -0.42, -0.47, -0.72, -0.8, -0.87, -0.92, -0.98, -1.01, -0.98, 
##     -0.95, -0.87, -1.01, -1.11, -1.2, -1.09, -1.09, -0.93, -0.82, 
##     -0.55, -0.74, -0.64, -0.55, -0.42, -0.29, 0.92, 1.8, 2.07, 
##     2.17, 1.83, 1.59, 1.45, 0.95, 0.79, 0.67, 0.56, 0.43, 0.37, 
##     0.29, 0.1, -0.02, -0.39, -0.56, -0.71, -0.96, -1.01, -1.27, 
##     -1.01, -0.98, -1.04, -0.85, -0.77, -0.72, -0.67, -0.51, -0.61, 
##     -0.53, -0.37, -0.21, 0.08, 0.21, 0.37, 0.51, 0.58, 0.59, 
##     0.61, 0.58, 0.88, 1.25, 1.43, 2.18, 2.5, 2.63, 2.71, 2.73, 
##     1.04, 0.79, 0.37, 0.39, 0.02, -0.27, -0.43, -0.83, -1.38, 
##     -1.33, -1.27, -1.32, -0.5, -0.43, -0.42, -0.39, -0.32, -0.37, 
##     -0.48, -0.4, -0.31, -0.26, -0.24, -0.27, -0.14, 0.02), gyros_dumbbell_z = c(0, 
##     0, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, -0.02, -0.02, 0, 0, 
##     0, -0.02, -0.02, 0, 0, 0, 0, 0, 0, -0.02, 0, 0, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0, -0.02, 
##     0, 0, -0.02, 0.02, 0, 0, 0, 0, 0, 0, -0.02, -0.02, -0.02, 
##     -0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, -0.02, 0, -0.02, -0.03, -0.02, -0.02, -0.02, -0.02, 0, 
##     0, 0, -0.02, -0.02, -0.02, 0, -0.02, 0, -0.02, -0.02, 0, 
##     0, 0, 0, -0.02, 0, 0, 0, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 
##     0, -0.02, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0.02, 0, 0.02, 0.02, 0.03, 0.03, 0.03, 0.03, 0, -0.02, 
##     0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, -0.44, -0.03, -0.03, -0.05, -0.05, -0.08, 
##     -0.15, -0.2, -0.2, -0.2, -0.15, -0.11, -0.11, -0.07, -0.1, 
##     -0.03, -0.05, -0.03, -0.1, -0.15, -0.15, -0.18, -0.28, -0.34, 
##     -0.34, -0.02, -0.15, -0.39, -0.28, -0.18, -0.03, -0.15, -0.18, 
##     -0.2, -0.28, -0.36, -0.26, -0.3, -0.3, -0.26, -0.21, -0.13, 
##     -0.13, -0.16, -0.15, -0.05, -0.03, -0.08, -0.11, -0.11, -0.11, 
##     -0.25, -0.26, -0.28, -0.26, -0.23, -0.23, -0.2, -0.18, -0.2, 
##     -0.21, -0.21, -0.26, -0.23, -0.18, -0.36, -0.33, -0.25, -0.28, 
##     -0.26, -0.25, -0.25, -0.18, -0.16, -0.16, -0.2, -0.25, -0.25, 
##     -0.26, -0.3, -0.3, -0.34, -0.34, -0.3, -0.28, -0.3, -0.31, 
##     -0.31, -0.34, -0.34, -0.31, -0.28, -0.3, -0.31, -0.31, -0.25, 
##     -0.15, -0.15, -0.2, -0.31, -0.33, -0.38, -0.39, -0.41, -0.34, 
##     -0.23, -0.25, -0.25, -0.2, -0.2, -0.2, -0.2, -0.21, -0.23, 
##     -0.23, -0.21, -0.26, -0.25, -0.26, -0.26, -0.25, -0.25, -0.28, 
##     -0.26, -0.26, -0.28, -0.28, -0.25, -0.25, -0.26, -0.25, -0.25, 
##     -0.23, -0.25, -0.26, -0.28, -0.26, -0.26, -0.28, -0.26, -0.25, 
##     -0.26, -0.25, -0.28, -0.28, -0.28, -0.38, -0.36, -0.38, -0.43, 
##     -0.41, -0.34, -0.36, -0.23, -0.16, -0.11, -0.16, -0.23, -0.23, 
##     -0.25, -0.33, -0.36, -0.36, -0.36, -0.33, -0.34, -0.33, -0.21, 
##     -0.18, -0.18, -0.13, -0.34, -0.28, -0.31, -0.25, -0.1, -0.16, 
##     -0.18, -0.3, -0.48, -0.39, -0.41, -0.38, -0.41, -0.43, -0.44, 
##     -0.48, -0.43, -0.41, -0.48, -0.41, 0.02, 0, -0.08, -0.2, 
##     -0.18, -0.26, -0.26, -0.39, -0.31, -0.11, 0.3, 0.07, -0.07, 
##     0, 0, -0.08, -0.16, -0.21, -0.52, -0.48, -0.56, -0.67, -0.69, 
##     -0.67, -0.67, -0.64, -0.61, -0.59, -0.64, -0.67, -0.69, -0.64, 
##     -0.25, -0.25, -0.1, -0.02, -0.26, 0.25, 0.03, -0.11, -0.1, 
##     -0.02, 0.39, 0.43, 0.23, -0.1, -0.08, -0.03, -0.15, -0.23, 
##     -0.33, -0.44, -0.52, -0.46, -0.52, -0.66, -0.57, -0.62, -0.44, 
##     -0.43, -0.46, -0.46, -0.51, -0.51, -0.44, -0.54, -0.38, -0.34, 
##     -0.33, -0.26, -0.23, -0.26, -0.26, -0.25, -0.28, -0.31, -0.3, 
##     -0.2, -0.18, -0.28, -0.33, -0.28, -0.2, 0, 0.05, -0.07, -0.16, 
##     -0.16, -0.28, -0.43, -0.28, -0.18, -0.3, -0.25, -0.23, -0.16, 
##     -0.13, -0.02, -0.02, -0.23, -0.07, -0.07, -0.25, -0.25, -0.33, 
##     -0.26, -0.25, -0.46, -0.36, -0.16, -0.13, 0.1, 0.1, 0.07, 
##     0.1, 0.03, 0.05, 0, -0.13, -0.18, -0.08, -0.08, -0.21, -0.3, 
##     -0.07, -0.57, -0.59, -0.51, -0.43, -0.49, -0.46, -0.49, -0.57, 
##     -0.46, -0.46, -0.46, -0.43, -0.39, -0.36, -0.33, -0.28, -0.26, 
##     -0.36, -0.41, -0.49, -0.59, -0.51, -0.48, -0.21, -0.16, -0.05, 
##     0.07, 0.15, 0.16, -0.02, -0.03, -0.13, -0.23, -0.33, -0.28, 
##     -0.31, -0.34, -0.31, -0.34, -0.08, -0.15, -0.21, -0.23, -0.28, 
##     -0.3, -0.31, -0.34, -0.36, -0.31, -0.38, -0.34, -0.39, -0.23, 
##     -0.2, -0.2, -0.26, -0.36, -0.23, -0.23, -0.23, -0.23, -0.21, 
##     -0.16, -0.11, -0.3, -0.39, -0.49, -0.51, -0.52, -0.44, -0.34, 
##     -0.02, -0.02, -0.15, -0.2, -0.16, -0.2, -0.18, -0.28, -0.25, 
##     -0.18, -0.2, -0.21, -0.23, -0.21, -0.16, -0.16, -0.11, -0.08, 
##     -0.05, -0.02, -0.15, -0.33, -0.31, -0.23, -0.25, -0.3, -0.34, 
##     -0.28, -0.31, -0.39, -0.46, -0.44, -0.44, -0.46, -0.39, -0.28, 
##     -0.23, -0.2, -0.15, -0.05, 0, 0, -0.07, -0.18, -0.15, -0.23, 
##     -0.23, -0.38, -0.43, -0.54, -0.57, -0.34, -0.51, -0.33, -0.05, 
##     -0.03, 0.02, -0.11, -0.07, -0.1, -0.36, -0.3, -0.23, -0.3, 
##     -0.21, -0.18, -0.11, -0.11, -0.16, -0.21, -0.21, -0.21, -0.23, 
##     -0.3, -0.51, -0.57, -0.49, -0.48, -0.34, -0.34, -0.44, -0.08, 
##     -0.28, -0.41, -0.1, -0.15, -0.02, -0.03, -0.28, -0.3, -0.54, 
##     -0.57, -0.62, -0.66, -0.59, -0.41, -0.44, -0.44, -0.39, -0.1, 
##     -0.1, -0.28, -0.33, -0.23, -0.2, -0.2, -0.18, -0.26, -0.56, 
##     -0.54, -0.07, 0.07, 0.02, -0.13, -0.11, -0.02, -0.13, -0.3, 
##     -0.48, -0.07, -0.21, -0.16, -0.1, -0.16, -0.34, -0.28, -0.31, 
##     -0.34, -0.39, -0.62, -0.56, -0.56, -0.23, -0.02, -0.28, -0.23, 
##     0.11, -0.13, -0.39, -0.28, -0.23, -0.48, -0.38, -0.18, -0.13, 
##     0.02, 0.07, 0.07, -0.05, -0.26, -0.26, -0.28, -0.25, -0.2, 
##     -0.16, -0.05, -0.08, -0.11, -0.1, -0.11, -0.1, -0.11, -0.13, 
##     -0.15, -0.1, -0.1, -0.11, -0.11, -0.13, -0.13, -0.15, -0.15, 
##     -0.16, -0.16, -0.16, -0.15, -0.15, -0.13, -0.16, -0.13, -0.15, 
##     -0.16, -0.2, -0.2, -0.2, -0.21, -0.25, -0.25, -0.25, -0.18, 
##     -0.16, -0.13, -0.07, -0.08, -0.08, -0.07, -0.05, -0.03, 0, 
##     0.15, 0, -0.03, -0.03, -0.05, -0.05, 0, 0.07, 0.1, 0.1, 0.05, 
##     0.02, 0.02, 0.05, 0.05, -0.03, -0.07, -0.13, -0.18, -0.25, 
##     -0.25, -0.26, -0.28, -0.26, -0.26, -0.25, -0.18, -0.18, -0.16, 
##     -0.16, -0.15, -0.1, -0.11, -0.16, -0.2, -0.18, -0.02, 0.02, 
##     0.03, 0.02, 0.05, 0.02, 0.02, 0.08, 0.07, 0.02, 0.03, 0.03, 
##     0.02, 0.02, 0, -0.02, -0.02, -0.02, -0.07, -0.05, -0.05, 
##     0.03, 0.16, 0.1, 0.1, -0.02, -0.03, -0.11, -0.08, -0.07, 
##     0, -0.02, -0.03, -0.1, -0.13, -0.15, -0.13, -0.11, -0.11, 
##     -0.11, -0.1, -0.08, -0.1, -0.11, -0.13, -0.13, -0.15, -0.15, 
##     -0.15, -0.1, -0.11, -0.15, -0.15, -0.13, -0.08, -0.11, -0.1, 
##     -0.11, -0.07, -0.05, -0.1, -0.11, -0.13, -0.15, -0.13, -0.13, 
##     -0.11, -0.08, -0.13, -0.11, -0.1, -0.1, -0.08, -0.1, -0.11, 
##     -0.11, -0.15, -0.15, -0.16, -0.13, -0.15, -0.1, -0.11, -0.15, 
##     -0.1, -0.03, -0.03, -0.11, -0.05, -0.05, -0.07, -0.07, -0.05, 
##     -0.07, -0.1, -0.11, -0.11, -0.08, -0.15, -0.13, -0.08, -0.03, 
##     -0.03, -0.08, -0.16, -0.16, -0.13, -0.15, -0.15, -0.13, -0.11, 
##     -0.1, -0.16, -0.2, -0.08, -0.05, -0.07, -0.2, -0.18, -0.16, 
##     -0.1, -0.07, 0, 0.02, 0.02, -0.03, -0.05, -0.11, -0.07, -0.05, 
##     -0.02, -0.02, 0.02, 0.05, 0.15, 0.21, 0.21, 0.2, 0.18, 0.21, 
##     0.28, 0.31, 0.33, 0.31, 0.26, 0.23, -0.08, 0.02, 0.11, 0.25, 
##     0.28, 0.18, -0.15, -0.15, -0.05, -0.07, -0.05, 0, -0.03, 
##     -0.13, -0.1, -0.07, -0.08, -0.07, -0.1, -0.08, -0.08, -0.05, 
##     -0.05, -0.1, -0.08, -0.15, -0.16, -0.15, -0.13, -0.18, -0.25, 
##     -0.23, -0.13, -0.02, 0.03, 0.07, 0.02, 0.03, -0.02, -0.05, 
##     -0.07, -0.05, -0.11, -0.1, -0.08, -0.08, -0.1, -0.21, -0.25, 
##     -0.2, -0.08, -0.1, -0.13, -0.13, -0.13, -0.13, -0.11, -0.1, 
##     -0.05, -0.03, -0.03, -0.08, -0.08, -0.16, -0.16, -0.13, -0.08, 
##     -0.08, -0.15, -0.11, -0.08, -0.07, -0.08, -0.1, -0.11, -0.1, 
##     -0.08, -0.1, -0.15, -0.16, -0.16, -0.16, -0.15, -0.13, -0.16, 
##     -0.15, -0.13, -0.13, -0.13, -0.15, -0.15, -0.13, -0.2, -0.21, 
##     -0.16, -0.13, -0.11, -0.15, -0.15, -0.11, -0.02, 0.05, 0.36, 
##     0.36, 0.3, 0.15, -0.25, -0.26, -0.3, -0.38, -0.44, -0.79, 
##     -0.67, -0.08, -0.08, -0.1, -0.13, -0.15, -0.15, -0.16, -0.16, 
##     -0.18, -0.18, -0.16, -0.16, -0.16, -0.16, -0.18, -0.13, -0.11, 
##     -0.13, -0.11, -0.08, -0.08, -0.03, -0.07, -0.16, -0.03, 0.02, 
##     0.11, 0.13, 0.08, 0.07, 0.05, -0.02, 0.05, -0.23, -0.21, 
##     -0.15, -0.07, -0.08, -0.2, -0.23, -0.23, -0.21, -0.21, -0.23, 
##     -0.31, -0.31, -0.31, -0.31, -0.3, -0.15, -0.2, -0.38, -0.38, 
##     -0.39, -0.41, -0.41, -0.38, -0.36, -0.44, -0.43, -0.33, -0.3, 
##     -0.25, -0.23, -0.21, -0.21, -0.28, -0.28, -0.18, -0.15, -0.1, 
##     -0.03, -0.02, -0.02, -0.02, -0.02, 0.02, 0.03, -0.02, -0.03, 
##     0, 0, 0.03, 0.03, 0.03, 0.05, 0.03, 0.02, 0, 0.02, 0.03, 
##     0.08, 0.07, 0.1, 0.11, 0.16, 0.2, 0.23, 0.2, 0.15, -0.05, 
##     -0.07, -0.07, -0.13, -0.41, -0.3, -0.11, -0.03, 0.07, 0.1, 
##     -0.05, -0.08, -0.02, 0.07, 0.15, 0.15, 0.1, 0.08, 0.08, 0.05, 
##     0.07, 0.3, 0.11, 0.05, -0.03, 0.18, -0.1, -0.28, -0.43, -0.33, 
##     -0.25, -0.23, -0.18, -0.1, -0.15, -0.18, -0.05, -0.13, -0.13, 
##     -0.15, -0.21, -0.25, -0.21, -0.1, -0.23, -0.3, -0.39, -0.34, 
##     -0.25, -0.16, 0.02, 0.13, 0.16, 0.21, 0.13, 0.08, -0.05, 
##     -0.11, -0.25, -0.23, -0.21, -0.21, -0.1, -0.07, -0.08, -0.11, 
##     -0.1, -0.07, -0.08, -0.15, 0.21, 0.16, 0.1, 0.08, 0.1, 0.15, 
##     0.18, 0.26, 0.2, 0.18, 0.16, 0.11, 0.08, 0.02, -0.08, -0.05, 
##     0.02, 0.02, -0.03, -0.1, -0.16, -0.16, -0.2, -0.21, -0.25, 
##     -0.25, -0.11, -0.1, -0.08, -0.11, -0.08, -0.1, -0.13, -0.13, 
##     -0.11, -0.2, -0.36, -0.39, -0.38, -0.26, -0.21, -0.18, -0.16, 
##     -0.05, 0.03, 0.03, 0.02, 0.05, 0.03, 0.07, 0.02, -0.05, 0.02, 
##     0, -0.07, -0.13, -0.18, -0.21, -0.23, -0.23, -0.25, -0.25, 
##     -0.21, -0.21, -0.21, -0.18, -0.16, -0.15, -0.18, -0.1, -0.1, 
##     -0.05, -0.1, -0.13, 0.11, 0.1, 0.11, -0.05, -0.15, -0.13, 
##     -0.1, 0.13, 0.08, 0.1, 0.07, -0.02, -0.25, -0.28, -0.16, 
##     -0.13, -0.18, -0.2, -0.16, -0.15, -0.16, -0.21, -0.16, -0.1, 
##     -0.03, 0, -0.05, -0.21, -0.16, -0.13, -0.11, -0.13, -0.25, 
##     -0.33, -0.34, -0.26, -0.13, -0.11, -0.11, -0.03, 0.08, 0.05, 
##     0.03, 0.03, -0.1, -0.15, -0.18, -0.21, -0.28, -0.25, -0.26, 
##     -0.11, -0.07, -0.13, -0.16, -0.16, -0.13, -0.1, -0.13, -0.2, 
##     -0.1, -0.08, -0.03, -0.16, 0, 0.02, 0.02, 0, -0.02, -0.02, 
##     -0.05, -0.03, 0.2, 0.11, 0.07, 0.07, -0.21, -0.18, -0.15, 
##     0.03, 0.1, 0.08, 0.08, 0.15, 0.23, 0.25, 0.15, -0.23, -0.15, 
##     -0.05, -0.07, -0.15, -0.2, -0.21, -0.21, -0.11, -0.18, -0.18, 
##     -0.05, -0.05, -0.05, -0.08, -0.16, -0.3, -0.48, -0.39, -0.28, 
##     -0.08, 0.02, 0.07, 0.02, -0.1, -0.13, 0.03, 0.13, 0.1, -0.02, 
##     -0.08, -0.1, -0.1, -0.15, -0.26, -0.13, -0.1, -0.16, -0.2, 
##     -0.16, -0.18, -0.18, -0.16, -0.21, -0.2, -0.13, -0.13, -0.13, 
##     -0.13, -0.3, -0.28, -0.26, -0.28, -0.3, -0.15, -0.16, -0.1, 
##     0, 0.03, 0.05, -0.02, 0.07, -0.03, -0.02, -0.08, -0.11, -0.28, 
##     -0.21, -0.23, -0.28, -0.15, -0.07, 0.03, 0.08, 0.02, -0.2, 
##     -0.3, -0.34, 0, 0.08, 0.05, 0.03, -0.03, -0.07, -0.2, -0.25, 
##     -0.25, -0.16, -0.15, -0.13, -0.11, -0.11, -0.15, -0.13, -0.1, 
##     -0.1, 0.05, 0.18, 0.25, 0.03, -0.31, -0.39, -0.41, -0.34, 
##     -0.25, 0.03, 0.11, 0.23, 0.25, 0.18, 0.44, 0.33, 0.23, 0.15, 
##     -0.11, -0.26, -0.28, -0.28, -0.23, -0.21, -0.21, -0.18, -0.18, 
##     -0.23, -0.16, -0.15, -0.16, -0.16, -0.11, -0.1, -0.11, -0.13, 
##     -0.11, -0.21, -0.26, -0.02, -0.07, -0.15, -0.15, -0.16, -0.15, 
##     -0.08, -0.28, -0.36, -0.36, -0.1, -0.02, -0.02, 0, 0.05, 
##     0.13, 0.25, 0.23, 0.2, 0.11, -0.2, -0.2, -0.16, -0.2, -0.21, 
##     -0.23, -0.18, -0.11, -0.13, -0.2, -0.21, -0.23, -0.2, -0.21, 
##     -0.16, -0.08, -0.11, -0.15, -0.1, -0.1, -0.1, -0.08, -0.1, 
##     -0.11, -0.1, -0.11, -0.13, -0.15, -0.18, -0.18, -0.16, -0.15, 
##     -0.11, -0.1, -0.13, -0.15, -0.02, -0.02, -0.03, -0.03, -0.02, 
##     -0.03, 0, -0.05, 0.03, 0.02, 0.03, -0.05, -0.07, -0.08, -0.07, 
##     -0.03, -0.02, 0.03, 0.07, 0.07, -0.1, -0.1, -0.18, -0.18, 
##     -0.15, -0.11, 0.11, 0.05, -0.07, -0.23, -0.3, -0.34, -0.16, 
##     -0.15, -0.16, -0.13, -0.13, -0.15, -0.18, -0.16, -0.16, -0.16, 
##     -0.18, -0.16, -0.15, -0.16, -0.07, -0.07, 0, 0.05, 0.05, 
##     0.05, -0.02, -0.07, -0.08, -0.13, -0.18, -0.15, -0.15, -0.16, 
##     -0.18, -0.16, -0.15, -0.2, -0.08, -0.08, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.07, 0.03, 
##     0.08, 0.16, 0.21, 0.16, 0.11, 0.08, -0.13, -0.34, -0.38, 
##     -0.66, -0.66, -0.71, -0.75, -0.79, -0.62, -0.57, -0.36, -0.28, 
##     -0.07, -0.07, -0.18, -0.16, -0.25, -0.07, -0.3, -0.21, -0.41, 
##     -0.3, -0.16, -0.33, -0.33, -0.36, -0.31, -0.36, -0.44, -0.41, 
##     -0.36, -0.23, -0.13, -0.13, -0.13, -0.18, -0.2, -0.21, -0.23, 
##     -0.16, -0.15, -0.16, -0.15, -0.13, -0.11, -0.2, 0, 0.05, 
##     0.1, 0.23, 0.23, 0.16, 0.13, -0.02, -0.16, -0.18, -0.2, -0.21, 
##     -0.2, -0.15, -0.13, -0.15, -0.16, -0.08, -0.05, -0.07, -0.1, 
##     -0.1, -0.21, -0.3, -0.39, -0.49, -0.49, -0.36, -0.54, -0.54, 
##     -0.52, -0.49, -0.62, -0.44, -0.43, -0.38, -0.62, -0.44, -0.41, 
##     -0.15, -0.48, -0.49, -0.3, -0.23, -0.41, -0.36, -0.28, -0.28, 
##     -0.16, -0.28, -0.25, -0.16, -0.18, -0.25, -0.26, -0.3, -0.36, 
##     -0.38, -0.2, -0.23, -0.2, -0.18, -0.15, -0.15, -0.15, -0.28, 
##     -0.26, -0.13, -0.11, -0.08, -0.07, 0.03, 0.11, 0.11, 0.08, 
##     0.13, 0.07, 0.1, 0.11, 0.08, 0.02, 0.02, -0.03, -0.07, -0.15, 
##     -0.25, -0.25, -0.03, -0.11, 0.13, -0.43, -0.34, -0.46, -0.46, 
##     -0.49, -0.44, -0.44, -0.49, -0.36, -0.3, -0.33, -0.25, -0.13, 
##     -0.11, -0.1, -0.1, -0.07, -0.05, -0.07, -0.21, -0.21, -0.18, 
##     -0.15, -0.1, -0.1, -0.03, 0.07, 0.2, 0.16, 0.23, 0.2, 0.08, 
##     0.02, -0.07, -0.07, -0.21, -0.23, -0.26, -0.18, -0.13, -0.15, 
##     -0.21, -0.23, -0.28, -0.3, -0.43, -0.54, -0.49, -0.41, -0.46, 
##     -0.46, -0.43, -0.41, -0.34, -0.33, -0.31, -0.34, -0.36, -0.25, 
##     -0.23, -0.2, -0.15, -0.11, -0.15, -0.15, -0.13, -0.11, -0.1, 
##     -0.15, -0.3, -0.41, -0.38, -0.16, -0.02, -0.08, -0.05, 0.05, 
##     0.02, 0.05, -0.1, -0.25, -0.15, -0.08, -0.1, -0.16, -0.15, 
##     -0.15, -0.16, -0.25, -0.3, -0.46, -0.31, -0.39, -0.43, -0.31, 
##     -0.34, -0.36, -0.3, -0.33, -0.28, -0.44, -0.87, -0.2, -0.16, 
##     -0.3, -0.46, -0.49, -0.51, -0.39, -0.38, -0.56, -0.52, -0.41, 
##     -0.28, -0.18, -0.16, -0.11, -0.25, -0.28, -0.26, -0.23, -0.39, 
##     -0.11, -0.38, -0.23, -0.36, -0.21, -0.3, -0.3, -0.28, -0.23, 
##     -0.25, -0.34, -0.3, -0.23, -0.44, -0.48, -0.3, -0.3, -0.16, 
##     -0.11, -0.08, -0.05, -0.05, -0.08, -0.1, 0.03, 0.08, 0.15, 
##     0.08, -0.15, -0.1, -0.08, -0.08, -0.18, -0.2, -0.23, -0.18, 
##     -0.15, -0.15, -0.2, -0.33, -0.34, -0.3, -0.34, -0.36, -0.25, 
##     -0.36, -0.38, -0.43, -0.38, -0.38, -0.33, -0.52, -0.23, -0.08, 
##     0.02, -0.13, -0.08, -0.11, -0.11, -0.23, -0.21, -0.2, -0.34, 
##     -0.11, -0.1, -0.21, -0.18, -0.11, -0.08, -0.13, -0.16, -0.25, 
##     -0.33, -0.41, -0.33, -0.18, -0.18, -0.43, -0.48, -0.43, -0.36, 
##     -0.3, -0.3, -0.34, -0.3, -0.21, -0.13, -0.03, 0.02, -0.08, 
##     0, -0.02, -0.03, -0.02, -0.11, -0.21, -0.1, -0.16, -0.26, 
##     -0.33, -0.15, -0.08, -0.13, -0.05, 0.02, 0, -0.2, -0.38, 
##     -0.41, -0.44, -0.44, -0.36, -0.33, -0.31, -0.31, -0.36, -0.38, 
##     -0.38, -0.2, -0.26, -0.41, -0.44, -0.43, -0.41, -0.26, -0.13, 
##     -0.05, 0.03, 0.38, 0.52, 0.28, 0.25, 0.23, 0.13, 0.08, 0.1, 
##     0.05, 0, -0.21, -0.33, -0.38, -0.43, -0.44, -0.46, -0.49, 
##     -0.54, -0.54, -0.48, -0.26, -0.26, -0.26, -0.26, -0.25, -0.23, 
##     -0.21, -0.2, -0.2, -0.18, -0.26, -0.26, -0.26, -0.26, -0.28, 
##     -0.3, -0.28, -0.28, -0.28, -0.28, -0.26, -0.26, -0.25, -0.25, 
##     -0.25, -0.25, -0.26, -0.28, -0.3, -0.28, -0.25, -0.21, -0.23, 
##     -0.25, -0.23, -0.23, -0.21, -0.21, -0.23, -0.33, -0.38, -0.33, 
##     -0.18, -0.1, -0.13, -0.13, -0.18, -0.18, -0.2, -0.21, -0.28, 
##     -0.31, -0.26, -0.21, -0.21, -0.25, -0.26, 0.02, 0.02, 0.3, 
##     0.41, 0.08, -0.13, -0.05, 0.13, -0.03, -0.15, -0.33, -0.3, 
##     -0.38, -0.23, -0.03, -0.03, -0.03, -0.03, 0.3, 0.23, 0, -0.26, 
##     -0.21, -0.62, -0.44, -0.38, -0.21, -0.11, -0.3, -0.38, -0.69, 
##     -0.56, -0.38, -0.56, -0.66, -0.57, -0.62, -0.61, -0.77, -0.87, 
##     -0.72, -0.64, -0.33, 0.02, 0.25, 0.23, -0.38, -0.46, -0.33, 
##     -0.34, -0.33, -0.34, -0.31, -0.28, -0.25, -0.2, -0.11, -0.05, 
##     0.41, 0.54, 0.62, 0.72, 0.48, 0.48, 0.48, 0.39, 0.23, 0.13, 
##     0.03, -0.3, -0.28, -0.38, -0.38, -0.38, -0.36, -0.41, -0.41, 
##     -0.39, -0.33, -0.33, -0.34, -0.34, -0.34, -0.34, -0.36, -0.36, 
##     -0.39, -0.39, -0.34, -0.38, -0.38, -0.39, -0.39, -0.39, -0.39, 
##     -0.39, -0.38, -0.39, -0.38, -0.39, -0.39, -0.36, -0.38, -0.38, 
##     -0.38, -0.34, -0.34, -0.33, -0.34, -0.38, -0.36, -0.36, -0.39, 
##     -0.41, -0.41, -0.39, -0.41, -0.43, -0.33, -0.3, -0.28, -0.31, 
##     -0.31, -0.31, -0.31, -0.34, -0.33, -0.36, -0.34, -0.33, -0.33, 
##     -0.34, -0.34, -0.33, -0.33, -0.33, -0.34, -0.36, -0.38, -0.33, 
##     -0.34, -0.34, -0.34, -0.34, -0.34, -0.36, -0.34, -0.34, -0.34, 
##     -0.36, -0.36, -0.36, -0.38, -0.39, -0.39, -0.38, -0.38, -0.38, 
##     -0.38, -0.39, -0.41, -0.43, -0.43, -0.38, -0.36, -0.33, -0.36, 
##     -0.38, -0.38, -0.39, -0.41, -0.43, -0.41, -0.39, -0.38, -0.34, 
##     -0.33, -0.33, -0.38, -0.38, -0.36, -0.36, -0.38, -0.39, -0.38, 
##     -0.36, -0.36, -0.36, -0.39, -0.39, -0.36, -0.38, -0.38, -0.38, 
##     -0.36, -0.36, -0.36, -0.36, -0.38, -0.36, -0.38, -0.36, -0.34, 
##     -0.33, -0.34, -0.33, -0.33, -0.34, -0.36, -0.36, -0.36, -0.34, 
##     -0.33, -0.34, -0.34, -0.38, -0.36, -0.38, -0.39, -0.39, -0.39, 
##     -0.36, -0.36, -0.36, -0.36, -0.36, -0.36, -0.34, -0.36, -0.38, 
##     -0.43, -0.39, -0.36, -0.36, -0.34, -0.34, -0.36, -0.38, -0.38, 
##     -0.36, -0.3, -0.33, -0.34, -0.38, -0.39, -0.41, -0.41, -0.33, 
##     -0.38, -0.39, -0.39, -0.39, -0.36, -0.38, -0.39, -0.41, -0.39, 
##     -0.39, -0.36, -0.36, -0.38, -0.36, -0.36, -0.34, -0.31, -0.31, 
##     -0.34, -0.38, -0.39, -0.41, -0.44, -0.46, -0.36, -0.31, -0.31, 
##     -0.34, -0.46, -0.38, -0.36, -0.34, -0.33, -0.34, -0.34, -0.36, 
##     -0.36, -0.34, -0.36, -0.41, -0.43, -0.56, -0.46, -0.41, -0.39, 
##     -0.23, -0.28, -0.33, -0.38, -0.46, -0.41, -0.44, -0.48, -0.56, 
##     -0.72, -0.84, -0.72, -0.67, -0.64, -0.52, -0.46, -0.3, -0.34, 
##     -0.33, -0.34, -0.33, -0.41, -0.43, -0.34, -0.28, -0.51, -0.43, 
##     -0.36, -0.36, -0.41, -0.36, -0.41, -0.38, -0.38, -0.38, -0.41, 
##     -0.39, -0.34, -0.41, -0.41, -0.43, -0.33, -0.36, -0.48, -0.49, 
##     -0.52, -0.56, -0.54, -0.43, -0.43, -0.46, -0.49, -0.49, -0.49, 
##     -0.49, -0.43, -0.41, -0.38, -0.39, -0.41, -0.39, -0.39, -0.38, 
##     -0.38, -0.43, -0.38, -0.38, -0.36, -0.33, -0.34, -0.34, -0.34, 
##     -0.21, -0.21, -0.3, -0.52, -0.56, -0.43, -0.34, -0.34, -0.38, 
##     -0.38, -0.33, -0.26, -0.3, -0.33, -0.33, -0.33, -0.33, -0.31, 
##     -0.36, -0.36, -0.34, -0.3, -0.3, -0.31, -0.33, -0.31, -0.33, 
##     -0.33, -0.31, -0.34, -0.38, -0.39, -0.39, -0.36, -0.38, -0.38, 
##     -0.36, -0.36, -0.36, -0.38, -0.36, -0.36, -0.38, -0.36, -0.34, 
##     -0.34, -0.34, -0.31, -0.36, -0.46, -0.51, -0.49, -0.39, -0.33, 
##     -0.34, -0.41, -0.44, -0.46, 0, 0, 0.03, 0.05, 0.05, 0.05, 
##     0.03, -0.15, -0.15, -0.15, -0.13, -0.11, -0.11, -0.08, -0.02, 
##     0.1, 0.11, 0.15, 0.16, 0.13, 0.08, 0.21, 0.15, 0.3, 0.26, 
##     0.25, 0.18, 0.16, 0.28, 0.39, 0.26, 0.08, -0.16, -0.15, -0.16, 
##     -0.11, -0.11, -0.08, -0.08, -0.05, 0.15, -0.15, -0.15, -0.21, 
##     -0.26, -0.26, -0.2, -0.16, 0, 0.16, 0.13, -0.02, -0.1, -0.11, 
##     -0.1, -0.18, -0.11, -0.02, 0.02, 0.1, 0.05, 0.02, 0.03, 0.02, 
##     -0.03, -0.08, -0.11, -0.13, -0.21, -0.26, -0.26, -0.26, -0.26, 
##     -0.23, -0.21, -0.18, -0.15, -0.15, -0.05, 0.02, -0.02, -0.05, 
##     -0.07, -0.13, -0.15, -0.15, -0.1, -0.07, 0, -0.03, 0.03, 
##     0.05, 0.03, 0.1, 0.1, 0.11, 0.08, 0.1, 0.21, 0.03, 0.16, 
##     0.18, 0.11, 0.08, 0.2, 0.21, 0.15, 0.1, 0.18, 0.13, 0.1, 
##     0.11, 0.11, 0.08, 0.21, 0.41, 0, -0.2, -0.23, -0.2, -0.13, 
##     -0.11, -0.2, -0.15, 0.05, -0.15, -0.1, -0.07, -0.03, -0.07, 
##     -0.13, -0.11, -0.11, -0.08, 0.02, 0.07, 0.13, 0.11, 0.05, 
##     0.02, -0.02, -0.1, -0.16, -0.33, -0.31, -0.2, -0.18, -0.13, 
##     -0.13, -0.1, -0.1, -0.15, -0.11, -0.08, -0.07, -0.13, -0.16, 
##     -0.13, 0, -0.02, 0.08, 0.25, 0.16, 0.1, 0.23, 0.2, 0.23, 
##     0.31, 0.21, 0.23, 0.28, 0.05, -0.07, 0.39, 0.33, 0.33, 0.36, 
##     0.39, -0.03, -0.21, -0.23, -0.2, 0.02, -0.08, -0.2, -0.2, 
##     -0.15, -0.13, -0.15, -0.16, -0.07, -0.07, -0.03, -0.1, -0.08, 
##     -0.11, -0.1, -0.05, -0.03, 0.03, 0, -0.1, -0.16, -0.21, -0.34, 
##     -0.28, -0.31, -0.33, -0.25, -0.25, -0.23, -0.21, -0.21, -0.16, 
##     -0.07, -0.02, 0.02, -0.1, -0.13, -0.18, -0.2, -0.07, -0.11, 
##     -0.07, 0.05, 0.03, 0.05, 0.08, 0.13, 0.1, 0.16, 0.1, 0.13, 
##     0.05, 0.16, 0.15, 0.11, 0.38, 0.56, 0.39, 0.25, 0.08, 0.03, 
##     0.38, 0.25, 0.13, -0.07, -0.28, -0.15, -0.02, -0.3, -0.33, 
##     -0.33, -0.31, -0.23, -0.13, -0.08, -0.05, -0.03, 0.03, 0.02, 
##     0.02, 0.15, 0.07, 0.1, 0.23, -0.2, -0.36, -0.41, -0.43, -0.41, 
##     -0.36, -0.3, -0.23, -0.16, -0.02, 0.02, 0.05, -0.05, -0.18, 
##     -0.34, -0.31, -0.3, -0.33, 0.3, 0.31, 0.36, 0.49, 0.3, 0.41, 
##     0.41, 0.46, 0.31, 0.2, 0.2, 0.13, 0.13, -0.11, 0.03, 0.16, 
##     0.36, 0.49, 0.44, 0.31, 0.11, -0.26, -0.43, -0.43, -0.28, 
##     -0.26, -0.03, 0.25, 0.08, -0.07, -0.05, -0.05, -0.02, 0.02, 
##     0.02, 0.1, 0, -0.08, -0.11, -0.18, -0.23, -0.21, -0.18, -0.15, 
##     -0.11, -0.07, -0.13, -0.13, -0.23, -0.26, -0.1, 0, -0.03, 
##     0.05, 0.08, 0.18, 0.2, 0.26, 0.43, 0.23, 0.3, 0.33, 0.16, 
##     0.05, 0.03, 0.15, 0.02, 0.08, 0.15, 0.05, -0.02, 0.05, 0.1, 
##     0.16, 0.03, 0.07, 0.38, 0.1, -0.02, -0.13, -0.13, -0.03, 
##     0.02, 0.31, 0.05, -0.13, -0.16, -0.03, 0.02, 0.07, 0.11, 
##     0.05, 0, -0.1, -0.33, -0.41, -0.31, -0.41, -0.36, -0.26, 
##     -0.21, -0.18, -0.28, -0.23, -0.18, -0.13, -0.1, -0.03, 0, 
##     -0.03, -0.03, 0.08, 0.11, 0.08, 0.11, 0.1, 0.18, 0.13, 0.15, 
##     0.3, 0.1, 0.13, 0.08, -0.02, -0.11, 0.11, 0.1, 0.13, -0.1, 
##     -0.02, 0.08, -0.13, -0.18, -0.15, -0.11, -0.16, -0.15, -0.1, 
##     -0.11, 0, 0.15, 0.23, 0.18, 0.07, -0.07, -0.1, -0.08, -0.02, 
##     0.03, 0.07, 0.02, 0, 0.15, 0.23, 0.1, 0.03, -0.15, -0.46, 
##     -0.46, -0.46, -0.33, -0.16, 0.07, -0.02, -0.02, 0.16, 0.1, 
##     0.02, -0.03, -0.11, 0.13, 0.1, 0.05, -0.05, -0.07, 0, 0.13, 
##     0.1, -0.18, -0.2, -0.31, -0.38, -0.44, -0.3, -0.28, -0.28, 
##     -0.26, -0.16, -0.16, -0.2, -0.15, -0.13, -0.03, -0.02, -0.08, 
##     0.02, 0.08, 0.2, 0.1, 0.03, 0.11, 0.13, 0.07, 0.11, 0.15, 
##     0.18, 0.39, 0.34, 0.23, 0.25, 0.28, 0.08, -0.21, -0.02, 0.18, 
##     0.08, 0.2, 0.16, 0.1, -0.18, -0.36, -0.41, -0.36, -0.38, 
##     -0.36, -0.28, -0.05, 0.15, 0.16, 0.1, 0.03, -0.07, -0.1, 
##     -0.05, 0.02, 0.05, 0.08, 0.05, 0.07, 0.05, 0.05, 0.05, 0.08, 
##     0.1, 0.05, -0.03, -0.25, -0.36, -0.36, -0.33, -0.33, -0.31, 
##     -0.3, -0.25, -0.26, -0.3, -0.3, -0.23, -0.18, -0.1, -0.07, 
##     0.03, 0.08, 0.08, 0, -0.08, 0, 0, 0.03, 0.11, -0.08, 0.38, 
##     0.2, 0.41, 0.23, 0.43, 0.64, 0.52, 0.3, 0.36, 0.11, 0.05, 
##     -0.03, 0.07, 0.02, -0.02, -0.07, -0.02, -0.11, -0.08, -0.1, 
##     -0.15, -0.15, -0.13, -0.26, -0.15, -0.11, 0, 0.03, 0.07, 
##     0.05, 0.11, 0.08, 0.05, 0.03, 0.02, 0.02, 0.05, 0.05, 0.03, 
##     0.02, -0.02, 0, -0.02, -0.03, -0.03, -0.02, 0.02, -0.02, 
##     -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.03, 0, -0.03, -0.03, -0.02, 0, -0.02, -0.03, -0.03, 
##     -0.02, -0.05, -0.05, -0.03, -0.03, -0.03, -0.07, -0.03, -0.07, 
##     0, 0, -0.03, -0.07, 0, -0.03, -0.02, -0.38, -0.43, -0.44, 
##     -0.38, -0.38, -0.33, -0.28, -0.34, -0.36, -0.33, -0.33, -0.41, 
##     -0.41, -0.39, -0.38, -0.34, -0.3, -0.26, -0.28, -0.31, -0.39, 
##     -0.39, -0.34, -0.34, -0.48, -0.44, -0.26, -0.36, -0.43, -0.44, 
##     -0.43, -0.39, -0.3, -0.25, -0.28, -0.36, -0.44, -0.44, -0.43, 
##     -0.41, -0.36, -0.3, -0.28, -0.39, -0.39, -0.34, -0.31, -0.34, 
##     -0.36, -0.31, -0.33, -0.34, -0.38, -0.38, -0.36, -0.36, -0.36, 
##     -0.36, -0.38, -0.38, -0.38, -0.36, -0.36, -0.38, -0.38, -0.38, 
##     -0.38, -0.39, -0.41, -0.39, -0.41, -0.38, -0.38, -0.38, -0.38, 
##     -0.39, -0.34, -0.36, -0.38, -0.36, -0.34, -0.36, -0.43, -0.33, 
##     -0.3, -0.31, -0.36, -0.34, -0.34, -0.36, -0.34, -0.34, -0.36, 
##     -0.38, -0.39, -0.34, -0.31, -0.31, -0.38, -0.46, -0.51, -0.49, 
##     -0.34, -0.38, -0.38, -0.38, -0.31, -0.33, -0.36, -0.39, -0.38, 
##     -0.39, -0.34, -0.34, -0.36, -0.36, -0.34, -0.34, -0.36, -0.36, 
##     -0.38, -0.34, -0.33, -0.36, -0.38, -0.36, -0.36, -0.38, -0.38, 
##     -0.36, -0.38, -0.36, -0.36, -0.36, -0.38, -0.38, -0.38, -0.34, 
##     -0.36, -0.34, -0.34, -0.36, -0.33, -0.33, -0.34, -0.36, -0.38, 
##     -0.39, -0.41, -0.41, -0.41, -0.41, -0.26, -0.26, -0.36, -0.38, 
##     -0.36, -0.33, -0.36, -0.38, -0.36, -0.38, -0.38, -0.43, -0.48, 
##     -0.51, -0.46, -0.41, -0.34, -0.36, -0.34, -0.34, -0.34, -0.43, 
##     -0.34, -0.3, -0.28, -0.39, -0.34, -0.36, -0.39, -0.36, -0.36, 
##     -0.36, -0.34, -0.41, -0.51, -0.51, -0.46, -0.43, -0.34, -0.34, 
##     -0.36, -0.39, -0.36, -0.39, -0.39, -0.16, -0.16, -0.21, -0.33, 
##     -0.2, -0.16, -0.18, -0.26, -0.34, -0.39, -0.41, -0.39, -0.36, 
##     -0.39, -0.41, -0.41, -0.43, -0.41, -0.39, -0.41, -0.39, -0.39, 
##     -0.34, -0.43, -0.43, -0.33, -0.3, -0.39, -0.43, -0.44, -0.41, 
##     -0.39, -0.39, -0.41, -0.41, -0.39, -0.41, -0.34, -0.34, -0.38, 
##     -0.41, -0.41, -0.39, -0.38, -0.52, -0.49, -0.46, -0.56, -0.71, 
##     -0.54, -0.61, -0.57, -0.26, -0.31, -0.33, -0.39, -0.43, -0.41, 
##     -0.41, -0.39, -0.34, -0.38, -0.38, -0.39, -0.39, -0.41, -0.43, 
##     -0.38, -0.36, -0.36, -0.34, -0.34, -0.36, -0.38, -0.34, -0.34, 
##     -0.33, -0.31, -0.31, -0.3, -0.28, -0.31, -0.3, -0.3, -0.36, 
##     -0.33, -0.38, -0.36, -0.38, -0.38, -0.38, -0.39, -0.39, -0.41, 
##     -0.39, -0.38, -0.39, -0.36, -0.31, -0.33, -0.38, -0.34, -0.34, 
##     -0.36, -0.33, -0.31, -0.34, -0.36, -0.34, -0.33, -0.34, -0.33, 
##     -0.38, -0.41, -0.41, -0.39, -0.38, -0.34, -0.31, -0.28, -0.28, 
##     -0.36, -0.41, -0.46, -0.39, -0.33, 0.21, 0.39, -0.02, -0.15, 
##     -0.11, -0.2, -0.02, 0.2, 0.28, 0.38, 0.48, 0.46, 0.26, 0.08, 
##     -0.11, -0.11, -0.1, -0.51, -0.52, -0.62, -0.59, -0.54, -0.54, 
##     -0.54, -0.61, -0.36, -0.33, -0.33, -0.33, -0.3, -0.31, -0.34, 
##     -0.08, -0.1, 0.28, 0.11, -0.02, -0.15, -0.18, -0.21, -0.39, 
##     -0.34, -0.23, -0.33, -0.57, -0.56, -0.67, -0.8, -0.98, -1.51, 
##     -0.64, -0.36, -0.48, -0.44, -0.28, -0.1, -0.02, 0.02, 0.02, 
##     0.02, -0.02, -0.02, 0.03, 0.05, 0.07, 0.23, 0.03, -0.03, 
##     -0.11, -0.41, -0.59, -0.59, -0.67, -0.85, -0.89, -0.97, -0.89, 
##     -0.75, -0.1, -0.18, -0.31, -0.46, -0.43, -0.26, -0.15, 0.08, 
##     0.08, 0.08, 0.33, 0.05, -0.41, -0.44, -0.62, -1, -0.87, -0.48, 
##     -0.8, -1.53, -0.75, -0.41, -0.02, -0.05, -0.1, -0.07, -0.03, 
##     0.13, 0.16, 0.21, 0.13, 0.08, 0.13, 0.07, 0.02, -0.03, -0.07, 
##     -0.15, -0.36, -0.44, -0.61, -0.69, -0.92, -0.69, -0.07, -0.46, 
##     -0.41, -0.34, -0.13, -0.02, -0.1, -0.02, 0.07, 0.02, 0.05, 
##     0.15, 0.16, 0.1, -0.03, -0.33, -0.48, -1.2, -1.35, -1.31, 
##     -1.3, -1.26, -1.66, -1.67, -1.43, -0.71, -0.48, 0.1, 0.11, 
##     -0.02, -0.15, -0.16, -0.28, -0.3, -0.15, -0.08, -0.02, 0.03, 
##     0.07, -0.15, -0.44, -0.46, -0.52, -0.57, -0.64, -0.75, -0.79, 
##     -0.69, -0.66, -0.52, -0.38, -0.33, -0.3, -0.3, -0.41, -0.41, 
##     -0.39, -0.34, -0.25, -0.08, -0.11, 0.11, 0.16, 0.03, -0.02, 
##     -0.21, -0.62, -0.69, -0.15, -0.2, -1.38, -1.69, -1.54, -0.18, 
##     -0.87, -0.33, -0.2, -0.15, -0.02, 0.28, -0.03, -0.15, -0.08, 
##     0, -0.08, -0.16, -0.2, -0.31, -0.62, -0.64, -0.77, -0.95, 
##     -1.25, -1.15, -0.95, -0.38, -0.1, -0.1, -0.1, -0.25, -0.23, 
##     -0.1, -0.07, 0.1, 0.3, 0.3, 0.11, -0.25, -0.33, -0.28, -0.43, 
##     -0.71, -0.8, -0.85, -0.97, -1.08, -0.98, -1.13, -1.08, -0.98, 
##     -0.77, -0.62, 0.03, 0.15, 0, -0.03, -0.02, 0.02, 0.11, 0.08, 
##     -0.11, -0.1, -0.07, -0.13, -0.18, -0.31, -0.49, -0.56, -0.66, 
##     -0.69, -1.18, -1.36, -1.36, -1.31, -0.98, -0.77, -0.64, -0.39, 
##     -0.07, -0.13, -0.07, -0.1, -0.02, 0.23, 0.21, 0.16, 0.21, 
##     0.25, 0.21, -0.07, -0.08, -0.15, -0.1, -0.1, -0.15, -0.21, 
##     -0.16, -0.57, -0.85, -1.18, -1.13, -1.23, -1.21, -1.25, -1.2, 
##     -1.1, -0.9, -0.79, -0.69, -0.49, -0.03, 0.07, -0.03, -0.08, 
##     0.02, 0.03, 0.08, 0.07, -0.33, -0.39, -0.62, -0.64, -1.12, 
##     -1.31, -0.89, -0.75, -0.15, -0.1, -0.07, -0.03, 0.02, 0.07, 
##     0.26, 0.2, -0.05, -0.08, -0.15, -0.33, -0.57, -0.25, -0.3, 
##     -0.56, -0.84, -0.87, -1.1, -1.38, -1.71, -1.61, -1.2, -1.15, 
##     -1.07, -0.92, -0.79, -0.36, -0.3, -0.25, -0.11, 0.07, 0.3, 
##     0.28, 0.07, -0.13, -0.11, -0.1, -0.02, 0.07, -0.23, -0.28, 
##     -0.39, -0.44, -0.66, -0.79, -0.9, -0.95, -1.08, -0.89, -0.66, 
##     -0.44, -0.36, -0.28, -0.16, -0.08, 0.03, 0.11, 0.3, 0.33, 
##     0.26, 0.23, 0.25, 0.25, -0.07, 0.02, -0.1, -0.3, -0.61, -0.84, 
##     -0.62, -0.57, -0.56, -0.54, -0.57, -0.62, -0.87, -1.18, -0.79, 
##     -0.48, 0, -0.1, -0.15, -0.16, -0.08, 0, -0.05, -0.05, -0.11, 
##     -0.11, -0.15, -0.28, -0.26, -0.31, -0.3, -0.48, -0.62, -0.75, 
##     -0.89, -0.85, -0.67, -0.59, -0.38, -0.25, -0.46, -0.59, -0.2, 
##     0.03, -0.11, -0.26, -0.26, -0.44, -0.56, -0.21, -0.23, -1.07, 
##     -1.9, -1.82, -0.85, -0.59, 0.26, 0.44, 0.13, 0.07, 0.23, 
##     0.34, 0.23, 0.02, -0.1, -0.15, 0.02, 0.03, 0.03, -0.02, -0.02, 
##     -0.05, -0.03, -0.02, -0.05, -0.07, -0.07, -0.07, -0.07, -0.07, 
##     -0.08, -0.03, -0.02, 0, 0.02, 0.03, 0.03, 0.05, 0.03, 0.03, 
##     0.03, 0.02, -0.03, -0.03, -0.02, 0, 0.02, 0.02, 0, 0.03, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0.16, 0.18, 0.16, 0.21, 0.25, 0.2, -0.15, -0.23, -0.2, 
##     -0.21, -0.28, -0.2, -0.25, -0.18, -0.18, -0.36, -0.34, -0.28, 
##     -0.21, -0.15, -0.18, -0.16, -0.16, -0.16, -0.11, -0.21, -0.33, 
##     -0.41, -0.38, -0.11, -0.07, -0.05, -0.07, 0.03, 0.11, 0.1, 
##     0.07, 0.11, -0.3, -0.39, -0.31, -0.03, -0.02, 0.05, 0, -0.05, 
##     -0.1, -0.07, -0.05, 0.02, -0.11, -0.1, -0.1, -0.11, -0.1, 
##     0.05, 0.25, 0.02, -0.1, -0.16, -0.15, -0.1, -0.21, -0.3, 
##     -0.28, -0.36, -0.31, -0.33, -0.3, -0.1, -0.08, -0.05, -0.03, 
##     0.11, 0.15, 0.2, 0.15, 0.1, 0.13, -0.15, -0.21, -0.23, -0.16, 
##     -0.2, -0.3, -0.23, -0.28, -0.31, -0.23, -0.11, -0.18, -0.18, 
##     -0.08, -0.1, -0.03, -0.03, -0.03, 0.02, 0.1, 0.11, 0.03, 
##     -0.08, -0.26, -0.25, -0.21, -0.2, -0.15, -0.16, -0.16, -0.21, 
##     -0.2, -0.26, -0.28, -0.31, -0.33, -0.26, -0.26, -0.21, -0.15, 
##     -0.02, -0.03, -0.07, -0.05, -0.05, -0.03, 0, 0, -0.03, -0.02, 
##     0.07, 0.02, -0.05, -0.13, -0.1, -0.02, 0, 0.08, 0.08, 0.05, 
##     0.03, 0.18, 0.21, 0.18, 0.18, 0.11, 0.11, 0.07, 0.07, 0.05, 
##     0.15, 0.15, 0.13, 0.07, 0.05, 0, -0.16, -0.15, -0.1, -0.03, 
##     -0.02, 0, 0, 0.02, 0.02, 0.03, 0.02, -0.02, -0.03, -0.02, 
##     0, -0.02, -0.08, -0.08, -0.07, -0.07, -0.07, -0.07, -0.03, 
##     -0.02, -0.03, -0.05, -0.05, -0.02, 0.07, 0.16, 0.2, 0.18, 
##     0.1, -0.15, -0.07, 0, 0.1, 0.08, 0.13, 0.21, 0.16, 0.13, 
##     0.11, 0.05, 0.05, 0.03, 0.08, 0.1, 0.1, 0.07, 0.1, 0.07, 
##     0.05, 0.03, 0.03, 0.02, 0, 0.02, 0.03, 0.05, 0.07, 0.11, 
##     0.15, 0.16, 0.23, 0.26, 0.3, 0.33, 0.39, 0.52, 0.28, 0.13, 
##     0.25, 0.28, 0.41, 0.51, 0.54, 0.57, 0.56, 0.49, 0.08, -0.03, 
##     -0.02, 0, 0.02, 0.15, 0.15, 0.02, -0.02, -0.44, -0.48, -0.31, 
##     0, 0, 0.43, 0.28, 0.08, 0.02, 0, 0.05, 0.16, 0.26, 0.18, 
##     -0.07, -0.13, -0.05, -0.03, -0.07, -0.07, -0.03, 0.07, 0.08, 
##     0.1, 0.08, 0.07, 0.07, 0.11, 0.11, 0.11, -0.03, -0.03, -0.03, 
##     0.02, 0.03, 0.03, 0.03, -0.03, 0, 0.02, 0.02, 0.03, 0.02, 
##     0.02, 0.03, 0.03, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 
##     0.07, 0.07, 0.07, 0.1, 0.1, 0.08, -0.03, -0.07, -0.13, -0.25, 
##     -0.39, -0.44, -0.44, -0.46, -0.44, -0.18, 0.02, 0.1, 0.18, 
##     0.28, 0.36, 0.57, 0.64, 0.69, 0.69, 0.59, 0.54, 0.49, 0.44, 
##     0.36, 0.13, 0.08, 0.05, 0.02, 0, 0.08, 0.51, 0.52, 0.67, 
##     0.49, 0.34, 0.23, 0.11, 0.2, -0.13, -0.28, -0.74, -0.74, 
##     -1.02, -0.43, 0.1, 0.38, 0.46, 0.31, -0.07, -0.15, -0.07, 
##     -0.2, -0.28, -0.26, -0.07, 0.13, 0.08, 0.08, 0.1, 0.1, 0.13, 
##     0.08, 0.02, 0.07, 0.23, 0.07, -0.07, -0.08, -0.07, -0.03, 
##     0.02, -0.05, -0.05, -0.03, -0.02, 0, 0.02, 0, 0.02, 0.03, 
##     0.13, 0.1, 0.02, 0.03, 0.03, 0.05, 0.05, 0.03, 0.05, -0.21, 
##     -0.34, -0.36, -0.21, -0.23, -0.26, -0.31, -0.31, -0.36, -0.36, 
##     -0.07, -0.07, -0.03, -0.05, -0.16, -0.25, -0.3, -0.3, -0.25, 
##     -0.13, 0.07, 0.13, 0.1, 0, 0, 0, -0.03, -0.13, -0.16, -0.16, 
##     -0.11, -0.05, 0.03, 0.07, 0, 0.15, 0.16, 0.13, 0.08, -0.16, 
##     -0.2, -0.1, -0.02, -0.05, -0.18, -0.31, -0.34, -0.36, -0.25, 
##     -0.3, -0.21, -0.05, -0.03, -0.08, -0.15, -0.23, -0.18, -0.03, 
##     0, 0.07, 0.07, 0.21, 0.28, 0.33, 0.11, 0.07, 0.05, 0.03, 
##     -0.08, 0.03, 0.18, 0.21, 0.18, 0.11, 0.05, -0.16, -0.18, 
##     -0.16, -0.11, -0.15, -0.34, -0.3, -0.05, 0.13, 0.08, -0.07, 
##     -0.16, -0.18, -0.2, -0.26, -0.34, -0.36, -0.36, -0.3, -0.21, 
##     -0.15, -0.08, -0.05, -0.13, -0.33, -0.43, -0.23, -0.23, -0.13, 
##     -0.05, 0, 0.02, 0.16, 0.13, -0.15, -0.1, -0.07, 0, 0.02, 
##     0.05, 0.08, 0.07, 0.07, 0.07, 0.1, 0.15, 0.21, 0.25, 0.2, 
##     0.31, 0.33, 0.41, 0.33, 0.38, 0.41, 0.08, 0.1, 0.1, 0.03, 
##     0.03, 0.08, 0.15, 0.15, -0.3, -0.43, -0.25, -0.1, 0.05, 0.07, 
##     0.05, -0.03, -0.03, -0.1, -0.23, 0.15, 0.11, -0.02, -0.03, 
##     -0.16, -0.23, -0.26, -0.18, -0.18, -0.16, -0.13, -0.21, -0.28, 
##     -0.31, -0.23, -0.15, -0.08, -0.05, -0.02, -0.1, -0.1, -0.15, 
##     -0.16, -0.07, -0.02, 0.05, -0.02, -0.15, -0.21, 0.2, -0.05, 
##     -0.03, -0.02, -0.02, 0.05, 0.08, 0.13, 0, -0.05, -0.1, -0.13, 
##     -0.11, -0.1, -0.08, -0.08, 0.02, 0, -0.23, -0.26, -0.31, 
##     -0.3, -0.2, -0.15, -0.05, -0.02, -0.03, -0.07, -0.03, -0.05, 
##     -0.15, -0.23, -0.21, -0.15, -0.21, -0.16, -0.08, -0.02, -0.03, 
##     0, 0.03, 0.11, 0.1, 0.13, 0.03, 0.2, 0.1, 0.08, 0.08, 0.15, 
##     0.07, 0, 0.13, 0.15, 0.11, 0.05, 0.07, 0.08, 0.05, -0.07, 
##     -0.11, -0.05, 0, -0.05, -0.03, -0.05, -0.1, -0.05, -0.08, 
##     -0.02, 0.1, 0.08, 0.02, -0.13, -0.15, -0.08, -0.08, -0.15, 
##     -0.2, -0.28, -0.33, -0.31, -0.28, -0.16, -0.18, -0.26, -0.25, 
##     -0.16, 0.03, 0.02, 0, 0.07, 0.1, 0.07, 0.05, -0.07, -0.08, 
##     -0.07, -0.05, -0.05, 0.02, 0.02, 0.05, 0.1, 0.08, 0.11, 0.11, 
##     0.16, 0.18, 0.18, 0.16, 0.16, 0.16, 0.18, 0.21, 0.23, 0.16, 
##     0.05, 0.13, 0.15, 0.13, 0.15, 0.11, 0.03, 0.02, 0.31, 0.18, 
##     0, -0.21, -0.26, -0.16, -0.15, -0.15, -0.13, -0.18, -0.1, 
##     -0.15, 0.11, 0.1, -0.08, -0.1, -0.15, -0.08, -0.07, -0.08, 
##     -0.13, -0.11, 0.03, 0.15, 0.13, 0.07, 0.11, 0.15, 0.1, 0.08, 
##     0.07, 0.05, 0.05, 0.03, -0.02, -0.1, -0.1, -0.08, -0.08, 
##     -0.05, -0.05, -0.03, -0.03, 0.02, 0.07, 0.05, 0.08, 0.3, 
##     0.31, 0.34, 0.3, 0.36, 0.3, 0.25, -0.16, -0.26, 0.15, 0.26, 
##     0.28, 0.18, 0.1, 0.08, 0.05, 0, -0.03, -0.33, 0.05, -0.15, 
##     -0.25, -0.16, -0.13, -0.15, -0.28, -0.23, -0.23, -0.2, -0.15, 
##     -0.07, -0.05, -0.1, -0.11, -0.16, -0.25, -0.1, -0.13, -0.16, 
##     -0.16, -0.11, -0.1, -0.08, -0.08, -0.05, -0.02, -0.02, 0, 
##     0.02, 0, 0.02, 0.05, 0.03, -0.02, -0.07, -0.08, -0.05, -0.08, 
##     -0.07, -0.05, -0.07, 0.02, 0.05, 0.1, 0.15, 0.18, 0.2, 0.33, 
##     0.39, 0.34, 0.25, 0.25, 0.31, 0.41, 0.39, 0.33, 0.31, 0.3, 
##     0.3, 0.21, 0.15, 0.13, 0.15, 0.1, 0.05, -0.08, -0.07, -0.21, 
##     -0.15, 0.07, 0.1, 0.08, 0.03, 0, -0.07, -0.07, -0.08, -0.08, 
##     0.13, 0.07, -0.02, -0.07, -0.03, 0.08, 0.05, 0, -0.03, -0.07, 
##     -0.21, -0.16, 0.13, 0.38, 0.38, 0.2, -0.13, -0.1, -0.1, -0.08, 
##     -0.13, -0.13, -0.13, -0.11, -0.11, -0.1, -0.07, -0.03, 0.1, 
##     0.21, 0.26, 0.31, 0.3, 0.31, 0.23, 0.21, 0.18, 0.18, 0.16, 
##     0.11, 0.02, -0.18, -0.25, -0.28, -0.33, -0.11, -0.07, -0.02, 
##     0.05, 0, -0.02, 0.03, 0.15, 0.25, 0.2, 0.07, 0.05, -0.02, 
##     -0.07, -0.07, 0.1, 0.16, 0.18, -0.1, 0, 0.02, 0.05, 0, -0.16, 
##     -0.21, -0.2, -0.02, 0, 0.08, 0.1, 0.07, 0.07, -0.25, -0.05, 
##     -0.03, -0.08, -0.2, -0.2, -0.2, -0.18, -0.15, -0.16, -0.21, 
##     -0.15, -0.05, -0.16, -0.16, -0.16, -0.08, -0.02, -0.02, 0.05, 
##     0.08, 0.07, 0.11, 0.15, 0.1, 0.16, 0.03, 0.03, -0.08, -0.2, 
##     -0.3, -0.33, -0.3, -0.23, -0.18, -0.2, -0.13, -0.18, -0.21, 
##     -0.25, -0.16, -0.15, -0.15, -0.13, -0.16, -0.21, -0.26, -0.33, 
##     -0.21, -0.23, -0.15, -0.15, -0.05, -0.08, -0.16, -0.23, -0.16, 
##     -0.07, -0.07, -0.1, -0.03, -0.02, -0.05, 0.02, -0.05, -0.03, 
##     -0.1, -0.15, -0.13, -0.16, -0.08, -0.07, -0.1, -0.13, -0.13, 
##     -0.13, 0.02, -0.15, -0.26, -0.13, -0.08, -0.13, -0.03, -0.21, 
##     -0.33, -0.34, -0.31, -0.23, -0.08, -0.05, 0.05, -0.07, -0.1, 
##     -0.2, -0.15, -0.11, -0.07, -0.05, -0.1, -0.23, -0.21, -0.18, 
##     -0.2, -0.18, -0.18, -0.2, -0.23, -0.23, -0.15, -0.1, 0.02, 
##     0.02, -0.02, -0.05, -0.07, -0.11, -0.1, -0.07, -0.03, 0, 
##     0.08, 0.1, 0.11, 0.13, 0.18, 0.25, 0.25, 0.28, 0.31, 0.31, 
##     0.28, 0.21, 0.23, 0.23, 0.21, 0.26, 0.36, 0.33, 0.26, 0.26, 
##     0.28, 0.16, 0.16, 0.11, 0.07, 0, -0.02, 0, -0.03, 0, -0.02, 
##     -0.02, 0.02, 0.02, 0.03, 0.11, 0.21, 0.23, 0.33, 0.38, 0.33, 
##     0.39, 0.36, 0.31, 0.07, 0.03, 0.08, 0.2, 0.28, 0.33, 0.64, 
##     0.66, 0.66, 0.59, 0.48, 0.44, 0.39, 0.39, -0.02, 0.08, -0.03, 
##     -0.05, -0.02, -0.05, -0.07, 0.03, 0.07, 0.1, 0.08, 0.03, 
##     -0.02, 0.03, -0.03, 0.05, 0.05, 0.03, 0.03, 0.05, -0.02, 
##     -0.05, -0.07, -0.03, 0.07, 0.08, 0.11, 0.11, 0.11, 0.1, 0, 
##     -0.02, -0.05, -0.08, -0.16, -0.13, -0.16, -0.15, -0.13, -0.13, 
##     -0.13, -0.15, -0.38, -0.36, -0.31, -0.33, -0.36, -0.41, -0.18, 
##     -0.44, -0.52, -0.54, -0.51, -0.44, -0.44, -0.46, -0.49, -0.49, 
##     -0.44, -0.39, -0.41, -0.49, -0.56, -0.56, -0.51, -0.36, -0.38, 
##     -0.38, -0.31, -0.26, -0.3, -0.3, -0.33, -0.36, -0.38, -0.36, 
##     -0.36, -0.34, -0.34, -0.28, -0.3, -0.3, -0.3, -0.3, -0.26, 
##     -0.21, -0.25, -0.31, -0.41, -0.43, -0.43, -0.44, -0.43, -0.39, 
##     -0.44, -0.51, -0.49, -0.41, -0.34, -0.3, -0.41, -0.34, -0.43, 
##     -0.31, -0.33, -0.41, -0.21, -0.2, -0.03, -0.05, -0.15, -0.2, 
##     -0.13, 0.03, 0.03, 0.05, 0.03, 0.1, 0.02, 0.02, -0.02, -0.3, 
##     -0.31, -0.25, -0.3, -0.41, -0.11, -0.03, -0.18, -0.26, -0.28, 
##     -0.34, -0.41, -0.2, -0.26, -0.3, -0.39, -0.28, -0.33, -0.39, 
##     -0.36, -0.13, -0.03, -0.05, -0.15, -0.51, -0.52, -0.38, -0.41, 
##     -0.43, -0.39, -0.2, -0.2, -0.16, -0.08, -0.34, -0.48, -0.46, 
##     -0.49, -0.52, -0.46, -0.54, -0.49, -0.43, -0.39, -0.31, -0.26, 
##     -0.3, -0.33, -0.26, -0.33, -0.33, -0.36, -0.34, -0.34, -0.21, 
##     -0.18, -0.18, -0.21, -0.23, -0.25, -0.23, -0.41, -0.49, -0.66, 
##     -0.61, -0.54, -0.57, -0.57, -0.49, -0.43, -0.38, -0.3, -0.2, 
##     -0.31, -0.36, -0.39, -0.52, -0.52, -0.38, -0.43, -0.44, -0.33, 
##     -0.03, -0.11, -0.2, -0.3, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0, -0.02, -0.02, -0.02, -0.02, -0.07, -0.13, -0.13, 
##     -0.13, -0.18, -0.18, -0.21, -0.21, -0.21, -0.21, -0.21, -0.18, 
##     -0.18, -0.18, 0.02, 0.02, -0.02, 0, 0, 0, -0.02, 317, 0.03, 
##     0.02, 0.02, 0.02, 0, 0, 0, 0, 0, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, 0, -0.02, 0, 0, 0, 0, 0, 0.02, -0.02, -0.02, 
##     0, 0, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 
##     0.02, 0.02, 0, 0, -0.02, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 
##     0, -0.02, -0.02, 0, 0, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0, 0, -0.18, -0.18, -0.41, -0.43, -0.44, -0.2, -0.21, -0.2, 
##     -0.3, -0.28, -0.25, -0.23, -0.26, -0.3, -0.28, -0.25, -0.28, 
##     -0.34, -0.38, -0.39, -0.39, -0.38, -0.25, -0.23, -0.25, -0.05, 
##     -0.15, -0.41, -0.43, -0.33, -0.11, 0.05, 0.07, -0.08, -0.13, 
##     -0.13, -0.21, -0.21, -0.18, -0.25, -0.05, -0.03, -0.1, -0.26, 
##     -0.13, 0.13, 0.11, -0.38, -0.31, -0.25, -0.2, -0.2, -0.23, 
##     -0.26, -0.25, -0.28, -0.33, -0.41, -0.43, -0.39, -0.38, -0.39, 
##     -0.39, -0.23, -0.28, -0.1, 0.03, 0.18, -0.23, -0.2, -0.54, 
##     -0.41, -0.33, -0.23, -0.2, -0.21, -0.31, -0.38, -0.56, -0.07, 
##     -0.03, -0.28, -0.41, -0.34, -0.31, -0.31, -0.26, -0.33, -0.31, 
##     -0.25, -0.21, -0.25, -0.26, -0.3, -0.39, -0.28, -0.31, -0.38, 
##     -0.2, -0.23, -0.13, -0.13, -0.13, -0.1, -0.23, -0.18, -0.3, 
##     -0.16, -0.05, 0.26, -0.21, -0.16, 0.26, 0.2, 0.23, 0.2, 0.26, 
##     0.31, 0.26, 0.18, 0.18, -0.16, -0.08, 0.02, 0.21, 0.25, 0.1, 
##     -0.02, -0.1, 0, -0.08, -0.11, -0.23, -0.25, -0.15, -0.07, 
##     -0.07, -0.26, -0.16, -0.13, -0.1, -0.05, 0, -0.18, -0.28, 
##     -0.28, -0.28, -0.23, -0.2, -0.18, -0.18, -0.2, -0.41, -0.49, 
##     -0.51, -0.46, -0.43, -0.43, -0.39, -0.36, -0.28, -0.11, -0.1, 
##     -0.13, -0.26, -0.28, -0.18, -0.15, -0.28, -0.23, -0.1, -0.2, 
##     -0.25, -0.49, -0.59, -0.52, -0.51, -0.18, -0.33, -0.25, -0.08, 
##     -0.08, -0.03, -0.08, -0.23, -0.34, -0.41, -0.36, -0.3, -0.26, 
##     -0.25, -0.28, -0.3, -0.11, 0, 0.13, 0.05, -0.1, -0.16, -0.23, 
##     -0.23, -0.26, -0.28, -0.26, -0.3, -0.33, -0.34, -0.36, -0.34, 
##     -0.3, -0.31, -0.21, -0.25, -0.23, -0.25, -0.26, -0.26, -0.28, 
##     -0.28, -0.26, -0.23, -0.21, -0.23, -0.26, -0.21, -0.25, -0.54, 
##     -0.48, -0.41, -0.36, -0.28, -0.57, -0.46, -0.39, -0.08, 0, 
##     0, 0.05, 0.13, 0.39, 0.21, 0.15, 0.07, -0.57, -0.56, 0.07, 
##     0.48, 0.57, 0.13, -0.03, 0.02, 0.07, -0.02, 0.1, -0.07, 0.03, 
##     0.31, 0.36, 0.07, -0.13, -0.08, 0.05, 0.41, 0.51, 0.51, 0.23, 
##     0.13, -0.13, -0.2, -0.49, -0.56, -0.56, -0.56, -0.61, -0.82, 
##     -0.95, -0.98, -1.05, -1.08, -0.94, -0.85, -0.66, -0.71, -0.66, 
##     -0.61, -0.43, -0.2, -0.26, -0.41, -0.44, -0.08, 0.13, 0.16, 
##     0.13, 0.11, -0.33, -0.46, -0.41, -0.07, 0.07, 0.03, 0, 0.03, 
##     0.28, 0.08, 0.11, 0.15, 0.26, 0.3, 0.31, 0.31, 0.25, 0.25, 
##     0.3, 0.36, -0.2, -0.3, -0.41, -0.39, -0.49, -0.59, -0.67, 
##     -1.25, -1.07, -0.57, -0.51, -0.66, -0.52, -0.74, -0.92, -0.85, 
##     -0.67, -0.67, -0.74, -0.64, -0.66, -0.69, -0.74, -0.61, -0.46, 
##     -0.44, -0.41, -0.25, -0.44, -0.21, -0.2, 0.07, 0.23, 0.16, 
##     0.08, 0.05, -0.07, -0.38, -0.34, -0.02, -0.03, -0.02, 0.33, 
##     0.43, 0.38, 0.46, 0.67, 0.28, 0.05, 0.03, 0.39, 0.33, 0.28, 
##     0.2, -0.31, -0.38, -0.46, -0.71, -0.74, -0.84, -0.75, -0.75, 
##     -0.79, -0.85, -0.9, -0.9, -0.8, -0.75, -0.71, -0.75, -0.72, 
##     -0.74, -0.82, -0.87, -1.05, -1, -0.82, -0.72, -0.67, -0.07, 
##     0.89, 0.72, 0.16, -0.51, -0.48, -0.54, -0.62, -0.66, -0.62, 
##     -0.66, -0.66, -0.67, -0.67, -0.56, -0.54, -0.64, -0.61, -0.56, 
##     -0.77, -0.82, -0.92, -0.92, -0.75, -0.8, -0.41, -0.23, -0.28, 
##     -0.25, -0.1, 0.18, 0, 0.2, -0.1, -0.52, -0.69, -0.62, -0.43, 
##     0.2, 0.62, 0.15, 0.05, 0.16, 0.34, 0.46, 0.48, 0.36, -0.18, 
##     -0.2, 0.31, 0.56, 0.69, 0.41, 0.13, -0.07, -0.11, -0.41, 
##     -0.54, -0.62, -0.72, -0.77, -0.82, -0.89, -0.87, -0.72, -0.66, 
##     -0.67, -0.97, -0.94, -0.56, -0.43, -0.66, -0.75, -0.66, -0.59, 
##     -0.77, -0.59, -0.33, -0.41, -0.59, -0.36, -0.36, -0.21, -0.16, 
##     -0.18, -0.2, -0.2, -0.38, -0.16, 0.08, 0.1, 0.44, 0.15, -0.05, 
##     -0.16, 1, 1.26, 0.97, 0.2, 0.13, 0.02, -1.08, -1.13, -1.23, 
##     0.18, 0.13, 0.11, -0.33, -0.52, -0.33, -0.2, 0.31, 0.39, 
##     0.36, 0.44, 0.21, 0.07, 0.48, 0.41, 0.79, 0.95, 0.25, 0.38, 
##     0.54, 0.51, 0.57, 0.54, 0.44, 0.28, -0.16, -0.46, -0.67, 
##     -0.75, -0.85, -0.97, -1.15, -1.26, -1.12, -1.1, -1.08, -1.02, 
##     -0.41, -0.39, -0.74, -0.97, -0.97, -1.03, -1.07, -1.18, -1.15, 
##     -1.12, -1.16, -1.1, -0.1, -0.18, -0.23, -0.18, -0.1, -0.11, 
##     0.11, 0.13, 0.33, 0.31, -0.21, -0.39, -0.36, 0, 0.33, 0.39, 
##     0.1, 0.05, 0.03, 0, 0.21, 0.67, 0.77, 0.74, 0.61, 0.26, 0.2, 
##     0.92, 0.49, 0.15, 0.03, 0.03, -0.08, -0.26, -0.34, -0.38, 
##     -0.51, 0.02, -0.05, -0.16, 0.38, 0.26, 0.11, 0.08, 0.07, 
##     0.26, 0.38, 0.46, -0.34, -0.44, -0.39, -0.31, -0.48, -0.21, 
##     0.02, 0, 0.07, -0.16, -0.11, -0.02, 0.08, -0.05, 0.07, 0.25, 
##     0.28, 0.25, 0.28, 0.28, 0.18, 0.1, -0.13, -0.25, -0.33, -0.28, 
##     -0.28, -0.39, -0.56, -0.41, -0.38, -0.2, -0.26, -0.31, -0.36, 
##     -0.48, -0.49, -0.3, -0.18, -0.3, -0.46, -0.56, -0.67, -0.51, 
##     -0.34, -0.25, -0.26, -0.62, -0.69, -1.05, -1.12, -0.89, -0.85, 
##     -0.9, -0.66, -0.52, -0.59, -0.89, -0.79, -0.66, -0.48, -0.43, 
##     -0.3, -0.13, -0.18, -0.2, -0.1, 0, -0.07, 0.18, 0.34, 0.41, 
##     0.59, 0.62, 0.69, 0.67, 0.62, 0.1, 0.15, 0.25, 0.28, 0.07, 
##     -0.02, 0.16, 0.07, 0.08, 0.03, -0.07, 0.03, -0.02, 0.18, 
##     0.26, 0.46, 0.38, 0.07, 0.02, -0.07, -0.39, -0.59, -0.59, 
##     -0.46, -0.28, -0.21, -0.23, -0.2, -0.2, -0.26, -0.34, -0.44, 
##     -0.74, -0.43, -0.25, -0.36, 0.31, 0.26, 0.33, 0.36, 0.33, 
##     0.26, -0.15, -0.13, -0.05, 0.07, 0.13, -0.03, -0.1, -0.16, 
##     -0.3, -0.15, 0.02, 0.3, -0.18, -0.23, -0.02, 0.31, 0.39, 
##     0.44, 0.33, 0.2, 0.08, -0.02, -0.07, -0.11, -0.28, -0.36, 
##     -0.34, -0.34, -0.39, -0.28, -0.31, -0.23, -0.2, -0.25, -0.23, 
##     -0.54, -0.67, -0.43, -0.39, -0.16, -0.28, -0.44, -0.54, -0.52, 
##     -0.41, -0.66, -0.56, -0.62, -0.59, -0.67, -0.67, -0.82, -0.94, 
##     -0.9, -0.57, -0.62, -0.62, -0.62, -0.62, -0.75, -0.85, -0.82, 
##     -0.87, -0.79, -0.72, -0.67, -0.51, -0.43, -0.38, -0.3, 0.07, 
##     0.25, 0.34, 0.51, 0.48, 0.44, 0.3, 0.2, 0.05, -0.07, -0.39, 
##     -0.33, -0.23, -0.05, -0.03, 0.02, -0.2, -0.16, -0.15, -0.46, 
##     -0.59, -0.51, -0.23, -0.16, -0.49, -0.43, -0.62, -0.85, -0.57, 
##     -0.57, -0.62, -0.56, -0.64, -0.77, -0.79, -0.77, -0.62, -0.46, 
##     -0.56, -0.51, -0.3, -0.2, 0.2, 0.33, 0.41, 0.41, 0.39, 0.38, 
##     0.38, 0.43, 0.44, 0.39, 0.2, 0.1, 0.02, -0.15, -0.25, -0.34, 
##     -0.36, -0.44, -0.33, -0.11, -0.11, -0.11, 0.34, 0.41, 0.49, 
##     0.46, 0.36, 0.02, -0.18, -0.34, -0.44, -0.43, -0.21, -0.23, 
##     -0.11, -0.03, -0.21, -0.3, -0.38, -0.74, -0.77, -0.18, -0.28, 
##     -0.92, -0.72, -0.57, -0.64, -0.49, -1.02, -0.56, -0.85, -0.69, 
##     -0.56, -0.38, -0.3, -0.08, -0.07, -0.11, 0.07, 0.13, 0.25, 
##     0.31, 0.38, 0.31, 0.56, 0.44, 0.25, -0.28, -0.2, -0.31, -0.26, 
##     -0.1, 0.07, 0.16, 0.2, 0.18, 0.1, 0.11, 0.23, 0.2, 0.59, 
##     0.51, 0.23, 0, -0.02, -0.26, -0.41, -0.36, -0.28, -0.2, -0.26, 
##     -0.48, -0.67, -0.94, -0.67, -0.77, -0.95, -0.66, -0.62, -0.77, 
##     -0.71, -0.64, -0.95, -0.98, -0.98, -1.03, -0.89, -0.94, -1.03, 
##     -0.95, -0.11, -0.62, -0.36, -0.18, -0.16, -0.38, -0.31, 0, 
##     0.34, 0.46, 0.52, 0.67, 0.54, 0.38, 0.43, 0.33, 0.2, -0.13, 
##     -0.11, -0.36, -0.21, 0.13, -0.59, -0.67, -0.59, -0.48, -0.49, 
##     -0.48, -0.59, -0.82, -1.1, -1.05, -1, -1, -1, -0.98, -0.98, 
##     -0.98, -0.98, -0.97, -0.97, -0.98, -0.79, -0.75, -0.44, -0.36, 
##     -0.39, -0.46, -0.46, -0.36, -0.21, 0.46, 0.49, 0.56, 0.51, 
##     0.54, 0.36, 0.16, -0.18, -0.11, -0.21, -0.13, -0.13, 0.02, 
##     0.18, -0.07, 0.15, 0.11, 0.05, 0.15, 0.41, 0.49, 0.34, 0.03, 
##     -0.38, -0.46, -0.51, -0.54, -0.25, -0.18, -0.05, 0.08, -0.02, 
##     -0.1, -0.1, -0.05, -0.62, -1.08, -0.28, -0.51, -0.77, -0.9, 
##     -0.72, -0.66, -0.57, -0.46, -0.57, -0.71, 0.02, -0.02, 0, 
##     -0.03, -0.03, -0.07, -0.11, -0.08, -0.16, -0.07, -0.05, -0.03, 
##     -0.03, 0.15, 0.26, 0.18, 0.38, 0.54, 0.41, 0.03, 0.03, 0.05, 
##     0.08, 0.08, 0.15, 0.15, 0.08, 0.08, 0.08, 0.02, -0.1, -0.1, 
##     -0.03, -0.1, -0.08, -0.03, -0.05, -0.11, -0.02, 0.07, 0.08, 
##     -0.2, -0.15, -0.08, -0.08, -0.1, -0.07, -0.02, -0.33, -0.11, 
##     -0.05, 0.05, 0.05, 0.07, 0.07, -0.1, -0.08, 0.2, 0.11, -0.07, 
##     -0.2, -0.03, -0.1, -0.23, -0.33, -0.39, -0.08, 0.05, 0.07, 
##     0.08, 0.05, -0.08, 0.25, 0.56, 0.59, 0.59, 0.64, 0.52, 0.31, 
##     0.31, 0.23, 0.34, 0.23, 0.28, 0.26, 0.13, -0.2, -0.26, -0.13, 
##     -0.05, 0.05, 0.1, -0.39, -0.57, -0.51, -0.46, -0.39, -0.16, 
##     -0.18, -0.28, -0.25, -0.21, -0.3, -0.21, -0.02, 0.18, 0.13, 
##     0.16, 0.13, -0.08, -0.13, -0.28, -0.03, -0.31, -0.34, -0.39, 
##     -0.38, -0.38, -0.05, 0.1, 0.16, 0.08, -0.05, -0.38, -0.43, 
##     -0.51, -0.52, -0.46, -0.39, -0.43, -0.44, -0.36, -0.67, -0.52, 
##     -0.41, -0.25, 0.26, 0.08, 0.1, -0.1, -0.11, -0.13, -0.16, 
##     -0.16, -0.15, -0.2, -0.3, -0.23, 0.15, 0.2, 0.23, 0.33, 0.36, 
##     0.41, 0.36, 0.41, 0.49, 0.48, 0.52, 0.57, 0.57, -0.44, -0.57, 
##     -0.66, -0.89, -0.67, -0.36, -0.13, -0.05, -0.07, -0.15, -0.08, 
##     -0.08, -0.26, -0.02, -0.18, -0.25, -0.26, -0.23, -0.25, -0.3, 
##     -0.33, -0.33, -0.3, 0.03, 0.05, 0.08, 0.13, 0.13, 0.18, 0.21, 
##     0.25, 0.49, 0.54, 0.56, 0.64, 0.64, 0.59, 0.59, 0.66, 0.61, 
##     0.31, 0.31, 0.28, 0.44, 0.25, 0.39, 0.21, 0.16, 0.03, -0.08, 
##     -0.05, -0.16, -0.2, -0.11, -0.03, -0.03, 0, -0.05, -0.18, 
##     -0.2, -0.21, -0.15, -0.18, -0.2, -0.16, -0.23, -0.41, -0.46, 
##     -0.49, -0.23, -0.28, -0.2, -0.36, -0.52, -0.46, -0.16, 0.02, 
##     0.13, -0.28, -0.28, -0.21, -0.1, -0.05, 0.02, -0.11, -0.02, 
##     -0.11, -0.44, -0.43, -0.44, -0.26, -0.31, 0, 0.02, 0.03, 
##     0.03, -0.03, -0.16, -0.1, -0.18, -0.11, -0.11, -0.07, -0.05, 
##     -0.02, 0, 0.1, -0.1, -0.33, -0.48, -0.48, -0.49, -0.43, -0.08, 
##     0.16, 0.03, -0.03, -0.21, -0.34, -0.49, -0.62, -0.51, -0.62, 
##     -0.59, -0.49, -0.52, -0.49, -0.1, -0.03, 0, 0, -0.02, 0.48, 
##     0.48, 0.44, 0.38, 0.48, 0.44, 0.69, 0.69, 0.64, 0.62, 0.54, 
##     0.52, 0.43, 0.38, -0.08, 0.03, -0.43, -0.59, -0.23, -0.64, 
##     -0.51, -0.77, -0.54, -0.52, -0.31, -0.34, -0.28, -0.18, -0.21, 
##     -0.02, 0.3, 1.03, 0.75, 0.67, 0.67, 0.57, 0.48, 0.39, 0.02, 
##     0.07, 0.02, 0.13, -0.11, -0.1, -0.21, -0.26, -0.28, -0.3, 
##     -0.23, -0.15, 0, -0.05, -0.18, -0.25, -0.13, -0.2, -0.08, 
##     -0.08, -0.15, -0.25, -0.3, -0.49, -0.33, -0.48, -0.51, -0.59, 
##     -0.38, -0.34, -0.18, -0.21, -0.26, -0.15, -0.1, 0.05, 0.03, 
##     0.08, -0.13, -0.16, -0.13, -0.11, -0.07, -0.05, -0.05, 0.02, 
##     0.03, -0.07, 0.18, -0.05, -0.11, -0.05, -0.13, -0.25, -0.33, 
##     -0.39, -0.44, -0.51, -0.87, -0.82, -0.84, -0.69, -0.51, -0.52, 
##     -0.03, -0.03, -0.05, -0.11, -0.11, -0.11, -0.1, -0.07, -0.05, 
##     -0.05, -0.05, 0.02, 0.02, 0, -0.03, -0.07, -0.08, -0.11, 
##     -0.1, -0.07, -0.08, -0.05, -0.03, 0.02, 0.05, 0.07, 0.03, 
##     0.02, 0.03, 0.05, 0.05, 0.03, 0.08, 0.08, 0.02, 0.03, 0, 
##     0, 0, 0.03, 0.07, 0.1, 0.08, -0.03, -0.05, -0.05, -0.16, 
##     -0.2, -0.16, -0.2, -0.13, -0.1, -0.15, -0.2, -0.18, -0.1, 
##     -0.13, -0.08, -0.05, -0.08, -0.02, 0.02, 0.02, -0.1, -0.13, 
##     -0.11, -0.07, -0.03, 0, -0.02, 0.08, 0.1, 0.11, 0.11, 0, 
##     0.18, 0.05, -0.21, -0.39, -0.23, -0.23, -0.28, -0.33, -0.41, 
##     -0.54, -0.85, -0.72, -0.56, -0.33, -0.31, -0.23, -0.25, -0.3, 
##     -0.31, -0.31, -0.38, -0.52, -0.54, -0.57, -0.54, -0.49, -0.41, 
##     -0.39, -0.34, -0.3, -0.13, -0.08, 0, 0.08, 0.13, 0, -0.11, 
##     -0.18, -0.36, -0.44, -0.49, -0.43, -0.44, -0.38, -0.49, -0.38, 
##     -0.36, -0.39, -0.43, -0.38, -0.38, -0.36, -0.36, -0.36, -0.39, 
##     -0.36, -0.34, -0.36, -0.41, -0.38, -0.41, -0.36, -0.34, -0.38, 
##     -0.43, -0.43, -0.41, -0.44, -0.46, -0.38, -0.38, -0.39, -0.33, 
##     -0.21, 0.49, 0.39, 0.41, 0.66, 0.92, 1.18, 0.18, -0.41, -0.41, 
##     -0.46, -0.28, -0.16, -0.3, -0.23, -0.67, -1.26, -1.31, -0.31, 
##     -0.56, -0.59, -0.94, -0.87, -0.59, -0.57, -0.51, -0.39, -0.33, 
##     -0.41, -0.33, -0.67, -0.94, -0.3, -0.49, -0.54, 0.16, 0.38, 
##     0.08, -0.41, -0.39, -0.82, -0.54, -0.79, -0.82, -0.74, -0.69, 
##     -0.69, -0.72, -0.66, -0.51, -0.66, -0.54, -0.59, -0.39, -0.59, 
##     -0.95, -0.87, -1, -1.28, -1.69, -0.48, -0.49, -0.28, -0.03, 
##     0.07, 1.05, 0.87, 0.75, 0.84, 0.92, 0.89, 0.72, 0.46, -0.03, 
##     0.33, 0.18, -0.07, -0.25, -0.18, -0.25, -0.51, -0.74, -0.72, 
##     -0.72, -0.61, -0.43, -0.57, -0.85, -0.82, -0.75, -0.77, -0.84, 
##     -0.62, -0.62, -0.41, -0.28, -0.51, -0.84, -0.89, -0.9, -0.94, 
##     -1.07, -1.03, -1.26, -1.41, -0.85, -0.56, -0.15, 0.49, 0.62, 
##     0.85, 1.02, 1.15, 1.23, 0.82, 0.56, -0.85, -0.61, 0.64, 0.41, 
##     -0.15, -0.28, -0.34, -0.15, -0.3, -0.38, -0.69, -0.59, -0.56, 
##     -0.61, -0.75, -0.9, -0.94, -0.67, -0.56, -0.62, -0.49, -0.49, 
##     -0.75, -1.25, -0.71, -0.16, -0.36, -0.72, -1.16, -1.15, -1.08, 
##     0.03, -0.03, -0.44, -1.25, -1.28, -1.02, -1.13, -1.23, -1.2, 
##     -1.31, -0.85, -0.59, -0.56, 0.79, 1.61, 1.61, 1.08, 0.97, 
##     0.62, -0.41, -0.44, -0.21, -0.21, -0.1, 0.11, -0.1, -0.52, 
##     -0.74, -0.98, -0.71, -0.95, -0.69, -0.69, -0.49, -0.33, -0.36, 
##     -0.39, -0.26, -0.84, -1.08, -1.21, -1.07, -1.3, -1.39, -1.54, 
##     -1.43, -0.31, 0.2, 0.61, 0.98, 0.98, 0.92, 0.84, 0.8, 0.56, 
##     0.15, -0.34, -0.51, -0.44, 0.2, 0.11, -0.05, -0.08, -0.11, 
##     -0.71, -1.3, -1.21, -0.92, -0.57, -0.49, -0.43, -0.41, -0.56, 
##     -0.43, -0.21, -0.16, -0.8, -0.97, -0.87, -0.79, -0.62, -0.94, 
##     -1.3, -1.36, -1.48, -1.59, -1.56, -1.36, -1.2, -0.74, -0.84, 
##     -0.62, -0.25, 0.38, 0.77, 0.77, 1.15, 1.39, 1.49, 1.35, -0.52, 
##     -0.59, -0.07, 0.18, 0.64, 0.05, -0.34, -0.69, -0.87, -1.05, 
##     -1.12, -0.52, -0.62, 1.44, 1.51, 1.43, 1.25, -0.08, 0, 0.07, 
##     0.03, 0.25, 0.36, 0.21, -0.07, -0.34, -0.77, -1.25, -0.95, 
##     -0.95, -0.69, -0.64, -0.61, -0.61, -0.54, -0.38, -0.33, -0.23, 
##     0.05, 0.23, -0.36, 0.11, 0, 0.08, -0.11, -0.11, -0.11, -0.11, 
##     -0.15, -0.05, 0.02, 0.11, 0.59, 0.59, 0.84, 0.69, 0.54, 0.28, 
##     0.1, 0.16, 0.31, 0.15, -0.03, -0.49, -0.43, -0.56, -0.64, 
##     -0.66, -0.69, -0.72, -0.72, -0.3, -0.18, -0.1, -0.28, -0.21, 
##     -0.16, -0.11, -0.05, -0.02, -0.15, -0.23, -0.36, -0.25, -0.28, 
##     -0.34, -0.3, -0.25, -0.25, -0.36, -0.33, -0.3, -0.2, -0.1, 
##     -0.02, -0.02, -0.02, 0.05, 0.16, 0.66, 0.49, 0.34, 0.25, 
##     0.25, 0.2, 0.26, 0.36, 0.23, -0.11, -0.15, 0.1, 0.23, 0.25, 
##     0.18, 0.1, 0.15, 0.16, 0.11, 0.03, 0.02, -0.07, -0.11, -0.16, 
##     -0.13, -0.11, -0.18, -0.34, -0.41, -0.41, -0.43, -0.49, -0.62, 
##     -0.64, -0.74, -0.8, -0.56, -0.48, -0.15, -0.26, -0.43, -0.33, 
##     -0.33, -0.26, -0.16, -0.13, -0.15, -0.18, -0.26, -0.15, -0.16, 
##     -0.38, -0.34, -0.28, -0.08, -0.15, -0.18, -0.28, -0.18, -0.18, 
##     -0.2, -0.21, -0.07, -0.13, -0.15, -0.11, -0.05, 0.08, 0.49, 
##     0.67, 0.77, 0.71, 0.59, 0.46, 0.33, 0.31, 0.34, 0.3, 0.16, 
##     0.26, 0.16, 0.08, 0.11, 0.11, 0.1, 0.11, -0.07, 0, 0.08, 
##     -0.26, -0.48, -0.39, 0, -0.05, -0.1, -0.1, -0.11, -0.13, 
##     0.05, -0.1, -0.1, -0.03, -0.02, -0.3, -0.2, 0.05, -0.02, 
##     -0.23, -0.44, -0.51, -0.52, -0.08, 0.03, 0.1, 0.1, 0.1, -0.2, 
##     -0.26, -0.34, -0.31, -0.21, -0.13, -0.07, -0.07, -0.18, -0.3, 
##     -0.3, -0.28, -0.61, -0.61, -0.56, -0.66, -0.66, -0.64, -0.61, 
##     -0.44, -0.2, -0.18, -0.25, -0.15, -0.15, -0.21, -0.11, -0.18, 
##     -0.02, 0, -0.05, 0.08, 0.08, 0.02, -0.03, -0.11, -0.18, -0.16, 
##     -0.1, 0.13, 0.26, 0.38, 0.43, 0.1, -0.08, -0.25, -0.13, -0.05, 
##     0, -0.13, 0.2, 0.23, 0.1, 0, -0.1, -0.05, -0.1, -0.16, 0.1, 
##     0.2, 0.48, 0.51, 0.46, 0.52, 0.54, 0.52, 0.48, 0.46, 0.46, 
##     0.28, 0.02, -0.1, -0.16, -0.1, -0.02, -0.1, -0.18, 0.07, 
##     0.13, 0.11, 0.1, 0.05, -0.08, -0.15, -0.16, -0.13, -0.15, 
##     -0.21, -0.23, -0.23, -0.26, -0.15, -0.15, -0.2, -0.16, -0.21, 
##     0, 0.03, 0, -0.13, -0.18, 0, -0.18, -0.23, -0.13, -0.11, 
##     -0.16, -0.16, -0.08, -0.1, -0.1, 0.03, 0.26, 0.39, 0.48, 
##     0.51, 0.57, 0.66, 0.28, 0.1, 0.05, 0.16, 0.15, 0.05, -0.02, 
##     0, -0.03, -0.2, -0.18, -0.23, -0.26, -0.28, -0.15, -0.16, 
##     -0.1, -0.08, 0.05, 0.03, -0.03, -0.07, -0.15, -0.16, -0.08, 
##     0.05, 0.34, 0.46, 0.48, 0.39, -0.02, -0.13, -0.34, -0.39, 
##     -0.34, -0.18, -0.16, -0.28, -0.28, -0.16, -0.08, -0.05, 0.02, 
##     0.07, 0.1, 0, 0.05, 0.11, 0.2, 0.33, 0.48, 0.51, 0.43, 0.38, 
##     0.34, 0.3, 0.15, 0.21, -0.02, 0, 0.21, 0.2, 0.02, -0.02, 
##     -0.02, -0.05, -0.1, -0.11, -0.2, -0.2, -0.21, -0.23, -0.25, 
##     -0.26, -0.23, -0.21, -0.2, -0.26, -0.3, -0.33, -0.36, -0.38, 
##     -0.57, -0.59, -0.59, -0.79, -0.75, -0.57, -0.38, -0.13, -0.25, 
##     -0.21, -0.11, -0.1, -0.11, -0.13, -0.13, -0.16, -0.1, -0.05, 
##     -0.08, -0.16, -0.28, -0.26, -0.08, 0.16, 0.11, -0.25, -0.33, 
##     -0.21, -0.2, -0.13, -0.1, -0.1, 0, 0, 0, 0.02, 0.03, -0.02, 
##     -0.1, -0.3, -0.3, -0.3, -0.21, -0.16, -0.1, 0.03, 0.23, 0.34, 
##     0.54, 0.67, 0.8, 0.84, 0.79, 0.2, 0.07, -0.1, 0, 0.23, 0.41, 
##     0.3, 0.3, 0.26, 0.16, 0.16, 0.11, 0.05, 0.02, 0.08, 0.11, 
##     0.11, 0.05, -0.03, -0.1, -0.13, -0.18, -0.15, -0.15, -0.15, 
##     -0.13, -0.11, -0.16, -0.16, -0.21, -0.41, -0.44, -0.46, -0.39, 
##     -0.41, -0.66, -0.69, -0.69, -0.64, -0.61, -0.61, -0.39, -0.16, 
##     -0.02, -0.05, -0.15, -0.15, -0.21, -0.15, -0.11, -0.07, -0.1, 
##     -0.07, -0.11, -0.3, -0.34, -0.11, 0.33, 0.31, -0.43, -0.43, 
##     -0.3, -0.2, -0.11, -0.11, -0.13, -0.15, -0.13, -0.1, -0.18, 
##     -0.08, 0.07, 0.15, 0.1, 0, 0, 0.07, 0.2, 0.26, 0.31, 0.44, 
##     0.41, 0.3, 0.18, 0.1, -0.02, 0.1, 0.13, -0.18, -0.13, -0.11, 
##     -0.15, -0.2, -0.21, -0.25, -0.25, -0.28, -0.26, -0.31, -0.34, 
##     -0.67, -0.62, -0.62, -0.59, -0.49, -0.51, -0.46, -0.28, -0.11, 
##     -0.16, -0.38, -0.43, -0.43, -0.28, -0.39, -0.34, -0.34, -0.41, 
##     -0.49, -0.84, -0.95, -0.87, -0.31, -0.23, -0.39, -0.11, -0.05, 
##     0.02, -0.02, -0.08, -0.13, 0.25, 0.26, 0.2, 0.13, 0.11, 0.38, 
##     0.39, 0.3, 0.36, 0.34, 0.1, -0.1, -0.16, -0.13, 0, 0.05, 
##     0.15, 0.21, 0.16, 0.02, -0.16, -0.07, 0.08, 0.11, 0.1, 0.07, 
##     0.07, 0.03, -0.07, -0.11, -0.08, -0.05, -0.25, -0.28, -0.23, 
##     -0.18, -0.15, -0.3, -0.23, -0.33, -0.44, -0.59, -0.64, -0.66, 
##     -0.56, -0.56, -0.52, -0.03, -0.15, 0, 0.34, 0.25, 0.1, 0.07, 
##     -0.02, -0.05, -0.05, -0.16, -0.1, -0.08, -0.13, -0.03, -0.07, 
##     -0.07, -0.02, -0.03, -0.08, -0.11, -0.15, -0.18, -0.21, -0.51, 
##     -0.57, -0.1, -0.11, -0.16, -0.15, -0.15, -0.13, -0.15, -0.18, 
##     -0.2, -0.2, -0.21, -0.23, -0.2, -0.15, -0.08, 0.02, 0.03, 
##     0.08, -0.05, -0.08, 0.07, 0.08, 0.03, 0.18, 0.13, 0.28, 0.3, 
##     0.26, 0.21, 0.18, 0.02, -0.03, 0.05, 0.03, -0.08, -0.13, 
##     -0.15, -0.18, -0.23, -0.26, -0.26, -0.23, -0.23, -0.21, -0.16, 
##     -0.11, -0.07, -0.08, 0.16, -0.1, -0.16, -0.11, -0.15, -0.21, 
##     -0.23, -0.25, -0.23, -0.18, -0.16, -0.13, -0.2, -0.25, -0.21, 
##     -0.2, -0.23, -0.26, -0.3, -0.33, -0.34, -0.26, 0.02, 0.05, 
##     0.1, 0.08, 0.08, 0.23, 0.18, 0.11, 0.11, 0.18, 0.16, 0.11, 
##     0.18, 0.18, 0.21, 0.18, 0.21, 0.25, 0.13, 0.15, 0.1, 0.05, 
##     0.02, 0, 0, -0.02, 0.03, 0.07, 0.15, 0.11, -0.05, -0.2, -0.2, 
##     0.08, 0.15, 0.25, 0.31, 0.3, 0.25, 0.07, -0.16, -0.08, -0.03, 
##     0.02, 0, 0.05, 0.05, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0, 0.07, 0.1, 0.1, -0.21, -0.2, -0.07, 0.44, 
##     0.51, 0.52, 0.43, 0.25, 0.16, 0.11, 0.11, 0.1, -0.16, -0.18, 
##     -0.3, -0.38, -0.48, -0.66, -0.75, -0.72, -0.62, -0.52, -0.34, 
##     -0.28, -0.11, -0.11, -0.13, 0.02, 0.03, -0.07, -0.03, -0.03, 
##     0.18, -0.05, -0.21, -0.25, -0.28, -0.3, -0.31, -0.25, -0.18, 
##     -0.18, -0.18, -0.26, -0.13, -0.03, -0.03, 0.05, 0.08, 0.03, 
##     0.08, 0.18, 0.25, 0.38, 0.26, 0.3, 0.3, 0.05, 0.2, 0.13, 
##     0.16, 0.25, 0.13, -0.05, -0.08, -0.23, -0.2, -0.16, -0.08, 
##     -0.03, -0.02, -0.03, -0.02, 0.03, 0.08, 0.15, 0.2, 0.28, 
##     0.38, 0.36, 0.25, 0.21, 0.21, 0.18, 0.07, 0.03, 0.03, 0.16, 
##     0.08, 0, -0.11, -0.1, -0.05, 0, 0.03, 0.07, 0.11, 0.2, 0.23, 
##     0.23, 0.23, 0.18, 0.13, 0.11, 0.13, 0.15, 0.15, 0.1, 0.08, 
##     0.11, 0.15, 0.08, -0.05, 0.05, 0.02, 0.08, -0.03, -0.05, 
##     -0.2, -0.2, -0.13, -0.08, -0.08, -0.1, -0.13, -0.11, -0.16, 
##     -0.28, -0.26, -0.13, -0.05, 0.02, 0.07, 0.15, 0.15, 0.2, 
##     0.2, 0.26, 0.23, 0.16, -0.05, -0.21, -0.28, -0.26, -0.23, 
##     -0.31, -0.36, -0.23, -0.1, -0.05, 0.02, -0.03, 0.03, 0.02, 
##     0.03, 0.03, 0.07, 0.07, -0.1, -0.13, 0.05, 0.05, 0.02, 0.03, 
##     -0.11, -0.21, -0.15, 0.03, 0.02, -0.26, -0.26, -0.3, -0.26, 
##     -0.16, -0.23, -0.2, 0, -0.02, -0.07, -0.07, 0.05, 0.08, 0.16, 
##     0.21, 0.2, 0.11, 0.11, 0.08, 0.33, 0.43, 0.49, 0.36, 0.31, 
##     0.38, 0.43, 0.51, 0.23, 0.15, 0.05, 0.1, -0.03, 0.05, 0.05, 
##     0.05, 0.05, 0.15, 0.1, 0.05, 0.03, 0.07, 0.08, 0.08, 0, -0.02, 
##     -0.23, -0.25, -0.25, -0.25, -0.26, -0.26, -0.26, -0.25, -0.25, 
##     -0.2, -0.16, -0.33, 0.15, 0.13, 0.03, 0.11, 0.16, 0.1, 0.08, 
##     0.07, 0.07, 0.05, 0.05, 0.07, 0.02, -0.15, -0.18, -0.2, -0.18, 
##     -0.16, -0.16, -0.13, 0.02, -0.08, -0.11, -0.13, -0.11, 0.08, 
##     0.08, 0.1, 0.1, 0.07, 0.07, 0.08, 0.13, 0.25, 0.26, 0.2, 
##     0.16, 0.15, 0.11, 0.07, 0.07, 0.02, 0.11, 0.16, 0.11, 0.11, 
##     0.08, -0.02, -0.2, -0.28, -0.07, -0.11, 0.02, -0.02, -0.05, 
##     0, 0.03, 0.08, 0.11, 0.13, 0.1, 0.1, 0.03, 0.02, 0.07, 0.1, 
##     0.08, 0.05, 0.08, 0.08, 0.03, -0.1, -0.13, -0.23, -0.21, 
##     -0.2, -0.18, -0.2, -0.18, -0.11, 0.11, 0, 0.15, 0.18, 0.2, 
##     0.15, 0.23, 0.15, 0.18, 0.02, 0.16, 0.18, 0.07, 0.05, 0.05, 
##     0.07, 0.1, 0.16, 0.16, 0.15, 0.11, 0.1, 0.13, 0.13, 0.08, 
##     0.05, -0.03, -0.07, -0.11, 0, -0.15, -0.11, -0.11, 0.05, 
##     0.05, 0.1, 0.08, 0.1, 0.15, 0.08, -0.03, -0.03, 0.03, 0.05, 
##     0.05, 0.07, 0.03, -0.02, -0.15, -0.2, -0.2, -0.21, -0.25, 
##     -0.23, -0.31, -0.05, 0, -0.05, -0.07, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 0.05, 0.08, 0, 
##     -0.16, -0.13, 0, 0.02, 0.07, -0.25, -0.48, 0.34, 0.31, 0.1, 
##     -0.15, -0.07, -0.03, 0, 0.05, -0.02, -0.13, -0.07, -0.05, 
##     -0.02, -0.02, -0.03, -0.02, -0.02, 0, 0.02, 0.1, 0.1, 0.1, 
##     0.15, 0.18, -0.13, -0.07, -0.07, -0.07, -0.11, -0.08, -0.1, 
##     -0.05, -0.05, -0.05, -0.07, 0.03, 0.02, 0, -0.02, 0.02, 0.05, 
##     0.07, 0.08, 0.08, 0.08, 0.03, 0.03, 0.03, 0.11, 0.18, 0.23, 
##     0.25, 0.23, 0.07, -0.08, -0.3, -0.36, -0.51, -0.43, -0.39, 
##     -0.21, -0.15, -0.16, -0.07, 0.03, 0.2, 0, 0.03, 0.02, 0.07, 
##     -0.05, -0.1, 0.07, 0.02, -0.03, 0.02, -0.08, -0.11, 0.05, 
##     0.08, -0.08, -0.16, -0.23, -0.33, -0.43, -0.52, -0.48, -0.54, 
##     -0.67, -0.84, -0.64, 0.03, 0.05, 0.05, 0.1, 0.08, 0.1, 0.43, 
##     0.41, 0.34, 0.26, 0.25, 0.1, 0, 0.03, 0, 0.1, 0.08, 0.05, 
##     0.11, 0.16, 0.16, 0.21, 0.23, 0.16, 0.08, 0.08, 0.07, 0.02, 
##     0, 0.16, 0.15, 0.15, 0.07, 0, -0.05, -0.16, -0.2, -0.23, 
##     -0.33, -0.3, -0.3, -0.31, -0.34, -0.34, -0.26, -0.3, -0.34, 
##     -0.25, -0.21, -0.2, -0.11, -0.08, 0, 0.05, 0.07, 0.03, -0.02, 
##     -0.05, -0.13, -0.08, -0.13, -0.2, -0.15, -0.21, -0.38, -0.43, 
##     -0.13, -0.2, -0.1, -0.11, -0.15, -0.16, -0.13, -0.11, -0.1, 
##     -0.21, -0.23, -0.18, -0.16, -0.11, -0.18, -0.15, -0.16, -0.18, 
##     -0.15, -0.15, -0.15, -0.15, -0.13, -0.16, -0.21, -0.31, -0.3, 
##     -0.28, -0.28, -0.07, -0.02, -0.08, -0.07, -0.11, -0.21, -0.31, 
##     -0.31, -0.3, -0.3, -0.3, -0.26, -0.2, -0.18, -0.15, -0.15, 
##     -0.15, -0.13, -0.16, -0.13, -0.13, -0.15, -0.13, -0.13, -0.11, 
##     -0.13, -0.15, -0.15, -0.18, -0.16, -0.15, -0.2, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.21, -0.25, -0.28, -0.18, -0.2, 
##     -0.21, -0.21, -0.25, -0.26, -0.25, -0.25, -0.25, -0.25, -0.23, 
##     -0.33, -0.31, -0.34, -0.34, -0.31, -0.3, -0.28, -0.25, -0.25, 
##     -0.26, -0.16, -0.15, -0.21, -0.21, -0.18, -0.13, -0.03, -0.03, 
##     -0.03, -0.03, 0.05, 0.18, 0.21, 0.21, 0.2, 0.11, 0.11, 0.11, 
##     0.07, 0.07, 0.07, 0.07, 0.07, 0.11, 0, 0.07, 0.02, -0.13, 
##     0, 0.21, 0.11, 0.07, -0.25, -0.3, -0.25, -0.23, -0.23, -0.26, 
##     -0.28, -0.28, -0.25, -0.02, 0.05, -0.07, -0.08, -0.03, 0.03, 
##     0.05, 0.11, 0.15, 0.13, 0.11, 0.11, 0.34, 0.31, 0.31, 0.34, 
##     0.11, 0.03, 0.02, -0.07, -0.11, 0, 0.07, 0.07, 0.08, 0.07, 
##     0.08, 0.23, 0.28, 0.28, 0.13, 0.16, 0.18, 0.13, 0.05, -0.03, 
##     -0.13, -0.21, -0.26, -0.31, -0.39, -0.49, -0.49, -0.43, -0.36, 
##     -0.18, -0.21, -0.15, -0.07, 0.02, 0.11, 0.11, 0.28, -0.25, 
##     -0.18, -0.1, -0.02, 0, 0.07, 0.07, -0.21, 0.08, 0.11, 0.07, 
##     0.07, 0.05, 0.02, -0.08, -0.11, -0.11, -0.11, -0.1, 0, -0.87, 
##     -0.85, -0.33, -0.26, -1.12, -1.43, -1.46, -1.95, -1.94, -0.59, 
##     -0.2, -0.13, 0.72, 1.15, 1.48, 1.43, 1.26, 0.38, 0.08, -0.1, 
##     -0.59, -0.54, -0.38, -0.11, -0.13, -0.13, -0.08, -0.13, -0.75, 
##     -0.74, -1, -1.33, -1.36, -1.18, -0.84, -1.05, -1.41, -1.31, 
##     -1.28, -1.31, -1.43, -1.66, -1.69, -1.33, -0.18, 0.07, 0.28, 
##     0.79, 0.92, -0.28, 0.62, 0.71, 0.87, 1.02, 1.12, 1.21, 0.92, 
##     0.72, 0.02, -0.1, -0.23, -0.11, 0.28, 0.31, 0.41, 0.13, -0.54, 
##     -0.62, -1.02, -0.48, -0.48, -0.77, -0.8, -0.82, -0.79, -0.61, 
##     -0.26, -1.08, -1.13, -1.13, -1.03, -2.08, -2, -1.67, -0.82, 
##     -0.87, -0.56, -0.49, -0.03, 0.64, 1.23, 1.43, 1.48, 1.49, 
##     1.53, 1.36, 1.1, 0.85, 0.44, -0.64, -0.74, -1.74, -2.38, 
##     -2.3, -1.87, -0.9, -0.79, -0.79, -0.84, -0.71, -0.79, -0.72, 
##     -0.74, -0.08, -0.18, -0.16, -0.21, -0.2, -0.16, -0.26, -0.34, 
##     -0.44, -0.46, -0.38, -0.41, -0.46, -0.49, -0.49, -0.48, -1.05, 
##     -0.92, -0.92, -0.92, -0.92, -0.92, -0.92, -0.92, -0.92, -0.92, 
##     -0.92, -0.92, -0.92, -0.92, -0.92, -0.92, -0.92, -0.92, -0.92, 
##     -0.92, -0.92, -0.92, -0.92, -0.92, -0.92, -0.92, -0.11, -0.08, 
##     0, 0.1, 0.15, 0.59, -0.23, -0.15, -0.25, -0.52, -0.56, -0.51, 
##     -0.36, -0.3, -0.23, -0.13, -0.13, -0.13, -0.16, -0.21, -0.28, 
##     -0.51, -0.71, -0.59, -0.34, -0.34, -0.39, -0.49, 0.05, -0.03, 
##     -0.03, -0.13, -0.16, 0.05, 0.07, -0.08, -0.13, -0.23, -0.07, 
##     0, 0.34, 0.33, 0.31, 0.28, 0.15, 0.02, -0.13, -0.52, -0.48, 
##     -0.48, -0.59, -0.64, -0.59, -0.67, -0.52, -0.75, -0.64, -0.66, 
##     -0.61, -0.51, -0.66, -0.92, -0.66, -0.69, -0.62, -0.54, -0.48, 
##     -0.25, -0.08, -0.07, -0.21, -0.18, -0.13, -0.11, -0.03, 0.13, 
##     -0.92, -0.74, -0.84, -0.59, -0.34, -0.36, -0.34, -0.3, -0.21, 
##     -0.13, 0.1, 0.25, 0.31, 0.33, 0.54, 0.52, 0.39, 0.2, 0.21, 
##     0.02, -0.13, -0.15, -0.26, -0.41, -0.07, -0.13, -0.25, -0.2, 
##     -0.56, -0.39, -0.3, -0.33, -0.64, -0.54, -0.64, -0.36, -0.38, 
##     -0.85, -0.64, -0.8, -0.84, -1.31, -0.67, -0.56, -0.52, -0.61, 
##     -0.71, -0.75, -0.77, -0.74, -0.75, -0.77, -0.9, -0.87, -0.89, 
##     -0.75, -0.92, -1.03, -0.95, -0.82, -0.8, -0.97, -0.18, -0.03, 
##     -0.51, -0.38, -0.39, -0.33, 0.02, 0.1, -0.34, -0.07, -0.02, 
##     0.02, 0.08, 0.13, 0.15, -0.23, -0.97, -0.18, -0.15, -0.02, 
##     -0.16, -0.43, -0.08, 0.84, 0.75, 0.62, -0.21, -0.2, -0.23, 
##     -0.1, -0.13, -0.2, -0.21, -0.26, -0.38, -0.84, -0.79, -0.8, 
##     -0.59, -0.52, -0.61, -0.71, -0.38, -0.03, -0.05, -0.34, -0.62, 
##     -0.54, -0.03, 0.07, 0.2, 0.26, 0.21, 0.05, 0.02, 0, 0, -0.03, 
##     -0.07, -0.08, -0.08, -0.08, -0.07, -0.54, -0.33, -0.31, -0.08, 
##     0.02, 0, -0.03, -0.02, 0.05, 0.05, 0.1, 0.16, 0.21, 0.23, 
##     0.26, 0.28, 0.26, 0.16, 0.18, 0.16, 0.02, 0, -0.03, 0.07, 
##     -0.02, 0.64, 0.79, 0.44, 0.49, 0.64, 0.74, 0.62, 0.59, 0.57, 
##     0.57, 0.34, 0.48, 0.62, 0.21, 0.21, 0.03, 0.02, 0.05, -0.08, 
##     -0.1, -0.21, -0.11, 0.11, 0.07, 0.07, -0.02, -0.03, -0.08, 
##     -0.25, -0.26, -0.36, 0, 0.07, 0.08, 0.08, 0.1, 0.03, -0.05, 
##     -0.15, -0.11, -0.08, 0, -0.67, 0.02, -0.02, 0.43, 0.57, 0.62, 
##     0.59, 0.51, 0.51, 0.51, 0.41, 0.34, 0.21, 0.31, 0.26, 0.02, 
##     0.15, 0.16, 0.15, 0.05, 0.05, -0.11, -0.21, -0.23, -0.25, 
##     -0.34, -0.33, 0.21, 0.16, 0.21, 0.23, 0.16, 0.2, 0.15, 0.11, 
##     0.07, 0.02, -0.13, -0.18, -0.15, -0.15, 0.13, 0.25, 0.25, 
##     -0.05, -0.18, -0.33, -0.38, -0.41, -0.15, -0.1, -0.18, -0.21, 
##     0, -0.05, -0.07, 0.03, 0.02, -0.3, -0.18, 0.07, 0.2, 0.36, 
##     0.38, 0.26, 0.38, 0.46, 0.43, 0.41, 0.28, 0.41, 0.54, 0.61, 
##     0.72, 0.23, 0.41, 0.46, 0.43, 0.38, 0.34, 0.31, 0.26, 0.3, 
##     0.26, 0.07, 0.05, -0.25, -0.23, -0.2, -0.16, -0.16, -0.1, 
##     -0.02, 0.07, 0.13, 0.02, -0.08, -0.13, -0.18, -0.28, -0.46, 
##     -0.46, -0.49, 0.26, 0.13, 0.03, 0, 0.03, 0.11, 0.21, 0.34, 
##     0.28, 0.3, 0.25, 0.31, 0.41, 0.43, 0.36, 0.11, 0.07, 0.16, 
##     0.33, 0.25, 0.43, 0.49, 0.36, 0.23, -0.1, -0.84, -1.1, -1.18, 
##     -1.33, -1.39, -1.46, -1.38, -0.74, -0.28, -0.41, -0.72, -0.66, 
##     -0.49, -0.54, -0.61, -0.74, -1.07, -1.05, -0.97, -1, -1.1, 
##     -1.13, -0.85, -0.25, -0.02, -0.21, -0.21, -0.16, -0.03, -0.02, 
##     -0.03, -0.05, -0.03, 0.11, 0.38, -0.1, -0.28, -0.43, -0.31, 
##     0.3, 0.25, -0.13, 0.43, 0.85, 0.82, 0.77, 0.62, 0.51, 0.56, 
##     0.41, 0.15, -0.02, -0.26, -0.46, -0.69, -0.77, -0.72, -0.84, 
##     -0.52, -0.26, -0.43, -0.38, -0.56, -0.51, -0.49, -0.43, -0.56, 
##     -0.72, -0.87, -0.82, -0.75, -0.72, -0.38, 0.44, 0.39, 0.15, 
##     0.16, 0.23, -0.23, -0.54, -0.46, -0.46, -0.33, -0.15, -0.07, 
##     -0.3, -0.38, 0, 0.18, 0.11, -0.02, -0.11, -0.25, -0.21, -0.08, 
##     0.1, 0.26, 0.23, 0.3, 0.44, 0.41, 0.33, 0.3, 0.41, 1.12, 
##     0.51, 0.05, 0.64, 0.67, 0.28, -0.02, -0.13, -0.48, -0.54, 
##     -0.59, -0.59, -0.69, -0.61, -0.52, -0.54, -0.56, -0.57, -0.51, 
##     -0.46, -0.41, -0.34, -0.33, -0.34, -0.41, -0.43, -0.38, -0.28, 
##     -0.15, -0.18, -0.56, -0.57, -0.59, -0.56, -0.46, -0.33, -0.31, 
##     -0.44, -0.44, -0.56, -0.52, -0.41, -0.38, -0.34, -0.26, -0.21, 
##     -0.07, -0.07, -0.08, -0.03, -0.41, -0.34, -0.21, -0.21, -0.26, 
##     -0.15, -0.11, -0.11, -0.16, -0.21, -0.28, -0.49, -0.48, -0.52, 
##     -0.49, -0.54, -0.48, -0.44, -0.34, -0.25, -0.25, -0.28, -0.36, 
##     -0.61, -0.54, -0.36, -0.16, -0.15, -0.13, -0.15, -0.33, -0.52, 
##     -0.69, -0.66, -0.56, -0.36, -0.13, -0.1, -0.33, -0.38, -0.48, 
##     -0.51, -0.41, -0.23, -0.11, 0, -0.05, -0.13, -0.11, -0.13, 
##     0.08, 0.26, 0.13, 0.03, -0.05, -0.1, -0.21, -0.3, -0.44, 
##     -0.49, -0.33, -0.3, -0.33, -0.23, -0.16, -0.13, -0.11, -0.25, 
##     -0.16, -0.16, -0.23, -0.21, -0.13, -0.1, -0.11, -0.38, -0.44, 
##     -0.48, -0.16, -0.23, -0.34, -0.44, -0.48, -0.38, -0.39, -0.33, 
##     -0.34, -0.28, -0.23, -0.34, -0.43, -0.38, -0.28, -0.39, -0.11, 
##     0, 0.05, -0.08, -0.15, -0.26, -0.1, 0.13, 0.08, 0.05, -0.07, 
##     -0.15, -0.2, -0.26, -0.3, -0.36, -0.34, -0.33, -0.33, -0.36, 
##     -0.11, -0.18, -0.21, -0.28, -0.26, -0.23, -0.25, -0.26, -0.34, 
##     -0.34, -0.36, -0.26, -0.28, -0.2, -0.23, -0.3, -0.46, -0.41, 
##     -0.38, -0.34, -0.25, -0.25, -0.23, -0.52, -0.33, -0.21, -0.31, 
##     -0.25, -0.41, -0.44, -0.39, -0.38, -0.26, -0.08, 0.31, -0.13, 
##     -0.21, -0.31, -0.36, -0.23, 0.05, -0.1, -0.31, -0.3, -0.31, 
##     -0.23, -0.25, -0.34, -0.39, -0.39, -0.41, -0.38, -0.3, -0.2, 
##     -0.28, -0.25, -0.33, -0.34, -0.03, -0.02, -0.25, -0.52, -0.36, 
##     -0.31, -0.26, -0.26, -0.33, -0.39, -0.43, -0.46, -0.21, -0.07, 
##     -0.05, 0.23, 0.25, -0.18, -0.11, -0.2, -0.15, -0.13, -0.15, 
##     -0.2, -0.1, -0.11, -0.16, -0.23, -0.31, -0.28, -0.38, -0.33, 
##     -0.23, -0.23, -0.31, -0.28, -0.34, -0.36, -0.38, -0.46, -0.54, 
##     -0.39, -0.41, -0.33, -0.3, -0.28, -0.21, -0.36, -0.44, -0.44, 
##     -0.39, -0.41, -0.44, -0.46, -0.31, -0.23, -0.92, -0.74, -0.75, 
##     -0.75, -0.75, -0.75, -0.75, -0.75, -0.74, -0.74, -0.74, -0.74, 
##     -0.74, -0.74, -0.77, -0.87, -0.72, -0.72, -0.72, -0.72, -0.72, 
##     -0.72, -0.72, -0.72, -0.72, -0.72, -0.72, -0.46, -0.31, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, 0.25, 0.43, 0.46, 0.07, -0.33, -0.26, -0.36, -0.43, 
##     -0.43, -0.31, -0.3, -0.43, -0.41, -0.43, -0.61, -0.61, -0.61, 
##     -0.61, -0.61, -0.61, -0.61, -0.61, -0.61, -0.61, -0.61, -0.61, 
##     -0.56, -0.39, -0.2, 0.13, 0, 0.02, 0, 0.02, 0.03, 0.07, -0.07, 
##     -0.15, -0.15, -0.08, -0.08, -0.08, -0.08, -0.05, 0, 0.05, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 1.1, 0.03, -0.02, 0.05, 0.05, 
##     0.2, 0.2, 0.1, 0.1, 0.08, -0.18, -0.2, -0.3, -0.18, -0.07, 
##     -0.08, -0.08, -0.02, 0.05, 0.07, 0.07, 0.02, -0.11, -0.56, 
##     -0.61, -0.59, -0.54, -0.46, -0.38, -0.28, 0.03, 0.28, 0.33, 
##     0.38, 0.2, 0.13, 0.1, 0.08, 0.08, 0.08, 0.13, 0.13, 0.15, 
##     0.15, 0.15, 0.16, 0.3, 0.34, 0.21, 0.25, -0.03, -0.2, -0.28, 
##     -0.33, -0.1, -0.08, -0.07, -0.02, -0.02, 0.03, 0.02, -0.05, 
##     -0.23, -0.23, -0.23, -0.08, 0.03, 0.02, -0.08, -0.07, -0.48, 
##     -0.57, -0.61, -0.52, -0.41, -0.23, 0.11, 0.2, 0.3, 0.36, 
##     0.38, 0.28, 0.21, 0.2, 0.21, 0.2, 0.26, 0.28, 0.26, 0.26, 
##     0.3, 0.18, 0.15, 0.13, 0.08, -0.05, -0.23, -0.15, -0.1, -0.02, 
##     0.03, 0.08, 0, 0, 0, -0.21, -0.36, -0.11, -0.13, -0.2, -0.11, 
##     -0.11, -0.11, -0.2, -0.28, -0.36, -0.34, -0.26, -0.18, -0.03, 
##     0.28, 0.34, 0.33, 0.26, 0.23, 0.23, 0.16, 0.2, 0.23, 0.23, 
##     0.2, 0.16, 0.16, 0.18, 0.21, 0.28, 0.3, 0.26, 0.28, 0.26, 
##     0.36, 0.23, -0.05, -0.02, -0.03, -0.08, -0.25, -0.11, -0.1, 
##     0.08, 0.15, -0.08, -0.11, -0.13, -0.13, -0.13, -0.13, -0.13, 
##     -0.13, -0.13, -0.13, -0.13, -0.13, -0.13, -0.13, -0.13, -0.13, 
##     -0.13, -0.13, -0.13, -0.13, -0.13, -0.15, -0.2, -0.15, 0, 
##     0.16, 0.28, 0.28, 0.31, 0.28, 0.3, 0.25, 0.25, 0.25, 0.25, 
##     0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.03, 
##     0.02, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.05, -0.05, -0.03, 
##     -0.03, -0.11, -0.1, 0, 0.08, 0.08, 0.08, 0.05, 0, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, -0.05, -0.02, 
##     0.02, 0, -0.02, -0.03, 0.02, 0, 0, -0.02, 0, 0, -0.1, -0.1, 
##     -0.1, -0.18, -0.26, -0.3, -0.3, -0.31, -0.28, -0.26, -0.25, 
##     -0.23, -0.21, -0.26, -0.28, -0.26, -0.2, -0.18, -0.07, -0.13, 
##     -0.08, -0.26, -0.23, -0.3, -0.36, -0.15, -0.11, -0.05, -0.02, 
##     0.21, 0.2, 0.31, 0.52, 0.56, 0.46, 0.46, 0.71, 0.52, 0.69, 
##     0.51, 0.41, 0.44, 0.25, 0.36, 0.3, 0.21, 0.11, 0.08, 0.11, 
##     0.15, 0.2, 0.18, -0.13, -0.16, -0.1, 0.02, 0.05, -0.07, -0.15, 
##     -0.23, -0.21, -0.15, -0.03, -0.05, -0.11, -0.18, -0.39, -0.57, 
##     -0.52, -0.48, -0.26, -0.25, -0.28, -0.2, -0.2, -0.26, -0.33, 
##     -0.26, 0, 0.15, 0.39, 0.43, 0.56, 0.62, 0.71, 0.59, 0.52, 
##     0.61, 0.49, 0.38, 0.34, 0.36, 0.3, 0, 0.07, 0.1, 0.05, 0.13, 
##     0.03, -0.07, -0.05, -0.15, 0.21, 0.39, 0.49, 0.52, 0.36, 
##     0.61, 0.48, 0.11, 0.23, 0.03, 0.1, 0.28, 0.31, 0.38, 0.46, 
##     -0.15, -0.1, 0.02, 0.07, 0.05, -0.13, -0.2, -0.16, -0.18, 
##     -0.21, -0.23, -0.28, -0.34, -0.41, -0.36, -0.36, -0.38, -0.41, 
##     -0.28, -0.2, -0.18, -0.1, -0.07, -0.05, -0.11, -0.23, -0.28, 
##     -0.23, -0.21, -0.16, -0.08, 0.02, 0.05, 0.1, 0.23, 0.38, 
##     0.48, 0.51, 0.39, 0.44, 0.52, 0.43, 0.38, 0.34, 0.26, 0.2, 
##     0.2, 0.18, 0.21, 0.21, 0.25, -0.03, 0, 0, 0.02, -0.03, 0.08, 
##     -0.15, -0.21, -0.16, -0.16, -0.2, -0.25, -0.13, -0.15, -0.1, 
##     -0.13, -0.21, -0.33, -0.33, -0.3, -0.3, -0.21, -0.2, -0.2, 
##     -0.2, 0.16, 0.13, 0.3, 0.26, 0.2, 0.2, 0.13, 0.16, -0.28, 
##     -0.2, -0.08, -0.08, -0.23, -0.21, 0.15, 0.07, -0.1, -0.33, 
##     -0.36, -0.38, 0.11, 0.25, 0.33, 0.21, 0.1, -0.05, -0.21, 
##     -0.46, -0.33, -0.26, -0.2, -0.13, -0.08, -0.05, -0.03, -0.03, 
##     0.26, 0.31, 0.67, 0.74, 0.87, 0.82, 0.61, 0.56, 0.43, -0.07, 
##     -0.41, -0.39, -0.34, -0.16, -0.18, -0.25, -0.26, -0.28, -0.2, 
##     0.08, -0.08, -0.02, 0.03, 0.07, 0.03, -0.13, -0.3, -0.13, 
##     -0.02, 0, -0.21, -0.15, -0.34, -0.31, -0.3, -0.13, -0.08, 
##     -0.03, 0.11, 0.15, 0.2, 0.36, 0.36, 0.2, 0.26, 0.2, 0.1, 
##     0.05, 0.38, 0.23, 0.02, 0.03, 0.08, 0.1, 0.02, -0.21, 0.1, 
##     -0.08, -0.23, -0.07, -0.02, 0.08, 0.05, -0.05, -0.1, -0.02, 
##     0.13, -0.07, -0.16, -0.26, -0.28, -0.21, -0.15, -0.08, -0.05, 
##     -0.1, -0.31, -0.39, -0.41, -0.34, -0.26, -0.25, -0.18, -0.13, 
##     -0.02, 0.08, 0.1, 0.2, 0.28, 0.26, -0.3, -0.34, -0.33, -0.13, 
##     -0.13, -0.33, -0.38, -0.38, -0.39, -0.36, -0.26, -0.23, -0.16, 
##     -0.11, -0.05, 0.03, 0.31, 0.34, 0.3, 0.13, 0.18, 0.1, 0.08, 
##     0.11, 0.03, -0.03, -0.1, -0.25, -0.2, -0.16, -0.15, -0.05, 
##     0.02, 0.02, 0.08, 0.07, -0.02, -0.11, -0.08, 0.05, 0.03, 
##     0.08, 0.15, 0.21, 0.18, 0.2, 0.08, -0.07, -0.1, -0.34, -0.36, 
##     -0.39, -0.31, -0.11, -0.1, -0.13, -0.11, -0.11, 0.07, 0.11, 
##     0.21, 0.43, 0.44, 0.31, 0.51, 0.64, 0.52, 0.49, 0.28, 0.26, 
##     0.31, 0.33, 0.05, -0.11, 0.02, -0.25, -0.38, -0.31, -0.13, 
##     -0.25, -0.31, -0.26, -0.25, -0.15, -0.08, -0.03, -0.03, -0.05, 
##     0, 0.05, 0.07, 0.08, 0.03, 0.02, 0.03, 0.03, -0.03, -0.07, 
##     -0.07, -0.05, -0.15, -0.16, -0.1, -0.08, -0.07, 0.03, -0.08, 
##     -0.21, -0.25, -0.52, -0.59, -0.59, -0.71, -1.2, -0.95, -0.51, 
##     -0.79, -0.71, -0.66, -0.56, -0.57, -0.03, -0.05, -0.1, -0.43, 
##     -0.72, -0.94, -0.98, -1.23, -1.31, -1.28, -1.26, -1.3, -1.43, 
##     -1.57, -1.61, -1.44, -1.36, -1.23, -0.69, -0.66, -0.71, -0.98, 
##     -1.03, -1.31, -0.97, -0.54, -0.34, -0.15, 0.08, 0, -0.15, 
##     -0.28, -0.36, -0.43, -0.46, -0.44, -0.39, -0.38, -0.36, -0.44, 
##     -0.43, -0.39, -0.41, -0.38, -0.36, -0.41, -0.34, -0.43, -0.41, 
##     -0.36, -0.36, -0.36, -0.39, -0.36, -0.34, -0.36, -0.36, -0.38, 
##     -0.41, -0.41, -0.38, -0.34, -0.43, -0.51, -0.41, -0.41, -0.39, 
##     -0.39, -0.46, -0.36, -0.36, -0.36, -0.36, -0.38, -0.33, -0.43, 
##     -0.39, -0.46, -0.44, -0.33, -0.36, -0.38, -0.28, 0.03, -0.08, 
##     -0.13, -0.13, -0.21, -0.28, -0.36, -0.41, -0.57, -0.36, 0.07, 
##     -0.05, -0.21, -0.43, -0.48, -0.52, -0.54, -0.2, -0.11, 0.07, 
##     0.18, 0.15, 0.07, 0.07, 0.15, 0.33, 0.1, -0.05, -0.43, -0.39, 
##     -0.54, -0.52, -0.54, -0.41, -0.3, -0.13, -0.15, -0.25, -0.36, 
##     -0.38, -0.44, -0.46, -0.41, -0.34, -0.31, -0.33, -0.03, 0.05, 
##     0, -0.05, -0.36, -0.79, -0.87, -0.84, -0.62, -0.64, -0.69, 
##     -0.74, -0.84, -0.8, -0.67, -0.52, -0.36, -0.18, 0.15, 0.13, 
##     0.08, -0.03, -0.05, -0.03, -0.36, -0.49, -0.48, -0.62, -0.71, 
##     -0.52, -0.13, -0.05, -0.43, -0.64, -0.48, -0.38, -0.3, -0.38, 
##     -0.43, -0.38, -0.13, -0.11, -0.36, -0.74, -0.79, -0.75, -0.59, 
##     -0.61, -0.67, -0.79, -0.77, -0.8, -0.23, -0.18, -0.1, -0.05, 
##     0.05, 0.13, 0.16, 0.03, -0.02, 0.07, 0.11, 0.15, 0.07, -0.21, 
##     -0.23, -0.11, -0.28, -0.3, -0.43, -0.41, -0.41, -0.39, -0.46, 
##     -0.38, -0.39, -0.36, -0.28, -0.23, -0.18, -0.15, -0.25, -0.44, 
##     -0.82, -0.84, -0.74, -0.43, -0.08, -0.26, -1.77, -1.05, -0.03, 
##     0.07, 0.08, -0.02, -0.03, 0.02, 0.07, 0.07, 0.07, 0.1, 0.03, 
##     0.13, 0.33, 0.34, 0.34, 0.21, -0.11, -0.25, -0.28, -0.3, 
##     -0.34, -0.3, -0.33, -0.43, -0.44, -0.41, -0.3, -0.08, -0.1, 
##     -0.02, -0.77, -1.05, -0.85, -0.66, -0.67, -0.89, -1.05, -0.59, 
##     0.07, 0.3, 0.02, 0.18, 0.3, 0.02, 0.03, -0.03, -0.1, -0.13, 
##     -0.74, -0.67, -0.57, -0.3, -0.31, -0.34, -0.39, -0.48, -0.48, 
##     -0.16, -0.16, -0.26, -0.34, -0.36, -0.49, -0.74, -0.62, -0.48, 
##     -1.08, -1.13, -1.07, -0.92, -0.64, -0.38, -0.31, -0.2, -0.07, 
##     0.03, 0.16, 0.28, 0.26, 0.18, 0.13, 0.08, 0.16, 0.16, 0.07, 
##     -0.07, -0.38, -0.23, -0.28, -0.15, -0.23, -0.33, -0.43, -0.41, 
##     -0.38, -0.34, -0.28, -0.25, -0.46, -0.59, -0.25, -0.44, -0.62, 
##     -0.94, -0.67, -0.38, -0.52, -0.71, -1.21, -0.2, 0.07, 0.25, 
##     0.07, -0.05, 0.02, 0.33, -0.07, -0.1, -0.08, 0.08, 0.1, -0.02, 
##     -0.26, -0.33, -0.36, -0.44, -0.56, -0.67, -0.69, -0.67, -1.02, 
##     -1.28, -1.21, -0.95, -0.79, -0.72, -0.59, -0.25, 0.08, -0.02, 
##     -0.1, -0.07, -0.43, -1.18, -1.23, -0.98, -0.46, -0.26, -0.03, 
##     0.03, -0.05, -0.07, 0.07, 0.11, 0.38, 0.21, 0.05, -0.16, 
##     -0.1, -0.08, -0.18, -0.33, -0.43, -0.33, -0.39, -0.43, -0.51, 
##     -0.25, -0.54, -0.3, -0.56, -0.62, -0.72, -0.79, -0.74, -0.67, 
##     -0.66, -0.51, -0.75, -0.95, -1, -0.87, -0.71, -0.46, -0.3, 
##     0.02, 0.16, 0.03, -0.03, 0.15, 0.25, 0.2, -0.07, -0.28, -0.26, 
##     -0.33, -0.38, -0.49, -0.94, -0.25, -0.15, -0.1, -0.18, -0.3, 
##     -0.56, -0.54, -0.31, -0.25, -0.16, -0.25, -0.3, -0.3, -0.21, 
##     -0.38, -0.51, -0.57, -0.75, -0.77, -0.9, -1.21, -0.89, -0.97, 
##     -0.95, -1.25, -1.16, -0.95, -0.41, -0.34, -0.34, -0.38, -0.28, 
##     -0.3, -0.31, -0.31, -0.28, -0.28, -0.38, -0.38, -0.34, -0.46, 
##     -0.46, -0.43, -0.41, -0.49, -0.33, -0.31, -0.44, -0.39, -0.38, 
##     -0.44, -0.41, -0.43, -0.41, -0.41, -0.43, -0.41, -0.41, -0.41, 
##     -0.41, -0.43, -0.41, -0.34, -0.33, -0.34, -0.39, -0.3, -0.07, 
##     0.15, 0.05, 0.21, 0.31, 0.43, 0.48, 0.26, 0.23, -0.52, -0.48, 
##     -0.44, -0.08, 0.1, 0.02, 0, 0.03, -0.02, -0.11, -0.28, -0.51, 
##     -0.89, -1.49, -0.85, -0.46, -0.16, -0.44, -0.2, -0.1, -0.02, 
##     0, -0.03, -0.03, 0, -0.13, -0.31, -0.75, -0.9, -1.03, -1.15, 
##     -1.26, -1.39, -1.53, -1.59, -1.43, -1.21, -1, -1.18, -1.16, 
##     -0.79, -0.85, -0.75, -0.94, -1.13, -0.67, -0.43, -0.56, -0.66, 
##     -0.54, -0.51, -1.38, -0.41, -0.39, -0.41, -0.46, -0.44, -0.46, 
##     -0.49, -0.39, -0.43, -0.46, -0.46, -0.48, -0.38, -0.43, -0.43, 
##     -0.39, -0.36, -0.36, -0.36, -0.38, -0.39, -0.41, -0.39, -0.41, 
##     -0.44, -0.44, -0.46, -0.48, -0.52, -0.52, -0.48, 0.11, 0.07, 
##     0.1, 0.02, -0.02, -0.03, 0.02, 0, -0.08, -0.16, -0.16, -0.15, 
##     -0.13, -0.16, -0.15, -0.08, -0.11, -0.2, -0.21, -0.34, -0.43, 
##     -0.39, -0.38, -0.43, -0.71, -0.66, -0.15, -0.2, -0.33, -0.21, 
##     -0.1, 0.25, 0.16, 0.1, 0.07, 0.07, 0.02, -0.03, -0.11, -0.18, 
##     -0.16, -0.2, -0.2, -0.25, -0.26, -0.33, -0.41, -0.44, -0.43, 
##     -0.44, -0.62, -0.75, -0.85, -0.57, -0.54, -0.41, -0.33, -0.21, 
##     -0.11, -0.08, -0.13, -0.08, -0.05, -0.05, -0.05, -0.08, 0, 
##     0.15, 0.15, 0.13, 0.13, 0.13, 0.15, 0.16, 0.25, 0.33, 0.39, 
##     0.39, 0.52, 0.56, 0.56, 0.07, 0.11, 0.16, 0.13, 0.08, 0.08, 
##     0.07, 0.2, 0.28, 0.08, 0.02, -0.26, -0.26, -0.23, -0.2, -0.18, 
##     -0.15, -0.13, -0.08, -0.03, -0.18, -0.15, 0.08, 0.11, 0.07, 
##     -0.08, -0.16, -0.16, -0.13, -0.1, -0.1, -0.03, -0.03, -0.02, 
##     0.05, 0.3, 0.1, -0.02, -0.15, -0.3, -0.18, -0.18, -0.26, 
##     -0.39, -0.3, -0.28, -0.3, -0.28, -0.25, -0.18, -0.15, -0.28, 
##     -0.49, -0.26, -0.3, -0.21, -0.15, -0.08, 0.02, 0.1, 0.21, 
##     0.08, 0.16, 0.2, 0.25, -0.15, -0.11, -0.08, -0.08, -0.1, 
##     -0.13, -0.03, -0.03, 0, 0.02, 0.03, 0.02, 0.02, 0.03, -0.02, 
##     0.02, 0, -0.05, -0.03, -0.05, -0.07, -0.2, -0.16, -0.03, 
##     -0.1, -0.05, -0.07, 0.05, 0.13, 0.1, 0.02, -0.11, -0.15, 
##     -0.13, -0.1, -0.07, -0.03, 0, -0.05, -0.1, -0.15, -0.16, 
##     -0.13, -0.13, -0.11, -0.11, -0.15, -0.16, -0.23, -0.1, -0.05, 
##     -0.07, -0.07, 0.02, 0.18, 0.23, 0.2, 0.1, 0.07, 0.07, 0.05, 
##     0.02, 0, 0.07, 0.08, -0.18, -0.16, -0.16, -0.2, -0.18, -0.16, 
##     -0.16, -0.15, -0.11, -0.13, -0.13, -0.15, -0.11, -0.16, -0.15, 
##     -0.15, -0.16, -0.2, -0.23, -0.23, -0.15, -0.16, -0.18, -0.25, 
##     -0.3, -0.28, -0.26, -0.21, -0.18, -0.18, -0.21, -0.13, -0.11, 
##     -0.13, -0.2, -0.16, -0.16, -0.11, -0.02, -0.02, 0.07, 0.07, 
##     -0.07, -0.16, -0.18, -0.15, -0.16, -0.26, -0.23, -0.34, -0.34, 
##     -0.25, -0.23, -0.23, -0.18, -0.18, -0.16, -0.16, -0.15, -0.15, 
##     -0.15, -0.11, -0.1, -0.1, -0.11, -0.07, -0.08, -0.13, -0.15, 
##     -0.13, -0.13, -0.21, -0.25, -0.33, -0.39, -0.44, -0.48, -0.46, 
##     -0.38, -0.28, -0.16, -0.16, -0.13, -0.11, -0.03, -0.11, -0.11, 
##     -0.23, -0.25, -0.15, -0.15, -0.16, -0.11, -0.1, -0.11, -0.16, 
##     -0.39, -0.46, -0.36, -0.21, -0.1, -0.1, -0.13, -0.15, -0.16, 
##     -0.18, -0.1, -0.26, -0.1, 0.08, 0.28, 0.38, 0.25, 0.25, 0.13, 
##     0.05, -0.03, -0.03, -0.03, -0.02, -0.03, -0.03, 0.02, -0.13, 
##     -0.23, -0.26, -0.13, -0.1, -0.11, -0.18, -0.2, -0.11, -0.15, 
##     -0.21, -0.11, -0.11, -0.1, -0.03, -0.08, -0.08, -0.15, -0.13, 
##     0.07, 0.08, 0.07, 0.08, 0.15, 0.1, 0.02, -0.13, -0.16, -0.18, 
##     -0.21, -0.25, -0.28, -0.26, -0.23, -0.21, -0.16, -0.13, -0.11, 
##     -0.15, -0.18, -0.2, -0.23, -0.25, -0.26, -0.16, 0.11, 0.2, 
##     0.16, 0.13, 0.11, 0.34, 0.46, 0.46, 0.54, 0.72, 0.57, 0.46, 
##     0.38, 0.31, 0.26, 0.21, 0.16, 0.02, -0.13, -0.25, -0.21, 
##     -0.2, -0.21, -0.26, -0.28, -0.28, -0.25, -0.23, -0.26, -0.28, 
##     -0.28, -0.23, -0.21, -0.36, -0.56, -0.54, -0.57, -0.43, -0.38, 
##     -0.36, -0.34, -0.3, -0.25, -0.15, -0.2, -0.28, -0.33, -0.36, 
##     -0.39, -0.34, -0.1, -0.02, 0.11, 0.18, 0.15, 0.11, 0.02, 
##     0.05, 0.02, -0.03, -0.07, -0.11, -0.15, -0.15, -0.18, -0.23, 
##     -0.18, -0.13, -0.11, -0.13, -0.18, -0.2, -0.23, -0.16, -0.13, 
##     -0.15, -0.16, -0.16, -0.1, -0.07, -0.11, -0.08, -0.11, -0.13, 
##     -0.15, -0.15, -0.11, -0.07, -0.11, -0.07, -0.11, -0.18, -0.18, 
##     -0.16, -0.26, -0.21, -0.18, -0.13, -0.2, -0.08, 0.05, 0.16, 
##     0.07, -0.41, -0.48, -0.11, -0.23, -0.07, 0, 0, -0.1, -0.2, 
##     -0.28, -0.21, 0.05, 0.08, 0.15, 0.13, 0.07, 0.03, 0.05, -0.02, 
##     0.07, 0.07, 0.03, 0.02, -0.08, -0.11, -0.13, -0.15, -0.21, 
##     -0.26, -0.2, -0.15, -0.16, -0.18, -0.18, -0.18, -0.15, -0.13, 
##     -0.11, -0.05, -0.02, -0.02, -0.03, -0.1, -0.08, 0.18, 0.21, 
##     0, -0.15, -0.15, -0.21, -0.21, -0.15, -0.11, -0.25, -0.38, 
##     -0.28, -0.33, -0.03, -0.31, -0.23, -0.11, -0.05, -0.03, 0, 
##     0.05, 0.03, -0.03, -0.07, -0.11, -0.11, -0.15, 0, 0.02, 0, 
##     0.03, 0.08, 0.11, 0, 0, 0.23, 0.33, 0.38, 0.3, 0.31, 0.11, 
##     -0.02, -0.02, -0.08, -0.13, -0.25, -0.31, -0.23, -0.13, 0.08, 
##     0.03, -0.05, -0.26, -0.31, -0.31, -0.26, -0.23, -0.25, -0.11, 
##     -0.08, -0.11, -0.07, -0.05, 0, -0.07, -0.11, -0.18, -0.2, 
##     -0.48, -0.21, -0.15, -0.21, 0, 0.05, -0.02, -0.02, -0.13, 
##     -0.13, -0.3, -0.31, -0.25, -0.18, -0.13, -0.13, -0.1, -0.08, 
##     -0.18, -0.1, -0.11, 0, 0.11, 0.08, 0.03, -0.05, -0.15, -0.2, 
##     -0.23, -0.26, -0.11, -0.08, -0.08, -0.08, -0.08, -0.1, -0.1, 
##     -0.21, -0.23, -0.05, 0.03, 0.21, 0.25, 0.25, 0.25, 0.25, 
##     -0.21, -0.18, -0.15, -0.16, -0.11, -0.08, 0, 0.05, 0.21, 
##     0.15, 0.1, 0.11, 0.03, -0.13, -0.08, -0.11, -0.15, 0.15, 
##     -0.03, -0.03, -0.05, 0.08, 0.16, 0.13, -0.03, -0.1, -0.18, 
##     -0.28, -0.23, -0.21, -0.18, -0.2, -0.25, -0.26, -0.25, -0.25, 
##     -0.21, -0.16, -0.1, -0.11, -0.13, -0.1, -0.13, -0.07, -0.08, 
##     -0.11, -1.13, -1.12, -0.72, -0.43, 0.1, 0.03, -0.07, -0.18, 
##     -0.43, -0.39, -0.43, -0.44, -0.46, -0.57, -0.69, -0.79, -0.74, 
##     -0.62, -0.51, -0.34, -0.1, -0.71, -0.56, -0.11, -0.16, -0.18, 
##     -0.18, -0.2, -0.23, -0.2, -0.15, -0.18, 0, 0.18, 0.3, 0.39, 
##     0.84, 0.82, 0.38, 0.57, 0.38, 0.26, 0.21, 0.36, 0.39, -0.13, 
##     -0.23, -0.33, -0.33, -0.34, -0.3, -0.11, -0.08, -0.08, -0.03, 
##     -0.16, -0.16, -0.13, -0.07, 0.03, 0.1, 0.13, 0.1, -0.1, -0.18, 
##     -0.28, -0.11, -0.18, -0.3, -0.38, -0.26, -0.21, -0.26, -0.28, 
##     -0.46, -0.56, -0.36, -0.13, -0.15, -0.1, -0.08, -0.1, -0.18, 
##     -0.15, -0.1, -0.08, -0.08, -0.1, -0.03, 0.03, -0.05, -0.1, 
##     -0.07, 0.07, 0.07, 0.02, 0.02, 0.05, 0.08, 0.05, 0.03, 0.02, 
##     0.02, -0.02, -0.05, -0.02, -0.23, -0.28, -0.18, -0.05, -0.07, 
##     0, -0.02, -0.05, 0, -0.05, -0.08, -0.07, -0.05, -0.05, -0.02, 
##     0, 0.07, 0.11, 0.13, 0.08, 0.02, -0.02, -0.02, -0.08, -0.1, 
##     -0.05, 0.07, 0.08, 0.07, 0.03, -0.02, -0.03, -0.07, -0.11, 
##     -0.15, -0.2, -0.25, -0.26, -0.2, -0.1, -0.07, -0.05, -0.07, 
##     -0.1, -0.11, -0.11, -0.13, -0.08, -0.02, 0, -0.05, -0.02, 
##     0.07, 0.08, 0.1, 0.11, 0.03, 0, 0.02, 0.02, -0.05, -0.02, 
##     -0.07, -0.1, -0.1, -0.05, -0.03, -0.08, -0.13, -0.13, -0.02, 
##     -0.1, -0.15, -0.07, 0, 0.05, 0.03, 0.05, 0.03, 0, -0.07, 
##     -0.16, -0.16, -0.13, -0.15, -0.2, -0.21, -0.18, -0.02, 0.05, 
##     0.11, 0.16, 0.18, 0.16, 0.02, -0.02, -0.03, 0, 0, 0, -0.03, 
##     -0.05, -0.08, -0.15, -0.18, -0.15, -0.15, -0.13, -0.13, -0.13, 
##     -0.08, -0.05, -0.07, 0.02, 0.03, 0, 0, 0.07, 0.08, -0.07, 
##     -0.1, -0.05, -0.11, -0.16, -0.11, -0.08, -0.1, -0.11, -0.13, 
##     -0.11, -0.11, -0.07, -0.03, -0.08, -0.15, -0.1, -0.13, -0.1, 
##     -0.08, -0.13, -0.15, -0.08, -0.08, -0.07, 0.08, 0.13, 0.18, 
##     -0.08, -0.3, -0.26, -0.16, -0.11, -0.08, -0.05, -0.08, -0.1, 
##     -0.08, -0.07, -0.05, 0, 0.03, 0.08, 0.11, 0.07, 0.05, 0.11, 
##     0.07, 0.07, -0.03, -0.11, -0.16, -0.05, -0.03, 0, 0.05, 0.05, 
##     0.03, 0.07, 0.02, 0, -0.03, -0.11, -0.07, -0.05, -0.11, -0.18, 
##     -0.2, -0.16, -0.2, -0.23, -0.21, -0.18, -0.2, -0.25, -0.25, 
##     -0.23, -0.13, -0.05, -0.05, -0.07, -0.02, 0.02, 0.02, -0.02, 
##     -0.03, 0.1, 0.11, 0.15, 0.15, 0.13, 0.11, 0.13, 0.05, 0, 
##     -0.03, -0.1, -0.08, -0.1, -0.13, -0.13, -0.1, -0.15, -0.15, 
##     0.03, -0.05, -0.11, -0.1, 0.03, 0.07, -0.02, -0.05, -0.1, 
##     -0.05, -0.03, -0.02, -0.02, -0.02, 0, 0.07, 0.08, 0.07, 0.07, 
##     0.03, -0.02, -0.1, -0.11, -0.2, -0.23, -0.26, -0.21, -0.18, 
##     -0.18, -0.2, -0.18, -0.16, -0.16, -0.13, -0.07, -0.05, -0.07, 
##     -0.1, -0.08, -0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0.02, 
##     0.03, 0.05, 0, -0.07, -0.07, -0.07, -0.07, -0.16, -0.23, 
##     -0.25, -0.25, -0.26, -0.1, -0.08, -0.05, -0.05, -0.08, -0.16, 
##     -0.13, -0.11, -0.1, -0.07, 0.16, 0.13, 0.07, -0.13, -0.18, 
##     -0.18, -0.05, -0.05, -0.08, -0.11, -0.08, -0.11, -0.1, -0.18, 
##     -0.2, -0.18, 0.13, 0.11, 0.13, 0.16, 0.18, 0.1, 0.08, 0.07, 
##     0.08, 0.08, 0.07, -0.02, -0.02, 0.02, 0, -0.02, -0.18, -0.38, 
##     -0.02, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.16, 
##     -0.13, -0.25, -0.26, -0.18, -0.18, -0.15, -0.15, -0.08, -0.1, 
##     -0.1, -0.08, -0.08, -0.08, -0.1, -0.07, -0.03, -0.02, -0.02, 
##     0.02, 0.07, 0.07, 0, 0.1, 0, -0.16, -0.13, -0.13, -0.07, 
##     0.03, -0.02, -0.11, -0.16, -0.15, -0.16, -0.13, 0.02, 0.02, 
##     -0.02, -0.08, -0.08, -0.03, 0.11, 0.08, 0.11, 0.08, 0, -0.05, 
##     -0.05, -0.07, -0.03, -0.05, -0.11, -0.13, -0.2, -0.2, -0.11, 
##     -0.07, 0, -0.03, -0.1, -0.15, -0.2, -0.11, -0.07, 0.13, 0.15, 
##     0.15, 0.15, 0.07, 0.03, 0.02, -0.02, -0.07, -0.23, -0.2, 
##     -0.13, -0.11, -0.11, -0.07, -0.05, -0.08, -0.15, -0.18, -0.11, 
##     -0.03, -0.11, -0.15, -0.1, -0.18, -0.21, -0.84, -0.75, -0.13, 
##     -0.1, -0.1, -0.08, -0.02, -0.34, -0.38, -0.3, -0.3, -0.38, 
##     -0.39, -0.38, -0.38, -0.36, -0.34, -0.34, -0.34, -0.38, -0.39, 
##     -0.64, -0.97, -1.12, -1.05, -1.02, -0.79, -0.41, -0.26, 0.03, 
##     0.43, 0.57, 0.66, 0.72, 0.92, 0.52, 0.03, -0.39, -0.33, -0.13, 
##     -0.18, -0.49, -0.69, -0.64, -0.64, -0.56, -0.51, -0.61, -0.52, 
##     -0.43, -0.41, -0.38, 0.15, -0.05, 0.07, -0.05, -0.18, -0.15, 
##     -0.39, -0.49, -0.52, -0.3, -0.67, -0.64, -0.33, -0.3, -0.1, 
##     -0.02, 0.03, 0.08, 0.23, 0.25, 0.16, 0.13, 0.11, 0.16, 0.16, 
##     0.18, 0.23, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.18, -0.18, -0.16, -0.13, -0.08, -0.08, -0.02, 0, 
##     0.03, 0.07, 0.1, 0.15, 0.18, 0.1, -0.07, -0.21, -0.13, -0.2, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, -0.34, 
##     -0.33, -0.36, -0.38, -0.36, -0.28, -0.25, -0.46, -0.41, -0.15, 
##     -0.16, -0.26, -0.36, -0.39, -0.51, -0.61, -0.61, -0.13, -0.18, 
##     -0.3, -0.36, -0.46, -0.44, -0.44, -0.52, -0.41, -0.33, -0.33, 
##     -0.52, -0.49, -0.59, -0.54, -0.39, 0.34, 0.41, 0.38, 0.2, 
##     -0.07, -0.13, -0.15, -0.18, -0.16, -0.26, -0.39, -0.34, -0.3, 
##     -0.25, -0.3, -0.31, -0.21, -0.23, -0.28, -0.13, -0.05, -0.25, 
##     -0.49, -0.39, -0.48, -0.38, -0.15, -0.08, -0.03, -0.11, -0.18, 
##     -0.11, -0.2, -0.13, 0.21, 0.25, 0.15, 0.07, 0, -0.1, -0.15, 
##     -0.31, -0.2, -0.07, -0.11, -0.18, -0.25, -0.3, -0.28, -0.11, 
##     0, 0.11, 0.25, -0.08, -0.2, -0.26, -0.15, -0.18, -0.2, -0.1, 
##     -0.08, -0.2, -0.13, -0.15, -0.07, -0.11, -0.31, -0.51, -0.52, 
##     -0.61, -0.3, -0.26, -0.26, -0.23, -0.25, -0.31, -0.3, -0.33, 
##     -0.44, -0.48, -0.36, -0.3, -0.26, -0.1, 0.21, 0.36, -0.2, 
##     -0.08, -0.02, 0.02, -0.13, -0.2, -0.2, -0.18, -0.13, -0.1, 
##     -0.02, -0.02, 0, -0.02, -0.07, 0.02, -0.07, -0.05, -0.05, 
##     -0.05, -0.1, -0.11, -0.08, -0.1, -0.16, -0.2, -0.26, -0.31, 
##     -0.25, -0.33, -0.13, -0.16, -0.15, -0.13, -0.13, -0.18, -0.36, 
##     -0.48, -0.57, -0.61, -0.41, -0.46, -0.51, -0.39, -0.44, -0.18, 
##     -0.13, -0.05, 0.03, 0.23, -0.07, -0.05, -0.05, -0.05, -0.08, 
##     -0.07, -0.02, -0.08, -0.11, -0.11, -0.05, -0.28, -0.18, -0.2, 
##     -0.2, -0.13, -0.05, 0, 0.03, -0.03, -0.03, -0.08, -0.05, 
##     0.11, 0.2, 0.23, 0.16, 0.26, 0.34, 0.23, 0.21, 0, 0.05, 0.15, 
##     0.11, -0.3, -0.3, -0.39, -0.38, -0.31, -0.13, -0.07, -0.02, 
##     -0.02, 0.05, 0.07, 0.05, 0.03, 0.1, -0.03, -0.08, 0.03, -0.07, 
##     -0.03, -0.13, -0.2, -0.23, -0.15, 0.02, 0.03, 0.03, -0.03, 
##     -0.05, -0.02, 0.02, 0.08, 0.23, 0.31, 0.31, 0.3, 0.26, 0.23, 
##     -0.13, -0.13, -0.13, -0.25, -0.15, -0.07, -0.05, 0.02, -0.07, 
##     -0.03, -0.13, -0.11, -0.13, 0.05, 0.07, 0.18, 0.18, 0.11, 
##     0.13, 0.21, 0, 0, 0.1, 0.16, 0.08, 0.07, 0.03, -0.03, 0.02, 
##     0.08, 0.1, 0.11, 0.05, 0.03, -0.1, -0.16, -0.21, -0.21, -0.25, 
##     -0.3, -0.31, -0.28, -0.23, -0.21, -0.18, -0.16, -0.16, -0.15, 
##     -0.11, -0.07, -0.11, -0.08, -0.08, -0.13, -0.15, -0.11, -0.15, 
##     -0.15, -0.16, -0.15, -0.15, -0.13, -0.08, -0.08, -0.08, -0.1, 
##     -0.11, -0.1, -0.1, -0.13, -0.15, -0.13, -0.1, -0.1, -0.3, 
##     -0.31, -0.18, -0.31, -0.3, -0.21, -0.26, -0.26, -0.33, -0.25, 
##     -0.23, -0.21, -0.15, -0.08, 0.1, 0.02, -0.05, -0.13, -0.16, 
##     -0.18, -0.2, -0.3, -0.34, -0.48, -0.38, -0.3, -0.23, -0.25, 
##     -0.28, -0.34, -0.39, -0.39, -0.34, -0.41, -0.36, -0.43, -0.36, 
##     -0.28, -0.13, -0.1, -0.11, -0.21, -0.3, -0.36, -0.41, -0.38, 
##     -0.38, -0.38, -0.38, -0.31, -0.36, -0.3, -0.49, -0.52, -0.3, 
##     -0.41, -0.07, -0.07, -0.31, -0.44, -0.49, -0.51, -0.52, -0.54, 
##     -0.51, -0.49, -0.57, -0.54, -0.41, -0.26, -0.21, -0.2, -0.07, 
##     0.07, 0.03, -0.21, -0.33, -0.3, -0.23, -0.25, -0.3, -0.36, 
##     -0.38, -0.23, -0.28, -0.25, -0.36, -0.34, -0.23, -0.13, -0.15, 
##     -0.16, -0.26, -0.31, -0.25, -0.26, -0.33, -0.1, -0.02, 0.1, 
##     0.2, 0.2, 0.11, -0.05, -0.31, -0.46, -0.38, -0.18, -0.13, 
##     -0.2, -0.2, -0.18, -0.41, -0.48, -0.51, -0.36, -0.28, -0.34, 
##     -0.36, -0.28, -0.26, -0.36, -0.48, -0.56, -0.61, -0.61, -0.56, 
##     -0.41, -0.28, -0.34, -0.34, -0.26, -0.25, -0.16, -0.13, -0.3, 
##     -0.62, -0.71, -0.67, -0.56, -0.36, -0.28, 0.03, 0.31, 0.28, 
##     0.13, 0.1, 0.03, -0.28, -0.3, -0.23, -0.28, -0.25, -0.3, 
##     -0.28, -0.28, -0.33, -0.33, -0.33, -0.36, -0.36, -0.31, -0.34, 
##     -0.33, -0.34, -0.36, -0.34, -0.34, -0.26, -0.3, -0.15, -0.23, 
##     -0.21, -0.23, -0.2, -0.25, -0.56, -0.61, -0.51, -0.33, -0.38, 
##     -0.38, -0.21, -0.46, -0.39, -0.31, 0, -0.07, -0.2, -0.2, 
##     -0.18, -0.2, -0.23, -0.28, -0.26, -0.25, -0.23, -0.26, -0.26, 
##     -0.25, -0.18, -0.18, -0.33, -0.3, -0.43, -0.49, -0.26, -0.28, 
##     -0.33, -0.36, -0.34, -0.33, -0.33, -0.28, -0.26, -0.21, -0.18, 
##     -0.16, -0.26, -0.28, -0.38, -0.36, -0.38, -0.38, -0.38, -0.44, 
##     -0.43, -0.43, -0.39, -0.38, -0.56, -0.59, -0.49, -0.44, -0.39, 
##     0.07, 0.11, 0.02, 0.07, -0.11, -0.21, -0.21, -0.23, -0.36, 
##     -0.36, -0.43, -0.43, -0.36, -0.3, -0.21, -0.18, -0.16, -0.23, 
##     -0.2, -0.2, -0.25, -0.21, -0.23, -0.03, -0.03, -0.03, -0.03, 
##     -0.07, -0.2, -0.21, -0.23, -0.07, -0.1, -0.2, -0.28, -0.49, 
##     -0.56, -0.66, -0.56, -0.52, -0.41, -0.28, -0.23, -0.2, -0.2, 
##     -0.2, -0.1, 0.11, -0.07, -0.1, -0.25, -0.28, -0.23, -0.25, 
##     -0.26, -0.23, -0.25, -0.26, -0.25, -0.25, -0.26, -0.26, -0.38, 
##     -0.38, -0.44, -0.39, -0.34, -0.25, -0.25, -0.28, -0.51, -0.34, 
##     -0.2, -0.28, -0.3, 0.05, 0.11, 0.1, 0.16, 0.1, -0.05, -0.16, 
##     -0.38, -0.26, -0.44, -0.31, -0.2, -0.41, -0.28, -0.21, -0.3, 
##     -0.34, -0.39, -0.31, -0.21, 0, 0.03, 0.02, -0.21, -0.23, 
##     -0.21, -0.21, -0.28, -0.25, -0.28, -0.26, -0.23, -0.2, -0.2, 
##     -0.21, -0.1, -0.08, -0.25, -0.39, -0.34, -0.2, -0.36, -0.41, 
##     -0.36, -0.23, -0.05, 0.03, 0.1, 0.11, -0.38, -0.44, -0.51, 
##     -0.44, -0.41, -0.31, -0.3, -0.26, -0.3, -0.34, -0.25, -0.11, 
##     -0.13, -0.18, -0.2, -0.23, -0.18, -0.16, -0.26, -0.3, -0.3, 
##     -0.26, -0.23, 0.05, 0.07, 0, -0.13, -0.11, -0.18, -0.18, 
##     -0.11, -0.08, -0.03, 0, 0.13, 0.23, 0.25, 0.31, 0.28, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     0, 0.07, 0.05, 0.02, 0.02, 0.08, 0.2, 0.2, 0.13, 0.05, 0, 
##     -0.02, -0.08, -0.2, -0.2, -0.03, -0.02, -0.02, 0, 0.03, 0.08, 
##     0.16, 0.21, 0.3, 0.25, 0.2, 0.25, 0.21, 0.1, -0.02, -0.08, 
##     -0.07, 0.07, 0.07, 0.08, 0.03, -0.13, -0.18, -0.03, 0.03, 
##     0.03, 0, -0.02, -0.02, 0.05, 0.08, 0.07, 0.07, 0.02, 0.25, 
##     0.08, 0.02, -0.02, -0.15, -0.15, -0.13, -0.05, -0.03, 0, 
##     0.11, 0.13, 0.18, 0.25, 0.38, 0.46, 0.41, 0.28, 0.15, -0.02, 
##     -0.18, -0.3, -0.31, -0.26, -0.15, -0.13, -0.11, -0.1, 0.13, 
##     0.18, 0.15, 0.15, 0.11, 0.11, 0.11, 0.1, 0.07, 0.03, 0, 0.03, 
##     0.05, 0.07, 0.08, 0.05, 0, -0.08, -0.08, -0.15, -0.13, -0.05, 
##     0.05, 0.05, 0.02, -0.03, -0.02, -0.05, -0.07, 0.03, 0.02, 
##     -0.02, -0.1, -0.18, -0.16, -0.11, -0.05, -0.07, 0.2, 0.23, 
##     0.23, 0.21, 0.21, 0.18, -0.03, -0.03, -0.05, -0.07, -0.07, 
##     -0.15, -0.18, -0.18, -0.21, -0.11, 0.05, 0.1, 0.25, -0.1, 
##     -0.13, -0.11, -0.13, -0.07, -0.08, -0.11, -0.08, -0.1, -0.11, 
##     -0.16, -0.16, -0.16, -0.15, -0.08, 0.03, 0.16, 0.21, 0.31, 
##     0.34, 0.36, 0.3, 0.18, 0.11, -0.02, -0.21, -0.2, 0, 0.03, 
##     0.03, 0.05, 0.03, 0.03, 0.03, 0.05, 0.08, 0.08, -0.02, 0.02, 
##     0.03, 0.03, 0.03, 0.02, 0.08, 0.07, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.07, -0.11, 
##     -0.05, 0.02, 0.02, -0.03, -0.21, 0, -0.08, -0.07, -0.07, 
##     0.05, 0.16, 0.15, 0.08, 0.08, 0.15, 0.02, -0.1, -0.61, -0.67, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.8, -1.07, 
##     -1.03, -0.69, -0.46, 0.16, 0.25, 0.44, 0.41, 0.03, 0.07, 
##     0.16, 0.2, 0.31, 0.23, 0.25, 0.2, 0.1, 0.02, -0.02, -0.11, 
##     -0.08, -0.18, 0.02, 0.07, 0.03, -0.2, -0.26, -0.3, -0.2, 
##     -0.13, -0.1, -0.07, -0.11, 0.1, 0.08, -0.02, -0.05, -0.23, 
##     -0.41, -0.3, -0.18, -0.36, -0.56, -0.57, -0.57, -0.57, -0.51, 
##     -0.43, -0.38, -0.3, -0.46, -0.31, -0.03, -0.03, -0.3, -0.74, 
##     -1.12, -0.95, -0.89, -0.66, -0.21, 0.11, 0.38, 0.69, 0.69, 
##     0.62, 0.43, 0.23, 0.16, 0.07, 0.23, 0.2, 0.33, 0.39, 0.49, 
##     0.38, 0.33, 0.03, -0.05, -0.08, 0.2, 0.08, -0.07, -0.2, -0.15, 
##     -0.07, -0.05, -0.41, -0.34, -0.28, -0.3, -0.11, 0.02, 0.08, 
##     0.15, 0.11, 0.18, 0.15, -0.44, -0.46, -0.59, -0.59, -0.61, 
##     -0.51, -0.49, -0.46, -0.38, -0.07, -0.16, -0.43, -0.38, -0.28, 
##     0.13, 0.15, 0.13, 0.08, 0.15, 0.16, 0.15, 0, -0.03, -0.02, 
##     0.02, -0.02, -0.05, 0.28, 0.23, 0.23, 0.2, 0.08, 0.07, 0.11, 
##     -0.07, -0.11, -0.03, 0.13, 0.1, -0.08, -0.11, -0.18, -0.31, 
##     -0.46, -0.48, -0.13, -0.18, 0.26, 0.26, 0.1, -0.07, -0.15, 
##     -0.3, -0.39, -0.39, -0.39, -0.39, -0.39, -0.49, -0.49, -0.56, 
##     -0.56, -0.56, -0.56, -0.62, -0.62, -0.62, -0.59, -0.51, -0.46, 
##     -0.2, -0.03, 0.15, 0.08, -0.75, -0.97, -0.39, 0.21, 0.3, 
##     0.39, 0.39, 0.41, 0.39, 0.26, 0.15, 0.11, 0.16, 0.26, 0.15, 
##     0.11, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 0.03, 
##     0.03, 0.33, 0.28, 0.21, 0.23, 0.25, 0.25, 0.23, 0.23, 0.23, 
##     -0.02, 0.02, -0.03, -0.02, 0.03, 0.03, 0.02, 0.02, 0.03, 
##     0.03, 0.03, -0.15, -0.16, -0.15, -0.11, -0.2, -0.21, -0.25, 
##     -0.18, 0.05, 0.13, 0.34, 0.15, 0.13, 0.11, -0.05, -0.08, 
##     -0.08, -0.08, 0, 0.05, 0.05, 0.03, 0.13, 0.39, 0.36, 0.34, 
##     0.46, 0.44, 0.66, 0.41, 0.28, 0.36, 0.38, 0.33, 0.16, 0.03, 
##     0.13, 0.25, -0.2, -0.3, -0.28, -0.18, -0.11, -0.07, -0.08, 
##     -0.1, -0.11, -0.02, 0, 0.03, -0.02, -0.03, -0.05, -0.13, 
##     -0.21, -0.1, -0.03, 0.03, 0.02, -0.08, -0.11, -0.13, -0.16, 
##     -0.1, 0.03, 0.1, 0.18, 0.31, 0.28, 0.41, 0.31, 0.31, 0.26, 
##     0.23, 0.16, 0.08, 0.02, 0.2, 0.1, 0.05, 0.18, 0.21, -0.07, 
##     -0.07, -0.16, -0.26, -0.3, -0.28, -0.26, -0.16, -0.15, -0.11, 
##     -0.08, -0.05, -0.02, 0.02, 0, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, -0.05, -0.05, -0.1, -0.07, -0.1, -0.08, -0.11, -0.08, 
##     -0.03, 0.02, 0, -0.02, -0.03, -0.07, -0.13, -0.07, -0.02, 
##     0.1, 0.07, 0.13, 0.11, 0.2, 0.18, 0.08, 0.1, 0.23, 0.11, 
##     0.31, 0.21, 0.03, 0.07, 0.07, -0.05, -0.13, -0.18, -0.31, 
##     -0.38, -0.16, -0.13, -0.13, -0.05, -0.05, -0.08, -0.1, -0.07, 
##     0, 0.03, 0.03, -0.03, 0.08, -0.2, -0.18, -0.03, -0.1, 0.05, 
##     0.05, 0, -0.1, -0.16, 0.07, 0, 0.11, 0.18, 0.28, 0.25, 0.23, 
##     0.16, 0.25, 0.05, 0.07, 0.02, 0.11, 0.02, 0.02, -0.02, -0.46, 
##     -0.23, -0.18, -0.02, 0, -0.03, 0.02, 0.05, 0.05, 0.15, -0.03, 
##     -0.1, -0.1, -0.08, -0.13, -0.15, -0.05, -0.03, -0.02, 0.11, 
##     0.3, 0.28, 0.31, 0.31, 0.15, 0.08, 0.2, 0.16, 0.15, 0.16, 
##     0.15, 0.08, 0.05, 0.11, 0.18, 0.07, -0.13, -0.13, -0.02, 
##     -0.02, -0.1, -0.08, -0.16, -0.15, -0.11, -0.03, 0, 0.05, 
##     0.13, 0.16, -0.02, -0.11, -0.18, -0.16, 0.03, -0.1, -0.21, 
##     -0.18, -0.15, -0.2, -0.25, -0.15, -0.11, -0.07, -0.08, -0.1, 
##     -0.05, -0.05, -0.08, -0.07, -0.03, 0.1, 0.21, 0.31, 0.25, 
##     0.11, -0.08, -0.08, -0.02, -0.02, -0.16, -0.2, -0.08, -0.15, 
##     -0.15, 0.02, 0.03, 0.02, 0.05, 0.11, 0.33, 0.3, 0.21, 0.31, 
##     0.25, 0.31, 0.13, 0.26, 0.05, -0.05, -0.02, 0.02, -0.03, 
##     -0.11, -0.21, -0.38, -0.33, -0.23, -0.13, -0.48, -0.48, -0.44, 
##     -0.38, -0.39, -0.43, -0.39, -0.38, -0.31, -0.48, -0.54, -0.52, 
##     -0.51, -0.49, -0.56, -0.66, -0.67, -0.52, -0.44, -0.3, -0.2, 
##     0, 0.1, 0.08, 0.05, 0.13, 0.15, -0.87, -0.98, -0.84, -0.07, 
##     -0.3, -0.36, -0.41, -0.46, -0.39, -0.39, -0.39, -0.39, -0.39, 
##     -0.43, -0.34, -0.33, -0.31, -0.28, -0.28, -0.34, -0.39, -0.36, 
##     -0.34, -0.33, -0.34, -0.36, -0.41, -0.44, -0.28, -0.34, -0.44, 
##     -0.48, -0.48, -0.48, -0.52, -0.56, -0.41, 0.03, -0.39, -0.3, 
##     -0.26, -0.23, -0.25, -0.28, -0.38, -0.36, -0.34, -0.33, -0.36, 
##     -0.36, -0.39, -0.43, -0.38, -0.34, -0.3, -0.3, -0.3, -0.26, 
##     -0.21, 0.02, 0.11, -0.07, -0.25, -0.39, -0.34, -0.43, -0.48, 
##     -0.52, -0.36, -0.49, -0.43, -0.23, -0.3, -0.41, -0.54, -0.59, 
##     -0.59, -0.64, -0.8, -0.39, -0.31, -0.48, -0.48, -0.48, -0.03, 
##     0.11, -0.07, 0.13, -0.02, -0.16, 0.15, 0.05, -0.23, -0.21, 
##     -0.36, -0.66, -0.85, -1.05, -0.52, -0.52, -0.46, -0.31, -0.03, 
##     -0.07, 0.11, -0.2, -0.2, -0.39, -0.38, -0.25, -0.18, -0.33, 
##     -0.66, -0.89, -0.61, -0.33, -0.26, -0.2, -0.15, -0.15, -0.33, 
##     -0.41, -0.48, -0.44, -0.41, -0.26, -0.25, -0.67, -0.75, -0.79, 
##     -0.69, -0.71, -0.49, -0.3, -0.2, -0.26, -0.3, -0.34, -0.36, 
##     -0.08, -0.16, -0.3, -0.31, -0.07, -0.3, -0.33, -0.38, -0.57, 
##     -0.51, -0.41, -0.44, -0.38, -0.16, -0.15, -0.11, -0.1, -0.1, 
##     -0.11, -0.16, -0.23, -0.26, -0.25, -0.33, -0.43, -0.39, -0.36, 
##     -0.44, -0.67, -0.71, -0.38, -0.33, -0.33, -0.48, -0.39, -0.3, 
##     -0.16, -0.02, 0, -0.07, -0.05, -0.02, -0.02, -0.31, -0.38, 
##     -0.36, -0.33, -0.33, -0.38, -0.52, -0.26, -0.21, -0.13, -0.16, 
##     -0.34, -0.38, -0.54, -0.61, -0.71, -0.71, -0.67, -0.56, -0.57, 
##     -0.56, -0.56, -0.41, -0.38, -0.48, -0.56, -0.34, -0.1, 0.07, 
##     -0.15, -0.1, -0.1, -0.15, -0.31, -0.33, -0.23, -0.16, -0.36, 
##     -0.49, -0.56, -0.43, -0.34, -0.26, -0.28, -0.31, -0.36, -0.49, 
##     -0.54, -0.77, -0.82, -0.62, -0.64, -0.64, -0.62, -0.56, -0.48, 
##     -0.34, -0.41, -0.51, -0.61, -0.52, -0.18, 0, 0.03, -0.03, 
##     0.03, -0.03, -0.1, -0.03, -0.34, -0.46, -0.49, -0.36, -0.28, 
##     -0.18, -0.11, -0.07, 0.11, -0.02, -0.18, -0.15, -0.08, -0.25, 
##     -0.28, -0.28, -0.36, -0.31, -0.44, -0.46, -0.33, -0.39, -0.33, 
##     -0.25, -0.33, -0.48, -0.48, -0.44, -0.38, -0.26, -0.21, -0.54, 
##     -0.67, -0.82, -0.74, -0.54, -0.26, -0.44, -0.33, -0.79, -0.46, 
##     -0.08, 0.02, -0.15, -0.25, -0.23, -0.15, -0.21, -0.16, -0.3, 
##     -0.23, -0.18, -0.34, -0.54, -0.56, -0.36, -0.31, -0.3, -0.34, 
##     -0.43, -0.44, -0.49, -0.48, -0.34, -0.41, -0.57, -0.85, -0.71, 
##     -0.62, -0.44, -0.36, -0.33, -0.33, -0.36, -0.36, -0.26, -0.21, 
##     0.08, 0.13, -0.11, -0.46, -0.26, -0.31, -0.25, -0.31, -0.33, 
##     -0.36, -0.74, -0.43, -0.31, -0.28, -0.33, -0.34, -0.34, -0.38, 
##     -0.36, -0.36, -0.34, -0.36, -0.41, -0.44, -0.43, -0.39, -0.41, 
##     -0.39, -0.41, -0.43, -0.41, -0.39, -0.41, -0.43, -0.43, -0.43, 
##     -0.39, -0.41, -0.43, -0.41, -0.43, -0.36, -0.44, -0.41, -0.38, 
##     -0.38, -0.39, -0.38, -0.38, -0.44, -0.46, -0.48, -0.56, -0.33, 
##     -0.38, -0.33, -0.33, -0.33, -0.33, -0.33, -0.31, -0.3, -0.34, 
##     -0.39, -0.39, -0.36, -0.39, -0.39, -0.38, -0.39, -0.34, -0.34, 
##     -0.38, -0.39, -0.1, -0.08, -0.07, 0.02, 0.11, 0.13, 0.11, 
##     0.11, 0.16, 0.2, 0.2, 0.2, 0.15, 0.07, 0.08, 0.1, -0.05, 
##     -0.11, -0.15, -0.2, -0.3, -0.21, -0.21, -0.1, -0.05, 0, -0.21, 
##     -0.21, -0.08, -0.08, -0.07, 0.1, -0.02, 0.31, 0.31, 0.28, 
##     0.39, 0.34, 0.31, 0.25, 0.23, -0.15, -0.15, -0.23, -0.31, 
##     -0.34, -0.33, -0.26, -0.28, -0.3, -0.3, -0.3, -0.25, -0.21, 
##     -0.08, -0.02, 0.03, 0.03, -0.15, -0.18, -0.23, -0.23, -0.23, 
##     -0.23, -0.21, -0.25, -0.21, -0.33, -0.31, -0.31, -0.33, -0.36, 
##     -0.38, -0.3, -0.25, -0.21, -0.15, -0.16, -0.18, -0.2, -0.3, 
##     -0.36, -0.39, -0.43, -0.41, 0.79, 0.71, 0.56, 0.52, 0.46, 
##     0.41, 0.39, 0.3, 0.28, 0.13, 0.13, 0.05, 0.03, 0.05, 0.1, 
##     0.08, 0.08, 0.08, 0.05, 0.02, -0.05, -0.11, -0.16, -0.21, 
##     -0.31, -0.33, -0.3, -0.23, -0.23, -0.21, -0.13, -0.15, -0.02, 
##     -0.05, -0.07, -0.13, -0.15, -0.23, -0.21, -0.28, -0.31, -0.18, 
##     -0.11, 0.08, 0.07, 0.03, 0.05, 0.05, 0.05, 0.02, -0.05, -0.11, 
##     -0.18, -0.28, -0.2, -0.1, -0.08, -0.07, -0.11, -0.07, -0.02, 
##     0, -0.05, -0.05, -0.03, -0.03, -0.07, -0.08, -0.05, -0.02, 
##     -0.05, -0.11, -0.15, -0.18, -0.18, -0.21, -0.21, -0.18, -0.18, 
##     -0.15, -0.15, -0.05, -0.11, -0.18, -0.15, -0.25, -0.11, -0.13, 
##     -0.11, -0.11, -0.11, -0.26, -0.28, -0.21, -0.21, -0.11, -0.11, 
##     -0.13, -0.11, -0.15, -0.26, -0.3, -0.26, -0.26, -0.18, -0.23, 
##     -0.13, -0.15, -0.11, -0.05, 0, -0.03, -0.03, 0, -0.1, -0.03, 
##     -0.1, -0.08, -0.02, 0.02, -0.02, -0.08, -0.13, -0.1, -0.08, 
##     -0.05, -0.07, -0.03, 0.03, 0.03, 0.02, 0, -0.13, -0.02, -0.05, 
##     -0.16, -0.2, -0.2, -0.16, -0.08, -0.02, 0.05, 0.03, -0.03, 
##     -0.07, -0.08, -0.1, -0.11, -0.16, -0.23, -0.2, -0.16, -0.23, 
##     -0.15, -0.1, -0.16, -0.21, -0.2, -0.2, -0.16, -0.16, -0.16, 
##     -0.13, -0.07, -0.03, -0.03, -0.11, -0.08, -0.02, -0.07, -0.08, 
##     -0.11, -0.18, -0.16, -0.13, -0.07, -0.11, -0.13, -0.13, -0.11, 
##     -0.1, -0.1, -0.07, -0.1, -0.15, -0.03, 0.02, 0.03, -0.02, 
##     0.07, 0.16, 0.03, 0.05, -0.05, -0.03, -0.03, -0.02, 0.02, 
##     -0.03, 0, -0.21, -0.16, -0.18, -0.13, -0.1, -0.15, -0.15, 
##     -0.16, -0.16, -0.21, -0.21, -0.18, -0.2, -0.23, -0.23, -0.1, 
##     -0.08, -0.1, -0.25, -0.23, -0.34, -0.26, -0.21, -0.18, -0.16, 
##     -0.16, -0.15, -0.08, -0.07, -0.1, -0.08, -0.08, -0.07, -0.03, 
##     -0.03, -0.07, -0.07, -0.02, 0.02, -0.02, -0.26, -0.25, -0.18, 
##     -0.18, -0.13, -0.1, -0.11, -0.08, -0.08, -0.11, -0.16, -0.23, 
##     -0.26, -0.28, -0.33, -0.2, -0.05, 0.07, -0.07, -0.07, -0.1, 
##     0, -0.02, 0, -0.03, -0.05, -0.02, -0.2, -0.21, -0.18, -0.15, 
##     -0.05, -0.1, -0.08, -0.1, -0.16, -0.15, -0.16, -0.21, -0.25, 
##     -0.25, -0.23, -0.08, -0.02, 0, -0.03, -0.11, -0.13, -0.11, 
##     -0.08, -0.2, -0.34, -0.52, -0.46, -0.1, -0.03, 0.15, 0.02, 
##     0.05, -0.07, -0.1, -0.15, -0.1, -0.05, 0.1, 0.07, -0.05, 
##     -0.2, -0.16, -0.16, -0.02, -0.02, -0.05, -0.07, -0.05, -0.03, 
##     -0.07, -0.11, -0.11, -0.1, -0.1, -0.02, -0.05, -0.07, -0.05, 
##     -0.08, -0.08, -0.11, -0.15, -0.15, -0.15, -0.16, -0.13, -0.08, 
##     -0.07, -0.07, -0.08, -0.03, -0.1, -0.11, 0, 0.07, 0.13, 0.13, 
##     0.18, 0.18, 0.07, -0.02, -0.05, -0.07, 0.07, 0.16, 0.21, 
##     -0.2, 0.03, 0.02, 0.03, -0.08, -0.36, -0.51, -0.39, -0.33, 
##     -0.39, -0.38, -0.25, -0.11, 0.07, 0.33, 0.69, 0.8, 0.9, 0.02, 
##     -0.02, -0.05, -0.18, -0.08, -0.15, -0.16, -0.18, -0.18, -0.16, 
##     -0.15, -0.18, -0.11, -0.16, -0.11, -0.15, -0.2, 0, -0.18, 
##     -0.16, -0.2, -0.26, -0.23, -0.16, -0.16, -0.11, 0.03, -0.13, 
##     -0.18, -0.05, 0.11, -0.03, -0.31, -0.28, -0.26, -0.25, -0.23, 
##     -0.21, -0.2, -0.21, -0.26, -0.1, -0.16, -0.23, -0.21, -0.11, 
##     -0.16, -0.13, -0.15, -0.15, -0.18, -0.2, -0.21, -0.18, -0.2, 
##     -0.2, -0.15, -0.15, -0.07, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, -0.05, 
##     -0.23, -0.23, -0.18, -0.05, -0.07, -0.13, -0.11, -0.07, -0.07, 
##     -0.08, -0.08, -0.05, -0.05, 0.2, 0.16, 0.16, 0.05, -0.02, 
##     -0.05, -0.05, -0.15, -0.25, -0.33, -0.33, -0.28, -0.28, -0.34, 
##     -0.34, -0.25, -0.3, -0.34, -0.49, -0.54, -0.44, -0.36, -0.1, 
##     0.25, 0.43, 0.48, 0.43, 0.15, 0.07, 0, -0.11, -0.21, -0.21, 
##     -0.21, -0.21, -0.21, -0.21, -0.2, -0.16, -0.15, -0.11, -0.11, 
##     -0.11, -0.02, 0.03, 0.05, 0.05, 0.05, -0.1, 0.1, 0.08, 0.1, 
##     0.1, 0.13, 0.03, -0.05, -0.1, -0.1, -0.15, -0.26, -0.25, 
##     -0.23, -0.2, -0.07, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.18, 
##     0.18, 0.23, 0.25, 0.25, 0.3, 0.3, 0.28, 0.28, 0.28, 0.26, 
##     0.26, 0.26, 0.26, 0.26, 0.26, 0.26, 0.25, 0.23, 0.08, 0.07, 
##     0.03, -0.03, -0.05, -0.21, -0.28, -0.28, -0.2, -0.11, -0.1, 
##     0.03, -0.02, -0.13, -0.18, -0.18, -0.16, -0.16, -0.16, -0.13, 
##     -0.07, -0.05, -0.03, 0, 0.05, 0.08, 0.1, 0.1, 0.1, 0.1, 0.15, 
##     0.18, 0.21, 0.21, 0.21, 0.25, 0.21, 0.21, 0.07, 0.08, -0.11, 
##     -0.18, -0.23, -0.23, -0.2, -0.03, 0.02, 0.05, 0.02, 0, -0.05, 
##     -0.13, -0.16, -0.18, -0.15, -0.15, -0.07, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.07, 0.07, 0.05, 0.05, 0.05, 0.34, 0.26, 
##     0.16, 0.13, 0.18, 0.02, -0.05, -0.18, -0.16, -0.21, -0.03, 
##     -0.08, -0.11, -0.15, 0.03, 0.05, 0.07, 0, 0.11, 0.11, 0.11, 
##     0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 0.11, 
##     0.11, 0.05, 0.05, 0.03, 0, -0.02, -0.08, -0.08, -0.08, -0.08, 
##     -0.08, -0.07, -0.03, -0.03, -0.03, -0.03, -0.05, 0, -0.02, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, 0.08, 0.11, 0.11, 0.11, 0.16, 0.07, 0.05, 0.02, 
##     -0.13, -0.1, -0.11, -0.08, -0.15, -0.2, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 0.21, 0.21, 0.1, 
##     0.1, 0.11, 0.08, 0.02, 0.03, 0.05, -0.03, -0.08, -0.02, -0.02, 
##     -0.1, -0.16, -0.2, -0.1, 0, 0.03, -0.05, -0.11, -0.13, -0.23, 
##     -0.25, -0.08, -0.07, -0.07, -0.08, -0.13, -0.34, -0.44, -0.36, 
##     -0.16, -0.15, -0.1, -0.08, -0.03, -0.26, -0.25, -0.23, -0.23, 
##     -0.05, -0.08, -0.08, -0.11, -0.13, -0.13, -0.11, -0.16, -0.16, 
##     -0.13, -0.03, 0.26, 0.31, 0.3, 0.3, 0.28, 0.28, 0.2, 0.07, 
##     0.07, 0.07, 0.07, -0.59, -0.49, -0.43, -0.41, -0.43, -0.48, 
##     -0.46, -0.46, -0.44, -0.43, -0.41, -0.39, -0.38, -0.34, -0.36, 
##     -0.34, -0.34, -0.34, -0.34, -0.34, -0.31, -0.33, -0.34, -0.33, 
##     -0.33, -0.11, -0.39, -0.52, -0.62, -0.57, -0.48, -0.38, -0.3, 
##     -0.3, -0.3, -0.31, -0.51, -0.44, -0.43, -0.38, -0.38, -0.43, 
##     -0.49, -0.64, -0.43, -0.28, -0.31, -0.21, -0.13, -0.08, -0.02, 
##     -0.02, -0.11, -0.08, -0.13, -0.2, -0.25, -0.31, -0.38, -0.46, 
##     -0.49, -0.72, -0.67, -0.62, -0.57, -0.71, -0.57, -0.46, -0.33, 
##     -0.21, 0.03, 0.1, -0.05, -0.1, 0.02, -0.21, -0.1, -0.11, 
##     -0.49, -0.72, -0.46, -0.39, -0.2, -0.15, -0.15, -0.18, -0.25, 
##     -0.31, -0.38, -0.39, -0.31, -0.25, -0.2, 0.13, -0.15, -0.15, 
##     -0.05, -0.46, -0.31, -0.23, -0.21, 0.16, 0.38, 0.43, 0.43, 
##     0.39, 0.23, -0.85, -0.89, -0.74, -0.57, -0.8, -0.1, 0.15, 
##     0.26, -0.61, -0.23, 0.07, 0.33, 0.36, 0.34, 0.11, 0.08, 0.13, 
##     0.25, 0.31, 0.3, 0.3, 0.33, 0.38, 0.49, 0.48, 0.43, 0.26, 
##     0.2, 0.11, 0.08, 0.08, -0.15, -0.15, -0.31, -0.31, -0.31, 
##     -0.31, -0.31, -0.31, -0.31, -0.31, -0.31, -0.31, -0.56, -0.56, 
##     -0.56, -0.56, -0.56, -0.56, -0.56, -0.56, -0.56, -0.69, -0.66, 
##     -0.74, -0.66, -0.75, -0.62, -0.11, 0.18, 0.46, 0.59, -0.43, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, 
##     -0.23, -0.05, -0.05, -0.03, 0.02, 0.02, 0.05, 0.1, 0.1, 0.13, 
##     0.13, 0.13, 0.05, 0.05, -0.08, -0.15, -0.23, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, -0.23, 
##     -0.23, -0.23, -0.23, -0.23, -0.23, -0.26, -0.28, -0.25, -0.2, 
##     -0.18, -0.21, -0.23, -0.25, -0.3, -0.3, -0.28, -0.28, -0.34, 
##     -0.48, -0.48, -0.49, -0.39, -0.38, -0.33, -0.33, -0.33, -0.3, 
##     -0.3, -0.21, -0.16, -0.08, -0.57, -0.59, -0.49, -0.61, -0.54, 
##     -0.21, -0.1, 0.02, -0.13, -0.25, -0.3, -0.3, -0.39, -0.44, 
##     -0.25, -0.23, -0.15, -0.03, 0.05, 0.16, 0.26, 0.21, -0.13, 
##     -0.23, -0.2, -0.21, -0.21, -0.2, -0.2, -0.2, -0.2, -0.16, 
##     -0.16, -0.2, -0.25, -0.31, -0.25, -0.16, -0.13, -0.11, -0.1, 
##     -0.08, -0.08, -0.1, -0.07, -0.1, -0.16, -0.2, -0.07, -0.08, 
##     -0.08, -0.08, -0.05, -0.05, -0.16, -0.25, -0.3, -0.28, -0.26, 
##     -0.28, -0.3, 0.15, 0.15, 0.16, -0.2, -0.15, -0.13, -0.03, 
##     0.16, 0.07, -0.11, 0.1, -0.07, -0.15, -0.1, -0.08, -0.28, 
##     -0.33, -0.3, -0.44, -0.16, -0.03, -0.07, -0.11, -0.02, 0.03, 
##     0.08, 0.07, 0.03, -0.08, -0.07, -0.03, -0.02, 0, -0.03, -0.02, 
##     -0.03, -0.08, -0.08, 0.02, -0.05, 0, -0.02, 0.05, 0.1, 0.25, 
##     0.21, -0.1, -0.03, 0, -0.02, 0.16, 0.13, 0.08, 0.07, 0.05, 
##     0.07, 0.07, 0.07, 0.08, 0.07, 0.05, 0.07, 0.05, 0.03, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.07, 0.07, 0.08, 0.07, 0.05, 0.07, 
##     0.05, 0.1, 0.13, 0.11, 0.07, 0.1, 0.1, 0.07, 0.08, 0.05, 
##     -0.2, -0.36, -0.39, -0.25, -0.18, -0.44, -0.69, -1, -0.98, 
##     -0.95, -0.46, -0.48, -0.46, 0.56, 0.84, 0.9, 0.97, 1.15, 
##     1.33, 0.56, 0.15, 0.33, 0.44, 0.41, 0.48, 0.57, 0.56, 0.46, 
##     0.36, 0.25, 0.11, 0.1, 0.18, 0.2, 0.1, 0.08, 0.08, -0.03, 
##     -0.33, -0.39, -0.36, -0.38, -0.39, -0.26, -0.33, -0.57, -0.67, 
##     -0.75, -0.77, -0.71, -0.72, -0.64, -0.54, -0.34, -0.15, -0.03, 
##     0.05, 0.05, -0.03, 0.02, -0.25, -0.36, -0.67, -0.82, -0.52, 
##     -0.87, -0.95, -0.62, -0.44, -0.31, 0.1, 0.31, 0.64, 0.8, 
##     0.95, 1.33, 1.36, 1.72, 1.87, 1.67, 1.33, 0.67, 0.67, 0.57, 
##     0.8, 0.84, 0.41, 0.39, 0.28, 0.02, -0.07, 0.15, -0.02, -0.16, 
##     -0.21, -0.2, -0.38, -0.41, -0.57, -0.59, -0.48, -0.44, -0.54, 
##     -0.51, -0.61, -0.71, -0.74, -0.79, -0.85, -0.89, -0.34, -0.34, 
##     -0.21, -0.2, -0.23, -0.11, -0.05, -0.28, -0.36, -0.3, -0.25, 
##     -0.36, -0.49, -0.66, -0.85, -0.77, -0.72, -0.64, -0.48, -0.46, 
##     -0.31, -0.21, -0.25, -0.23, -0.2, -0.15, -0.05, 0.25, 0.38, 
##     0.8, 0.82, 0.89, 0.98, 1.07, 0.85, 0.41, 0.52, 0.49, 0.28, 
##     0.36, 0.43, 0.48, -0.89, -0.61, -0.3, -0.51, -0.43, -0.41, 
##     -0.21, -0.18, -0.18, 0, 0.03, -0.08, -0.23, 0.03, 0.13, 0.2, 
##     0.43, 0.44, 0.41, 0.41, 0.39, 0.43, 0.31, 0.23, 0.28, 0.2, 
##     0.18, 0.1, 0.16, 0.13, 0.2, 0.11, 0.07, 0.02, -0.05, -0.18, 
##     -0.26, -0.21, -0.16, -0.16, -0.2, 0.23, 0, -0.23, -0.3, -0.41, 
##     -0.41, -0.36, -0.31, -0.26, -0.16, -0.11, 0.1, 0.08, 0.16, 
##     0.34, 0.2, 0.33, 0.34, 0.11, -0.02, -0.02, -0.1, -0.3, -0.18, 
##     -0.21, -0.2, -0.16, -0.25, -0.39, -0.48, -0.59, -0.75, -0.9, 
##     -0.49, -0.34, -0.18, -0.05, 0.07, 0.31, 0.25, 0.26, 0.25, 
##     0.28, 0.3, 0.43, 0.57, 0.69, 0.67, 0.69, 0.46, 0.46, 0.23, 
##     0.11, 0.13, 0.11, 0.2, 0.25, 0.16, 0.1, 0.07, 0.02, -0.07, 
##     -0.13, -0.2, -0.18, -0.16, -0.38, -0.26, 0.02, 0.05, 0.08, 
##     0.07, 0.1, 0.05, -0.02, -0.08, 0.05, 0.02, -0.08, -0.16, 
##     -0.18, -0.11, -0.16, -0.16, -0.15, -0.15, -0.11, -0.11, -0.08, 
##     -0.11, -0.28, -0.44, -0.44, -0.46, -0.51, -0.69, -0.31, -0.15, 
##     -0.03, 0.15, 0.39, 0.51, 0.57, 0.64, 0.71, 0.51, 0.41, 0.18, 
##     -0.02, -0.11, 0.18, 0.33, 0.21, 0.21, 0.26, 0.28, 0.11, -0.23, 
##     -0.26, -0.16, -0.1, -0.11, -0.08, -0.07, -0.08, -0.08, -0.05, 
##     -0.02, -0.03, 0.08, 0.07, 0.07, 0.1, 0.08, 0.08, 0.11, 0.13, 
##     -0.21, -0.23, -0.28, -0.3, 0.44, 0.3, 0.15, -0.05, -0.36, 
##     -0.34, -0.28, -0.08, -0.07, -0.08, -0.1, -0.08, -0.08, -0.1, 
##     -0.08, 0.05, 0.07, -0.2, 0.62, 0.08, 0.2, -0.25, -0.62, -0.66, 
##     -0.48, -0.61, -0.67, -0.62, 1.05, 0.75, 0.67, 0.51, 0.44, 
##     0.2, -0.08, -0.1, -0.07, -0.03, -0.05, -0.03, -0.02, 0.03, 
##     -0.02, -0.13, -0.11, -0.15, -0.3, -0.34, -0.28, -0.23, -0.26, 
##     -0.2, -0.08, -0.1, -0.11, -0.18, 0.08, 0.1, 0, -0.16, 0.05, 
##     0.11, 0.16, 0.08, 0, -0.13, -0.61, -0.67, -0.8, -0.43, -0.57, 
##     -0.31, -0.2, -0.21, -0.05, -0.05, -0.05, -0.05, 0.13, 0.18, 
##     0.18, 0.18, 0.38, 0.48, 0.51, 0.51, 0.46, 0.39, 0.44, 0.02, 
##     0, 0, -0.02, 0, 0.05, 0.15, 0.3, 0.43, 0.41, 0.31, 0.1, -0.28, 
##     -0.23, -0.25, -0.36, -0.44, -0.44, -0.43, -0.46, -0.52, -0.49, 
##     -0.34, -0.08, -0.1, -0.08, -0.07, 0, 0.07, 0.15, 0.23, 0.23, 
##     0.21, 0.18, 0.11, 0.25, 0.36, 0.44, 0.52, 0.39, 0.26, 0.33, 
##     0.23, 0.16, -0.02, -0.07, -0.2, -0.34, -0.34, -0.3, -0.26, 
##     -0.23, -0.25, 0.03, 0.15, 0.3, 0.25, 0.66, 0.64, 0.72, 0.72, 
##     0.43, 0.33, 0.23, -0.08, -0.08, -0.11, -0.13, -0.21, -0.43, 
##     -0.07, -0.02, -0.34, -0.31, -0.31, -0.08, -0.08, -0.2, -0.44, 
##     -0.48, -0.31, -0.25, -0.38, -0.36, -0.41, -0.44, -0.71, -0.74, 
##     -0.64, -0.38, -0.18, 0.07, 0.16, 0.15, 0.11, 0.11, 0.05, 
##     -0.07, -0.13, -0.11, -0.25, 0.18, 0.13, 0.08, 0.21, 0.44, 
##     0.44, 0.38, 0.67, 0.64, 0.54, 0.59, 0.34, 0.3, 0.28, 0.33, 
##     0.28, 0.15, 0.05, -0.15, -0.18, -0.07, 0.07, 0.03, -0.13, 
##     -0.21, -0.21, -0.26, -0.41, -0.51, -0.52, -0.51, -0.49, 0.18, 
##     0.13, 0.1, 0.07, 0.07, 0.03, 0.05, 0.03, 0.02, 0.05, -0.07, 
##     -0.11, -0.15, 0.11, 0.07, -0.16, -0.02, -0.02, -0.02, -0.07, 
##     -0.2, -0.2, -0.15, -0.18, -0.2, -0.11, 0.05, 0.03, 0.1, 0.2, 
##     0.25, 0.36, 0.46, 0.51, 0.46, 0.39, 0.49, 0.49, 0.61, 0.51, 
##     0.36, -0.03, -0.11, -0.11, -0.38, -0.54, -0.54, -0.51, -0.61, 
##     -0.3, -0.26, -0.1, -0.46, -0.39, -0.3, -0.05, 0, -0.03, 0, 
##     0.02, 0.07, 0.07, 0.08, 0.07, 0.07, 0.03, -0.02, -0.02, -0.05, 
##     -0.08, -0.08, -0.07, -0.08, -0.07, -0.05, -0.11, -0.13, -0.28, 
##     -0.36, -0.33, -0.33, -0.21, -0.16, -0.15, 0, -0.05, 0.07, 
##     0.1, 0.13, -0.02, -0.07, -0.02, 0.16, 0.2, 0.23, 0.25, 0.23, 
##     0.21, 0.05, -0.02, -0.11, -0.18, -0.18, -0.02, 0.05, 0.1, 
##     0.1, 0.1, 0.08, 0.07, 0.03, 0.05, 0.13, 0.13, 0.11, 0.13, 
##     -0.18, -0.18, -0.21, -0.21, -0.21, -0.2, -0.21, -0.28, -0.23, 
##     -0.16, -0.2, -0.25, -0.33, -0.38, -0.36, -0.39, -0.34, -0.3, 
##     -0.26, -0.25, -0.2, -0.33, -0.43, -0.56, -0.43, -0.39, 0.03, 
##     -0.02, -0.03, -0.05, -0.05, -0.2, -0.18, -0.2, -0.26, -0.3, 
##     -0.28, -0.3, -0.3, -0.33, -0.36, -0.34, -0.38, -0.38, -0.34, 
##     -0.3, -0.25, -0.21, -0.25, -0.26, -0.2, -0.13, -0.05, 0.08, 
##     -0.02, -0.1, -0.34, -0.66, -0.71, -0.64, -0.59, -0.43, -0.44, 
##     -0.61, -0.51, -0.38, -0.13, -0.2, -0.25, -0.2, -0.18, -0.16, 
##     -0.2, -0.18, -0.21, -0.26, -0.25, -0.23, -0.25, -0.18, -0.23, 
##     -0.21, -0.25, -0.31, -0.36, -0.39, -0.38, -0.39, -0.39, -0.38, 
##     -0.3, -0.31, -0.25, -0.25, -0.43, -0.31, -0.26, -0.23, -0.03, 
##     -0.02, -0.28, -0.43, -0.56, -0.62, -0.56, -0.56, -0.49, -0.18, 
##     -0.2, 0.07, -0.1, -0.15, 0.03, -0.07, -0.1, -0.03, 0.02, 
##     0.05, 0.03, 0.02, -0.1, -0.25, -0.56, -0.25, 0.1, 0.13, 0.38, 
##     0.48, 0.59, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.05, 0.05, 0.39, 0.02, 0.05, 0.05, 0.05, 0.05, 0.05, 0.05, 
##     0.1, 0.1, 0.07, 0.07, 0.03, 0.03, 0.03, 0.03, 0.05, 0.02, 
##     -0.08, -0.05, -0.05, -0.13, -0.23, -0.26, -0.41, -0.59, -0.52, 
##     -0.46, -0.38, -0.31, -0.33, -0.3, -0.31, -0.31, -0.28, -0.25, 
##     -0.16, -0.16, -0.15, -0.1, 0.26, 0.26, -0.28, -0.26, -0.25, 
##     -0.2, -0.26, -0.34, -0.38, -0.39, -0.34, -0.49, -0.52, -0.44, 
##     -0.44, -0.46, -0.51, -0.48, -0.46, -0.44, -0.33, -0.2, -0.21, 
##     -0.23, -0.26, -0.26, -0.25, -0.21, -0.2, -0.13, -0.11, -0.11, 
##     -0.08, -0.03, -0.02, 0, 0.02, 0.02, 0.02, 0.1, 0.07, 0.05, 
##     0, -0.05, -0.03, -0.03, -0.13, -0.16, -0.18, -0.23, -0.36, 
##     -0.61, -0.38, -0.25, -0.33, -0.31, -0.28, -0.3, -0.36, -0.36, 
##     -0.31, -0.26, -0.25, -0.28, -0.34, -0.28, -0.2, -0.1, -0.05, 
##     -0.25, -0.15, -0.05, 0.03, -0.07, -0.08, -0.16, -0.2, -0.23, 
##     -0.43, -0.49, -0.33, -0.25, -0.34, -0.28, -0.34, -0.44, -0.39, 
##     -0.23, -0.2, -0.2, -0.39, -0.43, -0.39, -0.38, -0.2, -0.05, 
##     -0.1, -0.15, -0.1, -0.1, -0.1, -0.08, -0.18, -0.18, -0.16, 
##     -0.15, -0.16, -0.18, -0.08, -0.07, 0, 0, 0.1, 0.18, 0.25, 
##     0.18, 0.16, 0.1, 0.05, 0, -0.1, -0.18, -0.25, -0.33, -0.21, 
##     -0.23, -0.26, -0.3, -0.34, -0.41, -0.46, -0.51, -0.48, -0.51, 
##     -0.36, -0.21, -0.26, -0.18, 0.03, -0.15, -0.21, -0.16, -0.16, 
##     -0.16, -0.16, -0.16, -0.16, -0.16, -0.41, -0.34, -0.25, -0.2, 
##     -0.15, -0.05, 0.02, 0, -0.05, -0.11, -0.3, -0.51, -0.54, 
##     -0.43, -0.33, -0.28, -0.28, -0.26, -0.26, -0.26, -0.41, -0.43, 
##     -0.39, -0.39, -0.39, -0.44, -0.34, -0.16, -0.11, 0.36, 0.34, 
##     0.36, 0.05, 0.03, 0.15, 0.18, 0.16, -0.11, -0.2, -0.28, -0.36, 
##     -0.15, -0.1, -0.28, -0.28, -0.31, -0.34, -0.2, -0.07, -0.15, 
##     -0.34, -0.2, 0, -0.02, 0.05, -0.02, -0.28, -0.28, -0.18, 
##     -0.23, -0.3, -0.23, -0.21, -0.21, -0.08, -0.15, -0.26, -0.41, 
##     -0.39, -0.49, -0.59, -0.51, -0.44, -0.43, -0.46, -0.48, -0.33, 
##     -0.26, -0.18, -0.23, -0.33, -0.33, -0.15, 0.02, 0.07, -0.13, 
##     -0.15, -0.07, 0, 0.03, 0.03, 0, -0.02, -0.05, -0.13, -0.16, 
##     -0.16, -0.2, -0.15, -0.02, 0.05, 0.13, 0.08, 0.03, 0, -0.03, 
##     -0.07, -0.03, -0.02, -0.41, -0.3, -0.13, 0.23, 0, -0.23, 
##     -0.36, -0.46, -0.57, -0.62, -0.44, -0.46, -0.43, -0.39, -0.39, 
##     -0.31, -0.3, -0.33, -0.28, -0.34, -0.39, -0.36, -0.33, -0.34, 
##     -0.36, -0.38, -0.61, -0.61, -0.51, -0.41, -0.25, -0.28, -0.52, 
##     -0.46, -0.23, -0.2, 0.1, 0.16, 0.08, 0, -0.1, -0.39, -0.3, 
##     -0.31, -0.33, -0.28, -0.33, -0.25, -0.25, -0.33, -0.08, 0.05, 
##     0.16, 0.15, 0.11, 0.11, 0.07, 0, -0.02, -0.34, -0.39, -0.44, 
##     -0.31, -0.13, -0.05, -0.07, -0.08, -0.08, -0.13, -0.1, -0.3, 
##     -0.43, -0.48, -0.43, -0.25, -0.15, -0.18, -0.21, -0.3, -0.36, 
##     -0.38, -0.33, -0.15, -0.25, -0.41, -0.44, -0.34, -0.3, -0.3, 
##     -0.28, -0.16, -0.08, -0.07, -0.08, 0.02, 0.13, 0.1, 0.05, 
##     0, 0.03, -0.03, 0, 0.03, -0.02, -0.13, -0.33, -0.43, -0.48, 
##     -0.48, -0.52, -0.43, -0.36, -0.31, -0.3, -0.3, -0.38, -0.25, 
##     -0.26, -0.25, -0.18, -0.13, -0.08, -0.13, -0.11, -0.1, -0.08, 
##     -0.15, -0.03, -0.36, -0.34, -0.3, -0.23, -0.1, 0.1, 0.11, 
##     -0.31, -0.3, -0.3, -0.38, -0.38, -0.25, -0.08, -0.08, -0.13, 
##     -0.16, -0.2, -0.28, -0.28, -0.28, -0.21, -0.26, -0.21, -0.15, 
##     -0.23, -0.3, -0.33, -0.43, -0.49, -0.41, -0.34, -0.33, -0.23, 
##     -0.23, -0.38, -0.23, -0.13, 0.02, 0.03, -0.11, -0.28, -0.43, 
##     -0.51, -0.49, -0.51, -0.48, -0.39, -0.34, -0.3, -0.33, -0.34, 
##     -0.31, -0.26, -0.34, -0.38, -0.2, -0.05, -0.08, -0.1, -0.03, 
##     -0.2, -0.3, -0.41, -0.48, -0.3, -0.25, -0.25, -0.46, -0.41, 
##     -0.11, -0.07, 0, 0.02, -0.2, -0.28, -0.52, -0.39, -0.34, 
##     -0.23, -0.23, -0.23, -0.21, -0.18, -0.18, -0.13, -0.1, -0.08, 
##     -0.07, 0, 0.13, 0.1, 0.08, 0.1, 0.13, 0.18, 0.23, 0.23, 0.25, 
##     0.15, -0.13, 0.05, 0.11, -0.85, -0.98, -0.9, -0.49, -0.18, 
##     -0.46, -0.49, -0.44, -0.46, -0.31, -0.25, -0.31, -0.33, -0.36, 
##     -0.38, -0.33, -0.33, -0.31, -0.31, -0.28, -0.25, -0.21, -0.11, 
##     -0.07, -0.07, -0.18, -0.23, -0.3, -0.34, -0.21, -0.25, -0.38, 
##     -0.43, -0.59, -0.59, -0.57, -0.25, -0.23, -0.31, -0.46, -0.66, 
##     -0.64, -0.18, -0.2, -0.79, -0.82, -0.69, -0.54, -0.33, -0.25, 
##     -0.13, -0.2, -0.2, -0.16, -0.13, -0.11, -0.07, -0.18, -0.2, 
##     -0.21, -0.21, -0.2, -0.18, -0.2, -0.18, -0.16, -0.16, -0.18, 
##     -0.21, -0.25, -0.25, -0.28, 0, 0, 0, 0.02, 0.03, 0.05, 0.07, 
##     0.07, 0.05, 0.02, 0.05, -0.1, -0.18, -0.31, -0.33, -0.21, 
##     -0.15, -0.13, 0, 0.16, 0.36, 0.52, 0.62, 0.66, 0.71, 0.8, 
##     0.51, 0.39, 0.23, 0.15, 0.07, 0, -0.05, -0.08, -0.05, -0.1, 
##     -0.08, -0.02, -0.05, -0.02, -0.03, -0.02, 0.03, 0.13, 0.18, 
##     0.11, 0.05, -0.05, 0.07, 0.08, 0.11, 0.08, 0.15, 0.1, 0.07, 
##     0.39, 0.48, 0.49, 0.51, 0.39, 0.33, 0.34, 0.18, 0.15, 0.15, 
##     0.13, 0.07, -0.07, -0.13, -0.15, -0.25, -0.28, -0.25, -0.18, 
##     0.05, 0.05, -0.05, -0.1, -0.05, -0.08, 0.1, 0.11, 0.1, 0, 
##     0.08, 0.2, 0.2, 0.25, -0.05, -0.11, -0.13, -0.15, -0.03, 
##     -0.03, 0.05, 0.28, 0.23, 0.13, 0.1, 0.08, 0.11, 0.21, 0.36, 
##     0.28, 0.28, 0.28, 0.15, 0.28, 0.34, 0.41, 0.36, 0.36, 0.08, 
##     0.07, 0.02, -0.03, -0.05, -0.08, -0.16, -0.1, -0.1, -0.11, 
##     -0.13, -0.13, -0.15, -0.03, 0.03, 0.08, 0.1, -0.03, -0.2, 
##     -0.21, -0.13, -0.21, -0.2, -0.08, 0.02, -0.16, -0.2, 0.05, 
##     0.15, 0.2, 0.31, 0.31, 0.31, 0.23, 0.18, 0.21, 0.13, 0.44, 
##     0.46, 0.41, 0.34, 0.26, 0.25, 0.25, 0.21, 0.08, -0.08, -0.15, 
##     -0.18, -0.21, -0.23, -0.21, -0.25, -0.03, 0.05, 0.03, -0.21, 
##     -0.16, -0.18, -0.18, -0.13, -0.03, 0.03, 0.05, 0.11, 0.31, 
##     0.39, 0.33, 0.15, 0.11, 0.1, 0.03, -0.07, 0.13, 0.18, 0.28, 
##     0.21, 0, 0.07, 0.15, 0.21, 0.2, 0.34, 0.39, 0.26, 0.18, 0.15, 
##     0.31, 0.3, 0.23, 0.05, 0.03, -0.21, -0.26, -0.3, -0.34, -0.36, 
##     -0.13, -0.08, -0.05, -0.11, -0.13, -0.1, 0.02, 0.08, 0.08, 
##     0.26, 0.08, 0.28, 0.28, 0.15, 0.18, 0.26, 0.33, 0.33, 0.34, 
##     0.36, 0.34, 0.31, 0.28, 0.25, 0.52, 0.49, 0.33, 0.3, 0.41, 
##     0.36, 0, -0.2, -0.21, -0.31, -0.34, -0.28, -0.28, -0.25, 
##     -0.21, -0.16, 0.05, 0.07, -0.18, -0.18, -0.16, -0.18, -0.1, 
##     -0.13, -0.13, -0.1, -0.02, 0.02, -0.02, 0.34, 0.36, 0.36, 
##     0.34, 0.3, 0.3, 0.25, 0.23, 0.16, 0.21, 0.39, 0.26, 0.1, 
##     0.11, 0.1, 0.08, 0.15, 0.21, 0.25, 0.28, 0.3, 0.26, 0.25, 
##     0.28, 0.26, 0.21, -0.05, -0.08, -0.02, -0.13, -0.16, -0.16, 
##     -0.16, -0.15, -0.11, -0.03, 0.03, 0, -0.13, -0.18, -0.2, 
##     -0.15, -0.07, -0.02, -0.08, -0.07, -0.05, -0.02, 0.05, 0.07, 
##     -0.03, -0.03, 0.16, 0.26, 0.28, 0.25, 0.21, 0.28, 0.3, 0.18, 
##     0.15, 0.18, 0.15, 0.2, 0.23, 0.26, 0.34, 0.41, 0.46, 0.34, 
##     0.3, 0.26, 0.08, -0.11, -0.16, -0.21, -0.21, -0.26, -0.23, 
##     -0.07, 0.03, 0.07, 0.2, 0.05, -0.1, -0.18, -0.18, -0.08, 
##     0.03, -0.25, -0.15, -0.07, -0.11, -0.21, -0.3, -0.15, -0.15, 
##     -0.18, -0.33, -0.13, -0.1, -0.1, -0.1, -0.1, -0.1, -0.1, 
##     -0.1, -0.16, -0.16, -0.16, -0.16, -0.18, -0.3, -0.41, -0.41, 
##     -0.41, -0.41, -0.41, -0.43, -0.46, -0.46, -0.46, -0.46, -0.46, 
##     -0.46, -0.46, -0.46, -0.46, -0.23, -0.34, -0.25, -0.15, -0.21, 
##     -0.11, -0.11, 0.02, 0.1, 0.08, 0.16, 0.16, 0.18, 0.13, 0.08, 
##     0.1, 0.1, 0.13, 0.11, 0.11, 0.11, 0.11, 0.08, 0.07, 0.07, 
##     0.08, 0.05, 0.05, 0.07, 0.07, 0.05, 0.05, 0.05, 0.05, 0.07, 
##     0.05, 0.05, 0.05, 0.05, -0.34, -0.34, -0.38, -0.34, -0.3, 
##     -0.3, -0.33, -0.28, -0.26, -0.28, -0.41, -0.36, -0.38, -0.33, 
##     -0.33, -0.43, -0.38, -0.31, -0.3, -0.38, -0.43, -0.44, -0.44, 
##     -0.44, -0.43, -0.43, -0.39, -0.33, -0.28, -0.25, -0.26, -0.23, 
##     -0.51, -0.46, -0.41, -0.39, -0.36, -0.44, -0.33, -0.34, -0.36, 
##     -0.38, -0.43, -0.41, -0.39, -0.23, -0.3, -0.31, -0.31, -0.31, 
##     -0.31, -0.41, -0.41, -0.41, -0.36, -0.34, -0.38, -0.39, -0.39, 
##     -0.36, -0.36, -0.38, -0.41, -0.41, -0.38, -0.36, -0.36, -0.38, 
##     -0.36, -0.36, -0.36, -0.36, -0.36, -0.39, -0.38, -0.38, -0.38, 
##     -0.38, -0.39, -0.36, -0.38, -0.39, -0.39, -0.36, -0.36, -0.36, 
##     -0.36, -0.38, -0.36, -0.39, -0.41, -0.38, -0.38, -0.38, -0.41, 
##     -0.41, -0.39, -0.34, -0.31, -0.3, -0.28, -0.26, -0.31, -0.41, 
##     -0.59, -0.72, -0.85, -0.84, -0.79, -0.79, -0.8, -1.02, -1, 
##     -0.89, -0.84, -0.69, -0.66, -0.67, -0.74, -0.82, -0.77, -0.79, 
##     -0.64, -0.61, -0.44, -0.36, -0.28, -0.26, -0.31, -0.28, -0.31, 
##     -0.3, -0.28, -0.26, -0.3, -0.41, -0.48, -0.34, -0.25, -0.18, 
##     0.03, 0.11, -0.26, -0.36, -0.05, 0.25, 1, 0.74, 0.49, -0.02, 
##     -0.56, -0.3, 0.08, 0.43, 0.33, 0.02, -0.28, -0.21, -0.1, 
##     -0.31, -0.71, -1.48, -1.35, -0.66, -0.38, -0.48, -0.05, 0.02, 
##     0.07, 0.07, -0.79, -1.25, -0.79, -0.56, -0.26, 0.13, 0.05, 
##     0, -0.1, -0.18, -0.77, -0.89, -0.43, -0.23, -0.1, -0.18, 
##     -0.41, -0.89, -0.51, -0.62, -0.61, -0.52, -0.44, -0.41, -0.21, 
##     -0.08, -0.21, -0.56, -0.59, -1.1, -1.05, -1.18, -1.16, -1.05, 
##     -0.54, 0.23, 0.41, 0.52, 0.41, 0.23, 0.2, 0.07, -0.08, -0.28, 
##     -0.18, 0, -0.31, -0.95, -1.1, -0.41, -0.11, -0.13, -0.25, 
##     -0.3, -0.36, -0.69, -0.89, -0.98, -0.94, -0.43, -0.28, -0.28, 
##     -0.39, -0.57, -0.79, -1.2, -1.05, -0.84, -0.57, 0.25, 0.61, 
##     0.33, 0.21, -0.57, -1.74, -1.74, -1.57, -1.16, -0.66, -0.16, 
##     -0.05, -0.16, 0.34, 0.39, 0.41, 0.33, 0.25, 0.1, -0.11, -0.2, 
##     -0.39, -0.57, -0.85, -0.64, -0.71, -0.54, -0.36, -0.56, -0.59, 
##     -0.59, -0.46, -0.44, -0.28, -0.23, -0.28, -0.41, -0.16, -0.11, 
##     -0.52, -0.44, -0.46, -0.97, -0.75, -1.12, -1.38, -1.49, -0.66, 
##     -0.18, -0.03, 0.15, 0.44, 0.54, 0.54, 0.39, 0.39, 0.38, 0.31, 
##     -0.18, -0.46, -0.85, -0.92, -0.9, -0.59, -0.43, -0.48, -0.64, 
##     0.23, -0.94, -1.08, -1.07, -0.59, -0.51, -0.48, -0.49, -0.44, 
##     -0.52, -0.41, -0.15, -0.18, 0, -0.13, -0.11, -0.43, -0.28, 
##     -0.28, -0.64, -1.35, -1.59, -0.85, -0.48, -0.18, -0.21, 0.08, 
##     0.15, 0.44, -0.05, -0.08, -0.41, -0.44, -0.41, -0.52, -0.62, 
##     -0.8, -0.94, -0.03, -0.13, -0.25, -0.33, -0.84, -0.54, -0.62, 
##     -0.62, -0.38, -0.26, 0.13, 0.07, -0.11, 0.23, 0.2, -0.57, 
##     -0.62, -0.82, -0.59, -0.46, -0.36, -0.28, -0.07, 0.1, -0.08, 
##     0.13, 0.02, 0, -0.03, -0.11, -0.11, 0.16, 0.1, 0.1, -0.21, 
##     -0.82, -1.33, -1.33, -0.85, -0.66, -0.28, 0.08, 0.11, 0.03, 
##     0.05, -0.34, -0.66, -0.62, -0.75, -0.56, -0.64, -0.66, -0.72, 
##     -0.46, -0.33, -0.25, 0.11, 0.28, -0.15, -0.16, -0.11, -0.1, 
##     -0.08, -0.08, -0.11, -0.15, -0.15, -0.05, -0.03, 0.07, 0.18, 
##     0.26, 0.26, 0.15, 0.08, 0.07, 0.03, 0.03, 0.02, -0.02, -0.02, 
##     -0.07, -0.1, -0.18, -0.26, -0.31, -0.23, -0.28, -0.28, -0.21, 
##     -0.16, -0.16, -0.2, -0.2, -0.2, -0.23, -0.28, -0.3, -0.3, 
##     -0.3, -0.26, -0.26, -0.28, -0.26, -0.25, -0.21, -0.16, -0.15, 
##     -0.13, -0.11, -0.08, -0.1, -0.13, -0.11, -0.11, -0.16, -0.16, 
##     -0.15, -0.23, -0.2, -0.15, -0.16, -0.15, -0.11, -0.1, 0, 
##     -0.05, -0.16, -0.16, -0.15, -0.1, -0.1, -0.11, -0.1, -0.08, 
##     -0.07, 0, -0.11, 0.03, 0.08, 0.08, 0.03, 0.11, 0.15, 0.08, 
##     0.08, 0.11, 0.02, -0.03, -0.05, -0.1, -0.18, -0.16, -0.13, 
##     -0.13, -0.16, -0.16, -0.2, -0.2, -0.21, -0.25, -0.31, -0.31, 
##     -0.31, -0.25, -0.25, -0.25, -0.21, -0.11, -0.02, -0.07, 0.03, 
##     -0.07, -0.11, -0.11, -0.1, -0.08, -0.03, 0, -0.07, -0.11, 
##     -0.15, -0.13, -0.11, -0.03, 0, 0.02, -0.18, -0.11, -0.07, 
##     -0.03, -0.2, -0.31, -0.25, -0.11, -0.08, -0.05, -0.02, 0.03, 
##     0.13, 0.05, 0.07, 0.05, 0.03, -0.03, -0.07, -0.1, -0.07, 
##     -0.11, -0.13, -0.2, -0.25, -0.36, -0.39, -0.39, -0.38, -0.34, 
##     -0.2, -0.1, 0.08, 0.11, 0.1, 0.08, 0.07, 0.05, -0.07, -0.15, 
##     -0.16, -0.15, -0.15, -0.13, -0.08, -0.05, 0, 0.02, -0.02, 
##     -0.07, -0.15, -0.1, -0.05, -0.03, -0.03, -0.03, -0.02, -0.07, 
##     0.02, 0.02, -0.02, 0.02, 0.05, 0.05, -0.07, 0.03, 0.08, 0.15, 
##     0.25, 0.18, -0.03, -0.18, -0.1, -0.05, 0, 0.03, -0.07, -0.07, 
##     -0.28, -0.28, -0.21, -0.13, -0.2, -0.25, -0.26, -0.2, -0.21, 
##     -0.15, -0.13, -0.15, -0.13, -0.26, -0.28, -0.31, -0.34, -0.39, 
##     -0.56, -0.59, -0.62, -0.66, -0.62, -0.61, -0.05, 0.03, -0.02, 
##     -0.23, -0.18, 0.1, 0, -0.05, -0.21, -0.16, -0.3, -0.33, -0.49, 
##     -0.56, -0.57, -0.61, -0.57, -0.51, -0.38, -0.34, -0.36, -0.34, 
##     -0.33, -0.3, -0.26, -0.26, -0.28, -0.28, -0.2, -0.11, -0.08, 
##     -0.13, -0.11, -0.16, -0.16, -0.13, -0.1, -0.11, -0.03, -0.08, 
##     -0.08, -0.05, 0.03, -0.03, -0.07, -0.11, -0.2, -0.18, -0.31, 
##     -0.39, -0.36, -0.46, -0.62, -0.56, -0.54, -0.44, -0.23, -0.28, 
##     -0.31, -0.36, -0.33, -0.28, -0.25, -0.2, -0.18, -0.16, -0.13, 
##     -0.16, 0.05, 0.3, 0.77, 1.12, 1.21, 1.21, 1.2, 1.21, 1.21, 
##     1.21, 1.16, 0.95, 0.92, 0.84, 0.43, 0.39, 0.25, 0.26, 0.3, 
##     0.33, 0.34, 0.3, 0.13, 0.13, 0.18, 0.08, 0.11, 0.26, 0.23, 
##     0.05, 0.07, -0.02, -0.11, -0.11, -0.28, -0.36, -0.34, -0.36, 
##     -0.23, -0.11, -0.03, -0.84, -1.03, -1.38, -1.39, -1.3, -0.74, 
##     -0.56, -0.1, 0.08, 0.46, 0.49, 0.57, 1.1, 1.23, 1.36, 1.31, 
##     0.94, 0.71, 0.51, 0.38, 0.3, 0.39, 0.44, 0.26, 0.38, 0.34, 
##     0.36, 0.3, 0.31, 0.25, 0.08, 0.15, 0.2, 0.25, 0.18, -0.02, 
##     -0.16, -0.21, -0.34, -0.49, -0.54, -0.48, -0.52, -0.49, -0.64, 
##     -0.54, -0.54, -0.43, -0.16, -0.41, -0.39, -0.44, -0.34, -0.3, 
##     -0.28, -0.26, -0.25, -0.34, -0.36, -0.36, -0.25, -0.38, -0.51, 
##     -0.57, -0.57, -0.51, -0.38, -0.23, -0.49, -0.62, -0.94, -0.77, 
##     -0.56, -0.08, 0, 0.18, 0.36, 0.52, 0.71, 0.97, 1.12, 1.2, 
##     1.31, -0.03, -0.03, -0.07, -0.15, -0.13, -0.3, -0.3, -0.33, 
##     -0.39, -0.46, -0.51, -0.39, -0.46, -0.49, -0.28, -0.44, -0.46, 
##     -0.23, -0.11, -0.18, -0.23, -0.36, 1.31, 1.25, 0.69, 0.66, 
##     0.72, 0.67, 0.34, 0.34, 0.43, 0.59, 0.67, 0.72, 0.59, 0.39, 
##     0.13, -0.05, -0.03, 0, -0.11, -0.11, -0.13, -0.18, -0.16, 
##     -0.21, -0.2, -0.2, -0.34, -0.38, -0.39, -0.49, -0.56, -0.62, 
##     -0.56, -0.49, -0.48, -0.39, -0.43, -0.46, -0.31, -0.31, -0.38, 
##     -0.39, -0.38, -0.13, -0.05, 0.05, 0.07, 0.05, -0.03, -0.1, 
##     -0.11, -0.08, -0.03, -0.08, -0.23, -0.2, -0.18, -0.16, 0, 
##     0.07, 0.15, 0.05, 0.05, 0.03, -0.08, -0.18, -0.26, 0.61, 
##     0.92, 0.8, 0.66, 0.52, 0.34, -0.18, -0.79, -1.33, -0.97, 
##     -0.64, -0.33, -0.1, 0.33, -0.05, 0.05, 0.41, 0.82, 0.75, 
##     0.54, 0.51, 0.39, 0.08, -0.21, -0.49, -0.61, -0.89, -1.03, 
##     -1.16, -1.23, -1.1, -0.77, 0.11, 0.11, 0.08, 0.26, 0.1, -0.11, 
##     -0.3, -0.72, -1.2, -1.15, -1.15, -1.13, -1.15, -1.18, -1.25, 
##     -1.28, -1.21, -1.12, -1.07, -0.77, -0.51, -0.79, -0.72, -0.84, 
##     -0.82, -0.16, -0.05, 0.49, 0.05, -0.18, -0.31, -0.3, 0.33, 
##     0.77, 0.25, 0, -0.3, -0.41, -0.43, -0.21, -0.07, 0.03, 0, 
##     0, 0.11, -0.02, -0.13, 0.07, 0.13, 0.21, 0.13, 0.02, 0.07, 
##     0.18, 0.15, 0.25, 0.23, -0.44, -0.46, -0.67, -0.79, -0.87, 
##     -0.95, -1.03, -1.2, -1.28, -1.41, -1.16, -1.02, -0.85, -0.72, 
##     -0.57, -0.49, -0.85, -0.77, -0.74, -0.59, -0.48, -0.18, 0.02, 
##     0.05, 0.03, 0.15, 0.28, 0.23, 0.13, 0.11, -0.02, -0.08, -0.2, 
##     -0.46, -0.61, -1.16, -0.66, 0.13, 0.46, 0.49, 0.34, 0.15, 
##     0.43, 0.21, 0.28, 0.34, 0.33, 0.25, 0.23, 0.26, 0.18, 0.1, 
##     -0.03, -0.15, -0.38, -0.43, -0.3, -0.3, -0.43, -0.36, 0.1, 
##     -0.03, 0.02, 0.98, 0.97, 0.21, -0.82, -0.64, -0.43, 0.39, 
##     0.38, 0.02, 0, 0.13, -0.16, -0.02, 0.46, 0.75, 0.57, 0.13, 
##     -0.31, -0.66, -1.12, -1.15, -0.87, -0.64, -0.21, 0.03, 0.25, 
##     0.33, 0, 0, 0.25, 0.49, 0.54, 0.46, 0.15, 0.05, 0.02, -0.15, 
##     -0.48, -0.52, -1.05, -1.25, -1.35, -1.18, -1.35, -1.48, -1.31, 
##     -1.26, -1.31, -1.15, 0.52, -0.26, -0.48, -0.52, -0.98, -1.08, 
##     -1.15, -1.15, -1.13, -1.08, -0.92, -0.77, -0.87, -0.75, 0.39, 
##     -0.03, -0.02, 0.05, 0.11, 0.16, 0.07, 0.28, 0.16, -0.05, 
##     -0.26, -0.48, -0.8, -0.8, -0.59, -0.21, 0.15, 0.23, 0.18, 
##     0.3, 0.28, 0.15, 0.08, 0.49, 0.95, 0.87, -0.49, -0.28, -0.61, 
##     -0.51, -0.94, -1.23, -1.43, -1.44, -1.3, -1.08, -0.94, -0.82, 
##     -0.75, -0.64, -0.34, -0.34, -0.33, -0.57, -0.11, -0.03, -0.13, 
##     -0.38, -0.36, -0.28, -0.16, -0.16, -0.2, -0.28, -0.43, -0.39, 
##     -0.38, -0.46, -0.41, -0.41, -0.39, -0.38, -0.39, -0.41, -0.28, 
##     -0.38, -0.36, -0.36, -0.33, -0.34, -0.34, -0.36, -0.38, -0.36, 
##     -0.38, -0.38, -0.16, -0.23, -0.41, -0.52, -0.15, -0.3, -0.25, 
##     -0.26, -0.49, -0.44, -0.15, -0.02, 0.21, 0.33, 0.34, 0.25, 
##     0.1, -0.15, -0.41, -0.41, -0.28, -0.11, -0.39, -0.98, -1.12, 
##     -1.16, -1.08, -0.43, -0.15, -0.02, 0, -0.08, -0.08, -0.07, 
##     -0.03, 0.03, 0, -0.2, -0.3, -0.02, -0.08, -0.3, -0.59, -0.82, 
##     -0.72, -0.43, -0.57, -0.51, -0.44, -0.44, -0.51, -0.57, -0.54, 
##     -0.33, 0.23, 0.03, -0.26, -0.1, 0.05, -0.59, -0.72, -0.97, 
##     -0.8, -1.16, -1, -0.92, -0.85, -0.56, -0.41, -0.28, 0.08, 
##     0.13, -0.67, -0.67, -0.39, -0.49, -0.43, -0.16, -0.75, -0.51, 
##     -0.62, -0.56, -0.77, -0.69, -0.57, -0.51, -0.44, -0.64, -1.46, 
##     -1.46, -1.3, -0.94, 0.02, 0.44, 0.3, 0.13, 0.16, 0.15, -0.38, 
##     -0.34, -0.34, -0.34, -0.36, -0.28, -0.3, -0.36, -0.38, -0.34, 
##     -0.31, -0.31, -0.33, -0.36, -0.38, -0.38, -0.38, -0.36, -0.36, 
##     -0.41, -0.41, -0.39, -0.38, -0.38, -0.38, -0.39, -0.43, -0.41, 
##     -0.38, 0.07, 0.05, 0.13, 0.1, 0.07, 0.07, 0.07, 0.07, 0.1, 
##     0.08, 0.05, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 
##     0.11, 0.11, 0.11, -0.08, -0.15, -0.2, -0.25, 0.03, 0.1, 0.2, 
##     -0.2, -0.13, -0.1, 0.03, 0.02, -0.03, 0.02, 0.05, -0.07, 
##     -0.1, 0.07, 0.13, 0.1, 0.11, 0.15, 0.16, 0.15, 0.36, 0.34, 
##     0.38, 0.25, 0.25, 0.33, 0.34, 0.25, 0.16, 0.23, 0.28, 0.28, 
##     0.3, 0.28, 0.26, 0.18, 0.18, 0.2, 0.16, -0.05, -0.1, -0.21, 
##     -0.25, -0.18, 0.13, 0.1, -0.52, -0.31, -0.38, -0.84, -0.43, 
##     0.44, 0.1, 0.15, -0.07, -0.39, -0.82, -0.82, -0.72, -0.69, 
##     -0.38, -0.13, -0.02, 0.13, 0.23, 0.21, 0.23, 0.2, 0.28, 0, 
##     0.26, 0.23, 0.2, -0.26, 0.46, 0.84, 0.23, 0.52, -0.08, 0.15, 
##     0.44, 0.57, 0.15, -0.05, -0.31, -0.44, -0.57, -0.8, -0.92, 
##     -0.97, -1.03, -1.21, -1.2, -1.3, -1.25, -0.98, -0.64, -0.59, 
##     -0.64, 0.41, 0.43, 0.44, 0.56, 0.33, -0.18, -0.59, -0.69, 
##     -0.95, -1.05, -1.13, -1.26, -1.43, -1.08, -0.61, -0.77, -0.82, 
##     -0.79, -0.89, 0.08, 0.1, 0.16, -0.82, -0.74, -0.8, -0.8, 
##     -0.84, -0.51, -0.26, 0.05, -0.31, -0.36, -0.23, 0.05, 0.31, 
##     0.84, 0.92, 0.1, -0.07, -0.43, -0.84, -0.61, -0.43, -0.23, 
##     0.15, 0.02, -0.1, 0.23, 0.54, 0.34, 0.25, 0.15, 0.1, -0.05, 
##     -0.33, -0.41, -0.52, -0.75, -1.16, -1.08, -1, -1.03, -1.13, 
##     -1.28, -1.38, -1.05, -1.03, -0.1, 0.02, -0.39, -0.67, -0.69, 
##     -0.33, -0.16, -0.05, -0.07, -0.08, -0.21, -0.26, -0.26, -0.13, 
##     0, 0.23, 0.26, -0.11, -0.38, -0.34, -0.26, -0.13, -0.07, 
##     -0.11, -0.16, -0.18, -0.33, -0.31, -0.26, -0.08, -0.07, -0.13, 
##     -0.16, -0.11, 0.13, 0.21, 0.31, 0.36, 0.48, 0.66, 0.77, 0.79, 
##     0.92, 0.79, 0.72, 0.67, 0.43, 0.36, 0.2, 0.13, 0.2, -0.21, 
##     -0.21, -0.2, -0.13, -0.3, 0.54, 0.72, 0.64, 0.07, -0.15, 
##     -0.16, -0.16, -0.41, -0.54, -0.59, -0.59, -0.62, -0.64, -0.64, 
##     -0.44, -0.33, -0.21, -0.16, 0.11, 0.08, 0.05, 0.02, -0.31, 
##     -0.18, -0.05, -0.25, -0.31, -0.3, -0.25, -0.33, -0.2, -0.62, 
##     -0.54, -0.33, -0.11, 0, 0.25, 0.41, 0.46, 0.49, 0.49, 0.26, 
##     0.33, 0.61, 0.64, 0.46, 0.13, 0.25, 0.44, 0.52, 0.23, 0.13, 
##     -0.28, -0.38, -0.34, -0.44, -0.49, -0.69, -0.59, -0.71, -0.79, 
##     -0.89, -0.72, -0.79, -0.79, -0.72, -0.49, -0.34, -0.39, -0.97, 
##     -0.51, -0.36, 0.05, 0.21, 0.34, 0.36), accel_dumbbell_x = c(-234, 
##     -233, -232, -232, -233, -234, -232, -234, -232, -235, -233, 
##     -233, -234, -234, -234, -233, -233, -231, -233, -234, -234, 
##     -233, -234, -235, -234, -233, -233, -234, -234, -234, -233, 
##     -234, -234, -235, -234, -233, -234, -233, -234, -233, -233, 
##     -233, -232, -234, -235, -234, -233, -233, -235, -231, -232, 
##     -232, -233, -233, -235, -236, -233, -234, -234, -233, -233, 
##     -233, -233, -233, -234, -233, -234, -233, -233, -234, -234, 
##     -233, -235, -236, -233, -232, -234, -233, -235, -234, -233, 
##     -234, -235, -235, -233, -235, -234, -235, -233, -234, -234, 
##     -235, -232, -235, -234, -232, -232, -235, -234, -233, -234, 
##     -235, -234, -234, -232, -233, -234, -234, -233, -234, -234, 
##     -234, -234, -234, -234, -233, -234, -233, -235, -234, -233, 
##     -232, -233, -232, -232, -235, -234, -232, -232, -237, -237, 
##     -237, -237, -237, -237, -237, -237, -237, -237, -237, -237, 
##     -237, -237, -237, -237, -237, -237, -237, -237, -237, -237, 
##     5, 5, 6, 13, 13, 10, 9, 9, 9, 13, 14, 15, 18, 18, -19, -11, 
##     -10, -4, 4, 23, 16, 19, 16, 6, 23, 27, 26, 14, 19, 17, -1, 
##     22, 24, 17, 15, 20, 7, 9, 13, 19, 19, 15, 14, 10, 1, 4, 7, 
##     18, 23, 19, 15, 13, 16, 14, 12, 12, 10, 13, 17, 16, 13, 10, 
##     13, 11, 10, 17, 23, 9, 7, 9, 14, 21, 15, 13, 6, 8, 7, 12, 
##     13, 16, 15, 13, 15, 18, 16, 15, 15, 15, 16, 17, 17, 14, 16, 
##     17, 15, 24, 17, 13, 8, 7, 5, 16, 13, 14, 18, 15, 13, 13, 
##     14, 13, 11, 16, 16, 15, 14, 12, 13, 16, 13, 14, 13, 12, 12, 
##     13, 13, 15, 14, 11, 13, 13, 17, 15, 13, 12, 16, 17, 14, 15, 
##     16, 18, 17, 17, 15, 16, 16, 13, 18, 15, 17, 15, 20, 19, 19, 
##     19, 17, 20, 20, 16, 21, 15, 19, 17, 27, 21, 24, 20, 22, 23, 
##     10, 19, 21, 9, 12, 16, 18, 19, 18, 16, 12, 16, 24, 16, 20, 
##     20, 21, 13, 31, 15, 20, 33, 25, 23, 19, 5, 14, 12, 9, 16, 
##     26, 38, 46, 4, 9, 19, 24, 21, 16, 17, 17, 18, 16, 12, 14, 
##     15, 20, 23, 20, 15, 15, 14, 15, 20, 15, 16, 19, 17, 15, 25, 
##     5, 2, 23, 21, 29, 29, 18, 13, 25, 25, 27, 19, 19, 17, 20, 
##     30, 27, 19, 17, 17, 24, 24, 24, 18, 15, 19, 23, 25, 20, 28, 
##     24, 25, 24, 16, 26, 23, 17, 14, 15, 12, 17, 23, 24, 23, 24, 
##     25, 28, 24, 23, 20, 27, 29, 27, 19, 19, 18, 23, 14, 22, 30, 
##     32, 25, 12, 28, 23, 11, 18, 16, 22, 25, 18, 34, 24, 26, 29, 
##     25, 25, 15, 17, 19, 14, 18, 22, 24, 23, 22, 20, 21, 20, 25, 
##     25, 24, 21, 21, 24, 22, 24, 16, 21, 26, 25, 23, 24, 26, 18, 
##     17, 17, 17, 8, 12, 16, 17, 16, 18, 22, 26, 24, 22, 21, 20, 
##     23, 17, 19, 21, 17, 25, 24, 18, 21, 22, 24, 19, 25, 23, 25, 
##     31, 25, 30, 17, 17, 32, 27, 17, 19, 6, 25, 28, 25, 23, 21, 
##     18, 25, 20, 20, 21, 25, 23, 19, 29, 37, 28, 15, 24, 30, 21, 
##     18, 17, 26, 28, 24, 21, 24, 32, 27, 27, 33, 32, 25, 17, 18, 
##     27, 24, 23, 18, 24, 26, 33, 22, 19, 25, 27, 23, 23, 23, 31, 
##     31, 34, 31, 30, 24, 24, 15, 12, 20, 24, 21, 26, 19, 24, 24, 
##     26, 20, 38, 18, 21, 19, 29, 36, 24, 32, 31, 29, 30, 28, 24, 
##     23, 23, 24, 26, 29, 26, 24, 23, 18, 21, 34, 25, 32, 30, 19, 
##     39, 14, 10, 27, 32, 35, 25, 19, 17, 21, 27, 24, 26, 30, 28, 
##     27, 30, 34, 29, 29, 17, 11, 22, 27, 30, 28, 20, 34, 30, 38, 
##     37, 30, 17, 27, 31, 16, 12, 28, 17, 7, 11, 15, 18, 18, 20, 
##     25, 26, 17, 22, 19, 20, 44, 50, 6, 35, -2, 14, 28, 41, 5, 
##     16, 29, 29, 25, 28, 22, 20, 18, 15, 27, 28, 29, 30, 24, -51, 
##     -53, -50, -49, -47, -49, -50, -51, -53, -48, -49, -49, -48, 
##     -50, -50, -49, -49, -47, -47, -47, -51, -51, -49, -49, -50, 
##     -48, -48, -47, -49, -50, -50, -52, -52, -55, -50, -48, -49, 
##     -48, -47, -51, -51, -48, -54, -54, -49, -47, -48, -46, -46, 
##     -49, -51, -54, -50, -46, -44, -42, -39, -41, -44, -49, -53, 
##     -48, -48, -49, -50, -49, -49, -48, -49, -49, -50, -50, -49, 
##     -47, -47, -47, -50, -49, -47, -47, -55, -54, -51, -48, -47, 
##     -50, -52, -51, -53, -52, -50, -52, -51, -52, -49, -51, -53, 
##     -52, -50, -51, -49, -52, -58, -45, -45, -55, -52, -49, -47, 
##     -45, -48, -49, -52, -53, -53, -54, -52, -49, -51, -53, -50, 
##     -53, -52, -49, -51, -50, -51, -52, -52, -52, -50, -52, -50, 
##     -51, -50, -50, -50, -49, -51, -50, -51, -50, -52, -52, -50, 
##     -50, -52, -52, -53, -51, -51, -51, -52, -51, -52, -50, -50, 
##     -51, -52, -51, -52, -49, -53, -52, -49, -51, -54, -51, -50, 
##     -49, -50, -53, -52, -55, -56, -54, -52, -51, -54, -46, -49, 
##     -51, -51, -54, -55, -53, -49, -51, -47, -47, -50, -53, -52, 
##     -50, -54, -50, -50, -54, -53, -54, -46, -48, -47, -51, -56, 
##     -50, -53, -58, 5, 7, 8, 5, 3, -6, -1, -6, -4, -3, -7, -2, 
##     -6, -6, 0, -8, -10, -6, -10, -6, -5, -4, -3, -10, -53, -51, 
##     -50, -54, -54, -54, -53, -52, -47, -50, -54, -49, -55, -53, 
##     -49, -50, -50, -54, -47, -44, -51, -54, -56, -55, -55, -57, 
##     -59, -58, -56, -56, -52, -49, -49, -52, -53, -51, -53, -54, 
##     -55, -52, -51, -55, -54, -54, -49, -50, -51, -48, -49, -48, 
##     -49, -52, -47, -49, -50, -50, -49, -56, -52, -48, -45, -46, 
##     -51, -52, -51, -51, -52, -54, -50, -46, -46, -48, -48, -47, 
##     -49, -52, -51, -50, -52, -51, -52, -51, -54, -53, -50, -50, 
##     -53, -51, -50, -53, -53, -49, -49, -50, -45, -46, -49, -43, 
##     -38, -38, -60, -58, -59, -64, -63, -57, -55, -46, -48, -46, 
##     -50, -51, -53, -55, -54, -53, -51, -51, -51, -52, -55, -54, 
##     -51, -51, -53, -48, -49, -52, -47, -45, -51, -52, -57, -60, 
##     -53, -52, -53, -51, -50, -51, -50, -51, -50, -48, -49, -53, 
##     -50, -51, -52, -53, -55, -56, -55, -55, -55, -54, -51, -52, 
##     -46, -48, -47, -46, -45, -48, -51, -56, -54, -55, -54, -52, 
##     -51, -47, -46, -48, -50, -50, -49, -51, -47, -47, -52, -50, 
##     -50, -48, -54, -51, -48, -49, -48, -49, -49, -50, -51, -51, 
##     -49, -48, -47, -49, -54, -51, -51, -52, -53, -50, -48, -53, 
##     -53, -50, -49, -50, -53, -49, -50, -51, -50, -49, -56, -42, 
##     -52, -45, -47, -42, -54, -42, -33, -44, -36, -44, -49, -58, 
##     -50, -44, -41, -51, -45, -44, -42, -47, -49, -45, -40, -47, 
##     -45, -45, -49, -46, -48, -43, -41, -45, -46, -48, -55, -47, 
##     -47, -40, -47, -42, -54, -50, -49, -45, -49, -50, -47, -49, 
##     -42, -41, -43, -43, -40, -41, -38, -37, -37, -33, -36, -56, 
##     -42, -48, -62, -44, -44, -55, -43, -44, -49, -44, -44, -49, 
##     -51, -44, -46, -45, -45, -46, -51, -51, -45, -46, -46, -47, 
##     -45, -48, -43, -50, -43, -44, -44, -45, -47, -48, -52, -50, 
##     -49, -46, -45, -46, -45, -42, -46, -41, -45, -47, -47, -47, 
##     -45, -46, -47, -44, -46, -49, -45, -48, -48, -42, -42, -47, 
##     -46, -40, -45, -45, -42, -40, -42, -45, -44, -43, -44, -42, 
##     -42, -47, -60, -33, -63, -60, -59, -41, -47, -49, -45, -52, 
##     -55, -53, -42, -44, -43, -47, -49, -45, -47, -49, -46, -42, 
##     -43, -51, -42, -46, -49, -48, -49, -54, -59, -48, -44, -46, 
##     -48, -44, -45, -47, -43, -51, -53, -56, -52, -46, -51, -51, 
##     -44, -46, -47, -42, -43, -41, -41, -43, -47, -43, -43, -44, 
##     -41, -48, -45, -47, -59, -49, -48, -50, -48, -49, -47, -53, 
##     -44, -40, -58, -56, -40, -54, -34, -36, -53, -43, -40, -47, 
##     -40, -44, -50, -51, -44, -43, -48, -47, -49, -53, -45, -44, 
##     -43, -50, -45, -48, -51, -50, -47, -48, -53, -51, -45, -43, 
##     -48, -44, -45, -47, -45, -47, -44, -43, -50, -49, -51, -53, 
##     -45, -49, -49, -45, -44, -48, -45, -44, -45, -48, -45, -44, 
##     -45, -44, -44, -45, -46, -45, -45, -45, -48, -52, -48, -51, 
##     -48, -43, -44, -55, -49, -56, -39, -45, -65, -44, -57, -44, 
##     -41, -50, -50, -36, -34, -56, -47, -60, -56, -49, -42, -46, 
##     -53, -47, -47, -54, -46, -49, -50, -44, -48, -47, -46, -47, 
##     -51, -47, -43, -46, -51, -50, -47, -52, -61, -59, -45, -42, 
##     -48, -46, -49, -44, -43, -54, -39, -43, -53, -43, -46, -45, 
##     -46, -44, -45, -44, -46, -43, -45, -44, -40, -41, -41, -41, 
##     -42, -41, -41, -43, -41, -42, -50, -49, -48, -49, -47, -49, 
##     -46, -49, -55, -52, -44, -43, -46, -47, -51, -47, -48, -49, 
##     -53, -53, -43, -49, -46, -46, -47, -48, -45, -46, -47, -44, 
##     -45, -43, -45, -44, -42, -45, -50, -43, -43, -44, -45, -43, 
##     -42, -42, -44, -45, -43, -44, -42, -42, -45, -43, -46, -47, 
##     -45, -52, -54, -45, -43, -48, -46, -44, -49, -43, -49, -45, 
##     -54, -43, -54, -46, -39, -52, -43, -40, -44, -50, -51, -50, 
##     -49, -49, -49, -46, -44, -49, -53, -55, -53, -49, -46, -43, 
##     -39, -42, -41, -42, -43, -42, -44, -43, -41, -46, -47, -43, 
##     -44, -45, -45, -44, -44, -45, -44, -46, -47, -47, -53, -45, 
##     -44, -49, -46, -44, -47, -45, -49, -41, -39, -214, -214, 
##     -214, -214, -214, -214, -214, -214, -214, -214, -214, -214, 
##     -214, -214, -214, -214, -214, -214, -214, -214, -214, -214, 
##     -214, -214, -214, -214, -214, -214, -214, -214, -214, -214, 
##     -214, -214, -214, -214, -214, -214, -214, -214, -214, -214, 
##     -214, -214, -214, -214, -214, -214, -214, -214, -214, -214, 
##     -214, -214, -214, -214, -214, -214, -214, -214, 1, 4, 8, 
##     2, 1, 12, 15, 19, 16, 30, 27, 7, 5, 1, 3, 3, 1, 0, 9, -4, 
##     10, 8, 4, -13, -10, -10, -11, -7, -8, -3, -12, -17, -13, 
##     -11, -18, -21, -13, -6, -4, -7, -10, -11, -11, -8, -6, -1, 
##     -6, -5, -6, -5, -5, -6, -13, -12, -11, -13, -13, -6, -15, 
##     -5, -7, -12, -5, 1, 5, 6, 11, 9, 11, 11, 14, 22, 19, 22, 
##     28, 32, 43, 41, 40, 40, 40, 46, 31, 29, 21, 15, 12, 19, 12, 
##     11, 4, 6, -5, -2, -11, -1, 4, -7, -11, -12, -9, -8, -15, 
##     -7, -9, -17, -18, -8, -1, 4, -2, -4, 1, -3, -2, 0, 1, 0, 
##     -8, -11, -2, -8, -8, -8, -14, -3, -6, -8, -4, -8, -1, -4, 
##     -6, -4, -2, 0, -6, -2, 1, 6, 13, 22, 17, 17, 34, -3, -16, 
##     -13, -6, 0, 13, 3, -1, -7, -2, -3, 0, -2, -3, -1, -6, -10, 
##     -13, -16, -1, -3, -3, -8, -6, -2, -6, -5, -2, -6, 0, 0, -2, 
##     2, 5, 10, 19, 29, 32, 29, 30, 39, 47, 43, 48, 41, 30, 25, 
##     22, 19, 22, 26, 25, 20, 18, 24, 20, 15, 3, 2, 7, 3, -1, -3, 
##     0, -6, -4, -3, -3, -9, -10, -7, 1, -10, -11, -7, -5, -7, 
##     -5, 4, 9, 13, 13, 15, 21, 27, 27, 29, 21, 34, 36, 55, 51, 
##     22, 26, 21, 22, 28, 14, 18, 11, 11, 17, 4, -1, 28, 30, 30, 
##     35, 30, 17, 15, 22, 24, 18, 23, 19, 15, 17, 13, 6, 6, 6, 
##     6, 4, 1, -3, -2, -1, -1, -2, -9, -27, -28, -2, 10, 4, -8, 
##     -6, 6, 1, -8, -11, -12, -11, -11, 4, -6, -10, -10, -6, -6, 
##     -2, 0, 3, -1, 1, 2, 7, 7, 3, 10, 12, 9, 11, 16, 16, 16, 25, 
##     29, 29, 39, 34, 26, 24, 29, 24, 25, 28, 17, 17, 12, 13, 7, 
##     7, 14, 8, 1, 10, 10, 6, 3, -3, -12, -17, -20, -16, 6, 8, 
##     1, -2, -10, -10, -10, 4, 5, 8, -3, -7, -7, -7, -19, -6, -2, 
##     -5, -6, -16, -2, 0, 2, 6, 20, 17, 16, 11, 10, 17, 24, 26, 
##     34, 39, 40, 41, 38, 35, 37, 43, 43, 37, 33, -17, -15, -12, 
##     -7, -9, -4, -14, -10, -9, -8, -6, -13, -5, -5, -1, -3, -7, 
##     -10, -6, -12, -13, -9, -6, -10, -16, -17, -17, -16, -12, 
##     -10, -10, -12, -13, -10, -7, -6, -8, -11, -11, -12, -14, 
##     -15, -13, -12, -11, -10, -13, -11, -12, -12, -10, -12, -12, 
##     -11, -13, -12, -12, -12, -11, -9, -11, -11, -12, -11, -9, 
##     -12, -15, -11, -14, -16, -9, -8, -6, -10, -12, -9, -13, -13, 
##     -12, -17, -18, -12, -14, -16, -18, -24, -15, -14, -13, -7, 
##     -9, -9, -11, 3, 8, -1, 4, 19, 28, 24, 41, 59, 74, 81, 92, 
##     131, 129, 133, 143, 150, 159, 160, 162, 168, 162, 116, 107, 
##     92, 93, 44, 47, 12, 13, 8, 1, -12, -11, -11, -32, -35, -24, 
##     -12, -4, -12, -9, -10, -5, -3, -1, -6, -10, -17, -19, -18, 
##     -14, -6, -4, 0, -2, -15, 1, 11, 0, -15, 7, 11, -146, -145, 
##     -144, -144, -145, -146, -143, -146, -144, -144, -144, -143, 
##     -147, -146, -144, -146, -144, -145, -147, -148, -144, -143, 
##     -144, -145, -147, -147, -146, -143, -143, -146, -148, -144, 
##     -141, -144, -144, -144, -143, -145, -148, -146, -142, -143, 
##     -149, -147, -143, -143, -145, -147, -145, -145, -146, -145, 
##     -143, -143, -145, -146, -147, -146, -141, -142, -143, -145, 
##     -145, -145, -147, -145, -145, -146, -146, -144, -144, -146, 
##     -145, -144, -143, -145, -144, -147, -146, -145, -145, -148, 
##     -146, -145, -144, -144, -144, -143, -144, -145, -145, -145, 
##     -143, -144, -144, -143, -144, -145, -143, -143, -144, -144, 
##     -146, -147, -145, -144, -145, -145, -146, -145, -145, -145, 
##     -145, -143, -144, -145, -146, -147, -146, -145, -146, -148, 
##     -145, -145, -145, -144, -145, -146, -145, -146, -145, -144, 
##     -145, -147, -145, -144, -145, -145, -146, -145, -144, -145, 
##     -143, -146, -146, -147, -143, -146, -147, -145, -145, -144, 
##     -145, -145, -144, -144, -144, -146, -146, -146, -143, -144, 
##     -143, -142, -144, -147, -144, -144, -144, -142, -144, -149, 
##     -145, -145, -146, -144, -144, -144, -143, -147, -146, -145, 
##     -145, -147, -146, -148, -141, -142, -146, -146, -146, -145, 
##     -144, -144, -145, -145, -147, -147, -146, -142, -143, -143, 
##     -149, -147, -145, -149, -149, -145, -140, -140, -141, -145, 
##     -144, -145, -144, -143, -144, -145, -145, -144, -144, -142, 
##     -145, -145, -149, -145, -141, -135, -144, -149, -154, -140, 
##     -130, -124, -133, -139, -153, -132, -140, -145, -144, -134, 
##     -139, -139, -142, -142, -134, -134, -140, -137, -147, -144, 
##     -135, -139, -137, -140, -144, -152, -142, -140, -142, -141, 
##     -141, -140, -142, -144, -141, -139, -140, -140, -141, -139, 
##     -138, -137, -140, -141, -140, -138, -139, -143, -140, -140, 
##     -142, -142, -141, -141, -141, -142, -144, -140, -141, -142, 
##     -140, -141, -141, -142, -141, -139, -146, -150, -136, -133, 
##     -139, -148, -144, -144, -141, -142, -143, -141, -143, -141, 
##     -141, -141, -141, -140, -140, -140, -141, -140, -140, -140, 
##     -139, -140, -141, -140, -141, -140, -140, -141, -141, -141, 
##     -142, -141, -141, -140, -141, -141, -143, -140, -140, -142, 
##     -141, -141, -143, -142, -141, -139, -143, -140, -140, -139, 
##     -144, -133, 18, 21, 17, 10, 14, 17, 22, 18, 7, 14, 11, 12, 
##     8, 2, 6, 10, 7, 5, 4, 4, -1, 7, -1, 10, 4, 9, 6, 5, -2, 17, 
##     -1, 3, 2, 4, 3, 3, 0, 3, 4, 4, 6, 5, 4, 3, 3, 0, 3, 4, -2, 
##     3, 7, -1, -1, -2, 0, 1, -1, -1, 2, 3, 3, 3, -1, -1, -2, 2, 
##     2, -2, -3, 1, 1, 1, 1, 2, 2, 4, 6, 4, 7, 15, 9, 9, 10, 13, 
##     11, 8, 6, 4, 8, 6, 6, 5, 6, 5, 10, 5, 4, 3, 3, 0, 6, 3, 0, 
##     5, 6, 5, 4, 7, 5, 1, 4, 8, 3, 1, 2, 11, 0, 1, 4, 4, 4, 3, 
##     3, 1, -3, 4, 3, 2, 3, 5, 3, 3, 0, 0, 2, 1, 2, 2, 2, 4, 0, 
##     5, 1, -2, -2, 3, 2, 6, 6, 11, 8, 12, 11, 14, 12, 4, 4, 4, 
##     4, 0, 4, 5, -1, -3, -2, 1, 4, 8, 3, 6, 9, 0, -11, 6, -3, 
##     -4, 6, 6, 3, 5, 1, 1, 1, -1, -1, 3, 2, 2, 3, 5, 1, 4, 3, 
##     1, 0, 0, 5, 3, -1, 1, 3, -1, -1, 1, -3, -1, 3, 1, 3, 5, 6, 
##     7, 8, 11, 8, 12, 8, 3, 4, 4, 3, 3, 2, 3, 1, 2, 0, 2, 0, -1, 
##     6, -3, 7, 1, 2, -4, -1, 8, 0, -2, -3, 5, 1, -3, -6, -1, 2, 
##     7, 0, -1, -6, -5, 0, 5, 4, -1, 1, 3, 7, 3, -6, -2, 3, 2, 
##     0, 5, -6, -3, -7, -10, -7, 0, -3, 0, 8, 9, 5, 10, 3, 7, -2, 
##     -5, -8, 4, -6, -5, 3, 3, -5, 6, 1, 8, 6, 0, -1, -8, 6, -15, 
##     -6, 7, 11, 15, 10, 5, -1, 1, -8, 0, 3, 1, -1, -6, -4, 1, 
##     -3, -2, -2, 1, 0, 5, -3, -1, 0, -4, -4, -7, -1, -2, 0, 4, 
##     3, 10, 6, 7, 6, 0, 0, -3, 3, -1, 1, 1, -4, -3, 5, 13, -4, 
##     0, -3, 10, 3, 4, 2, -5, -7, 3, -1, -5, 0, 2, 12, -8, 1, 7, 
##     8, -3, -1, 1, 0, 2, 1, 4, 5, 3, 1, 0, 1, 0, -5, -6, -4, -3, 
##     -2, -2, 2, 5, 5, 4, 12, 13, 15, 5, 6, 3, 2, 4, -1, -2, -4, 
##     -5, 3, -1, 5, 3, 1, 4, 0, 4, -6, -4, 1, 4, -2, 2, -2, 2, 
##     6, 1, -1, 3, 5, 3, -1, 0, -1, -1, -5, 3, 2, -4, -1, -1, -1, 
##     6, -8, -3, 1, 2, 1, -2, -4, -6, -8, -4, 2, 3, 3, -2, 1, -6, 
##     -2, -3, -1, 0, 4, 5, 4, -1, -6, 1, -6, -3, -3, -3, -6, 0, 
##     -2, -1, -1, -1, 5, 7, 13, 18, 10, 12, 8, 9, 7, 4, 3, 4, 2, 
##     -1, 0, -5, -2, 1, -2, 2, 5, 3, 1, 0, 4, -4, 5, 12, 3, 9, 
##     11, 3, 6, -4, -6, 10, 14, 11, 3, 0, 0, 0, -4, -2, 3, 3, -8, 
##     -7, 2, 7, 2, 1, 3, 2, 4, 4, 3, 1, 4, -2, -5, -2, -7, -4, 
##     -7, -1, -2, 4, 5, 4, 6, 4, 10, 12, 9, 10, 8, 8, 2, 6, 3, 
##     3, 2, -3, -6, 6, -9, 5, 4, 2, 13, 12, 5, 20, 10, -11, 8, 
##     5, 2, -1, 1, -3, 0, 0, 1, 1, 1, -1, -1, -2, 0, 2, 0, 3, 0, 
##     0, 0, 0, -1, 0, 2, -1, 0, -1, 2, -1, 1, -1, 1, 0, 0, 1, 1, 
##     2, 2, 1, 3, 3, 1, 1, 0, 1, 1, 0, -1, -2, 1, -1, -3, 0, 1, 
##     1, 1, 0, -1, -1, 0, -1, -1, 1, 1, 0, 1, 0, 0, -1, -1, -1, 
##     -140, -141, -140, -143, -141, -141, -140, -144, -142, -139, 
##     -142, -141, -139, -139, -140, -140, -142, -141, -141, -142, 
##     -142, -141, -141, -140, -142, -141, -140, -141, -142, -142, 
##     -142, -142, -141, -141, -141, -143, -145, -142, -142, -141, 
##     -141, -141, -142, -142, -141, -141, -140, -140, -142, -140, 
##     -141, -140, -141, -141, -141, -141, -141, -142, -143, -141, 
##     -142, -141, -141, -142, -142, -141, -142, -141, -141, -140, 
##     -141, -142, -142, -143, -141, -140, -142, -141, -140, -141, 
##     -143, -144, -140, -141, -140, -141, -141, -141, -141, -141, 
##     -141, -139, -141, -140, -140, -139, -141, -142, -144, -145, 
##     -140, -137, -144, -142, -141, -140, -142, -143, -142, -140, 
##     -140, -140, -141, -141, -141, -142, -139, -139, -140, -141, 
##     -140, -141, -140, -141, -140, -142, -142, -141, -141, -141, 
##     -141, -141, -142, -142, -141, -140, -141, -142, -141, -141, 
##     -141, -142, -141, -141, -141, -142, -139, -141, -141, -141, 
##     -142, -141, -141, -142, -139, -141, -145, -141, -137, -140, 
##     -141, -141, -139, -144, -145, -144, -142, -142, -140, -139, 
##     -140, -141, -144, -146, -141, -145, -149, -137, -128, -140, 
##     -146, -137, -136, -138, -139, -139, -142, -146, -145, -141, 
##     -139, -139, -141, -140, -148, -145, -142, -152, -149, -143, 
##     -128, -137, -145, -151, -147, -142, -140, -139, -142, -140, 
##     -141, -145, -143, -141, -140, -142, -144, -143, -142, -149, 
##     -147, -138, -140, -142, -140, -139, -142, -145, -143, -141, 
##     -140, -142, -143, -142, -142, -143, -142, -141, -141, -142, 
##     -142, -139, -137, -136, -140, -154, -142, -133, -123, -149, 
##     -149, -139, -139, -141, -140, -140, -141, -142, -140, -138, 
##     -140, -142, -142, -142, -141, -141, -143, -144, -141, -141, 
##     -140, -140, -142, -143, -143, -141, -139, -139, -141, -139, 
##     -142, -142, -145, -143, -142, -142, -143, -144, -140, -141, 
##     -142, -142, -143, -144, -141, -141, -142, -142, -143, -142, 
##     -140, -139, -144, -142, -143, -142, -144, -144, -142, -142, 
##     -142, -143, -142, -142, -142, -142, -142, -139, -141, -153, 
##     -159, -145, -132, -144, -143, -143, -149, -145, -137, -125, 
##     -121, -130, -137, -138, -140, -146, -143, -124, -134, -135, 
##     -135, -135, -126, -122, -129, -126, -114, -129, -133, -127, 
##     -125, -125, -121, -124, -130, -129, -142, -99, -105, -115, 
##     -156, -155, -154, -167, -128, -138, -128, -139, -139, -149, 
##     -147, -146, -156, -111, -112, -140, -144, -137, -136, -135, 
##     -149, -144, -142, -138, -136, -141, -142, -141, -135, -143, 
##     -140, -133, -131, -136, -129, -133, -128, -129, -130, -120, 
##     -120, -122, -125, -122, -121, -128, -136, -133, -129, -128, 
##     -150, -88, -169, -136, -103, -141, -144, -116, -116, -139, 
##     -174, -121, -109, -110, -129, -153, -138, -143, -143, -146, 
##     -138, -140, -137, -137, -134, -131, -137, -129, -128, -122, 
##     -129, -132, -133, -126, -107, -112, -123, -122, -125, -132, 
##     -125, -136, -135, -148, -130, -97, -149, -115, -114, -104, 
##     -132, -156, -163, -134, -117, -140, -144, -151, -143, -127, 
##     -127, -128, -139, -154, -146, -157, -159, -156, -145, -132, 
##     -141, -133, -133, -137, -127, -130, -131, -125, -127, -133, 
##     -138, -132, -128, -117, -112, -118, -111, -116, -117, -114, 
##     -119, -123, -123, -127, -127, -126, -135, -98, -144, -157, 
##     -135, -159, -125, -111, -132, -149, -153, -147, -139, -137, 
##     -126, -126, -137, -143, -143, -151, -134, -139, -134, -139, 
##     -141, -134, -138, -137, -132, -139, -149, -142, -123, -125, 
##     -123, -125, -124, -121, -130, -132, -135, -133, -123, -131, 
##     -143, -128, -165, -142, -151, -142, -138, -154, -143, -136, 
##     -138, -155, -154, -137, -134, -129, -123, -135, -144, -161, 
##     -157, -142, -140, -132, -138, -137, -132, -135, -138, -144, 
##     -134, -130, -136, -138, -137, -140, -148, -145, -143, -133, 
##     -114, -106, -113, -133, -132, -133, -143, -124, -148, -112, 
##     -160, -113, -114, -148, -133, -105, -132, -170, -152, -118, 
##     -110, -146, -132, -132, -154, -163, -167, -171, -169, -139, 
##     -114, -114, -128, -139, -139, -139, -142, -146, -148, -134, 
##     -125, -133, -142, -131, -134, -134, -134, -140, -143, -125, 
##     -122, -137, -132, -130, -133, -145, -139, -125, -153, -136, 
##     -160, -150, -125, -147, -131, -154, -152, -133, -143, -158, 
##     -166, -155, -145, -138, -141, -144, -138, -139, -145, -143, 
##     -145, -142, -150, -149, -145, -140, -153, -144, -137, -136, 
##     -143, -141, -141, -136, -138, -145, -148, -144, -149, -124, 
##     -113, -114, -117, -124, -129, -133, -133, -139, -139, -145, 
##     -140, -139, -141, -144, -129, -164, -121, -143, -159, -148, 
##     -135, -145, -139, -139, -133, -146, -161, -169, -173, -121, 
##     -120, -154, -155, -151, -140, -136, -144, -140, -137, -139, 
##     -139, -141, -137, -133, -132, -136, -141, -136, -143, -139, 
##     -134, -125, -107, -112, -122, -129, -133, -132, -121, -160, 
##     -187, -138, -163, -157, -134, -132, -167, -140, -113, -128, 
##     -141, -144, -158, -149, -140, -123, -142, -143, -139, -140, 
##     -138, -206, -207, -205, -205, -203, -203, -203, -205, -209, 
##     -207, -209, -207, -207, -207, -204, -208, -206, -207, -205, 
##     -206, -203, -203, -206, -205, -206, -205, -204, -206, -207, 
##     -207, -207, -208, -205, -211, -214, -214, -214, -214, -214, 
##     -214, -214, -214, -214, -214, -214, -214, -214, -214, -214, 
##     -214, -214, -214, -214, -214, -41, -43, -44, -56, -47, -45, 
##     -43, -45, -43, -41, -44, -42, -45, -40, -42, -48, -45, -44, 
##     -45, -43, -45, -48, -49, -49, -49, -53, -59, -51, -46, -45, 
##     -42, -47, -46, -45, -43, -47, -56, -45, -44, -50, -51, -44, 
##     -45, -39, -55, -44, -53, -39, -41, -45, -53, -47, -46, -49, 
##     -52, -38, -50, -54, -40, -41, -41, -42, -40, -41, -46, -45, 
##     -47, -51, -51, -51, -52, -47, -53, -49, -51, -42, -52, -56, 
##     -37, -40, -37, -38, -46, -40, -43, -47, -45, -50, -47, -48, 
##     -52, -48, -48, -44, -49, -48, -46, -42, -44, -33, -42, -43, 
##     -45, -45, -35, -38, -42, -33, -34, -31, -33, -34, -44, -49, 
##     -50, -45, -54, -50, -53, -48, -48, -49, -49, -52, -51, -50, 
##     -57, -57, -51, -47, -57, -60, -56, -51, -45, -51, -52, -50, 
##     -50, -48, -48, -52, -50, -48, -43, -42, -49, -46, -43, -42, 
##     -47, -49, -56, -47, -48, -46, -53, -47, -6, -5, -6, -6, -7, 
##     -7, -7, -8, -10, -8, -7, -4, -5, -5, -11, -6, -6, -7, -5, 
##     -5, -5, -4, -5, -5, -6, -7, -4, -6, -11, -5, -6, -5, -2, 
##     -9, -11, -11, -2, -5, -5, -6, -9, -7, -7, -7, -7, -8, -6, 
##     -7, -5, -6, -6, -6, -6, -6, -6, -6, -7, -7, -7, -8, -11, 
##     -11, -8, -7, -7, -7, 0, -11, -11, -10, -13, -17, -7, -6, 
##     -11, -15, -18, -8, -6, -7, -9, -9, -7, -4, -8, -10, -3, -6, 
##     5, 18, 12, 0, 12, -4, -16, -26, -33, -35, -31, -13, -1, -1, 
##     -6, -8, -12, -11, -13, -9, -7, -6, -6, -7, -7, -11, -9, -7, 
##     -10, -11, -9, -6, -11, -11, -10, -8, -6, -9, -8, -7, -7, 
##     -8, -8, -9, -8, -9, -8, -8, -8, -6, -6, -8, -7, -8, -9, -10, 
##     -8, -7, -5, -6, -6, -5, -1, -13, -12, -12, 4, 2, -3, -10, 
##     -15, -12, -11, -11, -10, -11, -13, -13, -17, -15, -16, -11, 
##     -9, -8, -6, -6, 0, 5, -3, 3, -18, -19, -9, 0, -27, -26, -25, 
##     -22, -12, -22, 20, 10, 7, 4, 1, -7, -14, -22, -19, -12, -13, 
##     -4, -5, -8, -9, -10, -9, -3, -3, -4, 4, -11, -21, -14, -11, 
##     -4, -3, -4, -8, -7, -7, -6, -5, -7, -9, -7, -4, -7, -9, -9, 
##     -8, -7, -11, -8, -9, -9, -10, -12, -9, -5, -6, -8, -5, -11, 
##     -19, -16, -17, -8, -6, -13, -16, -13, -16, -10, -7, -7, -6, 
##     -6, -6, 4, 1, 3, 7, 7, 5, 6, 2, 4, -1, -1, -10, -8, -9, -9, 
##     -11, -8, -10, -8, -12, -14, -5, -10, -8, -8, -12, -15, -11, 
##     -1, -4, -21, -22, -10, -12, -4, -11, 2, -15, -16, -6, 0, 
##     -21, -19, -11, -8, -6, -6, -3, 1, -6, -13, -18, -7, -6, -6, 
##     -4, -5, -11, -9, 0, -10, -9, -3, -5, -6, -7, -8, -13, -9, 
##     -9, -6, -3, -11, -9, -11, -31, -22, 13, 1, -14, -6, -3, -13, 
##     -7, -7, -1, -5, 9, -4, -2, -7, 0, 2, -8, -11, -7, -5, -6, 
##     -4, -10, -12, -2, -3, -11, -13, 2, -6, -22, -17, -9, -8, 
##     -8, -12, -9, -6, -18, -18, -5, -8, -3, -8, -9, -10, -12, 
##     -11, -8, -11, -15, -11, -7, -6, -7, -5, -5, -7, -6, -14, 
##     -16, -16, -2, -4, -2, 0, -5, -9, -9, -5, -7, -3, 1, 0, -2, 
##     -7, -5, 9, -3, -7, -13, -6, -11, -10, -3, 1, -7, -11, -14, 
##     -12, -6, -4, -2, -7, -5, -7, -7, -6, -4, -1, -5, -6, -3, 
##     -3, -5, -8, -4, -2, -10, -5, -6, -3, -32, -2, 5, 10, 10, 
##     -6, -8, 0, 1, -1, 1, -3, -6, -6, -9, 3, -9, -14, 1, -1, -6, 
##     -10, -7, -1, -6, -8, -5, -4, -5, -6, -3, -4, 0, 0, -3, -10, 
##     -7, -8, -9, -5, -4, -6, -4, -3, -6, -13, -6, -7, -1, -7, 
##     -8, -7, -1, -4, -1, -1, -1, -1, 1, 3, 6, 0, 0, -2, 6, 4, 
##     6, 2, 1, 0, 0, -2, -3, -4, -1, -3, -4, -5, -4, -4, -4, -9, 
##     -4, -5, -1, 2, -5, -7, -2, -1, -10, -1, -5, -6, -10, -6, 
##     -2, -11, -9, -5, -13, -2, -2, -6, -7, -1, -5, -8, -5, -7, 
##     -5, -3, -5, -2, -5, -1, -3, 0, 1, 0, 1, 5, 4, 6, 10, 4, 6, 
##     4, -1, -3, -3, -1, -1, -2, -1, -2, -3, -7, -6, -5, -15, -1, 
##     -5, -7, -3, -16, -19, -5, -6, -7, -10, -8, -6, -6, -7, -7, 
##     3, -5, -13, -5, -3, -3, -6, -3, -4, -3, -5, -3, 1, -8, -11, 
##     -7, -6, -9, -5, -4, -2, -4, 0, 2, -4, -2, -1, -3, -7, -5, 
##     -6, 3, 8, 0, -5, -3, 5, 11, 6, 11, 6, 8, 4, 2, 1, 0, -8, 
##     -4, -1, 1, 5, -3, -3, -9, 0, 0, -10, -6, -9, -3, -10, -18, 
##     -15, -6, -9, -6, -8, -16, -20, -7, -4, -4, -5, -7, -4, -4, 
##     -9, -13, -12, -13, -7, -8, -11, -14, -9, -8, -11, -13, -14, 
##     -10, -14, -13, -1, -2, 1, 1, 5, 8, 10, 6, 6, 7, 3, 3, 2, 
##     0, -4, -2, 0, -5, -7, -4, 6, 0, -1, -4, 0, -2, -2, -6, -4, 
##     -8, -11, -6, -4, -2, -1, 1, 7, -5, -6, -1, 10, 2, -3, -6, 
##     -5, 1, -4, -6, 1, 0, 0, -49, -49, -53, -41, -39, -56, -43, 
##     -41, -44, -50, -43, -46, -50, -47, -49, -45, -46, -47, -44, 
##     -45, -45, -45, -46, -50, -48, -46, -44, -51, -52, -51, -42, 
##     -46, -41, -40, -43, -44, -42, -39, -45, -42, -52, -48, -48, 
##     -45, -43, -44, -45, -46, -44, -43, -46, -45, -40, -43, -41, 
##     -38, -36, -38, -40, -44, -41, -56, -45, -49, -47, -48, -44, 
##     -43, -49, -58, -51, -45, -52, -46, -43, -51, -54, -43, -49, 
##     -38, -42, -56, -58, -47, -43, -34, -46, -60, -58, -39, -43, 
##     -52, -57, -45, -49, -40, -46, -56, -47, -48, -45, -41, -47, 
##     -55, -13, -11, -11, -9, -7, -6, -9, -5, -9, -13, -14, -6, 
##     -7, -5, -5, -5, -6, -3, -5, -3, -3, 5, 4, 3, 4, -2, 0, 1, 
##     -2, -1, -5, -5, -1, 2, -2, 1, -8, -4, 4, -1, -8, -5, 0, -3, 
##     -9, -6, 4, -10, -5, -4, -2, -4, -10, -8, -1, -1, 5, 7, 8, 
##     7, 1, 0, -2, -5, -5, -11, -3, -14, -1, -4, -7, -4, -6, -6, 
##     -1, -2, -2, -5, -5, -12, -13, -1, 0, -7, -2, -15, -17, -7, 
##     -9, -7, -9, -5, -10, -11, -14, -11, -15, -20, -21, -2, -5, 
##     -13, -10, -12, -10, -6, -3, -5, -7, -7, -4, -3, -6, -8, -7, 
##     -5, -6, -7, -8, -7, -8, -6, -6, -13, -5, -4, -3, -7, -6, 
##     -6, -142, -141, -147, -148, -145, -136, -140, -147, -143, 
##     -140, -136, -140, -145, -147, -148, -145, -145, -148, -148, 
##     -147, -142, -134, -126, -128, -141, -138, -135, -140, -142, 
##     -141, -142, -140, -139, -141, -140, -139, -139, -141, -142, 
##     -141, -142, -142, -140, -139, -140, -139, -141, -141, -142, 
##     -143, -142, -141, 28, 26, 29, 25, 20, 20, 19, 2, 11, -1, 
##     -3, -1, 1, -8, -5, -16, -23, -14, -8, -9, -10, -9, -10, -11, 
##     -5, 0, -10, 0, 1, 3, 6, 13, 17, 14, 12, 18, 12, 26, 30, -1, 
##     2, -4, -6, -1, -11, -3, 2, 3, -19, -30, -34, 6, 8, -1, -5, 
##     -6, -2, 2, 2, 5, 2, 11, -2, 2, -1, -5, -4, -7, 3, -5, -2, 
##     -2, -4, -5, -5, -14, -13, -13, -13, -14, -15, 1, 9, 9, 6, 
##     2, -3, -6, 37, 35, 13, 13, 14, 21, 21, 19, 13, 14, 17, 14, 
##     3, 2, 2, 3, 2, -1, -6, -8, 3, -2, -7, -5, -5, -13, -13, -13, 
##     -13, -13, -13, -13, -9, -11, -11, -11, -11, -6, -4, -4, -4, 
##     -5, -5, -3, -3, -3, -3, -3, 4, 4, -1, -204, -205, -205, -204, 
##     -204, -205, -206, -419, -206, -206, -204, -205, -203, -202, 
##     -205, -205, -203, -203, -205, -205, -205, -204, -203, -205, 
##     -203, -205, -205, -205, -204, -204, -204, -205, -204, -205, 
##     -206, -204, -205, -206, -207, -206, -204, -205, -204, -205, 
##     -203, -205, -206, -205, -206, -206, -207, -204, -205, -205, 
##     -206, -204, -207, -205, -204, -205, -204, -205, -205, -205, 
##     -203, -206, -204, -203, -206, -206, -205, -205, 33, 21, 22, 
##     29, 33, 32, 28, 23, 29, 27, 27, 26, 25, 26, 25, 26, 21, 24, 
##     24, 31, 24, 26, 29, 28, 31, 26, 27, 20, 23, 36, 42, 41, 22, 
##     20, 17, 26, 32, 32, 26, 26, 33, 29, 31, 41, 41, 22, 13, 24, 
##     35, 32, 25, 23, 30, 26, 27, 30, 26, 24, 27, 30, 25, 24, 22, 
##     27, 32, 19, 39, 25, 24, 20, 22, 26, 34, 19, 18, 20, 29, 20, 
##     24, 33, 33, 16, 16, 24, 32, 23, 21, 17, 24, 23, 26, 23, 21, 
##     18, 14, 29, 23, 18, 17, 36, 27, 21, 24, 21, 19, 25, 16, 23, 
##     17, 20, -20, -24, -3, -8, 1, 7, 3, 5, 1, 7, 10, -6, -2, -1, 
##     8, 11, -4, -9, 1, -1, -5, 4, -3, 3, 8, 10, 5, 4, 4, 4, 1, 
##     -5, -4, 22, 25, 30, 26, 31, 28, 27, 26, 23, 18, 25, 29, 31, 
##     30, 26, 24, 27, 33, 30, 23, 12, 12, 11, 21, 21, 22, 23, 18, 
##     22, 19, 19, 15, 28, 15, 27, 18, 33, 44, 38, 31, 18, 20, 25, 
##     23, 28, 22, 22, 27, 25, 29, 35, 32, 24, 18, 25, 23, 18, 18, 
##     17, 24, 21, 20, 24, 20, 21, 26, 22, 23, 20, 21, 20, 22, 23, 
##     23, 21, 22, 21, 18, 22, 17, 22, 19, 21, -8, -7, -9, -11, 
##     -50, -33, -36, -43, -42, -40, -39, -33, -28, -30, -17, -19, 
##     -22, -21, -30, -10, 8, -14, -14, -7, 10, 18, 13, -3, 14, 
##     22, 32, 18, 6, 20, 34, 43, 45, 40, 26, 2, 5, 23, 22, 26, 
##     17, 18, 19, 21, 10, 6, 7, 6, 11, 12, 9, 13, -2, -14, -12, 
##     -21, -32, -34, -38, -42, -37, -30, -22, -21, -22, -21, -20, 
##     -21, -12, -17, -3, 2, -6, 15, 2, 16, 23, 19, 5, 1, 11, 8, 
##     40, 44, -1, 18, 13, 18, 24, 15, 12, 14, 12, 15, 13, 6, -4, 
##     7, -19, -12, -15, -25, -28, -31, -46, -49, -44, -49, -46, 
##     -43, -51, -53, -52, -29, -31, -36, -61, -57, -52, -45, -45, 
##     -50, -47, -38, -38, -29, -25, -8, -8, 16, 22, 3, 15, 17, 
##     20, 17, 11, 17, 10, 18, 14, 19, 11, 13, 22, 36, 28, 4, 2, 
##     5, 2, 5, 5, 10, -10, -11, -16, -59, -61, -62, -63, -59, -63, 
##     -65, -82, 14, -9, 9, 30, 22, 20, 18, 12, 26, 21, 16, 24, 
##     11, 1, 0, -12, -9, -9, -18, -21, -29, -26, -36, -38, -53, 
##     -60, -85, -81, -66, -50, -41, -39, -44, -43, -52, -43, -14, 
##     -5, 2, 25, 22, 3, 0, -2, 2, 10, 14, 34, 84, 70, -7, -4, 2, 
##     19, 21, 8, 16, 23, 23, 18, 28, 19, 33, 23, 12, 12, 18, 13, 
##     8, 9, 6, -13, -9, -23, -50, -47, -67, -82, -74, -62, -65, 
##     -67, -63, -55, -58, -57, -55, -61, -48, -35, -25, -38, 5, 
##     10, 51, 22, 27, 23, 30, 5, 26, 31, 28, -66, -59, -56, -66, 
##     -53, -47, -41, -33, -30, -14, -14, -7, -15, 20, 9, 9, -10, 
##     43, 61, 67, 28, 8, -5, -3, -1, 15, 10, 17, 18, 12, 19, 25, 
##     29, 27, 18, 22, 23, 12, 5, 0, -7, 1, -11, -14, -29, -39, 
##     -49, -67, -62, -86, -86, -78, -79, -82, -73, -53, -67, -67, 
##     -66, -84, -57, -62, -44, -31, -29, 4, -4, 2, 4, 9, 18, 16, 
##     4, 2, 30, 26, 26, -3, 5, 19, 15, 3, 6, 12, 17, 13, -3, 27, 
##     34, 83, 88, 98, 110, 135, 150, 161, 170, 174, 177, 181, 188, 
##     180, 200, 27, 43, 56, 66, 76, 86, 90, 132, 147, 175, 179, 
##     183, 188, 192, 189, 186, 188, 191, 189, 189, 189, 184, 186, 
##     194, 200, 166, 166, 162, 154, 154, 150, 141, 133, 128, 114, 
##     99, 98, 81, 74, 51, 49, 38, 27, 27, 33, 26, 4, -5, -20, -14, 
##     -8, 0, -1, -3, -7, -10, -7, -6, -9, -9, -3, -3, -7, -15, 
##     -21, -10, -4, 2, 6, 7, -5, -5, 0, 6, 3, 37, 42, 64, 74, 108, 
##     117, 132, 153, 156, 177, 183, 192, 198, 198, 196, 202, 198, 
##     200, 198, 206, 205, 200, 195, 188, 179, 157, 159, 151, 152, 
##     145, 132, 125, -17, -15, -10, -8, -8, -4, 4, 4, 12, 17, 15, 
##     18, 26, 29, 33, 48, 55, 71, 100, 123, 143, 173, 182, 180, 
##     181, 187, 192, 191, 192, 199, 195, 203, 212, 206, 204, 196, 
##     210, 200, 179, 162, 161, 144, 149, 128, 121, 116, 104, 83, 
##     84, 80, 72, 46, 49, 39, 39, 39, 39, 35, 22, 16, 10, -20, 
##     -20, -20, -20, -30, -34, 2, -2, 2, -10, -9, -9, -5, -7, -6, 
##     -7, -14, -17, -23, -20, -14, -4, 5, 1, -4, 213, 215, 224, 
##     207, 199, 179, 180, 163, 147, 136, 135, 113, 110, 107, 90, 
##     84, 81, 77, 39, 28, 21, 22, 19, -38, -49, -49, -18, -2, 3, 
##     1, -6, -4, -1, -7, -18, -22, -19, -19, -23, -20, -14, -5, 
##     -8, 13, 7, 21, 30, 33, 37, 43, 49, 82, 109, 121, 169, 177, 
##     182, 195, 191, 187, 190, 199, 212, 217, 206, 208, 199, 184, 
##     147, 156, 119, 117, 110, 95, 78, 41, 28, 21, 14, 16, 9, -16, 
##     -56, -19, -11, 9, -6, -6, -8, -2, -1, -3, -2, -4, -9, -3, 
##     -6, -11, -8, 1, 10, 18, 31, 39, 41, 45, 71, 79, 112, 127, 
##     138, 168, 199, 199, 204, 214, 210, 202, 201, 195, 179, 156, 
##     153, 151, 152, 135, 97, 91, 57, 49, 45, 36, 23, 19, 14, 14, 
##     2, 1, 4, -2, -21, -37, 13, -13, -7, -9, -7, 5, 6, 2, 5, -1, 
##     -14, -34, -36, -13, -1, 1, 1, 3, 4, 23, 49, 93, 97, 63, 55, 
##     43, 37, 22, 20, 23, 25, 26, 27, 27, 27, 28, 28, 28, 28, 26, 
##     26, 16, -5, -43, -15, -8, -1, 0, 1, -2, -8, -6, -9, -9, -22, 
##     -12, -2, -8, 8, 3, 5, 10, 29, 39, 40, 108, 129, 132, 148, 
##     160, 178, 198, 204, 208, 210, 209, 211, 210, 202, 204, 197, 
##     184, 177, 169, 168, 136, 113, 121, 85, 67, 63, 60, 41, 37, 
##     33, 17, 18, 19, -3, 0, 0, 2, 2, 3, -1, 2, 0, -6, -3, -1, 
##     -7, -4, 9, -6, -7, 1, 1, 7, 7, 13, 9, 9, 10, 22, 25, 25, 
##     26, 26, 33, 33, 56, 59, 68, 70, 80, 89, 95, 97, 107, 87, 
##     66, 52, 43, 39, 24, 12, 24, 17, 5, 10, 3, 6, 4, 4, 1, 4, 
##     2, -9, -17, -1, -9, -7, -6, -6, -7, -6, -5, -1, 0, -3, 6, 
##     4, -4, -12, 0, -4, -6, -1, 4, 8, 16, 24, 51, 58, 69, 85, 
##     99, 117, 121, 128, 107, 90, 56, 51, 36, 23, 34, 30, 18, 11, 
##     9, 3, 9, 20, 4, 13, 5, -2, 2, 0, -2, -8, 108, 122, 132, 141, 
##     166, 179, 176, 170, 168, 142, 126, 101, 77, 46, 28, 29, 40, 
##     8, 11, 16, 5, 13, 3, 2, 1, 0, 6, -2, 2, -4, -4, -9, -10, 
##     -4, -6, -7, -3, -3, -1, 0, 0, 0, 1, 4, 3, -1, 2, 1, 5, -4, 
##     -3, -16, 14, 1, 6, 7, 10, 8, 3, -6, -4, -3, 3, 3, -4, -2, 
##     -6, -11, -9, -3, -3, -10, -8, -6, -5, -7, -8, -5, -2, -4, 
##     -7, -3, 0, 0, -3, -6, -4, -6, -11, -11, 0, 6, 31, 47, 58, 
##     70, 79, 92, 104, 113, 132, 147, 150, 145, 145, 116, 92, 69, 
##     46, 41, 32, 28, 19, 14, 18, 18, 7, 8, 1, 23, 26, 26, 22, 
##     16, 23, 6, 9, 7, 0, -3, -3, -9, -10, -9, 0, 0, -4, -1, 0, 
##     -5, -1, -1, -5, -9, -14, 89, 69, 70, 69, 58, 52, 31, 26, 
##     10, 18, 22, 20, -4, -6, 2, 8, 7, 3, -8, 4, 0, -12, -13, -4, 
##     -7, -2, -5, -6, -6, 2, 4, -5, -3, -1, 0, -4, -9, -10, 3, 
##     4, -2, -6, -13, -9, -12, -13, -25, -11, -15, 4, 5, -18, -8, 
##     -3, -4, -3, 4, 5, 2, 3, 7, 10, 10, 14, 17, 1, -9, -13, -13, 
##     -28, -21, -17, -13, -10, 10, 34, 42, 61, 69, 76, 82, 80, 
##     85, 90, 105, 100, 96, 100, 88, 59, 27, 12, 9, 12, -7, -8, 
##     -2, -9, -8, -4, -4, 1, 2, -2, -6, 0, 0, 1, 104, 103, 96, 
##     85, 73, 69, 70, 71, 70, 55, 43, 52, 40, 37, 39, 43, 41, 44, 
##     45, 34, 15, 17, 6, 6, 2, 2, 3, 6, 4, 7, 6, 7, 5, 7, 11, 8, 
##     5, 3, 4, 5, 4, 9, 8, 16, 12, 9, 7, 4, 12, 7, 10, 8, 11, 8, 
##     9, 10, 8, 12, 12, 14, 15, 12, 11, 9, 9, 11, 13, 13, 9, 8, 
##     6, 13, 15, 8, 12, 13, 11, 11, 10, 12, 12, 13, 9, 11, 7, 4, 
##     8, 9, 7, 11, 9, 7, 8, 7, 11, 12, 11, 13, 15, 11, 10, 6, 7, 
##     1, 3, 7, 7, -125, -130, -134, -135, -132, -131, -134, -121, 
##     -117, -121, -124, -124, -125, -127, -125, -124, -123, -130, 
##     -133, -130, -132, -134, -133, -135, -137, -135, -132, -124, 
##     -113, -123, -148, -143, -122, -129, -145, -146, -145, -120, 
##     -124, -140, -139, -136, -141, -136, -138, -143, -139, -140, 
##     -138, -139, -141, -144, -142, -139, -140, -141, -141, -142, 
##     -142, -141, -141, -140, -140, -141, -140, -143, -142, -140, 
##     -138, -138, -136, -141, -141, -130, -127, -141, -138, -114, 
##     -130, -126, -121, -122, -124, -107, -74, -65, -72, -39, -65, 
##     -62, -61, -77, -83, -94, -104, -115, -107, -89, -87, -99, 
##     -99, -134, -129, -137, -118, -111, -93, -78, -50, -63, -65, 
##     -71, -60, -75, -79, -77, -75, -82, -113, -104, -96, -92, 
##     -125, -123, -78, -94, -142, -129, -173, -134, -124, -117, 
##     -124, -137, -139, -142, -133, -126, -123, -126, -134, -139, 
##     -111, -124, -116, -88, -75, -69, -63, -60, -56, -54, -58, 
##     -50, -55, -68, -58, -64, -70, -79, -82, -109, -97, -108, 
##     -96, -96, -107, -136, -125, -116, -116, -147, -152, -170, 
##     -147, -136, -135, -139, -145, -145, -146, -141, -139, -131, 
##     -146, -143, -136, -117, -114, -99, -87, -83, -64, -57, -67, 
##     -69, -72, -75, -77, -79, -83, -87, -118, -110, -116, -117, 
##     -104, -119, -102, -107, -134, -140, -145, -163, -143, -140, 
##     -82, -86, -80, -109, -111, -122, -128, -137, -141, -163, 
##     -133, -122, -124, -130, -139, -148, -140, -141, -135, -126, 
##     -118, -116, -116, -117, -107, -94, -62, -68, -58, -69, -69, 
##     -84, -82, -83, -98, -94, -97, -92, -121, -112, -130, -156, 
##     -144, -158, -165, -154, -134, -127, -141, -150, -143, -138, 
##     -130, -125, -127, -128, -134, -138, -128, -148, -152, -86, 
##     -86, -81, -71, -71, -65, -72, -73, -69, -83, -82, -76, -97, 
##     -96, -76, -78, -92, -103, -100, -115, -101, -105, -132, -188, 
##     -213, -177, -122, -114, -131, -144, -126, -121, -134, -141, 
##     -148, -106, -114, -119, -121, -124, -114, -127, -128, -120, 
##     -81, -73, -69, -59, -56, -64, -65, -69, -125, -124, -134, 
##     -128, -141, -132, -134, -137, -112, -109, -103, -76, -69, 
##     -59, -57, -54, -61, -65, -64, -69, -76, -77, -67, -71, -69, 
##     -82, -79, -65, -115, -95, -105, -49, -50, -47, -49, -58, 
##     -55, -53, -47, -48, -45, -62, -45, -45, -45, -49, -45, -44, 
##     -28, -21, 33, 33, 10, -1, -1, -1, -7, -27, -14, -9, -27, 
##     -18, -36, -41, -34, -23, -28, -26, -48, -52, -54, -43, -45, 
##     -47, -48, -49, -46, -45, -49, -51, -50, -49, -46, -52, -51, 
##     -47, -44, -47, -46, -44, -44, -31, -33, -33, -26, -14, -6, 
##     -13, -2, -5, 3, 10, 4, 11, 22, 32, 36, 40, 42, 42, 39, 40, 
##     44, 44, 43, 40, 21, 20, 10, -1, -9, -14, -10, -7, -27, -22, 
##     -23, -33, -29, -26, -26, -33, -35, -34, -47, -52, -41, -53, 
##     -48, -34, -49, -46, -45, -47, -42, -49, -54, -48, -47, -58, 
##     -50, -43, -44, -37, -36, -39, -43, -46, -45, -44, -43, -40, 
##     -24, -26, -7, 3, 9, 19, 19, 20, 21, 27, 30, 28, 38, -32, 
##     -35, -42, -28, -39, -45, -32, -45, -52, -35, -69, -50, -32, 
##     -51, -35, -41, -58, -57, -56, -53, -50, -49, -46, -45, -49, 
##     -54, -53, 34, 40, 42, 53, 60, 61, 66, 66, 62, 44, 28, -1, 
##     -18, -19, -24, -20, -26, -19, -29, -40, -15, -10, -31, -33, 
##     -39, -43, -39, -44, -31, -40, -54, -33, -48, -56, -50, -47, 
##     -60, -52, -39, -38, -44, -46, -45, -56, -55, -57, -46, -47, 
##     -45, -57, -45, -42, -43, -55, -52, -67, -58, -47, -43, -44, 
##     -37, -45, -45, -45, -44, -37, -39, -43, -42, -43, -37, -25, 
##     -14, -15, -22, -24, -17, 9, 13, 17, 21, 27, 33, 36, 36, 35, 
##     42, 49, 43, 52, 50, 50, 53, 52, -42, -40, -43, -45, -49, 
##     -47, -47, -48, -50, -49, -47, -52, -57, -53, -44, -47, -45, 
##     -44, -37, -35, -44, -46, -42, -38, -45, -39, -37, -32, 11, 
##     21, 24, 26, 31, 30, 28, 42, 41, -39, -40, -42, -40, -46, 
##     -41, -40, -43, -50, -51, -52, -40, -39, -41, -37, -39, -47, 
##     -55, -52, -50, -48, -46, -45, -44, -44, -44, -45, -52, -47, 
##     -43, -44, -46, -52, -44, -35, -34, -37, -34, -37, -39, -45, 
##     -42, -31, -40, -41, -18, -13, -2, -1, 12, 21, 20, 21, 18, 
##     24, 25, 20, 28, 24, 26, 31, 25, 24, 25, 28, 27, 24, 18, 16, 
##     -29, -29, -44, -39, -43, -36, -32, -31, -39, -44, -41, -36, 
##     -42, -55, -52, -53, -37, -38, -53, -50, -61, -50, -35, -56, 
##     -58, -62, -45, -46, -48, -48, -52, -50, -47, -53, -56, -57, 
##     -50, -48, -54, -60, -57, -51, -46, -47, -46, -42, -36, -43, 
##     -43, -43, -45, -49, -54, -54, -41, -29, -29, -33, -28, -26, 
##     -25, -18, 3, 7, 11, 13, 16, 19, 21, 22, 23, 29, 32, 31, 28, 
##     27, 32, 34, 39, 45, 36, 40, 44, 39, 37, 33, 21, 14, -21, 
##     -25, -25, -32, -37, -28, -31, -31, -19, -22, -38, -42, -37, 
##     -34, -40, -43, -48, -49, -46, -48, -52, -44, -50, -55, -49, 
##     -47, -39, -41, -55, -53, -50, -47, -49, -54, -53, -47, -46, 
##     -43, -49, -55, -55, -50, -44, -40, -45, -45, -44, -44, -47, 
##     -46, -41, -36, -34, 37, 40, 44, 48, 45, 46, 47, 40, 36, 20, 
##     21, 14, -15, -28, -33, -40, -33, -17, -10, -33, -32, -31, 
##     -41, -38, -35, 50, 49, 47, 42, 20, 15, -30, -30, -28, -17, 
##     -33, -27, -40, -34, -40, -32, -38, -48, -47, -49, -60, -53, 
##     -46, -41, -42, -47, -36, -40, -46, -34, -36, -40, -31, -18, 
##     -10, -8, -4, -5, -3, 3, 11, 8, 6, 11, 18, 24, 21, 21, 25, 
##     27, 41, 49, 56, 55, 58, 56, 47, 22, 18, 11, -17, -20, -17, 
##     -17, -14, -19, -17, -17, -8, -5, -9, -8, -2, 14, 18, 29, 
##     35, 34, 43, 46, 52, 57, 50, 55, 53, 51, 48, 47, 46, 43, 33, 
##     -43, -41, -44, -48, -47, -44, -40, -48, -50, -49, -51, -53, 
##     -51, -51, -41, -44, -44, -43, -50, -38, -41, -51, -53, -48, 
##     -49, -40, -42, -50, -47, -44, -54, -53, -46, -43, -46, -49, 
##     -44, -42, -47, -49, -47, -45, -44, -43, -44, -44, -41, -43, 
##     -8, -6, -5, -5, -2, -6, -7, -5, -2, 0, 1, 4, -1, -4, -3, 
##     1, -5, -5, -5, -4, -4, -2, 5, 4, 6, 3, -1, 6, 0, 1, 3, 10, 
##     -5, -13, -3, 0, 2, -4, -2, 3, -4, 2, -4, -3, -3, -7, -4, 
##     -3, -3, -2, -1, -3, -5, -10, -10, 4, 2, -1, -1, -5, -12, 
##     -12, -5, -3, -5, -6, -6, -5, -4, -5, -6, -4, -4, -4, -4, 
##     -4, -4, -11, -9, -5, -9, -18, -10, -4, 3, 1, -7, -11, -8, 
##     -4, -3, -5, -1, -5, -1, 4, 2, 10, 8, 14, 19, 20, 28, 34, 
##     36, 48, 55, 58, 63, 76, 85, 94, 114, 140, 138, 135, 132, 
##     128, 116, 110, 93, 77, 70, 51, 56, 26, 19, 6, 32, 33, 17, 
##     9, 32, 28, 33, 24, 22, 12, 4, 8, 4, 0, -3, 3, -11, -14, -7, 
##     -2, -10, -10, -4, -3, -2, -3, -4, -4, 1, 2, 4, 9, 2, -3, 
##     0, 0, 5, 8, 10, 17, 23, 22, 23, 31, 40, 41, 43, 46, 53, 57, 
##     60, 62, 69, 71, 78, 81, 84, 85, 92, 94, 94, 99, 109, 42, 
##     27, 34, 11, 14, 19, 24, 2, -5, 25, 22, 14, -6, -7, -5, -2, 
##     2, 4, 6, 2, -1, 1, 6, 6, 2, 79, 82, 92, 93, 95, 111, 106, 
##     90, 85, 76, 55, 87, 75, 60, 49, 40, 40, 33, 38, 43, 33, 24, 
##     26, 18, 11, 28, 22, 19, 11, 8, 10, 12, 14, 14, -11, 0, 10, 
##     13, -6, -6, 1, 5, -5, -2, 2, 3, 7, 7, 9, 4, 1, 7, 16, 14, 
##     21, 19, 13, 12, 21, 24, 37, 28, 33, 49, 53, 55, 59, 58, 61, 
##     66, 68, 70, 74, 76, 73, 76, 76, 77, 77, 77, 73, 71, 65, 65, 
##     65, 59, 56, 58, 51, 43, 42, 43, 39, 30, 32, 33, 33, 30, 26, 
##     19, 15, 12, 14, 7, 5, -3, 1, 3, 6, 10, 11, 7, 4, 3, 4, 7, 
##     3, -2, 2, 6, 12, 12, 9, 12, 20, 12, 18, 10, 0, -6, 3, 3, 
##     16, 17, 20, 29, 25, 24, 29, 25, 23, 24, 21, 22, 36, 34, 35, 
##     45, 45, 48, 45, 49, 51, 55, 56, 59, 72, 75, 76, 77, 74, 76, 
##     80, 78, 67, 54, 50, 49, 50, 47, 40, 37, 41, 46, 46, 50, 41, 
##     41, 41, 31, 28, 27, 27, 23, 21, 26, 15, 7, 10, 6, 7, 4, 6, 
##     14, 16, 17, 19, 18, 18, 16, 14, 19, 24, 24, 49, 44, 53, 53, 
##     54, 60, 61, 66, 80, 73, 76, 85, 86, 87, 87, 80, 79, 78, 73, 
##     65, 58, 38, 18, 22, 28, 19, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
##     18, 18, 18, 18, -23, -25, -18, -18, -21, -22, -31, -30, -45, 
##     -35, -25, -33, -36, -28, -26, -28, -27, -29, -39, -29, -27, 
##     -30, -35, -34, -33, -29, -33, -36, -33, -41, -23, -3, 0, 
##     -11, -25, -23, -20, -20, -18, -5, 16, 23, 23, 21, 21, 29, 
##     28, 28, 29, 31, 31, 30, 27, 27, 27, 30, 34, 36, 40, 47, 47, 
##     42, 39, 42, 45, 48, 49, 37, 21, 22, 7, 10, 12, 5, 7, 2, -2, 
##     -1, -5, -6, -18, -10, -8, -16, -16, -4, -10, -13, -15, -19, 
##     -23, -26, -29, -32, -33, -30, -28, -23, -27, -35, -12, -31, 
##     -33, -24, -19, -27, -17, -13, -15, -17, -21, -22, -20, -11, 
##     -7, -4, -6, -3, 3, 8, 11, 23, 24, 29, 36, 45, 42, 50, 53, 
##     55, 62, 71, 68, 65, 69, 73, 73, 70, 68, 51, 46, 42, 45, 30, 
##     28, 23, 27, 14, 7, 6, 2, 3, 5, 2, 4, 1, -4, -6, -6, -8, -13, 
##     -12, -14, -11, -67, -54, -42, -53, -47, -39, -42, -43, -40, 
##     -34, -40, -42, -41, -38, -42, -42, -45, -43, -41, -42, -42, 
##     -44, -44, -42, -46, -47, -48, -46, -53, -37, -43, -50, -46, 
##     -51, -48, -53, -56, -54, -49, -46, -47, -46, -47, -48, -48, 
##     -49, -47, -45, -48, -48, -47, -44, -47, -48, -47, -47, -49, 
##     -49, -48, -47, -48, -47, -48, -48, -45, -47, -49, -46, -49, 
##     -48, -48, -50, -48, -47, -55, -51, -47, -47, -50, -48, -47, 
##     -48, -47, -51, -48, -50, -53, -48, -48, -48, -48, -50, -49, 
##     -49, -44, -52, -47, -46, -49, -45, 18, 18, 18, 18, -11, -10, 
##     -5, -5, -5, -4, -4, -4, -6, -6, -6, 1, 1, -14, -13, -3, -14, 
##     -3, 8, 23, -1, -5, 5, 16, 6, 6, 6, 5, 4, 4, 4, 3, 0, 1, 0, 
##     4, 9, 11, 8, 6, 3, 8, 13, 7, 4, 15, 15, 13, 16, 23, 25, 22, 
##     26, 50, 52, 55, 60, 67, 67, 68, 72, 120, 119, 126, 124, 126, 
##     124, 120, 121, 113, 109, 93, 102, 82, 69, 66, 55, 57, 48, 
##     43, 39, 33, 32, 50, 1, 3, 3, 3, 10, 14, 12, 7, 7, 4, 9, 13, 
##     10, 11, 15, 10, 11, 11, 6, 6, -50, -70, -140, -93, -25, -136, 
##     -138, -138, -146, -120, -114, -118, -120, -139, -135, -129, 
##     -130, -139, -135, -119, -71, -66, -71, -83, -83, -101, -78, 
##     -71, -80, -109, -129, -115, -107, -114, -118, -140, -116, 
##     -123, -121, -132, -144, -187, -199, -178, -111, -124, -136, 
##     -147, -154, -110, -132, -151, -147, -142, -121, -127, -133, 
##     -126, -133, -134, -134, -125, -120, -116, -109, -98, -89, 
##     -88, -53, -85, -93, -82, -92, -96, -90, -91, -96, -122, -117, 
##     -109, -146, -160, -159, -158, -160, -142, -113, -112, -133, 
##     -131, -138, -150, -161, -140, -138, -137, -134, -127, -130, 
##     -139, -130, -177, -172, -152, -132, -109, -110, -109, -128, 
##     -142, -151, -155, -150, -133, -142, -143, -142, -138, -138, 
##     -143, -143, -143, -137, -139, -144, -142, -140, -138, -141, 
##     20, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 
##     22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 103, 120, 148, 
##     163, 176, 219, 216, 212, 200, 214, 206, 204, 194, 199, 209, 
##     211, 197, 188, 183, 164, 168, 165, 157, 144, 145, 129, 112, 
##     103, -1, 7, 47, 65, 74, 83, 94, 124, 132, 139, 155, 168, 
##     198, 204, 212, 209, 209, 210, 219, 235, 234, 102, 91, 63, 
##     67, 31, 27, 37, 25, 16, 10, 11, 10, 4, -3, -11, -18, -28, 
##     -13, -5, -5, -2, -4, 1, 2, -1, -9, -5, -18, -18, -18, -7, 
##     -5, -2, -3, -4, -6, 1, -7, -12, -19, -16, -9, -2, -7, 2, 
##     9, 10, 180, 170, 160, 151, 135, 134, 117, 113, 101, 90, 89, 
##     81, 72, 49, 46, 46, 38, 12, 9, 13, -9, 26, 15, 18, 9, 6, 
##     1, -5, -5, -14, -16, -22, -26, -25, -24, -39, -49, -47, -41, 
##     -48, -55, -47, -53, -69, -63, -69, -71, -73, -76, -74, -72, 
##     -76, -86, -59, -57, -58, -84, -53, -69, -29, -26, -24, -16, 
##     -3, 6, 21, 11, 4, 18, 22, 29, 23, 19, 19, 24, 18, 12, 13, 
##     9, 7, 9, 1, 2, -3, -7, -2, 0, 3, 4, -7, -1, 2, 1, 0, -4, 
##     1, 2, 0, 2, -1, -2, -1, 1, -2, -6, 6, 3, 4, 6, 0, 0, 2, 3, 
##     2, 3, 2, 2, 2, 4, 6, 6, 4, 4, 9, 10, 12, 14, 9, 13, 10, -1, 
##     1, -2, 2, 2, -2, 1, -4, -18, -21, -20, -20, -23, -8, 27, 
##     31, 41, 55, 66, 68, 71, 83, 34, 37, 41, 51, 66, 71, 91, 95, 
##     98, 125, 125, 129, 136, 126, 114, 106, 105, 58, 25, 13, -18, 
##     -13, 2, -4, -1, -2, -5, -2, -5, -6, 1, -1, 0, -4, 6, 18, 
##     24, 27, 37, 38, 46, 52, 58, 65, 72, 70, 79, -1, 5, 9, 18, 
##     19, 33, 50, 49, 61, 68, 80, 83, 92, 108, 107, 112, 119, 111, 
##     106, 87, 71, 67, 11, 4, 1, -8, 2, -5, -6, -1, -1, -13, -6, 
##     -3, -4, -5, -2, -4, 1, -4, -5, -2, 1, 0, -4, -3, -7, -15, 
##     -7, -1, 2, -3, 4, 11, 14, 13, 26, 58, 71, 87, 76, 84, 82, 
##     82, 77, 102, 111, 120, 124, 122, 119, 110, 104, 85, 56, 44, 
##     -5, -6, -10, -9, -7, -5, -2, -5, -4, -2, 2, 2, -2, -3, -15, 
##     -14, -9, -9, -1, 12, 26, 41, 54, 71, 89, 17, 15, 11, 17, 
##     23, 27, 24, 3, 13, 22, 9, -2, -26, -35, -38, -38, -52, -53, 
##     -55, -69, -80, -84, -94, -88, -102, -91, -106, -103, -92, 
##     -85, -85, -82, -87, -82, -87, -86, -73, -58, -36, -23, -15, 
##     9, 22, 8, 11, 12, 14, 5, 10, 7, 5, 4, 4, 10, 19, 19, 27, 
##     10, 21, 16, 6, -2, -10, -13, -21, -24, -26, -40, -39, -50, 
##     -62, -60, -47, -62, -77, -66, -65, -57, -80, -71, -66, -63, 
##     -52, -58, -74, -71, -73, -57, -53, -57, -57, -60, -16, -19, 
##     -22, -22, -18, -18, -14, -3, 18, 46, 66, 68, 11, 13, 26, 
##     15, 3, 8, 15, 17, 22, 23, 21, 22, 23, 29, 24, 17, 24, 24, 
##     33, 32, 26, 23, 29, 25, 30, 26, 24, 37, 21, 19, 25, 25, 26, 
##     32, 27, 32, 24, 25, 19, 25, 33, 27, 25, 28, 32, 29, 23, 25, 
##     24, 34, 13, 27, 29, 27, 27, 25, 17, 19, 21, 20, 14, 22, 20, 
##     25, 23, 23, 22, 24, 36, 26, 24, 27, 15, 27, 23, 28, 29, 28, 
##     27, 21, 14, 16, 18, 24, 18, 35, 30, 17, 16, 8, 9, 21, 31, 
##     38, 42, 29, 20, 11, 13, 29, 40, 23, 16, 15, 21, 22, 19, 22, 
##     22, 27, 19, 27, 27, 27, 22, 25, 26, 26, 28, 30, 28, 34, 31, 
##     30, 28, 21, 26, 25, 24, 24, 19, 23, 31, 37, 25, 26, 24, 28, 
##     35, 19, 23, 30, 30, 20, 38, 34, 33, 18, 20, 12, 41, 41, 37, 
##     24, 14, 20, 22, 20, 21, 27, 30, 30, 31, 34, 28, 26, 24, 22, 
##     26, 25, 27, 23, 20, 29, 23, 26, 24, 31, 31, 23, 23, 27, 29, 
##     25, 35, 30, 34, 40, 38, 34, 6, 14, 14, 26, 24, 22, 39, 28, 
##     29, 11, 9, 10, 24, 38, 31, 14, 19, 31, 33, 28, 20, 19, 20, 
##     25, 30, 30, 27, 32, 31, 23, 28, 39, 26, 21, 17, 23, 32, 27, 
##     31, 16, 22, 20, 26, 10, 40, 29, 28, 42, 32, 15, 24, 23, 30, 
##     28, 29, 34, 27, 23, 25, 21, 26, 27, 25, 26, 27, 27, 20, 32, 
##     26, 26, 27, 26, 30, 25, 26, 41, 33, 30, 30, 24, 21, 32, 29, 
##     26, 22, 28, 30, 30, 22, 0, -25, -25, -25, -25, -25, -25, 
##     -21, -21, -21, -21, -12, -6, -5, 1, -8, -8, -8, -8, -8, -8, 
##     -8, -8, -8, -8, -8, -10, -15, -19, -19, -19, -19, -19, -19, 
##     -19, -19, -19, -19, -19, -22, -3, -5, -12, -11, -16, -10, 
##     -8, -21, -15, -13, -20, -28, -22, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -14, -12, -11, -24, -19, 
##     -21, -20, -22, -23, -27, -20, -14, -13, -16, -16, -16, -16, 
##     -16, -19, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, 1, 1, 1, 2, 2, 2, 2, 6, 6, 8, 4, -3, -4, -2, -1, 
##     -2, -4, -1, 0, 0, 0, -15, -20, -14, -11, -3, 2, 5, 6, 5, 
##     6, -5, -4, -5, -2, -6, -5, -2, -2, -2, -1, -4, -9, -9, -3, 
##     -1, 4, 7, 3, -2, 7, 15, 11, 12, 4, 7, 7, 10, 3, 3, -4, -3, 
##     -8, -8, -5, 2, 2, -2, -5, -10, -20, -18, -15, -1, 7, 6, -1, 
##     -2, -4, -10, -10, 1, -3, 5, 1, -2, -2, 0, -2, -1, 2, 4, 1, 
##     3, 3, 8, 3, 8, 11, 9, 9, 3, 2, 0, -2, -5, -4, -4, -5, -4, 
##     -2, -4, -5, -10, -12, -11, -4, -2, 3, 9, 2, -2, -13, -12, 
##     -10, -3, 0, -2, -4, -4, -2, 0, 0, -1, -4, -3, -1, 0, 0, -2, 
##     -1, -6, 5, 2, -1, 4, 10, 4, 1, 6, 4, 1, -10, -6, -4, -4, 
##     -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 
##     -4, -1, 1, 3, 5, 8, 9, 4, -8, -4, -5, -4, -4, -4, -4, -4, 
##     -4, -4, -4, -4, -4, -4, -4, -4, -1, -2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 1, 3, -3, -3, 8, 8, 7, 8, 8, 8, 8, 6, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, -4, -2, -3, -4, -4, 
##     0, -3, -3, -2, -3, -3, -2, 1, -1, 1, -1, -1, -4, -5, -3, 
##     -10, -3, -4, -5, -1, 1, -4, -3, -7, -9, -9, -2, -7, -7, -5, 
##     1, -4, -2, 5, -2, -2, -5, -3, -3, -4, -3, -12, -7, -1, -12, 
##     -5, -3, -8, -3, -1, -13, -9, -11, -3, -1, -3, 2, 5, 3, -1, 
##     1, -1, 0, 0, -3, -3, -6, -5, -2, -3, -4, 0, -2, 2, -4, -4, 
##     -10, -1, -2, -9, -1, -5, -6, -4, -3, 2, -2, -6, -9, -4, -2, 
##     -9, -1, -9, -8, -5, -3, -10, -15, -3, 1, -13, -2, -6, -2, 
##     -3, -2, -2, -1, -4, -6, 3, -3, -10, -13, 3, 3, -1, -6, -11, 
##     -7, -6, -9, -5, -2, -6, -2, -1, -4, -6, -6, -8, -5, -4, -5, 
##     -8, -7, -9, -1, 1, -2, -6, 1, 5, 2, -9, -8, -6, -4, -7, -7, 
##     -5, -4, -4, -3, -1, -5, -2, -9, -6, -3, -6, -6, -6, 0, -1, 
##     -1, -3, -7, -2, -5, -11, -5, -4, -14, -10, -2, -2, 0, -1, 
##     -5, -4, -7, -4, -7, -4, -4, -4, -5, -3, -7, -6, -2, -8, -7, 
##     -3, -5, -3, -1, -1, -2, -11, -1, -2, 3, 3, -3, -3, -11, -15, 
##     -11, 4, -7, -9, -3, -5, -7, -2, -5, -3, 3, -1, 0, 1, -11, 
##     -2, -7, -8, -13, 1, 4, 3, 0, -6, -4, -4, -6, -2, -6, -1, 
##     2, -6, -1, 2, 20, 7, -5, -18, -7, -14, -8, 0, -8, -8, -9, 
##     -1, 1, -5, -5, -3, -6, -5, -2, -5, 1, -4, -12, -3, -6, -10, 
##     -7, -4, -2, -4, -4, -6, -10, -1, -8, -3, -8, 3, -9, -3, -6, 
##     4, -17, -12, -7, -11, -11, 2, -11, -4, -9, -10, -5, -1, -1, 
##     -8, -8, -3, 0, -2, -2, -1, -5, -6, -2, 0, -4, -8, -10, -10, 
##     -7, -4, -4, -3, -3, -4, -1, -3, -5, -5, -6, -8, -12, -5, 
##     -9, -8, -2, -11, -14, -10, -7, -6, -4, -5, -1, 2, -3, 0, 
##     -5, -4, -8, -5, -3, -3, 1, -5, -13, -4, -1, -2, -1, -5, -6, 
##     -5, 0, 0, -1, -11, -8, -1, -9, -5, -2, -6, -5, -2, -2, -6, 
##     -2, -10, -5, -8, -8, -6, -2, 1, 3, -2, -5, 0, 0, -4, -6, 
##     1, -1, -11, -8, 3, -2, -2, -4, -9, 7, 2, 3, -6, -4, 3, -7, 
##     -11, -8, -11, -9, -9, -6, -6, -1, -4, -5, -2, -2, -1, -2, 
##     -3, -2, -5, 0, 0, -1, -6, -3, 0, -4, -3, -5, -5, -2, -3, 
##     -4, -2, -5, -1, -65, -69, -72, -76, -56, -64, -81, -84, -83, 
##     -81, -79, -82, -71, -76, -87, -94, -80, -118, -117, -137, 
##     -137, -124, -134, -139, -140, -143, -155, -145, -149, -152, 
##     -129, -126, -125, -125, -130, -150, -150, -136, -132, -134, 
##     -137, -139, -149, -150, -151, -145, -137, -151, -143, -143, 
##     -147, -144, -143, -140, -139, -139, -142, -142, -141, -138, 
##     -143, -143, -144, -144, -144, -140, -139, -140, -140, -144, 
##     -144, -144, -141, -139, -145, -142, -142, -144, -144, -151, 
##     -147, -140, -145, -143, -145, -145, -142, -141, -143, -146, 
##     -148, -141, -142, -144, -143, -140, -150, -147, -140, -140, 
##     -140, -153, -146, -140, -136, -145, -136, -144, -147, -149, 
##     -155, -148, -128, -143, -139, -137, -138, -150, -159, -127, 
##     -147, -149, -138, -153, -149, -136, -146, -145, -153, -140, 
##     -137, -139, -147, -147, -142, -146, -144, -135, -132, -142, 
##     -146, -132, -162, -130, -140, -146, -164, -162, -137, -136, 
##     -152, -154, -151, -152, -141, -136, -133, -130, -133, -143, 
##     -145, -155, -154, -141, -140, -147, -143, -142, -158, -152, 
##     -146, -142, -146, -141, -142, -139, -145, -148, -132, -119, 
##     -151, -135, -149, -139, -153, -145, -138, -138, -157, -159, 
##     -148, -143, -148, -133, -149, -148, -145, -142, -143, -144, 
##     -144, -146, -141, -144, -149, -152, -143, -139, -139, -147, 
##     -141, -153, -143, -142, -143, -139, -141, -142, -134, -134, 
##     -125, -143, -147, -138, -157, -141, -148, -136, -122, -127, 
##     -144, -168, -113, -143, -152, -161, -162, -153, -144, -138, 
##     -139, -137, -139, -146, -147, -141, -144, -137, -141, -147, 
##     -149, -144, -149, -144, -140, -138, -142, -137, -127, -143, 
##     -156, -161, -115, -125, -134, -150, -141, -145, -167, -128, 
##     -137, -141, -141, -139, -135, -135, -130, -139, -149, -147, 
##     -143, -144, -137, -129, -139, -143, -140, -136, -135, -144, 
##     -136, -147, -128, -138, -139, -143, -144, -137, -145, -144, 
##     -147, -147, -143, -137, -137, -136, -137, -142, -147, -147, 
##     -155, -154, -146, -144, -145, -140, -141, -147, -151, -153, 
##     -150, -146, -139, -139, -141, -137, -140, -138, -141, -141, 
##     -139, -142, -133, -130, -168, -133, -151, -113, -143, -149, 
##     -176, -153, -125, -144, -144, -168, -155, -137, -135, -148, 
##     -147, -144, -140, -138, -140, -148, -145, -126, -124, -142, 
##     -150, -147, -134, -161, -172, -147, -134, -150, -127, -130, 
##     -139, -127, -133, -146, -154, -161, -167, -150, -128, -135, 
##     -139, -150, -151, -146, -140, -139, -140, -140, -139, -138, 
##     -148, -145, -128, -146, -167, -146, -140, -130, -130, -140, 
##     -138, -137, -133, -156, -146, -134, -146, -152, -155, -130, 
##     -129, -149, -156, -154, -146, -136, -128, -132, -136, -150, 
##     -155, -145, -133, -135, -141, -141, -142, -139, -138, -139, 
##     -142, -145, -141, -138, -133, -140, -140, -137, -138, -144, 
##     -145, -141, -153, -145, -126, -158, -130, -144, -137, -152, 
##     -152, -157, -152, -146, -145, -146, -152, -136, -138, -139, 
##     -145, -148, -143, -142, -144, -141, -140, -140, -144, -146, 
##     -143, -143, -145, -147, -141, -144, -144, -144, -143, -146, 
##     -143, -141, -143, -146, -146, -143, -142, -144, -144, -143, 
##     -146, -142, -146, -145, -143, -145, -144, -145, -143, -138, 
##     -142, -145, -141, -140, -140, -143, -141, -140, -130, -136, 
##     -131, -130, -114, -104, -91, -108, -110, -108, -108, -108, 
##     -107, -128, -106, -80, -116, -151, -100, -91, -93, -86, -80, 
##     -84, -105, -96, -93, -95, -101, -103, -108, -111, -115, -126, 
##     -135, -135, -120, -94, -101, -119, -108, -138, -150, -139, 
##     -124, -133, -147, -135, -125, -124, -151, -175, -140, -140, 
##     -141, -140, -141, -146, -141, -145, -141, -141, -141, -139, 
##     -143, -140, -140, -141, -143, -144, -143, -142, -141, -140, 
##     -140, -140, -141, -140, -143, -144, -141, -141, -146, -27, 
##     -18, -10, 1, -3, -2, -1, 6, 10, 8, 13, 17, 15, 19, 19, 24, 
##     23, 21, 22, 21, 10, -11, -14, -28, -45, -33, -44, -35, -47, 
##     -37, -50, 21, 26, 31, 34, 39, 45, 48, 49, 55, 56, 59, 63, 
##     54, 58, 64, 42, 43, 36, 18, 1, -9, -38, -45, -44, -42, -49, 
##     -46, -46, -53, -55, -53, -53, -47, -48, -46, -51, -50, -50, 
##     -51, -51, -50, -49, -49, -45, -47, -44, -44, -43, -41, -40, 
##     -41, -40, -39, -32, -30, -30, -31, -41, -73, -48, -48, -56, 
##     -48, -50, -54, -58, -55, -48, -44, -48, -52, -48, -45, -57, 
##     -62, -46, -48, -50, -48, -47, -53, -50, -51, -50, -47, -62, 
##     -53, -50, -52, -55, -57, -49, -54, -46, -42, -46, -51, -54, 
##     -48, -40, -48, -51, -44, -56, -57, -54, -47, -49, -51, -52, 
##     -47, -56, -41, -38, -44, -53, -52, -50, -51, -49, -53, -45, 
##     -47, -56, -52, -47, -50, -45, -45, -50, -57, -43, -54, -41, 
##     -42, -55, -54, -52, -48, -54, -52, -47, -44, -46, -51, -54, 
##     -52, -47, -45, -44, -47, -48, -46, -49, -49, -48, -47, -47, 
##     -51, -54, -53, -51, -49, -46, -44, -50, -46, -45, -47, -44, 
##     -53, -44, -58, -50, -43, -43, -48, -49, -44, -48, -44, -43, 
##     -45, -47, -46, -45, -47, -49, -48, -46, -46, -46, -48, -46, 
##     -46, -46, -49, -48, -50, -51, -47, -48, -46, -52, -58, -54, 
##     -55, -56, -40, -52, -53, -46, -51, -57, -60, -43, -47, -45, 
##     -49, -45, -46, -49, -50, -53, -49, -46, -51, -62, -56, -50, 
##     -46, -44, -49, -48, -50, -46, -53, -48, -46, -46, -49, -49, 
##     -50, -49, -48, -47, -48, -52, -53, -47, -48, -51, -46, -51, 
##     -56, -55, -54, -52, -45, -46, -56, -50, -44, -57, -52, -54, 
##     -54, -53, -47, -48, -50, -46, -44, -49, -53, -55, -54, -51, 
##     -41, -40, -47, -61, -59, -55, -53, -50, -45, -43, -44, -44, 
##     -45, -48, -47, -47, -58, -58, -46, -49, -47, -43, -45, -48, 
##     -45, -53, -50, -44, -47, -50, -52, -50, -46, -50, -48, -49, 
##     -49, -53, -47, -48, -50, -47, -55, -57, -35, -51, -62, -63, 
##     -51, -43, -50, -56, -50, -48, -48, -51, -52, -50, -50, -50, 
##     -45, -45, -47, -49, -48, -56, -55, -52, -46, -46, -47, -49, 
##     -49, -56, -54, -44, -41, -46, -52, -52, -48, -46, -45, -49, 
##     -54, -49, -45, -51, -43, -46, -43, -44, -47, -48, -46, -42, 
##     -45, -45, -46, -46, -44, -47, -46, -51, -54, -61, -36, -42, 
##     -44, -48, -49, -44, -42, -61, -43, -47, -46, -46, -50, -55, 
##     -49, -52, -52, -51, -49, -48, -48, -54, -54, -50, -48, -50, 
##     -52, -51, -51, -50, -48, -46, -45, -49, -53, -52, -51, -44, 
##     -45, -50, -52, -49, -45, -51, -49, -52, -53, -48, -47, -53, 
##     -54, -45, -51, -50, -47, -46, -50, -53, -50, -47, -48, -51, 
##     -58, -43, -49, -51, -62, -68, -39, -53, -51, -46, -48, -53, 
##     -55, -56, -44, -44, -46, -49, -51, -52, -56, -57, -53, -51, 
##     -48, -51, -49, -53, -50, -49, -51, -48, -48, -46, -48, -48, 
##     -49, -50, -48, -48, -45, -47, -51, -48, -47, -52, -57, -54, 
##     -54, -41, -47, -56, -49, -50, -53, -52, -46, -52, -54, -49, 
##     -53, -54, -46, -53, -45, -46, -53, -53, -48, -44, -42, -52, 
##     -53, -56, -45, -45, -46, -53, -53, -47, -49, -53, -50, -47, 
##     -50, -53, -51, -52, -52, -49, -53, -46, -47, -47, -49, -46, 
##     -44, -44, -49, -48, -49, -46, -50, -50, -46, -56, -44, -43, 
##     -44, -53, -46, -53, -39, -59, -50, -45, -58, -43, -30, -29, 
##     -37, -52, -58, -52, -53, -46, -49, -57, -52, -48, -48, -47, 
##     -50, -50, -51, -49, -51, -54, -46, -48, -50, -54, -59, -56, 
##     -54, -50, -50, -48, -48, -46, -50, -50, -56, -54, -50, -57, 
##     -41, -45, -51, -52, -51, -51, -55, -46, -53, -48, -63, -46, 
##     -44, -44, -42, -52, -53, -48, -47, -49, -50, -49, -48, -47, 
##     -47, -60, -56, -46, -40, -54, -50, -57, -44, -52, -42, -47, 
##     -51, -46, -49, -52, -50, -46, -46, -49, -49, -48, -52, -52, 
##     -50, -49, -49, -51, -51, -47, -61, -40, -31, -24, -44, -56, 
##     -50, -55, -48, -55, -44, -54, -58, -59, -47, -44, -49, -47, 
##     -35, -56, -71, -62, -54, -49, -49, -50, -52, -52, -54, -51, 
##     -51, -48, -42, -45, -44, -45, -50, -37, -38, -35, -35, -17, 
##     6, 16, -44, -55, -61, -46, -54, -55, -38, -45, -51, -49, 
##     -48, -50, -48, -45, -60, -53, -48, -44, -53, -31, -22, -13, 
##     -23, -35, -37, -25, -21, -24, -29, -28, -25, -29, -38, -40, 
##     -27, -26, -33, -30, -32, -33, -31, -30, -30, -26, -35, -36, 
##     -32, -28, -31, -33, -32, -30, -26, -30, -32, -31, -28, -31, 
##     -31, -32, -31, -38, -34, -28, -29, -32, -31, -28, -26, -28, 
##     -31, -30, -31, -29, -30, -29, -30, -27, -25, -25, -27, -31, 
##     -28, -32, -29, -25, -23, -27, -29, -29, -26, -28, -30, -30, 
##     -30, -26, -23, -26, -27, -25, -24, -23, -27, -28, -30, -30, 
##     -28, -25, -24, -29, -28, -28, -28, -26, -26, -29, -28, -29, 
##     -30, -22, -26, -26, -27, -33, -22, -29, -19, -28, -35, -37, 
##     -34, -26, -35, -35, -30, -30, -29, -24, -18, -18, -22, -29, 
##     -31, -33, -34, -29, -27, -30, -31, -23, -23, -24, -29, -32, 
##     -27, -27, -26, -20, -18, -21, -24, -23, -23, -31, -30, -28, 
##     -29, -32, -28, -30, -29, -23, -26, -27, -29, -32, -32, -25, 
##     -27, -26, -24, -21, -29, -31, -31, -29, -26, -28, -29, -31, 
##     -27, -27, -28, -25, -29, -29, -32, -29, -27, -28, -32, -31, 
##     -21, -21, -33, -31, -25, -28, -32, -27, -25, -27, -27, -28, 
##     -29, -29, -29, -27, -28, -29, -27, -29, -26, -31, -31, -33, 
##     -26, -34, -28, -35, -35, -26, -28, -34, -27, -26, -28, -28, 
##     -25, -31, -29, -26, -28, -26, -25, -28, -28, -27, -25, -23, 
##     -25, -25, -29, -27, -27, -28, -28, -26, -29, -31, -30, -32, 
##     -31, -28, -27, -28, -31, -28, -32, -36, -31, -27, -29, -30, 
##     -26, -33, -27, -29, -36, -38, -30, -31, -32, -29, -25, -37, 
##     -45, -36, -20, -24, -34, -31, -31, -33, -32, -33, -30, -31, 
##     -28, -22, -31, -29, -27, -32, -34, -32, -32, -31, -29, -27, 
##     -26, -29, -29, -30, -30, -31, -31, -26, -26, -27, -30, -28, 
##     -27, -27, -31, -32, -30, -30, -31, -29, -32, -30, -26, -32, 
##     -27, -29, -27, -28, -33, -34, -30, -27, -30, -24, -29, -32, 
##     -33, -34, -28, -25, -30, -33, -30, -27, -25, -29, -33, -32, 
##     -29, -33, -30, -28, -29, -27, -24, -26, -24, -24, -26, -28, 
##     -31, -32, -33, -33, -29, -28, -29, -25, -29, -29, -28, -23, 
##     -24, -33, -35, -33, -36, -24, -30, -30, -30, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, -30, 
##     -30, -25, -28, -27, -29, -28, -27, -28, -27, -28, -29, -26, 
##     -28, -27, -31, -30, -28, -29, -28, -29, -26, -26, -32, -33, 
##     -29, -33, -32, -29, -28, -28, -25, -32, -31, -29, -28, -34, 
##     -42, -26, -27, -31, -32, -33, -27, -36, -38, -35, -33, -28, 
##     -24, -31, -32, -31, -30, -33, -34, -34, -26, -25, -24, -28, 
##     -34, -33, -32, -21, -30, -30, -25, -24, -26, -31, -31, -35, 
##     -34, -33, -32, -26, -22, -21, -26, -30, -35, -39, -34, -24, 
##     -21, -19, -31, -32, -32, -28, -32, -27, -134, -132, -148, 
##     -131, -143, -141, -141, -142, -140, -140, -144, -142, -145, 
##     -143, -140, -142, -142, -142, -141, -142, -144, -152, -139, 
##     -131, -137, -167, -144, -124, -109, -118, -162, -145, -141, 
##     -137, -124, -137, -117, -128, -118, -119, -118, -145, -143, 
##     -152, -141, -136, -153, -140, -142, -146, -146, -141, -160, 
##     -137, -144, -146, -143, -143, -137, -144, -155, -35, -25, 
##     0, 16, 13, 1, 1, -1, -1, -5, -9, -7, -4, -5, 2, 6, 5, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, 0, 4, 4, 6, 8, 9, 6, 
##     7, 4, -1, -4, -9, -10, -7, -8, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 24, 
##     30, 27, 25, 27, 31, 21, 27, 29, 25, 13, 34, 1, 34, 1, 19, 
##     38, 34, 15, 8, 15, 12, 25, 35, 36, 35, 23, 27, 19, 20, 23, 
##     24, 36, 42, 29, 19, 14, 16, 18, 22, 22, 20, 18, 26, 28, 32, 
##     24, 18, 31, 22, 24, 21, 30, 27, 14, 4, 24, 13, 26, 37, 37, 
##     9, 12, 16, 14, 24, 41, 36, 21, 14, 24, 19, 14, 20, 27, 23, 
##     29, 17, 18, 19, 24, 28, 40, 38, 29, 24, 6, 8, 27, 18, 22, 
##     23, 27, 25, 16, 36, 24, 24, 17, 17, 27, 26, 39, 26, 26, 28, 
##     26, 29, 27, 27, 17, 17, 27, 28, 34, 25, 27, 0, 1, -10, -10, 
##     -14, -5, -2, -9, -4, -1, 0, -1, -2, -1, 2, -1, 1, -1, 0, 
##     -4, -1, -2, -1, 0, 2, 1, 2, 4, -7, -11, -1, -1, -2, -3, 3, 
##     1, -1, -3, -2, -7, -9, -6, -7, -5, -12, -10, -3, -3, -1, 
##     -3, -3, -8, 3, 3, 4, 7, 8, 10, 11, 7, 4, 5, 5, 5, 6, 4, 6, 
##     5, 6, 12, 10, 13, 10, 13, 11, 5, 8, 8, 5, 9, 9, 8, 8, 5, 
##     11, 6, 7, 4, 6, 6, 2, -1, 3, 4, 2, 3, 2, 3, 8, 5, 6, 3, 4, 
##     6, 6, 5, 6, 6, 4, 5, 17, 12, 8, 10, 12, 14, 5, 9, 4, 7, 8, 
##     5, 5, 8, -1, 1, -1, 2, 3, 4, 5, 17, 7, 14, 6, 3, 8, 8, 2, 
##     6, 9, 4, 6, 2, 3, 5, -3, 6, 0, 4, 6, -4, -1, 0, 1, 2, 1, 
##     0, 2, 0, 0, 2, 0, -1, 0, 2, 3, 3, 3, 3, 3, 3, -1, 1, 5, -1, 
##     1, -1, 0, 1, 1, -2, -1, 1, -3, -1, 3, 3, 2, 1, 0, 1, 1, 2, 
##     -1, 0, -3, -1, 30, 38, 28, 30, 30, 14, 16, 18, 21, 32, 28, 
##     30, 31, 33, 32, 11, 29, 27, 28, 28, 28, 26, 30, 31, 31, 26, 
##     21, 23, 27, 22, 25, 27, 26, 31, 24, 29, 35, 32, 38, 27, 22, 
##     26, 24, 23, 28, 33, 27, 28, 32, 31, 20, 35, 16, 33, 27, 18, 
##     35, 25, 21, 23, 19, 23, 24, 23, 22, 25, 24, 20, 34, 35, 27, 
##     38, 44, 27, 16, 18, 25, 31, 37, 28, 26, 20, 22, 20, 26, 21, 
##     15, 31, 26, 29, 30, 30, 17, 27, 31, 22, 25, 37, 42, 38, 26, 
##     24, 28, 16, 25, 32, 44, 39, 14, 25, 38, 20, 14, 20, 17, 36, 
##     36, 14, 19, 27, 31, 12, 26, 21, 21, 37, 30, 29, 29, 25, 21, 
##     24, 26, 23, 30, 15, 18, 24, 23, 29, 13, 43, 34, 26, 33, 25, 
##     21, 20, 28, 35, 35, 28, 25, 22, 25, 29, 29, 28, 27, 31, 26, 
##     33, 27, 23, 26, 24, 25, 28, 26, 28, 26, 7, 24, 15, 23, 20, 
##     18, 14, 25, 20, 12, 23, 13, 11, 27, 27, 33, 11, 24, 18, 24, 
##     22, 18, 23, 20, 21, 27, 25, 22, 24, 28, 18, 21, 19, 15, 19, 
##     23, 22, 15, 16, 25, 24, 25, 21, 30, 28, 23, 17, 14, 18, 17, 
##     24, 21, 18, 17, 13, 20, 19, 24, 14, 4, -6, 1, 7, 11, 2, 9, 
##     13, 10, 5, 7, 13, 2, 7, -1, 14, 13, 14, 21, 24, 24, 17, 0, 
##     5, 19, 23, 17, 21, 17, 20, 26, 22, 15, 15, 21, 22, 11, 12, 
##     5, 2, 10, 17, -1, -1, 14, 15, 4, 0, 9, 7, 11, 11, 13, 9, 
##     9, 11, 9, 15, 17, 21, 18, 16, 15, 15, 14, 11, 19, 13, 9, 
##     21, 17, 14, 16, 10, 6, -9, -2, 3, -6, -8, 0, 1, 9, 9, 4, 
##     2, -3, 6, 5, -3, 7, 9, 11, 7, 11, -2, -2, 0, 7, 12, 26, 14, 
##     6, 14, 13, 13, 13, 16, 15, 12, 15, 15, 14, 18, 22, 14, 16, 
##     11, 15, 15, 11, -4, -4, -7, 4, -1, 8, 11, 10, 11, 5, 14, 
##     8, 15, 5, -1, 6, 12, 9, 18, 19, 9, 6, 19, 16, 12, 12, 13, 
##     13, 12, 17, 21, 20, 20, 17, 22, 23, 24, 24, 21, 18, 17, 16, 
##     14, 13, 25, 26, 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 11, 3, 9, 7, 9, 11, 16, 18, 11, 8, 
##     2, 5, 13, 16, 20, 9, 7, 5, 6, 14, 11, 11, 10, 7, 2, 0, 15, 
##     13, -2, -1, 1, 4, 11, 9, 7, 5, 2, 0, -5, -3, -5, -4, -1, 
##     1, 5, 7, 3, 6, 11, 12, -3, -4, 2, 14, 18, 20, 15, 13, 12, 
##     15, 14, 14, 17, 25, 25, 19, 17, 8, 8, 12, 22, 23, 21, 18, 
##     20, 18, 28, 23, 5, -2, 15, 17, 16, 13, 10, 6, 10, 11, 14, 
##     11, 9, 10, 13, 12, 12, 8, 7, 5, 4, 2, 0, 0, -4, -4, 2, 1, 
##     3, 5, 9, 11, 8, 6, 9, 9, 10, 6, 16, 17, 19, 24, 23, 16, 14, 
##     17, 20, 21, 23, 19, 14, 13, 16, 14, 18, 18, 2, 2, 7, 7, 11, 
##     10, 8, 12, 11, 9, 11, 6, 18, 19, 22, 26, 20, 17, 21, 29, 
##     37, 29, 24, 22, 25, 30, 29, 26, 26, 23, 25, 20, 24, 17, 27, 
##     29, 25, 19, 11, 11, 16, 12, 11, 18, 14, 12, 11, 11, 11, 11, 
##     11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 4, -1, 1, -3, -4, -4, 
##     -4, 0, 6, 5, 2, 0, 2, 2, -14, -17, -22, -5, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -72, -60, -12, 5, -7, 
##     -13, -11, -25, -29, -10, 0, 6, 15, 19, 33, 37, 27, 17, 19, 
##     22, 25, 41, 38, 43, 44, 49, 61, 46, 42, 46, 49, 47, 42, 29, 
##     43, 27, 21, 20, 9, 0, -6, 1, -1, -5, -12, -12, -12, -13, 
##     -10, -5, 4, 0, 9, -10, -32, -63, -74, -69, -8, 9, 6, -2, 
##     -11, -10, -35, -32, -31, -19, 1, 1, 6, 11, 15, 7, 13, 25, 
##     33, 46, 50, 50, 28, 56, 53, 51, 51, 52, 53, 60, 58, 59, 40, 
##     34, 40, 48, 52, 56, 48, 45, 42, 13, -11, -4, 4, 2, -6, -5, 
##     -7, -6, -21, -34, -8, -8, -7, -16, -22, -28, -24, -24, -26, 
##     -21, -13, -6, 2, 4, 5, 3, 15, 24, 25, 34, 29, 27, 26, 24, 
##     23, 29, 29, 40, 43, 58, 55, 47, 49, 53, 35, 34, 42, 41, 32, 
##     22, 17, 2, 4, 4, 4, 4, 7, 2, 2, -9, -9, -9, -9, -12, -12, 
##     -12, -6, -7, 3, 7, 11, -7, -27, -65, -54, -5, -18, -17, -16, 
##     -13, -9, -9, -5, -2, 6, 0, 19, 18, 13, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     4, 5, 7, 6, 5, 5, 3, 3, 3, 5, 5, 8, 8, 7, 3, 3, 3, 5, 3, 
##     5, -4, -7, -7, -6, -6, -4, -5, -6, -6, -2, -6, -6, -5, 1, 
##     3, 2, 2, 3, 6, 8, 11, 3, 0, 3, 1, 0, 2, -4, -1, 3, 1, 4, 
##     4, -1, 3, 3, 8, 11, 3, -4, -4, 0, -1, -2, -2, 0, -1, 2, 2, 
##     1, 3, 2, 0, -8, -4, -5, 0, 8, 15, 11, 6, 3, 8, 5, 5, 4, 4, 
##     4, 2, 1, 3, 4, 2, 2, -2, 4, 2, 7, -1, -3, 6, 12, 5, 5, 1, 
##     -4, 1, 1, 0, -3, -2, -4, -3, 0, 1, 3, 2, 1, 0, 2, 1, 2, 2, 
##     -2, 0, 2, -2, 1, 0, 0, -2, 2, 6, 5, 8, 13, 9, 6, 5, 6, 5, 
##     6, 0, 0, -3, 0, 3, 5, 0, 9, 5, -1, 4, 7, 2, 2, -2, -5, -8, 
##     -8, -5, 0, 3, 0, -3, 1, 2, 3, 1, 2, -3, -5, -4, 0, 2, 6, 
##     3, 6, 9, 11, 11, 4, 4, 1, 2, 0, -2, -2, 0, 8, 5, 3, 3, 6, 
##     1, 8, 5, -3, -5, -8, -1, -2, 0, 1, 3, 0, -2, -5, -2, 8, 8, 
##     9, 11, 10, 13, 11, 1, 3, -1, 3, 0, -5, 3, 6, 7, 3, 2, 6, 
##     0, 3, 7, 8, 1, 2, -1, 3, 2, -4, 0, -1, 1, 0, 1, 1, 3, 4, 
##     10, 1, 0, 3, 0, 9, 2, -3, 6, 11, 2, 1, 1, 0, 4, 3, -1, 2, 
##     1, 2, 4, 6, 1, 4, 8, 3, 5, 7, 5, 11, 11, 7, 6, 15, 17, 10, 
##     10, 10, 10, 9, 9, 9, 6, 5, 20, 11, 11, 11, 21, 10, 6, 6, 
##     12, 12, 8, 6, 2, 4, 4, 3, -146, -141, -142, -143, -146, -146, 
##     -140, -144, -145, -141, -140, -141, -146, -146, -152, -149, 
##     -143, -149, -144, -149, -137, -133, -138, -142, -141, -135, 
##     -144, -124, -127, -129, -149, -140, -144, -145, -138, -139, 
##     -144, -141, -142, -141, -142, -142, -140, -138, -136, -140, 
##     -143, -137, -141, -141, -141, -145, -150, -148, -126, -144, 
##     -146, -142, -139, -138, -154, -145, -132, -130, -163, -154, 
##     -135, -138, -141, -142, -142, -143, -138, -139, -138, -141, 
##     -142, -142, -141, -145, -139, -141, -142, -142, -143, -141, 
##     -145, -132, -145, -142, -131, -133, -153, -142, -135, -110, 
##     -128, -133, -134, -135, -134, -138, -138, -134, -141, -105, 
##     -112, -120, -125, -124, -132, -131, -138, -160, -122, -100, 
##     -137, -133, -129, -141, -138, -145, -152, -155, -139, -118, 
##     -121, -137, -126, -124, -126, -128, -144, -125, -139, -134, 
##     -117, -151, -142, -148, -138, -135, -134, -132, -137, -138, 
##     -138, -148, -140, -135, -135, -128, -123, -130, -135, -138, 
##     -128, -131, -128, -122, -126, -122, -124, -122, -119, -124, 
##     -136, -145, -155, -140, -126, -149, -148, -127, -148, -135, 
##     -131, -143, -136, -138, -138, -139, -141, -138, -135, -139, 
##     -139, -136, -134, -136, -131, -128, -130, -131, -138, -134, 
##     -126, -126, -125, -121, -120, -124, -133, -131, -124, -132, 
##     -121, -121, -125, -148, -131, -145, -141, -142, -139, -139, 
##     -138, -135, -139, -143, -134, -136, -137, -133, -134, -137, 
##     -132, -139, -134, -111, -119, -127, -123, -117, -123, -133, 
##     -125, -136, -141, -135, -133, -127, -132, -143, -134, -127, 
##     -142, -141, -139, -136, -134, -137, -138, -136, -137, -141, 
##     -126, -130, -126, -120, -130, -112, -107, -113, -117, -104, 
##     -103, -103, -107, -126, -128, -120, -103, -133, -124, -128, 
##     -133, -134, -128, -125, -123, -132, -124, -124, -129, -129, 
##     -129, -133, -134, -129, -126, -139, -138, -127, -137, -124, 
##     -138, -141, -133, -140, -133, -134, -141, -135, -131, -128, 
##     -131, -130, -131, -140, -137, -133, -118, -105, -107, -121, 
##     -122, -118, -128, -128, -133, -121, -135, -128, -129, -140, 
##     -122, -136, -140, -135, -143, -148, -131, -133, -136, -139, 
##     -143, -142, -137, -128, -134, -127, -130, -140, -133, -109, 
##     -102, -107, -118, -121, -125, -126, -124, -122, -118, -127, 
##     -119, -138, -132, -132, -138, -128, -130, -141, -142, -151, 
##     -135, -139, -141, -138, -140, -138, -138, -135, -139, -137, 
##     -137, -135, -138, -140, -136, -139, -137, -138, -138, -136, 
##     -135, -140, -136, -138, -136, -137, -141, -143, -141, -141, 
##     -143, -140, -139, -139, -138, -135, -135, -137, -141, -140, 
##     -138, -141, -138, -140, -141, -139, -141, -137, -140, -137, 
##     -139, -141, -139, -138, -137, -139, -139, -138, -139, -138, 
##     -141, -140, -139, -58, -50, -42, -41, -46, -48, -48, -52, 
##     -47, -49, -49, -49, -50, -49, -45, -40, -59, -50, -48, -49, 
##     -48, -47, -47, -48, -47, -58, -40, -37, -50, -48, -43, -55, 
##     -52, -48, -54, -48, -47, -48, -44, -47, -48, -45, -48, -48, 
##     -48, -44, -44, -45, -51, -47, -47, -51, -46, -48, -44, -44, 
##     -50, -48, -45, -47, -55, -52, -51, -46, -45, -50, -55, -52, 
##     -47, -49, -50, -49, -47, -42, -43, -46, -50, -51, -52, -54, 
##     -55, -54, -52, -50, -51, -57, -59, -65, -61, -58, -54, -54, 
##     -58, -51, -51, -56, -49, -52, -52, -52, -52, -50, -49, -51, 
##     -51, -47, -50, -48, -47, -46, -50, -49, -49, -45, -45, -43, 
##     -44, -43, -38, -31, -23, -26, -30, -32, -32, -44, -43, -43, 
##     -40, -46, -44, -43, -41, -39, -40, -39, -42, -44, -40, -40, 
##     -39, -42, -40, -38, -38, -41, -37, -38, -33, -34, -34, -33, 
##     -29, -29, -33, -32, -34, -30, -36, -39, -38, -40, -42, -42, 
##     -41, -41, -42, -41, -44, -47, -47, -42, -46, -52, -47, -43, 
##     -39, -38, -36, -38, -37, -36, -35, -39, -39, -41, -41, -40, 
##     -41, -38, -43, -50, -42, -42, -48, -45, -41, -41, -45, -56, 
##     -35, -44, -48, -40, -38, -48, -52, -47, -48, -49, -48, -47, 
##     -51, -46, -47, -48, -48, -41, -43, -42, -45, -49, -48, -43, 
##     -40, -41, -43, -47, -47, -45, -43, -43, -45, -43, -41, -44, 
##     -36, -44, -42, -34, -40, -43, -43, -40, -42, -43, -44, -42, 
##     -43, -47, -47, -44, -44, -39, -43, -45, -41, -41, -46, -40, 
##     -42, -46, -51, -46, -46, -46, -47, -47, -51, -46, -45, -59, 
##     -42, -51, -40, -43, -46, -41, -38, -39, -39, -39, -37, -44, 
##     -44, -39, -42, -34, -37, -35, -33, -35, -35, -36, -39, -39, 
##     -39, -41, -41, -44, -36, -48, -42, -49, -59, -45, -47, -43, 
##     -43, -47, -52, -47, -47, -49, -47, -46, -50, -51, -48, -47, 
##     -50, -48, -44, -44, -51, -43, -44, -42, -38, -42, -38, -41, 
##     -47, -47, -49, -49, -53, -51, -43, -42, -49, -43, -42, -47, 
##     -40, -42, -44, -43, -44, -43, -43, -44, -42, -37, -39, -42, 
##     -36, -30, -31, -28, -30, -35, -33, -34, -39, -41, -35, -45, 
##     -46, -45, -47, -50, -47, -45, -46, -50, -43, -51, -44, -40, 
##     -39, -40, -41, -43, -43, -43, -39, -42, -44, -38, -42, -42, 
##     -42, -41, -52, -51, -43, -46, -42, -44, -49, -50, -48, -44, 
##     -45, -43, -47, -45, -45, -45, -50, -47, -48, -47, -49, -49, 
##     -51, -50, -47, -53, -58, -50, -49, -49, -53, -44, -56, -55, 
##     -54, -58, -55, -55, -45, -51, -50, -45, -45, -44, -46, -48, 
##     -50, -55, -55, -65, -69, -47, -45, -46, -45, -44, -50, -50, 
##     -46, -44, -46, -52, -49, -49, -51, -44, -43, -45, -45, -45, 
##     -45, -45, -45, -45, -45, -45, -46, -48, -45, -42, -56, -46, 
##     -44, -52, -51, -41, -45, -55, -48, -55, -53, -47, -45, -53, 
##     -51, -49, -46, -47, -46, -48, -47, -49, -53, -46, -50, -49, 
##     -46, -47, -50, -48, -51, -49, -47, -48, -51, -52, -53, -50, 
##     -49, -50, -45, -30, -30, -30, -30, -30, -30, -30, -30, -30, 
##     -30, -30, -30, -30, -30, -36, -36, -40, -51, -7, 24, 38, 
##     32, -13, -7, -7, -2, 5, -5, -7, -5, -5, -9, -8, -2, -14, 
##     -12, -8, -9, -9, -12, -16, -9, -9, -13, -14, -22, -26, -3, 
##     3, 2, -1, -7, -8, -9, 8, 1, -2, -2, -3, 2, 2, 2, 2, 2, -1, 
##     0, -1, -2, -3, -3, -3, -4, 3, 3, 3, 1, 10, 9, 10, 12, 16, 
##     1, 2, 2, 3, 18, 15, 11, 12, 15, 13, 9, 9, 9, 9, 9, 9, 11, 
##     11, 12, 11, 11, 15, 15, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 
##     13, 0, 15, 9, 0, 1, 4, 7, 12, 21, 17, 10, 9, 9, 8, 6, 10, 
##     11, 12, 12, 11, 8, 10, 13, 10, 5, 7, 9, 9, 9, 9, 7, 8, 6, 
##     10, 5, 9, 4, 4, 4, 4, 2, 2, 7, 7, 13, 6, 6, 11, 9, 7, 5, 
##     2, 4, 4, 7, 5, 18, 17, 17, 17, 17, 17, 17, 9, 12, 19, 19, 
##     19, 17, 7, 10, 17, 24, 4, 4, 5, 3, -7, 1, -2, -6, -6, -4, 
##     -5, -5, -4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 5, 
##     5, 6, 5, 4, 3, 3, 3, 3, 3, 2, 4, 4, 4, 2, -1, 6, 10, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 1, 1, 1, 16, 12, 
##     16, 16, 9, 20, 18, 14, 19, 19, 20, 20, 20, 20, 20, 20, 20, 
##     20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 4, 4, 8, 8, 14, 
##     2, 4, 7, -1, -2, 3, 8, 3, 5, -1, 0, 2, 6, 6, 8, 4, 1, 2, 
##     5, 7, 6, 6, 4, 7, 2, 3, 12, 11, 4, 1, 1, 4, 4, 1, -3, 1, 
##     6, 2, 2, -3, -7, -7, -9, -16, -11, -6, 1, 2, 3, -2, -5, -6, 
##     -6, -11, -11, -11, -11, -11, -138, -137, -135, -130, -131, 
##     -135, -136, -139, -138, -137, -139, -139, -138, -139, -138, 
##     -137, -137, -139, -139, -136, -135, -138, -139, -139, -138, 
##     -124, -132, -139, -139, -138, -131, -133, -139, -141, -137, 
##     -133, -136, -128, -131, -127, -133, -135, -134, -119, -110, 
##     -114, -135, -136, -135, -138, -140, -140, -136, -134, -136, 
##     -139, -138, -136, -136, -130, -133, -137, -131, -117, -101, 
##     -119, -127, -127, -131, -133, -133, -137, -121, -135, -132, 
##     -152, -144, -118, -153, -131, -130, -134, -134, -139, -140, 
##     -140, -136, -135, -140, -136, -136, -133, -132, 38, 56, 65, 
##     70, 59, 68, 61, 58, 46, 57, 57, 52, 46, 44, -1, -5, -10, 
##     4, -10, 14, 6, -14, 1, -10, -10, -12, -27, -28, -15, -8, 
##     -5, -5, -1, 5, 6, 9, 10, 22, 25, 31, 46, 36, 19, 29, 34, 
##     25, 25, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 8, 8, 8, 
##     8, 8, 8, 8, 8, 8, -2, -8, -16, -17, -16, -12, 5, 6, 13, 11, 
##     -67, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 32, 
##     32, 35, 35, 35, 34, 30, 30, 31, 31, 31, 24, 24, 23, 25, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 
##     -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 
##     -15, 20, 17, 20, 22, 21, 17, 20, 16, 15, 16, 18, 16, 14, 
##     10, 10, 10, 24, 14, 16, 16, 17, 11, 7, 13, 12, 6, 20, 24, 
##     22, 8, 2, 9, 9, 11, 11, 9, 20, 10, 14, 15, 17, 11, 23, 32, 
##     34, 29, 27, 21, 18, 22, 26, 24, 24, 22, 24, 29, 27, 24, 26, 
##     17, 16, 19, 22, 27, 17, 25, 34, 28, 29, 25, 31, 28, 24, 31, 
##     27, 23, 28, 29, 21, 18, 24, 29, 33, 31, 28, 27, 24, 11, 7, 
##     7, 2, 13, 12, 4, 6, 4, 1, 11, 7, 1, 4, 11, -2, -7, -2, -1, 
##     -3, -1, 2, 1, 1, 3, 3, 3, -2, 4, 4, -3, 5, 4, 8, 11, 14, 
##     18, 17, 13, 8, 10, 8, 6, 5, 6, 6, 7, 14, 9, 9, 10, 7, 7, 
##     12, 3, 5, 5, 6, 6, 5, 4, 4, 4, 5, 5, 5, 5, 4, 5, 4, 4, 6, 
##     5, 4, 5, 5, 4, 3, 1, 0, 1, -2, 4, 17, 0, -13, -11, -1, 29, 
##     19, 12, 20, 53, 57, 58, -142, -142, -142, -30, -36, -35, 
##     -38, -49, -65, -63, -49, -33, -15, -14, -9, 4, 13, 18, 22, 
##     49, 60, 66, 63, 69, 76, 78, 88, 89, 76, 79, 83, 80, 79, 62, 
##     60, 32, 27, 21, 5, -9, -17, -32, -40, -12, -29, -32, -26, 
##     -47, -41, -33, -42, -54, -56, -64, -54, -47, -46, -37, -36, 
##     -39, -44, -43, -42, -35, -27, -36, -37, -42, -62, -50, -52, 
##     -63, -62, -55, -13, -10, 5, 40, 61, 67, 67, 91, 98, 84, 88, 
##     86, 74, 63, 63, 64, 55, 43, 36, 27, 7, -7, -18, -28, -37, 
##     -39, -41, -39, -36, -40, -37, -43, -55, -62, -57, -54, -54, 
##     -64, -71, -69, -61, -53, -49, -51, -51, -42, -33, -40, -42, 
##     -39, -35, -31, -31, -32, -26, -65, -65, -42, -26, -34, -32, 
##     -44, -48, -59, -18, -15, -10, 1, -16, 10, 5, -8, -35, -32, 
##     -8, -15, -22, -19, -33, -45, -2, 2, 1, 1, 0, 0, -1, -1, -1, 
##     -3, 2, 3, 8, 6, 7, 2, 3, 32, 51, 56, 73, 76, 86, 98, 113, 
##     120, 127, 130, 141, 201, 213, 207, 199, 182, 167, 155, 147, 
##     137, 112, 99, 78, 67, 61, 44, 14, 2, 3, 30, 4, -20, -9, 2, 
##     0, 5, 6, 2, -4, -1, -8, -7, -3, -13, 0, 0, 0, -1, -4, -6, 
##     -9, -10, -6, 1, 9, 6, 11, 16, 13, 11, 5, 10, 5, 10, 15, 35, 
##     44, 50, 72, 83, 90, 96, 111, 138, 162, 193, 215, 204, 172, 
##     100, 87, 78, 81, 40, 36, 41, 26, 19, 25, 25, 15, 20, 17, 
##     10, 2, -1, 1, 0, 2, 6, 15, 4, -6, -17, 7, 6, 4, 10, 0, -5, 
##     2, 3, 4, 0, -5, -6, -4, 2, -2, -1, -9, 2, 5, 30, 46, 51, 
##     55, 71, 103, 130, 187, 187, 193, 197, 197, 191, 182, 172, 
##     155, 129, 109, 92, 71, 59, 65, 54, 34, 33, 35, 29, 8, 11, 
##     13, 28, 72, 90, 139, 159, 178, 180, 187, 188, 187, 150, 121, 
##     103, 76, 56, 26, 9, 32, 6, 13, -22, -33, -2, 9, 14, 12, 13, 
##     0, -20, -23, -22, -24, -7, 2, 7, 10, 7, 35, 41, 43, 62, 69, 
##     84, 105, 110, 117, 130, 136, 137, 148, 162, 166, 164, 134, 
##     101, 66, 53, 36, 21, 22, 16, 13, 25, 26, 10, 0, -12, -27, 
##     0, 2, 7, 2, 3, 0, 0, 0, -6, 1, 0, 0, 0, 3, 0, -1, -1, -2, 
##     -3, -5, 43, 42, 39, 37, 24, 24, 31, 33, 36, 39, 30, 17, 4, 
##     5, -3, -6, -8, -4, 1, 3, -4, -9, -5, -1, 4, -4, -1, 0, 1, 
##     0, -1, 0, 0, -1, 2, 5, 6, 0, 2, 13, 9, 17, 20, 10, 21, 35, 
##     38, 49, 57, 61, 64, 73, 70, 57, 54, 48, 42, 36, 27, 30, 32, 
##     18, 14, 13, 3, 11, 2, 0, 1, -19, -3, -7, -14, -7, 0, -5, 
##     -1, -6, -5, 2, 11, 10, 12, 15, 22, 26, 32, 39, 42, 23, 27, 
##     26, 26, 36, 47, 56, 60, 67, 68, 64, 40, 41, 39, 41, 40, 28, 
##     30, 31, 29, 21, 32, 17, 20, 22, 24, 20, 9, 5, -4, 4, -19, 
##     -12, 0, 4, -2, -7, 1, -3, -6, -4, -6, -6, -3, 2, 4, -1, 3, 
##     7, 8, 17, 18, 20, 25, 20, 22, 32, 32, 26, 34, 41, 52, 49, 
##     53, 70, 78, 79, 83, 83, 76, 70, 67, 63, 60, 48, 53, 55, 52, 
##     49, 43, 44, 34, 37, 33, 34, 11, 16, 15, 3, 0, 1, 4, 2, 3, 
##     -6, -8, -8, -4, -1, 2, 1, 0, -2, -2, 0, 0, 1, 1, -2, 0, 1, 
##     -2, 0, -2, 0, 0, -2, -1, -3, -3, -1, -5, -6, -6, -7, -5, 
##     -3, -2, -5, -2, -3, -6, -8, -4, -5, -3, 0, 1, 7, 7, 7, 9, 
##     10, 11, 10, 10, 11, 4, 4, 0, 5, 2, 2, 1, 0, 0, 0, 1, 1, 3, 
##     14, 15, 14, 17, 21, 22, 13, 17, 22, 14, 15, 9, 5, -2, -1, 
##     1, 5, 7, 1, 0, 3, 4, 3, 11, 9, 0, 35, 20, 16, 18, 15, 18, 
##     15, 18, 19, 19, 21, 16, 15, 13, 12, 18, 15, 16, 18, 14, 19, 
##     5, -1, -5, 2, 7, 7, 9, 14, 17, 14, 5, 8, 2, 4, 15, 0, 10, 
##     36, 34, 19, 1, 12, 11, 19, 17, 13, 17, 16, 14, 22, 23, 23, 
##     17, 12, 13, 14, 19, 15, 14, 16, 17, 21, 19, 20, 21, 24, 13, 
##     -7, 4, 12, 8, 8, 11, 11, -2, 7, 5, 5, -1, 20, 19, 26, 5, 
##     1, 35, 18, 12, 22, 31, 34, 32, 18, 16, 11, 5, 4, 31, 20, 
##     29, 45, 44, 42, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
##     11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
##     11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
##     11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
##     11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
##     11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
##     11, 11, 11, 11, 0, -12, -12, -12, -12, -12, -12, -12, -15, 
##     -21, -21, -21, -20, -24, -24, -24, -24, -22, -28, -28, -22, 
##     -42, -54, -49, -43, -48, -49, -50, -54, -57, -53, -52, -51, 
##     -48, -48, -46, -43, -40, -36, -33, -30, -11, -8, -17, -19, 
##     -10, -15, -2, -3, 1, 4, -3, 9, 13, 15, 16, 15, 13, 15, 18, 
##     17, 18, 19, 14, 15, 14, 16, 9, 6, 2, 1, 0, 0, -1, -1, -3, 
##     -5, -6, -3, -5, -7, -11, -12, -14, -24, -20, -25, -31, -37, 
##     -39, -38, -52, -32, -33, -51, -50, -49, -50, -51, -48, -48, 
##     -50, -49, -50, -47, -46, -46, -44, -46, -67, -60, -40, -21, 
##     -26, -27, -30, -28, -24, -14, -13, -1, -3, -6, 2, 9, 4, 2, 
##     15, 13, 5, 3, 6, 9, 13, 22, 30, 26, 19, 14, 13, 13, 9, -2, 
##     -7, -7, -8, -7, -6, -12, -19, -20, -19, -16, -25, -22, -42, 
##     -43, -47, -52, -50, -48, -57, -63, -63, -64, -68, -59, -58, 
##     -59, -61, -66, -56, -52, -53, -49, -44, -36, -32, -28, -28, 
##     -30, -20, -20, -20, -20, -20, -20, -20, -30, -9, -9, -17, 
##     -19, -8, 1, 1, -1, -2, 6, 2, 5, 6, 0, -6, 4, 7, 0, -5, -1, 
##     4, 7, 16, 15, 6, -1, -5, -4, -11, -13, -7, -32, -39, -46, 
##     -45, -42, -34, -26, -31, -62, -49, -51, -57, -45, -56, -54, 
##     -56, -63, -71, -77, -66, -60, -56, -55, -56, -60, -53, -29, 
##     -26, -22, -22, -17, -15, -10, -12, -12, -3, -6, -7, 4, -5, 
##     -7, -5, -6, 10, 12, 13, 17, 12, 7, 1, 5, 15, 28, 9, 4, 0, 
##     5, 11, 13, 11, 7, 3, 3, -2, -7, -17, -10, -4, -11, -17, 0, 
##     -10, -37, -35, -36, -32, -26, -53, -52, -41, -41, -75, -77, 
##     -78, -83, -85, -81, -64, -61, -60, -60, -57, -59, -64, -38, 
##     -24, -23, -28, -25, -23, -13, -5, -11, -9, -17, -26, -20, 
##     10, 10, 4, -3, -11, 2, 7, 15, 14, 12, 11, 10, 5, 0, -4, -3, 
##     -2, -3, -13, -9, -8, -5, -2, -10, -13, -8, -16, -22, -13, 
##     -37, -49, -49, -22, -42, -51, -59, -56, -53, -53, -6, 6, 
##     -2, -2, 3, 10, 5, -1, -2, 4, 6, 8, 5, 11, 13, 9, 12, 14, 
##     10, 8, 8, 5, 5, 6, 1, 8, -1, -4, 1, 3, 7, -3, -6, -9, -20, 
##     -32, -31, -35, -43, -33, -41, -43, -43, -49, -53, -54, -56, 
##     -59, -55, -55, -52, -52, -54, -52, -53, -48, -48, -42, -18, 
##     -15, -10, -7, -15, -14, 3, -7, -3, -3, 0, 14, 19, 20, 19, 
##     11, 5, 1, 12, 9, 1, -4, -7, -5, -4, 2, -5, -4, -4, -11, -18, 
##     -13, -17, -26, -33, -46, -38, -35, -48, -48, -50, -64, -72, 
##     -70, -52, -49, -46, -40, -39, -38, -33, -28, -29, -30, -37, 
##     -29, -22, -17, -19, -7, -8, -17, 8, 12, 16, 14, 7, 8, 10, 
##     8, 10, 15, 22, 22, 14, 10, 8, 10, 7, 8, 11, 11, 8, 4, 2, 
##     3, 7, 4, 3, 3, 4, 2, -2, -3, -4, -2, -6, -16, -21, -20, -36, 
##     -36, -34, -37, -63, -69, -64, -38, -39, -53, -48, -37, -52, 
##     -52, -54, -52, -39, -41, -42, -41, -42, -43, -41, -35, -37, 
##     -41, -28, -29, -33, -60, -57, -48, -50, -47, -45, -49, -50, 
##     -46, -48, -50, -35, -32, -27, -29, -41, -46, -33, -27, -22, 
##     -43, -51, -53, -42, -40, -39, -44, -48, -48, -44, -40, -42, 
##     -44, -43, -39, -40, -47, -43, -41, -38, -35, -35, -41, -39, 
##     -37, -37, -39, 4, 3, 4, 6, 6, 7, 6, 5, 4, 5, 4, -4, -4, 1, 
##     2, 4, 3, 3, 9, 11, 10, 17, 19, 11, 13, 13, 1, 12, 72, 71, 
##     71, 74, 74, 76, 75, 62, 60, 56, 46, 45, 42, 35, 33, 37, 30, 
##     28, 29, 25, 11, 6, 11, 5, 5, 14, 15, 18, 21, 22, 23, 29, 
##     36, 50, 61, 67, 79, 81, 80, 93, 74, 69, 67, 59, 56, 46, 47, 
##     43, 40, 31, 27, 19, 14, 20, 21, 11, 16, 12, 13, 17, 45, 42, 
##     39, 30, 22, 25, 22, 24, 13, 8, 9, 19, 27, 27, 20, 19, 26, 
##     31, 48, 55, 57, 66, 67, 72, 89, 88, 87, 85, 87, 90, 95, 87, 
##     76, 71, 68, 66, 64, 58, 55, 53, 51, 45, 40, 35, 34, 25, 26, 
##     26, 21, 11, 11, 19, 20, 18, 17, 19, 18, 22, 29, 26, 55, 64, 
##     64, 65, 69, 68, 73, 79, 84, 100, 85, 91, 108, 102, 84, 74, 
##     64, 68, 58, 55, 42, 42, 34, 35, 37, 33, 42, 31, 34, 31, 26, 
##     24, 6, 3, 9, 15, 27, 28, 28, 24, 29, 39, 47, 52, 55, 61, 
##     62, 56, 58, 62, 68, 86, 88, 88, 79, 77, 86, 75, 62, 61, 55, 
##     57, 53, 48, 46, 33, 27, 37, 39, 30, 20, 17, 14, 11, 21, 23, 
##     22, 26, 28, 30, 36, 38, 36, 45, 51, 63, 64, 70, 76, 78, 89, 
##     90, 83, 90, 78, 71, 67, 64, 56, 58, 64, 61, 58, 44, 41, 37, 
##     35, 34, 23, 19, 19, 29, 31, 35, 26, 25, 26, 32, 36, 36, 33, 
##     37, 44, 49, 68, 86, 92, 42, 43, 48, 49, 46, 53, 58, 70, 73, 
##     76, 77, 85, 87, 86, 81, 88, 92, 83, 64, 65, 58, 63, 67, 64, 
##     52, 49, 46, 42, 45, 42, 39, 33, 31, 32, 35, 34, 24, 12, 23, 
##     33, 27, 28, 25, 32, 37, 37, 43, 43, 47, 50, 61, 68, 72, 74, 
##     78, 79, 82, 90, 87, 93, 87, 85, 92, 74, 73, 66, 72, 73, 69, 
##     78, 64, 51, 54, 53, 50, 50, 42, 46, 51, 45, 38, 41, 44, 33, 
##     29, 27, 22, 20, 20, 20, 17, 17, 17, 17, 7, 7, 7, 7, 5, 4, 
##     8, 8, 8, 8, 8, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 6, 
##     14, 19, 17, 9, 8, 8, 6, 4, 6, 10, 10, 5, 6, 7, 7, 7, 5, 5, 
##     5, 5, 5, 4, 5, 5, 5, 5, 4, 6, 4, 4, 5, 6, 5, 6, 4, 4, 4, 
##     4, -140, -141, -140, -140, -140, -141, -140, -141, -139, 
##     -144, -140, -142, -140, -138, -138, -142, -142, -143, -140, 
##     -142, -140, -141, -139, -141, -141, -140, -138, -137, -134, 
##     -136, -142, -141, -141, -140, -139, -140, -142, -140, -151, 
##     -140, -137, -139, -136, -147, -148, -144, -138, -140, -144, 
##     -142, -142, -139, -141, -142, -144, -143, -145, -146, -144, 
##     -143, -144, -143, -144, -145, -143, -140, -142, -142, -144, 
##     -143, -143, -142, -142, -142, -142, -142, -142, -143, -144, 
##     -142, -142, -141, -141, -141, -142, -140, -140, -142, -142, 
##     -141, -141, -142, -144, -143, -145, -143, -143, -141, -142, 
##     -140, -140, -141, -145, -140, -143, -142, -153, -153, -142, 
##     -137, -151, -141, -143, -139, -138, -137, -141, -145, -145, 
##     -148, -149, -145, -141, -139, -140, -144, -146, -150, -144, 
##     -144, -143, -145, -144, -150, -151, -148, -143, -140, -141, 
##     -140, -137, -137, -157, -146, -118, -111, -126, -142, -131, 
##     -134, -140, -142, -142, -134, -109, -92, -72, -87, -101, 
##     -116, -132, -151, -152, -132, -112, -126, -100, -110, -123, 
##     -133, -196, -167, -121, -110, -114, -147, -153, -153, -134, 
##     -134, -118, -123, -105, -108, -102, -153, -161, -110, -104, 
##     -97, -120, -132, -144, -127, -113, -121, -89, -129, -135, 
##     -155, -166, -181, -159, -126, -109, -153, -142, -130, -126, 
##     -108, -96, -101, -113, -120, -129, -149, -152, -144, -118, 
##     -103, -81, -81, -105, -135, -147, -148, -149, -153, -153, 
##     -141, -127, -119, -126, -137, -127, -132, -139, -95, -112, 
##     -93, -142, -180, -222, -225, -161, -142, -122, -106, -98, 
##     -126, -153, -133, -135, -121, -111, -102, -104, -105, -117, 
##     -152, -158, -140, -135, -137, -104, -119, -124, -125, -131, 
##     -133, -141, -137, -137, -113, -84, -87, -110, -85, -114, 
##     -138, -133, -142, -126, -175, -173, -163, -106, -115, -131, 
##     -151, -149, -136, -138, -133, -113, -105, -105, -85, -131, 
##     -139, -134, -133, -126, -131, -139, -140, -100, -148, -133, 
##     -129, -141, -131, -124, -139, -145, -154, -151, -140, -131, 
##     -99, -91, -115, -111, -95, -123, -156, -181, -137, -106, 
##     -106, -132, -156, -132, -128, -123, -95, -97, -115, -118, 
##     -114, -118, -125, -135, -158, -104, -121, -133, -143, -140, 
##     -122, -137, -140, -134, -129, -106, -99, -118, -84, -103, 
##     -108, -124, -134, -123, -120, -115, -119, -112, -88, -129, 
##     -100, -130, -151, -133, -97, -126, -101, -95, -140, -154, 
##     -182, -162, -143, -130, -121, -128, -145, -136, -138, -130, 
##     -128, -127, -120, -89, -111, -109, -108, -114, -116, -112, 
##     -95, -106, -90, -104, -47, -46, -45, -46, -51, -51, -49, 
##     -44, -44, -48, -44, -52, -52, -45, -42, -42, -37, -44, -39, 
##     -39, -45, -44, -43, -42, -46, -41, -37, -35, -36, -38, -36, 
##     -32, -32, -33, -34, -32, -34, -36, -39, -38, -40, -42, -41, 
##     -42, -41, -41, -44, -40, -46, -43, -43, -41, -42, -45, -44, 
##     -42, -46, -44, -48, -46, -43, -43, -47, -49, -45, -45, -51, 
##     -47, -44, -46, -46, -48, -48, -45, -46, -49, -61, -66, -36, 
##     -35, -41, -44, -40, -45, -44, -42, -47, -46, -44, -39, -36, 
##     -35, -35, -33, -32, -35, -32, -30, -33, -34, -37, -41, -45, 
##     -44, -46, -39, -35, -40, -40, -40, -46, -43, -42, -54, -42, 
##     -47, -47, -48, -48, -50, -51, -55, -57, -51, -46, -46, -44, 
##     -47, -51, -44, -44, -55, -49, -41, -43, -37, -45, -44, -41, 
##     -41, -46, -46, -44, -44, -45, -44, -45, -35, -29, -24, -23, 
##     -28, -28, -37, -41, -44, -44, -44, -35, -37, -37, -38, -42, 
##     -47, -44, -51, -40, -47, -44, -45, -48, -46, -40, -43, -44, 
##     -45, -46, -49, -47, -44, -46, -46, -47, -51, -51, -49, -43, 
##     -45, -44, -41, -44, -44, -47, -31, -37, -42, -41, -39, -42, 
##     -33, -37, -37, -34, -32, -25, -24, -13, -17, -12, -14, -13, 
##     -13, -14, -14, -19, -21, -19, -25, -22, -32, -30, -31, -33, 
##     -36, -45, -42, -39, -51, -51, -52, -33, -38, -35, -32, -41, 
##     -46, -55, -49, -52, -45, -61, -62, -59, -56, -54, -54, -54, 
##     -48, -44, -44, -45, -38, -40, -44, -53, -56, -59, -57, -51, 
##     -48, -51, -49, -52, -50, -44, -36, -32, -30, -40, -37, -38, 
##     -36, -40, -42, -45, -46, -66, -65, -66, -57, -48, -61, -58, 
##     -57, -58, -58, -51, -58, -49, -50, -51, -53, -54, -57, -49, 
##     -47, -46, -51, -46, -48, -53, -60, -57, -51, -50, -47, -50, 
##     -56, -59, -60, -67, -65, -47, -40, -34, -28, -5, -3, -5, 
##     9, 32, 38, 62, 69, 71, 67, 78, -24, -25, -34, -42, -38, -51, 
##     -56, -62, -63, -59, -60, -64, -70, -61, -45, -39, -36, -28, 
##     -47, -48, -45, -47, -41, -31, -37, -43, -59, -57, -40, -58, 
##     -45, -48, -26, -14, -14, -6, 46, 47, 50, 74, 74, 69, 81, 
##     80, 81, 87, 92, 95, 94, 99, 95, 101, 94, 98, 60, 48, 24, 
##     16, 10, 7, -2, -16, -17, -28, -28, -21, -32, -32, -39, -44, 
##     -45, -46, -39, -63, -68, -57, -44, -46, -47, -52, -71, -71, 
##     -33, -37, -34, -52, -49, -46, -45, -44, -40, -34, -30, -48, 
##     -61, 57, 50, 53, 61, 60, 68, 62, 63, 53, 54, 55, 30, 7, 0, 
##     7, -10, -23, -41, -39, -39, -47, -53, -49, -43, -46, -52, 
##     -54, -47, -34, -36, -36, -12, 1, 12, 16, 48, 42, 50, 56, 
##     59, 133, 127, 126, 129, 127, 131, 130, 124, 118, 114, 104, 
##     64, 50, 45, 18, 16, 17, 7, 0, 2, 1, -9, -18, -16, -21, -27, 
##     -29, -43, -49, -49, -54, -57, -54, -50, -49, -57, -55, -50, 
##     -54, -55, -56, -54, -54, -56, -52, -49, -58, -72, -103, -130, 
##     -121, -114, -107, -68, -41, -57, -87, -79, -56, -42, -47, 
##     -41, -4, -1, 26, 29, 4, -6, 55, 16, -1, 10, 11, 28, 24, 5, 
##     7, 16, 18, -5, -29, 7, 48, 46, -15, -6, 16, 17, 22, 26, 22, 
##     12, 7, 7, 11, 9, 11, 8, -1, 2, 1, -16, -35, -37, -26, -24, 
##     -27, -40, -26, -16, -34, -44, -54, -33, -24, -8, -27, -47, 
##     -33, -36, -23, -19, 9, -4, -6, 18, -11, -2, 16, 20, 14, 17, 
##     21, 39, 32, 33, 44, 3, 19, 20, 21, 17, 21, 24, 7, 10, 22, 
##     19, 3, 3, 6, 5, 7, 3, -19, -32, -36, -27, -23, -23, -27, 
##     -30, -38, -50, -39, -26, -30, -43, -41, -39, -35, -51, -61, 
##     -51, -60, -3, -11, -28, -27, -29, 19, 12, -62, -69, -73, 
##     -72, -64, -49, -47, -54, -61, -51, -59, -75, -86, -76, -54, 
##     -48, -27, -28, -7, 50, 57, 8, -7, 6, 3, -24, -45, -51, -30, 
##     -3, -22, -25, -15, -18, -24, -37, -45, -50, -57, -57, -38, 
##     -26, -29, -18, -2, 8, -19, -11, 7, 18, 20, -13, -4, 13, 15, 
##     7, 15, 15, 16, 35, 38, 15, 2, -3, 11, 16, 14, 30, -11, 22, 
##     19, 20, -4, -6, -5, 4, 7, -2, -31, -31, -21, -14, -3, -27, 
##     -27, -20, -19, -26, -23, -9, -13, -21, -38, -18, -26, -57, 
##     -60, -23, 20, 7, 1, 0, 38, 82, 89, 53, -13, 1, -151, -88, 
##     -135, -114, -136, -183, -182, -148, -150, -132, -130, -135, 
##     -140, -137, -147, -146, -168, -134, -139, -141, -143, -145, 
##     -143, -140, -143, -148, -147, -142, -140, -151, -147, -137, 
##     -139, -140, -139, -143, -144, -143, -140, -143, -141, -141, 
##     -142, -143, -141, -143, -142, -141, -141, -141, -69, -85, 
##     -83, -63, -51, -60, -65, -58, -42, -37, -44, -54, -43, -44, 
##     -48, -47, -33, -13, 14, 6, -7, -144, -138, -179, -175, -166, 
##     -158, -110, -127, -139, -153, -161, -153, -143, -136, -133, 
##     -130, -111, -126, -119, -127, -131, -124, -130, -126, -101, 
##     -120, -120, -131, -131, -128, -133, -136, -135, -82, -101, 
##     -127, -140, -113, -109, -132, -139, -148, -150, -149, -147, 
##     -142, -118, -121, -131, -139, -140, -140, -138, -139, -109, 
##     -114, -91, -144, -77, -88, -114, -136, -148, -135, -139, 
##     -138, -155, -154, -155, -160, -141, -123, -143, -151, -125, 
##     -101, -98, -141, -141, -142, -143, -143, -140, -138, -141, 
##     -143, -141, -141, -142, -144, -145, -144, -142, -148, -143, 
##     -142, -142, -144, -143, -142, -143, -143, -144, -142, -142, 
##     -148, 8, 6, 4, 4, 2, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 5, 5, 5, 77, 87, 70, 64, 57, 58, 63, 35, 34, 34, 36, 
##     33, 30, 32, 24, 28, 30, 38, 31, 27, 28, 32, 35, 36, 19, 19, 
##     17, 26, 30, 28, 33, 33, 49, 51, 53, 57, 63, 64, 64, 73, 85, 
##     91, 92, 86, 92, 76, 71, 52, 51, 51, 5, -3, -11, -23, -17, 
##     -22, -25, -17, -34, -56, -41, -40, -56, -61, -35, -24, -15, 
##     -5, 7, -5, -25, -26, -6, 10, 7, -7, 33, 57, 44, 24, 22, 12, 
##     42, 26, 13, 12, 2, 14, 20, 19, 19, 15, 14, 29, 17, 8, 13, 
##     14, 9, 7, 6, -21, -19, 18, 33, 35, 4, 5, -6, 13, 19, 16, 
##     12, 5, 13, 8, -5, -12, -18, -47, -43, -52, -43, -63, -43, 
##     -33, -30, -33, -28, -21, -22, -43, -58, -32, 5, -41, -81, 
##     -63, -45, -27, -44, -48, -35, -70, -26, -11, -44, 21, 0, 
##     -17, 0, 16, 14, 27, 20, 22, 11, 19, 9, 6, 32, 31, 32, 34, 
##     38, 45, 20, 14, -16, -11, -17, -19, -19, -18, -1, -5, -2, 
##     -2, -2, 3, -1, 0, 4, 6, 7, 4, 12, 15, 27, 35, 32, 34, 46, 
##     45, 48, 49, 41, 43, 47, 61, 60, 59, 60, 56, 52, 55, 52, 51, 
##     52, 41, 40, 37, 42, 50, 42, 20, 17, 14, 6, 3, 5, -18, -10, 
##     -2, 1, -5, 3, -8, -3, -8, 32, 50, 64, 68, 83, 92, 88, 92, 
##     92, 90, 97, 100, 97, 89, 78, 66, 58, 27, 3, 10, 10, 3, 15, 
##     19, 14, -9, 4, -1, 3, 5, -3, 1, -1, -8, -4, -1, 1, 1, -1, 
##     7, 6, -8, -14, -20, -12, -7, 53, 46, 84, 82, 88, 78, 73, 
##     64, 43, 30, 17, 11, -63, -58, -49, -52, -55, -53, -53, -45, 
##     -42, -42, -41, -38, -40, -36), accel_dumbbell_y = c(47, 47, 
##     46, 48, 48, 48, 47, 46, 47, 48, 47, 47, 48, 48, 47, 48, 47, 
##     47, 47, 46, 48, 48, 48, 47, 47, 46, 46, 47, 47, 47, 45, 47, 
##     48, 48, 48, 47, 48, 49, 47, 47, 46, 47, 49, 48, 45, 48, 47, 
##     48, 47, 49, 47, 47, 49, 48, 51, 49, 48, 49, 48, 47, 47, 48, 
##     48, 47, 48, 47, 48, 47, 46, 48, 46, 48, 49, 47, 44, 46, 48, 
##     47, 48, 46, 47, 46, 46, 47, 46, 47, 46, 46, 43, 46, 46, 46, 
##     45, 46, 45, 44, 46, 48, 46, 45, 44, 45, 46, 45, 45, 45, 46, 
##     48, 46, 47, 45, 45, 44, 46, 47, 47, 48, 47, 47, 47, 47, 44, 
##     45, 42, 48, 47, 48, 46, 47, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 16, 
##     17, 23, 35, 35, 33, 40, 44, 44, 51, 56, 52, 59, 57, -23, 
##     -25, -39, -34, -36, -37, -28, -30, -30, -26, 1, -23, -44, 
##     -11, -3, -7, -37, -41, -38, -44, -54, -48, -45, -37, -29, 
##     -25, -22, -32, -34, -35, -29, -24, -33, -50, -43, -34, -35, 
##     -38, -32, -28, -24, -29, -31, -28, -30, -32, -32, -35, -27, 
##     -25, -32, -41, -23, -23, -30, -30, -34, -29, -31, -23, -30, 
##     -34, -34, -31, -28, -27, -25, -30, -26, -26, -28, -29, -31, 
##     -29, -28, -24, -24, -29, -29, -26, -23, -16, -23, -27, -34, 
##     -35, -37, -30, -34, -26, -21, -25, -31, -28, -30, -30, -29, 
##     -36, -36, -33, -29, -33, -31, -28, -32, -32, -33, -33, -29, 
##     -31, -27, -24, -25, -27, -28, -28, -30, -28, -30, -29, -31, 
##     -29, -28, -26, -22, -22, -26, -29, -28, -30, -29, -35, -23, 
##     -32, -28, -32, -21, -25, -26, -13, -20, -24, -27, -22, -26, 
##     -24, -26, -12, -3, -9, -6, -9, -2, -7, -13, -9, -8, -13, 
##     3, 0, -11, -19, -26, -32, -33, -27, -9, -25, -17, -19, -16, 
##     -25, -13, -14, -17, -1, -30, -5, -18, -41, -31, -31, -44, 
##     -34, -11, 10, 35, -42, -35, -25, -11, -11, -18, -14, -17, 
##     -10, -26, -31, -26, -22, -21, -25, -23, -23, -34, -38, -32, 
##     -21, -20, -17, -8, -18, -31, -9, -36, -35, -14, -17, -3, 
##     -1, -36, -34, 4, 8, 5, -13, -12, -12, -14, 8, 3, -17, -25, 
##     -22, -20, -8, -23, -20, -19, -19, -16, -14, -14, -2, -7, 
##     -7, -11, -21, -14, -4, -13, -15, -8, 3, 17, 9, 2, 5, 5, -1, 
##     -19, -15, -16, -24, -26, -27, -7, -9, -1, -14, -9, -12, -6, 
##     3, 0, -17, -21, -3, -11, -15, -7, -11, -3, -13, 0, 16, -5, 
##     8, -9, -16, -1, -20, -20, -23, -27, -16, -2, 1, -3, -12, 
##     -16, -9, -4, -4, -6, -10, -16, -18, -27, -11, -4, -11, -9, 
##     -5, -6, -4, 0, -11, -11, -16, -9, -11, -4, 2, 0, 7, 6, 1, 
##     -3, -11, -19, -25, -20, -23, -17, -16, -19, -10, -15, -10, 
##     -10, -29, -14, -13, -13, -14, -11, -15, -11, 1, -12, -2, 
##     -7, -4, -2, 2, 2, -9, 8, 14, 23, 17, 9, 6, -5, -20, -26, 
##     -23, -19, -4, -10, -1, 2, 21, 13, -2, -2, -18, -21, -18, 
##     1, 5, -5, -12, -10, -10, 3, 0, 0, 2, 10, 3, -3, -7, -2, -9, 
##     -4, -7, -3, -10, -1, -18, -20, -16, -6, -8, -14, 4, 8, 0, 
##     3, 3, 0, -6, -12, -7, -6, -19, -8, -21, -12, -22, -17, -9, 
##     7, -1, 9, -10, 0, 2, 9, 9, 1, 7, 6, 2, 4, 11, 10, 23, 11, 
##     10, 12, 14, -6, -6, -17, -18, -10, 2, -2, 4, -8, -2, 8, -10, 
##     9, 2, 7, 3, -14, 5, -13, -15, -11, -4, 2, 3, 11, 3, 5, 17, 
##     1, 1, -7, 16, 17, 9, 2, -6, -13, -7, 2, 10, 5, 1, 8, 15, 
##     6, -17, -10, 0, -4, 4, 17, 11, 8, 16, -14, -9, -12, -28, 
##     -11, -13, 5, 39, 18, -21, 5, -30, -19, 1, 18, -23, -19, -5, 
##     3, 11, 15, -9, -15, -22, -20, 2, 7, 8, 10, -5, 82, 81, 82, 
##     82, 84, 82, 81, 81, 85, 85, 86, 83, 82, 84, 87, 86, 82, 84, 
##     86, 85, 87, 88, 88, 88, 83, 81, 81, 83, 86, 81, 82, 83, 85, 
##     87, 87, 89, 88, 84, 84, 85, 86, 87, 89, 90, 71, 73, 84, 84, 
##     81, 95, 94, 92, 86, 81, 77, 76, 75, 75, 77, 77, 79, 80, 78, 
##     84, 85, 81, 88, 84, 81, 87, 86, 87, 84, 82, 86, 79, 79, 81, 
##     85, 89, 95, 92, 84, 79, 77, 78, 78, 77, 73, 75, 72, 74, 73, 
##     74, 72, 71, 72, 75, 71, 71, 71, 82, 76, 65, 66, 74, 74, 80, 
##     84, 84, 79, 76, 71, 73, 75, 75, 74, 73, 75, 74, 74, 72, 70, 
##     69, 74, 72, 70, 71, 72, 70, 68, 68, 70, 72, 69, 72, 68, 70, 
##     69, 68, 68, 65, 67, 67, 69, 68, 70, 68, 65, 67, 67, 66, 67, 
##     65, 65, 68, 63, 64, 63, 65, 69, 68, 63, 64, 70, 66, 58, 67, 
##     67, 63, 64, 65, 63, 61, 60, 63, 67, 61, 63, 73, 74, 67, 62, 
##     62, 67, 66, 65, 64, 69, 69, 72, 71, 57, 60, 72, 61, 55, 64, 
##     66, 67, 64, 65, 62, 61, 60, 59, 53, 55, 7, 5, 1, 2, 4, 2, 
##     9, -2, -2, -1, 1, 3, 2, 3, 3, -11, -11, -10, -16, 11, 7, 
##     0, -4, -1, 53, 62, 58, 62, 64, 60, 51, 60, 58, 57, 58, 59, 
##     58, 59, 62, 61, 57, 57, 60, 50, 67, 67, 65, 49, 54, 62, 65, 
##     61, 59, 52, 53, 53, 58, 58, 62, 63, 59, 64, 63, 61, 63, 60, 
##     75, 79, 81, 80, 82, 82, 84, 84, 85, 87, 85, 82, 80, 85, 85, 
##     84, 85, 85, 83, 84, 77, 73, 70, 69, 67, 67, 69, 71, 68, 64, 
##     65, 63, 65, 66, 68, 65, 64, 64, 65, 65, 63, 66, 65, 63, 65, 
##     69, 69, 65, 59, 58, 60, 66, 74, 82, 89, 80, 67, 66, 63, 67, 
##     68, 67, 63, 77, 90, 61, 66, 66, 65, 67, 66, 67, 68, 70, 67, 
##     66, 68, 65, 67, 74, 71, 68, 70, 72, 71, 73, 66, 64, 77, 76, 
##     75, 72, 61, 65, 65, 67, 76, 57, 66, 72, 71, 68, 57, 68, 65, 
##     65, 64, 64, 68, 67, 71, 75, 77, 79, 65, 68, 74, 75, 73, 75, 
##     75, 74, 73, 86, 88, 86, 83, 82, 79, 75, 70, 73, 82, 88, 88, 
##     84, 78, 77, 79, 80, 81, 77, 76, 78, 77, 76, 77, 78, 75, 75, 
##     75, 68, 68, 71, 73, 73, 66, 67, 73, 72, 74, 73, 67, 57, 55, 
##     61, 65, 67, 67, 78, 89, 101, 104, 105, 102, 100, 95, 97, 
##     98, 95, 85, 94, 97, 92, 94, 88, 76, 82, 95, 95, 113, 66, 
##     78, 77, 106, 95, 91, 93, 89, 85, 87, 91, 86, 86, 92, 82, 
##     84, 87, 84, 62, 65, 72, 74, 85, 104, 105, 97, 95, 95, 92, 
##     98, 92, 94, 99, 105, 110, 109, 120, 121, 116, 118, 121, 120, 
##     114, 121, 89, 88, 78, 85, 92, 90, 92, 95, 85, 87, 88, 84, 
##     81, 80, 100, 95, 98, 99, 94, 82, 79, 85, 93, 91, 90, 93, 
##     93, 95, 89, 95, 88, 83, 88, 92, 75, 71, 77, 97, 101, 89, 
##     91, 93, 89, 96, 94, 94, 93, 100, 97, 98, 92, 96, 104, 93, 
##     91, 94, 97, 100, 104, 105, 102, 103, 112, 111, 114, 115, 
##     112, 109, 118, 116, 114, 114, 113, 114, 85, 75, 96, 45, 90, 
##     84, 98, 75, 83, 91, 73, 67, 72, 96, 88, 83, 76, 80, 88, 79, 
##     82, 90, 97, 91, 78, 88, 82, 84, 87, 80, 77, 74, 64, 65, 74, 
##     79, 99, 94, 101, 104, 88, 83, 93, 96, 82, 91, 100, 88, 100, 
##     103, 100, 110, 103, 106, 108, 115, 111, 104, 99, 98, 100, 
##     91, 97, 96, 103, 89, 101, 90, 96, 87, 89, 96, 76, 70, 81, 
##     85, 101, 97, 90, 90, 88, 84, 100, 100, 90, 79, 72, 98, 98, 
##     91, 80, 85, 82, 85, 87, 80, 75, 82, 83, 80, 77, 68, 61, 58, 
##     82, 88, 87, 91, 90, 89, 96, 102, 106, 101, 96, 84, 88, 87, 
##     94, 98, 92, 92, 93, 90, 92, 99, 99, 95, 107, 102, 99, 105, 
##     105, 101, 100, 105, 97, 97, 92, 88, 88, 90, 102, 104, 105, 
##     97, 88, 90, 79, 88, 77, 71, 80, 61, 88, 78, 70, 99, 95, 82, 
##     83, 62, 58, 75, 79, 89, 80, 77, 72, 63, 62, 73, 76, 79, 82, 
##     81, 82, 81, 80, 79, 84, 87, 72, 85, 82, 64, 31, 60, 75, 76, 
##     88, 93, 90, 101, 99, 96, 100, 106, 87, 72, 90, 96, 100, 106, 
##     109, 113, 108, 103, 101, 111, 112, 114, 115, 112, 115, 117, 
##     119, 118, 117, 116, 101, 80, 75, 72, 79, 87, 80, 84, 65, 
##     59, 62, 83, 87, 90, 91, 96, 97, 92, 96, 87, 87, 90, 92, 98, 
##     101, 96, 105, 97, 108, 110, 94, 103, 101, 100, 106, 107, 
##     111, 118, 108, 109, 112, 117, 113, 109, 110, 112, 108, 109, 
##     103, 102, 105, 108, 97, 95, 100, 99, 92, 97, 100, 91, 95, 
##     99, 92, 88, 96, 95, 90, 82, 88, 72, 87, 89, 90, 95, 94, 90, 
##     84, 81, 80, 87, 81, 84, 96, 104, 76, 75, 70, 69, 73, 79, 
##     121, 121, 118, 118, 117, 117, 108, 109, 109, 105, 103, 108, 
##     106, 104, 112, 114, 117, 116, 104, 96, 100, 106, 94, 98, 
##     99, 91, 93, 97, 90, 97, 92, 99, 93, 83, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 18, 16, 27, 31, 30, 
##     24, 34, 32, 48, 34, 35, 32, 28, 26, 22, 18, 24, 16, 17, 20, 
##     3, -6, -3, 0, -10, -5, -12, -10, -18, -8, -13, -24, -29, 
##     -22, -28, -33, -33, -27, -26, -22, -27, -20, -23, -24, -29, 
##     -28, -16, -16, -15, -16, -19, -21, -35, -32, -17, -16, -16, 
##     -14, -14, -6, -9, 3, 2, 9, 7, 13, 17, 23, 25, 25, 28, 36, 
##     45, 43, 42, 49, 47, 49, 54, 60, 72, 70, 45, 44, 49, 44, 31, 
##     21, 26, 20, 3, 13, 12, 3, -13, -17, -1, 4, -15, -9, -12, 
##     -8, -22, -6, -11, -15, -21, -20, -26, -27, -25, -12, -13, 
##     -11, -8, -9, -13, -5, -13, -21, -21, -17, -19, -14, -13, 
##     -13, -14, -16, -16, -6, -9, -4, -2, -2, -3, 3, 6, 4, 2, 11, 
##     17, 28, 28, 45, 57, -17, -14, -18, -20, -15, -21, -18, -6, 
##     -18, -13, -3, -8, -8, -12, -19, -18, -20, -23, -23, -23, 
##     -20, -17, -18, -14, -9, -10, -12, -2, 2, -2, -1, 0, 6, 17, 
##     15, 21, 44, 49, 50, 46, 50, 56, 62, 56, 39, 52, 52, 45, 41, 
##     40, 36, 30, 32, 26, 19, 15, 16, -11, -12, -12, -12, -9, -14, 
##     -12, -9, -8, -11, -15, -21, -35, -27, -9, -23, -16, -13, 
##     -15, -12, -4, 4, 5, 24, 26, 28, 31, 32, 33, 36, 45, 44, 59, 
##     44, 39, 48, 36, 32, 29, 31, 21, 25, 15, -2, 18, 18, 6, 41, 
##     41, 49, 29, 25, 41, 45, 45, 39, 27, 19, 17, 6, 13, 18, 16, 
##     -1, 8, -8, 3, -4, -9, -16, -17, -15, -14, -16, -23, -27, 
##     -25, -30, -23, -20, -21, -17, -24, -25, -32, -34, -30, -27, 
##     -15, -11, -14, -20, -16, -12, -9, -6, -4, 8, 10, 8, 5, 3, 
##     4, 7, 14, 17, 13, 15, 31, 27, 35, 54, 50, 32, 35, 44, 50, 
##     38, 23, 20, 20, 15, 14, 6, 8, 16, 0, -2, 3, 0, -6, -1, -4, 
##     -4, -8, -14, -18, -17, -14, -9, -27, -30, -18, -18, -15, 
##     -14, -27, -27, -11, -23, -18, -23, -26, -32, -23, -18, -16, 
##     -20, -20, -6, 0, 1, 3, 10, 18, 17, 28, 32, 37, 21, 23, 35, 
##     36, 38, 50, 61, 61, 58, 50, 33, 36, 28, -28, -31, -32, -29, 
##     -28, -24, -25, -33, -20, -21, -11, -12, -26, -23, -28, -29, 
##     -23, -25, -21, -27, -29, -27, -24, -26, -28, -34, -35, -34, 
##     -35, -29, -30, -34, -29, -29, -32, -31, -30, -30, -28, -28, 
##     -30, -29, -28, -31, -29, -27, -30, -28, -29, -29, -29, -29, 
##     -27, -29, -28, -28, -30, -31, -31, -27, -24, -29, -30, -29, 
##     -27, -26, -28, -31, -31, -32, -30, -23, -21, -29, -30, -31, 
##     -33, -34, -33, -40, -43, -33, -34, -37, -34, -42, -34, -44, 
##     -37, -13, -34, -40, -3, 7, 20, 18, 12, 27, 34, 45, 51, 51, 
##     51, 51, 51, 61, 68, 64, 72, 83, 84, 84, 78, 75, 69, 65, 75, 
##     78, 77, 48, 39, 20, 21, 17, 6, -28, -25, -19, -21, -2, -2, 
##     -29, -52, -54, -18, -23, -24, -21, -18, -25, -29, -33, -33, 
##     -35, -28, -23, -23, -21, -27, -24, -21, -17, -2, 8, 19, 19, 
##     140, 138, 131, 135, 134, 130, 138, 136, 138, 135, 135, 133, 
##     137, 136, 132, 132, 132, 134, 136, 139, 136, 133, 135, 136, 
##     136, 136, 136, 135, 134, 135, 136, 138, 136, 137, 137, 138, 
##     139, 136, 137, 133, 133, 134, 134, 134, 135, 134, 136, 137, 
##     135, 141, 140, 136, 133, 134, 133, 135, 132, 135, 135, 135, 
##     134, 135, 136, 134, 135, 133, 131, 132, 132, 134, 132, 134, 
##     134, 135, 135, 133, 134, 136, 135, 132, 133, 135, 133, 132, 
##     133, 137, 134, 133, 134, 133, 134, 134, 135, 136, 139, 138, 
##     138, 133, 130, 130, 130, 130, 134, 135, 137, 137, 136, 136, 
##     132, 133, 134, 134, 129, 131, 136, 137, 135, 135, 131, 130, 
##     135, 133, 133, 133, 133, 133, 136, 132, 131, 131, 135, 132, 
##     137, 134, 136, 134, 135, 135, 134, 132, 133, 136, 135, 135, 
##     133, 132, 132, 135, 133, 133, 134, 137, 134, 134, 135, 133, 
##     133, 136, 136, 136, 134, 138, 138, 133, 134, 134, 133, 131, 
##     134, 136, 139, 139, 136, 131, 132, 131, 135, 138, 138, 130, 
##     132, 130, 135, 134, 132, 131, 135, 134, 139, 139, 130, 133, 
##     133, 137, 135, 135, 133, 133, 130, 134, 132, 130, 134, 137, 
##     139, 133, 131, 132, 140, 136, 137, 137, 134, 134, 135, 136, 
##     134, 135, 137, 139, 138, 140, 137, 136, 157, 150, 141, 134, 
##     149, 150, 162, 152, 172, 158, 147, 154, 141, 156, 159, 157, 
##     169, 168, 165, 161, 160, 160, 155, 156, 162, 188, 184, 181, 
##     161, 151, 152, 155, 158, 168, 158, 158, 156, 151, 153, 154, 
##     155, 159, 153, 146, 151, 152, 154, 161, 164, 160, 156, 154, 
##     158, 161, 160, 162, 159, 154, 154, 153, 154, 150, 151, 148, 
##     149, 152, 154, 151, 150, 149, 149, 151, 169, 138, 137, 138, 
##     158, 165, 151, 142, 142, 150, 156, 151, 148, 152, 154, 154, 
##     155, 155, 152, 158, 157, 153, 151, 152, 150, 158, 153, 154, 
##     154, 156, 151, 153, 155, 157, 152, 154, 151, 154, 152, 157, 
##     156, 153, 152, 156, 152, 153, 151, 167, 155, 152, 140, 147, 
##     157, 160, 157, 155, 146, 156, 58, 63, 65, 66, 62, 63, 57, 
##     57, 48, 47, 45, 43, 49, 45, 49, 41, 41, 44, 35, 27, 24, 28, 
##     27, 34, 33, 22, 27, 36, 45, 23, 26, 2, 22, 28, 33, 36, 37, 
##     39, 38, 41, 10, 31, 23, 20, 22, 24, 11, 18, 22, 0, -8, -13, 
##     4, 19, 13, 12, 25, 17, 13, 14, 12, 6, 14, 3, 2, 11, 9, 9, 
##     14, 16, 16, 16, 16, 16, 15, 20, 20, 29, 33, 38, 30, 31, 31, 
##     41, 42, 43, 43, 40, 38, 45, 45, 42, 38, 44, 32, 35, 24, 24, 
##     30, 19, 33, 29, 18, 34, 30, 24, 30, 33, 20, 21, 33, 22, 24, 
##     36, 59, 49, 2, 15, 25, 29, 26, 10, 5, 17, 9, 22, 22, 22, 
##     22, 13, 16, 28, 27, 29, 30, 22, 14, 10, 5, 3, 5, 2, 8, 30, 
##     27, 22, 17, 17, 12, 16, 12, 18, 40, 43, 36, 33, 21, 19, 26, 
##     19, 34, 29, 19, 19, 22, 23, 26, 29, 25, 21, 17, 9, 32, 36, 
##     30, 36, 20, 6, -14, 10, 12, 23, -2, 0, 15, 20, 24, 21, 12, 
##     8, 17, 17, 16, 12, 25, 23, 25, 27, 27, 24, 12, 7, 6, 3, 19, 
##     24, 24, 25, 25, 25, 18, 18, 7, 15, 44, 46, 43, 34, 31, 31, 
##     30, 28, 20, 29, 25, 22, 31, 26, 19, 20, 15, 19, 23, 10, 10, 
##     11, 13, 29, 18, 2, 3, 21, 26, -14, -16, -29, -37, 25, 29, 
##     6, 7, 16, 9, 7, 22, 17, 10, 10, 16, 23, 24, 27, 18, 7, 19, 
##     9, -3, -2, -1, 14, 10, 14, 14, 10, 14, 7, -5, -6, 19, 15, 
##     13, 11, 8, 10, 33, 20, 26, 21, 7, 20, 30, 12, 3, 2, 22, 18, 
##     -2, 37, 37, 47, 45, 26, 14, -3, -23, 26, 16, 14, -6, -1, 
##     22, 5, -9, -7, 5, 6, 7, 8, 16, 2, 1, 3, 1, 7, 5, 14, 3, 8, 
##     9, 6, 16, 19, -6, 7, 26, 16, 20, 13, 17, 22, 12, 26, 14, 
##     8, 22, 29, -3, 13, 13, 10, 8, 17, 20, 11, 16, 9, 21, -3, 
##     4, 27, 17, 7, 16, 21, 24, 11, 35, -3, 12, 10, 27, 36, 35, 
##     33, 29, 10, 5, 7, 10, 13, 18, 10, 15, 12, 18, 2, 16, 17, 
##     10, 7, 2, 15, 25, 5, 11, 13, 11, 9, 19, 10, 10, 2, 27, 9, 
##     10, 8, 3, 0, 26, 8, 13, 16, 23, 22, 4, -5, 4, 4, 5, -5, -3, 
##     3, 2, 13, 17, -13, -8, -17, -21, -3, 0, 0, 3, 4, 12, 37, 
##     36, -10, -9, -10, -23, 10, 13, 8, 14, -8, 8, 19, 12, 1, -6, 
##     -9, 9, -9, 7, 7, 13, 6, 11, 15, 6, -4, 1, -5, 9, 3, 15, 15, 
##     19, 24, 28, 18, 8, 0, 5, 11, 40, 37, 32, 14, 18, 15, 18, 
##     17, 18, 21, 18, 21, 9, 24, 33, 8, 3, 17, 15, 19, 24, 16, 
##     10, 35, 22, 11, -1, -12, 9, 24, 18, 9, 19, -10, 18, 8, 6, 
##     4, 3, -6, 17, 13, 14, 11, 25, 22, 25, 14, 14, 15, 13, 8, 
##     -2, 0, -11, -2, 7, 12, 7, 7, 7, 10, 10, 7, 15, 20, 16, 28, 
##     39, 39, 35, 28, 28, 27, 18, 21, 15, 13, 0, 44, 27, 2, 6, 
##     40, 33, -1, -5, -4, -9, 11, 18, 16, 4, 6, 11, -2, 3, 0, -5, 
##     0, 2, -3, 1, 9, 1, 10, 6, 6, 10, 4, 4, 4, 4, 5, 9, 8, 6, 
##     3, 6, 2, 8, 4, 1, 5, 7, 11, 4, 5, 5, 4, 6, 3, 6, 7, 5, 6, 
##     3, 6, 3, 1, 7, 6, 4, 5, 3, 4, 4, 4, 2, 8, 4, 1, 0, 4, 1, 
##     5, 3, 1, 1, 2, 5, 8, 166, 144, 146, 157, 159, 165, 147, 144, 
##     154, 161, 147, 144, 150, 156, 161, 166, 167, 163, 155, 149, 
##     142, 146, 154, 154, 141, 154, 166, 138, 143, 149, 156, 162, 
##     169, 164, 140, 136, 139, 151, 154, 161, 166, 163, 155, 146, 
##     150, 156, 157, 150, 153, 158, 157, 153, 150, 154, 154, 153, 
##     154, 152, 154, 151, 154, 155, 153, 154, 153, 155, 155, 151, 
##     153, 154, 155, 157, 155, 155, 154, 153, 155, 149, 155, 154, 
##     155, 154, 150, 161, 157, 148, 153, 156, 156, 155, 155, 150, 
##     148, 152, 153, 161, 161, 152, 141, 140, 143, 158, 161, 149, 
##     154, 154, 157, 154, 152, 151, 152, 154, 155, 154, 153, 156, 
##     156, 157, 151, 152, 152, 156, 155, 151, 154, 154, 153, 153, 
##     155, 154, 153, 155, 154, 152, 153, 151, 152, 154, 155, 154, 
##     152, 153, 154, 152, 152, 154, 152, 151, 152, 154, 154, 152, 
##     164, 157, 140, 154, 160, 152, 151, 152, 151, 148, 154, 149, 
##     150, 155, 163, 163, 153, 153, 156, 158, 153, 151, 160, 157, 
##     153, 145, 153, 145, 149, 159, 152, 151, 149, 140, 139, 158, 
##     163, 163, 156, 151, 148, 146, 147, 151, 157, 150, 148, 145, 
##     148, 162, 159, 153, 143, 140, 143, 153, 154, 148, 147, 157, 
##     154, 151, 154, 154, 154, 154, 153, 144, 141, 153, 165, 159, 
##     146, 146, 154, 153, 156, 151, 153, 153, 150, 152, 152, 151, 
##     149, 155, 157, 155, 152, 153, 159, 159, 156, 150, 137, 127, 
##     169, 152, 151, 152, 144, 161, 160, 157, 157, 153, 152, 154, 
##     155, 154, 153, 152, 155, 157, 156, 155, 150, 150, 151, 156, 
##     158, 156, 154, 155, 152, 155, 154, 148, 144, 148, 147, 147, 
##     143, 145, 151, 146, 150, 148, 151, 153, 157, 154, 151, 150, 
##     147, 150, 153, 144, 154, 151, 148, 152, 150, 151, 145, 150, 
##     155, 141, 143, 149, 149, 149, 149, 154, 152, 145, 136, 136, 
##     144, 158, 156, 149, 139, 108, 166, 144, 205, 202, 200, 198, 
##     195, 187, 173, 160, 168, 175, 174, 180, 186, 176, 177, 197, 
##     182, 186, 194, 207, 208, 195, 189, 191, 188, 195, 191, 191, 
##     187, 211, 186, 179, 174, 189, 145, 158, 194, 187, 169, 149, 
##     156, 156, 142, 140, 183, 201, 132, 127, 150, 170, 154, 149, 
##     138, 151, 162, 162, 156, 165, 169, 186, 186, 175, 177, 190, 
##     180, 189, 197, 186, 187, 181, 193, 206, 210, 195, 179, 185, 
##     193, 204, 208, 216, 216, 196, 190, 224, 157, 199, 181, 143, 
##     205, 216, 196, 142, 105, 228, 208, 175, 157, 165, 154, 150, 
##     156, 158, 167, 169, 184, 189, 189, 190, 195, 195, 189, 187, 
##     183, 183, 192, 201, 223, 210, 204, 210, 212, 212, 208, 196, 
##     205, 196, 215, 205, 202, 208, 192, 179, 137, 132, 166, 180, 
##     201, 179, 159, 146, 169, 197, 142, 164, 151, 136, 146, 131, 
##     135, 148, 161, 176, 188, 199, 201, 188, 189, 181, 190, 193, 
##     181, 184, 187, 188, 204, 203, 206, 214, 208, 206, 201, 203, 
##     205, 208, 206, 224, 197, 221, 207, 220, 180, 188, 148, 196, 
##     211, 210, 179, 146, 167, 166, 160, 100, 176, 157, 152, 156, 
##     161, 149, 183, 188, 186, 175, 188, 192, 164, 167, 172, 162, 
##     158, 177, 185, 200, 200, 177, 176, 177, 186, 189, 191, 188, 
##     202, 194, 180, 165, 181, 196, 136, 148, 150, 138, 170, 174, 
##     151, 147, 133, 177, 174, 172, 169, 160, 147, 142, 154, 170, 
##     173, 160, 153, 185, 185, 185, 179, 177, 183, 171, 173, 169, 
##     167, 171, 167, 181, 184, 193, 204, 201, 200, 178, 190, 179, 
##     199, 203, 190, 175, 184, 198, 164, 148, 183, 168, 151, 171, 
##     197, 201, 176, 157, 164, 166, 132, 114, 107, 130, 141, 144, 
##     148, 160, 179, 172, 148, 155, 149, 158, 147, 182, 179, 164, 
##     165, 174, 175, 172, 165, 174, 179, 183, 189, 180, 179, 181, 
##     182, 179, 190, 167, 155, 150, 157, 172, 154, 176, 146, 155, 
##     160, 148, 135, 115, 105, 119, 148, 138, 142, 153, 139, 151, 
##     140, 139, 142, 149, 127, 145, 135, 136, 142, 158, 161, 169, 
##     166, 163, 163, 163, 163, 151, 160, 157, 156, 180, 195, 197, 
##     190, 180, 174, 171, 173, 180, 183, 177, 172, 165, 177, 166, 
##     168, 163, 159, 136, 153, 161, 152, 150, 159, 160, 164, 121, 
##     110, 115, 105, 185, 183, 130, 129, 137, 152, 160, 166, 167, 
##     167, 173, 182, 173, 188, 189, 177, 177, 166, 172, 170, 170, 
##     188, 187, 184, 191, 188, 177, 180, 202, 182, 181, 178, 194, 
##     149, 178, 189, 189, 116, 160, 186, 161, 135, 148, 136, 139, 
##     146, 177, 172, 177, 185, 190, 198, 53, 52, 52, 52, 54, 55, 
##     56, 55, 52, 53, 50, 49, 49, 48, 48, 49, 50, 53, 52, 52, 53, 
##     52, 52, 51, 50, 49, 48, 55, 51, 52, 52, 51, 48, 49, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 97, 95, 91, 92, 98, 88, 101, 106, 114, 105, 118, 
##     111, 122, 113, 113, 86, 87, 88, 88, 84, 70, 81, 81, 80, 78, 
##     62, 71, 71, 83, 84, 79, 85, 87, 98, 96, 91, 93, 95, 91, 98, 
##     110, 99, 98, 97, 86, 94, 93, 93, 89, 81, 79, 85, 83, 78, 
##     88, 103, 81, 52, 109, 106, 109, 112, 102, 103, 107, 92, 90, 
##     89, 98, 93, 94, 96, 86, 99, 97, 81, 88, 87, 96, 120, 112, 
##     109, 121, 108, 106, 111, 103, 110, 111, 99, 104, 98, 98, 
##     89, 85, 84, 90, 87, 79, 90, 115, 95, 108, 112, 119, 122, 
##     125, 122, 126, 126, 124, 123, 113, 108, 106, 106, 109, 108, 
##     97, 55, 51, 56, 61, 65, 66, 64, 58, 65, 63, 53, 51, 58, 62, 
##     70, 73, 74, 77, 75, 78, 108, 103, 90, 92, 94, 103, 97, 92, 
##     94, 94, 92, 82, 83, 85, 67, 61, 59, 69, 64, -15, -13, -12, 
##     -14, -13, -15, -14, -16, -17, -15, -15, -19, -19, -21, -15, 
##     -16, -16, -16, -14, -17, -18, -20, -19, -16, -14, -16, -12, 
##     -15, -20, -22, -16, -8, -10, -12, -7, -16, -23, -24, -23, 
##     -23, -18, -19, -17, -12, -13, -16, -17, -20, -18, -19, -18, 
##     -18, -18, -13, -10, -11, -12, -11, -7, -7, -5, -6, -6, -5, 
##     -4, -3, -25, -27, -19, -13, -12, -11, -21, -27, -31, -35, 
##     -39, -45, -35, -31, -33, -35, -27, -39, -49, -50, -31, -10, 
##     -7, -23, -22, -45, -62, -53, -44, -36, -27, -24, -27, -50, 
##     -44, -36, -36, -37, -34, -30, -24, -24, -28, -31, -37, -36, 
##     -32, -34, -38, -42, -39, -30, -28, -29, -28, -30, -31, -27, 
##     -29, -29, -31, -31, -32, -32, -32, -33, -33, -32, -32, -31, 
##     -32, -31, -31, -30, -31, -32, -32, -32, -34, -40, -39, -38, 
##     -48, -48, -42, -30, -26, -24, 0, 0, -1, 0, 0, -5, -17, -24, 
##     -32, -40, -47, -49, -50, -52, -48, -50, -47, -46, -43, -41, 
##     -11, -19, -19, -13, -39, -32, -14, -10, -36, -63, -69, -51, 
##     -28, -5, 47, 12, 0, -34, -49, -36, -28, -34, -30, -14, -7, 
##     6, -5, -18, -15, -9, -11, -24, -23, -20, -1, -20, -20, -20, 
##     -16, -16, -16, -21, -17, -18, -16, -15, -16, -17, -19, -15, 
##     -16, -21, -22, -20, -20, -22, -24, -24, -24, -36, -41, -29, 
##     -19, -16, -37, -32, -29, -29, -23, -18, -30, -37, -39, -37, 
##     -41, -38, -35, -31, -17, -17, -18, -26, -26, -27, -23, -21, 
##     -18, -14, -9, -9, 1, 1, -8, -11, -18, -30, -20, -12, -15, 
##     -11, -3, -2, -6, -2, -27, -22, -16, -14, -20, -19, -13, -24, 
##     -25, -29, -26, -21, -7, -4, -3, -33, -22, -4, -7, -9, -31, 
##     -23, -19, -16, -22, -10, -6, -18, -33, -39, -33, -11, -12, 
##     -4, 0, 3, 4, 7, 6, -9, -16, -19, -18, -17, -13, -16, -9, 
##     -6, -2, -4, -5, -9, -11, -13, -33, -42, -27, -20, -6, -8, 
##     -16, -15, -13, -20, -22, -35, -7, 6, -3, -5, -9, -17, -8, 
##     -3, -12, -3, -5, 1, 1, -17, -4, -9, -4, -12, -19, -16, -17, 
##     -19, -32, -12, -8, -9, -8, -10, -39, -60, -19, -9, -20, -29, 
##     -33, -34, -23, -16, 5, -3, -8, -23, -21, -23, -15, -11, -4, 
##     -9, -10, -23, -24, -19, -10, -2, 0, -3, -5, -14, -13, -13, 
##     -13, -4, 3, -2, -3, -21, -23, 6, -12, -16, -11, 2, 3, 4, 
##     2, -6, -17, -16, -11, -10, -11, -10, -13, -8, -4, -17, 4, 
##     -5, -6, 0, 13, 13, 7, 3, -2, 1, -3, -7, -12, -9, -9, -4, 
##     12, 18, 3, 0, 3, 18, 14, 2, 4, -1, 7, -9, -1, 3, 4, -17, 
##     -14, -5, 5, -4, -8, 3, 3, -15, -17, -13, -6, -6, 1, 0, 4, 
##     6, 3, 6, 13, 8, 2, 0, -3, 0, 1, 2, 0, -11, -11, -7, 2, 9, 
##     1, -1, -16, -2, -6, 8, 4, -3, -3, 0, -8, -5, -6, -8, -1, 
##     5, 8, 5, 4, 5, 9, 4, 4, 7, 5, 8, 7, -1, 2, 3, 1, 7, 3, -8, 
##     5, 1, -1, 2, 3, -5, -11, -10, 22, -30, -37, -36, -26, -1, 
##     -1, -10, -7, 5, -8, -11, 25, 21, 10, -9, -5, -1, -3, -5, 
##     -10, -2, 0, 4, 4, -4, 4, 5, -1, -3, -3, -7, 4, -1, -3, 9, 
##     10, 8, 11, 11, 17, 8, 4, 8, 11, 13, 13, 5, 16, 22, -1, -7, 
##     -5, -7, -17, -4, 1, 14, 9, -1, -6, -11, -6, -4, 1, 4, -21, 
##     0, -17, -2, 15, 15, 4, 3, 6, 8, 14, 14, 9, 0, 0, -1, -6, 
##     0, -2, -3, -3, 0, 1, 2, 4, 2, 2, 8, 4, -2, -5, -5, -3, 4, 
##     3, 4, 7, 13, 20, 14, 20, 16, 10, 17, 16, 18, 17, 13, 11, 
##     6, -3, -3, -3, -3, 4, -11, -20, -14, -10, -17, -22, -22, 
##     -18, -15, -14, -19, -22, -19, -11, -16, -15, -8, -14, -22, 
##     -16, -25, -25, -7, -15, -18, -40, -47, -41, -28, -24, -31, 
##     -35, -38, -35, -27, -29, -16, 17, 12, -10, -5, 20, 13, 16, 
##     12, 9, 8, 11, 12, 9, 18, 15, 17, 15, 15, 8, 9, -2, 2, -3, 
##     -4, -1, 3, -1, -1, -13, -10, 9, 14, 4, 12, 22, 10, -3, 12, 
##     18, 14, 30, 23, -2, -8, 2, 7, 9, 11, 9, 8, -3, 83, 83, 91, 
##     91, 82, 96, 100, 93, 90, 90, 83, 85, 89, 87, 95, 92, 90, 
##     82, 91, 82, 87, 86, 82, 81, 75, 85, 88, 77, 87, 88, 86, 96, 
##     104, 108, 101, 100, 109, 99, 90, 103, 101, 100, 83, 83, 99, 
##     108, 116, 118, 113, 114, 121, 120, 114, 114, 124, 121, 114, 
##     120, 121, 120, 115, 105, 105, 100, 103, 94, 102, 98, 89, 
##     91, 101, 89, 85, 96, 92, 86, 91, 90, 93, 90, 77, 76, 89, 
##     80, 92, 87, 74, 69, 84, 89, 74, 66, 85, 82, 77, 101, 91, 
##     64, 88, 93, 86, 84, 87, 75, -26, -21, -16, -13, -8, -11, 
##     -15, -11, -19, -26, -14, -17, -16, -19, -17, -15, -6, -5, 
##     4, 7, 10, 8, 9, 10, 7, 9, 4, 13, 15, 10, 13, 14, 9, 11, 8, 
##     13, 9, 11, 13, 4, 5, 3, 5, 6, 7, 8, 11, -8, -5, 0, -1, -18, 
##     -24, -29, -37, -29, -23, -17, -14, -8, -3, -6, -6, -13, -2, 
##     -16, 2, -11, -5, -5, -10, -4, -15, -24, -15, -16, -15, -7, 
##     -7, -12, -11, -11, -21, -24, -38, -24, -18, -23, -1, -17, 
##     -24, -14, -26, -27, -20, -28, -23, -21, -31, -46, -48, -39, 
##     -43, -33, -37, -37, -38, -38, -41, -41, -37, -36, -19, -10, 
##     -14, -15, -20, -23, -25, -24, -20, -21, -17, -18, -18, -18, 
##     -19, -16, -19, -19, 153, 154, 153, 148, 149, 164, 145, 141, 
##     150, 155, 155, 145, 143, 143, 151, 158, 162, 160, 156, 153, 
##     154, 156, 158, 156, 168, 167, 165, 167, 159, 153, 154, 160, 
##     157, 161, 158, 158, 162, 157, 157, 157, 158, 158, 157, 164, 
##     145, 143, 148, 150, 151, 155, 159, 157, 32, 37, 36, 37, 31, 
##     29, 11, 3, 8, 0, -11, -16, -16, -20, -22, -33, -36, -38, 
##     -27, -20, -20, -18, -18, -10, -10, -5, -6, -7, 1, 12, 3, 
##     13, 25, 28, 18, 25, 33, 32, 39, -1, -13, -6, -18, -11, -23, 
##     -19, -13, -6, -15, -18, -34, -30, -23, -18, -19, -18, -12, 
##     -13, -13, -15, -14, 14, -1, -2, 1, -3, 1, -2, -5, -13, -12, 
##     -11, -18, -18, -9, -16, -13, -13, -12, -17, -17, -8, -19, 
##     -27, -21, -15, -12, -12, 44, 33, 43, 43, 41, 27, 27, 31, 
##     30, 23, 19, 13, 8, 14, 3, -8, 5, 13, 3, -2, -2, -3, -7, -17, 
##     -20, -3, -3, -3, -3, -3, -3, -3, -8, -10, -10, -10, -10, 
##     -10, -13, -13, -13, -5, -5, 0, 0, 0, 0, 0, 5, 5, 12, 54, 
##     53, 54, 53, 56, 53, 53, 238, 52, 53, 52, 52, 53, 51, 53, 
##     54, 51, 52, 52, 54, 52, 52, 51, 51, 50, 50, 49, 52, 52, 52, 
##     50, 50, 51, 52, 50, 50, 52, 53, 52, 52, 51, 53, 53, 53, 51, 
##     52, 52, 52, 50, 50, 50, 52, 51, 50, 53, 51, 52, 49, 48, 51, 
##     52, 53, 54, 53, 51, 53, 51, 52, 51, 52, 50, 51, 15, -8, -2, 
##     12, 18, 9, 7, 1, 7, 4, 4, 1, -1, -2, 3, -3, -10, -15, -13, 
##     1, 0, 0, 0, -2, -9, -10, 2, -9, 3, 21, 26, 24, -12, -17, 
##     3, 1, 6, 4, 3, 5, 10, 2, 4, 39, 33, -4, -12, 3, 14, 8, -2, 
##     2, 2, -2, -3, 0, -1, -1, 2, 3, 4, -10, -2, 7, 5, 0, -1, -22, 
##     -2, -12, 0, 2, 12, -17, -19, -19, 5, -17, -20, 6, 2, -5, 
##     -1, 5, 3, -5, -13, -22, -10, -17, -18, -17, -20, -23, -23, 
##     -8, -11, -19, -20, -1, -18, -25, -6, -15, -13, -18, -8, -10, 
##     -15, -14, -29, -24, 13, 6, 24, 14, 17, 22, 1, 14, -5, 30, 
##     21, 44, 32, 5, -2, 7, 24, 32, 15, 0, 12, 29, 17, 1, -7, 10, 
##     4, 2, 2, 4, 12, -7, -8, 3, 1, 3, 1, -6, -10, -6, -15, -9, 
##     -2, 0, 5, 1, -3, 5, 1, -4, -3, -24, -8, 9, 17, 16, 9, 11, 
##     -19, -20, -28, -33, -21, 21, -22, -18, 9, 19, 14, 6, 3, -5, 
##     -2, -9, 2, 1, -6, 2, -4, -10, 2, 10, 6, -4, -25, -20, -22, 
##     -22, -10, -20, -14, -22, -18, -19, -13, -13, -9, -9, -7, 
##     -12, -12, -13, -14, -16, -10, -11, -15, -10, -12, -15, -21, 
##     -16, -13, -12, -72, -65, -75, -86, -86, -90, -60, -63, -77, 
##     -69, -65, -72, -88, -90, -118, -108, -107, -72, -64, -55, 
##     -30, -75, -108, -70, -36, -58, -85, -66, -13, -24, -3, -27, 
##     -48, -16, 10, 25, 28, 3, -11, -19, -32, -11, -12, -7, -9, 
##     -12, -8, -3, -44, -58, -66, -64, -59, -57, -58, -56, -60, 
##     -75, -66, -60, -82, -87, -79, -76, -64, -91, -98, -100, -97, 
##     -82, -69, -80, -54, -69, -74, -55, -63, -45, -46, -10, -28, 
##     -57, -54, -28, -44, -65, 10, 8, -18, -22, -17, -15, -7, -15, 
##     -27, -22, -47, -41, -44, -65, -74, -72, -102, -96, -82, -75, 
##     -95, -108, -88, -95, -86, -100, -93, -113, -112, -102, -118, 
##     -69, -71, -77, -77, -118, -126, -128, -126, -132, -106, -81, 
##     -94, -101, -92, -43, -67, -20, -31, -68, -66, -63, -2, -11, 
##     -17, -24, -32, -17, -22, -16, -24, -24, -30, -2, -11, -47, 
##     -61, -77, -71, -83, -82, -73, -85, -90, -91, -103, -112, 
##     -117, -116, -121, -122, -98, -111, -24, -27, -40, 1, -10, 
##     -14, -8, -17, -8, -17, -23, -31, -59, -74, -78, -83, -84, 
##     -109, -100, -92, -110, -93, -79, -101, -108, -116, -110, 
##     -115, -47, -94, -125, -128, -137, -116, -109, -86, -59, -55, 
##     -50, -6, -75, -64, -31, -9, -56, -78, -46, -8, 67, 78, -27, 
##     -37, -31, -3, -7, -17, -10, -1, -3, -8, 9, 7, 12, -2, -27, 
##     -37, -41, -54, -60, -71, -101, -97, -89, -90, -113, -90, 
##     -103, -111, -117, -113, -88, -94, -93, -100, -106, -111, 
##     -104, -100, -120, -101, -95, -134, -54, -41, -11, -60, -56, 
##     -29, 13, -36, -26, -14, -15, -120, -133, -135, -134, -93, 
##     -98, -91, -61, -92, -112, -102, -81, -85, -35, -55, -50, 
##     -83, -9, 2, 8, 0, -21, -28, -19, -17, 0, 1, 2, -2, 1, -2, 
##     -7, -11, 0, -23, -32, -20, -66, -87, -114, -121, -93, -110, 
##     -109, -107, -102, -100, -124, -94, -104, -107, -77, -77, 
##     -133, -124, -152, -150, -149, -132, -134, -114, -104, -78, 
##     -67, -92, -99, -82, -61, -65, -57, -38, -60, -72, -58, -26, 
##     2, -20, -36, -40, -33, -17, -30, -13, -2, -2, -2, 6, 27, 
##     43, 40, 41, 30, 33, 55, 52, 50, 54, 72, 78, 80, 65, 74, 72, 
##     33, 29, 33, 36, 40, 50, 60, 50, 56, 60, 62, 66, 67, 69, 76, 
##     69, 76, 81, 90, 82, 77, 76, 78, 90, 86, 82, 83, 76, 73, 69, 
##     75, 72, 65, 57, 56, 66, 61, 59, 54, 48, 38, 21, 26, 23, 31, 
##     13, -7, -8, -3, -26, -35, -45, -36, -25, -32, -17, -15, -30, 
##     -31, -21, -17, -31, -29, -34, -31, -26, -38, -24, -23, -31, 
##     -35, -13, -1, 10, 12, 31, 52, 60, 50, 53, 56, 52, 63, 63, 
##     62, 69, 65, 65, 70, 77, 85, 88, 90, 104, 101, 98, 67, 74, 
##     72, 70, 73, 77, 79, 76, 81, 81, 78, -31, -39, -31, -27, -27, 
##     -23, 4, 9, 15, 26, 29, 24, 33, 39, 39, 46, 55, 48, 30, 44, 
##     61, 61, 69, 77, 70, 69, 79, 79, 83, 82, 82, 74, 77, 78, 74, 
##     73, 70, 76, 72, 80, 81, 78, 78, 80, 73, 69, 63, 65, 69, 64, 
##     55, 29, 33, 23, 21, 18, 18, 16, 27, 28, 9, -7, -7, -7, -7, 
##     -10, -7, -45, -34, -44, -41, -32, -31, -37, -36, -32, -35, 
##     -33, -32, -49, -42, -37, -33, -23, -22, -13, 75, 86, 85, 
##     83, 79, 81, 81, 85, 81, 79, 81, 86, 73, 68, 47, 53, 48, 37, 
##     42, 24, 21, 10, 0, -26, -27, -30, -26, -41, -47, -37, -39, 
##     -45, -37, -36, -39, -40, -41, -41, -44, -34, -34, -22, -23, 
##     -18, -5, 16, 18, 26, 34, 54, 54, 36, 48, 54, 56, 60, 60, 
##     65, 71, 75, 76, 71, 63, 64, 65, 73, 77, 73, 78, 73, 67, 73, 
##     73, 77, 51, 28, 29, 26, 16, -14, -4, -15, -40, -32, -43, 
##     -46, -44, -39, -42, -35, -39, -35, -36, -38, -40, -28, -36, 
##     -35, -28, -8, 1, 12, 28, 34, 41, 39, 41, 45, 51, 39, 45, 
##     46, 73, 64, 71, 84, 80, 90, 94, 87, 81, 75, 70, 64, 67, 68, 
##     38, 44, 47, 51, 38, 31, 24, 17, 5, 0, 1, 1, -11, -14, -20, 
##     -28, -61, -23, -18, -29, -43, -35, -26, -33, -27, -34, -37, 
##     -58, -58, -25, -21, -34, -30, -2, 14, 27, 43, 45, 45, 50, 
##     57, 52, 43, 35, 24, 12, 24, 21, 10, 10, 10, 2, 2, 2, 2, 0, 
##     0, 1, -12, -29, -26, -37, -48, -42, -42, -37, -39, -47, -41, 
##     -39, -47, -28, -35, -26, -5, 5, 4, 14, 20, 22, 31, 52, 49, 
##     49, 46, 49, 58, 61, 63, 73, 83, 78, 76, 66, 72, 77, 77, 67, 
##     65, 66, 79, 68, 66, 75, 52, 40, 39, 34, 47, 34, 24, 13, 1, 
##     -9, 3, 3, 4, 0, 1, -1, 4, -15, -8, 1, 0, -2, 2, 18, 12, 32, 
##     81, 71, 65, 59, 59, 88, 82, 82, 81, 89, 91, 91, 90, 82, 89, 
##     89, 108, 108, 138, 142, 140, 139, 131, 123, 109, 99, 110, 
##     123, 125, 121, 121, 115, 92, 92, 74, 47, 31, 28, 3, -2, 11, 
##     6, -20, -26, -9, 4, -32, -30, -27, -9, -6, -40, 7, -22, -38, 
##     -35, 42, 58, 69, 72, 74, 64, 63, 71, 92, 88, 92, 104, 111, 
##     111, 125, 141, 145, 136, 131, 143, 133, 134, 131, 127, 130, 
##     118, 119, 119, 124, 110, 108, 98, 83, 78, 55, 41, 31, 26, 
##     14, 10, -9, -1, 164, 146, 131, 135, 134, 135, 127, 146, 153, 
##     135, 138, 140, 143, 149, 134, 145, 151, 134, 116, 120, 104, 
##     107, 28, 29, 27, 17, 22, 3, 0, -14, -20, -24, -14, -10, 2, 
##     -17, -9, -6, -8, -4, -18, 4, 14, 22, 29, 59, 62, 115, 119, 
##     114, 93, 91, 69, 64, 54, 40, 34, 23, 23, 11, -8, -18, -15, 
##     -15, -24, -21, -28, -29, -18, -26, -22, -28, -32, -40, -41, 
##     -43, -39, -29, -23, -23, -23, -31, -29, -18, 2, 37, 53, 73, 
##     70, 77, 78, 77, 95, 122, 139, 138, 148, 146, 151, 158, 173, 
##     144, 128, 115, 138, 157, 160, 138, 129, 115, 127, 123, 110, 
##     110, 115, 104, 64, 52, 37, 116, 127, 129, 125, 121, 98, 69, 
##     70, 60, 46, 36, 41, 21, 19, 4, 4, -1, 1, -8, -4, -17, -21, 
##     -27, -38, -48, -47, 132, 82, 92, 106, 112, 109, 121, 123, 
##     103, 84, 97, 96, 87, 74, 65, 84, 33, 21, 8, -2, -13, -21, 
##     -15, -20, -35, -26, -34, -40, -34, -33, -42, -51, -59, -60, 
##     -59, -64, -55, -53, -38, -27, 16, 24, 32, 42, 44, 53, 71, 
##     62, 75, 70, 6, 5, -42, -41, -61, -55, -42, -65, -85, -89, 
##     -88, -95, -94, -72, -68, -57, -34, -15, -3, 46, 45, 37, 55, 
##     58, 53, 92, 111, 128, 139, 141, 143, 145, 148, 135, 122, 
##     114, 114, 107, 131, 120, 105, 95, 91, 108, 46, -5, -3, -19, 
##     -24, -33, -37, -38, -57, -62, -56, -53, -51, -48, 147, 149, 
##     129, 131, 126, 127, 126, 127, 131, 131, 120, 125, 117, 112, 
##     130, 98, 99, 103, 92, 78, 84, 83, 75, 90, 71, 55, 46, 34, 
##     22, 23, 22, 18, 24, 23, 23, 23, 20, 25, 23, 24, 22, 24, 18, 
##     22, 17, 19, 27, 27, 21, 27, 25, 22, 29, 24, 25, 24, 28, 25, 
##     26, 26, 32, 28, 22, 31, 25, 28, 27, 30, 27, 23, 21, 20, 25, 
##     19, 19, 24, 22, 25, 29, 19, 15, 18, 20, 20, 18, 29, 15, 23, 
##     19, 19, 14, 10, 10, 23, 19, 25, 18, 26, 24, 18, 17, 18, 11, 
##     10, -6, -18, -13, 193, 184, 179, 169, 175, 165, 177, 208, 
##     227, 203, 202, 205, 200, 192, 199, 198, 198, 197, 188, 186, 
##     189, 188, 187, 181, 194, 196, 196, 206, 203, 193, 192, 195, 
##     183, 167, 162, 179, 193, 177, 174, 154, 160, 162, 157, 152, 
##     151, 157, 156, 155, 158, 156, 151, 162, 159, 150, 151, 154, 
##     154, 156, 153, 152, 153, 156, 153, 149, 158, 154, 153, 153, 
##     163, 155, 143, 128, 140, 175, 197, 166, 217, 211, 265, 261, 
##     257, 261, 257, 247, 225, 189, 315, 247, 274, 282, 274, 255, 
##     266, 264, 266, 277, 282, 267, 249, 247, 243, 225, 247, 265, 
##     268, 261, 231, 226, 247, 274, 272, 287, 268, 250, 236, 231, 
##     240, 260, 299, 282, 277, 249, 251, 254, 212, 233, 195, 188, 
##     169, 153, 162, 180, 164, 144, 141, 143, 154, 163, 173, 178, 
##     194, 203, 275, 261, 238, 242, 225, 230, 247, 227, 266, 270, 
##     273, 278, 286, 267, 281, 274, 252, 236, 238, 266, 259, 251, 
##     247, 235, 232, 202, 199, 206, 187, 142, 117, 128, 147, 134, 
##     143, 142, 135, 140, 135, 131, 132, 180, 184, 237, 249, 223, 
##     219, 220, 232, 247, 248, 245, 245, 264, 272, 261, 251, 244, 
##     237, 243, 243, 256, 248, 252, 242, 230, 194, 184, 180, 179, 
##     149, 108, 160, 175, 235, 226, 206, 226, 229, 222, 195, 191, 
##     171, 165, 174, 154, 157, 172, 147, 132, 158, 173, 216, 240, 
##     269, 259, 257, 262, 252, 219, 228, 228, 244, 272, 283, 228, 
##     239, 245, 251, 278, 273, 234, 237, 182, 169, 156, 151, 155, 
##     154, 159, 176, 167, 137, 142, 138, 156, 176, 193, 206, 202, 
##     220, 257, 272, 257, 234, 231, 220, 213, 204, 197, 239, 277, 
##     281, 272, 236, 237, 245, 261, 284, 256, 240, 260, 260, 225, 
##     206, 218, 185, 151, 128, 154, 185, 190, 211, 136, 153, 173, 
##     183, 165, 164, 130, 186, 183, 197, 208, 254, 272, 294, 276, 
##     248, 184, 194, 201, 222, 260, 260, 291, 281, 149, 162, 167, 
##     185, 228, 259, 270, 282, 250, 258, 242, 197, 188, 186, 258, 
##     287, 299, 302, 310, 300, 299, 255, 236, 247, 252, 253, 265, 
##     233, 280, 257, 255, 70, 69, 65, 68, 66, 70, 66, 68, 65, 68, 
##     78, 86, 94, 92, 103, 123, 144, 160, 146, 212, 207, 192, 187, 
##     182, 182, 181, 177, 191, 182, 150, 150, 145, 141, 138, 130, 
##     124, 109, 100, 93, 111, 84, 91, 81, 75, 74, 83, 78, 71, 82, 
##     76, 63, 62, 70, 79, 82, 107, 111, 131, 144, 146, 151, 152, 
##     153, 159, 160, 153, 159, 172, 183, 202, 195, 188, 219, 212, 
##     220, 220, 224, 225, 227, 226, 225, 225, 230, 221, 216, 195, 
##     195, 191, 189, 183, 186, 190, 203, 153, 154, 150, 152, 149, 
##     144, 145, 140, 131, 129, 137, 108, 107, 105, 105, 109, 92, 
##     94, 94, 92, 88, 83, 85, 83, 75, 72, 85, 85, 95, 110, 124, 
##     127, 140, 141, 139, 138, 143, 152, 169, 162, 174, 182, 180, 
##     204, 201, 196, 200, 223, 214, 230, 232, 146, 138, 140, 137, 
##     130, 119, 115, 118, 124, 113, 99, 108, 101, 91, 101, 121, 
##     76, 62, 59, 67, 70, 74, 89, 79, 71, 74, 79, 220, 225, 231, 
##     233, 235, 229, 226, 220, 214, 197, 190, 197, 195, 191, 189, 
##     186, 199, 176, 167, 159, 151, 143, 140, 130, 119, 115, 122, 
##     119, 108, 102, 98, 94, 87, 91, 92, 78, 89, 89, 101, 103, 
##     99, 92, 80, 69, 70, 74, 84, 83, 80, 86, 82, 70, 55, 69, 71, 
##     71, 74, 77, 89, 94, 94, 96, 106, 108, 115, 129, 139, 137, 
##     126, 119, 157, 176, 174, 173, 175, 181, 187, 187, 194, 197, 
##     196, 195, 208, 213, 216, 218, 221, 219, 224, 224, 226, 222, 
##     220, 219, 90, 101, 90, 90, 91, 84, 88, 88, 79, 87, 75, 67, 
##     76, 84, 76, 75, 79, 86, 90, 88, 117, 124, 138, 144, 138, 
##     150, 159, 153, 173, 193, 189, 211, 210, 211, 217, 217, 218, 
##     121, 109, 111, 106, 102, 99, 89, 81, 89, 97, 109, 110, 112, 
##     105, 90, 74, 77, 88, 84, 85, 89, 93, 88, 80, 73, 85, 89, 
##     82, 84, 85, 85, 83, 91, 101, 106, 106, 117, 136, 140, 144, 
##     153, 152, 152, 151, 149, 164, 162, 186, 184, 182, 196, 200, 
##     205, 205, 214, 213, 216, 212, 215, 204, 210, 212, 210, 209, 
##     203, 200, 197, 193, 191, 161, 153, 157, 155, 154, 155, 154, 
##     121, 110, 108, 111, 104, 98, 97, 99, 92, 85, 78, 90, 87, 
##     85, 85, 86, 82, 60, 71, 76, 75, 67, 70, 70, 73, 68, 71, 77, 
##     74, 61, 50, 51, 67, 66, 63, 66, 76, 85, 91, 91, 102, 120, 
##     122, 125, 124, 123, 105, 118, 129, 141, 151, 155, 151, 150, 
##     154, 187, 198, 196, 194, 200, 214, 213, 208, 209, 212, 214, 
##     217, 218, 221, 220, 220, 222, 215, 217, 217, 207, 199, 199, 
##     196, 191, 185, 187, 185, 177, 167, 184, 178, 158, 162, 158, 
##     143, 131, 123, 124, 115, 108, 107, 107, 95, 94, 104, 81, 
##     93, 86, 81, 82, 83, 83, 78, 78, 69, 67, 66, 68, 61, 91, 90, 
##     82, 73, 66, 70, 85, 92, 92, 90, 101, 122, 121, 120, 119, 
##     120, 128, 148, 142, 218, 219, 216, 215, 219, 214, 212, 207, 
##     204, 191, 186, 185, 177, 175, 173, 171, 170, 156, 150, 146, 
##     137, 130, 120, 124, 129, 219, 220, 202, 205, 177, 176, 167, 
##     177, 195, 180, 124, 132, 129, 124, 115, 110, 101, 106, 70, 
##     70, 68, 74, 84, 87, 83, 109, 126, 134, 155, 165, 162, 156, 
##     156, 163, 167, 166, 163, 175, 186, 194, 204, 203, 187, 193, 
##     206, 210, 200, 193, 204, 219, 238, 225, 225, 232, 225, 223, 
##     210, 196, 194, 195, 184, 184, 186, 198, 209, 154, 151, 144, 
##     173, 176, 170, 168, 187, 201, 213, 225, 222, 219, 223, 225, 
##     232, 230, 229, 232, 232, 233, 231, 230, 228, 221, 211, 114, 
##     105, 106, 110, 110, 100, 93, 91, 95, 97, 96, 97, 101, 102, 
##     110, 104, 98, 94, 82, 86, 78, 78, 87, 91, 96, 102, 93, 93, 
##     100, 92, 77, 95, 112, 97, 87, 93, 107, 103, 98, 105, 115, 
##     114, 109, 107, 115, 116, 124, 124, -8, -12, 2, 15, 5, 11, 
##     4, 6, 11, 17, 20, 21, -10, 1, 10, 5, 8, 1, 3, 1, 7, 18, 34, 
##     30, 24, 22, 25, 22, 20, 14, 23, 27, 15, 14, 13, 16, 7, 8, 
##     19, 1, 12, 1, 0, 8, -4, 1, 10, 13, 16, 10, 7, 9, -14, -3, 
##     3, 24, 15, 9, -1, -10, -19, -21, 5, 7, 5, 0, 2, -1, -2, -2, 
##     -1, -2, -3, -3, -2, -6, -6, -5, 1, -21, -24, -43, 10, 16, 
##     26, 21, 12, 7, 5, 9, 12, 18, 19, 21, 35, 40, 48, 51, 54, 
##     66, 76, 87, 83, 103, 108, 108, 114, 120, 137, 131, 136, 144, 
##     152, 133, 146, 158, 155, 154, 140, 131, 134, 125, 129, 125, 
##     134, 121, 108, 92, 91, 92, 83, 89, 79, 77, 56, 47, 49, 41, 
##     34, 39, 21, 23, 25, 13, 2, 14, 27, -5, 13, 6, 11, 10, 9, 
##     9, 14, 13, 22, 27, 26, 27, 31, 27, 24, 22, 30, 54, 60, 71, 
##     59, 54, 58, 92, 101, 101, 109, 109, 106, 109, 114, 113, 113, 
##     118, 126, 130, 135, 144, 149, 149, 153, 156, 155, 54, 53, 
##     54, 76, 75, 80, 34, 28, 22, 49, 48, 49, 49, 48, 47, 41, 22, 
##     14, 33, 43, 33, 25, 21, 46, 35, 122, 127, 133, 130, 134, 
##     113, 115, 144, 141, 124, 104, 136, 138, 122, 103, 97, 96, 
##     96, 97, 90, 74, 73, 77, 74, 76, 64, 62, 54, 52, 64, 58, 53, 
##     56, 51, 12, 29, 44, 42, 12, 6, 37, 23, 12, 14, 26, 19, 25, 
##     27, 28, 23, 34, 48, 44, 67, 61, 63, 77, 87, 90, 91, 72, 68, 
##     76, 86, 100, 107, 114, 120, 117, 117, 119, 118, 122, 126, 
##     130, 131, 125, 121, 122, 120, 117, 113, 113, 113, 111, 108, 
##     112, 112, 113, 111, 105, 80, 83, 77, 89, 77, 71, 69, 68, 
##     69, 64, 62, 34, 24, 19, 26, 34, 42, 50, 54, 54, 28, 26, 29, 
##     33, 36, 33, 32, 35, 35, 33, 30, 31, 34, 33, 19, 32, 49, 61, 
##     53, 52, 52, 54, 58, 57, 55, 66, 64, 60, 53, 75, 75, 85, 78, 
##     84, 86, 97, 95, 100, 102, 104, 106, 108, 105, 109, 112, 117, 
##     117, 117, 119, 117, 111, 120, 123, 114, 117, 109, 104, 102, 
##     106, 107, 101, 97, 107, 95, 93, 81, 84, 79, 77, 63, 69, 68, 
##     58, 70, 69, 46, 41, 39, 37, 32, 43, 44, 53, 52, 51, 60, 60, 
##     59, 65, 70, 73, 75, 76, 95, 99, 106, 109, 111, 128, 120, 
##     128, 119, 119, 119, 116, 114, 112, 111, 115, 122, 122, 117, 
##     112, 107, 89, 93, 91, 75, 77, 80, 80, 80, 80, 80, 80, 80, 
##     80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 
##     80, 80, 80, 80, 80, -20, -18, -29, -36, -28, -18, -43, -67, 
##     -38, -25, -70, -89, -86, -70, -72, -54, -52, -63, -85, -67, 
##     -67, -62, -61, -64, -64, -64, -63, -47, -47, -41, -54, -65, 
##     -56, -21, -8, 5, 5, 5, 8, 14, 4, 12, 12, 15, 19, 25, 29, 
##     32, 40, 47, 52, 51, 50, 50, 50, 51, 52, 55, 59, 55, 52, 45, 
##     33, 40, 31, 40, 43, 32, 27, 37, 32, 31, 32, 28, 28, 5, -14, 
##     -7, -6, -7, -14, -8, -19, -32, -39, -32, -31, 0, -15, -29, 
##     -51, -58, -67, -68, -65, -61, -53, -59, -71, -60, -6, -52, 
##     -63, -55, -34, -43, -40, -6, -8, -11, -10, 3, -11, 0, 6, 
##     2, 8, -3, 4, 13, 14, 15, 24, 30, 33, 52, 52, 62, 67, 71, 
##     56, 57, 61, 56, 56, 61, 68, 69, 66, 55, 48, 43, 42, 38, 32, 
##     38, 34, 29, 25, 22, 15, 16, 21, 10, 11, 11, -9, -14, -17, 
##     -21, -14, -23, -26, -38, 77, 82, 74, 72, 83, 123, 122, 122, 
##     129, 119, 126, 123, 125, 125, 126, 123, 119, 119, 116, 116, 
##     115, 118, 116, 115, 114, 114, 83, 80, 77, 93, 92, 93, 86, 
##     91, 82, 79, 82, 81, 78, 85, 88, 86, 86, 90, 86, 84, 91, 85, 
##     89, 87, 86, 86, 87, 84, 84, 86, 83, 83, 85, 85, 84, 83, 79, 
##     82, 79, 83, 84, 83, 84, 85, 82, 82, 81, 86, 85, 84, 80, 81, 
##     83, 83, 80, 81, 79, 78, 74, 73, 77, 77, 77, 78, 78, 77, 74, 
##     75, 75, 75, 75, 74, 71, 75, 80, 80, 80, 80, 29, 29, 19, 19, 
##     12, -12, -12, -12, -7, -7, -7, -5, -5, -23, -20, -18, -29, 
##     45, 75, 68, 10, 13, 28, 30, 40, 32, 30, 32, 32, 29, 30, 34, 
##     27, 28, 25, 30, 41, 40, 34, 38, 33, 35, 23, 47, 45, 59, 59, 
##     54, 66, 72, 79, 81, 90, 105, 106, 109, 110, 115, 116, 116, 
##     116, 145, 145, 138, 135, 122, 123, 131, 137, 146, 141, 137, 
##     140, 139, 139, 125, 106, 116, 117, 111, 105, 105, 100, 92, 
##     20, 16, 20, 15, 15, 10, 0, 28, 41, 27, 38, 35, 38, 36, 35, 
##     32, 29, 30, 40, 30, 249, 238, 260, 273, 235, 217, 171, 172, 
##     159, 208, 173, 168, 177, 162, 164, 182, 176, 200, 220, 255, 
##     250, 246, 257, 252, 255, 278, 257, 236, 215, 213, 220, 228, 
##     228, 231, 231, 181, 192, 185, 186, 185, 151, 101, 147, 183, 
##     180, 164, 153, 157, 143, 189, 158, 141, 160, 157, 141, 150, 
##     186, 200, 252, 262, 259, 267, 248, 229, 221, 214, 207, 223, 
##     243, 256, 238, 242, 237, 244, 258, 257, 265, 231, 240, 183, 
##     165, 176, 160, 151, 157, 160, 139, 142, 165, 182, 156, 145, 
##     140, 133, 143, 152, 188, 206, 213, 179, 169, 93, 119, 163, 
##     206, 183, 162, 167, 170, 147, 137, 142, 156, 171, 152, 160, 
##     148, 155, 153, 151, 152, 151, 163, 159, 150, 153, 153, 155, 
##     159, -7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 
##     -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 40, 47, 
##     56, 55, 51, 66, 77, 80, 65, 84, 84, 79, 84, 96, 76, 75, 73, 
##     77, 90, 78, 82, 72, 74, 74, 59, 49, 47, 46, 15, 16, 54, 48, 
##     48, 56, 46, 50, 59, 61, 65, 66, 62, 68, 74, 80, 82, 77, 81, 
##     74, 69, 64, 58, 60, 34, 47, 44, 15, 26, 20, 15, 6, -2, 2, 
##     -11, -13, -28, -33, -32, -15, -18, -42, -45, -25, -37, -36, 
##     -37, -30, -12, -28, -37, -20, -32, -25, -25, -22, -23, -25, 
##     -27, -39, -41, -39, -27, -32, -32, -11, -4, 11, 77, 76, 79, 
##     73, 81, 73, 57, 64, 62, 62, 63, 60, 43, 42, 45, 34, 30, 16, 
##     -3, -12, -13, -1, -30, -47, -56, -73, -82, -91, -96, -92, 
##     -105, -118, -113, -103, -87, -102, -110, -95, -94, -94, -124, 
##     -100, -73, -82, -78, -88, -96, -89, -113, -118, -99, -110, 
##     -101, -130, -137, -136, -138, -124, -112, -81, -104, -84, 
##     -90, -65, -49, -43, -59, -58, -12, -7, 3, -10, -14, -17, 
##     -2, -37, -36, -43, -53, -58, -46, -58, -69, -78, -56, -18, 
##     -14, -26, -29, 4, 0, 1, -6, -19, -22, -18, -17, -13, -19, 
##     -20, -14, -15, -17, -13, -10, 38, 33, 32, 21, 11, 11, 13, 
##     14, 16, 14, 25, 25, 24, 22, 21, 18, 18, 26, 29, 33, 32, 41, 
##     27, 26, 20, -47, -83, -70, -51, -42, -34, -14, 16, 39, 41, 
##     44, 66, 38, 57, 63, 73, 89, 91, 110, 125, 139, 147, 96, 106, 
##     111, 112, 135, 137, 152, 155, 146, 119, 114, 114, 125, 140, 
##     137, 132, 129, 114, 121, 101, 83, 40, 34, -21, -17, -16, 
##     3, 4, 37, 44, 56, 57, 72, 86, 58, 68, 81, 88, 96, 94, 107, 
##     115, 123, 125, 128, 140, 142, 72, 64, 89, 85, 86, 97, 114, 
##     123, 130, 131, 145, 136, 123, 129, 133, 130, 134, 124, 119, 
##     118, 123, 129, 116, 23, 17, 5, -15, -10, -4, -18, -27, -28, 
##     -8, -4, -9, -18, -39, -31, -8, -23, -20, -32, -20, 29, 44, 
##     55, 68, 51, 76, 69, 63, 61, 67, 71, 82, 77, 95, 119, 130, 
##     142, 157, 165, 162, 162, 171, 146, 122, 116, 115, 125, 131, 
##     130, 120, 104, 94, 102, -49, -51, -42, -34, -21, -12, -4, 
##     -11, -30, -18, -11, 12, 32, 44, 91, 93, 98, 105, 84, 104, 
##     110, 114, 130, 151, 164, -15, -12, -17, -51, -49, -33, -33, 
##     -35, -74, -53, -82, -84, -112, -129, -130, -139, -130, -137, 
##     -134, -127, -129, -127, -142, -125, -122, -85, -109, -110, 
##     -126, -155, -151, -157, -161, -152, -142, -134, -95, -90, 
##     -88, -100, -77, -30, -40, -69, -65, -67, -67, -12, -34, -36, 
##     -27, -18, -24, -17, -14, -12, -14, -37, -42, -36, -82, -90, 
##     -101, -102, -117, -117, -102, -120, -106, -108, -113, -105, 
##     -93, -74, -101, -100, -107, -119, -151, -138, -135, -136, 
##     -127, -127, -132, -109, -128, -99, -82, -106, -128, -113, 
##     -99, -102, -88, -102, -86, -95, -84, -73, -45, -3, 34, 30, 
##     -50, -60, -4, -9, -35, -21, -12, -25, -9, -8, -14, -7, -13, 
##     13, -2, -15, -11, -5, -8, -1, 2, -6, -8, -13, -3, 5, 3, 9, 
##     -23, -25, -18, -5, 2, 4, 14, 11, 0, -11, -4, 1, 7, 4, 6, 
##     8, 8, 6, 2, 2, 2, 2, 1, 11, -6, -6, -1, -4, -16, -11, -11, 
##     -24, -23, -6, -12, -5, -10, -18, -2, 2, 12, -5, -8, -11, 
##     -10, 7, 1, 6, 0, -5, -5, -5, -19, -15, -3, -4, 15, 8, -7, 
##     -28, -25, -34, -14, 9, 21, 21, 9, -23, -27, -24, -20, -4, 
##     19, -8, -20, -21, -20, -14, -14, -7, -9, -1, -9, -13, -3, 
##     -4, -3, -6, -6, 2, -1, -2, 0, 8, 8, -2, -3, 0, 4, 11, 11, 
##     3, 4, 6, 12, 13, 17, 17, 11, 11, 10, -1, 1, 6, -7, 0, 24, 
##     1, 0, -27, -21, -15, 36, 7, -10, -14, -20, -9, -14, -10, 
##     -8, -1, 8, 6, 6, 9, -9, -6, -5, -2, 1, -2, -7, -8, -7, 3, 
##     0, 5, 2, 2, 5, 2, 5, 12, 10, 7, 11, 10, 7, 16, 9, 6, -15, 
##     -21, -12, 1, -2, 2, 17, 11, -17, -35, -30, -26, -5, 25, 1, 
##     -19, -18, 9, 6, 4, -16, -14, 0, -3, -1, 3, 3, -1, 2, -10, 
##     -1, 14, 6, -3, -1, 6, 17, 10, 8, -8, 1, 1, -1, 5, 12, 9, 
##     2, 30, -23, 8, -13, -4, 9, 0, 4, 3, 12, -5, -6, -4, 2, 8, 
##     6, 16, 2, 2, 3, 0, -2, -3, -7, -10, 8, 2, 4, 19, 6, 7, 18, 
##     2, -2, 15, 6, 7, 8, 9, 20, 7, -1, -21, -26, -26, -26, -26, 
##     -26, -26, -31, -31, -31, -31, -36, -44, -43, -48, -44, -44, 
##     -44, -44, -44, -44, -44, -44, -44, -44, -44, -26, -28, -24, 
##     -24, -24, -24, -24, -24, -24, -24, -24, -24, -24, -6, -33, 
##     -70, -68, -28, -33, -35, -42, -34, -35, -38, -43, -42, -50, 
##     -51, -51, -51, -51, -51, -51, -51, -51, -51, -51, -51, -51, 
##     -39, -28, -31, -41, -36, -34, -34, -36, -37, -52, -52, -53, 
##     -51, -47, -47, -47, -47, -41, -37, -42, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, 13, 21, 28, 32, 32, 27, 
##     27, 28, 29, 26, 29, 5, -5, 10, 4, -7, -4, 1, 4, -2, -4, -11, 
##     -12, -6, -3, 1, 1, -2, 0, 1, -6, 0, -2, -14, -9, -6, -3, 
##     -2, -2, -2, 3, 5, 8, 8, 6, 6, 24, 23, 26, 32, 31, 29, 31, 
##     35, 39, 35, 34, 30, 23, 23, 10, 9, 6, 11, -1, 14, 14, -10, 
##     -6, -10, -9, -7, -7, -8, -4, -5, -7, -3, -2, -9, -5, -6, 
##     -4, 0, 1, 5, 12, 13, 15, 18, 19, 22, 31, 27, 25, 30, 38, 
##     33, 30, 31, 31, 26, 9, 17, 6, 21, 2, 11, -5, -7, -5, -3, 
##     -3, -11, -10, -6, -7, -6, -4, -5, -3, -2, -9, -11, -9, -7, 
##     -2, -3, -5, -5, -3, -3, -3, 5, 6, 12, 5, 7, 18, 14, 16, 7, 
##     19, 30, 22, 22, 29, 33, 30, 24, 16, 5, 2, 11, 7, 7, 7, 7, 
##     7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, -7, -6, 8, 13, 
##     9, 2, -3, 5, 10, 14, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
##     11, 11, 11, 11, 10, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
##     16, 13, 20, 21, 21, 24, 27, 35, 35, 35, 35, 22, 22, 26, 26, 
##     26, 26, 26, 26, 26, 26, 26, 26, 30, 30, 30, 30, 30, 30, -18, 
##     -15, -8, -11, -15, -17, -15, -11, -14, -17, -17, -14, -20, 
##     -18, -25, -31, -33, -27, -24, -29, -29, -31, -36, -33, -33, 
##     -40, -44, -37, -35, -35, -42, -46, -59, -58, -61, -58, -61, 
##     -59, -53, -59, -58, -59, -54, -57, -44, -35, -51, -48, -36, 
##     -53, -32, -56, -48, -35, -40, -29, -13, -9, -17, -10, -8, 
##     7, -2, -7, -7, -24, -4, 8, -3, -17, -23, -22, -4, 3, 3, -1, 
##     -14, -11, -17, -29, -12, -21, -25, -40, -43, -40, -44, -47, 
##     -39, -33, -27, -40, -39, -26, -25, -25, -19, -31, -35, -19, 
##     -14, -15, -26, -8, -28, -49, -13, -25, -10, -15, -10, -32, 
##     -17, -23, -25, -33, -24, -27, -36, -19, -15, -44, -65, -33, 
##     -16, 2, -19, -18, 4, -20, -27, -7, -17, -21, -34, -30, -11, 
##     -14, -23, -30, -26, -28, -27, -21, -20, -27, -26, -13, -12, 
##     -21, -27, -31, -33, -42, -52, -51, -43, -39, -37, -34, -33, 
##     -36, -37, -34, -29, -33, -34, -32, -35, -17, -43, -34, -26, 
##     -45, -44, -21, -21, -21, -17, -11, -8, -29, -17, -17, -21, 
##     -20, -5, -26, -16, -17, -22, -26, -21, -17, -20, -13, -28, 
##     -29, -28, -27, -31, -32, -31, -33, -33, -31, -39, -12, -34, 
##     -5, -30, -12, -18, 15, -9, -10, -25, -36, -47, -10, -27, 
##     -37, -35, -37, -31, -26, 1, -8, -16, -33, -40, -53, -46, 
##     -37, -25, -35, -41, -47, -48, -42, -43, -44, -27, -24, -8, 
##     -20, -5, -24, -32, -30, -65, -80, -52, -48, 8, -4, -27, -34, 
##     -27, -16, 8, -49, -55, -32, -16, -30, -26, -37, -30, -12, 
##     -20, -30, -39, -37, -38, -35, -34, -39, -42, -34, -30, -37, 
##     -21, -39, -34, -35, -26, -39, -31, -15, -34, -51, -25, 1, 
##     -17, -23, -36, -15, -57, -64, -52, -31, -24, -24, -42, -43, 
##     -23, -17, -30, -32, -39, -26, -19, -17, -20, -25, -37, -47, 
##     -42, -41, -35, -32, -38, -37, -35, -37, -41, -48, -41, -36, 
##     -33, -38, -16, -18, -17, -14, -37, -44, -28, -28, -34, -32, 
##     -36, -36, -36, -32, -30, -26, -20, -25, -51, -9, -23, -19, 
##     -18, -24, -33, -30, -34, -16, -21, -35, -35, -23, -27, -30, 
##     -33, -34, -48, -40, -31, -10, -12, -9, -13, -23, -20, -24, 
##     -32, -31, -35, -19, -27, -28, -20, -24, -37, -26, -29, -14, 
##     -11, -1, -1, -7, -23, -2, 13, -25, -1, -28, -8, -7, -17, 
##     -23, -32, 1, -5, -45, -21, 0, -50, -42, -26, -16, -16, -8, 
##     -13, -14, -19, -17, -12, -11, -15, -17, -22, -18, -18, -18, 
##     -26, -23, -16, -26, -22, -19, -20, -17, -19, -22, -29, -32, 
##     -35, 233, 236, 228, 232, 272, 299, 279, 260, 245, 240, 226, 
##     231, 296, 261, 235, 227, 233, 197, 194, 191, 204, 193, 172, 
##     166, 175, 171, 160, 157, 160, 161, 174, 149, 139, 128, 129, 
##     136, 171, 165, 181, 174, 152, 141, 131, 134, 148, 134, 144, 
##     139, 142, 139, 136, 142, 140, 137, 144, 151, 148, 141, 147, 
##     144, 148, 148, 147, 142, 142, 143, 144, 145, 142, 142, 141, 
##     143, 147, 150, 133, 142, 138, 130, 140, 134, 144, 141, 140, 
##     143, 139, 139, 143, 143, 143, 130, 136, 139, 140, 138, 146, 
##     139, 155, 150, 147, 148, 150, 142, 135, 144, 161, 160, 138, 
##     139, 143, 148, 155, 162, 157, 143, 146, 147, 149, 155, 156, 
##     152, 143, 138, 124, 134, 152, 150, 148, 139, 145, 145, 145, 
##     137, 135, 145, 151, 153, 152, 149, 147, 142, 140, 160, 151, 
##     143, 136, 125, 120, 138, 137, 135, 129, 112, 113, 118, 134, 
##     147, 139, 145, 160, 127, 126, 121, 127, 136, 137, 136, 139, 
##     138, 151, 163, 151, 149, 145, 142, 155, 159, 143, 126, 158, 
##     173, 166, 145, 146, 133, 134, 143, 152, 138, 116, 123, 115, 
##     121, 129, 145, 140, 137, 141, 140, 126, 131, 125, 120, 145, 
##     137, 137, 146, 156, 162, 161, 138, 133, 134, 144, 149, 149, 
##     158, 157, 155, 156, 161, 156, 144, 137, 137, 131, 156, 145, 
##     160, 178, 140, 112, 110, 169, 143, 128, 115, 110, 121, 134, 
##     124, 117, 121, 134, 136, 148, 161, 162, 155, 143, 146, 151, 
##     155, 156, 148, 153, 158, 162, 166, 159, 149, 159, 154, 162, 
##     139, 131, 152, 143, 120, 98, 138, 160, 141, 121, 129, 149, 
##     155, 139, 147, 151, 148, 153, 153, 158, 153, 148, 155, 160, 
##     163, 159, 160, 162, 153, 155, 151, 150, 143, 154, 182, 102, 
##     105, 126, 138, 146, 131, 141, 141, 141, 134, 129, 139, 117, 
##     119, 119, 117, 122, 155, 156, 126, 139, 166, 154, 142, 142, 
##     139, 138, 147, 153, 161, 167, 166, 158, 142, 149, 152, 136, 
##     130, 132, 169, 123, 112, 79, 123, 153, 142, 123, 102, 123, 
##     152, 150, 155, 165, 170, 171, 166, 162, 148, 143, 161, 162, 
##     155, 159, 155, 129, 143, 165, 161, 152, 155, 152, 155, 175, 
##     161, 141, 134, 118, 94, 103, 108, 157, 156, 155, 130, 126, 
##     115, 138, 155, 165, 156, 135, 139, 159, 161, 149, 140, 149, 
##     149, 151, 159, 157, 158, 158, 168, 163, 137, 159, 146, 144, 
##     143, 149, 161, 131, 105, 111, 166, 163, 151, 160, 150, 151, 
##     119, 119, 145, 155, 155, 148, 157, 153, 166, 150, 146, 150, 
##     141, 159, 148, 150, 151, 159, 157, 166, 161, 151, 149, 149, 
##     167, 179, 139, 149, 149, 153, 124, 134, 141, 140, 140, 124, 
##     122, 123, 147, 155, 146, 132, 129, 138, 138, 133, 133, 144, 
##     134, 135, 127, 131, 136, 129, 137, 131, 126, 135, 129, 135, 
##     132, 136, 135, 137, 134, 135, 138, 135, 130, 134, 135, 134, 
##     135, 135, 141, 134, 133, 140, 128, 138, 144, 139, 128, 139, 
##     136, 137, 141, 159, 181, 184, 198, 198, 213, 206, 215, 224, 
##     218, 213, 203, 193, 192, 197, 184, 236, 230, 174, 156, 199, 
##     197, 216, 214, 221, 239, 241, 234, 232, 221, 216, 211, 208, 
##     207, 204, 217, 227, 239, 227, 244, 228, 222, 178, 155, 177, 
##     197, 181, 180, 208, 195, 160, 134, 119, 115, 139, 144, 137, 
##     144, 141, 139, 141, 144, 139, 140, 142, 142, 145, 139, 140, 
##     139, 146, 144, 139, 142, 143, 144, 140, 137, 136, 142, 138, 
##     137, 139, 138, 138, 146, 165, 175, 179, 189, 196, 196, 190, 
##     192, 198, 199, 199, 200, 210, 210, 206, 207, 203, 192, 186, 
##     183, 177, 174, 152, 151, 150, 143, 107, 103, 103, 88, 192, 
##     196, 199, 213, 220, 221, 224, 229, 231, 232, 229, 220, 220, 
##     219, 218, 203, 199, 196, 189, 180, 174, 172, 60, 64, 72, 
##     75, 79, 74, 70, 75, 86, 85, 80, 75, 73, 82, 91, 90, 90, 91, 
##     89, 88, 92, 88, 86, 89, 90, 93, 96, 94, 105, 108, 109, 103, 
##     103, 106, 106, 110, 93, 51, 61, 65, 78, 88, 91, 90, 93, 83, 
##     76, 77, 65, 80, 81, 77, 68, 55, 69, 68, 56, 51, 54, 60, 58, 
##     67, 76, 56, 45, 44, 48, 79, 82, 64, 64, 72, 82, 68, 67, 70, 
##     76, 72, 74, 66, 66, 72, 77, 70, 77, 69, 77, 73, 64, 52, 66, 
##     69, 75, 74, 74, 72, 71, 68, 67, 79, 84, 78, 74, 75, 68, 73, 
##     71, 73, 79, 78, 85, 82, 71, 71, 77, 83, 64, 78, 72, 78, 87, 
##     78, 74, 72, 67, 75, 85, 90, 88, 83, 84, 74, 75, 71, 67, 73, 
##     85, 89, 78, 63, 60, 76, 82, 75, 76, 78, 91, 95, 84, 87, 83, 
##     87, 92, 90, 93, 93, 91, 88, 93, 93, 92, 94, 96, 94, 92, 91, 
##     91, 89, 91, 90, 88, 88, 89, 83, 83, 84, 85, 83, 87, 84, 81, 
##     74, 72, 82, 81, 86, 71, 65, 85, 80, 72, 65, 83, 74, 82, 75, 
##     89, 85, 74, 74, 65, 76, 79, 82, 81, 72, 72, 76, 76, 73, 78, 
##     72, 84, 91, 85, 87, 91, 90, 85, 87, 84, 81, 88, 85, 81, 81, 
##     83, 84, 83, 84, 85, 80, 79, 75, 77, 80, 80, 85, 74, 84, 81, 
##     78, 77, 65, 66, 71, 71, 72, 75, 74, 75, 69, 61, 51, 56, 65, 
##     84, 87, 74, 69, 70, 63, 62, 69, 50, 79, 86, 91, 91, 86, 82, 
##     76, 75, 80, 83, 85, 89, 84, 82, 78, 83, 82, 79, 84, 86, 86, 
##     80, 78, 89, 77, 82, 81, 86, 85, 85, 80, 82, 81, 78, 83, 86, 
##     80, 74, 76, 73, 64, 60, 83, 68, 75, 72, 73, 75, 70, 77, 77, 
##     71, 70, 71, 68, 71, 67, 62, 65, 69, 74, 71, 71, 68, 64, 63, 
##     87, 88, 100, 102, 92, 80, 80, 86, 89, 91, 91, 90, 93, 94, 
##     95, 104, 103, 97, 92, 91, 102, 101, 95, 95, 98, 100, 97, 
##     98, 86, 88, 89, 88, 93, 91, 89, 89, 89, 83, 80, 65, 64, 65, 
##     62, 63, 71, 73, 65, 76, 77, 70, 67, 84, 78, 74, 71, 71, 75, 
##     79, 77, 73, 75, 86, 77, 79, 81, 77, 77, 85, 88, 86, 81, 78, 
##     84, 87, 70, 79, 76, 71, 73, 77, 77, 80, 82, 80, 81, 74, 76, 
##     76, 74, 76, 76, 76, 67, 77, 88, 91, 70, 32, 28, 95, 63, 75, 
##     74, 68, 61, 59, 54, 75, 81, 73, 76, 76, 69, 69, 74, 77, 78, 
##     81, 78, 74, 76, 73, 73, 73, 73, 71, 82, 82, 79, 79, 80, 79, 
##     81, 82, 80, 79, 79, 78, 75, 72, 70, 80, 94, 81, 70, 73, 75, 
##     75, 80, 79, 82, 76, 77, 72, 86, 69, 64, 78, 78, 75, 75, 71, 
##     71, 66, 62, 64, 58, 72, 66, 78, 70, 65, 67, 72, 72, 77, 81, 
##     93, 91, 87, 77, 78, 81, 80, 85, 80, 85, 78, 86, 100, 101, 
##     87, 82, 79, 87, 89, 89, 87, 76, 89, 89, 88, 82, 89, 90, 87, 
##     71, 76, 69, 48, 123, 83, 56, 94, 82, 79, 66, 48, 71, 72, 
##     62, 69, 75, 78, 75, 72, 68, 61, 70, 71, 68, 77, 73, 58, 60, 
##     65, 59, 62, 66, 65, 71, 73, 66, 65, 63, 64, 66, 47, 64, 74, 
##     73, 74, 73, 71, 71, 72, 67, 67, 64, 65, 70, 76, 78, 74, 80, 
##     82, 85, 85, 78, 84, 82, 80, 85, 78, 81, 84, 87, 86, 78, 75, 
##     69, 75, 67, 74, 75, 77, 74, 74, 72, 72, 74, 75, 76, 76, 75, 
##     74, 73, 73, 74, 73, 69, 72, 160, 162, 190, 179, 121, 113, 
##     103, 97, 92, 79, 84, 69, 51, 58, 58, 61, 64, 65, 61, 55, 
##     67, 74, 70, 67, 68, 70, 66, 63, 69, 72, 69, 62, 71, 77, 77, 
##     85, 114, 132, 132, 156, 148, 150, 166, 183, 183, 84, 83, 
##     90, 88, 84, 85, 69, 70, 80, 85, 73, 79, 83, 78, 82, 80, 74, 
##     66, 69, -40, -16, -33, -63, -67, -56, -36, -37, -57, -67, 
##     -73, -61, -47, -77, -73, -47, -54, -68, -65, -68, -67, -68, 
##     -67, -68, -64, -65, -69, -68, -65, -62, -66, -61, -61, -65, 
##     -63, -68, -67, -65, -63, -68, -62, -68, -82, -79, -67, -65, 
##     -66, -62, -61, -61, -67, -73, -70, -66, -64, -68, -58, -54, 
##     -48, -58, -63, -65, -59, -54, -56, -49, -48, -52, -52, -54, 
##     -51, -56, -54, -52, -57, -58, -56, -56, -54, -54, -47, -45, 
##     -48, -54, -56, -56, -56, -57, -50, -50, -53, -56, -50, -48, 
##     -52, -50, -51, -53, -53, -56, -47, -57, -54, -53, -52, -57, 
##     -52, -53, -60, -68, -56, -45, -55, -49, -46, -43, -57, -61, 
##     -60, -57, -63, -69, -71, -75, -73, -63, -64, -64, -64, -54, 
##     -47, -43, -43, -39, -39, -58, -59, -56, -51, -53, -50, -49, 
##     -53, -57, -57, -56, -55, -54, -54, -57, -58, -54, -51, -54, 
##     -52, -53, -56, -54, -52, -52, -54, -61, -58, -51, -54, -52, 
##     -50, -50, -54, -58, -56, -51, -57, -59, -49, -38, -65, -55, 
##     -60, -60, -52, -61, -62, -53, -55, -54, -54, -54, -61, -57, 
##     -50, -50, -53, -52, -60, -59, -60, -57, -56, -55, -57, -54, 
##     -52, -57, -54, -61, -62, -56, -57, -53, -62, -61, -60, -60, 
##     -49, -48, -60, -56, -49, -51, -49, -51, -53, -53, -49, -48, 
##     -57, -54, -53, -47, -50, -53, -48, -54, -56, -55, -52, -47, 
##     -50, -61, -58, -51, -56, -61, -59, -58, -58, -61, -54, -52, 
##     -54, -57, -53, -49, -56, -61, -59, -58, -64, -59, -54, -58, 
##     -58, -64, -59, -56, -60, -69, -73, -40, -52, -70, -75, -65, 
##     -71, -63, -55, -62, -63, -51, -57, -55, -52, -55, -64, -61, 
##     -65, -63, -53, -56, -58, -53, -52, -58, -60, -59, -57, -56, 
##     -51, -53, -54, -58, -58, -56, -53, -55, -59, -58, -57, -54, 
##     -56, -57, -54, -57, -58, -59, -57, -58, -60, -63, -64, -56, 
##     -60, -57, -61, -72, -60, -52, -51, -56, -56, -65, -52, -54, 
##     -60, -66, -74, -72, -68, -61, -57, -54, -57, -59, -58, -41, 
##     -58, -54, -56, -52, -54, -57, -54, -53, -53, -60, -57, -58, 
##     -56, -53, -56, -61, -60, -59, -63, -64, -71, -78, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -44, -56, -50, -47, -52, -53, 
##     -52, -51, -51, -54, -56, -57, -57, -57, -55, -51, -53, -56, 
##     -54, -55, -55, -56, -55, -51, -59, -50, -56, -60, -53, -64, 
##     -68, -61, -56, -54, -71, -59, -70, -61, -76, -76, -70, -56, 
##     -79, -75, -66, -66, -74, -71, -68, -53, -53, -53, -61, -65, 
##     -61, -62, -55, -58, -49, -59, -59, -66, -46, -52, -53, -58, 
##     -68, -73, -70, -72, -70, -62, -57, -68, -61, -61, -69, -69, 
##     -62, -59, -59, -57, -64, -72, -71, -68, -62, -68, -65, -70, 
##     -70, 135, 151, 125, 150, 138, 144, 139, 134, 136, 145, 140, 
##     141, 141, 144, 140, 144, 146, 144, 142, 144, 144, 166, 209, 
##     183, 129, 133, 159, 190, 188, 148, 147, 153, 142, 137, 204, 
##     216, 218, 220, 238, 203, 205, 119, 129, 130, 141, 163, 102, 
##     144, 149, 141, 144, 139, 128, 138, 153, 143, 141, 141, 140, 
##     146, 157, -16, -9, -3, -12, -8, -6, -8, -7, -5, -4, -7, -6, 
##     -7, -1, -6, -4, -1, 4, 33, 33, 33, 33, 33, 33, 33, 33, 35, 
##     35, 34, 33, 31, 31, 31, 29, 27, 22, 21, 16, 20, 14, 1, 1, 
##     9, 0, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, -41, 
##     -41, -41, -41, -41, -41, -41, -13, 1, -10, -8, 2, 2, -4, 
##     8, 9, 1, -11, 4, -10, 2, -11, 2, 11, -10, -11, -7, -4, 6, 
##     4, 0, 2, 9, -2, 3, -14, -8, -8, -12, -1, 12, -13, -25, -35, 
##     -7, -12, -13, -5, -6, -10, 0, -4, 5, -7, -12, 1, -8, -5, 
##     -9, -1, -19, -36, -24, 4, -6, 14, 6, -3, -34, -26, -28, -27, 
##     -8, 24, 25, -18, -25, -19, -18, -24, -19, 4, -6, -1, -26, 
##     -19, -23, -8, -4, 26, 13, 2, -24, -33, -20, -5, -11, -14, 
##     -10, -2, -7, -22, 15, -11, -10, -9, -13, 6, 6, 24, 14, 4, 
##     3, 0, 5, 0, -1, -13, -16, -1, 9, 5, -4, -6, -33, -33, 14, 
##     -10, -5, -11, -41, -14, -14, -14, -7, -9, -12, -20, -21, 
##     -29, -32, -22, -29, -19, -25, -35, -34, -20, -19, -26, -22, 
##     -23, -22, -22, -28, -20, -16, -11, -24, -23, -28, -30, -38, 
##     -35, -31, -23, -32, -29, -37, -39, -40, -47, -48, -49, -38, 
##     -34, 38, 33, 34, 46, 41, 45, 41, 40, 39, 42, 26, 36, 41, 
##     43, 47, 49, 52, 56, 33, 21, 27, 42, 46, 51, 50, 47, 43, 35, 
##     41, 33, 33, 33, 52, 34, 41, 20, 16, 17, 29, 32, 33, 30, 31, 
##     28, 31, 27, 24, 29, 38, 36, 37, 39, 22, 25, 19, 31, 50, 46, 
##     65, 55, 51, 25, 18, 14, 46, 46, 46, 41, 46, 42, 39, 38, 9, 
##     12, 9, 31, 45, 39, 43, 36, 33, 40, 46, 43, 46, 26, 35, 45, 
##     31, 27, 42, 27, 28, 37, 24, 32, 12, 13, 12, 19, 24, 17, 13, 
##     8, 5, 1, -2, 5, 10, 6, 4, 6, 4, 6, 10, 9, 7, 5, 4, 8, 7, 
##     5, 14, 3, 6, 2, 4, 7, 4, -2, 5, 9, 5, 12, 7, 7, 4, 2, 2, 
##     2, 3, 2, 3, 3, 4, 2, 7, 10, -2, 2, 9, -7, -3, -9, -3, -3, 
##     4, 4, 15, 17, 11, -4, -8, -8, -4, -3, 13, 3, 2, 21, 11, 0, 
##     -11, -10, -1, -10, -1, 2, -3, 1, 0, 17, 13, 7, -3, 4, 3, 
##     1, 6, 13, 14, 21, 5, 8, 9, 5, -1, 7, -5, 6, 3, 18, 2, -7, 
##     -12, -10, -12, -4, -4, -10, -6, -17, -8, -6, 2, 4, -8, 4, 
##     5, -9, -12, -4, 17, 17, 11, 8, 6, 8, 8, 0, 5, -2, -2, 13, 
##     0, 13, 1, -9, -13, -6, -4, -11, -11, 26, 24, 16, 3, -19, 
##     -5, -17, 0, 7, 33, 16, -10, 8, 17, -21, -20, -12, -6, 19, 
##     -2, -6, -5, -6, -18, -13, -8, -5, -2, 7, 5, 11, 3, -2, -2, 
##     0, -5, 0, -17, -38, -31, -21, -5, 10, -11, 30, 19, 13, 2, 
##     -8, -7, -6, 12, 18, 15, 16, 15, 11, 10, 7, 3, 5, 6, 2, 4, 
##     3, -3, -3, -10, -9, -13, -13, -7, -20, -17, 6, 7, -11, -28, 
##     -41, -42, -38, -15, -21, -26, -5, -28, -5, -1, 11, -16, -19, 
##     -11, -4, -4, -5, -12, -7, -4, -2, -6, -10, -5, 1, -8, -15, 
##     -24, -24, -42, -38, -8, -13, -11, -7, -5, -5, -3, -3, -7, 
##     -14, -13, -21, -22, -25, -27, -26, -32, -36, -34, -34, -35, 
##     -30, -29, -26, -32, -13, -22, -17, -16, -36, -45, -44, -44, 
##     -60, -48, -39, -50, -41, -46, -40, -29, -26, -29, -24, -26, 
##     -39, -49, -30, -20, -27, -17, -12, -21, -23, -27, -29, -22, 
##     -22, -19, -25, -45, -52, -54, -57, -59, -52, -59, -52, -32, 
##     -47, -40, -43, -40, -45, -15, -1, -39, -41, -36, -38, -22, 
##     -22, -27, -20, -19, -33, -33, -26, -30, -39, -42, -45, -49, 
##     -38, -33, -40, -46, -47, -55, -17, -15, -20, -20, -13, -33, 
##     -57, -61, -62, -76, -68, -63, -49, -55, -62, -50, -44, -34, 
##     -45, -46, -55, -51, -37, -23, -11, -23, -35, -42, -29, -27, 
##     -29, -32, -29, -24, -22, -19, -22, -23, -20, -18, -25, -32, 
##     -43, -38, -41, -38, -40, -37, -26, -32, -14, -47, -35, -51, 
##     -44, -51, -42, -38, -25, -42, -53, -38, -30, -24, -12, -29, 
##     -51, -45, -35, -42, -28, -26, -34, -31, -24, -25, -28, 45, 
##     30, 29, 40, 44, 47, 42, 40, 46, 44, 40, 45, 43, 38, 42, 32, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 14, 24, 24, 26, 29, 27, 28, 25, 15, 15, 17, 19, 16, 28, 
##     31, 20, 16, 14, 22, 20, 21, 27, 16, 15, 19, 10, 28, 0, 9, 
##     9, 8, 10, 17, 14, 15, 11, -11, -6, 6, -3, -3, 2, 7, 4, 9, 
##     17, -2, 3, 0, 17, 14, 3, 0, 21, 21, 25, 32, 32, 33, 31, 32, 
##     34, 39, 40, 41, 35, 30, 27, 20, 14, 31, 37, 39, 37, 29, 27, 
##     29, 37, 28, 39, 28, 21, 22, 26, 25, 25, 24, 24, 27, 23, 26, 
##     31, 24, 11, 6, 18, 11, 10, 13, 7, 5, 6, 4, 5, 6, 19, 21, 
##     15, 9, 15, 27, 29, 26, 23, 20, 41, 41, 37, 33, 29, 29, 29, 
##     37, 35, 39, 40, 32, 32, 29, 25, 43, 37, 39, 40, -2, 12, 11, 
##     14, 18, 16, 26, 23, 23, 21, 22, 21, 40, 45, 45, 51, 57, 58, 
##     53, 46, 45, 45, 41, 41, 42, 55, 53, 48, 48, 42, 39, 38, 41, 
##     39, 39, 36, 38, 24, 26, 35, 38, 31, 31, 35, 26, 23, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 30, 30, 
##     30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 24, 26, 27, 
##     18, 7, 11, 14, 2, 8, -3, 10, 9, 4, -5, 1, 8, 9, -6, -6, -8, 
##     -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -33, -32, -14, 
##     -13, -8, -15, -13, -23, -23, -7, -2, -1, 16, 20, 18, 25, 
##     32, 40, 46, 67, 64, 80, 75, 83, 79, 79, 90, 91, 89, 89, 85, 
##     80, 73, 78, 62, 27, 28, 31, 32, 27, 29, 23, 15, 0, 7, 7, 
##     7, 5, -3, -1, 8, 12, -1, -14, -30, -37, -31, -20, -16, -16, 
##     -6, -3, -11, -8, -18, -27, -30, -18, -21, -11, -7, 10, 9, 
##     23, 24, 26, 24, 30, 25, 30, 77, 77, 68, 72, 95, 100, 101, 
##     105, 94, 85, 73, 77, 63, 52, 50, 47, 41, 39, 33, 20, 16, 
##     11, 5, 5, -4, -8, -9, -6, -4, -9, -12, -13, -5, -10, -8, 
##     -15, -5, -11, -8, -13, -18, -9, -6, -9, -8, 1, 14, 20, 25, 
##     34, 33, 42, 50, 54, 65, 82, 75, 62, 78, 91, 95, 88, 91, 95, 
##     78, 73, 46, 32, 24, 33, 32, 29, 28, 28, 28, 28, 26, 24, 24, 
##     14, 14, 14, 14, 9, 9, 9, 12, 8, -2, 4, 2, -7, -15, -27, -22, 
##     -4, -9, -9, -14, -17, -22, -24, -10, -10, 3, 16, 25, 32, 
##     41, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
##     48, 48, 48, 48, 48, 48, 15, 15, 18, 22, 20, 20, 19, 19, 19, 
##     21, 16, 18, 19, 19, 16, 19, 19, 19, 17, 14, -34, -35, -30, 
##     -32, -40, -43, -32, -31, -28, -31, -19, -11, -14, -10, -4, 
##     2, 6, 11, 17, 19, 28, 38, 25, 26, 15, 16, 27, 13, 10, -1, 
##     9, 28, 22, 20, 5, 17, 24, 20, 1, 4, 10, 13, 15, 7, 5, 9, 
##     14, 11, 10, 9, 4, 8, 7, 4, 8, 10, 23, 17, 4, 4, 3, 2, 21, 
##     30, 37, 33, 30, 34, 30, 37, 21, 19, 15, 15, 16, 16, 14, 27, 
##     17, 22, 34, 27, 10, 4, 4, 9, 15, 10, 12, 5, 7, 7, 8, 7, 10, 
##     8, 9, 7, 9, 8, 9, 10, 6, 12, 11, 11, 15, 11, 20, 26, 19, 
##     25, 18, 18, 16, 11, 11, 16, 32, 33, 32, 35, 24, 12, 14, 12, 
##     17, 32, 26, 24, 25, 18, 24, 10, 9, -2, -1, -7, -2, 8, 2, 
##     0, 5, 7, 5, 6, 9, 10, 9, 6, 2, 7, 3, 34, 31, 8, 22, 27, 31, 
##     28, 30, 36, 38, 45, 30, 20, 27, 28, 26, 22, 17, 22, 20, 13, 
##     13, 8, 1, -10, 8, 10, -4, 0, 1, 6, 4, 5, 2, 0, 11, 25, 10, 
##     8, 12, 32, 34, 32, 31, 27, 25, 27, 18, 17, 18, 30, 32, 20, 
##     23, 22, 19, 33, 31, 20, 19, 10, 13, 10, 0, 3, 1, 10, 12, 
##     12, 14, 20, 21, 20, 8, 10, 14, 23, 26, 25, 22, 30, 31, 13, 
##     27, 25, 27, 29, 22, 11, 20, 27, 19, 21, 26, 25, 52, 53, 40, 
##     35, 26, 23, 34, 41, 43, 58, 60, 38, 35, 46, 50, 51, 49, 47, 
##     50, 57, 44, 49, 36, 42, 57, 42, 72, 29, 46, 50, 45, 38, 21, 
##     30, 43, 43, 47, 47, 142, 143, 137, 139, 133, 134, 136, 138, 
##     140, 126, 138, 137, 137, 143, 131, 123, 144, 136, 132, 141, 
##     165, 169, 158, 156, 161, 164, 159, 132, 134, 175, 155, 160, 
##     152, 142, 149, 156, 153, 152, 153, 152, 153, 157, 153, 162, 
##     154, 150, 155, 157, 155, 150, 152, 149, 152, 149, 164, 145, 
##     138, 143, 154, 155, 147, 147, 160, 162, 144, 145, 156, 150, 
##     147, 149, 150, 159, 155, 156, 159, 153, 152, 151, 152, 156, 
##     156, 154, 153, 152, 155, 156, 152, 165, 167, 173, 184, 192, 
##     172, 179, 189, 184, 183, 201, 190, 186, 177, 172, 178, 181, 
##     178, 196, 203, 202, 191, 198, 194, 200, 192, 187, 191, 191, 
##     185, 174, 169, 146, 140, 137, 135, 147, 182, 203, 204, 215, 
##     220, 199, 196, 201, 177, 168, 166, 189, 168, 135, 136, 160, 
##     181, 181, 161, 161, 164, 160, 151, 155, 160, 164, 169, 202, 
##     201, 186, 173, 183, 187, 188, 184, 208, 199, 181, 178, 181, 
##     189, 207, 193, 184, 175, 179, 176, 167, 164, 164, 176, 161, 
##     175, 153, 165, 155, 159, 160, 160, 153, 153, 161, 168, 172, 
##     174, 183, 187, 189, 191, 183, 184, 183, 201, 200, 198, 188, 
##     201, 205, 208, 213, 193, 191, 196, 186, 177, 167, 166, 171, 
##     173, 152, 146, 160, 171, 164, 156, 161, 170, 170, 182, 185, 
##     185, 196, 201, 195, 179, 211, 192, 199, 197, 193, 208, 222, 
##     203, 190, 182, 175, 175, 179, 173, 169, 160, 153, 163, 166, 
##     167, 168, 163, 166, 169, 171, 184, 187, 193, 198, 204, 208, 
##     196, 188, 198, 202, 212, 215, 211, 208, 200, 230, 216, 219, 
##     220, 202, 195, 182, 183, 182, 176, 176, 183, 194, 205, 204, 
##     203, 197, 191, 179, 180, 185, 180, 182, 189, 172, 163, 168, 
##     168, 169, 171, 157, 171, 156, 153, 179, 188, 196, 197, 192, 
##     173, 191, 191, 180, 200, 214, 224, 202, 189, 202, 217, 197, 
##     192, 194, 187, 186, 173, 180, 163, 159, 160, 153, 148, 144, 
##     172, 169, 163, 159, 159, 169, 174, 183, 194, 201, 196, 173, 
##     181, 220, 212, 202, 203, 198, 197, 194, 197, 206, 209, 203, 
##     187, 182, 186, 178, 168, 177, 157, 150, 143, 151, 165, 162, 
##     153, 155, 155, 157, 161, 161, 164, 161, 160, 157, 161, 165, 
##     162, 160, 159, 160, 163, 161, 158, 159, 158, 158, 154, 152, 
##     156, 159, 157, 157, 156, 166, 162, 158, 157, 156, 153, 157, 
##     161, 162, 167, 169, 163, 163, 169, 169, 161, 160, 162, 162, 
##     159, 160, 160, 160, 158, 161, 162, 162, 160, 165, 159, 161, 
##     162, 67, 74, 79, 78, 77, 75, 75, 93, 88, 83, 77, 77, 75, 
##     81, 82, 86, 77, 85, 87, 81, 79, 80, 76, 79, 78, 74, 72, 69, 
##     74, 75, 77, 67, 69, 95, 92, 95, 94, 85, 93, 88, 89, 98, 93, 
##     92, 91, 90, 91, 88, 86, 89, 89, 87, 87, 86, 90, 90, 87, 80, 
##     75, 71, 72, 76, 83, 73, 66, 83, 76, 69, 81, 82, 74, 71, 76, 
##     79, 77, 81, 76, 73, 74, 75, 67, 71, 76, 77, 80, 54, 57, 61, 
##     61, 61, 61, 61, 61, 70, 77, 74, 70, 75, 80, 76, 76, 72, 69, 
##     64, 66, 100, 103, 99, 101, 106, 114, 119, 118, 120, 128, 
##     122, 120, 131, 127, 127, 135, 129, 137, 131, 125, 123, 123, 
##     132, 109, 105, 107, 107, 110, 115, 115, 116, 116, 114, 118, 
##     132, 122, 121, 119, 120, 128, 133, 131, 127, 133, 130, 128, 
##     131, 135, 136, 130, 126, 130, 131, 126, 131, 125, 126, 120, 
##     119, 125, 126, 113, 115, 110, 105, 103, 104, 102, 94, 98, 
##     99, 116, 116, 125, 127, 126, 125, 126, 120, 120, 119, 121, 
##     120, 117, 118, 111, 111, 119, 115, 109, 101, 103, 106, 109, 
##     100, 99, 99, 101, 96, 86, 80, 85, 95, 91, 92, 91, 91, 95, 
##     93, 90, 90, 91, 94, 107, 100, 100, 109, 113, 114, 111, 111, 
##     114, 104, 110, 103, 103, 109, 108, 107, 122, 118, 119, 106, 
##     121, 115, 118, 115, 115, 119, 112, 114, 115, 114, 109, 104, 
##     103, 112, 105, 102, 101, 93, 85, 94, 94, 94, 89, 90, 89, 
##     89, 88, 87, 89, 87, 90, 90, 92, 94, 87, 99, 103, 92, 102, 
##     101, 124, 117, 116, 119, 123, 116, 120, 132, 125, 132, 133, 
##     135, 133, 137, 131, 129, 123, 123, 122, 126, 122, 120, 119, 
##     111, 117, 102, 91, 95, 93, 94, 91, 89, 90, 91, 89, 90, 89, 
##     89, 91, 93, 91, 87, 89, 92, 93, 93, 93, 124, 123, 122, 123, 
##     119, 121, 118, 103, 109, 101, 107, 85, 91, 95, 93, 92, 102, 
##     95, 96, 121, 117, 121, 117, 114, 115, 113, 116, 114, 114, 
##     121, 129, 131, 132, 134, 137, 137, 136, 136, 133, 132, 137, 
##     129, 97, 96, 97, 89, 91, 95, 98, 99, 89, 85, 100, 120, 118, 
##     110, 114, 107, 120, 112, 114, 121, 132, 124, 114, 101, 95, 
##     103, 108, 104, 102, 103, 104, 100, 94, 89, 94, 94, 94, 97, 
##     97, 98, 94, 97, 97, 71, 65, 65, 65, 70, 69, 73, 78, 77, 75, 
##     71, 72, 68, 67, 72, 75, 73, 75, 76, 78, 59, 60, 70, 78, 83, 
##     92, 93, 85, 76, 75, 70, 66, 61, 49, 40, 52, 46, 60, 56, 59, 
##     68, 68, 58, 60, 61, 54, 98, 92, 92, 92, 100, 96, 96, 99, 
##     105, 103, 102, 101, 98, 103, 93, 92, 103, 78, 74, 75, 64, 
##     62, 85, 81, 73, 76, 86, 68, 81, 89, 80, 52, 81, 78, 78, 77, 
##     76, 80, 78, 72, 70, 89, 82, 83, 85, 87, 84, 83, 80, 78, 77, 
##     80, 80, 80, 77, 81, 82, 85, 87, -62, -62, -62, -62, -62, 
##     -62, -62, -62, -62, -62, -62, -62, -62, -62, 1, 1, 0, 3, 
##     -42, -48, -42, -27, -4, -5, -5, -11, -18, -1, -10, -4, -19, 
##     -22, -16, -11, -18, -18, -23, -32, -33, -27, -22, -22, -36, 
##     -41, -37, -58, -49, -23, -17, 2, 10, 5, -8, -10, -4, -1, 
##     2, 6, 11, 9, 9, 9, 9, 9, 12, 10, 7, 6, 7, 7, 8, 10, 7, 7, 
##     7, 15, 21, 21, 20, 9, 15, 36, 34, 30, 35, 33, 33, 34, 32, 
##     35, 30, 32, 32, 32, 32, 32, 32, 34, 34, 31, 28, 28, 26, 26, 
##     25, 25, 25, 22, 22, 22, 22, 22, 22, 22, 22, 25, 19, 23, 15, 
##     18, 27, 17, -3, 10, 23, 19, 17, 27, 23, 17, 20, 24, 25, 28, 
##     27, 27, 28, 23, 24, 27, 30, 24, 21, 21, 21, 21, 25, 23, 19, 
##     21, 21, 18, 16, 16, 13, 8, 11, 12, 12, 13, 13, 31, 23, 19, 
##     18, 16, 18, 15, 16, 20, 24, 16, 30, 31, 31, 31, 31, 31, 31, 
##     31, 45, 45, 45, 45, 27, 21, 27, 26, 18, 16, 18, 14, 20, 17, 
##     -2, -3, -1, 8, 2, 1, -1, -4, 16, 16, 16, 16, 16, 16, 16, 
##     16, 13, 13, 13, 13, 13, 13, 6, 6, 7, 5, 4, 5, 5, 5, 5, 5, 
##     11, 11, 11, 11, 11, 11, 10, 7, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 15, 16, 16, 16, 35, 32, 31, 35, 37, 34, 31, 
##     33, 41, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
##     44, 44, 44, 44, 44, 44, 16, 16, 19, 19, 19, 15, 17, 22, 7, 
##     9, 12, 15, 12, 9, 8, 12, 17, 14, 12, 31, 8, 12, 17, 19, 20, 
##     17, 18, 13, 10, 3, 28, 29, 19, 17, 13, 9, 15, 12, 20, 19, 
##     26, -22, -23, -23, -20, -18, -18, -20, -8, -12, -8, -2, -5, 
##     -9, -12, -11, -14, -14, -16, -16, -16, -16, -16, 172, 171, 
##     168, 163, 161, 167, 166, 166, 164, 168, 168, 171, 168, 168, 
##     165, 166, 166, 167, 167, 168, 160, 163, 164, 162, 165, 161, 
##     181, 172, 167, 160, 172, 167, 158, 160, 164, 167, 178, 181, 
##     187, 185, 179, 174, 171, 204, 222, 188, 154, 157, 159, 162, 
##     162, 154, 175, 182, 181, 182, 184, 184, 185, 189, 186, 188, 
##     203, 210, 201, 190, 209, 210, 210, 222, 204, 188, 194, 193, 
##     188, 171, 173, 176, 152, 180, 170, 170, 161, 158, 155, 154, 
##     157, 163, 168, 176, 189, 193, 190, 83, 73, 81, 90, 109, 114, 
##     88, 79, 69, 56, 50, 42, 37, 28, 28, 40, 29, 17, 6, 11, 13, 
##     2, -11, -5, -8, -14, -14, -18, -14, -9, -8, -5, -11, 5, 4, 
##     5, 16, 22, 36, 38, 34, 44, 54, 67, 74, 27, 27, 25, 25, 25, 
##     25, 25, 25, 25, 25, 25, 25, 20, 20, 20, 20, 20, 20, 20, 20, 
##     20, 22, 15, 10, -4, 8, 21, 19, 20, 8, -7, -41, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 62, 63, 64, 61, 61, 61, 57, 57, 54, 54, 
##     54, 38, 38, 28, 27, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -20, -12, -5, -11, 
##     -22, -22, -27, -24, -22, -17, -28, -25, -36, -41, -28, -27, 
##     -25, -32, -35, -33, -30, -35, -20, -21, -18, -39, -29, -25, 
##     -10, -20, -12, -11, -9, -16, -46, -40, -28, -38, -37, -33, 
##     -18, -13, -3, -2, 0, -8, -23, -36, -18, -3, -1, -5, -3, -2, 
##     -6, -7, -12, -11, -19, -6, -13, -14, 17, -4, 2, -1, 2, 4, 
##     5, -13, -6, -5, -1, 7, 5, 2, -2, 0, 0, -6, -16, 2, 4, 2, 
##     0, 2, -1, 29, 20, 18, 33, 33, 21, 61, 41, 9, 32, 21, -1, 
##     31, 31, 5, 11, 11, 2, 7, 21, 8, 7, 13, 27, 26, 21, 24, 20, 
##     9, 10, 33, 18, 30, 31, 33, 33, 32, 34, 35, 42, 40, 47, 45, 
##     43, 34, 22, 49, 47, 39, 34, 52, 45, 30, 20, 23, 24, 23, 22, 
##     22, 22, 23, 22, 23, 23, 23, 22, 23, 24, 23, 22, 25, 22, 21, 
##     21, 24, 20, 20, 20, 16, 18, 19, 14, 10, 9, -20, 13, 37, 43, 
##     35, 53, 57, 44, 60, 62, 56, 143, 143, 144, 41, 49, 48, 48, 
##     56, 82, 117, 171, 179, 185, 186, 188, 195, 202, 200, 223, 
##     238, 238, 235, 238, 236, 237, 236, 248, 254, 279, 277, 277, 
##     264, 257, 213, 203, 181, 185, 187, 178, 171, 167, 158, 150, 
##     156, 137, 122, 119, 93, 90, 92, 81, 80, 64, 73, 66, 36, 51, 
##     54, 53, 52, 51, 44, 34, 37, 35, 28, 38, 58, 64, 63, 71, 133, 
##     146, 166, 166, 170, 218, 223, 240, 241, 244, 238, 242, 246, 
##     247, 242, 244, 239, 240, 241, 225, 216, 198, 188, 168, 166, 
##     159, 157, 141, 140, 134, 122, 104, 99, 94, 83, 75, 78, 79, 
##     74, 61, 36, 29, 36, 50, 46, 45, 55, 60, 54, 64, 58, 47, 55, 
##     56, 51, 51, 57, 67, 67, 67, 74, 75, 77, 81, 132, 159, 169, 
##     209, 215, 219, 220, 192, 169, 151, 138, 132, 126, 130, 123, 
##     114, 111, 103, 102, -16, 5, 1, 6, 2, -11, -12, -4, 0, 0, 
##     31, 36, 69, 82, 87, 102, 126, 121, 134, 141, 141, 149, 159, 
##     170, 184, 196, 194, 189, 181, 140, 170, 189, 210, 189, 186, 
##     181, 181, 175, 160, 164, 158, 141, 148, 122, 88, 72, 71, 
##     49, 55, 65, 46, 50, 57, 32, 24, 20, 11, -29, -29, -33, -46, 
##     -40, -23, -21, -14, -15, -13, -29, -8, 1, 2, 5, 9, 43, 56, 
##     62, 66, 73, 81, 87, 81, 93, 103, 117, 128, 141, 147, 164, 
##     170, 189, 193, 157, 130, 128, 158, 194, 196, 149, 136, 140, 
##     158, 141, 134, 133, 139, 120, 111, 83, 80, 77, 61, 47, 45, 
##     55, 46, 39, 38, 10, -5, -16, -19, -26, -45, -75, -52, -52, 
##     -44, -48, -54, -49, -51, -50, -49, -51, -18, 6, 58, 91, 114, 
##     129, 120, 134, 142, 142, 138, 153, 172, 171, 127, 135, 158, 
##     174, 195, 199, 198, 195, 171, 172, 156, 156, 152, 144, 151, 
##     157, 155, 136, 113, 112, 88, 87, 111, 115, 140, 140, 162, 
##     154, 138, 160, 169, 180, 181, 171, 163, 150, 155, 146, 135, 
##     117, 97, 57, 53, -4, -10, -15, -70, -64, -59, -44, -44, -26, 
##     -18, 2, 15, 37, 56, 71, 86, 105, 129, 137, 146, 151, 160, 
##     176, 180, 170, 142, 138, 129, 109, 112, 128, 143, 175, 150, 
##     154, 146, 133, 133, 129, 119, 110, 86, 64, 50, 19, 14, 4, 
##     4, -15, -23, -28, -40, -46, -70, -70, -70, -59, -59, -53, 
##     -53, -53, -51, -50, -46, -46, -46, -38, -26, 102, 97, 101, 
##     105, 97, 103, 95, 82, 68, 52, 39, 33, 26, 2, 2, -4, 1, -3, 
##     -12, -16, -8, 3, -10, -32, -46, -38, -33, -26, -27, -25, 
##     -24, -28, -31, -30, -2, 3, 8, 19, 28, 41, 53, 70, 65, 72, 
##     78, 79, 90, 111, 123, 126, 123, 131, 156, 139, 134, 111, 
##     103, 79, 75, 75, 69, 39, 34, 29, 8, 1, -10, -14, -29, -14, 
##     11, -74, -33, -54, -44, -44, -39, -38, -25, -8, 18, 14, 22, 
##     36, 33, 36, 54, 61, 79, 84, 103, 106, 101, 88, 106, 112, 
##     116, 115, 122, 125, 135, 110, 108, 101, 103, 93, 81, 77, 
##     70, 69, 74, 52, 40, 34, 51, 55, 28, 0, 4, -28, 26, 25, 12, 
##     -20, -24, -27, -32, -35, -41, -37, -23, -23, -27, -13, -13, 
##     0, 8, 16, 16, 36, 37, 39, 43, 48, 55, 63, 79, 68, 90, 118, 
##     130, 114, 113, 125, 165, 174, 174, 173, 161, 129, 124, 131, 
##     123, 112, 113, 107, 97, 88, 94, 98, 79, 71, 57, 70, 35, 34, 
##     19, 7, 23, 23, 9, 19, 6, 9, -23, -19, -8, 4, 9, -3, -5, 1, 
##     1, 0, -1, 1, -1, -1, -7, -3, -5, -1, -1, 4, -2, 3, 2, 0, 
##     -9, -6, -13, -10, -7, -9, -9, -16, -18, -18, -31, -31, -33, 
##     -40, -47, -38, -32, -38, -38, -40, -47, -50, -49, -52, -49, 
##     -45, -40, -37, -29, -28, -28, -32, -35, -36, -34, -22, -24, 
##     -27, -32, -29, -30, -22, -25, -32, -32, -32, -27, -34, -31, 
##     -25, -42, -41, -43, -41, -32, -29, -20, -20, -18, -23, -20, 
##     -23, -53, -49, -32, -37, -31, -37, -14, -32, -25, -19, -22, 
##     -14, -18, -28, -17, -18, -21, -23, -34, -34, -36, -37, -34, 
##     -25, -30, -29, -18, -25, -22, -23, -20, -19, -40, -43, -61, 
##     -55, -54, -43, -40, -39, -17, -23, -35, -37, -37, -32, -32, 
##     -22, -31, -21, -11, -19, -16, -25, -24, -17, -20, -25, -25, 
##     -18, -20, -28, -38, -37, -34, -26, -37, -31, -27, -34, -32, 
##     -21, -29, -28, -14, -15, -14, -39, -47, -68, -61, -58, -39, 
##     -44, -33, 4, -3, -10, -37, -26, -9, -27, -25, -5, -10, -17, 
##     -14, -16, -37, -43, -40, -30, 2, -22, -16, 29, 31, 17, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, -3, 
##     -31, -26, -26, -26, -26, -26, -26, -25, -26, -35, -35, -41, 
##     -38, -38, -38, -34, -41, -46, -39, -41, -72, -44, -56, -70, 
##     -68, -70, -70, -70, -83, -77, -81, -81, -73, -67, -64, -60, 
##     -61, -58, -51, -28, -90, -31, -12, -11, -13, -17, -2, 2, 
##     6, 17, 13, 21, 23, 20, 18, 16, 43, 42, 37, 40, 26, 27, 26, 
##     34, 35, 35, 28, 31, 25, 23, 20, 17, 15, 13, 10, 5, 2, -1, 
##     -9, -15, -25, -24, -25, -41, -39, -49, -46, -43, -45, -65, 
##     -49, -43, -65, -56, -54, -72, -77, -69, -72, -67, -61, -79, 
##     -87, -66, -63, -58, -55, -51, -76, -66, -48, -44, -36, -38, 
##     -47, -36, -42, -63, -1, -9, -17, -5, -6, -1, 1, 22, 10, 12, 
##     9, 15, 17, 31, 33, 50, 48, 24, 27, 34, 32, 22, 16, 0, -1, 
##     0, 0, -11, -11, -17, -18, -32, -38, -39, -48, -55, -63, -65, 
##     -77, -83, -84, -103, -97, -99, -107, -100, -108, -112, -107, 
##     -110, -117, -122, -111, -101, -98, -75, -78, -69, -50, -45, 
##     -32, -32, -33, -33, -33, -33, -33, -33, -33, -31, -17, -8, 
##     8, 18, 9, -4, -21, -23, -25, -13, 8, 18, 24, 27, 22, 24, 
##     27, 26, 24, 34, 39, 34, 36, 28, 23, 32, 14, 1, -43, -49, 
##     -45, -53, -55, -48, -64, -65, -73, -86, -89, -65, -74, -77, 
##     -84, -104, -105, -96, -106, -104, -106, -111, -105, -100, 
##     -102, -99, -93, -82, -61, -87, -74, -55, -42, -41, -35, -27, 
##     -26, -23, -23, -14, -18, -1, 6, 12, 10, 5, 22, 19, 15, 9, 
##     6, 16, 40, 46, 48, 48, 51, 61, 48, 37, 28, 21, 15, 16, 18, 
##     16, 14, 9, 3, 7, -1, -3, -5, -45, -59, -52, -52, -56, -56, 
##     -63, -92, -96, -71, -113, -119, -117, -128, -138, -123, -108, 
##     -129, -137, -118, -113, -104, -99, -108, -81, -93, -87, -68, 
##     -43, -48, -37, -25, -37, -22, -6, 2, 4, -7, -8, 18, 22, 33, 
##     32, 41, 24, 23, 21, 16, 49, 32, 25, 22, 25, 10, 6, -12, -18, 
##     2, -17, -16, -25, -33, -34, -45, -41, -43, -49, -41, -48, 
##     -56, -93, -98, -95, -88, -89, -103, -6, -2, -2, 4, 12, 23, 
##     12, 12, 8, 15, 19, 30, 41, 35, 40, 38, 40, 39, 31, 28, 28, 
##     24, 19, 16, 10, 8, -11, -11, -7, -4, -7, -26, -32, -40, -48, 
##     -51, -57, -62, -58, -78, -71, -61, -71, -84, -84, -98, -104, 
##     -89, -100, -101, -100, -91, -99, -75, -68, -71, -72, -71, 
##     -72, -15, -13, -22, -21, -7, -5, -6, 13, 26, 21, 35, 36, 
##     51, 53, 31, 35, 36, 33, 28, 22, 18, 6, -8, 8, -28, -20, -25, 
##     -30, -27, -25, -27, -41, -51, -48, -53, -63, -59, -55, -62, 
##     -85, -114, -114, -105, -74, -77, -81, -69, -64, -69, -71, 
##     -49, -44, -42, -58, -51, -41, -43, -36, -28, 4, 3, -9, -9, 
##     -14, 1, 5, 0, 3, 19, 33, 38, 25, 15, 20, 16, 23, 58, 53, 
##     50, 30, 21, 18, 16, 9, 8, 3, 2, -2, -3, -15, -24, -32, -39, 
##     -38, -38, -42, -47, -47, -41, -41, -49, -62, -93, -77, -44, 
##     -25, -43, -83, -71, -47, -89, -83, -69, -69, -91, -80, -75, 
##     -65, -67, -66, -63, -62, -60, -56, -71, -61, -71, -79, -84, 
##     -83, -74, -72, -71, -72, -83, -86, -89, -82, -79, -62, -72, 
##     -83, -81, -70, -63, -83, -90, -89, -60, -44, -31, -15, -20, 
##     -51, -45, -45, -45, -47, -52, -56, -62, -64, -59, -58, -54, 
##     -58, -55, -51, -50, -53, -55, -55, -56, -56, -57, 16, 17, 
##     18, 17, 16, 19, 18, 14, 12, 15, 18, 11, 12, 11, 17, 19, 15, 
##     17, 27, 34, 35, 31, 43, 47, 68, 62, 54, 80, 91, 91, 101, 
##     105, 108, 111, 111, 94, 93, 88, 84, 76, 72, 74, 71, 69, 55, 
##     52, 51, 50, 46, 46, 39, 40, 45, 27, 31, 46, 62, 63, 63, 69, 
##     70, 92, 92, 93, 97, 101, 101, 109, 95, 95, 97, 106, 103, 
##     95, 74, 70, 64, 55, 52, 45, 58, 48, 34, 35, 36, 32, 28, 30, 
##     60, 60, 62, 62, 48, 45, 49, 32, 26, 28, 33, 36, 40, 39, 40, 
##     44, 62, 63, 87, 91, 95, 92, 88, 87, 111, 115, 114, 115, 115, 
##     113, 99, 99, 98, 98, 96, 92, 89, 83, 81, 78, 71, 63, 57, 
##     64, 64, 53, 47, 54, 35, 34, 43, 40, 26, 37, 33, 33, 39, 45, 
##     51, 64, 89, 98, 96, 95, 92, 92, 94, 94, 93, 109, 125, 124, 
##     103, 99, 101, 102, 104, 89, 86, 81, 70, 71, 59, 65, 67, 66, 
##     54, 52, 62, 58, 41, 48, 38, 44, 42, 36, 27, 53, 60, 61, 60, 
##     75, 79, 84, 83, 92, 100, 91, 82, 84, 89, 104, 104, 102, 111, 
##     118, 95, 103, 102, 97, 93, 82, 78, 62, 57, 60, 52, 47, 44, 
##     41, 30, 43, 31, 26, 21, 27, 33, 38, 36, 38, 51, 58, 69, 76, 
##     71, 94, 89, 86, 89, 103, 98, 104, 114, 105, 91, 97, 99, 97, 
##     93, 88, 84, 76, 58, 63, 62, 55, 49, 57, 46, 34, 38, 33, 27, 
##     25, 35, 33, 35, 44, 46, 52, 58, 58, 67, 75, 92, 98, 99, 67, 
##     69, 70, 80, 86, 85, 88, 89, 88, 90, 93, 100, 108, 119, 122, 
##     107, 93, 93, 95, 93, 94, 89, 84, 82, 58, 61, 63, 65, 60, 
##     61, 53, 52, 47, 47, 44, 45, 40, 32, 33, 40, 42, 42, 48, 43, 
##     52, 60, 57, 71, 75, 80, 83, 86, 89, 91, 94, 92, 90, 93, 106, 
##     114, 124, 124, 105, 99, 96, 104, 96, 94, 91, 84, 68, 71, 
##     76, 76, 80, 75, 60, 57, 50, 53, 49, 45, 55, 50, 43, 41, 46, 
##     39, 39, 39, 36, 36, 36, 36, 34, 34, 34, 34, 30, 24, 23, 23, 
##     23, 23, 23, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 21, 27, 
##     31, 24, 22, 47, 47, 44, 35, 27, 32, 32, 24, 25, 29, 29, 29, 
##     25, 23, 23, 23, 25, 22, 23, 23, 21, 24, 23, 22, 22, 22, 22, 
##     23, 23, 23, 24, 24, 24, 24, 162, 160, 160, 161, 159, 159, 
##     157, 163, 159, 155, 153, 148, 152, 149, 144, 148, 153, 154, 
##     141, 142, 150, 152, 146, 151, 149, 149, 162, 166, 166, 166, 
##     161, 157, 160, 159, 151, 148, 146, 150, 148, 143, 142, 148, 
##     144, 149, 154, 144, 134, 135, 138, 147, 145, 139, 139, 151, 
##     152, 142, 144, 146, 146, 146, 146, 142, 144, 145, 146, 145, 
##     145, 144, 145, 144, 144, 143, 144, 149, 149, 147, 146, 146, 
##     150, 148, 150, 148, 150, 151, 148, 150, 148, 145, 149, 145, 
##     149, 148, 150, 149, 148, 149, 153, 154, 153, 152, 149, 147, 
##     145, 148, 136, 141, 152, 148, 146, 145, 135, 146, 148, 151, 
##     154, 137, 139, 132, 126, 135, 131, 135, 137, 137, 142, 143, 
##     133, 134, 134, 138, 135, 136, 138, 135, 134, 130, 139, 145, 
##     137, 134, 128, 122, 108, 135, 178, 183, 168, 188, 187, 221, 
##     225, 219, 228, 183, 182, 173, 204, 233, 229, 240, 243, 262, 
##     271, 277, 199, 193, 165, 161, 164, 83, 58, 91, 129, 128, 
##     131, 78, 100, 116, 140, 151, 179, 196, 224, 233, 246, 196, 
##     182, 276, 268, 228, 243, 256, 264, 264, 223, 183, 182, 132, 
##     151, 127, 121, 113, 156, 195, 134, 127, 148, 190, 201, 202, 
##     212, 204, 202, 208, 206, 211, 179, 218, 233, 291, 243, 197, 
##     189, 198, 203, 217, 238, 246, 252, 229, 223, 219, 201, 192, 
##     179, 165, 167, 181, 190, 229, 47, -7, 40, 77, 79, 135, 181, 
##     197, 178, 124, 110, 137, 172, 177, 188, 203, 203, 197, 217, 
##     219, 211, 202, 190, 193, 234, 261, 264, 238, 247, 254, 268, 
##     265, 247, 221, 208, 192, 176, 181, 155, 152, 136, 158, 167, 
##     97, 120, 163, 169, 146, 141, 139, 158, 144, 154, 173, 182, 
##     186, 200, 215, 199, 223, 226, 237, 249, 235, 219, 233, 207, 
##     188, 204, 218, 239, 228, 235, 215, 219, 233, 235, 234, 223, 
##     203, 195, 172, 156, 187, 141, 99, 106, 178, 183, 166, 122, 
##     124, 152, 152, 183, 201, 203, 199, 198, 198, 190, 186, 187, 
##     201, 204, 216, 216, 219, 183, 201, 206, 230, 246, 244, 209, 
##     202, 199, 188, 132, 204, 217, 242, 255, 240, 223, 216, 226, 
##     216, 203, 198, 173, 181, 178, 171, 154, 209, 176, 104, 91, 
##     86, 101, 156, 151, 137, 137, 136, 135, 144, 162, 219, 216, 
##     210, 259, 227, 242, 249, 256, 242, 247, 235, 217, 204, 161, 
##     90, 89, 91, 90, 90, 88, 89, 89, 91, 90, 94, 103, 96, 100, 
##     107, 110, 114, 124, 126, 125, 119, 119, 120, 124, 120, 117, 
##     129, 125, 120, 127, 135, 130, 129, 131, 134, 130, 129, 132, 
##     128, 125, 126, 130, 131, 122, 117, 121, 113, 121, 113, 117, 
##     109, 105, 107, 102, 102, 104, 99, 97, 90, 96, 96, 90, 90, 
##     93, 96, 96, 89, 82, 91, 91, 89, 87, 87, 87, 86, 88, 89, 89, 
##     93, 87, 88, 89, 116, 117, 111, 114, 114, 119, 114, 122, 127, 
##     130, 131, 141, 134, 134, 136, 135, 132, 130, 134, 122, 119, 
##     123, 118, 121, 114, 112, 117, 118, 97, 115, 99, 91, 93, 93, 
##     96, 98, 94, 88, 87, 89, 92, 95, 92, 91, 89, 90, 88, 95, 98, 
##     87, 92, 115, 117, 105, 112, 115, 118, 120, 113, 121, 127, 
##     124, 119, 124, 127, 134, 145, 144, 143, 139, 134, 130, 126, 
##     128, 130, 135, 134, 138, 121, 126, 121, 116, 115, 94, 101, 
##     112, 104, 101, 103, 106, 100, 100, 102, 99, 98, 96, 100, 
##     100, 98, 99, 96, 96, 100, 100, 101, 103, 104, 108, 115, 117, 
##     122, 140, 138, 139, 140, 137, 125, 139, 150, 151, 152, 150, 
##     152, 155, 162, 168, 167, 163, 163, 166, 172, 178, 175, 172, 
##     168, 162, 159, 153, 149, 145, 142, 140, 133, 131, 132, 139, 
##     136, 137, 138, 132, 95, 102, 105, 104, 94, 78, 82, 88, 38, 
##     39, 36, 41, 45, 53, 60, 70, 74, 72, 77, 73, 82, 87, 91, 90, 
##     96, 100, 106, 108, 108, 106, 106, 108, 107, 99, 94, 95, 104, 
##     98, 103, 105, 101, 90, 90, 90, 90, 54, 60, 64, 57, 49, 61, 
##     59, 60, 59, 43, 40, 34, 35, 38, 42, 41, 40, 35, 32, 32, 33, 
##     41, 56, 39, 53, 46, 45, 48, 53, 53, 55, 61, 80, 92, 98, 112, 
##     148, 158, 177, 197, 206, 198, 199, 208, 213, 230, 231, 248, 
##     244, 247, 123, 115, 108, 106, 106, 94, 92, 89, 87, 84, 71, 
##     53, 37, 34, 41, 56, 66, 69, 67, 55, 51, 49, 48, 50, 70, 70, 
##     82, 90, 91, 144, 154, 164, 172, 184, 212, 203, 216, 210, 
##     205, 222, 219, 219, 258, 256, 258, 257, 253, 256, 277, 281, 
##     283, 279, 273, 267, 210, 205, 186, 192, 203, 200, 174, 158, 
##     153, 148, 149, 148, 126, 124, 121, 115, 112, 103, 91, 77, 
##     80, 89, 99, 82, 75, 69, 42, 44, 70, 78, 73, 48, 51, 54, 55, 
##     56, 54, 50, 49, 72, 81, 238, 247, 248, 250, 252, 245, 247, 
##     241, 242, 242, 245, 224, 215, 206, 147, 137, 139, 117, 100, 
##     92, 89, 84, 86, 94, 117, 127, 140, 148, 155, 167, 178, 182, 
##     184, 191, 197, 200, 208, 226, 232, 239, 273, 265, 263, 261, 
##     264, 270, 270, 270, 272, 268, 268, 254, 253, 243, 217, 200, 
##     200, 191, 180, 174, 170, 163, 158, 158, 153, 148, 131, 83, 
##     85, 82, 79, 78, 80, 81, 81, 73, 76, 73, 72, 71, 71, 67, 63, 
##     49, 45, 37, 32, -33, -172, -163, -179, -172, -164, -167, 
##     -168, -173, -165, -157, -71, -62, -83, -78, -60, -33, -32, 
##     -58, -84, -81, 8, -24, -32, -22, -20, 10, -20, -31, -29, 
##     -34, -49, -115, -98, -52, -11, 12, -39, -33, -13, -9, -39, 
##     -6, -1, -7, -6, -18, -54, -69, -67, -78, -87, -78, -83, -91, 
##     -83, -108, -120, -145, -98, -120, -104, -11, -43, -71, -94, 
##     -115, -138, -144, -152, -140, -96, -89, -52, -46, -76, -75, 
##     -46, -62, -40, -46, -14, -30, -14, -1, -2, -3, -13, 7, 9, 
##     -37, 3, 15, 11, -12, -19, -19, -28, -31, -48, -54, -55, -55, 
##     -68, -76, -80, -77, -78, -77, -69, -121, -93, -89, -95, -91, 
##     -67, -75, -89, -101, -101, -137, -130, -124, -149, -139, 
##     -182, -77, -80, -45, -113, -92, -68, -91, -63, -53, -126, 
##     -131, -136, -142, -142, -135, -147, -146, -140, -150, -174, 
##     -98, -108, -68, -83, -101, -68, -99, -9, -65, -93, -65, -104, 
##     -121, -121, -93, -72, -37, -5, -2, -54, -68, -116, -143, 
##     -169, -176, -161, -182, -93, -69, -40, -53, -45, -44, -59, 
##     -81, -65, -32, -18, -46, -97, -48, -28, 7, -12, -10, -6, 
##     1, -40, 5, 9, -45, -60, -59, -44, -69, -66, -52, -69, -10, 
##     14, -15, -75, -88, -96, -102, -108, -111, -93, -98, -91, 
##     -64, -51, -77, -79, -93, -86, -129, -130, -129, -120, -106, 
##     -148, -117, -85, -99, -88, -27, -82, -55, -37, -11, -18, 
##     43, 79, 43, -40, -29, 189, 192, 170, 168, 106, 99, 123, 150, 
##     132, 134, 125, 131, 135, 141, 137, 126, 123, 137, 156, 158, 
##     142, 136, 142, 142, 140, 142, 135, 129, 145, 145, 149, 149, 
##     151, 145, 143, 153, 143, 147, 151, 147, 146, 147, 148, 147, 
##     148, 147, 144, 146, 144, 142, -125, -124, -107, -86, -102, 
##     -108, -97, -121, -94, -74, -64, -67, -60, -69, -71, -65, 
##     -59, -37, -58, -43, -24, 162, 132, 117, 122, 112, 133, 124, 
##     137, 135, 120, 114, 132, 139, 137, 146, 160, 188, 201, 214, 
##     215, 203, 207, 224, 232, 200, 265, 252, 247, 230, 214, 217, 
##     231, 228, 225, 191, 166, 175, 189, 151, 159, 154, 164, 139, 
##     143, 146, 146, 155, 144, 150, 143, 134, 234, 234, 249, 223, 
##     215, 214, 161, 179, 169, 179, 155, 153, 177, 151, 110, 111, 
##     161, 166, 151, 179, 157, 134, 128, 176, 172, 185, 150, 146, 
##     145, 144, 143, 142, 139, 140, 142, 148, 148, 143, 140, 141, 
##     146, 149, 143, 148, 140, 142, 145, 146, 148, 147, 144, 141, 
##     142, 142, 151, 29, 27, 24, 22, 22, 24, 23, 26, 25, 20, 25, 
##     25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 110, 107, 91, 
##     95, 78, 75, 68, 60, 55, 60, 48, 45, 46, 50, 40, 39, 45, 51, 
##     48, 40, 49, 53, 53, 53, 37, 40, 46, 57, 66, 70, 69, 71, 87, 
##     92, 92, 98, 97, 91, 86, 94, 96, 101, 106, 112, 111, 95, 101, 
##     91, 73, 67, -42, -50, -87, -67, -71, -101, -100, -139, -139, 
##     -141, -135, -83, -79, -70, -37, -37, -52, -71, -68, -74, 
##     -75, -63, -58, -72, -32, -24, -8, -1, 46, 14, -36, -53, 20, 
##     26, 8, -8, -19, -12, -7, -11, -10, -7, -3, -18, -28, -46, 
##     -51, -69, -56, -51, -29, -89, -75, -8, -9, -24, -44, -57, 
##     -45, -35, -13, -21, -26, -23, -54, -68, -69, -108, -104, 
##     -107, -118, -99, -83, -100, -127, -115, -108, -101, -111, 
##     -123, -100, -103, -122, -39, -2, -35, -85, -101, -156, -167, 
##     -149, -176, -130, -92, -42, -74, -53, -67, -97, -66, -60, 
##     -18, -24, 10, 3, 2, -4, 13, 3, 11, -27, -7, 24, 0, -16, -6, 
##     -21, -31, -120, -153, -135, -189, -181, -168, -37, -43, -29, 
##     -26, -29, -32, -41, -2, 2, 25, 35, 43, 37, 32, 72, 91, 104, 
##     106, 100, 111, 108, 102, 111, 125, 140, 129, 133, 142, 140, 
##     136, 113, 109, 103, 97, 91, 86, 88, 84, 58, 61, 63, 47, 56, 
##     24, 6, 22, -38, -17, -4, -6, -6, -47, -8, 57, 53, 65, 79, 
##     101, 98, 84, 96, 111, 119, 139, 155, 159, 180, 177, 163, 
##     152, 145, 121, 116, 74, 60, 63, 35, 18, 26, 18, 18, 1, -32, 
##     -13, -17, -27, -19, -27, -28, -25, -26, -25, -23, -3, 46, 
##     61, 68, 100, 120, 129, 125, 116, 231, 222, 253, 252, 236, 
##     241, 237, 243, 214, 215, 213, 200, 99, 99, 92, 87, 77, 67, 
##     57, 58, 70, 66, 62, 54, 42, 38), accel_dumbbell_z = c(-271, 
##     -269, -270, -269, -270, -269, -270, -272, -269, -270, -269, 
##     -270, -269, -268, -270, -271, -272, -268, -271, -272, -269, 
##     -270, -270, -271, -271, -271, -270, -271, -271, -270, -271, 
##     -269, -272, -271, -270, -271, -270, -270, -271, -271, -271, 
##     -269, -269, -270, -272, -272, -269, -269, -267, -268, -271, 
##     -269, -268, -268, -266, -270, -269, -269, -268, -270, -268, 
##     -270, -269, -270, -269, -268, -271, -268, -268, -269, -267, 
##     -268, -269, -271, -272, -269, -270, -270, -270, -268, -268, 
##     -269, -271, -270, -271, -269, -270, -270, -269, -270, -271, 
##     -270, -270, -269, -272, -271, -271, -271, -271, -269, -270, 
##     -273, -271, -272, -271, -270, -270, -269, -270, -272, -271, 
##     -273, -270, -273, -272, -269, -271, -272, -272, -270, -271, 
##     -270, -270, -271, -271, -271, -270, -270, -272, -272, -272, 
##     -272, -272, -272, -272, -272, -272, -272, -272, -272, -272, 
##     -272, -272, -272, -272, -272, -272, -272, -272, -272, -272, 
##     -26, -26, -25, -18, -18, -19, -22, -26, -26, -26, -19, -10, 
##     -11, -15, 13, 15, 22, 35, 37, 45, 75, 73, 79, 87, 72, 110, 
##     110, 108, 104, 101, 81, 88, 93, 100, 101, 102, 85, 86, 84, 
##     86, 86, 87, 86, 88, 86, 86, 87, 96, 98, 100, 99, 94, 93, 
##     95, 98, 94, 94, 102, 100, 99, 102, 98, 101, 100, 96, 92, 
##     93, 90, 93, 94, 93, 93, 96, 94, 96, 88, 96, 99, 97, 98, 100, 
##     96, 98, 98, 100, 97, 100, 98, 101, 96, 97, 100, 97, 99, 97, 
##     99, 104, 101, 96, 99, 99, 95, 102, 100, 99, 95, 98, 97, 99, 
##     98, 96, 98, 100, 96, 98, 96, 99, 97, 95, 96, 97, 97, 96, 
##     94, 94, 94, 97, 96, 96, 95, 96, 95, 93, 93, 95, 98, 98, 92, 
##     96, 94, 96, 96, 94, 97, 95, 99, 91, 98, 97, 99, 89, 95, 95, 
##     96, 96, 94, 99, 92, 95, 100, 89, 86, 85, 86, 82, 76, 77, 
##     65, 71, 66, 61, 52, 54, 45, 45, 49, 60, 57, 63, 71, 75, 75, 
##     67, 82, 83, 74, 80, 78, 82, 85, 87, 68, 89, 94, 79, 90, 85, 
##     85, 83, 82, 80, 93, 90, 86, 90, 96, 98, 99, 99, 93, 96, 99, 
##     96, 101, 99, 98, 100, 96, 103, 97, 93, 100, 98, 88, 90, 82, 
##     92, 74, 90, 82, 86, 87, 85, 90, 83, 85, 76, 70, 78, 82, 76, 
##     91, 84, 76, 94, 81, 85, 94, 87, 88, 92, 94, 89, 93, 98, 94, 
##     91, 82, 82, 80, 72, 76, 68, 63, 59, 56, 57, 57, 53, 52, 48, 
##     54, 59, 56, 61, 65, 85, 78, 67, 71, 78, 71, 79, 91, 75, 87, 
##     61, 73, 89, 89, 75, 92, 93, 92, 79, 85, 96, 96, 83, 74, 81, 
##     79, 90, 82, 91, 99, 88, 88, 84, 88, 89, 80, 87, 80, 82, 84, 
##     91, 95, 99, 95, 91, 91, 88, 90, 92, 92, 85, 78, 80, 75, 65, 
##     66, 54, 58, 51, 49, 48, 45, 46, 50, 43, 51, 51, 48, 44, 57, 
##     61, 79, 68, 77, 71, 93, 76, 73, 81, 91, 94, 92, 96, 99, 93, 
##     87, 91, 91, 90, 89, 91, 90, 68, 53, 54, 53, 54, 51, 48, 45, 
##     43, 46, 44, 60, 66, 69, 67, 83, 88, 80, 67, 76, 79, 84, 87, 
##     82, 82, 82, 92, 91, 84, 84, 86, 87, 79, 90, 84, 77, 83, 91, 
##     95, 89, 91, 90, 90, 91, 92, 93, 88, 96, 92, 90, 90, 96, 85, 
##     85, 76, 75, 69, 70, 65, 66, 59, 63, 58, 45, 56, 61, 79, 72, 
##     75, 73, 84, 78, 71, 78, 81, 77, 79, 88, 73, 79, 73, 70, 64, 
##     50, 51, 49, 40, 42, 49, 49, 57, 64, 56, 73, 57, 78, 79, 65, 
##     83, 75, 65, 80, 75, 74, 75, 72, 70, 82, 95, 82, 88, 97, 90, 
##     84, 79, 77, 74, 68, 60, 55, 56, 56, 50, 38, 49, 53, 57, 62, 
##     77, 79, 71, 84, 79, 78, 80, 84, 81, 78, 52, 51, 47, 44, 39, 
##     56, 50, 49, 45, 51, 62, 78, 52, 70, 77, 56, 62, 77, 84, 84, 
##     63, 87, 72, 85, 77, 81, 83, 79, 79, 81, 80, 78, 85, 82, 78, 
##     82, -154, -152, -150, -152, -151, -152, -152, -151, -149, 
##     -148, -155, -152, -152, -154, -156, -155, -154, -152, -153, 
##     -153, -152, -155, -157, -154, -157, -151, -154, -157, -157, 
##     -157, -155, -154, -156, -153, -152, -156, -157, -160, -160, 
##     -160, -161, -164, -165, -158, -164, -161, -161, -168, -162, 
##     -165, -168, -167, -165, -168, -168, -166, -163, -164, -168, 
##     -168, -167, -167, -169, -167, -167, -164, -166, -165, -165, 
##     -160, -161, -164, -162, -163, -162, -158, -161, -160, -159, 
##     -156, -154, -160, -163, -155, -152, -157, -155, -154, -158, 
##     -157, -160, -159, -156, -157, -159, -155, -155, -155, -153, 
##     -158, -153, -154, -157, -153, -157, -157, -156, -146, -150, 
##     -151, -156, -152, -152, -155, -153, -153, -152, -148, -149, 
##     -153, -148, -151, -153, -149, -151, -153, -155, -150, -150, 
##     -154, -153, -154, -152, -152, -157, -158, -158, -153, -153, 
##     -155, -156, -156, -155, -158, -154, -153, -153, -156, -158, 
##     -156, -155, -153, -159, -157, -159, -159, -155, -157, -157, 
##     -155, -155, -152, -155, -158, -151, -151, -157, -152, -157, 
##     -151, -152, -158, -155, -155, -154, -155, -152, -154, -157, 
##     -151, -153, -152, -152, -154, -160, -157, -154, -152, -154, 
##     -156, -154, -150, -159, -157, -156, -150, -151, -153, -152, 
##     -151, -148, -147, -148, -150, -151, -151, -152, -154, -3, 
##     -1, 2, 2, 6, 3, 13, 15, 17, 19, 22, 23, 20, 26, 25, 22, 21, 
##     26, 38, 16, 17, 26, 25, 25, -150, -147, -148, -151, -150, 
##     -150, -151, -153, -148, -147, -152, -149, -157, -153, -147, 
##     -147, -155, -149, -156, -154, -146, -145, -146, -145, -148, 
##     -145, -141, -143, -146, -149, -153, -153, -158, -153, -155, 
##     -159, -157, -154, -153, -158, -162, -162, -160, -159, -149, 
##     -152, -151, -150, -149, -148, -147, -147, -149, -149, -146, 
##     -153, -154, -152, -151, -149, -149, -147, -158, -155, -156, 
##     -158, -158, -160, -164, -166, -167, -168, -168, -169, -168, 
##     -167, -165, -162, -168, -161, -163, -162, -164, -165, -165, 
##     -164, -170, -169, -166, -167, -166, -164, -162, -165, -169, 
##     -171, -157, -159, -165, -144, -146, -146, -148, -145, -144, 
##     -134, -135, -137, -139, -142, -145, -142, -144, -145, -144, 
##     -142, -142, -139, -141, -140, -138, -137, -137, -138, -139, 
##     -137, -138, -141, -144, -145, -136, -137, -138, -140, -143, 
##     -144, -148, -147, -150, -157, -149, -151, -147, -153, -148, 
##     -155, -150, -147, -145, -148, -152, -148, -145, -146, -147, 
##     -149, -152, -153, -148, -146, -146, -146, -148, -148, -144, 
##     -148, -153, -149, -147, -146, -147, -147, -145, -148, -145, 
##     -146, -145, -145, -149, -146, -148, -150, -149, -146, -152, 
##     -154, -153, -146, -147, -148, -147, -146, -147, -148, -148, 
##     -147, -145, -146, -143, -143, -143, -141, -140, -141, -140, 
##     -143, -145, -141, -139, -138, -139, -138, -137, -131, -133, 
##     -137, -142, -142, -145, -143, -139, -141, -137, -142, -151, 
##     -139, -140, -137, -129, -135, -138, -107, -145, -139, -141, 
##     -126, -124, -118, -114, -121, -124, -120, -116, -121, -117, 
##     -115, -120, -122, -126, -127, -122, -133, -133, -128, -131, 
##     -128, -119, -121, -132, -120, -131, -131, -141, -148, -143, 
##     -151, -146, -153, -157, -157, -163, -168, -170, -168, -165, 
##     -167, -169, -143, -148, -146, -131, -136, -131, -130, -141, 
##     -137, -127, -133, -134, -131, -125, -134, -123, -121, -129, 
##     -133, -128, -124, -127, -125, -127, -122, -118, -119, -122, 
##     -118, -126, -129, -124, -120, -118, -129, -113, -129, -116, 
##     -116, -116, -114, -117, -121, -118, -125, -128, -129, -134, 
##     -130, -124, -137, -135, -137, -137, -142, -144, -146, -150, 
##     -151, -152, -157, -156, -158, -164, -160, -164, -162, -164, 
##     -162, -165, -167, -169, -173, -170, -141, -132, -140, -129, 
##     -138, -133, -134, -125, -127, -127, -127, -131, -125, -119, 
##     -122, -119, -114, -117, -120, -120, -118, -114, -116, -118, 
##     -116, -119, -124, -122, -115, -124, -131, -128, -121, -120, 
##     -125, -121, -129, -128, -126, -130, -139, -147, -144, -144, 
##     -153, -149, -153, -161, -156, -160, -164, -173, -173, -171, 
##     -174, -176, -173, -171, -169, -171, -167, -160, -158, -162, 
##     -149, -147, -147, -140, -145, -141, -142, -139, -140, -134, 
##     -134, -143, -135, -142, -139, -119, -124, -131, -131, -120, 
##     -112, -113, -136, -117, -119, -122, -124, -122, -122, -119, 
##     -115, -128, -120, -115, -127, -127, -124, -121, -122, -126, 
##     -128, -123, -117, -124, -130, -128, -135, -138, -136, -128, 
##     -131, -132, -143, -147, -147, -149, -152, -148, -150, -154, 
##     -160, -165, -159, -162, -165, -165, -164, -164, -167, -167, 
##     -164, -167, -166, -165, -166, -164, -161, -152, -148, -145, 
##     -140, -143, -147, -138, -143, -140, -145, -140, -143, -131, 
##     -141, -143, -128, -137, -135, -129, -136, -139, -137, -134, 
##     -131, -119, -125, -129, -130, -120, -130, -133, -126, -124, 
##     -122, -125, -123, -124, -127, -122, -120, -123, -131, -131, 
##     -128, -133, -143, -119, -124, -125, -123, -118, -125, -124, 
##     -123, -126, -125, -122, -134, -136, -142, -139, -146, -143, 
##     -142, -143, -147, -148, -151, -160, -170, -162, -161, -164, 
##     -161, -165, -165, -163, -166, -160, -162, -136, -122, -122, 
##     -123, -123, -120, -121, -131, -128, -118, -122, -120, -126, 
##     -131, -121, -122, -129, -124, -134, -137, -139, -144, -137, 
##     -140, -141, -139, -147, -142, -149, -155, -160, -159, -156, 
##     -156, -162, -154, -153, -161, -161, -160, -167, -164, -164, 
##     -167, -161, -160, -166, -164, -162, -159, -161, -159, -148, 
##     -148, -146, -145, -145, -138, -142, -142, -142, -140, -136, 
##     -141, -129, -136, -139, -130, -134, -132, -138, -128, -132, 
##     -127, -118, -124, -131, -127, -130, -115, -127, -129, -123, 
##     -126, -137, -135, -128, -126, -126, -160, -162, -159, -158, 
##     -158, -160, -158, -155, -158, -155, -153, -150, -155, -155, 
##     -143, -139, -141, -140, -139, -137, -144, -147, -139, -144, 
##     -137, -134, -131, -131, -138, -127, -141, -126, -127, -132, 
##     301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 
##     301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 
##     301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 
##     301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 
##     301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 
##     -8, -9, -15, -18, -18, -35, -37, -36, -10, -24, -25, -28, 
##     -26, -25, -18, -18, -10, -11, -4, 2, 2, -7, -7, -14, -19, 
##     -3, -14, -2, -20, -8, 5, -14, -11, -7, -1, -3, -7, -1, 4, 
##     6, 9, 4, 3, -8, 1, 1, 2, 0, 3, -1, -3, -1, -11, -17, 1, 3, 
##     5, 5, 3, 5, 5, 6, 3, 1, 2, -3, -3, 4, 5, -1, 0, -1, 11, 10, 
##     4, 5, -4, -2, -1, 1, 5, 10, 3, 4, 8, 10, 8, 3, 19, 7, -13, 
##     5, 4, 15, 0, -9, -3, 12, -11, -4, 1, -1, -8, -5, -4, 3, 0, 
##     0, -1, 1, 4, 1, 6, 2, 3, 5, 5, 5, 0, 1, 4, 2, 2, 5, 8, 8, 
##     8, 8, 9, 11, 8, 8, 9, 12, 3, 5, 8, 4, 2, 6, -2, 1, 0, 0, 
##     -9, 7, 6, 10, 4, 11, 14, 13, 11, 10, 11, 12, 10, 7, 8, 9, 
##     4, 6, 5, -2, -2, 2, 2, 3, 2, 12, 16, 13, 14, 16, 14, 5, 5, 
##     8, 5, 3, 1, 5, 6, 9, 11, 6, -1, 8, 12, 6, 17, 11, 14, 10, 
##     18, 13, 11, 15, 15, 22, 17, 10, 5, 13, 11, 10, 8, 5, 9, 8, 
##     8, 10, 7, -3, 3, 3, 6, 2, 9, 12, 7, 6, 11, 9, 6, 3, 4, 4, 
##     7, 10, 10, 7, 8, -5, 3, 14, 12, 21, 19, 15, 16, 28, 18, 34, 
##     24, 13, 15, 16, 9, -12, -9, 4, 17, 19, 21, 19, 22, 23, 26, 
##     16, 23, 15, 12, 16, 29, 13, 28, 12, 24, 14, 20, 18, 17, 16, 
##     15, 12, 10, 12, 17, 12, 9, 13, 13, 12, 13, 8, 10, 12, 7, 
##     5, 13, 15, 9, 7, 5, 10, 14, 15, 10, 18, 20, 16, 10, 9, 10, 
##     8, 10, 16, 9, 9, 13, 16, 8, 5, 14, 9, 25, 35, 35, 32, 27, 
##     22, 22, 23, 28, 13, 13, 35, 11, 20, 21, 20, 21, 27, 22, 21, 
##     19, 17, 16, 15, 13, 22, 28, 16, 9, 4, 10, 13, 12, 10, 12, 
##     9, 12, 13, 10, 6, 11, 12, 7, 9, 2, 15, 16, 21, 22, 24, 23, 
##     17, 15, 13, 14, 11, 8, 13, 11, 9, 14, 23, 27, 29, 25, 25, 
##     24, 22, 9, 9, 2, 6, 3, 4, -2, -2, -1, -5, 4, 10, 8, 6, 0, 
##     -5, -1, 5, -5, -9, -4, -2, 4, -1, -3, -2, -4, -1, 0, 2, 2, 
##     -2, -1, -2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, -1, 
##     -1, 0, -2, -2, -3, -2, -4, -7, -4, -2, 0, -1, 0, -2, -1, 
##     -2, -2, -5, -5, -6, -10, -4, -1, 1, -1, -4, -6, -7, -7, -8, 
##     -15, -14, -9, -6, -9, -8, -14, -8, -14, -14, 10, 10, 9, 37, 
##     42, 50, 52, 56, 62, 63, 74, 74, 78, 79, 81, 76, 79, 87, 84, 
##     85, 87, 82, 93, 87, 78, 79, 91, 92, 95, 93, 71, 61, 28, 25, 
##     19, 15, -10, -17, -13, -17, -30, -14, -11, -5, -11, -20, 
##     -19, -17, -20, -26, -23, -26, -26, -24, -27, -23, -6, -5, 
##     -2, 13, 20, 20, 42, 70, 77, 90, 94, -224, -228, -225, -225, 
##     -226, -224, -227, -225, -221, -225, -225, -225, -226, -224, 
##     -223, -227, -225, -224, -227, -225, -226, -225, -224, -224, 
##     -223, -223, -222, -224, -224, -226, -226, -225, -222, -224, 
##     -225, -225, -226, -222, -226, -226, -224, -224, -226, -223, 
##     -225, -223, -224, -222, -224, -225, -224, -222, -223, -224, 
##     -225, -223, -223, -226, -223, -220, -218, -221, -225, -225, 
##     -224, -225, -224, -222, -223, -225, -224, -224, -223, -221, 
##     -223, -223, -223, -225, -224, -227, -228, -226, -226, -223, 
##     -220, -227, -224, -225, -225, -226, -224, -227, -225, -227, 
##     -227, -223, -226, -229, -225, -225, -225, -225, -225, -224, 
##     -224, -224, -223, -226, -226, -224, -225, -220, -223, -223, 
##     -226, -225, -223, -222, -224, -225, -224, -225, -224, -226, 
##     -224, -221, -224, -224, -225, -225, -225, -226, -223, -222, 
##     -226, -221, -222, -226, -224, -224, -223, -224, -221, -222, 
##     -224, -227, -224, -222, -225, -223, -224, -224, -222, -222, 
##     -225, -225, -223, -221, -223, -223, -223, -224, -223, -224, 
##     -223, -225, -223, -225, -220, -220, -221, -221, -222, -224, 
##     -225, -226, -222, -222, -221, -223, -224, -222, -224, -222, 
##     -221, -220, -218, -221, -224, -220, -223, -222, -219, -220, 
##     -220, -221, -222, -224, -223, -224, -227, -223, -219, -212, 
##     -217, -222, -220, -220, -216, -218, -220, -220, -218, -219, 
##     -217, -219, -216, -215, -221, -222, -205, -223, -222, -216, 
##     -209, -212, -205, -201, -200, -215, -206, -203, -202, -209, 
##     -222, -234, -233, -217, -220, -221, -208, -210, -215, -216, 
##     -215, -217, -214, -216, -217, -198, -192, -201, -220, -218, 
##     -215, -204, -209, -192, -201, -202, -202, -206, -205, -204, 
##     -204, -201, -200, -213, -207, -205, -209, -211, -201, -203, 
##     -206, -202, -204, -203, -203, -202, -205, -201, -201, -200, 
##     -202, -200, -205, -202, -200, -202, -203, -202, -200, -203, 
##     -204, -203, -197, -207, -208, -210, -199, -198, -202, -207, 
##     -203, -202, -197, -199, -200, -201, -202, -200, -200, -199, 
##     -200, -201, -201, -201, -203, -202, -200, -203, -202, -200, 
##     -203, -202, -203, -202, -202, -203, -204, -200, -203, -202, 
##     -201, -202, -200, -199, -201, -202, -201, -202, -206, -197, 
##     -197, -205, -211, -210, -202, -198, -197, -199, -202, -198, 
##     -11, -15, -17, -15, -12, -8, -8, -9, -6, 3, 0, -1, 5, 4, 
##     1, 15, 13, 7, 7, 13, 7, 15, 23, 21, 19, 23, 5, 11, 10, 8, 
##     13, 7, 7, 16, 10, 6, 12, 13, 14, 12, 6, 14, 12, 10, 11, 8, 
##     8, 9, 13, 8, 11, 7, 16, 17, 14, 20, 21, 20, 18, 20, 21, 17, 
##     16, 14, 11, 13, 10, 12, 3, 8, 8, 8, 8, 11, 5, 7, -3, -3, 
##     -2, -4, -4, -9, -27, -9, -8, -5, 4, 3, 0, -1, 10, 5, 2, 10, 
##     10, 12, 11, 10, 17, 13, 23, 18, 14, 23, 24, 21, 22, 19, 18, 
##     16, 11, 18, 13, 16, 20, 15, 9, 17, 17, 14, 10, 12, 13, 13, 
##     16, 21, 20, 22, 20, 14, 17, 19, 13, 17, 20, 20, 22, 16, 17, 
##     17, 10, 13, 15, 10, 13, 9, 3, -2, -6, -9, -10, -12, -3, -2, 
##     -4, -1, 2, 5, 13, 2, 18, 24, 9, 12, 15, 19, 23, 22, 10, 24, 
##     3, 19, 12, 17, 19, 17, 20, 13, 12, 17, 10, 12, 10, 15, 17, 
##     18, 23, 19, 17, 20, 22, 21, 14, 15, 13, 12, 21, 20, 19, 23, 
##     19, 17, 16, 7, 18, 9, 10, 9, 4, 1, -2, -5, -13, -14, -7, 
##     -3, -5, 0, -11, -6, 2, 8, 9, 13, 14, 16, 11, 17, 21, 17, 
##     13, 31, 18, 19, 25, 9, 18, 22, 19, 21, 8, 24, 22, 14, -1, 
##     3, 3, 19, 19, 13, 23, 23, 23, 23, 22, 22, 23, 17, 23, 26, 
##     22, 20, 18, 21, 23, 22, 14, 12, 6, 8, 13, 11, 3, 2, 2, -10, 
##     -13, -16, -9, -9, -7, -13, -11, 6, 20, 9, 13, 25, 8, 8, 26, 
##     15, 10, 3, 21, 8, -1, 2, 8, 24, 23, 9, 9, 13, 18, 18, 9, 
##     11, 9, 7, 18, 11, 16, 18, 18, 20, 18, 17, 14, 18, 15, 12, 
##     16, 15, 10, 12, 5, 5, 0, 4, -5, -10, -15, -14, -11, -10, 
##     -1, 6, 4, 4, 15, 10, 18, 1, 20, 24, 5, 7, 16, 25, -4, 17, 
##     10, 5, 3, 6, 15, 18, 11, 17, 5, 14, -5, 11, 10, 2, 11, 5, 
##     15, 20, 15, 16, 18, 14, 14, 13, 7, 9, 5, 8, 10, 1, 5, 3, 
##     4, -1, -18, -20, -16, -16, -25, -20, -17, -7, 0, -2, 8, 5, 
##     14, 1, 16, 2, 21, 14, 5, 6, 7, 10, 3, 8, 8, 10, 11, 14, 7, 
##     8, 12, 6, 7, 9, 13, 9, 3, 14, 12, 5, 11, 10, 10, 16, 12, 
##     14, 13, 10, 19, 19, 13, 7, 9, 7, 2, 4, 2, -3, -4, -17, -22, 
##     -6, -5, 12, 16, 18, 16, 17, 14, 11, 11, 10, 18, 14, 17, 7, 
##     5, 4, 5, -1, 2, -1, -2, -4, -6, -16, -13, -15, -22, -27, 
##     -14, -16, -13, -4, 5, -1, 0, 2, 10, 11, 5, 9, 12, 12, 22, 
##     17, 17, 14, 16, 21, 12, 7, 6, 18, 16, 6, 8, 3, 11, 11, 7, 
##     12, 11, 0, 7, 10, 16, 19, 17, 11, 15, 16, 20, 20, 19, 15, 
##     11, 11, 12, 9, 13, 18, 15, 10, 3, 9, 8, 1, 2, 1, 0, 0, -5, 
##     -6, -4, -5, -7, -15, -12, -7, -5, -11, -11, -5, 3, 1, 3, 
##     9, 5, 23, 20, 11, 21, 14, -1, 16, 16, 19, 26, 14, 12, 22, 
##     17, 13, 13, 13, 14, 18, 15, 13, 17, 16, 20, 18, 19, 19, 19, 
##     18, 20, 15, 20, 20, 13, 18, 18, 18, 17, 16, 16, 16, 18, 13, 
##     16, 17, 16, 19, 18, 17, 15, 16, 18, 16, 17, 17, 14, 16, 12, 
##     14, 14, 14, 16, 15, 11, 17, 15, 14, 13, 13, 14, 14, 14, 15, 
##     15, 15, 12, 15, 12, 13, 15, 13, 17, 18, -193, -204, -204, 
##     -203, -200, -196, -202, -208, -204, -198, -207, -208, -205, 
##     -203, -202, -199, -196, -195, -201, -207, -205, -207, -209, 
##     -203, -208, -205, -195, -209, -208, -203, -205, -201, -196, 
##     -197, -206, -208, -210, -209, -203, -200, -199, -200, -202, 
##     -204, -202, -200, -200, -208, -201, -201, -202, -202, -202, 
##     -202, -202, -203, -202, -202, -204, -202, -201, -201, -201, 
##     -201, -201, -203, -203, -205, -202, -201, -202, -201, -202, 
##     -202, -201, -201, -201, -201, -200, -202, -202, -201, -201, 
##     -202, -201, -202, -201, -201, -202, -202, -202, -202, -202, 
##     -201, -203, -195, -197, -201, -206, -208, -209, -201, -198, 
##     -202, -202, -200, -200, -199, -200, -201, -202, -202, -201, 
##     -200, -200, -199, -200, -201, -201, -201, -201, -201, -201, 
##     -201, -198, -200, -201, -201, -200, -199, -200, -202, -200, 
##     -203, -200, -201, -200, -200, -201, -200, -201, -201, -200, 
##     -201, -200, -201, -201, -201, -201, -200, -201, -202, -199, 
##     -201, -201, -197, -203, -204, -201, -200, -204, -204, -201, 
##     -203, -202, -200, -198, -195, -196, -196, -199, -199, -200, 
##     -198, -198, -200, -198, -201, -200, -200, -206, -200, -201, 
##     -202, -203, -205, -205, -198, -190, -194, -200, -203, -202, 
##     -201, -199, -201, -200, -202, -203, -207, -201, -198, -195, 
##     -198, -204, -205, -202, -202, -201, -201, -200, -201, -201, 
##     -197, -197, -198, -199, -199, -200, -204, -211, -207, -203, 
##     -202, -203, -203, -202, -203, -204, -204, -204, -203, -204, 
##     -201, -204, -204, -205, -203, -203, -203, -203, -202, -200, 
##     -199, -179, -186, -223, -213, -196, -210, -213, -204, -207, 
##     -203, -202, -205, -206, -203, -203, -203, -202, -205, -207, 
##     -202, -202, -202, -204, -204, -208, -205, -204, -202, -205, 
##     -203, -202, -203, -204, -202, -202, -202, -205, -202, -206, 
##     -203, -200, -203, -204, -202, -203, -205, -203, -201, -201, 
##     -201, -201, -202, -203, -202, -203, -204, -200, -203, -201, 
##     -204, -201, -201, -202, -202, -205, -201, -203, -205, -206, 
##     -201, -202, -199, -200, -203, -204, -201, -205, -204, -201, 
##     -199, -203, -203, -204, -211, -192, -187, -182, -192, -194, 
##     -200, -201, -200, -200, -205, -199, -199, -221, -222, -224, 
##     -220, -231, -224, -219, -235, -240, -236, -232, -231, -232, 
##     -221, -222, -220, -194, -213, -199, -237, -221, -195, -225, 
##     -194, -201, -202, -219, -197, -200, -212, -208, -199, -170, 
##     -216, -215, -217, -209, -213, -227, -205, -213, -196, -201, 
##     -194, -193, -199, -202, -197, -195, -200, -196, -201, -201, 
##     -209, -217, -219, -222, -215, -216, -222, -216, -234, -228, 
##     -233, -225, -221, -215, -215, -197, -224, -200, -216, -204, 
##     -199, -229, -202, -194, -181, -213, -198, -217, -194, -212, 
##     -195, -186, -168, -201, -217, -202, -209, -188, -200, -195, 
##     -187, -202, -191, -199, -203, -197, -204, -207, -216, -211, 
##     -225, -219, -231, -234, -225, -229, -221, -217, -218, -205, 
##     -198, -202, -217, -204, -212, -214, -220, -239, -224, -220, 
##     -210, -185, -216, -212, -217, -197, -181, -203, -206, -201, 
##     -198, -193, -209, -210, -211, -200, -191, -192, -193, -194, 
##     -200, -205, -210, -212, -218, -217, -217, -222, -225, -233, 
##     -238, -232, -223, -227, -230, -233, -229, -223, -220, -230, 
##     -213, -218, -210, -193, -205, -233, -190, -231, -202, -229, 
##     -194, -226, -215, -182, -193, -205, -226, -203, -203, -215, 
##     -206, -174, -204, -182, -195, -202, -200, -190, -200, -210, 
##     -214, -219, -232, -224, -241, -221, -221, -234, -238, -235, 
##     -239, -243, -226, -234, -213, -210, -220, -216, -229, -196, 
##     -223, -225, -189, -196, -222, -192, -178, -201, -219, -207, 
##     -200, -205, -204, -212, -208, -189, -202, -212, -198, -198, 
##     -193, -200, -198, -201, -198, -202, -206, -210, -200, -206, 
##     -216, -212, -238, -234, -228, -227, -216, -212, -220, -230, 
##     -239, -234, -227, -223, -230, -192, -237, -200, -223, -238, 
##     -206, -209, -236, -222, -191, -189, -212, -232, -195, -184, 
##     -184, -225, -220, -208, -216, -217, -211, -208, -196, -175, 
##     -176, -210, -202, -202, -195, -201, -186, -190, -191, -191, 
##     -197, -200, -207, -208, -217, -220, -218, -214, -226, -226, 
##     -224, -226, -210, -208, -237, -205, -228, -197, -197, -218, 
##     -192, -198, -195, -197, -207, -210, -213, -204, -210, -210, 
##     -195, -201, -202, -200, -202, -206, -200, -204, -205, -200, 
##     -208, -209, -206, -194, -200, -201, -206, -203, -212, -200, 
##     -202, -208, -215, -214, -229, -224, -231, -223, -225, -225, 
##     -229, -230, -230, -234, -225, -218, -218, -219, -229, -216, 
##     -207, -221, -188, -247, -230, -195, -240, -246, -189, -192, 
##     -214, -215, -220, -224, -208, -221, -198, -204, -196, -207, 
##     -202, -205, -198, -196, -204, -201, -203, -207, -209, -200, 
##     -208, -214, -207, -218, -229, -236, -233, -229, -254, -236, 
##     -216, -249, -239, -234, -226, -229, -187, -194, -191, -200, 
##     -189, -201, -213, -191, -226, -183, -211, -212, -201, -196, 
##     -202, -198, -189, -201, -198, -204, -200, -199, 314, 313, 
##     316, 318, 317, 318, 317, 316, 313, 311, 309, 310, 310, 310, 
##     310, 312, 312, 315, 317, 316, 315, 315, 313, 313, 311, 312, 
##     310, 312, 311, 312, 311, 310, 312, 307, 301, 301, 301, 301, 
##     301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 
##     301, 301, 301, 301, -132, -134, -134, -141, -142, -145, -148, 
##     -149, -147, -153, -151, -153, -158, -159, -161, -123, -121, 
##     -117, -121, -125, -125, -125, -125, -126, -123, -134, -132, 
##     -129, -128, -128, -128, -126, -130, -125, -130, -132, -133, 
##     -131, -161, -157, -139, -139, -136, -136, -140, -143, -137, 
##     -140, -138, -132, -140, -137, -135, -131, -129, -135, -116, 
##     -125, -175, -176, -175, -173, -176, -174, -168, -170, -168, 
##     -161, -159, -149, -153, -144, -149, -147, -145, -136, -135, 
##     -142, -136, -170, -170, -165, -164, -168, -160, -161, -162, 
##     -154, -151, -155, -156, -144, -143, -144, -140, -147, -144, 
##     -142, -146, -140, -132, -151, -145, -157, -161, -162, -158, 
##     -162, -161, -166, -165, -169, -158, -152, -155, -148, -153, 
##     -147, -143, -143, -144, -135, -134, -135, -135, -138, -132, 
##     -135, -140, -137, -139, -136, -138, -136, -132, -132, -130, 
##     -130, -130, -128, -126, -132, -133, -128, -134, -143, -146, 
##     -144, -141, -143, -137, -140, -144, -140, -143, -138, -139, 
##     -139, 13, 13, 13, 13, 13, 13, 15, 13, 14, 14, 15, 15, 16, 
##     15, 14, 15, 16, 16, 16, 15, 15, 14, 15, 15, 14, 15, 15, 16, 
##     13, 15, 20, 18, 19, 16, 18, 15, 16, 18, 17, 17, 15, 14, 16, 
##     17, 14, 15, 15, 14, 13, 12, 12, 13, 15, 14, 15, 16, 13, 13, 
##     15, 13, 15, 14, 14, 15, 16, 19, 26, 31, 29, 30, 30, 28, 28, 
##     27, 29, 34, 34, 23, 30, 27, 23, 18, 16, 20, 21, 13, -7, -12, 
##     -9, -11, -4, 15, 21, 14, 9, 5, 3, 5, 8, 10, 19, 18, 18, 15, 
##     14, 7, 3, 8, 11, 13, 16, 13, 11, 13, 13, 14, 13, 10, 13, 
##     16, 11, 10, 10, 9, 9, 11, 10, 9, 9, 9, 8, 10, 10, 8, 9, 8, 
##     9, 10, 10, 10, 12, 12, 8, 8, 6, 4, 5, 4, 4, 5, 8, 5, 6, 5, 
##     24, 27, 27, 24, 18, 16, 18, 26, 28, 29, 30, 28, 27, 28, 25, 
##     18, 19, 18, 18, 20, 9, 12, 19, 15, 3, 6, 18, 10, 20, 4, 4, 
##     27, 24, 26, 29, 18, 17, 42, 57, 39, 16, 13, 33, 34, 30, 31, 
##     34, 35, 33, 30, 33, 32, 26, 26, 28, 31, 31, 29, 27, 29, 31, 
##     28, 28, 30, 28, 24, 29, 27, 29, 31, 28, 30, 33, 29, 29, 31, 
##     32, 31, 28, 34, 33, 32, 33, 34, 30, 28, 37, 27, 28, 30, 33, 
##     22, 21, 23, 18, 12, 16, 14, 11, 4, 5, 0, -4, -11, -8, -8, 
##     -14, -13, -12, -8, -9, -10, -1, 2, 36, 37, 40, 45, 50, 45, 
##     41, 43, 44, 40, 52, 50, 46, 42, 42, 37, 39, 42, 40, 23, 20, 
##     21, 17, 12, 48, 19, 22, 24, 26, 41, 35, 38, 42, 36, 37, 32, 
##     35, 42, 38, 36, 42, 40, 38, 40, 43, 53, 53, 24, 24, 29, 43, 
##     45, 37, 40, 37, 41, 32, 34, 37, 38, 37, 35, 33, 43, 22, 17, 
##     24, 30, 19, 21, 16, 6, 8, 6, 3, -5, -3, -1, -1, 3, 2, 4, 
##     8, 8, 14, 13, 15, 20, 15, 30, 24, 22, 24, 21, 30, 34, 29, 
##     18, 26, 43, 34, 28, 33, 42, 42, 41, 39, 47, 37, 34, 39, 45, 
##     48, 44, 40, 37, 38, 42, 42, 36, 38, 33, 33, 31, 32, 27, 26, 
##     24, 21, 26, 22, 23, 23, 21, 14, 12, 13, 6, 4, 4, 2, -2, -4, 
##     -6, 25, 38, 26, 21, 20, 25, 32, 38, 33, 33, 32, 32, 34, 36, 
##     36, 32, 36, 31, 30, 30, 32, 39, 38, 33, 32, 36, 34, 33, 39, 
##     33, 31, 31, 33, 23, 17, 16, 14, 11, 14, 11, 11, 9, 4, 2, 
##     -1, 31, 29, 27, 29, 31, 31, 28, 25, 30, 34, 36, 36, 42, 42, 
##     41, 37, 31, 33, 39, 35, 34, 37, 43, 28, 31, 31, 38, 41, 35, 
##     37, 39, 35, 33, 33, 26, 30, 34, 30, 30, 23, 21, 19, 17, 10, 
##     3, 4, -2, 0, 0, -4, -9, -7, -2, -5, -1, 0, 2, 4, 4, 7, 11, 
##     14, 19, 17, 17, 24, 19, 19, 25, 21, 26, 30, 29, 33, 31, 30, 
##     30, 38, 39, 29, 43, 46, 46, 44, 43, 40, 46, 44, 41, 39, 40, 
##     43, 31, 37, 43, 37, 40, 33, 29, 29, 27, 26, 21, 14, 8, 6, 
##     5, 4, 2, 1, 4, 4, 2, 0, -1, 6, 5, 6, 7, 7, 9, 11, 19, 16, 
##     18, 17, 34, 36, 30, 38, 35, 33, 34, 37, 32, 31, 37, 34, 36, 
##     33, 31, 43, 38, 40, 44, 43, 39, 58, 41, 44, 50, 41, 45, 39, 
##     42, 43, 48, 48, 38, 37, 46, 43, 38, 30, 29, 32, 27, 29, 29, 
##     21, 21, 21, 18, 15, 16, 12, 12, 10, 15, -4, -4, 1, -3, 0, 
##     -2, 4, 0, 7, 9, 11, 11, 14, 14, 16, 19, 23, 20, 21, 18, 30, 
##     23, 25, 28, 29, 32, 30, 28, 32, 34, 30, 29, 31, 33, 32, 37, 
##     32, 31, 27, 27, 33, 31, 32, 30, 27, 31, 37, 39, 41, 34, 35, 
##     38, 40, 36, 41, 40, 36, 43, 14, 6, -1, 1, -4, -3, -3, -1, 
##     0, 0, 4, 2, 5, 4, 10, 8, 10, 18, 18, 22, 16, 21, 20, 18, 
##     17, 19, 22, 21, 22, 32, 27, 19, 19, 28, 26, 25, 29, 27, 21, 
##     22, 35, 22, 20, 27, 32, 33, 28, 24, 35, 35, 42, -126, -127, 
##     -127, -134, -132, -139, -132, -120, -127, -123, -116, -122, 
##     -125, -123, -129, -119, -125, -120, -123, -116, -115, -119, 
##     -118, -123, -125, -112, -122, -121, -122, -128, -125, -128, 
##     -122, -127, -134, -127, -127, -133, -142, -135, -143, -144, 
##     -152, -145, -143, -147, -146, -143, -158, -161, -160, -168, 
##     -170, -165, -164, -168, -167, -165, -164, -162, -162, -162, 
##     -151, -150, -143, -147, -146, -146, -145, -144, -140, -140, 
##     -143, -139, -133, -140, -137, -140, -133, -142, -144, -136, 
##     -131, -131, -135, -139, -133, -133, -129, -136, -131, -133, 
##     -141, -119, -116, -139, -139, -134, -130, -126, -122, -122, 
##     -132, -131, 40, 42, 40, 45, 37, 41, 43, 46, 39, 33, 30, 29, 
##     27, 27, 26, 20, 17, 12, 12, 12, 11, 2, 2, 4, 3, 8, 8, 10, 
##     10, 8, 15, 13, 14, 23, 21, 20, 23, 24, 22, 24, 27, 20, 29, 
##     28, 25, 29, 31, 29, 28, 29, 32, 10, 5, 3, 3, -8, -2, -5, 
##     -6, 1, -2, 1, 4, 3, 8, 15, 20, 26, 20, 30, 22, 32, 36, 41, 
##     0, 4, 11, 15, 17, 17, 26, 28, 28, 32, 37, 26, 18, 28, 27, 
##     30, 44, 27, 41, 40, 37, 20, 20, 19, 9, 13, 16, 12, 16, 11, 
##     9, 5, 7, 9, 8, 7, 7, 8, 15, 18, 16, 16, 20, 17, 18, 17, 19, 
##     15, 16, 17, 19, 20, 20, 19, 17, 18, -200, -200, -202, -205, 
##     -205, -192, -206, -204, -206, -201, -199, -201, -204, -204, 
##     -202, -204, -201, -199, -201, -204, -204, -200, -200, -201, 
##     -199, -201, -201, -199, -203, -209, -208, -204, -203, -205, 
##     -206, -202, -204, -202, -202, -202, -205, -200, -201, -201, 
##     -205, -207, -204, -208, -207, -210, -210, -203, 28, 24, 22, 
##     29, 26, 27, 16, 18, 19, 14, 15, 11, 14, 1, 10, 10, 6, 1, 
##     8, 5, 10, 11, 10, 11, 9, 10, 3, 5, -1, 4, 3, 6, 7, 8, 5, 
##     10, 2, -11, -14, 26, 12, 22, 11, 12, 9, 13, 13, 18, 13, 9, 
##     1, 13, 14, 12, 9, 9, 14, 11, 11, 9, 12, 19, 7, 7, 11, 7, 
##     13, 17, 9, 7, 7, 6, 4, 2, 10, 2, 3, 3, 6, 7, 9, 11, 17, 17, 
##     12, 8, 7, 4, -12, -4, 3, 9, 13, 11, 11, 14, 11, 9, 5, 9, 
##     -9, 22, 15, -9, -6, 17, 6, 3, 4, 8, -2, -1, 2, -2, -2, -2, 
##     -2, -2, -2, -2, -4, -8, -8, -8, -8, -9, -17, -17, -17, -16, 
##     -16, -18, -18, -18, -18, -18, -15, -15, -12, 317, 317, 318, 
##     316, 316, 315, 317, 310, 317, 317, 316, 316, 316, 316, 316, 
##     315, 314, 315, 313, 316, 313, 315, 315, 315, 316, 317, 318, 
##     317, 314, 315, 316, 316, 316, 318, 317, 314, 317, 317, 316, 
##     316, 318, 317, 317, 318, 317, 317, 318, 316, 314, 315, 315, 
##     317, 315, 316, 314, 316, 313, 314, 312, 312, 313, 316, 317, 
##     315, 315, 316, 316, 315, 315, 315, 315, 317, 78, 82, 83, 
##     80, 80, 78, 83, 86, 84, 82, 85, 87, 81, 81, 87, 83, 84, 77, 
##     79, 81, 76, 75, 72, 70, 64, 58, 76, 76, 84, 75, 77, 80, 80, 
##     80, 89, 76, 85, 83, 85, 90, 82, 87, 78, 85, 79, 94, 92, 85, 
##     81, 87, 89, 89, 83, 88, 85, 87, 89, 89, 87, 86, 86, 89, 84, 
##     74, 71, 82, 75, 84, 90, 87, 92, 82, 88, 86, 88, 88, 89, 92, 
##     82, 90, 84, 72, 64, 62, 60, 63, 62, 75, 75, 69, 70, 78, 75, 
##     74, 85, 81, 87, 86, 88, 87, 83, 89, 94, 98, 76, 94, 83, 104, 
##     87, 95, 22, 14, 1, 7, -3, 17, 17, 5, 14, -2, 10, 5, 24, 18, 
##     -1, 7, 18, 11, 16, 19, 5, 9, 14, 18, 14, 8, 10, 11, 10, 11, 
##     10, 10, 13, 83, 79, 79, 83, 81, 82, 85, 85, 77, 85, 84, 84, 
##     81, 83, 83, 81, 78, 64, 60, 53, 68, 61, 55, 47, 32, 40, 41, 
##     55, 60, 60, 61, 72, 66, 71, 77, 78, 74, 80, 89, 76, 79, 80, 
##     82, 80, 83, 80, 86, 81, 79, 87, 85, 82, 86, 87, 87, 86, 88, 
##     94, 88, 91, 92, 92, 86, 88, 89, 88, 92, 88, 90, 88, 90, 88, 
##     90, 91, 92, 89, 90, 88, 88, 88, 90, 88, 85, 59, 58, 57, 41, 
##     45, 49, 36, 31, 37, 36, 41, 42, 40, 46, 40, 49, 68, 80, 82, 
##     56, 60, 70, 40, 42, 58, 59, 54, 64, 81, 68, 70, 70, 79, 72, 
##     66, 63, 69, 75, 85, 98, 90, 84, 88, 78, 84, 85, 89, 80, 87, 
##     94, 90, 90, 91, 87, 85, 70, 72, 53, 53, 42, 53, 42, 34, 25, 
##     34, 36, 43, 42, 48, 55, 73, 64, 58, 59, 45, 66, 57, 73, 67, 
##     75, 72, 68, 80, 85, 83, 69, 66, 66, 90, 85, 83, 79, 82, 85, 
##     80, 78, 88, 94, 99, 93, 79, 84, 66, 64, 88, 82, 88, 75, 86, 
##     60, 76, 62, 58, 47, 53, 51, 45, 38, 34, 34, 52, 45, 33, 44, 
##     48, 73, 89, 56, 74, 80, 54, 65, 91, 81, 63, 83, 68, 63, 99, 
##     66, 73, 89, 91, 82, 86, 84, 86, 91, 85, 71, 83, 88, 92, 83, 
##     91, 88, 82, 84, 89, 89, 79, 69, 56, 57, 51, 51, 43, 42, 33, 
##     83, 96, 68, 73, 88, 85, 78, 79, 87, 63, 71, 76, 75, 81, 74, 
##     74, 75, 66, 61, 71, 66, 64, 64, 54, 39, 37, 34, 36, 37, 22, 
##     40, 48, 62, 72, 64, 46, 67, 41, 59, 44, 60, 72, 78, 88, 56, 
##     56, 67, 59, 32, 45, 90, 77, 70, 73, 72, 73, 74, 76, 74, 71, 
##     67, 73, 68, 71, 74, 80, 86, 84, 85, 81, 68, 79, 86, 78, 42, 
##     52, 43, 25, 26, 13, 42, 34, 29, 34, 34, 28, 56, 57, 57, 42, 
##     68, 57, 70, 49, 66, 77, 92, 71, 77, 75, 77, 81, 89, 32, 36, 
##     41, 53, 58, 63, 51, 101, 45, 57, 46, 67, 100, 61, 100, 73, 
##     87, 69, 63, 64, 105, 94, 91, 94, 100, 78, 79, 66, 72, 78, 
##     79, 77, 79, 86, 91, 80, 88, 91, 80, 93, 85, 90, 75, 66, 72, 
##     70, 78, 54, 64, 20, 27, 26, 37, 21, 31, 29, 36, 58, 69, 62, 
##     64, 74, 55, 69, 76, 39, 50, 79, 86, 60, 84, 88, 76, 89, 67, 
##     85, 71, 80, 70, 70, 83, 78, 78, 80, 75, 77, 15, 95, 106, 
##     96, 99, 95, 93, 96, 93, 91, 93, 102, 97, 93, 90, 95, 112, 
##     91, 98, 95, 99, 105, 105, 114, 103, 106, 103, 103, 101, 103, 
##     100, 104, 110, 107, 100, 96, 93, 91, 89, 91, 110, 113, 112, 
##     109, 110, 110, 111, 106, 102, 102, 99, 98, 95, 92, 80, 73, 
##     75, 71, 62, 71, 76, 74, 65, 37, 29, 19, 18, 16, 11, -2, -3, 
##     -5, -5, -11, -8, -9, -12, -13, -19, -17, -15, -25, -13, 4, 
##     9, 15, 18, 27, 38, 43, 60, 75, 93, 105, 116, 112, 103, 106, 
##     96, 103, 101, 91, 91, 101, 99, 102, 106, 104, 107, 97, 104, 
##     104, 110, 93, 92, 95, 96, 96, 97, 103, 115, 107, 101, 100, 
##     -13, -14, -2, 11, 13, 15, 54, 60, 69, 84, 91, 94, 98, 103, 
##     101, 103, 104, 108, 102, 102, 109, 112, 112, 113, 109, 102, 
##     99, 103, 104, 102, 102, 101, 106, 99, 87, 92, 97, 98, 105, 
##     104, 112, 107, 109, 96, 95, 97, 90, 96, 93, 88, 87, 77, 61, 
##     63, 73, 67, 67, 59, 63, 54, 37, 23, 23, 23, 23, 15, 12, 10, 
##     3, -10, -13, -11, -9, -12, -12, -12, -11, -12, -15, -16, 
##     -21, -17, 12, 27, 42, 51, 100, 105, 110, 105, 100, 105, 94, 
##     108, 102, 109, 108, 107, 107, 103, 97, 95, 91, 85, 66, 59, 
##     54, 57, 50, -1, -15, -15, -1, 2, 12, 7, -12, -14, -8, -4, 
##     -5, -7, -4, -8, -21, -19, -15, 13, 16, 36, 54, 77, 91, 101, 
##     106, 113, 115, 117, 115, 115, 107, 106, 108, 108, 112, 104, 
##     103, 93, 94, 86, 95, 105, 107, 103, 104, 106, 104, 109, 108, 
##     99, 90, 74, 64, 55, 49, 61, 49, 25, -11, 5, 10, -1, -19, 
##     -4, 1, -7, -15, -11, -7, -5, -9, 3, 25, 31, 34, 51, 84, 90, 
##     103, 109, 117, 124, 120, 125, 118, 113, 115, 111, 106, 103, 
##     111, 104, 102, 79, 99, 99, 103, 105, 101, 106, 115, 100, 
##     90, 91, 88, 78, 66, 69, 74, 70, 58, 57, 55, 48, 49, 43, 24, 
##     4, 14, -16, -20, -24, -22, -19, -16, -12, -11, -13, -13, 
##     -17, -18, 5, 15, 27, 30, 61, 87, 104, 112, 111, 80, 77, 78, 
##     73, 76, 80, 79, 72, 82, 82, 75, 75, 75, 72, 72, 72, 72, 70, 
##     70, 65, 35, -2, 3, 8, 13, 5, -1, -6, -14, -13, -11, -3, -5, 
##     1, 21, 40, 53, 62, 71, 78, 98, 102, 109, 129, 121, 121, 113, 
##     105, 103, 105, 107, 124, 111, 108, 107, 91, 103, 107, 105, 
##     102, 110, 110, 103, 105, 118, 119, 101, 98, 94, 87, 85, 77, 
##     70, 55, 64, 66, 13, 16, 15, 13, 17, 18, 11, 18, 9, 9, 14, 
##     17, 9, 9, 11, 12, 9, 8, 13, 20, 20, 24, 18, 18, 15, 15, 8, 
##     8, 5, -2, 4, 4, 0, 5, 6, 9, 8, 4, -9, -13, -11, 3, 10, 12, 
##     12, 14, -6, 3, 5, 15, 23, 4, -12, -10, -2, 4, -7, 15, 19, 
##     7, -8, 10, -6, -2, 10, 14, 16, 2, 17, 3, 2, 4, 22, 19, 13, 
##     14, 12, 7, 21, 25, 26, 22, 17, 12, 13, 11, 20, 12, 12, -3, 
##     0, -4, 24, 10, 14, 1, 20, 37, 28, 31, 22, 17, 14, 13, 22, 
##     22, 4, -3, -1, -2, -12, -17, -5, -3, 22, 17, 8, 0, 11, 10, 
##     5, 22, 36, 15, 13, 10, 12, 10, 31, 35, 23, 25, 40, 43, 25, 
##     34, -4, -2, 0, -7, -3, 1, -8, -3, -4, -3, 1, 2, 12, 8, 13, 
##     8, 14, 11, 8, 15, 13, 10, 20, 24, 23, 18, 16, 12, 12, 34, 
##     44, 21, 23, 15, 13, 13, 4, -10, -9, -10, -4, -2, 1, -9, -14, 
##     -11, -8, -6, -5, -4, 1, -1, -5, -2, -1, -1, 10, 6, 0, 2, 
##     3, 10, 16, 16, 11, 20, 14, 27, 29, 26, 16, 11, 20, 20, 24, 
##     22, 23, 37, 23, 4, -10, 9, 19, 37, 34, 17, 16, 20, 22, 13, 
##     21, 33, 36, 32, 30, 15, 2, 38, 35, 33, 46, 29, 25, 21, 10, 
##     -3, -7, 1, 0, -4, -2, -6, 10, -12, -4, -4, -12, -10, -5, 
##     -11, -21, -25, -19, 20, 5, 8, 15, 14, 16, 10, 12, 23, 32, 
##     28, 18, 10, 5, 7, 13, -3, 3, -8, -16, -13, -15, -14, -16, 
##     -14, -22, -25, -26, -27, -14, -21, -37, -30, -28, -17, -26, 
##     -34, -29, -19, -13, -4, -6, 0, 2, 8, 6, -2, -16, 7, 16, 4, 
##     -22, -28, -24, -35, -36, -36, -36, -55, -56, -53, -46, -49, 
##     -46, -39, -28, -21, -15, -10, 1, 1, -3, 3, 1, 1, 12, 16, 
##     11, 13, 11, 17, 20, 23, 26, 23, 12, 15, 17, 21, 23, 23, 29, 
##     30, 16, 0, -14, -4, -16, -21, -36, -28, -19, -37, -39, -36, 
##     -31, -29, -22, 30, 33, 22, 22, 29, 37, 39, 29, 25, 25, 29, 
##     37, 36, 48, 47, 51, 54, 54, 44, 39, 49, 35, 39, 25, 38, 53, 
##     63, 47, 52, 52, 55, 60, 61, 60, 60, 61, 61, 61, 58, 62, 58, 
##     62, 63, 62, 65, 64, 67, 63, 69, 70, 65, 63, 72, 64, 65, 66, 
##     71, 68, 66, 70, 74, 68, 64, 74, 71, 69, 68, 75, 73, 73, 70, 
##     71, 75, 68, 68, 75, 67, 77, 79, 72, 69, 70, 79, 78, 82, 83, 
##     79, 81, 78, 80, 78, 71, 74, 78, 79, 80, 70, 76, 80, 68, 72, 
##     76, 80, 67, 56, 50, 61, -200, -201, -207, -204, -206, -219, 
##     -228, -219, -228, -219, -216, -221, -226, -227, -231, -231, 
##     -230, -224, -227, -226, -220, -215, -216, -217, -208, -215, 
##     -195, -214, -209, -197, -191, -209, -239, -223, -181, -179, 
##     -206, -198, -181, -196, -190, -194, -197, -196, -195, -197, 
##     -190, -196, -192, -192, -194, -191, -196, -195, -194, -194, 
##     -193, -194, -196, -195, -196, -193, -196, -196, -193, -197, 
##     -197, -193, -195, -197, -195, -201, -196, -193, -179, -187, 
##     -191, -196, -191, -198, -196, -193, -200, -199, -219, -199, 
##     -198, -211, -224, -223, -213, -203, -196, -186, -167, -157, 
##     -169, -168, -185, -196, -181, -177, -170, -159, -176, -155, 
##     -180, -192, -209, -184, -198, -191, -195, -184, -176, -176, 
##     -180, -145, -165, -177, -155, -153, -143, -140, -161, -159, 
##     -169, -201, -200, -165, -186, -180, -199, -200, -189, -182, 
##     -172, -168, -172, -178, -171, -160, -151, -157, -177, -170, 
##     -195, -170, -173, -176, -174, -175, -184, -180, -180, -179, 
##     -194, -192, -179, -177, -184, -162, -166, -159, -168, -168, 
##     -156, -154, -151, -165, -189, -200, -215, -219, -210, -206, 
##     -198, -202, -202, -202, -199, -191, -192, -173, -159, -162, 
##     -153, -160, -166, -180, -177, -182, -172, -188, -179, -197, 
##     -203, -199, -194, -194, -188, -169, -162, -161, -140, -142, 
##     -171, -178, -186, -178, -176, -214, -217, -223, -215, -214, 
##     -126, -137, -157, -175, -163, -139, -183, -156, -144, -203, 
##     -185, -181, -166, -166, -171, -173, -169, -151, -153, -160, 
##     -153, -147, -141, -138, -172, -160, -173, -183, -172, -177, 
##     -175, -173, -167, -148, -143, -149, -161, -134, -127, -194, 
##     -169, -190, -201, -211, -216, -190, -202, -183, -201, -197, 
##     -190, -178, -168, -168, -162, -173, -164, -143, -141, -137, 
##     -133, -193, -193, -196, -186, -190, -170, -152, -164, -163, 
##     -158, -162, -168, -132, -144, -128, -147, -147, -164, -187, 
##     -148, -151, -172, -212, -242, -217, -178, -148, -166, -169, 
##     -208, -180, -177, -174, -179, -194, -158, -154, -145, -152, 
##     -130, -138, -123, -151, -149, -175, -171, -159, -161, -150, 
##     -151, -166, -157, -190, -159, -153, -152, -120, -131, -139, 
##     -141, -130, -138, -163, -179, -187, -174, -162, -153, -130, 
##     -137, -145, -146, -150, -165, -156, -160, -159, -121, -99, 
##     -142, -146, -148, -144, -136, -137, -135, -140, -143, -137, 
##     -130, -127, -139, -130, -128, -104, -103, -107, -112, -109, 
##     -105, -86, -99, -91, -98, -106, -105, -98, -96, -98, -89, 
##     -77, -79, -98, -94, -107, -106, -104, -100, -110, -122, -124, 
##     -134, -126, -120, -130, -134, -134, -138, -139, -141, -142, 
##     -137, -140, -138, -136, -144, -135, -128, -109, -107, -97, 
##     -100, -100, -106, -104, -93, -89, -101, -100, -89, -84, -79, 
##     -93, -97, -86, -86, -96, -87, -91, -93, -95, -95, -97, -99, 
##     -90, -87, -91, -96, -99, -100, -99, -97, -98, -99, -76, -74, 
##     -98, -94, -100, -105, -108, -102, -106, -111, -109, -105, 
##     -109, -116, -123, -127, -118, -115, -127, -126, -126, -123, 
##     -122, -133, -129, -130, -136, -138, -132, -122, -119, -112, 
##     -97, -92, -100, -95, -94, -96, -93, -89, -95, -91, -104, 
##     -97, -95, -93, -97, -94, -87, -86, -86, -87, -89, -94, -123, 
##     -113, -120, -125, -121, -124, -124, -126, -138, -137, -136, 
##     -136, -133, -118, -129, -141, -141, -142, -143, -140, -135, 
##     -138, -140, -137, -136, -135, -81, -82, -77, -78, -78, -70, 
##     -78, -76, -70, -92, -95, -96, -93, -89, -85, -73, -71, -80, 
##     -88, -86, -91, -110, -112, -120, -122, -120, -124, -128, 
##     -132, -139, -134, -136, -134, -141, -148, -146, -138, -127, 
##     -116, -128, -128, -127, -135, -144, -145, -146, -123, -131, 
##     -137, -126, -133, -135, -142, -140, -139, -142, -145, -137, 
##     -123, -123, -116, -120, -127, -119, -114, -112, -111, -108, 
##     -104, -108, -95, -87, -87, -94, -98, -96, -90, -91, -85, 
##     -83, -82, -85, -83, -80, -79, -77, -77, -79, -77, -76, -76, 
##     -68, -71, -74, -130, -119, -116, -123, -127, -127, -119, 
##     -131, -131, -129, -134, -138, -131, -124, -134, -135, -129, 
##     -127, -122, -126, -104, -113, -93, -83, -88, -84, -90, -93, 
##     -92, -89, -88, -81, -84, -82, -80, -79, -80, -116, -126, 
##     -124, -127, -125, -127, -135, -135, -129, -127, -121, -116, 
##     -113, -111, -116, -123, -128, -131, -129, -123, -119, -114, 
##     -125, -128, -123, -126, -124, -125, -124, -122, -127, -127, 
##     -132, -124, -120, -120, -101, -106, -102, -96, -93, -90, 
##     -88, -98, -91, -102, -108, -101, -102, -95, -94, -88, -86, 
##     -86, -86, -82, -88, -83, -84, -83, -85, -86, -86, -86, -90, 
##     -88, -90, -89, -92, -105, -105, -92, -100, -89, -84, -91, 
##     -118, -133, -133, -127, -134, -142, -142, -139, -138, -139, 
##     -140, -144, -158, -146, -141, -132, -147, -150, -150, -138, 
##     -143, -139, -141, -141, -137, -141, -145, -144, -144, -147, 
##     -150, -148, -159, -155, -144, -141, -139, -134, -128, -128, 
##     -128, -117, -114, -112, -115, -121, -109, -111, -117, -113, 
##     -98, -105, -108, -98, -99, -97, -92, -94, -91, -91, -85, 
##     -85, -86, -82, -84, -85, -87, -86, -86, -88, -86, -84, -89, 
##     -88, -89, -91, -93, -90, -94, -108, -109, -104, -108, -109, 
##     -104, -86, -90, -88, -90, -100, -113, -116, -116, -126, -129, 
##     -133, -130, -139, -138, -150, -139, -146, -134, -138, -143, 
##     -137, -135, -134, -137, -143, -144, -141, -143, -144, -149, 
##     -130, -133, -131, -135, -145, -146, -139, -130, -124, -126, 
##     -125, -115, -116, -120, -112, -107, -113, -108, -115, -80, 
##     -76, -76, -77, -77, -73, -74, -76, -83, -83, -86, -90, -103, 
##     -95, -100, -84, -83, -83, -86, -89, -94, -107, -110, -106, 
##     -117, -73, -71, -79, -78, -93, -95, -99, -68, -63, -66, -98, 
##     -102, -110, -109, -117, -118, -124, -121, -139, -141, -140, 
##     -136, -129, -126, -123, -114, -111, -112, -92, -93, -101, 
##     -105, -97, -97, -86, -90, -98, -97, -99, -90, -93, -98, -94, 
##     -85, -81, -90, -96, -89, -83, -82, -87, -88, -85, -87, -83, 
##     -86, -92, -99, -99, -97, -92, -91, -79, -72, -94, -101, -102, 
##     -94, -88, -106, -112, -104, -97, -92, -89, -92, -88, -89, 
##     -94, -90, -93, -90, -87, -88, -89, -91, -92, -93, -93, -91, 
##     -91, -152, -151, -152, -160, -159, -155, -151, -149, -151, 
##     -154, -150, -145, -142, -141, -134, -134, -127, -135, -139, 
##     -112, -119, -131, -135, -125, -124, -122, -129, -125, -128, 
##     -128, -145, -137, -130, -144, -145, -139, -142, -147, -154, 
##     -147, -146, -149, -157, -153, -151, -161, -161, -163, 32, 
##     34, 37, 41, 32, 31, 31, 31, 35, 32, 27, 33, 30, 32, 19, 29, 
##     23, 23, 18, 18, 15, 12, 15, 14, 16, 16, 16, 20, 26, 21, 24, 
##     28, 23, 25, 31, 32, 30, 30, 29, 29, 30, 31, 31, 31, 30, 33, 
##     32, 31, 31, 30, 37, 31, 36, 31, 36, 38, 35, 38, 38, 38, 38, 
##     36, 40, 41, 42, 38, 40, 40, 41, 38, 38, 38, 41, 40, 38, 38, 
##     39, 41, 42, 37, 43, 33, 46, 45, 51, 54, 46, 42, 40, 42, 37, 
##     37, 35, 30, 32, 30, 23, 33, 30, 33, 37, 29, 34, 37, 38, 42, 
##     34, 38, 35, 35, 39, 34, 34, 47, 50, 45, 48, 42, 38, 36, 39, 
##     55, 43, 38, 40, 50, 48, 46, 47, 54, 61, 53, 59, 59, 47, 59, 
##     40, 30, 48, 50, 52, 54, 57, 50, 46, 47, 54, 62, 52, 51, 65, 
##     65, 68, 70, 71, 64, 69, 64, 66, 68, 73, 56, 50, 50, 54, 54, 
##     62, 57, 61, 58, 51, 60, 56, 57, 59, 61, 57, 57, 56, 53, 52, 
##     56, 55, 55, 55, 61, 52, 53, 49, 50, 41, 62, 69, 55, 56, 48, 
##     65, 68, 56, 70, 68, 66, 68, 70, 71, 71, 72, 66, 70, 74, 75, 
##     76, 75, 80, 72, 72, 57, 58, 58, 63, 61, 58, 61, 61, 60, 64, 
##     62, 66, 68, 71, 74, 76, 72, 72, 71, 72, 70, 71, 73, 74, 71, 
##     76, 77, 75, 73, 64, 63, 73, 77, 71, 62, 72, 79, 79, 68, 70, 
##     73, 80, 74, 79, 84, 79, 81, 80, 77, 71, 79, 81, 88, 84, 84, 
##     79, 78, 79, 81, 78, 77, 74, 70, 68, 71, 63, 65, 67, 65, 68, 
##     67, 70, 65, 59, 54, 50, 53, 51, 52, 54, 52, 54, 58, 56, 56, 
##     60, 66, 59, 58, 63, 68, 65, 55, 64, 61, 59, 67, 65, 62, 57, 
##     58, 63, 57, 53, 54, 49, 53, 64, 69, 76, 75, 69, 68, 70, 71, 
##     74, 69, 69, 74, 84, 84, 79, 73, 75, 74, 72, 80, 74, 78, 69, 
##     77, 77, 74, 74, 81, 73, 67, 65, 66, 78, 78, 68, 67, 66, 65, 
##     68, 71, 68, 68, 64, 61, 57, 57, 54, 53, 48, 52, 57, 53, 51, 
##     50, 53, 55, 57, 53, 54, 51, 47, 49, 56, 55, 50, 73, 73, 71, 
##     50, 53, 53, 45, 56, 52, 65, 54, 52, 56, 51, 50, 72, 70, 68, 
##     71, 68, 70, 70, 68, 71, 69, 68, 69, 68, 60, 58, 57, 58, 58, 
##     55, 53, 56, 52, 57, 53, 47, 45, 47, 47, 45, 49, 50, 54, 65, 
##     62, 52, 50, 47, 51, 68, 57, 55, 59, 69, 59, 59, 59, 59, 59, 
##     59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 
##     59, 59, 59, 59, 59, 59, 59, -5, -13, -19, -5, 0, -1, -8, 
##     -9, -17, -7, -6, -8, -14, -7, -5, -6, -11, -13, -8, -3, -2, 
##     -6, -2, -3, -6, -5, -9, -16, -14, 2, -5, -2, 0, 2, -15, -12, 
##     -12, -12, -12, 4, -3, -1, -1, -2, -6, -8, -6, -7, -5, -4, 
##     -5, -5, -3, -3, -3, -6, -12, -18, -16, -15, -9, -9, -11, 
##     -28, -21, -14, -11, -15, -15, -11, 3, 2, 0, 9, 9, 3, -8, 
##     -14, -9, -4, -7, -6, -4, -16, 8, 8, 1, 4, 7, 5, -3, -7, -10, 
##     -7, 1, 4, 2, 4, 2, 10, 17, 9, 13, 21, 17, 13, 15, 24, 15, 
##     10, 9, 13, 10, 15, 21, 16, 10, 10, 8, 1, 4, 1, 1, 3, 0, -7, 
##     3, -4, -1, -1, -10, -9, -11, -8, -3, -1, -11, -13, -13, -6, 
##     -2, 6, 3, -1, 5, 10, 8, 3, 8, 7, 11, 18, 14, 12, 12, 9, 13, 
##     13, 12, 8, 13, 13, 11, 13, -142, -133, -115, -133, -129, 
##     -166, -164, -164, -163, -164, -167, -166, -163, -162, -161, 
##     -160, -156, -156, -157, -159, -156, -155, -155, -154, -157, 
##     -153, -143, -137, -135, -135, -131, -124, -127, -135, -136, 
##     -130, -137, -142, -138, -126, -130, -134, -132, -128, -131, 
##     -132, -131, -129, -129, -128, -132, -130, -132, -134, -132, 
##     -131, -135, -135, -131, -133, -133, -134, -136, -133, -135, 
##     -134, -130, -129, -132, -132, -133, -132, -133, -130, -131, 
##     -136, -137, -135, -137, -135, -137, -136, -137, -138, -138, 
##     -136, -140, -138, -139, -137, -137, -138, -139, -139, -136, 
##     -138, -135, -132, -134, -134, 59, 59, 59, 59, -10, -6, -2, 
##     -2, 9, 6, 6, 6, 6, 6, 6, 3, 3, -13, 0, -1, 3, 60, 65, 66, 
##     61, 53, 53, 69, 68, 64, 63, 68, 65, 69, 66, 65, 68, 69, 69, 
##     71, 71, 71, 73, 70, 71, 70, 71, 70, 65, 78, 76, 66, 69, 66, 
##     63, 69, 63, 68, 71, 72, 71, 72, 68, 63, 59, 45, 45, 48, 49, 
##     44, 51, 53, 51, 54, 55, 66, 54, 49, 48, 46, 69, 79, 74, 71, 
##     69, 68, 72, 72, 11, 12, 9, 5, 1, 3, 5, -7, 1, -2, 3, 3, 3, 
##     2, 4, 6, 10, 10, 15, 14, -170, -153, -100, -91, -158, -128, 
##     -173, -154, -163, -141, -140, -163, -157, -171, -170, -175, 
##     -179, -137, -153, -136, -155, -164, -144, -146, -148, -140, 
##     -143, -143, -173, -162, -155, -155, -152, -144, -148, -177, 
##     -162, -159, -159, -183, -212, -230, -231, -200, -176, -191, 
##     -187, -190, -192, -158, -187, -194, -184, -189, -154, -155, 
##     -165, -157, -149, -149, -147, -149, -155, -161, -156, -151, 
##     -172, -185, -200, -178, -180, -195, -165, -166, -163, -130, 
##     -101, -162, -160, -186, -172, -213, -213, -206, -207, -214, 
##     -183, -179, -188, -187, -198, -204, -199, -173, -182, -192, 
##     -170, -163, -166, -210, -197, -209, -199, -215, -205, -160, 
##     -176, -190, -183, -202, -196, -202, -190, -192, -194, -191, 
##     -190, -196, -199, -199, -195, -195, -191, -200, -200, -199, 
##     -190, -197, -196, 52, 54, 54, 54, 54, 54, 54, 54, 54, 54, 
##     54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 
##     54, 117, 112, 114, 108, 101, 100, 102, 100, 100, 98, 92, 
##     91, 100, 114, 113, 114, 118, 125, 108, 115, 108, 115, 116, 
##     115, 94, 95, 92, 90, 74, 75, 106, 106, 108, 110, 117, 112, 
##     111, 111, 116, 112, 111, 106, 105, 106, 104, 97, 93, 91, 
##     93, 97, 95, 100, 78, 77, 79, 60, 66, 55, 51, 48, 41, 29, 
##     26, 29, -4, -14, -14, -2, 9, -2, -10, -19, -18, -16, -17, 
##     -15, 15, 4, 0, 0, 4, -6, -6, -9, -13, -9, -11, -12, -16, 
##     -14, -2, 25, 31, 41, 64, 83, 117, 114, 110, 113, 110, 101, 
##     98, 103, 96, 89, 91, 94, 86, 76, 75, 61, 57, 40, 37, 29, 
##     22, 85, 87, 81, 86, 79, 79, 84, 88, 74, 83, 79, 74, 76, 68, 
##     89, 71, 79, 61, 63, 37, 31, 40, 29, 19, 11, 25, 34, 45, 40, 
##     22, 18, 18, 28, 24, 41, 39, 51, 53, 65, 35, 29, 48, 31, 49, 
##     63, 60, 57, 90, 89, 88, 90, 91, 89, 87, 88, 93, 87, 88, 83, 
##     81, 80, 74, 70, 69, 33, 30, 43, 38, 46, 47, 37, 31, 27, 29, 
##     32, 30, 29, 27, 28, 29, 28, 28, 31, 32, 37, 42, 41, 36, 32, 
##     28, 33, 37, 36, 38, 39, 41, 44, 48, 44, 37, 38, 38, 45, 47, 
##     46, 50, 48, 51, 49, -25, -38, -33, -17, -12, -12, -12, -6, 
##     5, 7, 14, 10, 7, 11, 10, 14, 20, 16, 16, 17, 18, 25, 9, 5, 
##     8, 4, 10, 13, 33, 28, 24, 5, 2, 7, 6, 21, 38, 42, 32, 15, 
##     9, 2, 21, 23, 23, -2, 1, -3, 6, 7, 7, 10, 9, 10, 23, 20, 
##     15, 17, 14, 17, 19, 22, 10, 12, 15, 19, 19, 22, 25, 14, 14, 
##     13, 1, 3, 11, 13, 20, 21, 15, 17, 11, 21, 7, -1, 1, 1, 10, 
##     12, 20, 16, 6, 25, 9, 7, 1, -5, -4, -2, 2, -3, -3, 5, 13, 
##     10, 6, 0, 5, 12, 2, 1, 4, 6, 15, 20, 20, 21, 26, 25, 27, 
##     27, 28, 26, 24, 19, 20, 16, 20, 17, 23, 28, 25, 34, 34, 35, 
##     16, 11, -2, 16, 18, 22, 23, 17, -2, 13, 24, -8, -13, -11, 
##     -1, 5, 7, 10, 10, 1, 4, 9, 8, 11, 13, 19, 24, 27, 29, 19, 
##     30, 28, 20, 16, 16, 23, 71, 83, 79, 84, 77, 75, 81, 100, 
##     58, 61, 77, 80, 78, 78, 74, 86, 74, 74, 62, 74, 79, 79, 41, 
##     29, 21, 25, 22, 32, 35, 25, 29, 38, 58, 67, 71, 84, 61, 68, 
##     71, 60, 49, 63, 70, 76, 85, 87, 84, 80, 76, 81, 84, 80, 72, 
##     78, 66, 68, 68, 73, 83, 70, 88, 88, 85, 95, 96, 73, 81, 79, 
##     90, 91, 84, 83, 64, 51, 56, 61, 72, 70, 59, 64, 62, 65, 75, 
##     73, 100, 82, 98, 73, 81, 83, 70, 63, 89, 74, 79, 101, 106, 
##     105, 94, 89, 75, 61, 63, 76, 108, 86, 104, 102, 92, 100, 
##     98, 88, 92, 91, 88, 95, 91, 88, 86, 93, 90, 89, 91, 94, 94, 
##     91, 85, 88, 93, 83, 87, 80, 78, 92, 94, 90, 90, 87, 87, 81, 
##     81, 86, 83, 80, 75, 84, 81, 71, 76, 77, 75, 78, 80, 90, 82, 
##     84, 74, 66, 87, 88, 91, 91, 90, 93, 96, 98, 97, 89, 85, 85, 
##     86, 86, 82, 81, 83, 86, 91, 86, 83, 72, 77, 80, 84, 92, 88, 
##     84, 78, 71, 75, 88, 89, 86, 96, 97, 87, 81, 87, 97, 84, 82, 
##     94, 102, 103, 94, 94, 86, 101, 99, 99, 100, 94, 97, 93, 91, 
##     103, 93, 96, 87, 95, 93, 93, 89, 87, 88, 89, 85, 82, 74, 
##     79, 74, 75, 83, 82, 73, 69, 66, 61, 63, 67, 65, 62, 72, 61, 
##     72, 77, 80, 91, 90, 81, 80, 84, 88, 98, 101, 91, 83, 84, 
##     95, 95, 101, 93, 97, 95, 95, 95, 91, 89, 89, 91, 97, 102, 
##     100, 90, 99, 95, 96, 101, 94, 93, 90, 82, 83, 87, 85, 81, 
##     78, 72, 71, 79, 84, 89, 86, 74, 82, 97, 90, 83, 90, 98, 93, 
##     71, 94, 89, 102, 102, 99, 94, 93, 87, 100, 100, 90, 90, 95, 
##     91, 97, 100, 97, 85, 93, 98, 95, 86, 94, 83, 78, 87, 88, 
##     89, 81, 74, 72, 78, 89, 86, 80, 83, 69, 74, 95, 81, 83, 80, 
##     99, 89, 88, 93, 91, 91, 91, 93, 93, 93, 96, 88, 91, 83, 85, 
##     96, 93, 98, 95, 99, 96, 96, 98, 95, 101, 95, 81, 96, 102, 
##     92, 97, 88, 94, 92, 84, 82, 83, 89, 79, 54, 44, 15, 15, 15, 
##     15, 15, 15, 14, 14, 14, 14, 12, 10, 9, 9, -3, -3, -3, -3, 
##     -3, -3, -3, -3, -3, -3, -3, -1, -2, -4, -4, -4, -4, -4, -4, 
##     -4, -4, -4, -4, -4, -1, 9, 1, -10, -8, -9, -6, -6, -9, -6, 
##     -8, -30, -46, -30, -19, -19, -19, -19, -19, -19, -19, -19, 
##     -19, -19, -19, -19, -16, -15, -16, -31, -28, -27, -26, -21, 
##     -22, -31, -34, -34, -31, -25, -25, -25, -25, -21, -20, -22, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -10, 
##     -8, -10, -15, -15, -23, -23, -35, -35, -35, -36, -14, -25, 
##     -6, -8, -17, -18, -13, -11, -12, -11, -24, -27, -23, -21, 
##     -14, -12, -12, -10, -8, -8, -13, -13, -19, -19, -22, -18, 
##     -10, -10, -10, -10, -14, -11, -11, -3, -2, -13, -14, -22, 
##     -29, -33, -30, -28, -25, -19, -18, -16, -10, -12, -8, -27, 
##     -8, -26, -18, -12, -11, -8, -17, -16, -18, -24, -25, -22, 
##     -17, -13, -10, -13, -14, -14, -18, -20, -16, -17, -6, -2, 
##     -2, 3, 11, 7, 8, 3, -5, -15, -26, -29, -29, -17, -12, -13, 
##     -8, -10, 2, -21, 4, -6, 7, -11, -2, -12, -12, -8, -5, -8, 
##     -13, -15, -15, -15, -13, -10, -5, -10, -13, -17, -20, -22, 
##     -18, -13, -10, -14, -17, -13, -8, -7, -2, -1, 8, 1, 8, 10, 
##     7, 0, -12, -15, -21, -27, -29, -23, -20, -23, -12, -9, -22, 
##     -24, -2, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 
##     -6, -6, -6, -6, -6, -6, -9, -6, 1, 5, 6, 3, -2, -3, -6, -8, 
##     -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, 
##     -10, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, 
##     -15, -20, -20, -28, -28, -31, -33, -30, -29, -29, -29, -36, 
##     -37, -36, -36, -36, -36, -36, -36, -36, -36, -36, -36, -37, 
##     -37, -37, -37, -37, -37, 31, 31, 34, 35, 31, 30, 32, 35, 
##     33, 31, 31, 31, 28, 30, 33, 28, 25, 27, 27, 30, 26, 29, 32, 
##     31, 26, 28, 24, 25, 25, 26, 22, 21, 14, 15, 10, 12, 8, 7, 
##     16, 8, 7, 2, 6, 6, 17, 18, 4, 5, 13, 14, 10, 19, 13, 8, 16, 
##     14, 21, 13, 10, 24, 23, 25, 22, 25, 24, 8, 11, 17, 14, 12, 
##     11, 18, 31, 26, 29, 25, 24, 22, 19, 19, 22, 17, 23, 13, 3, 
##     9, 7, 3, 3, 9, 15, 12, 9, 13, 9, 24, 17, 17, 13, 21, 14, 
##     20, 22, 3, 9, 34, 11, 32, 10, 16, 17, 19, 18, 21, 14, 4, 
##     15, 4, 9, 2, 20, 16, 11, 8, 7, 9, 26, 21, 7, 12, 9, 20, 15, 
##     12, 11, 19, 20, 23, 19, 21, 16, 16, 16, 20, 19, 19, 16, 17, 
##     26, 19, 17, 12, 13, 8, 7, -3, 4, 9, 6, 10, 13, 7, 6, 10, 
##     12, 13, 12, 18, 13, 11, 14, 17, 0, 20, 18, 14, 7, 10, 24, 
##     21, 6, 15, 17, 12, 11, 18, 12, 12, 19, 19, 16, 17, 18, 21, 
##     21, 21, 14, 17, 9, 12, 7, 8, 5, 5, 9, 7, 15, 13, 20, 16, 
##     6, 3, 21, 24, 3, 9, 23, 10, 2, 17, 6, 8, 18, 17, 12, 23, 
##     20, 22, 18, 15, 16, 2, 5, 5, 5, 10, 5, 2, 0, 0, -3, -2, 12, 
##     12, 14, 10, 24, 17, 6, 19, 23, 5, -14, 9, 13, 16, 24, 26, 
##     14, 22, 22, 8, 13, 17, 22, 18, 21, 12, 13, 28, 19, 16, 17, 
##     13, 6, 12, 3, -2, 0, 2, -2, 3, 12, 8, 5, 8, 13, 7, 9, 10, 
##     16, 23, 4, 7, 8, 11, 15, 15, 6, -4, 0, 10, 16, 14, 6, 11, 
##     20, 20, 19, 12, 11, 16, 12, 16, 18, 14, 9, 6, -4, 3, 4, 3, 
##     2, 0, -2, -4, -4, -6, -4, 0, 2, -2, 13, 16, 16, 19, 4, 0, 
##     7, 3, 1, 6, -2, 3, -1, -3, 7, 1, 10, 4, 13, 11, 25, 18, 5, 
##     10, 15, 12, 8, 17, 4, 7, 4, 6, 6, 12, 11, 9, 5, 9, 18, 17, 
##     14, 18, 17, 21, 12, 14, 9, 10, 3, 5, 0, -3, 4, 0, -4, -5, 
##     3, 6, 6, 10, 16, 11, 8, 12, 5, 14, 11, 9, 14, 16, 21, 15, 
##     -8, 19, 12, 11, 8, 16, 4, 5, 8, 9, 18, 10, 10, 14, 13, 8, 
##     14, 14, 13, 13, 9, 11, 17, 11, 7, 8, 10, 10, 10, 11, 11, 
##     11, 13, 11, 13, 9, 8, -159, -165, -163, -168, -158, -161, 
##     -171, -169, -167, -167, -156, -144, -115, -152, -149, -144, 
##     -155, -167, -176, -181, -155, -158, -165, -164, -176, -194, 
##     -197, -189, -186, -182, -179, -191, -190, -201, -201, -202, 
##     -203, -182, -184, -179, -188, -193, -207, -206, -190, -190, 
##     -193, -185, -194, -194, -197, -197, -198, -195, -193, -195, 
##     -201, -196, -200, -196, -196, -196, -198, -201, -200, -196, 
##     -197, -197, -197, -198, -200, -198, -199, -198, -202, -195, 
##     -190, -190, -194, -197, -194, -197, -196, -198, -199, -198, 
##     -195, -197, -201, -204, -202, -194, -193, -198, -187, -201, 
##     -199, -201, -199, -199, -197, -203, -197, -206, -199, -205, 
##     -205, -211, -209, -207, -205, -203, -199, -198, -199, -197, 
##     -208, -203, -192, -196, -205, -203, -223, -196, -201, -194, 
##     -195, -196, -192, -201, -200, -201, -198, -194, -202, -202, 
##     -195, -198, -199, -200, -196, -197, -190, -198, -197, -194, 
##     -208, -199, -190, -197, -207, -209, -219, -213, -202, -200, 
##     -193, -202, -205, -196, -206, -218, -205, -200, -195, -201, 
##     -197, -190, -196, -193, -196, -194, -204, -202, -192, -195, 
##     -195, -182, -204, -207, -198, -200, -192, -211, -210, -196, 
##     -197, -193, -206, -213, -208, -220, -243, -206, -202, -188, 
##     -199, -199, -196, -206, -211, -192, -190, -197, -193, -193, 
##     -184, -186, -189, -194, -210, -201, -199, -196, -194, -201, 
##     -195, -197, -195, -198, -208, -195, -182, -199, -201, -218, 
##     -167, -184, -188, -195, -203, -222, -185, -202, -201, -220, 
##     -220, -207, -202, -205, -206, -202, -205, -193, -178, -187, 
##     -182, -198, -196, -190, -190, -195, -198, -194, -192, -202, 
##     -189, -197, -188, -174, -194, -177, -197, -207, -211, -180, 
##     -205, -198, -223, -182, -189, -192, -203, -197, -185, -189, 
##     -185, -186, -185, -189, -196, -187, -192, -193, -190, -188, 
##     -191, -194, -192, -184, -200, -187, -204, -190, -195, -196, 
##     -179, -194, -217, -206, -213, -220, -206, -203, -196, -194, 
##     -191, -198, -200, -194, -219, -206, -200, -197, -193, -188, 
##     -197, -176, -185, -178, -186, -191, -191, -203, -199, -198, 
##     -200, -201, -198, -196, -200, -191, -203, -196, -192, -232, 
##     -189, -185, -210, -219, -241, -212, -196, -190, -201, -216, 
##     -203, -192, -185, -196, -184, -180, -178, -191, -199, -181, 
##     -186, -197, -209, -194, -202, -189, -231, -226, -198, -183, 
##     -194, -198, -200, -196, -169, -200, -214, -198, -222, -229, 
##     -230, -204, -190, -190, -199, -197, -206, -205, -199, -178, 
##     -188, -180, -197, -201, -183, -180, -187, -179, -196, -204, 
##     -191, -194, -199, -194, -201, -197, -196, -189, -179, -210, 
##     -211, -196, -185, -193, -207, -223, -204, -199, -193, -187, 
##     -182, -185, -195, -204, -206, -203, -176, -186, -203, -190, 
##     -192, -188, -196, -195, -193, -195, -186, -187, -196, -205, 
##     -197, -191, -190, -193, -187, -189, -194, -194, -197, -174, 
##     -215, -183, -203, -189, -194, -204, -184, -205, -194, -195, 
##     -213, -193, -188, -198, -200, -202, -201, -199, -200, -200, 
##     -197, -195, -197, -197, -195, -199, -199, -199, -192, -192, 
##     -198, -192, -198, -197, -193, -197, -195, -195, -194, -194, 
##     -193, -193, -192, -198, -191, -196, -189, -188, -189, -191, 
##     -195, -195, -194, -188, -192, -202, -192, -181, -188, -200, 
##     -179, -172, -156, -177, -176, -176, -171, -179, -189, -180, 
##     -182, -185, -182, -186, -182, -171, -114, -139, -200, -167, 
##     -183, -172, -170, -184, -189, -194, -196, -194, -196, -183, 
##     -178, -175, -176, -175, -170, -166, -151, -133, -124, -153, 
##     -151, -136, -196, -159, -155, -186, -177, -151, -177, -196, 
##     -191, -172, -222, -216, -182, -188, -189, -186, -188, -188, 
##     -185, -184, -185, -184, -187, -185, -185, -187, -183, -182, 
##     -185, -188, -184, -187, -185, -184, -185, -185, -185, -185, 
##     -185, -186, -189, -185, -184, -106, -99, -92, -100, -97, 
##     -93, -93, -98, -99, -94, -96, -98, -96, -95, -93, -88, -91, 
##     -93, -97, -98, -102, -111, -114, -127, -110, -93, -112, -118, 
##     -130, -130, -146, -80, -82, -81, -80, -75, -76, -75, -74, 
##     -74, -76, -77, -74, -70, -75, -77, -86, -89, -99, -102, -106, 
##     -103, -96, -166, -165, -163, -166, -164, -163, -174, -180, 
##     -165, -173, -171, -171, -170, -174, -174, -174, -172, -173, 
##     -175, -176, -179, -177, -177, -183, -185, -192, -198, -204, 
##     -197, -195, -201, -202, -187, -182, -175, -160, -179, -179, 
##     -176, -158, -149, -143, -144, -136, -132, -127, -128, -133, 
##     -125, -111, -114, -127, -134, -130, -118, -122, -129, -124, 
##     -123, -126, -124, -121, -119, -136, -144, -145, -141, -122, 
##     -127, -141, -139, -135, -132, -133, -134, -133, -135, -130, 
##     -134, -142, -115, -130, -127, -126, -127, -132, -128, -126, 
##     -128, -140, -126, -120, -120, -143, -142, -143, -144, -142, 
##     -146, -141, -142, -141, -133, -135, -137, -138, -141, -139, 
##     -133, -136, -129, -134, -135, -129, -127, -131, -124, -134, 
##     -126, -121, -125, -122, -131, -129, -120, -123, -130, -127, 
##     -114, -107, -130, -121, -126, -125, -128, -127, -124, -124, 
##     -125, -132, -127, -121, -127, -130, -131, -131, -124, -129, 
##     -127, -125, -136, -128, -135, -133, -132, -132, -133, -137, 
##     -138, -139, -139, -145, -144, -144, -144, -145, -140, -145, 
##     -144, -145, -142, -144, -145, -143, -142, -144, -142, -140, 
##     -140, -142, -142, -145, -143, -137, -141, -138, -141, -142, 
##     -137, -141, -143, -139, -141, -137, -139, -135, -141, -139, 
##     -137, -140, -139, -138, -138, -133, -138, -138, -139, -139, 
##     -134, -136, -142, -140, -152, -145, -147, -144, -144, -147, 
##     -146, -143, -146, -146, -144, -143, -144, -147, -146, -142, 
##     -140, -146, -144, -146, -145, -144, -144, -143, -142, -136, 
##     -141, -141, -147, -137, -141, -143, -142, -138, -134, -140, 
##     -145, -132, -132, -136, -142, -144, -138, -139, -127, -126, 
##     -138, -140, -138, -141, -144, -140, -140, -136, -122, -119, 
##     -121, -129, -130, -138, -139, -138, -140, -137, -137, -139, 
##     -137, -138, -137, -146, -144, -142, -142, -146, -148, -147, 
##     -143, -145, -146, -142, -143, -142, -140, -141, -140, -143, 
##     -141, -133, -141, -144, -142, -138, -139, -145, -147, -138, 
##     -132, -138, -137, -137, -138, -134, -133, -136, -135, -138, 
##     -138, -137, -134, -142, -141, -138, -135, -135, -138, -144, 
##     -145, -143, -144, -138, -125, -129, -126, -130, -132, -138, 
##     -134, -138, -139, -139, -135, -138, -136, -135, -131, -133, 
##     -134, -136, -134, -135, -136, -137, -136, -136, -137, -137, 
##     -136, -141, -143, -138, -142, -143, -144, -143, -143, -140, 
##     -147, -147, -157, -151, -148, -146, -142, -139, -143, -138, 
##     -139, -141, -137, -141, -141, -144, -143, -142, -143, -145, 
##     -141, -145, -150, -148, -143, -145, -143, -149, -152, -146, 
##     -149, -145, -147, -148, -148, -148, -146, -150, -148, -147, 
##     -147, -147, -149, -148, -144, -145, -153, -146, -143, -138, 
##     -133, -142, -144, -133, -135, -141, -137, -124, -132, -130, 
##     -143, -150, -122, -134, -129, -128, -134, -138, -138, -142, 
##     -129, -133, -131, -139, -138, -135, -139, -140, -135, -139, 
##     -138, -145, -143, -146, -146, -146, -146, -148, -154, -145, 
##     -144, -147, -148, -149, -148, -146, -152, -147, -148, -146, 
##     -148, -147, -146, -144, -140, -142, -147, -144, -140, -142, 
##     -143, -137, -139, -136, -144, -140, -136, -138, -141, -137, 
##     -129, -126, -128, -132, -134, -136, -141, -142, -142, -144, 
##     -134, -139, -133, -141, -142, -131, -132, -141, -134, -131, 
##     -129, -127, -128, -133, -133, -138, -144, -132, -144, -144, 
##     -145, -144, -141, -138, -141, -145, -145, -145, -147, -143, 
##     -139, -144, -140, -134, -140, -136, -131, -133, -136, -140, 
##     -145, -147, -138, -147, -124, -120, -140, -135, -134, -142, 
##     -143, -135, -137, -143, -138, -132, -131, -133, -133, -138, 
##     -141, -137, -142, -141, -127, -132, -141, -141, -143, -148, 
##     -145, -144, -143, -128, -133, -143, -141, -139, -140, -143, 
##     -148, -137, -138, -140, -134, -138, -142, -139, -139, -136, 
##     -147, -144, -145, -138, -136, -141, -137, -145, -141, -140, 
##     -139, -153, -142, -151, -151, -146, -127, -132, -126, -125, 
##     -120, -128, -132, -139, -134, -143, -132, -138, -141, -140, 
##     -142, -140, -141, -141, -140, -137, -136, -144, -143, -144, 
##     -143, -143, -141, -145, -145, -98, -86, -79, -76, -128, -136, 
##     -132, -136, -153, -179, -174, -189, -188, -187, -187, -186, 
##     -184, -180, -174, -164, -182, -190, -174, -144, -140, -138, 
##     -142, -142, -138, -144, -144, -145, -134, -141, -139, -123, 
##     -104, -92, -93, -74, -80, -87, -102, -88, -85, -150, -151, 
##     -146, -149, -145, -137, -139, -136, -139, -145, -140, -136, 
##     -132, -135, -133, -134, -134, -140, -142, 8, 15, 19, 14, 
##     9, 13, 25, 23, 23, 23, 15, 23, 16, 9, 16, 32, 32, 26, 21, 
##     20, 16, 14, 15, 19, 23, 12, 12, 13, 20, 23, 13, 19, 20, 19, 
##     16, 14, 15, 18, 19, 13, 17, 17, 8, 18, 19, 22, 15, 21, 15, 
##     16, 19, 11, 13, 19, 13, 17, 18, 21, 20, 18, 16, 18, 20, 21, 
##     19, 14, 16, 21, 20, 18, 14, 14, 15, 14, 12, 13, 13, 12, 11, 
##     12, 18, 17, 16, 12, 9, 8, 8, 8, 13, 14, 10, 10, 11, 14, 13, 
##     14, 11, 10, 7, 7, 11, 13, 11, 13, 13, 15, 14, 20, 9, 14, 
##     11, 15, 28, 40, -8, 4, 19, 24, 17, 14, 17, 20, 14, 7, 9, 
##     23, 29, 31, 22, 23, 24, 24, 24, 23, 21, 17, 11, 15, 23, 25, 
##     17, 19, 16, 15, 16, 9, 14, 14, 12, 11, 9, 11, 12, 8, 9, 10, 
##     8, 11, 10, 9, 9, 9, 12, 10, 9, 19, 22, 20, 15, 15, 16, 19, 
##     18, 22, 12, 6, 21, 16, 15, 21, 17, 12, 14, 20, 22, 21, 15, 
##     13, 16, 7, 9, 9, 10, 8, 7, 6, 3, 6, 6, 7, 7, 6, 7, 9, 6, 
##     3, 8, 8, 12, 12, 8, 5, 12, 8, 13, 16, 16, 19, 11, 16, 11, 
##     14, 10, 11, 16, 14, 8, 9, 10, 15, 11, 8, 8, 8, 6, 6, 8, 7, 
##     8, 5, 4, 6, 4, 5, 1, 3, 5, 4, 9, 9, 9, 10, 9, 15, 13, 3, 
##     9, 7, 10, 12, 12, 13, 10, 10, 4, 5, -2, 3, 10, 16, 17, 11, 
##     13, 15, 11, 13, 9, 12, 14, 16, 17, 11, 16, 12, 7, 7, 5, 7, 
##     9, 8, 8, 10, 11, 7, 6, 7, 7, 6, 9, 10, 7, 4, 8, 7, 11, 7, 
##     5, 9, 8, 9, 7, 9, 10, 7, 6, 9, 9, 9, 10, 4, 9, 10, 9, 11, 
##     12, 9, 9, 6, 7, 12, 16, 12, 10, 16, 11, 13, 10, 9, 10, 12, 
##     12, 13, 11, 9, 27, 17, 10, 11, 13, 16, 7, 5, 7, 7, 7, 10, 
##     7, 6, 9, 7, 4, 7, 9, 9, 5, 6, -2, -6, 11, 15, 15, 15, 15, 
##     15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
##     15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
##     15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
##     15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
##     15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
##     12, 8, 11, 13, 10, 6, 8, 8, 6, 5, 6, 5, 5, 3, 6, 7, 7, 5, 
##     7, 7, 8, 5, 4, 6, 10, 16, 12, 9, 9, 9, 6, 2, 9, 11, 1, 13, 
##     13, 10, 7, 5, 8, 10, 4, 7, 15, 14, 18, 19, 13, 20, 18, 18, 
##     15, 16, 16, 19, 22, 23, 21, 10, 17, 11, 11, 15, 14, 27, 25, 
##     25, 24, 19, 17, 20, 24, 21, 24, 25, 31, 28, 26, 23, 28, 16, 
##     12, 30, 30, 20, 14, 20, 21, 16, 19, -168, -167, -190, -193, 
##     -199, -202, -189, -193, -181, -182, -189, -190, -190, -187, 
##     -186, -187, -189, -184, -183, -190, -188, -152, -193, -187, 
##     -184, -198, -155, -156, -178, -178, -185, -174, -183, -184, 
##     -148, -160, -140, -145, -146, -169, -167, -223, -199, -198, 
##     -200, -201, -210, -204, -205, -208, -212, -203, -211, -191, 
##     -206, -191, -196, -198, -196, -201, -197, -33, -25, -7, -5, 
##     -5, -11, -10, -9, -6, -11, -13, -18, -13, -9, -9, -9, -1, 
##     6, -35, -35, -35, -35, -35, -35, -35, -35, -35, -35, -31, 
##     -30, -27, -27, -25, -23, -20, -23, -19, -24, -15, -15, -25, 
##     -31, -14, -28, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, 
##     -18, -18, -18, -18, -18, -18, -18, -18, 99, 87, 92, 89, 92, 
##     87, 84, 82, 71, 73, 81, 85, 83, 70, 99, 85, 74, 61, 77, 94, 
##     101, 72, 75, 79, 72, 74, 81, 84, 80, 93, 96, 101, 81, 82, 
##     89, 98, 104, 106, 98, 96, 99, 103, 96, 102, 94, 90, 87, 97, 
##     89, 96, 95, 95, 80, 86, 75, 90, 103, 78, 74, 87, 72, 100, 
##     100, 99, 105, 78, 77, 82, 88, 97, 95, 93, 92, 97, 88, 85, 
##     81, 92, 83, 82, 82, 86, 73, 73, 88, 88, 96, 101, 82, 90, 
##     86, 83, 84, 92, 94, 95, 84, 86, 85, 90, 85, 91, 75, 80, 70, 
##     78, 78, 87, 79, 84, 84, 90, 73, 75, 86, 82, 83, 15, 11, 6, 
##     21, 13, 11, 19, 8, 14, 15, 9, 9, 10, 11, 11, 8, 11, 5, 10, 
##     9, 8, 7, 9, 15, 8, 7, 10, 14, 14, 13, 18, 21, 18, 14, 16, 
##     17, 14, 13, 7, 13, 12, 12, 12, 20, 3, 0, 4, 2, -2, -2, -1, 
##     2, 27, 24, 23, 24, 23, 30, 25, 22, 26, 29, 19, 17, 17, 15, 
##     21, 19, 16, 12, 1, 0, 0, 6, 12, 16, 20, 17, 13, 24, 23, 16, 
##     16, 18, 19, 35, 25, 18, 23, 20, 26, 27, 31, 32, 26, 24, 26, 
##     23, 27, 23, 28, 26, 24, 28, 22, 17, 10, 19, 20, 22, 22, 19, 
##     12, 7, 2, 0, 17, 17, 27, 22, 27, 17, 15, 26, 10, 15, 14, 
##     11, 18, 9, 7, 6, -9, -4, 18, 10, 8, 18, 24, 23, 20, 21, 24, 
##     13, 12, 12, 10, 13, 23, 11, 11, 10, 14, 12, 11, 13, 11, 7, 
##     9, 8, 10, 8, 12, 11, 15, 18, 15, 16, 18, 14, 14, 17, 12, 
##     17, 19, 12, 13, 11, 13, 12, 11, 9, 12, 15, 12, 12, 12, 12, 
##     9, 10, 10, 10, 12, 10, 9, 12, 11, 9, 92, 87, 91, 88, 93, 
##     83, 82, 94, 83, 83, 101, 96, 90, 85, 97, 92, 103, 106, 106, 
##     103, 99, 93, 89, 96, 94, 92, 99, 96, 99, 97, 100, 100, 94, 
##     94, 93, 89, 89, 89, 77, 87, 87, 88, 92, 86, 80, 84, 82, 73, 
##     82, 84, 83, 92, 84, 89, 92, 90, 85, 92, 100, 100, 103, 104, 
##     103, 99, 101, 104, 97, 106, 96, 95, 101, 81, 85, 91, 100, 
##     91, 91, 84, 78, 81, 81, 83, 78, 86, 83, 78, 89, 82, 92, 96, 
##     96, 91, 98, 88, 94, 98, 89, 96, 86, 88, 101, 92, 99, 98, 
##     93, 94, 95, 94, 104, 92, 77, 92, 102, 104, 98, 86, 96, 92, 
##     83, 84, 96, 96, 96, 95, 91, 84, 84, 83, 88, 82, 81, 83, 86, 
##     40, 71, 70, 72, 78, 88, 93, 70, 65, 84, 82, 78, 91, 97, 92, 
##     88, 91, 83, 86, 83, 85, 82, 80, 85, 83, 83, 88, 85, 86, 82, 
##     86, 85, 86, 78, 78, 72, 74, 65, 66, 52, 58, 72, 73, 72, 83, 
##     88, 77, 89, 78, 100, 77, 87, 89, 82, 96, 93, 96, 94, 96, 
##     92, 88, 94, 95, 93, 96, 90, 88, 92, 96, 95, 90, 91, 92, 89, 
##     89, 96, 97, 94, 92, 92, 93, 90, 89, 89, 90, 95, 94, 92, 87, 
##     91, 87, 83, 81, 76, 74, 71, 70, 56, 53, 50, 50, 50, 52, 51, 
##     64, 64, 70, 74, 79, 73, 94, 85, 85, 94, 80, 90, 81, 84, 97, 
##     94, 85, 95, 105, 104, 85, 93, 97, 91, 92, 96, 96, 95, 93, 
##     76, 71, 73, 87, 77, 78, 102, 83, 94, 84, 76, 77, 95, 87, 
##     103, 82, 90, 91, 91, 97, 95, 91, 90, 91, 89, 98, 90, 90, 
##     96, 96, 90, 87, 85, 81, 74, 68, 63, 63, 54, 61, 62, 50, 53, 
##     60, 47, 47, 60, 60, 65, 69, 77, 91, 93, 83, 75, 88, 95, 83, 
##     101, 103, 92, 85, 93, 92, 81, 95, 97, 100, 95, 95, 92, 91, 
##     95, 96, 93, 94, 92, 94, 92, 96, 91, 95, 93, 76, 56, 55, 59, 
##     64, 48, 59, 49, 64, 65, 85, 88, 86, 77, 92, 95, 84, 77, 83, 
##     89, 82, 84, 83, 88, 88, 87, 88, 94, 89, 92, 91, 89, 90, -9, 
##     -8, -8, -7, -9, -8, -7, -6, -5, -7, -1, -1, -3, 4, 4, -10, 
##     -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -3, -14, -16, -6, -6, 
##     -6, -8, -13, -20, -27, -28, -29, -22, -7, -8, -8, -5, -5, 
##     -7, 3, 3, 1, 3, 10, -4, -4, 4, -1, 2, -5, -4, 2, 12, 9, 6, 
##     0, 5, 2, 12, 8, 7, 3, 7, 12, 13, 12, 9, 11, 11, 20, 20, 6, 
##     8, 7, 8, 6, 7, 4, -2, -3, -1, 1, 0, 3, 8, -16, -26, -28, 
##     -23, -15, -8, -5, -1, -6, -3, 0, 11, 11, -10, -1, 1, 0, 0, 
##     6, 1, 1, 1, 7, 12, 9, 9, 6, 3, 0, 1, 8, 10, 4, 12, 13, 8, 
##     3, -1, 2, 1, 4, 6, 0, -2, 0, 1, -1, -3, -2, -1, -2, -9, -5, 
##     -6, -5, -8, -8, -10, -16, -12, -11, -6, -5, -12, -12, -4, 
##     -2, -2, 3, 6, 3, -2, -4, 4, 3, 4, 2, 1, 2, -2, 0, 1, 2, 4, 
##     4, -3, -4, -5, -4, -10, -10, -12, -12, -12, -2, -4, -1, -2, 
##     -1, 2, -1, 2, 2, 5, 4, 6, 7, 6, 4, 3, -1, 7, 6, 0, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -37, -37, -37, 
##     -37, -37, -37, -37, -37, -37, -37, -37, -37, -37, -37, -36, 
##     -34, -28, -26, -28, -17, -3, -22, -22, -16, -10, -6, -4, 
##     -13, -10, -6, -3, -12, -18, -23, -12, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -92, -84, -58, -52, -53, -57, 
##     -55, -54, -50, -13, -4, 5, 39, 42, 61, 65, 78, 88, 90, 92, 
##     95, 105, 109, 109, 101, 88, 91, 100, 98, 94, 90, 90, 86, 
##     78, 73, 40, 40, 32, 21, 21, 29, 22, 5, 10, 14, 14, 14, -8, 
##     -5, 8, 14, 32, 14, -17, -39, -59, -70, -72, -40, -31, -42, 
##     -58, -61, -51, -52, -41, -38, -31, -12, -4, -1, 32, 36, 55, 
##     59, 69, 74, 77, 83, 88, 108, 97, 100, 106, 115, 117, 109, 
##     106, 122, 116, 96, 92, 90, 87, 83, 77, 61, 69, 53, 25, 33, 
##     35, 39, 30, -5, -14, -13, -13, -22, -38, -48, -47, -43, -56, 
##     -62, -63, -47, -46, -32, -31, -22, -21, -15, -7, -1, 17, 
##     30, 61, 65, 73, 83, 84, 94, 96, 94, 100, 98, 90, 85, 86, 
##     104, 115, 115, 112, 107, 93, 70, 51, 46, 43, 32, 36, 40, 
##     40, 40, 40, 39, 25, 25, 23, 23, 23, 23, 18, 18, 18, 18, 16, 
##     5, 5, 1, -18, -29, -67, -67, -50, -51, -47, -36, -29, -27, 
##     -21, -15, -6, 18, 38, 59, 73, 80, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 
##     81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 41, 
##     40, 41, 48, 45, 45, 43, 43, 43, 45, 45, 47, 47, 46, 45, 46, 
##     46, 45, 44, 42, 11, 9, 8, 6, 7, 8, 0, 9, 3, 8, 3, 0, 0, 1, 
##     -6, -7, -12, -13, -5, 0, 3, 14, 5, 10, 13, 13, 17, 5, 10, 
##     14, 16, 19, 12, 13, 16, 18, 17, 12, 15, 13, 17, 20, 19, 17, 
##     14, 16, 20, 19, 21, 17, 14, 18, 8, 10, 14, 6, 0, -5, -6, 
##     -11, -17, -21, -8, 8, 6, 5, 16, 19, 20, 17, 17, 16, 13, 18, 
##     12, 9, 15, 17, 14, 10, 23, 21, 13, 13, 9, 10, 17, 20, 16, 
##     15, 20, 18, 18, 16, 19, 17, 14, 17, 13, 16, 17, 9, 15, 14, 
##     14, 11, 12, 11, 10, 8, 6, 2, 1, 2, -4, -9, -14, -11, 4, 3, 
##     4, 16, 13, 11, 13, 12, 18, 22, 7, 23, 10, 12, 5, 10, 14, 
##     11, 9, 7, 13, 17, 18, 13, 17, 15, 10, 14, 13, 12, 16, 11, 
##     6, 2, 5, 8, 6, -17, -13, -16, -17, -9, 0, 8, 4, 4, 4, 6, 
##     12, 12, 11, 18, 13, 11, 6, 23, 7, 15, 18, 14, 19, 17, 14, 
##     15, 12, 13, 12, 14, 7, 9, 14, 1, -14, -15, -15, -10, -5, 
##     3, 7, 11, 11, 9, 14, 4, 10, 25, 20, 19, 11, 15, 11, 23, 18, 
##     17, 11, 18, 16, 21, 11, 9, 15, 15, 18, 20, 15, 20, 16, 19, 
##     19, 7, 10, 9, 16, 19, 2, 11, 18, 25, 19, 14, 21, 22, 20, 
##     20, 20, 23, 20, 20, 20, 17, 25, 27, 23, 21, 15, 12, 12, 16, 
##     15, 13, 8, 10, -1, 2, 6, 8, 9, 20, 10, 20, 19, 12, 20, 18, 
##     23, 13, 32, 25, 23, 20, 22, 22, 13, 23, 29, 31, 29, 30, -188, 
##     -185, -185, -188, -188, -187, -185, -192, -193, -201, -191, 
##     -189, -190, -187, -197, -199, -185, -192, -199, -204, -178, 
##     -193, -199, -195, -194, -197, -188, -218, -189, -181, -193, 
##     -211, -213, -204, -201, -202, -202, -205, -204, -204, -205, 
##     -202, -203, -204, -203, -201, -203, -206, -207, -204, -208, 
##     -208, -211, -210, -204, -212, -212, -210, -215, -222, -216, 
##     -210, -204, -197, -215, -222, -208, -204, -205, -211, -216, 
##     -217, -210, -211, -211, -216, -214, -211, -211, -211, -211, 
##     -207, -210, -208, -210, -210, -211, -201, -204, -200, -188, 
##     -193, -202, -208, -211, -208, -199, -195, -183, -187, -192, 
##     -192, -192, -197, -207, -197, -184, -183, -191, -181, -179, 
##     -176, -159, -159, -159, -201, -198, -158, -215, -176, -202, 
##     -208, -198, -190, -199, -192, -189, -179, -180, -181, -181, 
##     -170, -170, -202, -177, -172, -192, -175, -209, -207, -181, 
##     -169, -168, -183, -180, -187, -192, -191, -191, -191, -183, 
##     -172, -173, -174, -193, -202, -200, -190, -195, -180, -183, 
##     -187, -188, -184, -186, -186, -185, -180, -178, -175, -182, 
##     -182, -173, -196, -177, -166, -186, -186, -179, -186, -186, 
##     -186, -189, -185, -184, -186, -185, -182, -177, -181, -177, 
##     -176, -178, -183, -196, -203, -187, -188, -189, -191, -179, 
##     -183, -173, -170, -185, -169, -178, -177, -199, -166, -195, 
##     -180, -195, -181, -197, -182, -192, -194, -197, -196, -193, 
##     -192, -195, -189, -190, -188, -187, -200, -207, -202, -210, 
##     -202, -201, -201, -187, -181, -176, -173, -177, -174, -191, 
##     -211, -198, -168, -173, -208, -203, -202, -187, -181, -181, 
##     -188, -193, -189, -179, -188, -183, -168, -167, -195, -203, 
##     -193, -203, -200, -199, -189, -193, -187, -174, -163, -141, 
##     -154, -173, -158, -160, -179, -159, -188, -201, -196, -187, 
##     -175, -176, -175, -171, -165, -190, -189, -169, -162, -181, 
##     -180, -179, -191, -193, -189, -177, -174, -180, -182, -180, 
##     -180, -191, -176, -178, -172, -168, -161, -189, -186, -188, 
##     -187, -184, -170, -161, -190, -192, -181, -164, -154, -163, 
##     -184, -177, -165, -179, -165, -198, -180, -169, -189, -200, 
##     -183, -183, -176, -180, -182, -186, -186, -181, -177, -166, 
##     -169, -175, -190, -193, -197, -181, -170, -175, -177, -180, 
##     -187, -177, -176, -180, -167, -176, -171, -178, -184, -166, 
##     -194, -184, -171, -185, -190, -170, -178, -177, -190, -182, 
##     -179, -185, -178, -182, -179, -180, -186, -182, -179, -181, 
##     -182, -180, -180, -185, -181, -180, -179, -179, -178, -177, 
##     -179, -182, -182, -184, -181, -181, -185, -185, -188, -189, 
##     -189, -188, -189, -192, -192, -194, -192, -194, -193, -193, 
##     -194, -196, -195, -194, -196, -196, -198, -198, -195, -197, 
##     -195, -195, -194, -194, -193, -194, -193, -194, -143, -136, 
##     -135, -133, -129, -131, -135, -137, -137, -137, -139, -137, 
##     -135, -136, -141, -143, -142, -140, -143, -144, -127, -130, 
##     -132, -127, -131, -137, -127, -130, -140, -134, -127, -139, 
##     -139, -129, -128, -126, -129, -132, -130, -134, -130, -143, 
##     -141, -145, -145, -145, -145, -143, -143, -145, -145, -148, 
##     -144, -137, -141, -141, -140, -145, -143, -145, -142, -141, 
##     -140, -138, -136, -142, -139, -135, -134, -140, -140, -134, 
##     -133, -135, -133, -139, -142, -143, -140, -141, -146, -145, 
##     -141, -145, -146, -167, -167, -164, -166, -171, -168, -163, 
##     -165, -159, -159, -157, -156, -154, -150, -158, -160, -154, 
##     -153, -156, -152, -140, -143, -143, -138, -137, -137, -138, 
##     -141, -138, -137, -144, -144, -147, -150, -150, -151, -147, 
##     -144, -142, -147, -137, -130, -128, -130, -124, -121, -120, 
##     -117, -124, -123, -121, -123, -122, -128, -118, -125, -123, 
##     -128, -134, -134, -136, -140, -140, -139, -140, -141, -143, 
##     -144, -143, -138, -141, -141, -143, -141, -142, -141, -136, 
##     -138, -135, -131, -131, -126, -132, -134, -124, -127, -127, 
##     -129, -124, -127, -127, -138, -140, -145, -142, -138, -142, 
##     -144, -139, -143, -144, -144, -138, -138, -135, -137, -132, 
##     -137, -135, -125, -118, -130, -121, -124, -132, -122, -128, 
##     -128, -123, -127, -128, -126, -127, -123, -128, -130, -130, 
##     -126, -131, -131, -129, -130, -136, -129, -140, -141, -133, 
##     -134, -127, -130, -125, -124, -143, -137, -145, -141, -139, 
##     -141, -145, -145, -143, -146, -145, -145, -147, -150, -148, 
##     -145, -143, -141, -142, -141, -140, -140, -143, -140, -137, 
##     -130, -130, -138, -136, -138, -133, -135, -133, -134, -133, 
##     -133, -136, -130, -130, -131, -131, -136, -137, -127, -134, 
##     -126, -131, -126, -129, -127, -136, -123, -125, -121, -118, 
##     -121, -134, -134, -131, -138, -133, -131, -130, -131, -134, 
##     -131, -133, -134, -130, -130, -131, -131, -128, -131, -132, 
##     -129, -134, -137, -130, -127, -129, -129, -128, -130, -134, 
##     -131, -131, -132, -131, -134, -133, -131, -132, -131, -131, 
##     -132, -130, -135, -130, -134, -127, -127, -125, -123, -126, 
##     -128, -127, -131, -131, -136, -135, -136, -131, -134, -127, 
##     -128, -137, -125, -126, -128, -137, -128, -133, -136, -135, 
##     -143, -144, -141, -139, -141, -144, -141, -140, -139, -138, 
##     -140, -141, -136, -133, -140, -127, -128, -130, -134, -136, 
##     -130, -131, -131, -134, -133, -131, -130, -126, -122, -129, 
##     -130, -132, -136, -139, -134, -128, -123, -121, -130, -130, 
##     -122, -130, -130, -126, -129, -128, -127, -126, -125, -130, 
##     -127, -125, -124, -122, -127, -126, -127, -127, -152, -154, 
##     -152, -156, -153, -154, -155, -155, -155, -154, -151, -154, 
##     -151, -152, -145, -145, -147, -143, -148, -149, -149, -145, 
##     -145, -146, -144, -136, -133, -136, -144, -154, -153, -157, 
##     -155, -170, -173, -165, -165, -175, -170, -168, -173, -174, 
##     -165, -161, -158, -162, -136, -138, -139, -141, -137, -139, 
##     -138, -141, -141, -140, -140, -140, -141, -141, -142, -143, 
##     -141, -144, -144, -144, -147, -140, -139, -145, -145, -131, 
##     -137, -142, -142, -129, -134, -136, -130, -133, -131, -125, 
##     -124, -129, -134, -131, -129, -144, -150, -147, -147, -148, 
##     -147, -148, -150, -151, -149, -152, -149, -144, -146, -141, 
##     -145, -138, -139, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
##     15, 15, 15, 15, -10, -10, 3, 17, 13, 20, 15, -1, -21, -14, 
##     -14, -10, -10, -4, 0, -3, -11, -12, -6, -2, -14, -9, -7, 
##     -6, -3, -11, -14, -10, -7, -15, -17, -29, -21, -5, -3, 0, 
##     2, -7, -21, -21, -10, -8, -7, -7, -9, -4, -4, -4, -4, -4, 
##     -4, -3, -5, -6, -5, -5, -6, -7, -10, -10, -10, -10, -16, 
##     -14, -16, -23, -6, -29, -37, -25, -16, -13, -17, -11, -12, 
##     -15, -5, -2, -2, -2, -2, -2, -2, 0, 0, -2, -1, -1, 5, 5, 
##     -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, -3, -6, 0, -5, -6, -4, -2, 
##     -17, -15, -5, -6, -12, -9, -19, -24, -21, -20, -15, -12, 
##     -11, -13, -9, -8, -9, -6, -6, -7, -8, -8, -8, -8, -8, -5, 
##     -6, -6, -6, -3, -7, -9, -9, 1, -1, -4, -6, 1, 2, 8, 2, 1, 
##     2, 2, -1, -5, -6, -5, -6, -4, -10, 3, 7, 7, 7, 7, 7, 7, -2, 
##     -11, -17, -17, -17, -4, -4, -7, -6, -2, -7, -11, -2, -2, 
##     -2, -1, -4, -3, 0, 2, 1, -1, -4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 2, -1, -1, 
##     -1, -2, -3, -5, -4, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, 1, 4, 4, 4, -9, -7, -6, -6, -3, -4, -2, -2, 
##     -14, -12, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 
##     -11, -11, -11, -11, -11, -11, -11, -11, -9, -9, -2, -2, -3, 
##     -6, -5, -4, -8, -11, -8, -3, -2, -2, -4, -4, 5, 4, 1, 0, 
##     -4, -3, -6, -3, 3, 1, -1, -5, -2, -6, -1, 5, 5, -1, -5, -6, 
##     -4, -11, -7, -10, -15, -6, -5, -5, -4, -5, -5, -7, -6, -4, 
##     2, 4, -1, -4, -6, -3, -10, -10, -14, -13, -13, -13, -13, 
##     -190, -186, -190, -196, -195, -197, -196, -192, -193, -193, 
##     -193, -192, -188, -190, -191, -192, -191, -191, -193, -191, 
##     -192, -191, -192, -192, -193, -191, -194, -191, -180, -177, 
##     -164, -168, -177, -179, -169, -177, -170, -162, -167, -161, 
##     -174, -171, -176, -178, -179, -178, -176, -185, -196, -194, 
##     -194, -194, -181, -184, -187, -184, -179, -185, -182, -186, 
##     -190, -198, -197, -204, -186, -194, -174, -180, -178, -179, 
##     -177, -173, -192, -179, -171, -183, -169, -185, -198, -188, 
##     -184, -184, -195, -198, -196, -195, -196, -194, -190, -187, 
##     -183, -171, -177, 103, 106, 110, 113, 124, 125, 120, 117, 
##     91, 90, 78, 69, 60, 51, 30, 40, 37, 30, 23, 14, 6, -10, -22, 
##     -41, -45, -52, -58, -56, -41, -29, -18, -9, -8, 13, 20, 28, 
##     38, 58, 70, 80, 89, 92, 99, 106, 103, 41, 41, 32, 32, 32, 
##     32, 32, 32, 32, 32, 32, 32, 17, 17, 17, 17, 17, 17, 17, 17, 
##     17, 19, -12, -6, -10, -3, 9, -2, 2, -5, -24, -94, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, 65, 66, 65, 66, 66, 
##     65, 61, 61, 60, 60, 60, 39, 39, 39, 41, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, 
##     -32, -32, -32, -32, -32, -32, -32, -32, -32, -32, 98, 99, 
##     95, 96, 93, 90, 97, 95, 100, 93, 97, 95, 97, 97, 90, 93, 
##     84, 82, 78, 73, 76, 58, 65, 66, 72, 66, 90, 87, 71, 57, 53, 
##     56, 54, 62, 63, 75, 90, 85, 87, 101, 89, 87, 83, 95, 88, 
##     80, 83, 91, 97, 80, 83, 85, 84, 84, 82, 83, 81, 79, 72, 61, 
##     60, 56, 60, 94, 90, 83, 91, 100, 95, 88, 91, 94, 96, 94, 
##     95, 97, 94, 94, 101, 96, 92, 88, 92, 93, 96, 97, 98, 15, 
##     25, 19, 19, 27, 30, 27, 25, 23, 24, 20, 22, 24, 13, 19, 12, 
##     11, 23, 19, 26, 24, 19, 22, 25, 24, 23, 22, 26, 20, 21, 5, 
##     3, -2, -4, 0, 1, -5, -4, -8, 1, 6, 5, 13, 18, 23, 15, 22, 
##     19, 13, 18, 21, 14, 16, 24, 37, 38, 37, 35, 36, 33, 36, 35, 
##     35, 35, 37, 36, 36, 36, 37, 37, 34, 35, 35, 37, 37, 38, 40, 
##     39, 36, 44, 44, 46, 55, 51, 45, 43, 38, 35, 21, 23, 35, 42, 
##     58, 56, 58, -201, -200, -197, -173, -173, -166, -157, -146, 
##     -124, -109, -82, -83, -85, -82, -75, -74, -77, -73, -68, 
##     -74, -81, -83, -74, -75, -73, -76, -79, -75, -68, -72, -69, 
##     -77, -79, -80, -88, -89, -87, -94, -94, -95, -98, -93, -93, 
##     -97, -98, -113, -118, -122, -112, -117, -133, -135, -159, 
##     -150, -148, -161, -154, -157, -159, -156, -158, -164, -166, 
##     -158, -144, -150, -144, -107, -106, -98, -93, -79, -80, -72, 
##     -71, -72, -50, -58, -54, -50, -53, -77, -79, -75, -73, -76, 
##     -83, -82, -78, -77, -80, -81, -84, -89, -96, -95, -96, -104, 
##     -89, -99, -115, -116, -110, -120, -125, -122, -133, -137, 
##     -134, -134, -142, -159, -151, -149, -147, -140, -138, -135, 
##     -129, -131, -139, -139, -137, -140, -146, -150, -147, -138, 
##     -136, -119, -124, -109, -109, -111, -106, -85, -84, -79, 
##     -50, -54, -54, -54, -70, -67, -80, -100, -103, -93, -102, 
##     -106, -103, -113, -121, -119, 6, 17, 15, 20, 15, 11, 17, 
##     16, 12, 15, 19, 33, 31, 33, 36, 40, 41, 37, 46, 49, 47, 48, 
##     45, 48, 53, 48, 46, 52, 44, 37, 41, 54, 56, 57, 53, 52, 58, 
##     59, 59, 63, 39, 48, 50, 47, 30, 44, 47, 31, 37, 29, 26, 24, 
##     29, 15, 16, 23, 13, -4, -4, 8, -7, -21, 23, 23, 22, 25, 20, 
##     16, 22, 24, 26, 25, 27, 34, 53, 46, 51, 41, 46, 46, 42, 52, 
##     45, 48, 41, 49, 57, 49, 61, 58, 59, 47, 33, 30, 51, 61, 79, 
##     46, 63, 64, 49, 56, 58, 52, 46, 63, 67, 52, 49, 54, 29, 23, 
##     26, 39, 37, 28, 23, 24, 10, -14, -13, -11, -3, -12, -18, 
##     -20, -28, -30, -12, -9, -5, -5, -4, 0, 18, 23, 38, 47, 59, 
##     54, 56, 54, 50, 51, 61, 60, 54, 53, 42, 47, 50, 57, 61, 67, 
##     79, 79, 67, 73, 48, 48, 47, 54, 46, 43, 46, 58, 76, 46, 50, 
##     53, 41, 41, 54, 53, 44, 47, 57, 57, 56, 57, 58, 70, 61, 60, 
##     36, 42, 49, 46, 38, 47, 19, 3, -23, -14, -26, -30, -37, -38, 
##     -16, 6, 8, 11, 11, 23, 28, 34, 35, 39, 43, 47, 55, 50, 58, 
##     55, 59, 51, 47, 37, 33, 32, 30, 34, 40, 58, 51, 52, 30, 35, 
##     43, 49, 57, 46, 41, 60, 33, 27, 8, 0, -7, -3, -14, -17, -21, 
##     -21, -32, -32, -32, -41, -27, -32, -32, -32, -17, -19, -23, 
##     -23, -22, -13, -11, 72, 83, 80, 69, 58, 59, 59, 67, 54, 53, 
##     48, 44, 13, 23, 21, 9, 5, 2, 12, 12, 0, -1, 1, -12, -18, 
##     -13, -11, -9, -6, -4, -5, -9, -11, -5, 7, 17, 23, 26, 28, 
##     38, 41, 42, 40, 39, 38, 44, 43, 50, 52, 51, 54, 56, 65, 68, 
##     68, 61, 54, 55, 43, 49, 45, 34, 23, 23, 22, 21, 22, 7, 5, 
##     21, 17, -14, -3, 0, 5, 3, 7, 5, 18, 26, 43, 37, 47, 49, 46, 
##     55, 66, 70, 85, 79, 90, 89, 84, 88, 89, 86, 84, 87, 82, 84, 
##     71, 62, 54, 57, 69, 57, 51, 54, 52, 53, 45, 41, 31, 40, 35, 
##     26, 21, 26, 30, 21, 19, 19, 29, 11, -1, 0, 5, -5, -3, 8, 
##     4, 1, 7, 14, 17, 24, 26, 33, 34, 40, 45, 47, 47, 44, 54, 
##     63, 77, 66, 61, 74, 81, 71, 70, 55, 78, 84, 81, 84, 84, 72, 
##     71, 70, 70, 66, 65, 66, 58, 59, 59, 64, 51, 47, 49, 54, 33, 
##     32, 28, 25, 21, 24, 28, 23, 28, 23, 16, 10, 21, 25, 26, 21, 
##     20, 23, 21, 19, 22, 21, 19, 16, 19, 18, 19, 20, 19, 24, 20, 
##     22, 24, 22, 20, 19, 16, 17, 18, 17, 18, 9, 8, 2, -8, -16, 
##     -23, -28, -35, -37, -39, -40, -42, -42, -46, -46, -47, -48, 
##     -48, -50, -53, -52, -53, -56, -57, -53, -51, -47, -50, -51, 
##     -50, -45, -46, -48, -49, 89, 88, 93, 91, 84, 86, 82, 78, 
##     77, 57, 56, 54, 56, 56, 49, 56, 59, 59, 56, 56, 56, 69, 80, 
##     88, 88, 74, 88, 102, 89, 90, 95, 97, 92, 95, 98, 95, 94, 
##     100, 96, 96, 93, 97, 95, 90, 88, 93, 79, 65, 63, 68, 70, 
##     74, 77, 70, 76, 72, 84, 104, 104, 98, 100, 114, 118, 80, 
##     74, 83, 108, 104, 103, 105, 97, 97, 101, 102, 98, 102, 97, 
##     94, 97, 97, 101, 103, 104, 98, 97, 96, 94, 99, 93, 97, 84, 
##     73, 69, 75, 65, 61, 57, 61, 65, 70, 66, 96, 76, 94, 80, 93, 
##     104, 95, 90, 104, 104, 93, 94, 88, 89, 90, 88, 90, 103, 98, 
##     98, 99, 96, 84, 79, 79, 77, 87, 88, 6, 6, 6, 6, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
##     6, 6, 6, 6, 6, 6, 6, -5, -15, -9, -9, -9, -9, -9, -9, -12, 
##     -14, -18, -18, -15, -8, -8, -8, -12, -18, -12, -10, -16, 
##     -19, -13, -19, -10, -16, -12, -5, -11, -17, -16, -16, -17, 
##     -15, -15, -12, -12, -14, -11, -8, -1, -19, 4, -11, -1, 6, 
##     -11, -3, -9, -3, 3, -11, 2, -8, -8, -10, -5, -1, -3, 4, 3, 
##     -7, -9, -12, -13, -13, -8, -7, -5, -8, -8, -8, -6, -6, -9, 
##     -11, -13, -11, -12, -9, -15, -14, -14, -14, -17, -5, -10, 
##     -15, -10, -14, -8, -20, -34, -19, -17, -19, -16, -14, -15, 
##     -14, -11, -7, -17, -18, -11, -10, -9, -3, -8, -14, -6, -9, 
##     -13, 0, -9, -13, -5, -13, 4, 17, 19, 5, 14, 14, 10, 13, 28, 
##     24, 16, 9, 13, 18, 20, 18, 20, 14, 9, 5, -2, 3, -1, 2, -9, 
##     -6, -6, -9, -11, -12, -11, -12, -11, -11, -15, -10, -13, 
##     -18, -22, -28, -27, -27, -31, -24, -38, -38, -23, -28, -28, 
##     -23, -29, -34, -30, -24, -15, -22, -18, -16, -8, 2, 1, -21, 
##     -12, -4, -4, -4, -4, -4, -4, -4, 9, 12, 8, 6, 4, -9, -20, 
##     -15, -17, -16, -14, -12, -5, 4, 5, -3, -15, -8, -8, -8, -10, 
##     -6, -5, -9, -11, -7, -11, -15, -10, -26, -25, -30, -27, -22, 
##     -22, -24, -37, -40, -26, -23, -23, -12, -11, -29, -19, -18, 
##     -27, -18, -15, -22, -20, -13, -22, -24, -23, -25, -20, -10, 
##     -15, -18, -18, -15, -15, -14, -21, -23, -25, -21, -5, -13, 
##     5, 7, 2, -6, -2, 6, -3, 0, -10, -8, -9, 1, -2, -15, -20, 
##     -6, -5, -10, -19, -26, -28, -26, -27, -22, -21, -16, -18, 
##     -16, -8, -9, -14, -13, -17, -23, -21, -23, -22, -21, -25, 
##     -19, -9, -4, -12, -25, -22, -18, -7, -7, -13, -5, -12, -11, 
##     -9, -5, -3, -8, -2, 0, -3, -2, -1, -4, 12, -11, -20, -2, 
##     7, 1, 0, 1, 3, 14, 7, 1, 3, 5, -7, -9, -12, -15, -4, -1, 
##     -6, -7, -10, -10, -10, -18, -14, 5, 8, -3, -15, -13, -4, 
##     -16, -16, -15, -11, -13, -10, 2, -12, -20, -19, -14, -19, 
##     -24, -21, -11, -2, 7, 13, 14, 9, -1, -1, -3, 3, 0, 8, 2, 
##     -3, -10, -6, -3, -2, -7, -6, -4, -7, -9, -10, -4, -12, -8, 
##     -4, -3, -9, -12, -5, -11, -18, -21, -11, -14, -9, -15, -11, 
##     -7, -11, -14, -14, -10, -19, -7, -10, -15, -13, -8, -16, 
##     -14, -15, -14, -11, -7, -14, -5, 8, 11, 11, 3, -9, -11, 4, 
##     -5, -14, -3, -1, 2, 6, -20, -23, -25, -16, -11, -14, -18, 
##     -18, -25, -8, -24, -16, -14, -10, -8, -5, -11, -8, 7, -3, 
##     -13, -7, -2, -1, -3, -15, -20, -13, -8, 4, -2, 1, 11, 11, 
##     7, 4, 3, 6, 15, -1, 0, 10, 10, 5, -8, 28, 14, 1, 3, 4, 14, 
##     6, 3, 1, 22, 21, 11, 5, 15, 6, -3, 1, 7, 11, 8, 0, 0, 1, 
##     3, -1, -2, -1, -2, -5, -1, -7, -7, -14, -15, -8, -13, -10, 
##     -10, -13, -19, -22, 9, 8, -6, -24, -15, -7, 4, 11, -2, -11, 
##     -7, -3, -1, -2, -5, 0, 3, 2, 2, 3, 5, 5, 13, 11, 13, 21, 
##     21, 17, 9, 11, 15, 22, 6, 5, 5, 8, 5, 8, 12, -18, -21, -25, 
##     -33, -37, -29, -33, -34, -66, -59, -45, -35, -22, -18, -20, 
##     -19, -19, -18, -19, -22, -23, -22, -22, -18, -19, -22, -22, 
##     -21, -20, -20, -18, -24, -24, -24, -23, -22, 44, 44, 42, 
##     46, 46, 46, 42, 39, 41, 41, 39, 26, 26, 19, 15, 21, 15, 15, 
##     27, 36, 39, 42, 59, 67, 72, 76, 62, 67, 74, 76, 87, 92, 101, 
##     103, 104, 98, 95, 95, 97, 92, 90, 86, 79, 84, 67, 66, 70, 
##     69, 50, 60, 56, 49, 50, 49, 46, 62, 73, 76, 74, 80, 81, 88, 
##     78, 71, 73, 79, 89, 104, 109, 106, 101, 107, 107, 96, 103, 
##     97, 85, 77, 74, 66, 85, 69, 57, 58, 57, 55, 52, 55, 94, 95, 
##     89, 88, 72, 76, 74, 64, 56, 55, 57, 56, 67, 71, 76, 79, 95, 
##     91, 104, 100, 102, 100, 102, 100, 99, 98, 104, 112, 114, 
##     111, 108, 115, 113, 116, 114, 117, 113, 115, 116, 113, 106, 
##     100, 88, 97, 97, 88, 83, 82, 68, 70, 69, 66, 63, 63, 64, 
##     66, 70, 77, 81, 96, 112, 108, 103, 101, 103, 93, 96, 92, 
##     87, 90, 111, 113, 114, 117, 119, 116, 119, 114, 113, 109, 
##     100, 102, 94, 99, 99, 95, 89, 80, 92, 94, 70, 71, 63, 65, 
##     61, 55, 69, 91, 93, 93, 97, 107, 106, 101, 105, 93, 95, 96, 
##     95, 93, 94, 84, 86, 87, 100, 102, 111, 106, 105, 105, 100, 
##     105, 108, 93, 101, 93, 84, 95, 87, 85, 86, 79, 74, 71, 70, 
##     77, 81, 87, 85, 83, 97, 103, 112, 111, 105, 101, 101, 100, 
##     102, 96, 91, 95, 102, 102, 110, 111, 113, 113, 117, 118, 
##     121, 121, 106, 107, 98, 106, 95, 105, 91, 80, 87, 82, 82, 
##     90, 94, 91, 91, 96, 98, 102, 106, 104, 107, 111, 110, 94, 
##     94, 103, 108, 108, 111, 110, 105, 103, 100, 100, 99, 102, 
##     101, 103, 104, 107, 103, 102, 106, 105, 104, 113, 115, 120, 
##     119, 104, 107, 105, 111, 101, 104, 103, 99, 97, 105, 105, 
##     93, 84, 80, 85, 92, 89, 96, 99, 98, 101, 107, 115, 119, 122, 
##     115, 115, 115, 115, 109, 108, 109, 107, 108, 103, 99, 107, 
##     108, 107, 109, 105, 121, 127, 128, 123, 130, 100, 109, 113, 
##     105, 108, 118, 103, 106, 102, 108, 101, 95, 104, 89, 93, 
##     87, 88, 85, 85, 85, 83, 83, 83, 83, 77, 77, 77, 77, 71, 63, 
##     59, 59, 59, 59, 59, 54, 53, 53, 53, 53, 53, 53, 53, 53, 53, 
##     49, 40, 41, 43, 37, 39, 39, 38, 34, 31, 32, 32, 28, 25, 24, 
##     26, 26, 36, 38, 36, 36, 36, 36, 36, 36, 33, 36, 36, 35, 35, 
##     35, 36, 36, 35, 37, 36, 36, 36, 36, -194, -193, -197, -191, 
##     -193, -195, -191, -193, -193, -194, -193, -200, -199, -201, 
##     -200, -200, -196, -198, -201, -199, -198, -196, -200, -196, 
##     -197, -196, -189, -189, -188, -187, -183, -186, -195, -192, 
##     -196, -197, -197, -202, -203, -205, -205, -202, -211, -203, 
##     -204, -212, -211, -206, -207, -214, -214, -208, -211, -207, 
##     -208, -211, -209, -211, -208, -207, -207, -208, -207, -204, 
##     -207, -205, -208, -207, -206, -207, -205, -206, -205, -206, 
##     -205, -205, -203, -204, -205, -204, -204, -201, -203, -204, 
##     -204, -203, -203, -202, -204, -206, -201, -202, -203, -204, 
##     -205, -204, -202, -200, -200, -202, -200, -198, -202, -204, 
##     -206, -213, -198, -194, -198, -214, -202, -211, -213, -203, 
##     -203, -202, -208, -223, -225, -223, -214, -218, -214, -213, 
##     -211, -213, -215, -218, -212, -217, -216, -207, -212, -216, 
##     -221, -217, -214, -212, -218, -212, -214, -224, -230, -208, 
##     -176, -170, -174, -193, -162, -138, -136, -133, -142, -163, 
##     -172, -185, -186, -186, -181, -190, -170, -136, -131, -145, 
##     -146, -138, -198, -200, -202, -245, -261, -260, -224, -211, 
##     -201, -252, -240, -228, -217, -206, -171, -151, -147, -137, 
##     -142, -169, -177, -194, -171, -132, -147, -144, -143, -160, 
##     -152, -193, -199, -195, -231, -201, -214, -248, -218, -208, 
##     -208, -220, -200, -183, -171, -162, -157, -160, -156, -165, 
##     -158, -195, -196, -188, -198, -159, -170, -174, -177, -177, 
##     -186, -191, -193, -189, -186, -156, -161, -186, -187, -184, 
##     -183, -195, -171, -197, -188, -201, -237, -208, -319, -334, 
##     -216, -203, -194, -185, -178, -214, -242, -206, -179, -179, 
##     -187, -171, -168, -159, -153, -172, -192, -199, -182, -166, 
##     -183, -177, -172, -155, -157, -155, -155, -165, -160, -165, 
##     -187, -191, -149, -188, -188, -153, -171, -174, -173, -222, 
##     -201, -198, -184, -190, -187, -195, -184, -182, -193, -174, 
##     -163, -174, -174, -159, -181, -179, -173, -176, -164, -161, 
##     -166, -160, -173, -169, -175, -181, -161, -169, -163, -148, 
##     -146, -153, -144, -148, -149, -167, -168, -187, -155, -190, 
##     -161, -225, -213, -181, -178, -176, -196, -201, -192, -186, 
##     -164, -150, -157, -169, -154, -163, -172, -174, -176, -165, 
##     -165, -163, -161, -151, -176, -175, -168, -149, -148, -150, 
##     -152, -170, -179, -204, -201, -168, -178, -157, -152, -160, 
##     -149, -135, -143, -171, -156, -197, -185, -184, -188, -189, 
##     -163, -192, -218, -198, -260, -284, -192, -206, -201, -190, 
##     -189, -201, -209, -198, -184, -160, -171, -172, -163, -154, 
##     -151, -149, -148, -135, -141, -133, -138, -143, -212, -131, 
##     -133, -137, -134, -135, -136, -136, -133, -132, -136, -138, 
##     -134, -128, -129, -126, -122, -116, -121, -122, -125, -129, 
##     -127, -127, -134, -137, -139, -128, -142, -140, -133, -130, 
##     -142, -137, -138, -136, -137, -140, -140, -138, -138, -136, 
##     -133, -131, -135, -134, -130, -129, -132, -128, -133, -130, 
##     -128, -133, -132, -130, -136, -138, -134, -137, -132, -131, 
##     -132, -131, -131, -134, -131, -136, -136, -136, -132, -130, 
##     -137, -132, -135, -135, -135, -135, -132, -136, -129, -131, 
##     -136, -125, -131, -136, -134, -142, -137, -145, -146, -144, 
##     -145, -145, -144, -140, -142, -142, -141, -141, -141, -139, 
##     -145, -144, -139, -140, -138, -134, -130, -129, -132, -143, 
##     -137, -139, -140, -143, -141, -139, -138, -139, -142, -143, 
##     -144, -142, -139, -138, -134, -138, -140, -142, -140, -139, 
##     -151, -147, -137, -139, -135, -130, -132, -133, -135, -142, 
##     -140, -146, -145, -145, -145, -143, -149, -151, -149, -150, 
##     -147, -149, -147, -148, -144, -141, -136, -124, -122, -132, 
##     -126, -130, -136, -134, -136, -133, -138, -133, -135, -132, 
##     -132, -128, -125, -127, -134, -135, -138, -131, -130, -132, 
##     -135, -134, -132, -134, -136, -130, -134, -135, -131, -132, 
##     -132, -134, -126, -120, -125, -125, -134, -140, -141, -138, 
##     -139, -144, -145, -143, -153, -146, -144, -142, -140, -139, 
##     -138, -135, -133, -132, -133, -131, -130, -128, -130, -135, 
##     -138, -136, -137, -141, -139, -144, -142, -145, -145, -137, 
##     -138, -157, -169, -165, -176, -178, -180, -169, -164, -143, 
##     -144, -148, -150, -152, -156, -159, -169, -177, -182, -182, 
##     -181, -180, -183, -165, -165, -166, -164, -168, -173, -176, 
##     -185, -195, -197, -193, -194, -190, -192, -192, -196, -195, 
##     -191, -191, -187, -184, -180, -175, -166, -167, -167, -169, 
##     -163, -155, -158, -155, -160, -163, -171, -172, -167, -167, 
##     -170, -173, -172, -175, -175, -177, -176, -171, -159, -172, 
##     -156, -157, -150, -144, -139, -140, -140, -135, -121, -122, 
##     -117, -107, -106, -106, -99, -87, -85, -80, -83, -82, -79, 
##     -87, -87, -80, -76, -80, -117, -124, -126, -124, -121, -139, 
##     -139, -139, -139, -144, -153, -169, -164, -155, -142, -138, 
##     -142, -151, -158, -161, -163, -162, -158, -146, -143, -140, 
##     -114, -115, -102, -88, -78, -75, -83, -82, -73, -78, -83, 
##     -78, -65, -84, -84, -76, -74, -76, -77, -77, -75, -76, -77, 
##     -75, -68, -67, -62, -71, -76, -76, -77, -67, -73, -77, -82, 
##     -90, -93, -96, -96, -100, -109, -114, -119, -127, -132, -134, 
##     -137, -141, -136, -125, -133, -131, -131, -142, -169, -167, 
##     -127, -139, -145, -154, -148, -144, -149, -152, -152, -134, 
##     -124, -115, -110, -79, -71, -73, -73, -73, -73, -74, -75, 
##     -71, -68, -65, -70, -79, -80, -89, -105, -105, -129, -135, 
##     -141, -142, -142, -113, -111, -88, -82, -79, -80, -80, -75, 
##     -72, -76, -73, -74, -76, -75, -76, -78, -71, -76, -81, -80, 
##     -76, -78, -74, -73, -73, -68, -74, -70, -68, -76, -77, -76, 
##     -78, -77, -79, -76, -82, -84, -88, -94, -94, -99, -103, -113, 
##     -112, -163, -167, -168, -170, -167, -164, -159, -156, -157, 
##     -154, -151, -150, -148, -140, -140, -138, -140, -140, -137, 
##     -139, 30, 52, 145, 130, 141, 138, 73, 123, 101, 125, 86, 
##     102, 123, 130, 88, 70, 118, 115, 111, 100, 106, 103, 105, 
##     114, 106, 111, 104, 103, 113, 115, 119, 114, 113, 111, 91, 
##     63, 81, 102, 94, 92, 93, 108, 90, 91, 104, 108, 110, 109, 
##     106, 108, 113, 107, 105, 105, 108, 112, 92, 85, 80, 62, 110, 
##     116, 42, 38, 49, 77, 87, 95, 112, 134, 117, 107, 126, 78, 
##     102, 100, 81, 95, 97, 94, 108, 104, 106, 83, 88, 91, 91, 
##     91, 85, 88, 105, 96, 98, 94, 97, 90, 91, 103, 116, 119, 102, 
##     111, 113, 116, 115, 110, 109, 107, 106, 97, 72, 81, 88, 88, 
##     92, 83, 80, 61, 59, 88, 82, 86, 94, 99, 117, 117, 102, 105, 
##     97, 99, 92, 102, 106, 102, 97, 81, 91, 96, 90, 74, 71, 98, 
##     103, 96, 107, 110, 113, 97, 114, 117, 87, 71, 82, 81, 71, 
##     56, 115, 73, 65, 58, 106, 72, 59, 57, 49, 50, 66, 82, 96, 
##     95, 109, 119, 121, 123, 111, 93, 107, 106, 85, 71, 73, 81, 
##     84, 100, 107, 89, 100, 91, 99, 91, 91, 81, 87, 87, 81, 80, 
##     95, 104, 111, 118, 111, 118, 110, 97, 83, 94, 91, 105, 121, 
##     116, 108, 113, 118, 112, 80, 66, 56, 87, 57, 51, 54, 98, 
##     85, 86, 67, 88, 114, 91, 77, 118, 135, 85, 102, 116, 78, 
##     74, 86, 71, 54, 51, 70, 102, 98, -146, -183, -161, -223, 
##     -230, -204, -212, -199, -200, -202, -205, -204, -199, -201, 
##     -209, -194, -215, -208, -184, -198, -210, -202, -196, -198, 
##     -200, -196, -198, -201, -190, -193, -196, -196, -198, -198, 
##     -196, -199, -199, -201, -200, -199, -200, -202, -196, -202, 
##     -200, -201, -199, -199, -199, -198, -20, -5, -6, -10, -7, 
##     -8, -12, -20, -4, 4, 6, 4, 0, -10, -16, -13, -6, -4, 13, 
##     17, 2, -242, -230, -241, -225, -224, -219, -196, -205, -214, 
##     -223, -213, -209, -202, -198, -192, -189, -168, -161, -166, 
##     -157, -161, -160, -170, -176, -174, -160, -150, -144, -139, 
##     -140, -151, -155, -154, -150, -159, -168, -147, -177, -179, 
##     -138, -183, -200, -190, -189, -192, -192, -184, -178, -179, 
##     -190, -197, -151, -150, -153, -170, -143, -128, -163, -197, 
##     -195, -203, -185, -161, -190, -195, -197, -236, -184, -185, 
##     -194, -199, -194, -194, -206, -179, -171, -173, -200, -201, 
##     -203, -203, -203, -203, -204, -203, -201, -202, -202, -202, 
##     -202, -201, -201, -201, -199, -201, -202, -202, -202, -201, 
##     -202, -202, -202, -201, -203, -203, -205, 30, 35, 34, 32, 
##     32, 34, 35, 34, 34, 33, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     39, 39, 39, 107, 103, 111, 107, 118, 125, 118, 96, 96, 103, 
##     97, 99, 86, 89, 84, 88, 92, 93, 98, 87, 95, 97, 98, 103, 
##     65, 67, 72, 82, 88, 91, 93, 94, 99, 98, 99, 97, 98, 94, 92, 
##     86, 86, 92, 100, 113, 112, 116, 116, 113, 102, 105, 109, 
##     100, 101, 80, 74, 58, 83, 66, 103, 133, 70, 88, 114, 116, 
##     87, 98, 101, 72, 75, 104, 102, 91, 82, 92, 87, 106, 86, 76, 
##     86, 103, 99, 80, 89, 86, 90, 85, 86, 75, 85, 90, 79, 87, 
##     87, 96, 95, 92, 101, 98, 97, 100, 114, 104, 96, 97, 91, 95, 
##     118, 108, 104, 90, 102, 92, 98, 110, 107, 111, 109, 106, 
##     103, 97, 89, 93, 73, 45, 48, 117, 113, 109, 97, 94, 71, 66, 
##     89, 27, 47, 76, 101, 97, 71, 80, 119, 116, 104, 87, 110, 
##     122, 74, 95, 84, 80, 96, 100, 100, 95, 93, 84, 85, 84, 79, 
##     96, 100, 91, 102, 109, 111, 96, 86, 95, 108, 110, 109, 103, 
##     108, 111, 85, 4, 6, 5, 8, 5, 6, 19, 22, 35, 30, 42, 43, 30, 
##     50, 61, 64, 66, 57, 54, 53, 50, 46, 60, 70, 86, 90, 98, 102, 
##     100, 88, 88, 80, 82, 86, 86, 78, 74, 56, 59, 57, 34, 49, 
##     42, 38, 37, 4, 3, 11, 17, 15, -4, 11, 44, 39, 34, 31, 45, 
##     35, 54, 56, 55, 56, 49, 54, 58, 85, 89, 87, 84, 84, 61, 67, 
##     56, 38, 29, 32, 36, 37, 17, 9, 5, 13, -10, 2, 7, -4, -2, 
##     1, -3, 1, 4, 3, 7, 25, 35, 46, 50, 54, 48, 43, 42, -66, -62, 
##     -74, -70, -75, -79, -77, -60, -73, -73, -75, -80, -154, -164, 
##     -165, -167, -152, -160, -169, -173, -167, -168, -164, -170, 
##     -176, -176), magnet_dumbbell_x = c(-559, -555, -561, -552, 
##     -554, -558, -551, -555, -549, -558, -564, -554, -552, -554, 
##     -554, -554, -551, -557, -559, -558, -554, -554, -557, -558, 
##     -555, -563, -556, -555, -552, -562, -558, -555, -556, -556, 
##     -560, -554, -558, -552, -563, -554, -555, -560, -554, -551, 
##     -560, -559, -558, -557, -554, -555, -554, -561, -553, -562, 
##     -558, -555, -551, -557, -559, -555, -558, -557, -554, -553, 
##     -564, -558, -550, -556, -557, -553, -552, -561, -561, -553, 
##     -556, -563, -555, -553, -555, -562, -554, -554, -558, -557, 
##     -558, -551, -551, -560, -562, -550, -563, -556, -555, -557, 
##     -558, -558, -559, -557, -557, -557, -557, -557, -562, -559, 
##     -556, -566, -555, -562, -555, -561, -560, -554, -559, -558, 
##     -560, -555, -563, -561, -559, -557, -562, -558, -551, -555, 
##     -554, -551, -555, -562, -559, -552, -552, -552, -552, -552, 
##     -552, -552, -552, -552, -552, -552, -552, -552, -552, -552, 
##     -552, -552, -552, -552, -552, -552, -552, -526, -519, -522, 
##     -505, -505, -497, -489, -486, -486, -471, -470, -473, -467, 
##     -464, 499, 494, 495, 499, 493, 497, 489, 491, 485, 485, 484, 
##     478, 483, 468, 470, 468, 459, 458, 454, 456, 458, 456, 461, 
##     463, 467, 470, 472, 479, 474, 475, 477, 476, 475, 478, 471, 
##     473, 486, 479, 482, 485, 477, 479, 483, 479, 480, 477, 476, 
##     479, 480, 475, 479, 479, 478, 476, 482, 482, 475, 477, 475, 
##     476, 483, 480, 485, 488, 481, 480, 484, 483, 482, 487, 485, 
##     480, 488, 482, 481, 479, 486, 478, 483, 478, 487, 487, 489, 
##     478, 481, 487, 476, 478, 478, 483, 479, 473, 473, 471, 472, 
##     477, 471, 476, 475, 473, 478, 476, 474, 479, 476, 473, 483, 
##     482, 479, 479, 483, 485, 484, 486, 484, 488, 483, 483, 486, 
##     484, 476, 486, 479, 480, 479, 484, 481, 479, 486, 480, 483, 
##     484, 488, 487, 484, 494, 486, 493, 491, 497, 501, 505, 495, 
##     506, 511, 508, 504, 514, 512, 512, 513, 511, 516, 520, 525, 
##     521, 521, 504, 483, 481, 495, 502, 503, 501, 511, 511, 514, 
##     521, 519, 508, 520, 509, 507, 508, 510, 497, 503, 500, 501, 
##     495, 490, 484, 485, 481, 482, 483, 487, 500, 506, 508, 514, 
##     511, 515, 518, 506, 514, 511, 515, 510, 510, 510, 505, 504, 
##     496, 493, 495, 492, 485, 485, 487, 495, 501, 508, 512, 517, 
##     514, 516, 509, 516, 524, 520, 520, 521, 525, 528, 526, 522, 
##     523, 527, 520, 517, 517, 520, 518, 520, 523, 514, 515, 517, 
##     521, 508, 517, 512, 505, 511, 511, 519, 517, 517, 519, 511, 
##     508, 503, 498, 492, 485, 483, 492, 497, 498, 508, 517, 516, 
##     518, 521, 523, 530, 533, 528, 535, 527, 535, 532, 533, 527, 
##     532, 534, 526, 526, 533, 528, 525, 522, 515, 518, 512, 511, 
##     513, 512, 516, 517, 525, 516, 516, 520, 517, 524, 518, 516, 
##     518, 529, 526, 532, 520, 523, 518, 523, 525, 526, 524, 516, 
##     519, 524, 523, 517, 519, 516, 518, 517, 515, 503, 503, 497, 
##     489, 480, 490, 487, 495, 499, 504, 508, 512, 518, 516, 523, 
##     523, 524, 527, 521, 525, 524, 531, 540, 539, 537, 534, 539, 
##     535, 533, 534, 533, 533, 530, 531, 527, 526, 520, 520, 510, 
##     499, 503, 504, 510, 507, 505, 516, 524, 521, 527, 524, 520, 
##     526, 521, 534, 530, 538, 537, 537, 539, 522, 519, 521, 524, 
##     525, 522, 524, 521, 522, 522, 520, 524, 526, 526, 528, 528, 
##     526, 537, 544, 532, 534, 538, 537, 532, 527, 529, 533, 527, 
##     520, 522, 526, 532, 530, 527, 533, 530, 526, 519, 514, 512, 
##     523, 523, 523, 528, 525, 525, 532, 533, 539, 542, 544, 541, 
##     549, 551, 550, 548, 542, 537, 535, 533, 524, 533, 522, 523, 
##     529, 540, 535, 538, 540, 537, 537, 537, 531, 538, 538, 538, 
##     543, 540, 551, 550, 551, 548, 546, 555, 550, 559, 550, 542, 
##     533, 531, 530, 535, 530, 536, 539, 531, 516, 519, 524, 530, 
##     526, 532, 537, 533, 539, 552, 556, 557, 556, 560, 564, 556, 
##     551, 522, 509, 511, 503, 509, 503, 515, 519, 510, 518, 521, 
##     519, 518, 526, 531, 534, 533, 531, 534, 533, 530, 536, 534, 
##     521, 521, 524, 530, 530, 531, 527, 528, 524, 527, 522, 528, 
##     527, -560, -568, -566, -569, -571, -575, -560, -571, -566, 
##     -568, -567, -569, -568, -573, -569, -567, -568, -569, -569, 
##     -563, -571, -570, -564, -568, -567, -570, -571, -568, -569, 
##     -567, -566, -563, -575, -569, -571, -573, -570, -572, -572, 
##     -571, -574, -575, -571, -573, -567, -569, -569, -575, -571, 
##     -570, -566, -577, -573, -575, -576, -575, -574, -573, -572, 
##     -574, -567, -578, -577, -572, -564, -570, -579, -571, -569, 
##     -571, -576, -574, -569, -567, -578, -578, -575, -575, -575, 
##     -578, -577, -570, -579, -579, -581, -575, -580, -581, -580, 
##     -573, -578, -577, -578, -577, -583, -582, -586, -579, -580, 
##     -583, -579, -581, -583, -577, -572, -574, -569, -567, -572, 
##     -569, -571, -570, -580, -570, -570, -573, -570, -579, -576, 
##     -580, -578, -576, -584, -579, -574, -582, -582, -582, -582, 
##     -582, -578, -582, -589, -584, -580, -586, -584, -586, -585, 
##     -581, -582, -583, -590, -578, -587, -587, -586, -589, -585, 
##     -593, -585, -584, -587, -585, -583, -589, -595, -584, -586, 
##     -586, -583, -584, -587, -589, -584, -591, -584, -587, -594, 
##     -590, -593, -583, -591, -586, -590, -581, -581, -578, -580, 
##     -593, -590, -592, -589, -581, -584, -583, -590, -585, -585, 
##     -585, -584, -584, -588, -592, -580, -585, -594, -584, -587, 
##     -584, -587, -588, -594, -591, -591, -585, -592, -590, -475, 
##     -477, -476, -478, -484, -480, -487, -494, -496, -501, -502, 
##     -500, -501, -499, -500, -505, -494, -503, -500, -506, -497, 
##     -503, -501, -506, -592, -587, -591, -591, -596, -591, -584, 
##     -595, -591, -590, -588, -595, -592, -596, -597, -589, -592, 
##     -585, -592, -590, -594, -588, -595, -594, -600, -595, -591, 
##     -593, -596, -593, -583, -591, -584, -595, -595, -591, -596, 
##     -592, -590, -590, -586, -586, -587, -590, -568, -570, -564, 
##     -570, -565, -566, -564, -562, -570, -570, -568, -561, -564, 
##     -568, -567, -565, -571, -574, -585, -592, -587, -584, -584, 
##     -585, -583, -589, -584, -583, -585, -589, -588, -585, -586, 
##     -585, -586, -587, -589, -588, -592, -590, -591, -593, -590, 
##     -589, -590, -592, -599, -589, -580, -593, -596, -592, -588, 
##     -594, -582, -576, -566, -569, -564, -557, -565, -568, -563, 
##     -578, -578, -575, -572, -575, -568, -573, -580, -569, -573, 
##     -580, -576, -574, -571, -573, -570, -566, -569, -570, -572, 
##     -569, -571, -570, -567, -576, -578, -574, -578, -581, -579, 
##     -584, -574, -585, -591, -580, -582, -579, -584, -572, -576, 
##     -575, -578, -574, -579, -573, -577, -573, -575, -575, -574, 
##     -575, -568, -575, -566, -575, -568, -574, -570, -571, -575, 
##     -575, -569, -576, -577, -574, -579, -578, -580, -579, -576, 
##     -577, -573, -566, -573, -572, -568, -569, -575, -574, -568, 
##     -575, -566, -570, -571, -574, -574, -570, -579, -581, -577, 
##     -578, -579, -572, -578, -571, -566, -569, -571, -571, -566, 
##     -569, -567, -567, -564, -572, -570, -568, -569, -568, -563, 
##     -556, -556, -551, -559, -553, -559, -552, -552, -551, -553, 
##     -552, -534, -538, -529, -526, -520, -531, -527, -525, -531, 
##     -536, -531, -533, -530, -531, -531, -530, -533, -536, -535, 
##     -536, -540, -537, -544, -544, -549, -558, -556, -568, -568, 
##     -559, -550, -544, -534, -530, -514, -514, -516, -514, -514, 
##     -516, -514, -517, -510, -507, -511, -506, -513, -504, -503, 
##     -555, -553, -554, -555, -550, -547, -548, -547, -539, -539, 
##     -532, -544, -532, -530, -531, -535, -533, -527, -526, -528, 
##     -529, -534, -534, -531, -533, -531, -528, -524, -526, -529, 
##     -523, -531, -523, -533, -536, -537, -536, -542, -541, -540, 
##     -545, -536, -542, -543, -541, -542, -549, -535, -534, -534, 
##     -528, -537, -535, -530, -525, -526, -527, -525, -526, -522, 
##     -518, -519, -516, -516, -518, -523, -520, -518, -518, -517, 
##     -515, -516, -515, -513, -554, -555, -549, -552, -556, -552, 
##     -550, -548, -544, -540, -542, -541, -538, -538, -548, -544, 
##     -544, -545, -541, -544, -536, -542, -544, -537, -537, -540, 
##     -533, -542, -540, -544, -544, -551, -554, -557, -560, -558, 
##     -562, -553, -555, -556, -548, -538, -530, -533, -532, -526, 
##     -530, -534, -532, -535, -536, -525, -529, -536, -533, -534, 
##     -529, -533, -530, -539, -540, -549, -542, -541, -548, -546, 
##     -546, -552, -554, -554, -549, -556, -544, -545, -551, -554, 
##     -555, -554, -548, -557, -544, -555, -547, -548, -536, -539, 
##     -535, -536, -542, -545, -533, -543, -543, -543, -542, -543, 
##     -542, -545, -551, -546, -542, -551, -545, -552, -550, -552, 
##     -554, -555, -552, -547, -553, -554, -554, -548, -542, -549, 
##     -529, -539, -534, -537, -534, -542, -530, -532, -533, -532, 
##     -528, -532, -531, -534, -529, -531, -532, -534, -530, -531, 
##     -539, -533, -531, -535, -536, -546, -539, -545, -553, -547, 
##     -556, -558, -563, -553, -555, -553, -556, -560, -561, -564, 
##     -564, -560, -557, -564, -560, -553, -559, -562, -558, -548, 
##     -549, -552, -554, -550, -549, -552, -554, -551, -552, -552, 
##     -554, -549, -559, -547, -550, -553, -550, -547, -548, -549, 
##     -546, -560, -551, -560, -558, -565, -563, -551, -550, -547, 
##     -535, -532, -526, -521, -514, -515, -521, -521, -517, -519, 
##     -519, -521, -519, -517, -515, -514, -516, -510, -515, -508, 
##     -502, -511, -512, -511, -514, -547, -543, -546, -550, -543, 
##     -548, -544, -542, -549, -552, -551, -553, -556, -561, -552, 
##     -551, -550, -548, -546, -531, -530, -535, -535, -529, -534, 
##     -521, -533, -523, -522, -526, -524, -522, -520, -525, -525, 
##     -522, -521, -513, -521, -522, -515, -520, -512, -510, -525, 
##     -516, -527, -518, -520, -516, -519, -523, -533, -528, -537, 
##     -529, -539, -537, -545, -548, -547, -547, -544, -548, -548, 
##     -543, -551, -547, -549, -547, -544, -547, -548, -543, -547, 
##     -543, -541, -542, -542, -540, -537, -541, -539, -537, -538, 
##     -539, -546, -549, -543, -499, -502, -509, -513, -508, -512, 
##     -516, -512, -516, -515, -515, -512, -521, -516, -520, -526, 
##     -526, -526, -527, -530, -531, -531, -530, -535, -534, -541, 
##     -532, -534, -541, -535, -538, -541, -539, -545, -438, -438, 
##     -438, -438, -438, -438, -438, -438, -438, -438, -438, -438, 
##     -438, -438, -438, -438, -438, -438, -438, -438, -438, -438, 
##     -438, -438, -438, -438, -438, -438, -438, -438, -438, -438, 
##     -438, -438, -438, -438, -438, -438, -438, -438, -438, -438, 
##     -438, -438, -438, -438, -438, -438, -438, -438, -438, -438, 
##     -438, -438, -438, -438, -438, -438, -438, -438, -372, -369, 
##     -359, -356, -357, -353, -349, -341, -330, -355, -349, -362, 
##     -361, -371, -383, -391, -400, -409, -415, -423, -418, -419, 
##     -426, -427, -421, -435, -430, -437, -436, -433, -435, -435, 
##     -439, -437, -438, -437, -432, -433, -434, -427, -431, -425, 
##     -427, -423, -424, -421, -429, -427, -426, -427, -425, -422, 
##     -436, -434, -447, -440, -441, -438, -434, -409, -407, -388, 
##     -379, -370, -357, -350, -343, -319, -307, -299, -293, -281, 
##     -265, -272, -267, -267, -268, -267, -263, -259, -260, -262, 
##     -270, -275, -280, -293, -332, -355, -363, -371, -404, -407, 
##     -407, -418, -422, -426, -424, -431, -437, -435, -437, -435, 
##     -434, -428, -430, -422, -420, -428, -422, -419, -417, -412, 
##     -411, -412, -411, -415, -411, -415, -407, -408, -422, -435, 
##     -426, -430, -424, -420, -428, -418, -419, -416, -409, -401, 
##     -398, -403, -391, -391, -385, -376, -374, -368, -357, -339, 
##     -316, -307, -289, -401, -403, -395, -405, -400, -401, -407, 
##     -399, -410, -409, -408, -415, -408, -406, -409, -410, -406, 
##     -407, -411, -430, -429, -431, -435, -438, -436, -431, -433, 
##     -414, -409, -394, -385, -371, -367, -349, -321, -304, -263, 
##     -262, -265, -261, -260, -258, -263, -256, -265, -268, -275, 
##     -288, -298, -300, -313, -312, -324, -331, -339, -343, -347, 
##     -407, -409, -406, -406, -410, -409, -412, -406, -411, -398, 
##     -407, -415, -417, -424, -427, -428, -427, -432, -431, -423, 
##     -397, -372, -356, -326, -318, -312, -292, -289, -286, -285, 
##     -284, -280, -261, -257, -257, -299, -308, -313, -326, -329, 
##     -342, -340, -351, -364, -374, -375, -385, -293, -290, -282, 
##     -299, -295, -313, -314, -325, -329, -345, -341, -347, -346, 
##     -355, -350, -363, -369, -369, -376, -371, -377, -386, -388, 
##     -387, -391, -393, -390, -395, -392, -402, -411, -416, -414, 
##     -418, -408, -416, -421, -415, -417, -417, -421, -412, -418, 
##     -412, -411, -411, -402, -388, -399, -383, -379, -383, -373, 
##     -374, -370, -368, -362, -360, -342, -340, -334, -326, -311, 
##     -298, -263, -259, -275, -290, -298, -315, -329, -334, -336, 
##     -338, -343, -348, -357, -348, -348, -351, -364, -363, -364, 
##     -365, -364, -361, -363, -368, -363, -363, -373, -366, -384, 
##     -384, -394, -392, -401, -410, -408, -420, -417, -420, -418, 
##     -410, -414, -412, -414, -413, -413, -406, -412, -407, -408, 
##     -396, -392, -394, -356, -330, -309, -294, -273, -265, -241, 
##     -230, -232, -234, -231, -237, -244, -243, -250, -259, -256, 
##     -259, -275, -412, -410, -418, -430, -434, -440, -450, -451, 
##     -442, -444, -435, -434, -429, -423, -422, -416, -415, -411, 
##     -412, -407, -416, -408, -415, -423, -424, -425, -430, -435, 
##     -438, -442, -441, -445, -445, -440, -439, -434, -436, -438, 
##     -435, -438, -439, -434, -431, -436, -437, -436, -442, -437, 
##     -438, -434, -435, -436, -442, -438, -435, -441, -432, -439, 
##     -438, -437, -439, -443, -438, -432, -440, -440, -441, -442, 
##     -437, -442, -449, -445, -445, -449, -445, -448, -450, -448, 
##     -444, -450, -457, -456, -456, -463, -459, -456, -468, -470, 
##     -474, -469, -453, -439, -403, -379, -368, -353, -339, -275, 
##     -244, -225, -175, -36, 23, 35, 73, 142, 161, 177, 202, 202, 
##     236, 230, 221, 205, 198, 94, 70, -26, -58, -193, -205, -341, 
##     -351, -363, -389, -457, -466, -463, -468, -475, -470, -474, 
##     -474, -481, -482, -482, -489, -486, -491, -484, -487, -492, 
##     -488, -487, -498, -489, -490, -484, -457, -432, -403, -386, 
##     -354, -354, -281, -227, -561, -557, -560, -557, -561, -554, 
##     -564, -561, -561, -564, -561, -558, -563, -564, -559, -559, 
##     -558, -554, -558, -553, -563, -561, -561, -554, -552, -558, 
##     -558, -559, -561, -556, -561, -558, -559, -562, -561, -554, 
##     -562, -557, -563, -555, -562, -559, -558, -556, -563, -554, 
##     -565, -560, -553, -560, -558, -562, -558, -559, -567, -559, 
##     -563, -562, -560, -565, -561, -559, -557, -563, -551, -560, 
##     -562, -555, -565, -564, -559, -556, -561, -557, -560, -556, 
##     -560, -556, -559, -564, -556, -558, -563, -562, -564, -558, 
##     -556, -563, -559, -557, -559, -559, -559, -563, -563, -564, 
##     -559, -566, -560, -567, -561, -554, -558, -552, -565, -563, 
##     -559, -558, -563, -560, -559, -558, -553, -554, -557, -568, 
##     -558, -561, -561, -564, -556, -560, -566, -563, -560, -562, 
##     -560, -565, -563, -557, -563, -555, -560, -564, -562, -567, 
##     -560, -561, -560, -553, -563, -565, -561, -561, -561, -559, 
##     -564, -566, -559, -558, -556, -556, -555, -563, -566, -558, 
##     -558, -561, -561, -564, -565, -561, -563, -558, -561, -550, 
##     -559, -554, -561, -563, -562, -555, -562, -561, -555, -561, 
##     -562, -560, -559, -560, -559, -565, -560, -559, -559, -561, 
##     -553, -561, -559, -557, -554, -559, -558, -561, -560, -561, 
##     -556, -564, -560, -552, -554, -561, -566, -557, -559, -563, 
##     -553, -551, -551, -550, -551, -559, -559, -550, -551, -552, 
##     -559, -550, -557, -554, -551, -563, -556, -557, -547, -548, 
##     -552, -552, -550, -547, -546, -546, -543, -534, -533, -522, 
##     -519, -508, -508, -501, -503, -510, -506, -506, -508, -509, 
##     -514, -513, -510, -513, -513, -516, -519, -513, -516, -518, 
##     -518, -520, -511, -522, -518, -516, -518, -522, -519, -523, 
##     -520, -522, -515, -518, -518, -520, -511, -515, -516, -519, 
##     -516, -514, -519, -517, -516, -522, -525, -526, -524, -536, 
##     -528, -528, -531, -528, -521, -531, -531, -525, -530, -530, 
##     -527, -523, -526, -523, -531, -524, -522, -528, -528, -530, 
##     -521, -520, -523, -517, -519, -526, -521, -526, -519, -524, 
##     -526, -520, -519, -521, -527, -520, -525, -525, -510, -520, 
##     -519, -517, -518, -518, -519, -523, -516, -516, -522, -521, 
##     -515, -519, -518, -519, -518, -524, -520, -522, -521, -521, 
##     -520, -525, -524, -520, -523, -519, -517, -521, -460, -456, 
##     -456, -451, -456, -453, -457, -472, -474, -482, -485, -492, 
##     -494, -494, -496, -506, -505, -503, -503, -509, -504, -514, 
##     -513, -512, -515, -518, -517, -519, -518, -519, -509, -505, 
##     -514, -502, -513, -510, -505, -514, -506, -511, -505, -507, 
##     -513, -514, -518, -515, -532, -531, -533, -524, -527, -528, 
##     -535, -535, -540, -538, -537, -537, -543, -534, -534, -535, 
##     -543, -542, -534, -537, -541, -541, -533, -527, -527, -527, 
##     -527, -526, -529, -516, -517, -511, -504, -497, -486, -485, 
##     -486, -485, -490, -487, -491, -494, -496, -504, -506, -503, 
##     -504, -515, -516, -511, -514, -519, -514, -517, -519, -518, 
##     -521, -522, -521, -521, -523, -516, -514, -515, -517, -511, 
##     -518, -516, -511, -513, -503, -507, -517, -517, -517, -521, 
##     -522, -524, -521, -523, -532, -530, -529, -527, -531, -533, 
##     -541, -547, -540, -537, -535, -538, -531, -535, -536, -545, 
##     -538, -535, -538, -522, -531, -519, -512, -507, -503, -501, 
##     -500, -505, -504, -510, -520, -524, -524, -522, -522, -523, 
##     -523, -526, -535, -533, -520, -524, -520, -518, -521, -518, 
##     -523, -518, -513, -517, -515, -516, -520, -528, -527, -528, 
##     -533, -529, -536, -525, -528, -533, -530, -529, -534, -535, 
##     -530, -535, -541, -535, -540, -524, -533, -534, -529, -534, 
##     -539, -526, -541, -534, -539, -531, -527, -516, -519, -520, 
##     -505, -506, -503, -509, -501, -507, -511, -518, -514, -519, 
##     -519, -523, -526, -526, -529, -533, -529, -530, -532, -538, 
##     -539, -540, -544, -535, -547, -538, -534, -526, -525, -526, 
##     -524, -516, -511, -515, -518, -528, -522, -531, -532, -539, 
##     -545, -543, -540, -544, -542, -546, -553, -547, -551, -549, 
##     -550, -543, -554, -539, -549, -546, -552, -548, -549, -548, 
##     -547, -548, -532, -533, -531, -519, -512, -525, -523, -535, 
##     -534, -533, -546, -547, -548, -545, -548, -549, -532, -541, 
##     -536, -543, -534, -536, -533, -535, -532, -539, -528, -521, 
##     -527, -524, -516, -518, -533, -536, -537, -537, -546, -546, 
##     -542, -552, -553, -546, -552, -552, -551, -548, -546, -545, 
##     -547, -551, -544, -552, -542, -545, -538, -535, -530, -528, 
##     -529, -522, -526, -534, -536, -534, -538, -539, -538, -540, 
##     -541, -537, -541, -535, -533, -540, -539, -536, -540, -538, 
##     -540, -537, -539, -537, -535, -526, -518, -522, -517, -515, 
##     -510, -517, -519, -517, -524, -526, -527, -530, -532, -540, 
##     -535, -539, -539, -534, -530, -533, -541, -547, -548, -546, 
##     -545, -532, -537, -535, -524, -530, -523, -522, -520, -520, 
##     -516, -537, -534, -542, -539, -542, -541, -542, -544, -538, 
##     -537, -543, -538, -540, -549, -542, -539, -541, -540, -542, 
##     -540, -542, -540, -536, -544, -529, -548, -546, -549, -550, 
##     -546, -551, -548, -553, -553, -545, -552, -548, -549, -551, 
##     -554, -552, -555, -557, -557, -551, -546, -546, -546, -547, 
##     -546, -541, -538, -526, -519, -530, -536, -545, -542, -547, 
##     -542, -552, -552, -551, -550, -551, -550, -556, -551, -545, 
##     -544, -543, -546, -539, -538, -543, -538, -533, -521, -519, 
##     -523, -516, -510, -513, -508, -511, -521, -524, -530, -528, 
##     -535, -532, -542, -539, -537, -538, -538, -542, -552, -546, 
##     -545, -541, -541, -541, -535, -544, -537, -523, -519, -516, 
##     -517, -521, -518, -518, -517, -521, -518, -518, -524, -532, 
##     -530, -535, -528, -534, -536, -539, -538, -541, -548, -545, 
##     -551, -550, -543, -543, -543, -548, -546, -545, -541, -546, 
##     -548, -543, -549, -543, -544, -541, -537, -542, -537, -539, 
##     -533, -519, -520, -524, -517, -519, -517, -524, -533, -531, 
##     -544, -538, -548, -545, -544, -541, -546, -539, -537, -537, 
##     -536, -539, -532, -533, -536, -539, -534, -538, -534, -536, 
##     -535, -542, -544, -545, -539, -549, -547, -547, -543, -548, 
##     -553, -548, -543, -543, -538, -540, -546, -547, -541, -542, 
##     -547, -541, -549, -538, -546, -548, -538, -536, -549, -540, 
##     -542, -545, -543, -546, -537, -543, -550, -544, -548, -549, 
##     -542, -551, -548, -545, -543, -554, -551, -548, -540, -556, 
##     -547, -550, -552, -543, -551, -541, -547, -548, -551, -550, 
##     -540, -549, -537, -550, -547, -550, -526, -522, -518, -519, 
##     -518, -518, -523, -521, -522, -521, -520, -521, -526, -516, 
##     -520, -517, -522, -520, -523, -518, -520, -521, -520, -520, 
##     -529, -524, -527, -522, -526, -517, -516, -519, -521, -527, 
##     -520, -525, -524, -526, -521, -523, -520, -521, -525, -528, 
##     -519, -521, -520, -527, -516, -519, -522, -524, -522, -524, 
##     -522, -516, -516, -519, -520, -524, -524, -517, -512, -519, 
##     -513, -521, -517, -519, -522, -519, -517, -520, -519, -518, 
##     -527, -518, -526, -518, -528, -520, -519, -519, -518, -519, 
##     -522, -522, -518, -517, -529, -520, -524, -513, -518, -516, 
##     -517, -516, -521, -516, -517, -518, -519, -521, -519, -521, 
##     -515, -519, -520, -519, -517, -518, -519, -524, -521, -520, 
##     -519, -517, -523, -514, -519, -520, -516, -520, -520, -521, 
##     -517, -520, -507, -522, -517, -520, -522, -515, -525, -524, 
##     -516, -519, -521, -521, -507, -511, -518, -518, -523, -522, 
##     -518, -518, -520, -521, -512, -510, -520, -520, -525, -511, 
##     -518, -519, -527, -520, -516, -524, -518, -522, -519, -511, 
##     -516, -521, -520, -516, -517, -517, -523, -519, -516, -520, 
##     -517, -518, -517, -523, -521, -521, -518, -519, -526, -520, 
##     -518, -524, -519, -533, -520, -523, -527, -526, -526, -527, 
##     -523, -521, -517, -518, -519, -519, -518, -521, -517, -521, 
##     -520, -515, -517, -522, -519, -522, -526, -519, -516, -522, 
##     -519, -517, -521, -519, -518, -519, -527, -527, -523, -528, 
##     -528, -521, -526, -525, -522, -520, -523, -525, -523, -522, 
##     -521, -519, -521, -525, -523, -523, -524, -525, -519, -525, 
##     -521, -527, -515, -528, -520, -519, -519, -520, -522, -529, 
##     -521, -522, -520, -517, -521, -523, -522, -525, -519, -526, 
##     -524, -522, -530, -520, -520, -526, -527, -522, -520, -524, 
##     -518, -527, -524, -525, -532, -522, -530, -527, -525, -524, 
##     -525, -524, -531, -521, -521, -533, -530, -531, -525, -524, 
##     -530, -524, -534, -527, -536, -528, -529, -525, -532, -532, 
##     -524, -522, -525, -528, -532, -530, -529, -528, -534, -528, 
##     -531, -525, -534, -527, -535, -533, -533, -533, -526, -531, 
##     -528, -516, -518, -517, -515, -514, -506, -506, -501, -495, 
##     -493, -485, -484, -478, -472, -469, -450, -441, -447, -442, 
##     -451, -451, -453, -456, -453, -448, -446, -450, -448, -457, 
##     -458, -468, -474, -468, -479, -473, -484, -485, -485, -490, 
##     -488, -493, -488, -486, -489, -484, -492, -495, -527, -527, 
##     -525, -531, -546, -536, -532, -535, -526, -527, -520, -514, 
##     -511, -508, -501, -499, -487, -476, -468, -459, -437, -424, 
##     -424, -422, -413, -423, -421, -436, -432, -425, -430, -437, 
##     -436, -433, -438, -437, -440, -448, -442, -453, -445, -461, 
##     -460, -467, -474, -465, -468, -466, -471, -504, -506, -506, 
##     -505, -507, -505, -506, -499, -497, -492, -487, -484, -469, 
##     -465, -455, -452, -443, -441, -427, -432, -426, -421, -426, 
##     -432, -419, -424, -426, -426, -431, -434, -436, -438, -444, 
##     -444, -443, -449, -447, -442, -448, -439, -450, -462, -457, 
##     -463, -470, -477, -493, -504, -511, -512, -511, -517, -509, 
##     -507, -505, -505, -504, -502, -489, -479, -472, -471, -458, 
##     -443, -434, -431, -428, -429, -422, -423, -427, -417, -425, 
##     -419, -407, -409, -409, -404, -409, -414, -418, -420, -422, 
##     -435, -437, -435, -446, -443, -440, -459, -458, -462, -466, 
##     -466, -475, -490, -498, -511, -518, -519, -519, -508, -510, 
##     -506, -500, -496, -487, -482, -487, -486, -470, -455, -458, 
##     -465, -456, -464, -468, -466, -471, -463, -453, -452, -457, 
##     -467, -465, -469, -475, -474, -479, -479, -482, -484, -485, 
##     -490, -491, -487, -492, -488, -491, -493, -493, -507, -519, 
##     -527, -525, -526, -528, -517, -514, -520, -502, -508, -500, 
##     -493, -492, -483, -483, -483, -475, -463, -455, -456, -455, 
##     -452, -463, -470, -469, -466, -472, -471, -469, -472, -467, 
##     -468, -470, -471, -481, -476, -474, -479, -475, -485, -483, 
##     -483, -485, -483, -484, -489, -491, -486, -488, -489, -489, 
##     -497, -496, -509, -507, -516, -523, -524, -528, -534, -532, 
##     -526, -521, -517, -506, -508, -502, -502, -498, -487, -461, 
##     -459, -460, -457, -474, -482, -484, -487, -473, -485, -472, 
##     -485, -474, -470, -478, -480, -487, -488, -487, -490, -499, 
##     -499, -501, -495, -500, -502, -508, -514, -530, -525, -556, 
##     -541, -547, -563, -558, -547, -554, -545, -547, -538, -542, 
##     -542, -529, -521, -519, -524, -518, -500, -499, -491, -488, 
##     -488, -481, -481, -485, -485, -500, -502, -500, -494, -489, 
##     -484, -482, -491, -495, -499, -500, -491, -495, -499, -501, 
##     -503, -497, -500, -504, -511, -515, -514, -517, -512, -513, 
##     -516, -514, -507, -514, -520, -528, -527, -523, -523, -519, 
##     -513, -511, -508, -498, -500, -500, -503, -496, -486, -479, 
##     -472, -470, -468, -458, -447, -454, -446, -453, -445, -439, 
##     -437, -444, -451, -462, -474, -485, -493, -500, -504, -507, 
##     -501, -508, -506, -519, -526, -537, -542, -536, -530, -518, 
##     -520, -512, -499, -498, -480, -476, -466, -425, -431, -434, 
##     -423, -421, -425, -422, -429, -426, -431, -434, -428, -428, 
##     -436, -439, -431, -436, -435, -430, -431, -429, -427, -430, 
##     -431, -428, -430, -432, -423, -436, -435, -437, -433, -438, 
##     -434, -438, -438, -438, -438, -438, -438, -438, -438, -438, 
##     -438, -438, -438, -438, -438, -438, -438, -438, -438, -438, 
##     -438, -547, -541, -536, -521, -516, -511, -502, -514, -507, 
##     -514, -510, -508, -512, -500, -503, -548, -552, -548, -553, 
##     -553, -552, -553, -551, -550, -548, -554, -556, -552, -559, 
##     -559, -553, -555, -562, -560, -562, -553, -554, -555, -519, 
##     -525, -536, -539, -548, -547, -548, -554, -554, -557, -552, 
##     -557, -552, -556, -555, -558, -555, -554, -551, -538, -520, 
##     -518, -522, -519, -527, -521, -530, -535, -544, -544, -548, 
##     -554, -548, -551, -553, -550, -555, -555, -557, -554, -555, 
##     -511, -505, -511, -515, -515, -521, -523, -523, -532, -532, 
##     -535, -539, -541, -546, -560, -557, -567, -555, -564, -555, 
##     -555, -516, -518, -512, -504, -496, -497, -500, -506, -496, 
##     -500, -502, -494, -512, -519, -531, -534, -542, -535, -548, 
##     -578, -583, -573, -575, -575, -579, -576, -567, -571, -574, 
##     -567, -573, -575, -577, -574, -579, -569, -571, -564, -567, 
##     -557, -557, -542, -546, -538, -520, -521, -561, -564, -568, 
##     -565, -558, -559, -569, -561, -570, -570, -575, -583, -542, 
##     -540, -538, -538, -542, -543, -544, -543, -539, -542, -539, 
##     -543, -548, -544, -553, -552, -541, -547, -539, -547, -542, 
##     -546, -548, -537, -551, -539, -538, -542, -541, -536, -545, 
##     -552, -546, -551, -543, -546, -546, -535, -544, -545, -543, 
##     -546, -539, -543, -537, -541, -540, -541, -535, -543, -540, 
##     -540, -537, -536, -535, -537, -535, -536, -532, -531, -538, 
##     -540, -541, -541, -534, -541, -537, -546, -547, -541, -547, 
##     -546, -545, -541, -543, -550, -547, -549, -546, -542, -550, 
##     -547, -552, -546, -545, -548, -557, -556, -551, -550, -551, 
##     -551, -552, -555, -552, -556, -550, -549, -544, -543, -547, 
##     -546, -549, -553, -546, -547, -545, -557, -552, -556, -551, 
##     -550, -551, -546, -544, -551, -551, -550, -552, -549, -549, 
##     -549, -551, -542, -552, -549, -549, -541, -552, -548, -549, 
##     -545, -549, -547, -546, -543, -551, -550, -540, -549, -553, 
##     -551, -544, -554, -545, -553, -552, -542, -548, -544, -554, 
##     -547, -545, -543, -547, -550, -554, -549, -553, -549, -551, 
##     -551, -553, -549, -557, -561, -554, -564, -564, -558, -559, 
##     -555, -556, -560, -556, -548, -549, -542, -539, -530, -523, 
##     -522, -513, -506, -518, -517, -527, -528, -539, -533, -539, 
##     -533, -530, -524, -524, -524, -527, -521, -521, -531, -524, 
##     -523, -518, -522, -525, -524, -526, -522, -527, -526, -523, 
##     -526, -521, -524, -524, -526, -526, -528, -529, -521, -524, 
##     -526, -532, -528, -525, -532, -526, -531, -530, -531, -532, 
##     -536, -533, -527, -535, -541, -545, -545, -549, -544, -554, 
##     -554, -553, -560, -561, -552, -553, -561, -551, -554, -552, 
##     -543, -541, -543, -541, -534, -525, -519, -517, -507, -503, 
##     -500, -506, -509, -502, -505, -514, -513, -522, -523, -519, 
##     -527, -525, -520, -527, -523, -521, -522, -532, -535, -532, 
##     -534, -538, -542, -540, -536, -539, -531, -531, -534, -526, 
##     -520, -512, -525, -521, -525, -521, -517, -518, -522, -524, 
##     -520, -524, -520, -520, -522, -522, -527, -520, -518, -522, 
##     -519, -515, -516, -516, -515, -518, -519, -507, -511, -515, 
##     -518, -515, -517, -525, -519, -521, -525, -519, -529, -532, 
##     -520, -524, -529, -523, -522, -528, -522, -532, -529, -514, 
##     -515, -506, -502, -495, -493, -492, -503, -504, -503, -506, 
##     -506, -511, -507, -509, -513, -510, -515, -513, -516, -519, 
##     -522, -514, -517, -514, -516, -522, -520, -523, -514, -519, 
##     -520, -522, -523, -517, -518, -524, -519, -521, -520, -526, 
##     -522, -530, -515, -515, -509, -513, -518, -519, -520, -522, 
##     -523, -518, -516, -515, -523, -516, -511, -512, -510, -514, 
##     -514, -506, -509, -501, -504, -496, -497, -491, -486, -483, 
##     -476, -502, -503, -510, -497, -508, -505, -504, -503, -504, 
##     -508, -501, -508, -508, -503, -501, -510, -507, -498, -499, 
##     -494, -495, -505, -509, -504, -506, -500, -513, -508, -504, 
##     -504, -503, -497, -510, -502, -493, -486, -497, -486, -480, 
##     -492, -486, -483, -475, -468, -465, -494, -494, -493, -493, 
##     -498, -495, -496, -497, -495, -502, -494, -501, -500, -501, 
##     -496, -494, -494, -500, -497, -487, -491, -491, -494, -496, 
##     -495, -499, -501, -495, -493, -495, -493, -494, -499, -499, 
##     -500, -508, -503, -509, -499, -502, -490, -493, -489, -488, 
##     -484, -483, -484, -478, -483, -476, -475, -471, -469, -467, 
##     -470, -473, -483, -476, -479, -474, -485, -485, -489, -485, 
##     -490, -493, -494, -488, -489, -494, -499, -490, -493, -501, 
##     -496, -498, -494, -494, -497, -497, -505, -506, -506, -503, 
##     -507, -502, -506, -502, -503, -504, -503, -498, -500, -497, 
##     -499, -498, -506, -501, -494, -499, -493, -499, -488, -487, 
##     -483, -483, -484, -477, -479, -474, -464, -474, -462, -464, 
##     -462, -461, -463, -466, -469, -465, -474, -466, -474, -474, 
##     -476, -479, -485, -493, -496, -491, -485, -490, -488, -488, 
##     -495, -495, -500, -494, -495, -498, -499, -499, -496, -493, 
##     -500, -502, -495, -500, -501, -498, -496, -502, -494, -497, 
##     -494, -494, -500, -495, -501, -496, -499, -496, -497, -488, 
##     -490, -500, -494, -500, -491, -491, -490, -488, -497, -481, 
##     -488, -490, -484, -488, -480, -467, -465, -460, -452, -459, 
##     -456, -459, -457, -461, -469, -468, -471, -477, -480, -481, 
##     -494, -489, -497, -502, -507, -504, -514, -513, -514, -510, 
##     -515, -515, -517, -515, -513, -517, -520, -512, -519, -515, 
##     -519, -517, -525, -521, -527, -518, -526, -527, -530, -531, 
##     -527, -535, -531, -532, -537, -536, -537, -534, -536, -541, 
##     -536, -540, -538, -491, -491, -474, -471, -452, -457, -456, 
##     -458, -463, -457, -462, -466, -465, -465, -471, -476, -472, 
##     -483, -486, -486, -489, -487, -486, -486, -487, -487, -486, 
##     -484, -488, -495, -492, -491, -481, -482, -487, -488, -482, 
##     -481, -478, -471, -481, -477, -482, -473, -475, -479, -485, 
##     -482, -490, -489, -494, -536, -545, -545, -545, -544, -542, 
##     -546, -549, -543, -542, -540, -538, -543, -538, -539, -539, 
##     -541, -534, -543, -543, -545, -537, -535, -537, -541, -542, 
##     -548, -550, -547, -549, -544, -550, -548, -549, -545, -534, 
##     -535, -529, -521, -522, -517, -511, -515, -513, -516, -518, 
##     -519, -512, -513, -509, -503, -501, -501, -505, -499, -495, 
##     -496, -491, -499, -506, -505, -520, -528, -534, -542, -536, 
##     -547, -541, -545, -547, -548, -542, -557, -550, -542, -549, 
##     -548, -549, -553, -544, -550, -551, -550, -559, -546, -553, 
##     -547, -551, -550, -551, -549, -556, -552, -546, -543, -545, 
##     -538, -541, -546, -547, -551, -546, -545, -547, -532, -528, 
##     -533, -529, -532, -532, -534, -527, -528, -513, -515, -512, 
##     -514, -513, -509, -506, -497, -502, -499, -505, -499, -463, 
##     -466, -459, -469, -474, -476, -478, -484, -478, -484, -480, 
##     -485, -484, -490, -489, -491, -494, -500, -491, -494, -488, 
##     -497, -498, -494, -499, -492, -498, -498, -492, -493, -518, 
##     -515, -503, -501, -488, -494, -490, -487, -498, -500, -496, 
##     -501, -497, -501, -502, -511, -517, -521, -525, -515, -518, 
##     -517, -519, -512, -515, -525, -526, -528, -530, -533, -536, 
##     -536, -536, -543, -533, -536, -530, -528, -526, -520, -520, 
##     -522, -521, -517, -555, -554, -555, -549, -559, -559, -554, 
##     -552, -553, -557, -554, -557, -552, -556, -554, -557, -554, 
##     -538, -536, -538, -538, -537, -537, -538, -537, -540, -546, 
##     -546, -548, -548, -541, -548, -546, -547, -550, -524, -520, 
##     -518, -523, -519, -515, -523, -522, -523, -524, -522, -520, 
##     -514, -520, -520, -520, -519, -523, -521, -525, -523, -520, 
##     -520, -527, -524, -516, -516, -519, -521, -521, -514, -511, 
##     -519, -514, -522, -514, -515, -520, -518, -517, -517, -519, 
##     -516, -516, -522, -525, -522, -522, -522, -522, -515, -520, 
##     -275, -292, -295, -300, -323, -328, -348, -364, -369, -378, 
##     -391, -411, -408, -418, -408, -415, -420, -422, -421, -438, 
##     -431, -421, -423, -415, -400, -395, -393, -382, -373, -365, 
##     -361, -346, -332, -323, -311, -311, -311, -294, -295, -390, 
##     -392, -406, -399, -413, -410, -415, -422, -418, -398, -398, 
##     -405, -412, -404, -407, -413, -408, -412, -408, -408, -410, 
##     -416, -361, -379, -382, -389, -387, -404, -406, -408, -419, 
##     -418, -418, -415, -422, -413, -419, -409, -409, -410, -408, 
##     -412, -409, -413, -410, -408, -410, -408, -407, -289, -289, 
##     -320, -332, -332, -347, -347, -357, -360, -359, -365, -370, 
##     -374, -381, -376, -386, -384, -393, -399, -406, -406, -397, 
##     -394, -397, -395, -427, -427, -427, -427, -427, -427, -427, 
##     -426, -422, -422, -422, -422, -417, -418, -418, -418, -411, 
##     -411, -404, -404, -404, -404, -404, -404, -404, -394, -423, 
##     -416, -418, -419, -424, -425, -420, -129, -419, -424, -422, 
##     -421, -421, -426, -423, -427, -422, -419, -424, -418, -423, 
##     -422, -427, -418, -424, -428, -426, -423, -422, -421, -427, 
##     -427, -424, -427, -428, -428, -426, -422, -427, -431, -430, 
##     -424, -419, -422, -429, -430, -418, -425, -429, -431, -427, 
##     -423, -425, -428, -430, -430, -426, -434, -428, -423, -431, 
##     -425, -427, -431, -430, -430, -425, -415, -423, -426, -426, 
##     -428, 541, 543, 542, 536, 541, 533, 538, 544, 536, 537, 538, 
##     534, 533, 542, 536, 535, 540, 539, 537, 526, 534, 527, 533, 
##     530, 532, 529, 554, 544, 533, 530, 526, 529, 542, 539, 539, 
##     536, 540, 533, 535, 546, 554, 550, 547, 536, 535, 539, 540, 
##     538, 531, 538, 533, 545, 543, 547, 542, 548, 548, 552, 556, 
##     556, 555, 555, 526, 528, 540, 532, 536, 541, 538, 534, 527, 
##     511, 510, 516, 514, 512, 507, 507, 510, 524, 532, 513, 503, 
##     502, 498, 500, 505, 501, 504, 502, 507, 506, 507, 517, 505, 
##     518, 523, 518, 515, 516, 515, 517, 519, 517, 512, 508, 508, 
##     509, 504, 520, 492, 498, -539, -536, -532, -538, -532, -538, 
##     -535, -534, -526, -533, -537, -534, -528, -534, -534, -533, 
##     -534, -535, -521, -530, -523, -532, -534, -535, -526, -533, 
##     -540, -545, -541, -548, -545, 524, 529, 533, 524, 532, 528, 
##     534, 537, 533, 534, 533, 532, 530, 527, 527, 533, 527, 531, 
##     533, 534, 521, 508, 509, 491, 492, 488, 497, 512, 518, 514, 
##     515, 518, 524, 526, 534, 540, 547, 548, 543, 544, 540, 547, 
##     544, 537, 530, 523, 516, 516, 507, 511, 504, 507, 504, 512, 
##     510, 508, 509, 517, 510, 516, 513, 507, 514, 517, 514, 510, 
##     512, 510, 504, 510, 509, 503, 508, 507, 505, 506, 504, 508, 
##     515, 518, 509, 514, 507, 340, 341, 327, 318, 266, 248, 224, 
##     201, 219, 224, 227, 242, 253, 293, 310, 325, 332, 359, 364, 
##     371, 394, 407, 416, 426, 427, 441, 457, 479, 497, 495, 498, 
##     503, 504, 506, 506, 511, 518, 525, 532, 537, 535, 531, 536, 
##     526, 531, 517, 520, 519, 504, 496, 489, 473, 454, 441, 430, 
##     406, 357, 323, 311, 269, 264, 258, 213, 223, 234, 278, 302, 
##     308, 316, 346, 348, 368, 379, 390, 390, 404, 424, 439, 448, 
##     458, 468, 471, 477, 479, 481, 486, 501, 504, 518, 524, 525, 
##     522, 521, 523, 523, 520, 464, 448, 430, 414, 390, 370, 327, 
##     318, 300, 273, 275, 253, 237, 226, 228, 209, 216, 214, 209, 
##     199, 192, 160, 153, 155, 177, 209, 215, 229, 249, 256, 264, 
##     282, 289, 353, 356, 360, 373, 405, 418, 468, 476, 485, 498, 
##     510, 511, 515, 520, 523, 518, 521, 511, 512, 494, 499, 494, 
##     483, 474, 464, 455, 427, 420, 392, 340, 336, 310, 196, 176, 
##     179, 159, 158, 148, 120, 89, 542, 536, 543, 533, 536, 535, 
##     531, 527, 518, 516, 506, 481, 445, 434, 412, 386, 373, 322, 
##     300, 298, 276, 257, 229, 188, 136, 125, 101, 88, 86, 117, 
##     244, 300, 325, 331, 345, 353, 385, 397, 416, 449, 466, 473, 
##     477, 485, 492, 502, 497, 491, 506, 521, 545, 551, 552, 551, 
##     556, 553, 553, 546, 542, 545, 539, 539, 532, 537, 529, 517, 
##     508, 490, 444, 443, 388, 343, 321, 273, 169, 153, 136, 121, 
##     107, 105, 123, 129, 132, 142, 154, 174, 249, 245, 295, 303, 
##     322, 335, 368, 399, 434, 466, 489, 533, 538, 552, 523, 521, 
##     518, 173, 183, 187, 236, 240, 258, 261, 280, 308, 342, 349, 
##     353, 365, 399, 414, 440, 448, 488, 498, 505, 533, 552, 551, 
##     557, 568, 573, 578, 570, 566, 560, 560, 550, 540, 532, 519, 
##     505, 496, 461, 436, 400, 380, 344, 277, 257, 223, 200, 182, 
##     155, 140, 41, 24, 15, 33, 86, 101, 147, 166, 190, 201, 217, 
##     240, 258, 276, 282, 298, 364, 380, 388, 407, 415, 441, 452, 
##     469, 483, 498, 507, 526, 532, 537, 538, 551, 555, 551, 553, 
##     552, 554, -548, -211, -125, 57, 96, 114, 149, 169, 208, 216, 
##     230, 295, 295, 303, 301, 297, 264, -183, -132, -100, -48, 
##     -27, 12, 88, 134, 168, 224, 235, 246, 263, 265, 267, 279, 
##     287, 289, 288, 297, 297, 297, 295, 284, 273, 224, 202, 186, 
##     176, 163, 143, 124, 80, 63, 44, 3, -21, -74, -84, -133, -163, 
##     -202, -218, -263, -286, -325, -335, -346, -386, -414, -427, 
##     -457, -470, -467, -476, -480, -486, -486, -489, -485, -492, 
##     -486, -488, -486, -481, -482, -478, -462, -459, -436, -427, 
##     -373, -360, -332, -299, -164, -94, -25, -1, 92, 155, 180, 
##     212, 228, 244, 260, 269, 282, 281, 283, 285, 300, 300, 305, 
##     305, 304, 295, 288, 283, 276, 211, 185, 179, 120, 88, 73, 
##     64, -480, -459, -456, -440, -431, -425, -356, -341, -323, 
##     -313, -274, -262, -222, -181, -160, -101, -56, 8, 84, 115, 
##     174, 220, 246, 260, 270, 275, 293, 296, 301, 306, 321, 319, 
##     327, 334, 330, 326, 298, 295, 258, 195, 181, 130, 122, 91, 
##     63, 30, -1, -34, -55, -81, -102, -186, -199, -239, -249, 
##     -264, -264, -290, -298, -302, -319, -343, -343, -343, -343, 
##     -343, -369, -466, -487, -486, -487, -500, -505, -499, -499, 
##     -503, -497, -491, -489, -482, -483, -481, -445, -414, -407, 
##     -385, 364, 355, 347, 299, 276, 267, 236, 201, 180, 123, 108, 
##     52, 14, -10, -50, -73, -81, -116, -197, -249, -274, -309, 
##     -376, -413, -423, -435, -461, -471, -489, -500, -506, -500, 
##     -490, -479, -470, -472, -470, -452, -454, -447, -440, -436, 
##     -418, -379, -348, -312, -244, -227, -192, -134, -96, 29, 
##     85, 112, 235, 251, 262, 293, 312, 333, 346, 343, 357, 351, 
##     338, 339, 299, 261, 187, 161, 101, 49, 8, -44, -87, -232, 
##     -263, -292, -298, -338, -350, -373, -414, -459, -470, -503, 
##     -509, -505, -507, -512, -495, -496, -485, -482, -471, -457, 
##     -441, -430, -406, -366, -250, -238, -202, -183, -143, -102, 
##     -37, 0, 110, 148, 174, 243, 296, 312, 316, 337, 349, 349, 
##     326, 297, 262, 182, 166, 164, 142, 109, -7, -40, -118, -169, 
##     -186, -208, -240, -259, -291, -308, -325, -336, -374, -381, 
##     -400, -429, -486, -495, -500, -505, -497, -505, -503, -506, 
##     -492, -479, -473, -460, -456, -446, -431, -409, -388, -348, 
##     -301, -203, -142, 42, -5, -55, -88, -124, -145, -195, -230, 
##     -256, -290, -310, -328, -328, -328, -341, -341, -341, -341, 
##     -359, -359, -366, -383, -431, -462, -472, -483, -491, -496, 
##     -505, -509, -503, -494, -485, -469, -451, -424, -400, -338, 
##     -322, -294, -279, -223, -195, -149, 53, 159, 181, 219, 230, 
##     262, 305, 316, 323, 342, 347, 341, 340, 315, 304, 291, 270, 
##     245, 224, 213, 144, 52, 13, -76, -88, -116, -142, -187, -215, 
##     -241, -276, -301, -315, -543, -546, -548, -550, -552, -551, 
##     -552, -553, -550, -557, -554, -556, -556, -554, -551, -548, 
##     -502, -489, -480, -446, -446, -418, -395, -395, -383, -368, 
##     -354, -354, -335, -322, -302, -302, -256, -245, -221, -210, 
##     -170, -157, -133, -132, -132, -155, -199, -240, -261, -280, 
##     -340, -393, -410, -453, -486, -525, -550, -553, -548, -552, 
##     -563, -555, -557, -563, -557, -558, -559, -554, -566, -566, 
##     -565, -566, -569, -564, -566, -564, -566, -554, -541, -537, 
##     -525, -496, -493, -465, -405, -366, -340, -298, -243, -219, 
##     -188, -118, -77, -53, -52, -53, -132, -142, -207, -262, -288, 
##     -328, -352, -359, -377, -389, -435, -430, -455, -471, -496, 
##     -518, -521, -537, -551, -562, -569, -587, -38, 13, 35, 44, 
##     71, 80, 81, 65, 37, -7, -35, -77, -141, -200, -258, -283, 
##     -312, -354, -412, -449, -462, -469, -516, -523, -526, -542, 
##     -555, -563, -569, -573, -579, -570, -571, -575, -579, -581, 
##     -574, -578, -580, -573, -561, -560, -555, -551, -544, -528, 
##     -518, -363, -405, -430, -459, -490, -512, -533, -536, -537, 
##     -552, -552, -553, -575, -577, -582, -593, -592, -595, -595, 
##     -600, -600, -603, -602, -605, -604, -602, -600, -601, -596, 
##     -600, -603, -602, -598, -591, -590, -585, -582, -573, -551, 
##     -549, -506, -486, -436, -425, -365, -326, -275, -224, -187, 
##     -155, -134, -94, -63, -23, -1, 7, 11, -3, -67, -144, -207, 
##     -282, -288, -327, -354, -365, -385, -414, -434, -493, -516, 
##     -527, -384, -402, -408, -428, -430, -438, -466, -485, -489, 
##     -501, -507, -518, -544, -548, -555, -568, -576, -578, -588, 
##     -590, -588, -592, -595, -590, -594, -592, -166, -197, -209, 
##     -226, -253, -264, -323, -336, -367, -395, -413, -424, -448, 
##     -466, -478, -495, -515, -521, -538, -556, -573, -580, -581, 
##     -596, -608, -611, -615, -620, -617, -622, -624, -624, -625, 
##     -625, -615, -616, -612, -617, -609, -609, -591, -587, -578, 
##     -561, -548, -534, -512, -487, -451, -419, -566, -587, -612, 
##     -620, -629, -620, -635, -631, -634, -639, -643, -639, -638, 
##     -638, -637, -622, -613, -610, -608, -559, -508, -503, -467, 
##     -439, -397, -333, -289, -241, -216, -203, -198, -173, -169, 
##     -143, -118, -124, -124, -137, -173, -251, -351, -361, -381, 
##     -407, -534, -567, -579, -599, -604, -616, -621, -617, -627, 
##     -621, -621, -627, -630, -623, -150, -146, -147, -157, -178, 
##     -197, -200, -218, -234, -244, -251, -277, -308, -331, -345, 
##     -366, -366, -388, -394, -408, -424, -437, -465, -471, -483, 
##     -487, -500, -501, -493, -494, -491, -492, -498, -488, -492, 
##     -490, -498, -488, -491, -492, -493, -492, -494, -487, -493, 
##     -486, -492, -478, -484, -488, -482, -481, -481, -484, -478, 
##     -483, -487, -485, -482, -479, -477, -484, -481, -481, -476, 
##     -481, -482, -487, -481, -478, -477, -480, -480, -480, -478, 
##     -481, -481, -484, -483, -483, -477, -474, -480, -481, -485, 
##     -477, -475, -483, -473, -471, -474, -480, -480, -479, -479, 
##     -480, -484, -487, -488, -490, -492, -492, -502, -509, -510, 
##     -524, -537, -449, -445, -435, -432, -433, -426, -427, -434, 
##     -435, -426, -427, -431, -424, -430, -433, -425, -434, -444, 
##     -440, -446, -439, -442, -442, -449, -449, -447, -455, -456, 
##     -460, -453, -460, -459, -470, -470, -477, -474, -475, -471, 
##     -480, -504, -510, -510, -504, -504, -508, -508, -502, -513, 
##     -510, -504, -505, -511, -515, -508, -506, -508, -510, -506, 
##     -505, -512, -511, -510, -508, -517, -517, -510, -513, -512, 
##     -515, -507, -515, -518, -510, -509, -503, -483, -449, -425, 
##     -391, -370, -361, -340, -330, -280, -207, -186, -141, -108, 
##     -103, -106, -126, -152, -221, -237, -236, -254, -271, -278, 
##     -311, -325, -394, -419, -413, -386, -345, -307, -211, -125, 
##     -111, -107, -105, -104, -126, -137, -154, -179, -182, -227, 
##     -249, -263, -321, -357, -373, -394, -397, -431, -455, -458, 
##     -501, -534, -548, -559, -557, -551, -530, -502, -491, -482, 
##     -479, -466, -458, -447, -334, -291, -249, -199, -166, -153, 
##     -144, -134, -120, -116, -116, -115, -122, -124, -141, -153, 
##     -156, -178, -188, -235, -259, -276, -316, -327, -375, -446, 
##     -461, -481, -499, -508, -527, -527, -553, -560, -573, -563, 
##     -558, -542, -541, -538, -522, -490, -472, -403, -356, -267, 
##     -238, -211, -190, -183, -139, -140, -137, -131, -137, -136, 
##     -139, -160, -169, -212, -253, -282, -325, -338, -359, -427, 
##     -489, -503, -505, -514, -513, -520, -539, -539, -300, -307, 
##     -330, -382, -385, -404, -433, -456, -490, -502, -539, -532, 
##     -553, -542, -519, -496, -465, -463, -423, -385, -372, -317, 
##     -315, -282, -245, -192, -148, -137, -129, -139, -166, -192, 
##     -222, -244, -243, -265, -282, -308, -367, -439, -456, -480, 
##     -495, -509, -520, -525, -559, -551, -543, -526, -503, -504, 
##     -487, -485, -455, -441, -431, -413, -399, -303, -279, -179, 
##     -158, -155, -135, -135, -146, -147, -156, -167, -196, -196, 
##     -231, -244, -267, -294, -337, -355, -361, -383, -397, -413, 
##     -424, -442, -451, -470, -475, -520, -521, -536, -542, -543, 
##     -543, -541, -515, -518, -495, -478, -467, -456, -377, -370, 
##     -295, -264, -215, -149, -143, -127, -125, -117, -124, -132, 
##     -139, -509, -486, -470, -454, -411, -394, -371, -339, -258, 
##     -248, -207, -131, -132, -122, -133, -151, -154, -161, -160, 
##     -167, -167, -172, -184, -189, -194, -200, -209, -238, -320, 
##     -288, -283, -562, -572, -560, -573, -572, -571, -574, -569, 
##     -584, -581, -551, -545, -532, -524, -514, -502, -485, -399, 
##     -371, -201, -208, -236, -243, -271, -295, -302, -355, -397, 
##     -405, -427, -457, -470, -474, -481, -474, -482, -501, -512, 
##     -519, -530, -534, -539, -545, -551, -558, -559, -566, -565, 
##     -570, -576, -578, -580, -575, -572, -566, -519, -492, -470, 
##     -445, -436, -415, -405, -394, -383, -372, -359, -357, -295, 
##     -285, -281, -270, -252, -241, -207, -199, -183, -170, -168, 
##     -162, -159, -152, -154, -182, -184, -188, -221, -231, -256, 
##     -270, -295, -315, -354, -364, -408, -429, -437, -456, -455, 
##     -464, -469, -463, -477, -473, -483, -488, -490, -504, -511, 
##     -519, -515, -513, -526, -526, -533, -535, -537, -540, -548, 
##     -555, -559, -553, -557, -550, -541, -525, -509, -486, -472, 
##     -452, -436, -423, -385, -346, -318, -264, -252, -228, -223, 
##     -214, -215, -202, -187, -184, -170, -470, -491, -488, -501, 
##     -503, -500, -505, -510, -509, -512, -515, -518, -526, -527, 
##     -535, -540, -536, -545, -549, -557, -557, -560, -569, -569, 
##     -573, -563, -574, -170, -167, -160, -142, -105, -99, -86, 
##     -80, -90, -134, -167, -232, -286, -324, -332, -368, -382, 
##     -423, -437, -442, -469, -470, -482, -491, -506, -505, -516, 
##     -518, -531, -534, -536, -538, -541, -542, -538, -539, -548, 
##     -548, -555, -549, -546, -544, -538, -540, -536, -546, -555, 
##     -548, -551, -550, -550, -558, -560, -560, -563, -558, -555, 
##     -557, -548, -548, -543, -538, -524, -521, -518, -512, -502, 
##     -491, -471, -464, -396, -380, -372, -349, -346, -321, -321, 
##     -262, -239, -229, -216, -207, -191, -181, -183, -169, -158, 
##     -154, -144, -140, -135, -141, -136, -140, -520, -527, -530, 
##     -528, -524, -533, -536, -531, -537, -548, -547, -546, -554, 
##     -550, -548, -546, -554, -550, -549, -543, -531, -524, -505, 
##     -486, -460, -422, -404, -367, -251, -213, -212, -200, -195, 
##     -185, -183, -172, -177, -530, -535, -530, -532, -531, -530, 
##     -527, -520, -530, -531, -531, -523, -529, -519, -517, -518, 
##     -519, -524, -518, -531, -527, -532, -537, -533, -531, -544, 
##     -546, -550, -548, -551, -553, -549, -543, -535, -538, -532, 
##     -520, -516, -504, -494, -467, -454, -432, -404, -383, -355, 
##     -333, -285, -271, -242, -236, -235, -221, -233, -220, -217, 
##     -221, -218, -220, -217, -218, -223, -225, -218, -225, -232, 
##     -231, -240, -248, -351, -360, -413, -446, -465, -477, -475, 
##     -520, -536, -546, -541, -549, -544, -549, -553, -557, -549, 
##     -560, -563, -562, -559, -561, -560, -558, -560, -564, -567, 
##     -562, -574, -570, -571, -574, -577, -566, -571, -577, -576, 
##     -572, -573, -578, -574, -576, -579, -573, -570, -566, -572, 
##     -564, -555, -544, -532, -530, -511, -473, -461, -449, -423, 
##     -421, -394, -377, -369, -360, -279, -276, -263, -259, -250, 
##     -234, -231, -232, -213, -218, -211, -208, -199, -196, -187, 
##     -181, -176, -159, -158, -169, -167, -181, -187, -198, -222, 
##     -238, -287, -311, -320, -363, -434, -437, -463, -478, -484, 
##     -498, -501, -504, -508, -529, -526, -538, -535, -535, -547, 
##     -546, -553, -563, -553, -545, -560, -556, -564, -557, -562, 
##     -565, -569, -560, -564, -574, -574, -576, -569, -564, -563, 
##     -567, -554, -559, -552, -551, -538, -521, -514, -501, -499, 
##     -487, -463, -429, -416, -176, -169, -158, -175, -168, -173, 
##     -175, -183, -199, -228, -242, -249, -306, -332, -356, -393, 
##     -409, -423, -437, -459, -485, -487, -505, -504, -518, -142, 
##     -144, -162, -166, -220, -239, -323, -389, -397, -443, -483, 
##     -490, -502, -507, -501, -507, -510, -514, -569, -573, -562, 
##     -561, -553, -542, -537, -526, -511, -489, -452, -435, -424, 
##     -384, -380, -359, -350, -332, -327, -306, -289, -280, -271, 
##     -269, -248, -244, -232, -221, -216, -209, -201, -201, -155, 
##     -143, -132, -133, -129, -140, -155, -195, -219, -252, -299, 
##     -320, -352, -353, -383, -445, -454, -357, -312, -303, -294, 
##     -282, -272, -248, -235, -192, -189, -181, -169, -156, -145, 
##     -150, -147, -141, -143, -155, -151, -156, -163, -176, -186, 
##     -519, -524, -521, -530, -528, -526, -534, -526, -523, -522, 
##     -530, -527, -533, -534, -536, -529, -536, -531, -530, -559, 
##     -556, -557, -556, -548, -544, -538, -532, -531, -530, -525, 
##     -518, -522, -522, -519, -525, -518, -518, -519, -515, -512, 
##     -516, -518, -513, -510, -506, -500, -502, -503, -492, -488, 
##     -485, -490, -487, -486, -489, -483, -481, -486, -485, -480, 
##     -478, -486, -483, -484, -481, -485, -476, -480, -481, -473, 
##     -451, -448, -453, -457, -455, -460, -467, -478, -472, -470, 
##     -469, -478, -481, -487, -485, -482, -482, -487, -483, -488, 
##     -488, -495, -488, -496, -492, -492, -494, -492, -493, -487, 
##     -496, -494, -501, -503, -503, -494, -494, -504, -495, -493, 
##     -500, -498, -499, -502, -495, -501, -495, -496, -500, -500, 
##     -502, -495, -500, -503, -507, -508, -511, -511, -517, -526, 
##     -521, -522, -515, -516, -500, -490, -475, -472, -478, -471, 
##     -469, -451, -452, -436, -422, -408, -391, -380, -362, -352, 
##     -320, -286, -273, -242, -199, -191, -155, -126, -92, -69, 
##     -12, 38, 34, 12, 8, -3, -12, -37, -64, -132, -171, -178, 
##     -212, -260, -267, -328, -356, -370, -384, -396, -410, -406, 
##     -418, -432, -439, -435, -461, -461, -465, -469, -460, -464, 
##     -468, -466, -470, -474, -473, -470, -482, -474, -485, -483, 
##     -484, -483, -483, -478, -475, -475, -467, -456, -456, -451, 
##     -442, -428, -424, -406, -375, -358, -356, -315, -280, -259, 
##     -257, -239, -217, -202, -182, -181, -166, -162, -140, -131, 
##     -121, -117, -109, -99, -72, -71, -53, -360, -361, -378, -387, 
##     -389, -394, -393, -393, -397, -412, -405, -415, -419, -420, 
##     -429, -421, -428, -445, -440, -442, -449, -443, -451, -449, 
##     -452, -134, -116, -106, -103, -93, -59, -69, -103, -105, 
##     -125, -146, -191, -192, -235, -264, -292, -310, -317, -326, 
##     -328, -338, -353, -359, -367, -376, -407, -408, -412, -415, 
##     -427, -422, -425, -429, -425, -436, -437, -441, -439, -448, 
##     -455, -452, -451, -452, -457, -449, -449, -442, -446, -451, 
##     -445, -447, -449, -443, -434, -416, -404, -390, -381, -355, 
##     -335, -296, -280, -265, -247, -239, -232, -213, -199, -207, 
##     -193, -184, -176, -180, -164, -153, -148, -142, -128, -135, 
##     -145, -146, -164, -172, -180, -183, -200, -215, -221, -233, 
##     -241, -286, -321, -342, -355, -355, -365, -367, -372, -382, 
##     -395, -407, -401, -412, -407, -412, -415, -420, -426, -423, 
##     -424, -428, -427, -423, -422, -421, -428, -433, -438, -428, 
##     -441, -437, -435, -441, -437, -438, -429, -423, -425, -417, 
##     -412, -407, -409, -400, -390, -385, -374, -371, -371, -366, 
##     -367, -363, -365, -360, -330, -316, -308, -305, -289, -279, 
##     -261, -255, -243, -226, -219, -209, -208, -164, -157, -152, 
##     -150, -138, -143, -153, -161, -197, -210, -214, -221, -224, 
##     -236, -239, -263, -280, -301, -318, -330, -335, -347, -354, 
##     -368, -375, -381, -385, -390, -391, -388, -402, -436, -433, 
##     -434, -434, -433, -428, -415, -408, -408, -401, -396, -384, 
##     -378, -361, -342, -330, -316, -264, -262, -235, -236, -224, 
##     -207, -193, -178, -149, -137, -138, -136, -138, -137, -140, 
##     -148, -154, -163, -175, -182, -193, -246, -311, -325, -338, 
##     -363, -373, -373, -373, -373, -373, -373, -373, -373, -373, 
##     -373, -373, -373, -373, -373, -373, -373, -373, -373, -373, 
##     -373, -373, -373, -373, -373, -373, -373, -373, -411, -409, 
##     -416, -415, -420, -423, -422, -446, -453, -458, -474, -470, 
##     -480, -484, -478, -484, -481, -484, -478, -474, -478, -485, 
##     -481, -471, -474, -472, -466, -466, -469, -450, -443, -437, 
##     -441, -423, -415, -407, -390, -390, -381, -329, -280, -242, 
##     -242, -232, -228, -227, -228, -222, -225, -219, -214, -220, 
##     -214, -214, -214, -206, -208, -194, -185, -180, -168, -164, 
##     -150, -137, -142, -150, -154, -187, -245, -257, -281, -294, 
##     -304, -327, -331, -350, -354, -362, -372, -383, -388, -392, 
##     -410, -407, -409, -410, -419, -418, -412, -411, -413, -406, 
##     -409, -413, -425, -424, -431, -430, -438, -445, -445, -443, 
##     -447, -447, -449, -448, -443, -408, -409, -403, -404, -399, 
##     -382, -352, -335, -333, -312, -297, -279, -254, -249, -239, 
##     -228, -218, -192, -177, -178, -168, -164, -157, -101, -94, 
##     -83, -81, -79, -79, -96, -90, -105, -140, -148, -160, -179, 
##     -203, -229, -238, -242, -279, -300, -309, -318, -327, -336, 
##     -343, -346, -347, -373, -374, -387, -389, -394, -398, -391, 
##     -407, -553, -555, -558, -562, -561, -498, -498, -496, -497, 
##     -494, -489, -491, -497, -502, -507, -500, -506, -502, -511, 
##     -506, -510, -509, -517, -515, -515, -519, -538, -543, -545, 
##     -545, -550, -549, -544, -542, -536, -542, -542, -546, -546, 
##     -543, -542, -548, -550, -551, -540, -548, -549, -548, -544, 
##     -545, -547, -549, -549, -549, -546, -549, -548, -545, -545, 
##     -548, -558, -547, -550, -548, -548, -553, -547, -547, -554, 
##     -548, -550, -545, -551, -551, -554, -550, -552, -547, -553, 
##     -554, -555, -556, -558, -559, -560, -553, -558, -563, -559, 
##     -559, -559, -562, -563, -564, -567, -564, -565, -571, -566, 
##     -559, -373, -373, -373, -373, -354, -361, -364, -364, -378, 
##     -385, -385, -385, -380, -380, -380, -385, -385, -394, -402, 
##     -399, -406, -416, -416, -417, -413, -414, -419, -428, -427, 
##     -420, -429, -430, -433, -439, -438, -446, -435, -443, -446, 
##     -441, -442, -444, -438, -440, -438, -440, -455, -429, -431, 
##     -411, -402, -389, -379, -367, -338, -324, -305, -247, -240, 
##     -225, -214, -195, -170, -159, -143, -12, -11, -2, 2, 0, -7, 
##     -8, -15, -37, -50, -73, -96, -125, -137, -165, -236, -265, 
##     -286, -279, -304, -306, -322, -345, -477, -473, -476, -470, 
##     -463, -462, -468, -460, -452, -434, -431, -428, -423, -425, 
##     -426, -443, -444, -446, -447, -453, -280, -290, -296, -308, 
##     -311, -426, -443, -479, -502, -536, -537, -535, -524, -503, 
##     -469, -462, -446, -403, -389, -340, -155, -170, -192, -203, 
##     -216, -233, -252, -267, -335, -358, -360, -389, -388, -405, 
##     -417, -445, -468, -480, -488, -490, -500, -517, -527, -544, 
##     -558, -559, -553, -540, -535, -538, -525, -515, -523, -512, 
##     -493, -486, -473, -464, -435, -409, -402, -335, -290, -277, 
##     -250, -221, -170, -170, -157, -163, -160, -178, -201, -228, 
##     -234, -255, -271, -421, -421, -453, -459, -501, -506, -519, 
##     -551, -553, -567, -572, -568, -559, -547, -538, -532, -519, 
##     -505, -488, -478, -458, -443, -478, -481, -486, -487, -494, 
##     -500, -520, -517, -514, -529, -522, -523, -528, -532, -520, 
##     -506, -508, -507, -500, -502, -502, -504, -507, -500, -508, 
##     -498, -506, -501, -507, -508, -347, -345, -345, -345, -345, 
##     -345, -345, -345, -345, -345, -345, -345, -345, -345, -345, 
##     -345, -345, -345, -345, -345, -345, -345, -345, -345, -345, 
##     -345, 135, 150, 236, 258, 270, 326, 343, 345, 341, 335, 330, 
##     320, 317, 306, 280, 271, 261, 251, 235, 208, 179, 146, 145, 
##     126, 76, 55, 49, 10, -318, -306, -110, -79, -36, 9, 66, 119, 
##     155, 174, 221, 234, 291, 306, 326, 332, 349, 357, 371, 371, 
##     375, -9, -51, -95, -169, -213, -231, -267, -290, -302, -321, 
##     -332, -345, -375, -401, -406, -442, -454, -472, -479, -481, 
##     -487, -494, -495, -495, -500, -495, -487, -408, -422, -439, 
##     -468, -473, -475, -480, -479, -483, -481, -476, -478, -478, 
##     -469, -462, -427, -403, -387, -318, -258, 220, 207, 192, 
##     141, 89, 77, 48, 36, 6, -37, -46, -66, -106, -160, -162, 
##     -198, -217, -299, -349, -356, -374, 481, 437, 428, 423, 407, 
##     408, 388, 387, 364, 357, 331, 313, 296, 265, 261, 245, 236, 
##     211, 202, 186, 179, 135, 115, 91, 92, 103, 110, 135, 154, 
##     70, 66, 69, 151, 161, 176, 192, 213, 240, 300, 317, 332, 
##     372, 404, 449, 479, 486, 494, 509, 505, 513, 524, 527, 533, 
##     526, 525, 523, 481, 449, 446, 420, 415, 395, 385, 370, -559, 
##     -563, -536, -549, -556, -570, -569, -569, -565, -567, -560, 
##     -559, -556, -564, -562, -563, -557, -562, -565, -560, -508, 
##     -516, -515, -521, -523, -523, -521, -522, -518, -511, -515, 
##     -518, -520, -517, -503, -513, -506, -502, -496, -490, -483, 
##     -485, -487, -491, -488, -621, -615, -615, -616, -609, -617, 
##     -603, -601, -585, -574, -552, -526, -516, -415, -342, -329, 
##     -307, -285, -255, -239, -211, -195, -292, -285, -255, -243, 
##     -204, -181, -129, -111, -98, -39, -43, -41, -52, -79, -81, 
##     -108, -112, -220, -281, -333, -496, -542, -551, -589, -586, 
##     -582, -565, -563, -546, -535, -518, -516, -471, -458, -424, 
##     -399, -362, -349, -333, -312, -294, -270, -253, -237, -238, 
##     -213, -194, -412, -395, -365, -355, -333, -320, -269, -263, 
##     -239, -233, -181, -158, -124, -121, -89, -88, -88, -108, 
##     -116, -141, -170, -199, -347, -538, -561, -568, -574, -578, 
##     -579, -576, -579, -580, -581, -585, -580, -577, -580, -583, 
##     -583, -580, -580, -575, -578, -574, -565, -557, -537, -489, 
##     -477, -454, -513, -494, -476, -418, -397, -383, -331, -267, 
##     -229, -202, -193, -178, -170, -170, -151, -96, -76, -68, 
##     -66, -79, -94, -98, -114, -152, -212, -229, -583, -583, -582, 
##     -586, -581, -583, -582, -581, -572, -565, -579, -561, -558, 
##     -551, -502, -452, -426, -413, -376, -335, -315, -252, -211, 
##     -154, -85, 545, 542, 535, 515, 499, 495, 480, 455, 408, 379, 
##     360, 344, 298, 279, 268, 246, 201, 176, 169, 142, 113, 105, 
##     42, 12, -35, -44, -2, 9, 45, 60, 65, 107, 143, 147, 170, 
##     184, 204, 229, 239, 298, 343, 404, 421, 469, 476, 480, 489, 
##     537, 531, 540, 537, 544, 542, 538, 522, 520, 510, 492, 473, 
##     454, 409, 389, 356, 331, 320, 297, 281, 218, 197, 185, 172, 
##     151, 115, 104, 110, 116, 116, 125, 148, 156, 166, 168, 170, 
##     170, 172, 169, 189, 197, 204, 223, 227, 248, 284, 303, 317, 
##     343, 366, 375, 377, 389, 414, 411, 434, 438, 485, 509, 523, 
##     537, 536, 544, 537, 545, 530, 532, 533, 522, 518, 518, 521, 
##     524, 524, 520, 525, 519, 521, 523, 532, 530, 526, 528, 532, 
##     535, 528, 537, 529, 532, 528, 522, 525, 535, 528, 530, 527, 
##     527, 521, 528, 526, 529, 528, 533, 540, 536, 548, 542, 533, 
##     534, 529, 529, 521, 523, 533, 527, 535, 541, 540, 533, 532, 
##     526, 527, 521, 520, 518, 516, 526, 522, 519, 516, 524, 528, 
##     530, 531, 534, 535, 533, 522, 517, 523, 527, 517, 515, 514, 
##     518, 512, 512, 506, 504, 508, 503, 505, 506, 505, 508, 504, 
##     504, 506, 510, 511, 512, 516, 511, 507, 517, 507, 518, 511, 
##     516, 524, 525, 532, 537, 534, 538, 537, 538, 537, 543, 543, 
##     551, 554, 557, 558, 555, 561, 566, 559, 565, 565, 557, 566, 
##     554, 559, 558, 562, 561, 561, 550, 526, 523, 526, 531, 524, 
##     521, 524, 516, 517, 525, 521, 526, 528, 526, 524, 519, 531, 
##     520, 520, 516, 519, 520, 530, 539, 535, 545, 542, 535, 540, 
##     538, 543, 546, 539, 541, 538, 540, 538, 547, 544, 546, 542, 
##     540, 549, 539, 545, 543, 538, 536, 536, 537, 531, 527, 525, 
##     533, 525, 524, 525, 530, 530, 523, 517, 516, 524, 527, 521, 
##     529, 526, 532, 540, 535, 531, 535, 535, 535, 534, 534, 541, 
##     541, 546, 543, 548, 543, 538, 538, 543, 550, 551, 554, 553, 
##     552, 547, 542, 529, 540, 539, 533, 544, 537, 539, 536, 528, 
##     536, 532, 533, 535, 534, 535, 539, 537, 542, 538, 535, 544, 
##     547, 550, 543, 544, 545, 545, 535, 531, 532, 527, 534, 535, 
##     533, 537, 543, 545, 540, 542, 539, 538, 543, 550, 543, -345, 
##     -350, -376, -376, -376, -376, -376, -376, -387, -387, -387, 
##     -387, -400, -446, -457, -468, -485, -485, -485, -485, -485, 
##     -485, -485, -485, -485, -485, -485, -478, -481, -477, -477, 
##     -477, -477, -477, -477, -477, -477, -477, -477, -477, -471, 
##     -467, -468, -469, -460, -462, -463, -470, -471, -472, -473, 
##     -486, -503, -518, -527, -527, -527, -527, -527, -527, -527, 
##     -527, -527, -527, -527, -527, -525, -527, -525, -516, -511, 
##     -512, -502, -499, -500, -505, -497, -510, -519, -513, -513, 
##     -513, -513, -505, -507, -514, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -473, -471, -475, -483, -483, -480, -480, -488, -481, -490, 
##     -482, -504, -502, -505, -508, -514, -504, -500, -501, -501, 
##     -502, -496, -496, -507, -513, -510, -517, -519, -518, -521, 
##     -516, -510, -511, -510, -505, -512, -509, -496, -496, -496, 
##     -494, -496, -497, -497, -489, -487, -465, -469, -464, -451, 
##     -457, -457, -465, -466, -479, -478, -480, -487, -486, -483, 
##     -494, -498, -496, -499, -500, -501, -501, -495, -501, -491, 
##     -495, -497, -510, -516, -515, -525, -520, -513, -517, -510, 
##     -508, -506, -503, -490, -492, -481, -472, -472, -469, -463, 
##     -469, -460, -463, -454, -458, -458, -465, -479, -482, -476, 
##     -481, -481, -479, -481, -478, -479, -481, -486, -486, -495, 
##     -488, -490, -489, -492, -496, -504, -505, -511, -504, -509, 
##     -504, -512, -508, -505, -502, -504, -502, -500, -501, -503, 
##     -492, -499, -493, -488, -485, -487, -485, -478, -475, -469, 
##     -476, -468, -466, -472, -469, -475, -483, -478, -487, -490, 
##     -488, -490, -485, -485, -493, -493, -493, -493, -493, -493, 
##     -493, -493, -493, -493, -493, -493, -493, -493, -493, -493, 
##     -493, -493, -493, -500, -494, -494, -489, -491, -483, -482, 
##     -479, -475, -473, -473, -473, -473, -473, -473, -473, -473, 
##     -473, -473, -473, -473, -473, -483, -477, -479, -479, -479, 
##     -479, -479, -479, -479, -479, -479, -479, -481, -483, -489, 
##     -489, -503, -497, -498, -508, -508, -508, -498, -498, -496, 
##     -496, -496, -496, -496, -496, -496, -496, -496, -496, -494, 
##     -494, -494, -494, -494, -494, -563, -560, -561, -557, -563, 
##     -558, -557, -563, -560, -558, -565, -556, -552, -558, -556, 
##     -558, -564, -566, -573, -566, -580, -573, -578, -581, -584, 
##     -586, -596, -596, -596, -594, -593, -597, -608, -609, -607, 
##     -602, -610, -618, -612, -612, -614, -614, -606, -614, -612, 
##     -603, -613, -610, -606, -604, -599, -594, -594, -584, -595, 
##     -587, -579, -555, -564, -557, -559, -545, -552, -541, -549, 
##     -543, -552, -539, -547, -548, -554, -553, -551, -551, -567, 
##     -563, -558, -566, -564, -570, -583, -599, -594, -595, -601, 
##     -591, -597, -601, -598, -601, -605, -598, -596, -595, -601, 
##     -591, -592, -584, -589, -583, -584, -576, -576, -570, -566, 
##     -569, -574, -574, -562, -564, -564, -567, -565, -571, -574, 
##     -606, -603, -604, -601, -586, -586, -583, -586, -584, -586, 
##     -583, -573, -575, -574, -570, -566, -565, -563, -566, -564, 
##     -566, -566, -568, -564, -569, -574, -573, -579, -578, -583, 
##     -585, -590, -589, -595, -595, -596, -596, -591, -593, -597, 
##     -597, -597, -595, -596, -595, -598, -595, -598, -600, -593, 
##     -591, -591, -601, -589, -593, -595, -587, -587, -589, -591, 
##     -584, -580, -583, -582, -582, -578, -566, -569, -564, -566, 
##     -568, -565, -569, -575, -574, -574, -582, -579, -584, -584, 
##     -581, -586, -586, -585, -583, -587, -589, -587, -585, -589, 
##     -585, -591, -587, -590, -582, -585, -583, -580, -572, -568, 
##     -572, -572, -571, -575, -579, -585, -582, -582, -591, -586, 
##     -594, -594, -598, -595, -586, -589, -591, -591, -593, -597, 
##     -597, -593, -600, -591, -599, -596, -590, -597, -600, -595, 
##     -592, -582, -581, -581, -574, -572, -572, -571, -578, -581, 
##     -572, -575, -571, -576, -576, -574, -574, -573, -576, -582, 
##     -578, -581, -594, -590, -599, -588, -594, -598, -596, -595, 
##     -597, -596, -594, -601, -600, -598, -597, -599, -599, -595, 
##     -594, -595, -591, -595, -597, -590, -587, -587, -593, -582, 
##     -584, -584, -584, -578, -579, -578, -582, -580, -588, -584, 
##     -589, -583, -578, -590, -590, -590, -596, -601, -595, -598, 
##     -597, -603, -601, -599, -597, -600, -598, -597, -600, -607, 
##     -599, -607, -602, -598, -603, -601, -598, -593, -596, -594, 
##     -592, -590, -591, -588, -588, -594, -592, -586, -589, -593, 
##     -598, -599, -598, -602, -591, -587, -581, -578, -574, -579, 
##     -572, -574, -575, -580, -579, -578, -577, -571, -578, -583, 
##     -576, -584, -579, -587, -598, -592, -589, -594, -587, -594, 
##     -584, -585, -582, -581, -580, -582, -580, -585, -582, -584, 
##     -586, -586, -583, -587, -586, -592, -588, -586, -586, -588, 
##     -584, -582, -582, -575, -574, -577, -573, -575, -566, -569, 
##     -571, -569, -565, -574, -570, -567, -577, -574, -585, -574, 
##     -570, -572, -584, -578, -579, -581, -575, -579, -577, -572, 
##     -578, -580, -580, -572, -580, -580, -580, -581, -575, -571, 
##     -583, -580, -578, -579, -587, -586, -154, -152, -150, -152, 
##     -165, -168, -165, -181, -187, -200, -215, -223, -256, -261, 
##     -268, -313, -327, -372, -383, -404, -438, -456, -467, -474, 
##     -471, -492, -501, -514, -519, -524, -535, -546, -543, -556, 
##     -559, -543, -540, -548, -546, -543, -531, -529, -526, -528, 
##     -531, -521, -529, -530, -531, -537, -527, -531, -533, -536, 
##     -535, -533, -538, -538, -535, -536, -540, -535, -533, -533, 
##     -537, -536, -540, -534, -536, -542, -542, -536, -540, -539, 
##     -536, -535, -537, -541, -541, -542, -536, -543, -540, -529, 
##     -535, -539, -539, -539, -543, -541, -549, -554, -552, -551, 
##     -550, -550, -551, -546, -543, -541, -542, -533, -536, -533, 
##     -530, -535, -532, -530, -535, -536, -537, -535, -537, -532, 
##     -541, -535, -539, -532, -538, -532, -531, -528, -531, -535, 
##     -536, -520, -530, -521, -516, -526, -522, -527, -529, -520, 
##     -519, -529, -532, -521, -522, -526, -522, -527, -528, -528, 
##     -534, -532, -536, -535, -548, -548, -546, -549, -556, -558, 
##     -560, -559, -557, -562, -565, -554, -552, -549, -543, -545, 
##     -539, -530, -532, -533, -527, -526, -520, -519, -515, -514, 
##     -515, -514, -517, -526, -524, -527, -533, -534, -535, -532, 
##     -535, -538, -539, -541, -548, -542, -543, -545, -546, -559, 
##     -553, -556, -555, -551, -549, -551, -544, -548, -541, -543, 
##     -533, -532, -531, -527, -523, -517, -510, -507, -510, -510, 
##     -510, -516, -509, -516, -513, -510, -512, -515, -516, -513, 
##     -527, -525, -530, -535, -527, -530, -529, -548, -564, -565, 
##     -558, -554, -555, -549, -553, -557, -551, -556, -547, -549, 
##     -544, -535, -536, -515, -517, -505, -498, -499, -491, -489, 
##     -486, -485, -490, -489, -489, -497, -500, -502, -502, -521, 
##     -521, -533, -534, -533, -536, -552, -559, -547, -548, -545, 
##     -539, -538, -517, -511, -513, -506, -503, -490, -487, -489, 
##     -485, -492, -500, -495, -496, -493, -502, -504, -512, -517, 
##     -519, -529, -537, -539, -538, -551, -555, -555, -551, -566, 
##     -565, -557, -559, -551, -554, -547, -548, -543, -542, -542, 
##     -545, -537, -532, -518, -518, -517, -505, -495, -497, -504, 
##     -504, -501, -505, -515, -518, -515, -517, -522, -523, -527, 
##     -530, -534, -542, -548, -548, -543, -548, -556, -556, -551, 
##     -548, -543, -549, -535, -537, -520, -531, -519, -517, -520, 
##     -506, -500, -490, -480, -485, -490, -493, -503, -505, -519, 
##     -520, -528, -535, -530, -547, -549, -552, -540, -546, -540, 
##     -535, -541, -542, -548, -552, -550, -553, -549, -547, -541, 
##     -542, -542, -534, -533, -526, -525, -518, -518, -504, -500, 
##     -489, -484, -488, -492, -497, -503, -500, -506, -506, -512, 
##     -516, -523, -519, -526, -534, -532, -532, -532, -537, -533, 
##     -547, -541, -541, -543, -539, -537, -523, -535, -531, -513, 
##     -519, -512, -503, -496, -500, -486, -490, -490, -487, -491, 
##     -490, -493, -498, -507, -505, -508, -506, -507, -513, -515, 
##     -518, -511, -512, -511, -517, -526, -521, -524, -531, -529, 
##     -542, -541, -547, -558, -555, -554, -551, -549, -552, -549, 
##     -548, -547, -547, -545, -544, -544, -549, -541, -549, -539, 
##     -547, -543, -545, -541, -543, -540, -545, -541, -542, -537, 
##     -542, -542, -545, -540, -537, -542, -536, -538, -543, -534, 
##     -546, -534, -541, -546, -544, -549, -539, -542, -540, -548, 
##     -538, -529, -519, -523, -415, -364, -358, -329, -312, -308, 
##     -294, -281, -279, -274, -276, -283, -302, -344, -433, -435, 
##     -454, -457, -252, -246, -237, -230, -225, -221, -218, -215, 
##     -222, -232, -245, -263, -278, -282, -306, -319, -332, -341, 
##     -360, -396, -415, -422, -471, -478, -483, -489, -493, -495, 
##     -502, -507, -505, -511, -506, -522, -517, -531, -521, -521, 
##     -519, -519, -526, -516, -526, -525, -526, -523, -526, -521, 
##     -525, -520, -523, -525, -524, -521, -517, -525, -521, -527, 
##     -521, -517, -527, -526, -531, -531, -527, -400, -354, -330, 
##     -302, -308, -301, -296, -289, -284, -280, -263, -261, -259, 
##     -249, -246, -247, -246, -246, -261, -258, -277, -299, -312, 
##     -364, -466, -482, -518, -534, -547, -553, -559, -192, -198, 
##     -184, -174, -163, -149, -153, -146, -121, -117, -104, -102, 
##     -112, -117, -123, -146, -159, -169, -204, -240, -259, -308, 
##     -593, -590, -596, -595, -590, -590, -589, -593, -587, -589, 
##     -591, -586, -585, -592, -585, -582, -586, -593, -579, -587, 
##     -583, -584, -580, -584, -580, -590, -580, -588, -590, -585, 
##     -588, -579, -585, -587, -578, -569, -553, -548, -546, -548, 
##     -549, -545, -545, -545, -543, -544, -547, -547, -554, -555, 
##     -563, -559, -553, -559, -567, -568, -573, -571, -571, -571, 
##     -564, -570, -559, -567, -565, -561, -567, -561, -565, -567, 
##     -567, -553, -568, -557, -560, -565, -565, -566, -561, -566, 
##     -557, -561, -556, -560, -561, -558, -557, -566, -562, -573, 
##     -570, -563, -563, -566, -571, -565, -572, -569, -566, -570, 
##     -571, -568, -566, -569, -567, -566, -565, -561, -562, -555, 
##     -555, -554, -551, -551, -556, -555, -553, -559, -556, -556, 
##     -551, -553, -550, -548, -544, -554, -547, -541, -544, -543, 
##     -550, -552, -550, -537, -547, -552, -555, -550, -555, -549, 
##     -555, -554, -554, -556, -564, -554, -548, -552, -549, -544, 
##     -535, -538, -538, -539, -537, -541, -539, -533, -535, -533, 
##     -533, -536, -541, -540, -543, -547, -536, -543, -538, -545, 
##     -540, -548, -544, -545, -547, -540, -546, -549, -558, -555, 
##     -559, -554, -556, -560, -563, -560, -563, -565, -562, -566, 
##     -558, -560, -565, -564, -562, -561, -556, -558, -557, -556, 
##     -554, -548, -561, -554, -562, -558, -554, -563, -565, -562, 
##     -565, -566, -548, -553, -548, -550, -546, -547, -552, -554, 
##     -550, -558, -547, -557, -556, -558, -557, -550, -552, -558, 
##     -562, -558, -565, -562, -560, -568, -560, -574, -567, -565, 
##     -568, -565, -568, -566, -558, -565, -559, -561, -564, -563, 
##     -567, -564, -562, -566, -567, -565, -568, -559, -566, -565, 
##     -568, -565, -567, -565, -568, -577, -567, -568, -563, -565, 
##     -546, -550, -552, -552, -552, -555, -552, -554, -550, -550, 
##     -548, -549, -558, -548, -547, -553, -555, -548, -556, -552, 
##     -558, -556, -556, -562, -558, -559, -566, -562, -568, -560, 
##     -562, -562, -565, -563, -565, -560, -561, -563, -563, -558, 
##     -565, -558, -562, -561, -563, -566, -566, -569, -567, -562, 
##     -563, -558, -567, -567, -567, -569, -578, -574, -577, -570, 
##     -572, -567, -565, -554, -551, -536, -529, -528, -522, -516, 
##     -524, -516, -518, -512, -519, -520, -520, -518, -525, -524, 
##     -531, -526, -521, -528, -530, -527, -529, -532, -526, -536, 
##     -538, -538, -543, -555, -553, -564, -570, -561, -569, -566, 
##     -573, -582, -578, -581, -575, -577, -568, -572, -569, -560, 
##     -568, -566, -559, -553, -558, -559, -558, -548, -549, -563, 
##     -559, -557, -561, -558, -552, -553, -554, -558, -562, -568, 
##     -563, -558, -564, -559, -564, -561, -558, -560, -560, -564, 
##     -565, -564, -555, -569, -565, -562, -566, -561, -563, -562, 
##     -565, -561, -567, -565, -559, -561, -555, -551, -552, -555, 
##     -566, -565, -559, -565, -564, -561, -574, -569, -573, -573, 
##     -569, -567, -572, -570, -563, -566, -567, -566, -563, -565, 
##     -563, -557, -560, -559, -560, -565, -566, -557, -563, -558, 
##     -557, -567, -567, -563, -563, -565, -563, -555, -562, -566, 
##     -563, -556, -561, -565, -564, -562, -563, -563, -561, -564, 
##     -557, -562, -566, -562, -563, -563, -556, -561, -559, -565, 
##     -565, -558, -558, -559, -563, -566, -566, -562, -567, -568, 
##     -569, -566, -568, -563, -564, -569, -556, -564, -566, -562, 
##     -560, -552, -548, -544, -545, -544, -542, -541, -543, -544, 
##     -546, -543, -538, -545, -535, -540, -547, -549, -550, -557, 
##     -553, -555, -553, -554, -554, -555, -549, -556, -559, -553, 
##     -558, -567, -569, -570, -568, -573, -569, -559, -563, -565, 
##     -565, -562, -564, -567, -569, -566, -557, -562, -567, -561, 
##     -568, -567, -566, -563, -569, -562, -559, -569, -569, -569, 
##     -574, -575, -570, -566, -566, -569, -569, -565, -566, -583, 
##     -577, -576, -578, -576, -572, -570, -571, -569, -571, -571, 
##     -567, -570, -576, -573, -565, -562, -564, -564, -561, -551, 
##     -553, -550, -550, -550, -560, -556, -556, -552, -553, -545, 
##     -554, -548, -553, -550, -557, -559, -558, -561, -554, -564, 
##     -555, -563, -567, -568, -561, -564, -566, -567, -564, -562, 
##     -569, -567, -570, -396, -407, -465, -484, -532, -532, -547, 
##     -543, -572, -570, -579, -591, -591, -595, -599, -601, -608, 
##     -609, -601, -602, -597, -583, -588, -564, -565, -571, -565, 
##     -566, -572, -568, -577, -571, -584, -574, -580, -570, -542, 
##     -515, -457, -387, -367, -346, -307, -247, -225, -552, -557, 
##     -557, -560, -555, -559, -561, -562, -562, -560, -567, -560, 
##     -565, -569, -562, -558, -559, -558, -563, -432, -436, -434, 
##     -437, -442, -444, -453, -453, -456, -456, -458, -469, -466, 
##     -463, -456, -465, -466, -466, -473, -472, -474, -472, -469, 
##     -473, -476, -477, -480, -477, -478, -465, -470, -470, -470, 
##     -474, -470, -470, -477, -472, -466, -469, -471, -475, -471, 
##     -471, -475, -471, -471, -469, -456, -460, -460, -463, -464, 
##     -465, -466, -467, -457, -468, -457, -462, -460, -462, -459, 
##     -458, -456, -459, -459, -451, -450, -450, -450, -449, -449, 
##     -443, -446, -439, -448, -445, -443, -452, -451, -456, -448, 
##     -455, -451, -451, -452, -444, -456, -448, -448, -451, -452, 
##     -453, -451, -448, -449, -451, -450, -451, -451, -447, -450, 
##     -450, -454, -456, -454, -443, -454, -450, -457, -461, -451, 
##     -453, -450, -452, -453, -457, -455, -459, -456, -458, -454, 
##     -454, -461, -453, -459, -454, -456, -458, -459, -456, -449, 
##     -452, -449, -449, -454, -448, -451, -453, -447, -446, -451, 
##     -448, -447, -450, -452, -455, -452, -451, -451, -453, -455, 
##     -451, -454, -458, -461, -454, -456, -459, -455, -457, -453, 
##     -456, -458, -454, -456, -453, -455, -451, -457, -461, -451, 
##     -458, -455, -462, -456, -456, -460, -462, -462, -457, -462, 
##     -456, -464, -463, -471, -469, -465, -459, -458, -460, -460, 
##     -452, -456, -457, -456, -456, -464, -457, -457, -460, -457, 
##     -459, -463, -469, -462, -470, -467, -463, -463, -458, -465, 
##     -469, -469, -457, -459, -455, -455, -455, -449, -451, -452, 
##     -443, -447, -447, -448, -441, -444, -448, -443, -454, -447, 
##     -450, -453, -449, -455, -456, -455, -460, -461, -463, -463, 
##     -457, -456, -454, -467, -463, -468, -455, -457, -455, -458, 
##     -454, -459, -457, -456, -464, -458, -462, -463, -464, -457, 
##     -463, -460, -462, -460, -466, -466, -470, -465, -469, -473, 
##     -475, -477, -478, -473, -475, -480, -471, -465, -464, -466, 
##     -457, -455, -449, -450, -449, -455, -462, -458, -455, -459, 
##     -459, -462, -456, -457, -457, -461, -456, -457, -461, -460, 
##     -461, -459, -462, -464, -458, -464, -459, -468, -456, -466, 
##     -455, -464, -455, -462, -454, -457, -469, -464, -461, -463, 
##     -464, -471, -461, -462, -466, -464, -457, -459, -455, -459, 
##     -462, -458, -455, -466, -467, -462, -468, -465, -470, -468, 
##     -463, -458, -462, -451, -449, -450, -450, -460, -462, -465, 
##     -463, -460, -462, -462, -455, -466, -465, -459, -464, -466, 
##     -471, -469, -466, -471, -475, -474, -469, -469, -469, -469, 
##     -469, -469, -469, -469, -469, -469, -469, -469, -469, -469, 
##     -469, -469, -469, -469, -469, -469, -469, -469, -469, -469, 
##     -469, -469, -469, -469, -469, -469, -469, -469, -469, -469, 
##     -469, -469, -469, -469, -469, -469, -469, -469, -469, -469, 
##     -469, -469, -469, -469, -469, -469, -469, -469, -469, -469, 
##     -469, -469, -469, -469, -469, -469, -469, -469, -469, -469, 
##     -469, -469, -469, -469, -469, -469, -469, -469, -469, -469, 
##     -469, -469, -469, -469, -469, -444, -446, -447, -441, -452, 
##     -452, -452, -458, -455, -455, -455, -455, -451, -465, -452, 
##     -455, -454, -462, -462, -455, -464, -463, -458, -463, -468, 
##     -463, -467, -464, -467, -461, -462, -466, -474, -471, -471, 
##     -472, -471, -471, -468, -472, -470, -467, -461, -462, -470, 
##     -468, -471, -469, -474, -461, -470, -469, -470, -465, -463, 
##     -467, -464, -461, -458, -463, -453, -461, -463, -462, -454, 
##     -469, -462, -462, -462, -457, -462, -465, -464, -464, -473, 
##     -472, -470, -467, -465, -478, -471, -469, -474, -470, -468, 
##     -471, -476, -473, -479, -473, -473, -541, -538, -544, -537, 
##     -526, -525, -526, -522, -527, -529, -521, -532, -528, -521, 
##     -524, -524, -523, -523, -518, -522, -518, -460, -479, -480, 
##     -489, -508, -519, -529, -535, -527, -512, -513, -514, -508, 
##     -488, -452, -410, -359, -340, -281, -268, -532, -550, -547, 
##     -541, -552, -550, -556, -546, -547, -558, -547, -540, -545, 
##     -535, -536, -536, -534, -528, -527, -522, -479, -490, -503, 
##     -505, -511, -510, -509, -511, -506, -503, -500, -501, -498, 
##     -508, -505, -500, -501, -490, -487, -487, -487, -487, -487, 
##     -487, -487, -487, -486, -486, -485, -493, -497, -497, -493, 
##     -499, -500, -495, -497, -496, -495, -494, -500, -492, -498, 
##     -501, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     -504, -504, -504, -504, -504, -504, -504, -504, -504, -504, 
##     534, 535, 533, 531, 534, 531, 532, 529, 527, 533, 540, 536, 
##     542, 539, 535, 532, 538, 536, 535, 532, 533, 551, 550, 544, 
##     541, 541, 535, 532, 527, 525, 515, 515, 501, 513, 516, 524, 
##     524, 524, 526, 521, 528, 522, 526, 526, 516, 523, 525, 531, 
##     529, 538, 539, 542, 529, 535, 520, 521, 513, 514, 511, 515, 
##     513, 514, 508, 504, 513, 502, 503, 512, 518, 513, 522, 516, 
##     517, 519, 519, 516, 510, 511, 507, 504, 498, 502, 503, 504, 
##     511, 517, 507, 508, 504, 515, 508, 501, 515, 518, 527, 532, 
##     538, 545, 545, 544, 544, 541, 541, 547, 539, 545, 538, 538, 
##     535, 536, 535, 522, 519, 510, 517, 519, 515, -597, -598, 
##     -578, -574, -566, -574, -560, -571, -569, -568, -568, -569, 
##     -567, -573, -574, -570, -570, -579, -578, -573, -584, -585, 
##     -581, -583, -581, -584, -585, -581, -587, -583, -568, -572, 
##     -578, -581, -575, -576, -579, -584, -584, -585, -580, -595, 
##     -596, -592, -599, -608, -602, -600, -601, -602, -608, -601, 
##     -500, -495, -497, -493, -494, -491, -495, -501, -488, -491, 
##     -493, -497, -500, -487, -496, -486, -495, -480, -482, -482, 
##     -485, -489, -482, -487, -486, -486, -492, -487, -483, -485, 
##     -486, -489, -487, -487, -486, -496, -504, -502, -510, -512, 
##     -516, -516, -517, -516, -513, -515, -511, -506, -503, -502, 
##     -504, -499, -492, -493, -494, -498, -491, -493, -489, -495, 
##     -488, -485, -481, -485, -489, -486, -484, -487, -493, -489, 
##     -485, -485, -523, -509, -505, -503, -500, -506, -503, -484, 
##     -470, -472, -482, -476, -483, -496, -495, -504, -503, -507, 
##     -507, -505, -511, -516, -525, -524, -529, -528, -533, -535, 
##     -540, -532, -532, -536, -533, -533, -533, -530, -538, -541, 
##     -538, -546, -536, -546, -545, -538, -547, -541, -543, -550, 
##     -539, -536, -537, -545, -536, -536, -541, -538, -543, -542, 
##     -541, -542, -545, -546, -550, -539, -543, -553, -546, -552, 
##     -547, -546, -551, -558, -545, -558, 545, 538, 537, 536, 537, 
##     538, 536, 532, 530, 536, 528, 535, 525, 535, 536, 536, 529, 
##     531, 531, 529, 533, 533, 528, 533, 535, 540, 542, 544, 547, 
##     543, 536, 545, 541, 535, 534, 540, 539, 535, 541, 546, 543, 
##     543, 538, 535, 542, 538, 548, 553, 547, 547, 547, 542, 550, 
##     541, 537, 535, 537, 543, 534, 534, 532, 533, 524, 521, 520, 
##     516, 519, 513, 515, 516, 515, 527, 530, 538, 542, 534, 542, 
##     538, 539, 537, 538, 546, 543, 543, 549, 543, 547, 535, 540, 
##     537, 539, 539, 530, 519, 519, 515, 506, 509, 512, 512, 510, 
##     520, 519, 519, 515, 516, 521, 525, 527, 523, 532, 536, 538, 
##     532, 532, 529, 524, 521, 528, 532, 534, 534, 526, 521, 520, 
##     514, 520, 513, 515, 525, 524, 528, 529, 481, 503, 504, 507, 
##     507, 511, 514, 519, 519, 538, 548, 549, 555, 561, 566, 559, 
##     560, 559, 552, 549, 550, 549, 557, 549, 550, 540, 547, 545, 
##     543, 539, 536, 527, 531, 527, 517, 509, 511, 500, 468, 472, 
##     474, 486, 483, 484, 488, 488, 491, 499, 500, 505, 501, 503, 
##     506, 505, 511, 518, 517, 523, 516, 520, 516, 519, 519, 516, 
##     517, 526, 521, 518, 527, 519, 514, 515, 507, 517, 522, 514, 
##     510, 507, 517, 510, 506, 508, 507, 509, 512, 512, 514, 509, 
##     501, 500, 499, 495, 489, 485, 465, 463, 448, 428, 418, 412, 
##     410, 415, 430, 435, 438, 449, 455, 453, 456, 457, 452, 462, 
##     460, 458, 466, 465, 467, 474, 470, 472, 468, 472, 471, 475, 
##     482, 483, 491, 493, 491, 491, 488, 499, 494, 446, 445, 443, 
##     442, 442, 443, 439, 435, 437, 437, 440, 448, 443, 445, 456, 
##     465, 477, 489, 491, 486, 486, 479, 480, 485, 481, 479, 483, 
##     478, 477, 473, 474, 469, 467, 458, 454, 446, 442, 438, 430, 
##     399, 392, 379, 376, 377, 386, 396, 407, 408, 410, 420, 427, 
##     427, 431, 434, 434, 439, 433, 438, 440, 443, 445, 439, 451, 
##     447, 459, 468, 471, 476, 481, 481, 473, 480, 474, 474, 476, 
##     475, 476, 474, 478, 481, 482, 488, 475, 456, 434, 425, 419, 
##     412, 414, 412, 424, 434, 438, 450, 444, 451, 447, 453, 449, 
##     455, 455, 453, 456, 462, 455, 460, 463, 466, 471, 474, 476, 
##     478, 477, 477, 472, 479, -369, -360, -355, -358, -353, -359, 
##     -365, -368, -368, -369, -375, -373, -369, -373, -373, -376, 
##     -363, -363, -363, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -363, -363, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -363, -363, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -363, -363, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -363, -363, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -363, -363, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -363, -363, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -363, -363, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -363, -363, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -377, -366, -370, -370, -364, -360, -354, -348, -343, 
##     -340, -337, -338, -338, -341, -347, -360, -369, -368, -380, 
##     -378, -383, -394, -380, -383, -386, -379, -378, -386, -379, 
##     -390, -385, -382, -393, -390, -398, -391, -414, -418, -416, 
##     -415, -416, -414, -412, -407, -400, -398, -397, -392, -392, 
##     -386, -381, -363, -360, -355, -357, -354, -360, -359, -360, 
##     -347, -344, -343, -335, -339, -336, -325, -325, -319, -316, 
##     -322, -325, -318, -327, -336, -347, -338, -343, -351, -358, 
##     -359, -361, -352, -360, -361, -362, -364, -361, -365, -364, 
##     -362, -366, -367, -370, -364, -381, -375, -384, -392, -412, 
##     -405, -405, -401, -403, -399, -395, -397, -394, -363, -369, 
##     -363, -366, -361, -363, -363, -360, -354, -342, -348, -334, 
##     -327, -322, -319, -313, -316, -317, -314, -316, -323, -327, 
##     -333, -341, -341, -342, -344, -395, -391, -383, -380, -374, 
##     -371, -360, -356, -349, -352, -344, -340, -332, -332, -327, 
##     -318, -320, -317, -317, -306, -302, -295, -288, -279, -279, 
##     -295, -288, -306, -311, -307, -317, -318, -313, -327, -323, 
##     -325, -326, -327, -339, -335, -341, -341, -353, -348, -348, 
##     -348, -360, -360, -360, -360, -360, -360, -360, -360, -360, 
##     -360, -360, -360, -360, -360, -360, -494, -494, -494, -494, 
##     -494, -494, -494, -494, -494, -494, -494, -494, -494, -494, 
##     -499, -502, -504, -501, -504, -496, -500, -499, -489, -490, 
##     -495, -494, -489, -494, -494, -489, -487, -487, -481, -493, 
##     -498, -505, -505, -505, -505, -505, -505, -505, -505, -505, 
##     -505, -505, -505, -505, -505, -505, -505, -505, -505, -505, 
##     -505, -505, -505, -505, -505, -505, -505, -505, -505, -505, 
##     -505, -505, -505, -505, -505, -505, -505, -505, -505, -505, 
##     -505, -505, -505, -505, -505, -505, -505, -505, -505, -505, 
##     -505, -505, -505, -505, -505, -505, -505, -505, -505, -505, 
##     -505, -505, -505, -505, -505, -505, -505, -505, -505, -505, 
##     -505, -578, -591, -597, -597, -606, -594, -592, -569, -568, 
##     -526, -511, -508, -449, -433, -359, -329, -284, -278, -234, 
##     -197, -181, -160, -153, -150, -157, -166, -152, -150, -158, 
##     -163, -175, -196, -204, -249, -290, -349, -370, -387, -395, 
##     -410, -419, -433, -450, -458, -473, -473, -473, -515, -532, 
##     -530, -542, -511, -510, -521, -532, -537, -549, -566, -596, 
##     -596, -607, -603, -597, -594, -558, -557, -553, -524, -514, 
##     -508, -493, -471, -449, -410, -389, -379, -348, -331, -269, 
##     -256, -138, -98, -82, -68, -72, -69, -75, -86, -108, -138, 
##     -192, -223, -255, -272, -279, -298, -306, -319, -344, -377, 
##     -440, -449, -465, -472, -517, -519, -529, -533, -550, -551, 
##     -580, -575, -584, -585, -578, -579, -573, -571, -547, -543, 
##     -526, -518, -515, -500, -495, -479, -443, -393, -392, -357, 
##     -318, -310, -288, -224, -200, -191, -161, -129, -122, -133, 
##     -129, -129, -135, -141, -177, -249, -300, -317, -338, -354, 
##     -370, -369, -393, -393, -393, -393, -413, -422, -422, -459, 
##     -459, -459, -459, -478, -478, -478, -490, -496, -518, -531, 
##     -534, -538, -538, -552, -566, -591, -575, -577, -558, -555, 
##     -542, -543, -509, -486, -469, -436, -390, -306, -295, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -265, 
##     -265, -265, -265, -265, -265, -265, -265, -265, -265, -479, 
##     -481, -472, -474, -470, -470, -470, -470, -470, -470, -474, 
##     -471, -473, -470, -478, -474, -474, -482, -469, -475, -595, 
##     -590, -597, -593, -596, -597, -604, -606, -605, -606, -591, 
##     -568, -574, -560, -551, -529, -525, -522, -519, -514, -514, 
##     -527, -525, -535, -528, -535, -525, -526, -525, -525, -527, 
##     -524, -522, -526, -531, -524, -529, -524, -535, -543, -542, 
##     -542, -544, -543, -541, -548, -545, -542, -540, -541, -546, 
##     -548, -549, -546, -556, -544, -542, -525, -527, -527, -518, 
##     -517, -522, -527, -523, -529, -530, -529, -524, -533, -524, 
##     -518, -522, -523, -527, -521, -519, -526, -520, -525, -521, 
##     -519, -528, -526, -526, -530, -533, -537, -532, -545, -539, 
##     -550, -547, -543, -545, -542, -537, -544, -540, -548, -542, 
##     -538, -546, -537, -543, -543, -543, -537, -535, -535, -530, 
##     -529, -527, -525, -522, -517, -513, -515, -517, -524, -523, 
##     -526, -518, -514, -523, -523, -527, -527, -524, -524, -521, 
##     -527, -531, -524, -526, -539, -547, -544, -550, -551, -553, 
##     -558, -550, -554, -556, -550, -549, -551, -551, -551, -550, 
##     -546, -546, -537, -538, -515, -510, -504, -494, -502, -507, 
##     -509, -515, -517, -525, -517, -522, -519, -522, -518, -521, 
##     -531, -530, -528, -529, -534, -534, -556, -553, -557, -559, 
##     -555, -556, -560, -555, -565, -550, -548, -547, -530, -513, 
##     -505, -514, -505, -503, -507, -513, -519, -518, -507, -513, 
##     -512, -514, -512, -514, -517, -516, -519, -515, -514, -515, 
##     -519, -516, -522, -525, -526, -533, -533, -536, -535, -539, 
##     -538, -535, -538, -536, -532, -527, -527, -527, -522, -517, 
##     -490, -509, -503, -513, -511, -517, -508, -520, -526, -514, 
##     -520, -526, -520, -519, -518, -520, -523, -524, -517, -511, 
##     -502, -491, -486, -481, -471, -472, -484, -467, -472, -470, 
##     -470, -475, -471, -478, -475, -472, -472, -482, -474, -476, 
##     -482, -479, -476, -476, -486, -480, -471, -482, -476, -484, 
##     -492, -502, -497, -503, -494, -531, -532, -523, -530, -528, 
##     -526, -531, -530, -532, -525, -530, -531, -532, -537, -533, 
##     -532, -538, -545, -551, -550, -551, -550, -545, -534, -531, 
##     -522, -523, -505, -517, -513, -511, -518, -522, -531, -526, 
##     -521, -516, -523, -522, -518, -522, -517, -523, -521, -523, 
##     -523, -526, -521, -521, -529, -530, -522, -525, -529, -522, 
##     -533, -528, -537, -535, -535, -542, -543, -543, -542, -529, 
##     -529, -523, -524, -527, -530, -519, -532, -529, -526, -531, 
##     -524, -528, -530, -527, -527, -527, -527, -528, -529, -523, 
##     -537, -534, -522, -502, -495, -476, -469, -444, -444, -434, 
##     -427, -407, -399, -453, -448, -438, -437, -430, -424, -419, 
##     -426, -414, -416, -420, -424, -426, -441, -447, -458, -459, 
##     -461, -460, -470, -467, -475, -480, -487, -490, -503, -502, 
##     -412, -416, -427, -427, -445, -444, -450, -451, -458, -463, 
##     -467, -470, -474, -481, -486, -485, -498, -497, -493, -489, 
##     -490, -486, -483, -490, -484, -490, -471, -464, -466, -436, 
##     -434, -435, -438, -431, -420, -419, -419, -429, -430, -434, 
##     -440, -446, -451, -456, -459, -468, -472, -470, -476, -482, 
##     -480, -487, -496, -495, -495, -488, -492, -490, -498, -496, 
##     -486, -489, -490, -480, -470, -460, -453, -442, -448, -418, 
##     -420, -405, -412, -410, -418, -420, -435, -434, -431, -435, 
##     -443, -451, -462, -460, -471, -479, -483, -488, -495, -487, 
##     -499, -501, -500, -494, -490, -487, -480, -472, -473, -457, 
##     -457, -448, -438, -425, -409, -399, -390, -396, -404, -433, 
##     -435, -442, -458, -458, -468, -458, -469, -469, -474, -470, 
##     -482, -483, -494, -494, -499, -500, -500, -495, -481, -476, 
##     -469, -418, -406, -390, -372, -357, -360, -343, -328, -334, 
##     -331, -342, -345, -362, -401, -419, -414, -421, -429, -437, 
##     -442, -428, -419, -421, -423, -431, -438, -440, -444, -439, 
##     -441, -449, -456, -461, -456, -455, -458, -467, -462, -459, 
##     -467, -470, -479, -483, -486, -486, -485, -486, -481, -478, 
##     -475, -462, -466, -434, -413, -407, -410, -410, -411, -406, 
##     -388, -388, -402, -409, -417, -416, -449, -441, -453, -461, 
##     -460, -461, -465, -471, -481, -474, -483, -486, -489, -484, 
##     -487, -481, -485, -477, -473, -466, -457, -432, -419, -409, 
##     -411, -409, -402, -399, -408, -408, -410, -410, -423, -424, 
##     -422, -433, -442, -451, -465, -460, -471, -473, -473, -474, 
##     -485, -495, -492, -491, -486, -487, -485, -480, -490, -483, 
##     -485, -485, -485, -485, -486, -487, -493, -486, -491, -487, 
##     -494, -492, -490, -489, -485, -488, -495, -501, -486, -490, 
##     -489, -499, -490, -489, -487, -500, -493, -494, -491, -496, 
##     -489, -484, -488, -495, -494, -494, -500, -501, -495, -496, 
##     -503, -496, -499, -506, -507, -503, -502, -505, -501, -495, 
##     -497, -491, -502, -498, -571, -570, -562, -565, -561, -561, 
##     -562, -559, -559, -554, -554, -555, -553, -553, -549, -552, 
##     -551, -548, -547, -551, -554, -549, -552, -554, -554, -549, 
##     -564, -568, -563, -572, -573, -557, -559, -552, -547, -545, 
##     -539, -537, -530, -534, -525, -533, -538, -529, -536, -540, 
##     -537, -552, -551, -555, -558, -557, -560, -563, -560, -561, 
##     -558, -558, -560, -559, -558, -555, -558, -565, -554, -561, 
##     -558, -555, -554, -549, -563, -559, -557, -566, -559, -563, 
##     -564, -565, -566, -567, -567, -563, -568, -573, -581, -600, 
##     -591, -588, -588, -570, -580, -572, -566, -562, -569, -563, 
##     -569, -568, -567, -578, -575, -568, -570, -571, -569, -528, 
##     -527, -530, -520, -508, -504, -504, -502, -494, -495, -486, 
##     -486, -479, -469, -474, -460, -456, -455, -459, -458, -481, 
##     -502, -499, -516, -516, -503, -504, -507, -501, -501, -497, 
##     -496, -495, -489, -480, -482, -476, -476, -467, -470, -472, 
##     -468, -472, -464, -464, -465, -459, -472, -462, -462, -465, 
##     -467, -472, -461, -472, -480, -478, -481, -483, -487, -494, 
##     -504, -503, -506, -522, -511, -521, -528, -527, -532, -530, 
##     -485, -481, -484, -481, -486, -482, -482, -477, -480, -490, 
##     -494, -491, -500, -502, -513, -518, -523, -515, -520, -520, 
##     -516, -521, -518, -523, -522, -529, -533, -530, -530, -530, 
##     -530, -526, -529, -525, -531, -533, -529, -528, -530, -527, 
##     -532, -523, -524, -530, -526, -530, -515, -520, -514, -516, 
##     -512, -513, -498, -503, -494, -502, -496, -505, -500, -495, 
##     -503, -499, -502, -498, -498, -501, -510, -507, -517, -510, 
##     -511, -513, -519, -518, -516, -514, -526, -521, -535, -535, 
##     -531, -542, -536, -538, -539, -539, -538, -537, -536, -539, 
##     -536, -547, -542, -536, -544, -531, -540, -526, -530, -528, 
##     -522, -512, -501, -495, -492, -484, -474, -473, -470, -466, 
##     -462, -459, -468, -458, -462, -472, -470, -471, -481, -473, 
##     -477, -483, -487, -490, -494, -507, -515, -518, -526, -537, 
##     -534, -538, -539, -535, -537, -540, -537, -538, -538, -538, 
##     -533, -536, -535, -535, -539, -539, -539, -534, -530, -477, 
##     -479, -497, -485, -498, -504, -501, -512, -513, -518, -520, 
##     -531, -535, -534, -546, -538, -531, -526, -522, -515, -518, 
##     -500, -503, -497, -487, -489, -483, -470, -464, -466, -468, 
##     -453, -460, -458, -454, -453, -451, -457, -462, -466, -469, 
##     -472, -531, -533, -536, -531, -532, -533, -539, -531, -530, 
##     -529, -524, -523, -513, -505, -510, -499, -502, -492, -485, 
##     -485, -507, -497, -504, -511, -510, -517, -519, -522, -524, 
##     -517, -524, -525, -528, -529, -524, -521, -520, -522, -521, 
##     -526, -525, -524, -523, -574, -573, -575, -568, -579, -572, 
##     -568, -574, -579, -577, -576, -578, -578, -580, -578, -575, 
##     -577, -576, -573, -572, -568, -573, -556, -561, -562, -550, 
##     -557, -552, -578, -580, -575, -581, -579, -590, -600, -612, 
##     -617, -616, -619, -619, -617, -622, -619, -616, -605, -603, 
##     -520, -527, -522, -526, -522, -525, -525, -532, -524, -527, 
##     -531, -523, -531, -526, -532, -531, -529, -564, -565, -564, 
##     -560, -563, -567, -563, -568, -561, -561, -557, -556, -556, 
##     -553, -550, -549, -546, -550, -549, -550, -553, -551, -551, 
##     -552, -551, -552, -554, -553, -549, -556, -558, -557, -556, 
##     -558, -552, -562, -564, -561, -562, -563, -566, -563, -469, 
##     -469, -469, -469, -469, -469, -469, -469, -469, -469, -469, 
##     -469, -469, -469, -475, -475, -474, -475, -485, -488, -484, 
##     -474, -479, -484, -484, -473, -475, -478, -474, -474, -472, 
##     -473, -477, -474, -481, -479, -485, -484, -485, -489, -489, 
##     -495, -490, -504, -494, -500, -504, -511, -512, -505, -507, 
##     -494, -449, -457, -437, -445, -434, -443, -452, -452, -452, 
##     -452, -452, -452, -454, -451, -452, -446, -447, -447, -443, 
##     -442, -445, -445, -445, -426, -421, -422, -422, -406, -399, 
##     -391, -389, -382, -383, -386, -390, -387, -389, -400, -398, 
##     -401, -401, -401, -401, -401, -401, -401, -401, -407, -412, 
##     -412, -405, -405, -408, -408, -408, -407, -407, -407, -407, 
##     -407, -407, -407, -407, -404, -403, -415, -413, -421, -424, 
##     -420, -414, -413, -420, -420, -411, -411, -406, -409, -402, 
##     -394, -410, -403, -415, -409, -405, -410, -408, -406, -415, 
##     -411, -420, -420, -420, -420, -415, -419, -420, -416, -418, 
##     -416, -415, -415, -436, -432, -434, -432, -425, -437, -427, 
##     -417, -421, -417, -421, -410, -411, -410, -412, -405, -404, 
##     -399, -398, -386, -386, -386, -386, -386, -386, -387, -373, 
##     -369, -369, -369, -356, -356, -362, -358, -360, -372, -381, 
##     -392, -392, -405, -412, -405, -409, -423, -415, -410, -409, 
##     -402, -401, -401, -401, -401, -401, -401, -401, -401, -391, 
##     -391, -391, -391, -391, -391, -391, -391, -387, -391, -386, 
##     -388, -388, -388, -388, -388, -382, -383, -383, -383, -386, 
##     -385, -380, -376, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -363, -363, -363, -404, -401, -401, -401, -380, -374, 
##     -376, -376, -385, -386, -400, -397, -364, -363, -363, -363, 
##     -363, -363, -363, -363, -363, -363, -363, -363, -363, -363, 
##     -363, -363, -363, -363, -363, -363, -415, -415, -414, -414, 
##     -420, -423, -416, -415, -423, -421, -432, -439, -427, -434, 
##     -444, -443, -443, -443, -435, -415, -422, -422, -423, -431, 
##     -429, -418, -421, -424, -423, -433, -437, -434, -437, -428, 
##     -429, -422, -426, -423, -419, -421, -422, -472, -474, -474, 
##     -475, -473, -473, -471, -477, -481, -478, -474, -476, -481, 
##     -482, -478, -469, -469, -479, -479, -479, -479, -479, -489, 
##     -486, -496, -492, -491, -492, -491, -492, -484, -485, -491, 
##     -488, -485, -486, -481, -484, -486, -486, -480, -486, -486, 
##     -491, -493, -495, -502, -452, -457, -471, -471, -483, -474, 
##     -482, -475, -478, -482, -480, -473, -472, -474, -470, -459, 
##     -447, -446, -432, -440, -430, -505, -503, -502, -500, -498, 
##     -494, -482, -482, -474, -480, -467, -461, -456, -447, -434, 
##     -422, -424, -419, -421, -420, -428, -438, -438, -437, -448, 
##     -452, -454, -459, -466, -477, -480, -483, -485, -503, -501, 
##     -505, -501, -501, -500, -499, -491, -498, -494, -498, -482, 
##     -483, -478, -112, -80, -67, -62, -68, -90, -118, -137, -236, 
##     -270, -283, -291, -305, -328, -380, -398, -426, -461, -501, 
##     -540, -538, -537, -589, -585, -588, -582, -574, -563, -560, 
##     -548, -542, -534, -510, -475, -466, -445, -406, -376, -340, 
##     -325, -281, -247, -223, -176, -143, -385, -385, -400, -400, 
##     -400, -400, -400, -400, -400, -400, -400, -400, -408, -408, 
##     -408, -408, -408, -408, -408, -408, -408, -421, -466, -484, 
##     -510, -535, -538, -555, -558, -559, -557, -571, -505, -505, 
##     -505, -505, -505, -505, -505, -505, -505, -505, -253, -261, 
##     -275, -297, -297, -298, -312, -312, -328, -328, -328, -358, 
##     -358, -367, -385, -505, -505, -505, -505, -505, -505, -505, 
##     -505, -505, -505, -505, -505, -505, -505, -505, -505, -505, 
##     -505, -505, -505, -505, -505, -505, -505, -505, -505, 495, 
##     493, 492, 495, 494, 491, 495, 494, 495, 484, 486, 488, 487, 
##     479, 472, 474, 465, 459, 453, 453, 455, 436, 434, 436, 437, 
##     436, 494, 496, 475, 451, 442, 437, 449, 450, 471, 467, 469, 
##     472, 471, 483, 480, 490, 489, 503, 504, 512, 515, 519, 519, 
##     529, 536, 535, 534, 537, 529, 528, 534, 525, 520, 504, 501, 
##     498, 487, 534, 532, 534, 531, 536, 537, 526, 527, 521, 520, 
##     522, 521, 525, 525, 531, 523, 532, 531, 521, 532, 531, 531, 
##     532, 529, -490, -488, -494, -504, -501, -503, -504, -501, 
##     -508, -508, -508, -506, -510, -512, -507, -517, -519, -522, 
##     -529, -538, -533, -534, -534, -534, -533, -531, -529, -525, 
##     -530, -520, -516, -501, -493, -492, -485, -488, -486, -474, 
##     -485, -478, -487, -488, -486, -487, -488, -488, -493, -494, 
##     -491, -492, -495, -495, -498, -501, -468, -469, -468, -471, 
##     -474, -475, -476, -473, -473, -469, -471, -473, -472, -474, 
##     -478, -473, -468, -469, -472, -473, -473, -470, -470, -476, 
##     -463, -471, -468, -468, -463, -471, -467, -469, -462, -467, 
##     -466, -465, -463, -470, -476, -481, -486, -528, -528, -527, 
##     -622, -618, -615, -612, -595, -552, -446, -344, -307, -293, 
##     -248, -218, -201, -179, -169, -143, -122, -102, -100, -72, 
##     -63, -47, -37, 0, 2, 8, 1, -14, -40, -41, -134, -180, -233, 
##     -266, -271, -320, -353, -378, -414, -454, -487, -498, -522, 
##     -520, -533, -526, -531, -538, -541, -555, -574, -603, -611, 
##     -626, -619, -625, -621, -618, -622, -623, -625, -615, -614, 
##     -605, -580, -544, -536, -511, -423, -381, -330, -290, -271, 
##     -155, -117, -72, -38, -32, -11, -19, -16, -21, -48, -74, 
##     -76, -102, -122, -149, -162, -229, -257, -320, -329, -355, 
##     -370, -449, -486, -515, -527, -532, -542, -548, -554, -553, 
##     -554, -551, -558, -556, -559, -559, -561, -579, -574, -580, 
##     -582, -587, -588, -592, -591, -597, -592, -590, -595, -589, 
##     -591, -590, -583, -580, -565, -560, -550, -521, -446, -407, 
##     -375, -290, -267, -236, -220, -317, -361, -415, -442, -478, 
##     -480, -506, -500, -504, -510, -521, -522, -556, -571, -565, 
##     -570, -566, -560, -565, -561, -558, -560, -526, -519, -482, 
##     -465, -435, -407, -367, -262, -208, -195, -144, -113, -93, 
##     -66, -36, -21, 16, 29, 61, 143, 154, 137, 125, 81, 73, 55, 
##     41, -5, -50, -77, -140, -172, -223, -304, -405, -416, -433, 
##     -471, -478, -492, -506, -512, -531, -545, -540, -548, -560, 
##     -563, -570, -578, -577, -575, -585, -591, -595, -584, -583, 
##     -574, -563, -565, -559, -557, -560, -543, -526, -509, -501, 
##     -480, -453, -423, -417, -379, -370, -269, -239, -225, -172, 
##     -144, -128, -77, -22, 76, 127, 153, 151, 112, 44, -51, -90, 
##     -100, -147, -197, -211, -252, -294, -338, -351, -388, -419, 
##     -434, -460, -474, -489, -497, -517, -521, -537, -551, -563, 
##     -577, -579, -591, -614, -619, -628, -630, -629, -634, -630, 
##     -632, -632, -624, -630, -621, -582, -566, -526, -468, -413, 
##     -389, -365, -286, -252, -222, -195, -135, -38, 25, 150, 153, 
##     143, 139, 125, 118, 101, 89, 47, 0, -48, -89, -111, -160, 
##     -197, -213, -286, -299, -344, -383, -425, -446, -275, -226, 
##     -141, -86, 42, 94, 112, 113, 98, 91, 81, 4, -39, -58, -126, 
##     -150, -308, -335, -417, -451, -490, -542, -598, -616, -630, 
##     -629, -635, -634, -626, -588, -585, -559, -536, -483, -443, 
##     -418, -407, -353, -308, -278, -268, -222, -181, -120, -81, 
##     -49, -9, -1, 26, 36, 57, 65, 69, 36, -21, -74, -161, -173, 
##     -273, -382, -409, -424, -447, -477, -503, -505, -556, -567, 
##     -572, -599, -617, -618, -623, -621, -622, -622, -622, -618, 
##     -625, -623, -623, -623, -623, -616, -611, -611, -609, -606, 
##     -603, -312, -312, -334, -351, -375, -391, -408, -410, -433, 
##     -441, -452, -466, -518, -554, -564, -574, -574, -576, -591, 
##     -586, -595, -598, -595, -600, -603, -611, -599, -607, -607, 
##     -599, -604, -605, -594, -589, -582, -575, -572, -550, -537, 
##     -496, -459, -423, -405, -389, -359, -348, -316, -291, -277, 
##     -272, -249, -210, -210, -258, -267, -287, -315, -403, -420, 
##     -438, -452, -490, -494, -504, -535, -555, -563, -571, -577, 
##     -591, -588, -593, -597, -589, -598, -587, -586, -582, -583, 
##     -574, -539, -523, -515, -503, -485, -470, -432, -415, -403, 
##     -377, -331, -309, -302, -288, -275, -276, -254, -243, -229, 
##     -231, -286, -317, -316, -331, -336, -373, -385, -393, -418, 
##     -427, -437, -471, -489, -498, -498, -512, -514, -522, -524, 
##     -548, -558, -561, -563, -567, -567, -575, -572, -575, -573, 
##     -575, -588, -578, -580, -565, -558, -545, -538, -533, -523, 
##     -510, -502, -498, -496, -477, -468, -453, -401, -368, -338, 
##     -293, -265, -219, -190, -178, -174, -178, -184, -191, -204, 
##     -227, -242, -260, -273, -300, -314, -325, -328, -347, -363, 
##     -358, -372, -395, -406, -414, -471, -496, -501, -517, -523, 
##     -528, -532, -545, -550, -552, -549, -555, -556, -558, -562, 
##     -563, -558, -559, -556, -554, -546, -552, -548, -541, -547, 
##     -547, -545, -540, -544, -545, -547, -538, -540, -544, -543, 
##     -547, -554, -554, -560, -563, -569, -567, -571, -580, -592, 
##     -595, -599, -598, -606, -605, -610, -603, -603, -608, -601, 
##     -602, -606, -606, -600, -598, -600, -599, -599, -598, -593, 
##     -593, -589, -584, -588, -590, -591, -586, -585, -583, -582, 
##     482, 488, 483, 490, 483, 485, 472, 476, 465, 454, 451, 455, 
##     442, 438, 438, 437, 430, 431, 430, 429, 437, 453, 448, 452, 
##     458, 457, 472, 484, 494, 497, 497, 504, 501, 498, 500, 503, 
##     499, 499, 488, 481, 484, 483, 473, 470, 473, 472, 459, 441, 
##     441, 443, 452, 448, 441, 448, 457, 463, 458, 449, 455, 453, 
##     449, 452, 453, 464, 457, 469, 475, 483, 477, 484, 486, 493, 
##     491, 498, 499, 493, 491, 494, 489, 487, 489, 488, 491, 484, 
##     489, 483, 479, 473, 482, 478, 469, 465, 451, 450, 444, 429, 
##     427, 434, 441, 440, 451, 446, 444, 443, 447, 447, 446, 463, 
##     474, 486, 485, 498, 499, 501, 503, 505, 503, 503, 507, 505, 
##     504, 498, 498, 492, 499, 498, 520, 527, 534, -360, -360, 
##     -360, -360, -360, -360, -360, -360, -360, -360, -360, -360, 
##     -360, -360, -360, -360, -360, -360, -360, -360, -360, -360, 
##     -360, -360, -360, -360, -360, -360, -360, -360, -360, -360, 
##     -360, -360, -360, -360, -360, -360, -360, -360, -360, -360, 
##     -360, -360, -360, -360, -360, -360, -360, -360, -360, -360, 
##     -360, -360, -360, -360, -360, -360, -360, -360, -360, -360, 
##     -360, -360, -360, -360, -360, -360, -360, -360, -360, -360, 
##     -360, -360, -360, -360, -360, -360, -360, -360, -360, -360, 
##     -360, -360, -360, -360, -360, -360, -360, -360, -332, -354, 
##     -360, -360, -360, -360, -360, -360, -371, -375, -377, -377, 
##     -388, -391, -391, -391, -398, -394, -410, -410, -411, -429, 
##     -444, -448, -453, -470, -478, -479, -487, -488, -479, -476, 
##     -477, -474, -467, -467, -456, -455, -441, -431, -420, -398, 
##     -379, -375, -359, -334, -325, -306, -289, -280, -274, -256, 
##     -248, -238, -235, -226, -224, -207, -213, -208, -196, -188, 
##     -186, -191, -199, -200, -207, -211, -219, -244, -248, -253, 
##     -255, -261, -275, -281, -293, -299, -301, -334, -333, -341, 
##     -351, -358, -382, -390, -405, -410, -406, -417, -439, -451, 
##     -455, -457, -460, -467, -470, -471, -477, -485, -480, -473, 
##     -480, -477, -471, -472, -463, -466, -451, -452, -454, -454, 
##     -453, -424, -417, -400, -387, -382, -369, -337, -334, -323, 
##     -301, -282, -261, -254, -240, -229, -223, -224, -218, -212, 
##     -199, -193, -191, -188, -192, -201, -217, -225, -234, -249, 
##     -280, -280, -292, -307, -318, -332, -347, -358, -391, -407, 
##     -419, -436, -446, -456, -458, -465, -481, -493, -505, -506, 
##     -513, -515, -521, -531, -531, -529, -533, -533, -532, -527, 
##     -518, -501, -489, -460, -446, -444, -430, -404, -394, -368, 
##     -368, -368, -368, -368, -368, -368, -362, -353, -342, -335, 
##     -330, -316, -310, -297, -295, -282, -279, -264, -260, -254, 
##     -252, -243, -233, -229, -223, -221, -204, -204, -191, -201, 
##     -209, -217, -238, -302, -317, -382, -385, -401, -414, -418, 
##     -424, -425, -436, -450, -458, -460, -475, -477, -484, -497, 
##     -511, -520, -522, -527, -536, -534, -528, -533, -519, -513, 
##     -504, -501, -488, -472, -454, -448, -430, -410, -391, -394, 
##     -349, -343, -334, -317, -315, -299, -276, -276, -265, -262, 
##     -264, -243, -234, -229, -219, -213, -215, -208, -209, -212, 
##     -215, -215, -216, -221, -219, -218, -220, -226, -227, -235, 
##     -243, -250, -260, -295, -309, -332, -336, -348, -417, -421, 
##     -438, -440, -451, -457, -460, -489, -497, -497, -508, -525, 
##     -523, -536, -535, -537, -537, -552, -545, -540, -542, -531, 
##     -527, -508, -472, -457, -449, -440, -440, -405, -387, -366, 
##     -366, -341, -338, -325, -316, -282, -278, -251, -251, -231, 
##     -224, -208, -208, -205, -202, -202, -208, -229, -227, -234, 
##     -255, -272, -292, -301, -319, -343, -358, -367, -372, -375, 
##     -382, -387, -404, -407, -430, -446, -441, -459, -468, -491, 
##     -493, -494, -506, -505, -295, -274, -270, -265, -250, -251, 
##     -241, -236, -232, -223, -218, -220, -200, -196, -196, -195, 
##     -200, -215, -234, -238, -245, -262, -274, -274, -287, -303, 
##     -324, -332, -340, -342, -348, -363, -364, -373, -377, -383, 
##     -405, -435, -440, -450, -472, -464, -480, -485, -492, -506, 
##     -510, -518, -523, -518, -513, -514, -499, -485, -480, -475, 
##     -470, -452, -416, -371, -352, -340, -332, -321, -307, -297, 
##     -254, -240, -218, -205, -207, -197, -202, -183, -187, -193, 
##     -207, -228, -237, -256, -280, -293, -323, -345, -356, -354, 
##     -364, -372, -380, -388, -395, -425, -427, -429, -441, -455, 
##     -456, -466, -470, -486, -492, -483, -482, -476, -480, -471, 
##     -466, -468, -437, -427, -423, -410, -408, -406, -396, -379, 
##     -372, -347, -320, -306, -286, -273, -275, -270, -264, -256, 
##     -265, -237, -227, -210, -208, -201, -203, -197, -198, -196, 
##     -201, -215, -233, -237, -249, -251, -288, -290, -295, -312, 
##     -311, -323, -344, -358, -362, -367, -371, -378, -385, -387, 
##     -394, -403, -413, -430, -426, -437, -462, -464, -473, -480, 
##     -478, -483, -480, -482, -473, -473, -471, -471, -466, -460, 
##     -455, -449, -449, -455, -444, -443, -441, -437, -438, -442, 
##     -445, -451, -452, -451, -459, -475, -474, -477, -485, -488, 
##     -492, -490, -461, -468, -450, -451, -442, -444, -446, -446, 
##     -440, -433, -433, -432, -431, -431, -440, -439, -438, -439, 
##     -440, -438, -437, -442, -442, -440, -438, -442, -438, -437, 
##     -440, -436, -428, -435, -430, -430, -434, -437, -477, -485, 
##     -479, -478, -478, -479, -479, -480, -474, -480, -480, -493, 
##     -497, -513, -517, -522, -533, -534, -542, -536, -531, -533, 
##     -515, -494, -456, -434, -385, -342, -206, -200, -198, -196, 
##     -196, -196, -211, -240, -248, -282, -308, -324, -333, -343, 
##     -361, -361, -374, -383, -390, -391, -426, -442, -442, -458, 
##     -454, -465, -465, -430, -389, -373, -368, -344, -335, -228, 
##     -187, -165, -160, -139, -135, -137, -171, -190, -194, -220, 
##     -235, -260, -314, -323, -329, -350, -382, -387, -404, -404, 
##     -411, -430, -440, -451, -438, -440, -300, -323, -331, -329, 
##     -381, -400, -403, -415, -418, -420, -425, -423, -424, -424, 
##     -408, -379, -349, -335, -261, -227, -209, -179, -154, -144, 
##     -118, -120, -115, -111, -117, -119, -135, -150, -151, -158, 
##     -177, -186, -200, -242, -250, -256, -265, -286, -297, -311, 
##     -325, -340, -355, -378, -387, -416, -410, -428, -438, -434, 
##     -418, -405, -408, -371, -361, -335, -244, -207, -176, -158, 
##     -150, -127, -119, -112, -112, -102, -87, -85, -101, -111, 
##     -128, -154, -193, -228, -242, -254, -304, -314, -327, -331, 
##     -337, -342, -344, -361, -359, -360, -358, -356, -362, -368, 
##     -382, -389, -388, -348, -339, -329, -323, -290, -270, -267, 
##     -259, -229, -216, -194, -183, -173, -172, -145, -137, -127, 
##     -119, -122, -146, -172, -185, -204, -233, -268, -280, -304, 
##     -306, -338, -346, -367, -367, -365, -379, -376, -387, -386, 
##     -389, -386, -387, -377, -374, -368, -331, -308, -289, -246, 
##     -232, -183, -162, -133, -138, -128, -128, -130, -124, -134, 
##     -139, -156, -185, -191, -212, -231, -231, -254, -265, -278, 
##     -280, -295, -298, -315, -332, -363, -373, -394, -383, -387, 
##     -379, -369, -362, -326, -310, -307, -296, -291, -266, -247, 
##     -178, -133, -124, -298, -289, -267, -243, -227, -210, -197, 
##     -157, -137, -144, -135, -131, -129, -134, -132, -136, -146, 
##     -155, -184, -189, -219, -225, -228, -234, -247, -261, -265, 
##     -276, -285, -290, -299, -313, -342, -344, -342, -347, -355, 
##     -369, -369, -363, -356, -341, -332, -326, -313, -300, -281, 
##     -260, -240, -211, -183, -183, -164, -155, -135, -126, -109, 
##     -109, -97, -121, -122, -128, -140, -152, -175, -195, -207, 
##     -211, -215, -217, -224, -228, -237, -236, -239, -249, -254, 
##     -274, -282, -294, -298, -303, -317, -319, -320, -344, -347, 
##     -353, -353, -353, -361, -361, -361, -361, -368, -368, -368, 
##     -368, -373, -397, -412, -412, -412, -412, -412, -438, -445, 
##     -445, -445, -445, -445, -445, -445, -445, -445, -462, -464, 
##     -472, -481, -480, -477, -477, -481, -474, -478, -478, -478, 
##     -479, -482, -479, -485, -485, -477, -467, -473, -469, -473, 
##     -473, -472, -472, -471, -470, -476, -467, -474, -477, -474, 
##     -476, -473, -473, -475, -475, -475, -475, -499, -499, -502, 
##     -503, -503, -507, -502, -504, -495, -501, -508, -510, -516, 
##     -511, -511, -527, -522, -519, -519, -525, -522, -519, -519, 
##     -519, -521, -513, -503, -499, -495, -492, -478, -481, -502, 
##     -510, -510, -523, -528, -533, -532, -526, -531, -527, -535, 
##     -538, -540, -540, -534, -534, -531, -536, -536, -534, -537, 
##     -535, -537, -535, -532, -532, -536, -533, -534, -540, -533, 
##     -531, -531, -526, -527, -530, -523, -520, -528, -527, -525, 
##     -529, -531, -528, -531, -526, -521, -524, -525, -522, -526, 
##     -520, -515, -523, -519, -519, -527, -527, -522, -518, -523, 
##     -527, -529, -529, -531, -526, -532, -524, -522, -524, -521, 
##     -519, -516, -516, -521, -524, -521, -531, -534, -537, -533, 
##     -549, -549, -547, -547, -552, -554, -553, -551, -568, -569, 
##     -568, -568, -562, -565, -561, -567, -562, -567, -562, -566, 
##     -561, -561, -561, -567, -561, -570, -574, -576, -573, -574, 
##     -578, -567, -566, -550, -526, -504, -356, -299, -281, -250, 
##     -207, -200, -188, -173, -170, -162, -162, -185, -281, -293, 
##     -343, -427, -457, -539, -550, -552, -565, -580, -590, -596, 
##     -602, -598, -588, -576, -582, -559, -554, -490, -482, -435, 
##     -308, -296, -245, -235, -237, -235, -260, -280, -285, -309, 
##     -339, -414, -481, -486, -504, -520, -536, -537, -552, -562, 
##     -563, -570, -559, -549, -503, -498, -487, -481, -423, -415, 
##     -373, -356, -324, -311, -296, -294, -291, -282, -280, -277, 
##     -278, -286, -295, -314, -327, -343, -382, -399, -420, -436, 
##     -450, -469, -497, -516, -539, -546, -549, -547, -550, -543, 
##     -552, -559, -569, -565, -574, -583, -576, -569, -552, -522, 
##     -517, -502, -479, -472, -453, -409, -377, -346, -324, -292, 
##     -288, -286, -290, -281, -297, -301, -307, -333, -346, -371, 
##     -384, -415, -434, -452, -447, -465, -471, -482, -504, -505, 
##     -521, -528, -539, -554, -554, -543, -546, -529, -513, -508, 
##     -492, -476, -473, -450, -395, -326, -294, -287, -289, -284, 
##     -296, -290, -295, -448, -362, -348, -340, -338, -335, -335, 
##     -330, -332, -345, -353, -367, -375, -403, -409, -426, -451, 
##     -470, -487, -502, -521, -549, -553, -553, -545, -538, -520, 
##     -521, -488, -401, -389, -351, -340, -326, -316, -311, -304, 
##     -302, -464, -422, -417, -402, -312, -307, -303, -329, -347, 
##     -362, -406, -418, -442, -480, -514, -254, -251, -283, -345, 
##     -361, -374, -386, -389, -407, -432, -454, -470, -478, -487, 
##     -491, -503, -510, -508, -518, -532, -527, -543, -563, -569, 
##     -574, -568, -549, -529, -527, -521, -321, -253, -251, -210, 
##     -219, -221, -235, -245, -310, -323, -349, -400, -424, -443, 
##     -541, -546, -539, -540, -541, -550, -537, -538, -543, -540, 
##     -542, -538, -537, -526, -516, -501, -500, -485, -484, -478, 
##     -475, -472, -475, -470, -470, -463, -466, -468, -458, -465, 
##     -463, -464, -462, -464, -464, -468, -473, -467, -472, -475, 
##     -479, -496, -491, -491, -493, -493, -501, -500, -509, -510, 
##     -511, -518, -515, -518, -524, -522, -524, -528, -531, -535, 
##     -541, -537, -535, -543, -550, -540, -543, -540, -542, -545, 
##     -542, -536, -548, -536, -543, -550, -544, -541, -553, -549, 
##     -547, -546, -534, -529, -531, -509, -497, -483, -479, -472, 
##     -460, -461, -468, -461, -455, -463, -459, -463, -465, -472, 
##     -476, -477, -482, -490, -493, -501, -512, -512, -514, -520, 
##     -527, -531, -531, -531, -536, -540, -539, -541, -542, -535, 
##     -541, -539, -536, -543, -540, -540, -542, -549, -547, -536, 
##     -537, -535, -545, -535, -542, -531, -530, -526, -515, -512, 
##     -506, -491, -487, -478, -471, -474, -465, -462, -447, -446, 
##     -443, -440, -442, -458, -464, -468, -483, -488, -499, -505, 
##     -506, -506, -505, -503, -506, -511, -512, -517, -519, -524, 
##     -520, -521, -523, -526, -527, -519, -527, -526, -531, -529, 
##     -526, -527, -531, -530, -525, -524, -523, -520, -523, -517, 
##     -519, -513, -504, -493, -483, -475, -466, -455, -443, -432, 
##     -426, -423, -418, -408, -411, -402, -392, -388, -383, -376, 
##     -383, -379, -379, -385, -399, -398, -399, -409, -404, -415, 
##     -419, -419, -425, -427, -445, -451, -455, -478, -479, -490, 
##     -514, -517, -543, -552, -559, -568, -572, -572, -564, -572, 
##     -587, -590, -591, -594, -595, -596, -587, -583, -583, -582, 
##     -583, -582, -579, -570, -578, -569, -571, -569, -570, -576, 
##     -568, -568, -572, -565, -575, -568, -568, -569, -567, -565, 
##     -569, -570, -574, -577, -574, -577, -584, -583, -585, -587, 
##     -581, -587, -588, -591, -593, -600, -606, -617, -618, -624, 
##     -616, -617, -624, -619, -625, -622, -627, -625, -617, -627, 
##     -615, -612, -612, -610, -604, -596, -593, -579, -567, -534, 
##     -507, -499, -435, -370, -343, -336, -287, -250, -214, -191, 
##     -119, -107, -84, -77, -47, -32, -22, -489, -501, -502, -511, 
##     -510, -529, -536, -535, -543, -547, -550, -550, -586, -594, 
##     -603, -609, -610, -616, -618, -612, -613, -613, -604, -603, 
##     -594, -582, -564, -548, -513, -441, -394, -364, -316, -307, 
##     -255, -232, -150, -125, -104, -76, -71, -48, -4, 8, 19, 26, 
##     37, 33, 40, 48, 42, 25, 6, -10, -107, -136, -245, -281, -293, 
##     -313, -345, -403, -431, -435, -463, -467, -494, -499, -502, 
##     -512, -512, -523, -527, -536, -542, -549, -550, -551, -551, 
##     -554, -567, -574, -599, -601, -603, -605, -610, -610, -609, 
##     -602, -597, -592, -585, -581, -567, -100, -88, -93, -87, 
##     -80, -82, -78, -78, -93, -93, -104, -157, -238, -245, -382, 
##     -433, -444, -510, -530, -531, -539, -538, -541, -528, -472, 
##     -453, -433, -402, -353, -342, -313, -266, -259, -234, -230, 
##     -173, -125, -118, -107, -106, 26, 40, 49, 52, 70, 76, 72, 
##     76, 54, 61, 47, -30, -68, -123, -195, -232, -254, -288, -340, 
##     -347, -380, -397, -406, -423, -444, -470, -483, -571, -567, 
##     -567, -571, -566, -564, -567, -574, -569, -569, -571, -572, 
##     -578, -578, -582, -581, -585, -582, -586, -593, -41, -16, 
##     15, 58, 80, 96, 128, 158, 193, 228, 222, 260, 270, 277, 289, 
##     313, 363, 378, 389, 412, 421, 485, 520, 532, 539, 545, 550, 
##     538, 526, 513, 503, 492, 315, 256, 503, 531, 537, 557, 553, 
##     559, 555, 550, 531, 530, 521, 518, 511, 492, 479, 451, 439, 
##     404, 385, 348, 311, 261, 249, 251, 229, 210, 196, 186, 111, 
##     125, 135, 152, 202, 249, 301, 313, 320, 340, 352, 366, 376, 
##     387, 406, 410, 431, 452, 462, 483, 489, 510, 515, 518, 528, 
##     539, 530, 556, 560, 566, 565, 562, 551, 540, 536, 532, 507, 
##     483, 448, 418, 408, 377, 360, 344, 326, 275, 259, 258, 228, 
##     228, 221, 218, 216, 216, 212, 223, 218, 223, 229, 230, 226, 
##     247, 246, 249, 245, 248, 306, 328, 337, 346, 367, 399, 429, 
##     131, 146, 144, 160, 163, 174, 191, 200, 201, 212, 205, 218, 
##     229, 241, 243, 270, 277, 333, 370, 438, 453, 484, 313, 309, 
##     307, 256, 223, 217, 198, 184, 200, 210, 240, 274, 280, 287, 
##     289, 301, 294, 296, 299, 311, 321, 341, 342, 353, 375, 385, 
##     406, 417, 439, 555, 559, 573, 575, 575, 572, 571, 557, 545, 
##     537, 523, 521, 509, 488, 449, 433, 396, 550, 548, 543, 517, 
##     472, 466, 435, 424, 406, 356, 306, 240, 228, 226, 225, 225, 
##     226, 230, 246, 261, 279, 294, 311, 312, 320, 313, 325, 320, 
##     316, 356, 428, 458, 465, 495, 503, 526, 537, 563, 582, 592, 
##     -459, -467, -495, -501, -507, -523, -528, -541, -550, -568, 
##     -566, -570, -568, -568, -567, -567, -565, -553, -543, -549, 
##     -542, -535, -533, -531, -531, -527, -531, -521, -519, -520, 
##     -526, -527, -524, -531, -525, -521, -527, -530, -523, -522, 
##     -525, -526, -529, -524, -518, -525, -519, -530, -528, -524, 
##     -513, -517, -519, -527, -522, -517, -523, -517, -514, -506, 
##     -505, -478, -459, -452, -446, -438, -419, -385, -339, -331, 
##     -320, -531, -534, -551, -549, -564, -565, -572, -570, -567, 
##     -560, -555, -560, -541, -540, -534, -516, -468, -442, -386, 
##     -362, -350, -324, -296, -276, -259, -301, -298, -303, -304, 
##     -294, -313, -315, -340, -376, -404, -431, -419, -439, -453, 
##     -451, -467, -482, -498, -517, -525, -528, -541, -537, -537, 
##     -520, -518, -305, -309, -332, -386, -396, -403, -434, -453, 
##     -462, -472, -488, -480, -493, -500, -507, -510, -523, -520, 
##     -519, -532, -530, -519, -510, -502, -487, -478, -533, -533, 
##     -534, -536, -536, -528, -531, -529, -527, -527, -529, -526, 
##     -525, -522, -530, -521, -525, -527, -528, -526, -530, -531, 
##     -527, -530, -528, -531, -523, -523, -529, -478, -476, -479, 
##     -476, -475, -476, -473, -469, -473, -472, -474, -478, -478, 
##     -478, -478, -478, -478, -478, -478, -472, -472, -472, -121, 
##     -141, -168, -187, -244, -250, -255, -280, -298, -306, -318, 
##     -313, -328, -330, -344, -353, -359, -345, -349, -344, -336, 
##     -329, -320, -327, -430, -413, -400, -373, -363, -355, -322, 
##     -308, -276, -267, -241, -182, -173, -156, -151, -128, -120, 
##     -110, -111, -107, -111, -167, -179, -231, -272, -288, 358, 
##     348, 327, 271, 259, 235, 234, 264, 271, 276, 283, 280, 279, 
##     284, 308, 320, 324, 345, 359, 378, 397, 399, 418, 441, 466, 
##     465, 479, 505, 532, 548, 494, 528, 553, 560, 568, 575, 579, 
##     577, 577, 574, 577, 559, 559, 532, 521, 503, 487, 471, 459, 
##     395, 372, 338, 338, 454, 471, 482, 505, 513, 526, 530, 520, 
##     514, 517, 505, 486, 458, 371, 314, 290, 199, 178, 163, 131, 
##     124, 124, 241, 220, 214, 198, 184, 166, 150, 140, 61, 55, 
##     55, 107, 142, 183, 217, 261, 265, 276, 284, 296, 303, 314, 
##     344, 370, 377, 427, 554, 550, 563, 569, 568, 583, 583, 583, 
##     584, 578, 567, 551, 547, 532, 521, 493, 472, 389, 366, 275, 
##     215, 189, 141, 51, -585, -586, -580, -578, -576, -579, -564, 
##     -555, -558, -541, -507, -491, -442, -385, -369, -360, -360, 
##     -328, -327, -299, -294, -271, -267, -280, -220, -231, -226, 
##     -235, -245, -274, -287, -294, -306, -323, -364, -372, -378, 
##     -407, -418, -435, -442, -483, -505, -521, -539, -552, -571, 
##     -574, -576, -577, -590, -586, -527, -499, -454, -307, -272, 
##     -247, -190, -183, -172, -167, -155, -139, -141, -135, -131, 
##     -148, -163, -185, -224, -248, -472, -502, -519, -520, -542, 
##     -552, -558, -555, -570, -580, -607, -614, -616, -612, -611, 
##     -602, -604, -590, -587, -584, -571, -564, -552, -540, -496, 
##     -427, -407, -359, -342, -78, -44, 10, 10, 15, -8, -17, -54, 
##     -141, -177, -189, -219, -568, -567, -574, -576, -586, -595, 
##     -591, -609, -624, -618, -618, -621, -628, -627), magnet_dumbbell_y = c(293, 
##     296, 298, 303, 292, 294, 295, 300, 292, 291, 299, 291, 302, 
##     295, 294, 297, 296, 292, 295, 302, 299, 301, 294, 291, 290, 
##     294, 297, 292, 291, 298, 294, 299, 298, 296, 293, 295, 290, 
##     296, 287, 300, 290, 294, 297, 297, 299, 291, 290, 294, 295, 
##     293, 295, 289, 290, 300, 294, 289, 304, 298, 298, 295, 296, 
##     291, 297, 300, 288, 293, 298, 294, 291, 293, 295, 296, 294, 
##     292, 291, 295, 291, 291, 294, 296, 293, 295, 287, 296, 294, 
##     295, 295, 292, 283, 294, 289, 287, 290, 291, 293, 290, 292, 
##     297, 293, 289, 293, 292, 295, 291, 293, 292, 284, 295, 293, 
##     293, 290, 292, 294, 293, 292, 298, 293, 296, 292, 297, 296, 
##     292, 292, 288, 294, 295, 295, 294, 303, 290, 290, 290, 290, 
##     290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 
##     290, 290, 290, 290, 290, 290, 351, 346, 351, 375, 375, 384, 
##     392, 397, 397, 402, 404, 415, 421, 422, -562, -560, -557, 
##     -569, -561, -567, -568, -565, -569, -566, -563, -578, -571, 
##     -578, -567, -580, -583, -586, -584, -585, -586, -584, -576, 
##     -578, -578, -568, -577, -573, -566, -569, -569, -574, -574, 
##     -567, -566, -561, -561, -563, -563, -566, -562, -563, -562, 
##     -565, -563, -565, -567, -565, -563, -568, -567, -565, -565, 
##     -564, -568, -567, -567, -563, -561, -571, -559, -563, -560, 
##     -559, -560, -558, -556, -557, -555, -560, -557, -559, -553, 
##     -566, -563, -565, -562, -562, -557, -567, -565, -553, -564, 
##     -555, -563, -557, -557, -562, -562, -569, -567, -567, -566, 
##     -565, -565, -562, -562, -568, -565, -569, -559, -568, -566, 
##     -560, -564, -562, -567, -569, -565, -562, -565, -571, -558, 
##     -564, -567, -564, -559, -561, -568, -558, -566, -565, -561, 
##     -564, -564, -563, -554, -565, -560, -564, -563, -564, -562, 
##     -559, -560, -554, -557, -560, -558, -550, -547, -544, -546, 
##     -538, -531, -543, -532, -546, -540, -534, -537, -539, -531, 
##     -531, -529, -526, -524, -552, -562, -564, -553, -550, -546, 
##     -542, -539, -534, -536, -533, -533, -523, -544, -536, -539, 
##     -536, -543, -560, -557, -549, -550, -552, -558, -556, -562, 
##     -566, -572, -568, -562, -535, -546, -542, -535, -538, -531, 
##     -531, -532, -527, -527, -533, -538, -536, -545, -541, -540, 
##     -548, -556, -557, -561, -565, -565, -562, -561, -547, -541, 
##     -536, -534, -533, -542, -532, -537, -535, -525, -530, -525, 
##     -519, -520, -524, -516, -520, -520, -536, -532, -521, -524, 
##     -525, -530, -533, -534, -531, -534, -524, -524, -527, -538, 
##     -531, -531, -532, -526, -521, -529, -532, -533, -541, -545, 
##     -545, -554, -553, -561, -565, -555, -552, -535, -534, -539, 
##     -530, -533, -525, -515, -517, -520, -517, -510, -508, -510, 
##     -513, -512, -505, -517, -508, -514, -515, -517, -522, -525, 
##     -533, -531, -539, -532, -535, -539, -532, -528, -531, -535, 
##     -525, -532, -532, -528, -533, -530, -531, -527, -527, -522, 
##     -523, -520, -524, -518, -519, -519, -527, -531, -526, -527, 
##     -530, -533, -531, -522, -528, -525, -536, -538, -540, -543, 
##     -553, -563, -557, -557, -550, -553, -541, -545, -529, -532, 
##     -519, -524, -522, -522, -521, -526, -525, -524, -509, -514, 
##     -507, -506, -515, -511, -522, -512, -514, -520, -517, -517, 
##     -512, -522, -517, -516, -532, -535, -539, -536, -541, -536, 
##     -538, -536, -521, -535, -520, -522, -524, -524, -524, -523, 
##     -525, -525, -513, -514, -510, -515, -520, -524, -525, -528, 
##     -537, -529, -535, -534, -533, -534, -532, -531, -523, -523, 
##     -524, -517, -519, -506, -515, -516, -516, -513, -515, -511, 
##     -516, -520, -523, -517, -519, -525, -525, -522, -518, -521, 
##     -515, -520, -524, -527, -532, -533, -529, -527, -520, -523, 
##     -521, -516, -517, -517, -503, -508, -504, -502, -501, -498, 
##     -495, -498, -497, -506, -499, -521, -527, -522, -529, -520, 
##     -517, -512, -509, -509, -508, -504, -504, -506, -507, -509, 
##     -502, -503, -505, -509, -495, -502, -488, -486, -494, -477, 
##     -487, -489, -494, -506, -510, -508, -518, -516, -517, -511, 
##     -509, -505, -518, -522, -522, -521, -518, -519, -512, -512, 
##     -511, -494, -488, -486, -479, -485, -481, -479, -500, -516, 
##     -521, -533, -540, -537, -541, -539, -533, -527, -532, -522, 
##     -524, -526, -521, -518, -517, -514, -515, -514, -516, -508, 
##     -512, -516, -526, -516, -526, -524, -520, -519, -523, -528, 
##     -528, -531, -522, -532, -521, 262, 262, 256, 256, 254, 263, 
##     255, 262, 262, 260, 250, 259, 250, 255, 259, 256, 260, 261, 
##     260, 261, 257, 259, 263, 268, 254, 261, 258, 262, 253, 260, 
##     261, 257, 258, 258, 254, 252, 255, 260, 253, 249, 251, 256, 
##     259, 261, 253, 257, 262, 263, 270, 265, 264, 264, 270, 264, 
##     259, 259, 264, 261, 262, 257, 266, 265, 259, 264, 266, 265, 
##     259, 265, 265, 260, 261, 262, 259, 259, 263, 253, 253, 253, 
##     250, 250, 254, 255, 244, 255, 251, 246, 245, 245, 247, 250, 
##     243, 247, 246, 246, 243, 241, 241, 236, 244, 241, 243, 243, 
##     249, 244, 246, 254, 259, 255, 261, 265, 262, 261, 264, 262, 
##     258, 249, 250, 250, 246, 256, 247, 252, 253, 254, 248, 249, 
##     242, 258, 244, 247, 246, 244, 243, 246, 236, 241, 239, 244, 
##     235, 241, 238, 239, 240, 240, 238, 233, 234, 242, 234, 239, 
##     234, 245, 238, 240, 241, 240, 234, 234, 240, 230, 234, 231, 
##     230, 236, 221, 235, 231, 226, 231, 232, 238, 229, 237, 231, 
##     234, 235, 232, 238, 233, 233, 237, 236, 233, 246, 235, 232, 
##     224, 238, 235, 236, 230, 233, 228, 233, 227, 229, 229, 230, 
##     220, 228, 223, 225, 232, 224, 227, 221, 217, 226, 376, 374, 
##     384, 385, 375, 376, 371, 364, 363, 372, 364, 361, 365, 368, 
##     361, 358, 357, 367, 362, 360, 357, 355, 360, 367, 218, 219, 
##     215, 215, 219, 217, 215, 216, 222, 220, 223, 218, 226, 219, 
##     219, 216, 215, 225, 224, 221, 214, 212, 222, 214, 208, 213, 
##     209, 207, 215, 217, 217, 228, 232, 224, 227, 223, 230, 233, 
##     236, 235, 234, 236, 245, 246, 262, 251, 255, 257, 254, 249, 
##     254, 251, 255, 258, 255, 253, 261, 260, 257, 262, 248, 261, 
##     240, 247, 244, 253, 247, 244, 244, 244, 250, 239, 248, 238, 
##     248, 245, 245, 244, 235, 240, 230, 234, 232, 236, 239, 230, 
##     244, 238, 231, 236, 234, 225, 236, 233, 227, 233, 234, 238, 
##     249, 253, 269, 263, 274, 274, 275, 271, 260, 231, 239, 238, 
##     237, 233, 234, 232, 231, 233, 233, 233, 232, 226, 233, 235, 
##     236, 231, 228, 235, 235, 233, 235, 232, 235, 228, 232, 225, 
##     234, 225, 226, 223, 242, 242, 240, 233, 234, 245, 243, 233, 
##     241, 242, 244, 249, 247, 248, 246, 244, 243, 241, 243, 256, 
##     247, 247, 257, 246, 245, 247, 246, 241, 247, 234, 234, 244, 
##     237, 238, 226, 243, 240, 235, 238, 237, 236, 233, 239, 236, 
##     240, 233, 237, 242, 241, 247, 233, 242, 242, 243, 232, 236, 
##     235, 235, 233, 229, 229, 233, 240, 239, 237, 245, 245, 249, 
##     251, 259, 255, 262, 261, 256, 247, 263, 258, 258, 268, 294, 
##     284, 278, 271, 272, 267, 293, 286, 287, 287, 294, 312, 309, 
##     318, 319, 324, 328, 326, 318, 312, 318, 307, 307, 305, 309, 
##     301, 303, 301, 303, 305, 297, 296, 295, 288, 277, 279, 270, 
##     261, 261, 257, 259, 278, 290, 310, 322, 335, 338, 342, 351, 
##     351, 351, 353, 360, 364, 374, 372, 376, 377, 376, 368, 284, 
##     278, 288, 287, 289, 295, 296, 299, 311, 320, 316, 319, 319, 
##     322, 323, 322, 315, 326, 326, 328, 328, 327, 326, 319, 314, 
##     322, 312, 318, 322, 317, 321, 314, 318, 315, 310, 306, 304, 
##     288, 299, 297, 290, 286, 291, 300, 297, 298, 296, 306, 307, 
##     312, 321, 324, 330, 335, 331, 335, 338, 351, 357, 350, 351, 
##     355, 354, 357, 356, 361, 353, 363, 362, 361, 362, 361, 361, 
##     354, 286, 289, 291, 290, 288, 281, 282, 285, 292, 292, 303, 
##     301, 294, 296, 287, 297, 295, 292, 296, 296, 297, 293, 295, 
##     297, 305, 302, 307, 293, 294, 289, 274, 283, 279, 272, 271, 
##     270, 271, 279, 272, 284, 297, 320, 331, 327, 328, 329, 334, 
##     338, 341, 342, 342, 347, 344, 340, 345, 341, 340, 335, 337, 
##     330, 320, 316, 313, 311, 310, 315, 307, 296, 296, 293, 291, 
##     298, 300, 292, 294, 293, 285, 288, 290, 291, 292, 290, 300, 
##     304, 312, 309, 314, 309, 305, 303, 301, 295, 299, 297, 296, 
##     296, 293, 295, 290, 287, 298, 287, 289, 290, 280, 286, 279, 
##     279, 291, 294, 290, 289, 289, 298, 304, 311, 324, 326, 326, 
##     329, 329, 326, 337, 332, 340, 343, 343, 346, 340, 343, 341, 
##     345, 335, 340, 339, 338, 334, 328, 332, 329, 330, 321, 310, 
##     304, 305, 291, 288, 289, 290, 288, 291, 283, 279, 279, 280, 
##     281, 270, 271, 282, 272, 278, 283, 276, 285, 282, 280, 281, 
##     278, 286, 287, 290, 284, 284, 286, 276, 279, 278, 271, 280, 
##     280, 281, 281, 279, 288, 283, 279, 282, 273, 270, 266, 264, 
##     260, 270, 279, 296, 295, 305, 329, 330, 337, 348, 349, 354, 
##     346, 352, 345, 349, 354, 354, 356, 367, 366, 359, 366, 364, 
##     373, 365, 373, 362, 365, 368, 297, 294, 299, 294, 293, 294, 
##     297, 290, 287, 289, 271, 269, 273, 285, 278, 279, 291, 300, 
##     299, 326, 327, 328, 330, 337, 327, 333, 334, 343, 338, 336, 
##     346, 351, 343, 351, 348, 345, 348, 352, 359, 353, 358, 356, 
##     354, 356, 353, 362, 358, 357, 357, 351, 351, 352, 332, 327, 
##     322, 317, 311, 313, 307, 309, 307, 304, 299, 299, 296, 297, 
##     299, 294, 295, 296, 297, 300, 298, 296, 307, 300, 304, 310, 
##     303, 301, 305, 295, 305, 303, 313, 308, 300, 304, 294, 377, 
##     379, 382, 366, 370, 369, 375, 365, 361, 359, 366, 358, 355, 
##     359, 351, 349, 347, 343, 329, 334, 342, 335, 332, 327, 327, 
##     323, 323, 327, 318, 307, 310, 311, 305, 301, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 230, 230, 357, 369, 376, 
##     373, 386, 397, 404, 408, 417, 409, 398, 389, 383, 372, 364, 
##     347, 335, 319, 305, 302, 293, 295, 294, 281, 281, 281, 281, 
##     276, 274, 267, 253, 254, 248, 240, 236, 232, 232, 229, 229, 
##     239, 244, 246, 249, 250, 252, 252, 249, 255, 253, 250, 257, 
##     254, 248, 244, 251, 248, 264, 271, 276, 304, 305, 323, 328, 
##     343, 350, 361, 369, 377, 388, 390, 403, 409, 419, 426, 423, 
##     426, 437, 432, 437, 435, 430, 436, 418, 410, 404, 395, 355, 
##     341, 330, 322, 291, 293, 292, 287, 276, 268, 262, 265, 257, 
##     256, 249, 250, 244, 242, 245, 245, 253, 261, 258, 250, 253, 
##     254, 255, 258, 262, 263, 263, 266, 265, 260, 247, 245, 248, 
##     247, 250, 255, 258, 260, 268, 274, 280, 288, 296, 310, 306, 
##     307, 321, 330, 329, 344, 346, 357, 379, 396, 426, 274, 261, 
##     253, 250, 242, 241, 250, 241, 246, 234, 239, 241, 243, 248, 
##     243, 247, 236, 244, 240, 227, 240, 245, 243, 239, 241, 247, 
##     259, 276, 283, 293, 308, 326, 329, 339, 367, 375, 403, 413, 
##     408, 412, 414, 413, 414, 410, 408, 396, 396, 373, 374, 363, 
##     358, 360, 340, 349, 341, 333, 329, 249, 253, 247, 252, 253, 
##     252, 250, 253, 247, 254, 248, 253, 243, 235, 237, 245, 247, 
##     250, 255, 264, 290, 312, 335, 343, 356, 366, 380, 387, 391, 
##     392, 393, 393, 401, 399, 401, 358, 342, 337, 337, 335, 325, 
##     321, 314, 300, 284, 274, 265, 379, 383, 378, 373, 365, 341, 
##     341, 334, 329, 322, 316, 319, 309, 312, 303, 302, 295, 293, 
##     273, 279, 267, 255, 257, 258, 259, 247, 249, 244, 240, 242, 
##     234, 230, 230, 229, 228, 234, 225, 232, 227, 235, 233, 242, 
##     245, 257, 251, 264, 262, 277, 292, 295, 309, 297, 306, 311, 
##     309, 310, 323, 319, 329, 332, 343, 344, 354, 374, 367, 366, 
##     361, 347, 338, 327, 314, 320, 315, 318, 308, 316, 299, 296, 
##     294, 292, 284, 286, 284, 279, 285, 280, 280, 276, 276, 280, 
##     275, 270, 273, 264, 261, 255, 255, 250, 251, 250, 245, 247, 
##     236, 245, 241, 246, 247, 252, 259, 265, 264, 272, 273, 285, 
##     289, 300, 315, 331, 345, 359, 364, 365, 390, 397, 393, 393, 
##     394, 387, 380, 383, 380, 375, 380, 373, 360, 240, 236, 230, 
##     226, 215, 215, 212, 215, 219, 222, 233, 243, 250, 264, 266, 
##     273, 265, 279, 280, 281, 278, 279, 276, 263, 262, 253, 245, 
##     253, 237, 232, 230, 234, 241, 240, 233, 238, 230, 235, 237, 
##     239, 251, 243, 232, 239, 230, 240, 236, 236, 239, 240, 240, 
##     235, 234, 239, 242, 239, 244, 235, 236, 239, 240, 240, 242, 
##     237, 237, 234, 236, 246, 236, 235, 229, 236, 232, 228, 235, 
##     231, 234, 226, 230, 228, 217, 216, 221, 227, 218, 221, 215, 
##     211, 220, 230, 244, 261, 281, 299, 304, 319, 323, 350, 353, 
##     355, 368, 387, 390, 388, 390, 397, 404, 405, 395, 394, 381, 
##     385, 381, 386, 387, 411, 409, 399, 397, 378, 379, 315, 305, 
##     298, 286, 216, 205, 192, 181, 185, 198, 189, 188, 192, 195, 
##     194, 195, 195, 189, 189, 186, 190, 185, 183, 183, 175, 187, 
##     198, 202, 237, 253, 260, 282, 285, 303, 319, 288, 290, 293, 
##     295, 298, 296, 290, 290, 294, 292, 289, 293, 286, 287, 284, 
##     289, 289, 292, 289, 296, 294, 293, 298, 298, 298, 296, 296, 
##     294, 296, 295, 291, 296, 293, 293, 295, 304, 303, 297, 296, 
##     290, 292, 295, 299, 295, 292, 296, 296, 294, 295, 288, 294, 
##     291, 290, 295, 288, 293, 292, 291, 289, 294, 295, 289, 292, 
##     292, 294, 288, 294, 286, 294, 291, 297, 294, 294, 294, 287, 
##     292, 290, 287, 292, 296, 283, 299, 293, 292, 294, 294, 298, 
##     299, 299, 291, 297, 294, 296, 286, 289, 294, 290, 291, 286, 
##     292, 295, 289, 290, 292, 291, 288, 295, 297, 290, 291, 293, 
##     290, 298, 288, 290, 290, 290, 287, 281, 292, 291, 290, 293, 
##     286, 284, 286, 288, 295, 293, 290, 290, 290, 293, 286, 286, 
##     287, 290, 281, 290, 295, 296, 284, 284, 292, 289, 292, 301, 
##     291, 295, 294, 293, 290, 295, 293, 295, 299, 293, 287, 292, 
##     292, 295, 288, 291, 296, 300, 292, 299, 292, 300, 296, 292, 
##     300, 296, 296, 294, 290, 296, 294, 290, 294, 293, 298, 284, 
##     291, 287, 290, 287, 294, 291, 296, 295, 287, 292, 286, 294, 
##     293, 296, 293, 294, 287, 293, 292, 300, 292, 291, 289, 296, 
##     296, 295, 297, 298, 297, 305, 301, 300, 297, 306, 304, 298, 
##     302, 293, 297, 296, 296, 303, 303, 302, 305, 301, 309, 314, 
##     314, 326, 332, 343, 343, 343, 364, 368, 365, 362, 358, 364, 
##     360, 362, 354, 349, 340, 347, 342, 345, 353, 344, 351, 345, 
##     345, 344, 337, 335, 335, 341, 340, 333, 329, 340, 345, 336, 
##     329, 338, 346, 343, 337, 334, 338, 338, 328, 336, 337, 336, 
##     334, 322, 325, 322, 322, 329, 320, 323, 321, 320, 318, 319, 
##     317, 321, 316, 318, 314, 319, 323, 330, 324, 327, 320, 325, 
##     330, 328, 323, 325, 320, 323, 329, 335, 329, 326, 329, 326, 
##     332, 332, 326, 328, 327, 330, 334, 331, 334, 326, 341, 332, 
##     333, 332, 339, 331, 333, 331, 335, 340, 335, 342, 335, 333, 
##     337, 338, 337, 332, 335, 331, 328, 340, 335, 334, 330, 325, 
##     327, 329, 327, 431, 435, 426, 434, 433, 432, 422, 417, 409, 
##     400, 397, 392, 380, 381, 374, 373, 371, 371, 366, 355, 351, 
##     354, 347, 350, 352, 356, 351, 351, 352, 361, 362, 367, 367, 
##     361, 363, 363, 360, 364, 360, 366, 359, 356, 355, 356, 357, 
##     355, 343, 338, 328, 334, 338, 331, 330, 325, 328, 327, 324, 
##     326, 318, 321, 318, 319, 311, 318, 315, 317, 319, 319, 329, 
##     331, 331, 331, 331, 346, 338, 357, 359, 367, 373, 386, 392, 
##     394, 400, 403, 389, 390, 385, 385, 377, 370, 366, 364, 370, 
##     363, 361, 359, 356, 347, 354, 346, 345, 347, 343, 340, 343, 
##     347, 340, 349, 346, 344, 350, 358, 362, 347, 356, 356, 367, 
##     361, 359, 357, 356, 350, 348, 344, 342, 331, 335, 337, 338, 
##     330, 326, 320, 313, 323, 314, 315, 325, 323, 329, 325, 325, 
##     324, 323, 323, 328, 342, 343, 354, 360, 366, 375, 380, 374, 
##     373, 372, 368, 353, 356, 342, 347, 336, 335, 334, 328, 328, 
##     334, 339, 344, 352, 347, 345, 348, 343, 352, 345, 353, 358, 
##     362, 354, 347, 334, 342, 329, 336, 327, 330, 327, 329, 328, 
##     332, 321, 330, 329, 325, 318, 321, 324, 323, 318, 327, 328, 
##     327, 325, 328, 327, 331, 327, 341, 341, 354, 350, 356, 371, 
##     380, 383, 377, 377, 371, 365, 359, 364, 350, 342, 335, 333, 
##     330, 329, 327, 332, 320, 319, 311, 313, 309, 306, 311, 311, 
##     311, 325, 331, 332, 341, 338, 359, 356, 350, 355, 333, 328, 
##     330, 322, 318, 327, 315, 314, 309, 314, 305, 305, 301, 296, 
##     295, 289, 295, 295, 296, 306, 298, 297, 301, 300, 309, 309, 
##     303, 319, 337, 337, 347, 353, 342, 339, 338, 329, 327, 306, 
##     307, 312, 310, 306, 311, 313, 317, 322, 320, 328, 328, 325, 
##     325, 315, 330, 337, 340, 340, 336, 341, 339, 333, 328, 326, 
##     318, 310, 307, 296, 298, 304, 296, 297, 294, 299, 311, 307, 
##     308, 308, 304, 302, 296, 316, 315, 319, 324, 327, 338, 345, 
##     348, 341, 333, 329, 328, 316, 316, 325, 318, 314, 317, 315, 
##     323, 321, 314, 330, 314, 316, 323, 324, 322, 322, 330, 325, 
##     343, 356, 350, 356, 361, 355, 353, 353, 352, 346, 344, 341, 
##     329, 319, 325, 327, 327, 324, 329, 313, 324, 314, 311, 313, 
##     313, 316, 321, 322, 320, 338, 331, 347, 343, 349, 356, 344, 
##     328, 325, 329, 320, 317, 317, 310, 312, 313, 319, 317, 317, 
##     319, 327, 313, 317, 316, 314, 327, 319, 321, 324, 324, 321, 
##     317, 317, 307, 313, 308, 306, 304, 299, 305, 301, 310, 307, 
##     308, 298, 290, 296, 300, 289, 291, 290, 302, 307, 312, 303, 
##     303, 311, 312, 326, 334, 353, 332, 330, 306, 304, 318, 299, 
##     304, 303, 296, 294, 293, 292, 293, 298, 295, 306, 307, 311, 
##     311, 318, 323, 325, 334, 338, 358, 348, 358, 365, 361, 366, 
##     358, 357, 336, 338, 324, 328, 324, 321, 316, 316, 310, 303, 
##     308, 312, 314, 309, 310, 319, 315, 309, 319, 326, 329, 344, 
##     346, 344, 360, 347, 351, 348, 339, 340, 339, 332, 327, 326, 
##     329, 324, 316, 309, 314, 318, 310, 305, 306, 306, 303, 307, 
##     308, 306, 305, 315, 307, 307, 301, 297, 300, 305, 306, 311, 
##     317, 320, 317, 328, 328, 335, 353, 353, 357, 352, 357, 348, 
##     340, 329, 326, 310, 313, 309, 297, 310, 315, 309, 306, 318, 
##     324, 317, 327, 324, 323, 323, 315, 327, 324, 322, 321, 320, 
##     319, 307, 308, 308, 309, 304, 302, 294, 302, 298, 307, 308, 
##     307, 314, 310, 310, 309, 309, 312, 310, 308, 310, 303, 308, 
##     309, 308, 309, 303, 315, 302, 306, 311, 310, 308, 308, 307, 
##     305, 311, 312, 301, 308, 307, 304, 307, 306, 303, 303, 301, 
##     307, 310, 309, 305, 301, 300, 302, 306, 303, 294, 303, 302, 
##     304, 302, 308, 303, 312, 330, 326, 330, 328, 324, 327, 326, 
##     331, 327, 329, 328, 330, 329, 331, 334, 334, 332, 337, 334, 
##     335, 332, 334, 332, 334, 329, 334, 330, 331, 335, 326, 335, 
##     331, 324, 330, 329, 334, 333, 329, 333, 326, 324, 328, 332, 
##     337, 334, 337, 339, 327, 342, 335, 336, 335, 332, 338, 334, 
##     337, 329, 328, 333, 337, 336, 332, 331, 334, 335, 337, 330, 
##     337, 338, 334, 331, 334, 327, 333, 334, 337, 335, 329, 328, 
##     328, 331, 331, 330, 329, 330, 331, 338, 330, 326, 334, 337, 
##     332, 341, 332, 339, 329, 331, 344, 326, 338, 331, 335, 341, 
##     328, 336, 336, 322, 330, 334, 340, 331, 334, 340, 339, 335, 
##     330, 333, 332, 338, 330, 331, 334, 335, 338, 339, 329, 332, 
##     329, 338, 339, 329, 335, 333, 336, 330, 329, 337, 332, 335, 
##     335, 334, 335, 337, 336, 337, 327, 333, 333, 335, 332, 330, 
##     333, 335, 336, 332, 335, 339, 328, 333, 334, 340, 331, 326, 
##     332, 340, 329, 338, 334, 330, 333, 329, 338, 329, 329, 330, 
##     327, 328, 330, 326, 328, 333, 332, 333, 335, 325, 326, 335, 
##     323, 327, 328, 334, 329, 329, 333, 326, 326, 328, 330, 328, 
##     331, 329, 337, 329, 343, 339, 335, 337, 340, 334, 344, 341, 
##     334, 340, 339, 335, 327, 338, 333, 335, 330, 328, 335, 326, 
##     323, 329, 331, 327, 328, 328, 332, 329, 329, 330, 328, 332, 
##     331, 337, 328, 331, 328, 331, 329, 336, 329, 332, 330, 330, 
##     329, 340, 329, 334, 332, 320, 337, 327, 332, 328, 328, 327, 
##     328, 330, 324, 321, 328, 332, 325, 328, 326, 324, 326, 324, 
##     325, 323, 316, 321, 322, 321, 320, 315, 318, 319, 319, 319, 
##     322, 320, 319, 322, 317, 315, 316, 317, 317, 321, 311, 321, 
##     319, 325, 315, 318, 318, 320, 312, 314, 316, 323, 315, 320, 
##     316, 318, 321, 319, 318, 313, 309, 314, 316, 318, 323, 312, 
##     311, 308, 311, 318, 323, 335, 336, 338, 343, 350, 355, 358, 
##     361, 375, 377, 392, 391, 396, 405, 415, 416, 439, 442, 447, 
##     446, 441, 443, 438, 437, 436, 441, 441, 439, 437, 435, 428, 
##     419, 414, 418, 397, 404, 407, 407, 407, 400, 396, 394, 394, 
##     401, 395, 395, 388, 383, 340, 336, 337, 329, 324, 325, 328, 
##     326, 336, 351, 345, 353, 361, 357, 370, 380, 397, 415, 417, 
##     422, 452, 457, 463, 462, 468, 462, 463, 457, 459, 470, 466, 
##     456, 456, 444, 452, 454, 447, 450, 442, 446, 439, 434, 432, 
##     422, 417, 421, 421, 420, 402, 364, 370, 362, 371, 370, 373, 
##     377, 380, 377, 377, 388, 401, 410, 414, 425, 439, 444, 444, 
##     458, 465, 462, 469, 462, 455, 471, 466, 455, 461, 454, 458, 
##     457, 450, 442, 444, 452, 444, 447, 443, 455, 451, 446, 438, 
##     430, 424, 408, 410, 391, 380, 362, 350, 346, 357, 362, 360, 
##     373, 372, 372, 370, 380, 388, 406, 413, 424, 440, 453, 460, 
##     458, 466, 462, 469, 467, 473, 468, 476, 480, 481, 483, 487, 
##     473, 473, 468, 463, 465, 462, 459, 450, 448, 451, 445, 432, 
##     426, 422, 423, 426, 407, 389, 382, 367, 351, 354, 352, 357, 
##     358, 366, 370, 375, 395, 398, 395, 396, 415, 422, 431, 430, 
##     425, 427, 415, 421, 436, 440, 437, 432, 441, 430, 423, 424, 
##     415, 413, 411, 411, 410, 405, 402, 407, 406, 397, 396, 398, 
##     401, 395, 388, 383, 355, 351, 352, 340, 345, 361, 364, 372, 
##     378, 379, 383, 376, 396, 399, 406, 412, 414, 415, 434, 427, 
##     435, 435, 432, 425, 419, 422, 420, 420, 422, 421, 433, 421, 
##     409, 410, 415, 415, 407, 406, 403, 406, 405, 402, 393, 399, 
##     396, 404, 396, 401, 396, 398, 397, 394, 380, 380, 367, 371, 
##     348, 346, 338, 341, 334, 345, 355, 351, 364, 377, 374, 385, 
##     389, 394, 424, 425, 436, 431, 410, 418, 398, 402, 415, 411, 
##     415, 412, 407, 411, 410, 405, 402, 395, 399, 393, 386, 380, 
##     376, 377, 379, 368, 373, 360, 350, 343, 310, 313, 305, 291, 
##     296, 303, 309, 302, 302, 310, 311, 329, 335, 336, 343, 347, 
##     354, 372, 381, 392, 401, 403, 401, 405, 407, 398, 382, 381, 
##     382, 385, 400, 400, 396, 386, 401, 390, 382, 388, 389, 388, 
##     388, 389, 382, 392, 381, 375, 367, 370, 361, 364, 366, 373, 
##     366, 369, 363, 354, 336, 336, 348, 349, 351, 352, 360, 372, 
##     379, 380, 374, 393, 386, 401, 404, 408, 416, 426, 434, 438, 
##     443, 432, 436, 443, 450, 450, 439, 439, 430, 420, 398, 385, 
##     390, 379, 374, 376, 380, 382, 354, 341, 329, 319, 328, 337, 
##     353, 354, 366, 384, 392, 397, 409, 417, 226, 221, 227, 245, 
##     244, 239, 238, 234, 238, 237, 236, 229, 225, 236, 228, 226, 
##     230, 229, 233, 230, 225, 230, 232, 232, 238, 232, 239, 237, 
##     235, 232, 226, 230, 231, 236, 230, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 
##     230, 230, 310, 309, 319, 343, 358, 360, 366, 372, 369, 374, 
##     371, 372, 374, 376, 377, 297, 292, 292, 287, 285, 283, 289, 
##     287, 287, 287, 281, 283, 280, 279, 279, 280, 271, 279, 276, 
##     278, 281, 292, 308, 359, 343, 320, 304, 298, 303, 297, 287, 
##     286, 296, 284, 293, 284, 282, 276, 276, 273, 289, 285, 294, 
##     362, 357, 356, 358, 347, 345, 348, 342, 322, 320, 313, 295, 
##     294, 289, 285, 279, 278, 286, 287, 289, 280, 372, 364, 360, 
##     354, 354, 350, 336, 339, 330, 327, 323, 321, 310, 308, 283, 
##     286, 279, 275, 278, 272, 281, 351, 355, 358, 373, 377, 383, 
##     379, 391, 387, 390, 373, 379, 371, 340, 338, 329, 319, 308, 
##     294, 232, 229, 232, 234, 228, 228, 236, 244, 244, 247, 240, 
##     241, 232, 232, 231, 236, 242, 248, 249, 256, 270, 283, 291, 
##     308, 312, 334, 338, 273, 274, 277, 275, 274, 278, 275, 267, 
##     266, 257, 246, 238, 311, 311, 310, 317, 304, 308, 306, 309, 
##     308, 306, 311, 305, 305, 306, 301, 302, 301, 307, 296, 307, 
##     299, 305, 305, 306, 300, 306, 306, 314, 316, 310, 303, 301, 
##     297, 293, 302, 298, 306, 307, 304, 304, 303, 309, 303, 307, 
##     314, 310, 305, 311, 312, 314, 306, 309, 312, 311, 311, 319, 
##     314, 318, 313, 315, 327, 326, 320, 318, 319, 313, 312, 302, 
##     298, 308, 312, 303, 308, 304, 295, 297, 297, 303, 305, 303, 
##     304, 302, 301, 300, 302, 298, 291, 280, 282, 292, 287, 300, 
##     293, 299, 292, 295, 298, 299, 304, 302, 291, 294, 290, 292, 
##     308, 306, 292, 292, 291, 292, 291, 294, 297, 295, 292, 297, 
##     300, 296, 297, 297, 294, 295, 295, 302, 296, 303, 297, 302, 
##     298, 296, 288, 294, 287, 289, 296, 301, 296, 293, 298, 287, 
##     289, 294, 279, 281, 292, 293, 287, 293, 299, 299, 290, 296, 
##     304, 298, 299, 297, 293, 304, 293, 296, 288, 287, 287, 290, 
##     287, 279, 276, 281, 269, 272, 273, 274, 280, 284, 275, 293, 
##     294, 296, 310, 305, 322, 337, 345, 350, 346, 332, 334, 312, 
##     312, 319, 324, 317, 329, 335, 339, 337, 339, 334, 347, 335, 
##     335, 342, 344, 346, 343, 332, 342, 338, 337, 343, 339, 339, 
##     336, 329, 341, 335, 335, 338, 335, 334, 343, 331, 327, 328, 
##     332, 334, 330, 330, 327, 334, 326, 326, 332, 319, 322, 313, 
##     312, 311, 309, 298, 291, 282, 287, 287, 283, 283, 286, 281, 
##     288, 287, 296, 298, 308, 310, 319, 322, 325, 336, 346, 340, 
##     351, 353, 353, 353, 359, 348, 345, 351, 336, 341, 337, 338, 
##     340, 334, 339, 344, 327, 331, 327, 330, 327, 325, 316, 318, 
##     313, 320, 324, 314, 329, 319, 322, 325, 336, 340, 333, 329, 
##     332, 333, 339, 342, 337, 339, 341, 332, 335, 337, 336, 332, 
##     339, 346, 341, 332, 342, 342, 350, 345, 346, 357, 352, 345, 
##     348, 341, 340, 338, 333, 336, 331, 330, 329, 328, 329, 332, 
##     333, 330, 331, 322, 327, 331, 331, 329, 332, 334, 331, 352, 
##     348, 352, 350, 353, 359, 359, 346, 350, 349, 349, 345, 336, 
##     349, 340, 332, 338, 340, 334, 341, 334, 334, 336, 335, 328, 
##     329, 336, 337, 334, 333, 334, 328, 331, 329, 331, 339, 332, 
##     339, 331, 338, 350, 345, 342, 352, 337, 344, 330, 331, 333, 
##     334, 335, 347, 335, 340, 346, 335, 341, 348, 344, 342, 354, 
##     347, 351, 358, 354, 356, 364, 372, 378, 356, 358, 362, 349, 
##     356, 358, 356, 360, 357, 356, 358, 351, 356, 350, 355, 355, 
##     355, 366, 364, 364, 369, 363, 369, 363, 361, 362, 356, 357, 
##     364, 369, 365, 357, 362, 360, 365, 375, 376, 374, 378, 379, 
##     383, 376, 387, 384, 390, 368, 376, 375, 371, 365, 367, 368, 
##     367, 366, 361, 358, 361, 360, 362, 362, 368, 366, 358, 367, 
##     367, 373, 375, 370, 368, 371, 370, 367, 374, 373, 364, 376, 
##     369, 366, 359, 362, 358, 359, 363, 361, 361, 360, 368, 365, 
##     367, 372, 367, 371, 381, 386, 383, 378, 379, 377, 382, 387, 
##     390, 384, 378, 376, 383, 375, 377, 373, 375, 372, 377, 373, 
##     370, 367, 362, 366, 368, 366, 363, 357, 366, 374, 368, 363, 
##     371, 360, 360, 359, 357, 358, 363, 360, 361, 361, 360, 367, 
##     367, 368, 358, 369, 362, 363, 373, 368, 368, 372, 368, 374, 
##     372, 376, 369, 376, 373, 372, 383, 388, 383, 383, 384, 394, 
##     392, 385, 394, 390, 386, 393, 397, 386, 377, 378, 382, 376, 
##     365, 371, 374, 373, 370, 376, 370, 368, 359, 357, 358, 355, 
##     369, 367, 371, 371, 373, 366, 366, 365, 367, 376, 370, 371, 
##     371, 373, 367, 373, 377, 374, 372, 368, 372, 369, 374, 376, 
##     378, 372, 372, 372, 375, 374, 373, 368, 370, 375, 371, 370, 
##     371, 378, 367, 378, 382, 395, 401, 401, 406, 405, 408, 408, 
##     404, 397, 395, 392, 388, 384, 394, 375, 367, 361, 352, 351, 
##     340, 343, 331, 333, 342, 333, 333, 329, 339, 337, 340, 335, 
##     339, 336, 331, 336, 322, 331, 336, 321, 330, 326, 325, 326, 
##     318, 313, 314, 311, 307, 309, 306, 310, 308, 313, 312, 307, 
##     311, 312, 358, 369, 372, 383, 392, 406, 404, 391, 399, 404, 
##     408, 396, 396, 391, 394, 396, 386, 375, 376, 375, 380, 369, 
##     371, 365, 369, 368, 368, 374, 369, 363, 371, 373, 374, 377, 
##     381, 380, 389, 383, 384, 392, 388, 386, 395, 388, 388, 386, 
##     385, 387, 376, 376, 377, 306, 295, 310, 306, 305, 298, 293, 
##     292, 302, 299, 308, 311, 319, 307, 303, 301, 307, 308, 309, 
##     311, 309, 304, 299, 298, 304, 295, 295, 295, 293, 297, 298, 
##     295, 311, 314, 310, 325, 334, 340, 340, 353, 352, 364, 355, 
##     363, 360, 353, 353, 357, 371, 371, 375, 384, 385, 388, 384, 
##     381, 396, 395, 375, 374, 373, 360, 344, 324, 323, 320, 309, 
##     311, 312, 302, 297, 308, 293, 305, 297, 305, 298, 296, 299, 
##     303, 301, 300, 298, 296, 297, 303, 285, 292, 287, 298, 293, 
##     288, 293, 294, 295, 304, 304, 308, 295, 289, 294, 294, 286, 
##     290, 324, 318, 323, 327, 326, 324, 327, 324, 338, 334, 345, 
##     346, 342, 341, 341, 347, 350, 351, 361, 350, 357, 393, 393, 
##     395, 392, 396, 383, 387, 378, 385, 391, 378, 379, 376, 376, 
##     375, 375, 369, 370, 372, 372, 362, 367, 373, 369, 374, 372, 
##     378, 369, 367, 369, 330, 339, 343, 348, 354, 357, 360, 353, 
##     356, 360, 359, 364, 362, 357, 350, 345, 347, 338, 341, 343, 
##     338, 342, 344, 343, 346, 344, 330, 334, 328, 324, 322, 318, 
##     311, 317, 317, 320, 321, 329, 348, 335, 342, 347, 336, 341, 
##     287, 286, 287, 281, 278, 280, 283, 286, 282, 283, 281, 278, 
##     277, 280, 278, 271, 269, 311, 316, 315, 318, 319, 320, 310, 
##     303, 310, 316, 302, 297, 306, 307, 298, 297, 296, 299, 330, 
##     339, 331, 330, 328, 332, 336, 331, 333, 332, 340, 336, 335, 
##     339, 338, 333, 334, 332, 336, 331, 337, 342, 330, 328, 337, 
##     344, 335, 342, 344, 338, 340, 346, 339, 339, 337, 339, 338, 
##     342, 339, 343, 338, 342, 335, 332, 332, 337, 341, 333, 341, 
##     334, 329, 338, 366, 345, 341, 339, 333, 328, 314, 303, 291, 
##     283, 264, 249, 243, 238, 232, 225, 230, 224, 233, 225, 239, 
##     242, 252, 268, 281, 290, 291, 302, 305, 311, 332, 336, 345, 
##     348, 372, 371, 374, 377, 376, 259, 257, 255, 255, 244, 241, 
##     242, 233, 238, 244, 244, 239, 246, 240, 244, 240, 233, 239, 
##     231, 231, 227, 234, 314, 290, 289, 287, 271, 261, 267, 253, 
##     253, 246, 251, 253, 247, 237, 243, 238, 238, 235, 232, 243, 
##     242, 246, 251, 242, 247, 252, 248, 419, 407, 373, 369, 360, 
##     346, 346, 339, 328, 332, 326, 319, 315, 312, 305, 305, 296, 
##     295, 290, 287, 264, 266, 280, 260, 272, 281, 281, 281, 281, 
##     281, 281, 281, 285, 288, 288, 288, 288, 298, 309, 309, 309, 
##     307, 307, 317, 317, 317, 317, 317, 327, 327, 329, 236, 239, 
##     233, 237, 234, 245, 245, -66, 240, 245, 241, 239, 238, 245, 
##     233, 245, 242, 239, 244, 232, 246, 242, 239, 241, 230, 229, 
##     237, 226, 230, 227, 228, 235, 230, 231, 240, 227, 230, 231, 
##     227, 226, 228, 237, 234, 233, 233, 231, 234, 234, 225, 224, 
##     227, 229, 228, 223, 226, 231, 222, 230, 222, 225, 222, 229, 
##     226, 232, 230, 231, 225, 229, 227, 226, 229, 233, -500, -504, 
##     -514, -514, -510, -505, -510, -505, -518, -513, -511, -509, 
##     -511, -508, -509, -512, -516, -514, -512, -515, -515, -519, 
##     -516, -512, -513, -518, -495, -506, -521, -522, -520, -515, 
##     -514, -512, -517, -515, -507, -506, -511, -513, -493, -487, 
##     -503, -527, -523, -517, -506, -515, -514, -515, -505, -507, 
##     -502, -495, -497, -495, -502, -492, -497, -480, -488, -495, 
##     -519, -520, -516, -516, -505, -507, -513, -509, -524, -539, 
##     -537, -537, -545, -542, -539, -539, -536, -526, -528, -534, 
##     -541, -548, -553, -553, -547, -550, -548, -544, -545, -547, 
##     -539, -537, -536, -539, -533, -530, -537, -536, -534, -527, 
##     -538, -539, -536, -537, -543, -540, -547, -536, -566, -563, 
##     325, 318, 321, 318, 317, 331, 325, 326, 329, 327, 323, 324, 
##     322, 331, 335, 333, 330, 335, 342, 334, 338, 337, 333, 331, 
##     329, 325, 321, 314, 309, 313, 311, -529, -521, -529, -525, 
##     -516, -519, -506, -512, -515, -514, -509, -512, -507, -523, 
##     -513, -519, -513, -517, -512, -513, -521, -528, -526, -544, 
##     -552, -552, -556, -538, -537, -538, -532, -527, -519, -523, 
##     -511, -505, -505, -504, -498, -501, -502, -494, -497, -507, 
##     -514, -528, -533, -534, -538, -545, -546, -546, -543, -537, 
##     -535, -542, -549, -542, -542, -540, -541, -537, -542, -547, 
##     -540, -538, -547, -540, -545, -536, -540, -551, -546, -545, 
##     -545, -547, -543, -541, -541, -541, -545, -555, -537, -670, 
##     -654, -663, -670, -689, -689, -703, -707, -702, -699, -699, 
##     -696, -695, -685, -668, -671, -670, -648, -646, -633, -629, 
##     -621, -619, -606, -596, -598, -588, -563, -557, -553, -548, 
##     -546, -549, -548, -541, -539, -521, -521, -519, -505, -504, 
##     -510, -511, -515, -519, -524, -527, -532, -541, -550, -557, 
##     -572, -590, -607, -610, -623, -653, -673, -676, -689, -689, 
##     -693, -703, -702, -696, -677, -680, -678, -671, -657, -658, 
##     -649, -643, -638, -630, -616, -602, -601, -588, -591, -586, 
##     -577, -575, -566, -558, -562, -550, -552, -527, -525, -517, 
##     -526, -519, -528, -525, -517, -582, -592, -614, -623, -632, 
##     -646, -674, -678, -684, -694, -694, -697, -705, -701, -710, 
##     -711, -707, -714, -718, -708, -713, -718, -719, -724, -716, 
##     -715, -708, -697, -705, -705, -694, -692, -686, -655, -657, 
##     -653, -643, -621, -616, -585, -575, -564, -547, -542, -533, 
##     -529, -526, -528, -527, -538, -534, -543, -551, -555, -560, 
##     -559, -572, -575, -587, -611, -612, -640, -661, -668, -676, 
##     -710, -717, -719, -721, -712, -713, -722, -723, -515, -512, 
##     -511, -508, -517, -518, -519, -517, -533, -535, -541, -567, 
##     -586, -604, -622, -639, -645, -674, -677, -687, -693, -695, 
##     -707, -711, -724, -719, -724, -724, -730, -719, -702, -677, 
##     -661, -665, -653, -653, -628, -616, -616, -593, -577, -567, 
##     -566, -565, -561, -559, -565, -556, -542, -530, -497, -498, 
##     -495, -494, -496, -491, -495, -493, -502, -502, -509, -515, 
##     -515, -516, -523, -526, -543, -552, -586, -605, -630, -660, 
##     -671, -694, -715, -718, -728, -730, -726, -725, -723, -720, 
##     -725, -722, -712, -709, -696, -700, -675, -680, -670, -664, 
##     -648, -628, -602, -573, -562, -515, -507, -494, -525, -533, 
##     -541, -706, -707, -712, -697, -706, -692, -687, -690, -681, 
##     -659, -662, -650, -647, -629, -618, -608, -597, -556, -548, 
##     -544, -506, -498, -491, -487, -474, -463, -462, -472, -462, 
##     -470, -483, -493, -502, -521, -528, -544, -558, -593, -602, 
##     -629, -638, -661, -689, -694, -702, -711, -714, -720, -725, 
##     -727, -722, -724, -726, -717, -725, -716, -711, -704, -704, 
##     -709, -698, -695, -692, -686, -686, -656, -645, -633, -626, 
##     -617, -600, -591, -579, -573, -554, -546, -516, -516, -510, 
##     -502, -501, -487, -491, -490, -479, -477, 302, 316, 336, 
##     361, 367, 363, 364, 363, 374, 376, 378, 379, 387, 377, 377, 
##     367, 378, 342, 344, 362, 367, 360, 369, 378, 379, 386, 391, 
##     388, 394, 396, 401, 407, 402, 406, 405, 405, 399, 401, 398, 
##     391, 388, 391, 406, 413, 409, 406, 412, 405, 403, 414, 416, 
##     407, 406, 405, 394, 390, 384, 386, 373, 363, 345, 322, 281, 
##     263, 258, 223, 213, 214, 193, 178, 181, 174, 178, 181, 181, 
##     185, 190, 183, 177, 180, 175, 179, 184, 198, 212, 230, 240, 
##     241, 273, 281, 296, 312, 350, 353, 376, 373, 381, 388, 373, 
##     386, 381, 380, 385, 393, 393, 399, 402, 396, 387, 377, 371, 
##     372, 366, 376, 379, 380, 388, 400, 399, 400, 389, 392, 392, 
##     393, 200, 204, 216, 230, 236, 247, 279, 282, 287, 299, 307, 
##     317, 324, 332, 330, 338, 341, 351, 359, 352, 356, 376, 378, 
##     388, 382, 388, 394, 389, 386, 387, 380, 374, 369, 367, 355, 
##     360, 367, 374, 384, 397, 404, 406, 404, 394, 397, 400, 401, 
##     395, 397, 390, 388, 367, 371, 353, 349, 339, 339, 323, 295, 
##     287, 264, 259, 259, 259, 259, 246, 241, 185, 173, 179, 165, 
##     155, 151, 149, 154, 151, 153, 159, 164, 177, 173, 179, 213, 
##     228, 239, 241, 321, 312, 317, 344, 349, 366, 371, 382, 389, 
##     394, 390, 382, 380, 373, 376, 372, 363, 366, 334, 313, 309, 
##     285, 248, 201, 188, 180, 165, 164, 157, 153, 151, 152, 167, 
##     169, 178, 183, 192, 198, 196, 208, 208, 223, 240, 265, 287, 
##     296, 312, 312, 320, 322, 326, 331, 334, 331, 344, 343, 344, 
##     356, 363, 364, 353, 352, 335, 332, 342, 330, 353, 377, 390, 
##     396, 403, 402, 379, 383, 378, 330, 313, 303, 301, 276, 251, 
##     222, 192, 167, 160, 155, 159, 169, 179, 180, 182, 190, 184, 
##     193, 199, 203, 223, 238, 243, 263, 297, 300, 306, 306, 323, 
##     326, 339, 343, 344, 351, 345, 358, 382, 387, 398, 397, 395, 
##     390, 398, 410, 413, 421, 425, 423, 420, 410, 408, 397, 372, 
##     361, 354, 342, 330, 333, 308, 288, 289, 266, 237, 229, 201, 
##     185, 179, 185, 178, 179, 184, 190, 183, 185, 191, 191, 198, 
##     201, 210, 214, 236, 249, 258, 281, 293, 321, 324, 345, 384, 
##     369, 365, 359, 358, 347, 337, 320, 293, 286, 271, 271, 271, 
##     263, 263, 263, 263, 245, 245, 227, 202, 174, 157, 163, 150, 
##     148, 147, 147, 152, 161, 167, 177, 195, 205, 225, 239, 257, 
##     267, 281, 282, 290, 294, 312, 327, 330, 332, 341, 338, 341, 
##     364, 371, 368, 355, 352, 347, 344, 344, 342, 346, 359, 373, 
##     372, 377, 401, 403, 386, 376, 375, 373, 354, 321, 323, 306, 
##     294, 290, 279, 304, 303, 301, 301, 301, 294, 294, 290, 288, 
##     288, 283, 282, 295, 284, 296, 305, 373, 382, 402, 439, 439, 
##     470, 481, 481, 488, 509, 515, 515, 534, 536, 543, 543, 563, 
##     575, 592, 595, 607, 599, 610, 612, 612, 603, 590, 581, 564, 
##     558, 526, 490, 457, 426, 403, 337, 306, 304, 297, 289, 287, 
##     286, 287, 285, 283, 283, 280, 275, 271, 269, 260, 263, 263, 
##     261, 262, 261, 265, 292, 300, 309, 347, 365, 381, 408, 472, 
##     512, 524, 548, 569, 590, 596, 610, 621, 620, 624, 628, 609, 
##     608, 583, 559, 549, 527, 520, 501, 495, 488, 447, 443, 424, 
##     399, 371, 354, 342, 325, 298, 287, 260, 231, 623, 632, 623, 
##     630, 622, 623, 623, 622, 628, 626, 622, 620, 598, 585, 565, 
##     550, 530, 511, 457, 424, 408, 407, 355, 344, 328, 303, 291, 
##     281, 267, 255, 248, 249, 245, 232, 235, 241, 230, 239, 245, 
##     248, 263, 275, 289, 295, 296, 327, 340, 499, 467, 446, 420, 
##     383, 355, 327, 322, 314, 304, 292, 281, 262, 241, 224, 221, 
##     214, 204, 193, 185, 179, 181, 175, 175, 177, 180, 178, 181, 
##     176, 180, 177, 183, 186, 200, 216, 227, 242, 260, 287, 295, 
##     356, 382, 442, 450, 501, 531, 560, 583, 594, 601, 615, 611, 
##     622, 629, 629, 627, 626, 622, 617, 601, 585, 555, 543, 528, 
##     505, 500, 479, 459, 440, 374, 349, 326, 486, 474, 457, 448, 
##     449, 431, 410, 403, 390, 381, 351, 346, 313, 295, 294, 260, 
##     246, 242, 228, 223, 218, 217, 211, 221, 216, 215, 594, 591, 
##     585, 571, 569, 560, 536, 522, 503, 474, 464, 447, 429, 409, 
##     399, 381, 350, 339, 316, 293, 255, 247, 236, 211, 191, 165, 
##     146, 134, 123, 121, 115, 120, 121, 121, 140, 138, 151, 162, 
##     165, 184, 229, 227, 243, 280, 299, 325, 365, 388, 430, 468, 
##     261, 215, 169, 143, 110, 91, 83, 69, 46, 38, 46, 28, 28, 
##     27, 29, 117, 143, 167, 174, 285, 357, 372, 416, 444, 481, 
##     526, 551, 570, 582, 588, 596, 589, 598, 602, 611, 607, 603, 
##     598, 593, 568, 508, 502, 486, 459, 327, 264, 233, 199, 192, 
##     135, 138, 129, 129, 127, 122, 117, 111, 116, 597, 605, 598, 
##     599, 592, 583, 583, 573, 573, 566, 557, 548, 530, 522, 503, 
##     489, 491, 482, 470, 455, 437, 436, 389, 383, 371, 368, 361, 
##     346, 355, 352, 349, 341, 346, 345, 345, 338, 340, 342, 338, 
##     333, 340, 339, 339, 340, 340, 335, 340, 340, 346, 340, 342, 
##     340, 338, 342, 340, 344, 340, 345, 349, 351, 351, 352, 340, 
##     336, 346, 348, 347, 337, 343, 343, 347, 343, 349, 347, 340, 
##     339, 343, 337, 338, 339, 329, 325, 330, 328, 327, 326, 325, 
##     329, 331, 327, 326, 328, 318, 326, 318, 325, 329, 321, 324, 
##     325, 316, 321, 317, 307, 299, 295, 279, 435, 433, 453, 456, 
##     456, 457, 459, 457, 462, 457, 460, 467, 462, 457, 461, 455, 
##     451, 453, 449, 448, 445, 452, 446, 448, 434, 434, 431, 425, 
##     434, 427, 423, 427, 419, 426, 413, 412, 411, 413, 412, 355, 
##     354, 357, 347, 347, 351, 351, 357, 343, 355, 347, 354, 353, 
##     350, 356, 346, 350, 353, 348, 356, 344, 348, 344, 345, 344, 
##     345, 338, 343, 344, 338, 338, 350, 354, 354, 362, 372, 397, 
##     443, 462, 481, 504, 516, 531, 536, 567, 599, 602, 604, 613, 
##     615, 617, 609, 600, 577, 570, 557, 562, 549, 543, 533, 524, 
##     472, 455, 465, 472, 508, 535, 583, 609, 609, 613, 603, 605, 
##     610, 593, 589, 575, 578, 564, 548, 543, 527, 497, 486, 475, 
##     463, 431, 406, 387, 339, 288, 278, 265, 264, 263, 308, 351, 
##     356, 372, 376, 399, 404, 418, 513, 537, 565, 583, 590, 590, 
##     599, 608, 599, 607, 602, 602, 597, 597, 594, 589, 580, 575, 
##     577, 549, 540, 528, 517, 506, 482, 410, 405, 377, 361, 317, 
##     310, 304, 279, 252, 234, 254, 255, 269, 293, 289, 309, 374, 
##     400, 456, 487, 545, 559, 573, 576, 585, 598, 600, 602, 598, 
##     598, 591, 589, 594, 584, 563, 544, 530, 505, 509, 483, 445, 
##     367, 338, 342, 328, 327, 308, 288, 279, 507, 511, 501, 451, 
##     450, 438, 408, 383, 342, 321, 279, 276, 261, 271, 305, 343, 
##     387, 391, 437, 470, 475, 516, 523, 533, 554, 582, 597, 597, 
##     589, 587, 569, 568, 550, 535, 542, 527, 522, 509, 466, 415, 
##     389, 385, 361, 341, 321, 320, 269, 273, 288, 316, 352, 352, 
##     365, 376, 401, 413, 421, 440, 455, 520, 538, 577, 584, 586, 
##     587, 590, 569, 564, 564, 565, 559, 545, 544, 529, 518, 518, 
##     495, 477, 475, 463, 449, 439, 413, 396, 391, 369, 358, 308, 
##     299, 271, 272, 269, 270, 277, 309, 311, 352, 356, 376, 387, 
##     463, 470, 500, 530, 547, 586, 590, 583, 584, 582, 576, 568, 
##     562, 311, 368, 381, 403, 442, 461, 458, 484, 536, 542, 560, 
##     598, 593, 599, 586, 587, 574, 574, 567, 565, 560, 559, 561, 
##     554, 557, 556, 554, 539, 494, 522, 524, 239, 240, 235, 235, 
##     231, 229, 228, 214, 218, 221, 261, 284, 309, 309, 331, 343, 
##     366, 448, 469, 561, 555, 548, 539, 528, 512, 500, 471, 440, 
##     426, 411, 386, 362, 363, 364, 357, 356, 334, 320, 306, 302, 
##     289, 280, 268, 256, 255, 236, 227, 220, 225, 221, 214, 218, 
##     225, 218, 226, 309, 344, 366, 391, 399, 431, 435, 436, 452, 
##     461, 470, 473, 510, 520, 528, 531, 536, 548, 565, 569, 566, 
##     583, 584, 578, 585, 585, 578, 565, 565, 561, 559, 543, 531, 
##     520, 505, 489, 467, 458, 423, 412, 404, 387, 388, 375, 375, 
##     372, 373, 359, 356, 351, 344, 325, 319, 306, 293, 295, 299, 
##     292, 273, 274, 267, 265, 251, 243, 244, 243, 249, 255, 273, 
##     292, 323, 357, 371, 389, 398, 417, 451, 485, 496, 523, 533, 
##     546, 546, 551, 554, 557, 563, 566, 569, 367, 344, 346, 338, 
##     333, 328, 327, 324, 326, 319, 323, 310, 309, 302, 274, 279, 
##     275, 264, 266, 247, 248, 239, 223, 216, 226, 221, 230, 565, 
##     554, 561, 564, 561, 563, 561, 564, 567, 548, 537, 521, 502, 
##     481, 470, 447, 424, 398, 389, 382, 362, 362, 349, 332, 327, 
##     318, 310, 298, 285, 286, 286, 275, 279, 275, 273, 271, 260, 
##     261, 265, 260, 272, 266, 278, 274, 268, 265, 252, 251, 249, 
##     243, 238, 247, 245, 244, 242, 247, 256, 255, 262, 274, 278, 
##     295, 296, 308, 312, 323, 330, 350, 370, 381, 442, 459, 470, 
##     475, 480, 487, 501, 529, 534, 544, 548, 550, 550, 556, 556, 
##     550, 563, 563, 558, 557, 557, 555, 563, 554, 304, 282, 283, 
##     283, 282, 272, 274, 269, 263, 254, 256, 256, 249, 250, 243, 
##     249, 246, 256, 255, 256, 283, 295, 316, 350, 382, 411, 427, 
##     451, 527, 536, 540, 542, 549, 557, 554, 552, 549, 290, 288, 
##     282, 281, 286, 291, 289, 284, 285, 282, 272, 285, 284, 291, 
##     296, 295, 301, 295, 282, 280, 285, 273, 270, 267, 260, 254, 
##     253, 250, 250, 253, 253, 264, 278, 277, 283, 293, 311, 321, 
##     331, 346, 376, 399, 406, 433, 456, 473, 483, 513, 520, 528, 
##     532, 540, 543, 544, 542, 542, 536, 541, 534, 534, 539, 529, 
##     541, 538, 532, 529, 526, 519, 516, 457, 449, 410, 383, 361, 
##     360, 342, 306, 291, 273, 279, 268, 277, 274, 262, 257, 250, 
##     256, 241, 247, 241, 247, 249, 239, 245, 241, 233, 232, 220, 
##     215, 221, 215, 218, 218, 221, 214, 214, 212, 217, 211, 216, 
##     217, 212, 219, 215, 225, 223, 247, 263, 280, 286, 306, 332, 
##     361, 384, 393, 404, 413, 429, 443, 462, 468, 507, 515, 517, 
##     523, 532, 535, 537, 544, 545, 538, 550, 542, 555, 558, 553, 
##     554, 560, 562, 559, 564, 558, 550, 550, 544, 532, 524, 503, 
##     496, 491, 462, 401, 391, 373, 356, 356, 347, 341, 330, 326, 
##     303, 292, 296, 292, 284, 273, 272, 263, 251, 259, 268, 254, 
##     252, 241, 237, 241, 242, 234, 227, 220, 216, 213, 223, 233, 
##     230, 236, 241, 245, 250, 255, 261, 277, 311, 318, 339, 342, 
##     355, 371, 408, 412, 558, 554, 553, 549, 552, 549, 548, 541, 
##     535, 533, 514, 518, 485, 466, 452, 423, 407, 404, 390, 372, 
##     356, 340, 335, 314, 309, 559, 550, 543, 540, 528, 505, 475, 
##     417, 412, 379, 338, 328, 319, 319, 315, 308, 304, 302, 234, 
##     239, 240, 248, 247, 279, 278, 301, 329, 348, 406, 407, 424, 
##     448, 455, 470, 473, 487, 495, 497, 504, 511, 515, 516, 533, 
##     529, 539, 540, 539, 543, 549, 551, 581, 572, 575, 575, 575, 
##     574, 555, 555, 545, 521, 496, 487, 463, 455, 439, 396, 392, 
##     483, 516, 524, 528, 532, 534, 555, 557, 568, 571, 579, 576, 
##     586, 586, 585, 589, 586, 576, 586, 584, 585, 582, 577, 572, 
##     353, 353, 350, 338, 342, 341, 337, 339, 343, 331, 332, 332, 
##     325, 312, 312, 316, 319, 321, 310, 265, 273, 274, 275, 282, 
##     300, 313, 306, 329, 334, 329, 336, 340, 340, 343, 351, 350, 
##     352, 359, 349, 356, 359, 366, 358, 371, 373, 380, 376, 389, 
##     375, 375, 374, 377, 380, 382, 380, 381, 391, 395, 382, 386, 
##     385, 387, 390, 389, 386, 382, 383, 388, 389, 393, 420, 423, 
##     425, 417, 416, 411, 411, 406, 403, 400, 395, 395, 383, 386, 
##     386, 383, 378, 388, 375, 377, 380, 386, 383, 381, 383, 379, 
##     382, 377, 378, 383, 369, 362, 369, 369, 371, 365, 367, 371, 
##     372, 372, 372, 366, 367, 372, 373, 367, 372, 370, 372, 371, 
##     369, 371, 365, 365, 367, 349, 352, 345, 342, 334, 332, 330, 
##     353, 353, 353, 369, 381, 394, 398, 398, 403, 412, 424, 429, 
##     440, 459, 479, 483, 498, 511, 536, 547, 552, 572, 592, 598, 
##     610, 619, 623, 623, 625, 629, 629, 628, 631, 628, 625, 628, 
##     631, 615, 608, 600, 585, 572, 568, 533, 514, 506, 494, 478, 
##     470, 468, 459, 447, 440, 443, 427, 423, 423, 416, 417, 416, 
##     413, 407, 407, 397, 402, 397, 392, 391, 399, 398, 385, 392, 
##     393, 402, 402, 402, 402, 420, 431, 427, 441, 450, 453, 471, 
##     495, 500, 507, 537, 559, 576, 567, 581, 582, 596, 604, 602, 
##     605, 602, 611, 615, 615, 622, 621, 619, 629, 628, 618, 515, 
##     501, 502, 485, 489, 481, 487, 483, 476, 470, 470, 470, 454, 
##     456, 453, 445, 442, 437, 433, 432, 425, 423, 428, 427, 422, 
##     619, 623, 621, 617, 621, 628, 633, 616, 615, 612, 608, 594, 
##     586, 570, 564, 554, 539, 531, 532, 528, 521, 508, 510, 500, 
##     493, 474, 468, 467, 466, 453, 453, 455, 457, 457, 444, 442, 
##     435, 431, 423, 428, 417, 421, 420, 423, 422, 428, 425, 428, 
##     421, 421, 427, 420, 433, 441, 452, 461, 472, 495, 510, 523, 
##     541, 553, 563, 566, 577, 576, 589, 584, 586, 589, 601, 597, 
##     600, 606, 607, 610, 604, 615, 616, 613, 605, 607, 601, 603, 
##     601, 585, 584, 581, 581, 574, 550, 529, 518, 517, 510, 499, 
##     506, 499, 496, 478, 478, 476, 470, 466, 471, 468, 463, 457, 
##     456, 455, 453, 455, 460, 460, 446, 448, 442, 444, 444, 441, 
##     440, 439, 443, 441, 444, 439, 449, 457, 450, 457, 462, 463, 
##     478, 476, 488, 495, 502, 502, 503, 500, 504, 502, 508, 528, 
##     536, 533, 541, 548, 560, 567, 569, 578, 580, 588, 587, 591, 
##     604, 612, 615, 616, 607, 607, 616, 604, 597, 594, 587, 591, 
##     584, 576, 577, 556, 548, 558, 537, 522, 528, 517, 515, 504, 
##     498, 497, 488, 489, 489, 479, 475, 440, 445, 440, 443, 450, 
##     454, 457, 468, 462, 473, 478, 490, 486, 503, 517, 523, 531, 
##     562, 576, 583, 583, 587, 585, 602, 599, 611, 609, 612, 609, 
##     607, 603, 610, 611, 609, 609, 604, 597, 589, 569, 540, 532, 
##     519, 510, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 
##     495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 495, 
##     495, 495, 495, 495, 495, 468, 473, 464, 466, 464, 460, 451, 
##     441, 421, 416, 411, 405, 408, 392, 400, 402, 392, 397, 401, 
##     397, 395, 404, 408, 406, 407, 407, 411, 412, 412, 423, 436, 
##     441, 447, 462, 462, 471, 475, 475, 488, 529, 551, 573, 573, 
##     577, 580, 579, 586, 577, 580, 586, 583, 585, 593, 593, 593, 
##     584, 586, 595, 592, 596, 598, 600, 606, 607, 603, 610, 603, 
##     595, 573, 567, 561, 547, 547, 527, 520, 514, 506, 504, 502, 
##     491, 482, 475, 477, 470, 468, 473, 466, 463, 461, 471, 462, 
##     464, 469, 461, 456, 457, 441, 442, 439, 436, 424, 425, 423, 
##     426, 418, 425, 440, 456, 463, 462, 472, 477, 490, 506, 519, 
##     519, 537, 545, 551, 574, 576, 575, 582, 587, 592, 598, 599, 
##     601, 606, 604, 623, 626, 618, 627, 626, 622, 623, 624, 614, 
##     617, 611, 602, 601, 586, 585, 575, 576, 557, 539, 542, 526, 
##     531, 524, 525, 514, 516, 493, 504, 483, 477, 470, 478, 476, 
##     470, 279, 276, 277, 270, 270, 385, 386, 387, 391, 394, 388, 
##     394, 387, 383, 379, 376, 379, 373, 367, 364, 363, 370, 366, 
##     365, 355, 359, 308, 308, 300, 304, 297, 292, 299, 308, 305, 
##     301, 299, 300, 302, 299, 294, 297, 294, 293, 296, 285, 287, 
##     283, 294, 294, 290, 292, 290, 283, 289, 289, 285, 287, 289, 
##     286, 285, 287, 284, 284, 285, 277, 278, 279, 280, 283, 284, 
##     276, 277, 280, 279, 276, 279, 272, 272, 274, 266, 270, 269, 
##     260, 262, 260, 253, 255, 251, 255, 254, 256, 255, 258, 250, 
##     244, 250, 247, 245, 244, 495, 495, 495, 495, 513, 512, 495, 
##     495, 495, 484, 484, 484, 491, 491, 491, 487, 487, 476, 480, 
##     474, 475, 466, 462, 466, 469, 465, 455, 460, 455, 456, 450, 
##     445, 438, 444, 441, 436, 439, 435, 435, 437, 439, 437, 438, 
##     437, 440, 434, 422, 446, 455, 476, 472, 479, 491, 499, 527, 
##     535, 543, 573, 574, 578, 584, 594, 599, 608, 600, 629, 632, 
##     631, 632, 631, 631, 632, 632, 630, 630, 631, 617, 620, 612, 
##     608, 572, 565, 557, 555, 547, 548, 531, 520, 386, 394, 393, 
##     398, 397, 403, 408, 409, 414, 440, 444, 440, 441, 444, 451, 
##     429, 428, 426, 431, 423, 525, 518, 522, 518, 504, 403, 378, 
##     331, 315, 266, 263, 267, 293, 318, 361, 376, 390, 431, 450, 
##     482, 562, 547, 540, 540, 541, 531, 529, 526, 487, 475, 469, 
##     447, 447, 429, 416, 405, 357, 355, 341, 337, 326, 293, 276, 
##     265, 239, 254, 254, 274, 279, 270, 293, 310, 313, 320, 352, 
##     363, 383, 391, 426, 445, 457, 502, 526, 536, 555, 572, 583, 
##     585, 586, 579, 583, 569, 551, 549, 539, 534, 514, 449, 446, 
##     413, 414, 348, 335, 310, 271, 263, 247, 239, 240, 251, 276, 
##     281, 299, 325, 351, 366, 389, 406, 422, 414, 407, 399, 388, 
##     381, 365, 351, 345, 346, 344, 336, 343, 329, 334, 339, 351, 
##     356, 358, 361, 359, 363, 358, 363, 356, 365, 352, 360, 354, 
##     354, 360, 242, 230, 230, 230, 230, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 
##     230, 230, 230, 230, 348, 347, 338, 342, 342, 362, 370, 362, 
##     366, 345, 351, 348, 348, 354, 359, 361, 374, 374, 377, 385, 
##     399, 397, 387, 384, 383, 389, 382, 384, 271, 284, 337, 331, 
##     339, 341, 346, 344, 344, 338, 341, 336, 349, 352, 355, 357, 
##     360, 351, 348, 315, 314, 391, 380, 381, 352, 335, 329, 317, 
##     303, 302, 288, 289, 272, 245, 221, 217, 189, 178, 168, 165, 
##     178, 187, 182, 187, 185, 187, 188, 187, 221, 209, 198, 184, 
##     191, 184, 191, 183, 189, 180, 188, 186, 189, 202, 207, 234, 
##     252, 261, 297, 321, 400, 386, 402, 403, 407, 407, 412, 408, 
##     405, 402, 400, 390, 389, 377, 371, 368, 357, 325, 291, 272, 
##     249, -562, -591, -607, -614, -626, -630, -637, -645, -649, 
##     -651, -670, -672, -688, -697, -693, -701, -708, -707, -705, 
##     -706, -713, -708, -720, -723, -723, -716, -715, -718, -713, 
##     -724, -720, -717, -722, -717, -718, -712, -711, -698, -669, 
##     -666, -652, -637, -620, -595, -568, -556, -558, -541, -546, 
##     -532, -529, -521, -520, -518, -521, -520, -571, -592, -590, 
##     -611, -620, -629, -639, -650, 248, 240, 265, 260, 231, 220, 
##     225, 226, 226, 231, 245, 250, 246, 247, 248, 232, 247, 240, 
##     245, 245, 347, 330, 320, 318, 324, 315, 323, 321, 320, 321, 
##     326, 325, 327, 326, 330, 336, 343, 342, 352, 355, 364, 369, 
##     362, 359, 349, 127, 143, 147, 148, 160, 163, 178, 205, 233, 
##     260, 298, 329, 344, 457, 520, 518, 536, 553, 561, 572, 581, 
##     589, 550, 557, 569, 570, 575, 595, 619, 616, 610, 624, 620, 
##     616, 615, 615, 614, 609, 608, 579, 550, 522, 386, 318, 292, 
##     213, 224, 229, 271, 278, 311, 312, 352, 358, 409, 409, 457, 
##     475, 505, 519, 524, 540, 552, 563, 570, 571, -3600, 585, 
##     583, 465, 481, 506, 513, 528, 541, 567, 570, 574, 581, 600, 
##     604, 614, 610, 619, 619, 624, 616, 611, 610, 595, 595, 510, 
##     309, 275, 249, 255, 243, 243, 248, 243, 232, 219, 225, 234, 
##     229, 227, 231, 233, 234, 238, 245, 248, 258, 263, 274, 320, 
##     382, 398, 418, 356, 375, 405, 462, 468, 485, 528, 559, 578, 
##     591, 592, 599, 604, 604, 607, 620, 619, 625, 618, 621, 619, 
##     610, 610, 604, 586, 583, 234, 239, 233, 234, 235, 233, 224, 
##     241, 247, 259, 261, 267, 277, 294, 377, 427, 453, 467, 490, 
##     523, 538, 565, 592, 605, 626, -497, -509, -507, -543, -546, 
##     -552, -569, -594, -624, -642, -649, -661, -679, -693, -694, 
##     -696, -720, -718, -725, -718, -715, -729, -722, -718, -722, 
##     -715, -730, -729, -721, -722, -724, -723, -720, -718, -712, 
##     -717, -710, -701, -705, -672, -659, -625, -617, -583, -578, 
##     -568, -566, -517, -510, -514, -508, -505, -509, -513, -524, 
##     -534, -542, -552, -571, -587, -618, -634, -655, -661, -672, 
##     -686, -686, -716, -719, -722, -724, -732, -731, -744, -741, 
##     -738, -737, -729, -731, -731, -734, -728, -728, -723, -725, 
##     -721, -728, -720, -714, -711, -709, -707, -695, -686, -681, 
##     -662, -649, -646, -635, -630, -626, -614, -604, -590, -552, 
##     -535, -519, -503, -499, -499, -496, -499, -504, -506, -511, 
##     -516, -514, -522, -516, -521, -517, -519, -516, -518, -521, 
##     -524, -515, -519, -519, -510, -514, -518, -503, -496, -504, 
##     -515, -512, -512, -520, -513, -517, -516, -525, -517, -511, 
##     -518, -520, -515, -518, -510, -509, -505, -507, -507, -505, 
##     -525, -510, -518, -528, -518, -508, -517, -501, -498, -506, 
##     -503, -510, -518, -520, -520, -527, -533, -516, -521, -512, 
##     -515, -524, -518, -521, -519, -511, -506, -507, -511, -525, 
##     -520, -529, -532, -526, -528, -527, -526, -535, -536, -547, 
##     -541, -543, -540, -545, -535, -539, -543, -535, -532, -541, 
##     -537, -527, -532, -521, -523, -527, -528, -530, -533, -521, 
##     -527, -517, -516, -506, -503, -505, -505, -501, -501, -500, 
##     -495, -497, -488, -486, -483, -479, -482, -479, -477, -469, 
##     -474, -476, -476, -478, -483, -477, -478, -481, -485, -488, 
##     -484, -518, -516, -525, -526, -524, -518, -523, -526, -532, 
##     -520, -524, -520, -513, -517, -514, -516, -519, -527, -518, 
##     -525, -520, -520, -512, -505, -502, -496, -503, -491, -500, 
##     -504, -491, -501, -505, -498, -500, -491, -501, -499, -503, 
##     -501, -499, -505, -502, -491, -494, -500, -500, -501, -502, 
##     -505, -516, -505, -520, -517, -514, -522, -513, -510, -517, 
##     -524, -526, -529, -525, -510, -518, -514, -516, -513, -508, 
##     -504, -508, -501, -509, -507, -505, -512, -495, -499, -509, 
##     -493, -491, -501, -501, -504, -501, -505, -500, -486, -490, 
##     -489, -498, -504, -504, -515, -508, -505, -508, -508, -508, 
##     -504, -504, -516, -506, -504, -508, -503, -502, -500, -503, 
##     -505, -505, -496, -494, -490, -495, -497, -494, -496, -501, 
##     -498, -510, -514, -517, -502, -509, -505, -503, -494, -491, 
##     -499, -500, -501, -497, -504, -502, -493, 230, 216, 196, 
##     196, 196, 196, 196, 196, 191, 191, 191, 191, 185, 157, 150, 
##     146, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
##     116, 127, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 
##     125, 138, 147, 152, 152, 153, 153, 151, 154, 144, 141, 138, 
##     125, 119, 116, 105, 105, 105, 105, 105, 105, 105, 105, 105, 
##     105, 105, 105, 105, 96, 100, 116, 136, 137, 147, 109, 117, 
##     120, 119, 113, 114, 119, 119, 119, 119, 113, 119, 116, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 201, 208, 
##     216, 223, 223, 234, 234, 244, 247, 249, 245, 168, 161, 152, 
##     154, 153, 149, 152, 147, 159, 153, 158, 153, 146, 146, 133, 
##     129, 124, 126, 125, 119, 127, 125, 136, 143, 150, 152, 153, 
##     153, 153, 163, 164, 172, 172, 172, 182, 221, 232, 243, 271, 
##     283, 273, 270, 263, 238, 244, 234, 228, 216, 214, 202, 193, 
##     188, 177, 181, 169, 165, 159, 162, 152, 143, 139, 138, 122, 
##     123, 119, 119, 118, 120, 124, 128, 143, 150, 163, 171, 170, 
##     186, 205, 200, 204, 215, 230, 239, 244, 262, 263, 246, 238, 
##     236, 236, 227, 206, 210, 198, 198, 180, 180, 173, 164, 160, 
##     153, 148, 147, 146, 141, 131, 134, 123, 121, 124, 135, 135, 
##     139, 143, 140, 139, 147, 147, 159, 157, 153, 157, 157, 166, 
##     165, 180, 178, 187, 191, 207, 201, 215, 225, 237, 242, 246, 
##     234, 239, 223, 210, 204, 194, 179, 172, 165, 165, 165, 165, 
##     165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
##     165, 165, 160, 153, 163, 155, 158, 163, 156, 187, 191, 193, 
##     195, 195, 195, 195, 195, 195, 195, 195, 195, 195, 195, 195, 
##     195, 210, 211, 217, 217, 217, 217, 217, 217, 217, 217, 217, 
##     217, 213, 216, 222, 222, 228, 232, 231, 235, 235, 235, 243, 
##     232, 238, 238, 238, 238, 238, 238, 238, 238, 238, 238, 229, 
##     229, 229, 229, 229, 229, 243, 243, 240, 245, 240, 244, 243, 
##     242, 241, 238, 248, 243, 248, 247, 241, 239, 234, 238, 234, 
##     226, 214, 202, 192, 189, 178, 168, 168, 148, 146, 146, 144, 
##     143, 136, 132, 131, 127, 111, 112, 100, 108, 102, 111, 114, 
##     121, 128, 127, 132, 135, 137, 161, 168, 189, 189, 202, 204, 
##     206, 240, 263, 265, 272, 264, 280, 289, 287, 288, 293, 291, 
##     292, 283, 285, 272, 274, 266, 259, 258, 261, 252, 254, 243, 
##     224, 209, 180, 181, 182, 179, 184, 171, 168, 163, 163, 159, 
##     161, 171, 170, 169, 167, 185, 197, 188, 210, 212, 218, 241, 
##     229, 242, 241, 240, 243, 257, 257, 258, 260, 254, 251, 248, 
##     157, 155, 158, 166, 197, 211, 212, 217, 215, 223, 230, 231, 
##     235, 246, 246, 259, 251, 260, 258, 260, 249, 252, 239, 243, 
##     237, 241, 231, 232, 220, 206, 214, 200, 192, 187, 184, 189, 
##     187, 189, 180, 186, 189, 188, 178, 184, 180, 175, 174, 170, 
##     177, 180, 186, 187, 190, 192, 197, 210, 209, 211, 214, 216, 
##     215, 218, 222, 226, 230, 239, 257, 256, 258, 259, 250, 260, 
##     249, 238, 241, 231, 230, 228, 223, 221, 218, 215, 224, 222, 
##     215, 213, 211, 215, 216, 214, 206, 206, 204, 208, 213, 218, 
##     231, 233, 243, 247, 252, 248, 243, 245, 232, 229, 231, 231, 
##     206, 206, 188, 187, 189, 192, 192, 205, 204, 196, 192, 179, 
##     178, 193, 183, 186, 184, 186, 179, 174, 183, 187, 194, 214, 
##     217, 227, 235, 230, 240, 241, 235, 228, 232, 228, 233, 227, 
##     230, 240, 241, 242, 238, 222, 215, 218, 208, 193, 186, 186, 
##     179, 189, 182, 179, 176, 180, 186, 186, 174, 171, 181, 172, 
##     176, 170, 177, 179, 187, 190, 201, 201, 204, 212, 211, 213, 
##     216, 218, 226, 230, 232, 229, 221, 207, 220, 224, 213, 208, 
##     212, 203, 195, 189, 187, 189, 179, 182, 185, 180, 184, 179, 
##     181, 175, 181, 182, 177, 177, 175, 176, 173, 172, 171, 167, 
##     179, 200, 188, 185, 192, 189, 184, 189, 189, 195, 187, 191, 
##     192, 189, 190, 183, 183, 178, 186, 202, 219, 222, 226, 227, 
##     232, 229, 231, 230, 230, 230, 230, 225, 216, 226, 222, 211, 
##     215, 206, 202, 197, 196, 191, 195, 200, 201, 207, 212, 214, 
##     213, 219, 222, 219, 221, 218, 221, 214, 215, 221, 202, 195, 
##     198, 206, 200, 208, 215, 214, 224, 230, 240, 240, 249, 247, 
##     251, 254, 246, 251, 247, 246, 242, 246, 245, 245, 230, 232, 
##     226, 227, 228, 225, 227, 229, 226, 223, 229, 236, 222, 234, 
##     236, 229, 229, 231, 231, 232, 223, 222, 224, 232, 233, 221, 
##     214, 201, 582, 582, 578, 582, 566, 566, 560, 556, 556, 540, 
##     540, 541, 523, 523, 512, 509, 491, 463, 449, 432, 393, 377, 
##     368, 361, 346, 338, 325, 317, 292, 295, 275, 270, 279, 265, 
##     247, 248, 242, 239, 239, 238, 251, 251, 260, 262, 254, 250, 
##     253, 251, 250, 249, 257, 247, 245, 247, 247, 250, 260, 252, 
##     255, 241, 261, 259, 260, 247, 252, 254, 251, 244, 246, 249, 
##     248, 251, 248, 257, 248, 242, 247, 246, 245, 245, 238, 244, 
##     240, 248, 245, 240, 241, 234, 241, 240, 242, 235, 235, 234, 
##     231, 232, 237, 253, 255, 259, 262, 268, 263, 269, 274, 280, 
##     280, 280, 275, 272, 279, 268, 280, 286, 278, 282, 280, 291, 
##     282, 286, 289, 287, 296, 287, 287, 296, 300, 303, 304, 307, 
##     304, 308, 309, 302, 294, 293, 298, 301, 302, 296, 299, 300, 
##     306, 295, 305, 288, 284, 280, 277, 267, 270, 259, 259, 248, 
##     252, 253, 251, 249, 245, 264, 260, 260, 266, 272, 270, 290, 
##     290, 300, 298, 293, 304, 312, 317, 320, 313, 319, 319, 317, 
##     310, 315, 307, 302, 295, 304, 285, 289, 285, 281, 277, 275, 
##     270, 266, 262, 251, 249, 253, 254, 255, 253, 264, 265, 270, 
##     276, 276, 291, 282, 300, 305, 307, 312, 335, 331, 330, 332, 
##     335, 328, 327, 329, 334, 326, 326, 332, 327, 324, 321, 305, 
##     297, 295, 300, 293, 295, 274, 232, 235, 244, 245, 247, 248, 
##     248, 246, 254, 254, 262, 264, 266, 292, 284, 316, 317, 335, 
##     342, 350, 350, 355, 355, 363, 361, 354, 353, 354, 344, 344, 
##     343, 327, 317, 296, 287, 288, 272, 249, 245, 255, 263, 268, 
##     272, 278, 323, 326, 331, 336, 339, 346, 342, 354, 351, 358, 
##     352, 351, 350, 348, 335, 342, 333, 328, 322, 315, 285, 290, 
##     281, 277, 264, 255, 258, 246, 249, 256, 249, 255, 261, 272, 
##     272, 270, 271, 280, 281, 292, 296, 321, 316, 328, 334, 357, 
##     352, 350, 358, 342, 343, 350, 343, 339, 341, 327, 325, 321, 
##     310, 311, 292, 288, 281, 282, 277, 271, 261, 266, 282, 284, 
##     281, 286, 294, 317, 315, 325, 330, 338, 342, 359, 369, 385, 
##     381, 374, 358, 348, 350, 333, 333, 323, 312, 310, 295, 292, 
##     284, 288, 296, 290, 294, 288, 281, 270, 262, 259, 265, 266, 
##     270, 280, 285, 291, 290, 305, 311, 317, 325, 335, 348, 350, 
##     361, 372, 362, 361, 365, 356, 358, 361, 349, 339, 338, 328, 
##     326, 320, 325, 298, 303, 299, 295, 284, 284, 273, 287, 284, 
##     280, 289, 296, 296, 306, 313, 319, 338, 340, 349, 360, 356, 
##     358, 357, 351, 353, 352, 354, 353, 340, 343, 335, 338, 331, 
##     334, 325, 326, 334, 333, 323, 321, 320, 313, 312, 306, 291, 
##     286, 279, 256, 244, 247, 248, 247, 251, 249, 248, 252, 252, 
##     256, 256, 256, 261, 253, 256, 254, 249, 248, 252, 247, 247, 
##     254, 260, 254, 244, 253, 254, 260, 254, 248, 251, 254, 244, 
##     245, 253, 245, 248, 253, 246, 252, 247, 246, 249, 247, 256, 
##     261, 260, 270, 282, 297, 298, 435, 464, 471, 486, 494, 509, 
##     517, 527, 524, 543, 530, 517, 506, 476, 378, 375, 371, 365, 
##     541, 543, 551, 551, 558, 557, 555, 563, 558, 549, 543, 536, 
##     521, 522, 503, 504, 484, 467, 452, 419, 406, 403, 352, 347, 
##     342, 323, 324, 309, 312, 310, 305, 310, 301, 273, 275, 283, 
##     277, 272, 275, 271, 275, 266, 273, 268, 269, 260, 266, 263, 
##     263, 260, 261, 269, 264, 271, 267, 262, 263, 264, 266, 259, 
##     263, 255, 254, 259, 248, 425, 465, 485, 499, 504, 510, 511, 
##     516, 521, 515, 517, 525, 524, 529, 528, 524, 526, 527, 528, 
##     507, 507, 492, 483, 451, 366, 343, 309, 291, 276, 269, 253, 
##     549, 554, 549, 558, 559, 576, 566, 568, 569, 570, 580, 579, 
##     568, 569, 577, 557, 557, 548, 533, 522, 509, 483, 202, 199, 
##     200, 199, 210, 198, 202, 203, 208, 212, 218, 222, 223, 231, 
##     230, 246, 245, 244, 244, 252, 251, 256, 249, 261, 255, 254, 
##     257, 256, 270, 276, 272, 276, 273, 275, 278, 286, 298, 302, 
##     301, 301, 295, 298, 283, 283, 282, 279, 264, 269, 256, 242, 
##     240, 242, 236, 229, 223, 224, 214, 210, 218, 212, 207, 215, 
##     215, 222, 235, 220, 226, 225, 229, 234, 228, 228, 231, 228, 
##     229, 225, 230, 220, 223, 222, 227, 217, 216, 216, 223, 217, 
##     213, 210, 215, 219, 222, 227, 229, 239, 242, 245, 238, 238, 
##     236, 230, 235, 235, 232, 234, 230, 237, 238, 240, 250, 258, 
##     260, 260, 259, 261, 255, 253, 251, 242, 249, 243, 254, 257, 
##     259, 266, 267, 259, 262, 259, 266, 265, 262, 262, 266, 264, 
##     262, 261, 251, 247, 248, 258, 246, 254, 248, 247, 254, 259, 
##     261, 269, 277, 285, 292, 296, 298, 298, 305, 294, 298, 303, 
##     309, 307, 306, 308, 303, 306, 310, 306, 302, 307, 303, 299, 
##     298, 298, 294, 299, 290, 293, 285, 290, 271, 263, 267, 262, 
##     259, 261, 257, 249, 249, 252, 247, 244, 247, 248, 244, 247, 
##     253, 259, 252, 265, 263, 264, 262, 257, 262, 251, 261, 255, 
##     256, 249, 248, 245, 242, 239, 289, 281, 283, 282, 288, 282, 
##     282, 287, 286, 284, 285, 285, 277, 284, 282, 268, 274, 269, 
##     274, 268, 269, 260, 261, 251, 255, 251, 232, 236, 232, 245, 
##     245, 244, 247, 246, 244, 245, 241, 246, 245, 247, 253, 237, 
##     235, 235, 233, 228, 235, 234, 239, 239, 227, 227, 221, 218, 
##     230, 228, 236, 244, 263, 261, 267, 268, 261, 269, 261, 269, 
##     277, 276, 279, 281, 274, 286, 282, 283, 271, 281, 277, 273, 
##     266, 263, 260, 260, 261, 257, 257, 258, 249, 254, 254, 245, 
##     257, 246, 246, 248, 250, 249, 246, 261, 249, 244, 247, 244, 
##     251, 236, 250, 243, 238, 246, 239, 238, 243, 232, 228, 232, 
##     227, 230, 221, 231, 235, 246, 255, 275, 279, 295, 318, 318, 
##     323, 323, 331, 343, 338, 336, 341, 329, 336, 334, 335, 329, 
##     325, 332, 324, 321, 325, 316, 323, 326, 321, 310, 307, 299, 
##     291, 266, 262, 260, 259, 260, 253, 248, 237, 239, 229, 223, 
##     229, 225, 226, 225, 227, 240, 244, 252, 258, 261, 257, 266, 
##     266, 266, 272, 277, 272, 270, 270, 273, 269, 271, 271, 272, 
##     270, 257, 260, 266, 262, 268, 260, 267, 259, 262, 260, 264, 
##     259, 259, 258, 252, 251, 251, 250, 248, 251, 253, 241, 244, 
##     238, 241, 239, 240, 251, 256, 253, 240, 227, 223, 229, 227, 
##     230, 237, 231, 231, 210, 216, 219, 225, 222, 232, 222, 235, 
##     242, 245, 257, 256, 251, 269, 257, 262, 263, 262, 263, 265, 
##     265, 259, 259, 261, 261, 254, 250, 255, 257, 261, 254, 255, 
##     254, 262, 252, 251, 261, 250, 257, 257, 260, 250, 254, 253, 
##     250, 242, 234, 243, 244, 240, 239, 235, 232, 230, 233, 234, 
##     238, 238, 240, 238, 237, 229, 229, 232, 235, 236, 235, 238, 
##     233, 238, 245, 255, 252, 265, 270, 283, 285, 288, 286, 291, 
##     295, 287, 287, 291, 294, 300, 301, 294, 286, 278, 274, 271, 
##     260, 260, 273, 264, 262, 264, 268, 259, 253, 263, 261, 241, 
##     236, 239, 233, 231, 241, 244, 249, 245, 250, 232, 239, 236, 
##     246, 237, 233, 237, 239, 241, 236, 235, 237, 233, 244, 247, 
##     247, 223, 228, 224, 227, 228, 219, 228, 228, 237, 228, 226, 
##     227, 222, 205, 220, 221, 228, 223, 228, 227, 233, 238, 237, 
##     229, 228, 231, 233, 233, 245, 258, 263, 269, 288, 287, 288, 
##     295, 294, 234, 244, 241, 247, 254, 249, 256, 260, 255, 252, 
##     259, 247, 253, 248, 248, 248, 248, 244, 244, 244, 244, 241, 
##     247, 238, 245, 238, 243, 236, 234, 433, 418, 369, 354, 304, 
##     312, 298, 286, 252, 237, 233, 215, 203, 203, 195, 192, 182, 
##     180, 182, 181, 181, 195, 195, 227, 223, 225, 226, 214, 208, 
##     214, 210, 206, 203, 206, 216, 220, 265, 321, 377, 440, 449, 
##     468, 491, 521, 534, 253, 243, 252, 247, 240, 237, 244, 238, 
##     236, 224, 230, 228, 232, 235, 227, 237, 230, 234, 233, 457, 
##     440, 436, 429, 426, 431, 420, 420, 416, 410, 410, 405, 410, 
##     406, 397, 402, 390, 398, 394, 395, 391, 386, 397, 393, 391, 
##     395, 387, 387, 393, 393, 393, 394, 389, 397, 393, 403, 400, 
##     399, 394, 396, 395, 396, 406, 391, 399, 396, 403, 408, 402, 
##     399, 405, 402, 406, 404, 408, 403, 403, 407, 408, 410, 412, 
##     407, 410, 413, 416, 412, 420, 415, 418, 423, 421, 430, 426, 
##     432, 423, 429, 436, 427, 431, 420, 418, 420, 422, 421, 423, 
##     418, 420, 425, 419, 412, 416, 422, 415, 425, 420, 421, 415, 
##     419, 419, 421, 417, 416, 418, 421, 424, 426, 420, 409, 417, 
##     416, 411, 417, 415, 418, 417, 418, 423, 418, 415, 415, 416, 
##     414, 407, 408, 416, 418, 413, 405, 406, 410, 410, 407, 416, 
##     420, 419, 420, 426, 422, 413, 425, 420, 409, 420, 424, 420, 
##     420, 416, 420, 422, 422, 422, 421, 416, 414, 416, 411, 422, 
##     415, 422, 421, 424, 415, 422, 420, 425, 422, 415, 419, 412, 
##     411, 413, 411, 414, 409, 419, 408, 407, 419, 414, 407, 405, 
##     409, 406, 407, 405, 398, 402, 410, 407, 419, 408, 416, 415, 
##     418, 415, 412, 416, 420, 409, 411, 412, 411, 408, 404, 412, 
##     407, 409, 415, 419, 417, 404, 410, 415, 405, 408, 409, 409, 
##     415, 416, 414, 423, 420, 426, 439, 430, 435, 431, 426, 424, 
##     429, 423, 423, 422, 424, 423, 420, 417, 418, 414, 416, 415, 
##     419, 415, 419, 407, 414, 412, 411, 413, 412, 411, 408, 417, 
##     416, 410, 413, 411, 409, 403, 409, 407, 401, 408, 406, 410, 
##     408, 411, 410, 401, 411, 404, 409, 393, 400, 396, 399, 395, 
##     396, 398, 408, 402, 408, 405, 420, 422, 418, 422, 418, 419, 
##     420, 417, 419, 415, 420, 411, 425, 421, 423, 415, 414, 411, 
##     414, 420, 416, 418, 418, 419, 411, 412, 415, 418, 411, 412, 
##     413, 418, 415, 408, 411, 415, 413, 419, 411, 406, 415, 407, 
##     412, 407, 408, 409, 412, 410, 408, 414, 409, 408, 406, 409, 
##     406, 411, 405, 404, 401, 406, 409, 411, 415, 420, 424, 429, 
##     430, 407, 408, 410, 406, 410, 403, 411, 410, 417, 409, 408, 
##     409, 415, 410, 405, 411, 401, 403, 401, 402, 402, 402, 402, 
##     402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 402, 424, 429, 423, 418, 423, 410, 413, 415, 419, 
##     411, 411, 422, 420, 417, 423, 413, 414, 411, 415, 414, 412, 
##     415, 418, 410, 408, 405, 401, 409, 412, 413, 407, 404, 409, 
##     403, 407, 403, 399, 404, 400, 399, 402, 403, 408, 408, 409, 
##     404, 405, 400, 405, 409, 403, 405, 402, 403, 408, 411, 404, 
##     409, 406, 408, 410, 410, 413, 415, 418, 399, 399, 396, 403, 
##     401, 401, 404, 401, 397, 399, 393, 399, 396, 397, 393, 393, 
##     396, 391, 396, 397, 390, 393, 390, 391, 394, 389, 246, 241, 
##     247, 251, 273, 272, 272, 279, 277, 267, 270, 270, 271, 267, 
##     276, 279, 271, 273, 275, 272, 271, 361, 334, 340, 320, 297, 
##     275, 261, 259, 266, 290, 289, 289, 309, 342, 395, 436, 476, 
##     485, 521, 534, 274, 267, 270, 263, 263, 262, 260, 252, 256, 
##     252, 258, 263, 276, 275, 281, 287, 294, 303, 302, 298, 160, 
##     143, 132, 128, 125, 127, 125, 132, 128, 127, 134, 135, 138, 
##     144, 140, 150, 159, 159, 249, 249, 249, 249, 249, 249, 249, 
##     249, 245, 245, 238, 230, 227, 227, 227, 223, 213, 212, 213, 
##     205, 195, 195, 194, 192, 189, 176, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 
##     -510, -501, -510, -508, -513, -510, -516, -521, -521, -505, 
##     -504, -504, -497, -503, -512, -507, -507, -507, -516, -514, 
##     -512, -489, -494, -490, -502, -503, -506, -515, -520, -525, 
##     -531, -537, -550, -532, -527, -530, -527, -519, -517, -521, 
##     -518, -519, -515, -516, -515, -521, -518, -515, -510, -506, 
##     -506, -503, -519, -516, -532, -526, -531, -530, -531, -535, 
##     -529, -535, -534, -528, -541, -547, -543, -534, -532, -524, 
##     -523, -519, -521, -532, -527, -541, -535, -538, -530, -544, 
##     -537, -549, -551, -545, -547, -542, -540, -533, -542, -532, 
##     -539, -538, -533, -518, -515, -504, -502, -499, -496, -496, 
##     -504, -499, -504, -508, -503, -505, -510, -500, -508, -499, 
##     -514, -516, -524, -531, -526, -535, -535, 175, 191, 234, 
##     249, 247, 245, 247, 246, 251, 239, 244, 243, 245, 243, 242, 
##     249, 231, 233, 231, 225, 221, 229, 222, 219, 221, 221, 215, 
##     216, 205, 207, 246, 239, 233, 232, 232, 229, 226, 225, 216, 
##     207, 198, 201, 189, 180, 177, 170, 155, 155, 172, 162, 160, 
##     160, 364, 371, 367, 365, 373, 369, 378, 370, 365, 370, 373, 
##     372, 374, 372, 375, 382, 380, 389, 393, 393, 397, 397, 392, 
##     380, 378, 379, 383, 382, 385, 386, 375, 378, 376, 377, 374, 
##     363, 359, 359, 349, 347, 348, 330, 335, 342, 338, 339, 351, 
##     356, 355, 356, 364, 363, 375, 368, 383, 375, 365, 379, 376, 
##     382, 385, 397, 396, 396, 386, 383, 383, 382, 377, 376, 374, 
##     379, 343, 342, 355, 358, 362, 361, 367, 396, 402, 399, 397, 
##     390, 394, 375, 360, 364, 359, 358, 357, 353, 345, 343, 337, 
##     331, 325, 327, 318, 318, 320, 315, 317, 320, 319, 323, 324, 
##     319, 312, 309, 310, 312, 310, 307, 304, 300, 303, 300, 296, 
##     304, 303, 302, 311, 305, 311, 307, 308, 306, 307, 303, 293, 
##     297, 304, 295, 290, 296, 294, 290, 287, 293, 294, 289, 280, 
##     281, 280, 277, -498, -503, -509, -506, -505, -506, -510, 
##     -513, -518, -511, -510, -511, -513, -513, -510, -516, -522, 
##     -508, -512, -510, -510, -506, -516, -512, -506, -496, -512, 
##     -489, -489, -495, -488, -498, -493, -505, -505, -505, -503, 
##     -509, -494, -498, -501, -499, -499, -497, -499, -500, -493, 
##     -493, -492, -492, -496, -491, -500, -511, -507, -505, -512, 
##     -507, -504, -511, -512, -506, -516, -521, -520, -523, -521, 
##     -532, -534, -532, -520, -518, -517, -503, -503, -515, -501, 
##     -506, -506, -508, -507, -499, -501, -495, -498, -496, -499, 
##     -504, -500, -502, -513, -514, -511, -522, -522, -531, -537, 
##     -537, -541, -533, -533, -520, -516, -514, -519, -527, -524, 
##     -522, -514, -516, -512, -513, -508, -516, -518, -515, -517, 
##     -512, -522, -516, -514, -504, -516, -519, -521, -523, -532, 
##     -528, -533, -522, -525, -518, -515, -565, -547, -544, -538, 
##     -534, -537, -540, -535, -520, -501, -496, -489, -482, -475, 
##     -485, -474, -483, -483, -487, -483, -487, -488, -492, -491, 
##     -494, -499, -502, -500, -499, -509, -516, -516, -523, -525, 
##     -528, -537, -534, -554, -567, -579, -572, -559, -558, -551, 
##     -562, -552, -550, -549, -547, -541, -539, -543, -547, -541, 
##     -537, -532, -526, -531, -531, -532, -529, -534, -528, -529, 
##     -528, -523, -521, -521, -521, -520, -525, -529, -541, -523, 
##     -529, -526, -537, -535, -538, -535, -541, -538, -537, -536, 
##     -537, -541, -540, -534, -545, -548, -553, -556, -558, -562, 
##     -579, -582, -584, -602, -609, -615, -613, -616, -599, -603, 
##     -602, -591, -595, -582, -584, -579, -581, -586, -577, -585, 
##     -582, -583, -570, -575, -574, -574, -578, -576, -573, -571, 
##     -559, -555, -553, -558, -549, -549, -555, -548, -549, -604, 
##     -594, -595, -593, -599, -596, -598, -599, -602, -605, -597, 
##     -597, -599, -599, -591, -581, -567, -556, -567, -559, -563, 
##     -563, -567, -563, -559, -558, -566, -564, -566, -569, -568, 
##     -563, -588, -584, -585, -590, -595, -605, -600, -629, -628, 
##     -633, -645, -639, -633, -638, -629, -624, -622, -611, -615, 
##     -608, -601, -601, -614, -599, -602, -601, -600, -602, -601, 
##     -604, -595, -590, -586, -575, -566, -570, -567, -565, -567, 
##     -566, -574, -569, -570, -566, -565, -568, -568, -567, -560, 
##     -560, -572, -585, -601, -612, -606, -619, -615, -618, -606, 
##     -601, -601, -594, -596, -589, -588, -586, -586, -590, -596, 
##     -596, -585, -585, -581, -579, -581, -569, -573, -573, -571, 
##     -567, -572, -568, -569, -571, 503, 511, 505, 509, 510, 508, 
##     505, 504, 499, 491, 494, 492, 489, 491, 486, 498, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 500, 502, 498, 497, 502, 505, 512, 
##     514, 520, 518, 521, 519, 525, 522, 519, 505, 499, 502, 492, 
##     488, 487, 484, 483, 480, 485, 482, 485, 498, 484, 484, 482, 
##     483, 475, 479, 481, 478, 465, 455, 459, 463, 460, 469, 466, 
##     466, 474, 473, 477, 488, 481, 477, 484, 501, 507, 509, 507, 
##     509, 504, 511, 506, 526, 525, 526, 520, 517, 525, 536, 535, 
##     533, 538, 532, 534, 532, 527, 523, 522, 518, 513, 517, 505, 
##     511, 509, 515, 512, 505, 507, 503, 502, 504, 508, 499, 507, 
##     500, 500, 502, 497, 497, 496, 486, 471, 477, 473, 474, 478, 
##     476, 474, 479, 480, 499, 507, 504, 503, 504, 498, 503, 507, 
##     507, 519, 518, 536, 534, 532, 537, 538, 537, 534, 539, 536, 
##     529, 517, 519, 529, 518, 521, 519, 478, 483, 494, 486, 497, 
##     499, 509, 508, 514, 519, 520, 520, 525, 530, 529, 535, 536, 
##     535, 540, 539, 544, 554, 559, 557, 561, 550, 551, 540, 543, 
##     540, 531, 528, 530, 528, 530, 528, 525, 526, 520, 521, 514, 
##     518, 512, 523, 517, 518, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 229, 229, 229, 229, 
##     229, 229, 229, 229, 229, 229, 229, 229, 229, 229, 232, 223, 
##     209, 210, 200, 181, 182, 173, 170, 171, 168, 165, 168, 166, 
##     169, 160, 170, 158, 161, 148, 136, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 146, 127, 117, 104, 102, 104, 106, 
##     118, 121, 152, 157, 164, 201, 209, 259, 273, 286, 295, 301, 
##     313, 314, 316, 318, 328, 326, 333, 333, 332, 329, 326, 324, 
##     316, 319, 309, 302, 292, 286, 282, 277, 268, 257, 247, 234, 
##     229, 217, 217, 217, 179, 177, 173, 168, 183, 179, 172, 166, 
##     161, 152, 138, 120, 113, 112, 102, 100, 109, 130, 143, 146, 
##     161, 172, 182, 179, 203, 207, 233, 244, 254, 264, 279, 306, 
##     316, 334, 353, 352, 353, 355, 352, 354, 352, 337, 327, 313, 
##     298, 302, 294, 289, 294, 290, 291, 286, 259, 215, 214, 199, 
##     191, 166, 153, 151, 152, 146, 145, 128, 127, 123, 135, 137, 
##     128, 130, 138, 148, 159, 157, 163, 168, 174, 170, 180, 207, 
##     238, 240, 254, 264, 275, 282, 301, 299, 306, 318, 339, 342, 
##     330, 340, 334, 333, 328, 313, 295, 302, 291, 292, 288, 278, 
##     269, 265, 265, 265, 265, 246, 239, 239, 215, 215, 215, 215, 
##     201, 201, 201, 194, 192, 170, 166, 158, 157, 158, 147, 138, 
##     109, 119, 127, 137, 137, 154, 152, 168, 182, 203, 213, 252, 
##     296, 308, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 
##     318, 318, 318, 318, 318, 318, 318, 318, 318, 318, 122, 120, 
##     128, 130, 131, 131, 128, 128, 128, 125, 132, 126, 125, 125, 
##     121, 132, 132, 119, 128, 131, 198, 199, 187, 179, 176, 178, 
##     153, 156, 153, 160, 210, 235, 239, 264, 299, 315, 327, 334, 
##     342, 343, 341, 334, 322, 318, 317, 319, 318, 325, 325, 327, 
##     332, 325, 332, 331, 338, 339, 331, 330, 300, 307, 303, 295, 
##     294, 296, 295, 297, 295, 294, 295, 302, 292, 298, 302, 292, 
##     297, 305, 311, 329, 336, 344, 357, 350, 355, 343, 333, 337, 
##     327, 333, 331, 320, 335, 328, 328, 328, 329, 334, 342, 341, 
##     332, 326, 341, 337, 328, 328, 325, 323, 313, 312, 314, 308, 
##     301, 296, 297, 301, 300, 305, 303, 301, 305, 307, 304, 303, 
##     304, 304, 298, 306, 303, 305, 313, 316, 324, 334, 330, 342, 
##     346, 347, 347, 360, 354, 349, 344, 332, 341, 335, 329, 336, 
##     332, 328, 335, 334, 330, 336, 331, 329, 323, 313, 309, 306, 
##     291, 288, 283, 290, 287, 283, 291, 294, 291, 291, 293, 294, 
##     296, 309, 304, 309, 323, 364, 372, 372, 372, 369, 362, 364, 
##     351, 342, 341, 343, 338, 347, 341, 342, 338, 333, 331, 324, 
##     326, 318, 321, 295, 266, 275, 269, 264, 267, 274, 275, 280, 
##     281, 289, 306, 341, 361, 367, 362, 368, 367, 361, 359, 348, 
##     343, 348, 343, 345, 349, 344, 343, 345, 340, 348, 354, 345, 
##     343, 343, 342, 335, 330, 321, 320, 318, 312, 309, 310, 308, 
##     298, 305, 313, 324, 332, 331, 329, 342, 351, 367, 361, 352, 
##     362, 352, 348, 343, 340, 334, 335, 330, 334, 331, 331, 330, 
##     334, 335, 337, 348, 350, 364, 372, 391, 386, 392, 403, 400, 
##     402, 412, 413, 411, 408, 406, 405, 406, 398, 394, 395, 392, 
##     384, 395, 393, 394, 391, 391, 389, 394, 398, 386, 392, 384, 
##     369, 365, 362, 368, 253, 249, 254, 247, 244, 250, 245, 252, 
##     245, 252, 245, 245, 242, 247, 245, 239, 232, 237, 228, 228, 
##     244, 244, 247, 261, 266, 281, 285, 314, 313, 307, 303, 304, 
##     296, 298, 304, 298, 302, 291, 296, 295, 293, 291, 296, 294, 
##     297, 298, 300, 297, 297, 296, 302, 291, 296, 305, 287, 298, 
##     293, 301, 292, 288, 282, 278, 275, 277, 298, 303, 305, 309, 
##     308, 299, 304, 300, 306, 308, 306, 305, 312, 308, 302, 296, 
##     304, 302, 297, 298, 301, 298, 302, 311, 340, 342, 372, 368, 
##     400, 404, 417, 430, 451, 445, 398, 392, 406, 410, 411, 410, 
##     415, 419, 424, 429, 429, 411, 404, 390, 388, 380, 379, 379, 
##     383, 373, 376, 368, 364, 354, 359, 351, 337, 430, 425, 418, 
##     415, 399, 393, 394, 396, 389, 386, 380, 380, 373, 367, 354, 
##     355, 345, 346, 348, 349, 348, 351, 355, 350, 356, 358, 363, 
##     367, 376, 400, 409, 412, 420, 415, 423, 422, 433, 422, 416, 
##     414, 410, 397, 393, 386, 379, 371, 380, 368, 367, 362, 358, 
##     352, 344, 338, 339, 339, 340, 348, 344, 348, 353, 356, 360, 
##     357, 379, 384, 392, 405, 406, 427, 441, 439, 432, 431, 427, 
##     418, 409, 408, 407, 405, 391, 394, 379, 383, 372, 366, 360, 
##     356, 357, 354, 347, 344, 345, 356, 357, 371, 374, 379, 390, 
##     396, 398, 399, 417, 438, 456, 457, 464, 454, 450, 418, 417, 
##     408, 395, 390, 382, 386, 385, 379, 383, 383, 374, 376, 364, 
##     345, 347, 345, 353, 360, 365, 383, 379, 427, 449, 451, 470, 
##     466, 485, 486, 491, 487, 489, 487, 479, 470, 424, 416, 404, 
##     407, 402, 399, 391, 419, 420, 418, 416, 410, 404, 402, 399, 
##     391, 393, 395, 393, 395, 384, 383, 380, 377, 376, 378, 366, 
##     371, 359, 357, 360, 358, 357, 362, 352, 356, 364, 368, 377, 
##     410, 424, 436, 434, 436, 441, 445, 450, 454, 426, 428, 419, 
##     415, 392, 393, 388, 384, 377, 379, 385, 371, 373, 368, 367, 
##     355, 357, 355, 353, 352, 361, 373, 371, 380, 389, 403, 418, 
##     429, 439, 431, 437, 436, 442, 431, 434, 416, 414, 414, 407, 
##     403, 399, 387, 377, 378, 361, 368, 361, 357, 345, 340, 341, 
##     339, 348, 346, 348, 351, 347, 350, 358, 354, 351, 345, 342, 
##     343, 345, 344, 344, 334, 340, 340, 340, 341, 340, 330, 338, 
##     334, 345, 342, 338, 344, 347, 341, 343, 337, 337, 345, 340, 
##     345, 349, 351, 345, 343, 340, 339, 338, 341, 337, 340, 340, 
##     339, 339, 332, 335, 332, 340, 344, 337, 341, 334, 335, 342, 
##     336, 238, 230, 248, 244, 247, 247, 248, 260, 261, 266, 273, 
##     270, 268, 273, 280, 279, 287, 276, 286, 284, 248, 260, 255, 
##     250, 258, 249, 236, 233, 229, 229, 234, 245, 248, 262, 281, 
##     282, 285, 293, 305, 301, 310, 308, 315, 311, 308, 304, 296, 
##     284, 283, 276, 271, 273, 262, 261, 258, 258, 263, 260, 260, 
##     262, 259, 257, 255, 259, 258, 246, 248, 251, 250, 255, 247, 
##     242, 245, 231, 240, 243, 244, 239, 236, 234, 237, 226, 237, 
##     230, 234, 180, 186, 207, 213, 229, 239, 241, 246, 254, 255, 
##     250, 258, 259, 256, 258, 252, 256, 257, 251, 259, 313, 320, 
##     326, 339, 354, 345, 361, 361, 374, 381, 379, 380, 390, 395, 
##     404, 424, 413, 421, 414, 412, 378, 355, 353, 330, 327, 329, 
##     338, 342, 345, 350, 356, 363, 366, 361, 373, 383, 378, 386, 
##     386, 394, 399, 393, 399, 409, 405, 404, 406, 409, 415, 408, 
##     404, 407, 402, 404, 395, 387, 389, 378, 362, 374, 362, 346, 
##     338, 343, 335, 331, 325, 314, 313, 313, 309, 385, 384, 389, 
##     381, 379, 387, 383, 377, 377, 380, 369, 368, 359, 351, 341, 
##     330, 323, 325, 322, 326, 322, 315, 312, 313, 310, 298, 310, 
##     304, 304, 305, 306, 308, 304, 307, 303, 307, 310, 312, 312, 
##     317, 320, 320, 319, 327, 323, 323, 321, 323, 328, 334, 341, 
##     346, 361, 363, 362, 361, 361, 362, 366, 364, 369, 364, 370, 
##     374, 368, 367, 367, 359, 352, 344, 337, 345, 344, 345, 333, 
##     326, 321, 324, 308, 309, 301, 300, 298, 297, 295, 298, 291, 
##     294, 298, 298, 304, 297, 299, 297, 295, 298, 304, 307, 313, 
##     318, 328, 336, 355, 362, 367, 367, 383, 379, 390, 394, 406, 
##     402, 396, 399, 396, 403, 399, 393, 384, 389, 381, 387, 376, 
##     360, 355, 343, 345, 326, 311, 298, 298, 293, 292, 296, 294, 
##     290, 291, 292, 286, 296, 295, 294, 297, 295, 296, 294, 298, 
##     300, 307, 381, 378, 357, 349, 350, 348, 347, 333, 332, 324, 
##     321, 305, 305, 307, 290, 290, 307, 314, 318, 326, 337, 352, 
##     350, 362, 362, 367, 382, 391, 390, 397, 406, 409, 417, 407, 
##     411, 417, 411, 405, 406, 399, 399, 389, 307, 304, 307, 306, 
##     308, 303, 312, 309, 315, 318, 325, 326, 331, 335, 353, 351, 
##     361, 363, 375, 372, 351, 341, 339, 337, 329, 326, 322, 322, 
##     314, 311, 309, 318, 311, 309, 312, 311, 315, 319, 311, 318, 
##     312, 316, 312, 249, 255, 251, 242, 243, 246, 247, 251, 239, 
##     240, 239, 240, 239, 242, 244, 242, 241, 243, 239, 245, 253, 
##     257, 253, 258, 271, 281, 295, 287, 213, 214, 219, 216, 222, 
##     199, 164, 132, 129, 117, 121, 125, 124, 123, 131, 154, 161, 
##     171, 324, 320, 322, 325, 327, 319, 323, 324, 327, 326, 327, 
##     321, 320, 319, 323, 320, 322, 253, 252, 252, 257, 248, 244, 
##     248, 249, 245, 252, 251, 250, 259, 262, 262, 255, 255, 259, 
##     260, 253, 258, 253, 257, 251, 280, 288, 279, 285, 282, 280, 
##     271, 280, 277, 277, 275, 271, 269, 263, 268, 256, 261, 256, 
##     402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 402, 
##     402, 402, 392, 392, 390, 393, 389, 385, 386, 382, 396, 395, 
##     395, 397, 395, 403, 399, 406, 394, 403, 394, 403, 390, 396, 
##     389, 390, 386, 384, 380, 376, 373, 375, 366, 356, 356, 342, 
##     346, 357, 363, 377, 426, 416, 433, 438, 441, 438, 428, 435, 
##     435, 435, 435, 435, 431, 431, 429, 433, 434, 434, 439, 436, 
##     438, 438, 438, 452, 462, 461, 467, 475, 485, 482, 487, 492, 
##     489, 491, 486, 479, 483, 479, 479, 475, 475, 475, 475, 475, 
##     475, 468, 468, 467, 467, 467, 465, 465, 475, 475, 475, 469, 
##     469, 469, 469, 469, 469, 469, 467, 468, 467, 461, 460, 461, 
##     467, 455, 455, 457, 457, 466, 457, 465, 472, 477, 470, 473, 
##     470, 475, 469, 468, 470, 459, 459, 462, 459, 466, 460, 460, 
##     460, 460, 457, 460, 452, 457, 461, 455, 461, 461, 448, 449, 
##     445, 442, 447, 445, 447, 454, 448, 457, 457, 452, 461, 463, 
##     468, 468, 469, 469, 475, 480, 480, 480, 480, 480, 480, 479, 
##     495, 500, 500, 500, 514, 514, 511, 506, 506, 497, 499, 492, 
##     480, 478, 474, 475, 466, 467, 473, 474, 465, 476, 476, 476, 
##     476, 476, 476, 476, 476, 476, 475, 475, 475, 475, 475, 475, 
##     484, 484, 484, 489, 483, 488, 488, 488, 488, 488, 480, 494, 
##     494, 494, 490, 494, 494, 498, 501, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 471, 476, 476, 476, 497, 499, 494, 
##     492, 495, 479, 481, 483, 509, 497, 501, 501, 501, 501, 501, 
##     501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 501, 
##     501, 461, 461, 458, 458, 462, 460, 462, 457, 456, 459, 454, 
##     448, 448, 446, 437, 435, 435, 439, 442, 457, 458, 456, 452, 
##     447, 455, 450, 446, 456, 454, 447, 449, 442, 450, 448, 453, 
##     448, 450, 464, 462, 454, 467, 392, 388, 388, 398, 395, 395, 
##     397, 393, 393, 392, 392, 392, 389, 394, 393, 399, 399, 397, 
##     395, 395, 395, 395, 343, 344, 351, 353, 342, 345, 351, 344, 
##     343, 348, 342, 354, 344, 345, 355, 345, 342, 354, 345, 344, 
##     345, 348, 343, 341, 345, 384, 381, 366, 361, 353, 350, 344, 
##     346, 347, 352, 358, 359, 363, 354, 372, 383, 384, 393, 393, 
##     405, 413, 337, 329, 343, 332, 339, 348, 351, 362, 367, 368, 
##     383, 387, 390, 409, 407, 426, 424, 434, 443, 426, 407, 393, 
##     387, 387, 390, 390, 382, 367, 370, 368, 363, 364, 359, 336, 
##     340, 341, 341, 351, 347, 338, 344, 344, 340, 350, 359, 360, 
##     372, 343, 346, 348, 347, 350, 350, 340, 336, 318, 330, 328, 
##     319, 329, 317, 284, 274, 246, 230, 193, 167, 166, 161, 114, 
##     108, 111, 111, 116, 116, 131, 147, 140, 153, 169, 192, 201, 
##     205, 230, 250, 277, 279, 297, 303, 320, 330, 328, 293, 293, 
##     293, 293, 293, 293, 293, 293, 293, 293, 293, 293, 264, 264, 
##     264, 264, 264, 264, 264, 264, 264, 266, 227, 219, 195, 184, 
##     177, 162, 164, 161, 164, 155, 166, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 325, 323, 314, 318, 318, 312, 313, 313, 
##     308, 308, 308, 311, 311, 301, 293, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, -549, -554, 
##     -553, -554, -552, -551, -551, -553, -551, -552, -554, -557, 
##     -557, -566, -569, -574, -583, -583, -586, -589, -590, -601, 
##     -602, -599, -598, -593, -549, -562, -574, -589, -596, -592, 
##     -595, -585, -583, -582, -566, -574, -568, -564, -563, -555, 
##     -561, -546, -542, -533, -528, -530, -525, -515, -506, -502, 
##     -511, -506, -505, -517, -516, -517, -529, -549, -548, -551, 
##     -566, -511, -509, -514, -510, -511, -506, -517, -515, -520, 
##     -524, -518, -516, -522, -514, -517, -517, -513, -516, -515, 
##     -509, -516, -516, -510, -504, 375, 375, 375, 371, 360, 360, 
##     360, 357, 357, 353, 346, 353, 356, 347, 353, 342, 340, 332, 
##     319, 313, 315, 315, 311, 312, 310, 318, 319, 324, 331, 334, 
##     350, 364, 374, 383, 389, 387, 390, 401, 399, 390, 387, 381, 
##     376, 383, 373, 380, 376, 375, 380, 375, 374, 362, 362, 362, 
##     190, 184, 189, 183, 186, 193, 193, 191, 185, 191, 186, 184, 
##     190, 180, 186, 188, 178, 187, 191, 179, 187, 189, 185, 189, 
##     191, 196, 198, 201, 200, 203, 215, 217, 218, 212, 217, 215, 
##     216, 215, 184, 171, 162, 293, 285, 288, 113, 136, 136, 153, 
##     187, 266, 389, 469, 484, 488, 521, 537, 534, 559, 551, 558, 
##     575, 579, 587, 590, 598, 596, 604, 603, 609, 603, 602, 598, 
##     595, 591, 575, 554, 538, 525, 514, 490, 463, 447, 416, 376, 
##     343, 330, 304, 305, 296, 296, 289, 279, 273, 263, 222, 169, 
##     129, 111, 100, 106, 90, 89, 83, 85, 105, 110, 132, 139, 191, 
##     253, 277, 306, 398, 430, 467, 498, 507, 564, 581, 598, 597, 
##     602, 605, 613, 601, 608, 606, 598, 588, 586, 585, 575, 575, 
##     543, 536, 496, 490, 478, 464, 404, 346, 313, 298, 284, 278, 
##     276, 272, 261, 253, 245, 250, 245, 234, 231, 231, 208, 200, 
##     186, 184, 181, 167, 166, 159, 157, 155, 153, 163, 159, 158, 
##     162, 182, 191, 224, 231, 254, 297, 383, 416, 451, 503, 509, 
##     521, 538, 459, 437, 403, 372, 352, 340, 323, 322, 313, 312, 
##     304, 297, 263, 251, 247, 246, 251, 255, 266, 258, 266, 269, 
##     333, 339, 383, 396, 426, 465, 497, 553, 571, 587, 595, 603, 
##     603, 617, 610, 613, 618, 609, 612, 602, 599, 602, 608, 606, 
##     598, 608, 607, 600, 605, 598, 586, 579, 565, 533, 463, 457, 
##     439, 407, 397, 372, 366, 343, 333, 310, 303, 295, 282, 280, 
##     269, 245, 241, 234, 209, 208, 212, 218, 218, 239, 248, 253, 
##     264, 271, 283, 294, 318, 339, 351, 369, 407, 441, 446, 467, 
##     485, 546, 560, 569, 587, 595, 601, 606, 614, 607, 603, 598, 
##     594, 598, 595, 594, 598, 592, 588, 571, 566, 548, 521, 503, 
##     494, 471, 449, 427, 409, 390, 377, 358, 345, 333, 312, 282, 
##     277, 255, 238, 210, 148, 119, 103, 79, 82, 77, 77, 96, 97, 
##     106, 118, 128, 233, 262, 340, 397, 446, 478, 480, 543, 552, 
##     566, 569, 598, 617, 611, 582, 583, 580, 593, 589, 595, 598, 
##     602, 600, 598, 599, 592, 592, 580, 565, 562, 535, 529, 498, 
##     464, 445, 425, 545, 564, 596, 611, 607, 598, 586, 592, 592, 
##     592, 598, 601, 589, 602, 584, 570, 521, 503, 451, 424, 377, 
##     320, 199, 147, 100, 82, 71, 67, 108, 230, 239, 281, 317, 
##     390, 429, 451, 467, 495, 525, 533, 556, 568, 581, 599, 607, 
##     607, 609, 607, 603, 610, 600, 610, 603, 609, 613, 600, 585, 
##     578, 534, 478, 459, 454, 430, 397, 375, 359, 294, 272, 252, 
##     193, 151, 137, 137, 142, 125, 125, 125, 119, 130, 131, 131, 
##     131, 148, 147, 159, 159, 163, 176, 172, 491, 497, 478, 473, 
##     448, 439, 431, 427, 426, 414, 398, 390, 342, 278, 266, 263, 
##     244, 233, 223, 213, 201, 198, 195, 182, 184, 169, 169, 174, 
##     185, 181, 182, 191, 198, 202, 231, 244, 248, 276, 307, 359, 
##     400, 439, 443, 460, 478, 496, 510, 521, 534, 538, 535, 545, 
##     548, 528, 522, 516, 499, 445, 431, 420, 415, 385, 361, 352, 
##     322, 292, 274, 262, 259, 228, 223, 217, 209, 212, 201, 209, 
##     218, 230, 239, 240, 292, 310, 324, 329, 344, 361, 382, 399, 
##     407, 429, 446, 457, 467, 476, 482, 487, 496, 507, 508, 506, 
##     501, 503, 494, 486, 485, 468, 454, 458, 433, 428, 419, 400, 
##     380, 368, 369, 354, 348, 333, 326, 297, 280, 279, 281, 266, 
##     271, 259, 259, 262, 251, 246, 243, 244, 235, 255, 267, 297, 
##     305, 315, 324, 340, 340, 353, 369, 376, 395, 395, 443, 470, 
##     486, 512, 527, 559, 557, 560, 562, 558, 559, 559, 554, 540, 
##     534, 536, 525, 511, 501, 504, 494, 490, 482, 479, 474, 454, 
##     446, 451, 387, 373, 365, 342, 333, 326, 323, 297, 285, 292, 
##     285, 283, 277, 271, 266, 276, 276, 271, 279, 283, 292, 286, 
##     289, 293, 289, 296, 295, 303, 299, 298, 298, 301, 299, 294, 
##     299, 289, 287, 273, 269, 255, 252, 248, 245, 231, 213, 213, 
##     201, 188, 183, 180, 173, 173, 166, 166, 171, 173, 164, 169, 
##     179, 182, 180, 177, 185, 191, 194, 214, 207, 215, 210, 208, 
##     208, 217, 213, 209, 215, -574, -561, -554, -559, -560, -557, 
##     -562, -572, -584, -584, -590, -590, -591, -591, -603, -601, 
##     -600, -604, -602, -604, -599, -589, -589, -582, -585, -571, 
##     -573, -553, -551, -547, -546, -549, -549, -547, -543, -542, 
##     -543, -548, -547, -550, -557, -563, -562, -574, -571, -575, 
##     -589, -597, -593, -596, -597, -598, -590, -592, -585, -590, 
##     -584, -586, -591, -585, -583, -586, -584, -583, -583, -577, 
##     -565, -565, -558, -559, -558, -555, -550, -549, -551, -551, 
##     -552, -555, -555, -557, -558, -559, -554, -555, -566, -568, 
##     -559, -564, -570, -575, -571, -579, -588, -590, -603, -604, 
##     -599, -607, -603, -595, -591, -597, -596, -596, -593, -589, 
##     -591, -583, -569, -561, -553, -552, -544, -546, -539, -536, 
##     -539, -545, -535, -537, -538, -542, -549, -551, -543, -547, 
##     -522, -512, -516, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
##     504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 527, 504, 
##     502, 502, 502, 502, 502, 502, 500, 490, 491, 491, 484, 469, 
##     469, 469, 474, 473, 460, 470, 462, 455, 435, 428, 423, 410, 
##     395, 393, 391, 392, 393, 394, 400, 403, 400, 417, 421, 421, 
##     430, 440, 457, 476, 487, 493, 506, 517, 527, 542, 544, 548, 
##     553, 561, 570, 568, 580, 570, 570, 582, 582, 582, 581, 587, 
##     586, 585, 589, 589, 585, 577, 570, 572, 564, 561, 555, 559, 
##     547, 546, 543, 537, 542, 525, 520, 515, 511, 504, 493, 479, 
##     470, 469, 457, 460, 438, 419, 426, 423, 410, 410, 413, 402, 
##     411, 399, 403, 399, 404, 402, 399, 406, 413, 407, 414, 422, 
##     431, 427, 427, 454, 453, 469, 478, 483, 499, 508, 511, 520, 
##     540, 544, 555, 561, 564, 563, 567, 565, 574, 573, 575, 578, 
##     584, 582, 580, 572, 570, 569, 560, 557, 553, 545, 537, 537, 
##     527, 519, 515, 500, 472, 468, 456, 440, 440, 416, 416, 400, 
##     397, 380, 373, 359, 351, 350, 336, 335, 340, 327, 328, 334, 
##     341, 334, 344, 362, 382, 406, 428, 435, 449, 465, 468, 481, 
##     481, 481, 481, 481, 481, 481, 501, 500, 512, 515, 525, 531, 
##     527, 540, 543, 549, 551, 553, 558, 562, 561, 572, 569, 576, 
##     580, 574, 579, 578, 577, 579, 582, 580, 565, 544, 529, 488, 
##     481, 474, 461, 467, 456, 448, 440, 429, 424, 415, 399, 399, 
##     393, 377, 362, 350, 334, 324, 317, 320, 319, 320, 352, 363, 
##     372, 372, 391, 405, 425, 434, 447, 467, 480, 487, 509, 520, 
##     525, 525, 533, 539, 549, 552, 554, 558, 560, 569, 565, 566, 
##     578, 574, 576, 585, 578, 582, 582, 582, 583, 584, 580, 578, 
##     579, 580, 582, 570, 568, 568, 566, 548, 539, 532, 521, 517, 
##     457, 459, 445, 436, 430, 431, 419, 392, 384, 380, 359, 344, 
##     334, 338, 327, 319, 323, 311, 311, 310, 322, 331, 343, 355, 
##     407, 416, 427, 434, 438, 478, 474, 492, 501, 521, 518, 523, 
##     531, 535, 552, 551, 565, 565, 573, 583, 582, 580, 572, 582, 
##     575, 575, 573, 566, 566, 556, 543, 538, 537, 510, 501, 501, 
##     497, 491, 488, 482, 474, 470, 442, 441, 434, 416, 409, 389, 
##     380, 378, 369, 361, 542, 551, 552, 553, 555, 564, 568, 566, 
##     568, 570, 577, 577, 581, 583, 586, 584, 587, 577, 570, 574, 
##     563, 564, 549, 547, 540, 537, 530, 526, 521, 519, 516, 506, 
##     506, 497, 498, 485, 473, 451, 445, 423, 408, 411, 400, 384, 
##     372, 361, 354, 345, 343, 347, 344, 352, 376, 379, 393, 399, 
##     413, 425, 461, 497, 511, 520, 519, 525, 537, 549, 563, 572, 
##     579, 582, 587, 588, 594, 603, 601, 595, 590, 573, 575, 563, 
##     555, 547, 525, 518, 511, 506, 503, 498, 492, 484, 473, 443, 
##     448, 435, 431, 423, 422, 415, 402, 392, 391, 389, 392, 402, 
##     398, 403, 411, 409, 431, 432, 442, 451, 459, 460, 475, 481, 
##     485, 500, 525, 532, 539, 546, 543, 549, 554, 547, 554, 561, 
##     561, 565, 578, 580, 574, 581, 583, 579, 580, 568, 566, 575, 
##     563, 553, 545, 545, 533, 534, 532, 525, 517, 505, 499, 500, 
##     484, 486, 486, 480, 466, 472, 456, 453, 447, 433, 426, 398, 
##     394, 393, 398, 384, 385, 391, 387, 390, 390, 391, 394, 397, 
##     397, 402, 399, 399, 406, 405, 407, 406, 406, 405, 407, 404, 
##     399, 394, 384, 378, 380, 368, 365, 359, 367, 368, 399, 404, 
##     419, 407, 419, 420, 415, 424, 432, 435, 438, 430, 429, 430, 
##     425, 422, 427, 426, 425, 427, 430, 419, 424, 423, 430, 422, 
##     424, 431, 426, 436, 429, 429, 426, 432, 436, 434, 132, 123, 
##     124, 121, 123, 122, 124, 123, 119, 119, 120, 113, 108, 94, 
##     91, 90, 94, 84, 89, 99, 100, 116, 132, 155, 191, 211, 238, 
##     267, 331, 329, 339, 334, 332, 323, 319, 304, 302, 290, 273, 
##     262, 260, 249, 257, 259, 245, 240, 235, 230, 208, 215, 198, 
##     189, 190, 186, 186, 216, 246, 264, 268, 280, 298, 347, 364, 
##     368, 365, 372, 376, 365, 354, 347, 343, 325, 315, 313, 284, 
##     281, 282, 257, 239, 236, 229, 225, 222, 208, 212, 204, 203, 
##     217, 293, 291, 279, 280, 249, 235, 243, 234, 231, 237, 233, 
##     234, 233, 239, 245, 259, 275, 296, 321, 339, 345, 360, 373, 
##     374, 391, 396, 392, 394, 390, 382, 380, 370, 373, 367, 365, 
##     348, 348, 330, 326, 324, 319, 306, 296, 293, 287, 270, 263, 
##     249, 249, 236, 227, 229, 235, 235, 242, 247, 249, 272, 284, 
##     293, 332, 348, 363, 377, 378, 391, 393, 395, 400, 406, 404, 
##     405, 391, 389, 374, 355, 345, 337, 320, 326, 299, 297, 293, 
##     283, 282, 278, 276, 263, 265, 273, 270, 268, 270, 271, 272, 
##     266, 259, 276, 280, 292, 297, 307, 319, 319, 323, 342, 346, 
##     367, 368, 375, 376, 389, 403, 395, 402, 395, 375, 372, 347, 
##     349, 341, 313, 312, 296, 290, 276, 258, 243, 243, 241, 244, 
##     236, 230, 234, 235, 237, 236, 244, 250, 253, 283, 292, 312, 
##     339, 340, 368, 371, 395, 399, 415, 406, 414, 406, 395, 388, 
##     387, 367, 361, 351, 340, 333, 324, 326, 313, 298, 295, 294, 
##     278, 268, 256, 254, 244, 252, 244, 252, 254, 259, 290, 295, 
##     306, 312, 308, 327, 332, 370, 412, 411, 320, 313, 334, 327, 
##     338, 350, 358, 385, 389, 392, 395, 405, 411, 407, 405, 400, 
##     398, 386, 371, 370, 348, 343, 344, 339, 327, 327, 319, 309, 
##     315, 299, 294, 283, 272, 271, 263, 265, 262, 252, 261, 259, 
##     266, 279, 283, 287, 299, 295, 305, 321, 328, 342, 352, 352, 
##     355, 366, 374, 378, 399, 399, 405, 412, 411, 403, 397, 375, 
##     372, 345, 342, 341, 341, 334, 334, 331, 323, 318, 319, 308, 
##     294, 306, 285, 284, 282, 277, 275, 264, 265, 251, 241, 235, 
##     235, 235, 232, 232, 232, 232, 230, 230, 230, 230, 231, 217, 
##     213, 213, 213, 213, 213, 202, 199, 199, 199, 199, 199, 199, 
##     199, 199, 199, 199, 191, 194, 195, 184, 182, 182, 183, 187, 
##     191, 186, 186, 184, 195, 190, 191, 191, 183, 183, 182, 183, 
##     191, 185, 186, 190, 186, 186, 189, 187, 186, 184, 185, 186, 
##     186, 185, 189, 189, 189, 189, 336, 333, 333, 336, 333, 334, 
##     328, 338, 338, 340, 329, 320, 318, 319, 317, 317, 308, 310, 
##     314, 313, 311, 313, 311, 311, 313, 319, 325, 334, 338, 343, 
##     355, 347, 329, 311, 320, 309, 304, 294, 296, 316, 312, 305, 
##     304, 305, 301, 310, 300, 300, 306, 308, 303, 308, 304, 305, 
##     307, 300, 301, 302, 301, 302, 304, 303, 307, 303, 307, 308, 
##     307, 314, 304, 309, 313, 311, 311, 312, 311, 314, 317, 313, 
##     313, 312, 310, 323, 317, 312, 312, 311, 310, 314, 317, 310, 
##     314, 309, 300, 307, 306, 309, 311, 303, 303, 304, 313, 314, 
##     315, 319, 324, 311, 304, 307, 302, 298, 292, 278, 276, 264, 
##     266, 262, 259, 253, 253, 248, 245, 229, 215, 219, 211, 226, 
##     214, 224, 224, 228, 230, 230, 220, 238, 232, 227, 232, 229, 
##     231, 226, 222, 219, 220, 217, 216, 225, 258, 293, 327, 460, 
##     482, 494, 517, 528, 532, 539, 542, 545, 540, 546, 542, 482, 
##     475, 447, 399, 379, 297, 287, 282, 267, 235, 219, 206, 204, 
##     202, 227, 231, 233, 271, 280, 355, 364, 399, 483, 484, 522, 
##     519, 519, 517, 506, 489, 491, 476, 467, 421, 368, 369, 346, 
##     327, 313, 295, 269, 257, 253, 233, 264, 272, 339, 344, 363, 
##     368, 425, 440, 466, 485, 502, 504, 503, 515, 515, 512, 512, 
##     521, 519, 514, 502, 495, 490, 480, 451, 449, 431, 418, 395, 
##     386, 353, 344, 314, 298, 293, 301, 301, 293, 291, 277, 267, 
##     263, 256, 251, 250, 251, 276, 324, 329, 344, 381, 383, 397, 
##     439, 468, 495, 502, 508, 522, 519, 516, 511, 503, 508, 502, 
##     494, 471, 456, 441, 428, 414, 404, 396, 386, 380, 374, 347, 
##     344, 317, 311, 295, 261, 273, 277, 283, 298, 320, 333, 344, 
##     370, 375, 400, 446, 497, 508, 511, 510, 516, 517, 502, 507, 
##     394, 457, 467, 471, 468, 470, 469, 469, 474, 446, 447, 445, 
##     435, 420, 418, 404, 386, 385, 363, 337, 313, 275, 270, 266, 
##     271, 284, 306, 305, 341, 431, 437, 466, 471, 487, 491, 488, 
##     488, 492, 383, 419, 414, 438, 486, 483, 471, 457, 453, 442, 
##     421, 418, 395, 364, 331, 521, 525, 497, 458, 451, 444, 432, 
##     438, 430, 405, 394, 375, 373, 360, 366, 351, 344, 347, 332, 
##     324, 322, 301, 264, 256, 248, 255, 276, 311, 319, 329, 491, 
##     522, 526, 531, 526, 523, 517, 509, 481, 471, 460, 430, 424, 
##     405, 293, 285, 285, 293, 292, 288, 284, 278, 280, 282, 282, 
##     293, 287, 322, 325, 345, 350, 362, 369, 367, 387, 380, 381, 
##     384, 388, 391, 400, 394, 406, 399, 399, 401, 401, 404, 398, 
##     410, 397, 392, 392, 391, 381, 361, 360, 355, 359, 357, 345, 
##     336, 333, 322, 326, 322, 317, 311, 308, 307, 306, 309, 303, 
##     299, 294, 297, 287, 281, 279, 284, 284, 287, 279, 287, 282, 
##     283, 277, 282, 283, 283, 278, 287, 276, 275, 282, 283, 306, 
##     312, 318, 341, 366, 377, 382, 397, 402, 403, 410, 408, 409, 
##     399, 403, 407, 399, 396, 395, 391, 382, 378, 372, 347, 344, 
##     332, 337, 334, 318, 307, 307, 300, 298, 304, 295, 295, 297, 
##     294, 302, 300, 298, 295, 294, 295, 289, 292, 291, 304, 309, 
##     304, 312, 307, 315, 308, 325, 320, 340, 341, 354, 370, 379, 
##     385, 397, 404, 399, 409, 431, 435, 428, 431, 431, 401, 405, 
##     396, 387, 362, 353, 356, 348, 342, 343, 343, 347, 345, 333, 
##     325, 323, 326, 322, 326, 321, 325, 320, 318, 320, 314, 319, 
##     312, 322, 324, 323, 318, 321, 317, 325, 327, 336, 327, 339, 
##     337, 365, 370, 384, 400, 409, 413, 427, 442, 452, 448, 457, 
##     460, 467, 473, 488, 483, 492, 488, 489, 482, 481, 479, 470, 
##     471, 467, 462, 457, 454, 441, 444, 440, 435, 416, 414, 404, 
##     383, 377, 376, 347, 345, 312, 296, 292, 278, 261, 269, 257, 
##     263, 201, 211, 212, 206, 213, 217, 229, 233, 236, 239, 253, 
##     260, 268, 270, 284, 286, 289, 291, 294, 292, 284, 293, 303, 
##     300, 299, 299, 297, 308, 307, 309, 313, 304, 296, 278, 279, 
##     274, 270, 247, 245, 238, 239, 228, 217, 207, 195, 186, 152, 
##     149, 137, 131, 120, 122, 124, 120, 118, 112, 106, 109, 107, 
##     103, 114, 130, 137, 146, 154, 176, 192, 212, 240, 295, 325, 
##     343, 412, 459, 479, 492, 513, 531, 547, 561, 581, 581, 591, 
##     597, 603, 600, 612, 348, 342, 342, 326, 325, 309, 278, 284, 
##     278, 280, 266, 264, 210, 198, 173, 159, 154, 139, 140, 134, 
##     136, 136, 142, 149, 174, 205, 231, 261, 299, 391, 434, 454, 
##     478, 501, 527, 538, 566, 573, 584, 597, 595, 593, 605, 601, 
##     603, 600, 605, 607, 604, 604, 601, 596, 598, 588, 566, 563, 
##     516, 499, 490, 478, 455, 421, 407, 401, 372, 373, 349, 345, 
##     332, 321, 318, 297, 298, 287, 275, 275, 262, 255, 255, 234, 
##     222, 206, 146, 143, 126, 120, 119, 117, 124, 134, 137, 164, 
##     182, 191, 215, 589, 598, 589, 596, 583, 589, 585, 584, 584, 
##     575, 574, 560, 521, 522, 439, 403, 395, 331, 315, 308, 295, 
##     289, 253, 272, 345, 371, 382, 411, 450, 454, 476, 506, 517, 
##     521, 532, 555, 584, 592, 584, 583, 605, 612, 609, 608, 603, 
##     600, 599, 597, 601, 599, 603, 592, 582, 569, 552, 526, 534, 
##     504, 478, 475, 454, 440, 435, 417, 389, 369, 356, 261, 249, 
##     253, 252, 261, 262, 254, 252, 258, 259, 242, 240, 233, 223, 
##     220, 217, 213, 211, 216, 211, -733, -739, -741, -737, -730, 
##     -733, -725, -719, -710, -702, -700, -702, -697, -698, -686, 
##     -668, -650, -643, -630, -606, -600, -550, -515, -495, -482, 
##     -482, -485, -494, -504, -521, -531, -543, -666, -698, -544, 
##     -510, -502, -482, -472, -480, -480, -489, -506, -508, -517, 
##     -526, -541, -560, -558, -581, -597, -626, -637, -658, -678, 
##     -702, -702, -707, -705, -712, -720, -723, -738, -736, -736, 
##     -728, -723, -701, -679, -670, -668, -659, -657, -651, -638, 
##     -624, -616, -621, -599, -589, -582, -558, -552, -545, -529, 
##     -527, -511, -504, -499, -474, -464, -462, -466, -476, -489, 
##     -487, -506, -503, -532, -552, -577, -613, -617, -645, -646, 
##     -658, -666, -693, -699, -697, -706, -718, -711, -716, -716, 
##     -712, -715, -720, -717, -709, -707, -706, -699, -706, -702, 
##     -696, -706, -701, -683, -669, -665, -650, -649, -620, -599, 
##     -734, -723, -731, -735, -728, -723, -714, -721, -716, -716, 
##     -711, -706, -707, -704, -696, -693, -691, -668, -648, -594, 
##     -588, -557, -676, -679, -685, -697, -712, -712, -718, -726, 
##     -721, -716, -696, -686, -691, -680, -682, -671, -680, -678, 
##     -684, -672, -671, -659, -662, -653, -636, -631, -622, -604, 
##     -594, -482, -472, -463, -458, -459, -460, -462, -488, -485, 
##     -503, -513, -518, -532, -555, -585, -597, -625, -494, -484, 
##     -504, -526, -561, -571, -595, -601, -619, -657, -679, -704, 
##     -716, -710, -709, -709, -707, -712, -708, -701, -693, -680, 
##     -686, -675, -669, -661, -671, -676, -670, -652, -610, -584, 
##     -582, -550, -544, -523, -503, -481, -443, -439, 382, 380, 
##     352, 336, 332, 308, 299, 281, 255, 237, 234, 231, 226, 223, 
##     232, 235, 239, 244, 261, 267, 271, 274, 273, 276, 281, 291, 
##     283, 292, 288, 287, 291, 291, 294, 295, 293, 290, 288, 283, 
##     295, 292, 296, 291, 291, 287, 287, 292, 293, 295, 290, 291, 
##     353, 345, 337, 336, 343, 343, 340, 342, 349, 349, 363, 391, 
##     416, 420, 425, 434, 449, 482, 519, 529, 534, 310, 304, 290, 
##     280, 264, 268, 241, 248, 249, 254, 274, 280, 281, 292, 305, 
##     322, 386, 402, 455, 467, 469, 491, 501, 513, 523, 482, 490, 
##     495, 495, 484, 479, 479, 463, 440, 425, 419, 407, 405, 393, 
##     396, 374, 350, 330, 310, 305, 300, 277, 280, 286, 307, 309, 
##     503, 491, 482, 451, 444, 432, 410, 395, 387, 376, 365, 365, 
##     356, 347, 335, 333, 319, 311, 313, 286, 281, 302, 319, 330, 
##     352, 363, 297, 296, 297, 296, 294, 300, 309, 308, 308, 311, 
##     313, 313, 312, 308, 303, 308, 308, 312, 311, 306, 304, 303, 
##     316, 306, 308, 310, 303, 297, 296, 189, 178, 184, 191, 186, 
##     183, 182, 184, 183, 180, 185, 180, 180, 180, 180, 180, 180, 
##     180, 180, 191, 191, 191, 409, 402, 383, 371, 334, 340, 337, 
##     309, 308, 302, 303, 301, 285, 287, 282, 281, 285, 281, 289, 
##     288, 291, 292, 294, 298, 230, 243, 254, 266, 268, 271, 293, 
##     301, 320, 324, 341, 354, 363, 364, 370, 374, 375, 385, 385, 
##     377, 380, 351, 350, 316, 308, 302, -649, -658, -670, -699, 
##     -695, -711, -705, -696, -692, -687, -686, -687, -693, -692, 
##     -675, -676, -670, -659, -661, -647, -626, -631, -621, -599, 
##     -582, -571, -555, -536, -517, -499, -548, -511, -490, -484, 
##     -472, -467, -449, -450, -452, -458, -464, -471, -475, -517, 
##     -517, -544, -553, -573, -576, -626, -640, -660, -665, -586, 
##     -568, -554, -540, -521, -512, -518, -514, -527, -532, -536, 
##     -549, -572, -639, -680, -678, -724, -726, -725, -729, -736, 
##     -730, -705, -705, -711, -718, -725, -724, -729, -734, -739, 
##     -734, -742, -740, -728, -727, -711, -695, -692, -682, -684, 
##     -680, -682, -665, -658, -645, -643, -609, -495, -482, -467, 
##     -471, -465, -455, -450, -445, -442, -452, -464, -484, -496, 
##     -518, -518, -543, -570, -641, -650, -686, -716, -717, -726, 
##     -737, 217, 215, 225, 230, 239, 249, 254, 254, 273, 296, 344, 
##     359, 420, 460, 469, 479, 488, 498, 498, 512, 527, 526, 523, 
##     519, 500, 512, 510, 498, 493, 479, 484, 475, 474, 460, 443, 
##     451, 435, 429, 426, 409, 411, 370, 348, 315, 303, 287, 262, 
##     257, 245, 239, 216, 214, 318, 372, 417, 528, 545, 559, 571, 
##     572, 574, 576, 572, 568, 562, 557, 567, 557, 547, 546, 535, 
##     523, 405, 357, 341, 336, 304, 298, 287, 277, 248, 243, 170, 
##     165, 162, 164, 161, 177, 189, 200, 204, 214, 242, 255, 284, 
##     309, 374, 440, 453, 497, 502, 583, 591, 596, 601, 590, 589, 
##     589, 583, 553, 540, 535, 523, 257, 241, 240, 232, 220, 211, 
##     210, 165, 127, 134, 116, 113, 116, 119), magnet_dumbbell_z = c(-65, 
##     -64, -63, -60, -68, -66, -70, -74, -65, -69, -64, -65, -69, 
##     -68, -63, -73, -56, -62, -74, -66, -72, -65, -69, -71, -68, 
##     -72, -68, -72, -60, -64, -64, -66, -62, -68, -65, -61, -65, 
##     -69, -68, -71, -65, -64, -62, -68, -65, -68, -65, -68, -61, 
##     -74, -67, -61, -66, -65, -67, -71, -52, -63, -70, -77, -65, 
##     -70, -54, -68, -69, -63, -64, -64, -64, -55, -53, -69, -58, 
##     -70, -65, -51, -67, -60, -66, -71, -63, -53, -67, -67, -63, 
##     -54, -55, -63, -71, -70, -62, -71, -70, -64, -60, -71, -56, 
##     -73, -69, -72, -69, -65, -72, -64, -70, -70, -69, -56, -72, 
##     -66, -49, -61, -51, -70, -69, -68, -71, -67, -74, -52, -72, 
##     -70, -54, -70, -67, -61, -73, -70, -58, -73, -73, -73, -73, 
##     -73, -73, -73, -73, -73, -73, -73, -73, -73, -73, -73, -73, 
##     -73, -73, -73, -73, -73, -73, -103, -87, -98, -91, -91, -86, 
##     -73, -65, -65, -71, -69, -68, -71, -63, -155, -151, -137, 
##     -123, -124, -113, -95, -89, -85, -74, -70, -53, -42, -45, 
##     -45, -45, -48, -45, -49, -49, -44, -49, -46, -45, -51, -49, 
##     -37, -39, -52, -35, -29, -39, -40, -35, -33, -32, -22, -20, 
##     -20, -17, -22, -25, -23, -14, -22, -10, -27, -20, -9, -16, 
##     -10, -18, -10, -10, -13, -25, -9, -25, -14, -9, -11, -15, 
##     -11, -22, -10, -15, -18, -21, -10, -23, -20, -18, -20, -20, 
##     -19, -16, -19, -23, -16, -17, -12, -26, -25, -24, -21, -21, 
##     -20, -24, -19, -31, -35, -27, -25, -26, -29, -30, -26, -30, 
##     -32, -23, -28, -12, -21, -25, -26, -26, -31, -16, -27, -23, 
##     -33, -24, -33, -18, -33, -31, -35, -32, -31, -31, -27, -20, 
##     -28, -32, -32, -33, -32, -33, -35, -34, -32, -29, -26, -36, 
##     -24, -33, -28, -25, -36, -39, -48, -40, -43, -43, -51, -44, 
##     -56, -57, -69, -70, -76, -79, -83, -91, -99, -105, -98, -146, 
##     -148, -136, -127, -118, -104, -100, -92, -89, -92, -86, -89, 
##     -87, -79, -90, -89, -82, -74, -96, -95, -88, -91, -89, -80, 
##     -78, -75, -67, -56, -71, -58, -42, -42, -43, -30, -32, -17, 
##     -28, -32, -15, -22, -27, -33, -28, -37, -45, -41, -52, -51, 
##     -54, -59, -74, -67, -77, -85, -84, -85, -98, -79, -84, -71, 
##     -76, -60, -64, -55, -52, -58, -52, -52, -45, -59, -44, -49, 
##     -49, -55, -37, -49, -59, -58, -45, -50, -57, -56, -57, -53, 
##     -68, -73, -85, -90, -98, -89, -117, -128, -139, -151, -157, 
##     -154, -157, -152, -133, -144, -150, -137, -129, -104, -100, 
##     -99, -104, -100, -91, -96, -98, -100, -103, -103, -98, -102, 
##     -96, -90, -93, -92, -80, -88, -80, -75, -73, -79, -80, -79, 
##     -77, -74, -84, -64, -75, -64, -59, -72, -70, -64, -61, -66, 
##     -58, -61, -48, -57, -39, -46, -53, -53, -56, -57, -39, -47, 
##     -66, -73, -75, -75, -85, -88, -94, -111, -116, -143, -145, 
##     -153, -146, -171, -178, -180, -173, -163, -167, -161, -146, 
##     -125, -107, -109, -105, -93, -81, -88, -90, -90, -94, -94, 
##     -58, -64, -57, -49, -50, -67, -63, -64, -58, -68, -67, -66, 
##     -78, -128, -135, -138, -152, -158, -165, -168, -155, -150, 
##     -154, -128, -121, -112, -110, -111, -103, -107, -107, -110, 
##     -94, -96, -81, -62, -88, -77, -87, -82, -83, -82, -83, -83, 
##     -84, -69, -77, -71, -71, -76, -72, -71, -67, -55, -69, -65, 
##     -68, -67, -50, -58, -45, -65, -56, -62, -67, -74, -85, -91, 
##     -97, -89, -99, -109, -121, -127, -134, -147, -130, -120, 
##     -116, -104, -96, -101, -106, -104, -105, -109, -98, -97, 
##     -96, -90, -90, -89, -99, -112, -108, -124, -140, -145, -155, 
##     -166, -146, -154, -139, -128, -120, -116, -108, -105, -112, 
##     -115, -106, -101, -108, -116, -108, -110, -105, -105, -104, 
##     -99, -98, -65, -58, -71, -76, -84, -84, -101, -109, -102, 
##     -106, -130, -144, -153, -182, -170, -150, -149, -134, -132, 
##     -121, -125, -113, -104, -104, -105, -100, -104, -100, -95, 
##     -97, -165, -177, -184, -173, -163, -171, -152, -152, -140, 
##     -140, -138, -129, -143, -134, -132, -125, -128, -111, -116, 
##     -115, -108, -110, -109, -113, -101, -118, -113, -107, -101, 
##     -97, -101, -100, -106, -106, -104, -89, 42, 40, 36, 40, 39, 
##     35, 46, 34, 37, 38, 39, 60, 35, 35, 37, 53, 38, 38, 32, 33, 
##     30, 50, 37, 38, 32, 37, 39, 49, 38, 38, 29, 31, 45, 50, 48, 
##     36, 32, 33, 33, 29, 37, 32, 29, 24, 29, 17, 24, 11, 7, 8, 
##     6, 9, -6, 13, 0, 2, 4, 8, 0, -2, 1, 5, 2, -4, -7, 1, 7, 11, 
##     0, 2, 9, 15, 7, 9, 29, 19, 27, 22, 10, 27, 33, 33, 35, 23, 
##     18, 18, 28, 12, 18, 19, 16, 24, 13, 11, 7, 20, 5, 23, 17, 
##     17, 9, 16, 14, 0, 8, 13, 10, 9, 3, 11, 3, 12, 5, 17, 13, 
##     6, 14, 8, 14, 5, 10, 6, 4, 13, 10, 9, 10, 10, 14, 8, 0, 15, 
##     11, 10, 0, 5, 6, 21, 6, 6, 0, 6, 7, -1, 16, 6, 3, 10, 8, 
##     0, -6, 8, 5, 6, 8, 3, 8, 23, 6, 8, 12, 8, 9, 16, 10, 9, 3, 
##     10, 18, 11, 2, 9, 12, 6, 1, 6, 9, 11, 19, 7, 23, 11, 6, 20, 
##     4, 11, 1, 11, 11, 14, 12, 9, -3, 10, 12, 10, 13, 19, 13, 
##     9, 11, 19, 15, 14, 24, 19, 17, 23, -216, -212, -208, -212, 
##     -199, -183, -183, -184, -181, -177, -170, -182, -181, -182, 
##     -182, -175, -170, -183, -184, -164, -181, -187, -185, -186, 
##     16, 11, 21, 28, 9, 8, 20, 12, 10, 14, 11, 16, 16, 22, 16, 
##     27, 18, 26, 13, 14, 28, 25, 12, 18, 28, 24, 17, 22, 22, 14, 
##     24, 1, 1, 5, -9, 2, -8, -7, 2, -12, -11, -3, -13, -15, 48, 
##     60, 44, 53, 46, 45, 45, 47, 46, 43, 41, 41, 44, 41, 47, 41, 
##     40, 33, -15, -16, -23, -12, -15, -21, -16, -22, -10, -26, 
##     -12, -22, -29, -23, -11, -8, -21, -23, -20, -18, -16, -21, 
##     -9, -8, -22, -28, -19, -19, -29, -20, -16, -12, -10, -18, 
##     -16, -2, -4, 10, 29, 26, 23, 33, 37, 47, 48, 49, 53, 49, 
##     51, 56, 56, 54, 62, 52, 57, 59, 58, 60, 72, 68, 68, 66, 58, 
##     57, 64, 59, 65, 51, 63, 56, 58, 47, 45, 33, 53, 34, 31, 25, 
##     20, 19, 31, 30, 25, 19, 32, 28, 29, 28, 35, 47, 36, 41, 29, 
##     36, 40, 31, 39, 37, 40, 46, 40, 45, 45, 47, 67, 55, 63, 66, 
##     66, 52, 54, 61, 55, 57, 50, 56, 54, 65, 58, 63, 52, 55, 57, 
##     53, 46, 45, 69, 55, 58, 49, 52, 54, 52, 51, 48, 48, 57, 41, 
##     47, 48, 43, 64, 44, 47, 54, 42, 45, 45, 50, 60, 63, 72, 69, 
##     69, 59, 34, 36, 37, 35, 41, 28, 41, 32, 30, 36, 36, 45, 54, 
##     41, 36, 41, 44, 51, 53, 46, 58, 56, 55, 60, 65, 61, 60, 66, 
##     65, 57, 66, 67, 59, 57, 60, 60, 62, 58, 61, 52, 54, 54, 44, 
##     42, 47, 48, 28, 27, 10, 4, 1, 3, -2, -16, -19, -32, -25, 
##     -42, -46, -25, 32, 23, 21, 25, 19, 33, 23, 25, 30, 25, 40, 
##     28, 29, 36, 32, 40, 39, 53, 36, 40, 32, 34, 40, 41, 64, 47, 
##     46, 52, 54, 48, 52, 61, 54, 69, 59, 50, 60, 61, 69, 57, 53, 
##     64, 48, 48, 45, 44, 57, 35, 30, 26, 28, 29, 28, 6, 23, 1, 
##     10, -8, -8, -18, -20, -25, -9, -20, -22, -28, -24, -32, -28, 
##     -32, -35, -43, -32, -39, 24, 41, 26, 29, 27, 39, 28, 39, 
##     49, 43, 44, 54, 56, 55, 59, 55, 58, 61, 61, 67, 70, 64, 75, 
##     65, 75, 72, 62, 53, 57, 54, 49, 54, 49, 51, 39, 51, 37, 26, 
##     26, 23, 16, 9, 27, 7, 7, -1, 1, -9, -23, -26, -31, -40, -49, 
##     -45, -46, -49, -43, -37, -39, -32, -17, -5, -6, -11, -7, 
##     13, 5, 9, 8, 10, 12, 11, 16, 31, 13, 8, 18, 33, 25, 39, 28, 
##     40, 30, 31, 46, 35, 37, 45, 45, 42, 44, 41, 43, 40, 43, 49, 
##     54, 43, 47, 36, 56, 41, 43, 33, 47, 46, 49, 36, 23, 33, 34, 
##     19, 22, 18, 17, 6, 9, -3, -7, 2, -5, -9, -21, -28, -36, -31, 
##     -41, -34, -26, -25, -43, -26, -39, -24, -30, -43, -28, -20, 
##     -18, -21, -8, 1, 11, 0, 4, 17, 22, 11, 12, 27, 16, 24, 11, 
##     15, 16, 18, 27, 23, 24, 26, 30, 32, 29, 28, 32, 41, 40, 41, 
##     38, 53, 49, 41, 35, 39, 54, 44, 45, 40, 52, 44, 58, 47, 51, 
##     54, 45, 42, 40, 41, 44, 43, 43, 42, 48, 35, 43, 27, 29, 17, 
##     19, 17, 11, 2, -4, -5, -13, -20, -23, -22, -27, -41, -51, 
##     -39, -31, -40, -41, -43, -45, -49, -44, -42, -36, 34, 46, 
##     56, 51, 45, 61, 45, 44, 48, 42, 42, 42, 37, 35, 40, 31, 35, 
##     30, 30, 8, 7, -3, -1, 9, -11, 2, -14, -21, -23, -14, -36, 
##     -26, -32, -34, -35, -34, -26, -28, -33, -45, -43, -34, -29, 
##     -41, -32, -42, -32, -31, -42, -41, -34, -32, -15, -6, 8, 
##     1, -7, -1, 11, 2, 3, 6, 7, 7, 10, 6, 11, 16, 24, 21, 25, 
##     21, 17, 20, 25, 22, 21, 27, 26, 26, 23, 30, 31, 27, 28, 48, 
##     34, 32, 26, -52, -44, -44, -42, -43, -32, -36, -38, -20, 
##     -31, -32, -24, -23, -17, -14, -7, -10, -16, -8, -7, 11, -2, 
##     3, 3, 0, 18, 2, 8, 11, 3, 20, 25, 7, 27, 308, 308, 308, 308, 
##     308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 
##     308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 
##     308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 
##     308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 
##     308, 308, 308, 308, 308, 308, 308, 308, 263, 261, 260, 257, 
##     252, 249, 240, 236, 226, 227, 233, 250, 249, 263, 260, 260, 
##     261, 266, 265, 274, 271, 273, 275, 263, 272, 286, 275, 278, 
##     280, 275, 280, 292, 290, 298, 298, 306, 308, 301, 302, 307, 
##     297, 306, 296, 296, 301, 311, 309, 289, 289, 298, 303, 306, 
##     295, 277, 275, 279, 280, 272, 271, 263, 274, 286, 277, 280, 
##     297, 288, 283, 287, 295, 303, 302, 296, 291, 288, 283, 276, 
##     283, 283, 283, 283, 283, 293, 283, 289, 304, 300, 311, 304, 
##     293, 292, 279, 301, 298, 283, 278, 275, 295, 282, 284, 282, 
##     286, 297, 291, 305, 293, 302, 318, 302, 311, 301, 304, 298, 
##     294, 306, 320, 309, 305, 314, 306, 310, 310, 298, 296, 306, 
##     298, 292, 293, 298, 291, 294, 294, 306, 291, 282, 283, 288, 
##     285, 281, 300, 283, 295, 295, 309, 288, 279, 321, 321, 316, 
##     320, 321, 314, 314, 316, 320, 320, 324, 328, 313, 317, 317, 
##     335, 325, 319, 325, 313, 293, 295, 297, 292, 293, 294, 294, 
##     296, 301, 295, 295, 298, 301, 312, 315, 319, 308, 315, 308, 
##     302, 307, 299, 299, 306, 306, 320, 311, 325, 317, 319, 318, 
##     306, 317, 331, 307, 308, 321, 319, 310, 321, 319, 324, 327, 
##     317, 318, 313, 314, 310, 329, 316, 315, 311, 301, 299, 298, 
##     291, 293, 293, 312, 302, 330, 307, 306, 311, 315, 311, 310, 
##     311, 326, 313, 328, 313, 334, 344, 332, 327, 326, 328, 315, 
##     323, 323, 329, 326, 326, 319, 316, 329, 322, 324, 338, 331, 
##     340, 329, 323, 327, 320, 319, 324, 323, 335, 330, 325, 336, 
##     324, 327, 328, 327, 330, 337, 332, 353, 342, 345, 326, 321, 
##     328, 325, 316, 329, 336, 337, 321, 320, 322, 310, 317, 305, 
##     316, 322, 308, 317, 315, 309, 302, 305, 314, 321, 315, 322, 
##     316, 309, 312, 317, 307, 314, 315, 317, 332, 339, 355, 346, 
##     344, 335, 341, 330, 331, 332, 351, 336, 327, 333, 342, 342, 
##     340, 334, 342, 339, 328, 347, 340, 334, 336, 351, 335, 336, 
##     328, 343, 320, 329, 321, 312, 314, 314, 310, 311, 311, 318, 
##     311, 315, 317, 312, 309, 313, 311, 297, 305, 311, 302, 300, 
##     306, 320, 329, 330, 340, 334, 334, 347, 335, 341, 347, 342, 
##     342, 344, 356, 343, 342, 349, 345, 346, 327, 322, 313, 310, 
##     304, 310, 307, 298, 299, 291, 289, 293, 293, 294, 297, 308, 
##     286, 295, 287, 293, 287, 306, 295, 286, 290, 299, 291, 301, 
##     288, 290, 292, 289, 301, 288, 303, 308, 297, 304, 288, 296, 
##     297, 309, 308, 294, 296, 299, 294, 296, 292, 303, 298, 293, 
##     298, 293, 299, 291, 294, 288, 292, 299, 308, 307, 289, 301, 
##     292, 289, 303, 293, 297, 301, 287, 300, 283, 287, 293, 299, 
##     286, 300, 278, 285, 281, 275, 278, 281, 285, 285, 271, 270, 
##     262, 263, 264, 268, 300, 297, 314, 316, 319, 352, 371, 370, 
##     383, 405, 404, 414, 410, 386, 373, 370, 372, 373, 363, 374, 
##     376, 379, 378, 382, 382, 393, 413, 362, 357, 322, 315, 313, 
##     308, 284, 279, 287, 293, 288, 283, 277, 273, 270, 275, 260, 
##     256, 252, 256, 271, 261, 260, 260, 257, 262, 265, 262, 275, 
##     274, 303, 316, 326, 336, 344, 378, 404, -8, -3, 2, -10, 0, 
##     -2, 2, 0, -6, 6, -5, -6, 6, -9, -8, -7, 1, -6, 0, -6, -7, 
##     -9, -1, 0, -7, -5, -8, -9, 13, -5, -4, -4, -3, -3, -8, 2, 
##     10, -1, -2, -5, -10, 11, -5, -1, -2, -2, 6, 0, -8, 0, 7, 
##     21, 8, -1, -8, 1, -4, -8, -7, -5, -8, -9, -7, -2, -3, -2, 
##     3, -1, 0, 3, -6, -5, -1, -3, -14, -7, -8, -10, -9, -3, -7, 
##     -16, -13, -12, -12, -8, -2, -16, -3, -3, -3, -16, -5, -13, 
##     7, -10, -9, -15, -18, -15, -15, -12, -9, -7, -10, -5, -5, 
##     -5, -6, -8, -9, -7, -8, -13, -5, 1, -9, -7, -9, -7, 7, -7, 
##     3, 10, -9, -2, -7, -9, -4, -8, -5, -9, -6, 12, -9, -5, 1, 
##     -12, -13, -10, -4, -11, -8, -5, -6, -9, -11, -9, 6, -6, -5, 
##     -13, -6, -9, -14, -4, -10, -6, -3, -5, -8, 7, -13, -9, -10, 
##     -10, -11, -7, -13, -14, -10, -3, -5, -7, -4, -11, -12, -1, 
##     0, -7, 6, -2, 2, 1, 0, -4, -4, 2, -3, 0, 4, -6, 7, -7, -3, 
##     3, -7, 1, -7, 2, -8, 1, -1, 4, 0, 2, 2, 2, -3, 2, 0, 5, 16, 
##     4, 7, 9, 0, -4, 0, 13, 5, 21, 2, 16, 13, 9, 20, 8, 27, 14, 
##     27, 11, 17, 9, 21, 16, 16, 47, 44, 47, 41, 48, 36, 44, 32, 
##     41, 44, 46, 52, 51, 61, 54, 52, 46, 52, 48, 51, 53, 54, 47, 
##     56, 50, 60, 49, 59, 61, 50, 58, 54, 47, 59, 54, 69, 64, 53, 
##     58, 56, 57, 64, 65, 65, 65, 74, 78, 64, 83, 72, 60, 69, 69, 
##     73, 73, 68, 64, 77, 64, 68, 64, 67, 60, 58, 65, 61, 60, 78, 
##     70, 69, 74, 70, 65, 59, 58, 71, 71, 75, 66, 62, 59, 59, 61, 
##     55, 57, 57, 57, 48, 51, 56, 53, 55, 73, 66, 60, 53, 58, 50, 
##     63, 50, 56, 63, 53, 68, 66, 55, 54, 55, 53, 48, 54, 63, 63, 
##     66, 53, 54, 54, -61, -48, -56, -53, -56, -51, -63, -52, -46, 
##     -33, -30, -39, -35, -25, -19, -28, -13, -20, -16, -5, -14, 
##     -16, -22, -23, -21, -31, -19, -23, -44, -46, -52, -56, -59, 
##     -62, -59, -56, -41, -51, -46, -58, -60, -58, -51, -53, -54, 
##     -41, -42, -44, -45, -44, -46, -46, -38, -36, -37, -27, -32, 
##     -36, -29, -24, -39, -30, -38, -42, -36, -41, -22, -35, -42, 
##     -30, -30, -30, -30, -44, -41, -50, -50, -59, -59, -52, -61, 
##     -54, -54, -59, -55, -58, -43, -57, -44, -29, -43, -35, -25, 
##     -31, -30, -31, -20, -29, -15, -15, -19, -3, -9, -16, -25, 
##     -29, -18, -31, -35, -40, -38, -38, -45, -39, -43, -50, -50, 
##     -48, -50, -49, -38, -45, -42, -49, -42, -36, -49, -38, -30, 
##     -33, -40, -40, -38, -33, -41, -43, -31, -39, -42, -43, -44, 
##     -38, -34, -48, -33, -53, -47, -69, -62, -67, -70, -65, -70, 
##     -62, -50, -60, -48, -39, -37, -32, -29, -19, -19, -22, -10, 
##     -21, -36, -39, -40, -34, -42, -44, -46, -50, -54, -53, -42, 
##     -57, -66, -56, -58, -53, -55, -54, -48, -44, -46, -38, -40, 
##     -41, -38, -43, -43, -40, -38, -23, -36, -36, -24, -39, -40, 
##     -44, -36, -44, -39, -47, -48, -55, -59, -53, -65, -72, -72, 
##     -62, -70, -63, -50, -65, -57, -38, -55, -38, -23, -28, -20, 
##     -15, -1, -16, -9, -15, -13, -6, -13, -14, -26, -23, -31, 
##     -32, -39, -32, -47, -51, -42, -53, -52, -35, -56, -38, -40, 
##     -46, -25, -35, -36, -34, -31, -30, -29, -33, -31, -28, -34, 
##     -29, -29, -21, -32, -44, -45, -40, -51, -47, -58, -57, -57, 
##     -64, -65, -75, -72, -88, -82, -84, -67, -60, -55, -55, -28, 
##     -25, -30, -21, -35, -22, -41, -40, -36, -48, -54, -43, -40, 
##     -56, -46, -47, -63, -62, -65, -67, -62, -55, -49, -51, -43, 
##     -45, -32, -42, -37, -42, -43, -43, -26, -44, -38, -36, -45, 
##     -34, -41, -46, -42, -43, -57, -67, -47, -64, -73, -73, -83, 
##     -77, -64, -71, -53, -50, -51, -31, -38, -28, -42, -42, -37, 
##     -45, -50, -52, -38, -48, -58, -60, -62, -61, -54, -59, -64, 
##     -60, -55, -74, -74, -72, -78, -74, -68, -71, -68, -68, -67, 
##     -69, -62, -57, -59, -59, -61, -66, -71, -63, -65, -70, -70, 
##     -69, -77, -84, -76, -80, -76, -96, -100, -101, -101, -96, 
##     -94, -75, -50, -56, -55, -43, -41, -47, -42, -46, -48, -53, 
##     -49, -53, -39, -40, -45, -58, -64, -58, -58, -62, -62, -55, 
##     -43, -57, -54, -52, -51, -40, -39, -44, -50, -55, -54, -37, 
##     -55, -39, -44, -48, -44, -55, -53, -57, -51, -63, -53, -49, 
##     -69, -60, -59, -69, -67, -81, -80, -61, -59, -33, -33, -35, 
##     -25, -43, -45, -47, -40, -32, -39, -40, -55, -48, -50, -58, 
##     -59, -53, -69, -52, -68, -70, -72, -84, -81, -88, -78, -59, 
##     -65, -73, -77, -57, -50, -33, -45, -42, -24, -33, -29, -32, 
##     -35, -36, -34, -32, -35, -35, -32, -46, -47, -47, -53, -64, 
##     -54, -41, -60, -56, -36, -52, -29, -27, -41, -38, -9, -30, 
##     -30, -31, -17, -22, -24, -26, -31, -30, -39, -41, -44, -40, 
##     -36, -29, -40, -25, -41, -41, -33, -37, -38, -36, -44, -47, 
##     -43, -48, -53, -57, -58, -65, -63, -50, -54, -54, -33, -47, 
##     -42, -46, -39, -36, -29, -28, -22, -19, -11, -27, -22, -26, 
##     -18, -32, -38, -33, -41, -29, -41, -32, -33, -28, -36, -33, 
##     -38, -28, -20, -23, -22, -18, -19, -20, -11, -19, -16, -19, 
##     -17, -15, -22, -22, -15, -20, -24, -24, -26, -30, -28, -22, 
##     -18, -24, -28, -28, -27, -27, -32, -22, -33, -26, -27, -27, 
##     -16, -28, -31, -25, -27, -34, -34, -28, -35, -16, -31, -26, 
##     -27, -31, -24, -21, -19, -31, -30, -30, -29, -25, -26, -30, 
##     -20, -23, -23, -29, -24, -32, 68, 62, 73, 64, 58, 62, 60, 
##     62, 60, 53, 49, 65, 55, 54, 53, 58, 55, 57, 54, 46, 57, 57, 
##     56, 48, 49, 71, 59, 49, 54, 52, 46, 51, 49, 60, 42, 46, 60, 
##     46, 54, 48, 47, 49, 53, 47, 48, 48, 63, 50, 53, 45, 53, 64, 
##     57, 54, 48, 50, 52, 54, 51, 53, 51, 56, 43, 51, 61, 55, 62, 
##     51, 52, 56, 52, 47, 53, 69, 48, 56, 52, 47, 56, 55, 52, 49, 
##     49, 51, 57, 62, 65, 51, 48, 54, 62, 54, 61, 63, 66, 53, 52, 
##     45, 49, 55, 50, 57, 63, 60, 54, 59, 56, 65, 55, 56, 60, 58, 
##     55, 59, 60, 68, 58, 52, 63, 57, 57, 64, 56, 57, 58, 60, 46, 
##     55, 57, 55, 65, 54, 58, 52, 58, 50, 58, 55, 58, 63, 51, 65, 
##     53, 67, 55, 53, 52, 50, 56, 58, 53, 55, 56, 44, 57, 55, 57, 
##     56, 49, 62, 53, 53, 59, 56, 58, 74, 62, 64, 65, 58, 66, 67, 
##     55, 57, 58, 62, 54, 50, 50, 68, 52, 52, 60, 60, 55, 54, 54, 
##     55, 57, 60, 59, 51, 57, 63, 56, 59, 58, 64, 50, 58, 55, 56, 
##     58, 53, 63, 55, 52, 51, 47, 68, 49, 51, 57, 70, 66, 61, 58, 
##     57, 50, 58, 48, 43, 49, 59, 49, 45, 55, 51, 53, 48, 47, 55, 
##     54, 63, 46, 49, 56, 51, 53, 61, 47, 54, 52, 48, 58, 56, 69, 
##     54, 60, 62, 63, 70, 61, 60, 64, 63, 72, 61, 59, 74, 65, 66, 
##     60, 69, 59, 70, 67, 56, 66, 65, 68, 59, 68, 73, 56, 60, 65, 
##     64, 64, 66, 52, 58, 55, 58, 72, 62, 60, 55, 57, 60, 59, 56, 
##     66, 65, 57, 59, 56, 60, 65, 59, 56, 63, 61, 57, 65, 59, 59, 
##     61, 64, 54, 54, 72, 60, 62, 57, 64, 59, 66, 62, 53, 59, 60, 
##     55, 63, 43, 37, 41, 42, 36, 29, 27, 36, 21, 13, 7, 12, 7, 
##     -4, -1, 1, -22, -23, -33, -28, -40, -34, -43, -40, -44, -45, 
##     -36, -39, -28, -38, -19, -14, -17, -22, -8, -32, -24, -27, 
##     -32, -31, -24, -32, -25, -22, -24, -23, -16, -6, 7, 10, 5, 
##     10, 8, 1, 8, 17, 21, 6, 5, 10, 8, 6, 13, -3, -2, -21, -19, 
##     -14, -39, -32, -30, -29, -27, -45, -45, -35, -40, -65, -56, 
##     -60, -60, -45, -31, -41, -30, -34, -43, -47, -47, -51, -48, 
##     -43, -36, -31, -26, -19, -7, 2, 10, 3, 10, 29, 8, 17, 2, 
##     29, 5, -4, -9, -7, -19, -26, -35, -24, -44, -42, -42, -54, 
##     -42, -49, -63, -67, -69, -64, -70, -60, -49, -59, -57, -44, 
##     -62, -57, -68, -56, -71, -77, -59, -68, -59, -51, -40, -16, 
##     -23, -6, 1, -1, 2, 2, 8, 10, 11, 18, 16, 20, 15, 23, 10, 
##     -23, -20, -30, -38, -42, -46, -44, -55, -56, -62, -49, -67, 
##     -71, -75, -62, -72, -69, -75, -74, -58, -56, -62, -53, -40, 
##     -47, -46, -50, -55, -59, -50, -48, -41, -42, -38, -16, -3, 
##     1, -7, -10, 6, 5, 15, 18, 13, 4, -1, -16, -19, -18, -19, 
##     -35, -42, -34, -54, -56, -59, -70, -80, -71, -72, -81, -77, 
##     -73, -71, -57, -65, -50, -52, -39, -50, -58, -55, -60, -57, 
##     -55, -45, -49, -46, -23, -32, -21, -27, -25, -15, -25, -24, 
##     -17, -10, -3, -20, -18, -21, -26, -31, -26, -40, -46, -31, 
##     -43, -56, -62, -65, -50, -59, -62, -62, -62, -70, -69, -75, 
##     -73, -78, -79, -71, -65, -59, -64, -54, -61, -64, -56, -60, 
##     -61, -61, -50, -66, -56, -69, -62, -55, -65, -49, -57, -35, 
##     -24, -34, -29, -34, -31, -25, -19, -20, -11, -12, 1, -22, 
##     -14, -13, -24, -21, -25, -34, -47, -39, -49, -50, -44, -40, 
##     -62, -56, -54, -59, -55, -52, -49, -47, -61, -57, -43, -53, 
##     -46, -59, -61, -54, -51, -47, -40, -37, -32, -26, -16, -3, 
##     -5, -8, -3, 6, -2, 6, 7, 18, 7, 17, -5, -6, 1, -5, 8, -3, 
##     3, -25, -32, -38, -25, -28, -40, -36, -49, -40, -70, -52, 
##     -62, -67, -73, -50, -56, -63, -60, -50, -51, -48, -53, -58, 
##     -56, -53, -58, -53, -58, -57, -58, -44, -48, -47, -42, -39, 
##     -34, -25, -34, -20, -18, -14, -7, -17, -18, -16, -22, -17, 
##     -32, -30, -34, -31, -38, -51, -41, -52, -50, -64, -74, -69, 
##     -74, -78, -93, -98, -97, -103, -93, -82, -60, -58, -62, -62, 
##     -55, -52, -54, -27, -42, -25, -13, -15, -10, -7, -4, -6, 
##     -7, -9, -7, -26, -27, -47, -41, -40, 307, 308, 311, 317, 
##     310, 308, 327, 313, 311, 304, 305, 303, 300, 316, 315, 316, 
##     307, 311, 309, 310, 318, 308, 301, 313, 309, 313, 307, 316, 
##     307, 309, 309, 302, 306, 303, 308, 308, 308, 308, 308, 308, 
##     308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 
##     308, 308, 1, -2, 0, 1, -15, -21, -30, -26, -35, -37, -32, 
##     -47, -46, -52, -36, 32, 37, 27, 34, 32, 37, 24, 31, 32, 35, 
##     29, 36, 29, 29, 18, 27, 26, 20, 10, 9, 11, 10, 11, -21, -11, 
##     3, 8, 2, 7, 9, 11, 8, 20, 20, 9, 27, 29, 17, 20, 33, 41, 
##     31, 42, -50, -44, -47, -32, -44, -28, -38, -30, -21, -9, 
##     -15, 5, 18, 11, 10, 22, 19, 18, 22, 29, 24, -31, -28, -22, 
##     -24, -22, -14, -5, -6, -1, 13, 20, 15, 4, 9, 12, 15, 8, 24, 
##     12, 22, 19, 24, 28, 20, -1, -15, -10, 4, -17, -16, -18, -6, 
##     5, 4, 10, 19, 17, 25, 23, 41, 45, 41, 52, 42, 58, 49, 54, 
##     49, 54, 44, 61, 45, 61, 58, 44, 58, 48, 48, 39, 43, 44, 38, 
##     48, 38, 38, 32, 37, 71, 57, 70, 50, 53, 56, 58, 60, 56, 55, 
##     51, 33, -114, -107, -107, -109, -109, -111, -108, -111, -103, 
##     -109, -106, -100, -102, -99, -98, -98, -102, -100, -98, -101, 
##     -85, -100, -104, -103, -101, -89, -102, -97, -100, -103, 
##     -80, -86, -80, -81, -83, -68, -95, -81, -95, -95, -92, -91, 
##     -102, -108, -96, -100, -99, -101, -108, -108, -94, -102, 
##     -104, -106, -108, -97, -111, -108, -99, -98, -106, -111, 
##     -115, -113, -112, -102, -118, -102, -116, -104, -112, -102, 
##     -107, -118, -109, -112, -116, -127, -137, -137, -146, -137, 
##     -145, -163, -168, -164, -180, -179, -177, -169, -183, -154, 
##     -157, -162, -165, -169, -163, -165, -167, -170, -168, -168, 
##     -163, -149, -157, -152, -160, -162, -156, -166, -149, -160, 
##     -164, -159, -152, -163, -162, -145, -149, -155, -160, -161, 
##     -163, -164, -157, -163, -164, -170, -170, -166, -165, -174, 
##     -165, -160, -173, -175, -175, -165, -175, -171, -156, -170, 
##     -164, -157, -177, -163, -175, -175, -176, -159, -153, -152, 
##     -141, -139, -110, -110, -116, -120, -117, -118, -118, -114, 
##     -120, -120, -129, -117, -115, -125, -133, -146, -146, -153, 
##     -153, -155, -184, -187, -185, -184, -174, -183, -177, -172, 
##     -171, -169, -175, -144, -168, -154, -149, -157, -152, -152, 
##     -160, -157, -151, -145, -140, -135, -131, -127, -134, -134, 
##     -134, -133, -136, -142, -133, -134, -135, -143, -153, -148, 
##     -148, -135, -139, -143, -150, -144, -144, -134, -150, -144, 
##     -135, -145, -148, -145, -144, -138, -148, -148, -143, -143, 
##     -148, -146, -133, -134, -133, -134, -128, -119, -114, -118, 
##     -114, -115, -123, -132, -122, -128, -141, -133, -146, -154, 
##     -146, -159, -174, -171, -193, -192, -190, -199, -190, -196, 
##     -186, -196, -187, -186, -169, -172, -141, -150, -156, -151, 
##     -143, -148, -136, -136, -140, -141, -134, -116, -120, -124, 
##     -125, -112, -133, -122, -135, -150, -150, -152, -171, -180, 
##     -175, -180, -170, -176, -178, -166, -185, -183, -171, -186, 
##     -159, -161, -170, -173, -180, -167, -167, -173, -175, -162, 
##     -167, -167, -160, -152, -164, -172, -162, -161, -164, -163, 
##     -154, -164, -167, -168, -160, -153, -159, -165, -163, -166, 
##     -166, -161, -172, -176, -178, -182, -174, -195, -197, -201, 
##     -224, -221, -213, -223, -211, -208, -213, -212, -195, -199, 
##     -194, -191, -182, -181, -184, -180, -163, -176, -185, -183, 
##     -181, -189, -188, -185, -180, -187, -178, -190, -189, -174, 
##     -177, -180, -171, -159, -166, -165, -169, -170, -158, -169, 
##     -167, -169, -169, -175, -169, -166, -167, -168, -164, -164, 
##     -168, -165, -170, -172, -164, -181, -184, -183, -177, -185, 
##     -195, -191, -201, -215, -216, -206, -214, -231, -212, -205, 
##     -176, -172, -185, -174, -181, -172, -181, -180, -180, -180, 
##     -179, -182, -178, -180, -180, -178, -169, -181, -175, -164, 
##     -164, -165, -157, -158, -153, -162, -160, -154, -159, -156, 
##     -160, -156, -153, -166, -165, -179, -179, -187, -185, -190, 
##     -188, -196, -197, -198, -215, -185, -178, -190, -184, -187, 
##     -195, -187, -186, -180, -183, -186, -185, -186, -185, -172, 
##     -186, -179, -184, -181, -187, -180, -179, -163, -175, -171, 
##     -176, -168, -174, -180, -173, -172, -175, -174, -156, -159, 
##     -171, -168, -169, -171, -180, -179, -178, -176, -201, -214, 
##     -201, -221, -222, -238, -226, -235, -223, -235, -213, -226, 
##     -215, -212, -205, -202, -207, -193, -191, -182, -188, -176, 
##     -182, -187, -184, -188, -168, -180, -186, -182, -173, -189, 
##     -182, -190, -190, -190, -177, -174, -173, -161, -172, -161, 
##     -157, -161, -162, -164, -164, -161, -147, -147, -160, -156, 
##     -155, -141, -159, -168, -164, -163, -168, -177, -195, -204, 
##     -218, -216, -219, -218, -225, -213, -229, -228, -232, -229, 
##     -221, -208, -202, -202, -206, -204, -199, -195, -191, -193, 
##     -188, -174, -161, -169, -171, -177, -182, -177, -184, -183, 
##     -178, -169, -173, -180, -186, -184, -180, -185, -184, -174, 
##     -160, -163, -144, -154, -152, -156, -145, -143, -144, -149, 
##     -138, -137, -141, -142, -139, -147, -147, -149, -152, -138, 
##     -149, -145, -162, -155, -160, -167, -173, -172, -179, -190, 
##     -195, -185, -199, -196, -199, -210, -217, -214, -208, -213, 
##     -194, -203, -195, -188, -185, -175, -185, -166, -189, -183, 
##     -181, -170, -185, -185, -181, -173, -184, -179, -183, -182, 
##     -169, -183, -185, -184, -172, -187, -185, -179, -182, -187, 
##     -191, -179, -183, -185, -174, -191, -173, -177, -178, -179, 
##     -176, -176, -176, -160, -177, -171, -158, -165, -175, -172, 
##     -164, -165, -206, -218, -209, -229, -218, -225, -230, -216, 
##     -209, -204, -211, -214, -211, -213, -191, -200, -193, -193, 
##     -180, -191, -185, -195, -195, -195, -189, -200, -193, -198, 
##     -196, -183, -184, -192, -196, -189, -185, -178, -190, -185, 
##     -188, -171, -175, -183, -192, -176, -187, -173, -181, -189, 
##     -172, -175, -168, 10, 15, 26, 23, 9, 28, 39, 27, 36, 31, 
##     28, 32, 31, 37, 33, 40, 39, 44, 38, 55, 43, 44, 46, 48, 37, 
##     35, 37, 35, 37, 33, 38, 16, 23, 5, 2, 1, 0, 5, 0, -9, -17, 
##     -12, -16, -24, -10, -32, -29, -16, -51, -42, -54, -47, -65, 
##     -56, -57, -64, -59, -55, -55, -54, -44, -34, -11, -9, -15, 
##     -3, 4, 8, -8, -1, 1, 12, -3, 0, -3, 6, 7, 7, 14, 11, 8, 22, 
##     15, 9, 11, 19, 13, 19, 15, 24, 17, 37, 29, 34, 26, 35, 36, 
##     37, 36, 39, 35, 48, 32, 48, -155, -160, -152, -158, -166, 
##     -149, -154, -155, -159, -167, -173, -176, -176, -178, -179, 
##     -174, -189, -189, -198, -199, -203, -214, -209, -203, -198, 
##     -195, -196, -184, -186, -174, -170, -164, -176, -176, -173, 
##     -176, -167, -179, -167, -173, -172, -160, -169, -172, -178, 
##     -182, -173, -179, -177, -178, -174, -187, -197, -207, -207, 
##     -204, -217, -213, -205, -208, -209, -202, -193, -192, -175, 
##     -166, -167, -157, -144, -158, -156, -153, -152, -171, -163, 
##     -166, -158, -146, -146, -142, -133, -138, -145, -152, -157, 
##     -152, -157, -166, -155, -156, -157, -142, -144, -135, -135, 
##     -151, -157, -143, -148, -159, -159, -163, -165, -167, -166, 
##     -179, -183, -179, -170, -178, -181, -183, -99, -102, -101, 
##     -94, -95, -91, -100, -86, -102, -99, -91, -91, -71, -85, 
##     -72, -89, -85, -74, 53, 52, 47, 55, 53, 52, 42, 39, 41, 44, 
##     43, 48, 57, 51, 51, 51, 48, 51, 41, 61, 50, 58, 43, 43, 55, 
##     69, 54, 57, 57, 55, 53, 56, 50, 59, 54, 59, 52, 47, 52, 67, 
##     56, 57, 62, 49, 60, 46, 56, 49, 54, 55, 48, 58, 336, 339, 
##     335, 335, 327, 327, 335, 328, 335, 328, 331, 318, 320, 314, 
##     318, 319, 312, 319, 312, 306, 300, 300, 312, 296, 301, 297, 
##     304, 299, 313, 311, 320, 315, 315, 310, 312, 312, 307, 308, 
##     317, 316, 322, 314, 334, 333, 317, 326, 306, 325, 324, 326, 
##     326, 326, 320, 329, 324, 325, 324, 332, 332, 322, 324, 314, 
##     309, 310, 321, 309, 305, 313, 313, 309, 309, 306, 299, 325, 
##     304, 322, 321, 321, 329, 318, 315, 327, 318, 315, 320, 316, 
##     342, 314, 291, 283, 296, 289, 315, 298, 298, 301, 300, 316, 
##     303, 296, 300, 312, 294, 315, 305, 305, 301, 297, 307, 309, 
##     310, 317, 310, 274, 274, 274, 274, 274, 274, 274, 271, 271, 
##     271, 271, 271, 265, 273, 273, 273, 261, 261, 267, 267, 267, 
##     267, 267, 266, 266, 267, 313, 312, 313, 310, 307, 309, 310, 
##     69.6, 313, 308, 321, 311, 317, 316, 315, 307, 302, 308, 313, 
##     310, 325, 315, 312, 311, 318, 311, 309, 310, 312, 311, 331, 
##     310, 317, 319, 311, 319, 314, 317, 315, 312, 317, 313, 311, 
##     313, 315, 315, 327, 309, 318, 317, 313, 312, 312, 313, 309, 
##     310, 314, 314, 316, 316, 315, 314, 310, 314, 314, 313, 314, 
##     312, 316, 313, 318, 317, -84, -92, -79, -88, -89, -86, -97, 
##     -87, -90, -95, -89, -97, -97, -90, -96, -94, -98, -82, -102, 
##     -109, -94, -120, -110, -120, -128, -142, -94, -100, -101, 
##     -96, -96, -90, -86, -67, -79, -80, -73, -75, -74, -67, -74, 
##     -64, -89, -88, -87, -78, -79, -72, -81, -82, -66, -68, -71, 
##     -59, -72, -77, -71, -80, -65, -79, -74, -76, -92, -86, -82, 
##     -86, -76, -76, -73, -66, -78, -80, -80, -65, -74, -68, -63, 
##     -64, -72, -73, -71, -129, -131, -135, -129, -128, -121, -116, 
##     -108, -102, -102, -101, -93, -95, -92, -93, -100, -92, -85, 
##     -82, -80, -85, -81, -79, -94, -88, -90, -86, -72, -76, -151, 
##     -158, -44, -33, -48, -50, -50, -46, -56, -55, -50, -57, -61, 
##     -53, -53, -55, -57, -48, -44, -57, -55, -38, -39, -45, -44, 
##     -52, -31, -47, -42, -41, -36, -40, -29, -94, -103, -98, -88, 
##     -97, -93, -90, -88, -91, -87, -100, -83, -100, -109, -112, 
##     -111, -114, -121, -136, -130, -166, -169, -178, -186, -183, 
##     -164, -161, -145, -141, -137, -120, -128, -130, -133, -122, 
##     -124, -126, -121, -119, -115, -111, -109, -111, -105, -104, 
##     -112, -111, -98, -88, -95, -102, -96, -84, -85, -87, -79, 
##     -87, -80, -78, -85, -85, -83, -81, -85, -87, -87, -82, -82, 
##     -85, -81, -86, -88, -80, -77, -88, -87, -82, -85, -83, -84, 
##     -87, -83, -88, -178, -165, -189, -189, -204, -215, -218, 
##     -208, -205, -216, -208, -202, -201, -182, -162, -163, -149, 
##     -171, -156, -170, -156, -143, -137, -144, -138, -132, -132, 
##     -119, -117, -115, -117, -87, -87, -86, -77, -73, -62, -64, 
##     -42, -60, -56, -44, -36, -46, -60, -53, -53, -61, -56, -82, 
##     -85, -91, -102, -103, -113, -127, -138, -153, -165, -184, 
##     -191, -191, -219, -207, -213, -190, -189, -172, -176, -157, 
##     -160, -162, -151, -145, -140, -151, -131, -116, -124, -121, 
##     -122, -122, -109, -98, -81, -88, -73, -75, -57, -47, -51, 
##     -47, -50, -50, -44, -53, -77, -95, -86, -95, -94, -101, -114, 
##     -115, -127, -133, -137, -138, -154, -156, -146, -170, -175, 
##     -173, -184, -183, -188, -206, -199, -208, -194, -176, -154, 
##     -160, -155, -150, -148, -161, -148, -123, -133, -130, -112, 
##     -89, -105, -90, -80, -84, -82, -75, -70, -62, -60, -45, -52, 
##     -49, -43, -59, -72, -58, -64, -70, -75, -81, -80, -102, -95, 
##     -104, -119, -103, -118, -160, -177, -183, -195, -203, -206, 
##     -207, -207, -85, -82, -65, -73, -68, -72, -83, -86, -79, 
##     -98, -89, -97, -112, -103, -117, -120, -114, -129, -138, 
##     -131, -149, -158, -172, -199, -215, -203, -218, -219, -224, 
##     -215, -196, -179, -173, -186, -188, -191, -183, -184, -171, 
##     -169, -154, -158, -147, -140, -107, -94, -110, -103, -93, 
##     -99, -93, -84, -80, -85, -75, -79, -75, -69, -70, -79, -79, 
##     -86, -76, -86, -95, -92, -98, -102, -101, -117, -121, -111, 
##     -133, -139, -174, -181, -198, -204, -215, -212, -219, -208, 
##     -222, -209, -216, -210, -198, -200, -194, -185, -170, -169, 
##     -158, -143, -128, -97, -94, -55, -47, -37, -56, -59, -70, 
##     -212, -222, -198, -182, -183, -180, -183, -173, -144, -124, 
##     -135, -125, -118, -119, -109, -105, -83, -50, -57, -56, -59, 
##     -56, -54, -53, -57, -39, -47, -63, -52, -49, -59, -63, -57, 
##     -87, -72, -88, -82, -88, -84, -97, -86, -98, -122, -128, 
##     -148, -159, -176, -182, -199, -233, -241, -233, -235, -226, 
##     -217, -218, -211, -197, -182, -178, -192, -187, -184, -184, 
##     -160, -150, -137, -149, -142, -133, -121, -117, -108, -86, 
##     -79, -82, -63, -73, -74, -86, -82, -84, -74, -87, -82, -86, 
##     -24, 407, 423, 424, 437, 425, 403, 400, 389, 385, 375, 343, 
##     352, 345, 346, 358, 360, 403, 409, 410, 417, 428, 422, 411, 
##     407, 389, 366, 362, 367, 362, 348, 337, 333, 338, 338, 329, 
##     342, 330, 332, 345, 340, 350, 355, 366, 383, 382, 372, 376, 
##     376, 384, 384, 387, 394, 395, 393, 390, 379, 372, 362, 365, 
##     364, 364, 358, 360, 365, 341, 331, 321, 301, 293, 279, 286, 
##     277, 276, 276, 268, 269, 271, 267, 277, 273, 272, 269, 270, 
##     268, 280, 298, 298, 339, 341, 355, 376, 407, 419, 415, 413, 
##     404, 412, 389, 394, 382, 366, 361, 346, 353, 335, 336, 326, 
##     339, 336, 352, 344, 344, 355, 363, 362, 355, 366, 373, 377, 
##     391, 401, 401, 408, 275, 292, 285, 301, 311, 294, 341, 353, 
##     356, 365, 368, 390, 404, 411, 411, 424, 439, 430, 418, 416, 
##     406, 386, 368, 357, 364, 351, 341, 341, 332, 334, 333, 329, 
##     340, 338, 343, 350, 356, 360, 364, 368, 378, 390, 388, 392, 
##     398, 391, 392, 387, 394, 392, 383, 373, 370, 383, 361, 363, 
##     363, 365, 378, 378, 373, 355, 355, 355, 355, 371, 371, 295, 
##     278, 275, 281, 272, 268, 271, 262, 264, 267, 270, 274, 277, 
##     283, 275, 303, 320, 325, 338, 353, 361, 357, 381, 375, 375, 
##     384, 394, 385, 402, 396, 413, 404, 411, 403, 403, 407, 404, 
##     399, 374, 367, 360, 350, 344, 334, 328, 297, 291, 278, 279, 
##     265, 271, 280, 281, 286, 287, 293, 288, 294, 296, 298, 300, 
##     316, 320, 342, 367, 389, 407, 418, 418, 452, 442, 436, 443, 
##     401, 399, 387, 366, 354, 346, 340, 339, 342, 350, 354, 357, 
##     377, 373, 379, 383, 391, 403, 421, 418, 392, 384, 378, 385, 
##     380, 357, 367, 355, 336, 304, 303, 259, 247, 246, 256, 252, 
##     247, 265, 265, 275, 274, 293, 305, 309, 317, 346, 392, 399, 
##     414, 427, 423, 424, 447, 437, 433, 424, 422, 393, 343, 332, 
##     313, 305, 308, 301, 310, 331, 343, 344, 360, 358, 372, 391, 
##     402, 397, 398, 395, 387, 378, 384, 379, 371, 364, 371, 358, 
##     350, 363, 338, 334, 289, 271, 255, 252, 250, 240, 245, 249, 
##     259, 279, 282, 283, 280, 299, 303, 307, 323, 347, 370, 396, 
##     422, 443, 415, 405, 415, 408, 407, 396, 383, 373, 374, 367, 
##     363, 363, 363, 367, 367, 367, 367, 364, 364, 372, 360, 342, 
##     295, 298, 284, 280, 268, 261, 255, 264, 268, 270, 284, 296, 
##     316, 326, 366, 369, 398, 401, 416, 429, 431, 451, 435, 418, 
##     411, 409, 385, 352, 347, 337, 338, 343, 346, 361, 370, 375, 
##     375, 377, 379, 386, 383, 387, 399, 411, 408, 405, 411, 411, 
##     411, 396, 396, 387, 373, 372, -27, -26, -28, -25, -22, -29, 
##     -17, -23, -24, -22, -22, -28, -18, -39, -40, -40, -59, -71, 
##     -75, -75, -75, -64, -60, -60, -56, -71, -57, -57, -49, -57, 
##     -49, -49, -43, -45, -45, -42, -33, -43, -22, -26, -21, -36, 
##     -36, -40, -37, -37, -41, -51, -57, -56, -68, -75, -61, -69, 
##     -68, -68, -52, -52, -37, -28, -35, -18, -24, -17, -22, -21, 
##     -18, -22, -11, -13, -22, -23, -35, -40, -52, -56, -58, -61, 
##     -53, -62, -50, -50, -54, -48, -54, -54, -43, -42, -30, -28, 
##     -23, -23, -27, -22, -6, 15, 0, -8, -9, 0, -11, -6, -13, -26, 
##     -31, -42, -61, -80, -79, -87, -85, -69, -68, -68, -33, -41, 
##     -32, -17, -15, -23, -12, -33, -35, -12, -9, 5, 0, 1, 6, 5, 
##     -8, -10, -10, -2, -15, -8, -51, -48, -58, -59, -58, -52, 
##     -47, -25, -15, 1, -8, -6, -4, -5, 5, -6, -15, -7, -13, -22, 
##     -29, -28, -31, -39, -37, 7, -7, -8, -8, -13, -13, -30, -31, 
##     -32, -30, -28, -24, -34, -38, -27, -33, -27, -25, -31, -16, 
##     -28, -11, -20, -11, -11, 2, -3, -2, 5, -1, 0, -2, -14, -11, 
##     3, -20, -15, -25, -18, -30, -39, -37, -36, -27, -23, -28, 
##     -28, -19, -35, -13, -24, -16, -10, -4, -7, -1, 15, -7, -8, 
##     3, 0, 2, -5, 5, -7, 1, -9, -8, -13, -15, -20, -28, -16, -8, 
##     -18, -20, -16, -25, -26, -41, -41, -42, -54, -60, -72, -67, 
##     -67, -75, -77, -51, -61, -52, -49, -38, -45, -41, -37, -45, 
##     -8, 2, -6, -7, 12, -6, -13, -14, -26, -34, -38, -32, -24, 
##     -34, -33, -46, -50, -74, -85, -96, -88, -102, -95, -95, -94, 
##     -80, -83, -84, -66, -82, -87, -68, -85, -77, -68, -71, -62, 
##     -72, -83, -80, -79, -72, -71, -78, -79, -68, -63, -72, -67, 
##     -56, -94, -83, -108, -103, -105, -105, -95, -108, -115, -122, 
##     -131, -137, -126, -126, -122, -81, -82, -89, -90, -81, -68, 
##     -75, -59, -63, -44, -39, -32, -21, -2, -7, -8, 13, -2, 8, 
##     9, 30, 11, 32, 24, 22, 14, 10, 16, 6, -30, -56, -75, -86, 
##     -75, -77, -78, -77, -73, -80, -71, -78, -68, -71, 11, 7, 
##     14, 13, 18, 29, 12, 36, 13, 30, 19, 27, 16, 12, 8, 8, 6, 
##     14, 17, 10, 22, 25, 34, 48, 52, 39, 41, 40, 73, 76, 73, 78, 
##     79, 76, 94, 82, 86, 86, 84, 90, 94, 93, 92, 90, 109, 96, 
##     95, 91, 96, 102, 91, 97, 95, 104, 103, 102, 102, 101, 100, 
##     105, 103, 106, 107, 106, 111, 91, 123, 114, 107, 117, 101, 
##     98, 107, 101, 123, 108, 126, 117, 124, 123, 121, 116, 131, 
##     124, 133, 131, 141, 138, 137, 143, 138, 145, 144, 133, 132, 
##     140, 132, 124, 141, 130, 128, 124, 116, 107, 91, 83, 84, 
##     -56, -58, -62, -72, -62, -71, -76, -71, -82, -93, -90, -96, 
##     -87, -89, -85, -93, -84, -81, -76, -75, -74, -66, -64, -59, 
##     -54, -45, -45, -48, -47, -35, -46, -53, -44, -46, -53, -41, 
##     -45, -31, -47, 33, 49, 54, 40, 40, 52, 44, 48, 40, 38, 46, 
##     59, 42, 49, 53, 40, 45, 42, 51, 46, 52, 53, 42, 46, 43, 44, 
##     43, 39, 43, 46, 44, 29, 23, 32, 10, 10, -8, -38, -34, -32, 
##     -42, -49, -51, -46, -49, -41, -32, 5, -1, 15, 24, 36, 38, 
##     53, 50, 47, 49, 49, 42, 26, 35, 33, 32, 39, 38, 38, 30, 17, 
##     22, 25, 47, 50, 65, 61, 68, 65, 67, 81, 87, 80, 82, 70, 64, 
##     58, 62, 51, 67, 73, 84, 93, 73, 74, 74, 59, 65, 58, 71, 58, 
##     65, 52, 49, 55, 61, 65, 64, 62, 45, 51, 44, 42, 45, 51, 58, 
##     61, 73, 59, 61, 75, 85, 81, 93, 97, 94, 98, 100, 98, 85, 
##     72, 61, 54, 60, 56, 65, 71, 74, 85, 50, 58, 55, 55, 73, 59, 
##     59, 71, 50, 61, 71, 92, 77, 69, 58, 62, 57, 55, 56, 54, 76, 
##     66, 73, 70, 72, 73, 90, 105, 89, 82, 83, 71, 49, 59, 66, 
##     86, 92, 78, 91, 91, 101, 103, 100, 96, 111, 113, 120, 118, 
##     120, 112, 109, 104, 94, 98, 91, 95, 90, 89, 82, 68, 70, 71, 
##     89, 79, 79, 73, 63, 60, 61, 81, 103, 103, 110, 112, 114, 
##     111, 120, 105, 100, 100, 74, 81, 82, 77, 78, 76, 68, 65, 
##     75, 67, 66, 63, 67, 62, 70, 62, 56, 56, 66, 63, 77, 83, 83, 
##     82, 82, 85, 86, 132, 119, 127, 136, 145, 146, 144, 140, 143, 
##     120, 105, 120, 103, 112, 96, 107, 112, 125, 117, 128, 112, 
##     97, 100, 88, 90, 94, 88, 109, 111, 102, 102, 98, 100, 90, 
##     116, 111, 136, 130, 116, 95, 94, 95, 108, 122, 128, 159, 
##     160, 90, 86, 81, 95, 94, 97, 99, 112, 106, 99, 102, 86, 72, 
##     86, 103, 121, 115, 139, 142, 128, 136, 134, 146, 139, 134, 
##     129, 126, 119, 115, 111, 103, 72, 78, 76, 87, 74, 60, 65, 
##     70, 67, 46, 56, 55, 54, 58, 60, 63, 70, 92, 97, 120, 136, 
##     133, 136, 134, 136, 128, 129, 120, 131, 122, 116, 126, 112, 
##     112, 107, 107, 104, 93, 90, 88, 89, 93, 92, 80, 73, 71, 84, 
##     78, 82, 76, 65, 69, 69, 69, 75, 97, 108, 105, 120, 108, 107, 
##     116, 109, 124, 115, 115, 122, 123, 126, 128, 119, 120, 131, 
##     114, 101, 97, 100, 117, 109, 109, 104, 104, 110, 130, 115, 
##     123, 136, 135, 156, 155, 140, 145, 140, 114, 122, 106, 105, 
##     112, 106, 116, 115, 112, 99, 115, 106, 107, 114, 113, 104, 
##     103, 119, 114, 109, 104, 108, 105, 96, 93, 90, 91, 91, 87, 
##     88, 100, 91, 96, 105, 103, 113, 117, 125, 121, 130, 131, 
##     142, 131, 129, 129, 125, 135, 121, 122, 121, 117, 83, 79, 
##     88, 85, 86, 86, 90, 88, 88, 86, 89, 88, 87, 80, 84, 105, 
##     84, 87, 85, 75, 87, 88, 71, 77, 75, 75, 74, 152, 147, 162, 
##     168, 185, 179, 176, 177, 184, 181, 192, 189, 184, 165, 168, 
##     167, 170, 148, 140, 136, 125, 128, 118, 97, 100, 105, 95, 
##     87, 89, 86, 87, 82, 82, 88, 88, 81, 81, 95, 86, 85, 92, 87, 
##     87, 86, 89, 84, 91, 96, 85, 93, 92, 85, 78, 82, 78, 77, 73, 
##     93, 81, 75, 80, 89, 83, 85, 81, 86, 84, 85, 90, 89, 111, 
##     117, 131, 125, 145, 131, 136, 158, 146, 150, 147, 163, 146, 
##     147, 148, 164, 165, 156, 162, 164, 173, 166, 170, 171, 114, 
##     123, 113, 127, 116, 114, 119, 118, 116, 111, 114, 110, 122, 
##     115, 93, 100, 97, 95, 100, 106, 91, 110, 101, 104, 114, 126, 
##     131, 136, 164, 161, 154, 156, 158, 156, 169, 160, 167, 92, 
##     86, 96, 99, 92, 99, 101, 100, 118, 107, 109, 127, 117, 107, 
##     111, 113, 124, 126, 114, 108, 115, 112, 115, 109, 107, 103, 
##     106, 94, 98, 94, 93, 94, 91, 93, 87, 95, 83, 94, 101, 89, 
##     92, 102, 105, 119, 122, 137, 148, 152, 151, 162, 154, 142, 
##     153, 145, 144, 145, 151, 149, 145, 161, 155, 156, 159, 152, 
##     163, 176, 166, 166, 171, 165, 160, 162, 145, 135, 131, 116, 
##     94, 88, 72, 80, 67, 78, 68, 76, 65, 65, 64, 76, 73, 69, 83, 
##     82, 89, 79, 80, 85, 84, 84, 88, 80, 85, 88, 90, 80, 75, 83, 
##     88, 76, 79, 62, 74, 63, 61, 60, 68, 75, 73, 76, 78, 71, 77, 
##     84, 88, 110, 104, 114, 125, 127, 128, 129, 132, 139, 135, 
##     144, 140, 138, 135, 135, 138, 147, 139, 134, 137, 142, 140, 
##     137, 145, 145, 159, 151, 150, 161, 153, 164, 154, 153, 158, 
##     158, 152, 153, 147, 118, 119, 104, 100, 98, 91, 91, 84, 92, 
##     69, 76, 78, 81, 77, 72, 70, 65, 67, 92, 89, 75, 75, 81, 75, 
##     87, 70, 73, 81, 82, 62, 80, 67, 71, 70, 67, 70, 71, 79, 72, 
##     77, 73, 93, 92, 89, 101, 100, 112, 122, 122, 168, 166, 172, 
##     161, 165, 169, 186, 174, 174, 184, 167, 170, 164, 180, 165, 
##     163, 146, 140, 137, 122, 122, 107, 96, 113, 97, 177, 175, 
##     186, 190, 184, 188, 181, 171, 170, 153, 128, 120, 119, 114, 
##     121, 112, 132, 120, 83, 74, 69, 78, 71, 83, 65, 73, 85, 90, 
##     95, 98, 109, 134, 120, 120, 132, 141, 123, 134, 141, 141, 
##     139, 141, 149, 138, 148, 145, 142, 144, 139, 152, 126, 129, 
##     140, 139, 131, 138, 152, 156, 157, 158, 156, 153, 150, 144, 
##     144, 113, 101, 99, 101, 90, 96, 93, 97, 93, 92, 91, 98, 107, 
##     98, 100, 105, 109, 94, 98, 95, 88, 90, 108, 111, 102, 129, 
##     -13, -27, -14, -24, -14, -21, -14, -1, -5, -6, 17, 5, 12, 
##     13, 11, 20, 14, 19, 27, 30, 35, 34, 36, 31, 31, 24, 17, 18, 
##     20, 23, 14, 11, 9, 13, 0, 3, -13, -18, -22, -17, -20, -28, 
##     -23, -39, -35, -37, -47, -50, -169, -176, -176, -167, -169, 
##     -148, -167, -166, -164, -157, -155, -167, -161, -150, -154, 
##     -169, -165, -165, -170, -166, -167, -176, -160, -161, -160, 
##     -163, -159, -153, -154, -160, -151, -151, -157, -146, -148, 
##     -158, -150, -150, -142, -152, -142, -139, -147, -151, -135, 
##     -159, -153, -151, -157, -154, -160, -152, -154, -152, -143, 
##     -151, -146, -143, -151, -149, -150, -153, -147, -142, -140, 
##     -144, -137, -139, -135, -137, -130, -131, -134, -148, -137, 
##     -138, -144, -151, -142, -145, -147, -140, -128, -135, -144, 
##     -124, -129, -137, -142, -154, -147, -160, -168, -163, -169, 
##     -164, -158, -176, -159, -164, -163, -154, -141, -133, -127, 
##     -122, -114, -115, -108, -109, -110, -106, -98, -114, -116, 
##     -108, -104, -100, -82, -92, -87, -69, -79, -65, -65, -84, 
##     -74, -73, -86, -100, -95, -90, -104, -93, -93, -114, -111, 
##     -110, -101, -102, -100, -89, -96, -85, -91, -86, -70, -64, 
##     -60, -56, -56, -46, -59, -42, -56, -54, -59, -72, -58, -68, 
##     -73, -86, -68, -87, -86, -84, -92, -95, -83, -103, -89, -97, 
##     -87, -78, -79, -79, -77, -75, -73, -77, -79, -87, -100, -96, 
##     -93, -78, -87, -92, -96, -95, -94, -78, -75, -80, -76, -79, 
##     -63, -69, -66, -49, -51, -39, -37, -33, -47, -39, -35, -37, 
##     -26, -25, -18, -24, -24, -31, -41, -29, -76, -69, -64, -78, 
##     -72, -99, -92, -56, -72, -53, -36, -49, -38, -45, -39, -40, 
##     -44, -44, -39, -49, -55, -57, -51, -40, -56, -44, -52, -39, 
##     -47, -48, -47, -47, -45, -52, -30, -25, -11, -25, -15, -14, 
##     -12, -8, -8, -9, -11, 5, -1, 0, -5, -18, -19, -9, -16, -18, 
##     -17, -35, -36, -40, -37, -47, -61, -53, -60, -60, -66, -69, 
##     -72, -71, -78, -73, -80, -75, -82, -85, -88, -89, -85, -74, 
##     -87, -77, -73, -80, -73, -49, -61, -66, -48, -56, -44, -46, 
##     -41, -55, -49, -64, -69, -72, -73, -68, -57, -65, -78, -66, 
##     -62, -59, -59, -62, -60, -55, -52, -49, -44, -26, -40, -38, 
##     -28, -25, -21, -30, -36, -31, -33, -30, -39, -43, -36, -38, 
##     -34, -40, -18, -40, -38, -37, -45, -40, -48, -62, -60, -65, 
##     -70, -63, -64, -62, -57, -55, -67, -66, -63, -69, -60, -55, 
##     -67, -66, -71, -66, -69, -55, -59, -78, -73, -58, -76, -71, 
##     -75, -76, -63, -48, -39, -42, -54, -47, -46, -56, -50, -74, 
##     -61, -73, -77, -81, -88, -85, -90, -86, -68, -90, -72, -81, 
##     -66, -39, -48, -45, -48, -52, -51, -58, -58, -57, -54, -70, 
##     -71, -71, -56, -64, -67, -54, -68, -55, -74, -62, -66, -78, 
##     -68, -81, -60, -72, -65, -72, -57, -73, -75, -66, -63, -66, 
##     -56, -63, -59, -45, -37, -40, -35, -48, -58, -58, -58, -58, 
##     -58, -58, -58, -58, -58, -58, -58, -58, -58, -58, -58, -58, 
##     -58, -58, -58, -58, -58, -58, -58, -58, -58, -58, -58, -74, 
##     -73, -84, -76, -83, -71, -79, -79, -68, -77, -85, -80, -77, 
##     -80, -74, -74, -73, -77, -83, -60, -72, -83, -70, -70, -81, 
##     -70, -71, -79, -76, -88, -85, -92, -85, -84, -88, -79, -82, 
##     -82, -86, -93, -86, -74, -74, -78, -79, -74, -73, -73, -71, 
##     -75, -75, -78, -79, -79, -79, -90, -85, -91, -85, -94, -96, 
##     -102, -105, -106, -107, -106, -101, -70, -57, -68, -52, -55, 
##     -51, -39, -59, -66, -62, -75, -78, -70, -71, -60, -73, -67, 
##     -71, -72, -61, -53, -64, -60, -51, -60, -48, -55, -34, -35, 
##     -39, -31, -35, -19, -10, 3, -7, -8, 1, -9, -21, -7, -23, 
##     -28, -32, -29, -19, -37, -45, -38, -43, -40, -47, -48, -54, 
##     -44, -53, -68, -73, -87, -85, -85, -84, -90, -96, -92, -100, 
##     -114, -109, -110, -111, -106, -98, -80, -79, -75, -75, -63, 
##     -59, -57, -57, -51, -48, -39, -31, -37, -36, -42, -37, -36, 
##     -44, -49, -47, -44, -46, -53, -40, -31, 47, 34, 51, 38, 44, 
##     -49, -55, -56, -47, -55, -52, -52, -48, -42, -36, -38, -40, 
##     -24, -22, -21, -19, -29, -25, -24, -9, -20, 14, 21, 15, 19, 
##     22, 33, 35, 43, 30, 30, 37, 28, 48, 33, 39, 35, 44, 47, 48, 
##     39, 34, 39, 39, 36, 36, 39, 35, 40, 40, 35, 37, 37, 42, 39, 
##     43, 48, 41, 47, 42, 58, 47, 52, 46, 52, 51, 51, 58, 53, 51, 
##     52, 65, 54, 52, 49, 48, 64, 50, 54, 55, 53, 54, 53, 68, 54, 
##     55, 56, 65, 54, 55, 63, 74, 64, 81, 74, -58, -58, -58, -58, 
##     -56, -65, -66, -66, -61, -74, -74, -74, -73, -73, -73, -73, 
##     -73, -75, -82, -67, -80, -76, -71, -78, -57, -72, -55, -63, 
##     -54, -48, -50, -39, -44, -29, -37, -36, -40, -41, -43, -36, 
##     -48, -42, -32, -45, -47, -43, -32, -47, -56, -53, -68, -62, 
##     -73, -65, -61, -60, -63, -57, -59, -46, -58, -56, -54, -65, 
##     -72, -89, -109, -93, -111, -106, -113, -107, -97, -104, -93, 
##     -89, -56, -62, -55, -44, -53, -32, -39, -49, -37, -47, -54, 
##     -78, -173, -179, -166, -182, -177, -180, -185, -193, -185, 
##     -190, -189, -193, -191, -193, -180, -178, -175, -165, -149, 
##     -169, 123, 111, 123, 103, 112, 138, 146, 149, 138, 125, 110, 
##     110, 116, 116, 119, 120, 105, 117, 117, 110, 152, 156, 159, 
##     150, 157, 144, 125, 122, 115, 108, 106, 107, 111, 110, 111, 
##     102, 113, 112, 114, 118, 119, 107, 108, 106, 87, 86, 100, 
##     93, 96, 89, 98, 91, 95, 93, 76, 80, 66, 71, 64, 63, 70, 82, 
##     71, 85, 68, 60, 65, 71, 111, 112, 114, 111, 125, 129, 129, 
##     136, 127, 43, 40, 47, 54, 94, 91, 89, 70, 68, 49, 57, 71, 
##     67, 83, 76, 75, 68, 60, 46, 38, 35, 34, -39, -28, -14, 14, 
##     10, 16, 21, 22, 25, 23, 42, 31, 35, 41, 32, 46, 30, 31, 43, 
##     33, 36, 29, 36, 30, 31, 30, 29, 34, 29, 27, 381, 387, 387, 
##     387, 387, 387, 387, 387, 387, 387, 387, 387, 387, 387, 387, 
##     387, 387, 387, 387, 387, 387, 387, 387, 387, 387, 387, 424, 
##     426, 405, 406, 384, 349, 333, 326, 339, 344, 350, 350, 357, 
##     358, 384, 370, 371, 370, 377, 381, 379, 399, 403, 414, 397, 
##     411, 410, 409, 372, 376, 434, 443, 435, 451, 438, 423, 418, 
##     422, 412, 405, 370, 360, 348, 342, 330, 331, 325, 336, 345, 
##     406, 399, 406, 387, 389, 383, 375, 368, 369, 360, 372, 349, 
##     350, 340, 331, 320, 305, 308, 286, 285, 260, 263, 250, 244, 
##     247, 272, 264, 328, 322, 309, 295, 299, 295, 276, 272, 273, 
##     275, 277, 281, 288, 277, 286, 310, 331, 338, 360, 373, 366, 
##     370, 371, 381, 399, 397, 385, 393, 391, 403, 394, 406, 392, 
##     378, 379, 373, 371, 353, 341, 336, 336, -82, -100, -102, 
##     -104, -100, -106, -110, -115, -112, -116, -128, -135, -145, 
##     -156, -155, -163, -171, -190, -194, -193, -205, -238, -239, 
##     -245, -245, -250, -245, -248, -244, -220, -225, -232, -202, 
##     -189, -186, -180, -173, -199, -204, -211, -203, -197, -206, 
##     -185, -162, -149, -151, -81, -85, -87, -87, -81, -87, -77, 
##     -82, -85, -111, -125, -123, -129, -142, -142, -151, -165, 
##     51, 51, 79, 72, 58, 62, 61, 54, 70, 67, 53, 45, 56, 45, 56, 
##     53, 55, 52, 52, 55, 39, 39, 37, 40, 37, 36, 42, 41, 42, 57, 
##     43, 61, 48, 42, 49, 62, 57, 55, 55, 55, 56, 64, 71, 71, 72, 
##     -45, -59, -58, -48, -49, -59, -61, -67, -64, -65, -60, -58, 
##     -47, -36, -32, -18, -15, -21, -18, -9, 11, 2, -36, -22, -26, 
##     -27, -20, -22, -16, 1, -1, 18, 8, 9, 9, 8, 2, 1, 8, 13, 12, 
##     -2, -45, -74, -88, -35, -38, -39, -45, -47, -64, -65, -69, 
##     -68, -67, -65, -60, -56, -55, -50, -45, -39, -44, -33, -39, 
##     -31, -41, -24, -10, -48, -39, -41, -40, -42, -42, -44, -45, 
##     -45, -41, -29, -17, -23, -26, -20, -24, -35, -37, -36, -30, 
##     -22, -15, -20, -41, -38, -24, -39, -23, -29, -23, -22, -5, 
##     -9, -10, -6, -6, -7, 0, -6, 4, -11, -9, -27, -34, -38, -20, 
##     -33, -46, -48, -37, -41, -25, -34, -29, -29, -25, -15, -26, 
##     -29, -24, -33, -23, -22, -22, -15, -12, -17, -14, -14, -8, 
##     -16, 2, -11, 6, -8, 5, -27, -20, -37, -17, -17, -18, -28, 
##     -31, -28, -37, -42, -47, -47, -44, -54, -49, -45, -34, -40, 
##     -44, -37, -52, -49, -51, -52, -83, -86, -96, -91, -108, -115, 
##     -114, -124, -116, -119, -115, -118, -125, -128, -128, -128, 
##     -153, -172, -179, -182, -204, -205, -249, -262, -243, -237, 
##     -235, -240, -221, -229, -216, -224, -223, -209, -176, -173, 
##     -174, -189, -188, -167, -161, -147, -140, -128, -107, -114, 
##     -107, -108, -92, -101, -104, -99, -98, -93, -104, -103, -107, 
##     -94, -95, -100, -93, -97, -105, -108, -106, -108, -97, -102, 
##     -117, -133, -133, -143, -163, -147, -135, -129, -131, -114, 
##     -97, -106, -110, -108, -114, -127, -111, -111, -126, -118, 
##     -109, -109, -107, -106, -92, -112, -100, -91, -94, -82, -80, 
##     -73, -50, -50, -36, -34, -30, -23, -23, -19, -16, 0, -9, 
##     3, 1, -4, -8, -14, -18, -23, -11, -18, -23, -35, -28, -22, 
##     -33, -39, -38, -41, -37, -53, -53, -40, -28, -27, -40, -33, 
##     -40, -40, -54, -64, -58, -64, -63, -64, -67, -64, -78, -76, 
##     -77, -70, -73, -71, -76, -59, -63, -69, -64, -61, -31, -27, 
##     -12, -29, -26, -28, -29, -39, -27, -38, -33, -43, -52, -48, 
##     -53, -54, -40, -56, -66, -53, -67, -53, -63, -61, -68, -62, 
##     -61, -57, -66, -70, -78, -70, -67, -65, -60, -57, -53, -58, 
##     -55, -60, -56, -45, -53, -34, -46, -37, -36, -19, -18, -14, 
##     -20, -6, -17, -10, -6, -11, -25, -25, -22, -32, -28, -32, 
##     -35, -29, -33, -34, -35, -36, -36, -42, -49, -60, -58, -70, 
##     -74, -81, -71, -69, -72, -71, -86, -87, -80, -82, -90, -86, 
##     -68, -91, -70, -71, -56, -68, -66, -53, -60, -55, -42, -52, 
##     -49, -53, -33, -47, -33, -38, -39, -40, -43, -41, -36, -43, 
##     -37, -37, -35, -40, -33, -26, -46, -46, -38, -48, -42, -56, 
##     -52, -63, -63, -68, -62, -72, -76, -75, -82, -75, -76, -72, 
##     -70, -67, -67, -58, -58, -58, -64, -63, -58, -55, -51, -43, 
##     -51, -49, -40, -45, -17, -18, -38, -29, -32, -37, -32, -33, 
##     -38, -36, -35, -43, -46, -48, -52, -50, -54, -53, -68, -69, 
##     -59, -63, -79, -65, -70, -74, -71, -68, -78, -77, -77, -70, 
##     -59, -60, -60, -45, -42, -38, -38, -39, -40, -34, -36, -37, 
##     -29, -29, -23, -38, -32, -34, -39, -35, -38, -30, -34, -29, 
##     -28, -31, -41, -42, -42, -45, -40, -35, -39, -58, -64, -64, 
##     -62, -57, -56, -65, -61, -63, 387, 378, 379, 379, 379, 379, 
##     379, 379, 356, 356, 356, 356, 354, 321, 317, 306, 303, 303, 
##     303, 303, 303, 303, 303, 303, 303, 303, 303, 306, 308, 310, 
##     310, 310, 310, 310, 310, 310, 310, 310, 310, 310, 307, 312, 
##     307, 304, 313, 307, 302, 296, 312, 303, 308, 290, 278, 260, 
##     250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 
##     262, 251, 256, 259, 269, 263, 265, 292, 281, 277, 281, 272, 
##     270, 279, 279, 279, 279, 272, 266, 270, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 276, 274, 260, 254, 254, 
##     239, 239, 230, 231, 227, 224, 250, 254, 256, 256, 254, 257, 
##     256, 272, 258, 271, 266, 275, 267, 265, 251, 254, 262, 251, 
##     261, 264, 255, 259, 263, 252, 265, 257, 257, 257, 257, 267, 
##     265, 265, 265, 258, 264, 255, 261, 263, 266, 245, 252, 234, 
##     243, 248, 244, 243, 243, 245, 253, 260, 252, 259, 252, 257, 
##     265, 260, 255, 268, 275, 269, 267, 264, 261, 252, 247, 264, 
##     262, 266, 258, 259, 262, 267, 266, 269, 284, 293, 277, 286, 
##     289, 290, 264, 277, 255, 258, 249, 246, 263, 247, 248, 258, 
##     267, 259, 278, 267, 286, 283, 278, 284, 278, 278, 274, 278, 
##     273, 281, 272, 267, 272, 280, 265, 265, 276, 284, 265, 268, 
##     268, 270, 275, 272, 272, 269, 265, 268, 284, 276, 276, 278, 
##     273, 277, 279, 273, 275, 262, 266, 258, 234, 239, 239, 234, 
##     246, 257, 263, 265, 279, 265, 265, 265, 265, 265, 265, 265, 
##     265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 268, 
##     260, 268, 277, 277, 283, 275, 273, 278, 268, 280, 280, 280, 
##     280, 280, 280, 280, 280, 280, 280, 280, 280, 280, 263, 276, 
##     255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 250, 244, 
##     235, 235, 223, 223, 222, 216, 216, 216, 231, 214, 219, 219, 
##     219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 
##     219, 219, 50, 57, 55, 54, 56, 69, 58, 50, 67, 54, 60, 67, 
##     58, 61, 58, 55, 61, 67, 54, 76, 63, 67, 69, 55, 55, 66, 55, 
##     52, 45, 51, 54, 59, 42, 37, 38, 43, 23, 22, 25, 30, 22, 26, 
##     23, 34, 33, 25, 33, 39, 25, 23, 31, 12, 28, 18, 24, 27, 12, 
##     22, 11, 14, 30, 10, 15, 10, 7, 15, 18, 16, 10, 17, 13, 15, 
##     10, 24, 14, 33, 29, 19, 18, 23, 11, 31, 17, 23, 14, 22, 15, 
##     23, 5, 9, 23, 14, 14, 17, 38, 32, 32, 14, 17, 12, 21, 14, 
##     13, 10, 8, 27, 14, 3, 5, 17, 4, 23, 3, -1, 3, 5, 8, 0, 14, 
##     1, 7, 16, 0, -7, -8, -8, -1, -4, 3, 8, 1, -1, 3, 0, 14, 0, 
##     3, 9, 6, 18, 14, 9, 17, 9, 12, 10, 10, 7, 11, 5, 16, 22, 
##     24, 10, 4, 5, 9, 6, 6, 5, 6, 19, 8, 6, 8, 4, 20, 7, 12, 11, 
##     6, 16, 5, -2, 1, 1, 7, 0, -2, 1, 2, -9, -10, 9, 0, -6, -12, 
##     -4, 3, 0, -2, -7, 3, 4, 1, -3, -1, 4, -3, 9, -7, 3, 7, 3, 
##     9, 0, 8, 10, 8, 19, 0, -3, 1, 4, 5, 0, 4, 4, 11, 11, 10, 
##     9, 23, 15, 23, 10, 13, 8, 14, 4, 13, 7, 1, 1, -1, 3, 16, 
##     8, 5, 18, -1, 5, -1, 8, 6, 10, 8, 25, 2, 1, -5, 6, 8, 3, 
##     8, 24, 15, 19, 20, 23, 25, 31, 12, 35, 21, 16, 30, 15, 10, 
##     9, 11, 13, 8, 5, 14, 5, -3, 5, 6, 9, 8, 10, 12, 9, 9, 11, 
##     23, 7, 14, 25, 27, 27, 16, 15, 14, 21, 18, 20, 18, 15, 21, 
##     9, 19, 20, 30, 13, 18, 21, 15, 12, 5, 5, 9, 17, 5, 7, 10, 
##     5, 12, 12, 14, 7, -9, -9, 3, -10, -6, -4, -8, 0, 9, -1, 17, 
##     38, 25, 29, 10, 31, 19, 11, 10, 22, 18, 8, 4, 13, 7, 16, 
##     20, 13, 12, 11, 27, 23, 10, 12, 9, 11, 14, 11, 8, 11, 14, 
##     23, 19, 19, 28, 25, 31, 20, 11, 20, 25, 14, 8, 27, 10, 6, 
##     6, 7, 9, 3, 2, -1, -11, -13, 3, -9, -2, -3, 1, 8, 4, 3, 8, 
##     0, 1, 13, 0, -8, -3, 0, -10, -7, -9, 5, -9, -8, 3, -5, 17, 
##     7, 19, 10, 7, 21, 29, 5, 7, 18, 14, 17, 9, 13, 5, 9, 10, 
##     13, 7, -2, 5, 4, 18, 24, 8, 19, 15, 15, 4, 19, 22, 86, 91, 
##     97, 101, 123, 132, 148, 138, 147, 151, 140, 149, 139, 134, 
##     129, 108, 118, 122, 116, 120, 122, 125, 116, 125, 114, 115, 
##     129, 112, 97, 116, 90, 88, 83, 85, 88, 127, 119, 139, 131, 
##     134, 137, 143, 150, 144, 147, 146, 141, 137, 153, 148, 141, 
##     140, 155, 143, 145, 136, 140, 145, 126, 127, 124, 132, 134, 
##     129, 131, 138, 136, 132, 134, 129, 129, 126, 129, 128, 144, 
##     134, 141, 130, 136, 138, 136, 148, 138, 141, 137, 149, 144, 
##     146, 146, 140, 138, 130, 121, 124, 132, 124, 121, 112, 116, 
##     116, 110, 107, 106, 129, 111, 115, 105, 105, 102, 101, 115, 
##     103, 104, 98, 89, 98, 107, 90, 93, 92, 92, 99, 90, 100, 84, 
##     87, 101, 97, 104, 101, 100, 94, 83, 88, 92, 83, 83, 89, 88, 
##     85, 86, 85, 84, 88, 75, 81, 88, 90, 78, 78, 82, 79, 82, 86, 
##     78, 80, 80, 82, 79, 84, 88, 90, 97, 90, 88, 79, 85, 79, 100, 
##     93, 89, 93, 95, 81, 84, 82, 83, 89, 72, 67, 68, 65, 65, 73, 
##     71, 78, 74, 81, 86, 86, 83, 87, 73, 86, 87, 87, 85, 94, 89, 
##     88, 84, 100, 84, 90, 85, 75, 83, 87, 79, 83, 96, 80, 79, 
##     87, 74, 72, 74, 77, 76, 77, 79, 68, 68, 70, 68, 81, 83, 79, 
##     80, 86, 96, 82, 80, 88, 88, 90, 86, 88, 99, 83, 86, 93, 88, 
##     99, 95, 97, 96, 77, 82, 86, 85, 84, 80, 86, 83, 85, 81, 83, 
##     89, 79, 81, 79, 78, 82, 79, 99, 95, 94, 90, 77, 88, 90, 95, 
##     82, 91, 84, 99, 82, 81, 95, 88, 94, 86, 96, 83, 82, 81, 81, 
##     78, 80, 73, 76, 66, 61, 64, 62, 71, 70, 62, 73, 85, 76, 70, 
##     71, 74, 70, 85, 89, 81, 84, 80, 77, 80, 80, 86, 82, 81, 86, 
##     75, 72, 83, 60, 63, 69, 48, 56, 52, 58, 42, 58, 61, 46, 44, 
##     44, 45, 61, 57, 53, 60, 56, 75, 66, 79, 71, 69, 67, 72, 77, 
##     66, 55, 72, 55, 59, 43, 42, 47, 57, 56, 43, 43, 47, 43, 42, 
##     37, 37, 47, 39, 38, 42, 43, 51, 46, 54, 70, 60, 59, 68, 68, 
##     67, 74, 79, 72, 79, 80, 72, 73, 74, 66, 75, 80, 68, 63, 61, 
##     66, 74, 66, 64, 54, 55, 62, 48, 53, 50, 49, 66, 58, 57, 61, 
##     60, 64, 63, 69, 77, 69, 81, 78, 81, 71, 76, 73, 83, 74, 75, 
##     78, 82, 70, 70, 78, 64, 77, 73, 81, 87, 77, 72, 74, 71, 61, 
##     71, 75, 66, 79, 69, 63, 61, 65, 66, 76, 85, 78, 81, 83, 92, 
##     95, 96, 99, 91, 100, 93, 107, 103, 101, 101, 104, 100, 105, 
##     104, 105, 106, 120, 114, 110, 128, 121, 110, 109, 114, 115, 
##     129, 133, 114, 116, 119, 133, 119, 114, 120, 121, 120, 126, 
##     128, 135, 135, 123, 123, 134, 130, 131, 125, 123, 115, 106, 
##     104, 115, 98, 91, 106, 96, 105, 128, 125, 142, 129, 126, 
##     119, 112, 108, 99, 104, 102, 116, 129, 157, 152, 155, 142, 
##     114, 96, 97, 95, 99, 96, 93, 92, 86, 100, 106, 99, 101, 117, 
##     125, 126, 146, 141, 141, 141, 138, 135, 122, 118, 118, 124, 
##     130, 140, 141, 138, 140, 132, 145, 123, 133, 132, 130, 140, 
##     139, 137, 136, 155, 141, 151, 150, 144, 154, 142, 147, 159, 
##     153, 143, 140, 143, 151, 143, 145, 147, 141, 145, 152, 156, 
##     139, 150, 146, 130, 135, 150, 136, 139, 139, 138, 136, 140, 
##     138, 138, 147, 144, 149, 152, 145, 150, 150, 152, 150, 146, 
##     156, 165, 150, 123, 118, 81, 72, 60, 70, 66, 162, 147, 145, 
##     145, 148, 145, 146, 142, 148, 147, 144, 149, 154, 153, 161, 
##     169, 166, 170, 172, 165, 167, 160, 32, 27, 24, 22, 27, 38, 
##     25, 35, 28, 29, 25, 25, 28, 20, 21, 17, 20, 17, 9, 8, 19, 
##     10, -10, -15, -19, -24, -38, -27, -38, -44, -40, -32, -15, 
##     -16, -5, 16, 49, 60, 51, 70, 68, 73, 81, 87, 90, 90, 89, 
##     96, 97, 89, 97, 93, 92, 83, 88, 84, 86, 86, 84, 82, 85, 89, 
##     90, 89, 82, 90, 89, 79, 74, 78, 77, 84, 85, 85, 92, 87, 91, 
##     98, 99, 98, 105, 115, 109, 112, 122, 107, 111, 105, 104, 
##     95, 89, 100, 99, 62, 61, 62, 65, 72, 68, 65, 61, 80, 64, 
##     64, 72, 70, 85, 66, 75, 77, 91, 80, 85, 78, 74, 78, 83, 81, 
##     76, 86, 85, 93, 77, 89, 87, 99, 89, 99, 95, 86, 93, 105, 
##     101, 90, 96, 101, 87, 85, 75, 82, 77, 87, 79, 75, 76, 79, 
##     74, 69, 67, 65, 63, 63, 62, 62, 59, 57, 47, 49, 46, 43, 40, 
##     40, 31, 30, 30, 36, 30, 37, 36, 36, 31, 30, 53, 41, 36, 29, 
##     38, 41, 47, 48, 49, 57, 48, 54, 56, 62, 52, 56, 59, 63, 64, 
##     58, 76, 57, 58, 55, 64, 76, 73, 69, 64, 59, 73, 73, 65, 60, 
##     64, 62, 57, 70, 58, 60, 25, 33, 34, 32, 32, 41, 26, 39, 43, 
##     28, 32, 45, 40, 36, 41, 38, 40, 36, 39, 38, 42, 48, 40, 36, 
##     44, 44, 53, 58, 52, 63, 59, 65, 60, 62, 63, 69, 74, 69, 75, 
##     76, 73, 75, 71, 72, 83, 74, 77, 78, 80, 94, 78, 80, 72, 69, 
##     70, 80, 68, 75, 76, 76, 64, 62, 64, 69, 56, 56, 55, 49, 50, 
##     48, 53, 35, 53, 49, 42, 41, 46, 56, 57, 56, 62, 56, 48, 58, 
##     55, 53, 55, 46, 54, 57, 53, 69, 59, 56, 67, 61, 69, 72, 77, 
##     77, 62, 79, 68, 69, 64, 73, 65, 76, 91, 80, 75, 71, 74, 67, 
##     65, 55, 72, 54, 45, 49, 55, 47, 48, 40, 42, 38, 38, 46, 39, 
##     45, 34, 40, 47, 28, 31, 39, 25, 29, 36, 25, 32, 43, 29, 31, 
##     39, 38, 27, 47, 49, 43, 34, 32, 48, 30, 37, 45, 36, 37, 47, 
##     31, 36, 45, 49, 38, 52, 43, 52, 67, 49, 53, 46, 51, 62, 48, 
##     48, 50, 48, 59, 41, 36, 36, 45, 38, 32, 34, 31, 40, 32, 36, 
##     31, 34, 34, 36, 50, 42, 33, 41, 39, 40, 48, 36, 39, 46, 47, 
##     48, 59, 53, 63, 57, 61, 57, 56, 77, 80, 79, 82, 78, 86, 85, 
##     89, 88, 82, 84, 97, 82, 74, 73, 66, 67, 67, 59, 80, 61, 69, 
##     66, 58, 55, 66, 51, 44, 54, 45, 51, 47, 39, 38, 43, 37, 37, 
##     38, 36, 37, 40, 46, 42, 45, 37, 42, 48, 36, 57, 52, 40, 63, 
##     52, 45, 56, 56, 51, 65, 68, 54, 66, 79, 81, 81, 84, 77, 83, 
##     95, 77, 83, 74, 80, 72, 79, 69, 68, 66, 79, 63, 76, 64, 66, 
##     64, 64, 66, 67, 76, 62, 56, 56, 43, 41, 33, 34, 34, 40, 34, 
##     34, 37, 35, 37, 55, 44, 44, 42, 50, 39, 64, 63, 51, 52, 53, 
##     51, 44, 59, 55, 58, 50, 45, 49, 61, 47, 58, 60, 60, 56, 60, 
##     65, 61, 74, 73, 70, 79, 67, 73, 78, 73, 74, 68, 60, 64, 65, 
##     76, 65, 53, 58, 67, 75, 68, 75, 65, 77, 74, 67, 59, 62, 55, 
##     64, 56, 62, 72, 61, 59, 71, 61, 65, 57, 60, 48, 53, 51, 52, 
##     54, 49, 39, 28, 32, 41, 27, 34, 103, 96, 90, 92, 87, 93, 
##     84, 90, 77, 77, 76, 66, 65, 62, 67, 72, 68, 68, 67, 75, 73, 
##     70, 61, 63, 62, 53, 69, 61, 65, 145, 148, 130, 108, 64, 42, 
##     51, 42, 29, 13, 13, 2, -8, -5, -8, -2, -6, 0, -2, 0, 32, 
##     37, 35, 85, 88, 86, 89, 80, 79, 84, 81, 74, 66, 69, 76, 66, 
##     85, 89, 113, 138, 139, 150, 153, 168, 171, 78, 70, 75, 74, 
##     85, 82, 75, 80, 81, 88, 89, 90, 86, 95, 93, 100, 91, 89, 
##     102, -33, -29, -26, -16, -22, -10, -13, -9, -14, 6, 1, 13, 
##     27, 21, 16, 17, 27, 20, 7, 4, 7, 4, 10, 5, 2, 2, 19, 2, 15, 
##     10, 7, -4, 4, 1, 9, 5, 2, -4, 12, -1, -6, -2, 7, 5, 3, 6, 
##     1, 10, 2, 17, 9, 8, 7, 9, 2, 11, 6, 10, 0, 10, -4, 0, -3, 
##     -3, 16, 8, 1, 15, 0, 2, -4, -5, -4, -7, 8, 5, -11, -10, -3, 
##     -7, -13, -13, -5, -3, -15, -5, -14, 0, -9, -12, -10, -8, 
##     -8, -9, -10, -9, -15, -6, -4, -11, -16, -12, -2, -18, -15, 
##     -13, -4, -7, 7, -3, -4, -6, 2, -4, 0, 2, 5, 5, 2, 1, 0, 16, 
##     5, 5, 18, 4, 6, 1, 4, -3, 8, -2, 8, -2, 16, 2, -2, 2, -14, 
##     6, -15, 5, -11, -14, -14, -11, -12, -11, -21, -7, -17, -13, 
##     -22, -11, -19, -23, -20, -24, -24, -19, -30, -9, -11, -19, 
##     -20, -23, -8, -10, -14, -9, -15, -8, -7, 0, -6, -7, -7, -11, 
##     -3, -3, 3, -4, 2, 13, 1, 10, 0, 1, 9, -19, -22, -23, -26, 
##     -23, -26, -16, -15, -19, -12, -12, -11, -4, -22, -2, -27, 
##     -13, -23, -21, -22, -25, -23, -19, -24, -18, -16, -15, -13, 
##     -14, -14, -1, 2, -22, 1, -7, 1, -11, -13, -17, -15, -6, -7, 
##     -16, -12, -15, -15, -1, -5, -23, -12, -25, -17, -22, -22, 
##     -7, -22, -6, -25, -12, -16, -10, -5, -20, -16, -16, -25, 
##     -27, -24, -22, -29, -16, -16, -8, -14, -25, -24, -14, -13, 
##     -16, -12, -6, -13, -12, -21, -17, -21, -18, -17, -5, -15, 
##     -19, -25, -24, -23, -33, -24, -32, -31, -34, -38, -36, -22, 
##     -34, -34, -34, -28, -27, -21, -34, -26, -23, -25, -28, -24, 
##     -32, -23, -23, -33, -19, -23, -30, -21, -14, -23, -30, -32, 
##     -27, -31, -15, -30, -26, -24, -28, -22, -27, -24, -19, -21, 
##     -20, -21, -14, -10, 3, -8, -11, -17, -20, -21, -14, -16, 
##     -15, -13, -18, -16, -17, -18, -9, -15, -15, 2, -10, -16, 
##     -15, -17, -20, -17, -21, -24, -30, -24, -30, -26, -24, -26, 
##     -39, -33, -35, -26, -30, -10, -2, -2, -2, -2, -2, -2, -2, 
##     -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 
##     -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 
##     -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 
##     -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 
##     -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -11, -14, 
##     -16, -12, -12, -8, -12, -14, -16, -6, -15, -14, -8, -16, 
##     -11, -10, -16, -16, -19, -14, -2, -9, -15, -2, -12, -21, 
##     -23, -14, -26, -20, -19, -22, -18, -23, -24, -16, -15, -16, 
##     -15, -12, -19, -10, -8, -2, -7, -2, -10, -17, -2, -14, 2, 
##     -13, -11, 3, -7, -11, -7, -9, -16, -19, -14, -16, -23, -18, 
##     -4, 18, 11, 19, 22, 28, 13, 21, 10, 17, 14, 13, 12, 24, 7, 
##     18, 13, 19, 11, 7, 9, 20, 20, 14, 16, 5, 2, 122, 124, 115, 
##     125, 139, 129, 145, 147, 146, 120, 134, 128, 125, 129, 126, 
##     125, 146, 134, 132, 130, 135, 136, 149, 145, 143, 138, 135, 
##     137, 125, 128, 143, 127, 132, 124, 130, 96, 100, 109, 107, 
##     102, 105, 96, 104, 97, 98, 94, 99, 89, 89, 89, 91, 83, 90, 
##     91, 94, 89, 89, 88, 90, 85, 99, 283, 280, 277, 264, 262, 
##     256, 261, 279, 265, 280, 273, 273, 273, 268, 274, 269, 267, 
##     269, 228, 228, 228, 228, 228, 228, 228, 228, 231, 231, 224, 
##     234, 228, 228, 231, 232, 236, 233, 235, 242, 244, 246, 249, 
##     258, 258, 261, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 
##     275, 275, 275, 275, 275, 275, 275, 275, -42, -50, -45, -49, 
##     -64, -69, -73, -86, -90, -88, -69, -77, -78, -79, -69, -63, 
##     -76, -68, -64, -68, -78, -72, -79, -74, -76, -72, -71, -67, 
##     -56, -60, -59, -65, -61, -46, -43, -29, -33, -34, -21, -24, 
##     -25, -21, -30, -39, -27, -31, -29, -43, -49, -46, -50, -33, 
##     -64, -57, -62, -56, -54, -59, -63, -60, -56, -53, -40, -44, 
##     -50, -39, -22, -33, -28, -29, -24, -25, -7, -26, -27, -64, 
##     -65, -68, -61, -62, -62, -55, -52, -57, -50, -55, -50, -46, 
##     -47, -48, -30, -47, -40, -41, -41, -31, -35, -62, -64, -51, 
##     -57, -64, -72, -62, -59, -71, -65, -75, -66, -71, -70, -67, 
##     -75, -72, -75, -80, -74, 8, 10, 16, 24, 18, 25, 10, 11, 19, 
##     11, 25, 26, 19, 13, 12, 11, 23, 17, 23, 22, 5, 11, 23, 13, 
##     12, 25, 27, 13, 20, 28, 11, 27, 3, 9, 3, 6, 9, 6, 6, 2, 21, 
##     0, 24, 7, -1, 14, -7, -4, -2, -5, 0, 3, -10, -10, -12, -4, 
##     -6, -12, -2, -6, -8, -4, -9, -12, -15, -10, -21, -12, -19, 
##     -22, -27, -32, -26, -26, -22, -11, -20, -15, -5, 4, -7, 8, 
##     -14, -13, -13, -20, -22, -15, -13, -9, -12, -10, 5, 10, 2, 
##     -6, -4, 9, 13, -5, 12, -3, -8, -11, -4, -5, -19, 0, -21, 
##     -16, -25, -23, -25, -32, -31, -30, -16, -14, -8, -12, -8, 
##     -21, -8, -5, -15, -13, -20, -13, -17, -3, -24, -27, -32, 
##     -20, -27, -22, -15, 10, 7, 17, 8, 6, -1, -6, -13, -1, -14, 
##     -18, -36, -31, -32, -24, -24, -26, -14, -35, -31, -36, -30, 
##     -23, -28, -28, -13, -13, -16, -11, -17, -2, -21, -21, -21, 
##     -10, -14, -13, -8, 7, -3, -1, -1, -4, -6, -10, 4, 2, -5, 
##     -8, 0, -4, -3, -10, -7, 1, -2, 1, -3, 3, 1, 8, -60, -62, 
##     -73, -59, -64, -68, -65, -46, -49, -64, -55, -58, -52, -57, 
##     -56, -46, -24, -16, -29, -27, -33, -28, -28, -28, -35, -24, 
##     -35, -24, -31, -42, -33, -35, -39, -43, -49, -56, -55, -50, 
##     -56, -66, -63, -71, -66, -63, -83, -76, -71, -73, -54, -69, 
##     -72, -71, -72, -69, -66, -61, -67, -65, -40, -25, -33, -33, 
##     -34, -19, -43, -40, -34, -45, -57, -56, -57, -54, -57, -64, 
##     -57, -73, -74, -83, -75, -74, -82, -76, -74, -73, -71, -61, 
##     -66, -70, -71, -61, -67, -54, -64, -53, -55, -42, -54, -48, 
##     -51, -45, -34, -23, -32, -25, -24, -33, -33, -41, -40, -31, 
##     -32, -30, -36, -42, -47, -56, -49, -48, -52, -53, -48, -59, 
##     -61, -62, -66, -73, -75, -69, -80, -84, -68, -78, -86, -129, 
##     -93, -87, -87, -83, -88, -91, -88, -93, -73, -83, -75, -66, 
##     -69, -59, -71, -72, -72, -73, -71, -71, -74, -75, -76, -71, 
##     -68, -63, -77, -70, -78, -77, -78, -79, -77, -79, -97, -101, 
##     -119, -141, -123, -120, -97, -100, -98, -86, -95, -90, -90, 
##     -81, -77, -85, -92, -88, -70, -87, -78, -82, -68, -70, -66, 
##     -72, -66, -69, -72, -63, -74, -66, -70, -71, -78, -71, -89, 
##     -89, -76, -76, -66, -76, -75, -67, -73, -83, -74, -61, -68, 
##     -70, -81, -80, -77, -83, -88, -89, -92, -94, -100, -106, 
##     -122, -133, -147, -177, -176, -168, -178, -146, -148, -124, 
##     -115, -118, -112, -111, -106, -87, -91, -99, -87, -98, -100, 
##     -88, -90, -88, -77, -92, -85, -91, -99, -96, -87, -74, -86, 
##     -79, -78, -80, -68, -82, -125, -111, -108, -103, -100, -90, 
##     -82, -103, -108, -106, -97, -103, -104, -104, -103, -101, 
##     -102, -89, -78, -89, -88, -88, -93, -81, -87, -90, -78, -83, 
##     -80, -80, -82, -84, -85, -93, -121, -120, -128, -128, -127, 
##     -166, -157, -162, -150, -145, -153, -140, -126, -105, -112, 
##     -108, -95, -99, -92, -98, -83, -81, -78, -93, -94, -88, -81, 
##     -90, -93, -82, -85, -82, -80, -78, -73, -72, -75, -77, -64, 
##     -68, -72, -71, -60, -73, -69, -61, -66, -66, -83, -82, -134, 
##     -149, -149, -149, -151, -148, -133, -111, -112, -72, -69, 
##     -71, -84, -87, -75, -93, -79, -89, -90, -85, -96, -87, -89, 
##     -87, -84, -86, -84, -68, -81, -79, -72, -82, -42, -43, -49, 
##     -53, -47, -44, -30, -21, -22, -29, -31, -37, -44, -37, -46, 
##     -56, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -49, -49, -50, -59, -69, -58, 
##     -70, -73, -82, -80, -84, -80, -79, -77, -71, -74, -59, -44, 
##     -54, -52, -50, -34, -39, -51, -40, -44, -50, -47, -49, -56, 
##     -59, -47, -49, -48, -53, -55, -58, -55, -53, -50, -42, -47, 
##     -39, -40, -36, -51, -41, -36, -42, -36, -40, -29, -27, -39, 
##     -39, -40, -43, -50, -57, -55, -62, -72, -60, -69, -80, -79, 
##     -81, -86, -81, -90, -92, -92, -85, -81, -69, -58, -60, -63, 
##     -52, -56, -60, -48, -60, -60, -56, -60, -58, -59, -43, -44, 
##     -59, -68, -56, -69, -60, -55, -63, -57, -59, -56, -38, -57, 
##     -48, -46, -48, -55, -56, -42, -51, -61, -65, -60, -57, -50, 
##     -49, -57, -61, -68, -57, -72, -67, -71, -81, -83, -91, -79, 
##     -89, -84, -85, -63, -58, -58, -67, -46, -64, -72, -51, -56, 
##     -58, -53, -52, -51, -48, -47, -34, -49, -44, -38, -25, -44, 
##     -37, -32, -47, -39, -54, -55, -57, -65, -70, -74, -58, -55, 
##     -52, -40, -33, -32, -41, -40, -28, -36, -38, -38, -30, -26, 
##     -29, -35, -37, -26, -23, -46, -44, -26, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 219, 
##     219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 
##     219, 238, 219, 229, 233, 251, 246, 254, 258, 261, 271, 264, 
##     264, 284, 264, 269, 284, 275, 283, 271, 276, 264, 248, 248, 
##     248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 248, 248, 248, 248, 248, 139, 131, 104, 93, 
##     95, 117, 125, 154, 173, 226, 234, 247, 292, 312, 347, 374, 
##     383, 396, 404, 420, 422, 431, 421, 417, 410, 410, 423, 417, 
##     412, 415, 410, 412, 400, 396, 377, 336, 323, 313, 315, 307, 
##     306, 287, 274, 284, 253, 253, 253, 222, 215, 210, 199, 239, 
##     230, 216, 210, 221, 183, 172, 118, 118, 103, 108, 104, 121, 
##     189, 194, 191, 220, 232, 257, 263, 271, 298, 316, 328, 354, 
##     363, 349, 373, 385, 413, 408, 423, 417, 422, 430, 425, 423, 
##     421, 418, 428, 422, 396, 393, 375, 387, 362, 365, 340, 338, 
##     294, 296, 293, 289, 237, 226, 232, 216, 197, 194, 152, 138, 
##     132, 126, 140, 153, 154, 163, 196, 206, 224, 221, 239, 255, 
##     247, 276, 318, 327, 349, 351, 366, 370, 389, 400, 411, 422, 
##     418, 417, 414, 416, 426, 419, 424, 418, 423, 393, 366, 362, 
##     342, 335, 327, 331, 315, 315, 315, 315, 312, 309, 309, 281, 
##     281, 281, 281, 275, 275, 275, 260, 248, 228, 216, 215, 206, 
##     199, 192, 182, 119, 147, 151, 187, 203, 194, 207, 239, 254, 
##     282, 297, 324, 360, 366, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 375, 
##     375, 304, 310, 306, 311, 316, 316, 311, 311, 311, 317, 312, 
##     314, 309, 313, 316, 309, 309, 302, 305, 310, 8, 24, 12, 28, 
##     9, 15, 4, 12, 4, 1, -6, -3, -8, 3, -4, -8, -2, -3, 12, 3, 
##     17, 1, 2, 17, 9, 9, 10, 12, 2, 4, 0, -8, -6, -7, -11, -13, 
##     -11, -9, -10, -15, -10, -6, 4, -1, 2, -5, -1, 5, 12, 1, -5, 
##     -9, 3, -12, -11, -18, -25, -31, -48, -50, -41, -39, -30, 
##     -29, -12, -9, 1, 6, -5, -6, -10, -5, -3, -4, -6, 8, -16, 
##     5, -9, -22, -14, -12, -15, -8, -25, -2, -15, -9, -1, -5, 
##     -7, -10, -4, -7, 8, -8, 1, -8, -7, 2, -13, -10, -7, -6, -12, 
##     -5, -9, -16, -31, -19, -27, -32, -36, -37, -35, -45, -28, 
##     -38, -38, -25, -28, -7, -18, -1, -8, -6, 3, 0, -11, -21, 
##     -30, -26, -26, -33, -29, -24, -22, -22, -23, -1, -20, -12, 
##     -16, -14, -19, -10, -23, -19, -6, -15, -16, -26, -25, -26, 
##     -27, -44, -45, -39, -35, -44, -40, -32, -14, -23, -14, -1, 
##     -16, -16, -18, -19, -17, -22, -25, -19, -27, -25, -26, -15, 
##     -11, -9, -11, -10, -6, -5, -13, -6, -11, -22, -22, -29, -38, 
##     -36, -28, -40, -32, -18, -11, -12, -14, -7, -11, -11, -10, 
##     -8, -12, -11, 7, -12, -9, -10, -11, -19, -18, -7, -20, -14, 
##     -13, -15, -9, -11, -4, -3, -9, -12, -18, -20, -23, -22, -20, 
##     -27, -7, -4, -14, -16, -19, -17, -13, -1, -7, -11, -15, -15, 
##     -10, -12, -11, -3, -5, -12, -13, -2, -19, -13, -21, -19, 
##     -8, -18, -19, -22, -22, -32, -28, -32, -21, -24, -14, -26, 
##     -24, -3, -12, -12, -15, -17, -23, -27, -21, -19, -13, -32, 
##     -29, -16, -22, -28, -8, -6, -1, -8, 164, 151, 154, 140, 156, 
##     153, 144, 152, 146, 150, 149, 144, 147, 144, 152, 149, 144, 
##     141, 137, 128, 116, 109, 112, 113, 116, 125, 111, 120, 108, 
##     113, 102, 101, 108, 100, 104, 100, 103, 104, 103, 102, 101, 
##     95, 100, 105, 91, 96, 100, 95, 90, 92, 95, 91, 91, 93, 93, 
##     96, 82, 90, 84, 84, 84, 92, 82, 77, 87, 83, 85, 78, 76, 95, 
##     88, 75, 76, 84, 82, 77, 80, 78, 72, 77, 77, 80, 89, 76, 74, 
##     81, 74, 78, 74, 87, 90, 105, 89, 94, 108, 94, 98, 103, 108, 
##     105, 100, 103, 113, 108, 108, 103, 105, 118, 113, 119, 130, 
##     121, 131, 106, 105, 103, 114, 90, 104, 86, 88, 85, 84, 86, 
##     91, 96, 98, 106, 108, 115, 103, 99, 95, 92, 88, 86, 84, 83, 
##     89, 98, 90, 92, 88, 97, 91, 91, 87, 92, 86, 82, 83, 89, 94, 
##     93, 110, 100, 99, 108, 92, 102, 97, 92, 93, 100, 93, 109, 
##     101, 111, 116, 99, 100, 96, 96, 96, 96, 100, 100, 105, 103, 
##     92, 87, 88, 85, 85, 81, 86, 83, 83, 81, 83, 93, 91, 90, 95, 
##     103, 83, 106, 100, 106, 93, 111, 106, 112, 105, 109, 100, 
##     100, 109, 105, 96, 99, 87, 82, 89, 76, 90, 68, 68, 78, 61, 
##     52, 56, 60, 58, 74, 81, 79, 70, 63, 65, 68, 88, 73, 77, 93, 
##     93, 94, 80, 84, 82, 83, 84, 81, 87, 72, 67, 69, 78, 81, 72, 
##     73, 70, 86, 80, 85, 87, 96, 95, 99, 98, 100, 120, 115, 112, 
##     132, 117, 129, 128, 134, 131, 136, 125, 134, 123, 124, 116, 
##     96, 112, 91, 113, 102, 110, 126, 107, 118, 104, 114, 103, 
##     104, 104, 116, 100, 104, 110, 99, 105, 95, 106, 91, 98, 94, 
##     90, 92, 97, 105, 97, 103, 110, 99, 120, 102, 101, 92, 87, 
##     94, 99, 93, 112, 118, 120, 121, 111, 104, 112, 104, 104, 
##     93, 97, 83, 98, 92, 91, 83, 86, 97, 81, 101, 86, 90, 84, 
##     91, 98, 107, 104, 105, 102, 99, 113, 108, 102, 110, 120, 
##     111, 119, 132, 130, 114, 113, 110, 110, 102, 106, 116, 108, 
##     99, 101, 117, 104, 114, 111, 116, 107, 105, 106, 106, 115, 
##     111, 117, 107, 102, 102, 101, 105, 101, 119, 109, 106, 106, 
##     110, 107, 105, 110, 107, 129, 123, 108, 108, 101, 103, 103, 
##     104, 92, 93, 95, 93, 96, 84, 89, 99, 96, 111, 92, 100, 95, 
##     94, 92, 100, 89, 103, 90, 89, 94, 88, 94, 100, 104, 90, 99, 
##     95, 62, 51, 56, 59, 63, 60, 57, 71, 53, 59, 59, 48, 49, 48, 
##     52, 49, 40, 41, 35, 42, 92, 81, 81, 90, 81, 90, 75, 84, 68, 
##     65, 60, 74, 66, 66, 67, 78, 80, 56, 62, 58, 56, 43, 37, 35, 
##     37, 38, 36, 32, 32, 34, 38, 36, 37, 52, 41, 44, 49, 40, 60, 
##     59, 64, 59, 63, 56, 52, 68, 69, 84, 72, 77, 81, 82, 79, 82, 
##     73, 72, 85, 66, 69, 68, 70, 67, 66, 62, 63, 19, 18, 26, 35, 
##     47, 36, 38, 46, 32, 18, 19, 25, 27, 12, 13, 25, 10, 26, 7, 
##     9, 30, 45, 45, 50, 39, 40, 45, 46, 44, 37, 33, 29, 36, 39, 
##     24, 24, 25, 39, 47, 45, 52, 61, 69, 64, 65, 62, 66, 53, 59, 
##     58, 63, 61, 74, 64, 65, 66, 59, 53, 62, 51, 63, 43, 41, 28, 
##     34, 26, 32, 27, 30, 24, 32, 32, 24, 25, 40, 32, 39, 47, 45, 
##     53, 63, 65, 57, 62, 48, 55, 67, 68, 53, 50, 69, 40, 40, 40, 
##     47, 36, 40, 32, 46, 39, 57, 46, 49, 60, 54, 58, 65, 76, 66, 
##     65, 62, 76, 76, 70, 65, 67, 64, 56, 63, 63, 59, 67, 76, 63, 
##     65, 72, 65, 62, 56, 54, 55, 59, 53, 59, 44, 41, 53, 57, 41, 
##     31, 50, 40, 45, 39, 37, 43, 29, 40, 29, 24, 22, 23, 23, 31, 
##     27, 20, 23, 37, 28, 31, 37, 46, 39, 37, 40, 51, 47, 48, 45, 
##     52, 47, 43, 44, 55, 57, 53, 54, 57, 58, 54, 62, 59, 64, 58, 
##     50, 46, 49, 49, 53, 46, 50, 54, 47, 47, 63, 54, 52, 59, 63, 
##     61, 47, 52, 60, 48, 51, 41, 49, 52, 50, 49, 57, 56, 56, 60, 
##     62, 68, 57, 55, 57, 53, 56, 55, 55, 56, 53, 58, 59, 56, 62, 
##     72, 64, 65, 56, 57, 55, 68, 55, 62, 65, 56, 61, 67, 83, 83, 
##     66, 84, 80, 74, 77, 72, 68, 63, 60, 65, 55, 57, 58, 53, 54, 
##     55, 57, 56, 54, 59, 74, 49, 64, 55, 53, 53, 55, 49, 41, 50, 
##     52, 45, 53, 46, 49, 67, 51, 46, 68, 66, 50, 61, 51, 48, 39, 
##     48, 43, 53, 45, 54, 55, 68, 47, 53, 53, 47, 48, 49, 64, 78, 
##     68, 74, 64, 69, 62, 64, 68, 81, 59, 70, 71, 72, 64, 62, 66, 
##     65, 64, 67, 68, 61, 78, 12, 8, 17, 22, 6, 13, 10, 10, 9, 
##     25, 23, 25, 15, 30, 21, 13, 19, 20, 27, 19, 13, 15, 12, 22, 
##     27, 29, 23, 28, 61, 52, 61, 53, 59, 50, 38, 17, 1, -6, -5, 
##     -7, -10, -9, -5, 8, 1, 23, 50, 56, 44, 47, 39, 50, 37, 31, 
##     39, 40, 33, 46, 28, 27, 51, 37, 32, 53, 59, 49, 60, 43, 52, 
##     43, 54, 45, 59, 58, 57, 61, 68, 67, 73, 75, 77, 74, 77, 79, 
##     94, 86, 79, 32, 24, 31, 21, 30, 30, 24, 34, 29, 22, 20, 31, 
##     25, 39, 34, 33, 29, 32, -2, -2, -2, -2, -2, -2, -2, -2, -2, 
##     -2, -2, -2, -2, -2, -8, -8, -10, 0, -13, -14, -5, -7, -16, 
##     -15, -15, -17, -10, -26, -24, -24, -26, -22, -27, -24, -24, 
##     -11, -6, -16, -24, -13, -13, -7, -21, -21, -16, -11, -20, 
##     -18, -18, -27, -25, -29, -15, -36, -31, -33, -36, -26, -38, 
##     -39, -39, -39, -39, -39, -35, -37, -38, -26, -27, -27, -36, 
##     -22, -25, -25, -25, -49, -57, -61, -64, -57, -58, -55, -45, 
##     -59, -54, -55, -38, -43, -47, -40, -31, -33, -33, -33, -33, 
##     -33, -33, -31, -31, -34, -30, -30, -33, -33, -33, -33, -33, 
##     -40, -40, -40, -40, -40, -40, -40, -35, -31, -38, -47, -50, 
##     -55, -45, -50, -43, -48, -47, -55, -55, -55, -55, -48, -50, 
##     -37, -39, -41, -46, -38, -21, -20, -28, -25, -37, -30, -34, 
##     -34, -34, -34, -29, -34, -41, -34, -41, -38, -34, -34, -29, 
##     -38, -36, -27, -25, -31, -29, -19, -36, -39, -35, -40, -27, 
##     -31, -40, -34, -27, -40, -40, -33, -33, -33, -33, -33, -33, 
##     -40, -43, -38, -38, -38, -68, -76, -72, -77, -91, -77, -87, 
##     -86, -81, -78, -63, -72, -67, -61, -55, -62, -63, -50, -29, 
##     -29, -29, -29, -29, -29, -29, -29, -48, -48, -48, -48, -48, 
##     -48, -48, -48, -44, -52, -47, -53, -53, -53, -53, -53, -42, 
##     -48, -48, -48, -40, -36, -44, -51, -49, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -41, -29, -29, -29, -47, -47, 
##     -50, -53, -38, -48, -49, -43, -55, -56, -49, -49, -49, -49, 
##     -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, -49, 
##     -49, -49, -34, -34, -37, -37, -52, -46, -47, -49, -40, -51, 
##     -45, -48, -30, -44, -44, -36, -50, -35, -28, -47, -50, -51, 
##     -44, -44, -39, -44, -43, -48, -50, -46, -31, -40, -28, -36, 
##     -39, -37, -36, -42, -41, -24, -29, -9, -12, -12, -19, -16, 
##     -16, -15, -7, -12, -12, -8, -12, -16, -22, -26, -22, -22, 
##     -26, -15, -15, -15, -15, 90, 88, 92, 92, 92, 86, 99, 96, 
##     105, 111, 104, 119, 104, 104, 104, 103, 107, 100, 106, 104, 
##     109, 112, 105, 102, 111, 111, 104, 112, 108, 114, 117, 113, 
##     109, 111, 111, 113, 115, 114, 127, 119, 117, 114, 133, 116, 
##     106, 96, 81, 82, 95, 78, 79, 87, 81, 96, 87, 94, 88, 91, 
##     107, 89, 104, 96, 85, 91, 83, 104, 120, 124, 118, 120, 112, 
##     126, 115, 110, 115, 99, 103, 96, 91, 88, 83, 91, 81, 88, 
##     86, 83, 82, 87, 82, 86, 95, 102, 97, 423, 419, 424, 431, 
##     427, 422, 428, 409, 387, 385, 360, 344, 345, 330, 310, 304, 
##     297, 282, 246, 209, 216, 207, 136, 139, 137, 150, 156, 167, 
##     192, 200, 209, 225, 245, 280, 287, 296, 318, 352, 354, 368, 
##     383, 394, 402, 411, 415, 308, 308, 302, 302, 302, 302, 302, 
##     302, 302, 302, 302, 302, 297, 297, 297, 297, 297, 297, 297, 
##     297, 297, 289, 267, 246, 220, 197, 191, 177, 170, 176, 161, 
##     159, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 377, 
##     374, 360, 359, 359, 362, 341, 341, 340, 340, 340, 337, 337, 
##     314, 308, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 248, 
##     248, 248, 248, 248, -80, -77, -77, -75, -80, -73, -63, -73, 
##     -79, -72, -75, -62, -65, -72, -91, -84, -94, -105, -104, 
##     -118, -111, -141, -145, -140, -133, -133, -100, -108, -120, 
##     -151, -153, -159, -156, -144, -106, -106, -95, -95, -95, 
##     -99, -94, -82, -94, -88, -68, -83, -80, -83, -72, -74, -70, 
##     -78, -69, -74, -74, -71, -82, -85, -102, -114, -109, -130, 
##     -148, -59, -68, -61, -64, -58, -63, -45, -43, -46, -45, -44, 
##     -35, -31, -40, -44, -38, -24, -35, -32, -20, -37, -31, -22, 
##     -34, -12, -19, -16, -20, -9, -19, -18, -20, -13, -10, -16, 
##     -15, -6, -18, -14, -9, -15, -8, -4, 0, 9, -5, -5, -3, -5, 
##     9, -4, -14, 0, -10, -32, -37, -35, -36, -39, -37, -28, -31, 
##     -31, -35, -25, -11, -20, -14, -7, -13, -12, -4, -12, -14, 
##     -14, -20, -20, -16, 275, 285, 292, 284, 278, 280, 276, 279, 
##     280, 286, 274, 279, 286, 279, 286, 296, 273, 286, 277, 295, 
##     282, 284, 296, 288, 278, 276, 291, 278, 275, 281, 268, 274, 
##     272, 280, 282, 291, 288, 294, 298, 294, 298, 111, 102, 110, 
##     0, 13, 13, 43, 47, 82, 118, 158, 159, 155, 160, 173, 163, 
##     148, 146, 147, 139, 136, 142, 139, 124, 117, 122, 120, 111, 
##     108, 119, 128, 134, 139, 136, 132, 137, 134, 134, 133, 135, 
##     138, 129, 120, 106, 121, 85, 78, 82, 69, 67, 71, 80, 71, 
##     68, 49, 38, 31, 30, 47, 30, 40, 37, 37, 41, 52, 59, 63, 85, 
##     97, 99, 112, 152, 156, 164, 160, 153, 143, 132, 124, 124, 
##     116, 89, 89, 93, 99, 98, 108, 104, 121, 120, 122, 117, 129, 
##     125, 122, 125, 120, 117, 109, 114, 91, 90, 75, 76, 95, 77, 
##     87, 84, 87, 87, 80, 98, 95, 90, 99, 93, 98, 93, 85, 78, 93, 
##     88, 85, 84, 96, 87, 102, 99, 84, 80, 78, 84, 86, 103, 111, 
##     123, 146, 140, 144, 145, 157, 160, 183, 176, 170, 146, 129, 
##     133, 115, 120, 107, 110, 102, 102, 12, 16, 4, 10, 4, 3, 3, 
##     -2, 9, -10, -14, -12, -7, 3, 3, 5, 13, 21, 23, 24, 25, 34, 
##     35, 32, 30, 35, 49, 52, 57, 38, 33, 40, 53, 57, 58, 69, 66, 
##     78, 81, 79, 76, 70, 57, 54, -2, -5, -3, -28, -30, -39, -46, 
##     -41, -54, -47, -55, -55, -49, -43, -23, -22, -20, 6, -3, 
##     -6, 4, 15, 8, 16, 14, 13, 15, 12, 18, 25, 27, 15, 24, 22, 
##     21, 30, 22, 35, 30, 38, 56, 39, 45, 42, 42, 39, 47, 47, 63, 
##     57, 52, 71, 87, 92, 99, 88, 75, 76, 71, 73, 55, 55, 63, 42, 
##     36, 35, 28, 13, 10, 6, -6, -10, -9, -16, -24, -45, -40, -59, 
##     -91, -95, -84, -66, -73, -69, -68, -61, -60, -36, -43, -45, 
##     -21, -21, -3, 5, 19, 40, 32, 38, 48, 39, 48, 48, 58, 57, 
##     90, 105, 89, 96, 95, 90, 102, 89, 93, 108, 94, 100, 89, 90, 
##     77, 71, 72, 55, 50, 48, 48, 41, 44, 41, 50, 45, 71, 80, 89, 
##     98, 91, 94, 105, 112, 98, 109, 90, 102, 58, 65, 14, -8, -34, 
##     -48, -85, -109, -117, -113, -128, -114, -92, -57, -46, -34, 
##     -27, -19, 1, 10, 10, 27, 24, 32, 33, 40, 54, 41, 49, 55, 
##     68, 64, 66, 71, 68, 79, 80, 68, 73, 80, 72, 69, 54, 49, 18, 
##     13, 3, -16, -25, -18, -36, -40, -38, -69, -75, -77, -82, 
##     -75, -76, -76, -76, -68, -68, -63, -63, -63, -45, -55, -58, 
##     -58, -51, -40, -46, 135, 134, 125, 113, 110, 104, 101, 82, 
##     66, 62, 51, 52, 34, 1, 8, -10, -13, 0, -19, -9, -26, -25, 
##     -23, -23, -25, -32, -29, -28, -22, -28, -28, -24, -15, -10, 
##     1, 4, 18, 19, 29, 31, 54, 56, 64, 61, 68, 72, 90, 91, 99, 
##     88, 89, 98, 120, 120, 122, 119, 107, 67, 59, 40, 37, 7, 17, 
##     -1, -14, -14, -20, -24, -34, -42, -40, -33, -30, -32, -37, 
##     -31, -20, -8, -4, 16, 41, 60, 65, 66, 89, 90, 129, 150, 147, 
##     170, 179, 184, 184, 183, 190, 183, 188, 181, 181, 188, 120, 
##     105, 117, 104, 106, 86, 84, 76, 61, 55, 47, 21, 8, -6, -1, 
##     7, -9, -19, -19, -26, -35, -27, -39, -47, -48, -49, -39, 
##     -46, -35, -36, -32, -28, -28, -4, 8, 6, 12, 15, 19, 27, 23, 
##     40, 39, 43, 46, 57, 74, 88, 104, 105, 106, 94, 98, 110, 116, 
##     104, 116, 115, 112, 112, 102, 111, 104, 99, 86, 83, 78, 74, 
##     65, 58, 54, 38, 41, 32, -6, -12, -7, -13, -9, -4, -13, -7, 
##     -11, -6, -7, 4, -8, -5, 1, -6, 0, 0, 11, -6, 0, 13, 4, -4, 
##     10, -6, -2, -1, -1, 6, 11, 1, 8, 10, 10, 18, 25, 3, -3, 7, 
##     4, 9, -9, -31, -55, -63, -87, -96, -103, -113, -114, -135, 
##     -137, -149, -162, -166, -169, -177, -185, -175, -183, -171, 
##     -169, -168, -163, -164, -146, -165, -156, -137, -153, -157, 
##     -159, -159, -168, -78, -76, -72, -65, -75, -77, -81, -80, 
##     -101, -118, -121, -121, -126, -121, -138, -136, -139, -140, 
##     -142, -136, -133, -74, -95, -82, -86, -76, -62, -64, -56, 
##     -63, -64, -51, -53, -55, -56, -52, -37, -56, -62, -63, -59, 
##     -67, -66, -59, -63, -68, -77, -103, -114, -115, -111, -114, 
##     -112, -100, -83, -76, -56, -61, -64, -70, -59, -68, -61, 
##     -51, -59, -65, -62, -63, -73, -70, -65, -72, -59, -65, -65, 
##     -65, -54, -47, -64, -51, -57, -61, -53, -66, -60, -64, -59, 
##     -72, -75, -78, -90, -97, -111, -122, -140, -141, -142, -141, 
##     -120, -119, -95, -81, -80, -91, -89, -77, -85, -83, -82, 
##     -84, -78, -85, -71, -70, -74, -61, -76, -85, -62, -65, -68, 
##     -57, -62, -62, -59, -55, -45, -44, -34, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, -31, 
##     -31, -31, -26, -18, -42, -42, -42, -42, -42, -42, -43, -30, 
##     -40, -40, -42, -43, -43, -43, -35, -45, -49, -33, -55, -51, 
##     -56, -39, -53, -42, -37, -33, -38, -31, -41, -28, -33, -40, 
##     -41, -26, -31, -41, -24, -32, -34, -37, -41, -48, -39, -42, 
##     -40, -41, -36, -38, -25, -27, -17, -9, -11, -19, -13, -8, 
##     -7, -5, -7, 5, -2, -6, -5, 3, 5, 21, 7, 5, 0, 15, -3, 6, 
##     -4, -12, 3, -12, -17, -27, -31, -22, -33, -18, -34, -35, 
##     -40, -41, -41, -33, -41, -35, -35, -39, -34, -39, -36, -25, 
##     -37, -40, -27, -32, -30, -26, -5, -29, -23, -26, -21, -28, 
##     -15, -29, -8, -22, -21, -20, -16, -15, -10, 19, 19, 21, 32, 
##     44, 36, 38, 45, 45, 56, 44, 44, 51, 47, 48, 52, 46, 35, 38, 
##     36, 26, 16, 34, 12, 15, 9, 16, 17, 8, 3, 1, -1, -4, -23, 
##     -13, -30, -41, -44, -50, -49, -56, -64, -67, -55, -58, -53, 
##     -45, -63, -59, -59, -59, -45, -48, -42, -27, -21, -14, -3, 
##     2, -3, 0, 12, 11, 11, 11, 11, 11, 11, 11, 2, 10, 19, 1, 1, 
##     -6, 1, -6, 1, -7, -14, -11, -13, -4, -5, -6, -7, -13, -7, 
##     -3, -7, 3, -7, 9, 9, 16, 31, 13, 3, -13, -32, -37, -45, -51, 
##     -48, -40, -39, -45, -39, -55, -46, -43, -48, -51, -37, -41, 
##     -46, -35, -41, -47, -51, -54, -49, -49, -43, -52, -54, -44, 
##     -45, -50, -47, -46, -29, -44, -30, -38, -45, -29, -23, -18, 
##     -7, -6, -4, -7, 3, 4, -7, 0, -7, 4, 0, 0, -10, -16, -16, 
##     -21, -30, -9, -23, -33, -36, -39, -26, -34, -39, -41, -33, 
##     -38, -45, -52, -55, -57, -67, -66, -72, -75, -73, -69, -78, 
##     -69, -63, -67, -64, -61, -61, -57, -70, -58, -49, -49, -53, 
##     -37, -43, -43, -37, -26, -18, -25, -29, -23, -27, -30, -24, 
##     -13, -21, -9, -4, -12, 0, 4, 3, 11, 22, 5, 8, 9, -5, -9, 
##     -12, -13, -10, -8, 5, -6, -7, -3, 0, -8, -2, 2, -7, -8, -27, 
##     -23, -17, -24, -35, -25, -32, -35, -31, -31, -24, -31, -26, 
##     -33, -36, -23, -10, -16, -16, -15, -1, -18, -16, -15, -20, 
##     -13, -18, -10, -14, -18, -23, -17, -21, -10, -14, -1, -4, 
##     -10, -16, 2, -18, -12, -30, -30, -32, -18, -35, -32, -23, 
##     -40, -42, -43, -41, -37, -40, -38, -34, -37, -32, -29, -34, 
##     -31, -28, -27, -23, -37, -27, -28, -24, -24, -11, -26, -22, 
##     -28, -26, -23, -32, -26, -23, -18, -23, -25, -31, -30, -42, 
##     -42, -44, -42, -39, -46, -52, -60, -49, -50, -47, -49, -53, 
##     -59, -41, -29, -33, -34, -43, -39, -23, -7, -20, -18, -12, 
##     -11, -18, -26, -21, -23, -31, -26, -29, -19, -16, -16, -14, 
##     -9, -9, -13, 6, 9, -4, 3, 10, 10, 20, 26, 13, 14, 11, 8, 
##     7, 8, 5, 10, 19, 3, 12, 16, 14, 28, 9, 2, 23, 12, 7, 32, 
##     18, 24, 20, 37, 28, 18, 27, 32, 10, 15, 21, 22, 7, -5, 0, 
##     15, -9, -7, -13, -2, -13, -23, -21, -33, -40, -39, -20, -13, 
##     -16, -5, 4, 15, 16, 9, 31, 36, 35, 35, 39, 38, 44, 41, 49, 
##     40, 48, 50, 51, 62, 60, 46, 54, 46, 45, 47, 45, 37, 32, 23, 
##     24, 19, 21, 16, 12, 14, 16, 26, 14, 19, 28, 7, 10, 26, 37, 
##     54, 50, 42, 53, 47, 45, 44, 57, 40, 47, 32, 35, 36, 39, 30, 
##     32, 40, 28, 34, 36, 39, 31, 29, 21, 18, 308, 309, 311, 305, 
##     307, 301, 307, 300, 309, 310, 300, 289, 298, 268, 261, 265, 
##     252, 246, 232, 235, 237, 240, 266, 270, 306, 323, 341, 372, 
##     403, 401, 408, 405, 415, 404, 421, 402, 398, 394, 387, 374, 
##     382, 363, 373, 353, 339, 345, 350, 336, 319, 319, 300, 296, 
##     301, 294, 301, 303, 334, 348, 337, 351, 349, 374, 392, 393, 
##     390, 392, 390, 392, 397, 395, 410, 389, 396, 392, 370, 368, 
##     357, 355, 356, 342, 333, 346, 334, 316, 304, 295, 299, 308, 
##     373, 359, 364, 357, 330, 340, 328, 316, 324, 313, 309, 317, 
##     307, 307, 324, 340, 336, 348, 389, 382, 383, 389, 392, 386, 
##     373, 383, 381, 396, 398, 385, 386, 407, 384, 395, 393, 379, 
##     388, 377, 376, 375, 369, 362, 361, 366, 355, 351, 353, 340, 
##     330, 312, 319, 310, 304, 306, 313, 310, 329, 332, 334, 355, 
##     377, 381, 384, 376, 389, 385, 383, 379, 383, 392, 383, 394, 
##     393, 383, 383, 400, 396, 394, 376, 395, 358, 377, 366, 358, 
##     370, 348, 342, 341, 342, 346, 336, 350, 336, 334, 332, 332, 
##     325, 342, 347, 358, 353, 366, 377, 373, 374, 380, 388, 371, 
##     367, 377, 378, 378, 372, 380, 377, 383, 374, 372, 370, 382, 
##     383, 375, 375, 362, 363, 360, 361, 356, 361, 363, 343, 357, 
##     339, 341, 352, 335, 338, 345, 356, 338, 364, 355, 363, 378, 
##     387, 390, 382, 380, 372, 359, 360, 357, 389, 369, 375, 373, 
##     389, 380, 376, 378, 376, 373, 379, 369, 376, 372, 371, 373, 
##     353, 352, 344, 336, 347, 326, 342, 356, 359, 353, 355, 359, 
##     361, 363, 388, 377, 371, 373, 369, 358, 356, 362, 377, 373, 
##     373, 378, 388, 380, 389, 375, 373, 373, 363, 368, 364, 368, 
##     381, 375, 389, 375, 378, 376, 376, 369, 377, 386, 368, 370, 
##     366, 367, 363, 352, 363, 351, 359, 351, 344, 350, 344, 343, 
##     353, 349, 358, 362, 371, 371, 388, 377, 384, 402, 406, 388, 
##     392, 397, 390, 377, 382, 375, 374, 376, 380, 374, 383, 380, 
##     389, 390, 393, 381, 403, 392, 385, 389, 384, 380, 387, 391, 
##     377, 378, 378, 375, 383, 368, 367, 385, 367, 371, 380, 380, 
##     380, 366, 366, 366, 366, 359, 359, 359, 359, 353, 337, 327, 
##     327, 327, 327, 327, 310, 303, 303, 303, 303, 303, 303, 303, 
##     303, 303, 283, 282, 275, 271, 274, 277, 277, 276, 278, 271, 
##     265, 265, 274, 271, 264, 283, 283, 298, 279, 281, 277, 281, 
##     279, 282, 281, 273, 278, 279, 275, 279, 281, 280, 286, 280, 
##     275, 286, 286, 286, 286, 98, 96, 100, 95, 93, 100, 93, 91, 
##     95, 99, 92, 98, 95, 85, 85, 80, 78, 78, 89, 78, 74, 73, 96, 
##     86, 82, 86, 103, 98, 105, 117, 111, 119, 111, 89, 89, 80, 
##     87, 65, 85, 66, 61, 64, 55, 59, 59, 49, 59, 55, 44, 58, 45, 
##     51, 45, 48, 52, 52, 56, 68, 54, 69, 57, 58, 52, 54, 54, 67, 
##     57, 55, 62, 60, 67, 75, 65, 57, 78, 57, 57, 63, 62, 73, 76, 
##     65, 71, 67, 65, 73, 65, 71, 78, 65, 67, 60, 61, 82, 76, 64, 
##     71, 64, 69, 72, 72, 72, 67, 90, 72, 79, 87, 79, 76, 80, 79, 
##     82, 90, 96, 86, 87, 102, 90, 94, 89, 85, 82, 89, 88, 104, 
##     99, 86, 98, 110, 97, 94, 92, 103, 93, 103, 89, 90, 100, 84, 
##     72, 77, 89, 87, 80, 85, 89, 106, 114, 98, 154, 167, 176, 
##     171, 172, 168, 181, 169, 170, 180, 178, 175, 194, 183, 177, 
##     119, 104, 36, 32, 40, 17, 5, -5, -9, -15, -17, -8, 18, 15, 
##     42, 52, 84, 86, 112, 144, 151, 164, 155, 163, 164, 173, 183, 
##     170, 168, 166, 126, 73, 70, 57, 55, 58, 56, 58, 41, 48, 42, 
##     53, 56, 73, 75, 77, 69, 96, 77, 90, 94, 97, 101, 106, 130, 
##     128, 119, 116, 114, 106, 112, 110, 116, 132, 129, 109, 96, 
##     87, 65, 72, 52, 31, 28, 14, 17, 8, 11, 15, 24, 10, 8, 15, 
##     12, 12, 23, 21, 21, 39, 55, 49, 52, 59, 63, 65, 81, 89, 101, 
##     108, 116, 117, 119, 124, 116, 128, 127, 125, 122, 118, 119, 
##     123, 110, 107, 94, 85, 73, 78, 78, 73, 78, 69, 85, 67, 64, 
##     65, 63, 77, 79, 80, 80, 83, 84, 79, 76, 88, 100, 118, 121, 
##     117, 126, 116, 119, 128, 91, 139, 155, 136, 147, 162, 150, 
##     149, 153, 168, 151, 161, 153, 131, 128, 117, 101, 100, 94, 
##     73, 80, 71, 83, 83, 71, 81, 92, 94, 107, 134, 118, 135, 135, 
##     132, 137, 140, 148, 146, 102, 113, 111, 129, 149, 168, 163, 
##     169, 170, 160, 143, 123, 106, 87, 54, 144, 137, 159, 168, 
##     163, 147, 144, 138, 140, 109, 100, 80, 73, 66, 57, 67, 42, 
##     36, 39, 32, 33, 25, 30, 14, 18, 22, 59, 52, 64, 67, 121, 
##     142, 151, 155, 158, 164, 171, 172, 164, 169, 161, 118, 114, 
##     104, 63, 61, 72, 79, 68, 60, 63, 62, 63, 64, 62, 63, 53, 
##     63, 79, 62, 62, 69, 69, 80, 76, 57, 66, 59, 57, 53, 51, 58, 
##     65, 46, 59, 58, 49, 48, 51, 46, 49, 49, 54, 54, 63, 61, 58, 
##     76, 63, 60, 78, 70, 78, 67, 83, 73, 72, 65, 64, 69, 64, 71, 
##     68, 67, 71, 62, 60, 60, 78, 69, 66, 63, 80, 71, 65, 60, 67, 
##     78, 67, 66, 61, 74, 55, 63, 54, 53, 44, 51, 50, 52, 56, 53, 
##     55, 44, 39, 46, 37, 45, 47, 47, 41, 38, 45, 49, 54, 42, 68, 
##     59, 56, 54, 63, 47, 64, 52, 52, 50, 40, 47, 43, 42, 41, 42, 
##     41, 59, 47, 48, 46, 40, 52, 42, 43, 45, 40, 34, 43, 39, 32, 
##     38, 37, 40, 40, 44, 45, 40, 37, 44, 40, 39, 37, 29, 34, 26, 
##     18, 21, 31, 23, 23, 40, 45, 50, 50, 56, 53, 66, 52, 57, 56, 
##     58, 54, 52, 49, 49, 52, 48, 50, 54, 52, 50, 54, 53, 61, 52, 
##     45, 40, 47, 51, 52, 48, 56, 44, 41, 34, 36, 37, 31, 36, 33, 
##     33, 30, 47, 27, 32, 46, 32, 29, 33, 22, 13, 17, 18, 31, 23, 
##     32, 27, 28, 37, 33, 33, 34, 43, 36, 40, 47, 54, 57, 59, 70, 
##     77, 61, 67, 66, 71, 50, 44, 7, 4, -32, -29, -22, -29, -26, 
##     -15, -16, -5, 8, -9, -7, 5, -9, -5, -8, -16, -11, -5, -7, 
##     -3, -4, 1, 7, 3, 0, 6, -1, -4, -2, -2, -5, -2, -10, -10, 
##     -12, -17, -15, -14, -24, -9, -20, -10, 1, -13, -7, 10, 11, 
##     16, 16, 18, 33, 37, 33, 25, 22, 20, 17, 28, 7, 9, 16, 1, 
##     5, 3, 6, 10, 23, 21, 29, 32, 35, 34, 32, 41, 46, 57, 58, 
##     71, 86, 82, 104, 114, 125, 120, 143, 126, 126, 130, 123, 
##     123, 116, 114, 111, 102, 103, 97, 80, 77, 83, 79, 77, 83, 
##     71, 79, 69, 69, 60, 17, 12, 8, -1, 6, 15, 12, 22, 39, 38, 
##     55, 60, 69, 79, 88, 90, 101, 124, 135, 152, 144, 163, 144, 
##     143, 137, 132, 134, 136, 129, 115, 108, 110, 108, 124, 111, 
##     96, 109, 113, 119, 130, 140, 142, 164, 163, 182, 166, 165, 
##     171, 155, 132, 130, 126, 112, 112, 104, 102, 99, 94, 100, 
##     87, 79, 85, 75, 85, 93, 90, 91, 95, 88, 75, 69, 72, 67, 62, 
##     65, 72, 73, 62, 59, 71, 78, 100, 108, 114, 124, 121, 128, 
##     117, 123, 136, 145, 148, 138, 146, 158, 173, 161, 140, 117, 
##     121, 72, 57, 55, 41, 48, 110, 119, 131, 139, 140, 148, 163, 
##     162, 159, 169, 162, 165, 150, 141, 132, 128, 132, 133, 96, 
##     98, 88, 113, 98, 94, 111, 102, 110, 122, 123, 149, 136, 153, 
##     146, 147, 146, 143, 135, 129, 126, 126, 127, 112, 114, 100, 
##     97, -5, -9, -2, -4, 7, 1, 0, 14, 34, 40, 36, 39, 37, 33, 
##     26, 25, 15, 12, 11, 6, -84, -78, -58, -36, -22, -5, 9, 23, 
##     27, 19, -12, -49, -43, -43, -42, -28, -25, -8, -16, -9, -11, 
##     15, 13, 9, 25, 18, 22, 35, 24, 18, 31, 18, -40, -57, -9, 
##     -23, -25, -2, -8, -17, -20, 1, -16, -18, -8, -21, -23, -16, 
##     -26, -39, -41, -53, -57, -65, -72, -75, -76, -82, -99, -105, 
##     -106, -114, -82, -86, -84, -97, -75, -38, 0, -12, -7, -20, 
##     -27, -16, -28, -23, -22, -25, -21, -18, -29, -29, -27, -23, 
##     -28, -25, -23, -20, -23, -10, -4, -16, -18, -10, -28, -17, 
##     -15, -2, -18, -10, -19, -36, -36, -33, -46, -47, -33, -56, 
##     -67, -62, -85, -86, -90, -92, -96, -79, -91, -79, -72, -72, 
##     -54, -47, -31, -27, -38, -29, -54, -68, -59, -36, -37, -21, 
##     -34, -20, -18, -127, -114, -106, -82, -89, -74, -61, -61, 
##     -55, -51, -58, -74, -68, -73, -74, -74, -82, -63, -78, -41, 
##     -52, -51, -102, -98, -113, -118, -106, -111, -94, -100, -90, 
##     -73, -68, -28, -16, -11, 1, -10, -30, -44, -58, -61, -64, 
##     -48, -46, -42, -45, -48, -48, -48, -32, -19, -44, -40, -43, 
##     -34, -44, -36, -36, -35, -39, -34, -44, -53, -56, -66, -75, 
##     -75, -41, -25, -43, -17, -26, -13, -37, -36, -24, -44, -64, 
##     -96, -87, -87, -114, -110, -105, -107, -88, -64, -74, -46, 
##     -45, -33, -35, -31, -42, -33, -54, -60, -64, -55, -59, -68, 
##     -58, -59, -64, -66, -62, -60, 93, 85, 76, 84, 84, 77, 74, 
##     71, 84, 62, 69, 61, 55, 64, 73, 79, 73, 84, 91, 90, 106, 
##     105, 114, 121, 104, 114, 107, 113, 115, 112, 113, 107, 105, 
##     104, 102, 118, 104, 106, 102, 104, 102, 96, 98, 102, 100, 
##     115, 101, 98, 111, 108, -38, -25, -33, -18, -26, -21, -18, 
##     -23, -28, -19, -13, -17, -18, -7, -15, -10, -25, -20, -19, 
##     -17, -13, 40, 47, 38, 42, 35, 39, 37, 30, 34, 45, 43, 58, 
##     46, 68, 63, 62, 82, 110, 118, 107, 121, 127, 132, 138, 143, 
##     151, 152, 154, 154, 159, 162, 153, 159, 140, 116, 108, 102, 
##     97, 98, 96, 104, 111, 95, 92, 97, 87, 80, 90, 83, 83, 91, 
##     124, 137, 122, 115, 107, 100, 91, 90, 101, 89, 96, 88, 81, 
##     84, 80, 91, 88, 81, 91, 83, 99, 86, 87, 95, 90, 96, 71, 66, 
##     62, 77, 63, 64, 70, 70, 73, 76, 75, 62, 75, 74, 71, 61, 73, 
##     67, 66, 70, 62, 73, 68, 72, 67, 69, 63, 69, 60, 279, 286, 
##     283, 277, 282, 279, 277, 275, 278, 280, 283, 285, 285, 285, 
##     285, 285, 285, 285, 285, 294, 294, 294, 371, 376, 370, 375, 
##     376, 372, 373, 367, 362, 360, 350, 352, 349, 341, 360, 349, 
##     345, 353, 346, 347, 340, 358, 345, 351, 311, 326, 320, 336, 
##     335, 346, 358, 358, 385, 373, 383, 382, 403, 389, 392, 390, 
##     396, 404, 401, 393, 400, 392, 398, 387, 378, 369, -88, -83, 
##     -82, -113, -110, -107, -92, -47, -43, -49, -63, -64, -71, 
##     -69, -73, -70, -77, -67, -75, -70, -61, -63, -59, -44, -46, 
##     -49, -45, -50, -46, -32, -50, -39, -61, -67, -63, -65, -49, 
##     -58, -54, -51, -38, -36, -42, -36, -40, -54, -52, -56, -52, 
##     -69, -76, -88, -76, -12, -18, -10, -8, 1, -12, -1, -7, -14, 
##     -19, -15, -16, -28, -48, -62, -70, -111, -113, -119, -148, 
##     -138, -137, -59, -74, -70, -68, -87, -89, -106, -107, -92, 
##     -100, -93, -100, -87, -70, -32, -16, -10, -14, -40, -51, 
##     -39, -48, -36, -42, -41, -24, -30, -43, -31, -40, -32, -25, 
##     -40, -36, -40, -40, -41, -43, -53, -46, -47, -54, -56, -70, 
##     -72, -87, -87, -75, -69, -94, -28, -31, -22, -17, -16, -8, 
##     8, 0, 15, 14, 27, 35, 49, 75, 87, 91, 94, 89, 103, 85, 96, 
##     107, 111, 121, 184, 190, 187, 186, 186, 181, 183, 176, 179, 
##     168, 139, 144, 127, 92, 84, 75, 74, 45, 41, 22, 8, -16, -23, 
##     -26, -36, -32, -38, -27, -7, -3, 14, 37, 46, 62, 76, 74, 
##     87, 89, 105, 118, 122, 135, 140, 147, 148, 146, 131, 141, 
##     24, 14, 12, 8, 6, -12, 4, -16, -21, -32, -33, -37, -30, -33, 
##     -23, -17, -30, -16, -12, -4, -10, 5, 9, -1, 7, 38, 38, 44, 
##     49, 134, 134, 123, 117, 135, 163, 146, 166, 180, 172, 189, 
##     185, 36, 44, 29, 42, 26, 24, 12, 1, 8, 0, 7, -9, 0, 2), roll_forearm = c(28.4, 
##     28.3, 28.3, 28.1, 28, 27.9, 27.9, 27.8, 27.7, 27.7, 27.6, 
##     27.5, 27.2, 27.2, 27.2, 27.1, 27.1, 27, 26.9, 26.9, 26.9, 
##     27, 26.9, 27.1, 27.1, 27, 27, 26.9, 26.8, 26.8, 26.8, 26.7, 
##     26.7, 26.7, 26.6, 26.5, 26.4, 26.4, 26.4, 26.4, 26.4, 26.4, 
##     26.4, 26.3, 26, 26, 26, 25.8, 25.5, 25.4, 25, 24.9, 24.9, 
##     24.9, 24.9, 25, 24.9, 24.9, 24.9, 24.9, 25, 25, 25, 25, 24.9, 
##     24.8, 24.8, 24.8, 24.8, 24.8, 24.6, 24.5, 23.6, 23.5, 23.4, 
##     23.4, 23.4, 23.4, 23.4, 23.4, 23.4, 23.5, 23.5, 23.7, 23.7, 
##     23.7, 23.7, 23.6, 23.6, 23.6, 23.6, 23.6, 23.6, 23.6, 23.6, 
##     23.6, 23.6, 23.6, 23.5, 23.3, 23.2, 23.1, 23, 22.8, 22.8, 
##     22.7, 22.7, 22.6, 22.5, 22.5, 22.4, 22.3, 22.1, 22.2, 22.3, 
##     22.3, 22.4, 22.3, 22.1, 22.1, 22.1, 21.9, 21.9, 21.7, 21.5, 
##     21.5, 21.4, 21.4, 21.4, 21.1, 21.1, 21, 21, 20.8, 20.7, 20.6, 
##     20.6, 20.4, 20.3, 20.3, 20.2, 20.1, 20, 19.9, 19.9, 19.9, 
##     19.9, 19.8, 19.8, 19.8, 19.7, 19.5, 19.5, 19.5, 19.4, 19.3, 
##     19.2, 19, 19.1, 19, 19, 19, 19, 19, 19, 83.5, 83.5, 83.5, 
##     83.5, 83.4, 83.3, 83, 83.1, 83.1, 82.9, 82.8, 82.8, 82.8, 
##     82.7, 82.7, 82.7, 82.6, 82.5, 82.5, 82.6, 82.6, 82.7, 82.2, 
##     82.1, 82, 81.9, 81.9, 81.9, 81.9, 81.9, 82, 82, 82.1, 82.2, 
##     82.2, 82.2, 82.1, 82, 82, 81.9, 81.8, 81.7, 81.6, 81.6, 81.6, 
##     81.6, 81.6, 81.7, 81.6, 81.4, 81.3, 80.9, 80.5, 80.5, 80.9, 
##     81, 81.1, 80.7, 80.3, 80.1, 80.1, 80.1, 80.1, 80, 78.9, 78.2, 
##     78, 78, 78.1, 78.2, 78.4, 78.7, 78.9, 79.7, 80.6, 81.5, 81.8, 
##     82, 82.2, 82.2, 82.2, 83.1, 83.4, 83.4, 83.3, 83, 82.8, 82.5, 
##     81.9, 81.6, 80.4, 78.4, 77.6, 77.5, 77.7, 77.7, 77.6, 77.7, 
##     77.7, 77.8, 77.8, 78.1, 78.4, 78.5, 78.1, 77.8, 77.4, 77.3, 
##     77.4, 78, 78.3, 78.6, 78.9, 79.2, 79.4, 79.6, 80, 80.2, 80.6, 
##     81, 81.4, 81.7, 82, 82.5, 82.6, 82.8, 83, 83.2, 83.5, 85.1, 
##     85.1, 84.9, 84.9, 86, 87, 86.7, 85.7, 86.2, 86.5, 86.1, 85.9, 
##     85.7, 85.8, 86, 87.2, 87.7, 88.4, 89, 89.2, 89.3, 89.2, 89.2, 
##     89.2, 89.4, 89.3, 89.3, 89.3, 89.7, 89.3, 89.3, 89.4, 89.6, 
##     90.2, 90.5, 90.7, 90.5, 90.4, 90.4, 90.5, 90.5, 90.4, 90.4, 
##     90.5, 90.5, 90.5, 90.3, 90.2, 90.2, 90.4, 90.7, 91.2, 91.4, 
##     91.2, 91, 90.4, 90.1, 89.9, 90, 90, 89.9, 89.9, 89.9, 89.9, 
##     90, 90.1, 90.3, 90.2, 90.2, 90.2, 90.2, 90.3, 90.3, 90.4, 
##     90.4, 90.4, 90.4, 90.4, 90.3, 90.3, 90, 89.9, 90, 90.1, 90, 
##     120, 146, -134, -123, -116, -113, -112, -111, -111, -111, 
##     -112, -113, -113, -114, -114, -114, -115, -115, -116, -128, 
##     -152, 103, 94.6, 91.2, 89.2, 87.8, 87.4, 87.7, 87.8, 89.8, 
##     89.8, 89.5, 87.9, 87.3, 87.4, 88.1, 89.4, 90.2, 90.9, 91.4, 
##     92.2, 92.5, 92.7, 92.9, 93.1, 93.3, 94.4, 94.6, 94.9, 95.1, 
##     95.3, 95.5, 96.1, 96.5, 97.1, 98.6, 99.5, 102, 103, 105, 
##     107, 109, 112, 159, 179, -162, -149, -128, -125, -124, -121, 
##     -120, -119, -119, -118, -119, -119, -120, -121, -121, -123, 
##     -124, -125, -128, -130, -149, 158, 108, 94.4, 94.2, 94, 94, 
##     93, 92, 91.4, 89.8, 89.5, 89.7, 90.3, 90.6, 90.8, 91.2, 92.1, 
##     92.3, 93, 93.2, 93.4, 93.6, 94.4, 94.7, 94.8, 95.4, 95.6, 
##     95.7, 95.9, 96.5, 96.9, 99.2, 100, 104, 109, 112, 119, 134, 
##     147, 163, 178, 90.7, 90.2, 90.4, 90.8, 90.9, 90.9, 91.1, 
##     91.3, 91.7, 91.8, 91.9, 91.7, 91.6, 94.6, 94.9, 95.2, 95.5, 
##     96.5, 96.9, 96.9, 96.8, 96.5, 96, 95.3, 96.1, 99.2, 101, 
##     105, 106, 114, 119, 127, -179, -137, -124, -123, -123, -122, 
##     -120, -120, -120, -121, -121, -122, -123, -124, -128, -130, 
##     -132, -135, -139, -143, 173, 126, 118, 96.6, 95.3, 95, 95.2, 
##     95.3, 95.4, 95.6, 95.6, 95.9, 96.4, 97.1, 99.8, 99.2, 98.9, 
##     98.8, 98.7, 98.7, 99.2, 99.5, 100, 101, 105, 106, 111, 114, 
##     116, 121, 135, 161, -177, -168, -133, -132, -131, -128, -128, 
##     -129, 102, 102, 103, 103, 106, 106, 106, 107, 107, 108, 109, 
##     115, 120, 122, 133, 138, 151, 160, 176, -177, -170, -157, 
##     -152, -148, -139, -138, -135, -135, -134, 108, 108, 108, 
##     109, 109, 110, 112, 112, 113, 113, 118, 120, 128, 139, 148, 
##     175, -171, -159, -155, -142, -140, -144, -172, -179, 171, 
##     164, 157, 145, 140, 127, -177, -161, -157, -153, -150, -144, 
##     -139, -139, -140, -141, -147, -152, -160, -165, -171, 172, 
##     165, 150, 146, 143, 134, 122, 123, 122, 117, 116, 116, 115, 
##     116, 116, 115, 115, 113, 113, 113, 113, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9.28, -6.82, -4.28, 
##     -2.1, -0.04, 3.12, 10.6, 14.4, 15.4, 16.3, 17, 17.5, 16.9, 
##     16.4, 15.7, 14.8, 14.5, 14.2, 12.8, 9.46, 7.93, 1.48, 0, 
##     -2.61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -178, -179, 180, 178, 
##     176, 175, 175, 174, 174, 174, 173, 173, 173, 172, 172, 172, 
##     171, 170, 170, 170, 170, 169, 169, 169, 168, 168, 168, 167, 
##     167, 167, 167, 166, 166, 166, 165, 165, 164, 164, 164, 163, 
##     162, 162, 161, 161, 161, 161, 161, 160, 160, 159, 159, 159, 
##     159, 158, 158, 158, 158, 157, 157, 156, 149, 149, 148, 148, 
##     148, 148, 148, 148, 147, 147, 147, 146, 146, 146, 146, 146, 
##     145, 145, 144, 144, 143, 143, 142, 141, 141, 140, 140, 140, 
##     140, 140, 141, 141, 141, 140, 139, 139, 139, 139, 138, 138, 
##     138, 138, 138, 138, 138, 138, 139, 140, 141, 144, 148, 159, 
##     -151, -146, -127, -126, -125, -123, -123, -122, -122, -121, 
##     -122, -122, -123, -124, -124, -124, -124, -124, -124, -125, 
##     -125, -126, -126, -126, -127, -127, -128, -128, -129, -130, 
##     -135, -136, -139, -143, -159, -169, -175, -179, 167, 165, 
##     163, 157, 156, 154, 153, 152, 149, 148, 147, 145, 143, 141, 
##     140, 139, 139, 139, 140, 140, 140, 140, 140, 140, 141, 142, 
##     142, 147, 152, 162, -175, -165, -156, -152, -149, -141, -139, 
##     -138, -137, -136, -135, -134, -134, -133, -133, -134, -134, 
##     -134, -134, -135, -136, -136, -134, -134, -130, 145, 144, 
##     143, 144, 144, 144, 144, 145, 145, 146, 146, 147, 148, 148, 
##     149, 153, 154, 157, 165, 171, 174, 177, -176, -172, -169, 
##     -166, -156, -153, -151, -149, -148, -147, -147, -146, -146, 
##     -146, -146, -146, -145, -145, -146, -146, -145, -145, -145, 
##     -145, -146, -149, -151, -155, -157, -159, -164, -167, -173, 
##     -175, -179, 149, 150, 150, 150, 150, 151, 151, 152, 153, 
##     154, 155, 157, 163, 165, 173, -176, -171, -166, -163, -161, 
##     -156, -155, -155, -155, -155, -154, -153, -153, -153, -153, 
##     -152, -152, -154, -158, -160, -179, 177, 175, 173, 172, 168, 
##     167, 166, 164, 161, 160, 160, -173, -175, -178, 175, 173, 
##     170, 168, 168, 166, 163, 162, 161, 160, 159, 159, 159, 159, 
##     158, 157, 157, 156, 157, 157, 157, 158, 158, 158, 158, 158, 
##     158, 157, 157, 158, 158, 160, 161, 163, 166, 168, 170, 172, 
##     178, -180, -178, -175, -171, -168, -167, -166, -165, -165, 
##     -165, -164, -164, -164, -164, -164, -164, -164, -164, -165, 
##     -165, -166, -170, -179, 178, 175, 172, 168, 166, 165, 164, 
##     163, 163, 162, 162, 162, 162, 163, 163, 164, 164, 164, 165, 
##     166, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
##     164, 164, 164, 163, 163, 163, 164, 166, 166, 167, 169, 174, 
##     175, 176, 177, 180, -176, -174, -173, -172, -170, -169, -168, 
##     -168, -168, -168, -168, -169, -169, -169, -170, -170, -172, 
##     -174, -175, -176, -178, -179, 180, 168, 168, 169, 169, 168, 
##     168, 165, 165, 166, 166, 169, 169, 171, 172, 173, 173, 174, 
##     176, 177, 178, 179, -180, -179, -178, -177, -176, -175, -173, 
##     -172, -171, -171, -172, -173, -173, -174, -175, -176, -179, 
##     180, 176, 170, 169, 169, 169, 170, 173, 173, 172, 172, 172, 
##     172, 172, 172, 172, 172, 172, 172, 171, 171, 171, 171, 172, 
##     172, 173, 174, 174, 174, 175, 175, 176, 176, 177, 178, 180, 
##     -179, -179, -178, -177, -177, -176, -175, -174, -174, -173, 
##     -173, -172, -171, -171, -171, -172, -172, -173, -176, -178, 
##     -179, 180, 179, 178, 178, 178, 178, 178, 178, 178, 178, 180, 
##     -180, -179, -178, -177, -177, -177, -177, -177, -177, -176, 
##     -176, -175, -174, -174, -174, -173, -172, -173, -176, -178, 
##     -178, -179, -179, -179, -178, -178, -178, -178, -178, -179, 
##     -180, 179, 178, 177, 176, 176, 176, 175, 175, 174, 174, 174, 
##     174, 174, 174, 174, 174, 173, 173, 174, 47, 46.9, 47.7, 48.2, 
##     46.3, 44, 43.6, 44.2, 43.9, 44.4, 44.8, 45.8, 47.2, 45.5, 
##     45, 44.7, 44.5, 44.4, 44.4, 45.1, 44.8, 44.8, 45.3, 45.7, 
##     46.1, 46.4, 46.8, 47.7, 48.1, 48, 47.4, 47.4, 47.8, 48.2, 
##     49, 48.8, 48.6, 48.7, 48.8, 49, 49.4, 49.6, 49.8, 49.8, 49.8, 
##     49.7, 49.7, 49.7, 49.7, 49.9, 50, 50, 50, 50, 49.8, 49.6, 
##     49.7, 49.6, 49.6, 49.6, 49.6, 49.6, 49.7, 49.7, 49.7, 49.7, 
##     49.7, 49.7, 49.7, 49.7, 49.3, 49.3, 49.2, 49.2, 49.2, 49.2, 
##     49.2, 49.1, 49, 49, 48.9, 49, 49.2, 49.2, 49.2, 49.3, 49.4, 
##     49.4, 49.4, 49.4, 49.3, 49.1, 49, 49.1, 49.4, 49.3, 49.4, 
##     49.4, 49.4, 49.5, 49.5, 49.5, 49.6, 49.8, 49.8, 49.9, 50.1, 
##     50.1, 50, 49.7, 49.7, 49.7, 49.7, 49.7, 49.6, 49.5, 49.5, 
##     49.6, 49.7, 49.6, 49.6, 49.6, 49.6, 49.6, 49.6, 49.5, 49.4, 
##     49.4, 49.3, 49.3, 49.3, 49.3, 49.2, 49.2, 49.2, 49.1, 49.1, 
##     49.1, 48.9, 48.9, 48.8, 48.7, 48.7, 48.8, 48.8, 48.9, 48.7, 
##     48.8, 48.9, 48.9, 49, 49.2, 49.4, 49.5, 49.5, 49.6, 49.7, 
##     49.6, 49.6, 49.6, 49.7, 49.6, 49.6, 49.7, 49.7, 49.6, 49.6, 
##     49.7, 49.7, 49.7, 49.8, 49.8, 49.9, 49.9, 49.8, 49.8, 49.7, 
##     49.7, 49.7, 49.7, 49.7, 49.7, 49.6, 49.6, 49.3, 49.2, 49.4, 
##     49.3, 49.3, 49.3, 49.2, 49.2, 49.2, 49, 48.9, 48.7, 48.7, 
##     48.6, 48.6, 48.6, 48.6, 48.5, 48.8, 48.8, 48.8, 48.9, 49, 
##     49.2, 49.4, 49.6, 49.6, 49.6, 49.9, 50, 50.1, 50.2, 50.2, 
##     50.2, 50.2, 50.1, 50.5, 51.2, 51.5, 51.5, 51, 50.7, 50.6, 
##     50.5, 50.6, 51.1, 51.2, 51.2, 51.2, 51.1, 51, 51, 50.9, 51, 
##     50.8, 50.8, 50.8, 51.2, 51.3, 51.5, 51.3, 51, 50.9, 51, 51.1, 
##     51.3, 51.2, 51, 50.9, 50.8, 50.8, 50.8, 51.4, 51.5, 53, 53.3, 
##     54, 53.5, 52.2, 51.9, 51.8, 52.4, 52.3, 52.4, 52.3, 52.3, 
##     52.4, 52.6, 52.8, 52.9, 52.9, 52.9, 52.9, 52.8, 52.5, 52.5, 
##     52.7, 52.9, 52.9, 53, 53.2, 53.2, 53.3, 53.3, 53.4, 53.8, 
##     53.9, 53.7, 53.6, 53.5, 53.5, 53.6, 53.8, 53.6, 53.6, 53.5, 
##     53.3, 53.2, 53.3, 53.5, 53.5, 53.6, 54, 54.3, 54.7, 54.9, 
##     55.1, 55.2, 55.6, 55.6, 55.6, 55.6, 55.7, 55.8, 55.9, 55.8, 
##     55.8, 55.8, 55.9, 56.2, 56.2, 56.3, 56.4, 56.5, 56.4, 56.5, 
##     56.7, 57.6, 57.4, 57.2, 57.1, 57.2, 57.2, 57.1, 56.7, 56.5, 
##     56.4, 56.1, 56, 55.6, 55.6, 55.6, 55.4, 55.2, 55, 54.9, 54.9, 
##     54.9, 54.8, 54.8, 19, 19, 19, 18.9, 18.9, 18.8, 18.8, 18.6, 
##     18.5, 18.5, 18.5, 18.5, 18.4, 18.4, 18.4, 18.3, 18.3, 18.2, 
##     18.1, 18.1, 18.1, 17.9, 17.4, 17.2, 17.1, 16.8, 16.8, 16.9, 
##     16.8, 16.7, 16.6, 16.3, 16.3, 16.2, 16.2, 16.1, 16.1, 16.1, 
##     16, 16, 16, 15.8, 15.8, 15.7, 15.7, 15.6, 15.5, 15.5, 15.4, 
##     15.3, 15.3, 15.3, 15.2, 15.2, 15.2, 15.2, 15.2, 15.3, 15.3, 
##     15.2, 15, 15, 14.9, 14.8, 14.8, 14.8, 14.7, 14.7, 14.5, 14.4, 
##     14.4, 14.4, 14.2, 14.3, 14.3, 14.4, 14.7, 14.7, 14.5, 14.4, 
##     14.4, 14.4, 14.3, 14.1, 14, 14, 14, 14, 14.1, 14.1, 14, 14, 
##     13.9, 13.8, 13.8, 13.8, 13.8, 13.8, 13.8, 13.9, 13.7, 13.7, 
##     13.6, 13.2, 13.2, 13.1, 13.2, 13.3, 13.3, 13.4, 13.4, 13.3, 
##     13.2, 12.7, 12.5, 12.4, 12.5, 12.6, 12.5, 12.5, 12.5, 12.4, 
##     12.2, 12.3, 12.4, 13.2, 13.4, 13.5, 13.5, 13.5, 13.3, 13.2, 
##     13.1, 13, 12.9, 13, 13, 13.2, 13.2, 13.2, 13.2, 13.3, 13.3, 
##     13.6, 13.6, 13.8, 13.7, 13.8, 13.8, 13.7, 13.6, 13.6, 13.5, 
##     13.5, 13.5, 13.4, 13.3, 13.3, 13.3, 13.2, 13.2, 13.1, 13, 
##     13, 13, 13.1, 13.4, 13.4, 13.3, 13.4, 13.5, 13.7, 13.8, 14.1, 
##     14.2, 14.3, 14.1, 14.1, 14.2, 14.2, 14.3, 14.3, 14.4, 14.3, 
##     14.3, 14.3, 14.2, 14.1, 14, 13.9, 13.5, 13.5, 13.5, 13.3, 
##     13, 13, 13, 13.2, 13.4, 13.8, 14.1, 14.6, 14.8, 15.1, 15.4, 
##     15.7, 16.1, 17.3, 19.2, 20.3, 21.4, 23, 28, 30.2, 38.6, 40.3, 
##     41.9, 44.6, 46, 47.2, 48.2, 52.2, 54.8, 55.8, 56.6, 57.2, 
##     58.2, 58.5, 58.9, 59.3, 59.6, 58.5, 58, 56.6, 51.6, 48.2, 
##     46.2, 41.8, 33.9, 26.1, 23.8, 15, 12, 1.2, -1.03, -2.82, 
##     -4.32, -6.82, -6.6, -6.2, -4.01, -3.03, -2.04, -1.03, 0.02, 
##     0.95, 1.86, 2.86, 4.89, 5.81, 6.71, 8.92, 11.7, 13.2, 14.7, 
##     17.9, 28.3, 32, 33, 35.6, 37.1, 38.5, 39.8, 40.9, 42.7, 44.7, 
##     45.2, 46.6, 47, 46.9, 46.6, 46.5, 46.1, 44.9, 40.3, 39.5, 
##     36.2, 34.8, 32.4, 30.3, 26.7, 25.3, 24.4, 23.5, 22.6, 22.4, 
##     22.4, 23.4, 24.1, 25.3, 27, 29.1, 31.1, 33, 34.5, 39.4, 44.4, 
##     45.2, 46.3, 46.7, 48.1, 48, 45.6, 44.3, 41.2, 40, 38.5, 36.7, 
##     32.4, 12.9, 8.57, 0.84, -1.47, -6.08, -6.41, -5.36, 4.05, 
##     5.8, 7.61, 9.2, 11.8, 14.5, 19.2, 22.5, 25.3, 29.4, 34.9, 
##     38.9, 40, 41.7, 43.3, 43.9, 44.9, 45.8, 46.4, 46.9, 47.8, 
##     48.2, 48.5, 48.6, 48.2, 45.9, 45.1, 43.4, 42.6, 39, 37.5, 
##     39.5, 40.6, 41.8, 45.2, 47, 48.2, 50.1, 50.5, 49.7, 48.1, 
##     45.7, 41.5, 38.2, 33.1, 27.9, 24.7, 21.1, 17.7, -1.86, -4.85, 
##     -7.2, -8.65, -5.52, -3.71, 4.57, 6.76, 10.8, 13.1, 15.5, 
##     24.3, 27.5, 30.2, 32.4, 37.7, 41.8, 43.7, 53.9, 55.3, 57.6, 
##     58.8, 60.8, 61.4, 62.2, 61.5, 61, 60.1, 59.9, 59.8, 59.3, 
##     58.8, 57.8, 57.9, 58.9, 59.3, 59.1, 57.3, 56.4, 53.1, 51.5, 
##     50.8, 48.9, 47.6, 44.6, 43, 41.1, 39.1, 35.3, 32.9, 28.2, 
##     18.4, 14.3, 10, 5.54, 0.74, -4.59, -13.8, -20.1, -22.6, -19.1, 
##     -17.5, -11, -2.83, -0.26, 5.66, 20.4, 23.4, 34.3, 39, 46.7, 
##     54.8, 60.5, 61.5, 16.6, 11.9, 6.97, -14.6, -27.5, -28.7, 
##     -27.3, -23.4, -18.6, -14.9, -10.8, 2.55, 11.5, 35.4, 39.5, 
##     51.2, 55.6, 57.3, 60.1, 61.8, 65.3, 68.7, 70.4, 71.2, 72, 
##     73.6, 74.5, 75.3, 75.3, 75.3, 73.8, 73.6, 73.2, 72.8, 72.4, 
##     72.2, 72.3, 72.4, 72.7, 73.5, 73.8, 73.7, 73.2, 72.6, 72, 
##     71.4, 69.6, 67.9, 66.8, 65.4, 50.8, 48.7, 43.4, 39.9, 31.4, 
##     25.9, 20.5, 14.8, 8.7, 3.02, -10.2, -33.6, -40, -41.4, -40.6, 
##     -38.7, -36.4, -27.2, -22.9, -17.9, -6.58, 10.8, 21.9, 27.5, 
##     33.4, 39.5, 44.9, 49.6, 53.3, 56.1, 58.2, 63.9, 66.4, 68.2, 
##     74.9, 76.6, 77.4, 79.4, 80.5, 81.5, 82.4, 83.1, 83.6, 84.1, 
##     85.9, 85.9, 85.7, 85.4, 85.5, 85.8, 86.2, 86.7, 86.9, 86.9, 
##     86.6, 84.3, 82.5, 80.3, 78.4, 77.3, 75.7, 74, 72.5, 70.9, 
##     64.9, 63, 60.9, 54.6, 47, 19.1, 10.2, -13.7, -55.3, -58, 
##     -60, -59.7, -58.6, -56.8, -54.7, -50.2, -39, -25.3, 8.87, 
##     19.4, 43.9, 66.2, 71.8, 73.4, 74.6, 77.3, 78.5, 79.7, 80.9, 
##     82.7, 83.4, 84.2, 86.1, 88.3, 89.6, 91.9, 92.6, 93.5, 93.9, 
##     94.2, 94.6, 95, 96.8, 97, 97.3, 97.1, 96.8, 95.9, 95.2, 94.3, 
##     91.5, 87.4, 85.7, 84.9, 84.6, 83.9, 78.7, 68.6, 66.9, 64.9, 
##     59, 52.6, 41.6, -4.55, -29.6, -58.2, -63.8, -61.7, -55.1, 
##     -52, -48.7, -40.6, 39.3, 56.8, 63.3, 54.7, 54.6, 54.5, 54.7, 
##     54.7, 54.6, 54.5, 54.5, 54.3, 54.2, 54.2, 54.1, 54, 53.9, 
##     53.9, 54, 54.1, 54.2, 54.4, 54.6, 54.6, 54.6, 54.5, 54.5, 
##     54.9, 54.8, 54.7, 54.9, 54.7, 54.5, 54.3, 54.1, 53.8, 53.8, 
##     54.1, 54.2, 54.3, 54, 53.8, 53.7, 53.7, 53.8, 53.9, 54.2, 
##     54, 53.6, 53.5, 53.7, 53.5, 53.4, 53.3, 53.4, 53.7, 54, 53.8, 
##     53.7, 53.6, 53.5, 53.4, 53.8, 53.3, 53.4, 53.1, 53.3, 53.5, 
##     53.6, 53, 52.9, 52.8, 53.1, 53.2, 53.2, 53.1, 53, 53, 53, 
##     53.2, 53.2, 53.1, 53.1, 53.1, 53.1, 53.2, 53.1, 53, 53, 53, 
##     52.9, 52.9, 53, 53.1, 52.9, 52.8, 52.8, 53.1, 53.1, 53.1, 
##     53.1, 53.1, 53.1, 53.1, 53.2, 53.4, 53.4, 53.1, 53, 53, 53, 
##     53, 52.9, 52.9, 52.8, 52.8, 52.7, 52.7, 52.6, 52.6, 52.6, 
##     52.9, 53, 53, 53, 53.1, 53.2, 53.3, 53.3, 53.2, 53.2, 53.3, 
##     53.3, 53.1, 53, 52.9, 52.8, 52.9, 52.9, 52.9, 52.9, 52.8, 
##     52.7, 52.7, 52.6, 52.7, 52.7, 52.6, 52.5, 52.5, 52.6, 52.5, 
##     52.5, 52.4, 52.3, 52.3, 52.3, 52.3, 52.2, 52.2, 52.3, 52.3, 
##     52, 51.9, 51.8, 51.8, 51.8, 51.8, 51.8, 51.8, 51.9, 51.9, 
##     51.9, 51.9, 51.9, 51.9, 52, 52.5, 52.7, 52.6, 52.5, 52.4, 
##     52.4, 52.4, 52.2, 52.2, 52.4, 52.6, 52.8, 52.9, 53.2, 53.2, 
##     53, 52.4, 52.3, 52.4, 52.4, 52.2, 52.1, 52.1, 52.9, 52.8, 
##     52.8, 52.8, 52.9, 53, 53.1, 53.4, 53.4, 53.5, 53.2, 53.1, 
##     53.1, 53.2, 53, 52.8, 51.9, 51.7, 51.5, 51.4, 50.9, 50.7, 
##     50.2, 49.6, 49.9, 50.3, 50.2, 50.3, 50.4, 50.7, 50.7, 50.7, 
##     50.8, 51.4, 51.7, 51.7, 51.5, 51.3, 51.4, 51.5, 51.9, 52, 
##     52.1, 52.1, 52.1, 52.2, 52.2, 52.2, 52.2, 52.2, 52.1, 52.1, 
##     52, 52, 52, 52, 52.3, 52.4, 52.6, 52.9, 54, 54.7, 55.4, 56, 
##     55.9, 55.6, 55, 54.7, 55.1, 55.3, 55.4, 55.4, 55.4, 55.3, 
##     55.1, 55, 55, 55.1, 55.2, 55.5, 55.5, 55.4, 55.4, 55.4, 55.4, 
##     55.4, 55.5, 55.4, 55.4, 55.4, 55.4, 55.3, 55.3, 55.4, 55.4, 
##     55.4, 55.4, 55.4, 55.4, 55.6, 55.5, 55.7, 55.6, 55.5, 55.5, 
##     55.3, 55.3, 55.3, 55.6, 55.5, 55.4, 55.3, 55.3, 55.3, 55.3, 
##     55.3, 55.3, 55.3, 55.2, 55.2, 55.3, 55.3, 55.3, 55.3, 55.6, 
##     55.7, 55.8, 56.2, 56.1, 56.4, 56.6, 56.5, 56.3, 56, 55.7, 
##     55.4, 55.3, 55.3, 55.3, 55.3, 55.3, 55.1, 54.8, 45.9, 41.7, 
##     34.3, 30, 24.9, 18.5, 9.37, -0.53, -20.7, -27.7, -33.3, -45.7, 
##     -53.3, -56, -59.4, -40.2, -28.5, -15, 16.9, 23.8, 30.6, 37.7, 
##     52.9, 55, 60.4, 64.2, 65.5, 66.3, 66.8, 67, 67, 66.9, 64.6, 
##     64.3, 64.2, 63.8, 63.7, 63.9, 64.3, 65, 65.2, 65.7, 65.7, 
##     65.7, 65.5, 65.1, 64.1, 63.5, 63.5, 63.2, 62.9, 62.3, 56.2, 
##     51.8, 44.8, 39.5, 18.8, 12.1, 3.46, -16.9, -27.1, -63.1, 
##     -61.4, -59.7, -57.1, -54, -44.9, -37.1, 4.26, 26.5, 37.2, 
##     54.9, 61.9, 70.3, 70.8, 70.6, 70.7, 70.7, 69.3, 67.9, 67, 
##     67.3, 67.8, 69.2, 69.5, 69.8, 70, 70.1, 70, 69.7, 69.1, 68.9, 
##     69.3, 69.6, 69.5, 69.1, 68.3, 68, 67.4, 66, 64.8, 55, 48.9, 
##     -47.5, -77.5, -75.8, -23.3, -5.42, 14.4, 46.5, 56, 69.6, 
##     72.6, 78.1, 78.6, 79, 78, 76.9, 75.9, 74.7, 74.4, 74.3, 75.1, 
##     76.1, 78.2, 78.9, 79.1, 79.8, 79.9, 80.2, 81.3, 81, 79, 78.4, 
##     77.1, 76.6, 76.3, 76.1, 76, 74.9, 74.6, 74.1, 74.3, 80.6, 
##     -144, -108, -106, -104, -103, -103, -102, -102, -105, -107, 
##     -110, -161, 108, 94.7, 94.3, 93.3, 92.9, 92.1, 91, 92.1, 
##     92.6, 92.4, 90.6, 90.1, 89.6, 89.5, 90.4, 90.7, 91.1, 93.9, 
##     94.8, 94.8, 94.3, 93.9, 90.8, 88.9, 86.7, 86.1, 85.7, 85.4, 
##     85, 87.2, 94.2, 113, 123, 136, 152, -159, -156, -171, 179, 
##     165, 154, 126, 115, 111, 100, 97.5, 97.4, 97.7, 99.6, 99.8, 
##     99.5, 95.9, 96.2, 96.9, 97.4, 103, 105, 106, 105, 104, 103, 
##     102, 101, 99.7, 98.7, 96.6, 95.7, 94.5, 94.6, 94.6, 94.7, 
##     95.9, 97.3, 101, 103, 108, 111, 122, 130, 162, 168, 173, 
##     172, 167, 153, 138, 131, 126, 122, 105, 102, 101, 100, 100, 
##     101, 102, 103, 102, 104, 105, 107, 108, 112, 115, 118, 118, 
##     118, 118, 115, 114, 113, 112, 110, 109, 108, 104, 102, 101, 
##     100, 100, 100, 100, 100, 101, 101, 102, 103, 104, 109, 113, 
##     116, 131, 141, 141, 138, 135, 131, 114, 111, 105, 104, 104, 
##     105, 107, 107, 111, 112, 113, 115, 120, 121, 122, 122, 121, 
##     121, 120, 120, 118, 112, 111, 110, 107, 106, 106, 105, 105, 
##     105, 108, 110, 111, 116, 119, 133, 137, 141, 146, 149, 147, 
##     145, 136, 128, 125, 122, 119, 111, 109, 109, 110, 112, 114, 
##     114, 114, 114, 118, 119, 120, 121, 123, 124, 125, 127, 126, 
##     126, 124, 122, 119, 116, 114, 112, 109, 109, 109, 110, 110, 
##     110, 119, 121, 124, 128, 145, 150, 156, 163, 158, 155, 143, 
##     128, 124, 114, 113, 111, 110, 110, 110, 111, 111, 114, 116, 
##     118, 119, 120, 123, 125, 127, 130, 133, 133, 133, 132, 128, 
##     126, 117, 114, 117, 121, 123, 129, 134, 153, 155, 154, 151, 
##     150, 150, 147, 130, 125, 117, 116, 115, 113, 113, 114, 115, 
##     117, -125, -126, -126, -143, -145, -147, -149, -150, -152, 
##     -152, -153, -153, -153, -154, -154, -155, -155, -156, -156, 
##     -156, -157, -157, -158, -159, -160, -160, -161, -161, -162, 
##     -162, -163, -164, -164, -165, -166, -166, -167, -167, -168, 
##     -168, -168, -169, -170, -171, -172, -172, -173, -173, -174, 
##     -174, -174, -175, -175, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.69, -0.67, 
##     -0.67, -0.68, -0.7, -0.72, -0.74, -0.8, -0.85, -0.97, -1, 
##     -1.06, -1.06, -1.11, -0.98, -0.93, -0.92, -0.9, -0.88, -0.9, 
##     -0.9, -0.93, -1.02, -1.13, -1.21, -1.33, -0.67, -0.65, -0.66, 
##     -0.7, -0.76, -0.79, -0.78, -0.77, -0.79, -0.77, -0.46, -0.37, 
##     -0.39, -0.45, -0.67, -0.65, -0.63, -0.19, -0.12, -0.07, 0.01, 
##     -0.37, -0.19, -0.32, -0.65, -0.9, -1.67, -4.67, -4.54, -4.28, 
##     -3.94, -2.72, -2.13, -1.98, -1.93, -1.96, -2.03, -2.12, -2.21, 
##     -2.25, -2.04, -0.82, 0.01, 1.63, 1.69, 1.63, 1.32, 1.13, 
##     0.97, 0.86, 0.76, 0.46, 0.49, 0.38, 0.28, 0.15, -0.56, -0.44, 
##     -0.4, -0.44, -0.58, -0.58, -0.57, -0.64, -0.6, 0.19, 0.3, 
##     0.29, 0.28, 0.29, 0.25, 0.22, 0.18, 0.16, 0.16, 0.22, 0.73, 
##     0.77, 0.76, 0.78, 0.79, 0.61, 0.35, 0.01, -0.4, -0.81, -1.23, 
##     -2.09, -2.49, -2.83, -3.28, -3.47, -3.56, -3.59, -3.67, -3.72, 
##     -3.89, -3.8, -3.47, -3.25, -1.37, -1.14, -1.01, -0.94, -0.94, 
##     -0.96, -1.1, -1.16, -1.22, -1.18, -0.94, -0.37, -0.04, 2.04, 
##     2.06, 2.01, 1.43, 0.94, -0.24, -3.13, -3.32, -3.5, -3.46, 
##     -3.37, -3.29, -3.07, -2.74, -2.76, -4.26, -4.51, -4.55, -4.56, 
##     -4.55, -4.52, -4.45, -4.43, -4.41, -4.4, -4.4, -4.36, -4.36, 
##     -4.35, -4.24, -3.46, -3.33, -3.3, -3.27, -3.23, -2.57, 0.77, 
##     1.91, 4.13, 6.13, 6.83, 7.79, 7.57, 4.82, 4.3, 4.09, 3.63, 
##     3.58, 3.67, 4, 4.33, 4.78, 5.81, 6.31, 7.16, 7.36, 7.21, 
##     6.94, 6.65, 6.8, 7.52, 8.31, 8.77, 8.87, 9, 9.1, 9.58, 9.87, 
##     10.3, 10.9, 10.4, 9.97, 9.82, 9.87, 9.94, 10, 10.4, 11, 10.6, 
##     10.5, 10.4, 10.4, 10.5, 10.5, 10.4, 10.5, 10.7, 10.7, 10.6, 
##     10.6, 10.6, 10.5, 10.5, 10.5, 10.7, 11, 11.2, 11.3, 11.3, 
##     11.3, 11.3, 11.2, 11.2, 11.2, 11.2, 11.2, 11.4, 11.5, 11.7, 
##     12.3, 12.6, 12.9, 13.2, 13.2, 13.2, 13.3, 13.4, 14.3, 14.7, 
##     14.8, 14.9, 14.7, 14.6, 14.6, 14.7, 14.8, 15.2, 15.5, 15.5, 
##     12.2, 13, 13.3, 13.7, 14.2, 17.4, 18.2, 19.8, 20.2, 20.6, 
##     22.4, 22.9, 23.2, 23.4, 25.1, 25.6, 26.1, 24.5, 23.9, 21.9, 
##     21.4, 20.9, 20.6, 22.3, 11, 11, 10.9, 10.9, 10.9, 10.8, 10.6, 
##     10.6, 10.6, 10.6, 10.6, 10.7, 10.7, 10.9, 11, 11.5, 12.1, 
##     14, 14.5, 14.8, 15, 14.7, 14.3, 13.9, 13.5, 12.3, 10.6, 8.78, 
##     7.46, 5.81, 3.33, 1, -3.91, -6.52, -9.05, -11.3, -13.5, -17.2, 
##     -20.5, -21.9, -24.6, -26.2, -30.4, -35.3, -37.8, -40.1, -42.1, 
##     -44.6, -44.1, -42.4, -42, -43.5, -42.2, -40.9, -40.4, -39.6, 
##     -39.4, -39.3, -39, -38.6, -35.8, -34.2, -30.2, -26.6, -24.3, 
##     -22.3, -18.5, -11.4, -6.7, 0.87, 3.45, 4.56, 10.4, 11.8, 
##     13.2, 15.6, 16.5, 17.2, 17.6, 19.4, 17, 15.3, 8.16, 3.45, 
##     0.85, 0.08, -0.43, -1.98, -3.2, -4.58, -11.3, -26.3, -27.9, 
##     -31.2, -32.6, -35.5, -36.2, -38.7, -40.9, -41.9, -43.1, -43.9, 
##     -43.4, -42.9, -42.3, -42, -41.8, -41.6, -41.3, -41, -40.2, 
##     -39.7, -39, -38.5, -37.6, -37.1, -34.6, -30.4, -27.3, -24.2, 
##     -2.87, -4.07, -5.09, -12.4, -13.9, -15.1, -15.8, -16.5, -17.3, 
##     -18.7, -19.7, -20.8, -21.8, -22.9, -23.7, -24.4, -25, -26.5, 
##     -36.9, -37.9, -37.8, -37.5, -36.5, -35.8, -34.4, -32.8, -30.2, 
##     -29.4, -26.7, -26.1, -25.3, -20.9, -18.7, -13.6, -11.6, -6.57, 
##     -4.9, -2.85, -1.15, 0.73, 2.34, 4.84, 7.22, 11, 13.5, -11.5, 
##     -14.6, -16.8, -17.9, -23.5, -24.8, -26.1, -32.6, -33.6, -35, 
##     -37.2, -38.2, -40.1, -40.9, -41.5, -41.9, -41.9, -41.7, -41.4, 
##     -41.1, -40.5, -34.6, -33.7, -31.8, -30.9, -29.9, -28.7, -27.3, 
##     -24.5, -22.8, -19.2, -17.6, -9.03, -7.73, -6.08, -1.93, -0.54, 
##     1.1, 4.24, 8.58, 10.1, 10.8, 14.3, 20.3, 22.1, 22.8, 26.4, 
##     28, 28.4, 28.4, 27.9, 27.5, 27.1, 26.4, 24.4, 22.1, 19.3, 
##     17.7, 13.3, 11.1, 0.61, -2.16, -3.38, -4.95, -8.24, -10, 
##     -13.6, -17.5, -19.4, -22.6, -28.4, -34.3, -37.1, -37.7, -38.4, 
##     -41.5, -42.3, -42.2, -42, -38, -36.1, -35.6, -35, -34.3, 
##     -32.5, -31.1, -27, -25.1, -12.7, -6.66, 1.91, 4.97, 7.69, 
##     8.96, 13.1, 14.4, 20.1, 22.4, 23, 23.8, 25.6, 26.4, 28.9, 
##     28.2, 27.8, 28.2, 28.3, 28.4, 28.4, 28.1, 27.4, 26.9, 26.3, 
##     25.7, 16.9, 9.58, 6.07, 4.9, 3.96, 3.12, 2.14, 0.98, -0.16, 
##     -3.05, -7.93, -10.6, -25.5, -31.2, -32.6, -36.9, -38.9, -40.4, 
##     -41, -41.5, -43.5, -44.4, -48.1, -48.2, -48, -47, -46.7, 
##     -46, -45.7, -45.1, -44.3, -40.6, -33.6, -26.6, -17.6, -14.3, 
##     -12.4, -10.6, 0.77, 5.05, 7.12, 9.02, 10.5, 11.6, 15.4, 16.6, 
##     19.1, 20.4, 24.4, 31, 31.6, 32.2, 32.6, 33.1, 33.5, 33.9, 
##     34.2, 34.2, 34.4, 35.2, 38.8, 38.7, 38.4, 38, 37.1, 37, 36.1, 
##     33, 28.3, 20.4, 15.9, 14.2, 13, 9.89, 0.6, -2.67, -6.13, 
##     -12.1, -14.9, -17.4, -22.6, -23.9, -26.5, -29.4, -33.2, -37.1, 
##     -40.3, -41.4, -42.7, -43, -43.8, -44.5, -45.3, -46.4, -48.9, 
##     -50.1, -51.1, -51.9, -52.2, -52.1, -51.8, -51.7, -51.6, -51.5, 
##     -50.9, -49, -47.9, -46.9, -43, -41.2, -39.2, -31.2, -28.4, 
##     -25.1, -19.6, -13.3, -3.55, 5.06, 7.37, 9.69, 12, 24.2, 26.9, 
##     32.7, 29, 23.3, 16.7, -2.21, -7.82, -11, -17.4, -23.1, -25.9, 
##     -28, -29.6, -30.7, -32.1, -35, -36.1, -40.9, -42.9, -45.7, 
##     -46.8, -53.9, -54.6, -55.5, -55.8, -56, -56.4, -56.9, -57.1, 
##     -57, -56.2, -55.5, -54.7, -53.7, -51.6, -50.6, -48.5, -47.4, 
##     -44.8, -41.5, -39.5, -35.5, -32.7, -30.2, -27.7, -25.4, -22.7, 
##     -17.7, -15.1, 0.23, 2.56, 7.07, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     32.1, 32.4, 32.6, 33.1, 33.5, 33.8, 34, 34.1, 34, 32.2, 33.4, 
##     34.4, 35.4, 36, 36.3, 35.8, 35.6, 35.8, 35.9, 35.5, 33.9, 
##     16.8, 18, 18.9, 19.2, 20.2, 21.4, 22.2, 22.2, 22.3, 22.4, 
##     22.6, 22.7, 22.9, 22.5, 20.8, 18.5, 17.2, 15.5, 13.7, 12.4, 
##     10.1, 8.08, 7.1, 6.04, 5, 3.83, -1.19, -3, -4.84, -6.59, 
##     24, 24.3, 24.1, 23.7, 22.5, 21.2, 20.6, 20, 19.1, 18.7, 18.2, 
##     16.5, 15.8, 13, 11.5, 11.6, 11.6, 11.6, 11.6, 11.5, 11.3, 
##     11, 10.9, 15.4, 15.2, 15, 14.8, 14.7, 14.7, 14.3, 14.2, 14.8, 
##     15, 14.9, 14.7, 14.5, 13.8, 12.5, 11.9, 11.7, 11.5, 11.7, 
##     11.8, 12, -3.27, -3.28, -3.32, -3.35, -3.41, -4.15, -5.42, 
##     -5.26, -4.35, -3.55, -4.26, -4.77, -5.29, -6.17, -6.34, -6.26, 
##     -5.93, -0.73, -0.79, -0.74, -0.71, -0.59, -0.53, -0.57, -0.56, 
##     -0.57, -0.58, -0.38, -0.55, -0.41, -0.36, -0.28, -0.44, -0.54, 
##     -0.59, 50.9, 51.2, 51.2, 51.1, 51.1, 51.2, 51.4, 51.3, 51.2, 
##     51.2, 51.1, 51, 51, 50.9, 50.9, 50.9, 50.9, 50.9, 51, 51, 
##     51, 51, 51, 50.8, 51.4, 51.4, 51.4, 51.4, 51.4, 51.4, 51.4, 
##     51.8, 52.4, 53.3, 53.1, 52.8, 52.4, 51.1, 50.7, 50.8, 51, 
##     51.3, 51.7, 52, 52.9, 52.9, 52.8, 52.5, 52.4, 52.5, 52.5, 
##     53.1, 179, 176, 175, 174, 171, 170, 168, 167, 166, 167, 169, 
##     169, 167, 167, 179, -177, -175, -174, -172, -166, -165, -163, 
##     -163, -163, -162, -162, -161, -161, -161, -161, -160, -161, 
##     -161, -161, -164, -165, -167, -170, -171, 159, 159, 159, 
##     159, 158, 158, 157, 157, 156, 156, 156, 156, 156, 157, 157, 
##     157, 157, 157, 159, 160, 171, 175, 173, 163, 161, 159, 158, 
##     155, 154, 152, 150, 149, 148, 147, 147, 147, 148, 148, 148, 
##     149, 149, 149, 149, 149, 149, 149, 149, 149, 149, -131, -132, 
##     -138, -139, -141, -147, -149, -152, -157, -160, -163, -169, 
##     -172, -179, 178, 175, 172, 169, 167, 158, 155, 150, 148, 
##     147, 146, 155, 155, 155, 155, 155, 154, 154, 154, 153, 153, 
##     153, 152, 152, 152, 152, 152, 151, 151, 151, 151, 150, 150, 
##     150, 150, 150, 149, -141, -141, -143, -141, -140, -137, -131, 
##     0.48, -128, -127, -126, -126, -135, -136, -139, -140, -139, 
##     -139, -139, -140, -140, -140, -140, -142, -131, -132, -132, 
##     -132, -133, -133, -133, -133, -133, -132, -132, -131, -129, 
##     -129, -128, -127, -126, -126, -126, -126, -127, -131, -133, 
##     -138, -133, -133, -133, -133, -133, -133, -132, -132, -131, 
##     -131, -131, -130, -130, -130, -130, -130, -130, -131, -131, 
##     -131, -131, -131, -131, -131, 121, 118, 116, 114, 113, 111, 
##     111, 110, 111, 111, 112, 112, 113, 113, 115, 116, 116, 116, 
##     116, 125, 128, 131, 137, 140, 149, 166, -136, -148, -166, 
##     171, 153, 146, 132, 128, 120, 118, 114, 112, 111, 110, 108, 
##     108, -130, -146, -151, -176, 172, 129, 121, 113, 107, 106, 
##     104, 103, 103, 102, 102, 101, 101, 101, 101, 101, -166, -154, 
##     -128, -121, -119, -118, -118, -118, -120, -122, -124, -128, 
##     -139, -148, 139, 103, 99.7, 94.3, 93.3, 90, 90, 90, 90.1, 
##     90.1, 90, 89.9, 89.9, 89.8, 89.8, 89.7, 89.5, 89.3, 89, 88.3, 
##     88.1, 88.1, 88.3, 88.4, 88.4, 88.2, 88, 87.9, 87.5, 87.4, 
##     88.1, 88.5, 88.9, 108, 83.4, 83.4, 64, 64.5, 63.1, 62.1, 
##     61, 60, 59.2, 58.8, 59, 60.3, 62, 62.1, 62.1, 61.8, 61.5, 
##     61.2, 60.3, 59.7, 58.2, 57.1, 54.9, 53.6, 51.4, 50.2, 49, 
##     46.5, 42.1, 39.1, 36.2, 32.5, 28.9, 113, 114, 114, 114, 114, 
##     114, 116, 117, 117, 118, 123, 125, 127, 136, 139, 143, 154, 
##     160, -179, -173, -158, -153, -150, -145, -143, -143, -144, 
##     -151, -153, -157, -167, -172, 165, 150, 135, 120, 119, 118, 
##     119, 118, 117, 114, 113, 112, 114, 115, 116, 116, 115, 114, 
##     114, 115, 116, 117, 118, 118, 119, 120, 121, 121, 123, 124, 
##     127, 137, 140, 143, 147, 161, -178, -163, -159, -157, -155, 
##     -146, -146, -147, -149, -150, -152, -155, -157, -171, -178, 
##     121, 121, 121, 121, 120, 120, 119, 119, 119, 119, 118, 118, 
##     118, 118, 118, 118, 118, 117, 117, 117, 117, 117, 117, 117, 
##     117, 117, 117, 117, 117, 117, 117, 117, 117, 118, 118, 118, 
##     118, 118, 119, 119, 120, 121, 121, 125, 131, 134, 137, 150, 
##     175, -177, -173, -169, -158, -155, -152, -146, -143, -143, 
##     -143, -148, -149, -150, 179, 146, 120, 107, 108, 109, 109, 
##     111, 112, 113, 115, 117, 117, 118, 120, 121, 122, 123, 123, 
##     123, 123, 123, 123, 122, 121, 121, 123, 133, 136, 143, 152, 
##     169, 175, 179, -150, -148, -146, -145, -146, -147, -151, 
##     -153, -155, -157, -160, -164, -178, 170, 157, 135, 130, 125, 
##     122, 120, 118, 114, 114, 114, 116, 118, 118, 119, 121, 121, 
##     123, 125, 126, 125, 125, 125, 125, 124, 124, 123, 124, 125, 
##     130, 134, 137, 143, 147, 165, 169, 173, -168, -164, -154, 
##     -151, -150, -147, -147, -147, -148, -152, -154, -157, -167, 
##     -171, -176, 126, 120, 119, 118, 117, 115, 112, 113, 132, 
##     135, 150, 163, 178, -174, -156, -151, -145, -141, -140, -146, 
##     -156, -171, -178, 163, 149, 124, 120, 119, 118, 117, 117, 
##     122, 125, 125, 126, 126, 134, 135, 133, 132, 131, 130, 130, 
##     129, 128, 126, 126, 127, 129, 130, 132, 133, 137, 140, 149, 
##     154, 165, 170, -163, -159, -156, -152, -151, -151, -153, 
##     -154, -154, -156, -161, -166, -170, 179, 160, 150, 126, 124, 
##     120, 119, 119, 125, 126, 128, 133, 136, 138, 139, 139, 138, 
##     138, 138, 138, 138, 137, 137, 131, 131, 134, 135, 138, 140, 
##     149, 154, 161, 167, 173, -159, -156, -160, 173, 161, 148, 
##     131, 131, 131, 137, 139, 142, 145, 154, 162, 172, 177, -180, 
##     -176, -167, -165, -162, -161, -167, -170, -172, -176, -179, 
##     177, 173, 169, 135, 134, 133, 133, 133, 133, 134, 135, 136, 
##     136, 135, 135, 134, 135, 137, 139, 141, 144, 145, 146, 146, 
##     147, 147, 147, 142, 141, 137, 137, 136, 137, 139, 141, 148, 
##     152, 158, 163, 171, 175, 179, -175, -162, -161, -160, -160, 
##     -161, -164, -167, -172, -177, -178, 172, 155, 148, 145, 143, 
##     141, 139, 138, 137, 137, 136, 67.9, 174, 175, 178, 178, 178, 
##     178, 178, 177, 177, 178, 177, 177, 176, 176, 177, 178, -176, 
##     -176, -176, -176, -176, -176, -176, -175, -175, -176, -176, 
##     -176, -177, -177, -178, -178, -179, -180, 179, 178, 177, 
##     176, 175, 173, 173, 166, 165, 165, 164, 164, 164, 164, 165, 
##     165, 166, 167, 167, 168, 168, 169, 169, 171, 171, 173, 174, 
##     173, 171, 171, 170, 168, 168, 165, 164, 163, 163, 164, 164, 
##     165, 166, 167, 168, 169, 171, 175, 178, 179, -178, -177, 
##     -176, -175, -174, -173, -173, -174, -174, -175, -175, -174, 
##     -174, -174, -174, -175, -176, -177, -179, 180, 178, 177, 
##     175, 174, 172, 170, 169, 168, 168, 169, 170, 170, 170, 171, 
##     172, 173, 173, 174, 174, 174, 175, -179, -176, -176, -176, 
##     -176, -176, -175, -175, -174, -174, -174, -173, -173, -173, 
##     -173, -173, -173, -174, -174, -174, -175, -177, -178, 180, 
##     179, 177, 176, 175, 173, 172, 171, 170, 169, 168, 168, 167, 
##     167, 167, 167, 167, 167, 168, 168, 169, 169, 170, 170, 171, 
##     171, 172, 172, 173, 173, 174, 174, 174, 175, 174, 173, 173, 
##     173, 172, 172, 172, 172, 172, 174, -180, -179, -179, -179, 
##     -178, -177, -176, -176, -175, -174, -174, -174, -174, -174, 
##     -174, -175, -175, -174, -174, 169, 168, 168, 168, 168, 168, 
##     168, 168, 168, 168, 168, 169, 170, 171, 172, 172, 173, 173, 
##     174, 175, 175, 175, 175, 177, 178, 179, -180, -179, -179, 
##     -179, -178, -178, -177, -177, -177, -177, -177, -177, -178, 
##     -178, -178, -178, -177, -176, -175, -175, -176, -176, -176, 
##     -176, -176, -177, -178, -178, 178, 178, 177, 177, 176, 176, 
##     175, 175, 175, 174, 174, 173, 172, 172, 173, 172, 171, 171, 
##     170, 171, 172, 174, 175, 176, 176, 176, 176, 177, 177, 178, 
##     178, 180, -179, -179, -179, -178, -177, -177, -176, -176, 
##     -175, -175, -175, -175, -176, -177, -179, -179, -180, -180, 
##     -179, -179, -179, -178, -178, -178, -178, -178, -179, -179, 
##     -179, 179, 179, 178, 176, 175, 173, 172, 172, 172, 171, 169, 
##     168, 168, 171, 172, 173, 174, 175, 175, 177, 177, 178, 178, 
##     179, 179, 179, 178, 179, -180, -179, -179, -179, -178, -178, 
##     -178, -177, -177, -176, -175, -175, -176, -176, -177, -178, 
##     -178, -178, -178, -178, -177, 177, 178, 178, 178, 179, 178, 
##     178, 178, 177, 177, 176, 176, 176, 176, 177, 178, 179, -180, 
##     -179, -178, -177, -177, -177, -178, -178, -179, -179, -179, 
##     -179, -179, -179, -179, -178, -178, -178, -178, -179, -180, 
##     180, 180, 179, 178, 177, 173, 173, 173, 172, 172, 172, 172, 
##     172, 173, 173, 174, 174, 174, 175, 176, 176, 176, 176, 176, 
##     176, 176, 175, 175, 175, 174, 174, 174, 174, 174, 175, 176, 
##     178, 178, 73.4, 77.7, 81.8, 84.3, 84.7, 86.2, 87.4, 90, 91.4, 
##     93.3, 94.1, 95.1, 96.8, 98.6, 99.8, 102, 106, 106, 106, 106, 
##     106, 105, 102, 100, 99.6, 99, 98.6, 98.2, 97.6, 96.7, 93.3, 
##     91.6, 91.1, 91.2, 91.7, 91.9, 90.1, 87.6, 71.8, 61.3, 40.1, 
##     -72.8, -90.1, -90.9, -90, -88.9, -86.5, -89.5, -93.3, -93.6, 
##     -44.1, 81.1, 87.8, 88.4, 89.2, 90.4, 92.6, 95.7, 97.5, 99.2, 
##     101, 103, 103, 103, 104, 104, 106, 108, 110, 112, 113, 113, 
##     115, 114, 113, 112, 110, 108, 107, 104, 103, 103, 102, 100, 
##     96.3, 95.3, 93.9, 100, 110, 123, 132, 153, -99.2, -96.9, 
##     -91.8, -91.9, -93.1, -95.6, -96.7, -97.4, -97.7, -98.1, -97.6, 
##     -97.2, 80.3, 83.9, 84.3, 88.8, 91.7, 94.5, 96.4, 98.8, 103, 
##     108, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
##     117, 117, 117, 117, 117, 117, 117, 116, 116, 116, 116, 116, 
##     116, 116, 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 
##     115, 115, 114, 114, 114, 114, 114, 114, 114, 114, 112, 112, 
##     -110, -110, -110, -111, -113, -118, -143, -168, 161, 136, 
##     123, 116, 111, 109, 109, 108, 109, 110, 112, 114, 115, 117, 
##     118, 124, 127, 127, 128, 129, 129, 129, 129, 127, 126, 124, 
##     121, 121, 121, 121, 124, 126, 151, 163, -160, -152, -137, 
##     -132, -129, -128, -128, -129, -130, -129, -128, -128, -130, 
##     -131, -134, -135, -143, -162, 170, 134, 131, 126, 124, 122, 
##     121, 120, 121, 126, 128, 132, 140, 141, 141, 142, 143, 143, 
##     143, 143, 143, 142, 141, 140, 138, 137, 137, 137, 139, 143, 
##     147, 150, 162, 171, 175, 179, -177, -173, 130, 135, 136, 
##     137, 138, 138, 140, 141, 142, 142, 143, 142, 142, 141, 141, 
##     140, 139, 139, 139, 140, 143, 145, 147, 152, 157, 168, 175, 
##     -178, -174, -160, -157, -153, -150, -149, -150, -150, -150, 
##     -150, -149, -149, -151, -152, -152, -154, -155, -157, -160, 
##     -162, -167, -171, 142, 145, 149, 153, 161, 165, 173, -179, 
##     -154, -151, -149, -146, -145, -144, -145, -147, -149, -151, 
##     -153, -165, -179, 175, 161, 157, 149, 140, 135, 134, 134, 
##     133, 133, 134, 134, 136, 139, 140, 141, 141, 142, 144, 145, 
##     144, 144, 143, 146, 158, 164, 174, 177, -167, -162, -160, 
##     -155, -154, -152, -151, -152, -152, 140, 140, 142, 142, 142, 
##     142, 142, 141, 140, 139, 139, 138, 139, 142, 144, 150, 153, 
##     156, 160, 163, 172, 176, -174, -171, -169, -166, -162, -156, 
##     135, 134, 134, 133, 133, 133, 133, 134, 134, 135, 135, 138, 
##     138, 139, 139, 138, 137, 137, 136, 136, 137, 139, 140, 161, 
##     169, 176, 179, -177, -162, -158, -153, -151, -148, -148, 
##     -147, -147, -147, -147, -147, -148, -148, -149, -149, -151, 
##     -152, -154, -165, -171, -179, 171, 164, 157, 153, 150, 148, 
##     143, 136, 135, 135, 135, 135, 138, 139, 143, 144, 146, 148, 
##     148, 149, 148, 147, 146, 145, 145, 145, 145, 151, 155, 165, 
##     122, 123, 123, 124, 125, 126, 128, 135, 136, 137, 137, 137, 
##     136, 135, 135, 134, 133, 131, 131, 131, 130, 130, 130, 130, 
##     130, 130, 129, 129, 130, 130, 130, 130, 130, 130, 130, 130, 
##     130, 130, 130, 131, 132, 131, 131, 129, 127, 121, 116, 117, 
##     122, 125, 127, 156, 165, 174, -179, -168, -163, -162, -163, 
##     -165, 179, 174, 167, 137, 120, 113, 113, 113, 115, 120, 133, 
##     135, 138, 142, 144, 147, 147, 144, 138, 135, 133, 131, 130, 
##     126, 124, 125, 132, 141, 157, 168, 174, -175, -170, -170, 
##     -171, -172, -175, -178, 174, 169, 153, 132, 131, 130, 131, 
##     134, 140, 155, 163, -177, -170, -169, -169, -170, -172, -175, 
##     -177, 172, 163, 159, 149, 140, 135, 131, 129, 126, 126, 128, 
##     134, 139, 140, 142, 142, 142, 139, 137, 136, 136, 136, 136, 
##     137, 138, 156, 162, 165, 173, -176, -172, -170, -167, -166, 
##     -167, -168, -169, -170, -174, -179, 178, 174, 170, 167, 156, 
##     145, 141, 134, 133, 131, 133, 134, 136, 138, 144, 144, 145, 
##     147, 144, 140, 138, 139, 141, 142, 143, 145, 152, 154, 169, 
##     172, 179, 179, 178, 176, 173, 159, 156, 154, 148, 144, 143, 
##     142, 141, 140, 140, 142, 144, 148, 149, 151, 155, 155, 155, 
##     153, 152, 151, 149, 148, 149, 145, 147, 148, 150, 150, 150, 
##     148, 147, 146, 147, 150, 152, 154, 166, 174, 177, 178, 178, 
##     175, 169, 167, 163, 160, 158, 150, 142, 141, 142, 144, 147, 
##     151, 153, 154, 154, 154, 154, 154, 154, 155, 158, 160, 162, 
##     161, 162, 162, 163, 175, 178, 178, 173, 170, 169, 167, 165, 
##     166, 164, 162, 160, 157, 153, 152, 150, 150, 151, 155, 155, 
##     155, 154, 155, 155, 158, 158, 159, 158, 155, 154, 154, 155, 
##     156, 156, 157, 159, 161, 162, 162, 161, 160, 162, 163, 167, 
##     168, 169, 170, 172, 171, 170, 162, 160, 159, 161, 161, 160, 
##     155, 152, 150, 147, 147, 148, 151, 152, 152, 152, 152, 167, 
##     164, 163, 160, 156, 155, 153, 153, 152, 152, 152, 152, 152, 
##     152, 154, 155, 156, 157, 157, 157, 158, 158, 158, 158, 158, 
##     158, 158, 157, 158, 158, 158, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 13.2, 18.3, 20.9, 31.9, 34.8, 36.2, 35.8, 35.2, 34.5, 
##     31.8, 31.5, 32.2, 33.8, 34.4, 34.8, 34.7, 33.8, 33.1, 33, 
##     33, 33, 31.9, -40.6, -42.2, -43.7, -45.6, -46.1, -45.9, -45.4, 
##     -44.3, -43, -42.3, -41.7, -40.9, -36.2, -34.5, -32.8, -31.2, 
##     -26.5, -23, -16, -13.2, -10.7, -7.91, -6.11, -4.33, -2.48, 
##     -0.42, 1.49, 3.58, 7.26, 11.7, 19.9, 21.8, 22.6, 25.2, 25.8, 
##     26.3, 26.7, 27.1, 27.4, 28.2, 33.4, 34.9, 35.3, 35.7, 34.4, 
##     34.4, 32.8, 32.5, 32.3, 31.8, 31.5, 31, 29.7, 27.7, 26.3, 
##     14.7, 11.7, 5.34, -0.05, -4.15, -10.4, -12.4, -20, -22.7, 
##     -25.6, -31.8, -34.5, -35.7, -36.8, -37.9, -40, -42.7, -44.2, 
##     -46.9, -49.6, -51.3, -54.4, -55.6, -56.3, -56.9, -57.3, -57.1, 
##     -57, -56.9, -56.7, -56.6, -56.5, -56.5, -56.4, -56.4, -56.3, 
##     -53.8, -53.1, -51.5, -51, -50.3, -48.5, -46.2, -43.5, -38.7, 
##     -35.3, -33.7, -30, -25.5, -22.9, -12, -7.06, -4.72, -0.82, 
##     1.05, 4.41, 6.14, 10.4, 14, 17.6, 18.8, 22.4, 25, 28, 29.5, 
##     32.2, 33.3, 35.2, 36, 37.2, 38, 38.8, 39.2, 38.8, 38.7, 38.5, 
##     38.3, 38.1, 37.6, 37.1, 36.8, 36.5, 35.9, 35.7, 35, 34.9, 
##     34.7, 34.4, 33.7, 33.6, 33.3, 31.7, 30.8, 29.9, 22.4, 16.1, 
##     11.4, 8.9, 6.46, -0.21, -4.08, -11.4, -15.6, -19.9, -23.9, 
##     -30.7, -34, -36.2, -38.5, -40.6, -42.2, -45.1, -46.4, -47.6, 
##     -58.6, -58.4, -56.5, -53.9, -52.3, -46.9, -38.8, -34.9, -31.1, 
##     -18.2, -14.5, -10.3, 2.21, 5.58, 8.82, 11.7, 17.5, 23.8, 
##     27, 29.5, 31, 32.2, 33.7, 33.5, 33, -41.9, -42.8, -44.9, 
##     -46.2, -47.6, -51.2, -51.1, -50.4, -50.4, -50.4, -49.6, -48.9, 
##     -49, -50.4, -52.5, -53.1, -52.8, -52.4, -52, -51.4, -49.1, 
##     -46.1, -44.3, -40.2, -38, -22.4, -18.5, -14.2, -9.3, -0.76, 
##     3.29, 6.5, 10.8, 12.8, 21.4, 22.5, 23.9, 25, 28, 28.7, 29.6, 
##     29.3, 29.2, 29.2, 29.3, 30.4, 30.7, 31.3, 31.5, 31.6, 31.7, 
##     31.6, 31.1, 30.1, 30.1, 29.5, 26.2, 23.6, 16.5, 12.7, 0.23, 
##     -5.8, -9.08, -18.3, -26.8, -35.3, -40.7, -42.1, -43.4, -44.7, 
##     -47.3, -47.8, -48.2, -48.7, -49, -49, -49, -48.7, -48.6, 
##     -52.1, -52, -51.6, -50.7, -50.7, -50.9, -51.7, -52.1, -52.4, 
##     -52.4, -52.2, -50.8, -47.5, -43.2, -41.9, -38.5, -36.5, -34.1, 
##     -28.9, -26.5, -12.3, -8.96, -5.94, 10.3, 17.5, 19.1, 20.7, 
##     21.9, 22.7, 23.1, 23.1, 23, 22.6, 23.4, 23.9, 24.3, 25, 27.7, 
##     28.6, 29, 29.3, 30.1, 30.3, 30.4, 30.3, 28.9, 27.7, 24.9, 
##     23.5, 22.1, 20.6, 17.7, 15.7, 7.14, -1.29, -10.6, -22.1, 
##     -31.3, -34, -38.1, -39.6, -40.9, -42.9, -44.6, -48.2, -49.1, 
##     -49.6, -49.9, -50.6, -51, -51.3, -51.3, -51.4, -51.6, -51.7, 
##     -51.7, -51.8, -52, -51.8, -51.6, -51.4, -51.4, -51.4, -51.2, 
##     -51.1, -47.4, -45.2, -44, -42.4, -40.6, -39.1, -37.3, -31.4, 
##     -26.5, -20.3, -11.2, 0.93, 4.22, 11.3, 13.1, 18.1, 19.7, 
##     22.2, 23.2, 24.4, 25.5, 26.5, 28.4, -23.1, -27.1, -28.8, 
##     -30.4, -33.5, -34.9, -40.4, -41.4, -42.4, -44, -44.7, -45.3, 
##     -45.9, -47.1, -48.8, -49.3, -49.9, -50.3, -49.8, -49.4, -49.4, 
##     -49.4, -49.4, -49.2, -49.3, -50.1, -50.2, -50.2, -50.1, -49.7, 
##     -49.3, -48.7, -47.4, -46.5, -44.5, -43.3, -42.1, -40.5, -30.4, 
##     -20, -17.4, -11.9, -5.5, 7.78, 9.69, 11.5, 20.5, 22.7, 27.8, 
##     27.9, 26.9, 26, 25.4, 25.1, 25, 25.1, 25.2, 25.3, 25.5, 25.7, 
##     26.5, 27.4, 27.8, 28.7, 29.3, 29.5, 29.5, 29.5, 22.8, 18.3, 
##     -55.3, -55.3, -55.3, -55.1, -54.7, -54.2, -53.8, -56.9, -55.8, 
##     -55, -54, -54.2, -54.4, -55.4, -55.4, -53.4, -52.3, -51.1, 
##     -48.6, -43.7, -41.6, -39.2, -36.8, -33.9, -31.1, -28.3, -22, 
##     -16.6, -13.6, 0.25, 6.35, 9.29, 12, 16.6, 20.8, 22.1, 25.2, 
##     25.5, 25.8, 25.3, 23.3, 24.2, 24.4, 24.5, 24.7, 25.4, 25.5, 
##     25.5, 25.4, 25, 24.5, 23.8, 22.8, 21.7, 19.1, 16.2, 14.7, 
##     11.5, 9.49, 7.55, 4.95, 2.14, -1.03, -14.1, -21.4, -28.2, 
##     -31.7, -44.1, -52, -52.9, -54.4, -55.7, -56.2, -58.3, -58.9, 
##     -60, -58.9, -58.3, -58.1, -57.8, -57.5, -56.8, -55.7, -55.5, 
##     -55.2, -55.1, -55, -53.7, -52.5, -51.7, -48.4, -46.8, -44.7, 
##     -42.5, -40.1, -37.9, -35.6, -31.9, -30, -27.6, -20.9, -2.71, 
##     -0.35, 1.74, 5.53, 7.26, 17, 19.8, 19.7, 19.6, 19.6, 19.8, 
##     20.6, 23.1, 23.9, 24.7, 25.8, 26.1, 26.3, 25.9, 25.6, 25.2, 
##     23.7, 21.2, 16.3, 6.51, 4.14, -1.59, -5.17, -12.9, -36.5, 
##     -40.5, -44.8, -47.3, -48.7, -50.1, -54.6, -56.1, -57.5, -58.7, 
##     -58.6, -58.6, -58.8, -59.6, -59.5, -59, -58.9, -58.3, -58.3, 
##     -58.4, -58.4, -58.2, -57.8, -57.3, -56.9, -56.5, -54, -53.3, 
##     -51.1, -49.3, -45.3, -43, -40.5, -35.6, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13.7, 
##     8.64, 5.17, -2.66, -14.6, -20.9, -24, -26.9, -36.5, -40.5, 
##     -42.6, -44.4, -48.9, -49.9, -50.7, -51.1, -51.4, -52.4, -53.2, 
##     -53.8, -54.9, 27.6, 27.6, 28, 28.7, 28.9, 29.3, 29.5, 29.5, 
##     29.5, 29.3, 29.1, 28.4, 27.6, 27, 25.5, 24.8, 21.5, 20.3, 
##     18.5, 16.3, 14, 7.72, 4.16, -7.9, -12.1, 31.7, 33, 33.2, 
##     31.3, 29.6, 25.4, 23.1, 18.1, 9.17, 3.45, -4.43, -25.6, -28.5, 
##     -31.1, -33.3, -37.1, -39.3, -40.4, -40.7, -51.9, -52.7, -53.8, 
##     -54, -54, -53.8, -53.7, -53.6, -53.7, -53.8, -54.5, -55, 
##     -54.3, -53.6, -52.3, -52.9, -53.8, -54.3, -54.7, -55.1, -55.5, 
##     -56.3, -58.2, 31.6, 31.3, 30.6, 29, 20.9, 19, 17.3, 9.4, 
##     1.91, -16.4, -19.8, -21, -22, -23.8, -24.9, -33, -34.3, -35.6, 
##     -36.6, -37.8, 157, 157, 157, 157, 157, 156, 156, 157, 157, 
##     157, 158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 153, 
##     155, 155, 154, 154, 153, 152, 152, 158, 159, 161, 162, 164, 
##     164, 164, 166, 170, 171, 173, 175, 176, 178, 179, 180, 180, 
##     178, 176, 171, 170, 150, 151, 153, 154, 156, 163, 167, 173, 
##     174, 177, 178, 178, 174, 170, 167, 165, 160, 155, 153, 143, 
##     140, 140, 141, 142, 142, 141, 141, 141, 145, 140, 128, 126, 
##     120, 121, 122, 128, 130, 133, 134, 138, 139, 140, 141, 141, 
##     140, 139, 138, 135, 134, 133, 130, 130, 130, 131, 131, 131, 
##     130, 130, 130, 130, 131, 131, 131, 131, 130, 130, 130, 130, 
##     130, 130, 130, 130, 130, 130, 131, 131, 131, 131, 131, 131, 
##     -179, -178, -177, -176, -175, -175, -175, -176, -176, -177, 
##     -177, -177, -177, -176, -176, -176, -176, -176, -176, -175, 
##     -176, -177, -178, -179, -180, 179, -176, -177, -178, -178, 
##     -178, -179, 179, 179, 179, 179, 178, 178, 178, 177, 176, 
##     176, 176, 176, 176, 176, 176, 175, 175, 175, 175, 176, 176, 
##     177, -173, -173, -173, -173, -173, -173, -175, -176, -177, 
##     -177, -179, 180, 175, 174, 173, 172, 172, 171, 170, 170, 
##     169, 177, 177, 178, 177, 177, 177, 177, 176, 176, 176, 175, 
##     174, 173, 172, 171, 170, 170, 171, 171, 172, 174, 174, 176, 
##     176, 177, 178, 179, -178, -178, -178, -178, -177, -177, -177, 
##     -177, -177, -177, -177, -177, -177, -177, -177, -177, -177, 
##     -177, -177, -177, 178, 179, 179, 180, -180, -180, -180, -180, 
##     -180, -180, -179, -179, -179, -179, -179, -179, -179, -178, 
##     -178, -178, -178, 129, 125, 126, 126, 125, 125, 126, 126, 
##     126, 126, 127, 128, 129, 132, 134, 136, 138, 140, 140, 140, 
##     140, 138, 138, 138, 137, 137, 136, 133, 133, 116, 119, 120, 
##     122, 122, 123, 124, 125, 126, 125, 125, 124, 123, 122, 121, 
##     121, 120, 120, 165, 157, 151, 129, 123, 121, 121, 120, 119, 
##     119, 119, 118, 118, 117, 117, 118, 119, -157, -159, 169, 
##     177, -173, -160, -156, -154, -150, -149, -148, -149, -149, 
##     -150, -150, -150, -151, -152, -154, -155, -154, -149, -149, 
##     -148, -149, -150, -151, -152, -152, -151, -150, -150, -150, 
##     -152, -153, -154, -155, -159, -166, -169, -178, 167, 145, 
##     139, 138, -153, -154, -157, -158, -160, -162, -166, -170, 
##     -176, -179, 173, 168, 162, 142, 134, 133, 133, 133, 132, 
##     133, 135, 137, 163, 159, 155, 151, 146, 144, 139, 137, 136, 
##     134, 134, 134, 135, 135, 136, 137, 137, 141, 142, 143, 143, 
##     142, 142, -147, -145, -145, -145, -145, -145, -145, -145, 
##     -146, -149, -151, -154, -158, -168, -172, -175, 173, 167, 
##     151, 146, 143, 141, 134, 131, -142, -142, -143, -143, -144, 
##     -145, -150, -153, -156, -160, -173, 173, 158, 152, 141, 138, 
##     134, 131, 130, 129, 129, 129, 137, 135, 137, 134, 132, 131, 
##     131, 132, 133, 141, 155, 168, 176, -178, -173, -163, -155, 
##     -145, -143, -141, -140, -141, -142, -142, -143, -141, -141, 
##     -141, 111, 110, 108, 104, 103, 103, 103, 103, 104, 119, 160, 
##     -139, -120, -113, -111, -111, -110, -110, -110, -110, -110, 
##     -111, -111, -112, -111, -111, 115, 115, 116, 116, 116, 118, 
##     118, 120, 120, 120, 120, 120, 120, 120, 119, 118, 118, 118, 
##     118, 118, 118, 118, 118, 117, 117, 136, 136, 137, 140, 141, 
##     141, 142, 144, 145, 145, 146, 147, 147, 147, 147, 147, 146, 
##     145, 145, 145, 143, 143, 140, 139, 138, 141, 146, 148, 152, 
##     153, 154, 157, 162, 165, 179, -179, -171, -171, -170, -177, 
##     174, 166, 159, 146, 145, 141, 140, 141, 140, 139, 139, 139, 
##     138, 139, 141, 144, 147, 148, 150, 151, 152, 152, 151, 151, 
##     150, 150, 150, 149, 148, 147, 146, 145, 147, 149, 150, 152, 
##     153, 155, 159, 161, 165, 168, 172, 174, 176, 175, 168, 165, 
##     163, 162, 161, 161, 161, 159, 157, 153, 151, 150, 150, 149, 
##     148, 147, 147, 147, 146, 146, 147, 149, 150, 152, 155, 156, 
##     158, 158, 158, 158, 158, 156, 155, 154, 153, 151, 151, 151, 
##     150, 149, 149, 149, 149, 149, 148, 148, 148, 149, 150, 150, 
##     151, 152, 154, 156, 156, 158, 158, 158, 157, 157, 157, 157, 
##     157, 156, 155, 154, 153, 150, 147, 148, 147, 147, 147, 147, 
##     147, 146, 146, 147, 147, 149, 150, 156, 157, 158, 161, 161, 
##     161, 161, 161, 161, 160, 158, 156, 154, 149, 149, 149, 149, 
##     149, 149, 149, 149, 149, 149, 148, 148, 148, 148, 149, 149, 
##     149, 149, 149, 150, 150, 150, 150, 150, 150, 150, 150, 150, 
##     150, 150, 148, 147, 146, 146, 146, 146, 147, 148, 149, 150, 
##     153, 158, 161, 162, 162, 163, 162, 160, 159, 158, 158, 157, 
##     155, 154, 154, 153, 152, 149, 146, 145, 145, 144, 141, 140, 
##     140, 139, 140, 139, 139, 139, 139, 138, 138, 137, 137, 137, 
##     137, 138, 140, 140, 142, 143, 144, 147, 149, 151, 153, 156, 
##     162, 165, 164, 163, 162, 160, 157, 153, 151, 145, 143, 135, 
##     134, 130, 130, 130, 130, 131, 131, 131, 131, 132, 133, 135, 
##     134, 134, 134, 134, 134, 134, 134, 133, 133, 133, 133, 135, 
##     136, 137, 139, 142, 152, 166, 174, 179, 177, 176, 170, 158, 
##     153, 150, 140, 138, 136, 135, 132, 132, 132, 131, 130, 130, 
##     129, 129, 130, 131, 131, 132, 131, 131, 131, 131, 130, 130, 
##     130, 130, 131, 133, 138, 139, 142, 143, 145, 150, 158, 160, 
##     161, 160, 159, 157, 155, 154, 142, 140, 137, 135, 134, 132, 
##     131, 127, 126, 126, 127, 127, 127, 127, 127, 127, 127, 128, 
##     128, 128, 129, 129, 128, 128, 178, 178, 178, 177, 177, 176, 
##     176, 176, 175, 175, 175, 176, 176, 179, 180, -179, -179, 
##     -179, -180, -180, -180, -180, 180, 180, 180, 180, -180, -179, 
##     -179, -179, -178, -178, -178, -176, -177, -177, -176, -176, 
##     -176, -176, -176, -176, -176, -176, -177, -176, -176, -176, 
##     -175, -175, -175, -177, -179, -180, 179, 179, 178, 177, 177, 
##     176, 175, 175, 175, 175, 175, 176, 176, 176, 176, 177, 178, 
##     178, 178, 179, 179, 177, 177, 177, 176, 176, 176, 177, 177, 
##     177, 177, 177, 178, 178, 178, -180, -177, -176, -176, -175, 
##     -174, -174, -174, -174, -174, -175, -175, -176, -178, -178, 
##     -178, -177, -176, -176, -175, -174, -175, -175, -175, -176, 
##     -176, -176, -176, -177, -177, -177, -177, -178, 180, 177, 
##     176, 176, 175, 174, 174, 173, 174, 174, 173, 174, 175, 175, 
##     175, 176, 176, 177, 177, 178, 178, 179, 179, 180, -179, -178, 
##     -176, -176, -175, -175, -175, -174, -174, -174, -171, -171, 
##     -171, -172, -174, -174, -175, -175, -175, -175, -174, -174, 
##     -174, -173, -173, -173, -173, -175, -175, -176, -177, -178, 
##     -180, -173, -173, -172, -172, -172, -173, -173, -174, -174, 
##     -176, -177, -177, 179, -177, -177, -177, -177, -176, -176, 
##     -177, -177, -178, -178, -178, -178, -176, -176, -175, -175, 
##     -174, -174, -174, -174, -176, -177, 178, 174, 173, 172, 168, 
##     168, 167, 168, 169, 169, 171, 171, 171, 176, 177, 180, -178, 
##     -176, -175, -175, -175, -173, -173, -172, -172, -171, -171, 
##     -171, -171, -171, -171, -171, -171, -171, -171, -171, -173, 
##     -175, -176, -177, -180, 178, 174, 169, 168, 167, 166, 166, 
##     170, 171, 172, 172, 173, 177, 178, 180, -179, -178, -174, 
##     -173, -173, -173, -173, -171, -171, -171, -171, -170, -170, 
##     -170, -170, -170, -169, -169, -169, -169, -169, -171, -172, 
##     -173, -175, -176, 179, 175, 173, 171, 169, 166, 166, 167, 
##     167, 167, 168, 170, 171, 171, 172, 174, 175, 176, 178, 180, 
##     -179, -177, -177, -176, -175, -174, -174, -172, -171, -171, 
##     -171, -173, -173, -174, -173, -172, -172, -171, -171, -177, 
##     -179, 179, 177, 175, 174, 173, 171, 170, 170, 171, 171, 172, 
##     173, 174, 174, 174, 175, 175, 176, 177, 177, 178, 179, -180, 
##     -174, -174, -174, -173, -173, -173, -174, -174, -176, -178, 
##     -179, -180, 180, 179, 179, 177, 172, 172, 173, 174, 175, 
##     176, 176, 177, 177, 178, 179, -180, -178, -177, -177, -176, 
##     -175, -174, -174, -173, -173, -173, -174, -175, -176, -177, 
##     -177, -177, -176, -176, -176, -176, -175, -174, -174, -175, 
##     -176, -176, -177, -177, -160, -162, -163, -165, -166, -168, 
##     -175, 174, 168, 165, 161, 159, 156, 148, 147, 146, 146, 146, 
##     146, 147, 149, 150, 150, 150, 149, 149, 149, 148, 148, 149, 
##     149, 149, 149, 149, 150, 150, 150, 150, 150, 150, 150, 150, 
##     151, 151, 151, 151, 151, 150, 150, 150, 149, 149, 148, 148, 
##     148, 147, 148, 149, 150, 150, 151, 150, 150, 150, 149, 149, 
##     149, 148, 148, 148, 147, 147, 147, 147, 147, 146, 146, 146, 
##     146, 145, 144, 144, 144, 145, 145, 146, 146, 146, 146, 146, 
##     146, 146, 145, 146, 146, 146, 146, 146, 146, 147, 147, 147, 
##     148, 148, 149, 149, 150, 150, 150, 150, 150, 151, 151, 151, 
##     151, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 
##     149, 148, 148, 148, 146, 146, 146, 147, 147, 148, 150, 150, 
##     151, 152, 153, 155, 156, 160, 161, 162, 165, 166, 166, 165, 
##     164, 162, 161, 160, 159, 156, 154, 151, 148, 145, 144, 144, 
##     142, 141, 142, 145, 146, 146, 147, 148, 148, 148, 149, 149, 
##     150, 150, 150, 150, 150, 150, 150, 147, 146, 145, 145, 145, 
##     145, 148, 154, 155, 156, 156, 156, 165, 166, 163, 160, 159, 
##     152, 149, 144, 142, 140, 139, 137, 136, 142, 142, 143, 143, 
##     143, 143, 141, 140, 138, 138, 138, 138, 138, 142, 152, 154, 
##     157, 166, 168, 171, 171, 171, 170, 167, 155, 149, 144, 141, 
##     135, 133, 133, 133, 132, 132, 133, 133, 135, 136, 138, 139, 
##     140, 140, 140, 139, 139, 139, 138, 138, 136, 136, 136, 137, 
##     137, 138, 141, 144, 147, 163, 171, 174, 174, 164, 158, 146, 
##     143, 142, 136, 136, 137, 137, 138, 140, 140, 140, 140, 140, 
##     140, 139, 138, 138, 138, 140, 141, 142, 146, 149, 152, 155, 
##     168, 172, 178, -175, -172, -171, -171, -173, -174, -176, 
##     178, 175, 168, 164, 154, 143, 141, 140, 140, 140, 140, 139, 
##     140, 140, 140, 141, 141, 142, 143, 143, 143, 143, 142, 140, 
##     140, 140, 141, 144, 140, 141, 141, 141, 142, 142, 142, 141, 
##     141, 140, 139, 139, 139, 140, 142, 146, 156, 165, -171, -159, 
##     -158, -158, -158, -158, -160, -161, -163, -169, -177, 179, 
##     174, 162, 159, 156, 148, 145, 138, 137, 137, 138, 138, 139, 
##     139, 139, 139, 140, 141, 142, 142, 140, 140, 140, 142, 145, 
##     148, 152, 155, 159, 165, 169, 172, 176, -177, -174, -171, 
##     -166, -162, -159, -158, -157, -158, -159, -160, -163, -164, 
##     -172, -176, 175, 156, 153, 150, 144, 142, 140, 139, 138, 
##     137, 136, 135, 135, 135, 135, 136, 136, 137, 137, 137, 137, 
##     138, 138, 139, 139, 140, 141, 142, 173, -174, -165, -163, 
##     158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 
##     159, 159, 159, 161, 161, 163, 164, 165, 166, 166, 166, 166, 
##     167, 167, 168, 169, 169, 169, 168, 168, 168, 169, 169, 172, 
##     171, 169, 168, 166, 163, 162, 161, 160, 158, 157, 157, 156, 
##     156, 156, 156, 157, 157, 158, 158, 158, 158, 158, 158, 158, 
##     158, 158, 157, 157, 157, 156, 156, 156, 155, 156, 157, 158, 
##     160, 161, 165, 166, 166, 165, 163, 162, 162, 163, 163, 162, 
##     162, 161, 159, 153, 152, 151, 148, 149, 149, 149, 149, 150, 
##     152, 152, 153, 153, 153, 152, 151, 150, 149, 150, 152, 153, 
##     154, 154, 154, 154, 154, 156, 157, 157, 157, 157, 157, 156, 
##     154, 154, 154, 153, 151, 149, 150, 151, 151, 152, 151, 151, 
##     150, 149, 148, 146, 143, 141, 141, 140, 138, 137, 137, 138, 
##     138, 134, 136, 137, 141, 142, 142, 141, 141, 140, 139, 138, 
##     137, 137, 136, 136, 136, 137, 139, 142, 143, 147, 147, 147, 
##     149, 150, 152, 149, 148, 138, 134, 133, 133, 132, 132, 133, 
##     132, 133, 134, 135, 138, 139, 139, 139, 138, 137, 136, 135, 
##     135, 134, 135, 136, 137, 138, 139, 141, 145, 148, 155, 155, 
##     155, 155, 155, 155, 155, 156, 149, 146, 134, 132, 130, 129, 
##     130, 130, 130, 130, 131, 134, 134, 135, 136, 136, 136, 136, 
##     135, 134, 133, 130, 135, 142, 144, 145, 146, 146, 147, 148, 
##     149, 149, 149, 149, 148, 146, 144, 136, 133, 126, 125, 124, 
##     123, 125, 125, 125, 124, 125, 130, 130, 130, 129, 129, 126, 
##     126, 128, 137, 141, 146, 153, 157, 157, 154, 142, 136, 134, 
##     127, 127, 127, 127, 126, 125, 125, 126, 129, 130, 131, 131, 
##     131, 131, 129, 128, 129, 130, 133, 137, 145, 147, 157, 155, 
##     154, 153, 152, 147, 142, 140, 137, 134, 132, 131, 130, 130, 
##     130, 130, 130, 128, 127, 125, 126, 128, 131, 131, 130, 129, 
##     128, 128, 128, 128, 128, 129, 130, 132, 133, 142, 147, 149, 
##     151, 150, 150, 151, 152, 152, 147, 143, 140, 137, 136, 128, 
##     127, 128, 127, 126, 126, 125, 125, 124, 124, 131, 132, 132, 
##     132, 132, 132, 131, 131, 131, 130, 130, 129, 129, 130, 130, 
##     130, 130, 130, 129, 130, 130, 130, 129, 129, 129, 130, 130, 
##     130, 129, 129, 129, 129, 128, 128, 128, 128, 128, 128, 128, 
##     128, 128, 128, 128, 128, 128, 128, 129, 129, 129, 128, 128, 
##     128, 128, 127, 127, 127, 127, 127, 127, 127, 127, 127, 128, 
##     129, 129, 130, 132, 134, 142, 150, 158, 162, 165, 170, -177, 
##     -159, -159, -161, -164, -170, 156, 148, 131, 127, 122, 120, 
##     121, 122, 124, 124, 125, 125, 128, 130, 133, 136, 134, 131, 
##     131, 130, 130, 130, 131, 133, 135, 141, 152, 156, 159, 165, 
##     168, 173, -163, -163, -164, -175, 176, 166, 161, 144, 127, 
##     132, 136, 136, 135, 135, 137, 138, 139, 139, 139, 138, 138, 
##     138, 137, 136, 136, 136, 136, 136, 135, 135, 135, 135, 135, 
##     135, 135, 134, 134, 134, 134, 133, 133, 133, 133, 133, 133, 
##     133, 133, 133, 133, 133, 133, 133, 133, 132, 132, 132, 132, 
##     133, 133, 133, 133, 133, 133, 133, 134, 134, 135, 136, 136, 
##     137, 137, 138, 138, 138, 139, 140, 142, 143, 144, 146, 147, 
##     146, 146, 145, 143, 142, 142, 143, 143, 145, 147, 146, 147, 
##     149, 149, 148, 148, 147, 147, 148, 147, 147, 147, 148, 148, 
##     148, 148, 148, 148, 148, 147, 147, 148, 148, 148, 148, 147, 
##     148, 148, 148, 148, 148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25.9, 
##     -19.7, -9.83, -3.93, 1.27, 6.51, 12.8, 14.9, 18.5, 20.1, 
##     22.6, 23.9, 24.9, 25.3, 25.1, 25.5, 25.8, 26.1, -43.2, -45.1, 
##     -47, -48.6, -53.3, -51.6, -51.5, -51.8, -52, -52.1, -52.3, 
##     -52, -50.8, -49.1, -48.9, -48.9, -49.4, -49.7, -50, -50.1, 
##     -50.2, -50.3, -50.6, -51.3, -52, -51.7, -46.7, -43.1, -39.3, 
##     -22.2, -19.9, -17.7, -11.1, -5.25, -2.65, 2.44, 10.8, 13.7, 
##     26.2, 28, 29.8, 30, 29.8, 29.4, 29, 28.4, 28.3, 28.5, 28.8, 
##     29.3, 30.1, 30.7, 31.5, 32.5, 33.4, 34.2, 34.6, 34.8, 34.6, 
##     34.3, 33.9, 33.3, 31.7, 28.6, 27.5, 24.2, 22.5, 20.7, 18.9, 
##     17.3, 9.67, 6.98, -4.37, -9.17, -34, -36.5, -44, -45.3, -46.3, 
##     -48, -48.7, -49.3, -50.6, -51.4, -50.4, -49.3, -47.5, -47.6, 
##     -47.5, -46.3, -45.3, -45.2, -45.3, -45.5, -46.3, -46.9, -47.7, 
##     -48.1, -48.3, -48.6, -48.8, -49, -49.3, -49.6, -49.9, -50, 
##     -50.1, -49.4, -48.8, -48.2, -47.6, -46.7, -35.4, -33.7, -32, 
##     -29.6, -27.3, -15.7, -9.94, -7.05, -1.86, 0.07, 1.66, 3.45, 
##     5.44, 7.68, 13.9, 18.4, 20.3, 23.9, 25.2, 25.9, 27.2, 27.5, 
##     28.4, 29.3, 30, 35.9, 35.4, 34.7, 33.9, 32.4, 31.7, 30.7, 
##     30.4, 29.1, 28.1, 25.2, 23.6, 21.9, 20.2, 19, 17.8, 15.3, 
##     13.7, 11.7, 9.21, 6.46, -3.28, -18.6, -21.8, -26.5, -28.6, 
##     -31.6, -32.9, -36.6, -37.7, -40.6, -41.2, -40.5, -39.7, 32.3, 
##     35.4, 35.7, 35.9, 35.3, 34.5, 33.8, 33.5, 33.3, 32.9, 32.4, 
##     31.7, 29.8, 28.6, 24.5, 20, 18.5, 16.9, 5.69, -1.28, -4.68, 
##     -17.6, -19.5, -23.1, -14.9, -0.47, 1.13, 4.1, 5.51, 8.18, 
##     12.7, 16, 17.8, 19.5, 27, 28.9, 29.8, 30.7, 31.8, 33.1, 34.1, 
##     35, 35.8, 36.3, 35.8, 35.7, 35.8, 36.3, 37.4, 38.9, 38.9, 
##     38.9, 38.9, 38.3, 34.9, 33.1, 29.2, 25.3, 14, 9.11, 6.73, 
##     3.99, 1.55, -3.75, -6.4, -16.7, -20.7, -22.7, -27.8, -29.3, 
##     -32.5, -33.9, -35.9, -37.8, -38, -37.6, -35.2, -34.5, -33.6, 
##     -32.4, -29.3, -27.8, -19.2, -16.9, -2.19, 0.14, 5.15, 7.27, 
##     11.8, 18, 22.8, 27.4, 36.8, 37.6, 39.7, 40.4, 40.6, 40.4, 
##     40.1, 39.2, 38.9, 38.7, 38.5, 38.7, 39.3, 39.5, 39.5, 39.3, 
##     39.1, 37.9, 37.3, 36.9, 36.3, 34.3, 30.1, 26.7, 23.1, 21.1, 
##     19.3, 17.1, 15, 9.75, 4.29, 1.14, -11.6, -15, -21.2, -31.3, 
##     -33.2, -34.9, -39.6, -40.9, -42.7, -43.7, -44.4, -46.7, -46.4, 
##     -45.8, -45.2, -44.5, -43.1, -42.3, -40.9, -38.3, -35.6, -19.3, 
##     -17.1, -11.9, 3.04, 7.99, 12.3, 20.2, 24, 26.2, 30.4, 33.9, 
##     36.3, 38.8, 40.1, 41.5, 42.3, -40.9, -42.1, -43.6, -44.8, 
##     -45.7, -47.9, -48.7, -51.1, -52.3, -52.8, -53.2, -53.8, -54.1, 
##     -54, -50, -47.8, -45, -42.5, -19.8, -5.08, 2.43, 9.23, 11.7, 
##     11.7, 7.73, -0.38, -5.02, -24, -26.7, -29.2, -32.5, -35.3, 
##     -36.4, -37.6, -42.5, -43.4, -44.3, -45.5, -45.8, -46, -45.7, 
##     -45.4, -45.1, -44.6, -44.3, -42.3, -41.5, -40.8, -39.9, -34.9, 
##     -12.1, -9.84, -7.32, -5.19, -2.55, -0.1, 2.8, 12.5, 22.1, 
##     24.9, 27.1, 30.7, 34.4, 41.4, 43.4, 43.7, 43.8, 44, 44.2, 
##     44.8, 44.9, 45, 45, 45.1, 45.2, 45.5, 45.6, 45.6, 43.8, 16.5, 
##     19.1, 23.7, 31, 36.2, 37.2, 37.9, 38.2, 38.2, 38.5, 41, 41.7, 
##     41.2, 41.1, 40.8, 40.5, 40.1, 37.3, 22.3, 43.6, 44.1, 43.3, 
##     41.6, 36.2, 32.5, 31.4, 27.9, 22, 19.7, 16.6, 13, 9.48, 5.21, 
##     -2.54, -10.1, -19.3, -22, -24.4, -27, -29, -30.9, -34.3, 
##     -39.6, -29.6, -35.5, -35.9, -36.4, -37.9, -38.9, -38.9, -39, 
##     -38.8, -38.5, -37, -34.7, -30.6, -29.1, -25.7, -23.8, -21.6, 
##     -17.2, -34.9, -33.9, -33.1, -32.3, -31.5, -30.2, -25.7, -17.7, 
##     -15.6, -13.4, -6.48, -4.13, -2.14, -0.04, 4.09, 6.15, 15.6, 
##     21.1, 22.5, 25.8, 28.6, 31.1, 31.7, 26.6, 26.7, 26.9, 27.1, 
##     27.7, 28, 28.1, 28.1, 27.9, 23.5, 21.5, 19.5, 16.8, 14.4, 
##     7.82, 6.33, 3.46, 1.57, -3.85, -7.19, -19.3, -23.1, -29.2, 
##     -31.9, -38.9, -41.1, 147, 147, 147, 147, 147, 147, 147, 147, 
##     147, 147, 147, 147, 147, 146, 146, 146, 146, 146, 145, 144, 
##     145, 132, 131, 131, 132, 132, 132, 132, 132, 132, 132, 132, 
##     132, 132, 132, 132, 133, 133, 133, 133, 133, 146, 147, 146, 
##     146, 145, 145, 146, 147, 148, 149, 149, 147, 142, 141, 141, 
##     142, 143, 147, 148, 149, -176, -175, -175, -173, -173, -172, 
##     -173, -173, -173, -174, -174, -175, -175, -175, -175, -175, 
##     -175, -175, 175, 174, 172, 171, 170, 168, 168, 168, 169, 
##     169, 170, 171, 172, 173, 174, 175, 176, 176, 177, 178, 179, 
##     179, -180, -179, -178, -177, 180, 179, 177, 176, 174, 173, 
##     172, 171, 171, 171, 171, 171, 172, 172, 172, 172, 173, 177, 
##     177, 179, 180, -180, -179, -179, -179, -178, -176, -175, 
##     -175, 167, 165, 162, 161, 156, 149, 142, 139, 137, 137, 139, 
##     139, 138, 138, 138, 139, 139, 140, 140, 140, 140, 139, 139, 
##     140, 142, 142, 143, 143, 143, 143, 144, 144, 144, 143, 142, 
##     142, 141, 140, 140, 140, 140, 141, 142, 145, 146, 147, 151, 
##     157, 159, 163, 164, 165, 146, 145, 145, 146, 146, 147, 146, 
##     146, 146, 148, 149, 149, 149, 150, 150, 151, 151, 151, 151, 
##     151, 151, 151, 148, 146, 146, 146, 146, 147, 147, 147, 147, 
##     148, 148, 149, 148, 148, 148, 149, 149, 149, 149, 149, 148, 
##     147, 148, 150, 151, 154, 155, 156, 156, 156, 157, 158, 158, 
##     157, 156, 155, 155, 153, 151, 147, 147, 147, 146, 146, 150, 
##     -166, -162, -161, -161, -160, -162, -165, -170, -175, 179, 
##     165, 159, 154, 150, 147, 143, 139, 139, 138, 138, 138, 138, 
##     138, 138, 138, 139, 139, 139, 151, 151, 149, 149, 149, 149, 
##     149, 149, 149, 149, 148, 148, 148, 148, 148, 148, 148, 149, 
##     149, 149, 149, 149, -131, -132, -133, -142, -145, -150, -153, 
##     -159, -164, -169, 173, 162, 156, 154, 153, 151, 151, 150, 
##     149, 149, 150, 153, 155, 167, 173, 179, -166, -162, -155, 
##     -152, -150, -147, -138, -136, -135, -132, -132, -133, -133, 
##     -133, -136, -138, -140, -142, -146, -149, -158, -176, 174, 
##     151, 145, 144, 141, 140, 140, 140, 141, 141, 142, 143, 143, 
##     144, 146, 148, 167, 172, -171, -166, -161, -157, -154, -152, 
##     141, 142, 143, 148, 150, 153, 156, 172, -173, -165, -152, 
##     -149, -147, -135, -134, -135, -135, -135, -136, -138, -143, 
##     -145, -158, -161, -175, -179, 176, 166, 161, 156, 151, 145, 
##     140, 139, 138, 137, 136, 136, 136, 136, 137, 137, 138, 139, 
##     140, 141, 142, 147, 153, 167, -171, -160, -150, -148, -146, 
##     -143, -139, -136, -135, -133, -132, -132, -132, -132, -133, 
##     -134, -135, -138, -139, -143, -147, -150, -155, -159, 128, 
##     128, 128, 127, 127, 126, 127, 129, 130, 131, 132, 133, 134, 
##     136, 139, 150, 161, 162, 163, 171, 167, 143, 137, 132, 128, 
##     125, 124, 123, 121, 121, 121, 122, 122, 122, 122, 122, 122, 
##     122, 123, 123, 123, 123, 124, 124, 124, 123, 123, 123, 123, 
##     124, 124, 124, 125, 125, 130, 133, 136, 140, 123, 121, 121, 
##     121, 120, 119, 119, 119, 120, 120, 121, 121, 121, 121, 120, 
##     120, 120, 119, 121, 121, 122, 122, 122, 122, 123, 123, 128, 
##     138, 147, 151, 153, 154, 154, 154, 154, 153, 153, 153, 154, 
##     155, 156, 157, 158, 163, 173, -179, -169, -160, -157, -155, 
##     -155, -155, -155, -155, -161, -165, -176, 177, 171, 160, 
##     157, 153, 149, 142, 143, 143, 143, 143, 143, 142, 142, 143, 
##     143, 144, 144, -157, 175, 163, 148, 145, 143, 142, 138, 132, 
##     130, 131, 131, 131, 131, 131, 130, 130, 130, 130, 131, 133, 
##     133, 134, 138, 140, 142, 148, 156, 161, 172, -177, -172, 
##     -167, -156, -154, -149, -148, -146, -150, -153, -161, -178, 
##     177, 166, 160, 146, 138, 137, 136, 135, 134, 134, 134, 134, 
##     134, 134, 135, 135, 136, 138, 140, 141, 143, 145, 147, 150, 
##     153, 162, 167, -166, -162, -151, -148, 136, 136, 139, 140, 
##     144, 147, 149, 156, 160, 164, 168, 173, -178, -174, -165, 
##     -158, -155, -153, -151, -150, -148, -146, -146, -146, -152, 
##     -158, -161, -165, -169, 167, 161, 158, 151, 146, 144, 140, 
##     138, 134, 134, 134, 134, 134, 134, 134, 134, 135, 135, 135, 
##     136, 136, 138, 141, 145, 149, 152, 155, 162, 175, 180, -176, 
##     137, 137, 137, 137, 136, 136, 136, 137, 137, 137, 137, 140, 
##     142, 143, 148, 152, 161, 180, -176, -169, -166, -159, -156, 
##     -154, -149, -140, -140, -141, -142, -146, -150, -155, -157, 
##     -164, -171, -176, 178, 174, 169, 157, 154, 148, 147, 147, 
##     145, 145, 143, 142, 141, 141, 141, 141, 141, 141, 142, 143, 
##     145, 147, 150, 152, 155, 158, 161, 165, 173, -178, -170, 
##     -150, -143, -141, -139, -137, -136, -137, -138, -139, -141, 
##     -142, -144, -149, -152, -173, 158, 143, 137, 136, 136, 137, 
##     137, 138, 139, 140, 140, 147, 152, 162, 169, 173, 178, -178, 
##     -174, -169, -162, -159, -156, -154, -152, -147, -146, -145, 
##     -146, -156, -159, -166, -169, 164, -27.3, -30.6, -33.1, -40.2, 
##     -42.6, -53.2, -54.3, -58.5, -59.5, -61.3, -62.9, -65.2, -68.6, 
##     -71.7, -71.9, -71.2, -15, -29.7, -33.8, -49.4, -55.3, -59.3, 
##     -61.3, -63.4, -65.9, -71.3, -72.1, -72.6, -73, -73.9, -74.1, 
##     -74.1, -70.8, -70.1, -69.3, -68.4, -67.8, -65.8, -64.7, -63.4, 
##     -57, -48.5, -32.2, -28.7, -21.6, -17.7, -14.6, -11.1, -4.53, 
##     5.09, 7.58, 10.1, 14.7, 20.5, 23, 23.8, 21.6, 17, 8.85, 3.68, 
##     0.4, -3.13, -7.39, -30, -35, -39.7, -43, -46.3, -49.4, -54.7, 
##     -56.8, -58.3, -61.4, -64.2, -66.6, -68.7, -69.8, -71.7, -72.5, 
##     -73.2, -74.3, -74.6, -74.7, -75.1, -76.2, -76.3, -75.9, -75.5, 
##     -75.3, -75.1, -74.9, -74.4, -73.3, -72.4, -70, -65.1, -61.7, 
##     -59.6, -57.2, -54.8, -33.7, -26.5, -7.85, -4.42, 1.36, 7.43, 
##     13.6, -53.9, -39, -29.3, -23.6, -17.8, -7.81, 8.1, 12.1, 
##     19.6, 23.9, 27.6, 30.3, 34.8, 40.6, 41.4, 42.1, 40.2, 39.2, 
##     36.4, 34.5, 32.3, 25.4, 21.5, 16.4, 4.22, -3.14, -25.6, -47.9, 
##     -55.7, -58.9, -61.4, -63.4, -66.2, -67.5, -68.7, -69.7, -75.4, 
##     -76.5, -80.5, -81.6, -82.6, -84.3, -84.6, -84.8, -84.2, -83.9, 
##     -82.9, -82.6, -82.2, -80.8, -79.6, -74.4, -72.5, -58.4, -54.9, 
##     -50.3, -37.9, -30.9, -1.59, 19.6, 23.7, 27.1, 30.6, 33.4, 
##     36.4, 42.3, 44.7, 46.5, 48.3, 47.9, 47, 46.8, 46.5, 42.3, 
##     40.3, 36.6, 28.2, 17.9, -6.61, -27, -65.5, -68.4, -70.4, 
##     -71.8, -73.2, -74.5, -76, -77, -77.9, -80.7, -81.5, -82.4, 
##     -83.1, -83.8, -85.6, -85.8, -85.4, -85.1, -85.7, -86.2, -86.4, 
##     -87, -87.2, -87.4, -87.5, -87.6, -87.4, -80.5, -79.4, -69, 
##     -54.1, -47.3, -32.5, -15.3, -5.09, 32.2, 48, 51.5, 58.5, 
##     59.3, 60.8, 62.5, 62.8, 62.3, 61.5, 60.6, 56.5, 50.9, 44.4, 
##     39.8, 22.7, -13.8, -25.4, -43.7, -93.3, -92.8, -90, -89.1, 
##     -82.2, -77.2, -19.6, 0, 19.1, 33.3, 55.2, 64.9, 75.6, 76, 
##     75.2, 73.3, 73, 73.1, 73.2, 73.3, 73.4, 71.6, 69, 68.1, 67.7, 
##     22.9, -32.9, -97.1, -97, -97.1, -97.7, -97.5, -97.3, -96.7, 
##     -96.6, -96.6, -96.9, -97.1, -97.3, -97.4, -97.5, -98, -98.4, 
##     -98.6, -98.7, -98.8, -99, -99.4, -101, -101, -103, -103, 
##     -99.8, -99.3, -97.6, -96.4, -93.3, -87.7, 7.71, 53, 74.1, 
##     -179, 179, 178, 178, 177, 173, 172, 171, 171, 172, 172, 174, 
##     175, 175, 175, 176, 177, 178, -179, -178, -176, -176, -175, 
##     -175, -174, -174, -174, -173, -173, -173, -172, -172, -172, 
##     -173, -174, -176, -176, -176, -175, -175, -174, -174, -173, 
##     -173, -174, -174, -174, -174, -174, -174, -175, -176, -179, 
##     179, 178, 176, 175, 175, 175, 175, 175, 175, 176, 176, 176, 
##     178, 178, -178, -176, -176, -175, -173, -173, -172, -171, 
##     -171, -170, -170, -170, -171, -172, -173, -173, -173, -173, 
##     -172, -172, -173, -173, -173, -173, -173, -173, -174, -173, 
##     -173, -173, -173, -173, -172, -171, -171, -170, -169, -169, 
##     177, 177, 178, 178, 179, -177, -177, -175, -174, -177, -178, 
##     -178, -179, -179, -179, -178, -178, -177, -177, -176, -176, 
##     -176, -177, -179, -179, -179, -179, -179, -180, 179, 178, 
##     178, 177, 175, 173, 171, 170, 170, 170, 170, 170, 171, 171, 
##     172, 174, 174, 177, 178, 178, 179, 179, -178, -178, -179, 
##     -179, -179, -180, -180, -180, 180, -180, -179, -177, -178, 
##     -180, -180, -180, -179, -179, -178, -178, -177, -177, -177, 
##     -176, -176, -176, -176, -177, -177, -178, -178, -178, -179, 
##     -180, 180, 179, 179, 175, 175, 175, 175, 176, 176, 176, 176, 
##     177, 177, 177, 177, 177, 177, 178, 179, 179, 179, 179, 179, 
##     -178, -178, -175, -175, -176, -179, -180, 180, 179, 179, 
##     -180, -179, -179, -179, -179, -179, -179, -179, 178, 177, 
##     177, 177, 177, 177, 177, 177, 177, 177, 177, 176, 176, 176, 
##     175, 176, 176, 176, 178, 178, 179, 179, 180, -179, -178, 
##     -178, -178, -179, -179, -179, -179, -179, -178, -177, -176, 
##     -176, -176, -176, -176, -176, -177, -177, -177, -177, -178, 
##     -178, -179, -179, -179, -176, -176, -176, -176, -176, -176, 
##     -177, -178, -178, -179, -180, 180, 178, 178, 177, 177, 177, 
##     177, 177, 178, 179, 179, 180, 179, 180, -180, -179, -179, 
##     -179, -179, -179, -178, -178, -177, -176, -176, -176, -177, 
##     -178, -178, -178, -178, -178, -178, -178, -178, -176, -176, 
##     -176, -178, -178, -179, -179, -180, 180, 179, 179, 178, 178, 
##     178, 178, 176, 176, 175, 175, 175, 174, 174, 174, 174, 175, 
##     175, 176, 179, 179, 180, -179, -178, -177, -177, -176, -176, 
##     -176, -176, -175, -175, -173, -172, -172, -174, -175, -176, 
##     -178, -178, -178, -177, -177, -177, -177, -178, -179, -179, 
##     -180, 179, 178, 178, 178, 178, 179, 179, 179, 179, 179, 179, 
##     179, 179, 179, 178, 177, 177, 177, 180, 180, 180, 180, 180, 
##     -180, -180, 180, -180, -179, -178, -177, -177, -178, -179, 
##     -179, -179, -179, -179, -179, -178, -177, -177, -177, -177, 
##     -177, -177, -177, -177, -177, -177, -177, -178, 179, -179, 
##     -179, -178, -178, -178, -177, -177, -177, -179, -180, 180, 
##     180, -180, -179, -178, -177, -177, -177, -177, -156, -156, 
##     -162, -165, -173, -179, 147, 143, 131, 130, 131, 133, 134, 
##     135, 137, 137, 137, 137, 136, 137, 138, 142, 146, 158, 163, 
##     169, 175, -170, -159, -156, -154, -152, -150, -145, -145, 
##     -144, -144, -145, -162, -175, 178, 158, 153, 146, 143, 142, 
##     140, 137, 137, 137, 137, 138, 139, 139, 138, 138, 138, 138, 
##     138, 138, 138, 138, 138, 137, 137, 137, 137, 137, 136, 136, 
##     136, 136, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 
##     137, 137, 137, 137, 137, 137, 137, 137, 137, 136, 136, 137, 
##     137, 139, 140, 143, 146, 154, 157, 161, 165, 169, 178, -178, 
##     -163, -160, -145, -143, -141, -139, -138, -138, -138, -137, 
##     -137, -137, -138, -144, -145, -147, -154, -162, -170, -174, 
##     -177, 177, 171, 166, 166, 164, 164, 165, 167, 170, 173, 178, 
##     -177, -164, -157, -147, -143, -142, -140, -137, -135, -135, 
##     -135, -135, -138, -140, -143, -151, -156, -170, 175, 172, 
##     167, 164, 160, 155, 152, 152, 152, 149, 148, 148, 148, 149, 
##     151, 153, 155, 161, 163, 169, 172, -171, -159, -156, -150, 
##     -146, -141, -138, -138, -137, -138, -139, -141, -152, -159, 
##     -161, -164, -172, -177, 178, 166, 149, 148, 147, 146, 145, 
##     144, 144, 144, 144, 145, 145, 146, 146, 147, 148, 150, 154, 
##     162, -179, -176, -172, -164, -158, -153, -151, -143, -140, 
##     -137, -137, -137, -137, -138, -145, -146, -163, -159, -156, 
##     -153, -150, -148, -147, -142, -140, -138, -136, -135, -134, 
##     -133, -133, -133, -133, -134, -135, -137, -139, -143, -149, 
##     -152, -160, -167, -175, 176, 162, 160, 159, 156, 155, 155, 
##     155, 155, 157, 160, 162, 177, -179, -175, -156, -146, -141, 
##     -132, -130, -129, -129, -129, -129, -129, -129, -130, -130, 
##     148, 148, 148, 150, 151, 152, 158, 161, 165, 177, -178, -178, 
##     -178, -179, 179, 177, 175, 172, 168, 161, 146, 145, 145, 
##     145, 146, 145, 145, 145, 146, 147, 148, 149, 149, 150, 153, 
##     157, 161, 166, 168, 172, 175, -179, 179, 175, 173, 171, 164, 
##     157, 151, 148, 146, 143, 141, 140, 142, 143, 144, 143, 142, 
##     141, 142, 142, 143, 143, 144, 146, 155, 158, 158, 160, 160, 
##     165, 165, 168, 171, 179, 180, 179, 178, 173, 156, 153, 148, 
##     146, 143, 141, 139, 142, 143, 143, 142, 142, 144, 144, 145, 
##     146, 148, 151, 144, 144, 144, 145, 145, 145, 144, 145, 147, 
##     147, 149, 152, 156, 163, 166, 170, 170, 170, 170, 175, 177, 
##     179, -179, -177, -177, -177, -179, 154, 157, 157, 157, 164, 
##     168, 174, 179, -173, -171, -171, -172, -174, -175, -176, 
##     -180, 176, 169, 164, 161, 158, 156, 153, 151, 150, 148, 147, 
##     147, 147, 145, 146, 147, 148, 148, 150, 151, 154, 159, 162, 
##     164, 172, -179, -174, -171, -169, -168, -169, -169, -171, 
##     -174, -176, 177, 165, 152, 142, 141, 140, 138, 138, 138, 
##     138, 137, 137, 137, 138, 138, 139, 139, 140, 144, 149, 162, 
##     165, 168, 174, 179, -176, -174, -173, -173, -173, -173, -173, 
##     -173, -173, -173, -175, -176, -180, 178, 173, 167, 165, 156, 
##     154, 145, 144, 143, 142, 142, 142, 142, 142, 143, 147, 149, 
##     154, 155, 156, 168, 170, 175, -175, -177, -178, -180, 180, 
##     179, 177, 176, 174, 172, 166, 163, 161, 161, 158, 157, 153, 
##     149, 147, 143, 143, 142, 143, 143, 144, 145, 145, 146, 147, 
##     148, 149, 152, 162, 165, 167, 169, 176, -177, -170, 150, 
##     150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 
##     150, 150, 150, 150, 150, 150, 151, 151, 151, 150, 150, 150, 
##     149, 149, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 
##     147, 147, 148, 148, 148, 148, 148, 150, 150, 152, 152, 153, 
##     152, 152, 152, 152, 152, 152, 152, 152, 152, 149, 149, 148, 
##     148, 148, 148, 148, 148, 148, 148, 147, 147, 147, 147, 147, 
##     148, 148, 148, 148, 148, 148, 148, 148, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35.5, 32.5, 
##     30.8, 29.5, 20.7, 9.22, 1.11, -20.1, -24.8, -27.1, -31.8, 
##     -44, -46.4, -47.6, -49.6, -49.2, -48.5, -46.8, -44, -43.3, 
##     -42.5, -41.5, -39, -33.9, -32.1, -26, -23.5, 41.9, 41.6, 
##     41.5, 41.4, 41.1, 40.6, 39.8, 36.1, 34.7, 33.2, 31.7, 30.2, 
##     28.6, 26.7, 22.9, 18.1, 15.7, 12.8, 6.9, 3.61, -6.64, -10.2, 
##     -20.6, -26, -30.5, -45.4, -47.5, -45, -44.5, -44.1, -43.1, 
##     -40.8, -31.6, -21.1, -18.8, -16, -13.1, 15.1, 18.7, 22.1, 
##     25, 27.8, 30.6, 36.6, 37.9, 38.9, 39.9, 40.7, 43.3, 45.6, 
##     45.9, 45.8, 45, 43.8, 42.9, 42.7, 42.6, 42.6, 43.2, 43.1, 
##     42.6, 42.1, 39.2, 32.6, 25.1, 22.2, 19.1, 14.8, 10.8, -2, 
##     -12.6, -15.8, -18.7, -23.9, -28.6, -38.5, -39.4, -41.7, -42, 
##     -42.6, -43.3, -43.7, -44.1, -44.2, -44.1, -43.9, -43.1, -40.2, 
##     -39, -31.5, -28.1, -25.8, -23.4, -21.5, 47.9, 47.7, 47.5, 
##     47.2, 46.9, 46.5, 43.8, 42.9, 41.2, 40.2, 37.2, 34.5, 31, 
##     27.1, 22.7, 13.7, 4.98, 0.89, -2.44, -5.74, -9.27, -19.9, 
##     -24.4, -26.3, -27.9, -31.4, -32.8, -35.4, -37.9, -41.4, -42.3, 
##     -42.9, -43.1, 34.3, 37.5, 40, 40.4, 40.7, 40.6, 40.6, 41, 
##     41.2, 41.4, 41.4, 40.5, 33.7, 26.9, 22.7, 18.4, 10, 0.98, 
##     -13.8, -16.6, -19, -21.4, -22.6, -24.4, -24.3, -24.2, -23.8, 
##     -23.7, -23.7, -24, -56.6, -71.4, -77, -80.2, -83, -87.6, 
##     -89.9, -92.5, -92.4, -92, -93.5, -94.1, -95.3, -95.7, -94.6, 
##     -94.5, -94.3, -93.9, -68.2, -69.4, -72.5, -73.2, -73.9, -74.5, 
##     -75.2, -75.7, -76.1, -76.5, -77.1, -77.7, -78.2, -78.8, -80.9, 
##     -80.4, -80, -79.6, -79.2, -78.3, -78, -77.7, -76.9, -76, 
##     -75.4, -73.8, -72.9, -72, -71.3, -70.5, -62.5, -59.9, 19.3, 
##     21.4, 23, 21.8, 18.7, 16.9, 15.4, 13.4, 9.27, 7.05, -3.95, 
##     -42.3, -49.7, -53.4, -66.9, -69.9, -68.2, -67.8, -67, -64.4, 
##     -62.2, -52.9, -50.6, -42.5, -33.4, -29.8, -23.2, -20.1, -16.9, 
##     -8.41, -5.9, -3.76, -1.42, 0.53, 6.12, 8.33, 8.69, 8.44, 
##     6.75, 2.3, 0.43, -6.38, -9.18, -43.2, -42.4, -42.8, -43.4, 
##     -44.1, -45.6, -46.1, -46.7, -45.2, -44, -42.8, -34.9, -27.5, 
##     -8.29, 1.5, 4.58, 18.1, 25.5, 29.1, -19.8, 3.81, 6.9, 13, 
##     16.7, 25.9, 29.6, 31.8, 39.1, 44.6, 46.6, 47.2, 47.3, 47, 
##     46.7, 46.4, 46.6, 46.9, 48.2, 48.3, 48.2, 48.1, -21.3, -18.8, 
##     -16.2, -13, -7.29, 4.9, 7.49, 14.3, 18.7, 20.7, 22.6, 28, 
##     29.4, 30.7, 32.8, 34.7, 35.4, 36.3, 39.1, 39.6, 40.1, 40.3, 
##     149, 149, 149, 148, 148, 148, 148, 148, 148, 148, 149, 149, 
##     149, 149, 148, 148, 149, 149, 149, 149, 148, 148, 148, 148, 
##     148, -172, -179, 170, 168, 161, 158, 156, 151, 149, 148, 
##     148, 148, 148, 149, 149, 149, 149, 149, 151, 151, 150, 171, 
##     169, 166, 163, 160, 158, 146, 145, 145, 144, 144, 144, 144, 
##     146, 147, 145, 145, 145, 146, 156, 164, 167, 169, 172, 178, 
##     -180, -179, 180, 180, 179, 179, 179, 171, 163, 157, 155, 
##     149, 148, 147, 146, 146, 146, 146, 146, 146, 145, 144, -179, 
##     -178, -178, -178, 179, 177, 175, 175, 174, 174, 175, 175, 
##     175, 177, 179, 179, 180, -179, -178, 180, 180, 180, -179, 
##     -177, -177, -176, -176, -176, -178, -179, -180, -180, 179, 
##     179, 179, 180, -179, -179, -178, -178, -177, -178, -178, 
##     -178, -178, -176, -176, -176, -176, -176, -176, -176, -175, 
##     -175, -176, -176, -177, 179, 178, 177, 176, 175, 174, 173, 
##     172, 172, 171, 171, 171, 171, 171, 171, 172, 173, 173, 174, 
##     176, 177, 178, -178, -177, -176, -176, -176, -175, -175, 
##     -175, -174, -174, -174, -174, -174, -174, -175, -176, -178, 
##     -178, -178, -177, -177, -176, -176, -168, -168, -168, -168, 
##     -168, -169, -170, -171, -173, -174, -175, -180, 176, 175, 
##     174, 173, 169, 168, 167, 167, 168, 170, 170, 171, 172, 173, 
##     -171, -166, -161, -157, -154, -148, -144, -143, -142, -143, 
##     -144, -147, -149, -157, -160, -164, -176, 175, 169, 164, 
##     161, 147, 144, 139, 138, 138, -144, -143, -142, -146, -149, 
##     -159, -163, -167, 158, 153, 143, 139, 135, 131, 132, 132, 
##     132, 132, 132, 132, 132, 132, 131, 145, 151, 154, 156, 159, 
##     161, 173, -180, -175, -163, -152, -151, -151, -155, 143, 
##     150, 154, 163, 167, 171, -177, -176, -177, -178, -180, 171, 
##     168, 165, 162, 157, 153, 146, 137, 133, 131, 129, 128, 123, 
##     -140, -138, -136, -134, -133, -132, -132, -132, -132, -132, 
##     -133, -134, -135, -137, -139, -143, -146, -150, -158, -178, 
##     170, 148, 146, 144, 142, 140, 139, 138, 139, 140, -148, -152, 
##     -156, -159, -161, -164, -166, -169, 177, 169, 163, 159, 158, 
##     157, 157, 159, 168, 171, 174, 177, -176, -173, -170, -166, 
##     -114, -115, -117, -120, -124, -127, -136, -137, -137, -137, 
##     -137, -138, -141, -143, -144, -152, -154, -156, -157, -159, 
##     -162, -168, -170, -171, -172, -174, -176, -177, -178, -178, 
##     -179, -179, 180, 179, 178, 177, 176, 176, 176, 177, 177, 
##     152, 151, 151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 164, 140, 138, 137, 137, 138, 138, 138, 137, 
##     136, 134, 134, 134, 134, 134, 134, 134, 134, 134, 133, 133, 
##     133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 
##     133, 133, 133, 133, 133, 133, 133, 133, 134, 134, 134, 134, 
##     134, 135, 135, 134, 134, 134, 134, 134, 134, 134, 135, 136, 
##     138, 139, 148, 152, 159, -167, -160, -156, -151, -148, -141, 
##     -139, -138, -137, -137, -137, -138, -140, -141, -142, -144, 
##     -146, -146, -146, -146, -145, -144, -144, -144, -144, -144, 
##     -143, -143, -143, -143, -144, -145, -150, -168, 163, 138, 
##     134, 130, 128, 127, 128, 128, 132, 135, 137, 139, 140, 140, 
##     139, 139, 138, 139, 139, 139, 139, 140, 140, 140, 141, 142, 
##     150, 157, 167, -178, -174, -170, -165, -159, -157, -154, 
##     -151, -148, -141, -142, -146, -148, -147, -146, -146, -145, 
##     -146, -146, -146, -146, -146, -146, -156, -159, -165, -173, 
##     179, 172, 166, 160, 151, 144, 141, 140, 139, 139, 138, 138, 
##     138, 138, 140, 141, 141, 141, -146, -147, -150, -153, -170, 
##     169, 153, 145, 142, 139, 137, 134, 134, 135, 137, 139, 141, 
##     141, 140, 140, 143, 150, 174, -169, -160, -157, -154, -152, 
##     -145, -149, -148, -147, -147, -149, -151, -152, -153, -156, 
##     -160, -162, -165, -172, -178, 165, 161, 157, 150, 148, 146, 
##     145, 144, 143, 142, 142, 143, 144, 145, 145, 146, 155, 157, 
##     160, 163, 169, 173, 176, -173, -169, -166, -155, -148, -145, 
##     -145, -145, -147, -148, -150, -150, -148, -147, -148, -149, 
##     -151, -152, -154, -156, -157, -158, -160, -170, -167, -165, 
##     -162, -156, -154, -152, -151, -151, -151, -152, -153, -156, 
##     -158, -157, -157, -158, -158, -159, -159, -160, -161, -162, 
##     -167, -169, -175, -179, 177, 172, 165, 160, 156, 152, 146, 
##     140, 139, 139, 139, 140, 142, 142, 143, 143, 143, 143, 143, 
##     143, 143, 143, 142, 142, 145, 162, -177, -175, -168, -162, 
##     -152, -152, -152, -152, -153, -153, -153, -155, -158, -159, 
##     -163, -165, -174, 178, 151, 137, 130, 127, 125, 128, 139, 
##     143, 145, 153, 153, 153, 153, 153, 153, 151, 151, 150, 149, 
##     150, 153, 154, 156, 158, 161, 166, 171, 175, 177, -153, -153, 
##     -154, -154, -155, -155, -156, -156, -159, -161, -163, -172, 
##     -176, -179, 178, 175, 170, 167, 164, 154, 147, 144, 142, 
##     140, 140, 140, 141, 141, 142, 143, 145, 145, 146, 148, 149, 
##     147, 147, 147, 147, 148, 149, 151, 153, 156, 159, 162, 176, 
##     -178, -174, -170, -164, -156, -155, -156, -157, -157, -157, 
##     -157, -157, -158, -158, -159, -159, -163, -165, -167, -169, 
##     -171, -173, -175, -179, 170, 164, 159, 140, 138, 138, 138, 
##     138, 139, 139, 142, 142, 142, 142, 142, 142, 141, 141, 140, 
##     139, 139, 139, 139, 139, 139, 139, 138, 139, 139, 139, 139, 
##     140, 140, 140, 140, 141, 141, 141, 141, 141, 141, 141, 141, 
##     141, 141, 141, 142, 144, 145, 146, 146, 146, 146, 146, 147, 
##     147, 147, 147, 148, 148, 147, 147, 148, 148, 149, 151, 151, 
##     152, 153, 153, 153, 153, 152, 151, 151, 148, 148, 146, 152, 
##     148, 136, 135, 135, 134, 133, 132, 132, 133, 134, 134, 135, 
##     135, 136, 137, 138, 140, 141, 143, 146, -178, -173, -151, 
##     -145, -144, -148, -164, 170, 164, 147, 138, 135, 133, 132, 
##     129, 128, 128, 126, 122, 122, 122, 120, 119, 118, 117, 114, 
##     116, 117, 117, 118, 118, 118, 119, 120, 120, 120, 119, 119, 
##     118, 117, 117, 117, 118, 118, 118, 129, 134, 151, 161, -161, 
##     -156, -154, -155, -155, -154, -154, -155, -157, -162, -167, 
##     -169, 179, 172, 164, 148, 145, 142, 139, 137, 134, 133, 131, 
##     131, 131, 131, 131, 132, 134, 134, 135, 134, 134, 132, 131, 
##     131, 131, 135, 137, 150, 155, 165, 176, -174, -168, -167, 
##     -168, -167, -167, -167, -168, -169, -173, 179, 158, 153, 
##     141, 140, 138, 75.4, 75, 74.2, 74.1, 76.6, 80.2, 79.4, 79.2, 
##     79.1, 79.3, 80.9, 83, 84.2, 84.5, 84.2, 83.2, 83, 129, -100, 
##     -101, -101, -101, -102, -102, -102, -102, -103, -103, -103, 
##     -103, -103, -103, -101, -100, -102, -102, -102, -103, -104, 
##     -105, -107, -111, -113, -115, -119, -154, 160, 143, 133, 
##     125, 111, 102, 96.5, 93.8, 90.2, 89, 88.1, 87.9, 88.2, 92.1, 
##     92.2, 92.1, 90.9, 91.1, 91.6, 92.1, 93.9, 98.6, 114, -118, 
##     -115, -113, -113, -112, -112, -112, -112, -112, -112, -112, 
##     -112, -112, -112, -110, -109, -108, -108, -109, -109, -109, 
##     -109, -113, -114, -115, -115, -115, -116, -116, -117, -121, 
##     -130, -132, -134, -141, -144, -154, -159, 177, 152, 144, 
##     132, 116, 109, 108, 103, 104, 105, 105, 105, 105, 105, 104, 
##     103, 103, 102, 101, 99.3, 98.5, 97.4, 97.6, 97.6, 96.6, 95.1, 
##     94.3, 92.1, 89.9, 87.1, 84.2, 82.6, 77, 75.2, 69.6, 66.5, 
##     63.8, 62.5, 61.2, 60.1, 55.3, 54.5, 53.7, 51.9, 50, 49.4, 
##     47.7, 46.5, 46.1, 45.5, 43.2, 42, 38.1, 35.6, 32.3, 29.3, 
##     25.5, 22.1, 18.1, 13.5, 7.76, 2.24, -24.6, -31.2, -36.8, 
##     -41.4, -45.7, -58.5, -61, -63, -63.5, -64.2, -64.9, -68, 
##     -68.3, -68.4, -68.5, -68.5, -68.5, -68.4, -68.3, -67.7, -66.9, 
##     -66.4, -65.8, -64.8, -64.2, -60.5, -59.2, -57.6, -55.9, -54.4, 
##     -50.6, -48.1, -45.4, -42.7, -33.5, -29.4, -21, -11.5, -6.93, 
##     2.09, 20.2, 22.8, 27.2, 32.5, 35.6, 40, 40.9, 41.8, 41.5, 
##     41.4, 41.3, 41.2, 41.4, 42.2, 42.1, 40, 37.6, 33.7, 29.1, 
##     24, 21.1, 7.96, -11.7, -34.6, -41.3, -43.8, -45.8, -49.3, 
##     -52.4, -55.3, -56.7, -61.3, -62.1, -64.5, -65.8, -66.3, -68.2, 
##     -68.9, -69.4, -69.9, -71.1, -71.4, -71.8, -71.9, -72, -72, 
##     -71.9, -71.7, -71, -70, -69.2, -68.4, -66.3, -61, -57, -51.2, 
##     -37.1, -31.5, -27.7, -20.6, -8.93, -4.43, 13.1, 16.1, 21.8, 
##     38.2, 39.5, 42.1, 42.4, 42.4, 42.3, 42.2, 42.2, 42.1, 42.1, 
##     42, 41.6, 41.1, 40.2, 36.1, 28.6, 25.7, 18.7, 14.2, 9.77, 
##     -1.36, -7.97, -14.5, -21, -36.6, -41.1, -51.5, -56, -59.1, 
##     -61.2, -64.2, -68.4, -69.2, -71.8, -71.9, -72, -71.8, -71.6, 
##     -71.3, -71, -70.4, -69.7, -69.3, -68.9, -67.7, -66.1, -65.1, 
##     -63.2, -60.9, -58, -52, -46.2, -42.5, -39.3, -31.3, -22, 
##     2.3, 6.08, 14.2, 18, 21.7, 28.6, 34.2, 36.7, 38.5, 40.9, 
##     41.5, 41.9, 43, 43.2, 43.5, 44, 44.2, 44, 42.5, 41.5, 40, 
##     38, 35.6, 29.1, 25, 22.2, 15.2, 10.5, 4.93, -6.82, -12.9, 
##     -19.2, -25.9, -38.6, -48.9, -56.5, -62.1, -65.5, -66.8, -69.2, 
##     -69.8, -70.3, -70.7, -71, -71.5, -72.5, -72.3, -72.8, -73.1, 
##     -73.4, -76.3, -76.1, -75.6, -75.4, -75, -74.7, -74.4, -71.9, 
##     -71.2, -70.4, -68.5, -66.2, -65.2, -64.3, -63.2, -62.1, -61.1, 
##     -54.3, -51.9, -42.1, -37.2, -27, -13.1, 0.24, 23.4, 28.9, 
##     31.3, 33.9, 36.4, 43.3, 44.8, 44.7, 44.2, 42, 41.9, 41.8, 
##     41.8, 40.3, 39.6, 36, 34.3, 28.4, 24.6, 18.3, 8.86, 2.41, 
##     -4.15, -11, -45.4, -56.8, -59.5, -61.4, -64.2, -65.4, -68, 
##     -69.5, -70.2, -70.2, -70.1, -69.9, -69.9, -70, -70.2, -70.9, 
##     -72, -72.4, -72.9, -73, -73, -73.2, -73.3, -73.4, -73.5, 
##     -73.5, -73.3, -72.9, 33.9, 33.8, 34.1, 34.3, 34.2, 33.7, 
##     31.4, 29.3, 27, 20.7, 17.3, 13.7, 7.68, -2.4, -18.4, -47.1, 
##     -50.6, -60.8, -65.6, -66.4, -67.2, -69.2, -71.3, -72.2, -73, 
##     -74.4, -74.4, -73.9, -73.2, -72.4, -71.6, -71.1, -71.2, -71.5, 
##     -71.8, -71.9, -71.6, -70.1, -69.8, -69.5, -69.2, -69, -68.7, 
##     -68.1, -66.6, -62.5, -60.6, -46.8, -26.1, -21, -10.3, -3.92, 
##     19.4, 31.4, 35.5, 38.6, 42.6, 44.3, 46.8, 49.2, 49.3, 48.7, 
##     47.7, 46.1, 40.6, 37.2, 14.3, 2.75, -25.5, -39.4, -45.3, 
##     -54.4, -58.2, -64.8, -66.9, -68.7, -71.8, -77, -79, -80, 
##     -78.8, -77.3, -75.4, -75.1, -75.1, -75, -74.9, -74.8, -74.5, 
##     -74.4, -74.3, -72.3, -71.7, -70.5, -67.4, -63.6, -61.4, -55.8, 
##     -46.8, -23.5, -19.6, -14.9, 2.24, 7.83, 12.7, 23, 26.9, 30.5, 
##     39.8, 42.1, 43.2, 44.4, 46.4, 47.1, 47.6, 48.1, 48.2, 47.2, 
##     43.4, 41.6, 31, 28.6, 25.8, 18.1, 6.19, -0.52, -8.28, -35, 
##     -45.4, -60.3, -61.6, -62.5, -63, -64.6, -65.2, -69.5, -70.8, 
##     -71.4, -72.4, -72.3, -72.2, -72.1, -72.8, -73.2, -73.4, -73.6, 
##     -73.8, -73.9, -74.1, -74.2, -74.2, -74.3, -74.1, -73.8, -73.3, 
##     -72.5, -71.7, -70.5, -67.5, -59.8, -57.1, -54.1, -35.3, -22.9, 
##     -16.6, -4.15, 4.38, 22.3, 26.4, 33.5, 41.8, 42.7, 42.7, 42.8, 
##     43.3, 44.3, 44.4, 43.9, 43.4, 42.6, 41.6, 39.9, 37.8, 26.5, 
##     16.4, 10.1, 3.63, -29.4, -34.9, -43.9, -47.6, -60.4, -63.1, 
##     -66.9, -68.2, -71.2, -73.2, -74.4, -79.7, -78.7, -75.9, -73.6, 
##     -72.2, -72.3, -73.6, -73.7, -74.4, -74.9, -75.1, -75.3, -75.2, 
##     -74.8, -73.5, -69.9, -68.4, -66.6, -64.1, -61.6, -52.5, -31.8, 
##     -24.6, -17, -10.6, 7.68, 24, 26.6, 28.8, 30.7, 32.7, 42.7, 
##     45.1, 48.9, 50.2, 51.6, -177, -177, -177, -178, -178, -178, 
##     -178, -179, -179, -179, -179, 179, 178, 176, 176, 176, 176, 
##     176, 178, 178, 178, 179, 179, 179, 179, 179, 179, 180, -180, 
##     -179, -179, -179, -179, -179, -178, -178, -178, -178, -178, 
##     -178, -178, -178, -178, -178, -177, -177, -177, -176, -173, 
##     -172, -171, -170, -170, -170, -171, -173, -175, -176, -177, 
##     -177, -176, -174, -175, -175, -176, -177, -178, -179, -179, 
##     -179, -179, -179, -179, -179, 179, 179, 179, -179, -179, 
##     -179, -178, -178, -178, -179, -179, -180, 179, 179, -179, 
##     -179, -179, -179, -180, 180, 180, 180, 179, 179, 179, 179, 
##     179, 179, 180, -178, -177, -176, -176, -177, -177, -178, 
##     -178, -178, 179, 179, 179, 179, 179, 179, 179, 179, 179, 
##     179, 179, 180, -180, -178, -178, -178, -178, -179, -179, 
##     180, 179, 179, 178, 178, 178, 178, 179, 179, 179, 179, 179, 
##     179, 179, 179, 179, -180, 180, 179, 178, 178, 178, 178, 178, 
##     178, 178, 178, 179, 179, 180, -180, -179, -179, -180, 179, 
##     179, 178, 177, 177, 176, 176, 176, 175, 175, 177, 178, 178, 
##     179, 179, 180, 179, 180, 180, -180, -180, -180, 180, 180, 
##     180, -180, -179, -179, -178, -177, -178, -178, -179, -179, 
##     -180, -180, -180, -180, -180, -178, -177, -177, -177, -178, 
##     -179, -180, 178, 176, 175, 176, 178, 179, 180, -180, -180, 
##     -179, -179, -179, -179, -180, -180, -180, 180, 178, 178, 
##     178, 178, 178, 177, 177, 176, 176, 176, 176, 176, 175, 175, 
##     175, 174, 174, 173, 173, 172, 171, 170, 170, 172, 173, 174, 
##     174, 175, 176, 175, 175, 176, 176, 177, 178, 178, 178, 177, 
##     177, 177, 177, 177, 177, 176, 178, 178, 177, 175, 175, 175, 
##     175, 175, 175, 175, 174, 174, 174, 174, 174, 174, 173, 173, 
##     171, 170, 170, 169, 169, 170, 170, 171, 171, 174, 174, 174, 
##     174, 174, 174, 175, 175, 176, 176, 176, 177, 177, 177, 177, 
##     177, 178, 178, 177, 177, 177, 177, 177, 177, 177, 176, 176, 
##     176, 176, 175, 175, 175, 175, 175, 173, 171, 169, 168, 167, 
##     167, 168, 170, 172, 173, 174, 175, 177, 178, 178, 179, 180, 
##     180, -179, -178, -178, -177, -177, -176, -176, -176, -176, 
##     -175, -175, -175, -174, -174, -171, -168, -167, -166, -151, 
##     -148, -143, -139, -134, -124, -114, -110, -101, -96.4, -88.2, 
##     -81.2, -78.5, -76.2, -72.9, -72.9, -73.2, -74.7, -75.6, -76.5, 
##     -78.1, -79, -78.5, -77.8, -77.4, -76.8, -76.8, -77, -77.5, 
##     -77.7, -77.5, -76.9, -76.7, -76.5, -76.6, -76.6, -76.7, -76.9, 
##     -77.1, -77.1, -77.1, -77.2, -77.2, -77.4, -77.7, -77.8, -78.3, 
##     -78.7, -81.6, -86.4, -88.4, -90.5, -92.8, -94.9, -97.3, -101, 
##     -104, -106, -108, -109, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
##     148, 145, 144, 142, 141, 140, 138, 133, 133, 133, 133, 133, 
##     133, 132, 133, 135, 137, 138, 141, 144, 171, 178, -169, -167, 
##     -159, -160, -161, -162, -171, -174, -179, 175, 169, 143, 
##     136, 136, 137, 138, 139, 139, 139, 139, 140, 140, 141, 141, 
##     141, 142, 146, 148, 154, 158, 158, 162, 166, 170, 173, 177, 
##     179, -178, -177, -177, -176, -176, -175, -175, -175, -175, 
##     -176, -178, 180, 175, 168, 155, 153, 149, 148, 148, 148, 
##     148, 147, 146, 148, 148, 149, 148, 148, 148, 148, 149, 150, 
##     151, 152, 155, 157, 164, 167, 168, 169, 174, 174, 175, 177, 
##     179, -179, 179, 175, 170, 168, 161, 152, 148, 147, 146, 147, 
##     148, 152, 152, 150, 151, 152, 153, 155, 155, 155, 155, 156, 
##     156, 155, 154, 153, 154, 155, 157, 158, 168, 171, 173, 176, 
##     173, 173, 170, 168, 166, 163, 159, 157, 149, 147, 146, 146, 
##     147, 153, 155, 156, 156, 156, 156, 154, 153, 152, 151, 150, 
##     151, 158, 159, 159, 164, 166, 168, 168, 171, 174, 175, 160, 
##     158, 145, 145, 145, 145, 146, 148, 151, 153, 154, 154, 154, 
##     154, 154, 155, 156, 156, 156, 156, 155, 154, 153, 152, 152, 
##     151, 151, 151, 151, 150, 149, 149, 150, 151, 152, 155, 158, 
##     158, 158, 161, 163, 164, 166, 167, 167, 165, 163, 154, 152, 
##     149, 144, 141, 139, 136, 137, 141, 142, 149, 150, 152, 153, 
##     153, 154, 154, 155, 155, 154, 152, 151, 149, 149, 148, 148, 
##     148, 149, 152, 155, 158, 165, 167, 168, 163, 156, 155, 154, 
##     150, 143, 141, 137, 138, 139, 141, 147, 153, 155, 156, 156, 
##     157, 157, 157, 157, 141, 152, 153, 153, 153, 153, 153, 154, 
##     155, 154, 153, 151, 151, 149, 149, 149, 151, 151, 154, 166, 
##     169, 169, 167, 165, 156, 152, 148, 148, 142, 149, 151, 153, 
##     154, 154, 155, 156, 157, 157, 145, 148, 150, 151, 156, 158, 
##     159, 161, 162, 162, 161, 160, 160, 159, 158, 154, 154, 154, 
##     154, 154, 154, 154, 154, 154, 154, 154, 154, 153, 153, 153, 
##     154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 
##     153, 153, 153, 152, 152, 152, 152, 152, 152, 152, 152, 152, 
##     152, 152, 151, 151, 151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 162, 174, -177, -171, -170, -171, -173, -173, 
##     -174, -175, -177, 180, 179, 178, 177, 174, 159, 155, 151, 
##     149, 147, 141, 138, 138, 139, 139, 139, 140, 142, 142, 142, 
##     142, 141, 142, 143, 138, 138, 138, 138, 139, 140, 140, 139, 
##     139, 139, 139, 139, 141, 142, 145, 147, 152, 155, 162, 168, 
##     177, 179, 179, 179, -179, -178, -176, -173, -174, -175, -176, 
##     -179, 175, 170, 169, 167, 159, 155, 150, 149, 150, 149, 148, 
##     145, 143, 143, 142, 143, 144, 144, 145, 146, 147, 148, 149, 
##     148, 147, 147, 151, 156, 157, 159, 161, 166, 168, 174, -180, 
##     -178, -178, -178, -178, -178, -180, -180, -180, 177, 176, 
##     174, 173, 173, 170, 166, 162, 160, 159, 159, 159, 158, 153, 
##     149, 148, 147, 147, 151, 152, 152, 152, 153, 153, 153, 152, 
##     151, 150, 150, 149, 148, 148, 147, 147, 147, 148, 151, 153, 
##     153, 154, 154, 154, 152, 151, 152, 152, 154, 154, 155, 156, 
##     153, 151, 149, 148, 148, 149, 150, 152, 154, 155, 155, 155, 
##     154, 153, 153, 153, 152, 152, 153, 153, 154, 156, 157, 158, 
##     160, 162, 169, 169, 170, 171, 172, 172, 171, 168, 167, 167, 
##     165, 162, 162, 161, 162, 163, 165, 164, 161, 159, 160, 157, 
##     158, 158, 159, 159, 158, 155, 154, 154, 154, 155, 155, 155, 
##     154, 153, 152, 152, 151, 150, 150, 150, 150, 150, 151, 151, 
##     150, 148, 148, 148, 148, 149, 149, 148, 148, 148, 148, 150, 
##     150, 150, 149, 149, 149, 149, 149, 149, 148, 148, 147, 147, 
##     147, 147, 147, 147, 146, 147, 147, 147, 147, 147, 146, 146, 
##     146, 146, 146, 147, 147, 147, 148, 148, 148, 148, 149, 149, 
##     149, 150, 150, 150, 150, 150, 150, 151, 151, 151, 152, 152, 
##     152, -72.5, -71.7, -70.7, -67.9, -58.3, -46.7, -42.2, -29.3, 
##     -13.3, -7.23, 6.61, 21.5, 27.7, 29.4, 31.1, 33.1, 34.9, 40.8, 
##     38.6, 37, 35.7, 158, 158, 157, 157, 157, 156, 156, 156, 156, 
##     156, 156, 156, 156, 155, 155, 155, 155, 155, 154, 154, 154, 
##     155, 154, 154, 154, 160, 160, 161, 161, 161, 160, 160, 158, 
##     152, 150, 152, 152, 152, 152, 153, 159, 160, 164, 167, 168, 
##     167, 160, 157, 154, 148, 148, 156, 155, 152, 147, 146, 145, 
##     144, 143, 143, 143, 143, 144, 145, 149, 150, 152, 153, 153, 
##     157, 160, 165, 154, 149, 145, 140, 140, 137, 136, 134, 133, 
##     133, 133, 133, 132, 132, 132, 133, 133, 133, 134, 134, 134, 
##     135, 135, 134, 134, 134, 134, 134, 134, 133, 133, 133, 133, 
##     133, -76.8, -76.7, -76.7, -76.7, -76.7, -76.7, -76.7, -76.7, 
##     -76.8, -76.8, -76.8, -76.9, -76.9, -76.9, -77, -77, -77, 
##     -77, -77, -77.1, -77.1, -77.1, 175, 174, 172, 172, 171, 171, 
##     172, 174, 175, 174, 174, 174, 174, 175, 175, 175, 175, 175, 
##     174, 174, 174, 174, 175, 175, 179, 179, 179, -179, -179, 
##     -179, -178, -178, -178, -178, -177, -177, -177, -177, -177, 
##     -176, -176, -177, -177, -178, -179, -180, -180, -180, -179, 
##     -179, 166, 166, 165, 158, 158, 162, 161, 158, 159, 160, 162, 
##     162, 163, 163, 164, 165, 166, 166, 167, 169, 169, 170, 169, 
##     166, 166, 167, 167, 168, 168, 166, 155, 158, 162, 164, 166, 
##     168, 173, 173, 171, 171, 174, 175, 175, 173, 172, 169, 167, 
##     165, 165, 159, 157, 154, 154, 152, 151, 151, 152, 153, 157, 
##     164, 166, 173, 175, 176, 177, 177, 179, -179, -180, 170, 
##     169, 166, 159, 155, 152, 143, 144, 146, 148, 150, 154, 156, 
##     158, 167, 171, 177, -179, -178, -176, -174, -171, -170, -172, 
##     -178, -179, 179, 175, 174, 171, 168, 158, 136, 135, 134, 
##     133, 133, 134, 134, 133, 133, 135, 136, 138, 138, 138, 138, 
##     137, 137, 136, 135, 135, 136, 137, 138, 145, 142, 143, 146, 
##     146, 147, 148, 149, 150, 151, 150, 149, 149, 153, 165, 170, 
##     173, 175, -180, -179, -174, -172, -162, -159, -157, 178, 
##     179, -179, -172, -168, -161, -160, -159, -159, -158, -159, 
##     -159, -159, -159, -158, -159, -159, -162, -166, -173, -176, 
##     161, 153, 150, 147, 145, 141, -175, 148, 143, 140, 140, 141, 
##     142, 144, 145, 145, 145, 145, 145, 145, 145, 145, 147, 151, 
##     158, 171, 179, 141, 141, 141, 142, 144, 146, 148, 150, 160, 
##     172, -157, -154, -151, -146, -144, -142, -141, -142, -143, 
##     -144, -147, -148, -147, -146, -144, -144, -144, -145, -145, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0), pitch_forearm = c(-63.9, -63.9, -63.9, 
##     -63.9, -63.9, -63.9, -63.9, -63.8, -63.8, -63.8, -63.8, -63.8, 
##     -63.9, -63.9, -63.9, -64, -64, -64, -64, -64, -63.9, -63.9, 
##     -63.8, -63.7, -63.7, -63.7, -63.6, -63.7, -63.6, -63.6, -63.6, 
##     -63.7, -63.7, -63.7, -63.7, -63.8, -63.9, -63.9, -63.9, -63.9, 
##     -63.9, -63.9, -63.9, -63.9, -63.9, -63.9, -63.9, -63.8, -63.8, 
##     -63.8, -63.8, -63.8, -63.8, -63.8, -63.8, -63.8, -63.8, -63.8, 
##     -63.8, -63.8, -63.8, -63.8, -63.7, -63.7, -63.7, -63.7, -63.7, 
##     -63.7, -63.6, -63.6, -63.6, -63.7, -63.9, -63.9, -63.8, -63.8, 
##     -63.7, -63.7, -63.6, -63.6, -63.5, -63.4, -63.4, -63.3, -63.2, 
##     -63.2, -63.3, -63.3, -63.2, -63.3, -63.3, -63.3, -63.3, -63.3, 
##     -63.3, -63.3, -63.3, -63.3, -63.3, -63.4, -63.4, -63.4, -63.4, 
##     -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, 
##     -63.5, -63.4, -63.4, -63.4, -63.4, -63.4, -63.5, -63.5, -63.5, 
##     -63.6, -63.6, -63.7, -63.7, -63.7, -63.7, -63.7, -63.7, -63.7, 
##     -63.7, -63.7, -63.8, -63.8, -63.8, -63.7, -63.6, -63.6, -63.7, 
##     -63.6, -63.6, -63.5, -63.5, -63.6, -63.6, -63.6, -63.6, -63.6, 
##     -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.4, -63.4, -63.5, 
##     -63.5, -63.5, -63.5, -63.5, -63.4, -63.4, -63.4, -63.4, -1.79, 
##     -1.76, -1.6, -1.56, -1.53, -1.44, -0.93, -0.82, -0.73, -0.56, 
##     -0.57, -0.53, -0.53, -0.67, -0.68, -0.62, -0.9, -0.77, -0.69, 
##     -0.64, -0.58, -0.56, -0.69, -0.72, -0.79, -0.83, -0.84, -0.86, 
##     -0.88, -0.87, -0.84, -0.8, -0.79, -0.7, -0.62, -0.39, -0.26, 
##     -0.21, -0.23, -0.27, -0.32, -0.32, -0.31, -0.33, -0.36, -0.36, 
##     -0.32, -0.26, -0.25, -0.33, -0.4, -0.62, -0.81, -0.92, -1.03, 
##     -0.99, -0.77, -0.7, -0.56, -0.47, -0.56, -0.68, -0.76, -0.83, 
##     -1.36, -1.69, -1.84, -2.26, -2.34, -2.43, -2.57, -2.68, -2.72, 
##     -2.59, -2.61, -2.61, -2.48, -2.32, -2.17, -2, -1.87, -1.07, 
##     -0.8, -0.72, -0.58, -0.31, -0.3, -0.19, 0.3, 0.27, 0.13, 
##     0.67, 1.36, 1.91, 3.35, 3.44, 3.45, 3.21, 2.71, 2.44, 2.13, 
##     1.56, 1.15, 0.78, -0.28, -0.49, -0.91, -1.2, -1.86, -2.51, 
##     -2.83, -3.07, -3.15, -3.15, -3.12, -3.01, -2.54, -2.29, -1.52, 
##     -0.7, -0.05, 0.29, 0.59, 1.07, 1.34, 1.61, 1.84, 2.11, 2.23, 
##     3.9, 4.11, 4.22, 5.19, 5.15, 5.05, 4.82, 4.6, 4.2, 4, 3.49, 
##     3.58, 3.68, 3.69, 3.7, 3.58, 3.46, 3.31, 3.16, 3.01, 3.05, 
##     3.1, 3.04, 3, 3.17, 3.21, 3.19, 3.23, 3.37, 3.26, 3, 2.75, 
##     2.84, 2.88, 2.86, 2.98, 3.2, 3.34, 3.38, 3.42, 3.49, 3.57, 
##     3.61, 3.63, 3.6, 3.58, 3.6, 3.58, 3.89, 4.24, 4.56, 4.95, 
##     5.18, 5.54, 5.74, 6.09, 6.15, 6.11, 5.91, 5.93, 5.93, 5.81, 
##     5.77, 5.73, 5.67, 5.61, 5.47, 5.12, 5.08, 4.88, 4.78, 4.74, 
##     4.67, 4.58, 4.49, 4.4, 4.38, 4.33, 4.24, 4.24, 4.14, 4.16, 
##     4.18, 4.27, 4.41, 85.2, 86.7, 84.2, 80.7, 74.3, 66.6, 61.3, 
##     58.7, 53.4, 51.1, 49.3, 47.5, 48, 50.6, 52.4, 56.3, 58.4, 
##     65.5, 68, 81.5, 85.8, 83.4, 80.6, 77.4, 74.9, 71.8, 68.2, 
##     65.4, 55.4, 33.1, 31.2, 28.9, 20, 15.5, 11.7, 9.52, 8.64, 
##     8.18, 7.69, 7.34, 7.3, 7.53, 7.93, 8.44, 9.21, 10.1, 16.1, 
##     17.8, 19.8, 21.7, 23.9, 26.2, 31.3, 34, 36.9, 42.3, 45.4, 
##     51.3, 53.9, 56.8, 59.6, 62.4, 65.2, 79.6, 79.8, 78.7, 76.6, 
##     67.9, 64.8, 61.9, 55.5, 52.1, 46.6, 44.8, 43.6, 44.5, 47.7, 
##     52.1, 54.4, 56.7, 59, 61.4, 63.8, 68.3, 70.7, 78.6, 81.4, 
##     73.7, 50.8, 48, 44.7, 41.4, 34.2, 30.2, 28.2, 22.3, 16.5, 
##     14.6, 11.3, 8.69, 7.42, 4.95, 2.72, 2.7, 3.55, 4.18, 4.9, 
##     5.7, 8.46, 11.8, 13.8, 20.7, 23.2, 26.1, 28.6, 34.7, 37.7, 
##     47.4, 50.6, 57, 63.6, 66.6, 72.4, 77.1, 78.9, 79.8, 79.7, 
##     47.2, 44.8, 40.2, 37.9, 35.3, 32.7, 30.2, 28.2, 22, 18.9, 
##     17.4, 13.9, 12.8, 8.36, 8.81, 9.34, 10, 14, 17.2, 19.3, 21.4, 
##     23.7, 25.9, 28.3, 38.5, 43.8, 46.7, 52.9, 56, 68.2, 71.1, 
##     73.7, 77.5, 69.4, 52.5, 49.3, 46.3, 43.6, 38.5, 40.7, 42.1, 
##     43.9, 45.7, 48.1, 50.3, 52.8, 60.8, 63.5, 66.3, 69.2, 72.2, 
##     74.5, 80.2, 76.9, 74.6, 59.7, 57, 52.9, 46.4, 38.2, 36.3, 
##     34.4, 32.1, 30, 28, 26, 16, 14.5, 13.8, 13.1, 12.5, 12.1, 
##     12, 12.2, 13, 14.4, 33.9, 36.8, 45, 50.5, 53.5, 59.4, 67, 
##     71.4, 71.3, 70.3, 53.4, 50.6, 47.7, 42.2, 42, 44.2, 10.9, 
##     11, 11.3, 12.4, 17.5, 19.4, 27.8, 30.4, 33, 35.4, 38.1, 46.3, 
##     51.8, 54.6, 62.6, 64.6, 67.4, 67.8, 67.4, 66.7, 65.6, 62.8, 
##     60.9, 58.5, 51.3, 49.1, 45, 43.4, 42.8, 12.9, 12.5, 12.4, 
##     12.8, 13.5, 17.5, 22, 23.8, 25.7, 27.8, 39.6, 42, 48.6, 55.5, 
##     60.2, 64.2, 62.7, 59.6, 57.8, 48.5, 46.4, 50.6, 65.5, 66.8, 
##     67.3, 67.3, 66.8, 63.7, 62, 53.2, 61.7, 58.8, 57.4, 55.9, 
##     54, 49.9, 44.9, 44.8, 45.4, 46.4, 52.8, 57, 61, 63.1, 65, 
##     67.1, 67.2, 64.9, 63.3, 62.1, 58.5, 46.1, 41.3, 35.5, 29.2, 
##     27.7, 26, 23, 21.7, 20.4, 18.5, 17.2, 15.7, 15.1, 14.6, 13.6, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20.4, 
##     20.3, 19.9, 19.4, 18.9, 17.7, 8.95, 6.59, 6.22, 5.72, 5.18, 
##     3.81, 2.11, 1.61, 1.34, 1.46, 1.75, 2.32, 4.32, 6.23, 6.74, 
##     8.39, 9.11, 12.7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69.3, 
##     -69.2, -69.1, -68.9, -68.7, -68.7, -68.4, -68.1, -68.1, -67.9, 
##     -67.7, -67.6, -67.5, -67.4, -67.2, -67.2, -67.1, -67, -66.9, 
##     -66.7, -66.6, -66.6, -66.5, -66.5, -66.4, -66.3, -66.2, -66.1, 
##     -66, -65.7, -65.7, -65.5, -65.5, -65.4, -65.3, -65.1, -65, 
##     -65, -64.8, -64.5, -64.3, -64.2, -64.1, -64, -63.9, -63.8, 
##     -63.8, -63.7, -63, -62.9, -62.9, -62.8, -62.2, -62.1, -62, 
##     -61.9, -61.9, -61.7, -61.4, -61, -57, -56.9, -56.8, -56.7, 
##     -56.6, -56.4, -56.3, -56.2, -55.7, -55.4, -55.4, -55.1, -55, 
##     -54.9, -54.7, -54.5, -54.4, -54.3, -53.5, -53.1, -52.5, -52.2, 
##     -51.9, -51.5, -51.4, -51.2, -51.2, -51.2, -51.3, -51.3, -50.9, 
##     -50.2, -50, -49.4, -49, -48.9, -48.6, -48.6, -48.5, -48.2, 
##     -47.7, -47.3, -47.2, -47.1, -46.9, -46.8, -46.7, -47.2, -47.7, 
##     -48.9, -50.2, -54.2, -55, -52.5, -29.9, -26.2, -22.3, -14.8, 
##     -10.9, 3.32, 6.47, 17.9, 20.6, 22.9, 26.2, 27.2, 27.7, 27, 
##     25.7, 24.3, 22.7, 18.8, 14.5, 12.2, 10.3, 7.97, 3.79, 1.56, 
##     -0.53, -2.61, -4.82, -9.51, -19.5, -21.8, -26.5, -30.7, -40.2, 
##     -43.1, -44.7, -45.2, -45.6, -45.2, -44.5, -42.5, -42.2, -41.9, 
##     -41.5, -40.9, -39.2, -38, -37.1, -35.7, -35.6, -35.6, -35.7, 
##     -35.5, -35.2, -33.7, -33.1, -32.6, -32.1, -31.9, -31.9, -32, 
##     -34, -34.7, -35.6, -40.4, -42.9, -46.2, -47.7, -45.8, -42.7, 
##     -40.6, -38.4, -30.3, -27.1, -24, -20.9, -17.4, -10.4, -7.29, 
##     -4.02, 2.16, 5.25, 7.91, 10.9, 13.3, 16.1, 21.8, 27.2, 31.5, 
##     33.5, 32.3, 8.2, -19.1, -19.2, -18.8, -18.3, -18.1, -17.9, 
##     -17.7, -17.8, -18.1, -18.4, -19.5, -22, -23.2, -24.6, -26.1, 
##     -30.4, -31.6, -32.7, -34.7, -35.9, -36.4, -36.7, -36.4, -35.8, 
##     -34.8, -33.7, -26.3, -22.1, -19.6, -14.8, -9.83, -4.44, -1.96, 
##     2.92, 9.4, 11.2, 14.7, 14.1, 13.4, 12.6, 12, 10, 9.51, 5.88, 
##     3.6, 0.39, -1.37, -7.67, -9.75, -13.7, -15.8, -17.5, -20.4, 
##     -21.3, -23, -23.4, -23.4, -2.94, -2.73, -2.65, -2.65, -2.75, 
##     -3.65, -5.38, -9.14, -12.4, -14, -15.6, -19.2, -23.6, -24.6, 
##     -26.9, -27.8, -26.2, -23.5, -19.6, -17.6, -3.9, 3.33, 6.96, 
##     9.69, 10.2, 10.6, 10.1, 8.49, 7.38, 6.2, 3.41, 1.9, -3.93, 
##     -9.6, -10.8, -16.7, -15.9, -14.7, -13.3, -12.1, -7.57, -6.37, 
##     -5.49, -3.68, -1.39, -0.51, 0.48, -10.3, -10.4, -11, -10.6, 
##     -9.98, -8.27, -7.54, -7, -6.48, -3.92, -2.39, -1.62, -0.34, 
##     0.22, 0.89, 1.48, 2.44, 2.78, 2.6, 2.31, 2.04, 3.73, 4.26, 
##     4.81, 5.24, 6.12, 6.07, 5.24, 4.82, 4.26, 2.26, 1.4, -2.81, 
##     -4.09, -10.5, -12.3, -15.4, -18, -18.8, -19.2, -19.4, -19.2, 
##     -18.8, -18.2, -16.4, -12.6, -7.38, -4.07, -2.74, 1.12, 1.79, 
##     2.32, 2.66, 2.86, 3.05, 3.18, 2.79, 2.26, 1.6, 0.86, 0.1, 
##     -1.69, -4.07, -6.87, -7.75, -7.07, -5.93, -4.62, -1.75, 1.12, 
##     2.79, 4.43, 5.23, 5.59, 6.36, 6.68, 7.13, 7.73, 9.1, 9.74, 
##     11.2, 11.4, 11.7, 12.4, 14, 14.4, 14.3, 14.2, 14.2, 14.4, 
##     14.6, 14.7, 14.9, 14.9, 14.5, 13.3, 12.5, 11.5, 10.4, 7.82, 
##     6.63, 4.33, 1.1, -1.33, -2.62, -4.22, -8.84, -13, -13.4, 
##     -13.7, -13.8, -13.5, -11.3, -8.36, -6.52, -5.65, -2.09, 0.29, 
##     2.39, 3.12, 3.45, 3.33, 1.91, -0.18, -3.02, -3.55, -4.1, 
##     -4.63, -5.72, -6.21, -6.54, -6.76, -6.96, -7.14, -7.14, 12.3, 
##     12.7, 13.5, 13.2, 12.7, 11.9, 6.82, 3.43, 1.8, 1.08, -0.94, 
##     -1.85, -3.72, -4.79, -5.78, -6.65, -7.33, -8.67, -8.6, -8.27, 
##     -7.11, -6.34, -5.58, -4, -3.14, -1.15, -0.05, 2.27, 4.52, 
##     5.96, 4.26, 1.3, 0.16, -0.11, -0.17, -0.21, -0.25, -0.26, 
##     -0.27, 1.41, 8.77, 10.2, 10.7, 11.2, 13.1, 17.3, 17.5, 17, 
##     16.4, 16.3, 16.1, 16.2, 16.2, 16.6, 16.6, 16.2, 15.9, 15.6, 
##     15.3, 15.1, 14.9, 14.9, 15, 14.9, 14.5, 13.9, 10.7, 9.52, 
##     8.29, 5.51, 3.83, 2.79, 2.15, 1.84, 1.86, 2.08, 3.07, 3.68, 
##     4.35, 5.97, 6.92, 8.95, 10, 11.2, 12.5, 14.6, 16.1, 14.8, 
##     13.2, 11.7, 12.2, 13.1, 13.5, 13.1, 13, 13, 13.2, 15.2, 16, 
##     16.9, 18.5, 20.9, 21.8, 22.3, 22.8, 24.8, 25.3, 25.9, 26.7, 
##     26.9, 26.7, 26.4, 26.4, 26.7, 27, 28.2, 28.3, 28.7, 28.7, 
##     25.1, 24.7, 22, 21.3, 20.5, 13.3, 12.6, 12, 10.9, 10.6, 10.5, 
##     10.7, 10.8, 10.8, 10.4, 9.69, 9.18, 9.41, 9.86, 10.4, 10.9, 
##     11.2, 11.6, 12, 12.6, 13.2, 14.8, 15.5, 16.3, 17.6, 19.1, 
##     19.4, 19.4, 19.2, 19, 18.7, 18.8, -65.3, -65.4, -64.2, -64.2, 
##     -65.2, -64.8, -64, -64.5, -65.7, -65.7, -65.6, -65.4, -64.5, 
##     -65.1, -65.1, -65, -64.9, -64.7, -64.8, -65.3, -65.3, -65.1, 
##     -64.7, -64.5, -64.3, -64.2, -64.1, -63.5, -63.2, -62.9, -63, 
##     -63, -62.9, -62.8, -62.9, -63, -63, -63.2, -63.2, -63.1, 
##     -62.9, -62.9, -62.8, -62.8, -62.8, -62.7, -62.7, -62.7, -62.7, 
##     -62.6, -62.5, -62.5, -62.5, -62.5, -62.6, -62.7, -62.7, -62.7, 
##     -62.6, -62.6, -62.6, -62.5, -62.5, -62.5, -62.5, -62.4, -62.3, 
##     -62.3, -62.2, -62.2, -62.2, -62.2, -62.1, -62, -62, -61.9, 
##     -61.9, -61.9, -61.9, -62, -62, -61.9, -61.8, -61.8, -61.7, 
##     -61.6, -61.6, -61.5, -61.6, -61.6, -61.6, -61.7, -61.7, -61.7, 
##     -61.6, -61.6, -61.5, -61.5, -61.3, -61.3, -61.2, -61.1, -61.1, 
##     -61.1, -61.1, -61.1, -61.3, -61.4, -61.5, -61.6, -61.7, -61.7, 
##     -61.4, -61.3, -61.2, -61.2, -61.1, -61.1, -61, -60.9, -60.9, 
##     -60.9, -60.9, -60.9, -60.9, -60.9, -60.8, -60.8, -60.8, -60.8, 
##     -60.8, -60.8, -60.8, -60.7, -60.7, -60.7, -60.6, -60.6, -60.6, 
##     -60.6, -60.6, -60.5, -60.5, -60.5, -60.5, -60.5, -60.5, -60.7, 
##     -60.7, -60.7, -60.7, -60.6, -60.5, -60.4, -60.3, -60.2, -60.1, 
##     -60, -59.9, -59.8, -59.6, -59.5, -59.4, -59.5, -59.4, -59.5, 
##     -59.5, -59.6, -59.6, -59.6, -59.6, -59.6, -59.6, -59.5, -59.4, 
##     -59.4, -59.2, -59.2, -59.2, -59.2, -59.3, -59.2, -59.2, -59, 
##     -58.8, -58.8, -58.7, -58.7, -58.7, -58.6, -58.5, -58.5, -58.4, 
##     -58.3, -58.3, -58.4, -58.3, -58.3, -58.2, -58, -58, -57.9, 
##     -57.9, -58, -58.1, -57.9, -57.9, -57.7, -57.4, -57.4, -57.5, 
##     -57.6, -57.6, -57.6, -57.6, -57.6, -57.5, -57.5, -57.5, -57.4, 
##     -57, -56.7, -56.5, -56.4, -56.6, -56.7, -56.8, -56.9, -56.8, 
##     -56.6, -56.6, -56.5, -56.5, -56.5, -56.5, -56.5, -56.5, -56.5, 
##     -56.5, -56.5, -56.4, -56.2, -56.1, -55.9, -56, -56.1, -56.1, 
##     -56, -55.9, -55.7, -55.6, -55.5, -55.5, -55.4, -55.4, -55.3, 
##     -55.2, -55.1, -54.7, -53.9, -53.3, -53.4, -53.8, -53.7, -53.5, 
##     -53.9, -53.8, -53.5, -53.5, -53.5, -53.4, -53.3, -52.7, -52.6, 
##     -52.4, -52.3, -52.2, -52.2, -52, -52, -51.9, -51.8, -51.8, 
##     -51.8, -52.1, -52.2, -52.2, -52.1, -52, -51.4, -51.2, -51.4, 
##     -51.4, -51.5, -51.5, -51.5, -51.4, -51.3, -51.3, -51.4, -51.2, 
##     -51, -50.7, -50.4, -50.3, -50.3, -50.2, -50.3, -50.6, -50.7, 
##     -50.8, -50.8, -51.1, -51.2, -51.3, -51.3, -51.2, -51.1, -51, 
##     -50.9, -50.8, -50.6, -50.5, -50.4, -50.4, -50.4, -50.4, -50.4, 
##     -50.5, -50.4, -50.1, -48.9, -48.5, -48.5, -48.5, -48.7, -48.8, 
##     -48.9, -49.2, -49.3, -49.3, -49.1, -48.9, -48.6, -48.6, -48.6, 
##     -48.7, -48.8, -48.9, -48.9, -48.8, -48.8, -48.7, -48.5, -63.4, 
##     -63.4, -63.4, -63.4, -63.4, -63.4, -63.5, -63.5, -63.5, -63.5, 
##     -63.5, -63.5, -63.5, -63.5, -63.5, -63.4, -63.5, -63.5, -63.5, 
##     -63.6, -63.6, -63.6, -63.7, -63.7, -63.7, -63.8, -63.8, -63.7, 
##     -63.6, -63.6, -63.6, -63.7, -63.6, -63.6, -63.6, -63.6, -63.6, 
##     -63.6, -63.6, -63.6, -63.6, -63.6, -63.6, -63.6, -63.5, -63.5, 
##     -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, -63.5, 
##     -63.5, -63.5, -63.4, -63.4, -63.4, -63.4, -63.4, -63.3, -63.3, 
##     -63.3, -63.3, -63.3, -63.3, -63.5, -63.5, -63.6, -63.6, -63.6, 
##     -63.7, -63.7, -63.7, -63.7, -63.7, -63.8, -63.8, -63.9, -63.9, 
##     -63.9, -63.9, -64, -64, -64, -63.9, -63.9, -63.9, -64, -64, 
##     -64, -64, -64, -64, -64.1, -64.1, -64.1, -64.1, -64.2, -64.2, 
##     -64.3, -64.3, -64.3, -64.3, -64.2, -64, -64, -64, -64, -63.9, 
##     -64, -64.1, -64.1, -64.1, -64, -63.9, -63.9, -63.9, -63.9, 
##     -63.9, -63.9, -63.9, -63.9, -63.7, -63.6, -63.6, -63.6, -63.6, 
##     -63.6, -63.7, -63.7, -63.8, -63.8, -63.8, -63.8, -63.7, -63.7, 
##     -63.7, -63.6, -63.6, -63.6, -63.6, -63.6, -63.7, -63.7, -63.7, 
##     -63.7, -63.7, -63.8, -63.7, -63.7, -63.7, -63.8, -63.8, -63.8, 
##     -63.8, -63.8, -63.8, -63.7, -63.7, -63.7, -63.7, -63.7, -63.5, 
##     -63.4, -63.4, -63.5, -63.5, -63.4, -63.4, -63.4, -63.3, -63.3, 
##     -63.3, -63.3, -63.3, -63.3, -63.3, -63.2, -63.2, -63.1, -63.1, 
##     -63.1, -63.1, -63.1, -63.1, -63.1, -63.2, -63.2, -63.1, -63.1, 
##     -63.1, -63.1, -63, -63, -63, -63, -63, -62.9, -62.8, -62.8, 
##     -62.9, -62.9, -62.8, -62.7, -62.4, -61.9, -61.5, -61.2, -60.7, 
##     -59.1, -58.4, -54.4, -53.2, -51.9, -49.3, -47.8, -46.4, -45.1, 
##     -39.1, -34, -32, -30.1, -28.3, -24.3, -22.2, -19.9, -17.5, 
##     -10.7, 4.22, 6.74, 11.2, 20.4, 25, 27, 30.6, 35.3, 39.7, 
##     40.8, 43.8, 44.4, 44.2, 43.7, 43.1, 42.5, 41.2, 41.4, 41.5, 
##     42.1, 42.3, 42.5, 42.6, 42.7, 42.7, 42.7, 42.4, 41.3, 40.6, 
##     39.8, 38.2, 36.6, 35.8, 35, 33.4, 28.4, 24.2, 22.5, 19.3, 
##     17.5, 15.7, 13.6, 11.3, 6.86, 1.61, -0.6, -8.24, -15.7, -23.5, 
##     -28.2, -30.3, -32.6, -36.8, -46, -47, -50.7, -52.1, -54.1, 
##     -55.6, -57.8, -58.5, -58.9, -59.2, -59.4, -59.3, -59.1, -58.2, 
##     -57.7, -56.9, -55.8, -54.6, -53.3, -52, -50.9, -44.9, -33.3, 
##     -31, -26, -23.3, -15.1, -9.89, 2.18, 6.92, 13.7, 16.2, 18.8, 
##     21, 24.5, 37.6, 39.4, 40, 39.6, 37.2, 36.6, 35.6, 34.8, 34.3, 
##     33.6, 32.9, 31, 28.9, 26.3, 24.5, 21.6, 16.8, 13, 6.69, 4.29, 
##     -0.43, -5.54, -8.16, -13.3, -18.3, -20.7, -23.2, -27, -28.9, 
##     -30.7, -34.2, -36.5, -44.1, -46.2, -50, -51.5, -54.9, -55.7, 
##     -52.1, -51, -49.7, -44.9, -40.5, -35.3, -22.5, -18.7, -8.03, 
##     -1.87, 3.79, 11.7, 20.3, 27.6, 31.1, 32.3, 33.3, 35, 42.5, 
##     42.7, 42.6, 40, 40.7, 40.8, 38.1, 36.7, 34.7, 34.3, 34, 32.6, 
##     31.7, 29.5, 26.9, 22.2, 16.9, 13.8, -7.84, -11.1, -17, -19.3, 
##     -24.9, -27.8, -33.7, -43.1, -46.2, -51.7, -53.9, -56.7, -57.3, 
##     -57.5, -56.2, -53.9, -49.2, -45.4, -43.1, -32.9, -30.1, -16.4, 
##     -8.26, -4.48, 3.42, 7.34, 13.7, 16.8, 19.9, 22.7, 28.4, 31.7, 
##     36.9, 43, 45.8, 47.8, 48.9, 50.1, 50.8, 50.1, 47.8, 44.4, 
##     44.3, 45, 47.2, 47.4, 46.9, 45.1, 40.7, 39.2, 32.5, 27.6, 
##     16.7, 3.29, -11, -13.5, 46.9, 48.4, 49.8, 53.6, 50, 47.4, 
##     47.5, 48.8, 51.5, 52.8, 53.7, 53.1, 50.5, 45.6, 42.8, 33.8, 
##     26.6, 23, 15.2, 11.9, 5.6, -0.12, -5.99, -8.69, -11.6, -18.2, 
##     -21.5, -28.1, -34.2, -36.9, -50, -51.6, -54, -54.6, -55.1, 
##     -55.4, -55, -54.3, -53.1, -49.5, -44.7, -42.1, -38.9, -35.6, 
##     -32.2, -28.4, -16, -7.68, -3.85, 0.05, 33.2, 36.6, 43.5, 
##     46.6, 51, 52.5, 53.7, 55.8, 57.5, 58.3, 60.5, 59.6, 56.6, 
##     53.7, 53.1, 53, 53.5, 57, 58.5, 59.7, 60.6, 59.3, 57.2, 57.2, 
##     56.5, 54.9, 52.9, 50.7, 47.3, 43.7, 39.8, 29.3, 25.6, 22.5, 
##     6.91, 1.42, -1.45, -6.36, -8.69, -11.1, -13.6, -16.1, -18.8, 
##     -21.5, -32.2, -34.2, -36, -37.8, -39.2, -40.5, -42.5, -44.8, 
##     -43.3, -40.5, -38.5, -30.1, -22.8, -9.98, -1.44, 2.27, 6.56, 
##     10.8, 14.8, 19.2, 31.8, 35.2, 39.3, 51.4, 58.6, 68, 69.5, 
##     71.2, 63.6, 61.4, 58, 57.2, 57.1, 57.6, 58.6, 61.8, 67.9, 
##     71.8, 72.3, 71.1, 64.8, 48.4, 37, 33.6, 29.8, 23.1, 19.9, 
##     17, 14.3, 8.61, 5.79, 2.92, -2.33, -7.48, -9.99, -15.1, -17.4, 
##     -22.3, -24.5, -26.7, -28.6, -30.5, -37.7, -38.5, -38.6, -37.9, 
##     -36.9, -33.7, -31.7, -29.2, -23, -11.7, -3.09, 6.08, 11.1, 
##     21.3, 35, 53, 56.2, 59.5, 75.8, 78.7, 81, 83.5, 82.8, 78.6, 
##     71.5, 71.1, 73.3, 76.7, 78.8, 81.2, 80.9, 75.1, 72.4, -48.5, 
##     -48.5, -48.5, -48.4, -48.4, -48.4, -48.3, -48.3, -48.3, -48.4, 
##     -48.1, -48.2, -48.3, -48.4, -48.4, -48.3, -48.1, -48, -47.9, 
##     -47.8, -47.7, -47.8, -48, -48.2, -47.8, -48, -48.2, -47.8, 
##     -47.8, -48, -48.1, -48.1, -48, -47.9, -47.5, -47.3, -47.3, 
##     -47.5, -47.6, -47.7, -47.6, -47.5, -47.4, -47.1, -47.3, -47.7, 
##     -47.6, -47.3, -47.7, -47.8, -47.7, -47.5, -47.2, -46.6, -46.8, 
##     -47, -47.1, -47.1, -47, -46.9, -47.2, -47.1, -46.8, -46.6, 
##     -46.4, -46.3, -46.3, -46.3, -46.2, -46.2, -46.2, -46.2, -46.2, 
##     -46.2, -46.2, -46.2, -46.1, -46, -46, -45.9, -45.9, -45.9, 
##     -45.8, -45.7, -45.7, -45.7, -45.6, -45.6, -45.5, -45.5, -45.5, 
##     -45.4, -45.4, -45.4, -45.3, -45.3, -45.3, -45.3, -45.3, -45.3, 
##     -45.3, -45.3, -45.2, -45, -45, -45, -44.7, -44.7, -44.7, 
##     -44.7, -44.6, -44.6, -44.5, -44.5, -44.4, -44.4, -44.4, -44.3, 
##     -44, -43.9, -44.1, -44.1, -44, -44, -44.1, -44.2, -44.3, 
##     -44.1, -44.1, -44, -44, -43.6, -43.7, -43.7, -43.7, -43.6, 
##     -43.6, -43.5, -43.5, -43.5, -43.5, -43.5, -43.4, -43.4, -43.4, 
##     -43.4, -43.3, -43.2, -43.2, -43.2, -43.2, -43.2, -43.2, -43.1, 
##     -43.1, -43.1, -43, -42.9, -42.9, -43, -43, -43, -42.9, -42.9, 
##     -42.9, -42.8, -42.8, -42.8, -42.8, -42.9, -42.9, -42.9, -42.8, 
##     -42.6, -42.3, -42.2, -42.2, -42.2, -42.3, -42.3, -42.3, -41.9, 
##     -41.8, -41.7, -41.5, -41.3, -41.2, -41.2, -41.2, -41.4, -41.8, 
##     -42, -42.1, -42.1, -42.3, -42.2, -42.1, -41.6, -41.4, -41.3, 
##     -41.3, -41.3, -41.2, -41.1, -41, -41, -41.1, -41.5, -41.6, 
##     -41.7, -41.5, -41.4, -41.4, -41.5, -41.3, -40.9, -40.7, -40.5, 
##     -40.5, -40, -40.5, -40.3, -40.4, -40.5, -40.3, -40.4, -40.4, 
##     -40.5, -40.6, -40.7, -40.3, -39.9, -39.7, -39.6, -39.4, -39.4, 
##     -39.4, -39.4, -39.4, -39.4, -39.5, -39.4, -39.3, -39.3, -39.2, 
##     -39.1, -38.9, -38.9, -38.8, -38.8, -38.7, -38.6, -38.5, -38.3, 
##     -38.2, -38.2, -38.2, -38.4, -38.3, -38.1, -37.8, -37.6, -37.7, 
##     -37.7, -37.5, -37.3, -37.2, -37.1, -37.1, -37.1, -37.1, -37.1, 
##     -37.2, -37.2, -37.2, -37.3, -37.3, -37.3, -37.4, -37.5, -37.4, 
##     -37.2, -37.1, -37, -37, -37, -37, -37.1, -37.1, -37.1, -37.1, 
##     -37.1, -37, -36.9, -36.9, -36.8, -36.7, -36.5, -36.5, -36.6, 
##     -36.7, -36.7, -36.7, -36.6, -36.5, -36.2, -36.1, -36.1, -36, 
##     -35.9, -35.9, -35.9, -35.9, -35.9, -35.9, -35.8, -35.8, -35.7, 
##     -35.7, -35.6, -35.5, -35.4, -35.3, -35, -35.1, -35, -34.8, 
##     -34.8, -33, -32.2, -30.7, -29, -26.5, -23.4, -20.5, -17.1, 
##     -13.9, -5.22, 0.29, 5.39, 35, 42.6, 51.2, 53.8, 56.2, 58.5, 
##     63.5, 66.9, 69.7, 69.5, 68.7, 65.6, 63.1, 61.8, 59.8, 67.2, 
##     69.4, 70.4, 67.9, 66.1, 64.3, 62.3, 51.7, 50.3, 43.3, 35, 
##     25.7, 22.2, 18.9, 14.1, 11.2, 8.75, -9.74, -15.8, -18.6, 
##     -25.9, -27.8, -29.6, -31.2, -34.4, -34.9, -31.5, -29.9, -27.8, 
##     -25.1, -22.1, -15.3, -7.21, 6.12, 15.7, 20.1, 24.9, 50.2, 
##     57.3, 63.8, 66.8, 72.6, 74.4, 75.9, 76.2, 75.9, 64.7, 64.5, 
##     65.6, 67.2, 68.6, 71.6, 73.1, 74.4, 72.9, 70, 62.1, 53.2, 
##     27.7, 25, 15.5, 6.21, 3.35, -7.93, -15.9, -23, -33.7, -34.9, 
##     -35.8, -35.7, -35.2, -34.3, -32.6, -30.7, -28.2, -22.3, -14.6, 
##     -1.24, 8.58, 18, 27.7, 37.1, 41.2, 49.5, 60.5, 63.9, 74.5, 
##     77.2, 82.3, 68.9, 67.9, 81.3, 81.4, 80.7, 76.8, 73.3, 65.6, 
##     60.7, 30, 24.5, 20.2, 10.3, 4.7, 0.79, -9.9, -14, -17.6, 
##     -25, -28.6, -33.2, -36, -37, -38, -37.6, -36.8, -32.8, -28.3, 
##     -16.9, -12.4, -2.59, 2.46, 7.94, 13.2, 18.7, 39.3, 49, 66.7, 
##     70.3, 81.8, 87, 78.1, 75.3, 73.8, 73.1, 72.8, 73.1, 74, 79.2, 
##     81.6, 84, 88.7, 87, 83.4, 77.8, 68.3, 64, 59.5, 48.7, 40.5, 
##     28.8, 22.9, 8.91, 4.93, -4.75, -9.23, -19, -25.3, -28, -35.4, 
##     -36.1, -34.4, -31.8, -30, -19.2, -10.7, 2.39, 7.41, 12.4, 
##     17.6, 28.6, 47.4, 58.7, 70.5, 73, 75.4, 76.8, 75.7, 76.7, 
##     77.9, 78.1, 77.8, 76.9, 71.9, 66.4, 63.1, 51.4, 39.1, 34.4, 
##     29.1, 19.1, 13.5, 4.88, -14.6, -18.1, -24.4, -27.2, -34.9, 
##     -37, -37.2, -33.2, -32, -30.6, -28.4, -25.6, -22.9, -19.8, 
##     -13.1, -9.98, 2.59, 6.62, 10.9, 15, 31.9, 39.6, 50.1, 53.4, 
##     60, 63.1, 68.9, 71.3, 75.3, 75.9, 77.1, 77.6, 77.7, 76.8, 
##     73.7, 71.7, 70.5, 68.9, 51.4, 45.9, 41.3, 37.3, 25.9, 21.8, 
##     20.6, 10.4, -4.59, -18.8, -22.4, -28.3, -30.8, -36, -37.2, 
##     -37.6, -37.9, -37.7, -37.2, -35.6, -34.5, -33.1, -31.8, -30.3, 
##     -28, -25.2, -15.7, -4.71, -0.46, 8, 12.4, 16.1, 20.5, 24.8, 
##     29.1, 33.4, 36.8, 39.9, 42.8, 49.9, 56.2, 58.8, 67.2, 70.1, 
##     70.7, 70.2, 69.3, 67.8, 50.7, 46.9, 36.2, 32, 18.2, 13.4, 
##     -1.11, -5.32, -21.2, -23.5, -25.6, -29, -33.1, -33.8, -35.7, 
##     -35.9, -35.4, -35.1, -34.8, -34.3, -32.3, -25.7, -23.4, -20.9, 
##     -6.72, -3.58, 0.26, 4.05, 12.2, 16.1, 31.8, 35.1, 38.6, 45.4, 
##     48.7, 58.8, 60.3, 61.8, 63.3, 67.2, 68.1, 67.7, 62.9, 56.9, 
##     54.6, 51.9, 49.1, 36.3, 21.9, 20, 10.6, 6.04, 1.14, -3.23, 
##     -9.37, -12.1, -26.8, -28.8, -30.5, -32, -33, -33.6, -34.1, 
##     -34.8, -34.1, -33.7, -32.1, -30.9, -27.1, -22.4, -19.6, -13, 
##     -2, 5.42, 9.63, 18.2, 22.3, 26.3, 46.6, 49.2, 51.9, 54.3, 
##     61.3, 62.5, 63.4, 63.8, 63.7, 63, 58.5, 52, 50.3, 40.7, 38, 
##     26.3, 17.7, 12.9, 10.7, 8.02, 2.62, -3.86, -5.47, -8.37, 
##     -12, -20.1, -30.1, -31.4, -32.1, -33.4, -35.8, -36.5, -36.7, 
##     -36.2, -32.8, -31, -16.4, -0.45, 25.7, 38.1, 41.1, 48.5, 
##     50.9, 57.1, 57.7, 58.2, 56.6, 55.9, 54, 52.4, 47.5, 43.2, 
##     32, 28.1, 22.6, 13.7, 10.6, 2.66, 0, -3.43, -55.6, -56.9, 
##     -57.7, -72.4, -72.1, -71.6, -71.4, -71.1, -70.3, -69.6, -69.5, 
##     -69.5, -69.5, -69.5, -69.6, -69.6, -69.5, -69.5, -69.4, -69.3, 
##     -69.2, -69.1, -69.1, -69.1, -69.1, -69.1, -69.1, -69.4, -69.5, 
##     -69.6, -69.6, -69.5, -69.5, -69.4, -69.4, -69.5, -69.5, -69.5, 
##     -69.5, -69.5, -69.4, -69.4, -69.4, -69.3, -69.3, -69.4, -69.4, 
##     -69.4, -69.4, -69.4, -69.5, -69.5, -69.5, -69.4, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, -2.59, -2.59, -2.59, -2.57, -2.57, -2.57, -2.54, 
##     -2.52, -2.54, -2.55, -2.55, -2.63, -2.58, -2.43, -2.39, -2.34, 
##     -2.33, -2.28, -2.24, -2.2, -2.21, -2.2, -2.18, -2.18, -2.19, 
##     -2.19, -1.83, -1.81, -1.75, -1.7, -1.89, -1.93, -1.93, -2, 
##     -2.01, -1.95, -1.81, -1.87, -1.87, -1.8, -1.79, -1.77, -1.78, 
##     -1.99, -2.03, -2.07, -2.19, -2.62, -2.64, -2.86, -3.11, -3.27, 
##     -3.87, -4.71, -4.58, -4.44, -4.29, -3.97, -3.78, -3.67, -3.59, 
##     -3.49, -3.44, -3.38, -3.29, -3.2, -2.87, -2.13, -1.77, -0.99, 
##     -0.92, -0.82, -0.79, -0.77, -0.75, -0.77, -0.8, -1.19, -1.46, 
##     -1.59, -1.62, -1.69, -1.99, -2.03, -2.13, -2.18, -2.53, -2.53, 
##     -2.45, -2.34, -2.34, -2.1, -1.96, -1.89, -1.87, -1.85, -1.81, 
##     -1.8, -1.81, -1.84, -1.67, -1.76, -1.9, -1.81, -1.67, -1.6, 
##     -1.58, -1.65, -1.75, -1.93, -2.2, -2.49, -2.78, -3.24, -3.37, 
##     -3.53, -3.97, -4.18, -4.35, -4.46, -4.54, -4.54, -4.56, -4.29, 
##     -4.01, -3.9, -3.39, -3.28, -3.12, -2.97, -2.85, -2.76, -2.74, 
##     -2.78, -2.81, -2.78, -2.7, -2.51, -2.38, -1.29, -1.21, -1.24, 
##     -1.66, -1.76, -2.17, -3.16, -3.23, -3.47, -3.8, -3.85, -3.81, 
##     -3.78, -3.66, -3.72, -4.26, -4.39, -4.45, -4.49, -4.46, -4.43, 
##     -4.41, -4.42, -4.41, -4.43, -4.43, -4.38, -4.38, -4.33, -4.22, 
##     -3.8, -3.69, -3.63, -3.57, -3.6, -5.12, -2.58, -1.58, 0.29, 
##     2.38, 3.58, 5.86, 9.32, 15.2, 17.7, 18.8, 21.1, 22.1, 23.3, 
##     23.9, 24.1, 24.3, 24.5, 24.5, 24.2, 24, 22.1, 21.5, 20.8, 
##     20.7, 20.7, 20.7, 20.1, 19.7, 18.7, 18.5, 19.2, 19.3, 19.4, 
##     19.3, 18.9, 18.8, 18.6, 18.6, 18.6, 18.5, 18.4, 18, 17.3, 
##     17.2, 17.2, 17.2, 17.3, 17.4, 17.4, 17.4, 17.2, 17.1, 16.8, 
##     16.7, 16.6, 16.3, 16.2, 16.2, 16.2, 16.1, 16, 15.9, 15.7, 
##     15.5, 15.4, 15.1, 15.1, 15.1, 15.1, 15.7, 16.4, 16.8, 17.2, 
##     18.1, 18.6, 18.9, 19.2, 19.3, 19.4, 19.4, 19.5, 19.8, 19.8, 
##     19.7, 19.4, 18.8, 17.2, 16.8, 16.5, 16.1, 15.3, 13.2, 13, 
##     8.63, 7.62, 7.12, 6.64, 6.32, 7.21, 7.26, 7.34, 7.1, 6.61, 
##     4.94, 3.96, 3.51, 3.2, 4.02, 4.56, 5.73, 7.23, 7.43, 6.36, 
##     5.84, 5.71, 7.54, 7.74, 4.75, 4.79, 4.83, 4.86, 4.9, 5.02, 
##     5.1, 5.11, 5.08, 5.04, 5.04, 5.04, 5.05, 5.13, 5.21, 5.41, 
##     5.91, 7.34, 7.87, 8.4, 9.11, 10.6, 11.6, 12.5, 13.4, 15.6, 
##     18.6, 20.8, 21.7, 22.4, 23, 23.2, 22.9, 22.8, 22.7, 22.5, 
##     22.3, 22.1, 21.7, 21.4, 20.2, 19.1, 15.7, 11.9, 9.97, 7.86, 
##     5.64, 0.36, -0.14, -0.63, -0.55, 0.23, 2.93, 4.77, 5.54, 
##     7.82, 8.53, 9.16, 9.96, 10.9, 14.6, 16.2, 19.7, 21.7, 22.8, 
##     23.8, 24.7, 25.6, 25.4, 23, 20.7, 19.1, 12.5, 11.7, 11.1, 
##     10.1, 9.7, 9.29, 8.94, 12.6, 13.9, 14.2, 14.7, 15.5, 17.3, 
##     18.5, 19.8, 22.7, 23.8, 24.5, 24.8, 21.1, 20.1, 18.1, 17.2, 
##     14.1, 13, 8.95, 5.95, 4.65, 3.22, 1.4, 1.84, 2.39, 3.56, 
##     4.53, 5.18, 5.87, 6.59, 7.15, 8.43, 9.18, 10.6, 11.3, 12.2, 
##     12.7, 14.5, 16.5, 17.8, 18.6, 13.7, 15.4, 16.1, 17.2, 17.4, 
##     17.6, 17.9, 18.3, 20.1, 19.8, 19.4, 18.8, 18.2, 17.7, 17.4, 
##     17.2, 16.3, 15, 8.49, 8.04, 7.99, 8.3, 9.77, 10.6, 12.1, 
##     13.7, 15.6, 16, 17.1, 17.2, 17.2, 18.2, 18.6, 19, 18.2, 15.2, 
##     14.7, 14.4, 14.2, 13.8, 13.3, 12.7, 11, 9.13, 6.81, 22.7, 
##     22.6, 22.4, 22.2, 20.7, 20.3, 19.8, 17.2, 16.9, 16.4, 15.2, 
##     14.7, 13.8, 13.6, 13.4, 13.3, 13.4, 13.5, 14.1, 14.9, 15.5, 
##     20.1, 20.7, 21.9, 22.4, 22.8, 23.3, 23.8, 24.6, 24.9, 25.6, 
##     25.8, 25.4, 25, 24.4, 22.5, 22, 21.4, 20.3, 18.2, 16.6, 15.4, 
##     12.3, 7.48, 4.7, 3.86, 1.08, 0.79, 0.69, 0.7, 0.86, 1.05, 
##     1.52, 3.91, 7.72, 9.22, 10.8, 11.3, 11.8, 12.2, 15.7, 17.9, 
##     19, 20.1, 21.8, 22.4, 23.2, 23.4, 23.5, 23.8, 24, 21.3, 18.3, 
##     18, 17.8, 16, 14.5, 14.7, 15, 19.3, 21, 21.5, 21.9, 22.3, 
##     23.4, 24, 25.3, 25.7, 26.3, 24.6, 22, 20.5, 18.7, 17.9, 16.2, 
##     15.8, 13.3, 2.89, 1.81, 0.63, -1.1, -1.56, -2.36, -2.53, 
##     -0.47, 2.91, 4.15, 5.47, 6.76, 8.14, 10.4, 11.7, 13, 14.2, 
##     19.8, 22.2, 24.5, 25.7, 27.1, 28.3, 29.6, 30.7, 31.5, 32.5, 
##     33.2, 33.3, 33.4, 31, 30.3, 28.3, 27.3, 26.5, 26, 25.5, 23.7, 
##     23.3, 20.5, 20.6, 21, 22.5, 22.8, 23.6, 23.9, 24.3, 24.9, 
##     27.3, 30.4, 32.2, 33.5, 33.3, 33.1, 32.9, 31.6, 30.7, 30.2, 
##     29.5, 28.9, 28, 24.8, 23.9, 21.8, 20.7, 17.5, 7.97, 6.95, 
##     5.95, 5.07, 4.13, 3.16, 2, 0.92, -0.95, -1.39, -1.4, 1.3, 
##     1.88, 2.64, 3.54, 5.46, 13.2, 14.4, 16.7, 19.2, 22.3, 24.4, 
##     25.7, 27, 31.4, 34.5, 34.7, 34.9, 35.4, 35.7, 35.9, 36.8, 
##     37.1, 37, 36.3, 35.1, 33.5, 31.4, 30.5, 29.2, 28.8, 27.6, 
##     26.8, 26, 25, 22.6, 21.2, 20.2, 19.2, 18.1, 18, 18.2, 18.3, 
##     18.8, 19.1, 20.2, 22.8, 23.8, 25, 28.8, 30.2, 31.5, 34.5, 
##     34.9, 35.3, 36.4, 37.1, 36.8, 34.7, 33.5, 32.2, 31, 23, 21.7, 
##     21.7, 25.3, 28.4, 30.9, 41.6, 42.1, 41.8, 40.5, 39.2, 38.7, 
##     38.2, 37.8, 37.4, 36.8, 35.4, 34.7, 31.9, 30.5, 27.6, 26.4, 
##     19.6, 18.8, 17.4, 16.9, 16.5, 16, 17.2, 17.8, 18.9, 20.4, 
##     21.3, 22.2, 23.2, 25, 26, 27.9, 28.7, 30.6, 32.2, 33.2, 34.5, 
##     35.4, 36, 36.4, 36.7, 37, 36.7, 36.5, 33.6, 33.2, 32.6, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 13.2, 10.2, 7.5, 5.46, 4.43, 3.56, 
##     2.72, 2.07, 0.89, -0.41, 0.74, 1.16, 1.96, 2.6, 3.14, 5.27, 
##     6.19, 8.68, 13.8, 15.8, 19.9, 3.25, 2.97, 2.72, 2.46, 0.86, 
##     -0.08, 0.3, 0.65, 1, 2.12, 3.01, 4.16, 5.42, 9.14, 11.8, 
##     13.9, 14.8, 15.7, 16.5, 17.1, 18, 19.4, 20.1, 20.7, 21.2, 
##     21.6, 22.5, 22.7, 22.8, 22.9, 7.88, 8.21, 8.66, 8.98, 8.98, 
##     8.24, 7.85, 7.58, 6.98, 6.8, 6.36, 5.77, 5.71, 4.93, 3.75, 
##     3.83, 4.87, 5.16, 5.19, 5.14, 5, 4.89, 4.67, 12.8, 12.5, 
##     12.2, 12, 12, 12, 11.9, 11.8, 11.6, 11.5, 11.2, 11.1, 11, 
##     10.6, 10.1, 9.74, 9.62, 9.4, 9.31, 9.27, 8.98, -3.61, -3.6, 
##     -3.62, -3.72, -3.83, -4.03, -4.83, -5.14, -5.17, -5.38, -6.28, 
##     -6.68, -7.06, -7.7, -7.76, -7.7, -7.4, -1.66, -1.64, -1.64, 
##     -1.65, -1.65, -1.64, -1.64, -1.63, -1.65, -1.66, -1.3, -1.33, 
##     -1.47, -1.45, -1.5, -1.79, -1.85, -1.87, -40.3, -40.3, -40.4, 
##     -40.4, -40.4, -40.4, -40.4, -40.6, -40.6, -40.7, -40.7, -40.8, 
##     -40.8, -40.8, -40.7, -40.7, -40.6, -40.6, -40.6, -40.5, -40.5, 
##     -40.4, -40.2, -40, -55.1, -55.2, -55.2, -55.3, -55.3, -55.2, 
##     -55.1, -55.3, -55.3, -55.3, -55.1, -55, -54.2, -55.7, -56.2, 
##     -56, -55.4, -54.6, -54.1, -53.9, -53, -52.9, -53, -53.7, 
##     -53.9, -54.1, -54.3, -54.7, -6.96, -6.54, -6.19, -5.78, -4.25, 
##     -3.6, 4.42, 7, 8.21, 10.4, 14.7, 14.7, 11.7, 11.2, -20.9, 
##     -20, -19.4, -18.7, -17.8, -10.9, -7.43, -1.9, -0.39, 3.38, 
##     5.78, 6.13, 6.31, 5.98, 5.51, 4.77, 2.82, 0.6, -1.89, -3.15, 
##     -6.7, -7.61, -8.38, -9.62, -10.1, 3.69, 4.78, 6.61, 6.79, 
##     6.72, 6.53, 6.28, 6.02, 5.28, 4.86, 4.79, 4.76, 4.97, 4.91, 
##     3.97, 3.32, 2.35, 1.1, -8.69, -9.92, -20.3, -21.1, -22.6, 
##     -17.7, -16.5, -15.2, -13.9, -10.6, -9.78, -8.12, -7.45, -8.13, 
##     -9.03, -9.68, -10.1, -9.76, -8.7, -7.96, -7.25, -6.59, -5.96, 
##     -5.31, -4.53, -4.31, -4.1, -4, -3.95, -3.85, -3.69, 5.32, 
##     2.9, -15.1, -18.3, -20.7, -27.5, -29.5, -31.2, -34.2, -35.4, 
##     -36.4, -37.4, -37.5, -37.4, -37.2, -37, -36.7, -36.5, -36.1, 
##     -33.4, -31.5, -23.2, -20.7, -19.2, -19, -60.7, -60.6, -60.6, 
##     -60.5, -60.5, -60.4, -60.3, -60.1, -59.6, -59.5, -59.4, -59.3, 
##     -59.2, -59.1, -59, -58.8, -58.6, -58.6, -58.3, -58.3, -58.1, 
##     -58.1, -58, -57.8, -57.7, -57.5, -62.2, -61.6, -61, -61.5, 
##     -61.9, -63, -65.4, -0.14, -67.3, -67.4, -67.3, -67.4, -66.6, 
##     -66.5, -67, -67.3, -68, -68.8, -70.6, -71.6, -72.4, -72.5, 
##     -72.5, -72.5, -63.9, -64.2, -64.4, -64.5, -64.6, -65.8, -66, 
##     -66.1, -66.3, -66.7, -66.8, -66.8, -67, -67, -67, -66.9, 
##     -66.8, -66.7, -66.5, -66.2, -65.5, -64.1, -63.8, -63.3, -59.8, 
##     -60.4, -61, -61.5, -61.7, -61.9, -62.1, -62.5, -62.8, -63, 
##     -63.1, -63.2, -63.3, -63.3, -63.3, -63.3, -63.2, -63, -63.1, 
##     -63.2, -63.3, -63.4, -63.5, -63.6, 42.9, 37.4, 32.7, 30.2, 
##     29.1, 24.9, 22.1, 20.3, 15.4, 14.9, 13.6, 13.2, 13, 13.2, 
##     19.5, 21.2, 22.7, 24.6, 26.5, 44.6, 47, 49.6, 54.2, 56.3, 
##     59.8, 62.1, 45.3, 58.5, 67, 70.6, 69.8, 68.6, 62.6, 60.1, 
##     53, 50.5, 45.7, 43.5, 40.7, 31.3, 17.7, 16.1, 46, 65.6, 68.4, 
##     74.4, 74.9, 68.8, 65.3, 60.9, 54.3, 52.2, 45.1, 38.7, 32.1, 
##     30.1, 28.1, 24.1, 22.4, 20.6, 19.1, 13.7, 78.9, 77.4, 68.7, 
##     60.2, 53.9, 50.7, 42.7, 39.4, 46, 53.4, 58.9, 67.6, 75.9, 
##     78.5, 80.9, 72, 69.6, 58.7, 56.3, 4.67, 5.07, 5.59, 5.84, 
##     7.05, 7.88, 8.47, 8.98, 9.63, 10.3, 11.2, 12.9, 14, 15.2, 
##     18.9, 20.4, 21.8, 28.5, 32.3, 34.4, 36.5, 39, 41.1, 46.4, 
##     49, 57, 59.7, 62.6, 83.5, -1.87, -1.83, -23.4, -28, -42.3, 
##     -45.4, -48.4, -51.1, -54.1, -54.2, -53.5, -49.7, -43.1, -40.6, 
##     -37.7, -34.6, -31.1, -27.4, -19.6, -15.4, -7.13, -2.99, 4.62, 
##     8.34, 15.3, 19.2, 23.1, 30.4, 35.8, 38, 39.8, 41.6, 43.1, 
##     13.4, 13.2, 13.2, 13.5, 14.3, 14.8, 19.2, 20.5, 25.2, 37.8, 
##     44.1, 46.4, 48.7, 57.5, 59.3, 60.9, 63, 63.5, 62.4, 61.5, 
##     56.1, 53.6, 51.3, 45.3, 43, 42.9, 44.6, 52.7, 54.9, 57.5, 
##     62.5, 64.3, 66.8, 64.8, 58.9, 50.3, 48.4, 46.1, 44.4, 38.9, 
##     37.2, 33.5, 31.5, 28, 23.5, 20.6, 19, 18.1, 16.9, 15.7, 14.5, 
##     14.4, 14.1, 14.6, 16.1, 16.9, 17.7, 20.1, 23.1, 26.5, 32.7, 
##     35, 39.3, 47.5, 49.4, 51.3, 53, 56.7, 56.7, 52.9, 51.3, 49.9, 
##     48.7, 41.4, 41.3, 41.9, 44.8, 46.6, 48.7, 51.4, 53.9, 62, 
##     64.3, 4.68, 4.61, 4.6, 4.73, 5.42, 5.77, 5.89, 6.14, 6.31, 
##     6.38, 6.45, 6.54, 6.58, 6.77, 6.96, 7.01, 7.03, 7.19, 7.26, 
##     7.26, 7.2, 7.24, 7.24, 7.21, 7.31, 7.34, 7.35, 7.32, 7.23, 
##     7.22, 7.27, 7.26, 7.94, 8.83, 9.29, 10.1, 11.7, 12.7, 13.9, 
##     17.3, 19.2, 23.6, 25.7, 35.2, 42.4, 44.7, 47.1, 53.4, 57.6, 
##     57, 56.1, 54.8, 49, 46.9, 44.2, 37.3, 29.9, 30, 33.4, 45.8, 
##     48.5, 51.3, 70.2, 70.8, 62.3, 46.2, 39.3, 36.4, 33.2, 20.1, 
##     17.3, 14.9, 10.6, 6.77, 4.76, 2.11, 0.18, -1, -1.95, -2.08, 
##     -2.1, -1.93, -1.44, -0.75, 1.17, 2.24, 13, 15.6, 26.9, 44.2, 
##     46.8, 51.5, 54.9, 57, 57, 56.9, 42.3, 39.5, 36.6, 36.6, 39, 
##     43.6, 51.2, 53.7, 56.1, 60.2, 62.7, 64.7, 68.9, 70, 70.2, 
##     66.6, 63.7, 60.7, 58.1, 54.6, 51.5, 39.8, 37.2, 33.9, 25.7, 
##     14.5, 11.7, 6.61, 2.67, -0.9, -4.36, -5.99, -7.22, -5.78, 
##     -5.05, -4.09, -3, 2.87, 5.01, 20.4, 26, 28.9, 37.3, 43.1, 
##     46, 51.3, 53.3, 57.9, 58.2, 58.3, 54.7, 52.3, 45.8, 42.3, 
##     39.5, 36.8, 37.5, 39.1, 41.4, 46.5, 49.2, 52, 58.9, 60.9, 
##     62.3, 59.6, 52.4, 49.1, 46.3, 43.3, 40, 29.7, 22.8, 51.6, 
##     54.8, 62.7, 64.8, 65.1, 64.2, 58.8, 55.1, 48.6, 42.8, 42.9, 
##     51.6, 61.5, 68.7, 69.9, 72.1, 70.7, 59.8, 51.1, 47.6, 43.1, 
##     38.5, 26.4, 13, 5.74, 3.63, -0.09, -1.44, -11.5, -13.2, -10.9, 
##     -8.32, -6.8, -5.63, -4.09, -2.26, 1.85, 7.43, 10.2, 22.4, 
##     28.4, 31.4, 34.7, 37.9, 44.5, 47.7, 53.4, 55.1, 57.1, 57.7, 
##     51, 48.3, 45.3, 40.2, 37.2, 38.7, 40.2, 41.6, 43.5, 45.5, 
##     50, 55.5, 58.3, 64.9, 67, 66.8, 57.5, 54.2, 42.5, 39.5, 29.6, 
##     20.2, 17.1, 8.99, -4.08, -6.65, -8.93, -10.2, -10.2, -9.5, 
##     -8.06, -7.53, -6.92, -6.13, -5.07, -3.89, 11.5, 14.2, 21.9, 
##     24.5, 29.9, 32.8, 41, 45.5, 49.2, 50.3, 50, 36.3, 34.5, 44.5, 
##     65.2, 65, 62.9, 7.36, 9.71, 12.1, 36, 39.4, 45.1, 47.5, 51.1, 
##     52.8, 53.4, 52.7, 51.3, 48.6, 41.5, 39, 35.9, 36.5, 45.7, 
##     47.4, 48.9, 52.8, 54.4, 55.7, 57, 58.5, 51, 45.5, 38.7, 35.3, 
##     32.6, 29.3, 23, 17, 12.4, 10.3, 6.69, 5.62, 2.23, 0.81, -2.03, 
##     -3.32, -6.08, -9.3, -10.1, -11.6, -12.2, -12.6, -13.3, -13.2, 
##     -7.41, -4.71, 3.94, 6.95, 19.5, 22.7, 31.5, 34.7, 42.8, 45.5, 
##     49.2, 51, 51.5, 50.8, 49.5, 47.4, 36.2, 34.8, 34.5, 35.2, 
##     36.6, 41, 43.2, 48.1, 52.6, 54.9, 57.5, 56.5, 53.7, 50.9, 
##     48.2, 44.6, 38.6, 35.5, 32.3, 29.9, 22.7, 69.1, 18.9, 19.2, 
##     20.3, 20.1, 19.9, 19.7, 19.5, 19.2, 19.1, 19.1, 19.4, 19.1, 
##     19, 18.9, 19.4, 21.5, 24.5, 24.6, 24.6, 24.6, 24.6, 24.6, 
##     24.9, 25.1, 25.3, 25.6, 25.7, 25.7, 25.8, 25.7, 25.4, 25.1, 
##     24.4, 24, 23, 22.5, 22.2, 21.8, 21.2, 20.5, 19.7, 12.1, 10, 
##     7.96, 6.96, 6.08, 4.9, 4.58, 4.31, 4.33, 4.34, 4.16, 3.99, 
##     3.58, 3.38, 2.49, 1.88, 0.79, 0.5, 0.86, 2.02, 2.33, 1.56, 
##     1.75, 4.26, 6, 6.94, 9.41, 11.1, 12.8, 13.8, 17.7, 19.2, 
##     21.8, 23, 24, 24.7, 25.3, 26.8, 28.3, 28.8, 28.8, 28.2, 27.9, 
##     27.6, 27.2, 26.9, 25.2, 24.3, 23.3, 22.4, 18.9, 18.5, 18.5, 
##     18.6, 19.2, 19.8, 20.1, 20.4, 20.3, 19.9, 19.8, 19.7, 19.7, 
##     19.2, 18.5, 16.3, 11.7, 9.59, 7.58, 6.91, 6.47, 5.3, 5.08, 
##     4.95, 4.87, 5.53, 5.9, 6.24, 7.55, 8.06, 8.5, 8.76, 21, 19.6, 
##     19.1, 18, 17.3, 16.6, 15.3, 15.3, 15.5, 15.7, 15.9, 16.1, 
##     16.1, 16.1, 16.1, 16.1, 16.2, 16.5, 17.8, 18.5, 21, 23.5, 
##     23.8, 23.7, 23.2, 22.6, 22, 21.2, 20.5, 19.8, 18.4, 17.7, 
##     16.9, 15.3, 14.3, 12.4, 11.2, 11.1, 10.8, 9.79, 9.51, 9.07, 
##     8.97, 8.89, 8.87, 8.75, 8.67, 8.13, 7.67, 7.25, 6.97, 8.45, 
##     9.23, 10.6, 11.1, 11.7, 12.7, 13.5, 14.4, 14.8, 15.7, 16.9, 
##     17.2, 17.5, 19.3, 19.8, 23.2, 25.9, 25.2, 24.5, 23.6, 21.5, 
##     19.8, 19.3, 18.9, 18.8, 18.3, 17.5, 16.9, 15.5, 14.8, 14.1, 
##     12.6, 12.8, 13.1, 13.5, 15.2, 15, 14.9, 15.2, 15.3, 15.2, 
##     14.8, 14.2, 13.7, 11.6, 11.3, 12.9, 14.7, 15.5, 16.7, 17.1, 
##     17.4, 17.7, 18, 18.1, 18, 18.1, 17.8, 20, 20.5, 20.9, 21.2, 
##     20.9, 20.1, 19.6, 18.7, 17.3, 15.9, 15.6, 15.4, 15.1, 14.6, 
##     14.2, 13.7, 13.3, 12.8, 12.5, 13, 14.4, 14.9, 15, 15, 15.1, 
##     15.2, 15.6, 15.9, 17, 17.4, 17.6, 17.2, 17.1, 17.2, 17.7, 
##     18, 18.7, 19.1, 19.4, 19.6, 19.1, 18, 17.6, 16.7, 17.1, 18.4, 
##     18.5, 17.7, 16.9, 15.9, 15.9, 16.7, 18.5, 18.7, 18.6, 18.2, 
##     17.6, 17.6, 18, 18.7, 20.2, 20.9, 23.4, 23.6, 22.6, 21.7, 
##     19.3, 17, 16, 14.9, 14.7, 14.7, 14.3, 13.4, 12.8, 12.1, 10.2, 
##     7.74, 7.4, 7.2, 7.2, 7.39, 7.75, 8.76, 9.35, 11.9, 12.7, 
##     12.9, 12.7, 12.5, 12.8, 13.6, 15.6, 16, 17.1, 17.9, 18.1, 
##     19.8, 22.7, 22.8, 22.8, 22.6, 22, 20.9, 21.2, 22.6, 23.4, 
##     23.5, 23.5, 23.4, 23.3, 22.8, 22.4, 21.9, 21.4, 18.8, 18.1, 
##     16.7, 15.4, 14.3, 15.8, 16.4, 17.1, 17.6, 18.3, 18.7, 19.1, 
##     19.2, 19.3, 19.3, 19.2, 19.1, 18.3, 17.7, 15.9, 15, 13.7, 
##     12.9, 12.4, 12.6, 13.9, 21.5, 21.4, 21.2, 20.9, 20.4, 19.6, 
##     19.1, 18.5, 17.5, 17.2, 16.5, 17, 17.6, 18.3, 19.1, 20.7, 
##     22.2, 23, 23.2, 23.4, 22.5, 21.1, 19.6, 18.7, 17.8, 16.9, 
##     16.1, 15.2, 14.4, 12, 12.2, 12.5, 13.2, 14.1, 15.2, 15.8, 
##     17.1, 17.3, 17.5, 17.6, 17.2, 16.9, 16.4, 11, 10.4, 10.3, 
##     9.81, 9.55, 9.37, 10.5, 10.9, 12, 13, 13.1, 13, 13, 13.1, 
##     13, 12.9, 13, 13.3, 13.6, 14.1, 15.7, 16.9, 17.3, 18.3, 18.3, 
##     18.5, 18.6, 18.6, 18.9, 19.7, 20.9, 22.3, 22.8, 65.4, 58.2, 
##     43.7, 33.1, 29.7, 22.8, 20, 11.3, 8.43, 2.75, -0.02, -2.98, 
##     -7.94, -15.4, -20, -25.4, -35.7, -36, -36, -35.3, -34.5, 
##     -31.8, -25.3, -22.4, -19.4, -15.9, -12.1, -4.19, 0.27, 4.18, 
##     17.4, 25.9, 39.2, 43.5, 51.8, 55.8, 63.3, 66.7, 80.1, 83.3, 
##     85.7, 83.3, 74, 68.4, 66.6, 65.6, 66.3, 69.9, 73.2, 79.9, 
##     87.5, 70.5, 50.3, 46.6, 39.6, 32.4, 25.5, 18.6, 15.5, 12.1, 
##     8.65, 2.73, -0.12, -3.04, -5.59, -8.29, -16.1, -21.3, -28, 
##     -31.3, -32.8, -33.8, -35.3, -33, -31.6, -29.8, -25.1, -22, 
##     -19, -12.2, -0.01, 8.13, 11.9, 20.4, 33.2, 37.1, 45.3, 64.5, 
##     72.2, 79.5, 83, 85.8, 65.1, 63.5, 62.6, 64.5, 65.5, 68, 69.4, 
##     71.1, 73.1, 75.1, 82.9, 85.4, 88.4, 82.2, 72.4, 66.9, 62.8, 
##     55.7, 47.6, 39.7, 27.9, 14.4, -24.8, -24.9, -24.9, -25, -25.2, 
##     -25.3, -25.4, -25.7, -25.8, -26, -26, -26, -26.1, -26.2, 
##     -26.3, -26.3, -26.2, -26.2, -26.1, -26, -26, -26, -26.1, 
##     -26.2, -26.2, -26.1, -26.1, -26.1, -25.9, -25.2, -25.1, -25, 
##     -24.9, -24.9, -25, -25.1, -25.1, -25.1, -25, -25, -25, -24.8, 
##     -24.5, -24.2, -23.7, -20.8, -19.2, 36.4, 42.8, 46.4, 53.9, 
##     61, 69.1, 79.6, 81.9, 82, 79.6, 76.1, 71.9, 59.3, 46.1, 38, 
##     34, 30.1, 21.7, 18.1, 10.6, 7.12, 3.94, 0.59, -11.6, -18, 
##     -19.3, -20.2, -21.6, -22, -22.2, -21.8, -18.1, -16, -13.5, 
##     -2.95, 5.48, 15.3, 26.1, 42.3, 47.7, 64.3, 66.7, 66.4, 64.1, 
##     54, 45.2, 32.9, 23.6, 20.2, 20.1, 20.7, 21.8, 22.6, 26.2, 
##     30.3, 32.7, 40.2, 42.9, 55.5, 65.9, 69, 59.7, 56.2, 49.3, 
##     46, 42.7, 39.1, 32.8, 30, 12.7, 7.82, 0.16, -3.49, -5.19, 
##     -6.48, -7.46, -8.27, -8.82, -9.24, -8.94, -8.46, -6.66, -5.31, 
##     -3.91, 2.07, 4.07, 6.51, 14.2, 20.3, 30.3, 36.3, 38.8, 43.7, 
##     44.8, 45, 44.9, 44.6, 44.4, 24.1, 9.05, 7.22, 5.27, 3.53, 
##     1.9, -2.05, -3.24, -5.03, -5.85, -5.86, -5.55, -4.13, -3.02, 
##     -1.77, 1.39, 5.43, 7.43, 12.4, 18.1, 24.2, 27.6, 30.8, 37.2, 
##     42.6, 46.7, 47.6, 47.5, 47, 43, 41.1, 37.1, 34.3, 31.9, 20.8, 
##     20.5, 20.4, 20.8, 23.2, 24.4, 29.6, 31.1, 32.5, 35.5, 37.2, 
##     38.9, 42.5, 44.2, 47.7, 50.7, 8.54, 17.1, 27.3, 34, 41.8, 
##     43.4, 44.9, 45, 40.1, 38.6, 36.6, 31.9, 29.4, 22.9, 20.3, 
##     27.8, 31.8, 34, 35.9, 46.2, 51.5, 52.8, 52.7, 51.5, 48.1, 
##     40.4, 35.2, 29.2, 25.1, 22.9, 20.7, 18.8, 16.7, 12.6, 4.66, 
##     1.17, -0.33, -1.76, -3.92, -6.63, -5.61, -4.63, -3.3, 0.02, 
##     23, 35.5, 38.9, 41.4, 41.8, 41.5, 40.2, 39.3, 35.3, 33.8, 
##     31.3, 27.8, 27.5, 27.5, -1.51, -2.71, -6.1, -6.36, -5.85, 
##     -5.21, -4.32, -2.82, -0.96, 1.17, 3.7, 9.46, 18.5, 24.6, 
##     27.2, 32.1, 34.5, 36.7, 39.1, 40.8, 43.4, 43.9, 44, 43.8, 
##     43.5, 42.8, 41.4, 37.6, 27.6, 25, 22.8, 12.6, 10.6, 8.2, 
##     5.99, 4.21, 2.45, 0.76, -0.57, -5.15, -5.52, -5.89, -5.62, 
##     0.05, 1.88, 4.05, 8.84, 11.7, 17.8, 24.4, 27.6, 43.4, 46.6, 
##     48.4, 49.1, 49.6, 48.1, 46.9, 43.4, 41, 35, 33.1, 31.4, 27.3, 
##     26.5, 26, 25.9, 26.1, 26.6, 28, 29, 31.6, 33.3, 37.4, 46.6, 
##     49.3, 51.5, 53, 52.2, 50.8, 49, 46.5, 44.1, 39.3, 29.9, 27.4, 
##     25.1, 19.7, 16.9, 6.67, 4.41, -5.79, -7.22, -9.67, -12.5, 
##     -13.1, -13.8, -13.3, -11.9, -9.24, -7.63, -5.65, -0.94, 8.54, 
##     22.8, 30.1, 37.8, -13.2, -15.9, -18.5, -20.6, -24.7, -26.2, 
##     -28.3, -32.6, -32.9, -32.9, -33, -32.7, -32.3, -31.9, -31.7, 
##     -31.6, -31.3, -30.8, -30.8, -30.7, -30.7, -30.5, -30.5, -30.6, 
##     -30.4, -30.3, -30.2, -30.1, -30.2, -30.3, -30.5, -30.7, -30.8, 
##     -30.8, -31.3, -31.4, -31.5, -31.8, -31.8, -34.3, -34.3, -33.9, 
##     -33.1, -28.9, -24.4, -15.4, 3.36, 24.2, 38.4, 42.4, 45, 56.7, 
##     57, 55.9, 54.7, 49.4, 44.7, 43.6, 44.2, 45.3, 51.7, 52.8, 
##     53.7, 49.9, 36, 22.2, 17.6, 13.8, 3.88, -4.29, -20.9, -22.5, 
##     -23.8, -25.4, -26, -27.8, -27.3, -25.9, -21.5, -19.2, -17.3, 
##     -14.7, -11.6, 0.88, 20.7, 25.7, 37, 46, 50.3, 49.3, 47.9, 
##     43.1, 38.7, 38.9, 39.5, 40.6, 41.8, 43.1, 45.5, 46.3, 47.6, 
##     1.99, 4.91, 8.19, 19.1, 26.1, 35.2, 43.9, 45.1, 43.3, 39.2, 
##     37.8, 36.9, 37.7, 38.5, 39.4, 40.5, 43.2, 44.7, 44.8, 43.9, 
##     39.2, 36.3, 32.5, 29, 20, 10.6, 4.47, -6.5, -9.68, -10.2, 
##     -10.5, -10.6, -10.7, -7.82, -0.13, 2.2, 5.06, 7.97, 11.1, 
##     14.6, 18.4, 32.5, 35.3, 38.3, 39.4, 35.9, 33.7, 31.4, 27.6, 
##     26.2, 27.1, 28.2, 29.7, 31.1, 34.3, 37.8, 39.4, 41.1, 42.5, 
##     43.7, 44, 39.8, 36.8, 29.5, 27.3, 21.4, 5.34, 2.81, -1.68, 
##     -5.16, -8.86, -9.25, -9.52, -10, -7.92, -1.27, 6.31, 9.12, 
##     14.9, 17.8, 20.8, 24.2, 34.5, 35.8, 38.4, 37.5, 30.9, 30, 
##     30.4, 31.2, 32.3, 35.9, 36.4, 36.2, 31.9, 27, 25.1, 23, 19.3, 
##     15.8, 8.66, 2.75, -1.08, -3.59, -4.96, -5.99, -7.12, -7.43, 
##     -6.64, -5.27, -4.41, -3.49, 1.58, 6.88, 8.83, -0.27, -0.38, 
##     -0.54, -1.27, -0.97, -0.41, 0.35, 1.99, 6.89, 10.5, 19.5, 
##     21.3, 24.7, 27.1, 26.5, 26.4, 26.4, 26.3, 27.6, 30.1, 30.9, 
##     32.4, 32, 31.9, 29.4, 25.2, 16.6, 11.1, 8.02, 4.82, 2.55, 
##     0.61, 0.45, 0.32, 0.1, 0.07, 0.33, 0.87, 4.28, 12.9, 14.9, 
##     16.9, 18.8, 20.3, 21.8, 22.7, 21.1, 18.5, 17.4, 19.3, 20.6, 
##     21.6, 22.4, 22.7, 23.6, 23.6, 22.9, 21.2, 20.3, 16.3, 15.1, 
##     11.4, 10.3, 9.04, 5.84, 5.12, 3.9, 4.03, 3.92, 3.64, 2.33, 
##     1.79, 1.26, 1.86, 3.26, 5.06, 7.95, 8.74, 9.43, 10.2, 12.5, 
##     14.5, 15.7, 16.4, 17, 18.3, 18.9, 21.7, 22.2, 23.2, 23.4, 
##     22.9, 22.3, 20.7, 19.8, 20, 22, 22.1, 22.6, 23.1, 22, 22.3, 
##     20.9, 19.6, 18.4, 14.7, 13.5, 12.5, 10.8, 9.73, 9.3, 8.96, 
##     8.25, 26.2, 25.4, 25.3, 24.6, 22.9, 22.1, 21.2, 20.5, 17, 
##     15.9, 13.9, 11.3, 10.9, 10.5, 9.6, 8.67, 8.14, 7.49, 7.47, 
##     7.55, 7.5, 7.26, 7.1, 6.99, 6.87, 6.78, 6.78, 7.57, 7.18, 
##     7.21, 7.22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30.8, 27.8, 
##     26.3, 23.3, 21.9, 20, 17.9, 16.5, 14.9, 10.6, 7.98, 7.41, 
##     6.65, 6.25, 5.45, 5.06, 4.74, 6.11, 6.9, 7.78, 8.79, 14, 
##     30.6, 29.1, 27.7, 25.6, 25, 25.5, 26.5, 27.8, 29, 29.8, 30.4, 
##     30.9, 32.9, 33.5, 34.1, 34.6, 35.9, 36.5, 36.9, 36.9, 36.2, 
##     34.7, 34, 33.3, 32.7, 32, 31.4, 30.7, 28.8, 25.3, 17.5, 15.6, 
##     14.7, 11.3, 10.2, 9.23, 8.2, 7.14, 6.12, 4.74, 2.37, 1.48, 
##     0.84, 0.05, 0.71, 2.7, 4.72, 5.64, 6.63, 9.5, 11.2, 13.1, 
##     16.6, 20.1, 21.9, 29.8, 31.1, 33.6, 35.8, 38.2, 41.4, 41.6, 
##     40.2, 39.4, 38.5, 35.8, 35, 34.8, 34.5, 34, 33.3, 32.2, 31.6, 
##     29.9, 27.5, 26.1, 23.8, 22.7, 21.9, 20.9, 19.3, 17.9, 17.3, 
##     16.3, 15.4, 15, 14.4, 13.8, 13.8, 13.9, 15.7, 23.2, 25.3, 
##     28.2, 29.1, 30, 31.9, 33.8, 35.6, 38.3, 39.6, 40.1, 41, 41.9, 
##     42.4, 43.9, 43.8, 43.6, 42.7, 42, 40.7, 40, 38.5, 37.4, 35.6, 
##     34.8, 26, 23.4, 21.2, 20.3, 18.1, 17, 14.9, 13.7, 11.5, 8.73, 
##     7.57, 9.04, 10.7, 11.3, 11.8, 12.3, 12.8, 13.7, 14.4, 14.6, 
##     14.9, 15.3, 15.5, 16.1, 16.3, 16.5, 16.9, 17.9, 18.1, 18.6, 
##     19.2, 19.6, 20.2, 27.8, 33, 36.2, 37.7, 39.2, 41.9, 42.7, 
##     43.5, 43.5, 43.1, 42.3, 40.4, 39, 37.7, 36, 34.1, 32.2, 27.9, 
##     25.4, 23, 1.81, 4.26, 12.9, 18.8, 22.1, 30.2, 37.2, 39.4, 
##     41.1, 44.1, 44.5, 44.5, 42.7, 41.5, 40.1, 38.5, 32.8, 26.8, 
##     23.5, 20, 17, 14, 9.93, 7.15, 6.32, 18.2, 16.5, 12.9, 11.1, 
##     9.13, -6.24, -7.65, -16.1, -17.3, -18.7, -19, -18.2, -17.8, 
##     -14.8, -9.45, -0.76, 2.9, 7.11, 9.92, 12.4, 17.4, 22.1, 24.3, 
##     28.3, 30, 34.4, 34.8, 35, 35.3, 35.6, 35.2, 34.7, 32.9, 31.3, 
##     20, 18.5, 16.9, 15.4, 10, 8.81, 5.25, 2.33, 1.77, 1.38, 1.11, 
##     1.64, 2.04, 3.14, 3.82, 4.73, 5.61, 6.67, 8.96, 13.5, 18.7, 
##     23.6, 27.6, 29.1, 31.6, 32.6, 35.4, 35.5, 35.1, 32.7, 28.3, 
##     20.9, 14, 12.2, 10.6, 8.99, 4.72, 3.43, 2.21, -0.02, -2.21, 
##     -3.44, -4.54, -7.61, -8.71, -14.7, -14.4, -13.8, -12.4, -11.6, 
##     -10.7, -9.17, -8.35, -6.69, -5.67, -4.44, 2.79, 9.59, 16.8, 
##     18.3, 21.7, 23.2, 24.5, 27.2, 28.2, 30.3, 29.6, 28.7, 23.8, 
##     21.1, 19.8, 17.7, 15.5, 13.2, 10.8, 8.21, 4.78, -2.89, -5.17, 
##     -6.24, -7.27, -9.01, -9.45, -8.32, -7.57, -6.69, -3.1, -1.82, 
##     -0.4, 0.99, 4.07, 5.67, 8.8, 10.6, 12.7, 15.3, 20.5, 23.2, 
##     28.5, 29.6, 29.1, 26.9, 24.1, 22.9, 20.9, 19.9, 18.7, 16.4, 
##     14.2, 7.29, 5.06, 3.81, 2.52, -0.01, -2.67, -5.66, -7.05, 
##     -8.27, -10.1, -10.9, -11.5, -11.8, -10.8, -10.3, -9.78, -7.84, 
##     -7.08, -5.11, -0.24, 1.17, 12.1, 16.9, 19.4, 22, 24.2, 25.8, 
##     27.6, 31.2, 32.6, 33.7, 34.1, 32.9, 32.3, 29.7, 28.2, 21, 
##     18.8, 15.5, 14.3, 12.9, 11.8, 10.8, 8.06, 29.7, 28.9, 28.4, 
##     27.8, 25.9, 24.6, 18.7, 17.2, 15.6, 12.6, 11.3, 9.81, 8.33, 
##     5.46, 1, -0.44, -4.17, -12.8, -14.1, -14.8, -14.7, -14.4, 
##     -13, -12, -10.6, -7.06, -5.92, -4.76, -3.49, -2.09, -0.74, 
##     0.95, 3.94, 5.48, 8.84, 10.6, 12.2, 14.3, 23.6, 27, 27.2, 
##     27.6, 28, 26.1, 25, 23.8, 20.6, 20, 16.3, 14.4, 10.3, 8.56, 
##     7.27, 6.06, 4.9, 2.7, 1.91, 1.33, 0.84, 0.48, 0.16, 0.32, 
##     0.62, 2.38, 3.75, 4.54, 5.29, 5.99, 11.8, 19.6, -2.49, -3.53, 
##     -4.68, -5.7, -6.98, -8.01, -13.2, -16.3, -15.3, -14.6, -11.7, 
##     -11, -10.2, -5.72, -0.11, 4.85, 6.73, 8.71, 11.9, 17, 18.8, 
##     20.5, 22, 23.7, 25.1, 26.1, 27.8, 28.5, 28.1, 25.1, 24.2, 
##     23.7, 23.1, 20.2, 16.3, 14.9, 8.06, 7.01, 5.88, 0.6, -2.99, 
##     -2.65, -2.17, -1.66, -1, 1.16, 1.98, 2.77, 3.58, 5.37, 6.56, 
##     7.69, 8.89, 10.1, 13, 16.4, 18.3, 22.1, 24.1, 25.8, 27.6, 
##     29.2, 30.6, 33.2, 32.6, 30.9, 29.8, 23.9, 16.9, 15.7, 13.1, 
##     10.8, 9.54, 2.99, 1.56, -3.74, -6.96, -8.72, -9.55, -11, 
##     -9.09, -7.18, -3.71, -2.45, 0.1, 1.27, 2.41, 7.7, 10.6, 12, 
##     16.7, 18.4, 20.3, 22.1, 23.8, 25, 26.4, 28.3, 28.7, 29.2, 
##     30.7, 33.2, 31.5, 29.3, 25.7, 24.7, 18.6, 6.09, 4.65, 3.06, 
##     1.88, 0.95, -0.1, -0.25, 0.03, 0.28, 0.73, 0.93, 1.41, 2.81, 
##     3.59, 4.76, 8.41, 11.8, 16.9, 28.1, 30.1, 32.7, 33.4, 33.8, 
##     29.6, 28, 24.8, 22, 20.3, 18.6, 13.5, 11.8, 10.1, -1.03, 
##     -2.51, -5.33, -6.77, -10.9, -11.7, -12.6, -12.7, -12.6, -11.3, 
##     -10.7, -9.11, -8.16, -6, -3.56, -2.04, -0.47, 8.89, 10.9, 
##     15, 17.1, 20.9, 22.9, 24.9, 27.9, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27.4, 29.5, 
##     30.1, 30.7, 30.4, 29.7, 29.2, 28.6, 24.9, 22.3, 20.8, 19.2, 
##     14.7, 13.3, 12, 10.7, 9.63, 4.9, 2.31, 1.1, -1.3, 2.41, 1.34, 
##     0.8, 0.84, 0.99, 1.54, 1.92, 2.82, 3.37, 4.07, 4.84, 6.53, 
##     8.59, 9.72, 11.8, 13, 19.3, 20.7, 22.2, 23.3, 24, 24.7, 25, 
##     26.8, 28.5, 5.87, 9.82, 11.1, 16.6, 18.2, 20.8, 22.1, 25.2, 
##     31.2, 33.5, 34.3, 30.4, 29.4, 28.7, 28, 26.4, 25.1, 23.5, 
##     22.5, 14.1, 12.2, 8.02, 6.27, 2.36, 0.31, -1.92, -4.16, -11.6, 
##     -14.3, -19.2, -22.4, -24.2, -24.6, -25, -24.9, -24, -23.3, 
##     -22.4, -21.3, -20, -17, -5.08, 15.5, 17.4, 20.8, 23.7, 30, 
##     31.2, 32.4, 38.5, 40.8, 40.7, 39.9, 39.5, 39.1, 38.8, 38.9, 
##     35.3, 35.1, 34.9, 34.6, 33.7, 7.85, 7.96, 8.08, 8.16, 8.25, 
##     8.64, 8.41, 8.24, 8.11, 7.36, 7.23, 7.02, 6.98, 6.98, 7.02, 
##     7.01, 7.05, 7.15, 7.14, 7.17, 7.54, 7.24, 7.87, 9.57, 10.8, 
##     13.1, 15.4, 16.2, 19, 19.7, 20.2, 20.6, 20.8, 20.7, 21.3, 
##     21.3, 20.3, 19.8, 19.6, 18.8, 17.7, 15.2, 14, 13, 14.8, 16.2, 
##     17.8, 22.3, 23.7, 16, 21.8, 24.6, 25.9, 27, 28.7, 28.8, 27.5, 
##     26.5, 22.9, 22.1, 21.8, 22.9, 24.2, 24.6, 25.1, 26.5, 25.6, 
##     24.2, 16.5, 12.2, 10.4, 8.57, 3.92, 2.77, 1.49, 0.82, 0.61, 
##     44.9, 42.7, 31.8, 28.3, 8.37, 5.68, 2.83, -5.06, -6.89, -9.82, 
##     -10.6, -11.3, -11.8, -12.4, -12.6, -12.6, -11.6, -10.9, -10.2, 
##     -7.35, -5.24, -3.04, -31.9, -32, -32.4, -32.5, -32.6, -32.6, 
##     -32.6, -32.6, -32.7, -32.7, -32.7, -32.7, -32.7, -32.7, -32.7, 
##     -32.9, -33, -33.1, -33.1, -33.3, -33.3, -33.5, -33.5, -33.6, 
##     -33.7, -33.8, -33.9, -33.9, -34.1, -34.2, 23, 22.3, 21.9, 
##     20.9, 20.4, 19.3, 16.7, 14.6, 13.7, 12.9, 12.2, 11, 11.1, 
##     11.3, 11.6, 11.8, 12.4, 12.8, 14.7, 16.2, 17.7, 18.6, 18.6, 
##     18.3, 17.8, 16.7, 14.7, 14.8, 15, 15, 14.9, 13.7, 12.1, 12.5, 
##     13.1, 13.9, 14.1, 14.4, 14.6, 14.9, 16.4, 17.1, 18, 19, 21, 
##     23.5, 24, 23.5, 22.9, 22.3, 21.2, 21.2, 21.4, 21.5, 14.6, 
##     15.1, 18, 18.7, 19.3, 19.9, 21.2, 22.2, 22.7, 23, 23.1, 22.8, 
##     20.4, 19.8, 18.5, 18, 17.4, 17, 16.3, 15.8, 15.6, 8.9, 9.03, 
##     8.97, 9.02, 9.34, 9.66, 10.2, 10.5, 10.8, 10.9, 11, 11.2, 
##     12.1, 12.9, 13.3, 13.9, 15.1, 17.1, 18.3, 19.4, 21.6, 22.4, 
##     23.4, 23.6, 23.7, 23.3, 22.2, 24.6, 24.5, 24.3, 24.2, 24.2, 
##     24.1, 24, 23.9, 23.9, 23.6, 23.6, 23.6, 23.7, 23.8, 23.8, 
##     24, 24, 24, 24.2, 24.4, 22.1, 22.2, 22.6, 23.8, 23.9, 23.9, 
##     23.6, 23.5, 23.3, 23.3, 23.4, 23.5, 23.7, 23.9, 23.9, 24, 
##     24, 24.4, 24.2, 24.2, 24.4, 53.4, 35, 32.2, 29.1, 25.9, 23.5, 
##     21.7, 20.1, 18.4, 16.5, 12.8, 10.8, 8.48, 3.59, 0.92, -1.5, 
##     -3.77, -6.82, -7.77, -8.29, -8.05, -7.05, -6.93, -5.92, -5.57, 
##     -3.82, -2.67, 1.52, 3.36, 8.97, 3.55, 1.36, -9.21, -10.2, 
##     -11.1, -12.5, -13.6, -14.1, -12.8, -11.8, -10.5, -8.06, -4.83, 
##     2.34, 12.2, 15.9, 19.7, 66.5, 66.2, 65.6, 57.8, 51.9, 49.9, 
##     46.3, 41.1, 39.7, 23.1, 15.6, 14.3, 12, 10.9, 8.19, 7.45, 
##     5.62, 32.3, 34, 39.7, 42.1, 44.5, 40.9, 38.8, 37, 32.5, 28.8, 
##     23.7, 22.3, 22.2, 21.8, 21.6, 21.8, 23.4, 24.7, 27.5, 29.2, 
##     35.5, 28.6, 26.6, 23, 21.1, 21, 21.5, 22.2, 23.1, 23.3, 23.8, 
##     24.4, 25.4, 27.9, 29.3, 31.1, 33, 37, 43.7, 45.8, 51.8, 55.1, 
##     46.3, 38.2, 35.6, 28.1, 30.5, 34.4, 36.7, 39.2, 41.4, 45.2, 
##     48.2, 50.7, 51.7, 53.3, 53.4, 53, 45.2, 36.5, 34.2, 31.9, 
##     27.1, 22.4, 18, 11.4, 5.37, 52.7, 51.6, 50.3, 48.6, 45.3, 
##     43.5, 38.3, 36.6, 34.8, 25.3, 23.1, 21, 18.9, 14.1, 11.9, 
##     9.9, 7.93, 0.37, -3.13, -4.44, -2.73, 2.08, 4.09, 31.1, 25.8, 
##     24.3, 17.8, 18, 19.5, 20.1, 23.3, 25.3, 32.8, 35.4, 40.6, 
##     45.2, 50.8, 52.2, 53.6, 55.6, 55.9, 51.9, 47.3, 45.1, 43.1, 
##     36.9, 32.7, 21.1, 23.5, 26, 28.6, 31.6, 34.3, 43.4, 46.3, 
##     49.5, 52.1, 57.8, 59.6, 58.2, 56.4, 49.6, 47.3, 42.7, 38, 
##     35.6, 30.3, 24.6, 21.8, 0.51, -6.07, -9.25, -3.29, 7.18, 
##     10.2, 14, 22.1, 26.3, 39.2, 49.8, 54.3, 55.4, 55.7, 55.3, 
##     52.5, 47.4, 36.2, 32.3, 28.2, 21.3, 14.2, 12.6, 11.7, 11.5, 
##     13.5, 14.4, 15.7, -17.2, -15, -9.4, 4.51, 8.34, 12.6, 28.3, 
##     56.1, 72.2, 82.4, 85.9, 84.3, 80.1, 75.8, 71.4, 55.7, 45.6, 
##     38.1, 32.2, 29.7, 27.5, 26, 24.8, 23.9, 24.9, 25.9, -9.83, 
##     -12, -14.2, -16.3, -18.4, -20.1, -21.6, -24, -25.7, -26.3, 
##     -26.4, -26.6, -26.6, -26.4, -24.9, -24.5, -24.5, -24.3, -24.3, 
##     -24.3, -24.3, -24.4, -24.4, -24.4, -24.6, 17, 13.9, 12.1, 
##     4.82, 2.88, 1.28, 0.05, -1.93, -3.7, -4.03, -4.91, -5.38, 
##     -6.05, -5.93, -5.71, -5.42, -3.75, -3.01, -2.05, -1.05, 1.58, 
##     2.9, 9.01, 14.6, 22.1, 30.5, 41.8, 44.1, 47.9, 49.2, 50.5, 
##     52.7, 53.9, 53.8, 49.1, 46.9, 40.6, 39.8, 40.1, 46.7, 52, 
##     56, 56.9, 53.7, 51.7, 47.3, 43.7, 27, 24.5, 22.6, 21.1, 19.7, 
##     16.2, 13.4, 10.2, 6.24, 4.01, 2.11, 0.09, -0.88, -2.01, -2.01, 
##     -1.37, -1, -0.58, -0.2, 0.24, 2.33, 3.61, 5.12, 6.76, 10.6, 
##     17.1, 22.6, 24.7, 28.3, 29.9, 31.2, 34.7, 37.2, 38.2, 37.9, 
##     37.1, 35.2, 33.9, 33.2, 36.6, 37.5, 38, 38.3, 38.5, 38.5, 
##     38.7, 37.9, 36.1, 32.9, 29.1, 27.3, 25.6, 23.9, 19.6, 18.1, 
##     16.7, 15.6, 11.5, 7.03, 4.08, 1.65, 0.55, -1.33, -4, -5.48, 
##     -6.94, -7.34, -7.64, -8.17, -7.93, -7.12, -6.5, -5.09, -4.5, 
##     -2.19, -1.5, -0.83, -0.32, 2.22, 2.73, 3.39, 4.79, 7.34, 
##     8.52, 10.9, 6.39, 7.63, 15.6, 16.9, 17.9, 18.8, 20.5, 22.4, 
##     23.4, 25.9, 28, 29.4, 29.6, 29.6, 29.3, 28.7, 28.4, 28.1, 
##     27.4, 27.2, 26.7, 25.8, 16.5, 12.2, 10.5, 9.63, -1.83, 0.98, 
##     2.58, 4.02, 5.72, 11.1, 12.7, 20, 21.6, 26.3, 26.7, 27, 29.2, 
##     30.3, 30.6, 29.6, 29, 28.5, 28.1, 28.1, 27.4, 26.2, 23.2, 
##     20.5, 19.1, 17.7, 12.4, 11.2, 10, 9.16, 8.41, 7.47, 3.16, 
##     2.29, 0.35, -1.08, -1.89, -2.58, -3.36, -4.04, -4.73, -5.81, 
##     -6.3, -6.85, -7.03, -7.09, -7.13, -7.55, -7.42, -7.01, -6.44, 
##     -5.48, -1.88, 0.94, 3.71, 4.88, 8.26, 9.55, 11.9, 15.8, 19.6, 
##     23, 29, 31.8, 32.2, 32.5, 33.1, 33.7, 35.4, 37.6, 37.5, 36.3, 
##     35.2, 34, 31, 30, 29.1, 28, 26.7, 24.6, 21.3, 18.1, 16.4, 
##     9.85, 4.64, 2.42, 1.19, -0.22, -2.74, -2.53, -2.22, -1.07, 
##     -0.58, 1.93, 2.87, 4.81, 10.4, 13.5, 15, 16.6, 21.6, 23.3, 
##     26.8, 30.5, 32.3, 35.6, 37, 38, 38.9, 39.8, 44, 49, 48.9, 
##     48.7, 48.4, 47.6, 46.6, 45.4, 44.9, 42.3, 40.2, 30.9, 29.1, 
##     18.9, 17.1, 15.2, 11.7, 6.31, 5.22, 4.18, 1.95, 0.71, -1.93, 
##     -3.22, -2.96, -2.76, -2.25, 0.08, 1.08, 1.96, 3.2, 4.73, 
##     6.32, 9.52, 16.5, 22.1, 24.1, 26.3, 30.7, 34.8, 41.5, 44.9, 
##     47, 49.2, 51.5, 51.9, 51.4, 50.1, 48.5, 47, 37.5, 35.6, 33.3, 
##     31.1, 21.8, 20.1, 18.2, 14.1, 11, 7.73, 5.07, 2.48, -3.24, 
##     -3.95, -4.92, -4.83, -4.47, -3.46, -2.77, 0.86, 8.51, 10.3, 
##     12, 15.6, 19.2, 25.3, 34.6, 36.3, 40, 41.3, 42.7, 44.8, 46.8, 
##     47.6, 48.1, 49.1, 49.4, 49, 48.3, 47.9, 44.9, 43.7, 39.2, 
##     35.6, 34.1, 32.3, 30.6, 25.9, 20.1, 13.1, 11.7, 10.2, 8.87, 
##     7.51, 6.41, 1.37, -0.36, -2.73, -3.22, -3.66, -3.87, -3.94, 
##     -4.04, -3.87, 13.9, 14.5, 14.4, 14.6, 14.8, 15.5, 16.1, 19.8, 
##     20.3, 19.6, 19.3, 20, 20.4, 20.9, 20.8, 19.8, 16.7, 16.3, 
##     16, 15.8, 15.5, 15.1, 14.8, 14.9, 15.2, 15.7, 18.6, 20.1, 
##     20.6, 21, 21, 20.7, 20.2, 16.9, 16.3, 15.7, 14.9, 14.5, 14.1, 
##     13.8, 13.3, 13, 12.7, 12.6, 12.5, 12.6, 13.3, 13.8, 15.5, 
##     17.1, 17.3, 16.4, 15.5, 15.1, 15, 15, 15, 14.6, 14.4, 14.2, 
##     15.1, 16.2, 16.9, 17.5, 18.8, 19.5, 20.1, 20.7, 21.2, 23.2, 
##     23, 22.7, 22.5, 22.9, 22.1, 20.5, 20, 19.5, 19.3, 19.4, 19.4, 
##     19.4, 19.6, 19.6, 19.7, 19.9, 20.2, 20.8, 21.1, 22.6, 24.2, 
##     24.4, 24.4, 22.9, 20.4, 18.8, 18.3, 17.3, 15.6, 14.2, 13.4, 
##     12, 9.35, 9.46, 9.78, 10.2, 12.1, 12.7, 13.7, 14, 14.3, 14.2, 
##     14, 12.8, 12.9, 13, 13.5, 14, 14.3, 14.5, 14.6, 15.3, 15.2, 
##     14.1, 13.5, 13, 12.5, 11.8, 11.8, 12, 12.3, 12.7, 12.9, 13.6, 
##     13.7, 13.7, 13.7, 14, 14.1, 14.3, 14.5, 14.7, 14.7, 14.8, 
##     14.9, 14.5, 14.4, 14.8, 15.2, 15.3, 15.4, 15.2, 14.8, 14, 
##     13.7, 13.4, 13.3, 13, 11.9, 11.2, 8.68, 7.95, 7.32, 6.92, 
##     6.65, 7.48, 7.94, 8.39, 10.3, 11, 11.6, 12.1, 12.5, 13.4, 
##     13.4, 13.5, 13.5, 13.5, 13.3, 12, 12, 11.9, 11.8, 10.8, 10.1, 
##     10.5, 11.6, 11.9, 13.9, 13.8, 13.6, 12.9, 15, 13.5, 12.1, 
##     11.5, 11.1, 10.6, 9.6, 8.43, 7.14, 5.88, 4.34, 4.43, 5.46, 
##     5.96, 6.53, 7.09, 7.61, 8.11, 8.64, 12.6, 13.2, 13.2, 12.9, 
##     12.4, 11.8, 11.2, 7.81, 7.04, 6.97, 8.96, 9.98, 10.3, 10.9, 
##     11.2, 11.4, 14.6, 15, 15.7, 15.7, 14.5, 13, 12.4, 11.8, 9.12, 
##     8.86, 8.68, 8.4, 8.36, 8.44, 8.57, 8.71, 8.78, 8.82, 8.93, 
##     9.75, 10.2, 11.5, 12.3, 18.2, 19.8, 20.1, 20.3, 20.1, 19.2, 
##     17.3, 12.8, 11.8, 11.1, 10.3, 10.8, 15.5, 16, 16.1, 16.2, 
##     16.5, 18.3, 18.9, 19.3, 19.8, 20.3, 20.4, 19.4, 17.2, 15.7, 
##     13.2, 10.6, 10.3, 10.2, 9.98, 9.97, 10.4, 10.7, 11.1, 11.4, 
##     12.8, 14.9, 16.5, 17.3, 18, 20, 21.5, 22.3, 23.7, 24, 23, 
##     20.7, 19.3, 18, 15.9, 15.5, 16, 17, 17.6, 18, 18.4, 19.5, 
##     19.8, 20, 20.3, 20.5, 20.8, 21.2, 22, 22.2, 22.3, 22.2, 21.9, 
##     21.6, 20.2, 19.3, 17.8, 13.7, 11.9, 9.78, 7.53, 4.61, 3.52, 
##     3.28, 4.13, 6.17, 7.8, 10.8, 11.6, 12.8, 13.1, 13.2, 12.8, 
##     12.1, 11.7, 11.5, 10.9, 11, 11.4, 11.8, 13, 14, 14.3, 14.4, 
##     14.4, 14.3, 14.2, 14.2, 14.3, 14.5, 14.8, 15.1, 15.4, 15.7, 
##     4.5, 4.98, 5.25, 5.58, 6.23, 6.54, 7.01, 7.15, 7.7, 8.54, 
##     9.98, 10.4, 10.7, 10.9, 10.8, 10.1, 8.24, 8.4, 11.9, 12.9, 
##     13.5, 13.6, 13.6, 13.5, 13.4, 13.3, 13.4, 13.7, 13.8, 13.1, 
##     13, 12.7, 11, 10.1, 9.39, 8.69, 7.05, 6.25, 4.48, 2.9, 1.1, 
##     0.46, 0.47, 0.58, 0.78, 1.11, 1.55, 2.09, 4.15, 4.92, 7.2, 
##     7.73, 8.35, 8.79, 10.5, 11.1, 35.6, 37.2, 38.6, 40.1, 41.4, 
##     42.6, 45.2, 45.7, 45, 43.8, 42.2, 40.6, 38.8, 27.7, 23.6, 
##     21.8, 20, 18.1, 16.1, 14, 7.31, 4.94, 3.29, 2.41, 1.78, 1.5, 
##     1.16, 1.45, 1.6, 1.75, 1.98, 2.33, 2.44, 2.57, 2.66, 2.69, 
##     2.82, 2.78, 2.62, 2.62, 2.67, 2.69, 2.43, 2.1, 1.7, 1.56, 
##     1.45, 1.43, 1.46, 1.64, 1.94, 2.34, 2.72, 3.21, 3.73, 4.49, 
##     4.32, 2.3, 1.92, 1.34, 1.24, 1.63, 1.9, 2.13, 2.27, 2.51, 
##     2.59, 2.76, 2.97, 3.25, 3.77, 3.91, 4.27, 4.53, 4.62, 4.75, 
##     4.76, 4.79, 4.58, 4.18, 4.83, 4.67, 4.43, 3.89, 3.64, 3.42, 
##     3.19, 2.83, 2.79, 2.93, 3.01, 2.73, 2.46, 2.31, 2.14, 2.12, 
##     2.21, 2.45, 2.62, 2.8, 2.94, 3.07, 2.53, 2.32, 2.09, 1.77, 
##     1.07, 0.91, 0.92, 0.6, 0.44, -0.02, -0.75, -1.2, -1.63, -2.64, 
##     -2.67, -2.7, -2.77, -3, -3, -3.02, -3.05, -2.56, -2.2, -1.68, 
##     -1.02, -0.36, 1.47, 2.48, 8.62, 13.4, 15, 16.5, 18, 21.2, 
##     24.6, 26.2, 27.7, 29, 30.2, 31.1, 31.8, 32.9, 33.4, 33.9, 
##     34.8, 35.8, 36.3, 36.9, 37.9, 38.6, 38.3, 37.7, 37.1, 36.1, 
##     35.7, 34.6, 32.6, 28.9, 27.6, 24.7, 22.2, 19.2, 15.8, 7.54, 
##     5.65, 4.23, 2.72, -0.13, -1.16, -2.19, -4.07, -4.89, -5.6, 
##     -6.17, -6.63, -6.87, -6.96, -6.75, -6.42, 1.09, 5.16, 8.84, 
##     10.7, 12.8, 16.6, 27.5, 35, 37.1, 39.4, 41.3, 42.8, 46.8, 
##     46.7, 47, 47.8, 48, 46.5, 45.3, 41.8, 39.6, 35.5, 33.1, 29, 
##     22.3, 2.28, 0.42, -0.75, -1.2, -1.35, -0.15, 2.2, 5.5, 15, 
##     17.3, 21.9, 24, 26.4, 34.1, 44.4, 46.2, 48.8, 51.8, 52, 52.5, 
##     54.5, 54.9, 55.1, 55.4, 53.1, 51, 47.7, 44.3, 36.2, 34, 31.8, 
##     29.9, 25.4, 23.4, 21.3, 19.1, 12.3, 10.4, 5.18, 3.92, 1.95, 
##     1.73, 1.75, 2.61, 3.46, 4.61, 6.11, 7.88, 13.7, 16, 18.4, 
##     20.8, 23.5, 26.2, 31.4, 35.6, 37.5, 50.6, 54.8, 54.2, 54, 
##     54.6, 53.4, 45.8, 43.6, 41.7, 31, 28.3, 18.4, 16.2, 9.48, 
##     -1.92, -2.95, -3.42, -3.55, -3.52, -2.75, -0.5, 5.13, 9.87, 
##     15, 23.9, 27.1, 30, 35.1, 37.6, 39.9, 41.9, 48.2, 49.1, 50.2, 
##     50.8, 51.7, 52.1, 52.4, 53.1, 53.2, 53.3, 53.1, 52.9, 52.2, 
##     51.5, 48.1, 37.1, 31.3, 25.1, 22.1, 19, 15.7, 12.2, 8.84, 
##     3.92, -2.45, -3.92, -5.37, -6.26, -7.28, -7.65, -7.83, -6.74, 
##     -4.43, 1.95, 7.22, 13.1, 16, 21.5, -3.15, -3.88, -4.36, -4.56, 
##     -4.23, -3.64, -1.46, 0.12, 1.69, 3.71, 7.75, 9.85, 12.1, 
##     19.2, 24.1, 28.9, 40.5, 45.6, 47.4, 45.5, 45.5, 45.5, 45.9, 
##     46.2, 47.6, 48.4, 49.3, 50.8, 51.7, 51.6, 51.4, 49, 47.9, 
##     46.9, 44.1, 42.7, 34.4, 29.4, 26.8, 13.7, 9.39, 7.58, 6.23, 
##     4.93, 3.57, 2.58, 1.01, 0.44, 2.14, 8.83, 13.2, 15.6, 20.4, 
##     24.8, 29.3, 33.8, 35.9, 40.3, 44, 45.3, 46.2, 46.7, 46.8, 
##     46.5, 46.2, 45.6, 45.1, 44.5, 44.1, 44.5, 45.2, 46.1, 47.1, 
##     49.2, 50.3, 52.3, 53.1, 54.2, 51.9, 50.4, 48.6, 43.9, 41.8, 
##     37.6, 35.2, 33.1, 31.2, 27, 23.1, 21.2, 19.3, 17.5, 6.42, 
##     5.73, 5.48, 5.45, 5.66, 6.2, 8.25, 9.67, 17.9, 20.4, 25.6, 
##     28.1, 30.7, 46, 48.4, 49.7, 50.3, 7.15, 7.18, 7.2, 7.15, 
##     6.91, 6.91, 6.78, 6.78, 6.79, 6.81, 6.86, 6.93, 6.9, 6.95, 
##     6.93, 6.88, 7.04, 6.72, 6.64, 6.63, 6.92, 7.05, 7.16, 7.26, 
##     7.22, 6.92, 6.66, 6.28, 6.13, 6.41, 8.44, 8.7, 9.46, 11.3, 
##     11.1, 11.1, 11.6, 12.1, 13.3, 14.1, 14.7, 13.8, 13.1, 12.2, 
##     9.84, 7.84, 6.33, 4, 2.86, 2.23, 1.21, -0.4, -1.01, -2.3, 
##     -2.68, -2.77, -2.78, -3.46, -3.32, -3.21, -2.94, -2.61, -2.14, 
##     -1.54, -0.69, 0.43, 1.42, 2.2, 3.03, 5.65, 7.15, 7.52, 7.81, 
##     8.17, 8.86, 9.71, 10.8, 11.7, 14.2, 17.4, 19.5, 19.4, 18.7, 
##     18.5, 18.3, 18.4, 18.1, 13.5, 11.5, 8.83, 3.5, -3.93, -4.82, 
##     -5.58, -6.28, -7.59, -8.92, -9.08, -9.29, -9.1, -8.85, -7.26, 
##     -6.22, -3.77, 2.12, 5.42, 12, 13.5, 16.2, 17.4, 18.5, 19.6, 
##     23.8, 26.4, 26.9, 26.7, 26.4, 26.3, 26, 25.9, 25.4, 22.3, 
##     20.6, 16.5, 13.9, 18.9, 21.2, 26.5, 27.7, 30.2, 29.4, 29.2, 
##     28.6, 27.4, 26.5, 25.7, 22.7, 18.8, 17.5, 15.6, 12.5, 6.22, 
##     0.79, -2.38, -4.08, -14.2, -14.8, -15.4, -17.4, -17.9, -18.2, 
##     -18, -17.7, -17.5, -16.2, -15, -13.8, -12.6, -11.1, -5.4, 
##     -3.52, -1.31, 3.59, 13.9, 16.4, 26.5, 28.4, 30.1, 33.3, 34.3, 
##     34.7, 32.4, 31, 16.2, 5.43, 3.89, 1.58, -1.73, -3.82, -5.2, 
##     -13.3, -15, -17.3, -18.7, -20.4, -20.7, -20.8, -21, -20.4, 
##     -19.7, -18.9, -17.8, -16.7, 2.59, 5.83, 8.73, 11.6, 14.4, 
##     17.3, 19.8, 24.1, 26, 31.1, 32.4, 33.5, 35, 37.5, 37.6, 37.9, 
##     37.5, 32.2, 30.8, 23.2, 21.7, 19, 14.4, 8.1, 5.99, 4.29, 
##     2.58, -5.61, -10.1, -11, -12.7, -13.5, -14.5, -14.4, -14.1, 
##     -13, -10.7, -8.89, 0.07, 12.9, 23.4, 28.1, 29.5, 31.5, 33, 
##     34.6, 36.1, 37.7, 38.9, 39.9, 40.9, 40.3, 39.6, 38.4, 34, 
##     32.3, 24.9, 22.4, 19.4, 16.1, 1.31, -0.67, -4.38, -8.1, -13.2, 
##     -16.9, -17, -15.9, -15.1, -13.2, -4.9, -2.57, 12.3, 21.3, 
##     24, 28.5, 36.8, 40.1, 42, 41.1, 34.4, 29.7, 27.5, 13.7, 10.7, 
##     7.04, 4.67, 1.95, -13.9, -15.3, -16.5, -19.5, -20, -20.3, 
##     -20.3, -19.3, -18.5, -12.2, -9.99, -4.28, 1.64, 10.7, 17.4, 
##     28.5, 29.2, 36.1, 38.5, 39, 38.8, 38.8, 36.9, 33, 31.4, 28.7, 
##     25.4, 22.1, 19.6, 11.4, 7.75, 4.9, 1.6, -2.16, -6.95, -8.36, 
##     -13.7, -14.8, -19.4, -21.9, -20.9, -20, -17.4, -15.5, -10.5, 
##     -8.06, -5.13, -2.54, 0.36, 3.52, 13.1, 15.9, 25.4, 28.7, 
##     30, 34.7, 38.9, 40.6, 40.2, 38.8, 38, 36.1, 34.5, 32.3, 28.6, 
##     27, 19, 15, 3.27, 0.01, -2.27, -2.27, -3.86, -3.86, -6.78, 
##     -8.57, -20.1, -20.4, -20.6, -20.6, -20.5, -20.1, -19.8, -19.5, 
##     -19.1, -18.8, -18.5, -17.8, -17.7, -17.8, -17.8, -17.9, -17.9, 
##     -17.8, -17.8, -17.8, -17.8, -17.7, -17.5, -17.4, -17.4, -17.4, 
##     -17.4, -17.3, -17.2, -17.1, -16.8, -16.9, -16.9, -16.6, -16.5, 
##     -16.5, -16.4, -16.4, -16.3, -16.3, -16.2, -16.2, -16.2, -16.2, 
##     -16.1, -16, -16, -15.8, -15.7, -15.5, -15.2, -14.8, -12.2, 
##     -9.89, -8.46, -3.94, 0.91, 3.57, 6.63, 6.63, 6.63, 6.63, 
##     9.94, 13.3, 13.3, 17.1, 20.8, 24.4, 33.4, 38.6, 41.3, 42.1, 
##     42.6, 42.8, 42.1, 38.4, 39, 41.4, 42.7, 45, 50.1, 48, 39.8, 
##     35, 28.6, 13.2, 8.51, 4.74, -3.26, -8.44, -12.4, -13.5, -15.2, 
##     -16.3, -17, -17.3, -15.9, -12.6, -10.3, -7.63, -4.84, -1.13, 
##     15.7, 24.5, 28.9, 35.4, 40.6, 41.7, 42.7, 42.9, 42.7, 42.4, 
##     32.9, 33.3, 34.3, 39.6, 43.2, 44.8, 45.3, 40.8, 9.58, -0.97, 
##     -8.15, -10.5, -12.1, -15, -15.2, -15.4, -15.9, -15.8, -14.9, 
##     -14.8, -14.2, -13.4, -12.6, -11.9, -11.5, -11.1, -11.1, -11.1, 
##     -10.9, -10.6, -10.5, -10.5, -10.5, -10.5, -10.4, -10.2, -9.99, 
##     -9.83, -9.77, -9.16, -9.06, -9.07, -9.05, -8.99, -8.89, -8.79, 
##     -8.76, -8.76, -8.76, -8.76, -8.72, -8.61, -8.42, -7.92, -7.81, 
##     -7.64, -7.59, -7.7, -7.6, -7.56, -7.51, -7.46, -7.26, -7.05, 
##     -6.77, -6.5, -6.13, -5.8, -5.54, -5.29, -4.87, -4.35, -3.77, 
##     -3.22, -2.61, -1.77, 1.44, 2.37, 3.52, 11.2, 13.6, 15, 16.7, 
##     17.5, 16.7, 16, 17, 17.6, 17.6, 18.1, 19.3, 17, 16.2, 14.6, 
##     16.1, 16.7, 17.4, 17.9, 17.7, 17.9, 18.1, 18, 18, 17.9, 17.9, 
##     18, 18.1, 18.3, 18.3, 18.5, 18.7, 18.7, 18.5, 18.4, 18.4, 
##     18.4, 18.4, 18.4, 18.5, 18.7, 18.8, 18.8, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 31.5, 32.3, 32.8, 32.5, 31.2, 29.6, 26.2, 25, 
##     23.1, 21.9, 19, 16.9, 13.8, 10.2, 7.15, 3.04, 2.04, 1.2, 
##     20.1, 19, 17.5, 16.3, 9.38, 3.66, 2.74, 0.76, -0.3, -1.5, 
##     -2.72, -5.04, -7.47, -10.8, -11.7, -12.3, -12.6, -12.5, -12.2, 
##     -11.6, -10.9, -8.96, -5.92, -3.55, 2.6, 4.36, 14.7, 19.3, 
##     23.5, 33.1, 33.6, 34, 35.1, 35, 34.9, 33.6, 30.3, 29.5, 24.5, 
##     23.3, 20.2, 18.4, 16.3, 14.4, 12.2, 7.93, 6.18, 0.29, -0.64, 
##     -1.63, -1.13, -0.44, 0.21, 0.82, 1.41, 1.97, 2.66, 3.38, 
##     4.19, 4.87, 5.57, 6.22, 7.8, 10.8, 12, 15.1, 16.7, 18.4, 
##     20.3, 22.1, 30.5, 32, 34.2, 34.2, 28.1, 26.8, 20.1, 18, 16.2, 
##     12.1, 10.4, 8.37, 4.77, 1.94, -1.49, -2.35, -5.19, -7.54, 
##     -9.19, -12.2, -13.7, -14, -14.2, -14.4, -14, -13, -11.7, 
##     -11.1, -10.5, -9.8, -9.06, -8.37, -7.39, -6.46, -5.44, -3.43, 
##     -2.27, 1.9, 3.5, 5.15, 7.02, 9.03, 24.5, 25.8, 26.9, 28, 
##     29, 31.4, 32, 31.8, 30.6, 29.5, 28.2, 26.8, 25.3, 23.7, 19.8, 
##     17.5, 16.3, 10.6, 7.75, 6.35, 3.96, 2.8, -2.37, -2.71, -2.43, 
##     6.23, 9.98, 10.7, 11.4, 12.9, 13.8, 15.8, 16.8, 20.1, 21.1, 
##     23.2, 24.2, 25.5, 27.1, 28.5, 30.5, 34.5, 36.4, 38, 39.5, 
##     40.7, 42.2, 41.7, 41.3, 40.6, 40, 38.9, 38.3, 36.3, 35.7, 
##     33.5, 32.3, 32.5, 33, 21.4, 16.4, 15.8, 14.6, 13.6, 13.1, 
##     13.5, 13.9, 14.5, 15.3, 16.2, 17.2, 19.4, 20.7, 24.8, 29.4, 
##     31, 32.4, 36.4, 37, 37.4, 40.4, 40.9, 41.1, 44.6, 45.1, 44.9, 
##     44.3, 43.8, 42.8, 41, 39.9, 39.1, 38.3, 32.3, 30.1, 29, 28, 
##     27, 26, 25, 23.9, 22.6, 21.2, 15.6, 14.4, 13.2, 12.4, 11.5, 
##     12, 13.5, 14.5, 15.8, 18.3, 22.7, 24.3, 27.9, 31.7, 42.1, 
##     44.3, 45, 45.6, 46, 46.4, 46.5, 46.8, 46.7, 46.5, 45.5, 45, 
##     44, 43.5, 42.6, 41.8, 41.6, 41.8, 43.1, 43.5, 44, 44.6, 46.1, 
##     46.6, 48, 48.2, 48.2, 47.9, 47.2, 46.7, 45.5, 42.9, 40.7, 
##     38.8, 32.6, 31.2, 25.8, 22.9, 19.8, 18.1, 16.6, 13.8, 12.6, 
##     11.6, 10.2, 9.68, 8.95, 8.67, 8.31, 7.74, 7.62, 9.44, 11.8, 
##     13.2, 14.5, 17.7, 22.9, 26.5, 30, 31.8, 33.3, 35, 36.5, 39.3, 
##     41.1, 41.9, 43.3, 43.4, 43, 41.5, 40.8, 40.1, 37.9, 37.2, 
##     36.2, 35.6, 35.1, 33.8, 34.5, 35, 35.5, 36.1, 37.4, 38.1, 
##     39.2, 40.8, 41.9, 45.3, 45.3, 45.4, 45.1, 44.1, 42.4, 37.5, 
##     36.1, 35.2, 33.7, 31.3, 28.2, 15.2, 13.7, 13, 12.8, 42.8, 
##     42.2, 41.5, 40.9, 40.4, 38.9, 38.3, 36.5, 34.9, 34.2, 33.6, 
##     32.6, 32.5, 32.5, 36.2, 38.4, 40.7, 42.5, 48.5, 49.1, 47.5, 
##     44.8, 44, 45.8, 46.7, 48, 48.4, 47.2, 46.7, 46.3, 45.5, 44.6, 
##     44.1, 43.6, 41.2, 40.6, 40.1, 39.5, 39.3, 39.3, 39.4, 39.6, 
##     40.2, 40.8, 41.1, 42.7, 43.2, 43.6, 44.1, 46.2, 50.4, 50.4, 
##     50.2, 50.2, 50, 49.9, 49.7, 47.8, 45.2, 43.7, 41.7, 38.4, 
##     36.8, 33.1, 29.7, 25.6, 24.4, 22, 20.9, 18.2, 17.4, 16.5, 
##     16.3, 16.4, 16.7, 17.9, 18.7, 19.5, 22.5, 42.3, 41.2, 39.5, 
##     36.6, 34.5, 33.5, 32.6, 29.5, 28.3, 25.9, 20.3, 19.3, 19.6, 
##     20.2, 21.8, 22.8, 23.9, 27.9, 41.8, 13.1, 14.2, 15.3, 16.9, 
##     21.1, 26, 27.7, 33.7, 39.2, 40.6, 42.1, 43.3, 44.2, 45, 46, 
##     46.6, 46.6, 46.5, 46.4, 46.1, 45.9, 45.6, 44.9, 43.3, 39.2, 
##     38.1, 38.2, 38.3, 38, 37.6, 37.6, 37.7, 37.9, 38, 38.8, 40, 
##     41.7, 42.1, 43.1, 43.4, 43.8, 44.4, 35.9, 36.5, 36.8, 37.1, 
##     37.5, 38, 39.3, 40.8, 41, 41.1, 40.8, 40.7, 40.5, 40.1, 39.3, 
##     38.8, 35.3, 32.8, 31.9, 28.9, 26.2, 23.2, 22.3, -1.13, -0.91, 
##     -0.5, 0.09, 1.69, 2.7, 3.59, 4.27, 5.07, 8.45, 8.88, 9.31, 
##     9.99, 10.7, 14.4, 16.3, 20.3, 22.2, 24.7, 25.5, 26, 25.7, 
##     25, 24.4, 22.1, 21.2, 19.5, 19.8, 20.2, 20.4, 20, 20, 20, 
##     20.1, 20.2, 20.2, 20.2, 19.8, 19.8, 19.8, 19.8, 19.9, 19.8, 
##     19.7, 19.5, 18.3, 17.7, -7.52, -7.46, -7.47, -7.47, -7.63, 
##     -7.68, -7.69, -7.73, -7.84, -7.95, -7.98, -8.01, -7.97, -8.03, 
##     -8.11, -8.13, -8.17, -8.17, -8.04, -7.94, 1.99, -0.72, -3.25, 
##     -4.46, -5.69, -8.66, -10.2, -11.2, -12, -12.5, -12.9, -11.8, 
##     -5.62, -2.61, 1.05, 4.96, 6.76, 14.2, 15.6, 17.3, 16.1, 15.1, 
##     14.5, 13.1, 12.8, 11.7, 11, 10.5, 9.69, 8.22, 7.49, 5.02, 
##     4.53, 3.91, 3.69, 3.71, 3.93, 4.07, 11.7, 10.4, 9.22, 8.56, 
##     7.78, 6.2, 6.34, 7.02, 7.58, 8.82, 9.35, 10.1, 11.2, 11.9, 
##     13.3, 13.9, 14.5, 14.9, 15.3, 15.8, 15.9, 16, 16.1, 16.2, 
##     16.1, 15.9, 13, 12.6, 11.3, 10.6, 9.04, 8.37, 7.86, 7.85, 
##     8.88, 9.48, 10.1, 10.6, 11.2, 11.4, 11.4, 11.4, 11.9, 14.8, 
##     15.3, 16.4, 16.6, 16.7, 16.7, 16.5, 16.4, 16.2, 14.8, 14.1, 
##     12.9, 43.5, 43.5, 41.5, 41, 39.6, 36.8, 30.1, 25.6, 21.8, 
##     14.9, 9.28, 6.35, 4.63, 3.62, 0.44, -0.42, -1.14, -2.5, -2.58, 
##     -2.68, -2.72, -3.09, -4.71, -6.23, -8.97, -9.56, -9.33, -9.23, 
##     -9.26, -9.36, -9.34, -9.21, -8.03, -4.31, -3.22, -1.86, 1.53, 
##     4.86, 6.55, 8.18, 9.52, 11.1, 14.5, 22.4, 24.4, 26.4, 31.4, 
##     35, 35.9, 38.5, 39.7, 41, 8.8, 6.83, 4.22, 2.67, 0.62, -0.83, 
##     -1.34, -2.09, -2.58, -5.44, -6.35, -7.19, -7.74, -8.84, -9.68, 
##     -10.3, -10.6, -10.6, -10.6, -10.4, -10.2, -9.95, -4.44, 11.1, 
##     9.89, 7.6, 5.58, 2.65, 1.8, 0.81, -1.2, -2.06, -2.88, -4.21, 
##     -5, -5.17, -6.02, -7.1, -7.17, -7.13, -6.73, -5.88, -2.2, 
##     3.71, 5.45, 15.4, 16.3, 19, 21.1, 22.2, 25.3, 28.4, 29.4, 
##     29.4, 28.8, 29.2, 29.4, 28.8, 28.4, 25.8, 24.4, 21.2, 20, 
##     18.6, 14.6, 24.4, 30.4, 46.4, 48.7, 49.7, 50.2, 50.2, 50.5, 
##     51.2, 52, 52.8, 53.1, 51.9, 50.3, 48.1, 45.6, 42.8, 36.9, 
##     27.1, 22.2, 19.8, 17.5, 15.5, 13.3, 11.3, 9.48, 7.63, 5.74, 
##     2.5, 0.99, -1.73, -1.87, -1.09, -0.98, -0.9, -1.12, -1.27, 
##     -1.35, -1.18, -1.01, -0.8, -0.63, -0.41, -0.41, -0.76, -1.26, 
##     -1.4, -1.84, -2.06, -2.4, -2.49, -2.63, 29.6, 31.2, 33.3, 
##     45.6, 47.5, 50.4, 51.5, 53.6, 54.7, 55.2, 53.3, 50.5, 47.9, 
##     46.8, 45.4, 43.8, 42.3, 41.4, 39, 38.6, 38.9, 41.2, 42.4, 
##     46.5, 46.6, 46.2, 44.8, 44.7, 44.7, 44.7, 44.6, 43.9, 34.3, 
##     29.2, 27.3, 26.6, 28.2, 29.2, 30.2, 31.1, 35.4, 37.2, 39.3, 
##     41.5, 45.7, 47.6, 52.6, 57.9, 58.8, 54.9, 51.7, 49.8, 40.4, 
##     39.1, 37.9, 37.1, 36.5, 36.6, 37.9, 38.9, 40.1, 43.3, 45, 
##     46.6, 55.2, 55.9, 56.4, 55.8, 54.9, 54.1, 53.3, 52.5, 39.9, 
##     41.1, 42.6, 47.1, 48.7, 50.1, 51.4, 55.3, 55.6, 54.7, 51.6, 
##     50.6, 49.5, 33.2, 32.3, 35.1, 36.2, 37.1, 38.1, 41, 46.5, 
##     48.6, 56.1, 57.5, 60.6, 61, 61.1, 60.1, 59.5, 58.8, 57.6, 
##     54, 47.5, 45.2, 41.1, 39.5, 36.6, 35.7, 35.1, 34.7, 35, 35.6, 
##     37.5, 38.9, 40.6, 42.3, 44.1, 47.8, 51.1, 54.8, 54.9, 52.7, 
##     49.5, 48.5, 47.2, 45.7, 41.9, 37.6, 35.3, 29.6, 28.5, 28.9, 
##     31.7, 32.2, 33.7, 34.7, 35.9, 39.2, 41.2, 44.9, 48.7, 50.5, 
##     54, 55.7, -1.84, 2.26, 4.01, 7.7, 9.53, 13.9, 16, 22.2, 24.3, 
##     26.5, 28.8, 30.7, 33, 35.2, 39.1, 44.4, 48.2, 49.4, 50.9, 
##     53.9, 54, 47.7, 44.9, 42.1, 37.8, 33.5, 29.4, 27.6, 19.5, 
##     15.8, 14, 12.3, 10.9, 6.65, 3.61, 2.14, 1.45, 0.84, -0.34, 
##     -1.09, -1.32, -1.46, -1.57, -1.6, -1.48, -0.52, 1.41, 4.14, 
##     5.06, 7.44, 8.93, 13.8, 17.7, 21.6, 29.5, 33.6, 37.8, 41.7, 
##     23.8, 18.3, 16.4, 13.2, 9.75, 7.17, 5.78, 3.36, 1.41, 0.58, 
##     -1.48, -2.34, -2.5, -2.63, -2.74, -2.75, -2.21, -2.01, -0.91, 
##     -0.31, 0.47, 1.38, 2.02, 3.12, 5.39, 19.6, 28.3, 38.8, 45.3, 
##     47.4, 48.5, 49.2, 49.4, 49.4, 49.3, 48.6, 48.5, 48.1, 48.2, 
##     49, 49.5, 49.9, 50.3, 51.2, 51.9, 52, 50.6, 47.2, 45.9, 44.8, 
##     44.2, 44.4, 44.8, 45.4, 47.6, 49.6, 54, 56.8, 57.6, 57.8, 
##     57.5, 56.3, 54.7, 46.8, 44.3, 44, 43.7, 43.7, 43.7, 43.1, 
##     42.7, 42.4, 42.4, 42.5, 42.8, 47.9, 59.8, 60.3, 56.8, 55.5, 
##     53.9, 52.5, 49.4, 44, 41.5, 39.4, 38.1, 36.4, 35.9, 35.5, 
##     35.1, 35, 35.1, 35.4, 36, 38, 38.9, 40, 42.6, 44, 45.3, 48.7, 
##     51.6, 52.7, 53.7, 53.1, 52.2, 51, 46.6, 45.1, 42.1, 40.7, 
##     39.4, 44.7, 48, 53.7, 59.1, 59.9, 60.4, 60.5, 56.9, 51.5, 
##     49.5, 45.9, 40.2, 40.2, 40.1, 39.8, 39.4, 39, 39.7, 40.1, 
##     40.5, 41.1, 42.7, 45, 46.4, 47.8, 49.3, 50.8, 52.2, 53.4, 
##     55.1, 55.5, 53.3, 51.7, 46.1, 44, 36.4, 37.9, 41, 42.7, 46, 
##     47.7, 49.2, 51.9, 53, 53.8, 54.4, 54.6, 54.3, 53.8, 52.4, 
##     50, 48.5, 47.2, 45.6, 44.2, 42.8, 41.1, 41.6, 42.4, 48.7, 
##     52.8, 54.6, 56.6, 58.3, 61.2, 60.1, 59, 55.7, 52.2, 51, 49.4, 
##     47.9, 43.7, 41.7, 39.2, 37.7, 37.7, 38.1, 39, 39.1, 39.2, 
##     39.2, 39.3, 39.5, 39.6, 40.7, 43.2, 46.4, 48.6, 49.6, 50.6, 
##     52.5, 54.5, 54.7, 54.6, 40.9, 40.4, 40.1, 39.9, 39.8, 39.7, 
##     39.6, 39.6, 39.9, 40.1, 40.3, 42, 43.3, 44.1, 47.5, 49.9, 
##     53.1, 54.4, 54.1, 53, 52.3, 50.3, 49, 47.7, 44.5, 36.6, 37, 
##     38.6, 39.4, 43.2, 46.2, 50.3, 52.2, 56.1, 59, 60, 60.4, 60.5, 
##     60.3, 58.2, 57.3, 54.3, 52.8, 51.5, 49, 48.1, 47.1, 47, 46.7, 
##     46.4, 45.5, 44.4, 44, 43.4, 42.6, 43, 44.9, 46.9, 49.1, 50.2, 
##     51.2, 52.2, 53, 53.8, 54.8, 55.3, 55, 47.9, 41.9, 40.2, 38.4, 
##     36.7, 37.6, 39.6, 40.7, 42, 43.2, 44.7, 46.4, 50, 51.8, 59.4, 
##     58.1, 50.8, 42.2, 40.7, 40.2, 39.8, 39.3, 39.5, 40.1, 41.1, 
##     41.9, 47.2, 49.2, 52.2, 53.9, 54.5, 54.7, 54.5, 54, 53.1, 
##     50.5, 49.2, 47.9, 46.4, 45.2, 41.1, 40.1, 39.6, 40.5, 49.3, 
##     51.2, 54.8, 56.3, 59.4, 52.6, 51.8, 51, 48, 46.6, 38.8, 37.5, 
##     31.4, 30, 26.4, 22.8, 19.1, 15.7, 12.1, 11.9, 13.3, 57.3, 
##     55.5, 54.4, 47.3, 42.7, 37.4, 33.7, 29.5, 25.7, 18.9, 17.9, 
##     17.1, 16.3, 16.2, 16.9, 17.6, 26.2, 27.8, 29.3, 31, 32.4, 
##     35.7, 37.3, 39, 45.4, 50.8, 56.5, 57.4, 58.7, 59.3, 59.7, 
##     60, 60.5, 60.1, 59.6, 59.1, 57.8, 56.3, 55.6, 55.1, 55.2, 
##     56.5, 59.3, 60.6, 61.2, 61.5, 61.6, 59, 57.8, 56.3, 55, 53.6, 
##     52.2, 49.2, 47.6, 46.3, 43.2, 39.9, 36.4, 32.8, 31, 27.7, 
##     26.1, 24.5, 19.6, 18.2, 16.8, 14.3, 12.9, 13.5, 16.4, 18.4, 
##     19.3, 21.8, 23.4, 26.1, 30, 31.7, 35.5, 41.8, 45.7, 47.9, 
##     49.8, 51.6, 61.2, 63.3, 65, 64.9, 64.4, 63.9, 63.8, 58.6, 
##     64.6, 66.7, 67.2, 67.6, 67.8, 66.7, 66.4, 65.2, 64.2, 63.3, 
##     62.8, 61.6, 58.5, 58.1, 58.3, 60.3, 61.1, 62.7, 63.5, 64.4, 
##     66.4, 67.3, 68.1, 69.5, 69.8, 68.7, 63.6, 60.2, 58.4, 56.7, 
##     54.9, 51.8, 50.1, 48.5, 47.3, 40.7, 39.2, 31.1, 27.7, 24.2, 
##     18.3, 18.2, 18.2, 22.1, 23, 26.5, 27.9, 30.7, 36.2, 40.3, 
##     53.4, 55.7, 65.3, 67, 68.7, 71.8, 73.1, 75.5, 73, 71.9, 70.9, 
##     69.6, 68.6, 67.5, 65.8, 65.1, 64.5, 63.4, 62.7, 62.8, 63.1, 
##     64.3, 67, 67.6, 68.6, 70.9, 72.9, 75.8, 75.8, 66.4, 64.3, 
##     62.1, 60.2, 58.1, 56.1, 54, 52.5, 50.8, 45.5, 43.9, 41.9, 
##     40.2, 38.2, 30.2, 26.4, 22.9, 20.4, 18.9, 20.2, 20.9, 23.8, 
##     24.9, 26.1, 27.3, 30.1, 34.1, 56.1, 58.7, 68.2, 73.1, 74.6, 
##     76.6, 77.5, 77.5, 74, 70.8, 69.6, 65.9, 65, 61.7, 60.4, 60.5, 
##     61, 61.5, 62.1, 65.1, 69.5, 73, 74.6, 77.8, 79.1, 78.6, 76.6, 
##     33.3, 36.9, 46, 48.6, 63.1, 68.4, 82, 82, 81.2, 79.5, 70.5, 
##     66.9, 62.4, 61.9, 61.5, 61.8, 62.5, 63, 63.5, 64.1, 64.7, 
##     67.1, 69.3, 70.3, 73.8, 87.2, 87.4, 59.8, 57.3, 55.2, 50.2, 
##     48.1, 47.1, 43.2, 41.8, 40.5, 37.8, 34.9, 33.3, 31.8, 30.3, 
##     27.5, 24.8, 23, 22.3, 21.9, 26.7, 38.1, 42.6, 45.4, 50.8, 
##     53.5, 68.1, 70.5, 75, 77.8, 80.3, 82.3, 87.9, 86.8, 84.1, 
##     12.2, 12.2, 12.1, 12.1, 12, 10.3, 9.81, 9.47, 9.68, 11.6, 
##     12.3, 13.5, 13.8, 13.4, 13, 12.6, 13, 13.2, 13.9, 13.7, 13.5, 
##     13.3, 13.2, 11.9, 11, 10.4, 10, 9.78, 9.6, 9.44, 9.34, 9.14, 
##     8.92, 7.27, 5.71, 2.99, 2.65, 2.55, 3.27, 3.8, 4.46, 5.7, 
##     6.11, 6.81, 6.95, 7.14, 7.31, 7.63, 9.01, 9.74, 13, 13.3, 
##     13.2, 12.6, 12.5, 12.2, 12.4, 12.7, 14.8, 15.5, 16.2, 16.8, 
##     17.2, 17.5, 17.7, 17.6, 17.3, 15.8, 14.8, 14.5, 14, 12.1, 
##     12.2, 12.4, 12.4, 12.4, 12.1, 11.4, 10.6, 8.8, 7.95, 6.54, 
##     5.98, 5.57, 5.06, 4.97, 4.24, 2.94, 2.42, 2.01, 1.6, 1.29, 
##     1.05, 0.7, 0.63, 0.6, 0.66, 0.82, 1.13, 2.53, 3.01, 3.5, 
##     5.14, 6.83, 7.73, 16.4, 16.5, 16.7, 16.8, 16.6, 16.2, 15.9, 
##     14.9, 14.1, 7.8, 6.55, 5.36, 2.65, 2.41, 3.21, 3.81, 5.23, 
##     6.08, 6.92, 9.2, 9.87, 11, 11.7, 13.6, 14.1, 14.6, 16.1, 
##     16.4, 16.5, 16.3, 16.2, 16, 15.8, 15.6, 15.3, 13.7, 13.2, 
##     12.8, 12.6, 12.6, 12.7, 13.1, 13.4, 13.7, 14.1, 14.3, 15.1, 
##     14.8, 14.5, 14.3, 14.2, 14.5, 13.9, 12.6, 12, 11.4, 11, 10.6, 
##     8.75, 8.29, 7.41, 6.66, 5.77, 4.86, 2.6, 2.64, 2.84, 3.58, 
##     4.53, 5.1, 5.68, 7.17, 7.92, 9.35, 10.1, 10.5, 10.9, 11.2, 
##     11.6, 11.9, 13.2, 14.1, 14.2, 14.3, 14.3, 14.2, 14, 13.7, 
##     12.5, 12.7, 11.8, 11.4, 11.6, 12.3, 12.9, 13.4, 13.6, 13.5, 
##     13.2, 12.3, 14.2, 14.8, 15.2, 15.4, 15, 14.6, 14.2, 14.1, 
##     14.3, 14.2, 12.1, 11.2, 10.4, 5.87, 4.81, 4.02, 2.47, 2.15, 
##     3.7, 4.33, 5.83, 6.59, 7.22, 7.66, 8.03, 8.42, 8.35, 8.05, 
##     8.05, 8.06, 8.43, 8.7, 8.86, 9.47, 9.63, 9.72, 10.1, 11.1, 
##     11.6, 11.6, 11.5, 11.7, 12.2, 13, 14.6, 13.5, 13.2, 13.9, 
##     15, 16, 16.6, 17.1, 17.3, 16.9, 16.7, 16.5, 16.4, 16.4, 16.4, 
##     15.4, 14.9, 14.4, 13.6, 12, 11, 9.15, 7.55, 6.88, 5.6, 4.36, 
##     3.79, 3, 2.89, 3.55, 4.07, 9.53, 12.6, 13, 14.7, 14.8, 14.6, 
##     14.2, 12.7, 11.9, 11.4, 10.9, 10.7, 11.3, 11.4, 11.5, 11.4, 
##     10.7, 10.4, 10.7, 11.4, 11.2, 11.2, 11.7, 14, 15.2, 15.8, 
##     16.8, 17.1, 17.3, 16.2, 16, 14.7, 14.1, 12.6, 11.8, 10.2, 
##     8.5, 6.69, 5.49, 5.16, 4.99, 4.92, 5.04, 5.8, 6.48, 7.25, 
##     12.2, 13.1, 14.1, 14.7, 14.6, 14.3, 14.2, 13.9, 13.6, 12.8, 
##     12.7, 12.6, 12.4, 12.5, 12.6, 13.1, 13.2, 13.1, 12.9, 12.4, 
##     11.8, 11.7, 12.7, 13.3, 13.8, 14.2, 14.6, 16.3, 16.5, 17.3, 
##     17.6, 18.3, 18.4, 18.2, 18, 17.8, 17.4, 16.1, 15.8, 16.1, 
##     16.1, 14, 13.1, 10.4, 9.5, 8.61, 6.85, 7.02, 7.31, 9.19, 
##     9.9, 10.5, 11.7, 12.5, 12.6, 12.7, 12.6, 12.5, 12.2, 12.3, 
##     12.6, 12.8, 13.9, 13.9, 13.7, 13.6, 13.7, 13.8, 14.1, 14.3, 
##     14.8, 15.2, 15.5, 15.7, 15.8, 17.9, 17.3, 16.6, 16, 15.3, 
##     14.6, 14.1, 14.1, 15.1, 15.7, 16.2, 16.9, 17, 16, 15.9, 15.5, 
##     15.4, 15.3, 15, 14.8, 11.8, 10.4, 8.72, 8.29, 7.92, 7.45, 
##     7.79, 7.97, 8.43, 8.95, 9.63, 9.99, 11.4, 17.3, 17.7, 17.5, 
##     16.9, 16.7, 16.6, 16.4, 16.5, 16.6, 14.2, 13.1, 12.3, 12.1, 
##     12, 12, 11.9, 11.5, 11, 10.7, 10.4, 51.6, 52.1, 54.4, 55.2, 
##     56.3, 56.4, 49, 46.6, 31.3, 28.5, 12.4, 6.27, 5.15, 2.71, 
##     1.96, 2.99, 5.25, 7.03, 11.6, 14.4, 20.3, 30.5, 37.3, 49.2, 
##     51.2, 52.4, 52.8, 51.4, 48.6, 47.8, 47.1, 46.4, 46, 44.8, 
##     44.8, 45.2, 45.8, 46.5, 56, 58.3, 58.5, 56.2, 54.4, 49.4, 
##     46.4, 43.9, 41, 31.6, 28.8, 26.1, 23, 20, 14.9, 11.1, 8.26, 
##     5.66, 4.57, 3.62, 3.67, 3.79, 4.15, 4.3, 4.63, 5.25, 5.84, 
##     5.99, 6.29, 6.52, 6.89, 7.03, 7.29, 7.38, 7.37, 7.39, 7.47, 
##     7.76, 7.91, 8.21, 8.34, 8.53, 8.75, 9.01, 10, 10.4, 10.7, 
##     11.1, 11.5, 11.9, 12.7, 14, 14.9, 16.8, 17.9, 20.3, 24.6, 
##     34.3, 36.2, 40.4, 42.5, 48.2, 49.8, 51.2, 52.3, 53.2, 54.1, 
##     54.2, 51.7, 50.5, 37.6, 35.3, 33.1, 29.6, 28.6, 27.8, 27.4, 
##     27.1, 27.1, 27.2, 29.9, 37.3, 39, 40.7, 46.1, 49.7, 52.6, 
##     53.6, 54.4, 54.9, 54.3, 51, 49.7, 46.8, 46.6, 46.5, 47.3, 
##     47.8, 47.9, 48.3, 48.4, 46.6, 44.5, 38.7, 35.9, 34.8, 33.4, 
##     30.1, 28.1, 24.7, 24.9, 25.8, 31.8, 34.5, 37.9, 45.6, 48.8, 
##     53.8, 55.5, 55.6, 55.4, 54.8, 53.8, 50.9, 45.4, 43.6, 42.2, 
##     39.2, 39, 38.9, 38.8, 39.2, 42.5, 44.8, 45.8, 48.5, 49.2, 
##     50.5, 50.9, 50.6, 47.6, 46.5, 42.4, 39.4, 32.4, 27.5, 25.9, 
##     24.6, 26.6, 28.4, 30.5, 44.1, 48.4, 49.8, 51.3, 54.4, 55.5, 
##     56, 54.7, 46.5, 44.4, 42.5, 40.7, 38, 37.1, 36.2, 35.7, 35.4, 
##     35.4, 36.4, 37.2, 38.2, 39.3, 40.5, 43, 45.4, 48.8, 50.9, 
##     50.6, 50.1, 49, 47.4, 45.1, 43.4, 36.1, 31, 25.2, 24.2, 24.8, 
##     25.6, 27.4, 36.6, 38.6, 48.8, 48.3, 47.4, 46.5, 45.5, 44.4, 
##     43.1, 42, 40.7, 39, 36.6, 34.5, 32.2, 30, 24.7, 26.1, 27.1, 
##     29.9, 31.1, 36.2, 40.2, 44.3, 50, 51.6, 54.4, 56.3, 57.5, 
##     57.9, 54.4, 51.2, 49.6, 46.8, 46.3, 46, 45.7, 45.5, 46.4, 
##     47.8, 48.6, 51.2, 51.6, 51.9, 48.9, 43.4, 39.1, 30.9, 29.1, 
##     25.9, 24.5, 23.4, 22.1, 24.7, 25.7, 26.8, 28.2, 18.8, 18.8, 
##     18.9, 20.3, 22.3, 23.4, 31.5, 34.1, 36.6, 37.9, 38.1, 38.5, 
##     39.1, 39.7, 40, 40, 39.6, 38.5, 37.5, 35.3, 28.6, 27, 25.9, 
##     21.5, 20.7, 18.6, 18.1, 18.2, 18.3, 18.9, 20.7, 24.3, 24.3, 
##     25.6, 28.2, 32.1, 34.4, 37.6, 38.4, 39.3, 39.2, 39.9, 40.6, 
##     40.2, 39.8, 39.4, 38.7, 38, 35.2, 33.4, 31.7, 28.5, 26.3, 
##     24.3, 21.8, 19, 18.5, 18.4, 19.1, 19.5, 19.5, 19.4, 19.3, 
##     19.3, 22.1, 25.7, 34.1, 35.2, 35.2, 36.2, 36.2, 37.6, 37.6, 
##     38.2, 38.9, 39, 39.7, 40.6, 41.8, 42.3, 39.5, 38.4, 36.6, 
##     36.2, 34.4, 32.6, 28.4, 22, 15.7, 16, 16.5, 16.7, 17.2, 17.5, 
##     18, 20.7, 26.4, 30.1, 22.2, 21.9, 21.7, 21.5, 21.4, 21.3, 
##     21.5, 22.8, 25.4, 26.7, 29.6, 32.5, 34.5, 36.2, 36.9, 38.1, 
##     38.1, 38.1, 38.1, 39.3, 39.7, 40, 40.3, 40.6, 41.3, 42.2, 
##     43.4, 32.8, 33.1, 33.1, 33.1, 33.5, 33.6, 34.1, 34.2, 33.8, 
##     34.1, 35.8, 37.4, 37.8, 37.5, 37.3, 37.3, 37.7, 37.7, 37.7, 
##     36.9, 35.5, 34.9, 33.3, 31.7, 31.1, 29.7, 24.6, 23.4, 22.9, 
##     22.6, 23, 23.3, 23.6, 24.2, 26.6, 27.6, 29, 30.2, 30.9, 31.4, 
##     33, 33.9, 33.5, 32.1, 31, 31, 31.9, 31.9, 32.9, 34.2, 34.8, 
##     36, 37.2, 35.4, 30.1, 29.4, 27.8, 25.7, 24.7, 24.2, 22.7, 
##     21.6, 21.2, 20.8, 19.7, 20.4, 20.9, 21.4, 22.1, 25.2, 28.6, 
##     35, 35.2, 35.2, 34.9, 34.4, 34.1, 34, 34.3, 34.3, 34.3, 34.3, 
##     34.3, 34.9, 35.7, 35.7, 36.8, 37.1, 37.5, 37.6, 38, 37.9, 
##     38.3, 35.3, 34.2, 29.5, 28.7, 26.2, 24.8, 24.5, 24.3, 24.4, 
##     24.8, 26.2, 28.5, 29.4, 32.6, 33.4, 34, 34.4, 34.4, 34, 32.1, 
##     34.4, 34.7, 34.8, 34.7, 34.7, 34.8, 35, 35.5, 36.1, 36.3, 
##     36.2, 36.1, 36.1, 34.6, 33.9, 31.7, 30.3, 29.4, 23.7, 22.4, 
##     21.8, 21.1, 21.2, 21.6, 22.1, 22.7, 23.4, 25.3, 26.4, 27.5, 
##     30, 37.1, 39.8, 41, 41.8, 42.9, 42.1, 40.3, 24.2, 24.4, 24.5, 
##     24.6, 24.6, 24.8, 24.8, 24.9, 25, 25.1, 25.2, 25.2, 25.2, 
##     25.3, 25.4, 25.6, 25.7, 25.8, 25.8, 25.8, 25.8, 25.9, 26.1, 
##     26.1, 26.3, 26.6, 26.6, 26.8, 26.8, 26.8, 26.9, 27, 27.3, 
##     27.2, 26.8, 26.6, 26.5, 26.4, 26.4, 26.6, 26.6, 26.6, 26.6, 
##     26.7, 26.7, 27.1, 27.3, 27.4, 27.5, 27.5, 27.5, 27.6, 27.5, 
##     27.5, 27.4, 27.4, 27.4, 27.4, 27.5, 27.5, 27.4, 27.4, 27.4, 
##     27.5, 27.6, 27.7, 27.6, 27.7, 28, 28.1, 28.1, 28.1, 28.1, 
##     28.1, 28.1, 28.1, 28.2, 28.3, 28.3, 28.4, 28.4, 28.5, 28.6, 
##     28.6, 28.6, 28.6, 28.6, 28.6, 28.6, 28.5, 28.2, 28, 27.7, 
##     27.3, 27.1, 27, 26.8, 26.3, 25.9, 25.6, 25.4, 25.2, 25.1, 
##     25, 24.9, 24.8, 24.7, 24.7, 24.8, 24.8, 24.8, 25.2, 25.5, 
##     25.9, 26.4, 26.8, 27.9, 28.5, 30, 30.8, 32.5, 33.9, 33.4, 
##     32.9, 32.9, 32.9, 32.5, 32.1, 31.7, 31.7, 30.5, 30.1, 30.3, 
##     30.1, 30, 30, 30.1, 30, 29.9, 29.7, 29.7, 29.6, 29.9, 30.1, 
##     30.7, 30.8, 30.8, 30.7, 30.5, 30.7, 30.9, 31, 31.2, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     28.9, 32.5, 36.9, 41.4, 48.2, 50.1, 50.6, 50.1, 49.4, 48.8, 
##     47.3, 41.5, 40.1, 39.5, 38.1, 38.1, 38.5, 39.5, 42.2, 42.8, 
##     43.5, 44.1, 45.4, 47.6, 48.4, 49.8, 50.1, 19.9, 20.3, 20.7, 
##     21.4, 22.1, 23, 24, 27.8, 29.1, 30.6, 32.2, 33.8, 35.5, 37.1, 
##     39.7, 42.2, 43.2, 44.2, 46, 46.9, 48.7, 49.1, 49.6, 49.6, 
##     49.1, 45.4, 44.4, 45.7, 46.2, 46.4, 46.9, 48.1, 51.5, 53.6, 
##     53.8, 53.9, 53.8, 50, 49.1, 48.2, 47.3, 46, 44.4, 40.2, 38.5, 
##     36.6, 34.5, 32.5, 24.6, 18.7, 17.4, 16.3, 14.7, 13.9, 13.5, 
##     13.5, 13.8, 14.2, 15.6, 19.3, 20.6, 21.9, 27.1, 35.2, 45.8, 
##     47.3, 48.3, 49.4, 50.1, 51.7, 52.4, 52.5, 52.5, 52.2, 51.6, 
##     48.8, 48.4, 47.7, 47.7, 47.7, 47.5, 47.4, 47.3, 47.2, 47.3, 
##     47.4, 47.9, 49.3, 49.9, 52.5, 53.1, 53.4, 53.7, 53.9, 15.6, 
##     16, 16.6, 17.4, 18.4, 19.7, 25.2, 26.4, 32.6, 37.5, 42.1, 
##     44.1, 45.7, 46.9, 47.8, 49.4, 50.5, 50.8, 51.2, 51.4, 51.6, 
##     51.6, 50.9, 50.6, 50.2, 49, 48.5, 47.4, 46.1, 44.3, 44, 43.8, 
##     43.7, 37.3, 33.7, 26.4, 25.1, 23.2, 22.7, 23.1, 24.9, 26.4, 
##     28, 30, 32.5, 40.1, 44.3, 46.4, 48.3, 51.4, 53.6, 54.9, 54.9, 
##     54.9, 54.8, 54.7, 54, 53.8, 53.6, 53.2, 53, 52.9, 52.9, 74.2, 
##     68.7, 64.3, 59.7, 55.1, 47.6, 44.2, 39, 38, 35.3, 23.2, 21.2, 
##     18.8, 18.7, 24.5, 25.9, 27, 30, 43.2, 41.3, 36.4, 35, 33.4, 
##     31.9, 30.3, 28.7, 27.1, 25.3, 21.8, 18.3, 16.9, 15.6, 12.9, 
##     13.4, 14.1, 14.8, 15.9, 19.2, 20.5, 21.9, 25.4, 28.9, 30.9, 
##     35.2, 37.1, 39.3, 41.4, 43.5, 53.1, 55, 63.9, 63.8, 63.5, 
##     63.2, 63.1, 63.4, 63.8, 64.5, 65.9, 66.6, 68, 63.6, 61, 59.2, 
##     45, 15.1, 18.3, 19.6, 22.3, 28.5, 31.9, 41.6, 43.4, 48.5, 
##     52.5, 53.2, 54.2, 54.5, 54.5, 54.4, 54.2, 54.1, 53.9, 53.6, 
##     53.4, 53.4, 53.4, 53.4, 53.5, 54.8, 55.5, 56.8, 57.1, 43.7, 
##     44.4, 44.4, 44.1, 43.7, 42.2, 41.6, 40.9, 42.3, 43.2, 44.1, 
##     48, 50.2, 50, 47.6, 46.9, 43.9, 42.4, 40.9, 54.1, 55.4, 55, 
##     52.8, 51.2, 45, 42.8, 41.7, 38.5, 36, 33.5, 30.9, 29.6, 27, 
##     25.3, 22.2, 21, 20, 16.2, 15.8, 15.5, 15.4, 50.2, 50.2, 50.2, 
##     50, 49.6, 47.8, 47.2, 44.8, 42.6, 41.6, 40.5, 37.1, 35.9, 
##     34.4, 31.8, 28.3, 27.5, 26.9, 24.9, 24.3, 23.7, 23.1, 29.8, 
##     29.2, 29.1, 29.1, 29.1, 29.3, 29.4, 29.8, 29.9, 30.1, 30.1, 
##     30.1, 30.2, 30.3, 30.4, 30.5, 30.4, 30.4, 30.3, 30.3, 30.3, 
##     30.3, 30.3, 30.3, 30.3, 40.8, 42, 41.4, 41, 38.8, 37.1, 36.1, 
##     34.1, 32.7, 30.5, 29.8, 26.5, 25.5, 24.8, 23.1, 22.9, 23.2, 
##     23.4, 23.7, 23.9, 24.1, 42.1, 41.8, 41.6, 41.2, 40.6, 40.3, 
##     33.9, 31.8, 31.2, 29.8, 28.6, 28.1, 27.6, 25.3, 24.7, 24.5, 
##     24.8, 25, 25.3, 34.6, 37.3, 37.8, 38.4, 39.3, 40.2, 40.6, 
##     42.5, 43.4, 43.4, 43.9, 43.9, 43.9, 43.4, 42.2, 40.2, 39.2, 
##     35, 33.5, 31.9, 30.6, 29.9, 29.3, 28, 26.7, 24.7, 23.8, 23.2, 
##     9.78, 11.3, 11.8, 12.2, 12.8, 12.4, 12.6, 12.9, 15.1, 15.7, 
##     16.2, 16.6, 16.8, 16.3, 14.6, 14.5, 14.9, 15.3, 15.3, 14, 
##     13.8, 13.7, 13.6, 13.2, 12.7, 11.6, 10.8, 9.9, 7.06, 5.94, 
##     4.99, 4.28, 3.12, 3.07, 3.38, 3.88, 5.23, 6.86, 7.58, 8.13, 
##     8.95, 9.23, 9.36, 9.4, 9.44, 4.1, 4.27, 4.62, 5.26, 5.73, 
##     6.27, 6.88, 8.46, 9.36, 11.3, 11.6, 11.7, 10.4, 10.1, 9.84, 
##     9.71, 9.85, 10.1, 10.4, 11.5, 11.9, 12.2, 12, 11.8, 11.7, 
##     12, 12.2, 13, 13.4, 13.9, 14.5, 16.3, 21.2, 21.7, 21.2, 20.3, 
##     19.5, 19.1, 18.7, 18.4, 18, 17.2, 15.8, 15.1, 12.7, 10, 8.92, 
##     7.7, 6.54, 3.15, 1.11, 1.05, 1.27, 2.58, 2.93, 3.62, 3.93, 
##     10.3, 11.2, 14.3, 16.3, 18, 19.5, 20.1, 20.5, 20.8, 20.7, 
##     20.4, 20, 19.7, 19.4, 18.9, 18.4, 16.5, 15.9, 15.9, 16.2, 
##     17, 17.8, 18.1, 18.4, 18.9, 19.5, 54, 52.7, 51, 48.7, 46.3, 
##     41.2, 36.5, 34.7, 33.9, 34.7, 36.7, 39.4, 42.9, 51.6, 53.6, 
##     55.3, 59.2, 60.1, 59.9, 59.4, 59.2, 55.7, 52.3, 45.2, 44, 
##     43.1, 40.2, 38.8, 38, 44.9, 48.7, 56.4, 58.2, 59.7, 62.9, 
##     61.9, 57.7, 54.8, 51.5, 43.4, 37.5, 33.3, 32.4, 30.7, 30.2, 
##     29.8, 29.6, 29.4, 29.5, 43.4, 46.5, 48.3, 49.1, 50, 50.8, 
##     52.9, 53, 52.4, 48.4, 42, 41.6, 41.9, 46.6, 43.4, 46.2, 47.3, 
##     49.1, 49.7, 50.4, 54.2, 54.5, 54.9, 55.4, 56.1, 57.1, 57.2, 
##     57.1, 56.8, 56.2, 55.5, 54.2, 49.8, 46.5, 44.5, 42.8, 41, 
##     25.5, 45, 42.4, 39.6, 34.3, 32.3, 30.8, 29.8, 30.1, 30.9, 
##     31.9, 34, 35.1, 36.4, 37.8, 39.4, 43.1, 44.9, 46.7, 49.7, 
##     53.6, 54.5, 51.3, 50.3, 49.2, 47.6, 41.1, 39.9, 37.9, 37.7, 
##     38.2, 40.6, 44.4, 47.3, 48.5, 49.6, 50.5, 51.3, 52.2, 54.1, 
##     53.1, 51.7, 49.2, 47.8, 46.4, 42, 43.6, 47.1, 47.7, 48.4, 
##     49, 49.5, 49.5, 49.4, 49.2, 26, 25.8, 25.5, 24.8, 24, 22.5, 
##     16.2, 14.1, 13.2, 11.4, 10.4, 7.71, 4.87, 3.6, 2.94, -1.69, 
##     -2.6, -3.77, -5.07, -6.62, -10, -12.8, -15.4, -16.9, -18.2, 
##     -20.2, -20.2, -20, -19.4, -19, -17.8, -17.7, -17.9, -18.1, 
##     -18.7, -18.9, -18.8, -18.8, -18.3, -18.2, -17.9, -4.14, -4.02, 
##     -3.99, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 58.3, 47.3, 44.2, 41.1, 35.3, 32.4, 29.4, 27.2, 25, 21.6, 
##     12.6, 11.6, 8.73, 8.27, 7.68, 7.37, 7.05, 7.15, 7.23, 7.43, 
##     7.62, 7.62, 7.61, 7.7, 7.71, 7.68, 7.75, 7.7, 7.69, 7.89, 
##     7.96, 8.11, 8.24, 8.63, 8.79, 8.94, 9.06, 9.24, 9.38, 9.48, 
##     9.74, 9.87, 10.3, 11, 12.2, 12.7, 13.3, 14.6, 15.5, 16.3, 
##     17.1, 17.8, 19.6, 21.9, 23.2, 24.7, 28.6, 33.3, 35.9, 46.9, 
##     48.9, 50.4, 49.4, 47.2, 45.3, 42.8, 40.9, 29.7, 25.9, 22.5, 
##     18.6, 15.1, 11.8, 6.09, 1.36, -0.32, -1.4, -2.11, -2.33, 
##     -2.22, -2.2, -2.31, -2.45, -1.29, -0.62, 0.29, 2.43, 3.78, 
##     5.23, 8.64, 12.7, 23.1, 29, 35.4, 44.8, 53, 53.5, 47.3, 45.1, 
##     42.2, 38.7, 31.8, 28.1, 24.6, 17.9, 11.7, 8.74, 4.6, 3.77, 
##     3.44, 3.89, 4.42, 4.93, 5.56, 6.3, 7.28, 8.52, 12.3, 14.6, 
##     17.4, 20.2, 23.3, 34.7, 39.3, 42.6, 44, 43.8, 43.1, 41.4, 
##     38.8, 37, 34.8, 32.2, 29.2, 10.8, 6.6, 4.95, 6.59, 6.66, 
##     6.55, 6.67, 8.02, 9.06, 10.2, 11.6, 14.9, 21.2, 25.9, 45.3, 
##     48.1, 50.6, 52.4, 53.2, 53, 51.9, 50.1, 45.9, 39.7, 34.1, 
##     31.8, 29.1, 24.7, 22.5, 20.4, 16.8, 15.3, 12.6, 11.3, 11.6, 
##     12.3, 25.7, 27.9, 35.4, 40.9, 52.2, 52.7, 47.3, 42.6, 39.8, 
##     36.7, 33.3, 19.4, 13.4, 10.7, 6.25, 4.37, 2.68, 3.64, 10.4, 
##     15, 23.2, 32.8, 44.1, 44.8, 41.5, 39.2, 36.7, 33.7, 7.48, 
##     11.2, 11.2, 11.5, 13.1, 18.1, 22.7, 25, 27.6, 32.7, 38.2, 
##     41.3, 44, 48.2, 49.4, 48.3, 47.1, 45.7, 41.9, 39.6, 37.3, 
##     34.9, 32.7, 30.5, 28.6, 21.7, 19.4, 19.3, 21.5, 22.8, 27, 
##     34.3, 35.8, 37.2, 38.6, 40.6, 41.4, 41.8, 41, 40.1, 39, 33.5, 
##     27, 20.9, 17.8, 15.2, 11.1, 11.1, 12.4, 13.4, 13.6, 14.4, 
##     17, 22.9, 30.1, 32.5, 35.4, 38.3, 40.5, 42.8, 45.2, 43.7, 
##     42.9, 41.5, 39.6, 34.2, 31.4, 28.9, 26.4, 24.7, 23.7, 23.1, 
##     22.8, 24.5, 27.2, 27.4, 27.9, 28.4, 29.2, 30.1, 31.2, 32.3, 
##     33.7, 35, 39.4, 40.8, 45.5, 46.7, 47.8, 48.4, 47.9, 47, 45.7, 
##     43.8, 39.6, 33.2, 31, 28.6, 24.1, 19.7, 12.6, 9.12, 7.91, 
##     7.55, 7.3, 7.5, 7.95, 9.4, 12.2, 14.1, 16.3, 18.7, 30, 44.6, 
##     48.1, 48.3, 47.8, 45.9, 34.9, 33, 32.3, 31.7, 32.3, 32.9, 
##     33.5, 36.3, 39, 40.2, 42.5, 43.8, 47.4, 49.3, 46.2, 40.1, 
##     35.5, 32.9, 23.1, 17.9, 7.68, 3.22, 0.75, -8.78, -9.25, -9.27, 
##     -9.12, -8.33, -7.38, -2.73, -0.36, 2.2, 8.3, 17.4, 23.2, 
##     25.7, 28.1, 30.1, 31.8, 35.2, 37.8, 40.3, 41.5, 29.7, 28.1, 
##     28.7, 29.6, 30.6, 32.2, 32.4, 32.8, 35.7, 37.2, 38.7, 45.1, 
##     47.7, 48.5, 48.1, 47.5, 46, 44.1, 42.2, 36.8, 33.8, 31.4, 
##     29.2, 24.7, 22, 19.7, 17.6, 15.2, 12.6, 7.86, 3.7, 1.67, 
##     0.08, -2.27, 0.33, 6.08, 11.8, 14.8, 17.9, 23.8, 26.6, 29.2, 
##     31.6, 33.5, 35.2, 36.4, 39.4, 40.1, 40.4, 39.4, 37.1, 31.4, 
##     30.1, 28.4, 29.2, 30, 30.7, 31.2, 31.8, 33, 33.8, 34.7, 35.7, 
##     39.8, 41.4, 43, 44.7, 46.1, 47.6, 48.9, 51.2, 53.4, 53.3, 
##     52.8, 38.1, 29.7, 27.4, 22.7, 20.4, 18.1, 16, 10.2, 7.43, 
##     6.57, 5.46, 6.13, 6.35, 6.96, 7.93, 8.38, 9.18, 9.47, 9.73, 
##     9.79, 9.72, 9.64, 9.5, 9.42, 9.08, 8.89, 8.81, 8.77, 8.97, 
##     9.11, 9.46, 9.92, 10.3, 10.7, 11.2, 11.7, 13.9, 15.6, 17.2, 
##     18.1, 20.5, 21.4, 22, 24.7, 27.4, 29.4, 31.8, 33.6, 35.3, 
##     36.8, 37.2, 37.8, 37.7, 37.7, 37.7, 37.7, 37.7, 38, 38.2, 
##     38.4, 38.6, 38.7, 38.9, 39.1, 39.5, 41.1, 41.5, 41.8, 42.2, 
##     43.1, 43.1, 43.1, 42.7, 42.3, 41.2, 55.5, 54, 45, 38.5, 37, 
##     35.6, 34.4, 34.3, 34, 34.9, 35.5, 36.2, 37.1, 38.1, 39.3, 
##     40.5, 41.8, 43.2, 44.8, 46.3, 47.8, 55.7, 55.2, 46, 40, 40.7, 
##     45.2, 57, 62.9, 63.5, 59.3, 53.4, 51.8, 51.2, 50.7, 48.3, 
##     46.7, 45.3, 40.8, 36.9, 35.7, 32.8, 29.2, 26.7, 24.4, 22.4, 
##     12.5, 0.98, -0.73, -2.32, -4.86, -5.83, -6.82, -8.59, -9.61, 
##     -10.1, -9.56, -4.64, -2.97, 1.28, 3.45, 6.09, 8.58, 15.5, 
##     19.2, 22.6, 39.1, 42.8, 50.1, 52.5, 46.1, 41.6, 13.5, 10.1, 
##     10.3, 13.6, 20.9, 24.6, 28.3, 36.3, 41.3, 44, 51.1, 55.2, 
##     54.8, 48.7, 45.2, 41.7, 38.6, 35.2, 28.2, 25.3, 19, 12.4, 
##     4.59, 0.3, -1.11, -4.24, -8.37, -9.38, -10.7, -9.65, -8.7, 
##     -4.31, -0.15, 2.38, 5.12, 23.7, 27.2, 39.7, 42.1, 44.8, 44.2, 
##     40.1, 34.3, 30.7, 25.9, 22.7, 18.4, 25.2, 27.5, 29.8, 33.5, 
##     42.6, 49, 47.7, 40.9, 39.2, 36.7, 82.7, 78.4, 76.8, 70.1, 
##     66.8, 62.9, 62.1, 62.3, 62.7, 63.3, 65, 67.3, 70.3, 72.2, 
##     76.5, 81.5, 84.4, 89.8, 84.8, 80.2, 75.2, 73, 71, 69.3, 67.2, 
##     62.7, 52.1, 50.4, 43.4, 42, 40.9, 39.8, 33.5, 30.5, 26.4, 
##     31.2, 32.3, 33.9, 44.6, 52.7, 58.9, 67.8, 70.8, 76.7, 80, 
##     85, 84.1, 82.6, 80.9, 79.4, 76.3, 73.5, 70.8, 69.3, 66.3, 
##     64.6, 63.1, 61.8, 60.3, 56.5, 56.6, 56.9, 59.1, 65.7, 67.3, 
##     68.6, 72.2, 81.1, 85.8, 76, 70.6, 66.3, 64.1, 61.9, 56.3, 
##     49.6, 46.6, 45.4, 43, 42, 40.8, 38.4, 36.9, 24.2, 22.1, 18.6, 
##     22.5, 23.5, 24.5, 25.4, 26.3, 37.2, 41.7, 43.4, 45.2, 46.5, 
##     48, 49.7, 51.7, 55.7, 62, 63.2, 65.1, 67.9, 69.1, 72.3, 73.5, 
##     76.3, 76.1, 75.4, 73.5, 65.6, 59, 56.9, 49.9, 39.6, 35.3, 
##     33.6, 30.7, 26.8, 25.6, 21.7, 19.4, 18.1, 16.9, 15.8, 13.1, 
##     12.4, 11.2, 10.1, 8.18, 6.64, 6.45, 6.75, 7.82, 8.01, 8.87, 
##     10.5, 11.4, 13.5, 14, 15.2, 16, 17, 17.6, 17.9, 18.2, 18.8, 
##     18.7, 18.8, 18.6, 17.5, 17.1, 16, 15.9, 16, 16.4, 20.6, 22.5, 
##     27.4, 29.8, 32.5, 34.9, 37.7, 40, 42.3, 44.5, 46.4, 47.7, 
##     47, 45.4, 43.5, 41.5, 39.2, 26.3, 20.8, 13.6, 11, 8.55, 6.53, 
##     -3.08, -5.77, -6.53, -6.91, -6.85, -6.31, -4.6, -3.56, -0.75, 
##     2.74, 4.49, 6.41, 10.4, 12.7, 22.5, 25, 27.6, 30.3, 32.4, 
##     36.7, 38.7, 40.4, 41.9, 46.4, 47.9, 50, 51.2, 51.5, 50.8, 
##     44.7, 42.8, 38.9, 32.5, 28.5, 22.8, 21.1, 15.4, 12.4, 11.3, 
##     10.3, 9.75, 10.3, 15.8, 17.4, 23.8, 26, 29.6, 33.3, 37, 39.2, 
##     44.3, 43.8, 38.9, 36.4, 35.3, 34.4, 32.1, 29.4, 26.8, 25.4, 
##     19, 17.7, 14.6, 12.4, 11.4, 8.57, 7.43, 6.35, 5.21, 2.93, 
##     2.3, 1.46, 1.27, 1.21, 2.05, 3.47, 4.47, 6.91, 10.2, 12.2, 
##     14.1, 18.7, 27.7, 34, 39.6, 47.8, 49.8, 50.6, 51.5, 51.6, 
##     51.6, 48.8, 47.8, 44.3, 29.7, 28.2, 23.7, 22.4, 20.6, 20.2, 
##     20, 20.2, 20.7, 21.5, 22.6, 25.5, 27.1, 29.2, 35.1, 41.6, 
##     43.4, 47, 48.7, 49.8, 50.7, 50.6, 49.9, 48.7, 44.5, 42.7, 
##     36.9, 33.1, 29.6, 26.1, 20.6, 7.69, 3.72, -9.45, -9.13, -8.44, 
##     -5.05, -3.49, -2.09, -0.32, 3.44, 7.3, 9.29, 11.7, 16.1, 
##     21, 23.4, 28.1, 32.5, 36.8, 42.9, 46.6, 48.5, 50.1, 53.1, 
##     55.2, 55.3, 54.3, 51.2, 49.7, 48.1, 44.8, 41.9, 40.1, 38.4, 
##     34.6, 32.5, 30.5, 24.7, 23.2, 21.9, 21, 21.1, 22.2, 25.7, 
##     27, 28.2, 29.3, 30.8, 37.6, 42.2, 44.7, 48.5, 49.9, 50.9, 
##     51.7, 51.4, 50.7, 49.6, 46.7, 43.8, 40.4, 36.3, 32, 30, 24, 
##     21.7, 19.2, 17.1, 15.4, 13.8, 6.43, 3.66, -0.27, -1.33, -2.34, 
##     -5.22, -4.84, -3.5, -2.69, -1.65, -0.6, 0.83, 8.9, 11, 13.1, 
##     18, 23.7, 26.4, 29.5, 33.1, 36.1, 38.5, 46.7, 48.5, 52.9, 
##     54.8, 57.2, 59, 58.8, 51.3, 47.3, 45.4, 43.4, 41.4, 35.2, 
##     32, 29.4, 28.2, 25.4, 25.9, 26.5, 27.3, 32.6, 34.3, 39.5, 
##     41.2, 46, 49.5, 54.1, 56.6, 56.9, 56.5, 55.4, 42.7, 34.9, 
##     32.4, 29.9, 22.6, 18.1, 11.6, 7.76, 3.67, -3.92, -7.43, -10.9, 
##     -12.5, -13.7, -14.6, -15.8, -15.4, -14.9, -12.4, -11.3, -10.2, 
##     -7.28, -3.83, -1.98, 0.12, 2.36, 4.84, 7.21, 22.9, 23.8, 
##     24.7, 25.8, 27, 28.4, 30.7, 31.5, 32.1, 34.2, 35.8, 37.8, 
##     41.9, 47.8, 51.6, 44.4, 42.1, 30.3, 19.6, 17.3, 15.2, 10.7, 
##     6.4, 4.72, 2.81, -2.75, -7.42, -8.69, -9.79, -10.8, -11.7, 
##     -12.3, -12, -11.5, -10.9, -10.1, -7.88, -3.24, -1.78, 3.47, 
##     7.71, 10.2, 12.7, 15.3, 20.9, 29.6, 33.2, 48.6, 57.1, 57.5, 
##     57.6, 57.3, 53.4, 49.2, 47.6, 45.8, 41.6, 36.9, 29.2, 33.8, 
##     35.5, 39.9, 41.8, 43.6, 46.9, 48.4, 54.1, 55.5, 53.9, 49.7, 
##     47, 41.6, 38.7, 31.7, 27.4, 23.2, 17.9, 9.44, 4.91, 0.22, 
##     -6, -9.8, -16.8, -16, -14.1, -12.9, -11.7, -10.3, -7.28, 
##     -3.82, -0.24, 11, 13.4, 16.3, 21.9, 27.6, 30.4, 36.2, 44.2, 
##     54.2, 54.5, 54.5, 53.9, 53.2, 52.3, 49.9, 48.4, 46.5, 36.1, 
##     33.5, 32.4, 31.2, 28.6, 27.2, 25.8, 24.5, 24.3, 24.8, 28.7, 
##     30.8, 44.6, 47.6, 50.6, 55.4, 58.1, 58.3, 57.5, 48.2, 41.3, 
##     27.5, 25.5, 23.2, 21, 15.1, 13.4, -0.43, -4.58, -6.5, -13.1, 
##     -13.9, -14.3, -14.4, -12.7, -11.6, -10.4, -9.05, -7.41, -5.86, 
##     -2.29, 3.79, 6.11, 8.42, 11, 13.8, 16.2, 19.1, 22.1, 25.2, 
##     31.1, 42.3, 44.9, 47.6, 56.9, 60.1, 60.5, 58.8, 55.4, 48, 
##     46.7, 44.3, 38.8, 35.5, 33.7, 30.6, 28.3, 26.5, 26.5, 27.4, 
##     28.5, 30.1, 32.4, 36.9, 41.7, 51.6, 55, 56.2, 56.8, 54.1, 
##     52.7, 50, 48.4, 39.8, 37.6, 33.1, 30.5, 18.7, 12.3, 9.07, 
##     -8.03, -9.8, -12.3, -14.3, -15.9, -15.7, -11.5, -10.3, -4.23, 
##     -0.38, 1.92, 4.35, 9.65, 13.1, 19.2, 30.7, 33.8, 37.1, 40.9, 
##     44.2, 53.7, 63.4, 64.9, 65.9, 66.3, 64.5, 57.8, 55.7, 53.5, 
##     51.5, 49.4, 41.8, 40, 36.1, 34.2, 29.8, 10.1, 9.86, 9.71, 
##     9.6, 9.31, 9.11, 8.94, 8.87, 8.86, 8.82, 8.35, 5.14, 4.46, 
##     1.31, 0.89, 0.53, 0.3, 0.39, 2.2, 2.68, 3.12, 3.75, 4.11, 
##     4.28, 4.54, 4.74, 5.12, 5.58, 6.41, 6.56, 6.77, 7.05, 7.37, 
##     7.67, 8.09, 8.42, 8.38, 8.23, 7.98, 7.68, 7.55, 7.52, 7.42, 
##     7.21, 6.72, 6.55, 6.3, 5.98, 4.6, 4.66, 4.76, 5.51, 6.22, 
##     7.89, 8.99, 19.9, 20.6, 20.5, 20.2, 19.8, 19.8, 17.2, 14.9, 
##     14.2, 13.7, 13.4, 13.1, 12.6, 13.4, 13.8, 14.1, 14.6, 14.4, 
##     13.7, 10.7, 10.6, 10.8, 11.8, 11.9, 11.8, 11.7, 11.7, 11.9, 
##     13.6, 14.7, 15.9, 18.2, 18.5, 14.5, 13.9, 13.6, 13.6, 15.9, 
##     17.6, 18, 18.8, 18.8, 18.6, 18.2, 17.8, 17.3, 17.4, 17.8, 
##     17.8, 17.1, 16.7, 15.9, 15.6, 15.5, 15.5, 15.1, 14.9, 12.9, 
##     12.9, 12.8, 12.8, 12.9, 13, 12.6, 12.1, 11.9, 11.7, 11.8, 
##     12, 12.3, 12.7, 12.7, 12.7, 12.8, 13.6, 13.9, 14.6, 14.9, 
##     15.7, 16.2, 16.3, 16.1, 15.9, 15.9, 16.1, 15.7, 15.3, 14.7, 
##     14.3, 14.2, 14.9, 15.2, 15.6, 15.7, 15.2, 14.9, 14.6, 14.4, 
##     14.3, 14.1, 13.7, 13.3, 12.5, 11.5, 11.5, 11.9, 12.1, 12.4, 
##     12.3, 12, 13.4, 14.8, 15.6, 18.1, 18.1, 18, 17.6, 17.3, 17, 
##     17.1, 19.5, 19.6, 19.5, 19.1, 18.7, 17.6, 17.5, 17.5, 17.6, 
##     18.1, 17.9, 17.7, 17.2, 17, 16.8, 16.7, 16.8, 16.9, 16.7, 
##     16.5, 15.8, 15.3, 15, 14.7, 14.3, 14.3, 14.2, 13.9, 13.8, 
##     15.7, 17.3, 18.2, 18.7, 19.8, 22.7, 23.4, 24.1, 23.1, 21.9, 
##     22.2, 22.6, 22.5, 21.8, 20.9, 19.9, 17.9, 17.4, 16.5, 16, 
##     15.5, 14.8, 14.4, 14.1, 12.9, 12.8, 12.5, 11.9, 11.7, 10.9, 
##     10.8, 10.4, 10.3, 9.76, 9.61, 9.16, 9.87, 10.4, 12, 12.7, 
##     14.2, 14.8, 15.5, 15.2, 14.8, 12.7, 11.3, 13.5, 14.3, 15.5, 
##     15.7, 15.6, 14.4, 13.8, 13.7, 13.9, 14.1, 14.4, 15.4, 15.2, 
##     14.9, 13, 12.4, 11.8, 11.4, 10.9, 10.1, 9.38, 10.1, 9.75, 
##     10.2, 12.5, 12.3, 11.9, 11.9, 11.9, 11.9, 11.9, 10.9, 10.8, 
##     10.8, 11.3, 12.7, 15, 18.3, 19, 19.9, 19.7, 19.4, 17.8, 17.6, 
##     18.3, 18.7, 18.9, 18.9, 17.5, 17, 16.5, 15.6, 15.1, 14.4, 
##     13.9, 13.2, 12.7, 12.6, 12.5, 12.1, 11.7, 10, 9.54, 8.91, 
##     8.67, 8.33, 8.23, 8.07, 7.96, 7.96, 8.12, 8.09, 7.92, 7.34, 
##     6.68, 6.5, 6.47, 6.66, 7.11, 7.65, 9.04, 9.8, 12.8, 17.9, 
##     18.9, 18.8, 17.8, 17.4, 18.8, 20.8, 21.5, 21.5, 21.2, 20.5, 
##     18.3, 17.7, 17.1, 16.5, 15.7, 15.1, 14.2, 12.5, 12.6, 13.2, 
##     13.6, 13.8, 13.8, 13.5, 13.2, 11.5, 10.6, 10.3, 10.3, 10.3, 
##     11.6, 13.2, 14.1, 15.1, 27.8, 30.3, 32.9, 35, 37, 40.6, 42.5, 
##     42.9, 43.6, 43.8, 43.9, 43.2, 42.7, 42.3, 41.8, 41.9, 42, 
##     42.3, 42.5, 42.8, 43.1, 42.8, 42.5, 42, 41.8, 41.3, 41, 41, 
##     41, 40.9, 40.7, 40.4, 40.3, 40, 39.8, 39.8, 39.7, 39.4, 35.2, 
##     35.1, 34.9, 34.8, 34.7, 34.2, 33.8, 33.5, 32.8, 32.4, 29.4, 
##     28.6, 28.4, 28.3, 28.2, 27.8, 27.3, 27.3, 27.4, 27.5, 27.5, 
##     27.4, 31.3, 31.3, 31.5, 31.5, 31.6, 31.7, 32.1, 32.1, 32.2, 
##     32.2, 32.4, 32.6, 32.6, 32.6, 32.6, 32.7, 32.7, 32.8, 32.8, 
##     32.8, 32.8, 32.7, 32.7, 32.7, 32.6, 32.6, 32.4, 32.3, 32.3, 
##     32.3, 32.1, 32, 29.5, 28.1, 27.2, 25.3, 24.3, 20.6, -3.09, 
##     -3.44, -3.7, -4.2, -4.89, -3.16, -2.14, 4.08, 9.85, 16, 19.7, 
##     26.9, 30.1, 38.7, 38.5, 32.8, 30.2, 17.8, 16.9, 18.6, 20.4, 
##     30.9, 33.7, 36.1, 37.4, 37.7, 26.5, 9.28, 6.89, 3.8, -3.26, 
##     -5.55, -6.3, -6.57, -6.38, -4.91, -2.77, -0.93, 1.3, 3.8, 
##     9.23, 18.6, 21.6, 26.7, 28.8, 28.8, 30.1, 31, 31.5, 31.1, 
##     26.3, 24.5, 23.1, 22.2, 22.2, 21.4, 21.4, 20.9, 20.9, 21.1, 
##     21.8, 22.6, 23.5, 24.1, 24.6, 26.5, 22.4, 20.9, 16, 13.9, 
##     12.2, 9.72, 3.11, -1.14, -1.71, -3.04, -2.87, -2.88, -3.01, 
##     -2.9, -2.68, -2.42, -1.68, 3.54, 9.27, 11.7, 19, 20.7, 24, 
##     24.3, 24.6, 23.4, 24.2, 24.2, 24.4, 24.2, 24, 23.9, 24, 24.7, 
##     25.4, 27.4, 27.6, 22.7, 18, 15.6, 10.9, 9.04, 3.27, -1.88, 
##     -5.74, -3.56, -3.69, -3.76, -4.08, -5.45, -6.16, -6.16, -6.35, 
##     -6.09, -5.46, -3.57, -0.54, 7.5, 9.52, 13.7, 16.9, 18.3, 
##     23.8, 23.3, 22.3, 21.7, 22, 22, 21.9, 21.7, 21.1, 20.8, 21.8, 
##     22.4, 17.1, 14.9, 2.76, -0.13, -2.2, -7.72, -8.77, -8.74, 
##     -8.45, -8.22, -8.32, -8, -6.68, -5.69, -4.32, -1.16, 11.5, 
##     23, 24.5, 24.5, 27.5, 28.3, 28.8, 28.8, 28.9, 28.8, 28.3, 
##     27.7, 26.8, 14.8, 13.5, 12, 9.24, 3.11, 0.84, -2.44, -3.97, 
##     -7.03, -7.5, -7.01, -6.9, -6.85, -6.6, -6.53, -6.77, -7.03, 
##     -7.01, -6.42, -5.97, -5.49, -4.95, -1.89, -0.43, 1.06, 2.8, 
##     2.8, 4.75, 9.19, 11.5, 15.9, 16.9, 19, 22.3, 24.5, 24.5, 
##     24.5, 26.1, 27.3, 28.4, 29.4, 30.2, 31, 30.9, 30, 25.4, 23.9, 
##     23.1, 20.7, 18.2, 15.5, 7.75, 2.93, -1.63, -4.97, -9.73, 
##     -11.3, -12.3, -12.2, -11.8, -11.2, -11.3, -11.3, -12.2, -12.4, 
##     -11.9, -10.4, -6.5, -4.71, 0.07, 2.74, 8.01, 10.8, 17.2, 
##     23.4, 25.6, 29.1, 29.7, 30.2, 29.1, 25.7, 24.5, 23.8, 21, 
##     16.9, 14.5, 9.49, 1.18, -1.25, -2.62, -9.83, -14.2, -13.8, 
##     -13.4, -13.1, -13.1, -13, -12.9, -13.7, 3.54, -7.58, -7.7, 
##     -7.58, -7.3, -7, -6.83, -7.07, -7.62, -7.4, -6.1, -4.23, 
##     -3.06, 4.47, 6.6, 8.87, 15.7, 18.6, 21.7, 30.3, 30.8, 31, 
##     31.3, 31.3, 29.2, 26.8, 21.7, 21.3, 13.5, -2.66, -3.93, -7.31, 
##     -9.52, -10.6, -10.9, -11.1, -11.1, -11.2, 3.88, 1.52, -0.74, 
##     -3.1, -6.77, -6.38, -6.55, -7.76, -8.53, -8.75, -9.37, -9.59, 
##     -9.47, -9.5, -8.95, -5.9, -5.88, -5.83, -5.56, -5.55, -5.56, 
##     -5.56, -5.5, -5.44, -5.51, -5.65, -5.75, -5.79, -5.85, -5.92, 
##     -6.04, -6.05, -6.17, -6.24, -6.24, -6.24, -6.45, -6.39, -6.38, 
##     -6.33, -6.16, -5.93, -5.91, -5.9, -5.86, -5.54, -5.46, -5.36, 
##     -5.27, -5.29, -5.29, -5.29, -5.27, -5.08, -5.03, -4.92, -4.69, 
##     -4.58, -4.46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     37.8, 37.8, 34.5, 29.9, 27.4, 25.4, 20.6, 16.1, 16.2, 21.1, 
##     25.3, 31.2, 33.1, 35.2, 37.2, 42, 44.8, 44.2, 42.3, 39.4, 
##     37.2, 26.8, 18.4, 13.5, 4.18, 1.24, -1.95, -4.15, -5.06, 
##     -5.14, -4.64, -4, 11.6, 15.6, 24.6, 15.1, 13.4, 7.31, 6.01, 
##     3.84, 1.97, 2.52, 6.45, 8.14, 9.82, 12, 14.1, 18.4, 20.8, 
##     25.4, 27.5, 31.2, 32.6, 34.9, 35.9, 34.6, 33.8, 32.7, 31.8, 
##     28.3, 26.6, 24.5, 20.8, 22.1, 23.8, 25.3, 28.5, 32.9, 38.5, 
##     39.4, 40.1, 39.8, 38.7, 34.2, 31.3, 27, 25.5, 23.7, 21.5, 
##     19.1, 18.1, 13.7, 12, 8.18, 6.89, 5.65, 3.53, 1.41, 0.51, 
##     -0.18, 1.44, 8.17, 10.3, 19.1, 25.5, 27.5, 29.4, 31, 32.7, 
##     32.8, 30.9, 27.4, 25.8, 25, 23.8, 21.9, 21.2, 19.9, 19.9, 
##     19.8, 23.8, 25.7, 27.5, 29.3, 31.5, 35.2, 34.9, 34.9, 32.5, 
##     30.4, 22.9, 20.4, 18.3, 15.1, 13.9, 13.1, 11.3, 8.68, -0.28, 
##     -2.45, -3.23, -3.62, -3.88, -3.45, -1.09, 24.2, 22.8, 21, 
##     19.4, 17.8, 14.3, 11.2, 9.31, 7.27, 5.39, 3.79, 0.27, -1.9, 
##     -2.99, -3.44, -3.33, -2.74, 0.75, 3.55, 8.26, 9.84, 13.3, 
##     22.2, 20.2, 18, 12, 9.96, 8.96, 8.03, 7.19, 4.4, 3.07, 0.26, 
##     -4.38, -5.25, -5.87, -6.08, -5.96, -4.09, -3.08, -2.07, -0.77, 
##     1.84, 3.16, 4.57, 5.79, 9.07, 10.8, 12.6, 14.4, 17.4, 21.8, 
##     20.7, 18.9, 16.5, 16.3, 17.3, 18.1, 19.7, 20, 20.9, 22.9, 
##     21.8, 20.8, 17.5, 13.1, 11.4, 6.54, 21.7, 21, 20.3, 21.9, 
##     17.5, 16.5, 15.5, 14.3, 13.3, 12.8, 12.1, 11.6, 11.1, 10.4, 
##     6.54, 6.28, 6.23, 6.12, 6.23, 7.49, 8.01, 9.27, 9.45, 9.41, 
##     9.04, 8.93, 8.83, 8.81, 8.88, 9.61, 11.4, 11.8, 11.9, 11.7, 
##     11.6, 11.7, 11.7, 12, 12.3, 12.4, -4.28, -4.18, -4, -3.89, 
##     -3.83, -3.6, -3.6, -3.47, -3.36, -2.91, -2.84, -2.78, -2.71, 
##     -2.65, -2.65, -2.55, -2.49, -2.41, -2.39, -2.41, -2.42, -2.4, 
##     -2.34, -2.23, -2.18, -2.23, -2.24, -2.2, -2.51, -2.58, -3.12, 
##     -3.84, -3.95, -3.94, -3.92, -4, -4.1, -4.13, -4.42, -4.39, 
##     -4.36, -4.28, -4.25, -4.35, -4.42, -4.42, -4.74, -4.67, -4.67, 
##     -4.58, 9.93, 13, 16, 22.2, 39.7, 47.5, 48, 49.8, 50, 49.9, 
##     48.1, 42.3, 37, 35.2, 33.6, 32.2, 31.3, 28.1, 24.6, 23.7, 
##     23.1, -8.74, -8.59, -8.13, -7.86, -7.6, -7.46, -6.88, -6.75, 
##     -6.72, -6.74, -6.77, -6.78, -6.8, -6.87, -6.98, -6.96, -7.07, 
##     -6.9, -6.66, -6.63, -6.59, -6.44, -6.33, -6.1, -5.9, -11.5, 
##     -12, -12.6, -13, -13.3, -13.3, -13.2, -12.6, -3.07, 8.66, 
##     17.2, 19.2, 19.2, 20.8, 22.4, 26.7, 27.9, 29.5, 30.2, 30.5, 
##     30.6, 29.6, 28.7, 27.5, 23.5, 22.3, -14.2, -14.3, -13.2, 
##     -7.63, -5.52, -2.88, 2.35, 5.67, 5.67, 8.72, 8.72, 12.1, 
##     15.6, 21.8, 24.1, 26.5, 28.6, 28.6, 30.7, 32.6, 32.2, 29.5, 
##     27.4, 22.1, 13.2, 10.4, 18.3, 15.2, 12, 10.6, 9.34, 3.44, 
##     2.25, 1.11, 0.26, -2.15, -2.96, -3.59, -4.09, -4.47, -4.78, 
##     -4.99, -5.04, -4.92, -4.77, -4.77, -4.48, -4.48, -4.21, -3.76, 
##     -3.54, -3.09, -2.95, -2.87, -2.87, 39, 38.6, 38.2, 38.1, 
##     38, 37.8, 37.7, 37.6, 37.4, 37.3, 37.1, 36.8, 36.8, 36.6, 
##     36.4, 36.3, 36.2, 36.1, 36.1, 35.7, 35.6, 35.6, 11, 12.4, 
##     15.3, 15.8, 12.6, 12.9, 13.4, 15.2, 14.3, 14.1, 14.1, 14, 
##     14.2, 14.4, 14.5, 14.2, 14.1, 13.5, 13.2, 13, 12.9, 12.8, 
##     12.8, 12.8, 18.6, 19.1, 19.4, 19.3, 19.1, 18.7, 17.6, 17.3, 
##     16.8, 16.7, 16.7, 17, 17.3, 17.6, 18, 18.5, 18.6, 18.2, 18, 
##     17.5, 17.3, 16.1, 15.8, 14.9, 15.1, 15, 3.28, 2.21, 1.83, 
##     2.66, 2.41, -5.42, -2.82, 3.05, 3.29, 3.48, 4.62, 5.53, 6.51, 
##     7.53, 9.49, 10.3, 10.9, 11.3, 11.6, 11.8, 12, 12.4, 12.9, 
##     16.3, 17.7, 18, 18.5, 18.9, 20.2, 21, 15.1, 20.7, 23.9, 24.2, 
##     24.2, 24.1, 23.5, 23.4, 23.5, 23.3, 22.5, 21.6, 21.2, 24.1, 
##     24.8, 26.7, 27.5, 28.2, 29.5, 32.1, 32.1, 29.4, 28.4, 3.58, 
##     5.28, 7.03, 11.1, 14.7, 20.2, 24.2, 24.6, 25.5, 25.3, 25, 
##     24.7, 26.3, 24.9, 22.5, 22.6, 29.9, 31.4, 33.1, 34.4, 32.3, 
##     26.9, 17.8, 19.8, 21.7, 23.5, 25.4, 29, 30.7, 32.1, 33.8, 
##     33.6, 32.3, 30.9, 30.8, 29.6, 25.7, 19.9, 19.5, 21.6, 28.2, 
##     30.4, 32.6, 36.1, 39.7, 41.7, 42.3, 40.8, 30, 27.6, 21.1, 
##     18.8, 16.3, 12.4, 9.59, 8.08, 5.64, 3.64, 1.29, -0.56, -1.03, 
##     -0.99, -0.6, 1.02, 1.95, 7.56, 8.96, 14.4, 18.2, 19.9, 21.8, 
##     27.2, 17.3, 11.3, 1.81, 0.18, -2.84, -4.76, -6.01, -6.27, 
##     -5.97, -4.41, 2.59, 4.96, 18, 30.6, 34.5, 36.1, 37.2, 38.4, 
##     38.5, 38.4, 38.2, 36.3, 35.2, 33.8, 42.5, 43.4, 43.6, 42.8, 
##     41.3, 35.6, 34.2, 32.9, 31.8, 30.4, 31.3, 32.2, 33.1, 34.3, 
##     34.6, 34.9, 35.5, 37.8, 39.8, 43, 44.1, 45, 41.8, 40, 37.9, 
##     35, 23.1, 52.8, 45.4, 39.5, 33.5, 17, 11.7, 9.57, 5.12, 4.43, 
##     4.24, 4.47, 6.01, 7.29, 8.9, 14.8, 17.5, 26.4, 31.9, 36.6, 
##     41.9, 43.8, 14.5, 19.5, 21.1, 23, 27, 29.5, 32, 34.8, 42.1, 
##     45.3, 41.4, 38.8, 36.1, 29.7, 25.8, 19, 13.1, 10.9, 8.89, 
##     7.6, 7.17, 8.74, 10.1, 10.6, 12.8, 15.5, 17.3, 19, 21.1, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0), yaw_forearm = c(-153, -153, -152, -152, 
##     -152, -152, -152, -152, -152, -152, -152, -152, -151, -151, 
##     -151, -151, -151, -151, -151, -151, -151, -151, -151, -151, 
##     -151, -151, -151, -151, -151, -151, -151, -151, -151, -151, 
##     -151, -150, -150, -150, -150, -150, -150, -150, -150, -150, 
##     -150, -150, -150, -149, -149, -149, -149, -149, -149, -149, 
##     -149, -149, -149, -149, -149, -149, -149, -149, -149, -149, 
##     -149, -149, -149, -149, -149, -149, -149, -149, -148, -148, 
##     -147, -147, -147, -147, -147, -147, -147, -147, -147, -147, 
##     -147, -147, -147, -147, -147, -147, -147, -147, -147, -147, 
##     -147, -147, -147, -147, -147, -147, -147, -147, -147, -146, 
##     -146, -146, -146, -146, -146, -146, -146, -146, -146, -146, 
##     -146, -146, -146, -146, -146, -146, -146, -146, -146, -146, 
##     -146, -146, -145, -145, -145, -145, -145, -145, -145, -145, 
##     -145, -145, -145, -144, -144, -144, -144, -144, -144, -144, 
##     -144, -144, -144, -144, -144, -144, -144, -143, -143, -143, 
##     -143, -143, -143, -143, -143, -143, -143, -143, -143, -143, 
##     -143, 108, 108, 108, 108, 108, 107, 107, 107, 107, 107, 106, 
##     106, 106, 106, 106, 106, 106, 106, 107, 107, 107, 107, 107, 
##     107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 
##     107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 108, 108, 
##     108, 108, 108, 108, 107, 107, 107, 108, 108, 108, 108, 108, 
##     108, 108, 108, 108, 109, 108, 108, 108, 108, 108, 109, 109, 
##     109, 109, 109, 109, 109, 108, 108, 108, 108, 107, 107, 106, 
##     106, 105, 104, 103, 102, 101, 100, 99, 98.1, 99, 100, 104, 
##     105, 106, 107, 107, 108, 108, 109, 109, 110, 110, 109, 109, 
##     109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 108, 
##     108, 108, 108, 108, 108, 107, 107, 107, 107, 107, 106, 106, 
##     106, 107, 107, 108, 107, 106, 106, 106, 106, 105, 105, 105, 
##     105, 106, 106, 106, 105, 105, 105, 105, 105, 105, 105, 105, 
##     105, 105, 105, 104, 104, 104, 105, 105, 105, 105, 105, 105, 
##     105, 105, 104, 104, 104, 104, 103, 103, 103, 103, 103, 103, 
##     103, 104, 104, 104, 104, 103, 103, 102, 102, 102, 102, 102, 
##     102, 102, 102, 102, 102, 102, 101, 102, 102, 102, 102, 102, 
##     102, 102, 102, 102, 101, 101, 101, 101, 101, 101, 101, 142, 
##     168, -110, -99.2, -93.3, -89.3, -86.9, -85.8, -84.5, -84.4, 
##     -84.6, -87.3, -88.2, -89.9, -90.9, -93.2, -94.5, -98.7, -100, 
##     -117, -142, 111, 102, 97.9, 95, 92.5, 91.1, 90.2, 86.8, 81, 
##     80.6, 80.1, 77.8, 76.7, 76.2, 77.1, 78.8, 79.7, 80.6, 81.4, 
##     83.1, 83.7, 84.4, 85, 85.6, 86.2, 89.5, 90.4, 91.2, 91.9, 
##     92.7, 93.6, 95.5, 96.6, 97.7, 100, 101, 104, 106, 108, 110, 
##     113, 116, 167, -174, -154, -140, -117, -114, -112, -109, 
##     -108, -107, -107, -107, -107, -109, -111, -113, -115, -117, 
##     -119, -120, -124, -127, -148, 157, 105, 85, 83.7, 82.3, 81.3, 
##     78.4, 76.8, 76, 74.1, 73.3, 73.4, 73.8, 74.3, 74.5, 74.8, 
##     77.3, 78.2, 81, 81.9, 82.7, 83.6, 85.5, 87.3, 88.2, 90.9, 
##     91.8, 92.8, 93.5, 95.3, 96.3, 100, 102, 106, 111, 114, 123, 
##     138, 152, 168, -176, 79.2, 78.2, 76.7, 76.3, 75.9, 75.5, 
##     75.2, 75, 74.7, 74.4, 74.2, 74.2, 74.2, 80.4, 81.3, 82.1, 
##     82.9, 86, 87.9, 88.8, 89.6, 90.2, 90.7, 91.1, 95.5, 99.4, 
##     102, 106, 108, 120, 125, 133, -170, -125, -107, -105, -104, 
##     -103, -100, -102, -103, -105, -106, -108, -110, -112, -119, 
##     -122, -124, -128, -133, -138, 175, 125, 115, 88.6, 86.3, 
##     83.9, 81.5, 79.1, 78.4, 78, 77.5, 77.1, 76.9, 76.9, 78.3, 
##     77.9, 77.8, 77.6, 77.6, 77.9, 78.7, 79.5, 81.1, 83.1, 95.9, 
##     98.1, 106, 111, 114, 121, 137, 165, -171, -160, -120, -118, 
##     -116, -112, -111, -112, 78.7, 80, 80.8, 82.8, 89.2, 90.7, 
##     96.2, 97.8, 99.5, 101, 104, 113, 120, 123, 138, 143, 158, 
##     167, -175, -167, -160, -146, -139, -133, -121, -118, -115, 
##     -114, -114, 80.5, 81.8, 82.3, 83.8, 84.5, 88.6, 93.1, 94.7, 
##     96.2, 97.9, 108, 111, 121, 135, 146, 177, -167, -153, -148, 
##     -129, -127, -132, -170, -178, 170, 161, 152, 136, 129, 109, 
##     -170, -152, -147, -142, -137, -129, -123, -123, -124, -125, 
##     -135, -142, -152, -158, -166, 174, 165, 146, 140, 136, 124, 
##     102, 100, 96, 89.4, 88, 86.7, 85.2, 84.9, 84.7, 84.1, 83.2, 
##     81.9, 81.3, 81, 81.1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, -106, -102, -98.5, -95.6, -92.8, -88.3, 
##     -74.8, -71.3, -70.7, -70.3, -70.1, -70.1, -70, -70.3, -71, 
##     -73, -74.2, -75.9, -81.6, -88.7, -91.2, -100, -102, -110, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 118, 120, 121, 123, 125, 
##     125, 126, 126, 126, 127, 127, 128, 128, 128, 129, 129, 130, 
##     130, 130, 131, 131, 131, 132, 132, 132, 132, 133, 133, 133, 
##     133, 133, 134, 134, 134, 135, 135, 135, 135, 136, 137, 137, 
##     138, 138, 138, 139, 139, 139, 139, 140, 140, 140, 140, 141, 
##     141, 141, 142, 142, 142, 142, 143, 149, 149, 149, 149, 149, 
##     150, 150, 150, 150, 151, 151, 151, 151, 151, 151, 152, 152, 
##     152, 153, 153, 154, 155, 155, 156, 156, 157, 157, 157, 157, 
##     156, 156, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 158, 157, 156, 153, 149, 137, 79.3, 
##     73.1, 43, 39.2, 35.6, 29.5, 26.6, 17.4, 15.5, 7.16, 4.65, 
##     2.26, -1.77, -3.33, -4.36, -5.5, -5.55, -5.47, -5.5, -5.74, 
##     -5.78, -5.75, -5.67, -5.38, -4.48, -3.85, -3.15, -2.31, -1.46, 
##     0.53, 5.92, 7.38, 11.2, 15.5, 37.2, 51, 59.9, 64.3, 83.7, 
##     87.1, 90.4, 100, 103, 105, 107, 110, 115, 117, 119, 125, 
##     128, 132, 133, 136, 137, 139, 139, 139, 139, 140, 140, 140, 
##     139, 139, 138, 131, 125, 113, 85.6, 73.7, 61.5, 55, 48.6, 
##     31.4, 26.2, 21.5, 17.4, 13.1, 5.34, 1.99, -1.49, -7.83, -10.9, 
##     -13.6, -16.6, -19.1, -22, -28, -32.6, -34.7, -33.6, -33.2, 
##     -23.3, 119, 124, 125, 127, 127, 128, 128, 129, 129, 129, 
##     128, 126, 125, 124, 123, 117, 115, 112, 102, 93.6, 88.7, 
##     83.9, 72.9, 66.7, 60.3, 54.9, 32.5, 22.8, 17.4, 7.75, -0.69, 
##     -8.45, -11.7, -18, -27.4, -30.6, -38.5, -38, -37.7, -37.7, 
##     -38.1, -38.6, -38.4, -32.2, -28.8, -25.2, -23.4, -17.2, -15.1, 
##     -10, -6.41, -2.99, 4.46, 8.19, 17.8, 22.3, 27.7, 129, 129, 
##     129, 129, 128, 127, 125, 121, 117, 115, 113, 107, 95.6, 91.4, 
##     76.3, 51.3, 37.5, 24.4, 11.6, 5.95, -21.6, -34, -42.5, -49.3, 
##     -49.9, -49.9, -48, -46.2, -45, -43.9, -40.6, -38.4, -28.8, 
##     -17.1, -14, 18.8, 27.9, 32.7, 38.4, 43.5, 58, 62.9, 66.7, 
##     75.2, 86.4, 89.6, 92.9, -3.36, 0.13, 6.65, 20.7, 25, 38, 
##     42.6, 46.6, 50.5, 66.8, 75.1, 79.5, 86.5, 89.5, 92.8, 95.6, 
##     101, 106, 109, 111, 112, 117, 118, 118, 118, 118, 119, 118, 
##     118, 117, 114, 113, 105, 102, 89.7, 85.9, 77.3, 65.6, 59.6, 
##     53.3, 46.6, 26.9, 20.2, 13.6, 1.17, -14.9, -28.6, -35.9, 
##     -39.2, -52, -55, -57.5, -59.1, -59.7, -59.8, -59.4, -57.6, 
##     -56.2, -54.9, -53.6, -52.2, -48.4, -41.2, -26.7, -5.59, 1.64, 
##     9.37, 17.2, 30.7, 44.3, 52.2, 60.6, 68, 71.8, 81.8, 84.6, 
##     87.3, 90.1, 94.8, 97, 106, 107, 108, 110, 112, 113, 113, 
##     114, 114, 114, 114, 114, 113, 113, 112, 110, 109, 107, 106, 
##     102, 99.9, 95.4, 86.5, 79.9, 76.5, 72.2, 58, 34.5, 28.1, 
##     22.1, 16.3, 4.18, -17.3, -30.6, -38.5, -43, -58.7, -64.5, 
##     -66.3, -65.7, -64.8, -63.5, -60.9, -57.9, -50.7, -48.1, -45, 
##     -41.7, -32, -28.2, -25.2, -21.6, -18, -14.5, -10.7, 110, 
##     110, 108, 105, 104, 102, 92.7, 83.7, 76.6, 72.4, 60, 55, 
##     44.5, 38.6, 32.7, 26.5, 20.5, 2.32, -3.91, -9.12, -19.7, 
##     -25.1, -29.9, -38.9, -43.3, -52, -56.1, -63.1, -66.5, -65.1, 
##     -57.5, -48.8, -42.2, -38.6, -35.4, -31.5, -27.8, -20.7, -17, 
##     -2.67, 39.7, 48.7, 53.2, 57.3, 69.3, 91.1, 98.3, 102, 106, 
##     107, 109, 109, 109, 109, 109, 105, 104, 102, 100, 98.3, 96.2, 
##     92.1, 89.8, 84.8, 82, 79.2, 69.8, 66.7, 63.2, 51.9, 41.8, 
##     31.7, 21.1, 10.7, 0.61, -4.21, -18, -23.3, -27.6, -35.8, 
##     -40.6, -49.6, -53.5, -57, -60.7, -64.5, -61.8, -53.5, -46.4, 
##     -24.8, -16.3, -8.81, 1.23, 7.02, 10.5, 13.8, 17.6, 29.4, 
##     33.6, 37.8, 46, 61.9, 69.3, 73, 76.4, 89.8, 92.9, 95.9, 102, 
##     105, 112, 115, 117, 119, 120, 120, 120, 116, 115, 101, 98.6, 
##     66.2, 61.3, 55.9, 8.76, -47.2, -50.7, -56.2, -57.7, -57, 
##     -55.5, -53.3, -51, -45.9, -40.5, -28.5, -25, -18.6, -12, 
##     -8.6, -5.49, -1.89, 1.63, 5.06, 8.72, 20.4, 24.5, 29.1, 37.7, 
##     51.2, 59.4, 63.5, 66.9, 70.5, 77, 83.7, 167, 167, 168, 168, 
##     169, 169, 171, 171, 171, 170, 169, 169, 168, 169, 169, 169, 
##     169, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 169, 
##     169, 168, 168, 167, 167, 167, 168, 168, 167, 167, 166, 166, 
##     166, 166, 166, 165, 165, 166, 166, 166, 166, 165, 165, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 
##     165, 165, 165, 165, 165, 165, 165, 165, 166, 166, 166, 166, 
##     166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 
##     165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
##     165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 164, 
##     164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
##     164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 163, 
##     163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 164, 
##     164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
##     164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
##     164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
##     164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 
##     164, 164, 164, 164, 165, 165, 164, 164, 164, 164, 164, 164, 
##     164, 164, 164, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
##     163, 164, 164, 164, 164, 163, 163, 163, 163, 163, 163, 163, 
##     163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
##     163, 163, 162, 162, 162, 162, 163, 163, 163, 162, 163, 162, 
##     163, 163, 167, 167, 166, 166, 166, 166, 166, 167, 167, 166, 
##     166, 166, 166, 165, 165, 165, 165, 165, 165, 165, 165, 165, 
##     165, 165, 165, 165, 164, 164, 164, 164, 164, 164, 164, 164, 
##     164, 164, 164, 164, 163, 163, 163, 164, 164, 164, 164, 164, 
##     164, 164, 164, 164, 163, 163, 163, 163, 163, 163, 163, 162, 
##     162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 161, 
##     161, 161, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 
##     160, 160, 160, 160, 160, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, -143, -143, -143, -143, -143, -143, -143, -142, 
##     -142, -142, -142, -142, -142, -142, -142, -142, -142, -142, 
##     -142, -142, -142, -142, -141, -141, -141, -141, -141, -141, 
##     -140, -140, -140, -140, -140, -140, -140, -140, -140, -140, 
##     -140, -140, -140, -140, -140, -139, -139, -139, -139, -139, 
##     -139, -139, -139, -139, -139, -139, -139, -139, -139, -139, 
##     -139, -139, -138, -138, -138, -138, -138, -138, -138, -138, 
##     -138, -138, -138, -138, -138, -139, -139, -139, -139, -139, 
##     -139, -139, -139, -139, -138, -138, -138, -138, -138, -138, 
##     -138, -138, -138, -138, -138, -138, -139, -139, -139, -139, 
##     -139, -139, -139, -139, -139, -138, -138, -138, -138, -138, 
##     -138, -138, -138, -138, -138, -137, -137, -137, -137, -137, 
##     -136, -136, -136, -136, -136, -136, -136, -137, -137, -137, 
##     -137, -137, -137, -137, -137, -137, -137, -137, -137, -137, 
##     -137, -137, -137, -137, -137, -137, -137, -138, -138, -138, 
##     -138, -138, -138, -138, -138, -138, -138, -138, -138, -137, 
##     -137, -137, -137, -137, -137, -137, -137, -137, -137, -137, 
##     -137, -137, -137, -137, -138, -138, -138, -138, -138, -138, 
##     -138, -138, -138, -138, -138, -138, -138, -138, -138, -138, 
##     -138, -138, -137, -137, -137, -137, -137, -137, -137, -138, 
##     -138, -138, -139, -139, -139, -139, -140, -140, -141, -142, 
##     -144, -145, -146, -148, -153, -155, -165, -167, -168, -172, 
##     -174, -175, -177, 178, 174, 173, 171, 170, 167, 165, 163, 
##     162, 157, 148, 146, 143, 135, 131, 128, 123, 115, 106, 104, 
##     94.8, 91.8, 81.6, 79.5, 77.9, 76.7, 75.2, 75.6, 76.2, 79.7, 
##     81.3, 82.8, 84.4, 86.2, 87.9, 89.8, 92, 96.6, 99, 101, 107, 
##     112, 115, 118, 123, 139, 147, 149, 154, 157, 159, 162, 164, 
##     169, 173, 175, -179, -175, -170, -167, -165, -163, -159, 
##     -152, -151, -147, -146, -143, -141, -137, -135, -134, -133, 
##     -132, -132, -131, -133, -133, -135, -136, -138, -141, -143, 
##     -146, -158, -171, -173, -177, -180, 174, 170, 159, 154, 148, 
##     145, 142, 140, 134, 111, 105, 96.4, 94.3, 91.1, 91.4, 94.1, 
##     109, 112, 115, 118, 123, 128, 135, 141, 146, 153, 162, 168, 
##     171, 174, 178, 180, -177, -174, -172, -171, -167, -166, -164, 
##     -161, -160, -156, -155, -152, -150, -146, -144, -146, -147, 
##     -150, -158, -163, -168, -177, -180, 172, 167, 161, 153, 146, 
##     137, 130, 126, 122, 118, 97, 93.4, 90.9, 93.5, 97.2, 99.6, 
##     113, 117, 124, 128, 131, 143, 146, 150, 153, 159, 164, 167, 
##     179, -180, -177, -176, -174, -173, -171, -169, -170, -170, 
##     -171, -170, -170, -169, -166, -166, -170, -173, -175, 178, 
##     176, 169, 166, 164, 160, 158, 154, 151, 149, 146, 142, 139, 
##     132, 120, 115, 110, 105, 99.6, 93.7, 83.8, 78.2, 78.3, 83, 
##     84.6, 91.8, 102, 106, 114, 132, 136, 148, 154, 163, 171, 
##     176, 177, 108, 103, 97.4, 74.1, 60.8, 60.9, 62.8, 67.2, 72, 
##     75.7, 80.4, 97, 109, 134, 138, 148, 152, 154, 156, 157, 159, 
##     161, 162, 163, 163, 164, 165, 166, 166, 167, 169, 170, 171, 
##     172, 173, 173, 173, 173, 172, 170, 168, 167, 166, 164, 163, 
##     162, 158, 156, 154, 153, 134, 131, 125, 120, 111, 105, 99.8, 
##     94.1, 88.1, 82.5, 69.1, 44.1, 38.7, 39.9, 42.1, 45.1, 48, 
##     56.1, 59.9, 64.6, 75.9, 94.3, 105, 110, 115, 120, 125, 128, 
##     130, 133, 134, 136, 138, 138, 140, 140, 140, 141, 142, 142, 
##     142, 143, 143, 143, 142, 141, 140, 140, 139, 139, 139, 140, 
##     143, 143, 143, 141, 140, 140, 140, 139, 138, 137, 136, 134, 
##     129, 127, 125, 116, 108, 78.7, 69.8, 46.5, 8.06, 5.91, 5.4, 
##     6.45, 8.22, 10.3, 12.4, 15.7, 25, 38.4, 73, 83.5, 107, 125, 
##     127, 128, 128, 128, 128, 129, 129, 129, 128, 128, 128, 129, 
##     129, 130, 130, 129, 128, 127, 126, 125, 124, 124, 126, 127, 
##     127, 128, 129, 129, 129, 129, 130, 132, 132, 133, 130, 121, 
##     120, 118, 110, 104, 93.5, 48.5, 24, -3.36, -4.96, -1.9, 3.9, 
##     4.82, 7.06, 14.4, 93.9, 111, 117, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 160, 160, 160, 159, 
##     159, 160, 160, 160, 159, 159, 159, 159, 159, 159, 159, 159, 
##     160, 160, 160, 160, 160, 160, 160, 159, 159, 160, 160, 160, 
##     160, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 160, 159, 159, 160, 160, 160, 160, 
##     160, 160, 160, 160, 160, 160, 159, 159, 159, 159, 159, 159, 
##     159, 160, 160, 160, 160, 160, 160, 160, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 160, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 158, 158, 
##     158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 
##     159, 159, 159, 159, 158, 158, 158, 158, 158, 159, 159, 159, 
##     158, 158, 158, 158, 157, 157, 157, 157, 157, 157, 159, 159, 
##     159, 159, 159, 159, 159, 159, 160, 160, 160, 160, 160, 160, 
##     160, 160, 159, 159, 160, 160, 160, 159, 159, 159, 159, 159, 
##     159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
##     160, 160, 160, 160, 160, 160, 160, 159, 159, 159, 159, 159, 
##     159, 159, 159, 158, 158, 158, 158, 158, 158, 157, 157, 157, 
##     157, 157, 156, 156, 156, 155, 155, 155, 155, 155, 155, 155, 
##     155, 155, 155, 155, 154, 154, 154, 154, 154, 154, 154, 154, 
##     154, 154, 154, 154, 154, 154, 154, 154, 154, 153, 153, 153, 
##     153, 153, 153, 153, 153, 153, 153, 153, 153, 152, 152, 151, 
##     150, 150, 149, 149, 148, 148, 147, 147, 145, 144, 143, 128, 
##     120, 108, 102, 95.4, 87.6, 75.7, 63.3, 38.7, 30.4, 23.7, 
##     7.65, -2.76, -6.46, -11.6, -0.04, 10.6, 23.4, 54.5, 61.6, 
##     68.3, 74.8, 88.1, 88.6, 92.3, 94.5, 96.5, 96.8, 97.2, 98.4, 
##     99.3, 99.9, 104, 106, 106, 109, 110, 111, 111, 113, 115, 
##     116, 117, 117, 117, 117, 118, 118, 118, 117, 117, 116, 105, 
##     98.4, 89.9, 83.9, 62.5, 55.3, 46.1, 24.3, 13, -28.8, -30.5, 
##     -29.2, -26.9, -24.3, -15.7, -8.02, 33.2, 54.8, 65.5, 82.1, 
##     87.5, 93.5, 93.5, 95, 95.9, 96.5, 98.8, 100, 101, 105, 106, 
##     107, 108, 109, 109, 110, 110, 111, 111, 112, 114, 115, 115, 
##     114, 113, 112, 110, 106, 105, 93.5, 87.2, -11.9, -43.3, -44.2, 
##     5.88, 23.8, 43.3, 74.7, 83.7, 95.1, 97, 97, 96.9, 96.8, 96.2, 
##     96.2, 96, 94.5, 94.5, 94.6, 94.9, 94.8, 94.5, 95.3, 95.9, 
##     98.1, 99.2, 101, 104, 106, 110, 111, 113, 113, 114, 115, 
##     115, 115, 115, 113, 113, 118, -107, -72.5, -69.9, -68.2, 
##     -66.9, -66.7, -67, -67.5, -71.3, -73.7, -76.9, -129, 140, 
##     126, 123, 121, 119, 117, 113, 110, 109, 107, 103, 101, 99, 
##     98.3, 95.5, 93.3, 92.1, 89.5, 89.3, 94, 96.8, 98.5, 105, 
##     108, 113, 114, 115, 117, 119, 124, 131, 150, 160, 173, -170, 
##     -119, -117, -133, -145, -160, -172, 157, 143, 138, 124, 117, 
##     114, 112, 107, 105, 102, 94.7, 92.6, 89.3, 87.9, 82.2, 82, 
##     82.3, 90.1, 91.5, 93.2, 95.4, 97.8, 99.7, 102, 106, 108, 
##     114, 116, 118, 120, 126, 129, 135, 138, 144, 148, 159, 168, 
##     -159, -153, -146, -147, -153, -168, 172, 163, 157, 151, 127, 
##     123, 120, 118, 113, 111, 110, 106, 97.4, 89.1, 86.7, 81.2, 
##     78.5, 72.5, 71.7, 73, 75.5, 76.9, 78.4, 82.4, 84.7, 87, 89, 
##     91.2, 94.1, 96.9, 105, 113, 116, 120, 122, 124, 126, 128, 
##     130, 132, 134, 136, 138, 144, 150, 154, 171, -177, -179, 
##     178, 175, 170, 138, 134, 124, 121, 112, 108, 98.9, 96.6, 
##     86, 84.1, 82.1, 79.5, 76.8, 76.8, 78.8, 79.3, 82.8, 83.8, 
##     84.8, 85.7, 89.8, 98.1, 101, 103, 115, 117, 120, 122, 127, 
##     129, 139, 141, 144, 150, 153, 170, 175, 179, -176, -169, 
##     -170, -173, 173, 159, 154, 149, 145, 129, 117, 115, 109, 
##     106, 102, 99.7, 95.7, 92.9, 78.7, 76.2, 73.8, 72.1, 71, 70.3, 
##     69.9, 73.5, 76.3, 77.8, 81.7, 83.8, 89.4, 95.2, 98.4, 105, 
##     114, 120, 123, 129, 132, 135, 154, 158, 162, 166, -173, -167, 
##     -160, -153, -161, -165, 177, 157, 152, 136, 133, 121, 114, 
##     110, 108, 106, 102, 97.8, 96.6, 94.5, 92, 84.3, 73.6, 72.3, 
##     71.7, 70.6, 68.6, 68.1, 68.4, 75.2, 82.9, 85.5, 104, 120, 
##     142, 154, 158, 168, 173, -165, -164, -165, -171, -172, -176, 
##     179, 159, 149, 132, 128, 120, 111, 108, 101, 98.7, 96.4, 
##     58, 58.3, 58.8, 82.5, 84.6, 87, 88.3, 89.7, 91.5, 92.5, 92.8, 
##     93.2, 93.5, 93.9, 94.2, 94.6, 95, 95.8, 96.2, 96.5, 97.2, 
##     97.6, 98.6, 99.7, 100, 101, 101, 102, 102, 103, 104, 104, 
##     105, 106, 106, 107, 107, 108, 108, 108, 109, 109, 110, 111, 
##     113, 113, 113, 114, 114, 115, 115, 115, 116, 117, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, -82.5, -82.5, -82.5, -82.5, -82.5, -82.5, -82.5, 
##     -82.5, -82.5, -82.5, -82.5, -82.5, -82.5, -82.5, -82.6, -82.6, 
##     -82.6, -82.6, -82.6, -82.6, -82.6, -82.6, -82.6, -82.6, -82.6, 
##     -82.6, -82.6, -82.5, -82.5, -82.4, -82.2, -82.2, -82.2, -82.2, 
##     -82.2, -82.1, -81.8, -81.9, -81.9, -82, -82, -82, -82, -81.9, 
##     -81.8, -81.8, -81.7, -81.9, -82.1, -82.2, -82.3, -82.4, -82.5, 
##     -83.1, -83.1, -83, -83, -83, -83.1, -83.2, -83.3, -83.4, 
##     -83.5, -83.5, -83.5, -83.4, -83.2, -82.8, -82.7, -82.5, -82.5, 
##     -82.6, -82.6, -82.5, -82.5, -82.5, -82.4, -82.2, -82.1, -82.1, 
##     -82.1, -82, -82.1, -82.1, -82.1, -82.1, -82.1, -82, -81.9, 
##     -81.7, -81.6, -81.4, -81.3, -81.2, -81.2, -81.2, -81.2, -81.1, 
##     -81.1, -80.9, -80.9, -80.9, -80.9, -80.9, -80.9, -80.9, -81, 
##     -81.2, -81.3, -81.4, -81.5, -81.6, -81.7, -81.8, -81.8, -81.8, 
##     -81.9, -81.9, -82, -82, -82.1, -82.1, -82.1, -82.2, -82.1, 
##     -82.1, -82, -82, -82, -82, -82, -82, -82, -82, -81.9, -81.8, 
##     -81.6, -81.4, -81.3, -80.7, -80.7, -80.8, -81.1, -81.1, -81.2, 
##     -81.1, -81.2, -81.3, -81.4, -81.4, -81.4, -81.4, -81.6, -81.6, 
##     -81.9, -81.9, -81.9, -81.9, -82, -82, -82, -82, -82.1, -82.1, 
##     -82.2, -82.2, -82.2, -82.3, -82.3, -82.4, -82.5, -82.5, -82.5, 
##     -82.5, -92, -94.9, -95.9, -97.9, -100, -101, -104, -108, 
##     -114, -116, -118, -121, -122, -123, -123, -122, -122, -121, 
##     -121, -121, -120, -118, -118, -117, -117, -116, -115, -114, 
##     -113, -111, -111, -109, -108, -108, -108, -107, -107, -107, 
##     -107, -107, -107, -107, -106, -106, -106, -106, -106, -106, 
##     -106, -106, -106, -105, -105, -105, -105, -105, -106, -106, 
##     -105, -105, -105, -105, -105, -104, -104, -105, -105, -105, 
##     -105, -105, -105, -105, -106, -106, -105, -105, -105, -105, 
##     -105, -105, -105, -104, -104, -104, -104, -104, -104, -104, 
##     -104, -104, -104, -104, -103, -104, -103, -101, -101, -99.7, 
##     -98.2, -92.1, -90.3, -87, -85.7, -84.4, -79.5, -77.7, -77.3, 
##     -77.1, -77.6, -77.9, -78.5, -77.3, -76.4, -75.4, -75.6, -75.7, 
##     -74.4, -74.8, -79.3, -79.5, -79.6, -79.9, -80, -80.3, -80.8, 
##     -80.9, -81, -81.2, -81.3, -81.6, -81.8, -82, -82.3, -83, 
##     -83.6, -85.7, -86.6, -87.5, -88.7, -91.8, -93.7, -95.6, -97.4, 
##     -101, -107, -113, -116, -119, -123, -126, -131, -134, -137, 
##     -139, -142, -146, -151, -154, -160, -163, -170, -175, -177, 
##     -179, 179, 172, 170, 166, 166, 169, 173, 176, 177, -178, 
##     -176, -174, -171, -169, -160, -156, -148, -141, -136, -132, 
##     -124, -113, -105, -90.6, -84.4, -80.9, -70.4, -68.7, -66.9, 
##     -64.1, -63.4, -62.8, -62.2, -71.4, -77.8, -80.3, -88.4, -93.2, 
##     -97.4, -100, -103, -108, -111, -114, -122, -140, -142, -147, 
##     -150, -157, -159, -169, -174, -176, -178, 177, 177, 177, 
##     179, -179, -177, -176, -174, -173, -169, -167, -162, -159, 
##     -155, -152, -145, -138, -132, -127, -112, -116, -118, -129, 
##     -130, -132, -134, -136, -143, -146, -148, -149, -151, -152, 
##     -154, -155, -161, -168, -179, -179, -178, -178, -176, -175, 
##     -172, -169, -163, -161, -152, -150, -147, -137, -134, -125, 
##     -119, -106, -103, -100, -98.5, -96.1, -93.2, -89.2, -85.5, 
##     -81.5, -78.4, -138, -141, -144, -146, -154, -155, -157, -162, 
##     -164, -168, -174, -175, -177, -178, -179, -180, 179, 178, 
##     178, -178, -176, -162, -160, -154, -151, -149, -146, -143, 
##     -138, -135, -130, -127, -113, -111, -108, -102, -99.9, -97.7, 
##     -94.3, -88.6, -86.1, -84.4, -80.6, -75.9, -74, -73.3, -72.2, 
##     -72, -72.2, -72.7, -74.2, -75.1, -76.1, -79.6, -86.7, -90.5, 
##     -94.5, -96.6, -101, -104, -116, -121, -124, -126, -131, -133, 
##     -137, -142, -144, -148, -155, -160, -173, -175, -176, 179, 
##     178, 178, 179, -170, -163, -160, -158, -156, -151, -148, 
##     -140, -137, -117, -106, -94.8, -91, -87.2, -85.6, -81.4, 
##     -80.5, -77, -71.4, -70.6, -69.8, -68.6, -68.2, -68.5, -72, 
##     -75.3, -79.1, -80.4, -81.8, -83.2, -84.8, -87.7, -89.5, -91.5, 
##     -93.1, -103, -109, -113, -115, -117, -119, -121, -123, -125, 
##     -128, -133, -136, -148, -155, -156, -159, -161, -164, -165, 
##     -167, -171, -173, -178, -178, -178, -176, -175, -172, -171, 
##     -169, -167, -159, -145, -134, -121, -116, -113, -110, -96.8, 
##     -92.4, -89.9, -87.6, -85.9, -84.5, -79.4, -78.2, -75.8, -74.3, 
##     -70.4, -64.8, -64.4, -64.1, -63.9, -63.5, -63.1, -62.8, -62.6, 
##     -62.3, -61.9, -62, -63, -63.7, -64.7, -65.8, -68, -75.7, 
##     -77.3, -80.7, -85.2, -92.2, -96.8, -99.1, -101, -107, -116, 
##     -119, -121, -126, -129, -131, -138, -141, -145, -150, -154, 
##     -157, -160, -161, -163, -164, -169, -171, -172, -174, -177, 
##     -179, 180, 179, 177, 177, 177, 178, 179, -180, -177, -172, 
##     -170, -167, -159, -155, -152, -138, -133, -129, -121, -112, 
##     -102, -91.4, -88.2, -85.2, -82.8, -68.6, -66.3, -81.8, -85.6, 
##     -90.8, -96.4, -123, -129, -133, -138, -143, -146, -149, -151, 
##     -153, -155, -159, -160, -165, -167, -171, -172, -178, -179, 
##     179, 178, 177, 175, 175, 175, 176, 178, 179, -179, -178, 
##     -174, -172, -167, -165, -159, -152, -149, -142, -138, -134, 
##     -131, -128, -124, -117, -113, -92.9, -90.5, -86, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, -63.2, -62.1, -61.5, -61.5, -61.6, -61.7, 
##     -61.8, -62, -62.5, -64.2, -64.1, -64.3, -64.6, -65.1, -65.7, 
##     -68.5, -69.4, -71.3, -75.3, -76.7, -80.1, -74.6, -73.7, -72.9, 
##     -72.7, -71.6, -72.7, -74.5, -75.4, -76.4, -78.7, -80, -81.8, 
##     -83.8, -89.9, -94.9, -99.4, -101, -104, -106, -108, -111, 
##     -116, -118, -120, -122, -123, -129, -131, -133, -134, -75.3, 
##     -75.3, -75, -74.8, -74.6, -74.4, -74.3, -74.3, -74.5, -74.6, 
##     -74.8, -75.7, -75.9, -76.2, -76.9, -77.1, -77.8, -77.9, -77.9, 
##     -78.1, -78.3, -78.4, -79.1, -104, -104, -104, -104, -105, 
##     -105, -105, -105, -105, -104, -104, -105, -105, -105, -105, 
##     -106, -106, -105, -105, -104, -104, -82.5, -82.5, -82.4, 
##     -82.2, -82, -82.1, -83.1, -83.9, -84.7, -85.1, -86, -86.1, 
##     -86.3, -87, -87.5, -88.1, -88.8, -82.4, -82.4, -82.4, -82.4, 
##     -82.3, -82.3, -82.3, -82.4, -82.3, -82.3, -82.2, -82.1, -82.1, 
##     -82.1, -82.2, -82.2, -82.2, -82.2, 157, 157, 157, 157, 157, 
##     157, 157, 157, 158, 158, 158, 158, 158, 158, 158, 158, 158, 
##     158, 158, 158, 158, 158, 158, 158, 163, 163, 163, 163, 164, 
##     164, 164, 165, 165, 165, 166, 166, 166, 168, 169, 169, 169, 
##     170, 170, 171, 171, 171, 170, 170, 169, 169, 169, 167, -7.04, 
##     -0.19, 3.7, 7.33, 18.2, 21.7, 48.3, 60.6, 68.9, 79.8, 93.5, 
##     105, 109, 110, 48.3, 36.5, 30.4, 24.4, 18.1, -14.5, -23.2, 
##     -34.5, -37.8, -47.7, -53.7, -54, -53.8, -51.9, -50.6, -49, 
##     -45.1, -40.6, -35.3, -32.5, -23.6, -20.5, -17.2, -10.3, -6.5, 
##     101, 104, 109, 111, 113, 115, 116, 116, 118, 119, 120, 120, 
##     120, 119, 117, 117, 116, 114, 102, 99.6, 70.8, 60.2, 43.3, 
##     66.6, 70.9, 75.1, 79, 89.6, 92.6, 98, 107, 109, 111, 113, 
##     115, 118, 120, 121, 121, 122, 123, 124, 125, 126, 127, 127, 
##     128, 128, 129, -22.1, -21, -11.6, -9.31, -7.2, 0.81, 3.66, 
##     6.81, 13.8, 17, 21.1, 29.4, 33.9, 44.4, 49, 53.7, 58.7, 62.8, 
##     66.6, 82.7, 89.5, 106, 111, 117, 118, 144, 144, 144, 144, 
##     144, 144, 145, 145, 146, 146, 146, 146, 146, 146, 147, 147, 
##     147, 147, 147, 147, 148, 148, 148, 148, 148, 149, 80.5, 81.3, 
##     84.9, 83.5, 82.1, 78.7, 71.2, 0.34, 67.8, 66.8, 66.4, 66.4, 
##     76.1, 77.2, 79.9, 80.8, 80.6, 80.5, 80.6, 80.5, 79.7, 79.5, 
##     79.8, 81.5, 68.1, 69, 69.5, 69.7, 70, 70.7, 70.8, 70.8, 70.9, 
##     70.5, 70.2, 69.6, 67.7, 67.2, 66.7, 66, 65.2, 64.8, 64.5, 
##     64.2, 65.2, 69.5, 71.8, 77.3, 68.5, 69, 68.8, 68.5, 68.4, 
##     68.2, 67.9, 67.6, 66.9, 66.6, 66.3, 66.1, 65.9, 65.9, 66, 
##     66.1, 66.3, 67.6, 67.9, 68, 67.6, 67.5, 67.5, 67.6, 95.5, 
##     90.1, 85.5, 83.3, 82.3, 79.8, 78.6, 78, 78.6, 79, 80.3, 80.9, 
##     82.1, 83.4, 92.6, 94.1, 95.4, 97, 98.7, 118, 121, 125, 134, 
##     138, 150, 170, -117, -135, -159, 175, 153, 145, 126, 120, 
##     108, 104, 98.3, 95.8, 93, 87.2, 81, 80.2, -113, -138, -144, 
##     -172, 175, 125, 115, 105, 96.4, 94.5, 89.7, 86.1, 83.4, 82.5, 
##     81.6, 79.7, 79.1, 78.6, 78.2, 77.4, -160, -148, -120, -112, 
##     -110, -109, -106, -105, -110, -115, -119, -125, -138, -149, 
##     136, 97.6, 94, 86, 84.3, 101, 101, 101, 101, 101, 101, 102, 
##     102, 102, 102, 102, 103, 103, 103, 103, 103, 104, 105, 105, 
##     106, 106, 106, 106, 106, 106, 107, 108, 108, 130, 108, 108, 
##     -178, -176, -173, -172, -172, -172, -173, -170, -169, -169, 
##     -174, -176, -178, 180, 177, 175, 171, 169, 165, 162, 158, 
##     156, 152, 149, 147, 142, 136, 132, 129, 125, 121, 81.6, 82.7, 
##     83.2, 83.9, 85.1, 85.7, 91.9, 93.4, 97.6, 108, 116, 120, 
##     123, 138, 142, 148, 161, 168, -168, -161, -142, -137, -132, 
##     -121, -118, -118, -121, -134, -138, -143, -157, -164, 168, 
##     147, 125, 104, 101, 99.2, 98.1, 94.1, 92.3, 88, 85.9, 83.4, 
##     82.1, 82.3, 82.4, 82.2, 81.6, 81, 82, 82.8, 84.5, 87, 90.6, 
##     92.1, 93.5, 97.3, 101, 106, 113, 115, 121, 137, 141, 146, 
##     151, 169, -165, -146, -141, -136, -132, -116, -116, -118, 
##     -123, -125, -129, -133, -138, -157, -166, 87.3, 87.7, 88, 
##     88.3, 89, 89.5, 90, 90.7, 90.9, 91, 91.1, 91.2, 91.2, 91.7, 
##     92.1, 92.3, 92.6, 93.4, 93.6, 93.8, 93.9, 94, 94, 94.1, 94.2, 
##     94.4, 94.4, 94.5, 94.9, 95.1, 95.3, 95.9, 97.2, 98.9, 99.8, 
##     101, 104, 105, 107, 111, 113, 118, 120, 131, 142, 146, 151, 
##     169, -156, -144, -139, -133, -115, -110, -105, -96.7, -89.6, 
##     -88, -89.4, -101, -104, -108, -156, 165, 132, 105, 98.3, 
##     95.8, 93.2, 84.5, 83.3, 82.5, 81, 79.6, 78.7, 78.4, 80.7, 
##     82.8, 85.2, 86.5, 87.7, 88.8, 90.1, 91.3, 94, 95.5, 107, 
##     110, 122, 146, 151, 162, 176, -161, -153, -146, -94.1, -91.4, 
##     -89.3, -89.3, -90.9, -93.6, -101, -105, -109, -117, -123, 
##     -130, -150, -165, 180, 153, 144, 137, 131, 126, 122, 108, 
##     105, 102, 96.7, 90.4, 89.1, 86.3, 83.9, 82.3, 83, 84.7, 86.1, 
##     91.5, 92.6, 94.1, 95.8, 103, 106, 122, 128, 132, 144, 154, 
##     159, 170, 176, -158, -152, -145, -118, -111, -96.7, -91.5, 
##     -87.7, -83.1, -83.2, -84.6, -86.8, -93.2, -96.8, -101, -116, 
##     -123, -130, 152, 140, 136, 133, 129, 125, 114, 109, 162, 
##     167, -170, -153, -131, -121, -98.9, -92.7, -85.8, -80.7, 
##     -80.7, -87.7, -100, -122, -132, -159, -177, 145, 133, 128, 
##     122, 118, 105, 95.6, 90.1, 88.1, 84.6, 83.3, 85.6, 87.7, 
##     92.6, 97.4, 102, 104, 107, 109, 114, 120, 122, 135, 142, 
##     146, 150, 154, 162, 168, -178, -171, -154, -145, -103, -97.9, 
##     -93.1, -85.3, -80.9, -79.6, -81.2, -82.8, -85.2, -88.6, -96.9, 
##     -107, -114, -135, -163, -178, 145, 138, 121, 116, 104, 97.7, 
##     95.6, 88.6, 79.7, 81.6, 82.9, 84.7, 85.2, 87, 90.7, 91.8, 
##     93, 94.4, 96.1, 98, 117, 121, 134, 138, 148, 153, 171, -177, 
##     -159, -146, -133, -90.2, -87.1, -97, -158, -174, 170, 106, 
##     110, 114, 150, 155, 165, 171, -174, -159, -137, -128, -120, 
##     -111, -93.5, -89.8, -86, -87.3, -103, -107, -113, -126, -133, 
##     -140, -148, -155, 152, 142, 133, 128, 125, 121, 114, 107, 
##     102, 100, 95.6, 93, 85.2, 83.1, 80.5, 80.1, 80.3, 80.3, 80.1, 
##     80.2, 80.5, 80.9, 81.9, 82.6, 96.1, 102, 116, 120, 138, 142, 
##     155, 160, 176, -176, -163, -151, -135, -128, -120, -111, 
##     -85.7, -83.8, -83.9, -85.7, -88.3, -95.3, -99.8, -110, -122, 
##     -132, -151, 178, 166, 157, 150, 144, 133, 128, 123, 120, 
##     109, 121, 87, 92.3, 104, 105, 106, 107, 108, 109, 109, 110, 
##     105, 104, 104, 104, 103, 103, 110, 110, 110, 111, 111, 111, 
##     111, 111, 110, 108, 107, 106, 105, 104, 102, 101, 97.5, 95.6, 
##     91.5, 89, 86.1, 83.1, 76.6, 69.4, 65, 20.9, 6.52, -8.01, 
##     -15.3, -22.7, -35, -41.3, -58.2, -63.4, -68.2, -77.9, -82.7, 
##     -91.5, -95.7, -105, -110, -118, -122, -127, -127, -123, -115, 
##     -111, -96.8, -88.6, -83.9, -71.3, -62.2, -53, -48.7, -34.7, 
##     -30, -19.7, -14.4, -9.36, -4.55, 0.6, 16.4, 32.5, 48.2, 53.3, 
##     67.8, 72.5, 77, 81.6, 85.8, 95.5, 97.9, 100, 102, 109, 110, 
##     110, 110, 108, 104, 102, 94.8, 91.2, 83.3, 79.4, 70.4, 65.7, 
##     55.8, 50.3, 37.2, 0.47, -13.7, -27.3, -33.6, -39.4, -55.9, 
##     -61.4, -65.8, -70.7, -91.7, -95.7, -99.6, -112, -116, -120, 
##     -123, 62.2, 82.5, 86, 91.5, 94, 96.4, 104, 105, 107, 108, 
##     109, 110, 111, 111, 112, 112, 112, 111, 107, 106, 98, 83.9, 
##     79.5, 70.4, 65.5, 60, 55.1, 49.2, 43.4, 37, 23.2, 16.2, 8.88, 
##     -4.41, -11, -24.3, -40.4, -45.1, -59.8, -76.3, -80.4, -91.6, 
##     -95.7, -103, -106, -114, -118, -125, -128, -131, -133, -131, 
##     -129, -123, -119, -115, -106, -97.6, -88.3, -83.2, -73.5, 
##     -58.7, -54.1, -49.3, -30.6, -25.9, -7.18, 26.8, 32.2, 36.8, 
##     42.2, 52.6, 62.8, 67.1, 71.7, 75.8, 86.2, 91.6, 94, 98, 99.8, 
##     101, 107, 109, 110, 110, -63.7, -68.1, -72.5, -92.8, -96.9, 
##     -101, -110, -118, -121, -133, -136, -137, -134, -131, -125, 
##     -121, -117, -113, -93.6, -77.8, -73.2, -62.8, -37.4, -7.85, 
##     -2.71, 2.06, 13, 18.9, 29.5, 34.7, 44.4, 63.6, 80.6, 84.6, 
##     88.3, 91.6, 94.2, 96.5, 98.2, 99.7, 101, 104, 107, 109, 110, 
##     109, 108, 107, 105, 101, 98.7, 85.9, 77.6, 72.7, 35.3, 28, 
##     20.4, 5.96, -0.8, -13.8, -20.4, -26.7, -37.5, -48.1, -62.1, 
##     -67, -80.8, -89.3, -105, -109, -121, -128, -135, -138, -136, 
##     -116, -106, -101, -95.5, -80, -68.8, -52.3, -37.3, -22.8, 
##     -18.1, -3.06, 12, 23.1, 28.5, 38.9, 50.3, 55.7, 66.5, 71.4, 
##     76.4, 94.7, 99.6, 102, 104, 109, 112, 112, 112, 112, 112, 
##     111, 109, 108, 99.1, 92, 88.1, 69.1, 40.1, 33.4, 20.2, -12.9, 
##     -19.4, -37.3, -58.5, -69.1, -87.9, -110, -114, -118, -123, 
##     -132, -147, -148, -141, -134, -130, -126, -121, -117, -108, 
##     -103, -97.8, -92.9, -72.6, -66.9, -56, -45.3, -18.8, -4.22, 
##     0.31, 5.01, 9.14, 19.1, 24.3, 34.9, 55.9, 61.5, 67, 78.1, 
##     83.3, 91, 93.6, 98.3, 100, 104, 107, 109, 109, 104, -120, 
##     -111, -106, -101, -96.3, -87.1, -82.1, -76.9, -66.4, -61.5, 
##     -44.1, -33.2, -27.6, -21.6, -15.4, -3.83, 8.73, 21.7, 35.2, 
##     41.6, 61, 83.3, 91, 93.9, 96.6, 98.8, 101, 104, 106, 111, 
##     111, 110, 108, 105, 100, 97.9, 87.5, 83.6, 79.7, 75.7, 66.4, 
##     61.6, 56.4, 8.66, -18.9, -24.6, -36.7, -42.9, -53.9, -73.7, 
##     -78.1, -86.9, -99.2, -111, -115, -118, -134, -136, -137, 
##     -135, -133, -130, -126, -114, -93.2, -82.3, -53.8, -48.1, 
##     -42.6, -36.9, -20.1, -14.2, -3.26, 7.37, 19, 24.9, 125, 127, 
##     127, 126, 125, 124, 124, 123, 123, 123, 123, 123, 122, 121, 
##     120, 118, 116, 117, 117, 118, 119, 120, 122, 123, 124, 125, 
##     127, 130, 130, 131, 131, 131, 132, 132, 133, 133, 132, 130, 
##     117, 107, 86.2, -24.7, -41.1, -40.2, -37.9, -35.3, -31.5, 
##     -37.3, -42.8, -43.4, 7.13, 128, 128, 127, 125, 124, 122, 
##     121, 121, 122, 121, 121, 120, 119, 118, 117, 114, 112, 111, 
##     109, 109, 109, 113, 116, 117, 118, 119, 120, 120, 123, 128, 
##     130, 131, 131, 131, 131, 131, 139, 148, 161, 172, -166, -51.2, 
##     -47.3, -39.5, -41.1, -43.3, -47.6, -49.2, -50.3, -50.9, -51.5, 
##     -51.8, -51.9, 125, 127, 125, 126, 127, 126, 125, 123, 120, 
##     117, 108, 108, 109, 109, 109, 109, 109, 109, 109, 110, 110, 
##     110, 110, 110, 110, 110, 110, 110, 111, 111, 111, 111, 111, 
##     112, 112, 112, 112, 113, 113, 114, 114, 114, 114, 114, 115, 
##     115, 115, 115, 115, 115, 115, 115, 116, 117, 117, 119, 120, 
##     -38.7, -41.2, -42.8, -47.3, -53.2, -62.6, -94.3, -121, -154, 
##     179, 165, 156, 144, 135, 130, 128, 125, 121, 119, 116, 115, 
##     114, 113, 110, 107, 106, 106, 106, 106, 107, 108, 111, 112, 
##     114, 120, 126, 132, 138, 148, 152, -175, -161, -117, -108, 
##     -85.8, -76, -64.4, -55, -50.2, -46.9, -46.5, -48, -50.8, 
##     -54.6, -56.7, -57.9, -64.1, -67.2, -83.8, -112, -150, 163, 
##     156, 145, 141, 136, 132, 125, 123, 112, 110, 108, 98.1, 96.9, 
##     96, 95.4, 95, 94.9, 96.1, 96.9, 98, 101, 103, 104, 111, 113, 
##     117, 127, 136, 150, 161, 167, -173, -159, -152, -145, -139, 
##     -133, 120, 108, 107, 106, 104, 103, 101, 100, 99.5, 100, 
##     100, 101, 103, 104, 106, 110, 115, 118, 124, 133, 143, 148, 
##     153, 164, 177, -164, -151, -138, -132, -106, -100, -90.6, 
##     -85.8, -81.7, -58.8, -57.6, -57.2, -57.7, -61.3, -63.1, -71.5, 
##     -74.2, -76.9, -82.4, -85.8, -89.4, -97.7, -102, -114, -126, 
##     116, 129, 145, 156, 175, -178, -165, -151, -103, -97.6, -92.5, 
##     -83.7, -80, -70.5, -65, -74.5, -81, -85.1, -89.1, -118, -143, 
##     -152, -173, 179, 165, 143, 130, 121, 116, 113, 111, 109, 
##     107, 104, 98.6, 95.8, 94.4, 93, 91, 90.1, 95.1, 96.7, 98.6, 
##     103, 139, 168, -180, -162, -156, -125, -116, -111, -97.9, 
##     -94.2, -87.5, -75.5, -73.5, -72, 95.6, 94.4, 92.3, 93.6, 
##     95.9, 97.5, 99.1, 101, 104, 106, 109, 116, 128, 139, 144, 
##     156, 163, 169, 176, -178, -164, -157, -136, -131, -124, -118, 
##     -112, -100, 128, 125, 122, 111, 109, 106, 104, 102, 100, 
##     98.6, 97.4, 94.8, 94.9, 95.9, 97.9, 108, 110, 112, 118, 121, 
##     129, 138, 143, -179, -164, -151, -145, -139, -113, -107, 
##     -96.9, -91.9, -81.1, -77.7, -74.7, -66.9, -65, -63.8, -63, 
##     -62.9, -63.3, -65.6, -67.4, -72, -74.7, -81.5, -106, -119, 
##     -135, -153, -163, -174, 178, 171, 165, 153, 132, 128, 125, 
##     117, 114, 104, 102, 90.4, 89.1, 87.4, 86.6, 86.9, 88, 91.3, 
##     94.7, 99.4, 103, 107, 115, 129, 151, 164, -176, 89.3, 87, 
##     84.6, 82.2, 76.8, 75, 72.7, 67.9, 67.3, 67.9, 68.8, 70.2, 
##     71.6, 73, 74.3, 75.7, 78, 81.3, 81.8, 82.4, 82.9, 83.2, 83.2, 
##     83.1, 83.1, 83.1, 82.9, 83.1, 83.2, 83.3, 83.5, 83.6, 83.8, 
##     84, 84.9, 85, 85.2, 85.5, 85.6, 90.4, 90.4, 90.9, 92.1, 99.8, 
##     107, 118, 134, 151, 165, 171, 176, -143, -132, -120, -111, 
##     -96.7, -90.6, -89.9, -91.5, -93.8, -113, -120, -129, -174, 
##     153, 133, 128, 123, 113, 104, 79.3, 76, 73.4, 69.9, 68.6, 
##     68, 72.4, 76.2, 85.2, 89.3, 93.3, 98.5, 104, 121, 142, 148, 
##     166, -170, -145, -130, -121, -106, -98, -98.7, -100, -103, 
##     -107, -112, -123, -131, -161, 112, 117, 123, 141, 153, 177, 
##     -152, -139, -111, -100, -98, -97.5, -100, -103, -107, -111, 
##     -128, -143, -151, -176, 166, 156, 147, 140, 122, 107, 97.8, 
##     78.6, 69.7, 67.7, 67.6, 68.6, 69.8, 83.1, 102, 107, 113, 
##     118, 124, 130, 137, -176, -162, -149, -130, -115, -110, -106, 
##     -99, -94.7, -94.1, -95.6, -97.8, -100, -108, -118, -124, 
##     -131, -140, -147, -174, 166, 157, 140, 135, 123, 98.1, 93.7, 
##     85.3, 78, 69.5, 69.4, 69.9, 73.2, 82.2, 98.2, 115, 121, 134, 
##     141, 148, 156, -170, -164, -127, -118, -104, -104, -108, 
##     -112, -117, -144, -151, -159, 176, 159, 152, 145, 137, 129, 
##     111, 94.8, 83.9, 77, 73.8, 71.1, 65.9, 67, 76.9, 83.2, 86.8, 
##     90.7, 113, 134, 141, 65.4, 64.7, 64.4, 68.8, 71.3, 76.4, 
##     83.6, 93, 117, 132, 163, 171, -168, -127, -110, -99.2, -97.3, 
##     -99, -111, -128, -135, -158, -168, -177, 163, 138, 109, 95, 
##     85.1, 75.7, 69.5, 67.5, 68.1, 70.5, 72.2, 76.8, 79.3, 85.6, 
##     113, 162, 178, -167, -155, -148, -143, -137, -101, -98.2, 
##     -100, -115, -125, -130, -136, -143, -157, -166, -175, 177, 
##     169, 140, 132, 108, 102, 97.6, 83.4, 79, 69.1, 67.5, 66.3, 
##     66.3, 67.7, 68.8, 72.2, 76.7, 82.9, 92, 115, 122, 129, 137, 
##     152, 168, -177, -169, -162, -156, -151, -134, -129, -115, 
##     -111, -105, -103, -101, -104, -107, -133, -141, -147, -154, 
##     167, 157, 134, 125, 114, 91.1, 86.2, 82.1, 75.4, 70.2, 67.7, 
##     67.6, 68.9, -172, 164, 157, 148, 129, 123, 117, 112, 94.5, 
##     90.4, 83.9, 72.7, 71.3, 70.2, 69.2, 69.9, 70.7, 72.6, 74.2, 
##     76, 77.7, 80.6, 84.5, 85.1, 85.5, 86.6, 86.9, 87.7, 91.6, 
##     91.8, 91.9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -79.8, -74.5, 
##     -72.5, -65.7, -63.6, -61.8, -60.6, -60.2, -59.9, -60, -58.9, 
##     -58.6, -58.5, -58.5, -59.1, -59.6, -61.9, -65, -66.1, -67.2, 
##     -68.4, -74.3, 175, 173, 171, 169, 168, 168, 171, 174, 178, 
##     -180, -178, -175, -161, -157, -154, -151, -143, -138, -129, 
##     -124, -118, -112, -108, -105, -103, -99.8, -97.1, -94.3, 
##     -90, -84.9, -78.2, -76.1, -75.3, -73.3, -72.9, -72.6, -72.2, 
##     -71.8, -71.4, -70.6, -69.1, -69.4, -69.7, -70.9, -74.2, -76.8, 
##     -79.7, -80.7, -81.6, -84, -85.4, -86.9, -90, -93.3, -95.1, 
##     -106, -109, -114, -120, -126, -140, -144, -153, -155, -157, 
##     -161, -162, -163, -164, -166, -167, -169, -169, -171, -172, 
##     -174, -175, -176, -176, -177, -180, 177, 176, 173, 170, 170, 
##     168, 168, 168, 168, 170, -180, -176, -170, -168, -166, -162, 
##     -157, -153, -146, -141, -139, -133, -127, -124, -113, -107, 
##     -103, -97.9, -95.1, -90.4, -88, -82.9, -79.4, -75.4, -74, 
##     -66.5, -64.2, -62, -61.2, -59.8, -59.3, -58.8, -58.5, -58.1, 
##     -58.1, -62.3, -64.7, -66.2, -66.7, -67.1, -67.5, -67.8, -68.4, 
##     -68.9, -69.1, -69.3, -69.6, -69.8, -70.3, -70.5, -70.6, -70.8, 
##     -71.3, -71.3, -71.5, -72.5, -73.1, -73.7, -83.5, -91.2, -97, 
##     -100, -103, -111, -116, -124, -129, -134, -138, -147, -152, 
##     -155, -160, -164, -167, -173, -176, -179, 140, 142, 150, 
##     156, 160, 174, -169, -162, -155, -136, -130, -123, -105, 
##     -100, -95.2, -90.9, -80, -70.4, -65.5, -61.4, -58.4, -56.3, 
##     -53.8, -53.8, -53.4, 173, 171, 166, 163, 161, 136, 134, 121, 
##     119, 118, 116, 116, 116, 119, 123, 131, 135, 141, 144, 147, 
##     155, 162, 167, 177, -178, -147, -141, -135, -128, -118, -113, 
##     -108, -101, -97.2, -78.4, -76.4, -74.4, -72.8, -67.3, -66.4, 
##     -64.5, -63.5, -63.5, -63.5, -63.6, -64.7, -65.2, -66.5, -67.2, 
##     -68.3, -69.4, -70.9, -74.1, -80, -84.9, -90.3, -97.2, -101, 
##     -109, -113, -130, -140, -145, -158, -170, 179, 173, 171, 
##     169, 168, 162, 159, 157, 152, 148, 146, 144, 138, 136, 129, 
##     129, 129, 129, 129, 130, 131, 132, 134, 135, 137, 145, 158, 
##     173, 177, -176, -172, -168, -159, -155, -134, -130, -126, 
##     -105, -95.3, -92.9, -89.8, -86.9, -84.1, -81.6, -79, -75.3, 
##     -68.4, -67.4, -67, -66.6, -66.1, -67.9, -69.3, -70.3, -71.3, 
##     -75.3, -76.8, -78.4, -80.1, -84.2, -86.6, -92.1, -95, -98.2, 
##     -102, -109, -113, -127, -137, -147, -160, -171, -174, -180, 
##     178, 176, 171, 167, 157, 154, 153, 151, 148, 144, 139, 137, 
##     135, 132, 131, 130, 129, 128, 129, 129, 130, 131, 133, 140, 
##     142, 158, 165, 168, 172, 176, 180, -176, -163, -154, -144, 
##     -130, -114, -109, -99.1, -95.4, -83.4, -80.5, -75.9, -74.1, 
##     -72.2, -70.7, -69.7, -67.7, -154, -160, -164, -168, -174, 
##     -177, 175, 173, 172, 168, 167, 165, 163, 159, 153, 151, 147, 
##     133, 129, 126, 126, 126, 126, 127, 128, 132, 134, 135, 137, 
##     139, 141, 144, 149, 153, 160, 164, 168, 172, -167, -144, 
##     -139, -131, -123, -105, -101, -97.7, -86.7, -84.5, -77.2, 
##     -75.4, -71.6, -70.1, -69.2, -68.5, -67.9, -66.8, -66.5, -66.3, 
##     -66.1, -66, -66.1, -66.4, -66.8, -68.1, -69.5, -70.4, -71.4, 
##     -72.5, -86, -97.6, 155, 153, 151, 149, 147, 145, 136, 133, 
##     133, 133, 133, 134, 134, 140, 145, 151, 154, 157, 162, 174, 
##     179, -177, -172, -167, -162, -157, -146, -137, -132, -112, 
##     -105, -102, -98.7, -90.8, -84.8, -83, -74.2, -73.2, -72.2, 
##     -69.1, -68.2, -68.1, -68.1, -68.3, -68.7, -71.1, -72.1, -73.1, 
##     -74.3, -77, -78.9, -80.9, -83.1, -85.4, -90.6, -96.2, -99.1, 
##     -106, -109, -112, -116, -120, -124, -141, -149, -156, -159, 
##     -172, 174, 173, 169, 167, 166, 159, 157, 148, 142, 139, 137, 
##     134, 134, 136, 139, 140, 143, 144, 146, 154, 159, 161, 170, 
##     173, 177, -179, -175, -171, -166, -157, -153, -148, -139, 
##     -117, -110, -104, -96, -93.5, -80.1, -68.4, -67.8, -67.3, 
##     -66.8, -66.6, -66.6, -66.9, -67.2, -67.6, -68.2, -68.7, -70.3, 
##     -73.6, -75, -76.8, -81.6, -86.5, -94.6, -112, -115, -123, 
##     -127, -135, -160, -168, -178, 176, 174, 172, 168, 166, 164, 
##     148, 145, 141, 138, 131, 129, 128, 127, 126, 126, 126, 127, 
##     127, 129, 132, 134, 136, 148, 150, 156, 160, 167, 171, 176, 
##     -175, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, -109, -115, -119, -126, -138, -145, 
##     -149, -153, -166, -172, -175, -177, 177, 176, 174, 172, 171, 
##     164, 160, 159, 156, -65.8, -65.8, -65.8, -66.2, -66.4, -67, 
##     -67.5, -69, -69.9, -71.1, -72.4, -75.2, -78.3, -80.3, -84.6, 
##     -86.7, -96.5, -99.1, -102, -105, -108, -115, -118, -131, 
##     -137, -53.6, -60.2, -62, -70, -72.9, -79, -82.3, -89.1, -103, 
##     -111, -120, -143, -147, -151, -154, -161, -168, -175, -178, 
##     173, 171, 167, 164, 159, 156, 153, 150, 141, 138, 133, 129, 
##     126, 124, 122, 122, 122, 122, 122, 123, 123, 125, 134, -76, 
##     -77.8, -81.3, -85.3, -97.5, -100, -103, -116, -125, -146, 
##     -150, -151, -152, -155, -158, -167, -169, -171, -173, -178, 
##     87.2, 87.1, 86.8, 86.5, 86.2, 86.7, 87.3, 88, 88.3, 89.4, 
##     89.6, 90, 90.2, 90.3, 90.6, 90.5, 90.6, 90.9, 90.9, 91.3, 
##     73, 78.2, 84.5, 92, 96.9, 108, 122, 129, 161, 169, 176, -176, 
##     -169, -163, -157, -146, -129, -124, -119, -114, -109, -100, 
##     -97.2, -95.3, -107, -113, -119, -139, -146, 164, -176, -164, 
##     -158, -151, -133, -127, -116, -112, -105, -105, -106, -115, 
##     -125, -131, -136, -149, -172, 180, 143, 127, 121, 110, 93.5, 
##     89, 83.9, 75.9, 72.8, -178, 172, 148, 141, 112, 108, 103, 
##     90.6, 86.8, 80, 77.5, 71, 69.9, 70.3, 70.9, 72, 78.4, 81.1, 
##     83.6, 91.7, 96.6, 101, 86, 86.3, 86.8, 87, 87.1, 87.3, 87.5, 
##     87.6, 87.6, 87.7, 87.9, 87.9, 88, 88.1, 88.4, 88.8, 89, 89.1, 
##     89.3, 89.5, 89.6, 89.8, 89.9, 90.1, 90.1, 90.3, 90.2, 90.2, 
##     90.4, 90.4, 48.4, 59.3, 64.6, 74.8, 80.1, 89.3, 98.8, 105, 
##     107, 109, 112, 115, 115, 115, 115, 114, 113, 111, 106, 99.9, 
##     92, 82.6, 67.8, 62.2, 56.7, 44.7, 97.1, 93.9, 81.5, 77.1, 
##     72.7, 47.1, 13.1, -0.97, -13.9, -33, -39.2, -45.4, -50.7, 
##     -56.8, -73.4, -78.8, -83.7, -88.6, -97.6, -111, -119, -129, 
##     -132, -134, -133, -131, -128, -124, 111, 111, 105, 104, 101, 
##     98.5, 91.4, 83.9, 79.8, 75.2, 66, 61.4, 37.1, 30.5, 15.6, 
##     8.51, 1.31, -4.72, -17.5, -49.4, -54.3, -133, -134, -131, 
##     -122, -114, -110, -102, -97.7, -93.2, -88.7, -84.1, -79.6, 
##     -66.4, -58.2, -53.8, -37.8, -25.9, -17.5, -13, -9.18, -0.05, 
##     4.63, 13.8, 18.7, 24.2, 34, 48.5, 112, 112, 112, 112, 112, 
##     113, 113, 113, 113, 113, 113, 113, 112, 112, 112, 111, 111, 
##     111, 111, 111, 105, 106, 107, 109, 110, 110, 111, 111, 111, 
##     111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 112, 112, 
##     139, 113, 110, 106, 102, 99.3, 97.2, 95.3, 93.2, 91.1, 88.2, 
##     86.8, 85.3, 83.8, 83.5, 83.1, 82.7, 82.3, 82, 81.7, 81.5, 
##     81.4, 81.8, 85, 86.3, 89.3, 91.2, 97.9, 100, 101, 98.8, 97.5, 
##     87.1, 87, 87, 87.6, 88.9, 90.3, 94.3, 95.7, 97.4, 101, 105, 
##     114, 123, 125, 128, 172, 162, 154, 121, 109, 106, 102, 96.5, 
##     95.1, 88.3, 86, 85.2, 83.7, 83, 82.7, 83.1, 85.2, -89.8, 
##     -94.1, -169, -154, -130, -105, -99.3, -95, -86.5, -79.7, 
##     -68.4, -64.6, -64.5, -65.4, -66.2, -68.6, -72.2, -74.5, -79.7, 
##     -82.8, -95.1, -81.3, -77.3, -69.3, -62.8, -60.4, -59, -58.3, 
##     -59.3, -60.8, -64.1, -66.3, -68.8, -74.1, -76.8, -80.1, -83.6, 
##     -91.4, -107, -113, -134, -161, 160, 144, 140, -73.4, -79.3, 
##     -85, -88.5, -92.4, -96.7, -107, -118, -131, -138, -154, -163, 
##     -172, 151, 131, 127, 124, 119, 114, 109, 104, 101, -170, 
##     -178, 176, 169, 159, 155, 142, 138, 135, 120, 117, 115, 112, 
##     108, 106, 104, 102, 97.5, 95.6, 94.6, 99.7, 106, 109, -84.3, 
##     -73.9, -70.9, -59.8, -59.8, -61.6, -62.6, -66.8, -68.6, -75.9, 
##     -79.2, -87.4, -97.7, -118, -125, -133, -151, -160, 175, 163, 
##     158, 153, 139, 131, -58.6, -61, -63.7, -66.7, -70.1, -73.3, 
##     -86.8, -92.1, -99.2, -106, -131, -151, -173, 178, 158, 153, 
##     143, 135, 131, 125, 119, 116, 101, 105, 104, 110, 119, 122, 
##     125, 133, 138, 155, 178, -163, -152, -142, -134, -118, -103, 
##     -85.1, -80.4, -75.8, -67.9, -56.9, -53, -50.2, -46.5, -50, 
##     -51.4, -53, 122, 123, 125, 129, 130, 132, 137, 142, 148, 
##     165, -153, -90.9, -69.6, -61.6, -57.4, -50.6, -47.3, -44.6, 
##     -42.1, -40.8, -39.3, -37.9, -36.4, -34.4, -34.3, -34.8, 112, 
##     110, 109, 108, 107, 107, 106, 105, 104, 104, 104, 105, 106, 
##     107, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 
##     98.9, 93.8, 91.9, 84.2, 82.7, 81.6, 80.8, 80.2, 79.6, 79.9, 
##     80.4, 80.7, 82.7, 83.4, 84.4, 85.4, 90, 91.8, 93.9, 95.6, 
##     99.8, 102, 112, 119, 131, 146, 168, 173, -175, -170, -165, 
##     -153, -138, -131, -105, -99.3, -86.7, -85.8, -86.5, -99.9, 
##     -117, -142, -158, 176, 168, 158, 152, 123, 117, 113, 108, 
##     104, 96.2, 90.2, 85.3, 79.7, 76.7, 75.7, 75.7, 76.6, 80.4, 
##     81.8, 87.6, 90.4, 93.3, 96, 99.6, 110, 114, 117, 121, 129, 
##     150, 164, 169, 180, -175, -169, -152, -141, -128, -121, -111, 
##     -104, -101, -105, -117, -122, -126, -131, -136, -141, -157, 
##     -164, -171, 175, 163, 157, 152, 146, 132, 127, 123, 119, 
##     107, 96.6, 89.9, 85.1, 84, 82.9, 81, 80.3, 80.5, 80.6, 80.8, 
##     82.1, 85.2, 87.9, 90.3, 95.6, 97.2, 103, 105, 107, 109, 116, 
##     118, 120, 124, 131, 133, 137, 133, 135, 147, 150, 152, 154, 
##     159, 162, 164, 167, 167, 166, 166, 165, 164, 162, 161, 160, 
##     156, 155, 152, 146, 130, 124, 120, 117, 110, 116, 119, 122, 
##     125, 134, 137, 148, 151, 164, 166, 168, 170, 169, 169, 166, 
##     165, 164, 161, 156, 152, 148, 136, 130, 128, 126, 118, 115, 
##     113, 111, 109, 106, 97.7, 96.4, 93.2, 91, 89.7, 88.7, 87.8, 
##     87.3, 87.1, 87.1, 87.2, 87.6, 87.7, 88.6, 89.8, 91.3, 95.1, 
##     96.5, 97.7, 99.3, 104, 108, 112, 114, 122, 125, 130, 138, 
##     145, 150, 160, 169, 173, 174, 175, 175, 174, 170, 168, 164, 
##     162, 160, 154, 152, 150, 147, 144, 140, 134, 130, 127, 119, 
##     108, 104, 102, 99.4, 93.3, 94.1, 94.7, 96.6, 97.4, 101, 103, 
##     106, 114, 119, 121, 124, 133, 135, 141, 146, 149, 156, 159, 
##     162, 165, 169, 179, 180, 178, 177, 175, 171, 165, 160, 156, 
##     147, 142, 124, 122, 107, 105, 103, 99.6, 94.8, 93.6, 92.4, 
##     90, 89.1, 88.6, 89.5, 89.8, 90.1, 91.3, 96.4, 98.2, 99.7, 
##     102, 104, 105, 110, 120, 128, 130, 133, 139, 146, 161, -180, 
##     -171, -167, -172, -174, 177, 160, 153, 148, 130, 127, 124, 
##     121, 111, 109, 107, 103, 100, 97.4, 95, 92.7, 89.6, 89.5, 
##     89.4, 90.5, 90.9, 92.4, 93.5, 98.5, 107, 109, 111, 116, 121, 
##     129, 141, 144, 149, 151, 154, 160, 170, 172, 172, 171, 169, 
##     166, 162, 160, 142, 139, 131, 126, 124, 121, 118, 110, 104, 
##     99.8, 99, 98, 97.1, 96.2, 95.4, 91.7, 90.2, 88.6, 88.4, 88.1, 
##     87.9, 87.9, 88.1, 88.5, 1.57, -31.8, -49.1, -59.3, -64.6, 
##     -74.4, -79.3, -101, -105, -126, -132, -128, -124, -108, -103, 
##     -93.1, -67.3, -62.1, -56.5, -50.8, -45.2, -39.6, -28.3, -23.1, 
##     -13.8, -9.09, 7.75, 16.4, 20.8, 26, 31.2, 41, 46.7, 69.3, 
##     74.1, 79.5, 89, 93, 96.2, 98.9, 104, 106, 108, 110, 113, 
##     114, 113, 113, 110, 98.8, 86.9, 56.5, 36.9, 21.8, 6.21, -0.66, 
##     -8.29, -23.2, -30.7, -37, -61.5, -71.4, -76.4, -81, -89.6, 
##     -93.9, -97.9, -102, -106, -123, -132, -132, -130, -109, -100, 
##     -86.1, -81, -76.3, -71.3, -59.9, -53.9, -48.7, -37.7, -32.5, 
##     -27.4, -22.3, -17.5, -3.03, 1.83, 28.2, 44.9, 50.5, 56.4, 
##     71.6, 88.6, 97.4, 99.4, 103, 108, 109, 109, 110, 110, 110, 
##     110, 111, 112, 112, 113, 113, 113, 113, 113, 112, 112, 112, 
##     109, 103, 100, 97.2, 94.7, 74.8, 43.5, 28.4, 23.4, 18.3, 
##     13.4, 4.52, 1.42, -0.62, -2.59, -4.89, -5.48, -2.31, -0.66, 
##     0.91, 2.86, 7.56, 9.98, 12.5, 15.4, 19, 21.9, 25.2, 29.3, 
##     36.8, 52.4, 57, 66.5, 69.9, 73.9, 77.8, 81.6, 87.4, 89.9, 
##     95.5, 109, 110, 113, 113, 114, 115, 115, 115, 115, 114, 114, 
##     113, 109, 107, 105, 103, 99.6, 82.8, 78.4, 69.7, 65.5, 55.8, 
##     45, 106, 108, 112, 113, 115, 115, 113, 108, 106, 81.8, 78, 
##     74.1, 51.3, 68.5, 76.7, 84.6, 88.5, 92, 95.6, 98.3, 100, 
##     102, 103, 107, 108, 110, 110, 110, 110, 110, 110, 109, 94.5, 
##     84.2, 80.4, 56.9, 29.6, 23.7, 18, -3.92, -8.75, -22.2, -26.5, 
##     -26.8, -26.1, -20.9, -16.4, -13.8, 12.2, 16.4, 29.9, 48.8, 
##     63.3, 73.1, 76.8, 81.2, 99.5, 102, 105, 109, 113, 114, 115, 
##     115, 114, 113, 112, 108, 105, 100, 97.1, 67.5, 55.4, 51.1, 
##     46.7, 36.3, 26.9, 15.7, -3.33, -7.52, -11.4, -21.5, -23.8, 
##     -26.7, -23, -18.4, -15.6, -9.13, 5.87, 10.6, 15.2, 20.1, 
##     24.6, 45.5, 54.1, 67.8, 75.9, 87.2, 111, 114, 115, 117, 117, 
##     118, 117, 115, 114, 108, 100, 94, 90.3, 86.6, 74.3, 65.7, 
##     60.6, 50.5, 45.1, 27.3, 14.9, 8.58, 2.9, -7.48, -21.1, -22.8, 
##     -25.3, -25.6, -25.4, -24.5, -19, -16.4, -13.6, -10.6, -7.15, 
##     -3.84, -0.24, 8.05, 11.9, 16.9, 21.4, 25.9, 30.5, 41.3, 45.9, 
##     54.9, 78, 89.8, 99.9, 109, 115, 117, 118, 119, 115, 112, 
##     102, 95, 59.2, 48.8, 37, 25.5, 13.8, 7.99, 3.14, -11.7, -15.5, 
##     -19.1, -21.5, -25.3, -26.9, -26.4, -25.2, -23.5, -21.6, -19.5, 
##     -17.2, -14.8, -11.6, -8.69, -5.23, -2.41, 1.36, 115, 112, 
##     110, 108, 103, 100, 93.4, 89.9, 73.7, 59.8, 44.7, 39.1, 34.5, 
##     29.1, 23.8, 13.5, -9.17, -12.5, -21.7, -22.7, -21, -19.4, 
##     -17.8, -16.1, -11.9, -4.15, -0.7, 9.22, 25.7, 40.1, 44.9, 
##     50.4, 72.8, 81.4, 86, 90.1, 98.8, 102, 108, 112, 116, 118, 
##     118, 118, 117, 117, 116, 115, 110, 107, 95.4, 83.9, 76.3, 
##     72.5, 60.7, 56.7, -98.5, -103, -108, -114, -119, -125, -140, 
##     -157, -166, -173, 180, 174, 167, 140, 131, 127, 124, 121, 
##     118, 116, 108, 105, 102, 99.3, 97.8, 97.3, 96.9, 97, 97.1, 
##     97.2, 97.4, 97.8, 98, 98.3, 98.8, 98.9, 98.8, 98.6, 97.6, 
##     97.4, 97.2, 97.1, 96.7, 96.9, 96.9, 96.9, 96.8, 96.6, 96.5, 
##     96.2, 95.9, 95.6, 95.6, 95.7, 95.7, 95.9, 97.8, 99.8, 100, 
##     101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 100, 
##     100, 100, 100, 100, 100, 100, 99.9, 99.9, 99.3, 98.8, 99, 
##     99.6, 100, 100, 100, 100, 100, 99.9, 99.8, 99.7, 99.6, 99.5, 
##     99.7, 99.8, 100, 101, 101, 101, 102, 102, 103, 104, 104, 
##     105, 105, 106, 106, 106, 106, 106, 106, 106, 105, 105, 107, 
##     106, 106, 106, 107, 107, 107, 107, 109, 110, 111, 113, 114, 
##     117, 119, 130, 137, 140, 143, 146, 152, 157, 160, 162, 165, 
##     167, 170, 173, 178, -180, -178, -173, -171, -171, -171, -172, 
##     -176, -179, 179, 176, 170, 167, 160, 154, 144, 141, 135, 
##     129, 123, 118, 110, 108, 106, 105, 101, 99.6, 97.8, 94.7, 
##     93.5, 92.6, 92.1, 91.8, 91.9, 92.4, 93.3, 94.6, 107, 113, 
##     118, 120, 123, 128, 147, 162, 165, 169, 171, 173, -175, -174, 
##     -178, 178, 175, 163, 158, 149, 145, 137, 133, 125, 115, 93.5, 
##     91.3, 89.9, 89.7, 90.7, 94.2, 97.2, 101, 113, 116, 121, 124, 
##     127, 140, 161, 165, 172, -174, -171, -166, -166, -167, -170, 
##     -176, 166, 157, 147, 140, 124, 120, 117, 114, 108, 106, 104, 
##     102, 97.3, 96.1, 93, 92.5, 91.9, 91.8, 92.1, 93.4, 94.5, 
##     95.8, 97.4, 99.2, 106, 108, 111, 115, 118, 121, 129, 138, 
##     143, 175, -172, -169, -169, 178, 169, 148, 144, 140, 123, 
##     120, 111, 109, 103, 91.9, 90.7, 90.4, 90.6, 91.2, 93.2, 96.1, 
##     102, 107, 113, 124, 128, 132, 140, 145, 151, 156, 176, -179, 
##     -169, -159, -154, -153, -153, -156, -158, -161, -169, -173, 
##     178, 173, 158, 136, 129, 122, 119, 116, 113, 110, 107, 102, 
##     93.5, 92.3, 91.3, 91, 91.2, 91.5, 92.1, 96.1, 99.3, 105, 
##     110, 117, 120, 130, 90.9, 90.7, 90.8, 91.2, 93.3, 94.6, 97.7, 
##     99.4, 101, 103, 107, 109, 112, 120, 127, 135, 156, 170, -157, 
##     -139, -137, -137, -137, -137, -141, -144, -147, -156, -168, 
##     -175, 179, 162, 157, 151, 139, 135, 118, 112, 109, 98, 94.7, 
##     93.3, 92.2, 90.9, 89.8, 89.2, 89.5, 90.8, 93.8, 101, 105, 
##     108, 115, 123, 131, 140, 144, 154, 165, 170, 176, -179, -168, 
##     -163, -159, -152, -146, -142, -140, -139, -140, -141, -143, 
##     -148, -152, -162, -169, 179, 152, 146, 141, 130, 126, 118, 
##     115, 112, 110, 104, 100, 98, 96.3, 95, 89.6, 89.8, 90.2, 
##     90.8, 91.8, 92.8, 96, 97.9, 108, 111, 118, 121, 125, 175, 
##     -164, -148, -145, 92.4, 92.5, 92.6, 92.7, 92.9, 93, 93.1, 
##     93.4, 93.5, 93.6, 94.1, 94.3, 98.3, 101, 103, 110, 116, 129, 
##     132, 138, 148, 151, 153, 156, 159, 162, 164, 169, 171, 173, 
##     174, 174, 173, 169, 168, 165, 162, 158, 155, 152, 146, 137, 
##     130, 125, 113, 104, 98.9, 89, 84.4, 81.7, 78.1, 73.7, 72.9, 
##     71, 70.3, 70.1, 70, 71, 73.3, 76.3, 77.9, 79.4, 81.3, 83.4, 
##     85.9, 89, 92.3, 95.6, 99.3, 111, 120, 124, 128, 132, 144, 
##     152, 158, 161, 165, 166, 165, 159, 155, 154, 151, 149, 143, 
##     123, 118, 109, 94.8, 76.2, 74.1, 72, 70, 67.2, 66.2, 66.5, 
##     67, 70.7, 71.7, 78.9, 82.3, 89.3, 107, 118, 138, 142, 152, 
##     155, 158, 161, 164, 165, 163, 162, 161, 159, 157, 155, 147, 
##     141, 137, 129, 121, 154, 157, 162, 161, 160, 156, 155, 152, 
##     149, 146, 143, 135, 128, 125, 121, 116, 107, 99.1, 94.3, 
##     91.4, 70.6, 68.6, 68.6, 69.8, 70.4, 71.6, 72.5, 73.7, 75.1, 
##     79.6, 82.7, 85.6, 88.7, 92.4, 106, 110, 115, 124, 140, 144, 
##     160, 161, 162, 164, 164, 163, 155, 152, 126, 111, 108, 105, 
##     101, 98.1, 95.7, 84.3, 79.4, 74.9, 72, 70.5, 70.8, 71.1, 
##     72.3, 74.6, 76.1, 77.6, 79.4, 81.4, 112, 117, 121, 126, 130, 
##     135, 139, 148, 152, 165, 167, 168, 169, 169, 168, 167, 164, 
##     148, 144, 124, 120, 115, 108, 97.8, 95.2, 92.8, 90.1, 78.7, 
##     73.4, 72.5, 70.9, 70.4, 71.5, 74.5, 75.8, 79.4, 83.7, 86.6, 
##     101, 124, 142, 150, 153, 156, 158, 159, 160, 161, 161, 160, 
##     158, 156, 151, 147, 137, 132, 120, 116, 112, 108, 93, 90.8, 
##     85.8, 80.4, 73.3, 70.6, 71.2, 76.5, 77.9, 81.2, 92.7, 95.9, 
##     117, 133, 139, 149, 166, 170, 165, 159, 141, 130, 126, 105, 
##     102, 98.3, 96.3, 93.4, 74.2, 72.3, 70.7, 69.4, 69.7, 70.3, 
##     71.4, 74.4, 76.1, 87.3, 91, 99.6, 108, 121, 131, 152, 156, 
##     167, 165, 164, 162, 159, 149, 141, 138, 133, 128, 124, 120, 
##     110, 106, 103, 100, 96.6, 90.4, 87.7, 79.5, 77.3, 71.8, 71.5, 
##     76.7, 78.3, 82.5, 85.5, 92.5, 96, 100, 104, 108, 112, 124, 
##     128, 143, 150, 153, 160, 160, 159, 157, 154, 152, 145, 139, 
##     133, 127, 125, 112, 106, 93.9, 90.7, 88.7, 88.7, 86.8, 86.8, 
##     82.3, 80, 70.5, 70.7, 71.7, 75.2, 76.1, 78.2, 79.1, 79.9, 
##     80.7, 81.4, 82.1, 83.6, 84, 84.3, 84.5, 84.6, 84.6, 84.5, 
##     84.5, 84.1, 84, 84.2, 84.8, 84.9, 85.6, 86.3, 86.8, 87.3, 
##     87.3, 87.3, 87.4, 87.5, 87.4, 87.5, 87.5, 87.9, 88.1, 88.5, 
##     89, 89.1, 89.7, 89.7, 89.8, 89.8, 89.8, 90.1, 90.7, 90.9, 
##     91, 91.1, 91.6, 92.2, 96, 99.4, 101, 107, 113, 116, 120, 
##     120, 120, 120, 124, 128, 128, 133, 139, 144, 160, 173, -173, 
##     -167, -161, -154, -135, -112, -113, -117, -122, -132, -179, 
##     170, 145, 138, 127, 108, 103, 99.4, 88.4, 80.3, 73.6, 71, 
##     68, 67.4, 67.6, 69.6, 75.4, 81.3, 85.3, 89.9, 94.3, 99.6, 
##     121, 132, 139, 152, 170, 177, -176, -164, -157, -150, -114, 
##     -115, -117, -135, -153, -168, -175, 159, 105, 94.4, 84.4, 
##     80.4, 77.1, 68, 68.1, 68.9, 75.6, 77.3, 83, 84.3, 86, 87, 
##     87.4, 87.4, 87.4, 87.1, 87, 86.8, 86.5, 86.4, 86.3, 86.5, 
##     87.2, 87.7, 87.9, 88.2, 88.5, 88.9, 89, 89.4, 89.7, 89.8, 
##     90, 90.3, 90.5, 90.7, 90.8, 90.8, 90.8, 90.8, 90.8, 91, 91.2, 
##     91.4, 91.5, 91.7, 91.7, 94.2, 94.5, 94.8, 95.2, 95.5, 96.2, 
##     97, 98, 99, 101, 102, 104, 105, 107, 108, 110, 112, 113, 
##     116, 123, 126, 128, 141, 145, 147, 148, 148, 146, 143, 143, 
##     144, 145, 144, 142, 127, 126, 125, 126, 126, 127, 128, 127, 
##     129, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 
##     127, 127, 127, 127, 127, 126, 127, 127, 127, 127, 127, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, -154, -144, -130, -121, -113, -106, 
##     -95.6, -92.4, -87.6, -85.1, -80.2, -77.3, -75.3, -73.1, -71.5, 
##     -70.1, -70, -70, -176, -178, 180, 178, 168, 157, 155, 152, 
##     150, 148, 146, 142, 137, 132, 131, 130, 130, 130, 131, 131, 
##     132, 133, 135, 138, 147, 149, 165, 172, -180, -141, -138, 
##     -134, -122, -115, -111, -104, -92.1, -88.7, -74.3, -72.2, 
##     -68.2, -66.5, -64.6, -63.2, -61.5, -58.8, -57.9, -56.6, -56.8, 
##     -57.1, -56.7, -56.9, -57, -57.1, -57.2, -57.5, -58.1, -58.8, 
##     -59.6, -60.6, -61.8, -63.2, -66.3, -71.8, -74, -79.4, -82.3, 
##     -85.3, -88.7, -91.8, -108, -112, -127, -133, -162, -166, 
##     179, 175, 173, 167, 165, 163, 159, 156, 149, 145, 136, 130, 
##     126, 119, 116, 116, 116, 116, 117, 118, 121, 122, 123, 124, 
##     126, 127, 129, 131, 132, 136, 138, 144, 146, 149, 151, 154, 
##     -177, -172, -168, -163, -158, -139, -131, -126, -118, -114, 
##     -110, -106, -103, -99.2, -90.3, -85.4, -83.2, -75.5, -73.1, 
##     -72.1, -70.8, -70.4, -68.9, -69, -69.4, -71.6, -74.8, -75.6, 
##     -76.6, -78.6, -79.6, -81.7, -82.6, -85.4, -86.5, -89.6, -91.3, 
##     -93.2, -95.2, -97, -99.2, -104, -107, -110, -113, -116, -126, 
##     -140, -144, -149, -151, -154, -156, -160, -162, -163, -161, 
##     -160, -159, -59.8, -56.7, -56.6, -56.6, -57.1, -58.2, -59.7, 
##     -60.5, -61.5, -62.5, -63.6, -65, -68.1, -69.8, -75.8, -82.3, 
##     -84.6, -86.9, -98, -104, -107, -123, -126, -132, -112, -94.9, 
##     -92.7, -88.5, -86.5, -83, -77.1, -73.8, -71.7, -69.6, -59.4, 
##     -56.7, -55.5, -54.4, -53.2, -52, -51, -50, -48.9, -47.8, 
##     -45.2, -44.7, -44.4, -43.9, -43.4, -44.3, -45.9, -46.8, -48.1, 
##     -50.7, -56.3, -58.5, -63.3, -68.7, -84.7, -90.5, -93.1, -96, 
##     -98.5, -104, -107, -118, -123, -126, -132, -134, -139, -141, 
##     -143, -145, -145, -143, -139, -138, -137, -135, -131, -129, 
##     -117, -114, -95.4, -92.8, -86.7, -83.8, -78.3, -70.9, -65.7, 
##     -61.7, -50.1, -48.6, -43.8, -42.3, -41.1, -40.8, -40.5, -39.7, 
##     -39.3, -39.1, -38.7, -38.5, -38.2, -38.2, -38.2, -38.6, -39.1, 
##     -42.7, -45.2, -46.6, -48, -51.8, -58.7, -63.8, -69.1, -72.1, 
##     -74.8, -78.1, -81, -87.6, -94.1, -97.6, -111, -114, -121, 
##     -136, -138, -141, -146, -147, -149, -150, -151, -153, -151, 
##     -150, -150, -149, -146, -145, -141, -136, -132, -110, -107, 
##     -100, -84.2, -78.4, -72.7, -61.6, -57.6, -55.4, -51.8, -48.4, 
##     -44.9, -38.5, -37.9, -37.4, -37.3, -135, -136, -138, -140, 
##     -141, -145, -146, -150, -152, -153, -153, -153, -152, -151, 
##     -146, -144, -140, -136, -106, -90, -80.2, -71, -68.7, -78.5, 
##     -83.1, -92.1, -97.2, -117, -120, -123, -128, -132, -134, 
##     -136, -141, -142, -142, -143, -143, -144, -144, -144, -143, 
##     -142, -141, -137, -136, -135, -133, -126, -98.3, -95.2, -91.7, 
##     -89.1, -86.1, -83.3, -79.8, -68.6, -58.3, -55.1, -51.9, -47.2, 
##     -44.1, -38.4, -35.4, -33.6, -33, -31.7, -31.3, -30.2, -30.1, 
##     -29.9, -29.8, -29.7, -29.7, -30.2, -30.7, -31.2, -34.1, -64.3, 
##     -61.6, -57.1, -50.6, -45.6, -44.3, -43.1, -40.4, -39.7, -38.7, 
##     -35.5, -35.1, -35.9, -36.5, -37.9, -38.7, -39.7, -44.4, -66.4, 
##     -37.4, -37.9, -39.3, -41.4, -47.6, -53.3, -55.3, -62, -70.2, 
##     -72.9, -76.3, -80, -83.4, -87.4, -94.5, -102, -111, -113, 
##     -116, -119, -121, -124, -128, -134, -138, -146, -147, -149, 
##     -151, -152, -152, -152, -151, -149, -146, -142, -135, -132, 
##     -127, -124, -121, -115, -152, -149, -148, -146, -144, -141, 
##     -134, -123, -120, -117, -108, -105, -103, -99.9, -94.3, -91.7, 
##     -80.6, -74.3, -72.8, -68, -64.3, -61.2, -60.5, -71.7, -72.2, 
##     -72.8, -73.5, -75.1, -75.9, -76.8, -77.8, -79.1, -87.1, -89.4, 
##     -91.5, -94.2, -96.6, -105, -108, -115, -119, -127, -131, 
##     -145, -149, -157, -161, -170, -173, 140, 139, 138, 138, 137, 
##     137, 136, 135, 135, 135, 135, 132, 132, 132, 131, 131, 131, 
##     131, 130, 128, 127, 91.8, 92.2, 92.3, 92.4, 92.5, 92.6, 92.6, 
##     92.6, 92.6, 92.6, 92.6, 92.6, 92.6, 92.5, 92.6, 92.8, 92.9, 
##     92.9, 93.2, 93.5, 97.2, 92.1, 85.8, 83.1, 80.2, 71, 66.4, 
##     65, 64.4, 64.4, 64.4, 71.6, 88.9, 97.5, 107, 117, 123, 142, 
##     146, 150, 16.7, 25.1, 35.1, 49.4, 54.9, 64, 68.7, 72.8, 77.3, 
##     84.8, 88.5, 102, 105, 110, 114, 115, 116, 116, 24.8, 13.6, 
##     4.01, 0.2, -3.88, -18.1, -20.2, -23.2, -24, -24.4, -23.9, 
##     -19.7, -9.86, -7.05, -1.96, 0.95, 4.48, 7.56, 10.5, 18, 24.7, 
##     29.1, 41.7, 46.6, 55.5, 59.9, 39.4, 34.1, 21.7, 16.5, 6.14, 
##     1.29, -3.4, -10.5, -14.8, -16, -17, -17.4, -16.8, -15.5, 
##     -13.7, -10.5, -5.77, 9.58, 12.7, 20.7, 24.2, 28.3, 41.4, 
##     45.4, 49.7, 54.4, 78.9, 86.7, 95.9, -176, 180, 172, 170, 
##     163, 151, 134, 126, 118, 109, 103, 98.9, 96.3, 95, 92.3, 
##     91.8, 91.6, 91.7, 91.9, 92, 92.1, 95.7, 93.8, 92.2, 89, 88.2, 
##     87.4, 86.9, 87.6, 88.1, 90.2, 91, 94.4, 102, 104, 105, 110, 
##     114, 117, 120, 123, 126, 132, 145, 148, 151, 161, 171, 174, 
##     -178, -177, -176, 114, 109, 105, 102, 99.4, 96.8, 95.4, 92.9, 
##     91.5, 86.6, 85.9, 85.7, 85.8, 86, 86.5, 87.2, 88, 88.5, 89.6, 
##     90.4, 91.5, 92.8, 105, 116, 114, 110, 107, 103, 101, 99.7, 
##     96.9, 95.8, 94.7, 93.1, 92.5, 92.6, 92.7, 94.2, 94.9, 95.6, 
##     101, 103, 111, 123, 130, 148, 151, 158, 162, 164, 168, 169, 
##     170, 169, 169, 166, 164, 161, 160, 153, 147, 136, 133, 130, 
##     123, 135, 144, -149, -142, -140, -140, -141, -147, -152, 
##     -158, -165, -174, 168, 160, 153, 146, 141, 131, 118, 112, 
##     109, 107, 105, 103, 101, 99.3, 98.2, 97.1, 94.8, 93.5, 106, 
##     106, 106, 107, 109, 109, 109, 109, 109, 109, 109, 109, 108, 
##     108, 108, 108, 108, 108, 107, 107, 107, 107, -106, -109, 
##     -112, -133, -138, -147, -152, -163, -170, -177, 157, 140, 
##     131, 128, 125, 122, 120, 119, 115, 116, 118, 124, 127, 146, 
##     153, 160, 180, -173, -160, -155, -149, -137, -123, -118, 
##     -115, -99.7, -99.5, -101, -102, -105, -113, -116, -119, -123, 
##     -131, -135, -149, -174, 173, 139, 129, 125, 113, 111, 110, 
##     110, 110, 111, 113, 115, 116, 121, 124, 128, 159, 166, -170, 
##     -162, -155, -149, -143, -139, 118, 119, 122, 131, 135, 140, 
##     145, 167, -172, -160, -140, -136, -132, -114, -104, -104, 
##     -105, -106, -109, -115, -126, -130, -150, -155, -174, 180, 
##     173, 159, 152, 145, 138, 127, 116, 113, 107, 105, 102, 101, 
##     101, 102, 103, 104, 108, 111, 113, 116, 119, 128, 138, 157, 
##     -172, -156, -139, -134, -130, -125, -118, -113, -110, -103, 
##     -97.6, -95.7, -95.2, -96.3, -100, -103, -106, -111, -114, 
##     -121, -128, -133, -142, -148, 93, 98.9, 101, 105, 107, 111, 
##     114, 123, 126, 129, 132, 135, 138, 141, 147, 164, -178, -176, 
##     -174, -169, -178, 144, 136, 127, 119, 113, 108, 106, 99.2, 
##     96.5, 95.7, 95.1, 94.6, 92.9, 90.4, 88.9, 88.1, 87.6, 87, 
##     87.2, 87.4, 87.8, 88, 88.3, 88.7, 89.8, 92.4, 96.6, 98.1, 
##     101, 103, 109, 113, 117, 128, 134, 139, 146, 102, 97.2, 95.9, 
##     93.4, 90.5, 88.2, 86.9, 85.3, 85.1, 85.3, 86.5, 87, 87.3, 
##     87.5, 87.8, 88.1, 88.9, 90, 93.4, 94.9, 96.5, 98, 99.1, 100, 
##     103, 114, 124, 140, 154, 159, 162, 163, 163, 162, 161, 158, 
##     157, 156, 157, 158, 159, 160, 162, 168, -178, -165, -150, 
##     -135, -130, -126, -120, -119, -118, -119, -132, -140, -155, 
##     -166, -174, 171, 165, 159, 153, 136, 135, 135, 135, 135, 
##     134, 135, 135, 136, 136, 137, 138, -132, -171, 173, 151, 
##     147, 143, 140, 134, 124, 122, 120, 120, 120, 120, 120, 119, 
##     119, 120, 121, 122, 125, 126, 128, 132, 135, 138, 146, 157, 
##     164, 178, -167, -161, -154, -137, -133, -125, -121, -116, 
##     -122, -127, -139, -162, -168, 178, 170, 152, 139, 136, 131, 
##     126, 126, 125, 125, 125, 126, 127, 128, 128, 129, 132, 136, 
##     138, 141, 144, 147, 151, 156, 167, 173, -151, -144, -126, 
##     -121, 128, 129, 133, 136, 142, 146, 150, 159, 164, 169, 175, 
##     -179, -167, -161, -149, -138, -134, -129, -126, -123, -120, 
##     -116, -117, -117, -127, -135, -140, -145, -151, 178, 171, 
##     165, 154, 146, 142, 138, 134, 126, 124, 122, 121, 121, 121, 
##     122, 123, 123, 124, 125, 125, 126, 130, 134, 141, 147, 150, 
##     154, 164, -178, -172, -165, 126, 125, 125, 125, 124, 124, 
##     125, 125, 127, 127, 128, 131, 134, 136, 142, 149, 161, -174, 
##     -169, -158, -153, -144, -139, -135, -127, -105, -104, -105, 
##     -107, -115, -120, -127, -131, -140, -151, -158, -166, -173, 
##     -179, 164, 158, 149, 146, 144, 140, 138, 136, 134, 133, 132, 
##     132, 132, 132, 132, 133, 135, 138, 141, 146, 149, 153, 157, 
##     161, 166, 177, -171, -160, -128, -115, -112, -108, -103, 
##     -101, -103, -104, -107, -110, -113, -116, -124, -128, -159, 
##     162, 138, 125, 123, 123, 124, 125, 126, 128, 129, 131, 142, 
##     149, 162, 172, 178, -176, -169, -163, -157, -146, -141, -136, 
##     -131, -127, -116, -114, -112, -112, -127, -132, -142, -147, 
##     176, -114, -118, -121, -129, -132, -144, -146, -151, -152, 
##     -154, -157, -159, -161, -161, -160, -160, -93.3, -109, -113, 
##     -130, -137, -144, -147, -149, -151, -158, -160, -161, -163, 
##     -165, -165, -164, -160, -159, -158, -156, -155, -152, -150, 
##     -148, -139, -129, -111, -107, -99.8, -95.7, -92.5, -89.1, 
##     -82.6, -72.2, -69.3, -66.2, -60.6, -54.4, -51.9, -50.6, -52, 
##     -56.1, -64.3, -69.8, -73.3, -76.9, -81.3, -104, -108, -113, 
##     -116, -120, -123, -130, -133, -135, -139, -143, -145, -148, 
##     -149, -151, -153, -154, -157, -158, -158, -160, -161, -161, 
##     -161, -160, -160, -159, -158, -156, -153, -152, -149, -143, 
##     -139, -136, -133, -131, -110, -103, -83.3, -79.4, -73.1, 
##     -66.9, -61.4, -127, -112, -103, -97, -91, -80.7, -64.7, -60.9, 
##     -53.8, -49.4, -45.7, -43.2, -38.7, -31.8, -30.6, -28.6, -30, 
##     -30.9, -33.4, -35, -36.9, -43.5, -47.2, -52, -63.7, -70.7, 
##     -92.1, -113, -121, -124, -127, -129, -132, -134, -135, -137, 
##     -142, -143, -147, -149, -151, -154, -154, -154, -153, -153, 
##     -152, -152, -151, -148, -146, -141, -139, -125, -122, -118, 
##     -107, -99.9, -71.4, -49.2, -44.9, -41.4, -37.7, -34.8, -31.8, 
##     -26.4, -24.1, -22.4, -20.3, -19.8, -19.8, -19.7, -19.9, -23.3, 
##     -24.9, -28.4, -36.2, -45.6, -69.7, -90, -127, -130, -132, 
##     -133, -135, -136, -138, -139, -140, -143, -144, -145, -145, 
##     -146, -149, -150, -150, -150, -151, -151, -151, -151, -150, 
##     -150, -150, -149, -148, -142, -141, -129, -113, -107, -92.9, 
##     -76.3, -66.2, -30.3, -16.3, -13.2, -6.6, -5.63, -2.88, -0.23, 
##     0.36, 0.67, 0.48, 0.08, -2.14, -6.64, -12.6, -16.9, -33.2, 
##     -68.5, -79.8, -97.9, -148, -147, -144, -143, -137, -132, 
##     -76.3, -56.8, -37.4, -22.5, -0.51, 7.19, 15.6, 16.3, 16.5, 
##     16.2, 16.8, 17.1, 17.4, 17.8, 18.2, 17.5, 16, 15.3, 14.8, 
##     -31, -86.6, -152, -151, -149, -144, -144, -144, -145, -145, 
##     -145, -144, -143, -143, -142, -142, -143, -144, -145, -145, 
##     -145, -143, -142, -141, -141, -140, -139, -140, -141, -139, 
##     -138, -134, -129, -36.2, 7.81, 27.3, 37.7, 28, 22.9, 18.1, 
##     13.9, -5.09, -9.18, -14.7, -16.9, -20.9, -21.3, -21, -18.9, 
##     -16.2, -12.6, -8.14, -0.25, 5.05, 17.7, 29.5, 42.7, 50.3, 
##     54.9, 66.8, 75.1, 79.3, 83.2, 86.9, 90.8, 94.9, 98.5, 108, 
##     110, 115, 117, 118, 117, 117, 114, 113, 111, 108, 105, 99.3, 
##     96.1, 89.1, 85.9, 82.3, 71.7, 67.7, 47.4, 42.6, 27.6, 15.8, 
##     10.5, 0.81, -4.55, -8.58, -17.4, -19, -20.3, -21.1, -21.5, 
##     -21.5, -20.6, -17.3, -13.6, 4.12, 14.6, 19.4, 23.9, 44.6, 
##     52.7, 56.9, 61.6, 66, 70.9, 78.2, 81.7, 87.4, 89.7, 94.5, 
##     97.2, 99.8, 105, 110, 113, 115, 116, 116, 116, 117, 117, 
##     117, 117, 117, 117, 117, 117, 116, 116, 115, 111, 104, 99.3, 
##     -14.5, -9.48, 1.61, 12.5, 23.4, 56.8, 63.3, 84.2, 91, 118, 
##     120, 121, 126, 126, 123, 121, 118, 115, 112, 102, 97.5, 87.7, 
##     77.3, 54.7, 48.6, 42.9, 21.9, 14.7, 7.12, -6.93, -14, -20.2, 
##     -26.4, -42.9, -56.4, -75.9, -77.9, -79.1, -79.5, -79.1, -77.8, 
##     -75.5, -73, -69.6, -62.5, -58.3, -38.2, -15.6, -10.2, -5.53, 
##     0.19, 8.68, 13.8, 24.6, 30.9, 36.2, 41.9, 48, 65.2, 70.1, 
##     80.4, 91.6, 109, 116, 123, 124, 124, 124, 123, 121, 120, 
##     115, 111, 103, 98.6, 94.6, 89.2, 84.4, 74.2, 68.2, 43.5, 
##     21.5, 13.7, 6.04, -9.45, -16.6, -23.9, -30.6, -68.8, -75.9, 
##     -85.7, -87.6, -87.9, -86.3, -84, -81, -77.9, -74.5, -71, 
##     -58.5, -32.2, -26.3, -20.5, -14.4, 7.2, 12.7, 23.4, 29.7, 
##     62.3, 68.8, 101, 107, 111, 121, 122, 124, 127, 126, 119, 
##     117, 111, 107, 103, 98.4, 93.7, 88.4, 65.4, 46.6, 39, 24.5, 
##     8.15, 0.08, -6.89, -28.2, -35, -40.8, -52.3, -70.7, -78, 
##     -81.2, -86.8, -87.4, -86.5, -84.4, -75.2, -58.9, -39.4, -33.6, 
##     -22.2, -11.4, -5.93, -0.88, 4.18, 19.7, 25.2, 31.4, 37.2, 
##     43.1, 49.6, 67.4, 73, 77.6, 82.4, 91.5, 95.9, 104, 111, 114, 
##     118, 121, 122, 124, 125, 124, 123, 112, 91.2, 86.6, 67.8, 
##     62.7, 57.9, 51.8, 31.9, 16.7, 1.59, -20.3, -34.5, -61.8, 
##     -65.8, -69, -71.8, -76.5, -76, -74.1, -68.7, -54.6, -50.1, 
##     -40.9, -26.7, -16.9, -11.8, -1.33, 4.17, 14.2, 61.1, 66.1, 
##     83, 88.4, 99.9, 106, 115, 121, 125, 127, 128, 128, 129, 128, 
##     127, 126, 124, 110, 107, 98.6, 73.6, 67.8, 55.4, 49.6, 42.8, 
##     35.8, 14, 6.75, -0.59, -20.9, -38.1, -43.8, -57.7, -65.3, 
##     -69, -71.9, -74.9, -77.6, -77.2, -73.6, -71.2, -68, -65, 
##     -61.2, -40, -34.9, -25.2, -19.8, -3.07, 2.99, 8.63, 14.1, 
##     20.8, 27.5, 46.2, 64.1, 69.4, 81.7, 107, 112, 123, 124, 125, 
##     128, 127, 126, 119, 116, 113, 106, 97, 92.1, 86.6, 81.3, 
##     69.9, 52, 45.5, 38.9, 32.6, 4.56, -2.08, -9.14, -28.9, -35.1, 
##     -46.3, -51.6, -56.2, -65.6, -74.4, -78.5, -82.4, -85.3, -76.3, 
##     -72.9, -69.2, -65.8, -61.2, -56.4, -52, -47.5, -31.7, -25.9, 
##     -20.5, -9.64, -4.59, 15.1, 20.5, 32.3, 38, 43.7, 55.5, 61.2, 
##     90.2, 101, 115, 118, 120, 125, 127, 127, 123, 119, 113, 110, 
##     91.9, -81, -70.1, -66.2, -53.5, -48.6, -34.1, -19.9, -15.4, 
##     -11.1, 12.2, 19.9, 28.1, 32.6, 37.2, 46.3, 66.3, 70.8, 76, 
##     80.4, 85.4, -139, -141, -151, -156, -167, -174, 137, 131, 
##     105, 101, 86.9, 84.2, 83.5, 83.6, 86, 88.8, 92.2, 94.4, 99.6, 
##     103, 111, 124, 133, 156, 163, 170, 179, -163, -148, -144, 
##     -141, -137, -134, -127, -126, -126, -126, -128, -157, -173, 
##     179, 152, 146, 133, 128, 124, 120, 110, 107, 105, 103, 101, 
##     98.5, 95.8, 92.6, 89.8, 89.4, 89.8, 90, 90.3, 91.2, 91.7, 
##     92.8, 93.9, 94.3, 94.4, 94.6, 94.8, 95.1, 95.2, 95.6, 95.9, 
##     96.1, 96.3, 96.7, 97.6, 98, 98.7, 99, 99.3, 99.6, 99.9, 101, 
##     101, 101, 101, 102, 102, 103, 105, 106, 108, 109, 112, 117, 
##     128, 130, 137, 141, 154, 159, 165, 170, 176, -173, -167, 
##     -147, -142, -118, -115, -111, -104, -101, -98.6, -96.6, -95.4, 
##     -95, -95.1, -105, -119, -122, -126, -142, -157, -171, -176, 
##     179, 169, 159, 149, 147, 142, 142, 143, 147, 152, 156, 163, 
##     172, -168, -158, -139, -131, -126, -122, -116, -113, -109, 
##     -108, -108, -118, -124, -130, -145, -153, -177, 162, 156, 
##     150, 145, 139, 131, 122, 120, 118, 112, 112, 112, 112, 114, 
##     121, 125, 128, 138, 142, 151, 156, 180, -162, -158, -147, 
##     -141, -129, -121, -118, -116, -111, -114, -121, -145, -158, 
##     -162, -166, -177, 177, 169, 151, 121, 117, 115, 112, 108, 
##     106, 106, 105, 105, 106, 108, 110, 112, 114, 116, 122, 129, 
##     143, 170, 176, -179, -168, -158, -150, -145, -133, -126, 
##     -112, -107, -108, -112, -116, -130, -133, -169, -164, -158, 
##     -152, -147, -142, -138, -129, -125, -122, -118, -116, -114, 
##     -112, -103, -103, -103, -110, -113, -119, -125, -132, -144, 
##     -148, -163, -173, 175, 163, 141, 136, 133, 128, 127, 126, 
##     126, 126, 130, 135, 138, 161, 166, 172, -160, -145, -136, 
##     -116, -112, -107, -105, -103, -99.7, -99.3, -100, -102, -104, 
##     127, 127, 127, 131, 135, 138, 159, 168, 178, -158, -149, 
##     -147, -147, -149, -152, -156, -159, -167, -176, 170, 140, 
##     136, 133, 125, 124, 120, 119, 121, 122, 124, 129, 137, 137, 
##     141, 148, 162, 170, -178, -173, -167, -162, -151, -154, -163, 
##     -166, -171, 177, 164, 153, 145, 140, 133, 126, 123, 119, 
##     117, 117, 116, 116, 116, 117, 118, 119, 120, 127, 135, 160, 
##     164, 164, 169, 169, 178, 178, -178, -173, -156, -153, -151, 
##     -151, -162, 164, 159, 150, 146, 140, 135, 126, 116, 110, 
##     109, 110, 110, 114, 115, 117, 123, 135, 143, 115, 115, 116, 
##     116, 116, 116, 117, 121, 128, 131, 138, 147, 156, 167, 172, 
##     -178, -178, -178, -178, -168, -163, -159, -154, -150, -147, 
##     -147, -149, 147, 151, 151, 151, 162, 167, 177, -173, -155, 
##     -149, -142, -141, -146, -149, -152, -161, -169, -180, 171, 
##     165, 159, 155, 148, 143, 140, 133, 123, 121, 121, 118, 120, 
##     122, 124, 126, 133, 137, 145, 154, 160, 164, -179, -156, 
##     -149, -142, -137, -133, -134, -134, -136, -142, -146, -160, 
##     179, 156, 135, 132, 128, 124, 122, 119, 117, 114, 113, 112, 
##     111, 112, 113, 115, 117, 128, 140, 172, 176, -179, -170, 
##     -162, -154, -151, -148, -148, -148, -148, -148, -146, -146, 
##     -146, -149, -151, -161, -164, -173, 177, 174, 156, 151, 133, 
##     131, 125, 121, 121, 120, 121, 122, 125, 135, 139, 150, 154, 
##     158, 179, -177, -169, -150, -150, -152, -155, -157, -159, 
##     -162, -166, -169, -173, 177, 172, 168, 168, 159, 155, 144, 
##     134, 130, 116, 114, 113, 112, 113, 115, 116, 118, 120, 125, 
##     129, 133, 141, 169, 180, -175, -171, -159, -149, -140, 128, 
##     128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 
##     128, 128, 129, 129, 129, 129, 130, 130, 130, 130, 130, 130, 
##     129, 129, 129, 129, 129, 128, 128, 129, 129, 129, 129, 129, 
##     129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 130, 130, 
##     130, 130, 130, 130, 130, 130, 129, 129, 129, 129, 129, 129, 
##     129, 129, 129, 129, 129, 128, 129, 128, 128, 128, 128, 128, 
##     128, 128, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
##     129, 129, 129, 129, 129, 128, 128, 128, 127, 127, 127, 126, 
##     125, 124, 123, 123, 123, 123, 123, 122, 122, 122, 122, 122, 
##     122, 123, 124, 124, 125, 125, 126, 129, 130, 133, 135, 137, 
##     137, 136, 135, 135, 135, 134, 133, 132, 132, 127, 126, 126, 
##     126, 126, 126, 126, 126, 126, 125, 125, 125, 125, 125, 125, 
##     125, 126, 126, 126, 126, 126, 126, 126, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42.8, -47.5, 
##     -52.4, -57.4, -69.3, -79.9, -87.4, -112, -118, -120, -126, 
##     -137, -141, -143, -144, -144, -143, -142, -139, -138, -136, 
##     -134, -130, -124, -122, -113, -110, -35.1, -35.7, -36.1, 
##     -36.8, -37.5, -38.3, -39.2, -43.8, -45.5, -47.4, -49.2, -50.8, 
##     -52.9, -55.2, -60, -65.3, -67.8, -70.9, -77.2, -80.7, -91.2, 
##     -94.9, -105, -110, -115, -128, -129, -133, -132, -131, -128, 
##     -124, -114, -104, -101, -97.6, -94, -63.2, -59.6, -56.4, 
##     -53.7, -51, -47.9, -40, -38.1, -36.3, -34.3, -32.7, -27.2, 
##     -24.4, -23.7, -23.1, -21.8, -21.3, -21.3, -21.4, -21.5, -21.8, 
##     -22.7, -25.6, -26.8, -27.9, -32.6, -41.9, -56.8, -60.6, -64.1, 
##     -68.3, -72.1, -84.4, -95.6, -99.2, -102, -108, -114, -125, 
##     -126, -130, -130, -132, -133, -133, -133, -132, -132, -131, 
##     -129, -126, -125, -116, -111, -108, -105, -103, -17.6, -18.1, 
##     -18.6, -19.3, -20.1, -21.1, -26.1, -27.6, -33.2, -38.1, -43.3, 
##     -46.6, -50.2, -54, -58, -66.4, -75, -79.4, -83.2, -87.1, 
##     -91.3, -104, -110, -112, -115, -119, -120, -123, -126, -129, 
##     -129, -130, -130, -40.2, -35.8, -30.3, -29.4, -28.2, -28.2, 
##     -28.5, -28.9, -29.7, -30.5, -31.6, -33.5, -42.9, -50.3, -54.9, 
##     -59.7, -69.1, -79.3, -96, -99.4, -102, -105, -107, -110, 
##     -110, -110, -109, -109, -109, -110, -111, -127, -133, -136, 
##     -138, -138, -139, -142, -143, -146, -149, -149, -149, -149, 
##     -149, -149, -149, -148, -148, -148, -150, -151, -152, -153, 
##     -154, -155, -156, -157, -159, -160, -161, -161, -162, -162, 
##     -162, -162, -162, -162, -162, -161, -160, -158, -157, -155, 
##     -154, -152, -151, -148, -135, -132, -56.7, -55, -53.3, -53.3, 
##     -55.2, -56.7, -58.1, -60, -64.5, -66.9, -78.5, -117, -126, 
##     -131, -147, -161, -161, -160, -158, -153, -150, -140, -137, 
##     -127, -115, -111, -102, -98.3, -94.7, -85.2, -82.9, -80.8, 
##     -78.1, -75.8, -70.4, -68.4, -68, -68.1, -69.4, -74.4, -76.7, 
##     -84.3, -87.3, -130, -130, -131, -132, -133, -134, -134, -133, 
##     -130, -129, -128, -119, -109, -82.9, -71.3, -68.3, -55.4, 
##     -49.6, -46.1, -101, -77.2, -74.3, -67.2, -62.3, -48.5, -44.4, 
##     -42.3, -35.9, -30.8, -28, -25.7, -24.8, -23.2, -22.3, -20.9, 
##     -20.2, -19.6, -17.6, -17.4, -17.3, -17.4, -106, -102, -98.8, 
##     -94.7, -88.2, -74.9, -71.9, -63.5, -58.5, -56.2, -54, -48.1, 
##     -46.5, -44.9, -42.6, -40.6, -40.1, -39.5, -38.1, -37.7, -37.2, 
##     -36.9, 126, 125, 124, 124, 124, 124, 124, 126, 126, 126, 
##     127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 126, 
##     126, 126, 126, -142, -154, -174, -179, 165, 157, 153, 142, 
##     138, 133, 131, 126, 124, 124, 122, 122, 123, 123, 127, 127, 
##     128, -172, -176, 179, 174, 168, 163, 136, 130, 128, 126, 
##     123, 122, 121, 119, 120, 120, 120, 121, 122, 157, 174, 178, 
##     -177, -171, -160, -155, -151, -151, -151, -152, -152, -152, 
##     -171, 172, 161, 157, 145, 140, 136, 133, 131, 129, 126, 123, 
##     120, 118, 117, 59.7, 41.1, 35.3, 28.1, -34.3, -46.1, -56.2, 
##     -60.6, -83, -84, -82.2, -80, -77.2, -69.3, -46.1, -41.2, 
##     -30.6, -18.9, -2.43, 5.55, 10.3, 15.2, 64.8, 82.2, 94.7, 
##     106, 111, 115, 121, 123, 124, 125, 126, 125, 124, 122, 119, 
##     113, 110, 106, 96.4, 91.6, 86.7, 75.7, 70.7, 113, 106, 97.7, 
##     89.2, 84.3, 79.5, 74.9, 64.8, 59.7, 41.4, 34.2, 27.2, -4.96, 
##     -11.9, -19.5, -27.1, -33.5, -40.4, -46.6, -61.2, -65, -68.9, 
##     -75.8, -76.6, -75.1, -70.9, -68, -56.9, -52.7, -47.8, -42.8, 
##     -20.9, -28.6, -24.1, 1.67, 11.7, 20.3, 25.2, 30.8, 35.8, 
##     40.9, 52.1, 62.4, 67.8, 79.3, 90.2, 94.9, 100, 105, 116, 
##     121, 122, 122, 122, 121, 118, 116, 90.3, 88, 80.1, 73.8, 
##     67.1, 59.8, 56, 51.4, 41.4, 35.7, 29.2, 9.61, -15.2, -21.8, 
##     -27.3, -33.1, -48.8, -53.7, -66.3, -67.5, -66, -58.7, -55, 
##     -51.6, -47.5, -43.2, -159, -152, -146, -139, -134, -122, 
##     -112, -108, -103, -104, -108, -114, -119, -132, -137, -142, 
##     -160, -172, -179, 175, 170, 149, 143, 132, 130, 128, -114, 
##     -111, -109, -117, -121, -136, -140, -146, 169, 163, 149, 
##     141, 134, 124, 120, 118, 118, 117, 117, 117, 117, 117, 118, 
##     140, 149, 153, 156, 160, 163, -180, -170, -164, -147, -125, 
##     -121, -119, -128, 149, 158, 163, 174, 179, -176, -162, -162, 
##     -163, -165, -167, -179, 177, 173, 168, 162, 157, 148, 135, 
##     127, 124, 121, 119, 103, -122, -119, -116, -111, -109, -107, 
##     -103, -102, -102, -102, -105, -108, -110, -114, -118, -126, 
##     -130, -136, -147, -173, 170, 138, 134, 130, 126, 117, 115, 
##     112, 113, 114, -136, -144, -152, -157, -161, -166, -170, 
##     -176, 163, 150, 140, 132, 129, 127, 123, 129, 145, 149, 154, 
##     159, 169, 174, 179, -175, 137, 137, 137, 136, 135, 133, 124, 
##     123, 121, 120, 119, 118, 120, 121, 122, 124, 124, 124, 125, 
##     126, 128, 125, 125, 126, 127, 128, 128, 129, 130, 131, 134, 
##     135, 135, 136, 136, 137, 137, 137, 136, 136, 136, 90.1, 90.1, 
##     90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     163, 125, 121, 118, 113, 111, 109, 107, 106, 102, 94.1, 93.5, 
##     92, 92, 92.3, 92.5, 93, 93.5, 93.6, 93.7, 94, 94.1, 94.3, 
##     94.5, 94.6, 94.7, 94.9, 95.1, 95.2, 96.5, 97.1, 97.6, 98.1, 
##     99.2, 99.6, 99.9, 100, 101, 102, 102, 103, 103, 105, 106, 
##     108, 109, 110, 111, 112, 113, 114, 115, 117, 120, 122, 124, 
##     129, 135, 138, 156, 163, 171, -142, -132, -125, -117, -111, 
##     -90.1, -85.7, -82.2, -78.5, -75.3, -72, -65.7, -58.8, -55.5, 
##     -52.4, -49.5, -45.5, -44.8, -44.7, -45.1, -45.9, -49.6, -50.5, 
##     -51.6, -54.4, -56.1, -58, -62.6, -68, -80.2, -87.5, -96.3, 
##     -113, -143, 175, 137, 130, 123, 117, 108, 105, 102, 98, 95.7, 
##     94.7, 93.4, 92.9, 92.6, 92.6, 93.3, 94.5, 96.3, 98.4, 101, 
##     103, 109, 112, 115, 119, 123, 146, 160, 176, -159, -151, 
##     -143, -130, -117, -112, -106, -101, -95.3, -68, -59.2, -48, 
##     -45.8, -48.1, -49.5, -50.9, -54.2, -55.9, -57.5, -59.3, -63.7, 
##     -72.7, -79.2, -115, -123, -132, -144, -154, -165, -175, 176, 
##     160, 145, 135, 131, 126, 119, 116, 113, 109, 108, 108, 108, 
##     110, 111, -74.9, -78.5, -91.2, -101, -136, -167, 167, 152, 
##     146, 139, 133, 114, 107, 104, 101, 101, 102, 103, 111, 117, 
##     130, 147, -170, -140, -118, -111, -105, -98.6, -54.2, -50.4, 
##     -52.4, -57.4, -63.1, -72.4, -80.2, -84.2, -88.9, -99, -111, 
##     -117, -125, -141, -152, -180, 172, 164, 151, 145, 140, 135, 
##     131, 127, 124, 114, 113, 115, 118, 120, 128, 148, 153, 158, 
##     164, 176, -178, -172, -152, -146, -140, -117, -94.2, -83.4, 
##     -78, -72.7, -59.4, -56.5, -54.2, -55.3, -58.7, -62.7, -67.8, 
##     -77.1, -89.3, -93.7, -99.1, -105, -111, -117, -123, -133, 
##     -127, -120, -115, -104, -98.9, -95.1, -91.4, -88.2, -85.4, 
##     -82.8, -80.3, -73.8, -74.4, -75.5, -77, -78.9, -81.3, -83.9, 
##     -87, -90.1, -93.9, -97.6, -112, -118, -136, -143, -151, -160, 
##     -169, -178, 174, 167, 153, 136, 132, 128, 120, 115, 106, 
##     101, 98.7, 98.4, 98.5, 99.8, 101, 104, 108, 110, 113, 116, 
##     133, 171, -149, -143, -128, -116, -85.6, -80.6, -78.6, -76.7, 
##     -75, -75.6, -76.6, -84.8, -94.6, -99, -108, -114, -133, -148, 
##     171, 146, 133, 127, 108, 102, 93.2, 89.3, 87, 79, 78.6, 79.1, 
##     80.3, 83.5, 85.9, 94.4, 98.1, 102, 111, 126, 137, 143, 149, 
##     155, 161, 174, -173, -161, -156, -95.3, -85.7, -83.3, -81.9, 
##     -81.5, -86.5, -88.9, -91.7, -102, -106, -110, -131, -143, 
##     -149, -156, -163, -172, -180, 174, 153, 141, 134, 129, 120, 
##     116, 113, 110, 106, 103, 97.5, 92.7, 90.6, 89, 91.6, 96.3, 
##     104, 111, 114, 118, 127, 131, 136, 142, 147, 153, 159, -174, 
##     -161, -149, -134, -121, -97.1, -91.8, -79.5, -74, -74.1, 
##     -74.6, -75.5, -78, -83.4, -85.9, -88.4, -91.1, -101, -105, 
##     -110, -114, -119, -123, -129, -140, -161, -169, -177, 138, 
##     124, 120, 113, 109, 106, 103, 95.9, 92.3, 90.8, 87.7, 88.4, 
##     88.8, 89.9, 91.1, 91.5, 91.9, 92.2, 92.4, 92.7, 92.6, 92.5, 
##     92.3, 92.2, 92.3, 92.9, 93.1, 93.4, 95.1, 95.5, 96.5, 97.4, 
##     98, 98.6, 99.4, 100, 103, 104, 106, 107, 109, 111, 112, 115, 
##     119, 121, 122, 122, 123, 123, 123, 124, 124, 124, 124, 124, 
##     125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 
##     125, 124, 123, 121, 118, 117, 114, 159, 154, 132, 126, 125, 
##     124, 122, 122, 121, 123, 124, 125, 126, 128, 129, 131, 133, 
##     135, 138, 141, 144, -167, -160, -125, -112, -109, -116, -141, 
##     -173, 179, 155, 139, 135, 132, 129, 124, 122, 121, 116, 110, 
##     109, 108, 104, 102, 99.3, 97.2, 88.8, 84, 83.8, 83.8, 83.9, 
##     84.2, 84.5, 85.2, 86.8, 88.5, 90.3, 94.7, 95.8, 98.9, 100, 
##     102, 104, 110, 112, 115, 136, 143, 165, 178, -126, -116, 
##     -73.1, -67.8, -64.4, -66.4, -72.4, -75.5, -79.6, -90.9, -101, 
##     -106, -128, -144, -157, 172, 164, 156, 149, 142, 131, 126, 
##     117, 110, 101, 96.9, 95.6, 94, 94, 94.3, 95.4, 96.9, 97.8, 
##     102, 106, 109, 112, 137, 142, 168, 176, -167, -150, -131, 
##     -114, -105, -97.1, -88.2, -73.9, -84.1, -89.2, -94.9, -105, 
##     -128, -173, 177, 147, 142, 135, 28.1, 27.7, 27.3, 27.4, 29.2, 
##     31.8, 32, 32, 32.2, 32.6, 34.3, 36.2, 37.7, 38.2, 38.6, 38.4, 
##     38.7, 85.6, -143, -143, -143, -143, -143, -143, -143, -144, 
##     -142, -142, -140, -140, -141, -141, -141, -142, -138, -138, 
##     -139, -139, -141, -144, -148, -152, -153, -155, -160, 162, 
##     113, 96, 85.3, 77.7, 64.8, 56.6, 51.4, 49.1, 46.4, 45.4, 
##     44.8, 44.6, 44.8, 48.6, 49.2, 49.7, 51, 54.5, 55.4, 56.2, 
##     59.1, 67.4, 84.8, -146, -142, -140, -139, -139, -137, -134, 
##     -132, -131, -130, -130, -130, -130, -130, -131, -131, -128, 
##     -128, -128, -129, -129, -130, -131, -131, -132, -133, -133, 
##     -134, -135, -137, -141, -151, -153, -156, -164, -167, -177, 
##     177, 153, 127, 120, 106, 87.2, 79, 76.9, 71.6, 69.1, 69.4, 
##     69.5, 69.4, 69.9, 69.8, 68.8, 68.2, 68.1, 68, 68, 68.2, 68.4, 
##     68.9, 68.9, 68.8, 69.3, 69.9, 70.3, 70.8, 71.4, 72.5, 73.2, 
##     73.2, 72.6, 72.3, 70.9, 69.6, 67.9, 66.8, 65.7, 64.7, 58.2, 
##     56.9, 55.5, 52.7, 48.8, 47.5, 43.3, 38.6, 37, 35, 28.1, 25.3, 
##     18.2, 14.3, 9.59, 5.26, -0.1, -5.11, -10.8, -17.1, -24.6, 
##     -31.6, -63.3, -71, -77.9, -83.9, -90.2, -114, -123, -132, 
##     -136, -139, -141, -154, -158, -160, -162, -164, -165, -166, 
##     -167, -167, -167, -167, -166, -165, -164, -158, -156, -154, 
##     -151, -149, -144, -141, -137, -134, -122, -117, -107, -96.7, 
##     -91.8, -81.6, -59.6, -56, -50.1, -42.7, -38.2, -32.9, -31.7, 
##     -28.4, -27.5, -27.5, -27.6, -28.1, -28.5, -32.8, -34.4, -41.1, 
##     -45.3, -50.8, -57, -64.4, -68.8, -85.9, -105, -125, -133, 
##     -137, -140, -146, -150, -153, -155, -163, -165, -169, -171, 
##     -172, -176, -177, -178, -179, 178, 178, 177, 176, 176, 175, 
##     176, 176, 177, 179, 180, -179, -176, -167, -159, -150, -134, 
##     -126, -121, -112, -98.1, -93.2, -74.6, -71.2, -63.5, -41.7, 
##     -40.1, -35.8, -34.9, -33.7, -33.4, -33.3, -33.3, -33.6, -34, 
##     -34.6, -36.5, -37.6, -39.3, -45.5, -55.2, -58.6, -67, -72.4, 
##     -77.5, -89.6, -96.4, -103, -109, -125, -130, -142, -148, 
##     -154, -159, -165, -177, 179, 165, 165, 164, 165, 165, 165, 
##     166, 167, 169, 170, 172, 175, 179, -179, -175, -170, -164, 
##     -154, -147, -143, -139, -129, -119, -90.6, -85.9, -75.9, 
##     -71.4, -67.3, -59, -52.6, -49.6, -47, -42.3, -40.4, -39, 
##     -34.9, -33.9, -33, -31.9, -31.7, -32.4, -35, -36.5, -38.2, 
##     -40, -42, -50.6, -57.3, -61.4, -70, -75, -80.6, -91.8, -97.1, 
##     -102, -107, -117, -125, -135, -144, -151, -155, -163, -165, 
##     -167, -169, -170, -171, -178, 179, 175, 175, 174, 170, 169, 
##     169, 170, 170, 171, 171, 176, 177, 178, -180, -176, -175, 
##     -173, -171, -169, -167, -155, -151, -138, -132, -121, -107, 
##     -93.2, -66.1, -58.6, -55.7, -52.8, -49.8, -41.6, -38.6, -36.5, 
##     -36, -35.1, -35.5, -35.8, -36.2, -39.6, -40.9, -46, -48, 
##     -55.4, -61.1, -72.3, -83.6, -90.4, -97, -104, -133, -145, 
##     -149, -153, -161, -165, -168, -170, -173, -180, 177, 174, 
##     172, 171, 170, 168, 167, 167, 166, 166, 166, 167, 169, 170, 
##     171, 172, 174, 175, -38.5, -39.7, -40.3, -41.3, -42.3, -43.6, 
##     -47.2, -49.7, -52, -57.4, -60.2, -63.3, -70.1, -84, -104, 
##     -136, -140, -154, -163, -165, -167, -170, -172, -173, -174, 
##     -179, 176, 174, 173, 172, 170, 169, 168, 168, 168, 168, 169, 
##     169, 170, 172, 175, 177, 179, -179, -175, -168, -164, -147, 
##     -120, -114, -101, -93.9, -71.2, -59.6, -55.5, -51.9, -46.4, 
##     -42.5, -36.3, -34.9, -35.5, -37.4, -38.8, -40.5, -45.3, -48.1, 
##     -68.9, -80.5, -109, -122, -128, -136, -140, -148, -152, -155, 
##     -159, -164, -167, -170, -177, 180, 172, 170, 170, 171, 171, 
##     171, 171, 173, 175, -178, -176, -174, -168, -162, -159, -153, 
##     -145, -114, -110, -104, -85.3, -79.4, -74.4, -64.2, -60.3, 
##     -56.6, -44.4, -41.4, -40.1, -38.9, -36.2, -34.9, -33.8, -32.6, 
##     -32.3, -32.7, -36.5, -38.9, -52.7, -56.4, -60.9, -71.4, -85.5, 
##     -93.1, -102, -126, -135, -149, -151, -153, -155, -160, -162, 
##     -172, -175, -176, 177, 176, 175, 174, 173, 173, 174, 174, 
##     175, 175, 177, -180, -179, -177, -176, -174, -172, -170, 
##     -168, -166, -162, -149, -145, -141, -122, -110, -104, -88.6, 
##     -76.4, -55.8, -52.2, -46.2, -35.5, -32.4, -31.4, -29.7, -28.6, 
##     -27.3, -27.2, -27.5, -27.9, -28.6, -29.6, -32.2, -35.7, -49.8, 
##     -60.5, -66.9, -73.3, -105, -111, -120, -124, -139, -142, 
##     -149, -152, -162, -165, -166, -175, -177, 179, 175, 171, 
##     171, 172, 173, 175, 177, 178, 179, -178, -175, -171, -162, 
##     -160, -157, -153, -150, -142, -122, -114, -106, -99.1, -78.7, 
##     -58.2, -54.7, -51.5, -48.8, -46.1, -36.3, -34.1, -30.2, -28.5, 
##     -24.5, 90, 94.5, 98.6, 103, 109, 111, 113, 115, 117, 118, 
##     120, 121, 121, 119, 118, 117, 117, 115, 115, 115, 115, 116, 
##     116, 117, 117, 118, 118, 118, 120, 120, 120, 121, 121, 121, 
##     121, 121, 121, 121, 120, 119, 117, 116, 113, 111, 106, 103, 
##     100, 97.5, 70.9, 65.2, 60.1, 45.1, 37.1, 21.6, 13.6, -39, 
##     -56.3, -59.9, -62.7, -65.5, -65.5, -51.1, -42.5, -39.5, -36.8, 
##     -34.2, -28.4, -19.3, -7.55, -4.9, -2.02, 3.12, 6.41, 10.8, 
##     15.7, 15.1, 14.3, 7.63, -1.25, -4.53, -12.1, -16.7, -21.3, 
##     -41.9, -52.5, -63.9, -82.6, -85.8, 9.76, -0.43, -6.29, -12.2, 
##     -47.5, -64.9, -69.9, -78, -81.9, -85.5, -88, -89.4, -89, 
##     -87.2, -82.1, -72.1, -61.3, -57.5, -34.4, -26.3, -22.4, -15.8, 
##     -5.85, -2.78, 10.8, 12.8, 15.4, 17.5, 19.6, 21.4, 23.3, 22.9, 
##     22.1, 20.8, 17, 14.2, 10.9, -15.6, -20.8, -25.8, -31.1, -47.4, 
##     -52.4, -62.1, -66.6, -75, -82.6, -89.5, -94.1, -94.8, -93.4, 
##     -88.9, -80.2, -73.5, -66.5, -59.1, -55.2, -39.3, -35.2, -26.9, 
##     -3.3, 4.36, 9.83, 12.9, 15.5, 19.9, 21.6, 23.6, 25, 26.7, 
##     25.8, 24.7, 18.6, 15.8, 5.86, -7.18, -22.1, -44, -54.7, -60.5, 
##     -84, -87.5, -91.5, -95.4, -98.4, -100, -101, -89.6, -86.5, 
##     -83.1, -75.7, -72.1, -60.2, -56.1, -51.7, -47.2, -37.8, -2.48, 
##     1.1, 8.19, 12, 27.5, 35.6, 39.5, 43.9, 54.7, 57.4, 61, 61.5, 
##     61.4, 60.9, 56.8, 54.5, 51.8, 45.5, 41.4, 15.5, 2.72, -10.3, 
##     -17.3, -30.6, -55.2, -61, -80.6, -88.3, -88.9, -83.7, -74.5, 
##     -70.8, -63.3, -55.9, -48.1, -30.9, -26.6, -18.2, -14.5, -11.1, 
##     -4.16, -1.12, 1.85, 13.5, 16.3, 23.5, 34.4, 36.4, 42.6, 42.9, 
##     39.9, 37.9, 28.2, 23.6, 8.08, -15.6, -22.2, -35.2, -40.9, 
##     -53, -58.3, -68.8, -77.4, -81.3, -91.3, -97, -93.4, -90.9, 
##     -84.6, -80.8, -73, -60.3, -46.7, -42.2, -32.8, -28.2, -24.3, 
##     -8.72, -5.53, -1.93, 9.89, 13.1, 15.6, 17.5, 19.4, 21.9, 
##     22.3, 13.9, -22.2, -33.3, 18.9, 19.1, 17.8, 16.7, 13.1, 10.7, 
##     7.56, -8.7, -13.3, -18.7, -29.7, -41.2, -52.6, -67.9, -72.7, 
##     -85.4, -92.1, -95.1, -105, -107, -103, -100, -97.3, -94.2, 
##     -75.1, -70.8, -66.6, -57.4, -52.8, -43.6, -38.7, -30.4, -14.7, 
##     -11, -7.28, -4.04, -0.65, 11.8, 14.6, 24.6, 29.7, 32.1, 32.4, 
##     32.3, 31.7, 30.9, 28.2, 23.1, 20.2, 12.6, 3.05, -2.32, -7.6, 
##     -13.3, -19.2, -24.2, -36, -41.6, -58.3, -82.3, -93.2, -96.6, 
##     -105, -107, -103, -93.5, -82.8, -79.1, -74.9, -66.3, -43.1, 
##     -38.5, -33.8, -29.2, -25.1, -21.6, -14.5, -5.1, -1.94, 5.25, 
##     8.73, 12.7, 22.2, 26.2, 31.4, 46.5, 55.8, 60.5, 64.4, 68.9, 
##     81, 87.8, 91, 94.1, 110, 113, 116, 119, 122, 130, 137, 140, 
##     147, 150, 156, 161, 163, 165, 166, 166, 166, 165, 164, 163, 
##     162, 162, 162, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
##     163, 164, 164, 164, 164, 164, 163, 163, 163, 163, 163, 163, 
##     163, 163, 162, 162, 160, 156, 155, 153, 151, 149, 147, 144, 
##     141, 140, 138, 138, 126, 126, 126, 126, 126, 126, 127, 127, 
##     127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
##     127, 127, 127, 127, 127, 127, 127, 127, 126, 126, 126, 126, 
##     120, 118, 116, 113, 111, 106, 88.7, 88.9, 88.8, 88.6, 88.1, 
##     91, 92.6, 103, 112, 122, 127, 138, 145, -171, -161, -135, 
##     -129, -104, -102, -105, -109, -139, -147, -157, -166, -177, 
##     138, 102, 96.4, 90.6, 75.2, 69.2, 67.4, 66.2, 65.9, 73.1, 
##     80.3, 85, 90.3, 96, 108, 129, 136, 153, 162, 162, 172, -180, 
##     -171, -163, -142, -134, -122, -117, -117, -114, -114, -111, 
##     -111, -111, -113, -117, -121, -126, -139, -169, 159, 150, 
##     134, 127, 122, 114, 95.6, 78.6, 73.9, 63.5, 62.8, 62.9, 64, 
##     65.9, 68, 70.9, 78.8, 101, 123, 130, 153, 160, -178, -171, 
##     -160, -153, -135, -135, -131, -127, -123, -122, -128, -139, 
##     -153, -167, 174, 149, 131, 124, 112, 107, 94.6, 78.7, 69.2, 
##     62.1, 63.1, 64.2, 65.4, 68.7, 71.9, 71.9, 75.5, 80.4, 85.8, 
##     96.9, 109, 135, 142, 156, 169, 176, -143, -137, -133, -131, 
##     -138, -138, -148, -153, -159, -175, 172, 166, 145, 139, 110, 
##     104, 94.8, 75.6, 71.1, 63.2, 61.9, 62.5, 65.2, 77, 85.9, 
##     91.1, 96.9, 109, 148, -168, -162, -162, -151, -147, -142, 
##     -142, -138, -135, -137, -169, 177, 140, 136, 132, 126, 111, 
##     105, 93.9, 88.2, 79.4, 75.8, 68.3, 65.4, 61.3, 61.4, 61.7, 
##     62.4, 64.1, 66.3, 72.2, 76.1, 80.2, 84.8, 103, 109, 116, 
##     122, 122, 128, 141, 147, 164, 169, -180, -168, -162, -162, 
##     -162, -157, -152, -148, -145, -143, -143, -145, -151, -178, 
##     175, 168, 154, 148, 140, 123, 113, 102, 95.9, 81.8, 76.6, 
##     65.5, 63, 61.3, 59.9, 60.2, 61.3, 67, 70.3, 83.5, 95, 114, 
##     120, 134, 140, 153, 159, 177, -161, -154, -138, -135, -134, 
##     -144, -159, -164, -169, 177, 156, 149, 136, 122, 117, 113, 
##     95.4, 73.3, 61.6, 58.9, 57.3, 56.1, 56.7, 58, 61.8, 115, 
##     71.8, 64.1, 61.2, 58.1, 57.8, 58, 60.3, 63.8, 77.2, 86.8, 
##     98.1, 104, 130, 136, 143, 162, 173, -168, -136, -129, -128, 
##     -130, -134, -150, -162, 179, 173, 147, 106, 102, 90.2, 83.7, 
##     79.2, 74.6, 69.2, 66.2, 62.1, 124, 115, 108, 101, 69.8, 60.7, 
##     60.9, 62.4, 64.5, 65.5, 71.9, 73.9, 77.9, 81.1, 83.4, 86.5, 
##     86.6, 86.8, 87.1, 87.2, 87.2, 87.2, 87.3, 87.3, 87.3, 87.6, 
##     87.8, 87.9, 88.1, 88.1, 88.3, 88.4, 88.4, 88.5, 88.5, 88.5, 
##     88.4, 88.5, 88.5, 88.5, 88.6, 88.8, 88.9, 88.8, 88.8, 89, 
##     89, 89, 89.1, 89.1, 89.1, 89.1, 88.9, 89.2, 89.2, 89.2, 89.4, 
##     89.3, 89.3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     177, -163, -146, -128, -119, -112, -97.7, -86.3, -87.2, -99.3, 
##     -108, -122, -126, -131, -137, -149, -174, 178, 170, 160, 
##     155, 132, 117, 111, 99, 94.3, 88.3, 86.6, 88, 88.6, 90.2, 
##     91.3, 116, 124, 125, 103, 99.6, 90.9, 90.1, 89.2, 88.6, 92.6, 
##     98.5, 101, 104, 108, 112, 120, 125, 135, 141, 153, 159, 173, 
##     -173, -151, -145, -139, -133, -115, -110, -104, -93.2, -94.9, 
##     -97.8, -101, -108, -122, -142, -148, -156, -173, 177, 156, 
##     149, 139, 133, 127, 117, 109, 105, 96.5, 93.8, 87.9, 86.9, 
##     86.3, 85.9, 86.8, 87.9, 93.6, 97.6, 109, 113, 132, 149, 155, 
##     160, 166, 179, -175, -160, -143, -134, -126, -119, -112, 
##     -104, -93, -94.4, -97.5, -121, -127, -133, -139, -144, -159, 
##     -169, -178, 167, 160, 143, 138, 133, 118, 108, 104, 95.2, 
##     89.4, 85.6, 85.6, 85.8, 86.2, 86.8, 90.9, 95.9, 137, 132, 
##     127, 122, 117, 108, 99.2, 95.4, 92.3, 90.1, 88.5, 86.6, 87, 
##     87.8, 88.8, 90.1, 91.4, 97.4, 103, 116, 121, 132, 138, 133, 
##     128, 113, 103, 97.7, 92.8, 88.4, 80.8, 80.4, 79.9, 80.2, 
##     80.8, 81.6, 82.4, 83.8, 88.7, 91, 93.5, 96.8, 104, 108, 112, 
##     116, 127, 132, 138, 144, 156, -127, -120, -109, -97.8, -96.9, 
##     -99.8, -103, -120, -130, -140, -168, -177, 176, 160, 146, 
##     140, 128, -101, -115, -133, -157, 167, 161, 154, 147, 141, 
##     128, 110, 94.1, 93, 92.2, 91.7, 93.7, 94.4, 94.9, 95.3, 96.4, 
##     96.6, 97.8, 98, 98, 98.6, 98.9, 99, 99, 99, 99.1, 98.1, 98, 
##     98, 98.3, 98.7, 98.8, 98.9, 99.3, 99.7, 99.8, 89.2, 89.2, 
##     89, 88.9, 88.9, 88.7, 88.7, 88.7, 88.7, 88.7, 88.8, 88.9, 
##     88.9, 89.1, 89.1, 89.4, 90, 91.1, 92.2, 92.6, 92.9, 93.1, 
##     93, 92.9, 92.6, 92.4, 92.1, 91.6, 90.8, 90.6, 90.1, 89.7, 
##     89.6, 89.5, 89.4, 89.4, 89.5, 89.6, 90, 90.1, 90.1, 90, 90.8, 
##     91.1, 91.3, 91.3, 91.5, 91.4, 91.2, 90.9, 177, 179, -179, 
##     -175, -164, -146, -140, -121, -103, -97.1, -83, -65.9, -56.6, 
##     -54.2, -52.1, -50, -48.3, -41.3, -37.5, -37.4, -37.6, 83.4, 
##     83.4, 82.9, 82.8, 82.7, 82.6, 82.6, 82.8, 82.9, 83, 83.2, 
##     83.2, 83.3, 83.4, 83.7, 83.9, 84.3, 84.3, 84.9, 85, 85.1, 
##     85.3, 85.6, 85.8, 86.3, 61.9, 62.6, 64.1, 65.9, 68.7, 71.9, 
##     75.4, 84.2, 126, 155, 175, -178, -178, -172, -165, -144, 
##     -139, -130, -124, -124, -126, -139, -144, -151, -171, -179, 
##     64.8, 68.1, 81.5, 107, 114, 121, 133, 141, 141, 147, 147, 
##     154, 162, 178, -175, -168, -161, -161, -154, -145, -137, 
##     -157, -171, 166, 141, 134, 103, 99.5, 95.1, 93.2, 91.7, 85.4, 
##     83.7, 82.2, 80.9, 77.7, 77.2, 77, 77, 77.1, 77.5, 77.9, 81.4, 
##     82.8, 83.6, 83.6, 84.4, 84.4, 85, 86, 86.6, 87.5, 87.9, 88.1, 
##     88.4, 164, 164, 163, 163, 163, 163, 163, 163, 163, 163, 163, 
##     163, 163, 163, 163, 163, 163, 163, 163, 163, 163, 163, -44.7, 
##     -55.6, -76.2, -84.5, -101, -99.9, -97.6, -77, -60, -55.6, 
##     -46, -41.3, -32.4, -27.5, -19.3, -6.03, -3.19, 2.32, 4.57, 
##     6.67, 8.49, 11, 13, 14.9, -91.5, -89.4, -87.1, -78.3, -75.1, 
##     -71.3, -64.1, -61.1, -53.4, -49.3, -45.3, -33.3, -29.1, -25.7, 
##     -21.8, -14.4, -10.6, -3.81, -0.69, 8.88, 12.6, 26.3, 28.6, 
##     32.9, 22.3, 18.6, 119, 114, 109, 86.6, 82.3, 83.4, 88.4, 
##     113, 119, 125, 137, 143, 148, 154, 164, 170, 176, -178, -173, 
##     -161, -155, -149, -144, -127, -115, -111, -101, -94.2, -92.6, 
##     -94.6, 138, 157, 174, -180, -173, -166, -147, -140, -129, 
##     -123, -116, -107, -103, -112, -116, -125, -131, -137, -142, 
##     -172, 179, 163, 157, 102, 105, 108, 117, 127, 142, 166, 172, 
##     -165, -159, -153, -142, -131, -105, -96.6, -97.7, -121, -126, 
##     -138, -174, 170, 147, 129, 134, 139, 144, 150, 160, 166, 
##     171, -171, -164, -151, -137, -130, -119, -108, -99.2, -99, 
##     -103, -113, -117, -122, -132, -142, -150, -158, 178, 122, 
##     118, 107, 104, 101, 97.1, 92.6, 90.7, 88.1, 87.7, 88.6, 89.9, 
##     90.5, 91.1, 91.6, 93, 93.8, 101, 103, 110, 117, 121, 125, 
##     141, 114, 105, 91, 88.3, 83.2, 80.8, 80.6, 81.3, 84, 87.8, 
##     98.6, 102, 127, 159, 174, -179, -173, -159, -154, -142, -137, 
##     -119, -114, -109, -150, -145, -139, -127, -120, -105, -101, 
##     -96.9, -93.4, -86.7, -80.2, -79.3, -79.2, -81.8, -83.7, -86.3, 
##     -89.4, -101, -111, -130, -136, -178, 166, 159, 152, 145, 
##     123, -152, 149, 137, 126, 104, 100, 98.8, 96.6, 96.7, 97, 
##     97.8, 100, 102, 104, 112, 116, 129, 141, 155, 180, -163, 
##     113, 120, 122, 125, 133, 137, 142, 147, 167, -174, -117, 
##     -110, -104, -92.5, -86.9, -77, -68.1, -63.8, -59.3, -55.4, 
##     -47.1, -46.2, -48.5, -50.1, -55.5, -59.9, -62.4, -64.9, -68, 
##     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
##     0, 0, 0, 0, 0, 0, 0), total_accel_forearm = c(36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 37, 36, 36, 36, 36, 36, 36, 36, 37, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 35, 35, 35, 
##     35, 35, 35, 34, 35, 35, 34, 34, 34, 34, 34, 34, 33, 35, 34, 
##     34, 34, 34, 34, 35, 34, 34, 35, 34, 34, 35, 35, 34, 34, 34, 
##     35, 35, 34, 34, 34, 34, 34, 34, 34, 33, 34, 34, 34, 34, 34, 
##     34, 35, 34, 34, 33, 33, 34, 34, 34, 34, 33, 33, 34, 34, 34, 
##     33, 32, 31, 30, 30, 30, 30, 31, 31, 31, 29, 30, 33, 34, 33, 
##     33, 33, 32, 35, 36, 37, 37, 36, 36, 37, 36, 37, 38, 37, 36, 
##     36, 35, 34, 33, 34, 35, 35, 35, 33, 31, 32, 32, 32, 30, 29, 
##     28, 28, 30, 31, 30, 30, 30, 30, 31, 33, 34, 34, 33, 34, 34, 
##     35, 35, 35, 34, 33, 34, 35, 35, 34, 32, 34, 37, 35, 33, 34, 
##     35, 34, 34, 33, 33, 33, 34, 35, 36, 35, 36, 36, 34, 35, 35, 
##     35, 35, 34, 34, 34, 34, 34, 34, 33, 35, 35, 35, 35, 34, 34, 
##     35, 35, 34, 34, 34, 35, 35, 35, 35, 36, 34, 34, 35, 35, 35, 
##     35, 34, 34, 34, 35, 35, 34, 34, 34, 34, 34, 35, 34, 35, 34, 
##     34, 34, 34, 34, 35, 35, 34, 35, 35, 34, 34, 35, 34, 35, 35, 
##     35, 26, 27, 28, 28, 31, 31, 28, 27, 29, 29, 30, 32, 33, 30, 
##     29, 29, 29, 28, 29, 27, 25, 27, 27, 24, 25, 28, 28, 26, 34, 
##     37, 36, 35, 34, 36, 38, 37, 32, 35, 36, 36, 36, 36, 36, 35, 
##     36, 35, 39, 38, 37, 38, 38, 37, 38, 37, 36, 37, 36, 35, 34, 
##     35, 36, 36, 35, 31, 30, 32, 30, 27, 24, 26, 27, 28, 31, 33, 
##     35, 32, 31, 31, 30, 29, 31, 32, 31, 32, 28, 30, 32, 26, 32, 
##     32, 39, 40, 38, 34, 33, 33, 34, 36, 36, 34, 32, 35, 35, 35, 
##     36, 35, 35, 36, 37, 37, 37, 38, 38, 37, 37, 38, 36, 35, 35, 
##     34, 34, 33, 30, 29, 29, 29, 29, 29, 27, 32, 34, 33, 33, 35, 
##     35, 35, 34, 34, 33, 32, 35, 35, 35, 35, 35, 37, 37, 36, 37, 
##     36, 35, 32, 35, 37, 37, 35, 31, 30, 29, 29, 26, 26, 26, 27, 
##     32, 30, 29, 28, 28, 29, 28, 28, 28, 26, 28, 27, 28, 25, 22, 
##     24, 27, 26, 30, 30, 32, 30, 30, 31, 31, 31, 33, 34, 35, 35, 
##     34, 33, 34, 35, 35, 34, 35, 34, 36, 36, 34, 37, 37, 36, 35, 
##     31, 30, 30, 29, 26, 25, 27, 32, 33, 30, 36, 34, 34, 34, 38, 
##     38, 36, 35, 36, 36, 36, 36, 35, 34, 29, 28, 26, 29, 30, 30, 
##     31, 30, 29, 27, 26, 27, 29, 31, 33, 35, 34, 34, 36, 36, 36, 
##     38, 39, 39, 39, 36, 36, 37, 36, 33, 29, 29, 29, 28, 25, 28, 
##     29, 27, 26, 28, 27, 26, 32, 29, 34, 31, 30, 28, 28, 27, 26, 
##     29, 30, 29, 28, 26, 28, 24, 25, 26, 23, 26, 27, 30, 32, 32, 
##     32, 37, 37, 34, 34, 34, 37, 38, 37, 36, 35, 33, 33, 35, 36, 
##     12, 12, 13, 13, 13, 14, 13, 13, 12, 12, 13, 13, 14, 14, 13, 
##     13, 13, 13, 14, 13, 13, 12, 12, 13, 13, 13, 13, 14, 14, 13, 
##     13, 12, 12, 13, 15, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 
##     14, 13, 13, 13, 13, 13, 13, 12, 12, 13, 13, 13, 13, 13, 14, 
##     14, 14, 13, 13, 13, 13, 12, 12, 12, 13, 13, 13, 13, 14, 14, 
##     13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 13, 14, 13, 14, 14, 
##     13, 13, 13, 13, 13, 13, 13, 12, 13, 13, 13, 14, 14, 13, 14, 
##     13, 13, 13, 13, 12, 13, 13, 13, 14, 14, 14, 14, 14, 13, 13, 
##     13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 14, 14, 13, 14, 
##     13, 13, 13, 13, 13, 13, 12, 12, 13, 13, 13, 13, 14, 14, 13, 
##     13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 
##     13, 13, 13, 13, 13, 13, 14, 13, 13, 13, 14, 13, 13, 13, 13, 
##     13, 13, 13, 13, 13, 13, 12, 12, 13, 13, 13, 14, 14, 14, 14, 
##     13, 13, 12, 12, 12, 12, 13, 13, 13, 14, 13, 13, 13, 31, 28, 
##     25, 24, 24, 25, 15, 16, 17, 17, 18, 18, 16, 15, 15, 16, 17, 
##     18, 20, 18, 17, 15, 14, 20, 14, 13, 13, 13, 12, 12, 13, 13, 
##     13, 13, 13, 13, 13, 25, 26, 35, 17, 30, 21, 17, 35, 29, 25, 
##     26, 33, 38, 27, 36, 32, 35, 40, 40, 29, 38, 39, 38, 37, 37, 
##     47, 40, 41, 45, 40, 41, 12, 12, 12, 14, 17, 19, 14, 12, 11, 
##     12, 12, 12, 12, 14, 14, 14, 14, 14, 41, 43, 43, 43, 43, 41, 
##     40, 42, 37, 40, 42, 41, 41, 42, 42, 42, 45, 40, 39, 40, 43, 
##     42, 41, 38, 43, 45, 43, 44, 40, 40, 42, 44, 40, 41, 39, 37, 
##     41, 42, 42, 42, 41, 41, 42, 41, 42, 42, 42, 41, 44, 42, 40, 
##     40, 39, 40, 41, 42, 42, 43, 42, 41, 41, 40, 42, 42, 43, 42, 
##     42, 42, 42, 41, 42, 43, 44, 42, 41, 41, 50, 42, 42, 42, 41, 
##     39, 42, 40, 40, 41, 42, 43, 42, 40, 39, 38, 39, 41, 41, 40, 
##     41, 42, 42, 42, 42, 41, 40, 42, 42, 40, 39, 41, 42, 42, 42, 
##     41, 41, 42, 42, 41, 44, 45, 44, 43, 43, 42, 38, 37, 35, 35, 
##     36, 37, 39, 40, 41, 44, 45, 45, 45, 44, 44, 43, 42, 42, 42, 
##     43, 42, 42, 41, 41, 41, 41, 41, 40, 40, 40, 40, 40, 39, 39, 
##     39, 39, 39, 39, 39, 39, 38, 38, 38, 39, 39, 40, 40, 39, 39, 
##     38, 38, 39, 40, 41, 41, 42, 40, 39, 38, 39, 40, 40, 40, 37, 
##     38, 38, 38, 38, 39, 39, 40, 42, 42, 41, 41, 40, 41, 41, 48, 
##     53, 55, 53, 53, 54, 54, 57, 56, 46, 45, 44, 43, 43, 45, 39, 
##     41, 41, 43, 46, 45, 50, 48, 49, 49, 47, 48, 48, 48, 50, 50, 
##     51, 52, 53, 52, 51, 50, 48, 46, 45, 46, 47, 48, 45, 43, 43, 
##     42, 42, 42, 42, 41, 40, 40, 40, 40, 40, 40, 39, 39, 40, 41, 
##     40, 44, 44, 46, 50, 51, 55, 54, 53, 54, 54, 49, 45, 44, 43, 
##     42, 44, 43, 43, 41, 40, 39, 39, 41, 41, 41, 41, 40, 52, 50, 
##     48, 51, 49, 48, 48, 47, 44, 44, 47, 48, 48, 48, 46, 45, 43, 
##     42, 42, 43, 44, 44, 43, 43, 42, 39, 42, 38, 38, 39, 40, 40, 
##     42, 42, 41, 46, 52, 51, 49, 49, 50, 48, 47, 46, 47, 46, 45, 
##     46, 44, 43, 43, 42, 41, 42, 42, 43, 42, 43, 43, 42, 42, 43, 
##     44, 43, 43, 44, 42, 40, 41, 42, 41, 40, 41, 41, 39, 40, 36, 
##     38, 40, 40, 39, 42, 44, 43, 46, 46, 46, 52, 53, 50, 50, 49, 
##     47, 50, 49, 47, 44, 43, 47, 48, 49, 49, 48, 48, 45, 44, 41, 
##     43, 41, 40, 40, 40, 40, 40, 40, 39, 39, 40, 41, 42, 43, 47, 
##     50, 50, 50, 52, 52, 54, 53, 51, 51, 50, 47, 46, 46, 43, 41, 
##     42, 41, 40, 41, 40, 41, 41, 42, 42, 40, 40, 43, 43, 42, 42, 
##     41, 42, 41, 41, 42, 41, 41, 42, 40, 40, 39, 39, 39, 44, 47, 
##     49, 51, 50, 48, 44, 42, 43, 48, 52, 52, 51, 49, 48, 48, 48, 
##     46, 42, 42, 43, 45, 46, 47, 44, 41, 41, 40, 40, 39, 39, 41, 
##     41, 40, 40, 44, 50, 50, 49, 49, 49, 50, 51, 51, 48, 44, 45, 
##     45, 44, 44, 42, 43, 43, 39, 39, 42, 50, 50, 49, 46, 46, 47, 
##     46, 43, 43, 43, 43, 41, 40, 40, 41, 42, 42, 40, 39, 40, 41, 
##     46, 49, 50, 50, 57, 56, 55, 53, 51, 49, 50, 50, 49, 45, 44, 
##     42, 40, 40, 43, 42, 42, 42, 45, 41, 41, 41, 41, 42, 42, 42, 
##     41, 41, 42, 40, 42, 41, 40, 42, 43, 42, 42, 42, 41, 37, 36, 
##     36, 37, 36, 45, 47, 48, 48, 47, 49, 46, 44, 51, 49, 49, 51, 
##     50, 48, 50, 48, 46, 45, 45, 44, 40, 41, 39, 42, 41, 41, 42, 
##     42, 42, 42, 42, 42, 42, 41, 41, 41, 42, 41, 41, 42, 42, 41, 
##     39, 40, 38, 38, 38, 38, 38, 38, 38, 38, 40, 40, 36, 36, 36, 
##     36, 37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 37, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 38, 
##     38, 40, 39, 40, 41, 40, 35, 33, 31, 29, 29, 24, 23, 21, 22, 
##     23, 27, 26, 26, 26, 25, 24, 23, 25, 25, 26, 25, 26, 25, 25, 
##     26, 26, 25, 26, 30, 30, 32, 31, 36, 37, 38, 40, 39, 38, 37, 
##     38, 38, 38, 37, 36, 36, 37, 38, 36, 37, 37, 36, 37, 36, 36, 
##     36, 36, 37, 36, 35, 36, 37, 38, 38, 42, 41, 42, 39, 40, 37, 
##     37, 36, 33, 32, 32, 31, 30, 27, 26, 24, 26, 25, 25, 25, 25, 
##     25, 26, 29, 30, 28, 25, 24, 35, 36, 37, 37, 36, 35, 35, 36, 
##     36, 37, 37, 37, 37, 39, 40, 41, 42, 42, 42, 39, 39, 39, 38, 
##     38, 37, 36, 31, 30, 29, 30, 27, 26, 25, 23, 23, 24, 25, 25, 
##     25, 25, 26, 28, 27, 24, 24, 23, 23, 23, 22, 29, 27, 25, 30, 
##     31, 33, 32, 38, 36, 36, 35, 36, 36, 37, 37, 39, 41, 42, 41, 
##     42, 42, 41, 39, 36, 36, 32, 29, 28, 24, 23, 24, 30, 30, 28, 
##     27, 26, 26, 26, 26, 26, 24, 23, 24, 37, 32, 38, 37, 35, 38, 
##     38, 36, 38, 38, 38, 38, 29, 30, 31, 34, 38, 36, 36, 34, 33, 
##     36, 38, 38, 41, 41, 39, 37, 37, 38, 37, 36, 36, 36, 35, 35, 
##     35, 35, 36, 36, 37, 37, 38, 39, 41, 43, 44, 44, 43, 43, 41, 
##     41, 39, 34, 32, 31, 29, 26, 24, 22, 23, 25, 27, 30, 32, 32, 
##     31, 30, 28, 27, 27, 27, 27, 26, 26, 23, 28, 30, 32, 35, 37, 
##     39, 37, 37, 37, 39, 39, 39, 39, 38, 37, 36, 35, 35, 35, 35, 
##     34, 35, 35, 34, 35, 35, 35, 35, 35, 36, 37, 35, 37, 38, 38, 
##     39, 41, 40, 42, 40, 40, 39, 39, 35, 34, 33, 32, 30, 27, 24, 
##     23, 24, 26, 31, 32, 30, 29, 29, 27, 27, 27, 27, 27, 26, 25, 
##     23, 25, 27, 27, 27, 29, 36, 36, 37, 38, 38, 38, 42, 44, 44, 
##     42, 39, 37, 35, 35, 35, 34, 34, 33, 32, 30, 27, 26, 24, 23, 
##     23, 24, 24, 29, 34, 33, 28, 27, 26, 26, 25, 25, 23, 25, 27, 
##     29, 36, 38, 38, 40, 38, 38, 38, 37, 36, 37, 38, 37, 36, 37, 
##     37, 38, 38, 38, 38, 38, 40, 39, 39, 39, 38, 38, 37, 36, 37, 
##     33, 32, 31, 29, 29, 28, 28, 24, 26, 28, 23, 24, 24, 26, 26, 
##     29, 36, 32, 28, 27, 22, 22, 20, 23, 28, 30, 31, 31, 29, 31, 
##     30, 31, 33, 35, 35, 35, 35, 36, 37, 38, 38, 37, 37, 38, 38, 
##     38, 37, 36, 37, 39, 38, 41, 37, 36, 33, 25, 25, 28, 33, 34, 
##     33, 31, 30, 28, 27, 26, 24, 24, 24, 24, 25, 28, 27, 28, 29, 
##     31, 34, 33, 34, 36, 37, 37, 38, 40, 40, 40, 40, 33, 34, 28, 
##     29, 35, 32, 32, 33, 35, 32, 32, 33, 30, 34, 34, 33, 32, 32, 
##     32, 34, 33, 32, 32, 32, 32, 33, 34, 33, 32, 33, 33, 32, 32, 
##     32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 32, 
##     33, 33, 33, 33, 32, 33, 33, 33, 33, 33, 32, 33, 33, 33, 33, 
##     32, 33, 33, 33, 34, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 33, 33, 33, 33, 
##     33, 33, 33, 33, 34, 33, 33, 33, 33, 33, 33, 33, 33, 34, 33, 
##     33, 33, 33, 34, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     34, 32, 30, 33, 34, 33, 32, 34, 34, 32, 32, 33, 33, 32, 32, 
##     32, 32, 32, 33, 33, 32, 33, 33, 32, 32, 32, 33, 33, 33, 33, 
##     32, 33, 33, 33, 33, 33, 33, 32, 33, 33, 32, 33, 33, 33, 32, 
##     32, 32, 33, 32, 32, 33, 33, 33, 32, 33, 33, 33, 33, 32, 33, 
##     33, 33, 33, 33, 32, 33, 34, 33, 33, 33, 33, 34, 35, 32, 34, 
##     34, 33, 33, 34, 34, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 37, 37, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 37, 36, 36, 36, 36, 36, 35, 36, 36, 36, 36, 
##     36, 36, 36, 37, 37, 37, 37, 37, 38, 38, 39, 39, 39, 39, 39, 
##     39, 39, 40, 40, 40, 41, 41, 41, 40, 38, 36, 36, 34, 33, 32, 
##     29, 29, 29, 27, 25, 26, 26, 29, 29, 31, 31, 32, 31, 30, 29, 
##     30, 28, 28, 29, 29, 29, 29, 29, 31, 30, 30, 29, 30, 29, 28, 
##     28, 27, 30, 31, 26, 27, 28, 28, 30, 31, 29, 32, 35, 36, 34, 
##     34, 34, 38, 39, 42, 38, 38, 38, 38, 37, 38, 37, 37, 37, 38, 
##     37, 37, 38, 39, 39, 39, 40, 41, 41, 43, 44, 40, 39, 40, 40, 
##     37, 37, 36, 31, 31, 27, 28, 29, 29, 27, 27, 28, 32, 31, 32, 
##     33, 30, 28, 29, 28, 29, 28, 26, 27, 27, 27, 24, 27, 27, 30, 
##     28, 32, 32, 33, 31, 32, 37, 35, 36, 39, 39, 38, 39, 41, 39, 
##     39, 38, 41, 44, 45, 44, 42, 42, 42, 41, 42, 37, 34, 31, 27, 
##     27, 28, 27, 26, 25, 23, 29, 31, 32, 28, 30, 29, 29, 26, 24, 
##     23, 22, 24, 25, 26, 24, 24, 29, 27, 36, 38, 39, 39, 40, 40, 
##     41, 43, 43, 39, 37, 40, 39, 38, 41, 43, 43, 42, 41, 42, 40, 
##     38, 34, 33, 32, 32, 29, 28, 27, 27, 25, 24, 26, 24, 25, 26, 
##     26, 27, 28, 32, 34, 33, 26, 27, 27, 30, 29, 26, 26, 24, 27, 
##     27, 29, 36, 33, 35, 25, 25, 24, 27, 34, 32, 29, 25, 27, 28, 
##     28, 28, 25, 27, 25, 32, 31, 32, 31, 33, 36, 44, 41, 37, 36, 
##     36, 37, 45, 42, 42, 36, 38, 42, 41, 40, 40, 41, 42, 42, 43, 
##     46, 46, 46, 46, 45, 44, 41, 40, 39, 37, 28, 27, 27, 28, 28, 
##     26, 23, 23, 24, 24, 24, 31, 32, 35, 35, 34, 31, 27, 27, 28, 
##     27, 27, 21, 22, 24, 25, 24, 30, 31, 29, 30, 25, 30, 37, 40, 
##     37, 36, 35, 36, 38, 38, 40, 41, 41, 40, 41, 38, 35, 36, 37, 
##     36, 39, 43, 46, 47, 45, 43, 43, 43, 42, 41, 39, 37, 36, 29, 
##     28, 26, 26, 28, 24, 24, 24, 31, 33, 34, 35, 35, 32, 28, 26, 
##     26, 28, 26, 25, 24, 30, 31, 36, 35, 36, 35, 35, 34, 36, 36, 
##     35, 36, 38, 39, 42, 43, 41, 41, 41, 38, 39, 39, 39, 41, 41, 
##     43, 44, 46, 47, 45, 43, 43, 43, 42, 39, 35, 26, 26, 24, 30, 
##     30, 29, 28, 29, 30, 34, 33, 26, 26, 28, 28, 29, 24, 25, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 32, 32, 34, 33, 33, 33, 33, 32, 33, 33, 
##     34, 33, 33, 33, 32, 32, 33, 33, 33, 33, 33, 32, 33, 33, 33, 
##     32, 33, 33, 33, 33, 32, 33, 32, 33, 33, 34, 34, 33, 33, 33, 
##     32, 33, 33, 33, 33, 33, 33, 32, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 32, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 32, 33, 33, 
##     32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 34, 33, 33, 32, 34, 33, 33, 32, 33, 33, 33, 
##     33, 34, 34, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 35, 34, 
##     33, 35, 33, 33, 32, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 
##     33, 33, 34, 33, 32, 32, 32, 33, 33, 35, 32, 33, 34, 33, 34, 
##     32, 33, 34, 35, 34, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 32, 32, 32, 
##     33, 34, 35, 34, 33, 33, 34, 34, 32, 33, 33, 33, 33, 33, 33, 
##     33, 32, 33, 33, 33, 33, 33, 32, 33, 33, 33, 33, 33, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 33, 33, 34, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 33, 
##     33, 33, 34, 34, 33, 33, 34, 33, 33, 35, 33, 34, 37, 39, 40, 
##     40, 40, 41, 38, 39, 43, 44, 38, 35, 29, 27, 28, 28, 27, 22, 
##     24, 21, 25, 27, 29, 26, 34, 33, 36, 30, 27, 28, 28, 25, 22, 
##     22, 28, 28, 34, 35, 40, 29, 32, 38, 36, 31, 33, 34, 36, 35, 
##     36, 32, 30, 39, 35, 36, 36, 39, 41, 40, 39, 38, 36, 35, 34, 
##     32, 26, 27, 27, 27, 24, 24, 26, 25, 26, 38, 31, 30, 28, 30, 
##     31, 29, 24, 25, 22, 22, 30, 38, 35, 37, 31, 30, 32, 36, 36, 
##     30, 31, 36, 37, 37, 38, 39, 39, 38, 38, 38, 37, 35, 32, 29, 
##     26, 26, 25, 27, 27, 27, 27, 26, 33, 31, 27, 24, 24, 25, 23, 
##     25, 27, 29, 30, 35, 38, 40, 35, 34, 36, 34, 33, 36, 40, 35, 
##     33, 35, 35, 35, 37, 43, 39, 40, 40, 38, 36, 35, 35, 27, 25, 
##     24, 23, 24, 28, 28, 38, 35, 31, 32, 33, 32, 30, 29, 27, 27, 
##     26, 23, 24, 25, 24, 27, 27, 35, 43, 34, 31, 31, 40, 44, 39, 
##     38, 36, 38, 38, 35, 36, 37, 42, 40, 39, 37, 35, 34, 26, 23, 
##     24, 23, 27, 31, 26, 35, 31, 31, 31, 28, 28, 26, 28, 28, 26, 
##     24, 28, 34, 35, 38, 37, 31, 31, 37, 35, 40, 34, 33, 34, 37, 
##     42, 44, 39, 37, 37, 39, 39, 35, 33, 33, 33, 26, 25, 25, 26, 
##     25, 27, 25, 27, 34, 34, 34, 33, 31, 26, 31, 26, 26, 31, 30, 
##     20, 19, 23, 26, 40, 31, 33, 33, 37, 36, 40, 41, 35, 36, 37, 
##     35, 38, 39, 36, 35, 35, 37, 41, 43, 39, 38, 38, 37, 33, 31, 
##     30, 28, 27, 26, 23, 23, 23, 25, 26, 24, 25, 30, 33, 31, 30, 
##     31, 28, 29, 25, 27, 24, 32, 32, 30, 34, 36, 38, 39, 35, 36, 
##     35, 32, 33, 33, 32, 32, 34, 37, 38, 39, 39, 34, 35, 35, 35, 
##     30, 28, 24, 25, 24, 26, 26, 30, 30, 28, 30, 32, 31, 29, 30, 
##     27, 27, 25, 25, 24, 26, 26, 29, 33, 39, 37, 33, 36, 37, 37, 
##     38, 39, 36, 36, 37, 35, 34, 35, 40, 40, 38, 39, 41, 37, 35, 
##     35, 33, 29, 28, 25, 22, 23, 20, 22, 32, 27, 31, 37, 28, 27, 
##     29, 26, 26, 17, 20, 28, 32, 33, 28, 26, 28, 33, 33, 35, 37, 
##     36, 39, 35, 33, 33, 36, 34, 34, 37, 39, 43, 42, 37, 24, 23, 
##     22, 21, 24, 35, 35, 31, 29, 30, 32, 31, 27, 20, 26, 25, 33, 
##     27, 30, 26, 26, 29, 38, 37, 38, 36, 36, 36, 37, 38, 37, 36, 
##     36, 36, 36, 37, 37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 37, 37, 36, 37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 50, 
##     50, 51, 51, 49, 48, 42, 41, 45, 45, 45, 44, 42, 40, 42, 45, 
##     47, 49, 48, 48, 43, 41, 42, 42, 42, 42, 41, 41, 41, 41, 42, 
##     46, 47, 50, 50, 50, 51, 51, 44, 42, 42, 44, 43, 43, 43, 40, 
##     37, 37, 36, 35, 38, 42, 44, 45, 44, 45, 44, 49, 41, 41, 41, 
##     40, 41, 41, 42, 41, 41, 40, 40, 39, 40, 41, 43, 45, 47, 48, 
##     49, 50, 50, 41, 42, 42, 38, 37, 40, 39, 38, 40, 40, 39, 39, 
##     40, 39, 40, 39, 40, 40, 40, 40, 40, 39, 40, 41, 39, 38, 38, 
##     39, 38, 38, 38, 39, 39, 39, 38, 38, 39, 39, 39, 39, 39, 39, 
##     39, 40, 39, 39, 38, 37, 38, 38, 40, 40, 40, 39, 37, 37, 37, 
##     37, 36, 36, 38, 39, 41, 42, 42, 40, 38, 39, 40, 40, 41, 41, 
##     41, 40, 40, 39, 40, 40, 38, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 
##     1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
##     2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 
##     1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 
##     1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 4, 5, 7, 8, 9, 10, 
##     10, 14, 15, 16, 21, 22, 24, 24, 22, 22, 23, 24, 25, 26, 23, 
##     22, 21, 21, 22, 23, 22, 21, 20, 20, 22, 24, 24, 25, 22, 21, 
##     21, 20, 21, 21, 22, 23, 22, 22, 22, 22, 22, 22, 22, 22, 23, 
##     23, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 22, 22, 22, 22, 
##     22, 22, 22, 21, 20, 21, 21, 22, 22, 23, 24, 23, 24, 24, 25, 
##     25, 26, 26, 25, 24, 22, 22, 21, 21, 22, 22, 22, 19, 15, 14, 
##     13, 12, 13, 13, 13, 14, 13, 10, 8, 7, 6, 7, 8, 9, 8, 6, 6, 
##     4, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 
##     4, 5, 9, 10, 11, 12, 14, 14, 14, 15, 16, 19, 23, 24, 23, 
##     22, 24, 23, 22, 24, 27, 27, 29, 29, 33, 33, 34, 41, 39, 39, 
##     41, 46, 48, 49, 51, 53, 49, 49, 49, 50, 48, 46, 46, 44, 44, 
##     41, 42, 31, 39, 34, 33, 29, 31, 28, 24, 23, 20, 13, 14, 15, 
##     14, 14, 14, 15, 16, 20, 19, 15, 13, 14, 16, 18, 22, 26, 27, 
##     27, 32, 32, 35, 39, 40, 39, 41, 45, 45, 45, 50, 51, 50, 49, 
##     51, 52, 47, 47, 46, 51, 46, 53, 42, 42, 51, 33, 46, 34, 35, 
##     22, 26, 29, 31, 29, 29, 28, 28, 34, 42, 46, 37, 38, 35, 39, 
##     40, 41, 45, 49, 50, 49, 49, 50, 48, 47, 47, 47, 43, 40, 40, 
##     43, 35, 34, 35, 34, 29, 22, 19, 23, 29, 27, 24, 25, 21, 18, 
##     30, 33, 33, 37, 41, 40, 40, 42, 45, 45, 48, 49, 47, 47, 50, 
##     52, 50, 51, 51, 50, 49, 42, 45, 43, 41, 41, 40, 39, 41, 38, 
##     37, 36, 31, 32, 33, 29, 27, 27, 26, 24, 26, 20, 19, 15, 13, 
##     13, 13, 15, 16, 16, 15, 14, 13, 15, 18, 17, 20, 21, 20, 18, 
##     20, 23, 24, 25, 29, 29, 27, 34, 34, 34, 37, 38, 44, 48, 49, 
##     51, 51, 51, 51, 47, 47, 43, 47, 45, 44, 38, 40, 38, 37, 33, 
##     29, 27, 24, 22, 22, 21, 17, 9, 10, 9, 11, 11, 13, 9, 9, 11, 
##     11, 12, 13, 14, 13, 13, 15, 16, 19, 17, 18, 20, 22, 23, 25, 
##     29, 31, 29, 33, 35, 39, 42, 44, 41, 42, 45, 48, 48, 45, 45, 
##     51, 52, 50, 51, 51, 48, 50, 50, 46, 45, 42, 41, 39, 36, 33, 
##     31, 28, 29, 31, 27, 28, 29, 21, 23, 23, 18, 18, 13, 11, 11, 
##     10, 9, 9, 9, 10, 8, 8, 9, 17, 15, 12, 10, 8, 17, 18, 19, 
##     16, 14, 15, 15, 17, 24, 28, 27, 25, 29, 30, 30, 33, 36, 37, 
##     37, 43, 44, 44, 44, 45, 44, 46, 48, 49, 48, 47, 48, 49, 52, 
##     52, 53, 52, 52, 50, 50, 50, 50, 47, 45, 46, 40, 39, 39, 38, 
##     30, 36, 30, 35, 33, 28, 27, 24, 20, 22, 18, 18, 18, 15, 32, 
##     32, 34, 30, 31, 33, 37, 40, 39, 36, 45, 42, 46, 45, 48, 46, 
##     50, 51, 52, 51, 51, 51, 53, 52, 52, 50, 50, 50, 50, 46, 48, 
##     48, 46, 44, 40, 38, 42, 39, 37, 38, 39, 40, 38, 32, 30, 28, 
##     29, 39, 44, 44, 45, 49, 51, 49, 50, 45, 48, 51, 50, 51, 50, 
##     48, 49, 49, 48, 47, 46, 45, 45, 45, 45, 45, 46, 45, 44, 45, 
##     45, 44, 44, 45, 46, 46, 47, 49, 49, 50, 51, 52, 52, 53, 53, 
##     53, 54, 53, 51, 43, 43, 41, 40, 40, 42, 42, 42, 41, 42, 43, 
##     43, 43, 42, 42, 43, 41, 42, 42, 43, 43, 43, 43, 43, 42, 41, 
##     41, 39, 39, 39, 38, 39, 38, 38, 40, 43, 44, 43, 45, 44, 44, 
##     43, 49, 48, 49, 48, 47, 49, 50, 51, 48, 47, 45, 44, 45, 44, 
##     16, 12, 10, 10, 10, 10, 10, 10, 10, 4, 7, 11, 13, 14, 13, 
##     10, 10, 12, 15, 16, 16, 13, 13, 13, 12, 10, 13, 12, 13, 13, 
##     13, 14, 14, 15, 18, 17, 18, 18, 17, 17, 19, 17, 20, 23, 24, 
##     26, 28, 30, 29, 31, 32, 7, 6, 6, 5, 4, 3, 3, 2, 3, 4, 4, 
##     5, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 22, 21, 21, 21, 21, 22, 
##     21, 20, 22, 22, 21, 21, 20, 21, 20, 19, 19, 19, 20, 19, 20, 
##     1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 
##     1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 33, 34, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 33, 33, 33, 33, 34, 
##     34, 33, 34, 33, 33, 32, 33, 33, 33, 33, 33, 33, 33, 31, 32, 
##     32, 33, 33, 30, 33, 36, 40, 37, 32, 31, 34, 36, 33, 32, 33, 
##     33, 33, 33, 33, 28, 31, 32, 32, 38, 38, 38, 39, 39, 38, 38, 
##     36, 37, 37, 35, 34, 31, 30, 31, 27, 25, 21, 21, 24, 29, 30, 
##     29, 27, 26, 25, 24, 24, 23, 23, 23, 24, 23, 28, 26, 38, 37, 
##     35, 34, 35, 35, 36, 36, 35, 35, 35, 35, 36, 36, 36, 36, 36, 
##     36, 39, 40, 39, 38, 37, 39, 40, 39, 39, 39, 40, 39, 36, 38, 
##     39, 40, 39, 38, 37, 36, 36, 35, 35, 36, 35, 34, 35, 36, 35, 
##     35, 35, 25, 26, 29, 29, 30, 34, 32, 33, 35, 35, 35, 36, 36, 
##     36, 37, 39, 38, 37, 37, 39, 39, 37, 37, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 37, 36, 36, 36, 37, 37, 40, 38, 38, 37, 39, 
##     108, 40, 38, 35, 34, 31, 32, 37, 36, 34, 36, 37, 39, 37, 
##     36, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 
##     37, 38, 37, 35, 34, 33, 32, 33, 32, 32, 33, 38, 37, 36, 36, 
##     36, 36, 37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 38, 36, 37, 36, 35, 32, 34, 37, 36, 
##     35, 36, 35, 35, 37, 38, 38, 40, 41, 41, 36, 35, 34, 34, 33, 
##     31, 30, 30, 27, 26, 27, 26, 29, 31, 35, 33, 33, 32, 34, 33, 
##     34, 39, 38, 29, 27, 28, 28, 24, 29, 33, 27, 31, 29, 29, 34, 
##     34, 34, 32, 35, 36, 33, 34, 35, 29, 30, 27, 28, 29, 30, 30, 
##     33, 29, 31, 29, 28, 28, 26, 30, 27, 28, 33, 32, 34, 35, 34, 
##     34, 34, 35, 35, 34, 35, 35, 35, 36, 35, 35, 34, 34, 34, 35, 
##     36, 36, 36, 36, 36, 33, 33, 33, 32, 32, 26, 34, 34, 40, 40, 
##     42, 42, 41, 40, 38, 36, 44, 46, 47, 48, 47, 47, 46, 45, 42, 
##     40, 38, 37, 34, 31, 29, 28, 27, 30, 31, 29, 28, 27, 26, 35, 
##     35, 37, 37, 34, 35, 37, 37, 38, 35, 36, 35, 35, 30, 29, 28, 
##     28, 27, 29, 27, 26, 26, 25, 30, 32, 32, 30, 28, 28, 25, 25, 
##     25, 28, 29, 30, 30, 32, 32, 32, 34, 31, 32, 35, 33, 37, 37, 
##     36, 35, 33, 34, 34, 33, 34, 35, 36, 36, 36, 38, 37, 37, 36, 
##     35, 35, 34, 34, 33, 32, 30, 27, 26, 26, 25, 24, 32, 32, 32, 
##     28, 28, 27, 28, 27, 22, 22, 34, 34, 35, 35, 33, 32, 34, 33, 
##     33, 33, 32, 33, 33, 33, 33, 33, 33, 32, 33, 33, 32, 32, 33, 
##     34, 33, 33, 32, 33, 32, 32, 34, 34, 34, 34, 34, 35, 36, 36, 
##     36, 37, 36, 37, 36, 36, 36, 35, 34, 30, 23, 21, 22, 25, 24, 
##     25, 23, 29, 41, 35, 32, 28, 28, 27, 17, 22, 26, 30, 31, 30, 
##     34, 41, 39, 37, 38, 39, 40, 38, 33, 34, 35, 37, 37, 36, 35, 
##     35, 37, 37, 41, 41, 37, 32, 32, 28, 27, 26, 24, 23, 35, 41, 
##     42, 39, 33, 30, 28, 25, 23, 23, 20, 20, 20, 17, 20, 22, 20, 
##     23, 27, 30, 27, 28, 31, 33, 35, 37, 37, 38, 42, 38, 35, 35, 
##     35, 36, 36, 37, 37, 40, 40, 36, 40, 38, 34, 33, 31, 25, 25, 
##     22, 22, 22, 21, 23, 28, 42, 51, 56, 50, 42, 36, 30, 29, 29, 
##     25, 24, 22, 19, 25, 28, 33, 31, 27, 30, 31, 27, 25, 21, 23, 
##     21, 20, 23, 28, 35, 47, 45, 34, 28, 22, 21, 20, 18, 33, 30, 
##     34, 38, 37, 44, 42, 42, 43, 38, 35, 37, 37, 35, 37, 38, 38, 
##     40, 42, 43, 40, 38, 35, 36, 36, 35, 35, 31, 30, 25, 25, 22, 
##     20, 26, 29, 32, 38, 44, 38, 35, 33, 31, 29, 29, 28, 27, 22, 
##     14, 13, 18, 22, 35, 37, 36, 39, 38, 40, 34, 33, 36, 35, 34, 
##     33, 34, 35, 37, 37, 38, 41, 39, 38, 40, 39, 37, 35, 33, 26, 
##     20, 21, 22, 43, 44, 30, 18, 19, 16, 46, 44, 43, 34, 29, 25, 
##     25, 23, 22, 18, 19, 21, 26, 40, 50, 51, 42, 29, 28, 26, 24, 
##     24, 19, 19, 20, 24, 28, 30, 33, 37, 38, 38, 42, 44, 45, 33, 
##     36, 34, 35, 40, 41, 40, 35, 35, 35, 35, 36, 36, 34, 40, 44, 
##     49, 46, 36, 36, 34, 33, 28, 25, 21, 17, 17, 18, 22, 25, 50, 
##     55, 53, 48, 38, 31, 30, 28, 25, 20, 17, 19, 24, 24, 27, 35, 
##     38, 39, 39, 38, 43, 24, 40, 40, 38, 38, 37, 37, 37, 38, 38, 
##     38, 36, 36, 36, 37, 36, 35, 35, 35, 35, 35, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 39, 40, 40, 40, 42, 
##     44, 44, 41, 38, 34, 32, 31, 28, 24, 21, 21, 20, 19, 19, 19, 
##     20, 22, 23, 33, 38, 39, 39, 33, 26, 25, 24, 23, 22, 21, 20, 
##     23, 26, 22, 27, 26, 30, 31, 33, 36, 38, 37, 37, 39, 39, 39, 
##     39, 39, 40, 39, 38, 39, 38, 37, 37, 36, 36, 37, 37, 39, 42, 
##     42, 43, 43, 45, 46, 46, 46, 44, 37, 32, 31, 30, 28, 22, 22, 
##     22, 21, 21, 21, 22, 24, 26, 28, 32, 40, 40, 39, 40, 40, 39, 
##     36, 36, 36, 36, 36, 35, 36, 35, 36, 37, 36, 37, 40, 41, 41, 
##     43, 43, 45, 44, 44, 45, 45, 45, 43, 38, 37, 36, 31, 30, 27, 
##     24, 22, 20, 21, 21, 21, 22, 22, 22, 27, 29, 35, 38, 41, 44, 
##     38, 36, 34, 33, 32, 30, 27, 23, 22, 21, 20, 20, 21, 27, 28, 
##     34, 32, 33, 35, 39, 40, 42, 43, 44, 44, 39, 38, 38, 38, 37, 
##     37, 37, 36, 36, 36, 20, 20, 21, 21, 21, 23, 25, 28, 32, 44, 
##     48, 42, 38, 35, 32, 30, 29, 27, 23, 21, 21, 21, 26, 33, 32, 
##     32, 34, 34, 41, 42, 40, 44, 41, 42, 43, 42, 41, 39, 39, 38, 
##     38, 39, 37, 37, 37, 36, 39, 40, 39, 41, 42, 45, 47, 47, 41, 
##     40, 38, 33, 31, 28, 25, 25, 22, 21, 20, 21, 22, 22, 25, 27, 
##     31, 36, 42, 47, 43, 32, 28, 27, 25, 23, 21, 21, 24, 28, 28, 
##     31, 32, 37, 38, 37, 41, 43, 45, 44, 43, 40, 38, 37, 37, 39, 
##     38, 39, 38, 38, 39, 39, 40, 40, 44, 45, 45, 45, 42, 39, 36, 
##     28, 27, 23, 21, 21, 21, 25, 27, 27, 29, 33, 51, 51, 41, 34, 
##     33, 33, 31, 29, 28, 26, 25, 24, 22, 22, 21, 27, 33, 35, 33, 
##     33, 36, 37, 39, 37, 40, 40, 39, 40, 42, 44, 43, 40, 38, 39, 
##     39, 39, 39, 40, 34, 32, 30, 29, 28, 25, 23, 22, 21, 21, 23, 
##     25, 27, 27, 29, 32, 32, 39, 39, 40, 43, 48, 44, 43, 43, 42, 
##     41, 40, 38, 39, 39, 39, 39, 41, 41, 42, 44, 45, 45, 45, 46, 
##     47, 47, 37, 29, 27, 25, 24, 23, 21, 21, 22, 24, 27, 28, 28, 
##     44, 49, 48, 44, 41, 38, 34, 32, 24, 21, 18, 20, 25, 26, 31, 
##     33, 38, 37, 39, 41, 27, 27, 33, 37, 34, 31, 37, 32, 37, 37, 
##     38, 40, 42, 41, 42, 39, 39, 40, 41, 42, 42, 44, 43, 43, 44, 
##     45, 44, 47, 48, 47, 38, 33, 32, 31, 30, 31, 31, 29, 25, 25, 
##     26, 25, 30, 32, 33, 33, 29, 30, 30, 30, 27, 26, 30, 30, 34, 
##     29, 33, 35, 39, 40, 41, 45, 44, 39, 37, 40, 39, 42, 38, 43, 
##     41, 39, 42, 45, 45, 46, 48, 46, 45, 42, 43, 43, 43, 39, 33, 
##     32, 30, 25, 33, 31, 29, 26, 31, 32, 31, 27, 28, 28, 29, 29, 
##     29, 28, 25, 27, 27, 24, 22, 21, 26, 26, 28, 33, 43, 40, 37, 
##     37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 37, 37, 38, 38, 
##     38, 38, 37, 38, 37, 37, 38, 38, 38, 38, 38, 38, 38, 37, 37, 
##     37, 37, 38, 38, 38, 38, 38, 38, 37, 37, 38, 38, 38, 39, 42, 
##     43, 30, 28, 28, 27, 27, 23, 21, 19, 22, 22, 21, 23, 27, 33, 
##     31, 34, 33, 39, 42, 42, 38, 40, 44, 46, 43, 42, 43, 40, 43, 
##     45, 45, 47, 47, 48, 51, 51, 51, 45, 38, 33, 29, 29, 23, 22, 
##     22, 24, 27, 37, 43, 47, 46, 39, 28, 29, 31, 32, 33, 31, 27, 
##     24, 25, 27, 30, 33, 33, 33, 35, 34, 33, 38, 40, 39, 44, 44, 
##     43, 44, 43, 43, 42, 43, 44, 43, 44, 45, 45, 45, 46, 47, 43, 
##     38, 33, 30, 28, 29, 29, 28, 27, 25, 33, 39, 39, 39, 38, 39, 
##     40, 40, 42, 44, 43, 44, 43, 43, 43, 46, 46, 47, 48, 45, 43, 
##     41, 38, 33, 27, 25, 24, 26, 25, 25, 26, 26, 28, 30, 42, 42, 
##     40, 38, 35, 34, 32, 32, 32, 32, 32, 31, 30, 29, 26, 22, 52, 
##     50, 44, 35, 27, 26, 27, 27, 25, 24, 25, 27, 28, 34, 39, 30, 
##     30, 30, 30, 27, 23, 23, 25, 27, 33, 37, 32, 34, 36, 35, 33, 
##     33, 35, 38, 38, 41, 40, 39, 41, 39, 43, 43, 45, 47, 43, 34, 
##     30, 26, 26, 25, 25, 26, 29, 29, 32, 39, 41, 42, 40, 41, 38, 
##     40, 42, 46, 48, 48, 48, 49, 48, 47, 43, 37, 36, 37, 37, 36, 
##     34, 32, 26, 26, 24, 23, 24, 24, 25, 26, 37, 34, 32, 33, 36, 
##     39, 39, 37, 39, 41, 40, 40, 39, 38, 39, 43, 45, 45, 45, 47, 
##     45, 42, 40, 28, 25, 23, 23, 22, 23, 24, 26, 27, 30, 32, 34, 
##     39, 39, 40, 40, 39, 38, 37, 37, 34, 32, 31, 27, 25, 24, 24, 
##     23, 23, 27, 34, 39, 38, 34, 35, 37, 36, 37, 41, 41, 41, 41, 
##     41, 40, 40, 41, 42, 44, 49, 51, 50, 55, 53, 45, 39, 31, 35, 
##     36, 37, 37, 38, 39, 31, 33, 36, 38, 37, 34, 32, 31, 30, 30, 
##     30, 31, 32, 32, 30, 30, 31, 32, 31, 31, 31, 29, 29, 30, 30, 
##     31, 31, 30, 30, 30, 31, 31, 31, 30, 32, 32, 33, 41, 45, 53, 
##     41, 28, 24, 22, 22, 22, 24, 28, 30, 38, 47, 44, 41, 40, 32, 
##     31, 30, 17, 21, 24, 24, 26, 33, 50, 47, 45, 41, 36, 40, 35, 
##     37, 42, 46, 42, 52, 51, 50, 49, 29, 24, 21, 20, 21, 24, 26, 
##     36, 49, 47, 45, 42, 39, 36, 30, 28, 21, 48, 49, 45, 33, 24, 
##     20, 20, 23, 33, 42, 47, 48, 42, 38, 36, 34, 28, 27, 24, 19, 
##     21, 21, 24, 32, 29, 31, 41, 41, 39, 35, 36, 35, 36, 45, 47, 
##     46, 45, 46, 44, 40, 38, 27, 26, 22, 21, 26, 29, 31, 37, 44, 
##     45, 41, 38, 35, 33, 30, 29, 29, 24, 21, 20, 19, 22, 32, 25, 
##     27, 39, 42, 43, 39, 38, 37, 35, 39, 47, 45, 43, 44, 40, 40, 
##     34, 27, 21, 20, 27, 30, 48, 46, 40, 38, 36, 29, 27, 22, 22, 
##     24, 23, 25, 30, 33, 39, 34, 52, 44, 43, 46, 40, 34, 42, 44, 
##     43, 45, 50, 46, 43, 35, 38, 41, 38, 39, 41, 44, 46, 48, 44, 
##     24, 24, 20, 25, 31, 44, 47, 46, 35, 30, 28, 20, 17, 18, 24, 
##     25, 37, 49, 53, 40, 39, 40, 40, 38, 37, 37, 41, 47, 47, 35, 
##     27, 25, 22, 23, 23, 23, 48, 49, 44, 34, 30, 29, 29, 26, 21, 
##     20, 20, 20, 26, 31, 32, 35, 38, 39, 47, 49, 45, 43, 35, 32, 
##     37, 39, 41, 45, 46, 43, 48, 49, 53, 51, 36, 29, 25, 23, 23, 
##     24, 24, 24, 24, 30, 31, 43, 46, 50, 44, 42, 31, 28, 25, 23, 
##     31, 28, 30, 61, 40, 44, 42, 46, 46, 48, 47, 35, 39, 18, 28, 
##     26, 28, 33, 35, 37, 35, 37, 40, 40, 38, 34, 33, 34, 37, 37, 
##     37, 37, 34, 34, 31, 29, 28, 32, 30, 30, 31, 32, 31, 32, 42, 
##     42, 43, 43, 44, 45, 45, 45, 44, 43, 40, 38, 38, 38, 38, 36, 
##     38, 43, 42, 40, 40, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 
##     38, 38, 38, 38, 38, 38, 38, 39, 38, 38, 37, 38, 38, 38, 37, 
##     37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 36, 36, 36, 36, 37, 
##     38, 39, 40, 40, 39, 38, 38, 38, 38, 39, 41, 43, 51, 55, 56, 
##     61, 59, 60, 61, 61, 54, 39, 38, 39, 33, 31, 28, 29, 30, 30, 
##     31, 30, 29, 28, 30, 30, 28, 29, 28, 29, 28, 28, 28, 28, 29, 
##     28, 28, 28, 28, 28, 28, 29, 38, 41, 44, 46, 49, 50, 53, 50, 
##     50, 50, 51, 52, 50, 49, 49, 49, 49, 48, 46, 43, 43, 43, 43, 
##     43, 43, 44, 45, 46, 47, 48, 50, 31, 30, 30, 30, 30, 30, 31, 
##     29, 29, 30, 29, 29, 29, 30, 30, 30, 29, 29, 29, 28, 29, 29, 
##     40, 40, 42, 41, 43, 43, 43, 47, 50, 57, 58, 57, 55, 52, 49, 
##     43, 39, 41, 41, 39, 36, 34, 32, 31, 31, 30, 32, 32, 30, 32, 
##     31, 28, 29, 29, 30, 28, 29, 28, 28, 28, 27, 28, 28, 29, 27, 
##     27, 29, 29, 28, 28, 28, 41, 44, 43, 47, 49, 53, 50, 47, 48, 
##     47, 47, 49, 53, 54, 53, 42, 40, 40, 41, 42, 43, 43, 43, 43, 
##     44, 45, 45, 44, 44, 44, 46, 52, 52, 53, 55, 57, 59, 59, 57, 
##     54, 51, 50, 45, 42, 41, 42, 41, 42, 29, 30, 34, 37, 40, 41, 
##     43, 49, 50, 49, 47, 47, 47, 46, 50, 52, 51, 53, 51, 48, 41, 
##     42, 43, 44, 43, 43, 42, 41, 41, 41, 41, 42, 42, 45, 46, 49, 
##     53, 30, 31, 30, 30, 32, 31, 30, 30, 31, 30, 30, 29, 29, 29, 
##     29, 29, 29, 29, 30, 27, 28, 29, 28, 30, 36, 42, 47, 50, 51, 
##     52, 52, 50, 49, 48, 49, 51, 51, 48, 49, 50, 48, 47, 45, 43, 
##     43, 43, 43, 44, 44, 40, 40, 41, 41, 42, 43, 46, 45, 49, 50, 
##     52, 52, 53, 54, 56, 56, 57, 57, 54, 54, 38, 39, 36, 31, 30, 
##     30, 30, 32, 34, 31, 32, 31, 31, 32, 31, 32, 32, 32, 32, 32, 
##     30, 31, 31, 31, 32, 32, 32, 31, 44, 41, 43, 46, 51, 53, 51, 
##     52, 51, 51, 47, 46, 48, 50, 51, 53, 51, 49, 47, 42, 43, 43, 
##     44, 45, 45, 46, 46, 46, 46, 45, 43, 42, 41, 40, 45, 48, 47, 
##     48, 50, 50, 51, 53, 56, 58, 57, 56, 56, 56, 55, 56, 54, 46, 
##     42, 41, 39, 35, 34, 32, 36, 36, 36, 36, 35, 35, 35, 35, 36, 
##     34, 35, 36, 33, 32, 33, 31, 31, 30, 31, 30, 33, 32, 32, 31, 
##     34, 37, 46, 50, 48, 50, 46, 47, 48, 51, 47, 47, 44, 43, 41, 
##     42, 42, 44, 45, 45, 44, 43, 43, 40, 40, 40, 41, 40, 39, 39, 
##     39, 52, 51, 50, 50, 51, 53, 52, 50, 52, 49, 49, 49, 48, 48, 
##     43, 40, 36, 34, 33, 32, 34, 33, 31, 33, 33, 42, 39, 35, 35, 
##     29, 32, 32, 32, 32, 29, 30, 30, 27, 27, 26, 25, 27, 28, 47, 
##     48, 52, 54, 52, 47, 46, 50, 50, 51, 50, 50, 49, 45, 44, 43, 
##     42, 42, 43, 43, 43, 43, 43, 43, 42, 42, 42, 42, 42, 41, 41, 
##     41, 52, 56, 53, 56, 54, 52, 48, 40, 42, 38, 36, 32, 34, 33, 
##     30, 31, 31, 44, 47, 51, 51, 51, 51, 49, 47, 43, 43, 44, 45, 
##     45, 45, 45, 44, 43, 43, 43, 42, 41, 41, 40, 40, 42, 40, 41, 
##     40, 39, 40, 41, 44, 42, 42, 43, 45, 44, 45, 45, 45, 47, 46, 
##     44, 41, 41, 40, 41, 41, 42, 42, 42, 43, 43, 44, 44, 45, 46, 
##     49, 50, 50, 51, 51, 51, 52, 51, 50, 50, 51, 50, 44, 43, 42, 
##     27, 23, 20, 20, 20, 20, 18, 16, 13, 8, 8, 9, 13, 14, 14, 
##     14, 12, 10, 10, 12, 13, 15, 46, 51, 53, 54, 52, 51, 51, 49, 
##     50, 47, 49, 49, 47, 42, 40, 42, 48, 38, 45, 31, 39, 34, 30, 
##     29, 29, 31, 29, 29, 30, 32, 22, 20, 19, 17, 16, 15, 15, 14, 
##     13, 11, 14, 15, 14, 11, 7, 13, 11, 11, 13, 16, 16, 16, 17, 
##     18, 19, 21, 22, 21, 23, 23, 38, 37, 34, 35, 37, 38, 41, 40, 
##     43, 47, 47, 46, 46, 47, 44, 47, 50, 49, 48, 48, 51, 52, 52, 
##     52, 53, 53, 53, 54, 52, 52, 51, 50, 51, 47, 48, 49, 48, 44, 
##     46, 44, 44, 42, 41, 37, 39, 36, 38, 34, 36, 35, 30, 31, 26, 
##     32, 25, 27, 19, 19, 18, 20, 18, 17, 16, 16, 14, 14, 12, 11, 
##     10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
##     10, 10, 12, 16, 17, 21, 25, 23, 24, 24, 26, 28, 29, 26, 30, 
##     30, 31, 30, 34, 39, 35, 39, 43, 42, 44, 45, 52, 50, 47, 45, 
##     43, 40, 39, 30, 32, 29, 31, 32, 30, 27, 26, 24, 21, 17, 19, 
##     18, 15, 13, 11, 10, 9, 49, 48, 45, 46, 48, 52, 50, 53, 54, 
##     53, 49, 50, 50, 51, 50, 52, 50, 48, 47, 47, 47, 44, 43, 42, 
##     40, 32, 32, 30, 25, 31, 34, 29, 29, 25, 18, 18, 18, 18, 13, 
##     12, 11, 8, 8, 8, 8, 10, 11, 11, 12, 12, 13, 13, 14, 15, 17, 
##     25, 27, 26, 22, 21, 23, 29, 31, 33, 37, 44, 44, 44, 46, 46, 
##     45, 49, 50, 51, 51, 50, 49, 51, 53, 54, 52, 50, 51, 51, 52, 
##     54, 53, 53, 53, 52, 50, 49, 46, 44, 41, 42, 42, 39, 37, 37, 
##     35, 28, 25, 26, 27, 23, 19, 19, 18, 16, 13, 9, 9, 9, 9, 9, 
##     9, 10, 10, 10, 10, 12, 13, 14, 16, 17, 17, 18, 18, 19, 21, 
##     23, 30, 25, 26, 25, 30, 31, 36, 39, 39, 43, 47, 50, 50, 49, 
##     50, 50, 50, 52, 54, 55, 51, 55, 56, 55, 52, 51, 52, 51, 52, 
##     52, 51, 50, 45, 43, 48, 43, 42, 44, 42, 40, 40, 35, 32, 30, 
##     28, 30, 28, 17, 17, 17, 17, 17, 17, 17, 16, 36, 33, 37, 43, 
##     43, 44, 45, 45, 48, 47, 48, 48, 50, 50, 50, 50, 49, 51, 54, 
##     54, 52, 52, 51, 53, 52, 52, 52, 51, 51, 51, 51, 49, 48, 49, 
##     44, 44, 44, 43, 40, 35, 35, 33, 31, 27, 26, 24, 23, 24, 21, 
##     19, 14, 11, 10, 10, 11, 10, 10, 10, 9, 9, 10, 9, 8, 9, 10, 
##     10, 12, 11, 13, 18, 50, 50, 51, 50, 52, 53, 54, 51, 51, 50, 
##     52, 52, 52, 51, 49, 54, 53, 49, 48, 43, 40, 43, 42, 35, 34, 
##     37, 27, 38, 34, 25, 26, 29, 30, 24, 20, 20, 13, 12, 13, 11, 
##     6, 8, 7, 7, 7, 10, 10, 11, 11, 12, 14, 15, 15, 15, 16, 17, 
##     18, 20, 21, 22, 22, 22, 24, 28, 32, 32, 33, 40, 46, 47, 48, 
##     48, 48, 50, 50, 57, 53, 53, 55, 55, 52, 52, 51, 52, 51, 50, 
##     51, 50, 47, 47, 45, 46, 45, 41, 39, 41, 38, 41, 38, 35, 32, 
##     37, 32, 28, 24, 22, 20, 11, 11, 10, 9, 8, 7, 9, 10, 10, 11, 
##     11, 12, 14, 17, 18, 20, 20, 19, 21, 22, 27, 27, 29, 34, 37, 
##     42, 44, 46, 44, 45, 45, 48, 50, 51, 50, 50, 56, 55, 54, 53, 
##     53, 52, 52, 52, 52, 53, 52, 52, 51, 47, 46, 49, 46, 42, 42, 
##     42, 40, 45, 44, 43, 43, 42, 43, 44, 44, 43, 41, 38, 43, 45, 
##     41, 40, 42, 45, 41, 39, 40, 41, 38, 42, 41, 42, 42, 48, 48, 
##     46, 49, 48, 47, 47, 44, 46, 49, 49, 47, 46, 44, 43, 42, 42, 
##     43, 44, 43, 42, 42, 41, 41, 42, 46, 47, 47, 47, 50, 49, 50, 
##     52, 53, 49, 48, 46, 45, 44, 44, 43, 40, 38, 40, 42, 43, 45, 
##     42, 41, 40, 40, 41, 41, 42, 42, 43, 43, 42, 41, 40, 40, 40, 
##     41, 41, 41, 42, 43, 42, 43, 41, 42, 42, 42, 42, 27, 27, 28, 
##     25, 28, 29, 30, 35, 39, 40, 42, 42, 45, 44, 45, 47, 47, 50, 
##     49, 51, 51, 7, 7, 7, 8, 8, 9, 10, 11, 11, 11, 12, 11, 13, 
##     14, 13, 13, 19, 21, 22, 24, 24, 22, 21, 22, 27, 8, 13, 14, 
##     20, 19, 18, 16, 18, 25, 29, 28, 31, 31, 29, 31, 38, 38, 46, 
##     46, 47, 46, 48, 49, 49, 49, 48, 48, 50, 50, 53, 54, 53, 51, 
##     50, 49, 51, 52, 52, 51, 51, 51, 52, 15, 17, 19, 22, 21, 22, 
##     23, 29, 28, 37, 37, 39, 39, 41, 45, 44, 42, 46, 50, 48, 30, 
##     30, 31, 32, 33, 32, 30, 32, 32, 30, 31, 32, 31, 31, 31, 32, 
##     32, 31, 31, 32, 38, 45, 48, 50, 52, 58, 51, 43, 27, 26, 27, 
##     25, 21, 22, 20, 20, 23, 26, 26, 28, 32, 41, 45, 47, 36, 34, 
##     32, 27, 25, 32, 21, 20, 21, 21, 24, 25, 32, 37, 51, 52, 48, 
##     38, 33, 31, 28, 27, 17, 19, 25, 37, 33, 34, 43, 41, 40, 38, 
##     39, 20, 26, 23, 29, 39, 29, 32, 40, 42, 42, 43, 33, 32, 32, 
##     35, 38, 39, 38, 48, 45, 45, 47, 30, 30, 30, 31, 31, 31, 30, 
##     31, 31, 31, 30, 31, 31, 30, 30, 30, 30, 31, 30, 30, 31, 30, 
##     31, 30, 31, 30, 30, 31, 31, 31, 42, 43, 43, 42, 42, 44, 39, 
##     38, 39, 40, 40, 38, 38, 38, 38, 38, 38, 39, 44, 44, 45, 49, 
##     46, 46, 46, 45, 42, 43, 44, 45, 44, 41, 38, 33, 30, 25, 24, 
##     23, 22, 22, 21, 21, 21, 22, 24, 29, 32, 42, 44, 47, 47, 44, 
##     41, 36, 36, 37, 39, 40, 42, 42, 43, 43, 43, 44, 45, 45, 43, 
##     41, 35, 33, 31, 30, 27, 20, 20, 49, 48, 42, 34, 31, 30, 28, 
##     27, 25, 24, 23, 22, 21, 22, 22, 26, 30, 31, 30, 31, 31, 31, 
##     36, 36, 37, 38, 40, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 35, 36, 36, 35, 36, 36, 36, 35, 36, 36, 36, 
##     35, 36, 36, 36, 37, 36, 36, 36, 36, 36, 36, 36, 35, 36, 36, 
##     36, 25, 42, 42, 45, 47, 47, 42, 39, 36, 35, 29, 31, 35, 35, 
##     35, 36, 40, 42, 40, 35, 35, 31, 32, 36, 36, 39, 40, 39, 38, 
##     43, 43, 42, 37, 33, 34, 36, 34, 35, 37, 37, 36, 38, 41, 43, 
##     42, 39, 38, 25, 24, 27, 27, 31, 30, 34, 32, 32, 37, 36, 36, 
##     35, 36, 33, 34, 34, 31, 30, 31, 28, 23, 24, 25, 25, 28, 30, 
##     39, 40, 39, 36, 35, 35, 35, 35, 33, 32, 27, 28, 30, 36, 43, 
##     44, 46, 46, 42, 38, 32, 32, 32, 32, 31, 32, 32, 32, 28, 27, 
##     23, 22, 30, 35, 35, 35, 34, 32, 32, 32, 29, 27, 25, 24, 23, 
##     25, 25, 25, 34, 33, 32, 33, 38, 35, 36, 38, 38, 30, 31, 30, 
##     29, 31, 33, 32, 32, 32, 35, 33, 34, 37, 37, 37, 38, 40, 43, 
##     41, 40, 45, 47, 50, 30, 33, 34, 40, 36, 31, 30, 31, 32, 32, 
##     32, 31, 29, 27, 25, 24, 22, 22, 25, 34, 35, 35, 33, 32, 33, 
##     33, 34, 33, 32, 32, 29, 28, 28, 26, 21, 23, 24, 28, 34, 34, 
##     32, 31, 31, 33, 34, 35, 44, 45, 46, 46, 51, 52, 51, 48, 46, 
##     38, 32, 27, 26, 25, 23, 22, 22, 24, 25, 27, 29, 38, 42, 44, 
##     45, 32, 31, 30, 44, 46, 46, 45, 47, 48, 43, 34, 27, 25, 25, 
##     26, 25, 25, 23, 24, 27, 29, 30, 33, 35, 36, 38, 39, 35, 33, 
##     43, 45, 43, 39, 37, 39, 43, 42, 39, 38, 38, 39, 40, 39, 37, 
##     37, 38, 37, 37, 38, 38, 38, 38, 37, 37, 37, 42, 36, 43, 41, 
##     39, 39, 36, 35, 35, 34, 35, 36, 36, 38, 38, 38, 37, 37, 38, 
##     40, 40, 40, 46, 44, 36, 27, 23, 20, 20, 20, 19, 16, 17, 34, 
##     41, 56, 57, 55, 34, 28, 20, 19, 10, 18, 27, 29, 38, 36, 38, 
##     40, 42, 41, 41, 39, 40, 46, 38, 37, 36, 40, 38, 38, 38, 39, 
##     41, 40, 43, 43, 46, 45, 39, 36, 34, 34, 27, 26, 24, 23, 22, 
##     24, 27, 35, 46, 51, 44, 37, 35, 33, 29, 27, 26, 20, 22, 23, 
##     32, 31, 34, 35, 34, 39, 36, 35, 34, 39, 39, 44, 45, 43, 37, 
##     39, 38, 37, 36, 35, 37, 36, 36, 37, 35, 36, 35, 34, 34, 34, 
##     35, 35, 33, 36, 35, 35, 32, 38, 39, 29, 28, 29, 30, 32, 29, 
##     29, 26, 25, 25, 27, 28, 29, 31, 31, 32, 30, 30, 29, 27, 33, 
##     37, 36, 33, 39, 39, 39, 39, 39, 38, 36, 31, 30, 29, 28, 28, 
##     24, 26, 26, 30, 32, 34, 34, 28, 27, 29, 29, 38, 38, 36, 38, 
##     36, 36, 36, 36, 37, 38, 38, 37, 36, 38, 39, 39, 37, 37, 36, 
##     37, 36, 37, 35, 37, 36, 37, 37, 39, 41, 38, 38, 36, 35, 37, 
##     37, 36, 36, 37, 35, 26, 28, 27, 27, 28, 26, 23, 24, 24, 28, 
##     29, 30, 32, 31, 32, 33, 32, 36, 29, 34, 36, 41, 34, 36, 37, 
##     36, 36, 35, 35, 38, 37, 38, 39, 36, 37, 36, 36, 37, 35, 35, 
##     35, 34, 32, 29, 29, 28, 27, 27, 24, 26, 26, 26, 26, 28, 28, 
##     28, 30, 25, 30, 31, 31, 36, 36, 37, 39, 34, 32, 32, 37, 38, 
##     38, 36, 36, 36, 36, 38, 37, 38, 39, 38, 38, 37, 36, 39, 37, 
##     36, 36, 34, 30, 28, 25, 23, 23, 24, 29, 24, 28, 27, 31, 32, 
##     35, 36, 42, 38, 37, 37, 38, 38, 35, 36, 35, 35, 37, 36, 36, 
##     36, 35, 39, 39, 37, 37, 36, 37, 35, 32, 32, 32, 30, 26, 27, 
##     28, 26, 26, 25, 26, 26, 27, 30, 27, 24, 31, 30, 33, 33, 33, 
##     32, 36, 35, 35, 35, 34, 34, 34, 35, 34, 36, 34, 34, 37, 37, 
##     34, 35, 34, 23, 22, 20, 21, 21, 22, 25, 27, 39, 50, 43, 40, 
##     32, 32, 29, 23, 22, 23, 22, 21, 23, 26, 28, 33, 35, 36, 35, 
##     35, 35, 34, 34, 37, 41, 44, 46, 46, 44, 42, 41, 40, 39, 38, 
##     38, 40, 39, 39, 39, 39, 45, 46, 46, 41, 37, 34, 32, 30, 24, 
##     24, 24, 21, 20, 20, 21, 23, 24, 25, 27, 28, 37, 48, 48, 43, 
##     33, 29, 25, 24, 23, 22, 21, 20, 20, 23, 25, 25, 26, 27, 30, 
##     33, 36, 35, 35, 36, 42, 42, 39, 37, 36, 37, 36, 36, 37, 36, 
##     34, 33, 36, 36, 36, 35, 34, 35, 36, 35, 36, 36, 36, 39, 41, 
##     41, 40, 39, 40, 32, 29, 29, 26, 24, 24, 25, 22, 21, 22, 22, 
##     24, 24, 25, 26, 29, 27, 31, 33, 31, 31, 36, 37, 33, 36, 37, 
##     37, 36, 38, 40, 40, 38, 38, 36, 38, 38, 35, 35, 35, 36, 36, 
##     36, 36, 37, 38, 39, 38, 39, 41, 40, 40, 43, 42, 41, 41, 37, 
##     34, 37, 37, 38, 37, 37, 37, 39, 40, 40, 41, 42, 42, 37, 38, 
##     41, 42, 42, 41, 37, 39, 40, 42, 41, 39, 38, 38, 38, 37, 38, 
##     38, 38, 37, 43, 43, 43, 42, 34, 33, 31, 27, 26, 24, 24, 25, 
##     26, 25, 26, 28, 32, 38, 37, 38, 39, 41, 40, 41, 41, 40, 39, 
##     38, 37, 37, 37, 37, 38, 38, 38, 40, 41, 42, 42, 40, 36, 35, 
##     33, 31, 30, 27, 27, 26, 26, 25, 25, 25, 24, 25, 25, 27, 31, 
##     32, 32, 32, 34, 38, 35, 40, 40, 39, 40, 37, 37, 36, 37, 37, 
##     38, 38, 38, 40, 40, 42, 43, 42, 42, 42, 39, 35, 34, 26, 25, 
##     24, 26, 25, 21, 21, 22, 23, 22, 23, 22, 23, 24, 25, 25, 27, 
##     27, 29, 30, 32, 30, 29, 33, 37, 34, 40, 40, 39, 39, 39, 39, 
##     37, 37, 37, 39, 40, 41, 43, 40, 38, 36, 30, 30, 29, 27, 24, 
##     25, 25, 24, 24, 24, 25, 26, 25, 25, 25, 27, 28, 28, 27, 29, 
##     27, 30, 39, 41, 41, 40, 41, 43, 44, 43, 44, 40, 34, 33, 33, 
##     32, 32, 28, 27, 26, 25, 27, 26, 25, 25, 26, 28, 30, 31, 31, 
##     37, 36, 39, 43, 39, 40, 39, 40, 42, 43, 42, 41, 38, 38, 39, 
##     38, 38, 39, 39, 40, 41, 42, 42, 42, 42, 42, 38, 37, 27, 27, 
##     26, 25, 24, 24, 25, 26, 29, 30, 30, 31, 38, 42, 44, 41, 39, 
##     40, 42, 43, 45, 45, 43, 42, 41, 40, 41, 39, 39, 38, 38, 38, 
##     36, 38, 37, 37, 39, 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 
##     40, 41, 39, 39, 39, 38, 38, 38, 37, 37, 41, 40, 39, 41, 39, 
##     38, 39, 38, 38, 38, 39, 39, 38, 40, 37, 38, 38, 38, 38, 38, 
##     37, 38, 39, 37, 37, 37, 39, 38, 38, 38, 40, 37, 38, 39, 38, 
##     37, 38, 39, 38, 39, 37, 37, 37, 37, 37, 39, 38, 39, 39, 40, 
##     39, 39, 38, 39, 39, 39, 39, 39, 38, 38, 38, 38, 38, 38, 38, 
##     39, 40, 41, 41, 43, 42, 40, 41, 41, 40, 39, 37, 37, 36, 34, 
##     32, 30, 30, 29, 29, 30, 32, 34, 32, 32, 30, 28, 28, 26, 26, 
##     30, 32, 32, 33, 29, 29, 30, 32, 30, 35, 35, 30, 35, 43, 41, 
##     40, 42, 41, 40, 40, 39, 40, 42, 42, 41, 41, 42, 43, 43, 43, 
##     40, 41, 40, 39, 39, 33, 35, 27, 25, 23, 21, 28, 27, 26, 23, 
##     24, 25, 25, 31, 30, 33, 36, 35, 37, 41, 40, 41, 40, 41, 43, 
##     43, 42, 41, 40, 38, 37, 34, 32, 29, 29, 25, 25, 26, 27, 25, 
##     25, 24, 24, 25, 28, 26, 31, 33, 33, 36, 38, 36, 37, 38, 38, 
##     40, 41, 44, 44, 42, 43, 41, 44, 44, 44, 43, 43, 43, 43, 42, 
##     42, 39, 39, 36, 35, 34, 25, 25, 27, 27, 24, 24, 31, 29, 28, 
##     31, 36, 39, 41, 40, 40, 41, 39, 39, 40, 44, 45, 44, 46, 45, 
##     42, 41, 39, 35, 35, 35, 34, 28, 26, 25, 26, 24, 25, 25, 26, 
##     25, 26, 27, 28, 28, 27, 30, 32, 39, 40, 40, 41, 43, 44, 49, 
##     51, 41, 43, 44, 43, 43, 42, 41, 45, 44, 47, 46, 45, 43, 44, 
##     41, 40, 42, 42, 42, 42, 44, 43, 43, 42, 43, 42, 42, 43, 41, 
##     40, 35, 31, 29, 26, 26, 27, 25, 26, 24, 24, 25, 25, 28, 26, 
##     29, 31, 33, 37, 33, 34, 38, 38, 37, 42, 44, 43, 41, 42, 42, 
##     42, 44, 43, 44, 43, 42, 42, 43, 43, 43, 43, 41, 37, 34, 31, 
##     30, 30, 28, 28, 27, 26, 26, 27, 28, 27, 27, 26, 25, 24, 25, 
##     25, 25, 27, 28, 31, 33, 39, 38, 41, 41, 40, 39, 38, 41, 39, 
##     40, 41, 40, 39, 42, 43, 42, 42, 44, 45, 44, 45, 41, 41, 40, 
##     36, 27, 24, 24, 31, 31, 32, 32, 31, 31, 32, 32, 32, 33, 32, 
##     35, 32, 35, 35, 37, 35, 35, 34, 36, 33, 32, 30, 29, 27, 27, 
##     26, 27, 26, 26, 28, 27, 25, 30, 30, 34, 27, 24, 22, 23, 26, 
##     29, 31, 33, 31, 41, 38, 41, 34, 32, 36, 42, 38, 35, 35, 36, 
##     36, 34, 35, 34, 36, 37, 40, 41, 41, 41, 39, 39, 39, 35, 35, 
##     35, 34, 35, 36, 30, 26, 25, 23, 25, 25, 33, 29, 28, 26, 26, 
##     26, 30, 32, 34, 43, 37, 34, 35, 37, 39, 36, 37, 37, 34, 33, 
##     41, 40, 43, 41, 40, 35, 29, 25, 24, 24, 24, 22, 24, 26, 28, 
##     29, 28, 25, 25, 20, 28, 33, 35, 35, 27, 25, 24, 23, 27, 25, 
##     26, 27, 26, 23, 24, 27, 32, 32, 32, 33, 33, 40, 37, 36, 40, 
##     37, 35, 32, 35, 35, 34, 36, 39, 39, 38, 39, 40, 40, 41, 38, 
##     39, 37, 33, 31, 25, 23, 22, 24, 25, 33, 26, 26, 31, 42, 37, 
##     34, 34, 38, 35, 35, 35, 39, 37, 36, 33, 34, 36, 37, 37, 39, 
##     40, 43, 40, 39, 39, 39, 36, 32, 29, 26, 27, 28, 28, 24, 23, 
##     27, 25, 25, 29, 30, 29, 28, 27, 26, 29, 40, 40, 36, 33, 42, 
##     43, 36, 35, 38, 36, 35, 36, 39, 43, 44, 40, 38, 30, 25, 24, 
##     24, 23, 23, 23, 23, 22, 22, 27, 24, 26, 28, 24, 25, 24, 25, 
##     29, 33, 43, 39, 34, 33, 37, 38, 36, 32, 35, 44, 42, 41, 37, 
##     34, 34, 31, 23, 24, 27, 28, 27, 31, 33, 28, 32, 38, 38, 31, 
##     42, 41, 38, 33, 36, 37, 37, 38, 39, 42, 43, 41, 39, 41, 35, 
##     23, 23, 29, 25, 25, 24, 22, 27, 28, 30, 30, 26, 26, 29, 30, 
##     48, 43, 43, 42, 39, 38, 31, 32, 42, 37, 37, 39, 44, 42, 38, 
##     40, 42, 41, 41, 39, 37, 33, 30, 30, 29, 27, 23, 24, 29, 35, 
##     35, 28, 23, 27, 31, 33, 25, 28, 41, 42, 39, 39, 33, 33, 33, 
##     35, 36, 35, 36, 31, 35, 33, 33, 32, 32, 32, 31, 31, 30, 31, 
##     31, 31, 32, 33, 32, 32, 32, 33, 31, 33, 31, 30, 33, 31, 31, 
##     32, 32, 30, 32, 32, 32, 31, 31, 32, 31, 31, 31, 32, 32, 31, 
##     32, 31, 31, 31, 32, 34, 33, 31, 36, 37, 41, 42, 46, 46, 46, 
##     46, 46, 46, 44, 44, 44, 45, 36, 33, 31, 28, 25, 25, 23, 24, 
##     26, 37, 35, 30, 27, 26, 25, 22, 25, 26, 27, 30, 43, 44, 42, 
##     47, 42, 42, 35, 38, 40, 48, 44, 48, 47, 49, 49, 49, 47, 42, 
##     34, 28, 24, 25, 25, 21, 20, 21, 45, 39, 36, 25, 24, 23, 21, 
##     22, 31, 42, 46, 47, 44, 37, 35, 36, 33, 36, 32, 30, 32, 31, 
##     30, 30, 30, 30, 31, 31, 32, 31, 31, 31, 31, 31, 31, 32, 30, 
##     30, 30, 32, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 
##     31, 30, 31, 31, 32, 31, 30, 32, 32, 32, 31, 31, 31, 31, 34, 
##     32, 33, 34, 34, 35, 37, 37, 38, 38, 38, 39, 40, 32, 30, 31, 
##     30, 29, 27, 29, 27, 26, 27, 29, 31, 31, 37, 45, 37, 34, 30, 
##     29, 30, 34, 31, 31, 33, 34, 35, 36, 36, 35, 35, 32, 30, 30, 
##     34, 34, 34, 33, 32, 34, 34, 33, 32, 33, 39, 40, 49, 54, 53, 
##     51, 52, 52, 52, 56, 51, 49, 47, 47, 44, 43, 43, 43, 38, 39, 
##     38, 37, 37, 37, 34, 33, 32, 31, 30, 31, 30, 46, 47, 48, 51, 
##     50, 53, 55, 54, 54, 55, 52, 45, 44, 43, 43, 39, 38, 38, 37, 
##     37, 37, 38, 36, 39, 44, 41, 41, 42, 46, 51, 58, 54, 48, 46, 
##     46, 49, 49, 50, 50, 49, 48, 46, 45, 43, 44, 44, 44, 43, 43, 
##     42, 42, 43, 44, 44, 44, 44, 43, 44, 48, 52, 54, 55, 55, 55, 
##     57, 55, 57, 58, 58, 57, 52, 49, 41, 44, 46, 38, 33, 31, 32, 
##     33, 32, 31, 33, 31, 31, 29, 28, 29, 29, 28, 28, 27, 28, 27, 
##     28, 26, 24, 24, 22, 23, 27, 36, 41, 46, 51, 54, 55, 51, 54, 
##     54, 51, 45, 44, 43, 42, 29, 28, 28, 28, 28, 28, 26, 26, 28, 
##     28, 27, 25, 27, 29, 29, 32, 31, 30, 32, 32, 30, 32, 33, 33, 
##     35, 34, 33, 32, 35, 35, 35, 34, 33, 33, 33, 34, 35, 36, 37, 
##     38, 37, 37, 36, 37, 37, 36, 35, 35, 34, 34, 34, 34, 35, 35, 
##     35, 34, 33, 32, 33, 34, 35, 36, 36, 36, 36, 38, 38, 39, 39, 
##     41, 41, 42, 43, 45, 45, 47, 52, 51, 49, 52, 53, 52, 51, 45, 
##     42, 42, 44, 45, 44, 43, 41, 41, 43, 46, 47, 48, 48, 48, 47, 
##     47, 47, 49, 46, 43, 42, 41, 42, 43, 46, 46, 48, 51, 50, 51, 
##     47, 48, 50, 51, 52, 38, 41, 43, 43, 44, 44, 45, 46, 48, 47, 
##     47, 47, 48, 49, 48, 47, 45, 44, 45, 45, 44, 44, 43, 44, 45, 
##     45, 45, 46, 46, 45, 46, 46, 45, 44, 44, 45, 46, 48, 48, 44, 
##     44, 44, 43, 44, 44, 44, 44, 44, 44, 44, 46, 46, 50, 48, 47, 
##     46, 46, 48, 51, 51, 49, 50, 49, 46, 41, 38, 38, 38, 41, 42, 
##     41, 39, 39, 39, 39, 40, 38, 37, 38, 41, 42, 43, 42, 43, 46, 
##     47, 49, 50, 48, 47, 46, 46, 45, 46, 46, 45, 43, 42, 43, 44, 
##     43, 41, 42, 42, 41, 42, 43, 45, 46, 46, 46, 46, 46, 46, 46, 
##     45, 43, 44, 44, 44, 43, 47, 46, 50, 47, 46, 45, 45, 44, 45, 
##     46, 50, 49, 48, 44, 44, 43, 45, 45, 43, 43, 43, 42, 40, 39, 
##     38, 38, 41, 38, 37, 39, 44, 46, 47, 47, 48, 49, 48, 47, 47, 
##     46, 47, 47, 48, 45, 44, 46, 48, 49, 48, 49, 49, 49, 50, 51, 
##     50, 46, 44, 44, 43, 42, 42, 42, 42, 43, 43, 40, 39, 39, 39, 
##     39, 39, 40, 41, 43, 43, 45, 45, 46, 47, 47, 48, 49, 48, 49, 
##     48, 48, 48, 47, 43, 43, 43, 44, 43, 43, 44, 46, 47, 47, 48, 
##     47, 46, 45, 45, 44, 43, 40, 41, 46, 46, 47, 45, 44, 44, 44, 
##     45, 47, 49, 49, 47, 46, 47, 47, 47, 46, 43, 42, 42, 43, 41, 
##     40, 40, 37, 37, 38, 40, 40, 39, 40, 41, 40, 45, 46, 48, 47, 
##     47, 46, 46, 47, 48, 45, 45, 45, 45, 43, 43, 43, 44, 44, 47, 
##     47, 48, 48, 49, 48, 48, 47, 46, 45, 44, 42, 41, 42, 40, 42, 
##     42, 44, 44, 46, 47, 51, 46, 47, 45, 45, 47, 40, 39, 40, 42, 
##     45, 43, 43, 41, 40, 40, 38, 39, 41, 46, 47, 48, 47, 46, 47, 
##     47, 47, 48, 48, 45, 44, 43, 42, 42, 43, 44, 43, 43, 44, 43, 
##     43, 43, 44, 45, 46, 47, 48, 46, 48, 48, 46, 43, 41, 41, 41, 
##     44, 45, 45, 45, 43, 43, 44, 43, 42, 44, 49, 44, 44, 43, 43, 
##     42, 42, 42, 43, 44, 51, 47, 47, 46, 47, 47, 45, 43, 42, 41, 
##     41, 40, 38, 40, 39, 39, 39, 36, 42, 44, 44, 40, 39, 37, 35, 
##     35, 34, 35, 32, 29, 33, 33, 33, 33, 32, 32, 32, 32, 32, 32, 
##     31, 31, 31, 31, 30, 30, 34, 35, 34, 34, 34, 33, 32, 34, 32, 
##     32, 32, 32, 33, 33, 32, 32, 31, 32, 32, 30, 30, 30, 28, 50, 
##     50, 49, 52, 57, 50, 41, 40, 42, 47, 45, 43, 42, 42, 44, 40, 
##     42, 43, 43, 41, 40, 41, 31, 30, 29, 29, 29, 28, 28, 27, 29, 
##     30, 28, 31, 31, 30, 40, 44, 46, 43, 48, 38, 33, 34, 30, 34, 
##     27, 24, 20, 23, 22, 19, 17, 18, 15, 13, 11, 11, 12, 39, 38, 
##     39, 41, 46, 50, 52, 52, 51, 53, 52, 53, 52, 53, 53, 54, 53, 
##     52, 51, 52, 52, 51, 51, 52, 51, 51, 46, 45, 41, 37, 37, 37, 
##     33, 30, 31, 30, 19, 23, 23, 24, 22, 16, 13, 12, 9, 8, 7, 
##     7, 7, 7, 4, 6, 8, 9, 11, 11, 10, 11, 11, 11, 10, 11, 11, 
##     14, 17, 17, 17, 18, 18, 18, 25, 26, 27, 26, 31, 33, 39, 42, 
##     40, 45, 46, 46, 49, 50, 52, 50, 53, 53, 57, 54, 52, 52, 52, 
##     51, 52, 53, 51, 52, 52, 51, 51, 51, 50, 50, 51, 51, 50, 52, 
##     49, 48, 48, 48, 41, 41, 41, 40, 35, 33, 36, 34, 32, 31, 28, 
##     25, 24, 23, 19, 23, 23, 15, 13, 13, 13, 13, 9, 8, 8, 13, 
##     12, 10, 9, 9, 9, 9, 11, 16, 17, 18, 20, 18, 20, 20, 20, 24, 
##     25, 26, 26, 28, 28, 24, 27, 32, 37, 40, 35, 42, 41, 42, 43, 
##     42, 42, 16, 14, 14, 15, 15, 14, 14, 15, 15, 16, 18, 18, 18, 
##     18, 19, 19, 20, 22, 27, 26, 22, 31, 31, 36, 35, 33, 32, 30, 
##     29, 28, 23, 23, 24, 23, 20, 19, 18, 16, 16, 15, 15, 15, 14, 
##     13, 8, 9, 10, 12, 14, 15, 13, 14, 14, 18, 19, 18, 17, 15, 
##     21, 24, 25, 27, 28, 30, 29, 32, 34, 35, 38, 35, 40, 41, 40, 
##     40, 41, 43, 42, 44, 43, 39, 40, 40, 35, 36, 32, 31, 30, 29, 
##     28, 25, 21, 24, 18, 17, 14, 15, 14, 13, 11, 7, 6, 5, 7, 8, 
##     10, 10, 10, 11, 11, 11, 11, 12, 14, 14, 14, 14, 15, 14, 16, 
##     16, 18, 21, 24, 24, 27, 31, 31, 38, 38, 37, 41, 41, 40, 43, 
##     43, 44, 44, 44, 44, 45, 45, 43, 42, 38, 39, 31, 34, 30, 31, 
##     28, 26, 18, 18, 16, 17, 17, 16, 10, 10, 11, 11, 39, 36, 40, 
##     43, 42, 44, 44, 47, 48, 48, 48, 46, 45, 45, 44, 46, 41, 42, 
##     29, 29, 33, 23, 24, 23, 26, 25, 25, 28, 30, 34, 37, 39, 41, 
##     44, 44, 42, 43, 44, 41, 44, 45, 45, 45, 43, 44, 43, 43, 42, 
##     43, 39, 37, 34, 30, 30, 31, 31, 29, 28, 25, 26, 21, 17, 17, 
##     20, 17, 13, 12, 11, 11, 12, 12, 13, 13, 12, 13, 14, 15, 15, 
##     20, 25, 21, 21, 20, 22, 21, 19, 16, 14, 13, 14, 16, 14, 15, 
##     16, 17, 18, 18, 24, 13, 15, 14, 15, 13, 14, 14, 18, 21, 22, 
##     22, 23, 23, 23, 22, 26, 28, 28, 30, 32, 35, 35, 37, 42, 36, 
##     42, 43, 42, 42, 44, 45, 45, 43, 42, 43, 43, 41, 38, 36, 36, 
##     37, 35, 43, 41, 40, 41, 42, 39, 34, 34, 36, 31, 31, 29, 31, 
##     31, 28, 27, 24, 24, 25, 20, 18, 16, 16, 10, 10, 10, 9, 9, 
##     11, 13, 13, 12, 18, 18, 18, 18, 18, 20, 21, 24, 26, 27, 27, 
##     25, 27, 32, 34, 36, 36, 35, 33, 32, 33, 34, 34, 33, 32, 32, 
##     32, 33, 33, 33, 33, 33, 32, 31, 30, 28, 27, 28, 31, 30, 30, 
##     31, 31, 32, 31, 31, 31, 30, 31, 30, 32, 31, 31, 31, 31, 31, 
##     31, 31, 44, 39, 40, 39, 37, 37, 41, 41, 41, 40, 41, 38, 44, 
##     43, 41, 36, 35, 30, 29, 26, 33, 31, 40, 37, 40, 38, 40, 42, 
##     42, 41, 41, 41, 40, 40, 39, 38, 37, 37, 32, 28, 29, 28, 25, 
##     27, 25, 26, 26, 26, 26, 24, 30, 30, 31, 32, 30, 31, 33, 34, 
##     38, 38, 37, 38, 38, 37, 32, 32, 31, 28, 25, 24, 26, 25, 24, 
##     24, 23, 24, 24, 24, 24, 26, 29, 30, 29, 33, 33, 34, 36, 36, 
##     38, 39, 39, 40, 40, 26, 27, 29, 29, 28, 27, 32, 32, 31, 36, 
##     40, 37, 36, 35, 38, 39, 41, 37, 36, 35, 35, 34, 37, 38, 40, 
##     35, 35, 37, 35, 36, 36, 37, 36, 39, 40, 41, 39, 38, 37, 36, 
##     38, 37, 38, 35, 34, 32, 30, 27, 27, 25, 23, 22, 33, 35, 36, 
##     39, 41, 39, 37, 33, 33, 38, 40, 40, 37, 36, 37, 35, 36, 37, 
##     36, 37, 38, 38, 40, 35, 36, 36, 36, 35, 35, 34, 37, 38, 40, 
##     40, 35, 34, 35, 36, 35, 34, 37, 39, 37, 41, 39, 32, 33, 33, 
##     29, 28, 21, 22, 24, 29, 34, 29, 26, 25, 30, 27, 29, 28, 31, 
##     34, 36, 46, 43, 29, 24, 24, 24, 23, 24, 23, 24, 25, 24, 26, 
##     28, 29, 31, 35, 36, 46, 47, 46, 43, 42, 42, 42, 40, 41, 41, 
##     41, 41, 39, 39, 40, 38, 36, 36, 37, 39, 38, 38, 37, 37, 37, 
##     36, 37, 38, 38, 38, 38, 38, 38, 38, 26, 27, 27, 25, 25, 31, 
##     28, 33, 31, 28, 36, 43, 39, 37, 41, 45, 43, 44, 46, 45, 46, 
##     46, 47, 41, 41, 43, 42, 39, 33, 30, 26, 22, 29, 33, 33, 33, 
##     32, 30, 28, 28, 27, 28, 28, 28, 28, 26, 29, 27, 30, 31, 32, 
##     36, 43, 42, 43, 45, 46, 46, 46, 45, 44, 42, 40, 40, 36, 33, 
##     29, 27, 26, 26, 24, 21, 44, 42, 41, 38, 37, 37, 37, 32, 30, 
##     27, 24, 23, 24, 33, 35, 33, 30, 30, 28, 27, 26, 28, 26, 25, 
##     29, 29, 28, 33, 33, 30, 28, 31, 38, 41, 42, 43, 45, 45, 47, 
##     45, 45, 45, 44, 43, 43, 42, 41, 40, 38, 35, 32, 28, 24, 24, 
##     23, 24, 26, 27, 28, 31, 33, 34, 29, 28, 28, 26, 27, 29, 27, 
##     27, 28, 27, 27, 27, 35, 38, 37, 38, 39, 36, 36, 35, 35, 35, 
##     35, 35, 33, 32, 30, 30, 27, 24, 23, 23, 28, 32, 32, 28, 34, 
##     32, 32, 33, 32, 36, 35, 34, 35, 35, 35, 34, 35, 35, 34, 33, 
##     34, 34, 34, 35, 35, 35, 34, 34, 34, 36, 37, 36, 37, 35, 36, 
##     34, 33, 32, 35, 35, 33, 34, 37, 34, 35, 37, 35, 36, 34, 35, 
##     34, 34, 33, 34, 32, 34, 34, 37, 38, 35, 38, 44, 37, 38, 35, 
##     33, 26, 25, 24, 29, 30, 29, 32, 32, 35, 35, 38, 36, 37, 38, 
##     36, 36, 36, 33, 29, 30, 29, 30, 33, 36, 37, 33, 31, 31, 27, 
##     27, 25, 26, 30, 28, 28, 42, 40, 38, 36, 35, 33, 33, 34, 35, 
##     36, 36, 37, 29, 28, 26, 30, 33, 29, 34, 33, 31, 36, 32, 34, 
##     38, 38, 37, 33, 34, 35, 33, 36, 37, 37, 38, 38, 39, 39, 37, 
##     33, 32, 31, 27, 27, 27, 27, 27, 28, 32, 34, 30, 30, 27, 27, 
##     29, 23, 29, 24, 31, 31, 36, 36, 34, 32, 30, 34, 34, 34, 37, 
##     37, 38, 39, 38, 38, 37, 35, 35, 33, 33, 32, 32, 28, 29, 26, 
##     27, 38, 38, 38, 37, 35, 35, 34, 33, 31, 30, 30, 30, 31, 31, 
##     27, 27, 26, 27, 28, 30, 31, 33, 32, 32, 29, 28, 26, 26, 26, 
##     25, 26, 28, 32, 37, 36, 33, 31, 33, 37, 45, 42, 42, 39, 33, 
##     33, 33, 33, 34, 35, 35, 39, 38, 37, 37, 37, 38, 37, 33, 31, 
##     30, 37, 38, 37, 36, 35, 34, 34, 35, 34, 34, 35, 37, 39, 40, 
##     39, 36, 32, 31, 32, 30, 29, 28, 29, 29, 30, 34, 33, 30, 29, 
##     29, 32, 29, 29, 27, 26, 29, 27, 28, 32, 31, 34, 29, 33, 39, 
##     35, 39, 41, 36, 31, 31, 35, 34, 34, 34, 37, 39, 40, 39, 37, 
##     37, 37, 36, 36, 35, 33, 31, 29, 28, 29, 30, 31, 33, 30, 29, 
##     29, 29, 30, 30, 29, 29, 29, 26, 32, 34, 37, 36, 36, 36, 38, 
##     36, 37, 38, 38, 37, 39, 36, 33, 31, 31, 30, 29, 29, 30, 28, 
##     28, 27, 29, 31, 35, 36, 33, 32, 29, 27, 28, 28, 43, 43, 43, 
##     41, 41, 42, 44, 47, 47, 47, 49, 48, 53, 54, 53, 51, 34, 41, 
##     42, 38, 40, 45, 44, 46, 45, 51, 52, 54, 55, 54, 53, 52, 49, 
##     50, 49, 47, 46, 46, 45, 44, 42, 40, 40, 37, 34, 35, 33, 35, 
##     36, 34, 33, 33, 31, 32, 35, 36, 35, 33, 32, 34, 35, 36, 35, 
##     35, 37, 39, 38, 36, 35, 41, 42, 42, 42, 45, 46, 47, 47, 50, 
##     50, 51, 50, 49, 49, 53, 55, 52, 52, 50, 50, 53, 50, 50, 47, 
##     47, 46, 42, 43, 43, 42, 39, 36, 39, 38, 35, 34, 32, 34, 40, 
##     38, 40, 39, 34, 37, 32, 35, 35, 34, 30, 31, 35, 31, 32, 31, 
##     31, 32, 33, 34, 34, 36, 36, 35, 36, 35, 35, 37, 37, 42, 43, 
##     43, 42, 44, 45, 47, 47, 48, 50, 50, 53, 54, 52, 53, 51, 52, 
##     51, 51, 49, 48, 44, 44, 44, 39, 40, 42, 37, 37, 40, 37, 35, 
##     35, 33, 32, 31, 33, 34, 36, 38, 35, 33, 33, 33, 37, 35, 31, 
##     38, 35, 38, 38, 40, 40, 42, 40, 39, 41, 47, 48, 45, 48, 48, 
##     49, 49, 47, 51, 51, 51, 52, 52, 52, 52, 52, 52, 52, 51, 52, 
##     50, 42, 44, 42, 41, 39, 40, 40, 38, 33, 34, 35, 34, 35, 32, 
##     34, 36, 36, 35, 35, 35, 36, 36, 36, 36, 36, 36, 35, 49, 50, 
##     49, 47, 43, 42, 31, 39, 40, 36, 32, 32, 38, 39, 36, 33, 32, 
##     31, 31, 32, 32, 36, 35, 33, 38, 37, 36, 41, 43, 46, 47, 48, 
##     49, 52, 53, 51, 51, 50, 50, 52, 50, 52, 54, 54, 54, 54, 51, 
##     48, 50, 51, 48, 49, 41, 44, 45, 41, 42, 41, 40, 35, 42, 32, 
##     30, 29, 29, 28, 27, 28, 29, 27, 27, 26, 25, 25, 27, 29, 28, 
##     32, 31, 36, 34, 38, 36, 37, 38, 39, 39, 39, 40, 41, 41, 40, 
##     38, 39, 36, 37, 39, 39, 39, 39, 39, 40, 39, 40, 41, 41, 41, 
##     41, 41, 42, 41, 33, 32, 32, 29, 32, 27, 25, 26, 23, 23, 23, 
##     22, 23, 24, 25, 23, 25, 31, 34, 38, 36, 36, 38, 37, 36, 36, 
##     36, 37, 40, 38, 38, 38, 38, 37, 37, 38, 35, 34, 35, 36, 36, 
##     35, 35, 35, 35, 35, 35, 35, 35, 36, 36, 35, 38, 37, 37, 23, 
##     26, 34, 37, 44, 41, 41, 48, 49, 46, 42, 39, 40, 39, 39, 39, 
##     42, 43, 44, 47, 47, 47, 46, 45, 43, 41, 34, 30, 27, 25, 25, 
##     24, 22, 21, 21, 31, 33, 34, 34, 33, 31, 29, 28, 27, 25, 24, 
##     20, 26, 27, 32, 36, 33, 35, 42, 42, 41, 41, 45, 42, 43, 43, 
##     42, 47, 44, 38, 38, 38, 38, 39, 40, 42, 43, 44, 45, 46, 46, 
##     46, 47, 48, 47, 44, 34, 31, 31, 28, 26, 25, 24, 21, 23, 38, 
##     42, 42, 39, 36, 33, 31, 29, 28, 24, 21, 22, 24, 25, 36, 35, 
##     43, 43, 41, 42, 48, 47, 48, 41, 39, 38, 38, 39, 42, 42, 44, 
##     48, 48, 48, 48, 49, 49, 46, 44, 38, 34, 33, 30, 25, 24, 22, 
##     22, 24, 28, 35, 44, 44, 42, 38, 30, 26, 22, 23, 24, 27, 26, 
##     29, 32, 38, 39, 37, 37, 39, 40, 41, 42, 42, 41, 42, 42, 42, 
##     41, 41, 39, 37, 36, 35, 37, 39, 38, 41, 43, 44, 41, 40, 39, 
##     38, 36, 32, 29, 25, 23, 23, 25, 27, 32, 40, 40, 38, 31, 28, 
##     26, 23, 23, 23, 24, 27, 29, 33, 42, 40, 41, 41, 44, 45, 45, 
##     42, 39, 36, 37, 38, 38, 38, 39, 39, 40, 42, 44, 45, 47, 47, 
##     43, 40, 39, 36, 30, 30, 29, 23, 22, 21, 23, 24, 25, 28, 31, 
##     37, 35, 29, 27, 26, 26, 26, 21, 19, 20, 22, 27, 29, 29, 31, 
##     35, 37, 42, 40, 40, 39, 49, 48, 45, 44, 43, 40, 41, 41, 41, 
##     43, 43, 43, 46, 48, 47, 47, 47, 43, 42, 41, 37, 28, 26, 23, 
##     24, 23, 22, 22, 22, 21, 27, 29, 35, 39, 31, 29, 28, 27, 26, 
##     25, 24, 23, 21, 21, 22, 25, 28, 36, 35, 35, 37, 38, 39, 40, 
##     44, 46, 45, 44, 42, 38, 37, 38, 39, 42, 44, 43, 46, 32, 28, 
##     27, 24, 23, 22, 22, 25, 26, 33, 37, 36, 37, 37, 35, 38, 38, 
##     38, 39, 41, 23, 23, 24, 24, 27, 26, 33, 34, 36, 37, 41, 41, 
##     42, 40, 42, 44, 47, 48, 49, 47, 46, 45, 41, 32, 30, 28, 26, 
##     26, 28, 28, 28, 25, 26, 25, 25, 25, 25, 23, 26, 27, 27, 27, 
##     28, 34, 37, 36, 38, 43, 43, 42, 41, 44, 49, 43, 43, 42, 39, 
##     38, 38, 38, 37, 37, 37, 37, 36, 38, 36, 37, 36, 37, 38, 36, 
##     37, 37, 37, 38, 37, 38, 37, 38, 38, 37, 38, 37, 38, 38, 38, 
##     38, 38, 40, 39, 38, 39, 40, 39, 39, 39, 38, 37, 35, 33, 31, 
##     30, 30, 29, 27, 28, 27, 28, 28, 28, 28, 28, 29, 30, 31, 30, 
##     31, 30, 28, 29, 27, 28, 29, 32, 29, 29, 32, 31, 39, 43, 44, 
##     45, 44, 41, 41, 41, 40, 38, 34, 33, 27, 24, 23, 25, 23, 27, 
##     31, 32, 31, 27, 28, 29, 27, 28, 29, 29, 30, 32, 29, 32, 35, 
##     42, 43, 44, 42, 42, 42, 42, 43, 41, 38, 38, 37, 36, 36, 36, 
##     32, 29, 28, 28, 27, 28, 28, 29, 30, 30, 26, 29, 25, 28, 28, 
##     25, 22, 24, 27, 32, 35, 36, 44, 44, 46, 46, 45, 44, 46, 47, 
##     44, 43, 42, 42, 41, 40, 38, 35, 32, 31, 31, 31, 29, 24, 24, 
##     28, 28, 29, 32, 30, 27, 28, 27, 27, 33, 31, 30, 27, 26, 27, 
##     22, 20, 20, 22, 23, 24, 25, 28, 33, 33, 32, 28, 27, 28, 28, 
##     25, 25, 26, 30, 28, 30, 32, 35, 40, 43, 43, 43, 43, 44, 44, 
##     45, 43, 41, 39, 37, 35, 30, 29, 28, 23, 26, 26, 27, 28, 31, 
##     28, 28, 27, 27, 33, 37, 39, 44, 44, 43, 31, 25, 25, 31, 39, 
##     39, 36, 34, 31, 28, 27, 31, 27, 28, 29, 27, 28, 36, 42, 44, 
##     42, 36, 37, 39, 41, 37, 37, 36, 33, 29, 27, 21, 23, 31, 32, 
##     38, 33, 31, 32, 32, 32, 30, 23, 32, 35, 29, 33, 32, 40, 46, 
##     46, 41, 32, 31, 30, 32, 36, 38, 42, 39, 27, 27, 27, 27, 27, 
##     25, 25, 25, 28, 35, 40, 41, 38, 32, 30, 29, 25, 33, 27, 24, 
##     31, 40, 46, 43, 38, 34, 39, 41, 43, 42, 37, 34, 35, 35, 36, 
##     37, 38, 38, 37, 41, 42, 41, 35, 29, 29, 32, 31, 27, 27, 27, 
##     27, 28, 27, 27, 30, 35, 39, 37, 33, 32, 31, 31, 31, 33, 34, 
##     33, 28, 33, 35, 41, 38, 28, 30, 32, 30, 32, 29, 32, 31, 25, 
##     26, 40, 32, 31, 34, 40, 40, 42, 37, 38, 40, 42, 42, 39, 38, 
##     37, 35, 38, 35, 29, 24, 28, 34, 39, 40, 35, 35, 32, 32, 33, 
##     27, 25, 22, 28, 33, 38, 35, 32, 35, 41, 38, 38, 39, 40, 39, 
##     38, 37, 37, 39, 35, 27, 28, 28, 32, 31, 34, 35, 38, 38, 38, 
##     38, 38, 36, 32, 32, 30, 29, 28, 28, 31, 25, 27, 35, 36, 32, 
##     34, 36, 35, 36, 38, 38, 38, 38, 37, 36, 32, 29, 26, 31, 30, 
##     27, 40, 32, 32, 30, 32, 34, 34, 33, 32, 31, 30, 26, 26, 26, 
##     28, 30, 32, 31, 28, 36, 37, 39, 40, 41, 40, 41, 43, 42, 40, 
##     40, 40, 37, 26, 24, 23, 23, 26, 32, 34, 31, 34, 34, 34, 33, 
##     34, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 33, 33, 33, 33, 
##     34, 33, 32, 33, 34, 32, 33, 33, 33, 33, 33, 33, 32, 32, 32, 
##     33, 33, 33, 33, 32, 32, 33, 33, 34, 34, 32, 32, 31, 32, 32, 
##     33, 32, 32, 33, 33, 33, 33, 32, 31, 32, 32, 32, 33, 33, 32, 
##     32, 32, 33, 32, 33, 33, 32, 32, 33, 33, 33, 33, 32, 32, 33, 
##     33, 33, 32, 32, 32, 32, 32, 32, 32, 33, 31, 32, 32, 32, 32, 
##     33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 
##     36, 37, 37, 37, 37, 36, 36, 36, 34, 33, 30, 28, 30, 32, 32, 
##     32, 33, 34, 34, 34, 33, 34, 33, 34, 34, 34, 32, 32, 33, 34, 
##     34, 34, 35, 34, 31, 32, 32, 33, 34, 33, 32, 32, 33, 41, 42, 
##     43, 44, 45, 44, 44, 49, 48, 49, 50, 49, 47, 45, 44, 43, 46, 
##     46, 45, 40, 48, 44, 43, 45, 43, 42, 42, 46, 46, 46, 50, 50, 
##     51, 48, 46, 45, 42, 41, 41, 40, 38, 45, 44, 43, 45, 47, 48, 
##     46, 44, 44, 44, 45, 47, 44, 43, 44, 45, 47, 47, 46, 46, 48, 
##     47, 45, 45, 42, 42, 40, 43, 43, 47, 48, 47, 49, 49, 47, 46, 
##     47, 45, 44, 44, 43, 42, 41, 41, 45, 44, 43, 44, 43, 41, 40, 
##     40, 43, 43, 44, 46, 47, 47, 45, 44, 43, 44, 47, 48, 46, 45, 
##     45, 46, 47, 47, 46, 46, 46, 45, 43, 42, 41, 41, 41, 39, 39, 
##     41, 41, 40, 36, 33, 32, 43, 42, 44, 45, 46, 46, 45, 44, 45, 
##     47, 47, 44, 41, 40, 42, 43, 45, 45, 44, 41, 40, 40, 42, 42, 
##     43, 45, 46, 47, 48, 48, 49, 49, 49, 49, 48, 49, 49, 49, 48, 
##     48, 48, 48, 47, 45, 46, 48, 48, 50, 38, 38, 39, 38, 39, 39, 
##     39, 40, 39, 40, 39, 40, 41, 45, 53, 53, 51, 50, 51, 51, 50, 
##     53, 52, 52, 51, 50, 50, 51, 52, 52, 53, 54, 55, 55, 54, 53, 
##     54, 56, 52, 48, 45, 37, 41, 41, 41, 40, 40, 40, 40, 40, 40, 
##     40, 40, 40, 41, 40, 40, 40, 40, 41, 43, 46, 47, 50, 49, 49, 
##     48, 49, 52, 54, 54, 53, 54, 55, 52, 51, 51, 50, 50, 51, 54, 
##     57, 57, 55, 53, 47, 45, 47, 49, 51, 48, 46, 44, 44, 44, 41, 
##     42, 42, 41, 43, 42, 42, 45, 45, 45, 46, 44, 43, 43, 44, 42, 
##     46, 48, 48, 49, 47, 48, 49, 54, 55, 54, 53, 54, 49, 48, 53, 
##     52, 49, 52, 55, 51, 50, 48, 48, 50, 53, 57, 56, 53, 45, 44, 
##     45, 43, 44, 43, 43, 42, 43, 42, 50, 50, 51, 53, 51, 51, 51, 
##     52, 53, 53, 51, 49, 50, 50, 50, 57, 43, 44, 44, 43, 42, 41, 
##     40, 40, 42, 44, 44, 46, 45, 45, 45, 43, 42, 42, 41, 43, 44, 
##     44, 45, 48, 48, 49, 47, 48, 49, 57, 62, 63, 62, 61, 53, 52, 
##     49, 48, 45, 44, 45, 44, 39, 37, 37, 39, 32, 33, 34, 33, 33, 
##     33, 34, 34, 33, 33, 32, 32, 32, 32, 32, 32, 31, 32, 33, 34, 
##     35, 37, 38, 47, 47, 47, 46, 49, 49, 48, 48, 47, 48, 47, 46, 
##     47, 47, 45, 44, 43, 44, 43, 42, 44, 44, 45, 45, 44, 43, 44, 
##     44, 38, 38, 38, 36, 35, 35, 35, 40, 38, 44, 47, 47, 47, 48, 
##     50, 48, 48, 47, 42, 45, 45, 37, 40, 42, 41, 41, 41, 42, 42, 
##     44, 47, 43, 46, 48, 49, 48, 45, 42, 40, 39, 42, 44, 46, 46, 
##     45, 44, 44, 44, 43, 43, 43, 42, 41, 40, 40, 41, 46, 48, 51, 
##     39, 39, 39, 39, 38, 38, 38, 37, 35, 35, 35, 38, 43, 44, 45, 
##     44, 45, 47, 16, 16, 16, 21, 26, 24, 26, 34, 36, 36, 39, 42, 
##     43, 44, 46, 44, 44, 43, 46, 45, 43, 42, 40, 38, 39, 39, 36, 
##     13, 14, 15, 16, 19, 20, 19, 18, 17, 16, 17, 17, 18, 19, 21, 
##     24, 24, 25, 25, 25, 27, 27, 29, 32, 33, 41, 40, 44, 43, 44, 
##     45, 38, 36, 34, 35, 35, 31, 26, 23, 21, 22, 25, 21, 21, 20, 
##     18, 15, 14, 12, 13, 14, 14, 11, 10, 8, 8, 8, 9, 12, 13, 13, 
##     14, 16, 17, 28, 28, 26, 23, 22, 23, 28, 30, 31, 33, 35, 39, 
##     39, 41, 42, 43, 44, 43, 44, 43, 42, 41, 41, 41, 40, 39, 39, 
##     38, 34, 31, 13, 13, 13, 13, 13, 13, 16, 15, 16, 21, 24, 25, 
##     25, 23, 21, 19, 22, 23, 25, 26, 28, 31, 35, 37, 35, 38, 38, 
##     39, 39, 40, 42, 44, 44, 21, 21, 19, 20, 21, 20, 19, 21, 21, 
##     25, 28, 28, 24, 20, 20, 20, 22, 23, 27, 27, 27, 31, 34, 37, 
##     36, 38, 36, 37, 38, 38, 36, 42, 45, 44, 43, 45, 46, 51, 51, 
##     50, 53, 55, 57, 54, 52, 52, 51, 52, 43, 44, 47, 46, 48, 50, 
##     50, 51, 51, 50, 50, 53, 52, 52, 54, 52, 52, 52, 51, 51, 51, 
##     52, 51, 49, 50, 48, 48, 46, 47, 48, 42, 41, 37, 40, 41, 39, 
##     36, 34, 34, 35, 36, 36, 38, 39, 40, 42, 45, 51, 50, 52, 49, 
##     46, 45, 42, 47, 39, 39, 38, 36, 37, 37, 36, 36, 37, 35, 33, 
##     34, 38, 38, 39, 36, 35, 35, 34, 34, 43, 42, 43, 45, 47, 42, 
##     42, 43, 42, 40, 39, 36, 39, 30, 22, 23, 17, 25, 25, 38, 26, 
##     31, 31, 24, 20, 20, 19, 18, 20, 19, 15, 13, 10, 8, 8, 9, 
##     10, 13, 14, 14, 14, 36, 35, 33, 30, 31, 28, 29, 27, 23, 23, 
##     22, 20, 22, 21, 20, 18, 15, 17, 16, 16, 16, 14, 35, 37, 37, 
##     36, 35, 33, 33, 33, 33, 32, 33, 33, 34, 34, 33, 32, 33, 33, 
##     33, 33, 33, 33, 33, 33, 33, 33, 29, 27, 27, 27, 36, 35, 32, 
##     31, 30, 33, 38, 41, 45, 44, 40, 37, 34, 34, 34, 32, 28, 28, 
##     31, 31, 26, 25, 32, 31, 36, 40, 35, 35, 36, 37, 41, 32, 32, 
##     33, 36, 26, 28, 27, 24, 25, 33, 39, 39, 36, 36, 34, 34, 34, 
##     29, 32, 25, 31, 26, 34, 32, 30, 30, 36, 35, 36, 39, 39, 37, 
##     44, 41, 38, 35, 23, 22, 22, 22, 40, 40, 38, 34, 31, 26, 22, 
##     21, 22, 24, 30, 35, 37, 40, 38, 40, 47, 49, 47, 45, 41, 40, 
##     39, 38, 39, 39, 40, 40, 42, 44, 47, 49, 47, 48, 48, 46, 46, 
##     43, 43, 46, 46, 46, 47, 47, 44, 44, 40, 39, 37, 30, 30, 27, 
##     25, 23, 22, 22, 21, 24, 26, 34, 35, 33, 30, 29, 26, 24, 23, 
##     22, 24, 20, 21, 29, 35, 36, 39, 39, 37, 36, 40, 35, 37, 42, 
##     43, 44, 46, 48, 43, 40, 38, 37, 39, 39, 41, 42, 38, 37, 37, 
##     35, 34, 35, 34, 33, 33, 33, 31, 31, 25, 25, 25, 24, 21, 23, 
##     30, 32, 31, 26, 24, 24, 23, 23, 29, 29, 28, 29, 28, 27, 34, 
##     38, 36, 33, 30, 32, 33, 28, 28, 25, 26, 28, 32, 29, 31, 28, 
##     32, 41, 40, 39, 33, 35, 33, 30, 29, 26, 25, 27, 28, 25, 31, 
##     29, 30, 31, 38, 39, 37, 38, 39, 38, 38, 38, 36, 36, 37, 36, 
##     35, 35, 36, 33, 31, 30, 30, 33, 36, 39, 30, 32, 32, 33, 29, 
##     29, 27, 24, 26, 25, 25, 26, 25, 27, 27, 32, 28, 28, 29, 29, 
##     30, 28, 29, 31, 36, 23, 24, 27, 29, 30, 30, 31, 33, 32, 31, 
##     27, 27, 27, 27, 28, 28, 28, 28, 30, 29, 30, 30, 31, 33, 33, 
##     42, 43, 42, 44, 44, 26, 26, 27, 28, 28, 27, 29, 32, 31, 31, 
##     35, 39, 41, 43, 46, 43, 40, 39, 38, 37, 35, 35, 34, 33, 32, 
##     33, 34, 37, 38, 42, 38, 38, 37, 35, 35, 33, 34, 35, 35, 36, 
##     37, 38, 40, 41, 44, 31, 31, 31, 32, 31, 32, 35, 35, 35, 36, 
##     34, 34, 34, 33, 34, 36, 36, 35, 35, 35, 31, 31, 31, 32, 34, 
##     33, 32, 33, 28, 28, 29, 31, 32, 33, 36, 38, 37, 36, 37, 38, 
##     38, 37, 43, 44, 52, 50, 47, 49, 44, 44, 41, 40, 41, 40, 41, 
##     44, 46, 45, 43, 46, 48, 50, 54, 53, 55, 56, 56, 54, 53, 52, 
##     49, 47, 42, 37, 33, 26, 28, 30, 29, 31, 34, 32, 31, 33, 33, 
##     34, 34, 32, 33, 33, 32, 33, 34, 32, 32, 32, 36, 35, 39, 37, 
##     38, 49, 47, 44, 46, 42, 47, 46, 50, 50, 45, 45, 43, 43, 44, 
##     44, 45, 46, 51, 51, 51, 51, 51, 52, 54, 58, 55, 52, 50, 47, 
##     45, 41, 41, 40, 39, 37, 37, 37, 34, 33, 31, 29, 28, 29, 27, 
##     27, 29, 31, 32, 34, 32, 32, 31, 30, 30, 28, 30, 29, 30, 30, 
##     28, 29, 44, 44, 45, 46, 51, 51, 52, 51, 50, 54, 55, 53, 27, 
##     34, 33, 35, 41, 41, 44, 45, 43, 42, 40, 39, 39, 37, 39, 40, 
##     37, 37, 37, 37, 37, 37, 37, 36, 36, 38, 37, 36, 37, 37, 36, 
##     38, 37, 38, 36, 36, 36, 36, 37, 37, 36, 37, 37, 36, 39, 38, 
##     38, 38, 37, 36, 36, 37, 37, 40, 42, 42, 44, 46, 45, 37, 37, 
##     37, 29, 28, 29, 27, 22, 22, 23, 24, 25, 27, 28, 31, 35, 37, 
##     40, 43, 45, 44, 43, 40, 36, 35, 36, 37, 38, 38, 38, 37, 34, 
##     31, 28, 27, 23, 24, 31, 30, 30, 32, 35, 43, 44, 45, 47, 46, 
##     48, 51, 53, 50, 43, 42, 42, 42, 44, 45, 46, 49, 50, 49, 49, 
##     49, 45, 38, 35, 29, 27, 27, 23, 23, 23, 24, 24, 24, 29, 36, 
##     49, 49, 39, 37, 35, 35, 36, 37, 38, 37, 33, 31, 23, 23, 22, 
##     22, 23, 28, 30, 29, 32, 35, 38, 40, 41, 47, 46, 45, 43, 43, 
##     45, 47, 46, 45, 30, 29, 27, 24, 22, 26, 31, 31, 32, 36, 37, 
##     48, 48, 47, 50, 52, 47, 45, 45, 47, 51, 48, 34, 25, 21, 21, 
##     21, 22, 39, 46, 41, 34, 32, 32, 33, 31, 29, 27, 26, 25, 21, 
##     27, 27, 33, 36, 34, 38, 39, 37, 38, 39, 42, 41, 40, 42, 43, 
##     42, 41, 41, 41, 41, 40, 38, 34, 33, 32, 28, 27, 26, 26, 24, 
##     26, 28, 31, 43, 46, 51, 44, 37, 33, 33, 33, 29, 29, 28, 26, 
##     25, 23, 23, 21, 21, 21, 21, 24, 25, 26, 27, 28, 30, 33, 35, 
##     44, 40, 40, 39, 38, 36, 35, 34, 32, 31, 30, 26, 26, 24, 23, 
##     23, 24, 26, 28, 27, 31, 33, 32, 34, 37, 39, 43, 42, 41, 43, 
##     44, 43, 43, 44, 45, 47, 48, 49, 47, 42, 31, 24, 22, 22, 23, 
##     32, 36, 38, 40, 41, 41, 38, 34, 31, 31, 29, 28, 24, 24, 28, 
##     30, 26, 27, 36, 33, 41, 43, 46, 46, 45, 45, 44, 47, 47, 51, 
##     52, 52, 51, 46, 40, 40, 39, 36, 34, 32, 30, 28, 25, 29, 38, 
##     42, 47, 46, 37, 35, 33, 31, 30, 28, 24, 23, 20, 20, 25, 27, 
##     28, 30, 36, 37, 33, 33, 40, 39, 38, 39, 41, 42, 45, 46, 44, 
##     45, 46, 49, 47, 48, 48, 46, 44, 42, 39, 38, 37, 36, 36, 31, 
##     28, 25, 24, 25, 28, 30, 47, 52, 48, 45, 41, 37, 35, 34, 33, 
##     33, 32, 30, 29, 27, 26, 26, 25, 23, 23, 23, 24, 33, 37, 41, 
##     41, 41, 44, 45, 46, 48, 47, 45, 38, 38, 37, 37, 36, 36, 35, 
##     35, 35, 37, 36, 36, 36, 37, 37, 38, 37, 38, 37, 38, 38, 39, 
##     39, 39, 39, 39, 39, 38, 37, 38, 36, 36, 34, 37, 37, 36, 36, 
##     35, 33, 34, 33, 34, 35, 35, 34, 35, 34, 33, 33, 33, 34, 36, 
##     35, 36, 36, 36, 35, 35, 35, 35, 36, 36, 35, 36, 40, 33, 34, 
##     38, 40, 42, 38, 37, 36, 37, 39, 39, 38, 39, 39, 39, 39, 39, 
##     37, 37, 36, 29, 29, 27, 35, 31, 30, 29, 22, 24, 30, 39, 37, 
##     40, 35, 27, 30, 35, 33, 26, 27, 28, 31, 32, 33, 35, 33, 39, 
##     39, 38, 37, 35, 34, 35, 35, 36, 34, 35, 39, 40, 40, 43, 45, 
##     48, 49, 47, 53, 54, 44, 42, 31, 30, 54, 64, 73, 57, 38, 36, 
##     34, 35, 33, 32, 26, 24, 22, 38, 39, 39, 39, 39, 44, 46, 42, 
##     41, 52, 42, 40, 41, 39, 39, 38, 38, 39, 42, 43, 45, 48, 44, 
##     42, 35, 33, 29, 27, 30, 27, 24, 30, 48, 78, 37, 32, 32, 30, 
##     25, 26, 32, 39, 37, 36, 41, 35, 34, 34, 33, 38, 37, 36, 36, 
##     35, 36, 38, 38, 41, 39, 36, 37, 36, 37, 36, 41, 41, 41, 41, 
##     41, 46, 48, 47, 49, 52, 54, 51, 50, 52, 54, 52, 52, 53, 46, 
##     47, 43, 47, 42, 43, 42, 30, 42, 41, 42, 42, 39, 36, 37, 34, 
##     32, 33, 31, 31, 31, 38, 38, 37, 34, 34, 35, 34, 36, 37, 36, 
##     40, 44, 44, 43, 45, 47, 49, 51, 50, 52, 51, 51, 52, 51, 54, 
##     54, 55, 52, 54, 53, 52, 52, 53, 50, 52, 49, 48, 48, 49, 46, 
##     46, 47, 52, 48, 42, 47, 42, 42, 37, 40, 36, 38, 35, 30, 31, 
##     25, 27, 27, 29, 25, 22, 21, 17, 16, 15, 14, 15, 12, 11, 16, 
##     15, 13, 12, 10, 9, 8, 8, 9, 10, 9, 8, 8, 7, 8, 8, 8, 8, 8, 
##     7, 7, 7, 7, 8, 8, 11, 17, 19, 21, 23, 23, 23, 22, 20, 18, 
##     19, 21, 23, 24, 23, 24, 21, 22, 24, 21, 25, 33, 41, 44, 46, 
##     48, 52, 52, 55, 57, 57, 57, 56, 54, 53, 54, 51, 50, 51, 50, 
##     50, 45, 43, 42, 39, 39, 41, 42, 39, 36, 31, 30, 32, 28, 30, 
##     29, 21, 20, 18, 15, 14, 15, 16, 14, 12, 13, 13, 11, 10, 13, 
##     13, 17, 19, 18, 20, 23, 25, 30, 20, 21, 34, 33, 34, 38, 44, 
##     40, 41, 45, 48, 47, 51, 49, 51, 54, 53, 55, 55, 55, 56, 54, 
##     54, 53, 53, 53, 51, 49, 48, 49, 46, 43, 42, 38, 34, 37, 31, 
##     29, 22, 22, 22, 25, 20, 17, 18, 18, 18, 18, 17, 17, 17, 16, 
##     16, 17, 18, 19, 19, 20, 20, 20, 20, 22, 24, 26, 25, 26, 24, 
##     26, 28, 31, 37, 42, 42, 47, 49, 50, 57, 56, 55, 54, 52, 52, 
##     52, 51, 51, 50, 47, 46, 46, 45, 43, 45, 40, 37, 35, 33, 33, 
##     33, 30, 29, 29, 19, 19, 21, 18, 20, 19, 20, 17, 15, 14, 16, 
##     17, 18, 20, 21, 19, 17, 18, 20, 20, 20, 19, 20, 22, 24, 24, 
##     22, 23, 24, 26, 24, 28, 27, 28, 37, 37, 40, 44, 48, 51, 51, 
##     49, 45, 50, 52, 55, 55, 53, 55, 56, 55, 54, 53, 52, 51, 48, 
##     48, 49, 46, 42, 42, 46, 47, 41, 39, 40, 35, 30, 25, 30, 23, 
##     28, 20, 19, 19, 19, 18, 20, 20, 19, 17, 15, 16, 17, 17, 16, 
##     16, 18, 18, 19, 23, 31, 34, 35, 34, 35, 26, 27, 34, 38, 41, 
##     43, 46, 48, 49, 53, 51, 55, 57, 57, 57, 56, 54, 54, 53, 54, 
##     55, 54, 52, 51, 52, 52, 49, 47, 12, 15, 16, 18, 19, 20, 21, 
##     22, 21, 18, 16, 15, 18, 23, 25, 26, 29, 36, 43, 45, 45, 47, 
##     47, 48, 46, 50, 56, 57, 59, 60, 58, 58, 57, 55, 54, 53, 52, 
##     51, 51, 51, 51, 48, 46, 46, 44, 41, 37, 34, 34, 30, 26, 24, 
##     22, 21, 24, 25, 23, 22, 20, 19, 20, 22, 24, 24, 23, 22, 23, 
##     26, 28, 24, 23, 26, 29, 37, 42, 45, 43, 46, 47, 49, 55, 53, 
##     54, 55, 55, 54, 53, 53, 55, 51, 52, 48, 49, 47, 40, 40, 37, 
##     31, 34, 27, 25, 28, 23, 23, 22, 22, 23, 24, 21, 17, 16, 16, 
##     16, 17, 16, 19, 21, 25, 25, 24, 21, 22, 24, 30, 30, 31, 33, 
##     23, 25, 34, 37, 39, 40, 45, 46, 51, 53, 51, 58, 58, 58, 57, 
##     56, 55, 54, 54, 52, 52, 52, 49, 49, 49, 48, 47, 44, 42, 42, 
##     42, 37, 36, 33, 32, 31, 36, 37, 29, 20, 16, 19, 21, 20, 18, 
##     16, 13, 13, 16, 19, 20, 20, 19, 19, 20, 21, 23, 23, 22, 22, 
##     24, 24, 28, 30, 36, 35, 35, 40, 41, 46, 45, 54, 58, 54, 54, 
##     58, 57, 52, 51, 52, 51, 49, 49, 50, 47, 43, 36, 34, 36, 30, 
##     28, 37, 34, 36, 32, 32, 26, 24, 21, 19, 17, 14, 16, 17, 19, 
##     20, 21, 42, 44, 43, 42, 40, 38, 36, 37, 39, 39, 36, 36, 36, 
##     36, 36, 36, 35, 35, 35, 34, 33, 33, 34, 34, 35, 35, 35, 34, 
##     35, 35, 35, 35, 35, 35, 34, 35, 35, 35, 37, 36, 36, 36, 39, 
##     38, 39, 42, 43, 43, 44, 43, 41, 36, 34, 32, 31, 20, 24, 27, 
##     30, 35, 34, 28, 27, 27, 26, 27, 26, 28, 31, 29, 28, 33, 34, 
##     35, 43, 43, 41, 38, 36, 35, 35, 35, 35, 28, 25, 23, 26, 30, 
##     36, 35, 35, 31, 24, 23, 23, 24, 30, 33, 37, 40, 37, 34, 30, 
##     27, 26, 26, 26, 26, 27, 29, 30, 32, 35, 38, 38, 39, 40, 41, 
##     43, 43, 43, 44, 43, 42, 41, 34, 33, 32, 29, 27, 26, 23, 23, 
##     22, 23, 28, 37, 40, 36, 31, 28, 27, 27, 25, 25, 24, 25, 26, 
##     34, 34, 37, 39, 40, 38, 39, 40, 41, 42, 43, 43, 41, 40, 36, 
##     36, 35, 28, 24, 23, 23, 25, 28, 32, 37, 40, 41, 29, 28, 28, 
##     27, 26, 25, 25, 25, 24, 24, 31, 32, 31, 34, 36, 36, 38, 39, 
##     42, 43, 44, 45, 47, 47, 44, 44, 44, 44, 43, 37, 32, 27, 26, 
##     24, 23, 23, 28, 39, 33, 29, 27, 26, 25, 24, 24, 24, 28, 27, 
##     28, 34, 33, 33, 36, 36, 41, 41, 41, 42, 46, 47, 48, 47, 47, 
##     47, 42, 36, 34, 28, 27, 24, 22, 21, 21, 21, 29, 38, 33, 31, 
##     28, 27, 26, 24, 25, 25, 28, 29, 28, 31, 34, 36, 43, 43, 42, 
##     44, 45, 47, 47, 42, 37, 35, 45, 44, 47, 46, 46, 45, 43, 43, 
##     42, 40, 38, 31, 28, 23, 22, 22, 23, 24, 34, 36, 32, 30, 29, 
##     27, 25, 25, 25, 24, 24, 27, 27, 33, 34, 35, 35, 36, 38, 42, 
##     43, 45, 46, 46, 48, 49, 48, 48, 47, 46, 46, 46, 45, 44, 42, 
##     42, 41, 40, 34, 32, 27, 22, 22, 23, 32, 35, 31, 27, 25, 25, 
##     25, 25, 25, 27, 29, 30, 30, 34, 33, 37, 38, 32, 34, 33, 33, 
##     35, 35, 39, 41, 41, 42, 42, 40, 40, 40, 39, 39, 39, 37, 35, 
##     36, 37, 34, 36, 36, 36, 36, 36, 38, 38, 36, 36, 36, 37, 36, 
##     36, 37, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 37, 36, 36, 36, 36, 36, 36, 37, 34, 38, 
##     36, 35, 34, 34, 36, 38, 35, 34, 32, 30, 29, 33, 33, 33, 33, 
##     33, 33, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 32, 32, 33, 
##     32, 32, 33, 33, 33, 32, 32, 33, 33, 33, 32, 33, 33, 30, 29, 
##     30, 31, 32, 32, 32, 32, 32, 31, 35, 43, 47, 44, 48, 52, 50, 
##     49, 45, 29, 28, 23, 23, 40, 49, 43, 38, 23, 26, 20, 20, 23, 
##     30, 34, 42, 46, 60, 50, 44, 41, 40, 42, 53, 53, 52, 54, 49, 
##     50, 49, 38, 33, 33, 32, 29, 27, 26, 23, 27, 32, 39, 39, 49, 
##     49, 57, 57, 57, 51, 45, 39, 32, 29, 20, 26, 30, 30, 39, 34, 
##     35, 45, 48, 47, 39, 39, 43, 39, 37, 41, 45, 48, 53, 47, 42, 
##     32, 32, 27, 25, 23, 22, 32, 32, 34, 42, 45, 45, 37, 32, 23, 
##     21, 20, 29, 28, 28, 30, 28, 33, 62, 54, 43, 31, 28, 29, 43, 
##     47, 47, 47, 49, 50, 49, 51, 41, 38, 30, 26, 23, 26, 32, 41, 
##     40, 36, 36, 34, 32, 27, 25, 21, 27, 19, 24, 37, 39, 33, 47, 
##     48, 46, 45, 36, 40, 47, 48, 48, 50, 47, 31, 23, 26, 26, 27, 
##     30, 33, 33, 38, 41, 37, 22, 19, 27, 28, 27, 28, 35, 34, 40, 
##     55, 48, 42, 44, 43, 36, 37, 40, 44, 44, 42, 44, 45, 46, 47, 
##     45, 46, 44, 42, 42, 39, 35, 27, 22, 22, 23, 25, 27, 27, 27, 
##     30, 33, 35, 36, 38, 38, 37, 35, 28, 24, 22, 26, 24, 20, 26, 
##     30, 36, 38, 44, 49, 45, 43, 40, 38, 39, 38, 42, 43, 45, 47, 
##     45, 45, 38, 37, 29, 27, 24, 26, 28, 45, 48, 46, 35, 29, 27, 
##     29, 22, 24, 20, 21, 38, 36, 33, 46, 54, 45, 46, 44, 39, 40, 
##     40, 42, 30, 43, 48, 48, 40, 37, 37, 35, 41, 45, 45, 46, 45, 
##     40, 38, 35, 25, 22, 23, 36, 43, 46, 41, 38, 32, 28, 23, 25, 
##     26, 41, 38, 45, 56, 47, 40, 45, 57, 40, 31, 35, 39, 47, 44, 
##     37, 35, 35, 34, 35, 36, 29, 29, 30, 30, 30, 30, 31, 30, 31, 
##     31, 31, 31, 31, 31, 30, 31, 31, 30, 30, 31, 32, 31, 30, 31, 
##     31, 31, 31, 31, 31, 31, 31, 29, 30, 30, 31, 30, 30, 29, 31, 
##     31, 30, 31, 30, 30, 30, 30, 31, 31, 54, 54, 53, 54, 54, 55, 
##     55, 55, 51, 47, 44, 42, 42, 42, 42, 41, 41, 41, 40, 42, 43, 
##     45, 45, 45, 46, 46, 44, 43, 42, 43, 43, 41, 42, 42, 44, 45, 
##     45, 47, 49, 50, 49, 49, 51, 52, 52, 54, 56, 54, 54, 52, 49, 
##     49, 49, 49, 49, 49, 50, 50, 50, 50, 51, 51, 52, 53, 55, 56, 
##     56, 55, 56, 55, 53, 48, 44, 43, 41, 42, 37, 37, 38, 39, 40, 
##     42, 43, 42, 41, 41, 43, 43, 40, 41, 43, 44, 45, 46, 47, 49, 
##     50, 50, 51, 53, 52, 52, 51, 50, 51, 51, 52, 53, 54, 52, 45, 
##     46, 47, 47, 46, 46, 47, 48, 49, 52, 54, 57, 60, 62, 62, 58, 
##     56, 53, 49, 38, 40, 42, 40, 40, 41, 40, 38, 39, 41, 41, 42, 
##     43, 42, 44, 44, 42, 42, 41, 45, 47, 48, 47, 48, 48, 49, 49, 
##     50, 52, 52, 52, 49, 48, 49, 50, 50, 51, 50, 47, 46, 47, 48, 
##     48, 51, 53, 55, 57, 58, 59, 58, 56, 53, 52, 51, 49, 49, 48, 
##     40, 38, 37, 37, 38, 39, 43, 43, 42, 41, 41, 41, 41, 42, 42, 
##     42, 41, 42, 42, 40, 39, 41, 42, 46, 47, 50, 55, 52, 52, 48, 
##     51, 54, 54, 51, 51, 50, 50, 49, 49, 49, 48, 50, 51, 52, 52, 
##     52, 51, 54, 54, 56, 58, 56, 53, 52, 37, 41, 45, 46, 47, 50, 
##     53, 48, 50, 52, 53, 55, 54, 54, 48, 48, 48, 48, 49, 50, 51, 
##     51, 51, 50, 50, 50, 50, 51, 54, 53, 53, 54, 55, 54, 53, 52, 
##     47, 39, 38, 38, 39, 38, 37, 37, 37, 38, 41, 42, 43, 41, 41, 
##     42, 42, 42, 42, 42, 42, 42, 38, 36, 35, 35, 35, 36, 38, 40, 
##     41, 41, 43, 47, 46, 46, 48, 49, 51, 53, 53, 52, 50, 48, 41, 
##     40, 40, 40, 40, 40, 40, 33, 33, 32, 32, 31, 32, 33, 33, 32, 
##     32, 32, 32, 34, 35, 34, 34, 33, 33, 33, 34, 34, 35, 35, 36, 
##     36, 35, 36, 36, 36, 37, 36, 36, 35, 36, 36, 36, 38, 37, 37, 
##     35, 35, 35, 36, 35, 36, 36, 37, 37, 36, 36, 36, 38, 39, 42, 
##     49, 50, 55, 57, 55, 56, 57, 53, 48, 46, 40, 37, 36, 35, 33, 
##     32, 29, 23, 23, 22, 22, 24, 25, 28, 28, 26, 27, 26, 25, 26, 
##     26, 26, 26, 27, 28, 28, 28, 28, 28, 29, 28, 48, 48, 47, 45, 
##     45, 42, 41, 39, 37, 36, 38, 47, 43, 41, 55, 53, 52, 56, 53, 
##     51, 49, 47, 29, 29, 31, 32, 31, 33, 37, 37, 38, 36, 39, 40, 
##     40, 43, 48, 50, 50, 49, 37, 37, 37, 37, 37, 37, 37, 37, 37, 
##     36, 36, 35, 36, 35, 36, 35, 35, 35, 34, 34, 34, 33, 32, 33, 
##     33, 33, 33, 50, 49, 48, 47, 46, 46, 47, 47, 40, 39, 41, 41, 
##     39, 39, 38, 39, 39, 40, 40, 39, 34, 36, 32, 27, 27, 25, 49, 
##     79, 53, 33, 32, 28, 26, 25, 22, 21, 23, 32, 24, 29, 34, 32, 
##     36, 37, 42, 41, 38, 38, 34, 35, 38, 37, 43, 44, 33, 43, 41, 
##     39, 38, 39, 38, 41, 42, 44, 43, 44, 45, 43, 44, 43, 42, 39, 
##     38, 35, 31, 23, 22, 23, 23, 24, 26, 36, 56, 51, 44, 39, 33, 
##     30, 23, 18, 19, 24, 25, 33, 38, 45, 49, 49, 39, 40, 40, 36, 
##     38, 47, 42, 38, 37, 38, 38, 40, 42, 47, 48, 45, 42, 38, 39, 
##     39, 34, 34, 30, 29, 26, 25, 26, 37, 48, 68, 59, 48, 33, 32, 
##     29, 27, 25, 20, 17, 22, 33, 33, 48, 47, 46, 44, 38, 38, 40, 
##     44, 37, 37, 39, 39, 37, 38, 40, 34, 38, 42, 38, 38, 40, 44, 
##     49, 45, 42, 41, 37, 36, 43, 43, 41, 42, 41, 46, 47, 48, 48, 
##     40, 45, 53, 42, 43, 42, 41, 44, 47, 40, 34, 37, 39, 38, 39, 
##     39, 38, 41, 41, 39, 42, 44, 45, 48, 49, 49, 50, 50, 51, 24, 
##     26, 33, 55, 59, 51, 39, 33, 30, 27, 24, 25, 23, 37, 43, 50, 
##     56, 42, 37, 32, 24, 37, 37, 39, 44, 46, 44, 44, 42, 39, 39, 
##     39, 36, 34, 32, 35, 34, 34, 31, 30, 32, 30, 29, 31, 33, 35, 
##     31, 31, 32, 33, 31, 32, 34, 33, 32, 31, 31, 30, 30, 30, 31, 
##     30, 31, 31, 31, 31, 31, 31, 30, 30, 31, 31, 31, 31, 30, 30, 
##     29, 29, 29, 29, 30, 29, 29, 29, 30, 29, 30, 30, 30, 30, 30, 
##     31, 30, 30, 30, 30, 31, 31, 31, 29, 29, 30, 30, 30, 32, 31, 
##     31, 47, 44, 42, 41, 36, 36, 35, 28, 25, 27, 26, 23, 18, 16, 
##     15, 15, 16, 20, 19, 16, 12, 29, 31, 30, 30, 31, 31, 30, 30, 
##     31, 30, 30, 31, 31, 31, 30, 30, 31, 31, 30, 30, 30, 31, 30, 
##     31, 30, 40, 44, 43, 42, 44, 45, 45, 47, 47, 30, 24, 23, 23, 
##     23, 23, 31, 34, 41, 48, 48, 45, 35, 33, 31, 24, 21, 43, 43, 
##     48, 46, 47, 45, 39, 36, 36, 34, 34, 27, 25, 24, 23, 24, 26, 
##     26, 29, 33, 42, 33, 29, 21, 29, 33, 34, 33, 33, 32, 33, 35, 
##     36, 36, 34, 35, 36, 35, 36, 35, 35, 34, 33, 33, 33, 33, 33, 
##     33, 33, 33, 32, 30, 30, 31, 31, 36, 36, 36, 36, 36, 36, 36, 
##     36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
##     32, 29, 21, 21, 39, 37, 31, 26, 24, 24, 26, 25, 33, 32, 35, 
##     35, 37, 38, 39, 41, 42, 42, 41, 41, 37, 35, 32, 28, 27, 26, 
##     25, 25, 26, 24, 25, 25, 26, 25, 26, 27, 29, 32, 32, 35, 35, 
##     39, 40, 43, 38, 37, 57, 53, 49, 41, 44, 41, 42, 42, 44, 44, 
##     45, 46, 45, 42, 40, 36, 35, 33, 32, 29, 29, 27, 25, 21, 28, 
##     30, 41, 59, 61, 55, 46, 38, 31, 31, 30, 30, 26, 26, 23, 24, 
##     30, 47, 54, 37, 36, 33, 32, 27, 25, 16, 26, 30, 33, 43, 46, 
##     46, 47, 42, 41, 35, 33, 28, 27, 26, 24, 22, 43, 57, 52, 34, 
##     32, 26, 29, 33, 35, 41, 40, 40, 41, 41, 38, 34, 32, 30, 29, 
##     28, 26, 23, 25, 34, 55, 52, 46, 38, 36, 32, 28, 24, 20, 18, 
##     29, 37, 37, 40, 39, 38, 39, 44, 40, 37, 39, 32, 34, 38, 38, 
##     36, 35, 37, 39, 39, 41, 41, 42, 40, 42, 40, 46, 47, 46, 46, 
##     46, 45, 46, 47, 47, 50, 51, 50, 39, 36, 32, 29, 25, 23, 23, 
##     22, 24, 26, 26, 24, 22, 22, 22, 25, 28, 29, 30, 32, 37, 47, 
##     47, 46, 40, 38, 37, 35, 30, 27, 25, 24, 24, 31, 29, 28, 36, 
##     39, 23, 32, 34, 39, 44, 43, 44, 50, 49, 49, 48, 46, 46, 47, 
##     50, 49, 46, 43, 40, 35, 28, 43, 42, 42, 43, 46, 47, 47, 47, 
##     38, 33, 22, 22, 22, 23, 24, 25, 29, 32, 35, 40, 49, 49, 44, 
##     38, 34, 34, 33, 33, 33, 39, 34, 52, 51, 52, 48, 47, 44, 41, 
##     40, 41, 42, 39, 37, 36, 34, 33, 32, 31, 25, 27, 29, 29, 29, 
##     32, 33), gyros_forearm_x = c(0.03, 0.02, 0.03, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.02, 0, 0, 0, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.03, 0.05, 0.03, 
##     0.03, 0.02, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.02, -0.02, -0.02, 
##     0, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 
##     0.02, 0, 0.02, 0.02, 0.02, 0, 0, 0, 0, -0.02, 0, 0.02, 0.02, 
##     0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0, 0.02, 0.05, 0.06, 0.06, 0.05, 0.05, 0.03, 0.03, 
##     0.05, 0.05, 0.05, 0.02, 0, -0.02, 0.02, 0, 0, 0, 0.02, 0.02, 
##     0, 0, 0.02, 0.02, 0, 0, 0, 0, 0.02, 0.02, 0, 0, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0, 0, 0, 
##     -0.02, -0.02, -0.03, 0, 0.02, 0, 0.02, 0.02, 0.02, 0.02, 
##     0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 
##     0.02, 0.03, 0.03, 0.02, 0, 0.02, 0, 0.02, 0, 0.03, 0.03, 
##     0.03, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 0.02, 0.02, 
##     0, 0.02, 0.02, 0.02, 0, 0.02, 0.1, 0.08, 0.08, 0.03, 0.02, 
##     -0.03, 0.1, 0.08, 0.08, 0.08, 0.1, 0.1, 0.11, 0.08, 0.06, 
##     0.06, 0.08, 0.16, 0.16, 0.18, 0.22, 0.24, 0.06, 0.06, 0.06, 
##     0.05, 0.05, 0.1, 0.11, 0.13, 0.14, 0.16, 0.14, 0.14, 0.16, 
##     0.14, 0.18, 0.16, 0.14, 0.11, 0.11, 0.14, 0.14, 0.14, 0.18, 
##     0.21, 0.21, 0.19, 0.11, 0.1, 0.06, -0.02, 0.1, 0.24, 0.31, 
##     0.29, 0.18, 0.06, 0.1, 0.21, 0.22, 0.24, 0.21, 0.18, -0.02, 
##     0.03, 0.08, 0.19, 0.24, 0.22, 0.18, 0.13, 0.11, 0.13, 0.14, 
##     0.06, 0, -0.08, -0.14, -0.11, -0.06, 0.03, -0.1, -0.18, -0.29, 
##     -0.39, -0.37, -0.31, -0.19, -0.32, -0.29, -0.02, 0.43, 0.63, 
##     0.67, 0.63, 0.58, 0.51, 0.48, 0.45, 0.4, 0.35, 0.37, 0.32, 
##     0.03, 0, -0.03, -0.02, 0.11, 0.21, 0.24, 0.22, 0.21, 0.14, 
##     0.08, 0.03, 0.03, 0.05, 0.06, 0.14, 0.16, 0.13, 0.11, 0.1, 
##     0.06, 0.05, 0.03, 0, 0.02, 0.11, 0.06, 0.05, 0.53, 0.48, 
##     0.16, -0.03, 0.1, 0.26, 0.26, 0, 0, 0.08, 0.16, 0.29, 0.26, 
##     0.21, 0.14, 0.08, 0.06, 0.08, 0.14, 0.14, 0.18, 0.22, 0.26, 
##     0.26, 0.22, -0.03, -0.02, 0.19, 0.35, 0.34, 0.29, 0.31, 0.13, 
##     0.06, 0.08, 0.08, 0.06, 0.06, 0.06, 0.06, 0, 0.06, 0.08, 
##     0.06, 0.06, 0.27, 0.34, 0.39, 0.31, 0.21, 0.05, -0.03, -0.1, 
##     -0.06, 0, 0.08, 0.1, 0.08, 0.08, 0.11, 0.13, 0.13, 0.14, 
##     0.13, 0.11, 0.13, 0.14, 0.16, 0.16, 0.14, 0.13, 0.13, 0.13, 
##     0.11, 0.1, 0.1, 0.1, 0.08, 0.13, 0.16, 0.14, 0.08, 0.39, 
##     0.4, 0.42, 0.51, 0.59, 0.51, 0.32, 0.27, 0.42, 0.47, 0.51, 
##     0.35, 0.14, -0.22, -0.24, -0.29, -0.31, -0.45, -0.47, -0.4, 
##     -0.53, -0.56, -0.5, -0.4, -0.42, -0.5, -0.35, -0.22, -0.35, 
##     -0.18, -0.24, -0.32, -0.58, -0.61, -0.39, 0.21, 0.42, 0.42, 
##     0.45, 0.48, 0.4, 0.35, 0.32, 0.27, 0.26, 0.29, 0.45, 0.51, 
##     0.45, 0.4, 0.45, 0.51, 0.58, 0.61, 0.61, 0.59, 0.61, 0.5, 
##     0.51, 0.53, 0.5, 0.5, 0.47, 0.39, 0.5, 0.51, 0.51, 0.55, 
##     0.64, 0.72, 0.8, 0.82, 0.8, 0.66, 0.06, -0.18, -0.4, -0.26, 
##     -0.31, -0.34, -0.31, -0.34, -0.53, -0.56, -0.58, -0.24, -0.35, 
##     -0.31, -0.11, -0.4, -0.43, -0.27, -0.55, -0.47, -0.53, -0.56, 
##     -0.31, -0.21, -0.11, -0.1, -0.16, -0.16, 0.39, 0.4, 0.45, 
##     0.43, 0.4, 0.42, 0.5, 0.47, 0.47, 0.43, 0.47, 0.47, 0.42, 
##     0.47, 0.51, 0.56, 0.58, 0.56, 0.4, 0.29, 0.26, 0.37, 0.43, 
##     0.45, 0.47, -0.45, -0.42, -0.34, -0.14, -0.14, -0.26, -0.18, 
##     -0.13, -0.16, -0.24, -0.32, -0.16, -0.18, 0.43, 0.43, 0.42, 
##     0.39, 0.58, 0.45, 0.43, 0.35, 0.21, 0.14, 0.16, 0.9, 1.11, 
##     1.04, 0.64, 0.5, 0.32, 0.47, 0.61, 0.64, 0.43, 0.71, 0.69, 
##     0.69, 0.59, -0.02, -0.02, 0.08, 0.08, -0.03, -0.11, -0.14, 
##     -0.24, -0.55, -0.64, -0.71, -0.79, -0.77, -0.72, -0.5, -0.5, 
##     -0.61, -0.5, -0.58, -0.18, -0.16, -0.27, -0.27, -0.18, -0.19, 
##     -0.16, -0.02, 0.08, -0.11, -0.29, -0.29, -0.27, -0.18, -0.05, 
##     0.14, 0.26, 0.37, 0.53, 0.59, 0.8, 0.83, 0.56, 0.47, 0.37, 
##     0.51, 0.58, 0.51, 0.48, 0.67, 0.74, 0.74, 0.1, -0.14, -0.34, 
##     0.14, 0.26, 0.32, 0.47, 0.64, 0.59, 0.48, 0.51, 0.56, 0.69, 
##     0.87, 0.92, 0.59, 0.51, 0.42, 0.43, 0.74, 0.87, 0.74, 0.66, 
##     0.56, 0.4, 0.39, 0.4, 0.43, 0.45, 0.58, 0.58, 0.16, 0.22, 
##     0.29, 0.22, 0.14, 0.18, 0.47, 0.56, 0.5, 0.47, 0.43, 0.61, 
##     0.64, 0.74, 0.35, 0.05, 0.48, 0.55, 0.5, 0.5, 0.56, 0.59, 
##     -0.27, -0.9, -0.77, -0.51, -0.48, -0.51, -0.11, -0.27, -0.42, 
##     0.29, 0.34, 0.31, 0.31, 0.32, 0.24, 0.24, 0.06, 0.02, -0.05, 
##     -0.37, -0.55, -0.5, -0.63, -0.75, -0.48, -0.42, -0.11, 0.06, 
##     -0.11, -0.43, 0.14, 0.5, 0.06, -0.47, -0.43, -0.29, -0.02, 
##     0.11, 0.14, -0.08, -0.32, -0.4, -0.39, -0.27, 0.11, 0.56, 
##     0.05, -0.72, -0.88, -0.92, -0.8, -0.05, 0.13, 0.42, 0.87, 
##     1.3, 1.36, 1.64, 1.99, 2.14, 2.17, 2.14, 1.98, 2.02, 1.98, 
##     1.54, 1.33, 1.12, 0.48, 0.34, 0.14, 0.13, 0.24, 0.29, 0.22, 
##     0.22, 0.31, 0.48, 0.71, 2.34, 3.1, 3.07, 2.46, 1.7, 0.77, 
##     0.4, -0.24, -0.34, 0.31, 1.03, 2.04, 2.28, 1.64, 1.17, 0.42, 
##     0.21, 0.06, -0.08, -0.21, -0.34, -0.32, -0.16, 0.08, 0.4, 
##     1.16, 1.88, 2.47, 2.41, 1.98, 1.8, 1.57, 1.19, 1.11, 1, 0.16, 
##     0.21, 0.32, 0.34, 0.4, 1.04, 1.27, 1.35, 1.38, 1.51, 1.67, 
##     1.8, 1.77, 1.38, 1.19, 0.69, 0.19, 0.26, 0.21, 0.51, 0.93, 
##     1.46, 1.7, 1.94, 2.1, 1.93, 1.83, 1.69, 1.49, 0.34, 0.05, 
##     -0.24, 0.03, 0.63, 1.24, 1.38, 1.89, 1.83, 1.56, 1.43, 1.22, 
##     0.4, 0.34, 0.35, 0.82, 1.24, 1.38, 1.48, 1.51, 1.48, 1.19, 
##     0.74, 0.48, 0.35, 1.72, 1.64, 1.53, 1.35, 1.11, 0.88, 0.63, 
##     0.64, 1.17, 1.33, 1.19, 0.92, 1.11, 1.06, 1.06, 1.14, 1.16, 
##     1.45, 1.51, 1.32, 1.17, 1.11, 1.01, 0.64, 0.42, 0.66, 0.58, 
##     0.69, 0.79, 1.09, 1.24, 1.4, 1.46, 1.54, 1.43, 1.32, 0.53, 
##     0.21, 0.14, 0.24, 0.64, 1.94, 2.33, 2.02, 1.57, 0.98, 0.37, 
##     0.18, 0.08, 0.11, 0.13, 0.16, 0.24, 0.39, 0.74, 1.28, 1.67, 
##     1.86, 1.98, 1.94, 1.88, 1.77, 1.75, 1.56, 0.98, 0.67, 0.55, 
##     0.55, 0.56, 0.72, 0.8, 0.47, 0.82, 0.8, 0.83, 0.8, 0.8, 1.12, 
##     1.45, 1.53, 1.43, 1.35, 1.49, 1.41, 0.71, -0.42, -0.47, -0.55, 
##     -0.55, -0.47, -0.45, -0.71, -0.11, -0.06, -0.16, -0.27, -0.45, 
##     -0.55, -0.35, -0.21, 0, 0.1, 0.21, 0.22, 0.19, 0.14, 0.34, 
##     0.51, 0.83, 0.88, 0.56, 0.88, 1.12, 0.96, 0.64, 0.71, 1, 
##     1.12, 1.22, 1.22, 1.09, 1.17, -0.56, -2.87, -1.3, -0.93, 
##     -4.95, 0.87, 0.31, 1.8, -3.08, -2.28, 1.03, 1.57, 1.24, 3.97, 
##     1.33, 1.67, -0.88, 2.14, 0.61, 1.09, -0.53, -0.11, 0.71, 
##     0.61, 0.83, 0.98, 0.67, 1.25, 2.28, 1.46, 0.9, -1.2, -2.2, 
##     -2.97, -3.36, -2.99, -2.02, -1.03, -0.74, -0.43, 0.13, 0.85, 
##     2.04, 2.39, 3.48, 3.52, 3.26, 2.75, 2.65, 0.88, 0.82, 0.82, 
##     1.01, 1.14, 1.01, 0.67, 0.34, 0.56, 0.53, 0.67, 0.8, 0.93, 
##     0.63, 0.67, 0.66, 1.35, 0.75, 0.79, 0.75, 1.41, 1.19, 1.11, 
##     1.09, 2.14, 3.02, 1.8, 1.43, 1.35, 1.22, 1.01, 0.96, 1.73, 
##     1.28, 1.06, 2.1, 1.28, 0.96, 1.12, 1.35, 1.35, 1.16, 0.92, 
##     0.95, 1.03, 1.14, 1.04, 0.87, 0.24, 0.31, 0.42, 0.42, 0.34, 
##     0.63, 1, 1.25, 1.48, 1.27, 1.17, 1.12, 0.88, 0.98, 0.96, 
##     1.14, 0.98, 1, 1.06, 0.98, 1.01, 1.03, 1.04, 0.92, 0.45, 
##     0.74, 1.01, 0.31, 0.51, 0.58, 1.08, 1.32, 0.72, 0.93, 0.82, 
##     0.95, 1.01, 1.11, 1.09, 0.98, 0.9, 0.98, 1.06, 1.11, 1.01, 
##     0.83, 1.12, 1.2, 1.14, 1.16, 1.14, 1.12, 1.09, 1.04, 1.08, 
##     1.12, 1.11, 1.08, 1.08, 1.19, 1.06, 1.09, 1, 0.98, 0.92, 
##     0.93, 0.95, 0.96, 1, 1.09, 1.22, 1.11, 0.95, 0.83, 0.9, 0.98, 
##     1.04, 1.25, 1.46, 1.65, 1.69, 1.72, 1.72, 1.27, 1.19, 1.17, 
##     1.2, 1.27, 1.03, 0.96, 0.75, 0.72, 0.66, 0.64, 0.61, 0.58, 
##     0.58, 0.83, 0.87, 1, 1.01, 1.01, 1.01, 0.98, 0.96, 0.96, 
##     0.98, 0.82, 0.82, 0.79, 0.75, 0.77, 0.85, 0.88, 0.88, 0.98, 
##     1, 1.03, 1.16, 1.17, 1.19, 1.24, 1.36, 1.45, 1.46, 1.51, 
##     1.65, 1.67, 1.64, 1.22, 1.04, 0.98, 0.98, 1.01, 0.9, 0.85, 
##     0.82, 0.79, 0.8, 0.85, 0.95, 0.87, 0.85, 0.93, 1, 1.24, 1.28, 
##     1.33, 1.25, 1.24, 1.09, 1.12, 1.3, 1.17, 1.14, 1.14, 1.2, 
##     1.35, 1.45, 1.38, 1.19, 0.8, 0.87, 0.9, 0.92, 0.96, 0.95, 
##     0.88, 0.93, 0.87, 1.01, 0.95, 0.96, 1.06, 0.87, 0.95, 0.74, 
##     0.66, 0.74, 0.83, 0.79, 0.95, 0.83, 0.71, 0.71, 0.75, 0.64, 
##     0.5, 0.51, 0.56, 0.51, 0.67, 0.8, 0.92, 0.79, 0.74, 0.82, 
##     0.77, 0.88, 0.93, 0.95, 1, 1.03, 1, 1, 1.01, 0.98, 0.93, 
##     0.93, 0.95, 0.96, 1.01, 1.08, 1.04, 1.09, 1.16, 1.24, 1.38, 
##     1.38, 1.46, 1.64, 1.62, 1.67, 1.54, 1.14, 1, 1.01, 1, 1.08, 
##     1, 0.85, 0.74, 0.77, 0.8, 0.8, 0.87, 1, 1, 0.85, 0.85, 0.85, 
##     0.82, 0.77, 0.59, 0.87, 0.75, 0.85, 0.69, 0.72, 0.58, 0.63, 
##     0.95, 1.01, 1.01, 0.85, 0.67, 0.56, 0.61, 0.79, 0.83, 0.85, 
##     0.98, 1.06, 1.01, 1, 1.03, 1.08, 1.11, 0.93, 0.9, 1, 1.03, 
##     1, 0.98, 1.06, 1.08, 1.3, 1.3, 1.38, 1.43, 1.35, 1.43, 1.19, 
##     1.14, 1.16, 1.09, 1.08, 1.08, 1, 0.92, 0.98, 0.96, 0.95, 
##     1.03, 1.04, 1.04, 1.04, 1.06, 1.06, 1.03, 1.04, 0.98, 0.96, 
##     0.96, 1.01, 1, 1.04, 0.96, 1.03, 1.01, 0.9, 0.87, 0.88, 0.9, 
##     0.85, 0.87, 0.8, 0.88, 0.83, 0.71, 1.01, 0.95, 0.77, 0.67, 
##     0.4, 0.32, 0.56, 0.5, 0.71, 0.74, 0.56, 0.14, 0.45, 0.48, 
##     0.58, 0.87, 0.64, 0.72, 0.83, 1.08, 1.14, 1.14, 1.08, 0.96, 
##     0.87, 0.63, 0.66, 0.88, 1.12, 1.03, 0.96, 0.93, 0.96, 1.01, 
##     0.93, 0.93, 0.96, 1.06, 1.06, 1.08, 1.09, 1.11, 1.22, 1.45, 
##     1.36, 1.32, 1.45, 1.38, 1.41, 1.54, 1.54, 1.53, 1.56, 1.16, 
##     1.11, 1.06, 0.95, 1.04, 1.01, 1, 1.03, 0.96, 0.95, 1.03, 
##     1.08, 1.04, 0.95, 0.83, 0.92, 0.98, 0.96, 0.88, 0.85, 0.92, 
##     0.98, 1.06, 1.08, 1.04, 0.83, 0.8, 0.72, 0.43, 0.43, 0.55, 
##     0.51, 0.48, 0.92, 0.9, 0.66, 0.64, 0.43, 0.1, 0, 0.14, 0.22, 
##     0.74, 0.87, 0.85, 0.72, 0.61, 0.56, 0.69, 0.66, 0.59, 0.56, 
##     0.72, 0.8, 0.96, 0.9, 0.79, 0.69, 0.53, 0.53, 0.8, 0.9, 0.98, 
##     1, 1.01, 1.03, 1.06, 1.11, 1.43, 1.4, 1.46, 1.48, 1.57, 1.73, 
##     1.94, 1.96, 1.62, 1.32, 1.4, 1.33, 1.28, 1.16, 1.11, 1, 0.98, 
##     0.95, 0.95, 1, 1.19, 0.51, 0.8, 0.77, 0.48, 0.66, 0.85, 0.82, 
##     0.85, 0.77, 0.79, 0.56, 0.72, 1.08, 1.12, 1.14, 1.16, 1.08, 
##     1.01, 1.04, 1.14, 0.96, 1.01, 1.19, 1.46, 1.59, 1.67, 1.75, 
##     1.48, 1.59, 1.67, 1.72, 1.59, 1.48, 1.33, 1.11, 1.03, 0.93, 
##     1.19, 1.24, 1.27, 1.14, 1.14, 1.25, 1.04, 1.04, 1.08, 1.25, 
##     1.27, 1.22, 1.14, 1.16, 1.24, 1.08, 1.04, 1.04, 0.95, 0.95, 
##     1.04, 1.04, 1.03, 1.06, 1.04, 0.98, 0.9, 0.92, 0.92, 0.95, 
##     0.75, 0.64, 0.64, 0.48, 0.69, 0.51, 0.39, 0.42, 0.47, 0.47, 
##     0.71, 0.63, 0.63, 0.67, 0.69, 0.66, 0.67, 0.63, 0.53, 0.42, 
##     0.43, 0.56, 1.12, 1.06, 1.2, 0.92, 0.95, 1.06, 1.11, 1.06, 
##     1.04, 1.01, 0.96, 0.92, 0.93, 0.96, 1.04, 1.11, 1.14, 1.08, 
##     1, 0.95, 0.93, 0.92, 0.9, 0.9, 0.93, 1, 0.96, 0.93, 0.88, 
##     0.8, 0.66, 0.75, 0.71, 0.69, -0.24, -0.24, -0.24, -0.21, 
##     -0.21, -0.21, -0.26, -0.22, -0.21, -0.24, -0.27, -0.27, -0.26, 
##     -0.26, -0.22, -0.21, -0.21, -0.22, -0.26, -0.22, -0.21, -0.18, 
##     -0.21, -0.21, -0.22, -0.22, -0.24, -0.24, -0.24, -0.24, -0.24, 
##     -0.19, -0.19, -0.19, -0.21, -0.22, -0.21, -0.21, -0.22, -0.22, 
##     -0.19, -0.21, -0.21, -0.22, -0.22, -0.22, -0.21, -0.21, -0.21, 
##     -0.21, -0.21, -0.22, -0.21, -0.21, -0.19, -0.21, -0.22, -0.21, 
##     -0.22, -0.22, -0.24, -0.22, -0.21, -0.21, -0.21, -0.22, -0.22, 
##     -0.22, -0.21, -0.21, -0.21, -0.18, -0.21, -0.21, -0.24, -0.22, 
##     -0.21, -0.18, -0.26, -0.27, -0.26, -0.24, -0.22, -0.16, -0.16, 
##     -0.16, -0.14, -0.16, -0.18, -0.19, -0.27, -0.26, -0.24, -0.21, 
##     -0.21, -0.19, -0.16, -0.16, -0.16, -0.22, -0.27, -0.31, -0.31, 
##     -0.29, -0.26, -0.26, -0.27, -0.21, -0.22, -0.29, -0.37, 0.08, 
##     -0.34, -0.42, -0.51, -0.48, -0.56, -0.79, -0.87, -1.08, -1.03, 
##     -0.51, -0.35, -0.26, -0.19, -0.21, -0.19, -0.08, -0.03, 0.03, 
##     0.14, 0.34, 0.37, 0.32, 0.24, 0.18, 0.05, -0.02, -0.11, -0.14, 
##     -0.08, -0.11, -0.06, 0.02, -0.06, 0, -0.06, -0.03, 0.21, 
##     0.19, -0.06, -0.14, -0.24, -0.03, 0.02, 0.03, -0.02, -0.11, 
##     -0.26, -0.29, -0.26, 0.13, 0.27, 0.31, 0.26, 0.02, -0.13, 
##     -0.48, -0.53, -0.53, -0.47, -0.37, -0.21, -0.16, -0.1, -0.11, 
##     -0.08, -0.26, -0.29, -0.34, -0.27, -0.29, -0.22, -0.14, -0.03, 
##     -0.21, -0.32, -0.4, -0.5, -0.59, -0.72, -0.71, -0.67, -0.71, 
##     -0.69, -0.69, -0.67, -0.61, -0.56, -0.66, -0.96, -1.2, -0.71, 
##     0, 0.1, 0.16, -0.05, -0.16, -0.32, -0.35, -0.35, -0.31, -0.24, 
##     -0.26, -0.21, -0.18, 0, 0.06, 0.13, 0.18, -0.05, -0.19, -0.35, 
##     -0.5, -0.26, -0.18, -0.16, -0.19, -0.22, -0.27, -0.35, -0.55, 
##     -0.47, -0.4, -0.51, -0.64, -0.87, -0.92, -0.85, -0.5, -0.34, 
##     -0.37, -0.26, -0.13, 0.03, 0.13, -0.03, -0.21, -0.59, -0.48, 
##     -0.21, -0.14, 0.16, 0.14, 0.03, 0, -0.02, -0.21, -0.19, -0.13, 
##     -0.18, -0.29, -0.4, -0.42, -0.39, -0.35, -0.31, -0.14, -0.02, 
##     0.18, 0.05, 0.05, 0.1, 0, -0.18, -0.29, -0.1, -0.02, -0.35, 
##     -0.4, -0.63, -0.67, -0.87, -0.66, -0.26, -0.42, -0.56, -0.64, 
##     -0.39, -0.08, -0.02, 0.03, -0.05, -0.16, -0.34, -0.39, -0.37, 
##     -0.29, -0.48, -0.79, -0.83, -0.71, -0.77, -0.45, -0.34, -0.11, 
##     -0.14, -0.19, -0.24, -0.47, -0.45, -0.11, -0.16, -0.29, -0.21, 
##     -0.19, -0.08, -0.06, 0.08, 0.03, 0.1, 0.05, 0.05, 0.02, 0, 
##     0.11, 0.22, 0.31, 0.32, 0.31, -0.53, -0.58, -0.58, -0.53, 
##     -0.31, -0.19, -0.06, -0.03, -0.02, -0.05, -0.05, -0.14, -0.16, 
##     0.05, 0.08, -0.05, -0.24, -0.39, -0.51, -0.51, -0.48, -0.47, 
##     -0.48, -0.61, -0.82, -1.04, -0.93, -0.77, -0.26, -0.19, -0.18, 
##     -0.21, -0.31, -0.4, -0.47, -0.27, -0.18, -0.06, 0, 0.05, 
##     -0.02, -0.27, -0.39, -0.5, -0.37, -0.37, -0.27, -0.32, -0.24, 
##     -0.26, -0.06, 0.16, 0.19, 0.19, 0.1, -0.03, -0.16, -0.32, 
##     -0.31, -0.13, -0.21, -0.26, -0.34, -0.42, -0.08, -0.06, -0.08, 
##     -0.26, -0.32, -0.35, -0.35, -0.34, -0.29, -0.11, 0.08, 0.14, 
##     0.21, 0.26, 0.26, 0.19, 0.06, -0.13, 0.03, 0.11, 0.21, 0.31, 
##     -0.05, -0.14, -0.22, -0.31, -0.32, -0.64, -0.69, -0.55, -0.45, 
##     -0.56, -0.82, -1, -0.9, -0.67, -0.35, 0.22, 0.39, -0.06, 
##     -0.22, -0.27, -0.31, -0.32, -0.21, -0.21, -0.26, -0.19, -0.13, 
##     -0.21, -0.58, -0.59, -0.45, -0.19, -0.08, 0.06, 0.26, -0.19, 
##     -0.43, -0.5, -0.29, -0.19, 0.02, 0.11, 0.11, 0.05, -0.03, 
##     -0.24, -0.43, -0.61, -0.74, -0.75, -0.74, -0.72, -0.74, -0.79, 
##     -0.8, -0.87, -0.95, -0.83, 0.22, 0.1, -0.21, -0.35, -0.47, 
##     -0.45, -0.39, -0.27, -0.19, -0.45, -0.18, -0.18, -0.08, -0.11, 
##     -0.29, -0.32, 0.06, 0.13, 0.05, 0, -0.11, -0.18, -0.24, -0.29, 
##     -0.27, -0.18, -0.14, -0.14, -0.21, -0.29, -0.35, -0.48, -0.51, 
##     -0.37, -0.18, 0.03, 0.5, 0.53, 0.47, 0.27, 0.21, 0.03, -0.06, 
##     -0.1, -0.22, -0.32, -0.39, -0.48, -0.59, -0.66, -0.66, -0.69, 
##     -0.79, -0.85, -0.85, -0.83, -0.61, -0.1, -0.06, -0.9, -0.96, 
##     -0.98, -0.4, -0.06, -0.13, -0.19, -0.29, -0.75, -0.77, -0.79, 
##     -0.72, -0.47, -0.47, -0.48, -0.51, -0.56, -0.63, -0.66, -0.55, 
##     -0.4, -0.11, -0.18, -0.24, -0.4, -0.43, -0.26, -0.26, -0.19, 
##     -0.11, 0.4, 0.27, 0.71, 0.85, 0.96, 0.75, 0.34, 0.34, 0.22, 
##     0.08, -0.27, -0.39, -0.35, -0.27, -0.08, 0.02, -0.34, -0.37, 
##     -0.32, -0.32, -0.35, -0.32, -0.26, -0.29, -0.39, -0.42, -0.35, 
##     -0.43, -0.47, -0.43, -0.21, -0.02, 0.08, 0.16, 0.19, 0.14, 
##     -0.06, 0.02, -0.02, 0.1, -0.08, 0, 0.18, 0.24, -0.13, -0.21, 
##     -0.05, -0.03, 0.05, 0.05, -0.05, 0.02, 0.08, 0.11, 0.11, 
##     0.05, -0.1, 0.05, 0.1, 0.1, 0.1, 0.11, 0.08, 0.05, 0.13, 
##     0.14, -0.06, -0.13, -0.03, 0.06, 0.06, -0.02, -0.03, -0.06, 
##     -0.11, 0, 0, 0.03, -0.02, -0.02, -0.02, 0.03, 0.03, 0.02, 
##     0.03, -0.02, 0, 0, 0.03, 0, -0.02, 0.02, -0.02, -0.02, 0, 
##     0, 0.02, 0.02, 0, -0.02, 0, 0, 0.02, 0.03, 0.03, 0.03, 0.03, 
##     0, 0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 0.02, 0.02, 0, -0.02, 
##     0.02, 0.02, 0.03, 0.03, 0, 0, 0, 0, -0.03, -0.02, 0, 0, -0.02, 
##     0.03, 0.05, 0.02, -0.02, 0.03, 0.03, 0.06, 0.08, 0.05, 0, 
##     -0.02, -0.05, -0.1, -0.1, -0.06, -0.03, -0.03, -0.02, 0.02, 
##     0.03, 0.05, 0.05, 0.05, 0.03, 0.02, 0.02, -0.03, -0.02, -0.02, 
##     0, 0, 0, 0, 0.03, 0.03, 0.03, 0.02, -0.02, 0, -0.02, 0, -0.02, 
##     0, 0.02, 0.03, 0.03, 0.05, 0.05, 0.05, 0.02, 0.02, -0.02, 
##     0.02, -0.1, -0.05, -0.02, 0.02, 0.03, 0.03, 0.05, 0.05, 0.02, 
##     0, 0.03, 0.03, 0.03, 0.05, 0.05, 0.02, -0.02, -0.02, 0, -0.03, 
##     -0.03, 0, 0, -0.02, 0, -0.02, 0.03, 0.03, 0.03, 0.05, 0.03, 
##     0, -0.03, 0, -0.02, 0.03, 0.03, 0.03, 0.03, 0, 0.02, 0, 0, 
##     0.02, 0.03, 0.03, 0.03, 0.03, 0.02, 0.03, 0.03, 0.05, 0.03, 
##     0.05, 0.03, -0.05, -0.05, -0.02, 0.03, 0.03, 0.06, 0.06, 
##     -0.05, -0.06, -0.05, -0.03, -0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.03, 0.05, 0.1, 0.14, 0.14, -0.02, -0.1, -0.11, -0.1, -0.06, 
##     -0.02, 0.05, 0.03, 0, -0.02, 0, 0, 0, 0.02, 0, 0.02, 0.03, 
##     0.06, 0.08, 0.05, -0.02, -0.05, -0.03, 0, 0.03, 0.08, 0.03, 
##     0.05, 0.05, 0.03, 0.02, 0.02, 0.02, 0.05, 0.03, 0.02, 0.18, 
##     0.03, -0.13, 0.05, 0.1, 0.11, 0.03, 0.06, -0.11, -0.08, -0.03, 
##     -0.02, -0.02, 0.13, 0.11, 0.1, 0.08, 0.06, 0.05, 0.05, 0.02, 
##     0, -0.02, 0, 0, -0.06, -0.02, 0, 0.02, 0.03, 0.08, 0.05, 
##     -0.02, -0.03, -0.03, 0, 0, 0, 0.02, 0.02, 0.03, 0.1, 0.11, 
##     0.11, 0.1, 0.08, 0.05, -0.02, -0.05, -0.08, -0.06, -0.05, 
##     -0.06, -0.1, -0.06, -0.03, 0.02, 0.05, 0.05, 0.05, 0.06, 
##     0.06, 0.05, 0.05, 0.02, 0.02, -0.02, -0.02, -0.02, -0.02, 
##     0.08, 0.14, 0.19, 0, 0.02, 0.03, -0.05, -0.05, -0.08, -0.08, 
##     -0.05, 0, 0.06, 0.03, 0.05, -0.02, -0.03, -0.02, -0.05, -0.03, 
##     0.03, 0.03, 0.02, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 
##     0.02, 0, 0, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0.02, 0, 
##     0, 0, 0, 0.02, 0.02, 0, 0, 0, 0.02, 0.05, 0.03, 0.02, 0.02, 
##     0.02, 0.02, 0.03, 0.03, 0.02, 0.02, 0.02, 0, 0, 0.02, 0.02, 
##     0.03, 0.02, 0.03, 0.03, 0.02, 0.02, 0, 0.02, 0.02, 0.02, 
##     0.02, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0, 0.03, 0.03, 
##     0.02, 0.02, 0.02, 0.02, 0, 0.02, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0, -0.02, -0.02, 0, 0, 
##     0.02, 0, 0, 0.02, 0.02, 0.02, 0, 0, 0, -0.02, 0, 0, 0, 0, 
##     0, 0, 0, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.02, 0.05, 
##     0.05, 0.03, 0.02, 0.02, 0.03, 0, 0, 0.02, 0.02, 0.03, 0.03, 
##     0.05, 0.03, 0.02, 0, 0.02, 0, 0.02, 0.05, 0.03, 0.03, 0.02, 
##     0.02, 0, -0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.03, 0.03, 
##     0.03, 0.03, 0.02, 0, -0.02, 0, 0, 0, 0, 0, 0, 0, 0.02, 0.02, 
##     0, 0, 0, 0.02, 0.02, 0.02, 0.03, 0.02, 0.02, 0.03, 0.03, 
##     0.03, 0.03, 0, 0, -0.02, 0, 0.02, 0.02, 0.03, 0, 0, 0, 0, 
##     0, 0, 0.03, 0.03, 0.05, 0.02, 0, 0.02, 0.02, 0.02, 0, -0.02, 
##     -0.02, 0.05, 0.03, 0.02, 0.02, 0.05, 0.03, 0, -0.02, 0, 0, 
##     0, 0.02, -0.02, -0.03, -0.02, 0.03, 0.05, 0.08, 0.1, 0.13, 
##     0.11, 0.1, 0.06, 0.05, 0.11, 0.14, 0.14, 0.13, 0.13, 0.14, 
##     0.13, 0.08, 0, -0.03, -0.08, -0.11, -0.26, -0.27, -0.24, 
##     -0.22, -0.24, -0.24, -0.31, -0.31, -0.26, -0.22, -0.24, -0.29, 
##     -0.24, 0.02, 0.13, 0.06, 0.02, -0.34, -0.4, -0.42, -0.4, 
##     -0.02, 0.1, 0.13, 0.1, 0.11, 0.13, 0.11, 0.08, 0.05, -0.02, 
##     -0.16, -0.34, -0.43, -0.5, -0.35, -0.27, -0.24, -0.18, -0.05, 
##     0.13, -0.29, -0.22, -0.11, 0, 0.03, -0.08, -0.13, -0.21, 
##     -0.16, -0.16, -0.27, -0.45, -0.51, -0.21, -0.16, -0.13, -0.26, 
##     -0.13, -0.11, -0.4, -0.42, -0.21, -0.13, -0.19, -0.16, -0.08, 
##     -0.02, 0.13, 0.18, 0.16, 0.22, 0.29, 0.39, 0.43, 0.43, 0.37, 
##     0.22, 0.1, 0.08, 0.35, 0.26, 0.21, 0.24, 0.21, 0, 0.08, 0.02, 
##     0.05, 0.14, 0.14, 0.08, -0.19, 0.37, 0.31, -0.16, -0.35, 
##     -0.56, -0.53, -0.39, -0.18, -0.21, -0.24, -0.29, -0.45, -0.4, 
##     -0.13, -0.14, -0.37, -0.39, -0.1, -0.42, -0.4, -0.42, -0.45, 
##     -0.53, -0.5, -0.39, -0.32, -0.21, -0.05, 0, 0.13, -0.13, 
##     -0.42, -0.63, -0.51, -0.34, -0.29, -0.02, 0.18, 0.35, 0.19, 
##     0.05, 0.06, 0.21, 0.29, 0.66, 0.58, 0.06, -0.11, -0.06, 0.1, 
##     0.39, 0.11, -0.13, -0.27, -0.31, -0.26, 0.37, 0.29, 0.1, 
##     -0.03, 0.14, 0.05, -0.75, -0.74, -0.69, -0.53, -0.37, -0.35, 
##     -0.4, -0.51, -0.59, -0.5, -0.48, -0.47, -0.31, -0.34, -0.06, 
##     -0.02, -0.14, -0.19, -0.31, -0.9, -1.04, -0.98, -0.8, -0.26, 
##     0.11, 0.34, 0.69, 0.51, 0.11, 0.11, 0.18, 0.29, 0.4, 0.82, 
##     0.95, 0.85, 0.77, 0.71, 0.4, 0.47, 0.47, 0.5, 0.63, 0.61, 
##     0.47, 0.47, 0.56, 0.56, 0.53, 0.5, 0.43, 0.05, -0.56, -0.77, 
##     -0.03, 0.22, 0.26, -0.32, -0.5, -0.55, -0.37, -0.27, -0.42, 
##     -0.35, -0.35, -0.24, -0.08, -0.03, -0.08, 0, 0.14, 0.34, 
##     -0.35, -0.58, -0.43, 0.19, 0.63, 0.48, 0.21, -0.61, -0.79, 
##     -0.22, -0.22, -0.13, -0.32, -0.45, -0.51, -0.37, 0.06, -0.05, 
##     -0.14, -0.32, -0.4, 0.03, 0.08, -0.14, -0.29, -0.32, 0.11, 
##     0.06, 0.26, 0.31, 0.19, 0.06, 0.08, 0.11, 0.1, 0.08, 0.02, 
##     -0.02, -0.05, 0, 0.03, 0.13, 0.42, 0.22, 0.14, 0.08, 0.37, 
##     0.43, 0.4, 0.27, -0.11, -0.24, -0.26, -0.14, -0.06, 0.02, 
##     0.39, 0.39, -0.51, -1.14, -1.12, -0.92, -0.58, 0.34, 0.29, 
##     0.18, -0.26, -0.56, -0.42, -0.31, -0.26, -0.14, -0.02, -0.14, 
##     -0.29, -0.37, -0.61, -0.31, -0.06, -0.14, -0.13, -0.37, -0.31, 
##     0.08, 0.16, 0.14, 0.1, -0.05, -0.19, -0.18, -0.39, -0.47, 
##     -0.48, -0.43, -0.45, -0.34, -0.03, 0.34, 0.45, 0.05, -0.18, 
##     -0.16, 0.19, 0.47, 0.26, 0.13, 0.02, 0, 0.1, 0.22, 0.05, 
##     0.14, 0.35, 0.53, 0.26, 0.08, 0.14, 0.27, -0.14, -0.32, -0.71, 
##     -0.75, -0.74, -0.59, -0.31, 0.32, 0.27, 0.05, -0.42, -0.47, 
##     -0.42, -0.42, -0.27, -0.24, -0.32, -0.26, -0.18, -0.18, -0.21, 
##     -0.27, -0.24, -0.24, -0.14, 0.13, 0.19, 0.1, -0.05, -0.42, 
##     -0.58, -0.53, -0.47, -0.45, 0, 0.06, 0.31, 0.22, 0.18, 0.03, 
##     -0.06, -0.18, -0.24, 0.32, 0.67, 0.82, 0.8, 0.55, -0.35, 
##     0.27, 0.29, 0.31, 0.56, 0.35, 0.16, 0.11, 0.13, -0.05, -1.04, 
##     -0.87, 0.26, 0.74, 0.72, 0.58, -0.47, -0.43, -0.39, 0, -0.02, 
##     0, 0, 0.02, 0.03, 0.03, 0, -0.03, -0.02, 0.03, -0.06, -0.06, 
##     -0.05, 0, 0.05, 0.08, 0.06, 0.03, 0.02, 0, -0.02, -0.06, 
##     -0.06, 0.05, -0.03, 0.02, 0.03, 0.02, -0.03, -0.05, -0.05, 
##     0.05, 0.08, 0.11, 0.11, 0.06, -0.05, -0.05, -0.03, 0, 0.05, 
##     0.1, -0.02, -0.06, -0.05, 0.03, 0.02, -0.1, 0, 0.06, 0.1, 
##     0.11, 0.06, -0.03, -0.05, -0.05, -0.02, 0.03, -0.13, 0, 0.03, 
##     0.06, 0.1, 0.06, 0.05, -0.05, -0.05, 0.02, 0, 0, -0.02, -0.02, 
##     -0.03, -0.02, -0.02, 0.03, 0.02, 0.02, 0.03, 0.03, 0.03, 
##     0.02, 0, 0.02, 0.03, 0, 0.02, 0.02, 0.03, 0.02, 0, 0, 0.02, 
##     0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0.02, 0.02, 0.03, 
##     0.02, 0, 0.02, 0.03, 0.02, 0.02, 0, 0, 0.02, 0.02, 0.02, 
##     0.02, 0.03, 0.02, 0.02, 0.05, 0.03, 0, 0.03, 0.03, 0.02, 
##     -0.03, -0.05, -0.02, 0.02, 0.03, 0.02, -0.02, -0.02, 0, -0.02, 
##     0, 0.03, 0.02, 0.02, 0, -0.02, 0, 0.02, 0.02, 0, 0, -0.02, 
##     0.03, 0, 0.02, 0.02, 0.02, -0.02, 0.02, 0.02, 0.02, 0.02, 
##     0.02, 0.02, -0.02, -0.02, -0.02, 0, 0, 0.02, 0.02, 0.02, 
##     0, 0, 0, -0.03, -0.06, -0.05, 0, 0.06, 0.05, 0, 0, -0.03, 
##     0.02, 0, -0.02, 0.06, 0.05, 0.03, 0.03, 0.05, 0.03, -0.05, 
##     -0.05, -0.06, -0.06, -0.05, -0.03, 0.02, 0.02, 0.03, 0.03, 
##     0.08, 0.05, 0, -0.02, -0.02, 0.02, 0.06, 0.05, 0.02, 0, -0.06, 
##     -0.06, 0, 0.02, -0.02, -0.06, -0.05, -0.03, 0.03, 0.08, 0.05, 
##     -0.02, 0.02, 0, 0, -0.03, 0, 0, 0, 0.02, 0, 0.02, 0.03, 0.1, 
##     0.08, 0.08, -0.02, 0, 0, 0.03, 0.05, 0.02, -0.02, -0.02, 
##     0.05, 0.06, 0.05, 0.06, 0.05, 0.05, 0.05, 0, 0.03, 0.05, 
##     0.05, 0.06, 0.05, 0.06, 0.08, 0.06, 0.16, 0.18, 0.13, 0.11, 
##     0.14, 0.05, -0.06, 0.03, 0.05, 0.08, 0.11, 0.08, 0.02, 0, 
##     -0.02, -0.02, 0, 0.02, 0.02, -0.03, -0.03, 0.02, 0, 0.03, 
##     0.03, 0.02, -0.02, -0.02, -0.03, -0.06, -0.08, -0.03, -0.03, 
##     0, 0, 0.05, 0.03, 0.02, 0.03, 0.02, 0.02, 0.02, -0.02, -0.02, 
##     0, -0.02, 0.02, 0.03, 0.03, 0.03, 0.02, 0.02, 0, 0.02, 0.03, 
##     0.02, -0.02, -0.02, -0.02, 0, 0.02, 0.03, 0.06, 0.06, 0.02, 
##     0.03, 0.02, -0.03, 0.02, -0.03, -0.02, 0.02, 0.11, 0.34, 
##     0.53, 0.71, 0.92, 1.01, 1.03, 1.14, 1.49, 1.53, 1.51, 0.98, 
##     1.09, 0.69, 0.56, 0.58, 0.67, 0.58, 0.42, 0.5, 0.5, 0.42, 
##     0.45, 0.59, 0.4, 0.1, -0.13, -0.31, -0.34, -0.74, -0.53, 
##     -0.39, -0.51, -0.34, -0.16, -0.29, -0.56, -0.39, -0.43, -0.64, 
##     -0.48, -0.19, -0.39, -0.77, -0.82, -0.79, -0.67, -0.55, -0.37, 
##     -0.47, -0.39, 0.13, 0.45, 0.55, 0.59, 0.69, 0.8, 1, 1.17, 
##     1.46, 1.28, 1.28, 1.25, 0.87, 0.69, 0.69, 0.56, 0.34, 0.37, 
##     0.4, 0.39, 0.37, 0.13, -0.05, -0.08, -0.11, -0.14, -0.26, 
##     -0.34, -0.47, -0.82, -0.74, -0.4, -0.98, -0.42, -0.61, -0.64, 
##     -0.75, -0.61, -0.93, -1.11, -1.09, -0.21, -0.24, -0.03, 0.24, 
##     0.37, 0.29, 0.32, 0.47, 0.59, 0.8, 1.19, 1.35, 1.38, 1.22, 
##     1.25, 1.08, 1.03, 1.04, 0.8, 0.71, 0.5, 0.43, 0.58, -0.16, 
##     -0.03, -0.45, -0.53, -0.53, -0.5, -0.51, -0.58, -0.61, -0.83, 
##     -0.75, -0.71, -1.06, -1.11, -1.09, -1.48, -1.3, -1.11, -1.16, 
##     -1.19, -0.83, -0.24, -0.18, 0.27, 0.47, 0.56, 0.64, 0.79, 
##     1.08, 1.08, 1.36, 1.43, 1.38, 1.32, 1.32, 1.04, 1.11, 0.75, 
##     0.69, 0.55, 0.55, 0.27, 0.16, -0.1, -0.19, -0.05, -0.05, 
##     -0.11, -0.13, -0.26, -0.34, -0.29, -0.29, -0.35, -0.35, -0.27, 
##     -0.37, -0.74, -0.71, -0.47, 0, -0.72, -0.83, -1.06, -1, -0.79, 
##     -1.14, -1.09, -1.14, -0.47, -0.35, 0.53, 0.67, 0.72, 0.87, 
##     1.08, 1.24, 1.3, 1.32, 1.3, 1.33, 1.28, 1.11, 1.16, 1.16, 
##     0.92, 1, -0.26, -0.11, -0.08, -0.11, -0.11, -0.18, -0.43, 
##     -0.61, -0.61, -1.17, -0.88, -0.9, -0.63, -1.03, -0.79, -0.56, 
##     -1.19, -1.46, -1.16, -1.06, -0.83, -0.08, -0.02, 0.51, 0.51, 
##     0.61, 0.87, 0.96, 0.88, 0.83, 1, 1.12, 1.32, 1.25, 1.2, 1.22, 
##     0.95, 0.85, 0.87, 0.88, 0.63, 0.56, 0.64, 0.69, 0.11, -0.14, 
##     -0.39, -0.4, -0.31, -0.1, -0.19, -0.37, -0.56, -0.69, -0.83, 
##     -0.85, -0.82, -0.85, -0.69, -0.59, -0.39, -0.88, -1.25, -1.24, 
##     -1.27, -1.64, -1.69, -0.67, -0.29, 0.37, 0.5, 0.42, 0.45, 
##     0.74, 0.77, 0.75, 0.72, 0.82, 1.01, 1.06, 1.16, 1.25, 1.22, 
##     1.19, 1.14, 1.08, 1.06, 1.04, 1, 0.93, 0.83, 0.8, 0.82, 0.95, 
##     0.51, 0.56, 0.56, 0.08, -0.18, -0.19, -0.22, -0.22, -0.69, 
##     -0.9, -1, -0.9, -0.82, -0.87, -1.04, -0.98, -0.92, -0.93, 
##     -0.93, -0.51, -0.08, 0, 0.24, 0.26, 0.27, 0.29, 0.26, 0.19, 
##     0.58, 0.75, 0.85, 1, 1.24, 1.14, 1.09, 1.06, 1.22, 1.06, 
##     1.01, 0.85, 0.77, 0.67, 0.56, 0.72, 0.48, 0.32, 0.19, -0.67, 
##     -0.32, -0.18, -0.08, -0.4, -0.51, -0.61, -0.69, -0.88, -0.66, 
##     -0.79, -0.8, -0.96, -0.63, -0.1, -0.92, -1.32, -1.12, -1.09, 
##     -1, -0.69, -0.47, -0.39, -0.24, 0.29, 0.42, 0.45, 0.55, 0.64, 
##     0.79, 0.87, 1.03, 1.16, 1.3, 1.3, 1.36, 1.22, 1.04, 0.93, 
##     0.93, 0.88, 0.79, 0.88, 0.58, 0.48, 0.5, 0.45, -0.22, -0.08, 
##     -0.21, -0.88, -1.14, -1.06, -1.16, -1.09, -1.25, -1, -0.9, 
##     -1.16, -1.22, -0.58, -0.53, -0.63, -0.63, -1.14, -0.58, -0.45, 
##     -0.31, -0.16, -0.08, -0.08, 0.06, 0.58, 0.48, 0.47, 1.19, 
##     1.33, 1.03, 0.79, 0.74, 0.77, 0.88, 0.13, -0.08, -0.11, 0.13, 
##     0.21, 0.24, -0.18, -0.83, -0.87, -1, -1.22, -1.22, -1.28, 
##     -1.46, -0.87, -0.83, -0.64, 0.03, 0.11, -0.08, -0.35, -0.45, 
##     -0.55, -0.55, -0.56, -0.56, -0.32, -0.27, -0.26, -0.22, -0.19, 
##     -0.21, -0.19, -0.24, -0.26, -0.27, -0.29, -0.27, -0.27, -0.22, 
##     -0.22, -0.22, -0.22, -0.19, -0.14, -0.16, -0.18, -0.22, -0.22, 
##     -0.22, -0.21, -0.19, -0.18, -0.19, -0.21, -0.22, -0.24, -0.24, 
##     -0.21, -0.21, -0.21, -0.21, -0.19, -0.19, -0.19, -0.18, -0.18, 
##     -0.18, -0.19, -0.21, -0.21, 1.56, 1.53, 1.51, 1.43, 1.32, 
##     1.25, 1.22, 1.27, 1.3, 1.19, 1.04, 0.93, 1, 1.22, 1.03, 0.63, 
##     0.69, 0.83, 0.98, 0.92, 0.66, 0.8, 0.8, 0.85, 0.96, 0.92, 
##     0.92, 0.96, 1.01, 1.16, 1.14, 1.22, 1.25, 1.38, 1.46, 1.46, 
##     1.46, 1.56, 1.12, 1.11, 1.09, 1.12, 1.06, 1.03, 1.03, 0.88, 
##     0.74, 0.61, 0.61, 0.69, 0.66, 0.47, 0.53, 0.47, 0.45, 0.4, 
##     0.61, 0.56, 0.88, 0.92, 0.96, 0.93, 1.08, 1.12, 1.03, 1.04, 
##     0.87, 0.82, 0.77, 0.82, 0.77, 1.01, 0.98, 0.82, 0.98, 1.01, 
##     0.75, 0.83, 0.69, 0.64, 0.64, 0.66, 0.85, 0.93, 1.08, 1.08, 
##     1.08, 1.04, 0.98, 0.96, 0.93, 0.9, 0.92, 1, 0.98, 1.16, 1.08, 
##     1.08, 1.01, 0.8, 1.2, 1.28, 0.98, 0.9, 0.87, 0.87, 0.88, 
##     0.88, 0.88, 0.88, 0.87, 0.87, 0.87, 0.93, 0.93, 0.9, 0.88, 
##     0.9, 0.85, 0.85, 0.8, 0.98, 1, 1.01, 1.03, 1.04, 1.25, 1.27, 
##     1.22, 0.98, 0.82, 0.63, 0.55, 0.66, 0.92, 1.09, 1.19, 1.24, 
##     1.27, 1.49, 1.49, 1.38, 1.32, 1.2, 0.95, 0.95, 1, 1.01, 0.95, 
##     0.93, 0.9, 0.87, 0.88, 0.92, 0.93, 0.93, 0.77, 0.82, -0.03, 
##     -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 0.02, 0, 0, -0.02, 
##     -0.02, -0.03, -0.03, -0.05, -0.03, -0.03, -0.02, -0.03, -0.02, 
##     -0.02, -0.02, -0.03, -0.03, -0.05, -0.06, -0.08, -0.08, -0.1, 
##     -0.06, -0.13, -0.16, -0.18, -0.19, -0.19, 0.02, 0.03, 0.02, 
##     0.02, 0.03, 0.02, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.05, 
##     0.1, 0.1, 0.1, -0.02, -0.03, -0.03, -0.03, -0.05, -0.05, 
##     -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.06, -0.03, -0.05, 
##     -0.05, -0.06, -0.03, -0.02, -0.03, -0.02, 0, 0, -0.02, -0.02, 
##     -0.02, -0.03, -0.03, -0.03, -0.02, 0.02, -0.08, -0.06, 0.02, 
##     0, -0.02, -0.03, -0.06, -0.16, -0.19, -0.22, -0.21, -0.19, 
##     -0.18, -0.14, -0.13, -0.1, -0.06, -0.11, -0.08, -0.06, -0.05, 
##     -0.03, -0.02, 0.06, 0.06, 0.05, 0.1, 0.06, 0.03, 0.02, 0, 
##     -0.03, -0.03, -0.03, 0, 0.02, 0.06, 0.1, 0.11, 0.02, -0.06, 
##     -0.1, -0.1, -0.14, -0.18, -0.11, -0.11, -0.1, -0.05, -0.02, 
##     -0.02, -0.02, -0.08, -0.08, -0.1, -0.05, -0.05, -0.03, -0.03, 
##     -0.05, -0.05, -0.05, -0.03, -0.05, -0.03, -0.02, -0.03, -0.03, 
##     -0.03, -0.02, -0.03, -0.05, -0.05, -0.03, 0.43, 0.48, 0.47, 
##     0.47, 0.48, 0.42, 0.31, 0.72, 1.01, 0.8, 0.82, 0.75, 0.61, 
##     0.37, 0.16, 0.11, 0.11, 0.03, -0.06, -0.19, -0.26, -0.58, 
##     -0.51, -0.24, -0.11, 0, -0.08, -0.22, -0.26, -0.24, -0.14, 
##     0.21, 0.14, 0.05, -0.08, -0.13, -0.1, -0.06, -0.06, -0.06, 
##     -0.05, -0.08, -0.1, -0.11, -0.1, -0.08, -0.02, 0, 0, -0.02, 
##     -0.03, -0.08, -0.1, -0.08, -0.08, -0.1, -0.08, -0.06, -0.03, 
##     -0.02, -0.02, -0.05, -0.08, -0.1, -0.11, -0.13, -0.06, -0.06, 
##     -0.05, -0.05, 0.16, 0.26, 0.29, 0.32, 0.35, 0.31, 0.22, 0.1, 
##     0.06, 0.05, 0.03, 0.05, 0.05, -0.05, -0.1, -0.18, -0.29, 
##     -0.34, -0.31, -0.31, -0.31, -0.31, -0.21, -0.19, -0.18, -0.27, 
##     -0.29, -0.19, 0, 0.4, 0.43, 0.26, 0.03, -0.19, 0, 0.02, -0.05, 
##     -0.05, 0.14, 0.13, 0, 0, -0.06, -0.29, 0.05, 0.43, 0.47, 
##     0.08, -0.03, -0.05, -0.06, -0.05, -0.05, -0.06, -0.11, -0.11, 
##     -0.11, -0.1, -0.1, -0.1, -0.08, -0.06, -0.06, -0.02, 0.02, 
##     0.16, 0.22, 0.21, 0.22, 0.26, 0.27, 0.29, 0.35, 0.53, 0.64, 
##     0.37, 0.32, 0.34, 0.22, 0, -0.05, 0.1, 0.26, 0.29, 0.31, 
##     0.48, 0.61, 0.61, 0.58, 0.51, 0.11, -0.06, -0.03, 0.08, 0.13, 
##     0.69, 0.79, 0.67, 0.22, -0.37, 0.03, 0.08, -0.05, -0.39, 
##     -0.5, -0.61, -0.64, -0.61, -0.43, -0.51, -0.24, -0.64, -0.55, 
##     -0.39, -0.71, -0.5, -0.51, -0.67, -0.95, -1.06, -0.63, -0.31, 
##     -0.11, -0.02, -0.05, -0.08, -0.03, 0.11, -0.22, -0.29, -0.18, 
##     0.27, 0.77, 0.93, 1.06, 1.12, 0.93, 0.69, 0.29, 0.26, 0.22, 
##     0.43, 0.39, 0.63, 0.72, 0.79, 0.66, 0.47, 0.39, 0.24, 0.16, 
##     0.03, -0.19, -0.26, -0.35, -0.35, -0.34, -0.32, -0.5, -0.48, 
##     -0.63, -0.92, -0.66, -0.79, -0.8, -0.59, -0.56, -0.67, 0.79, 
##     0.74, 0.64, 0.5, 0.43, 0.5, 0.67, 0.82, 0.67, 0.55, 0.22, 
##     -0.02, -0.03, 0.16, 0.35, 0.45, 0.61, 0.47, -0.02, -0.22, 
##     -0.14, 0, 0.08, 0, -0.06, -0.18, -0.37, -0.39, -0.75, -0.74, 
##     -0.79, -0.58, -0.45, -0.67, -0.98, -0.92, -0.77, -0.39, -0.22, 
##     -0.32, -0.4, -0.08, -0.63, -0.21, -0.42, 0.16, 0.24, 0.34, 
##     0.37, 0.22, 0.14, 0.11, 0.48, 0.69, 0.85, 0.64, 0.47, 0.37, 
##     0.42, 0.45, 0.43, 0.5, 0.56, -0.43, -0.56, -0.66, -0.48, 
##     -0.55, -0.67, -0.64, -0.63, -0.64, -0.58, -0.47, -0.53, -0.42, 
##     -0.43, -0.64, -0.63, -0.67, -0.59, -0.53, -0.47, -0.4, -0.34, 
##     -0.55, -0.64, -0.34, -0.42, -0.32, -0.37, -0.13, 0.08, 0.06, 
##     0.05, -0.02, 0, 0.06, 0.32, 0.08, 0.06, 0.08, -0.1, -0.26, 
##     -0.03, 0.63, 0.95, 1.03, 1.01, 0.8, 0.72, 0.64, 0.63, 0.58, 
##     0.79, 0.56, 0.02, 0.8, 0.74, 0.61, 0.26, 0.02, -0.02, -0.05, 
##     -0.4, -0.63, -0.56, -0.58, -0.61, -0.66, -0.67, -0.59, -0.58, 
##     -0.8, -0.58, -0.34, -0.59, -0.55, -0.42, -0.11, -0.11, -0.14, 
##     -0.59, -0.55, -0.5, -0.18, -0.06, -0.32, -0.1, 0.26, 0.42, 
##     0.43, 0.43, 0.43, 0.35, 0.32, 0.34, 0.31, 0.31, 0.13, 0.35, 
##     0.72, 0.85, 0.92, 0.92, 0.88, 0.77, 0.64, 0.35, 0.45, 0.39, 
##     0.45, 0.11, 0.03, 0.11, 0.37, 0.67, 0.69, 0.61, 0.61, 0.71, 
##     0.02, -0.03, 0.02, -0.16, -0.31, -0.47, -0.48, -0.55, -0.59, 
##     -0.45, -0.63, -0.43, -0.55, -0.58, -0.61, -0.55, -0.4, -0.26, 
##     -0.27, -0.27, -0.32, -0.48, -0.48, -0.39, -0.48, -0.45, -0.34, 
##     -0.42, -0.45, -0.45, -0.43, -0.45, -0.51, -0.58, -0.55, -0.31, 
##     0.05, 0.32, 0.43, 0.19, 0.03, -0.02, 0.16, 0.24, 0.13, 0.02, 
##     -0.02, 0.06, 0.31, 0.48, 0.64, 0.75, 0.21, 0.16, 0.21, 0.55, 
##     0.59, 0.64, 0.93, 0.9, 0.64, 0.45, 0.43, 0.18, 0.11, 0.18, 
##     0.4, 0.53, 0.69, 0.71, 0.59, 0.42, 0.29, 0.29, 0.32, 0.27, 
##     0.18, 0.16, -0.1, -0.26, -0.42, -0.43, -0.45, -0.51, -0.55, 
##     -0.53, -0.69, -0.64, -0.55, -1.01, -1.06, -0.96, -0.35, -0.64, 
##     -0.39, -0.66, -0.69, -0.74, -0.69, -0.16, -0.1, 0.51, 0.4, 
##     0.16, 0.21, 0.51, 0.27, 0.1, -0.08, 0.29, 0.48, 0.53, 0.47, 
##     0.4, 0.43, 0.31, 0.14, 0.32, 0.31, 0.05, -0.05, 0.4, 0.43, 
##     0.37, 0.32, 0.31, 0.26, 0.06, -0.06, -0.29, -0.34, -0.32, 
##     -0.37, -0.47, -0.51, -0.55, -0.77, -0.82, -0.9, -0.98, -0.85, 
##     -0.82, -0.8, -0.75, -0.71, -0.67, -0.72, -0.96, -0.77, -0.48, 
##     -0.34, -0.14, 0.82, 0.9, 0.96, 0.9, 0.77, 0.72, 0.55, 0.58, 
##     0.69, 0.87, 1, 0.9, 0.74, 0.71, 0.88, 0.98, 0.92, 0.8, 0.72, 
##     0.71, 0.77, 0.9, 0.93, 0.82, 0.75, 0.83, 0.82, 0.88, 0.9, 
##     0.9, 0.95, 1.08, 1.16, 1.16, 1.19, 1.25, 1.27, 1.33, 1.4, 
##     1.3, 1.46, 1.61, 1.67, 1.75, 1.7, 1.35, 1.3, 1.2, 1.24, 1.16, 
##     1.08, 1.11, 1.17, 1.19, 1.17, 1.11, 1.08, 1.09, 1.09, 1.06, 
##     0.98, 1.08, 1.09, 0.92, 0.9, 0.95, 1.03, 1.03, 1.06, 1.04, 
##     1.03, 0.95, 0.96, 0.92, 0.9, 0.93, 0.95, 0.87, 0.77, 0.75, 
##     0.72, 0.71, 0.72, 0.8, 0.66, 0.75, 0.63, 0.47, 0.47, 0.74, 
##     0.83, 0.75, 0.43, 0.22, 0.34, 0.61, 0.66, 0.42, 0.42, 0.35, 
##     0.35, 0.47, 0.59, 0.64, -0.63, -0.53, -0.5, -0.51, -0.5, 
##     -0.45, -0.39, -0.31, -0.37, 0.03, 0.43, 0.42, 0.27, 0.13, 
##     0.06, 0.1, 0.27, 0.58, 0.61, 0.66, 0.59, 0, 0.1, -0.06, -0.21, 
##     -0.69, -0.48, 0.02, 0, 0.02, 0.24, 0.39, 0.43, 0.42, 0.39, 
##     0.29, 0.24, 0.22, 0.19, 0.14, 0.1, 0.08, 0.29, 0.32, 0.29, 
##     0.22, 0.19, 0.13, 0.14, 0.18, 0.13, 0.11, 0.14, 0.1, -0.03, 
##     -0.24, -0.21, -0.14, -0.13, -0.19, -0.19, -0.18, -0.35, -0.37, 
##     -0.11, 0.1, 0.11, 0.03, 0.02, 0, -0.08, -0.13, -0.11, -0.06, 
##     -0.19, -0.14, -0.11, -0.05, -0.05, -0.03, -0.06, -0.06, -0.05, 
##     -0.03, -0.08, -0.1, -0.1, -0.03, -0.13, -0.14, -0.11, -0.03, 
##     0.02, 0, -0.1, -0.05, -0.05, -0.03, 0.02, 0, -0.35, -0.14, 
##     -0.1, -0.11, -0.22, -0.37, -0.34, -0.29, -0.16, -0.06, 0.05, 
##     0.16, -0.03, -0.03, -0.02, 0, -0.02, -0.02, -0.02, -0.03, 
##     -0.02, 0.03, -0.06, -0.05, -0.05, -0.06, -0.08, -0.03, -0.03, 
##     -0.05, 0.03, -0.02, -0.05, -0.05, -0.03, -0.03, 0.02, 0, 
##     0, 0, 0, 0, 0.02, 0.05, 0.03, 0.02, 0.03, 0.03, 0.02, 0, 
##     0.02, 0.03, 0.05, 0.11, 0.05, 0.03, 0, 0, 0.05, 0.1, 0.14, 
##     0.11, 0.05, 0.11, 0.21, 0.19, 0.13, -0.06, 0.05, 0.24, 0.45, 
##     0.53, 0.48, 0.34, 0.06, -0.05, -0.19, -0.27, -0.22, -0.18, 
##     -0.14, -0.08, -0.27, -0.16, -0.18, -0.18, -0.08, -0.18, -0.64, 
##     -0.19, -0.05, -0.35, -0.58, 0.42, 0.35, -0.03, -0.39, -0.39, 
##     -0.35, -0.32, -0.32, -0.66, -0.92, -0.92, -0.77, -0.45, -0.5, 
##     -0.51, -0.53, -0.42, -0.32, -0.21, -0.1, -0.1, -0.11, -0.13, 
##     -0.14, -0.24, -0.34, -0.37, -0.37, -0.47, -0.45, -0.11, 0, 
##     0.18, 0.22, 0.24, 0.22, 0.05, -0.08, -0.14, -0.19, -0.34, 
##     -0.31, -0.13, -0.02, 0.13, 0.26, -0.02, -0.02, -0.06, -0.27, 
##     -0.19, -0.42, -0.32, -0.29, -0.34, -0.1, -0.1, -0.11, 0.77, 
##     1, 1.03, 0.83, 0.51, -0.13, -0.42, -0.47, -0.5, -0.48, -0.45, 
##     -0.43, -0.26, -0.22, -0.19, -0.16, -0.13, -0.14, -0.22, 0.11, 
##     0.11, 0.1, 0.1, -0.06, -0.18, -0.21, -0.32, -0.22, -0.16, 
##     -0.27, -0.4, -0.48, -0.31, -0.22, -0.18, -0.03, 0, -0.06, 
##     -0.1, -0.22, -0.51, -0.37, 0, 0.08, -0.21, -0.19, -0.19, 
##     -0.19, -0.19, -0.21, -0.21, -0.21, -0.24, -0.22, -0.22, -0.22, 
##     -0.21, -0.21, -0.22, -0.21, -0.19, -0.21, -0.22, -0.21, -0.19, 
##     -0.19, -0.21, -0.22, -0.22, -0.19, -0.85, -0.67, -0.18, 0.21, 
##     0.4, 0.64, 0.53, -22, 0.29, 0.06, -0.1, -0.16, -0.55, -0.48, 
##     -0.26, -0.18, 0.03, 0.1, 0.16, 0.11, -0.05, -0.11, -0.19, 
##     -0.32, -0.16, -0.21, -0.21, -0.19, -0.16, -0.13, -0.13, -0.13, 
##     -0.13, -0.06, -0.05, -0.02, -0.02, -0.03, -0.05, -0.08, -0.11, 
##     -0.14, -0.19, -0.22, -0.51, -0.9, -0.95, -1.01, -0.14, -0.05, 
##     0.03, 0.03, 0, -0.03, -0.05, 0, 0.02, 0.02, -0.02, -0.05, 
##     -0.1, -0.16, -0.19, -0.22, -0.26, -0.27, -0.21, -0.14, -0.1, 
##     -0.11, -0.13, -0.14, -0.1, -0.26, -0.43, -0.31, -0.35, -0.21, 
##     -0.14, -0.08, 0.19, 0.22, 0.29, 0.34, 0.27, 0.31, 0.47, 0.39, 
##     0.34, 0.39, 0.48, 0.53, 0.56, 0.53, 0.34, 0.32, 0.45, 0.53, 
##     -0.26, -0.5, -0.64, -0.77, -0.32, -0.24, -0.06, -0.35, -0.35, 
##     -0.4, -0.5, -0.56, -0.61, -0.03, -0.43, -0.39, -0.29, -0.87, 
##     -0.82, -0.59, -0.39, -0.48, -0.35, -0.75, -0.26, -0.27, -0.26, 
##     -0.24, -0.19, -0.29, -0.42, -0.42, -0.29, -0.26, -0.26, -0.11, 
##     0.51, 0.48, 0.37, 0.67, 0.75, 0.69, 0.43, 0.32, -0.27, -0.47, 
##     -0.53, -0.75, -0.61, -0.45, -0.5, -0.43, -0.42, -0.48, -0.47, 
##     0.06, 0.13, 0.16, 0.18, 0.24, 0.26, 0.27, 0.29, 0.29, 0.31, 
##     0.31, 0.32, 0.31, 0.29, 0.37, 0.42, 0.47, 0.56, 0.56, 0.55, 
##     0.5, 0.47, 0.48, 0.5, 0.48, 0.59, 0.58, 0.53, 0.43, 0.16, 
##     0.13, 0.08, 0.11, -0.71, -0.88, -0.93, -0.87, -0.39, 0.66, 
##     0.72, 0.39, 0.06, 0.03, 0.02, 0.05, 0.1, 0.18, 0.32, 0.31, 
##     0.27, 0.26, 0.24, 0.22, 0.37, 0.47, 0.66, 0.45, -0.02, -0.14, 
##     -0.19, -0.19, -0.16, 0.22, 0.19, 0.16, 0.21, 0.13, 0.13, 
##     0.58, 0.51, 0.29, 0.63, 0.74, 0.64, 0.5, 0.34, 0.47, 0.58, 
##     0.66, 0.71, 0.74, 0.67, 0.74, 0.71, 0.64, 0.29, 0.14, 0.11, 
##     -0.11, -0.55, -0.71, -0.77, -0.9, -1, -0.71, -0.32, -0.26, 
##     -0.56, -0.35, -0.05, 0.18, -0.1, -0.39, -0.71, -0.66, -0.26, 
##     0.18, 0.35, 0.1, -0.02, -0.21, -0.16, 0.34, 0.39, 0.48, 0.4, 
##     0.58, 0.63, 0.64, 0.77, 0.72, 0.56, 0.66, 0.61, 0.74, 0.63, 
##     0.53, 0.48, 0.4, 0.47, 0.56, 0.43, 0.4, 0.35, 0.29, 0.21, 
##     0.18, 0.13, -0.31, -0.42, -0.55, -0.69, -0.9, -1.03, -1.06, 
##     0.34, 0.21, 0.08, 0.02, -0.03, 0.02, 0.05, 0.03, -0.03, -0.02, 
##     -0.02, -0.05, -0.05, 0.06, 0.06, 0.08, 0.1, 0.11, 0.08, 0.06, 
##     0.06, 0, 0.03, 0.06, 0.06, 0.06, 0.06, 0.03, 0.14, 0.14, 
##     0.19, 0.24, 0.42, 0.53, 0.56, 0.61, 0.72, 0.8, 0.8, 0.92, 
##     0.9, 0.8, 0.82, 0.75, 0.87, 0.87, 0.82, 0.51, 0.59, 0.98, 
##     1.11, 1.09, 0.75, 0.79, 0.92, 1.17, 0.5, -0.35, -0.71, -0.72, 
##     -0.74, -0.96, -1.2, -1.28, -1.12, -0.98, -0.67, -0.66, -0.79, 
##     -0.47, -0.16, -0.05, -0.02, -0.11, -0.1, 0.18, 0.69, 0.83, 
##     0.82, 0.72, 0.67, 0.61, 0.53, 0.45, 0.45, 0.5, 0.64, 0.75, 
##     0.93, 0.79, 0.69, 0.74, 0.75, 0.67, 0.51, 0.48, 1.11, 1.14, 
##     0.63, 0.19, -0.51, -0.98, -0.96, -0.82, -0.71, -0.72, -0.74, 
##     -0.69, -0.85, -0.79, -0.71, -0.61, -0.43, -0.51, -0.63, -0.5, 
##     -0.31, -0.55, -0.51, -0.47, -0.21, -0.02, -0.02, -0.22, -0.18, 
##     0.02, 0.64, 0.79, 0.51, 0.29, 0.35, 0.43, 0.53, 0.64, 0.72, 
##     0.77, 1, 1.19, 0.93, 0.75, 0.64, 0.4, 0.43, 0.72, 0.77, 0.83, 
##     1.32, 1.36, 1.16, 1.16, 0.96, 0.11, -0.21, -0.39, -0.55, 
##     -0.74, -0.87, -1.03, -0.88, -0.79, -0.66, -0.56, -0.16, -0.18, 
##     -0.43, -0.55, -0.61, -0.93, -0.47, 0.4, 0.26, 0.85, 0.74, 
##     0.56, 0.56, 0.95, 1.3, 1.36, 0.45, 0.08, -1.01, -1.24, -1.25, 
##     -1.25, -1.41, -1.01, -0.77, -0.45, -0.75, -0.79, -0.64, -0.82, 
##     -0.19, -0.4, -0.5, -0.4, -0.39, 1.19, 0.92, 0.22, 0.61, 1, 
##     1, 0.88, 0.75, 0.56, 0.5, 0.47, 0.92, 0.79, 0.72, 0.63, 0.48, 
##     0.14, 0.24, 0.42, 0.56, 0.79, 0.72, 0.88, 1.16, 1.25, 0.88, 
##     0.37, -0.45, -0.37, -0.45, -0.51, -0.5, -0.88, -1.45, -1.51, 
##     -1.88, -1.73, -1.73, -0.92, -0.96, -0.71, -1.03, -0.51, 0.16, 
##     0.11, -0.39, 0.95, 1.11, 0.83, 0.37, 0.22, 0.13, 0.29, 0.27, 
##     0.27, 0.32, 0.32, 0.35, 0.77, 0.98, 1.22, 1.16, 0.92, 0.77, 
##     0.43, 0.29, 0.82, 0.82, 0.93, 1.19, -0.29, -1.03, -1.04, 
##     -0.85, -0.67, 0.75, 0.98, 1.14, 0.47, 0.34, 0.47, 0.63, 0.85, 
##     0.96, 0.87, 0.98, 1.27, 1.32, 1.45, 1.48, 0.74, -0.22, -0.75, 
##     -0.72, -0.64, -0.74, -0.85, -0.95, -1.16, -1.38, -0.48, -0.08, 
##     -0.02, 0.02, -0.06, -0.1, -0.08, 0.08, -0.05, -0.1, -0.42, 
##     -0.9, -0.71, -0.53, 0.13, 0.45, 0.8, 0.45, 0.39, 0.5, 0.47, 
##     0.43, 0.4, 0.27, 0.64, 0.71, 0.64, 0.67, 0.75, 0.64, 0.55, 
##     0.55, 0.34, 0.29, 0.42, 0.85, 0.88, 1.09, 1.22, 1.19, 0.95, 
##     0.74, 0.39, 0.03, -0.31, -1, -1.01, -1.41, -1.36, -1.25, 
##     -1.17, -0.87, -0.45, -0.22, -0.22, 0, -0.06, -0.26, -0.27, 
##     -0.22, -0.37, -0.39, -0.1, -0.19, -0.14, -0.06, -0.02, 0, 
##     -0.02, -0.06, -0.11, -0.21, -0.1, -0.05, -0.08, -0.18, -0.5, 
##     -0.55, -0.21, -0.22, -0.22, -0.21, -0.21, -0.21, -0.29, -0.27, 
##     -0.26, -0.21, -0.21, -0.19, -0.16, -0.13, -0.03, 0.05, 0.14, 
##     0.13, 0.18, 0.11, -0.02, -0.08, -0.19, -0.16, -0.02, -0.55, 
##     -0.63, -0.71, -0.8, -0.92, -1.03, -1.16, -1.22, -1.17, -1.11, 
##     -0.93, -0.83, -0.66, -0.64, -0.39, -0.21, -0.16, -0.27, -0.53, 
##     -0.55, 0.24, 0.27, 0.13, -0.26, -0.22, -0.14, 0, 0.19, 0.18, 
##     0.06, -0.14, -0.26, -0.11, -0.13, -0.06, 0.03, 0.02, -0.02, 
##     -0.26, -0.19, -0.16, -0.11, -0.11, -0.16, -0.19, -0.19, 0.18, 
##     0.34, 0.4, 0.42, 0.1, -0.11, -0.22, -0.29, -0.22, -0.29, 
##     -0.26, -0.05, 0.03, 0.02, -0.05, -0.32, -0.37, -0.26, -0.08, 
##     0, -0.42, -0.27, -0.42, -0.58, -0.67, -0.67, -0.71, -0.71, 
##     -0.71, -0.85, -0.9, -0.88, -0.92, -0.88, -0.77, -0.61, 0.03, 
##     -0.02, 0.03, 0.18, 0.22, 0.21, -0.18, -0.31, -0.4, -0.43, 
##     -0.43, -0.39, -0.29, -0.22, -0.19, -0.21, -0.22, -0.31, -0.51, 
##     -0.58, -0.66, -0.4, -0.32, -0.03, 0.11, 0.11, 0.05, -0.02, 
##     -0.13, -0.27, -0.4, -0.47, -0.48, -0.42, -0.42, -0.48, -0.9, 
##     -0.98, -0.85, -0.61, -0.61, -0.67, -0.69, -0.67, -0.66, -0.61, 
##     -0.55, -0.26, -0.1, -0.05, -0.1, -0.48, -0.51, -0.4, -0.35, 
##     -0.35, -0.26, -0.16, -0.11, -0.08, -0.06, 0.08, 0.14, 0.1, 
##     -0.02, -0.11, -0.51, 0.03, 0.27, 0.37, 0.42, 0.53, 0.22, 
##     0.03, -0.13, -0.27, -0.24, 0, 0.11, 0.26, 0.24, 0.21, -0.19, 
##     -0.39, -0.47, -0.5, -0.71, -0.69, -0.71, -0.92, -0.85, -0.77, 
##     -0.63, -0.45, -0.32, -0.11, -0.22, -0.64, -0.51, -0.4, -0.18, 
##     -0.1, -0.06, 0.02, 0.16, 0.18, 0.18, 0.14, 0.18, -0.43, -0.45, 
##     -0.39, -0.24, -0.06, 0.11, 0.13, 0.13, -0.14, -0.11, -0.14, 
##     -0.13, -0.03, 0.06, 0.1, 0.11, 0.13, 0.11, -0.18, -0.5, -0.56, 
##     -0.37, -0.13, -0.16, -0.14, -0.18, -0.27, -0.24, -0.26, -0.19, 
##     -0.16, -0.24, -0.37, -0.47, -0.69, -0.72, -0.8, -0.82, -0.79, 
##     -0.5, -0.31, -0.26, -0.26, -0.51, -0.8, -0.74, -0.63, -0.29, 
##     -0.21, -0.16, -0.29, -0.31, 0.02, 0.08, 0.22, 0.31, 0.22, 
##     0.03, -0.11, -0.19, -0.53, -0.64, -0.77, -0.08, 0.22, 0.47, 
##     0.66, 0.48, 0.42, -0.11, -0.32, -0.45, -0.13, 0.1, 0.16, 
##     0.19, 0.29, 0.16, 0.06, -0.03, -0.19, -0.34, -0.47, -0.58, 
##     -0.61, -0.55, -0.32, -0.22, 0.08, -0.29, -0.34, -0.47, -0.5, 
##     -0.53, -0.61, -0.56, -0.64, -1.11, -0.82, -0.71, -0.61, -0.53, 
##     -0.47, -0.34, -0.32, -0.14, -0.05, 0.08, 0.18, 0.19, 0.14, 
##     0.24, 0.29, 0.31, 0.32, 0.43, 0.43, 0.5, 0.39, -0.22, -0.72, 
##     -0.74, -0.77, -0.74, -0.55, -0.61, -0.39, -0.4, -0.45, -0.47, 
##     -0.45, -0.39, 0.02, 0.24, 0.43, 0.42, 0.24, 0.03, -0.16, 
##     -0.27, -0.39, -0.06, -0.03, 0.06, 0.19, 0.24, 0.29, 0.37, 
##     0.37, 0.4, 0.4, 0.13, -0.08, -0.24, -0.4, -0.48, -0.71, -0.61, 
##     -0.47, -0.4, -0.43, -0.13, 0.06, 0.34, 0.43, 0.45, 0.45, 
##     0.45, 0.45, 0.39, -0.32, -0.35, -0.37, -0.47, -0.5, -0.56, 
##     -0.56, -0.48, -0.39, -0.31, -0.27, -0.1, -0.05, -0.02, -0.43, 
##     -0.72, -0.63, -0.58, -0.58, -0.75, -1.01, -1.04, -1.03, -0.71, 
##     -0.47, -0.42, -0.42, -0.26, -0.13, -0.08, -0.18, -0.21, -0.27, 
##     -0.34, -0.43, -0.03, 0.06, 0.16, 0.18, 0.16, 0.19, 0.18, 
##     0.05, -0.18, -0.45, -0.58, -0.43, -0.29, -0.29, -0.51, -0.26, 
##     -0.4, -0.31, -0.11, -0.26, -0.08, -0.02, -0.03, 0.02, 0.05, 
##     -0.18, -0.19, -0.32, 0.03, 0.1, 0.14, 0.19, 0.16, 0, -0.05, 
##     0.03, 0.21, 0.5, 0.72, 0.43, 0.13, -0.06, -0.18, 0.06, 0.18, 
##     0.19, 0.19, 0.1, -0.35, -0.56, -0.13, -0.11, -0.11, 0.34, 
##     0.37, -0.35, -0.72, -0.87, -0.08, 0.75, 0.51, -0.4, -0.72, 
##     -0.19, -0.26, -0.24, -0.51, -0.27, -0.21, 0.03, 0.35, 0.51, 
##     0.43, 0.03, -0.24, -0.37, -0.34, -0.26, -0.27, -0.21, 0.06, 
##     0.02, 0.16, 0.27, 0.56, 0.13, 0.02, -0.13, -0.39, -0.42, 
##     -0.29, 0.24, 0.4, 0.06, -0.18, -0.34, -0.32, -0.19, -0.02, 
##     0.71, 0.4, -0.35, -0.63, -0.77, -0.88, -1.17, -0.67, 0.5, 
##     0.63, 0.48, 0.27, 0.06, -0.1, -0.16, -0.34, -0.34, -0.37, 
##     -0.39, -0.5, -0.13, 0.06, 0.03, 0.05, 0.03, 0.39, 0.14, -0.03, 
##     0.02, 0.05, 0.06, 0, -0.03, -0.05, 0.03, 0, 0, -0.03, -0.06, 
##     -0.03, 0.02, 0, -0.03, -0.05, -0.03, -0.03, -0.03, -0.02, 
##     -0.02, 0.02, 0, 0.02, 0.02, 0.02, 0.05, 0.03, 0, 0, 0.02, 
##     0.03, 0.03, 0.03, 0.06, 0.03, 0, -0.02, -0.03, 0, 0.06, 0.18, 
##     0.22, 0.21, 0.24, 0.21, -0.1, -0.21, -0.19, -0.1, -0.11, 
##     -0.13, -0.32, -0.29, -0.31, -0.26, -0.18, -0.05, 0.13, -0.16, 
##     -0.32, -0.35, -0.35, -0.06, 0.06, 0.18, 0.26, 0.4, 0.59, 
##     0.58, 0.16, 0.14, 0.19, 0.31, 0.32, 0.34, 0.27, -0.1, -0.13, 
##     -0.19, 0.05, 0.21, 0.06, -0.18, -0.48, -0.35, 0.13, 0.02, 
##     -0.32, -0.22, 0.1, 0.08, -0.16, -0.27, -0.58, -0.71, -0.42, 
##     0.51, 0.71, -0.11, -0.48, -0.53, -0.22, -0.19, -0.72, -0.67, 
##     -0.45, -0.26, -0.24, -0.39, -0.48, -0.55, -0.55, -0.4, -0.34, 
##     0.59, 0.64, 0.64, 0.32, 0.27, 0.22, 0.21, 0.19, 0.16, 0.13, 
##     0.11, 0.1, -0.02, -0.08, -0.13, 0.03, 0.16, 0.29, 0.47, 0.39, 
##     0.06, 0.14, 0.32, 0.48, 0.42, 0.27, 0.13, 0.03, -0.03, -0.24, 
##     0.39, 0.47, 0.43, 0.34, 0.27, 0.19, 0.21, 0.32, 0.24, 0.16, 
##     0.02, -0.13, -0.14, -0.11, -0.02, 0.13, 0.22, 0.32, 0.47, 
##     0.27, 0.11, -0.06, -0.32, -0.21, 0.18, 0.39, 0.39, 0.29, 
##     0.18, 0.19, 0.24, 0.29, 0.27, -0.14, -0.11, 0.03, -0.02, 
##     -0.03, -0.06, -0.13, -0.1, -0.1, -0.27, -0.27, -0.34, -0.48, 
##     -0.51, -0.53, -0.45, 0.34, 0.22, -0.26, -0.55, -0.14, 0, 
##     0.18, 0.08, -0.31, -0.26, -0.18, 0.05, 0.18, 0.05, -0.32, 
##     -0.08, -0.16, -0.16, -0.16, -0.55, -0.83, -0.83, -0.63, -0.56, 
##     -0.5, -0.58, -0.67, -0.21, -0.19, -0.14, -0.06, 0, 0.1, 0.29, 
##     0.27, 0.16, 0.06, 0, 0.03, 0.22, 0.1, 0.02, -0.08, -0.13, 
##     0.34, 0.1, -0.02, 0.03, 0.1, 0.03, 0.08, 0.06, -0.02, -0.02, 
##     -0.11, -0.4, -0.4, -0.32, 0.05, -0.03, 0.26, 0.29, 0.27, 
##     0.22, 0.16, 0.06, -0.06, -0.11, -0.08, 0.14, 0.53, 0.71, 
##     0.75, 0.61, 0.4, 0.16, -0.05, -0.19, 0, 0.06, -0.05, -0.05, 
##     -0.02, 0.03, 0.11, 0.22, -0.21, -0.18, -0.18, -0.22, -0.37, 
##     -0.26, -0.11, -0.13, -0.22, -0.13, -0.03, 0.16, 0.19, 0.27, 
##     0.31, 0.13, 0.06, 0.05, 0.16, 0.22, 0.27, 0.29, 0.42, -0.06, 
##     -0.1, -0.13, -0.11, 0, 0.11, 0.11, 0.22, 0.24, 0.24, 0.19, 
##     0.14, 0, -0.05, -0.08, -0.1, -0.06, -0.05, 0.06, 0.1, -0.11, 
##     -0.27, -0.42, -0.4, -0.45, -0.59, -0.69, -0.51, -0.39, -0.26, 
##     -0.13, -0.14, -0.53, -0.53, -0.5, -0.51, -0.24, -0.08, 0.03, 
##     -0.08, 0, 0.14, 0.32, 0.42, 0.39, 0.32, 0.24, 0.1, 0.14, 
##     0.34, 0.45, 0.35, 0.08, -0.34, -0.51, -0.34, -0.55, -0.59, 
##     -0.69, -0.82, -0.96, -0.67, -0.4, -0.27, -0.31, 0.1, 0.29, 
##     0.31, 0.26, 0.31, 0.39, 0.43, 0.32, 0.13, 0.11, 0.13, 0.08, 
##     -0.03, -0.11, -0.16, -0.18, -0.19, -0.16, -0.05, -0.03, 0, 
##     0.05, 0.06, 0.06, 0.03, 0.06, 0.05, 0.05, 0.05, 0.03, -0.02, 
##     -0.06, 0.05, 0.1, 0.77, 0.88, 1.19, 1.36, 1.27, 1.2, 1.24, 
##     1.11, 0.85, 0.9, 0.88, 0.82, 1.38, 1.19, 0.13, -0.18, -0.48, 
##     -1.03, -1.19, -1.33, -1.93, -1.85, -1.99, -2.07, -2.12, -1.8, 
##     -1.41, -1.51, -1.04, -0.74, -0.48, -0.29, 0.16, 0.31, 0.21, 
##     0.58, 0.74, 1.04, 1.49, 1.57, 1.48, 1.43, 1.48, 1.46, 1.14, 
##     1.16, 1.41, 1.38, 1.08, 0.24, -0.08, -0.32, -0.56, -0.74, 
##     -0.87, -1.22, -1.3, -1.75, 1.69, 1.78, 1.8, 1.78, 1.7, 1.33, 
##     0.8, 0.83, 0.93, 0.82, 0.77, 0.22, -0.27, -0.35, -0.48, -0.71, 
##     -1.08, -1.54, -1.64, -1.78, -1.83, -2.02, -2.1, -1.65, -1.98, 
##     -1.61, -1.48, -1.27, -0.79, -0.59, 0.06, 0.27, 0.43, 0.92, 
##     1.4, 1.48, 1.46, 1.41, 1.41, 1.36, 1.22, 1.17, 0.48, 0.06, 
##     0.74, 1.25, 1.3, 1.24, 0.79, 0.02, -0.48, -0.67, -0.79, -0.87, 
##     -0.96, -1.24, -1.4, -1.62, -1.78, -1.78, -1.72, -1.38, -1.59, 
##     -1.46, -1.17, -1.41, -1.25, -1.3, -1.25, -1.22, -0.11, -0.02, 
##     0.14, 0.48, 0.51, 0.92, 1.56, 1.54, 1.53, 1.51, 1.53, 1.3, 
##     0.95, 0.98, 0.85, 0.82, 1.04, 0.64, -0.43, -0.85, -1.22, 
##     -2.01, -2.14, -1.99, -1.56, -1.45, -1.48, -1.56, -1.33, -1.25, 
##     -1.65, -1.69, -1.41, -0.75, -0.59, -0.55, -0.35, 0.16, 0.39, 
##     0.53, 0.63, 0.75, 1.64, 1.67, 1.67, -0.71, -0.53, -0.29, 
##     0.47, 0.53, 0.79, 1.16, 1.38, 1.91, 1.91, 1.65, 1.62, 1.62, 
##     1, 0.47, 0.24, 0.02, -0.05, -0.79, -1.45, -1.62, -1.78, -1.8, 
##     -1.91, -2.14, -2.46, -1.98, -1.48, -1.53, -0.71, -0.45, 0.1, 
##     0.13, 0.35, 0.58, 0.61, 0.56, 0.93, 1.43, 1.59, 1.49, 1.03, 
##     0.69, 0.43, 0.31, 0.27, 1.2, 0.9, 0.18, -1.01, -1.2, -1.46, 
##     -1.56, -1.48, -1.59, -1.49, -1.4, -1.43, -1.51, -1.78, -1.78, 
##     -1.56, -1.35, -1.09, -1.11, -1.16, -1, -0.85, -0.22, 0, 0.43, 
##     0.58, 0.5, 0.26, 0.48, 0.85, 1.73, 1.72, 1.89, 1.98, 1.56, 
##     1.62, 1.62, 1.45, 1.12, 1, 0.96, 0.55, 0.55, 0.31, 0.34, 
##     0.64, 0.71, 0.64, -0.27, -0.55, -1.73, -1.78, -1.91, -1.99, 
##     -1.94, -2.47, -1.86, -2.14, -1.65, -1.49, -1.38, -1.17, -0.88, 
##     -0.72, -0.47, -0.03, 0.43, -1.51, -1.36, -1.4, -1.48, -1.28, 
##     -1.3, -1.25, -1.22, -0.88, -0.82, -0.61, -0.61, -0.47, -0.35, 
##     0.03, 0.31, 0.42, 0.34, 0.34, 0.35, 0.4, 0.42, 0.24, 0.16, 
##     0.08, 0.11, 0.02, -0.22, 0.02, -0.03, -0.02, 0.93, 0.95, 
##     1, 1.01, 1.01, 0.95, 0.96, 0.95, 0.95, 0.95, 0.92, 0.83, 
##     0.79, 0.79, 0.75, 0.71, 0.66, 0.31, 0.19, 0.98, 0.98, 0.92, 
##     0.92, 0.88, 0.9, 0.92, 0.95, 1.01, 1, 0.98, 0.93, 0.96, 0.98, 
##     1, 1.01, 1.01, 1.11, 1.11, 1.09, 1.09, 1.08, 1.06, 0.96, 
##     0.96, 0.93, 0.88, 0.87, 0.87, 0.88, 0.9, 0.92, 0.95, 1.01, 
##     1.03, 1.04, 1.28, 1.35, 1.24, 1.2, 1.2, 1.24, 1.24, 1.17, 
##     1.08, 1.06, 1.11, 1.08, 0.9, 0.9, 0.88, 0.92, 1.01, 1.06, 
##     0.95, 1.11, 1.04, 1.19, 1.3, 1.28, 1.4, 1.45, 1.04, 1.14, 
##     1.35, 1.32, 1.12, 1.17, 1.27, 1.33, 1.54, 1.53, 1.4, 1.4, 
##     1.28, 1.22, 1.24, 1.16, 1.06, 1.01, 1.03, 1, 0.98, 0.98, 
##     1.03, 1.09, 1.06, 1.09, 0.98, 0.74, 0.48, 0.47, 0.42, 0.61, 
##     0.63, 0.82, 0.83, 1.11, 1.22, 0.88, 0.85, 0.48, 0.67, 0.64, 
##     0.61, 0.74, 0.61, 0.71, 0.77, 0.72, 0.67, 0.61, 0.58, 0.69, 
##     0.8, 1.08, 1.11, 1.11, 1.11, 1.11, 1.14, 1.17, 1.16, 0.96, 
##     1.03, 1.2, 1.3, 1.32, 1.25, 1.25, 1.2, 1.11, 1.03, 1.03, 
##     0.93, 0.96, 0.92, 0.88, 0.88, 0.83, 0.79, 0.63, 0.59, 0.45, 
##     0.37, 0.42, 0.34, -0.03, 0.26, 0.39, 0.53, 0.61, 1.04, 1.06, 
##     1.25, 1.45, 1.62, 1.61, 1.33, 1.25, 1.36, 1.17, 1.06, 1.04, 
##     1.25, 1.12, 1.03, 0.95, 0.93, 1.09, 1.12, 1.17, 1.36, 1.36, 
##     1.38, 1.41, 1.4, 1.38, 1.3, 1.28, 1.25, 1.17, 1.12, 0.98, 
##     0.92, 0.9, 0.87, 0.87, 0.85, 0.83, 0.79, 0.66, 0.63, 0.55, 
##     0.45, 0.19, 0.14, 0.1, 0.21, 0.19, 0.21, 0.75, 0.63, 0.61, 
##     0.43, 0.39, 0.69, 0.75, 0.93, 1.28, 1.38, 1.17, 0.63, 0.18, 
##     0.08, 0.06, 0.13, 0.21, 0.35, 0.59, 0.95, 1.08, 1.25, 1.17, 
##     1.22, 1.27, 1.27, 1.28, 1.27, 1.4, 1.41, 1.46, 1.61, 1.73, 
##     1.85, 1.88, 1.93, 1.89, 1.86, 1.67, 1.22, 1.28, 1.35, 1.48, 
##     1.49, 1.49, 0.51, 0.14, 0.26, 0.24, 0.21, 0.14, 0.47, 0.77, 
##     0.63, 0.61, 0.32, 0.34, 0.45, 0.45, 0.43, 0.51, 0.47, 0.39, 
##     0.39, 0.42, 0.42, 0.43, 0.59, 0.72, 0.72, 0.72, 0.77, 0.75, 
##     0.96, 0.96, 0.96, 1.14, 1.24, 1.46, 1.54, 1.3, 1.43, 1.36, 
##     1.43, 1.48, 1.51, 1.48, 1.35, 1.28, 1.24, 1.16, 1.04, 0.98, 
##     0.95, 0.95, 0.87, 0.88, 0.88, 0.85, 0.63, 0.51, 0.34, 0.35, 
##     0.11, 0.05, 0.08, -0.1, 0.02, 0.24, 0.55, 0.47, 0.45, 0.4, 
##     0.31, 0.29, 0.39, 0.4, 0.5, 0.58, 0.43, 0.43, 0.51, 0.5, 
##     0.47, 0.5, 0.56, 0.55, 0.59, 0.71, 0.71, 0.72, 0.75, 0.87, 
##     0.92, 1, 1.03, 1.14, 1.27, 1.35, 1.46, 1.53, 1.62, 1.73, 
##     1.77, 1.8, 1.86, 1.98, 1.78, 1.78, 1.75, 1.7, 1.45, 1.49, 
##     1.43, 1.3, 1.4, 1.45, 1.51, 1.7, 1.49, 1.4, 1.33, 1.28, 1.27, 
##     1.27, 1.27, 1.19, 1.12, 1.04, 0.92, 0.9, 0.9, 0.95, 0.98, 
##     0.9, 0.67, 0.55, 0.34, 0.39, 0.16, 0.27, 0.61, 0.9, 1.11, 
##     1.06, 0.88, 0.8, 0.77, 0.64, 0.56, 0.71, 0.82, 1.01, 0.98, 
##     0.9, 0.75, 0.58, 0.42, 0.43, 0.55, 0.53, 0.55, 0.67, 0.71, 
##     0.67, 0.64, 0.55, 0.47, 0.45, 0.53, 0.61, 0.67, 0.77, 1.28, 
##     1.4, 1.51, 1.51, 1.53, 1.69, 1.73, 1.73, 1.73, 1.69, 1.7, 
##     1.7, 1.69, 1.69, 1.83, 1.78, 1.57, 1.22, 1.06, 1.01, 1, 1.16, 
##     1.3, 1.46, 1.53, 1.46, 1.32, 1.24, 1.14, 1.14, 1.2, 1.25, 
##     1.24, 1.24, 1.25, 1.22, 1.2, 1.22, 1.24, 1.12, 1.11, 1.06, 
##     1.03, 1.03, 0.96, 0.92, 0.61, 0.4, 0.24, 0.42, 0.31, 0.39, 
##     0.27, 0.29, 0.18, 0.39, 0.4, 0.43, 0.24, 0.39, 0.26, 0.37, 
##     0.4, 0.39, 0.37, 0.39, 0.45, 0.58, 0.66, 0.67, 0.66, 0.79, 
##     0.79, 0.77, 0.79, 0.85, 0.9, 1, 1.03, 1.75, 1.75, 1.67, 1.7, 
##     1.96, 1.83, 1.75, 1.67, 1.51, 1.41, 1.43, 1.36, 1.28, 1.09, 
##     1.03, 0.92, 0.92, 0.96, 1.04, 1.17, 1.28, 1.28, 1.32, 1.27, 
##     1.25, 1.35, 1.3, 1.17, 1.16, 1.35, 1.45, 1.45, 1.4, 1.38, 
##     1.43, 1.19, 1.04, 0.82, 0.83, 0.85, 0.93, 0.88, 0.72, 0.9, 
##     0.88, 0.75, 0.77, 0.63, 0.39, 0.37, 0.5, 0.71, 0.85, 0.8, 
##     0.83, 0.8, 0.71, 0.66, 0.63, 0.63, 0.63, 0.67, 0.74, 0.74, 
##     0.77, 0.82, 0.85, 0.88, 0.88, 0.87, 0.83, 0.8, 0.82, 0.83, 
##     0.88, 1.24, 1.25, 1.32, 1.35, 1.36, 1.2, 0.88, 1.16, 1.03, 
##     1.04, 1.03, 1.17, 1.28, 1.24, 1.25, 1.24, 1.24, 0.14, 0.4, 
##     0.37, 0.51, 0.55, 0.61, 0.71, 0.74, 0.72, 0.67, 0.71, 0.88, 
##     0.9, 1, 0.95, 0.87, 0.87, 0.83, 0.92, 0.95, 0.96, 0.95, 0.98, 
##     0.98, 0.95, 0.92, 0.9, 0.67, 0.67, 0.87, 0.8, 0.69, 0.74, 
##     0.77, 0.71, 0.63, 0.67, 0.56, 0.48, 0.56, 0.31, 0.37, 0.27, 
##     0.71, 0.75, 0.8, 0.92, 1.11, 1.09, 1.12, 1.12, 1.28, 1.33, 
##     1.36, 1.43, 1.51, 1.53, 1.54, 1.64, 1.7, 1.65, 1.75, 1.73, 
##     1.73, 1.8, 1.77, 1.72, 1.7, 1.61, 1.35, 1.25, 1.35, -0.27, 
##     -0.39, -0.24, 0.16, 0.03, -0.06, -0.37, -0.64, -0.85, -0.69, 
##     -0.13, -0.02, -0.1, -0.11, -0.18, -0.24, -0.1, 0.19, 0.27, 
##     0.34, 0.39, 0.47, 0.16, 0.06, -0.06, -0.1, -0.05, -0.31, 
##     -0.43, -0.58, -0.55, -0.56, -0.59, -0.72, -0.92, -0.88, -0.74, 
##     -0.59, -0.74, -0.75, -0.67, -0.75, -0.69, -0.98, -0.88, -0.75, 
##     -0.64, -0.58, -0.53, -0.48, -0.72, -1.25, -0.69, -0.24, -0.29, 
##     -0.51, -0.45, -0.39, -0.39, -0.39, -0.34, -0.03, 0.06, -0.08, 
##     -0.22, -0.39, -0.21, 0.11, 0.13, 0.29, 0.42, 0.61, 0.67, 
##     0.69, 0.61, 0.59, 0.66, 0.45, 0.51, 0.63, 0.82, 1.11, 1.08, 
##     0.66, 0.05, 0, -0.05, -0.05, 0.27, 0.39, 0.48, 0.45, 0.27, 
##     0.19, 0.14, 0.05, 0.02, 0.13, 0.13, 0.06, 0.13, 0.29, 0.61, 
##     0.72, 0.77, 0.74, 0.43, 0.29, 0.08, -0.06, -0.08, -0.13, 
##     -0.27, -0.42, -0.4, -0.53, -0.53, -0.53, -0.55, -0.4, -0.34, 
##     -0.34, -0.5, -0.51, -0.56, -0.39, -0.29, -0.16, -0.39, -0.39, 
##     -0.53, -0.63, -0.45, -0.53, -0.29, -0.27, -0.34, -0.32, -0.64, 
##     -0.55, -0.24, -0.21, -0.35, -0.35, -0.34, -0.39, -0.34, -0.19, 
##     0.08, 0.11, 0.11, 0.08, 0.06, 0.05, 0.03, -0.03, -0.1, -0.11, 
##     -0.11, -0.1, -0.1, -0.1, -0.1, -0.1, -0.06, -0.08, -0.08, 
##     -0.06, -0.06, -0.02, 0.08, 0.42, 0.74, 0.72, 0.77, 0.87, 
##     0.87, 0.72, 0.66, 0.69, 0.59, 0.55, 0.69, 0.75, 0.64, 0.67, 
##     0.69, 0.64, 0.4, 0.35, 0.26, -0.69, -0.67, -0.5, -0.69, -0.66, 
##     -1.01, -0.98, -0.92, -0.77, -0.67, -0.59, -0.67, -0.64, -0.71, 
##     -0.8, -0.83, -1, -0.48, -0.45, -0.45, -0.47, -0.55, -0.32, 
##     -0.55, -0.19, 0.61, 0.4, 0.22, 0.21, 0.16, 0.35, 0.35, 0.02, 
##     -0.06, -0.18, 0.02, -0.13, -0.16, -0.34, -0.24, -0.55, -0.85, 
##     -0.85, -0.74, -0.66, -0.75, -0.75, -0.8, -0.98, -1.08, -1.04, 
##     -1, -0.87, -0.5, -0.11, -0.24, -0.19, -0.47, -0.72, -0.66, 
##     -0.55, -0.53, -0.53, -0.29, -0.39, -0.47, -0.34, -0.31, -0.24, 
##     -0.13, 0.16, 0.18, 0.21, 0.22, 0.24, 0.22, 0.21, 0.18, 0.5, 
##     0.96, 0.53, 0.1, 0, -0.11, -0.03, 0.34, 0.13, 0.13, 0.13, 
##     0.03, -0.19, 0.02, 0.06, 0.13, 0.22, 0.58, 0.71, 0.74, 0.58, 
##     0.4, 0.34, 0.39, 0.51, 0.47, -0.31, -0.11, 0.02, 0.08, -0.03, 
##     -0.14, -0.42, -0.47, -0.47, -0.47, -0.45, -0.56, -0.66, -0.59, 
##     -0.59, -0.45, -0.48, -0.55, -0.43, -0.51, -0.71, -1.01, -1.12, 
##     -0.39, -0.16, -0.42, -0.67, -0.75, -0.8, -0.93, -1.09, -1.17, 
##     -0.55, -0.63, -0.66, -0.64, -0.42, -0.06, 0.19, 0.24, 0.24, 
##     0.27, 0.32, 0.37, 0.42, 0.4, 0.32, 0.22, 0.42, 0.66, 0.9, 
##     1.08, 1.04, 0.39, 0.26, 0.26, 0.58, 0.64, 0.75, 0.93, 0.82, 
##     0.72, 0.82, 0.58, 0.34, 0.24, 0.26, 0.29, 0.32, 0.37, 0.42, 
##     0.35, 0.22, 0.19, 0.24, 0.16, 0.02, -0.16, -0.14, -0.13, 
##     -0.19, -0.27, -0.43, -0.61, -0.64, -0.53, -0.22, -0.13, -0.24, 
##     -0.35, -0.43, -0.55, -0.8, -0.82, -0.63, -0.66, -0.43, -0.34, 
##     -0.53, -0.64, -1, -0.9, -0.45, -0.32, -0.26, -0.21, -0.21, 
##     -0.26, 0.77, 0.93, 1.08, 1.04, 0.61, 0.39, 0.21, 0.22, 0.21, 
##     0.22, 0.27, 0.29, 0.31, 0.29, 0.27, 0.26, 0.21, 0.4, 0.35, 
##     -0.05, -0.11, -0.14, -0.16, -0.14, -0.22, -0.48, -0.55, -0.56, 
##     -0.58, -0.59, -0.64, -0.72, -0.88, -0.93, -0.93, -0.82, -0.67, 
##     -0.56, -0.47, -0.79, -0.69, -0.51, -0.16, -0.5, -0.5, -0.48, 
##     0.26, 0.26, -0.27, -0.56, -0.66, -0.53, -0.53, -0.59, -0.64, 
##     -0.43, -0.31, -0.26, -0.22, -0.14, -0.05, 0.06, 0.14, 0.21, 
##     0.14, 0.11, 0.03, 0.02, 0.11, 0.8, 0.21, 0.32, 0.45, 0.56, 
##     0.63, 0.63, 0.21, -0.26, 0.08, 0.13, -0.16, -0.27, -0.35, 
##     -0.63, -0.4, -0.58, -0.66, -0.67, -0.75, -0.9, -0.79, -0.83, 
##     -0.92, -0.8, -0.69, -0.8, -0.82, -0.8, -1.12, -0.64, -0.13, 
##     -0.06, -0.06, -0.51, -0.42, -0.48, -0.31, -0.27, -0.35, -0.58, 
##     -0.26, 0.29, 0.35, 0.35, 0.32, 0.21, 0.19, 0.19, 0.18, 0.27, 
##     0.29, 0.24, 0.22, 0.27, 0.42, 0.69, 0.8, 0.93, 0.96, 1, 1.03, 
##     1.04, 1.01, 0.8, 0.64, 0.55, 0.55, 0.98, 0.8, 0.71, 0.47, 
##     0.35, 0.35, 0.4, 0.42, 0.83, 0.47, 0.39, 0.32, -0.1, -0.31, 
##     -0.34, -0.37, -0.39, -0.5, -0.5, -0.53, -0.69, -0.71, -0.71, 
##     -0.61, -0.66, -0.69, -0.63, -0.59, -0.72, -0.85, -1, -1.14, 
##     -1.03, -0.47, -0.55, -0.83, -1, -0.75, -0.63, -0.56, -0.8, 
##     -0.88, -0.87, -0.74, -0.53, -0.21, 0.13, 0.16, 0.11, 0.02, 
##     0.02, 0.03, 0.14, 0.22, 0.37, 0.74, 0.55, 0.8, 1.28, 1.25, 
##     0.87, 0.66, 0.55, 1.22, 1.51, 1.16, 0.77, 0.55, 0.34, 0.24, 
##     0.37, 0.51, 0.61, 0.58, 0.59, 0.74, 0.13, 0.03, -0.03, -0.05, 
##     -0.14, -0.14, -0.11, -0.13, -0.18, -0.48, -0.66, -0.74, -0.79, 
##     -0.71, -0.64, -0.69, -0.75, -0.67, -0.63, -0.63, -0.85, 0.71, 
##     0.75, 0.75, 0.67, 0.69, 1.41, 1.32, 1.25, 1, 0.93, 1.17, 
##     1.33, 0.8, 0.88, 1.19, 1.28, 1.27, 1.12, 1.06, 1.06, 1.04, 
##     0.93, 1, 1, 0.98, 0.95, 0.43, 0.48, 0.48, 0.59, 0.59, 0.53, 
##     0.72, 0.8, 1.01, 1.09, 1.17, 1.14, 1.04, 1, 1.03, 1.01, 0.96, 
##     0.85, 0.71, 0.71, 0.63, 0.53, 0.55, 0.66, 0.98, 1.27, 1.35, 
##     1.27, 1.28, 1.43, 1.69, 1.73, 1.65, 1.64, 1.57, 1.54, 1.46, 
##     1.38, 1.36, 1.33, 1.16, 1.04, 1.01, 1.06, 1.22, 1.2, 1.19, 
##     1.04, 1.03, 1.04, 1.11, 1.19, 1.22, 1.19, 1.14, 1.12, 1.09, 
##     1.04, 0.92, 0.93, 1, 1, 1, 0.98, 0.96, 1, 0.96, 0.95, 0.87, 
##     0.93, 0.92, 0.95, 0.92, 0.95, 0.69, 0.24, 0.13, 0.16, 0.47, 
##     0.67, 0.79, 0.88, 0.79, 0.77, 0.69, 0.61, 0.43, 0.5, 0.63, 
##     0.67, 0.67, 0.45, 0.31, 0.24, 0.18, -0.43, -0.31, -0.1, 0.03, 
##     0.05, 0.08, 0.06, 0.02, 0.02, 0.03, 0.03, 0.08, 0.19, 0.13, 
##     0.03, 0.19, 0.34, 0.31, 0.26, 0.1, -0.1, -0.24, -0.1, 0.8, 
##     1.16, 0.05, 0.26, 0.26, 0.13, 0.03, -0.16, -0.03, 0.37, 0.71, 
##     0.45, 0.31, 0.51, 0.64, 0.87, 1.08, 1.14, 1.4, 1.19, 1.01, 
##     0.22, 0.29, 0.5, 0.56, 0.63, 0.64, 0.61, 0.55, 0.24, 0.1, 
##     -0.03, 0.11, 0.26, 0.24, 0.11, -0.22, -0.08, -0.03, -0.03, 
##     -0.05, -0.06, -0.21, -0.5, 0.55, 0.63, 0.48, 0.24, 0.13, 
##     0.19, 0.29, 0.69, 0.26, 0.08, 0.05, 0.08, 0.08, 0.27, 0.35, 
##     0.14, 0.5, 0.79, 0.82, 0.58, -0.19, -0.22, -0.26, -0.24, 
##     -0.24, 0.05, 0.1, 0.05, 0.1, 0.13, 0.1, 0.1, -0.11, -0.03, 
##     -0.02, -0.05, -0.05, -0.05, -0.03, -0.03, 0.92, 0.8, 0.71, 
##     0.55, 0.71, 1.16, 1.73, 1.98, 1.93, 1.59, 1.48, 1.49, 1.49, 
##     1.32, 1.14, 1.06, 1.17, 1.08, 1, 1.04, 1.12, 1.06, 0.96, 
##     0.88, -1.06, -1.3, -1.49, -1.86, -1.83, 1.41, 1.09, 1.01, 
##     1.04, 1.06, 1.03, 1.03, 1.06, 1.08, 0.92, 0.58, 0.22, -0.79, 
##     -1.14, -1.22, -1.45, -1.91, -1.54, -1.53, -2.02, -2.25, -1.93, 
##     -2.06, -1.72, -1.81, -1.89, -2.02, -1.86, -1.61, -1.7, -1.96, 
##     -2.04, -1.8, -1.67, -1.91, -1.49, -1.56, -1.43, -1.4, -0.82, 
##     -0.26, 0.1, 0.21, 0.37, 0.74, 0.75, 0.83, 1.33, 1.43, 1.53, 
##     0.03, 0.02, 0.08, 0.03, 0.03, 0.05, -0.02, -0.02, 0, 0, 0, 
##     0, -0.02, 0, 0, 0.03, 0.02, 0.02, 0.06, 0.03, 0.03, 0, 0.03, 
##     0.06, 0, 0.05, 0, 0, 0.03, 0.03, -0.16, -0.05, -0.05, -0.03, 
##     -0.06, 0, 0.45, 0.47, 0.39, 0.31, 0.26, -0.05, -0.29, -0.35, 
##     -0.35, -0.35, -0.37, -0.43, -0.63, -0.58, -0.55, -0.24, 0.06, 
##     0.13, 0.19, 0.21, -0.19, -0.13, -0.06, -0.05, 0.02, 0.16, 
##     -0.22, -0.48, -0.47, -0.5, -0.5, -0.53, -0.55, -0.61, -0.93, 
##     -1.04, -1.14, -1.22, -1.27, -0.9, -0.53, -0.05, 0.1, 0.19, 
##     0.08, -0.06, -0.14, -0.11, -0.51, -0.51, -0.47, -0.55, -0.47, 
##     -0.39, -0.42, -0.35, -0.35, -0.29, -0.08, 0.02, -0.05, -0.14, 
##     -0.29, -0.35, -0.43, -0.5, -0.66, -0.71, -0.67, -0.32, -0.19, 
##     -0.06, -0.06, -0.21, -0.27, -0.24, -0.22, -0.14, -0.02, 0.03, 
##     -0.03, 0, -0.05, 0.06, 0.22, -0.03, -0.45, -0.55, -0.66, 
##     -0.58, -0.45, -0.24, -0.18, -0.1, 0.14, 0.14, -0.22, -0.16, 
##     -0.13, -0.19, -0.19, -0.16, -0.14, -0.13, -0.13, -0.16, -0.19, 
##     -0.19, -0.21, -0.22, -0.22, -0.22, -0.21, -0.21, -0.24, -0.24, 
##     -0.19, -0.24, -0.39, -0.37, -0.16, -0.14, -0.08, -0.1, -0.16, 
##     -0.22, -0.24, -0.26, -0.27, -0.24, -0.22, -0.21, -0.22, -0.26, 
##     -0.13, -0.21, -0.26, -0.58, -0.55, -0.42, -0.67, -0.8, -0.66, 
##     -0.42, -0.43, -0.53, -0.51, -0.02, 0, 0.11, 0.88, 1.06, 1.03, 
##     0.92, 0.63, 0.35, -0.13, -0.31, -0.02, 0.03, 0.42, 0.4, 0.27, 
##     0.32, 0.56, 0.56, -0.06, 0.1, -0.11, -0.16, 0.11, 0.26, 0.39, 
##     0.53, 0.45, 0.37, 0.4, 0.47, 0.55, 0.83, 1.04, 0.64, 0.48, 
##     0.4, -0.87, -0.67, -0.66, -0.51, -0.59, -0.51, -0.05, -0.1, 
##     -0.19, 0.64, -0.06, -0.18, -0.27, -0.24, 0.22, 0.37, 0.55, 
##     -0.16, -0.19, -0.4, -0.51, -0.48, 0.05, 0.16, 0.21, 0.21, 
##     0.05, -0.19, -0.02, 0.14, 0.45, 0.53, 0.35, 0.06, -0.05, 
##     -0.14, -0.16, 0.26, -0.02, -0.1, -0.24, -0.55, -0.75, -0.77, 
##     -0.58, 0.14, 0.45, 0.51, 0.42, 0.27, 0.03, -0.1, -0.21, -0.34, 
##     -0.56, -0.87, -0.95, -0.92, -0.56, -0.24, -0.21, -0.19, 0.37, 
##     -0.18, -0.72, -0.85, -0.92, -0.83, -0.59, -0.5, -0.48, -0.45, 
##     -0.53, -0.61, -0.67, -0.67, -0.63, -0.47, -0.22, -0.1, -0.1, 
##     0.05, 0.21, 0.37, -0.24, -0.37, -0.39, -0.32, -0.32, -0.26, 
##     -0.56, -0.5, -0.42, -0.29, -0.18, -0.1, -0.06, 0.08, 0.08, 
##     0.1, 0.16, 0.39, 0.18, 0, 0, -0.08, 0.02, -0.1, -0.13, -0.13, 
##     -0.02, -0.03, 0.06, 0.13, -0.22, -0.51, -0.75, -0.69, -0.61, 
##     -0.5, -0.48, -0.56, -0.61, -0.47, -0.42, -0.05, -0.08, -0.26, 
##     -0.45, -0.67, -0.61, -0.29, -0.39, -0.37, -0.37, -0.47, -0.53, 
##     -0.63, -0.67, -0.72, -0.71, -0.47, -0.47, -0.37, -0.35, -0.26, 
##     -0.35, -0.56, -0.53, -0.5, -0.29, -0.13, -0.16, 0.51, 0.55, 
##     0.02, -0.24, 0.03, 0.05, 0.06, 0.13, 0.18, 0.08, -0.19, -0.32, 
##     -0.32, -0.29, -0.16, 0.06, 0.34, 0.61, 0.59, 0.48, 0.11, 
##     -0.43, -0.61, -0.66, -0.24, 0.27, 0.19, 0.05, 0.21, 0.21, 
##     0.14, 0.18, 0.32, 0.51, 0.35, -0.4, -0.27, -0.14, -0.1, -0.03, 
##     -0.11, -0.27, -0.37, -0.1, 0.19, 0.26, 0.05, -0.08, -0.27, 
##     -0.43, -0.51, -0.29, 0.08, 0.14, -0.03, -0.31, -0.26, -0.13, 
##     0.02, 0.1, 0.14, -0.03, -0.26, 0.03, 0.18, 0.31, 0.19, 0.05, 
##     -0.08, -0.13, -0.16, -0.18, -0.18, -0.1, -0.06, -0.06, -0.16, 
##     -0.08, -0.03, -0.67, -0.39, -0.05, 0.21, 0.34, 0.31, 0.29, 
##     0.39, 0.18, 0.24, 0.37, 0.42, 0.37, 0.26, 0.22, 0.27, 0.31, 
##     0.37, 0.32, 0.19, 0.16, 0.21, 0.27, 0.32, 0.61, 0.79, 0.42, 
##     0.48, 0.69, 0.8, 0.74, 0.74, 1, 1.16, 1.75, 1.81, 1.19, 0.69, 
##     -0.03, -1.3, -1.28, -1.35, -1.35, -0.92, -0.67, -0.14, 0.18, 
##     -0.69, -0.88, -1.08, -1.19, -1.12, -0.95, -0.61, -0.31, -0.06, 
##     -0.03, 0.43, 0.35, 0.5, 0.53, 0.55, 0.67, 0.77, 0.83, 0.95, 
##     1.11, 0.92, 0.77, 0.64, 0.67, 0.85, 1.41, 0.82, 0.69, 0.79, 
##     0.85, 1, 1.11, 0.92, 0.8, 0.67, 0.82, 1.17, 1.22, -0.37, 
##     -1.4, -1.28, -1.14, -1.03, -0.98, -0.9, -0.92, -0.63, -0.34, 
##     -0.5, -0.27, -0.32, -0.61, -0.79, -0.69, -0.66, -0.69, -0.82, 
##     -0.74, -0.39, -0.5, -0.08, 0.24, 0.4, 0.42, 0.4, 0.4, 0.35, 
##     0.31, 0.27, 0.18, 0.14, 0.24, 0.26, 0.19, 0.34, 0.32, 0.34, 
##     0.39, 0.42, 0.55, 0.64, 0.61, 0.35, 0.27, 0.35, 0.72, 0.5, 
##     0.02, 0.18, 0.37, 0.43, 0.29, 0.06, 0.02, -0.14, -0.14, 0.03, 
##     0.03, 0.03, 0.08, 0.13, 0.14, 0.11, -0.03, -0.06, -0.11, 
##     -0.14, 0.35, 0.14, -0.39, -0.56, 0.4, 0.4, 0.37, 0.39, 0.45, 
##     0.22, 0.22, 0.16, 0.16, 0.61, 0.56, 0.45, -0.11, -0.05, -0.02, 
##     0.35, 0.37, 0.34, -0.1, -0.21, -0.1, -0.18, -0.29, 0.13, 
##     0.21, 0.11, 0.18, 0.03, -0.1, -0.21, -0.32, -0.43, 0.02, 
##     0.02, -0.03, 0, -0.02, 0.02, 0.13, 0.24, 0.34, 0.35, 0.34, 
##     0.22, 0.18, 0.1, 0.29, 0.53, 0.45, 0.31, 0.14, 0.02, -0.13, 
##     -0.08, 0.26, 0.35, 0.56, 0.53, 0.51, 0.34, 0.24, 0.02, 0.18, 
##     0.66, 0.4, 0.21, -0.03, -0.22, -0.26, 0.05, 0.22, 0.43, 0.51, 
##     0.58, 0.22, 0.24, 0.19, 0.16, 0.14, 0.05, 0.19, 0.18, 0.29, 
##     0.03, -0.56, -0.43, -0.39, -0.27, 0.14, 0.11, 0.05, 0.14, 
##     0.16, 0.22, 0.29, 0.32, 0.45, 0.59, 0.66, 0.66, 0.55, 0.42, 
##     0.31, 0.26, 0.19, 0.37, 0.4, 0.48, 0.55, 0.5, -0.02, 0.18, 
##     0.1, 0.06, 0.08, 0.08, -0.02, -0.13, -0.39, -0.21, -0.26, 
##     -0.29, -0.18, -0.48, -0.42, -0.27, 0, -0.16, -0.19, -0.27, 
##     -0.19, 0.02, 0.35, 0.08, -0.08, -0.02, 0.19, 0.5, 0.47, 0.42, 
##     0.37, 0.29, 0.31, 0.43, 0.64, 0.5, 0.43, 0.35, 0.35, 0.34, 
##     0.5, 0.35, 0.08, -0.11, 0.08, 0.21, 0.13, -0.13, 0.06, 0.16, 
##     0.08, 0, -0.11, -0.06, 0.13, 0.21, 0.02, -0.13, -0.08, -0.1, 
##     -0.14, -0.13, 0.27, 0.24, 0.13, 0, 0.03, 0.16, 0.22, 0.34, 
##     0.27, 0.32, 0.39, 0.66, 0.74, 0.42, 0.35, 0.26, 0.16, 0.26, 
##     0.37, 0.48, 0.19, 0.05, 0.02, -0.02, -0.05, -0.03, 0, -0.03, 
##     -0.45, -0.26, 0.13, 0.1, -0.18, -0.35, -0.37, -0.61, -0.06, 
##     0.14, 0.08, 0.06, 0.05, 0, -0.06, -0.13, -0.13, -0.02, 0.02, 
##     -0.05, -0.11, -0.08, 0, 0.06, -0.32, -0.34, -0.35, -0.5, 
##     -0.58, -0.77, -0.9, -0.95, -0.8, -0.14, -0.22, -0.37, -0.34, 
##     -0.16, -0.1, 0.19, 0.26, 0.11, -0.03, -0.03, 0.06, 0.08, 
##     -0.19, -0.24, -0.32, -0.53, -0.87, -0.75, -0.67, -0.53, -0.34, 
##     -0.1, 0.02, 0.27, 0.16, 0, -0.06, -0.05, -0.05, -0.1, -0.05, 
##     -0.05, -0.1, -0.16, -0.24, -0.32, -0.48, -0.53, -0.56, -0.11, 
##     0.08, 0.37, 0.14, -0.06, -0.27, -0.35, -0.34, -0.26, -0.32, 
##     -0.39, -0.92, -0.98, -0.98, -0.98, -0.96, -0.96, -0.92, -0.82, 
##     -0.79, -0.55, 0.03, 0.05, -0.02, -0.1, 0.26, 0.4, 0.45, 0.4, 
##     0.22, 0.08, 0.11, 0.06, -0.02, 0, -0.05, -0.14, -0.24, -0.24, 
##     -0.32, -0.66, -0.69, -0.61, -0.4, -0.02, 0, 0.03, 0.05, 0.05, 
##     0.24, 0.35, 0.35, 0.34, -0.1, -0.27, -0.45, -0.56, -0.72, 
##     -0.69, -0.55, -0.47, -0.22, -0.13, 0, -0.19, -0.24, -0.27, 
##     -0.26, -0.24, -0.31, -0.29, -0.16, -0.37, -0.1, 0.06, 0.03, 
##     -0.02, -0.05, -0.27, -0.42, -0.47, -0.47, -0.35, -0.35, -0.11, 
##     -0.1, -0.03, -0.03, -0.13, -0.13, -0.19, -0.26, -0.21, -0.13, 
##     -0.21, -0.21, -0.02, -0.32, -0.61, -0.5, -0.45, -0.43, -0.27, 
##     -0.1, -0.08, -0.11, -0.31, -0.34, -0.18, 0.19, 0.31, 0.43, 
##     0.37, 0.27, 0.14, -0.16, -0.47, -0.5, -0.51, -0.59, -0.56, 
##     -0.42, -0.34, -0.27, 0.08, 0.11, 0, -0.03, -0.02, -0.08, 
##     -0.32, -0.34, -0.27, -0.19, 0.02, -0.05, -0.31, -0.34, -0.29, 
##     0, 0.05, 0.13, -0.22, 0.11, 0.26, 0.18, 0.11, -0.03, 0.1, 
##     0.48, 0.64, 0.8, 0.74, -0.08, -0.29, -0.55, -0.59, -0.63, 
##     -0.63, -0.61, -0.56, -0.53, -0.29, -0.03, -0.02, -0.37, -0.35, 
##     -0.26, -0.19, -0.21, -0.27, -0.9, -0.75, -0.43, -0.27, 0.08, 
##     0.05, 0, -0.24, -0.37, -0.24, -0.18, -0.05, 0.19, 0.11, 0.02, 
##     -0.16, -0.22, -0.29, -0.27, -0.32, -0.32, -0.27, -0.22, -0.14, 
##     -0.13, -0.14, -0.21, -0.26, -0.37, -0.42, -0.29, -0.29, -0.22, 
##     -0.11, -0.06, 0.13, 0.22, 0.14, 0, -0.14, -0.69, -0.9, -0.39, 
##     0, 0.11, 0.11, 0.06, -0.51, -0.55, -0.51, -0.63, -0.71, -0.34, 
##     -0.08, 0.22, 0.05, 0.16, -0.32, -0.22, -0.19, -0.24, -0.26, 
##     -0.26, -0.26, -0.21, -0.22, -0.27, -0.34, -0.29, -0.22, -0.14, 
##     -0.19, -0.26, -0.27, -0.32, -0.11, 0.24, 0.51, 0.45, 0.29, 
##     -0.06, -0.77, -0.79, -0.61, -0.51, -0.4, -0.26, -0.03, -0.02, 
##     0, 0, -0.03, -0.13, -0.27, -0.32, -0.34, -0.34, -0.22, -0.14, 
##     -0.19, 0.14, 0.22, 0.14, -0.26, -0.14, 0.05, 0.08, 0.27, 
##     0.1, -0.05, -0.4, -0.56, -0.66, -0.29, 0.02, -0.14, -0.24, 
##     -0.26, -0.18, -0.24, -0.31, -0.35, -0.61, -0.71, -0.79, -0.82, 
##     -0.79, -0.51, -0.14, -0.05, 0, 0.06, 0.08, 0.02, -0.08, -0.18, 
##     -0.26, -0.31, -0.39, -0.47, -0.27, -0.24, -0.22, -0.24, -0.18, 
##     -0.16, -0.02, 0.03, -0.02, -0.35, -0.51, -0.5, -0.47, -0.37, 
##     -0.24, 0, -0.43, -0.64, -0.74, -0.51, -0.26, -0.14, -0.08, 
##     -0.05, 0, -0.14, -0.18, -0.37, -0.37, -0.13, -0.29, -0.21, 
##     -0.19, -0.08, 0.02, 0.06, 0.11, 0.18, 0.31, 0.29, 0.13, -0.14, 
##     -0.19, -0.26, -0.34, -0.4, -0.48, -0.55, -0.61, -0.61, -0.18, 
##     -0.05, -0.24, -0.32, -0.48, -0.48, -0.21, -0.21, -0.18, -0.18, 
##     -0.14, -0.13, -0.21, -0.14, -0.14, -0.06, 0.02, -0.05, -0.14, 
##     -0.11, -0.37, -0.4, -0.27, -0.05, 0.18, 0.37, 0.18, 0.02, 
##     -0.18, -0.27, -0.14, -0.11, -0.06, -0.19, -0.16, -0.14, -0.16, 
##     -0.11, -0.08, -0.06, 0.02, -0.03, -0.16, -0.13, -0.18, -0.16, 
##     -0.18, -0.14, 0.02, 0.1, 0.08, 0.05, -0.02, -0.1, -0.16, 
##     -0.19, -0.21, -0.26, -0.34, -0.39, -0.39, -0.22, 0.34, 0.51, 
##     0.4, 0.27, 0.16, -0.22, -0.26, -0.21, -0.14, -0.03, -0.1, 
##     -0.16, -0.19, -0.24, -0.22, -0.18, -0.16, -0.1, -0.08, -0.03, 
##     0, -0.05, 0.03, -0.06, -0.14, 0.11, 0.22, 0.16, 0.18, 0.19, 
##     0.18, 0.06, -0.14, -0.14, -0.08, 0.06, 0.06, 0.11, 0.16, 
##     0.06, 0.03, 0.03, 0.05, 0.06, 0.08, 0.14, 0.22, 0.26, 0.31, 
##     0.37, 0.32, 0.1, 0.02, 0.1, 0.13, 0.18, 0.16, 0.1, 0.14, 
##     -0.02, 0, 0.02, 0.03, 0.08, 0.11, 0.13, 0.13, 0.16, 0.16, 
##     0.13, 0.11, 0.14, 0.16, 0.18, 0.11, 0.21, 0.29, 0.35, 0.34, 
##     0.24, -0.03, -0.08, -0.03, 0.05, 0.18, 0.27, 0.37, 0.31, 
##     0.21, 0.18, 0.05, -0.21, -0.31, -0.34, -0.31, 0.13, 0.14, 
##     0.02, -0.11, -0.43, -0.53, -0.42, -0.31, -0.34, -0.34, -0.21, 
##     -0.59, -0.35, -0.06, 0.34, 0.27, 0.19, 0.13, 0.08, -0.05, 
##     -0.16, -0.11, -0.06, 0, 0.06, 0.1, 0.06, 0.03, 0.08, 0.18, 
##     -0.29, -0.22, -0.03, -0.02, -0.06, -0.08, 0.32, -0.39, -0.59, 
##     -0.63, -0.47, -0.19, 0.32, 0.24, -0.42, -0.29, -0.18, -0.26, 
##     -0.21, -0.24, -0.19, -0.27, -0.35, -0.64, -0.29, -0.13, -0.16, 
##     -0.13, -0.05, 0.18, 0.06, -0.19, -0.13, 0.11, 0.06, -0.03, 
##     -0.05, 0.02, 0.48, -0.27, -0.26, 0.05, 0.53, 0.42, 0.03, 
##     -0.22, -0.19, -0.14, 0.02, -0.26, -0.31, -0.14, -0.16, -0.61, 
##     -0.56, -0.42, -0.39, -0.35, -0.21, -0.13, -0.03, 0.32, 0.31, 
##     0.27, 0.26, 0, -0.06, -0.08, -0.08, -0.1, -0.16, -0.24, -0.22, 
##     -0.02, 0.06, 0.14, 0.18, 0.11, 0.05, 0.34, 0.51, 0.43, -0.43, 
##     0.42, 0.24, 0.13, -0.06, 0.18, -0.02, 0.03, 0, -0.13, 0.16, 
##     0.1, 0.16, 0.1, -0.16, -0.19, -0.08, 0.02, 0.1, 0.11, -0.18, 
##     -0.14, -0.06, -0.02, -0.08, -0.11, -0.1, 0.11, 0.13, 0.1, 
##     0, -0.32, -0.27, -0.05, 0, -0.1, -0.05, 0, 0.13, 0.18, 0.19, 
##     0.13, 0.06, -0.1, -0.1, -0.05, 0.14, 0.51, 0.31, 0.32, 0.42, 
##     0.45, 0.39, 0.35, 0.11, -0.14, 0.08, 0.24, 0.26, 0.19, 0.22, 
##     0.31, 0.18, -0.14, -0.5, -0.39, -0.14, 0.11, 0.37, 0.19, 
##     0.18, 0.18, 0.22, 0.26, 0.16, -0.1, -0.21, -0.29, -0.31, 
##     -0.22, -0.14, -0.11, -0.05, 0.14, 0.16, -0.5, -0.16, -0.13, 
##     -0.16, -0.16, -0.16, -0.16, -0.11, -0.03, 0.06, 0.11, 0.26, 
##     0, 0.05, 0.1, 0.03, -0.08, -0.42, -0.58, -0.55, -0.1, 0.03, 
##     0.03, 0.24, 0.26, 0.21, 0.03, -0.08, 0.03, 0.16, 0.4, 0.31, 
##     -0.14, -0.31, -0.27, -0.19, 0.13, 0.26, 0.05, -0.03, -0.16, 
##     -0.45, -0.4, -0.27, -0.21, -0.13, -0.03, -0.03, -0.06, -0.1, 
##     -0.1, -0.06, -0.13, -0.32, -0.4, -0.4, -0.32, -0.05, -0.02, 
##     -0.02, -0.08, -0.47, -0.42, -0.22, -0.03, -0.19, -0.16, -0.1, 
##     0.1, 0, -0.22, -0.08, -0.08, -0.06, 0, 0.08, 0.29, 0.27, 
##     0.19, 0.18, 0.18, 0.13, 0.06, 0.06, -0.05, 0, -0.11, -0.14, 
##     -0.06, -0.48, -0.31, -0.63, -0.59, 0, -0.02, -0.02, 0.03, 
##     0.03, 0.02, 0.03, 0, -0.02, 0.02, 0, 0, 0.4, 0.47, 0.55, 
##     0.69, 0.72, 0.85, 0.88, 0.67, 0.63, 0.58, 0.55, 0.58, 0.64, 
##     0.75, 0.75, 0.66, 0.64, 0.55, 0.03, -0.18, -0.26, -0.14, 
##     0.05, -0.26, -0.31, -0.53, -0.51, -0.39, -0.5, -0.5, -0.63, 
##     -0.69, -0.64, -0.55, -0.32, -0.5, -0.51, -0.59, -0.55, -0.13, 
##     0.05, 0.03, -0.06, -0.16, -0.13, 0.19, 0.13, 0.14, 0.14, 
##     0.16, 0.14, 0.13, 0.1, 0.11, 0.29, 0.47, 0.58, 0.67, 0.82, 
##     1, 1, 0.88, 0.67, 0.42, 0.21, 0.14, 0.03, 0.08, -0.05, 0, 
##     -0.08, -0.16, -0.31, -0.37, -0.34, -0.58, -0.56, -0.72, -0.74, 
##     -0.48, -0.45, -0.51, -0.55, -0.16, -0.03, 0.05, 0.21, 0.08, 
##     0.08, 0.43, 0.42, 0.48, 0.95, 0.93, 0.79, 0.87, 0.63, 0.51, 
##     0.42, 0.39, -0.05, 0.03, 0.08, 0.11, -0.06, -0.24, -0.19, 
##     -0.14, -0.16, 0.19, 0.26, -0.08, -0.48, 0.45, 0.26, -0.16, 
##     -0.06, -0.16, -0.03, -0.06, -0.14, -0.22, -0.21, -0.24, -0.48, 
##     -0.42, -0.61, -0.72, -0.59, -0.61, -0.55, -0.51, -0.64, -1.2, 
##     -0.4, 0.05, 0.27, 0.14, 0.19, 0.14, 0.19, 0.4, 0.64, 0.66, 
##     0.74, 0.92, 1.08, 1.43, 1.49, 1.36, 0.92, 0.53, 0.47, 0.11, 
##     0, 0.03, 0.02, -0.08, 0.16, 0.03, 0.1, -0.59, -0.56, -0.56, 
##     -0.75, -0.69, -0.59, -0.69, -0.63, -1.16, -0.71, -0.61, 0.11, 
##     0.08, 0.06, 0.24, 0.21, 0.19, 0.16, 0.21, 0.32, 1, 0.93, 
##     0.82, 0.74, 0.72, 0.72, 0.71, 0.72, 0.64, 0.1, -0.14, -0.29, 
##     -0.29, -0.22, -0.16, -0.03, 0.06, -0.43, -0.45, -1.3, -1.16, 
##     -1.03, -1.06, -0.8, -0.67, -0.72, -0.92, -0.64, -0.45, -0.29, 
##     -0.18, -0.14, 0.31, 0.27, 0.37, 0.53, 0.4, 0.53, 1.14, 1.32, 
##     0.45, 0.39, 0.21, 0.08, 0, 0, -0.05, -0.13, -0.11, 0.02, 
##     -0.14, -0.13, -0.21, -0.26, -0.64, -0.77, -0.85, -1.08, -1.14, 
##     -0.79, -0.69, -0.72, -1.06, -1.16, -0.88, 0.08, 0.18, 0.31, 
##     0.24, 0.42, 0.74, 0.96, 1.4, 1.49, 1.24, 0.61, -0.08, 0, 
##     -0.21, -0.19, -0.31, -1, -0.88, -0.75, -0.85, -0.51, -0.31, 
##     -0.67, -1.06, -0.87, -0.69, 0.08, 0.14, 0.32, 0.37, 0.4, 
##     0.45, 0.9, 1.08, 1.17, 1.2, 0.98, 0.83, 0.72, 0.77, -0.29, 
##     -0.24, -0.27, -0.16, 0, -0.02, -0.27, -0.45, -0.48, -0.47, 
##     -0.66, -0.71, -0.56, -0.69, -0.42, -0.27, -0.32, -1.03, -1.2, 
##     -1.09, -1.14, -0.24, 0.06, 0.31, 0.27, 0.48, 0.74, 0.8, 0.88, 
##     1, 1.06, 1.11, 1.04, 0.69, 0.72, 0.64, 0.56, 0.32, -0.45, 
##     -0.21, 0, 0.21, 0.16, 0.06, -0.4, -0.27, -0.31, -0.18, -0.31, 
##     -0.71, -0.59, -0.74, -0.59, -0.43, -0.43, -0.66, -0.66, -1.06, 
##     -0.95, 0.08, 0.08, 0.21, 0.26, 0.27, 0.31, 0.24, 0.18, 0.11, 
##     0.13, 0.13, 0.05, 0.06, 0.08, 0.08, 0, -0.1, -0.13, -0.08, 
##     -0.18, -0.14, 0, -0.03, 0, 0.19, 0.1, 0.08, 0.06, -0.08, 
##     -0.13, -0.03, 0, -0.05, -0.13, -0.05, 0.02, 0.05, 0.06, 0.05, 
##     0.03, 0, 0, 0.03, -0.06, 0.02, 0, 0.08, 0, -0.03, 0.02, 0.13, 
##     0.16, 0.45, 0.51, 0.66, 0.77, 0.92, 1, 1.11, 1.11, 1.11, 
##     1.11, 1.16, 1.16, 1.16, 1.22, 1.2, 1.06, 0.9, 0.88, 0.72, 
##     0.61, 0.66, 0.63, 0.29, -0.24, -0.29, -0.43, -0.32, -0.34, 
##     -1.14, -1.03, -1.75, -1.38, -1.57, -1.4, -1.12, -0.98, -1.69, 
##     -1.61, -1.54, -1.4, -0.56, -0.14, 0.16, 0.43, 0.53, 0.8, 
##     1.01, 1.2, 1.28, 1.22, 0.82, 0.96, 1.03, 1.16, 1.16, 0.93, 
##     0.72, 0.72, 0.83, 0.85, 0.08, -0.21, -0.37, -0.48, -0.74, 
##     -0.88, -1.11, -0.92, -0.87, -0.39, -0.93, -1, -1.14, -0.66, 
##     0, 0.24, 0.56, 0.63, 0.51, 0.47, 0.05, -0.1, -0.31, -0.29, 
##     -0.29, -0.27, -0.18, -0.18, -0.26, -0.22, -0.19, -0.03, 0.05, 
##     0.03, 0, -0.06, -0.03, -0.02, -0.02, -0.08, 0, 0.02, 0.02, 
##     0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.05, 
##     0, -0.08, -0.06, -0.05, -0.03, 0.13, 0.13, 0.18, 0.21, 0.24, 
##     0.31, 0.37, 0.43, 0.45, 0.53, 0.63, 0.67, 0.71, 0.66, 0.63, 
##     0.69, 0.72, 0.74, 0.82, 0.71, 0.63, 0.63, 0.29, 0.26, 0, 
##     -0.21, -0.27, -0.35, -0.47, -0.31, 0.19, 0.55, -0.34, -0.11, 
##     0.22, 0.27, 0.16, -0.16, -0.16, -0.1, -0.05, 0.19, -0.19, 
##     -0.05, 0.06, 0.1, 0.1, 0.06, 0.02, -0.06, -0.14, -0.14, -0.14, 
##     -0.05, -0.03, 0.02, 0, 0.02, -0.05, -0.02, 0, 0, -0.05, 0, 
##     0.05, 1.06, 1.09, 1.36, 1.41, 1.48, 1.49, 1.56, 1.86, 1.85, 
##     1.73, 1.49, 1.43, 1.45, 1.56, 1.61, 1.4, 1.38, 1.2, 1.24, 
##     1.3, 1.33, 1.17, 1.22, 1.19, 1.24, 1.22, 1.3, 1.28, 1.3, 
##     1.27, 1.14, 1.64, 1.65, 1.62, 1.61, 1.38, 1.27, 1.45, 1.69, 
##     1.88, 1.91, 1.65, 1.64, 1.64, 1.59, 1.54, 1.36, 1.36, 1.33, 
##     1.33, 1.32, 1.33, 1.32, 0.24, 0, -0.24, 0.13, 0.24, 0.55, 
##     1.04, 0.98, 0.58, 0.45, 0.29, 0.4, 0.67, 1, 0.95, 0.88, 0.77, 
##     0.67, 0.66, 0.64, 0.67, 0.77, 0.93, 0.95, 0.9, 0.8, 0.75, 
##     0.75, 0.9, 0.92, 0.9, 0.88, 0.85, 0.85, 0.9, 1.03, 1.32, 
##     1.4, 1.43, 1.43, 1.41, 1.45, 1.43, 1.62, 1.61, 1.64, 1.7, 
##     1.7, 1.7, 1.65, 1.62, 1.78, 1.8, 1.22, 1.49, 1.53, 1.54, 
##     1.48, 1.4, 1.32, 1.33, 1.32, 1.32, 1.25, 1.24, 1.22, 1.2, 
##     1.09, 1, 0.96, 0.96, 0.88, 0.71, 0.08, -0.05, -0.16, -0.19, 
##     -0.26, -0.35, -0.66, -0.56, -0.59, -0.47, -0.4, -0.4, -0.55, 
##     -0.53, -0.42, -0.4, -0.13, -0.24, -0.27, -0.31, 1.19, 1.17, 
##     1.11, 1.03, 0.88, 0.82, 0.83, 0.88, 0.95, 1.03, 1.11, 1.08, 
##     1.2, 1.57, 1.57, 1.33, 1.12, 0.74, 0.8, 0.92, 1.03, 1.06, 
##     1.04, 0.8, 0.85, 0.82, 0.79, 0.8, 0.83, 0.96, 1.03, 1.11, 
##     1.12, 1.14, 1.17, 1.24, 1.3, 1.3, 1.25, 1.03, 1.01, 0.95, 
##     0.9, 0.87, 0.88, 0.9, 0.9, 0.88, 0.88, 0.93, 0.96, 0.95, 
##     0.93, 0.93, 0.93, 0.96, 1, 1.04, 1.09, 1.17, 1.25, 1.38, 
##     1.51, 1.56, 1.53, 1.49, 1.45, 1.43, 1.32, 1.08, 1.08, 1.08, 
##     1.09, 1.14, 1.19, 1.17, 1.36, 1.45, 1.43, 1.24, 1.12, 1.03, 
##     0.92, 0.8, 0.85, 1.08, 1.03, 0.92, 0.8, 0.8, 0.83, 1.03, 
##     1.06, 1.04, 1.01, 0.95, 1.01, 1.03, 1.01, 0.98, 1.04, 1.04, 
##     0.98, 1.01, 0.98, 1.04, 1.11, 0.98, 1.38, 1.16, 1.03, 1.03, 
##     0.87, 0.79, 0.79, 0.83, 0.87, 0.85, 0.77, 0.92, 1.09, 1.32, 
##     1.35, 1.35, 1.4, 1.49, 1.56, 1.56, 1.49, 1.33, 1.22, 1.2, 
##     1.3, 1.38, 1.32, 1.19, 1.2, 1.22, 1.11, 1.17, 1.2, 1.16, 
##     1.12, 1.08, 0.98, 1.01, 1.03, 1.03, 1.06, 1, 1.08, 1.03, 
##     1.03, 1.03, 1.16, 1.12, 1.12, 1.06, 1, 1, 0.98, 1.14, 1.11, 
##     1.01, 1.04, 0.98, 0.93, 0.95, 0.87, 0.93, 0.87, 0.61, 0.42, 
##     0.43, 0.45, 0.55, 0.64, 0.82, 0.69, 0.63, 0.56, 0.35, 0.39, 
##     0.42, 0.45, 0.53, 0.77, 1.08, 1.08, 0.66, 0.63, 0.83, 0.82, 
##     0.82, 0.79, 0.61, 0.87, 1.12, 1.22, 1.11, 1.12, 1.2, 1.25, 
##     1.48, 1.48, 1.46, 1.36, 1.33, 1.33, 1.33, 1.41, 1.46, 1.48, 
##     1.45, 1.27, 1.27, 1.2, 1.28, 1.25, 1.09, 1.08, 1.08, 1.08, 
##     1.16, 1.19, 1.19, 1.16, 1.09, 1.01, 1.03, 1, 1.04, 1.03, 
##     1.11, 1.04, 1.09, 1.12, 1.06, 0.82, 0.77, 1, 0.9, 0.71, 0.63, 
##     0.5, 0.47, 0.5, 0.51, 0.58, 0.63, 0.85, 0.64, 0.72, 0.53, 
##     0.63, 0.82, 1.06, 1.06, 0.82, 0.74, 0.72, 0.74, 0.75, 0.75, 
##     0.74, 0.82, 0.95, 1, 0.98, 1.08, 1.43, 1.43, 1.48, 1.49, 
##     1.45, 1.43, 1.33, 1.3, 1.28, 1.24, 1.17, 1.11, 1.14, 1.08, 
##     1.06, 0.96, 0.75, 0.66, 0.59, 0.75, 0.82, 0.82, 0.82, 0.82, 
##     0.79, 0.69, 0.69, 0.74, 0.79, 0.87, 1.01, 0.98, 0.98, 0.95, 
##     0.93, 0.79, 0.83, 0.87, 0.92, 0.95, 0.98, 0.98, 1.11, 1.24, 
##     1.27, 1.27, 1.27, 1.25, 1.25, 1.25, 1.14, 1.09, 1.25, 1.25, 
##     1.22, 1.16, 1.08, 1, 1.09, 1.11, 1.2, 1.11, 1.04, 1, 1.01, 
##     1.03, 0.98, 1.01, 1.01, 0.92, 0.88, 1.01, 1, 1.03, 1.03, 
##     1.09, 1.19, 0.96, 1, 0.93, 0.75, 0.83, 0.9, 0.88, 0.85, 0.82, 
##     0.79, 0.75, 0.74, 0.83, 0.83, 0.79, 0.8, 0.87, 0.82, 0.79, 
##     1.01, 1.03, 0.82, 0.77, 0.77, 0.85, 0.85, 0.87, 0.96, 0.98, 
##     1, 1, 1.03, 1.17, 1.35, 1.43, 1.38, 1.35, 1.27, 1.3, 1.28, 
##     1.22, 1.22, 1.14, 1.25, 1.09, 1, 0.96, 0.96, 0.95, 0.9, 1, 
##     1.01, 0.95, 0.96, 1, 0.93, 0.93, 1.01, 1.06, 1.08, 0.96, 
##     1.01, 1.08, 0.95, 0.88, 1, 0.95, 0.87, 0.71, 0.77, 0.92, 
##     0.83, 0.77, 0.51, 0.64, 0.79, 0.77, 0.74, 0.55, 0.48, 0.39, 
##     0.43, 0.63, 0.83, 0.9, 1.04, 1.08, 1.14, 1.16, 1.09, 1.16, 
##     1.24, 1.25, 1.36, 1.4, 1.56, 1.57, 1.49, 1.45, 1.4, 1.32, 
##     1.09, 1.2, 1.2, 1.12, 1.2, 1.24, 1.04, 1.01, 0.98, 0.98, 
##     0.95, 0.93, 0.95, 0.92, 0.92, 0.96, 0.96, 0.92, 1.06, 1.14, 
##     1.11, 1, 0.96, 0.96, 0.93, 0.96, 1.04, 1.04, 1.06, 0.92, 
##     0.96, 0.96, 0.96, 0.98, 0.96, 1.01, 1.04, 1, 1.01, 0.96, 
##     0.87, 0.77, 0.75, 0.74, 0.74, 0.82, 0.69, 0.53, 0.55, 0.9, 
##     0.77, 0.77, 0.67, 0.66, 0.98, 0.92, 0.95, 0.85, 0.79, 0.77, 
##     0.77, 0.77, 0.9, 0.42, 1.22, 1.43, 1.59, 1.56, 1.4, 1.14, 
##     0.96, 0.79, 0.69, 0.9, 0.98, 1.03, 1.19, 1.24, 1.25, 1.27, 
##     1.28, 1.28, 1.27, 1.25, 1.24, 1.25, 1.25, 1.2, 1.19, 1.24, 
##     1.2, 1.2, 1.27, 1.28, 1.3, 1.28, 1.3, 1.3, 1.27, 1.22, 1, 
##     0.96, 1, 0.96, 1.03, 1.01, 0.96, 0.95, 0.93, 0.88, 0.8, 0.75, 
##     0.66, 0.43, 0.19, 0.66, 0.55, 0.48, 0.47, 0.35, 0.11, -0.19, 
##     0.05, 0.16, 0.74, 0.63, 0.67, 0.64, 0.8, 0.8, 1.04, 0.88, 
##     0.87, 0.87, 0.77, 1.27, 1.33, 1.04, 0.96, 0.92, 0.83, 0.85, 
##     0.88, 0.88, 0.87, 0.79, 0.59, 0.08, 0, -0.06, -0.02, 0.08, 
##     0.19, 0.26, 0.42, 0.69, -1.11, -0.71, -0.63, -0.4, -0.64, 
##     -0.45, -0.59, -0.42, -0.22, -0.34, -0.4, -0.35, -0.92, -0.8, 
##     -0.71, -0.74, -0.67, -0.53, 0.95, 0.83, 0.8, 0.83, 0.82, 
##     0.66, 0.63, 0.53, 0.5, 0.48, 0.48, 0.53, 0.58, 0.1, -0.08, 
##     -0.21, -0.4, -0.43, -0.35, -0.26, -0.16, -0.05, -0.19, -0.5, 
##     -0.72, -0.72, -0.56, -0.47, -0.47, -0.51, -0.45, -0.47, -0.27, 
##     -0.39, -0.32, -0.63, -0.39, -0.16, 0, -0.08, -0.45, -0.61, 
##     -0.64, -0.69, -0.82, -0.77, -0.75, -0.59, -0.45, -0.06, 0.67, 
##     0.61, 0.43, 0.39, 0.4, 0.37, 0.29, 0.14, 0, -0.11, -0.11, 
##     -0.13, -0.1, 0.08, 0.1, 0.27, 0.34, 0.4, 0.55, 0.72, 0.83, 
##     0.67, 0.45, 0.47, 0.96, 1.01, 0.98, 0.82, 0.75, 0.5, 0.4, 
##     0.32, 0.22, 0.19, 0.66, 0.69, 0.42, 0.59, 0.47, 0.1, -0.22, 
##     -0.31, -0.35, -0.39, -0.22, -0.27, -0.47, -0.5, -0.53, -0.58, 
##     -0.63, -0.67, -0.69, -0.64, -0.63, -0.69, -0.63, -0.56, -0.51, 
##     -0.4, -0.29, -0.22, -0.67, -0.8, -0.9, -0.88, -0.74, -0.47, 
##     -0.42, -0.59, -0.74, -0.93, -1.08, -1.08, -1.03, -0.98, -0.5, 
##     -0.34, -0.32, -0.42, -0.55, -0.58, -0.55, -0.63, -0.26, 0.06, 
##     0.22, 0.34, -0.21, -0.19, -0.11, -0.05, 0, 0.18, 0.26, 0.21, 
##     0.16, 0.1, 0.13, 0.29, 0.5, 0.64, 0.82, 0.93, 0.83, 0.79, 
##     0.71, 0.51, 0.29, 0.13, 0.39, 0.42, 0.35, 0.22, 0.26, 0.18, 
##     0.13, -0.19, -0.18, -0.11, -0.08, -0.31, -0.24, -0.26, -0.29, 
##     -0.35, -0.26, -0.05, 0.05, 0.14, 0.24, 0.26, 0.21, 0.26, 
##     0.31, 0.35, 0.61, 0.61, 0.56, 0.19, 0.13, 0.31, 1, 0.92, 
##     0.59, -0.34, -0.19, -0.22, -0.31, -0.35, -0.32, -0.31, -0.24, 
##     -0.22, -0.24, -0.35, -0.34, -0.37, -0.29, -0.21, -0.18, -0.21, 
##     -0.26, -0.34, -0.4, -0.55, -0.53, -0.39, -0.16, 0.08, 0.24, 
##     0.27, 0.31, 0.34, 0.29, 0.11, 0.18, 0.39, 0.53, 0.48, 0.4, 
##     0.34, 0.24, 0.18, 0.13, 0.16, 0.35, 0.43, 0.4, 0.26, 0.31, 
##     0.34, 0.26, 0.16, 0.1, -0.06, -0.31, 0, -0.02, -0.06, -0.08, 
##     -0.14, -0.22, -0.34, -0.39, -0.32, -0.31, -0.24, -0.24, -0.29, 
##     -0.4, -0.32, -0.16, -0.27, -0.27, -0.48, -0.51, -0.69, -0.74, 
##     -0.74, -0.5, -0.31, -0.19, -0.05, -0.05, -0.1, -0.18, -0.24, 
##     -0.22, -0.16, 0.16, 0.4, 0.43, 0.37, 0.34, 0.34, 0.45, 0.5, 
##     0.5, 0.5, 0.56, 0.63, 0.53, 0.45, 0.47, 0.45, 0.47, 0.55, 
##     0.66, 0.47, 0.34, 0.26, 0.19, 0.18, 0.18, 0.18, 0.02, -0.05, 
##     -0.03, -0.05, -0.08, -0.18, -0.24, -0.37, -0.48, -0.43, -0.51, 
##     -0.55, -0.43, -0.16, -0.31, -0.43, -0.24, -0.06, -0.03, 0, 
##     -0.22, -0.39, -0.29, -0.05, 0.08, 0.11, 0.16, 0.26, 0.37, 
##     0.39, 0.37, 0.39, 0.37, 0.35, 0.16, 0.03, -0.14, -0.4, -0.45, 
##     -0.47, 0.08, 0.02, -0.24, -0.43, -0.45, -0.48, -0.75, -0.45, 
##     -0.4, 0.29, 0.27, 0.34, 0.35, 0.32, 0.39, 0.43, 0.39, 0.37, 
##     0.35, 0.26, 0.03, 0, 0, 0, 0.08, 0.14, 0.1, 0.05, -0.05, 
##     -0.14, -0.14, -0.13, -0.16, -0.22, -0.27, -0.32, -0.43, -0.43, 
##     -0.39, -0.29, -0.24, -0.21, -0.19, -0.26, -0.13, -0.27, -0.34, 
##     -0.35, 0.05, -0.03, -0.37, -0.55, -0.45, -0.34, -0.35, -0.31, 
##     -0.27, -0.06, 0.06, 0.18, 0.26, 0.27, 0.26, 0.22, -0.03, 
##     -0.42, -0.35, -0.14, 0.1, 0, -0.08, -0.11, -0.43, -0.5, -0.56, 
##     -0.11, -0.16, 0.1, 0.13, 0.22, 0.27, 0.27, 0.13, 0.21, 0.21, 
##     0.11, -0.05, -0.03, 0.13, 0.43, 0.48, 0.64, 0.5, 0.43, 0.37, 
##     0.31, 0.27, 0.29, 0.32, 0.43, 0.39, 0.43, 0.5, 0.5, 0.48, 
##     0.4, 0.42, 0.24, -0.08, 0.72, 0.64, 0.53, 0.16, 0.13, 0.08, 
##     0, -0.22, -0.29, -0.24, -0.22, -0.39, -0.39, -0.42, -0.43, 
##     -0.39, -0.39, -0.24, -0.32, -0.37, -0.37, -0.34, -0.35, -0.35, 
##     -0.37, -0.34, -0.39, -0.39, -0.32, -0.32, -0.34, -0.31, -0.32, 
##     -0.37, -0.21, -0.34, -0.24, -0.29, -0.26, -0.27, -0.08, 0.08, 
##     0.18, 0.19, 0.29, 0.34, 0.26, 0.16, 0.14, -0.22, -0.29, -0.26, 
##     -0.11, 0.03, 0.9, 1.06, 1.41, 1.35, 0.98, 1.01, 0.92, 1.08, 
##     1.24, 1.17, 1.12, 1.09, -0.24, -0.06, 0.08, 0.08, 0.05, 0.02, 
##     0.02, -0.05, 0, 0.05, -0.06, 0, 0, -0.03, -0.06, -0.02, 0, 
##     0, -0.02, 0.11, 0.19, 0, 0.05, 0.03, 0.03, 0.06, -0.02, 0, 
##     0, 0, 0.05, 0.02, -0.02, 0, -0.02, 0.06, 0.02, 0.05, 0, 0.1, 
##     0.13, -0.14, -0.53, -0.66, -0.59, -0.64, -1.11, -0.53, -0.13, 
##     0.08, 0.14, 0.11, 0.14, 0.75, 1.19, 1.22, 1.49, 1.41, 0.85, 
##     0.79, 0.66, -0.29, -0.1, -0.26, -0.37, -0.42, -0.08, -0.1, 
##     -0.03, 0.06, 0.13, 0.13, 0.02, 0.02, -0.13, -0.24, -0.26, 
##     -0.32, -0.31, -0.13, -0.08, -0.11, -0.02, 0, -0.47, -0.51, 
##     -0.63, -0.67, -0.59, -0.47, 0.05, -0.21, -0.37, -0.5, -0.5, 
##     -0.4, -0.34, -0.37, -0.18, -0.19, -0.24, -0.35, -0.39, -0.18, 
##     -0.18, -0.03, 0.06, 0.11, 0.13, 0.11, -0.02, -0.19, -0.59, 
##     -0.79, -0.77, -0.67, -0.56, -0.24, -0.05, 0.06, 0.02, -0.13, 
##     -0.5, -0.5, -0.5, -0.34, -0.29, -0.11, -0.11, -0.19, -0.13, 
##     -0.1, -0.08, -0.05, 0.1, 0.06, 0.29, 0.24, -0.1, -0.11, -0.18, 
##     -0.19, -0.35, 0, 0, -0.32, -0.19, -0.14, 0.18, 0.21, 0.27, 
##     0.13, 0.08, 0.06, 0.06, -0.11, -0.05, 0.02, -0.02, -0.11, 
##     -0.34, -0.14, 0.21, 0.27, 0.31, 0.27, 0.26, 0.19, 0.16, 0.1, 
##     0.13, 0.31, 0.5, 0.63, 0.69, 0.74, 0.61, 0.22, 0.16, 0.16, 
##     0.32, 0.32, 0.32, 0.1, 0.03, 0.08, -0.69, -0.42, -0.08, 0, 
##     0, -0.18, -0.29, -0.35, -0.32, 0.13, 0.29, 0.42, 0.4, 0.4, 
##     0.37, 0.34, 0.24, 0.18, 0.24, 0.24, 0.31, 0.31, 0.22, -0.11, 
##     -0.03, 0.03, 0.08, -0.05, -0.06, -0.02, 0.08, 0.1, 0.08, 
##     0.08, 0.13, 0.11, 0.29, 0.29, 0.32, 0.31, 0.45, 0.32, 0.11, 
##     0.72, 0.93, 0.58, 0.56, 0.32, 0.19, 0.18, 0.29, 0.47, 0.5, 
##     0.51, 0.26, -0.21, -0.1, 0.22, 0.24, -0.1, -0.24, -0.22, 
##     -0.13, -0.14, -0.11, 0.13, -0.48, -0.42, -0.88, -0.77, -0.5, 
##     0.18, 0.42, 0.37, 0.19, 0.06, 0.06, -0.1, -0.11, 0.03, 0.06, 
##     0.1, 0.26, 0.05, 0, 0.14, 0.14, 0, -0.06, 0.06, 0.21, 0.34, 
##     0.39, 0.18, 0.06, 0.14, 0.06, -0.02, 0.08, 0.31, 0.32, 0.24, 
##     0.14, -0.06, -0.14, -0.19, -0.19, -0.1, -0.02, 0.13, 0.11, 
##     0.08, 0.08, 0.06, 0.05, 0.02, 0, 0.47, 0.43, 0.34, 0.39, 
##     0.51, 0.45, 0.4, 0.21, 0.14, 0.24, 0.43, 0.08, 0.02, 0.03, 
##     0.21, 0.39, 0.4, 0.27, 0.08, 0.19, 0.19, -0.02, 0, 0.26, 
##     0.48, 0.59, -0.58, -0.98, -1.46, -1.53, -1.45, -0.55, 0.71, 
##     0.27, -0.18, -1.03, -0.16, 0.16, 0.42, 0.61, 0.42, 0.27, 
##     0.16, 0.06, -0.06, -0.03, -0.19, -0.5, -0.37, -0.13, -0.11, 
##     0.14, 0.24, 0.21, 0.21, 0.21, 0.18, 0.13, -0.02, -0.11, -0.18, 
##     -0.13, -0.08, -0.03, -0.02, -0.03, -0.22, -0.26, -0.31, -0.39, 
##     -0.39, -0.18, 0.03, -0.05, -0.08, 0.05, 0.08, 0.1, 0.1, -0.1, 
##     -0.1, -0.22, -0.03, 0.06, 0.16, 0.4, -1.35, -0.56, -0.03, 
##     0.37, 0.5, 0.47, 0.1, -0.02, -0.22, -0.27, -0.19, -0.22, 
##     -0.14, -0.05, -0.34, -0.56, -0.35, -0.1, 0.32, 0.22, 0.1, 
##     0.02, 0.08, 0.1, 0.1, 0.21, 0.21, 0.26, 0.16, 0.05, -0.08, 
##     -0.06, 0.02, 0.27, 0.14, 0.14, 0, -0.22, -0.51, -0.42, -0.29, 
##     -0.14, 0.13, 0.26, 0.26, -0.43, -1.03, -1.01, -0.03, 0.39, 
##     0.72, 0.66, 0.55, 0.18, 0.08, 0.03, -0.06, -0.1, -0.11, -0.21, 
##     0.35, 0.5, 0.4, 0.31, 0.35, 0.55, 0.69, 0.98, 0.9, 0.75, 
##     0.63, 0.56, 0.53, 0.47, 0.43, 0.87, -0.08, -0.24, -0.31, 
##     0.32, -0.16, -0.34, -0.64, -0.85, -0.53, -0.39, -0.27, -0.27, 
##     -0.22, -0.05, 0.16, 0.26, 0.27, 0.05, -0.32, -0.32, -0.31, 
##     -0.26, 0.02, 0.11, 0.14, 0.16, 0.13, 0.1, 0.1, 0.1, 0.31, 
##     0.58, 0.59, 0.59, 0.58, 0.5, 0.51, 0.67, 0.75, 0.48, 0.39, 
##     0.35, 0.03, -0.16, -0.1, -0.29, -0.37, -0.43, -0.47, -0.11, 
##     0.21, 0.34, 0.35, 0.21, 0.13, 0.1, 0.1, 0.11, 0.03, 0.37, 
##     0.61, 0.71, 0.77, 0.63, 0.47, 0.43, 0.55, 0.43, 0.95, 0.43, 
##     0.37, 0.32, 0.31, 0.21, 0.08, 0.03, 0.08, 0.16, 0.14, 0.21, 
##     0.14, 0.11, 0.06, 0.06, 0.18, 0.32, 0.31, 0.21, 0.22, 0.13, 
##     0.05, -0.05, -0.22, -0.24, -0.34, -0.11, 0.34, -0.16, -0.75, 
##     -0.98, -0.92, -0.58, -0.51, -0.19, -0.06, 0.48, 0.42, 0.34, 
##     0.24, 0.14, 0.11, 0.35, 0.42, 0.34, 0.29, 0.27, 0.24, 0.14, 
##     -0.92, -0.34, -0.18, -0.13, 0.14, 0.24, 0.08, -0.11, 0.26, 
##     0.5, 0.64, 0.42, 0.31, 0.21, 0.14, 0.21, 0.26, 0.19, 0.21, 
##     0.19, 0.21, 0.29, 0.39, 0.34, 0.34, 0.32, 0.42, 0.5, 0.43, 
##     0.45, 0.47, 0.47, 0.27, 0.26, 0.14, 0.1, -0.13, -0.1, -0.32, 
##     -0.48, -0.48, -0.51, -0.55, -0.5, -0.05, 0.1, 0.29, 0.34, 
##     0.02, -0.05, 0.05, 0.24, 0.31, 0.29, 0.19, 0.24, 0.27, 0.26, 
##     0.18, 0.14, 0.1, 0.11, 0.1, 0.11, 0.22, 0.32, 0.53, 0.56, 
##     0.37, 0.34, 0.24, 0.21, 0.02, 0.02, 0.1, 0.13, 0.16, 0.18, 
##     0.19, 0.22, 0.22, 0.29, 0.31, 0.37, 0.32, 0.24, 0.08, 0.18, 
##     0.22, 0.24, 0.29, 0.35, 0.34, 0.11, 0.02, -0.11, -0.31, -0.45, 
##     -0.53, -0.64, -0.56, -0.16, 0.08, 0.21, 0.32, 0.24, -0.16, 
##     -0.32, -0.19, 0.03, 0.26, 0.43, 0.26, 0.06, -0.06, 0.19, 
##     0.31, 0.35, 0.39, 0.35, 0.37, 0.4, 0.34, 0.16, 0.22, 0.32, 
##     0.35, 0.35, 0.26, 0.11, 0.08, 0.08, 0.31, 0.31, 0.19, 0.1, 
##     0.11, 0.18, 0.29, 0.34, 0.19, 0.21, 0.21, 0.19, 0.24, 0.22, 
##     0.08, 0.11, 0.19, 0.29, 0.26, 0.14, 0.11, 0.14, 0.16, 0.19, 
##     0.21, -0.4, -0.32, 0.08, 0.24, 0.27, -0.16, -0.47, -0.59, 
##     -0.56, -0.37, -0.26, -0.19, -0.16, -0.11, -0.08, -0.13, 0.24, 
##     0.42, 0.43, 0.4, 0.35, -0.08, -0.24, -0.11, 0.16, 0.39, 0.34, 
##     0.37, 0.37, 0.35, 0.22, 0.05, 0.02, 0.06, 0.16, 0.19, 0.21, 
##     0.26, 0.24, 0.19, 0, -0.08, 0.14, 0.05, -0.05, -0.13, -0.34, 
##     -0.35, 0.11, 0.32, 0.43, 0.43, 0.31, 0.18, -0.03, -0.06, 
##     -0.06, -0.18, 0.13, 0.05, 0.32, 0.43, 0.5, 0.42, 0.29, 0.21, 
##     0.13, 0.05, 0.32, 0.34, 0.18, 0.08, 0.08, 0.13, 0.21, 0.31, 
##     0.35, 0.35, 0.24, 0.11, 0.05, 0.05, 0.18, 0.18, -0.1, -0.24, 
##     -0.22, -0.37, -0.51, -0.55, -0.26, 0.14, 0.14, 0.18, 0.14, 
##     0.19, 0.18, 0.16, -0.03, 0, 0.06, 0.16, -0.13, -0.22, -0.56, 
##     -0.37, 0.03, 0.32, 0.29, 0.29, 0.45, 0.29, 0.35, -0.02, -0.06, 
##     0.03, 0.75, 0.8, 0.77, 0.64, -0.26, -0.39, -0.45, -0.26, 
##     -0.32, -0.43, -0.43, -0.35, -0.5, -0.51, -0.45, -0.47, -0.34, 
##     -0.32, -0.31, -0.22, -0.19, -0.13, -0.08, -0.03, -0.26, -0.31, 
##     -0.27, -0.32, -0.11, -0.11, -0.13, -0.14, 0.16, 0.34, 0.37, 
##     0.31, 0.24, 0.21, 0.14, 0.22, 0.26, 0.22, 0.31, 0.48, 0.61, 
##     0.5, 0.42, 0.4, 0.24, 0.14, 0.19, 0.24, 0.29, 0.34, 0.35, 
##     0.11, 0.08, 0.11, 0.08, -0.18, -0.19, -0.13, -0.19, -0.19, 
##     -0.39, -0.42, -0.45, -0.51, -0.51, -0.4, -0.47, -0.39, -0.39, 
##     -0.42, -0.42, -0.08, 0.03, -0.34, -0.32, -0.29, -0.11, 0.1, 
##     -0.26, -0.21, -0.29, -0.43, -0.43, -0.31, -0.24, -0.16, -0.24, 
##     -0.22, -0.11, -0.02, -0.05, -0.13, -0.05, 0.05, 0.18, 0.18, 
##     0.1, 0.11, 0.1, 0.08, 0.06, 0.08, 0.18, 0.16, 0.19, 0.18, 
##     0.31, 0.34, 0.22, 0.11, 0.18, 0.22, 0.24, 0.19, 0.26, 0.27, 
##     0.27, 0.29, 0.35, -0.13, -0.21, -0.29, -0.13, -0.06, -0.21, 
##     -0.29, -0.42, -0.43, -0.21, -0.22, -0.27, -0.19, -0.14, -0.22, 
##     -0.22, -0.13, -0.08, -0.47, -0.48, -0.48, -0.43, -0.37, -0.26, 
##     -0.02, 0, -0.02, -0.18, -0.24, -0.03, 0.11, 0.21, -0.06, 
##     -0.13, -0.06, 0.14, 0.24, 0.59, 0.51, 0.21, 0.16, 0.06, 0.03, 
##     0.08, 0.21, 0.27, 0.19, 0.08, 0.24, 0.27, 0.26, 0.22, 0.26, 
##     0.11, 0.02, -0.1, -0.1, -0.1, -0.08, -0.11, -0.18, -0.21, 
##     -0.24, -0.26, -0.29, -0.35, -0.18, -0.19, -0.63, -0.61, -0.43, 
##     -0.34, -0.34, -0.39, -0.16, 0.02, -0.06, -0.14, -0.22, -0.22, 
##     0.08, 0.06, -0.02, -0.03, -0.03, 0.11, 0.26, 0.26, 0.24, 
##     0.18, 0.1, 0.13, 0.22, -0.37, -0.37, -0.5, -0.53, -0.32, 
##     -0.39, -0.53, -0.37, -0.34, -0.42, -0.19, 0.21, 0.13, 0.02, 
##     -0.22, -0.1, 0.05, 0.06, 0.1, 0.11, 0.13, -0.06, -0.05, 0.06, 
##     0.45, 0.21, 0.27, -0.16, -0.34, -0.53, -0.27, -0.03, 0.13, 
##     0.21, 0.13, 0.03, -0.16, -0.21, -0.13, -0.02, 0.08, 0.31, 
##     0.55, 0.24, 0.03, -0.16, -0.21, -0.58, -0.58, -0.72, -0.79, 
##     -0.74, -0.13, -0.21, -0.55, -0.64, -0.72, -0.74, -0.24, -0.02, 
##     -0.08, -0.26, -0.19, -0.21, -0.27, -0.29, -0.1, -0.14, -0.37, 
##     -0.53, -0.82, -0.79, -0.5, -0.06, 0.13, 0.16, 0.11, -0.14, 
##     -0.27, -0.29, -0.16, -0.24, -0.32, -0.32, -0.05, -0.1, -0.08, 
##     -0.14, -0.27, -0.37, -0.42, -0.45, -0.39, -0.26, 0.24, 0.35, 
##     0.24, 0.1, -0.06, -0.42, -0.51, -0.56, -0.45, -0.32, -0.1, 
##     0.02, 0.05, -0.02, -0.11, -0.31, -0.42, -0.22, -0.16, 0.05, 
##     -0.06, -0.19, -0.35, -0.56, -0.75, -0.88, -0.85, -0.79, -0.66, 
##     -0.5, -0.39, -0.26, -0.03, 0.05, -0.22, -0.16, -0.26, -0.1, 
##     -0.19, -0.64, -0.66, -0.67, -0.67, -0.51, -0.24, 0, 0.29, 
##     0.29, 0.14, 0.03, -0.08, -0.27, -0.35, 0, 0.13, 0.16, 0.13, 
##     0.1, 0.05, -0.02, -0.08, -0.13, -0.16, -0.22, -0.31, -0.4, 
##     -0.56, -0.55, -0.5, -0.26, -0.22, -0.16, 0, -0.02, -0.13, 
##     -0.02, -0.02, -0.21, -0.21, -0.16, -0.1, 0.74, 0.75, 0.67, 
##     0.13, 0.02, -0.55, -0.61, -0.71, -0.74, -0.72, -0.5, -0.45, 
##     -0.31, -0.21, -0.5, -0.51, -0.51, -0.43, -0.32, -0.26, -0.21, 
##     -0.21, -0.21, -0.26, -0.48, -0.43, -0.13, -0.05, -0.02, -0.03, 
##     -0.08, -0.13, -0.14, -0.11, -0.05, 0, -0.02, -0.03, 0.18, 
##     0.18, 0.1, -0.02, 0, 0.21, 0.21, 0.19, 0.22, 0.16, 0.11, 
##     0.29, 0.18, 0.18, -0.05, -0.14, 0.14, -0.08, -0.22, -0.35, 
##     -0.5, -0.56, -0.61, -0.63, -0.71, -0.64, -0.53, -0.47, -0.31, 
##     -0.21, -0.18, -0.08, -0.13, -0.27, -0.16, -0.16, -0.19, -0.13, 
##     -0.1, -0.08, -0.08, -0.5, -0.48, -0.02, -0.05, -0.39, -0.59, 
##     -0.61, -0.42, -0.18, 0.03, 0.18, 0.22, -0.56, -0.48, -0.34, 
##     -0.26, 0.16, 0.22, 0.03, -0.05, -0.27, -0.35, 0.02, 0.08, 
##     0.21, 0.72, 0.61, 0.43, 0.11, -0.11, -0.59, -0.67, -0.74, 
##     -0.71, -0.58, -0.45, -0.42, -0.43, -0.21, -0.42, -0.47, -0.5, 
##     -0.74, -0.71, -0.63, -0.64, -0.56, -0.51, -0.59, -0.61, -0.53, 
##     -0.42, -0.29, -0.39, -0.55, -0.67, -0.29, 0.14, -0.34, -0.61, 
##     -0.53, -0.79, -0.82, -0.64, -0.51, -0.11, -0.13, -0.13, -0.19, 
##     -0.31, -0.32, -0.1, -0.05, 0.06, 0.19, 0.27, 0.32, 0.35, 
##     0.26, 0.21, 0.24, 0.22, 0.22, 0.02, -0.11, -0.5, -0.63, -0.75, 
##     -0.27, -0.31, -0.13, 0.05, 0.24, 0.39, 0.42, 0.22, 0.13, 
##     -0.1, -0.16, -0.45, -0.42, -0.35, -0.21, 0.03, -0.16, -0.34, 
##     -0.32, -0.08, -0.16, -0.43, -0.77, -0.63, -0.69, -0.55, -0.5, 
##     -0.32, -0.05, -0.1, 0.13, 0.13, 0.16, 0.16, 0.18, 0.37, 0.42, 
##     0.16, 0.03, -0.06, -0.14, -0.29, -0.53, -0.67, -0.75, -0.74, 
##     -0.64, -0.22, 0.06, 0.06, 0.02, 0, 0.02, 0.03, -0.16, -0.22, 
##     -0.21, -0.34, -0.4, -0.43, -0.53, -0.4, -0.31, -0.18, -0.06, 
##     -0.02, -0.16, -0.48, -0.48, -0.37, -0.29, -0.29, -0.32, -0.35, 
##     -0.53, -0.48, -0.61, -0.53, -0.31, -0.34, -0.37, -0.19, -0.24, 
##     -0.64, -0.79, -0.56, -0.27, -0.1, 0.31, 0.42, 0.45, -0.22, 
##     -0.31, -0.39, -0.67, -0.64, -0.55, -0.5, -0.31, -0.18, -0.16, 
##     -0.18, -0.21, -0.39, -0.51, -0.58, -0.58, -0.4, -0.26, -0.14, 
##     -0.26, -0.26, -0.34, -0.42, -0.47, -0.47, -0.48, -0.53, -0.48, 
##     -0.43, 0.08, 0.29, 0.35, 0.37, 0.37, 0.32, 0.14, -0.14, -0.55, 
##     -0.66, -0.75, -0.59, -0.48, -0.08, -0.19, -0.13, -0.16, -0.19, 
##     -0.11, -0.08, 0.21, 0.18, 0.05, 0.03, 0.02, -0.22, -0.29, 
##     -0.32, -0.26, -0.34, -0.35, -0.34, -0.21, -0.56, -0.14, -0.08, 
##     -0.16, -0.14, -0.42, -0.35, -0.47, -0.47, 0.16, 0.27, 0.06, 
##     -0.05, -0.13, -0.24, -0.05, 0.05, 0, -0.1, -0.13, 0.02, 0.13, 
##     0.32, 0.31, 0.16, 0.1, -0.4, -0.35, -0.39, -0.42, 0.22, 0.08, 
##     0.02, 0.35, 0.37, 0.26, 0.08, 0.02, -0.05, 0.05, 0.13, -0.24, 
##     -0.5, -0.43, -0.29, 0, 0.19, 0.14, -0.05, -0.26, -0.4, -0.43, 
##     -0.4, -0.4, -0.34, -0.27, -0.22, -0.06, -0.02, -0.14, -0.14, 
##     -0.14, 0, 0.21, 0.32, 0.19, 0.11, 0.31, 0.29, 0.43, 0.63, 
##     0.8, 0.72, 0.18, -0.22, -0.08, 0.03, -0.03, -0.08, -0.08, 
##     0.02, 0.06, 0.05, -0.1, -0.18, -0.16, -0.16, -0.16, -0.1, 
##     -0.11, -0.05, 0, 0.02, 0.06, 0.05, 0.06, 0.05, 0.05, 0.03, 
##     0.02, -0.03, -0.03, -0.14, -0.13, -0.13, -0.1, -0.05, -0.02, 
##     0.06, 0.06, 0.02, 0, 0.05, 0.11, -0.03, -0.08, 0, 0.06, 0.03, 
##     0, -0.02, -0.03, -0.02, -0.03, -0.03, -0.06, 0.13, 0.19, 
##     0.22, 0.05, -0.22, -0.63, -0.75, -0.8, -0.69, -0.48, -0.24, 
##     0.02, 0.4, 0.08, 0.08, 0.16, 0.03, -0.03, -0.31, -0.47, -0.48, 
##     -0.11, 0.05, 0.71, 0.71, 0.27, 0.22, 0.13, 0, 0.13, 0.16, 
##     -0.02, -0.11, -0.13, -0.21, -0.53, -0.51, -0.39, -0.31, -0.1, 
##     -0.03, -0.22, -0.29, -0.27, 0.42, 0.48, 0.16, -0.26, -0.19, 
##     -0.08, -0.34, -0.32, -0.31, -0.22, -0.06, 0.31, 0.74, 0.69, 
##     0.53, -0.11, -0.11, -0.03, 0.08, 0.13, -0.24, -0.16, -0.06, 
##     0.08, 0.1, 0.03, -0.02, 0.05, -0.18, -0.13, 0.05, 0.03, -0.19, 
##     -0.21, -0.29, -0.4, -0.43, 0.24, 0.55, 0.08, -0.26, -0.42, 
##     -0.51, -0.27, -0.16, -0.1, -0.08, 0.16, 0.27, 0.29, 0.24, 
##     0.05, 0.03, 0.1, 0.16, 0.18, 0.14, -0.02, -0.06, -0.06, -0.03, 
##     -0.02, 0.03, 0.05, 0.11, 0.03, 0.05, 0.03, -0.21, -0.34, 
##     -0.06, 0.16, 0.32, -0.18, -0.88, -0.22, 0.26, 0.66, 0.45, 
##     -0.26, -0.24, -0.53, -0.58, -0.61, -0.67, -0.69, -0.69, -0.59, 
##     -0.26, 0.08, 0.34, 0.47, 0.5, 0.43, 0.26, -0.55, -0.43, -0.08, 
##     0.64, 0.5, -0.06, -0.11, -0.02, 0.13, 0.16, 0.13, -0.11, 
##     -0.1, -0.19, 0.53, 0.8, 0.72, 0.16, 0.1, 0.08, 0.14, 0.21, 
##     -0.05, -0.08, -0.03, -0.18, -0.29, -0.34, -0.16, -0.11, -0.4, 
##     -0.42, -0.39, -0.45, -0.47, -0.48, -0.51, 0.05, 0.26, 0.39, 
##     0.45, 0.02, 0.02, 0.02, 0.21, 0.24, 0.21, 0.08, 0.16, 0.43, 
##     0.27, -0.14, -0.35, -0.5, -0.42, -0.26, -0.06, 0.13, 0.1, 
##     -0.13, -0.24, -0.67, -0.4, -0.26, -0.02, -0.06, -0.1, -0.03, 
##     0.16, 0.18, 0.27, 0.27, 0.34, 0.34, 0.39, 0.35, 0.35, 0.18, 
##     0.39, 0.55, 0.55, 0.37, -0.29, -0.22, 0.14, 0.1, -0.05, -0.56, 
##     -0.56, -0.47, -0.5, -0.64, -0.51, -0.69, -0.34, 0, 0.42, 
##     0.21, -0.22, -0.32, -0.21, 0.19, 0.27, 0.29, 0.26, 0.32, 
##     0.37, 0.43, 0.43, 0.43, 0.4, 0.4, 0.45, 0.45, 0.5, 0.47, 
##     -0.14, -0.47, -0.71, -0.8, 0.21, -0.58, -0.63, -0.72, -0.98, 
##     -0.9, -0.74, -0.24, -0.13, -0.06, -0.32, -0.11, 0.11, 0.35, 
##     0.32, 0.31, 0.21, 0.29, 0.22, 0.03, 0.11, 0.14, 0.13, 0.14, 
##     0.16, 0.03, 0.29, 0.4, 0.29, 0.31, 0.47, 0.67, 0.48, 0.32, 
##     0.16, 0.16, 0.16, 0.16, -0.02, -0.02, -0.05, -0.14, -0.34, 
##     -0.56, -0.63, -0.37, 0.87, 1.04, 1.04, 1.04, 0.88, 0.74, 
##     0.19, 0.1, -0.45, -0.8, -0.93, -0.45, 0.21, 0.39, 0.35, 0.02, 
##     -0.42, -0.48, -0.55, -0.5, -0.4, -0.42, -0.45, -0.32, -0.55, 
##     -0.58, -0.03, 0.22, 0, -0.03, 0.29, 0.39, 0.47, 0.4, 0.42, 
##     0.5, 0.75, 0.87, 0.67, 0.45, 0.29, 0.18, 0.32, 0.42, 0.29, 
##     -0.27, -0.4, -0.4, -0.45, -0.19, -0.22, -0.37, -0.74, -0.85, 
##     -0.87, -0.9, -0.83, -0.58, -0.56, -0.72, -0.58, -0.45, -0.51, 
##     -0.47, 0.08, 0.14, 0.22, 0.32, 0.45, 0.82, 0.72, 0.75, 0.74, 
##     0.69, 0.5, 0.34, -0.03, -0.16, -0.35, -0.35, -0.35, -0.35, 
##     -0.35, -0.58, -0.56, -0.56, -0.24, -0.11, -0.06, -0.13, -0.43, 
##     -0.5, -0.66, -0.31, -0.37, -0.53, -0.35, -0.24, -0.24, -0.11, 
##     -0.02, 0.03, 0.1, 0.31, 0.71, 0.64, 0.45, 0.48, 0.66, 0.64, 
##     0.48, 0.53, -0.42, -0.37, -0.18, -0.02, 0.05, -0.02, -0.11, 
##     -0.29, -0.58, -0.77, -0.72, -0.8, -0.79, -0.79, -0.29, -0.35, 
##     -0.55, -0.77, -0.71, -0.27, -0.21, -0.13, 0.06, 0.16, 0.21, 
##     0.18, 0.26, 0.34, 0.51, 0.55, 0.51, 0.63, 0.26, 0.22, 0.34, 
##     0.45, 0.56, 0.39, -0.16, 0, 0, -0.05, -0.08, -0.1, -0.05, 
##     -0.05, -0.05, -0.06, -0.03, 0, 0.02, 0.03, 0.03, 0.02, -0.02, 
##     -0.03, -0.02, 0.02, 0.08, 0, -0.03, -0.02, 0.02, -0.1, -0.11, 
##     -0.06, -0.05, -0.08, -0.08, -0.08, -0.03, -0.02, 0.06, 0.14, 
##     0.1, 0.05, 0.06, 0.03, 0.03, 0.03, 0, 0.03, 0.02, 0.02, -0.05, 
##     -0.06, 0.05, 0.03, 0.1, 0.02, 0, 0.05, 0.05, 0.06, 0.03, 
##     -0.03, 0.02, 0, 0.03, 0.05, 0.05, 0, -0.06, -0.06, 0.02, 
##     0.03, -0.03, 0, 0.02, 0.02, 0.03, 0.05, 0.03, 0.06, 0.08, 
##     -0.02, 0.03, 0.03, 0.05, 0.03, 0, 0.02, 0.05, 0.03, 0, 0.02, 
##     0.02, 0.03, 0.05, 0.05, 0.08, 0.08, 0, 0.02, -0.03, -0.05, 
##     -0.06, 0, 0.02, 0, 0.05, 0.03, 0.03, -0.02, 0, 0.03, 0.05, 
##     0.06, 0.06, 0.08, 0.02, 0, -0.03, 0, 0.05, 0.1, 0.11, 0.03, 
##     -0.03, -0.19, 0.1, 0.11, 0.11, 0.11, 0.11, 0.06, -0.02, -0.13, 
##     -0.13, -0.14, -0.02, 0.05, 0.05, 0.03, 0, 0.02, 0.03, 0.02, 
##     0.05, 0, 0.02, -0.05, -0.05, -0.05, 0.1, 0.11, 0.11, 0.1, 
##     0.02, -0.03, -0.02, 0, 1, 0.95, 0.8, 0.74, 0.66, 0.63, 0.64, 
##     0.88, 0.85, 0.77, 0.71, 0.69, 0.66, 0.47, 0.5, 0.59, 0.61, 
##     0.79, 0.75, 0.77, 0.88, 0.96, 1, 0.92, 0.9, 0.93, 0.71, 0.75, 
##     0.69, 0.59, 0.59, 0.67, 0.85, 0.77, 0.93, 0.88, 0.75, 0.77, 
##     0.75, 0.83, 0.92, 1.01, 1.03, 1.12, 1.06, 0.98, 0.95, 0.82, 
##     0.88, 0.96, 1.04, 1.08, 0.85, 0.82, 0.95, 1.01, 1.04, 1, 
##     0.92, 0.96, 1, 1.09, 0.96, 0.98, 1, 0.92, 0.88, 0.87, 0.87, 
##     0.92, 0.8, 0.82, 0.69, 0.64, 0.72, 0.69, 0.58, 0.61, 0.64, 
##     0.56, 0.64, 0.75, 0.71, 0.53, 0.48, 1.32, 1.27, 1.25, 1.16, 
##     1.16, 1.12, 1.08, 1.14, 1.09, 1.04, 1.04, 1.08, 1.08, 0.96, 
##     0.88, 0.93, 0.9, 0.96, 1.14, 1.11, 0.85, 0.66, 0.64, 0.71, 
##     0.72, 0.74, 0.61, 0.5, 0.45, 0.45, 0.42, 0.39, 0.4, 0.51, 
##     0.64, 1.01, 1.04, 0.87, 0.87, 0.87, 0.71, 0.8, 0.92, 1.49, 
##     1.62, 1.61, 1.65, 1.64, 1.54, 1.46, 1.22, 0.98, 0.87, 0.96, 
##     0.72, 1, 1.03, 1.06, 1.08, 0.98, 0.83, 0.74, 0.75, 0.71, 
##     0.67, 0.74, 0.8, 0.85, 0.88, 0.95, 1.03, 1.06, 1.01, 0.92, 
##     1.01, 1.01, 1, 1.14, 1.11, 1.06, 1.03, 1.14, 1.14, 1.17, 
##     1.17, 1.17, 1.16, 1.25, 1.16, 1.19, 1.09, 1, 1.06, 0.92, 
##     0.96, 0.88, 0.87, 0.74, 0.75, 0.71, 0.47, 0.53, 0.58, 0.39, 
##     0.79, 0.9, 0.79, 0.75, 0.85, 0.93, 0.9, 1.09, 1.01, 1.06, 
##     1.06, 1.04, 1.09, 1.11, 1.08, 1.03, 1.04, 1.09, 1.06, 1.09, 
##     1.14, 1.09, 1.11, 1.16, 1.28, 1.2, 1.12, 1.01, 1.32, 1.19, 
##     1.09, 1.01, 0.98, 1.06, 1.01, 0.88, 0.93, 0.96, 0.87, 0.95, 
##     0.9, 0.93, 0.96, 0.96, 1, 1, 1.01, 0.95, 0.95, 0.74, 0.95, 
##     0.64, 0.53, 0.96, 0.87, 1.19, 1.19, 0.96, 0.9, 1, 0.98, 0.92, 
##     0.92, 0.93, 1.01, 1.09, 1.09, 0.96, 0.95, 1.33, 1.24, 1.08, 
##     1.2, 1.32, 1.38, 1.36, 1.14, 1.03, 0.98, 0.92, 0.92, 0.9, 
##     0.98, 1.16, 0.96, 0.88, 0.85, 0.88, 0.85, 1.04, 1.06, 1.03, 
##     0.98, 0.92, 0.85, 0.88, 1.01, 0.75, 0.74, 0.8, 0.93, 0.72, 
##     0.66, 0.87, 0.93, 1.22, 1.17, 1.06, 0.98, 0.87, 0.87, 1.11, 
##     1.09, 1, 1, 1.09, 1.2, 0.96, 1.01, 1.08, 1.14, 1.22, 1.28, 
##     1.25, 1.16, 1.01, 1.14, 1.19, 1.24, 1.24, 1.17, 1.12, 1.08, 
##     1.06, 1.04, 1.03, 0.72, 0.72, 0.92, 1.04, 0.92, 1.01, 1.11, 
##     1.32, 1.16, 1.03, 0.88, 1.11, 1.06, 0.96, 0.9, 0.93, 1.03, 
##     0.98, 0.96, 0.96, 0.98, 1.01, 1.09, 1.08, 1.04, 1.04, 1.08, 
##     1, 1.01, 1, 0.96, 0.95, 0.83, 0.93, 0.85, 0.98, 1.04, 0.88, 
##     0.77, 0.85, 0.96, 0.69, 0.98, 1.08, 1.06, 1.01, 1.09, 1.11, 
##     1.03, 0.98, 1.22, 1.28, 1.35, 1.27, 1.35, 1.32, 1.28, 1.14, 
##     1.22, 1.22, 1.25, 1.14, 0.96, 0.98, 1.04, 1.09, 1.08, 1.08, 
##     1.14, 1.16, 1.11, 1.12, 1.01, 1, 0.98, 0.95, 0.93, 0.93, 
##     0.96, 0.92, 0.87, 0.92, 1.01, 1.04, 1.06, 0.93, 0.98, 1, 
##     1.03, 1.04, 1.06, 1.03, 1, 0.96, 0.95, 0.95, 0.98, 1.03, 
##     0.98, 0.95, 0.96, 0.9, 0.88, 0.88, 0.98, 1.01, 0.98, 0.82, 
##     0.82, 0.83, 0.92, 1, 1.01, 0.9, 0.92, 0.95, 1, 1.01, 1.09, 
##     0.95, 1.49, 1.4, 1.43, 1.54, 1.61, 1.61, 1.53, 1.53, 1.28, 
##     1.35, 1.33, 1.22, 1.09, 1.01, 0.8, 1.06, 1.16, 1.14, 1.11, 
##     1.11, 1.17, 1.22, 1.25, 1.19, 1.41, 1.33, 1.3, 1.16, 1.27, 
##     1.38, 1.33, 1.28, 1.35, 1.49, 1.49, 1.45, 1.28, 1.14, 1.09, 
##     1.12, 1.09, 1.04, 1.09, 0.83, 0.85, 0.83, 0.87, 0.93, 1.09, 
##     1.2, 1.19, 1.09, 0.77, 0.71, 0.67, 0.69, 0.77, 0.79, 0.95, 
##     1.01, 1.08, 1.14, 1.25, 1.35, 1.54, 1.49, 1.53, 1.61, 1.64, 
##     1.64, 0.16, 0.37, 0.71, 0.79, 0.13, -0.08, -0.02, 0.39, 0.21, 
##     0.18, 0.14, 0.18, 0.24, 0.27, -0.22, -0.21, -0.11, 0.08, 
##     -0.11, -0.22, -0.31, -0.35, -0.32, -0.19, -0.21, -0.53, -0.58, 
##     -0.08, 0.1, 0.11, 0.14, 0.16, 0.19, 0.21, 0.13, 0.16, 0.26, 
##     0.4, 0.51, 0.5, 0.37, 0.29, 0.31, 0.26, 0.26, 0.4, 0.48, 
##     0.51, 0.55, 0.55, 0.43, 0.47, -0.13, -0.08, 0.02, -0.1, -0.19, 
##     -0.43, -0.16, -0.21, -0.27, -0.32, -0.45, -0.56, -0.31, -0.24, 
##     -0.13, -0.14, -0.29, -0.31, -0.18, -0.42, -0.56, -0.59, -0.53, 
##     -0.5, -0.48, -0.37, -0.21, -0.05, -0.11, 0, 0.13, 0.24, 0.31, 
##     0.21, 0.24, 0.22, 0.29, 0.27, 0.5, 0.48, 0.21, 0.06, 0.06, 
##     0.11, 0.27, 0.43, 0.45, 0.42, 0.35, 0.37, 0.11, 0.06, 0.19, 
##     0.24, 0.22, 0.03, -0.02, -0.1, -0.21, -0.27, -0.26, -0.18, 
##     -0.08, -0.1, -0.35, -0.43, -0.48, -0.45, -0.31, 0.02, 0.05, 
##     0.08, 0.16, 0.21, 0.26, 0.08, 0.06, 0.53, 0.48, 0.37, 0.14, 
##     -0.08, -0.24, -0.29, -0.1, 0.05, 0.14, 0.26, 0.34, 0.37, 
##     0.35, 0.27, 0.22, 0.21, 0.03, -0.02, 0.05, -0.05, 0.02, 0.03, 
##     0, -0.02, -0.27, -0.35, -0.48, -0.35, -0.22, -0.19, 0.24, 
##     0.61, 0.61, 0.61, 0.71, 0.74, 0.22, 0.34, 0.42, 0.5, 0.56, 
##     0.59, 0.39, 0.39, 0.4, 0.32, 0.18, -0.16, -0.21, -0.16, -0.26, 
##     -0.18, -0.06, 0.03, 0.45, 0.51, 0.34, 0.08, 0.08, -0.16, 
##     0.13, 0.66, 0.61, 0.64, 0.27, 0.19, -0.13, -0.35, -0.27, 
##     -0.31, -0.32, -0.32, -0.19, -0.18, -0.02, 0.06, 0.21, 0.31, 
##     0.31, 0.26, 0.22, 0.18, 0.06, -0.03, -0.14, -0.26, -0.24, 
##     -0.05, 0, 0, 0, -0.08, -0.1, -0.13, -0.31, -0.21, -0.19, 
##     -0.31, -0.39, -0.4, -0.42, -0.58, -0.55, -0.45, 0.22, 0.13, 
##     -0.14, -0.21, -0.19, -0.05, 0.13, 0.27, 0.35, 0.35, 0.24, 
##     0.32, 0.61, 0.64, -0.18, 0.24, 0.06, -0.02, -0.24, -0.37, 
##     -0.35, -0.34, -0.45, -0.35, -0.48, -0.61, -0.53, -0.51, -0.56, 
##     -0.31, -0.31, -0.27, -0.27, -0.27, -0.02, 0.03, -0.05, -0.1, 
##     -0.02, 0.39, 0.43, 0.34, 0.32, 0.02, 0.14, 0.21, 0.21, 0.11, 
##     -0.37, -0.37, -0.35, 0.02, 0, 0.03, -0.43, -0.59, -1.04, 
##     -0.66, -0.51, -0.22, 0.1, -0.13, -0.27, -0.14, -0.22, -0.79, 
##     -0.61, -0.45, -0.26, -0.16, 0.13, 0.11, -0.14, -0.26, -0.32, 
##     -0.37, -0.35, -0.13, -0.06, -0.11, -0.08, -0.06, -0.05, 0, 
##     -0.64, -0.67, -0.69, -0.67, -0.47, -0.39, -0.35, -0.5, -0.39, 
##     -0.34, -0.37, -0.26, -0.32, -0.48, -0.47, -0.45, -0.21, -0.11, 
##     -0.18, -0.11, -0.08, -0.18, 0.03, 0.05, 0.02, -0.1, -0.08, 
##     0, 0.05, 0, 0, 0.05, 0.05, 0.03, -0.02, -0.05, -0.06, 0.03, 
##     0.06, 0.08, 0.06, 0, -0.02, 0, 0, 0, 0, -0.19, -0.03, -0.21, 
##     -0.24, -0.19, -0.31, -0.39, -0.66, -0.4, -0.18, -0.14, 0.16, 
##     0.22, 0.21, 0.24, -0.02, -0.02, -0.03, 0.05, -0.03, -0.02, 
##     -0.16, -0.26, -0.43, -0.59, -0.64, -0.69, -0.55, -0.24, -0.4, 
##     -0.26, -0.16, -0.13, -0.03, 0.39, 0.43, -0.14, -0.06, 0.1, 
##     0.19, 0.42, 0.53, 0.39, 0.37, 0.35, -0.05, -0.31, -0.79, 
##     -0.67, -0.67, -0.43, -0.43, -0.43, -0.06, -0.58, -0.37, -0.19, 
##     -0.16, -0.43, -0.35, -0.13, -0.18, -0.43, -0.4, -0.03, -0.19, 
##     -0.18, -0.13, -0.27, -0.53, -0.47, -0.31, -0.19, -0.31, -0.61, 
##     -0.69, -0.59, -0.43, -0.43, -0.35, -0.18, 0.31, 0.06, -0.11, 
##     -0.35, -0.37, -0.29, -0.02, 0, -0.11, -0.5, -0.16, -0.31, 
##     0.03, 0.18, 0.26, 0.64, 0.64, 0.55, 0.35, 0.05, -0.27, -0.45, 
##     -0.58, -0.74, -0.77, -0.67, -0.48, -0.31, -0.24, -0.13, -0.06, 
##     -0.1, -0.18, -0.03, -0.1, -0.19, -0.24, -0.31, -0.37, -0.51, 
##     -0.53, -0.16, -0.08, 0, -0.02, -0.16, -0.24, -0.45, -0.74, 
##     -0.9, -0.93, -1.01, -0.96, -0.8, -0.21, -0.1, -0.03, 0.02, 
##     0.03, 0, -0.05, -0.13, -0.22, -0.05, -0.42, -0.45, -0.18, 
##     0, -0.14, -0.16, -0.18, -0.16, -0.19, -0.16, 0.02, 0.05, 
##     0.42, 0.42, 0.37, 0.37, 0.39, 0.43, 0.02, -0.16, -0.37, -0.5, 
##     -0.43, -0.39, -0.31, -0.37, -0.43, -0.45, -0.34, -0.24, -0.21, 
##     -0.1, 0.02, 0.21, 0.32, 0.29, -0.11, -0.31, -0.32, -0.27, 
##     -0.24, -0.34, -0.45, -0.61, -0.53, -0.22, 0.11, 0.13, 0.05, 
##     -0.11, -0.24, 0.19, 0.35, 0.53, 0.59, 0.53, 0.16, -0.1, -0.18, 
##     0.05, 0.32, 0.43, 0.18, -0.34, -0.58, -0.48, -0.47, -0.34, 
##     -0.24, -0.11, -0.13, -0.22, -0.1, 0.47, 0.24, 0.13, 0.08, 
##     0.21, 0.22, 0.1, -0.24, -0.4, -0.51, -0.51, -0.43, -0.31, 
##     -0.1, 0.05, 0.05, -0.16, 0.43, 0.58, 0.39, 0.35, 0.37, 0.42, 
##     0.35, 0.19, 0.11, 0.27, 0.29, 0.18, 0.11, 0.13, 0.16, 0.16, 
##     0.19, 0.29, 0.37, 0.63, -0.32, -0.59, -0.67, 0.31, 0.51, 
##     0.66, 0.64, 0.48, 0.35, 0.11, 0.08, 0.06, 0.02, -0.06, -0.16, 
##     -0.08, -0.13, -0.18, -0.26, -0.31, -0.34, -0.48, -0.11, -0.34, 
##     -0.24, -0.13, -0.22, 0, 0.56, 0.67, 0.66, 0.34, 0.05, -0.22, 
##     -0.58, -0.56, -0.45, -0.19, 0.35, 0.55, 0.64, 0.66, 0.56, 
##     0.32, 0.34, 0.34, 0.14, -0.27, -0.58, -0.42, -0.48, -0.43, 
##     -0.14, 0.19, 0.08, -0.05, 0.26, 0.22, -0.21, -0.03, 0.02, 
##     0.02, -0.02, -0.05, -0.11, -0.13, -0.26, 0.05, -0.06, 0.31, 
##     0.43, 0.53, 0.14, -0.02, -0.05, -0.08, -0.18, -0.24, -0.22, 
##     -0.29, -0.37, -0.48, -0.05, 0.02, 0.08, 0.21, 0.37, 0.48, 
##     0.96, 0.83, 0.8, 0.75, 0.71, 0.43, -0.14, -0.11, -0.05, 0.26, 
##     0.32, 0.45, 0.56, 0.67, 0.8, 0.61, 0.85, 0.87, 0.79, 0.31, 
##     -0.31, -0.42, -0.45, -0.48, -0.32, -0.19, -0.1, -0.05, -0.05, 
##     -0.13, -0.22, -0.24, -0.35, -0.35, -0.35, -0.1, -0.08, -0.02, 
##     1.32, 1.11, 1.04, 1.01, 0.8, 0.51, 0.31, 0.21, 0.06, 0.11, 
##     0.14, -0.13, -0.35, -0.27, -0.14, -0.14, -0.27, -0.14, 0.16, 
##     0.19, 0.35, 0.63, 0.67, 0.29, 0.37, 0.55, 0.63, 0.26, 0.22, 
##     0.34, 1.19, 1.2, 1.25, 1.27, 1.33, 1.3, 1.24, 1.32, 1.33, 
##     1.32, 1.25, 1.43, 1.33, 1.28, 1.22, 1.19, 1.24, 1.16, 1.24, 
##     1.27, 1.38, 1.33, 1.4, 1.56, 1.65, 1.72, 1.77, 1.67, 1.61, 
##     1.54, 1.3, 1.17, 1.03, 0.96, 0.75, 0.77, 0.71, 0.67, 0.56, 
##     0.5, 0.43, 0.32, 0.22, 0.06, -0.35, -0.43, -0.13, -0.1, 0.11, 
##     0.06, -0.05, -0.03, 0.06, 0.5, 0.32, 0.18, 0.48, 0.53, 0.42, 
##     0.87, 0.75, 1, 1.03, 1.08, 1.17, 1.28, 1.28, 1.3, 1.38, 1.62, 
##     1.7, 1.72, 1.67, 1.49, 1.49, 1.53, 1.54, 1.48, 1.67, 1.67, 
##     1.61, 1.4, 1.43, 1.41, 1.33, 1.24, 1.25, 1.27, 1.3, 1.36, 
##     1.43, 1.49, 1.61, 1.62, 1.46, 1.36, 1.22, 1.19, 1.11, 1.06, 
##     0.82, 0.74, 0.66, 0.59, 0.55, 0.5, 0.43, 0.37, 0.39, 1.33, 
##     1.32, 1.32, 1.08, 1.17, 1.01, 1.08, 1.2, 1.25, 1.27, 1.48, 
##     1.54, -0.14, -0.1, 0.18, 0.55, 0.71, 0.71, 0.67, 0.5, 0.22, 
##     0, 0.02, 0.05, 0.02, 0.06, 0.06, 0.11, 0.02, -0.18, -0.18, 
##     -0.18, -0.13, -0.08, -0.05, -0.06, -0.1, -0.08, -0.02, -0.02, 
##     -0.03, 0.02, 0.05, 0.02, 0.05, 0.06, 0.06, 0.05, 0.03, 0.1, 
##     0.11, 0.11, 0.14, 0.13, 0.13, 0.08, 0.13, 0.18, 0.14, 0.1, 
##     0.08, 0.08, 0.08, 0.1, 0.16, 0.22, 0.32, 0.34, 0.22, 0.05, 
##     -0.08, 0.26, 0.51, 0.74, 0.22, 0.03, -0.19, -0.43, -0.55, 
##     0.02, 0.19, 0.31, 0.39, 0.35, 0.29, 0.03, -0.34, -0.59, -0.77, 
##     -0.87, -0.63, -0.32, 0.02, 0.29, 0.45, 0.11, 0.05, 0, 0.02, 
##     0.03, 0.05, 0.1, 0.03, -0.27, -0.32, -0.32, -0.37, -0.06, 
##     -0.69, -1.48, -1.56, -1.48, -0.98, -0.43, -0.21, 0.1, 0.69, 
##     0.98, 1, 0.61, 0.16, -0.1, -0.27, -0.06, 0.22, 0.45, 0.55, 
##     0.53, 0.4, 0.18, 0.14, 0.1, 0.05, 0.08, 0.48, 0.29, 0.26, 
##     -0.11, -0.18, -0.21, -0.1, 0.08, 0.18, 0.27, 0.34, 0.4, -0.35, 
##     -0.9, -1.24, -0.11, 0.69, 0.79, 0.69, 0.27, 0.14, 0.06, 0, 
##     0, -0.02, -0.19, -0.29, -0.29, -0.24, -0.13, -0.06, -0.06, 
##     -0.13, -0.14, -0.26, -0.13, -0.32, -0.39, -0.27, -0.31, -0.27, 
##     -0.19, 0.11, 0.32, 0.63, 0.43, 0.19, 0.06, 0.02, -0.02, -0.24, 
##     -0.39, 0.03, -0.02, -0.32, -0.51, -0.55, -0.56, -0.53, -0.27, 
##     -0.29, 0, 0.48, 0.59, -0.1, -0.11, -0.02, 0.06, 0.34, 0.1, 
##     -0.26, -0.66, -0.24, -0.08, 0.08, 0.19, -0.88, 0.43, 0.85, 
##     1.03, 0.67, -0.03, -0.08, -0.14, -0.27, -0.42, -0.71, -0.85, 
##     -0.77, -0.55, -0.58, -0.32, -0.35, -0.53, -0.27, -0.22, -0.21, 
##     -0.13, -0.03, -0.1, -0.14, 0.19, 0.45, 0.26, -0.02, -0.1, 
##     0.31, 0.32, 0.26, 0.22, 0.16, 0.03, 0.02, 0.05, 0, -0.02, 
##     -0.02, -0.18, -0.37, -0.43, -0.55, -0.67, -0.92, -1, -0.59, 
##     0.26, 0.82, 0.59, 0.19, -0.06, -0.21, -0.31, -0.4, -0.45, 
##     -0.42, -0.43, -0.45, -0.34, -0.18, 0.08, 0.27, 0.43, 0.48, 
##     0.45, 0.31, 0.05, -0.16, -0.35, -0.47, -0.79, 0.18, 0.22, 
##     0.21, 0.18, 0.14, 0.1, 0.03, -0.05, -0.1, -0.14, -0.34, -0.35, 
##     -0.5, -0.5, -0.55, -0.55, -0.51, -0.61, -0.66, -0.53, -0.67, 
##     -0.72, -0.61, -0.42, -0.22, 0.05, -0.03, -0.26, -0.13, -0.02, 
##     0.08, 0.16, 0.18, 0.11, -0.03, -0.06, -0.06, -0.08, 0.14, 
##     0.26, -0.13, -0.18, -0.26, -0.11, 0, 0.03, -0.03, -0.08, 
##     -0.14, -0.1, -0.02, 0.26, 0.19, 0.13, -0.02, -0.11, -0.37, 
##     -0.51, -0.92, -1.7, -1.83, -1.88, -0.96, -0.61, 0.34, 0.27, 
##     0.42, 0.11, 0.02, 0.14, 0.21, 0.24, 0.11, -0.18, -0.24, -0.26, 
##     -0.32, 0, 0.02, 0.06, 0.16, 0.24, 0.24, -0.05, -0.26, -0.59, 
##     -0.59, -0.32, -0.77, -0.95, -0.96, -0.77, 0.64, 0.66, 0.55, 
##     0, -0.21, -0.31, -0.42, -0.31, -0.06, 0.29, 0.42, 0.56, 0.66, 
##     0.48, -0.4, -1.03, -0.74, -0.69, -0.48, -0.14, -0.14, -0.27, 
##     -0.19, -0.03, 0.13, 0.14, 0.22, 0.21, 0.21, -0.06, -0.31, 
##     -0.56, -0.5, -0.42, -0.26, -0.13, -0.02, 0.11, 0.27, 0.32, 
##     0.35, 0, -0.31, -0.27, 0.34, 0.39, -0.47, -0.59, -0.53, -0.53, 
##     -0.42, -0.22, -0.02, 0.31, 0.24, 0.16, 0.03, -0.06, -0.42, 
##     -0.51, -0.61, -0.67, -0.66, -0.61, -0.53, -0.5, -0.42, -0.42, 
##     -0.48, -0.21, -0.16, -0.18, -0.5, -0.37, -0.24, -0.19, -0.08, 
##     -0.16, -0.34, -0.4, -0.13, -0.1, -0.05, -0.18, -0.21, -0.24, 
##     -0.18, -0.14, -0.06, -0.1, -0.11, -0.11, -0.08, 0.03, 0.06, 
##     0.1, 0.08, 0.03, 0.08, 0.05, 0.05, 0.05, 0.03, 0.03, 0.05, 
##     -0.08, -0.13, -0.1, -0.08, -0.02, 0.16, 0.14, 0.02, 0.03, 
##     -0.18, -0.31, -0.42, -0.42, -0.35, -0.24, 0.14, 0.13, 0.11, 
##     0.16, 0.21, 0.19, -0.02, -0.03, -0.02, 0, 0.02, 0.02, -0.02, 
##     -0.06, -0.22, -0.22, -0.22, -0.21, -0.18, -0.13, -0.13, -0.13, 
##     -0.1, 0.03, 0.19, -0.05, 0.24, 0.55, 0.47, 0.39, -0.13, -0.1, 
##     0.19, 0.19, 0.14, 0.16, 0.16, 0.14, 0.11, 0.13, 0.13, 0.13, 
##     0.14, 0.19, 0.29, 0.24, 0.29, 0.24, 0.1, -0.11, 0.03, -0.61, 
##     -0.58, -0.59, 0.03, -0.14, -0.45, -0.45, -0.48, -0.1, 0.13, 
##     0.32, -0.18, 0.22, 0.31, 0.18, -0.39, -0.55, -0.59, -0.63, 
##     -0.45, 0.18, 0.26, 0.32, 0.32, 0.34, 0.34, 0.48, 0.59, 0.53, 
##     0.32, 0.1, 0.03, 0.32, 0.34, 0.37, 0.5, 0.59, 0.64, 0.8, 
##     1.41, 1.53, 1.3, 0.98, 1.14, 1.19, 1.22, 0.88, -0.75, -1.38, 
##     -1.3, -1.45, -1.22, -0.9, -0.96, -1.25, -1.65, -2.06, -1.54, 
##     -0.43, 0.03, -0.18, -0.63, -0.72, -0.66, -0.71, -0.29, -0.19, 
##     -0.32, -0.14, -0.02, 0.43, 0.83, 0.74, 0.37, 0.03, 0, 0.16, 
##     0.31, 0.37, 0.45, 1.14, 0.98, 0.69, 0.58, 0.83, 1.22, 1.53, 
##     1.33, 1.12, 0.98, 1.16, -0.18, -0.83, -0.82, -0.85, -0.98, 
##     -1.59, -1.45, -1.14, -0.67, -0.71, -0.85, -0.34, -0.51, -0.48, 
##     -0.26, -0.13, -0.06, -0.19, -0.1, -0.02, 0.1, 0.31, 0.32, 
##     0.22, 0.18, 0.11, 0.14, 0.21, 0.27, 0.22, 0.27, 0.29, 0.22, 
##     0.22, 0.29, 0.34, 0.39, 0.03, 0.08, 0.08, 0.22, 0.24, 0.19, 
##     0.37, 0.34, -0.51, 0.16, 0.1, -0.05, -0.29, 0.05, 0, -0.58, 
##     -0.72, -0.74, -0.63, 0.11, 0.29, 0.21, 0.1, -0.1, -0.53, 
##     -0.56, -0.58, -0.61, -0.45, -0.42, -0.37, -0.26, -0.11, 0.08, 
##     0.06, 0.02, 0, 0.14, 0.14, 0.11, 0.24, 0.06, 0.22, 0.59, 
##     0.53, 0.31, 0.32, 0.37, 0.24, -0.08, -0.18, -0.13, 0.02, 
##     0.1, 0.24, 0.47, 0.58, 0.48, 0.35, -0.29, -0.03, 0.03, 0.05, 
##     0.05, 0.06, -0.45, -0.39, -0.34, -0.31, -0.24, -0.14, -0.18, 
##     -0.21, 0.05, 0.03, -0.16, -0.27, -0.06, -0.32, -0.45, -0.45, 
##     -0.34, -0.56, -0.47, -0.47, -0.31, -0.35, -0.43, -0.4, 0.02, 
##     0.24, 0.13, -0.11, -0.06, -0.21, -0.47, -0.47, -0.39, -0.31, 
##     -0.24, -0.16, -0.13, -0.22, -0.39, -0.45, -0.27, -0.16, -0.16, 
##     -0.22, 0.14, 0.29, 0.08, -0.02, -0.11, -0.13, -0.05, -0.02, 
##     -0.06, -0.05, 0, 0.05, -0.03, -0.03, -0.05, -0.13, -0.18, 
##     -0.18, -0.27, -0.19, -0.21, -0.06, 0.31, 0.34, 0.47, 0.47, 
##     0.5, 0.59, 0.69, 0.77, 0.83, 0.87, 0.85, 0.82, 0.69, 0.72, 
##     0.74, 0.85, 1.01, 0.87, 0.77, 0.55, 0.51, 0.47, 0.43, 0.19, 
##     0.29, 0.24, 0.14, -0.14, -0.22, -0.24, -0.21, -0.19, -0.24, 
##     -0.22, -0.24, -0.35, -0.42, -0.39, -0.39, -0.4, -0.39, -0.34, 
##     -0.4, -0.58, -0.66, -0.63, -0.55, -0.43, -0.34, -0.29, -0.26, 
##     -0.45, -0.58, -0.59, -0.69, -0.56, -0.37, -0.31, -0.37, -0.5, 
##     -0.51, -0.5, -0.43, 0.22, 0.34, 0.35, 0.29, 0.19, -0.29, 
##     0.18, 0.14, 0.37, 0.59, 0.22, 0, 0.64, 0.87, 0.87, 0.93, 
##     0.87, 0.51, 0.37, 0.48, 0.55, 0.5, 0.31, 0.42, 0.4, 0.27, 
##     0.24, 0.18, 0.13, 0, 0, -0.11, -0.14, -0.18, -0.22, -0.24, 
##     -0.24, -0.31, -0.32, -0.32, -0.34, -0.37, -0.58, -0.59, -0.47, 
##     -0.22, -0.55, -0.69, -0.59, -0.45, -0.26, -0.35, -0.4, -0.66, 
##     -0.22, -0.26, -0.24, -0.27, -0.21, -0.14, -0.05, 0.1, 0.21, 
##     0.29, 0.39, 0.45, 0.48, 0.45, 0.31, 0.37, 0.37, 0.4, 0.39, 
##     0.29, 0.11, 0.11, 0.13, 0.14, 0.59, 0.67, 0.82, 0.88, 0.87, 
##     0.79, 0.45, 0.43, 0.35, 0, -0.11, -0.21, -0.29, -0.27, -0.24, 
##     -0.24, -0.35, -0.4, -0.42, -0.42, -0.42, -0.4, -0.48, -0.51, 
##     -0.61, -0.59, -0.51, -0.51, -0.42, -0.31, -0.37, -0.29, -0.51, 
##     -0.71, -0.82, -0.58, -0.48, -0.18, -0.1, -0.18, -0.21, -0.35, 
##     -0.55, -0.66, -0.53, -0.48, -0.34, 0.05, 0.11, 0.14, 0.19, 
##     0.05, -0.14, -0.14, 0.08, 0.55, 0.74, 0.83, 0.56, 0.43, 0.37, 
##     0.27, 0.19, 0.14, 0.16, 0.47, 0.93, 1.56, 1.69, 1.4, 1.33, 
##     1.14, 0.95, 0.61, 0.32, 0.19, 0.24, 0.34, 0.39, 0.05, -0.06, 
##     -0.11, -0.11, -0.19, -0.29, -0.37, -0.42, -0.43, -0.39, -0.27, 
##     -0.19, -0.14, -0.18, -0.02, 0.14, 0.16, 0.06, -0.02, -0.05, 
##     -0.75, -0.71, -0.77, -0.5, -0.5, -0.32, -0.47, -0.88, -0.58, 
##     -0.61, -0.55, -0.31, -0.34, -0.34, -0.4, -0.55, -0.08, 0.05, 
##     0.18, 0.29, 0.42, 0.42, 0.37, 0.31, 0.35, 0.55, 0.39, 0.21, 
##     -0.08, -0.37, -0.53, 0.02, 1.22, 1.46, 1.4, 0.64, 0.24, -0.13, 
##     -0.02, 0.4, 0.35, 0.35, 0.34, 0.27, 0.18, 0.05, -0.18, -0.13, 
##     -0.11, -0.11, -0.1, -0.16, -0.35, -0.51, -0.53, -0.56, -0.66, 
##     -0.72, -0.69, -0.22, 0.18, 0.29, 0.37, 0.4, 0.37, -0.03, 
##     -0.29, -0.39, 0.21, 0.63, 0.95, 1.25, 1.53, 1.62, 0.72, 0.72, 
##     0.63, 0.59, 0.51, 0.42, 0.24, 0.21, 0.24, 0.27, 0.53, 0.47, 
##     0.43, 0.39, 0.32, 0.24, 0.1, -0.05, -0.18, -0.21, -0.18, 
##     -0.1, -0.03, -0.03, -0.35, -0.51, -0.56, -0.58, -0.58, -0.48, 
##     -0.4, -0.32, -0.05, -0.66, -0.82, -0.69, -0.61, -0.5, -0.14, 
##     0.08, -0.02, -0.39, -0.72, -0.16, 0.51, 0.58, 0.51, 0.32, 
##     0.11, -0.1, -0.14, 0.06, 0.16, 0.34, 0.39, 0.48, 0.63, 0.72, 
##     0.64, 0.55, 0.35, 0.21, 0.43, 0.53, 0.8, 0.8, 0.63, 0.08, 
##     -0.18, -0.21, -0.22, -0.19, -0.13, -0.27, -0.42, -0.48, -0.55, 
##     -0.67, -0.87, -0.96, -0.66, -0.48, -0.18, -0.03, -0.67, -0.66, 
##     -0.71, -0.37, -0.35, -0.32, -0.16, -0.24, -0.48, -0.27, -0.24, 
##     -0.19, -0.16, -0.21, -0.27, -0.29, -0.1, -0.1, -0.05, 0, 
##     0.06, 0.96, 0.96, 0.96, 0.74, 0.21, -0.02, -0.29, -0.63, 
##     -0.42, 0.58, 0.56, 0.5, 0.43, 0.51, 0.55, 0.24, 0.11, 0.13, 
##     0.35, 0.31, 0.26, 0.14, -0.24, -0.31, -0.34, -0.35, -0.37, 
##     -0.35, -0.48, -0.56, -0.56, -0.61, -0.66, -0.67, -0.63, -0.58, 
##     -0.5, -0.48, -0.51, -0.92, -0.87, -0.67, -0.1, -0.18, -0.56, 
##     -1.46, -1.16, -0.26, -0.18, 0, -0.06, -0.55, -0.72, -0.64, 
##     -0.48, -0.08, 0.02, 0.16, 0.35, 0.59, 0.74, 0.75, 0.79, 0.4, 
##     0.27, 0.18, 0.1, 0.31, 0.42, 0.67, 0.75, 0.71, 0.79, 1.32, 
##     1.41, 0.58, 0.03, -0.22, 0.75, 0.75, 0.67, 0.75, 0.16, -0.13, 
##     -0.48, -0.4, -0.34, -0.47, -0.48, -0.53, -0.72, -0.83, -0.87, 
##     -0.75, -0.63, -0.56, -0.48, -0.29, 0.18, -0.08, -0.21, -0.24, 
##     -0.27, -0.67, -0.98, -0.96, -0.93, -0.88, -0.8, -0.21, -0.21, 
##     -0.27, -0.29, -0.19, -0.13, -0.16, -0.19, -0.22, -0.11, -0.08, 
##     -0.1, -0.18, -0.21, -0.18, 0.05, 0.32, 0.34, 0.19, 0.1, 0.03, 
##     -0.03, -0.37, -0.59, -0.58, -0.53, -0.4, -0.31, -0.26, -0.31, 
##     -0.34, -0.34, -0.39, -0.27, -0.31, -0.35, -0.42, -0.43, -0.43, 
##     -0.34, -0.22, -0.16, -0.14, -0.08, -0.06, -0.06, -0.13, -0.08, 
##     0.03, 0.08, 0.06, 0.14, 0.24, 0.48, 0.42, 0.43, 0.39, 0.21, 
##     -0.03, -0.19, -0.43, 0.06, 0.1, 0.11, -0.03, -0.14, 0.16, 
##     0.14, 0.1, 0, -0.11, -0.18, -0.19, -0.51, -0.51, -0.5, -0.4, 
##     -0.16, 0.08, 0, -0.18, -0.35, -0.34, -0.1, -0.05, -0.06, 
##     -0.16, -0.26, -0.55, -0.53, -0.64, -0.56, -0.5, 0.08, 0.13, 
##     0.03, -0.14, -0.69, -0.58, -0.55, -0.47, -0.26, -0.05, 0.1, 
##     0.13, -0.08, -0.24, -0.32, -0.21, -0.08, -0.1, -0.27, -0.26, 
##     -0.26, -0.37, -0.14, -0.11, -0.05, -0.1, -0.1, -0.16, -0.27, 
##     -0.21, -0.02, 0.02, -0.02, -0.1, -0.31, -0.35, -0.37, -0.03, 
##     -0.06, -0.1, -0.14, -0.4, -0.42, -0.48, -0.51, -0.56, -0.43, 
##     -0.27, -0.18, -0.13, -0.18, -0.22, 0, 0.03, 0.08, -0.02, 
##     -0.06, -0.34, -0.34, -0.34, -0.03, -0.06, 0.06, 0.08, 0.02, 
##     -0.1, 0.02, 0.11, 0.14, 0.13, -0.13, -0.21, -0.34, -0.35, 
##     -0.16, -0.02, -0.18, -0.69, -0.9, -0.92, -0.53, -0.4, -0.26, 
##     -0.14, -0.1, -0.14, -0.27, -0.35, -0.19, -0.08, 0.08, 0.14, 
##     0.03, -0.06, -0.18, -0.26, -0.42, -0.11, -0.06, 0, -0.05, 
##     -0.26, -0.16, -0.27, -0.32, -0.18, -0.08, 0.11, 0.16, 0.11, 
##     0.02, -0.13, -0.14, -0.1, -0.08, -0.06, -0.67, -0.56, -0.29, 
##     -0.31, -0.53, -0.72, -0.69, -0.22, 0.11, -0.13, -0.19, -0.18, 
##     -0.1, 0.14, 0.18, 0.18, 0.21, 0.16, 0.16, 0.22, 0.14, 0.1, 
##     0.13, 0.06, 0.06, -0.03, 0.08, 0, 0.05, -0.05, -0.08, -0.21, 
##     -0.24, -0.24, -0.32, -0.39, -0.83, -1, -1.24, -1.28, -1.22, 
##     -1.11, -0.85, -0.47, -0.32, 0, -0.29, -0.72, -0.64, -0.29, 
##     -0.1, 0.21, 0.4, 0.22, 0.16, 0, -0.11, -0.27, -0.11, 0.03, 
##     0.13, 0.27, 0.35, 0.35, 0.27, 0.22, 0.21, 0.03, -0.39, -0.37, 
##     -0.66, 0.02, 0, -0.14, -0.21, -0.39, -0.39, -0.32, -0.39, 
##     -0.47, -0.58, -0.95, -1.3, -1.57, -1.4, -1.24, -0.71, -0.5, 
##     -0.4, -0.24, -0.24, -0.21, -0.13, -0.03, 0.08, 0.53, 0.53, 
##     0.5, 0.53, 0.5, 0.5, 0.55, 0.34, 0.14, 0.08, 0.13, 0.26, 
##     0.31, 0.35, 0.31, -0.06, 0, -0.06, -0.11, -0.1, -0.14, -0.26, 
##     -0.34, -0.26, -0.19, -0.11, -0.19, -0.32, -0.47, -0.66, -0.85, 
##     -0.98, -1.11, -1.22, -1.57, -1.25, -0.85, -0.69, -0.32, -0.29, 
##     -0.42, -0.22, 0.1, 0.21, 0.31, 0.4, 0.45, 0.43, 0.39, 0.4, 
##     0.43, 0.29, 0.16, -0.03, -0.42, -0.61, -0.63, -0.59, -0.32, 
##     -0.22, -0.16, 0, -0.11, -0.26, -0.42, -0.55, -1.04, -1.28, 
##     -1.33, -1.41, -2.52, -2.63, -2.7, -2.76, -2.84, -2.65, -2.2, 
##     -2.1, -2.01, -1.96, -1.83, -1.56, -1.33, -1.04, -0.32, -0.16, 
##     -0.02, 0.21, 0.24, 0.21, 0.11, -0.24, -0.39, -0.4, -0.39, 
##     -0.31, -0.19, -0.14, -0.1, -0.13, -0.26, -0.27, -0.27, -0.22, 
##     -0.19, -0.19, -0.19, -0.21, -0.21, -0.21, -0.19, -0.19, -0.19, 
##     -0.19, -0.19, -0.18, -0.18, -0.16, 0.16, 0.79, 0.95, 1.01, 
##     1.06, 1.11, 1.11, 0.88, 0.67, 0.51, 0.26, 0.14, -0.02, -0.03, 
##     -0.02, 0.05, 0.03, 0.03, 0.02, 0.02, 0.03, 0.02, -0.03, 0.03, 
##     0.03, 0.05, 0.03, 0.02, 0.03, 0.02, 0.02, 0.03, 0.06, 0.06, 
##     0.03, 0.05, 0.03, 0.02, 0.03, 0.03, 0.02, 0, 0.02, 0, 0.06, 
##     -0.19, -0.21, -0.05, -0.13, -0.13, 0.05, 0.02, 0.06, -0.05, 
##     0.05, 0.22, 0.35, 1.09, 1.03, 0.85, 0.69, 0.63, 0.77, 0.82, 
##     0.67, 0.27, 0.27, 0.4, -0.31, -0.5, -0.5, -0.92, -1.12, -1.16, 
##     -1.3, -1.3, -1.06, -1.51, -1.64, -1.43, -1.64, -0.95, -0.77, 
##     -0.71, -0.55, 0.79, 1.04, 1.14, 1.17, 1.17, 1.3, 0.93, 0.93, 
##     1.27, 1.12, 1.12, 1.01, 0.96, 0.82, 0.71, 0.82, 0.71, 0.42, 
##     0.5, 0.5, 0.48, 0.48, 0.31, 0.31, -0.11, -0.39, -0.47, -0.51, 
##     -0.45, -0.56, -0.98, -1.3, -1.54, -1.27, -1.27, -1.06, -1.19, 
##     -1.35, -1.69, -1.86, -0.75, -0.67, 0.05, 0.4, 0.5, 0.58, 
##     0.82, 1.3, 1.36, 1.41, 1.19, 0.9, 1.01, 1, 0.93, 0.85, 0.95, 
##     0.21, 0.21, 0.16, 0.29, 0.27, 0.08, -0.11, -0.61, -1.03, 
##     -1.3, -1.25, -1.49, -1.24, -1.12, -0.9, -0.9, -0.9, -1.03, 
##     -0.59, -0.66, 0.14, 0.27, 0.48, 1.14, 1.35, 1.35, 1.35, 1.24, 
##     1.17, 1.14, 1, 0.93, 0.92, 1.08, 1.06, 1.04, 0.77, 1.01, 
##     1.11, -0.27, -0.37, -0.37, -0.56, -0.61, -0.5, -0.79, -1.2, 
##     -1.4, -1.16, -1.22, -1.01, -1.08, -1.59, -0.79, -0.88, -1.09, 
##     -0.77, 0.05, 0.43, 0.9, 1.09, 1.16, 1.16, 1.32, 1.09, 0.58, 
##     0.5, 0.5, 0.34, 0.31, 0.39, 0.39, 0.45, 0.34, 0, -1.03, -0.58, 
##     -1.17, -0.8, -0.98, -0.83, -0.98, -0.82, -1.36, -1.08, -0.63, 
##     -1.14, -1.56, -1.27, -0.5, -0.35, -0.14, 0.27, 0.55, 0.61, 
##     0.67, 0.85, 1.03, 1.27, 1.45, 1.41, 1.4, 1.35, 1.35, 1.2, 
##     1.04, 1.06, 1.25, 1.2, 1.27, 0.92, 0.79, 0.79, 0.79, 0.58, 
##     0.22, -0.03, -0.14, -0.24, -0.22, -0.19, -0.26, -0.88, -0.98, 
##     -1.09, -1.43, -1.38, -1.54, -1.12, -1.51, -1.19, -1.08, -1.22, 
##     -1.17, -1.38, -1.19, -1.01, -0.47, -0.05, 0.24, 0.95, 1.08, 
##     1.48, 1.54, 1.59, 1.46, 1.19, 1.06, 0.98, 0.9, 0.82, 0.69, 
##     0.59, 0.24, 0.08, -0.18, -0.37, -0.51, -0.64, -0.85, -1.22, 
##     -1.49, -1.54, -1.73, -1.32, -1.14, -1.09, -1.27, -1.22, -1.7, 
##     -1.38, -0.88, -0.26, -0.05, 0.21, 0.92, -1.86, -1.45, -1.51, 
##     -1.28, -0.8, -0.56, -0.26, 0.45, 0.66, 1.03, 1.27, 1.43, 
##     1.56, 1.24, 1.24, 1.22, 1.17, 1.14, 1.45, 0.14, 0.43, -0.21, 
##     -0.5, -0.58, -0.83, -0.9, -1.01, -1.03, -1.33, -0.75, -0.83, 
##     -1.03, -0.82, -0.87, -1.45, -1.61, -1.16, -0.61, -1.4, -1.14, 
##     -1.12, -1.01, -1.16, -0.27, 0.02, 0.45, 0.39, 0.37, 0.63, 
##     0.64, 0.35, 0.24, -0.02, 0.05, 0.03, -0.02, 0, 0, 0.02, 0, 
##     -0.03, -0.05, 0.05, 0.1, 0.08, 0.1, 0.1, 0.08, 0.05, 0.05, 
##     0.11, 0.02, 0.02, 0, 0.1, -0.03, 0.02, 0, -0.03, -0.02, -0.02, 
##     -0.02, -0.02, -0.03, -0.03, -0.06, -0.02, 0.03, 0.03, 0, 
##     -0.02, 0, -0.02, -0.02, -0.06, -0.08, -0.02, 1.17, 1.27, 
##     1.33, 1.3, 1.19, 0.96, 0.82, 0.79, 0.71, 0.79, 0.92, 1.04, 
##     1.17, 1.17, 1.04, 0.87, 0.88, 0.9, 0.96, 0.98, 1.11, 1.09, 
##     1.01, 1.01, 1.04, 1.01, 0.95, 0.98, 0.98, 0.98, 0.95, 1.03, 
##     1.01, 1.11, 1.08, 0.98, 1.01, 1.16, 1.11, 1, 0.83, 0.85, 
##     0.82, 0.95, 1.06, 1.04, 0.9, 0.98, 0.92, 0.93, 1.03, 1.03, 
##     1.06, 1.12, 1.09, 1.08, 1.08, 1.06, 1.04, 1.03, 1.01, 1.01, 
##     1.01, 1.01, 1.01, 1.01, 0.96, 1.01, 1.16, 1.17, 1.12, 0.98, 
##     0.96, 0.96, 0.93, 0.9, 1.04, 1.08, 1.12, 1.09, 1.04, 1.08, 
##     0.96, 0.95, 0.92, 0.92, 0.95, 0.87, 0.74, 0.74, 0.75, 0.8, 
##     0.74, 0.79, 0.85, 0.96, 0.88, 0.82, 0.9, 1, 0.75, 0.75, 0.79, 
##     0.67, 0.83, 1, 1.06, 1.08, 1.01, 0.88, 1.01, 1.2, 1.09, 1.03, 
##     1, 1, 1, 1, 1, 1.03, 1.11, 1.17, 1.19, 1.16, 1.04, 0.98, 
##     0.98, 1.04, 1.16, 0.93, 0.98, 0.95, 0.88, 0.93, 0.92, 0.83, 
##     0.85, 0.88, 0.88, 0.92, 0.95, 0.96, 0.98, 0.95, 0.92, 0.92, 
##     0.88, 0.82, 1, 1, 0.93, 0.9, 0.74, 0.77, 0.72, 0.9, 0.95, 
##     0.9, 0.93, 0.96, 0.98, 1.03, 1.09, 1.11, 1.16, 1.06, 0.96, 
##     0.98, 1.03, 1.04, 1.04, 1.06, 1.09, 1.17, 1.36, 1.27, 1.12, 
##     1.01, 0.98, 1.09, 1.16, 1.06, 1, 0.98, 0.96, 1.08, 0.93, 
##     1, 1.08, 1.09, 1.09, 1.11, 1.09, 1, 0.82, 0.79, 0.77, 0.82, 
##     0.88, 1, 0.96, 0.9, 0.85, 0.8, 0.74, 0.71, 0.71, 0.66, 0.63, 
##     0.87, 0.8, 0.79, 0.8, 0.8, 0.77, 0.88, 1.08, 1.36, 1.22, 
##     0.87, 0.92, 1.06, 1.11, 1.08, 1.12, 1.19, 1.19, 1.12, 1.09, 
##     1.06, 0.93, 0.9, 1.01, 1.08, 1.04, 1.01, 0.92, 0.88, 1.06, 
##     1.08, 0.69, 0.66, 0.85, 0.74, 0.74, 0.96, 0.8, 0.53, 0.67, 
##     1.01, 0.87, 1.19, 0.96, 0.92, 0.92, 1.01, 1.12, 1.16, 1.16, 
##     1.19, 1.19, 1.03, 0.98, 0.98, 0.98, 1, 1.01, 1.04, 0.92, 
##     1.06, 1.11, 1.16, 1.06, 1.03, 1.06, 1.09, 0.92, 0.71, 0.79, 
##     0.83, 0.85, 0.87, 0.96, 0.95, 0.85, 0.77, 1, 0.96, 0.95, 
##     0.88, 0.9, 0.92, 0.95, 0.96, 0.98, 0.98, 0.98, 0.9, 0.53, 
##     0.43, 0.24, -0.29, -0.35, -0.37, -0.5, -0.66, -0.77, -0.63, 
##     -0.47, -0.42, -0.16, 0.11, 0.56, 1.04, 1.09, 1.17, 1.09, 
##     0.95, 1.04, 0.96, 0.82, 0.77, 0.69, 0.79, 0.87, 0.87, 0.83, 
##     1.08, 1.09, 1.11, 1.12, 1.14, 1.12, 0.93, 0.92, 0.9, 1, 1.09, 
##     1.2, 1.14, 1.09, 1.01, 0.96, 0.95, 0.9, 0.88, 0.83, 0.83, 
##     0.85, 0.88, 0.88, 0.95, 1, 1.01, 1.03, 1.01, 0.93, 0.9, 0.9, 
##     0.9, 0.93, 0.95, 0.95, 1.06, 1.11, 1.12, 1.11, 1.12, 1.16, 
##     1.22, 1.2, 1.17, 1.14, 1.09, 1.08, 1, 0.98, 1.01, 0.96, 0.95, 
##     0.82, 1.08, 1.08, 1.36, 1.41, 1.41, 1.36, 1.4, 1.33, 1.12, 
##     1.11, 1.01, 1.03, 1.06, 1.06, 1.14, 1.03, 1.03, 1.16, 1.24, 
##     1.33, 1.41, 1.48, 1.51, 1.54, 1.45, 1.45, 1.4, 1.41, 1.06, 
##     1.01, 0.98, 0.79, 0.79, 0.79, 0.74, 0.64, 0.55, 0.43, 0.37, 
##     0.34, 0.29, 0.55, 0.43, 0.39, 0.02, -0.19, 0.05, 0.48, 0.8, 
##     1.59, 2.09, 2.38, 1.72, 0.93, 0.92, 1.09, 1.04, 1.11, 1.36, 
##     1.2, 1.11, 1.16, 1.22, 0.27, 0.26, 0.29, 0.31, 0.43, 0.47, 
##     0.37, 0.4, 0.35, 0.5, 0.42, 0.31, 0.32, 0.47, 0.75, 0.59, 
##     0.59, 0.58, 0.85, 0.92, 0.96, 0.98, 1.03, 1.03, 1, 0.96, 
##     0.98, 0.98, 0.98, 1, 1.04, 1.17, 1.3, 1.35, 1.36, 1.43, 1.45, 
##     1.41, 1.48, 1.51, 1.49, 1.43, 1.35, 1.2, 1.12, 1.03, 1.04, 
##     1.06, 1.12, 1.12, 1.08, 1.03, 1, 1.04, 1.16, 0.92, 0.85, 
##     0.87, 0.98, 1.01, 1.03, 0.98, 0.92, 0.87, 0.69, 0.64, 1.27, 
##     1.38, 1.06, 0.9, 0.64, 0.98, 1.24, -0.26, -1.06, -1.28, -1.27, 
##     -1.38, -1.32, -1.2, -1.3, -0.92, -0.87, -0.59, -0.26, -0.16, 
##     -0.43, -0.22, -0.05, -0.18, -0.42, -0.35, 0.32, 0.37, 0.34, 
##     0.19, 0.13, 0.93, 0.85, -0.75, -0.69, -0.61, 0.13, 0.31, 
##     0.39, 0.4, 0.13, 0.29, 0.42, 0.55, 0.66, 0.75, 0.88, 0.9, 
##     0.92, 1, 1.01, 1.04, 0.95, 0.87, 1.04, 1.12, 1.16, 1.09, 
##     1.08, 0.98, 1.06, -0.35, -0.75, -0.93, -1, -1.04, -1.16, 
##     -1.53, -1.45, -1.33, -1.25, -1.25, -0.74, -0.22, -0.27, -0.77, 
##     -0.98, -1.14, -0.98, -0.88, -0.22, -0.16, 0.06, 0.35, 0.5, 
##     0.63, 0.98, 1, 0.61, 0.26, 0.18, 0.34, 0.59, 0.42, 0.35, 
##     0.22, 0.35, 0.85, 1.06, 1.73, 1.48, 1.12, 0.72, 0.31, 0.14, 
##     0.53, 0.26, 0.16, 0.16, -1.19, -1.56, -1.7, -1.78, -1.93, 
##     -1.67, -1.27, -1.27, -0.13, 0.16, 0.69, 0.61, 0.18, -0.96, 
##     -1.27, -1.33, -1.03, -0.19, 0.82, 0.74, 0.63, 0.47, 0.4, 
##     0.27, 0.03, -0.56, -0.67, -0.56, -0.42, -0.59, -0.67, -0.63, 
##     -0.37, 0.06, 0.27, 0.39, 0.58, 1.08, 1.04, 0.75, 0.39, 0.06, 
##     -0.05, 0.31, 0.77, 0.88, 0.85, 0.16, 0.18, 0.1, -0.64, -1.2, 
##     -1.27, -1.32, -1.27, 0.21, 0.69, 0.92, 1.11, 0.9, 0.72, 0.5, 
##     0.39, 0.08, 0.16, 0.29, 0.35, 0.48, 0.63, 0.69, 0.74, 0.75, 
##     0.64, 0.55, 0.53, 0.59, 1.03, 1.09, 1.16, 0.96, 0.4, -0.69, 
##     -0.9, -0.82, -0.88, -1.12, -1.25, -0.85, -0.64, -0.47, 0.24, 
##     0.13, 0.77, -0.77, -0.63, -1.19, -1.8, -0.85, -0.79, -0.8, 
##     -0.83, -0.8, -1.57, -1.56, -0.37, 0.02, 0.24, 0.74, 0.24, 
##     0.32, 0.32, -0.03, -0.26, -0.21, -0.02, 0.02, 0.08, 0.34, 
##     0.31, 0.18, 0.08, 0.03, -0.24, -0.19, -0.06, 0, 0.19, 0.14, 
##     0.08, 0.1, 0.02, 0.1, 0.06, -0.08, -0.08, -0.06, -0.02, -0.05, 
##     -0.11, -0.11, -0.1, -0.06, -0.1, -0.03, 0, 0, 0.03, 0.03, 
##     0.08, 0.11, 0.18, 0.21, 0.21, 0.16, 0.02, -0.05, -0.1, -0.03, 
##     -0.05, -0.1, -0.1, -0.03, -0.02, 0.05, 0.14, 0.06, -0.03, 
##     -0.03, 0.05, 0.1, 0.08, 0.08, 0.03, 0, -0.06, 0.18, 0.13, 
##     0.13, 0.13, 0.1, -0.03, -0.02, -0.1, -0.64, -0.61, -0.5, 
##     -0.24, -0.13, -1.65, -1.86, -1.32, -0.75, -0.63, -0.77, -0.48, 
##     -0.59, -0.61, -0.5, -0.22, 0, 0.27, -0.56, -0.63, -0.56, 
##     -0.14, -0.16, -0.24, -0.27, -0.26, -0.19, -0.08, -0.06, -0.02, 
##     0.02, -0.02, -0.02, 0.02, 0.05, 0.03, 0.02, -0.03, -0.1, 
##     -0.02, 0, -0.02, -0.03, -0.02, -0.06, 0.03, 0.13, 0.47, 0.72, 
##     0.74, 0.75, 0.79, 0.82, 0.98, 1, 0.93, 0.8, 0.74, 0.74, 0.69, 
##     0.71, 0.58, 0.42, 0.32, 0.14, -0.19, -0.35, -0.77, -0.92, 
##     -0.98, -1.46, -1.3, 1.12, 1.12, 1.38, 1.59, 1.54, 1.53, 1.45, 
##     1.4, 1.4, 1.41, 1.41, 1.48, 1.35, 1.08, 0.85, 0.64, 0.47, 
##     0.47, 0.4, 0.5, -0.03, -1.12, -1.67, -1.7, -1.78, -1.38, 
##     -0.21, -0.1, -0.42, -0.42, -0.35, -0.42, -0.5, -0.5, -0.5, 
##     -0.34, -0.1, 0, 0.05, 0.1, 0.16, 0.19, 0.26, 0.24, 0.24, 
##     0.24, 0.14, 0.14, 0.1, 0.05, 0.08, 0.03, 0.02, 0.03, 0.06, 
##     -0.21, -0.21, -0.19, -0.19, -0.19, -0.21, -0.21, -0.21, -0.21, 
##     -0.21, -0.21, -0.21, -0.21, -0.19, -0.21, -0.19, -0.19, -0.18, 
##     -0.19, -0.21, -0.21, -0.21, -0.85, -1.25, -1.06, -0.8, -0.08, 
##     -0.26, -0.35, 0.06, 0.34, 0.26, 0.22, 0.27, 0.05, 0.02, 0.05, 
##     0.18, 0.14, 0.29, 0.22, 0.14, 0.08, 0.05, 0.03, -0.06, -0.21, 
##     -0.42, -0.45, -0.05, -0.03, 0.05, 0.11, 0, -0.16, -0.24, 
##     -0.34, -0.48, -0.58, -0.66, -0.64, -0.56, -0.45, -0.18, -0.21, 
##     -0.13, -0.14, -0.02, 0, -0.1, -0.13, -0.02, 0.35, -0.05, 
##     -0.61, -1.17, -0.22, 0.13, -0.24, 1.56, 1.67, 1.67, 1.06, 
##     0.85, 0.79, 0.74, 0.67, 0.82, 0.85, 0.92, 0.96, 0.96, 0.85, 
##     0.66, 0.58, 0.61, 0.61, 0.64, 0.58, 0.45, -0.55, -0.83, 0.87, 
##     0.59, 1.11, 1.25, 1.32, 1.32, 0.93, 0.93, 0.83, 0.71, 0.64, 
##     0.87, 0.63, -0.92, -0.92, -1.3, -1.38, -1.45, -1.7, -1.72, 
##     -1.77, -0.92, -0.75, -0.26, -0.11, 0.1, 0.42, 0.5, 0.64, 
##     0.96, 1.01, 0.61, 0.67, 0.69, 0.66, 0.43, 0.83, 0.43, 0.02, 
##     -1.53, -1.67, -1.54, -1.12, -0.8, -0.4, 0.88, 1.03, 1.16, 
##     1.11, 0.92, 0.59, 0.59, 0.64, 1.04, 1.12, 1, 0.58, 0.43, 
##     0.42, 1.17, 1.09, 0.48, -0.82, -1.4, -1.49, -1.53, -1.48, 
##     -1.61, -1.49, -1.16, -0.51, -0.55, -0.59, -0.42, -0.26, -0.1, 
##     -0.24, -0.5, -0.32, -0.06, 0.58, 0.88, 0.87, 0.58, 0.27, 
##     0.08, -0.14, -0.06, 0.24, 0.26, 0.48, 1.03, 1.17, 1.36, 1.28, 
##     -0.27, -0.27, -0.21, -0.26, -0.18, 0.05, 0.31, 0.34, 0.29, 
##     0.06, -0.24, -0.14, 0.21, -0.29, -0.43, -0.51, -0.53, -0.29, 
##     -0.16, -0.13, -0.1, 0.05, 0, -0.08, -0.51, -0.34, -0.08, 
##     0.37, 0.61, 0.37, 0.22, 0.11, -0.02, -0.31, -0.75, -0.79, 
##     -0.64, 0.29, 0.4, 0.42, 0.39, 0.27, 0.06, -0.24, -0.4, -0.59, 
##     -0.64, -0.74, -0.77, -0.56, -0.14, -0.64, -0.14, -0.11, -0.24, 
##     0.27, 0.58, 0.58, 0.48, 0.35, 0.21, 0.1, -0.06, -0.13, -0.18, 
##     -0.13, -0.14, -0.03, 0.31, 0.29, -0.16, -0.43, -0.13, 0.1, 
##     0.19, 0.29, 0.39, 0.29, 0.08, -0.05, 0.08, 0.02, -0.08, 0.02, 
##     0.14, 0.29, 0.24, -0.05, -0.43, -0.56, -0.66, -0.83, -0.98, 
##     -0.42, 0.32, 0.5, 0.4, 0.16, 0.08, 0.08, 0.08, -0.61, -0.67, 
##     0.19, 0.22, 0.51, 0.4, 0.61, 0.71, 1.09, 1.2, 1.27, 1.33, 
##     1.4, 1.38, 1.38, 1.46, 1.38, 1.36, 1.33, 1.51, 1.75, 1.73, 
##     1.59, 1.54, 1.48, 1.38), gyros_forearm_y = c(0, 0, -0.02, 
##     -0.02, 0, -0.02, 0, -0.02, 0, 0, -0.02, 0.02, 0, -0.02, -0.02, 
##     0, -0.02, 0, 0, -0.02, -0.03, -0.03, -0.02, -0.03, -0.03, 
##     0, 0, 0.02, -0.02, -0.02, 0, 0, -0.02, 0, 0, 0.02, 0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0.02, -0.02, -0.02, 
##     0, 0, 0, -0.02, 0, 0, -0.02, -0.03, -0.02, -0.03, -0.02, 
##     -0.03, -0.02, -0.03, -0.03, -0.02, -0.02, 0, 0, -0.02, 0, 
##     -0.02, -0.02, 0, 0.03, 0.05, 0.05, 0.02, 0, 0, -0.02, -0.03, 
##     -0.02, -0.02, -0.03, -0.06, -0.05, -0.05, -0.02, -0.02, -0.03, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, 
##     -0.03, 0.02, 0.02, 0, 0.02, 0.02, 0, 0.02, 0, -0.02, -0.02, 
##     0, 0, 0.02, 0, 0, 0, 0, -0.06, -0.02, -0.03, 0, 0.02, -0.03, 
##     -0.02, -0.02, -0.02, 0.02, 0, -0.02, 0, 0, -0.02, -0.02, 
##     0.02, 0.02, -0.02, 0, 0, -0.02, -0.02, 0, 0, 0, 0, -0.02, 
##     0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 0, 0, 
##     -0.02, 0, -0.02, 0, 0, -0.02, -0.03, -0.02, -0.02, 0, -0.03, 
##     -0.02, 0, -0.03, -0.03, -0.02, -0.03, -0.03, -0.06, -0.1, 
##     -0.05, -0.08, -0.03, 0.02, -0.06, 0, 0.05, 0, -0.05, 0, -0.05, 
##     -0.05, -0.03, -0.03, 0, 0, 0.02, 0.05, 0.03, 0, 0.02, 0.02, 
##     0, 0, -0.02, 0, -0.03, -0.05, -0.1, 0.03, -0.02, 0.02, 0.03, 
##     0.05, 0, 0, 0.02, 0.03, 0.02, -0.02, -0.03, 0.03, 0.06, 0.05, 
##     0.08, 0.06, 0.08, 0.06, 0, -0.08, -0.03, -0.06, 0.02, 0.1, 
##     0.11, 0.1, 0.06, 0.11, 0.11, 0.11, 0.14, 0.1, 0.1, 0.13, 
##     0.1, 0.03, 0, 0.02, -0.02, -0.13, -0.14, -0.16, -0.16, -0.13, 
##     -0.18, -0.1, -0.1, -0.16, -0.13, -0.06, -0.16, -0.06, -0.02, 
##     -0.08, -0.18, -0.11, -0.11, -0.1, 0.03, 0.1, 0.22, 0.29, 
##     0.29, 0.32, 0.26, 0.26, 0.32, 0.21, 0.16, 0.14, 0.19, 0.27, 
##     0.29, 0.31, 0.21, 0.08, 0.02, -0.03, -0.1, -0.13, -0.19, 
##     -0.37, -0.29, -0.27, -0.29, -0.22, -0.21, -0.21, -0.21, -0.21, 
##     -0.21, -0.11, -0.26, -0.16, -0.1, -0.05, 0.05, 0.06, 0.11, 
##     -0.06, 0.22, 0.18, 0, -0.08, -0.02, 0, 0.03, 0.05, 0.1, 0.03, 
##     0.06, 0.05, -0.03, 0.02, 0.05, 0.03, -0.02, -0.03, 0.02, 
##     -0.03, -0.05, 0.05, 0.06, 0.08, -0.06, 0, 0.02, -0.05, -0.08, 
##     -0.05, -0.03, -0.03, -0.05, -0.06, -0.03, 0, 0.02, 0.02, 
##     0.02, 0.02, -0.14, -0.26, -0.24, -0.14, -0.18, -0.13, -0.14, 
##     -0.11, -0.05, 0.03, 0.02, -0.02, 0, 0.05, 0.03, 0.03, 0.05, 
##     0.05, 0.03, 0.05, 0.03, 0.1, 0.08, 0.03, 0.05, 0.08, 0.06, 
##     0.03, 0.02, 0.03, 0.02, 0, -0.02, 0.02, -0.02, -0.03, 0, 
##     -1.62, -1.72, -1.36, -1.49, -1.65, -2.15, -2.1, -2.09, -2.07, 
##     -1.69, -1.32, 0.11, 0.43, 1.19, 1.36, 1.49, 1.59, 1.78, 1.78, 
##     2.01, 1.91, 1.83, 2.23, 2.44, 1.91, 2.36, 2.65, 2.22, 3, 
##     1.73, 1.57, 1.72, 1.7, 1.65, 1.4, 0.64, 0.31, 0.37, 0.37, 
##     0.27, -0.08, -0.21, -0.31, -0.45, -0.58, -0.74, -1.32, -1.51, 
##     -1.56, -1.59, -1.72, -1.85, -2.07, -2.22, -2.31, -2.26, -2.42, 
##     -2.25, -2.2, -2.31, -2.36, -2.31, -2.47, -2.49, -2.73, -2.81, 
##     -2.86, -2.71, -2.57, -2.68, -2.52, -2.36, -1.83, -1.32, -0.13, 
##     0.64, 1.25, 1.73, 1.88, 1.7, 1.89, 1.88, 1.77, 1.73, 1.85, 
##     1.73, 1.72, 1.96, 2.25, 2.3, 2.65, 2.46, 1.88, 1.46, 1.51, 
##     1.53, 1.46, 1.48, 1.19, 0.98, 0.95, 0.98, 0.11, 0, -0.37, 
##     -0.53, -0.58, -0.67, -1.28, -1.38, -1.54, -1.91, -2.02, -2.17, 
##     -2.2, -2.46, -2.59, -2.68, -2.75, -2.63, -2.68, -2.54, -2.5, 
##     -2.31, -2.33, -2.28, -2.12, 1.78, 1.78, 1.85, 1.83, 1.88, 
##     2.07, 1.86, 1.67, 1.49, 1.2, 1.17, 0.87, 0.83, -0.27, -0.37, 
##     -0.48, -0.55, -1.33, -1.38, -1.64, -1.8, -1.77, -1.72, -1.78, 
##     -2.15, -2.3, -2.44, -2.57, -2.52, -2.5, -2.7, -2.67, -2.62, 
##     -2.76, -2.59, -2.59, -2.46, -2.22, 0.27, 1.04, 1.28, 1.49, 
##     1.61, 1.78, 1.94, 1.96, 2.2, 2.06, 2.07, 2.31, 2.41, 2.17, 
##     2.41, 2.52, 2.41, 2.06, 2.14, 1.48, 1.8, 1.72, 1.48, 1.46, 
##     1.8, 1.8, 1.51, 1.53, 0.77, 0.67, 0.59, 0.58, 0.53, 0.34, 
##     -0.03, -0.11, -0.43, -0.77, -2.23, -2.41, -2.42, -2.57, -2.63, 
##     -2.76, -2.83, -2.71, -2.79, -2.68, -2.63, -2.55, -2.41, -1.03, 
##     -0.32, 1, 0.03, -0.1, -0.31, -0.53, -1.32, -1.59, -2.06, 
##     -2.17, -2.17, -2.18, -2.38, -2.71, -2.68, -2.73, -2.7, -2.59, 
##     -2.55, -2.52, -2.38, -2.46, -2.47, -2.7, -2.83, -2.92, -2.54, 
##     -2.18, -1.49, -1.16, 0.31, 0.26, 0.06, 0.08, -0.39, -0.56, 
##     -1.17, -1.53, -1.69, -1.83, -1.91, -2.25, -2.41, -2.57, -2.99, 
##     -2.79, -2.89, -2.89, -2.67, -2.63, -2.07, -2.06, 1.94, 2.42, 
##     2.78, 3.07, 2.5, 2.57, 2.7, 2.68, 2.6, -2.39, -2.57, -2.41, 
##     -2.54, -2.59, -2.33, -0.79, -0.18, 0.63, 1.01, 1.86, 2.1, 
##     2.26, 2.15, 2.54, 2.49, 2.12, 2.99, 2.28, 1.78, 2.68, 2.26, 
##     1.8, 1.59, 1.49, 1.51, 1.59, 1.28, 1.11, 1.01, 0.8, 0.75, 
##     0.83, 0.66, 0.58, 0.34, -0.14, -0.35, -0.47, -0.47, -0.4, 
##     -0.22, 0.39, 0.59, 0.83, 1.09, 1.17, 1.12, 1.25, 1.43, 1.46, 
##     1.38, 0.9, 0.27, 0.1, -0.02, -0.18, -0.16, -0.16, -0.37, 
##     -0.32, -0.31, -0.14, 0.1, 0.42, 1.14, 1.54, 1.89, 2.01, 1.81, 
##     0.95, 0.75, 0.74, 0.74, 0.61, 0.14, -0.06, -0.21, -0.08, 
##     0.72, 0.85, 1.06, 1, 0.4, 0.22, -0.02, 0.03, 0.19, 0.45, 
##     0.66, 0.85, 1.01, 1.22, 1.43, 1.61, 1.41, 0.87, 0.27, -0.11, 
##     -0.47, -0.42, -0.32, 0.03, 0.18, 0.35, 1.03, 1.41, 1.53, 
##     1.38, 1.24, 0.8, 0.58, 0.34, 0.1, -0.08, -0.24, -0.19, -0.02, 
##     0.45, 0.71, 0.9, 1.16, 1.3, 0.93, 0.69, 0.53, 0.1, -0.03, 
##     -0.11, -0.1, 0.27, 0.45, 0.63, 0.74, 0.85, 1.25, 1.16, 0.8, 
##     0.71, 0.69, 0.47, -0.14, -0.1, 0.4, 0.51, 0.53, 1.14, 1.27, 
##     1.19, 0.87, 0.66, 0.59, 0.51, 0.37, 0.16, 0.13, 0.24, 0.5, 
##     0.53, 0.55, 0.58, 0.58, 0.5, 0.34, 0.18, 0.24, 0.56, 1.38, 
##     1.51, 1.2, 0.45, 0.08, 0.03, -0.02, 0.11, 0.16, 0.32, 0.51, 
##     0.58, 0.69, 0.87, 0.95, 0.95, 1.08, 0.83, 0.35, 0.22, 0.16, 
##     0.16, 0.22, 0.37, 0.51, 0.67, 0.85, 0.9, 0.88, 0.92, 0.92, 
##     0.48, 0.4, 0.02, 0.14, 0.48, 0.88, 0.96, 0.9, 0.9, 0.96, 
##     0.95, 0.83, 0.67, 0.53, 0.43, 0.43, 0.22, 0.18, 0.32, 0.47, 
##     0.55, 0.51, 0.56, 0.64, 0.72, 0.77, 0.74, 0.77, 0.82, 0.9, 
##     0.9, 0.96, 0.4, 0.1, 0, 0.05, 0, 0.03, 0.48, 0.96, 1.12, 
##     1.11, 1.22, 1.83, 1.75, 0.58, 2.42, 2.67, 2.67, 2.59, 2.46, 
##     1.78, 1.8, 1.36, 1.16, 0.96, 0.85, 0.71, 0.77, 0.45, 0.14, 
##     -0.37, -0.47, -0.79, -1.2, -1.62, -1.62, -1.28, -1.27, -1.27, 
##     0.21, 0.27, 0.14, 0.03, 0.03, 0.31, 0.63, 0.72, 0.79, 0.85, 
##     1, 1.03, 0.87, 1.22, 0.35, -0.21, 1.49, 2.17, 1.51, 0.34, 
##     -0.32, -1.22, -1.69, -4.24, -3.2, -4.53, -5.56, 0.06, 0.79, 
##     0.79, 1.86, 2.91, 0.93, 0.92, 0.11, -0.06, -0.22, 0.48, 1.46, 
##     1.41, 1.14, 1.32, 1.45, 1.03, -0.75, -1.65, -2.3, -2.44, 
##     -1.89, -0.85, 0.31, 1.12, 0.88, 0.82, 0.85, 1.03, 1.22, 2.07, 
##     1.89, 1.51, 1, 0.88, 0.9, 0.88, 0.92, 0.74, 0.67, 0.47, 0.4, 
##     0.19, 0.83, 0.4, 0.37, 0.61, 0.9, 0.5, 0.72, 0.85, 0.29, 
##     0.67, 0.83, 0.8, 0.4, 0.11, 0.42, 0.59, 0.26, 0.19, 0.13, 
##     0.08, 0.26, 0.88, 1.41, 1.43, 1.59, 1.08, 0.48, 0.56, 0.51, 
##     0.75, 0.02, 0.08, 0.32, 0.63, 0.48, 0.74, 0.67, 0.61, 0.67, 
##     0.72, 0.32, 0.4, 0.5, 0.61, 0.61, 0.59, 0.59, 0.55, 0.75, 
##     0.63, 0.45, 0.43, 0.63, 0.59, 0.72, 0.53, 0.51, 0.64, 0.4, 
##     0.42, 0.51, 0.55, 0.53, 0.64, 0.22, 0.98, 1.19, 1.06, 0.02, 
##     0.75, 0.13, 0, 0.53, 0.64, 0.56, 0.58, 0.5, 0.43, 0.45, 0.58, 
##     0.59, 0.56, 0.53, 0.47, 0.48, 0.48, 0.5, 0.58, 0.59, 0.53, 
##     0.56, 0.61, 0.58, 0.58, 0.58, 0.51, 0.5, 0.53, 0.55, 0.55, 
##     0.48, 0.51, 0.53, 0.51, 0.58, 0.59, 0.58, 0.58, 0.5, 0.53, 
##     0.34, 0.32, 0.34, 0.31, 0.13, 0.08, 0.18, 0.21, 0.24, 0.5, 
##     0.53, 0.61, 0.88, 0.83, 0.87, 0.85, 0.85, 0.8, 0.59, 0.59, 
##     1.03, 1.08, 1.06, 1.14, 1.14, 1.06, 1.06, 0.96, 0.82, 0.69, 
##     0.74, 0.5, 0.55, 0.55, 0.58, 0.58, 0.55, 0.56, 0.59, 0.66, 
##     0.61, 0.59, 0.66, 0.55, 0.55, 0.58, 0.58, 0.59, 0.53, 0.53, 
##     0.5, 0.42, 0.42, 0.45, 0.5, 0.53, 0.64, 0.72, 0.75, 0.69, 
##     0.59, 0.56, 0.5, 0.59, 0.59, 0.55, 0.56, 0.56, 0.61, 0.53, 
##     0.64, 0.63, 0.67, 0.8, 0.72, 0.37, 0.31, 0.16, 0.13, 0.14, 
##     0.35, 0.29, -0.03, -0.92, -0.95, -1.25, -1.72, -1.85, -2.04, 
##     -2.57, -2.46, -2.49, -2.44, -2.33, -2.15, -2.12, -2.07, 2.71, 
##     2.7, 2.63, 2.84, 2.71, 2.87, 2.76, 2.73, 2.83, 2.59, 2.73, 
##     2.97, 2.76, 2.41, 2.57, 2.3, 2.47, 2.73, 2.42, 2.09, 2.1, 
##     2.3, 1.89, 2.22, 2.25, 2.02, 1.7, 1.78, 1.75, 1.04, 1.04, 
##     0.95, 0.9, 0.93, 0.8, 0.74, 0.72, 0.75, 0.77, 0.61, 0.64, 
##     0.74, 0.75, 0.74, 0.77, 0.58, 0.55, 0.43, 0.24, 0.1, -0.35, 
##     -0.87, -1.14, -1.72, -1.99, -2.59, -2.57, -2.63, -2.42, -2.41, 
##     -2.33, -2.38, -2.25, -2.04, -1.78, -1.75, -1.64, -1.49, -1.24, 
##     -1.08, -1.09, -0.55, -0.47, -0.31, 2.57, 2.52, 1.99, 2.5, 
##     2.2, 2.09, 1.77, 1.86, 1.98, 1.93, 1.73, 1.67, 1.38, 1.46, 
##     1.43, 1.36, 1.53, 1.32, 1.11, 1.11, 1.06, 0.96, 0.92, 0.92, 
##     0.77, 0.83, 0.85, 0.79, 0.79, 0.88, 0.79, 0.69, 0.66, 0.63, 
##     0.47, 0.16, -0.92, -0.96, -1.25, -1.36, -1.7, -2.04, -1.94, 
##     -2.1, -1.96, -1.94, -1.99, -1.83, -1.65, -1.62, -1.49, -0.92, 
##     -0.72, -0.27, -0.21, -0.11, -0.08, -0.08, -0.03, 0.13, 0.31, 
##     0.18, 0.11, 0.21, 0.11, 0.19, 0.21, 0.5, 0.55, 0.9, 0.98, 
##     0.93, 1.38, 1.64, 1.8, 1.85, 2.39, 2.26, 2.36, 2.89, 2.68, 
##     2.6, 3.02, 2.89, 3.02, 3.32, 2.87, 2.6, 2.97, 2.41, 3.02, 
##     2.2, 1.91, 2.3, 1.98, 1.81, 1.99, 1.83, 1.73, 1.7, 1.78, 
##     1.65, 1.57, 1.48, 1.25, 1.25, 1.14, 0.87, 0.72, 0.75, 0.77, 
##     0.77, 0.75, 0.75, 0.75, 0.74, 0.74, 0.47, 0.37, 0.31, 0.32, 
##     0.03, -0.37, -0.59, -0.83, -1.32, -1.61, -1.53, -2.02, -2.2, 
##     -2.17, -2.57, -2.49, -2.49, -2.46, -2.33, -1.89, -1.48, -1.38, 
##     -1.49, -1.38, -0.88, -0.71, -0.64, -0.63, -0.21, 0.21, 0.29, 
##     0.4, 0.71, 0.72, 0.72, 0.93, 0.85, 1, 1.03, 1, 1.4, 1.48, 
##     1.54, 2.02, 2.04, 2.36, 2.3, 2.31, 2.71, 2.57, 2.54, 2.89, 
##     2.78, 2.59, 3, 2.42, 2.42, 2.18, 2.33, 1.91, 1.78, 1.81, 
##     2.12, 1.75, 1.72, 1.99, 1.86, 1.7, 1.67, 1.49, 1.19, 1.19, 
##     1.3, 1.2, 1.16, 0.83, 0.69, 0.59, 0.63, 0.51, 0.42, 0.43, 
##     0.4, 0.02, -1.22, -1.09, -1.28, -1.46, -1.43, -1.62, -1.8, 
##     -2.02, -2.04, -1.93, -1.77, -1.61, -1.59, -1.54, -1.2, -1.17, 
##     -0.92, -0.77, -0.77, -0.14, 2.5, 1.8, 1.64, 1.96, 1.56, 1.22, 
##     1.2, 1.14, 1.32, 1.32, 1.25, 0.98, 0.72, 0.72, 0.74, 0.72, 
##     0.72, 0.69, 0.67, 0.63, 0.69, 0.47, 0.37, 0.11, -0.42, -1.14, 
##     -1.56, -1.86, -1.88, -2.22, -2.38, -2.47, -2.44, -2.22, -2.23, 
##     -2.25, -1.83, -1.69, -1.86, -1.24, -1.25, -1.01, -1.03, -0.79, 
##     -0.74, -0.83, -0.61, -0.72, -0.64, -0.66, -0.51, -0.42, 0.1, 
##     0.18, 0.35, 0.55, 0.58, 0.5, 0.47, 0.58, 0.59, 0.48, 0.42, 
##     0.59, 0.93, 1.32, 1.53, 1.91, 2.41, 3.02, 3.05, 3.1, 2.86, 
##     2.86, 3.08, 3.02, 2.52, 2.86, 2.54, 2.38, 2.46, 2.3, 2.15, 
##     1.93, 1.85, 1.78, 1.96, 2.12, 2.02, -0.48, -0.37, -0.14, 
##     0.32, 0.34, 0.27, 0.29, 0.26, 0.51, 0.53, 0.45, 0.39, 0.48, 
##     0.59, 0.48, 0.53, 0.63, 0.66, 0.58, 0.61, 0.69, 0.75, 0.8, 
##     0.85, 1.04, 1.17, 1.24, 1.3, 1.72, 1.93, 2.22, 2.41, 2.36, 
##     2.57, -0.32, -0.35, -0.31, -0.27, -0.19, -0.16, -0.16, -0.21, 
##     -0.19, -0.21, -0.22, -0.24, -0.26, -0.26, -0.21, -0.21, -0.22, 
##     -0.24, -0.22, -0.21, -0.21, -0.19, -0.19, -0.19, -0.21, -0.22, 
##     -0.22, -0.21, -0.21, -0.21, -0.19, -0.21, -0.19, -0.21, -0.21, 
##     -0.22, -0.22, -0.22, -0.22, -0.24, -0.22, -0.24, -0.22, -0.21, 
##     -0.22, -0.21, -0.21, -0.19, -0.19, -0.18, -0.18, -0.21, -0.21, 
##     -0.21, -0.24, -0.21, -0.21, -0.22, -0.22, -0.22, -0.22, -0.22, 
##     -0.22, -0.22, -0.22, -0.24, -0.26, -0.24, -0.24, -0.22, -0.22, 
##     -0.21, -0.22, -0.21, -0.21, -0.22, -0.21, -0.19, -0.42, -0.45, 
##     -0.43, -0.42, -0.43, -0.4, -0.34, -0.27, -0.19, -0.14, -0.11, 
##     -0.13, -0.24, -0.34, -0.31, -0.35, -0.29, -0.27, -0.26, -0.24, 
##     -0.24, -0.24, -0.26, -0.21, -0.19, -0.19, -0.21, -0.19, -0.1, 
##     0.27, 0.43, 0.8, 1, 1.83, 3.07, 3.05, 2.89, 3.1, 3.24, 3, 
##     2.89, 2.57, 2.5, 2.17, 2.07, 1.93, 1.25, 0.77, 0.34, -0.75, 
##     -1.19, -1.46, -1.48, -1.73, -1.91, -1.86, -1.85, -2.01, -2.17, 
##     -2.18, -2.23, -2.36, -2.47, -2.54, -2.78, -2.68, -2.73, -2.38, 
##     -2.75, -2.7, -2.07, -2.17, -1.83, -1.7, -1.59, -1.53, -1.2, 
##     -1.12, -1.12, -1.24, -1.51, -1.51, -1.35, -0.9, -0.75, -0.67, 
##     -0.61, -0.53, -0.55, -0.47, -0.43, -0.37, -0.31, -0.22, -0.05, 
##     -0.02, 0.63, 0.66, 0.82, 1.65, 1.98, 2.44, 3.03, 3, 3.23, 
##     3.24, 3.34, 3.44, 3.29, 3.28, 3.21, 3.29, 2.99, 2.91, 2.92, 
##     2.67, 2.55, 2.54, 2.47, 2.36, 2.36, 2.57, 2.06, 0.93, -0.58, 
##     -0.79, -2.91, -0.51, -0.59, -0.55, -0.31, -0.21, -0.14, -0.13, 
##     0.03, 0.11, 0.21, 0.67, 0.98, 1.2, 1.35, 1.45, 1.89, 2.01, 
##     2.12, 2.44, 2.81, 2.89, 2.91, 3, 3.12, 3.1, 3.07, 3, 2.94, 
##     3.18, 3.05, 2.87, 2.79, 2.62, 2.26, 2.25, 2.14, -1.03, -1.09, 
##     -1.04, -0.8, -0.55, -0.79, -0.87, -1.91, -2.26, -2.54, -2.63, 
##     -3.02, -3, -3.32, -3.82, -3.69, -3.71, -3.63, -3.77, -3.29, 
##     -3.42, -0.21, -0.08, 0.05, 0.13, 0.21, 0.66, 1.03, 1.61, 
##     2.04, 2.2, 2.39, 2.84, 3.07, 3.13, 3.48, 3.61, 3.85, 3.6, 
##     3.76, 3.66, 2.59, 1.96, 1.77, 0.71, 0.1, -0.47, -1.28, -1.53, 
##     -1.78, -1.89, -2.31, -2.49, -2.94, -3.26, -3.29, -3.55, -3.12, 
##     -3.31, -3.5, -3.23, -3.26, -2.92, -2.62, -2.55, -2.31, -2.33, 
##     -2.14, -3.31, -3.42, -3.13, -2.78, -3.23, -2.78, -2.94, -2.6, 
##     -2.33, -2.54, -2.81, -2.7, -2.2, -2.12, -2.09, -2.04, -1.77, 
##     -1.35, -0.96, -0.75, -0.72, -0.4, -0.32, -0.31, -0.31, -0.18, 
##     -0.05, 0.19, 0.31, 0.56, 1.01, 1.22, 2.1, 2.31, 3.21, 3.32, 
##     3.5, 3.85, 3.77, 3.58, 3.68, 3.77, 3.66, 3.63, 3.5, 3.16, 
##     2.75, 2.39, 2.36, 2.02, 1.96, 1.49, 0.72, 0.1, -0.31, -0.69, 
##     -1.36, -1.51, -1.57, -1.67, -1.73, -2.28, -2.59, -3.05, -3.73, 
##     -3.45, -3.84, -3.5, -3.18, -2.86, -2.5, -2.73, -2.17, -2.22, 
##     -1.93, -1.81, -1.77, -1.72, -1.57, -1.43, -0.74, -0.72, -0.82, 
##     -0.64, -0.43, -0.32, -0.22, -0.22, -0.21, -0.14, -0.1, -0.03, 
##     0.03, 0.03, 0.47, 0.87, 0.93, 1.14, 1.36, 1.69, 1.75, 2.18, 
##     2.73, 3.05, 3.21, 3.4, 3.58, 3.6, 3.52, 3.48, 3.53, 3.45, 
##     3.12, 2.57, 2.59, 2.75, 2.52, 1.77, 0.06, -0.67, -1.06, -1.33, 
##     -1.54, -1.89, -2.41, -2.62, -2.89, -2.99, -3.28, -3.44, -3.21, 
##     -3.31, -3.47, -3.52, -3.68, 0.08, 0.16, 0.58, 0.93, 1.17, 
##     1.45, 2.34, 2.92, 3.13, 3.31, 3.44, 3.53, 3.55, 3.68, 3.82, 
##     3.81, 3.76, 3.82, 3.64, 3.5, 3.32, 3.21, 3.03, 2.94, 3.03, 
##     2.94, 2.76, 2.36, 0.63, -1.08, -2.14, -2.94, -3.15, -3.15, 
##     -3.26, -3.48, -3.5, -3.53, -3.64, -3.53, -2.95, -3, -2.76, 
##     -2.6, -2.63, -2.25, -1.4, -1.08, -0.95, -0.72, -0.51, -0.39, 
##     -0.24, 0.03, 0.21, 0.88, 1.06, 1.24, 1.4, 1.48, 1.54, 1.61, 
##     1.78, 2.07, 2.2, 2.33, 2.75, 2.83, 2.84, 3.23, 3.21, 3.05, 
##     3.24, 3.03, 2.99, 2.97, 2.86, 3.12, 2.91, 2.73, 2.97, 2.92, 
##     2.7, 2.39, 2.33, 0.74, -1.61, -2.67, -3.47, -3.92, -3.84, 
##     -3.44, -3.02, -2.75, -2.89, -2.68, -2.73, -2.57, -2.5, -2.65, 
##     -2.52, -2.33, -2.25, -2.25, -2.17, -2.07, -2.02, -2.04, -2.02, 
##     -1.78, -1.27, -1.27, -1.14, -0.8, -0.75, 0, 0.02, 0.34, 0.48, 
##     1.41, 1.67, 3.55, 3.73, 3.95, 4.43, 2.34, 2.17, 1.45, 0.61, 
##     -1.08, -1.65, -2.04, -2.17, -2.6, -2.65, -3.03, -3.18, -3.21, 
##     -3.24, -3.16, -3.32, -3.28, -3.28, -3.34, -3.24, -3.13, -3.02, 
##     -2.95, -2.92, -2.68, -2.5, -2.41, -2.15, -2.12, -2.12, -2.18, 
##     0.05, 0.08, -0.21, -0.03, 0.26, -0.08, 0.03, 0.16, 0.08, 
##     -0.13, -0.13, 0.02, -0.1, 0.19, 0.06, -0.03, -0.05, 0.05, 
##     0.14, 0.05, -0.1, -0.11, -0.13, -0.13, -0.06, -0.06, -0.1, 
##     -0.26, -0.21, 0.02, -0.08, -0.03, -0.02, -0.05, 0.03, 0.05, 
##     0.02, -0.05, -0.03, -0.06, -0.05, -0.03, -0.02, -0.03, 0, 
##     0.02, 0.02, 0, -0.02, 0, -0.03, 0.02, 0, 0.02, 0.03, 0.05, 
##     0, 0, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.02, 0, 0.02, 0, -0.02, -0.02, 0, 0, 0, 0.02, 
##     0.03, 0.03, -0.03, -0.06, -0.03, 0, -0.02, -0.05, -0.05, 
##     -0.03, 0.02, 0, 0.02, 0.03, 0, -0.03, 0.02, 0.02, -0.02, 
##     -0.03, -0.03, -0.05, -0.02, 0, -0.02, 0, 0, 0, 0.02, 0.02, 
##     0.03, 0.03, 0.02, 0.02, -0.08, -0.05, -0.03, -0.02, -0.02, 
##     -0.03, -0.03, -0.02, -0.03, 0, 0, 0, 0, 0, 0, 0.02, 0, 0, 
##     0, -0.02, 0, -0.02, 0, -0.05, -0.05, -0.02, 0.02, 0, 0.02, 
##     0.03, 0.02, 0.02, 0, 0, 0.02, 0, -0.03, -0.03, -0.02, -0.05, 
##     -0.08, -0.05, -0.05, -0.05, -0.05, -0.03, -0.05, -0.08, -0.05, 
##     -0.02, -0.02, 0, -0.02, 0, 0.02, 0.02, 0.03, 0, 0, 0, 0, 
##     -0.02, 0.02, 0, -0.05, 0, -0.02, -0.02, 0.02, -0.03, -0.03, 
##     -0.02, -0.03, -0.02, 0, 0, -0.02, -0.03, -0.02, -0.03, -0.02, 
##     0.03, 0.05, 0, 0, 0, 0, -0.02, -0.03, -0.02, -0.03, 0, 0.02, 
##     -0.02, -0.05, -0.06, -0.06, 0, 0.02, 0, -0.02, -0.02, -0.03, 
##     -0.02, 0, -0.02, 0, -0.02, -0.06, -0.08, -0.03, 0, 0.02, 
##     0.03, 0.02, 0, -0.03, -0.05, -0.03, -0.03, -0.03, -0.03, 
##     0, 0.03, 0.03, 0, 0.02, 0.03, -0.02, -0.03, -0.06, -0.05, 
##     0.02, 0, -0.02, -0.06, -0.06, -0.03, -0.02, -0.05, -0.05, 
##     -0.03, 0, 0, 0, 0, 0.02, -0.39, -0.14, 0.16, 0.1, -0.03, 
##     -0.06, 0.05, -0.05, -0.08, -0.03, -0.03, -0.1, -0.14, -0.1, 
##     -0.06, -0.08, -0.06, -0.03, -0.02, -0.03, 0, -0.02, -0.03, 
##     0, 0, 0.08, 0.02, -0.02, -0.05, -0.06, -0.03, 0, 0.05, 0, 
##     0.02, -0.03, -0.02, -0.03, 0.02, 0.02, 0.02, -0.03, -0.06, 
##     -0.11, -0.05, -0.02, 0, 0, 0.06, 0.06, 0.06, 0.05, 0.03, 
##     0.05, 0.05, 0.02, -0.02, -0.02, -0.03, -0.03, -0.05, -0.05, 
##     -0.06, -0.05, 0.02, -0.02, 0.03, -0.02, -0.03, 0.03, -0.11, 
##     -0.24, -0.35, 0.05, -0.02, -0.02, 0.1, 0.08, 0.06, 0.02, 
##     0, 0, -0.02, -0.05, -0.02, 0, 0, 0.03, 0.02, 0.03, -0.02, 
##     -0.03, -0.02, -0.03, -0.02, -0.03, -0.02, -0.02, 0, 0, 0, 
##     0, -0.03, 0, -0.02, 0, 0, -0.02, -0.02, -0.02, -0.02, 0, 
##     0, 0, -0.03, -0.02, 0.02, 0.02, 0.02, 0.02, -0.02, 0, -0.02, 
##     0, 0.02, 0.02, 0, -0.02, 0, 0, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.02, 0, 0.02, 0, 0, 0.02, -0.02, 0, -0.02, 0.02, 0, -0.02, 
##     -0.02, -0.02, 0, -0.02, -0.03, -0.03, -0.02, -0.02, 0.02, 
##     0, -0.03, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.05, -0.02, 
##     -0.02, -0.03, -0.05, -0.03, -0.03, -0.03, -0.02, 0.02, -0.02, 
##     0, 0, 0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.05, -0.02, 
##     -0.03, -0.02, -0.02, -0.02, -0.03, -0.02, -0.03, -0.02, -0.02, 
##     -0.03, 0, 0.02, 0, 0.02, 0, 0, -0.03, -0.03, -0.03, -0.03, 
##     -0.03, 0.02, 0.05, 0.03, 0.03, 0.03, -0.02, 0, 0.02, 0.02, 
##     0.03, 0.03, 0, -0.03, -0.03, -0.08, -0.06, -0.05, -0.03, 
##     -0.02, 0.02, 0, 0, 0, -0.02, -0.03, -0.03, -0.08, -0.03, 
##     -0.02, -0.03, -0.06, -0.03, -0.02, -0.03, -0.03, -0.02, -0.03, 
##     -0.02, -0.02, 0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, 
##     0, 0, -0.02, 0, 0.02, 0.02, 0, -0.02, -0.05, -0.03, -0.02, 
##     -0.02, -0.05, -0.03, -0.05, -0.05, -0.06, -0.05, -0.03, 0, 
##     -0.02, -0.03, -0.03, -0.03, -0.02, -0.02, 0, -0.02, 0, 0.03, 
##     0.02, 0.02, 0, 0, -0.03, -0.02, 0.05, -0.05, -0.06, -0.06, 
##     -0.11, -0.13, -0.11, -0.11, -0.05, -0.08, -0.08, -0.06, -0.14, 
##     -0.19, -0.32, -0.47, -0.51, -0.58, -0.69, -0.93, -1.09, -1.32, 
##     -1.32, -1.32, -1.35, -1.38, -1.43, -1.38, -1.49, -1.75, -1.81, 
##     -1.8, -1.85, -1.99, -2.1, -2.23, -2.28, -2.22, -2.42, -2.41, 
##     -2.33, -2.46, -2.47, -2.47, -2.36, -2.23, -2.06, -1.94, -1.94, 
##     -1.89, -1.33, -1.24, -1.09, -0.85, -0.03, 0.1, 0.19, 0.67, 
##     0.74, 0.77, 0.83, 0.88, 0.93, 0.96, 1.08, 1.24, 1.33, 1.45, 
##     1.51, 1.57, 1.75, 1.73, 1.72, 1.83, 2.14, 2.09, 2.04, 2.17, 
##     2.26, 2.28, 2.57, 2.36, 2.55, 2.49, 2.28, 2.28, 2.36, 2.07, 
##     2.12, 2.23, 1.8, 1.19, 1.14, 1.17, 1.17, 0.96, 0.82, 0.79, 
##     0.79, 0.63, 0.51, 0.26, 0.16, 0.05, -0.29, -0.43, -0.69, 
##     -0.93, -1.2, -1.36, -1.46, -1.62, -2.07, -2.33, -2.36, -2.47, 
##     -2.5, -2.78, -2.75, -2.73, -2.62, -2.73, -2.91, -2.89, -2.79, 
##     -2.68, -1.98, -1.99, -1.61, -1.35, -0.35, 0.05, 0.83, 1.8, 
##     1.77, 1.81, 1.75, 1.7, 1.7, 1.64, 1.81, 1.96, 2.09, 2.33, 
##     2.42, 2.41, 2.44, 2.31, 2.25, 2.38, 2.18, 2.22, 2.31, 1.93, 
##     1.98, 1.91, 1.78, 1.91, 2.02, 1.89, 1.56, 1.41, 1.03, 0.45, 
##     -0.88, -1.17, -1.46, -1.96, -2.25, -2.5, -3.1, -3.21, -3.42, 
##     -3.31, -3.2, -2.94, -2.97, -3, -2.94, -2.83, -2.73, -2.62, 
##     -2.3, -2.04, -1.54, 0.87, 1.14, 1.49, 2.34, 2.34, 2.36, 2.46, 
##     2.49, 2.67, 2.71, 2.78, 2.86, 2.78, 2.87, 2.84, 2.78, 2.75, 
##     2.47, 2.22, 2.41, 2.46, 2.38, 2.38, 2.18, 1.73, 1.43, 0.8, 
##     0.58, 0.4, -0.29, -0.79, -1.49, -1.73, -1.86, -2.36, -2.39, 
##     -3.03, -3.31, -3.31, -3.31, -3.32, -3.08, -3.03, -2.95, -2.86, 
##     -2.86, -2.97, -2.87, -2.87, -2.95, -2.91, -2.79, -2.75, -2.75, 
##     -2.46, -1.41, 0.11, 0.92, 0.93, 1.46, 1.91, 2.07, 2.22, 2.22, 
##     2.33, 2.39, 2.55, 2.67, 2.41, 1.81, 2.04, -2.7, -2.7, -2.75, 
##     -3.4, -1.83, 0.35, 0.83, 1.24, 1.57, 1.91, 2.25, 2.81, 2.94, 
##     3.05, 3.29, 3.24, 3.16, 3.13, 3.02, 2.62, 2.62, 2.5, 2.33, 
##     2.1, 2.34, 2.59, 2.57, 2.7, 2.23, 2.12, 1.32, 1.27, 0.93, 
##     0.61, 0.43, -0.08, -0.26, -0.56, -0.98, -1.54, -2.04, -2.33, 
##     -2.44, -2.59, -2.81, -2.97, -3.34, -3.32, -3.34, -3.31, -3.16, 
##     -3.12, -3.23, -3.18, -2.95, -2.86, -2.68, -2.62, -2.5, -2.3, 
##     -2.15, -2.17, -1.33, -0.22, 0.47, 1, 1.25, 1.73, 1.94, 2.07, 
##     2.47, 2.55, 2.65, 2.39, 2.71, 3.1, 2.63, 2.46, 2.95, 3.21, 
##     3.13, 2.91, 2.99, 2.59, 2.36, 2.14, 2.12, 1.89, 1.86, 1.98, 
##     1.96, 2.06, 2.1, 1.98, 1.56, 1.43, 1.41, 1.27, 1.11, 0.92, 
##     0.71, -0.03, -0.56, -1.27, -1.53, -2.5, -2.89, -3.32, -3.21, 
##     -3.23, -3.29, -3.39, -3.47, -3.52, -3.28, -3.2, -3.26, -3.29, 
##     -3.28, -2.97, -2.95, -2.89, -2.04, -1.83, -0.88, -0.34, 0.29, 
##     0.82, 1.14, 1.45, 2.18, 2.44, 2.84, 2.86, 3.05, 2.84, 2.94, 
##     2.73, 2.83, 2.46, 2.42, 2.23, 2.07, 2.26, 2.18, 2.12, 2.12, 
##     2.01, 1.94, 1.89, 1.93, 1.81, 1.77, 1.65, 1.54, 1.45, 0.69, 
##     0.55, -0.34, -0.55, -0.8, -1.36, -1.65, -1.91, -2.54, -2.97, 
##     -3.34, -3.73, -3.85, -4.05, -3.44, -2.7, -2.57, -2.65, -2.42, 
##     -2.34, -2.33, -2.49, -2.44, -2.23, -0.42, 0.11, 0.98, 1.28, 
##     1.53, 1.94, 2.57, 2.67, 2.67, 0.02, -0.05, -0.02, -0.02, 
##     0, 0.02, 0, 0, -0.02, 0.02, -0.06, 0.06, 0.06, 0.06, 0, -0.08, 
##     -0.08, -0.06, -0.06, -0.08, -0.03, 0.03, 0.1, 0.1, 0.05, 
##     0.08, -0.03, -0.11, 0.06, 0.11, 0.06, 0.03, -0.05, -0.11, 
##     -0.13, -0.06, 0, 0.1, 0.1, 0.03, -0.06, -0.08, -0.06, 0.05, 
##     0.14, 0, -0.03, -0.06, 0.11, -0.02, -0.06, -0.1, -0.11, -0.05, 
##     0.16, 0.13, 0.05, 0, -0.06, 0.13, -0.03, -0.08, -0.08, -0.06, 
##     -0.08, -0.06, -0.03, -0.08, -0.02, 0, 0, -0.02, 0, -0.02, 
##     -0.02, 0, -0.03, -0.02, -0.02, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, 0, 0, 0, 0, -0.03, 0, 0, -0.02, -0.02, -0.03, -0.02, 
##     0.02, 0, 0, 0, 0, -0.02, 0.03, -0.02, -0.02, 0, -0.02, -0.03, 
##     -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, 0, 
##     -0.02, -0.05, -0.08, -0.05, 0.1, -0.06, -0.03, -0.02, 0.03, 
##     0.05, 0.03, -0.06, -0.05, -0.02, 0.02, -0.02, 0.02, 0, -0.02, 
##     -0.02, 0, -0.03, 0, -0.02, -0.02, 0, -0.03, 0, 0.02, -0.02, 
##     -0.02, -0.02, 0, 0, 0, 0, -0.02, 0, 0.02, -0.03, -0.02, -0.02, 
##     0, 0.02, 0, -0.02, -0.03, 0, 0, -0.02, -0.02, -0.03, 0.03, 
##     0.06, 0.02, -0.1, -0.11, -0.05, -0.03, -0.03, 0, -0.02, 0.03, 
##     -0.02, -0.05, -0.05, -0.06, -0.11, -0.14, -0.13, -0.1, -0.03, 
##     0.05, 0.06, 0.13, 0.11, 0.05, 0.03, 0.06, -0.06, -0.1, -0.02, 
##     -0.11, -0.1, -0.03, -0.03, -0.06, -0.08, -0.02, 0.05, 0.06, 
##     0.11, 0.1, -0.05, -0.11, -0.03, -0.02, -0.08, -0.14, -0.19, 
##     -0.16, -0.02, 0, 0.11, 0.1, -0.05, 0.08, 0.02, 0.05, 0.05, 
##     -0.02, 0.13, 0.14, 0.08, -0.1, -0.16, -0.11, -0.02, -0.03, 
##     0, 0, 0.02, 0.03, 0.02, 0.03, 0, -0.02, -0.03, 0, -0.03, 
##     0, -0.02, -0.02, -0.02, -0.02, 0.02, -0.02, -0.08, 0.02, 
##     0.03, 0, 0.29, 0.05, -0.14, -0.21, 0.08, 0.14, -0.08, -0.06, 
##     -0.1, -0.05, 0, 0.02, 0, 0, 0.03, 0, 0.03, 0.06, 0.03, -0.02, 
##     0.05, 0, 0.02, -0.05, -0.02, -0.02, -0.05, -0.03, -0.02, 
##     -0.03, -0.02, 0, -0.03, -0.02, -0.02, -0.03, -0.03, -0.02, 
##     -0.02, -0.02, -0.02, 0, 0.06, 0, 0, -0.03, -0.03, -0.06, 
##     -0.05, -0.03, -0.03, 0, -0.05, -0.02, 0.02, 0, -0.02, -0.03, 
##     -0.02, -0.03, -0.05, -0.02, -0.06, -0.05, -0.02, -0.03, -0.05, 
##     0.02, -0.02, -0.08, 0.02, -0.63, -0.79, -1.08, -1.33, -1.72, 
##     -2.2, -2.31, -2.36, -2.33, -3.52, -3.97, -3.82, -2.94, -3.16, 
##     -2.79, -2.89, -3.05, -3.23, -2.57, -2.47, -2.18, -2.09, -1.86, 
##     -1.83, -1.69, -1.46, -0.72, 1.77, 1.89, 2.06, 2.39, 2.79, 
##     2.47, 2.06, 3.24, 1.3, 4.05, 1.91, 3.28, 1.25, 2.5, 3.69, 
##     2.67, 1.8, 1.98, 2.22, 2.06, 1.64, 1.43, 1.25, 1.36, 0.87, 
##     -0.26, -1.03, -1.22, -1.49, -1.93, -2.22, -2.67, -2.91, -3.32, 
##     -3.39, -3.24, -3.36, -2.94, -2.84, -2.83, -2.71, -2.06, -2.23, 
##     -2.3, -2.01, -2.28, -1.43, 0.69, 1.19, 1.41, 1.43, 1.88, 
##     2.14, 2.78, 2.44, 3.52, 2.23, 4.54, 2.25, 1.96, 3.93, 1.98, 
##     2.38, 2.97, 2.89, 2.38, 1.11, 0.87, 0.21, 0, -0.31, -0.72, 
##     -1.19, -1.46, -1.77, -2.34, -2.87, -3.26, -3.56, -3.52, -3.56, 
##     -3.24, -3.07, -3.23, -2.75, -2.62, -2.67, -2.59, -3.28, -1.57, 
##     0.5, 2.18, 2.26, 2.36, 3.12, 3.26, 2.91, 3.53, 3.24, 4.03, 
##     3.63, 3.98, 4.22, 3.02, 2.83, 2.81, 2.59, 2.67, 2.49, 1.48, 
##     0.93, 0.75, -0.05, -0.27, -0.5, -1.25, -1.73, -3.21, -3.29, 
##     -3.52, -3.71, -3.87, -3.89, -3.89, -3.53, -3.68, -3.18, -3.45, 
##     -2.73, -2.67, -2.52, -2.15, -1.19, -0.59, -0.26, 0.21, 0.71, 
##     1.56, 1.89, 1.96, 2.06, 2.54, 2.78, 2.36, 3.84, 3.15, 3.02, 
##     4.51, 3.07, 4.26, 2.41, 3.03, 3.1, 4.01, 3.32, 2.63, 2.25, 
##     2.04, 1.28, 0.53, -0.79, -1.19, -1.45, -2.73, -3.2, -3.5, 
##     -3.66, -3.81, -3.77, -4.17, -3.61, -3.31, -3.29, -3.63, -3.02, 
##     -3.21, -1.38, 0.87, 1.51, 1.89, 2.25, 2.23, 2.41, 2.83, 3, 
##     3.63, 3.13, 3.64, 4.08, 2.87, 4.4, 2.7, 2.22, 2.55, 2.5, 
##     2.31, 1.38, 0.29, 0.14, -1.22, -1.16, -1.27, -1.91, -2.33, 
##     -2.49, -2.49, -2.63, -2.81, -3.6, -3.56, -3.31, -3.29, -3.29, 
##     -2.95, -2.94, -2.86, -2.86, -2.83, -2.94, -2.75, -1.65, -1.3, 
##     -0.45, 0.16, 0.82, 1.35, 2.06, 2.3, 1.69, 1.88, 3.53, 4.01, 
##     2.79, 2.38, 5.25, 3.2, 1.01, 5.03, 4.74, 2.86, 3.1, 2.71, 
##     2.75, 1.19, 0.35, 0.05, -0.19, -0.47, -0.69, -1.08, -1.27, 
##     -1.48, -1.43, -1.57, -2.2, -2.59, -2.89, -3.4, -3.47, -3.52, 
##     -3.5, -3.47, -3.53, -3.53, -3.5, -3.55, -3.18, -2.81, -2.68, 
##     -3.32, -2.62, -2.6, -2.5, -0.83, 0.34, 0.75, 1.24, 1.59, 
##     3.42, 3.5, 3.95, 3.42, 3.71, 2.23, 3, 3.87, 2.73, 2.31, 2.04, 
##     1.59, 0.77, 0.55, 0.06, 0.03, -0.43, -0.42, -0.42, -0.53, 
##     -1.11, -2.02, -2.23, -2.41, -3.28, -3.13, -3.28, -3.36, -3.52, 
##     -3.31, -3.39, -3.12, -3.1, -3.4, -3.05, -3, -2.36, -2.14, 
##     -2.3, -0.48, 0.21, 0.8, 1.83, 2.31, 2.65, 2.78, 2.7, 2.86, 
##     2.67, 1.81, 4.77, 4.03, 2.38, 3.6, 2.59, 2.91, 2.46, 2.18, 
##     2.14, 1.67, 1.17, 0.85, 0.56, -0.21, -0.72, -0.79, -1.27, 
##     -1.62, -2.25, -2.46, -2.76, -3.24, -3.47, -3.6, -3.77, -3.93, 
##     -3.82, -3.52, -3.21, -3, -2.84, -3.26, -2.75, -2.41, -2.5, 
##     -2.04, 1.41, 1.54, 1.98, 2.68, 2.57, 2.75, 2.54, 2.3, 5.09, 
##     4.26, 2.09, 2.83, 4.77, 1.86, 1.62, 2.73, 3.52, 2.91, 2.06, 
##     1.49, 0.79, 1, 1.03, 0.34, 0.13, -0.9, -1.89, -2.06, -3.53, 
##     -4.17, -4.03, -3.34, -3.34, -2.54, -2.75, -1.53, -0.96, 0.45, 
##     0.8, 0.72, 0.47, 0.9, 2.09, 3.1, 4.26, 3.79, 3.18, 1.78, 
##     3.07, 2.06, 2.55, 3.15, -0.63, -0.51, -0.4, -0.31, -0.27, 
##     -0.27, -0.34, -0.34, -0.16, -0.18, -0.19, -0.21, -0.22, -0.26, 
##     -0.24, -0.16, -0.18, -0.22, -0.22, -0.19, -0.22, -0.22, -0.24, 
##     -0.24, -0.27, -0.26, -0.24, -0.24, -0.22, -0.19, -0.19, -0.21, 
##     -0.21, -0.19, -0.21, -0.21, -0.22, -0.19, -0.21, -0.22, -0.22, 
##     -0.22, -0.24, -0.26, -0.24, -0.24, -0.26, -0.26, -0.26, -0.24, 
##     -0.22, -0.24, -0.24, -0.26, -1.24, -1.4, -1.54, -1.91, -2.04, 
##     -1.98, -1.45, -1.48, -1.51, -1.36, -1.38, -1.2, -1.09, -0.88, 
##     -0.61, 1.85, 1.96, 1.86, 1.48, 1.4, 1.3, 1.19, 1.14, 1.11, 
##     0.96, 0.93, 0.83, 0.82, 0.83, 0.58, 0.53, 0.18, 0.13, -0.39, 
##     -0.64, -0.9, -0.98, -1.12, -0.02, 0.26, 0.31, 0.42, 0.32, 
##     0.31, 0.64, 0.79, 1.43, 1.62, 2.01, 2.26, 2.87, 3, 3.13, 
##     2.99, 3.03, 3.07, 2.75, 2.49, 0.42, 0.67, 0.82, 0.83, 0.95, 
##     0.92, 1.01, 1.35, 1.75, 1.75, 1.7, 2.14, 2.07, 2.41, 2.44, 
##     2.52, 2.99, 2.59, 2.54, 2.89, 2.67, -1.83, -1.93, -1.59, 
##     -1.3, -1.45, -1.24, -0.9, -0.85, -0.79, -0.66, -0.37, -0.26, 
##     -0.08, 0.08, 0.98, 0.98, 1.25, 1.57, 1.75, 1.88, 2.42, 0.61, 
##     0.5, 0.64, 0.59, 0.63, 0.63, 0.61, 0.59, 0.56, 0.58, 0.58, 
##     0.56, 0.56, 0.53, 0.59, 0.59, 0.56, 0.56, 0.56, 0.83, 0.83, 
##     0.63, 0.61, 0.55, 0.51, 0.47, 0.42, 0.32, 0.29, 0.42, 0.59, 
##     0.69, 0.69, 0.64, 0.51, 0.48, 0.45, 0.5, 0.55, 0.55, 0.59, 
##     0.61, 0.63, 0.63, 0.74, 0.74, 0.56, 0.53, 0.67, 0.67, 0.64, 
##     0.66, 0.61, 0.66, 0.63, 0.64, 0.93, 0.79, 0.06, 0.06, 0.06, 
##     0.08, 0.06, 0.06, 0.06, 0.06, 0.05, 0.06, 0.06, 0.08, 0.08, 
##     0.06, 0.05, 0.06, 0.06, 0.06, 0.06, 0.08, 0.06, 0.06, 0.06, 
##     0.08, 0.06, 0.08, 0.1, 0.1, 0.1, 0.08, 0.06, 0.06, 0.06, 
##     0.08, 0.08, 0.11, 0.06, 0.03, 0.03, 0.03, 0.06, 0.06, 0.08, 
##     0.08, 0.1, 0.1, 0.08, 0.05, 0.03, 0.02, 0, 0.02, 0.02, 0.11, 
##     0.13, 0.14, 0.13, 0.08, 0.05, 0.03, 0.02, 0.03, 0.03, 0.06, 
##     0.08, 0.11, 0.14, 0.13, 0.1, 0.05, 0.05, 0.03, 0.05, 0.05, 
##     0.06, 0.06, 0.06, 0.1, 0.06, 0.06, 0.08, 0.08, 0.06, 0.06, 
##     0.06, 0.06, 0.1, 0.11, 0.11, 0.11, 0.13, 0.1, 0.1, 0.08, 
##     0.08, 0.08, 0.08, 0.1, 0.1, 0.11, 0.08, 0.03, 0.08, 0.08, 
##     0.06, 0.03, 0, -0.03, -0.03, -0.03, -0.02, 0, 0.02, 0.05, 
##     0.05, 0.05, 0.08, 0.1, 0.08, 0.06, 0.08, 0.1, 0.1, 0.1, 0.11, 
##     0.13, 0.08, 0.08, 0.1, 0.08, 0.08, 0.05, 0.05, 0.06, 0.11, 
##     0.13, 0.13, 0.14, 0.14, 0.1, 0.03, -0.03, -0.03, 0, 0.05, 
##     0.05, 0.03, 0.03, 0.08, 0.1, 0.1, 0.08, 0.06, 0.06, 0.05, 
##     0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.06, 0.06, 0.06, 0.06, 
##     0.06, 0.06, 0.06, 0.08, 0.08, 0.06, 0.08, 0.08, 0.06, -0.55, 
##     -0.75, -0.77, -0.88, -1.03, -1.04, -1.24, -1.69, -1.45, -1.33, 
##     -1.56, -1.36, -1.06, -0.71, -0.22, 0, 0.05, -0.16, -0.18, 
##     -0.13, 0.02, 0.32, 0.19, 0.02, -0.06, 0, 0.21, 0.42, 0.45, 
##     0.29, 0.32, 0.32, 0.18, 0.11, 0.03, -0.05, -0.02, 0.02, 0, 
##     0, 0.05, 0.02, 0.05, 0.03, 0.02, 0, 0, 0.02, 0.05, 0.06, 
##     0.03, 0.08, 0.05, 0.06, 0.06, 0.03, 0.03, 0.08, 0.1, 0.13, 
##     0.14, 0.14, 0.13, 0.1, 0.08, 0.08, 0.03, 0.02, 0, -0.02, 
##     -0.03, -0.1, -0.1, 0, 0.05, 0.05, 0.02, 0.1, 0.11, 0.11, 
##     0.13, 0.11, 0.1, 0.08, 0.13, 0.13, 0.1, 0.11, 0.14, 0.16, 
##     0.19, 0.19, 0.16, 0.1, 0.74, 0.85, 0.82, 1.03, 1.41, 1.53, 
##     1.64, 1.4, 1.33, 1.36, 1.43, 0.9, 0.69, 0.47, -0.08, -0.08, 
##     -0.1, 1.01, 1.04, 0.21, -0.13, -0.03, 0.47, -0.26, 0.06, 
##     0, 0, 0.02, 0.03, 0.02, 0.05, 0.02, 0, -0.02, 0, -0.05, -0.06, 
##     -0.08, -0.13, -0.22, -0.22, -0.55, -0.79, -0.93, -1.08, -1.46, 
##     -1.62, -1.7, -1.75, -1.81, -2.5, -2.41, -2.3, -2.6, -2.92, 
##     -2.76, -2.18, -2.14, -2.33, -2.34, -2.15, -1.91, -2.31, -2.44, 
##     -2.6, -3.18, -2.99, -2.73, -2.6, -2.71, -2.65, -1.61, -1.35, 
##     -0.77, -0.26, 0.83, 1.04, 0.92, 1.04, 1.3, 1.43, 1.51, 1.73, 
##     1.89, 2.31, 2.79, 2.87, 2.79, 3.13, 3, 2.75, 2.67, 2.57, 
##     2.83, 2.62, 2.76, 2.04, 1.91, 1.93, 1.49, 1.14, 1.08, 0.98, 
##     -1.14, -1.73, -1.65, -1.81, -1.51, -1.67, -1.83, -1.85, -2.04, 
##     -2.04, -2.06, -2.04, -2.2, -2.18, -2.26, -1.96, -2.36, -2.46, 
##     -2.81, -2.59, -2.2, -1.99, 0.24, 0.35, 0.55, 0.9, 0.82, 1.12, 
##     1.2, 1.2, 1.03, 1.46, 1.46, 1.35, 2.07, 1.09, 1.65, 2.25, 
##     2.25, 1.93, 2.25, -1.24, -1.61, -1.59, -1.62, -1.48, -1.4, 
##     -1.46, -1.65, -2.09, -2.31, -1.75, -1.27, -1.32, -1.51, -1.49, 
##     -1.43, -1.88, -1.91, -0.88, 0.05, 0.1, 0.4, 0.95, 1.04, 1.16, 
##     1.3, 1.48, 1.35, 1.73, 1.57, 1.61, 2.2, 2.23, 2.15, 2.36, 
##     2.3, 2.7, 2.3, 1.78, 2.04, 2.78, 1.45, 2.25, 1.28, 1.45, 
##     -1.32, -1.24, -1.59, -1.72, -1.48, -1.17, -1.2, -1.48, -1.51, 
##     -1.62, -1.49, -1.3, -0.87, -0.72, -0.74, -0.64, -0.47, -0.47, 
##     0.67, 1.03, 1.46, 1.65, 1.46, 2.01, 1.86, 1.61, 1.83, 1.89, 
##     1.64, 1.8, 1.89, 1.98, 1.91, 1.72, 1.75, 1.61, 1.75, 1.78, 
##     1.43, 1.72, 1.43, 1.81, 1.25, 1.16, 1.35, 1.4, 0.87, 0.67, 
##     0.45, 0.16, -0.08, -0.24, -0.37, -0.77, -1.32, -1.36, -1.38, 
##     -1.45, -1.62, -1.77, -1.98, -1.94, -1.93, -2.06, -1.81, -1.59, 
##     -1.67, -1.98, -1.61, -1.69, -1.19, -0.85, -1.56, -1.33, -1.08, 
##     -0.88, -0.08, 0.19, 0.39, 1.11, 1.48, 1.35, 1.3, 1.45, 1.78, 
##     1.81, 1.88, 1.86, 1.98, 1.73, 1.72, 1.59, 1.85, 1.56, 1.4, 
##     1.19, 1.35, 1.54, 1.61, 1.64, 1.33, 1.12, 0.67, -0.22, -0.56, 
##     -0.95, -1.01, -1.03, -1.19, -1.24, -1.28, -1.49, -1.51, -1.51, 
##     -1.62, -1.67, -1.73, -1.65, -1.57, -1.62, -1.69, -1.67, -1.54, 
##     -1.4, -2.15, -1.77, -0.92, -1.25, -1.12, -1.11, -1.01, -1.38, 
##     -1.4, -1.3, -1.33, -1.27, -0.08, 0.1, 0.35, 0.5, 0.69, 0.8, 
##     0.79, 0.98, 1.22, 1.33, 1.49, 1.56, 1.61, 1.69, 1.85, 1.8, 
##     2.22, 1.46, 1.73, 1.8, 1.48, 1.28, 1.57, 1.19, 1.56, 1.83, 
##     1.69, 1.33, 1.4, 1.32, 1.33, 1.43, 1.48, 1.48, 1.35, 1.16, 
##     1.12, 0.55, -0.08, -0.21, -0.42, -0.55, -0.77, -1.36, -1.49, 
##     -1.43, -2.14, -1.88, -1.85, -1.81, -1.85, -1.56, -1.7, -1.72, 
##     -1.77, -1.73, -1.72, -1.69, -1.64, -1.59, -1.61, -1.56, -1.65, 
##     -1.45, -1.41, -1.25, -1.09, -1.06, -1.33, -1.54, -1.53, -1.51, 
##     -1.61, -1.54, -1.35, -1.11, -0.58, -0.27, 0.18, 0.31, 0.58, 
##     0.64, 1.01, 1.4, 1.56, 1.7, 2.18, 2.34, 2.15, 2.39, 2.47, 
##     2.63, 2.25, 2.92, 2.5, 2.44, 2.3, 2.1, 2.06, 2.31, 1.09, 
##     -1.93, -2.07, -2.33, -2.2, -1.85, -2.26, -2.3, -1.89, -1.96, 
##     -2.04, -1.83, -1.56, -1.43, -1.61, -1.46, -1.17, -1.27, -1.16, 
##     -1.3, -1.28, -1.17, -1.12, -0.83, -0.67, -0.56, -0.16, 0.39, 
##     0.53, 0.75, 0.93, 1, 1.11, 1.24, 1.27, 1.4, 1.59, 1.67, 1.78, 
##     2.12, 2.17, 1.98, 2.33, 2.12, 1.8, 1.93, 2.1, 2.12, 1.99, 
##     1.61, 1.8, 1.56, 2.79, 2.95, 2.89, 2.63, 2.57, 2.41, 2.44, 
##     2.7, 2.12, 2.26, 1.96, 1.88, 2.12, 1.88, 1.62, 1.54, 1.48, 
##     1.43, 1.53, 1.54, 1.46, 1.35, 1.25, 1.32, 1.43, 1.45, 1.08, 
##     0.95, 0.88, 0.92, 0.8, 0.58, 0.22, 0.22, 0.18, 0.05, -0.02, 
##     -0.27, -0.48, -1.01, -1.11, -1.64, -1.73, -1.85, -1.89, -2.14, 
##     -2.2, -2.1, -1.93, -1.59, -1.45, -1.04, -0.95, -1.04, -0.88, 
##     -0.66, -0.53, -0.29, -0.34, -0.18, -0.21, 0.03, 0.31, 0.63, 
##     0.71, 0.67, 0.64, 0.66, 0.67, 0.67, 0.66, 0.64, 0.66, 0.77, 
##     0.85, 0.96, 1.04, 1.32, 1.73, 1.91, 2.02, 2.06, 2.22, 2.26, 
##     2.49, 2.54, 2.49, 2.33, 2.41, 2.55, 2.7, 2.52, 2.73, 2.62, 
##     2.49, 2.28, 2.12, 2.22, 1.69, 1.7, 1.83, 1.73, 1.75, 1.67, 
##     1.25, 1.53, 1.25, 1.09, 1.08, 1.08, 1.01, 0.83, 0.93, 0.71, 
##     0.42, 0.16, 0.08, 0, -0.21, -0.53, -0.63, -1.14, -1.51, -1.56, 
##     -1.99, 1.11, 1.01, 0.88, 0.85, 1, 0.06, -0.11, -0.29, -0.4, 
##     -0.67, -0.95, -1.28, -1.45, -1.85, -1.94, -1.72, -1.67, -1.72, 
##     -1.75, -1.54, -1.49, -1.72, -1.67, -1.64, -1.56, -1.48, -1.57, 
##     -1.49, -1.48, -1.24, -0.14, 0.05, 0.22, 0.31, 0.26, 0.19, 
##     0.21, 0.19, 0.05, 0.1, 0.11, -0.05, 0.06, 0.18, -0.06, -0.06, 
##     0.06, 0.1, 0.13, 0.05, 0.05, 0.11, 0.03, 0.1, 0.1, 0.06, 
##     0.05, 0.03, 0.03, 0.08, 0.14, 0.27, 0.26, 0.08, 0.08, 0.06, 
##     0.1, 0.11, 0.13, 0.13, 0.19, 0.32, 0.34, 0.53, 0.1, 0.11, 
##     0.14, 0.19, 0.14, -0.02, -0.06, -0.11, -0.08, -0.02, 0.02, 
##     0.02, -0.05, -0.26, -0.34, -0.4, -0.4, 0.08, 0.06, 0.08, 
##     0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 0.06, 0.11, 0.08, 0.06, 
##     0.06, 0.05, 0.06, 0.08, 0.08, -0.03, -0.02, 0, 0, -0.02, 
##     -0.02, 0.03, 0.05, 0.05, 0.05, 0.06, 0.03, 0.02, 0.02, -0.02, 
##     -0.03, 0, 0.03, -0.03, -0.02, -0.05, -0.1, -0.1, -0.03, 0.05, 
##     0.06, 0.05, 0.03, 0.03, 0.03, 0.03, 0.22, 0.11, 0.06, 0.05, 
##     0.02, -0.1, 0.72, 0.5, 0.03, -0.26, -0.31, -0.16, 0.05, -0.14, 
##     -0.14, 0.03, 0.13, 0.08, 0.08, 0.1, 0.08, -3.73, -3.52, -3.81, 
##     -3.73, -3.58, -3.36, -3.26, -2.62, -2.54, -2.47, -2.02, -0.93, 
##     -0.42, -0.26, 3.2, 3.32, 3.21, 3.37, 3.39, 3.08, 2.87, 2.31, 
##     2.22, 1.94, 0.45, -0.16, -0.67, -1.46, -1.72, -1.85, -2.33, 
##     -2.59, -2.94, -3, -3.31, -3.37, -3.21, -3.66, -3.69, -1.85, 
##     -1.73, -1.09, -1, -0.82, -0.75, -0.67, -0.55, -0.31, -0.16, 
##     -0.11, -0.1, 0.08, 0.21, 0.63, 0.8, 1.03, 1.2, 2.23, 2.31, 
##     3.21, 3.15, -2.68, -2.81, -2.68, -2.47, -2.44, -2.02, -1.8, 
##     -1.73, -1.32, -1.03, -0.79, -0.67, -0.71, -0.67, -0.71, -0.75, 
##     -0.72, -0.63, -0.67, -0.69, -0.51, -0.42, -0.45, -0.34, -0.34, 
##     -0.37, -0.32, -2.71, -2.63, -3.28, -3.37, -3.28, -3.34, -3.29, 
##     -3, -3.02, -2.91, -2.92, -2.6, -2.86, -2.62, -2.3, -2.54, 
##     -2.5, -2.15, -2.06, -1.96, -1.93, -1.7, -1.49, -0.8, -0.67, 
##     -0.21, -0.22, -0.22, -0.21, -0.22, -0.22, -0.21, -0.22, -0.24, 
##     -0.24, -0.22, -0.22, -0.22, -0.22, -0.21, -0.22, -0.21, -0.22, 
##     -0.19, -0.21, -0.22, -0.22, -0.19, -0.19, -0.19, -0.21, -0.18, 
##     -0.11, -0.22, 0.02, 0.06, 0.05, -0.08, 311, -0.35, -0.02, 
##     0, -0.19, -0.24, -0.34, -0.61, -0.29, -0.27, -0.35, -0.47, 
##     -0.35, -0.18, -0.18, -0.21, -0.27, -0.27, -0.24, -0.22, -0.24, 
##     -0.22, -0.21, -0.22, -0.22, -0.22, -0.16, -0.11, -0.08, -0.05, 
##     -0.08, -0.03, 0.05, -0.03, -0.02, 0.05, 0.05, -0.03, -0.32, 
##     -0.5, -0.66, -0.34, -0.31, -0.26, -0.21, -0.22, -0.18, -0.14, 
##     -0.19, -0.14, -0.14, -0.13, -0.13, -0.13, -0.13, -0.13, -0.13, 
##     -0.16, -0.19, -0.22, -0.14, -0.14, -0.18, -0.18, -0.19, 1.61, 
##     1.7, 1.78, 1.06, 1.16, 1.17, 1.3, 1.48, 0.5, 0.34, 0.37, 
##     0.19, -0.05, -0.22, -1.33, -1.49, -1.61, -1.69, -1.86, -2.6, 
##     -2.71, -2.87, -2.6, -2.65, -2.75, -2.54, 1.32, 2.44, 2.46, 
##     2.67, 2.3, 2.39, 2.12, 2.83, 2.02, 2.38, 2.12, 2.17, 2.46, 
##     2.15, 1.43, 1.43, 1.45, 2.3, 2.5, 2.47, 2.62, 2.54, 1.7, 
##     2.3, 1.91, 1.78, 2.2, 1.99, 1.45, 1.64, 1.83, 1.57, 1.41, 
##     1.4, 1.35, 0.93, -2.26, -2.31, -2.26, -2.31, -2.49, -2.47, 
##     -1.73, -1.01, 1.77, 1.86, 2.1, 2.44, 2.18, 2.54, 2.33, 1.98, 
##     2.06, 1.85, 1.98, -0.05, -0.21, -0.21, -0.21, -0.34, -0.37, 
##     -0.43, -0.43, -0.48, -0.55, -0.61, -0.74, -0.82, -0.88, -1.04, 
##     -1.09, -1.11, -1.46, -1.46, -1.56, -1.62, -1.8, -1.85, -1.99, 
##     -2.04, -2.09, -2.14, -2.1, -1.75, -0.05, 0, 2.14, 2.02, 2.04, 
##     2.17, 2.1, 1.78, 0.79, 0.02, -0.18, -1.28, -1.94, -2.2, -2.46, 
##     -2.71, -2.89, -3.1, -3.52, -3.56, -3.53, -3.52, -3.53, -3.44, 
##     -3.24, -3.34, -3.5, -3.15, -2.78, -2.71, -2.73, -2.71, -2.67, 
##     0.1, 0.05, -0.06, -0.29, -0.37, -0.43, -1.24, -1.32, -1.64, 
##     -2.15, -2.41, -2.5, -2.47, -2.42, -2.44, -2.49, -2.49, -2.39, 
##     -2.65, -2.71, -3.03, -3.1, -3.07, -2.12, -1.12, -0.06, 1.16, 
##     2.14, 2.3, 2.86, 2.59, 2.86, 2.62, 2.97, 2.18, 2.01, 1.94, 
##     1.98, 1.49, 1.77, 1.77, 2.01, 1.94, 1.7, 1.22, 0.98, 0.66, 
##     0.75, 0.61, 0.63, 0.05, 0, -0.11, -0.34, -0.83, -0.96, -1.06, 
##     -1.54, -1.72, -2.01, -2.36, -2.44, -2.49, -2.71, -2.73, -2.83, 
##     -2.78, -2.94, -3.05, -2.91, -2.87, -2.73, -2.67, -0.96, -0.02, 
##     0.85, 1.72, 1.96, 2.18, 2.46, 2.63, 2.95, 2.79, 0, 0, 0.02, 
##     -0.08, -0.02, -0.13, 0, -0.06, 0.02, 0, -0.02, 0, 0.03, -0.05, 
##     -0.06, -0.05, -0.02, -0.08, -0.06, 0.05, 0.06, 0, 0.03, 0.03, 
##     -0.08, -0.02, 0, 0.03, 0.02, -0.02, -0.1, -0.06, -0.55, -0.63, 
##     -0.69, -0.95, -1.04, -1.24, -1.41, -2.06, -2.2, -2.36, -2.36, 
##     -2.55, -3.03, -3.15, -3.36, -3.39, -3.08, -3.2, -3.29, -3.34, 
##     -3.21, -3.08, -3.05, -2.99, -1.78, 0.85, 1.51, 2.57, 2.54, 
##     2.44, 3.85, 3.16, 2.94, 2.44, 2.75, 2.52, 3.15, 2.78, 2.36, 
##     2.07, 1.78, 1.81, 1.77, 0.95, 0.1, 0.18, -0.14, -0.29, -0.35, 
##     -0.5, -0.74, -0.9, -1.17, -1.33, -2.47, -2.57, -3.26, -3.44, 
##     -3.39, -3.48, -3.61, -3.45, -3.39, -3.32, -2.63, -2.3, -0.72, 
##     0.06, 1.17, 1.83, 2.15, 2.39, 2.52, 2.62, 2.94, 2.86, 3.42, 
##     3.39, 2.86, 3.52, 3.16, 2.89, 2.89, 3.32, 2.92, 2.54, 2.46, 
##     3.03, 2.23, 2.23, 2.44, 2.31, 1.94, 1.51, 0.51, 0.32, 0.21, 
##     -0.82, -0.95, -1.11, -1.33, -1.96, -2.34, -2.99, -3.12, -3.34, 
##     -3.45, -3.77, -3.66, -3.37, -3.21, -3.2, -3.12, -3.2, -3.34, 
##     -3.47, -3.71, -3.56, -2.87, -0.92, 0.55, 1.56, 2.07, 2.83, 
##     2.67, 2.73, 2.54, 2.78, 3.08, 2.86, 3.5, 3.07, 2.63, 2.95, 
##     3.03, 3.34, 3.08, -3.68, -3.55, -3.5, -3.5, -3.63, -3.37, 
##     -3.12, -2.97, -2.6, -0.72, 0.16, 2.31, 3, 3.45, 3.39, 3.69, 
##     4.16, 4.09, 3.87, 3.58, 4.26, 4.32, 4.09, 3.12, 2.41, 2.5, 
##     1.99, 1.77, 0.43, -0.1, -0.87, -1.28, -1.57, -1.99, -2.2, 
##     -2.3, -2.55, -3.07, -3.13, -3.5, -3.42, -3.63, -3.73, -3.76, 
##     -3.68, -3.85, -4.03, -4, -4.45, -4.21, -3.08, -3.05, -3.07, 
##     -2.65, -1.22, 0.9, 1.41, 1.59, 1.91, 2.44, 2.68, 2.95, 3.34, 
##     3.44, 4.22, 3.87, 4.08, 3.47, 3.73, 3.28, 2.87, 3.21, 2.91, 
##     2.87, 0.59, 0.37, 0.42, -0.08, -0.13, -0.45, -0.8, -0.83, 
##     -0.9, -1.19, -1.45, -1.67, -3.31, -3.42, -3.79, -3.93, -3.97, 
##     -4.09, -4.3, -3.92, -3.97, -3.53, -3.42, -1.98, 0.18, 2.3, 
##     3.4, 4.11, 4.08, -2.71, -3.07, -3.31, -4.16, -4.06, -3.76, 
##     -3.89, -3.92, -4.05, -4.11, -4.08, -3.97, -3.81, -2.89, -2.54, 
##     -0.82, 1.01, 2.46, 2.54, 2.73, 2.76, 3.34, 3.58, 3.03, 3.26, 
##     4.42, 3.12, 3.82, 3.52, 3.1, 3.53, 3.21, 3.42, 2.31, 2.46, 
##     2.31, 2.17, 2.23, 2.17, 1.54, 1.19, 0.8, 0.75, 0.72, 0.45, 
##     0.29, 0.16, -0.11, -0.32, -2.2, -2.46, -3.5, -3.85, -4.26, 
##     -4.03, -3.95, -4.06, -4.26, -4.26, -3.97, -4.21, -3.76, -3.69, 
##     -3.98, -3.55, -2.12, -1.3, 0.1, 1.43, 2.06, 2.76, 3.12, 2.83, 
##     3.28, 3.24, 4.09, 4.3, 4.51, 3.85, 3.97, 4.38, 3.6, 3.93, 
##     3.85, 3.12, 2.87, 2.94, -2.09, -1.78, -1.01, -0.83, -0.75, 
##     -0.79, -0.69, -0.4, -0.37, -0.31, 0.72, 0.59, 0.18, 0.11, 
##     0.06, -0.35, -0.13, -0.22, -0.24, -0.29, -0.29, -0.29, -0.18, 
##     -0.11, 0.08, 0.27, 0.31, 0.39, 0.51, 0.63, 0.71, 0.72, 1.09, 
##     1.22, 1.48, 1.77, 1.99, 2.2, 2.34, 2.76, 3.05, 4.75, 4.62, 
##     4.74, 4.77, 4.66, 4.22, 4.09, 3.68, 3.42, 3.31, 3.31, 3.16, 
##     2.83, 2.83, 3, 2.83, 2.04, 1.85, 0.34, -1.2, -2.31, -2.83, 
##     -3.07, -3.32, -3.56, -3.68, -3.61, -3.93, -3.56, -3.69, -3.93, 
##     -4.06, -4.16, -4.09, -3.98, -3.87, -3.74, -3.45, -3.37, -3.03, 
##     -3.1, -2.76, -2.79, -2.83, -2.83, -2.73, -1.83, -1.72, -1.56, 
##     -1.25, -0.63, -0.4, -0.1, 0.08, 0.79, 1.41, 1.83, 2.49, 2.75, 
##     3.02, 3.24, 3.47, 3.53, 3.89, 4.17, 4.78, 4.77, 4.72, 4.58, 
##     4.29, 4.03, 3.89, 3.63, 3.37, 3.29, 2.84, 2.84, 2.87, 2.62, 
##     2.54, 2.3, 2.04, -2.92, -2.44, -2.36, -1.7, -1.64, -1.62, 
##     -1.11, -1.11, -0.9, -0.8, -0.74, -0.69, -0.61, -0.48, -0.35, 
##     -0.1, 0.02, 0.31, 1.01, 1.27, 2.09, 2.94, 3.18, 3.36, 3.63, 
##     3.9, 3.98, 4.11, 4.17, 4.16, 4.43, 4.45, 4.32, 4.27, 4.19, 
##     4, 3.39, 3.26, 3.12, 2.71, 2.63, 2.57, 2.54, 2.3, 2.31, 2.26, 
##     2.15, 1.86, 1.61, 1.24, 0.75, -2.15, -2.46, -2.97, -3.07, 
##     -3.1, -3.34, -3.53, -3.69, -3.81, -3.87, -3.98, -3.95, -3.89, 
##     -4, -4.06, -3.81, -3.26, -3.21, -3.18, -3.24, -3.21, -3.21, 
##     -3.07, -2.83, -2.57, -2.02, -1.64, -1.56, -1.28, -1.22, -1.17, 
##     -0.63, -0.55, -0.51, -0.4, 3, 2.95, 2.91, 2.6, 2.55, 2.62, 
##     2.54, 2.25, 2.3, 1.81, 1.28, -1.38, -2.25, -2.59, -2.94, 
##     -2.97, -3.1, -3.37, -3.71, -3.89, -3.93, -4.13, -3.93, -4.17, 
##     -4.26, -4, -4.09, -3.9, -3.61, -3.32, -3.16, -2.95, -2.62, 
##     -2.59, -2.46, -2.14, -1.75, -1.46, -1.12, -0.95, -1.04, -1.04, 
##     -0.8, -0.42, -0.11, 0.39, 0.51, 0.71, 1.11, 1.49, 1.8, 2.71, 
##     3.4, 3.69, 4.96, 4.75, 4.56, 4.27, 4.08, 4.01, 3.82, 3.64, 
##     3.28, 3.24, 2.97, 3.1, 3.07, 2.67, 2.62, 2.52, 2.38, 2.01, 
##     1.57, -0.02, -1.8, -3.39, -3.69, -3.92, -3.84, -4.27, -4.13, 
##     -4.24, -4.08, -4.14, -4.17, -4.17, -3.6, -3.68, -3.55, -3.58, 
##     -3.73, -3.74, -3.45, -3.26, -3.16, -1.89, -1.75, -1.67, -1.65, 
##     -0.93, -0.27, -0.16, -0.1, 0.1, 0.32, 0.53, 0.75, 1, 2.31, 
##     2.86, 3.07, 4.17, 4.27, 4.29, 4.21, 3.81, 3.87, 3.61, 3.34, 
##     3.4, 3.1, 2.68, 2.7, 2.71, 2.68, 2.55, 0.56, -0.63, -2.62, 
##     -3.02, -3.31, -3.34, -3.12, -3.21, -3.42, -3.42, -3.44, -3.61, 
##     -3.92, -4.26, -4.42, -4.34, -4.62, -4.27, -3.98, -3.82, -3.79, 
##     -3.52, -3.48, -3.24, -3.39, -3.45, -3.52, -3.56, -3.31, -2.28, 
##     -1.81, -1.53, -1.41, -1.32, -0.93, -0.16, 0.21, 1.14, -3.21, 
##     -3.29, -3.42, -3.63, -3.53, -3.68, -3.84, -3.84, -4.14, -4.29, 
##     -4.69, -4.67, -4.74, -4.87, -5.03, -4.95, -4.8, -4.72, -4.22, 
##     -4.16, -3.98, -3.21, -2.33, -2.04, -1.77, -1.56, -1.61, -1.61, 
##     -1.41, -0.02, 0.22, 0.48, 0.83, 1.19, 1.94, 1.99, 3.03, 3.02, 
##     2.97, 3.13, 3.71, 3.85, 3.97, 4.58, 4.06, 4, 3.97, 3.92, 
##     3.76, 3.28, 3.16, 2.99, 2.75, 2.49, 2.34, 2.15, 0.95, 0.47, 
##     -0.08, -1.78, -2.31, -2.71, -3.02, -3.32, -3.89, -4.34, -4.64, 
##     -4.38, -4.46, -4.8, -4.42, -4.7, -4.37, -4.4, -4, -3.95, 
##     3.03, 2.7, 2.71, 2.5, 2.5, 2.54, 2.22, 2.2, 2.17, 2.31, 2.38, 
##     2.2, 1.98, 1.98, 1.72, 1.46, 0.5, 0.21, -0.05, -0.43, -0.67, 
##     -1.24, -1.93, -2.17, -2.42, -2.76, -3.05, -3.32, -3.37, -3.37, 
##     -3.44, -3.39, -3.31, -3.26, -3.15, -3, -2.76, -2.65, -2.59, 
##     -2.59, -2.39, -2.42, -2.5, -1.93, -1.38, -0.79, 0.71, 0.96, 
##     1.35, 1.99, 2.31, 2.36, 2.73, 2.73, 2.73, 2.65, 2.71, 2.55, 
##     2.57, 2.55, 2.54, 2.26, 2.31, 2.31, 2.31, 2.12, 2.31, 1.94, 
##     1.64, 1.28, 1.06, 0.77, -0.22, -1.04, -1.22, -1.4, -1.96, 
##     -2.23, -2.42, -2.84, -3.42, -3.31, -3.24, -3.31, -3.16, -3.03, 
##     -3.12, -3.31, -3.18, -2.94, -2.76, -2.63, -1.85, -1.33, 0.11, 
##     0.55, 0.75, 1.01, 1.16, 1.28, 1.49, 1.64, 2.04, 1.98, 2.41, 
##     2.31, 2.73, 2.41, 2.97, 2.71, 3.28, 2.78, 2.84, 2.41, 0.05, 
##     -0.02, 0, 0.02, 0.08, 0.06, 0.08, 0.08, 0.03, 0.06, 0.03, 
##     0.03, 0.06, 0.03, -0.03, 0, -0.03, 0, -0.06, -0.05, -0.02, 
##     -0.02, -0.02, 0, -0.02, -0.03, -0.05, -0.05, -0.08, -0.08, 
##     -0.08, -0.11, -0.08, -0.03, 0, -0.02, 0, -0.03, -0.05, 0, 
##     -0.03, -0.11, -0.26, -0.4, -0.51, -1.17, -1.45, 2.33, 2.73, 
##     2.92, 3.05, 2.99, 3.44, 3.69, 3.48, 3.28, 3.36, 3.4, 3.4, 
##     3.31, 3.37, 3.4, 3.4, 3.4, 3.36, 2.92, 3.07, 2.83, 2.68, 
##     2.63, 2.1, 1.54, 1.14, 0.75, 0.32, 0.13, -0.14, -0.56, -1.56, 
##     -1.83, -2.2, -3.58, -4.14, -4.46, -4.83, -4.61, -4.67, -4.82, 
##     -4.72, -4.32, -4.21, -3.98, -3.79, -3.44, -2.76, -1.69, -0.29, 
##     0.32, 0.85, 0.98, 1.53, 1.85, 2.02, 2.65, 2.75, 3.34, 3.56, 
##     3.48, 3.55, 3.58, 3.5, 3.34, 3.29, 3.26, 2.81, 2.73, 2.15, 
##     1.96, 1.89, 1.88, 1.62, 1.28, 1, 0.75, 0.5, -0.34, -0.59, 
##     -0.79, -1.36, -1.54, -1.75, -2.46, -2.71, -2.99, -3.6, -4.13, 
##     -4.22, -4.22, -4.22, -4, -4.08, -3.97, -3.84, -3.73, -3.6, 
##     2.36, 1.88, 1.75, 1.64, 1.62, 1.65, 1.19, 1.11, 0.58, 0, 
##     -0.22, -0.43, -0.95, -1.22, -1.49, -2.06, -2.6, -2.86, -3.48, 
##     -4.06, -4.32, -4.54, -4.54, -4.27, -4.09, -3.81, -3.84, -3.53, 
##     -3.52, -3.29, -3.2, -3.07, -3.15, -2.94, -1, -0.64, 0.29, 
##     0.63, 1.41, 1.62, 2.07, 2.18, 2.23, 2.31, 2.49, 2.62, 2.78, 
##     2.99, 3.07, 3.26, -3.44, -4.34, -4.69, -4.48, -4.32, -4.21, 
##     -4, -3.97, -3.07, -3.05, -3.05, -2.89, -2.91, -2.49, -1.77, 
##     2.6, 2.87, 3.1, 3.28, 3.9, 4.17, 4.17, 4.03, 3.71, 3.56, 
##     2.91, 2.57, 2.31, 2.36, 2.47, 2.3, 2.06, 2.04, 1.98, 1.91, 
##     1.8, 1.83, 1.75, 1.17, 0.13, -1.14, -1.41, -1.67, -2.23, 
##     -4.37, -4.42, -4.01, -3.68, -3.63, -2.94, -2.78, -2.67, -2.52, 
##     -2.41, -2.31, -1.59, -1.12, -0.69, 1.72, 1.46, 0.13, -0.31, 
##     -0.85, -1.08, -1.43, -1.86, -2.2, -2.55, -2.89, -3.5, -4.11, 
##     -4.51, -4.53, -4.51, -4.56, -4.56, -4.43, -4.29, -4.21, -4.26, 
##     -3.85, -3.79, -3.69, -3.48, -3.42, -3.23, 3.18, 2.83, 2.6, 
##     2.31, 2.44, 2.76, 2.57, 2.02, 2.02, 1.88, 1.64, 0.47, 0.26, 
##     -0.19, -0.61, -1.99, -2.28, -2.52, -3.03, -3.28, -3.85, -4.08, 
##     -4.3, -4.45, -4.09, -3.77, -3.68, -3.44, -2.89, -2.79, -2.71, 
##     -2.65, -2.5, -2.49, -2.3, -1.64, -1.22, -0.75, -0.29, 0.22, 
##     0.61, 1.32, 1.59, 2.17, 2.42, 2.78, 3.47, 3.81, 3.9, 4.09, 
##     4.26, 4.13, 3.82, 3.69, 3.69, 3.63, 3.31, 3.23, 3.16, 3.16, 
##     3.13, 2.67, 2.62, 1.93, 1.67, 1.17, 0.45, 0.22, -0.18, -0.88, 
##     -1.45, -2.15, -2.79, -3.32, -3.95, -4.77, -5.15, -4.93, -4.95, 
##     2.52, 2.83, 2.73, 2.5, 2.49, 1.81, 1.28, 0.95, 0.56, -0.08, 
##     -0.31, -0.61, -0.77, -0.75, -0.58, -0.51, -0.5, -0.26, -0.14, 
##     -0.19, -0.18, -0.11, 0.06, 0.14, 0.02, 0.05, 0.03, 0.02, 
##     0.06, 0.1, 0.13, 0.16, 0.05, -0.02, 0.03, 0.05, 0.06, 0.05, 
##     0.02, 0.03, -0.02, -0.37, -0.55, -2.28, -2.95, -3.77, -4.77, 
##     -5.19, -4.93, -4.93, -4.66, -3.93, -4.17, -4.01, -3.53, -2.31, 
##     -1.62, 0.22, 1.03, 1.51, 3.28, 3.29, 3.6, 5.04, 4.29, 5.06, 
##     4.54, 4.06, 5.31, 3.56, 2.92, 2.63, 2.22, 1.4, 1.16, 0.19, 
##     -1.01, -1.33, -2.99, -3.1, -3.08, -3.85, -4.5, -5.54, -5.59, 
##     -5.62, -5.19, -4.43, -3.66, -3.24, -3.08, -2.09, -0.16, 0.53, 
##     1.06, 1.73, 2.42, 2.94, 3.26, 3.81, 5.04, -4.3, -4.4, -4.83, 
##     -5.06, -5.3, -4.48, -3.32, -3.47, -3.07, -1.83, -1.25, 0.14, 
##     1.36, 1.93, 2.28, 2.46, 3.55, 3.98, 4.34, 5.17, 4.61, 5.28, 
##     5.6, 4.7, 4.4, 4.14, 3.52, 3.12, 1.43, 0.9, -0.03, -0.24, 
##     -0.48, -2.34, -4.09, -4.43, -4.61, -4.61, -4.96, -5.31, -5.31, 
##     -5.03, -4.88, -4.29, -3.6, -3.39, -3.31, -2.87, -2.33, -1.28, 
##     0.56, 1.33, 1.72, 2.04, 2.83, 3.44, 3.6, 3.81, 4.19, 4.56, 
##     4.83, 4.82, 4.06, 5.73, 3.4, 4.78, 4.72, 4.09, 3.73, 2.89, 
##     0.82, 0.53, 0.13, -0.45, -2.01, -3.48, -4.82, -5.06, -5.51, 
##     -5.48, -5.89, -6.13, -4.91, -4.77, -3.76, -2.3, -0.26, 0.35, 
##     1.91, 2.73, 3.16, 4.06, 3.85, 4.64, 4.64, 5.22, 4.26, 4.58, 
##     5.83, 5.57, 5.49, 4.13, 4.35, 2.87, 2.91, 2.54, 1.08, -0.22, 
##     -1.57, -2.44, -2.71, -2.86, -4.82, -5.41, -5.6, 1.11, 0.88, 
##     0.67, -0.93, -1.38, -1.69, -2.62, -3.32, -5.07, -5.43, -6.02, 
##     -5.72, -5.72, -3.89, -3.02, -2.18, 0.61, 1.38, 3.15, 4.16, 
##     3.92, 5.57, 5.6, 4.87, 6.01, 5.09, 5.43, 4.72, 3.76, 2.47, 
##     1.86, 0.66, -0.02, -0.58, -0.82, -1.43, -1.65, -2.34, -4.38, 
##     -5.75, -6.37, -5.49, -5.28, -4.99, -4.42, -4.13, -1.48, -0.29, 
##     1.41, 3.5, 3.45, 3.36, 4.08, 4.78, 4.75, 5.72, 5.86, 4.51, 
##     4.37, 4.27, 5.06, 3.98, 3.93, 3.93, 3.69, 3.69, 2.22, 1.48, 
##     0.72, 0.48, 0.02, -0.31, -0.98, -1.64, -2.46, -3.31, -4.8, 
##     -5.09, -5.36, -5.89, -6.23, -5.89, -6.07, -6.12, -5.41, -4.77, 
##     -4.66, -3.45, -3.28, -2.6, -2.36, -1.77, -1.28, -0.26, 1.51, 
##     2.12, 4.21, 4.59, 4.14, 4.13, 4.99, 6.13, 5.83, 6.13, 3.18, 
##     3.47, 3.73, 3.32, 2.68, 2.15, 1, 0.43, -0.27, 6.09, 4.08, 
##     4.5, 5.68, 3.47, 4.14, 3.97, 3.37, 3.28, 3.2, 2.75, 1.56, 
##     1.45, 1.27, 0.58, 0.18, -0.02, -0.32, -0.79, -1.04, -0.9, 
##     -0.8, -0.43, -0.19, 0, -0.21, -0.08, 0.06, -0.05, -0.05, 
##     -0.03, 1.01, 0.98, 1.11, 1.09, 1, 1.03, 1, 0.88, 0.72, 0.77, 
##     1.14, 1.36, 1.48, 1.77, 2.1, 2.22, 2.31, 3.21, 3.21, 0.69, 
##     0.69, 0.67, 0.69, 0.74, 0.67, 0.69, 0.71, 0.67, 0.69, 0.69, 
##     0.75, 0.72, 0.72, 0.72, 0.74, 0.71, 0.55, 0.63, 0.55, 0.61, 
##     0.55, 0.61, 0.74, 0.72, 0.72, 0.79, 0.79, 0.85, 0.82, 0.83, 
##     0.75, 0.75, 0.82, 0.8, 0.77, 0.88, 0.56, 0.55, 0.61, 0.61, 
##     0.39, 0.31, 0.08, 0.13, 0.24, 0.37, 0.27, 0.4, 0.43, 0.4, 
##     0.39, 0.22, 0.03, -0.64, -1.16, -1.54, -2.07, -2.54, -2.71, 
##     -2.83, -3.1, -3.28, -3.08, -3.02, -2.94, -2.33, -2.25, -2.22, 
##     -2.06, -1.8, -1.85, -1.27, -1.19, -0.72, -0.88, -0.37, -0.11, 
##     -0.11, 0.05, 0.18, 0.34, 0.4, 0.43, 0.59, 0.8, 0.82, 1.06, 
##     1.61, 1.99, 3.26, 3.42, 3.5, 4.11, 4.3, 3.69, 3.69, 4.09, 
##     3.64, 3.42, 3.66, 3.58, 2.87, 2.78, 2.89, 2.68, 2.52, 2.47, 
##     2.2, 2.14, 2.04, 2.01, 1.88, 1.75, 1.54, 1.08, 1.03, 0.8, 
##     0.69, 0.66, 0.56, 0.35, -0.53, -0.69, -0.69, -1, -0.79, -0.8, 
##     -0.51, -0.42, -0.35, -0.31, 0.14, 0.29, 0.47, 0.83, 0.9, 
##     0.92, 1.22, 1.53, 1.73, 2.46, 2.71, 3.02, 3.36, 3.58, 3.68, 
##     3.89, 3.81, 3.66, 3.52, 3.42, 0.59, 0.43, 0.13, -0.63, -1.91, 
##     -2.36, -2.83, -2.75, -2.68, -2.94, -2.79, -2.22, -2.54, -2.36, 
##     -2.2, -2.1, -1.96, -1.85, -1.73, -1.57, -1.61, -1.61, -1.48, 
##     -1.25, -1.25, -1.04, -0.92, -0.96, -0.16, 0.05, 0.29, 0.71, 
##     0.87, 1, 1.11, 1.38, 1.62, 1.85, 2.09, 2.5, 2.63, 2.79, 2.99, 
##     3.56, 3.77, 3.89, 3.6, 3.5, 3.68, 3.21, 2.99, 3.55, 2.94, 
##     3.36, 2.6, 2.6, 2.59, 2.33, 1.54, 1.49, 1.75, 2.09, 2.12, 
##     2.09, 1.91, 1.69, 1.43, 1.27, 0.88, 0.66, 0.24, 0.22, 0.19, 
##     0.08, 0.03, -0.03, -0.08, -0.74, -1.38, -1.46, -1.4, -1.59, 
##     -2.3, -2.5, -2.62, -3.02, -3.37, -3.31, -2.76, -2.52, -2.41, 
##     -2.46, -2.46, -2.49, 3.1, 4.05, 3.87, 3.71, 3.71, 3.42, 3.26, 
##     3.13, 3.16, 3, 3.21, 3.26, 2.79, 2.6, 3.05, 2.76, 2.39, 2.38, 
##     1.69, 1.61, 1.73, 1.72, 1.56, 1.33, 1.06, 0.93, 0.92, 0.96, 
##     0.75, 0.67, 0.63, 0.35, 0.19, 0.06, -0.21, -1.45, -1.19, 
##     -0.96, -0.87, -0.71, -0.67, -0.66, -0.37, -0.26, -0.18, -0.13, 
##     0.42, 0.47, 0.71, 0.9, 1.14, 1.32, 1.49, 1.67, 2.68, 2.89, 
##     3.4, 3.6, 4.03, 4.4, 4.48, 4.64, 4.34, 4.03, 3.1, 3.08, 3.29, 
##     3.32, 2.97, 2.81, 2.44, 2.54, 2.6, 2.12, 2.17, 2.15, 1.93, 
##     1.64, 1.59, 1.62, 1.54, 1.51, 1.59, 1.54, 1.22, 1.19, 1.09, 
##     1.08, 0.95, 0.72, 0.71, 0.4, 0.13, -0.14, -0.4, -0.69, -1.2, 
##     -1.53, -1.62, -1.75, -2.1, -2.71, -2.7, -2.78, -3.24, -3.39, 
##     -2.86, -2.94, -2.25, -2.09, -1.93, -1.88, -1.85, -1.51, -1.19, 
##     -0.98, -0.92, -0.74, -0.64, -0.47, -0.26, 0.35, 0.51, 0.63, 
##     0.8, 0.92, 1.09, 1.12, 1.24, 1.57, 2.26, 2.76, 3.07, 3.45, 
##     3.44, 3.31, 3.18, 2.89, 2.83, 3.02, 2.84, 2.83, 2.7, 2.97, 
##     2.91, 2.68, 2.79, 2.33, 2.15, 2.2, 2.07, 1.96, 2.15, 2.2, 
##     2.25, 2.46, 2.49, 2.3, 2.17, 1.96, 1.77, 1.61, 1.51, 1.43, 
##     1.28, 1.17, 1.06, 0.96, 0.22, -0.02, -0.29, -0.48, -0.61, 
##     -1.11, -1.2, -1.3, -1.46, -1.78, -2.15, -2.23, -2.38, -2.63, 
##     -3.13, -3.37, -3.39, -3.5, -2.95, -2.95, -2.63, -2.26, -2.25, 
##     -2.3, -2.09, -1.73, -1.53, -1.36, -1.14, -1.01, -0.85, -0.77, 
##     -0.67, -0.74, -0.79, -0.69, -0.58, -0.64, -0.59, -0.06, 0.1, 
##     0.19, 0.63, 0.92, 1.22, 1.48, 2.5, 3.42, 4, 4.38, 3.45, 3.82, 
##     3.08, 3.5, 3.02, 2.42, 2.65, 2.62, 2.55, 1.96, 2.04, 2.15, 
##     2.09, 1.96, 1.83, 1.8, 1.83, 1.72, 1.51, 1.3, 1.09, 0.98, 
##     0.92, 0.87, 0.82, 0.8, 0.77, 0.69, 0.64, -1.25, -1.32, -1.62, 
##     -1.61, -1.62, -2.14, -2.14, -2.46, -2.49, -2.57, -2.7, -2.65, 
##     -2.99, -2.46, -2.41, -2.5, -2.34, -2.2, -1.99, -1.94, -1.64, 
##     -1.41, -1.35, -1.25, -1.12, -2.34, -2.3, -2.06, -2.06, -1.59, 
##     -1.64, -1.19, -1.04, -0.96, -0.88, -0.42, 0.19, 0.42, 0.56, 
##     0.79, 1.12, 1.96, 2.62, 3.28, 3.12, 3.26, 3.18, 3.03, 2.81, 
##     2.87, 2.75, 2.33, 2.09, 1.85, 1.73, 1.62, 1.53, 1.53, 1.62, 
##     1.75, 1.83, 1.8, 1.7, 1.65, 1.56, 1.49, 1.4, 1.24, 1.24, 
##     1.25, 1.25, 1.2, 1.09, 1.08, 0.95, -1.49, -1.8, -2.41, -2.41, 
##     -2.76, -2.6, -2.52, -2.99, -2.42, -2.34, -1.91, -1.99, -2.18, 
##     -1.89, -1.46, -1.14, -1.12, 3.32, 3.02, 3.08, 2.68, 2.49, 
##     2.44, 1.99, 1.69, 1.62, 1.61, 1.72, 1.61, 1.36, 1.25, 1.19, 
##     1.17, 1.19, 1.01, 1, 0.92, 0.82, 0.75, 0.71, 0.67, 0.92, 
##     1, 1.08, 1.62, 1.77, 1.86, 2.23, 2.14, 2.49, 2.34, 2.1, 2.2, 
##     2.75, 2.46, 2.46, 2.6, 3.05, 2.76, 2.49, 0.98, 0.92, 0.85, 
##     0.79, 0.67, 0.59, 0.5, 0.51, 0.31, 0.27, 0.18, 0.08, 0.1, 
##     -0.05, -0.37, -0.56, -0.71, -1.14, -1.2, -1.51, -1.57, -1.56, 
##     -1.67, -2.07, -2.14, -2.14, -1.99, -1.61, -1.75, 1.65, 1.24, 
##     0.98, 1.24, 1.2, 1.3, 1.09, 1.2, 1.3, 1.01, 1.24, 1.01, 0.82, 
##     0.77, 0.42, 0.31, -0.13, -0.55, -0.64, -0.67, -0.82, -1.38, 
##     -1.7, -1.86, -1.51, -0.88, -0.59, 0.69, 0.98, 1.28, 1.24, 
##     1.43, 1.3, 1.36, 1.77, 2.01, 1.85, 1.69, 2.62, 2.79, 2.15, 
##     2.67, 1.54, 2.04, 2.1, 1.88, 1.72, 1.85, 2.01, 1.88, 1.65, 
##     2.44, 1.46, 1.41, 1.27, 1.43, 1.25, 1.14, 1.16, 1.28, 1.36, 
##     1.04, 0.82, 0.75, 0.71, 0.45, 0.37, -0.1, -0.66, -0.75, -0.79, 
##     -1.28, -1.45, -1.59, -1.61, -1.75, -2.02, -2.18, -2.12, -2.18, 
##     -2.3, -2.12, -3.13, -2.6, -2.06, -1.91, -1.67, -1.16, -0.79, 
##     -0.83, -1.12, -1.2, -0.75, -0.95, -0.93, -1.08, -1.38, -1.48, 
##     -1.16, -1, -0.95, -1.03, -1.11, -1.06, -1.08, -0.98, -0.66, 
##     -0.5, -0.4, -0.21, 0.08, 0.14, 0.72, 1.35, 1.27, 1.33, 1.24, 
##     1.38, 1.41, 1.4, 1.3, 1.32, 1.48, 1.49, 1.45, 1.57, 1.56, 
##     1.48, 1.75, 1.75, 1.46, 1.78, 1.36, 1.56, 1.56, 1.14, 1.46, 
##     1.14, 1.3, 1.46, 1.36, 1.17, 1.28, 1.22, 1.03, 1.12, 1.11, 
##     0.79, 0.16, 0.02, -0.02, -0.02, 0, 0.02, 0.02, 0.05, 0.06, 
##     0.1, 0.1, 0.08, 0.02, 0.03, 0.03, 0.02, 0, 0.03, 0.03, -0.13, 
##     -0.39, -0.53, -0.67, -2.1, -2.3, -2.23, -2.17, -2.06, -2.75, 
##     -2.67, -2.6, -2.87, -2.86, -2.94, -2.94, -3.07, -2.78, -3.02, 
##     -3.02, -3.15, -2.94, -2.87, -2.78, 2.6, 2.75, 3.02, 3.52, 
##     3.56, 3.81, 3.98, 4.17, 3.53, 3.66, 3.28, 3.34, 2.97, 2.87, 
##     2.92, 2.84, 2.59, 2.33, 2.22, 1.99, 1.69, 1.54, 0.92, 0.92, 
##     0.98, -2.65, -2.3, -2.22, -2.23, -2.09, -1.57, -1.7, -1.35, 
##     -1.14, -0.43, 0, 0.47, 0.63, 1.17, 1.75, 2.18, 2.46, 2.91, 
##     3.21, 3.26, 3.05, 3.26, 3.15, 3.55, 3.42, 3.48, 3.55, 3.81, 
##     3.93, 2.86, 3.15, 2.89, 2.46, 2.57, 2.36, 2.15, 2.01, 1.85, 
##     1.59, 1.51, 1.3, 0.9, 0.82, 0.71, 0.56, 0.11, 0, -0.32, -0.43, 
##     -0.59, -0.8, -1.11, -1.41, -1.94, -2.59, -2.67, -2.84, -2.83, 
##     -3.03, -3.18, -3.15, -3.44, -3.44, -3.36, -3.02, -2.59, -2.06, 
##     -2.04, -2.06, -1.89, -2.07, -2.06, -1.93, -1.64, -1.56, -1.51, 
##     -1.48, -1.61, -1.56, 0.29, 0.4, 0.63, 0.61, 0.83, 1.04, 1.06, 
##     1.12, 1.19, 1.35, 1.49, 1.89, 1.93, 2.2, 2.44, 2.62, 2.47, 
##     2.65, 2.76, 2.59, 2.38, 2.57, 2.79, 2.54, 2.3, 2.36, 2.79, 
##     2.91, 2.83, 2.95, 3.32, 3.98, 1.75, 1.46, 1.49, 1.41, 1.24, 
##     0.32, -0.14, -0.37, -0.48, -0.96, -1.12, -1.24, -1.45, -1.86, 
##     -2.07, -2.33, -2.65, -2.91, -3.16, -3.32, -3.55, -3.52, -3.93, 
##     -3.9, -3.37, -2.71, -2.73, -2.5, -2.23, -2.26, -2.22, -1.81, 
##     -1.51, -1.35, -1.45, -1.56, -1.59, -1.7, -1.88, -1.73, -1.4, 
##     -1.03, -0.98, -0.74, -0.35, 0.53, 0.63, 0.63, 0.88, 1.03, 
##     1.35, 1.78, 1.98, 2.78, 2.76, 2.91, 3.13, 2.86, 2.71, 2.92, 
##     2.67, 2.75, 2.57, 2.86, 2.78, 2.79, 2.42, 2.73, 2.75, 2.7, 
##     2.3, 2.17, 2.04, 1.8, 1.51, 1.19, -2.57, -2.52, -2.89, -2.84, 
##     -2.6, -2.42, -2.07, -2.07, -2.04, -1.85, -1.85, -1.89, -1.91, 
##     -1.86, -1.8, -1.85, -2.18, -1.08, -0.9, 0.06, 0.26, 0.39, 
##     0.64, 0.67, 0.98, 1.41, 1.59, 1.67, 1.75, 1.85, 2.06, 2.28, 
##     2.34, 2.5, 2.81, 2.68, 2.86, 3.05, 3.18, 2.71, 2.63, 2.7, 
##     2.76, 2.7, 2.54, 2.54, 1.99, 1.88, 1.96, 2.2, 2.41, 1.98, 
##     1.64, 1.51, 1.48, 1.22, 1.11, 1.01, 0.92, 0.87, 0.64, 0.42, 
##     0.24, 0, -0.31, -0.47, -0.55, -0.67, -1.62, -2.15, -1.22, 
##     -1.3, -1.35, -1.45, -1.61, -1.53, -1.43, 0.39, 0.51, 0.55, 
##     0.82, 0.87, 1, 1.62, 2.28, 2.09, 2.42, 2.5, 2.17, 3.1, 2.99, 
##     2.91, 3.32, 3.44, 3.1, 3.03, 3.68, 2.7, 2.95, 3.32, 2.39, 
##     2.1, 2.25, 2.34, 1.78, 1.96, 2.04, 1.69, 1.57, 1.4, 0.75, 
##     0.53, 0.45, 0.26, 0.06, -0.47, -0.51, -0.64, -0.77, -1.11, 
##     -1.41, -1.59, -1.7, -1.85, -2.17, -2.44, -2.46, -2.79, -2.83, 
##     -2.79, -2.87, -2.97, -3.02, -2.89, -2.83, -2.73, -2.65, -2.39, 
##     -1.8, -1.67, -1.49, -1.33, -1.41, -1.54, -1.54, -1.73, -1.14, 
##     -1.04, -0.95, 0.05, 0.87, 1.19, 1.4, 1.51, 1.51, 1.45, 1.49, 
##     1.7, 2.04, 1.98, 2.23, 2.34, 2.7, 2.78, 2.6, 2.55, 2.89, 
##     2.57, 2.6, 2.62, 2.89, 2.1, 1.98, 1.99, 2.12, 1.98, 1.81, 
##     1.57, 1.46, 1.35, 1.25, 1.11, 0.71, 0.48, 0.34, 0.31, 0.29, 
##     0.13, -0.22, -0.71, -0.93, -1.3, -2.02, -2.01, -2.46, -2.86, 
##     -2.91, -2.81, -2.76, -2.78, -2.73, -2.68, -2.6, -2.31, -2.12, 
##     -2.01, -1.85, -1.83, -1.78, -1.7, -1.69, -1.7, -1.69, -0.9, 
##     -0.75, -0.26, -0.05, 0.19, 0.63, 0.66, 0.82, 0.98, 1.35, 
##     1.62, 1.81, 1.98, 2.52, 2.55, 2.52, 2.67, 2.76, 2.87, 3.02, 
##     2.91, 1.25, 1.12, 1.04, 1.01, 1.03, -1.99, -1.86, -1.57, 
##     -1.24, -0.8, -0.9, -1.04, -0.47, -0.37, -0.37, -0.51, -0.39, 
##     -0.26, -0.13, 0.02, 0.19, 0.56, 0.71, 0.85, 0.85, 0.82, 2.63, 
##     2.18, 2.09, 2.06, 1.89, 1.98, 1.62, 1.73, 1.61, 1.83, 1.69, 
##     1.45, 1.35, 1.19, 1.04, 1.01, 1.17, 1.27, 1.38, 1.3, 0.9, 
##     0.9, 1.17, 1.19, 0.66, 0.59, 0.22, -0.14, -0.43, -0.34, -1.2, 
##     -1.25, -1.59, -1.72, -2.02, -2.09, -2.15, -1.96, -2.12, -1.8, 
##     -1.65, -1.45, -1.38, -1.53, -1.11, -1.03, -1, -0.75, -0.5, 
##     -0.37, -0.47, -0.13, -0.14, -0.19, -0.19, -0.06, 0.05, 0.08, 
##     0.16, 0.35, 0.5, 0.51, 0.64, 0.74, 0.74, 0.66, 0.71, 0.8, 
##     0.75, 0.72, 0.83, 0.77, 0.85, 0.83, -2.5, -2.59, -2.68, -2.86, 
##     -2.83, -2.87, -2.91, -2.86, -2.55, -2.54, -2.47, -2.36, -1.88, 
##     -1.8, -1.83, -1.77, -1.69, -1.61, -1.48, -1.46, -1.24, 0.96, 
##     0.82, 0.66, 0.5, 0.43, 0.1, -0.03, -0.27, -0.51, -0.72, -0.83, 
##     -1.01, -1.33, -1.53, -1.7, -1.77, -2.12, -2.14, -2.41, -2.44, 
##     -2.41, -2.47, -2.47, -2.38, -2.46, 0.27, -1.03, -1.3, -2.04, 
##     -2.3, -2.42, -2.62, -2.62, -2.7, -2.83, -3.31, -3.21, -2.92, 
##     -2.62, -2.76, -2.5, -2.59, -2.38, -2.34, -2.3, -2.25, -2.28, 
##     -2.25, -2.42, -2.54, -2.6, -2.67, -2.67, -2.57, -2.15, -1.46, 
##     -0.87, -0.58, -0.27, 0.39, 0.58, 0.77, 0.87, 1.04, 1.25, 
##     1.65, 2.23, -1.57, -1.62, -1.7, -1.83, -2.22, -2.17, -2.17, 
##     -2.34, -2.31, -1.72, -1.25, -1.2, -1.08, -0.74, -0.72, -0.92, 
##     -0.98, -1.4, -1.51, -1.53, 0.22, 0.22, 0.32, 0.34, 0.32, 
##     -0.13, 0, -0.06, -0.02, -0.02, -0.03, 0, -0.03, 0.06, 0.08, 
##     0.1, -0.02, 0.03, 0.05, -0.06, -1.11, -1.69, -2.31, -2.95, 
##     -3.4, -4.22, -4.83, -5.04, -6.12, -5.49, -5.27, -5.56, -5.65, 
##     -5.17, -4.43, -4.24, -4.05, -3.64, -3.31, -3.32, -3.4, -2.78, 
##     -2.2, -1.43, 3.31, 4.05, 4.51, 4.54, 4.8, -6.18, -5.15, -4.69, 
##     -4.61, -4.51, -3.31, -3.16, -3.15, -2.55, -0.87, -0.05, 0.92, 
##     2.57, 3.76, 4.03, 3.68, 4.42, 5.4, 5.12, 3.4, 6.01, 4.42, 
##     3.93, 3.61, 3.82, 3.79, 2.54, 2.52, 3.9, 4.27, 3.85, 4.74, 
##     4.58, 3.4, 3.68, 2.97, 2.99, 2.63, 2.18, 0.83, 0.63, 0.21, 
##     -0.06, -0.47, -1.51, -1.65, -1.77, -3.16, -3.56, -3.77, -0.05, 
##     0.03, 0.02, 0.02, 0.03, -0.03, -0.02, 0.02, 0.03, 0.03, -0.03, 
##     -0.02, 0, -0.02, 0.02, -0.02, 0.02, -0.02, -0.02, 0, 0, 0, 
##     0, 0, 0, 0.02, 0.05, -0.02, 0.02, 0, -3.63, -3.37, -3.44, 
##     -3.42, -3.34, -2.92, -2.04, -2.02, -1.85, -1.77, -1.54, -0.51, 
##     -0.31, -0.05, 0.21, 0.42, 0.74, 0.96, 1.59, 2.47, 3.13, 3.42, 
##     4.08, 4.22, 4.32, 4.48, 2.04, 2.54, 3.32, 3.4, 3.55, 4.14, 
##     4.48, 4.21, 4.13, 4, 4, 3.9, 3.9, 3.89, 3.64, 3.48, 3.32, 
##     3.18, 3.05, 2.62, 2.42, 1.85, 1.64, 0.93, -1.54, -2.14, -2.59, 
##     -2.97, -0.11, 0.06, 1.27, 1.32, 1.57, 2.1, 2.67, 2.83, 3.13, 
##     3.28, 3.5, 3.76, 4.46, 4.48, 4.46, 4.4, 4.26, 4.06, 3.74, 
##     3.07, 3.13, 1.14, -0.83, -2.38, -2.97, -3.16, -3.29, -3.24, 
##     -3.28, -3.5, -3.64, -3.55, -3.34, -3.66, -3.45, -3.53, -3.44, 
##     -3.56, -3.79, -3.77, -3.74, -3.69, -3.58, -3.37, -3.34, -3.44, 
##     -2.95, -3.02, -0.24, -0.26, -0.24, -0.27, -0.27, -0.24, -0.24, 
##     -0.22, -0.22, -0.22, -0.18, -0.18, -0.13, -0.1, -0.11, -0.11, 
##     -0.11, -0.18, -0.19, -0.08, -0.34, -0.47, -0.47, -0.5, -0.26, 
##     -0.26, -0.34, -0.31, -0.27, -0.19, -0.14, -0.16, -0.19, -0.16, 
##     -0.19, -0.16, -0.16, -0.22, -0.21, -0.26, -0.21, 4.34, 3.68, 
##     2.95, 3.45, 3.52, 2.79, 2.01, 1.91, 2.06, 2.23, 1.89, 2.04, 
##     2.26, 1.96, 1.83, 1.75, 1.61, 1.01, 0.85, 0.34, 0.19, 0.05, 
##     -0.08, -0.69, -0.71, -1.36, -1.51, -2.26, -2.36, 2.73, 2.38, 
##     2.07, 0.98, 0.85, 0.8, 0.39, 0.22, -0.1, -0.85, -1.16, -1.36, 
##     -1.49, -2.01, -3.02, -3.52, -3.53, -3.4, 3.1, 2.65, 2.54, 
##     2.47, 2.01, 2.23, 1.69, 1.48, 1.59, 1.41, 1.49, 1.28, 1.14, 
##     1.08, 0.69, 0.53, 0.27, 2.84, 3.02, -4.85, -4.3, -3.61, -3.13, 
##     -3, -2.89, -2.71, -2.41, -1.67, -0.35, 0, 0.48, 0.59, 1.09, 
##     1.67, 1.91, 2.38, 2.6, -3.16, -3.05, -3.1, -2.78, -1.99, 
##     -1.3, -0.61, 0.05, 0.87, 1.06, 1.43, 1.72, 1.94, 2.28, 2.5, 
##     2.63, 2.81, 3.12, 3.52, 3.48, 3.76, 3.58, 3.4, 3.36, 3.1, 
##     0.87, 2.07, 2.67, 2.83, 2.91, 3, 3.1, 3.28, 3.5, 3.39, 3.48, 
##     3.61, 3.66, 3.29, 2.84, 2.76, 2.71, 2.52, 2.42, 2.38, 2.1, 
##     1.85, 3.23, 3.23, 3.18, 3.02, 2.75, 2.65, 2.57, 2.5, 2.34, 
##     2.5, 2.47, 2.33, 2.34, 2.46, 2.26, 2.15, 2.17, 1.54, 0.92, 
##     0.74, -1.36, -2.28, -2.57, -2.79, -2.42, -2.26, -0.34, 0.21, 
##     0.88, 1.03, 1.61, 1.93, 2.78, 2.97, 3.23, 3.48, 3.6, 3.5, 
##     3.56, 3.64, 3.47, 3.44, 3.18, 3.05, 2.95, 2.73, 2.62, 2.3, 
##     2.59, 2.73, 2.94, 3.13, 3.29, 3.61, 3.63, 3.77, 3.93, 3.97, 
##     3.95, 3.76, 3.58, 3.16, 3.03, 2.94, 2.78, 2.87, 2.78, 2.91, 
##     2.76, 2.17, 1.54, -0.24, -1.73, -3.21, -3.5, -3.84, -4.38, 
##     -4.66, -5.06, -5.19, -4.9, -4.72, -4.5, -4.37, -4.22, -4, 
##     -3.84, -3.81, -3.71, -3.58, -2.84, -2.57, -1.96, 0.05, 1.28, 
##     1.4, 1.57, -1.67, -1.93, -2.44, -3.08, -3.29, -3.53, -4.27, 
##     -4.24, -4.09, -4.19, -4.24, -4.3, -4.19, -4.08, -3.87, -3.37, 
##     -3.1, -2.73, -2.39, -2.22, -1.88, -1.56, -1.14, -0.29, 0.67, 
##     0.85, 2.18, 2.02, 1.89, 1.88, 1.72, 1.41, 1.11, 1, 0.45, 
##     0.16, 0.02, -0.06, -0.18, -0.22, -0.13, -0.02, 0.02, -0.03, 
##     0.03, 0.06, -0.02, 0.1, 0.06, 0.08, 0.05, 2.79, 2.2, 2.23, 
##     2.3, 2.2, 1.73, 1.25, 0.87, 0.5, 0.24, 0.31, 0.26, -0.32, 
##     -0.42, -0.48, -0.71, -1.14, -1.4, -1.54, -1.59, -1.83, -1.91, 
##     -2.17, -2.78, -3.53, -4.19, -4.01, -3.97, -3.93, -3.89, -3.97, 
##     -3.61, -3.73, -3.31, -3.31, -3.15, -1.7, -0.53, 0.58, 2.47, 
##     2.81, 3.18, 3.13, 3.55, 3.6, 4.4, 4.16, 3.58, 3.95, 3.6, 
##     3.2, 3.16, 2.81, 2.67, 2.26, 2.09, 1.65, 0.88, 0.51, 0.03, 
##     -0.61, -0.8, -1.49, -1.73, -1.89, -2.09, -2.34, -2.71, -2.86, 
##     -3, -3.26, -3.63, -4.17, -4, -4, -4.06, -4.09, -4.11, -4.13, 
##     -3.87, -3.53, -3.23, -2.63, -1.69, -1.09, 2.1, 2.57, 2.67, 
##     2.75, 2.63, 2.76, 3.13, 3.4, 3.69, 4.14, 3.6, 3.95, 3.64, 
##     3.69, 3.87, 3.23, 3.26, 3.05, 2.94, 3.07, 2.95, 2.86, 2.09, 
##     1.46, 0.96, 0.98, 0.66, 0.34, 0.27, 0.13, -0.13, -0.55, -0.64, 
##     -0.85, -1.08, -1.14, -1.45, -1.48, -1.41, -1.35, -1.41, -1.48, 
##     -1.8, -1.88, -1.93, -1.93, -2.02, -2.52, -2.41, -2.28, -2.1, 
##     -1.96, -2.04, -1.83, -1.73, -1.62, -0.8, -0.39, 0.06, 0.24, 
##     0.39, 0.53, 0.55, 0.5, 0.5, 0.63, 0.64, 0.9, 1.43, 1.64, 
##     1.89, 1.77, 2.12, -2.34, -2.5, -2.54, -2.62, -2.78, -2.68, 
##     -2.71, -2.54, -2.52, -2.04, -1.7, -1.48, -0.11, 0.06, 0.21, 
##     0.58, 0.64, 0.58, 0.72, 0.98, 1.28, 1.56, 1.98, 2.22, 1.91, 
##     1.94, 1.67, 1.91, 2.09, 1.85, 1.83, 2.22, 1.4, 1.38, 1.22, 
##     1.28, 1.35, 1.3, 1.09, 0.92, 0.63, 0.43, 0.37, 0.13, 0.16, 
##     -0.13, -0.1, -0.35, -0.93, -0.95, -1.06, -1.27, -1.56, -1.83, 
##     -2.02, -2.04, -2.26, -2.34, -2.23, -2.25, -2.3, -2.39, -2.28, 
##     -2.2, -1.16, -1.01, -0.82, -0.47, -0.02, 0.88, 0.96, 1.09, 
##     1.16, 1.25, 1.48, 1.4, 1.43, 1.78, 2.02, 1.65, 2.22, 2.1, 
##     2.1, 1.99, 2.18, 1.91, 2.06, 2.2, -0.06, -0.16, -0.11, -0.61, 
##     -0.67, -1.3, -1.28, -1.48, -1.98, -2.18, -2.22, -2.36, -2.46, 
##     -2.5, -2.31, -2.52, -2.42, -2.55, -2.46, -2.15, -2.26, -2.52, 
##     -1.33, 0.42, 0.61, 0.74, 1.04, 0.83, 1.56, 1.25, 1.7, 2.46, 
##     1.98, 2.68, 2.14, 2.38, 2.3, 2.12, 1.75, 1.27, 1.35, 1.4, 
##     1.49, 1.32, 0.63, 0.11, -0.02, -0.1, -0.39, -1.33, -1.36, 
##     -1.33, -1.51, -1.73, -1.86, -2.06, -2.34, -2.59, -2.62, -2.57, 
##     -2.83, -2.73, -2.76, -2.54, -1.45, -0.16, 1.12, 0.96, 1.4, 
##     1.86, 1.91, 2.47, 2.55, 2.38, 2.75, 2.65, 2.25, 1.8, 2.01, 
##     2.2, 1.73, 1.73, 1.54, 1.53, 0.63, 0.63, 0.39, -0.22, -0.31, 
##     -0.61, -0.77, -1.32, -1.83, -1.89, -1.96, -2.3, -2.38, -2.39, 
##     -2.23, -2.15, -2.18, -1.81, -2.09, -1.85, -1, -0.74, -0.58, 
##     0.24, 0.39, 0.93, 0.88, 1.03, 1.78, 1.81, 2.2, 1.64, 1.77, 
##     2.36, 2.12, 2.36, 1.85, 1.3, 1.35, 1.48, 1.45, 1.35, 1.3, 
##     1.12, 1.03, 0.75, 0.61, 0.55, 0.4, 0.22, 0.03, -0.11, 4.48, 
##     3.87, 3.47, 3.5, 3.56, 3.32, 3.16, 2.62, 2.54, 1.85, -0.98, 
##     -2.36, -2.7, -3.28, -3.47, -3.6, -4.16, -4.11, -4.3, -4.67, 
##     -4.85, -4.64, -4.64, -4.5, -4.14, -4.05, -3.55, -3.15, -3.2, 
##     -3.34, -3.31, -3.24, -3.56, -3.6, -3.53, -3.5, -3.05, -2.65, 
##     -2.25, -1.98, -1.65, -1.57, -1.46, -1.3, -0.63, -0.31, 0.13, 
##     0.39, 0.95, 2.49, 3.12, 4.34, 4.82, 4.8, 4.74, 4.75, 4.61, 
##     4.72, 4.69, 4.51, 3.64, 3.32, 3.2, 3.12, 2.84, 2.76, 2.68, 
##     2.57, 2.39, 1.85, -0.11, -0.88, -1.51, -3.07, -3.32, -3.69, 
##     -3.84, -3.84, -3.95, -4.53, -4.62, -4.56, -4.45, -4.53, -4.35, 
##     -4.13, -4.16, -3.76, -4.03, -3.56, -3.37, -3.53, -3.58, -3.28, 
##     -2.39, -1.78, -1.41, -1.36, -0.61, -0.55, -0.42, -0.16, 0.22, 
##     0.02, -0.34, -0.48, -0.21, -0.22, -0.37, -0.32, -0.18, -0.06, 
##     0, -0.03, 0.06, 0.19, 0.75, 1.93, 2.01, 1.96, 1.93, 2.46, 
##     2.87, 3.28, 3.21, 2.76, 2.73, 2.3, 1.51, 0.75, 0.5, -0.13, 
##     -0.43, -1.91, -2.01, -2.12, -2.2, -2.86, -2.73, -2.54, -2.83, 
##     -3.13, -2.84, -2.81, -3.28, -2.26, -2.47, -2.86, -2.87, -2.42, 
##     -2.5, -2.59, -2.39, -1.78, -1.77, -1.93, -1.57, -1.25, -0.83, 
##     -0.69, -0.37, -0.34, -0.31, -0.21, -0.03, 0.1, 0.32, 0.56, 
##     1.16, 1.32, 1.64, 1.96, 2.15, 3.02, 3.31, 3.53, 3.5, 3.64, 
##     3.47, -1.7, -1.54, -1.11, -0.87, -0.29, 0.03, 0.53, 1.36, 
##     1.53, 2.95, 3.07, 3.21, 3.26, -2.87, -2.59, -2.62, -2.57, 
##     -2.46, -2.65, -1.91, -1.36, -1.11, -0.88, -0.75, -0.58, -0.39, 
##     -0.21, -0.1, -0.03, 0.03, 0.19, 0.43, 2.28, 3, 3.16, 3.55, 
##     3.47, 3.32, 3.36, 3.29, 3.1, 1.17, -0.14, -0.82, -1.2, -2.3, 
##     -2.44, -2.79, -3.89, -3.52, -2.91, -3.42, -3.37, -3.02, -2.76, 
##     -2.86, -2.2, -2.06, -1.86, -1.43, -0.69, -0.59, -0.34, 0, 
##     0.22, 0.43, 0.69, 1.45, 1.7, 2.26, 2.38, 2.99, 3.1, 2.97, 
##     3.15, 3.32, 2.84, 3.31, 2.67, 2.57, 2.47, 1.32, 1.08, -1.4, 
##     -2.12, -2.47, -2.78, -3.23, -3.64, -3.9, -3.77, -3.6, -3.68, 
##     -3.55, -2.6, -2.6, -2.81, -2.33, -1.48, -1.01, -0.9, -0.67, 
##     -0.55, -0.03, 0.31, 0.67, 0.87, 1.61, 2.14, 2.62, 2.81, 2.92, 
##     3.23, 3.52, 3.73, 3.63, 3.74, 3.74, 3.69, 3.84, 3.63, 2.94, 
##     0.9, 0.56, -0.14, -0.53, -0.95, -1.36, -2.3, -2.5, -2.7, 
##     -3.02, -3.18, -3.18, -3.29, -3.52, -3.55, -3.81, -3.84, -3.1, 
##     -3.18, -3.5, -2.87, -3.23, -3.12, -2.54, -2.39, -2.02, -1.03, 
##     -0.77, -0.61, 0.11, 0.88, 1.27, 2.38, 2.78, 3.77, 3.64, 3.63, 
##     3.45, 3.47, 3.23, 3.12, 2.73, 2.31, 1.75, 1.22, 0.5, -0.39, 
##     -1.04, -1.49, -1.93, -2.17, -2.22, -2.36, -2.71, -3.02, -3.12, 
##     -3.2, -3.05, -3.39, 0.61, 1.12, 1.36, 1.7, 2.06, 2.28, 2.75, 
##     2.91, 3.53, 3.79, 3.23, 3.21, 3, 2.97, 3.08, 3.08, 2.23, 
##     1.98, 0, -0.53, -1.57, -1.85, -1.98, -1.96, -2.57, -2.86, 
##     -3.31, -3.26, -3.52, -2.83, -3.18, -3.55, -3.03, -2.99, -3.05, 
##     -3.15, -3, -2.68, -2.01, -1.45, -0.85, -0.39, -0.11, 0.16, 
##     0.35, 0.47, 0.58, 0.82, 1.49, 1.78, 2.7, 3.32, 3.18, 3.18, 
##     3.23, 3.1, 3.1, 3.21, 3.44, 3.55, 3.61, 3.63, 4.19, 4.03, 
##     4.09, 4.09, 3.79, 3.61, 3.74, 3.47, 3.21, 3, 2.84, 2.55, 
##     2.57, 2.28, 1.83, 1.73, 1.35, 1.08, 0.67, 0.58, 0.35, 0.06, 
##     0.02, -0.03, -0.08, -0.06, 0.06, -0.02, -0.06, 0, 0.27, 0.27, 
##     0.37, 0.26, 0.22, 0.19, 0.22, 0.11, 0.18, 0.14, 0.19, 0.19, 
##     0.21, 0.13, 0.13, 0.06, -0.05, -0.13, -0.13, -0.16, -0.06, 
##     -0.05, -0.03, -0.14, -0.13, 0.03, 0.03, -0.02, 0, -0.03, 
##     0.03, 0, -0.03, -0.03, 0, 0.05, -0.02, -0.03, -0.02, -0.02, 
##     -0.02, 0.06, 0.11, 0.24, 0.02, -0.05, -0.13, 0.06, 0.06, 
##     0.05, 0.05, 0.14, 0.06, 0.02, 0, 0.18, 0.05, -0.03, 0, -0.19, 
##     -0.19, -0.21, -0.34, -0.35, -0.34, -0.24, -0.1, -0.11, -0.13, 
##     -0.13, -0.05, -0.13, 0, 0.05, 0.05, 0.05, 0.1, 0.02, -0.02, 
##     0, 0.03, 0.02, -0.02, -0.14, -0.19, -0.19, -0.18, -0.71, 
##     -0.85, -1.01, -1.14, -1.32, -1.67, -1.81, -2.2, -2.55, -2.62, 
##     -2.62, -2.6, -2.71, -2.42, -2.26, -2.25, -2.31, -2.28, -2.15, 
##     -2.07, -1.96, -1.77, -1.7, -1.51, -0.85, -0.63, -0.32, 0.29, 
##     1.09, 1.17, 1.36, 1.45, 1.91, 1.77, 1.81, 1.94, 2.34, 2.15, 
##     2.17, 2.26, 2.26, 2.34, 2.12, 2.1, 1.89, 1.85, 1.83, 1.72, 
##     1.7, 1.56, 1.33, 1.14, 0.85, 0.51, 0.29, -0.11, -0.47, -0.87, 
##     -2.25, -2.36, -2.47, -2.55, -2.54, -2.5, -2.84, -2.92, -2.73, 
##     -2.34, -2.02, -1.88, -0.61, -0.27, 0.71, 1.32, 1.67, 2.36, 
##     2.62, 2.68, 2.78, 2.84, 3.02, 2.99, 2.57, 1.57, 1.3, 0.82, 
##     0.26, -0.18, -0.98, -1.46, -1.85, -2.52, -2.6, -2.57, -2.62, 
##     -2.62, -2.7, -2.44, -2.36, -2.23, -1.88, -1.57, -0.88, 0.58, 
##     0.85, 1.16, 1.61, 2.25, 2.22, 2.5, 2.34, 2.63, 2.89, 2.54, 
##     2.33, 2.68, 2.28, 2.17, 2.42, 2.02, 2.07, 1.46, 1.2, 0.48, 
##     0.37, 0.08, -0.56, -0.9, -1.22, -1.48, -1.7, -2.33, -2.57, 
##     -2.81, -2.87, -3.03, -3.12, -3.45, -3.16, -3.16, -2.26, -0.95, 
##     -0.26, -0.02, 1.51, 1.91, 2.75, 2.78, 2.3, 2.44, 2.78, 2.42, 
##     2.41, 2.41, 1.17, 0.74, 0.35, 0.14, -0.14, -0.74, -1.45, 
##     -2.26, -2.65, -3.15, -3.5, -3.56, -3.52, -3.61, -3.63, -3.53, 
##     -3.45, -2.92, -2.78, -2.41, -1.57, -0.61, -0.34, -0.05, 0.9, 
##     1.12, 1.3, 1.77, 1.86, 2.2, 2.38, 2.68, 3.08, 3.12, 3.24, 
##     3.21, 3.16, 3.36, 3.6, 3.48, 2.63, 1.91, 1.72, 1.45, 0.92, 
##     0.31, 0.18, -0.13, -1.03, -1.56, -2.28, -2.89, -3.26, -3.47, 
##     -4.19, 0.88, 0.74, 0.4, 0, -0.66, -1, -1.43, -1.59, -1.75, 
##     -1.96, -2.2, -2.31, -2.46, -2.73, -3.21, -3.42, -2.97, -2.91, 
##     -2.33, -1.16, -0.82, -0.42, 0.11, 0.48, 1.36, 1.64, 1.91, 
##     2.52, 2.83, 2.87, 2.6, 3, 2.59, 2.84, 2.99, 2.73, 3.02, 2.79, 
##     2.89, 2.46, 2.17, 1.91, 1.65, 1.64, 1.53, 1.14, 0.37, -0.18, 
##     -0.95, -2.12, -2.49, -2.62, -2.97, -3.23, -3.29, -3.45, -3.48, 
##     -3.37, -3.26, -3.26, -3.13, -2.94, -2.83, -2.71, -2.46, -2.04, 
##     -1.61, -1.28, -1.01, -0.03, 0.39, 0.72, 1.17, 1.7, 1.93, 
##     2.65, 2.62, 2.65, 3.08, 3.05, 2.99, 3.42, 2.89, 2.75, 2.67, 
##     2.39, 2.41, 2.39, 2.17, 2.28, 2.09, 1.78, 0.88, 0.51, 0.11, 
##     -0.13, -0.4, -0.8, -1.41, -1.77, -2.68, -2.75, -3.02, -2.95, 
##     -3.03, -3.2, -2.75, -1.72, -1.22, 0, -0.06, -0.06, 0, -0.08, 
##     -0.06, 0.03, -0.06, -0.03, -0.13, -0.13, -0.19, -1, -1.28, 
##     -1.45, -2.06, -2.28, -2.55, -2.78, -2.5, -2.95, -2.73, -2.62, 
##     -2.68, -2.55, -2.31, -2.39, -2.34, -1.99, -1.64, -0.82, -0.22, 
##     0.21, 0.51, 0.79, 0.37, 0.51, 1.46, 1.89, 1.65, 2.1, 2.71, 
##     2.84, 3.87, 2.18, 3.58, 1.94, 2.86, 2.12, 2.57, 3.03, 1.7, 
##     1.19, 1.16, 0.87, 0.55, 0.31, -0.1, -0.37, -0.66, -0.92, 
##     -1.16, -1.27, -1.53, -1.98, -2.42, -2.63, -2.5, -2.73, -3.13, 
##     -3.16, -3.18, -3.28, -3.37, -3.23, -3.24, -2.76, -2.83, -1.49, 
##     -0.9, 0.05, 0.37, 0.74, 0.88, 1.4, 1.64, 1.7, 3.18, 4.26, 
##     2.73, 4.16, 2.07, 2.06, 2.02, 1.96, 1.33, 0.42, 0.14, -0.03, 
##     -0.67, -0.64, -1.94, -2.36, -2.87, -3.95, -4.13, -4.06, -4.19, 
##     -3.74, -3.34, -2.91, -2.57, -0.63, -0.34, 0.35, 0.45, 0.56, 
##     0.83, 1.08, 1.36, 2.62, 1.98, 2.6, 3.31, 3.1, -3.29, -1.54, 
##     -0.53, -0.34, -0.02, 0.79, 0.87, 1.36, 2.1, 2.09, 1.72, 3.05, 
##     2.49, 2.3, 3.1, 4.16, 2.5, 3.82, 2.15, 2.57, 1.99, 0.74, 
##     0.59, 0.16, 0.19, -0.22, -0.45, -0.63, -0.75, -1.75, -2.12, 
##     -2.15, -2.34, -2.75, -3.6, -3.85, -3.85, -3.92, -3.93, -3.82, 
##     -2.38, -1.57, -1.22, -0.74, -0.18, 0.08, 1.28, 2.25, 2.52, 
##     4.06, 2.09, 3.13, 3.95, 2.95, 2.02, 2.12, 1.77, 2.01, 1.06, 
##     0.48, 0.16, 0.1, -0.21, -0.74, -0.95, -1.09, -1.32, -1.67, 
##     -4.16, -4.3, -4.05, -3.82, -4, -4.17, -3.82, -3.76, -3.66, 
##     -2.68, -1.73, -1.06, -0.98, 0.02, 0.47, 0.45, 1.14, 3.28, 
##     2.62, 2.92, 2.67, 3.52, 2.63, 3.4, 2.81, 2.33, 2.41, 1.96, 
##     1.98, 1.32, 1.11, 0.92, 0.11, -0.61, -0.69, -1.36, -1.78, 
##     -2.3, -3.53, -4.05, -3.58, -3.42, -2.97, -2.49, -1.93, -1.45, 
##     -1.01, -0.51, -0.26, -0.14, 0.74, 1.11, 1.36, 1.91, 1.93, 
##     2.44, 2.67, 2.91, 3.47, 3.58, 3.08, 2.39, 2.54, 2.38, 2.2, 
##     0.24, -0.11, -0.69, -0.92, -1.33, -2.89, -3.13, -3.97, -4.78, 
##     -4.58, -3.66, -1.73, -0.37, 1.54, 1.27, 2.26, 4.03, 3.15, 
##     2.3, 3.55, 3.82, 2.75, 3, 2.76, 2.02, 1.59, 0.39, 0.34, 0.06, 
##     -0.31, -1, -1.25, -2.63, -3.13, -3.81, -3.81, -4.05, -4.69, 
##     -3.69, -3.58, -1, 0.08, 0.42, 1.09, 1.32, 2.67, 2.44, 2.39, 
##     3.56, 4.19, 3.77, 3.13, 4.9, 4.66, 3.15, 3.6, 3.92, 2.54, 
##     2.3, 2.25, 1.91, 1.61, 0.19, -0.88, -1.16, -1.75, -2.47, 
##     -3.03, -3.1, -3.52, -3.63, -3.63, -4.03, -3.45, -3.69, -2.97, 
##     -2.87, -2.44, -1.48, -0.11, 0.34, 0.64, 0.77, 0.58, 1.4, 
##     1.46, 2.06, 2.3, 2.15, 3.56, 1.96, 2.76, 3.47, 2.73, 2.73, 
##     1.91, 1.91, 2.17, 2.31, 0.51, 0.26, -0.03, -0.24, -0.32, 
##     -0.5, -0.51, -0.47, -0.45, -0.45, -0.39, -0.21, -0.11, -0.03, 
##     0.03, 0.06, 0.08, 0.08, 0.1, 0.19, 0.08, 0.02, -0.06, -0.03, 
##     -0.13, -0.03, -0.05, -0.08, 0.03, 0.03, -0.03, 0.06, 0.1, 
##     -0.05, -0.03, -0.08, -0.08, -0.05, -0.05, -0.05, -0.05, 0, 
##     0.03, 0, 0, -0.03, -0.06, -0.08, -0.06, -0.16, -0.4, -0.48, 
##     -1.28, -1.51, -1.99, -2.81, -3.02, -3.42, -3.79, -3.79, -3.79, 
##     -3.79, -3.97, -4.22, -4.22, -4.7, -4.88, -4.75, -4.62, -4.82, 
##     -4.54, -4.08, -4.34, -4.37, -3.26, -0.35, 0.4, 1.77, 2.38, 
##     2.87, 4.72, 5.38, 5.64, 5.51, 3.95, 3.53, 4.72, 4.05, 3.87, 
##     3.2, 2.81, 2.06, 1.35, 1.17, 0.55, -0.31, -1.54, -2.67, -3.2, 
##     -3.56, -4.14, -4.59, -5.07, -5.48, -5.52, -4.75, -5.78, -5.2, 
##     -4.53, -4.42, -4.4, -4.46, -0.64, 0.58, 1.38, 3.4, 3.47, 
##     4.05, 4.06, 5.22, 2.81, 3.73, 3.69, 3.5, 2.92, 1.04, 0.18, 
##     -0.05, -0.63, -0.74, -0.9, -0.71, -0.47, -0.32, -0.11, -0.05, 
##     -0.05, 0.1, 0.18, 0.21, 0.16, 0.06, 0.1, 0.02, 0.02, -0.06, 
##     -0.06, -0.06, -0.05, -0.08, -0.03, -0.02, 0, 0.02, -0.03, 
##     -0.05, -0.1, -0.08, 0.05, 0.05, 0.05, 0.05, -0.02, 0, -0.05, 
##     -0.03, -0.05, 0, -0.02, -0.24, -0.19, -0.19, -0.22, -0.26, 
##     -0.47, -0.58, -0.67, -0.69, -0.74, -0.98, -0.95, -1, -1.17, 
##     -1.25, -1.36, -1.43, -1.49, -1.93, -2.22, -1.99, -2.23, -1.99, 
##     -2.18, -2.23, -1.96, -0.63, 1.59, 1.32, -0.88, -0.96, -0.85, 
##     -0.02, 0.24, 0.67, 0.71, 0.4, -0.53, -0.66, -0.74, -0.63, 
##     -0.08, 0.1, 0.1, 0.03, 0.02, -0.02, -0.11, -0.14, -0.06, 
##     -0.02, -0.02, -0.02, 0.02, 0.08, 0.08, 0.1, 0.03, 0.11, 0.05, 
##     -0.08, -0.1, -0.06, -0.13, -0.06, 0.55, 0.48, -0.1, -1.2, 
##     -1.43, -1.81, -1.94, -2.23, -2.39, -2.68, -2.78, -2.62, -2.7, 
##     -2.67, -2.36, -2.33, -2.47, -2.17, -2.09, -1.85, -1.94, -1.38, 
##     -1.35, -1.32, -0.9, -0.98, -0.9, -0.72, -0.61, -0.43, 0.11, 
##     -0.06, -0.22, -0.32, -0.96, -1.09, -1.41, -1.49, -1.59, -2.44, 
##     -2.31, -2.46, -2.46, -2.39, -2.39, -2.36, -1.99, -2.02, -1.88, 
##     -1.77, -1.64, -1.62, -1.53, 4.05, 3.97, 3.82, 3.82, 3.23, 
##     3.55, 2.91, 2.89, 2.49, 2.6, 2.42, 2.49, 2.12, 1.93, 1.99, 
##     1.72, 1.61, 1.65, 1.62, 1.57, 1.46, 1.43, 1.35, 1.35, 1.41, 
##     1.41, 1.4, 1.46, 1.36, 1.38, 1.3, 1.24, 1, 0.87, 0.8, 0.51, 
##     -0.11, -0.64, -0.72, -1.09, -1.33, -1.56, -1.57, -2.07, -2.26, 
##     -2.39, -2.52, -2.78, -3.18, -3.28, -2.91, -3.4, -3.26, -2.39, 
##     -2.28, -2.15, -2.07, -1.75, -1.56, -1.24, -1.2, -1, -0.92, 
##     -0.72, -0.45, -0.42, -0.31, 0.11, 0.24, 0.93, 1.2, 1.77, 
##     2.18, 3.93, 4.14, 4.3, 5.06, 5.15, 5.14, 5.54, 4.96, 4.62, 
##     4.7, 4.66, 3.95, 4.22, 4.16, 3.26, 2.76, 2.33, 1.59, 1.46, 
##     1.59, 0.85, 0.93, 1.09, 1.32, 1.32, 1.16, 0.55, 0.71, 0.72, 
##     0.51, 0.31, 0.13, -0.24, -0.43, -0.19, 0.13, 0.43, 1.11, 
##     1.16, 0.79, 0.32, 0.22, 0.24, 0.4, 0.42, 0.1, 0.22, 0.42, 
##     0.34, 0.19, 0.19, 0.16, 0.29, 0.35, 0.35, 0.29, 0.21, 0.18, 
##     0.26, 0.48, 0.58, 0.71, 0.74, 0.93, 0.83, 0.74, 0.67, 0.64, 
##     0.61, 0.59, 0.66, 0.75, 0.82, 0.83, 0.95, 0.67, 0.79, 0.45, 
##     0.48, 0.43, 0.29, 0.19, 0.03, -0.08, 0.1, -0.21, -0.21, -0.06, 
##     -0.1, 0.06, 0.02, 0.06, 0.16, 0.06, -0.32, -0.56, -0.72, 
##     -1.32, -1.73, -1.72, -1.99, -2.18, -1.98, -1.7, -1.65, -1.41, 
##     -1.43, -1.22, -0.87, -0.55, -0.71, -0.42, -0.14, 0.11, 0.05, 
##     0.11, 0.32, 0.43, 0.39, 0.4, 0.47, 0.5, 0.58, 0.98, 1.06, 
##     1.59, 1.62, 2.01, 2.12, 2.18, 2.33, 2.47, 2.31, 2.34, 2.25, 
##     2.14, 2.12, 1.83, 1.93, 0.71, 0.29, 0.05, -0.16, -0.31, -0.35, 
##     -0.4, -0.71, -1.08, -1.27, -1.51, -1.69, -1.77, -1.67, -1.45, 
##     -1.57, -1.64, -1.53, -1.48, -1.28, -1.33, -1.4, -1.41, -1.28, 
##     -1.11, -1.01, -0.58, -0.47, -0.37, -0.35, -0.43, -0.08, 0, 
##     0.11, 0.14, 0.37, 0.34, 0.51, 0.5, 0.82, 0.77, 0.77, 1.14, 
##     1.17, 1.3, 1.64, 1.7, 2.2, 2.25, 2.1, 2.59, 2.2, 2.55, 2.92, 
##     2.52, 2.22, 2.33, 2.41, 1.81, 1.41, 1.53, 1.7, 1.51, 1.38, 
##     1.48, 1.57, 1.35, 1.06, 1.08, 1.04, 1.28, 1.3, 1, 1, 1.03, 
##     1.04, 0.98, 0.88, 0.63, 0.51, 0.5, 0.45, 0.27, 0.27, -0.42, 
##     -0.77, -0.71, -0.77, -1.04, -1.03, -1.14, -1.3, -1.36, -1.32, 
##     -1.27, -1.7, -1.57, -1.28, -1.19, -1.12, -0.64, -0.63, -0.47, 
##     -0.26, -0.11, -0.13, -0.16, -0.05, 0.31, 0.56, 0.5, 0.55, 
##     0.71, 0.66, 0.98, 1, 1.2, 1.27, 1.36, 1.93, 1.93, 2.18, 2.14, 
##     2.57, 2.6, 2.59, 2.89, 3.03, 2.71, 2.38, 2.46, 2.46, 2.33, 
##     2.04, 1.99, 2.1, 1.96, 1.4, 1.46, 1.36, 1.38, 1.4, 1.38, 
##     1.32, 1.3, 1.27, 1.12, 0.29, 0.45, 0.55, 0.48, -0.08, -0.26, 
##     -0.51, -0.79, -0.92, -0.93, -1.28, -1.48, -1.51, -1.54, -1.48, 
##     -1.36, -1.32, -1.41, -1.38, 2.84, 2.71, 3.07, 2.65, 2.36, 
##     1.78, 1.81, 1.86, 1.8, 1.64, 1.61, 1.69, 1.59, 1.49, 1.48, 
##     1.17, 1.14, 1.14, 1.14, 1.11, 1.11, 1, 0.92, 0.87, 0.82, 
##     0.75, 0.71, 0.43, 0.16, 0.11, 0.16, -0.06, -0.21, -0.19, 
##     -0.24, -0.71, -0.83, -1.25, -1.46, -1.57, -1.64, -1.43, -1.38, 
##     -1.25, -1.17, -1.17, -0.95, -0.75, -0.4, -0.27, -0.24, -0.16, 
##     -0.1, -0.03, 0.32, 0.48, 0.64, 0.53, 1.01, 1.12, 1.53, 1.81, 
##     2.39, 2.59, 2.59, 2.63, 2.76, 2.86, 2.76, 2.59, 2.68, 2.49, 
##     2.23, 2.04, 2.02, 1.98, 1.8, 1.81, 1.83, 1.75, 1.73, 1.51, 
##     1.3, 1.17, 1.19, 1.19, 0.98, 0.88, 0.88, 0.61, 0.42, 0.31, 
##     0.35, 0.35, 0.03, -0.26, -0.83, -0.92, -1.01, -1.17, -1.12, 
##     -1.14, -1.38, -1.35, -1.28, -1.64, -1.36, -1.16, -0.87, -0.58, 
##     0, 0.19, 0.35, 0.4, 0.42, 0.53, 0.64, 0.56, 0.61, 0.55, 0.64, 
##     0.67, 0.79, 1.04, 1.25, 1.27, 1.49, 1.8, 1.99, 2.04, 2.57, 
##     2.89, 2.83, 2.94, 3.1, 2.59, 2.52, 2.22, 2.31, 2.23, 2.17, 
##     2.22, 2.36, 2.36, 2.06, 1.3, 1.09, 0.9, 0.82, 0.67, 0.45, 
##     0.39, 0.22, -0.45, -0.71, -0.75, -1, -1.4, -1.43, -1.61, 
##     -1.54, -1.72, -1.86, -1.64, -1.89, -1.77, -1.36, -1.41, -1.4, 
##     -0.95, -0.88, -0.51, -0.47, -0.19, 0.02, 0.19, 0.27, 0.4, 
##     0.63, 0.72, 0.69, 0.64, 0.64, 0.69, 0.87, 1.14, 1.22, 1.43, 
##     1.75, -1.12, -1.12, -0.95, -0.67, -0.51, -0.5, -0.02, 0.05, 
##     0.06, 0.34, 0.64, 1.08, 1.04, 1.59, 1.86, 2.39, 2.59, 2.68, 
##     2.68, 2.62, 2.14, 1.65, 1.88, 1.48, 1.36, 1.49, 1.41, 1.38, 
##     1.09, 1.28, 1.35, 1.33, 1.3, 1.27, 1.04, 0.98, 0.82, 1.25, 
##     0.75, 0.93, 0.88, 0.77, 0.79, 0.71, 0.61, 0.53, 0.83, 0.8, 
##     0.9, 0.79, 0.87, 0.93, 1.12, 1.2, 1.2, 1.32, 1.43, 1.3, 1.09, 
##     1.03, 0.96, 0.95, 0.93, 0.8, 0.92, 0.98, -1.19, -1.24, -0.95, 
##     -0.88, -0.66, -0.61, -0.63, -0.64, -0.22, 0.22, 0.47, 0.48, 
##     0.53, 0.64, 0.67, 0.79, 0.87, 1.11, 1.25, 1.57, 2.39, 3.37, 
##     3.61, 2.92, 3.13, 2.86, 2.86, 3.08, 2.71, 2.54, 2.22, 2.17, 
##     1.45, 1.46, 1.51, 1.49, 1.56, 1.25, 0.88, 0.72, 0.77, 0.9, 
##     0.83, 0.34, 0.26, 0.37, 0.64, 0.8, 1.03, 1.22, 1.4, 1.77, 
##     1.88, 2.09, 2.52, 3.79, 3.74, 3.92, 4.16, 3.98, 3.56, 3.55, 
##     3.36, 2.84, 2.97, 2.83, 2.94, 2.3, 2.76, 2.47, 2.67, 2.38, 
##     1.91, 2.12, 2.3, 1.4, 1.65, 1.64, 1.48, 1.22, 1.06, 0.9, 
##     -2.26, -2.22, -2.23, -2.18, -1.81, -1.41, -1.45, -1.43, -1.54, 
##     -1.61, -1.57, -1.56, -1.8, -1.17, -0.88, -0.48, 0.26, 0.48, 
##     0.66, 0.75, 0.88, 1.08, 1.22, 1.64, 2.28, 2.38, 2.68, 3.18, 
##     2.84, 2.18, 2.28, 2.2, 2.34, 2.25, 2.14, 2.26, 2.7, 2.71, 
##     2.02, 2.01, 2.06, 2.25, 2.2, 2.14, 2.25, 2.06, 1.88, 1.01, 
##     0.85, 0.74, 0.47, 0.27, 0.32, 0.37, 0.26, 0, -0.27, -0.32, 
##     -0.35, -0.48, -0.8, -1, -1.12, -1.57, -1.83, -2.31, -2.44, 
##     -2.46, -2.6, -2.81, -3.21, -3.4, -3.5, -3.61, -3.44, -3.28, 
##     -3.21, -2.99, -2.94, -2.49, -2.31, -2.23, -1.96, -1.51, -1.16, 
##     -1.03, -1.3, -1.41, -1.27, -0.59, -0.21, -0.06, 0.06, 0.19, 
##     0.43, 0.66, 0.93, 1.06, 1.14, 1.19, 1.25, 1.35, 1.53, 1.57, 
##     1.49, 1.67, 1.8, 1.99, 2.09, 2.14, 2.22, 2.25, 3.12, 2.92, 
##     3.02, 3.2, 3.12, 3, 2.52, 2.63, 2.67, 2.57, 2.57, 2.57, 2.62, 
##     2.75, 2.39, 2.25, 2.15, 1.96, 1.7, 1.65, 1.35, 1.33, 1.01, 
##     0.48, 0.24, -0.51, -0.59, -0.61, -0.79, -0.9, -0.9, -1.03, 
##     -1.04, -1.03, -1.16, -1.59, -1.59, -1.7, -1.81, -1.81, -1.98, 
##     -2.22, -2.18, -2.18, -2.17, -2.22, -2.06, -1.4, -2.07, -1.62, 
##     -1.75, -1.2, -1.22, -1.17, -1.03, -0.63, 0.14, 0.37, 0.67, 
##     1.09, 0.75, 0.69, 0.55, 0.24, 0.02, -0.29, -0.42, -0.55, 
##     -0.67, -0.83, -1.01, -1.24, -1.32, -1.67, -1.75, -1.8, -1.8, 
##     -2.09, -2.02, -2.02, -1.7, -1.67, -1.46, 1.59, 1.19, 1.24, 
##     1.27, 1.12, 1.14, 1.28, 1.19, 1.38, 1.51, 1.73, 1.28, 1.28, 
##     1.27, 1.28, 1.32, 1.32, 1.36, 1.43, 1.45, 1.36, 1.27, 1.11, 
##     1.04, 0.72, -0.22, -0.63, -0.77, -1, -1.27, -1.72, -1.86, 
##     -2.1, -2.28, -1.8, -1.73, -1.7, -1.62, -1.62, -1.53, -1.4, 
##     -1.49, -1.4, -1.49, -1.12, -1.32, -1.27, -1.11, -0.9, -0.4, 
##     0.14, 0.42, 0.47, 0.5, 0.79, 0.9, 1.06, 1.11, 1.46, 1.51, 
##     1.56, 1.49, 1.64, 1.62, 1.65, 1.64, 1.77, 1.43, 1.4, 1.53, 
##     1.49, 1.28, 1.28, 1.22, 1.22, 1.27, 1.17, 1.04, 0.95, 0.95, 
##     0.83, 0.79, 0.74, 0.39, 0.14, -0.77, -1.03, -1.2, -1.36, 
##     -1.75, -2.06, -2.15, -2.14, -2.2, -2.22, -2.23, -2.26, -2.17, 
##     -2.01, -2.04, -2.06, -2.04, -1.96, -1.99, -1.7, -1.51, -1.25, 
##     -1.04, -0.82, -0.85, -0.77, -0.32, 0.4, 0.56, 0.61, 0.71, 
##     0.96, 1.03, 1.09, 1.48, 1.32, 1.8, 1.75, 1.86, 1.73, 1.69, 
##     1.77, 1.43, 1.59, 1.61, 1.45, 1.73, 1.81, 1.09, 0.79, 0.66, 
##     0.45, -0.87, -0.98, -1.19, -1.06, -0.98, -0.93, -0.88, -1.01, 
##     -0.93, -0.72, -0.53, -0.11, 0.18, 0.39, 0.85, 1.25, 1.32, 
##     1.53, 2.2, 2.3, 1.72, 1.64, 1.4, -2.57, -2.55, -2.54, -2.55, 
##     -1.85, -1.86, -1.56, -1.14, -1.27, -1.2, -1.01, -0.82, -0.69, 
##     -0.59, -0.27, -0.26, -0.22, -0.02, 0.18, 0.31, 0.51, 0.53, 
##     0.67, 0.72, 0.79, 0.88, 1.11, 1.56, 1.67, 1.67, 1.49, 1.45, 
##     1.59, 1.75, 1.61, 1.2, 1.09, 1.3, 1.46, 1.14, 1.32, 1.19, 
##     1.14, 1.22, 1.12, 1.03, 0.92, 0.66, 0.53, 0.48, 0.22, 0.02, 
##     -0.35, -0.47, -0.61, -1.06, 1.61, 1.88, 1.51, 1.67, 1.25, 
##     1.25, 1.19, 1.06, 1.09, 0.98, 0.72, 0.5, -0.26, -0.43, -0.71, 
##     -0.83, -1.04, -1.54, -2.31, 0.19, -0.13, -0.58, -0.96, -1.53, 
##     -1.67, -1.77, -1.96, -2.2, -2.07, -2.09, -2.26, -2.23, -2.23, 
##     -1.94, -1.96, -1.43, -1.4, -1.57, -1.45, -1.38, -1.2, -1.11, 
##     -1.12, -1.04, -0.8, -0.72, -0.67, -0.43, -0.31, -0.08, 0.03, 
##     0.37, 0.53, 0.71, 0.87, 1.14, 1.3, 1.54, 1.51, 1.65, 1.57, 
##     1.16, 1.27, 0.95, 0.93, 1.09, 1.35, 1.53, 1.54, 1.75, 1.69, 
##     1.86, 1.69, 1.51, 1.62, 1.62, 1.54, 1.49, 1.32, 1.27, 1.43, 
##     1.2, 1.16, 1.06, 0.27, 0.14, 0.06, -0.1, -0.37, -0.39, -0.45, 
##     -0.56, -0.74, -1.35, -1.41, -1.59, -1.86, -1.93, -2.26, -2.5, 
##     -2.81, -2.92, -3.29, -3.36, -3.34, -3.28, -3.05, -2.83, -2.46, 
##     -2.38, 0.08, -0.11, -0.13, -0.16, 0.08, 0, 0, -0.02, -0.08, 
##     -0.05, 0.11, 0.05, 0.05, 0.06, 0.05, 0.02, 0.11, 0.21, 0.21, 
##     0.53, 0.42, -0.05, 0.03, 0, 0, 0.05, 0.03, 0.03, 0.06, 0.03, 
##     0.05, 0.03, 0.06, -0.03, 0.05, 0.05, 0, 0, 0.02, -0.11, -0.21, 
##     3.42, 2.52, 2.76, 2.62, 2.57, 2.55, 1.99, 1.57, 0.96, 0.55, 
##     0.43, -1.11, -2.99, -3.28, -3.89, -4.26, -4.13, -3.45, -3.23, 
##     -3.44, -3.85, -3.03, -3.9, -3.18, -3.69, -2.89, -3.03, -3, 
##     -2.89, -2.59, -2.62, -2.23, -2.04, -1.73, -0.82, -0.69, -0.37, 
##     -0.22, 2.99, 3.32, 2.55, 2.33, 2.44, 1.3, 0.82, 0.24, -0.1, 
##     -0.77, -1.19, -1.8, -2.67, -2.81, -2.73, -3.15, -3.18, -2.95, 
##     -2.81, -3.21, -2.65, -3.23, -2.52, -3.07, -2.78, -2.83, 3.37, 
##     3.53, 3.53, 3.16, 3.03, 3.15, 2.84, 1.57, 0.53, 0.14, -0.13, 
##     -0.48, -1.27, -1.72, -2.02, -2.1, -2.86, -3.44, -3.03, -3.45, 
##     -3.16, -2.92, -2.79, -2.47, -2.83, -2.94, -2.63, -2.6, -2.01, 
##     0.29, 0.95, 1.2, 0.95, 1.86, 2.22, 1.43, 2.17, 2.36, 2.1, 
##     1.59, 1.38, 1.43, 1.45, 1.12, 0.92, 0.71, 0.26, 0.14, 0.18, 
##     0.11, 1.98, 2.02, 1.94, 0.96, 0.5, 0.39, 0.31, -0.02, -0.08, 
##     -0.34, -0.39, -0.85, -1.45, -1.45, -1.78, -2.07, -2.31, -2.49, 
##     -2.49, -2.47, -2.65, -2.76, -2.89, -2.79, -2.86, -2.76, -2.34, 
##     -2.38, -1.4, -1, -0.69, 2.42, 2.1, 2.3, 2.2, 1.51, 1.38, 
##     1.3, 1.2, 1.35, 1.17, 1.06, 0.71, 0.43, 0.34, 0.18, 0.06, 
##     -0.08, -0.16, -0.26, -0.47, -0.64, -0.77, -1.86, 1.83, 1.8, 
##     1.75, 1.41, 1.65, 1.57, 1.53, 1.51, 1.32, 1.25, 0.88, 0.31, 
##     0.26, 0.34, -0.08, -0.24, -0.39, -0.88, -1.16, -1.59, -1.91, 
##     -2.62, -2.06, -2.06, -1.99, -2.18, -2.14, -1.2, -0.56, -0.35, 
##     -0.06, 0.03, 0.39, 0.51, 0.75, 0.71, 1.14, 1.77, 2.04, 1.99, 
##     2.33, 1.96, -4.13, -3.82, -1.86, -0.66, -0.21, 0.29, 1.19, 
##     2.17, 2.55, 2.78, 3.18, 3.6, 3.76, 4, 3.9, 3.97, 4, 3.42, 
##     3.28, 2.84, 2.68, 2.44, 2.36, 2.49, 2.28, 2.02, 1.8, 1.72, 
##     1.72, 1.73, -0.11, -0.03, -0.32, -0.29, -0.26, -0.21, -0.16, 
##     -0.13, -0.1, -0.05, 0, 0.03, 0.03, 0.02, 0.03, 0.08, 0.06, 
##     0.06, 0.05, 0, 0.05, 0.08, 1.85, 1.96, 2.28, 2.7, 2.68, 2.49, 
##     2.42, 2.79, 3.32, 2.95, 3.03, 2.92, 2.3, 1.98, 1.91, 1.94, 
##     1.48, 1.19, 0.69, -0.32, -0.67, -1.62, -1.98, -3.02, -3.47, 
##     -3.71, -3.45, -3.47, -3.13, -2.89, -2.62, -2.47, -2.38, -2.36, 
##     -2.2, 0, 0.74, 1.12, 1.38, 1.51, 2.17, 2.25, 2.47, 2.68, 
##     2.67, 2.67, 2.52, 2.75, 2.76, 2.52, 2.49, 2.28, 1.49, 1.35, 
##     1.19, 0.77, 0.02, -0.34, -0.87, -1.09, -1.33, -1.81, -2.06, 
##     -2.25, -2.87, -3.13, -3.34, -3.26, -3.18, -3.05, -2.86, -2.79, 
##     -1.19, -1.43, -1.7, -2.15, -2.36, -2.47, -2.62, -2.76, -2.92, 
##     -2.79, -2.38, -2.17, -2.15, -2.36, -0.06, 0.83, 1.11, 1.3, 
##     1.69, 2.09, 2.54, 2.46, 2.62, 2.34, 2.44, 2.36, 2.44, 2.63, 
##     2.62, 2.75, 2.71, 2.68, 2.34, 2.36, 2.07, 1.81, 1.41, 0.88, 
##     0.56, -0.13, -0.51, -0.83, -1.41, -1.61, -1.81, -1.99, -2.22, 
##     -2.67, -2.89, -3.26, -3.37, -3.63, -3.07, -2.84, -2.65, -2.55, 
##     -2.3, -2.2, -2.26, -1.86, -1.16, -0.53, 0.8, 0.93, 1.51, 
##     1.64, 1.69, 2.22, 2.42, 2.22, 2.52, 2.46, 2.38, 2.78, -0.9, 
##     -1.77, -1.86, -1.96, -2.12, -2.34, -2.38, -2.71, -2.71, -2.75, 
##     -2.73, -2.63, -2.73, -2.79, -2.38, -2.59, -1.88, -1.43, -1.19, 
##     0.05, 1.24, 2.62, 2.14, 2.5, 2.57, 2.52, 1.93, 1.88, 1.83, 
##     1.73, 1.54, 1.45, 1.33, 1.17, 1.17, 0.88, 0.87, 0.79, 0.4, 
##     0.34, 0.22, 0.1, 0.1, 0.05, -0.1, -0.51, -0.77, -1.19, -1.25, 
##     -1.51, -1.64, -1.88, -2.14, -2.14, -2.49, -2.47, -2.52, -2.41, 
##     1.56, 2.07, 1.75, 1.67, 1.73, 1.43, 1.56, 1.12, 0.8, 0.66, 
##     0.47, 0.27, 0.14, 0.14, 0.11, 0.02, -0.22, -0.16, -0.66, 
##     -0.87, -1.17, -1.11, -0.8, -1.25, -2.36, -2.09, -2.7, -2.71, 
##     -2.22, -1.7, -1.01, -0.48, -0.22, 0.08, 0.26, 0.26, 0.24, 
##     0.08, -0.22, -0.61, -0.8, -0.74, -0.85, -1.3, -1.89, -2.39, 
##     -2.47, -2.81, -2.73, -2.46, -0.82, -0.56, -0.19, 0.67, 2.04, 
##     2.17, 2.49, 2.28, 2.97, 2.2, 2.14, 2.73, 2.81, 1.43, 0.14, 
##     0.08, 0.18, -0.1, 0.02, -0.03, -0.05, -0.22, -0.19, -0.35, 
##     -0.55, 2.44, 2.71, 2.31, 2.06, 2.12, 1.96, 1.56, 1.88, 1.91, 
##     0.88, 0.79, 0.85, 0.51, 0.37, 0.31, 0.06, 0.1, -0.19, -0.21, 
##     -0.45, -0.82, -1.01, -1.32, -1.8, -1.81, -1.99, -2.67, -2.97, 
##     -3.28, -3.24, -3.31, -3.23, -3.24, -2.92, -2.73, -2.25, -1.91, 
##     -0.21, 1.59, 1.98, 2.25, 2.3, 2.6, 2.41, 2.31, 2.34, 2.36, 
##     1.96, 1.88, 0.27, 0.13, 0.18, 0.08, 0.11, -0.08, -0.22, -0.47, 
##     -0.63, -0.74, -1.03, -1.51, -1.64, -1.73, -1.88, -2.02, -2.23, 
##     -2.38, -2.65, -2.89, -3.44, -3.42, -3.21, -2.99, -1.36, -1.51, 
##     -1.81, -2.01, -2.14, -2.28, -2.39, -2.44, -2.41, -2.52, -2.55, 
##     -2.57, -2.79, -2.79, -2.86, -2.65, -2.5, -2.42, -2.12, -1.8, 
##     -1.51, -0.08, 0.5, 0.83, 1.86, 2.6, 2.49, 2.44, 2.81, 3.03, 
##     2.95, 2.12, 2.71, 1.8, 2.09, 2.38, 2.1, 2.06, 2.04, 0.95, 
##     0.4, 0.1, -0.1, -0.29, -0.27, -0.26, -0.29, -0.37, -0.37, 
##     -0.39, -0.82, -1.2, -1.57, -1.83, -1.98, -2.2, -2.5, -2.86, 
##     -2.91, -2.87, 0.55, 0.32, 0.27, 0.26, 0.05, 0.03, -0.13, 
##     -0.18, -0.24, -0.26, -0.31, -0.66, -0.95, -1.14, -1.72, -1.89, 
##     -2.14, -2.36, -2.36, -2.42, -2.41, -2.33, -2.42, -2.34, -2.33, 
##     -0.83, -0.11, 1.01, 1.2, 1.98, 1.98, 2.28, 1.99, 2.65, 2.2, 
##     2.76, 2.87, 2.36, 2.36, 2.04, 2.17, 2.17, 1.53, 1.25, 1.3, 
##     0.96, 0.61, 0.61, 0.56, 0.43, 0.18, 0.22, 0.22, 0.08, -0.13, 
##     -0.5, -0.92, -1.3, -1.54, -1.77, -1.91, -2.01, -2.15, -2.38, 
##     -2.6, -2.62, -2.52, -2.76, -2.5, -2.44, -2.28, -1.08, 0.26, 
##     1.16, 1.45, 1.65, 1.81, 2.02, 2.26, 2.28, 2.59, 3.03, 2.06, 
##     1.91, 0.83, 0.26, 0.26, 0.11, -0.1, -0.42, -0.5, -0.72, -0.88, 
##     -1.48, -2.02, -2.44, -2.54, -2.67, -2.76, -2.75, -2.81, -2.86, 
##     -2.87, -2.63, -2.6, -2.55, -2.33, -1.77, -1.36, -0.13, 0.69, 
##     2.25, 2.67, 2.46, 2.59, 2.91, -0.75, -1.03, -1.35, -1.56, 
##     -1.78, -1.35, -1.48, -1.43, -1.45, -1.64, -1.65, -1.49, -1.27, 
##     -0.37, 0, 0.61, -1.25, -2.01, -2.01, -2.04, -1.61, -1.93, 
##     -1.62, -1.8, -1.54, -1.03, -1.04, -0.95, -0.74, 0.48, 0.69, 
##     0.75, 1.32, 1.36, 1.46, 1.54, 1.48, 1.61, 1.67, 1.77, 1.77, 
##     1.65, 1.49, 1.72, 1.7, 1.65, 1.45, 1.33, 1.45, 1.33, 1.24, 
##     1.33, 1.2, 0.92, 0.59, 0.24, -0.39, -0.77, -1.04, -1.2, -1.3, 
##     -1.41, -1.59, -1.91, -2.15, -2.12, -1.91, -1.8, -1.86, -1.94, 
##     -1.73, -1.57, -1.65, -1.61, -1.56, -1.53, -1.51, -1.38, -1.38, 
##     -1.38, -1.22, -1.17, -1.16, -0.85, 0.34, 0.5, 0.75, 0.92, 
##     0.87, 1.2, 1.33, 1.35, 1.75, 1.7, 1.72, 2.06, 1.98, 2.07, 
##     2.07, 1.99, 1.89, 1.51, 1.25, 1.35, 1.04, 1.16, 0.95, 1.78, 
##     1.67, 1.77, 1.73, 1.83, 1.48, 1.57, 1.33, 1.32, 1.61, 1.43, 
##     1.03, 1.01, 0.74, 0.66, -0.29, -0.61, -0.67, -0.8, -0.82, 
##     -0.96, -1.32, -1.41, -1.49, -1.77, -1.89, -2.02, -1.83, -1.88, 
##     -1.91, -1.67, -1.54, -1.46, -1.49, -1.41, -1.16, -1.16, -1.24, 
##     -1.35, -1.38, -1.35, -0.31, -0.08, 0.1, 0.77, 0.8, 1.06, 
##     1.11, 1.25, 1.7, 1.64, 1.85, 1.91, 1.83, 1.73, 1.73, 2.04, 
##     1.89, 1.46, 1.2, 1.22, 1.28, 1.3, 1.25, 1.16, 1.06, 0.95, 
##     0.75, 0.55, 0.16, -0.06, -0.21, -0.4, -0.58, -0.64, -1.3, 
##     -1.4, -1.4, -1.81, -1.91, -1.88, -1.83, -1.67, -1.72, -1.69, 
##     -1.73, -1.7, -1.33, -1.24, -1.4, -1.43, -1.45, -1.38, -1.46, 
##     -1.54, -1.36, -1.25, -0.87, 0.43, 0.58, 0.61, 0.85, 0.88, 
##     0.96, 1.09, 1.11, 1.75, 2.31, 2.3, 2.18, 1.89, 1.85, 1.46, 
##     1.64, 1.64, 1.48, 1.33, 1.28, 1.04, 0.87, 0.77, 0.19, 0.05, 
##     -0.21, -0.37, -0.55, -0.92, -1.28, -1.48, -1.65, -1.86, -1.78, 
##     -1.7, -1.67, 1.27, 1.53, 1.69, 2.17, 2.57, 2.06, 2.25, 2.04, 
##     2.54, 2.49, 1.35, 1.09, 0.66, 0.45, 0.1, -0.14, -0.24, -0.27, 
##     -0.37, -0.37, -0.39, -0.77, -0.88, -0.9, -1.32, -1.83, -1.88, 
##     -2.17, -1.99, -1.56, -0.79, -0.77, -0.72, -1.04, -0.95, -1, 
##     -1.01, -1.08, -1.12, -1.14, -1.06, -0.98, -0.83, -0.56, -0.48, 
##     -0.29, 0.98, 1.45, 1.85, 2.14, 1.88, 1.93, 1.81, 1.78, 1.91, 
##     2.18, 1.85, 1.62, 1.59, 1.7, 1.2, 3.26, 2.83, 2.81, 2.7, 
##     2.41, 2.17, 2.17, 1.17, 0.85, -0.1, -0.43, -1.06, -1.59, 
##     -1.73, -2.22, -2.31, -3.12, -2.54, -2.41, -2.38, -3.07, -2.44, 
##     -2.79, -2.46, -2.91, -2.71, -2.57, -2.65, -2.71, -2.7, -2.5, 
##     -1.99, -1.8, -1.12, -0.8, -0.03, 0.18, 0.39, 0.66, 0.88, 
##     1.19, 1.61, 1.85, 2.49, 2.67, 2.86, 2.94, 2.94, 3.2, 3.2, 
##     3.2, 3.44, 3.02, 3.63, 3.05, 2.81, 2.97, 2.47, 0.96, 0.56, 
##     0.13, -0.19, -0.37, -0.74, -1.35, -1.99, -2.17, -3.68, -3, 
##     -3.82, -3.69, -2.44, -2.81, -2.62, -2.86, -3.2, -3, -2.46, 
##     -2.38, -1.69, -1.61, -1.72, -1.8, -1.88, -1.93, -1.38, -0.9, 
##     -0.45, -0.51, -0.5, -0.37, -0.24, -0.19, -0.11, -0.1, -0.06, 
##     -0.03, 0, 0.06, 0.06, 0.16, 0.39, 1.04, 1.61, 1.69, -5.23, 
##     -4.78, -4.82, -4.48, -4.42, -4.9, -4.4, -5.03, -4.87, -1.7, 
##     -1.33, -1.33, -0.67, -0.29, 0.87, 1.04, 1.43, 1.8, 2.14, 
##     3.07, 3.52, 3.95, 4.29, 4.53, 4.58, 4.61, 4.66, 4.61, 4.58, 
##     4.38, 4.21, 3.9, 3.71, 3.39, 2.54, 1.53, 1.2, 0.63, 0, -0.72, 
##     -1.43, -1.99, -2.47, -2.81, -3.31, -3.58, -4.58, -5.04, -4.59, 
##     -4.48, -4.75, -4.87, -4.54, -4.35, -4.54, -4.3, -3.81, -4.14, 
##     -3.32, -3.34, -3.73, -4.21, -3.98, -2.15, -0.85, -0.8, -0.58, 
##     0, 0.63, 1.03, 1.33, 2.02, 2.52, 3.21, 3.42, 3.56, 3.79, 
##     3.92, 4.43, 4.64, 5.19, 4.85, 5.03, 5.11, 4.78, 4.59, 4.5, 
##     4.3, 2.99, 2.1, 2.01, 1.2, -0.67, -1.54, -2.14, -2.52, -2.71, 
##     -2.79, -3.03, -3.63, -4.85, -4.99, -5.2, -5.27, -4.82, -4.43, 
##     -4.53, -4.62, -4.27, -4.26, -4.35, -3.9, -3.29, -1.57, -1.2, 
##     -1.16, -0.58, 0.11, 1.45, 1.85, 2.44, 2.83, 3.13, 3.45, 3.82, 
##     4.13, 5.01, 5.19, 5.07, 5.36, 5.4, 5.03, 4.99, 4.61, 4.29, 
##     4.32, 3.68, 3.03, 2.38, 2.15, 1.62, 0.14, -1.09, -1.81, -3.07, 
##     -3.5, -4.45, -4.69, -5.03, -4.87, -4.77, -4.21, -4.29, -4.03, 
##     -3.98, -4.08, -3.93, -4.17, -4.27, -3.66, -3.64, -3.4, -3.15, 
##     -3.15, -3.15, -2.97, -2.34, -2.14, -1.54, -1.17, -1.04, -0.71, 
##     -0.53, 0.31, 0.58, 1.72, 3.28, 3.55, 3.84, 3.98, 4.24, 4.48, 
##     4.77, 4.98, 4.69, 4.74, 4.53, 3.07, 2.57, 2.06, 1.86, 1.14, 
##     -1.06, -1.77, -2.6, -3.39, -3.71, -4.13, -4.32, -4.45, -4.54, 
##     -4.45, -4.53, -4.19, -3.61, -3.68, -3.74, -3.82, -4.14, -4.16, 
##     -3.29, -2.17, -1.27, -0.9, -0.88, -0.72, -0.45, -0.05, 0.47, 
##     0.77, 1.08, 2.5, 2.75, 3.15, 4.24, 4.48, 4.91, 4.95, 5.03, 
##     5.03, 4.82, 4.59, 4.42, 4.17, 3.55, 3.5, 2.86, 2.42, 2.28, 
##     2.12, 1.85, 0.43, -0.87, -1.99, -2.38, -2.67, -2.86, -3.08, 
##     -4.11, -4.11, -4.38, -4.66, -4.72, -5.03, -4.87, -4.27, -4.7, 
##     -4.78, -4.37, -3.63, -3.89, -4.08, -4.56, -4.01, -1.94, -1.38, 
##     -1.12, -0.11, 0.31, 0.71, 1.78, 2.07, 2.36, 2.94, 3.39, 3.87, 
##     4.16, 4.24, 4.59, 4.85, 4.78, 4.74, 4.74, 4.24, 4.16, 4.26, 
##     4.11, 3.82, 3.69, 3.5, 3.15, 3.1, 3.02, 2.78, 2.5, 2.07, 
##     -2.59, -2.81, -2.94, -3.1, -3.58, -3.82, -3.73, -3.68, -4.72, 
##     -4.77, -5.07, -4.32, -4.21, -3.74, -4.09, -4.05, -4.05, -3.82, 
##     -3.84, -4.01, -4.05, -3.97, -2.81, -2.3, -1.83, -1.22, -0.29, 
##     0.1, 0.98, 1.56, 2.3, 2.65, 3.69, -2.26, -3.15, -3.2, -3.77, 
##     -4.06, -4, -4.09, -3.89, -3.87, -3.2, -3.24, -2.97, -3.08, 
##     -3.12, -2.95, -3.64, -3.34, -3.31, -3.37, -3.31, 0.67, 1.04, 
##     1.98, 1.98, 2.57, 2.81, 3.39, 3.68, 2.81, 3.1, 1.8, 1.33, 
##     1.2, 0.42, -0.42, -1.01, -1.62, -1.93, -2.79, -3.12, -3.63, 
##     -4.01, -4.03, -3.9, -3.76, -3.82, -3.9, -2.92, -2.6, -2.28, 
##     -2.04, -2.04, -1.94, -0.87, -0.48, 0.06, 0.55, 0.95, 2.76, 
##     3.36, 3.26, 3.56, 3.31, 3.56, 3.39, 2.99, 3.28, 2.94, 2.76, 
##     2.75, 2.67, 2.65, 2.02, 1.89, 1.8, 0.96, 0.53, 0.13, 0.05, 
##     -0.02, -0.21, -0.24, -0.22, -0.13, 0.06, 0, -0.13, -0.06, 
##     -0.03, -0.02, 0, -0.08, 0.02, -0.06, -0.11, -0.16, -0.21, 
##     -0.21, -0.16, -0.21, -0.21, -0.22, -0.16, -0.22, -0.24, -0.29, 
##     -0.37, -0.43, -0.51, -0.9, -1, -1.09, -1.22, -1.49, -1.69, 
##     -2.25, -2.33, -2.71, -2.81, -2.99, -2.94, -2.99, -2.95, -2.83, 
##     -2.68, -2.68, -2.49, -2.39, -2.92, -2.87, -2.94, -2.52, -2.07, 
##     -1.62, -1.24, -0.79, -0.27, 0.05, 1.4, 2.04, 2.31, 2.47, 
##     2.46, 2.34, 2.33, 2.22, 2.09, 2.18, 2.07, 1.41, 1.27, 0.34, 
##     0.06, -0.27, -0.98, -1.49, -1.77, -2.12, -2.3, -2.75, -2.83, 
##     -3.05, -2.91, -2.92, -2.67, -2.31, -2.18, -0.82, -0.05, 0.67, 
##     2.06, 2.09, 2.38, 2.62, 2.26, 2.34, 2.33, 2.22, 2.36, 2.5, 
##     2.52, 2.23, 1.93, 1.61, 1.43, 0.8, 0.51, 0.24, -0.03, -0.58, 
##     -1.25, -1.53, -1.64, -1.94, -2.06, -2.22, -2.2, -2.47, -2.36, 
##     -2.34, -2.25, -2.26, -2.2, -2.15, -2.04, -1.91, 0.79, 1.19, 
##     1.57, 1.78, 1.88, 1.98, 2.2, 2.39, 2.28, 2.59, 2.6, 2.57, 
##     2.31, 2.18, 2.1, 1.53, 1.28, 0.93, 0.51, 0.19, -0.14, -0.79, 
##     -1.03, -1.24, -1.41, -1.62, -1.91, -2.14, -2.52, -2.7, -2.75, 
##     -2.79, -2.67, -2.57, -2.62, -2.87, -2.99, -3.1, -1.88, -0.31, 
##     0.69, 1.12, 1.8, 2.46, 2.34, -2.78, -2.91, -2.99, -2.97, 
##     -2.91, -2.65, -2.63, -2.65, -2.57, -2.57, -2.46, -2.31, -2.22, 
##     -2.26, -0.74, 0.59, 0.9, 1.59, 1.8, 2.18, 1.94, 2.6, 2.42, 
##     2.36, 2.34, 2.33, 2.55, 2.49, 1.94, 1.59, 1.46, 1.08, 0.79, 
##     0.55, 0.27, -0.02, -0.95, -1.4, -1.65, -2.55, -2.67, -2.67, 
##     -2.97, -3.05, -3.13, -2.52, -2.36, -1.86, -1.69, -1.46, -0.83, 
##     0.92, 1.12, 1.41, 1.72, 0.03, -0.05, -0.08, -1.11, -2.04, 
##     -2.2, -3.37, -3.05, -3.82, -3.73, -2.25, -1.11, 0, 0.95, 
##     1.8, 2.04, 2.01, 2.44, 2.49, 3.53, 2.86, 2.7, 1.81, 2.23, 
##     1.22, 1.64, 0.77, -0.42, -0.35, -0.87, -1.61, -2.36, -2.36, 
##     -2.52, -2.86, -3.16, -2.94, -2.92, -3.26, -3.29, -3.02, -0.24, 
##     1.17, 1.69, 2.02, 2.46, 2.59, 1.93, 3.71, 1.86, 3.32, 2.2, 
##     2.83, 2.68, 1.51, 1.17, 0.4, 0.4, -0.14, -0.18, -0.19, -0.26, 
##     -0.29, -0.4, -1.53, -2.28, -3.05, -3.16, -3.16, -3.08, -3.08, 
##     -2.79, -2.79, -2.91, -3.05, -2.36, -1.77, -0.85, -0.05, 1.51, 
##     2.42, 2.99, 2.1, 2.3, 3.53, 3.1, 3.12, 3.32, 0.64, 0.16, 
##     -0.11, -0.39, -0.61, -0.8, -1, -1.72, -2.97, -3.12, 0.45, 
##     0.27, 0.06, 0.03, 0.05, -0.06, -0.24, -1.04, -1.94, -2.18, 
##     -2.68, -2.81, -3.16, -3.47, -3.28, -3.28, -3.28, -3.28, -3.28, 
##     -2.94, -2.73, -2.73, -2.81, -2.31, -1.28, -0.39, 0.95, -2.5, 
##     -2.86, -2.86, -2.86, -3.36, -3.36, -3.03, -3.39, -3.9, -3.45, 
##     -1.4, 0.39, 1.73, 1.86, 2.04, 2.76, 2.34, 3.39, 2.41, 3.4, 
##     3.71, 2.42, 3.05, 3.02, 1.94, 2.62, 2.1, 1.38, 0.74, -0.11, 
##     -0.71, -0.87, -1.12, -1.46, -2.09, -2.33, -2.57, -3.42, -3.4, 
##     -3.02, -4.22, -3.73, -3.89, -3.77, -3.18, 0.21, 1.09, 1.09, 
##     1.73, 2.02, 2.33, 2.62, 3.02, 2.79, 2.63, 2.02, 2.81, 3.13, 
##     1.8, 1.4, 2.22, 1.81, 0.95, 1.01, -0.14, -0.61, -0.83, -0.95, 
##     -1.25, -2.28, -2.76, -2.94, -3.02, -2.94, -2.91, -2.44, -2.41, 
##     -2.23, -1.67, -1.67, -1.67, -1.67, -1.67, -0.75, 0.19, 0.19, 
##     1.03, 1.27, 2.18, 2.14, 2.68, 2.73, 2.2, 2.17, 2.68, 2.17, 
##     1.61, 1.2, 1, 0.61, 0.21, -0.03, -0.48, -1.01, -2.17, -2.18, 
##     -2.63, -2.33, -2.46, -2.71, -2.46, -2.42, -1.19, 0.77, 1.2, 
##     1.49, 1.53, 1.56, 1.93, 2.1, 2.02, 2.25, 3.02, 2.84, 2.81, 
##     2.81, 2.49, 2.1, 2.39, 2.7, 2.33, 1.85, 0.82, 0.9, 0.08, 
##     -0.31, -0.58, -0.93, -1.16, -1.3, -2.14, -2.34, -2.46, -3.24, 
##     -3.87, -3.42, -3.15, -2.87, -2.97, -2.57, 0.64, -0.02, -0.03, 
##     0.02, 0.05, 0.08, 0.02, 0.05, 0.03, -0.03, -0.08, 0.02, 0, 
##     -0.05, -0.06, -0.1, -0.11, -0.05, -0.03, -0.08, -0.08, -0.02, 
##     -0.05, 0.02, -0.06, 0.1, 0.11, 0.08, 0.06, 0.08, 0.08, 0.06, 
##     -0.02, 0.03, 0.03, 0, 0.05, 0.11, 0.02, -0.03, -0.08, -0.08, 
##     0.03, -0.05, -0.11, -0.11, -0.13, -0.1, -0.05, -0.03, -0.1, 
##     -0.05, 0.02, 0.03, 0.02, 0.03, 0.06, 0.03, 0.05, -0.03, 0, 
##     0.03, 0.06, 0.05, 0.05, 0.03, 0.05, 0.02, 0.03, 0, 0.02, 
##     0.02, -0.02, 0.02, -0.02, -0.06, -0.1, -0.02, -0.06, -0.06, 
##     -0.06, -0.06, -0.05, -0.03, 0, 0.02, 0.03, 0.03, 0.06, 0.05, 
##     0.05, 0.08, 0.11, 0.13, 0.21, 0.27, 0.37, 0.4, 0.39, 0.31, 
##     0.16, 0.27, 0.26, 0.16, 0.05, 0.16, 0.1, 0.06, -0.03, -0.1, 
##     -0.1, -0.14, -0.34, -0.45, -0.47, -0.61, -0.74, -0.95, -1.04, 
##     -1.22, -1.22, -0.95, 0.48, 0.56, 0.64, 0.64, 0.64, 0.66, 
##     0.74, 0.88, 0.88, 0.75, 0.64, 0.02, 0.05, 0.06, 0.05, 0, 
##     0.1, 0.14, 0.08, 0.08, 0.05, -0.11, -0.14, -0.05, -0.06, 
##     -0.05, -0.03, 0, -0.11, -0.02, -0.05, 0, 1.89, 1.94, 2.78, 
##     2.92, 2.99, 2.84, 2.75, 2.65, 2.5, 2.47, 2.52, 2.44, 2.38, 
##     2.52, 2.38, 2.34, 2.33, 2.02, 2.04, 1.54, 0.88, 1.09, 1.01, 
##     1.54, 2.04, 2.25, 2.41, 3.02, 2.59, 2.62, 2.92, 2.59, 2.55, 
##     1.36, 1.4, 1.43, 1.69, 1.62, 1.51, 1.53, 1.38, -1.25, -1.27, 
##     -1.17, -1.19, -1.17, -1.06, -0.77, -0.71, -0.64, -0.63, -0.71, 
##     -0.47, -0.14, -0.05, 0.05, 0.05, 0.21, 0.56, 0.61, 0.61, 
##     0.77, 0.82, 0.9, 0.92, 1.45, 1.61, 2.17, 2.55, 2.46, 2.89, 
##     2.79, 2.52, 2.97, 2.46, 2.09, 2.22, 2.41, 2.02, 1.89, 2.12, 
##     1.65, 1.56, 1.72, 1.8, -1.91, -1.8, -1.94, -1.73, -1.65, 
##     -1.69, -1.57, -1.25, -0.88, -0.55, -0.51, -0.16, -0.37, -0.27, 
##     0.1, 0.18, 0.11, 0.1, 0.31, 0.26, 2.95, 2.81, 3, 2.78, 2.65, 
##     2.34, 2.28, 2.54, 2.55, 2.33, 2.2, 2.14, 2.33, 2.23, 1.98, 
##     1.8, 1.67, 1.4, 1.32, 1.28, 0.9, 0.66, 0.64, -1.69, -1.38, 
##     -1.53, -1.53, -1.46, -1.51, -1.59, -1.64, -1.3, -1.24, -1.51, 
##     -1.04, -1.11, -1.14, -0.98, -0.88, -0.88, -0.74, -0.5, -0.1, 
##     0.06, 0.29, 0.29, 0.31, 0.29, 0.35, 0.53, 0.64, 0.63, 0.55, 
##     0.64, 0.59, 0.53, 0.59, 0.51, 0.43, 0.53, 0.66, 0.64, 0.55, 
##     0.58, 0.75, 0.79, 0.88, 1.03, 1.46, 1.22, 0.87, -0.4, -0.02, 
##     0.95, 1.25, 1.7, 1.96, 2.06, 2.55, 2.57, 2.59, 2.92, 2.89, 
##     2.83, 3.21, 2.42, 1.81, 1.75, 1.96, 1.93, 1.54, 1.43, 1.08, 
##     1.16, 1.12, 0.9, 0.64, 0.66, 0.59, 0.5, 0.47, 0.37, 0.24, 
##     -0.06, -0.27, -0.74, -0.85, -1.11, -1.65, -1.8, -1.86, -1.78, 
##     -1.75, -1.17, -1.11, -1.04, -0.79, -0.48, -0.31, -0.11, 0.31, 
##     0.61, 0.75, 1.33, 1.51, 1.69, 1.8, 1.8, 1.91, 2.2, 2.62, 
##     2.71, 2.55, 2.63, 2.63, 2.5, 2.52, 2.42, 1.98, 2.38, 1.88, 
##     1.77, 1.94, 2.04, 1.88, 1.45, 1.19, 1, 1.01, 0.8, 0.74, 0.53, 
##     -0.06, -0.9, -1.04, -1.09, -1.36, -1.32, -1.57, -1.65, -1.48, 
##     -1.38, -1.48, -1.4, -1.33, -1.17, -0.93, -1.08, -0.55, -0.56, 
##     -0.43, 0.35, 0.5, 1.01, 1.09, 1.16, 1.25, 1.33, 1.59, 1.75, 
##     2.1, 2.01, 2.49, 2.67, 2.65, 2.54, 2.22, 2.57, 2.15, 1.81, 
##     1.56, 1.48, 1.61, 1.4, 1.17, 1.04, 0.61, 0.51, 0.32, 0.19, 
##     -0.03, -0.4, -0.5, -0.67, -0.82, -0.93, -0.95, -1.14, -1.38, 
##     -1.51, -1.75, -1.72, -1.64, -1.57, -1.48, -1.33, -1.2, -1.22, 
##     -1.25, -0.9, 2.18, 2.15, 1.96, 1.99, 1.46, 1.53, 1.36, 0.98, 
##     0.93, 1.08, 0.96, 0.79, 0.71, 0.66, 0.75, 0.32, -0.83, -0.58, 
##     -0.51, -0.1, -0.06, 0.47, 0.82, 0.88, 0.88, 1, 1.19, 1.17, 
##     1.28, 1.32, 1.3, 1.65, 1.67, 1.99, 2.14, 2.6, 2.75, 2.55, 
##     2.47, 2.79, 2.91, 2.54, 1.19, 1.28, 1.19, 0.83, 0.55, 0.08, 
##     -0.11, -0.29, -1.25, -1.48, -1.61, -1.65, -1.99, -2.1, -2.15, 
##     -2.06, -1.96, -1.77, -1.69, -1.43, 0.71, 0.75, 0.74, 0.83, 
##     0.83, 0.95, 0.83, 0.5, 0.24, 0.24, 0.24, 0.27, 0.4, 0.53, 
##     0.56, 0.55, 0.69, 1.01, 0.92, 1.03, 0.66, 0.4, 0, 0.39, 0.37, 
##     0.45, 0.51, 0.26, 0.39, 0.48, 0.47, 0.4, 0.43, 0.56, 0.55, 
##     0.64, 0.64, 0.75, 0.96, 0.96, 1.16, 1.59, 1.56, 1.88, 1.96, 
##     2.09, 2.25, 2.26, 2.47, 2.55, 2.5, 1.14, 1.09, 1.03, 0.85, 
##     0.85, 0.75, 0.77, 0.19, -0.51, -0.67, -0.87, -1.12, -1.35, 
##     -1.38, -1.7, -1.61, -1.72, -2.01, 1.24, 0.79, 0.88, 0.79, 
##     0.42, 0.21, 0.11, 0.06, 0.02, -0.06, -0.06, -0.1, -0.61, 
##     -0.71, -1.38, -1.43, -1.22, -1.4, -1.2, -1.24, -1.16, -1.09, 
##     -1.38, -1.46, -1.35, -1.17, -0.96, -0.75, -0.85, -0.8, -0.47, 
##     -0.45, 0.21, 0.5, 0.66, 0.74, 0.77, 0.83, 0.8, 0.8, 1, 1.4, 
##     1.45, 1.3, 1, 0.66, 0.58, 0.58, 0.47, 0.39, 0.37, 0.32, -0.02, 
##     -0.34, -1.04, -0.95, -1.11, -1.2, -1.28, -1.81, -2.06, -2.01, 
##     -2.2, -1.89, -1.88, -1.94, -1.65, -1.4, -1.35, -1.48, -0.98, 
##     -0.71, -0.59, 0.05, 0.24, 0.45, 0.48, 0.83, 0.95, 1, 1.14, 
##     1.09, 1.4, 1.28, 1.69, 1.69, 0.27, -0.14, -0.31, -0.51, -0.64, 
##     -0.72, -0.9, -1.46, -1.51, -1.54, -1.51, -1.56, -1.67, -1.73, 
##     -1.75, -1.72, -1.75, -1.8, -1.88, -1.93, -1.78, -1.83, -1.45, 
##     -1.12, -1.33, -1.01, -0.92, 0.56, 0.58, 0.5, 0.64, 0.8, 1.24, 
##     1.35, 1.36, 1.43, 1.61, 1.8, 2.02, 1.91, 1.64, 1.75, 2.14, 
##     1.73, 1.78, 1.91, 2.06, 1.93, 1.69, 1.28, 1.2, 1.11, 0.8, 
##     0.55, 0.31, 0.18, 0.08, -0.05, -0.35, -0.83, -1.04, -1.28, 
##     -1.65, -2.22, -2.39, -2.22, -2.15, -2.17, -2.2, -1.91, -1.78, 
##     -1.57, -1.36, -1.4, -1.3, -0.79, -0.53, -0.29, -0.24, -0.32, 
##     -0.16, -0.1, -0.03, 0.11, 0.27, 0.42, 0.5, 0.71, 0.82, 1.04, 
##     1.22, 1.46, 1.38, 1.03, -0.05, -0.32, -0.45, -0.66, -0.87, 
##     -0.98, -1.4, -1.36, -2.28, -2.26, -2.31, -2.25, -2.31, -2.28, 
##     -2.25, -2.3, -2.12, -2.04, -2.01, -1.93, -1.94, -1.33, -1.45, 
##     -1.12, -1.16, -1.06, -0.87, -0.93, -0.88, -0.69, -0.5, -0.24, 
##     -0.1, 2.39, 2.01, 1.7, 1.41, 0.79, 0.4, -0.06, -0.48, -1.03, 
##     -1.14, -1.41, -2.25, -2.79, -2.68, -2.83, -2.86, -2.6, -2.57, 
##     -1.51, -1.36, -1.41, -1.24, -0.71, -0.26, -0.05, 0.03, 0.02, 
##     -0.05, -0.11, -0.26, -1.59, -1.88, -1.89, -1.88, -1.88, -1.17, 
##     -1.2, -0.82, -0.83, -1.03, -1.77, -1.46, -0.66, 0.19, 1.04, 
##     1.03, 1.01, 1.22, -1.41, -1.48, -1.09, -1.17, -1.28, -1.32, 
##     -1.33, -1.28, -1.28, -1.4, -1.35, -1.24, -1, -0.9, 0.13, 
##     0.35, 0.53, 0.67, 0.8, 1.01, 1.04, 1.17, 1.51, 1.48, 1.59, 
##     1.85, 1.85, 1.86, 1.89, 1.93, 1.94, 1.94, 0.72, 0.56, 0.26, 
##     -0.02, -0.4, -0.51, -0.61, -0.72, -0.83, -0.9, -1.27, -1.49, 
##     -2.17, -2.17, -1.49, 0.67, 0.95, 1.08, 1.24, 1.59, 1.73, 
##     1.96, 2.14, 2.02, 2.15, 2.01, 1.89, 1.69, 1.69, 1.24, 1.03, 
##     1.09, 1.2, 1.22, 0.82, 0.4, 0.24, -0.02, -0.35, -1, -1.03, 
##     -1.14, -1.14, -0.03, 0.16, -0.34, -0.51, -0.58, -0.22, -0.24, 
##     0.03, 0.77, 0.95, 0.98, 2.15, 1.98, 2.02, 1.85, 1.65, 3.13, 
##     1.78, 2.38, 0.98, 1.67, 1.27, 2.33, 2.65, 1.83, 1.56, 1.53, 
##     1.64, 1.25, 1.35, 1.27, 1.24, 1.33, 1.4, 1.27, 1.2, 1.19, 
##     0.75, 0.58, 0.4, 0.21, 1.67, 1.75, 1.91, 1.86, 1.67, 1.62, 
##     1.69, 1.8, 1.69, 1.65, 1.7, 1.46, 1.41, 1.57, 1.25, 0.96, 
##     0.82, 0.83, 0.77, 0.72, 0.71, 0.74, 0.5, 0.35, 0.24, 0.13, 
##     0.11, -0.1, -0.13, -0.11, -0.16, -0.13, -0.03, 0, -0.02, 
##     0.03, 0.06, -0.02, -0.02, 0.02, 0, 0.03, 0.03, 0.06, 0.05, 
##     0.05, 0.05, 1.22, 2.59, 3.05, 2.94, 2.99, 2.47, 2.75, 2.26, 
##     2.75, 1.41, 1.41, 2.22, 1.11, 0.79, 0.61, 0, -0.16, -0.26, 
##     -0.29, -0.27, 0.02, 2.75, 2.47, 2.59, 3.18, 3.23, 2.57, 2.94, 
##     1.2, 1.35, 2.12, 1.83, 0.88, 0.79, 0.88, 0.22, -0.05, -0.26, 
##     -0.35, -0.56, -3.24, -3.34, -2.97, -3.16, -3.64, -3.23, -2.65, 
##     -0.59, 0.21, 0.21, 0.85, 0.85, 0.85, 2.26, 2.68, 3.2, 2.18, 
##     2.28, 1.86, 2.73, 2.04, 1.24, 1.49, 2.25, 1.88, 1.2, 1.46, 
##     0.98, 4.56, 4.53, 4.46, 4.58, 3.9, 3.97, 3.18, 2.92, 1.75, 
##     -0.64, -1.59, -2.09, -2.52, -3.26, -4.4, -4.4, -4.7, -4.98, 
##     -4.48, -4.67, -4.3, -4.13, -3.71, -3.97, -4.5, -3.92, -3.53, 
##     -2.95, -1.27, -1.24, -1.17, -0.88, -0.19, 0.53, 0.8, 0.98, 
##     1.38, 2.1, 2.49, 3.1, 3.71, 3.89, 4.11, 4.48, 4.56, 2.02, 
##     2.91, 3.4, 3.66, 3.87, 3.97, 4.05, 4.17, 4.11, 4.64, 4.69, 
##     4.64, 5.19, 4.91, 4.74, 4.78, 4.69, 4.42, 4.08, 2.97, 2.75, 
##     2.34, 0.98, 0.31, -1.27, -2.23, -2.57, -3.61, -3.87, -4.08, 
##     -4.29, -5.06, -4.17, -4.22, -4.24, -4.06, -3.55, -3.68, -3.85, 
##     -3.52, -3.26, -3.76, -3.39, -3.52, -3.97, -3.79, -3.81, -3.87, 
##     -3.76, -2.18, -0.69, -0.58, -0.45, 0.18, 0.51, 1.32, 1.72, 
##     2.06, 2.02, 2.46, 2.59, 2.78, 2.65, 2.76, 2.94, 3.29, 3.4, 
##     3.64, 3.68, 4.01, 3.85, 3.64, 3.39, 3.32, 3.13, 1.14, 0.34, 
##     -1.43, -2.71, -3.07, -3.26, -3.42, -3.73, -2.89, -3.05, -3.21, 
##     -3.47, -3.53, -3.64, -3.26, -2.62, 0.5, 1.22, 1.78, 2.04, 
##     1.98, 2.17, 2.47, 2.38, 2.83, 2.1, 2.6, 2.47, 1.81, 1.69, 
##     2.01, 1.91, 1.43, 0.96, -2.23, -1.65, 0.47, 1.89, 1.73, 1.89, 
##     2.09, 2.33, 2.12, 2.28, 2.07, 1.7, 2.3, 2.18, 1.41, 0.87, 
##     0.74, 0.56, 0.31, 0.16, 0.19, 0.16, -0.08, -0.64, -1.38, 
##     -1.45, -1.57, -1.83, -1.86, -2.3, -2.39, -2.59, -3.21, -2.67, 
##     -1.86, -0.96, 2.09, -2.52, -2.75, -2.68, -2.97, -2.89, -2.42, 
##     -0.55, -0.11, 0.43, 0.72, 0.93, 1.62, 1.59, 1.57, 1.88, 2.31, 
##     2.12, 1.94, 1.73, 2.42, 2.41, 1.85, 2.1, 2.14, -2.63, -2.7, 
##     -2.6, -2.28, -2.1, -1.7, -0.74, -0.18, 0.37, 0.85, 1.4, 1.62, 
##     1.96, 2.15, 2.28, 2.76, 3.03, 3.07, 3.23, 2.84, 2.47, 2.36, 
##     2.12, 2.09, 2.23, 1.59, 1.33, 0.59, -0.34, -0.72, 2.44, 2.44, 
##     2.18, 2.44, 2.55, 2.17, 2.09, 2.59, 2.68, 2.44, 2.49, 2.12, 
##     1.8, 1.53, -0.08, -1.14, -2.14, -2.22, -2.28, -2.41, -2.54, 
##     -2.55, -2.68, -2.71, -0.27, -0.24, -0.27, -0.24, -0.21, -0.55, 
##     -0.48, -0.13, -0.06, -0.18, -0.26, -0.48, -0.72, -0.88, -0.83, 
##     -0.66, -0.74, -0.87, -1.01, -1.16, -1.3, 0.35, -0.48, -0.74, 
##     -0.9, -0.51, -0.39, -0.64, -0.82, -0.88, -0.67, -0.48, -0.42, 
##     -0.45, -0.42, -0.32, -0.31, -0.22, 0.02, -0.03, -0.14, 0.06, 
##     -0.02, 0.02, -0.21, 0.19, 0.66, 1.04, 1.49, 2.36, 3.05, 3.47, 
##     3.56, 4.05, 3.95, 3.85, 4.06, 4.32, 4.14, 3.93, 3.89, 3.98, 
##     3.77, 3.74, 3.42, 3.77, 3.47, 3.02, 3.32, 2.91, 3.1, 2.78, 
##     2.79, 2.7, 0.82, 0.87, 0.47, 0.4, 0.39, 0, -0.22, -0.42, 
##     -1.17, -1.4, -2.22, -2.46, -2.95, -2.92, -3.26, -3.28, -3.24, 
##     -3.26, -3.48, -3.23, -3.29, -2.83, -2.1, -1.91, -1.69, -1.67, 
##     -1.56, -1.12, -0.93, -0.82, -0.13, 0.05, 0.67, 0.96, 1.4, 
##     1.67, 1.75, 1.85, 2.33, 2.49, 2.86, 3.16, 3.13, 3.52, 4.11, 
##     3.29, 3.53, 3.4, 3.71, 3.66, 3.45, 3.74, 3.1, 2.91, 2.75, 
##     3.05, 2.95, 2.23, 2.07, 1.77, 1.67, 1.25, 1.04, 0.9, 0.72, 
##     -0.4, -0.95, -1.61, -1.69, -2.02, -2.46, -2.57, -2.99, -3.08, 
##     -3.08, -3.18, -3.18, -2.75, -3.12, -3.1, -3, -2.49, -2.65, 
##     -2.65, -2.52, -2.28, -2.3, -2.1, -1.96, -1.93, -1.69, -1.59, 
##     -1.65, -1.62, -0.93, -0.83, 0, 0.11, 0.83, 1.01, 1.09, 1.72, 
##     2.65, 2.7, 2.86, 3.5, 3.66, 3.92, 4.09, 0.77, 0.53, 0.24, 
##     -0.66, -1.22, -1.57, -1.7, -1.89, -2.15, -2.14, -2.28, -2.54, 
##     3.15, 3.03, 3.26, 2.99, 2.54, 2.57, 2.44, 2.15, 2.09, 1.88, 
##     1.17, 1.08, 0.63, 0.51, 0.26, 0.24, 0.13, 0.16, 0.1, -0.02, 
##     0.08, 0.1, 0.08, -0.02, 0.11, 0.13, -0.05, 0.1, 0.06, 0, 
##     -0.11, -0.08, -0.08, -0.19, -0.19, -0.19, -0.13, -0.13, -0.18, 
##     -0.19, -0.21, -0.24, -0.35, -0.27, -0.43, -0.66, -0.77, -0.85, 
##     -0.9, -0.92, -0.92, -0.88, -1.16, -1.48, -1.64, -1.86, -2.3, 
##     -2.86, -2.95, -3.81, -3.87, -4.29, -4.88, -4.9, -4.72, -4.45, 
##     -4.24, -3.66, -3.53, -3.45, -3.37, -3.24, -3.24, -3.2, -3.16, 
##     -2.81, -2.44, -2.12, -0.87, -0.35, 0, 0.21, 0.42, 0.93, 1, 
##     1.11, 1.51, 1.78, 2.01, 2.31, 2.84, 3.42, 3.5, 3.92, 3.95, 
##     4.45, 4.37, 4.32, 3.9, 4.16, 4.11, 3.47, 3.63, 3.44, 2.76, 
##     2.31, 2.2, 1.51, 0.93, 0.53, -0.1, -0.51, -0.83, -1.22, -1.49, 
##     -1.73, -1.98, -2.55, -2.94, -3.29, -3.53, -3.69, -4.62, -4.85, 
##     -4.87, -4.78, -4.75, -4.45, -4.19, -3.95, -3.76, -3.73, -3.76, 
##     -3.82, -3.79, -3.44, -1.57, 0.5, 0.88, 0.98, 1.12, 1.56, 
##     1.65, 1.64, 1.81, 2.3, 3.07, 3.2, 4.06, 4.11, 4.4, 4.48, 
##     4.17, 4.08, 4.48, 4.67, 4.09, 4.46, 3.6, 3.42, 3.47, 2.76, 
##     2.76, 2.68, 1.75, 1.36, 0.77, 0.05, -0.56, -0.9, 3.2, 3.42, 
##     3.5, 3.89, 4.13, 4.24, 4.35, 4.14, 4.29, 4.22, 4.45, 4.08, 
##     3.29, 3.03, 1.86, 1.49, -0.77, -1.12, -2.33, -2.89, -4.13, 
##     -4.87, -5.67, -5.28, -4.64, -4.51, -4.34, -4.24, -2.41, 1.25, 
##     1.38, 1.89, 2.3, 3.15, 3.42, 3.6, 3.92, 4.26, 4.22, 4.35, 
##     4.45, 4.24, 4.8, 4.26, 4.22, 3.98, 3.68, 3.58, 3.48, 3.31, 
##     3.02, 2.89, 2.68, 1.01, 0.24, -0.47, -1.25, -1.48, -2.28, 
##     -3.26, -3.42, -3.53, -3.53, -3.63, -3.79, -3.82, -3.93, -3.85, 
##     -3.71, -3.84, -4.09, -4.11, -4, -3.84, -2.62, -1.65, 0.1, 
##     0.93, 1.3, 1.75, 2.39, 3.08, 3.71, 3.81, 4.05, 4.13, 4.14, 
##     4.14, 4.19, -4.29, -4, -3.73, -3.69, -3.32, -2.92, -2.65, 
##     -2.55, -2.34, -2.06, -1.72, -1.46, -0.1, 0.77, 0.93, 1.22, 
##     1.56, 1.85, 2.09, 2.3, 2.5, 2.7, 2.94, 3.31, 3.48, 3.76, 
##     3.93, 4.01, 4.11, 3.97, 3.95, 4.09, 4.08, 3.76, 3.32, 3.23, 
##     3.31, 2.81, 2.73, 1.98, 1.53, 0.87, 0.55, 0.26, -0.45, -0.8, 
##     -1.22, -1.93, -2.26, -2.54, -2.92, -3.87, -4.58, -4.13, -4.11, 
##     -3.68, -3, -2.01, -1.59, -1.38, -1.08, 0.51, 0.75, 1, 1.85, 
##     2.47, 2.7, 2.95, 3.23, 3.76, 4.24, 4.82, 4.29, 3.92, 3.93, 
##     3.34, 2.81, 2.6, 2.63, 2.83, 0.88, 0.34, -0.18, -0.59, -1.32, 
##     -1.69, -2.84, -3.1, -3.47, -4.06, -4.62, -4.58, -4.58, -4.56, 
##     -4.64, -4.69, -4.45, -4.09, -3.73, -3.53, -2.76, -1.57, -1.06, 
##     -0.42, 0.27, 1.35, 1.64, 1.96, 2.55, 2.73, 2.79, 3.12, 3.58, 
##     3.76, 3.31, 3.32, 3.9, 4.13, 3.63, 4.24, 3.97, 4.16, 3.68, 
##     3.6, 3.44, 2.92, 2.92, 3.2, 3.36, 2.81, 2.7, 2.38, 1.96, 
##     -1.25, -2.06, -2.68, -3.24, -3.45, -3.58, -3.63, -3.89, -4.05, 
##     -4.05, -4.06, -4.01, -4.13, -4.21, -3.92, -3.61, -3.76, -4.05, 
##     -3.4, -3.21, -2.07, -0.1, 0.5, 0.77, 0.92, 1.11, 1.59, 1.77, 
##     1.93, 2.1, 2.44, 2.62, 2.68, 2.71, 2.68, 2.73, 2.87, 2.86, 
##     3.28, 3.21, 3.26, 3.42, 3.42, 3.1, 3.23, 3.12, 2.92, 2.73, 
##     2.3, 1.86, 1.62, 0.74, -0.13, -0.13, -0.32, -0.37, -0.27, 
##     -0.13, -0.13, -0.08, 0.14, 0.24, 0.27, 0.26, 0.24, 0.14, 
##     0.06, 0.03, 0.02, -0.08, -0.21, -0.13, -0.32, -0.47, -0.53, 
##     -0.56, -0.66, -0.88, -0.79, -0.83, -0.88, -0.75, -0.71, -0.75, 
##     -0.61, -0.56, -0.75, -0.61, -0.55, -0.48, -0.35, -0.18, -0.34, 
##     -0.1, 0.02, -0.18, -0.32, -0.29, -0.16, -0.14, -0.21, -0.16, 
##     -0.08, -0.13, -0.14, -0.11, -0.14, -0.13, -0.05, -0.08, 0.22, 
##     0.24, 0.29, 0.66, 0.77, 0.4, 2.09, 2.5, 1.59, 1.06, 1.24, 
##     1.25, 0.34, 0.29, 0.08, -0.48, -0.64, -0.79, -0.98, -1.12, 
##     -1.27, -1.4, -1.46, -1.64, -1.91, -2.04, -2.17, -2.81, -2.99, 
##     -2.94, -2.12, 1.11, 2.09, 2.31, 2.62, 2.26, 2.63, 2.7, 2.28, 
##     1.24, 1.08, 1.57, 1.56, 1.08, 0.66, 0.82, 1.03, 1.36, 2.09, 
##     2.49, 2.34, 2.02, 2.06, 1.73, 1.48, 1.28, 0.88, 0.71, 0.75, 
##     0.53, 0.11, -0.08, -0.53, -1.48, -1.49, -2.06, -2.2, -2.33, 
##     -2.59, -3.37, -3.36, -3.36, -4.83, -5.51, -6.45, -6.54, -7.02, 
##     -6.62, -4.98, -3.87, 0.08, 2.57, 3.18, 3.4, 3.87, 3.15, 3.6, 
##     3.21, 3.98, 4.38, 5.46, 4.61, 4.91, 4.61, 4.53, 4.59, 4.3, 
##     3.9, 3.55, 3.63, 2.92, 2.18, 1.72, 1.38, 0.58, 0.47, -0.06, 
##     -0.53, -0.9, -1.83, -2.54, -2.81, -2.95, -4.69, -4.85, -5.25, 
##     -4.85, -5.01, -4.88, -5.43, -5.65, -6.01, -5.97, -6.15, -0.63, 
##     3.64, 3.95, 4.3, 3.79, 3.48, 4.96, 4.85, 3.42, 3.07, 3.79, 
##     1.3, 1.59, 1.25, 1.17, 1.24, 0.66, 0.06, -0.13, -0.26, -0.4, 
##     -0.61, -0.88, -1.27, -1.35, -1.83, -1.98, -2.07, -2.14, -1.89, 
##     -1.73, -1.77, -1.57, -1.43, -1.36, -1.49, -1.51, -1.12, -1.27, 
##     -0.88, -0.95, -0.77, -0.71, -0.93, -1.04, 0.14, 0.82, 1, 
##     1.27, 2.14, 2.26, 2.5, 2.42, 2.5, 2.14, 2.6, 2.17, 1.98, 
##     1.98, 1.73, 1.56, 1.53, 1.28, 1.22, 1.28, 1.25, 1.28, 1.2, 
##     1.14, 1.17, 0.1, -0.03, -0.21, -0.66, -1.14, -1.14, -1.09, 
##     -1.43, -1.93, -1.96, -2.1, -2.01, -1.56, -1.64, -1.56, -1.36, 
##     -1.11, -1.19, -0.93, -0.92, -0.8, -0.79, -0.77, -0.87, -1.61, 
##     -1.45, 0.05, 0.8, 0.83, 0.88, 0.88, 0.82, 1.11, 1.09, 1.36, 
##     1.38, 1.25, 1.22, 1.48, 1.64, 1.86, 1.12, 1.36, 1.73, 1.43, 
##     1.43, 1.93, 1.65, 1.88, 1.8, 1.65, 1.61, 1.88, 1.88, 1.77, 
##     2.06, 1.98, 1.53, 1.32, 1.22, 1.03, 1.11, 1.14, 1.09, 1.11, 
##     1.08, 1.14, 1.14, 0.8, 0.82, 1.01, 0.79, 0.51, 0.24, 0.14, 
##     0.4, -0.27, -0.05, -0.11, -0.13, 0.03, 0.1, 0.1, 0.08, 0.06, 
##     0.08, 0.14, 0.19, 0.27, 0.29, 0.32, 0.5, 0.51, 0.51, 0.26, 
##     -0.13, -0.21, -0.45, -1.48, -1.8, -2.63, -2.83, -2.94, -2.99, 
##     -3.12, -3.21, -3.29, -3.34, -3.55, -3.64, -3.76, -3.68, -3.6, 
##     -3.39, -3.55, -2.89, -2.62, -2.44, -2.31, -2.23, -2.06, -1.43, 
##     -1.14, -0.69, -0.32, 0.22, 0.58, 0.93, 1.03, 1.36, 1.7, 1.75, 
##     1.7, 2.02, 2.18, 2.54, 2.62, 2.7, 2.6, 2.54, 2.33, 2.44, 
##     2.47, 2.47, 2.84, 2.75, 2.63, 2.73, 2.36, 2.79, 2.57, 2.44, 
##     2.41, 2.44, 2.41, 1.94, 1.94, 1.72, 1.25, 0.98, 0.77, 0.1, 
##     -0.19, -1.12, -1.3, -1.77, -1.67, -2.25, -2.44, -2.7, -3.31, 
##     -3.5, -3.66, -2.89, -2.52, -2.1, -1.96, -2.09, -1.59, -1.48, 
##     -1.56, -1.45, -1.38, -0.85, -1, -1.14, -0.88, -1, -0.96, 
##     -0.95, -0.58, -0.48, -0.19, -0.06, 0.05, 0.51, 0.75, 0.93, 
##     1.22, 1.65, 1.73, 1.78, 2.2, 2.33, 2.36, 2.17, 2.18, 2.06, 
##     2.34, 2.04, 2.63, 2.26, 2.39, 2.15, 2.54, 1.85, 1.77, 1.54, 
##     1.32, 0.82, 0.55, 0.31, 0.03, -0.31, -0.55, -0.8, -1.2, -1.45, 
##     -1.67, -2.2, -2.6, -2.6, -2.75, -2.89, -3, -3.13, -3.21, 
##     -3.32, -3.29, -3.07, -3.07, -2.65, -2.28, -2.02, -2.04, -1.78, 
##     -1.73, -1.65, 0, 0.37, 0.64, 1.25, 1.35, 1.38, 1.51, 1.77, 
##     1.85, 2.01, 2.1, 2.14, 2.25, 2.23, 2.39, 2.41, 2.26, 2.36, 
##     2.38, 2.49, 2.49, 2.46, 2.46, 2.31, 2.34, 2.62, 2.36, 2.39, 
##     2.57, 2.18, 2.14, 2.26, 2.02, 1.94, 1.91, 1.59, 1.43, 1.19, 
##     0.5, 0.11, -0.58, -1.25, -1.43, -1.46, -1.46, -1.65, -2.6, 
##     -2.62, -2.71, -2.65, -2.67, -2.75, -2.76, -2.57, -2.42, -2.71, 
##     -2.7, -2.31, -2.81, -2.7, -2.38, -2.23, -2.18, -2.23, -2.15, 
##     -1.75, -1.38, -1.35, -1.24, -1.24, -0.98, -0.83, -0.74, 0.26, 
##     0.39, 0.72, 0.85, 0.95, 1.09, 1.25, 1.67, 1.72, 1.86, 2.26, 
##     2.46, 2.39, 2.62, 3, 2.94, 2.34, 2.42, 2.31, 2.86, 2.92, 
##     2.6, 3.07, 2.79, 2.89, 2.28, 2.09, 2.12, 2.28, 1.57, 1.62, 
##     1.06, 0.93, -0.11, -0.34, -0.45, -0.61, -1.24, -1.45, -1.69, 
##     -1.7, -1.93, -1.91, -2.25, -2.63, -2.91, -2.97, -2.95, -3.56, 
##     -3, -3.02, -2.87, -2.31, -2.02, -1.61, -1.56, -1.77, -1.67, 
##     -1.49, -1.57, -1.32, -1, -0.74, -0.26, 0.35, 0.51, 0.85, 
##     0.95, 1.09, 1.43, 1.57, 1.77, 1.91, 2.14, 2.26, 2.26, -0.26, 
##     -0.45, -0.63, -0.83, -1.03, -1.25, -1.53, -1.59, -1.49, -2.02, 
##     -2.15, -2.17, -2.31, -2.59, -3.44, -3.2, -3.21, -2.94, -2.38, 
##     -2.1, -2.04, -1.91, -1.73, -1.54, -1.53, -1.51, -1.27, -1.11, 
##     -1.01, -0.92, -0.74, -0.05, 0.31, 0.5, 0.63, 0.77, 1, 1.09, 
##     1.25, 1.77, 2.1, 2.31, 2.3, 2.34, 2.75, 2.89, 3.28, 3, 2.6, 
##     2.73, 2.71, 2.89, 2.94, 3.23, 2.49, 2.25, 2.23, 2.06, 1.08, 
##     -1.12, -1.38, -1.61, -1.59, -1.78, -1.77, -1.83, -2.5, -2.81, 
##     -3.44, -3.55, -3.52, -3.12, -2.99, -2.28, -2.06, -1.81, -1.48, 
##     -1.81, -1.83, -1.99, -1.77, -1.61, -0.37, 0.71, 0.9, 1.01, 
##     1.11, 1.16, 1.41, 1.61, 1.67, 2.06, 2.38, 2.68, 2.71, 2.89, 
##     2.94, 2.83, 2.83, 2.92, 2.25, 2.18, 2.78, 2.65, 2.68, 2.6, 
##     2.44, 2.44, 1.62, 1.35, 1.24, 1.24, 1.38, 1.46, 1.35, 0.47, 
##     0.32, -0.5, -1.85, -2.26, -2.86, -2.83, -2.89, -3.07, -3.13, 
##     -3.44, -3.37, -3.52, -3.36, -2.41, -2.26, -2.15, -2.12, -1.7, 
##     -1.7, -1.78, -1.72, -1.57, -1.11, -0.71, -0.37, -0.1, 0.82, 
##     1, 1.14, 1.27, 1.41, 1.53, 1.65, 1.96, 2.07, 2.17, 2.31, 
##     2.39, 2.34, 2.52, 2.62, 2.68, 2.75, 3.02, 2.99, 3.13, 2.6, 
##     2.71, 2.54, 3.15, 2.25, 1.94, 2.18, 1.83, 1.94, 1.51, 1.4, 
##     1.17, 0.88, 0.35, 0.08, -0.4, -0.79, -1.24, -1.61, -1.75, 
##     -2.22, -2.73, -2.89, -2.95, -2.92, -2.67, -2.6, -2.26, -2.54, 
##     -2.33, -2.28, -2.39, -2.67, -2.76, -2.52, -2.36, -1.67, -1.51, 
##     -1.04, -0.88, -0.19, 0.21, 1.19, 1.19, 1.49, 1.88, 2.1, 2.14, 
##     2.57, 2.89, 2.79, 3.53, 2.99, 3.03, 3.42, 3.16, 3.13, 2.5, 
##     2.73, 2.79, 2.26, 2.67, 2.12, 2.2, 2.09, 2.01, 1.98, 1.96, 
##     2.01, 1.89, 1.81, 1.17, -3.21, -3.03, -2.92, -2.81, -1.85, 
##     -1.48, -1.51, -1.67, -1.49, -0.9, -0.83, -0.08, 0.08, 0.39, 
##     0.5, 0.48, 0.35, 0.31, -0.06, -0.06, -0.06, -0.21, -0.27, 
##     -0.34, -0.32, -0.29, -0.31, -0.22, -0.32, -0.29, -0.24, -0.26, 
##     -0.27, -0.32, -0.27, -0.21, -0.19, -0.13, 0.1, 0.58, 0.83, 
##     0.9, 1.25, 1.33, 1.91, 2.14, 2.23, 2.38, 4.27, 4.29, 4.34, 
##     5.49, 5.6, 5.03, 5.12, 3.5, 2.55, 2.2, 1.46, 0.4, -0.35, 
##     -2.57, -2.63, -2.71, -2.6, -2.57, -2.99, -3.02, -2.83, -2.89, 
##     -2.78, -2.63, -3.03, -1.69, -0.21, 0.11, 0.35, 1.27, 1.99, 
##     2.14, 2.49, 2.75, 2.91, 3.71, 3.71, 3.79, 2.92, 2.33, 2.97, 
##     3.4, 3.52, 3.79, 3.93, 3.79, 3.34, 2.68, 2.73, 2.44, 1.8, 
##     1.03, -0.66, -1.41, -2.15, -2.67, -2.95, -2.97, -3.44, -3.47, 
##     -3.31, -3.12, -2.79, -2.73, -1.62, -1.81, -1.89, -1.57, -1.36, 
##     -1.24, -0.22, 0.5, 0.75, 1, 1.51, 1.8, 2.09, 3.26, 3.31, 
##     3.39, 3.48, 3.55, 3.47, 3.31, 3.36, 2.84, 2.67, 2.5, 1.49, 
##     -0.14, -0.93, -1.93, -2.33, -2.62, -2.75, -3.03, -3.08, -3.58, 
##     -3.53, -3.71, -2.6, -2.14, -2.38, -2.33, -1.73, -1.43, -1.24, 
##     -1.19, -0.74, -0.31, 0.64, 0.92, 1.62, 1.77, 2.38, 2.83, 
##     3.37, 3.87, 3.79, 3.84, 2.89, 2.78, 2.87, 2.83, 2.22, 1.43, 
##     0.45, -2.34, -2.41, -2.55, -2.79, -2.87, -3.15, -3.2, -3.47, 
##     -3.66, -3.89, -2.97, -2.95, -2.79, -2.81, -2.65, -2.25, -2.28, 
##     -2.78, -1.69, -1.48, -0.63, 0.06, 0.5, 0.8, 1.72, 2.01, 2.31, 
##     2.75, 2.97, 3.69, 3.82, 4.26, 4.42, 4, 3.79, 3.58, 2.97, 
##     2.23, -1.24, -2.17, -2.55, -2.75, -2.91, -3, -3.24, -3.84, 
##     -3.6, -3.87, -3.4, -3.05, -3.31, -2.89, -2.73, -2.38, -2.39, 
##     -2.78, -1.65, -1.4, -0.34, 0.13, 1.28, 1.53, 2.73, 2.89, 
##     3.73, 4.05, 4.16, 4.24, 4.21, 3.9, 3.77, 3.44, 3.05, 2.86, 
##     2.34, 0.79, -1.75, -2.2, -2.63, -2.81, -3, -3.39, -3.89, 
##     -3.97, -4.09, -3.98, -3.61, -3.18, -2.95, -3.12, -2.71, -2.73, 
##     -2.06, -1.7, -1.46, -0.85, -0.05, 1.43, 3.42, 3.76, -0.69, 
##     -0.06, 0.63, 0.74, 1.35, 1.65, 2.02, 2.94, 3.16, 3.53, 3.76, 
##     3.82, 3.76, 3.4, 3.31, 2.79, 2.38, 2.25, 1.69, 1.14, -1.59, 
##     -1.91, -2.12, -2.31, -3.16, -3.13, -3.16, -3.58, -3.52, -4.01, 
##     -4.05, -3.52, -3.31, -3.23, -3.34, -3.12, -3.05, -2.57, -2.28, 
##     -2.07, -1.57, -0.37, -0.02, 0.39, 0.71, 0.85, 1.22, 1.93, 
##     2.14, 2.68, 3.28, 3.47, 3.58, 3.74, 3.69, 3.68, 4.05, 4.05, 
##     3.84, 2.78, 2.52, 2.44, 1.81, -0.72, -1.81, -2.47, -2.75, 
##     -2.95, -3.05, -3.24, -3.81, -3.64, -3.95, -4.08, -3.55, -3.03, 
##     -3.31, -2.54, -3.08, -3.2, -2.94, -3.36, -3.24, -3.02, -3.26, 
##     -3.12, -2.99, -2.81, -2.75, -2.68, -2.31, -2.02, -1.89, -1.7, 
##     -0.69, -0.55, -0.58, -0.63, -0.66, -0.4, -0.55, -0.58, -0.31, 
##     -0.24, -0.22, -0.27, -0.35, -0.31, -0.16, -0.08, -0.08, -0.14, 
##     -0.08, -0.03, -0.14, -0.26, -0.26, -0.31, -0.32, -0.29, -0.19, 
##     -0.21, -0.18, -0.19, -0.21, -0.19, -0.22, -0.22, -0.22, -0.19, 
##     -0.19, -0.21, -0.21, -0.21, -0.24, -0.22, -0.24, -0.26, -0.32, 
##     -0.34, -0.35, -0.32, -0.64, -0.39, -0.32, -0.24, -0.22, -0.35, 
##     -0.37, 0.11, 0.1, 0.11, -0.05, -0.18, 0, 0.03, 0, -0.1, -0.06, 
##     -0.08, -0.06, -0.02, -0.05, -0.03, 0.02, 0, -0.03, -0.02, 
##     -0.05, -0.02, -0.03, -0.03, -0.03, -0.02, -0.03, -0.02, 0.02, 
##     -0.02, 0.03, 0.08, 0.06, 0.06, 0.06, 0.1, 0.1, 0.1, 0.79, 
##     1.27, 1.51, 1.12, 1.33, 1.48, 0.14, 0.16, 0.26, 0.32, -0.14, 
##     -1.04, -1.36, -3.85, -4.17, -4.4, -4.83, -4.9, -5.22, -6.39, 
##     -6.29, -5.52, -5.31, -2.95, 0.93, 2.23, 3.05, 4.54, 5.04, 
##     5.62, 5.52, 5.52, 5.38, 4.29, 4.42, 4.85, 3.77, 2.39, 1.81, 
##     1.14, 0.4, -1.56, -2.81, -3.69, -4.11, -4.34, -5.01, -5.56, 
##     -5.76, -6.65, -6.52, -6.52, -6.01, -5.88, -6.02, -5.89, -5.76, 
##     -5.35, -3.76, -3.18, -3.18, -2.65, -2.65, -1.51, -1.51, 0.06, 
##     1.38, 2.47, 3.13, 3.73, 4.53, 4.9, 4.87, 5.41, 5.88, 4.96, 
##     4.24, 5.14, 3.9, 4.06, 3.58, 1.19, 0.83, 0.11, -0.39, -0.9, 
##     -1.24, -1.65, -2.83, -4.64, -5.83, -6.18, -5.89, -5.67, -5.52, 
##     -5.22, -4.51, -5.36, -3.15, -3.15, -2.95, -2.91, -2.47, -1.11, 
##     2.54, 3.79, 4.87, 4.61, 6.12, 5.23, 3.76, 5.14, 3.84, 3.9, 
##     5.97, 5.4, 3.34, 0.61, -0.1, -0.34, -0.37, -0.87, -1.54, 
##     -1.54, -2.44, -3.1, -3.6, -4.37, -4.75, -5.41, -5.64, -5.67, 
##     -5.33, -5.23, -3.73, -3.69, -2.79, 1.09, 2.73, 2.73, 3.24, 
##     3.79, 3.84, 4.21, 3.48, 4.03, 3.23, 3.74, 5.33, 5.59, 3.52, 
##     3.69, 3.64, 1.57, 1.22, -0.11, -0.71, -2.49, -3.31, -3.73, 
##     -4.14, -4.83, -5.67, -5.09, -4.78, -4.78, -3.31, -3.18, -3.28, 
##     -3.28, -2.87, -1.83, 1.3, 3.92, 5.54, 5.67, 2.94, 3.39, 4.82, 
##     4.03, 4.58, 4.53, 4.59, 3.55, 3.29, 2.57, 2.38, 0.71, 0.31, 
##     0.22, -0.06, -0.67, -1.32, -1.98, -2.39, -2.73, -3.26, -4.64, 
##     -4.77, -4.83, -4.95, -4.95, -5.06, -5.12, -5.07, -4.64, -4.59, 
##     -4.72, -4.53, -4.24, -4.24, -4.24, -4, -3.47, -2.91, -2.23, 
##     -1.61, 0.4, 1.19, 2.3, 3.84, 4.64, 4.85, 4.37, 4.74, 5.06, 
##     4.4, 4, 4.82, 5.44, 3.98, 4.37, 2.55, 2.02, 1.33, 0.71, 0.18, 
##     -0.29, -1.25, -1.77, -3.31, -4.01, -4.82, -4.99, -5.51, -5.36, 
##     -5.48, -5.4, -5.04, -4.67, -4.38, -3.13, -1.99, 0.42, 2.65, 
##     3.79, 3.42, 3.63, 4.99, 5.07, 5.57, 3.77, 6.1, 4.22, 3, 4.66, 
##     3.76, 2.83, 2.14, 1.48, 0.61, 0, -0.53, -1, 6.13, 3.97, 2.59, 
##     2.28, 1.19, 0.56, 0.22, -0.51, -0.87, -2.59, -3.61, -4.08, 
##     -4.54, -5.07, -5.2, -5.22, -5.35, -4.34, -5.49, -3.71, -1.99, 
##     0.21, 1.43, 2.28, 3.97, 3.58, 4.67, 3.68, 3.74, 4.59, 3.4, 
##     5.89, 5.49, 3.58, 3.61, 3.97, 2.71, 1.72, 6.05, 3.29, 5.36, 
##     5.41, 2.41, 0.82, 0.39, 0.06, -0.37, -0.43, -0.96, -1.16, 
##     -1.16, -0.48, -0.1, -0.05, -0.05, 0, 0, 0.03, 0.03, 0.05, 
##     0, 0.03, 0.06, -0.02, 0, -0.06, -0.05, 0.03, 0.02, -0.02, 
##     0.03, 0.03, 0.02, 0.05, 0.1, -0.02, 0.02, -0.03, -0.03, -0.02, 
##     0.03, 0.05, 0.02, -0.03, 0.02, 0, 0.02, -0.02, -0.02, 0.05, 
##     0.05, -0.03, -0.02, -0.06, 0, 0, 0, -0.59, -0.8, -1.25, -1.3, 
##     -1.33, -1.22, -1.3, -1.32, -1.64, -1.64, -1.7, -1.8, -1.72, 
##     -0.96, -1.06, -0.51, -0.43, 0.19, 0.32, 0.31, 0.79, 0.79, 
##     0.82, 0.9, 1, 1.03, 1.11, 1.22, 1.24, 1.28, 1.51, 1.72, 1.72, 
##     2.1, 2.14, 2.36, 2.5, 2.34, 2.42, 2.7, 2.6, 2.42, 2.33, 2.33, 
##     2.01, 2.2, 1.49, 1.35, 1.17, 0.95, 0.93, 0.79, 0.79, 0.82, 
##     0.69, 0.72, 0.66, 0.66, 0.59, 0.53, 0.51, 0.43, 0.35, 0.21, 
##     0.1, -0.05, -0.59, -0.82, -1.83, -1.85, -1.86, -2.12, -2.06, 
##     -2.15, -2.06, -2.1, -1.53, -1.46, -0.47, -0.47, -0.43, -0.16, 
##     0.88, 1.03, 1.09, 1.53, 1.69, 2.01, 2.04, 2.42, 2.55, 2.57, 
##     2.86, 2.62, 2.78, 2.81, 2.59, 2.26, 2.25, 2.47, 2.09, 2.23, 
##     2.18, 2.01, 1.85, 1.08, 1.14, 1.11, 0.98, 0.93, 0.69, 0.72, 
##     0.92, 0.87, 0.88, 0.85, 0.85, 0.95, 0.87, 0.71, 0.59, 0.4, 
##     0.13, -0.22, -0.51, -1.09, -1.3, -1.48, -1.96, -1.62, -1.75, 
##     -1.33, -1.04, -0.95, -0.82, -0.03, 0.18, 0.14, 0.42, 0.71, 
##     0.95, 1.19, 1.3, 1.27, 1.38, 1.64, 1.62, 2.06, 2.17, 2.23, 
##     2.17, 2.33, 2.15, 1.99, 2.26, 2.46, 2.07, 1.73, 1.62, 1.54, 
##     1.28, 1.17, 1.12, 1.06, 0.93, 0.82, 0.79, 0.79, 0.72, 0.74, 
##     0.69, 0.66, 0.72, 0.83, 0.47, 0.13, 0.02, -0.61, -0.9, -1.51, 
##     -1.91, -1.91, -1.94, -2.07, -2.12, -2.15, -1.98, -1.88, -1.64, 
##     -1.59, -1.54, -1.43, -0.59, -0.19, 0.19, 0.59, 0.75, 0.87, 
##     1.03, 1.14, 1.48, 1.51, 1.59, 1.7, 2.02, 2.28, 2.86, 2.65, 
##     2.55, 3.12, 2.97, 2.5, 2.5, 2.39, 2.49, 1.93, 2.04, 1.36, 
##     1.24, 1.36, 1.17, 1.16, 1.09, 1, 0.93, 0.93, 0.87, 0.83, 
##     0.71, 0.61, 0.43, 0.37, 0.16, -0.16, -0.14, -0.31, -0.92, 
##     -1.08, -1.48, -1.7, 2.91, 2.52, 3.07, 2.91, 2.97, 2.99, 2.79, 
##     2.07, 2.75, 2.41, 1.98, 1.83, 1.46, 1.49, 1.27, 1.24, 1.09, 
##     0.93, 0.96, 1.09, 1.11, 0.88, 0.8, 0.74, 0.72, 0.67, 0.61, 
##     0.51, -0.03, -0.45, -0.63, -0.8, -1.28, -1.89, -2.3, -2.31, 
##     -2.6, -2.1, -2.06, -2.12, -2.09, -1.81, -1.51, -1.41, -0.8, 
##     -0.27, 0.88, 0.88, 0.77, 0.87, 0.8, 0.8, 0.83, 0.87, 0.9, 
##     0.9, 0.92, 1.08, 1.98, 2.31, 2.89, 3.29, 3.6, 3.79, 3.76, 
##     3.92, 4.16, 4.29, 4.3, 3.74, 3.37, 3.42, 3.15, 2.17, 2.38, 
##     2.31, 1.75, 1.83, 2.2, 2.02, 1.62, 1.48, 1.54, 1.54, 1.54, 
##     1.4, 1.3, 0.64, 0.61, 0.48, 0.51, 0.59, 0.48, 0.51, 0.48, 
##     0.5, 0.4, 0.32, 0.26, 0.48, 0.43, 0.27, 0.31, 0.35, 0.13, 
##     0.14, 0.21, 0.24, 0.26, 0.29, 0.32, 0.34, 0.56, 0.67, 0.58, 
##     0.64, 0.8, 0.92, 0.88, 1.03, 1.06, 1, 0.98, 0.93, 0.93, 0.9, 
##     0.72, 0.72, 0.75, 0.71, 0.75, 0.72, 0.72, 0.71, 0.69, 0.63, 
##     0.63, 0.58, 0.55, 0.26, 0.31, -0.93, -1.19, -2.2, -2.33, 
##     -2.79, -2.84, -3.18, -3.61, -3.89, -3.82, -3.45, -3.47, -3.39, 
##     -3.18, -3.31, -3, -2.89, -3.02, -3.02, -2.78, -2.75, -2.76, 
##     -2.04, -1.85, -1.67, -1.12, -0.77, -0.4, 0.8, 0.85, 1.01, 
##     1.59, 1.73, 1.94, 2.14, 2.26, 2.36, 2.68, 2.84, 2.95, 3.13, 
##     3.29, 3.1, 3.03, 2.97, 2.95, 2.92, 1.38, 1.28, 1, 0.93, 0.87, 
##     0.67, 0.53, 0.26, -1.89, -2.46, -2.57, -3.03, -2.95, -3.15, 
##     -3.1, -2.99, 3.36, 3.55, 3.53, 3.77, 3.97, 3.87, 3.85, 3.85, 
##     3.85, 3.92, 3.73, 3.82, 3.97, 3.45, 3.39, 3.37, 3.34, 3.29, 
##     1.12, 1.06, 0.95, 0.88, 0.79, 0.69, 0.74, 0.79, 0.87, 0.88, 
##     0.92, 0.74, 0.8, 0.82, 0.82, 0.72, 0.67, 0.71, 0.74, 0.79, 
##     0.79, 0.72, 0.69, 0.71, 0.71, 0.59, 0.63, -1.7, -1.78, -1.8, 
##     -1.83, -1.93, -2.02, -2.07, -1.98, -1.43, -1.38, -0.58, 0.19, 
##     0.37, 0.96, 1.08, 1.09, 1.75, 1.83, 2.02, 2.55, -4.35, -4.64, 
##     -5.59, -5.72, -6.21, -5.46, -5.27, -2.99, 1.61, 3.5, 3.24, 
##     2.97, 2.95, 3.2, 3.66, 3.34, 3.28, 3.61, 4.11, 2.81, 3.4, 
##     3.28, 3.13, 2.97, 2.5, 2.31, 1.7, 0.48, -0.05, -0.16, -0.56, 
##     -0.8, -3.39, -3.55, 3.48, 2.91, 2.75, 1.7, 1.32, 0.98, 0.75, 
##     -0.92, -2.01, -2.22, -2.65, -3.07, -3.16, -3.73, -3.85, -4.08, 
##     -4.19, -4.42, -4.43, -4.74, -4.51, -4.54, -4.59, -4.62, -4.45, 
##     -3.63, -3.26, -2.99, 0.59, 1.62, 2.31, 2.7, 2.79, 3.13, 3.45, 
##     3.76, 3.73, 4.26, 4.99, 4.72, 4.72, 3.34, 3.81, 4.14, 3.05, 
##     3.1, 2.79, 2.54, 2.46, 1.83, 1.51, 1.16, 0.77, 0.18, -0.1, 
##     -1.27, -1.73, -3.12, -3.4, -4.14, -4.42, -4.42, -4.22, -4.37, 
##     -4.38, -4.34, -5.51, -5.75, -6.01, -5.67, -5.19, -4.88, -4.9, 
##     -0.75, 1.2, 2.5, 3.64, 3.68, 4.08, 4.09, 3.56, 5.06, 4.77, 
##     4.16, 4.5, 4.64, 4.29, 4.08, 3.95, 3.36, 3.23, 3.42, 3.03, 
##     2.47, 0.93, 0.55, 0.32, 0.1, -0.1, -1.04, -1.45, 3.31, 3.73, 
##     3.84, 3.45, 3.55, 3.79, 3.4, 3.44, 3.16, 2.5, 1.85, 0.9, 
##     0.37, 0.03, -0.37, -0.69, -1, -1.93, -2.67, -3.69, -4.03, 
##     -4.56, 4.35, 3.79, 3.93, 3.98, 3.98, 3.85, 3.64, 3.44, 1.7, 
##     1.09, 1.08, 0.34, 0.16, -0.14, -0.34, -0.72, -1.38, -1.7, 
##     -2.17, -2.49, -2.87, -3.16, -3.4, -3.55, -4.58, -4.7, -4.8, 
##     -4.87, -4.82, -4.5, -4.24, -3.21, -1.8, -0.47, 1.67, 2.49, 
##     3.23, 3.4, 3.82, 5.04, 5.12, 4.7, 5.89, 4.4, 4.93, 4.61, 
##     2.39, 2.68, 3.1, 4, 4.16, 4.3, 4.38, 5.03, 4.51, 4.26, 3.32, 
##     1.62, 1.16, 0.96, 0.13, -0.4, -0.29, -0.18, 0.03, -0.45, 
##     -0.22, -0.37, -0.1, 0.16, -0.14, -0.11, 0.06, 0.13, 0.06, 
##     0.03, 0.13, 0.03, 0.08, -0.02, 0.02, 0.02, 0.02, -0.11, -0.1, 
##     -0.02, 0, 0, 0.06, 0.02, 0.03, 0.02, 0.02, 0, -0.03, -0.02, 
##     -0.03, -0.05, -0.06, -0.1, -0.1, -0.24, -0.14, -0.29, -0.26, 
##     -0.24, -0.19, -0.03, 0.02, 0.02, 0.11, 0.18, 0.19, 0.18, 
##     0.24, 0.18, 0.21, 0.16, 0.11, 0.08, 0.05, 0.05, -0.03, -0.05, 
##     -0.03, -0.02, 0, 0.02, -0.21, -0.08, -0.08, -0.08, 0, 0.02, 
##     0.08, 0.08, 2.46, 2.67, 2.65, 2.99, 3.23, 2.31, 2.55, 2.86, 
##     2.65, 2.95, 3.69, 2.81, 2.23, 2.12, 1.86, 1.69, 1.56, 1.35, 
##     0.63, 0.48, 0.22, 0.21, 0.16, 0.24, 0.18, 0.13, 0.19, 0.08, 
##     0.05, 0.03, 0.05, 0.1, 0.11, 0.05, 0.08, 0.06, -0.02, -0.02, 
##     0.11, -0.03, -0.02, 0.02, -0.05, 0, -0.05, -0.03, -0.06, 
##     -0.02, -0.51, -1.01, -1.49, -2.04, -2.38, -3.1, -5.44, -6.36, 
##     -5.89, -5.78, -5.78, -5.51, -5.46, -4.43, -3.68, -2.78, -1.67, 
##     -0.19, 1.32, 3.18, 3.81, 4.3, 4.64, 4.98, -1.51, -2.07, -3.34, 
##     -4.9, -5.11, -5.51, -5.51, -5.73, -5.73, -5.96, -5.96, -6.44, 
##     -6.37, -6.44, -6.39, -5.97, -5.19, -5.19, -4.16, -2.84, 1.03, 
##     3.73, 4.51, 5.38, 6.13, 4.69, 1.64, 1.65, 1.64, 1.85, 1.81, 
##     1.59, 1.73, 1.62, 1.45, 1.16, 0.96, 0.72, 0.51, 0.35, 0.21, 
##     0.08, -0.27, -0.27, -0.37, -0.37, -0.43, -0.43, -0.37, -0.29, 
##     -0.31, -0.24, -0.13, -0.1, -0.03, -0.21, -0.21, -0.21, -0.21, 
##     -0.22, -0.22, -0.21, -0.21, -0.24, -0.24, -0.21, -0.18, -0.18, 
##     -0.24, -0.18, -0.22, -0.26, -0.22, -0.18, -0.24, -0.21, -0.19, 
##     3.89, 3.82, 3.53, 2.99, -0.42, -1.14, -1.75, -2.94, -3.47, 
##     -3.37, -4.05, -4.21, -3.79, -4.03, -3.5, -2.46, -2.5, -2.46, 
##     -2.2, -1.85, -1.77, -1.98, -1.86, -1.46, 0.5, -1.08, -1.75, 
##     -2.25, -2.49, -2.76, -2.73, -2.68, -3.24, -3.21, -3.2, -3.5, 
##     -3.45, -3.31, -3.15, -3.07, -3.23, -2.39, -2.46, -2.42, -2.41, 
##     -1.38, -1.2, 0.56, 2.12, 2.5, 3.71, 3.85, 3.76, 2.84, 1.57, 
##     -0.79, -1.69, -4.43, -4.53, -4.7, -4.51, -4.5, -4.48, -4.62, 
##     -4.43, -4.56, -4.58, -4.59, -4.43, -4.5, -4.51, -4.4, -4.32, 
##     -4.27, -3.55, -3.03, -3.03, -2.12, 0.24, 1.48, -4.59, -4.58, 
##     -4.67, -4.58, -4.51, -4.77, -4.62, -4.72, -3.9, -4.06, -3.76, 
##     -2.79, -2.09, 2.91, 3.24, 3.16, 3.69, 3.79, 3.4, 4.17, 4.62, 
##     4.69, 3.56, -2.1, -2.31, -2.89, -3.74, -4, -4.19, -4.35, 
##     -4.5, -4.14, -4.22, -4.21, -4.27, -4.03, -2.78, -0.58, 0.93, 
##     3.02, 3.12, 3.85, 3.73, 4.4, 3.74, -3.64, -3.77, -3.98, -4.11, 
##     -4.16, -3.95, -4.06, -4.03, -4.19, -4.37, -4.67, -4.48, -4.22, 
##     -3.42, -2.83, -1.51, 0.11, 1.98, 2.92, 2.86, 2.95, 3.13, 
##     3.39, 4.22, 3.81, 4.01, 2.84, 3.21, 2.71, 2.86, 2.89, 2.15, 
##     2.15, 1.96, 1.33, 0.72, 0.55, 0.21, 0.03, -0.21, -0.42, -0.75, 
##     -0.85, -1.46, -1.67, -2.26, -2.99, -3.05, -3.4, -3.92, 3.69, 
##     4.37, 3.03, 2.81, 2.34, 1.27, 0.4, -0.11, -0.88, -1.57, -2.87, 
##     -3.08, -4.72, -5.01, -4.82, -4.72, -4.64, -4.24, -4.03, -3.79, 
##     -3.66, -3.36, -3.18, -3, -3.6, -3.4, -3.39, -3.26, -3.36, 
##     -2.84, -2.76, -2.52, -2.36, -1.98, -0.59, -0.06, 0.32, 1.04, 
##     1.4, 1.73, 2.02, 2.86, 3.28, 3.84, 3.85, 4.09, 3.98, 4.08, 
##     4.26, 4.62, 4.43, 4.67, 4.24, 3.93, 3.92, 2.68, 2.41, 1.88, 
##     1.01, 0.43, 0.03, -0.39, -1.2, -1.51, -1.78, -2.79, -3.26, 
##     -3.98, -4.62, -5.06, -5.17, -4.99, -1.38, -2.09, -2.28, -2.6, 
##     -3.13, -3.36, -3.69, -3.97, -4.96, -5.33, -4.32, -4.37, -4.4, 
##     -4.11, -4.16, -3.84, -3.53, -3.47, -3.31, -2.86, -0.75, 0.51, 
##     1.27, 1.28, 1.8, 2.12, 2.33, 2.62, 2.83, 4.56, 4.61, 4.5, 
##     4.06, 3.15, 2.79, 2.76, 2.1, 1.35, 1.3, 1.28, 1.14, -3.1, 
##     -2.94, -2.94, -3.08, -2.86, -2.83, -2.89, -2.18, -1.91, -1.75, 
##     -1.36, -1.2, -0.9, -0.64), gyros_forearm_z = c(-0.02, -0.02, 
##     0, 0, -0.02, -0.03, -0.02, 0, -0.02, -0.02, -0.02, -0.03, 
##     -0.03, -0.03, -0.02, 0, 0, -0.02, -0.02, 0, -0.02, -0.02, 
##     -0.02, 0, 0, 0, 0, -0.02, -0.03, -0.03, -0.02, 0, -0.02, 
##     -0.02, -0.02, -0.03, -0.03, -0.03, -0.02, 0.02, 0.03, 0, 
##     -0.02, -0.02, -0.02, -0.02, 0, 0, -0.07, -0.05, -0.03, -0.05, 
##     -0.05, -0.03, -0.02, -0.03, -0.05, -0.05, -0.03, -0.02, 0, 
##     0, 0.02, -0.02, -0.02, -0.02, 0, 0, 0, 0.02, 0, 0, -0.05, 
##     -0.03, 0.02, 0.03, 0.03, 0.03, -0.02, -0.03, -0.02, 0.02, 
##     0.03, 0.05, -0.02, -0.05, -0.05, -0.02, -0.02, -0.02, -0.02, 
##     0, 0, -0.03, -0.03, -0.02, 0, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.02, -0.02, -0.02, 
##     0, -0.02, -0.02, -0.02, -0.02, -0.02, -0.03, -0.03, -0.07, 
##     -0.05, -0.05, -0.02, -0.02, -0.05, -0.02, -0.02, -0.02, -0.02, 
##     -0.03, 0, 0, 0, -0.03, -0.02, -0.03, 0, 0, -0.03, -0.02, 
##     0, 0, -0.02, -0.03, -0.02, -0.02, -0.02, -0.05, -0.02, 0.02, 
##     0, -0.02, -0.03, -0.02, 0, 0, -0.03, -0.03, -0.02, 0, -0.02, 
##     -0.02, -0.02, -0.02, -0.02, -0.02, -0.02, -0.05, 0, -0.05, 
##     -0.08, -0.11, -0.02, -0.02, -0.05, -0.05, -0.07, -0.02, -0.05, 
##     -0.05, -0.03, -0.03, -0.02, -0.05, 0.02, 0.03, 0, -0.02, 
##     -0.11, -0.11, -0.1, -0.1, -0.08, -0.03, -0.03, -0.02, 0, 
##     0, 0.02, -0.02, -0.02, -0.02, -0.1, -0.05, -0.05, -0.08, 
##     -0.13, -0.13, -0.1, -0.03, -0.03, -0.02, -0.02, -0.02, -0.1, 
##     -0.15, -0.16, -0.23, -0.18, 0.05, 0.11, 0.08, -0.07, -0.23, 
##     -0.18, -0.07, -0.03, -0.05, -0.07, -0.1, -0.33, -0.3, -0.21, 
##     0.02, 0.05, 0.08, 0.13, 0.16, 0.16, 0.23, 0.36, 0.3, 0.2, 
##     0.13, 0.07, 0, -0.02, 0.18, 0.03, -0.02, -0.07, -0.21, -0.23, 
##     -0.15, -0.13, -0.2, -0.44, -0.41, -0.18, -0.05, -0.07, -0.1, 
##     -0.1, -0.03, -0.05, -0.02, 0, 0.07, 0.1, 0.08, -0.25, -0.26, 
##     -0.18, -0.11, 0.07, 0.21, 0.25, 0.23, 0.21, 0.18, 0.16, 0.11, 
##     0.08, 0.11, 0.13, 0.11, 0.16, 0.2, 0.2, 0.13, 0.11, 0.1, 
##     0.13, 0.16, 0.21, 0.07, -0.05, -0.16, 0.23, 0.38, 0.1, -0.21, 
##     -0.11, 0.16, 0.15, -0.23, -0.18, -0.08, -0.03, 0.11, 0.34, 
##     0.33, 0.21, 0.07, 0.03, 0, -0.07, -0.05, -0.05, 0.02, -0.08, 
##     -0.07, -0.02, -0.11, -0.11, 0.03, -0.08, 0.11, 0.21, 0.15, 
##     -0.03, -0.1, -0.05, -0.03, -0.02, -0.03, -0.07, -0.05, 0.02, 
##     -0.05, -0.05, -0.1, -0.11, 0.03, 0.13, 0.18, 0.15, 0.05, 
##     -0.15, -0.21, -0.26, -0.25, -0.18, -0.03, -0.07, -0.05, -0.05, 
##     -0.03, -0.02, 0.02, 0.02, 0.02, -0.05, -0.03, -0.03, -0.02, 
##     0, 0, -0.02, -0.03, -0.03, -0.02, -0.03, -0.08, -0.05, -0.08, 
##     -0.03, 0.02, -0.03, -0.05, -0.25, -0.26, -0.3, -0.07, -0.08, 
##     -0.57, -0.9, -0.9, -0.66, -0.46, -0.28, -0.02, -0.03, -0.05, 
##     0, 0.28, 0.34, 0.46, 0.44, 0.34, 0.41, 0.41, 0.36, 0.39, 
##     0.52, 0.54, 0.49, 0.66, 0.46, 0.33, 0.18, 0, -0.11, -0.02, 
##     0.18, 0.28, 0.54, 0.57, 0.48, 0.36, 0.21, 0.16, 0.11, 0.1, 
##     0.08, 0.07, 0.03, 0, 0, -0.03, -0.13, -0.18, -0.2, -0.2, 
##     -0.13, -0.13, -0.16, -0.18, -0.13, -0.1, -0.15, -0.25, -0.3, 
##     -0.38, -0.34, -0.3, -0.39, -0.44, -0.43, -0.31, -0.25, -0.11, 
##     0.05, 0.07, -0.02, -0.13, 0.03, 0.16, 0.3, 0.41, 0.26, 0.1, 
##     0.07, 0, 0.03, 0.28, 0.07, 0.1, 0.49, 0.59, 0.56, 0.41, 0.1, 
##     -0.05, -0.11, -0.11, 0.15, 0.23, 0.25, 0.13, 0.15, 0.11, 
##     0.18, 0.13, 0.13, 0.08, 0.08, 0.13, 0.18, -0.03, -0.1, -0.07, 
##     -0.15, -0.2, -0.21, -0.2, -0.2, -0.15, -0.1, -0.08, -0.2, 
##     -0.31, -0.43, -0.34, -0.28, -0.25, -0.21, 0.05, 0.13, 0.57, 
##     0.48, 0.28, 0.25, 0.28, 0.31, 0.18, 0.16, 0.2, -0.08, -0.05, 
##     0.25, 0.2, 0.15, 0.15, 0.07, -0.07, -0.2, -0.33, -0.44, -0.61, 
##     -0.66, -0.1, 0.11, 0.08, -0.2, -0.39, -0.59, -0.52, -0.49, 
##     -0.34, -0.62, -0.48, -0.46, -0.46, -0.43, 0.08, 0.34, 0.34, 
##     0.34, 0.36, 0.3, 0.23, 0.26, 0.16, 0.15, 0.18, 0.15, 0.13, 
##     0.36, 0.57, 0.46, 0.67, 0.3, 0.39, 0.62, 0.54, 0.31, 0.44, 
##     0.36, 0.33, 0.43, 0.57, 0.57, -0.07, -0.16, -0.13, -0.07, 
##     -0.02, 0.05, 0.16, 0.18, 0.23, 0.26, -0.39, -0.23, -0.16, 
##     -0.36, -0.43, -0.54, -0.38, -0.34, -0.49, -0.57, -0.3, -0.26, 
##     -0.23, -0.36, -0.41, -0.11, 0.18, 0.13, 0.15, 0.13, -0.02, 
##     -0.1, -0.48, -0.43, -0.36, -0.33, -0.21, -0.15, -0.46, -0.56, 
##     -0.66, -0.59, -0.23, -0.15, -0.16, -0.18, -0.21, -0.46, -0.51, 
##     -0.59, -0.74, -0.62, -0.18, 0.07, 0.05, 0.18, 0.13, 0.1, 
##     -0.08, -0.05, 0.13, 0.03, 0, -0.1, -0.21, -0.1, 0, 0.05, 
##     -0.21, -0.51, -0.21, -0.23, -0.48, -0.72, -0.13, 0.02, 0.21, 
##     0.51, 0.62, 0.48, 0.64, 1, 0.67, 0.8, 0.56, -0.38, -0.33, 
##     -0.33, -0.38, -0.41, -0.54, -0.11, -0.03, -0.15, -0.2, 0.13, 
##     0.26, 0.26, 0.39, 0.39, 0.56, 0.79, 0.82, 0.98, 0.89, 0.31, 
##     1.21, 1.02, 0.25, -0.25, -0.2, -0.11, 0.28, 0.31, 0.21, 0, 
##     -0.26, -0.31, -0.13, 0.02, 0.11, 1.03, 1.13, 0.87, 0.79, 
##     0.54, 0.13, -0.2, -0.46, -0.3, -0.21, 0, -0.03, 0.05, 0.21, 
##     0.26, 0.46, 0.98, 0.97, 0.87, 0.72, 0.71, 0.85, 0.92, -0.23, 
##     -0.52, -0.64, -0.71, -0.62, -0.64, -0.34, 0.05, 0.48, 1.03, 
##     1.43, 0.33, -0.03, 0.31, 0.94, 1.26, 0.98, 0.79, 0.56, 0.52, 
##     -0.28, 0.57, 0.36, 0.36, 1.02, 1, 0.44, 0.15, -0.07, -0.1, 
##     0.1, 0.08, 0.02, -0.2, -0.39, -0.33, 0.44, 0.39, 0.39, 0.59, 
##     1.02, 1.39, 1.62, 0.95, 0.61, 0.44, 0.21, -0.1, -0.16, -0.34, 
##     -0.31, -0.02, 0.39, 0.74, 0.8, 0.74, 0.77, 0.82, 0.95, 0.8, 
##     0.36, 0.21, 0.15, -0.03, 0.03, 0.08, 0.3, 0.87, 0.79, 0.67, 
##     0.64, 1.05, 0.98, 0.82, 0.69, 0.18, 0.16, 0.38, 0.05, -0.51, 
##     0.69, 0.87, 0.43, 0.62, 0.9, 0.85, 0.79, 0.48, 0.71, 0.69, 
##     0.31, 0.08, 0.3, 0.56, 0.52, 0.2, 0.3, 0.56, 0.62, 0.67, 
##     0.59, 0.69, 0.71, 0.84, 0.95, 0.87, 0.38, 0.05, -0.38, -0.38, 
##     0.16, 0.26, 0.36, 0.54, 0.51, 0.52, 0.69, 0.61, 0.3, 0.41, 
##     0.51, 0.49, 0.49, 0.33, 0.33, 0.33, 0.36, 0.49, 0.51, 0.56, 
##     0.51, 0.71, 0.92, 0.71, 0.85, 0.82, 0.62, 0.31, 0.94, 0.95, 
##     1.07, 0.23, 0.21, 0.79, 0.87, 0.52, 0.31, 0.31, 0.25, 0.21, 
##     0.16, 0.13, 0.13, 0.07, 0.15, 0.82, 0.49, 0.49, 0.75, 0.92, 
##     1.08, 0.71, 0.54, 0.43, 0.74, 0.79, 0.66, 0.56, 0.33, 0.28, 
##     0.13, 0.66, 0.44, 0.43, 0.92, 0.98, 0.92, 0.77, 0.69, 0.49, 
##     0.36, 0.2, 0.28, 0.85, 0.62, 1.08, 0.94, 0.92, 0.95, 0.84, 
##     0.51, 0.51, 0.85, 0.74, 0.61, 0.46, 0, -0.41, -0.52, -0.52, 
##     -0.36, -0.28, -0.28, -0.38, -0.98, -1.07, -1.15, -0.97, 0.03, 
##     0.15, 1.1, 0.69, 0.07, 0.11, 0.72, 0.8, 0.33, 0.28, 0.28, 
##     0.31, 0.48, 0.57, -2.07, -4.12, -8.09, -1.74, -1.25, 0.11, 
##     0.44, -2.15, -7.94, -3.23, -1.39, -1.44, -4.28, -6.99, -1.56, 
##     4.04, 4.1, 4.31, 2.76, -0.95, 0.31, 0.25, -0.52, 0.54, 0, 
##     -3.2, -5.55, -3.04, -3.36, -3.51, -2.23, 1.95, 2.08, 1.79, 
##     1.38, 0.87, 0.43, 0.1, 0.07, 0.44, 0.36, 0.16, -0.16, -0.13, 
##     1.15, 1.18, 1.1, 1.03, 1.18, -0.49, 0.03, -0.44, 0.15, -1.85, 
##     -2.18, 0.21, 0.79, 3.28, -0.26, 0.15, 0.44, 0.46, 0.69, 0.28, 
##     0.82, 0.9, 0.39, 0.71, 0.57, 0.18, 0.25, 0.38, 0.59, 0.84, 
##     0.41, 0.61, 0.71, 1.41, 1.26, 0.84, 0.48, -0.43, 0.34, 0.84, 
##     -0.08, 0.28, 1.28, 0.64, 1.05, 1.15, 1, 0.56, 0.28, 0.38, 
##     0.56, 0.61, 0.59, 0.03, 0.07, 0.18, 0.21, 0.36, 0.48, 0.51, 
##     0.38, 0.31, 0.46, 0.41, 0.36, 0.54, 0.72, 0.69, 0.67, 0.44, 
##     0.34, 0.41, 0.41, 0.41, 0.46, 0.48, 0.28, 0.08, 0.13, 0.43, 
##     1.49, -0.02, -0.05, 0.31, 0.34, 0.1, 0.43, 0.34, 0.33, 0.33, 
##     0.38, 0.36, 0.31, 0.21, 0.16, 0.23, 0.31, 0.36, 0.39, 0.38, 
##     0.41, 0.59, 0.56, 0.52, 0.46, 0.39, 0.31, 0.33, 0.39, 0.31, 
##     0.44, 0.59, 0.71, 0.59, 0.54, 0.43, 0.38, 0.39, 0.36, 0.33, 
##     0.31, 0.26, 0.03, -0.52, -0.69, -0.82, -0.94, -0.87, -0.61, 
##     -0.18, 0.82, 1.23, 1.87, 2.03, 2.1, 2.07, 1.61, 1.36, 1.13, 
##     0.94, 0.8, 0.75, 0.66, 0.41, 0.41, 0.31, 0.26, 0.21, 0.2, 
##     0.2, 0.41, 0.49, 0.43, 0.44, 0.46, 0.44, 0.43, 0.41, 0.38, 
##     0.48, 0.39, 0.34, 0.36, 0.36, 0.38, 0.38, 0.31, 0.33, 0.49, 
##     0.51, 0.52, 0.62, 0.61, 0.59, 0.61, 0.75, 0.85, 0.92, 0.97, 
##     0.9, 0.8, 0.71, 0.39, 0.2, 0.3, 0.38, 0.48, 0.41, 0.34, 0.3, 
##     0.28, 0.34, 0.54, 0.54, 0.57, 0.56, 0.48, 0.56, 0.59, 0.61, 
##     0.61, 0.56, 0.49, 0.36, 0.46, 0.8, 0.77, 0.52, -0.03, 0.2, 
##     0.34, 0.48, 0.46, 0.18, -0.2, -0.13, -0.07, 0.07, 0.18, 0.31, 
##     0.71, 0.75, 0.95, 0.95, 0.89, 1.03, 0.98, 0.84, 0.77, 0.69, 
##     0.64, 0.71, 0.84, 1, 0.97, 0.97, 0.87, 0.79, 0.72, 0.71, 
##     0.64, 0.51, 0.71, 0.61, 0.64, 0.8, 0.92, 0.67, 0.38, 0.43, 
##     0.39, 0.44, 0.51, 0.56, 0.52, 0.52, 0.54, 0.51, 0.51, 0.57, 
##     0.57, 0.54, 0.52, 0.71, 0.66, 0.62, 0.62, 0.49, 0.54, 0.66, 
##     0.69, 0.57, 0.39, 0.34, 0.38, 0.43, 0.28, -0.16, -0.21, -0.1, 
##     0.02, 0.16, 0.16, -0.08, -0.25, -0.25, -0.15, -0.05, 0.16, 
##     0.49, 0.59, 0.36, 0.26, 0.26, 0.62, 0.66, 1.1, 0.54, 0.57, 
##     0.72, 0.98, 0.62, 0.79, 1.05, 1.25, 1.16, 1, 0.56, 0.25, 
##     0.16, 0.16, 0.33, 0.59, 0.61, 0.57, 0.54, 0.54, 0.56, 0.57, 
##     0.71, 0.59, 0.43, 0.48, 0.52, 0.56, 0.59, 0.51, 0.44, 0.46, 
##     0.72, 0.25, 0.05, 0, 0.08, 0.3, 0.07, 0.05, 0.11, 0.08, 0.03, 
##     0.03, -0.02, -0.16, -0.07, -0.07, -0.08, 0.07, 0.18, 0.25, 
##     0.3, 0.28, 0.28, 0.3, 0.39, 0.3, 0.44, 0.48, 0.44, 0.52, 
##     0.48, 0.31, 0.54, 0.49, 0.33, 0.3, 0.33, 0.54, 0.38, 0.31, 
##     0.39, 0.74, 1.02, 1.2, 0.98, 1.21, 1.44, 0.74, 0.92, 0.9, 
##     0.64, 1.03, 1.41, 1.16, 0.67, 0.52, 0.84, 1.15, 1.15, 1.15, 
##     1.18, 1.13, 1.41, 1.66, 1.44, 1.18, 0.95, 0.72, 0.57, 0.21, 
##     0.13, 0.26, 0.64, 0.41, 0.41, 0.38, 0.34, 0.34, 0.34, 0.31, 
##     0.33, 0.52, 0.61, 0.66, 0.64, 0.61, 0.56, 0.36, 0.28, 0.26, 
##     0.25, 0.23, 0.13, -0.03, 0.1, 0.21, 0.33, -0.13, -0.2, -0.28, 
##     -0.49, -0.15, -0.23, -0.23, -0.18, -0.13, -0.11, 0.18, 0.23, 
##     0.3, -0.03, 0.28, 0.36, 0.49, 0.26, 0.25, 0.25, 0.33, 0.59, 
##     0.71, 0.69, 0.64, 0.43, 0.34, 0.34, 0.52, 0.51, 0.71, 0.98, 
##     1.21, 1.74, 1.51, 1.49, 0.69, 0.43, 0.36, 0.26, 1.07, 1.35, 
##     1.74, 1.41, 1.39, 1.3, 1.05, 0.89, 0.92, 0.82, 0.43, 0.94, 
##     1.07, 1.15, 1.28, 1.13, 0.87, 0.28, 0.15, 0.2, 0.36, 0.48, 
##     0.48, 0.49, 0.52, 0.46, 0.46, 0.49, 0.66, 0.21, -0.11, -0.07, 
##     0, 0.07, 0.23, 0.3, -0.02, -0.36, 0.02, 0.02, -0.1, -0.13, 
##     -0.18, -0.21, -0.31, -0.38, -0.31, -0.1, 0.41, 0.85, 1.1, 
##     1.07, 0.92, 0.9, 0.98, 0.9, 0.89, 0.64, 0.54, 0.46, 0.46, 
##     0.75, 0.82, 0.82, 0.77, 0.48, 0.34, 0.39, 0.67, 0.51, 0.49, 
##     0.49, 0.48, 0.56, 0.52, 0.28, -0.08, -0.21, -0.16, 0.07, 
##     0.03, -0.2, -0.46, -0.69, -0.82, -0.94, -0.69, -0.49, -0.59, 
##     -0.23, -0.13, 0.08, 0.05, 0.02, 0.11, 0.31, 0.38, 0.41, 0.41, 
##     0.36, 0.28, 0.49, 0.48, 0.38, 0.36, 0.36, 0.43, 0.51, 0.54, 
##     0.46, 0.41, 0.39, 0.31, 0.52, 0.72, 0.74, 0.8, 0.74, 1.33, 
##     1.39, 1.1, 1.12, 1.12, 1.1, 1.12, 1.28, 1.33, 1.16, 1.26, 
##     1.23, 1.16, 1.23, 1.08, 1.02, 0.95, 0.89, 0.9, 0.97, 0.15, 
##     0.25, 0.34, 0.15, 0.25, 0.41, 0.48, 0.49, 0.38, 0.34, 0.36, 
##     0.34, 0.31, 0.28, 0.52, 0.52, 0.49, 0.51, 0.51, 0.48, 0.41, 
##     0.39, 0.48, 0.54, 0.59, 0.61, 0.67, 0.74, 0.79, 0.74, 0.87, 
##     0.97, 1.1, 1.15, 0.34, 0.33, 0.31, 0.3, 0.33, 0.3, 0.34, 
##     0.3, 0.3, 0.33, 0.33, 0.31, 0.33, 0.31, 0.28, 0.28, 0.3, 
##     0.33, 0.34, 0.33, 0.33, 0.3, 0.33, 0.33, 0.3, 0.31, 0.3, 
##     0.31, 0.31, 0.31, 0.3, 0.31, 0.3, 0.3, 0.31, 0.31, 0.3, 0.31, 
##     0.31, 0.33, 0.3, 0.31, 0.31, 0.33, 0.33, 0.31, 0.31, 0.31, 
##     0.31, 0.3, 0.31, 0.33, 0.31, 0.31, 0.33, 0.31, 0.3, 0.31, 
##     0.31, 0.31, 0.33, 0.33, 0.3, 0.3, 0.31, 0.33, 0.33, 0.31, 
##     0.31, 0.31, 0.31, 0.28, 0.31, 0.33, 0.31, 0.33, 0.3, 0.28, 
##     0.31, 0.33, 0.31, 0.31, 0.28, 0.28, 0.28, 0.28, 0.31, 0.31, 
##     0.33, 0.34, 0.39, 0.39, 0.36, 0.34, 0.3, 0.33, 0.26, 0.26, 
##     0.28, 0.3, 0.34, 0.34, 0.34, 0.34, 0.34, 0.33, 0.34, 0.46, 
##     0.44, 0.59, 0.71, 0.49, 0.61, 0.66, 0.62, 0.64, 0.54, 0.44, 
##     0.51, 0.62, 0.71, 0.44, 0.36, 0.34, 0.26, 0.18, 0.2, 0.23, 
##     0.16, 0.03, -0.08, -0.07, -0.08, -0.13, -0.11, -0.1, -0.02, 
##     -0.03, -0.15, -0.15, -0.02, -0.16, -0.25, -0.2, -0.18, -0.2, 
##     -0.18, -0.25, -0.25, -0.23, 0.16, 0.18, 0.18, 0.07, -0.02, 
##     0.05, 0.18, 0.31, 0.34, 0.28, 0.26, 0.18, 0.08, 0.15, 0.2, 
##     0.31, 0.41, 0.57, 0.52, 0.48, 0.48, 0.46, 0.3, 0.23, 0.23, 
##     0.21, 0.23, 0.38, 0.54, 0.56, 0.69, 0.75, 0.69, 0.64, 0.57, 
##     0.33, 0.34, 0.34, 0.36, 0.44, 0.44, 0.46, 0.51, 0.49, 0.51, 
##     0.49, 0.44, 0.46, 0.49, 0.59, 0.74, 0.64, 0.25, 0.03, -0.15, 
##     0.03, 0.21, 0.31, 0.43, 0.48, 0.48, 0.39, 0.39, 0.38, 0.36, 
##     0.36, 0.28, 0.23, 0.23, 0.3, 0.41, 0.51, 0.61, 0.79, 0.69, 
##     0.64, 0.64, 0.66, 0.67, 0.69, 0.66, 0.62, 0.48, 0.41, 0.34, 
##     0.46, 0.48, 0.56, 0.64, 0.62, 0.64, 0.31, 0.31, 0.25, 0.16, 
##     0.15, 0.28, 0.28, 0.25, 0.11, -0.1, -0.31, -0.49, -0.66, 
##     -0.69, -0.49, -0.36, -0.61, -0.51, -0.52, -0.61, -0.62, 0.48, 
##     0.49, 0.49, 0.46, 0.44, 0.44, 0.31, 0.36, 0.39, 0.49, 0.54, 
##     0.46, 0.62, 0.69, 0.57, 0.52, 0.41, 0.52, 0.36, 0.41, 0.61, 
##     0.48, 0.54, 0.52, 0.46, 0.46, 0.43, 0.25, 0.2, 0.21, 0.3, 
##     0.25, -0.21, -0.46, -0.64, -0.48, -0.3, -0.43, -0.21, -0.05, 
##     -0.34, -0.23, -0.31, -0.49, -0.3, -0.2, -0.11, -0.46, -0.54, 
##     -0.59, -0.39, -0.31, -0.33, -0.18, -0.18, -0.33, -0.11, -0.05, 
##     -0.11, -0.18, 0.03, 0.15, 0.11, -0.03, -0.07, -0.03, -0.02, 
##     0, 0.56, 0.57, 0.56, 0.52, 0.36, 0.33, 0.21, 0.25, 0.3, 0.26, 
##     0.28, 0.41, 0.43, 0.26, 0.38, 0.28, 0.34, 0.48, 0.54, 0.56, 
##     0.51, 0.49, 0.48, 0.48, 0.43, 0.66, 0.69, 0.69, 0.49, 0.54, 
##     0.57, 0.57, 0.54, 0.43, 0.31, 0.31, 0.25, 0.11, 0.1, 0.15, 
##     0.3, 0.03, -0.44, -0.56, -0.51, -0.49, -0.56, -0.48, -0.2, 
##     -0.3, -0.21, -0.34, -0.33, -0.05, 0.07, 0.2, 0.3, 0.38, 0.34, 
##     0.23, 0.28, 0.34, 0.39, 0.41, 0.11, 0.1, 0.13, 0.28, 0.36, 
##     0.39, 0.39, 0.41, 0.38, 0.39, 0.33, 0.3, 0.33, 0.33, 0.34, 
##     0.48, 0.71, 0.72, 0.77, 0.69, 0.59, 0.44, 0.43, 0.41, 0.38, 
##     0.38, 0.38, 0.38, 0.57, 0.46, 0.43, 0.64, 0.74, 0.62, 0.52, 
##     0.43, 0.3, 0.02, 0.1, 0.38, 0.31, 0.31, 0.25, -0.16, -0.23, 
##     -0.38, -0.48, -0.36, -0.25, -0.28, 0.64, 0.64, 0.56, 0.41, 
##     0.33, 0.25, 0.16, 0.52, 0.79, 0.9, 0.94, 0.87, 0.67, 0.62, 
##     0.54, 0.48, 0.43, 0.28, 0.38, 0.44, 0.49, 0.51, 0.57, 0.64, 
##     0.69, 0.84, 0.89, 1.13, 1.05, 0.49, -0.1, -0.02, 0, -0.21, 
##     -0.46, -0.56, -0.56, -0.74, -0.59, -0.44, -0.26, -0.3, -0.38, 
##     -0.38, 0.03, -0.02, -0.25, -0.2, -0.02, 0.07, 0.21, 0.28, 
##     0.33, 0.48, 0.51, 0.51, 0.49, 0.49, 0.52, 0.59, 0.79, 1.2, 
##     1.28, 1.33, 1.3, 1.21, 0.94, 0.89, 0.9, 0.92, 0.87, 0.9, 
##     0.82, 0.89, 0.82, 0.8, 0.92, 0.92, 0.87, 1, 1.08, 1.23, 1.25, 
##     1.21, 1.23, 0.95, 0.13, -0.46, -0.54, -0.74, -0.8, -0.97, 
##     -1.25, -1.35, -1.21, -1.07, -0.89, -0.56, -0.57, -0.57, -0.67, 
##     -0.59, -0.56, -0.48, -0.44, -0.18, -0.16, -0.15, -0.13, -0.18, 
##     -0.43, -0.28, -0.11, 0.18, 0.25, 0.46, 0.52, 0.85, 0.89, 
##     1.25, 1.31, 1.95, 1.99, 1.89, 1.2, 0.54, 0.44, 0.44, 0.46, 
##     0.39, 0.3, 0.16, 0.03, -0.18, -0.3, -0.61, -0.69, -0.71, 
##     -0.8, -0.84, -0.79, -0.66, -0.67, -0.72, -0.77, -0.61, -0.57, 
##     -0.66, -0.43, -0.59, -0.66, -0.75, -0.74, -0.61, -0.33, -0.08, 
##     -0.03, 0, 0.34, 0.21, -0.54, -0.28, 0.36, 0.23, -0.34, -0.07, 
##     0.1, 0.34, -0.21, -0.39, -0.34, -0.21, -0.05, 0.2, 0.28, 
##     -0.05, -0.18, -0.05, 0.23, 0.28, 0.31, 0.28, 0.21, 0.18, 
##     0.21, -0.39, -0.44, -0.13, 0.3, 0.39, -0.07, -0.16, -0.23, 
##     -0.2, 0, 0.05, 0.05, 0, -0.08, -0.08, 0, 0.02, 0.02, 0, -0.05, 
##     0.05, 0.03, 0.02, -0.02, -0.03, -0.05, -0.03, -0.03, -0.03, 
##     -0.03, -0.05, -0.05, -0.05, -0.03, -0.05, -0.05, -0.05, -0.02, 
##     0, 0, -0.03, -0.07, -0.07, -0.02, 0.02, 0.03, 0.02, 0, -0.03, 
##     -0.02, -0.03, -0.08, -0.05, 0.05, 0.03, 0, -0.03, -0.03, 
##     -0.02, -0.03, -0.07, -0.1, -0.1, -0.1, -0.03, 0.05, 0.03, 
##     0, -0.07, 0, 0.05, 0.08, 0.08, 0.1, 0.05, 0, -0.03, -0.08, 
##     -0.13, -0.16, -0.13, -0.1, -0.05, -0.07, -0.08, -0.07, -0.05, 
##     0, 0.05, 0.02, -0.1, -0.13, -0.05, 0, -0.05, -0.07, -0.08, 
##     -0.05, -0.02, -0.02, 0, -0.02, -0.05, -0.05, -0.07, -0.1, 
##     -0.1, -0.08, -0.07, 0.02, 0.02, 0, 0, 0.05, 0.08, 0.05, 0, 
##     -0.08, -0.08, -0.05, -0.02, 0.02, 0.07, 0.08, 0.07, 0.05, 
##     -0.02, -0.03, -0.07, -0.05, -0.03, 0.02, 0.02, 0.02, 0, -0.05, 
##     -0.03, 0, 0.02, 0.02, 0, -0.02, -0.02, -0.03, 0.02, -0.02, 
##     -0.03, 0.02, 0.03, -0.03, -0.08, -0.07, -0.03, -0.05, 0, 
##     -0.05, -0.03, -0.02, -0.05, -0.07, -0.08, 0.02, -0.02, -0.03, 
##     -0.02, -0.03, -0.03, -0.03, -0.02, 0, -0.03, -0.05, -0.03, 
##     -0.02, -0.05, -0.02, -0.02, 0, 0.07, 0.08, -0.05, -0.1, -0.03, 
##     0.05, 0.05, 0.05, 0.02, 0, -0.02, 0, 0, 0.16, 0.36, 0.36, 
##     -0.15, -0.34, -0.33, -0.25, -0.15, -0.02, 0.11, 0.07, 0, 
##     -0.1, -0.11, -0.08, -0.05, -0.02, -0.05, -0.02, 0, 0.08, 
##     0.13, 0.08, -0.05, -0.18, -0.15, -0.05, 0.02, 0.07, 0, -0.08, 
##     -0.13, -0.13, -0.1, -0.05, 0.02, 0.2, 0.11, -0.03, 0.07, 
##     0.13, -0.34, -0.36, -0.23, -0.05, -0.02, -0.1, -0.15, -0.15, 
##     -0.1, -0.07, -0.03, 0.07, 0.08, 0.05, 0.02, -0.02, -0.08, 
##     -0.08, -0.02, 0.03, 0.03, 0.03, 0.03, 0, 0, -0.02, -0.02, 
##     0, 0.1, 0.07, -0.1, -0.1, -0.08, -0.05, 0.02, 0.02, 0, 0, 
##     -0.03, -0.02, 0, 0.07, 0.1, 0.11, 0.1, 0.07, 0.11, 0.11, 
##     0.1, 0.1, 0.1, 0.03, -0.03, -0.07, 0.02, 0.07, 0.08, 0.03, 
##     0, 0, 0, 0.07, 0.1, 0.05, -0.05, -0.02, 0, -0.05, 0.03, 0.15, 
##     0.25, -0.16, -0.18, -0.11, 0.07, -0.02, -0.11, -0.18, -0.13, 
##     -0.07, -0.07, -0.05, -0.03, -0.03, -0.07, -0.15, -0.13, -0.11, 
##     0.03, 0.02, -0.02, -0.08, -0.02, -0.03, -0.02, -0.02, -0.02, 
##     -0.02, 0, -0.03, -0.02, -0.02, -0.02, 0, 0, -0.02, -0.03, 
##     -0.03, -0.02, -0.03, -0.03, -0.05, -0.03, -0.02, -0.02, -0.02, 
##     -0.03, -0.03, 0, 0.02, 0.02, 0, -0.02, -0.03, -0.03, -0.02, 
##     -0.02, 0, -0.02, -0.03, -0.03, -0.05, -0.05, -0.02, -0.02, 
##     0, 0, 0, 0, -0.02, -0.02, -0.02, 0, -0.02, -0.02, -0.02, 
##     -0.02, -0.02, 0, 0, 0, -0.03, -0.02, 0, -0.02, 0, -0.02, 
##     -0.02, -0.03, -0.02, -0.02, -0.07, -0.07, -0.05, -0.07, -0.08, 
##     -0.05, -0.03, 0.02, 0.02, -0.02, -0.05, -0.03, 0, 0.02, 0, 
##     -0.03, -0.03, -0.02, -0.02, -0.03, -0.03, -0.05, -0.07, -0.07, 
##     -0.07, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, 
##     -0.03, -0.03, -0.02, -0.02, -0.02, 0.03, 0, -0.02, 0, 0, 
##     0, 0, 0, 0.03, 0.02, 0.02, 0.05, 0.05, 0.05, 0.05, 0.02, 
##     -0.02, 0, 0, 0.02, 0, -0.02, -0.03, -0.03, -0.02, -0.03, 
##     -0.05, -0.05, -0.03, 0, 0, 0, 0, 0, -0.02, -0.02, -0.03, 
##     -0.02, -0.03, -0.05, -0.05, -0.02, -0.03, -0.05, -0.03, -0.02, 
##     -0.03, -0.03, -0.03, -0.05, -0.02, 0, 0, 0, 0, 0, 0.02, 0, 
##     0.02, 0, -0.02, -0.02, -0.05, -0.05, 0, 0, 0, -0.02, -0.02, 
##     -0.02, -0.03, -0.03, -0.02, 0, 0.02, 0, -0.03, -0.02, 0.02, 
##     0, 0, -0.03, -0.05, -0.07, -0.02, 0, 0, -0.05, -0.11, -0.11, 
##     -0.1, -0.11, -0.1, 0, 0.03, 0.05, 0.03, 0.02, -0.03, -0.05, 
##     0, 0.03, 0.05, 0.05, 0.05, 0.07, 0.1, 0.13, 0.03, 0.02, 0, 
##     -0.03, -0.02, 0, 0, 0.02, -0.02, 0, -0.02, -0.1, -0.26, -0.3, 
##     -0.25, -0.16, -0.3, -0.23, -0.28, -0.33, -0.52, -0.57, -0.62, 
##     -0.79, -0.69, -0.44, -0.44, -0.61, -0.64, -0.59, -0.51, -0.41, 
##     -0.39, -0.03, 0.08, 0.15, 0.03, 0.05, 0.05, 0.03, -0.02, 
##     -0.13, -0.21, -0.26, -0.39, -0.43, -0.46, -0.25, -0.05, -0.1, 
##     -0.05, 0.2, 0.44, 0.1, 0.11, 0.54, 0.59, 0.59, 0.59, 0.49, 
##     0.54, 0.64, 0.46, 0.59, 0.39, 0.36, 0.67, 0.72, 0.62, 0.36, 
##     0.25, 0.2, -0.11, -0.15, 0.08, 0.18, -0.02, 0, 0.08, 0.16, 
##     0.21, 0.21, 0.2, 0.11, 0.15, 0.21, 0.33, 0.34, 0.21, -0.05, 
##     -0.38, -0.77, -0.28, -0.31, -0.44, -0.41, -0.2, -0.44, -0.38, 
##     -0.38, -0.43, -0.36, -0.44, -0.57, -0.82, -0.11, -0.2, -0.62, 
##     -0.64, -0.54, -0.38, -0.1, 0.21, 0.16, 0.15, 0.13, 0.02, 
##     0.18, 0.51, 0.51, 0.38, 0.56, 0.89, 0.77, 0.75, 0.67, 0.74, 
##     0.64, 0.72, 0.8, 1, 1.05, 1.05, 1.13, 1.07, 0.69, 0.41, 0.3, 
##     0.34, 0.41, 0.41, 0.18, 0.18, 0.2, -0.1, -0.33, -0.56, -0.59, 
##     -0.64, -0.26, -0.28, -0.79, -0.84, -0.95, -0.62, -0.26, -0.36, 
##     -0.72, -0.89, -1, -0.97, -0.39, -0.36, -0.44, 0.18, 0.34, 
##     0.26, -0.11, -0.1, 0.26, 0.43, 0.62, 0.84, 0.77, 0.69, 0.64, 
##     0.8, 0.92, 0.95, 1.31, 1.28, 1.38, 1.48, 1.18, 1.05, 0.75, 
##     -0.03, -0.26, -0.33, -0.13, 0.23, 0.26, 0.34, 0.44, 0.18, 
##     -0.57, -0.79, -0.89, -1.31, -1.31, -0.97, -0.85, -0.74, -0.72, 
##     -0.79, -0.84, -0.77, -0.77, -0.84, -0.74, -0.61, -0.49, -0.44, 
##     -0.38, -0.34, -0.31, -0.38, -0.46, -0.64, -0.79, -0.36, 0.28, 
##     0.39, 0.3, -0.02, -0.07, 0.08, 0.62, 0.62, 0.71, 0.72, 0.77, 
##     1.12, 0.95, 1, -0.69, -0.64, -0.59, -0.31, -0.61, -0.18, 
##     0.05, 0.36, 0.56, 0.52, 0.31, -0.16, -0.02, 0.94, 0.8, 0.97, 
##     0.71, 0.71, 0.75, 1.05, 1.23, 1.33, 0.64, 0.71, 0.74, 0.94, 
##     1, 0.48, 0.23, 0.16, 0.2, 0.43, 0.46, 0.33, 0.21, 0.03, 0.05, 
##     0.03, -0.03, -0.15, -0.49, -0.74, -0.94, -1.03, -1.03, -0.94, 
##     -0.67, -0.92, -1.02, -1.08, -0.49, -0.44, -0.3, -0.36, -0.67, 
##     -0.8, -0.92, -0.95, -0.82, -0.69, -0.39, -0.33, -0.84, -0.9, 
##     -0.77, -0.44, 0.02, 0.79, 0.75, 0.64, 0.36, 0.21, 0.49, 0.72, 
##     0.94, 1, 1.03, 1.13, 0.89, 0.56, 0.51, 1.13, 1.23, 1.05, 
##     0.82, 0.64, 0.61, 0.94, 1, 0.94, 0.8, 0.64, 0.48, 0.39, -0.08, 
##     -0.26, -0.46, -0.43, -0.21, -0.05, 0.25, 0.39, 0.43, -0.07, 
##     -0.44, -0.87, -0.79, -0.56, -0.85, -1.03, -1.15, -1.16, -1.1, 
##     -1.02, -0.92, -0.79, -0.61, -0.1, -0.34, -0.59, -0.69, -0.94, 
##     -0.72, -0.67, -0.64, -0.54, -0.3, 0, 0.23, 0.64, 0.48, 0.25, 
##     0.03, 0.11, 0.43, 0.59, 0.98, 0.82, 0.64, 0.89, 0.79, 0.82, 
##     0.85, 0.66, 0.59, 0.62, 0.85, 0.95, 1.08, 0.85, 0.57, 0.13, 
##     -0.02, -0.08, -0.02, 0.02, 0.16, 0.16, 0.21, 0.08, -0.03, 
##     -0.26, -0.49, -0.79, -1.2, -0.94, -0.56, -0.36, -0.34, -0.39, 
##     -1.33, -0.72, -0.67, -0.57, -0.07, -0.28, -0.51, -0.61, -0.59, 
##     -0.66, -0.98, -0.75, 0.64, 0.89, 0.79, 0.57, -0.1, 0.18, 
##     0.44, -0.02, -0.1, -0.05, 0.03, 0, -0.03, 0, -0.03, -0.11, 
##     -0.07, -0.03, -0.08, -0.1, -0.1, -0.05, 0.02, 0.08, 0.13, 
##     0.11, 0.07, -0.03, -0.05, -0.03, -0.05, 0.07, -0.02, -0.05, 
##     0, -0.07, -0.13, -0.2, -0.21, -0.1, 0.02, 0.13, 0.11, 0.05, 
##     -0.11, -0.15, -0.11, -0.07, 0.02, 0.08, -0.05, -0.11, -0.15, 
##     -0.03, -0.02, -0.07, -0.07, -0.02, 0.05, 0.13, 0.05, -0.05, 
##     -0.1, -0.13, -0.11, -0.07, -0.18, -0.1, 0, -0.02, 0.11, 0.13, 
##     0.08, -0.25, -0.2, -0.02, 0.11, 0.08, -0.07, -0.11, -0.11, 
##     -0.07, -0.02, 0.02, -0.05, -0.02, 0, 0.02, 0.03, -0.02, -0.07, 
##     -0.05, 0, -0.05, -0.05, -0.02, 0.05, 0, -0.1, -0.07, -0.02, 
##     0.07, -0.07, -0.03, -0.03, -0.03, -0.03, -0.02, 0.03, 0.08, 
##     -0.08, -0.11, -0.1, 0.02, 0.02, -0.03, -0.08, -0.08, -0.07, 
##     -0.03, -0.03, -0.05, -0.05, -0.03, -0.02, 0.05, 0.07, 0.03, 
##     -0.02, 0.03, 0.07, -0.05, -0.07, -0.07, -0.02, 0.02, 0, -0.11, 
##     -0.08, -0.08, -0.05, 0, 0.02, 0, -0.05, -0.07, -0.03, -0.05, 
##     -0.03, 0, -0.05, -0.07, -0.07, -0.02, 0, -0.05, -0.07, -0.08, 
##     -0.05, 0.02, 0, -0.03, -0.03, -0.05, 0.03, -0.07, -0.11, 
##     -0.1, -0.07, -0.03, -0.03, -0.02, 0, 0.02, 0.02, -0.03, -0.05, 
##     -0.07, -0.07, -0.07, 0.05, 0.13, 0, -0.07, -0.03, -0.02, 
##     -0.05, -0.05, -0.02, 0.03, 0.07, 0.07, 0.1, 0.1, 0.02, -0.07, 
##     -0.15, -0.13, -0.07, 0.02, 0.05, -0.1, -0.11, -0.05, -0.05, 
##     -0.1, -0.08, -0.05, 0, 0.03, 0.08, 0.13, 0.08, 0.05, -0.1, 
##     -0.11, 0.02, -0.03, -0.18, -0.26, -0.33, -0.28, -0.16, -0.16, 
##     -0.2, -0.21, -0.11, -0.1, 0.18, 0.1, -0.1, 0.08, 0.08, 0.05, 
##     0.07, 0.08, 0.1, 0.16, 0.05, -0.02, -0.11, 0.02, 0.05, 0.08, 
##     0.13, 0.11, 0.07, 0, 0.03, 0.05, 0.03, 0.02, 0, -0.03, -0.03, 
##     -0.05, -0.02, 0.02, -0.02, 0.02, 0.11, 0.16, 0.2, 0.23, 0.61, 
##     0.66, 0.59, 0.39, -0.07, -0.21, -0.3, -0.11, 0.16, 0.16, 
##     0.11, 0.05, -0.02, -0.07, -0.11, -0.03, 0.02, 0.08, 0.1, 
##     0.05, 0, 0, 0.03, -0.02, -0.03, 0, -0.03, -0.07, -0.07, -0.07, 
##     -0.08, -0.07, -0.05, 0.02, 0, -0.03, -0.02, 0, 0.02, 0.03, 
##     -0.02, 0.02, -0.05, -0.07, -0.08, -0.08, -0.07, -0.02, 0, 
##     -0.07, -0.1, -0.08, -0.02, 0, 0.02, 0, -0.02, -0.07, -0.07, 
##     -0.03, 0, -0.02, -0.02, 0.05, 0.1, 0.08, -0.02, 0.07, -0.07, 
##     0.05, 0, -0.3, -0.38, -0.46, -0.49, -0.43, -0.34, -0.23, 
##     -0.15, -0.11, -0.13, -0.15, -0.2, -0.33, -0.18, -0.26, -0.33, 
##     -0.39, -0.46, -0.44, -0.03, 0.23, 0.18, 0.15, 0.3, 0.18, 
##     0.03, -0.15, 0.39, 0.31, 0.11, 0.08, -0.08, -0.08, 0.1, 0.67, 
##     0.94, 0.43, 0.2, -0.16, 0.3, 0.18, -0.11, -0.21, -0.16, -0.15, 
##     -0.02, -0.02, -0.02, 0.08, 0.28, 0.41, 0.26, 0.1, 0.02, -0.05, 
##     -0.13, -0.28, -0.44, -0.51, -0.25, 0.02, -0.08, -0.2, -0.2, 
##     -0.2, -0.13, -0.26, -0.38, -0.49, -0.36, -0.21, 0.18, 0.36, 
##     -0.1, 0.2, 0.08, 0.03, 0.08, 0.03, 0.02, -0.02, 0.26, 0.13, 
##     0.31, 0.26, 0.46, 0.38, -0.49, 0.2, 0, -0.48, -0.59, -0.23, 
##     0.2, 0.43, 0.56, 0.44, 0.34, 0.2, 0.02, -0.2, -0.31, -0.28, 
##     -0.07, 0.08, 0.07, -0.05, -0.2, -0.11, -0.05, 0.08, 0.03, 
##     -0.02, -0.16, -0.23, 0.39, 0.16, 0.41, -0.2, -0.02, 0.23, 
##     0.3, 0.39, 0.64, 0.54, 0.33, 0.33, 0.28, -0.59, -0.92, -0.87, 
##     -0.3, -0.31, -0.21, 0.31, 0.49, 0.51, 0.15, 0.15, 0.34, 0.46, 
##     0.54, 0.52, -0.02, -0.43, -0.44, -0.49, -0.44, -0.36, -0.26, 
##     -0.25, -0.33, -0.11, -0.2, -0.1, -0.02, 0.23, -0.02, -0.16, 
##     -0.16, -0.1, 0, 0.11, 0.21, 0.11, 0.07, 0.08, 0.26, 0.28, 
##     0.41, 0.66, 0.23, 0.33, 0.49, 0.77, 0.85, 0.21, 0.11, -0.36, 
##     -0.31, -0.26, -0.16, -0.13, -0.43, -0.34, 0.31, 0.36, 0.16, 
##     0.25, 0.13, -0.43, -0.56, -0.64, -0.61, -0.56, -0.59, -0.67, 
##     -0.2, -0.03, 0.1, 0.11, 0.1, -0.07, -0.38, 0.18, 0.59, 0.66, 
##     0.59, 0.57, 0.39, 0.39, 0.07, 0.3, 0.69, 0.89, 0.8, 0.98, 
##     0.51, -0.18, -0.49, -0.31, -0.43, -0.3, 0.54, 0.3, 0.39, 
##     0.1, -0.02, -0.15, -0.3, -0.36, -0.33, -0.34, -0.51, -0.49, 
##     -0.16, -0.18, -0.26, -0.36, -0.43, -0.39, -0.33, -0.34, -0.41, 
##     -0.39, -0.21, -0.18, -0.44, -0.57, -0.41, -0.23, 0.03, 0.66, 
##     0.92, 0.85, 0.9, 0.82, 0.13, 0.08, 0.38, 0.8, 0.92, 1.12, 
##     1.03, 0.36, -0.38, -0.13, -0.3, -0.44, -0.52, 0.26, 1.12, 
##     1, 0.54, 0.25, 0, -0.28, -0.23, -0.11, -0.07, -0.1, -0.16, 
##     -0.2, -0.36, -0.44, -0.49, -0.57, -0.56, -0.56, -0.59, -0.62, 
##     -0.61, -0.57, -0.44, -0.38, -0.31, -0.38, -0.44, -0.49, -0.38, 
##     -0.34, 0.02, 0.15, 0.31, 0.51, 0.26, 0.16, 0.05, 0.34, 0.67, 
##     0.64, 0.02, -0.13, -0.03, 0.07, 0.1, 0.15, 0.48, 0.36, 0.18, 
##     0.21, -0.05, -0.07, -0.08, -0.11, -0.23, -0.41, -0.44, -0.36, 
##     -0.21, -0.33, -0.43, -0.46, -0.56, -0.52, -0.18, -0.15, -0.1, 
##     -0.02, -0.11, -0.07, -0.15, -0.36, -0.62, -0.85, -0.3, 0.05, 
##     0.84, 0.66, 0.54, 0.43, 0.36, 0.31, 0.66, 0.87, 1.13, 1.33, 
##     0.71, 0.05, -0.38, -0.51, -0.28, -0.23, -0.15, 0, 0.26, 0.54, 
##     0.71, 0.15, -0.03, 0, -0.1, -0.25, -0.39, -0.49, -0.52, -0.44, 
##     -0.43, -0.36, -0.38, -0.43, -0.57, -0.69, -0.64, -0.54, -0.3, 
##     -0.2, -0.52, -0.49, -0.26, -0.03, 0.44, 0.49, 0.43, -0.25, 
##     -0.21, 0.49, 0.84, 1.03, 0.31, 0.31, 0.57, 0.72, 0.72, 1.33, 
##     1.3, 0.8, 0.25, -0.43, -0.1, 0.59, 1.15, 0.85, 0.02, 0, 0.07, 
##     0.33, -0.34, -0.48, -0.15, -0.33, -0.51, -0.61, -0.62, -0.23, 
##     -0.1, -0.03, -0.02, -0.1, 0.41, 0.49, 0.36, -0.21, 0.03, 
##     0.26, 0.34, 0.51, 0.44, 0.33, 0.43, 0.75, 0.94, 0.95, 0.02, 
##     0.08, 0.15, 0.3, 0.25, 0.31, 0.36, 0.39, 0.34, 0.38, 0.34, 
##     0.3, 0.26, 0.28, 0.28, 0.28, 0.3, 0.3, 0.28, 0.3, 0.33, 0.33, 
##     0.31, 0.34, 0.34, 0.34, 0.33, 0.3, 0.3, 0.28, 0.33, 0.33, 
##     0.3, 0.33, 0.33, 0.3, 0.31, 0.31, 0.31, 0.3, 0.31, 0.33, 
##     0.3, 0.34, 0.31, 0.31, 0.31, 0.31, 0.3, 0.31, 0.3, 0.3, 0.31, 
##     0.3, -0.08, -0.05, 0.03, -0.26, -0.33, -0.46, -0.44, -0.23, 
##     0.02, -0.08, -0.18, -0.38, -0.25, 0.23, 0.16, 1.18, 1.2, 
##     1.16, 1.1, 1.07, 0.57, 0.52, 0.59, 0.62, 0.66, 0.46, 0.44, 
##     0.48, 0.52, 0.67, 0.69, 0.56, 0.52, 0.46, 0.39, 0.34, 0.26, 
##     -0.02, 0.49, 0.43, 0.49, 0.52, 0.56, 0.54, 0.49, 0.39, 0.43, 
##     0.54, 0.59, 0.59, 0.9, 1.12, 1.02, 0.9, 0.92, 1.08, 1.54, 
##     1.25, 0.38, 0.31, 0.28, 0.41, 0.52, 0.62, 0.71, 0.51, 0.3, 
##     0.36, 0.44, 0.57, 0.84, 1.07, 1, 1.33, 1.15, 0.98, 1.15, 
##     1.03, 0.84, -0.23, -0.21, -0.33, -0.3, -0.03, 0.26, 0.25, 
##     0.26, 0.28, 0.23, 0.15, 0.2, 0.3, 0.33, 0.38, 0.49, 0.62, 
##     0.67, 0.57, 0.52, 0.34, 0.74, 0.82, 0.38, 0.39, 0.38, 0.39, 
##     0.43, 0.41, 0.43, 0.43, 0.46, 0.44, 0.43, 0.44, 0.46, 0.49, 
##     0.49, 0.48, 0.43, 0.31, 0.28, 0.49, 0.48, 0.41, 0.39, 0.39, 
##     0.66, 0.84, 0.85, 0.54, 0.33, 0.11, -0.15, 0, 0.34, 0.51, 
##     0.62, 0.71, 0.8, 1.03, 1.07, 0.94, 0.8, 0.64, 0.2, 0.25, 
##     0.51, 0.48, 0.48, 0.48, 0.39, 0.36, 0.3, 0.31, 0.38, 0.39, 
##     0.1, 0.2, -0.03, -0.03, -0.03, -0.03, -0.05, -0.07, -0.07, 
##     -0.07, -0.05, -0.05, -0.03, -0.03, -0.03, -0.03, -0.03, -0.05, 
##     -0.05, -0.05, -0.05, -0.08, -0.08, -0.1, -0.11, -0.1, -0.07, 
##     0.03, -0.03, -0.03, -0.05, -0.05, -0.03, -0.03, -0.03, -0.02, 
##     -0.02, -0.02, -0.02, -0.03, -0.05, -0.05, 0.03, 0.05, 0.05, 
##     0.02, 0, -0.03, -0.05, 0, -0.13, -0.2, -0.25, -0.26, -0.28, 
##     0.13, 0.18, 0.2, 0.21, 0.1, -0.03, -0.07, -0.1, -0.07, -0.05, 
##     -0.03, 0.02, 0.07, 0.21, 0.26, 0.26, -0.1, -0.15, -0.2, -0.13, 
##     -0.1, -0.08, -0.07, -0.05, -0.03, -0.07, -0.11, -0.13, -0.13, 
##     0, -0.03, -0.07, -0.07, 0, 0, -0.02, 0.05, 0.03, 0.02, -0.02, 
##     -0.02, -0.02, -0.02, -0.03, -0.02, 0, -0.02, 0.07, 0.08, 
##     -0.05, -0.07, -0.07, -0.07, -0.1, -0.26, -0.33, -0.33, -0.34, 
##     -0.34, -0.34, -0.3, -0.21, -0.13, -0.05, -0.1, -0.07, -0.08, 
##     -0.1, -0.08, -0.05, 0.11, 0.16, 0.18, 0.1, 0.05, 0.02, 0.02, 
##     -0.02, -0.02, 0.02, 0.03, 0.08, 0.15, 0.26, 0.3, 0.28, -0.1, 
##     -0.16, -0.18, -0.39, -0.46, -0.46, -0.11, -0.07, 0, -0.02, 
##     -0.02, 0, 0.02, -0.11, -0.15, -0.13, -0.07, -0.03, -0.03, 
##     -0.03, -0.03, -0.05, -0.05, -0.05, -0.07, -0.05, -0.03, -0.03, 
##     -0.03, 0, -0.03, -0.05, -0.05, -0.05, -0.07, 0.38, 0.43, 
##     0.43, 0.33, 0.16, 0.1, -0.11, -0.66, -0.2, 0.25, 0.31, 0.34, 
##     0.36, 0.33, 0.25, 0.26, 0.33, 0.48, 0.51, 0.33, 0.15, -0.31, 
##     -0.31, -0.07, 0.13, 0.31, 0.21, -0.03, -0.1, -0.07, -0.05, 
##     0.02, 0.15, 0.25, 0.16, -0.2, -0.18, -0.02, 0.02, 0.03, 0.03, 
##     0.1, -0.03, -0.13, -0.11, -0.07, -0.03, -0.03, -0.03, -0.07, 
##     0, -0.03, -0.02, -0.07, -0.03, -0.03, -0.07, -0.05, -0.03, 
##     0, 0.02, 0, -0.03, -0.07, -0.07, -0.05, -0.05, -0.03, -0.05, 
##     -0.05, 0.02, 0.07, 0.1, 0.13, 0.18, 0.2, 0.16, 0, -0.05, 
##     -0.08, -0.02, 0.05, 0.18, 0.1, 0.02, -0.05, -0.11, -0.03, 
##     0, 0.02, 0.03, 0.07, -0.08, -0.08, 0.05, 0.18, 0.18, 0.18, 
##     0.25, 0.46, 0.36, 0.11, 0.02, -0.03, -0.26, -0.21, -0.13, 
##     -0.02, 0.44, 0.39, 0.03, -0.56, -0.57, -0.38, -0.21, 0.07, 
##     0.97, 0.98, -0.02, -0.07, -0.07, -0.03, -0.03, -0.05, -0.07, 
##     -0.07, -0.08, -0.08, -0.07, -0.07, -0.05, -0.03, -0.02, 0.02, 
##     0.11, 0.15, 0.1, 0.07, 0.03, -0.07, -0.1, -0.11, -0.13, -0.07, 
##     0.11, 0.08, -0.13, -0.41, -0.67, -0.87, -1.1, -1.12, -1.05, 
##     -0.94, -0.85, -0.64, -0.33, -0.2, -0.1, -0.28, -0.97, -1.62, 
##     -1.71, -1.61, -1.33, 0.03, 0.31, 0.39, 0.02, -0.23, 0.46, 
##     0.43, 0.31, -0.08, -0.13, -0.15, -0.13, -0.07, 0.33, 0.43, 
##     0.56, 0.44, 0.57, 0.33, 0.28, 0.39, 0.61, 0.08, -0.05, -0.15, 
##     0.77, 0.74, 0.69, 0.64, 0.54, 0.39, 0.21, 0.18, -0.71, -1.07, 
##     -1.56, -1.35, -0.41, 0.02, 0.21, 0.13, -0.02, -0.26, -1, 
##     -0.75, -0.62, -0.61, -0.51, -0.11, -0.05, -0.31, -0.67, -0.79, 
##     -0.82, 0.41, 0.43, 0.36, 0.15, 0.02, 0.03, 0.03, 0.07, 0.08, 
##     0.11, 0.13, -0.1, -0.07, -0.05, 0.02, 0.44, 0.61, 0.59, 0.51, 
##     0.08, -0.16, -0.33, -0.84, -0.72, -0.44, -0.15, 0.07, 0.03, 
##     -0.21, -0.36, -0.41, -0.41, -0.36, -0.26, -0.08, 0.46, -0.05, 
##     -0.97, -0.26, 0.03, 0.2, 0.33, 0.36, 0.38, 0.3, 0.33, 0.28, 
##     -0.13, -0.07, 0.07, 0.66, 0.95, 0.3, -0.16, 0.54, 0.71, 0.94, 
##     1.02, 0.9, 0.72, 0.51, 0.59, 0.75, 0.33, -0.85, -0.61, -0.21, 
##     -0.2, -0.51, -0.57, -0.67, -0.48, -0.31, -0.02, -0.28, -0.43, 
##     -0.54, -0.49, -0.34, -0.13, 0.23, 0.26, -0.21, -0.16, 0.03, 
##     0.16, 0.13, -0.13, -0.07, 0.07, 0.11, 0.16, 0.38, 0.43, 0.49, 
##     0.44, 0.3, 0.26, 0.39, 0.28, 0.41, 0.57, 0.67, 0.43, 0.11, 
##     0.07, 0.51, 0.38, 0.36, 0.44, 0.64, 0.43, 0.25, 0.03, -0.34, 
##     -0.44, -0.44, -0.2, -0.56, -0.9, -0.98, -1.1, -1.49, -1.61, 
##     -0.8, -0.48, -0.41, -0.44, -0.62, -0.74, -0.75, -0.71, -0.71, 
##     -0.46, -0.36, -0.46, 0.3, 0.03, -0.16, -0.33, 0.03, 0.02, 
##     0.03, 0.07, -0.21, -0.2, -0.15, -0.13, 0, 0.16, 0.38, 0.49, 
##     0.38, 0.43, 0.59, 0.52, 0.44, 0.49, 0.67, 0.71, 0.79, 0.26, 
##     0.48, 0.62, 0.66, 0.57, 0.16, -0.43, -0.05, 0.05, 0.03, 0.05, 
##     -0.02, -0.15, -0.23, -0.2, -0.2, -0.28, -1.43, -1.2, -0.57, 
##     -0.25, 0, 0.13, 0.15, 0.08, -0.07, -0.34, -0.74, -0.87, 0.07, 
##     -0.41, -0.62, -0.61, -0.18, 0.2, 0.26, 0.26, -0.05, -0.13, 
##     -0.2, -0.11, 0.02, -0.02, -0.11, -0.13, -0.11, -0.07, 0, 
##     0.13, 0.11, 0.43, 0.21, 0.13, 0.16, 0.31, 0.79, 0.66, 0.54, 
##     0.48, 0.38, 0.23, 0.36, 0.43, 0.49, 0.52, 0.56, 0.34, 0.33, 
##     0.31, 0.3, 0.3, 0.31, 0.3, 0.18, -0.18, 0.28, 0.69, 0.25, 
##     -0.2, -0.48, -0.54, -0.18, -0.15, -0.48, -1.12, -1.51, -1.44, 
##     -0.92, -0.52, -0.25, 0.08, -1.25, -1.43, -1.41, -1.05, -0.9, 
##     -0.64, 0.16, 0.3, 0.3, -0.05, -0.46, -0.66, -0.38, -0.23, 
##     0.2, 0.39, 0.46, 0.3, 0.03, -0.23, -0.48, -0.46, -0.39, -0.28, 
##     0.11, 0.16, 0.07, -0.08, -0.21, -0.18, -0.11, 0.1, 0.11, 
##     0.08, 0.07, 0.16, 0.26, 0.1, 0.31, 0.49, 0.49, 0.36, 0.85, 
##     0.54, 0.31, 0.46, 0.8, 0.48, 0.67, -0.49, -1.07, -1.41, -1.36, 
##     0.34, -0.44, -0.74, -0.9, -0.64, -0.39, -0.15, 0.03, 0.15, 
##     0.16, -0.11, -0.25, -0.15, -0.1, -0.25, -0.43, -0.39, -0.28, 
##     -0.03, 0, 0, -0.05, -0.21, -0.23, -0.16, 0.08, 0.18, 0.25, 
##     0.3, 0.26, 0.15, 0, -0.05, -0.1, 0.1, 0.11, 0.31, 0.38, 0.39, 
##     0.44, 0.48, 0.38, 0.34, 0.44, 0.61, 0.84, 0.71, 1.08, 1.2, 
##     1.2, 1.35, 1.35, 0.79, 0.79, 0.74, 1.08, 1.26, 1.18, 1.15, 
##     0.85, 0.79, 0.98, 1.02, 0.98, 0.95, 0.67, 0.69, 0.79, 0.95, 
##     1, 0.95, 0.87, 0.56, 0.69, 0.72, 0.67, 0.56, 0.46, 0.54, 
##     0.44, 0.41, 0.34, 0.3, 0.33, 0.36, 0.36, 0.08, 0.05, 0.23, 
##     0.3, 0.26, 0.21, 0, -0.16, -0.34, -0.46, -0.51, -0.39, -0.34, 
##     -0.23, -0.02, -0.03, -0.03, 0, 0.16, 0.34, 0.21, 0.25, 0.46, 
##     0.54, 0.3, 0.34, 0.41, 0.57, 0.61, 0.57, 0.52, 0.49, 0.41, 
##     0.39, 0.46, 0.52, 0.57, 0.64, 0.72, 0.79, 0.82, 0.92, 1.05, 
##     1.08, 0.98, 0.9, 0.75, 0.85, 1.02, 1.07, 1.08, 1.15, 1.08, 
##     0.75, 0.71, 0.82, 1.23, 1.23, 1, 0.71, 0.66, 0.62, 0.67, 
##     0.8, 0.74, -0.05, -0.16, -0.02, 0.21, 0.21, 0.2, 0.13, 0.05, 
##     -0.13, 0.36, 1, 0.89, 0.61, 0.23, -0.11, -0.18, -0.05, 0.21, 
##     0.08, -0.08, -0.34, 0.43, 0.34, 0.15, 0.05, 0.1, 0.11, -0.15, 
##     -0.1, -0.03, 0.03, 0.11, 0.18, 0.21, -0.11, -0.43, -0.66, 
##     -0.79, -0.87, -0.87, -0.79, -0.41, -0.21, -0.25, -0.26, -0.3, 
##     -0.38, -0.77, -0.84, -0.94, -0.9, 0.41, 0.1, -0.13, -0.25, 
##     -0.34, -0.34, -0.3, -0.21, -0.08, -0.08, -0.16, -0.44, -0.56, 
##     -0.46, 0.18, 0.18, 0.13, 0.02, -0.03, -0.07, -0.07, -0.07, 
##     0.03, -0.1, -0.15, -0.11, -0.1, -0.1, -0.1, -0.11, -0.1, 
##     0.11, 0.08, -0.16, -0.21, -0.23, -0.15, -0.28, -0.25, -0.23, 
##     -0.07, -0.05, -0.03, 0, -0.11, -0.11, -0.11, -0.16, -0.26, 
##     -0.38, -0.18, -0.07, 0.03, -0.08, -0.82, -0.8, -0.74, -0.46, 
##     -0.28, -0.03, 0.15, -0.05, 0, 0, 0, -0.02, -0.02, -0.03, 
##     -0.02, -0.03, 0.05, -0.1, -0.02, 0, -0.02, -0.05, -0.07, 
##     -0.08, -0.08, 0.18, -0.02, -0.08, -0.07, -0.05, 0, 0, -0.03, 
##     -0.03, -0.03, -0.03, -0.05, -0.03, -0.03, -0.02, 0, 0.02, 
##     0.02, 0, 0, -0.03, -0.05, -0.05, -0.08, 0.03, 0.03, 0.02, 
##     0.03, 0.05, 0.1, 0.23, 0.54, 0.56, 0.41, 0.11, 0.03, -0.1, 
##     0.15, 0.23, 0.33, 0.44, 0.56, 0.66, 0.69, 0, -0.2, -0.3, 
##     -0.33, -0.23, -0.13, -0.07, -0.05, -0.33, -0.23, -0.11, -0.13, 
##     -0.26, -0.15, -0.07, -0.38, -0.15, 0.23, 0.31, -0.25, -0.03, 
##     0.26, 0.62, 0.57, 0.49, 0.41, 0.34, 0.3, 0.46, 0.62, 0.57, 
##     0.54, 0.64, 0.57, 0.46, 0.34, 0.31, 0.26, 0.23, 0.23, 0.18, 
##     0.02, -0.21, -0.46, -0.51, -0.13, -0.25, 0.15, 0.21, 0.1, 
##     0, -0.07, -0.05, -0.03, 0.03, 0.16, 0.26, 0.28, 0.31, 0.46, 
##     0.48, 0.46, 0.41, 0.33, 0.26, 0.57, 0.62, 0.56, 0.59, -0.61, 
##     -0.44, -0.31, -0.23, -0.2, -0.26, -0.23, 0.07, -0.3, -0.33, 
##     -0.23, 0, 0.2, 0.46, 0.64, 0.69, 0.66, 0.54, 0.44, 0.41, 
##     0.38, 0.31, 0.28, 0.26, 0.3, 0.31, 0.33, -0.38, -0.52, -0.11, 
##     0.07, -0.07, -0.07, 0.02, -0.11, -0.2, -0.11, -0.18, -0.16, 
##     -0.11, -0.16, -0.26, -0.28, -0.2, -0.2, -0.21, -0.13, 0.16, 
##     0.28, 0.2, 0.1, 0.07, 0.31, 0.3, 0.3, 0.31, 0.31, 0.31, 0.31, 
##     0.31, 0.33, 0.31, 0.3, 0.3, 0.31, 0.31, 0.28, 0.33, 0.3, 
##     0.31, 0.3, 0.31, 0.3, 0.3, 0.3, 0.33, 0.33, 0.3, 0.3, 0.33, 
##     0.52, 0.38, 0.31, 0.16, 0.23, 231, 0.34, 0.25, 0.21, 0.28, 
##     0.26, 0.26, 0.34, 0.36, 0.39, 0.21, 0.25, 0.11, 0.16, 0.18, 
##     0.18, 0.28, 0.3, 0.3, 0.31, 0.33, 0.31, 0.33, 0.33, 0.34, 
##     0.34, 0.34, 0.34, 0.34, 0.34, 0.38, 0.44, 0.44, 0.39, 0.31, 
##     0.25, 0.23, 0.25, 0.26, 0.31, 0.28, 0.33, 0.26, 0.18, 0.2, 
##     0.23, 0.25, 0.3, 0.33, 0.25, 0.23, 0.23, 0.25, 0.25, 0.26, 
##     0.3, 0.34, 0.38, 0.38, 0.38, 0.31, 0.28, 0.28, 0.26, 0.25, 
##     0.62, 0.21, 0.02, -0.07, -0.16, -0.11, 0.13, 0.16, 0.13, 
##     0.15, 0.1, 0.1, 0.16, -0.02, -0.11, -0.15, -0.25, -0.38, 
##     -0.43, -0.39, -0.36, -0.31, -0.51, -0.52, -0.56, -0.3, -0.02, 
##     0.34, 0.28, 0.36, 0.87, 0.85, 0.84, 0.54, 0.57, 0.31, 0.26, 
##     0.16, 0.07, 0.67, -0.16, -0.3, 0.1, 0.16, 0.16, 0.71, 0.56, 
##     0.44, 0.2, 0.18, 0.28, 0.3, 0.31, 0.38, 0.33, 0.18, 0.08, 
##     0.18, 0.1, 0.02, 0.07, 0.11, -0.16, -0.18, -0.41, -0.21, 
##     -0.3, -0.38, -0.57, -0.23, 0.08, 0.3, 0.08, 0.02, 0.51, 0.34, 
##     0.07, 0.11, 0.23, 0.23, 0.28, -0.03, -0.03, -0.02, -0.02, 
##     -0.07, -0.11, -0.11, -0.11, -0.11, -0.11, -0.11, -0.2, -0.25, 
##     -0.28, -0.31, -0.28, -0.21, -0.15, -0.3, -0.36, -0.39, -0.41, 
##     -0.46, -0.48, -0.39, -0.38, -0.39, -0.41, -0.31, -0.03, -0.02, 
##     0.82, 0.67, -0.23, -0.56, -0.72, -0.66, -0.07, 0.9, 0.9, 
##     0.16, -0.56, -0.79, -0.95, -1.05, -1.03, -0.98, -0.94, -0.9, 
##     -0.89, -0.89, -0.82, -0.79, -0.44, -0.31, -0.18, -0.03, -0.48, 
##     -0.62, -0.71, -0.71, -0.71, 0.2, 0.23, 0.13, 0, -0.03, -0.05, 
##     0.03, -0.1, -0.51, -0.38, -0.34, -0.43, -0.57, -0.84, -0.75, 
##     -0.69, -0.54, -0.44, -0.43, -0.44, -0.49, -0.57, -0.69, -0.62, 
##     -0.08, -0.05, 0.13, 0.54, 0.67, 0.57, 0.67, 0.72, 0.87, 1.12, 
##     0.67, 0.41, 0.66, 0.82, 0.98, 0.16, 0, 0.05, 0.11, 0.3, 0.75, 
##     0.51, 0.2, -0.03, -0.23, -0.11, 0.15, 0.26, 0.23, 0.07, 0.03, 
##     0.03, 0.03, -0.16, -0.34, -0.41, -0.51, -0.46, -0.49, -0.39, 
##     -0.41, -0.44, -0.48, -0.43, -0.33, -0.43, -0.57, -0.85, -1.1, 
##     -0.13, 0.02, 0.07, 0.43, 0.48, 0.44, 0.46, 0.57, 0.69, 0.82, 
##     0.2, 0.1, -0.02, -0.13, -0.23, -0.1, -0.08, -0.1, -0.16, 
##     -0.18, -0.16, -0.13, -0.13, -0.11, -0.08, -0.1, -0.1, -0.02, 
##     -0.03, -0.13, -0.13, -0.03, -0.03, -0.03, -0.07, -0.11, -0.13, 
##     -0.05, -0.05, 0.03, 0.02, 0.05, 0.08, -0.02, -0.02, -0.02, 
##     -0.2, -0.26, -0.26, -0.28, -0.31, -0.51, -0.56, -0.51, -0.39, 
##     -0.46, -0.49, -0.79, -0.82, -0.51, -0.51, -0.57, -0.75, -0.74, 
##     -0.64, -0.43, -0.08, 0, 0.07, 0.79, 0.94, 1.18, 1.3, 1.77, 
##     1.08, 1.84, 1.77, 1.76, 1.49, 1.07, 1, 1.02, 0.95, 0.64, 
##     0.46, 0.41, 0.56, 0.54, 0.48, 0.38, 0.13, -0.03, -0.07, -0.07, 
##     -0.23, -0.33, -0.56, -0.56, -0.52, -0.9, -0.92, -0.97, -0.92, 
##     -1.1, -1.16, -1.18, -0.16, 0.18, 0.71, 0.57, 0.11, 0, 0.62, 
##     0.84, 1.05, 1.43, 1.43, 1.41, 1.51, 1.44, 1.49, 1.39, 1.39, 
##     1.59, 1.59, 1.35, 1.23, 1.1, 1.13, 1.02, 1.2, 0.79, 0.71, 
##     0.67, 0.39, 0.3, 0.66, 0.49, 0.28, -0.08, -0.11, -0.11, -0.1, 
##     -0.28, -0.31, -0.8, -0.67, -0.71, -0.75, -0.97, -1.08, -1.08, 
##     -1.03, -0.77, -0.74, -0.72, -0.85, -0.92, -0.62, -0.44, -0.31, 
##     0.26, 0.44, 0.49, 0.57, 0.31, 0.28, 0.28, 0.74, 1, 1.07, 
##     1.36, 1.48, 1.39, 1.3, 0.9, 0.52, 0.84, 1, -1.15, -1.28, 
##     -0.66, -0.98, -1.48, -1.53, -0.87, -0.49, 0.28, 0.33, 0.28, 
##     -0.05, 0.31, 1.25, 1.51, 2.3, 2.26, 2.62, 2.2, 2.2, 1.79, 
##     1.54, 1.51, 1.28, 0.89, 0.57, 0.16, 0.28, 0.89, 0.3, -0.44, 
##     -0.16, -0.21, -0.11, -0.15, -0.33, -0.79, -0.94, -0.92, -0.52, 
##     -0.57, -0.64, -0.72, -0.87, -1.08, -1.15, -1.03, -1.07, -1.18, 
##     -1.35, -0.97, -0.67, -0.39, -0.28, -0.62, -0.16, -0.07, 0.3, 
##     0.64, 0.67, 0.75, 1.02, 1.15, 1.97, 2.26, 2.71, 2.4, 2.67, 
##     2.02, 1.76, 2.05, 1.71, 1.41, 0.57, 0.95, 0.98, 0.71, 0.07, 
##     -0.03, -0.05, 0.07, 0.07, -0.02, -0.13, -0.21, -0.31, -0.94, 
##     -0.79, -0.56, -0.62, -0.71, -0.67, -1.15, -1.71, -1.41, -1.33, 
##     -1.44, 0.43, 0.57, 0.59, 2.17, 1.95, 1.92, -0.82, -0.82, 
##     -0.72, -1.56, -1.64, -1.59, -1.46, -1.39, -1.61, -1.97, -2.13, 
##     -2.36, -2.2, -0.71, -0.13, 0.79, 0.74, 0.69, 0.82, 0.84, 
##     1.25, 1.16, 1.07, 1.33, 1.56, 1.79, 2.08, 1.71, 1.92, 1.9, 
##     1.53, 1.31, 1.15, 0.89, 0.25, -0.02, 0.13, -0.13, 0.26, 1.03, 
##     1.2, 0.95, 0.52, 0.38, 0.39, 0.41, 0.33, 0.1, 0.02, -0.39, 
##     -0.49, -0.92, -0.98, -1.05, -1.1, -1.08, -1.07, -1.26, -1.35, 
##     -1.51, -1.53, -1.61, -1.66, -1.57, -1.49, -0.2, 0.33, 0.64, 
##     0.61, 0.61, 0.59, 0.36, 0.98, 1.41, 1.97, 2.07, 2.69, 2.49, 
##     2.4, 2.35, 2.07, 1.57, 1.28, 1.25, 1.35, 0.94, 0.67, -0.02, 
##     0.05, 0.1, 0.08, 0.05, 0.03, 0.05, 0.13, 0.23, 0.34, 0.34, 
##     0.31, 0.33, 0.43, 0.51, 0.61, 0.41, 0.36, 0.34, 0.33, 0.33, 
##     0.31, 0.33, 0.38, 0.38, 0.43, 0.41, 0.38, 0.33, 0.33, 0.46, 
##     0.49, 0.43, 0.44, 0.52, 0.52, 0.54, 0.59, 0.72, 0.89, 0.84, 
##     0.77, 0.84, 0.69, 0.61, 0.61, 0.82, 0.85, 0.82, 0.87, 0.94, 
##     0.97, 0.97, 0.94, 0.72, 0.74, 0.85, 0.87, 0.79, 0.82, 0.67, 
##     -0.13, -0.25, -0.13, -0.31, -0.56, -0.56, -1.05, -0.82, -0.97, 
##     -0.85, -0.66, -0.74, -0.72, -0.75, -0.77, -0.84, -0.85, -0.62, 
##     -0.39, -0.51, -0.46, -0.46, -0.44, -0.41, -0.43, -0.48, -0.41, 
##     -0.43, -0.46, -0.39, 0.07, 0.3, 0.49, 0.46, 0.79, 0.71, 0.59, 
##     0.61, 0.71, 0.82, 0.84, 0.89, 0.98, 1.05, 1.02, 0.92, 1.12, 
##     0.89, 0.79, 0.85, 0.97, 0.94, 0.9, 0.92, 0.95, 0.89, 0.85, 
##     0.87, 0.94, 0.95, 1.02, 1.16, -0.26, -0.15, -0.2, -0.2, -0.13, 
##     -0.02, 0.3, 0.34, 0.34, 0.36, 0.38, 0.36, 0.31, 0.25, 0.2, 
##     0.23, 0.3, 0.36, 0.62, 0.75, 0.8, 1.15, 1.1, 1.08, 1.03, 
##     0.94, 0.94, 1, 1.1, 1.15, 1.16, 1.13, 1.15, 1.16, 1.05, 0.97, 
##     1.03, 1.08, 1.03, 0.97, 0.95, 0.94, 0.9, 0.94, 1.02, 0.95, 
##     0.9, 0.94, 0.95, 0.85, 0.66, 0.21, 0.03, 0.05, -0.05, -0.23, 
##     -0.41, -0.77, -0.98, -0.92, -0.92, -1.02, -1, -1.05, -0.92, 
##     -0.89, -0.61, -0.57, -0.74, -0.89, -0.9, -0.54, -0.46, -0.36, 
##     -0.2, -0.05, -0.03, -0.2, -0.2, -0.13, -0.15, -0.15, 0.25, 
##     0.38, 0.43, 0.48, 0.97, 1, 1.03, 1.05, 1.07, 1.07, 1, 0.97, 
##     1.03, 0.84, 0.66, 0.44, 0.11, -0.07, -0.15, -0.23, -0.39, 
##     -0.48, -0.87, -0.72, -0.87, -1.05, -1.13, -0.54, -0.49, -0.46, 
##     -0.69, -0.84, -0.87, -0.72, -0.57, -0.51, -0.38, -0.34, -0.23, 
##     -0.13, -0.13, -0.18, -0.16, -0.1, -0.02, 0.25, 0.49, 0.61, 
##     0.43, 0.33, 0.41, 0.54, 0.62, 0.69, 0.79, 1.02, 1.2, 1.3, 
##     1.44, 1.46, 1.51, 1.51, 1.49, 1.53, 1.49, 1.49, 1.46, 1.28, 
##     1.21, 1.16, 1.12, 1.31, 1.16, 1.05, 0.9, 0.85, 0.59, 0.54, 
##     0.18, -0.38, -0.66, -0.59, -0.69, -0.92, -0.85, -0.84, -1.18, 
##     -1.02, -0.97, -0.94, -1.15, -1.07, -0.79, -0.67, -0.61, -0.49, 
##     -0.25, -0.08, 0.02, -0.33, -0.25, -0.28, -0.33, -0.26, -0.05, 
##     0.08, 0.25, 0.34, 0.44, 0.52, 0.72, 0.79, 0.9, 1.02, 1.07, 
##     1.1, 1.35, 1.36, 1.31, 1.15, 1.13, 1.25, 1.03, 1.03, 1.35, 
##     1.41, 1.3, 1.12, 1.03, 0.89, 0.56, 0.41, -0.18, -0.44, -0.31, 
##     -0.25, -0.41, -0.66, -0.56, -0.59, -0.84, -1, -1.02, -0.98, 
##     -1.07, -1.07, -0.75, -0.36, -0.49, -0.66, -0.72, -0.82, -0.8, 
##     -0.62, -0.62, -0.51, -0.43, -0.61, -0.77, -0.72, -0.62, -0.46, 
##     -0.39, -0.18, 0.15, 0.39, 0.56, 0.72, -0.38, -0.82, -0.89, 
##     -0.84, -0.97, -1.2, -1.13, -1.2, -1.28, -1.23, -1.31, -1.18, 
##     -1.1, -1.07, -1.02, -0.95, -1.2, -1.21, -1.15, -1.08, -1.23, 
##     -0.85, -0.79, -0.79, -0.67, -0.46, -0.26, -0.13, -0.08, 0.48, 
##     0.57, 0.64, 0.66, 0.69, 0.87, 0.87, 0.89, 1.02, 1.16, 1.2, 
##     1, 0.97, 1.02, 1.08, 1.02, 1, 0.87, 0.85, 0.9, 1.1, 1.15, 
##     1.23, 1.15, 1.05, 1.07, 1.1, 0.85, 0.75, 0.46, -0.18, -0.25, 
##     -0.26, -0.33, -0.74, -1.28, -1.16, -1.28, -1.41, -1.41, -1.25, 
##     -1.3, -1.21, -0.87, -0.75, -0.87, -0.74, 0.71, 0.67, 0.43, 
##     0.59, 0.36, 0.79, 0.97, 0.82, 1.03, 0.72, 0.69, 0.79, 0.59, 
##     0.38, 0.21, 0.3, 0.13, 0.18, 0.23, 0.11, -0.02, -0.33, -0.72, 
##     -0.66, -0.46, -0.21, -0.03, -0.15, -0.48, -0.79, -0.9, -0.71, 
##     -0.25, -0.21, -0.08, -0.16, -0.54, -0.72, -0.75, -0.66, -0.62, 
##     -0.48, -0.36, -0.8, -1.02, -1.03, 0.13, 0.72, 0.43, -0.26, 
##     -0.16, 0.59, 0.62, 0.61, 0.54, 0.79, 1, 1.38, 1.44, 1.36, 
##     1.28, 0.59, 0.16, 0.08, 0.26, 0.44, 0.21, 0.28, 0.54, 0.36, 
##     0.21, 0.36, 0.52, 0.02, -0.16, -0.39, -1, -1.1, -1.03, -0.52, 
##     -0.18, -0.44, -0.67, -0.97, -1.03, -0.97, -0.72, 0.41, 0.2, 
##     -0.54, -0.85, -1.02, -0.89, -1.02, -0.16, 0.49, 0.61, 0.36, 
##     0.26, 0.2, 0.11, 0.05, 0.11, 0.26, 0.36, 0.49, 0.59, 1.15, 
##     1.26, 1.02, 1.1, 1.08, 1.49, 1.08, -0.05, 0, 0.07, 0.07, 
##     -0.02, -0.08, -0.1, -0.02, 0, -0.05, -0.05, -0.07, -0.07, 
##     -0.03, -0.02, -0.03, -0.05, -0.07, 0, -0.03, -0.08, -0.08, 
##     -0.02, -0.02, -0.02, 0, 0, -0.02, -0.03, -0.05, -0.05, -0.02, 
##     0, -0.02, 0.02, 0.02, 0.02, -0.03, -0.03, -0.03, 0, 0.02, 
##     0.07, 0.08, 0.05, -0.26, -0.3, 0.62, 0.69, 0.67, 1, 1.23, 
##     1.3, 1.1, 1.1, 1.13, 1.03, 1.13, 1.21, 1.28, 0.79, 0.87, 
##     0.85, 0.89, 1.35, 1.43, 0.92, 1.08, 1.39, 1.35, 0.95, 0.33, 
##     0.36, 0.34, 0.21, 0.25, 0.2, 0.07, -0.43, -0.54, -0.59, -0.61, 
##     -0.39, -0.62, -0.79, -1.13, -1.07, -0.64, -0.71, -1.12, -1.07, 
##     -0.84, -0.79, -0.89, -0.8, -0.85, -0.67, -0.18, 0.84, 0.95, 
##     -0.05, -0.21, -0.11, 0.62, 0.85, 0.71, 1.2, 1.54, 1.48, 1.35, 
##     1.1, 1.07, 1.05, 0.98, 1.03, 1.18, 1.21, 1.08, 0.95, 0.72, 
##     0.66, 0.62, 0.54, 0.39, 0.28, 0.02, -0.03, -0.15, -0.34, 
##     -0.46, -0.62, -0.72, -0.64, -0.59, -0.49, -0.51, -0.92, -0.87, 
##     -0.8, -0.61, -0.54, -0.59, -0.67, -0.74, -0.77, 0.82, 0.98, 
##     0.89, 0.75, 0.59, 0.54, 0.39, 0.39, 0.43, 0.23, 0.11, -0.02, 
##     -0.41, -0.44, -0.41, -0.48, -0.49, -0.49, -0.48, -0.39, -0.39, 
##     -0.52, -0.69, -0.97, -1.1, -0.95, -0.74, -0.77, -0.85, -0.97, 
##     -0.92, -0.84, -0.75, -0.71, -0.95, -0.64, 0.1, 0.48, 0.67, 
##     0.62, 0.51, 0.48, 0.52, 0.69, 0.71, 0.79, 0.87, 0.95, 1.31, 
##     1.36, -0.25, -0.28, -0.74, -1.13, -0.98, -0.82, -0.71, -0.64, 
##     -1.03, -1.08, -1.05, -0.95, -0.89, -0.79, -1, 0.23, 0.38, 
##     0.52, 0.64, 1.2, 0.97, 1, 1.15, 1.21, 1.07, 0.92, 0.71, 0.94, 
##     0.69, 0.52, 0.59, 0.82, 0.97, 0.84, 0.77, 0.59, 0.36, 0.31, 
##     0.39, 0.31, -0.1, -0.18, -0.3, -0.59, -0.49, -0.57, -0.72, 
##     -0.71, -0.64, -0.75, -0.79, -0.75, -0.82, -0.84, -0.84, -0.85, 
##     -0.84, -0.67, 0.28, 0.2, 0.25, 0.2, 0.03, -0.08, -0.26, -0.46, 
##     -0.61, -0.74, -0.8, -0.75, -0.64, -0.41, -0.33, -0.34, -0.43, 
##     -0.57, -0.75, -0.82, -0.69, -0.67, -1.1, -1.16, -1.15, -1.15, 
##     -1.12, -0.87, 0.49, 0.51, 0.66, 0.38, 0.44, 0.3, 0.25, 0.36, 
##     0.44, 0.34, 0.34, 0.26, 0.18, 0.21, 0.11, -0.36, -0.41, -0.48, 
##     -0.54, -0.54, -0.69, -0.74, -0.69, -0.85, -0.92, -0.94, -0.94, 
##     -0.94, -1.13, -1.16, -1.13, -1.1, -0.92, -0.84, -0.75, -0.67, 
##     -0.64, -0.57, -0.44, -0.28, -0.08, 0.3, 0.44, 0.57, 0.59, 
##     0.62, 1.16, 1.15, 1.28, 1.28, 1.18, 1.3, 1.48, 1.51, 1.39, 
##     0.82, 0.82, 0.94, 0.97, 0.89, 1.1, 0.59, 0.62, 0.41, 0.51, 
##     0.56, 0.43, 0.39, 0.18, -0.02, -0.21, -0.25, -0.13, 0.02, 
##     -0.08, -0.21, -0.52, -0.72, -0.69, 0.39, -0.02, -0.3, -0.46, 
##     -0.44, -0.16, 0.64, 0.33, 0.39, 0.25, 0.15, 0.07, 0, -0.08, 
##     -0.15, -0.18, -0.08, -0.15, -0.16, -0.13, -0.08, -0.05, -0.07, 
##     -0.13, -0.3, -0.34, -0.21, 0, 0.03, 0.03, 0.02, -0.02, -0.02, 
##     -0.03, 0.02, 0.08, 0.13, 0.1, 0.07, 0.02, 0.05, -0.02, 0.18, 
##     0.43, 0.16, -0.69, -0.77, -0.94, -0.97, -0.97, -0.94, -1.02, 
##     -1.05, -1.05, -0.87, 0.11, 0.49, 0.18, -0.23, -0.41, 0.05, 
##     0.31, 0.43, 0.44, 0.72, 0.48, 0.67, 1.1, 1.36, 1.72, 0.75, 
##     0.71, 0.77, 1.23, 1.16, 0.39, 0, -0.49, -1.03, -0.84, -0.64, 
##     -0.51, -0.39, -0.98, -1.44, -1.18, -1.07, -1.41, -1.03, -0.84, 
##     -0.64, -0.02, 0.26, 0.26, 0.25, 0.16, 0.05, 0.02, 0.39, 0.31, 
##     0.72, -0.89, -1.13, -1.25, -1, -1, -1.23, -0.95, -0.77, -0.46, 
##     0.15, 0.1, 0.05, 0.07, -0.03, 0, 0.13, 0.25, 0.44, 0.49, 
##     1.18, 1.2, 1.2, 1.18, 1.03, 0.77, 1.12, 1.13, 0.71, 0.39, 
##     0.18, 0.3, 0.28, 0.23, -0.49, -0.28, -0.33, -0.48, -0.69, 
##     -0.84, -0.95, -1.05, -0.07, -1.16, -1.9, -1.02, -0.07, 0.18, 
##     0.16, -0.2, -0.51, -0.46, -0.25, 0.02, 0.18, 0.33, 0.49, 
##     0.54, 0.62, 0.67, 0.87, 1.57, 1.48, 1.54, 0.82, 0.89, 0.71, 
##     0.8, 0.79, 0.52, 0.48, 0.64, 0.62, 0.59, 0.25, -0.61, -0.62, 
##     -0.69, -0.46, -0.61, -0.84, -1.08, -1.16, -1.48, -1.49, -1.39, 
##     -1.35, 0.71, 0.71, 0.28, -0.02, -0.08, 0.54, 1.1, 1.38, 1.92, 
##     1.44, 1.49, 1.46, 1.05, 0.8, 0.69, 0.94, 1.03, 1.1, 1.03, 
##     0.94, 0.33, 0.13, -0.18, -0.67, -0.75, -0.64, -0.49, -0.75, 
##     -0.85, 1.1, 1.18, 1.05, 0.13, 0, -0.36, -0.62, -0.61, -0.61, 
##     -1.07, -1.23, -1.18, -1.56, -0.66, -0.82, -0.28, 0.26, 0.41, 
##     0.62, 0.66, 0.97, 1.39, 1.53, 1.74, 1.12, 0.94, 1.67, 1.46, 
##     1.56, 1.1, 1.1, 0.46, 0.36, 0.07, -0.07, 0, 0, -0.3, -0.13, 
##     -0.62, -0.69, -1.05, -1.25, -1.23, -1.28, -1.35, 0.16, 0.66, 
##     0.33, -0.11, 0.15, 0.54, 0.62, 0.57, 1.18, 1.2, 1.15, 1.38, 
##     1.49, 0.67, 0.44, 0.85, 1.16, 1.41, 1.12, 0.72, -0.03, 0.03, 
##     0.21, 0.41, 0.67, 0.51, -0.08, -0.75, -1.08, -0.74, -0.46, 
##     -0.39, -0.51, -0.75, -1, -0.98, -0.92, -0.94, -1.02, -1.18, 
##     -1.35, -1.31, -1.25, -0.9, -0.79, -0.16, 0.11, 0.34, 0.21, 
##     0.18, 0.33, 0.41, 0.85, 1.44, 2.62, 2.03, 0.3, 0.3, 0.69, 
##     0.72, 0.92, 1.25, 1.51, 0.87, 0.13, -0.2, 0.13, 1.92, 1.56, 
##     1.2, 1.02, 0.74, 0.62, 0.59, 0.74, 0.94, 0.94, 0.9, 0.02, 
##     -0.02, 0.13, 0.84, 0.72, 0.51, 0.16, 0.05, -0.02, -0.05, 
##     -0.07, -0.07, -0.1, -0.15, -0.18, -0.15, -0.15, 0.07, 0.07, 
##     0.03, 0.59, 0.61, 0.64, 0.64, 0.62, 0.54, 0.51, 0.48, 0.49, 
##     0.54, 0.75, 0.77, 0.77, 0.8, 0.92, 1.1, 1.23, 0.75, 0.95, 
##     0.46, 0.43, 0.39, 0.39, 0.38, 0.38, 0.39, 0.49, 0.54, 0.56, 
##     0.51, 0.41, 0.44, 0.44, 0.48, 0.51, 0.52, 0.57, 0.62, 0.57, 
##     0.54, 0.59, 0.61, 0.48, 0.44, 0.39, 0.38, 0.39, 0.43, 0.49, 
##     0.52, 0.59, 0.61, 0.61, 0.62, 0.64, 0.82, 0.87, 0.98, 1.08, 
##     1.15, 1.16, 1.1, 1, 0.89, 0.67, 0.48, 0.36, 0.31, 0.34, 0.39, 
##     0.43, 0.51, 0.48, 0.21, -0.08, -0.23, -0.44, -0.48, -0.43, 
##     -0.46, -0.49, -1.05, -0.74, -0.48, -0.44, -1.05, -0.94, -0.51, 
##     -0.3, 0.08, 0.21, 0.08, 0.08, 0.34, 0.48, 0.51, 0.56, 0.59, 
##     0.54, 0.49, 0.49, 0.54, 0.59, 0.59, 0.46, 0.51, 0.51, 0.49, 
##     0.66, 0.95, 1.08, 1.25, 1.41, 1.72, 1.8, 2, 1.79, 1.54, 1.43, 
##     0.95, 0.9, 1.12, 1.23, 1.21, 1.08, 0.87, 0.94, 0.97, 0.97, 
##     0.89, 0.8, 0.67, 0.64, 0.82, 0.95, 0.89, 0.79, 0.75, 0.71, 
##     0.62, 0.51, 0.28, 0.36, 0.36, 0.15, 0.3, 0.38, 0.34, 0.3, 
##     0.26, 0.3, 0.34, 0.38, 0.56, 0.56, 0.57, 0.57, 0.49, 0.51, 
##     0.52, 0.56, 0.61, 0.84, 1.08, 1.15, 1.3, 1.51, 1.49, 1.59, 
##     1.72, 1.85, 0.69, 0.74, 0.74, 0.74, 0.3, 0.28, -0.39, -0.56, 
##     -0.57, -0.74, -1.02, -0.74, -0.38, -0.46, -0.61, -0.84, -0.89, 
##     -0.66, -0.54, -0.46, -0.16, -0.03, 0.02, 0.05, 0.07, 0.03, 
##     -0.03, -0.03, 0.36, 0.46, 0.51, 0.49, 0.48, 0.46, 0.48, 0.54, 
##     0.69, 0.77, 0.85, 1, 1.08, 1.2, 1.26, 1.35, 1.36, 1.41, 1.77, 
##     1.79, 1.79, 2.31, 1.69, 1.33, 0.92, 1.23, 1.69, 1.94, 2.12, 
##     2.35, 2.12, 1.57, 0.21, -0.49, -0.48, -0.33, -0.08, 0.2, 
##     0.39, 0.56, 0.87, 0.98, 0.57, 0.48, 0.36, 0.3, 0.28, 0.26, 
##     0.25, 0.02, 0.05, 0.07, 0.03, 0.03, 0.07, -0.02, -0.16, -0.08, 
##     0, -0.15, -0.89, -0.61, -0.54, -0.44, -0.43, -0.48, 1.12, 
##     1.21, 1.44, 1.44, 1.41, 1.41, 1.43, 1.72, 1.28, 0.94, 0.84, 
##     0.95, 1.12, 1.25, 1.41, 1.38, 1.26, 1.18, 0.89, 0.67, 0.61, 
##     0.66, 0.71, 0.67, 0.69, 0.57, 0.49, 0.44, 0.57, 0.43, 0.41, 
##     0.31, 0.33, 0.39, 0.43, 0.71, 0.54, -0.08, 0.16, 0.33, 0.39, 
##     0.44, 0.44, 0.41, 0.39, 0.38, 0.34, 0.43, 0.51, 0.51, 0.51, 
##     0.52, 0.56, 0.59, 0.74, 0.87, 1.05, 1.1, 1.33, 1.43, 1.44, 
##     1.57, 1.62, 1.56, 1.43, 1.33, 1.13, 0.92, 0.84, 1.13, 1.26, 
##     1.31, 1.3, 1.13, 0.95, 0.92, 0.92, 0.8, 0.69, 0.64, 0.74, 
##     0.77, 0.71, 0.71, 0.69, 0.61, 0.46, 0.59, 0.64, 0.64, 0.62, 
##     0.57, 0.48, 0.48, 0.36, 0.3, 0.13, 0.1, 0.05, 0.02, 0.03, 
##     -0.03, -0.15, -0.25, -0.21, -0.31, -0.85, -0.77, -1.2, -1.08, 
##     -0.98, -0.77, -0.51, 0.38, 0.3, 0.21, 0.16, 0.15, 0.18, 0.25, 
##     0.34, 0.61, 0.57, 0.51, 0.43, 0.43, 0.54, 0.61, 0.75, 0.74, 
##     0.8, 1.12, 1.35, 1.53, 1.57, 1.28, 1.77, 2.12, 1.77, 1.48, 
##     1.31, 1.15, 0.84, 0.71, 0.85, 1.35, 1.53, 1.59, 1.54, 0.9, 
##     0.79, 0.67, 0.59, 0.82, 1, 1, 1.02, 1.05, 1.02, 0.74, 0.67, 
##     0.59, 0.49, 0.39, 0.3, 0.34, 0.46, 0.57, 0.54, 0.46, 0.41, 
##     0.44, 0.46, 0.34, 0.28, 0.25, 0.21, 0.1, -0.05, -0.13, -0.16, 
##     -0.13, 0.07, 0.1, -0.21, -0.64, -1.05, -1.1, -1.12, -1.07, 
##     -0.87, -0.64, -0.28, -0.23, -0.18, -0.18, -0.16, -0.05, 0.28, 
##     0.33, 0.44, 0.46, 0.43, 0.41, 0.41, 0.41, 0.43, 0.38, 0.34, 
##     0.33, 0.33, 0.34, 0.49, 0.48, 0.71, 1, 1.48, 1.41, 1.31, 
##     1.23, 1.07, 0.95, 1, 1.3, 1.23, 0.82, 0.66, 1.08, 0.82, 0.69, 
##     0.75, 0.92, 1.07, 1.13, 1.07, 0.94, 0.89, 0.92, 0.94, 0.66, 
##     0.69, 0.72, 0.71, 0.64, 0.57, 0.62, 0.62, 0.25, 0.11, 0.11, 
##     0.11, 0.05, 0.02, -0.05, 0.02, -0.07, -0.18, -0.13, -0.18, 
##     -0.21, -0.71, -0.82, -0.94, -0.98, -1, -0.92, -0.56, -0.33, 
##     -0.28, -0.28, -0.23, -0.25, -0.51, -0.59, -0.72, -0.69, -0.23, 
##     -0.05, 0.1, 0.08, 0.11, 0.25, 0.43, 0.3, 0.49, 0.54, 0.67, 
##     0.71, 0.9, 1.03, 1.92, 1.9, 1.62, 1.23, 0.95, 0.79, 0.9, 
##     1.26, 1.23, 1.23, 1.03, 0.94, 0.85, 0.77, 0.79, 0.77, 0.74, 
##     0.72, 0.71, 0.75, 0.79, 0.82, 0.85, 0.87, 0.87, 0.82, 0.74, 
##     0.66, 0.57, 0.54, 0.57, 0.64, 0.23, -0.13, -0.23, -0.21, 
##     -0.3, -0.46, -0.79, -0.38, -0.56, -0.61, -0.64, -0.51, -0.16, 
##     -0.11, -0.13, 0.07, 0.08, 1.13, 1.18, 1.35, 1.31, 1.31, 1.35, 
##     1.02, 0.89, 0.89, 1, 1.08, 1.08, 1.1, 0.92, 0.84, 0.66, 0.61, 
##     0.49, 0.46, 0.46, 0.48, 0.51, 0.52, 0.51, 0.46, 0.54, 0.59, 
##     0.71, 0.74, 0.72, 0.74, 0.79, 0.72, 0.74, 0.84, 0.85, 0.8, 
##     0.69, 0.79, 0.72, 0.62, 0.59, 0.97, 0.39, 0.46, 0.52, 0.59, 
##     0.75, 0.64, 0.44, 0.48, 0.56, 0.61, 0.64, 0.57, 0.52, 0.51, 
##     0.48, 0.41, 0.36, 0.23, 0.13, 0.1, 0.03, -0.05, 0.02, 0.3, 
##     0.28, 0.16, -0.23, -0.07, 0.1, 0.59, 0.46, 0.62, 1.02, 0.59, 
##     -0.05, -0.57, -0.74, -0.85, -0.52, 0.33, 0.49, 0.54, 0.41, 
##     0.02, -0.15, -0.31, -0.07, 0.02, 0.05, 0.02, -0.08, -0.13, 
##     -0.43, -0.57, -0.38, -0.2, -0.23, -0.28, -0.21, -0.21, -0.28, 
##     -0.34, -0.38, -0.25, -0.13, -0.05, 0.05, 0.31, 0.49, 0.3, 
##     -0.03, -0.39, -0.3, -0.1, 0.16, 0.31, 0.36, 0.41, 0.44, 0.61, 
##     0.87, 0.77, 0.3, 0.33, 0.41, 0.31, 0.21, 0.16, 0.15, 0.13, 
##     0.21, 0.74, 0.46, 0.3, -0.03, 0, -0.33, -0.46, -0.3, -0.13, 
##     -0.11, -0.15, -0.18, -0.28, -0.46, -0.62, -1.2, -1.26, -1.12, 
##     -0.41, 0.21, 1.13, 0.85, -0.59, -0.84, -0.94, -0.67, -0.39, 
##     -0.23, -0.08, -0.07, -0.31, -0.62, -0.67, -0.61, -0.66, -0.77, 
##     -0.79, -0.62, -0.39, -0.11, 0.31, 0.49, 0.49, 0.34, 0.28, 
##     0.23, 0.08, 0, -0.05, -0.05, -0.16, -0.15, -0.26, -0.23, 
##     -0.26, -0.25, -0.07, 0.13, 0.26, 0.21, 0.15, 0.16, 0.08, 
##     0.51, 0.56, 0.69, 0.23, 0.21, -0.02, -0.02, 0.1, 0.13, 0.51, 
##     0.49, 0.39, 0.28, 0.16, 0.61, 0.75, 0.77, 0.71, 0.64, 0.49, 
##     0.43, 0.25, -0.02, 0.16, 0.07, 0.02, 0.02, 0, -0.02, -0.02, 
##     -0.05, -0.08, -0.08, -0.11, -0.1, -0.08, -0.03, -0.03, -0.03, 
##     -0.03, -0.03, -0.05, -0.1, -0.44, -0.52, -0.61, -0.51, -0.59, 
##     -0.39, -0.36, -0.38, -0.39, -0.43, -0.48, -0.49, -0.48, -0.41, 
##     -0.13, 0.02, 0.23, 0.36, 0.41, 0.38, 0.21, 0.11, -0.02, -0.03, 
##     -0.02, 0.28, 0.23, 0.1, -0.25, -0.2, -0.11, -0.11, 0.08, 
##     -0.18, -0.1, 0.05, -0.02, 0.15, 0.21, -0.11, 0.54, 0.41, 
##     0.28, 0.15, 0.2, 0.08, -0.3, -0.49, 0.3, -0.03, -0.52, -0.72, 
##     -0.84, -0.07, -0.11, -0.25, -0.28, -0.1, 0.26, 0.18, 0.1, 
##     -0.16, -0.18, 0.11, -0.02, -0.11, -0.16, -0.11, 0.25, 0.08, 
##     0.03, -0.03, -0.21, 0.25, 0.56, 0.8, 1.08, 1.18, 0.82, 0.52, 
##     0.08, 0.03, 0.34, 0.39, 0.46, 0.46, 0.31, 0.33, -0.11, -0.15, 
##     -0.05, 0.07, 0.16, 0.26, 0.25, 0.16, 0.11, 0.07, 0.02, -0.03, 
##     -0.15, 0.2, 0.61, 0.48, -0.3, -0.74, -1.15, -1.08, -0.08, 
##     0.07, -0.02, -0.33, -0.57, -0.57, -0.69, -0.71, -0.74, -0.72, 
##     -0.46, -0.34, -0.25, -0.2, -0.2, -0.15, -0.15, -0.1, -0.13, 
##     -0.11, 0.15, 0.38, 0.34, 0.13, -0.1, -0.21, -0.15, 0.03, 
##     0.13, 0.21, 0.26, 0.23, 0.23, 0.33, 0.51, 0.61, 0.74, 0.64, 
##     0.66, 0.79, 0.95, 1.02, 0.85, 0.85, 0.62, 0.39, 0.2, 0.02, 
##     -0.2, -0.38, -0.43, 0.11, 0.41, 0.43, 0.36, 0.25, 0.39, 0.25, 
##     0.16, 0.1, 0.07, 0, -0.11, -0.28, -0.66, -0.84, -0.92, -0.79, 
##     -0.64, -0.48, -0.18, -0.16, -0.87, -1.41, -1.35, -1.2, -0.95, 
##     -0.85, -0.54, -0.36, -0.21, -0.13, -0.16, -0.33, -0.28, -0.28, 
##     -0.26, -0.28, -0.28, -0.28, -0.25, -0.23, -0.3, -0.26, -0.2, 
##     -0.13, 0.15, 0.18, 0.2, 0.08, 0.05, 0.1, 0.03, 0.05, 0.26, 
##     0.18, 0.18, 0.23, 0.25, 0.15, -0.02, 0.13, 0.3, 0.67, 0.52, 
##     0.71, 0.82, 0.25, 0.03, 0.18, 0.38, 0.38, 0.36, 0.43, 0.52, 
##     0.57, 0.16, -0.41, 0.08, 0.34, 0.33, -0.02, -0.15, -0.26, 
##     -0.25, -0.28, -0.26, -0.26, -0.26, -0.26, -0.38, -0.44, -0.44, 
##     -0.38, -0.16, -0.03, -0.02, 0.02, 0.03, 0.1, 0.15, 0.05, 
##     -0.03, 0.02, 0.1, 0.21, 0.33, 0.38, 0.38, 0.39, 0.44, 0.39, 
##     0.43, 0.49, 0.51, 0.44, 0.21, 0.59, 0.82, 1.3, 0.46, 0.28, 
##     0.36, 1.02, 0.95, -0.02, -0.38, -0.98, -1, -0.75, -0.43, 
##     -0.2, -0.07, -0.07, 0.02, 0.1, 0.21, 0.34, 0.3, 0.26, 0.21, 
##     0.15, 0.08, -0.02, -0.1, -0.75, 0.1, -0.33, -0.16, -0.08, 
##     -0.02, 0.08, 0.15, -0.52, 0.11, 0.57, 0.61, 0.03, -0.02, 
##     -0.07, 0.02, 0.07, 0.64, 0.66, 0.62, 0.61, 0.61, 0.71, 0.77, 
##     0.77, 0.8, 0.82, 0.66, 0.67, 0.56, 0.67, 0.92, 1.36, 1.31, 
##     1.07, 0.18, 0.69, 0.54, 0.02, 0.03, 0.05, -0.48, -0.05, 0.21, 
##     0.11, 0.08, 0.13, 0.11, 0.02, -0.07, -0.15, -0.25, -0.28, 
##     -0.43, -0.57, -0.66, -0.67, -0.62, -0.49, -0.34, -0.36, -0.44, 
##     -0.56, -0.62, -0.64, -0.72, -0.89, -1.08, -1.13, -0.54, -0.21, 
##     -0.25, -0.28, -0.28, -0.28, -0.33, -0.43, -0.07, 0.15, 0.03, 
##     -0.03, -0.02, 0.26, 0.39, 0.3, 0.2, 0.11, 0.05, 0, 0.15, 
##     0.2, 0.25, 0.43, 0.57, 0.69, 0.75, 0.82, 0.72, 0.38, -0.07, 
##     -0.05, 0.23, 1.26, -0.15, -0.44, -0.23, 0.11, 0.48, 0.2, 
##     -0.23, -0.21, -0.16, -0.1, 0.05, 0.44, 0.72, 0.66, 0.57, 
##     0.34, 0.2, 0, -0.18, -0.25, -0.28, -0.49, -0.77, -0.87, -0.25, 
##     -0.28, -0.67, -0.87, -1.13, -0.26, 0.25, 0.25, -0.15, -0.36, 
##     -0.52, -0.97, -0.95, -0.84, 0.07, -0.03, -0.23, -0.36, -0.18, 
##     0, 0.1, 0.11, 0.15, -0.05, -0.03, 0.13, 0.21, 0.25, 0.31, 
##     0.31, 0.33, 0.18, 0.21, 0.39, 0.61, 0.8, 0.74, 0.66, 0.41, 
##     0.72, 0.72, 0.74, 0.46, 0.36, 0.26, 0.26, 0.03, -0.38, -0.31, 
##     0.26, 0.69, -0.2, -0.16, 0.3, 0.74, 0.52, 0.28, 0.36, 0.31, 
##     0.3, 0.36, 0.48, 0.48, 0.48, 0.48, 1.05, 1.1, 1.15, 1.23, 
##     1.2, 1.15, 1.02, 1.16, 1.44, 1.13, 0.94, 0.85, 0.87, 0.92, 
##     0.98, 1.05, 0.98, 0.87, 0.61, 0.57, 0.54, 0.49, 0.18, 0.18, 
##     0.54, 0.46, 0.39, 0.48, 0.54, 0.41, 0.43, 0.34, 0.18, -0.11, 
##     -0.16, -0.18, -0.33, -0.31, -0.26, -0.11, -0.43, -0.54, -0.41, 
##     -0.2, 0.15, 0.11, 0.02, -0.03, 0.03, 0.08, 0.25, 0.46, 0.56, 
##     0.61, 0.62, 0.54, 0.46, 0.43, 0.25, 0.2, 0.3, 0.36, 0.39, 
##     0.41, 0.46, 0.56, 0.57, 0.56, 0.43, 0.43, 0.51, 0.52, 0.49, 
##     0.54, -0.18, -0.89, -1.23, -1.57, -1.16, -0.82, -0.72, -0.66, 
##     -0.43, -0.52, -0.66, -0.71, -0.61, -0.43, -0.21, -0.05, 0.02, 
##     -0.08, -0.39, -0.49, -0.48, -0.13, 0.13, 0.3, 0.28, 0.23, 
##     0.16, 0.11, -0.08, -0.15, -0.2, -0.23, -0.31, -0.28, -0.33, 
##     -0.31, -0.2, -0.16, -0.26, -0.46, -0.72, -0.98, -1.43, -1.57, 
##     -0.77, -0.21, -0.07, 0.28, 0.33, -0.46, -0.74, -0.98, -1, 
##     -0.9, -0.3, -0.57, -1.12, -0.82, -0.62, -0.48, -0.34, 0.1, 
##     0.64, 0.8, 0.84, -0.36, -0.3, -0.13, -0.02, 0.15, 0.11, 0, 
##     -0.13, -0.51, -0.64, -0.8, -0.62, 0.07, 0.28, 0.34, -0.23, 
##     -0.23, -0.23, -0.16, -0.11, -0.08, 0.03, -0.16, 0, 0.1, 0.1, 
##     -0.11, -0.38, -0.33, -0.18, -0.05, -0.25, -0.3, -0.26, -0.07, 
##     0.1, 0.28, 0.38, -0.38, -0.21, 0.07, 0.36, 0.66, -0.1, -0.02, 
##     0.03, 0.05, 0.03, -0.03, -0.02, 0.05, 0, 0.16, 0.2, 0.07, 
##     -0.08, -0.05, 0, -0.03, -0.07, -0.07, -0.05, 0.03, 0.43, 
##     0.3, -0.48, -0.92, -1.02, -1.39, -1.9, -1.74, -0.9, -0.97, 
##     -1.03, -1.08, -1.07, -1.12, -1.13, -0.9, -0.94, -0.98, -0.95, 
##     -0.84, -0.59, 0.02, 0.26, 0.36, 0.07, 0.03, 0.02, 0.57, 0.8, 
##     -1.25, -1.28, -1.26, -1.23, -1.15, -0.84, -0.71, -0.41, -0.25, 
##     0.49, 0.51, 0.34, -0.21, -0.21, -0.15, 0, 0.05, 0.72, 0.98, 
##     0.51, 0.16, 0.52, 1.2, 0.25, -0.18, -0.39, 0.07, 0.33, 1.25, 
##     1.23, 0.95, 0.72, 0.48, 0.79, 1.18, 1.21, 1.16, 0.8, 0.67, 
##     0.25, 0.26, 0.41, 0.39, 0.3, -0.23, -0.38, -0.54, -0.61, 
##     -0.48, -0.46, 0, -0.02, 0.03, 0.03, 0, -0.03, -0.03, -0.03, 
##     -0.03, -0.02, 0.02, 0.02, 0, -0.03, -0.05, -0.03, -0.02, 
##     -0.02, 0, 0.03, -0.02, 0, 0.02, 0.07, 0.05, 0.02, -0.02, 
##     0, 0.05, 0.07, -0.72, -0.66, -0.57, -0.46, -0.54, -0.57, 
##     -0.36, -0.48, -0.48, -0.38, -0.16, 0.26, 0.44, 0.48, 0.54, 
##     0.57, 0.54, 0.56, 0.9, 1.1, 1, 1.33, 1.35, 1.3, 1.3, 1.3, 
##     0.9, 0.92, 1.08, 1.16, 1.2, 1.23, 1.25, 1.31, 1.28, 1.28, 
##     1.26, 1.16, 1.13, 1.08, 1.15, 1.25, 1.39, 1.53, 1.71, 1.59, 
##     1.48, 1.05, 0.87, 0.66, 0.02, -0.33, -0.49, -0.39, 0.51, 
##     0.56, 0.74, 0.75, 0.75, 0.77, 0.9, 1.15, 1.18, 1.18, 1.2, 
##     1.18, 1.3, 1.36, 1.38, 1.36, 1.3, 1.21, 1.16, 1.16, 1.08, 
##     0.82, 0.38, 0.02, -0.28, -0.23, -0.26, -0.36, -0.66, -0.75, 
##     -0.66, -0.71, -0.97, -0.79, -0.94, -0.87, -0.8, -0.62, -0.39, 
##     -0.28, -0.33, -0.54, -0.64, -0.64, -0.61, -0.62, -0.57, -0.56, 
##     0.33, 0.28, 0.28, 0.3, 0.33, 0.3, 0.28, 0.28, 0.26, 0.31, 
##     0.3, 0.33, 0.31, 0.33, 0.33, 0.33, 0.36, 0.33, 0.34, 0.34, 
##     0.21, 0.3, 0.34, 0.34, 0.25, 0.23, 0.23, 0.23, 0.3, 0.38, 
##     0.39, 0.39, 0.43, 0.34, 0.34, 0.31, 0.31, 0.28, 0.26, 0.33, 
##     0.33, 2.1, 2, 1.84, 1.51, 1.12, 0.97, 0.97, 0.87, 0.69, 0.57, 
##     0.85, 1.1, 1.12, 1.15, 1.41, 1.57, 1.44, 0.59, 0.16, -0.2, 
##     -0.23, -0.36, -0.11, -0.2, -0.33, -0.34, -0.48, -0.77, -0.74, 
##     1.48, 1.05, 0.66, 0.23, 0.25, 0.39, 0.48, 0.26, 0.3, -0.1, 
##     -0.15, -0.2, -0.31, -0.31, -0.31, -0.82, -0.95, -1.05, 1.05, 
##     1, 1.02, 1.02, 0.89, 1.05, 0.84, 0.54, 0.3, 0.66, -0.11, 
##     -0.15, -0.16, -0.16, 0.2, 0.36, 0.39, 0.66, 0.79, -0.69, 
##     -0.94, -1.16, -0.89, -0.8, -0.74, -0.74, -0.77, -0.66, -0.39, 
##     -0.26, 0.05, 0.13, 0.18, 0.18, 0.23, 0.34, 0.44, -0.79, -0.82, 
##     -0.92, -1.12, -1.31, -1.3, -1.1, -0.62, 0.54, 0.97, 1, 0.72, 
##     0.52, 0.46, 0.44, 0.43, 0.48, 0.67, 0.94, 1.15, 1.31, 1.57, 
##     1.18, 0.9, 0.87, 0.51, 0.49, 0.36, 0.44, 0.64, 0.85, 1.28, 
##     1.3, 1.3, 1.35, 1.41, 1.39, 1.33, 1.08, 0.72, 0.8, 0.9, 0.82, 
##     0.69, 0.77, 0.77, 0.84, 0.9, 0.69, 0.54, 0.54, 0.8, 0.79, 
##     0.57, 0.59, 0.67, 0.67, 0.66, 0.82, 0.9, 0.66, 0.75, 0.84, 
##     0.8, 0.69, 0.31, 0.15, -0.23, -0.46, -0.41, -0.64, -0.66, 
##     -0.69, -0.1, 0, 0.39, 0.39, 0.21, 0.18, 0.3, 0.54, 0.9, 1.1, 
##     1.41, 1.43, 1.31, 1.08, 1.18, 1.12, 0.92, 0.72, 0.52, 0.44, 
##     0.56, 0.33, 0.44, 0.56, 0.74, 0.9, 0.92, 1.08, 1.15, 1.23, 
##     1.3, 1.33, 1.28, 1.21, 1.13, 0.98, 0.85, 0.66, 0.69, 0.72, 
##     1.03, 0.89, 0.98, 1.1, 0.69, -0.03, -0.54, -0.59, -0.66, 
##     -0.75, -0.72, -0.69, -0.69, -1, -1.21, -1.26, -1.31, -1.36, 
##     -1.28, -1.02, -0.59, -0.61, -0.67, -0.87, -1.18, -1.07, -0.97, 
##     -0.07, 0.64, 0.46, 0.34, -0.34, -0.44, -0.69, -0.77, -0.74, 
##     -0.71, -0.49, -0.97, -1.08, -0.98, -0.92, -1.03, -1.2, -1.28, 
##     -1.33, -1.13, -0.72, -0.44, -0.49, -0.61, -0.67, -0.74, -0.72, 
##     -0.23, 0.28, 0.51, 0.38, 0.11, -0.18, -0.11, 0.3, 0.62, 0.61, 
##     0.1, -0.25, -0.02, 0.15, 0.23, 0.1, -0.07, -0.11, -0.08, 
##     -0.11, -0.13, -0.15, -0.1, -0.08, -0.07, -0.16, -0.16, 0.02, 
##     0.69, 0.82, 0.74, 0.74, 0.59, 0.59, 0.69, 0.54, 0.2, 0.23, 
##     0.3, 0.26, 0.07, 0.02, -0.1, -0.18, -0.21, -0.31, -0.34, 
##     -0.36, -0.59, -0.67, -0.87, -0.98, -1.23, -1.38, -1.97, -1.95, 
##     -1.76, -1.74, -1.8, -2.26, -2.56, -2.58, -1.69, -1.33, 0.16, 
##     0.38, 0.54, 0.69, 1.31, 2, 2.08, 2.9, 3.35, 3.1, 2.99, 1.07, 
##     0.94, 1.08, 1.1, 0.95, 0.92, 1.05, 1.07, 1.02, 1.13, 0.62, 
##     0.36, 0.23, 0.07, -0.08, -0.21, -0.23, -0.21, -0.25, -0.3, 
##     -0.48, -0.72, -0.98, -1.21, -1.08, -0.8, -1.12, -1.31, -1.18, 
##     -1.12, -1.12, -1.07, -1.48, -1.8, -1.72, -1.31, -0.11, 0.34, 
##     0.05, 0.13, 0.43, 0.8, 1.26, 1.59, 1.67, 2.08, 2.03, 1.92, 
##     1.94, 1.36, 1.26, 1.12, 1.05, 0.85, 0.64, 0.61, 0.61, 0.57, 
##     0.44, 0.72, 0.72, 0.72, 0.8, 0.57, 0.49, 0.23, 0.18, 0.18, 
##     -0.02, -0.23, -0.31, -0.3, -0.25, -0.23, -0.41, -0.31, -0.3, 
##     -0.31, -0.33, -0.3, -0.16, -0.11, -0.44, -0.51, -0.51, 0.16, 
##     0.1, -0.39, -0.16, 0.02, 0.11, 0.03, -0.07, -0.08, -0.13, 
##     0.05, 0.11, 0.11, 0.13, 0.13, 0.13, 0.08, 0.05, -0.15, -0.1, 
##     -0.16, 0.13, 0.51, 0.25, 0.03, -0.15, -0.26, -0.25, -0.31, 
##     -0.34, -0.33, -0.3, -0.39, -0.38, -0.3, 0.08, 0.07, 0.13, 
##     0.15, 0.23, 0.28, 0.38, 0.43, 0.31, -0.08, -0.08, -0.05, 
##     -0.02, 0.3, 0.64, 0.48, 0.31, 0.44, 0.25, 0.16, 0.13, 0.11, 
##     0.05, 0.13, 0.11, -0.02, -0.03, 0.03, 0.05, 0.03, 0.07, 0.13, 
##     0.23, 0.16, 0, -0.1, -0.16, -0.07, 0.08, 0.3, 0.25, 0.11, 
##     -0.08, -0.61, -0.56, -0.51, -0.39, -0.16, -0.21, -0.33, -0.18, 
##     -0.44, -0.51, -0.31, 0.28, 0.05, 0.07, 0.07, 0.02, -0.05, 
##     0.18, 0.2, 0.39, 0.41, 0.3, 0.23, 0.23, 0.21, 0.08, -0.02, 
##     -0.28, -0.41, 0.13, 0.07, 0.1, -0.3, -0.23, -0.31, -0.43, 
##     -0.07, -0.11, -0.1, -0.21, -0.25, -0.08, -0.23, -0.46, -0.51, 
##     -0.39, -0.3, -0.23, -0.36, -0.38, -0.52, -0.52, -0.52, -0.44, 
##     -0.34, -0.26, -0.16, -0.13, -0.21, 0.1, 0.15, 0.21, 0.21, 
##     0.16, 0.08, 0, -0.03, 0.03, 0.46, 0.23, 0.31, 0.33, 0.41, 
##     0.52, 0.44, -0.1, -0.15, -0.03, 0.23, 0.3, 0.41, 0.02, -0.08, 
##     -0.11, -0.13, 0, -0.02, -0.16, -0.34, -0.41, -0.44, -0.43, 
##     -0.33, -0.36, -0.48, -0.46, -0.31, -0.38, -0.05, -0.05, 0.03, 
##     0.13, 0.31, 0.36, 0.13, 0.11, 0.18, 0.07, 0, 0.13, 0.18, 
##     0.15, 0.38, 0.23, 0.11, 0.05, 0.03, -0.03, -0.02, 0, 0.21, 
##     0.26, 0.13, -0.07, -0.1, -0.16, -0.13, -0.08, -0.49, -0.59, 
##     -0.56, -0.31, -0.25, -0.46, -0.33, -0.34, -0.36, -0.49, -0.3, 
##     0.02, 0.03, 0.03, 0.05, 0, 0.05, 0.1, 0.28, 0.26, -0.15, 
##     0.1, 0.28, 0.31, 0.26, 0.07, -0.05, -0.05, 0.39, 0.41, 0.34, 
##     0.16, 0.05, 0.11, 0.2, -0.03, 0.05, 0.13, 0.18, 0.2, 0.11, 
##     -0.07, -0.11, 0, 1.54, 1.38, 1.15, 1.03, 1.02, 1.1, 1.2, 
##     1.26, 1.2, 1.07, 0.38, -0.21, -0.3, -0.48, -0.56, -0.61, 
##     -0.89, -1.05, -1.16, -1.1, -1.02, -0.97, -1.05, -1.05, -0.79, 
##     -0.75, -0.72, -0.69, -0.71, -0.71, -0.69, -0.75, -0.69, -0.82, 
##     -0.87, -0.75, -0.25, -0.2, -0.23, -0.26, -0.08, 0.02, 0.02, 
##     0, 0.2, 0.3, 0.46, 0.61, 0.9, 1.16, 1.35, 1.3, 1.2, 1.3, 
##     1.21, 1.23, 1.28, 1.21, 1.12, 1.12, 1.28, 1.43, 1.46, 1.48, 
##     1.51, 1.53, 1.54, 1.56, 1.48, 1.44, 0.38, 0.1, -0.23, -1, 
##     -1.07, -1.38, -1.28, -1.31, -1.48, -1.23, -1.1, -1.13, -1.3, 
##     -1.18, -0.97, -0.92, -1.05, -1.03, -1.03, -0.69, -0.59, -0.66, 
##     -0.75, -0.85, -0.52, -0.15, -0.07, -0.05, 0.07, -0.08, -0.15, 
##     -0.16, 0.38, 0.43, 0.48, 0.54, 0.61, 0.67, 0.59, 0.44, 0.2, 
##     0.13, 0.13, 0.34, 0.38, 0.39, 0.48, 0.59, 0.67, 0.79, 0.87, 
##     1.16, 0.69, 0.49, 0.41, 0.38, 0.43, 0.39, 0.41, 0.48, 0.51, 
##     0.3, 0.2, 0.13, 0.03, 0, 0.05, 0, -0.07, -0.08, -0.07, -0.02, 
##     -0.03, -0.08, -0.07, -0.13, 0.15, 0.16, 0.13, -0.02, -0.13, 
##     -0.08, -0.02, -0.05, -0.02, 0.2, 0.16, 0.15, 0, -0.11, -0.18, 
##     -0.13, -0.03, 0.08, 0.28, 0.52, 0.52, 0.56, 0.69, 0.72, 0.8, 
##     0.85, 0.85, 0.72, 0.74, 0.69, 0.71, 0.75, 0.69, 0.31, 0.33, 
##     0.38, 0.38, 0.13, 0.16, 0.39, 0.56, 0.64, 0.64, 0.57, 0.57, 
##     0.56, -0.3, -0.41, -0.13, 0.03, 0.11, -0.02, -0.36, -0.46, 
##     -0.31, 0, 0.46, 0.54, 0.75, 0.71, 0.66, 0.62, 0.62, 0.66, 
##     0.62, 0.54, 0.52, 0.41, 0.49, 0.38, 0.31, 0.23, 0.1, 0.18, 
##     0.56, 0.69, 0.51, 0.43, 0.23, -0.03, 0.03, 0.18, 0.07, -0.1, 
##     0.02, -0.16, -0.02, -0.02, -0.02, 0.23, 0.3, 0.31, 0.3, 0.31, 
##     0.31, 0.33, 0.31, 0.38, 0.39, 0.43, 0.57, 0.69, 0.92, 0.95, 
##     1.02, 0.94, 0.82, 0.71, 0.51, 0.3, 0.05, -0.07, -0.05, -0.02, 
##     0.64, 0.87, 0.41, 0.05, -0.25, -0.3, -0.18, 0.08, 0.13, 0.2, 
##     0.1, -0.08, -0.25, -0.43, -0.41, -0.44, -0.26, 0.3, 0.34, 
##     0.31, 0.28, 0.3, 0.36, 0.46, 0.57, 0.61, 0.82, 1.03, 1.02, 
##     1.1, 1.18, 1.15, 1.31, 1.35, 1.16, 1.13, 0.54, 0.21, 0.1, 
##     0, 0.15, 0.49, 0.52, 0.54, 0.46, 0.38, 0.3, 0.13, 0.07, 0.03, 
##     0.03, 0.07, 0.05, -0.05, -0.07, -0.02, 0, -0.08, -0.31, -0.52, 
##     -0.34, -0.48, -0.56, -0.07, -0.03, -0.11, -0.13, -0.07, 0.1, 
##     0.16, 0.43, 0.69, 0.74, 0.77, 0.71, 0.57, 0.51, 0.46, 0.36, 
##     0.25, 0.23, 0.26, 0.3, 0.43, 0.66, 0.87, 0.84, 0.62, 0.43, 
##     0.3, 0.18, 0.08, 0.07, 0.08, 0.11, 0.13, 0.15, 0.2, 0.28, 
##     0.21, 0.39, 0.56, 0.66, 0.67, 0.57, 0.54, 0.57, 0.54, 0.33, 
##     0.48, 0.59, 0.57, 0.49, 0.41, 0.31, 0.15, 0.16, 0.31, 0.75, 
##     0.62, 0.41, 0.31, 0.16, 0.05, -0.02, -0.08, -0.02, -0.08, 
##     -0.2, -0.23, -0.38, -0.21, -0.05, 0.11, 0.15, 0.1, -0.07, 
##     -0.1, -0.13, -0.1, 0.03, 0.23, 0.31, 0.36, 0.38, 0.41, 0.49, 
##     0.57, 0.75, 0.77, 0.51, 0.38, 0.56, 0.66, 0.82, 0.8, 0.85, 
##     0.9, 0.92, 1, 1.02, 1, 0.9, 0.87, 0.9, 0.75, 0.79, 1, 0.95, 
##     1.21, 0.67, 0.54, 0.71, 0.92, 1, 0.92, 0.57, 0.25, 0.05, 
##     -0.1, -0.11, -0.05, -0.07, -0.07, -0.05, 0.03, 0.1, 0.03, 
##     0.1, 0.13, 0.1, 0.08, 0.03, -0.03, 0.03, 0.07, 0.08, 0.08, 
##     0.07, 0.07, -0.05, -0.11, -0.15, -0.18, -0.21, -0.18, -0.15, 
##     -0.25, -0.23, -0.23, -0.23, -0.2, 0.2, 0.3, 0.2, 0.2, 0.18, 
##     -0.23, -0.26, -0.25, -0.18, -0.16, -0.15, -0.18, -0.23, -0.23, 
##     -0.28, -0.25, -0.07, -0.05, -0.08, -0.21, -0.21, 0.02, 0.05, 
##     -0.28, -0.23, 0.07, 0.18, 0.26, 0.2, 0.21, 0.28, 0.08, -0.13, 
##     -0.03, -0.03, -0.16, -0.03, 0.08, 0.1, 0.07, 0.05, 0.05, 
##     0.08, 0.08, 0.05, 0.05, 0.23, 0.3, 0.38, 0.39, 0.23, 0.03, 
##     -0.07, 0.02, 0.11, 0.15, 0.05, 0.03, 0.02, -0.02, -0.03, 
##     -0.05, -0.02, 0.02, 0.07, 0.08, 0.07, -0.05, -0.05, -0.08, 
##     -0.21, -0.36, -0.31, -0.23, -0.56, -0.52, -0.51, -0.48, -0.44, 
##     -0.43, -0.54, -0.61, -0.52, -0.36, -0.23, -0.11, 0, 0, -0.05, 
##     -0.16, -0.21, -0.46, -0.52, -0.54, -0.38, 0.11, 0.2, 0.15, 
##     0.07, -0.13, -0.11, 0.26, 0.25, 0.34, 0.38, 0.62, 0.15, 0.67, 
##     0.69, 0.82, 0.62, 0.62, 0.56, 0.23, 0.2, 0.15, 0.08, 0.23, 
##     0.28, 0.21, 0.15, 0.1, -0.02, -0.03, -0.02, -0.67, -0.75, 
##     -0.59, -0.61, -0.62, -0.71, -0.41, -0.92, -1.12, -1.1, -0.98, 
##     -0.8, -0.03, -0.16, -0.41, -0.16, 0.05, 0.33, 0.48, 0.61, 
##     0.62, 0.92, 0.71, 0.77, 1.1, 0.23, 0.15, 0.07, 0.03, 0.07, 
##     -0.28, -0.61, -0.69, -0.79, -0.75, -0.89, -0.94, -0.87, -0.41, 
##     -0.98, -0.98, -1.03, -0.41, -0.31, -0.43, -0.2, -0.02, 0.15, 
##     0.43, 0.51, 0.52, 0.71, 0.79, 0.64, 0.66, 0.92, 0.92, 0.77, 
##     1, 1.03, 0.85, 1, 0.85, 0.59, 0.39, 0.16, -0.02, -0.08, -0.1, 
##     -0.28, -0.44, -0.56, -0.64, -0.72, -0.66, -0.61, -0.61, -0.66, 
##     -0.67, -0.61, -0.52, -0.54, -0.97, -0.05, -0.08, -0.15, 0.15, 
##     0.34, 0.44, 0.39, 0.64, 0.87, 1.03, 0.74, 0.72, 0.54, 0, 
##     -0.1, -0.15, -0.07, 0.05, -0.05, -0.28, -0.46, -0.48, -0.46, 
##     -0.56, -0.57, -0.57, -0.44, -0.33, -0.3, -0.36, -0.56, -0.49, 
##     -0.39, -0.39, -0.36, -0.28, -0.23, -0.11, -0.02, 0.05, 0, 
##     0.05, 0.03, 0.05, 0.25, 0.56, 0.8, 0.57, 0.67, 0.75, 0.62, 
##     0.49, 0.54, 0.26, 0.26, 0.38, 0.33, 0.33, 0.16, 0.03, 0.05, 
##     -0.02, -0.26, -0.62, -0.51, -0.38, -0.21, 0.25, 0.21, 0.2, 
##     0.21, 0.25, 0.15, 0.07, -0.18, -0.36, -0.49, -0.54, -0.51, 
##     -0.46, -0.39, -0.43, -0.18, -0.11, -0.62, -0.38, -0.3, -0.36, 
##     -0.31, -0.26, -0.25, -0.2, 0, 0.08, 0.16, 0.25, 0.23, 0.23, 
##     0.41, 0.34, 0.36, 0.26, 0.21, 0.38, 0.94, 0.77, 0.79, 0.57, 
##     0.43, 0.3, 0.28, 0.25, 0.25, 0.36, 0.43, 0.28, -0.21, -0.44, 
##     -0.49, -0.44, -0.2, -0.18, -0.23, -0.31, -0.44, -0.59, -0.69, 
##     -0.61, -0.48, -0.46, -0.41, -0.36, -0.31, -0.26, -0.25, -0.13, 
##     -0.11, -0.31, -0.34, -0.25, -0.11, 0.18, 0.26, 0.28, 0.31, 
##     0.39, 0.61, 0.8, 0.85, 0.61, 0.66, 0.9, 0.8, 0.75, 0.59, 
##     0.46, 0.46, 0.28, 0.36, 0.46, 0.2, 0.28, 0.38, 0.25, 0.07, 
##     0.02, -0.05, -0.2, -0.39, -0.49, -0.59, -0.59, -0.64, -0.62, 
##     -0.67, -0.71, -0.71, -0.05, -0.03, -0.03, -0.07, -0.03, -0.02, 
##     -0.02, -0.03, -0.07, -0.1, -0.07, -0.03, 0.05, 0.07, 0.02, 
##     0.02, 0, 0.08, 0.15, 0.08, -0.26, -0.31, -0.3, -0.23, -0.07, 
##     0.03, 0.13, 0.23, 0.1, -0.05, -0.08, -0.11, -0.1, 0.59, 0.69, 
##     0.1, -0.43, -0.26, -0.07, 0.15, 0.34, 0.34, 0.08, -0.16, 
##     0.34, 0.34, 0.26, -0.21, -0.02, 0.05, 0.16, 0.36, 0.31, 0.11, 
##     0.07, 0.05, 0, -0.03, 0, -0.08, -0.07, -0.13, -0.21, -0.33, 
##     -0.38, -0.36, -0.34, -0.36, -0.36, -0.1, 0.18, 0.39, 0.61, 
##     0.72, 0.28, -0.25, -0.51, -0.61, -0.69, -0.43, 0.02, 0.26, 
##     -0.02, 0, 0.07, 0.13, 0.07, 0.03, -0.08, -0.16, -0.26, 0.02, 
##     -0.1, -0.11, -0.08, 0.05, 0.48, 0.48, 0.31, -0.03, 0, -0.1, 
##     -0.11, -0.2, -0.11, -0.08, -0.54, -0.52, -0.25, -0.21, -0.33, 
##     -0.54, -0.25, 0.25, 0.51, 0.48, 0.46, 0.38, 0.25, 0.21, 0.87, 
##     1.61, 1.25, 0.26, -0.46, -0.1, -0.3, 0, 0.08, 0.39, 0.28, 
##     0.21, 0.13, 0.11, 0.18, 0.25, 0.25, 0.28, 0.16, -0.07, -0.18, 
##     0.05, 0.1, 0.18, -0.2, -0.26, 0.75, 0.97, 0.85, 0.28, -0.2, 
##     -0.23, -0.21, -0.15, -0.07, -0.11, -0.2, -0.2, -0.1, 0.64, 
##     0.72, 0.72, 0.28, 0, -0.21, -0.28, -0.36, -0.36, 0.05, 0.3, 
##     0.44, 0.33, 0.41, -0.39, -0.39, -0.21, -0.38, -0.38, -0.15, 
##     -0.03, -0.59, -0.39, -0.21, 0.3, 0.25, 0.18, 0.11, -0.07, 
##     -0.16, -0.23, -0.31, -0.34, -0.31, 0.59, 0.48, 0.21, -0.03, 
##     -0.15, -0.13, 0.02, 0.39, 0.49, -0.21, -0.54, -0.69, -0.69, 
##     -0.48, -0.08, 0.36, 0.74, -0.36, -0.62, -0.43, -0.25, -0.18, 
##     0.61, 0.49, 0.31, 0.11, -0.08, 0.36, 0.36, 0.21, 0.26, 0.3, 
##     0, 0.18, 0.11, -0.23, -0.48, -0.56, -0.18, 0.44, -0.3, -0.46, 
##     -0.46, -0.51, -0.51, -0.44, -0.3, -0.1, 0.08, 0.23, 0.36, 
##     0.28, 0.3, 0.05, -0.43, -0.39, -0.1, 0.15, 0.3, 0.43, 0.18, 
##     -0.07, -0.52, -0.57, 0.21, 0.61, 0.49, 0, 0.05, -0.18, -0.2, 
##     -0.2, 0.3, 0.9, 0.67, 0.05, -0.75, -0.1, 0.21, -0.05, 0.08, 
##     -0.02, -0.16, 0.39, 0.36, 0.08, -0.11, -0.2, -0.52, -0.34, 
##     -0.05, 0.67, 0.67, 0.57, 0.41, 0.18, 0.1, 0.11, 0.23, 0.51, 
##     0.44, 0.38, 0.23, 0.21, 0.39, 0.05, -0.3, -0.11, -0.02, 0.1, 
##     0, -0.08, -0.25, -0.61, -0.67, -0.31, -0.02, 0.56, 0.75, 
##     0.48, -0.03, -0.49, -0.98, -1.18, -0.8, -0.34, 0.28, 0.52, 
##     -0.11, -0.11, -0.07, 0.08, 0.38, 0.39, 0.36, 0.36, 0.43, 
##     0.44, -0.08, -0.08, 0.72, 0.43, 0.03, -0.79, -0.44, 0.3, 
##     0.89, 0.75, 0.33, -0.57, -0.2, 0.26, -0.02, -0.2, -0.54, 
##     0.57, -0.2, -0.72, -0.94, -0.94, -0.84, -0.84, -0.52, -0.41, 
##     0.44, 0.36, 0.13, 0.16, 0.18, 0.03, -0.08, -0.15, -0.21, 
##     -0.25, -0.25, 0.03, 0.08, 0.1, 0.08, 0.03, -0.05, -0.18, 
##     -0.2, 0.02, -0.02, -0.13, 0, 0.03, 0.03, 0.11, 0.02, -0.11, 
##     -0.13, -0.16, -0.25, -0.21, -0.16, -0.11, -0.15, -0.02, 0.02, 
##     0, -0.02, 0, 0.03, 0, -0.02, 0, -0.05, 0.03, 0.02, 0, -0.03, 
##     -0.07, -0.07, -0.03, 0.02, 0, 0.08, 0.21, -0.11, -0.16, -0.2, 
##     -0.2, -0.2, -0.2, -0.15, 0.02, 0.02, 0.03, -0.15, -0.3, -0.28, 
##     -0.2, -0.41, -0.41, -0.34, -0.3, -0.13, 0.28, 0.28, 0.15, 
##     0.02, 0, -0.21, -0.28, 0, -0.2, 0.25, 1.44, 1.18, 0.94, 0.33, 
##     -0.48, -0.49, -0.13, 1.07, 1.56, 1.77, 1.03, -0.56, -0.34, 
##     -0.15, 0.02, 0.11, 0.16, -1.03, -1.25, -1.08, -0.46, -0.18, 
##     -0.36, -0.59, -0.61, -0.54, -0.44, 0.61, 0.39, 0.11, 0.07, 
##     0.08, -0.13, -0.05, -0.07, 1.79, 1.23, 0.11, -0.52, -0.94, 
##     -0.07, 0.72, 0.75, 0.2, 0.11, 0.26, 0.18, -0.05, -0.26, -0.36, 
##     -0.41, -0.31, -0.08, -0.07, -0.1, -0.18, -0.25, -0.23, -0.08, 
##     0.07, -0.05, -0.1, -0.21, -0.15, -0.03, 0.02, -0.07, -0.07, 
##     -0.02, 0.07, 0.05, 0, -0.03, -0.08, -0.08, -0.08, -0.08, 
##     -0.05, -0.02, -0.07, -0.03, 0, -0.08, -0.15, 0.05, 0.07, 
##     0.08, 0.1, 0.1, 0.18, 0.26, 0.34, 0.36, 0.51, 0.56, 0.54, 
##     0.51, 0.48, 0.46, 0.41, 0.41, 0.46, 0.54, 0.71, 0.52, 0.2, 
##     0.05, -0.26, -0.57, -0.92, -1.08, -0.87, -0.36, 0.1, 0.21, 
##     0.25, 0.62, 0.52, 0.82, 0.97, 0.51, -0.54, -0.62, -0.64, 
##     -0.59, 0.15, -0.26, -0.13, 0.08, 0.23, 0.3, 0.21, 0.07, -0.1, 
##     -0.25, -0.25, -0.31, -0.16, 0, 0.11, -0.02, -0.15, -0.16, 
##     -0.02, -0.05, -0.1, -0.08, -0.05, 0.02, 0.64, 0.49, 0.26, 
##     -0.05, -0.2, -0.16, -0.07, -0.02, 0.05, -0.31, -0.61, -0.77, 
##     -0.69, -0.66, -0.69, -0.49, -0.49, -0.66, -0.52, -0.34, -0.23, 
##     -0.44, -0.43, -0.21, 0.05, 0, -0.05, 0.05, 0.23, 0.33, 0.48, 
##     0.79, 0.74, 0.69, 0.52, 0.05, -0.16, -0.31, -0.43, -0.05, 
##     -0.52, -0.72, -0.67, -0.56, -0.56, -0.57, -0.61, -0.52, -0.39, 
##     -0.23, -0.03, 0.07, 0.05, 1.64, 1.72, 1.48, 1.16, 1.84, 2, 
##     2.35, 2.26, 0.87, 0.3, 0.48, 0.77, 1.12, 1.23, 1.02, 0.97, 
##     0.89, 0.72, 0.61, 0.64, 0.74, 0.94, 1.08, 1.08, 1, 0.92, 
##     0.9, 0.87, 0.95, 0.95, 0.89, 0.8, 0.52, 0.49, 0.48, 0.41, 
##     0.51, 0.56, 0.41, -0.02, -0.13, -0.23, -0.3, -0.33, -0.28, 
##     -0.33, -0.44, -0.57, -0.77, -0.79, -0.36, -0.26, -0.54, -1.33, 
##     -0.66, -0.46, -0.2, -0.03, 0.08, 0.3, 0.3, 0.31, 0.3, 0.31, 
##     0.36, 0.41, 0.46, 0.46, 0.41, 0.44, 0.52, 0.71, 0.95, 1.36, 
##     1.53, 1.69, 1.99, 2.23, 2.31, 2.38, 2.05, 2.28, 2.21, 2.03, 
##     1.87, 1.54, 1.33, 1.28, 1.21, 1.16, 1.05, 0.94, 0.72, 0.61, 
##     0.62, 0.66, 0.67, 0.69, 0.67, 0.85, 0.9, 0.89, 0.82, 0.79, 
##     1.05, 1.48, 1.69, 1.64, 1.23, 0.84, 0.41, 0.43, 0.51, 0.82, 
##     0.84, 0.79, 0.56, 0.25, 0.25, 0.33, 0.46, 0.62, 0.62, 0.57, 
##     0.54, 0.59, 0.67, 0.77, 0.89, 0.97, 0.98, 0.84, 0.46, 0.33, 
##     0.25, 0.23, 0.2, 0.13, 0.08, 0.07, 0.07, 0.2, 0.34, 0.46, 
##     0.48, 0.48, 0.44, 0.38, 0.34, 0.38, 0.48, 0.57, 0.66, 0.71, 
##     0.69, 0.66, 0.62, 0.59, 0.87, 0.84, 0.8, 0.72, 0.48, 0.41, 
##     0.36, 0.31, 0.33, 0.41, 0.52, 0.41, 0.2, 0.31, 0.21, 0.15, 
##     0.02, -0.2, -0.56, -0.51, 0.26, 0.13, -0.07, -0.28, -0.31, 
##     -0.2, 0.25, 0.33, 0.48, 0.49, 0.44, 0.31, 0.21, 0.23, 0.43, 
##     0.49, 0.51, 0.44, 0.46, 0.64, 0.71, 0.74, 0.85, 0.74, 0.85, 
##     0.94, 0.71, 0.61, 0.59, 0.61, 0.8, 0.9, 0.75, 0.56, 0.44, 
##     0.69, 0.69, 0.71, 0.69, 0.67, 0.67, 0.67, 0.3, 0.28, 0.41, 
##     0.51, 0.52, 0.38, 0.18, 0.05, 0.05, 0.11, 0.05, -0.1, -0.07, 
##     0.02, 0.1, 0.15, 0.15, 0, 0.11, 0.11, 0.1, 0.23, 0.2, 0.02, 
##     0.02, 0.16, 0.31, 0.51, 0.62, 0.49, 0.41, 0.48, 0.61, 0.74, 
##     0.8, 0.84, 0.89, 0.82, 0.8, 0.62, 0.62, 0.75, 0.84, 0.97, 
##     0.25, 0.15, 0.3, 0.51, 0.69, 0.84, 0.85, 0.57, 0.34, 0.1, 
##     -0.39, -0.61, -0.57, -0.25, 0.25, 0.71, 1.1, 1, 0.39, 0.43, 
##     0.77, 0.8, 0.8, 0.74, -0.02, 0.48, 0.98, 0.84, 0.61, 0.48, 
##     0.39, 0.51, 0.82, 0.87, 0.56, 0.36, -0.03, -0.1, -0.07, 0.03, 
##     0.15, 0.23, 0.3, 0.08, 0.03, 0.02, 0.03, 0.13, -0.1, -0.08, 
##     0.05, 0.11, 0.2, 0.34, 0.49, 0.56, 0.49, 0.36, 0.39, 0.56, 
##     0.59, 0.62, 0.61, 0.79, 0.8, 0.92, 1, 0.85, 1.21, 1.05, 1.07, 
##     0.52, 0.26, 0.3, 0.31, 0.49, 0.82, 1.1, 1.21, 1.2, 0.75, 
##     0.48, 0.48, 0.52, 0.72, 1.02, 0.82, 0.61, 0.46, 0.28, 0.16, 
##     0.11, 0.15, 0.25, 0.46, 0.74, 0.31, 0.31, 0.43, 0.66, 0.66, 
##     0.66, 0.61, 0.56, 0.52, 0.02, 0.02, 0.07, 0.11, 0.1, 0, -0.07, 
##     0.05, 0.13, 1.12, 0.92, 0.67, 0.74, 1.05, 1.26, 1.21, 1.07, 
##     0.87, 0.66, 0.39, 0.39, 0.44, 0.52, 0.62, 0.79, 0.8, 0.75, 
##     0.67, 0.56, 0.3, 0.34, 0.43, 0.49, 0.54, 0.57, 0.59, 0.67, 
##     0.72, 0.66, 0.61, 0.56, 0.48, 0.38, 0.31, 0.23, 0.21, 0.23, 
##     0.26, 0.2, 0.13, 0.07, 0.02, -0.05, 0, 0.18, 0.16, 0.11, 
##     0.11, 0.34, 0.39, 0.31, 0.26, 0.46, 0.25, 0.36, 0.34, 0.43, 
##     0.48, 0.74, 1, 1.08, 0.95, 0.71, 0.52, 0.39, 0.43, 0.59, 
##     0.77, 1.02, 0.95, 0.98, 0.95, 0.98, 1.03, 1.05, 0.98, 0.74, 
##     0.67, 0.71, 0.72, 0.97, 0.82, 0.33, 0.26, 0.21, 0.36, 0.49, 
##     0.59, 0.46, 0.31, 0.28, 0.28, 0.28, 0.38, 0.59, 0.59, 0.46, 
##     0.23, 0.1, 0.07, 0.11, 0.21, 0.1, -0.26, 0.11, 0.08, -0.03, 
##     -0.11, 0.21, 0.39, 0.56, 0.61, 0.62, 0.59, 0.54, 0.48, 0.41, 
##     0.41, 0.52, 0.44, 0.44, 0.48, 0.44, 0.46, 0.67, 0.8, 0.82, 
##     0.77, 0.79, 1.02, 1.05, 1.02, 1, 0.82, 0.74, 0.9, 1.03, 1.2, 
##     1.35, 0.39, 0.48, 0.66, 0.69, 0.75, 0.97, 1.02, 0.8, 0.69, 
##     0.44, 0.48, 0.46, 0.46, 0.3, 0.23, 0.03, 0.02, 0.21, 0.2, 
##     0.13, 0.13, 0.11, 0.05, -0.11, -0.08, -0.07, -0.03, 0.07, 
##     0.08, 0, 0.02, 0.13, 0.13, 0.26, 0.25, 0.34, 0.38, 0.36, 
##     0.28, 0.16, 0.1, 0.57, 0.72, 0.66, 0.48, 0.59, 0.74, 0.8, 
##     0.89, 0.18, 0.16, 0.16, 0.13, 0.11, 0.15, 0.07, 0.08, 0.16, 
##     0.46, 0.49, 0.46, 0.61, 0.54, 0.46, 0.52, 0.67, 0.89, 1.02, 
##     1.05, 0.38, 0.43, 0.38, 0.75, 0.56, 0.38, 0.18, 0.18, 0.77, 
##     0.67, 0.59, 0.57, 0.46, 0.33, 0.31, 0.31, 0.36, 1.61, 2.08, 
##     1.8, 1.41, 0.64, 0.44, 0.25, 0.18, 0.2, 0.13, -0.03, -0.15, 
##     0.08, 0.74, 0.71, 0.61, 0.56, 0.56, 0.59, 0.67, 0.72, 0.77, 
##     0.8, 0.84, 0.85, 0.84, 0.75, 0.67, 0.66, 0.03, 0.11, 0.15, 
##     0.16, 0.21, 0.25, 0.25, 0.21, 0.07, 0.18, 0.21, 0.41, 0.51, 
##     0.54, 0.56, 0.46, 0.44, 0.52, 0.62, 0.79, 1.26, 1.64, 1.77, 
##     1.46, 1.1, 1.1, 1.02, 0.75, -0.2, 0.05, 0.9, 1.26, 1.33, 
##     1.12, 0.92, 0.87, 0.95, 0.89, 0.95, 0.98, 0.74, 0.44, 0.21, 
##     0.72, 0.87, 0.48, 0.41, 0.38, 0.46, 0.51, 0.56, 0.69, 0.77, 
##     0.82, 0.8, 1.18, 1.38, 1.54, 1.61, 1.85, 1.67, 1.64, 1.72, 
##     1.57, -0.03, 0.75, 0.59, 0.64, 0.48, 0.67, 0.41, 0.52, 0.59, 
##     0.52, 0.13, 0.1, 0.08, -0.2, -0.28, 0.13, 0.16, 0.11, -0.8, 
##     -0.82, -0.8, -0.75, 0.03, 0.31, 0.15, -0.15, -0.21, -0.21, 
##     -0.2, 0.03, 0.3, 0.15, 0.02, -0.08, -0.18, -0.15, -0.1, -0.02, 
##     0.03, 0.07, -0.1, -0.21, -0.05, 0.1, 0.52, 0.57, 0.43, 0.26, 
##     0.3, 0.18, 0.28, 0.79, 0.66, 0.46, 0.74, 1.03, 0.94, 0.64, 
##     -0.13, -0.46, -0.69, -0.79, -0.69, -0.41, -0.28, 0.21, 0.28, 
##     0.25, 0.64, 0.9, 1.07, 1.03, 0.82, 0.54, 0.28, 0.02, -0.21, 
##     -0.38, -0.46, -0.52, -0.71, -0.64, -0.72, -0.89, -0.85, -0.71, 
##     -0.56, -0.39, -0.02, -0.18, -0.95, -1.13, -0.71, -0.51, -0.02, 
##     -0.07, -0.08, -0.15, -0.21, -0.28, -0.38, -0.25, 0.36, 0.41, 
##     -0.02, -0.3, -0.18, 0.05, 0.13, 0.05, -0.03, -0.08, -0.08, 
##     -0.07, -0.11, -0.11, -0.07, 0, 0.02, -0.02, -0.08, -0.11, 
##     -0.1, 0.03, 0.02, 0.26, 0.33, 0.3, 0.3, 0.34, 0.03, -0.1, 
##     -0.08, 0.15, 0.28, 0.84, 0.56, 0.51, 0.34, 0.03, -0.08, 0.11, 
##     0.43, 0.59, 0.94, 1.13, 0.89, 0.16, 0.33, 0.36, 0.21, 0.13, 
##     0.18, 0.52, 0.66, 0.31, -0.56, -0.64, -0.62, -0.41, -0.28, 
##     -0.1, -0.05, -0.25, -0.44, -0.72, -0.77, -0.69, -0.51, -0.25, 
##     0.02, 0.23, 0.16, -0.03, -0.23, -0.34, -0.82, -0.48, -0.49, 
##     -0.28, -0.13, -0.05, -0.07, 0, -0.15, -0.38, 0.16, 0.28, 
##     0.36, 0.13, 0.16, 0.08, -0.13, -0.34, -0.33, -0.21, -0.18, 
##     -0.15, -0.18, -0.28, -0.38, -0.52, -0.56, -0.54, -0.39, -0.31, 
##     -0.34, -1.26, -1.25, -1.13, 0.08, 0.18, 0.03, 0.2, 0.1, 0.03, 
##     0, 0.02, 0.11, 0.2, 0.46, 0.36, 0.23, -0.08, 0.13, 0.2, 0.23, 
##     0.31, 0.41, 0.43, 0.31, 0.13, -0.07, -0.36, -0.13, 0.08, 
##     0.23, 0.34, 0.1, 0.07, 0.08, 0.08, -0.07, -0.69, -0.79, -0.77, 
##     -0.44, -0.16, -0.33, -0.41, -0.43, -0.43, -0.46, -0.48, -0.15, 
##     0.08, 0.08, 0.11, 0.16, 0.08, 0.07, 0, 0.03, -0.03, -0.25, 
##     0.18, 0.16, 0.16, 0.15, 0.07, 0.07, 0.05, 0.05, 0.2, 0.36, 
##     0.08, -0.03, 0.3, 0.25, 0.64, 0.69, 0.07, -0.02, -0.1, -0.07, 
##     -0.23, -0.33, -0.44, -0.34, -0.16, 0.07, 0.36, 0.38, 0.23, 
##     0.11, 0.02, -0.16, -0.23, -0.15, -0.13, -0.2, -0.31, -0.57, 
##     -0.57, -0.59, -0.49, -0.39, -0.3, -0.31, -0.36, -0.43, -0.49, 
##     -0.56, -0.69, -0.66, -0.46, 0.16, 0.03, -0.05, -0.25, -0.25, 
##     -0.16, -0.13, -0.1, -0.11, 0.15, 0.18, 0.2, 0.16, 0.02, -0.03, 
##     -0.26, -0.15, 0, 0.02, -0.07, 0.31, 0.66, 0.25, 0.03, 0.43, 
##     0.51, 0.64, 0.79, 0.52, 0.07, 0.26, 0.46, 0.62, 0.62, -0.16, 
##     -0.2, -0.1, 0.03, 0.11, 0.21, 0.18, 0.05, 0.07, -0.03, -0.15, 
##     -0.39, -0.44, -0.36, 0.59, 0.31, 0.16, -0.21, 0.46, 0.33, 
##     -0.07, 0.26, 0.57, -0.51, -0.49, -0.56, -0.56, -0.44, -0.3, 
##     -0.13, 0.11, 0.26, 0.21, 0.08, -0.31, -0.33, -0.31, -0.16, 
##     -0.02, 0.13, 0.3, 0.21, -0.1, -0.13, -0.13, 0, 0, -0.03, 
##     -0.1, 0.1, -0.03, -0.13, -0.15, 0.05, 0.26, 0.25, 0.13, 0.3, 
##     0.18, 0.11, -0.08, 0.28, 0.75, 0.43, -0.08, -0.16, -0.18, 
##     -0.03, 0.08, 0.1, 0.05, 0, -0.03, -0.02, 0.05, 0.15, 0.1, 
##     0.05, -0.51, 0.66, 0.57, 0.69, 0.74, 0.41, 0.16, -0.07, -0.41, 
##     -0.34, -0.07, 0.16, 0.07, -0.08, 0, -0.03, -0.05, -0.1, -0.34, 
##     -0.48, 0.41, -0.05, -0.36, -0.64, -0.72, -0.34, -0.2, -0.13, 
##     -0.34, -0.48, -0.64, -0.8, -0.95, -1.05, -1.02, -0.84, -0.51, 
##     -0.41, -0.36, -0.31, -0.18, -0.05, -0.16, -0.16, -0.64, 0.59, 
##     0.52, 0.34, 0, 0.11, 0.11, -0.02, -0.2, -0.23, -0.05, 0.03, 
##     -0.07, -0.05, 0.02, 0.07, 0.16, 0.18, 0, -0.08, -0.1, -0.11, 
##     -0.13, -0.07, 0.15, 0.33, 0.25, 0.23, 0.38, 0.39, 0.34, 0.28, 
##     0.3, 0.33, 0.62, 0.43, 0.38, 0.08, 0.26, 0.2, 0.15, 0.07, 
##     0.07, 0.1, 0.16, 0.25, 0.2, 0.08, -0.03, -0.15, -1.12, -1.33, 
##     -1.54, -1.76, -1.85, -0.87, -0.46, -0.23, -0.34, -0.85, -1.15, 
##     -1.48, -1.26, -0.84, -0.74, -0.64, -0.72, -0.02, -0.11, -0.02, 
##     -0.02, -0.02, -0.05, -0.1, -0.11, -0.11, -0.08, 0.03, -0.03, 
##     -0.1, -0.07, -0.07, -0.08, -0.13, -0.21, -0.31, 0.21, 0.54, 
##     -0.18, -0.02, 0, 0.03, 0.03, 0, -0.02, -0.05, 0.07, -0.03, 
##     0.02, 0.05, 0.03, -0.07, 0.02, 0.1, -0.05, -0.03, -0.05, 
##     0, 0.28, 0.16, -0.43, -0.64, -0.79, -0.36, 0.34, 0.57, 0.64, 
##     0.57, 0.3, -0.2, -0.34, -0.33, -0.13, 0.08, 0.2, -0.25, -0.21, 
##     -0.13, -0.03, -0.25, -0.33, -0.1, -0.21, -0.28, -0.46, -0.49, 
##     -0.41, -0.21, -0.15, -0.08, 0.02, 0.15, 0.41, 0.44, 0.36, 
##     0.34, 0.41, 0.18, 0.02, 0.05, 0.07, 0.26, 0.39, 0.49, 0.54, 
##     0.52, 0.49, 0.21, 0.28, 0.23, 0.26, 0.23, 0.18, 0.1, 0, -0.16, 
##     -0.16, -0.1, -0.3, -0.23, 0.07, 0, 0.54, 0.41, 0.25, 0.2, 
##     0.05, 0, 0.03, 0.21, 0.43, 0.46, 0.44, 0.34, 0.16, 0.16, 
##     0.15, 0.03, 0.16, 0.11, 0.08, 0, -0.05, -0.23, -0.28, -0.38, 
##     -0.38, -0.26, -0.07, -0.11, 0.02, 0.1, 0.13, 0.07, 0.05, 
##     -0.15, 0, 0.44, 0.18, 0.2, 0.67, 0.33, 0, -0.23, -0.21, 0.39, 
##     0.46, 0.34, -0.02, -0.05, -0.07, -0.07, -0.08, 0.11, 0.2, 
##     0.21, 0.11, 0.13, -0.11, 0.15, 0.16, 0.11, 0.07, -0.02, -0.08, 
##     -0.23, -0.34, -0.57, -0.46, -0.34, -0.23, -0.21, -0.21, -0.11, 
##     -0.39, -0.41, -0.39, -0.33, -0.18, -0.16, -0.28, -0.15, -0.05, 
##     -0.16, 0.11, 0.23, 0.31, 0.25, -0.05, -0.15, -0.2, -0.1, 
##     0.43, 0.41, 0.28, 0.23, 0.18, 0.15, 0.03, 0.05, 0.02, 0, 
##     0.07, 0.03, -0.02, -0.28, 0.33, 0.33, 0.33, 0.26, 0, 0.02, 
##     0.05, 0.25, 0.33, 0.31, 0.05, -0.16, -0.05, -0.1, 0.05, 0.02, 
##     0.08, 0.03, -0.02, -0.31, 0.05, 0.16, 0, -0.02, -0.05, -0.25, 
##     -0.39, -0.2, 0.1, 0.26, 0.31, 0.16, -0.31, -0.02, 0.26, 0.3, 
##     0.05, 0.11, 0.31, 0.44, 0.41, 0.25, 0.07, -0.57, -0.28, -0.67, 
##     -0.64, -0.48, 0.1, 0.33, 0.23, 0.23, 0.18, 0.08, 0.28, 0.41, 
##     0.44, 0.57, 0.64, 1.03, 0.49, 0.66, 0.56, 0.51, 0.41, 0.25, 
##     0.21, 0.34, 0.43, 0.41, 0.16, 0.05, 0, -0.15, -0.36, -0.3, 
##     0.05, 0.08, 0.11, 0.03, -0.21, -0.3, -0.31, -0.28, -0.15, 
##     -0.05, 0.08, 0.08, 0.05, 0.05, 0.05, 0.07, 0.02, -0.03, 0.31, 
##     0.33, 0.3, 0.51, 0.59, 0.74, 0.69, 0.71, 0.57, 0.56, 0.38, 
##     0.52, 0.26, 0.64, 0.74, 0.49, 0.44, 0.54, 0.08, 0.02, -0.07, 
##     -0.31, -0.3, 0.21, 0.48, 0.46, -0.16, -0.48, -0.98, -1.13, 
##     -1.16, -0.74, 0.03, -0.05, -0.2, -0.43, 0.1, 0.34, 0.48, 
##     0.52, 0.31, 0.26, 0.3, 0.23, 0.36, 0.43, 0.38, 0.36, 0.56, 
##     0.66, 1.1, 1.15, 0.71, 0.61, 0.52, 0.43, 0.18, 0.07, -0.26, 
##     -0.46, -0.57, -0.66, -0.62, -0.61, -0.9, -0.9, -0.97, -1, 
##     -1.02, -1.02, -0.95, -0.82, -0.38, -0.44, -0.43, -0.49, -0.46, 
##     -0.43, -0.43, -0.66, -0.74, -0.84, -0.57, -0.48, -0.38, -0.11, 
##     -0.94, -0.05, 0.44, 0.72, 0.8, 0.64, 0.49, 0.48, 0.56, 0.69, 
##     0.77, 0.82, 0.89, 0.87, 0.69, 0.69, 0.8, 0.97, 1.2, 1.05, 
##     0.75, 0.75, 0.41, 0.38, 0.3, -0.07, -0.15, -0.25, -0.43, 
##     -0.59, -0.64, -0.69, -0.69, -0.57, -0.61, -0.66, -0.84, -0.72, 
##     -0.94, -0.9, -0.8, -0.66, -0.46, -0.3, -0.26, -0.56, -0.61, 
##     -0.51, 0.33, 0.52, 0.51, 0.44, 0.38, 0.18, 0.2, 0.48, 0.46, 
##     0.56, 0.67, 0.66, -0.02, -0.18, -0.25, -0.49, -0.59, -0.56, 
##     -0.44, -0.31, -0.25, -0.26, -0.34, -0.43, -0.48, -0.49, -0.46, 
##     -0.2, -0.77, -0.84, -0.66, 0.48, 0.31, 0.11, 0, 0.05, 0.43, 
##     0.13, 0.51, 0.52, 0.11, 0.34, 0.34, 0.38, 0.38, 0.02, -0.05, 
##     -0.03, -0.02, 0.02, 0.16, 0.16, 0.18, 0.16, 0.11, 0.03, -0.08, 
##     -0.11, -0.13, -0.07, 0, -0.03, -0.13, -0.31, -0.33, -0.34, 
##     -0.03, -0.25, -0.31, -0.18, 0.21, -0.03, 0.02, 0.18, -0.15, 
##     -0.11, -0.03, 0.11, 0.33, 0.3, 0.15, -0.05, -0.16, -0.26, 
##     -0.33, -0.34, -0.16, -0.07, 0.44, 0.43, 0.33, 0.23, 0.18, 
##     0.13, 0, -0.3, 0.16, -0.11, -0.07, -0.1, -0.02, 0.05, 0.05, 
##     0.05, 0.02, 0.28, 0.25, 0.15, 0.16, -0.13, -0.1, -0.13, -0.21, 
##     -0.23, -0.48, -0.62, -0.75, -0.72, -0.84, -0.97, -1.3, -0.97, 
##     -0.16, 0.36, 0.82, 0.51, 0.31, 0.57, 0.52, 0.85, 1.05, 0.85, 
##     0.9, 0.74, 0.33, 0.2, 0.1, -0.23, -0.31, -0.13, -0.16, -0.03, 
##     -0.08, -0.11, -0.11, 0.82, 0.46, 0.64, 0.62, 0.62, 0.61, 
##     0.69, 0.28, 0.15, 0.2, 0.33, 0.38, 0.11, -0.08, -0.23, -0.1, 
##     0.02, -0.08, -0.1, 0.02, -0.1, -0.03, 0.03, 0.07, -0.02, 
##     -0.1, -0.23, -0.25, -0.16, -0.23, -0.33, -0.38, -0.43, -0.43, 
##     -0.46, -0.41, -0.44, -0.13, 0.2, 0.13, 0.31, 0.52, 0.33, 
##     0.43, 0.61, 0.71, 0.44, 0.59, 0.74, -0.02, -0.23, -0.28, 
##     -0.03, -0.03, -0.05, 0, 0.05, 0.03, 0, -0.08, -0.2, -0.23, 
##     -0.3, -0.33, -0.39, -0.43, -0.34, -0.26, -0.25, -0.57, -0.61, 
##     -0.69, -0.64, -0.2, -0.21, -0.21, -0.21, -0.2, -0.25, -0.25, 
##     -0.28, -0.33, -0.3, -0.25, -0.28, -0.3, -0.44, -0.56, -0.62, 
##     -0.61, -0.52, -0.49, -0.41, -0.25, 0.13, 0.1, 0.18, 0.26, 
##     0.23, 0.39, 0.59, 0.43, 0.56, 0.71, 0.89, 0.69, 0.56, 0.23, 
##     0.07, 0.2, 0.48, 0.62, 0.52, 0.16, 0.08, -0.16, -0.05, -0.03, 
##     -0.07, -0.08, -0.05, -0.08, -0.08, -0.13, -0.15, -0.23, -0.16, 
##     -0.15, -0.15, -0.28, -0.49, -0.51, -0.51, 0.25, 0.16, 0.03, 
##     -0.05, -0.11, -0.1, 0, -0.05, -0.15, -0.16, -0.11, -0.05, 
##     -0.03, -0.02, -0.15, -0.25, -0.3, -0.39, -0.41, -0.54, -0.59, 
##     -0.52, -0.44, -0.38, -0.36, -0.41, -0.3, 0.1, 0.33, 0.23, 
##     0.26, 0.15, 0.36, 0.33, 0.75, 0.64, 0.62, 0.84, 0.85, 0.75, 
##     0.67, 0.77, 0.94, 0.74, 0.51, 0.48, -0.15, -0.25, -0.07, 
##     0.16, 0.07, 0.02, -0.02, 0, 0.05, -0.08, -0.16, -0.28, -0.26, 
##     -0.26, -0.25, -0.28, -0.28, -0.3, -0.39, -0.49, -0.62, -0.66, 
##     -0.51, -0.39, -0.3, -0.25, -0.03, 0.23, 0.36, 0.39, 0.41, 
##     0.41, 0.38, 0.51, 0.43, 0.54, 0.51, 0.54, -0.03, 0.07, 0.03, 
##     0.08, 0.03, -0.15, -0.05, -0.18, -0.2, -0.13, -0.11, -0.34, 
##     -0.59, -0.62, -0.59, -0.61, -0.66, -0.62, -0.69, -0.82, -0.82, 
##     -0.82, -0.8, -0.26, -0.2, -0.07, -0.1, 0.36, 0.36, 0.56, 
##     0.67, 0.56, 0.05, -0.13, -0.25, -0.23, -0.2, -0.21, -0.1, 
##     -0.31, -0.33, -0.23, -0.25, -0.84, -1.31, -0.54, -0.25, 0.36, 
##     -0.26, -0.28, -0.34, -0.26, 0, 0.05, -0.15, -0.41, -0.62, 
##     -0.33, -0.21, -0.13, -0.08, -0.26, -0.28, -0.2, 0.2, 0.16, 
##     0.16, 0.1, 0.05, 0.08, 0.08, 0.1, 0.2, 0.26, 0.34, 0.18, 
##     0.28, 0.28, 0.33, 0.48, 0.3, 0.2, 0.03, -0.16, 0.03, 0.23, 
##     0.16, -0.15, -0.28, -0.26, -0.18, -0.11, -0.16, -0.21, -0.28, 
##     -0.64, -0.64, -0.56, -0.48, -0.34, -0.16, 0.05, 0.03, 0.02, 
##     -0.05, -0.26, -0.28, -0.31, -0.34, -0.33, -0.26, -0.13, -0.08, 
##     -0.03, -0.02, -0.08, -0.2, -0.2, 0.1, 0.05, -0.03, -0.13, 
##     -0.13, -0.16, -0.02, 0.16, 0.34, 0.38, 0.15, 0.21, 0.26, 
##     0.25, 0.48, 0.43, -0.07, -0.05, 0.07, 0.34, 0.56, 0.48, 0.38, 
##     0.51, 0.31, 0.16, 0.28, 0.43, 0.57, 0.36, 0.26, 0.38, 0.48, 
##     0.16, -0.05, -0.07, -0.07, -0.03, -0.03, -0.2, -0.26, -0.28, 
##     -0.31, -0.36, -0.39, -0.46, -0.52, -0.56, -0.49, -0.33, -0.28, 
##     -0.25, -0.2, -0.02, 0.03, -0.02, -0.1, -0.41, -0.36, -0.2, 
##     -0.16, -0.1, -0.26, -0.26, -0.23, 0.18, 0.2, 0.08, -0.03, 
##     -0.13, 0, 0.03, 0.33, 0.38, 0.52, 0.49, 0.61, 0.67, 0.52, 
##     0.1, -0.03, 0.05, 0.08, 0.07, 0.11, 0.26, 0.46, 0.39, 0.3, 
##     -0.02, -0.28, -0.16, -0.07, 0.07, -0.3, -0.28, -0.26, -0.39, 
##     -0.43, -0.21, -0.25, -0.31, -0.2, -0.11, -0.03, 0.03, 0.03, 
##     -0.05, -0.11, -0.13, -0.21, -0.16, -0.15, -0.18, -0.18, -0.05, 
##     0.08, 0.18, 0.15, -0.26, -0.23, -0.21, -0.25, -0.25, -0.23, 
##     -0.23, -0.21, -0.13, 0.16, 0.15, -0.18, 0.08, 0.36, 0.52, 
##     0.36, 0.21, 0.61, 0.62, 0.49, 0.23, 0.05, -0.13, 0.11, 0.02, 
##     -0.21, -0.31, -0.38, -0.39, -0.26, -0.26, -0.3, -0.43, -0.43, 
##     -0.31, -0.11, 0.07, 0.05, 0.26, 0.21, 0.25, 0.51, 0.31, 0.15, 
##     -0.18, -0.43, 0.49, 0.82, 0.28, -0.02, -0.25, -0.25, -0.1, 
##     -0.02, 0.02, 0.02, -0.05, -0.26, -0.36, -0.21, 0.31, -0.25, 
##     -0.2, -0.43, -0.79, -1.07, -0.54, 0.05, 0.23, 0.3, 0.15, 
##     -0.03, -0.31, -0.31, -0.26, -0.18, -0.1, -0.13, 0.08, -0.02, 
##     -0.07, -0.13, 0.02, -0.41, -0.77, -1.03, -0.87, -0.67, 1.03, 
##     0.85, -0.08, -0.38, -0.26, 0.1, 0.97, 0.97, 0.57, 0.44, 0.38, 
##     0.36, 0.3, 0.25, -0.08, -0.11, 0.13, 0.33, 0.82, 0.84, 0.64, 
##     0.33, 0.02, -0.1, -0.02, 0.13, 0.16, 0.1, 0.05, 0.13, -0.16, 
##     -0.2, 0.05, 0.02, -0.02, -0.03, 0.03, 0.16, 0.3, 0.31, 0, 
##     -0.07, -0.15, -0.2, 0.07, 0.18, 0.26, 0.64, 0.72, 0.79, 0.79, 
##     0.69, 0.54, 0.52, 0.57, 0.62, 0.66, 0.82, 0.85, 0.77, 0.59, 
##     0.34, 0.11, 0.08, 0.36, 0.43, 0.46, 0.77, 0.74, 0.62, 0.54, 
##     0.44, 0.33, 0.25, 0.16, -0.08, -0.08, -0.08, -0.11, -0.03, 
##     0.03, 0.02, 0.21, 0.33, 0.3, 0.15, -0.3, -0.34, -0.46, -0.44, 
##     -0.15, 0.03, 0.21, 0.38, 0.34, 0.25, 0.05, 0.07, 0.11, 0.18, 
##     0.21, 0.23, 0.31, 0.36, 0.41, 0.44, 0.49, 0.52, 0.62, 0.67, 
##     0.64, 0.56, 0.62, 0.71, -0.61, -0.75, -0.94, -1.07, -0.54, 
##     -0.39, -0.51, -0.31, -0.43, -0.46, -0.21, -0.08, 0.15, 0.3, 
##     0.57, 0.67, 0.82, 0.89, 0.94, 0.97, 0.92, 0.97, 0.97, 1.25, 
##     1.46, 1.57, 1.59, 1.54, 1.41, 1.2, 1.15, 1.08, 0.98, 0.72, 
##     0.75, 0.36, 0.3, 0.26, 0.28, 0.3, 0.3, 0.3, 0.31, 0.26, 0, 
##     -0.1, -0.56, -0.64, -0.66, -0.66, -0.56, -0.97, -1.12, -0.92, 
##     -0.75, -0.75, -0.74, -0.56, -0.31, -0.36, 0.11, 0.36, 0.11, 
##     -0.25, 0.23, 0.33, 0.41, 0.49, 0.57, 0.59, 0.66, 0.94, 1, 
##     1.02, 1.05, 1.1, 1.13, 1.1, 1.08, 1.1, 1.51, 1.49, 1.39, 
##     1.31, 1.26, 1.25, 1.2, 1.1, 0.89, 0.92, 0.74, 0.62, 0.51, 
##     0.21, 0.03, 0, -0.07, -0.25, -0.43, -0.62, -0.74, -0.66, 
##     -0.56, -0.61, -0.9, -0.92, -0.87, -0.57, -0.31, -0.49, -0.36, 
##     -0.54, -0.72, -0.41, -0.25, -0.13, 0.18, 0.28, 0.74, 0.79, 
##     0.75, 0.75, 0.79, 0.79, 0.74, 0.64, 0.66, 0.84, 0.95, 1.07, 
##     1.07, 1.15, 1.25, 1.15, 1.15, 1.1, 0.94, 0.84, 0.67, 0.66, 
##     0.59, 0.51, 0.41, 0.25, -0.02, -0.74, -0.72, -0.8, -0.38, 
##     -0.57, -0.87, -0.9, -0.94, -1.23, -0.98, -0.8, -0.79, -0.72, 
##     -0.56, -0.43, -0.46, -0.44, -0.41, -0.34, -0.23, -0.16, -0.21, 
##     -0.15, 0.07, 0.13, 0.11, 0, 0.02, 0.38, 0.52, 0.87, 0.98, 
##     1.1, 1.44, 1.38, 1.33, 1.3, 1.18, 1.2, 1.12, 1.02, 0.98, 
##     0.72, 0.62, 0.48, 0.43, 0.52, 0.48, 0.23, -0.11, -0.21, -0.16, 
##     -0.31, -0.8, -0.62, -0.75, -0.79, -0.84, -1.08, -0.59, -0.56, 
##     -0.36, -0.34, -0.25, -0.2, -0.23, -0.26, -0.11, -0.03, 0.03, 
##     0.11, 0.18, 0.25, 0.46, 0.57, 0.69, 1.05, 1.1, 1.28, 1.13, 
##     1.2, 1.3, 1.3, 1.31, 1.33, 1.2, 1.21, 1.26, 1.18, 1.07, 1, 
##     0.74, 0.66, 0.61, 0.52, 0.38, 0.16, 0.26, 0, 0.03, 0.11, 
##     0.1, -0.02, -0.38, -0.48, -0.79, -0.71, -0.85, -0.85, -0.85, 
##     -0.92, -1.03, -1, -0.82, -0.64, -0.46, -0.21, -0.69, -0.62, 
##     -0.89, -0.72, -0.44, 0.2, 0.38, 0.56, 0.69, 0.79, 0.9, 0.87, 
##     0.72, 0.75, 0.8, 0.85, 0.94, 1.21, 1.36, 1.57, 1.72, 1.66, 
##     1.66, 1.62, 1.38, 1.33, 1.23, 1.13, 1.05, 0.97, 0.87, 0.79, 
##     0.85, 0.98, -0.18, -0.36, -0.59, -0.72, -0.57, -0.49, -0.67, 
##     -0.9, -0.61, -0.59, -0.57, -0.77, -0.92, -1.07, -0.97, -0.9, 
##     -0.87, -0.85, -0.71, -0.64, -0.3, -0.23, -0.15, 0.02, 0.15, 
##     0.16, 0.28, 0.26, 0.44, 0.51, 0.77, 0.87, 1.02, -0.15, -0.16, 
##     -0.34, -0.64, -0.61, -1, -0.62, -0.74, -0.84, -0.94, -0.79, 
##     -0.41, -0.33, -0.15, -0.1, 0.03, 0.08, 0, -0.2, -0.36, 0.07, 
##     0.16, 0.34, 0.39, 0.3, 0.23, 0.44, 0.46, 0.69, 0.67, 0.9, 
##     0.44, 0.34, 0.48, 0.31, 0.03, -0.2, -0.39, -0.57, -0.51, 
##     -0.28, -0.67, -0.75, -0.9, -0.72, -0.51, -0.23, -0.15, -0.11, 
##     -0.25, -0.44, -0.51, -0.43, -0.39, -0.39, -0.31, -0.13, -0.02, 
##     0.2, 0.13, 0.15, 0.49, 0.77, 0.84, 0.8, 0.89, 0.87, 0.85, 
##     0.79, 0.79, 0.9, 0.97, 0.75, 0.07, -0.16, 0.05, 0.15, 0, 
##     -0.1, -0.16, -0.13, -0.08, -0.07, -0.16, -0.13, -0.11, -0.05, 
##     -0.02, -0.03, 0, -0.02, -0.02, 0, 0.02, 0.05, 0, 0, 0, -0.02, 
##     -0.02, -0.05, -0.08, -0.11, -0.11, -0.1, -0.1, -0.1, -0.1, 
##     -0.03, -0.21, -0.33, -0.38, -0.33, -0.34, -0.44, -0.66, -0.62, 
##     -0.51, -0.48, -0.56, -0.62, -0.62, -0.59, -0.59, -0.67, -0.62, 
##     -0.52, -0.51, -0.48, -0.41, -0.33, -0.57, -0.71, -0.74, -0.66, 
##     -0.44, -0.2, 0.05, 0.34, 0.46, 0.48, 0.46, 0.57, 0.54, 0.48, 
##     0.43, 0.59, 0.67, 0.64, 0.94, 0.92, 0.2, 0.07, -0.05, -0.36, 
##     -0.31, -0.31, -0.39, -0.49, -0.41, -0.39, -0.57, -0.61, -0.61, 
##     -0.51, -0.43, -0.39, -0.38, -0.3, -0.2, 0.44, 0.48, 0.39, 
##     0.36, 0.49, 0.64, 0.46, 0.57, 0.49, 0.54, 0.74, 0.85, 1, 
##     0.9, 0.74, -0.05, -0.02, -0.03, -0.03, -0.05, -0.49, -0.51, 
##     -0.46, -0.39, -0.39, -0.38, -0.43, -0.39, -0.57, -0.52, -0.31, 
##     -0.26, -0.41, -0.46, -0.48, -0.44, -0.16, 0.26, 0.39, 0.41, 
##     0.36, 0.33, 0.28, 0.56, 0.77, 0.82, 0.85, 0.84, 0.98, 0.97, 
##     0.72, 0.54, 0.38, 0.31, 0.34, 0.26, 0.03, -0.26, -0.34, -0.41, 
##     -0.49, -0.51, -0.51, -0.56, -0.46, -0.46, -0.44, -0.39, -0.52, 
##     -0.56, -0.64, -0.41, -0.16, -0.43, -0.75, -0.25, 0.28, 0.48, 
##     0.28, 0.13, 0.18, -0.77, -0.87, -0.89, -0.9, -0.94, -1.07, 
##     -1.21, -0.87, -0.74, -0.56, -0.43, -0.46, -0.51, -0.52, -0.61, 
##     -0.18, 0.15, 0.51, 0.44, 0.28, 0.44, 0.41, 0.67, 0.75, 0.67, 
##     0.59, 0.64, 0.57, 0.94, 0.9, 0.75, 0.25, 0.18, 0.11, 0.1, 
##     0.08, -0.2, -0.38, -0.38, -0.49, -0.51, -0.51, -0.38, -0.31, 
##     -0.31, -0.54, -0.48, -0.52, -0.51, -0.46, -0.36, 0.13, 0.28, 
##     0.34, 0.33, 0.03, 0.07, 0.03, -0.03, -0.3, -0.43, -0.87, 
##     -0.82, -0.39, -0.44, -0.44, -0.39, -0.36, -0.28, -0.02, 0.33, 
##     0.56, 0.51, 0.49, 0.13, 0.34, 0.56, 0.87, 0.75, 0.79, 0.2, 
##     0.05, -0.03, -0.02, 0.11, -0.36, -0.46, -0.46, -0.51, -0.52, 
##     -0.67, -0.74, -0.25, -0.05, 0, -0.03, -0.33, -0.03, 0.56, 
##     0.43, 0.31, 0.11, 0.21, 0.39, 0.77, 0.49, 0.34, 0.46, 0.56, 
##     1.13, 0.74, 0.56, -0.25, -0.54, -0.38, 0.05, 0.2, 0.1, 0, 
##     -0.34, -0.52, -0.41, -0.34, -0.34, -0.26, -0.26, -0.1, -0.1, 
##     0.02, 0.1, -1.1, -1.3, -1.23, -0.89, 1, 0.18, 0.07, 0.11, 
##     0.31, 0.13, 0.21, 0.97, 1.33, -0.16, -0.28, -0.3, -0.13, 
##     0.25, 0.16, 0, -0.41, -0.49, -0.66, 0.1, 0.2, 0.28, 0.28, 
##     0.11, -0.1, -0.23, -0.15, -0.48, -0.56, -0.71, -0.57, -0.07, 
##     -0.13, -0.39, -0.74, -0.74, -0.74, -0.74, -0.71, -0.74, -0.82, 
##     -0.95, -1.07, -0.98, -0.75, 0, -0.02, 0.28, 0.28, 0.28, 0.52, 
##     0.38, 0.03, -0.15, -1.05, -1.57, -1.39, -0.2, 0.66, 0.82, 
##     0.8, 0.28, 0.18, -0.11, 0.36, 0.15, 0.15, 0.51, 0.39, 0.15, 
##     0.39, 0.36, 0.75, 0.57, 0.56, -0.16, 0.13, 0.13, -0.02, -0.16, 
##     -0.52, -0.46, -0.13, 0.05, -0.02, -0.23, -0.38, -0.79, -0.46, 
##     -0.25, -0.13, -0.38, -0.26, -0.26, -0.08, 0.13, 0.16, 0.23, 
##     0.05, 0.16, 0.48, 0.72, 0.48, 0.26, 0.56, 0.77, 0.46, 0.23, 
##     0.33, 0.33, 0.3, 0, -0.11, -0.18, -0.11, -0.07, -0.34, -0.15, 
##     -0.03, 0.05, 0.15, 0.13, 0.15, 0.02, -0.18, -0.18, -0.18, 
##     -0.18, -0.18, -0.31, -0.43, -0.43, 0.08, 0.39, 0.36, 0.26, 
##     -0.05, -0.13, 0.16, 0.34, 0.03, 0.31, 0.39, 0.21, 0.16, 0.15, 
##     0.13, 0.07, -0.05, -0.07, -0.07, -0.13, -0.61, -0.69, -0.64, 
##     0, 0, 0.3, -0.64, -0.38, -0.08, 0.21, 0.43, 0.46, 0.3, 0.07, 
##     0.05, 0.03, -0.1, 0.21, 0.51, 0.51, 0.69, 0.82, 0.43, -0.05, 
##     0.1, 0.25, 0.3, 0.25, 0.33, 0.28, 0.11, 0, -0.2, -0.33, -0.33, 
##     -0.34, -0.43, -0.57, -1.33, -1.07, -0.92, -0.75, -0.43, -0.18, 
##     -0.02, -0.11, 0.08, -0.03, -0.02, -0.03, -0.08, -0.1, -0.08, 
##     -0.05, -0.03, 0.02, 0.02, 0.03, 0.03, 0.02, -0.08, -0.1, 
##     -0.1, -0.08, 0.1, -0.02, -0.08, -0.11, 0.05, -0.21, -0.15, 
##     -0.1, -0.08, -0.1, -0.1, -0.1, -0.1, -0.07, -0.02, 0.05, 
##     0, -0.02, -0.03, -0.05, -0.03, -0.03, 0.02, 0.05, -0.02, 
##     -0.02, -0.11, -0.1, -0.1, 0.08, 0.05, -0.03, -0.08, 0.05, 
##     0.08, 0.05, 0.03, -0.03, -0.07, -0.02, 0, 0.03, 0.07, 0.03, 
##     -0.1, -0.08, 0, 0.08, -0.03, 0.02, 0.02, -0.02, -0.05, -0.02, 
##     0.02, 0.02, 0, -0.05, -0.1, -0.05, 0.05, 0.02, -0.05, -0.07, 
##     0, -0.02, -0.02, 0, 0.02, 0.03, 0.05, 0.02, 0.1, 0.08, 0.03, 
##     -0.02, -0.02, -0.03, -0.02, -0.03, 0.1, 0.1, 0.08, 0.1, 0.08, 
##     0.02, -0.02, 0, 0.05, 0.08, 0.08, 0.08, 0.03, -0.05, -0.1, 
##     -0.11, -0.08, -0.02, -0.03, -0.13, -0.23, -0.41, 0.41, 0.49, 
##     0.49, 0.49, 0.49, 0.39, 0.25, 0.13, 0.13, 0.03, 0.13, -0.02, 
##     0.02, -0.03, -0.05, -0.07, -0.02, 0, -0.02, 0, 0, -0.02, 
##     -0.08, -0.08, -0.03, -0.02, 0, 0.02, -0.07, -0.02, -0.02, 
##     0.02, 0.98, 1.03, 0.71, 0.59, 0.56, 0.67, 0.87, 1.13, 1.08, 
##     1.03, 0.97, 0.8, 0.59, 0.51, 0.61, 0.67, 0.85, 0.8, 0.67, 
##     0.61, 0.34, 0.46, 0.66, 0.71, 0.51, 0.38, 1.07, 1.13, 1, 
##     0.97, 0.87, 0.87, 0.79, 1.38, 0.92, 0.67, 0.39, 0.51, 0.57, 
##     0.61, 0.95, 0, 0.02, 0.43, 0.54, 0.49, 0.36, -0.21, -0.02, 
##     0.13, 0.28, 0.39, 0.15, 0.03, 0.46, 0.59, 0.62, 0.51, 0.25, 
##     0.3, 0.36, 0.64, 0.46, 0.43, 0.46, 0.56, 0.66, 0.79, 0.87, 
##     0.9, 0.79, 0.75, 0.69, 0.71, 0.77, 0.85, 0.54, 0.51, 0.52, 
##     0.56, 0.64, 0.75, 0.89, 0.49, 0.39, -0.08, -0.03, -0.07, 
##     -0.18, -0.25, -0.2, -0.13, -0.03, 0.1, 0.21, 0.28, 0.36, 
##     0.34, 0.26, 0.03, -0.02, 0.28, 0.48, 0.71, 0.71, 0.72, 0.75, 
##     0.87, 0.98, 1.02, 0.94, 0.8, 0.67, 0.52, 0.44, 0.44, 0.51, 
##     0.66, 0.74, 0.84, 1.31, 1.41, 0.92, 0.66, 0.41, 0.08, 0.44, 
##     0.71, 0.34, 0.3, 0.79, 0.77, 0.66, 0.52, 0.44, 0.39, 0.34, 
##     0.26, -0.02, -0.41, -0.3, 0.02, 0.39, 0.41, 0.23, 0.07, -0.1, 
##     -0.26, 0.02, 0.25, 0.43, 0.56, 0.66, 0.72, 0.74, 0.71, 0.67, 
##     0.66, 0.64, 0.49, 0.51, 0.54, 0.57, 0.59, 0.61, 0.59, 0.61, 
##     0.59, 0.57, 0.51, 0.43, 0.54, 0.57, 0.57, 0.52, 0.51, 0.26, 
##     0.23, 0.34, 0.33, 0.51, 0.49, 0.51, 0.46, 0.51, 0.74, 0.77, 
##     1, 1.23, 1.44, 1.28, 0.94, 0.92, 0.94, 0.98, 1.03, 1.15, 
##     0.98, 0.85, 0.67, 0.64, 0.59, 0.56, 0.59, 0.59, 0.54, 0.49, 
##     0.43, 0.33, 0.21, 0.05, 0.05, 0.08, -0.85, -1.18, -1.35, 
##     -1.3, -0.08, 0.52, 0.44, 0.43, 0.39, 0.31, 0.34, 0.52, 0.54, 
##     0.51, 0.54, 0.44, 0.46, 0.48, 0.52, 0.59, 0.64, 0.92, 1.08, 
##     1.31, 1.31, 1.38, 1.02, 1.13, 1.21, 1.31, 1.51, 1.53, 1.35, 
##     1.21, 1.1, 0.89, 0.71, 0.74, 0.79, 0.54, 0.44, 0.89, 0.84, 
##     0.36, 0.08, -0.15, -0.23, -0.31, -0.03, 0.31, 0.54, 0.66, 
##     0.34, 0.1, -0.08, 0, 0, -0.02, 0.15, 0.31, 0.2, 0.21, 0.16, 
##     0.08, 0.13, 0.57, 0.51, 0.43, 0.36, 0.28, 0.23, 0.26, 0.64, 
##     0.87, 0.97, 0.92, 0.77, 0.74, 0.85, 1.13, 1.3, 1.59, 1.41, 
##     1.25, 1.05, 0.41, 0.28, 0.75, 0.56, 0.3, 0.33, 0.38, -0.21, 
##     -0.23, -0.08, 0.13, 0.39, 0.61, 0.71, 0.41, 0.16, -0.23, 
##     -0.13, -0.07, -0.03, 0.02, 0.05, 0.08, 0.11, 0.16, 0.18, 
##     0.11, 0.89, 0.94, 0.95, 0.85, 0.84, 0.67, 0.61, 1.2, 1.07, 
##     0.33, 0.28, 0.61, 0.56, 0.51, 0.36, 0.15, 0.18, 0.26, 0.25, 
##     0.23, 0.25, 0.25, 0.26, 0.41, 0.57, 0.67, 0.71, 0.62, 0.52, 
##     0.49, 0.49, 0.36, 0.64, 0.62, 0.97, 1, 0.95, 1.08, 1.15, 
##     0.98, 0.77, 0.98, 0.44, 0.54, 0.61, 0.89, 0.64, 0.39, 0.16, 
##     -0.02, -0.36, -0.34, -0.43, -0.43, -0.08, 0.03, 0.08, -0.31, 
##     -0.46, -0.2, -0.15, 0, 0.79, 0.84, 0.64, 0.48, 0.44, 0.46, 
##     0.59, 0.64, 0.56, 0.52, 0.51, 0.51, 0.51, 0.51, 0.54, 0.56, 
##     0.59, 0.66, 0.66, 0.57, 0.56, 0.56, 0.54, 0.28, 0.36, 0.43, 
##     0.49, 0.57, 0.49, 0.44, 0.39, 0.34, 0.31, 0.33, 0.46, 0.66, 
##     0.61, 0.59, 0.64, 0.72, 0.77, 0.85, 0.82, 0.77, 0.75, 0.71, 
##     0.69, 0.67, 0.82, 0.9, 0.95, 0.74, 0.48, 0.41, 0.44, 0.52, 
##     0.64, 0.49, 0.39, 0.85, 0.92, 0.82, 0.74, 0.67, 0.59, 0.05, 
##     0.03, 0, -0.03, 1.43, 1.02, 0.69, 0.07, 0.67, 0.34, 0.33, 
##     0.34, 0.38, 0.39, 0.41, 0.43, 0.25, 0.44, 0.8, 0.72, 0.21, 
##     0.03, -0.52, -0.54, -0.38, -0.11, 0.49, 0.54, 0.43, 0.28, 
##     0.15, 0.11, 0.13, 0.15, 0.15, 0.33, -0.05, -0.1, -0.02, 0.2, 
##     0.51, 0.8, 1.13, 1.08, 0.67, 0.69, 0.46, 0.41, 0.51, 0.41, 
##     0.31, 0.13, 0.08, 0.11, 0.16, 0.26, 0.77, 0.54, 0.2, 0.16, 
##     0.31, 0.44, 0.56, -0.61, -0.16, 0.56, 0.72, -0.61, -0.94, 
##     -0.85, -0.08, -0.16, -0.15, -0.28, -0.21, 0.08, 0.03, -0.02, 
##     0.13, 0.3, 0.51, 0.02, -0.11, -0.23, -0.23, 0, 0.25, 0.13, 
##     -0.08, -0.25, -0.03, -0.11, -0.05, -0.03, -0.11, -0.26, -0.41, 
##     -0.56, -0.54, -0.52, -0.52, -0.52, -0.48, -0.38, -0.41, -0.57, 
##     -0.56, -0.59, -0.56, -0.57, -0.62, -0.59, -0.67, -0.49, -0.07, 
##     -1.18, -1, 0.3, 0.02, -0.16, -0.34, -0.05, 0.54, 0.28, 0.2, 
##     0.07, 0.05, 0.57, 0.69, 0.77, 0.71, 0.59, 0.46, 0.08, 0.02, 
##     -0.07, -0.08, -0.08, 0.07, 0.25, 0.03, -0.28, -0.57, -0.41, 
##     -0.15, 0, 0.18, 0.34, 0.43, -0.03, -0.1, -0.16, -0.39, -0.36, 
##     0.43, -0.03, -0.49, -0.84, -0.95, -0.74, -0.31, -0.21, -0.23, 
##     -0.18, -0.05, -0.15, -0.15, 0.2, 0.23, 0.21, -0.07, -0.2, 
##     -0.25, -0.26, -0.3, -0.3, -0.1, 0.3, 0.33, 0.03, -0.21, -0.18, 
##     0, 0.13, -0.15, -0.11, -0.08, -0.08, -0.1, -0.08, -0.39, 
##     -0.39, 0.64, 0.59, -0.08, -0.41, -0.74, -1, -1.13, -1.08, 
##     -0.77, -0.54, -0.33, -0.21, -0.21, 0.02, 0.07, 0.05, 0, -0.13, 
##     -0.18, -0.2, -0.16, -0.39, -0.34, -0.21, -0.08, 0.41, 0.13, 
##     -0.16, -0.16, -0.16, -0.13, -0.02, 0.18, 0.33, 0.41, 0.3, 
##     0.03, -0.48, -0.8, -0.75, -0.59, -0.41, -0.34, -0.16, 0, 
##     0.11, 0.1, 0.07, 0.15, 0.07, 0, 0.05, 0.13, 0.18, 0.2, 0.15, 
##     0.07, -0.08, -0.31, -0.57, -0.98, -0.69, 0.36, 0.56, 0.57, 
##     -0.36, -0.46, -0.48, -0.21, 0.05, 0.05, 0.07, 0.03, -0.56, 
##     -0.56, -0.39, -0.25, -0.13, -0.1, -0.08, -0.07, -0.05, -0.03, 
##     -0.08, -0.15, -0.31, -0.52, -0.08, 0.23, 0.28, 0.3, 0.28, 
##     0.16, 0.11, 0.07, 0.11, 0.03, 0.1, 0.18, 0.15, -0.05, -0.33, 
##     -0.46, 0.08, 0.31, 0.67, 0.54, -0.07, -0.54, -0.44, -0.28, 
##     -0.16, -0.1, 0.07, 0.1, -0.08, 0.02, 0.51, 0.57, -0.51, 0.52, 
##     0.33, 0.2, 0.03, 0.13, 0.34, 0.49, 0.33, 0.18, 0.13, 0.08, 
##     -0.15, 0.07, 0.16, 0.36, 0.48, 0.36, 0.13, 0.05, 0.41, 0.16, 
##     0.03, -0.11, -0.26, -0.03, 0, -0.2, -0.21, 0.03, 0.34, 0.16, 
##     0.07, -0.07, -0.39, -0.43, -0.33, 0.16, 0.34, 0.44, 0.1, 
##     -0.16, -0.08, 0.31, 0.59, 1.3, 1.21, 0.94, 0.1, 0.67, 0.57, 
##     0.02, -0.21, 0.13, 0.34, 0.59, 0.79, 0.51, 0.02, -0.28, -0.3, 
##     -0.26, -0.16, 0.2, 0.33, 0.38, 0.05, -0.05, -0.1, -0.15, 
##     -0.39, -0.34, -0.13, 0.08, 0.3, 0.36, 0.26, 0.13, 0.33, 0.3, 
##     0.28, 0.36, 0.25, 0.2, 0.23, 0.1, 0.23, 0.44, 0.36, 0.23, 
##     0.1, 0.02, 0.23, 0.16, 0.05, -0.11, -0.2, -0.11, -0.07, -0.1, 
##     -0.08, -0.05, 0.03, 0.05, 0.03, -0.08, -0.1, 0.07, 0.05, 
##     0.02, 0, -0.05, -0.08, -0.1, -0.07, -0.07, -0.07, -0.15, 
##     0.18, 0.64, 0.69, 0.69, 0.56, 0.23, 0.43, 0.33, 0.79, 0.92, 
##     0.8, 0.89, 0.82, 0.28, 0, -0.18, -0.15, -0.03, -0.11, -0.25, 
##     0.74, 0.66, 0.57, 0.41, 0.34, 0.46, 0.72, 0.9, 0.9, 0.56, 
##     0.44, 0.57, 0.71, 0.89, 0.87, -0.44, -0.26, -0.11, 0.07, 
##     -0.61, -0.26, -0.26, -0.26, -0.28, -0.74, -1.07, -0.72, -0.41, 
##     -0.41, -0.02, -0.02, -0.02, 0.82, 0.56, 0.48, 0.52, 0.43, 
##     0.72, 0.54, 0.52, 0.71, 0.89, 0.82, 0.71, 0.11, -0.08, -0.11, 
##     1.12, 1.43, 1.44, 1.46, 0.74, 0.51, 0.51, 0.66, 0.79, 0.56, 
##     0.26, 0, -0.13, -0.13, -0.38, -0.54, -0.77, -0.44, -0.94, 
##     -0.49, -0.52, -0.56, -0.39, -0.28, -0.38, -0.16, -0.3, -0.48, 
##     -0.51, -0.33, -0.16, -0.08, 0.16, 0.38, 0.49, 0.62, 0.85, 
##     0.92, 1, 1.08, 0.97, 0.9, 0.89, 0.9, 0.95, 0.61, 0.59, 0.62, 
##     0.72, 0.74, 0.82, 0.92, 1.1, 1.12, 1.05, 0.92, 0.8, 0.34, 
##     0.33, 0.41, 0.43, 0.31, 0.26, 0.41, 0.79, 0.72, 0.69, 0.39, 
##     0.26, 0.08, 0.03, -0.03, -0.16, -0.21, -0.31, -0.44, -0.54, 
##     -0.39, -0.56, -1, -0.64, -0.95, -0.89, -0.67, -0.62, -0.66, 
##     -0.38, -0.52, -0.72, -0.46, -0.41, -0.44, -0.41, -0.3, -0.26, 
##     0.16, 0.33, 0.38, 0.57, 0.64, 0.59, 0.57, 0.9, 0.94, 1.08, 
##     1.05, 0.97, 0.94, 0.92, 0.84, 0.74, 0.72, 0.71, 0.74, 0.84, 
##     0.72, 0.71, 0.72, 0.41, 0.43, 0.74, 0.67, 0.28, -0.07, -0.03, 
##     -0.02, -0.07, -0.1, -0.54, -0.46, -0.41, -0.44, -0.56, -0.8, 
##     -0.87, -0.82, 0, 0.25, 0.61, 0.39, 0.33, 0.54, 0.43, 0.57, 
##     0.38, 0.61, 0.39, 0.38, 0.54, 0.71, 0.8, 0.33, 0.23, 0.25, 
##     -0.36, -0.16, 0.28, 0.08, 0.21, 0.39, 0.39, 0.23, 0.51, 0.51, 
##     0.64, 0.57, 0.46, 0.67, 0.66, 0.26, 0.13, 0.18, 0.1, 0, -0.1, 
##     -0.21, -0.05, -0.15, -0.16, -0.28, -0.25, -0.25, -0.3, -0.48, 
##     -0.49, -0.41, -0.44, -1.02, -1.08, -0.8, 0.95, -0.08, 0.16, 
##     0.15, 0.1, -0.05, -0.16, 0.05, 0.02, -0.05, -0.03, 0.07, 
##     0.1, 0.25, 0.33, 0.25, 0.05, 0, 0.15, 0.31, 0.2, 0.26, 0.34, 
##     0.34, 0.18, -0.25, -0.2, -0.11, -0.26, -0.28, -0.33, -0.51, 
##     -0.41, -0.2, 0.02, 0.34, 0.41, 0.39, 0.39, 0.36, 0.16, 0.08, 
##     0.11, 0.18, 0.21, 0.3, 0.49, 0.64, 0.72, 0.74, 0.71, 0.56, 
##     0.13, 0.05, -0.02, 0.3, 0.49, 0.71, 0.67, 0.66, 0.75, 0.82, 
##     0.71, 0.74, 0.84, 0.74, 0.84, 0.89, 0.9, -0.05, -0.33, -0.34, 
##     -0.41, -0.48, -0.52, -0.46, -0.54, -0.64, -0.67, -0.72, -0.79, 
##     -0.82, -0.84, -0.87, -0.87, 0.31, 0.28, 0.26, 0.33, 0.39, 
##     0.2, -0.36, -0.43, -0.49, -1.07, -1.05, -0.98, -0.9, -0.85, 
##     -0.98, -1.21, -0.49, -0.21, -0.13, -0.39, -0.52, -0.28, 0.33, 
##     0.44, 0.34, 0.15, 0.05, 0.05, 0.02, 0.03, 0.31, 0.34, 0.38, 
##     0.43, 0.49, -0.02, -0.02, -0.03, 0.21, 0.44, 0.48, 0.44, 
##     0.56, 0.85, 1.44, 1.62, 1.64, 1.48, 1.18, 1.18, 1.15, 1.02, 
##     0.95, 1.02, 1.46, 1.64, 1.79, 2.25, 2.26, 1.76, 1.43, 1.3, 
##     1.31, 1.03, 0.77, 0.31, 0.44, 0.74, 1.71, 1.51, 1, 0.79, 
##     0.54, 0.34, 0.44, 0.43, 0.38, -0.08, -0.13, -0.03, -0.08, 
##     -0.2, -0.34, -0.39, -0.44, -0.44, -0.51, -0.59, -0.26, -0.8, 
##     -0.98, -0.46, 0, 0.15, 0.25, 0.34, 0.36, 0.3, 0.23, 0.2, 
##     0.21, 0.31, 0.67, 0.72, 0.74, 0.72, 0.92, 1, 1.07, 1.23, 
##     1.35, 1.02, 0.71, 0.92, 1.31, 1.54, 1.49, 1.26, 1.25, 1.26, 
##     1.64, 1.84, 1.87, 1.59, 1.41, 1.43, 1.43, 1.25, 1.26, 1.12, 
##     1.08, 1.07, 1.02, 0.66, 0.03, -0.25, -0.25, -0.1, 0.13, 0.18, 
##     -0.2, -0.49, -0.64, -0.66, -0.64, -0.54, -0.36, -0.26, -0.18, 
##     -0.38, -0.59, -0.62, -0.64, -0.74, -0.9, -1.05, -1.07, -0.97, 
##     -0.62, -0.39, -0.2, -0.03, 0.16, 0.15, 0.33, 0.52, 1.1, 1.18, 
##     1.26, 1.07, 1.02, 1.15, 1.2, 1.57, 1.71, 1.79, 1.79, 1.2, 
##     0.75, 0.3, 0.38, -0.07, -0.16, -0.39, -0.44, -0.34, -0.18, 
##     -0.18, -0.1, 0.57, 0.9, 0.97, 1.18, 1.03, 0.95, 0.9, 0.66, 
##     0.43, 0.21, 0.11, 0.05, -0.03, 0.07, 0.13, 0.03, 0, -0.13, 
##     -0.13, -0.08, -0.11, -0.13, -0.1, -0.05, -0.03, -0.07, -0.1, 
##     -0.08, -0.07, 0, -0.02, -0.02, -0.03, -0.02, -0.03, -0.03, 
##     -0.05, -0.02, 0.02, 0, 0.03, 0.05, 0.02, 0, -0.1, -0.1, -0.08, 
##     -0.25, -0.31, -0.31, -0.31, -0.38, -0.48, -0.34, -0.38, -0.43, 
##     -0.48, -0.71, -0.82, -0.8, -0.61, -0.51, -0.57, -0.54, -0.71, 
##     -0.92, -1.07, -0.85, -0.8, -0.77, -0.72, -0.69, -0.69, -0.75, 
##     -0.9, -1, -1.12, -1.12, -0.66, -0.34, 0.05, 0.39, 0.49, -0.07, 
##     -0.11, -0.08, 0.05, 0.15, 0.28, 0.49, 0.57, 0.9, 1.12, 1.21, 
##     1.48, 1.64, 0.85, 0.51, 0.71, 0.92, 1.15, 1.57, 1.53, 1.62, 
##     1.74, 1.67, 1.48, 0.89, 0.54, -0.02, -0.39, -0.31, -0.16, 
##     -0.02, 0.05, -0.05, -0.13, -0.36, -0.49, -0.59, -0.67, -0.75, 
##     -0.62, -0.75, -0.75, -0.97, -1, -1.05, -1.08, -0.85, -0.8, 
##     -0.69, -0.51, -0.39, -0.67, -1.13, -1.3, -0.13, 0.66, 0.8, 
##     0.66, 0.18, 0.02, 0.08, 0.28, 0.61, 0.84, 1.05, 1.33, 1.31, 
##     1.16, 1.15, 1.26, 1.28, 1.08, 0.97, 1, 0.89, 0.92, 0.95, 
##     1.03, 0.87, 0.59, 0.46, 0.51, 0.62, 0.59, 0.31, -0.03, -0.2, 
##     0.85, 0.82, 1.03, 0.94, 1.16, 1, 0.84, 0.72, 0.75, 0.77, 
##     0.59, 1, 0.8, 0.9, 1.28, 1.1, -0.3, -0.33, -0.44, -0.46, 
##     -0.39, -0.51, -0.97, -1.33, -1.12, -0.94, -0.82, -0.74, -0.77, 
##     0.43, 0.82, 0.79, 0.39, 0.13, 0.49, 0.79, 0.84, 0.8, 1.15, 
##     1.15, 1.28, 1.59, 1.35, 1.26, 0.9, 0.92, 0.95, 0.87, 0.89, 
##     1, 1.02, 0.87, 0.69, 0.52, 0.34, 0.08, -0.41, -0.51, -0.38, 
##     -0.51, -0.54, -0.57, -0.61, -0.64, -0.61, -0.64, -0.61, -0.59, 
##     -0.62, -0.61, -0.89, -1.12, -1.16, -1.2, -1.2, -1.16, -0.62, 
##     0.36, 0.87, 0.72, 0.41, 0.64, 1.1, 1.2, 1.26, 1.36, 1.51, 
##     1.67, 1.72, -1.54, -1.44, -1.3, -1.05, -0.72, -0.74, -0.8, 
##     -0.9, -1.02, -1.2, -1.38, -1.46, -1, 0.44, 0.56, 0.64, 0.62, 
##     0.64, 0.69, 0.84, 0.95, 0.95, 0.94, 0.97, 0.94, 0.97, 1, 
##     1.12, 1.1, 0.95, 0.85, 0.92, 0.97, 0.75, 1.15, 1.26, 1.23, 
##     1.16, 1.16, 0.71, 0.2, 0.23, 0.16, 0.1, 0.1, 0.02, -0.3, 
##     -0.57, -0.69, -0.87, -1, -1.02, -1.08, -1.57, -1.62, -1.62, 
##     -1.62, -1.03, -1.02, -0.89, -0.72, 0.03, 0.26, 0.44, 0.8, 
##     0.92, 0.98, 1.05, 1, 1.07, 1.03, 0.62, 0.2, 0.3, 0.49, 1.71, 
##     2.17, 2.17, 2, 1.82, 0.03, -0.05, 0.03, 0.1, 0.08, 0, -0.44, 
##     -0.61, -0.71, -0.71, -0.8, -0.79, -0.79, -0.84, -0.9, -0.94, 
##     -1.02, -1.38, -1.51, -1.66, -1.1, -1.36, -1.26, -0.95, -0.52, 
##     0.89, 0.92, 0.85, 0.67, 0.62, 0.59, 0.84, 1.05, 1.21, 1.49, 
##     1.72, 1.51, 1.26, 1.25, 0.03, 0.15, 0.11, 0.46, 0.8, 0.9, 
##     1.15, 1.16, 0.97, 0.92, 1, 0.59, 0.52, 0.62, 0.1, -0.02, 
##     -0.67, -0.74, -0.84, -0.85, -0.77, -0.74, -0.67, -0.59, -0.52, 
##     -0.54, -0.57, -0.79, -1.28, -1.39, -0.94, -0.84, -1.66, -1.87, 
##     -1.51, -0.48, -0.07, 0.26, 0.52, 0.69, 0.84, 0.82, 0.79, 
##     0.72, 0.72, 0.71, 0.71, 0.74, 0.82, 0.92, 0.98, 1.13, 1.16, 
##     1.2, 1.23, 1.46, 1.49, 1.48, 1.08, 1.16, 1.23, 1.16, 0.95, 
##     0.39, 0.18, -0.08, -0.08, -0.1, -0.25, -0.33, -0.36, -0.34, 
##     -0.25, -0.13, -0.03, 0, -0.05, -0.07, -0.03, 0.07, 0.08, 
##     0.05, 0.02, 0.03, 0.05, 0.03, 0.03, 0.03, -0.02, -0.05, -0.1, 
##     -0.15, -0.31, -0.34, -0.3, -0.23, -0.28, -0.28, 0.05, 0.05, 
##     0.05, -0.1, -0.16, -0.28, -0.2, -0.13, 0.11, 0.15, 0.08, 
##     -0.02, -0.07, -0.11, -0.11, 0, 0.11, 0.26, 0.34, 0.31, 0.23, 
##     0.15, 0.03, -0.03, -0.08, -0.08, 0.02, 0.03, 0.05, -0.05, 
##     -0.05, -0.08, 0.44, 0.16, 0.52, 0.49, 0.28, 0, -0.05, -0.08, 
##     0, -0.07, -0.08, -0.13, -0.11, -0.08, -0.05, -0.13, -0.23, 
##     -0.23, -0.21, -0.18, -0.2, -0.57, -0.56, -0.77, -0.59, 0.26, 
##     0.41, 0.38, 0.54, 0.89, 0.79, 0.57, 0.61, 0.28, 0.18, 0.34, 
##     0.59, 0.71, -0.08, 0.25, 0.28, 0.21, 0.03, -0.15, -0.08, 
##     0.02, 0.1, 0.48, 0.43, 0.33, 0.25, 0.23, 0.23, 0.31, 0.34, 
##     0.11, -0.03, -0.23, -0.33, -0.52, -0.38, -0.3, -0.33, -0.48, 
##     -0.64, -0.74, 0.1, 0.05, -0.31, -0.62, -1.46, -1.8, -1.53, 
##     -1.35, 0.44, 1.07, 0.71, 0.59, 0.15, 0.74, 0.84, 1.15, 1.13, 
##     1.94, 1.82, 2.49, 1.79, 1.3, 1.1, 1.03, 0.92, 0.8, 0.46, 
##     0.62, 0.02, -0.13, 0.16, 0.43, 0.44, 0.34, 0, -0.26, -0.3, 
##     -0.41, -0.33, -0.33, -0.44, -0.36, -0.23, -0.75, -0.84, -0.89, 
##     -0.72, -0.95, -1.99, -2.28, -2.23, -2.15, -0.07, 1.18, 1.12, 
##     0.97, 0.85, 1.25, 1.76, 1.57, 1.59, 1.43, 1.25, 0.38, -0.13, 
##     -0.3, 0.16, 0.51, 0.13, -0.15, -0.11, -0.05, 0.03, 0.21, 
##     0.18, 0.02, -0.1, -0.25, -0.3, -0.31, -0.28, -0.26, -0.26, 
##     -0.26, -0.23, -0.18, -0.13, -0.03, 0.03, -0.3, -0.2, -0.1, 
##     -0.03, 0.07, 0.2, 0.44, 0.26, -0.62, 0.23, 0.1, -0.05, 0.15, 
##     0.59, 0.38, -0.48, -0.48, 0.15, 0.71, 1.16, 0.85, 0.64, 0.25, 
##     -0.15, -0.44, -0.38, -0.28, -0.36, -0.26, -0.18, -0.1, 0.1, 
##     0.25, 0.07, -0.13, -0.28, -0.51, -0.21, -0.15, -0.16, -0.41, 
##     -0.8, -0.61, -0.05, -0.16, -0.21, -0.16, -0.1, -0.28, -0.62, 
##     -0.62, -0.61, -0.33, -0.1, 0.08, 0.21, 0.31, 0.33, 0.28, 
##     -0.07, 0.02, 0.02, 0.02, 0, -0.05, -0.39, -0.07, -0.02, 0.1, 
##     0.15, 0.11, 0.07, 0.02, -0.28, 0.05, 0.15, 0.26, -0.03, -0.05, 
##     -0.13, -0.16, 0.02, -0.1, 0.1, 0.44, 0.44, 0.03, 0.07, 0.25, 
##     0.41, 0.28, 0.3, 0.26, -0.05, -0.03, 0.03, -0.13, -0.18, 
##     -0.26, -0.34, -0.36, -0.23, 0.1, 0.2, 0.11, -0.18, -0.07, 
##     0.08, 0.52, 0.44, 0.26, 0.03, -0.08, -0.31, -0.3, -0.13, 
##     0, 0.05, 0.03, 0.02, 0, 0.1, 0.1, 0.1, 0.08, 0.02, 0, -0.1, 
##     -0.28, -0.3, -0.3, -0.39, -0.54, -0.8, -0.95, -1.07, -1.05, 
##     -0.9, -0.72, -0.64, -0.69, -0.77, -0.8, -1.25, -1.21, -1.03, 
##     -0.84, -0.62, -0.1, -0.08, -0.03, -0.15, -0.31, -0.44, -0.41, 
##     -0.18, -0.11, -0.1, 0.03, 0.08, 0.11, 0.18, 0.3, 0.39, 0.39, 
##     0.36, 0.26, 0.25, 0.3, 0.36, 0.38, 0.34, 0.34, 0.33, 0.34, 
##     0.41, 0.34, 0.21, 0.34, 0.49, 0.57, 0.51, 0.39, 0.11, 0.08, 
##     0.1, 0.25, 0.28, 0.46, 0.28, -0.31, -0.26, -0.16, -0.11, 
##     0.03, 0.18, 0.2, 0.16, -0.18, -0.34, -0.66, -0.52, -0.28, 
##     -0.15, -0.79, -2.02, -1.33, -0.51, -0.23, -0.07, -0.07, -0.31, 
##     -0.48, -0.39, -0.21, -0.26, -0.36, -0.25, -0.28, -0.41, -0.43, 
##     -0.38, -0.36, -0.25, -0.21, -0.15, -0.11, -0.07, 0.03, 0.08, 
##     0.13, 0.28, 0.33, 0.41, 0.44, 0.52, 0.28, 0, 0.44, 0.49, 
##     0, 0.03, 0.23, 0.33, 0.59, 0.62, 0.43, 0.02, 0.46, 0.39, 
##     0.07, -0.07, -0.21, -0.18, -0.13, -0.07, 0, 0.07, 0.11, 0.1, 
##     -0.02, -0.1, -0.26, -0.39, -0.39, -0.34, -0.33, -0.41, -0.77, 
##     -0.95, -1.07, -1.1, -0.97, -0.94, -0.44, -0.2, 0.05, 0.08, 
##     -0.33, -0.05, -0.28, -0.02, -0.02, 0, 0.16, 0.23, 0.3, 0.28, 
##     0.23, 0.2, 0.16, 0.15, 0.23, 0.2, 0.2, 0.03, 0.03, -0.07, 
##     0.18, 0.46, 0.59, 0.48, 0.41, 0.39, 0.13, 0.1, 0.18, 0.39, 
##     0.54, 0.43, 0.61, 0.48, 0.18, -0.13, -0.21, -0.25, -0.11, 
##     -0.08, -0.02, 0.07, 0.07, 0, -0.15, -0.28, -0.59, -0.92, 
##     -1.03, -0.07, 0.13, 0.03, -0.38, -0.66, -0.89, -1.21, -1.44, 
##     -1.76, -2.07, -2.12, -1.31, -0.28, 0.23, 0.36, 0.3, 0.36, 
##     0.26, 0.13, 0.02, -0.08, -0.16, 0.21, 0.08, -0.18, -0.21, 
##     -0.26, 0.07, 0.16, 0.25, 0.28, 0.3, 0.3, 0.25, 0.46, 0.48, 
##     0.49, 0.52, 0.54, 0.44, 0.23, 0.03, -0.02, 0, -0.23, -0.2, 
##     0.26, 0.43, 0.69, 0.84, 0.54, -0.11, 0.11, 0.34, 0.49, 0.48, 
##     0.33, -0.1, -0.46, -0.56, -0.13, 0.02, 0.08, 0.11, 0.05, 
##     0.03, -0.2, -0.23, -0.1, 0.41, 0.69, -0.2, -0.51, -0.75, 
##     -1.05, -1.8, -0.46, -0.1, 0.11, 0.23, -0.1, -0.61, -0.43, 
##     -0.13, -0.05, -0.07, -0.11, -0.18, -0.23, -0.26, -0.31, -0.38, 
##     -0.28, 0.02, 0.02, 0.02, 0.03, 0.05, -0.02, -0.05, -0.02, 
##     0.07, 0.13, -0.41, 0.28, 0.43, 0.43, 0.28, 0.08, -0.34, -0.59, 
##     -0.9, -1.49, -1.56, -1.36, -0.46, 0.05, -0.34, -0.52, -0.46, 
##     -0.18, -0.11, -0.18, -0.3, -0.61, -0.74, -0.69, -0.59, -0.31, 
##     0.1, 0.3, 0.43, 0.52, 0.49, 0.07, -0.11, -0.16, -0.13, -0.02, 
##     0.26, 0.36, 0.26, 0, -0.02, -0.03, -0.03, 0.07, 0.13, 0.43, 
##     0.33, 0.39, -0.26, 0, 0.08, 0.28, 1.26, 1.23, 0.85, 0.49, 
##     0.08, -0.28, 0.16, 0.38, 0.39, 0.23, -0.02, -0.31, -0.82, 
##     -0.92, -0.94, -0.75, -1.16, -1.25, -1.21, -1.08, -0.9, -0.26, 
##     0, -0.28, -0.61, -0.85, -0.62, -0.26, 0.46, 0.39, 0.05, 0.08, 
##     0.15, 0.18, 0.16, 0.16, 0.21, 0.1, 0.08, 0.25, 0.28, 0.46, 
##     0.51, 0.71, 0.9, 1.15, 0.84, -0.1, 0.18, 0.41, 0.64, 0.75, 
##     0.89, 0.97, 0.89, 0.77, 0.1, 0.38, 0.44, 0.44, 0.23, 0.08, 
##     0.03, 0.08, 0.02, -0.41, -0.51, -0.43, 0, 0.33, 0.51, 0.3, 
##     0.03, -0.1, -0.36, -1.57, -1.57, -0.66, -0.3, 0, 0.15, -0.1, 
##     -0.21, -0.54, -0.57, -0.57, -0.16, -0.07, -0.02, 0.02, -0.18, 
##     -0.16, -0.1, -0.03, -0.02, -0.02, 0.02, -0.1, -0.16, -0.18, 
##     -0.13, -0.03, 0.11, 0.18, 0.2, 0.31, 0.44, -0.08, -0.08, 
##     0.1, 1.36, 1, 0.49, -0.44, -0.59, 1.08, 1.2, 1.2, -0.23, 
##     -0.34, -0.31, -0.18, 0.08, 0.13, 0.05, -0.16, -0.28, -0.34, 
##     -0.3, 0, 0.08, -0.3, -0.57, -0.69, -0.82, -0.89, -0.79, -0.51, 
##     -0.39, -0.64, -0.56, 0.23, 0.44, -0.11, -0.62, -0.84, 0.23, 
##     0.59, 0.98, 0.54, 0.07, -0.03, 0.05, 0.05, -0.11, -0.15, 
##     -0.2, -0.21, -0.11, -0.03, 0.07, 0.05, 0.16, 0.3, 0.38, 0.54, 
##     0.72, 0.82, 0.36, 0.16, 0.21, -0.28, -0.18, -0.21, -0.23, 
##     -0.15, 0.1, 0.92, 0.87, 0.59, 0.34, -0.21, -0.44, -0.39, 
##     -0.28, -0.2, -0.13, -0.13, -0.15, -0.15, -0.05, 0.08, 0.18, 
##     -0.05, -0.05, 0.07, 0.11, 0.18, 0.26, 0.46, 0.69, 0.67, 0.64, 
##     0.44, 0.31, 0.26, 0.31, 0.36, 0.48, 0.43, 0.39, 0.43, 0.44, 
##     0.44, 0.46, 0.49, 0.48, 0.28, 0.26, 0.25, 0.38, 0.46, 0.43, 
##     0.39, 0.61, 0.75, 0.74, 0.8, 0.97, 1.08, 1.25, 1.33, 1.25, 
##     1.07, 1.05, 0.98, 1.08, 1.2, 0.72, 0.64, 0.59, 0.57, 0.52, 
##     -0.43, -0.56, -0.62, -0.74, -0.85, -0.74, -0.62, -0.3, -0.18, 
##     -0.25, -0.41, -0.34, -0.48, 0.28, 0.46, 0.56, 0.97, 0.92, 
##     0.9, 0.95, 0.95, 0.98, 1.07, 1.21, 1.3, 1.1, 0.94, 1, 1.12, 
##     1.18, 1.2, 1.33, 1.62, 1.57, 1.21, 1.07, 0.95, 0.79, 0.56, 
##     0.21, 0.1, 0.07, -0.03, -0.16, -0.28, -0.79, -0.77, -0.75, 
##     -0.77, -0.54, -0.64, -0.48, -0.36, -0.15, 0.07, 0.15, 0.21, 
##     0.3, 0.31, 0.39, 0.54, 0.95, 1.12, 1.23, 1.16, 1.18, 1.18, 
##     1.15, 0.87, 0.92, 0.92, 0.9, 0.97, 1, 1, 0.84, 0.54, 0.28, 
##     -0.11, -0.28, -0.38, -0.41, -0.57, -0.61, -0.44, -0.41, -0.26, 
##     -0.62, -0.57, -0.43, -0.25, -0.07, 0.02, 0.05, 0.07, 0.13, 
##     0.25, 0.64, 0.77, 0.98, 1.03, 1.03, 0.97, 0.82, 1.05, 1.12, 
##     1.21, 1.12, 1, 0.97, 0.95, 0.9, 0.72, 0.49, -0.03, -0.05, 
##     -0.13, -0.38, -0.46, -0.72, -0.75, -0.72, -0.69, -0.62, -1.03, 
##     -0.92, -0.57, -0.62, -0.44, -0.11, -0.07, -0.1, -0.02, -0.02, 
##     -0.07, -0.07, 0.02, 0.25, 0.77, 0.82, 0.89, 1.12, 1.2, 1.89, 
##     1.87, 1.76, 1.71, 1.66, 1.66, 1.64, 1.16, 0.94, -0.18, -0.05, 
##     -0.23, -0.3, -0.43, -0.77, -0.85, -0.79, -0.8, -0.75, -0.69, 
##     -0.67, -0.61, -0.61, -0.67, -0.64, -0.62, -0.16, -0.1, -0.05, 
##     0.11, 0.1, 0.46, 0.54, 0.67, 0.77, 0.92, 1.05, 1.12, 1.1, 
##     1.08, 1.16, 1.18, 1.03, 0.8, 0.71, 0.64, 0.72, 0.43, 0.31, 
##     0.13, 0, -0.31, -0.57, -0.61, -0.51, -0.38, -0.3, -0.34, 
##     -0.39, -0.51, -0.57, -0.46, -0.21, -0.08, -0.1, -0.13, 0, 
##     0.15, 0.92, 0.71, 0.57, 0.28, 0.2, 0.25, 0.43, 0.71, 0.75, 
##     0.79, 0.82, 0.92, 0.97, 1.03, 1.25, 1.36, 1.39, 1.31, 1.07, 
##     0.85, 0.82, 0.8, 0.64, 0.13, 0.07, 0.03, -0.02, -0.31, -0.48, 
##     -0.59, -0.61, -0.67, -0.64, -0.49, -0.39, -0.15, -0.25, -0.34, 
##     -0.33, -0.31, -0.15, -0.13, 0.23, 0.46, 0.1, -0.03, 0.07, 
##     0.21, 0.38, 0.64, 0.57, 0.52, 0.54, 0.57, 0.59, 0.62, 0.67, 
##     0.75, 0.87, 0.85, 0.77, 0.85, 1.05, 0.66, 0.64, 0.77, 0.28, 
##     0.11, 0.15, -0.21, -0.26, -0.33, -0.49, -0.49, -0.38, -0.43, 
##     -0.36, -0.21, -0.15, -0.34, 0.11, -0.05, -0.18, -0.16, -0.25, 
##     -0.3, -0.26, -0.26, -0.23, -0.1, 0, 0.1, 0.28, 0.66, 0.79, 
##     0.84, 0.87, 2.02, 2.25, 2.41, 2.48, 2.48, 2.41, 2.1, 1.99, 
##     1.92, 1.87, 1.74, 1.48, 1.36, 1.28, 0.61, 0.36, 0.2, 0, -0.05, 
##     -0.1, 0.02, 0.33, 0.38, 0.46, 0.48, 0.41, 0.21, 0.2, 0.23, 
##     0.3, 0.36, 0.38, 0.38, 0.28, 0.28, 0.26, 0.26, 0.3, 0.3, 
##     0.3, 0.31, 0.3, 0.3, 0.26, 0.26, 0.25, 0.21, 0.18, -0.25, 
##     -0.54, -0.62, -0.71, -0.75, -0.74, -0.69, -0.61, -0.39, -0.26, 
##     -0.16, -0.18, -0.03, -0.03, -0.03, -0.02, -0.02, -0.05, -0.08, 
##     0, 0.02, 0.03, -0.05, -0.03, -0.03, -0.03, -0.02, -0.07, 
##     -0.08, -0.07, -0.07, -0.05, 0, 0, -0.02, -0.05, -0.03, -0.03, 
##     0.05, 0.02, -0.02, -0.03, 0.03, 0.03, 0.1, -0.18, -0.15, 
##     0.03, -0.02, 0, -0.07, 0.02, 0, -0.02, 0.08, -0.23, -0.31, 
##     0.31, 0.34, -0.44, -0.64, -0.8, -0.61, 0.07, 0.15, -0.46, 
##     -0.64, -0.51, -0.34, -0.18, 0.08, 0.43, 0.25, 0.11, 0.26, 
##     0.36, 0.13, 0.62, 0.74, 0.43, 0.44, -0.08, -0.28, -0.23, 
##     -0.03, 0.43, 0.28, 0.16, 0.02, -0.13, -0.25, -0.59, -0.69, 
##     -0.57, -0.52, -0.52, -0.66, -0.79, -0.82, -0.9, -1.03, -0.97, 
##     -0.89, -0.62, -0.62, -0.25, -0.25, 0.18, 0.18, 0.41, 0.2, 
##     -0.03, 0.03, 0.07, 0.15, 0.69, 0.52, 0.48, 0.38, 0.8, 1.02, 
##     0.85, 0.31, -0.39, -0.3, 0.46, 0.54, -0.07, -0.28, -0.16, 
##     0.07, 0.26, 0.25, -0.16, -0.48, -0.64, -0.94, -0.79, -0.48, 
##     -0.49, -0.48, -0.49, -1, -1, -0.46, 0.07, 0.46, 0.57, 0.15, 
##     0.31, 0.46, 0.85, 0.66, 0.66, 0.74, 0.39, 0.92, 1.1, 0.97, 
##     0.67, -0.87, -0.21, 0.34, 0.72, 0.97, 0.74, 0.59, 0.59, 0.57, 
##     0.52, 0.31, -0.1, -0.18, -0.77, -0.77, -0.77, -0.79, -0.8, 
##     -0.2, -0.05, 0.15, 0.2, -0.36, -0.36, 0.07, 0.2, 0.34, 0.38, 
##     0.36, 0.3, 0.72, 1.02, 0.13, -0.15, 0.57, 0.61, 0.36, -0.08, 
##     -0.23, 0.13, 0.02, -0.13, -0.23, -0.26, -0.26, -0.21, -0.54, 
##     -0.77, -0.94, -0.94, -0.69, -0.28, 0.16, 0.16, 0.57, 0.8, 
##     0.2, 0.31, 0.67, -0.16, 0.57, 0.77, 0.41, 1.13, 1, 1.36, 
##     1.08, -0.21, -0.46, -0.48, -0.59, 0.31, 0.57, 0.57, 0.33, 
##     0.1, -0.05, -0.34, -0.43, -0.43, -0.33, 0.15, -0.05, -0.38, 
##     -0.64, -0.64, -0.85, -1.05, -1.08, -0.39, -0.11, 0.15, -0.15, 
##     -0.23, -0.23, -0.23, -0.28, -0.28, -0.25, -0.18, -0.08, -0.16, 
##     -0.16, 0.15, 0.46, 0.21, 0.1, 0.13, -0.11, 0.1, 0.51, 1.07, 
##     1.08, 0.87, 0.97, 0.36, -0.18, -0.16, -0.07, 0.18, 0.28, 
##     0.33, 0.11, 0.1, 0.28, 0.26, 0.16, 0.11, -0.2, -0.36, -0.49, 
##     -0.44, -0.41, -0.77, -0.8, 0.03, 0.39, 0.16, 0, 0.3, 0.41, 
##     0.39, 0.15, -0.13, -0.1, 0.89, 0.92, 1.2, 1.39, 0.57, -0.1, 
##     -0.26, -0.2, -0.11, 0.16, 0.28, 0.31, 0.08, 0.87, 0.15, -0.25, 
##     -0.38, -0.2, 0.05, 0.3, 0.62, 0.51, -0.2, -0.13, -0.16, -0.23, 
##     -0.61, -0.85, -0.92, -0.8, -0.51, -0.11, -0.59, -0.15, -0.18, 
##     -0.38, -0.49, 0.03, 0.67, 0.79, 0.85, 0.52, 1.46, 1.25, 0, 
##     -0.44, -0.33, -0.07, 0.03, -0.05, -0.23, 0.98, 1.44, 0.97, 
##     0.74, 0, 0.38, 0.44, 0.43, 0.38, 0.28, -0.16, -0.05, 0.16, 
##     -0.2, -0.16, 0.03, 0.07, -0.05, 0.03, 0.05, 0.02, -0.02, 
##     -0.05, -0.07, -0.05, 0, -0.02, -0.03, -0.02, 0.02, 0.05, 
##     -0.03, -0.05, 0.05, 0.1, 0.1, 0.02, 0.05, -0.02, 0, -0.02, 
##     -0.08, -0.08, -0.07, -0.07, -0.1, -0.05, -0.02, 0.02, -0.03, 
##     -0.03, -0.05, -0.07, -0.03, -0.02, 0, -0.08, -0.1, -0.16, 
##     0.15, 0.23, 0.44, 0.49, 0.48, 0.39, 0.28, 0.07, -0.28, -0.41, 
##     -0.34, -0.28, -0.18, 0.1, 0.13, -0.08, -0.05, 0.18, 0.46, 
##     0.62, 0.67, 0.66, 0.61, 0.54, 0.46, 0.41, 0.41, 0.46, 0.51, 
##     0.56, 0.66, 0.82, 0.94, 1.23, 1.35, 1.41, 1.36, 0.98, 0.77, 
##     0.64, 0.61, 0.84, 0.98, 0.95, 0.82, 0.79, 0.72, 0.61, 0.61, 
##     0.49, 0.54, 0.74, 0.74, 0.69, 0.67, 0.67, 0.64, 0.59, 0.51, 
##     0.51, 0.49, 0.51, 0.54, 0.54, 0.49, 0.3, 0.18, 0.13, 0.3, 
##     0.1, -0.02, -0.1, -0.34, -0.38, -0.38, -0.38, -0.48, -0.33, 
##     0.39, 0.54, 0.66, 0.69, 0.33, 0.34, 0.41, 0.56, 0.43, 0.36, 
##     0.44, 0.61, 0.79, 0.8, 0.95, 1.08, 1.23, 1.21, 1.28, 1.33, 
##     1.2, 0.97, 0.72, 0.44, 0.33, 0.44, 0.72, 1.08, 1.03, 0.87, 
##     0.67, 0.3, 0.51, 0.87, 0.61, 0.64, 0.67, 0.69, 0.67, 0.66, 
##     0.79, 1.1, 1.18, 1.15, 1, 0.74, 0.13, -0.36, -0.36, -0.3, 
##     0.36, -0.25, -0.13, 0, -0.02, -0.08, -0.15, -0.15, -0.08, 
##     0.05, 0.36, 0.44, 0.61, 0.62, 0.64, 0.62, 0.61, 0.59, 0.64, 
##     0.84, 1.16, 0.98, 0.85, 0.67, 0.8, 0.92, 0.97, 0.94, 0.97, 
##     0.98, 0.89, 0.82, 0.74, 0.9, 0.95, 1, 1, 0.66, 0.43, 0.38, 
##     0.51, 0.59, 0.62, 0.64, 0.64, 0.61, 0.51, 0.46, 0.46, 0.21, 
##     0.03, 0.2, 0.33, 0.31, 0.25, 0.11, 0.07, -0.3, -0.85, -0.84, 
##     -0.54, -0.31, -0.1, 0.07, 0.44, 0.34, 0.21, 0.1, 0.15, 0.38, 
##     0.49, 0.71, 0.64, 0.62, 0.57, 0.52, 0.46, 0.48, 1.07, 1.23, 
##     1.39, 1.33, 1.36, 1.36, 1.2, 0.8, 0.74, 1.2, 1.36, 1.36, 
##     1.21, 0.54, 0.57, 0.59, 0.64, 0.71, 0.72, 0.69, 0.67, 0.77, 
##     0.8, 0.75, 0.33, 0.26, 0.39, 0.48, 0.39, 0.28, 0.2, -0.03, 
##     -0.18, -0.18, 1.03, 1.16, 1.35, 1.43, 1.44, 1.12, 0.95, 0.8, 
##     1.05, 1.02, 1.25, 1.12, 0.94, 0.82, 0.69, 0.79, 0.9, 1, 1, 
##     0.97, 0.89, 0.64, 0.57, 0.52, 0.51, 0.51, 0.56, 0.56, 0.25, 
##     0.3, 0.38, 0.43, 0.25, 0.49, 0.57, 0.57, 0.82, -0.52, -0.33, 
##     -0.1, 0.02, -0.18, -0.44, -0.48, -0.51, -0.33, 0.69, 0.62, 
##     0.52, 0.48, 0.52, 0.59, 0.64, 0.66, 0.66, 0.66, 0.64, 0.51, 
##     0.48, 0.69, 1.1, 1.44, 1.48, 1.43, 1.36, 1.3, 1.18, 1, 0.94, 
##     1.1, 1.13, 1.28, 2.21, 2.44, 2.43, 2.36, 1.87, 1.43, 0.56, 
##     0.38, 0.62, 0.72, 0.82, 0.85, 0.74, 0.64, 0.59, 0.31, 0.3, 
##     0.28, 0.33, 0.36, 0.61, 0.23, 0.23, 0.28, 0.46, 0.52, 0.59, 
##     0.61, 0.52, 0.39, 0.36, 0.36, 0.46, 0.49, 0.54, 0.56, 0.71, 
##     0.72, 0.74, 0.74, 0.74, 0.75, 0.75, 0.79, 0.59, 0.49, 0.49, 
##     0.54, 0.57, 0.62, 0.66, 0.51, 0.49, 0.49, 0.64, 0.72, 0.75, 
##     0.75, 0.77, 0.79, 0.79, 0.72, 0.62, 0.51, 0.51, 0.51, 0.36, 
##     0.2, 0.2, -0.2, -0.11, -0.05, -0.13, -0.15, -0.13, -0.07, 
##     -0.16, -0.34, -0.49, -0.59, -0.49, -0.28, -0.38, -0.56, -0.95, 
##     -1.1, -1.21, -1.16, -0.89, -0.79, -0.71, -0.62, -0.38, -0.16, 
##     0.11, 0.34, 0.33, 0.36, 0.46, 0.54, 0.69, 0.74, 0.77, 0.82, 
##     0.9, 0.98, 1.08, 1.2, 1.3, 1.39, 1.07, 0.94, 0.79, 0.51, 
##     0.33, -0.18, 1.25, 1.33, 2.1, 2.66, 3.15, 0.92, -0.38, -0.41, 
##     0.11, -0.39, -0.36, -0.26, -0.59, -0.71, -0.87, -0.92, 1.48, 
##     1.51, 1.62, 1.61, 1.51, 1.48, 1.46, 1.35, 1.3, 1.28, 1.43, 
##     1.53, 1.56, 2, 1.67, 1.16, 1.07, 1.03, 0.51, 0.56, 0.62, 
##     0.69, 0.74, 0.72, 0.69, 0.64, 0.51, 0.48, 0.46, 0.51, 0.52, 
##     0.59, 0.71, 0.72, 0.71, 0.69, 0.66, 0.67, 0.66, 0.66, 0.67, 
##     0.74, 0.71, 0.46, 0.34, 0, 0.05, 0.08, 0.1, 0.11, 0.11, 0.02, 
##     -0.2, -0.21, 0.03, 0.16, 0.07, 0.1, 0.39, 0.52, 0.64, 0.67, 
##     0.67, 0.66, 0.74, -0.77, -0.44, -0.77, -1.53, -2, -2.56, 
##     -2.18, -1.2, 0.48, 0.71, 0.85, 1.03, 1.26, 1.2, 0.95, 1.35, 
##     1.12, 1.15, 0.85, 1.39, 1.15, 0.51, 0.39, 0.59, 0.3, -0.07, 
##     0.07, 0.39, 0.3, 0.31, 0.07, -0.1, -0.26, -0.48, 0.23, 0.28, 
##     0.25, 0.38, 0.46, 0.39, 0.08, -0.25, -0.34, -0.41, -0.44, 
##     -0.41, -0.46, -0.51, -0.49, -0.56, -0.59, -0.54, -0.62, -0.71, 
##     -0.92, -1.13, -1.16, -1.23, -1.38, -1.53, -1.36, -1.08, 0.25, 
##     0.2, 0.13, 0.07, 0.16, 0.57, 1.2, 1.39, 1.74, 1.59, 1.59, 
##     1.8, 1.92, 2.08, 1.43, 0.57, 0.31, 0.59, 0.69, 0.49, 0.71, 
##     0.49, 0.28, 0.34, 0.56, 0.48, 0.41, -0.03, -0.26, -0.49, 
##     -0.51, -0.34, -0.71, -0.84, -0.95, -1.05, -1.13, -1.08, -0.79, 
##     -1.13, -1.46, -1.97, -2.3, -2.38, -2.36, -0.48, 0.41, 0.84, 
##     0.79, 0.9, 0.82, 0.94, 1.43, 1.66, 1.72, 2.25, 2.07, 2.08, 
##     1.51, 1.03, 0.59, -0.49, -0.52, -0.3, 0.28, 0.64, 0.49, 0.28, 
##     0.25, 0.16, 0.07, 0.15, -0.21, 1.28, 1.2, 0.92, 0.69, 0.62, 
##     0.61, 0.48, 0.31, 0.16, 0.41, 0.72, 0.57, 0.87, 0.64, 0.21, 
##     0.03, -0.1, -0.48, -0.44, -0.31, -0.3, -0.43, 1.95, 2.02, 
##     1.39, 0.15, -0.3, -0.43, -0.21, 0.16, 0.46, 0.52, 0.77, 0.59, 
##     0.48, 0.23, 0, -0.2, -0.21, -0.28, -0.31, -0.23, -0.02, 0.02, 
##     0.08, 0.13, 0.1, 0.1, -0.02, -0.25, -0.54, -2.08, -2.02, 
##     -1.53, -0.02, 0.3, 0.49, 0.36, 0.67, 1.05, 1.41, 1.59, 1.38, 
##     1.51, 1.69, 1.71, 1.61, 1.36, 0.02, 0.85, 1.12, 1.59, 1.74, 
##     1.74, 1.76, 1.57, 1.3, 0.46, 0.41, 0.36, 0.43, 0.46, 0.25, 
##     -0.38, -0.54, -0.54, -0.36, -0.44, -0.56, -0.25, -0.13, -0.11, 
##     -0.08, 0.08, 0.18, 0.13, 0, -0.2, -0.23, 0, 0.05, 0.08, 0.08, 
##     -0.08, -0.13, -0.11, -0.2, -0.18, -0.15, -0.15, -0.15, -0.08, 
##     -0.07, -0.11, -0.11, -0.16, -0.21, -0.21, -0.21, -0.18, -0.13, 
##     -0.08, -0.08, -0.05, -0.1, -0.05, 0.08, 0.1, 0.08, -0.05, 
##     -0.11, -0.15, -0.08, 0, 0.05, 0.07, 0.03, 0.03, 0.15, 0.18, 
##     0.16, 0.13, 0.1, 0.05, 0.08, 0.13, 0.16, -0.05, -0.05, -0.07, 
##     0.05, 0.21, 0.21, 0.21, 0.2, 0.1, 0.05, 0, 0.18, 0.28, 0.43, 
##     0.8, 0.43, 0.08, 0.2, -0.23, 1.15, 1.1, 1.41, 0.38, 0.11, 
##     0.26, 0.49, 0.69, 0.75, 0.21, -1.18, -1.2, -1.08, -0.08, 
##     -0.11, -0.25, -0.25, -0.26, -0.25, -0.03, -0.02, -0.02, -0.03, 
##     -0.05, -0.07, -0.08, -0.08, -0.07, -0.03, -0.05, -0.15, -0.02, 
##     0.03, 0.05, -0.02, -0.11, -0.08, -0.02, 0.79, 0.61, 0.39, 
##     0.33, 0.33, 0.26, 0.1, -0.11, -0.26, -0.97, -1.05, -0.95, 
##     -0.95, -0.92, -0.97, -1.16, -0.97, -0.03, 0.38, 0.26, -0.08, 
##     0.07, 0.15, 0.13, 0.59, 0.56, 0, -0.05, -0.33, -0.08, -0.2, 
##     -0.43, -0.75, -0.87, -0.87, -0.85, -0.85, -0.79, -0.57, -0.66, 
##     -0.84, -1.05, -1.28, -1.28, -1.36, -0.8, 0.34, -0.05, 0.38, 
##     1.13, 0.71, 0.8, -0.05, -0.15, -0.21, -0.21, -0.08, -0.02, 
##     -0.21, -0.36, -0.34, 0.18, 0.26, 0.33, 0.33, 0.26, 0.18, 
##     0.13, 0, -0.03, -0.03, -0.03, -0.03, -0.03, -0.1, -0.25, 
##     -0.25, -0.13, -0.1, -0.1, -0.1, 0.31, 0.31, 0.3, 0.31, 0.33, 
##     0.31, 0.28, 0.28, 0.31, 0.31, 0.28, 0.28, 0.28, 0.33, 0.3, 
##     0.3, 0.31, 0.31, 0.31, 0.3, 0.3, 0.3, 0.72, 0.77, 1.03, 1.03, 
##     0.38, 0.2, 0.1, -0.25, -0.62, -0.82, -0.67, -0.57, -0.66, 
##     -0.56, -0.48, -0.56, -0.61, -0.3, -0.34, -0.3, -0.11, 0.1, 
##     0.18, 0.16, 0.56, 0.13, -0.02, -0.13, -0.3, -0.3, -0.3, -0.46, 
##     -0.57, -0.57, -0.56, -0.64, -0.64, -0.64, -0.62, -0.59, -0.64, 
##     -0.84, -0.9, -0.67, -0.64, -0.2, -0.07, 0.49, 1.1, 1.13, 
##     0.43, -0.21, -0.67, -0.33, 0.05, -0.1, -0.57, 0.3, 0.57, 
##     0.48, 0.03, -0.11, -0.26, -0.36, -0.36, -0.31, -0.26, -0.28, 
##     -0.31, -0.48, -0.64, -0.89, -1.12, -1.35, -1.3, -1.33, -0.94, 
##     -0.61, -0.2, -0.25, -0.69, -0.92, -0.79, -0.74, -0.69, -0.69, 
##     -1.13, -1.3, -2.02, -1.79, -1.43, -0.77, -0.21, 0.18, 0.13, 
##     0.8, 0.77, 0.84, 1.3, 1.9, 2.17, 1.69, 2.23, -0.44, -0.57, 
##     -0.51, -0.28, -0.49, -0.56, -0.54, -0.54, -0.85, -0.89, -0.94, 
##     -1.16, -1.49, -1.25, 0, -0.13, 0.67, 1.03, 1.15, 1.87, 1.31, 
##     1.39, -0.56, -0.39, -0.2, -0.13, -0.31, -0.67, -0.71, -0.67, 
##     -0.41, -0.43, -0.62, -1.31, -1.71, -1.76, -0.97, 0.49, 0.28, 
##     -0.3, -0.02, 0.33, 0.57, 1.05, 1.48, 1.43, 1.54, 1.92, 1.16, 
##     1, 0.54, 0.41, 0.46, 0.75, 0.18, -0.11, 0.31, 0.49, 0.54, 
##     0.59, 0.31, -0.03, -0.26, -0.28, -0.3, -0.54, -0.62, -0.49, 
##     -0.43, -0.38, -0.26, -0.07, 1.35, 0.94, 0.77, 0.52, 0.25, 
##     0.38, 0.43, 0.44, 0.21, -0.13, -0.39, -0.46, -0.11, -0.84, 
##     -1.3, -1.39, -1.33, -1.25, -1.2, -1.02, -0.95, -0.74, -0.72, 
##     -0.85, -1.77, -1.74, -1.61, -1.2, -1.03, -0.84, -0.95, -1.07, 
##     -1.15, -1.13, -0.89, -0.56, -0.11, 0.98, 1.07, 1.05, 1.07, 
##     1.12, 1.07, 0.84, 0.84, 1.21, 1.08, 1.05, 1.23, 1.21, 1.3, 
##     1.56, 1.12, 1.31, 1.12, 1.21, 1.02, 1.03, 0.41, 0.31, 0.16, 
##     0.02, -0.21, -0.28, -0.34, -0.71, -0.74, -0.85, -0.8, -0.79, 
##     -1.21, -1.54, -0.49, -0.54, -0.49, -0.43, -0.38, -0.46, -0.57, 
##     -0.72, -0.72, -0.8, -1.05, -0.87, -0.77, -0.79, -0.72, -0.8, 
##     -1.03, -1.15, -1.16, -1.18, -0.92, -0.15, 0.64, 0.89, 0.61, 
##     0.51, 0.49, 0.51, 0.64, 1.12, 1.28, 2, 1.84, 1.36, 1.1, 1.07, 
##     1.26, 1.64, 1.76, 1.82, 1.84, -0.59, -0.52, -0.48, -0.49, 
##     -0.56, -0.61, -0.71, -1.02, -0.38, -0.25, 0, 0.05, 0.05, 
##     0.08), accel_forearm_x = c(192, 192, 196, 189, 189, 193, 
##     195, 193, 193, 190, 193, 191, 193, 193, 192, 194, 192, 192, 
##     192, 193, 194, 191, 194, 193, 191, 190, 192, 193, 195, 189, 
##     192, 192, 196, 188, 191, 191, 193, 191, 194, 194, 192, 193, 
##     192, 192, 192, 192, 191, 194, 195, 193, 191, 190, 192, 192, 
##     190, 193, 190, 194, 192, 192, 191, 192, 187, 192, 190, 193, 
##     193, 194, 191, 193, 190, 195, 193, 195, 195, 192, 193, 191, 
##     189, 192, 194, 192, 189, 191, 190, 190, 195, 194, 191, 193, 
##     191, 191, 191, 190, 192, 193, 192, 190, 192, 191, 191, 194, 
##     190, 193, 193, 195, 192, 191, 192, 192, 191, 193, 196, 192, 
##     202, 193, 189, 190, 196, 195, 191, 192, 199, 192, 191, 192, 
##     192, 192, 193, 192, 189, 192, 194, 195, 194, 194, 192, 193, 
##     195, 193, 191, 191, 192, 195, 192, 193, 196, 193, 193, 191, 
##     194, 194, 194, 194, 191, 191, 191, 193, 193, 192, 195, 193, 
##     195, 189, 195, 151, 152, 152, 147, 146, 157, 154, 157, 153, 
##     153, 152, 148, 144, 151, 151, 144, 152, 158, 152, 156, 153, 
##     146, 156, 149, 150, 154, 155, 152, 154, 158, 152, 148, 155, 
##     154, 156, 153, 160, 148, 153, 156, 160, 154, 150, 158, 158, 
##     156, 153, 153, 150, 157, 146, 155, 165, 160, 165, 157, 144, 
##     153, 163, 166, 170, 167, 161, 155, 159, 160, 156, 152, 150, 
##     145, 150, 151, 148, 141, 140, 147, 155, 140, 147, 149, 153, 
##     150, 148, 157, 162, 160, 159, 173, 159, 159, 173, 185, 177, 
##     170, 154, 148, 143, 148, 159, 161, 160, 162, 137, 143, 155, 
##     164, 162, 149, 146, 136, 141, 143, 135, 127, 130, 136, 153, 
##     159, 170, 159, 153, 150, 151, 159, 153, 159, 149, 144, 144, 
##     154, 150, 148, 141, 146, 141, 136, 154, 137, 137, 148, 143, 
##     140, 147, 144, 141, 142, 142, 140, 146, 147, 137, 142, 150, 
##     144, 150, 140, 147, 139, 148, 151, 147, 134, 143, 137, 131, 
##     150, 145, 144, 148, 147, 145, 140, 142, 147, 142, 143, 146, 
##     152, 136, 128, 126, 129, 126, 137, 145, 145, 151, 138, 140, 
##     137, 143, 146, 142, 141, 145, 136, 144, 142, 142, 144, 143, 
##     138, 142, 141, 141, 138, 139, 145, 138, 146, 146, 144, 141, 
##     143, -145, -150, -195, -197, -231, -231, -207, -192, -170, 
##     -162, -148, -170, -199, -181, -178, -197, -195, -196, -223, 
##     -174, -157, -152, -148, -86, -105, -122, -97, -38, -2, 44, 
##     24, 18, 95, 124, 138, 143, 97, 95, 104, 98, 95, 92, 93, 85, 
##     100, 93, 90, 73, 51, 57, 56, 43, 40, 31, 7, 3, 2, -39, -36, 
##     -52, -66, -68, -88, -141, -153, -178, -176, -168, -152, -166, 
##     -160, -156, -139, -142, -177, -148, -178, -194, -205, -197, 
##     -219, -246, -232, -255, -213, -221, -228, -125, -43, -48, 
##     16, 35, 13, 33, 18, 82, 118, 135, 120, 119, 103, 138, 125, 
##     124, 124, 113, 109, 118, 110, 90, 106, 84, 79, 59, 52, 61, 
##     24, 13, -15, -40, -97, -83, -89, -109, -133, -148, -146, 
##     -15, -6, 49, 42, 31, 41, 88, 73, 89, 74, 82, 101, 106, 116, 
##     114, 112, 100, 88, 77, 67, 47, 44, 58, 62, 40, 11, -42, -67, 
##     -61, -69, -77, -115, -157, -163, -165, -158, -146, -176, 
##     -121, -142, -160, -171, -191, -188, -185, -188, -189, -216, 
##     -194, -202, -185, -156, -141, -163, -101, -110, -59, -57, 
##     -17, -10, 21, 8, 37, 84, 69, 60, 62, 95, 93, 106, 122, 116, 
##     103, 105, 82, 85, 44, 37, -46, -58, -63, -76, -96, -119, 
##     -165, -162, -164, -139, -143, -111, -132, -118, 108, 88, 
##     91, 86, 67, 55, 32, 21, 19, 33, 19, -50, -69, -73, -92, -91, 
##     -102, -151, -173, -180, -200, -203, -197, -189, -147, -131, 
##     -103, -105, -143, 91, 67, 60, 86, 89, 75, 42, 38, 30, 30, 
##     -4, -16, -58, -107, -119, -142, -163, -172, -162, -134, -151, 
##     -172, -202, -126, -140, -155, -156, -143, -96, -74, -178, 
##     -210, -191, -184, -189, -152, -130, -145, -146, -152, -176, 
##     -208, -160, -173, -179, -137, -177, -114, -109, -143, -69, 
##     -30, -92, -46, 14, 27, 51, 78, 74, 50, 62, 69, 89, 108, 123, 
##     125, 72, 75, 82, 87, 92, 93, 78, 70, 58, 60, 68, 77, 83, 
##     84, 76, 71, 72, 84, 88, 85, 78, 71, 66, 73, 75, 79, 86, 89, 
##     88, 74, 67, 57, 53, 60, 94, 95, 92, 88, 74, 70, 69, 77, 82, 
##     64, 72, 78, 72, 71, 67, 73, 74, 75, 72, 67, 73, 76, 79, 76, 
##     73, 80, 84, 77, 74, 76, 75, 77, 72, 67, 62, 76, 77, 74, 70, 
##     72, 78, 69, 69, 72, 74, 75, 76, 74, 74, 69, 61, 82, 82, 73, 
##     77, 71, 72, 75, 78, 76, 77, 79, 74, 68, 80, 66, 64, 78, 85, 
##     67, 71, 76, 78, 74, 68, 62, 72, 71, 73, 77, 77, 77, 78, 80, 
##     73, 67, 69, 66, 66, 77, 77, 71, 69, 69, 74, 72, 62, 84, 76, 
##     65, 74, 70, 68, 72, 71, 70, 74, 60, 61, 66, 70, 70, 77, 82, 
##     70, 68, 73, 75, 76, 73, 69, 68, 77, 75, 73, 74, 80, 70, 72, 
##     74, 76, 71, 75, 77, 71, 75, 79, 81, 75, 74, 73, 75, 75, 72, 
##     74, 80, 77, 73, 72, 74, 79, 76, 70, 67, 73, 79, 86, 86, 89, 
##     92, 83, 69, 65, 61, 62, 64, 69, 75, 75, 80, 89, 82, 56, 61, 
##     -280, -245, -224, -204, -178, -191, -89, -55, -86, -98, -101, 
##     -110, -88, -51, -65, -81, -68, -81, -106, -111, -109, -108, 
##     -91, -167, 91, 76, 84, 71, 65, 65, 72, 70, 73, 73, 72, 71, 
##     75, 87, 227, 213, 138, 108, 12, -70, 114, 27, -36, -59, 18, 
##     -6, 16, -10, -23, 75, 20, 25, -64, -13, -42, -12, -13, -52, 
##     -41, -38, -59, -39, -72, -45, 32, 46, 71, 106, 140, 156, 
##     102, 43, 32, 37, 44, 56, 65, 90, 92, 94, 100, 97, -44, -44, 
##     -34, -18, -9, -22, -52, -43, -61, -43, -25, -58, -64, -52, 
##     -27, -65, 78, -19, -45, -16, -1, -29, -38, -33, 5, -11, -43, 
##     -30, -47, -57, -76, -24, 37, -7, -1, -29, -31, -5, -20, -14, 
##     -26, -6, -11, -19, -36, -16, -19, -5, -36, -36, -28, -21, 
##     -23, -19, -7, -29, -37, 1, -9, -44, -22, -27, -28, -13, -34, 
##     -16, -21, -30, -16, -14, -30, -41, 21, -65, -40, -26, 94, 
##     -42, 15, 6, 4, -23, -21, -2, -6, -21, -51, -32, -22, -12, 
##     7, -2, -26, -22, -29, -24, -15, -25, -30, -30, -24, -26, 
##     -25, -22, -32, -33, -30, -19, -27, -32, -33, -27, -40, -25, 
##     -27, -27, -21, -9, -32, -59, -61, -37, -22, -36, -44, -33, 
##     -26, -64, -57, -67, -69, -86, -70, -56, -38, -31, -27, -34, 
##     -46, -47, -44, -43, -37, -24, -23, 0, -6, -7, 3, 0, -12, 
##     -11, -9, -7, 4, 10, 10, 8, 19, 19, 23, 21, 20, 20, 23, 23, 
##     13, 17, 16, 17, 16, 5, 8, 12, 1, 0, -3, -8, -7, 1, 7, -8, 
##     -2, 5, 6, 10, 30, 22, 15, 10, 14, 21, 13, -3, 4, -7, -2, 
##     -11, 8, -3, 2, -72, -77, -83, -73, -74, -89, -166, -166, 
##     -167, -188, -208, -216, -208, -266, -332, -343, -353, -332, 
##     -367, -315, -363, -325, -326, -318, -294, -263, -253, -277, 
##     -226, -250, -243, -175, -183, -212, -202, -169, -164, -126, 
##     -88, -103, -102, -57, -88, -56, -39, -14, -33, -28, -25, 
##     -6, -17, -10, -5, -11, -10, -5, 9, -8, 20, 17, -2, -2, 0, 
##     -2, -26, -43, -35, -41, -59, -112, -131, -146, -171, -196, 
##     -200, -195, -250, -265, -293, -294, -306, -316, -329, -359, 
##     -364, -379, -389, -380, -262, -242, -251, -183, -222, -131, 
##     -171, -142, -117, -82, -75, -60, -75, -79, -65, -65, -27, 
##     -1, -40, -29, -9, -24, -37, -29, -28, -22, -8, -2, -5, 16, 
##     1, -4, 10, 11, -12, 23, -42, -22, -60, -72, -89, -172, -151, 
##     -182, -198, -205, -225, -262, -270, -272, -304, -353, -361, 
##     -377, -384, -387, -383, -395, -394, -386, -387, -396, -407, 
##     -398, -400, -410, -392, -375, -390, -397, -382, -377, -380, 
##     -380, -365, -369, -327, -341, -354, -319, -324, -347, -328, 
##     -328, -275, -262, -278, -248, -186, -237, -66, -128, -152, 
##     -68, -101, -152, -70, -68, -31, -56, -47, -51, -39, -37, 
##     -34, -18, -14, -16, -18, -17, 0, 1, -1, -4, 7, -5, 8, 16, 
##     13, -16, -5, 7, -32, -30, -34, -26, -55, -63, -33, -69, -95, 
##     -115, -169, -166, -200, -220, -294, -308, -291, -300, -330, 
##     -331, -353, -362, -372, -389, -367, -368, -399, -397, -388, 
##     -394, -379, -388, -378, -375, -391, -372, -378, -386, -358, 
##     -347, -329, -327, -316, -280, -311, -310, -264, -285, -277, 
##     -201, -175, -182, -143, -114, -131, -154, -159, -143, -108, 
##     -108, -96, -7, -19, -16, 8, -24, -36, -26, -25, 5, 12, 14, 
##     12, -5, 16, 3, 2, 8, 14, -53, -47, -48, -41, -60, -74, -80, 
##     -150, -184, -252, -263, -279, -289, -300, -316, -343, -352, 
##     -321, -333, -375, -181, -95, -153, -117, -93, -61, -69, -64, 
##     -55, -41, -17, 2, -11, -12, -11, -16, -14, -1, 8, -8, -7, 
##     7, 18, 21, 6, -13, -35, -59, -49, -83, -113, -137, -164, 
##     -176, -169, -210, -198, -187, -227, -268, -294, -297, -316, 
##     -369, -348, -360, -355, -363, -384, -377, -380, -382, -392, 
##     -392, -376, -398, -383, -378, -395, -405, -392, -385, -397, 
##     -390, -362, -346, -340, -352, -329, -318, -287, -294, -302, 
##     -273, -247, -212, -240, -187, -200, -184, -157, -162, -150, 
##     -140, -144, -153, -128, -87, -54, -355, -378, -353, -388, 
##     -374, -380, -392, -388, -391, -394, -389, -390, -389, -385, 
##     -381, -386, -395, -388, -389, -389, -391, -386, -368, -377, 
##     -364, -360, -362, -363, -358, -351, -340, -333, -347, -330, 
##     -57, -62, -58, -56, -59, -59, -58, -61, -59, -55, -57, -57, 
##     -59, -60, -62, -58, -53, -54, -54, -61, -59, -56, -56, -57, 
##     -55, -57, -57, -57, -55, -58, -57, -58, -57, -57, -55, -56, 
##     -58, -58, -55, -55, -54, -58, -56, -57, -57, -56, -57, -57, 
##     -58, -57, -54, -55, -57, -55, -57, -56, -57, -55, -57, -54, 
##     -56, -58, -58, -57, -56, -56, -59, -59, -55, -56, -56, -56, 
##     -54, -56, -56, -58, -60, -64, -70, -68, -72, -68, -66, -64, 
##     -62, -58, -61, -59, -66, -63, -66, -73, -76, -78, -73, -75, 
##     -75, -72, -71, -72, -70, -73, -74, -74, -73, -70, -60, -40, 
##     -34, -17, 4, 23, 136, 151, 188, 160, 181, 191, 193, 163, 
##     157, 120, 124, 117, 102, 83, 66, 89, 100, 103, 105, 150, 
##     174, 184, 187, 205, 198, 203, 206, 201, 199, 203, 222, 191, 
##     219, 185, 128, 121, 94, 108, 71, 57, 48, 2, 10, 5, 4, 0, 
##     -18, -34, -55, -54, -49, -46, -44, -41, -42, -56, -65, -69, 
##     -76, -73, -65, -62, -37, -27, -30, 25, 29, 58, 126, 118, 
##     158, 148, 159, 203, 198, 209, 198, 196, 193, 179, 159, 176, 
##     162, 159, 152, 143, 132, 98, 72, 39, 20, 37, 131, -57, -42, 
##     -49, -65, -72, -73, -66, -66, -61, -66, -44, -34, -23, 4, 
##     15, 52, 60, 65, 74, 101, 124, 133, 148, 166, 178, 188, 201, 
##     187, 197, 220, 191, 184, 167, 147, 85, 65, 107, 116, 140, 
##     140, 150, 148, 142, 127, 143, 139, 152, 166, 154, 213, 178, 
##     147, 195, 156, 168, 147, 162, -85, -84, -79, -74, -76, -70, 
##     -50, -9, 8, 13, 24, 46, 92, 101, 132, 164, 204, 187, 181, 
##     174, 139, 102, 68, 63, 60, 50, 60, 71, 85, 93, 128, 133, 
##     156, 175, 167, 174, 174, 198, 105, 110, 68, 19, 31, 11, 7, 
##     -12, -24, 209, 184, 203, 188, 204, 156, 98, 96, 101, 47, 
##     20, -4, -16, -15, -19, -25, -51, -53, -54, -49, -46, -86, 
##     -89, -90, -92, -95, -97, -66, -74, -61, -37, -24, 19, 29, 
##     76, 92, 124, 147, 163, 175, 152, 180, 168, 181, 182, 170, 
##     158, 113, 117, 60, 60, 66, 64, 41, 41, 51, 62, 65, 92, 97, 
##     116, 132, 150, 149, 173, 179, 153, 167, 137, 99, 95, 39, 
##     38, 40, 12, 12, 10, 3, -43, -52, -58, -53, -56, -78, -84, 
##     -106, -99, -88, -97, -96, -98, -101, -99, -93, -89, -55, 
##     -49, -48, -40, 5, 7, 25, 45, 64, 79, 88, 132, 188, 198, 190, 
##     198, 192, 183, 156, 135, 130, 59, 37, 27, -1, 8, 22, 47, 
##     100, 132, 143, 148, 143, 167, 153, 180, 193, 184, 196, 213, 
##     -73, -73, -74, -64, -64, -60, 6, 39, 54, 54, 77, 88, 124, 
##     149, 167, 184, 189, 209, 208, 196, 183, 173, 154, 142, 120, 
##     102, 76, 11, 5, -31, 74, 131, 141, 152, 158, 163, 140, 178, 
##     184, 196, 107, 53, 54, 63, 18, -58, -71, -77, -63, -72, -71, 
##     -76, -69, -78, -76, -64, -52, -47, -42, -33, -38, -33, -25, 
##     -32, -24, -13, 35, 65, 106, 116, 155, 161, 170, 183, 200, 
##     211, 176, 203, 221, 154, 165, 114, 108, 43, 2, -17, -10, 
##     38, 108, 146, 167, 136, 142, 177, 181, 179, 155, 103, 128, 
##     92, 63, 13, 2, -8, -33, -75, -95, -104, -143, -143, -127, 
##     -118, -119, -124, -128, -136, -122, -139, -157, -96, -127, 
##     -24, -16, -8, 145, 75, 73, 68, 70, 71, 64, 72, 72, 118, 157, 
##     173, 163, 169, 168, 170, 186, 154, 179, 154, 151, 132, 137, 
##     115, 100, 45, 39, 19, 17, 21, 7, -7, 242, 250, 178, 185, 
##     254, 242, 221, 212, 252, 242, 243, 251, 202, 253, 255, 244, 
##     232, 217, 220, 237, 241, 237, 237, 233, 229, 237, 247, 238, 
##     220, 225, 237, 246, 237, 223, 226, 226, 227, 236, 236, 240, 
##     227, 236, 229, 235, 233, 231, 231, 234, 239, 234, 234, 235, 
##     227, 232, 229, 232, 230, 229, 231, 232, 232, 232, 231, 235, 
##     234, 233, 234, 236, 233, 236, 235, 234, 231, 233, 234, 231, 
##     231, 227, 232, 235, 240, 234, 224, 231, 232, 233, 234, 230, 
##     227, 231, 236, 238, 234, 230, 233, 233, 232, 239, 232, 234, 
##     235, 233, 229, 230, 229, 229, 231, 236, 234, 231, 235, 237, 
##     232, 228, 233, 232, 233, 232, 231, 233, 235, 234, 233, 230, 
##     236, 231, 231, 232, 231, 232, 233, 230, 235, 233, 231, 236, 
##     235, 238, 235, 234, 232, 233, 233, 228, 230, 228, 233, 237, 
##     234, 235, 233, 237, 236, 236, 231, 229, 232, 236, 235, 235, 
##     232, 227, 225, 231, 234, 229, 230, 233, 236, 233, 233, 232, 
##     234, 238, 233, 232, 227, 229, 231, 236, 233, 235, 236, 229, 
##     235, 231, 235, 232, 233, 230, 232, 234, 231, 229, 231, 231, 
##     231, 231, 234, 231, 231, 229, 231, 230, 236, 234, 235, 236, 
##     222, 228, 231, 236, 233, 237, 235, 233, 234, 236, 235, 236, 
##     238, 230, 222, 221, 228, 235, 235, 238, 239, 233, 229, 229, 
##     236, 230, 229, 232, 234, 230, 227, 231, 234, 232, 225, 226, 
##     229, 234, 244, 242, 229, 223, 226, 226, 229, 228, 234, 233, 
##     226, 225, 250, 231, 213, 234, 253, 239, 230, 230, 231, 222, 
##     232, 233, 237, 236, 231, 228, 228, 227, 228, 230, 223, 228, 
##     228, 227, 226, 228, 232, 233, 234, 235, 231, 228, 224, 232, 
##     225, 235, 232, 224, 234, 229, 226, 232, 231, 232, 224, 226, 
##     222, 224, 217, 222, 228, 235, 231, 226, 227, 234, 232, 236, 
##     229, 229, 230, 234, 228, 226, 223, 228, 232, 223, 231, 229, 
##     221, 248, 260, 221, 239, 232, 226, 221, 225, 224, 229, 230, 
##     226, 223, 223, 222, 222, 226, 224, 229, 226, 227, 225, 222, 
##     226, 228, 194, 191, 196, 193, 189, 196, 192, 194, 195, 193, 
##     194, 193, 191, 192, 192, 193, 192, 194, 192, 194, 194, 193, 
##     195, 194, 189, 193, 197, 193, 195, 194, 192, 196, 194, 193, 
##     197, 193, 195, 196, 195, 195, 195, 196, 196, 196, 195, 194, 
##     194, 192, 196, 197, 197, 194, 195, 192, 196, 195, 193, 195, 
##     193, 196, 196, 194, 192, 195, 193, 191, 191, 196, 192, 195, 
##     194, 196, 194, 195, 194, 195, 192, 191, 195, 195, 195, 193, 
##     193, 194, 196, 195, 195, 195, 191, 192, 192, 196, 194, 193, 
##     193, 193, 192, 192, 195, 192, 193, 196, 194, 195, 194, 194, 
##     192, 192, 192, 195, 196, 192, 193, 195, 195, 196, 196, 192, 
##     192, 191, 187, 194, 194, 191, 195, 195, 195, 193, 191, 194, 
##     192, 192, 192, 195, 193, 194, 194, 189, 190, 191, 192, 190, 
##     187, 190, 192, 192, 192, 192, 191, 192, 193, 191, 190, 190, 
##     191, 193, 189, 190, 191, 193, 190, 190, 191, 190, 189, 188, 
##     188, 188, 191, 192, 189, 188, 191, 185, 188, 188, 186, 187, 
##     188, 188, 185, 187, 187, 188, 190, 189, 185, 189, 186, 186, 
##     190, 185, 182, 191, 190, 184, 185, 184, 184, 183, 187, 184, 
##     180, 181, 180, 188, 180, 187, 177, 169, 166, 163, 154, 152, 
##     124, 122, 107, 95, 97, 78, 76, 51, 13, -1, -7, -18, -33, 
##     -36, -44, -58, -92, -152, -160, -172, -186, -193, -199, -190, 
##     -176, -184, -180, -193, -180, -160, -149, -151, -137, -117, 
##     -106, -124, -134, -136, -145, -162, -167, -166, -167, -187, 
##     -181, -181, -178, -183, -186, -184, -186, -196, -225, -234, 
##     -184, -179, -184, -175, -195, -175, -169, -113, -129, -127, 
##     -69, -47, 15, 20, 16, 31, 73, 78, 101, 128, 135, 144, 143, 
##     164, 158, 161, 146, 140, 137, 141, 150, 138, 135, 122, 94, 
##     97, 92, 109, 33, 25, 14, -11, -60, -88, -106, -146, -145, 
##     -171, -189, -196, -186, -167, -171, -178, -150, -119, -118, 
##     -101, -173, -204, -202, -208, -207, -197, -211, -203, -199, 
##     -165, -158, -135, -129, -123, -113, -107, -57, -28, -25, 
##     -2, -2, 5, 25, -3, 19, 112, 132, 118, 114, 110, 115, 65, 
##     67, 69, 92, 76, 66, 19, -11, -60, -74, -68, -87, -164, -196, 
##     -195, -185, -166, -143, -116, -131, -140, -120, -164, -160, 
##     -176, -151, -151, -159, -147, -158, -172, -183, -144, -122, 
##     -152, -86, -20, 3, 33, 0, 8, 30, 54, 102, 136, 148, 146, 
##     171, 157, 133, 118, 101, 102, 118, 97, 100, 85, 42, -20, 
##     -35, -52, -64, -75, -92, -96, -114, -142, -148, -184, -164, 
##     -172, -178, -163, -155, -150, -151, -136, -101, -98, -120, 
##     -150, -197, -186, -175, -201, -169, -187, -157, -161, -102, 
##     -32, -3, -172, -168, -148, -130, -110, -85, -82, -75, -114, 
##     -150, -163, -172, -152, -171, -135, -147, -139, -139, -46, 
##     -51, -35, -74, -34, -40, -22, 63, 58, 110, 99, 119, 148, 
##     176, 176, 147, 128, 137, 148, 150, 146, 136, 143, 135, 137, 
##     140, 139, 137, 64, 49, 28, 16, -118, -111, -176, -181, -195, 
##     -179, -151, -155, -165, -153, -153, -196, -138, -93, -73, 
##     -62, -58, -144, -156, -184, -183, -185, -132, -145, -162, 
##     -168, -144, -186, -176, -138, -135, -60, -57, -124, -57, 
##     -33, -5, 31, 20, 33, 26, 45, 78, 105, 113, 120, 142, 126, 
##     146, 169, 161, 171, 107, 88, 107, 137, 129, 79, 47, 31, 42, 
##     36, 38, 25, -51, -41, -61, -138, -172, -169, -165, -144, 
##     -139, -132, -88, -75, -63, -54, -57, -97, -152, -182, -174, 
##     -174, -162, -161, -94, -128, -127, -79, -70, -63, -67, -36, 
##     -12, -9, 41, 54, 47, 43, 62, 67, 100, 128, 113, 125, 127, 
##     119, 99, 91, 106, 93, 94, 98, 114, 113, 67, 28, 3, -63, -48, 
##     -102, -114, -131, -231, -234, -226, -196, -201, -175, -130, 
##     -55, -98, -143, -179, -181, -193, -156, -174, 221, 229, 230, 
##     226, 229, 226, 225, 228, 224, 227, 227, 224, 229, 234, 236, 
##     231, 227, 227, 227, 225, 223, 222, 222, 237, 223, 225, 230, 
##     227, 217, 222, 230, 234, 236, 235, 224, 218, 214, 224, 231, 
##     235, 236, 233, 228, 216, 219, 238, 227, 224, 232, 241, 237, 
##     229, 230, 216, 218, 227, 233, 238, 238, 225, 237, 228, 238, 
##     230, 225, 219, 232, 233, 228, 227, 226, 228, 227, 230, 230, 
##     230, 227, 227, 229, 230, 231, 226, 229, 226, 228, 228, 229, 
##     231, 232, 227, 225, 225, 227, 228, 230, 232, 230, 229, 230, 
##     230, 230, 230, 230, 224, 233, 232, 226, 225, 226, 228, 228, 
##     227, 227, 228, 229, 228, 228, 228, 224, 221, 226, 224, 220, 
##     223, 225, 225, 233, 231, 226, 223, 229, 225, 227, 225, 231, 
##     230, 228, 229, 227, 228, 228, 229, 229, 228, 230, 229, 230, 
##     228, 228, 230, 228, 226, 228, 228, 228, 227, 229, 230, 224, 
##     231, 233, 231, 229, 228, 230, 232, 230, 228, 221, 225, 235, 
##     232, 230, 232, 233, 226, 228, 220, 227, 226, 226, 224, 232, 
##     233, 232, 227, 225, 222, 224, 227, 230, 241, 240, 234, 244, 
##     244, 234, 237, 230, 226, 221, 232, 237, 237, 232, 225, 223, 
##     224, 227, 233, 230, 220, 226, 247, 238, 224, 216, 213, 225, 
##     217, 246, 218, 224, 241, 238, 241, 226, 218, 231, 247, 233, 
##     224, 223, 229, 225, 229, 229, 228, 227, 231, 232, 230, 228, 
##     230, 230, 229, 232, 228, 230, 230, 229, 238, 239, 219, 226, 
##     225, 230, 249, 247, 224, 208, 209, 223, 237, 230, 231, 227, 
##     224, 221, 227, 225, 226, 223, 228, 229, 228, 229, 226, 226, 
##     231, 227, 224, 226, 225, 225, 226, 223, 226, 232, 226, 231, 
##     229, 230, 223, 229, 235, 229, 227, 228, 221, 228, 227, 231, 
##     233, 230, 225, 224, 230, 230, 226, 227, 228, 223, 228, 231, 
##     230, 232, 227, 238, 236, 222, 224, 232, 225, 223, 247, 217, 
##     221, 219, 242, 251, 260, 278, 288, 250, 254, 274, 280, 211, 
##     166, 67, -15, -41, -45, -43, -93, -157, -117, -173, -192, 
##     -227, -205, -279, -257, -259, -237, -200, -199, -187, -119, 
##     -96, -129, 63, -97, -38, -144, 154, -14, 13, 174, 143, 63, 
##     168, 195, 216, 235, 253, 197, 142, 233, 204, 206, 201, 219, 
##     239, 232, 237, 231, 171, 125, 118, 103, -47, -53, -102, -122, 
##     -127, -139, -173, -165, -180, -267, -219, -216, -204, -220, 
##     -234, -209, -147, -173, -92, -111, -86, 173, -51, 123, 95, 
##     90, 153, 225, 238, 162, 152, 184, 187, 164, 174, 204, 211, 
##     218, 240, 237, 201, 176, 116, 72, 23, 17, -11, -104, -98, 
##     -155, -158, -162, -178, -191, -194, -173, -160, -167, -122, 
##     -123, -94, -15, 43, 121, 83, 151, 178, 206, 244, 229, 213, 
##     236, 249, 199, 179, 205, 201, 201, 192, 232, 213, 224, 215, 
##     194, 173, 140, 145, 3, 13, -92, -93, -159, -198, -190, -259, 
##     -215, -163, -174, -201, -205, -216, -206, -182, -191, -185, 
##     -152, -134, -144, -127, -140, 33, -75, 106, -96, 80, 94, 
##     233, 283, 213, 217, 223, 200, 217, 186, 193, 196, 212, 204, 
##     185, 173, 134, 122, 23, -5, -98, -95, -183, -233, -143, -180, 
##     -169, -208, -215, -190, -200, -166, -182, -140, -57, -71, 
##     -51, 18, -26, 70, 87, 161, 162, 253, 235, 246, 182, 179, 
##     169, 195, 252, 276, 222, 197, 188, 200, 196, 145, 103, 99, 
##     98, -3, -26, -65, -107, -142, -181, -161, -193, -243, -213, 
##     -204, -206, -198, -176, -236, -186, -176, -223, -212, -19, 
##     -37, -99, -3, 229, 11, -22, 137, 188, 203, 262, 292, 257, 
##     239, 216, 153, 194, 228, 206, 206, 200, 206, 249, 262, 216, 
##     187, 172, 147, 112, 90, 65, 45, 23, 5, -24, -55, -55, -54, 
##     -166, -133, -182, -222, -211, -199, -205, -222, -206, -198, 
##     -106, -137, 49, 100, -16, 65, 163, 211, 233, 243, 223, 214, 
##     194, 187, 194, 196, 184, 174, 194, 217, 200, 211, 216, 108, 
##     121, 108, 126, 53, 24, -58, -71, -48, -123, -138, -233, -232, 
##     -187, -190, -195, -192, -188, -213, -191, -195, -157, -150, 
##     -59, 25, -94, 59, 108, 114, 98, 95, 160, 235, 244, 257, 274, 
##     236, 231, 237, 189, 188, 198, 230, 228, 211, 206, 232, 176, 
##     144, 134, 100, 45, 8, -17, -88, -131, -86, -122, -232, -143, 
##     -147, -178, -188, -184, -207, -165, -178, -29, -99, -14, 
##     25, 142, 82, -52, 4, 105, 53, 78, 159, 169, 302, 267, 215, 
##     146, 189, 191, 199, 183, 189, 245, 213, 160, -39, -69, -77, 
##     -112, -135, -237, -233, -226, -236, -245, -251, -227, -177, 
##     -101, -137, -18, -130, -70, -29, 38, 44, 92, -55, -42, -48, 
##     -37, -40, -39, -48, -61, -60, -55, -53, -52, -54, -55, -53, 
##     -51, -49, -51, -52, -50, -51, -52, -54, -50, -51, -52, -53, 
##     -50, -51, -50, -50, -52, -50, -50, -49, -48, -48, -49, -50, 
##     -50, -51, -52, -50, -54, -53, -51, -53, -53, -53, -53, -50, 
##     -47, -54, -55, -72, -72, -74, -121, -166, -168, -229, -208, 
##     -282, -288, -288, -329, -331, -356, -371, -71, -40, -8, -43, 
##     -58, -47, -23, -15, -5, -22, -21, -9, -11, -1, -7, -15, -10, 
##     -17, -3, -17, -53, -51, -60, -395, -370, -382, -397, -394, 
##     -395, -395, -375, -351, -347, -331, -318, -308, -317, -307, 
##     -307, -289, -257, -238, -223, -384, -389, -390, -381, -380, 
##     -386, -395, -379, -378, -369, -370, -352, -355, -334, -347, 
##     -332, -297, -326, -327, -278, -247, -301, -329, -346, -322, 
##     -325, -361, -353, -356, -377, -369, -376, -375, -382, -375, 
##     -382, -379, -378, -373, -371, -377, -359, 30, -13, 1, 11, 
##     10, 16, 20, 16, 11, 14, 17, 15, 15, 9, 7, 11, 13, 14, 8, 
##     3, -1, 24, 28, 24, 24, 28, 31, 27, 9, -8, -26, -12, 19, 33, 
##     41, 27, 23, 18, 13, 17, 5, -1, -5, -8, 7, 8, -15, -14, -7, 
##     -1, -13, -13, -4, -2, -3, 2, 12, 8, 6, 6, 4, 5, 5, 3, 5, 
##     5, 6, 5, 6, 5, 4, 4, 5, 5, 3, 3, 4, 5, 4, 3, 4, 5, 3, 5, 
##     5, 4, 3, 1, 6, 3, 4, 5, 5, 8, 5, 5, 1, 1, 2, 3, 5, 3, 3, 
##     3, 5, 2, 1, 3, 4, 6, 11, 7, 5, 3, 5, 5, 4, 6, 7, 9, 8, 6, 
##     7, 9, 6, 4, 2, -3, -3, 1, -1, -1, 0, 1, 3, 5, 5, 3, 5, 3, 
##     4, 5, 5, 6, 4, 4, 1, 7, 6, -1, 3, 4, 2, 1, 3, 5, 8, 0, 7, 
##     15, 0, -4, -2, -1, -3, -4, 1, 7, 11, 12, 12, 8, 12, 13, 10, 
##     8, 11, 11, 10, 11, 11, 7, 7, 6, 7, 1, -1, 0, 3, 3, 8, 8, 
##     8, 8, 10, 7, 4, -5, 0, 11, 1, 3, 11, 5, 8, 12, 12, 7, 9, 
##     4, 7, 9, 10, 12, 12, 8, 6, 7, 9, 9, 9, 9, 8, 9, 6, 7, 9, 
##     4, 3, 3, 9, 8, -2, -18, -13, -22, -47, -57, -43, -37, -111, 
##     -110, -112, -195, -208, -229, -226, -208, -201, -218, -227, 
##     -227, -239, -190, -177, -180, -183, -196, -196, -186, -178, 
##     -180, -170, -186, -201, -207, -200, -185, -181, -175, -172, 
##     -177, -178, -189, -189, -185, -185, -184, -191, -193, -193, 
##     -193, -191, -194, -192, -193, -192, -192, -192, -192, -191, 
##     -196, -195, -195, -195, -189, -192, -188, -185, -185, -183, 
##     -184, -172, -174, -184, -181, -188, -191, -194, -203, -200, 
##     -210, -215, -222, -224, -225, -221, -213, -200, -186, -186, 
##     -184, -180, -181, -175, -178, -175, -146, -132, -129, -110, 
##     -94, -74, -78, -94, -88, 3, -1, -3, -2, -33, -46, -66, -66, 
##     -45, 55, 38, 18, -31, 2, -13, -15, -12, -14, -12, -14, -17, 
##     -14, -13, -15, -16, -14, -17, -17, -16, -21, -22, -17, -17, 
##     -37, -33, -51, -65, -61, -70, -22, -119, -148, -134, -129, 
##     -166, -210, -198, -190, -225, -253, -254, -273, -279, -317, 
##     -319, -327, -400, -378, -360, -363, -399, -386, -401, -441, 
##     -472, -424, -434, -449, -460, -438, -419, -416, -392, -393, 
##     -382, -394, -304, -378, -329, -304, -278, -266, -251, -181, 
##     -164, -109, -42, -47, -59, -48, -57, -67, -57, -85, -76, 
##     -71, -77, -72, -84, -109, -127, -167, -210, -222, -228, -306, 
##     -301, -332, -370, -378, -376, -378, -401, -390, -373, -421, 
##     -445, -441, -441, -453, -464, -424, -432, -422, -472, -425, 
##     -498, -390, -393, -477, -306, -444, -326, -333, -169, -213, 
##     -248, -296, -279, -273, -262, -262, -323, -412, -451, -363, 
##     -366, -334, -376, -387, -401, -431, -409, -410, -417, -417, 
##     -443, -431, -438, -438, -451, -407, -378, -374, -412, -326, 
##     -333, -331, -323, -269, -177, -143, -193, -249, -203, -159, 
##     -208, -155, -111, -282, -320, -313, -360, -398, -389, -391, 
##     -396, -427, -420, -443, -448, -422, -416, -438, -457, -444, 
##     -453, -455, -430, -428, -402, -425, -418, -391, -394, -391, 
##     -371, -399, -366, -357, -351, -291, -298, -302, -267, -243, 
##     -242, -226, -183, -216, -151, -143, -117, -86, -94, -51, 
##     -71, -67, -73, -75, -69, -66, -76, -93, -87, -135, -122, 
##     -109, -82, -158, -191, -204, -225, -269, -276, -250, -331, 
##     -325, -332, -362, -353, -414, -452, -456, -457, -445, -453, 
##     -449, -434, -443, -399, -434, -418, -414, -361, -385, -364, 
##     -350, -313, -261, -237, -193, -171, -162, -160, -123, -62, 
##     -61, -23, -24, -27, -54, -32, -34, -44, -58, -55, -63, -74, 
##     -58, -68, -90, -88, -136, -125, -155, -176, -195, -198, -221, 
##     -260, -284, -245, -318, -335, -375, -413, -428, -388, -396, 
##     -424, -451, -451, -423, -420, -443, -455, -438, -466, -466, 
##     -433, -449, -453, -423, -421, -406, -392, -379, -343, -312, 
##     -288, -256, -251, -276, -234, -233, -249, -165, -197, -202, 
##     -136, -145, -88, -68, -62, -60, -54, -54, -33, -20, -26, 
##     13, -19, -75, -67, -50, -43, -18, -66, -70, -73, -59, -100, 
##     -121, -119, -140, -204, -250, -245, -228, -274, -288, -286, 
##     -317, -344, -356, -363, -416, -419, -411, -408, -415, -411, 
##     -436, -464, -469, -447, -422, -415, -423, -437, -443, -462, 
##     -463, -464, -437, -431, -438, -440, -424, -405, -424, -372, 
##     -366, -369, -362, -281, -344, -275, -326, -297, -231, -242, 
##     -214, -88, -168, -76, -88, -121, -105, -281, -294, -328, 
##     -294, -297, -322, -359, -385, -381, -354, -440, -409, -443, 
##     -433, -455, -433, -442, -450, -452, -447, -441, -447, -453, 
##     -446, -442, -434, -440, -445, -443, -420, -445, -440, -427, 
##     -414, -379, -364, -404, -376, -360, -362, -379, -391, -361, 
##     -299, -268, -241, -252, -314, -307, -305, -314, -336, -325, 
##     -325, -283, -246, -242, -231, -261, -205, -211, -196, -158, 
##     -178, -183, -138, -108, -103, -87, -88, -112, -106, -46, 
##     -47, -58, -47, -57, -39, -38, -51, -44, -45, -55, -33, -48, 
##     -58, -93, -96, -124, -133, -160, -188, -185, -214, -212, 
##     -273, -276, -291, -302, -310, -336, -353, -361, -343, -365, 
##     -379, -391, -397, -388, -395, -403, -383, -386, -389, -396, 
##     -394, -400, -398, -394, -388, -386, -384, -369, -367, -371, 
##     -351, -356, -347, -346, -353, -352, -349, -319, -354, -329, 
##     -321, -284, -285, -265, -273, -189, -173, -164, -175, -149, 
##     -142, -141, -98, -100, -86, -55, -116, -71, -60, -55, -50, 
##     -42, -28, -26, -58, -32, -5, -40, -56, -39, -37, -40, -18, 
##     -30, -55, -53, -69, -71, -82, -87, -83, -56, -34, -61, -72, 
##     -73, -41, -35, -47, -70, -65, -116, -124, -126, -126, -137, 
##     -155, -137, -156, -196, -205, -233, -237, -276, -274, -298, 
##     -304, -26, -41, -45, -41, -20, -8, -11, -8, -17, -17, -13, 
##     -33, -17, -8, -2, -9, -21, -12, -14, -12, -14, -11, -15, 
##     -181, -179, -178, -181, -181, -182, -175, -174, -189, -182, 
##     -173, -169, -169, -169, -167, -161, -164, -164, -166, -168, 
##     -182, 6, 9, 11, 14, 3, 3, 8, 6, 5, -1, 16, 18, 25, 17, 18, 
##     10, 12, 4, 4, 6, 5, 4, 5, 3, 4, 5, 11, 0, 2, -1, -1, 4, 8, 
##     4, 2, 222, 229, 223, 227, 229, 230, 227, 232, 227, 227, 227, 
##     231, 234, 228, 229, 224, 224, 234, 237, 235, 237, 231, 230, 
##     221, 229, 224, 227, 234, 239, 243, 238, 213, 223, 221, 235, 
##     231, 202, 237, 273, 311, 276, 214, 193, 221, 232, 211, 206, 
##     229, 241, 237, 244, 235, 188, 197, 196, 180, 180, 188, 74, 
##     50, 30, 2, -64, -93, -71, -64, 169, 201, 176, 186, 212, 195, 
##     167, 111, 93, 49, 44, 47, 46, 66, 65, 93, 99, 134, 131, 139, 
##     166, 183, 161, 212, 200, -48, -57, -78, -74, -74, -74, -74, 
##     -78, -78, -83, -81, -84, -94, -85, -73, -73, -66, -47, 26, 
##     34, 137, 173, 154, 84, 34, 35, 21, -13, -13, -24, -63, -64, 
##     -51, -5, -15, -36, -53, -61, -76, -83, -79, -88, -92, -71, 
##     -94, -98, -85, -82, -78, 149, 165, 206, 215, 240, 230, 216, 
##     225, 194, 201, 200, 171, 192, 103, 136, 112, 85, 88, 89, 
##     41, 44, -38, -52, -55, -60, -57, -55, -56, -55, -58, -57, 
##     -57, -56, -56, -58, -58, -57, -56, -55, -57, -58, -54, -56, 
##     -58, -58, -59, -57, -55, -54, -56, -55, -72, -60, -85, -73, 
##     -66, -43, -19, -393, -46, -39, -4, 8, -33, -29, -80, -55, 
##     -43, -42, -45, -50, -36, -30, -28, -35, -55, -60, -56, -61, 
##     -57, -58, -56, -56, -57, -68, -64, -65, -54, -62, -66, -51, 
##     -42, -39, -37, -25, -25, -14, -25, -64, -65, -65, -62, -54, 
##     -57, -62, -59, -64, -61, -58, -59, -55, -54, -54, -59, -57, 
##     -56, -62, -65, -64, -59, -58, -58, -57, -44, 5, 2, 30, 34, 
##     82, 93, 113, 111, 104, 110, 106, 91, 108, 67, 54, 55, 51, 
##     54, -41, -28, -58, -77, -53, -93, -121, -156, -194, -175, 
##     -169, -126, -138, -135, -147, -76, -78, -48, -48, -30, -2, 
##     86, 89, -127, -199, -212, -211, -135, -121, -126, -91, -75, 
##     -66, -57, -20, 16, 2, 21, 77, 84, 77, 91, 97, -159, -181, 
##     -188, -207, -207, -211, -159, -137, -184, -216, -208, -192, 
##     -179, -156, -189, -111, -124, -117, -86, 136, 139, 136, 135, 
##     123, 136, 124, 117, 121, 108, 99, 98, 100, 86, 83, 81, 79, 
##     36, 30, 15, 12, 9, -2, -35, -40, -60, -86, -80, -151, 147, 
##     150, 61, 62, 98, 133, 157, 173, 177, 113, 113, 105, 88, 109, 
##     104, 114, 108, 87, 64, 47, 15, 11, -15, -30, -46, -51, -88, 
##     -148, -183, -167, -179, -180, -183, 108, 82, 101, 100, 74, 
##     89, 60, 42, 44, -3, -41, -56, -68, -74, -90, -99, -135, -132, 
##     -182, -181, -182, -175, -164, -95, -100, -107, -128, -177, 
##     -182, -148, -182, -166, -188, -42, -86, -50, -46, -1, -20, 
##     -38, -19, 33, 75, 80, 81, 62, 51, 63, 80, 109, 121, 103, 
##     91, 96, 87, 75, 60, 61, 15, 7, 1, -29, -20, -100, -103, -100, 
##     -125, -145, -158, -176, -170, -150, -146, -76, -104, -125, 
##     -123, -147, -140, -173, -165, -145, -149, 100, 96, 100, 114, 
##     138, 127, 140, 126, 137, 135, 130, 133, 138, 132, 134, 132, 
##     135, 133, 132, 133, 136, 137, 137, 147, 133, 131, 132, 134, 
##     133, 130, 144, 139, 106, 95, 95, 92, 72, 72, 53, 23, 12, 
##     -6, -9, -33, -64, -81, -92, -130, -154, -123, -137, -166, 
##     -126, -122, -81, -79, -23, -60, -88, -96, -121, -130, -93, 
##     -84, -76, -75, 57, 8, 17, 149, 127, 115, 115, 106, 123, 140, 
##     102, 99, 80, 88, 93, 95, 88, 86, 97, 90, 59, 61, -20, -79, 
##     -93, -90, -126, -144, -117, -127, -10, -2, -59, -81, -76, 
##     -90, -87, -96, -85, -127, -99, -97, -117, -94, -128, -102, 
##     -68, -105, -109, -107, -63, -2, -19, -11, 25, 86, 74, 100, 
##     124, 124, 104, 77, 76, 99, 94, 95, 81, 68, 48, -8, 13, -4, 
##     -94, -60, -101, -102, -115, -119, -128, -122, -102, -106, 
##     -26, 25, 62, 42, 38, 40, 5, -50, -77, -108, -124, -128, -119, 
##     -129, -79, -97, -118, -72, -84, 25, 0, -110, -112, -114, 
##     -138, -99, -77, 8, 3, 14, -11, -13, -56, -46, -20, -51, -38, 
##     24, 35, -19, -50, 2, 32, 90, 70, 45, 68, 116, 100, 86, 83, 
##     111, 100, 101, 80, 44, 37, 33, 22, 1, -38, -74, -88, -112, 
##     -121, -93, -95, -88, -122, -104, -90, 30, 26, -17, 0, -7, 
##     6, 17, -25, -37, -45, -80, -87, -61, -53, -24, -25, -23, 
##     -6, -11, -58, 135, 87, 64, 105, 134, 87, 93, 95, 102, 123, 
##     115, 102, 113, 108, 96, 96, 52, 27, -23, -48, -73, -66, -97, 
##     -79, -62, -91, -88, 16, -42, -35, -65, -58, -9, 149, 116, 
##     110, -21, -52, -41, -24, -75, -62, -35, -9, 13, -26, 77, 
##     53, 10, -15, -52, -62, -71, -100, -115, -71, -88, -117, 28, 
##     -77, -39, 2, -32, 11, 23, 71, 32, 47, 26, 61, 146, 170, 196, 
##     185, 147, 99, 130, 115, 103, 109, 96, 74, 89, 99, 84, 68, 
##     -30, -32, -42, -57, -79, -63, -59, -54, -67, 4, -51, -21, 
##     95, 71, 50, 45, -11, -20, -40, -52, -29, -51, -22, -41, 37, 
##     -11, -58, 2, -67, -41, 42, 31, 57, -138, -28, -49, -99, -102, 
##     -75, -79, -83, -62, -54, -65, -85, -67, -65, -83, -85, -107, 
##     -91, -89, -92, -90, -85, -92, -85, -80, -80, -70, -59, -66, 
##     -55, -46, -38, -38, -16, 7, 41, 74, 88, 106, 147, 158, 176, 
##     266, 258, 244, 231, 221, 200, 164, 108, 92, 73, 38, 34, 3, 
##     -20, -75, -85, -203, -244, -233, -237, -174, -40, -32, 0, 
##     39, 45, 102, 134, 172, 205, 168, 212, 166, 196, 182, 187, 
##     190, 171, 125, 70, 43, 15, 3, -11, -28, -54, -91, -83, -101, 
##     -89, -69, -77, -75, -67, -53, -44, -37, -12, 3, 41, 79, 113, 
##     110, 144, 156, 207, 236, 225, 225, 213, 193, 133, 128, 109, 
##     88, 16, 1, -6, -66, -97, -128, -183, 54, -22, -36, -59, -41, 
##     -48, -48, -69, -76, -80, -83, -93, -100, -89, -86, -78, -71, 
##     -62, -31, -37, -1, 17, 35, 50, 67, 98, 123, 137, 153, 167, 
##     176, 190, 185, 183, 190, 193, 157, 135, 96, 61, 54, 21, 15, 
##     -4, -32, -103, -140, -206, -231, -257, -274, -195, -175, 
##     -140, -135, -107, -83, -44, 22, 29, 79, 109, 132, 146, 189, 
##     195, 202, 91, 90, 89, 81, 63, 54, 34, 21, 8, -44, -47, -51, 
##     -64, -49, -54, -69, -63, -74, -83, 86, 71, 72, 6, -9, -36, 
##     -68, -136, -177, -285, -315, -251, -212, -175, -161, -127, 
##     -106, -78, 11, 47, 80, 107, 193, 218, 187, 158, 127, 96, 
##     99, 104, 81, 32, -13, -24, -41, -59, -66, -56, -64, -51, 
##     -42, -46, -35, -61, -81, -61, -61, -63, -61, -25, -28, 36, 
##     49, 71, 181, 201, 203, 200, 180, 176, 161, 159, 132, 132, 
##     92, 86, 61, 23, -53, -89, -138, -202, -263, -298, -273, -133, 
##     -74, -66, -47, 41, 85, 148, 173, 209, 198, 197, 148, 105, 
##     84, 111, 71, 62, 13, 8, -12, -70, -69, -54, -68, -67, -57, 
##     -41, -49, -47, -49, -48, -53, -47, -22, 19, 14, 84, 169, 
##     180, 182, 186, 180, 157, 121, 106, 24, -69, -99, -104, -125, 
##     -175, -356, -354, -263, -185, -164, -168, -128, -101, -76, 
##     -45, -22, -4, 75, 81, 103, 189, 226, 224, 192, 194, 166, 
##     152, 146, 94, 53, 15, 2, -41, -72, -88, -88, -54, -41, -45, 
##     -44, -42, -47, -51, -152, -112, -89, -78, -66, -15, 9, 24, 
##     64, 77, 145, 162, 178, 189, 169, 186, 123, 136, 83, 79, -1, 
##     -70, -66, -57, -60, -45, -30, -45, -42, -44, -55, -53, -49, 
##     -53, -16, -4, 0, 30, 51, 59, 95, 109, 119, 198, 181, 159, 
##     157, 150, 135, 61, 41, 11, -42, -90, -91, -102, -284, -330, 
##     -301, -276, -239, -212, -158, -122, -41, 13, 89, 113, 151, 
##     157, 194, 173, 189, 173, 129, 114, -156, -170, -184, -127, 
##     -112, -47, -47, -53, -9, -16, 27, 43, 30, 62, 78, 112, 120, 
##     116, 106, 98, 93, 88, 98, 109, 116, 132, 84, 13, 11, 8, 10, 
##     -27, -75, -85, -116, -147, -183, -159, -181, -179, -195, 
##     -176, -178, -155, -122, -80, -76, -170, -178, -188, -178, 
##     -188, -156, -150, -157, -86, -73, -36, -17, -44, -34, -54, 
##     -40, -7, 62, 58, 75, 135, 109, 148, 130, 128, 78, 87, 80, 
##     75, 101, 97, 111, 96, 25, -20, -24, -19, -51, -49, -108, 
##     -155, -225, -212, -194, -165, -138, -119, -79, -119, -148, 
##     -162, -176, -170, -180, -162, -157, -188, -193, -166, -145, 
##     -136, -128, -149, -59, -91, -19, -46, 132, 139, 137, 135, 
##     133, 131, 141, 140, 139, 131, 140, 140, 136, 136, 136, 140, 
##     139, 148, 136, 142, 140, 146, 138, 140, 141, 144, 144, 142, 
##     136, 137, 139, 139, 133, 136, 136, 132, 130, 133, 131, 132, 
##     132, 131, 133, 114, 101, 74, 48, -29, -56, -55, -77, -113, 
##     -112, -136, -128, -150, -149, -147, -139, -147, -146, -101, 
##     -91, -41, 25, -18, 13, 29, 54, 56, 46, 71, 78, 82, 59, 56, 
##     51, 20, 26, 28, 21, 34, -20, -40, -70, -66, -64, -124, -133, 
##     -96, -78, -62, -52, 14, 85, 117, 156, 168, 134, -13, -42, 
##     -20, -6, -28, -32, -99, -125, -166, -129, -157, -141, -141, 
##     -111, -106, -70, -72, 8, -20, 4, 54, 63, 60, 55, 38, 36, 
##     28, 29, 41, 28, 27, 37, 52, 46, 37, -15, -78, -104, -86, 
##     -85, -131, -150, -167, -160, -153, -135, -35, 17, 8, 4, 6, 
##     28, 42, 43, 44, 18, -28, -22, -14, -4, 0, 5, 5, -6, -9, -62, 
##     -93, -108, -115, -111, -97, -119, -132, -152, -145, -107, 
##     -94, -37, -41, -41, 85, 103, 79, 67, 16, 11, -31, -41, -62, 
##     -80, -88, -93, -107, -112, -104, -126, 15, -52, -77, -70, 
##     -74, -92, -109, -156, -113, -73, -62, -20, -2, 31, 65, -7, 
##     -34, -45, -59, -112, -132, -149, -139, -162, -171, -133, 
##     -85, -69, -49, -21, -14, -5, 5, 24, 56, 64, 70, 84, 101, 
##     73, 31, 24, 27, 51, -45, -94, -111, -116, -130, -141, -118, 
##     -126, -96, -83, -66, 15, 34, 48, 44, 55, 51, 40, 28, 20, 
##     30, 14, 19, 33, 35, 26, -5, -51, -69, -104, -132, -129, -147, 
##     -139, -127, -135, -120, -116, -111, -88, -90, -82, -88, -54, 
##     -63, -33, -18, 35, 58, 38, 31, 70, 67, 41, 30, 21, 5, -9, 
##     -3, -3, -5, -17, -49, -54, -54, -123, -117, -121, -121, -114, 
##     -119, -111, -84, -78, -37, -31, -20, 41, 47, 56, 57, 58, 
##     58, 41, 34, -21, -32, -42, -80, -111, -127, -109, -112, -115, 
##     -131, -157, -186, -147, -86, -62, -38, -12, 21, -4, 19, 114, 
##     123, 101, 88, 76, 70, 52, 44, 76, 96, 62, 30, 9, -65, -66, 
##     -92, 136, 168, 198, 202, 259, 301, 191, 159, 185, 228, 228, 
##     203, 192, 194, 194, 192, 193, 185, 198, 208, 187, 169, 179, 
##     199, 188, 190, 213, 191, 189, 193, 190, 197, 192, 184, 189, 
##     188, 194, 190, 187, 188, 193, 178, 164, 142, 135, 221, 132, 
##     13, 26, -2, -71, -63, -54, -93, -108, -15, -133, -132, -98, 
##     -106, -76, -100, -97, 9, 1, 72, 94, 109, 168, 319, 303, 286, 
##     257, 174, 177, 102, 128, 151, 227, 195, 305, 271, 232, 209, 
##     133, 62, 0, -48, -41, -67, -80, -47, -92, -68, -68, -91, 
##     -84, -82, -90, -78, -64, 195, 214, 195, 111, 31, -48, -67, 
##     -100, -112, -42, -69, -49, -83, -68, -86, -88, -71, -96, 
##     -72, -23, -93, -71, 31, 132, 88, 79, 210, 250, 182, 162, 
##     162, 124, 136, 187, 209, 186, 162, 154, 150, 114, 71, -72, 
##     -82, -66, -26, -54, -78, -92, -86, -60, -56, -39, -45, -59, 
##     -81, -84, -78, -97, -74, -53, -77, 21, -68, 142, -20, 9, 
##     170, 222, 206, 218, 166, 128, 117, 113, 181, 157, 170, 164, 
##     95, 106, 93, 28, -21, -40, -100, -57, -32, -24, -93, -84, 
##     -71, -32, -49, -42, -55, 15, 9, -51, 71, 143, 200, 137, 359, 
##     240, 222, 250, 171, 132, 141, 176, 168, 205, 228, 160, 146, 
##     163, 158, 159, 125, 150, 167, 212, 230, 222, 173, 30, 9, 
##     12, -52, -77, 45, -10, -56, -51, -55, -28, -15, 21, 6, -17, 
##     115, 191, 310, 309, 184, 125, 118, 139, 130, 144, 128, 159, 
##     210, 175, 62, -11, -38, -22, -47, -10, -27, 11, -29, -57, 
##     -72, -65, -88, -98, -48, -51, -24, 75, 7, -52, -46, 88, 169, 
##     206, 202, 211, 238, 247, 239, 176, 141, 142, 133, 130, 154, 
##     224, 181, 210, 214, 238, 222, 135, 41, 56, -3, -58, -14, 
##     -4, -28, -10, -74, -51, -59, -39, -55, -62, -79, -79, -50, 
##     -9, -49, -168, 32, -25, 477, 163, 271, 265, 289, 232, 235, 
##     250, 146, 190, 22, -11, -36, -57, 29, 97, 158, 140, 175, 
##     216, 203, 193, 179, 183, 158, 169, 166, 197, 222, 198, 195, 
##     183, 170, 163, 214, 182, 181, 191, 191, 185, 194, -382, -381, 
##     -391, -385, -390, -401, -393, -391, -394, -389, -368, -341, 
##     -336, -338, -344, -319, -313, -293, -252, -16, -13, -10, 
##     -10, 0, 1, -4, -2, -4, 0, 3, 6, 12, 13, 12, 13, 15, 17, 8, 
##     13, 8, 15, 7, 16, 20, 18, 19, 24, 24, 26, 30, 26, 29, 31, 
##     34, 32, 51, 33, 24, 32, 43, 35, 45, 19, 23, 22, 32, 18, 21, 
##     20, 21, 33, 29, 2, -47, -75, -86, -64, -92, -89, -92, -70, 
##     -116, -153, -214, -238, -259, -259, -262, -279, -284, -294, 
##     -307, -293, -281, -264, -283, -287, -265, -275, -267, -277, 
##     -269, -266, -271, -265, -273, -269, -266, -276, -274, -272, 
##     -276, -262, -249, -310, -308, -270, -259, -257, -211, -84, 
##     -126, -134, -86, -89, -90, -48, -66, -60, -61, -54, -38, 
##     -15, 3, -8, -7, -11, -18, -16, -6, -15, -42, -75, -43, -301, 
##     -291, -294, -289, -291, -287, -292, -273, -273, -281, -282, 
##     -283, -283, -293, -291, -287, -280, -285, -281, -275, -278, 
##     -282, -279, -265, -277, -264, -284, 0, -9, -1, -13, -61, 
##     -102, -136, -136, -109, -183, -203, -210, -282, -290, -292, 
##     -284, -281, -294, -292, -288, -293, -308, -308, -291, -311, 
##     -305, -277, -281, -270, -278, -263, -276, -270, -268, -266, 
##     -259, -262, -266, -273, -266, -262, -278, -281, -276, -271, 
##     -269, -258, -304, -283, -262, -238, -238, -183, -90, -78, 
##     -82, -47, -1, -76, -92, -112, -48, -21, 10, 24, 40, 42, 39, 
##     21, 8, -42, -20, -12, -21, -23, -31, -23, -43, -67, -85, 
##     -75, -68, -95, -101, -127, -127, -185, -218, -198, -231, 
##     -228, -273, -271, -305, -280, -293, -296, -318, -339, -315, 
##     -317, -275, -259, -240, -188, -139, -155, -177, -104, -93, 
##     -126, -80, -82, -76, -47, -27, 3, 8, -7, -4, -13, -11, 9, 
##     2, -3, 15, 8, 18, 20, -73, -6, -296, -305, -288, -292, -309, 
##     -295, -288, -283, -288, -277, -279, -276, -272, -271, -273, 
##     -275, -279, -285, -289, -264, -275, -277, -256, -267, -284, 
##     -279, -294, -260, -271, -248, -221, -216, -107, -140, -146, 
##     -105, -119, -110, -78, -61, -81, -80, -69, -65, -54, -29, 
##     -16, -20, -19, -3, 3, 11, 12, -3, -3, 7, -25, -18, -23, -40, 
##     -50, -62, -67, -45, -106, -143, -123, -138, -159, -234, -277, 
##     -276, -266, -273, -277, -290, -314, -333, -305, -309, -299, 
##     -299, -304, -290, -309, -305, -311, -308, -308, -293, -300, 
##     -304, -304, -318, -317, -307, -296, -336, -266, -286, -249, 
##     -286, -299, -264, -273, -242, -283, -204, -182, -149, -130, 
##     -158, -132, -155, -149, -161, -83, -84, -74, -41, -14, -17, 
##     -2, -11, -14, -14, -6, 5, 12, 17, 12, -14, 15, -18, -22, 
##     -8, -30, -42, -44, -38, -26, -62, -73, -75, -80, -112, -157, 
##     -158, -211, -207, -220, -246, -234, -240, -249, -308, -312, 
##     -327, -338, -321, -331, -338, -345, -346, -332, -340, -351, 
##     -323, -318, -327, -302, -296, -291, -299, -289, -323, -310, 
##     -311, -298, -295, -301, -307, -289, -283, -252, -168, -137, 
##     -161, -111, -125, -52, -50, -35, -30, -19, -12, 1, 22, 24, 
##     20, 11, 4, 5, 2, 6, 18, 11, 25, 20, 24, -42, -48, -68, -73, 
##     -64, -121, -142, -147, -185, -185, -217, -255, -291, -330, 
##     -289, -317, -293, -289, -293, -295, -319, -310, -298, -315, 
##     -318, -314, -298, -302, -306, -278, -310, -315, -310, -312, 
##     -275, -269, -269, -247, -253, -247, -239, -250, -266, -254, 
##     -278, -248, -257, -253, -171, -191, -64, -140, -83, -106, 
##     -95, -101, -98, -93, -94, -86, -67, -37, -26, -27, -13, -15, 
##     -11, -13, -14, -16, -11, -2, 8, 1, 12, -73, -106, -111, -140, 
##     -131, -176, -254, -221, -283, -280, -298, -274, -324, -311, 
##     -282, -302, -303, -221, -216, -117, -146, -150, -137, -136, 
##     -126, -84, -74, -54, -35, -40, -43, -49, -47, -41, -20, -15, 
##     -14, -20, -17, -17, -15, -398, -373, -392, -374, -349, -369, 
##     -355, -385, -340, -336, -358, -373, -339, -303, -294, -261, 
##     -220, -197, -216, -12, -9, -4, -3, -18, -22, -23, -17, -16, 
##     -20, -32, -41, -33, -36, -36, -24, -43, -82, -67, -94, -95, 
##     -110, -108, -141, -159, -177, -219, -230, -204, -211, -192, 
##     -171, -154, -142, -127, -146, -130, -104, -68, -26, -42, 
##     -75, -63, -73, -70, -49, -40, -45, -58, -54, -68, -431, -468, 
##     -467, -464, -449, -446, -440, -441, -461, -434, -448, -454, 
##     -442, -402, -385, -403, -461, -370, -444, -294, -379, -323, 
##     -283, -274, -271, -294, -266, -258, -280, -298, -140, -152, 
##     -158, -120, -98, -99, -104, -105, -86, -71, -70, -89, -77, 
##     -33, -36, -51, -47, -48, -57, -58, -64, -80, -91, -71, -110, 
##     -143, -163, -170, -209, -211, -373, -361, -332, -346, -358, 
##     -364, -390, -384, -410, -449, -455, -448, -439, -444, -412, 
##     -438, -457, -444, -428, -423, -450, -451, -453, -453, -460, 
##     -461, -464, -461, -431, -436, -427, -450, -462, -440, -446, 
##     -456, -445, -415, -443, -425, -420, -408, -398, -358, -376, 
##     -347, -360, -324, -341, -330, -280, -287, -230, -291, -207, 
##     -231, -162, -139, -120, -149, -132, -124, -123, -124, -89, 
##     -66, -76, -69, -72, -71, -71, -70, -70, -75, -72, -71, -66, 
##     -65, -68, -72, -69, -68, -69, -70, -72, -71, -84, -82, -56, 
##     -165, -172, -190, -184, -187, -237, -254, -216, -271, -280, 
##     -292, -293, -336, -377, -338, -374, -417, -400, -411, -414, 
##     -392, -383, -378, -391, -382, -372, -373, -289, -313, -270, 
##     -288, -296, -249, -229, -215, -164, -170, -76, -106, -44, 
##     -73, -40, -79, -15, 26, -453, -442, -403, -398, -409, -390, 
##     -359, -301, -292, -273, -277, -293, -293, -308, -316, -376, 
##     -384, -384, -378, -382, -402, -393, -384, -388, -373, -305, 
##     -304, -276, -225, -259, -285, -219, -256, -215, -79, -82, 
##     -108, -101, -59, -46, -40, -29, -39, -22, -24, -36, -44, 
##     -40, -39, -43, -40, -40, -51, -6, -60, -142, -136, -142, 
##     -126, -142, -198, -270, -290, -323, -360, -406, -398, -392, 
##     -402, -397, -369, -393, -398, -406, -382, -369, -365, -372, 
##     -381, -302, -311, -305, -356, -359, -370, -378, -373, -372, 
##     -377, -375, -399, -418, -406, -393, -376, -387, -398, -373, 
##     -361, -361, -337, -252, -201, -219, -223, -175, -125, -136, 
##     -130, -115, -70, -14, -35, -29, -12, -6, -31, -3, -15, -28, 
##     -19, -25, -14, -19, -39, -51, -21, -18, -30, -58, -104, -131, 
##     -196, -212, -248, -246, -291, -295, -336, -364, -363, -393, 
##     -421, -424, -422, -405, -409, -401, -378, -369, -378, -381, 
##     -318, -345, -362, -348, -350, -349, -355, -352, -364, -373, 
##     -383, -381, -375, -369, -435, -404, -396, -429, -412, -389, 
##     -392, -338, -308, -277, -236, -266, -241, -115, -67, -73, 
##     -71, -76, -75, -84, -75, -350, -320, -363, -420, -419, -417, 
##     -414, -408, -431, -418, -421, -421, -436, -430, -411, -401, 
##     -366, -329, -344, -337, -327, -328, -332, -350, -348, -363, 
##     -369, -362, -361, -382, -386, -379, -384, -396, -363, -370, 
##     -380, -383, -393, -333, -332, -313, -288, -221, -217, -202, 
##     -146, -157, -158, -130, -32, -34, -59, -72, -65, -25, -44, 
##     -50, -48, -44, -48, -27, -21, -44, -45, -50, -62, -44, -50, 
##     -93, -390, -390, -396, -385, -396, -406, -343, -292, -327, 
##     -342, -367, -370, -366, -373, -368, -435, -432, -401, -410, 
##     -361, -351, -382, -384, -323, -321, -361, -261, -365, -324, 
##     -172, -168, -208, -217, -178, -148, -142, -57, -44, -75, 
##     -28, -26, -18, -14, -24, -22, -45, -42, -38, -40, -28, -45, 
##     -54, -52, -40, -60, -54, -69, -95, -122, -124, -138, -154, 
##     -190, -262, -304, -314, -322, -379, -422, -422, -427, -422, 
##     -427, -419, -410, -432, -387, -379, -389, -363, -350, -368, 
##     -386, -402, -405, -403, -415, -418, -400, -402, -388, -402, 
##     -395, -363, -356, -402, -368, -395, -366, -331, -298, -343, 
##     -298, -256, -209, -180, -151, -54, -53, -38, -23, -9, -21, 
##     -32, -43, -57, -48, -45, -48, -44, -25, -9, -115, -107, -59, 
##     -134, -154, -220, -231, -265, -316, -351, -393, -416, -429, 
##     -407, -393, -389, -404, -390, -394, -353, -350, -356, -344, 
##     -343, -337, -349, -341, -345, -346, -349, -371, -374, -379, 
##     -380, -383, -379, -409, -388, -373, -384, -390, -390, -25, 
##     -38, -42, -27, -31, -254, -289, -295, -290, -325, -290, -344, 
##     -397, -363, -356, -377, -403, -386, -372, -379, -391, -367, 
##     -395, -387, -395, -391, -148, -161, -179, -135, -148, -175, 
##     -117, -89, -84, -67, -52, -74, -79, -56, -55, -61, -68, -64, 
##     -25, -16, -24, -35, -10, 14, 13, 20, 21, -11, -37, -22, -55, 
##     -51, -63, -76, -118, -118, -158, -164, -206, -199, -285, 
##     -271, -253, -283, -331, -341, -389, -373, -375, -360, -366, 
##     -383, -380, -386, -389, -397, -399, -395, -393, -377, -375, 
##     -379, -385, -385, -381, -394, -403, -394, -397, -380, -388, 
##     -389, -388, -392, -189, -180, -192, -200, -259, -276, -282, 
##     -335, -376, -382, -397, -391, -398, -382, -387, -415, -410, 
##     -432, -412, -418, -408, -31, -29, -21, -35, -36, -31, -43, 
##     -35, -37, -50, -54, -42, -62, -77, -71, -46, -108, -106, 
##     -107, -149, -158, -150, -153, -191, -247, -52, -42, -58, 
##     -61, -73, -91, -43, -122, -158, -190, -211, -290, -293, -279, 
##     -296, -355, -356, -433, -430, -407, -402, -409, -418, -412, 
##     -409, -398, -391, -357, -325, -305, -264, -288, -283, -292, 
##     -275, -285, -289, -298, -300, -298, -325, -374, -81, -111, 
##     -122, -154, -151, -164, -187, -262, -268, -365, -362, -374, 
##     -378, -402, -437, -420, -397, -432, -470, -451, 183, 182, 
##     184, 195, 205, 195, 181, 193, 203, 180, 184, 182, 190, 188, 
##     185, 193, 200, 185, 197, 190, 138, 156, 182, 239, 279, 340, 
##     316, 283, 59, 38, 79, 72, -7, -61, -19, -49, -47, -79, -49, 
##     -30, -33, -42, -40, -15, -71, -73, -55, -54, -45, 86, 29, 
##     3, 1, -20, -69, -49, -68, -83, -50, -66, -72, -107, -81, 
##     -71, -57, -93, -44, 6, 41, 222, 185, 95, 211, 198, 229, 254, 
##     272, -60, -127, -70, -36, 231, 94, 128, 189, 209, 216, 235, 
##     131, 138, 112, 124, 142, 135, 126, 225, 211, 198, 207, 189, 
##     195, 188, 190, 195, 193, 186, 191, 193, 199, 188, 191, 191, 
##     190, 195, 190, 192, 195, 195, 188, 192, 193, 193, 191, 196, 
##     184, 187, 197, 192, 192, 17, 8, -14, -36, -48, -81, -71, 
##     -84, -72, -63, -69, -48, -60, -65, -64, -71, -64, -61, -57, 
##     -54, -34, -37, 32, 62, 78, 123, -34, -24, 20, 21, 37, 143, 
##     241, 216, 202, 168, 167, 148, 130, 135, 83, 71, 51, 9, -47, 
##     -112, -150, -252, -257, -279, -286, -261, -230, -174, -76, 
##     -80, -4, -11, -32, -26, 21, 42, 57, 74, 80, 101, 156, 176, 
##     187, 199, 195, 199, 187, 110, 104, -316, -301, -248, -150, 
##     -102, -83, -47, -24, -13, 4, 21, 61, 109, 154, 148, 202, 
##     229, 223, 208, 217, 167, 163, 144, 143, 110, 110, 74, -102, 
##     -104, -100, -96, -104, -102, -102, -101, -102, -101, -101, 
##     -98, -100, -93, -93, -95, -98, -91, -92, -94, -91, -86, -92, 
##     -102, -97, -92, -89, -94, -89, -101, -97, -90, -99, -100, 
##     -101, -100, -97, -101, -96, -100, -102, -10, 96, 3, -6, 40, 
##     125, 69, 23, 54, 98, 71, 77, 123, 147, 138, 107, 116, 76, 
##     83, 84, 92, 119, 118, 116, 99, 113, 109, 107, 75, 85, 17, 
##     17, 137, 93, 102, 107, 76, 78, 83, 79, 62, 79, 78, 29, -13, 
##     -42, -16, -157, -95, -163, -86, -84, -93, -82, -51, -47, 
##     42, 74, 89, 97, 127, 129, 126, 103, -46, -62, -106, -103, 
##     -84, -66, -75, -60, -58, -31, 56, 72, 80, 49, 44, 5, -11, 
##     -13, -23, -28, -71, -37, -14, 44, 80, 96, 131, 137, 132, 
##     95, -5, -11, -22, -52, -50, -60, -73, -95, -122, -125, -132, 
##     -128, -167, -125, -108, 5, -42, -59, -66, -71, -75, -107, 
##     -121, -125, -124, -159, -147, -153, -137, -108, -80, -59, 
##     -65, -39, 2, 15, 20, -204, -199, -187, -181, -170, -175, 
##     -123, -119, -111, -57, -18, -13, -10, 19, 36, 32, 59, 58, 
##     36, 48, 10, 37, 48, -47, -8, 18, 71, 58, 17, 0, -33, -41, 
##     -26, -51, -78, -93, -133, -133, -152, -139, -136, -146, -186, 
##     -197, -191, -145, -98, 25, 22, 6, -17, -21, -41, -67, -90, 
##     -98, -105, -107, -152, -156, -175, -177, -170, -147, -92, 
##     -98, -41, -28, -5, 48, 15, -15, -11, -18, -25, -32, -50, 
##     -59, -113, -119, -106, -103, -105, -84, -76, -65, -62, -50, 
##     -33, 27, 117, 153, 144, 199, 81, 57, 41, 47, 37, 19, 0, 4, 
##     -2, -113, -116, -114, -133, -118, -130, -130, -122, -69, 
##     -30, -14, -16, -9, 2, 24, 39, 66, 71, 66, 51, 12, 81, 82, 
##     104, 113, 115, 87, 70, 112, 128, 128, 117, 108, 96, 131, 
##     123, 146, 127, 131, 136, 143, 129, 128, 140, 126, 78, 147, 
##     91, 156, 137, 137, 149, 102, 132, 141, 113, 117, 99, 87, 
##     112, 117, 110, 99, 79, 72, 94, 98, 57, 63, 29, -30, -25, 
##     -35, -50, -56, -61, -52, -18, -21, 48, 54, 30, 21, -24, -38, 
##     -35, -24, -70, 17, 14, 19, 61, -44, 42, 77, 90, 114, 143, 
##     155, 133, 149, 181, 115, 115, 124, 134, 107, 135, 114, 114, 
##     133, 119, 74, 38, 69, 64, 64, -57, -92, -106, -91, -80, -83, 
##     -89, -56, -28, -33, 35, 65, 67, -48, -68, -78, -71, -80, 
##     -85, -85, -66, -49, -77, -109, -57, -99, -116, -70, -62, 
##     -7, -3, -13, 84, 123, 162, 184, 171, 100, 139, 110, 114, 
##     116, 124, 125, 136, 152, 154, 127, 118, 110, 94, 92, 85, 
##     66, 76, 43, 14, -31, -28, -34, -101, -99, -66, -73, -74, 
##     -107, -135, -153, -157, -158, -151, -151, -180, -183, -189, 
##     -207, -193, -211, -186, -180, -171, -143, -81, -97, -82, 
##     -60, 34, 10, 8, 10, 14, -37, -38, -56, -93, -157, -153, -171, 
##     -132, -159, -145, -193, -205, -215, -221, -157, -138, -158, 
##     -108, -66, -103, -107, -69, -59, -18, -9, -9, -2, 50, 59, 
##     74, 93, 107, 132, 124, 128, 124, 99, 114, 101, 101, 117, 
##     141, 115, 82, 75, 78, 86, 66, 71, 56, 31, 19, 0, -27, -72, 
##     -102, -134, -97, -171, -163, -172, -183, -173, -141, -148, 
##     -145, -172, -169, -189, -179, -160, -175, -177, -133, -175, 
##     -84, -86, -77, -72, -2, 52, 45, 92, 94, 92, 91, 97, 81, 55, 
##     43, 32, 27, -1, -16, -31, -67, -95, -78, -114, -116, -126, 
##     -147, -144, -135, -147, -143, -181, -184, -183, -172, -198, 
##     -180, -174, -207, -69, -176, -46, -35, -19, 12, 26, 37, 45, 
##     56, 71, 124, 140, 111, 75, 104, 106, 109, 88, 54, 47, 39, 
##     41, 42, 28, 2, -50, -63, -72, -70, -118, -138, -180, -139, 
##     -126, -154, -159, -201, -143, -154, -136, -71, -103, -99, 
##     -64, 6, -48, -64, 8, 14, 44, 59, 81, 101, 78, 98, 100, 106, 
##     110, 99, 79, 33, 32, 38, 10, -8, -43, -96, -109, -118, -117, 
##     -136, -152, -183, -165, -167, -154, -174, -156, -172, -198, 
##     -156, -97, -103, -112, -129, -75, -49, -39, 4, 10, 13, 23, 
##     39, 46, 52, 97, 108, 132, 103, 83, 105, 110, 114, 127, 149, 
##     121, 126, 85, 73, 58, 48, -41, -87, -221, -296, -243, -218, 
##     -99, -92, -63, 31, 60, 96, 96, 94, 130, 159, 159, 187, 215, 
##     169, 146, 146, 119, 96, 82, 87, 8, -2, -17, -54, -63, -64, 
##     -59, -65, -52, -57, -51, -47, -42, -45, -50, -49, -44, -9, 
##     58, 140, 162, 182, 179, 178, 165, 167, 158, 103, 53, 40, 
##     23, -18, -33, -53, -59, -75, -182, -274, -264, -227, -114, 
##     -76, -6, 4, 25, 54, 80, 98, 121, 173, 181, 181, 200, 213, 
##     183, 210, 152, 81, 71, 29, -16, -42, -51, -57, -50, -85, 
##     -90, -83, -109, -105, -78, -66, -117, -110, -115, -125, -125, 
##     -131, -134, -119, -108, -104, -94, -63, -40, -11, -2, 2, 
##     60, 122, 123, 167, 149, 142, 159, 177, 123, 120, 134, 142, 
##     172, 171, 173, 177, 206, 164, 196, 195, 148, 145, 195, 156, 
##     108, 118, 107, -14, 24, 19, -6, -35, -22, -11, -27, -98, 
##     -112, -98, -91, -79, -72, -74, -74, -71, -84, -83, -76, -34, 
##     -45, -54, -41, -27, 6, 25, 65, 77, 91, 121, -80, -88, -110, 
##     -98, -96, -82, -74, -61, -58, -3, 19, 42, 106, -15, -19, 
##     -41, -46, -45, -48, -140, -85, -91, -31, -51, -50, -73, -79, 
##     -81, -77, -80, -74, -68, -36, 13, 21, 102, 135, 135, 131, 
##     160, 158, 146, 123, 135, 153, 167, 178, 192, 126, 187, 135, 
##     87, 59, -31, -14, -33, -76, -74, -86, -99, -85, -85, -84, 
##     -86, -89, -86, -80, -69, -68, -56, -43, 23, 79, 69, 74, 147, 
##     124, 161, 195, 186, 186, 170, 157, 142, 150, 168, 167, 177, 
##     185, 165, 137, 145, 103, 35, 72, -37, -9, -28, -122, -99, 
##     -99, -94, -94, -99, -103, -95, -88, -79, -61, -61, -50, -26, 
##     22, 40, 43, 70, 64, 112, 128, 132, 167, 160, 128, 125, 131, 
##     137, 129, 148, 155, 167, 166, 186, 166, 194, 177, 154, 159, 
##     163, 112, 90, 155, 72, 96, 56, 8, -45, -88, -108, -85, -75, 
##     -66, -84, -80, -76, -78, -52, 73, 108, 115, 121, 165, 156, 
##     157, 153, 165, 153, 148, 134, 121, 146, 164, 160, 162, 160, 
##     190, 209, 201, 185, 193, 165, 188, -84, -90, -75, -77, -63, 
##     -63, -45, -33, 27, 74, 88, 111, 105, 105, 127, 145, 179, 
##     179, 153, 179, 171, 172, 165, 181, 201, 208, 201, 182, 131, 
##     87, 113, 44, -37, -70, -74, -93, -125, -137, -113, -112, 
##     -80, -81, -95, -93, -89, -88, -87, -105, -83, -105, -83, 
##     -3, 17, 15, 47, 68, -68, -86, -79, -91, -86, -108, -122, 
##     -132, -131, -129, -151, -158, -174, -142, -109, -101, -54, 
##     -42, -41, -43, -7, 3, 12, 26, 59, 55, 68, 89, 94, 91, 88, 
##     103, 91, 105, 90, 92, 121, 100, 110, 107, 106, 108, 119, 
##     104, 115, 102, 108, 106, 121, 111, 114, 122, 119, 118, 125, 
##     142, 123, 103, 94, 93, 102, 108, 111, 129, 123, 102, 108, 
##     115, 111, 112, 126, 110, 120, 114, 120, 127, 110, 121, 119, 
##     118, 130, 125, 129, 132, 129, 128, 117, 118, 114, 129, 136, 
##     132, 132, 140, 135, 127, 132, 138, 143, 129, 130, 134, 122, 
##     125, 114, 112, 103, 93, 106, 111, 119, 114, 114, 112, 117, 
##     96, 102, 96, 104, 102, 101, 92, 85, 71, 60, 48, 55, 43, 40, 
##     26, -24, -40, -54, -72, -89, -119, -128, -115, -111, -116, 
##     -134, -141, -164, -204, -222, -202, -228, -196, -182, -177, 
##     -146, -162, -202, -224, -218, -227, -197, -167, -165, -132, 
##     -112, -92, -109, -5, -11, -3, 12, 13, 19, 36, 41, 43, 90, 
##     83, 86, 74, 57, 47, 52, 54, 60, 42, 49, 28, 15, 0, -14, -108, 
##     -191, -150, -134, -101, -108, -202, -195, -161, -126, -133, 
##     -140, -101, -147, -120, -143, -126, -72, -25, 60, 56, 72, 
##     70, 55, 19, 33, 39, 29, 4, -6, -4, -14, -68, -153, -169, 
##     -136, -173, -168, -166, -138, -147, -143, -157, -164, -171, 
##     -103, -149, -70, -29, -30, -52, -21, 10, -13, 24, 34, 44, 
##     53, 51, 15, 18, 33, 30, 19, 19, 26, 32, 48, 44, 36, 15, -12, 
##     -10, -30, -87, -106, -117, -172, -192, -191, -157, -159, 
##     -142, -110, -132, -72, -61, -47, -22, -8, 51, 55, 63, 71, 
##     64, 45, 25, 33, 32, 17, -28, -25, -40, -65, -97, -110, -123, 
##     -143, -143, -149, -164, -142, -145, -148, -160, -159, -168, 
##     -179, -194, -178, -173, -161, -67, -84, -62, -45, -24, -14, 
##     11, 32, 6, 75, 75, 69, 53, 25, 37, 45, 20, 24, 30, 42, 12, 
##     1, -76, 62, 51, 68, 61, 36, 31, 31, 34, 52, 59, 66, 51, 41, 
##     19, -34, -81, -121, -139, -209, -157, -148, -132, -99, -121, 
##     -118, -125, -134, -158, -178, -143, -199, -159, -167, -219, 
##     -115, -110, -45, -40, -11, 32, 52, 54, 46, 74, 82, 79, 42, 
##     11, 18, 48, 28, 35, 18, -40, -65, -109, -123, -127, -118, 
##     -117, -135, -136, -154, -167, -163, -158, -167, -173, -177, 
##     -154, -139, -123, -126, -132, -154, -154, -160, -178, -123, 
##     -115, -104, -112, -62, -63, -54, -98, -88, -1, -11, 31, 49, 
##     41, 61, 54, 29, 27, 19, 13, 15, 13, 14, 17, -18, -7, -18, 
##     -190, -151, -128, -117, 187, 191, 191, 196, 189, 189, 189, 
##     185, 187, 200, 189, 224, 172, 172, 155, 160, 101, 105, 68, 
##     51, 7, -18, -21, -5, -36, -31, -69, -93, -110, -127, -170, 
##     -153, -139, -177, -149, -194, -162, -125, -63, -61, -90, 
##     3, -52, 20, 36, 180, 121, 237, 142, 138, 209, 272, 218, 185, 
##     180, 188, 205, 193, 205, 181, 186, 178, 181, 187, 196, 211, 
##     198, 182, 190, 140, 148, 119, 85, 73, 63, -66, -37, -76, 
##     -85, -132, -160, -190, -158, -144, -115, -80, -93, -48, 69, 
##     63, 266, 188, 173, 193, 227, 244, 203, 208, 202, 177, 171, 
##     210, 195, 217, 211, 166, 110, 65, -28, -31, -45, -46, -85, 
##     -156, -156, -176, -197, -177, -135, -144, -55, -52, -84, 
##     -16, -27, -66, -74, -132, -125, -179, -153, -155, -163, -147, 
##     -67, -66, -39, -1, -40, -51, 38, 34, 206, 106, 99, 312, 256, 
##     220, 119, 148, 166, 162, 199, 219, 194, 178, 182, 209, 208, 
##     214, 131, 113, 80, 36, 37, -116, -106, -95, -161, -178, -251, 
##     -167, -153, -71, 239, 123, 14, 100, 166, 96, 155, 196, 251, 
##     225, 181, 140, 156, 176, 166, 167, 175, 191, 229, 179, 117, 
##     104, 126, 120, 83, 38, 12, -15, -145, -154, -106, -101, -171, 
##     -165, -162, -176, -123, -46, 78, -9, 25, 105, 174, 173, 128, 
##     106, 252, 245, 170, 155, 201, 160, 152, 160, 157, 200, 221, 
##     208, 118, 11, -11, -71, -83, -87, -101, -126, -125, -111, 
##     -119, -177, -137, -144, -146, -98, -100, -20, -1, 63, 147, 
##     188, 144, 144, 185, 244, 190, 158, 138, 154, 217, 211, 213, 
##     161, 14, -36, -17, -69, -130, -161, -189, -119, -74, 49, 
##     -23, 52, 162, 174, 58, 294, 298, 253, 176, 187, 173, 164, 
##     188, 187, 239, 251, 208, 164, 166, 92, 6, -60, -184, -172, 
##     -176, -153, -124, -151, -69, -103, -83, -31, 28, 33, 49, 
##     257, 109, 120, 113, 160, 181, 202, 220, 276, 184, 169, 188, 
##     250, 242, 183, 204, 232, 195, 192, 152, 130, 104, 41, -90, 
##     -98, -148, -137, -162, -167, -194, -188, -145, -86, -88, 
##     -37, -51, 50, 75, 137, 214, 201, 201, 137, 137, 179, 221, 
##     197, 191, 209, 178, 216, 197, 189, 186, 204, 204, 193, 202, 
##     191, 194, 190, 181, 192, 210, 197, 199, 206, 205, 194, 216, 
##     197, 181, 202, 178, 181, 188, 201, 182, 208, 207, 201, 191, 
##     199, 201, 184, 192, 190, 197, 199, 192, 205, 191, 191, 177, 
##     190, 211, 195, 168, 160, 139, 175, 131, 173, 172, 168, 168, 
##     168, 168, 139, 139, 139, 148, 49, 24, 43, 8, -74, -75, -66, 
##     -78, -120, -119, -122, -119, -106, -143, -159, -99, 5, 85, 
##     -85, 126, 234, 251, 199, 288, 275, 294, 201, 192, 159, 136, 
##     145, 254, 250, 261, 243, 240, 196, 207, 153, 110, -16, -56, 
##     -47, -29, -46, -34, -127, -104, -112, -114, -125, -130, -103, 
##     -91, 94, 179, 174, 216, 199, 227, 176, 168, 146, 204, 163, 
##     134, 161, 165, 150, 164, 169, 173, 164, 166, 169, 162, 177, 
##     171, 160, 158, 152, 170, 160, 168, 160, 176, 167, 169, 166, 
##     166, 167, 160, 177, 177, 177, 177, 166, 167, 168, 167, 173, 
##     168, 179, 172, 165, 182, 178, 187, 166, 163, 151, 143, 169, 
##     140, 129, 124, 119, 119, 106, 89, 119, 92, 7, 22, 54, -12, 
##     -47, -86, -91, -137, -120, 126, 26, -22, -124, -180, -117, 
##     -104, -87, -109, -129, -123, -120, -132, -48, -112, -94, 
##     -97, -108, -103, -113, -117, -129, -125, -125, -97, -108, 
##     -95, -122, -107, -105, -116, -92, -108, -114, -106, -98, 
##     -115, 10, 16, 23, -12, -17, -27, -24, -44, -85, -114, -161, 
##     -145, -152, -201, -213, -213, -220, -264, -263, -303, -307, 
##     -320, -325, -342, -330, -324, -309, -302, -285, -297, -284, 
##     -13, -18, -27, -4, -74, -46, -38, -40, -93, -131, -175, -202, 
##     -237, -235, -256, -277, -286, -309, -305, -322, -322, -347, 
##     -311, -319, -306, -280, -272, -254, -246, -305, -270, -234, 
##     -228, -170, -133, -132, -124, -125, -143, -137, -117, -109, 
##     -94, -98, -56, -77, -79, -56, -56, -50, -25, -23, -19, -22, 
##     -18, -12, -15, -4, 3, -54, -55, -71, -72, -95, -77, -102, 
##     -108, -111, -115, -137, -154, -197, -140, -213, -268, -251, 
##     -274, -265, -292, -312, -305, -306, -323, -306, -306, -281, 
##     -268, -277, -277, -268, -263, -253, -262, -260, -263, -251, 
##     -237, -231, -206, -183, -203, -196, -149, -135, -128, -96, 
##     -55, -127, 0, 39, 67, 14, 56, 29, 16, 71, 65, 60, 71, 91, 
##     109, 99, 98, 119, 128, 114, 100, 114, 69, 43, 49, 47, 56, 
##     113, 134, 98, 79, 82, 58, 86, 68, 70, 53, 87, 78, 72, 61, 
##     52, 56, 63, 69, 65, 44, 36, 32, 27, 37, 44, 70, 72, 67, 60, 
##     58, 61, 73, 51, 49, 58, 48, 76, 62, 69, 69, 73, 87, 89, 103, 
##     83, 31, 38, 24, 19, 27, 12, 24, 3, 2, 2, 10, 16, -15, 0, 
##     -32, -67, -62, -64, -96, -134, -135, -117, -195, -215, -251, 
##     -253, -254, -224, -290, -294, -311, -327, -343, -341, -340, 
##     -335, -345, -339, -356, -342, -327, -312, -277, -291, -266, 
##     -299, -300, -267, -256, -254, -250, -191, -190, -188, -176, 
##     -194, 36, 43, 46, 28, 19, 21, 32, 41, 9, -7, -30, -42, -40, 
##     -44, -75, -65, -96, -106, -105, -164, -116, -136, -167, -209, 
##     -225, -253, -298, -305, -308, -307, -323, -343, -340, -335, 
##     -339, -345, -345, -361, -368, -337, -340, -340, -327, -330, 
##     -328, -317, -304, -289, -276, -276, -246, -253, -215, -190, 
##     -141, -145, -141, -118, -99, -115, -123, -117, -76, -59, 
##     -82, -60, -21, -10, -36, -57, -29, -23, -4, -6, -9, -1, -3, 
##     35, 16, 4, -4, 31, 10, 28, 18, -15, -41, -20, -36, -32, -21, 
##     -33, -51, -68, -57, -123, -182, -189, -203, -264, -256, -251, 
##     -288, -285, -277, -288, -306, -322, -328, -315, -332, -336, 
##     -323, -332, -321, -329, -301, -304, -305, -263, -233, -201, 
##     -223, -202, -179, -185, -168, -135, -92, -98, -99, -59, -95, 
##     -38, -42, -17, 14, -6, -8, -23, -13, 1, 13, 21, 16, 16, 43, 
##     27, 9, 22, 46, 20, 21, 15, -18, -24, -1, -50, -44, -58, -73, 
##     -87, -84, -78, -160, -174, -148, -195, -91, -107, -34, -67, 
##     -79, -75, -57, -54, -59, -49, -20, -20, -16, -3, -9, -7, 
##     -6, -6, 4, 20, 23, 25, 22, 22, 26, 27, 8, -11, 6, 1, -22, 
##     -16, -26, -26, -16, -14, -53, -66, -83, -107, -102, -128, 
##     -116, -148, -171, -226, -218, -241, -274, -291, -304, -328, 
##     -325, -324, -302, -318, -305, -288, -256, -260, -256, -219, 
##     -227, -214, -193, -181, -164, -158, -105, -61, -63, -66, 
##     -53, -50, -42, -42, -27, -14, 10, 13, 12, 13, 19, 35, 33, 
##     31, 34, 33, 47, 29, 31, 44, 27, 43, 14, -4, -15, -23, -38, 
##     -22, -35, -70, -78, -169, -200, -234, -258, -294, -314, -323, 
##     -305, -333, -328, -337, -333, -349, -336, -338, -333, -328, 
##     -321, -320, -301, -297, -306, -269, -268, -263, -253, -213, 
##     -168, -177, -167, -97, -63, -76, -52, -23, -22, -11, 35, 
##     52, 94, 57, 46, 18, 10, 47, 37, 32, 39, 56, 36, 33, 27, -12, 
##     -8, -55, -33, -55, -59, -58, -111, -152, -169, -175, -203, 
##     -238, -244, -252, -278, -299, -308, -306, -312, -315, -320, 
##     -319, -323, -312, -321, -324, -326, -302, -286, -284, -276, 
##     -212, -227, -244, -263, -281, -301, -302, -300, -305, -313, 
##     -336, -311, -302, -291, -293, -242, -226, -217, -190, -173, 
##     -152, -141, -127, -83, -94, -94, -68, -67, -40, -47, -7, 
##     4, -1, 40, 30, 38, 41, 97, 95, 97, 88, 38, 33, 38, 29, 23, 
##     54, 74, 84, 88, 81, 72, 73, 80, 74, 65, 76, 76, 78, 78, 77, 
##     80, 86, 91, 83, 90, -327, -339, -331, -326, -329, -319, -318, 
##     -333, -305, -308, -305, -307, -319, -324, -315, -312, -304, 
##     -313, -306, -295, -294, -292, -266, -251, -213, -201, -206, 
##     -201, -170, -132, -94, -81, -86, -67, -61, -47, -4, 21, 5, 
##     -17, -19, -16, -8, 11, -2, -293, -286, -274, -273, -273, 
##     -270, -268, -265, -281, -295, -275, -297, -284, -258, -305, 
##     -300, -307, -244, -256, -366, -319, -311, -267, -313, -222, 
##     -180, -114, -175, -162, -101, -116, -133, -75, -82, -58, 
##     -44, -43, -374, -359, -361, -374, -389, -425, -441, -421, 
##     -407, -419, -395, -385, -354, -346, -336, -335, -323, -323, 
##     -317, -332, -346, -358, -372, -376, -379, -386, -392, -395, 
##     -393, -361, -358, -360, -320, -274, -286, -280, -148, -196, 
##     -135, -144, -157, -87, -71, -76, -54, -17, -23, 5, -5, 10, 
##     -14, -44, -57, -34, -21, -19, -36, -55, -52, -30, -21, -39, 
##     -32, -37, -33, -37, -57, -59, -49, -60, -150, -160, -202, 
##     -203, -300, -315, -370, -390, -363, -397, -393, -387, -397, 
##     -384, -390, -383, -396, -366, -382, -343, -334, -328, -322, 
##     -310, -323, -339, -338, -341, -346, -352, -357, -364, -358, 
##     -358, -367, -385, -370, -401, -389, -387, -390, -387, -389, 
##     -395, -385, -379, -339, -307, -339, -321, -285, -278, -250, 
##     -228, -208, -187, -135, -154, -146, -81, -71, -56, -57, -71, 
##     -24, -16, -3, -71, -59, -36, -38, -60, -60, -49, -67, -95, 
##     -89, -98, -126, -107, -136, -137, -137, -191, -189, -199, 
##     -207, -236, -248, -226, -263, -310, -358, -394, -339, -407, 
##     -397, -401, -390, -389, -403, -111, -93, -82, -93, -87, -76, 
##     -86, -80, -83, -85, -98, -100, -95, -102, -116, -140, -145, 
##     -164, -214, -227, -200, -298, -304, -355, -332, -304, -295, 
##     -272, -263, -256, -211, -212, -213, -203, -135, -143, -131, 
##     -116, -120, -112, -105, -103, -89, -73, -48, -37, -44, -53, 
##     -74, -71, -63, -62, -60, -79, -84, -69, -86, -92, -182, -205, 
##     -224, -245, -258, -279, -269, -310, -329, -344, -369, -344, 
##     -390, -398, -389, -384, -396, -415, -411, -429, -416, -383, 
##     -395, -387, -342, -351, -301, -289, -269, -266, -258, -227, 
##     -172, -189, -141, -119, -92, -92, -89, -78, -63, -22, -21, 
##     -19, -32, -37, -48, -47, -46, -27, -29, -24, -32, -34, -45, 
##     -59, -53, -69, -84, -86, -101, -101, -126, -170, -201, -213, 
##     -252, -289, -298, -372, -373, -360, -393, -395, -388, -412, 
##     -416, -421, -420, -421, -417, -431, -432, -416, -411, -375, 
##     -376, -297, -329, -285, -270, -245, -220, -147, -149, -131, 
##     -132, -121, -105, -30, -31, -40, -44, -375, -353, -391, -416, 
##     -409, -423, -427, -449, -456, -456, -450, -421, -413, -408, 
##     -417, -440, -402, -404, -275, -239, -304, -192, -204, -170, 
##     -215, -226, -227, -275, -288, -333, -360, -382, -405, -435, 
##     -424, -410, -410, -420, -392, -417, -436, -431, -434, -420, 
##     -426, -421, -415, -411, -418, -384, -354, -320, -281, -288, 
##     -289, -287, -266, -238, -210, -223, -185, -138, -133, -128, 
##     -119, -76, -66, -70, -74, -58, -55, -68, -55, -51, -63, -81, 
##     -82, -85, -95, -217, -154, -170, -114, -155, -144, -122, 
##     -114, -108, -94, -79, -81, -80, -83, -86, -89, -93, -98, 
##     -153, -51, -79, -57, -61, -47, -71, -61, -104, -146, -164, 
##     -157, -168, -185, -200, -201, -245, -267, -266, -292, -313, 
##     -340, -341, -361, -412, -348, -407, -416, -415, -405, -422, 
##     -435, -438, -417, -408, -414, -420, -398, -375, -356, -355, 
##     -356, -342, -415, -399, -394, -402, -406, -384, -330, -332, 
##     -344, -297, -294, -265, -280, -288, -256, -243, -209, -187, 
##     -198, -149, -139, -103, -112, -31, -36, -46, -39, -47, -64, 
##     -72, -62, -49, -85, -78, -42, -57, -65, -102, -95, -144, 
##     -169, -155, -183, -223, -250, -303, -320, -341, -343, -109, 
##     -110, -113, -136, -130, -128, -127, -117, -116, -131, -136, 
##     -115, -127, -126, -120, -116, -114, -109, -93, -66, -81, 
##     177, 167, 167, 173, 170, 174, 169, 176, 172, 169, 172, 161, 
##     187, 169, 184, 170, 168, 167, 179, 176, 251, 114, 176, 196, 
##     185, 238, 293, 265, 239, 197, 167, 195, 262, 240, 212, 133, 
##     120, 11, 42, -22, 138, 107, 123, 123, -9, 31, 2, -17, -38, 
##     -34, -46, -87, -77, -87, -84, -83, -84, -83, 146, 164, 175, 
##     168, 155, 186, 158, 172, 157, 164, 167, 159, 223, 203, 208, 
##     202, 167, 158, 183, 151, 180, 145, 151, 94, 28, 55, 103, 
##     109, 172, 139, 144, 141, 170, 154, 142, 139, 132, 141, 157, 
##     156, 164, 181, 209, 150, 144, 120, 124, 142, 80, 101, 132, 
##     73, -14, -42, -55, -165, -185, -196, -209, -175, -115, -152, 
##     -77, -24, -16, -6, 40, 69, 71, 92, 80, 91, 55, 66, 74, 77, 
##     96, 108, 113, 108, 75, 84, 116, 117, 118, 99, 114, 91, 44, 
##     56, 49, 31, 45, 35, 4, 1, -6, -61, -97, -95, -99, -141, -146, 
##     -137, -150, -121, -119, -15, 42, 23, 61, 40, 33, 39, 78, 
##     84, 135, 148, 136, 108, 109, 105, 108, 109, 120, 115, 124, 
##     114, 97, 55, -13, -32, -7, -5, 24, 45, 60, 83, 68, 69, 63, 
##     72, 75, 93, 98, 93, 82, 62, 54, 25, 26, -80, -103, -98, -154, 
##     -146, -164, -120, -132, -142, -179, -234, -195, -179, -148, 
##     -199, -159, -118, -61, -96, -92, -81, -131, -120, -208, -110, 
##     -90, -55, -72, -115, -119, -139, -150, -128, -130, -86, -99, 
##     -89, -80, -82, -55, -18, -35, -39, -52, -11, 29, 41, 49, 
##     40, 48, 70, 120, 91, 109, 97, 83, 72, 72, 81, 85, 91, 97, 
##     105, 110, 106, 91, 93, 92, 98, 97, 97, 97, 97, -79, -107, 
##     -125, -162, -166, -223, -198, -244, -193, -138, -191, -185, 
##     -172, -172, -167, -178, -201, -202, -198, -188, -200, -194, 
##     -201, -202, -184, -252, -236, -206, -166, -139, -109, -102, 
##     -190, -217, -209, 45, 16, -1, -27, -46, -135, -154, -173, 
##     -180, -184, -175, -206, -186, -191, -155, -119, -116, -149, 
##     -147, -149, -151, -189, -191, -202, -190, -176, -155, -149, 
##     -148, -178, -184, -170, -154, -155, -155, -140, -117, -197, 
##     -182, -173, -160, -173, -165, -179, -181, -190, -178, -149, 
##     -143, -158, -189, -28, 14, -6, -51, -89, -126, -160, -192, 
##     -181, -165, -196, -185, -186, -202, -212, -167, -127, -122, 
##     -116, -133, -109, -136, -139, -172, -181, -186, -180, -166, 
##     -158, -155, -142, -132, -125, -147, -176, -176, -170, -169, 
##     -123, -119, -115, -118, -138, -142, -141, -121, -37, -15, 
##     15, -20, -84, -90, -110, -147, -129, -160, -175, -175, -194, 
##     -187, 89, 83, 44, 48, 57, 39, 41, -16, -34, -43, -52, -64, 
##     -70, -92, -90, -156, -155, -128, -115, -126, -196, -174, 
##     -146, -106, -16, -48, -1, -36, 13, 74, 67, 57, 54, 61, 90, 
##     107, 119, 121, 120, 112, 115, 114, 102, 110, 117, 119, 112, 
##     90, 76, 66, 62, 36, 34, 15, -42, -76, -90, -89, -7, 53, 53, 
##     43, 107, 90, 117, 152, 124, 126, 99, 115, 111, 120, 125, 
##     141, 136, 146, 98, 124, 115, 37, 68, 160, 42, 79, 4, -110, 
##     -128, -114, -121, -169, -176, -162, -201, -200, -229, -221, 
##     -251, -233, -258, -261, -241, -248, -257, -245, -198, -196, 
##     -166, -141, -72, -70, -84, -71, -184, -196, -180, -184, -154, 
##     -169, -190, -149, -179, -234, -249, -241, -237, -188, -171, 
##     -157, -171, -184, -195, -197, -208, -164, -221, -188, -215, 
##     -219, -147, -237, -177, -133, -136, -145, -145, -172, -166, 
##     -167, -151, -112, -141, -145, -150, -182, -166, -178, -208, 
##     -214, -211, -220, -197, -201, -202, -166, -155, -161, -148, 
##     -139, -130, -106, -99, -155, -174, -167, -193, -217, -161, 
##     -209, -147, -165, -163, -171, -205, -181, -164, -151, -151, 
##     -165, -167, -180, -190, -198, -199, -215, -218, -215, -216, 
##     -209, -214, -220, -214, -223, -175, -190, -117, -109, -170, 
##     -169, -173, -182, -188, -190, -193, -207, -190, -187, -200, 
##     -197, -217, -223, -183, -174, -159, -135, -125, -115, -110, 
##     -114, -104, -111, -153, -160, -146, -162, -172, -156, -172, 
##     -170, -188, -235, -216, -178, -146, -153, -101, -196, -211, 
##     -227, -208, -150, -151, -146, -147, -157, -153, -156, -200, 
##     -191, -203, -225, -221, -240, -237, -223, -212, -198, -181, 
##     -195, -202, -179, -172, -150, -147, -162, -150, -152, -165, 
##     -178, -197, -214, -239, -220, -211, -217, -227, -209, -199, 
##     -194, -198, -200, -192, -87, -68, -68, -88, -144, -197, -173, 
##     -190, -179, -178, -218, -200, -201, -230, -211, -226, -166, 
##     -178, -236, -202, -238, -242, -221, -171, -161, -189, -175, 
##     -172, -176, -186, -208, -225, -230, -215, -229, -237, -229, 
##     -232, -231, -229, -208, -192, -177, -128, -106, -89, -85, 
##     -58, -78, -100, -106, -143, -148, -165, -165, -171, -179, 
##     -213, -188, -172, -166, -163, -167, -188, -175, -182, -177, 
##     -199, -207, -232, -230, -213, -205, -210, -191, -192, -196, 
##     -192, -165, -158, -144, -144, -121, -95, -107, -85, -180, 
##     -158, -170, -177, -194, -412, -404, -417, -398, -397, -406, 
##     -421, -441, -448, -437, -454, -446, -440, -402, -398, -411, 
##     -322, -391, -413, -368, -388, -434, -419, -424, -408, -426, 
##     -441, -454, -465, -454, -447, -433, -440, -450, -442, -433, 
##     -425, -438, -423, -415, -410, -391, -385, -363, -330, -331, 
##     -313, -332, -338, -312, -302, -301, -273, -279, -292, -297, 
##     -297, -291, -290, -305, -315, -323, -323, -337, -355, -375, 
##     -366, -348, -339, -401, -406, -403, -407, -434, -435, -444, 
##     -433, -451, -456, -452, -423, -415, -406, -435, -445, -422, 
##     -436, -431, -432, -455, -433, -439, -413, -421, -424, -401, 
##     -409, -416, -403, -374, -346, -372, -361, -335, -324, -298, 
##     -307, -387, -369, -385, -380, -331, -358, -302, -324, -329, 
##     -312, -267, -275, -312, -267, -277, -272, -276, -286, -292, 
##     -295, -292, -320, -322, -320, -338, -323, -334, -366, -363, 
##     -407, -418, -412, -397, -415, -426, -448, -443, -446, -455, 
##     -440, -452, -433, -409, -424, -425, -443, -444, -443, -424, 
##     -421, -397, -422, -423, -379, -395, -407, -361, -354, -379, 
##     -353, -335, -332, -310, -301, -289, -300, -302, -314, -333, 
##     -309, -291, -295, -299, -328, -303, -258, -354, -325, -367, 
##     -364, -388, -386, -405, -390, -375, -396, -446, -454, -425, 
##     -451, -449, -456, -460, -435, -444, -438, -428, -417, -423, 
##     -424, -429, -431, -443, -444, -436, -436, -425, -403, -419, 
##     -407, -395, -380, -387, -389, -369, -309, -317, -319, -304, 
##     -318, -271, -293, -312, -305, -301, -297, -305, -321, -326, 
##     -333, -343, -348, -348, -346, -415, -426, -445, -427, -409, 
##     -409, -292, -373, -369, -329, -296, -280, -318, -329, -320, 
##     -291, -292, -287, -286, -285, -288, -320, -323, -298, -363, 
##     -349, -341, -390, -400, -420, -421, -432, -449, -479, -487, 
##     -473, -456, -439, -435, -445, -431, -441, -433, -428, -419, 
##     -423, -408, -415, -447, -465, -432, -440, -395, -435, -438, 
##     -399, -407, -395, -383, -333, -405, 102, 140, 155, 164, 157, 
##     190, 205, 221, 201, 190, 182, 169, 173, 193, 210, 181, 204, 
##     187, 210, 116, 65, 103, 61, 25, -35, -46, -41, -55, -72, 
##     -88, -102, -121, -140, -104, -115, -89, -84, -88, -83, -90, 
##     -93, -90, -101, -80, -56, -29, -6, 4, 26, 56, 84, 133, 136, 
##     191, 221, 176, 160, 178, 144, 143, 146, 119, 131, 149, 167, 
##     156, 183, 193, 207, 210, 111, 116, 59, 65, 69, 34, -30, -2, 
##     -38, -25, -24, -33, -44, -47, -73, -110, -115, -101, -106, 
##     -108, -116, -112, -110, -113, -111, -111, -108, -108, -110, 
##     -107, -111, -100, -91, -39, -17, 85, 97, 137, 51, 123, -32, 
##     -53, -119, -163, -155, -111, -86, -81, -68, -80, -83, -114, 
##     -119, -120, -136, -134, -97, -52, 33, 40, 62, 74, 98, 92, 
##     115, 131, 139, 118, 116, 83, -10, -16, -28, -30, -14, -8, 
##     0, 13, 19, 57, 71, 84, 113, 97, 150, 175, 83, 45, 117, 78, 
##     44, 24, 77, 5, -10, -45, -83, -181, -151, -61, -60, -68, 
##     -70, -89, -91, -89, -117, -116, -113, -107, -100, -79, -64, 
##     -47, -15, 32, 83, 82, 119, 118, 119, 120, 125, 39, -4, -73, 
##     -102, -64, -56, -56, -57, -45, 14, 36, 60, 86, 95, 105, 114, 
##     91, 63, 106, 71, -31, -44, -168, -165, -178, -110, -83, -59, 
##     -81, -79, -107, -114, -121, -136, -128, -119, -106, -99, 
##     -25, 62, 50, 65, 97, 87, 69, 102, 86, 68, 88, 44, -17, -84, 
##     -68, -80, -83, -67, -23, 73, 114, 128, 96, 178, 114, 84, 
##     130, 94, 105, 78, 80, 74, 31, -10, -45, -71, -58, -75, -91, 
##     -108, -111, -108, -125, -99, -104, -92, -103, -105, -103, 
##     -126, -81, -61, -6, 3, 17, 49, 115, 166, 136, 140, 108, 45, 
##     28, -25, -90, -56, -45, -25, -8, 91, 112, 115, 111, 133, 
##     139, 111, 118, 82, 5, 7, -65, -82, -112, -140, -168, -141, 
##     -131, -73, -85, -85, -106, -101, -104, -109, -111, -134, 
##     -139, -123, -53, -28, 15, 21, 41, 51, 96, 127, 111, 127, 
##     106, 91, 89, 63, 37, 22, 2, -27, 2, 15, 19, 32, 61, 73, 104, 
##     90, 114, 102, 121, 96, 34, 74, 110, 36, 12, 22, -13, -88, 
##     -212, -207, -172, -147, -125, -94, -101, -102, -111, -133, 
##     -135, -129, -140, -147, -106, -82, -37, 29, 53, 44, 65, 100, 
##     106, 95, 141, 116, 115, 103, 105, 45, 16, -21, -73, -94, 
##     -30, 19, 37, 70, 78, 71, 79, 106, 101, 121, 121, 113, 145, 
##     142, 132, 72, 40, 35, 21, -10, -92, -145, -146, -144, -140, 
##     -98, -91, -95, -97, -110, -130, -114, -107, -30, 15, 41, 
##     91, 97, 141, 150, 178, 167, 158, 149, 152, 144, 114, 73, 
##     -32, -28, -27, -59, -79, -114, -118, -153, -156, -167, -166, 
##     -127, -69, -20, -13, 97, 79, 100, 94, 48, 47, 42, 61, 83, 
##     69, 36, -8, -24, -35, -45, -32, -60, -145, -194, -196, -192, 
##     -169, -174, -122, -111, -96, -97, -78, -158, -153, -162, 
##     -102, -89, -91, -53, -83, -25, -25, -6, 14, 26, 23, -12, 
##     -30, 50, 75, 66, 67, 75, 101, 100, 95, 94, 102, 96, 126, 
##     108, 108, 104, 106, 127, 99, 108, 117, 97, 110, 86, 92, 84, 
##     93, 94, 82, 102, 84, 90, 89, 85, 81, 66, 39, 29, 42, 37, 
##     16, -15, -49, -54, -94, -106, -138, -136, -142, -149, -156, 
##     -162, -172, -199, -197, -186, -180, -160, -128, -118, -70, 
##     -54, -54, -37, -50, -144, -163, -176, -161, -203, -200, -208, 
##     -193, -192, -172, -174, -224, -245, -259, -264, -271, -241, 
##     -238, -238, -251, -231, -221, -224, -180, -137, -121, -132, 
##     -74, -71, -58, -62, -47, -118, -166, -190, -183, -212, -191, 
##     -175, -167, -167, -138, -111, -109, -126, -149, -170, -153, 
##     -146, -137, -137, -156, -142, -130, -132, -153, -162, -179, 
##     -180, -195, -200, -195, -199, -199, -192, -156, -137, -132, 
##     -37, -84, -183, -184, -204, -203, -170, -137, -148, -165, 
##     -151, -94, -93, -128, -128, -140, -137, -139, -148, -159, 
##     -166, -153, -140, -132, -122, -126, -131, -131, -151, -180, 
##     -180, -198, -193, -205, -177, -179, -198, -182, -39, -12, 
##     -32, -90, -151, -159, -182, -201, -194, -204, -189, -179, 
##     -187, -140, -112, -111, -125, -128, -136, -126, -98, -57, 
##     -17, -9, -126, -128, -172, -182, -169, -172, -191, -214, 
##     -196, -188, -195, -171, -209, -237, -219, -222, -218, -225, 
##     -227, -254, -237, -224, -232, -224, -209, -195, -201, -195, 
##     -104, -108, -83, -77, -66, -38, -16, -41, -56, -83, -114, 
##     -118, -131, -160, -154, -149, -146, -109, -132, -176, -174, 
##     -187, -155, -158, -154, -128, -153, -219, -167, -181, -124, 
##     -89, -101, -78, -174, -91, -105, -125, -102, -125, -155, 
##     -152, -152, -159, -154, -145, -149, -93, -130, -214, -198, 
##     -175, -173, -212, -230, -228, -237, -228, -91, -211, -191, 
##     -119, -85, -30, -115, -106, -152, -150, -124, -117, -97, 
##     -105, -109, -129, -160, -160, -133, -136, -136, -142, -142, 
##     -151, -151, -154, -183, -182, -200, -168, -162, -208, -215, 
##     -200, -137, -209, -116, -23, -77, -62, -130, -136, -81, -81, 
##     -100, -97, -96, -110, -140, -136, -110, -105, -121, -126, 
##     -116, -112, -125, -148, -150, -171, -143, -138, -145, -177, 
##     -150, -151, -151, -151, -151, -165, -165, -150, -149, -176, 
##     -167, -144, -147, -132, -152, -152, -152, -192, -202, -201, 
##     -155, -174, -125, -95, -90, -124, -171, -204, -191, -232, 
##     -201, -220, -214, -129, -141, -251, -130, -158, -155, -109, 
##     -92, -166, -137, -148, -154, -150, -180, -156, -154, -177, 
##     -197, -227, -177, -143, -88, -92, -116, -140, -131, -146, 
##     -146, -128, -168, -192, -148, -152, -92, -82, -133, -152, 
##     -38, -62, -121, -128, -73, -108, -102, -111, -120, -108, 
##     -94, -84, -132, -132, -150, -164, -167, -217, -198, -207, 
##     -192, -207, -207, -207, -207, -207, -182, -138, -138, -149, 
##     -160, -187, -192, -227, -174, -203, -222, -229, -140, -159, 
##     -120, -154, -113, -140, -160, -166, -154, -196, -178, -193, 
##     -171, -126, -202, -194, -175, -205, -148, -173, -182, -201, 
##     -221, -223, -227, -218, -212, -218, -183, -167, -167, -176, 
##     -189, -151, -138, -49, -67, -101, -78, -96, -106, -135, -128, 
##     -121, -114, -128, -143, -146, -101, -120, -115, -108, -126, 
##     -150, -189, -135, -120, -133, -147, -139, -117, -142, -135, 
##     -137, -131, -137, -144, -129, -135, -135, -135, -147, -137, 
##     -129, -133, -141, -137, -134, -136, -136, -144, -127, -132, 
##     -139, -140, -140, -136, -124, -141, -127, -145, -140, -124, 
##     -145, -130, -142, -142, -126, -140, -134, -134, -135, -143, 
##     -125, -116, -139, -133, -139, -131, -133, -142, -132, -142, 
##     -131, -127, -130, -135, -138, -128, -126, -119, -133, -128, 
##     -138, -125, -132, -131, -132, -133, -131, -124, -140, -137, 
##     -128, -131, -131, -136, -138, -133, -131, -134, -131, -132, 
##     -133, -130, -137, -126, -126, -122, -121, -127, -118, -104, 
##     -115, -92, -107, -98, -103, -99, -110, -115, -103, -101, 
##     -107, -112, -112, -125, -125, -134, -132, -123, -122, -136, 
##     -133, -139, -145, -131, -114, -121, -130, -130, -130, -131, 
##     -150, -153, -153, -124, -126, -109, -120, -122, -122, -109, 
##     -113, -114, -120, -112, -123, -106, -110, -107, -116, -117, 
##     -118, -116, -118, -103, -111, -120, -258, -256, -247, -219, 
##     -210, -172, -157, -124, -127, -127, -105, -99, -114, -62, 
##     -50, -48, 16, -13, -3, 18, -312, -293, -286, -284, -242, 
##     -242, -172, -115, -136, -151, -52, -33, 7, -35, -65, -85, 
##     -41, -18, 15, 12, 18, -87, -94, -137, -167, -187, -185, -222, 
##     -235, -238, -235, -254, -293, -297, -293, -298, -297, -318, 
##     -324, -319, -317, -318, -321, -306, -312, -282, -275, -236, 
##     -198, -208, -161, -159, -176, -84, -91, -115, -101, -31, 
##     -48, -49, 16, -6, -27, -5, 4, -33, -55, -72, -95, -93, -102, 
##     -134, -146, -215, -264, -281, -272, -314, -312, -302, -305, 
##     -303, -311, -321, -330, -156, -158, -112, -76, -52, -36, 
##     -70, -73, -28, -8, -13, -12, 15, 43, 53, 62, 59, 52, 57, 
##     53, 65, 73, 64, 74, 36, 34, -1, -2, -12, -34, -87, -110, 
##     -44, -96, -123, -126, -142, -177, -155, -193, -203, -206, 
##     -183, -213, -193, -192, -196, -198, -213, -214, -213, -220, 
##     -233, -252, -216, -234, -239, -220, -234, -248, -246, -222, 
##     -221, -227, -235, -232, -217, -219, -184, -187, -237, -364, 
##     -370, -372, -366, -369, -368, -355, -357, -354, -358, -336, 
##     -321, -332, -272, -288, -280, -279, -272, -239, -240, -233, 
##     -245, -240, -224, -214, -212, -222, -221, -226, -214, -233, 
##     -232, -241, -256, -251, -256, -246, -277, -285, -303, -309, 
##     -293, -363, -370, -377, -374, -380, -378, -384, -383, -379, 
##     -378, -376, -372, -373, -366, -365, -366, -354, -334, -321, 
##     -338, -298, -345, -326, -307, -237, -274, -200, -239, -280, 
##     -263, -225, -233, -203, -208, -191, -171, -157, -160, -189, 
##     -179, -195, -215, -214, -238, -213, -245, -269, -308, -274, 
##     -306, -307, -332, -340, -318, -346, -371, -366, -397, -391, 
##     -392, -392, -393, -392, -398, -383, -373, -374, -364, -335, 
##     -311, -298, -273, -288, -259, -203, -204, -186, -212, -234, 
##     -227, -196, -155, -147, -172, -167, -159, -161, -168, -179, 
##     -173, -182, -186, -201, -215, -224, -244, -266, -269, -267, 
##     -296, -284, -317, -320, -317, -317, -335, -337, -256, -261, 
##     -209, -200, -212, -181, -174, -188, -202, -181, -186, -158, 
##     -156, -168, -167, -151, -362, -379, -389, -388, -382, -380, 
##     -372, -370, -384, -394, -392, -397, -394, -393, -391, -370, 
##     -357, -350, -330, -311, -328, -311, -305, -296, -289, -279, 
##     -190, -175, -171, -196, -152, -194, -196, -180, -171, -178, 
##     -200, -214, -231, -241, -258, -301, -305, -324, -331, -367, 
##     65, 67, 72, 70, 71, 76, 105, 104, 72, 64, 63, 54, 44, 51, 
##     60, 67, 45, 70, 82, 98, 108, 117, 133, -329, -334, -337, 
##     -319, -344, -345, -343, -333, -336, -341, -337, -329, -338, 
##     -337, -329, -321, -312, -324, -289, -270, -294, -283, -281, 
##     -263, -239, -216, -207, -194, 32, 43, 54, 55, 52, 51, 47, 
##     74, 18, 39, 52, 44, 30, 3, 40, 3, 9, 19, 42, -1, -5, 21, 
##     20, 26, 6, 2, 8, 14, -4, 10, 0, -45, -38, -64, -76, -94, 
##     -55, -100, -110, -105, -115, -138, -172, -194, -200, -215, 
##     -220, -253, -263, -257, -327, -311, -308, -290, -285, -277, 
##     -292, -307, -323, 15, 39, 46, 53, 34, 50, 70, 64, 55, 61, 
##     58, 71, 3, -2, 12, 3, -3, -11, -92, -100, -118, -151, -205, 
##     -211, -250, -330, -355, -353, -381, -407, -415, -429, -430, 
##     -419, -417, -409, -449, -434, -421, -410, -393, -372, -381, 
##     -382, -355, -78, -67, -90, -87, -105, -99, -96, -106, -101, 
##     -98, -99, -104, -124, -146, -149, -193, -190, -200, -212, 
##     -219, -254, -256, -286, -314, -319, -393, -385, -426, -421, 
##     -426, -433, -367, -355, -332, -340, -341, -297, -240, -209, 
##     -179, -180, -207, -144, -170, -157, -136, -99, -81, -39, 
##     -59, -36, -36, -52, -60, -28, -34, -41, -57, -58, -67, -47, 
##     -45, -87, -108, -220, -212, -192, -169, -182, -213, -272, 
##     -294, -300, -324, -338, -383, -377, -400, -408, -419, -434, 
##     -420, -430, -421, -413, -397, -394, -402, -390, -384, -377, 
##     -369, -330, -303, -58, -61, -60, -47, -51, -63, -76, -52, 
##     -98, -131, -156, -163, -170, -161, -153, -166, -201, -212, 
##     -233, -249, -269, -303, -338, -363, -338, -375, -374, -379, 
##     -381, -389, -411, -430, -422, -116, -112, -77, -80, -92, 
##     -91, -81, -91, -95, -117, -76, -76, -143, -131, -160, -172, 
##     -203, -219, -262, -265, -267, -299, -328, -358, -348, -375, 
##     -352, -359, -364, -362, -348, -413, -436, -426, -415, -412, 
##     -402, -454, -462, -455, -434, -437, -429, -392, -437, -437, 
##     -432, -439, -405, -410, -431, -415, -431, -450, -456, -462, 
##     -453, -446, -432, -456, -454, -438, -406, -413, -420, -420, 
##     -414, -430, -431, -438, -439, -429, -438, -440, -440, -426, 
##     -448, -451, -397, -396, -328, -356, -355, -343, -328, -312, 
##     -309, -318, -333, -334, -350, -375, -395, -413, -425, -434, 
##     -446, -462, -433, -417, -412, -403, -454, -381, -379, -364, 
##     -342, -347, -340, -331, -331, -338, -321, -304, -296, -325, 
##     -323, -326, -308, -314, -322, -318, -314, -420, -409, -424, 
##     -445, -464, -413, -404, -406, -395, -382, -377, -350, -381, 
##     -283, -198, -218, -96, -193, -186, -368, -239, -282, -284, 
##     -181, -142, -157, -149, -108, -138, -124, -106, -94, -64, 
##     -43, -37, -52, -59, -56, -60, -59, -59, -348, -336, -316, 
##     -289, -292, -244, -255, -249, -191, -194, -180, -140, -177, 
##     -162, -123, -105, -92, -133, -103, -100, -115, -100, -136, 
##     -137, -141, -135, -121, -121, -118, -109, -109, -112, -112, 
##     -126, -122, -125, -112, -116, -116, -120, -128, -119, -121, 
##     -113, -118, -118, -118, -146, -153, -180, -183, -151, -247, 
##     -222, -185, -145, -142, -171, -85, -136, -169, -178, -169, 
##     -152, -134, -128, -152, -127, -178, -186, -225, -226, -163, 
##     -152, -118, -138, -185, -192, -103, -142, -171, -88, -150, 
##     -113, -102, -123, -137, -80, -162, -147, -109, -123, -201, 
##     -189, -147, -127, -127, -126, -126, -126, -199, -239, -153, 
##     -217, -116, -222, -143, -81, -128, -180, -91, -44, -156, 
##     -133, -86, 34, 69, 61, 62, 124, 134, 120, 89, -115, -64, 
##     -86, -71, -46, 17, 90, 99, 116, 119, 102, 113, 123, 158, 
##     35, -71, -139, -187, -182, -172, -100, -86, -77, -84, -75, 
##     -79, -78, -81, -105, -124, -148, -170, -116, -115, -105, 
##     -42, -20, -88, -81, -26, -28, -9, 6, 11, 37, 55, 60, 113, 
##     88, 168, 164, 144, 147, 137, 121, 94, 51, 10, -9, -47, -32, 
##     -3, 17, 34, 74, 75, 83, 89, 129, 110, 124, 167, 139, 149, 
##     153, 129, 89, 105, 78, 27, 11, -38, -68, -77, -101, -127, 
##     -112, -50, -42, -40, -74, -74, -84, -87, 34, 45, 49, 78, 
##     109, 134, 127, 139, 169, 168, 195, 208, 186, 192, 181, 169, 
##     93, 100, -25, -10, -34, 30, 71, 89, 106, 118, -194, -208, 
##     -188, -200, -181, -128, -24, -9, 4, -15, -103, -169, -188, 
##     -180, -190, -166, -190, -207, -233, -205, -226, -163, -176, 
##     -196, -171, -198, -57, -57, -81, -175, -172, -175, -179, 
##     -209, -199, -179, -186, -189, -156, -113, -147, -152, -149, 
##     -138, -138, -160, -160, -142, -118, -213, -230, -230, -222, 
##     -226, -240, -242, -226, -219, -212, -90, -60, -24, -162, 
##     -94, -134, -152, -157, -188, -172, -143, -167, -154, -156, 
##     -176, -167, -190, -171, -215, -155, -162, -170, -104, -113, 
##     -55, -86, -109, 28, -136, -135, -153, -130, -122, -99, -36, 
##     -17, -6, -4, -55, -91, -107, -122, -148, -166, -174, -180, 
##     -203, -205, -197, -137, -142, -140, -108, -154, -173, -183, 
##     -201, -209, -169, -190, -200, -198, -205, -179, -203, -197, 
##     -172, -140, -146, -145, -173, -178, -246, -203, -202, -210, 
##     -202, -201, -203, -202, -213, -206, -182, -185, -188, -215, 
##     -221, -233, -206, -195, -179, -156, -160, -140, -154, -172, 
##     -181, -181, -191, -198, -216, -226, -299, -143, -158, -165, 
##     -171, -191, -178, -201, -211, -216, -231, -218, -209, -208, 
##     -205, -206, -225, -227, -220, -217, -216, 193, 197, 195, 
##     -259, -267, -262, -254, -265, -255, -266, -278, -289, -286, 
##     -275, -301, -307, -267, -237, -253, -246, -224, -180, -190, 
##     -146, -128, -165, -63, 18, 15, 28, 49, 83, 117, 34, 6, 33, 
##     24, 24, 1, 12, 29, -3, 11, 21, 27, -12, -4, -33, -22, -48, 
##     -54, -63, -117, -172, -254, -252, -275, -287, -281, -294, 
##     -320, -303, -286, -297, -295, -296, -298, -299, -307, -313, 
##     -307, -319, -326, -312, -315, -308, -306, -243, -280, -211, 
##     -226, -133, -104, -92, -65, -41, -4, -11, 64, 110, 20, 33, 
##     10, 13, 32, 12, 15, 8, -7, 1, 30, 42, 50, 27, 17, 8, -20, 
##     -25, -34, -72, -96, -104, -147, -175, -225, -245, -269, -286, 
##     -285, -284, -281, -275, -268, -285, -262, -266, -278, -290, 
##     -294, -294, -279, -282, -275, -278, -289, -275, -292, -287, 
##     -285, -280, -258, -256, 23, 7, 35, -14, 4, 0, 16, 29, 16, 
##     21, 40, 12, -152, -136, -93, -50, -106, -103, -93, -106, 
##     -105, -56, 19, 17, 58, 42, 47, 54, 47, 60, 85, 77, 81, 79, 
##     88, 76, 68, 95, 95, 72, 89, 80, 71, 90, 94, 86, 68, 74, 69, 
##     68, 74, 73, 57, 73, 60, 55, 61, 38, 22, 2, 3, -11, -14, -31, 
##     -50, -69, -88, -93, -131, -164, -153, -129, -152, -149, -170, 
##     -170, -168, -152, -83, -31, -26, -22, -15, -18, -6, 30, 61, 
##     106, 151, 178, 204, 218, 201, 189, 150, 100, 100, 105, 98, 
##     90, 88, 69, 19, -46, -49, -81, -100, -115, -137, -81, -50, 
##     -37, 43, 35, 72, 91, 76, 62, 32, -38, -49, -48, -2, 10, 14, 
##     5, -8, -16, -25, -14, -8, -19, -28, -27, -75, -83, -84, -112, 
##     -124, -118, -97, -91, -84, -78, -80, -73, 44, 151, 252, 272, 
##     169, 121, 97, 64, 77, 64, 39, 52, 1, -49, -103, -118, -110, 
##     -111, -114, -162, -164, -131, -112, -71, -99, -75, -66, -81, 
##     -94, -68, -74, -86, -116, -145, -135, -124, -17, -19, -85, 
##     -98, -130, -148, -167, -105, -61, -71, -46, 14, 31, 39, -21, 
##     -41, -91, -55, -36, -47, -70, -157, -141, -86, -47, -48, 
##     -48, -37, 148, 238, 188, 104, 54, 8, -16, -38, -41, -54, 
##     -98, -93, -90, -161, -133, -158, -171, -135, -138, -140, 
##     -121, -112, -103, -122, -124, -116, -175, -179, -176, -161, 
##     -148, -181, -176, -179, -189, -181, -184, -182, -183, -184, 
##     -180, -160, -37, 13, 49, 85, 176, 201, 249, 201, 128, 64, 
##     41, 5, -35, -56, -63, -54, -68, -78, -86, -66, -51, -38, 
##     -24, -39, -33, -17, -29, -26, -9, 2, 28, 36, 22, 14, -4, 
##     -9, -19, -28, -41, -42, -55, -64, -86, -97, -115, -119, -126, 
##     -97, -105, -146, -137, -103, -126, -60, -56, -53, -46, -36, 
##     -45, -5, 3, -2, -22, -32, -44, -54, -39, -33, -40, -40, -48, 
##     -102, -104, -99, -86, -60, -15, 1, 10, 20, 23, 11, -2, -44, 
##     -69, -78, -96, -104, -103, -116, -91, -58, -55, -24, 131, 
##     93, 102, 134, 181, 106, 117, 120, 91, 92, 84, 111, 119, 125, 
##     122, 86, 34, 27, 17, 2, -48, -73, -101, -127, -99, -62, -13, 
##     16, 43, 57, -17, -49, -57, -106, -105, -120, -120, -127, 
##     -70, -78, -110, -107, -90, -131, -136, -64, -19, -38, 25, 
##     13, 8, -20, 57, 81, 71, 95, 91, 84, 14, 35, 40, 52, 49, 47, 
##     35, 17, -17, -8, -51, -59, -69, -140, -127, -115, -111, -110, 
##     -52, -9, 89, 59, 72, 43, 24, -17, -52, -57, -68, -76, -117, 
##     -107, -118, -113, -117, -119, -128, -126, -124, -128, -133, 
##     -65, 7, -11, -17, 38, 25, 13, 15, 6, 11, 62, 60, 75, 85, 
##     95, 92, 117, 111, 110, 105, 110, 103, 111, 115, 108, 104, 
##     114, 101, 118, 98, 101, 93, 98, 82, 86, 85, 64, 61, 84, 57, 
##     65, 45, 35, 18, 0, -36, -37, -55, -42, -55, -41, -58, -82, 
##     -61, -43, -65, -79, -58, -57, -56, -62, -66, -59, -58, -68, 
##     -65, -78, -71, -81, -63, -61, -63, -55, -49, -16, -275, -206, 
##     -181, -183, -185, -184, -174, -138, -136, -168, -162, -176, 
##     -170, -191, -184, -186, -198, -194, -198, -194, -196, -190, 
##     -190, -113, -59, -70, -139, -196, -159, -178, -167, -292, 
##     -158, -196, -212, -147, -132, -155, -132, -64, -58, -50, 
##     -30, 13, 46, 49, 100, 126, 114, 98, 111, 87, 70, 98, 75, 
##     73, 43, 2, 23, 50, 10, 15, 29, 1, -2, 17, -39, -47, -93, 
##     -123, 52, 52, 375, 241, 172, 192, 68, -14, 44, -43, -69, 
##     -88, -84, -66, -32, 41, -18, -76, -37, -15, 42, 42, 55, 53, 
##     99, 55, 76, 61, 23, 14, 31, 40, 41, 32, 14, 9, 11, -18, -61, 
##     -87, -88, -33, -54, -72, 11, 80, 152, 330, 183, 133, 37, 
##     3, -59, -80, -78, 84, 32, -49, -12, -395, -323, -321, -326, 
##     -302, -327, -326, -311, -317, -306, -317, -337, -337, -367, 
##     -362, -342, -353, -351, -358, -352, -395, -398, -398, -395, 
##     -395, -445, -443, -426, -433, -459, -475, -447, -444, -451, 
##     -413, -425, -436, -446, -385, -423, -413, -456, -410, -410, 
##     -408, -275, -409, -383, -384, -392, -373, -338, -349, -320, 
##     -309, -315, -292, -291, -283, -322, -321, -322, -298, -320, 
##     -327, -307, -330, -349, -344, -385, -426, -413, -402, -416, 
##     -437, -442, -453, -445, -443, -434, -443, -450, -446, -418, 
##     -398, -380, -409, -429, -429, -423, -428, -454, -431, -453, 
##     -430, -421, -421, -438, -417, -423, -450, -496, -464, -412, 
##     -459, -409, -415, -366, -394, -348, -369, -330, -278, -291, 
##     -217, -206, -206, -235, -188, -183, -175, -123, -98, -91, 
##     -73, -84, -70, -70, -146, -124, -65, -58, -68, -72, -31, 
##     -8, -48, -57, -54, -58, -54, -48, -58, -63, -54, -57, -51, 
##     -44, -51, -53, -53, -40, -43, -46, -89, -95, -64, -80, -63, 
##     -46, -66, -70, -66, -72, -85, -102, -120, -126, -163, -171, 
##     -204, -235, -207, -247, -309, -381, -391, -398, -407, -441, 
##     -376, -383, -401, -390, -391, -391, -391, -392, -420, -408, 
##     -404, -423, -422, -434, -409, -399, -393, -377, -381, -401, 
##     -407, -376, -357, -306, -293, -312, -247, -273, -264, -143, 
##     -153, -134, -62, -57, -63, -61, -30, -43, -44, -31, -30, 
##     -35, -50, -59, -100, -30, -67, -102, -45, -121, -190, -148, 
##     -193, -318, -314, -322, -367, -424, -387, -387, -416, -436, 
##     -422, -456, -444, -450, -466, -456, -468, -452, -453, -454, 
##     -436, -431, -426, -422, -423, -418, -409, -405, -419, -404, 
##     -414, -402, -367, -323, -363, -301, -278, -201, -200, -145, 
##     -187, -141, -75, -87, -74, -72, -68, -70, -65, -60, -70, 
##     -63, -65, -72, -70, -85, -91, -103, -108, -123, -149, -162, 
##     -185, -194, -220, -213, -242, -272, -294, -346, -393, -394, 
##     -440, -435, -430, -388, -386, -390, -401, -398, -402, -419, 
##     -418, -427, -427, -413, -414, -420, -422, -407, -431, -387, 
##     -357, -344, -318, -316, -320, -279, -257, -257, -139, -147, 
##     -167, -86, -137, -115, -109, -94, -77, -68, -69, -67, -53, 
##     -81, -96, -78, -80, -88, -88, -54, -14, -133, -107, -136, 
##     -152, -149, -144, -185, -195, -207, -201, -263, -252, -265, 
##     -351, -354, -374, -407, -444, -469, -463, -442, -412, -439, 
##     -451, -455, -445, -428, -420, -431, -432, -427, -426, -419, 
##     -414, -410, -410, -428, -415, -390, -405, -443, -451, -394, 
##     -382, -391, -339, -294, -246, -289, -197, -243, -114, -123, 
##     -122, -105, -80, -107, -88, -93, -93, -75, -84, -83, -83, 
##     -89, -87, -111, -121, -125, -193, -201, -231, -261, -255, 
##     -253, -251, -240, -312, -351, -378, -395, -416, -417, -419, 
##     -445, -402, -418, -420, -408, -398, -388, -372, -377, -392, 
##     -406, -416, -421, -413, -411, -414, -426, -401, -382, -57, 
##     -65, -67, -71, -73, -100, -120, -113, -68, -6, -36, -71, 
##     -127, -158, -191, -253, -288, -341, -398, -415, -412, -423, 
##     -406, -412, -386, -396, -417, -424, -436, -445, -437, -442, 
##     -431, -415, -403, -401, -396, -415, -420, -428, -431, -411, 
##     -398, -400, -392, -385, -350, -333, -331, -288, -239, -223, 
##     -167, -44, -95, -155, -129, -104, -69, -90, -95, -126, -139, 
##     -124, -126, -129, -158, -182, -221, -226, -227, -247, -275, 
##     -346, -390, -425, -407, -415, -411, -405, -434, -406, -366, 
##     -389, -408, -402, -401, -405, -435, -412, -422, -419, -429, 
##     -413, -369, -371, -341, -298, -332, -248, -227, -268, -187, 
##     -186, -159, -147, -154, -166, -121, -96, -88, -88, -91, -91, 
##     -54, -92, -104, -99, -108, -103, -130, -131, -135, -201, 
##     -201, -222, -249, -209, -244, -309, -335, -354, -364, -414, 
##     -425, -451, -437, -402, -393, -388, -382, -387, -395, -398, 
##     -404, -408, -401, -410, -423, -413, -414, -417, -408, -399, 
##     -382, -380, -382, -387, -359, -352, -318, -309, -280, -307, 
##     -332, -252, -151, -101, -102, -103, -114, -118, -101, -62, 
##     -66, -52, -81, -63, -54, -65, -103, -118, -80, -121, -134, 
##     -149, -154, -222, -226, -266, -286, -346, -336, -341, -387, 
##     -394, -429, -398, -390, -416, -397, -398, -426, -413, -393, 
##     -391, -412, -411, -406, -398, -422, -401, -378, -328, -324, 
##     -347, -294, -273, -349, -308, -314, -278, -278, -219, -191, 
##     -162, -139, -129, -110, -77, -85, -89, -87, -109, -100, -105, 
##     -104, -96, -126, -97, -88, -98, -146, -162, -110, -125, -132, 
##     -133, -132, -123, -121, -122, -144, -150, -142, -140, -145, 
##     -127, -128, -131, -127, -126, -129, -133, -131, -129, -134, 
##     -138, -145, -144, -141, -132, -136, -124, -112, -90, -82, 
##     -74, -48, -36, -23, -11, 114, 140, 115, 134, 175, 149, 146, 
##     55, 14, 24, 29, 12, 29, 96, 163, 167, 170, 190, 197, 226, 
##     227, 217, 215, 236, 226, 235, 316, 321, 305, 272, 267, 264, 
##     258, 270, 261, 208, 162, 133, 21, -44, 233, 228, 239, 217, 
##     143, 74, 75, 1, -47, -52, -59, -75, -23, -18, 3, 72, 106, 
##     123, 204, 197, 208, 219, 212, 223, 233, 238, 213, 224, 236, 
##     230, 259, 282, 287, 290, 275, 272, 265, 239, 229, 224, 200, 
##     177, 160, 122, 111, 69, 37, -27, -48, -45, -15, 4, 59, 83, 
##     110, 134, 138, 175, 189, 196, 214, 216, 219, 214, 225, 195, 
##     221, 211, 227, 240, 255, 251, 248, 235, 234, 239, 251, 201, 
##     143, 119, 17, -20, -51, -45, -62, -68, -65, 0, 19, 37, 62, 
##     77, 111, 128, 154, 157, 174, 195, 175, 172, 204, 178, 118, 
##     146, 102, 81, 90, 92, 117, 156, 176, 171, 158, 157, 157, 
##     155, 159, 161, 140, 149, 126, 78, 60, -40, -73, -33, -10, 
##     45, 61, 78, 109, 128, 161, 215, 182, 188, 244, 202, 193, 
##     237, 206, 234, 148, 162, 172, 212, 208, 251, 247, 243, 249, 
##     225, 204, 208, 159, 149, 118, 90, 69, 40, 36, -44, -52, -34, 
##     -27, -2, 18, 70, 105, 150, 166, 202, 211, 208, 187, 215, 
##     216, 247, 210, 194, 242, 250, 264, 310, 246, 255, 239, 238, 
##     247, 284, 283, 279, 261, 258, 278, 268, 265, 271, 212, 174, 
##     101, 94, 64, 48, 22, -46, -62, -42, -29, -12, 21, 87, 90, 
##     110, 133, 140, 188, 180, 246, 203, 240, 204, 189, 221, 204, 
##     220, 213, 158, 224, 224, 227, 251, 261, 237, 236, 225, 235, 
##     259, 257, 252, 263, 256, 241, 195, 198, 150, 57, 27, 2, -55, 
##     -60, -33, 6, 60, 67, 71, 111, 170, 210, 225, 199, 192, 259, 
##     219, 250, 282, 136, 175, 139, 63, 77, 88, 25, 14, 11, -5, 
##     -11, -36, -53, -58, -56, -117, -118, -117, -123, -148, -203, 
##     -167, -189, -193, -195, -200, -211, -229, -241, -222, -218, 
##     -201, -200, -193, -181, -181, -178, -177, -184, -187, -192, 
##     -189, -187, -187, -185, -184, -185, -189, -187, -190, -187, 
##     -186, -185, -185, -185, -185, -184, -184, -187, -188, -188, 
##     -188, -167, -223, -206, -195, -180, -176, -184, -203, -171, 
##     -174, -169, -148, -145, -120, -115, -113, -113, -116, -122, 
##     -112, -105, -111, -115, -118, -116, -115, -118, -125, -116, 
##     -121, -118, -122, -114, -116, -118, -115, -119, -118, -112, 
##     -120, -115, -118, -117, -113, -116, -75, -50, -10, -15, -28, 
##     23, 179, 173, 171, 145, 133, 106, 134, 90, 44, 80, 83, 136, 
##     162, 35, 18, 21, 66, -9, -40, -33, -41, -87, -117, -62, -42, 
##     -41, 16, 167, 247, 260, 352, 227, 181, 161, 151, 104, 207, 
##     207, 207, 244, 225, 180, 216, 165, 74, 74, 85, 75, 65, 49, 
##     42, -62, -9, -6, -6, 0, 0, -72, -72, -65, -32, -51, -53, 
##     -82, -118, -63, -52, 60, 107, 230, 130, 103, 188, 296, 281, 
##     167, 124, 137, 120, 109, 155, 194, 191, 244, 190, 136, 112, 
##     135, 52, -29, 44, -23, -99, -99, -32, -25, -83, -93, -123, 
##     -129, -84, -77, -19, -132, -38, 55, 176, 80, 157, 335, 275, 
##     261, 147, 112, 98, 175, 169, 169, 152, 162, 172, 183, 206, 
##     147, 150, 111, 66, 41, -15, -46, -131, -171, -166, -166, 
##     -190, -186, -137, -127, -89, -113, 36, -36, 104, 196, 133, 
##     217, 228, 178, 179, 93, 114, 192, 215, 215, 233, 220, 91, 
##     -29, -88, -88, -83, -76, -64, -64, -126, -151, -145, -73, 
##     -80, 109, 144, -67, 69, 98, 114, 176, 305, 197, 139, 241, 
##     231, 155, 119, 127, 160, 145, 126, 170, 191, 212, 247, 191, 
##     187, 169, 160, 160, 129, 130, 74, 28, 0, -19, -97, -118, 
##     -118, -118, -155, -158, -150, -144, -141, -156, -162, -185, 
##     -163, -108, -97, -46, -68, -19, 38, 153, 155, 216, 193, 244, 
##     239, 227, 191, 158, 155, 130, 147, 163, 197, 201, 187, 149, 
##     94, 125, 72, 41, 2, -80, -100, -142, -161, -132, -141, -141, 
##     -129, -170, -79, -105, -12, 30, 244, 195, 78, 293, 370, 272, 
##     281, 267, 191, 191, 178, 187, 96, 238, 302, 304, 240, 208, 
##     207, 139, 175, 212, 235, 227, 210, 145, 128, 111, 22, 16, 
##     -64, -61, -33, -153, -109, -107, -147, -137, -94, -123, -56, 
##     213, 145, 199, 389, 273, 167, 234, 381, 193, 138, 37, 172, 
##     297, 240, 215, 190, 169, 151, 160, 236, 166, 149, 169, 186, 
##     182, 174, 181, 180, 187, 189, 186, 184, 188, 194, 180, 192, 
##     185, 176, 183, 178, 190, 183, 182, 181, 183, 187, 184, 190, 
##     187, 192, 194, 178, 181, 187, 191, 184, 188, 178, 187, 187, 
##     178, 188, 182, 186, 186, 185, 191, 186, -174, -175, -198, 
##     -212, -247, -225, -221, -214, -227, -234, -235, -241, -285, 
##     -320, -348, -360, -358, -378, -366, -381, -383, -394, -399, 
##     -392, -393, -397, -385, -377, -364, -378, -380, -347, -352, 
##     -331, -346, -341, -307, -305, -319, -323, -289, -251, -244, 
##     -211, -237, -252, -215, -236, -217, -218, -200, -200, -192, 
##     -194, -198, -196, -187, -193, -195, -192, -198, -193, -205, 
##     -196, -208, -221, -206, -229, -236, -261, -265, -274, -270, 
##     -293, -280, -311, -318, -331, -362, -370, -380, -394, -397, 
##     -394, -379, -373, -395, -391, -356, -344, -331, -329, -300, 
##     -302, -276, -270, -269, -261, -255, -254, -270, -226, -230, 
##     -209, -180, -194, -206, -201, -210, -202, -169, -173, -170, 
##     -170, -164, -158, -161, -164, -168, -170, -171, -172, -175, 
##     -175, -196, -175, -161, -157, -179, -284, -316, -365, -346, 
##     -361, -386, -375, -358, -363, -386, -382, -384, -386, -376, 
##     -393, -388, -371, -374, -342, -336, -330, -344, -306, -313, 
##     -284, -270, -212, -238, -207, -211, -197, -200, -164, -162, 
##     -161, -158, -177, -176, -149, -148, -150, -149, -156, -153, 
##     -138, -114, -170, -201, -202, -188, -151, -218, -235, -233, 
##     -225, -234, -237, -271, -297, -316, -325, -335, -353, -395, 
##     -399, -394, -390, -384, -383, -380, -388, -379, -379, -371, 
##     -380, -376, -356, -310, -320, -315, -308, -281, -293, -328, 
##     -310, -269, -237, -216, -246, -257, -189, -182, -184, -198, 
##     -197, -195, -187, -192, -184, -184, -191, -204, -205, -173, 
##     -208, -214, -198, -214, -240, -198, -238, -299, -351, -319, 
##     -314, -288, -302, -273, -277, -192, -208, -222, -227, -236, 
##     -231, -188, -174, -170, -187, -190, -187, -172, -176, -181, 
##     -174, -176, -171, -170, -173, -187, -196, -189, -204, -227, 
##     -222, -246, -283, -274, -277, -291, -301, -318, -328, -341, 
##     -351, -366, -366, -391, -398, -405, -388, -392, -396, -395, 
##     -394, -396, -396, -396, -399, -366, -340, -322, -284, -264, 
##     -242, -260, -246, -211, -172, -164, -122, -116, -118, -111, 
##     -96, -88, -48, -101, -103, -56, -60, -9, -10, 1, 16, 14, 
##     29, 34, 64, 81, 69, 63, 65, 47, 62, 54, 61, 72, 64, 57, 30, 
##     48, 38, 30, 33, 43, 25, 42, 40, 39, 41, 42, 27, 19, 58, 45, 
##     28, 35, 41, 43, 42, 45, 46, 40, 51, 57, 48, 46, 47, 46, 48, 
##     44, 45, 43, 42, 47, 40, 45, 56, 38, -4, 13, 22, 26, 25, 68, 
##     31, 37, 48, -9, -46, -63, -96, -90, -175, -163, -180, -216, 
##     -201, -200, -220, -214, -211, -224, -224, -226, -223, -199, 
##     -210, -212, -211, -211, -214, -227, -233, -243, -254, -257, 
##     -260, -267, -267, -279, -277, -51, -38, -14, -6, 36, 117, 
##     106, 75, 73, 54, 9, -21, 30, 12, -10, 11, -9, -96, -107, 
##     -109, -122, -117, -288, -285, -286, -294, -268, -275, -294, 
##     -282, -294, -234, -274, -277, -233, -177, -150, -105, -91, 
##     -85, 42, 51, 53, 43, 47, 43, 35, 39, 48, 48, 49, 52, 62, 
##     68, 78, 69, 67, 64, 55, 63, 70, 55, 48, 50, 55, 44, 50, -268, 
##     -271, -270, -267, -271, -280, -295, -313, -337, -342, -385, 
##     -389, -373, -375, -364, -372, -366, -375, -377, -351, -72, 
##     -40, -127, -23, -18, 37, 365, 217, 89, -61, -94, -123, -119, 
##     -127, -92, -141, -126, -187, -61, -98, -161, -53, 27, 41, 
##     51, 63, 97, 74, 39, 30, 40, 35, -14, 0, -20, 76, 61, 64, 
##     42, 28, 38, 25, 17, 24, 35, 16, 14, -4, 3, -17, -13, -52, 
##     -48, -72, -82, -61, -52, -52, -71, -18, -4, 67, 19, 16, 6, 
##     -18, -65, -78, -53, -38, -35, -80, -64, -99, 63, -74, -56, 
##     23, 0, 29, 54, 55, 60, 99, 79, 46, 32, 60, 1, 5, -1, 46, 
##     47, -14, -26, -60, -56, -21, -72, -104, -94, -94, -76, -5, 
##     75, 225, 265, 157, 128, 98, -94, -112, -80, -67, -57, 5, 
##     -5, 0, 42, -14, -18, -56, -75, 12, 53, 117, 143, 162, 42, 
##     30, 28, 36, 44, 36, 50, -59, -5, 74, 23, 29, 74, 108, 138, 
##     110, 85, 54, -7, 29, -31, -14, -36, -12, 13, 46, 15, 22, 
##     -34, 66, 31, 11, 39, 106, 148, 147, 182, 184, 129, 64, 25, 
##     37, 22, 27, 45, 51, 79, 86, 66, 68, 81, 46, 34, 17, 0, -17, 
##     -14, -16, 33, 13, 36, 54, 26, 14, -1, -73, -74, -67, -18, 
##     37, 29, 62, 18, 66, 137, -25, -108, -99, -60, -9, 9, -14, 
##     55, 45, 4, 100, 72, 56, 37, 54, 90, 92, 73, 128, 112, 116, 
##     137, 118, 134, 124, 94, 105, 117, 144, 101, 133, 130, 139, 
##     122, 112, 132, 127, 121, 122, 119, 187, 188, 187, 189, 183, 
##     189, 189, 194, 187, 198, 194, 187, 190, 196, 196, 196, 188, 
##     192, 190, 183, 178, 177, 178, 194, 193, 184, 188, 198, 188, 
##     196, 192, 182, 172, 181, 191, 190, 186, 188, 185, 193, 186, 
##     186, 188, 179, 188, 188, 177, 189, 186, 188, -392, -369, 
##     -352, -365, -349, -353, -339, -267, -212, -232, -215, -63, 
##     -114, -88, -51, -59, -65, -97, -102, -82, -45, 163, 183, 
##     164, 166, 181, 181, 175, 176, 181, 173, 171, 188, 186, 186, 
##     183, 183, 173, 182, 176, 180, 176, 186, 174, 189, 186, 125, 
##     166, 138, 124, 158, 158, 160, 191, 164, 83, 41, 20, 20, 16, 
##     19, -97, -87, -17, -86, -114, -104, -130, -128, -120, -89, 
##     -51, 185, 168, 258, 207, 205, 198, 142, 128, 128, 141, 141, 
##     81, 68, 26, -13, -18, -55, -55, -69, 2, -126, -135, -120, 
##     -2, 133, 204, 15, 55, 72, 81, 119, 113, 136, 155, 152, 184, 
##     189, 164, 162, 152, 150, 160, 155, 166, 159, 159, 157, 157, 
##     157, 176, 178, 160, 161, 175, 175, -184, -186, -184, -182, 
##     -182, -184, -185, -183, -185, -186, -183, -186, -184, -182, 
##     -185, -185, -183, -187, -184, -184, -185, -182, 218, 203, 
##     79, 41, -41, -42, -10, 66, 109, 118, 179, 175, 248, 222, 
##     242, 233, 246, 229, 217, 226, 242, 225, 220, 217, -36, -23, 
##     -2, 61, 75, 82, 103, 127, 157, 145, 180, 198, 205, 190, 202, 
##     191, 209, 214, 195, 216, 190, 211, 215, 246, 213, 226, -12, 
##     -5, -2, 145, 143, 36, 71, 89, 74, 34, -24, -22, -23, -28, 
##     -25, -37, -61, -66, -82, -93, -98, -101, -48, -18, -37, -1, 
##     3, 79, 21, 23, -16, -51, -46, -73, -77, -77, -66, -64, -9, 
##     4, 33, 82, 96, -36, -60, -79, -91, -58, -67, -47, -27, 60, 
##     0, 34, 57, 81, 26, -2, -20, -54, -94, -86, -79, -113, -113, 
##     -85, 96, 52, 26, -72, -77, -37, -127, -45, -64, -3, 2, -28, 
##     -48, -79, -63, -70, -74, -92, -119, -113, -106, -56, 6, 66, 
##     -3, -1, -56, -72, -78, -72, -80, -109, -40, -32, -52, -20, 
##     -24, 46, 52, 60, 32, 93, 86, 93, 95, 36, 39, 27, 36, 49, 
##     74, 98, 54, 44, 31, -20, -7, -20, -88, 9, 95, 99, 96, 124, 
##     101, 73, 71, 54, 63, 105, 111, 37, -15, -21, -35, -42, -64, 
##     -59, -86, -91, -98, -107, -92, -104, -84, -89, -77, -83, 
##     -96, -80, -70, -53, -42, 2, 20, 40, 6, -13, -24, -31, -70, 
##     -83, -100, -100, -56, -80, -94, -70, 3, 31, -96, -82, -90, 
##     -76, -33, -11, -23, -30, -44, -61, -55, -54, -47, -41, -23, 
##     -36, -35, -55, -79, -104, -97, -117, -87, -101, -99, -144, 
##     -157, -168, -172, -179, -175, -81, -61, -63, -41, -37, -23, 
##     69, 104, 122, 169, 241, 245, 211, 139, 72, 57, 50, 37, 33, 
##     -237, -107, 24, 38, 64, 81, 89, 66, 53, 38, 40, 52, -201, 
##     -193, -193, -203, -227, -227, -230, -241, -255, -271, -271, 
##     -263, -270, -278), accel_forearm_y = c(203, 203, 204, 206, 
##     206, 203, 205, 205, 204, 205, 205, 203, 205, 202, 201, 204, 
##     204, 206, 203, 205, 208, 206, 206, 203, 202, 203, 204, 206, 
##     205, 204, 203, 206, 207, 204, 205, 207, 205, 205, 203, 201, 
##     203, 208, 207, 207, 203, 202, 202, 208, 207, 206, 204, 207, 
##     204, 204, 204, 204, 205, 205, 202, 202, 201, 202, 206, 207, 
##     208, 201, 203, 203, 202, 203, 204, 204, 206, 204, 204, 205, 
##     207, 206, 207, 207, 202, 201, 202, 200, 207, 205, 203, 201, 
##     204, 205, 205, 204, 206, 206, 206, 203, 202, 205, 206, 206, 
##     208, 206, 206, 205, 206, 205, 204, 203, 202, 205, 205, 207, 
##     207, 203, 207, 206, 205, 204, 203, 202, 200, 203, 208, 204, 
##     204, 204, 205, 205, 204, 202, 203, 204, 203, 204, 204, 202, 
##     204, 203, 203, 203, 202, 204, 203, 204, 204, 204, 206, 202, 
##     202, 204, 204, 203, 201, 202, 205, 205, 203, 204, 204, 203, 
##     204, 202, 203, 202, 205, 234, 235, 235, 237, 237, 237, 226, 
##     236, 235, 227, 228, 226, 225, 223, 222, 219, 240, 227, 227, 
##     232, 230, 227, 235, 230, 229, 229, 229, 229, 231, 233, 229, 
##     232, 233, 238, 237, 229, 227, 227, 230, 233, 233, 226, 220, 
##     225, 228, 229, 229, 229, 232, 235, 230, 229, 211, 217, 233, 
##     236, 235, 231, 216, 219, 226, 229, 230, 229, 216, 204, 195, 
##     196, 200, 205, 209, 212, 212, 196, 210, 239, 246, 238, 236, 
##     225, 216, 237, 245, 250, 251, 241, 232, 237, 234, 247, 252, 
##     240, 219, 229, 228, 216, 210, 217, 230, 232, 234, 223, 214, 
##     219, 221, 215, 202, 190, 181, 199, 212, 221, 220, 217, 218, 
##     219, 223, 231, 236, 226, 223, 224, 229, 235, 233, 232, 223, 
##     217, 220, 241, 238, 236, 205, 232, 265, 249, 221, 232, 247, 
##     238, 231, 223, 221, 220, 238, 249, 255, 245, 252, 252, 237, 
##     237, 240, 240, 241, 234, 228, 234, 229, 238, 233, 221, 244, 
##     248, 245, 239, 232, 235, 241, 240, 235, 232, 234, 241, 239, 
##     239, 238, 247, 238, 238, 246, 251, 248, 247, 231, 226, 225, 
##     241, 241, 236, 237, 238, 237, 238, 242, 240, 240, 240, 238, 
##     237, 238, 240, 243, 241, 238, 242, 242, 237, 235, 240, 233, 
##     241, 238, 239, 146, 145, 114, 107, 117, 89, -15, -43, -113, 
##     -143, -154, -134, -110, -84, -72, -69, -48, 8, 20, 108, 110, 
##     154, 164, 179, 174, 198, 219, 214, 305, 331, 320, 310, 281, 
##     290, 309, 299, 261, 280, 287, 288, 288, 286, 282, 281, 289, 
##     285, 328, 323, 314, 332, 331, 326, 337, 325, 310, 317, 307, 
##     289, 284, 294, 299, 298, 283, 220, 191, 182, 155, 88, 43, 
##     29, -38, -80, -149, -177, -164, -134, -105, -64, -48, -23, 
##     35, 33, 47, 42, 64, 114, 150, 168, 277, 273, 350, 360, 333, 
##     299, 287, 278, 272, 285, 286, 270, 248, 270, 275, 268, 277, 
##     273, 273, 279, 299, 305, 306, 330, 327, 322, 322, 330, 322, 
##     308, 300, 282, 266, 255, 225, 201, 181, 175, 170, 251, 230, 
##     276, 298, 288, 289, 302, 304, 303, 285, 284, 268, 250, 274, 
##     274, 277, 284, 290, 321, 320, 317, 321, 320, 309, 287, 309, 
##     320, 312, 298, 258, 245, 212, 174, 99, -39, -61, -84, -144, 
##     -183, -143, -109, -100, -82, -69, -61, -56, 11, 14, 24, 49, 
##     50, 47, 121, 172, 203, 251, 273, 280, 272, 260, 270, 265, 
##     264, 276, 287, 300, 289, 269, 263, 269, 274, 275, 278, 283, 
##     285, 307, 323, 305, 316, 319, 306, 287, 237, 210, 170, 149, 
##     -19, -56, -90, -189, -188, -158, 293, 284, 285, 284, 333, 
##     332, 322, 315, 320, 321, 321, 310, 298, 280, 220, 209, 176, 
##     166, 166, 158, 160, 126, 100, 39, -81, -120, -172, -190, 
##     -145, 286, 275, 278, 300, 294, 304, 330, 340, 342, 344, 321, 
##     314, 314, 276, 244, 177, 141, 126, 116, -74, -102, -69, 79, 
##     141, 168, 151, 140, 229, 232, 285, 162, 106, 101, 83, 51, 
##     -73, -160, -150, -114, -104, -30, 4, 31, 30, 97, 124, 131, 
##     208, 236, 238, 274, 283, 309, 317, 287, 287, 287, 316, 320, 
##     317, 302, 281, 258, 256, 275, 280, 95, 92, 88, 86, 85, 86, 
##     92, 94, 99, 99, 100, 97, 94, 95, 100, 103, 105, 96, 94, 94, 
##     92, 94, 95, 93, 92, 92, 88, 88, 88, 92, 95, 98, 102, 104, 
##     98, 93, 93, 95, 100, 100, 99, 92, 90, 97, 97, 98, 102, 97, 
##     100, 95, 94, 91, 92, 95, 94, 94, 94, 96, 100, 103, 102, 103, 
##     102, 95, 92, 90, 93, 94, 96, 94, 97, 99, 103, 103, 99, 103, 
##     104, 102, 100, 98, 92, 92, 95, 95, 98, 95, 97, 102, 102, 
##     103, 101, 98, 97, 94, 93, 92, 94, 96, 93, 99, 102, 101, 98, 
##     102, 104, 97, 95, 94, 97, 100, 93, 97, 102, 102, 100, 99, 
##     100, 100, 99, 99, 96, 98, 99, 101, 100, 101, 102, 101, 100, 
##     96, 96, 98, 101, 107, 106, 100, 102, 98, 97, 96, 94, 99, 
##     99, 98, 96, 98, 96, 97, 106, 104, 101, 100, 97, 98, 98, 97, 
##     96, 96, 96, 100, 98, 101, 99, 99, 95, 94, 92, 93, 100, 96, 
##     97, 98, 100, 101, 101, 101, 99, 99, 98, 92, 92, 94, 95, 95, 
##     94, 95, 96, 98, 96, 94, 93, 93, 95, 95, 97, 100, 100, 97, 
##     98, 97, 92, 91, 95, 95, 92, 96, 109, 109, 101, 104, 93, 99, 
##     150, 146, 110, 141, 141, 139, 140, 133, 133, 139, 130, 134, 
##     150, 149, 163, 135, 124, 89, 87, 85, 93, 97, 95, 97, 98, 
##     93, 95, 97, 96, 95, 98, 100, 101, 225, 107, 151, -19, 109, 
##     -12, -35, 173, 158, 243, 143, 210, 274, 31, 201, 253, 244, 
##     227, 250, 151, 234, 222, 200, 245, 229, 275, 280, 370, 398, 
##     377, 396, 112, 104, 95, 82, 71, 67, 84, 102, 106, 104, 101, 
##     97, 94, 96, 97, 96, 91, 93, 398, 404, 406, 409, 413, 397, 
##     387, 405, 350, 394, 405, 396, 394, 402, 406, 404, 432, 390, 
##     380, 387, 419, 411, 400, 372, 416, 435, 404, 420, 380, 381, 
##     396, 419, 383, 394, 366, 365, 397, 405, 413, 403, 398, 394, 
##     400, 396, 410, 403, 404, 395, 417, 400, 381, 382, 381, 392, 
##     398, 410, 408, 414, 409, 389, 393, 387, 404, 403, 410, 403, 
##     404, 402, 403, 391, 409, 417, 424, 404, 403, 400, 428, 402, 
##     408, 408, 396, 383, 404, 394, 392, 396, 404, 413, 411, 394, 
##     384, 376, 379, 399, 400, 389, 403, 406, 408, 407, 405, 396, 
##     388, 407, 405, 390, 383, 399, 406, 405, 406, 402, 397, 405, 
##     405, 401, 427, 441, 432, 418, 412, 409, 375, 356, 337, 337, 
##     345, 359, 375, 384, 394, 419, 429, 434, 434, 429, 422, 418, 
##     400, 403, 409, 410, 408, 405, 400, 398, 401, 395, 394, 389, 
##     387, 390, 390, 387, 381, 380, 375, 374, 374, 374, 375, 371, 
##     365, 366, 369, 370, 375, 379, 381, 373, 375, 369, 370, 374, 
##     390, 395, 402, 407, 393, 376, 374, 377, 385, 388, 389, 361, 
##     362, 364, 363, 367, 372, 376, 385, 405, 407, 396, 391, 389, 
##     395, 400, 467, 507, 531, 509, 511, 521, 525, 525, 518, 417, 
##     395, 375, 363, 362, 352, 187, 201, 200, 266, 265, 315, 326, 
##     340, 357, 360, 359, 390, 395, 386, 438, 425, 441, 477, 481, 
##     463, 452, 458, 438, 436, 433, 438, 450, 463, 429, 421, 421, 
##     413, 405, 408, 406, 401, 394, 389, 387, 387, 387, 386, 384, 
##     380, 393, 395, 391, 427, 435, 453, 493, 502, 533, 532, 518, 
##     513, 507, 451, 404, 383, 374, 362, 354, 331, 297, 274, 240, 
##     223, 199, 180, 178, 143, 116, 103, 433, 426, 397, 461, 431, 
##     455, 443, 439, 415, 423, 456, 467, 464, 465, 443, 432, 420, 
##     416, 410, 422, 431, 426, 418, 418, 412, 384, 408, 375, 370, 
##     380, 388, 394, 411, 412, 406, 446, 504, 494, 474, 471, 484, 
##     441, 433, 415, 420, 403, 384, 370, 340, 320, 290, 204, 182, 
##     162, 156, 162, 161, 152, 147, 152, 152, 153, 149, 142, 139, 
##     141, 125, 108, 105, 106, 110, 109, 122, 130, 127, 117, 141, 
##     144, 160, 221, 208, 219, 284, 270, 361, 360, 351, 442, 490, 
##     427, 480, 456, 439, 482, 470, 435, 428, 416, 460, 469, 473, 
##     472, 467, 462, 438, 427, 399, 419, 394, 391, 392, 392, 389, 
##     387, 388, 377, 383, 393, 397, 410, 423, 456, 486, 490, 490, 
##     505, 503, 526, 521, 497, 491, 478, 423, 414, 401, 360, 272, 
##     272, 273, 245, 229, 207, 183, 175, 171, 126, 120, 125, 142, 
##     130, 129, 127, 130, 126, 145, 144, 137, 154, 148, 134, 163, 
##     175, 178, 189, 215, 333, 342, 364, 422, 402, 379, 375, 365, 
##     379, 447, 496, 492, 477, 456, 446, 453, 458, 442, 411, 413, 
##     417, 443, 449, 455, 429, 400, 402, 388, 393, 380, 382, 399, 
##     396, 391, 395, 427, 490, 486, 479, 480, 477, 481, 489, 473, 
##     431, 354, 355, 345, 325, 310, 259, 242, 226, 204, 191, 169, 
##     455, 480, 457, 431, 446, 453, 447, 418, 421, 419, 424, 405, 
##     389, 395, 402, 412, 405, 387, 376, 393, 394, 449, 476, 490, 
##     489, 559, 549, 532, 517, 489, 465, 465, 458, 444, 406, 371, 
##     359, 340, 324, 323, 286, 287, 259, 233, 205, 181, 174, 162, 
##     152, 156, 155, 133, 105, 108, 108, 104, 112, 113, 110, 118, 
##     129, 130, 120, 101, 55, 69, 77, 81, 116, 303, 360, 370, 362, 
##     374, 404, 397, 354, 466, 437, 447, 470, 457, 444, 468, 448, 
##     428, 422, 429, 429, 151, 133, 142, 125, 127, 116, 117, 123, 
##     124, 119, 121, 118, 116, 108, 115, 117, 110, 113, 115, 118, 
##     115, 107, 94, 88, 94, 90, 87, 89, 115, 123, 146, 164, 173, 
##     201, 278, 279, 280, 279, 280, 277, 278, 275, 276, 278, 277, 
##     277, 278, 276, 279, 280, 279, 281, 279, 280, 279, 278, 277, 
##     276, 276, 279, 278, 278, 278, 279, 278, 277, 278, 279, 278, 
##     275, 278, 279, 279, 279, 278, 279, 279, 280, 277, 279, 279, 
##     278, 277, 279, 278, 279, 276, 277, 278, 278, 279, 278, 278, 
##     279, 278, 278, 278, 280, 280, 276, 278, 278, 279, 279, 278, 
##     279, 280, 279, 279, 277, 275, 276, 271, 273, 278, 275, 276, 
##     284, 283, 282, 282, 280, 280, 277, 272, 268, 268, 271, 275, 
##     274, 273, 276, 275, 275, 274, 275, 274, 273, 275, 276, 291, 
##     302, 311, 329, 323, 346, 317, 305, 206, 191, 153, 98, 81, 
##     16, -9, -101, -109, -133, -201, -203, -203, -195, -180, -160, 
##     -139, -112, -101, -84, -73, -64, -38, -37, -10, 24, 21, 45, 
##     121, 144, 155, 183, 275, 295, 309, 322, 322, 311, 309, 317, 
##     318, 311, 302, 290, 285, 297, 307, 285, 294, 291, 289, 286, 
##     284, 272, 272, 278, 281, 280, 273, 283, 297, 304, 315, 357, 
##     358, 362, 315, 319, 276, 270, 247, 165, 146, 132, 119, 88, 
##     37, 25, 2, -38, -47, -84, -93, -102, -117, -160, -216, -242, 
##     -228, -199, -113, 281, 286, 291, 289, 284, 272, 274, 280, 
##     286, 297, 295, 307, 312, 333, 339, 348, 353, 357, 358, 315, 
##     311, 305, 287, 273, 252, 235, 154, 132, 104, 57, 22, -19, 
##     -32, -59, -138, -167, -168, -161, -156, -156, -157, -167, 
##     -168, -133, -115, -103, -95, -19, -2, 69, 96, 102, 150, 189, 
##     224, 234, 297, 277, 278, 275, 280, 289, 299, 303, 338, 361, 
##     370, 363, 366, 355, 348, 308, 256, 209, 171, 95, 71, -61, 
##     -127, -171, -249, -239, -224, -209, -190, -176, -161, -146, 
##     -140, -66, -12, 31, 264, 222, 273, 308, 294, 332, 344, 325, 
##     340, 338, 334, 327, 132, 169, 178, 238, 273, 276, 306, 284, 
##     277, 305, 324, 327, 349, 348, 330, 312, 309, 314, 303, 294, 
##     291, 276, 271, 270, 266, 273, 279, 286, 297, 298, 316, 327, 
##     359, 381, 386, 377, 353, 338, 313, 302, 286, 196, 178, 157, 
##     109, 38, -34, -72, -97, -178, -205, -235, -255, -264, -260, 
##     -246, -209, -205, -179, -168, -159, -141, -114, -43, 140, 
##     168, 225, 263, 297, 339, 316, 329, 326, 335, 341, 336, 328, 
##     320, 303, 300, 280, 278, 274, 275, 255, 261, 265, 264, 272, 
##     270, 268, 270, 270, 281, 295, 291, 309, 317, 321, 344, 360, 
##     359, 375, 356, 347, 331, 309, 212, 196, 177, 156, 112, 42, 
##     -33, -66, -86, -181, -242, -268, -244, -235, -226, -194, 
##     -170, -153, -139, -123, -119, -48, -32, -7, 31, 57, 63, 84, 
##     279, 279, 293, 309, 320, 326, 377, 390, 385, 374, 332, 309, 
##     272, 255, 232, 215, 197, 135, 115, 90, 43, 28, -7, -42, -61, 
##     -121, -145, -218, -286, -274, -183, -126, -121, -108, -88, 
##     -46, -28, 34, 69, 150, 303, 326, 329, 342, 331, 318, 307, 
##     295, 287, 297, 296, 292, 286, 290, 286, 309, 311, 315, 318, 
##     329, 342, 344, 344, 350, 343, 337, 324, 316, 310, 258, 219, 
##     198, 163, 133, 91, 78, 9, -17, -18, -35, -62, -115, -154, 
##     -177, -213, -294, -244, -192, -153, -22, 19, 65, 137, 169, 
##     204, 216, 223, 237, 246, 253, 271, 296, 306, 305, 302, 293, 
##     291, 289, 289, 283, 271, 280, 284, 285, 280, 268, 268, 279, 
##     288, 332, 347, 348, 332, 305, 91, -174, -204, -260, -278, 
##     -270, -247, -223, -199, -163, -108, -49, -20, 25, 70, 89, 
##     130, 148, 153, 191, 215, 263, 258, 273, 306, 326, 326, 336, 
##     343, 342, 338, 333, 94, 94, 86, 99, 114, 64, 74, 118, 112, 
##     77, 73, 98, 83, 89, 87, 79, 73, 81, 93, 116, 84, 77, 80, 
##     85, 92, 105, 105, 91, 96, 110, 92, 68, 80, 93, 116, 111, 
##     108, 96, 96, 98, 102, 103, 97, 92, 95, 98, 100, 102, 102, 
##     99, 101, 99, 102, 101, 99, 101, 100, 101, 101, 102, 101, 
##     99, 100, 99, 100, 99, 96, 97, 100, 101, 99, 97, 93, 95, 100, 
##     104, 101, 98, 102, 104, 101, 96, 93, 102, 102, 99, 99, 97, 
##     98, 103, 102, 99, 96, 92, 98, 102, 106, 104, 91, 95, 97, 
##     98, 100, 105, 105, 102, 104, 106, 101, 97, 99, 103, 100, 
##     98, 96, 92, 92, 97, 104, 104, 96, 94, 96, 102, 102, 101, 
##     95, 97, 99, 100, 102, 100, 100, 101, 101, 99, 97, 92, 97, 
##     98, 100, 99, 95, 103, 106, 104, 104, 97, 96, 95, 97, 101, 
##     101, 102, 104, 103, 102, 98, 95, 94, 97, 98, 100, 105, 106, 
##     96, 97, 101, 104, 104, 103, 101, 104, 100, 101, 102, 99, 
##     100, 107, 100, 100, 103, 97, 98, 99, 96, 105, 104, 101, 99, 
##     102, 104, 103, 99, 98, 101, 99, 98, 99, 103, 101, 99, 99, 
##     97, 100, 102, 100, 96, 99, 106, 105, 93, 100, 102, 102, 102, 
##     102, 102, 100, 96, 96, 96, 109, 125, 106, 98, 93, 92, 92, 
##     105, 108, 111, 105, 101, 95, 96, 100, 102, 100, 102, 102, 
##     111, 116, 115, 106, 100, 101, 99, 99, 111, 114, 105, 99, 
##     97, 98, 95, 113, 112, 116, 102, 91, 95, 91, 84, 76, 130, 
##     122, 104, 103, 103, 100, 100, 93, 96, 102, 105, 109, 106, 
##     99, 102, 107, 104, 104, 104, 107, 110, 109, 108, 105, 105, 
##     110, 114, 109, 106, 105, 103, 112, 107, 110, 112, 109, 107, 
##     102, 100, 102, 106, 100, 105, 110, 109, 110, 109, 117, 117, 
##     110, 103, 104, 116, 115, 113, 109, 103, 102, 114, 117, 112, 
##     113, 113, 127, 106, 108, 100, 118, 110, 106, 121, 128, 130, 
##     115, 112, 114, 113, 118, 109, 115, 118, 115, 109, 114, 114, 
##     115, 118, 112, 109, 203, 201, 205, 201, 203, 203, 204, 203, 
##     203, 203, 203, 206, 206, 205, 204, 205, 205, 205, 203, 203, 
##     202, 203, 204, 204, 204, 199, 202, 203, 203, 201, 203, 202, 
##     201, 203, 201, 202, 202, 203, 200, 200, 200, 200, 201, 200, 
##     201, 203, 202, 202, 200, 203, 203, 202, 203, 201, 201, 201, 
##     203, 201, 201, 199, 202, 204, 200, 204, 203, 201, 203, 205, 
##     202, 202, 203, 202, 202, 199, 197, 198, 202, 202, 202, 198, 
##     199, 202, 203, 206, 203, 205, 205, 204, 203, 203, 203, 201, 
##     202, 200, 202, 203, 202, 202, 202, 201, 201, 199, 198, 205, 
##     202, 202, 206, 207, 202, 202, 199, 198, 199, 198, 203, 206, 
##     197, 199, 201, 201, 203, 207, 208, 207, 205, 201, 203, 202, 
##     202, 200, 202, 207, 205, 205, 203, 205, 205, 205, 205, 208, 
##     206, 205, 205, 209, 208, 205, 204, 205, 208, 206, 205, 206, 
##     207, 206, 206, 205, 203, 204, 205, 206, 204, 206, 206, 205, 
##     206, 209, 208, 210, 209, 209, 207, 209, 207, 208, 210, 210, 
##     209, 208, 208, 208, 209, 211, 209, 206, 208, 209, 209, 211, 
##     213, 208, 212, 210, 215, 219, 213, 211, 211, 212, 207, 201, 
##     208, 211, 213, 215, 217, 220, 220, 230, 238, 244, 247, 250, 
##     265, 270, 282, 284, 289, 289, 295, 295, 297, 316, 318, 317, 
##     325, 331, 327, 317, 297, 279, 266, 207, 196, 172, 113, 81, 
##     66, 39, -34, -72, -71, -111, -121, -171, -182, -186, -184, 
##     -208, -203, -196, -176, -169, -164, -159, -148, -142, -146, 
##     -155, -132, -128, -123, -149, -103, -89, -91, -63, 18, 33, 
##     43, 80, 90, 100, 116, 150, 145, 226, 256, 268, 277, 279, 
##     290, 311, 334, 356, 306, 300, 278, 272, 259, 268, 257, 250, 
##     249, 261, 265, 268, 276, 281, 287, 287, 298, 319, 333, 354, 
##     364, 317, 322, 333, 331, 305, 300, 273, 213, 184, 138, 123, 
##     110, 91, 58, -89, -104, -165, -163, -220, -235, -213, -100, 
##     -94, -78, -67, -54, -53, -13, 14, 28, 65, 145, 166, 207, 
##     200, 247, 251, 280, 262, 277, 320, 301, 309, 336, 332, 310, 
##     305, 319, 310, 315, 313, 329, 371, 382, 373, 349, 357, 357, 
##     358, 361, 295, 251, 219, 159, 113, 81, 35, 12, -15, -41, 
##     -163, -179, -182, -182, -164, -133, -108, -87, -69, -52, 
##     -25, 32, 63, 71, 91, 136, 182, 205, 305, 334, 339, 337, 336, 
##     344, 350, 344, 339, 300, 285, 303, 307, 295, 323, 339, 345, 
##     343, 342, 359, 342, 340, 294, 280, 260, 242, 206, 184, 177, 
##     155, 117, 92, 60, -10, -36, -56, -57, -74, -92, -149, -186, 
##     -243, -178, -175, -123, -90, -83, -65, -15, 32, 87, 135, 
##     181, 295, 275, 292, -15, -30, -45, -121, -236, -240, -227, 
##     -178, -167, -140, -79, -79, -62, 98, 120, 209, 212, 219, 
##     257, 276, 302, 374, 360, 313, 296, 287, 306, 375, 339, 326, 
##     232, 247, 289, 287, 283, 293, 301, 316, 322, 336, 374, 375, 
##     371, 368, 362, 354, 348, 341, 329, 308, 174, 163, 112, 112, 
##     73, 36, 15, -24, -50, -59, -72, -119, -174, -234, -251, -260, 
##     -238, -153, -130, -88, -46, -54, 2, -13, -6, 51, 99, 126, 
##     169, 188, 211, 187, 252, 296, 350, 329, 318, 301, 304, 312, 
##     307, 324, 336, 332, 315, 321, 283, 253, 253, 248, 242, 267, 
##     345, 385, 393, 376, 361, 362, 362, 355, 345, 325, 309, 289, 
##     209, 204, 184, 133, 113, 24, 7, -18, -166, -185, -229, -257, 
##     -263, -246, -214, -176, -83, -63, -21, -16, 37, 179, 237, 
##     280, 276, 307, 303, 294, 286, 311, 311, 293, 305, 313, 321, 
##     350, 354, 329, 327, 309, 285, 289, 289, 290, 331, 332, 343, 
##     360, 383, 397, 377, 363, 374, 384, 367, 316, 267, 144, 136, 
##     97, 49, 42, 27, -18, -46, -95, -204, -258, -168, -119, -106, 
##     -71, -37, -16, -10, 112, 106, 104, 113, 114, 116, 112, 118, 
##     110, 109, 109, 109, 113, 111, 109, 106, 106, 110, 115, 117, 
##     108, 105, 109, 119, 115, 117, 112, 110, 112, 117, 119, 116, 
##     105, 100, 107, 110, 114, 114, 113, 113, 108, 103, 101, 114, 
##     116, 108, 105, 105, 115, 111, 108, 102, 105, 106, 111, 116, 
##     114, 112, 106, 118, 101, 100, 104, 104, 108, 115, 107, 99, 
##     92, 106, 113, 118, 114, 103, 102, 103, 113, 111, 107, 106, 
##     108, 109, 111, 108, 106, 109, 110, 108, 105, 105, 117, 108, 
##     106, 103, 112, 106, 108, 109, 108, 108, 106, 105, 111, 115, 
##     109, 107, 106, 111, 113, 108, 107, 106, 109, 110, 107, 107, 
##     107, 106, 101, 104, 114, 105, 103, 104, 115, 114, 112, 107, 
##     107, 111, 111, 109, 109, 106, 109, 109, 110, 113, 108, 109, 
##     108, 108, 110, 110, 110, 107, 105, 112, 113, 110, 109, 106, 
##     108, 108, 110, 110, 108, 111, 114, 105, 103, 103, 110, 107, 
##     107, 106, 106, 111, 111, 116, 118, 115, 106, 94, 111, 114, 
##     110, 105, 111, 117, 116, 106, 110, 111, 107, 105, 105, 107, 
##     111, 111, 102, 106, 110, 110, 125, 112, 96, 122, 110, 104, 
##     101, 106, 103, 102, 103, 112, 114, 118, 114, 120, 123, 120, 
##     121, 108, 101, 96, 97, 104, 108, 109, 108, 95, 114, 114, 
##     104, 109, 102, 108, 111, 116, 115, 109, 104, 106, 99, 101, 
##     102, 107, 113, 115, 115, 107, 110, 110, 113, 111, 108, 108, 
##     109, 103, 102, 108, 106, 96, 96, 99, 98, 100, 123, 135, 134, 
##     128, 128, 120, 93, 104, 107, 114, 115, 114, 114, 109, 102, 
##     101, 104, 110, 116, 117, 109, 113, 116, 109, 112, 113, 108, 
##     107, 111, 111, 110, 107, 110, 113, 111, 110, 107, 109, 110, 
##     108, 118, 118, 119, 118, 112, 110, 108, 115, 115, 109, 107, 
##     108, 108, 110, 114, 118, 116, 109, 107, 109, 116, 109, 105, 
##     112, 115, 107, 116, 125, 112, 166, 224, 242, 250, 247, 246, 
##     239, 232, 258, 295, 302, 273, 260, 231, 200, 218, 220, 199, 
##     105, 54, 42, 28, 17, 12, 30, -31, -63, -115, 6, 21, 41, 103, 
##     127, 114, 90, 234, 210, 291, 258, 333, 233, 268, 298, 286, 
##     248, 228, 227, 233, 204, 187, 180, 193, 257, 235, 253, 262, 
##     282, 295, 292, 271, 263, 281, 281, 275, 257, 199, 204, 174, 
##     156, 91, 74, 60, 54, 49, -165, -92, -71, -56, -49, -31, -27, 
##     29, 37, 120, 110, 228, 306, 293, 320, 257, 242, 223, 233, 
##     224, 223, 235, 278, 289, 291, 301, 303, 292, 277, 270, 274, 
##     280, 274, 262, 234, 208, 204, 186, 178, 173, 116, 98, 43, 
##     -183, -145, -25, -22, -5, 45, 72, 126, 177, 230, 247, 279, 
##     329, 334, 269, 220, 217, 207, 217, 239, 279, 248, 242, 233, 
##     233, 236, 273, 328, 295, 298, 303, 297, 282, 278, 282, 219, 
##     192, 136, 104, 44, 8, -46, -169, -187, -182, -182, -170, 
##     -138, -78, -62, -53, -44, -24, -6, 48, 85, 106, 140, 217, 
##     276, 379, 270, 253, 239, 274, 290, 281, 266, 242, 282, 279, 
##     244, 258, 269, 323, 305, 307, 298, 293, 281, 206, 172, 128, 
##     118, 70, 59, 44, -178, -149, -77, -52, -34, -24, 26, 65, 
##     100, 166, 164, 218, 289, 290, 324, 313, 227, 219, 223, 208, 
##     273, 249, 239, 250, 267, 296, 298, 276, 266, 271, 298, 301, 
##     277, 271, 275, 274, 196, 189, 171, 158, 117, 103, 46, 12, 
##     -87, -134, -154, -149, -130, -72, -13, 1, 12, 40, 109, 141, 
##     119, 137, 220, 285, 260, 272, 237, 249, 233, 238, 239, 204, 
##     228, 260, 270, 268, 260, 233, 226, 229, 254, 287, 298, 286, 
##     296, 301, 292, 266, 250, 240, 223, 208, 192, 162, 155, 161, 
##     179, 111, 85, 55, -59, -135, -103, -88, -77, -59, 93, 135, 
##     158, 200, 274, 276, 247, 260, 240, 251, 261, 224, 231, 228, 
##     185, 188, 188, 181, 191, 209, 248, 288, 297, 298, 290, 294, 
##     293, 291, 247, 234, 172, 173, 167, 131, 127, 20, 4, -25, 
##     -71, -137, -136, -116, -43, 16, 36, 80, 91, 175, 219, 190, 
##     246, 277, 312, 297, 263, 266, 217, 218, 224, 228, 225, 230, 
##     241, 239, 230, 241, 286, 285, 279, 297, 298, 291, 286, 286, 
##     277, 244, 229, 196, 110, 81, 79, 57, -61, -98, -160, -223, 
##     -81, -57, -19, 9, 10, 77, 88, 231, 285, 275, 239, 212, 241, 
##     281, 273, 283, 278, 253, 214, 194, 205, 242, 257, 235, 232, 
##     275, 310, 325, 332, 305, 154, 120, 91, 20, -12, -149, -154, 
##     -110, -24, -7, 20, -24, -36, 36, 154, 205, 246, 224, 268, 
##     228, 221, 245, 294, 281, 295, 279, 281, 287, 295, 300, 287, 
##     272, 272, 276, 280, 283, 282, 280, 279, 280, 280, 280, 279, 
##     280, 279, 279, 279, 280, 279, 280, 281, 281, 282, 280, 278, 
##     279, 280, 278, 280, 280, 280, 279, 280, 280, 279, 279, 279, 
##     278, 278, 278, 280, 281, 279, 279, 281, 278, 489, 484, 491, 
##     480, 449, 438, 346, 338, 341, 337, 328, 274, 237, 166, 171, 
##     435, 461, 478, 472, 469, 421, 405, 407, 410, 411, 410, 402, 
##     397, 398, 399, 406, 449, 460, 486, 486, 484, 494, 499, 162, 
##     172, 161, 160, 158, 157, 134, 112, 91, 94, 112, 126, 207, 
##     266, 301, 315, 318, 355, 355, 427, 105, 111, 107, 107, 118, 
##     113, 124, 141, 141, 141, 141, 151, 152, 214, 233, 297, 354, 
##     336, 346, 406, 426, 268, 242, 229, 195, 170, 148, 134, 122, 
##     117, 119, 84, 78, 73, 71, 68, 72, 85, 109, 116, 114, 150, 
##     375, 387, 394, 376, 371, 373, 377, 372, 372, 372, 377, 376, 
##     378, 369, 368, 375, 380, 381, 380, 377, 379, 381, 385, 381, 
##     378, 371, 360, 364, 368, 383, 385, 388, 371, 358, 364, 366, 
##     357, 355, 350, 370, 381, 397, 405, 407, 384, 373, 381, 388, 
##     391, 397, 396, 398, 393, 385, 382, 385, 383, 368, 0, 0, -1, 
##     -1, 1, 1, 1, 0, -3, -3, -2, -1, 0, -1, 1, 1, 2, 2, 1, 3, 
##     2, -1, -3, -4, -5, -1, 1, 0, 0, -1, -1, 0, -1, -3, -2, 0, 
##     2, 0, -2, -5, -5, -5, -5, 3, 4, 4, 5, -1, 7, 6, 1, 0, 3, 
##     -15, -9, -3, 2, 13, 9, 5, 1, -7, -9, -12, -13, -14, -9, 3, 
##     9, 17, 17, 5, -3, -3, -2, -2, -1, 1, 5, 2, 1, -2, 0, 2, 0, 
##     -2, -3, 0, -4, -2, -1, 4, 2, 0, 1, -1, -2, -3, -1, 0, -3, 
##     9, 7, 5, 6, 9, 11, 8, 1, -2, -4, -4, -7, -16, -18, -17, -5, 
##     -6, -6, -3, -6, -10, -12, -11, -7, -5, 7, 4, 0, -2, -1, -9, 
##     -10, -12, -12, -12, -7, -1, 3, 16, 12, 14, 3, -2, -11, -16, 
##     -14, -9, -4, -3, -4, 2, 3, 3, -12, -11, -9, -8, -6, -5, -6, 
##     -6, -5, -6, -6, -8, -8, -8, -8, 0, -3, -3, -1, -1, 32, 39, 
##     46, 61, 61, 63, 83, 86, 65, 85, 93, 63, 57, 59, 54, 57, 63, 
##     66, 71, 96, 101, 125, 117, 95, 88, 100, 112, 117, 109, 86, 
##     97, 115, 113, 117, 135, 107, 98, 99, 99, 99, 102, 102, 114, 
##     106, 105, 105, 102, 103, 104, 102, 101, 108, 109, 104, 105, 
##     105, 102, 102, 102, 101, 108, 112, 113, 111, 107, 110, 108, 
##     107, 107, 104, 104, 98, 96, 97, 104, 106, 110, 110, 107, 
##     102, 96, 96, 109, 120, 120, 121, 113, 103, 102, 100, 104, 
##     108, 121, 117, 50, 29, 21, 24, 32, 89, 102, 103, 99, 94, 
##     101, 76, 66, 61, 58, 64, 51, 39, 42, 25, 0, -17, 14, 55, 
##     27, 24, 24, 23, 22, 24, 24, 26, 29, 28, 29, 29, 33, 35, 39, 
##     38, 47, 85, 97, 104, 115, 124, 116, 118, 128, 157, 139, 164, 
##     190, 182, 145, 116, 107, 92, 65, 54, 57, 55, 57, 44, 53, 
##     39, -20, -76, -113, -162, -205, -270, -267, -231, -217, -228, 
##     -204, -181, -176, -168, -170, -171, -167, -166, -124, -104, 
##     -3, -19, 4, 92, 30, 130, 102, 145, 156, 159, 116, 127, 130, 
##     123, 118, 124, 130, 129, 177, 167, 113, 80, 66, 86, 109, 
##     132, 135, 145, 124, 24, 35, 16, -1, -31, -44, -114, -188, 
##     -206, -232, -248, -232, -219, -196, -205, -201, -183, -170, 
##     -165, -161, -133, -157, -109, -131, -150, -61, -46, 6, 5, 
##     124, 128, 124, 52, 29, 16, 16, 10, 70, 8, -20, -17, -8, -7, 
##     -23, -35, -46, -80, -242, -259, -245, -234, -201, -183, -157, 
##     -131, -108, -89, -92, -104, -102, -65, -19, 58, 52, 72, 87, 
##     99, 103, 115, 160, 162, 126, 134, 132, 72, 38, 39, 9, -29, 
##     -25, -25, -89, -104, -123, -147, -167, -190, -197, -213, 
##     -215, -196, -200, -216, -230, -213, -105, -102, -67, -65, 
##     -62, -41, -37, -26, -17, 2, 29, 77, 63, 86, 76, 73, 85, 100, 
##     142, 122, 120, 117, 95, 87, 84, 120, 131, 141, 143, 129, 
##     119, 112, 122, 152, 147, 147, 163, 159, 152, 79, 83, 86, 
##     78, 63, 63, 61, 7, -2, -19, 9, -93, -128, -135, -141, -204, 
##     -221, -220, -219, -147, -132, -127, -135, -123, -99, -74, 
##     -63, -42, 61, 31, 103, 106, 121, 117, 128, 118, 117, 51, 
##     64, 81, 100, 103, 111, 80, 82, 98, 96, 100, 112, 112, 111, 
##     110, 112, 124, 125, 86, 56, 54, 62, 74, 80, 96, 104, 126, 
##     55, 27, -12, -22, -40, -76, -93, -102, -110, -110, -128, 
##     -148, -225, -222, -212, -178, -181, -180, -184, -179, -162, 
##     -119, -71, -22, 12, 19, 29, 30, 69, 113, 109, 118, 129, 119, 
##     113, 96, 85, 99, 100, 86, 87, 83, 77, 72, 74, 86, 99, 70, 
##     62, 74, 145, 128, 105, 86, 72, 149, 158, 167, 150, 89, 55, 
##     61, 67, 111, 113, 82, 54, 41, 25, 1, -3, -10, 2, 1, -15, 
##     -72, -105, -120, -129, -118, -91, -99, -112, -135, -191, 
##     -213, -232, -253, -256, -236, -220, -218, -227, -227, -229, 
##     -212, -181, -170, -154, -129, -99, -76, -62, 9, 50, 25, 93, 
##     121, 132, 92, 75, 162, 128, 158, 158, 133, 90, 134, 106, 
##     68, 34, -12, -39, -50, -48, -37, -31, -52, -58, -89, -102, 
##     -110, -110, -206, -219, -233, -228, -230, -234, -245, -247, 
##     -244, -232, -217, -211, -199, -167, -164, -153, -142, -117, 
##     -90, -67, -63, -25, -4, -11, -4, 16, 23, 70, 60, 87, 113, 
##     218, 302, 305, 312, 344, 373, 354, 395, 360, 397, 438, 412, 
##     459, 443, 432, 458, 443, 431, 440, 440, 431, 435, 433, 424, 
##     423, 446, 436, 431, 435, 433, 427, 428, 437, 444, 449, 457, 
##     475, 482, 488, 493, 497, 490, 498, 490, 487, 491, 472, 455, 
##     326, 321, 278, 249, 244, 231, 211, 202, 202, 184, 176, 150, 
##     144, 127, 116, 117, 124, 127, 131, 138, 142, 142, 144, 137, 
##     129, 111, 106, 107, 106, 106, 118, 124, 134, 146, 168, 228, 
##     257, 278, 266, 273, 288, 305, 382, 382, 400, 423, 425, 448, 
##     459, 477, 447, 435, 430, 423, 431, 430, 97, 97, 78, 83, 88, 
##     91, 92, 91, 75, 27, 69, 93, 113, 126, 117, 88, 94, 111, 140, 
##     152, 137, 101, 102, 87, 82, 83, 117, 105, 100, 104, 124, 
##     128, 125, 124, 161, 120, 120, 119, 108, 95, 95, 98, 120, 
##     117, 107, 108, 128, 87, 80, 57, 47, 57, 46, 36, 33, 32, 28, 
##     25, 23, 24, 31, 35, 31, 23, -1, 17, 16, 17, 23, 24, 23, 20, 
##     22, 23, 115, 110, 108, 106, 107, 107, 99, 95, 101, 113, 117, 
##     113, 108, 113, 100, 97, 92, 91, 95, 90, 67, -1, -2, 2, 6, 
##     9, 4, -5, -4, 10, 17, 15, 7, -6, -11, -15, -11, 1, -3, -2, 
##     -1, 1, 2, -1, -1, -1, -2, -6, -2, -2, 2, 4, 1, 1, 0, -2, 
##     108, 118, 110, 109, 108, 106, 111, 111, 110, 112, 112, 113, 
##     110, 110, 110, 110, 110, 111, 113, 112, 114, 111, 106, 100, 
##     108, 107, 106, 106, 100, 94, 86, 102, 117, 122, 125, 123, 
##     81, 99, 121, 123, 107, 79, 84, 104, 120, 104, 96, 87, 86, 
##     92, 98, 111, 118, 156, 184, 191, 271, 273, 325, 344, 343, 
##     329, 320, 282, 295, 294, 237, 196, 177, 153, 134, 28, -33, 
##     -87, -110, -178, -241, -243, -236, -205, -193, -170, -150, 
##     -122, -109, -97, -44, -23, 23, 73, 75, 322, 314, 280, 278, 
##     281, 280, 280, 281, 275, 269, 269, 272, 281, 281, 291, 293, 
##     299, 307, 347, 349, 308, 277, 291, 334, 348, 340, 338, 340, 
##     341, 329, 312, 320, 326, 315, 305, 290, 279, 275, 270, 264, 
##     264, 272, 261, 262, 265, 270, 266, 266, 271, -103, -73, 54, 
##     59, 58, 162, 159, 168, 221, 218, 224, 252, 252, 293, 290, 
##     316, 320, 308, 306, 326, 329, 307, 303, 290, 285, 277, 277, 
##     278, 278, 279, 278, 278, 277, 277, 278, 278, 279, 278, 278, 
##     278, 277, 279, 279, 278, 278, 279, 278, 280, 279, 279, 279, 
##     296, 287, 294, 277, 270, 265, 296, 923, 327, 306, 280, 269, 
##     257, 260, 310, 288, 256, 265, 282, 297, 283, 274, 270, 277, 
##     280, 279, 279, 278, 276, 278, 279, 281, 281, 288, 286, 285, 
##     288, 294, 289, 278, 262, 255, 252, 257, 257, 252, 265, 308, 
##     281, 276, 277, 279, 278, 280, 277, 276, 276, 279, 282, 278, 
##     277, 279, 281, 280, 279, 278, 278, 273, 274, 274, 272, 273, 
##     327, 316, 314, 301, 283, 253, 268, 285, 283, 272, 274, 266, 
##     277, 295, 322, 329, 347, 359, 364, 311, 301, 284, 279, 268, 
##     235, 198, -128, 9, 73, 136, 177, 197, 220, 266, 281, 277, 
##     280, 295, 290, 297, 330, 323, -129, 34, 56, 84, 143, 229, 
##     257, 224, 267, 247, 254, 299, 295, 290, 280, 301, 308, 280, 
##     279, 293, 159, 153, 92, 49, 21, -20, -132, -180, -64, -18, 
##     4, 56, 123, 126, 168, 206, 212, 263, 268, 234, 248, 247, 
##     246, 254, 261, 258, 261, 266, 269, 276, 283, 281, 282, 278, 
##     278, 284, 303, 311, 311, 315, 319, 319, 289, 284, 276, 267, 
##     263, 140, 225, 229, 327, 326, 318, 316, 303, 294, 274, 279, 
##     358, 381, 391, 398, 396, 391, 385, 384, 360, 342, 319, 303, 
##     266, 234, 210, 201, 167, 159, 145, 131, 107, 82, 43, 274, 
##     284, 296, 295, 276, 290, 317, 317, 330, 305, 310, 304, 293, 
##     242, 228, 215, 196, 188, 147, 127, 80, 40, 9, -181, -201, 
##     -182, -155, -62, -24, 14, 29, 75, 154, 256, 253, 274, 296, 
##     299, 285, 289, 261, 278, 300, 287, 319, 316, 302, 289, 266, 
##     269, 269, 263, 276, 292, 300, 303, 307, 336, 329, 327, 322, 
##     312, 306, 269, 268, 254, 235, 191, 150, 84, 35, 8, -45, -227, 
##     -175, -173, -115, -88, -73, -71, -58, 38, 65, 269, 268, 267, 
##     267, 238, 235, 243, 239, 244, 241, 237, 237, 238, 237, 238, 
##     235, 234, 234, 237, 239, 227, 234, 235, 243, 242, 236, 231, 
##     238, 231, 231, 245, 263, 272, 279, 284, 295, 314, 321, 327, 
##     334, 331, 332, 321, 320, 317, 300, 279, 220, 78, 82, 78, 
##     58, -48, -85, -111, -176, -301, -229, -188, -137, -133, -112, 
##     72, 154, 224, 268, 290, 282, 314, 360, 341, 325, 321, 325, 
##     335, 315, 266, 269, 282, 299, 302, 295, 287, 293, 315, 312, 
##     369, 377, 339, 272, 266, 219, 179, 126, 113, 94, -264, -326, 
##     -310, -266, -212, -170, -159, -128, -114, -77, -47, -38, 
##     30, 78, 83, 161, 160, 178, 215, 253, 240, 261, 281, 300, 
##     312, 320, 319, 332, 360, 324, 284, 282, 280, 297, 303, 310, 
##     315, 360, 364, 338, 368, 352, 286, 284, 237, 161, 159, 89, 
##     76, 64, -9, -69, -182, -316, -405, -462, -401, -325, -259, 
##     -153, -147, -131, -119, -84, -64, 79, 200, 231, 259, 258, 
##     214, 268, 280, 180, 146, 98, 71, -13, -70, -149, -189, -270, 
##     -380, -361, -225, -162, -76, -75, 30, 71, 282, 264, 300, 
##     346, 344, 407, 387, 381, 388, 322, 302, 309, 296, 278, 310, 
##     332, 334, 362, 379, 392, 362, 346, 313, 312, 309, 293, 276, 
##     257, 240, 178, 165, 97, 64, -175, -204, -242, -272, -333, 
##     -275, -243, -223, -175, -153, -141, -130, -123, -46, -5, 
##     66, 164, 204, 337, 344, 328, 357, 345, 350, 260, 256, 287, 
##     278, 267, 251, 263, 280, 302, 313, 324, 356, 364, 363, 367, 
##     358, 325, 313, 255, 185, 96, 52, -15, -326, -332, -173, 83, 
##     122, 125, 408, 394, 389, 299, 241, 213, 206, 171, 143, 39, 
##     24, -48, -145, -289, -393, -383, -316, -182, -167, -148, 
##     -93, -55, -40, -46, -21, 223, 238, 268, 296, 333, 346, 356, 
##     386, 407, 410, 281, 308, 268, 267, 310, 325, 313, 277, 270, 
##     267, 277, 283, 286, 279, 354, 399, 451, 430, 319, 316, 302, 
##     289, 219, 190, 137, 70, 18, -48, -97, -133, -390, -444, -420, 
##     -360, -270, -161, -176, -173, -118, -60, 17, 138, 200, 217, 
##     234, 324, 348, 361, 367, 356, 394, 43, 333, 325, 288, 287, 
##     282, 283, 290, 297, 300, 303, 275, 270, 273, 274, 261, 245, 
##     264, 258, 260, 262, 264, 267, 267, 269, 279, 284, 283, 288, 
##     296, 300, 302, 302, 307, 311, 328, 334, 336, 335, 338, 359, 
##     353, 244, 195, 143, 117, 99, 62, 4, -31, -36, -38, -66, -71, 
##     -106, -115, -106, -127, -204, -232, -238, -248, -193, -142, 
##     -138, -163, -136, -130, -102, -47, -6, 21, 63, 89, 148, 173, 
##     213, 235, 265, 298, 306, 327, 339, 341, 337, 334, 333, 338, 
##     318, 305, 300, 296, 292, 293, 282, 280, 302, 309, 329, 361, 
##     365, 371, 372, 385, 396, 395, 391, 349, 217, 155, 109, 95, 
##     86, 3, -11, -18, -28, -94, -95, -98, -122, -126, -132, -140, 
##     342, 339, 336, 338, 334, 318, 288, 280, 279, 278, 275, 269, 
##     269, 268, 273, 282, 283, 297, 337, 341, 359, 386, 388, 404, 
##     394, 387, 395, 385, 373, 346, 288, 267, 246, 173, 146, 89, 
##     29, 9, -54, -102, -105, -119, -125, -121, -121, -167, -168, 
##     -191, -211, -239, -266, -235, -217, -210, -212, -201, -189, 
##     -169, -107, -92, -75, 0, 8, 23, 114, 146, 231, 275, 280, 
##     303, 338, 355, 368, 382, 390, 388, 331, 315, 312, 303, 295, 
##     292, 293, 281, 283, 276, -43, -58, -73, -110, -116, -130, 
##     -154, -157, -164, -252, -275, -236, -208, -199, -163, -167, 
##     -168, -141, -118, -88, -87, -47, 60, 191, 215, 234, 271, 
##     291, 359, 362, 348, 388, 351, 358, 362, 355, 342, 329, 318, 
##     310, 302, 305, 293, 281, 285, 285, 314, 326, 324, 353, 366, 
##     399, 422, 428, 318, 291, 267, 205, 189, 132, 104, 80, 34, 
##     -7, -51, -75, -115, -114, -148, -147, -162, -176, -216, -240, 
##     -229, -174, -140, -142, -154, -76, -74, -6, 60, 116, 136, 
##     196, 255, 315, 328, 315, 356, 374, 395, 387, 374, 331, 313, 
##     303, 302, 312, 306, 310, 307, 305, 307, 307, 319, 321, 389, 
##     404, 411, 405, 335, 302, 254, 135, 109, 18, -35, -59, -106, 
##     -125, -127, -129, -122, -131, -235, -231, -182, -146, -140, 
##     -152, -166, -159, -130, -160, -154, -127, -99, -81, -49, 
##     44, 156, 214, 213, 224, 271, 300, 322, 320, 349, 350, 346, 
##     356, 370, 377, 364, 333, 316, 321, 327, 313, 307, 323, -183, 
##     -170, -146, -144, -154, -120, -111, -104, -67, -58, 21, 77, 
##     98, 112, 166, 211, 259, 334, 351, 359, 391, 430, 388, 370, 
##     367, 351, 341, 329, 317, 304, 307, 303, 299, 332, 346, 357, 
##     399, 402, 404, 409, 408, 415, 415, 248, 139, 113, 66, 50, 
##     6, -77, -92, -108, -141, -144, -150, -151, -220, -252, -278, 
##     -240, -215, -203, -185, -199, -148, -74, 21, 54, 89, 112, 
##     172, 231, 278, 290, 333, 350, 99, 109, 194, 286, 259, 268, 
##     319, 266, 318, 308, 321, 341, 354, 332, 345, 293, 300, 307, 
##     318, 340, 345, 366, 354, 354, 357, 370, 368, 399, 410, 406, 
##     300, 249, 226, 210, 183, 177, 139, 130, 22, -2, -12, -59, 
##     -99, -152, -186, -219, -213, -150, -119, -84, -63, 52, 176, 
##     188, 226, 218, 254, 293, 332, 334, 352, 386, 366, 326, 298, 
##     317, 307, 326, 286, 323, 305, 289, 328, 354, 360, 377, 395, 
##     381, 370, 348, 364, 358, 355, 318, 242, 235, 192, 92, 96, 
##     56, 27, 2, -162, -194, -239, -181, -166, -130, -135, -124, 
##     -122, -111, -90, -86, -51, -13, 29, 48, 138, 131, 210, 258, 
##     370, 341, 247, 244, 245, 253, 257, 254, 249, 248, 254, 249, 
##     251, 250, 245, 244, 249, 251, 247, 246, 246, 253, 247, 245, 
##     246, 246, 246, 248, 249, 248, 250, 247, 245, 246, 248, 251, 
##     250, 252, 252, 257, 251, 250, 251, 261, 273, 281, 302, 347, 
##     363, -199, -181, -175, -168, -144, -89, -8, 12, 32, 44, 52, 
##     97, 159, 231, 236, 266, 273, 344, 376, 372, 328, 337, 376, 
##     379, 358, 353, 358, 333, 353, 376, 383, 398, 405, 423, 456, 
##     457, 447, 387, 307, 250, 163, 148, 35, 9, -55, -74, -130, 
##     -251, -306, -361, -352, -274, -162, -182, -211, -223, -234, 
##     -207, -143, -79, 68, 177, 195, 253, 255, 270, 291, 298, 290, 
##     340, 337, 322, 372, 369, 365, 375, 372, 366, 356, 368, 377, 
##     369, 379, 384, 389, 398, 407, 417, 368, 302, 247, 218, 147, 
##     107, 82, 66, 38, -4, 288, 346, 342, 336, 326, 330, 334, 331, 
##     353, 377, 365, 383, 375, 374, 383, 405, 417, 425, 438, 400, 
##     367, 337, 296, 237, 169, 104, 49, 38, 22, -92, -113, -131, 
##     -158, -172, -298, -298, -274, -249, -223, -219, -208, -210, 
##     -209, -189, -187, -175, -164, -155, -126, -45, 467, 444, 
##     364, 267, 171, 153, 135, 87, -74, -111, -135, -160, -175, 
##     -215, -267, -199, -196, -187, -176, -69, 14, 46, 129, 154, 
##     230, 305, 279, 296, 317, 310, 293, 287, 305, 331, 316, 341, 
##     326, 322, 340, 316, 370, 374, 394, 413, 375, 243, 175, 105, 
##     78, -41, -81, -94, -146, -161, -197, -283, -300, -317, 340, 
##     345, 316, 344, 361, 409, 427, 426, 436, 443, 437, 435, 392, 
##     322, 300, 293, 272, 255, 223, 198, 128, 103, 44, 10, -14, 
##     -51, -82, -110, 315, 301, 275, 286, 315, 342, 342, 331, 341, 
##     363, 349, 347, 335, 325, 334, 389, 405, 409, 421, 437, 414, 
##     383, 362, 161, 113, 53, 30, 4, -58, -83, -133, -151, -189, 
##     -213, -224, -271, -278, -286, -288, -280, -272, -260, -249, 
##     -228, -200, -189, -122, -54, -29, 58, 80, 121, 171, 244, 
##     281, 293, 282, 304, 329, 319, 326, 360, 351, 330, 328, 329, 
##     324, 319, 335, 346, 370, 424, 444, 442, 489, 478, 379, 314, 
##     193, 276, 270, 265, 256, 222, 205, 190, 246, 261, 259, 247, 
##     226, 201, 181, 153, 144, 138, 140, 143, 140, 138, 143, 152, 
##     162, 162, 157, 147, 142, 143, 151, 158, 164, 165, 163, 150, 
##     153, 156, 163, 163, 156, 187, 210, 240, 367, 400, 462, 365, 
##     234, 171, 134, 80, -25, -58, -102, -151, -275, -343, -306, 
##     -283, -282, -205, -173, -124, 17, 169, 207, 198, 207, 266, 
##     369, 330, 326, 301, 292, 322, 296, 306, 357, 366, 343, 403, 
##     406, 418, 412, 230, 187, 132, 14, -37, -81, -114, -245, -389, 
##     -369, -344, -311, -270, -243, -136, -105, -32, 417, 417, 
##     383, 284, 197, 91, -6, -40, -218, -316, -365, -383, -312, 
##     -273, -251, -233, -135, -92, -80, 72, 105, 139, 194, 258, 
##     254, 271, 329, 307, 317, 288, 300, 305, 321, 377, 394, 395, 
##     396, 414, 388, 362, 346, 172, 105, 22, -105, -158, -171, 
##     -185, -253, -328, -356, -324, -287, -253, -201, -161, -135, 
##     -121, -94, -78, 66, 136, 172, 271, 237, 243, 324, 334, 353, 
##     302, 319, 321, 313, 347, 407, 398, 380, 398, 368, 364, 307, 
##     237, 95, 54, -88, -158, -373, -349, -259, -244, -227, -164, 
##     -146, -64, 154, 205, 194, 197, 254, 268, 305, 283, 347, 346, 
##     344, 351, 330, 282, 361, 377, 372, 383, 422, 411, 382, 293, 
##     325, 360, 342, 337, 353, 362, 382, 407, 388, 198, 189, 88, 
##     -55, -157, -342, -366, -352, -217, -147, -142, -9, 35, 76, 
##     177, 203, 289, 363, 407, 336, 354, 364, 354, 331, 306, 310, 
##     341, 401, 420, 320, 209, 141, 58, 36, 16, -8, -396, -401, 
##     -335, -198, -170, -141, -105, -89, -40, 72, 121, 138, 186, 
##     267, 281, 286, 288, 306, 377, 397, 353, 330, 279, 260, 313, 
##     332, 353, 384, 372, 372, 411, 427, 455, 438, 303, 253, 193, 
##     142, 111, 108, 54, -19, -38, -149, -181, -337, -368, -406, 
##     -333, -305, -130, -122, -114, -91, 140, 172, 252, 342, 325, 
##     311, 296, 320, 372, 392, 367, 284, 305, 100, 227, 203, 223, 
##     301, 309, 315, 298, 297, 301, 311, 284, 247, 232, 252, 276, 
##     275, 258, 239, 210, 197, 160, 131, 131, 140, 137, 139, 151, 
##     160, 163, 169, 144, 146, 155, 164, 174, 189, 197, 201, 168, 
##     162, 137, 148, 152, 148, 141, 157, 202, 301, 323, 393, 394, 
##     385, 384, 384, 383, 380, 377, 380, 379, 381, 378, 372, 371, 
##     371, 374, 374, 374, 371, 377, 374, 367, 365, 372, 373, 370, 
##     360, 359, 357, 359, 361, 363, 364, 363, 362, 358, 357, 351, 
##     348, 348, 351, 360, 368, 372, 381, 384, 377, 364, 364, 363, 
##     365, 379, 396, 422, 495, 534, 545, 589, 566, 579, 588, 590, 
##     513, 350, 302, 294, 194, 155, 86, 66, 46, 36, 8, -6, -64, 
##     -64, -60, -70, -61, -55, -52, -60, -61, -60, -48, -58, -60, 
##     -66, -51, -38, -1, 8, 22, 105, 274, 245, 300, 357, 402, 413, 
##     479, 482, 475, 468, 488, 497, 477, 476, 476, 475, 471, 464, 
##     444, 423, 418, 422, 425, 424, 425, 431, 438, 448, 462, 460, 
##     486, -3, -28, -35, -36, -46, -57, -71, -78, -80, -72, -54, 
##     -49, -43, -37, -47, -44, -24, -21, -7, 28, 38, 51, 266, 285, 
##     294, 301, 306, 417, 423, 465, 492, 553, 557, 539, 517, 498, 
##     443, 367, 317, 292, 280, 253, 204, 181, 103, 87, 75, 44, 
##     33, 26, 4, -10, -18, -27, -41, -102, -100, -86, -75, -66, 
##     -64, -63, -65, -73, -71, -62, -38, -28, -22, -10, 34, 47, 
##     63, 306, 294, 305, 369, 421, 456, 457, 453, 464, 453, 462, 
##     481, 513, 522, 498, 403, 393, 393, 399, 410, 418, 419, 423, 
##     425, 424, 438, 438, 429, 429, 434, 449, 507, 503, 514, 531, 
##     550, 571, 572, 543, 517, 464, 435, 394, 342, 335, 310, 303, 
##     275, -35, 42, 141, 166, 188, 246, 272, 388, 414, 411, 418, 
##     441, 429, 411, 478, 500, 487, 517, 497, 469, 398, 406, 424, 
##     430, 425, 420, 410, 398, 400, 397, 399, 416, 415, 437, 451, 
##     477, 518, 4, -20, -26, -43, -53, -53, -60, -67, -73, -83, 
##     -83, -70, -68, -72, -68, -64, -55, -30, -22, 13, 15, 40, 
##     101, 131, 211, 304, 343, 416, 414, 439, 455, 437, 461, 451, 
##     457, 484, 485, 460, 473, 485, 468, 453, 433, 412, 415, 425, 
##     424, 428, 426, 390, 392, 400, 403, 407, 424, 451, 445, 483, 
##     488, 503, 508, 514, 528, 551, 539, 538, 544, 513, 500, 290, 
##     268, 212, 150, 121, 94, 71, 37, 1, -12, -30, -46, -62, -77, 
##     -83, -59, -47, -40, -36, -43, -36, -36, -29, -9, -6, 13, 
##     44, 83, 274, 286, 301, 363, 413, 423, 424, 428, 436, 408, 
##     409, 406, 445, 473, 478, 502, 480, 459, 428, 407, 409, 419, 
##     430, 438, 444, 453, 452, 452, 447, 441, 421, 407, 398, 394, 
##     440, 468, 463, 469, 485, 492, 496, 515, 545, 565, 556, 546, 
##     540, 540, 530, 530, 509, 399, 357, 331, 289, 250, 227, 198, 
##     169, 163, 133, 113, 107, 84, 50, 42, 39, 37, 23, 8, 8, -4, 
##     -22, -55, -59, -66, -67, -48, -33, -14, 0, 33, 156, 201, 
##     333, 390, 373, 415, 417, 438, 436, 488, 443, 458, 427, 416, 
##     404, 408, 415, 430, 443, 439, 427, 421, 420, 393, 388, 395, 
##     399, 396, 385, 380, 381, 512, 499, 488, 489, 493, 502, 494, 
##     470, 470, 438, 424, 407, 374, 328, 306, 223, 199, 165, 137, 
##     98, 78, 76, 72, 48, 40, 258, 241, 171, 144, 51, 30, 4, -24, 
##     -33, -51, -88, -92, -83, -76, -69, -66, -71, -57, 377, 380, 
##     449, 458, 442, 426, 405, 481, 463, 492, 482, 484, 470, 432, 
##     418, 408, 404, 408, 416, 419, 422, 423, 422, 417, 412, 414, 
##     415, 412, 408, 401, 397, 398, 509, 535, 510, 527, 513, 474, 
##     393, 323, 296, 250, 185, 144, 95, 99, 71, 33, 14, 371, 408, 
##     485, 478, 478, 479, 464, 441, 414, 410, 426, 440, 442, 443, 
##     434, 427, 424, 419, 416, 411, 405, 402, 395, 393, 102, 105, 
##     104, 115, 147, 139, 189, 202, 231, 239, 229, 235, 269, 321, 
##     330, 357, 402, 402, 371, 402, 400, 396, 397, 400, 413, 409, 
##     412, 417, 424, 433, 433, 440, 445, 477, 487, 485, 495, 499, 
##     495, 497, 489, 476, 470, 470, 457, 369, 357, 355, 147, 109, 
##     95, 114, 142, 143, 105, 93, 78, 31, 70, 80, 101, 118, 118, 
##     113, 101, 82, 86, 97, 111, 125, -130, -186, -217, -246, -246, 
##     -232, -226, -194, -175, -164, -162, -165, -124, -90, -77, 
##     -85, -75, -43, 6, 74, 28, 17, 25, 44, 54, 62, 77, 93, 76, 
##     71, 164, 114, 91, 116, 121, 111, 98, 88, 88, 75, 113, 115, 
##     115, 104, 50, 113, 94, 94, 114, 140, 139, 137, 136, 157, 
##     153, 138, 133, 90, 50, 48, 39, 56, 24, -9, -34, -77, -81, 
##     -82, -84, -86, -69, -79, -90, -120, -116, -139, -181, -190, 
##     -198, -208, -217, -229, -224, -236, -245, -238, -240, -260, 
##     -263, -273, -260, -188, -183, -140, -140, -144, -135, -110, 
##     -97, -47, -57, -46, -34, -18, -1, 55, 56, 54, 77, 74, 74, 
##     77, 103, 103, 125, 127, 68, 108, 128, 119, 115, 110, 98, 
##     99, 107, 117, 83, 81, 70, 68, 69, 67, 66, 66, 66, 67, 69, 
##     68, 67, 70, 69, 68, 67, 70, 72, 88, 133, 145, 195, 172, 143, 
##     135, 146, 171, 133, 132, 128, 112, 93, 67, 30, 0, -12, -22, 
##     -54, -68, -105, -126, -142, -329, -302, -254, -200, -180, 
##     -115, -66, -18, 4, 98, 105, 81, 146, 117, 136, 166, 98, 142, 
##     141, 162, 118, 107, 70, 94, 89, -143, -158, -187, -210, -228, 
##     -331, -335, -423, -435, -438, -393, -390, -393, -397, -372, 
##     -341, -303, -276, -268, -262, -229, -174, -173, -122, -112, 
##     -6, 29, 62, 78, 158, 175, 178, 122, 117, 152, 148, 137, 135, 
##     106, 110, 98, 68, 63, 67, 71, 89, 95, 102, 106, 110, 119, 
##     119, 122, 138, 149, 204, 222, 217, 173, 144, 105, 88, 76, 
##     32, -31, -135, -163, -176, -200, -212, -249, -273, -282, 
##     -295, -321, -318, -319, -334, -354, -435, -405, -380, -355, 
##     -347, -348, -363, -360, -358, -351, -344, -292, -240, -191, 
##     -180, -132, -125, -106, -47, -38, 19, 46, 98, 125, 134, 140, 
##     148, 142, 130, 114, 101, 104, 86, 75, 82, 88, 92, 81, 97, 
##     94, 90, 100, 112, 126, 135, 153, 153, 164, 164, 165, 165, 
##     172, 177, 213, 128, 44, 6, -42, -63, -104, -116, -125, -160, 
##     -183, -250, -250, -255, -266, -286, -305, -344, -365, -378, 
##     -382, -411, -415, -410, -370, -363, -358, -351, -356, -347, 
##     -320, -314, -236, -193, -163, -129, -97, -73, -57, -54, -35, 
##     2, 45, 92, 122, 128, 131, 111, 141, 146, 141, 137, 139, 143, 
##     135, 3, -17, -30, -44, -78, -93, -156, -159, -183, -203, 
##     -209, -216, -219, -238, -265, -281, -307, -381, -398, -400, 
##     -393, -384, -377, -380, -371, -362, -357, -349, -343, -327, 
##     -312, -295, -278, -268, -226, -220, -212, -183, -32, 1, 2, 
##     42, 48, 138, 129, 106, 171, 171, 131, 133, 131, 104, 73, 
##     68, 77, 94, 85, 78, 73, 69, 80, 83, 75, 79, 84, 88, 97, 103, 
##     111, 144, -300, -295, -297, -305, -320, -326, -393, -401, 
##     -373, -356, -346, -347, -348, -337, -309, -305, -284, -257, 
##     -234, -206, -183, -168, -146, -116, -79, -46, 12, 22, -3, 
##     160, 176, 187, 193, 144, 126, 138, 112, 102, 94, 102, 39, 
##     70, 67, 60, 62, 84, 93, 99, 101, 112, 124, 135, 133, 132, 
##     132, 135, 139, 150, 157, 161, 153, 132, 118, 74, 44, 11, 
##     -32, -100, -163, -172, -189, -199, -205, -249, -261, -351, 
##     -349, -356, -376, -389, -372, -350, -316, -308, -295, -286, 
##     -285, -256, -237, -226, -218, -211, -184, -162, -133, -49, 
##     -29, -10, -26, -46, 15, 117, 95, 75, 81, 86, 111, 88, 80, 
##     75, 70, 63, 52, 77, 81, 78, 91, 101, 101, 120, 161, 172, 
##     150, 153, 157, 140, 140, 137, 126, 98, -59, -82, -107, -118, 
##     -132, -140, -195, -217, -238, -294, -310, -333, -343, -417, 
##     -412, -394, -388, -378, -372, -373, -368, -365, -354, -342, 
##     -332, -318, -256, -243, -245, -228, -178, -156, -143, -69, 
##     440, 428, 423, 421, 412, 332, 317, 319, 301, 231, 231, 233, 
##     201, 163, 151, 155, 171, 114, 84, 78, 70, 86, 105, 112, 112, 
##     112, 444, 434, 412, 456, 440, 423, 444, 415, 444, 480, 480, 
##     457, 441, 426, 415, 407, 400, 410, 424, 419, 406, 404, 401, 
##     404, 411, 450, 461, 456, 461, 487, 477, 491, 510, 513, 470, 
##     460, 421, 413, 377, 383, 310, 283, 276, 266, 236, 244, 208, 
##     174, 147, 143, 134, 124, 129, 130, 134, 138, 130, 123, 100, 
##     95, 93, 97, 100, 107, 112, 122, 123, 131, 130, 128, 135, 
##     140, 137, 130, 180, 199, 194, 134, 42, 32, 13, 1, -63, -63, 
##     -106, -126, -178, -194, -206, -207, -205, -231, -251, -265, 
##     -295, 59, 53, 58, 67, 72, 78, 82, 101, 99, 99, 101, 102, 
##     115, 115, 105, 121, 154, 176, 184, 181, 177, 150, 128, 58, 
##     56, 50, 113, 121, 189, 174, 145, 144, 120, 174, 208, 174, 
##     -32, -32, -29, -44, -81, -91, -113, -118, -205, -213, -223, 
##     -237, -242, -246, -256, -267, -337, -359, -415, -459, -433, 
##     -406, -389, -397, -414, -415, -409, -402, -393, -377, -349, 
##     121, 124, 145, 146, 137, 131, 108, 99, 73, -30, -53, -61, 
##     -61, -47, -18, -103, -121, -136, -145, -130, 147, 151, 160, 
##     170, 183, 173, 161, 166, 170, 150, 156, 172, 161, 157, 168, 
##     169, 171, 156, 156, 164, 316, 379, 410, 406, 411, 436, 374, 
##     305, 219, 209, 208, 174, 86, 66, 54, 16, -44, -99, -131, 
##     -175, -224, -323, -362, -389, -245, -216, -183, -131, -113, 
##     261, 86, 44, 9, -21, -68, -83, -203, -261, -413, -409, -366, 
##     -251, -188, -156, -125, -88, 49, 101, 208, 277, 265, 293, 
##     350, 333, 302, 257, 262, 87, 142, 184, 241, 294, 257, 273, 
##     328, 341, 341, 339, 282, 274, 283, 308, 333, 338, 337, 403, 
##     375, 379, 400, 155, 154, 152, 162, 163, 159, 155, 156, 156, 
##     157, 155, 157, 157, 155, 152, 156, 155, 157, 150, 154, 156, 
##     153, 155, 150, 156, 154, 155, 153, 154, 154, 376, 380, 380, 
##     369, 371, 376, 326, 309, 315, 327, 331, 303, 294, 293, 292, 
##     290, 295, 303, 376, 386, 413, 449, 428, 425, 419, 400, 375, 
##     384, 402, 405, 398, 343, 225, 174, 139, 54, 30, 18, -6, -24, 
##     -57, -64, -70, -87, -113, -134, -145, -186, -209, -229, -248, 
##     -235, -197, -172, 281, 285, 329, 346, 368, 374, 389, 386, 
##     387, 398, 404, 402, 359, 320, 240, 205, 172, 148, 115, -3, 
##     -26, -288, -259, -246, -175, -189, -177, -187, -164, -134, 
##     -127, -135, -118, -67, -32, -22, 51, 105, 149, 154, 161, 
##     210, 224, 283, 294, 311, 318, 347, 259, 259, 264, 263, 263, 
##     261, 263, 262, 263, 262, 262, 264, 266, 265, 262, 267, 266, 
##     260, 266, 270, 262, 259, 265, 270, 267, 265, 266, 270, 272, 
##     271, 268, 266, 263, 261, 260, 259, 260, 259, 265, 265, 266, 
##     225, 390, 391, 420, 441, 430, 394, 362, 328, 311, 256, 272, 
##     298, 281, 278, 290, 327, 348, 326, 275, 273, 237, 248, 300, 
##     301, 330, 342, 341, 343, 385, 395, 388, 295, 271, 275, 300, 
##     282, 292, 323, 322, 320, 343, 378, 403, 383, 347, 340, 149, 
##     180, 167, 222, 268, 267, 302, 277, 283, 312, 300, 295, 285, 
##     280, 259, 260, 267, -194, -180, 172, 127, 21, -99, -119, 
##     -128, -166, -200, -285, -299, -286, -258, -241, -236, -237, 
##     -232, -220, -207, -122, -148, -164, -229, -289, -305, -331, 
##     -338, -293, -261, -181, -176, -185, -196, -180, -180, -186, 
##     -179, -133, -113, -52, 69, 191, 283, 289, -233, -191, -179, 
##     -189, -193, -168, -126, -83, -44, -24, 47, 77, 95, 268, 276, 
##     282, 293, 333, 304, 319, 333, 323, 132, 153, 160, 155, 198, 
##     218, 248, 257, 255, 293, 284, 290, 313, 324, 321, 326, 338, 
##     359, 337, 327, 391, 417, 447, -183, -236, -245, -280, -243, 
##     -204, -193, -190, -198, -224, -221, -195, -174, -109, -78, 
##     -17, 14, 44, 131, 221, 235, 241, 251, 263, -219, -220, -233, 
##     -227, -212, -199, -170, -161, -146, -120, -23, 41, 113, 145, 
##     239, 242, 238, 251, 249, 283, 298, 300, 374, 384, 401, 404, 
##     459, 468, 462, 434, 410, 300, 206, 142, 116, 94, 38, -18, 
##     -56, -106, -106, -134, -156, -228, -255, -279, -287, -172, 
##     -175, -181, 378, 395, 405, 397, 419, 427, 343, 242, 153, 
##     102, 100, 83, 50, 20, -27, -123, -174, -201, -214, -244, 
##     -258, -279, -290, -302, -253, -233, 336, 351, 330, 289, 271, 
##     285, 336, 329, 297, 277, 273, 279, 286, 278, 247, 247, 254, 
##     250, 250, 249, 253, 260, 254, 246, 248, 330, 351, 309, 356, 
##     348, 318, 316, 294, 272, 259, 255, 270, 284, 292, 303, 299, 
##     316, 313, 311, 323, 346, 353, 369, 433, 409, 329, 231, 189, 
##     132, 120, 112, 85, 17, -10, -219, -287, -420, -424, -401, 
##     -220, -172, -71, -27, 35, 131, 228, 259, 335, 326, 344, 364, 
##     377, 353, 352, 336, 333, 377, 312, 300, 283, 315, 302, 313, 
##     322, 333, 346, 348, 385, 399, 423, 414, 359, 320, 280, 266, 
##     195, 183, 157, 107, 38, -71, -110, -235, -361, -406, -277, 
##     -220, -206, -192, -143, -99, -66, 23, 82, 111, 234, 252, 
##     270, 278, 295, 345, 330, 314, 303, 346, 332, 361, 370, 345, 
##     297, 302, 300, 278, 268, 261, 272, 258, 250, 258, 257, 271, 
##     276, 269, 274, 280, 291, 294, 285, 308, 304, 303, 271, 305, 
##     313, 205, 200, 201, 196, 202, 140, 111, 57, 58, 85, 96, 116, 
##     134, 148, 154, 146, 138, 141, 134, 138, 261, 296, 273, 254, 
##     346, 339, 340, 340, 334, 310, 297, 231, 212, 137, 114, 85, 
##     35, 69, 99, 122, 150, 167, 157, 123, 133, 138, 201, 320, 
##     311, 286, 300, 287, 286, 284, 283, 302, 310, 308, 289, 276, 
##     291, 303, 299, 288, 279, 276, 284, 277, 277, 254, 261, 265, 
##     281, 294, 318, 335, 316, 320, 305, 295, 316, 314, 300, 293, 
##     292, 257, 153, 80, 71, 49, 56, 56, 43, 75, 88, 115, 138, 
##     141, 176, 174, 167, 182, 215, 220, 208, 261, 289, 330, 273, 
##     300, 308, 290, 272, 263, 267, 300, 298, 324, 331, 317, 328, 
##     317, 312, 320, 292, 282, 283, 257, 236, 194, 177, 169, 153, 
##     128, -1, 31, 31, 45, 86, 67, 103, 101, 88, 180, 170, 260, 
##     262, 320, 322, 329, 356, 281, 258, 249, 281, 297, 305, 289, 
##     278, 283, 282, 316, 308, 327, 336, 333, 332, 317, 314, 334, 
##     314, 299, 293, 254, 193, 68, -51, -36, 36, 62, 109, 106, 
##     145, 155, 241, 241, 278, 304, 366, 319, 292, 319, 320, 319, 
##     294, 299, 274, 271, 296, 282, 284, 281, 279, 323, 341, 322, 
##     323, 315, 319, 293, 239, 236, 228, 208, 151, 132, 73, 55, 
##     59, 61, 64, 104, 114, 133, 158, 167, 231, 221, 241, 271, 
##     273, 270, 318, 300, 300, 300, 291, 283, 286, 276, 268, 278, 
##     272, 277, 293, 296, 259, 272, 231, 74, 25, -17, -33, -66, 
##     -80, -143, -135, -207, -295, -236, -211, -190, -171, -178, 
##     -95, -91, -33, 4, 34, 60, 118, 148, 210, 215, 279, 281, 283, 
##     295, 296, 297, 320, 369, 390, 411, 404, 381, 359, 346, 327, 
##     316, 310, 311, 324, 317, 323, 328, 339, 407, 419, 413, 342, 
##     281, 229, 208, 182, 85, 67, 43, -8, -43, -57, -72, -104, 
##     -113, -124, -143, -162, -188, -255, -253, -231, -166, -168, 
##     -117, -118, -124, -114, -64, -52, -43, 40, 81, 90, 90, 104, 
##     193, 209, 293, 307, 311, 321, 371, 370, 333, 309, 293, 289, 
##     275, 274, 284, 263, 246, 240, 254, 257, 255, 244, 243, 250, 
##     254, 256, 262, 264, 274, 319, 349, 352, 347, 333, 346, 240, 
##     189, 148, 107, 67, 3, 4, -3, -19, -34, -31, 12, 27, 54, 68, 
##     95, 121, 162, 190, 207, 210, 237, 274, 257, 283, 298, 317, 
##     310, 323, 347, 353, 332, 327, 302, 302, 298, 273, 271, 274, 
##     277, 280, 281, 281, 290, 303, 313, 321, 337, 354, 355, 355, 
##     385, 375, 352, 350, 304, 259, 298, 295, 291, 283, 278, 280, 
##     305, 332, 335, 366, 367, 361, 291, 325, 343, 351, 344, 336, 
##     316, 315, 337, 347, 326, 296, 292, 286, 280, 280, 286, 294, 
##     296, 294, 377, 376, 374, 341, 228, 216, 194, 78, 39, -53, 
##     -107, -106, -94, -51, -6, 22, 213, 267, 290, 318, 329, 348, 
##     344, 346, 335, 325, 315, 295, 288, 287, 281, 283, 300, 306, 
##     310, 339, 348, 358, 364, 345, 296, 286, 267, 216, 202, 135, 
##     47, 26, 2, -50, -74, -121, -58, -18, 16, 69, 163, 198, 220, 
##     227, 271, 339, 297, 347, 347, 328, 307, 285, 279, 275, 276, 
##     284, 293, 303, 307, 336, 350, 372, 381, 372, 379, 373, 338, 
##     296, 282, 167, 120, 84, 66, 29, -66, -80, -109, -112, -107, 
##     -98, -44, -23, -2, 24, 68, 85, 107, 166, 187, 216, 230, 225, 
##     245, 316, 283, 340, 346, 334, 317, 313, 304, 288, 286, 284, 
##     319, 333, 358, 375, 333, 298, 264, 191, 139, 126, 99, 13, 
##     -8, -28, -50, -105, -126, -115, -102, -81, -54, -32, -13, 
##     7, 27, 53, 89, 102, 137, 311, 332, 336, 336, 353, 367, 378, 
##     379, 381, 328, 257, 240, 232, 219, 203, 144, 18, -5, -85, 
##     -92, -68, -52, -36, -13, 29, 93, 120, 166, 281, 293, 320, 
##     370, 333, 332, 326, 328, 341, 344, 330, 315, 286, 294, 296, 
##     289, 288, 293, 299, 314, 334, 344, 360, 361, 362, 355, 312, 
##     298, -148, -131, -110, -86, -56, -42, 24, 102, 162, 187, 
##     175, 190, 253, 334, 376, 344, 335, 337, 357, 362, 375, 372, 
##     354, 343, 327, 313, 314, 278, 273, 267, 267, 273, 257, 269, 
##     258, 261, 261, 263, 268, 273, 274, 274, 276, 273, 273, 267, 
##     264, 266, 269, 258, 264, 270, 265, 264, 261, 251, 243, 274, 
##     266, 265, 276, 267, 262, 263, 256, 257, 263, 270, 263, 259, 
##     264, 247, 260, 263, 269, 260, 248, 250, 260, 275, 251, 247, 
##     246, 260, 255, 252, 261, 283, 248, 258, 266, 253, 241, 256, 
##     259, 261, 264, 249, 250, 253, 251, 246, 262, 260, 266, 270, 
##     280, 270, 270, 251, 260, 270, 271, 265, 268, 274, 274, 271, 
##     269, 269, 269, 272, 297, 313, 322, 334, 348, 344, 325, 330, 
##     341, 330, 315, 293, 284, 247, 216, 206, 188, 180, 162, 152, 
##     148, 124, 130, 118, 43, 16, 1, -13, -34, 18, 37, 63, 74, 
##     92, 101, 136, 158, 221, 214, 274, 256, 243, 285, 363, 342, 
##     338, 352, 330, 319, 316, 305, 313, 335, 341, 334, 332, 345, 
##     355, 358, 361, 331, 335, 330, 320, 320, 250, 204, 105, 89, 
##     77, 39, 4, -16, -29, -26, -16, 60, 112, 179, 191, 221, 264, 
##     282, 314, 338, 324, 334, 330, 338, 367, 363, 354, 347, 335, 
##     318, 300, 278, 256, 178, 162, 132, -4, -15, -32, -63, -57, 
##     -42, 4, 76, 128, 174, 185, 254, 280, 313, 321, 316, 327, 
##     330, 334, 343, 347, 372, 366, 347, 353, 345, 383, 384, 376, 
##     371, 368, 371, 368, 361, 358, 336, 338, 300, 273, 261, 100, 
##     12, 2, -9, 22, 37, 190, 191, 168, 231, 285, 324, 343, 323, 
##     327, 338, 314, 312, 317, 365, 375, 377, 393, 386, 353, 338, 
##     316, 273, 252, 242, 224, 125, 102, 59, 5, -51, -52, -51, 
##     -48, -40, -16, 23, 39, 63, 69, 133, 235, 306, 320, 324, 337, 
##     346, 362, 416, 438, 331, 350, 367, 359, 354, 343, 338, 361, 
##     356, 388, 385, 390, 374, 366, 324, 320, 336, 345, 351, 352, 
##     367, 357, 352, 343, 345, 342, 344, 362, 346, 314, 245, 179, 
##     47, -69, -88, -109, -110, -114, -89, -74, -62, 9, 78, 90, 
##     87, 185, 191, 196, 239, 252, 316, 316, 312, 352, 366, 360, 
##     333, 333, 336, 344, 362, 355, 369, 356, 347, 349, 361, 360, 
##     359, 342, 307, 257, 225, 196, 166, 151, 103, 67, 45, 10, 
##     -39, -66, -76, -88, -103, -107, -98, -52, -42, 17, 41, 69, 
##     186, 220, 248, 309, 321, 350, 357, 332, 325, 331, 350, 338, 
##     338, 344, 323, 319, 351, 366, 361, 355, 384, 390, 382, 384, 
##     347, 350, 341, 201, 78, -42, -64, 157, 161, 165, 166, 162, 
##     162, 162, 171, 173, 176, 179, 201, 222, 255, 271, 292, 291, 
##     294, 290, 315, 288, 266, 249, 238, 216, 205, 182, 145, 107, 
##     68, 18, 38, 71, 149, 194, 194, 84, 74, 103, 118, 148, 212, 
##     228, 273, 262, 325, 312, 279, 245, 231, 230, 255, 251, 232, 
##     234, 237, 234, 201, 193, 218, 243, 265, 293, 312, 308, 297, 
##     291, 297, 301, 282, 279, 281, 282, 284, 296, 197, 144, 108, 
##     57, 26, 37, 183, 130, 113, 120, 136, 129, 217, 256, 274, 
##     297, 261, 232, 229, 233, 241, 236, 244, 245, 214, 211, 299, 
##     299, 328, 316, 323, 275, 214, 144, 122, 98, 70, 8, 30, 91, 
##     103, 107, 117, 85, 65, 73, 168, 213, 266, 267, 129, 97, 53, 
##     55, 77, 92, 86, 78, 85, 110, 124, 173, 251, 245, 247, 273, 
##     273, 302, 293, 280, 208, 223, 228, 237, 259, 255, 243, 259, 
##     278, 294, 297, 307, 311, 311, 319, 318, 323, 313, 258, 229, 
##     59, 45, 29, 6, 16, 73, 46, 57, 216, 306, 304, 287, 280, 299, 
##     292, 265, 244, 245, 252, 258, 249, 253, 261, 266, 269, 292, 
##     312, 326, 321, 322, 326, 319, 289, 249, 225, 183, 181, 45, 
##     17, 14, 11, -22, -22, 15, 80, 152, 187, 202, 202, 207, 235, 
##     325, 321, 292, 261, 287, 307, 277, 265, 277, 262, 255, 273, 
##     314, 339, 340, 303, 313, 213, 143, 82, 57, 35, 22, 18, 28, 
##     39, 38, 54, 82, 113, 141, 141, 147, 180, 194, 237, 254, 350, 
##     317, 256, 220, 230, 294, 277, 237, 256, 336, 327, 322, 302, 
##     277, 266, 230, 7, -11, 66, 71, 153, 232, 255, 234, 264, 294, 
##     288, 256, 257, 246, 242, 240, 269, 277, 282, 290, 299, 320, 
##     321, 317, 315, 335, 277, 101, 58, 55, 8, 14, 29, 38, 95, 
##     160, 179, 186, 182, 198, 224, 245, 351, 365, 366, 356, 312, 
##     279, 189, 184, 278, 268, 273, 291, 322, 310, 299, 313, 321, 
##     322, 323, 309, 287, 251, 219, 173, 138, 31, -6, 50, 136, 
##     202, 213, 126, 113, 153, 237, 261, 201, 223, 323, 315, 288, 
##     288, 254, 254, 216, 209, 247, 237, 217, 165, 178, 172, 163, 
##     151, 148, 141, 135, 126, 129, 140, 147, 155, 160, 162, 153, 
##     161, 168, 171, 157, 163, 157, 154, 172, 156, 156, 162, 158, 
##     147, 157, 161, 159, 152, 156, 160, 155, 156, 159, 160, 160, 
##     159, 163, 155, 163, 175, 188, 200, 199, 202, 282, 313, 341, 
##     368, 396, 401, 400, 400, 400, 400, 393, 388, 388, 392, 317, 
##     284, 249, 189, 102, 94, 41, 13, -54, -282, -260, -197, -172, 
##     -96, 20, 55, 198, 209, 209, 239, 332, 333, 312, 323, 282, 
##     272, 270, 308, 351, 428, 382, 369, 367, 384, 390, 400, 397, 
##     328, 263, 212, 138, 129, 131, 88, 39, 6, -353, -300, -265, 
##     -134, -25, -7, 6, 89, 262, 338, 367, 361, 339, 268, 282, 
##     290, 236, 230, 170, 167, 174, 170, 169, 171, 161, 180, 190, 
##     195, 202, 201, 199, 188, 192, 201, 200, 194, 181, 180, 182, 
##     192, 183, 182, 188, 195, 193, 189, 188, 188, 188, 188, 184, 
##     189, 188, 182, 188, 192, 195, 183, 182, 187, 196, 208, 209, 
##     212, 214, 218, 240, 242, 258, 267, 272, 282, 304, 311, 322, 
##     321, 326, 337, 343, 242, 197, 168, 136, 118, 133, 187, 179, 
##     157, 125, 133, 222, 230, 298, 369, 277, 248, 200, 189, 235, 
##     242, 228, 234, 245, 259, 267, 269, 262, 256, 256, 237, 217, 
##     225, 252, 257, 255, 240, 247, 259, 252, 244, 239, 236, 380, 
##     392, 477, 528, 516, 503, 513, 510, 507, 534, 474, 454, 439, 
##     412, 377, 369, 363, 327, 265, 239, 211, 173, 153, 106, 59, 
##     46, 15, -22, -62, -72, -77, 452, 458, 471, 498, 485, 517, 
##     534, 526, 516, 524, 482, 390, 357, 347, 333, 263, 237, 213, 
##     189, 163, 155, 121, 167, 207, 300, 273, 283, 317, 371, 399, 
##     497, 470, 402, 408, 422, 462, 465, 470, 465, 463, 454, 438, 
##     426, 407, 425, 427, 424, 421, 414, 408, 412, 418, 426, 431, 
##     429, 427, 423, 432, 469, 509, 530, 534, 531, 532, 549, 531, 
##     549, 561, 561, 545, 489, 438, 373, 370, 360, 271, 162, 150, 
##     112, 89, 71, 33, 21, -14, -22, -43, -64, -72, -77, -65, -65, 
##     -67, -70, -67, -57, -13, -2, 12, 64, 139, 176, 297, 370, 
##     423, 481, 518, 529, 482, 529, 520, 493, 443, 427, 418, 408, 
##     271, 268, 269, 266, 258, 245, 230, 234, 241, 240, 238, 228, 
##     240, 273, 283, 301, 298, 283, 285, 277, 270, 295, 298, 308, 
##     323, 318, 312, 306, 323, 328, 329, 318, 312, 310, 313, 320, 
##     326, 339, 350, 357, 350, 347, 341, 347, 344, 339, 333, 326, 
##     317, 316, 323, 324, 329, 329, 328, 316, 309, 306, 309, 315, 
##     323, 335, 340, 346, 350, 367, 367, 373, 372, 394, 397, 410, 
##     423, 435, 442, 457, 504, 493, 476, 502, 510, 495, 474, 417, 
##     392, 363, 369, 356, 348, 340, 329, 284, 296, 326, 326, 319, 
##     322, 320, 314, 306, 310, 326, 298, 272, 272, 294, 295, 323, 
##     331, 343, 383, 429, 421, 430, 424, 433, 452, 470, 469, 374, 
##     399, 421, 423, 428, 435, 443, 449, 469, 464, 461, 460, 466, 
##     475, 465, 453, 433, 421, 425, 409, 415, 405, 387, 377, 383, 
##     367, 331, 328, 324, 317, 317, 287, 274, 262, 264, 274, 283, 
##     305, 295, 269, 263, 261, 272, 274, 281, 294, 303, 326, 325, 
##     325, 373, 371, 436, 428, 436, 422, 424, 450, 491, 484, 469, 
##     472, 473, 442, 392, 368, 365, 370, 403, 409, 396, 384, 380, 
##     379, 380, 392, 371, 358, 370, 404, 409, 421, 409, 423, 452, 
##     463, 478, 488, 466, 455, 449, 446, 442, 441, 451, 428, 383, 
##     369, 367, 339, 334, 319, 292, 293, 293, 286, 285, 295, 309, 
##     316, 306, 301, 312, 309, 309, 294, 298, 299, 308, 337, 356, 
##     410, 397, 447, 421, 408, 410, 417, 424, 428, 443, 483, 474, 
##     468, 431, 426, 420, 435, 433, 419, 418, 418, 408, 393, 378, 
##     368, 370, 398, 366, 360, 375, 429, 453, 464, 464, 467, 475, 
##     466, 461, 451, 445, 445, 452, 458, 411, 399, 429, 424, 470, 
##     463, 481, 477, 477, 482, 492, 487, 448, 433, 427, 419, 410, 
##     407, 408, 411, 417, 415, 390, 376, 376, 377, 379, 381, 386, 
##     399, 419, 422, 436, 443, 447, 455, 463, 465, 475, 473, 473, 
##     466, 463, 459, 453, 404, 402, 393, 391, 360, 360, 360, 361, 
##     361, 345, 342, 327, 318, 327, 310, 301, 301, 297, 304, 367, 
##     395, 399, 391, 388, 391, 403, 415, 453, 474, 479, 457, 450, 
##     456, 462, 454, 447, 421, 413, 405, 418, 392, 389, 384, 358, 
##     360, 367, 390, 384, 381, 385, 394, 386, 435, 447, 466, 455, 
##     453, 447, 445, 459, 465, 431, 410, 393, 377, 333, 295, 281, 
##     288, 303, 317, 329, 331, 336, 329, 329, 329, 315, 310, 296, 
##     286, 278, 270, 268, 285, 311, 318, 345, 376, 414, 428, 466, 
##     443, 454, 439, 438, 456, 390, 378, 391, 405, 425, 419, 416, 
##     399, 387, 382, 368, 373, 399, 448, 455, 466, 455, 454, 459, 
##     453, 462, 468, 467, 435, 413, 394, 378, 376, 366, 361, 341, 
##     336, 326, 294, 293, 294, 296, 306, 322, 336, 336, 317, 338, 
##     338, 306, 286, 285, 286, 290, 379, 373, 364, 350, 319, 301, 
##     305, 296, 281, 291, 337, 298, 302, 309, 304, 333, 338, 350, 
##     379, 399, 471, 436, 445, 446, 447, 446, 431, 419, 408, 394, 
##     396, 391, 367, 384, 380, 381, 377, 332, 397, 409, 410, 380, 
##     368, 349, 329, 334, 319, 332, 303, 271, 310, 317, 312, 305, 
##     301, 298, 297, 297, 297, 294, 291, 286, 285, 283, 281, 280, 
##     76, 59, 41, 35, 7, 2, -4, -13, -63, -67, -58, -40, -24, -23, 
##     -17, -22, -27, -45, -45, -36, -15, 34, 82, 418, 433, 434, 
##     460, 518, 462, 378, 375, 401, 451, 434, 419, 411, 415, 428, 
##     391, 414, 421, 418, 397, 396, 401, -81, -69, -64, -64, -63, 
##     -59, -48, -41, -35, -22, 41, 56, 94, 132, 236, 307, 328, 
##     335, 396, -1, 12, 101, 110, 102, 140, 144, 153, 132, 136, 
##     155, 116, 105, 119, 96, 93, 102, 107, -78, -105, -122, -145, 
##     -225, -253, -263, -280, -291, -305, -317, -348, -360, -384, 
##     -393, -406, -404, -397, -388, -382, -375, -353, -340, -336, 
##     -324, -314, -225, -184, -94, 11, 31, 45, 18, 71, 90, 72, 
##     86, 87, 183, 181, 149, 130, 109, 80, 69, 72, 65, 69, 68, 
##     68, 28, 28, 48, 79, 101, 103, 95, 93, 95, 98, 97, 97, 104, 
##     131, 156, 155, 142, 148, 151, 150, 193, 196, 169, 146, -52, 
##     -70, -112, -133, -150, -197, -213, -224, -271, -302, -321, 
##     -307, -333, -366, -401, -395, -385, -384, -390, -392, -395, 
##     -390, -373, -373, -373, -360, -351, -341, -335, -335, -339, 
##     -321, -314, -308, -289, -271, -267, -262, -99, -84, -95, 
##     -82, -37, 74, 82, 68, 126, 123, 96, 69, 77, 117, 120, 161, 
##     169, 124, 111, 113, 115, 105, 79, 75, 73, 102, 94, 86, 80, 
##     66, 65, 77, 78, 126, 144, 149, 144, 131, 123, 125, 126, 137, 
##     152, 157, 151, 145, 114, 67, 31, -2, -27, -24, -9, -45, -49, 
##     -108, -149, -135, -101, 107, 104, 111, 118, 115, 109, 112, 
##     117, 123, 133, 142, 141, 143, 141, 136, 124, 126, 142, 143, 
##     110, 64, 20, 27, 19, 49, 94, 91, 102, 97, 84, 84, 85, 98, 
##     96, 135, 120, 117, 105, 97, 98, 103, 106, 108, 107, 65, 73, 
##     83, 95, 112, 126, 116, 117, 123, 154, 166, 164, 136, 107, 
##     100, 104, 97, 91, 89, 82, 82, 45, 49, 43, 13, 12, -35, -46, 
##     -58, -87, -69, -67, -40, -43, -32, -18, -10, 1, 21, 15, 66, 
##     76, 123, 100, 96, 92, 114, 137, 107, 116, 104, 109, 102, 
##     96, 87, 66, 57, 49, 57, 67, 79, 83, 87, 101, 103, 100, 107, 
##     115, 128, 121, 126, 122, 111, 107, 112, 121, 118, 113, 111, 
##     103, 74, 66, 41, -18, -26, -30, -58, -65, -73, -82, -85, 
##     -108, -110, -98, -89, -83, -73, -59, -55, -30, -41, 59, 52, 
##     56, 126, 117, 129, 99, 92, 91, 106, 113, 119, 90, 91, 96, 
##     101, 0, -8, -34, -40, -42, -41, -43, -80, -107, -124, -136, 
##     -150, -155, -162, -94, -75, -46, -48, 68, 154, 110, 96, 93, 
##     141, 127, 97, 76, -1, -22, -30, -29, -27, -28, -22, -58, 
##     -65, -72, -92, -92, -96, -86, -68, -75, -58, -60, -56, -52, 
##     -45, -42, -33, 50, 74, 58, 47, 67, 95, 104, 122, 124, 114, 
##     93, 88, 100, 142, 116, 98, 94, 82, 83, 99, 100, 105, 112, 
##     110, 106, 116, 124, 125, 168, 105, 124, 113, 152, 146, 146, 
##     147, 111, 90, 82, 107, 132, 112, 119, 132, 139, 151, 148, 
##     175, 113, 124, 126, 133, 117, 111, 116, 139, 139, 144, 150, 
##     145, 129, 96, 67, 40, 13, 24, 21, 6, -8, 0, 33, -17, 21, 
##     -46, -32, -28, -47, -71, -72, -78, -74, -74, -55, -47, -35, 
##     -23, 7, 7, 15, 49, -33, -13, -17, -28, -39, -37, 4, 39, 50, 
##     59, 77, 98, 101, 97, 98, 100, 111, 141, 137, 125, 106, 121, 
##     115, 86, 86, 79, 79, 76, 87, 101, 108, 111, 149, 151, 166, 
##     156, 145, 128, 149, 166, 176, 191, 169, 9, -23, -40, -52, 
##     -68, -69, 276, 256, 232, 229, 243, 243, 240, 235, 234, 228, 
##     228, 247, 241, 238, 239, 232, 224, 208, 190, 197, 207, 187, 
##     178, 178, 181, 184, 188, 186, 183, 178, 182, 178, 181, 190, 
##     183, 177, 188, 183, 182, 185, 183, 317, 311, 296, 269, 251, 
##     208, 235, 262, 279, 286, 296, 266, 317, 321, 320, 287, 283, 
##     222, 203, 143, 232, 240, 319, 296, 345, 329, 342, 361, 364, 
##     350, 344, 332, 325, 319, 305, 291, 280, 283, 207, 116, 110, 
##     95, 54, -36, -53, -78, -88, -100, -94, -46, 67, 91, 126, 
##     144, 167, 182, 195, 239, 268, 293, 280, 310, 322, 312, 244, 
##     226, 164, 146, 80, 44, 16, -17, -43, -55, -69, -90, -63, 
##     -44, -27, 9, 62, 167, 177, 250, 249, 257, 298, 288, 306, 
##     330, 335, 341, 339, 20, 59, 96, 78, 128, 160, 214, 259, 263, 
##     308, 348, 307, 285, 275, 303, 322, 336, 302, 287, 275, 276, 
##     276, 296, 306, 328, 285, 278, 288, 269, 270, 271, 287, 278, 
##     332, 345, 356, 341, 328, 320, 315, 332, 323, 325, 270, 260, 
##     242, 182, 125, 107, 11, -30, -31, 261, 292, 305, 336, 352, 
##     332, 317, 259, 252, 284, 309, 312, 292, 277, 278, 264, 267, 
##     272, 266, 277, 291, 295, 349, 304, 308, 315, 303, 297, 292, 
##     280, 299, 317, 336, 338, 278, 268, 272, 284, 274, 268, 303, 
##     333, 320, 359, 325, 247, 257, 225, 172, 133, 46, 38, 71, 
##     116, 130, 111, 85, 109, 123, 120, 181, 206, 226, 270, 300, 
##     362, 327, -22, -87, -106, -138, -111, -39, -15, -2, 19, 49, 
##     122, 178, 185, 211, 267, 278, 394, 413, 397, 372, 356, 364, 
##     358, 344, 344, 333, 315, 316, 267, 271, 285, 272, 260, 260, 
##     271, 279, 271, 266, 257, 256, 249, 251, 261, 273, 270, 271, 
##     270, 272, 275, 272, -164, -161, -148, -26, -23, 60, 55, 80, 
##     111, 131, 206, 302, 275, 257, 306, 343, 307, 321, 351, 340, 
##     346, 346, 343, 275, 274, 235, 210, 191, 122, 88, 36, -41, 
##     -95, -123, -137, -264, -268, -243, -215, -197, -122, -123, 
##     -96, -79, -62, -36, 18, 79, 140, 211, 242, 291, 350, 344, 
##     357, 376, 373, 365, 356, 351, 344, 333, 315, 313, 244, 197, 
##     128, 101, 78, 50, 32, -15, 343, 325, 316, 282, 267, 262, 
##     251, 189, 115, 64, -36, -36, -52, -152, -254, -264, -232, 
##     -212, -175, -138, -72, -48, 25, 25, 125, 122, 107, 182, 165, 
##     172, 193, 231, 303, 328, 358, 352, 383, 374, 391, 371, 371, 
##     371, 353, 340, 339, 340, 334, 310, 276, 230, 172, 79, -2, 
##     -30, -49, -65, -117, -132, -145, -184, -239, -265, -235, 
##     -215, -190, -164, -153, -136, -126, -96, -69, -55, -17, 30, 
##     284, 323, 326, 340, 346, 320, 322, 304, 299, 300, 299, 294, 
##     267, 243, 231, 183, 36, -4, -28, -29, 58, 205, 231, 203, 
##     303, 276, 284, 294, 281, 312, 307, 297, 298, 290, 279, 270, 
##     272, 269, 264, 260, 261, 265, 268, 275, 278, 277, 273, 282, 
##     285, 311, 318, 315, 323, 306, 305, 280, 258, 263, 300, 295, 
##     285, 289, 299, 274, 281, 286, 280, 284, 275, 275, 269, 258, 
##     248, 247, 237, 249, 272, 299, 305, 306, 337, 364, 324, 326, 
##     300, 246, 122, 107, 85, 116, 120, 129, 142, 155, 185, 192, 
##     201, 196, 188, 195, 186, 168, 156, 82, 44, -22, -45, -123, 
##     -205, -276, -287, -226, -66, -48, 7, 21, 90, 123, 156, 170, 
##     169, 309, 258, 223, 204, 221, 206, 217, 212, 215, 220, 226, 
##     232, -61, 53, 107, 154, 196, 209, 187, 223, 237, 296, 236, 
##     261, 292, 282, 269, 238, 267, 263, 239, 270, 271, 283, 288, 
##     265, 269, 275, 233, 194, 167, 120, 82, 54, 29, -32, -60, 
##     -118, -198, -234, -151, -107, -54, 54, 76, 59, 101, 128, 
##     216, 221, 278, 239, 226, 213, 201, 231, 226, 233, 259, 260, 
##     264, 279, 255, 244, 238, 218, 212, 185, 172, 167, 146, 34, 
##     11, -72, -105, 278, 274, 275, 259, 233, 215, 198, 163, 153, 
##     139, 131, 131, 90, 75, 26, -18, -43, -100, -125, -159, -189, 
##     -204, -204, -202, -124, -90, -77, -52, 20, 128, 134, 159, 
##     200, 213, 213, 214, 220, 234, 321, 352, 309, 294, 269, 224, 
##     223, 231, 231, 236, 247, 247, 263, 257, 235, 220, 223, 213, 
##     192, 132, 91, 99, 271, 268, 243, 241, 241, 247, 240, 244, 
##     235, 229, 227, 247, 267, 265, 234, 206, 153, 102, 94, 47, 
##     26, 4, -13, -28, -56, -244, -239, -210, -176, -125, -110, 
##     -86, -61, -46, 8, 46, 54, 92, 130, 148, 177, 193, 232, 238, 
##     224, 250, 259, 214, 191, 208, 223, 211, 215, 214, 240, 246, 
##     259, 236, 229, 213, 202, 199, 188, 181, 123, 87, 65, -79, 
##     -143, -168, -189, -223, -217, -200, -183, -165, -165, -148, 
##     -123, -83, -72, 40, 174, 231, 268, 260, 259, 254, 257, 234, 
##     246, 266, 254, 241, 231, 191, 159, 131, 115, 119, 98, 66, 
##     12, -19, -34, -51, -93, -165, -225, -241, -225, -109, -81, 
##     -49, -14, 130, 99, 104, 79, 31, 4, -84, -88, -115, -122, 
##     -152, -160, -152, -280, -338, -326, -276, 82, 65, 35, -44, 
##     -71, -95, -105, -142, -174, -256, -258, -266, -269, -265, 
##     -268, -266, -199, -194, -178, -155, -149, -121, -116, -109, 
##     -61, -32, 34, 24, 50, 76, 72, 61, 100, 114, 117, 102, 116, 
##     140, 172, 182, 167, 127, 114, 129, 130, 127, 117, 60, 24, 
##     -4, -10, -21, -30, -57, -63, -65, -72, -100, -115, -135, 
##     -152, -179, -192, -205, -239, -247, -252, -282, -308, -294, 
##     -257, -234, -233, -246, -233, -227, -207, -188, -164, -90, 
##     -79, -82, -54, -36, 63, 67, 71, 80, 64, 75, 109, -42, 11, 
##     33, 61, 50, 73, 84, 93, 109, 110, 115, 132, 137, 150, 137, 
##     143, 133, 137, 147, 150, 149, 146, 141, 133, 112, 101, 51, 
##     -17, -46, -59, -74, -86, -89, -100, -107, -118, -139, -149, 
##     -186, -223, -248, -308, -310, -307, -258, -256, -233, -230, 
##     -228, -202, -160, -102, -54, -17, -23, -34, 46, 70, 99, 71, 
##     64, 75, 86, 86, 86, 128, 148, 157, 169, 145, 127, 121, 126, 
##     148, 165, 163, 112, 100, 73, 65, -39, -56, -64, -72, -72, 
##     -81, -99, -107, -105, -141, -150, -152, -153, -158, -221, 
##     -244, -266, -293, -292, -275, -269, -267, -261, -253, -251, 
##     -257, -241, -88, -80, 6, -12, -15, 43, 48, 54, 72, 115, 116, 
##     145, 131, 154, 159, 165, 166, 166, 165, 143, 137, 132, 123, 
##     92, 28, 17, 3, -237, -240, -188, -175, -98, -63, 72, 92, 
##     117, 122, 93, 123, 197, 185, 156, 129, 102, 107, 113, 118, 
##     125, 136, 120, 107, 96, 103, 79, -98, -121, -149, -190, -183, 
##     -173, -162, -166, -161, -200, -218, -228, -243, -241, -262, 
##     -297, -307, -315, -320, -294, -224, -191, -190, -181, -187, 
##     -68, -25, 10, -24, -39, -26, 11, 62, 53, 224, 176, 150, 135, 
##     122, 30, 6, -22, -36, -55, -64, -56, -26, 3, 42, 79, 141, 
##     156, 229, 250, 315, 290, 306, 312, 320, 323, 324, 332, 338, 
##     333, 323, 295, 297, 277, 280, 292, 291, 290, 304, 307, 314, 
##     318, 334, 349, 351, 355, 357, 355, 353, 343, 258, 228, 220, 
##     122, 123, 89, 42, -7, -51, -68, -73, -80, -86, -87, -69, 
##     -38, -9, 149, 195, 246, 279, 293, 314, 309, 297, 309, 310, 
##     324, 343, 325, 319, 309, 306, 303, 297, 297, 264, 256, 263, 
##     266, 267, 263, 263, 260, 256, 255, 255, 254, 255, 270, 272, 
##     272, 310, 314, 317, 127, 169, 244, 311, 357, 362, 354, 409, 
##     411, 358, 331, 304, 308, 305, 299, 303, 332, 344, 356, 394, 
##     404, 410, 415, 395, 376, 350, 276, 214, 177, 127, 99, 80, 
##     48, -12, -111, -271, -288, -296, -297, -284, -258, -232, 
##     -210, -195, -150, -130, -24, 145, 170, 210, 249, 271, 298, 
##     357, 360, 355, 362, 388, 369, 368, 360, 355, 374, 348, 299, 
##     296, 293, 297, 305, 319, 339, 360, 368, 384, 401, 404, 405, 
##     420, 428, 426, 392, 276, 241, 219, 168, 139, 107, 85, -119, 
##     -163, -324, -351, -361, -340, -288, -245, -228, -211, -189, 
##     -124, 23, 72, 114, 146, 294, 293, 359, 370, 362, 369, 398, 
##     390, 384, 319, 304, 299, 295, 299, 331, 337, 359, 398, 410, 
##     419, 423, 434, 445, 398, 381, 309, 244, 230, 194, 92, 67, 
##     24, -24, -163, -232, -283, -392, -389, -358, -323, -206, 
##     -113, -37, 19, 111, 142, 178, 225, 246, 321, 336, 318, 320, 
##     340, 362, 372, 375, 370, 360, 355, 353, 344, 333, 321, 298, 
##     274, 266, 267, 283, 303, 299, 339, 381, 390, 368, 362, 353, 
##     336, 291, 213, 180, 95, 36, -138, -172, -196, -241, -341, 
##     -352, -331, -229, -161, -117, -89, 49, 89, 113, 185, 207, 
##     271, 374, 360, 352, 351, 366, 374, 364, 325, 294, 276, 277, 
##     285, 291, 294, 301, 305, 308, 344, 366, 383, 426, 424, 387, 
##     357, 336, 301, 217, 202, 183, 59, -10, -39, -104, -151, -181, 
##     -222, -267, -320, -300, -229, -198, -190, -188, -173, -59, 
##     -44, 27, 98, 188, 222, 240, 262, 297, 324, 381, 355, 358, 
##     333, 391, 385, 345, 345, 338, 318, 325, 323, 328, 348, 347, 
##     355, 396, 410, 413, 418, 428, 382, 370, 349, 312, 178, 157, 
##     116, 44, 24, -36, -54, -69, -104, -201, -226, -265, -310, 
##     -230, -217, -194, -158, -140, -137, -134, -101, 2, 34, 117, 
##     172, 197, 289, 288, 303, 329, 334, 339, 347, 371, 376, 358, 
##     349, 332, 298, 289, 295, 307, 339, 362, 366, 401, -238, -199, 
##     -192, -129, -110, 15, 86, 104, 130, 238, 285, 275, 291, 302, 
##     293, 325, 324, 321, 326, 337, -96, -83, -4, 3, 52, 67, 226, 
##     273, 307, 320, 339, 332, 335, 315, 357, 373, 400, 415, 415, 
##     406, 402, 381, 342, 235, 211, 195, 158, 98, 45, 35, 24, 8, 
##     -64, -118, -129, -145, -146, -126, 19, 116, 111, 187, 198, 
##     272, 309, 288, 320, 372, 370, 352, 344, 372, 414, 353, 348, 
##     337, 305, 298, 299, 286, 265, 263, 266, 262, 255, 262, 254, 
##     258, 259, 264, 270, 261, 262, 267, 265, 279, 270, 275, 274, 
##     276, 278, 270, 279, 275, 279, 283, 287, 288, 301, 328, 314, 
##     308, 316, 328, 326, 331, 331, 316, 303, 248, 231, 203, 183, 
##     172, 150, 110, 70, 72, -62, -88, -96, -128, -149, -198, -219, 
##     -231, -227, -233, -166, -110, -98, -78, 8, 85, 144, 124, 
##     131, 201, 200, 262, 299, 299, 303, 292, 273, 265, 256, 224, 
##     204, 135, 121, -2, -35, -75, -104, -136, -173, -225, -234, 
##     -224, -139, -117, -70, 19, 29, 130, 160, 180, 191, 179, 235, 
##     267, 336, 344, 343, 328, 335, 341, 339, 336, 312, 295, 288, 
##     266, 255, 236, 232, 152, 85, 73, 14, -17, -63, -123, -145, 
##     -174, -233, -180, -118, -25, 39, 42, 48, 69, 85, 120, 210, 
##     285, 297, 362, 365, 384, 388, 377, 373, 386, 395, 360, 349, 
##     347, 342, 331, 311, 293, 246, 178, 157, 138, 126, 87, 33, 
##     -5, -41, -66, -190, -249, -235, -173, -141, -78, -69, 161, 
##     133, 98, 72, 54, 45, -20, -54, -71, -94, -99, -109, -123, 
##     -169, -240, -256, -250, -162, -139, -104, -95, -41, -5, 14, 
##     93, 96, 136, 176, 243, 282, 287, 301, 304, 304, 309, 313, 
##     304, 286, 278, 225, 202, 175, 102, 51, -16, -107, -142, -163, 
##     -180, -193, -230, -220, -206, -190, -177, 242, 288, 312, 
##     369, 366, 353, 181, 134, 89, -111, -250, -252, -241, -224, 
##     -196, -158, -119, -56, 0, 67, 213, 208, 214, 312, 333, 398, 
##     372, 280, 300, 325, 339, 289, 289, 266, 224, 134, 91, 51, 
##     22, -70, -117, -246, -197, -69, -59, -48, 1, 51, 135, 147, 
##     209, 216, 276, 294, 356, 416, 394, 337, 252, 237, 231, 247, 
##     285, 310, 342, 316, 146, 124, 124, 105, 105, 61, 61, 44, 
##     24, -160, -227, -276, -259, -85, 64, 81, 109, 160, 191, 198, 
##     257, 351, 401, 365, 330, 290, 325, 350, 371, 357, 291, 243, 
##     289, 283, 284, 293, 304, 306, 297, 345, 350, 325, 264, 195, 
##     170, 154, 125, 49, 49, 49, 49, 6, -26, -69, -122, -190, -262, 
##     -265, -225, 238, 216, 216, 216, 161, 142, 125, 101, -80, 
##     -184, -322, -299, -150, -116, -87, -36, -40, 10, 79, 103, 
##     132, 147, 217, 229, 210, 249, 342, 356, 343, 311, 317, 335, 
##     350, 340, 319, 308, 273, 203, 196, 203, 102, -102, -150, 
##     -207, -255, -267, -224, -224, -183, -150, -129, -75, 17, 
##     134, 233, 256, 300, 320, 294, 293, 349, 350, 335, 352, 358, 
##     346, 340, 339, 335, 330, 267, 97, 62, 41, -3, -45, -107, 
##     -131, -205, -205, -205, -205, -205, -204, -198, -198, -185, 
##     -151, -50, -35, 0, 25, 36, 183, 192, 242, 254, 306, 281, 
##     314, 325, 318, 305, 318, 265, 264, 177, 157, 156, 62, 54, 
##     37, -241, -181, -168, -116, -94, -78, -63, -57, -52, -21, 
##     -7, 46, 93, 93, 135, 137, 217, 231, 244, 320, 329, 357, 362, 
##     363, 349, 362, 380, 379, 344, 334, 330, 320, 101, 43, 32, 
##     1, -55, -144, -217, 209, 232, 231, 235, 239, 233, 236, 232, 
##     234, 229, 230, 233, 234, 236, 240, 230, 227, 229, 230, 228, 
##     242, 235, 224, 233, 232, 229, 230, 234, 235, 235, 239, 242, 
##     214, 230, 220, 225, 242, 235, 241, 221, 221, 240, 241, 245, 
##     245, 231, 222, 224, 228, 225, 231, 224, 225, 233, 232, 234, 
##     232, 227, 224, 230, 228, 229, 239, 236, 228, 223, 231, 233, 
##     229, 236, 236, 231, 229, 234, 239, 233, 235, 228, 225, 232, 
##     234, 231, 221, 227, 227, 226, 224, 226, 230, 230, 222, 224, 
##     229, 224, 226, 233, 244, 248, 259, 248, 259, 258, 260, 260, 
##     250, 265, 270, 269, 269, 269, 278, 290, 286, 288, 286, 280, 
##     269, 269, 230, 210, 170, 176, 196, 211, 211, 211, 223, 227, 
##     232, 232, 252, 259, 241, 247, 246, 247, 230, 231, 239, 247, 
##     253, 244, 268, 260, 225, 237, 235, 238, 249, 241, 239, 235, 
##     239, 302, 326, 346, 369, 386, 394, 396, 460, 456, 461, 474, 
##     474, 450, 433, 428, 422, 446, 447, 445, 389, 347, 319, 302, 
##     334, 347, 338, 375, 439, 428, 428, 483, 487, 499, 464, 448, 
##     429, 412, 400, 406, 393, 370, 434, 423, 398, 412, 421, 432, 
##     389, 358, 354, 359, 361, 359, 315, 303, 310, 324, 336, 326, 
##     323, 321, 346, 334, 323, 312, 296, 307, 317, 368, 370, 430, 
##     439, 428, 476, 470, 447, 441, 456, 442, 429, 428, 419, 412, 
##     402, 398, 438, 426, 414, 416, 407, 386, 368, 366, 365, 332, 
##     332, 353, 340, 337, 320, 305, 293, 295, 328, 338, 425, 414, 
##     428, 442, 460, 461, 446, 445, 453, 440, 423, 411, 401, 402, 
##     394, 375, 381, 396, 394, 387, 340, 315, 304, 413, 406, 426, 
##     433, 443, 446, 438, 418, 427, 459, 451, 416, 378, 363, 375, 
##     393, 397, 390, 381, 359, 331, 345, 359, 365, 374, 384, 397, 
##     409, 413, 411, 411, 428, 422, 414, 416, 414, 410, 412, 412, 
##     416, 415, 413, 399, 388, 399, 437, 436, 428, 57, 58, 81, 
##     86, 109, 114, 129, 150, 154, 163, 182, 216, 226, 340, 434, 
##     434, 408, 410, 438, 440, 433, 456, 444, 460, 448, 438, 435, 
##     446, 455, 462, 462, 474, 484, 474, 462, 455, 465, 473, 420, 
##     359, 308, 214, 180, 145, 126, 116, 99, 82, 76, 86, 88, 101, 
##     119, 130, 137, 141, 142, 147, 177, 223, 269, 298, 354, 351, 
##     351, 372, 411, 397, 464, 472, 450, 452, 478, 485, 465, 452, 
##     465, 459, 460, 475, 497, 530, 525, 496, 470, 392, 386, 389, 
##     398, 388, 375, 329, 304, 274, 260, 241, 229, 188, 177, 150, 
##     136, 139, 203, 207, 208, 204, 205, 201, 196, 230, 247, 327, 
##     360, 388, 382, 386, 428, 434, 493, 494, 477, 471, 488, 459, 
##     442, 484, 477, 456, 482, 506, 464, 454, 434, 437, 450, 472, 
##     507, 496, 441, 350, 337, 325, 315, 286, 278, 275, 268, 256, 
##     237, 416, 418, 457, 479, 457, 465, 464, 471, 476, 480, 464, 
##     454, 458, 457, 464, 536, 215, 199, 188, 167, 157, 122, 119, 
##     127, 147, 170, 187, 203, 204, 201, 199, 196, 200, 217, 225, 
##     282, 282, 292, 320, 360, 366, 391, 421, 434, 444, 520, 591, 
##     582, 579, 574, 489, 479, 438, 424, 370, 361, 354, 303, 232, 
##     157, 135, 100, 309, 314, 321, 314, 310, 306, 309, 312, 314, 
##     312, 306, 303, 303, 301, 299, 299, 300, 303, 306, 311, 322, 
##     333, 346, 326, 314, 312, 321, 331, 331, 326, 324, 319, 315, 
##     313, 300, 311, 309, 298, 292, 283, 280, 299, 311, 315, 325, 
##     338, 352, 356, 365, 374, 388, 371, 369, 362, 349, 341, 336, 
##     336, 385, 375, 430, 454, 462, 463, 467, 491, 468, 468, 462, 
##     408, 433, 434, 360, 392, 410, 403, 400, 402, 406, 408, 429, 
##     461, 420, 453, 467, 472, 461, 436, 396, 372, 363, 390, 412, 
##     416, 410, 391, 374, 366, 350, 331, 336, 272, 265, 257, 256, 
##     261, 287, 335, 358, 381, 381, 382, 373, 372, 368, 367, 365, 
##     353, 341, 338, 336, 365, 417, 434, 441, 432, 438, 456, 122, 
##     110, 104, 143, 153, 106, 63, 44, 39, 40, 6, -78, -80, -76, 
##     -121, -119, -118, -83, -63, -54, -53, -50, -43, -7, 9, 9, 
##     37, 104, 118, 115, 126, 155, 164, 161, 134, 128, 125, 128, 
##     127, 121, 114, 133, 123, 125, 128, 115, 107, 78, 61, 30, 
##     5, 9, -47, -83, -12, 1, 1, -46, -52, -3, 30, 41, 43, 40, 
##     90, 89, 105, 124, 124, 146, 123, 117, 115, 113, 114, 106, 
##     109, 137, 135, 95, 74, 76, 71, 68, 72, 105, 112, 120, 129, 
##     131, 121, 163, 171, 167, 152, 119, 72, 25, 32, 37, 18, 10, 
##     -26, -36, -30, -29, -16, -17, -27, -45, -52, -51, -54, -58, 
##     -37, -24, 6, 13, 4, 8, 23, 116, 111, 113, 117, 117, 115, 
##     134, 133, 121, 162, 173, 178, 171, 158, 141, 89, 62, 57, 
##     53, 54, 47, 41, 22, 19, 20, -1, 1, -11, -26, -43, -59, -64, 
##     -55, 167, 175, 163, 174, 175, 166, 166, 173, 177, 214, 264, 
##     267, 190, 147, 115, 94, 82, 34, -7, -15, -14, -20, -27, 4, 
##     10, 30, 50, 54, 67, 79, 4, -21, -44, -62, -95, -157, -194, 
##     -216, -201, -170, -285, -314, -353, -351, -263, -265, -260, 
##     -258, -110, -135, -175, -176, -177, -181, -190, -200, -204, 
##     -210, -228, -248, -239, -254, -332, -303, -290, -280, -272, 
##     -254, -250, -252, -236, -215, -211, -179, -158, -134, -122, 
##     -128, -86, -56, 148, 164, 188, 170, 133, 118, 118, 110, 109, 
##     120, 117, 33, 8, -11, -106, -239, -211, -206, -198, -175, 
##     -170, -62, -52, 7, 17, 62, 57, 71, 112, 86, 96, 110, 116, 
##     105, 139, 181, 186, 183, 153, 123, 112, 101, 94, -43, 17, 
##     20, 6, -10, -42, -64, -103, -100, -82, -71, -37, -11, 39, 
##     60, 38, 134, 152, 163, 7, 99, 103, 112, 146, 129, 102, 98, 
##     143, 145, 138, 108, 85, 69, 63, 65, 71, 80, 119, 118, 120, 
##     120, 37, 5, 27, 47, 53, 111, 115, 94, 118, 116, 109, 136, 
##     125, 122, 146, 139, 115, 103, 120, 118, 107, 99, 265, 282, 
##     279, 271, 267, 250, 248, 241, 240, 225, 238, 240, 245, 245, 
##     245, 237, 243, 242, 238, 243, 242, 242, 237, 237, 237, -205, 
##     -141, 0, 27, 137, 157, 184, 194, 222, 219, 228, 338, 353, 
##     373, 349, 310, 272, 242, 237, 219, 211, -24, 0, 23, 47, 65, 
##     76, 258, 248, 264, 304, 307, 284, 279, 328, 337, 247, 253, 
##     260, 287, 162, 72, 71, 51, 14, -85, -225, -275, -257, -257, 
##     -236, -236, -236, -20, 52, 112, 120, 167, 174, 218, 243, 
##     225, 251, 287, 310, 296, 311, 318, 389, 350, 315, 284, 45, 
##     -22, -59, -81, -332, -351, -323, -280, -238, -173, -85, -65, 
##     22, 103, 225, 278, 287, 312, 322, 335, 377, 385, 373, 357, 
##     323, 310, 298, 292, 301, 302, 306, 313, 331, 358, 387, 398, 
##     407, 416, 415, 411, 412, 361, 375, 405, 411, 412, 412, 412, 
##     385, 382, 340, 312, 299, 153, 138, 106, 57, 20, 4, -13, -112, 
##     -175, -206, -289, -296, -269, -231, -215, -157, -132, -110, 
##     -85, 97, -10, 28, 181, 272, 283, 312, 322, 315, 302, 345, 
##     297, 320, 362, 365, 372, 382, 396, 345, 316, 294, 281, 313, 
##     317, 337, 347, 332, 327, 323, 300, 282, 282, 273, 260, 242, 
##     229, 184, 150, 48, 26, 12, -10, -102, -132, -247, -276, -265, 
##     -182, -143, -125, -102, -74, 88, 70, 63, 39, 17, -76, -217, 
##     -277, -276, -250, -163, -132, -106, -63, -36, -35, 47, 85, 
##     115, 119, 120, 158, 199, 311, 309, 284, -226, -255, -222, 
##     -131, -111, -59, -8, -26, 114, 110, 192, 152, 200, 244, 302, 
##     304, 288, 293, 300, 284, 281, 278, 275, 214, 214, 194, 185, 
##     185, 173, 112, 101, 89, 37, -176, -247, -293, -89, 263, 233, 
##     223, 146, 85, 55, -23, -21, -22, -17, -4, 61, 68, 86, 134, 
##     155, 154, 156, 224, 225, 233, 224, 240, 324, -78, -103, -131, 
##     -161, -176, -183, -225, -248, -258, -246, -194, -179, -159, 
##     -143, -129, -83, -74, -45, 4, 76, 126, 202, 216, 234, 268, 
##     336, 341, 338, 346, 344, -46, -12, 13, 38, 65, 81, 90, 136, 
##     162, 216, 266, 316, 319, 340, 328, 310, 266, 250, 245, 229, 
##     199, 187, 163, 164, 172, 182, 195, 214, 223, 268, 224, 223, 
##     215, 197, 193, 177, 207, 216, 216, 212, 218, 225, 230, 240, 
##     240, 151, 152, 153, 157, 145, 166, 178, 175, 170, 158, 140, 
##     134, 134, 133, 139, 152, 150, 140, 139, 139, 167, 170, 171, 
##     -175, -185, -180, -173, -161, -83, 3, 70, 89, 119, 170, 179, 
##     206, 242, 260, 257, 275, 294, 305, 372, 403, 492, 455, 454, 
##     477, 431, 433, 399, 380, 386, 391, 399, 433, 444, 443, 422, 
##     448, 470, 491, 530, 521, 534, 547, 550, 530, 521, 503, 480, 
##     456, 394, 317, 192, 39, -11, -37, -50, -58, -79, -80, -88, 
##     -122, -127, -136, -133, -90, -66, -58, -48, -35, -27, -5, 
##     14, 32, 170, 245, 249, 282, 294, 455, 447, 419, 447, 407, 
##     459, 453, 483, 482, 443, 440, 417, 420, 428, 431, 440, 448, 
##     495, 503, 494, 497, 499, 506, 527, 569, 540, 510, 484, 458, 
##     428, 390, 369, 350, 311, 270, 238, 215, 181, 149, 105, 80, 
##     53, 10, 0, -20, -39, -72, -85, -143, -148, -126, -110, -75, 
##     -52, -22, -6, 5, 46, 69, 99, 122, 426, 428, 443, 454, 495, 
##     496, 506, 496, 484, 525, 533, 523, 154, 245, 262, 298, 335, 
##     339, 364, 367, 353, 344, 330, 322, 306, 292, 306, 307, 285, 
##     278, 275, 274, 277, 274, 273, 266, 267, 278, 276, 265, 271, 
##     273, 271, 281, 279, 284, 276, 274, 270, 269, 277, 278, 274, 
##     282, 282, 275, 309, 302, 306, 310, 298, 287, 295, 304, 311, 
##     346, 356, 362, 372, 377, 376, 299, 287, 287, 111, 85, 71, 
##     47, -9, -98, -108, -124, -136, -151, -164, -175, -212, -214, 
##     -225, -249, -262, -255, -257, -239, -191, -213, -233, -239, 
##     -251, -256, -248, -235, -212, -174, -155, -95, -21, 84, 205, 
##     248, 253, 275, 314, 389, 399, 409, 418, 407, 424, 455, 474, 
##     445, 385, 373, 366, 366, 382, 394, 396, 432, 447, 441, 444, 
##     447, 388, 298, 254, 157, 116, 99, 2, -34, -59, -80, -96, 
##     -98, -133, -179, -279, -292, -227, -202, -190, -202, -216, 
##     -243, -260, -236, -212, -189, -28, 8, 33, 63, 101, 140, 159, 
##     181, 231, 288, 319, 338, 354, 413, 405, 401, 389, 377, 385, 
##     396, 390, 382, -178, -176, -141, -109, 14, 121, 171, 228, 
##     249, 294, 310, 431, 438, 430, 452, 469, 408, 396, 399, 418, 
##     457, 398, 213, 78, -12, -31, -42, -59, -228, -284, -252, 
##     -186, -178, -196, -218, -186, -142, -139, -90, -62, -32, 
##     68, 126, 226, 257, 264, 312, 319, 312, 321, 340, 357, 350, 
##     345, 340, 343, 333, 330, 337, 313, 304, 290, 259, 216, 198, 
##     174, 87, 44, 24, -18, -84, -115, -132, -149, -260, -278, 
##     -340, -277, -232, -192, -209, -217, -162, -145, -126, -105, 
##     -89, -70, -42, 13, -3, -37, -67, -107, -118, -131, -156, 
##     -169, -183, -214, -242, -336, -286, -282, -279, -265, -241, 
##     -238, -227, -198, -180, -167, -120, -101, -27, -10, 24, 87, 
##     129, 138, 155, 226, 255, 267, 286, 323, 345, 385, 364, 368, 
##     388, 396, 389, 387, 393, 399, 418, 430, 442, 429, 376, 216, 
##     85, 22, -39, -64, -221, -262, -283, -297, -315, -310, -290, 
##     -231, -195, -182, -151, -124, -54, 7, 186, 246, 216, 238, 
##     306, 286, 353, 347, 361, 379, 371, 370, 367, 385, 391, 432, 
##     443, 442, 438, 391, 343, 335, 325, 289, 258, 216, 170, 100, 
##     78, -188, -274, -309, -373, -380, -278, -249, -220, -173, 
##     -154, -129, -87, -53, -28, 25, 86, 138, 166, 176, 256, 302, 
##     283, 275, 356, 347, 330, 332, 350, 364, 389, 392, 377, 382, 
##     389, 417, 404, 416, 413, 402, 387, 366, 343, 330, 308, 302, 
##     288, 165, 113, 59, -10, -40, -112, -154, -351, -408, -366, 
##     -340, -308, -265, -227, -211, -201, -195, -173, -155, -145, 
##     -118, -107, -93, -78, -45, 64, 76, 100, 267, 323, 355, 354, 
##     359, 384, 392, 414, 422, 413, 379, 297, 296, 280, 266, 258, 
##     246, 239, 238, 247, 265, 260, 260, 260, 267, 271, 277, 273, 
##     270, 267, 278, 286, 295, 296, 303, 305, 304, 298, 292, 285, 
##     293, 280, 274, 263, 291, 291, 285, 278, 269, 257, 261, 251, 
##     256, 267, 271, 261, 264, 255, 252, 250, 253, 263, 272, 268, 
##     275, 275, 270, 265, 261, 264, 264, 274, 276, 274, 281, 213, 
##     191, 229, 267, 297, 319, 276, 284, 269, 272, 287, 283, 278, 
##     272, 279, 282, 275, 272, 249, 245, 233, 99, 86, -99, -232, 
##     -201, -134, -56, 51, 67, 211, 195, 305, 309, 237, 186, 241, 
##     281, 253, 198, 196, 197, 238, 263, 276, 293, 267, 323, 324, 
##     318, 301, 287, 277, 280, 290, 294, 285, 308, 345, 361, 365, 
##     397, 421, 453, 455, 447, 509, 516, 398, 372, 242, 215, -177, 
##     -406, -585, -390, -245, -196, -159, -177, -151, -123, -95, 
##     25, 91, 322, 349, 350, 350, 355, 415, 435, 387, 375, 477, 
##     380, 351, 357, 329, 327, 314, 321, 334, 378, 398, 417, 444, 
##     413, 380, 297, 274, 237, 226, 224, 141, 29, -51, -162, -632, 
##     -173, -152, -123, -123, -107, 196, 283, 368, 344, 339, 46, 
##     103, 81, 70, 110, 175, 156, 148, 140, 136, 140, 160, 163, 
##     161, 132, 94, 75, 22, -7, -21, -58, -67, -71, -73, -74, -92, 
##     -151, -165, -217, -230, -234, -228, -207, -227, -336, -272, 
##     -267, -264, -240, -170, -97, -46, -51, -84, -60, 91, 66, 
##     109, 132, 121, 100, 85, 89, 86, 63, 76, 84, 82, 106, 183, 
##     180, 172, 153, 102, 112, 129, 129, 81, 36, -45, -93, -109, 
##     -121, -136, -145, -182, -201, -215, -245, -248, -238, -231, 
##     -230, -320, -343, -379, -306, -302, -291, -279, -275, -261, 
##     -239, -236, -224, -212, -205, -197, -179, -156, -87, -108, 
##     -98, -43, -74, -29, -28, -2, 13, -3, 37, 86, 96, 90, 99, 
##     170, 164, 153, 152, 110, 103, 116, 118, 117, 118, 116, 96, 
##     79, 60, 79, 111, 99, 71, 57, 66, 78, 71, 69, 68, 54, 55, 
##     43, 44, 48, 52, 52, 50, 44, 41, 39, 43, 55, 61, 99, 138, 
##     157, 190, 206, 220, 224, 207, 185, 167, 167, 183, 196, 201, 
##     181, 169, 112, 74, 24, 8, -20, -108, -140, -186, -208, -236, 
##     -255, -348, -382, -392, -392, -395, -380, -351, -342, -324, 
##     -285, -267, -259, -248, -236, -162, -137, -106, -81, -67, 
##     -43, -47, -30, -3, 21, 44, 53, 120, 112, 101, 141, 129, 119, 
##     130, 124, 134, 142, 133, 110, 112, 115, 97, 95, 114, 116, 
##     127, 180, 163, 165, 212, 205, 228, 121, -48, -89, -76, -67, 
##     -58, -81, -80, -98, -156, -167, -186, -196, -193, -220, -240, 
##     -256, -274, -292, -295, -303, -306, -305, -303, -300, -299, 
##     -278, -255, -239, -226, -202, -89, -62, -23, 69, 25, 39, 
##     55, 65, 75, 163, 162, 134, 145, 148, 160, 161, 157, 150, 
##     149, 149, 143, 147, 152, 164, 169, 165, 169, 162, 163, 156, 
##     157, 164, 167, 148, 116, 86, 50, 14, -42, -103, -105, -110, 
##     -139, -210, -233, -393, -381, -372, -337, -321, -308, -295, 
##     -271, -251, -237, -213, -184, -150, -139, -100, -92, -44, 
##     -21, -9, 29, 52, 36, 101, 112, 109, 117, 101, 112, 155, 135, 
##     152, 163, 134, 127, 120, 142, 152, 164, 179, 177, 170, 145, 
##     156, 172, 192, 192, 123, 163, 164, 177, 178, 164, 126, 133, 
##     152, 119, 12, -13, -42, -79, -96, -120, -144, -158, -180, 
##     -185, -175, -166, -220, -238, -289, -295, -299, -332, -332, 
##     -316, -308, -300, -289, -279, -229, -223, -209, -175, -117, 
##     -91, -75, -70, -59, -44, -42, -22, -12, 15, 28, 103, 135, 
##     158, 138, 137, 152, 161, 168, 178, 165, 140, 127, 130, 138, 
##     144, 132, 136, 138, 130, 139, 124, 230, 242, 221, 218, 227, 
##     -31, -113, -124, -136, -138, -143, -183, -214, -225, -263, 
##     -303, -341, -361, -378, -388, -383, -379, -374, -336, -337, 
##     -336, -325, -298, -289, -290, -285, -270, -256, 86, 116, 
##     138, 159, 168, 168, 164, 171, 183, 170, 144, 115, 108, 157, 
##     158, 24, 6, -87, -141, -145, -157, -185, -219, -230, -240, 
##     -290, -352, -360, -380, -376, -364, -358, -356, -350, -344, 
##     -337, -316, -277, -273, -262, -245, -231, -221, -212, -172, 
##     -107, -76, 32, 53, 62, 90, 76, 129, 202, 210, 192, 182, 190, 
##     187, 166, 167, 171, 182, 189, 181, 167, 161, 176, 166, 48, 
##     15, -53, -79, -120, -121, -116, -110, -172, -215, -256, -310, 
##     -322, -384, -370, -351, -337, -325, -321, -309, -279, -280, 
##     -208, -211, -194, -135, -134, -103, -27, 45, 90, 86, 75, 
##     116, 123, 140, 162, 164, 165, 169, 132, 122, 122, 125, 132, 
##     142, 158, 180, 223, 214, 207, 156, 169, 191, 206, 212, 202, 
##     200, 78, -16, -129, -146, -147, -136, -142, -148, -220, -272, 
##     -301, -406, -411, -412, -406, -375, -365, -343, -329, -314, 
##     -305, -287, -252, -248, -239, -232, -222, -210, -167, -164, 
##     -147, -74, -10, -14, -10, 112, 164, 154, 137, 121, 111, 148, 
##     183, 163, 126, 117, 110, 109, 149, 163, 182, 186, 172, 153, 
##     156, 187, 194, 175, 162, 145, 54, 45, 47, 47, -1, -34, -55, 
##     -62, -90, -141, -181, -362, -379, -351, -342, -376, -377, 
##     -330, -316, -295, -277, -264, -260, -245, -226, -197, -123, 
##     -73, -42, -21, 8, 80, 139, 156, 146, 139, 139, 132, 130, 
##     125, 102, 85, 135, 144, 166, 175, 177, 348, 360, 356, 341, 
##     308, 297, 284, 283, 285, 287, 270, 260, 257, 250, 252, 250, 
##     247, 236, 230, 225, 220, 217, 229, 234, 249, 249, 243, 239, 
##     248, 246, 243, 241, 240, 238, 232, 239, 240, 246, 272, 279, 
##     278, 283, 324, 325, 344, 373, 387, 386, 381, 373, 359, 285, 
##     236, 213, 188, -59, -167, -201, -232, -283, -276, -167, -115, 
##     -105, -97, -77, -25, 27, 125, 122, 125, 177, 214, 226, 249, 
##     236, 227, 214, 181, 177, 172, 159, 150, 59, 24, -34, -187, 
##     -220, 234, 214, 192, 162, 19, -58, -95, -145, -211, -252, 
##     -297, -323, -306, -275, -219, -183, -134, -134, 13, 72, 86, 
##     119, 167, 175, 208, 234, 260, 267, 277, 302, 300, 284, 281, 
##     286, 288, 275, 262, 162, 147, 130, 103, 31, 19, -29, -63, 
##     -100, -142, -216, -301, -338, -298, -229, -193, -161, -150, 
##     -108, -94, -8, 23, 72, 215, 210, 247, 280, 282, 272, 278, 
##     289, 294, 289, 293, 293, 275, 270, 219, 200, 153, 46, 14, 
##     -11, -137, -158, -197, -243, -297, -336, -349, -210, -204, 
##     -195, -174, -163, -127, -107, -69, -49, 19, 188, 211, 210, 
##     229, 259, 290, 293, 324, 368, 373, 391, 397, 400, 396, 370, 
##     372, 369, 360, 348, 268, 209, 152, 112, 51, -59, -89, -192, 
##     -316, -251, -210, -194, -176, -155, -121, -102, 6, 51, 111, 
##     129, 150, 185, 191, 194, 220, 260, 323, 319, 324, 351, 364, 
##     350, 346, 338, 337, 283, 188, 161, 99, 80, 33, 1, -57, -104, 
##     -121, -228, -315, -267, -242, -204, -191, -156, -131, -45, 
##     -26, 51, 79, 91, 181, 193, 218, 286, 313, 310, 308, 311, 
##     320, 293, 280, 170, 141, 316, 308, 306, 301, 302, 300, 285, 
##     248, 238, 211, 166, 97, 50, -21, -47, -99, -137, -163, -281, 
##     -301, -252, -232, -219, -200, -153, -145, -126, -90, -69, 
##     31, 60, 104, 172, 173, 193, 218, 227, 294, 295, 317, 360, 
##     339, 350, 353, 339, 328, 332, 322, 322, 313, 277, 259, 239, 
##     224, 212, 199, 141, 89, 33, -84, -135, -167, -262, -299, 
##     -247, -196, -168, -159, -153, -137, 8, 19, 63, 118, 138, 
##     133, 152, 186, 171, 215, 219, 237, 267, 276, 281, 332, 348, 
##     348, 359, 359, 340, 333, 329, 320, 286, 279, 262, 233, 225, 
##     208, 194, 206, 201, 196, 185, 178, 180, 173, 164, 167, 177, 
##     188, 189, 192, 206, 202, 204, 203, 201, 194, 196, 200, 202, 
##     202, 200, 197, 197, 197, 197, 198, 198, 200, 200, 203, 200, 
##     198, 200, 201, 204, 203, 205, 182, 210, 189, 179, 171, 177, 
##     193, 207, 188, 180, 169, 151, 146, 244, 244, 247, 250, 248, 
##     244, 236, 239, 239, 245, 241, 241, 245, 242, 241, 244, 237, 
##     236, 236, 237, 236, 238, 238, 235, 234, 235, 240, 241, 238, 
##     235, 240, 236, 215, 219, 240, 249, 251, 259, 175, 185, 184, 
##     185, 267, 385, 425, 409, 444, 484, 469, 443, 383, 209, 178, 
##     60, 15, -316, -426, -366, -312, -62, -20, 32, 82, 125, 253, 
##     264, 297, 331, 454, 426, 385, 362, 352, 377, 458, 459, 448, 
##     457, 417, 432, 411, 300, 242, 242, 226, 186, 143, 124, 17, 
##     -90, -226, -312, -312, -419, -419, -496, -496, -491, -426, 
##     -366, -309, -195, -146, -4, 180, 220, 241, 275, 264, 270, 
##     362, 348, 353, 344, 353, 387, 348, 330, 348, 383, 419, 443, 
##     390, 350, 236, 215, 168, 142, 108, 24, -197, -197, -279, 
##     -354, -375, -365, -269, -187, -89, 20, 109, 208, 215, 230, 
##     212, 218, 255, 465, 433, 318, 251, 240, 259, 377, 416, 416, 
##     416, 431, 436, 416, 430, 343, 305, 223, 185, 158, -141, -214, 
##     -313, -270, -227, -227, -173, -131, -97, 30, 69, 129, 135, 
##     160, 295, 306, 266, 371, 386, 398, 388, 327, 356, 396, 399, 
##     403, 407, 382, 235, 62, -47, -47, -151, -192, -245, -245, 
##     -296, -315, -271, -124, 31, 213, 210, 204, 226, 281, 275, 
##     315, 405, 399, 359, 340, 332, 310, 329, 363, 389, 389, 374, 
##     375, 372, 381, 377, 374, 383, 375, 352, 352, 323, 271, 193, 
##     141, 138, 98, 18, -85, -85, -85, -132, -176, -220, -254, 
##     -284, -281, -264, -216, -5, 18, 51, 151, 134, 125, 218, 211, 
##     275, 272, 340, 370, 356, 347, 338, 338, 344, 346, 371, 376, 
##     381, 397, 382, 386, 317, 284, 203, 179, 112, -52, -114, -352, 
##     -387, -358, -210, -126, -89, -64, 24, 109, 116, 136, 244, 
##     256, 260, 307, 354, 332, 339, 336, 324, 331, 337, 356, 239, 
##     326, 341, 340, 299, 292, 287, 304, 341, 373, 357, 376, 365, 
##     339, 322, 291, 175, 152, 75, -276, -352, -348, -298, -268, 
##     -171, -107, -4, 83, 185, 298, 290, 345, 363, 347, 329, 349, 
##     388, 329, 236, 290, 304, 326, 340, 264, 256, 258, 246, 251, 
##     205, 153, 151, 147, 146, 161, 162, 171, 163, 167, 172, 173, 
##     173, 171, 167, 167, 169, 166, 163, 161, 167, 172, 165, 160, 
##     166, 171, 173, 175, 172, 170, 166, 166, 160, 161, 164, 167, 
##     159, 159, 157, 168, 168, 166, 168, 161, 159, 164, 161, 167, 
##     163, 504, 495, 483, 482, 472, 486, 491, 492, 440, 397, 359, 
##     339, 299, 254, 224, 189, 176, 140, 140, 150, 181, 190, 197, 
##     207, 210, 211, 200, 197, 189, 181, 182, 202, 209, 248, 253, 
##     279, 321, 349, 354, 363, 378, 413, 435, 461, 451, 460, 510, 
##     475, 478, 458, 432, 432, 441, 443, 441, 441, 450, 453, 446, 
##     454, 457, 462, 471, 486, 492, 499, 509, 488, 490, 468, 442, 
##     377, 333, 305, 289, 263, 178, 155, 94, 94, 97, 103, 128, 
##     127, 134, 156, 160, 162, 172, 207, 263, 274, 317, 329, 369, 
##     393, 403, 416, 435, 456, 434, 452, 445, 440, 463, 463, 471, 
##     484, 484, 470, 411, 415, 429, 424, 424, 427, 430, 436, 447, 
##     477, 504, 536, 564, 583, 578, 537, 519, 497, 449, 242, 224, 
##     183, 176, 141, 121, 109, 105, 102, 110, 120, 155, 170, 176, 
##     175, 176, 184, 181, 211, 279, 315, 316, 345, 346, 377, 397, 
##     427, 424, 463, 462, 470, 435, 446, 452, 460, 467, 463, 451, 
##     437, 429, 433, 441, 446, 472, 502, 530, 532, 531, 540, 532, 
##     525, 469, 451, 437, 425, 413, 406, 283, 225, 181, 170, 162, 
##     155, 140, 129, 122, 113, 112, 123, 133, 148, 161, 163, 164, 
##     162, 161, 164, 225, 236, 263, 331, 364, 397, 423, 405, 426, 
##     409, 446, 472, 464, 460, 460, 454, 443, 442, 443, 440, 434, 
##     454, 463, 471, 470, 463, 471, 482, 485, 509, 528, 489, 475, 
##     453, 202, 203, 300, 319, 363, 382, 444, 386, 447, 468, 471, 
##     487, 478, 477, 436, 438, 439, 436, 441, 455, 469, 468, 462, 
##     461, 459, 457, 463, 468, 496, 478, 487, 491, 487, 480, 453, 
##     425, 373, 264, 236, 213, 204, 185, 126, 102, 0, -40, 95, 
##     103, 98, 93, 93, 96, 101, 103, 108, 108, 107, 98, 91, 101, 
##     131, 183, 216, 252, 273, 303, 339, 366, 388, 439, 428, 425, 
##     446, 473, 487, 515, 505, 499, 488, 463, 400, 392, 392, 392, 
##     394, 394, 389, 318, 316, 310, 303, 301, 310, 321, 315, 310, 
##     308, 309, 310, 333, 340, 335, 331, 326, 325, 323, 329, 327, 
##     336, 342, 346, 348, 342, 349, 346, 346, 353, 347, 343, 341, 
##     346, 351, 352, 362, 360, 354, 338, 336, 340, 341, 339, 342, 
##     347, 355, 357, 344, 342, 345, 367, 382, 410, 477, 489, 535, 
##     553, 539, 547, 560, 514, 467, 442, 376, 353, 303, 297, 270, 
##     222, 199, 99, 61, 6, -20, -56, -98, -146, -161, -155, -143, 
##     -129, -123, -127, -125, -113, -106, -103, -103, -95, -87, 
##     -65, -45, -37, -22, 466, 466, 465, 440, 434, 395, 385, 372, 
##     337, 339, 370, 445, 417, 401, 543, 521, 510, 541, 505, 485, 
##     461, 441, 12, 29, 93, 115, 145, 164, 202, 228, 232, 264, 
##     258, 275, 307, 383, 449, 476, 481, 473, 359, 361, 359, 358, 
##     359, 357, 356, 357, 352, 349, 346, 337, 338, 334, 336, 337, 
##     336, 331, 327, 327, 322, 317, 313, 315, 322, 321, 319, 412, 
##     397, 385, 372, 363, 356, 349, 335, 198, 179, 99, 81, 82, 
##     76, 83, 88, 115, 113, 117, 142, 291, 336, 230, 187, 114, 
##     28, -200, -595, -365, -141, -134, -134, -98, -61, -42, -3, 
##     130, 211, 205, 234, 262, 282, 320, 323, 379, 356, 330, 337, 
##     290, 299, 330, 322, 398, 406, 302, 398, 375, 353, 339, 344, 
##     327, 361, 388, 404, 406, 414, 422, 407, 412, 399, 394, 353, 
##     343, 300, 247, 150, 123, 97, 57, -51, -102, -233, -426, -377, 
##     -312, -254, -178, -137, -52, 8, 73, 154, 192, 273, 346, 408, 
##     454, 464, 368, 368, 380, 322, 335, 409, 372, 330, 319, 331, 
##     328, 354, 373, 426, 439, 411, 376, 338, 344, 352, 296, 301, 
##     247, 188, 128, 20, -36, -101, -237, -537, -445, -332, -149, 
##     -130, -104, -107, -107, 100, 127, 187, 302, 308, 435, 423, 
##     409, 405, 337, 321, 346, 379, 313, 312, 322, 323, 310, 315, 
##     338, 300, 350, 382, 350, 346, 362, 393, 431, 398, 375, 374, 
##     337, 339, 390, 377, 349, 361, 361, 420, 443, 454, 448, 373, 
##     427, 489, 380, 376, 356, 346, 368, 409, 343, 289, 318, 334, 
##     328, 329, 326, 328, 354, 354, 345, 373, 394, 413, 453, 457, 
##     463, 470, 469, 489, -20, -81, -170, -417, -448, -375, -240, 
##     -163, -151, -69, 148, 184, 173, 325, 397, 454, 512, -266, 
##     -178, -91, 44, 331, 322, 343, 402, 422, 408, 415, 397, 371, 
##     360, 332, 284, 254, 231, 256, 257, 249, 214, 214, 228, 213, 
##     215, 234, 249, 261, 238, 229, 237, 248, 234, 245, 254, 249, 
##     238, 230, 224, 159, 158, 160, 159, 160, 170, 170, 170, 168, 
##     161, 162, 161, 162, 165, 165, 170, 172, 152, 145, 143, 148, 
##     149, 149, 146, 138, 138, 146, 153, 152, 154, 154, 167, 168, 
##     170, 169, 163, 156, 155, 160, 165, 164, 164, 141, 145, 150, 
##     150, 161, 168, 166, 168, -249, -221, -216, -167, 3, -2, 37, 
##     38, 120, 109, 127, 220, 129, 122, 127, 135, 141, 174, 154, 
##     137, 109, 157, 170, 179, 182, 185, 184, 179, 176, 176, 178, 
##     175, 175, 177, 175, 168, 168, 180, 179, 162, 166, 167, 178, 
##     167, 166, 162, 345, 372, 370, 367, 377, 383, 390, 394, 402, 
##     213, 136, 104, 104, 87, 62, -154, -232, -341, -401, -388, 
##     -347, -217, -176, -153, -62, -24, 362, 362, 379, 381, 392, 
##     376, 326, 293, 293, 265, 265, 202, 170, 128, 82, 43, -69, 
##     -69, -135, -241, -295, -174, -131, 83, 195, 221, 275, 268, 
##     258, 248, 247, 263, 266, 255, 242, 244, 253, 252, 259, 262, 
##     251, 242, 214, 209, 204, 204, 203, 203, 205, 196, 187, 169, 
##     171, 174, 174, 200, 199, 201, 200, 200, 201, 200, 200, 201, 
##     200, 201, 201, 202, 199, 201, 202, 201, 200, 200, 199, 202, 
##     201, 93, 49, -63, -106, -328, -309, -236, -160, -112, -99, 
##     7, 27, 107, 128, 172, 193, 206, 240, 253, 263, 272, 278, 
##     280, 283, -299, -288, -253, -202, -174, -150, -141, -130, 
##     -95, -80, -40, 24, 56, 78, 87, 132, 148, 197, 207, 239, 258, 
##     290, 306, 315, 279, 259, 519, 476, 446, 349, 380, 350, 359, 
##     385, 407, 411, 410, 422, 412, 378, 353, 318, 293, 273, 253, 
##     202, 182, 158, 142, 31, -94, -135, -287, -448, -456, -393, 
##     435, 341, 260, 246, 234, 231, 149, 124, 1, -93, -157, -338, 
##     -413, -207, -208, -177, -126, -126, -99, 74, 206, 282, 310, 
##     387, 414, 425, 443, 395, 383, 297, 264, 207, 197, 166, 89, 
##     42, -311, -416, -367, -183, -126, -113, 221, 303, 316, 381, 
##     369, 363, 365, 360, 331, 282, 266, 237, 204, 176, 74, 9, 
##     -106, -228, -405, -350, -304, -214, -203, -146, -115, -30, 
##     49, 87, 239, 341, 342, 376, 358, 345, 354, 391, 351, 322, 
##     334, 274, 300, 331, 320, 299, 289, 302, 351, 348, 377, 381, 
##     390, 376, 381, 341, 394, 415, 407, 399, 401, 393, 393, 402, 
##     397, 428, 446, 452, 309, 254, 211, 166, 84, 50, -6, -37, 
##     -107, -125, -131, 42, 13, -21, -75, -114, -146, -162, -182, 
##     -211, -264, -350, -365, -360, -314, -288, -266, -242, -171, 
##     -116, -63, -53, 148, 230, 205, 204, 312, 349, 104, 273, 284, 
##     341, 401, 392, 391, 447, 436, 435, 428, 406, 404, 416, 455, 
##     442, 418, 375, 336, 250, 148, 360, 358, 358, 373, 385, 390, 
##     385, 380, 269, 183, -42, -50, -62, -90, -104, -111, -131, 
##     -155, -180, -198, -292, -310, -270, -233, -208, -210, -210, 
##     -217, -224, 298, 309, 505, 496, 501, 461, 450, 425, 393, 
##     391, 394, 401, 323, 307, 291, 266, 236, 221, 200, 33, -50, 
##     -68, -91, -99, -141, -159), accel_forearm_z = c(-215, -216, 
##     -213, -214, -214, -215, -215, -213, -214, -215, -214, -215, 
##     -215, -214, -214, -215, -213, -216, -216, -215, -214, -213, 
##     -214, -213, -214, -216, -214, -217, -217, -217, -217, -216, 
##     -216, -214, -216, -215, -214, -215, -213, -214, -212, -216, 
##     -216, -216, -215, -216, -214, -214, -216, -215, -216, -216, 
##     -217, -215, -216, -215, -214, -215, -211, -213, -213, -214, 
##     -215, -216, -215, -214, -213, -212, -214, -213, -213, -215, 
##     -211, -212, -210, -213, -213, -213, -217, -214, -214, -213, 
##     -213, -215, -215, -215, -213, -212, -214, -215, -213, -212, 
##     -213, -213, -213, -212, -214, -216, -214, -213, -215, -212, 
##     -214, -213, -214, -214, -215, -213, -215, -215, -213, -215, 
##     -212, -214, -213, -215, -215, -216, -214, -215, -213, -213, 
##     -216, -213, -214, -214, -214, -214, -215, -211, -213, -216, 
##     -215, -215, -213, -212, -215, -217, -214, -213, -215, -214, 
##     -214, -215, -213, -214, -213, -211, -214, -214, -215, -213, 
##     -214, -213, -214, -215, -215, -214, -212, -211, -215, -213, 
##     -216, -213, -213, -198, -197, -198, -196, -198, -193, -191, 
##     -192, -193, -191, -192, -195, -197, -196, -194, -195, -184, 
##     -183, -186, -185, -188, -190, -198, -196, -197, -197, -194, 
##     -192, -194, -193, -191, -191, -188, -189, -188, -186, -188, 
##     -187, -187, -185, -184, -183, -184, -181, -184, -183, -183, 
##     -183, -184, -186, -186, -186, -178, -177, -177, -181, -188, 
##     -192, -184, -179, -180, -180, -179, -176, -170, -166, -160, 
##     -155, -154, -156, -155, -154, -159, -155, -158, -167, -170, 
##     -169, -166, -170, -171, -194, -201, -203, -203, -210, -206, 
##     -207, -212, -215, -208, -205, -205, -208, -211, -207, -203, 
##     -199, -192, -188, -186, -175, -173, -171, -158, -153, -147, 
##     -144, -141, -139, -143, -143, -143, -144, -144, -146, -148, 
##     -153, -162, -180, -184, -189, -190, -193, -195, -199, -197, 
##     -198, -200, -191, -188, -188, -194, -196, -200, -193, -184, 
##     -190, -194, -185, -185, -188, -191, -191, -191, -192, -190, 
##     -192, -191, -191, -194, -196, -196, -197, -198, -194, -198, 
##     -192, -187, -186, -187, -187, -194, -198, -199, -194, -194, 
##     -194, -195, -197, -189, -190, -193, -194, -194, -195, -196, 
##     -193, -195, -194, -196, -194, -195, -197, -192, -189, -188, 
##     -193, -192, -193, -188, -188, -189, -190, -191, -190, -191, 
##     -190, -191, -192, -190, -192, -192, -192, -194, -192, -194, 
##     -191, -191, -189, -191, -192, -196, -193, -158, -165, -150, 
##     -150, -163, -181, -182, -180, -192, -191, -196, -222, -228, 
##     -210, -204, -200, -203, -187, -181, -161, -150, -145, -144, 
##     -134, -140, -145, -137, -125, -133, -149, -152, -156, -162, 
##     -155, -147, -144, -150, -166, -171, -174, -183, -183, -185, 
##     -181, -180, -176, -172, -173, -167, -166, -163, -159, -161, 
##     -160, -162, -168, -168, -175, -170, -174, -177, -180, -178, 
##     -162, -164, -177, -180, -184, -178, -193, -207, -213, -220, 
##     -227, -247, -244, -224, -220, -208, -200, -201, -195, -189, 
##     -180, -167, -160, -162, -151, -144, -147, -150, -154, -157, 
##     -152, -153, -146, -152, -155, -158, -160, -161, -161, -167, 
##     -171, -179, -179, -180, -179, -177, -174, -172, -160, -158, 
##     -155, -153, -150, -149, -151, -158, -167, -181, -175, -172, 
##     -167, -167, -170, -168, -139, -130, -138, -149, -147, -144, 
##     -141, -146, -145, -148, -151, -157, -161, -166, -168, -171, 
##     -163, -164, -159, -158, -156, -156, -147, -137, -128, -143, 
##     -156, -162, -159, -142, -140, -142, -157, -171, -190, -193, 
##     -203, -222, -203, -194, -191, -188, -192, -192, -191, -185, 
##     -176, -174, -174, -174, -151, -142, -137, -122, -116, -100, 
##     -90, -120, -114, -129, -133, -149, -140, -139, -146, -154, 
##     -171, -166, -164, -162, -165, -159, -162, -161, -161, -159, 
##     -144, -141, -165, -168, -167, -171, -163, -168, -176, -176, 
##     -188, -199, -207, -231, -229, -215, -155, -155, -156, -157, 
##     -159, -160, -141, -140, -138, -134, -135, -157, -158, -158, 
##     -159, -154, -152, -167, -167, -169, -172, -171, -176, -187, 
##     -198, -197, -203, -213, -245, -165, -172, -172, -168, -165, 
##     -162, -163, -163, -162, -162, -155, -152, -173, -188, -182, 
##     -174, -180, -188, -194, -193, -200, -216, -156, -170, -162, 
##     -144, -140, -151, -140, -151, -181, -176, -175, -181, -182, 
##     -195, -195, -202, -211, -205, -184, -182, -167, -166, -155, 
##     -136, -137, -123, -128, -150, -133, -129, -163, -179, -164, 
##     -163, -163, -163, -173, -179, -181, -187, -174, -169, -172, 
##     -168, 21, 26, 35, 40, 42, 45, 40, 36, 34, 35, 36, 41, 44, 
##     43, 36, 37, 31, 35, 35, 33, 32, 32, 28, 33, 41, 44, 48, 52, 
##     51, 45, 44, 42, 38, 37, 45, 46, 44, 37, 27, 25, 27, 36, 39, 
##     41, 43, 43, 39, 30, 25, 32, 33, 36, 36, 38, 42, 44, 45, 47, 
##     45, 46, 45, 38, 33, 38, 35, 36, 32, 31, 30, 37, 43, 40, 41, 
##     42, 46, 41, 42, 38, 42, 42, 40, 37, 32, 32, 32, 41, 44, 41, 
##     45, 46, 43, 42, 43, 40, 38, 37, 31, 30, 40, 35, 35, 42, 48, 
##     42, 41, 40, 42, 35, 33, 30, 40, 40, 40, 39, 43, 43, 39, 37, 
##     38, 35, 35, 39, 36, 37, 38, 36, 32, 30, 36, 36, 38, 46, 43, 
##     34, 37, 43, 40, 39, 42, 42, 39, 29, 32, 34, 34, 34, 39, 45, 
##     37, 38, 42, 43, 44, 43, 40, 38, 39, 36, 34, 34, 35, 37, 44, 
##     45, 41, 36, 33, 34, 29, 35, 38, 40, 40, 39, 42, 41, 44, 45, 
##     41, 44, 42, 37, 35, 34, 36, 30, 28, 29, 30, 36, 38, 40, 42, 
##     43, 39, 34, 34, 29, 34, 32, 33, 40, 33, 34, 38, 39, 24, 22, 
##     52, 53, 52, 48, 50, 45, 48, 17, 15, 14, 11, 5, 14, 21, 29, 
##     29, 29, 26, 25, 33, 38, 55, 62, 62, 43, 39, 36, 33, 29, 33, 
##     36, 34, 37, 36, 37, 34, 33, 33, 53, -216, -87, -252, -208, 
##     -143, -269, -237, -5, -197, -250, -251, -261, -286, -182, 
##     -236, -317, -295, -229, -284, -308, -313, -265, -280, -366, 
##     -269, -145, -182, -85, -44, -5, 7, 22, 45, 61, 71, 50, 24, 
##     21, 23, 28, 31, 35, 35, 28, 27, 34, 26, -64, -100, -111, 
##     -107, -82, -55, -28, -24, 70, -17, -46, -53, -45, -50, -31, 
##     -55, -58, -55, -56, -75, -71, -38, -55, -52, -60, -91, -92, 
##     -71, -68, -70, -80, -92, -57, -68, -93, -20, -69, -49, -44, 
##     -58, -67, -71, -96, -67, -54, -61, -53, -66, -83, -76, -76, 
##     -69, -52, -54, -50, -58, -46, -66, -64, -71, -70, -67, -78, 
##     -68, -71, -64, -66, -68, -76, -70, -67, -60, -75, -17, -26, 
##     -6, -215, -100, -59, -36, -50, -35, -47, -40, -32, -38, -40, 
##     -44, -40, -29, -25, -26, -34, -39, -33, -28, -30, -31, -32, 
##     -34, -33, -31, -32, -39, -37, -29, -24, -40, -37, -33, -33, 
##     -29, -27, -28, -28, -25, -27, -34, -26, -21, -17, -11, 17, 
##     31, 44, 48, 42, 24, 11, 0, -16, -44, -44, -46, -48, -47, 
##     -65, -69, -59, -61, -63, -62, -59, -53, -51, -40, -43, -51, 
##     -54, -58, -59, -60, -57, -56, -54, -69, -67, -69, -68, -67, 
##     -70, -73, -72, -69, -67, -71, -73, -77, -75, -62, -58, -55, 
##     -54, -54, -59, -55, -55, -55, -51, -45, -47, -50, -55, -60, 
##     -65, -62, -61, -65, -67, -63, -65, -59, -54, -55, -60, -65, 
##     -73, -75, -72, -60, -51, -57, -61, -34, -31, -36, -40, -74, 
##     -80, -55, -52, -43, -37, -38, -35, -4, 6, 14, -7, 10, 2, 
##     -5, -8, -5, -11, -1, 6, 6, -2, -12, -21, -21, -15, -10, -13, 
##     -19, -12, -5, -11, 1, -2, -27, -25, -27, -28, -23, -18, -21, 
##     -21, -28, -30, -30, -34, -33, -36, -37, -39, -36, -39, -43, 
##     -43, -42, -30, -20, -15, -14, -15, -17, -15, -18, -37, -49, 
##     -55, -44, -40, -34, -31, -43, -43, -30, -23, -11, -7, 2, 
##     11, 11, 8, 17, 24, 4, 22, 4, -3, 16, 20, 0, -1, 5, 4, -21, 
##     -26, -36, -45, -37, -33, -21, -17, -20, -19, -26, -26, -25, 
##     -25, -28, -36, -46, -36, -37, -39, -40, -37, -34, -27, -17, 
##     -13, -31, -27, -21, -20, -27, -26, -22, -22, -27, -22, -20, 
##     -29, -14, -9, -2, 13, 18, 21, 23, 22, 17, 19, 18, 16, 17, 
##     19, 18, 19, 30, 18, 19, 16, 12, 14, 22, 28, 10, 5, 13, 22, 
##     26, 30, 21, 14, 37, 26, 11, 22, 6, 30, 42, 3, 1, 8, 47, 44, 
##     24, 26, 27, -6, -1, -7, -44, -52, -55, -55, -56, -52, -41, 
##     -34, -24, -44, -46, -48, -48, -47, -48, -50, -49, -43, -41, 
##     -40, -40, -40, -36, -27, -17, -15, -13, -15, -19, -26, -19, 
##     -17, -25, -27, -41, -39, -39, -38, -15, -18, -7, 1, -1, 16, 
##     21, 26, 26, 20, 28, 37, 24, 26, 28, 32, 40, 39, 31, 24, 15, 
##     19, 23, 24, 29, 30, 53, 48, 46, 26, 27, 17, 9, 28, 27, 52, 
##     68, 53, 50, 40, 32, 15, 5, 16, 18, 1, -1, 4, -5, -9, -19, 
##     -34, -38, -31, -22, -17, -18, -25, -25, -28, -30, -31, -24, 
##     -20, -13, -12, 0, 11, 12, 13, 8, 3, -19, -24, -10, -13, -10, 
##     -2, 1, 16, 16, 30, 34, 30, 32, 52, 25, 23, 11, 8, -6, -11, 
##     -13, -28, -28, -38, -24, -22, -26, -35, -39, -44, -40, -36, 
##     -53, -53, -18, -10, -3, 3, -12, -16, -16, -17, -13, -22, 
##     -37, -46, -42, -30, -31, -23, 12, -2, -8, 16, 19, 34, 26, 
##     43, 46, 42, 41, 37, 34, 32, 29, 26, 22, 25, 29, 28, 36, 38, 
##     31, 28, 27, 26, 22, 23, 17, 15, 7, 6, 46, 38, 47, 41, 41, 
##     51, 57, 52, 33, 41, 30, 30, 34, 30, 16, 9, 3, 0, 3, 4, 41, 
##     41, 43, 43, 42, 35, 28, 28, 33, 33, 31, 29, 31, 39, 41, 34, 
##     32, 32, 25, 25, 29, 31, 30, 31, 30, 32, 28, 22, 20, 23, 23, 
##     38, 33, 25, 213, 211, 212, 213, 216, 212, 214, 211, 212, 
##     213, 214, 211, 214, 215, 212, 213, 213, 214, 211, 213, 216, 
##     213, 217, 215, 217, 214, 215, 213, 214, 212, 211, 211, 214, 
##     217, 213, 216, 215, 216, 214, 213, 214, 214, 216, 215, 212, 
##     213, 214, 214, 214, 214, 213, 215, 213, 214, 212, 212, 211, 
##     214, 215, 210, 214, 214, 213, 215, 216, 214, 214, 215, 212, 
##     211, 212, 213, 213, 213, 213, 215, 215, 214, 213, 214, 213, 
##     214, 212, 212, 214, 214, 215, 216, 218, 216, 214, 210, 210, 
##     213, 213, 213, 211, 212, 215, 214, 211, 212, 211, 211, 210, 
##     210, 212, 206, 202, 208, 198, 179, 202, 204, 196, 200, 192, 
##     191, 185, 166, 160, 135, 135, 133, 129, 138, 141, 138, 133, 
##     138, 144, 152, 142, 147, 146, 146, 142, 140, 146, 158, 148, 
##     150, 158, 168, 158, 163, 179, 175, 177, 187, 196, 189, 193, 
##     194, 199, 205, 205, 204, 201, 199, 200, 194, 202, 204, 205, 
##     212, 211, 212, 207, 206, 208, 206, 201, 205, 209, 205, 204, 
##     198, 183, 182, 184, 191, 184, 188, 187, 198, 196, 193, 198, 
##     198, 184, 183, 179, 174, 173, 170, 170, 169, 170, 178, 174, 
##     164, 143, 136, 166, 192, 201, 204, 204, 205, 204, 199, 205, 
##     204, 205, 202, 193, 192, 193, 190, 191, 193, 194, 190, 182, 
##     186, 190, 188, 190, 189, 183, 175, 177, 180, 179, 177, 171, 
##     172, 156, 156, 153, 140, 137, 136, 136, 142, 153, 153, 141, 
##     143, 142, 137, 146, 154, 176, 172, 164, 162, 174, 158, 153, 
##     164, 201, 198, 195, 196, 195, 197, 188, 182, 183, 183, 179, 
##     181, 183, 182, 176, 180, 191, 189, 191, 197, 181, 155, 146, 
##     150, 154, 158, 156, 162, 166, 170, 170, 166, 169, 149, 168, 
##     169, 134, 149, 163, 139, 145, 141, 122, 154, 165, 168, 167, 
##     146, 156, 134, 142, 152, 144, 145, 138, 144, 172, 185, 181, 
##     189, 196, 189, 180, 183, 193, 191, 193, 198, 199, 196, 197, 
##     197, 190, 193, 197, 198, 199, 197, 196, 179, 177, 184, 189, 
##     184, 200, 199, 197, 194, 193, 195, 193, 194, 187, 175, 170, 
##     164, 160, 164, 165, 165, 163, 157, 159, 165, 161, 166, 173, 
##     174, 173, 169, 163, 164, 156, 164, 150, 148, 144, 154, 150, 
##     165, 175, 182, 189, 190, 187, 186, 184, 192, 194, 196, 197, 
##     193, 191, 194, 190, 191, 193, 189, 188, 189, 187, 186, 182, 
##     183, 181, 179, 175, 176, 167, 171, 161, 162, 166, 175, 187, 
##     184, 186, 189, 191, 192, 175, 173, 173, 170, 175, 169, 168, 
##     165, 163, 176, 181, 178, 179, 184, 178, 173, 169, 163, 173, 
##     179, 167, 161, 208, 205, 199, 195, 188, 180, 176, 173, 176, 
##     175, 169, 170, 173, 176, 182, 185, 188, 199, 203, 196, 184, 
##     185, 181, 173, 176, 168, 172, 182, 177, 177, 193, 194, 175, 
##     175, 171, 177, 170, 163, 172, 142, 151, 163, 166, 174, 175, 
##     179, 192, 201, 197, 203, 207, 205, 203, 202, 203, 193, 190, 
##     186, 180, 178, 179, 170, 164, 158, 151, 147, 148, 151, 156, 
##     157, 162, 158, 164, 167, 161, 162, 163, 158, 163, 165, 161, 
##     172, 168, 180, 189, 192, 191, 192, 190, 156, 133, 118, 104, 
##     119, 122, 125, 137, 121, 126, 127, 127, 137, 152, 155, 156, 
##     171, 182, 185, 186, 188, 198, 205, 206, 203, 206, 199, 198, 
##     194, 189, 151, 148, 110, 106, 105, 170, 152, 162, 174, 174, 
##     171, 170, 171, 176, 174, 173, 156, 162, 157, 146, 148, 154, 
##     154, 143, 146, 148, 155, 145, 150, 154, 157, 162, 169, 180, 
##     187, 196, 202, -199, -191, -197, -195, -194, -190, -208, 
##     -213, -199, -191, -187, -186, -191, -197, -197, -195, -198, 
##     -205, -205, -200, -191, -190, -195, -195, -198, -196, -195, 
##     -193, -199, -206, -197, -189, -191, -194, -204, -203, -201, 
##     -195, -197, -199, -200, -200, -199, -198, -200, -200, -200, 
##     -200, -200, -199, -200, -199, -200, -201, -200, -199, -200, 
##     -202, -201, -202, -201, -202, -200, -200, -200, -200, -197, 
##     -198, -200, -202, -200, -201, -199, -199, -202, -202, -202, 
##     -199, -200, -202, -199, -199, -198, -200, -199, -201, -201, 
##     -200, -199, -200, -201, -203, -201, -198, -198, -199, -202, 
##     -201, -197, -199, -202, -202, -203, -204, -205, -202, -200, 
##     -199, -199, -197, -199, -199, -202, -202, -201, -202, -203, 
##     -205, -206, -204, -203, -199, -201, -203, -202, -202, -200, 
##     -201, -204, -203, -205, -204, -202, -204, -202, -202, -200, 
##     -199, -202, -202, -203, -205, -204, -206, -205, -205, -204, 
##     -199, -197, -199, -196, -201, -203, -201, -203, -204, -202, 
##     -201, -200, -201, -204, -204, -205, -205, -203, -201, -202, 
##     -203, -202, -204, -202, -201, -201, -201, -205, -203, -202, 
##     -202, -204, -201, -201, -203, -200, -202, -202, -204, -203, 
##     -202, -202, -201, -203, -202, -203, -200, -200, -199, -200, 
##     -200, -200, -202, -202, -203, -201, -197, -199, -200, -199, 
##     -201, -208, -206, -206, -199, -199, -200, -200, -201, -201, 
##     -200, -198, -199, -201, -201, -208, -212, -207, -202, -202, 
##     -199, -198, -203, -204, -202, -203, -203, -201, -203, -203, 
##     -202, -201, -199, -201, -207, -207, -207, -204, -200, -198, 
##     -198, -202, -204, -205, -205, -204, -204, -203, -201, -204, 
##     -204, -186, -186, -186, -199, -198, -199, -202, -204, -204, 
##     -194, -192, -193, -189, -185, -186, -192, -193, -195, -199, 
##     -199, -199, -200, -200, -197, -198, -196, -195, -194, -194, 
##     -194, -192, -199, -203, -201, -200, -196, -196, -195, -194, 
##     -197, -195, -194, -194, -195, -196, -198, -201, -202, -203, 
##     -201, -199, -197, -195, -194, -194, -193, -193, -191, -194, 
##     -200, -200, -200, -201, -200, -203, -204, -205, -202, -200, 
##     -199, -206, -188, -194, -198, -208, -205, -206, -208, -207, 
##     -204, -197, -196, -196, -199, -201, -202, -204, -203, -202, 
##     -198, -198, -197, -197, -200, -199, -199, -216, -213, -213, 
##     -211, -214, -213, -214, -214, -216, -213, -212, -214, -215, 
##     -214, -213, -215, -217, -213, -214, -210, -213, -215, -215, 
##     -213, -213, -213, -213, -216, -215, -215, -215, -213, -212, 
##     -214, -214, -217, -216, -215, -216, -214, -212, -213, -213, 
##     -214, -214, -218, -216, -215, -214, -214, -215, -215, -214, 
##     -215, -217, -213, -214, -212, -215, -213, -214, -215, -215, 
##     -215, -214, -214, -215, -215, -215, -213, -213, -215, -214, 
##     -214, -212, -212, -215, -216, -216, -214, -212, -213, -214, 
##     -213, -214, -215, -214, -212, -214, -215, -213, -214, -213, 
##     -214, -215, -213, -214, -214, -215, -215, -214, -212, -211, 
##     -213, -213, -214, -212, -211, -214, -215, -215, -217, -217, 
##     -213, -214, -213, -213, -214, -216, -217, -217, -218, -217, 
##     -216, -214, -214, -218, -217, -217, -219, -219, -217, -217, 
##     -213, -213, -212, -215, -213, -217, -219, -217, -217, -218, 
##     -216, -217, -215, -215, -215, -215, -217, -215, -216, -217, 
##     -216, -219, -215, -215, -217, -215, -218, -217, -216, -216, 
##     -217, -214, -216, -218, -218, -216, -214, -214, -215, -216, 
##     -219, -219, -219, -217, -215, -218, -215, -217, -217, -218, 
##     -218, -218, -217, -217, -216, -218, -217, -215, -217, -217, 
##     -218, -215, -214, -215, -214, -216, -217, -218, -217, -216, 
##     -215, -212, -210, -207, -209, -208, -208, -207, -207, -207, 
##     -209, -221, -220, -222, -224, -225, -222, -227, -225, -223, 
##     -224, -228, -226, -224, -221, -215, -211, -209, -206, -206, 
##     -202, -188, -187, -187, -181, -168, -164, -169, -176, -181, 
##     -200, -194, -197, -194, -175, -173, -179, -169, -172, -175, 
##     -171, -174, -178, -181, -184, -190, -186, -184, -175, -186, 
##     -184, -176, -169, -184, -190, -174, -183, -187, -189, -193, 
##     -191, -183, -189, -192, -184, -175, -183, -171, -198, -195, 
##     -196, -192, -205, -219, -213, -209, -213, -207, -205, -206, 
##     -209, -206, -208, -208, -211, -212, -207, -207, -209, -212, 
##     -211, -209, -201, -202, -204, -202, -189, -197, -198, -183, 
##     -187, -168, -176, -180, -181, -183, -186, -188, -202, -202, 
##     -189, -184, -176, -183, -175, -171, -176, -173, -159, -158, 
##     -163, -167, -149, -156, -152, -156, -150, -152, -155, -155, 
##     -147, -155, -162, -164, -169, -179, -198, -211, -199, -202, 
##     -189, -183, -177, -193, -216, -214, -209, -194, -192, -187, 
##     -183, -189, -199, -203, -203, -187, -178, -174, -177, -178, 
##     -176, -173, -201, -209, -218, -173, -184, -191, -195, -186, 
##     -168, -157, -159, -165, -167, -163, -163, -145, -149, -145, 
##     -171, -175, -167, -187, -196, -190, -199, -215, -209, -188, 
##     -178, -172, -171, -176, -209, -223, -210, -196, -187, -181, 
##     -169, -157, -157, -162, -175, -181, -178, -177, -178, -176, 
##     -160, -160, -167, -164, -173, -179, -188, -198, -207, -226, 
##     -247, -189, -155, -157, -181, -203, -196, -179, -159, -160, 
##     -158, -158, -153, -170, -162, -182, -174, -176, -173, -200, 
##     -214, -176, -159, -147, -164, -180, -203, -204, -183, -175, 
##     -160, -175, -168, -173, -151, -163, -173, -201, -180, -183, 
##     -192, -187, -195, -212, -209, -213, -213, -219, -233, -235, 
##     -233, -223, -218, -217, -211, -211, -211, -212, -213, -211, 
##     -205, -200, -198, -197, -200, -197, -173, -170, -165, -174, 
##     -173, -171, -169, -166, -166, -168, -158, -196, -226, -226, 
##     -217, -192, -172, -162, -171, -178, -189, -176, -163, -157, 
##     -167, -167, -160, -182, -185, -168, -154, -142, -150, -163, 
##     -159, -159, -161, -167, -184, -204, -204, -209, -211, -206, 
##     -207, -210, -205, -200, -201, -203, -208, -205, -220, -227, 
##     -222, -196, -181, -191, -201, -204, -203, -198, -194, -195, 
##     -185, -176, -170, -170, -177, -163, -169, -180, -217, -226, 
##     -229, -217, -206, -188, -165, -152, -181, -191, -184, -175, 
##     -162, -177, -157, -173, -166, -163, -155, -155, -165, -169, 
##     -167, -173, -182, -193, -208, -218, -222, -216, -216, -214, 
##     -209, -212, -215, -217, -213, -213, -216, -218, -218, -221, 
##     -207, -192, -173, -180, -186, -205, -216, -183, -178, -168, 
##     -178, -181, -178, -190, -198, -211, -230, -184, -157, -173, 
##     -185, -196, -203, -179, -177, -201, -195, -196, -198, -198, 
##     -199, -200, -204, -201, -197, -198, -200, -198, -196, -195, 
##     -197, -201, -201, -204, -204, -202, -200, -197, -200, -205, 
##     -206, -196, -200, -203, -203, -200, -199, -195, -195, -203, 
##     -203, -205, -203, -199, -197, -196, -195, -195, -207, -204, 
##     -196, -196, -202, -199, -191, -192, -192, -198, -205, -205, 
##     -204, -202, -201, -199, -203, -192, -194, -196, -202, -201, 
##     -206, -200, -199, -198, -200, -201, -200, -202, -197, -196, 
##     -200, -200, -201, -197, -198, -198, -200, -201, -199, -199, 
##     -198, -200, -200, -197, -197, -202, -202, -199, -198, -203, 
##     -198, -200, -200, -200, -198, -196, -196, -197, -202, -201, 
##     -199, -200, -202, -201, -199, -199, -200, -199, -200, -200, 
##     -199, -199, -198, -202, -205, -203, -197, -196, -199, -198, 
##     -200, -196, -196, -200, -202, -200, -202, -202, -199, -198, 
##     -200, -199, -198, -200, -200, -199, -200, -199, -202, -201, 
##     -197, -198, -200, -202, -200, -201, -197, -198, -199, -199, 
##     -201, -200, -201, -202, -199, -197, -199, -201, -200, -200, 
##     -200, -201, -201, -204, -205, -203, -200, -197, -195, -203, 
##     -203, -203, -200, -201, -203, -202, -202, -205, -203, -203, 
##     -205, -204, -204, -202, -201, -199, -196, -195, -195, -203, 
##     -202, -195, -208, -205, -206, -202, -199, -198, -200, -202, 
##     -205, -204, -204, -203, -202, -203, -206, -205, -198, -194, 
##     -195, -201, -209, -211, -210, -206, -203, -204, -201, -200, 
##     -200, -196, -206, -206, -203, -201, -201, -203, -206, -203, 
##     -202, -202, -203, -203, -202, -202, -197, -201, -202, -202, 
##     -201, -203, -204, -205, -198, -199, -203, -202, -201, -202, 
##     -200, -199, -193, -200, -203, -203, -210, -209, -206, -197, 
##     -195, -198, -202, -202, -204, -206, -202, -200, -199, -200, 
##     -203, -202, -202, -196, -199, -199, -202, -203, -204, -203, 
##     -203, -205, -205, -201, -202, -202, -203, -205, -205, -204, 
##     -204, -203, -203, -206, -204, -202, -203, -202, -201, -201, 
##     -206, -204, -203, -205, -204, -205, -204, -205, -204, -204, 
##     -201, -197, -200, -204, -201, -204, -205, -204, -204, -203, 
##     -205, -207, -194, -176, -171, -164, -146, -140, -142, -140, 
##     -129, -130, -137, -146, -156, -158, -171, -157, -155, -162, 
##     -168, -161, -159, -173, -177, -176, -155, -182, -191, -204, 
##     -177, -178, -184, -178, -172, -156, -153, -124, -151, -159, 
##     -172, -139, -155, -171, -149, -147, -158, -151, -155, -149, 
##     -145, -159, -164, -170, -160, -142, -139, -132, -127, -132, 
##     -131, -123, -113, -135, -143, -147, -145, -159, -162, -173, 
##     -177, -173, -177, -177, -168, -170, -200, -190, -186, -181, 
##     -183, -187, -184, -179, -170, -157, -155, -158, -108, -162, 
##     -104, -141, -148, -152, -139, -121, -104, -110, -117, -127, 
##     -128, -125, -121, -117, -107, -87, -87, -99, -114, -132, 
##     -137, -145, -147, -153, -168, -169, -185, -193, -189, -191, 
##     -183, -173, -164, -173, -176, -169, -170, -168, -160, -153, 
##     -153, -165, -147, -127, -138, -125, -116, -116, -111, -116, 
##     -122, -130, -137, -144, -151, -140, -116, -103, -107, -115, 
##     -122, -132, -137, -141, -156, -159, -162, -172, -171, -185, 
##     -190, -200, -193, -188, -186, -186, -192, -188, -180, -178, 
##     -183, -178, -165, -182, -182, -170, -178, -153, -182, -152, 
##     -170, -152, -155, -150, -142, -159, -140, -129, -126, -117, 
##     -145, -147, -146, -133, -131, -123, -119, -125, -132, -147, 
##     -148, -171, -164, -176, -192, -202, -233, -207, -205, -204, 
##     -196, -187, -190, -198, -210, -178, -147, -158, -157, -188, 
##     -173, -152, -125, -145, -142, -138, -142, -138, -135, -152, 
##     -146, -141, -142, -141, -142, -147, -137, -136, -137, -143, 
##     -142, -143, -156, -154, -162, -163, -169, -159, -180, -187, 
##     -206, -212, -207, -202, -187, -175, -191, -181, -183, -195, 
##     -180, -138, -141, -153, -135, -135, -166, -173, -167, -179, 
##     -178, -159, -146, -107, -117, -139, -156, -168, -171, -165, 
##     -162, -160, -154, -144, -143, -142, -135, -147, -148, -154, 
##     -151, -157, -160, -159, -161, -161, -159, -155, -151, -164, 
##     -168, -156, -186, -201, -200, -196, -189, -174, -182, -171, 
##     -158, -122, -123, -148, -155, -130, -145, -145, -147, -143, 
##     -162, -169, -178, -178, -180, -179, -173, -164, -148, -133, 
##     -125, -117, -135, -135, -133, -133, -145, -139, -157, -157, 
##     -161, -175, -179, -174, -180, -193, -208, -204, -190, -184, 
##     -192, -181, -177, -172, -167, -147, -131, -142, -121, -115, 
##     -179, -184, -160, -163, -165, -153, -146, -128, -123, -123, 
##     -134, -162, -157, -152, -149, -142, -134, -129, -124, -127, 
##     -123, -135, -137, -147, -155, -152, -167, -163, -159, -169, 
##     -200, -198, -209, -228, -182, -177, -189, -193, -181, -144, 
##     -146, -156, -138, -106, -114, -135, -128, -132, -164, -173, 
##     -163, -174, -102, -107, -125, -161, -149, -142, -143, -147, 
##     -130, -122, -121, -119, -170, -175, -183, -176, -197, -203, 
##     -201, -171, -163, -165, -179, -200, -190, -160, -148, -129, 
##     -156, -123, -125, -100, -119, -115, 226, 219, 220, 210, 207, 
##     209, 209, 205, 206, 213, 211, 214, 215, 216, 214, 215, 214, 
##     214, 212, 212, 211, 210, 210, 214, 214, 216, 217, 218, 216, 
##     213, 216, 214, 212, 215, 214, 214, 214, 216, 214, 216, 216, 
##     214, 214, 214, 212, 215, 213, 214, 213, 214, 214, 213, 212, 
##     212, -13, -8, -6, -17, -23, -24, -4, 12, 3, 6, 17, 23, 41, 
##     32, 33, -12, -17, -19, -22, -25, -28, -25, -26, -27, -34, 
##     -37, -33, -32, -33, -38, -37, -37, -33, -24, -22, -17, -17, 
##     -17, 29, 38, 32, 32, 31, 28, 23, 10, 13, 10, 7, 16, 23, 35, 
##     31, 35, 48, 59, 53, 28, 16, 17, 20, 18, 22, 23, 9, 17, 16, 
##     17, 14, 29, 33, 14, 14, 8, -6, 21, 8, -9, -7, -10, -18, -21, 
##     9, 16, -1, -2, -3, -3, -5, -1, 0, 3, 5, 3, 6, 0, -8, -12, 
##     -7, -7, -41, -52, -66, -59, -50, -48, -46, -56, -57, -57, 
##     -53, -55, -60, -61, -60, -61, -63, -65, -67, -59, -62, -29, 
##     -38, -42, -46, -46, -48, -56, -63, -82, -86, -81, -67, -39, 
##     -12, -11, -30, -38, -46, -59, -63, -64, -67, -68, -61, -55, 
##     -58, -58, -61, -59, -59, -54, -52, -52, -51, -56, -57, -49, 
##     -9, -8, -10, -8, -10, -9, -9, -8, -7, -7, -6, -7, -8, -7, 
##     -7, -7, -7, -9, -7, -7, -6, -8, -8, -9, -7, -4, -5, -5, -5, 
##     -6, -3, -3, -3, -2, -3, -2, -4, -3, -2, -2, -4, -3, -4, -7, 
##     -10, -8, -5, -6, -10, -10, -12, -14, -12, -6, -7, -8, -10, 
##     -10, -8, -10, -8, -8, -7, -6, -7, -6, -6, -6, -4, -10, -7, 
##     -7, -3, -5, -5, -5, -7, -5, -8, -6, -4, -6, -4, -8, -8, -5, 
##     -9, -8, -11, -8, -8, -10, -10, -11, -10, -7, -9, -8, -6, 
##     -7, 1, -3, -7, -9, -12, -13, -15, -13, -10, -7, -4, -5, -6, 
##     -6, -8, -8, -13, -13, -9, -10, -7, -7, -6, -5, -9, -9, -11, 
##     -11, -14, -13, -13, -10, -10, -11, -8, -9, -6, -7, -10, -6, 
##     -3, -10, -14, -12, -10, -8, -7, -5, -5, -7, -7, -8, -9, -10, 
##     -5, -5, -6, -7, -10, -8, -6, -6, -6, -6, -6, -7, -7, -7, 
##     -5, -7, -6, -6, -7, -5, 4, 2, -1, -4, -7, -8, -6, 5, 43, 
##     52, 48, 40, 36, 26, 19, 14, 11, 5, 1, -6, -6, 8, 13, 19, 
##     22, 6, -1, -5, -4, -3, -1, 11, 14, 11, 7, 4, 1, 0, -4, -3, 
##     -5, 1, 1, 5, 7, 7, 7, 7, 4, 1, 1, 3, 2, 3, 5, 2, 2, 3, 1, 
##     3, -1, -2, 1, -1, 2, 2, 8, 8, 7, 7, 13, 10, 8, 7, 1, -4, 
##     -5, -9, -9, -7, -5, -9, -16, -24, -22, -23, -22, -21, -21, 
##     -19, -17, -14, -7, -6, 10, 8, 10, 9, 15, 5, -2, -6, -12, 
##     -15, -6, -9, -7, -7, -4, -5, -4, -12, -6, 16, 12, 1, -4, 
##     -9, -2, 0, -1, -3, -6, -8, -6, -4, -3, -3, -4, -2, 0, 0, 
##     -1, -2, 6, 8, 9, 10, 7, 3, 2, 5, 9, 11, 10, 5, 2, 2, 1, 2, 
##     12, 22, 31, 30, 30, 40, 30, 27, 15, 7, -11, 9, 21, 35, 43, 
##     47, 38, 5, -6, 16, 16, 9, 8, 9, 12, 13, 21, 30, 25, 40, 25, 
##     42, 48, 32, 69, 52, 47, 33, 40, 45, 46, 42, 35, 25, 20, 15, 
##     10, 4, 5, 15, 44, 73, 85, 75, 61, 42, 32, 29, 43, 53, 64, 
##     66, 75, 84, 78, 43, 23, 18, 17, 4, 8, 9, 15, 19, 23, 26, 
##     30, 30, 40, 42, 37, 47, 38, 51, 81, 66, 80, 80, 54, 54, 59, 
##     61, 69, 75, 73, 65, 31, 25, 32, 38, 47, 53, 56, 59, 41, 15, 
##     14, 28, 21, 15, 19, 15, 10, 16, 24, 20, 30, 32, 36, 71, 55, 
##     41, 56, 77, 85, 79, 57, 54, 62, 56, 51, 25, 28, 35, 60, 57, 
##     50, 50, 51, 55, 64, 64, 44, 16, 17, 16, 21, 24, 24, 3, -10, 
##     -25, -3, 21, 29, 27, 34, 50, 51, 53, 59, 55, 55, 53, 53, 
##     53, 60, 60, 62, 67, 66, 54, 49, 39, 55, 28, 9, 9, 13, -4, 
##     -9, -12, -12, -9, -5, -2, -2, -4, 9, 14, 13, 26, 31, 84, 
##     82, 76, 68, 58, 57, 69, 55, 57, 53, 50, 84, 21, 13, 12, 13, 
##     13, 13, 12, 22, 37, 38, 38, 35, 58, 53, 67, 66, 59, 69, 65, 
##     65, 68, 75, 63, 53, 10, 33, 34, 29, 14, 5, -9, 15, 16, 7, 
##     8, 9, 2, 0, 12, 12, 14, 15, 35, 62, 74, 74, 69, 64, 57, 47, 
##     47, 52, 40, 38, 60, 48, 53, 68, 78, 56, 46, 39, 22, 16, 18, 
##     21, 19, -12, -8, 9, 11, 23, 27, 34, 51, 65, 68, 64, 81, 81, 
##     63, 53, 54, 54, 48, 43, 55, 52, 43, 49, 35, 3, 5, 2, 0, -1, 
##     -2, -1, -1, 21, 52, 35, -42, -36, -30, -16, -2, -4, 0, 0, 
##     1, 35, 69, 70, 68, 57, 46, 65, 71, 71, 74, 77, 60, 56, 42, 
##     33, 28, 44, 56, 61, 71, 66, 37, 20, 9, 8, 5, 0, -2, 2, 2, 
##     -5, -10, -7, 10, 11, 11, 16, 21, 17, 35, 43, 39, 46, 59, 
##     76, 49, 99, 46, 42, 55, 74, 71, 51, 40, -10, -1, 15, 39, 
##     15, 10, 16, 37, 50, 46, 45, 43, 42, 35, 27, 33, 31, 21, 10, 
##     11, 19, 21, 17, 10, 7, -6, -16, -21, -21, -15, -12, -4, 2, 
##     7, 5, 15, 15, 25, 41, 49, 56, 60, 68, 68, 62, 61, 82, 77, 
##     96, 89, 75, 34, 38, 51, 46, 30, 37, 35, 39, 55, 45, 32, 23, 
##     19, 27, 25, 13, 5, 2, -5, -6, -4, -7, -10, -22, -24, -24, 
##     -20, -24, -27, -34, -27, -26, -30, -29, -28, -18, -17, -19, 
##     -18, -9, 3, 1, -7, -16, -17, -25, -23, -25, -14, -8, -7, 
##     13, 21, 9, 12, 18, 24, 25, 32, 31, 27, 31, 21, 24, 29, 33, 
##     35, 32, 29, 30, 29, 27, 26, 24, 23, 23, 21, 15, 14, 17, 26, 
##     34, 29, 39, 22, 27, 42, 41, 36, 49, 30, 29, 16, 52, 53, 31, 
##     25, 20, 24, 28, 34, 34, 15, 11, 16, 20, 21, 12, 11, 12, 10, 
##     9, 9, 6, -20, -27, -32, -32, -23, 14, 23, 27, 11, 7, 1, 14, 
##     4, 2, -2, -3, -13, 8, 12, 11, 12, 12, 11, 10, 2, 2, 1, 3, 
##     8, 8, 8, 17, 14, 17, 19, 23, 26, 38, 32, 32, 35, -19, -15, 
##     -14, -11, -5, -1, 0, -2, -4, -4, 0, -5, 1, 9, 0, -1, -3, 
##     -7, -8, -7, -5, 1, 0, -7, -8, -9, -10, -11, -9, -13, -10, 
##     -6, -8, -6, -6, -8, -1, 4, 7, 9, 8, 7, 7, 10, -6, -8, -10, 
##     -9, -9, -8, -2, -4, -9, -13, -9, -3, 9, 13, 17, 17, 15, -4, 
##     -4, -3, -2, -3, -4, -2, -3, 1, 6, -9, -3, -6, -5, 1, -4, 
##     -5, -3, -204, -204, -204, -200, -202, -200, -203, -202, -203, 
##     -200, -201, -200, -203, -202, -204, -203, -201, -204, -202, 
##     -200, -201, -196, -196, -205, -203, -202, -202, -201, -200, 
##     -194, -195, -198, -191, -185, -184, -190, -198, -191, -194, 
##     -199, -202, -212, -215, -222, -233, -228, -222, -206, -200, 
##     -195, -192, -186, 167, 169, 170, 163, 183, 168, 160, 166, 
##     170, 183, 181, 189, 205, 211, 177, 174, 174, 176, 177, 179, 
##     171, 152, 145, 149, 149, 150, 145, 150, 151, 155, 158, 156, 
##     150, 151, 150, 146, 162, 161, 146, 175, 175, 176, 176, 185, 
##     189, 193, 196, 196, 194, 196, 198, 194, 189, 182, 177, 176, 
##     176, 168, 167, 179, 181, 158, 175, 181, 177, 180, 181, 190, 
##     196, 162, 176, 198, 225, 227, 224, 221, 214, 210, 205, 203, 
##     206, 200, 199, 196, 200, 203, 201, 198, 167, 175, 192, 179, 
##     158, 177, 163, 160, 178, 166, 160, 171, 165, 166, 166, 177, 
##     174, 170, 179, 188, 198, 196, 200, 197, 195, 213, 212, 213, 
##     211, 212, 211, 213, 213, 211, 213, 211, 212, 212, 210, 215, 
##     212, 216, 211, 213, 211, 214, 211, 216, 213, 214, 215, 202, 
##     209, 241, 240, 243, 244, 234, -338, 217, 204, 199, 198, 160, 
##     164, 180, 195, 213, 222, 231, 231, 222, 217, 216, 213, 211, 
##     210, 209, 209, 209, 211, 214, 214, 214, 215, 215, 215, 213, 
##     214, 208, 202, 197, 190, 190, 193, 184, 187, 187, 192, 213, 
##     215, 216, 216, 215, 214, 213, 213, 213, 212, 212, 207, 210, 
##     210, 209, 212, 210, 210, 211, 213, 212, 213, 211, 210, -165, 
##     -148, -173, -175, -182, -174, -181, -185, -182, -183, -187, 
##     -182, -185, -180, -179, -173, -175, -174, -170, -165, -164, 
##     -166, -171, -169, -177, -175, -218, -185, -163, -146, -139, 
##     -143, -154, -165, -143, -148, -143, -148, -137, -142, -173, 
##     -162, -214, -176, -165, -148, -137, -122, -143, -114, -114, 
##     -120, -123, -145, -149, -160, -149, -144, -155, -151, -151, 
##     -155, -169, -176, -167, -177, -197, -199, -215, -231, -213, 
##     -208, -193, -184, -174, -154, -145, -125, -125, -137, -136, 
##     -190, -183, -182, -181, -183, -179, -180, -180, -182, -179, 
##     -180, -179, -174, -171, -167, -165, -161, -159, -160, -159, 
##     -156, -155, -156, -147, -145, -153, -150, -151, -156, -196, 
##     -197, -204, -206, -244, -229, -211, -197, -171, -186, -214, 
##     -220, -218, -216, -211, -208, -200, -192, -190, -189, -191, 
##     -191, -193, -192, -183, -181, -184, -200, -195, -189, -180, 
##     -173, -171, -173, -173, -175, -176, -168, -166, -169, -171, 
##     -169, -146, -156, -158, -165, -140, -142, -142, -144, -139, 
##     -157, -154, -166, -174, -187, -207, -225, -232, -221, -194, 
##     -199, -194, -162, -160, -129, -104, -118, -95, -103, -105, 
##     -121, -155, -149, -145, -142, -136, -160, -168, -178, -175, 
##     -169, -166, -162, -164, -166, -161, -156, -155, -153, -156, 
##     -150, -148, -147, -145, -147, -166, -167, -169, -168, -163, 
##     -153, -164, -181, -189, -185, -210, -238, -224, -215, -216, 
##     -212, -204, -192, -155, -143, -174, -179, -182, -182, -169, 
##     -171, -172, -172, -170, -170, -168, -170, -169, -167, -170, 
##     -173, -170, -170, -172, -172, -169, -167, -169, -171, -171, 
##     -171, -167, -169, -166, -163, -166, -155, -151, -145, -138, 
##     -138, -135, -133, -126, -137, -134, -139, -136, -137, -143, 
##     -144, -149, -153, -138, -144, -151, -167, -192, -189, -181, 
##     -206, -258, -242, -235, -216, -204, -205, -121, -125, -93, 
##     -92, -78, -94, -117, -112, -117, -125, -154, -162, -160, 
##     -142, -161, -167, -170, -177, -176, -168, -167, -164, -158, 
##     -153, -137, -134, -134, -138, -140, -142, -152, -167, -165, 
##     -167, -216, -234, -264, -261, -229, -226, -202, -185, -179, 
##     -174, -168, -163, -149, -119, -116, -109, -94, -99, -106, 
##     -115, -97, -93, -113, -108, -143, -145, -154, -146, -159, 
##     -145, -160, -177, -181, -165, -162, -153, -154, -137, -132, 
##     -115, -125, -129, -147, -149, -154, -154, -144, -160, -157, 
##     -165, -177, -183, -206, -255, -283, -292, -276, -256, -240, 
##     -244, -232, -227, -180, -182, -168, -108, -125, -113, -143, 
##     -144, -132, -107, -108, -166, -157, -140, -168, -177, -170, 
##     -175, -195, -215, -255, -253, -235, -219, -199, -187, -185, 
##     -163, -150, -118, -131, -145, -118, -107, -122, -139, -141, 
##     -139, -135, -176, -189, -163, -152, -146, -146, -151, -154, 
##     -147, -140, -138, -137, -143, -147, -150, -156, -143, -142, 
##     -136, -134, -159, -166, -184, -199, -203, -251, -271, -257, 
##     -240, -234, -249, -241, -229, -224, -221, -202, -137, -111, 
##     -64, -78, -76, -86, -36, -113, -118, -149, -161, -179, -185, 
##     -184, -179, -172, -171, -168, -166, -159, -151, -150, -98, 
##     -99, -122, -130, -134, -129, -166, -152, -161, -175, -194, 
##     -266, -275, -239, -141, -123, -91, -122, -118, -117, -140, 
##     -136, -120, -121, -123, -144, -165, -187, -204, -203, -253, 
##     -294, -314, -270, -210, -204, -189, -194, -195, -172, -155, 
##     -154, -82, -109, -112, -118, -133, -132, -109, -136, -146, 
##     -168, -161, -168, -143, -137, -143, -156, -180, -180, -170, 
##     -177, -178, -179, -184, -174, -147, -145, -139, -134, -146, 
##     -145, -137, -140, -141, -140, -137, -144, -151, -165, -189, 
##     -200, -277, -292, -300, -296, -262, -261, -234, -212, -210, 
##     -184, -160, -123, -110, -102, -101, -102, -124, -108, -98, 
##     -108, -123, -182, 205, 210, 210, 210, 212, 212, 208, 209, 
##     211, 214, 211, 210, 215, 221, 227, 215, 206, 207, 207, 210, 
##     211, 211, 210, 207, 204, 196, 195, 192, 191, 193, 190, 189, 
##     187, 185, 192, 186, 185, 182, 173, 170, 167, 185, 180, 180, 
##     178, 180, 183, 172, 174, 175, 174, 168, 170, 156, 154, 172, 
##     165, 153, 163, 184, 173, 193, 203, 198, 171, 173, 167, 147, 
##     134, 141, 148, 126, 133, 132, 129, 123, 125, 135, 133, 144, 
##     150, 162, 174, 176, 177, 180, 182, 200, 198, 208, 211, 202, 
##     206, 200, 199, 202, 194, 190, 195, 192, 188, 179, 176, 175, 
##     162, 159, 157, 162, 163, 167, 171, 174, 172, 178, 182, 182, 
##     180, 184, 190, 192, 201, 206, 217, 178, 187, 187, 195, 199, 
##     203, 206, 197, 198, 202, 202, 199, 200, 198, 202, 207, 205, 
##     205, 207, 206, 188, 167, 163, 165, 156, 152, 159, 164, 169, 
##     167, 166, 166, 171, 166, 163, 162, 168, 163, 162, 167, 170, 
##     172, 172, 177, 180, 179, 184, 194, 194, 190, 196, 207, 221, 
##     218, 211, 209, 207, 201, 195, 191, 169, 163, 151, 146, 149, 
##     135, 128, 125, 125, 132, 151, 163, 172, 180, 180, 181, 183, 
##     190, 197, 198, 197, 203, 201, 197, 196, 195, 170, 172, 173, 
##     174, 175, 175, 177, 186, 195, 200, 210, 218, 217, 211, 217, 
##     211, 202, 209, 196, 177, 169, 165, 150, 142, 141, 138, 137, 
##     138, 158, 158, 172, 186, 194, 201, 202, 199, 196, 194, 199, 
##     206, 209, 219, 218, 215, 210, 202, 208, 207, 202, 197, 191, 
##     173, 167, 165, 156, 160, 161, 159, 163, 158, 160, 162, 162, 
##     157, 167, 167, 172, 182, 183, 200, 215, 225, 232, 251, 227, 
##     222, 223, 210, 191, 203, 170, 139, 145, 133, 131, 115, 118, 
##     144, 156, 150, 180, 186, 187, 188, 183, 193, 195, 194, 196, 
##     203, 206, 214, 211, 211, 214, 215, 218, 214, 176, 171, 163, 
##     157, 164, 160, 166, 158, 156, 160, 162, 169, 180, 201, 209, 
##     211, 225, 232, 252, 269, 236, 242, 244, 232, 215, 218, 225, 
##     195, 189, 203, 180, 183, 171, 176, 167, 153, 141, 139, 150, 
##     134, 137, 151, 162, 170, 171, 165, 175, 183, 191, 190, 190, 
##     197, 200, 209, 215, 208, 239, 235, 241, 231, 212, 217, 196, 
##     191, 189, 182, 167, 163, 162, 154, 157, 133, 129, 140, 127, 
##     134, 144, 186, 182, 194, 199, 202, 206, 203, 199, 223, 226, 
##     229, 226, 228, 206, 199, 173, 177, 164, 157, 158, 159, 165, 
##     184, 176, 177, 174, 177, 180, 181, 184, 187, 189, 204, 205, 
##     206, 239, 240, 233, 233, 238, 234, 228, 203, 184, 188, 152, 
##     152, 167, 165, 149, 156, 154, 135, 137, 152, -183, -167, 
##     -174, -176, -179, -145, -160, -156, -181, -189, -181, -183, 
##     -208, -211, -218, -222, -213, -213, -217, -215, -211, -213, 
##     -208, -207, -203, -205, -204, -220, -225, -226, -214, -198, 
##     -207, -203, -205, -205, -201, -196, -169, -169, -171, -167, 
##     -212, -230, -231, -224, -175, -185, -196, -208, -183, -168, 
##     -173, -170, -180, -159, -179, -178, -192, -195, -200, -215, 
##     -215, -201, -205, -217, -218, -221, -219, -231, -227, -221, 
##     -234, -243, -245, -240, -233, -226, -221, -203, -217, -224, 
##     -228, -219, -205, -203, -193, -170, -205, -204, -201, -196, 
##     -220, -214, -174, -148, -156, -172, -179, -186, -187, -187, 
##     -171, -170, -168, -162, -155, -152, -166, -162, -164, -181, 
##     -193, -189, -235, -233, -233, -235, -237, -238, -237, -238, 
##     -237, -237, -236, -236, -235, -233, -237, -236, -235, -237, 
##     -233, -236, -230, -230, -237, -235, -234, -233, -234, -233, 
##     -233, -234, -233, -234, -233, -236, -234, -236, -236, -235, 
##     -235, -234, -233, -227, -223, -222, -219, -211, -207, -210, 
##     -200, -202, -196, -190, -175, -151, -140, -147, -147, -141, 
##     -144, -157, -168, -171, -171, -163, -161, -177, -178, -170, 
##     -187, -207, -234, -210, -202, -205, -207, -217, -223, -227, 
##     -222, -219, -212, -202, -207, -210, -210, -207, -196, -202, 
##     -209, -199, -197, -203, -218, -229, -247, -259, -242, -229, 
##     -224, -225, -210, -214, -219, -215, -224, -201, -179, -170, 
##     -157, -161, -149, -145, -149, -146, -133, -136, -156, -195, 
##     -205, -208, -205, -204, -205, -200, -196, -195, -204, -206, 
##     -209, -210, -207, -194, -187, -186, -186, -189, -192, -183, 
##     -182, -198, -210, -209, -212, -208, -204, -142, -168, -172, 
##     -183, -185, -184, -199, -197, -199, -204, -200, -202, -196, 
##     -194, -187, -188, -182, -182, -180, -180, -186, -191, -194, 
##     -193, -186, -191, -187, -198, -196, -203, -204, -221, -225, 
##     -231, -267, -271, -276, -275, -259, -253, -232, -232, -231, 
##     -231, -231, -227, -219, -214, -198, -175, -192, -200, -211, 
##     -204, -185, -188, -197, -197, -203, -198, -197, -205, -210, 
##     -256, -270, -217, -221, -225, -224, -225, -181, -169, -149, 
##     -140, -142, -137, -124, -141, -151, -148, -143, -148, -160, 
##     -168, -190, -204, -199, -195, -199, -196, -204, -201, -204, 
##     -188, -189, -201, -204, -199, -200, -200, -197, -204, -220, 
##     -225, -239, -260, -260, -260, -190, -189, -189, -193, -195, 
##     -192, -193, -190, -182, -175, -167, -160, -154, -167, -175, 
##     -189, -194, -204, -204, -196, -183, -190, -203, -198, -202, 
##     -207, -207, -213, -145, -136, -142, -151, -167, -163, -152, 
##     -153, -162, -169, -163, -178, -176, -173, -176, -170, -165, 
##     -158, -146, -148, -152, -153, -148, -188, -188, -186, -184, 
##     -178, -187, -187, -202, -208, -228, -234, -242, -260, -263, 
##     -261, -262, -256, -253, -253, -255, -243, -242, -232, -217, 
##     -213, -198, -201, -176, -155, -151, -173, -178, -171, -147, 
##     -153, -157, -160, -164, -186, -185, -199, -199, -209, -207, 
##     -208, -209, -211, -214, -203, -206, -203, -213, -208, -222, 
##     -216, -216, -156, -158, -154, -150, -141, -126, -147, -144, 
##     -137, -135, -142, -146, -150, -157, -168, -175, -179, -193, 
##     -189, -184, -187, -186, -185, -181, -172, -170, -157, -154, 
##     -156, -158, -162, -163, -166, -169, -165, -166, -168, -167, 
##     -169, -170, -163, -151, -142, -95, -110, -103, -116, -148, 
##     -164, -171, -183, -208, -225, -233, -224, -246, -274, -279, 
##     -269, -253, -231, -234, -250, -167, -125, -86, -76, -94, 
##     -69, -77, -97, -93, -89, -104, -123, -132, -134, -127, -116, 
##     -101, -88, -93, -101, -125, -106, -120, -164, -187, -194, 
##     -210, -209, -247, -267, -266, -261, -257, -250, -242, -244, 
##     -243, -196, -98, -92, -86, -105, -125, -168, -187, -196, 
##     -218, -255, -267, -266, -249, -241, -232, -223, -226, -233, 
##     -213, -166, -150, -134, -121, -110, -100, -104, -81, -92, 
##     -115, -99, -82, -79, -77, -115, -115, -121, -115, -112, -111, 
##     -112, -104, -193, -212, -208, -180, -197, -208, -223, -252, 
##     -272, -252, -238, -231, -231, -234, -235, -237, -234, -207, 
##     -187, -165, -126, -120, -66, -75, -104, -95, -97, -115, -90, 
##     -88, -94, -94, -110, -118, -108, -63, -69, -77, -90, -100, 
##     -114, -177, -179, -233, -239, -280, -282, -274, -267, -259, 
##     -226, -211, -199, -137, -119, -121, -136, -128, -102, -113, 
##     -115, -79, -112, -118, -119, -138, -118, -143, -126, -110, 
##     -97, -91, -96, -105, -75, -73, -72, -96, -102, -101, -97, 
##     -92, -98, -96, -123, -133, -175, -238, -244, -263, -275, 
##     -269, -264, -254, -236, -198, -162, -154, -159, -69, -112, 
##     -64, -102, -84, -93, -83, -91, -112, -130, -136, -137, -103, 
##     -98, -98, -157, -193, -204, -217, -227, -228, -247, -270, 
##     -270, -261, -235, -236, -250, -232, -197, -177, -139, -137, 
##     -159, -132, -109, -96, -100, -104, -147, -142, -112, -109, 
##     -105, -100, -120, -131, -154, -152, -120, -87, -79, -79, 
##     -86, -96, -116, -119, -146, -170, -190, -208, -224, -231, 
##     -233, -246, -244, -242, -252, -264, -266, -272, -261, -237, 
##     -213, -200, -209, -216, -152, -95, -134, -120, -121, -124, 
##     -116, -96, -104, -114, -118, -149, -152, -153, -141, -112, 
##     -107, -95, -87, -110, -115, -135, -143, -137, -131, -141, 
##     -156, -160, -169, -165, -168, -177, -178, -184, -185, -188, 
##     -186, -184, -187, -183, -183, -185, 42, 46, 45, 46, 38, 42, 
##     44, 41, 48, 44, 35, 25, 23, 25, 30, 31, 23, 26, 50, -22, 
##     -22, -25, -25, -25, -25, -26, -22, -23, -21, -27, -26, -23, 
##     -22, -24, -24, -24, -23, -27, -29, -29, -28, -34, -36, -37, 
##     -37, -33, -32, -33, -32, -32, -34, -37, -35, -31, -33, -37, 
##     -40, -42, -44, -49, -60, -64, -66, -69, -69, -67, -63, -57, 
##     -54, -52, -54, -52, -49, -20, -17, -18, -23, -18, -24, -28, 
##     -34, -38, 3, 8, 2, 3, 16, 24, 24, 32, 25, 8, 12, 1, -4, -16, 
##     -13, -17, -18, -13, -9, -3, 0, 10, 14, 11, 6, -3, -7, 1, 
##     2, -1, 11, 27, 47, 26, 22, 16, -1, -3, 29, 22, 7, 2, -1, 
##     -6, -3, -9, -19, -20, -22, -17, -16, -8, -20, -24, -25, -25, 
##     -26, -31, -27, -20, -17, -20, 17, 18, 10, -1, -1, -4, -6, 
##     -7, -7, -7, 3, 3, 1, 6, 6, 3, -1, -1, -1, -6, -1, 2, 45, 
##     61, 68, 64, 68, -12, -3, 10, 20, 16, -4, -17, -17, -5, -43, 
##     -22, 3, -4, -10, -7, 1, 13, 27, 26, 31, 34, 27, 23, 23, 16, 
##     9, 1, -1, -16, -20, -27, -22, -22, -20, -16, -13, -15, -13, 
##     -13, -18, -18, -20, -20, -19, -16, -8, 71, 68, 73, 61, 31, 
##     22, 39, 43, 35, 13, 17, 12, -47, -61, -65, -36, -24, -17, 
##     -13, -10, -12, -13, -10, -12, -19, -19, -22, -19, -19, -14, 
##     -9, 11, 22, 19, 24, 24, 12, 0, -1, 0, -20, -31, -19, -7, 
##     -1, -6, -10, -10, -40, -20, 21, 27, 32, 57, 63, 34, 27, 27, 
##     40, 45, 37, 25, 22, 13, 6, 13, 1, 1, -5, -9, -15, -17, -17, 
##     -20, -18, -19, -31, -25, -23, -13, -7, 3, 9, 5, -10, -4, 
##     -9, -13, -20, -25, -30, -31, -30, -35, -31, -29, -30, -29, 
##     -29, -29, -28, -32, -30, -31, -36, -30, -26, -18, -4, 14, 
##     38, 62, 46, 37, 33, 38, 43, 50, 42, 35, 35, 24, 17, 22, 25, 
##     12, 8, 11, 12, 9, 3, 1, -14, -13, -12, -10, -12, -16, -14, 
##     -7, 3, 9, 13, 15, 21, 21, 24, 24, 30, 12, 9, 14, 21, 8, 10, 
##     -6, -11, -3, 7, 5, 6, -3, -10, -9, -9, -6, -3, -5, -8, -23, 
##     -25, -27, -20, -18, -15, -14, -14, -14, -12, -15, -16, -14, 
##     19, 81, 91, 82, 42, 46, 45, 30, 17, 34, 46, 40, 36, 21, 6, 
##     -5, -4, -12, -7, 1, -12, -16, -18, -17, -25, -29, -26, -26, 
##     -25, -25, -17, -16, -13, -15, -7, 0, 5, 10, 10, 5, 7, 5, 
##     2, -11, -14, -9, -6, -3, -6, -21, -33, -38, -24, -18, -16, 
##     3, 11, 7, -5, -3, -10, -4, -5, 7, 8, 9, 10, 7, 5, 2, 4, 3, 
##     4, -2, -5, -4, -3, -9, -11, -17, -16, -15, 15, 11, 46, 41, 
##     42, 37, 53, 48, 35, 33, 31, 40, 8, 18, 20, 13, 4, -8, -11, 
##     -3, -3, -8, -14, -9, -12, -15, -19, -21, -20, -28, -30, -7, 
##     3, 5, 1, 7, -10, -6, -1, -18, -8, -11, -14, -10, -23, -13, 
##     -12, -11, -4, 5, 12, 3, 1, -1, -4, -8, -16, -19, -10, -10, 
##     3, -4, -16, -17, -14, -27, -59, -59, -50, -45, -36, -30, 
##     -38, -41, 55, 51, 31, 32, 29, 48, 52, 55, 40, 35, 18, 21, 
##     19, 7, 5, 2, 1, 3, 1, -4, 0, 2, -1, -3, -9, -13, -19, -22, 
##     -23, -20, -19, -20, -13, -16, -3, -10, -10, -15, -24, 5, 
##     -9, 9, 13, 32, 14, 10, 23, 15, 14, 44, 55, 54, 53, 53, 57, 
##     37, 26, 18, 10, 4, 3, -11, -11, -11, -14, -11, -16, -17, 
##     -15, -15, -17, -19, -20, 18, 24, 15, 20, 17, 29, 30, 22, 
##     32, 37, 32, 26, 38, 50, 33, 48, 39, 58, 49, -1, 2, 2, 0, 
##     -6, -18, -14, -10, -3, 3, 11, 15, 14, 20, 12, 11, 8, -2, 
##     -1, 2, -2, 1, 9, 4, -5, -13, -9, 3, 14, 59, 48, 45, 8, -3, 
##     -1, 5, 7, 10, 16, 16, 13, 4, 5, 8, 13, 21, 29, 26, 26, 20, 
##     15, -31, -23, -23, -15, -16, -40, -28, -23, -14, -15, -10, 
##     -6, 26, 35, 41, 43, 50, 53, 31, 36, 48, 69, 79, 78, 72, 70, 
##     74, 74, 67, 59, 32, 44, 43, 33, 30, 23, 21, 16, 16, 19, 5, 
##     -3, -9, -16, 26, -4, 19, 27, 27, 26, 25, 22, 25, 27, 29, 
##     43, 48, 64, 68, 61, -1, -10, -3, 9, 15, 43, 52, 50, 41, 34, 
##     22, 26, 24, 22, 18, 20, 25, 30, 35, 40, 41, 24, 3, -13, -14, 
##     -14, -9, -3, -6, -4, -5, 12, 12, 17, 20, 25, 33, 42, 40, 
##     39, 50, 47, 54, 54, 49, 39, 52, 58, 50, 64, 57, 70, 59, 46, 
##     42, 32, 60, 54, 43, 40, 30, 28, 24, 23, 14, 13, 9, -2, -4, 
##     -6, -5, -11, -8, -8, -8, -6, -5, -2, -1, -1, -2, -3, -3, 
##     -5, -3, 0, 15, 22, 41, 43, 50, 46, 44, 40, 28, 29, 29, 27, 
##     30, 37, 32, 33, 37, 29, 8, 5, -1, -6, -6, -26, -26, -27, 
##     -28, -31, -16, 15, 15, 19, 22, 32, 49, 43, 53, 50, 42, 67, 
##     56, 51, 52, 56, 47, 22, 6, 4, -18, -14, -13, -17, -18, -37, 
##     -41, -67, -65, -51, -48, -52, -51, -37, -37, -42, -35, -29, 
##     -27, -18, -6, -18, -4, -9, 8, 67, 71, 73, 75, 37, 30, 29, 
##     28, 27, 47, 44, 46, 40, 31, 21, 18, 23, 26, 26, 27, 20, 16, 
##     12, 7, 7, 5, 6, 13, 43, 23, -9, -18, -9, 14, 23, 33, 31, 
##     13, 17, 15, 16, 27, 28, 27, 27, 25, 19, 12, -3, -11, -12, 
##     -11, -16, -27, -11, -3, -14, -31, -38, -35, -24, -24, -20, 
##     -18, -17, 3, 19, 39, 38, 45, 49, 43, 42, 52, 51, 47, 36, 
##     46, 17, 15, 18, 21, 16, 10, 13, 22, 30, 20, 13, 14, 11, 12, 
##     7, 4, 1, -1, -2, -2, 0, 9, 19, 44, 52, 52, 52, 38, 28, 15, 
##     21, 35, 39, 43, 36, 33, 37, 32, 19, 21, 10, 4, 3, -1, -3, 
##     -6, -24, -26, -32, -35, -41, -39, -42, -29, -28, -28, -29, 
##     -24, -19, -10, -7, 10, 20, 30, 31, 22, 16, 19, 35, 40, 49, 
##     65, 57, 53, 31, 34, 58, 51, 46, 46, 41, 35, 33, 18, 46, 50, 
##     31, 9, 7, 8, 17, 13, 11, 12, 12, 12, 7, 4, -5, -8, -9, -31, 
##     -42, -42, -39, -32, -24, -30, -28, -23, -20, -18, -15, -14, 
##     -13, -11, 1, 5, 17, 24, 26, 27, 39, 79, 80, 60, 75, 32, 46, 
##     63, 38, 30, -10, -8, 13, 23, 23, 24, 25, 26, 26, 27, 29, 
##     27, 19, 13, 9, 4, -2, 0, 4, 6, 41, 50, 12, 11, 8, 6, 1, -3, 
##     -62, -20, -18, -23, -26, -27, -28, -14, -13, -5, -6, 0, 4, 
##     28, 25, 25, 31, 37, 34, 31, 57, 52, 64, 79, 62, 41, 32, 48, 
##     26, 24, 28, 31, 25, 12, 28, 14, 15, 19, 18, 14, 12, 14, 16, 
##     22, 24, 29, 38, 49, 65, 76, 81, 77, 69, 65, 63, 59, 56, 48, 
##     46, 43, 47, 52, 10, 5, 1, 4, 6, -10, -15, -17, -39, -48, 
##     -46, -59, -41, -29, -26, -21, -11, -17, -13, -1, 11, 13, 
##     17, 20, 20, 26, 30, 19, 30, 48, 64, 81, 85, 39, 53, 73, 85, 
##     93, 43, 33, 38, 40, 40, 44, 44, 25, 21, 16, 18, 19, 30, 39, 
##     53, 56, 56, 73, 79, 70, 60, 46, 52, 61, 77, 35, 10, -8, -3, 
##     0, 10, 6, 6, -30, -34, -42, -46, -66, -65, -60, -52, -44, 
##     -39, -40, -49, -51, -52, -44, -37, -28, -2, 0, 5, 6, 4, 3, 
##     11, 19, 8, 4, -3, -6, -4, 6, -8, -18, -6, 18, 48, 33, 14, 
##     37, 51, 42, 15, 27, 12, 13, 12, 13, 13, 12, 14, 14, 61, 57, 
##     49, 46, 38, 34, 30, 40, 21, 8, 5, 6, 5, -1, -8, -12, -32, 
##     -39, -41, -40, -37, -37, -31, -28, -14, -13, -6, -4, -6, 
##     -2, -3, -11, -13, -23, -17, -18, -19, -8, -16, -2, -13, 7, 
##     22, 25, 26, 30, 20, 24, 26, 30, 36, 32, 29, 27, 26, 22, 26, 
##     28, 24, 28, 29, 26, 23, 24, 28, 29, 25, 26, 31, 36, 40, 36, 
##     35, 41, 27, 19, 24, 39, 73, 72, 65, 63, 62, 40, 28, 27, 28, 
##     32, 30, 21, 14, -3, -4, -1, 8, 19, 23, 16, 15, 15, 13, 13, 
##     5, 7, 6, 6, 12, 11, 12, 23, 26, 25, 27, 28, 27, 34, 49, 58, 
##     89, 73, 17, 25, 23, 10, 12, 25, 44, 56, 57, 46, 40, 67, 64, 
##     62, 60, 57, 37, 15, 10, 7, 6, 7, 0, -14, -19, -25, -27, -43, 
##     -47, -49, -55, -54, -56, -63, -31, -39, -39, -45, -52, -55, 
##     -53, -45, 11, 5, 2, -1, 39, 44, 50, 14, 13, 5, 18, 20, 16, 
##     16, 2, 11, 6, -2, -14, -30, -175, -173, -174, -175, -175, 
##     -171, -168, -176, -176, -179, -182, -187, -180, -175, -176, 
##     -179, -178, -177, -177, -181, -144, -157, -150, -126, -125, 
##     -113, -102, -67, -129, -138, -145, -156, -189, -193, -188, 
##     -189, -219, -218, -217, -212, -216, -229, -240, -254, -248, 
##     -248, -246, -228, -217, -146, -182, -195, -202, -206, -219, 
##     -221, -233, -239, -283, -290, -291, -251, -249, -245, -237, 
##     -237, -150, -151, -124, -63, -57, -125, -104, -112, -108, 
##     -81, -73, -161, -175, -116, -139, -56, -66, -94, -86, -98, 
##     -97, -91, -80, -69, -79, -85, -90, -107, -103, -97, -94, 
##     -95, -98, -165, -165, -166, -172, -171, -174, -173, -172, 
##     -169, -167, -165, -168, -169, -168, -163, -165, -168, -168, 
##     -165, -168, -168, -169, -170, -168, -167, -168, -169, -168, 
##     -170, -171, 160, 172, 182, 179, 183, 191, 191, 197, 197, 
##     202, 206, 216, 215, 218, 220, 221, 218, 220, 207, 178, 164, 
##     153, 129, 133, 136, 143, 174, 165, 160, 162, 160, 162, 172, 
##     168, 166, 168, 168, 170, 172, 172, 180, 183, 189, 193, 198, 
##     227, 240, 272, 277, 285, 269, 252, 259, 254, 199, 202, 187, 
##     188, 187, 180, 173, 163, 154, 157, 156, 151, 163, 156, 158, 
##     156, 156, 157, 156, 159, 159, 223, 249, 223, 240, 221, 221, 
##     193, 201, 208, 193, 176, 168, 158, 152, 154, 144, 149, 152, 
##     144, 136, 134, 134, 143, 141, 149, 156, 174, 208, 209, 210, 
##     210, 211, 210, 210, 211, 211, 210, 211, 213, 212, 210, 207, 
##     209, 210, 209, 209, 207, 218, 215, 214, 207, 205, 205, 207, 
##     208, 213, 213, 213, 213, 215, 215, 213, 214, 214, 206, 213, 
##     214, 213, -107, -101, -115, -123, -111, -98, -107, -112, 
##     -107, -99, -109, -114, -116, -137, -152, -167, -181, -198, 
##     -194, -188, -184, -156, -148, -156, -156, -153, -154, -144, 
##     -137, -135, -144, -149, -150, -148, -148, -156, -158, -156, 
##     -148, -147, -145, -132, -125, -133, -143, -143, -139, -123, 
##     -121, -118, -119, -108, -95, -114, -127, -137, -173, -177, 
##     -181, -174, -164, -154, -157, -170, -230, -223, -222, -221, 
##     -206, -199, -198, -204, -211, -219, -242, -240, -239, -230, 
##     -236, -247, -248, -248, -240, -236, -219, -233, -238, -265, 
##     -290, -292, -279, -268, -254, -252, -253, -255, -252, -245, 
##     -244, -244, -243, -233, -211, -203, -173, -157, -140, -141, 
##     -145, -256, -267, -255, -243, -231, -220, -210, -201, -196, 
##     -184, -181, -176, -165, -132, -121, -124, -128, -145, -150, 
##     -151, -162, -175, -166, -163, -156, -150, -155, -159, -153, 
##     -145, -146, -164, -152, -162, -174, -169, -174, -187, -193, 
##     -208, -215, -210, -208, -201, -187, -225, -227, -231, -259, 
##     -249, -224, -226, -234, -235, -221, -218, -216, -206, -195, 
##     -187, -181, -158, -162, -152, -159, -160, -162, -144, -141, 
##     -237, -238, -238, -235, -231, -233, -217, -209, -207, -203, 
##     -169, -166, -143, -146, -145, -145, -142, -148, -148, -158, 
##     -155, -161, -208, -216, -201, -204, -200, -196, -194, -187, 
##     -184, -196, -204, -203, -205, -202, -203, -200, -199, -204, 
##     -210, -221, -239, -273, -284, -295, -273, -246, -239, -234, 
##     -208, -207, -208, -185, -189, -191, -212, -204, -189, -184, 
##     -190, -200, -207, -207, -209, -202, -196, -203, -206, -215, 
##     -218, -219, -221, -215, -222, -223, -246, -259, -251, -233, 
##     -220, -223, -239, -229, -218, -217, -220, -231, -243, -244, 
##     -237, -233, -235, -235, -235, -235, -234, -235, -236, -232, 
##     -236, -120, -144, -141, -162, -158, -150, -159, -162, -170, 
##     -172, -180, -184, -189, -180, -181, -180, -168, -164, -164, 
##     -161, -153, -144, -134, -123, -120, -129, -128, -125, -134, 
##     -139, -149, -152, -157, -165, -244, -274, -348, -366, -354, 
##     -246, -213, -176, -167, -93, -110, -125, -91, -153, -130, 
##     -121, -125, -134, -112, -128, -126, -148, -169, -168, -178, 
##     -178, -187, -183, -158, -150, -148, -143, -140, -145, -143, 
##     -139, -136, -111, -144, -158, -162, -151, -153, -156, -172, 
##     -202, -227, -243, -251, -258, -276, -329, -282, -264, -249, 
##     -234, -234, -227, -185, -191, -181, -185, -159, -162, -156, 
##     -143, -146, -135, -135, -133, -132, -144, -160, -163, -169, 
##     -180, -193, -200, -200, -191, -190, -196, -195, -195, -197, 
##     -190, -189, -172, -170, -170, -165, -160, -155, -153, -164, 
##     -161, -161, -152, -190, -194, -179, -177, -184, -190, -201, 
##     -201, -206, -195, -182, -180, -173, -174, -172, -173, -174, 
##     -176, -174, -177, -182, -176, -180, -193, -209, -196, -170, 
##     -176, -180, -182, -182, -195, -188, -184, -182, -190, -193, 
##     -197, -197, -185, -189, -178, -185, -190, -191, -186, -184, 
##     -192, -176, -185, -183, -185, -203, -202, -201, -203, -207, 
##     -205, -195, -194, -198, -198, -199, -199, -194, -189, -188, 
##     -195, -200, -199, -205, -203, -204, -203, -206, -206, -201, 
##     -199, -181, -173, -173, -169, -185, -181, -180, -185, -188, 
##     -188, -183, -197, -199, -193, -190, -183, -173, -166, -166, 
##     -173, -182, -183, -186, -188, -196, -197, -191, -205, -172, 
##     -185, -194, -209, -189, -180, -186, -173, -197, -199, -198, 
##     -194, -188, -181, -178, -161, -159, -158, -162, -173, -175, 
##     -177, -177, -174, -171, -169, -169, -169, -175, -183, -185, 
##     -175, -172, -170, -167, -175, -173, -182, -183, -148, -171, 
##     -153, -155, -147, -139, -141, -147, -179, -178, -180, -184, 
##     -178, -183, -185, -184, -181, -176, -178, -178, -180, -171, 
##     -167, -165, -166, -165, -174, -176, -174, -175, -181, -172, 
##     -200, -193, -181, -165, -166, -165, -158, -182, -173, -168, 
##     -168, -175, -175, -189, -193, -198, -179, -183, -183, -173, 
##     -176, -188, -188, -192, -186, -185, -178, -178, -179, -176, 
##     -163, -161, -165, -173, -181, -180, -174, -179, -177, -158, 
##     -174, -194, -184, -187, -178, -176, -170, -166, -178, -152, 
##     -140, -170, -166, -177, -167, -157, -159, -150, -157, -170, 
##     -173, -165, -164, -165, -177, -172, -175, -172, -174, -178, 
##     -180, -173, -172, 181, 176, 176, 181, 188, 191, 191, 197, 
##     216, 234, 254, 245, 249, 233, 240, 217, 204, 188, 197, 194, 
##     184, 170, 164, 164, 166, 148, 133, 129, 124, 127, 130, 130, 
##     144, 169, 177, 190, 199, 196, 192, 190, 207, 202, 200, 200, 
##     208, 203, 202, 196, 176, 162, 163, 167, 166, 158, 150, 151, 
##     152, 150, 156, 163, 178, 183, 188, 188, 200, 203, 210, 210, 
##     208, 255, 287, 291, 275, 247, 222, 219, 207, 187, 179, 183, 
##     167, 147, 143, 147, 132, 124, 119, 131, 128, 127, 124, 131, 
##     141, 167, 182, 186, 185, 192, 194, 195, 200, 204, 215, 209, 
##     211, 217, 212, 215, 200, 196, 194, 199, 200, 208, 207, 204, 
##     198, 193, 186, 186, 180, 178, 170, 171, 169, 175, 171, 169, 
##     171, 173, 168, 162, 164, 159, 161, 171, 173, 166, 169, 172, 
##     176, 173, 170, 168, 173, 161, 169, 170, 170, 163, 175, 182, 
##     177, 173, 182, 185, 186, 189, 189, 191, 198, 200, 204, 202, 
##     207, 205, 203, 202, 180, 175, 176, 168, 164, 170, 170, 174, 
##     177, 178, 174, 196, 196, 198, 197, 205, 211, 211, 190, 188, 
##     177, 188, 188, 189, 189, 208, 220, 217, 213, 171, 154, 177, 
##     201, 236, 230, 228, 230, 225, 223, 221, 218, 213, 204, 185, 
##     185, 188, 209, 195, 194, 190, 195, 193, 179, 170, 171, 174, 
##     173, 188, 194, 194, 178, 169, 175, 185, 194, 196, 203, 203, 
##     199, 200, 198, 207, 208, 206, 205, 201, 197, 195, 190, 188, 
##     186, 179, 178, 169, 169, 170, 164, 166, 166, 168, 171, 174, 
##     174, 170, 158, 172, 173, 181, 179, 173, 179, 176, 157, 157, 
##     159, 150, 176, 188, 195, 209, 207, 207, 207, 208, 211, 205, 
##     201, 198, 187, 175, 173, 175, 174, 169, 174, 168, 158, 164, 
##     163, 172, 175, 176, 182, 153, 149, 139, 140, 143, 143, 147, 
##     154, 160, 164, 166, 160, 160, 170, 163, 159, 149, 144, 149, 
##     166, 151, 189, 188, 179, 189, 193, 211, 214, 214, 211, 200, 
##     187, 175, 180, 200, 192, 196, 192, 193, 196, 193, 183, 182, 
##     184, 177, 158, 159, 163, 164, 168, 174, 181, 181, 183, 181, 
##     185, 188, 184, 174, 208, 206, 201, 191, 188, 189, 195, 192, 
##     206, 205, 199, 194, 193, 194, 196, 190, 192, 188, 172, 171, 
##     173, 173, 175, 178, 187, 189, 192, 180, 190, 174, 182, 205, 
##     186, 195, 195, 196, 200, 206, 213, 216, 222, 221, 225, 221, 
##     220, 221, 217, 210, 199, 191, 185, 199, 205, 205, 199, 194, 
##     -214, -215, -211, -211, -211, -208, -207, -189, -196, -187, 
##     -177, -185, -203, -184, -191, -185, -179, -187, -201, -213, 
##     -235, -241, -231, -230, -224, -229, -243, -247, -246, -241, 
##     -239, -235, -227, -229, -233, -238, -255, -255, -253, -250, 
##     -251, -244, -231, -248, -260, -263, -266, -267, -266, -256, 
##     -250, -248, -235, -237, -232, -225, -238, -270, -267, -263, 
##     -269, -253, -247, -245, -241, -249, -248, -252, -248, -246, 
##     -254, -245, -238, -231, -229, -241, -248, -239, -244, -245, 
##     -231, -230, -236, -245, -244, -240, -233, -248, -240, -236, 
##     -237, -237, -230, -238, -239, -239, -244, -229, -226, -228, 
##     -228, -231, -245, -243, -247, -242, -249, -247, -248, -247, 
##     -247, -244, -245, -251, -250, -234, -233, -231, -234, -234, 
##     -233, -234, -230, -226, -225, -225, -225, -222, -217, -220, 
##     -214, -205, -206, -208, -208, -219, -219, -210, -199, -200, 
##     -198, -197, -197, -203, -206, -207, -213, -214, -211, -209, 
##     -206, -199, -204, -207, -210, -204, -185, -191, -185, -182, 
##     -174, -188, -201, -160, -182, -212, -206, -205, -216, -222, 
##     -225, -229, -219, -216, -216, -214, -212, -214, -215, -214, 
##     -214, -220, -210, -211, -213, -209, -202, -177, -201, -192, 
##     -187, -182, -174, -181, -184, -193, -187, -191, -188, -190, 
##     -189, -183, -191, -192, -188, -178, -213, -214, -212, -206, 
##     -204, -215, -210, -205, -197, -201, -197, -195, -183, -170, 
##     -168, -160, -154, -175, -188, -199, -189, -186, -179, -173, 
##     -166, -166, -156, -184, -182, -156, -162, -187, -160, -147, 
##     -165, -162, -189, -195, -220, -223, -222, -221, -201, -203, 
##     -202, -204, -202, -201, -197, -192, -192, -194, -191, -188, 
##     -180, -192, -181, -193, -172, -179, -178, -178, -175, -186, 
##     -172, -179, -177, -192, -204, -205, -217, -215, -218, -210, 
##     -212, -213, -231, -225, -210, -211, -206, -208, -210, -207, 
##     -201, -204, -210, -209, -194, -190, -189, -194, -184, -185, 
##     -188, -190, -187, -192, -197, -197, -199, -191, -201, -191, 
##     -215, -214, -212, -215, -236, -232, -233, -249, -221, -227, 
##     -222, -212, -219, -217, -217, -250, -244, -240, -225, -209, 
##     -199, -218, -235, -223, -219, -214, -219, -219, -230, -228, 
##     -229, -227, -228, -227, -222, -214, -207, -213, -213, -205, 
##     -189, -191, -192, -197, -193, -193, -189, -187, -191, -191, 
##     -195, -185, -187, -189, -196, -210, -184, -190, -187, -191, 
##     -184, -204, -218, -219, -224, -231, -222, -220, -222, -219, 
##     -222, -226, -223, -218, -215, -221, -218, -222, -221, -214, 
##     -211, -205, -208, -206, -204, -202, -201, -196, -191, -191, 
##     -197, -201, -197, -193, -190, -187, -189, -186, -185, -189, 
##     -168, -170, -186, -192, -175, -177, -175, -177, -184, -167, 
##     -195, -186, -188, -199, -215, -208, -215, -214, -205, -201, 
##     -204, -205, -207, -210, -201, -200, -195, -223, -201, -197, 
##     -189, -178, -181, -180, -180, -181, -182, -183, -182, -178, 
##     -178, -170, -162, -147, -147, -144, -152, -152, -141, -143, 
##     -151, -157, -157, -158, -153, -157, -162, -165, -195, -207, 
##     -212, -215, -213, -195, -176, -170, -193, -197, -186, -182, 
##     -184, -192, -183, -191, -170, -150, -153, -157, -160, -167, 
##     -168, -166, -168, -176, -180, -179, -175, -170, -175, -188, 
##     -180, -185, -180, -179, -181, -168, -158, -154, -151, -141, 
##     -140, -141, -149, -155, -169, -187, -204, -203, -209, -199, 
##     -201, -188, -185, -197, -202, -196, -197, -204, -195, -171, 
##     -183, -144, -165, -160, -161, -162, -159, -169, -177, -181, 
##     -176, -172, -168, -157, -149, -140, -144, -175, -180, -193, 
##     -203, -214, -224, -194, -180, -183, -182, -181, -180, -186, 
##     -186, -174, -212, -226, -213, -207, -217, -210, -193, -184, 
##     -173, -173, -182, -189, -186, -184, -188, -195, -187, -192, 
##     -184, -166, -173, -145, -178, -199, -101, -119, -130, -170, 
##     -171, -162, -158, -144, -140, -140, -139, -128, -116, -114, 
##     -116, -149, -163, -175, -187, -193, -206, -199, -190, -178, 
##     -171, -186, -186, -191, -208, -141, -156, -176, -152, -136, 
##     -157, -143, -150, -141, -140, -148, -151, -155, -164, -175, 
##     -178, -164, -149, -141, -142, -172, -172, -168, -169, -172, 
##     -173, -182, -189, -233, -228, -213, -205, -196, -182, -186, 
##     -204, -215, -214, -167, -173, -154, -111, -131, -130, -145, 
##     -153, -147, -162, -141, -145, -153, -174, -169, -165, -159, 
##     -147, -138, -125, -171, -197, -198, -207, -210, -206, -199, 
##     -190, -182, -179, -179, -183, -175, -177, -181, -160, -163, 
##     -148, -148, -144, -131, -145, -153, -166, -149, -126, -138, 
##     -153, -159, -162, -149, -125, -124, -114, -181, -199, -204, 
##     -211, -198, -201, -187, -175, -186, -188, -149, -163, -159, 
##     -150, -158, -133, -119, -119, -134, -143, -147, -149, -143, 
##     -140, -118, -120, -133, -148, -159, -179, -198, -210, -206, 
##     -172, -172, -172, -171, -201, -206, -215, -209, -180, -165, 
##     -177, -153, -173, -184, -179, -171, -159, -168, -133, -124, 
##     -118, -152, -162, -152, -125, -125, -125, -127, -127, -129, 
##     -133, -159, -176, -173, -193, -218, -223, -212, -173, -158, 
##     -185, -191, -200, -195, -180, -196, -194, -191, -136, -147, 
##     -191, -167, -145, -145, -146, -146, -158, -149, -163, -165, 
##     -181, -185, -193, -197, -199, -196, -194, -189, -187, -182, 
##     -183, -186, -190, -193, -190, -185, -182, -177, -172, -174, 
##     -174, -173, -173, -179, -188, -184, -186, -186, -179, -178, 
##     -177, -177, -175, -173, -177, -180, -179, -181, -181, -180, 
##     -178, -177, -175, -173, -177, -175, -169, -166, -168, -160, 
##     -147, -132, -127, -125, -115, -111, -113, -113, -113, -113, 
##     -111, -115, -115, -131, -157, -162, -162, -196, -214, -209, 
##     -210, -226, -214, -200, -189, -179, -174, -182, -190, -179, 
##     -150, -124, -131, -117, -124, -125, -179, -153, -117, -94, 
##     -60, -75, -88, -134, -143, -133, -127, -123, -122, -131, 
##     -140, -141, -139, -144, -185, -202, -197, -184, -189, -202, 
##     -240, -220, -201, -176, -196, -189, -181, -169, -109, -149, 
##     -202, -189, -166, -79, -101, -113, -167, -176, -201, -201, 
##     -199, -195, -187, -178, -172, -162, -163, -164, -162, -159, 
##     -156, -161, -166, -173, -176, -171, -170, -169, -170, -169, 
##     -166, -168, -169, -172, -173, -173, -168, -168, -168, -168, 
##     -168, -168, -166, -166, -168, -169, -169, -168, -167, -166, 
##     -166, -149, -145, -147, -151, -150, -148, -152, -153, -155, 
##     -153, -159, -161, -162, -156, -155, -172, -179, -185, -201, 
##     -219, -232, -239, -221, -201, -173, -195, -205, -196, -179, 
##     -171, -170, -192, -207, -189, -186, -178, -173, -165, -195, 
##     -173, -172, -176, -184, -191, -194, -191, -190, -190, -181, 
##     -174, -171, -185, -190, -188, -180, -175, -188, -186, -179, 
##     -183, -184, -34, -29, -5, -7, 5, 12, 12, 10, 5, -9, -8, 11, 
##     16, -5, -7, -11, -10, -13, 13, 25, 20, 21, 28, 25, 21, 22, 
##     12, 2, -7, -10, -21, 3, 6, 6, 5, 5, 10, 5, 9, 5, -6, -6, 
##     7, -1, -1, -10, -1, 3, 5, 11, 19, 25, 15, 31, 44, 31, 92, 
##     92, 91, 73, 45, 22, 62, 72, 88, 87, 40, 20, 21, 8, 6, 14, 
##     25, 28, 20, 15, -9, -12, -15, -14, -18, -18, -21, -19, -24, 
##     -17, -16, -17, -14, 3, -1, -9, 2, 6, 12, 16, 25, 23, 21, 
##     18, 15, 16, 1, 11, -25, -41, -14, 12, 6, 0, -1, 0, 2, 3, 
##     5, 4, -1, -10, -12, -15, -22, -19, -14, -17, -22, -31, -28, 
##     -28, -28, -29, -12, -5, 6, 44, 58, 55, 65, 62, 47, 59, 56, 
##     50, 34, 6, -7, -15, -38, -41, -43, -45, -51, -44, -40, -41, 
##     -35, -27, -27, -21, -22, -40, -40, -60, -59, -63, -65, -63, 
##     -66, -83, -85, -84, -77, -73, -67, -64, -67, -70, -76, -70, 
##     -71, -70, -74, -77, -82, -91, -98, -92, -89, -85, -82, -84, 
##     -83, -80, -78, -76, -73, -70, -75, -76, -75, -78, -80, -74, 
##     -70, -53, -54, -60, -67, -71, -69, -59, -53, -62, -70, -70, 
##     -73, -65, -61, -55, -46, -38, -32, -29, -38, -35, -41, -55, 
##     -57, -63, -67, -50, -31, -22, -28, -32, -27, -8, 7, 12, 12, 
##     14, 13, 8, 5, 9, 19, 25, 23, 9, 8, 17, 8, 8, 8, 2, 5, -1, 
##     -6, -14, -13, -14, 6, -2, -9, -20, -23, -20, -13, -10, -7, 
##     -9, -8, -8, -12, -22, -19, -18, -16, -19, -30, -35, -34, 
##     -27, -28, -35, -37, -27, -21, -19, -16, -12, -6, 14, 15, 
##     17, 27, 24, 30, 30, 36, 35, 36, 33, 23, 23, 31, 29, 26, 18, 
##     19, 10, 7, 14, 4, 15, 17, 7, 9, 4, 8, 35, 34, 31, 35, 15, 
##     6, 1, 3, 4, 16, 30, 50, 57, 49, 27, 4, -9, -6, -1, -3, -5, 
##     -11, -5, 19, 7, -7, -17, -16, -10, 16, 18, 9, 3, -4, -4, 
##     2, 7, 9, 10, 7, 7, 1, 6, 4, 12, -3, 9, 20, 20, 25, 32, 34, 
##     31, 25, 22, 35, 37, 36, 36, 30, 27, 23, 18, 21, 15, 7, 2, 
##     -13, -9, -34, -10, -9, -8, 4, 15, 5, -4, -8, -27, -14, -15, 
##     -13, -7, -52, -54, -51, -50, -52, -48, -42, -38, -33, -38, 
##     -53, -45, -43, -46, -22, -22, -24, -25, -25, -23, -46, -45, 
##     -41, -45, -47, -46, -40, -24, -20, -4, -18, -12, -4, 6, -12, 
##     -14, -15, -19, -18, -18, -15, -16, -16, -24, -30, -35, -41, 
##     -41, -43, -38, -29, -31, -34, -31, -33, -36, -32, -35, -31, 
##     -32, -35, -33, -34, -33, -33, -36, -22, -29, -26, -28, -25, 
##     -17, -21, -22, -21, -21, -14, 0, 11, 12, 11, 18, 9, 19, 23, 
##     25, 24, 24, 21, 17, 9, -18, -19, -14, -11, -6, 1, 1, -7, 
##     -16, -21, -27, -21, -27, -26, -35, -40, -40, -39, -38, -47, 
##     -65, -61, -61, -54, -47, -45, -49, -61, -56, -54, -51, -45, 
##     -35, -36, -39, -48, -45, -44, -40, -34, -35, -39, -16, -17, 
##     -16, -18, -1, 12, 22, 26, 24, 25, 23, 27, 27, 29, 34, 37, 
##     20, 27, 19, 15, 18, 18, 15, 10, 3, 4, 1, -3, -5, -10, -18, 
##     -3, -1, -9, -12, -18, -38, -39, -51, -51, -43, -37, -34, 
##     -34, -36, -58, -64, -60, -52, -39, -34, -25, -22, -24, -25, 
##     -34, -29, -32, -37, -19, -18, -15, -9, -4, -7, -10, 0, 4, 
##     8, 17, 20, 31, 33, 31, 29, 30, 33, 51, 31, 28, 21, 26, 17, 
##     18, 19, -13, -10, -3, -3, 7, 5, 9, 16, 20, 26, 7, 24, 24, 
##     -3, -2, 4, 11, 13, 3, -1, -15, -12, -11, -9, -24, -22, -18, 
##     -11, -15, -23, -29, -28, -32, -29, -30, -28, -24, 56, -60, 
##     -87, -103, -107, -104, -98, -84, -94, -62, -55, -28, 16, 
##     -28, -35, -41, -46, -50, -57, -61, -65, -69, -64, -58, -48, 
##     -45, -38, -42, -39, 31, 27, 18, 21, 12, 6, 1, -7, -14, -13, 
##     -10, -5, -8, -11, -13, -12, -14, -10, -10, -14, -20, -18, 
##     -6, 42, 50, 43, 35, 27, 40, 70, 76, 76, 26, 13, 16, 11, 1, 
##     -15, -8, -35, -40, -41, -30, -2, 2, -24, -23, -18, -13, -11, 
##     -10, -11, -15, -16, -18, -5, 2, 2, 14, 38, 59, 65, 84, 49, 
##     73, 74, 67, 59, 53, 51, 63, 59, 40, 29, 32, 36, 42, 37, 29, 
##     16, 14, 14, 19, 16, 9, 9, 16, 11, 9, 6, 1, -2, -9, -22, -41, 
##     -48, -46, -30, -9, -1, 3, -2, -5, -12, -27, -23, -12, -8, 
##     13, 24, 24, 58, 54, 54, 71, 65, 40, 40, 67, 60, 29, 14, 9, 
##     13, 15, 23, 27, 24, 20, 17, 14, 13, 25, 32, 22, 10, 2, -3, 
##     -11, -15, -14, -11, -5, 1, 13, 35, 38, 52, 62, 69, 68, 64, 
##     50, 46, 34, 40, 43, 43, 8, 9, 9, -6, -7, -8, 0, 8, 2, -7, 
##     -17, -35, -42, -49, -42, -37, -29, -26, -22, -30, -31, -33, 
##     -32, -28, -22, -19, -17, -13, -12, 0, 1, 13, 11, 13, 17, 
##     15, 10, 17, 30, 48, 44, 54, 45, 49, 29, 36, 49, 61, 65, 61, 
##     60, 53, 45, 27, 10, 4, 2, 9, 31, 31, 24, -33, -24, -16, -10, 
##     7, 6, 10, 8, 12, 13, 29, 40, 54, 60, 60, 52, 33, 19, 11, 
##     10, 13, 18, 23, 19, 34, 29, 27, 26, 12, 11, 12, 25, 23, 29, 
##     -2, 3, -4, -10, -2, 9, 13, 11, 12, 10, 9, 10, 17, 17, 32, 
##     36, 35, 29, 37, 48, 62, 41, 35, 19, 47, 31, 31, 31, 34, 26, 
##     36, 24, 10, 12, 27, 31, 27, 26, 21, 16, 7, -5, -11, -13, 
##     15, 23, 26, 31, 31, 11, 4, 3, 6, 6, 21, 31, 39, 33, 17, 17, 
##     21, 30, 32, 36, 43, 44, 36, 27, 36, 37, 20, 17, 12, 13, 5, 
##     14, 18, 14, 15, 17, 16, 16, 17, 21, 37, 33, 19, 30, 31, 31, 
##     30, 11, -10, -15, 3, 5, 8, 8, 8, 0, -3, -5, -18, -20, -23, 
##     -17, -15, -3, 6, 13, 7, 3, 0, 11, 22, 23, 31, 33, 29, 26, 
##     24, 30, 31, 29, 34, 39, 49, 20, 21, 21, 18, 23, 25, 27, 22, 
##     13, 14, 16, 15, 13, 14, 13, 8, 27, 33, 40, 44, 52, 31, 34, 
##     35, 37, 27, 22, -4, -18, -22, 21, 12, -1, -6, 48, 54, 53, 
##     48, 43, 35, 30, 15, 1, -1, 2, 10, 18, 28, 19, 17, 9, 2, 44, 
##     41, 39, 74, 63, 31, 29, 30, 23, 24, 24, 26, 24, 17, 13, 14, 
##     13, 14, 14, 17, 21, 22, 5, 1, 9, 12, 14, 13, 12, 10, 12, 
##     30, 33, 28, 51, 53, 41, 34, 39, 38, 21, 5, 14, 25, 23, -4, 
##     -12, -12, -10, 1, 0, -1, 5, 6, 9, 8, 7, -6, -12, -14, -21, 
##     36, 41, 37, 21, 7, 1, -3, -25, -3, 14, 24, 17, 16, 10, 5, 
##     5, 6, 19, 15, -6, -14, -11, -12, 17, 27, 25, 20, 22, 21, 
##     20, 22, 22, 26, 38, 32, 42, 43, 45, 46, 51, 54, 50, 46, 28, 
##     35, 19, 14, 13, 15, 0, 0, 2, 9, 16, 24, 17, 25, 32, 35, 37, 
##     40, 24, 32, 32, 25, 27, 31, 44, 32, 39, 45, 46, 47, 45, 42, 
##     46, 38, 18, 29, 27, 26, 7, 0, -1, 26, 22, 18, 16, 10, 6, 
##     9, 12, 16, 18, 28, 46, 57, 71, 105, 105, 86, 83, 85, 80, 
##     91, 89, 74, 65, 37, 22, -171, -168, -173, -181, -183, -183, 
##     -182, -178, -175, -174, -177, -180, -178, -176, -177, -172, 
##     -174, -179, -180, -161, -164, -168, -168, -172, -170, -174, 
##     -175, -175, -173, -169, -166, -168, -170, -173, -173, -167, 
##     -172, -172, -172, -164, -165, -160, -183, -193, -195, -189, 
##     -169, -147, -156, -168, -191, -206, -163, -140, -138, -133, 
##     -145, -158, -195, -198, -209, 174, 162, 191, 160, 187, 170, 
##     182, 193, 197, 196, 197, 209, 209, 211, 212, 213, 211, 213, 
##     190, 185, 193, 191, 187, 184, 182, 173, 175, 170, 170, 171, 
##     185, 190, 186, 184, 182, 180, 174, 177, 179, 180, 174, 190, 
##     180, 176, 174, 180, 182, 188, 183, 186, 190, 190, 181, 176, 
##     172, 163, 167, 168, 169, 173, 185, 183, 175, 172, 161, 160, 
##     165, 168, 173, 180, 184, 190, 197, -189, -174, -176, -179, 
##     -175, -170, -169, -160, -158, -166, -190, -197, -188, -186, 
##     -187, -189, -196, -192, -189, -189, -186, -170, -175, -177, 
##     -177, -174, -176, -180, -186, -190, -195, -198, -193, -187, 
##     -181, -179, -173, -162, -162, -163, -171, -172, -180, -181, 
##     -180, -177, -182, -187, -193, -193, -183, -183, -183, -177, 
##     -178, -173, -183, -185, -181, -174, -181, -191, -200, -195, 
##     -195, -195, -200, -199, -202, -205, -200, -200, -201, -201, 
##     -169, -160, -163, -165, -172, -173, -172, -177, -178, -181, 
##     -185, -180, -180, -182, -190, -194, -189, -184, -182, -183, 
##     -177, -169, -189, -162, -167, -170, -172, -172, -159, -171, 
##     -175, -189, -196, -177, -164, -165, -179, -180, -184, -165, 
##     -173, -177, -176, -235, -236, -196, -191, -193, -182, -180, 
##     -196, -196, -191, -193, -197, -187, -196, -196, -200, -201, 
##     -209, -209, -208, -202, -199, -204, -201, -192, -192, -202, 
##     -224, -238, -235, -251, -252, -249, -242, -230, -232, -237, 
##     -243, -242, -242, -239, -236, -233, -231, -231, -238, -232, 
##     -232, -234, -232, -236, -232, -173, -177, -183, -187, -175, 
##     -195, -189, -204, -200, -196, -210, -229, -194, -190, -206, 
##     -214, -200, -205, -208, -200, -206, -219, -223, -211, -223, 
##     -248, -263, -263, -252, -244, -222, -188, -191, -204, -210, 
##     -184, -171, -171, -176, -179, -197, -190, -197, -196, -190, 
##     -187, -188, -174, -177, -157, -153, -160, -179, -176, -175, 
##     -172, -172, -173, -181, -184, -182, -183, -184, -184, -178, 
##     -178, -188, -189, -191, -190, -185, -167, -182, -179, -176, 
##     -182, -180, -181, -182, -175, -187, -187, -176, -174, -169, 
##     -219, -234, -179, -184, -192, -193, -190, -190, -194, -184, 
##     -176, -171, -172, -164, -180, -177, -163, -152, -164, -189, 
##     -195, -181, -180, -162, -156, -160, -152, -161, -170, -201, 
##     -199, -199, -197, -189, -188, -187, -181, -194, -205, -201, 
##     -197, -190, -187, -186, -184, -188, -208, -220, -209, -165, 
##     -166, -172, -175, -179, -199, -190, -193, -194, -187, -185, 
##     -191, -178, -167, -163, -148, -143, -136, -140, -151, -158, 
##     -164, -166, -165, -164, -168, -151, -173, -208, -198, -189, 
##     -180, -183, -170, -163, -149, -141, -131, -128, -138, -131, 
##     -135, -138, -146, -154, -164, -172, -168, -167, -166, -165, 
##     -165, -163, -164, -164, -165, -166, -164, -157, -160, -155, 
##     -157, -157, -148, -155, -146, -164, -169, -164, -155, -159, 
##     -159, -151, -169, -170, -168, -166, -158, -163, -165, -168, 
##     -170, -165, -167, -168, -167, -163, -169, -168, -174, -172, 
##     -161, -155, -156, -156, -153, -164, -174, -178, -191, -187, 
##     -198, -197, -194, -187, -181, -184, -176, -180, -172, -172, 
##     -173, -171, -180, -190, -200, -206, -223, -231, -231, -235, 
##     -209, -204, -214, -233, -226, -199, -187, -166, -144, -167, 
##     -152, -128, -145, -163, -168, -169, -174, -174, -181, -186, 
##     -189, -192, -190, -193, -230, -156, -127, -126, -128, -121, 
##     -150, -153, -136, -131, -148, -152, -163, -168, -167, -159, 
##     -163, -173, -165, -168, -161, -158, -157, -166, -169, -162, 
##     -164, -160, -168, -190, -194, -202, -208, -215, -212, -213, 
##     -212, -211, -201, -205, -193, -180, -168, -148, -160, -127, 
##     -129, -134, -141, -168, -168, -165, -161, -179, -179, -165, 
##     -175, -174, -171, -171, -169, -168, -167, -158, -161, -154, 
##     -155, -159, -169, -204, -207, -213, -219, -188, -185, -182, 
##     -182, -177, -180, -177, -180, -177, -174, -175, -182, -195, 
##     -199, -192, -200, -199, -207, -213, -213, -215, -229, -216, 
##     -213, -211, -210, -195, -186, -181, -145, -129, -144, -153, 
##     -182, -181, -164, -151, -171, -146, -175, -173, -173, -169, 
##     -171, -173, -179, -178, -182, -186, -181, -194, -193, -185, 
##     -182, -186, -187, -192, -195, -194, -188, -162, -170, -176, 
##     -176, -174, -175, -184, -187, -190, -192, -190, -191, -185, 
##     -188, -187, -181, -178, -194, -196, -203, -203, -199, -203, 
##     -204, -211, -215, -213, -190, -200, -209, -224, -203, -209, 
##     -187, -180, -184, -162, -161, -160, -158, -162, -137, -141, 
##     -176, -169, -174, -182, -174, -162, -152, -176, -186, -188, 
##     -189, -193, -197, -194, -187, -185, -183, -184, -185, -184, 
##     -186, -197, -200, -193, -201, -212, -213, -219, -224, -195, 
##     -179, -188, -202, -202, -206, -203, -212, -209, -179, -154, 
##     -157, -170, -175, -178, -181, -192, -194, -200, -196, -193, 
##     -183, -191, -193, -192, -185, -187, -192, -191, -191, -221, 
##     -216, -220, -222, -222, -227, -234, -230, -222, -228, -219, 
##     -201, -206, -148, 37, 23, 20, 11, 9, 10, 8, -2, -3, 6, -11, 
##     -37, -2, 14, 19, 23, 26, 33, 28, 17, 22, 6, 9, 10, 14, 7, 
##     -4, -14, -24, -42, -32, -20, -10, -8, -1, -4, -1, 4, 10, 
##     14, 23, 34, 26, 36, 43, 45, 49, 47, 27, 22, 16, 31, 40, 47, 
##     40, 45, 51, 52, 42, 33, 31, 29, 29, 36, 41, 44, 45, 54, 55, 
##     28, 23, 25, 17, 7, 12, 7, 4, -3, -3, 1, 9, 8, 0, -5, -10, 
##     -7, -11, -6, -11, -6, 0, -6, 9, 15, 10, 27, 32, 43, 43, 51, 
##     44, 37, 31, 34, 38, 43, 41, 41, 34, 27, 27, 39, 35, 49, 42, 
##     21, 35, 46, 40, 16, 26, 33, 25, 27, 22, 20, 27, 26, 24, 29, 
##     28, 23, 21, 23, 21, 23, 20, 24, 26, 34, 29, 20, 17, 18, 13, 
##     10, 5, -13, -29, -27, -17, -1, -5, -8, -3, 2, 18, 25, 11, 
##     1, 23, 26, 29, 21, 25, 2, 16, 16, 19, 25, 34, 41, 34, 29, 
##     28, 26, 37, 39, 30, 24, 17, 30, 34, 39, 43, 23, 6, 5, 5, 
##     6, 15, 15, 9, 8, 12, 10, 7, 4, -2, -4, -4, -21, -28, -25, 
##     -11, 5, -1, -4, -9, -9, -6, -7, -16, 1, 1, 12, 22, 37, 45, 
##     35, 29, 35, 38, 16, 16, 12, 13, 26, 27, 28, 26, 26, 27, 36, 
##     26, 25, 22, 17, 23, 23, 27, -10, -11, -4, 4, 24, 24, 24, 
##     16, 17, 32, 58, 45, 7, 8, 16, 22, 27, 24, 21, 17, 15, 14, 
##     34, 41, 32, -2, 3, -48, -49, -44, 0, 3, -1, -19, -20, -24, 
##     -21, -12, -7, -3, -8, -13, -25, -33, -33, -33, -17, -5, -26, 
##     -20, 3, 11, 23, 14, -2, 39, 54, 48, 62, 52, 28, 189, 190, 
##     188, 187, 189, 184, 184, 183, 175, 171, 168, 165, 167, 174, 
##     182, 190, 194, 181, 176, 180, 189, 175, 187, 193, 201, 201, 
##     200, 208, 210, 208, 200, 195, 198, 201, 208, 222, 226, 226, 
##     221, 215, 210, 196, 186, 185, 187, 193, 194, 192, 204, 200, 
##     180, 176, 179, 170, 182, 182, 177, 180, 171, 162, 161, 163, 
##     161, 158, 161, 161, 161, 175, 169, 180, 184, 164, 185, 183, 
##     172, 168, 165, 171, 177, 186, 198, 200, 203, 202, 198, 196, 
##     189, 193, 196, 200, 199, 197, 199, 200, 202, 204, 205, 202, 
##     203, 198, 194, 191, 182, 172, 169, 165, 164, 172, 184, 199, 
##     182, 175, 203, 187, 226, 217, 213, 228, 224, 225, 223, 217, 
##     213, 208, 191, 184, 186, 180, 190, 188, 178, 175, 170, 172, 
##     180, 179, 177, 175, 173, 157, 131, 136, 140, 149, 153, 155, 
##     165, 172, 173, 182, 185, 172, 174, 172, 176, 180, 164, 165, 
##     176, 177, 174, 180, 187, 186, 200, 209, 201, 196, 207, 219, 
##     216, 216, 212, 208, 207, 212, 196, 189, 179, 178, 178, 172, 
##     173, 178, 179, 183, 173, 173, 174, 179, 181, 181, 179, 167, 
##     161, 167, 183, 184, 175, 187, 196, 193, 185, 192, 195, 183, 
##     183, 175, 157, 167, 162, 186, 183, 166, 177, 186, 192, 201, 
##     218, 213, 216, 217, 225, 218, 212, 207, 201, 197, 187, 178, 
##     179, 178, 192, 198, 197, 200, 206, 206, 205, 206, 199, 191, 
##     162, 154, 165, 174, 175, 177, 175, 204, 215, 175, 185, 180, 
##     129, 140, 158, 141, 157, 156, 149, 148, 151, 158, 153, 163, 
##     170, 172, 186, 192, 195, 205, 210, 211, 208, 205, 203, 208, 
##     207, 200, 184, 167, 166, 149, 144, 149, 154, 158, 161, 172, 
##     181, 193, 178, 168, 172, 178, 177, 174, 168, 197, 197, 195, 
##     172, 185, 159, 154, 159, 147, 151, 165, 162, 172, 181, 193, 
##     192, 195, 210, 211, 214, 215, 219, 213, 208, 212, 210, 210, 
##     187, 179, 178, 173, 172, 170, 171, 173, 172, 176, 177, 181, 
##     181, 182, 179, 175, 164, 158, 155, 149, 160, 160, 173, 181, 
##     174, 167, 167, 168, 161, 158, 159, 145, 150, 142, 133, 142, 
##     148, 152, 158, 169, 159, 186, 183, 206, 216, 217, 209, 214, 
##     211, 201, 195, 190, 176, 174, 174, 175, 174, 177, 181, 183, 
##     187, 180, 177, 174, 172, 183, 189, 183, 181, 179, 177, 164, 
##     177, 197, 204, 197, 186, 191, 205, 203, 185, 174, 177, 176, 
##     159, 142, 128, 128, 139, 142, 149, 151, 159, 172, 174, 198, 
##     201, 212, 210, 206, 205, 199, 201, 205, 197, 188, 183, 171, 
##     198, 185, 178, 179, 175, 162, 132, 125, 133, 141, 162, 155, 
##     167, 172, 165, 187, 182, 178, 185, 195, -175, -172, -176, 
##     -174, -193, -186, -191, -183, -170, -175, -201, -210, -210, 
##     -206, -206, -209, -219, -220, -219, -215, -211, -213, -218, 
##     -203, -196, -189, -187, -189, -186, -191, -190, -178, -176, 
##     -180, -176, -171, -170, -171, -197, -185, -180, -159, -160, 
##     -179, -176, -190, -197, -204, -208, -207, -209, -211, -236, 
##     -233, -232, -228, -218, -211, -216, -217, -221, -225, -232, 
##     -235, -228, -232, -225, -228, -220, -220, -221, -218, -221, 
##     -222, -222, -227, -224, -226, -224, -226, -230, -231, -231, 
##     -226, -225, -222, -219, -216, -214, -214, -212, -206, -207, 
##     -211, -207, -190, -185, -178, -178, -184, -181, -177, -179, 
##     -180, -181, -172, -168, -163, -189, -188, -199, -205, -202, 
##     -190, -187, -186, -188, -184, -188, -194, -199, -195, -178, 
##     -179, -185, -164, -160, -170, -149, -167, -179, -174, -176, 
##     -176, -181, -185, -192, -201, -202, -202, -205, -190, -183, 
##     -174, -172, -170, -185, -203, -204, -199, -188, -190, -201, 
##     -186, -176, -167, -160, -167, -177, -169, -169, -179, -193, 
##     -198, -204, -192, -191, -189, -188, -193, -202, -195, -196, 
##     -190, -189, -191, -190, -191, -185, -186, -183, -177, -183, 
##     -193, -196, -198, -183, -164, -186, -163, -177, -180, -172, 
##     -156, -160, -170, -173, -170, -175, -197, -188, -186, -179, 
##     -170, -167, -170, -170, -179, -182, -188, -190, -188, -192, 
##     -189, -184, -189, -188, -188, -194, -181, -157, -152, -181, 
##     -190, -207, -190, -169, -180, -185, -190, -183, -191, -186, 
##     -183, -176, -177, -178, -158, -146, -145, -144, -154, -163, 
##     -172, -187, -212, -202, -186, -183, -182, -189, -179, -175, 
##     -173, -166, -185, -174, -179, -170, -163, -181, -192, -193, 
##     -197, -189, -190, -188, -195, -192, -192, -209, -208, -208, 
##     -194, -195, -190, -175, -181, -181, -179, -182, -190, -168, 
##     -171, -173, -173, -184, -179, -175, -164, -173, -171, -189, 
##     -169, -184, -218, -233, -219, -205, -190, -182, -179, -187, 
##     -204, -207, -194, -146, -135, -142, -148, -156, -153, -144, 
##     -168, -167, -163, -160, -162, -162, -163, -169, -198, -205, 
##     -175, -187, -211, -219, -213, -191, -205, -209, -207, -211, 
##     -179, -158, -176, -194, -144, -141, -114, -130, -145, -149, 
##     -167, -144, -144, -145, -157, -171, -162, -153, -156, -183, 
##     -187, -187, -192, -192, -188, -188, -187, -198, -245, -252, 
##     -235, -216, -213, -191, -185, -166, -184, -145, -123, -144, 
##     -157, -163, -155, -145, -143, -172, -176, -178, -175, -163, 
##     -180, -159, -160, -163, -170, -178, -178, -160, -145, -157, 
##     -155, -164, -157, -170, -207, -229, -216, -216, -216, -216, 
##     -214, -208, -212, -225, -229, -215, -203, -185, -146, -155, 
##     -155, -155, -212, -223, -219, -207, -263, -256, -217, -194, 
##     -200, -213, -222, -219, -211, -199, -207, -191, -160, -151, 
##     -205, -170, -161, -163, -164, -148, -147, -130, -132, -142, 
##     -149, -154, -145, -148, -154, -201, -215, -214, -219, -196, 
##     -209, -229, -243, -254, -220, -220, -214, -215, -224, -204, 
##     -189, -148, -127, -152, -154, -115, -103, -124, -144, -100, 
##     -106, -113, -113, -113, -113, -105, -104, -133, -171, -194, 
##     -209, -213, -224, -228, -233, -247, -232, -232, -232, -232, 
##     -232, -223, -204, -204, -177, -184, -200, -198, -207, -176, 
##     -172, -183, -181, -139, -141, -121, -125, -118, -114, -114, 
##     -122, -115, -147, -157, -170, -164, -165, -216, -210, -193, 
##     -237, -205, -198, -204, -215, -230, -238, -228, -217, -219, 
##     -201, -173, -172, -172, -169, -174, -162, -138, -124, -124, 
##     -128, -126, -119, -130, -129, -131, -133, -127, -131, -140, 
##     -142, -149, -203, -197, -197, -188, -199, -208, -211, -182, 
##     -193, -188, -188, -192, -185, -183, -184, -183, -180, -182, 
##     -184, -184, -183, -182, -186, -182, -180, -180, -186, -187, 
##     -184, -179, -182, -186, -178, -180, -180, -177, -177, -174, 
##     -172, -174, -166, -177, -181, -179, -175, -178, -177, -177, 
##     -173, -172, -179, -179, -172, -172, -170, -178, -177, -179, 
##     -177, -173, -176, -176, -179, -176, -172, -170, -171, -171, 
##     -173, -180, -177, -173, -174, -175, -178, -170, -173, -172, 
##     -169, -170, -172, -175, -174, -179, -175, -172, -178, -177, 
##     -176, -175, -175, -178, -175, -176, -175, -175, -173, -171, 
##     -177, -181, -184, -184, -184, -179, -178, -174, -181, -182, 
##     -179, -180, -184, -183, -178, -177, -176, -178, -178, -180, 
##     -182, -180, -178, -177, -176, -179, -181, -189, -194, -195, 
##     -183, -186, -190, -190, -190, -193, -193, -191, -191, -169, 
##     -168, -180, -185, -183, -181, -177, -182, -182, -181, -187, 
##     -184, -184, -181, -176, -175, -178, -181, -182, -186, -183, 
##     -181, -181, 20, 1, 0, 2, 7, 16, 21, -1, -5, -8, -12, -16, 
##     -13, -3, -5, -4, -2, -14, -11, -21, 29, 38, 36, 0, 4, 12, 
##     9, 2, -3, -3, 1, 0, 4, -15, -15, -14, -11, -14, -17, -14, 
##     -12, -33, -26, -21, -19, -25, -27, -12, 5, 9, 11, 8, -9, 
##     16, 30, 28, 21, 16, 24, 24, 26, 13, 8, 12, 15, 13, 0, 13, 
##     2, 4, -3, 1, -7, 3, 4, 0, -15, -7, -8, -11, -3, -9, -16, 
##     -44, -43, -28, -28, -34, -35, -31, -23, -23, -12, 3, 27, 
##     27, 30, 24, 20, 29, 40, 51, 48, 42, 34, 8, 11, 13, 7, -10, 
##     -15, -19, -24, -19, -15, -14, -13, -7, -1, -5, -13, -22, 
##     -52, -58, -60, -48, -36, -35, -48, -41, -48, -52, -56, -55, 
##     -53, -49, -53, -54, -55, -40, -20, -10, -19, -27, -34, -40, 
##     -39, -22, -9, -4, -3, 1, -3, 0, 2, 1, 2, 4, 4, 5, 8, 9, 7, 
##     5, 2, -1, -5, -5, -9, -9, -10, -9, -14, -16, -19, -18, 12, 
##     15, 12, 15, 17, 21, 18, 23, 28, 24, 21, 39, 32, 45, 27, 35, 
##     36, 41, 44, 43, 29, 10, 6, 8, 5, -11, -4, -6, -10, -7, -5, 
##     -3, -2, -1, 1, 3, 0, -28, -17, -9, 4, 37, 4, 14, 15, 15, 
##     19, 24, 17, 18, 19, 20, 23, 23, 28, 29, 23, 25, 23, 15, 5, 
##     12, -8, 3, 4, -2, 11, 5, -20, -26, -25, -30, -35, -30, -15, 
##     -21, -35, -35, -39, -45, -45, -31, -32, -29, -28, -11, -11, 
##     -18, -33, -51, -42, -27, -19, -18, -11, 5, -11, 1, 1, 4, 
##     13, 17, -2, -5, -8, -6, -3, 9, 14, 9, 8, -1, -3, -2, 2, 12, 
##     16, 16, -20, -23, -29, -31, -35, -13, -11, -41, -35, -24, 
##     -30, -40, -15, -5, 9, 8, 1, -10, -25, -26, -15, 5, 2, 0, 
##     -6, -15, -14, -11, -8, -11, 0, 15, 8, -4, 1, -1, -11, -5, 
##     -26, -36, -43, -36, -36, -36, -39, -30, -21, 8, 10, 13, 18, 
##     15, 14, 21, 22, 16, 12, 10, 8, 11, 16, 15, 8, 8, 0, 14, -6, 
##     7, 7, -4, -14, -1, 9, -10, -12, -10, -4, -16, -15, -13, -11, 
##     4, -2, -3, 1, 8, 6, -1, -6, 9, 18, 20, 21, -37, -40, -54, 
##     -56, -55, -52, -56, -57, -60, -56, -56, -56, -56, -54, -54, 
##     -56, -54, -61, -64, -65, -57, -59, -58, 45, 48, 47, 48, 37, 
##     37, 37, 37, 37, 39, 43, 44, 33, 35, 35, 34, 29, 31, 26, 22, 
##     28, 25, 22, 24, 24, 31, 28, 21, -31, -35, -35, -37, -43, 
##     -56, -56, -18, -4, -3, -7, -8, -15, -21, -33, -27, -29, -27, 
##     -33, -60, -62, -43, -45, -35, -31, -27, -30, -28, -29, -26, 
##     -27, -3, -21, -34, -45, -21, -11, 4, 10, 21, 16, 4, -7, -8, 
##     6, 9, 19, 15, 23, 35, 18, 27, 38, 46, 55, 55, 44, 29, 19, 
##     -32, -48, -39, -36, -25, -25, -28, -25, -25, -18, -17, -10, 
##     -17, -18, -19, -4, -7, -10, 34, 37, 37, 7, -13, 2, 16, 16, 
##     18, 17, 10, 21, 25, 17, 12, 14, 15, 10, 1, -2, 7, 13, 14, 
##     12, 5, 14, 12, -6, 5, 11, 13, 10, 10, 11, 16, 18, 15, 14, 
##     14, 19, 26, 27, 40, 45, 50, 48, 45, 44, 42, 28, 51, 40, 32, 
##     46, 15, 21, 23, 25, 35, 36, 37, 31, 35, 39, 26, 30, 23, 15, 
##     12, 8, 11, 9, 10, 10, 10, 15, 13, 9, 8, 16, 10, 6, 8, 9, 
##     9, 4, 20, 20, 21, 21, 28, 7, 1, 1, 6, 18, 28, 30, 24, 23, 
##     32, 21, 14, 25, 25, 24, 16, 4, 2, 5, 2, 2, 5, 19, 15, 14, 
##     15, 14, 25, 33, 26, 1, -1, -3, -6, -5, -8, -4, 7, 15, -4, 
##     -13, -20, -19, -14, -6, 14, 28, 29, 25, 21, 17, 19, 12, 12, 
##     11, 13, 16, 21, 18, 21, 25, 29, 28, 9, 16, 31, 38, 47, 52, 
##     47, 47, 42, 35, 28, 23, 7, 13, 16, 18, 10, 9, 8, 8, -2, -8, 
##     2, 6, 9, 20, 35, 40, 41, 41, 27, 5, 8, 4, 6, 14, 13, 4, 4, 
##     -12, -44, -49, -51, -38, -20, -17, -21, -16, -5, 0, 6, 7, 
##     -3, -12, -15, -18, -19, -21, -22, -24, -29, -27, -5, -6, 
##     -6, -10, -12, -12, -14, -15, -7, -1, -1, 2, 1, -7, -5, 7, 
##     37, 35, 28, 20, 18, 24, 37, 41, 35, 35, 28, 21, 16, 33, 7, 
##     -7, -14, 7, -17, -15, -11, 1, 12, 5, 10, 19, 36, 29, 55, 
##     55, 55, 69, 60, 50, 53, 65, 61, 58, 57, 59, 69, 52, 46, 28, 
##     30, 27, 6, 2, 0, 1, 16, 18, 21, 24, 19, 14, 5, 11, 46, 54, 
##     53, 36, 11, 2, 30, 20, 5, 0, 3, 30, 39, 35, 13, -7, -15, 
##     -8, -7, -6, -5, -9, -13, -10, 1, 4, 3, 2, 16, 40, 46, 47, 
##     45, 34, 30, 33, 28, 25, 28, 18, 15, 16, 15, 26, 35, 32, 7, 
##     -4, -2, 4, -169, -179, -179, -182, -176, -175, -177, -183, 
##     -183, -181, -186, -182, -185, -181, -184, -177, -182, -180, 
##     -181, -184, -185, -182, -178, -178, -178, -201, -196, -197, 
##     -188, -170, -195, -191, -166, -147, -137, -157, -133, -147, 
##     -167, -171, -176, -177, -178, -200, -201, -187, -211, -204, 
##     -209, -201, -190, -178, -144, -121, -143, -147, -113, -125, 
##     -134, -138, -159, -160, -154, -157, -158, -180, -204, -203, 
##     -198, -211, -238, -248, -218, -206, -206, -193, -193, -193, 
##     -200, -191, -157, -182, -155, -171, -169, -149, -146, -163, 
##     -164, -156, -180, -170, -154, 186, 189, 187, 186, 181, 173, 
##     173, 175, 174, 170, 166, 171, 181, 186, 178, 166, 180, 181, 
##     162, 175, 176, 176, 180, 192, 215, 209, 205, 201, 219, 223, 
##     220, 216, 225, 221, 224, 220, 216, 206, 202, 199, 183, 182, 
##     187, 182, 190, 193, 180, 189, 188, 193, 197, 202, 194, 193, 
##     183, 180, 185, 193, 200, 199, 185, 177, 184, 190, 168, 155, 
##     155, 161, 167, 173, 178, 176, 185, 185, 179, 176, 171, 163, 
##     165, 150, 149, 158, 169, 166, 156, 154, 174, 161, 179, 193, 
##     189, 203, 215, 221, 215, 230, 221, 218, 212, 207, 196, 195, 
##     169, 160, 160, 149, 148, 142, 142, 134, 139, 145, 146, 157, 
##     150, 152, 159, 157, 157, 157, 151, 148, 153, 172, 176, 177, 
##     175, 180, -182, -183, -187, -204, -210, -223, -251, -250, 
##     -222, -208, -225, -230, -237, -201, -201, -174, -158, -160, 
##     -171, -148, -171, -146, -164, -169, -163, -166, -223, -224, 
##     -214, -196, -197, -172, -173, -161, -146, -127, -140, -151, 
##     -145, -149, -169, -170, -168, -176, -186, -186, -193, -197, 
##     -183, -187, -190, -184, -184, -185, -184, -184, -176, -178, 
##     -206, -250, -248, -237, -232, -149, -161, -170, -191, -197, 
##     -191, -191, -194, -189, -185, -182, -173, -171, -176, -190, 
##     -170, -160, -167, -144, -147, -143, -151, -157, -145, -163, 
##     -166, -169, -192, -199, -205, -205, -200, -186, -181, -173, 
##     -179, -184, -190, -195, -201, -201, -205, -211, -189, -172, 
##     -160, -161, -165, -154, -170, -168, -150, -159, -162, -180, 
##     -173, -177, -182, -178, -171, -183, -196, -185, -165, -162, 
##     -164, -166, -170, -186, -196, -204, -203, -203, -197, -194, 
##     -199, -192, -192, 185, 188, 188, 190, 194, 204, 221, 230, 
##     235, 237, 239, 230, 207, 201, 203, 209, 214, 221, 228, 232, 
##     207, 215, 214, 209, 208, 189, 204, 212, 211, 206, 217, 213, 
##     218, 221, 216, 222, 223, 220, 221, 223, 222, -163, -163, 
##     -162, -51, -63, -74, -75, -79, -70, -54, -33, -28, -32, -5, 
##     2, 10, 14, 32, 46, 66, 59, 63, 67, 55, 36, 39, 31, 30, -37, 
##     -37, -29, -16, -10, -26, -34, -33, -36, -37, -25, -22, -25, 
##     -30, -35, -21, -17, -27, -24, -24, -22, -18, -17, -20, -12, 
##     -6, -17, -2, -5, -9, -15, -21, -26, -26, -36, -55, -62, -67, 
##     -64, -58, -56, -51, -50, -39, -35, -32, -28, -28, 4, 26, 
##     52, 71, 65, 55, 60, 58, 55, 41, 17, 5, -5, 5, 1, -8, -9, 
##     -11, -15, -10, -7, -8, -12, -14, -3, -1, -2, 2, -5, -23, 
##     -19, -14, -10, -7, -3, 2, 3, 2, -3, 2, 2, 2, -1, -5, -11, 
##     -11, -11, -12, -11, -16, -25, -45, -47, -39, -38, -47, -45, 
##     -44, -36, -19, -17, -17, -18, -24, -25, -22, -67, -53, -24, 
##     -21, -30, -32, -42, -35, -29, -28, -27, -23, -160, -178, 
##     -165, -159, -191, -193, -209, -212, -212, -211, -215, -214, 
##     -215, -215, -227, -231, -225, -225, -218, -218, -219, -217, 
##     -217, -216, -219, -221, -221, -217, -221, -218, -215, -222, 
##     -215, -217, -216, -215, -216, -214, -217, -218, -217, -221, 
##     -219, -214, -212, -209, -209, -209, -205, -200, -197, -198, 
##     -185, -178, -180, -179, -181, -180, -183, -154, -157, -170, 
##     -193, -204, -212, -213, -201, -192, -194, -198, -204, -212, 
##     -216, -249, -266, -274, -287, -287, -287, -272, -259, -248, 
##     -250, -244, -244, -252, -259, -259, -261, -263, -256, -248, 
##     -227, -228, -202, -187, -175, -141, -137, -137, -118, -145, 
##     -146, -140, -178, -194, -207, -201, -199, -191, -176, -179, 
##     -185, -193, -203, -207, -206, -199, -191, -185, -184, -176, 
##     -188, -200, -209, -211, -208, -210, -200, -205, -203, -202, 
##     -200, -204, -250, -267, -294, -266, -260, -271, -274, -275, 
##     -269, -262, -262, -264, -246, -239, -193, -194, -186, -173, 
##     -170, -178, -179, -175, -177, -172, -174, -174, -168, -180, 
##     -171, -163, -155, -161, -179, -187, -186, -185, -231, -225, 
##     -208, -190, -177, -174, -185, -177, -178, -186, -180, -185, 
##     -164, -161, -179, -190, -186, -192, -188, -186, -177, -196, 
##     -210, -216, -196, -198, -198, -201, -262, -250, -252, -260, 
##     -255, -244, -233, -237, -244, -224, -222, -213, -185, -198, 
##     -187, -175, -174, -144, -154, -145, -141, -143, -153, -161, 
##     -141, -136, -155, -162, -166, -165, -165, -185, -186, -186, 
##     -189, -185, -186, -187, -184, -190, -184, -198, -218, -230, 
##     -239, -250, -278, -293, -270, -257, -251, -258, -248, -236, 
##     -235, -236, -231, -223, -214, -201, -200, -198, -201, -198, 
##     -196, -209, -213, -219, -217, -220, -229, -236, -246, -274, 
##     -266, -267, -265, -262, -252, -246, -242, -238, -233, -228, 
##     -211, -208, -202, -194, -190, -192, -189, -184, -171, -173, 
##     -163, -145, -152, -152, -150, -168, -182, -173, -169, -170, 
##     -163, -168, -177, -186, -186, -182, -178, -172, -166, -180, 
##     -191, -192, -198, -203, -225, -238, -245, -255, -254, -249, 
##     -240, -230, -228, -229, -223, -221, -210, -209, -174, -144, 
##     -116, -110, -121, -122, -169, -199, -206, -219, -212, -210, 
##     -217, -233, -233, -233, -227, -216, -208, -199, -194, -197, 
##     -199, -201, -207, -213, -223, -219, -214, -210, -259, -268, 
##     -266, -243, -226, -230, -230, -229, -227, -211, -188, -182, 
##     -177, -175, -202, -204, -197, -190, -195, -186, -162, -160, 
##     -172, -161, -164, -187, -187, -182, -197, -201, -193, -194, 
##     -225, -236, -227, -216, -212, -205, -187, -180, -174, -174, 
##     -177, -181, -183, -216, -216, -206, -203, -218, -246, -247, 
##     -288, -301, -291, -272, -260, -253, -249, -247, -245, -244, 
##     -230, -228, -219, -206, -201, -201, -194, -183, -173, -174, 
##     -173, -176, -172, -188, -192, -181, -189, -199, -188, -198, 
##     -200, -207, -211, -215, -218, -228, -229, -225, -223, -226, 
##     -218, -223, -220, -217, -216, -214, -219, -219, -220, -224, 
##     -224, -223, -221, -223, -221, -221, -220, -226, -226, -222, 
##     -221, -221, -213, -212, -208, -212, -206, -207, -210, -202, 
##     -196, -196, -192, -196, -201, -203, -204, -204, -200, -198, 
##     -199, -198, -200, -211, -207, -210, -214, -212, -212, -208, 
##     -206, -203, -208, -207, -207, -208, -171, -157, -163, -175, 
##     -186, -187, -186, -187, -180, -181, -186, -180, -181, -182, 
##     -184, -186, -186, -181, -179, -182, -178, -181, -186, -219, 
##     -245, -211, -216, -192, -140, -145, -116, -140, -129, -139, 
##     -137, -115, -111, -122, -148, -153, -166, -183, -190, -176, 
##     -159, -163, -142, -156, -159, -169, -164, -167, -170, -163, 
##     -171, -177, -168, -153, -152, -151, -144, -146, -141, -143, 
##     -144, -127, -98, -108, -130, -139, -177, -195, -322, -410, 
##     -381, -347, -270, -295, -293, -292, -272, -271, -223, -226, 
##     -188, -177, -162, -143, -142, -147, -116, -114, -128, -132, 
##     -164, -157, -149, -164, -185, -193, -201, -183, -176, -156, 
##     -146, -145, -145, -132, -139, -155, -152, -145, -134, -178, 
##     -226, -223, -246, -292, -386, -284, -274, -287, -264, -205, 
##     -138, -119, -93, -111, -96, 25, 23, 29, 53, 49, 41, 50, 55, 
##     56, 58, 46, 36, 27, 27, 26, 22, 23, 17, 12, 13, 6, 10, 8, 
##     14, 20, 5, -4, -1, 0, 1, 4, 3, -8, -28, -17, -19, -25, -17, 
##     -2, -15, -19, -25, 3, 20, 25, 0, -6, -17, -28, -27, -4, 14, 
##     14, 15, 27, 32, 41, 47, 44, 19, 20, 21, 23, 31, 33, 29, 29, 
##     35, 45, 15, 4, 6, 11, 9, -9, -8, -3, 1, 9, 16, 15, 10, 6, 
##     -50, -49, -27, -9, -10, -15, -23, -29, -12, -10, 0, 8, 4, 
##     -6, 0, -2, -2, 6, 11, 5, -6, -9, 1, 7, 16, 18, 33, 18, 19, 
##     29, 26, 40, 14, 22, 14, 4, -14, -12, -19, -12, -10, -7, -6, 
##     7, 15, 11, 10, 7, 11, 11, 10, -10, -22, -31, -28, -25, -15, 
##     -15, -12, -13, -22, -22, -25, -26, -26, -24, -26, -26, -29, 
##     -25, -16, 7, 20, 24, 21, 13, 7, 7, 11, 21, 25, 30, 26, 23, 
##     24, 22, 18, 25, 31, 34, 25, 11, 1, -9, -19, -18, -14, -26, 
##     -45, -51, -58, -59, -56, -44, -47, -39, -32, -31, -29, -30, 
##     -23, -2, -1, 2, 6, 13, 7, 11, 13, 9, 26, 19, 20, 19, 14, 
##     17, 13, 13, 16, 8, 5, -6, -9, 1, 25, 30, 33, 26, 16, -18, 
##     -17, -17, -14, -12, 30, 51, 49, 9, -6, 31, 36, 37, 35, 19, 
##     10, 25, 27, 10, 6, 14, 8, 4, -20, -25, -26, -32, -27, -26, 
##     -32, -31, -27, -29, -27, -25, -28, -16, -13, -17, -5, 1, 
##     23, 27, 15, 23, 34, 30, 48, 44, 23, 18, 31, 13, 11, 8, 9, 
##     22, 30, 34, 30, 27, 20, 16, 9, 9, 9, 11, 11, 10, 3, 7, 10, 
##     29, 34, 43, 53, 48, 41, 36, 19, 12, 4, -12, -20, -28, -59, 
##     -57, -53, -42, -39, -38, -41, -34, -27, -21, -15, -11, -11, 
##     -10, -5, 5, 6, 22, 30, 21, 12, 23, 15, 14, 15, 31, 36, 31, 
##     27, 16, 3, -10, -6, -5, 1, 28, 38, 46, 41, 37, 18, -3, -11, 
##     -18, -15, -1, 55, 47, 35, 21, 21, 24, 22, 17, 21, 34, 69, 
##     90, 75, 32, 6, -2, -18, -29, -33, -34, -25, -19, -9, -24, 
##     -36, -35, -35, -52, -51, -45, -37, -30, -26, -21, 4, 4, 4, 
##     5, 4, -7, -11, -4, 1, -3, -6, 1, 12, 12, 9, 3, 0, 18, 37, 
##     29, 19, 13, 2, -7, -3, 2, 21, 21, 15, 13, 0, 1, -3, -1, 2, 
##     11, -23, -25, -21, -21, -17, 28, 34, 15, -4, -27, -31, -1, 
##     13, 4, -15, -12, -25, -35, -40, -38, -37, -31, -32, -43, 
##     -44, -43, -39, -34, -31, -24, -19, -10, -12, 52, 56, 48, 
##     40, 36, 36, 53, 56, 56, 50, 49, 52, 55, 34, 18, 25, 21, 14, 
##     -5, -7, -10, -14, -8, -8, -9, -27, -38, -42, -40, -42, -47, 
##     -43, -37, -30, -26, -20, -13, -26, -32, -23, -19, -16, -9, 
##     -6, -9, 3, 4, -4, 8, 11, 7, 17, -8, -39, -37, -32, -18, -3, 
##     25, -12, -19, -43, -51, -57, -50, -37, 12, 26, 24, 10, 3, 
##     -2, -3, 7, 9, 3, 12, 7, 0, -11, -36, -44, -47, -27, -26, 
##     -25, -29, -35, -32, -24, -19, -34, -22, -12, 7, 38, 44, 43, 
##     14, 28, 26, 20, 20, 16, 12, -4, -12, -12, 10, -3, -27, -28, 
##     -35, -28, -16, -1, -2, 1, 20, 18, -12, -18, -32, -49, -48, 
##     -51, -52, -21, -13, 14, 24, 25, 25, 6, 2, -17, -16, -19, 
##     -31, -41, -46, -50, -50, -47, -40, -38, -33, -32, -21, -15, 
##     -15, -8, -4, 2, 5, -1, 4, 10, 5, 17, 29, 35, 8, -17, -19, 
##     10, 28, 36, 26, 8, 9, 9, 9, 21, 23, 30, 35, 38, 41, 41, 36, 
##     17, 10, 13, 12, 10, 14, 34, 43, 62, 63, 37, 45, 14, -8, -39, 
##     -34, -24, -29, -30, -37, -46, -63, -58, -18, -14, -14, -19, 
##     -19, -19, -9, -6, -4, 13, 26, 29, 38, 47, 25, -6, -14, -3, 
##     1, -8, 0, 3, 8, 17, 24, 7, 5, -1, -7, 13, 200, 206, 203, 
##     202, 198, 196, 197, 201, 205, 199, 202, 205, 205, 208, 210, 
##     213, 212, 210, 202, 201, 198, 194, 199, 198, 201, 203, 200, 
##     199, 206, 202, 201, 204, 202, 201, 196, 198, 199, 199, 198, 
##     186, 185, 182, 179, 174, 159, 163, 166, 161, 154, 144, 138, 
##     159, 164, 177, 184, 180, 165, 169, 173, 188, 186, 195, 176, 
##     171, 165, 167, 167, 146, 149, 133, 118, 129, 123, 100, 136, 
##     132, 134, 128, 132, 137, 146, 150, 154, 166, 176, 179, 174, 
##     183, 127, 144, 144, 148, 183, 203, 194, 186, 196, 197, 194, 
##     201, 198, 193, 194, 181, 185, 174, 153, 149, 142, 140, 126, 
##     123, 152, 157, 160, 148, 141, 145, 137, 139, 138, 143, 146, 
##     145, 142, 163, 167, 169, 173, 192, 199, 192, 191, 176, 172, 
##     171, 189, 203, 191, 201, 191, 198, 182, 172, 173, 160, 153, 
##     147, 147, 145, 160, 153, 146, 156, 154, 153, 154, 161, 166, 
##     165, 157, 159, 154, 165, 172, 180, 188, 193, 176, 180, 185, 
##     192, 198, 196, 195, 188, 184, 184, 184, 185, 177, 177, 173, 
##     167, 160, 147, 160, 147, 142, 158, 170, 169, 176, 171, 170, 
##     165, 160, 159, 160, 155, 158, 161, 170, 171, 177, 162, 167, 
##     170, 193, 203, 196, 190, 202, 201, 188, 174, 180, 167, 172, 
##     165, 166, 156, 164, 160, 162, 169, 168, 166, 174, 190, 193, 
##     191, 190, 186, 187, 184, 180, 192, 196, 201, 213, 206, 204, 
##     209, 203, 199, 184, 171, 168, 163, 184, 185, 186, 188, 186, 
##     189, 171, 183, 174, 174, 171, 160, 161, 161, 166, 184, 189, 
##     182, 177, 188, 192, 185, 181, 197, 203, 190, 183, 191, 185, 
##     181, 183, 184, 197, 204, 200, 201, 199, 204, 197, 190, 183, 
##     173, 170, 173, 175, 181, 181, 180, 178, 172, 170, 175, 176, 
##     174, 186, 181, 183, 193, 179, 189, 198, 193, 207, 207, 221, 
##     220, 206, 216, 224, 214, 209, 208, 205, 212, 217, 225, 227, 
##     226, 228, 231, 234, 224, 225, 221, 188, 164, 157, 157, 166, 
##     169, 175, 173, 174, 175, 166, 172, 160, 168, 178, 177, 169, 
##     180, 183, 175, 187, 175, 174, 177, 181, 179, 188, 199, 199, 
##     203, 203, 199, 195, 196, 193, 224, 228, 225, 224, 222, 214, 
##     212, 218, 217, 218, 223, 227, 233, 231, 215, 222, 227, 230, 
##     228, 229, 238, 231, 231, 229, 228, 224, 225, 227, 226, 227, 
##     226, 228, 229, 229, 226, 226, 227, 226, 227, 230, 226, 224, 
##     227, 223, 224, 223, 226, 222, 215, 221, 218, 218, 222, 231, 
##     229, 225, 214, 208, 198, 194, -178, -180, -175, -176, -180, 
##     -179, -181, -181, -178, -181, -177, -177, -177, -174, -179, 
##     -176, -175, -176, -177, -177, -179, -180, -179, -180, -180, 
##     -182, -182, -183, -183, -179, -181, -181, -192, -180, -174, 
##     -176, -186, -177, -183, -186, -185, -187, -167, -133, -108, 
##     -100, -139, -133, -130, -134, -138, -196, -208, -216, -210, 
##     -230, -224, -210, -201, -199, -221, -183, -177, -185, -147, 
##     -128, -150, -159, -112, -95, -82, -76, -73, -119, -118, -118, 
##     -118, -101, -100, -139, -127, -150, -195, -195, -203, -204, 
##     -209, -217, -225, -243, -221, -222, -222, -227, -227, -244, 
##     -244, -254, -256, -235, -224, -232, -216, -187, -175, -188, 
##     -131, -132, -161, -186, -155, -116, -108, -56, -59, -92, 
##     -104, -110, -117, -118, -117, -116, -145, -158, -165, -176, 
##     -194, -196, -195, -211, -221, -221, -187, -202, -212, -226, 
##     -217, -222, -189, -193, -163, -146, -162, -135, -107, -147, 
##     -129, -202, -127, -83, -72, -75, -80, -88, -112, -112, -127, 
##     -141, -148, -142, -137, -140, -140, -154, -163, -159, -215, 
##     -230, -223, -225, -205, -205, -208, -209, -201, -202, -177, 
##     -201, -127, -162, -177, -130, -122, -157, -154, -115, -105, 
##     -88, -120, -133, -129, -123, -125, -126, -168, -219, -233, 
##     -233, -207, -205, -201, -201, -197, -196, -187, -165, -168, 
##     -114, -101, -159, -144, -171, -154, -159, -189, -154, -148, 
##     -125, -101, -78, -86, -98, -107, -109, -124, -136, -129, 
##     -120, -107, -125, -137, -139, -144, -144, -148, -161, -165, 
##     -161, -169, -200, -221, -218, -218, -218, -218, -217, -212, 
##     -203, -191, -196, -190, -195, -215, -206, -180, -198, -175, 
##     -146, -134, -146, -160, -136, -179, -177, -114, -90, -73, 
##     -41, -45, -61, -104, -103, -119, -125, -133, -138, -173, 
##     -178, -188, -192, -210, -232, -231, -219, -216, -233, -226, 
##     -211, -218, -220, -201, -185, -163, -150, -132, -135, -178, 
##     -140, -133, -107, -88, -76, -67, -75, -80, -100, -142, -131, 
##     -101, -103, -73, -72, -64, -94, -110, -118, -119, -118, -124, 
##     -143, -141, -136, -166, -147, -207, -209, -236, -242, -247, 
##     -234, -214, -207, -201, -199, -171, -156, -180, -188, -138, 
##     -120, -128, -140, -125, -99, -134, -178, -144, -119, -124, 
##     -118, -124, -151, -161, -168, -166, -172, -185, -192, -178, 
##     -170, -168, -170, -166, -166, -167, -166, -165, -163, -163, 
##     -166, -170, -168, -170, -169, -176, -174, -171, -172, -173, 
##     -172, -172, -173, -167, -165, -160, -161, -162, -165, -164, 
##     -169, -168, -166, -165, -168, -168, -168, -169, -165, -166, 
##     -163, -169, -171, -169, -6, -6, -21, -29, -36, -39, -44, 
##     -46, -36, -20, -6, -5, -2, -7, -13, 7, 10, 28, 33, 27, 23, 
##     19, 14, 15, 18, 20, 16, 20, 18, 15, 14, 17, 15, 8, 6, -2, 
##     -5, -12, -12, -7, -2, 13, 1, -6, -4, -3, -6, 1, 0, -3, -1, 
##     -6, -13, -15, -16, -17, -21, -21, -20, -18, -20, -19, -17, 
##     -16, -21, -20, -13, -9, -19, -25, -21, -27, -23, -19, -16, 
##     -18, 10, 7, 10, 9, 4, 2, 12, 15, 18, 17, 3, 11, 9, 15, 18, 
##     19, 22, 31, 17, 21, 25, 12, 1, 3, 9, 1, 20, 28, 30, 18, 9, 
##     5, 0, 2, 19, 0, -15, -14, -15, -14, -16, -14, -5, 5, 0, -8, 
##     -17, -27, -39, -31, -26, -18, -12, -3, -5, -1, 4, 4, 10, 
##     21, 27, 25, 26, 26, 23, 23, 21, 19, 18, 21, 19, 28, 24, 8, 
##     15, 22, 16, 17, 11, 14, 18, 6, 7, 6, 2, -5, -7, -13, -19, 
##     -31, -31, -24, -23, -21, -23, -26, -26, -25, -27, -21, -17, 
##     -27, -20, -15, -23, -28, -30, -28, -26, -42, -20, -11, 5, 
##     7, 3, 2, -2, -4, -2, 11, 17, 22, 23, 11, 11, 8, 5, -1, 3, 
##     11, 23, 24, 18, 21, 26, 16, 10, 21, 30, 35, 31, -19, -18, 
##     -21, -23, -21, -21, -19, -27, -25, -25, -30, -33, -37, -37, 
##     -39, -28, -39, -40, -35, -37, -37, -23, -20, 11, 10, 19, 
##     12, 3, 9, -4, 11, 4, 20, 16, -9, -13, -18, -2, -2, -6, -14, 
##     -21, -27, -30, -35, -32, -30, -28, -28, -29, -31, -32, -14, 
##     -17, -20, -30, -21, -32, -37, -49, -36, -21, -18, -20, -21, 
##     -8, -5, -11, -13, -12, -9, -7, 0, 2, 3, 2, -1, 4, 3, -4, 
##     -6, -3, -2, -12, -13, -11, -6, -2, 1, 9, 32, 51, 78, 91, 
##     97, 85, 43, 31, 19, -13, -23, -18, -12, -3, -8, -16, -19, 
##     -21, -21, -22, -19, -18, -14, -15, -12, 1, 15, 20, 23, 20, 
##     18, 13, -10, -9, -10, -9, -9, -5, -5, -4, -6, -5, -10, -13, 
##     -16, -29, -37, -39, -44, -51, -46, -43, -42, -41, -37, -39, 
##     -42, -45, -42, -41, -44, -49, -53, -53, -53, -58, -60, -58, 
##     -51, -49, -49, -47, -35, -32, -1, -3, -20, -25, -19, -21, 
##     -22, -35, -37, -34, -16, -8, -13, -16, -19, -15, -5, -1, 
##     2, -1, -8, -18, -23, -27, -30, -38, -54, -58, -47, -45, -49, 
##     -41, -40, -37, -33, -30, -30, -27, -24, -21, -19, 15, 2, 
##     -7, -19, -28, 1, 4, 4, 108, 79, 10, -97, -66, -41, -29, -9, 
##     -5, -20, -14, -16, -12, 1, -15, -10, 8, 7, 9, 23, 29, 30, 
##     34, 46, 49, 44, 47, 44, 20, 26, 18, 19, -22, -23, -28, -29, 
##     -36, -44, -45, -50, -51, -51, -54, -56, -57, -54, -53, -46, 
##     -45, -47, -42, -42, -39, -37, -34, -33, -32, -28, -21, -13, 
##     -14, -17, -17, -18, -19, -26, -32, 4, 2, -4, 7, 8, 15, 14, 
##     8, -4, -5, -6, -1, -139, -112, -167, -186, -233, -242, -246, 
##     -446, -354, -284, -270, -204, -207, -204, -190, -156, -126, 
##     -147, -86, -128, -137, -119, -143, -158, -162, -171, -146, 
##     -148, -163, -171, -172, -170, -133, -139, -106, -117, -121, 
##     -142, -151, -165, -164, -170, -146, -136, -123, -125, -120, 
##     -111, -110, -123, -122, -132, -135, -140, -149, -162, -174, 
##     -193, -201, -229, -231, -251, -341, -322, -302, -285, -263, 
##     -251, -216, -175, -173, -165, -130, -146, -111, -146, -158, 
##     -135, -99, -121, -100, -137, -152, -179, -167, -159, -160, 
##     -156, -173, -178, -174, -159, -160, -152, -153, -148, -146, 
##     -136, -127, -110, -129, -187, -204, -242, -245, -262, -306, 
##     -367, -348, -320, -270, -266, -257, -228, -208, -166, -103, 
##     -102, -119, -106, -165, -165, -167, -145, -148, -140, -129, 
##     -127, -179, -188, -195, -199, -191, -188, -185, -121, -131, 
##     -131, -126, -135, -144, -143, -167, -147, -141, -146, -133, 
##     -97, -156, -186, -194, -199, -183, -149, -124, -121, -131, 
##     -94, -122, -161, -155, -157, -143, -135, -124, -114, -125, 
##     -151, -177, -185, -182, -189, -191, -173, -171, -163, -157, 
##     -149, -147, -143, -139, -140, -138, -139, -134, -116, -233, 
##     -246, -268, -343, -368, -334, -303, -269, -245, -250, -177, 
##     -158, -142, -144, -144, -164, -142, -317, -295, -278, -218, 
##     -154, -158, -162, -157, -139, -141, -84, -79, -94, -107, 
##     -171, -195, -194, -192, -193, -188, -188, -167, -167, -167, 
##     -160, -161, -162, -166, -167, -164, -157, -156, -160, -159, 
##     -163, -168, -164, -161, -163, -166, -168, -169, -168, -170, 
##     -167, -168, -168, -166, -165, -161, -160, -160, -159, -161, 
##     -161, -164, -162, -158, -164, -167, -171, -171, -170, -167, 
##     -159, -159, -159, -156, -155, -155, -159, -161, -163, -164, 
##     -162, -161, -167, -163, -170, -170, -168, -168, -163, -170, 
##     -171, -171, -179, -179, -176, -174, -8, 1, 1, 0, -22, 2, 
##     3, 60, 31, 45, 38, 19, 39, 43, 40, 34, 23, -1, 3, 9, 30, 
##     -176, -179, -169, -164, -162, -161, -161, -157, -162, -164, 
##     -165, -167, -167, -166, -165, -162, -173, -171, -165, -165, 
##     -166, -166, -166, -163, -168, -127, -135, -133, -133, -136, 
##     -140, -143, -138, -143, -180, -193, -194, -194, -207, -214, 
##     -242, -225, -219, -240, -249, -251, -232, -238, -229, -214, 
##     -198, -115, -126, -125, -118, -123, -133, -149, -145, -145, 
##     -151, -151, -152, -170, -192, -211, -226, -240, -240, -235, 
##     -218, -252, -237, -223, -183, -153, -131, -187, -170, -182, 
##     -175, -169, -196, -192, -182, -174, -166, -160, -161, -169, 
##     -171, -173, -172, -185, -191, -190, -190, -191, -191, -193, 
##     -189, -185, -181, -179, -179, -177, 227, 228, 228, 229, 226, 
##     230, 228, 226, 229, 226, 228, 228, 226, 226, 226, 228, 228, 
##     226, 225, 225, 228, 227, 203, 193, 180, 172, 192, 191, 196, 
##     190, 174, 174, 183, 168, 173, 174, 169, 162, 169, 177, 184, 
##     197, 201, 202, 196, 193, 194, 179, 182, 174, 181, 189, 173, 
##     169, 173, 171, 159, 143, 138, 133, 128, 126, 113, 114, 127, 
##     116, 116, 125, 130, 129, 122, 119, -206, -197, -190, -148, 
##     -159, -197, -183, -104, -116, -136, -150, -155, -158, -161, 
##     -158, -158, -163, -164, -166, -180, -188, -193, -197, -204, 
##     -252, -260, -283, -357, -391, -370, -133, -141, -145, -160, 
##     -154, -171, -191, -209, -225, -215, -242, -298, -315, -297, 
##     -281, -262, -270, -228, -210, -135, -147, -72, -103, -169, 
##     -161, -131, -137, -125, -134, -155, -155, -160, -158, -164, 
##     -189, -192, -266, -371, -359, -266, -275, -221, -133, -113, 
##     -115, -134, -133, -142, -152, -168, -164, -159, -154, -155, 
##     -162, -179, -220, -215, -222, -228, -356, -374, -325, -296, 
##     -281, -263, -236, -205, -183, -148, -139, -121, -121, -109, 
##     -116, -123, -152, -162, -155, -141, -155, -149, -146, -176, 
##     -183, -180, -174, -171, -145, -140, -129, -118, -119, -118, 
##     -137, -184, -206, -183, -178, -160, -171, -191, -201, -222, 
##     -223, -213, -204, -198, -229, -241, -231, -223, -216, -213, 
##     -203, -196, -187, -195, -196, -210, -203, -198, -185, -197, 
##     -210, -216, -222, -227, -252, -294, -282, -266, -240, -243, 
##     -242, -239, -231, -228, -219, -211, -171, -181, -174, -163, 
##     -161, -156, -179, -142, -144, -143, -165, -159, -175, -193, 
##     -194, -199, -195, -197, -192, -190, -181, -177, -170, -175, 
##     -188, -205, -207, -186, -176, -175, -175, -183, -187, -188, 
##     -189, -191, -204, -196, -197, -199, -204, -206, -219, -247, 
##     -257, -267, -287, -302, -281, -264, -255, -256, -246, -245, 
##     -237, -234, 33, 70, 7, 4, 0, -14, -9, -14, -24, -35, -44, 
##     -53, 5, 8, 3, -4, -1, 0, -8, -17, -30, -37, -43, -45, -51, 
##     -52), magnet_forearm_x = c(-17, -18, -18, -16, -17, -9, -18, 
##     -9, -16, -22, -17, -11, -15, -14, -16, -13, -13, -16, -10, 
##     -9, -11, -17, -10, -11, -14, -16, -14, -14, -12, -4, -13, 
##     -19, -15, -14, -15, -9, -17, -18, -11, -16, -11, -14, -13, 
##     -3, -12, -12, -10, -16, -15, -10, -11, -10, -12, -15, -20, 
##     -11, -16, -17, -22, -13, -16, -12, -13, -11, -22, -16, -17, 
##     -13, -10, -17, -13, -15, -7, -6, -6, -5, -10, -10, -9, -5, 
##     -12, -9, -12, -21, -15, -15, -11, -12, -15, -20, -14, -18, 
##     -16, -10, -9, -16, -10, -17, -19, -12, -13, -9, -7, -4, -10, 
##     -9, -7, -12, -12, -10, -10, -11, -17, -7, -7, -12, -10, -4, 
##     -12, -9, -12, -11, -16, -10, -17, -7, -9, -11, -11, -12, 
##     -11, -6, -10, -9, -11, -13, -7, -14, -18, -8, -11, -13, -11, 
##     -4, -6, -9, -8, -12, -14, -8, -7, -8, -4, -8, -7, -12, -12, 
##     -6, -13, -7, -11, -7, -16, -12, -10, -139, -144, -146, -139, 
##     -145, -143, -147, -148, -153, -153, -154, -151, -153, -150, 
##     -155, -153, -148, -149, -151, -151, -148, -150, -150, -148, 
##     -154, -147, -146, -147, -152, -144, -141, -149, -149, -146, 
##     -151, -152, -156, -153, -155, -152, -155, -159, -149, -160, 
##     -153, -154, -159, -163, -156, -154, -152, -157, -152, -153, 
##     -150, -157, -154, -150, -158, -159, -161, -160, -154, -159, 
##     -162, -150, -146, -151, -145, -150, -148, -142, -141, -136, 
##     -135, -136, -134, -132, -127, -135, -129, -133, -128, -131, 
##     -129, -135, -132, -124, -127, -121, -112, -122, -135, -140, 
##     -165, -174, -171, -174, -170, -178, -175, -166, -169, -165, 
##     -157, -156, -159, -150, -142, -138, -128, -132, -128, -125, 
##     -126, -130, -130, -131, -131, -142, -145, -151, -148, -146, 
##     -156, -152, -155, -157, -160, -176, -169, -175, -184, -181, 
##     -186, -182, -180, -177, -176, -165, -169, -166, -172, -169, 
##     -167, -169, -162, -163, -154, -152, -159, -157, -151, -155, 
##     -163, -161, -151, -156, -151, -148, -158, -152, -162, -158, 
##     -163, -157, -164, -162, -156, -154, -162, -170, -160, -160, 
##     -160, -155, -159, -158, -167, -167, -173, -169, -176, -178, 
##     -178, -188, -187, -186, -180, -176, -177, -172, -176, -171, 
##     -178, -170, -160, -168, -167, -172, -165, -163, -166, -158, 
##     -164, -164, -162, -162, -155, -159, -154, -151, -167, -154, 
##     -705, -708, -697, -678, -663, -614, -578, -563, -513, -486, 
##     -480, -459, -465, -493, -504, -540, -557, -612, -624, -688, 
##     -699, -713, -710, -714, -701, -691, -688, -678, -627, -443, 
##     -423, -404, -322, -272, -227, -211, -200, -199, -186, -188, 
##     -185, -185, -193, -195, -206, -218, -274, -285, -309, -327, 
##     -344, -365, -425, -429, -468, -510, -545, -578, -608, -613, 
##     -629, -635, -654, -697, -694, -682, -680, -638, -607, -597, 
##     -537, -520, -472, -461, -451, -457, -482, -527, -539, -556, 
##     -578, -590, -614, -637, -656, -691, -704, -702, -601, -565, 
##     -550, -520, -441, -414, -396, -345, -284, -262, -223, -197, 
##     -176, -147, -126, -134, -140, -150, -152, -162, -191, -217, 
##     -255, -324, -335, -372, -389, -459, -468, -559, -585, -622, 
##     -646, -672, -689, -703, -704, -707, -706, -568, -533, -499, 
##     -468, -454, -430, -413, -391, -324, -294, -274, -238, -229, 
##     -181, -195, -182, -197, -244, -278, -303, -323, -347, -367, 
##     -391, -481, -541, -550, -596, -624, -686, -687, -703, -707, 
##     -664, -516, -485, -465, -431, -380, -399, -420, -445, -455, 
##     -485, -510, -519, -588, -608, -627, -642, -660, -671, -706, 
##     -711, -707, -655, -647, -620, -574, -499, -498, -467, -440, 
##     -426, -400, -387, -283, -267, -262, -245, -242, -235, -233, 
##     -234, -238, -262, -464, -486, -565, -605, -628, -660, -695, 
##     -700, -703, -683, -540, -522, -495, -439, -431, -448, -229, 
##     -227, -232, -243, -306, -334, -415, -449, -483, -501, -528, 
##     -599, -637, -657, -694, -697, -704, -705, -687, -689, -680, 
##     -649, -616, -607, -530, -502, -463, -441, -438, -256, -238, 
##     -243, -252, -257, -301, -360, -378, -395, -418, -532, -564, 
##     -626, -663, -698, -701, -681, -655, -647, -542, -525, -562, 
##     -686, -702, -713, -715, -714, -708, -700, -646, -699, -667, 
##     -651, -631, -613, -571, -513, -517, -521, -526, -591, -627, 
##     -655, -674, -678, -701, -707, -716, -716, -711, -696, -604, 
##     -569, -509, -432, -425, -400, -363, -353, -343, -313, -294, 
##     -270, -265, -253, -241, 598, 603, 623, 629, 634, 639, 644, 
##     637, 637, 633, 624, 630, 621, 622, 620, 614, 618, 619, 615, 
##     625, 630, 627, 633, 643, 655, 646, 653, 653, 661, 651, 649, 
##     643, 641, 640, 632, 636, 642, 630, 622, 634, 635, 645, 643, 
##     651, 643, 647, 651, 646, 649, 649, 655, 651, 659, 656, 661, 
##     649, 659, 657, 647, 640, 644, 650, 638, 648, 648, 656, 652, 
##     654, 656, 659, 650, 657, 651, 649, 641, 647, 645, 640, 651, 
##     649, 657, 653, 654, 656, 660, 655, 648, 647, 645, 648, 646, 
##     645, 648, 653, 657, 656, 648, 648, 654, 654, 650, 651, 655, 
##     650, 653, 651, 655, 657, 655, 658, 656, 658, 656, 649, 660, 
##     656, 655, 653, 649, 653, 654, 660, 661, 652, 649, 640, 642, 
##     648, 647, 656, 656, 655, 657, 655, 650, 652, 653, 654, 655, 
##     660, 659, 647, 659, 660, 663, 654, 657, 659, 655, 654, 652, 
##     655, 661, 657, 655, 661, 658, 650, 652, 646, 656, 644, 651, 
##     648, 651, 658, 656, 651, 642, 654, 652, 644, 657, 653, 644, 
##     651, 645, 644, 652, 651, 660, 658, 660, 658, 659, 654, 649, 
##     655, 656, 653, 646, 657, 652, 644, 642, 646, 647, 650, 650, 
##     651, 649, 655, 655, 655, 649, 639, 631, 634, -601, -566, 
##     -558, -525, -487, -445, -278, -203, -197, -181, -174, -147, 
##     -127, -122, -124, -135, -143, -158, -199, -274, -302, -397, 
##     -403, -487, 632, 642, 643, 650, 650, 644, 649, 647, 650, 
##     644, 645, 644, 639, 638, 631, 628, 592, 380, 344, 264, 322, 
##     230, 197, 146, 130, 108, 70, 68, 53, 27, 32, 106, 114, 65, 
##     59, 43, -7, -123, -163, -183, -191, -153, -119, -115, 564, 
##     600, 617, 646, 639, 648, 640, 617, 607, 601, 597, 601, 613, 
##     609, 610, 609, 603, 606, -118, -122, -118, -124, -124, -130, 
##     -142, -147, -153, -162, -162, -164, -167, -164, -153, -151, 
##     -112, -117, -113, -108, -99, -107, -109, -112, -134, -149, 
##     -175, -185, -191, -185, -180, -140, -121, -114, -113, -116, 
##     -118, -114, -132, -143, -146, -145, -133, -144, -138, -123, 
##     -114, -107, -116, -114, -117, -118, -108, -112, -110, -113, 
##     -112, -112, -112, -131, -124, -128, -120, -113, -114, -120, 
##     -128, -128, -125, -132, -134, -133, -141, -182, -166, -150, 
##     -123, -122, -133, -139, -136, -138, -139, -136, -138, -135, 
##     -150, -143, -146, -153, -143, -153, -149, -153, -162, -160, 
##     -163, -162, -164, -167, -159, -165, -160, -167, -168, -174, 
##     -174, -168, -175, -175, -176, -178, -180, -178, -182, -182, 
##     -188, -196, -201, -208, -224, -219, -243, -255, -258, -271, 
##     -268, -276, -273, -267, -258, -228, -218, -223, -214, -201, 
##     -185, -186, -168, -153, -149, -142, -137, -118, -120, -95, 
##     -85, -80, -73, -85, -87, -88, -86, -87, -87, -40, -42, -42, 
##     -31, -30, -27, -35, -34, -31, -40, -26, -39, -36, -38, -42, 
##     -50, -58, -59, -59, -65, -52, -55, -43, -50, -52, -62, -56, 
##     -58, -58, -61, -59, -53, -66, -58, -62, -51, -41, -33, -48, 
##     -47, -63, -77, -85, -96, -106, -131, -178, -198, -262, -313, 
##     -332, -375, -451, -491, -606, -630, -651, -659, -670, -691, 
##     -653, -666, -674, -685, -695, -699, -702, -692, -682, -679, 
##     -680, -669, -667, -645, -608, -589, -582, -562, -546, -532, 
##     -521, -516, -460, -428, -413, -388, -319, -295, -264, -171, 
##     -173, -159, -157, -155, -135, -127, -123, -121, -121, -113, 
##     -120, -115, -111, -108, -103, -105, -100, -103, -113, -113, 
##     -133, -160, -209, -257, -303, -429, -453, -567, -639, -646, 
##     -666, -671, -685, -689, -695, -687, -681, -674, -670, -652, 
##     -646, -596, -597, -584, -646, -628, -615, -584, -572, -518, 
##     -488, -423, -398, -375, -328, -312, -293, -264, -245, -238, 
##     -212, -212, -191, -187, -177, -174, -168, -166, -148, -141, 
##     -132, -118, -113, -106, -94, -96, -101, -89, -92, -107, -231, 
##     -249, -263, -299, -413, -549, -566, -591, -626, -633, -660, 
##     -681, -693, -701, -703, -678, -661, -637, -630, -624, -619, 
##     -613, -610, -607, -591, -587, -586, -575, -567, -558, -550, 
##     -542, -539, -548, -543, -551, -577, -590, -603, -607, -638, 
##     -657, -665, -681, -689, -704, -711, -704, -708, -698, -691, 
##     -632, -603, -579, -526, -506, -487, -456, -436, -395, -356, 
##     -319, -252, -245, -223, -211, -196, -187, -158, -152, -139, 
##     -108, -106, -106, -107, -101, -99, -99, -94, -91, -85, -79, 
##     -85, -95, -89, -96, -138, -146, -178, -220, -279, -299, -363, 
##     -385, -442, -502, -606, -639, -651, -677, -702, -708, -695, 
##     -698, -694, -676, -652, -649, -646, -617, -593, -589, -588, 
##     -593, -590, -584, -584, -599, -597, -610, -609, -621, -625, 
##     -627, -654, -672, -685, -686, -698, -704, -703, -700, -684, 
##     -678, -664, -639, -607, -598, -539, -484, -475, -460, -446, 
##     -420, -388, -379, -345, -254, -243, -217, -190, -170, -159, 
##     -139, -124, -107, -96, -80, -84, -82, -87, -82, -81, -93, 
##     -124, -213, -259, -279, -318, -323, -385, -425, -530, -591, 
##     -687, -699, -697, -703, -712, -706, -696, -694, -690, -669, 
##     -643, -583, -450, -441, -389, -358, -275, -273, -244, -215, 
##     -197, -162, -136, -122, -118, -115, -112, -110, -108, -108, 
##     -101, -93, -96, -98, -110, -121, -187, -212, -320, -350, 
##     -408, -513, -535, -568, -583, -631, -654, -665, -677, -692, 
##     -702, -714, -706, -707, -682, -668, -655, -632, -627, -619, 
##     -610, -596, -589, -553, -545, -544, -534, -541, -540, -536, 
##     -536, -531, -535, -536, -535, -539, -550, -553, -578, -601, 
##     -705, -708, -697, -703, -688, -679, -663, -665, -615, -600, 
##     -567, -539, -529, -510, -450, -433, -419, -394, -381, -358, 
##     -617, -601, -599, -568, -558, -557, -552, -547, -542, -545, 
##     -543, -541, -535, -534, -539, -533, -540, -539, -540, -534, 
##     -541, -543, -540, -550, -554, -560, -565, -567, -589, -607, 
##     -630, -648, -661, -666, -444, -451, -457, -457, -463, -461, 
##     -455, -462, -461, -446, -456, -455, -457, -454, -454, -462, 
##     -461, -462, -460, -464, -467, -458, -464, -462, -455, -455, 
##     -454, -454, -457, -457, -457, -451, -454, -446, -451, -457, 
##     -447, -452, -457, -456, -456, -465, -450, -452, -457, -456, 
##     -459, -457, -466, -461, -462, -459, -457, -462, -465, -458, 
##     -467, -463, -459, -461, -457, -459, -458, -457, -454, -463, 
##     -461, -460, -460, -458, -457, -466, -463, -462, -466, -462, 
##     -462, -457, -469, -471, -477, -478, -482, -494, -492, -491, 
##     -494, -495, -491, -499, -492, -501, -511, -505, -517, -519, 
##     -516, -518, -514, -517, -519, -520, -521, -521, -523, -523, 
##     -519, -505, -499, -471, -440, -295, 254, 322, 572, 588, 598, 
##     601, 601, 532, 503, 402, 376, 357, 303, 296, 280, 283, 298, 
##     312, 319, 363, 402, 414, 435, 448, 470, 472, 485, 482, 491, 
##     485, 469, 452, 425, 390, 208, 95, 44, 30, -121, -158, -203, 
##     -280, -307, -324, -338, -368, -421, -459, -467, -520, -523, 
##     -534, -541, -542, -559, -575, -585, -591, -599, -600, -599, 
##     -594, -549, -535, -508, -389, -275, -101, 211, 307, 411, 
##     462, 490, 596, 621, 625, 629, 614, 592, 582, 550, 500, 457, 
##     444, 401, 379, 325, 255, 183, 119, 118, 135, 446, -589, -589, 
##     -592, -599, -605, -608, -608, -609, -600, -589, -555, -500, 
##     -478, -436, -410, -258, -188, -128, -5, 128, 171, 232, 331, 
##     386, 415, 456, 539, 552, 554, 536, 503, 433, 414, 357, 256, 
##     239, 176, 194, 203, 206, 217, 242, 246, 315, 348, 386, 399, 
##     438, 438, 441, 426, 421, 376, 365, 303, 253, 200, -703, -702, 
##     -697, -697, -696, -676, -647, -548, -422, -392, -298, -172, 
##     44, 89, 268, 488, 550, 569, 566, 545, 380, 264, 176, 112, 
##     108, 112, 156, 201, 214, 248, 307, 344, 441, 484, 480, 299, 
##     225, 147, 76, 40, -149, -222, -253, -342, -459, -518, -543, 
##     455, 416, 381, 268, 214, 94, 69, 18, 1, -186, -277, -310, 
##     -382, -441, -491, -512, -571, -603, -622, -624, -622, -658, 
##     -657, -665, -672, -684, -678, -662, -650, -636, -590, -562, 
##     -393, -317, -40, 60, 207, 336, 414, 442, 495, 599, 604, 617, 
##     619, 566, 464, 403, 358, 240, 221, 198, 185, 176, 180, 194, 
##     217, 245, 258, 285, 297, 371, 433, 508, 479, 419, 351, 274, 
##     133, 7, -103, -186, -261, -279, -398, -435, -457, -502, -562, 
##     -600, -660, -663, -681, -697, -718, -719, -711, -712, -713, 
##     -710, -711, -710, -713, -708, -697, -653, -640, -616, -593, 
##     -488, -463, -367, -169, -47, 51, 97, 329, 557, 582, 606, 
##     620, 637, 585, 495, 442, 414, 239, 172, 153, 171, 180, 203, 
##     241, 291, 400, 419, 460, 503, 549, 560, 571, 572, 580, 581, 
##     573, -684, -685, -670, -655, -636, -597, -389, -158, -30, 
##     49, 200, 286, 389, 453, 490, 544, 568, 624, 618, 611, 580, 
##     542, 513, 451, 428, 348, 299, 238, 207, 228, 338, 428, 487, 
##     515, 527, 536, 549, 550, 544, 476, 56, -43, -101, -128, -288, 
##     -615, -661, -668, -675, -680, -683, -690, -685, -684, -678, 
##     -659, -636, -616, -595, -556, -521, -454, -415, -332, -307, 
##     -243, -53, -10, 75, 266, 367, 440, 502, 548, 574, 574, 559, 
##     547, 521, 477, 463, 381, 356, 319, 305, 263, 304, 372, 444, 
##     520, 492, 441, 349, 305, 283, 250, 206, 71, 49, -9, -96, 
##     -261, -360, -376, -427, -585, -629, -674, -744, -788, -831, 
##     -829, -836, -843, -837, -848, -851, -844, -852, -737, -698, 
##     -218, -121, -66, 482, 372, 341, 292, 284, 312, 325, 358, 
##     371, 431, 468, 512, 514, 504, 479, 460, 440, 407, 392, 355, 
##     332, 208, 163, 125, 13, -107, -200, -220, -252, -269, -355, 
##     -430, 136, 140, 126, 127, 138, 133, 126, 131, 146, 142, 143, 
##     141, 137, 143, 136, 137, 136, 132, 138, 147, 148, 147, 142, 
##     141, 135, 143, 134, 137, 130, 124, 128, 131, 125, 127, 131, 
##     128, 125, 130, 131, 132, 128, 135, 130, 133, 127, 132, 133, 
##     129, 130, 131, 131, 134, 130, 134, 133, 133, 132, 138, 130, 
##     137, 137, 132, 133, 132, 135, 136, 130, 133, 129, 136, 129, 
##     128, 127, 132, 137, 132, 128, 135, 132, 130, 133, 136, 134, 
##     131, 129, 123, 131, 132, 127, 133, 132, 123, 129, 131, 131, 
##     135, 123, 130, 129, 127, 129, 134, 131, 131, 130, 130, 137, 
##     132, 131, 135, 139, 141, 139, 136, 135, 132, 140, 131, 134, 
##     135, 131, 130, 126, 132, 136, 135, 136, 128, 132, 135, 135, 
##     135, 135, 129, 128, 131, 131, 138, 139, 128, 136, 137, 130, 
##     138, 136, 139, 136, 132, 137, 139, 136, 137, 138, 140, 135, 
##     137, 140, 126, 129, 132, 123, 129, 128, 135, 129, 128, 128, 
##     128, 142, 132, 133, 127, 135, 130, 131, 133, 127, 131, 138, 
##     136, 133, 135, 129, 132, 135, 131, 131, 130, 135, 130, 131, 
##     136, 132, 130, 135, 128, 134, 136, 127, 130, 125, 128, 128, 
##     128, 126, 133, 133, 129, 126, 129, 128, 130, 130, 127, 131, 
##     128, 136, 130, 136, 137, 130, 125, 126, 127, 125, 127, 134, 
##     133, 133, 129, 126, 128, 128, 123, 129, 127, 130, 129, 131, 
##     125, 131, 129, 131, 128, 127, 127, 129, 137, 132, 128, 132, 
##     127, 126, 122, 124, 125, 125, 123, 136, 128, 131, 126, 123, 
##     125, 125, 136, 139, 133, 129, 127, 126, 126, 119, 122, 124, 
##     116, 120, 120, 118, 114, 117, 118, 115, 119, 119, 121, 124, 
##     119, 123, 117, 117, 117, 124, 125, 119, 124, 118, 116, 120, 
##     117, 125, 122, 120, 110, 113, 112, 116, 119, 122, 119, 127, 
##     126, 125, 128, 127, 131, 128, 124, 125, 127, 124, 127, 125, 
##     121, 124, 126, 128, 125, 132, 127, 119, 110, 118, 113, 114, 
##     114, 114, 116, 125, 125, 117, 118, 117, 111, 116, 110, 114, 
##     116, 116, 116, 120, 117, 117, 118, -7, -5, -10, -13, -13, 
##     -7, -12, -10, -7, -10, -10, -10, -14, -5, -9, -12, -13, -7, 
##     -12, -15, -13, -13, -12, -2, -4, -1, -5, -7, -1, -7, -4, 
##     -8, -12, -5, -9, -3, 1, -3, -2, -4, -3, -4, -1, -4, -6, -8, 
##     -8, -1, -5, -2, -6, -7, 2, -1, -4, -4, -4, -3, -1, -7, -10, 
##     -8, -4, -5, -12, -5, -7, -5, -10, -11, -7, -6, -4, -10, -15, 
##     -10, -12, -8, -8, -9, -8, -9, -14, -6, -3, -6, -11, -11, 
##     -8, -10, -11, -9, -10, -12, -8, -8, -11, -13, -11, -11, -13, 
##     -11, -15, -9, -8, -12, -6, -8, -12, -11, -13, -18, -5, -2, 
##     -3, -8, -10, -4, -7, -1, -4, -11, -6, -8, -9, -5, -7, -9, 
##     -12, -15, -14, -5, -9, -13, -10, -2, -8, -12, -12, -11, -12, 
##     -11, -13, -13, -19, -15, -9, -16, -20, -19, -21, -5, -14, 
##     -13, -16, -12, -19, -14, -16, -15, -15, -17, -16, -16, -15, 
##     -14, -20, -17, -16, -21, -20, -15, -23, -23, -18, -23, -23, 
##     -22, -23, -22, -27, -24, -28, -18, -22, -28, -26, -25, -24, 
##     -20, -22, -30, -28, -20, -23, -29, -23, -26, -29, -38, -35, 
##     -42, -39, -37, -42, -44, -45, -49, -58, -73, -71, -77, -113, 
##     -119, -185, -196, -212, -242, -265, -286, -297, -364, -417, 
##     -430, -450, -473, -512, -534, -560, -576, -629, -689, -694, 
##     -691, -682, -661, -640, -614, -549, -487, -464, -396, -360, 
##     -276, -253, -232, -224, -200, -198, -210, -230, -236, -249, 
##     -259, -271, -277, -293, -308, -335, -342, -359, -390, -432, 
##     -448, -474, -505, -598, -641, -648, -663, -681, -685, -682, 
##     -686, -682, -680, -671, -634, -592, -536, -478, -457, -426, 
##     -386, -282, -270, -230, -211, -182, -162, -129, -117, -112, 
##     -99, -90, -91, -88, -96, -99, -103, -124, -136, -151, -175, 
##     -183, -293, -422, -463, -504, -538, -592, -640, -694, -692, 
##     -682, -679, -657, -653, -604, -435, -396, -318, -305, -262, 
##     -268, -287, -397, -415, -434, -453, -501, -527, -578, -599, 
##     -630, -670, -695, -700, -697, -685, -662, -652, -628, -574, 
##     -560, -536, -497, -467, -452, -410, -385, -307, -277, -237, 
##     -220, -167, -142, -179, -180, -208, -285, -335, -391, -511, 
##     -537, -626, -664, -687, -702, -678, -624, -585, -570, -535, 
##     -498, -359, -338, -312, -305, -343, -361, -456, -472, -514, 
##     -550, -575, -631, -644, -664, -676, -698, -698, -692, -591, 
##     -578, -509, -492, -440, -399, -353, -248, -216, -166, -138, 
##     -108, -108, -97, -103, -122, -167, -234, -250, -380, -393, 
##     -540, -593, -628, -663, -681, -700, -704, -698, -693, -679, 
##     -676, -627, -559, -544, -508, -494, -453, -406, -348, -304, 
##     -280, -305, -321, -372, -441, -470, -508, -606, -630, -681, 
##     -687, -688, -634, -534, -503, -564, -527, -492, -393, -293, 
##     -272, -284, -310, -353, -385, -400, -483, -536, -668, -677, 
##     -696, -693, -686, -659, -642, -606, -557, -517, -482, -458, 
##     -397, -377, -290, -242, -221, -80, -55, -36, -23, -22, -8, 
##     -17, -21, -38, -80, -122, -162, -186, -228, -274, -296, -425, 
##     -493, -530, -573, -696, -693, -676, -663, -626, -614, -590, 
##     -561, -546, -516, -475, -369, -322, -298, -299, -307, -328, 
##     -406, -409, -450, -493, -573, -606, -635, -645, -670, -672, 
##     -683, -696, -702, -698, -684, -670, -660, -564, -520, -490, 
##     -447, -415, -405, -376, -357, -328, -302, -191, -182, -154, 
##     -136, -133, -116, -91, -70, -80, -109, -134, -224, -287, 
##     -417, -482, -526, -552, -590, -603, -633, -685, -697, -698, 
##     -690, -670, -584, -569, -519, -359, -327, -287, -284, -282, 
##     -295, -320, -348, -432, -485, -564, -575, -641, -696, -687, 
##     -678, -672, -636, -621, -606, -589, -539, -528, -501, -461, 
##     -410, -381, -330, -313, -255, -246, -216, -193, -179, -103, 
##     -92, -91, -99, -102, -147, -160, -190, -252, -371, -433, 
##     -532, -550, -608, -673, -691, -685, -679, -603, -596, -568, 
##     -528, -490, -453, -381, -373, -401, -447, -459, -487, -568, 
##     -599, -630, 119, 115, 113, 118, 113, 114, 116, 109, 121, 
##     116, 116, 119, 121, 114, 108, 114, 120, 118, 120, 115, 115, 
##     113, 115, 124, 118, 121, 118, 122, 120, 124, 123, 124, 122, 
##     121, 120, 118, 122, 125, 119, 119, 114, 121, 121, 121, 115, 
##     127, 125, 121, 129, 120, 123, 122, 125, 114, 117, 125, 122, 
##     120, 122, 123, 124, 129, 128, 121, 132, 113, 124, 118, 124, 
##     123, 118, 120, 120, 122, 117, 122, 123, 116, 118, 121, 119, 
##     115, 118, 122, 121, 122, 118, 124, 120, 120, 121, 120, 118, 
##     116, 123, 125, 118, 122, 122, 123, 121, 126, 119, 124, 120, 
##     118, 122, 114, 112, 124, 118, 120, 113, 116, 121, 122, 118, 
##     115, 118, 117, 114, 116, 115, 120, 118, 122, 117, 119, 117, 
##     116, 114, 120, 120, 118, 122, 122, 121, 123, 124, 121, 123, 
##     124, 119, 113, 118, 126, 121, 117, 113, 120, 120, 118, 116, 
##     112, 124, 120, 117, 122, 124, 123, 122, 120, 117, 126, 123, 
##     124, 124, 122, 124, 118, 124, 122, 124, 118, 120, 121, 126, 
##     120, 120, 126, 117, 113, 119, 119, 114, 110, 114, 120, 118, 
##     119, 114, 120, 123, 120, 132, 127, 124, 118, 122, 118, 122, 
##     117, 122, 118, 121, 123, 127, 116, 123, 129, 131, 127, 129, 
##     122, 127, 118, 116, 112, 114, 120, 123, 118, 125, 119, 127, 
##     124, 127, 124, 135, 133, 129, 128, 124, 124, 124, 121, 126, 
##     121, 124, 123, 125, 126, 127, 128, 122, 126, 123, 122, 125, 
##     121, 123, 121, 122, 115, 119, 124, 124, 125, 127, 130, 127, 
##     124, 122, 126, 121, 119, 121, 115, 117, 120, 126, 124, 124, 
##     126, 121, 120, 129, 125, 125, 127, 127, 120, 124, 124, 125, 
##     123, 122, 125, 122, 127, 129, 129, 121, 125, 127, 126, 132, 
##     122, 126, 128, 129, 134, 131, 125, 127, 127, 122, 127, 126, 
##     124, 131, 127, 125, 126, 128, 124, 123, 127, 127, 122, 120, 
##     125, 123, 123, 124, 120, 122, 125, 112, 95, 74, 63, 30, 12, 
##     -23, -63, -88, -171, -231, -302, -562, -605, -654, -658, 
##     -670, -673, -675, -672, -657, -645, -634, -603, -585, -571, 
##     -554, -620, -640, -653, -678, -681, -680, -679, -656, -647, 
##     -612, -559, -492, -468, -427, -390, -370, -343, -184, -108, 
##     -85, -8, 12, 25, 52, 80, 87, 52, 29, 20, -11, -47, -115, 
##     -190, -327, -410, -460, -480, -641, -667, -675, -681, -672, 
##     -663, -657, -646, -641, -560, -562, -567, -576, -590, -613, 
##     -630, -655, -679, -677, -682, -662, -542, -513, -441, -363, 
##     -334, -229, -159, -78, 14, 25, 39, 45, 37, 30, 13, 1, -27, 
##     -90, -147, -288, -371, -473, -546, -593, -620, -651, -670, 
##     -679, -674, -662, -605, -524, -533, -632, -635, -650, -671, 
##     -675, -680, -677, -549, -525, -485, -412, -351, -331, -220, 
##     -178, -148, -86, -33, 12, 44, 57, 67, 59, 54, 8, -32, -152, 
##     -187, -296, -330, -403, -458, -480, -626, -655, -682, -677, 
##     -646, -597, -551, -528, -523, -522, -517, -517, -523, -551, 
##     -575, -590, -619, -632, -649, -667, -674, -680, -681, -653, 
##     -633, -554, -510, -397, -372, -285, -231, -125, -60, -42, 
##     54, 52, 37, 15, -19, -142, -221, -372, -397, -452, -508, 
##     -583, -662, -678, -655, -643, -625, -598, -531, -535, -560, 
##     -573, -584, -602, -645, -658, -675, -678, -639, -625, -598, 
##     -519, -490, -398, -219, -173, -105, -67, 34, 64, 72, 20, 
##     1, -16, -42, -92, -111, -147, -220, -269, -407, -428, -486, 
##     -527, -623, -658, -680, -683, -673, -667, -650, -630, -581, 
##     -566, -556, -555, -558, -589, -630, -633, -646, -664, -679, 
##     -678, -666, -657, -612, -588, -574, -515, -341, -190, -131, 
##     -62, -7, 69, 90, 99, 88, 80, 72, 39, 24, -9, -23, -44, -85, 
##     -110, -228, -367, -421, -502, -544, -560, -602, -627, -644, 
##     -660, -665, -675, -680, -678, -668, -660, -624, -589, -593, 
##     -591, -597, -619, -683, -683, -669, -647, -577, -526, -378, 
##     -341, -133, -112, -76, -31, 29, 40, 49, 50, 26, 29, 17, 3, 
##     -28, -121, -165, -193, -373, -394, -446, -496, -555, -593, 
##     -672, -670, -683, -681, -676, -632, -626, -605, -589, -554, 
##     -551, -569, -609, -652, -659, -676, -679, -671, -613, -591, 
##     -528, -473, -413, -388, -303, -273, -58, -25, -6, 27, 31, 
##     55, 61, 61, 32, 32, -6, -26, -77, -156, -186, -301, -437, 
##     -504, -534, -619, -628, -654, -663, -665, -657, -634, -560, 
##     -550, -515, -499, -524, -530, -607, -657, -664, -680, -683, 
##     -647, -593, -557, -548, -506, -477, -388, -371, -323, -298, 
##     -174, -25, -12, 0, 32, 55, 65, 74, 29, -40, -53, -291, -477, 
##     -671, -670, -666, -633, -611, -536, -520, -529, -550, -558, 
##     -573, -594, -639, -668, -682, -666, -652, -583, -556, -468, 
##     -456, -400, -371, -377, -387, -419, -424, -430, -427, -438, 
##     -437, -442, -441, -441, -446, -445, -439, -435, -435, -434, 
##     -431, -434, -436, -437, -437, -438, -442, -444, -438, -443, 
##     -441, -441, -440, -429, -428, -431, -429, -428, -436, -429, 
##     -430, -432, -431, -432, -431, -437, -438, -436, -439, -440, 
##     -442, -438, -436, -438, -433, -439, -305, -316, -355, -493, 
##     -569, -583, -679, -695, -709, -707, -706, -703, -694, -643, 
##     -628, -324, -308, -283, -277, -260, -199, -178, -164, -165, 
##     -144, -129, -118, -115, -115, -110, -105, -120, -132, -155, 
##     -162, -204, -217, -263, -627, -625, -612, -604, -606, -606, 
##     -601, -601, -621, -625, -635, -636, -676, -706, -706, -711, 
##     -709, -690, -676, -632, -552, -555, -557, -561, -563, -569, 
##     -581, -590, -606, -621, -628, -651, -657, -677, -690, -708, 
##     -715, -697, -701, -684, -652, -688, -664, -658, -648, -634, 
##     -611, -591, -579, -571, -563, -541, -524, -523, -513, -515, 
##     -519, -526, -553, -560, -574, -624, -42, -48, -48, -45, -42, 
##     -46, -43, -40, -48, -47, -43, -41, -44, -42, -36, -41, -40, 
##     -41, -41, -56, -48, -34, -38, -34, -29, -41, -39, -45, -54, 
##     -60, -58, -55, -52, -54, -50, -58, -63, -63, -67, -65, -61, 
##     -57, -59, -58, -48, -50, -95, -92, -85, -82, -85, -88, -81, 
##     -78, -83, -75, -69, -65, 70, 74, 69, 73, 74, 73, 67, 76, 
##     73, 65, 70, 65, 72, 70, 69, 70, 71, 70, 72, 71, 72, 65, 69, 
##     69, 64, 65, 66, 70, 63, 69, 71, 69, 62, 71, 61, 69, 72, 69, 
##     67, 68, 69, 74, 71, 76, 80, 77, 73, 75, 79, 75, 76, 80, 70, 
##     60, 70, 70, 66, 74, 72, 64, 67, 58, 64, 62, 69, 66, 70, 77, 
##     75, 72, 78, 68, 75, 73, 73, 68, 72, 72, 77, 74, 73, 66, 73, 
##     72, 71, 70, 70, 70, 72, 73, 75, 81, 84, 84, 83, 82, 81, 80, 
##     88, 85, 84, 81, 82, 87, 84, 86, 82, 79, 73, 74, 78, 69, 73, 
##     73, 72, 68, 72, 70, 80, 76, 72, 73, 75, 71, 81, 78, 81, 81, 
##     81, 78, 79, 84, 81, 80, 89, 84, 84, 84, 87, 101, 96, 100, 
##     82, 81, 80, 73, 73, 81, 77, 75, 75, 84, 78, 77, 73, 80, 77, 
##     79, 80, 72, 86, 79, 81, 76, 81, 79, 74, 75, 78, 77, 75, 76, 
##     71, 73, -14, -34, -44, -76, -97, -110, -146, -220, -313, 
##     -350, -366, -406, -414, -424, -432, -431, -432, -433, -436, 
##     -435, -432, -427, -422, -427, -426, -430, -416, -415, -411, 
##     -397, -400, -388, -392, -388, -386, -391, -385, -393, -399, 
##     -397, -403, -403, -397, -395, -404, -405, -400, -406, -400, 
##     -408, -413, -401, -405, -405, -401, -410, -407, -414, -410, 
##     -404, -401, -401, -404, -397, -397, -397, -403, -403, -398, 
##     -403, -402, -408, -407, -410, -410, -406, -410, -404, -406, 
##     -402, -399, -405, -393, -394, -387, -392, -389, -391, -388, 
##     -383, -387, -380, -375, -378, -343, -324, -320, -302, -282, 
##     -216, -205, -166, -142, -136, -67, -60, -49, -48, -38, -39, 
##     -50, -38, -21, -7, -15, -9, -3, 1, 10, 8, 6, 5, 5, 2, -2, 
##     -5, -7, -5, -8, -9, -14, -5, -15, -17, -22, -54, -57, -73, 
##     -84, -112, -140, -155, -186, -223, -284, -343, -376, -418, 
##     -444, -483, -528, -543, -567, -604, -611, -634, -661, -667, 
##     -679, -685, -684, -668, -659, -653, -630, -562, -546, -530, 
##     -511, -532, -555, -566, -574, -607, -614, -621, -636, -640, 
##     -671, -684, -690, -687, -674, -674, -648, -599, -535, -437, 
##     -391, -348, -228, -194, -163, -126, -109, -93, -81, -123, 
##     -190, -197, -289, -337, -388, -408, -441, -478, -498, -522, 
##     -591, -674, -685, -693, -698, -688, -684, -647, -612, -597, 
##     -575, -533, -532, -542, -554, -564, -569, -587, -599, -596, 
##     -608, -625, -649, -660, -672, -674, -689, -705, -694, -687, 
##     -497, -530, -553, -626, -632, -648, -659, -658, -680, -694, 
##     -692, -696, -697, -698, -701, -699, -689, -662, -581, -578, 
##     -578, -580, -592, -596, -612, -630, -654, -665, -680, -690, 
##     -701, -699, -700, -679, -661, -599, -586, -562, -537, -521, 
##     -483, -444, -397, -341, -283, -655, -670, -679, -687, -703, 
##     -701, -702, -683, -673, -654, -621, -615, -592, -586, -580, 
##     -574, -559, -552, -559, -569, -599, -658, -660, -673, -680, 
##     -693, -690, -692, -694, -695, -696, -690, -652, -638, -627, 
##     -589, -581, -561, -521, -476, -447, -421, -365, -258, -203, 
##     -192, -114, -99, -98, -88, -104, -104, -114, -142, -206, 
##     -245, -293, -320, -364, -400, -527, -568, -576, -603, -630, 
##     -652, -670, -691, -693, -693, -697, -690, -630, -618, -609, 
##     -566, -553, -548, -557, -615, -641, -654, -660, -664, -683, 
##     -683, -700, -697, -673, -644, -568, -534, -502, -476, -420, 
##     -407, -334, -186, -160, -137, -99, -92, -51, -43, -59, -100, 
##     -108, -128, -135, -157, -197, -230, -236, -261, -388, -461, 
##     -506, -516, -539, -553, -571, -590, -592, -613, -641, -657, 
##     -693, -694, -690, -684, -677, -668, -651, -648, -621, -615, 
##     -563, -569, -570, -573, -584, -592, -601, -605, -623, -647, 
##     -688, -699, -695, -680, -680, -669, -609, -584, -581, -560, 
##     -546, -530, -474, -464, -423, -409, -345, -200, -177, -166, 
##     -138, -117, -107, -76, -63, -37, -18, -17, -8, -19, -29, 
##     -35, -57, -139, -157, -198, -258, -351, -404, -438, -467, 
##     -515, -593, -604, -627, -655, -659, -673, -687, -692, -690, 
##     -692, -689, -687, -683, -678, -663, -662, -633, -628, -618, 
##     -609, -573, -557, -551, -539, -524, -516, -509, -519, -528, 
##     -537, -555, -583, -595, -606, -649, -657, -671, -695, -698, 
##     -701, -692, -673, -644, -603, -581, -553, -532, -392, -358, 
##     -237, -291, -349, -415, -607, -632, -649, -673, -686, -687, 
##     -693, -694, -685, -687, -682, -681, -657, -653, -634, -625, 
##     -561, -537, -520, -513, -506, -492, -489, -502, -512, -532, 
##     -536, -551, -567, -583, -599, -614, -630, -653, -678, -681, 
##     -690, -693, -704, -695, -696, -698, -685, -679, -607, -577, 
##     -559, -670, -706, -703, -712, -715, -703, -695, -692, -662, 
##     -663, -640, -624, -605, -592, -530, -503, -493, -485, -436, 
##     -409, -388, -370, -358, -340, -329, -272, -234, -222, -211, 
##     -213, -196, -200, -200, -215, -213, -233, -250, -254, -273, 
##     -349, -402, -454, -464, -500, -517, -571, -590, -610, -702, 
##     -710, -709, -701, -700, -691, -683, -674, -676, -638, -632, 
##     -607, -597, -574, -564, -571, -560, -567, -562, -566, -575, 
##     -569, -568, -569, -573, -573, -573, -577, -584, -592, -614, 
##     -630, -636, -649, -657, -688, -697, -693, -707, -704, -711, 
##     -714, -695, -687, -669, -624, -612, -556, -544, -498, -454, 
##     -439, -430, -407, -374, -308, -252, -220, -181, -146, -130, 
##     -127, -101, -97, -78, -40, -14, -11, -6, -13, -16, -44, -50, 
##     -71, -131, -147, -202, -193, -164, -149, -137, -91, -74, 
##     -73, -78, -86, -97, -112, -143, -150, -214, -266, -316, -330, 
##     -358, -393, -407, -441, -488, -489, -515, -536, -549, -606, 
##     -611, -626, -626, -4, -4, -4, -4, 8, 9, 15, 6, 10, 4, 18, 
##     8, 6, 7, 8, 6, 5, 2, 3, 8, 0, 2, 9, -373, -379, -378, -375, 
##     -383, -378, -380, -385, -370, -372, -362, -366, -366, -375, 
##     -379, -379, -375, -368, -367, -366, -355, 75, 79, 73, 80, 
##     79, 79, 75, 65, 64, 56, 57, 61, 49, 46, 43, 33, 22, 70, 63, 
##     71, 70, 66, 72, 60, 72, 66, 65, 64, 66, 69, 69, 69, 70, 71, 
##     65, 113, 119, 112, 119, 116, 115, 121, 122, 120, 120, 121, 
##     125, 119, 126, 119, 124, 127, 120, 121, 125, 125, 115, 121, 
##     116, 122, 132, 130, 129, 125, 125, 125, 132, 139, 132, 135, 
##     133, 125, 137, 146, 144, 135, 133, 125, 121, 120, 116, 122, 
##     122, 125, 129, 129, 140, 555, 530, 496, 458, 364, 323, -24, 
##     -190, -286, -447, -643, -694, -679, -679, 440, 497, 527, 
##     537, 544, 473, 416, 300, 280, 176, 132, 134, 141, 172, 181, 
##     221, 267, 330, 391, 423, 484, 485, 479, 471, 470, -658, -683, 
##     -719, -733, -733, -734, -739, -735, -738, -727, -723, -723, 
##     -719, -713, -696, -680, -652, -632, -316, -243, 278, 371, 
##     81, -157, -192, -247, -273, -411, -458, -509, -577, -579, 
##     -579, -571, -574, -585, -618, -619, -643, -646, -655, -665, 
##     -675, -683, -681, -682, -683, -692, -693, 476, 484, 575, 
##     582, 580, 529, 516, 488, 430, 388, 371, 272, 244, 157, 113, 
##     58, 41, -8, -23, -190, -265, -519, -564, -595, -592, -460, 
##     -463, -461, -460, -461, -464, -468, -466, -461, -466, -469, 
##     -460, -462, -466, -463, -462, -466, -459, -462, -454, -457, 
##     -460, -457, -460, -460, -455, -441, -440, -474, -470, -457, 
##     -441, -397, 0, -390, -388, -385, -379, -422, -423, -427, 
##     -442, -440, -436, -439, -436, -430, -423, -424, -421, -412, 
##     -419, -414, -416, -422, -423, -420, -422, -423, -423, -429, 
##     -426, -421, -421, -425, -429, -424, -418, -421, -417, -402, 
##     -400, -396, -421, -456, -455, -462, -454, -445, -449, -446, 
##     -450, -447, -440, -436, -433, -431, -427, -433, -423, -423, 
##     -424, -430, -426, -416, -422, -419, -413, -542, -496, -442, 
##     -397, -393, -335, -312, -290, -237, -229, -215, -210, -211, 
##     -214, -308, -330, -342, -369, -387, -585, -595, -628, -657, 
##     -680, -700, -710, -471, -596, -668, -700, -713, -707, -695, 
##     -686, -651, -631, -593, -577, -541, -457, -310, -280, -471, 
##     -643, -653, -680, -696, -709, -700, -680, -642, -631, -584, 
##     -521, -463, -443, -418, -385, -355, -344, -331, -255, -696, 
##     -689, -646, -605, -563, -533, -462, -438, -487, -551, -587, 
##     -644, -683, -702, -714, -697, -691, -644, -624, -160, -164, 
##     -167, -171, -183, -189, -204, -207, -212, -218, -230, -249, 
##     -261, -273, -314, -329, -342, -408, -432, -458, -471, -496, 
##     -521, -557, -570, -621, -641, -656, -704, -145, -150, -409, 
##     -345, -207, -178, -144, -131, -97, -87, -79, -119, -195, 
##     -213, -257, -283, -330, -377, -447, -497, -561, -585, -652, 
##     -659, -682, -697, -695, -690, -676, -663, -652, -635, -614, 
##     -238, -240, -240, -242, -249, -256, -322, -341, -384, -528, 
##     -596, -616, -637, -694, -702, -718, -715, -714, -691, -687, 
##     -622, -606, -565, -487, -457, -453, -471, -565, -593, -614, 
##     -650, -672, -711, -712, -695, -637, -611, -607, -589, -527, 
##     -518, -486, -449, -410, -356, -332, -303, -299, -282, -262, 
##     -251, -250, -256, -270, -294, -305, -325, -353, -397, -459, 
##     -519, -546, -592, -673, -693, -693, -706, -707, -677, -621, 
##     -591, -566, -543, -409, -410, -421, -458, -487, -520, -539, 
##     -572, -651, -661, -211, -215, -209, -214, -216, -219, -220, 
##     -219, -218, -218, -221, -217, -218, -221, -220, -220, -220, 
##     -219, -217, -216, -224, -222, -214, -216, -215, -212, -216, 
##     -217, -213, -212, -214, -213, -225, -246, -262, -268, -292, 
##     -322, -344, -394, -425, -477, -496, -615, -670, -681, -697, 
##     -714, -645, -580, -566, -522, -397, -369, -319, -238, -134, 
##     -124, -159, -323, -368, -391, -619, -679, -703, -638, -590, 
##     -560, -535, -377, -346, -324, -267, -204, -184, -152, -149, 
##     -147, -150, -154, -170, -174, -189, -200, -229, -247, -397, 
##     -434, -583, -708, -715, -714, -687, -636, -597, -560, -169, 
##     -151, -130, -124, -158, -209, -304, -318, -374, -443, -481, 
##     -528, -591, -631, -639, -677, -698, -706, -705, -702, -705, 
##     -648, -616, -594, -527, -392, -375, -293, -241, -202, -173, 
##     -164, -160, -194, -215, -214, -240, -329, -367, -553, -626, 
##     -646, -706, -709, -719, -698, -678, -567, -544, -499, -310, 
##     -279, -136, -112, -57, -20, -38, -52, -98, -167, -218, -236, 
##     -363, -407, -459, -688, -716, -720, -718, -715, -710, -668, 
##     -616, -685, -665, -560, -466, -372, -310, -222, -164, -109, 
##     -62, -68, -150, -263, -396, -457, -534, -591, -678, -699, 
##     -701, -690, -678, -587, -430, -334, -297, -239, -201, -128, 
##     -134, -173, -230, -269, -306, -340, -362, -418, -510, -531, 
##     -659, -694, -703, -709, -719, -707, -685, -642, -601, -521, 
##     -456, -194, -175, -117, -41, 10, 16, -7, -21, -58, -98, -176, 
##     -261, -323, -472, -554, -599, -674, -679, -673, -645, -551, 
##     -447, -428, -309, -119, -115, -99, -119, -117, -128, -160, 
##     -170, -182, -193, -215, -232, -490, -519, -635, -662, -699, 
##     -716, -700, -669, -552, -471, -376, -38, -25, -153, -574, 
##     -611, -635, -385, -413, -467, -712, -707, -697, -681, -636, 
##     -566, -411, -338, -256, -216, -62, -18, 15, -5, -163, -210, 
##     -257, -385, -417, -469, -513, -531, -681, -703, -699, -693, 
##     -677, -654, -603, -534, -460, -446, -383, -351, -242, -220, 
##     -157, -145, -126, -92, -86, -75, -76, -73, -75, -80, -218, 
##     -278, -457, -487, -666, -688, -714, -711, -675, -627, -564, 
##     -469, -375, -305, -235, -198, 48, 48, 45, 30, -12, -82, -138, 
##     -214, -299, -418, -509, -632, -660, -682, -694, -694, -701, 
##     -682, -664, -630, -559, -651, -486, -550, -660, -668, -662, 
##     -661, -666, -664, -665, -664, -617, -607, -601, -601, -598, 
##     -621, -648, -649, -647, -656, -658, -659, -648, -655, -653, 
##     -633, -631, -621, -613, -590, -553, -534, -477, -432, -355, 
##     -325, -255, -188, -84, 32, 113, 522, 546, 538, 505, 487, 
##     376, 344, 154, 126, 52, -51, -115, -210, -252, -353, -422, 
##     -511, -551, -578, -539, -445, -322, -264, -58, 32, 92, 181, 
##     257, 304, 313, 359, 345, 321, 297, 282, 249, 223, 121, -38, 
##     -208, -241, -415, -492, -564, -593, -642, -684, -691, -706, 
##     -707, -734, -747, -748, -748, -720, -691, -654, -595, -533, 
##     -435, -349, -185, -86, 69, 170, 334, 536, 543, 519, 481, 
##     459, 318, 248, 218, 154, -89, -146, -187, -329, -377, -404, 
##     -447, -226, -486, -547, -608, -636, -643, -686, -703, -710, 
##     -727, -731, -742, -747, -746, -743, -745, -737, -724, -686, 
##     -670, -603, -392, -300, -142, -42, 7, 104, 155, 245, 313, 
##     394, 436, 447, 472, 471, 447, 358, 341, 209, 54, -8, -140, 
##     -170, -251, -304, -376, -427, -495, -529, -546, -564, -475, 
##     -422, -319, -248, -222, -74, 22, 116, 175, 252, 330, 367, 
##     396, 419, 415, 319, 51, 18, -13, -60, -134, -262, -293, -363, 
##     -404, -564, -640, -647, -663, -676, -685, -704, -718, -723, 
##     -722, 175, 119, 93, -127, -183, -213, -327, -411, -432, -555, 
##     -587, -552, -484, -427, -318, -266, -231, -164, 38, 207, 
##     264, 340, 457, 398, 353, 305, 226, 166, 85, 57, -61, -256, 
##     -466, -527, -582, -597, -621, -635, -636, -636, -644, -662, 
##     -688, -714, -719, -707, -687, -679, -652, -618, -589, -360, 
##     -212, -163, 344, 405, 433, 487, 487, 487, 464, 441, 404, 
##     358, 250, 221, 71, -13, -194, -257, -367, -468, -532, -560, 
##     -500, -219, -86, -38, 32, 197, 290, 420, 459, 445, 419, 305, 
##     195, 130, 105, 15, -70, -114, -276, -321, -402, -640, -687, 
##     -694, -701, -716, -708, -706, -702, -695, -696, -685, -669, 
##     -656, -576, -450, -409, -13, 375, 408, 505, 537, 527, 460, 
##     311, 198, 3, -207, -258, -292, -357, -437, -582, -568, -476, 
##     -395, -329, -289, -233, -165, -72, -12, 18, 81, 268, 327, 
##     416, 470, 540, 463, 411, 379, 316, 221, 158, 49, -218, -265, 
##     -349, -499, -579, -643, -655, -666, -677, -689, -705, -713, 
##     -716, -674, -248, -149, -87, -58, 10, 96, 150, 189, 283, 
##     315, 424, 459, 471, 462, 442, 381, 291, 143, 27, -61, -239, 
##     -534, -625, -646, -650, -641, -653, -675, -678, -708, -710, 
##     -710, -677, -655, -625, -590, -408, -317, -275, -176, -31, 
##     75, 122, 544, 533, 515, 440, 419, 325, 141, 78, -15, -156, 
##     -306, -333, -377, -525, -539, -533, -508, -471, -414, -383, 
##     -198, 50, 152, 375, 402, 411, 425, 426, 420, 371, 263, 156, 
##     124, -667, -690, -700, -677, -661, -631, -623, -556, -536, 
##     -491, -462, -447, -398, -326, -283, -227, -112, -103, -102, 
##     -115, -114, -152, -216, -251, -292, -311, -351, -419, -467, 
##     -484, -587, -632, -677, -689, -688, -688, -667, -671, -599, 
##     -571, -566, -486, -393, -349, -323, -315, -307, -353, -394, 
##     -440, -515, -648, -695, -697, -684, -671, -645, -596, -581, 
##     -543, -530, -464, -451, -422, -406, -370, -294, -237, -170, 
##     -129, -111, -99, -83, -119, -140, -151, -220, -233, -281, 
##     -342, -450, -513, -547, -605, -661, -671, -700, -666, -643, 
##     -599, -572, -546, -311, -292, -274, -295, -313, -342, -347, 
##     -369, -398, -398, -471, -494, -541, -582, -641, -670, -685, 
##     -692, -695, -679, -627, -546, -145, -139, -143, -144, -142, 
##     -138, -141, -142, -144, -142, -135, -129, -132, -134, -135, 
##     -125, -130, -129, -125, -131, -135, -131, -136, -140, -130, 
##     -134, -133, -133, -144, -144, -149, -144, -151, -152, -146, 
##     -146, -149, -149, -153, -156, -159, -153, -153, -161, -167, 
##     -204, -239, 19, -53, -107, -194, -271, -391, -518, -541, 
##     -579, -617, -630, -658, -694, -693, -672, -643, -638, -574, 
##     -552, -490, -454, -411, -391, -266, -195, -189, -170, -159, 
##     -150, -154, -156, -217, -236, -269, -382, -462, -538, -634, 
##     -689, -689, -620, -599, -468, -398, -233, -128, 37, 167, 
##     219, 248, 244, 223, 181, 126, 88, 53, -47, -70, -274, -443, 
##     -574, -683, -689, -699, -692, -685, -675, -632, -607, -462, 
##     -422, -350, -261, -238, -214, -203, -185, -181, -185, -191, 
##     -202, -230, -259, -275, -357, -401, -419, -522, -583, -666, 
##     -681, -685, -642, -580, -556, -510, -486, -438, -579, -428, 
##     -405, -392, -364, -354, -302, -279, -264, -254, -251, -259, 
##     -273, -296, -321, -364, -414, -450, -510, -572, -624, -650, 
##     -667, -681, -670, -602, -541, -444, -420, -214, -156, -77, 
##     -38, 18, 261, 272, 268, 259, 209, 177, 75, 35, 10, -76, -97, 
##     -157, -223, -277, -365, -442, -426, -542, -642, -684, -681, 
##     -677, -620, -566, -211, -153, -103, -23, 7, 132, 191, 48, 
##     -28, -83, -112, -373, -526, -575, -635, -663, -695, -690, 
##     -651, -599, -551, -533, -521, -491, -470, -428, -332, -286, 
##     -254, -230, -200, -158, -195, -214, -238, -292, -604, -685, 
##     -669, -606, -592, -375, -288, -263, -144, -93, -25, 84, 110, 
##     122, -265, -255, -194, -209, -225, -231, -257, -271, -309, 
##     -347, -366, -437, -546, -632, -648, -687, -687, -687, -682, 
##     -669, -616, -587, -455, -396, -370, -309, -243, -161, -629, 
##     -602, -584, -482, -450, -437, -397, -366, -350, -324, -311, 
##     -241, -235, -244, -249, -362, -383, -411, -477, -497, -577, 
##     -636, -670, -664, -611, -542, -493, -477, -291, -238, -159, 
##     -99, 19, 32, 84, 166, 171, 194, 193, 193, 183, 157, 138, 
##     66, 41, -29, -304, -391, -489, -589, -607, -650, -671, -681, 
##     -689, -694, -646, -624, -596, -550, -508, -401, -353, -174, 
##     -167, -129, -98, -82, -85, -125, -153, -210, -230, -283, 
##     -362, -498, -630, -674, -652, -279, -234, -192, -176, -111, 
##     -75, -47, 39, 48, 49, 46, 39, 26, 13, 6, -2, -22, -36, -46, 
##     -53, -47, -49, -50, -44, -45, -42, -43, -34, -31, -38, -32, 
##     -27, -33, -27, -26, -29, -37, -25, -21, -19, -15, -25, -28, 
##     -91, -187, -335, -539, -672, -663, -653, -627, -430, -366, 
##     -328, -264, -162, -116, -121, -129, -150, -275, -330, -389, 
##     -603, -674, -654, -628, -582, -501, -402, -95, -49, -24, 
##     17, 43, 65, 35, 11, -87, -131, -186, -225, -300, -496, -655, 
##     -679, -655, -514, -375, -294, -266, -151, -89, -95, -116, 
##     -145, -163, -218, -288, -357, -522, -419, -458, -525, -650, 
##     -681, -621, -444, -364, -178, -92, -90, -81, -112, -134, 
##     -169, -189, -318, -430, -464, -595, -663, -667, -670, -662, 
##     -594, -474, -386, -141, -32, 4, 29, 24, 16, -104, -312, -349, 
##     -418, -451, -525, -587, -602, -635, -567, -454, -302, -220, 
##     -168, -152, -87, -31, -33, -47, -79, -107, -176, -263, -327, 
##     -354, -416, -479, -610, -653, -663, -670, -652, -601, -404, 
##     -337, -247, -160, -30, -17, -21, -42, -112, -292, -435, -507, 
##     -597, -640, -674, -678, -589, -539, -268, -172, -65, -72, 
##     -124, -154, -196, -383, -446, -513, -629, -671, -679, -678, 
##     -655, -623, -500, -329, -216, -141, -90, -72, 8, 19, -51, 
##     -105, -146, -168, -408, -587, -615, 13, 36, 41, 27, 3, -41, 
##     -113, -189, -457, -562, -678, -677, -592, -270, -123, -26, 
##     -27, -40, -158, -320, -380, -552, -583, -619, -665, -646, 
##     -462, -351, -233, -111, -19, 20, 19, 11, -10, -43, -73, -127, 
##     -385, -679, -669, -598, -518, -486, -417, -351, -34, -24, 
##     -54, -202, -294, -351, -381, -452, -546, -603, -646, -659, 
##     -674, -633, -618, -432, -399, -335, -174, -109, -15, 16, 
##     37, 45, 46, 42, 11, -15, -80, -151, -395, -437, -513, -577, 
##     -659, -678, -663, -624, -574, -550, -488, -342, -308, -170, 
##     -125, -78, -59, -44, -98, -129, -374, -407, -475, -526, -676, 
##     -673, -585, -545, -427, -218, -152, -95, -25, 38, 76, 91, 
##     86, -638, -673, -673, -661, -586, -558, -511, -463, -299, 
##     -241, -174, -30, -2, 13, 38, 51, 47, 33, 20, 19, 7, -22, 
##     -55, -53, -48, -59, -58, -57, -9, -12, -6, -587, -588, -608, 
##     -608, -612, -620, -623, -624, -634, -633, -646, -651, -658, 
##     -665, -665, -679, -688, -707, -697, -140, -133, -140, -132, 
##     -127, -129, -122, -119, -116, -111, -108, -100, -91, -93, 
##     -84, -86, -77, -78, -79, -77, -74, -77, -74, -73, -71, -66, 
##     -57, -52, -50, -44, -34, -32, -22, -18, -19, -14, 14, 20, 
##     15, 19, 19, 17, 21, 14, 14, 4, 8, -3, -20, -15, -21, -27, 
##     -29, -42, -108, -175, -242, -328, -409, -456, -480, -531, 
##     -657, -706, -688, -671, -582, -561, -513, -471, -418, -391, 
##     -312, -298, -175, -145, -126, -110, -105, -103, -93, -92, 
##     -92, -92, -86, -98, -101, -108, -157, -208, -369, -390, -433, 
##     -529, -641, -676, -696, -707, -696, -666, -635, -559, -530, 
##     -516, -468, -433, -388, -335, -324, -294, -286, -259, -224, 
##     -175, -137, -97, -89, -78, -80, -72, -82, -90, -117, -127, 
##     -138, -286, -238, -228, -203, -186, -180, -173, -156, -145, 
##     -141, -143, -150, -154, -180, -208, -224, -294, -329, -386, 
##     -449, -463, -510, -665, -672, -688, -689, -702, -84, -87, 
##     -99, -127, -256, -321, -477, -502, -566, -687, -707, -709, 
##     -670, -665, -643, -602, -589, -507, -485, -454, -417, -383, 
##     -374, -291, -278, -249, -208, -196, -105, -96, -96, -95, 
##     -88, -103, -103, -129, -155, -171, -193, -231, -271, -297, 
##     -336, -430, -482, -499, -691, -693, -695, -689, -627, -618, 
##     -580, -492, -444, -387, -370, -331, -287, -265, -232, -201, 
##     -187, -161, -149, -131, -118, -103, -87, -95, -102, -119, 
##     -114, -140, -139, -152, -160, -219, -267, -302, -328, -363, 
##     -437, -458, -501, -572, -627, -647, -695, -709, -703, -691, 
##     -680, -665, -255, -439, -577, -588, -626, -665, -694, -703, 
##     -666, -642, -606, -585, -566, -543, -500, -471, -456, -369, 
##     -325, -309, -253, -239, -188, -159, -145, -134, -120, -112, 
##     -79, -66, -73, -65, -88, -104, -115, -187, -209, -273, -235, 
##     -199, -190, -172, -150, -139, -133, -118, -110, -104, -107, 
##     -111, -112, -134, -145, -162, -260, -301, -379, -398, -469, 
##     -546, -595, -651, -691, -706, -681, -675, -658, -649, -632, 
##     -548, -517, -513, -476, -443, -399, -384, -359, -328, -324, 
##     -300, -271, -260, -230, -213, -173, -159, -124, -117, -107, 
##     -109, -101, -102, -124, -130, -160, -183, -242, -301, -345, 
##     -358, -408, -483, -506, -552, -618, -631, -697, -681, -634, 
##     -560, -547, -504, -490, -391, -303, -284, -259, -245, -230, 
##     -214, -204, -181, -182, -186, -186, -191, -202, -215, -235, 
##     -258, -342, -416, -474, -532, -666, -699, -704, -700, -689, 
##     -681, -665, -659, -646, -633, -622, -587, -565, -551, -524, 
##     -481, -458, -448, -425, -379, -329, -316, -286, -267, -237, 
##     -185, -164, -150, -129, -119, -107, -85, -84, -70, -69, -88, 
##     -105, -121, -138, -190, -210, -244, -259, -301, -323, -379, 
##     -398, -449, -527, -547, -616, -696, -711, -712, -701, -686, 
##     -661, -649, -615, -594, -542, -520, -497, -463, -394, -380, 
##     -360, -338, -331, -305, -302, -279, -269, -211, -206, -201, 
##     -204, -206, -216, -238, -370, -480, -623, -642, -703, -697, 
##     -663, -644, -567, -537, -509, -470, -420, -345, -288, -266, 
##     -247, -222, -211, -177, -168, -144, -129, -120, -106, -70, 
##     -72, -64, -62, -53, -49, -39, -38, -234, -255, -297, -316, 
##     -374, -462, -502, -560, -610, -665, -686, -693, -711, -695, 
##     -688, -636, -608, -595, -559, -498, -452, -440, -409, -357, 
##     -341, -646, -624, -566, -550, -404, -394, -297, -222, -202, 
##     -132, -44, -26, -17, -16, -23, -45, -101, -183, -704, -700, 
##     -682, -671, -658, -598, -567, -517, -483, -437, -403, -381, 
##     -376, -351, -328, -321, -300, -280, -267, -229, -225, -206, 
##     -195, -180, -155, -150, -142, -127, -120, -118, -105, -99, 
##     -278, -347, -478, -537, -592, -654, -703, -697, -684, -648, 
##     -596, -568, -515, -502, -450, -363, -333, -686, -630, -588, 
##     -583, -558, -544, -452, -423, -353, -334, -318, -287, -246, 
##     -224, -221, -203, -194, -160, -163, -161, -145, -149, -138, 
##     -138, -539, -548, -550, -591, -593, -619, -645, -670, -678, 
##     -684, -693, -691, -702, -711, -709, -695, -665, -643, -622, 
##     -180, -182, -181, -168, -169, -164, -168, -168, -173, -176, 
##     -189, -199, -202, -224, -244, -256, -282, -367, -386, -416, 
##     -436, -472, -484, -541, -574, -591, -675, -691, -694, -505, 
##     -455, -429, -329, -294, -267, -245, -229, -224, -187, -129, 
##     -121, -104, -87, -72, -80, -72, -96, -107, -120, -129, -199, 
##     -565, -545, -525, -509, -505, -513, -523, -547, -573, -581, 
##     -590, -601, -654, -662, -669, -681, -686, -691, -693, -693, 
##     -684, -670, -665, -652, -645, -627, -619, -605, -579, -524, 
##     -428, -394, -376, -332, -309, -285, -277, -261, -240, -218, 
##     -141, -120, -110, -90, -72, -73, -104, -112, -121, -154, 
##     -163, -199, -243, -298, -327, -469, -499, -552, -596, -623, 
##     -665, -667, -682, -687, -692, -687, -684, -687, -680, -674, 
##     -665, -660, -653, -641, -626, -608, -594, -576, -575, -566, 
##     -536, -508, -507, -480, -454, -451, -453, -445, -433, -444, 
##     -467, -546, -575, -601, -612, -624, -638, -654, -666, -682, 
##     -685, -694, -693, -689, -695, -675, -662, -656, -641, -633, 
##     -608, -602, -570, -552, -523, -511, -424, -395, -346, -335, 
##     -297, -277, -255, -228, -207, -173, -142, -144, -142, -147, 
##     -148, -144, -145, -149, -146, -153, -160, -148, -152, -151, 
##     -153, -148, -157, -155, -153, -161, -173, -186, -193, -323, 
##     -420, -469, -506, -516, -569, -589, -630, -646, -661, -673, 
##     -682, -686, -688, -677, -673, -664, -637, -614, -608, -290, 
##     -337, -448, -510, -534, -618, -671, -672, -680, -668, -652, 
##     -643, -572, -542, -522, -497, -422, -322, -273, -204, -163, 
##     -119, -61, -33, -22, -548, -535, -470, -451, -416, -162, 
##     -134, -2, 24, 31, 43, 24, 28, -37, -104, -230, -295, -360, 
##     -402, -427, -511, -569, -578, -628, -648, -694, -687, -682, 
##     -656, -614, -585, -575, -535, -505, -319, -302, -271, -248, 
##     -147, -135, -77, -52, -31, -29, -26, -10, -7, -13, -29, -30, 
##     -53, -50, -86, -160, -222, -288, -346, -394, -465, -513, 
##     -617, -656, -670, -692, -683, -622, -567, -543, -528, -506, 
##     -423, -408, -377, -329, -288, -263, -245, -187, -147, -68, 
##     -85, -85, -111, -122, -130, -156, -168, -199, -214, -245, 
##     -368, -486, -586, -605, -633, -658, -670, -684, -698, -701, 
##     -688, -668, -569, -494, -454, -434, -388, -367, -319, -272, 
##     -235, -109, -70, -39, -26, 8, 57, 63, 55, 44, 13, 1, -22, 
##     -39, -84, -124, -197, -220, -271, -296, -408, -434, -559, 
##     -626, -672, -703, -692, -680, -652, -644, -624, -587, -547, 
##     -433, -408, -380, -352, -309, -267, -217, -197, -172, -139, 
##     -124, -119, -106, -131, -122, -139, -171, -177, -215, -310, 
##     -325, -500, -549, -577, -599, -618, -626, -648, -683, -697, 
##     -698, -676, -630, -596, -537, -519, -418, -375, -313, -282, 
##     -262, -236, -217, -163, -704, -695, -689, -684, -664, -655, 
##     -594, -584, -556, -533, -501, -496, -461, -423, -347, -327, 
##     -261, -103, -80, -58, -67, -69, -91, -111, -129, -197, -218, 
##     -240, -258, -288, -307, -349, -402, -440, -495, -539, -550, 
##     -588, -674, -709, -701, -696, -656, -580, -557, -521, -416, 
##     -383, -288, -276, -209, -198, -172, -163, -131, -105, -95, 
##     -82, -75, -57, -46, -27, -32, -33, -48, -37, -53, -59, -191, 
##     -338, -323, -299, -275, -263, -238, -223, -118, -88, -104, 
##     -111, -154, -162, -187, -254, -336, -399, -435, -458, -510, 
##     -596, -622, -637, -662, -685, -687, -695, -701, -703, -682, 
##     -621, -572, -541, -509, -456, -374, -344, -230, -197, -175, 
##     -97, -36, 7, 9, 9, 2, -18, -24, -35, -41, -72, -100, -113, 
##     -145, -160, -245, -310, -334, -402, -445, -491, -512, -555, 
##     -574, -665, -692, -703, -702, -664, -580, -555, -536, -503, 
##     -479, -382, -370, -259, -220, -177, -163, -149, -177, -211, 
##     -262, -281, -316, -348, -363, -441, -487, -507, -567, -587, 
##     -621, -636, -654, -656, -673, -688, -703, -707, -709, -642, 
##     -617, -588, -536, -515, -375, -179, -153, -129, -119, -105, 
##     -83, -56, -56, -56, -45, -42, -52, -71, -90, -104, -155, 
##     -215, -330, -507, -544, -607, -619, -667, -697, -682, -633, 
##     -602, -580, -565, -501, -472, -457, -279, -264, -200, -188, 
##     -98, -92, -79, -80, -91, -98, -112, -139, -148, -183, -223, 
##     -253, -272, -421, -458, -513, -524, -593, -602, -637, -663, 
##     -238, -236, -220, -209, -191, -702, -711, -709, -705, -697, 
##     -699, -686, -657, -637, -622, -616, -585, -557, -542, -529, 
##     -532, -527, -534, -534, -534, -542, -588, -577, -563, -513, 
##     -494, -483, -410, -382, -344, -323, -304, -294, -285, -268, 
##     -261, -255, -233, -219, -210, -194, -152, -136, -108, -100, 
##     -93, -92, -104, -112, -139, -147, -232, -272, -319, -375, 
##     -501, -522, -570, -615, -649, -689, -705, -716, -707, -711, 
##     -696, -686, -670, -640, -631, -619, -605, -592, -587, -581, 
##     -581, -560, -570, -556, -554, -542, -547, -543, -540, -538, 
##     -540, -554, -541, -546, -566, -559, -564, -567, -575, -580, 
##     -452, -526, -545, -601, -672, -690, -704, -707, -684, -671, 
##     -652, -635, -583, -558, -548, -528, -498, -433, -398, -364, 
##     -331, -87, -63, -47, -25, -15, -8, -15, -25, -27, -45, -50, 
##     -76, -115, -138, -174, -204, -328, -343, -386, -399, -444, 
##     -502, -547, -632, -656, -14, -59, -66, -171, -192, -257, 
##     -301, -371, -488, -562, -617, -696, -705, -704, -695, -684, 
##     -662, -629, -612, -516, -499, -441, -415, -363, -323, -309, 
##     -259, -141, -113, -45, 25, 55, 50, 65, 57, 45, 40, 23, 16, 
##     -7, -41, -206, -209, -234, -280, -322, -440, -474, -494, 
##     -569, -628, -680, -690, -677, -684, -682, -677, -648, -645, 
##     -625, -623, -607, -48, -43, -40, -23, -17, -11, -13, -15, 
##     -16, -21, -19, -21, -22, -19, -13, -11, -10, -6, -13, -14, 
##     62, 22, -37, -126, -154, -253, -423, -461, -667, -685, -682, 
##     -670, -646, -622, -579, -510, -359, -300, -238, -214, -155, 
##     -73, -43, -34, -170, -197, -274, -434, -506, -686, -636, 
##     -565, -504, -448, -302, -274, -163, -140, -88, -91, -104, 
##     -174, -292, -321, -378, -474, -613, -652, -666, -609, -567, 
##     -484, -326, -294, -229, -140, -89, -616, -631, -676, -673, 
##     -527, -483, -454, -290, -234, -159, -122, -34, -14, -4, 3, 
##     -7, -68, -93, -111, -182, -246, -311, -25, -29, -23, -26, 
##     -27, -26, -24, -30, -25, -24, -24, -23, -25, -27, -29, -21, 
##     -18, -24, -21, -24, -23, -23, -19, -20, -19, -24, -29, -22, 
##     -20, -28, -141, -245, -321, -450, -543, -653, -711, -735, 
##     -744, -760, -774, -793, -809, -808, -800, -794, -775, -760, 
##     -706, -672, -583, -378, -103, -43, 69, 227, -609, -549, -313, 
##     -217, -159, 245, 542, 570, 575, 531, 492, 443, 418, 352, 
##     178, 144, 78, 15, -59, -188, -259, -378, -413, -433, -433, 
##     -400, -368, -316, -730, -728, -672, -666, -645, -609, -507, 
##     -391, -294, -208, -72, -20, 295, 330, 425, 438, 461, 461, 
##     448, 302, 258, -527, -521, -464, -325, -224, -145, -53, 13, 
##     45, 116, 146, 196, 312, 364, 380, 467, 483, 451, 439, 394, 
##     337, 274, 207, 152, 127, 56, -72, -674, -673, -665, -672, 
##     -675, -672, -674, -679, -677, -668, -674, -670, -666, -664, 
##     -662, -660, -651, -652, -651, -648, -627, -632, -638, -655, 
##     -666, -658, -662, -660, -659, -675, -663, -665, -675, -667, 
##     -676, -673, -672, -678, -675, -673, -672, -688, -637, -614, 
##     -571, -553, -502, -492, -455, -422, -400, -327, -314, -279, 
##     -233, -202, -190, -163, -135, -124, -105, -110, -100, -98, 
##     -123, -134, -179, -193, -275, -318, -488, -431, -392, -217, 
##     -210, -199, -180, -175, -187, -217, -221, -251, -284, -328, 
##     -440, -556, -602, -621, -700, -704, -710, -696, -665, -644, 
##     -620, -573, -559, -400, -322, -303, -276, -265, -235, -224, 
##     -214, -95, -158, -634, -570, -403, -209, -181, -128, -50, 
##     22, 148, 191, 190, 179, 183, 151, 97, 85, 24, -19, -101, 
##     10, 70, 157, 219, 247, 268, 275, 252, 236, 177, 165, 117, 
##     74, 23, -2, -59, -134, -289, -352, -505, -611, -694, -687, 
##     -670, 95, 24, -67, -91, -143, -174, -293, -376, -460, -517, 
##     -578, -619, -645, -700, -654, -645, -626, -587, -545, -484, 
##     -428, -355, -644, -663, -678, -686, -701, -700, -682, -669, 
##     -654, -569, -560, -527, -493, -447, -423, -395, -370, -281, 
##     -233, -216, -246, -312, -356, -28, 84, 104, 237, 228, 192, 
##     175, 120, 102, -1, -63, -150, -255, -406, -466, -513, -579, 
##     -598, -669, -696, -693, -697, -679, -652, 198, 155, 111, 
##     77, 24, -12, -178, -244, -281, -348, -500, -570, -651, -660, 
##     -703, -698, -688, -672, -652, -623, -562, -551, -315, -290, 
##     -248, -318, -454, -470, -517, -586, -627, -682, -657, -600, 
##     -552, -531, -460, -367, -222, -90, -18, 40, 133, 273, 295, 
##     330, 359, 306, 288, 276, -248, -274, -333, -451, -502, -541, 
##     -625, -690, -650, -590, -539, -512, -463, -390, -363, -199, 
##     -80, -8, 56, 77, 109, 134, 156, 167, 154, 146, -319, -303, 
##     -270, -250, -237, -211, -184, -167, -143, -134, -134, -135, 
##     -136, -141, -157, -162, -156, -153, -160, -159, -154, -151, 
##     -142, -159, -148, -447, -359, -345, -205, -190, -162, -150, 
##     -113, -95, -93, -89, -88, -98, -102, -105, -115, -160, -182, 
##     -201, -232, -272, -287, -416, -517, -625, -694, -694, -680, 
##     -628, -582, -551, -436, -329, -259, -85, -51, 56, 70, 53, 
##     -85, -213, -391, -494, -594, -632, -673, -683, -652, -607, 
##     -582, -538, -494, -409, -327, -262, -161, -108, -67, -54, 
##     -44, -76, -81, -139, -159, -189, -227, -250, -366, -410, 
##     -432, -490, -567, -701, -719, -711, -685, -658, -621, -485, 
##     -390, -286, -217, -129, -49, -45, -83, -197, -247, -293, 
##     -322, -379, -406, -548, -600, -646, -690, -718, -718, -720, 
##     -714, -662, -632, -619, -587, -474, -340, -270, -203, -175, 
##     -151, -106, -89, -78, -70, -74, -69, -98, -122, -152, -203, 
##     -209, -287, -312, -319, -344, -415, -439, -455, -493, -555, 
##     -585, -616, -583, -602, -673, -696, -695, -698, -701, -699, 
##     -703, -699, -700, -697, -701, -707, -708, -711, -705, -716, 
##     -709, -704, -705, -703, -650, -613, -582, -560, -386, -440, 
##     -460, -493, -528, -590, -619, -691, -692, -710, -702, -702, 
##     -696, -693, -698, -699, -702, -710, -698, -705, -702, -703, 
##     -680, -658, -635, -625, -557, -529, -518, -490, -479, -447, 
##     -347, -342, -292, -263, -239, -224, -210, -204, -192, -181, 
##     -175, -167, -171, -161, -180, -180, -214, -226, -237, -246, 
##     -300, -346, -409, -426, -498, -525, -567, -624, -674, -687, 
##     -709, -705, -694, -693, -686, -690, -685, -695, -696, -710, 
##     -707, -704, -708, -708, -704, -700, -692, -680, -661, -636, 
##     -624, -563, -469, -415, -405, -374, -246, -254, -255, -273, 
##     -275, -322, -340, -366, -455, -519, -527, -562, -626, -632, 
##     -665, -694, -702, -708, -711, -712, -703, -696, -676, -674, 
##     -673, -683, -686, -684, -702, -703, -705, -718, -708, -658, 
##     -649, -525, -510, -485, -442, -352, -330, -327, -290, -268, 
##     -230, -214, -213, -213, -219, -273, -286, -308, -322, -349, 
##     -383, -426, -521, -587, -620, -629, -667, -691, -707, -680, 
##     -654, -644, -667, -675, -689, -706, -710, -713, -672, -672, 
##     -651, -627, -547, -530, -503, -469, -413, -368, -335, -303, 
##     -231, -214, -205, -196, -204, -215, -218, -287, -397, -410, 
##     -440, -484, -530, -604, -673, -687, -699, -705, -706, -710, 
##     -700, -693, -694, -694, -695, -693, -698, -702, -705, -705, 
##     -689, -670, -659, -644, -633, -578, -516, -429, -425, -396, 
##     -388, -366, -348, -286, -254, -221, -199, -192, -185, -185, 
##     -182, -178, 531, 502, 411, 328, 263, 158, 137, -90, -143, 
##     -396, -438, -369, -337, -99, -24, 82, 337, 394, 407, 459, 
##     488, 522, 549, 543, 523, 486, 331, 243, 184, 113, 86, -5, 
##     -65, -297, -377, -461, -582, -640, -658, -681, -699, -710, 
##     -724, -737, -760, -758, -752, -756, -718, -639, -415, 70, 
##     341, 468, 522, 530, 536, 517, 493, 466, 271, 180, 125, 95, 
##     16, -40, -85, -108, -156, -307, -399, -400, -379, -135, -49, 
##     85, 139, 163, 209, 299, 352, 374, 424, 435, 445, 440, 434, 
##     360, 343, 84, -70, -154, -231, -362, -575, -681, -697, -717, 
##     -736, -733, -730, -709, -662, -664, -676, -681, -693, -703, 
##     -711, -716, -720, -719, -702, -674, -679, -661, -629, -550, 
##     -525, -483, -455, -87, 310, 427, 448, 476, 489, 509, 510, 
##     508, 504, 500, 486, 484, 481, 480, 475, 438, 422, 397, 381, 
##     342, 322, 281, 223, 166, 8, -64, -180, -252, -279, -337, 
##     -394, -467, -482, -556, -696, -711, -718, -723, -708, -706, 
##     -696, -696, -685, -677, -676, -672, -641, -612, -580, -562, 
##     -507, -191, -149, 44, 90, 222, 322, -681, -691, -723, -733, 
##     -742, -729, -692, -648, -626, -220, -133, -37, 293, -249, 
##     -334, -430, -491, -552, -584, -615, -612, -609, -608, -633, 
##     -633, -662, -667, -675, -673, -678, -677, -673, -438, -217, 
##     -162, 217, 451, 491, 505, 569, 569, 534, 501, 506, 508, 529, 
##     536, 542, 386, 359, 209, -26, -158, -312, -336, -415, -649, 
##     -672, -699, -725, -758, -765, -761, -762, -756, -747, -737, 
##     -681, -668, -606, -552, -42, 131, 157, 212, 303, 369, 446, 
##     498, 499, 492, 467, 457, 450, 468, 479, 480, 466, 398, 346, 
##     290, 254, 192, -18, -91, -240, -322, -462, -726, -755, -758, 
##     -777, -782, -782, -772, -752, -749, -707, -612, -482, -446, 
##     -365, -158, -45, 38, 132, 194, 313, 403, 423, 438, 441, 398, 
##     381, 373, 373, 373, 376, 401, 405, 414, 406, 406, 399, 387, 
##     337, 294, 274, 224, 189, 164, 48, 30, -41, -306, -484, -631, 
##     -708, -724, -740, -740, -747, -718, -688, -582, -457, 184, 
##     308, 392, 490, 534, 542, 558, 527, 518, 503, 498, 486, 477, 
##     495, 495, 502, 519, 521, 537, 530, 533, 517, 510, 492, 472, 
##     -718, -695, -666, -657, -570, -546, -427, -334, -28, 222, 
##     382, 410, 452, 466, 508, 545, 586, 588, 535, 530, 535, 538, 
##     550, 551, 533, 512, 501, 420, 255, 101, 31, -13, -289, -409, 
##     -495, -576, -666, -685, -728, -739, -766, -772, -767, -772, 
##     -756, -745, -737, -728, -684, -660, -498, -244, -97, -16, 
##     131, 200, -183, -238, -304, -332, -397, -446, -531, -601, 
##     -629, -644, -671, -685, -684, -638, -599, -566, -552, -520, 
##     -505, -473, -369, -325, -298, -275, -262, -252, -239, -230, 
##     -235, -234, -233, -238, -228, -231, -224, -226, -220, -218, 
##     -201, -201, -190, -203, -179, -179, -170, -175, -168, -169, 
##     -165, -169, -163, -160, -163, -157, -158, -168, -170, -178, 
##     -174, -179, -178, -182, -180, -182, -181, -183, -186, -182, 
##     -181, -182, -187, -184, -171, -185, -179, -181, -183, -183, 
##     -179, -177, -173, -174, -175, -175, -171, -167, -165, -165, 
##     -157, -159, -158, -158, -148, -157, -156, -163, -156, -169, 
##     -168, -176, -174, -187, -190, -190, -192, -193, -194, -192, 
##     -195, -196, -191, -195, -187, -183, -186, -223, -223, -221, 
##     -223, -222, -232, -225, -231, -246, -254, -278, -281, -303, 
##     -340, -355, -474, -541, -562, -585, -602, -636, -655, -661, 
##     -677, -674, -678, -678, -672, -670, -666, -654, -652, -638, 
##     -637, -631, -640, -650, -655, -658, -658, -670, -679, -684, 
##     -687, -670, -664, -639, -615, -576, -541, -439, -410, -395, 
##     -366, -330, -305, -297, -256, -230, -220, -205, -201, -192, 
##     -186, -207, -207, -350, -392, -451, -490, -496, -556, -655, 
##     -690, -687, -687, -685, -680, -636, -640, -640, -656, -663, 
##     -686, -695, -686, -687, -679, -657, -626, -554, -286, -254, 
##     -224, -218, -219, -240, -275, -319, -461, -486, -541, -574, 
##     -581, -669, -695, -690, -690, -643, -629, -616, -620, -617, 
##     -630, -647, -684, -698, -700, -684, -640, -616, -609, -587, 
##     -537, -508, -496, -463, -383, -355, -302, -278, -245, -246, 
##     -244, -254, -258, -287, -294, -320, -400, -444, -459, -495, 
##     -515, -546, -598, -655, -658, -689, -646, -628, -632, -660, 
##     -675, -689, -690, -678, -613, -602, -508, -468, -415, -241, 
##     -216, -209, -206, -206, -224, -257, -337, -390, -456, -554, 
##     -567, -602, -641, -665, -684, -682, -681, -668, -643, -611, 
##     -586, -590, -586, -601, -604, -614, -631, -646, -655, -667, 
##     -681, -651, -625, -581, -542, -524, -481, -441, -422, -363, 
##     -248, -231, -200, -193, -175, -171, -177, -212, -247, -314, 
##     -394, -459, -493, -553, -186, -166, -166, -164, -169, -192, 
##     -230, -240, -265, -281, -351, -368, -401, -483, -539, -579, 
##     -666, -678, -615, -532, -524, -516, -524, -527, -548, -555, 
##     -572, -605, -647, -654, -668, -680, -682, -676, -672, -656, 
##     -578, -537, -517, -362, -305, -293, -260, -238, -228, -204, 
##     -188, -192, -219, -299, -357, -396, -451, -509, -569, -610, 
##     -632, -661, -678, -675, -675, -670, -647, -638, -615, -593, 
##     -571, -540, -546, -530, -533, -549, -548, -586, -592, -637, 
##     -646, -677, -696, -686, -679, -651, -646, -592, -580, -555, 
##     -522, -485, -441, -414, -402, -370, -247, -235, -229, -233, 
##     -230, -250, -276, -295, -410, -428, -504, -521, -558, -677, 
##     -649, -585, -582, -8, -7, -7, -17, -13, -13, -15, -15, -13, 
##     -16, -21, -21, -60, -87, -113, -173, -249, -364, -405, -454, 
##     -551, -560, -583, -603, -622, -634, -641, -657, -662, -665, 
##     -677, -673, -674, -671, -666, -670, -668, -661, -651, -646, 
##     -628, -593, -558, -520, -424, -348, -294, -186, -131, -102, 
##     -72, 0, 3, 35, 36, 50, 51, 49, 45, 18, 15, 0, -22, -39, -66, 
##     -82, -128, -146, -188, -315, -384, -432, -453, -491, -577, 
##     -620, -642, -658, -674, -677, -676, -675, -668, -654, -655, 
##     -647, -638, -546, -492, -431, -283, -71, -32, -21, 10, 50, 
##     72, 74, 72, 48, 44, -25, -36, -118, -292, -399, -563, -594, 
##     -647, -655, -669, -675, -680, -682, -684, -674, -679, -684, 
##     -679, -671, -659, -633, -620, -573, -520, -651, -669, -678, 
##     -679, -677, -677, -671, -670, -671, -661, -653, -638, -583, 
##     -573, -550, -496, -428, -329, -268, -247, -4, 25, 24, 40, 
##     44, 37, 35, 25, 17, -17, -56, -92, -109, -160, -295, -319, 
##     -380, -461, -602, -619, -672, -679, -680, -679, -683, -678, 
##     -676, -666, -570, -440, -436, -395, -341, -311, -284, -152, 
##     -89, -35, -11, 34, 40, 40, 33, 16, 2, -7, -34, -40, -366, 
##     -428, -450, -509, -554, -572, -612, -642, -661, -674, -676, 
##     -674, -674, -679, -678, -678, -682, -662, -656, -600, -566, 
##     -558, -475, -376, -335, -288, -273, -107, -43, -15, 17, 22, 
##     33, 17, 4, -29, -68, -107, -256, -489, -620, -662, -670, 
##     -679, -678, -678, -679, -684, -683, -681, -682, -683, -680, 
##     -674, -650, -641, -577, -560, -518, -477, -282, -255, -196, 
##     -113, -13, 36, 32, 2, -7, -33, -181, -205, -451, -570, -602, 
##     -647, -675, -670, -675, -688, -661, -620, -605, -437, -389, 
##     -362, -312, -289, -44, -9, 8, 56, 55, 56, 53, 30, 19, -106, 
##     -133, -218, -335, -476, -555, -659, -668, -674, -677, -679, 
##     -679, -679, -669, -654, -644, -631, -601, -582, -552, -468, 
##     -404, -380, -330, -274, -208, -190, -94, -56, 25, 43, 15, 
##     -1, -42, -80, -152, -177, -231, -288, -311, -383, -509, -532, 
##     -623, -654, -661, -668, -683, -686, -678, -674, -664, -659, 
##     -653, -626, -602, -583, -512, -459, -304, -245, -213, -213, 
##     -201, -201, -129, -112, 66, 68, 63, 46, 45, 31, 26, 14, 4, 
##     1, 2, -16, -12, -18, -21, -7, -7, -12, -8, -1, 4, 9, 8, 6, 
##     -2, 0, -5, -5, -2, -6, -3, 1, -4, -8, -14, -9, -6, -5, -2, 
##     -2, -7, -15, -15, -13, -11, -7, -13, -16, -14, -20, -18, 
##     -30, -67, -119, -128, -194, -292, -321, -371, -371, -371, 
##     -371, -402, -461, -461, -519, -554, -595, -670, -678, -666, 
##     -640, -611, -598, -497, -342, -355, -388, -418, -479, -647, 
##     -670, -679, -665, -634, -471, -401, -364, -226, -122, -27, 
##     -9, 38, 55, 71, 64, 7, -56, -78, -137, -170, -242, -510, 
##     -598, -644, -680, -684, -660, -639, -582, -567, -517, -266, 
##     -270, -300, -432, -541, -605, -628, -677, -468, -313, -205, 
##     -154, -109, -17, 5, 4, -34, -46, -96, -98, -106, -129, -121, 
##     -120, -123, -119, -114, -108, -107, -100, -99, -102, -97, 
##     -100, -97, -96, -102, -100, -97, -88, -95, -95, -94, -94, 
##     -100, -95, -98, -98, -98, -98, -93, -92, -92, -94, -92, -95, 
##     -91, -89, -88, -94, -100, -98, -107, -117, -122, -131, -145, 
##     -163, -172, -180, -198, -222, -230, -247, -276, -293, -365, 
##     -392, -404, -541, -573, -590, -603, -613, -606, -600, -604, 
##     -608, -621, -617, -613, -579, -579, -548, -563, -567, -579, 
##     -585, -589, -590, -593, -591, -585, -589, -592, -591, -585, 
##     -583, -583, -592, -596, -595, -589, -586, -592, -583, -590, 
##     -585, -587, -585, -586, -584, -39, -42, -77, -173, -190, 
##     -236, -254, -332, -380, -478, -556, -610, -641, -671, -687, 
##     -708, -709, -708, -685, -663, -635, -589, -565, -516, -374, 
##     -341, -287, -229, -179, -161, -124, -122, -136, -144, -183, 
##     -243, -294, -334, -350, -486, -542, -593, -697, -704, -711, 
##     -704, -677, -670, -652, -610, -573, -565, -536, -610, -637, 
##     -658, -686, -693, -694, -687, -695, -653, -629, -604, -571, 
##     -568, -520, -457, -437, -428, -415, -402, -395, -378, -362, 
##     -336, -312, -298, -269, -272, -245, -195, -170, -167, -152, 
##     -130, -125, -119, -119, -142, -163, -191, -244, -265, -297, 
##     -317, -380, -429, -454, -496, -527, -636, -674, -707, -709, 
##     -704, -684, -604, -576, -521, -472, -430, -337, -319, -242, 
##     -216, -169, -119, -108, -92, -77, -65, -73, -86, -117, -170, 
##     -354, -414, -441, -527, -620, -647, -684, -692, -659, -606, 
##     -591, -544, -469, -383, -357, -193, -136, -12, 21, 36, 207, 
##     207, 206, 217, 235, 248, 260, 265, 256, 263, 257, 240, 231, 
##     211, 197, 181, 170, 177, 188, 182, 177, 169, 168, 165, 166, 
##     152, 141, 133, 136, 123, 119, 111, 110, 106, 102, 96, 98, 
##     85, 81, 77, 82, 74, 80, 101, 103, 99, 102, 97, 100, 93, 96, 
##     101, 98, 107, 124, 128, 132, 133, 126, 126, 122, 122, 113, 
##     89, 84, 26, 11, 12, -28, -51, -56, -57, -65, -73, -90, -104, 
##     -129, -249, -310, -377, -414, -443, -479, -520, -541, -615, 
##     -641, -656, -657, -670, -683, -692, -688, -704, -699, -701, 
##     -699, -694, -706, -709, -703, -709, -703, -703, -707, -694, 
##     -693, -678, -667, -667, -650, -627, -618, -599, -550, -539, 
##     -520, -482, -465, 8, 0, -7, -20, -27, -43, -55, -80, -165, 
##     -179, -269, -286, -320, -342, -370, -388, -421, -465, -490, 
##     -527, -543, -557, -588, -592, -619, -642, -690, -695, -692, 
##     -702, -702, -709, -708, -704, -707, -706, -704, -705, -707, 
##     -706, -708, -704, -708, -706, -711, -705, -701, -692, -687, 
##     -676, -661, -645, -587, -551, -511, -503, -479, -466, -381, 
##     -357, -350, -329, -313, -311, -290, -287, -272, -274, -252, 
##     -240, -191, -188, -145, -137, -131, -123, -104, -82, -72, 
##     -72, -79, -82, -83, -89, -110, -127, -172, -175, -224, -258, 
##     -277, -309, -323, -353, -372, -533, -599, -621, -633, -666, 
##     -678, -680, -687, -700, -703, -706, -700, -705, -706, -707, 
##     -706, -710, -707, -702, -700, -698, -702, -696, -696, -666, 
##     -648, -628, -611, -579, -544, -512, -501, -464, -451, -425, 
##     -406, -353, -281, -254, -207, -196, -169, -109, -94, -74, 
##     -64, -51, -45, -31, -28, -16, 0, 9, 5, 0, -7, -24, -47, -52, 
##     -83, -88, -121, -282, -331, -346, -380, -396, -427, -438, 
##     -522, -563, -558, -521, -466, -437, -350, -299, -295, -274, 
##     -250, -241, -210, -207, -191, -172, -149, -119, -122, -102, 
##     -103, -85, -72, -50, -44, -39, -45, -36, -31, -37, -51, -54, 
##     -55, -62, -77, -90, -100, -131, -153, -218, -288, -319, -348, 
##     -374, -423, -508, -520, -574, -599, -631, -647, -664, -672, 
##     -675, -687, -704, -702, -703, -692, -703, -701, -696, -691, 
##     -681, -648, -631, -617, -592, -569, -558, -535, -482, -381, 
##     -365, -335, -294, -256, -243, -210, -188, -170, -146, -120, 
##     -80, -45, -9, -1, 5, 20, 28, 32, 41, 37, 30, 31, 24, 12, 
##     -11, -50, -90, -137, -198, -234, -238, -289, -348, -477, 
##     -558, -616, -651, -675, -695, -709, -703, -702, -699, -706, 
##     -707, -707, -708, -703, -707, -707, -707, -705, -708, -703, 
##     -704, -696, -697, -685, -681, -632, -617, -602, -547, -523, 
##     -426, -396, -363, -313, -282, -162, -150, -98, -63, -26, 
##     4, 13, 30, 37, 57, 51, 35, 23, -16, -22, -68, -79, -191, 
##     -227, -309, -335, -362, -388, -502, -517, -545, -579, -614, 
##     -626, -642, -666, -682, -690, -694, -693, -692, -700, -703, 
##     -698, -699, -702, -693, -699, -700, -694, -694, -687, -687, 
##     -685, -622, -630, -658, -677, -690, -695, -695, -698, -696, 
##     -697, -699, -702, -702, -688, -673, -644, -633, -617, -604, 
##     -598, -456, -425, -402, -345, -303, -292, -265, -263, -209, 
##     -181, -148, -123, -50, -23, -11, -7, 8, 81, 106, 117, 119, 
##     115, 114, 122, 115, 125, 127, 138, 141, 141, 144, 149, 155, 
##     149, 156, 163, 171, 171, 181, 183, 187, 189, 192, 201, 198, 
##     205, -461, -454, -404, -378, -310, -297, -284, -267, -221, 
##     -197, -199, -195, -194, -194, -195, -198, -199, -209, -221, 
##     -252, -339, -460, -531, -668, -631, -626, -597, -585, -545, 
##     -507, -463, -450, -322, -294, -272, -256, -177, -143, -119, 
##     -108, -103, -95, -93, -86, -98, -129, -133, -126, -150, -145, 
##     -158, -190, -199, -231, -269, -463, -485, -536, -560, -644, 
##     -679, -693, -696, -676, -699, -697, -672, -642, -608, -568, 
##     -494, -476, -416, -405, -347, -319, -271, -215, -180, -130, 
##     -115, -92, -650, -631, -614, -601, -500, -406, -384, -344, 
##     -318, -307, -276, -231, -196, -137, -125, -118, -119, -122, 
##     -123, -144, -147, -171, -216, -256, -348, -385, -531, -583, 
##     -630, -702, -696, -687, -670, -642, -635, -600, -529, -486, 
##     -350, -314, -272, -258, -229, -195, -179, -129, -98, -27, 
##     -21, 3, 18, 19, 24, 31, 36, 37, 29, 23, 18, 14, 1, -20, -44, 
##     -113, -125, -182, -224, -253, -296, -340, -486, -526, -608, 
##     -648, -693, -681, -620, -596, -553, -514, -496, -472, -420, 
##     -386, -311, -288, -224, -162, -124, -51, -33, -36, -35, -37, 
##     -50, -72, -100, -108, -126, -147, -156, -182, -190, -219, 
##     -227, -278, -296, -375, -386, -420, -439, -463, -651, -658, 
##     -682, -698, -695, -692, -680, -663, -646, -623, -597, -583, 
##     -547, -540, -447, -394, -356, -256, -196, -176, -134, -122, 
##     -36, -24, -25, -39, -69, -88, -91, -124, -136, -163, -167, 
##     -224, -227, -287, -302, -326, -348, -375, -410, -453, -465, 
##     -495, -526, -533, -607, -671, -669, -681, -686, -685, -691, 
##     -683, -686, -686, -677, -682, -680, -230, -161, -148, -130, 
##     -126, -126, -138, -147, -147, -163, -174, -189, -220, -255, 
##     -325, -393, -415, -446, -537, -580, -606, -669, -668, -683, 
##     -673, -607, -590, -577, -570, -558, -524, -496, -476, -468, 
##     -369, -325, -313, -296, -289, -267, -255, -235, -206, -202, 
##     -136, -115, -98, -86, -67, -66, -80, -99, -100, -137, -203, 
##     -240, -299, -359, -496, -531, -556, -572, -588, -612, -622, 
##     -661, -667, -669, -686, -679, -686, -682, -688, -684, -682, 
##     -686, -683, -688, -694, -686, -690, -679, -668, -674, -618, 
##     -619, -584, -573, -551, -502, -467, -432, -318, -290, -233, 
##     -197, -167, -145, -124, -95, -91, -67, -50, -39, -16, -4, 
##     -3, 10, 11, -12, -45, -52, -86, -132, -220, -282, -335, -357, 
##     -391, -429, -447, -494, -547, -560, -622, -650, -668, -692, 
##     -690, -697, -688, -687, -679, -676, -680, -673, -674, -679, 
##     -679, -680, -678, -684, -685, -686, -693, -666, -658, -644, 
##     -561, -535, -505, -420, -390, -355, -322, -278, -231, -83, 
##     -58, -43, -39, -697, -695, -692, -690, -689, -681, -676, 
##     -671, -661, -661, -657, -664, -661, -656, -677, -681, -681, 
##     -690, -668, -618, -584, -543, -510, -531, -556, -603, -626, 
##     -677, -684, -691, -692, -692, -692, -690, -685, -687, -680, 
##     -684, -679, -677, -681, -681, -679, -680, -682, -691, -686, 
##     -681, -693, -691, -662, -656, -640, -636, -626, -612, -605, 
##     -547, -488, -459, -431, -392, -350, -290, -238, -204, -179, 
##     -160, -146, -113, -95, -85, -86, -73, -80, -93, -101, -104, 
##     -146, -485, -457, -425, -351, -308, -293, -275, -243, -229, 
##     -206, -131, -124, -131, -124, -146, -163, -179, -233, -464, 
##     -26, -36, -48, -79, -156, -231, -263, -326, -409, -448, -463, 
##     -496, -516, -542, -584, -621, -654, -669, -672, -674, -685, 
##     -685, -687, -694, -696, -690, -689, -688, -684, -675, -672, 
##     -677, -674, -685, -681, -684, -686, -686, -692, -684, -679, 
##     -665, -689, -688, -689, -689, -687, -691, -687, -675, -672, 
##     -657, -620, -623, -605, -588, -564, -557, -475, -421, -400, 
##     -353, -303, -261, -253, -63, -58, -59, -64, -68, -76, -86, 
##     -93, -102, -195, -206, -240, -254, -290, -400, -424, -491, 
##     -533, -598, -637, -689, -699, -704, -704, -678, -670, -608, 
##     -608, -610, -610, -607, -607, -615, -616, -614, -616, -612, 
##     -608, -603, -600, -603, -606, -605, -606, -606, -595, -590, 
##     -90, -87, -88, -90, -84, -86, -88, -86, -77, -74, -80, -81, 
##     -82, -72, -77, -68, -73, -78, -80, -81, -308, -250, -159, 
##     -142, -98, 16, 63, 69, 80, 90, 97, 49, -122, -205, -302, 
##     -399, -465, -592, -625, -646, 324, 249, 151, -17, -59, -197, 
##     -233, -300, -340, -431, -496, -640, -647, -682, -719, -734, 
##     -738, -737, 494, 543, 566, 564, 578, 551, 542, 529, 520, 
##     520, 523, 537, 542, 530, 493, 456, 444, 410, 392, 292, 237, 
##     208, 77, 9, -92, -157, 381, 438, 518, 524, 572, 578, 581, 
##     559, 534, 527, 519, 516, 515, 520, 522, 532, 525, 404, 383, 
##     302, 251, 206, 85, 44, -18, -46, -358, -453, -574, -655, 
##     -666, -687, -690, -706, -713, -688, -655, -611, -535, -439, 
##     -388, -355, -342, -289, -272, -271, -253, -254, -246, -248, 
##     -329, -322, -284, -236, -215, -201, -183, -184, -184, -185, 
##     -202, -236, -302, -321, -349, -396, -444, -484, -493, -528, 
##     -550, -608, -672, -690, -690, -706, -700, -682, -657, -657, 
##     -653, -547, -488, -438, -429, -384, -345, -335, -306, -284, 
##     -214, -193, -187, -179, -171, -167, -162, -168, -169, -178, 
##     -185, -188, -199, -317, -562, -544, -503, -472, -411, -389, 
##     -379, -343, -319, -310, -277, -269, -260, -249, -245, -253, 
##     -256, -291, -313, -395, -510, -568, -683, -695, -703, -709, 
##     -714, -706, -702, -707, -698, -702, -703, -705, -707, -714, 
##     -711, -709, -691, -677, -656, -604, -564, -624, -562, -534, 
##     -529, -535, -551, -584, -605, -624, -641, -652, -677, -682, 
##     -678, -682, -665, -635, -552, -504, -465, -451, -419, -393, 
##     -374, -349, -323, -310, -270, -241, -186, -193, -207, -213, 
##     -234, -234, -239, -229, -238, -240, -240, -239, -238, -245, 
##     -236, -239, -242, -229, -234, -227, -226, -225, -244, -271, 
##     -308, -494, -511, -569, -584, -630, -640, -654, -684, -669, 
##     -648, -642, -627, -615, -604, -590, -576, -570, -574, -595, 
##     -614, -653, -667, -656, -645, -639, -604, -592, -568, -494, 
##     -371, -293, -275, -156, -161, -191, -209, -228, -318, -345, 
##     -389, -411, -486, -499, -573, -654, -679, -687, -673, -665, 
##     -583, -582, -569, -562, -555, -557, -574, -581, -591, -618, 
##     -638, -650, -697, -686, -653, -629, -614, -583, -547, -536, 
##     -614, -626, -634, -666, -669, -686, -693, -689, -653, -616, 
##     -515, -498, -478, -277, -208, -233, -239, -260, -284, -344, 
##     -448, -458, -575, -603, -655, -656, -671, -688, -696, -700, 
##     -697, -689, -644, -630, -595, -580, -556, -544, -535, -533, 
##     -528, -540, -564, -584, -600, -609, -631, -661, -685, -693, 
##     -648, -614, -520, -480, -443, -424, -377, -294, -280, -186, 
##     -129, -124, -143, -157, -198, -238, -253, -316, -329, -404, 
##     -457, -496, -547, -575, -228, -293, -310, -361, -384, -435, 
##     -476, -562, -593, -605, -633, -638, -663, -678, -700, -700, 
##     -665, -661, -654, -652, -670, -706, -693, -680, -646, -613, 
##     -564, -553, -462, -423, -403, -389, -365, -317, -283, -249, 
##     -235, -227, -205, -190, -187, -190, -183, -183, -187, -194, 
##     -223, -267, -290, -326, -331, -412, -452, -510, -597, -635, 
##     -676, -693, -496, -425, -420, -362, -325, -287, -262, -230, 
##     -213, -206, -192, -180, -171, -181, -167, -177, -177, -189, 
##     -216, -223, -242, -257, -260, -283, -300, -481, -570, -666, 
##     -693, -700, -696, -697, -698, -700, -693, -701, -688, -694, 
##     -701, -700, -699, -694, -696, -691, -660, -623, -555, -468, 
##     -427, -405, -368, -355, -348, -362, -450, -497, -577, -630, 
##     -646, -679, -694, -704, -707, -695, -696, -683, -686, -688, 
##     -691, -691, -689, -683, -686, -685, -685, -457, -637, -668, 
##     -703, -712, -713, -716, -706, -695, -686, -668, -669, -656, 
##     -652, -657, -651, -650, -650, -651, -656, -665, -676, -678, 
##     -688, -686, -703, -702, -693, -682, -656, -616, -582, -545, 
##     -442, -422, -345, -331, -288, -371, -419, -508, -595, -624, 
##     -659, -672, -706, -713, -711, -697, -672, -678, -679, -677, 
##     -676, -671, -672, -681, -678, -683, -692, -692, -700, -700, 
##     -696, -703, -697, -690, -676, -662, -543, -490, -373, -351, 
##     -653, -667, -677, -685, -693, -694, -699, -685, -681, -678, 
##     -656, -647, -611, -578, -527, -479, -443, -404, -385, -357, 
##     -331, -309, -320, -340, -420, -488, -498, -542, -571, -655, 
##     -675, -689, -702, -700, -704, -705, -703, -685, -675, -660, 
##     -652, -651, -657, -658, -663, -662, -662, -664, -661, -666, 
##     -677, -686, -692, -693, -687, -691, -670, -643, -626, -594, 
##     -668, -669, -663, -663, -664, -667, -660, -661, -665, -670, 
##     -668, -677, -681, -682, -705, -701, -688, -629, -621, -582, 
##     -559, -510, -493, -458, -407, -219, -217, -240, -258, -330, 
##     -392, -446, -472, -523, -565, -608, -630, -636, -657, -694, 
##     -699, -706, -715, -702, -703, -693, -689, -703, -698, -691, 
##     -693, -685, -686, -689, -680, -682, -682, -689, -693, -690, 
##     -695, -695, -684, -678, -662, -632, -595, -429, -321, -275, 
##     -262, -202, -215, -231, -262, -296, -305, -340, -374, -432, 
##     -468, -603, -700, -708, -670, -662, -663, -655, -659, -658, 
##     -666, -667, -675, -688, -690, -689, -670, -655, -643, -627, 
##     -605, -570, -512, -473, -458, -420, -382, -316, -292, -283, 
##     -289, -431, -450, -526, -537, -666, -678, -680, -689, -684, 
##     -692, -664, -659, -634, -624, -600, -572, -540, -503, -478, 
##     -476, -491, -665, -690, -696, -693, -668, -660, -631, -605, 
##     -578, -507, -497, -487, -472, -465, -472, -474, -552, -569, 
##     -576, -593, -600, -623, -632, -646, -676, -690, -699, -693, 
##     -682, -674, -668, -663, -648, -624, -621, -606, -585, -567, 
##     -558, -557, -559, -583, -614, -625, -637, -642, -655, -687, 
##     -699, -701, -701, -700, -693, -687, -680, -681, -669, -650, 
##     -626, -593, -584, -564, -552, -523, -492, -482, -466, -443, 
##     -431, -425, -460, -482, -487, -507, -523, -539, -572, -596, 
##     -615, -656, -676, -679, -686, -688, -696, -692, -660, -650, 
##     -648, -632, -621, -696, -696, -688, -685, -682, -673, -653, 
##     -642, -623, -614, -600, -594, -579, -539, -548, -542, -555, 
##     -562, -578, -585, -592, -615, -632, -636, -654, -663, -688, 
##     -691, -691, -695, -674, -673, -663, -658, -652, -643, -606, 
##     -603, -524, -504, -470, -425, -415, -419, -454, -459, -494, 
##     -497, -532, -577, -597, -647, -668, -688, -693, -689, -690, 
##     -684, -665, -645, -638, -633, -628, -611, -613, -596, -582, 
##     -585, -570, -566, -576, -576, -585, -596, -602, -615, -640, 
##     -649, -668, -679, -676, -677, -669, -668, -659, -655, -647, 
##     -640, -632, -610, -594, -585, -565, -557, -491, -468, -441, 
##     -422, -407, -408, -421, -439, -451, -463, -473, -491, -523, 
##     -643, -658, -680, -690, -698, -685, -685, -682, -645, -616, 
##     -614, -580, -569, -550, -544, -546, -550, -555, -559, -588, 
##     -614, -639, -650, -668, -687, -691, -693, -488, -516, -583, 
##     -590, -669, -679, -694, -682, -674, -673, -625, -607, -564, 
##     -554, -555, -556, -568, -570, -571, -580, -576, -596, -609, 
##     -616, -628, -669, -675, -619, -611, -607, -581, -579, -560, 
##     -546, -532, -525, -504, -475, -465, -454, -442, -414, -386, 
##     -372, -365, -362, -403, -493, -522, -547, -571, -588, -666, 
##     -667, -675, -689, -692, -695, -689, -686, -685, 375, 444, 
##     478, 508, 518, 551, 557, 542, 540, 514, 515, 510, 520, 525, 
##     536, 526, 475, 442, 316, 195, 35, -44, -71, -222, -320, -396, 
##     -458, -495, -563, -605, -660, -724, -743, -760, -771, -759, 
##     -754, -743, -715, -705, -696, -660, -639, -539, -498, -380, 
##     -282, -198, -28, 48, 303, 332, 455, 520, 541, 554, 556, 552, 
##     511, 505, 499, 496, 489, 485, 491, 491, 503, 447, 353, 324, 
##     268, 50, -49, -119, -161, -246, -291, -413, -434, -481, -506, 
##     -553, -589, -602, -662, -698, -728, -731, -735, -735, -734, 
##     -729, -734, -729, -731, -732, -714, -730, -722, -726, -723, 
##     -718, -677, -599, -517, 484, 470, 420, 351, 232, -156, -213, 
##     -518, -655, -843, -855, -859, -896, -900, -870, -864, -828, 
##     -830, -819, -728, -670, -429, -240, 102, 191, 229, 387, 429, 
##     466, 489, 487, 480, 466, 387, 272, 49, 36, 11, 11, 19, 32, 
##     71, 123, 154, 232, 297, 435, 480, 473, 451, 438, 381, 330, 
##     249, 218, 147, 73, 37, -176, -249, -399, -575, -878, -945, 
##     -875, -885, -886, -889, -874, -864, -860, -847, -836, -756, 
##     -654, -541, -486, -373, -186, -72, 251, 430, 488, 500, 533, 
##     526, 512, 497, 184, 109, -18, -32, -21, 1, 42, 65, 114, 145, 
##     194, 321, 470, 468, 476, 473, 368, 341, 227, 188, -208, -313, 
##     -838, -936, -936, -882, -884, -894, -911, -915, -874, -882, 
##     -874, -829, -725, -670, -534, -400, 2, 296, 342, 449, 521, 
##     538, 542, 508, 473, 446, 373, 163, 80, 55, -21, -30, -7, 
##     21, 150, 304, 466, 469, 483, 464, 422, 377, 357, 221, 159, 
##     117, 45, -41, -82, -303, -392, -431, -504, -623, -702, -814, 
##     -885, -900, -903, -913, -913, -919, -916, -915, -915, -889, 
##     -503, -410, -120, -29, 79, 139, 381, 479, 536, 543, 493, 
##     260, 205, 174, 138, 75, 92, 121, 191, 340, 393, 458, 489, 
##     478, 452, 396, 376, 266, -160, -246, -481, -579, -749, -812, 
##     -935, -922, -923, -926, -920, -930, -933, -922, -913, -907, 
##     -904, -854, -825, -645, -203, -85, 87, 137, 241, 333, 455, 
##     484, 499, 502, 439, 385, 283, 207, 162, 115, 83, 46, 52, 
##     91, 135, 162, 206, 255, 416, 426, 443, 435, 370, 351, 289, 
##     236, 196, 118, -72, -239, -333, -505, -918, -1010, -963, 
##     -948, -932, -933, -929, -918, -914, -927, -929, -799, -630, 
##     -507, -445, -325, -145, 137, 228, 265, 328, 453, 480, 485, 
##     476, 450, 395, 349, 321, 252, 124, 88, 33, 6, 124, 179, 228, 
##     250, 305, 337, 376, 413, 462, 477, 469, 437, 400, 268, 206, 
##     100, 70, -7, -128, -212, -578, -743, -936, -937, -938, -923, 
##     -922, -920, -901, -881, -879, -836, -535, 88, 200, 254, 369, 
##     392, 470, 483, 470, 457, 318, 271, 208, 165, 128, 12, -227, 
##     -300, -350, -427, -468, -578, -587, -622, -636, -651, -669, 
##     -671, -647, -498, -479, -258, -184, -174, -136, -137, -159, 
##     -193, -231, -289, -314, -411, -528, -592, -679, -687, -691, 
##     -691, -661, -612, -595, -587, -566, -548, -507, -501, -500, 
##     -508, -517, -644, -668, -683, -689, -688, -665, -648, -628, 
##     -618, -529, -495, -459, -435, -404, -348, -306, -268, -217, 
##     -200, -185, -182, -184, -189, -193, -195, -203, -207, -204, 
##     -209, -213, -208, -208, -207, -213, -201, -212, -210, -213, 
##     -217, -220, -223, -225, -229, -237, -240, -242, -242, -252, 
##     -255, -259, -273, -290, -304, -334, -349, -378, -431, -537, 
##     -558, -601, -624, -662, -673, -683, -686, -687, -676, -674, 
##     -633, -602, -445, -407, -362, -303, -263, -244, -221, -204, 
##     -201, -206, -302, -426, -460, -482, -573, -630, -664, -671, 
##     -686, -691, -690, -678, -669, -654, -657, -654, -664, -670, 
##     -670, -683, -679, -646, -617, -510, -462, -415, -393, -320, 
##     -304, -244, -232, -252, -352, -399, -445, -564, -598, -671, 
##     -691, -692, -684, -686, -682, -659, -615, -596, -589, -551, 
##     -557, -547, -550, -553, -592, -615, -628, -662, -664, -677, 
##     -679, -674, -638, -618, -578, -520, -439, -358, -324, -291, 
##     -272, -301, -364, -550, -620, -634, -644, -668, -678, -691, 
##     -695, -621, -617, -596, -590, -547, -535, -528, -527, -521, 
##     -520, -535, -542, -558, -567, -581, -606, -633, -674, -693, 
##     -676, -675, -654, -614, -583, -554, -479, -396, -264, -207, 
##     -227, -262, -303, -437, -464, -655, -639, -622, -599, -575, 
##     -553, -514, -455, -422, -399, -363, -324, -306, -270, -170, 
##     -173, -183, -270, -300, -386, -428, -477, -555, -577, -637, 
##     -663, -671, -689, -686, -673, -661, -648, -629, -630, -630, 
##     -630, -637, -656, -663, -678, -683, -671, -615, -543, -494, 
##     -316, -279, -214, -202, -176, -139, -151, -167, -189, -221, 
##     -584, -593, -592, -610, -626, -639, -675, -664, -634, -527, 
##     -457, -451, -448, -459, -477, -496, -523, -560, -601, -647, 
##     -667, -667, -656, -622, -622, -589, -584, -587, -591, -609, 
##     -622, -658, -658, -658, -672, -664, -647, -604, -572, -554, 
##     -521, -455, -472, -521, -550, -569, -617, -650, -676, -672, 
##     -682, -665, -644, -640, -609, -595, -587, -582, -589, -585, 
##     -596, -593, -593, -593, -633, -662, -665, -660, -660, -649, 
##     -649, -622, -622, -591, -578, -480, -476, -448, -449, -519, 
##     -653, -670, -679, -680, -677, -678, -653, -607, -532, -529, 
##     -541, -537, -549, -558, -565, -598, -656, -677, -588, -588, 
##     -584, -584, -582, -580, -583, -607, -636, -648, -670, -681, 
##     -676, -663, -647, -611, -611, -611, -611, -557, -538, -512, 
##     -473, -455, -438, -430, -446, -672, -673, -673, -673, -668, 
##     -653, -634, -591, -502, -447, -403, -397, -435, -445, -479, 
##     -526, -575, -617, -638, -653, -667, -675, -681, -678, -671, 
##     -665, -621, -618, -609, -599, -606, -609, -614, -622, -655, 
##     -663, -667, -670, -671, -660, -611, -493, -441, -393, -361, 
##     -324, -332, -332, -364, -403, -443, -529, -621, -672, -669, 
##     -667, -649, -636, -624, -618, -600, -581, -575, -566, -550, 
##     -556, -564, -572, -592, -626, -655, -639, -621, -607, -580, 
##     -527, -487, -457, -444, -444, -444, -444, -444, -442, -436, 
##     -436, -461, -481, -542, -550, -584, -630, -635, -672, -682, 
##     -668, -660, -634, -623, -612, -615, -619, -619, -632, -663, 
##     -665, -679, -674, -672, -614, -589, -553, -438, -450, -463, 
##     -476, -499, -512, -528, -551, -569, -583, -617, -638, -650, 
##     -650, -669, -675, -680, -667, -658, -598, -580, -571, -564, 
##     -565, -571, -585, -587, -600, -625, -644, -658, -674, -656, 
##     -626, -593, -567, -517, -459, -406, -620, -624, -621, -619, 
##     -622, -626, -626, -622, -622, -621, -624, -622, -625, -621, 
##     -626, -630, -623, -626, -633, -623, -626, -628, -625, -632, 
##     -630, -630, -631, -631, -623, -623, -620, -627, -632, -629, 
##     -630, -623, -624, -623, -623, -626, -626, -626, -623, -624, 
##     -624, -626, -634, -629, -626, -625, -631, -631, -630, -631, 
##     -632, -624, -625, -624, -628, -624, -634, -629, -629, -627, 
##     -622, -624, -618, -626, -622, -625, -627, -623, -620, -620, 
##     -624, -623, -626, -628, -627, -622, -628, -624, -629, -628, 
##     -625, -627, -627, -628, -626, -623, -627, -619, -615, -614, 
##     -610, -607, -611, -605, -591, -588, -591, -589, -586, -582, 
##     -582, -574, -577, -583, -582, -582, -577, -582, -584, -592, 
##     -592, -598, -609, -620, -635, -639, -654, -656, -648, -648, 
##     -648, -648, -641, -637, -640, -640, -614, -611, -604, -607, 
##     -605, -603, -602, -606, -603, -599, -595, -596, -591, -590, 
##     -600, -601, -601, -601, -598, -599, -597, -602, -606, -679, 
##     -667, -633, -621, -598, -584, -560, -506, -474, -460, -436, 
##     -422, -393, -350, -335, -282, -243, -200, -175, -77, -694, 
##     -687, -685, -668, -656, -652, -571, -526, -483, -474, -414, 
##     -333, -316, -250, -229, -213, -189, -155, -128, -126, -99, 
##     -390, -430, -505, -542, -558, -568, -616, -638, -651, -652, 
##     -658, -682, -691, -695, -697, -698, -705, -701, -703, -701, 
##     -705, -701, -697, -696, -683, -679, -670, -628, -620, -567, 
##     -559, -520, -476, -440, -433, -315, -286, -268, -248, -193, 
##     -175, -166, -103, -78, -358, -402, -454, -475, -510, -519, 
##     -552, -588, -630, -680, -679, -692, -697, -699, -697, -701, 
##     -700, -703, -697, -702, -536, -502, -464, -445, -350, -322, 
##     -306, -264, -256, -217, -210, -173, -134, -108, -91, -16, 
##     6, 50, 64, 65, 110, 117, 116, 62, 25, -78, -103, -128, -145, 
##     -188, -245, -256, -286, -337, -399, -441, -464, -502, -510, 
##     -544, -559, -570, -578, -589, -594, -599, -597, -601, -601, 
##     -606, -598, -602, -604, -597, -591, -596, -592, -593, -595, 
##     -593, -601, -592, -585, -589, -586, -577, -568, -566, -537, 
##     -528, -532, -577, -568, -565, -566, -590, -606, -629, -647, 
##     -652, -678, -692, -706, -702, -708, -683, -663, -656, -642, 
##     -637, -629, -613, -595, -591, -585, -573, -561, -555, -549, 
##     -560, -558, -558, -565, -574, -586, -631, -642, -655, -684, 
##     -694, -699, -703, -699, -648, -632, -626, -616, -609, -595, 
##     -588, -585, -583, -591, -601, -616, -623, -629, -638, -643, 
##     -677, -695, -707, -706, -710, -704, -691, -682, -670, -660, 
##     -634, -617, -613, -604, -589, -575, -527, -517, -488, -486, 
##     -452, -450, -447, -472, -521, -542, -552, -624, -652, -661, 
##     -667, -686, -692, -706, -703, -708, -706, -698, -691, -677, 
##     -679, -666, -650, -653, -662, -664, -671, -672, -673, -682, 
##     -682, -704, -709, -704, -703, -692, -674, -649, -627, -606, 
##     -552, -554, -535, -523, -491, -467, -447, -433, -438, -445, 
##     -462, -480, -510, -522, -546, -548, -568, -574, -596, -613, 
##     -646, -688, -696, -701, -704, -704, -710, -707, -705, -701, 
##     -698, -648, -632, -581, -564, -541, -530, -524, -484, -471, 
##     -457, -456, -428, -430, -429, -435, -440, -683, -673, -666, 
##     -643, -643, -632, -633, -637, -637, -637, -649, -661, -659, 
##     -665, -665, -683, -688, -693, -701, -708, -713, -705, -707, 
##     -704, -695, -674, -504, -491, -490, -466, -461, -467, -473, 
##     -491, -582, -593, -631, -654, -684, -695, -709, -711, -687, 
##     -659, -640, -615, 118, 131, 139, 142, 148, 158, 155, 155, 
##     143, 136, 119, 115, 118, 120, 119, 115, 121, 138, 148, 161, 
##     168, 165, 158, -706, -709, -701, -711, -711, -711, -709, 
##     -708, -703, -706, -709, -705, -706, -713, -708, -711, -709, 
##     -709, -699, -708, -688, -691, -679, -662, -663, -629, -617, 
##     -602, 8, 38, 52, 56, 61, 76, 85, 83, 52, 26, 12, -24, -41, 
##     -71, -150, -234, -271, -296, -53, -40, -34, -20, -17, -27, 
##     -33, -45, -57, -65, -78, -90, -156, -242, -285, -312, -364, 
##     -370, -417, -448, -464, -496, -538, -535, -564, -576, -603, 
##     -646, -658, -673, -682, -687, -701, -701, -704, -697, -689, 
##     -699, -699, -697, -695, -54, 4, 27, 41, 50, 61, 57, 55, 54, 
##     48, 42, 15, -41, -117, -153, -198, -214, -238, -261, -314, 
##     -354, -398, -500, -551, -602, -666, -678, -690, -689, -689, 
##     -680, -678, -674, -675, -673, -678, -683, -677, -681, -686, 
##     -691, -691, -694, -684, -684, -144, -153, -153, -159, -179, 
##     -184, -204, -255, -278, -312, -319, -354, -367, -396, -443, 
##     -481, -511, -534, -569, -580, -633, -650, -677, -684, -692, 
##     -693, -700, -700, -694, -687, -694, -699, -692, -672, -668, 
##     -666, -660, -547, -520, -507, -481, -463, -437, -368, -351, 
##     -324, -314, -275, -182, -108, -97, -81, -64, -58, -55, -52, 
##     -53, -55, -56, -110, -119, -137, -201, -330, -460, -482, 
##     -504, -523, -552, -614, -644, -660, -655, -673, -688, -686, 
##     -694, -692, -691, -689, -690, -687, -685, -685, -687, -686, 
##     -691, -685, -689, -687, -686, -680, -673, -669, -32, -41, 
##     -45, -50, -64, -80, -159, -169, -249, -299, -351, -383, -405, 
##     -441, -477, -531, -573, -584, -607, -625, -625, -661, -674, 
##     -676, -678, -679, -683, -685, -698, -690, -692, -694, -692, 
##     -349, -297, -217, -188, -171, -165, -176, -172, -190, -210, 
##     -233, -254, -366, -429, -475, -493, -550, -607, -661, -654, 
##     -663, -662, -666, -672, -677, -673, -677, -681, -677, -682, 
##     -698, -679, -667, -661, -635, -600, -570, -528, -516, -507, 
##     -394, -382, -359, -351, -410, -423, -423, -460, -631, -614, 
##     -586, -584, -569, -553, -547, -532, -512, -499, -472, -438, 
##     -432, -421, -395, -402, -408, -409, -427, -460, -463, -476, 
##     -513, -533, -555, -582, -598, -601, -619, -632, -687, -684, 
##     -594, -598, -594, -597, -606, -608, -611, -623, -633, -637, 
##     -648, -688, -683, -680, -631, -502, -533, -546, -556, -603, 
##     -634, -685, -687, -695, -701, -694, -686, -680, -670, -651, 
##     -645, -638, -629, -620, -608, -588, -590, -595, -596, -616, 
##     -630, -648, -658, -688, -689, -686, -688, -685, -687, -691, 
##     -683, -694, -687, -697, -692, -682, -635, -585, -577, -493, 
##     -443, -408, -671, -600, -585, -558, -534, -448, -415, -404, 
##     -333, -280, -245, -220, -201, -171, -156, -129, -106, -88, 
##     -43, -39, -33, -26, -679, -672, -663, -658, -642, -591, -574, 
##     -536, -496, -482, -455, -402, -383, -356, -332, -281, -277, 
##     -266, -231, -217, -208, -202, -605, -603, -597, -594, -599, 
##     -598, -605, -608, -610, -616, -607, -611, -603, -611, -609, 
##     -605, -606, -606, -610, -605, -604, -602, -604, -604, -604, 
##     -402, -475, -591, -617, -655, -673, -673, -680, -673, -663, 
##     -660, -644, -624, -619, -604, -608, -612, -610, -618, -620, 
##     -621, -576, -583, -611, -631, -650, -666, -678, -669, -657, 
##     -656, -644, -640, -637, -615, -610, -608, -611, -613, -621, 
##     -671, -639, -616, -607, -568, -517, -485, -455, -461, -461, 
##     -472, -472, -472, -573, -634, -670, -672, -680, -675, -673, 
##     -665, -659, -659, -642, -648, -618, -606, -598, 52, 287, 
##     358, 384, 479, 398, 311, 253, 14, 11, 52, 62, 112, 200, 424, 
##     460, 496, 510, 444, 395, 370, 319, -229, -486, -657, -903, 
##     -937, -948, -882, -892, -887, -893, -899, -883, -872, -869, 
##     -868, -878, -874, -794, -620, -499, -372, -184, -123, -759, 
##     -693, -540, -368, -249, -193, -82, 83, 171, 386, 426, 497, 
##     604, 588, 580, 539, 504, 430, 399, 242, 173, 160, 71, 57, 
##     95, 138, 165, 295, 324, 372, 415, 478, 441, 456, 393, 334, 
##     264, 208, 188, 114, 52, -60, -180, -253, -386, -526, -631, 
##     -686, -783, -886, -822, -823, -824, -821, -823, -797, -782, 
##     -350, -324, -179, -50, 47, 127, 193, 224, 311, 374, 422, 
##     485, 464, 449, 416, 374, 265, 210, 94, 82, 123, 212, 236, 
##     292, 339, 358, -583, -550, -511, -487, -436, -350, -230, 
##     -210, -171, -192, -237, -294, -365, -473, -508, -522, -596, 
##     -649, -658, -682, -687, -703, -711, -688, -683, -681, -266, 
##     -241, -233, -337, -392, -490, -519, -549, -669, -691, -709, 
##     -708, -709, -696, -661, -637, -624, -616, -610, -614, -614, 
##     -604, -607, -686, -689, -690, -688, -694, -679, -648, -618, 
##     -597, -511, -360, -342, -320, -410, -700, -702, -706, -692, 
##     -684, -673, -643, -642, -648, -655, -654, -683, -684, -693, 
##     -699, -706, -709, -717, -695, -686, -678, -670, -649, -516, 
##     -406, -370, -353, -269, -254, -231, -198, -194, -192, -205, 
##     -239, -267, -305, -318, -357, -410, -459, -496, -545, -631, 
##     -673, -689, -688, -678, -675, -629, -620, -596, -597, -594, 
##     -503, -543, -590, -609, -627, -635, -655, -657, -692, -689, 
##     -674, -655, -653, -639, -607, -624, -662, -673, -679, -685, 
##     -690, -681, -678, -665, -1130, -1120, -1100, -1060, -1040, 
##     -1020, -927, -928, -941, -930, -930, -932, -924, -928, -918, 
##     -869, -854, -838, -832, -834, -840, -787, -781, -789, -799, 
##     -809, -775, -756, -761, -762, -788, -790, -779, -777, -778, 
##     -769, -769, -769, -765, -756, -758, -32, -25, -30, -34, -26, 
##     -25, -26, -44, -137, -332, -480, -496, -545, -602, -616, 
##     -656, -659, -686, -687, -709, -708, -709, -669, -659, -619, 
##     -589, -430, -388, -203, -185, -80, -12, 5, 89, 112, 118, 
##     115, 107, 91, 65, 58, 14, -76, -170, -250, -413, -452, -528, 
##     -571, -598, -653, -680, -701, -706, -606, -435, -374, -318, 
##     -300, -257, -211, -196, -158, -120, -108, -111, -115, -137, 
##     -169, -178, -206, -288, -304, -358, -423, -465, -604, -665, 
##     -696, -703, -703, -608, -574, -519, -500, -387, -282, -262, 
##     -191, -146, -89, -75, 18, 38, 69, 80, 93, 91, 63, 6, -88, 
##     -110, -182, -266, -316, -436, -515, -585, -612, -640, -682, 
##     -709, -715, -710, -702, -670, -650, -634, -593, -544, -478, 
##     -426, -408, -341, -297, -273, -243, -181, -147, -101, -94, 
##     -94, -112, -125, -152, -261, -320, -345, -476, -520, -546, 
##     -586, 120, 125, 104, 86, 14, -6, -77, -125, -144, -225, -274, 
##     -302, -676, -678, -654, -630, -599, -568, -554, -530, -514, 
##     -473, -358, -351, -313, -305, -301, -292, -292, -282, -281, 
##     -279, -285, -281, -278, -280, -278, -275, -280, -270, -273, 
##     -272, -274, -276, -280, -279, -291, -289, -289, -294, -294, 
##     -296, -305, -304, -320, -333, -349, -347, -354, -379, -393, 
##     -403, -414, -429, -454, -480, -492, -514, -551, -596, -621, 
##     -684, -688, -681, -567, -533, -469, -404, -370, -135, -73, 
##     -38, 19, 44, 111, 187, 258, 314, 330, 369, 404, 410, 412, 
##     404, 400, 372, 354, 345, 321, 300, 264, 209, 141, -19, -127, 
##     -260, -431, -580, -683, -685, -665, -648, -612, -545, -500, 
##     -453, -385, -328, -297, -253, -241, -233, -230, -247, -251, 
##     -274, -279, -312, -336, -389, -411, -461, -502, -521, -651, 
##     -691, -682, -612, -570, -515, -431, -334, -276, -233, -178, 
##     -106, 186, 268, 385, 411, 391, 369, 345, 321, 301, 284, 255, 
##     199, 101, -16, -409, -471, -494, -560, -604, -619, -657, 
##     -688, -697, -691, -655, -640, -615, -569, -537, -520, -464, 
##     -462, -431, -427, -436, -451, 49, 14, -146, -251, -502, -622, 
##     -685, -698, -693, -680, -660, -531, -463, -425, -369, -342, 
##     -336, -345, -427, -498, -579, -660, -623, -476, -295, -251, 
##     -186, -142, 335, 376, 353, 295, 243, 131, 47, -13, -49, -204, 
##     -318, -350, -422, -514, -581, -671, -688, -697, -698, -694, 
##     -673, -658, -648, -622, -600, -515, -509, -505, -540, -554, 
##     -605, -682, -692, -695, -684, -679, -660, -641, -561, -518, 
##     -469, -302, -49, 65, 134, 169, 309, 342, 364, 350, 299, 253, 
##     191, 80, -84, -117, -197, -236, -309, -382, -420, -423, -358, 
##     -329, -267, -169, -117, -68, -47, -4, 15, 60, 101, 158, 127, 
##     112, 102, 65, 35, 16, -34, -57, -106, -158, -309, -343, -489, 
##     -533, -556, -596, -638, -653, -679, -695, -703, -674, -646, 
##     -638, -571, -522, -433, -371, -345, -342, -337, -334, -344, 
##     -372, -402, -439, -478, -491, -631, -689, -548, -489, -402, 
##     -309, -15, 36, 51, 75, 83, 67, 46, -47, -155, -184, -290, 
##     -318, -464, -542, -679, -704, -681, -659, -553, -461, -322, 
##     -253, -202, -45, -39, -40, -50, -79, -93, -188, -231, -264, 
##     -385, -504, -609, -622, -654, -681, -691, -692, -658, -617, 
##     -579, -89, -7, 24, 35, 43, -38, -56, -91, -204, -227, -273, 
##     -446, -525, -571, -577, -623, -644, -672, -679, -691, -678, 
##     -654, -639, -567, -559, -517, -499, -455, -407, -340, -274, 
##     -232, -222, -195, -236, -331, -404, -460, -483, -546, -589, 
##     -622, -648, -665, -686, -692, -659, -618, -559, -443, -320, 
##     -106, -42, 95, 129, 126, 120, 103, 60, 1, -28, -63, -90, 
##     -195, -247, -268, -317, -366, -386, -436, -496, -601, -630, 
##     -659, -681, -628, -597, -538, -492, -472, -429, -326, -285, 
##     -267, -222, -221, -217, -227, -243, -244, -237, -255, -253, 
##     -246, -239, -232, -228, -216, -212, -204, -212, -214, -220, 
##     -214, -229, -230, -238, -241, -255, -256, -280, -309, -327, 
##     -339, -373, -383, -402, -433, -468, -489, -509, -519, -529, 
##     -541, -536, -547, -542, -545, -546, -551, -550, -564, -557, 
##     -558, -558, -561, -556, -559, -565, -571, -566, -569, -571, 
##     -562, -557, -552, -538, -530, -509, -689, -695, -692, -657, 
##     -654, -646, -641, -636, -634, -635, -645, -647, -656, -657, 
##     -660, -672, -677, -679, -688, -698, -695, -607, -595, -390, 
##     -279, -268, -349, -533, -637, -652, -694, -714, -713, -712, 
##     -709, -701, -691, -693, -663, -643, -634, -612, -589, -557, 
##     -527, -519, -399, -267, -240, -219, -192, -191, -176, -162, 
##     -159, -157, -175, -236, -246, -292, -323, -359, -380, -448, 
##     -491, -544, -670, -695, -692, -666, -446, -333, 223, 288, 
##     296, 268, 142, 113, 39, -117, -223, -287, -464, -560, -626, 
##     -687, -708, -707, -705, -682, -635, -597, -527, -450, -335, 
##     -281, -254, -216, -187, -181, -180, -188, -203, -256, -314, 
##     -355, -396, -612, -654, -699, -687, -636, -529, -411, -263, 
##     -140, -23, 37, 220, 73, -4, -49, -206, -413, -669, -685, 
##     -707, -695, -685, -678, -667, -655, -638, -615, -591, -586, 
##     -590, -594, -596, -601, -612, -622, -640, -653, -668, -682, 
##     -688, -687, -687, -681, -677, -670, -666, -661, -638, -591, 
##     -579, -523, -518, -514, -501, -469, -427, -385, -426, -438, 
##     -458, -534, -591, -622, -653, -665, -690, -679, -688, -679, 
##     -673, -666, -657, -654, -643, -643, -628, -624, -613, -602, 
##     -596, -590, -564, -564, -563, -578, -616, -629, -642, -661, 
##     -683, -695, -677, -660, -651, -631, -627, -598, -549, -525, 
##     -507, -491, -477, -476, -457, -444, -344, -320, -288, -331, 
##     -330, -340, -350, -366, -445, -480, -496, -511, -517, -533, 
##     -545, -555, -577, -614, -623, -635, -648, -652, -661, -667, 
##     -683, -686, -676, -677, -640, -605, -589, -551, -455, -410, 
##     -398, -370, -329, -321, -279, -258, -246, -229, -216, -191, 
##     -185, -175, -152, -128, -107, -108, -98, -81, -89, -90, -92, 
##     -91, -104, -101, -99, -102, -102, -103, -96, -96, -87, -77, 
##     -77, -63, -48, -45, -26, -33, -36, -43, -93, -125, -193, 
##     -221, -277, -302, -355, -404, -432, -487, -510, -554, -658, 
##     -675, -688, -696, -686, -619, -583, -505, -493, -467, -453, 
##     -334, -304, -285, -286, -287, -293, -307, -332, -358, -392, 
##     -421, -426, -479, -499, -586, -599, -622, -625, -642, -663, 
##     -665, -675, -678, -673, -668, -647, -618, -606, -568, -449, 
##     -421, -363, -268, -212, -126, -115, -40, -11, 5, 16, 35, 
##     21, -36, -44, -121, -189, -247, -314, -371, -424, -515, -635, 
##     -694, -698, -700, -697, -683, -668, -657, -646, -583, -570, 
##     -548, -510, -499, -464, -450, -442, -431, -408, -401, -392, 
##     -387, -393, -401, -419, -424, -464, -492, -503, -525, -555, 
##     -621, -657, -681, -674, -666, -659, -642, -595, -585, -485, 
##     -468, -419, -186, -158, -103, -86, -65, -55, -58, -57, -64, 
##     -70, -88, -115, -135, -146, -236, -334, -359, -422, -462, 
##     -491, -566, -580, -621, -631, -681, -692, -682, -666, -647, 
##     -627, -575, -458, -418, -260, -269, -270, -316, -333, -346, 
##     -377, -404, -448, -474, -485, -522, -572, -580, -614, -641, 
##     -663, -673, -674, -682, -671, -653, -641, -545, -522, -477, 
##     -459, -430, -370, -320, -280, -246, -203, -184, -155, -86, 
##     -79, -50, -46, -47, -54, -102, -120, -139, -158, -191, -299, 
##     -362, -378, -454, -480, -520, -567, -601, -613, -645, -677, 
##     -693, -690, -679, -656, -639, -597, -576, -553, -543, -526, 
##     -521, -447, -415, -379, -360, -360, -324, -331, -353, -367, 
##     -377, -393, -400, -490, -513, -517, -566, -602, -609, -616, 
##     -636, -642, -648, -668, -664, -664, -654, -633, -591, -546, 
##     -417, -374, -342, -304, -285, -182, -136, -123, -120, -95, 
##     -97, -101, -121, -169, -181, -252, -281, -345, -385, -447, 
##     -491, -521, -560, -580, -686, -680, -659, -656, -603, -576, 
##     -528, -499, -450, -374, -336, -299, -274, -257, -246, -233, 
##     -229, -238, -265, -272, -287, -320, -357, -387, -398, -425, 
##     -442, -478, -107, -112, -129, -136, -141, -163, -208, -230, 
##     -243, -294, -339, -387, -447, -544, -605, -677, -687, -668, 
##     -599, -595, -565, -531, -500, -474, -453, -399, -337, -323, 
##     -308, -294, -291, -280, -288, -281, -299, -302, -320, -380, 
##     -396, -454, -486, -509, -533, -559, -603, -652, -656, -673, 
##     -628, -614, -577, -564, -461, -362, -336, -302, -248, -208, 
##     -114, -133, -151, -194, -206, -237, -281, -324, -469, -527, 
##     -630, -671, -686, -693, -694, -667, -639, -620, -578, -514, 
##     -477, -427, -353, -316, -240, -247, -275, -277, -297, -316, 
##     -348, -379, -423, -532, -556, -567, -636, -662, -664, -692, 
##     -686, -632, -627, -605, -531, -517, -482, -420, -375, -361, 
##     -220, -184, -163, -151, -109, -95, -78, -55, -55, -55, -124, 
##     -166, -324, -360, -393, -452, -512, -549, -566, -676, -692, 
##     -661, -653, -641, -623, -592, -567, -431, -393, -367, -291, 
##     -271, -268, -271, -273, -291, -312, -322, -337, -359, -393, 
##     -462, -476, -500, -515, -548, -570, -584, -606, -618, -648, 
##     -686, -689, -685, -654, -605, -595, -561, -513, -399, -353, 
##     -306, -206, -175, -164, -131, -97, -82, -77, -93, -101, -124, 
##     -139, -198, -253, -381, -440, -486, -507, -637, -657, -680, 
##     -689, -691, -683, -663, -645, -567, -523, -495, -333, -322, 
##     -281, -266, -236, -242, -306, -318, -381, -419, -443, -454, 
##     -516, -538, -581, -653, -667, -672, -681, -680, -672, -610, 
##     -601, -578, -563, -506, -442, -408, -378, -370, -336, -232, 
##     -197, -149, -133, -71, -543, -623, -656, -717, -765, -774, 
##     -774, -774, -784, -789, -804, -800, -790, -739, -727, -717, 
##     -704, -699, -705, -714, -718, -715, -725, -718, -723, -721, 
##     -731, -730, -743, -751, -745, -748, -755, -754, -765, -770, 
##     -755, -754, -747, -737, -722, -710, -676, -652, -595, -540, 
##     -484, -452, 46, 108, 209, 379, 485, 576, 593, 472, 321, 302, 
##     270, 254, 261, 430, 494, 503, 522, 531, 538, 542, 487, 467, 
##     447, 402, 365, 345, 342, 353, 355, 392, 457, 483, 517, 544, 
##     554, 542, 493, 433, 254, 207, 417, 479, 500, 526, 474, 383, 
##     341, 276, 226, 171, 158, 130, 127, 153, 212, 335, 437, 458, 
##     550, 540, 533, 494, 435, 415, 325, 303, 292, 267, 258, 239, 
##     232, 258, 275, 302, 342, 354, 392, 553, 567, 587, 584, 562, 
##     527, 473, 423, 352, 285, 203, 146, 126, 141, 177, 267, 335, 
##     389, 436, 462, 519, 523, 522, 407, 345, 304, 279, 266, 231, 
##     227, 218, 209, 226, 266, 280, 349, 369, 456, 520, 586, 568, 
##     490, 474, 263, 218, 146, 116, 70, 58, 37, 165, 207, 230, 
##     293, 337, 420, 455, 458, 489, 504, 364, 356, 302, 270, 152, 
##     59, 38, -17, -135, -140, -164, -148, -123, -110, -13, 40, 
##     75, 199, 228, 438, 494, 533, 538, 522, 418, 377, 210, 135, 
##     93, 149, 256, 279, 370, 410, 453, 526, 520, 523, 515, 506, 
##     479, 468, 439, 359, 331, 272, 172, 157, 126, 143, 219, 235, 
##     363, 417, 518, 605, 606, 574, 536, 468, 420, 334, 257, 196, 
##     81, -5, 56, 86, 185, 214, 293, 410, 494, 521, 543, 551, 548, 
##     494, 467, 461, 379, 361, 347, 330, 313, 308, 316, 394, 621, 
##     625, 295, 303, 326, 335, 380, 391, 430, 543, 557, 576, 598, 
##     582, 511, 400, 380, 250, 184, 135, 13, -10, 28, 64, 89, 133, 
##     330, 353, 396, 455, 489, 529, 557, 576, 553, 540, 519, 501, 
##     485, 384, 365, 280, 206, 204, 208, 231, 241, 263, 307, 360, 
##     405, 484, 559, 615, 637, 654, 666, 672, 650, 626, 538, 305, 
##     163, 103, -19, -35, 7, 128, 244, 269, 317, 390, 530, 546, 
##     561, 571, 582, 588, 565, 541, 500, 413, 381, 327, 229, 166, 
##     137, -34, -131, -204, -240, -314, -499, -611, -674, -696, 
##     -919, -953, -974, -1020, -1050, -1110, -1170, -1170, -1210, 
##     -1220, -1240, -1250, -1260, -1260, -1270, -1270, -1270, -1270, 
##     -1270, -1260, -1260, -1260, -1270, -1270, -1260, -1270, -1270, 
##     -1270, -1270, -1270, -1270, -1270, -1270, -1270, -1280, -1270, 
##     -1270, -1270, -1270, -1280, -1270, -1270, -1270, -1260, -1260, 
##     -1260, -1250, -1250, -1250, -1240, -1240, -1240, -1240, -1240, 
##     -1240, -1230, -1220, -1220, -1200, -1190, -595, -598, -597, 
##     -599, -603, -599, -603, -603, -602, -603, -606, -606, -606, 
##     -603, -607, -605, -613, -607, -606, -609, -608, -608, -607, 
##     -603, -609, -606, -604, -599, -598, -605, -600, -597, -573, 
##     -555, -543, -511, -494, -450, -97, -94, -91, -85, -64, -98, 
##     -116, -222, -339, -432, -467, -582, -605, -645, -638, -497, 
##     -425, -198, -167, -202, -226, -506, -538, -591, -635, -649, 
##     -636, -405, -326, -250, -99, -8, 10, 30, 40, -12, -69, -124, 
##     -160, -225, -343, -524, -588, -659, -678, -678, -677, -665, 
##     -640, -621, -469, -388, -284, -232, -232, -191, -191, -180, 
##     -180, -187, -199, -233, -282, -318, -436, -606, -683, -673, 
##     -621, -593, -558, -492, -337, -163, -95, 35, 53, 64, 58, 
##     42, 35, 6, -66, -295, -499, -537, -656, -677, -647, -632, 
##     -550, -527, -383, -383, -328, -310, -270, -262, -327, -409, 
##     -493, -598, -658, -677, -625, -580, -518, -489, -332, -191, 
##     -64, 24, 28, 25, 16, 0, -30, -30, -49, -102, -162, -252, 
##     -366, -604, -622, -665, -678, -662, -408, -382, -336, -334, 
##     -382, -382, -444, -495, -530, -612, -660, -667, -676, -664, 
##     -506, -436, -364, -150, -100, -2, 11, 27, 8, -81, -162, -221, 
##     -290, -402, -666, -584, -523, -523, -454, -415, -383, -383, 
##     -349, -328, -359, -557, -633, -671, -663, -647, -622, -514, 
##     -483, -340, -303, -213, -163, -87, -48, 12, 17, 27, 23, 3, 
##     -9, -48, -90, -139, -164, -342, -415, -447, -513, -513, -578, 
##     -636, -653, -682, -668, -634, -558, -532, -532, -532, -482, 
##     -439, -422, -389, -377, -367, -390, -431, -586, -626, -645, 
##     -675, -683, -683, -626, -558, -485, -404, -247, -168, -74, 
##     -32, -4, 22, 21, 16, -16, -51, -174, -274, -446, -501, -589, 
##     -638, -671, -678, -643, -486, -458, -329, -289, -288, -362, 
##     -479, -521, -561, -626, -674, -685, -662, -602, -562, -550, 
##     -384, -158, -35, 17, 41, 58, 55, 54, 23, -570, -127, -48, 
##     -6, 40, 50, 60, 45, 25, -97, -185, -285, -352, -565, -622, 
##     -639, -684, -654, -561, -319, -263, -249, -269, -301, -430, 
##     -501, -618, -639, -683, -467, -441, -332, -250, -190, -164, 
##     -91, -40, -3, -601, -537, -501, -433, -105, 37, 34, 40, 37, 
##     25, -23, -43, -73, -86, -109, -56, -55, -59, -57, -53, -46, 
##     -52, -53, -48, -46, -51, -55, -48, -56, -53, -51, -50, -46, 
##     -50, -48, -54, -44, -44, -53, -49, -51, -48, -49, -43, -47, 
##     -47, -44, -43, -48, -37, -37, -41, -39, -43, -38, -38, -42, 
##     -38, -37, -479, -499, -531, -553, -563, -581, -591, -612, 
##     -642, -667, -692, -694, -702, -699, -694, -679, -670, -659, 
##     -656, -651, -655, -659, -652, -665, -661, -657, -666, -673, 
##     -678, -677, -685, -685, -689, -709, -705, -705, -703, -700, 
##     -702, -686, -695, -640, -631, -618, -605, -595, -564, -547, 
##     -542, -530, -521, -520, -514, -510, -508, -503, -496, -500, 
##     -503, -503, -502, -501, -506, -508, -512, -518, -558, -582, 
##     -646, -655, -670, -691, -703, -705, -708, -698, -671, -671, 
##     -621, -607, -606, -598, -596, -603, -606, -624, -647, -654, 
##     -660, -688, -703, -708, -707, -705, -689, -688, -673, -661, 
##     -658, -645, -623, -611, -592, -591, -553, -532, -525, -519, 
##     -517, -505, -502, -494, -478, -463, -462, -451, -449, -451, 
##     -441, -438, -432, -430, -432, -437, -461, -506, -532, -554, 
##     -622, -701, -695, -674, -671, -655, -644, -630, -632, -626, 
##     -621, -626, -627, -631, -650, -648, -654, -666, -673, -685, 
##     -711, -711, -711, -695, -692, -663, -648, -639, -630, -584, 
##     -555, -551, -511, -491, -490, -476, -472, -461, -456, -449, 
##     -444, -446, -438, -440, -432, -437, -433, -437, -435, -480, 
##     -508, -541, -595, -631, -635, -663, -671, -694, -702, -701, 
##     -691, -689, -668, -671, -624, -612, -607, -604, -606, -611, 
##     -609, -622, -626, -638, -645, -658, -652, -678, -704, -707, 
##     -712, -702, -708, -701, -695, -685, -661, -640, -628, -580, 
##     -567, -542, -529, -525, -521, -515, -501, -502, -489, -483, 
##     -483, -480, -486, -490, -495, -514, -530, -541, -558, -587, 
##     -619, -636, -688, -696, -711, -715, -713, -704, -675, -662, 
##     -634, -628, -614, -580, -568, -550, -523, -508, -501, -499, 
##     -496, -483, -483, -465, -465, -459, -465, -455, -457, -458, 
##     -483, -520, -542, -545, -603, -650, -668, -669, -697, -689, 
##     -677, -659, -654, -617, -568, -548, -501, -468, -479, -488, 
##     -493, -503, -508, -508, -508, -518, -522, -523, -531, -540, 
##     -592, -606, -658, -684, -701, -707, -706, -715, -702, -688, 
##     -667, -618, -588, -565, -485, -425, -384, -372, -334, -307, 
##     -271, -259, -173, -163, -142, -116, -85, -62, -55, 65, 70, 
##     64, 66, 63, 56, 51, 51, 53, 44, 48, 39, 14, 18, 8, 4, 0, 
##     -6, -13, -23, -32, -33, -41, -40, -41, -46, -41, -38, -33, 
##     -20, -7, -8, 4, 12, 31, 36, 67, 71, 69, 80, 85, 81, 79, 91, 
##     91, 98, 98, 98, 100, 101, 103, 98, 91, 86, -8, -43, -195, 
##     -274, -334, -354, -464, -603, -657, -678, -706, -718, -698, 
##     -686, -674, -620, -584, -482, -421, -334, -306, -242, -164, 
##     -105, -74, -26, 15, 36, 50, 48, 45, 4, -14, -29, -59, -72, 
##     -108, -165, -223, -246, -293, -391, -318, -301, -240, -194, 
##     -101, 22, 26, 56, 53, 71, 78, 76, 63, -167, -297, -355, -592, 
##     -640, -667, -680, -697, -368, -382, -507, -528, -573, -586, 
##     -633, -657, -674, -697, -699, -708, -707, -669, -584, -511, 
##     -472, -455, -7, -2, 4, 12, 24, 29, 33, 27, 44, 47, 52, 62, 
##     73, 75, 91, 82, 87, 82, 78, 88, 77, 77, 77, 80, 76, 73, 72, 
##     -664, -667, -677, -690, -692, -707, -701, -707, -663, -644, 
##     -581, -550, -552, -549, -558, -561, -586, -592, -608, -644, 
##     -703, -630, -509, -378, -263, -214, 3, 120, 104, -49, -152, 
##     -309, -369, -425, -459, -563, -659, -675, -701, -709, -714, 
##     -648, -541, -481, -354, -298, -217, -176, -170, -174, -183, 
##     -193, -468, -531, -603, -420, -375, -268, -251, -223, -211, 
##     -225, -309, -322, -367, -385, -437, -507, -559, -629, -665, 
##     -697, -712, -697, -668, -544, -483, -447, -369, -181, -114, 
##     -89, 25, -6, -49, -75, -153, -289, -493, -549, -576, -661, 
##     -675, -712, -707, -678, -642, -599, -545, -477, -431, -346, 
##     -308, -215, -205, -182, -162, -159, -168, -201, -245, -387, 
##     -412, -588, -678, -695, -703, -709, -690, -683, -590, -484, 
##     -385, -335, -236, -134, -91, 63, 33, -16, -284, -321, -395, 
##     -464, -492, -608, -641, -675, -709, -713, -675, -644, -626, 
##     -520, -460, -405, -321, -265, -162, -151, -148, -142, -142, 
##     -179, -232, -662, -647, -610, -575, -544, -439, -355, -329, 
##     -291, -252, -228, -186, -170, -172, -186, -193, -203, -270, 
##     -323, -454, -478, -589, -662, -636, -610, -481, -363, -335, 
##     -275, -244, -138, -115, -101, -82, -78, -88, -87, -111, -155, 
##     -163, -201, -227, -312, -338, -381, -419, -490, -547, -600, 
##     -625, -681, -262, -219, -105, 20, 27, -10, -54, -230, -360, 
##     -454, -658, -672, -695, -703, -662, -633, -554, -3, -182, 
##     -391, -574, -701, -708, -689, -677, -646, -578, -445, -261, 
##     -247, -233, -207, -216, -226, -235, -235, -245, -243, -261, 
##     -256, -253, -257, -262, -260, -256, -261, -253, -244, -236, 
##     -234, -230, -236, -232, -230, -235, -239, -238, -39, -34, 
##     -37, -35, -37, -30, -30, -28, -34, -26, -33, -35, -33, -30, 
##     -30, -33, -42, -49, -63, -72, -71, -75, -69, -71, -67, -67, 
##     -57, -54, -49, -47, -40, -32, -30, -25, -27, -26, -28, -28, 
##     -32, -35, -33, -35, -33, -43, -34, -34, -42, -38, -42, -35, 
##     -504, -528, -561, -591, -666, -676, -682, -653, -611, -585, 
##     -516, -394, -307, -284, -252, -241, -210, -133, -104, -97, 
##     -102, -101, -97, -91, -81, -76, -84, -68, -67, -65, -68, 
##     -63, -60, -59, -61, -58, -61, -60, -61, -52, -54, -56, -54, 
##     -52, -57, -57, 18, 16, 14, -10, -22, -56, -79, -169, -539, 
##     -677, -653, -616, -616, -567, -538, -361, -311, -236, -192, 
##     -185, -214, -317, -350, -409, -554, -603, 9, -28, -153, -374, 
##     -449, -528, -608, -652, -652, -667, -667, -683, -677, -631, 
##     -599, -540, -472, -472, -440, -350, -311, -442, -545, -657, 
##     -673, -657, -416, -374, -324, -297, -285, -190, -158, -146, 
##     -125, -73, -70, -50, -48, -42, -37, -42, -50, -67, -72, -72, 
##     -72, -72, -80, -89, -97, -97, -101, -99, -98, -1270, -1280, 
##     -1270, -1270, -1260, -1270, -1270, -1270, -1270, -1280, -1270, 
##     -1270, -1270, -1280, -1270, -1270, -1270, -1270, -1270, -1270, 
##     -1270, -1270, 584, 535, 355, 245, 32, 56, 72, 303, 440, 474, 
##     505, 530, 538, 539, 524, 471, 447, 420, 415, 391, 376, 363, 
##     334, 323, 144, 167, 186, 284, 312, 339, 398, 427, 466, 487, 
##     499, 506, 496, 480, 470, 427, 393, 350, 315, 245, 231, 140, 
##     125, 143, 298, 319, -446, -421, -375, -178, -126, -89, -140, 
##     -381, -441, -473, -554, -596, -632, -647, -680, -688, -670, 
##     -662, -637, -583, -535, -504, -445, -277, -165, -103, -10, 
##     56, 76, 62, -613, -700, -699, -677, -653, -617, -465, -391, 
##     -281, -240, -170, -78, -35, -145, -199, -290, -358, -394, 
##     -454, -651, -678, -712, -713, -309, -324, -371, -450, -526, 
##     -644, -710, -707, -627, -599, -560, -471, -334, -77, 6, 4, 
##     -250, -316, -420, -664, -702, -706, -555, -600, -637, -650, 
##     -671, -695, -701, -689, -647, -608, -534, -409, -368, -224, 
##     -141, -42, -51, -103, -238, -259, -312, -395, -520, -546, 
##     -598, -681, -608, -567, -466, -441, -406, -342, -297, -264, 
##     -220, -200, -185, -188, -184, -192, -195, -207, -217, -312, 
##     -325, -404, -472, -511, -562, -653, -525, -409, -253, -204, 
##     -150, -102, -94, -87, -112, -146, -258, -301, -529, -686, 
##     -688, -680, -661, -610, -586, -494, -464, -344, -282, -228, 
##     -563, -510, -459, -389, -331, -190, -165, -119, -73, -4, 
##     50, 52, 52, -3, -10, -56, -73, -198, -311, -435, -481, -657, 
##     -692, -695, -698, -684, -588, -571, -701, -684, -644, -447, 
##     -390, -366, -317, -317, -314, -317, -335, -357, -368, -455, 
##     -495, -600, -657, -692, -676, -601, -475, -534, -539, -567, 
##     -611, -643, -664, -673, -692, -644, -306, -233, -200, -48, 
##     -11, 126, 215, 250, 305, 353, 411, 413, 389, 379, 306, 243, 
##     224, 185, 157, -703, -693, -463, -408, -204, -92, -68, 2, 
##     67, 89, 91, 109, -706, -699, -683, -672, -622, -592, -571, 
##     -377, -226, -205, -151, -116, -68, -60), magnet_forearm_y = c(654, 
##     661, 658, 658, 655, 660, 659, 660, 653, 656, 657, 657, 655, 
##     659, 656, 656, 653, 653, 657, 657, 654, 654, 653, 661, 667, 
##     658, 657, 657, 657, 661, 660, 653, 650, 656, 651, 654, 656, 
##     651, 658, 654, 655, 656, 659, 653, 648, 652, 655, 653, 657, 
##     656, 656, 653, 653, 651, 660, 649, 655, 650, 660, 655, 663, 
##     649, 655, 667, 654, 657, 652, 657, 655, 656, 655, 652, 656, 
##     653, 648, 653, 653, 654, 656, 656, 658, 657, 652, 658, 656, 
##     661, 653, 653, 662, 663, 660, 655, 653, 662, 657, 654, 662, 
##     659, 659, 644, 656, 655, 657, 651, 660, 656, 653, 650, 654, 
##     656, 655, 655, 650, 655, 654, 654, 655, 648, 656, 655, 659, 
##     659, 659, 654, 651, 659, 658, 647, 655, 655, 652, 654, 654, 
##     655, 656, 655, 658, 653, 653, 652, 656, 657, 655, 658, 654, 
##     659, 655, 653, 653, 657, 648, 652, 647, 648, 655, 656, 655, 
##     650, 651, 655, 654, 655, 653, 654, 653, 741, 747, 744, 742, 
##     749, 750, 751, 751, 756, 751, 752, 756, 746, 754, 758, 756, 
##     746, 754, 751, 755, 751, 756, 749, 746, 759, 748, 751, 749, 
##     750, 751, 751, 759, 750, 753, 755, 757, 755, 754, 753, 751, 
##     752, 754, 752, 754, 753, 756, 758, 765, 759, 765, 759, 764, 
##     762, 752, 757, 764, 756, 758, 766, 757, 768, 765, 766, 757, 
##     764, 757, 765, 760, 762, 762, 763, 760, 757, 749, 752, 755, 
##     749, 743, 745, 741, 740, 735, 730, 734, 737, 724, 726, 727, 
##     731, 717, 717, 719, 726, 731, 743, 739, 745, 749, 752, 750, 
##     749, 750, 752, 757, 752, 756, 752, 758, 749, 750, 753, 743, 
##     748, 741, 744, 745, 747, 751, 746, 752, 755, 745, 749, 746, 
##     747, 753, 752, 747, 749, 752, 754, 752, 764, 757, 754, 756, 
##     751, 751, 751, 751, 754, 751, 749, 753, 746, 742, 745, 733, 
##     741, 739, 731, 740, 737, 740, 744, 744, 742, 747, 739, 742, 
##     746, 743, 740, 737, 741, 744, 746, 740, 748, 737, 735, 744, 
##     743, 740, 743, 743, 739, 739, 743, 749, 746, 749, 750, 749, 
##     748, 761, 751, 747, 747, 750, 750, 746, 753, 750, 752, 750, 
##     747, 742, 749, 739, 745, 739, 742, 742, 748, 750, 744, 746, 
##     744, 747, 747, 744, 740, 747, 293, 263, 180, 130, 48, -73, 
##     -141, -187, -257, -294, -305, -339, -332, -303, -271, -222, 
##     -189, -81, -61, 131, 228, 346, 373, 414, 443, 483, 527, 556, 
##     643, 764, 766, 779, 782, 783, 771, 773, 759, 764, 757, 751, 
##     751, 753, 752, 754, 756, 764, 770, 771, 772, 763, 772, 765, 
##     747, 741, 732, 704, 679, 649, 609, 592, 560, 542, 499, 275, 
##     228, 192, 129, -25, -76, -108, -223, -244, -327, -338, -355, 
##     -353, -320, -241, -223, -185, -145, -125, -84, -24, 24, 147, 
##     279, 432, 672, 699, 708, 734, 761, 775, 787, 785, 780, 779, 
##     773, 765, 749, 751, 732, 733, 736, 745, 742, 743, 755, 760, 
##     773, 776, 781, 781, 771, 753, 742, 697, 661, 613, 551, 513, 
##     454, 391, 340, 295, 273, 722, 736, 758, 770, 770, 786, 785, 
##     784, 791, 789, 785, 774, 775, 759, 759, 765, 765, 776, 773, 
##     782, 782, 781, 784, 783, 760, 718, 702, 658, 626, 501, 476, 
##     423, 253, 56, -245, -304, -320, -365, -419, -395, -378, -341, 
##     -335, -296, -254, -234, -129, -79, -29, 1, 54, 82, 222, 357, 
##     413, 616, 631, 679, 716, 768, 768, 772, 790, 783, 795, 786, 
##     780, 783, 775, 781, 777, 769, 780, 779, 780, 779, 747, 747, 
##     682, 637, 607, 541, 431, 294, 202, 137, -215, -242, -293, 
##     -367, -370, -349, 769, 773, 772, 778, 788, 778, 777, 764, 
##     751, 748, 723, 648, 599, 557, 443, 424, 317, 280, 179, 150, 
##     94, 7, -53, -82, -225, -279, -330, -359, -363, 779, 778, 
##     782, 781, 778, 784, 789, 774, 778, 771, 710, 686, 601, 519, 
##     424, 264, 140, 49, -8, -215, -241, -180, 135, 194, 264, 284, 
##     347, 430, 480, 606, 191, 68, 15, -20, -64, -144, -233, -241, 
##     -239, -223, -124, -40, 34, 90, 125, 243, 269, 385, 410, 450, 
##     516, 688, 713, 737, 782, 784, 791, 784, 794, 793, 790, 792, 
##     787, 791, 791, 787, -325, -311, -285, -272, -255, -241, -221, 
##     -227, -229, -239, -249, -258, -265, -282, -285, -301, -318, 
##     -310, -305, -295, -277, -263, -250, -192, -172, -162, -146, 
##     -137, -136, -144, -160, -176, -202, -213, -248, -244, -254, 
##     -255, -257, -251, -232, -208, -207, -176, -190, -200, -208, 
##     -191, -191, -161, -155, -146, -149, -147, -151, -157, -157, 
##     -172, -183, -233, -249, -239, -239, -207, -178, -165, -132, 
##     -114, -112, -128, -150, -168, -196, -201, -215, -212, -214, 
##     -207, -204, -192, -158, -143, -122, -116, -133, -149, -167, 
##     -198, -199, -207, -191, -169, -166, -146, -125, -121, -123, 
##     -118, -129, -147, -169, -176, -186, -191, -191, -150, -137, 
##     -128, -129, -122, -130, -140, -165, -182, -184, -185, -177, 
##     -174, -164, -149, -140, -134, -131, -167, -171, -171, -173, 
##     -165, -165, -123, -117, -140, -156, -188, -178, -152, -142, 
##     -128, -112, -116, -101, -89, -93, -98, -96, -101, -120, -133, 
##     -168, -161, -147, -149, -138, -130, -122, -117, -113, -124, 
##     -127, -157, -172, -180, -183, -182, -161, -149, -134, -149, 
##     -166, -183, -181, -187, -203, -200, -206, -206, -201, -194, 
##     -177, -166, -158, -164, -162, -165, -162, -167, -160, -165, 
##     -175, -173, -181, -182, -208, -211, -238, -228, -224, -197, 
##     -183, -183, -170, -177, -195, -197, -211, -247, -277, -282, 
##     656, 690, 704, 732, 746, 761, 775, 769, 756, 750, 751, 742, 
##     735, 737, 741, 749, 751, 756, 772, 779, 786, 797, 786, 765, 
##     -273, -252, -250, -231, -219, -207, -213, -221, -219, -225, 
##     -232, -247, -261, -256, -251, -220, -159, -176, -170, -164, 
##     152, 324, 349, 293, 314, 361, 473, 482, 495, 409, 335, 353, 
##     412, 529, 536, 539, 619, 654, 703, 802, 879, 911, 892, 873, 
##     -377, -340, -319, -258, -221, -199, -200, -210, -217, -228, 
##     -221, -238, -239, -314, -323, -339, -346, -353, 866, 874, 
##     865, 865, 838, 795, 781, 786, 832, 864, 862, 873, 866, 870, 
##     859, 862, 859, 864, 859, 865, 859, 862, 871, 870, 847, 851, 
##     829, 837, 833, 832, 826, 823, 785, 785, 784, 783, 780, 767, 
##     765, 771, 771, 772, 773, 776, 771, 710, 715, 719, 725, 721, 
##     730, 738, 737, 734, 731, 720, 709, 708, 707, 714, 716, 719, 
##     709, 711, 711, 712, 708, 712, 720, 719, 708, 717, 719, 748, 
##     742, 738, 729, 733, 737, 740, 747, 751, 750, 760, 761, 764, 
##     768, 761, 763, 759, 769, 776, 772, 775, 774, 777, 779, 777, 
##     773, 780, 777, 778, 776, 772, 783, 790, 783, 777, 775, 780, 
##     783, 786, 785, 784, 785, 789, 791, 790, 801, 806, 817, 815, 
##     822, 825, 826, 834, 830, 827, 825, 820, 816, 782, 771, 764, 
##     756, 760, 748, 742, 739, 733, 739, 739, 737, 734, 735, 727, 
##     722, 725, 722, 725, 724, 727, 720, 727, 727, 711, 721, 717, 
##     713, 710, 714, 721, 720, 715, 719, 714, 725, 721, 725, 733, 
##     735, 733, 735, 736, 725, 735, 731, 726, 720, 732, 731, 731, 
##     728, 725, 726, 729, 728, 729, 732, 724, 727, 713, 711, 714, 
##     710, 719, 717, 726, 729, 742, 742, 745, 752, 766, 763, 754, 
##     742, 703, 683, 572, 537, 523, 481, 450, 335, 52, 97, 119, 
##     194, 236, 304, 331, 381, 431, 483, 506, 540, 562, 595, 643, 
##     670, 679, 704, 716, 729, 736, 746, 774, 789, 792, 800, 801, 
##     795, 792, 780, 786, 778, 767, 771, 767, 766, 755, 763, 762, 
##     760, 754, 758, 757, 744, 750, 748, 752, 751, 749, 749, 758, 
##     764, 778, 772, 784, 752, 745, 657, 565, 542, 501, 471, 403, 
##     319, 251, 210, 193, 148, 109, 66, 28, -83, -92, -108, 624, 
##     646, 673, 710, 724, 768, 781, 801, 812, 807, 807, 806, 794, 
##     798, 797, 794, 798, 791, 790, 785, 784, 781, 781, 780, 780, 
##     768, 759, 763, 756, 753, 757, 751, 746, 751, 745, 752, 782, 
##     790, 795, 805, 785, 701, 688, 667, 612, 598, 562, 508, 446, 
##     387, 329, 140, 95, 8, -1, -18, -26, -38, -43, -69, -90, -108, 
##     -110, -116, -140, -149, -154, -172, -182, -174, -166, -162, 
##     -111, -94, -76, -61, 42, 82, 98, 169, 194, 242, 346, 400, 
##     420, 476, 540, 664, 690, 726, 771, 788, 795, 803, 808, 817, 
##     815, 808, 783, 789, 772, 783, 775, 772, 765, 760, 769, 758, 
##     752, 746, 748, 751, 748, 745, 751, 743, 747, 743, 741, 741, 
##     737, 746, 766, 770, 775, 791, 793, 790, 797, 792, 771, 736, 
##     642, 593, 575, 506, 319, 302, 264, 241, 200, 135, 60, 43, 
##     9, -40, -82, -83, -89, -88, -94, -88, -84, -73, -62, -49, 
##     -46, -26, -6, -2, 71, 122, 178, 204, 244, 398, 464, 503, 
##     564, 584, 621, 670, 718, 732, 779, 810, 809, 809, 814, 818, 
##     820, 830, 823, 818, 820, 806, 800, 791, 783, 781, 776, 766, 
##     760, 750, 752, 755, 752, 754, 756, 754, 770, 804, 815, 814, 
##     820, 822, 817, 807, 749, 699, 541, 498, 480, 415, 378, 263, 
##     244, 217, 196, 149, 43, 751, 818, 822, 824, 828, 821, 822, 
##     810, 807, 801, 791, 782, 768, 771, 771, 761, 761, 762, 763, 
##     759, 757, 758, 750, 764, 763, 789, 800, 807, 802, 802, 759, 
##     751, 712, 706, 651, 616, 598, 548, 519, 465, 368, 349, 297, 
##     156, 115, 69, 22, -3, -17, -45, -56, -80, -149, -164, -169, 
##     -165, -171, -175, -178, -176, -175, -179, -180, -188, -177, 
##     -155, -150, -111, -52, 359, 415, 495, 514, 557, 584, 619, 
##     633, 720, 731, 761, 775, 779, 793, 814, 824, 827, 825, 831, 
##     824, -12, -36, -46, -112, -121, -132, -146, -145, -157, -155, 
##     -151, -156, -169, -164, -166, -168, -168, -170, -169, -166, 
##     -161, -162, -157, -155, -145, -137, -126, -122, -77, -43, 
##     4, 62, 96, 138, 959, 966, 969, 964, 976, 976, 973, 960, 965, 
##     967, 965, 972, 972, 967, 971, 963, 971, 972, 974, 975, 976, 
##     971, 975, 972, 969, 964, 966, 976, 973, 968, 977, 973, 969, 
##     964, 967, 962, 970, 967, 972, 978, 968, 969, 972, 974, 974, 
##     974, 972, 969, 975, 974, 976, 977, 979, 978, 978, 980, 981, 
##     978, 979, 981, 975, 981, 970, 976, 973, 979, 988, 978, 977, 
##     975, 982, 975, 975, 976, 979, 984, 981, 980, 981, 981, 990, 
##     998, 997, 991, 1010, 998, 997, 999, 1000, 992, 996, 1010, 
##     1010, 1020, 1020, 1010, 1020, 1010, 1020, 1020, 1010, 1020, 
##     1020, 1030, 1030, 1030, 1030, 1020, 1010, 998, 979, 859, 
##     247, 153, -325, -402, -448, -562, -592, -662, -679, -714, 
##     -713, -710, -699, -697, -694, -687, -687, -685, -689, -678, 
##     -673, -673, -665, -644, -618, -611, -574, -554, -525, -451, 
##     -297, -243, -157, -66, 281, 440, 510, 530, 703, 747, 788, 
##     866, 883, 906, 913, 934, 990, 1010, 1030, 1060, 1050, 1050, 
##     1060, 1060, 1060, 1080, 1080, 1090, 1100, 1110, 1100, 1100, 
##     1070, 1060, 1040, 950, 857, 681, 310, 161, -2, -109, -163, 
##     -423, -497, -533, -596, -646, -703, -722, -748, -772, -774, 
##     -775, -777, -771, -760, -734, -712, -691, -688, -693, -813, 
##     1110, 1100, 1100, 1100, 1110, 1110, 1120, 1120, 1120, 1120, 
##     1110, 1060, 1050, 1010, 979, 849, 777, 719, 580, 413, 364, 
##     259, 111, 6, -43, -138, -361, -490, -518, -601, -641, -667, 
##     -670, -679, -665, -674, -655, -660, -660, -669, -677, -672, 
##     -669, -683, -664, -647, -629, -538, -508, -425, -351, -317, 
##     -153, -106, 37, 128, 223, 1190, 1190, 1200, 1180, 1180, 1190, 
##     1180, 1120, 1010, 975, 897, 775, 522, 476, 206, -204, -365, 
##     -487, -579, -627, -710, -687, -655, -628, -633, -636, -678, 
##     -692, -699, -714, -732, -748, -712, -594, -535, 52, 207, 
##     304, 431, 480, 724, 802, 841, 937, 1070, 1110, 1130, -324, 
##     -236, -116, 128, 217, 417, 464, 533, 560, 781, 869, 901, 
##     976, 1020, 1060, 1090, 1120, 1140, 1140, 1130, 1130, 1150, 
##     1150, 1150, 1160, 1170, 1160, 1160, 1160, 1150, 1120, 1100, 
##     974, 900, 621, 504, 323, 122, -2, -55, -156, -412, -453, 
##     -536, -631, -736, -761, -757, -764, -732, -734, -715, -719, 
##     -711, -719, -724, -733, -742, -745, -760, -765, -782, -788, 
##     -677, -375, -183, -27, 122, 366, 545, 679, 789, 855, 883, 
##     988, 1020, 1040, 1080, 1120, 1150, 1180, 1180, 1180, 1190, 
##     1210, 1210, 1200, 1200, 1200, 1200, 1200, 1190, 1200, 1200, 
##     1190, 1190, 1170, 1160, 1140, 1060, 1040, 963, 766, 626, 
##     519, 454, 130, -305, -356, -445, -489, -633, -759, -795, 
##     -805, -801, -764, -733, -726, -742, -741, -755, -772, -795, 
##     -833, -844, -844, -842, -785, -751, -731, -678, -614, -577, 
##     -514, 1160, 1160, 1170, 1170, 1160, 1130, 965, 758, 622, 
##     513, 312, 196, 14, -112, -177, -302, -352, -575, -643, -668, 
##     -728, -758, -774, -786, -783, -784, -781, -766, -776, -800, 
##     -831, -851, -849, -830, -791, -765, -715, -626, -583, -286, 
##     490, 614, 692, 721, 895, 1170, 1190, 1170, 1150, 1150, 1150, 
##     1150, 1150, 1150, 1160, 1160, 1170, 1150, 1140, 1130, 1100, 
##     1050, 1010, 936, 914, 842, 622, 576, 471, 187, 7, -145, -292, 
##     -420, -535, -602, -730, -742, -769, -802, -809, -827, -834, 
##     -839, -832, -838, -870, -873, -860, -658, -525, -368, -125, 
##     -12, 28, 103, 189, 408, 447, 542, 656, 858, 967, 989, 1030, 
##     1170, 1200, 1240, 1290, 1320, 1310, 1270, 1250, 1240, 1240, 
##     1230, 1240, 1270, 1270, 1290, 1260, 795, 652, 582, -394, 
##     -804, -807, -787, -791, -799, -810, -815, -823, -807, -785, 
##     -681, -641, -516, -400, -358, -269, -187, -150, -58, -9, 
##     220, 320, 363, 534, 690, 799, 819, 864, 876, 948, 1000, 526, 
##     526, 541, 543, 527, 519, 534, 522, 518, 521, 516, 523, 531, 
##     525, 523, 522, 519, 523, 522, 514, 512, 518, 521, 524, 526, 
##     527, 529, 536, 536, 541, 545, 539, 541, 542, 538, 536, 535, 
##     536, 540, 539, 541, 533, 547, 542, 543, 538, 538, 542, 538, 
##     545, 541, 541, 542, 539, 541, 534, 531, 527, 537, 539, 537, 
##     530, 539, 532, 534, 535, 542, 530, 535, 537, 530, 535, 538, 
##     533, 542, 538, 532, 541, 535, 536, 533, 539, 534, 537, 540, 
##     536, 535, 536, 534, 538, 542, 538, 539, 536, 543, 539, 532, 
##     540, 536, 531, 542, 540, 536, 541, 545, 544, 538, 544, 534, 
##     535, 528, 534, 536, 535, 521, 532, 534, 532, 540, 534, 534, 
##     537, 539, 531, 530, 531, 526, 535, 535, 531, 534, 530, 537, 
##     535, 530, 531, 532, 535, 535, 528, 528, 530, 533, 528, 528, 
##     529, 530, 524, 525, 528, 531, 527, 521, 533, 530, 531, 526, 
##     529, 533, 537, 537, 540, 533, 538, 534, 534, 538, 531, 539, 
##     533, 538, 528, 529, 529, 538, 531, 538, 531, 532, 531, 532, 
##     524, 530, 533, 534, 537, 537, 529, 537, 531, 536, 535, 528, 
##     529, 532, 536, 528, 528, 528, 534, 529, 532, 533, 527, 536, 
##     528, 531, 531, 540, 534, 540, 531, 536, 532, 531, 531, 530, 
##     539, 535, 530, 536, 542, 549, 552, 541, 542, 538, 536, 543, 
##     535, 536, 538, 540, 544, 535, 539, 539, 539, 541, 538, 536, 
##     542, 537, 540, 544, 536, 542, 543, 547, 543, 542, 542, 545, 
##     552, 551, 539, 549, 542, 544, 545, 553, 557, 544, 546, 556, 
##     545, 539, 557, 546, 550, 550, 555, 557, 567, 559, 560, 560, 
##     562, 560, 564, 564, 561, 558, 560, 554, 561, 560, 561, 554, 
##     562, 562, 552, 556, 559, 555, 560, 562, 555, 560, 561, 561, 
##     561, 559, 569, 573, 566, 571, 567, 561, 562, 566, 559, 562, 
##     551, 562, 553, 560, 551, 560, 555, 564, 560, 560, 563, 563, 
##     563, 561, 558, 558, 560, 566, 563, 576, 578, 567, 581, 577, 
##     572, 566, 562, 567, 565, 565, 575, 572, 571, 572, 573, 568, 
##     562, 567, 563, 569, 574, 656, 657, 657, 658, 660, 650, 655, 
##     655, 655, 658, 652, 655, 647, 652, 655, 656, 657, 656, 664, 
##     658, 656, 648, 647, 653, 650, 653, 660, 653, 647, 647, 651, 
##     649, 652, 648, 650, 653, 652, 648, 645, 652, 654, 647, 654, 
##     654, 652, 652, 652, 648, 646, 654, 652, 645, 652, 651, 654, 
##     650, 652, 651, 660, 656, 653, 653, 653, 650, 654, 653, 653, 
##     654, 657, 649, 653, 654, 653, 658, 651, 651, 661, 654, 657, 
##     661, 653, 655, 653, 654, 652, 654, 654, 653, 660, 649, 647, 
##     650, 656, 650, 653, 654, 653, 653, 655, 655, 663, 660, 659, 
##     657, 657, 654, 659, 655, 654, 658, 657, 660, 658, 651, 651, 
##     655, 655, 652, 655, 648, 651, 650, 650, 650, 656, 648, 654, 
##     654, 654, 650, 659, 653, 659, 659, 659, 652, 650, 651, 652, 
##     657, 659, 655, 655, 656, 658, 659, 649, 653, 662, 657, 660, 
##     655, 656, 666, 662, 662, 660, 666, 662, 654, 653, 659, 656, 
##     657, 658, 660, 661, 659, 665, 655, 659, 662, 657, 667, 663, 
##     658, 660, 669, 667, 657, 659, 660, 669, 669, 665, 664, 659, 
##     661, 662, 660, 660, 665, 659, 658, 663, 668, 665, 667, 663, 
##     671, 672, 661, 670, 667, 667, 670, 671, 675, 676, 681, 681, 
##     689, 699, 700, 718, 721, 725, 725, 721, 722, 719, 716, 698, 
##     692, 682, 680, 663, 640, 626, 617, 556, 391, 362, 319, 165, 
##     95, 52, -22, -131, -229, -246, -330, -364, -445, -462, -476, 
##     -485, -500, -496, -499, -482, -475, -471, -467, -452, -449, 
##     -441, -437, -414, -408, -390, -367, -314, -305, -279, -233, 
##     -78, 33, 48, 115, 159, 198, 227, 267, 340, 412, 461, 551, 
##     610, 668, 697, 707, 713, 721, 733, 724, 727, 732, 725, 720, 
##     708, 704, 698, 702, 689, 689, 692, 688, 694, 691, 699, 702, 
##     707, 716, 711, 734, 716, 711, 684, 668, 606, 544, 375, 309, 
##     187, 158, 100, 67, -43, -316, -350, -419, -434, -469, -472, 
##     -467, -351, -343, -316, -295, -234, -189, -104, -41, 25, 
##     137, 246, 381, 391, 466, 549, 571, 619, 673, 676, 695, 714, 
##     725, 732, 737, 737, 748, 749, 742, 742, 729, 718, 727, 722, 
##     726, 743, 750, 742, 688, 668, 566, 502, 425, 298, 152, 5, 
##     -83, -114, -166, -215, -386, -401, -434, -445, -414, -402, 
##     -299, -273, -206, -159, -97, 34, 69, 124, 152, 285, 369, 
##     423, 667, 670, 713, 718, 729, 733, 742, 740, 736, 729, 722, 
##     711, 707, 711, 705, 708, 731, 743, 752, 766, 762, 707, 666, 
##     621, 545, 521, 402, 375, 318, 259, 166, 136, 12, -131, -173, 
##     -218, -248, -296, -347, -414, -447, -473, -443, -430, -390, 
##     -309, -279, -224, -36, 8, 159, 251, 432, 591, 687, 700, -136, 
##     -179, -235, -345, -443, -458, -448, -415, -397, -361, -338, 
##     -245, -168, 118, 157, 314, 410, 462, 545, 581, 638, 673, 
##     690, 704, 719, 729, 736, 736, 731, 729, 689, 680, 667, 654, 
##     655, 652, 654, 651, 663, 685, 693, 718, 719, 734, 740, 741, 
##     738, 718, 690, 667, 323, 265, 163, 97, 16, -21, -70, -125, 
##     -154, -190, -252, -369, -418, -441, -439, -432, -413, -347, 
##     -330, -291, -223, -115, -29, 24, 56, 127, 152, 209, 265, 
##     301, 365, 500, 540, 564, 686, 704, 727, 735, 748, 740, 743, 
##     743, 741, 741, 729, 727, 724, 723, 711, 711, 699, 691, 684, 
##     696, 705, 736, 752, 743, 725, 700, 687, 659, 649, 598, 476, 
##     447, 388, 226, 141, -68, -104, -200, -386, -414, -441, -448, 
##     -446, -437, -410, -384, -303, -248, -126, -96, 48, 295, 449, 
##     493, 514, 587, 606, 627, 651, 687, 694, 706, 720, 737, 739, 
##     743, 730, 734, 730, 722, 731, 723, 700, 695, 690, 694, 695, 
##     715, 718, 721, 741, 753, 739, 691, 670, 601, 474, 257, 203, 
##     147, -47, -76, -119, -190, -239, -301, -367, -371, -347, 
##     -298, -275, -250, -135, -63, -3, 570, 567, 564, 560, 561, 
##     566, 568, 571, 565, 569, 563, 562, 566, 558, 561, 555, 562, 
##     560, 567, 565, 569, 568, 569, 560, 573, 559, 563, 559, 562, 
##     556, 558, 556, 561, 564, 564, 568, 567, 561, 560, 568, 568, 
##     565, 566, 566, 562, 560, 559, 557, 556, 558, 556, 555, 558, 
##     572, 564, 565, 558, 561, 560, 555, 560, 550, 552, 557, 553, 
##     561, 561, 562, 565, 560, 562, 561, 553, 560, 560, 559, 558, 
##     560, 557, 558, 563, 557, 560, 558, 562, 560, 559, 558, 559, 
##     561, 560, 569, 559, 560, 559, 557, 552, 556, 563, 552, 558, 
##     557, 556, 555, 560, 567, 556, 558, 561, 561, 561, 565, 569, 
##     557, 555, 561, 560, 565, 563, 565, 561, 563, 560, 563, 566, 
##     559, 566, 560, 558, 562, 559, 564, 563, 567, 559, 563, 565, 
##     563, 556, 561, 561, 561, 557, 556, 559, 557, 558, 557, 564, 
##     557, 560, 556, 552, 560, 563, 558, 556, 559, 562, 555, 547, 
##     553, 564, 559, 551, 557, 561, 552, 556, 547, 551, 551, 559, 
##     556, 559, 561, 557, 552, 563, 561, 556, 561, 560, 559, 564, 
##     569, 568, 568, 562, 561, 555, 561, 557, 560, 551, 553, 556, 
##     556, 550, 554, 560, 559, 559, 558, 562, 554, 560, 556, 549, 
##     549, 557, 559, 550, 552, 556, 560, 554, 561, 562, 554, 546, 
##     549, 549, 548, 549, 544, 545, 549, 544, 545, 551, 554, 551, 
##     552, 556, 557, 553, 551, 548, 550, 555, 554, 552, 552, 556, 
##     557, 555, 560, 561, 559, 563, 559, 557, 559, 565, 557, 560, 
##     559, 561, 562, 563, 562, 564, 564, 559, 570, 560, 564, 567, 
##     566, 562, 564, 564, 568, 564, 561, 559, 558, 560, 566, 558, 
##     559, 565, 558, 570, 561, 561, 561, 568, 564, 557, 561, 563, 
##     560, 564, 557, 561, 567, 566, 554, 557, 560, 561, 559, 563, 
##     567, 562, 560, 559, 560, 563, 559, 560, 555, 561, 561, 566, 
##     562, 568, 565, 562, 567, 564, 567, 567, 567, 566, 564, 584, 
##     597, 608, 623, 651, 665, 686, 716, 732, 768, 795, 798, 716, 
##     646, 539, 490, 465, 399, 318, 247, 127, 83, 64, -16, -70, 
##     -101, -133, 18, 81, 162, 302, 330, 370, 419, 561, 570, 627, 
##     702, 754, 768, 774, 797, 803, 797, 773, 733, 731, 675, 662, 
##     645, 636, 609, 604, 630, 642, 652, 674, 705, 744, 788, 803, 
##     798, 780, 767, 562, 496, 380, 358, 240, 190, 167, 97, 58, 
##     -125, -114, -116, -85, -48, 6, 21, 167, 268, 308, 396, 528, 
##     721, 747, 785, 795, 799, 788, 770, 710, 639, 637, 627, 632, 
##     627, 638, 664, 669, 688, 720, 749, 801, 795, 768, 726, 658, 
##     611, 535, 401, 375, 237, 183, -19, -192, -176, 47, 69, 128, 
##     205, 274, 362, 432, 717, 739, 760, 794, 807, 802, 786, 771, 
##     756, 722, 691, 652, 633, 620, 615, 614, 622, 666, 697, 755, 
##     773, 795, 807, 798, 776, 769, 614, 525, 333, 262, 104, -30, 
##     -149, -161, -179, -191, -195, -184, -181, -116, -95, -50, 
##     15, 42, 100, 176, 309, 345, 399, 516, 596, 694, 736, 783, 
##     798, 798, 785, 745, 719, 706, 628, 627, 642, 666, 678, 758, 
##     785, 800, 797, 778, 759, 683, 518, 350, 124, 82, 19, -51, 
##     -193, -193, -139, -105, -72, -24, 101, 191, 248, 430, 562, 
##     603, 657, 733, 758, 786, 784, 775, 739, 717, 640, 615, 610, 
##     659, 681, 683, 701, 730, 747, 758, 780, 801, 799, 786, 764, 
##     749, 615, 541, 402, 344, 250, 194, 105, 48, -79, -109, -127, 
##     -121, -117, -54, 42, 66, 114, 168, 408, 445, 502, 547, 655, 
##     694, 694, 752, 813, 775, 761, 712, 678, 604, 586, 587, 594, 
##     609, 606, 650, 659, 670, 681, 702, 727, 745, 789, 801, 799, 
##     763, 739, 713, 668, 618, 595, 533, 499, 449, 394, 292, 213, 
##     155, 2, -54, -54, -47, -22, 15, 338, 362, 510, 558, 701, 
##     750, 807, 810, 756, 744, 726, 699, 640, 641, 629, 629, 641, 
##     650, 653, 663, 687, 749, 769, 775, 803, 799, 786, 766, 725, 
##     679, 508, 456, 424, 291, 261, 66, 42, -5, -54, -115, -120, 
##     -98, 1, 124, 191, 213, 274, 465, 652, 686, 749, 775, 797, 
##     800, 811, 798, 709, 675, 666, 637, 631, 623, 614, 626, 635, 
##     638, 668, 675, 717, 762, 772, 799, 792, 760, 747, 653, 626, 
##     555, 231, 199, 132, 57, -105, -138, -177, -221, -160, -141, 
##     -18, 154, 183, 356, 418, 584, 683, 732, 736, 767, 773, 804, 
##     805, 808, 804, 775, 682, 674, 661, 644, 615, 599, 608, 642, 
##     695, 704, 802, 775, 493, 246, 213, 55, 5, -166, -183, -174, 
##     -139, -123, -86, -54, 97, 218, 422, 502, 575, 688, 727, 784, 
##     795, 805, 918, 913, 909, 927, 927, 935, 942, 942, 951, 961, 
##     958, 947, 956, 947, 954, 952, 946, 958, 955, 951, 954, 957, 
##     957, 954, 956, 962, 961, 960, 957, 958, 957, 952, 948, 956, 
##     956, 956, 952, 953, 953, 946, 939, 955, 950, 954, 957, 958, 
##     958, 957, 958, 962, 956, 957, 958, 958, 814, 811, 818, 789, 
##     734, 721, 567, 536, 453, 417, 365, 284, 220, 73, 27, 822, 
##     827, 824, 812, 814, 797, 790, 778, 783, 775, 777, 769, 770, 
##     771, 763, 761, 766, 775, 777, 787, 794, 797, 810, 5, -2, 
##     -38, -56, -50, -58, -59, -52, -28, -10, 15, 40, 173, 316, 
##     339, 387, 461, 532, 594, 674, -149, -148, -143, -140, -147, 
##     -130, -115, -97, -53, -21, -9, 59, 80, 134, 199, 343, 386, 
##     455, 464, 506, 607, 179, 125, 103, 44, -6, -55, -98, -125, 
##     -142, -155, -181, -206, -225, -230, -238, -225, -214, -160, 
##     -156, -130, -36, 722, 728, 714, 726, 711, 721, 719, 718, 
##     715, 724, 719, 720, 715, 717, 721, 720, 717, 716, 717, 721, 
##     719, 716, 720, 710, 716, 722, 727, 717, 724, 727, 732, 726, 
##     728, 729, 731, 733, 740, 737, 743, 739, 721, 721, 713, 719, 
##     720, 717, 727, 723, 726, 731, 722, 720, 722, 724, 731, 720, 
##     732, 723, 601, 598, 602, 606, 607, 605, 602, 604, 604, 606, 
##     610, 606, 606, 604, 603, 609, 599, 607, 608, 607, 602, 604, 
##     608, 609, 607, 606, 605, 613, 606, 600, 602, 603, 601, 601, 
##     609, 603, 607, 600, 610, 610, 604, 598, 610, 603, 596, 603, 
##     605, 598, 599, 599, 600, 599, 601, 604, 608, 609, 608, 602, 
##     605, 600, 604, 607, 607, 608, 609, 605, 609, 598, 596, 598, 
##     593, 604, 600, 604, 599, 602, 599, 602, 607, 599, 604, 604, 
##     606, 603, 604, 606, 608, 599, 600, 599, 604, 591, 589, 590, 
##     596, 593, 591, 586, 591, 594, 592, 587, 593, 594, 590, 586, 
##     589, 596, 597, 602, 600, 599, 594, 599, 605, 598, 603, 599, 
##     595, 599, 596, 598, 600, 602, 596, 593, 594, 594, 589, 597, 
##     593, 590, 592, 593, 593, 593, 596, 584, 581, 577, 574, 576, 
##     595, 589, 596, 603, 592, 587, 598, 597, 602, 596, 594, 600, 
##     600, 602, 606, 597, 601, 598, 593, 594, 593, 598, 593, 598, 
##     593, 606, 598, 595, 593, 600, 595, 599, 681, 700, 712, 730, 
##     737, 739, 757, 780, 802, 789, 784, 767, 764, 756, 748, 746, 
##     743, 736, 733, 727, 733, 737, 739, 743, 738, 734, 731, 732, 
##     741, 744, 747, 742, 753, 745, 743, 749, 743, 742, 743, 749, 
##     744, 742, 741, 746, 746, 751, 748, 749, 744, 747, 751, 742, 
##     747, 745, 746, 746, 755, 745, 746, 747, 747, 752, 752, 747, 
##     749, 747, 751, 748, 749, 752, 753, 743, 747, 742, 736, 738, 
##     729, 728, 727, 723, 725, 725, 724, 715, 714, 723, 717, 726, 
##     720, 724, 721, 732, 737, 740, 781, 778, 780, 780, 780, 753, 
##     753, 743, 729, 724, 708, 696, 702, 695, 687, 686, 688, 680, 
##     681, 664, 674, 671, 669, 663, 663, 662, 663, 657, 671, 666, 
##     664, 665, 665, 659, 671, 678, 676, 677, 684, 677, 682, 700, 
##     696, 710, 711, 720, 721, 733, 740, 755, 749, 739, 723, 724, 
##     718, 700, 679, 675, 647, 621, 614, 563, 484, 462, 395, 333, 
##     235, 149, 84, 59, -3, -152, -175, -238, -251, -224, -172, 
##     -145, -126, -76, -35, -27, 7, 28, 148, 209, 294, 373, 428, 
##     457, 544, 624, 683, 742, 757, 776, 764, 756, 744, 726, 725, 
##     714, 711, 714, 744, 742, 775, 781, 780, 775, 765, 742, 723, 
##     709, 656, 499, 465, 400, 358, 259, 210, 45, -45, -75, -132, 
##     -218, -209, -205, -176, -151, -140, -123, -89, -80, -46, 
##     -1, 37, 81, 131, 172, 251, 348, 414, 472, 764, 743, 722, 
##     638, 625, 608, 584, 567, 473, 431, 404, 385, 359, 343, 312, 
##     298, 207, 98, -122, -128, -138, -122, -107, -82, -50, -11, 
##     68, 90, 196, 228, 253, 367, 411, 499, 557, 683, 697, 724, 
##     729, 749, 755, 767, 779, 778, 770, 557, 527, 498, 456, 331, 
##     314, 284, 171, 124, 77, -28, -39, -99, -110, -134, -148, 
##     -172, -180, -184, -133, -103, 71, 84, 144, 187, 220, 250, 
##     286, 329, 374, 422, 435, 564, 602, 630, 668, 694, 701, 730, 
##     750, 769, 773, 778, 769, 756, 763, 719, 715, 716, 710, 713, 
##     721, 722, 735, 754, 761, 773, 775, 784, 788, 759, 727, 717, 
##     681, 641, 611, 567, 513, 479, 420, 303, 195, -8, -32, -61, 
##     -141, -191, -180, -185, -47, 42, 51, 78, 115, 169, 191, 287, 
##     326, 521, 618, 716, 738, 753, 771, 775, 778, 770, 759, 751, 
##     738, 727, 723, 689, 690, 704, 722, 723, 729, 735, 742, 753, 
##     756, 760, 761, 782, 772, 748, 747, 726, 721, 701, 674, 664, 
##     637, 597, 559, 396, 268, 246, 195, 162, 83, 73, 44, -42, 
##     -53, -157, -154, -155, -132, -123, -96, -74, -65, -36, 47, 
##     204, 312, 436, 498, 516, 549, 652, 679, 682, 700, 715, 722, 
##     755, 755, 770, 773, 776, 765, 744, 744, 743, 722, 716, 706, 
##     704, 693, 679, 684, 666, 673, 680, 683, 694, 724, 726, 739, 
##     762, 782, 774, 780, 767, 738, 675, 666, 645, 600, 571, 552, 
##     468, 437, 381, 327, 271, 222, 172, 144, 103, 74, 4, -8, -53, 
##     -67, -145, -157, -194, -213, -238, -242, -244, -237, -223, 
##     -211, -185, -113, -101, -60, 46, 75, 120, 271, 324, 380, 
##     436, 513, 601, 655, 683, 715, 712, 776, 773, 741, 752, 755, 
##     761, 600, 555, 530, 469, 424, 389, 358, 323, 317, 273, 216, 
##     209, 111, 69, -3, -31, -173, -202, -230, -247, -254, -288, 
##     -278, -283, -257, -223, -213, -189, -163, -123, -81, -27, 
##     -9, 65, 141, 171, 237, 286, 328, 348, 389, 413, 500, 517, 
##     670, 688, 710, 161, 306, 365, 376, 433, 496, 541, 553, 634, 
##     645, 672, 689, 728, 723, 773, 793, 789, 797, 811, 818, 823, 
##     832, 822, 816, 819, 810, 807, 801, 805, 808, 802, 792, 793, 
##     800, 796, 801, 804, 805, 807, 810, 806, 795, 786, 757, 758, 
##     719, 690, 669, 445, 425, 320, 259, 241, 189, 148, 136, 109, 
##     42, 2, -64, -73, -114, -135, -129, -136, -137, -126, -133, 
##     -128, -130, -133, -129, -120, -118, -109, -107, -99, -78, 
##     -23, 3, 20, 55, 82, 179, 235, 266, 301, 322, 365, 428, 529, 
##     556, 607, 701, 713, 769, 769, 804, 820, 828, 830, 827, 843, 
##     834, 769, 759, 762, 749, 738, 743, 731, 720, 720, 690, 675, 
##     671, 665, 670, 674, 686, 694, 702, 723, 727, 738, 757, 747, 
##     745, 732, 721, 715, 706, 715, 712, 727, 732, 735, 739, 745, 
##     761, 759, 760, 765, 765, 756, 751, 730, 726, 713, 700, 693, 
##     645, 639, 612, 614, 659, 657, 656, 657, 658, 654, 647, 651, 
##     651, 656, 655, 657, 655, 658, 655, 661, 655, 661, 657, 657, 
##     660, 661, 656, 737, 737, 739, 744, 749, 748, 748, 753, 743, 
##     748, 748, 751, 753, 758, 768, 771, 764, 773, 781, 776, 763, 
##     602, 597, 596, 597, 603, 595, 604, 607, 612, 619, 614, 610, 
##     629, 631, 634, 641, 654, 607, 600, 607, 603, 602, 604, 613, 
##     607, 610, 605, 603, 610, 605, 605, 600, 611, 609, 604, 559, 
##     566, 553, 557, 558, 560, 557, 559, 555, 555, 558, 548, 556, 
##     552, 556, 552, 557, 560, 558, 553, 548, 555, 553, 559, 537, 
##     547, 543, 543, 538, 546, 546, 545, 542, 545, 544, 544, 553, 
##     537, 525, 536, 539, 545, 549, 545, 559, 562, 555, 552, 546, 
##     551, 541, 540, -469, -353, -267, -168, 25, 115, 594, 785, 
##     878, 1030, 1190, 1180, 1150, 1150, -119, -249, -330, -410, 
##     -452, -668, -679, -670, -662, -634, -628, -628, -644, -660, 
##     -667, -677, -700, -712, -718, -697, -625, -598, -543, -448, 
##     -407, 1210, 1230, 1240, 1230, 1230, 1230, 1230, 1220, 1220, 
##     1220, 1210, 1210, 1210, 1210, 1210, 1200, 1190, 1170, 917, 
##     844, 186, 24, 429, 743, 775, 850, 872, 1010, 1050, 1100, 
##     1150, 1140, 1120, 1110, 1110, 1110, 1140, 1140, 1150, 1160, 
##     1160, 1170, 1170, 1180, 1180, 1170, 1170, 1180, 1180, -789, 
##     -783, -602, -580, -526, -342, -299, -227, -96, -27, 16, 179, 
##     218, 351, 422, 488, 519, 574, 610, 777, 855, 1080, 1120, 
##     1120, 1120, 984, 978, 975, 981, 985, 986, 978, 981, 983, 
##     985, 981, 976, 968, 983, 979, 982, 976, 988, 977, 975, 977, 
##     975, 979, 974, 979, 979, 960, 967, 1010, 997, 989, 976, 929, 
##     -0.123, 922, 915, 909, 908, 961, 961, 960, 976, 968, 965, 
##     958, 947, 943, 933, 929, 928, 915, 916, 923, 923, 917, 920, 
##     924, 924, 929, 927, 928, 930, 938, 935, 934, 942, 954, 958, 
##     951, 957, 940, 932, 927, 951, 965, 967, 956, 950, 954, 955, 
##     942, 949, 940, 935, 926, 938, 930, 926, 934, 930, 925, 930, 
##     931, 942, 923, 930, 922, 918, 725, 747, 769, 787, 783, 797, 
##     791, 798, 782, 778, 770, 770, 773, 766, 779, 780, 787, 777, 
##     779, 670, 662, 624, 565, 509, 446, 326, -326, -101, 69, 212, 
##     306, 360, 473, 524, 605, 636, 679, 707, 734, 770, 789, 788, 
##     -318, -6, 20, 159, 215, 417, 479, 553, 634, 644, 715, 750, 
##     777, 773, 785, 796, 793, 794, 792, 784, 226, 177, 31, -92, 
##     -170, -232, -332, -377, -297, -213, -134, -8, 126, 196, 335, 
##     496, 540, 643, 660, 748, 739, 738, 752, 748, 756, 755, 765, 
##     761, 757, 761, 777, 769, 775, 776, 780, 771, 767, 755, 753, 
##     749, 741, 720, 697, 687, 631, 596, 559, 311, 743, 749, 729, 
##     724, 721, 719, 720, 709, 701, 694, 680, 696, 719, 728, 733, 
##     738, 743, 738, 730, 709, 674, 644, 567, 540, 450, 392, 334, 
##     236, 155, 95, 76, 17, -37, 775, 776, 782, 782, 786, 790, 
##     794, 787, 786, 743, 684, 655, 642, 513, 472, 442, 339, 305, 
##     165, 111, -53, -88, -150, -289, -321, -317, -291, -158, -96, 
##     -69, 30, 95, 260, 365, 520, 661, 692, 701, 721, 759, 766, 
##     785, 787, 810, 807, 805, 800, 799, 797, 791, 784, 784, 792, 
##     790, 795, 785, 789, 786, 786, 769, 749, 721, 685, 545, 507, 
##     478, 425, 289, 113, -47, -112, -174, -199, -370, -376, -365, 
##     -324, -279, -227, -212, -143, 32, 66, 766, 766, 769, 770, 
##     771, 773, 773, 781, 773, 774, 778, 774, 766, 768, 770, 778, 
##     772, 775, 773, 773, 784, 777, 782, 775, 772, 772, 771, 781, 
##     773, 771, 775, 772, 775, 786, 785, 785, 790, 796, 794, 789, 
##     781, 766, 756, 671, 573, 539, 482, 305, 19, -126, -161, -230, 
##     -404, -434, -486, -556, -619, -623, -601, -466, -415, -390, 
##     8, 186, 390, 644, 714, 746, 766, 809, 800, 803, 801, 781, 
##     766, 751, 747, 754, 740, 753, 750, 755, 763, 763, 773, 785, 
##     784, 786, 711, 474, 418, 307, 145, -20, -97, -180, -594, 
##     -602, -607, -603, -584, -549, -470, -446, -392, -303, -240, 
##     -171, -46, 36, 71, 191, 264, 334, 373, 450, 505, 654, 699, 
##     720, 775, 807, 804, 801, 789, 775, 755, 754, 752, 762, 767, 
##     775, 775, 791, 787, 726, 658, 629, 476, 367, 292, 175, 109, 
##     -168, -201, -262, -482, -515, -614, -628, -652, -670, -656, 
##     -648, -631, -586, -556, -535, -426, -372, -303, 160, 274, 
##     340, 375, 440, 494, 623, 708, 153, 68, -152, -301, -403, 
##     -471, -550, -581, -610, -611, -613, -587, -504, -353, -285, 
##     -142, -33, 246, 387, 464, 560, 593, 733, 807, 813, 798, 795, 
##     782, 739, 737, 755, 780, 785, 792, 792, 788, 770, 752, 742, 
##     612, 527, 492, 415, 347, 222, 149, 16, -65, -205, -298, -558, 
##     -583, -609, -631, -657, -668, -667, -658, -639, -623, -573, 
##     -503, -443, -246, -84, 41, 309, 353, 559, 626, 747, 798, 
##     804, 800, 735, 736, 732, 729, 732, 737, 750, 753, 764, 763, 
##     768, 771, 781, 765, 670, 617, 506, 433, 207, 70, -157, -286, 
##     -397, -648, -643, -574, -20, 84, 126, 805, 798, 791, 477, 
##     392, 271, 176, 37, -98, -334, -420, -503, -547, -648, -663, 
##     -657, -644, -559, -524, -482, -349, -318, -246, -175, -132, 
##     243, 403, 512, 580, 604, 659, 722, 766, 801, 805, 812, 803, 
##     790, 786, 756, 754, 737, 722, 725, 715, 712, 704, 715, 715, 
##     774, 787, 778, 768, 626, 555, 414, 334, 109, 9, -122, -252, 
##     -376, -451, -523, -551, -668, -671, -649, -656, -645, -607, 
##     -581, -526, -446, -300, -153, 118, 174, 273, 365, 401, 553, 
##     589, 646, 697, 759, 61, 1050, 1100, 1160, 1160, 1150, 1140, 
##     1140, 1130, 1130, 1130, 1120, 1110, 1110, 1110, 1120, 1150, 
##     1170, 1170, 1180, 1180, 1180, 1180, 1180, 1190, 1190, 1180, 
##     1170, 1170, 1170, 1150, 1130, 1120, 1070, 1020, 958, 926, 
##     857, 787, 668, 535, 426, -311, -469, -586, -655, -668, -703, 
##     -716, -657, -641, -607, -548, -504, -427, -399, -288, -212, 
##     -115, -59, -22, -78, -208, -319, -382, -565, -617, -642, 
##     -646, -619, -567, -544, -404, -319, -191, -95, -41, 59, 107, 
##     342, 586, 800, 840, 1020, 1090, 1150, 1170, 1210, 1200, 1200, 
##     1190, 1180, 1170, 1170, 1180, 1180, 1180, 1180, 1160, 1120, 
##     1090, 1020, 942, 787, 661, 475, 332, 78, -464, -600, -697, 
##     -736, -744, -773, -750, -739, -720, -573, -520, -487, -342, 
##     -288, -258, -211, 825, 1070, 1120, 1160, 1180, 1170, 1170, 
##     1180, 1170, 1180, 1180, 1190, 1190, 1190, 1180, 1190, 1180, 
##     1180, 1160, 1170, 1160, 995, 904, 750, 628, 569, 424, 353, 
##     213, 82, -112, -223, -273, -422, -505, -593, -672, -676, 
##     -671, -623, -591, -491, -475, -405, -362, -286, -226, -145, 
##     -97, -77, -55, -162, -234, -357, -440, -476, -615, -682, 
##     -731, -748, -764, -727, -706, -651, -462, -375, -86, 437, 
##     509, 553, 626, 733, 863, 909, 974, 1010, 1140, 1190, 1190, 
##     1190, 1180, 1180, 1170, 1170, 1170, 1180, -686, -667, -656, 
##     -508, -483, -446, -337, -253, -225, -54, -10, -58, -161, 
##     -247, -353, -432, -454, -529, -689, -771, -783, -768, -601, 
##     -204, -93, 19, 192, 299, 445, 492, 646, 864, 1050, 1090, 
##     1140, 1140, 1150, 1140, 1140, 1130, 1130, 1140, 1140, 1160, 
##     1170, 1170, 1150, 1150, 1160, 1140, 1140, 966, 819, 760, 
##     42, -109, -171, -388, -440, -549, -617, -662, -724, -751, 
##     -761, -765, -704, -641, -503, -445, -310, -183, -90, -53, 
##     -134, -479, -619, -654, -706, -795, -810, -772, -631, -463, 
##     -356, -59, 194, 347, 387, 545, 669, 710, 884, 922, 999, 1190, 
##     1190, 1190, 1180, 1160, 1150, 1140, 1140, 1130, 1130, 1130, 
##     1130, 1130, 1120, 1040, 1000, 594, 17, -55, -295, -638, -672, 
##     -773, -804, -765, -669, -503, -442, -412, -331, -215, 6, 
##     -5, -165, -283, -361, -408, -473, -548, -644, -702, -719, 
##     -763, -838, -847, -831, -783, -528, -262, -140, -74, 43, 
##     221, 340, 493, 825, 870, 964, 1090, 1150, 1190, 1180, 1170, 
##     1150, 1140, 1150, 1160, 1150, 1170, -450, -569, -634, -663, 
##     -723, -761, -796, -809, -814, -811, -735, -648, -559, -503, 
##     -399, -205, 24, 301, 501, 624, 852, 1130, 1190, 1180, 1160, 
##     1150, 1140, 1130, 1130, 1140, 1140, 1140, 1140, 1150, 1140, 
##     1140, 1010, 918, 885, 789, 611, 480, 417, -438, -672, -691, 
##     -757, -761, -765, -707, -686, -630, -519, -391, -349, -299, 
##     -104, -93, -75, -123, -177, -254, -297, -501, -714, -753, 
##     -720, -667, -632, -570, -354, -298, -138, 106, 301, 355, 
##     96, 213, 384, 496, 541, 595, 608, 672, 687, 705, 720, 726, 
##     722, 740, 739, 731, 691, 697, 689, 696, 698, 715, 730, 736, 
##     732, 734, 723, 704, 685, 675, 614, 557, 425, 368, 281, 231, 
##     145, 126, -54, -112, -127, -238, -356, -402, -426, -431, 
##     -439, -394, -363, -311, -210, 45, 317, 362, 439, 520, 567, 
##     635, 640, 658, 670, 687, 691, 709, 718, 721, 733, 734, 710, 
##     701, 697, 682, 673, 676, 690, 690, 707, 713, 719, 725, 687, 
##     652, 620, 578, 482, 459, 358, 121, 31, -58, -112, -149, -416, 
##     -426, -447, -424, -415, -392, -380, -361, -336, -329, -251, 
##     -221, -154, -82, 61, 146, 202, 279, 410, 488, 590, 657, 701, 
##     700, 704, 706, 704, 709, 708, 698, 703, 705, 701, 699, 706, 
##     705, 700, 703, 708, 704, 700, 709, 706, 698, 706, 701, 705, 
##     703, 707, 705, 703, 707, 711, 707, 708, 712, 706, 703, 710, 
##     711, 705, 716, 707, 714, 710, 708, 711, 722, 724, -615, -592, 
##     -570, -511, -449, -336, -167, -130, -53, 10, 52, 125, 294, 
##     448, 529, 584, 600, 678, 694, 717, 725, 734, 734, 730, 713, 
##     708, 701, 703, 700, 691, 695, 710, 717, 713, 712, 677, 627, 
##     524, 346, 302, -15, -72, -281, -348, -503, -560, -620, -647, 
##     -653, -670, -672, -669, -654, -653, -648, -654, -637, -612, 
##     -481, -295, -98, 193, 274, 386, 450, 480, 531, 595, 642, 
##     730, 736, 732, 729, 731, 720, 716, 709, 705, 706, 711, 716, 
##     720, 718, 728, 728, 717, 708, 653, 594, 448, 301, 266, 41, 
##     -123, -162, -235, -270, -340, 672, 724, 736, 738, 739, 737, 
##     733, 737, 727, 724, 723, 718, 725, 723, 735, 718, 705, 693, 
##     659, 596, 513, 451, 418, 262, 150, -60, -174, -311, -355, 
##     -544, -587, -633, -646, -674, -719, -720, -731, -726, -718, 
##     -721, -700, -692, -684, -642, -636, -601, -544, -504, -414, 
##     -317, 705, 622, 487, 392, 202, 151, -14, -141, -511, -545, 
##     -587, -619, -636, -667, -671, -658, -638, -618, -604, -399, 
##     -200, -110, 29, 115, 236, 459, 573, 660, 694, 707, 720, 736, 
##     737, 748, 754, 752, 748, 737, 737, 717, 720, 725, 733, 741, 
##     583, 298, 136, -54, -88, -388, -472, -503, -582, -606, -645, 
##     -688, -693, -709, 757, 749, 737, 741, 738, 746, 749, 747, 
##     749, 753, 747, 742, 663, 565, 527, 378, 326, 240, 201, 112, 
##     -9, -99, -292, -358, -392, -459, -495, -564, 607, 645, 672, 
##     736, 746, 753, 767, 769, 765, 769, 768, 760, 759, 757, 754, 
##     752, 754, 745, 729, 714, 644, 582, 511, 125, -54, -158, -233, 
##     -266, -456, -499, -570, -590, -658, -669, -675, -702, -705, 
##     -706, -707, -714, -707, -711, -710, -696, -690, -667, -483, 
##     -381, -262, -81, -36, 57, 133, 183, 257, 368, 576, 597, 636, 
##     683, 709, 739, 748, 724, 724, 707, 683, 685, 681, 697, 705, 
##     717, 719, 719, 704, 636, 458, 298, 73, 799, 786, 778, 762, 
##     737, 714, 698, 638, 627, 633, 637, 635, 652, 658, 662, 675, 
##     685, 695, 694, 701, 696, 703, 701, 697, 695, 694, 688, 688, 
##     688, 687, 686, 684, 690, 685, 685, 684, 682, 685, 679, 683, 
##     673, 679, 692, 732, 773, 793, 726, 457, 200, 133, 32, -341, 
##     -420, -454, -515, -588, -615, -609, -612, -604, -518, -476, 
##     -407, -32, 295, 532, 613, 679, 756, 797, 721, 689, 680, 649, 
##     637, 626, 641, 662, 713, 743, 776, 788, 797, 764, 555, 455, 
##     180, -193, -390, -490, -508, -599, -625, -623, -608, -591, 
##     -585, -555, -488, -431, -186, 792, 786, 752, 587, 431, 54, 
##     -304, -414, -571, -614, -619, -613, -605, -593, -588, -566, 
##     -461, -326, -284, -16, 209, 275, 404, 497, 663, 770, 800, 
##     749, 690, 661, 644, 653, 657, 727, 798, 798, 796, 784, 748, 
##     691, 661, 68, -92, -279, -463, -522, -548, -567, -599, -618, 
##     -633, -627, -620, -599, -566, -495, -441, -407, -331, -240, 
##     44, 210, 321, 489, 550, 650, 793, 799, 780, 743, 686, 681, 
##     678, 692, 740, 799, 791, 763, 681, 600, 495, 434, -30, -144, 
##     -486, -584, -646, -639, -603, -599, -556, -379, -303, -199, 
##     105, 291, 398, 446, 543, 628, 771, 800, 775, 747, 722, 707, 
##     659, 647, 695, 730, 754, 768, 791, 685, 647, 638, 634, 629, 
##     647, 657, 696, 730, 770, 781, 723, 354, 298, -29, -508, -620, 
##     -669, -659, -654, -585, -449, -373, -104, -44, 82, 276, 530, 
##     772, 797, 778, 732, 673, 642, 648, 657, 670, 694, 715, 741, 
##     797, 421, 216, -38, -207, -257, -347, -428, -657, -650, -643, 
##     -565, -499, -435, -406, -308, -160, -33, 106, 152, 263, 609, 
##     642, 789, 796, 806, 767, 735, 674, 650, 638, 630, 632, 642, 
##     655, 674, 711, 753, 794, 791, 753, 692, 546, 362, 177, 24, 
##     -85, -135, -237, -446, -480, -599, -624, -654, -658, -661, 
##     -638, -619, -421, -376, -285, -186, 316, 492, 702, 738, 801, 
##     779, 752, 722, 680, 635, 602, 589, 589, 119, 394, 438, 540, 
##     702, 726, 758, 785, 801, 794, 763, 689, 667, 653, 634, 631, 
##     631, 636, 647, 654, 670, 674, 703, 704, 703, 710, 706, 703, 
##     686, 675, 681, -80, -66, -45, -36, -24, -14, 3, 5, 27, 28, 
##     54, 79, 94, 120, 132, 178, 239, 457, 539, 783, 780, 780, 
##     777, 774, 771, 777, 775, 770, 766, 763, 766, 753, 758, 757, 
##     755, 747, 749, 749, 744, 747, 746, 749, 749, 750, 744, 737, 
##     738, 733, 732, 721, 725, 719, 706, 714, 707, 680, 689, 684, 
##     685, 678, 674, 676, 677, 676, 682, 685, 692, 700, 702, 695, 
##     699, 698, 710, 743, 771, 794, 807, 796, 784, 772, 755, 612, 
##     347, 225, 145, -77, -113, -214, -268, -339, -361, -449, -460, 
##     -559, -570, -579, -588, -589, -580, -589, -583, -586, -588, 
##     -577, -579, -578, -576, -552, -516, -385, -356, -304, -173, 
##     72, 190, 264, 299, 539, 610, 674, 757, 785, 784, 807, 818, 
##     822, 823, 819, 824, 813, 814, 807, 797, 778, 761, 755, 749, 
##     746, 748, 742, 740, 762, 767, 772, -456, -491, -512, -516, 
##     -531, -537, -544, -555, -555, -560, -557, -548, -548, -540, 
##     -522, -510, -459, -423, -362, -288, -260, -200, 161, 187, 
##     265, 302, 364, 756, 762, 759, 766, 814, 814, 794, 784, 740, 
##     543, 453, 320, 161, 121, 62, -40, -57, -204, -229, -274, 
##     -321, -364, -378, -463, -480, -495, -540, -547, -610, -617, 
##     -608, -615, -616, -613, -606, -594, -588, -574, -555, -519, 
##     -492, -465, -431, -316, -253, -212, 278, 314, 394, 576, 699, 
##     719, 764, 814, 834, 834, 842, 834, 816, 807, 804, 806, 802, 
##     793, 787, 778, 770, 774, 761, 753, 766, 769, 771, 771, 780, 
##     794, 787, 818, 817, 829, 827, 832, 821, 801, 797, 742, 666, 
##     630, 494, 377, 300, 200, 167, 93, -513, -323, -109, -68, 
##     11, 156, 257, 486, 623, 680, 734, 746, 768, 781, 809, 815, 
##     831, 830, 835, 822, 828, 816, 806, 796, 780, 782, 779, 769, 
##     757, 751, 757, 751, 766, 767, 769, 809, 808, -506, -537, 
##     -566, -573, -591, -600, -601, -609, -615, -623, -626, -622, 
##     -627, -614, -605, -613, -594, -529, -487, -415, -393, -291, 
##     -166, -79, 62, 202, 323, 586, 608, 658, 676, 685, 770, 801, 
##     798, 816, 827, 832, 834, 834, 835, 832, 840, 831, 836, 819, 
##     816, 802, 793, 782, 774, 767, 768, 770, 763, 775, 784, 792, 
##     799, 816, 822, 845, 828, 831, 806, 793, 772, 712, 686, 268, 
##     181, 39, -133, -169, -225, -252, -389, -480, -492, -519, 
##     -528, -535, -559, -565, -571, -575, -568, -574, -568, -566, 
##     -556, -534, -512, -442, -348, -265, -176, 163, 355, 420, 
##     497, 566, 607, 623, 661, 671, 695, 718, 749, 781, 786, 801, 
##     816, 819, 829, 838, 838, 846, 837, 835, 827, 819, 803, 793, 
##     785, 775, 775, 759, 757, 758, 753, 758, 763, 768, 771, 779, 
##     805, 803, 814, 818, 825, 826, 839, 827, 814, 778, 767, 699, 
##     542, 436, 393, 287, 186, 120, 78, -28, -77, -173, -217, -234, 
##     -287, -366, -382, -413, -426, -441, -453, -467, -477, -487, 
##     -528, -524, -533, -538, -540, -531, -515, -411, -260, 9, 
##     45, 478, 540, 627, 670, 760, 796, 797, 814, 834, 837, 825, 
##     828, 820, 814, 807, 799, 799, 785, 780, 779, 767, 755, 754, 
##     745, 744, 739, 729, 732, 732, 826, 824, 831, 827, 827, 815, 
##     797, 753, 705, 618, 567, 534, 349, 238, 174, 27, -39, -63, 
##     -134, -228, -294, -315, -366, -422, -432, 58, -12, -141, 
##     -167, -389, -398, -508, -563, -577, -631, -666, -681, -689, 
##     -689, -678, -675, -637, -570, 489, 508, 589, 626, 652, 743, 
##     762, 798, 812, 827, 829, 833, 840, 828, 837, 826, 831, 827, 
##     823, 816, 810, 803, 807, 795, 784, 791, 786, 780, 775, 768, 
##     767, 757, 801, 813, 794, 755, 704, 616, 449, 272, 180, 76, 
##     -54, -109, -190, -222, -282, -397, -417, 569, 690, 743, 751, 
##     776, 774, 820, 827, 830, 828, 831, 831, 813, 815, 807, 798, 
##     795, 790, 792, 791, 788, 787, 783, 774, -174, -163, -143, 
##     -84, -65, -31, 49, 126, 164, 176, 210, 231, 279, 449, 510, 
##     558, 637, 665, 707, 801, 798, 799, 797, 793, 793, 791, 793, 
##     794, 801, 810, 809, 804, 808, 823, 813, 826, 818, 823, 816, 
##     816, 799, 791, 762, 737, 719, 574, 518, 493, 737, 762, 765, 
##     751, 745, 743, 757, 759, 753, 755, 740, 738, 722, 715, 706, 
##     713, 708, 716, 720, 730, 737, 747, -161, -199, -233, -254, 
##     -262, -264, -233, -202, -139, -131, -98, -68, 76, 104, 143, 
##     163, 262, 287, 391, 411, 486, 538, 551, 586, 617, 628, 652, 
##     673, 693, 738, 778, 784, 792, 793, 791, 789, 787, 780, 780, 
##     777, 742, 732, 722, 719, 719, 710, 722, 727, 742, 748, 746, 
##     757, 773, 779, 780, 762, 746, 725, 682, 632, 507, 479, 370, 
##     340, 326, 258, 222, 206, 189, 165, 128, 91, 61, 21, -14, 
##     -55, -109, -120, -135, -166, -201, -248, -263, -295, -328, 
##     -332, -344, -354, -350, -350, -320, -197, -145, -80, -60, 
##     -28, 14, 57, 104, 178, 218, 258, 303, 351, 380, 471, 530, 
##     543, 578, 605, 630, 643, 685, 697, 715, 729, 779, 780, 793, 
##     785, 770, 778, 770, 765, 752, 748, 737, 734, 731, 737, 734, 
##     732, 735, 731, 732, 734, 741, 736, 732, 747, 733, 738, 738, 
##     740, 738, 739, 743, 747, 749, 773, 769, 750, 724, 718, 675, 
##     643, 591, 539, 522, 462, 375, 309, 285, 217, 156, 117, 24, 
##     -34, -70, -529, -486, -355, -264, -228, -42, 167, 253, 288, 
##     453, 518, 543, 652, 687, 700, 725, 757, 771, 773, 759, 752, 
##     729, 705, 689, 686, -200, -208, -304, -333, -370, -617, -632, 
##     -688, -698, -701, -700, -693, -697, -677, -655, -575, -525, 
##     -461, -412, -388, -259, -167, -131, -22, 66, 377, 440, 470, 
##     544, 604, 641, 659, 685, 719, 783, 775, 768, 773, 745, 739, 
##     709, 698, 687, 685, 673, 669, 663, 667, 670, 673, 685, 690, 
##     706, 733, 738, 743, 735, 728, 711, 696, 591, 518, 466, 307, 
##     181, -22, -152, -189, -212, -259, -362, -382, -423, -468, 
##     -502, -527, -532, -582, -598, -658, -659, -653, -638, -624, 
##     -623, -612, -609, -585, -575, -558, -440, -292, -114, -87, 
##     3, 48, 111, 212, 263, 445, 498, 550, 698, 742, 749, 755, 
##     774, 775, 778, 775, 769, 732, 722, 700, 689, 661, 624, 627, 
##     623, 638, 667, 664, 674, 687, 716, 735, 763, 775, 778, 783, 
##     781, 773, 704, 636, 544, 383, 215, 150, 51, 27, -25, -103, 
##     -200, -348, -391, -417, -449, -485, -525, -565, -574, -594, 
##     -615, -625, -625, -632, -630, -630, -619, -600, -592, -562, 
##     -495, -477, -264, -188, -137, -103, -50, -19, 39, 193, 277, 
##     364, 494, 614, 647, 706, 719, 778, 782, 780, 781, 784, 777, 
##     765, 748, 390, 284, 247, 185, 98, 72, -92, -120, -158, -213, 
##     -253, -271, -313, -371, -452, -475, -533, -632, -644, -658, 
##     -649, -647, -633, -625, -622, -577, -566, -549, -528, -509, 
##     -485, -446, -388, -335, -254, -199, -173, -112, 156, 386, 
##     413, 484, 577, 688, 718, 738, 768, 754, 759, 751, 767, 754, 
##     755, 750, 736, 725, 718, 715, 711, 700, 692, 687, 686, 684, 
##     689, 690, 695, 696, 768, 784, -477, -507, -531, -543, -555, 
##     -566, -631, -654, -652, -640, -611, -606, -590, -540, -466, 
##     -400, -345, -318, -252, -99, -29, 5, 75, 153, 190, 259, 372, 
##     450, 509, 667, 711, 721, 747, 763, 783, 780, 768, 766, 756, 
##     726, 696, 674, 666, 665, 669, 673, 683, 689, 695, 714, 726, 
##     738, 752, 752, 786, 801, 795, 789, 785, 772, 752, 732, 722, 
##     559, 477, 392, 329, 100, -126, -177, -226, -276, -303, -432, 
##     -445, -556, -595, -620, -622, -636, -615, -592, -544, -529, 
##     -495, -471, -446, -348, -298, -255, -161, -111, -41, -17, 
##     41, 76, 133, 225, 290, 312, 432, 591, 645, 691, 741, 754, 
##     794, 770, 756, 748, 737, 736, 720, 703, 699, 701, 697, 695, 
##     702, 720, 724, 726, 755, 777, 801, 747, 726, 676, 659, 571, 
##     268, 164, -10, -89, -137, -160, -269, -318, -335, -535, -549, 
##     -598, -605, -678, -675, -681, -684, -677, -666, -655, -647, 
##     -633, -614, -581, -552, -534, -386, -342, -261, -234, -109, 
##     -77, -9, 83, 821, 819, 814, 807, 809, 469, 422, 394, 343, 
##     257, 211, 157, 65, 26, -2, -35, -91, -153, -168, -184, -189, 
##     -191, -189, -195, -184, -183, 745, 756, 780, 808, 815, 807, 
##     830, 833, 831, 837, 829, 825, 835, 826, 813, 806, 804, 793, 
##     798, 795, 781, 769, 768, 756, 758, 769, 765, 771, 770, 776, 
##     807, 811, 820, 811, 779, 775, 737, 692, 635, 534, 446, 407, 
##     386, 342, 223, 179, 125, 23, 5, -28, -48, -83, -80, -97, 
##     -100, -128, -114, -141, -158, -157, -168, -170, -166, -164, 
##     -165, -156, -158, -156, -141, -132, -116, -110, -97, -91, 
##     753, 726, 717, 674, 573, 494, 443, 373, 190, 103, 41, 10, 
##     -123, -156, -176, -220, -256, -359, -403, -440, -476, 714, 
##     713, 701, 681, 683, 674, 673, 682, 687, 694, 701, 708, 728, 
##     747, 755, 758, 775, 775, 779, 768, 767, 756, 740, 659, 593, 
##     675, 696, 703, 748, 750, 760, 781, 778, 741, 693, 636, 420, 
##     383, 330, 264, 169, 76, -1, -60, -238, -271, -360, -372, 
##     -438, -480, -490, -536, -620, -637, -672, -699, -717, -706, 
##     -705, -701, -698, -703, -702, -709, -691, -681, -588, 751, 
##     761, 753, 766, 741, 730, 726, 625, 545, 354, 316, 304, 279, 
##     239, 200, 62, 47, -1, -25, -75, 692, 694, 696, 693, 685, 
##     672, 681, 683, 675, 676, 682, 678, 678, 678, 672, 676, 678, 
##     672, 673, 679, 619, 654, 690, 740, 755, 795, 799, 788, 522, 
##     414, 354, 239, 108, 53, -55, -198, -398, -467, -517, -544, 
##     -575, -611, -628, -624, -555, -534, -483, -303, -210, 376, 
##     55, -110, -218, -307, -479, -505, -597, -609, -626, -622, 
##     -625, -575, -495, -465, -403, -297, -16, 106, 515, 656, 707, 
##     775, 796, 798, 777, 741, 711, 28, 84, 352, 458, 736, 756, 
##     777, 786, 783, 754, 730, 684, 670, 666, 673, 669, 705, 727, 
##     738, 766, 784, 794, 687, 679, 680, 678, 684, 679, 683, 679, 
##     679, 686, 679, 679, 678, 680, 673, 681, 679, 680, 678, 677, 
##     677, 673, 676, 675, 682, 680, 683, 685, 682, 686, 729, 857, 
##     939, 1050, 1140, 1220, 1210, 1180, 1180, 1180, 1180, 1190, 
##     1200, 1190, 1190, 1190, 1190, 1180, 1180, 1200, 1170, 988, 
##     696, 630, 487, 256, 1150, 1120, 919, 824, 768, 238, -356, 
##     -520, -683, -802, -830, -849, -859, -846, -793, -775, -740, 
##     -708, -651, -540, -450, -296, -231, -211, -215, -267, -300, 
##     -377, 1190, 1190, 1180, 1180, 1180, 1170, 1110, 995, 906, 
##     809, 650, 593, 86, 12, -233, -295, -392, -474, -565, -690, 
##     -702, -94, -102, -198, -361, -469, -543, -650, -690, -721, 
##     -757, -776, -784, -794, -755, -749, -622, -505, -340, -294, 
##     -200, -40, 66, 214, 311, 360, 481, 663, 1180, 1180, 1180, 
##     1170, 1170, 1180, 1170, 1170, 1180, 1180, 1170, 1170, 1170, 
##     1170, 1180, 1180, 1180, 1180, 1170, 1180, 1170, 1170, 1170, 
##     1170, 1170, 1160, 1170, 1160, 1160, 1160, 1160, 1160, 1180, 
##     1180, 1180, 1180, 1180, 1180, 1180, 1180, 1180, 359, 656, 
##     709, 748, 767, 789, 797, 812, 806, 819, 811, 807, 802, 790, 
##     783, 766, 762, 743, 734, 722, 732, 720, 722, 734, 738, 762, 
##     765, 790, 800, 784, 798, 800, 776, 774, 773, 763, 760, 764, 
##     775, 775, 782, 783, 788, 777, 724, 684, 668, 213, 246, 308, 
##     517, 623, 655, 690, 733, 749, 798, 794, 785, 784, 794, 781, 
##     776, 777, -622, -590, 27, -142, -351, -520, -549, -572, -616, 
##     -638, -668, -687, -685, -686, -689, -685, -682, -671, -667, 
##     -652, -605, -649, -663, -683, -698, -708, -718, -726, -730, 
##     -725, -702, -705, -700, -686, -675, -668, -646, -607, -486, 
##     -424, -223, -8, 305, 471, 518, -705, -688, -649, -639, -606, 
##     -580, -481, -396, -295, -218, -100, -19, 65, 379, 573, 589, 
##     628, 678, 707, 737, 758, 762, 42, 104, 179, 204, 321, 354, 
##     473, 515, 559, 667, 681, 695, 718, 729, 739, 742, 736, 739, 
##     720, 721, 720, 722, 725, -633, -678, -683, -692, -691, -684, 
##     -686, -691, -686, -665, -643, -594, -525, -359, -286, -208, 
##     -89, -50, 133, 274, 300, 358, 495, 558, -686, -695, -686, 
##     -677, -666, -659, -559, -515, -481, -416, -217, -99, 79, 
##     119, 293, 359, 443, 514, 560, 628, 675, 682, 738, 731, 715, 
##     724, 694, 687, 663, 596, 544, 337, 92, -52, -152, -190, -285, 
##     -393, -516, -598, -630, -641, -662, -663, -671, -663, -671, 
##     -670, -670, -672, 731, 721, 724, 699, 687, 654, 556, 255, 
##     47, -71, -158, -189, -271, -345, -384, -501, -578, -597, 
##     -623, -625, -631, -646, -641, -651, -656, -655, 710, 716, 
##     716, 718, 719, 710, 701, 695, 695, 694, 690, 690, 694, 695, 
##     703, 703, 702, 698, 702, 708, 705, 707, 707, 708, 705, 801, 
##     806, 804, 783, 768, 759, 751, 734, 725, 719, 721, 719, 726, 
##     719, 727, 733, 753, 759, 763, 781, 797, 794, 796, 781, 690, 
##     562, 266, 181, 33, -55, -104, -293, -426, -503, -648, -662, 
##     -703, -699, -679, -640, -536, -337, -163, 32, 141, 259, 311, 
##     672, 723, 746, 779, 798, 812, 811, 793, 768, 732, 717, 695, 
##     693, 711, 718, 746, 753, 764, 777, 780, 789, 787, 789, 770, 
##     735, 520, 311, 267, 129, 40, -56, -290, -411, -525, -583, 
##     -655, -690, -695, -677, -620, -571, -524, -497, -436, -396, 
##     -187, -96, 3, 137, 270, 343, 386, 460, 622, 671, 691, 734, 
##     789, 806, 792, 777, 760, 752, 731, 721, 710, 707, 700, 705, 
##     724, 738, 749, 770, 769, 788, 793, 792, 789, 780, 781, 777, 
##     761, 725, 697, 667, 651, 614, 484, 445, 437, 389, 337, 295, 
##     257, 218, 205, 207, 217, 216, 230, 256, 256, 269, 298, 306, 
##     339, 408, 558, 621, 650, 682, 766, 748, 736, 732, 704, 643, 
##     609, 480, 453, 289, 257, 227, 185, 193, 199, 222, 237, 238, 
##     273, 320, 358, 398, 529, 584, 604, 618, 681, 708, 711, 720, 
##     723, 752, 767, 771, 778, 781, 771, 769, 764, 759, 755, 752, 
##     754, 760, 743, 751, 753, 755, 758, 757, 759, 771, 769, 771, 
##     767, 772, 736, 712, 684, 610, 530, 473, 354, 245, 181, 172, 
##     164, 154, 152, 192, 209, 242, 251, 265, 333, 343, 372, 399, 
##     418, 475, 529, 576, 605, 664, 742, 773, 764, 783, 774, 769, 
##     779, 777, 782, 786, 783, 775, 758, 735, 720, 707, 627, 613, 
##     537, 479, 444, 359, 318, 298, 246, 205, 96, 89, 87, 111, 
##     126, 152, 196, 236, 292, 353, 427, 597, 616, 737, 746, 765, 
##     775, 787, 784, 790, 793, 785, 768, 767, 753, 770, 766, 777, 
##     774, 780, 780, 779, 782, 768, 729, 674, 642, 630, 549, 491, 
##     294, 124, 33, 17, 71, 78, 136, 257, 327, 356, 535, 557, 593, 
##     626, 710, 726, 725, 757, 766, 778, 778, 779, 763, 758, 756, 
##     759, 762, 765, 769, 778, 774, 773, 768, 741, 715, 644, 524, 
##     487, 419, 389, 356, 288, 199, 173, 163, 167, 179, 209, 236, 
##     252, 420, 438, 510, 554, 591, 622, 632, 699, 748, 780, 777, 
##     782, 783, 781, 784, 780, 781, 773, 759, 767, 759, 759, 761, 
##     753, -464, -765, -832, -829, -813, -777, -760, -621, -568, 
##     -261, -212, -307, -344, -629, -695, -788, -892, -890, -877, 
##     -859, -835, -800, -686, -601, -462, -346, -9, 162, 269, 374, 
##     425, 552, 652, 909, 978, 1040, 1150, 1180, 1200, 1190, 1180, 
##     1180, 1170, 1180, 1170, 1180, 1170, 1180, 1180, 1190, 1020, 
##     473, 69, -236, -419, -485, -577, -698, -749, -769, -794, 
##     -768, -749, -741, -688, -667, -623, -608, -562, -393, -258, 
##     -255, -292, -591, -674, -754, -771, -788, -796, -783, -768, 
##     -755, -649, -620, -539, -502, -417, -160, -107, 407, 636, 
##     734, 833, 973, 1160, 1220, 1240, 1240, 1220, 1210, 1200, 
##     1190, 1150, 1150, 1150, 1160, 1170, 1180, 1190, 1190, 1200, 
##     1190, 1180, 1170, 1170, 1160, 1150, 1100, 1080, 1060, 1040, 
##     679, 69, -166, -214, -288, -323, -421, -444, -463, -467, 
##     -470, -459, -381, -365, -323, -301, -186, -152, -87, -52, 
##     28, 65, 145, 238, 333, 559, 646, 779, 849, 878, 942, 992, 
##     1050, 1070, 1120, 1200, 1210, 1200, 1190, 1180, 1170, 1160, 
##     1160, 1160, 1160, 1160, 1160, 1150, 1150, 1140, 1120, 1090, 
##     796, 745, 511, 453, 278, 94, 1190, 1180, 1190, 1190, 1190, 
##     1180, 1170, 1170, 1150, 828, 729, 626, 173, 851, 930, 1010, 
##     1060, 1100, 1130, 1150, 1140, 1120, 1100, 1110, 1110, 1140, 
##     1140, 1140, 1150, 1160, 1170, 1170, 1030, 819, 771, 298, 
##     -139, -229, -275, -509, -571, -638, -637, -635, -614, -581, 
##     -537, -493, -23, 27, 286, 600, 758, 911, 940, 1010, 1170, 
##     1180, 1190, 1200, 1200, 1190, 1200, 1190, 1190, 1190, 1190, 
##     1180, 1190, 1160, 1130, 619, 371, 330, 233, 64, -65, -245, 
##     -449, -497, -509, -566, -566, -575, -549, -493, -447, -362, 
##     -121, -12, 93, 143, 259, 569, 682, 852, 932, 1050, 1200, 
##     1200, 1200, 1200, 1200, 1210, 1210, 1210, 1210, 1220, 1180, 
##     1090, 1050, 976, 760, 599, 490, 330, 204, -29, -243, -292, 
##     -374, -459, -511, -516, -511, -499, -492, -485, -430, -415, 
##     -377, -349, -288, -262, -208, -80, 18, 67, 162, 255, 296, 
##     483, 509, 615, 913, 1070, 1190, 1210, 1180, 1180, 1170, 1170, 
##     1180, 1180, 1150, 1060, 326, 155, -22, -225, -364, -403, 
##     -468, -575, -580, -607, -609, -625, -631, -627, -618, -604, 
##     -576, -566, -535, -513, -467, -397, -367, -298, -256, 1160, 
##     1160, 1160, 1170, 1130, 1100, 1000, 924, 596, 298, 33, -13, 
##     -88, -140, -228, -354, -586, -598, -611, -613, -589, -564, 
##     -542, -526, -460, -330, -290, -80, 204, 440, 535, 573, 889, 
##     999, 1080, 1130, 1200, 1200, 1170, 1170, 1150, 1160, 1160, 
##     1160, 1150, 1160, 1150, 1140, 1150, 1150, 1070, 838, 695, 
##     598, 407, 309, -563, -525, -476, -438, -380, -319, -206, 
##     -82, 8, 49, 123, 192, 229, 525, 591, 623, 641, 663, 668, 
##     676, 696, 704, 713, 706, 706, 708, 712, 715, 713, 713, 712, 
##     718, 724, 716, 715, 711, 719, 720, 710, 710, 709, 709, 706, 
##     707, 706, 705, 707, 703, 710, 705, 710, 715, 711, 711, 714, 
##     715, 715, 719, 704, 706, 700, 708, 706, 718, 712, 720, 724, 
##     716, 725, 722, 722, 720, 727, 719, 727, 726, 731, 736, 727, 
##     729, 729, 738, 732, 731, 723, 727, 719, 731, 722, 725, 725, 
##     731, 716, 722, 721, 725, 722, 721, 728, 727, 731, 723, 728, 
##     722, 723, 715, 713, 717, 718, 709, 708, 703, 708, 706, 703, 
##     715, 719, 712, 717, 707, 709, 720, 719, 711, 709, 707, 715, 
##     714, 719, 706, 666, 622, 607, 583, 540, 493, 428, 397, 379, 
##     336, 294, 273, 238, 176, 138, 97, 50, 25, 12, 15, 21, 58, 
##     86, 120, 123, 178, 217, 278, 350, 449, 470, 534, 575, 630, 
##     661, 693, 706, 709, 705, 717, 711, 712, 717, 712, 714, 714, 
##     705, 709, 711, 716, 706, 718, 711, 700, 680, 680, 639, 487, 
##     304, 257, 240, 202, 162, 32, 24, 37, 80, 104, 213, 262, 337, 
##     393, 460, 509, 580, 654, 727, 731, 727, 725, 725, 727, 740, 
##     734, 716, 701, 677, 658, 639, 522, 295, 275, 215, 59, 23, 
##     -15, -13, -7, 17, 64, 212, 279, 352, 415, 579, 611, 629, 
##     656, 700, 714, 717, 728, 743, 748, 731, 733, 725, 728, 733, 
##     729, 728, 733, 735, 744, 739, 726, 713, 703, 692, 667, 618, 
##     524, 497, 197, 47, 17, 12, 106, 158, 329, 378, 410, 572, 
##     592, 665, 670, 698, 715, 712, 716, 715, 711, 715, 716, 732, 
##     721, 697, 631, 617, 585, 505, 457, 397, 368, 180, 146, 53, 
##     -44, -79, -83, -93, -65, -56, -37, 3, 45, 104, 132, 252, 
##     468, 525, 582, 610, 615, 648, 670, 669, 688, 702, 700, 703, 
##     700, 685, 696, 694, 693, 680, 699, 691, 666, 638, 569, 704, 
##     693, 693, 693, 686, 692, 689, 691, 699, 700, 701, 697, 683, 
##     656, 613, 559, 358, 233, -33, -185, -198, -205, -202, -201, 
##     -168, -149, -113, -49, 50, 82, 124, 271, 290, 343, 430, 472, 
##     621, 654, 670, 706, 713, 712, 708, 707, 711, 711, 698, 694, 
##     695, 700, 694, 697, 669, 634, 565, 506, 452, 388, 306, 254, 
##     194, 165, 54, 31, -12, -69, -121, -169, -180, -191, -189, 
##     -171, -153, -98, -71, 17, 38, 152, 332, 391, 416, 516, 541, 
##     608, 621, 641, 668, 694, 714, 719, 724, 725, 728, 726, 721, 
##     712, 717, 721, 721, 720, 701, 695, 663, 647, 628, 214, 62, 
##     -87, -84, 679, 671, 677, 672, 677, 675, 677, 675, 687, 678, 
##     681, 687, 714, 726, 736, 767, 789, 793, 792, 767, 702, 689, 
##     658, 635, 595, 564, 543, 485, 434, 408, 373, 380, 384, 402, 
##     417, 429, 448, 468, 508, 542, 581, 645, 690, 730, 775, 798, 
##     791, 772, 752, 733, 714, 668, 671, 649, 642, 638, 630, 630, 
##     636, 653, 666, 672, 688, 699, 724, 722, 747, 756, 774, 796, 
##     787, 776, 769, 742, 655, 578, 517, 475, 432, 396, 389, 440, 
##     460, 474, 489, 516, 552, 707, 746, 771, 792, 716, 701, 685, 
##     662, 638, 618, 615, 620, 638, 636, 688, 701, 744, 794, 786, 
##     681, 661, 544, 518, 462, 446, 374, 359, 373, 376, 397, 401, 
##     409, 446, 503, 564, 587, 644, 711, 510, 442, 368, 373, 370, 
##     401, 414, 433, 468, 485, 520, 576, 655, 672, 703, 733, 775, 
##     795, 789, 793, 670, 648, 648, 646, 641, 640, 642, 661, 653, 
##     684, 705, 726, 740, 767, 800, 791, 795, 752, 611, 593, 382, 
##     349, 334, 309, 303, 307, 382, 415, 652, 754, 767, 778, 791, 
##     791, 792, 758, 725, 693, 673, 642, 640, 641, 649, 657, 675, 
##     677, 689, 703, 785, 773, 762, 735, 691, 665, 619, 525, 459, 
##     310, 294, 272, 257, 254, 266, 265, 311, 457, 484, 665, 703, 
##     718, 777, 805, 802, 802, 804, 745, 702, 685, 666, 649, 652, 
##     660, 671, 688, 714, 741, 793, 760, 602, 517, 467, 420, 400, 
##     378, 365, 358, 359, 356, 375, 388, 420, 455, 554, 590, 695, 
##     711, 748, 771, 794, 790, 774, 741, 673, 634, 646, 669, 676, 
##     692, 766, 783, 783, 687, 619, 519, 314, 267, 304, 359, 504, 
##     627, 640, 784, 794, 802, 804, 809, 694, 669, 650, 621, 615, 
##     624, 626, 643, 655, 735, 746, 779, 798, 749, 689, 468, 408, 
##     286, 295, 303, 322, 349, 407, 493, 519, 566, 634, 659, 694, 
##     755, 783, 778, 784, 783, 784, 775, 735, 707, 644, 625, 654, 
##     675, 693, 724, 754, 772, 786, 789, 793, 786, 731, 711, 564, 
##     483, 443, 363, 357, 366, 378, 394, 414, 473, 511, 576, 617, 
##     651, 736, 770, 796, 791, 781, 781, 784, 784, 752, 744, 615, 
##     615, 619, 635, 630, 646, 654, 663, 665, 667, 671, 683, 682, 
##     684, 682, 681, 680, 676, 679, 670, 666, 669, 664, 665, 668, 
##     668, 675, 673, 676, 672, 674, 672, 676, 675, 679, 674, 671, 
##     666, 675, 676, 671, 682, 676, 668, 679, 680, 685, 685, 680, 
##     682, 691, 689, 708, 736, 752, 771, 789, 795, 786, 786, 786, 
##     786, 789, 766, 766, 727, 696, 639, 456, 314, 168, 82, -8, 
##     -49, -230, -402, -390, -358, -324, -248, 113, 220, 458, 498, 
##     603, 775, 797, 802, 782, 745, 682, 668, 641, 622, 610, 627, 
##     668, 705, 732, 754, 764, 782, 748, 655, 589, 455, 288, 178, 
##     81, -59, -107, -201, -473, -474, -447, -300, -149, -29, 51, 
##     238, 775, 799, 772, 760, 740, 674, 669, 663, 701, 704, 734, 
##     734, 737, 743, 748, 743, 746, 742, 745, 737, 737, 737, 736, 
##     736, 733, 737, 735, 728, 735, 735, 731, 733, 729, 723, 726, 
##     725, 728, 728, 727, 727, 727, 727, 733, 724, 732, 720, 725, 
##     727, 722, 719, 724, 723, 727, 729, 732, 739, 737, 748, 756, 
##     764, 769, 769, 776, 777, 780, 779, 775, 781, 766, 753, 749, 
##     654, 614, 595, 577, 580, 590, 618, 613, 605, 591, 589, 589, 
##     647, 643, 640, 639, 640, 637, 621, 623, 615, 622, 623, 622, 
##     621, 614, 610, 618, 611, 611, 621, 621, 624, 621, 622, 622, 
##     626, 622, 620, 626, 623, 629, 621, 734, 732, 752, 802, 791, 
##     814, 824, 833, 833, 807, 774, 726, 677, 627, 578, 495, 456, 
##     369, 220, 128, 44, -59, -104, -193, -367, -411, -462, -519, 
##     -550, -564, -580, 772, 786, 785, 799, 817, 820, 830, 828, 
##     807, 779, 719, 534, 442, 411, 343, 158, 126, 63, -21, -94, 
##     -117, -185, -10, 83, 164, 271, 377, 445, 526, 547, 667, 702, 
##     737, 760, 765, 805, 828, 834, 836, 835, 831, 831, 831, 839, 
##     838, 834, 828, 829, 828, 816, 803, 800, 791, 788, 774, 775, 
##     772, 779, 790, 794, 797, 814, 822, 823, 825, 829, 822, 815, 
##     796, 790, 687, 593, 464, 384, 348, 180, -52, -105, -201, 
##     -275, -347, -446, -453, -521, -543, -577, -600, -602, -613, 
##     -618, -620, -622, -626, -596, -574, -398, -330, -300, -151, 
##     10, 138, 312, 467, 604, 702, 727, 770, 815, 827, 823, 794, 
##     764, 701, 680, 660, 500, 492, 486, 480, 455, 442, 443, 432, 
##     430, 433, 433, 457, 476, 515, 535, 562, 565, 549, 544, 541, 
##     550, 552, 556, 559, 558, 566, 581, 588, 587, 586, 600, 604, 
##     610, 608, 596, 618, 613, 621, 620, 624, 631, 624, 627, 617, 
##     615, 613, 618, 619, 618, 619, 621, 608, 611, 610, 597, 592, 
##     587, 588, 597, 594, 598, 602, 610, 622, 635, 674, 681, 683, 
##     696, 707, 716, 714, 716, 732, 732, 731, 743, 776, 780, 772, 
##     760, 756, 742, 726, 716, 649, 616, 587, 578, 562, 561, 513, 
##     512, 463, 455, 441, 434, 440, 431, 427, 423, 412, 423, 424, 
##     446, 471, 474, 525, 547, 571, 593, 629, 642, 661, 729, 736, 
##     743, 766, 770, 693, 702, 699, 713, 711, 724, 728, 744, 783, 
##     784, 800, 797, 798, 802, 797, 791, 788, 767, 753, 742, 727, 
##     721, 696, 686, 652, 633, 512, 507, 492, 457, 430, 409, 402, 
##     396, 379, 373, 380, 364, 356, 374, 371, 372, 388, 399, 420, 
##     438, 472, 517, 532, 552, 591, 633, 713, 752, 777, 789, 793, 
##     801, 818, 820, 817, 820, 829, 826, 826, 829, 820, 821, 816, 
##     812, 800, 807, 779, 780, 779, 777, 759, 749, 751, 744, 747, 
##     747, 750, 759, 772, 778, 780, 790, 805, 820, 819, 824, 832, 
##     830, 827, 779, 719, 685, 673, 608, 577, 569, 527, 516, 517, 
##     507, 495, 480, 478, 458, 459, 455, 462, 466, 473, 488, 493, 
##     515, 525, 596, 635, 660, 678, 726, 756, 775, 782, 800, 807, 
##     814, 822, 813, 813, 808, 800, 789, 782, 758, 752, 732, 735, 
##     724, 711, 704, 708, 711, 695, 688, 688, 695, 699, 717, 717, 
##     728, 743, 746, 758, 793, 802, 796, 795, 793, 790, 783, 748, 
##     730, 749, 771, 799, 802, 815, 814, 819, 805, 804, 796, 791, 
##     791, 790, 788, 775, 754, 759, 756, 747, 746, 738, 727, 727, 
##     719, 718, 720, 724, 715, 730, 726, 736, 730, 739, 737, 747, 
##     765, 769, 788, 804, 807, 809, 799, 801, 777, 769, 728, 705, 
##     671, 649, 615, 604, 592, 554, 516, 514, 511, 498, 508, 509, 
##     526, 559, 575, 637, 656, 673, 714, 739, 749, 767, 789, 809, 
##     813, 811, 802, 799, 797, 793, 770, 775, 763, 763, 734, 709, 
##     691, 692, 685, 675, 669, 668, 660, 658, 668, 663, 678, 685, 
##     701, 719, 738, 759, 776, 784, 790, 797, 796, 780, 737, 674, 
##     639, 575, 516, 493, 473, 481, 471, 469, 468, 466, 467, 471, 
##     466, 469, 472, 483, 485, 490, 513, 522, 530, 569, 597, 673, 
##     693, 709, 756, 773, 812, 822, 827, 821, 810, 784, 772, 756, 
##     734, 705, 692, 685, 673, 667, 650, 663, 667, 675, 699, 706, 
##     733, 741, 787, 789, 812, 813, 812, 808, 776, 771, 756, 724, 
##     693, 677, 643, 617, 560, 555, 529, 519, 513, 509, 506, 512, 
##     503, 505, 511, 510, 505, 530, 535, 548, 552, 571, 655, 651, 
##     600, 567, 534, 518, 499, 492, 487, 479, 462, 490, 492, 550, 
##     566, 648, 664, 688, 700, 713, 775, 796, 806, 805, 800, 800, 
##     807, 806, 796, 787, 767, 757, 729, 709, 703, 698, 693, 632, 
##     610, 611, 603, 604, 602, 608, 603, 604, 586, 583, 579, 571, 
##     575, 571, 559, 562, 555, 543, 543, 529, 527, 519, 521, 508, 
##     517, 510, 514, 503, -275, -299, -353, -376, -460, -468, -490, 
##     -494, -534, -558, -568, -565, -577, -566, -567, -553, -557, 
##     -554, -548, -524, -434, -269, -165, 637, 695, 704, 739, 748, 
##     787, 801, 819, 832, 845, 835, 835, 829, 810, 794, 781, 775, 
##     770, 768, 761, 761, 767, -587, -585, -584, -582, -574, -571, 
##     -552, -539, -526, -484, -264, -230, -158, -115, 103, 258, 
##     324, 420, 605, 290, 416, 515, 599, 654, 693, 744, 759, 772, 
##     774, 785, 785, 775, 767, 761, 750, 738, 725, 57, -5, -29, 
##     -84, -271, -397, -413, -455, -476, -494, -517, -545, -574, 
##     -614, -607, -609, -609, -610, -612, -600, -596, -584, -550, 
##     -528, -452, -414, -213, -123, -20, 394, 407, 450, 526, 596, 
##     612, 658, 723, 742, 760, 754, 749, 753, 752, 752, 750, 736, 
##     716, 676, 673, 661, 652, 639, 647, 643, 638, 639, 641, 641, 
##     644, 651, 660, 669, 695, 721, 734, 765, 770, 768, 786, 784, 
##     744, 711, 639, 587, 230, 195, -36, -102, -171, -254, -276, 
##     -314, -378, -424, -488, -511, -558, -600, -620, -648, -657, 
##     -646, -648, -655, -647, -643, -628, -627, -611, -604, -604, 
##     -591, -577, -557, -560, -518, -495, -429, -409, -374, -343, 
##     -309, 33, 81, 136, 209, 246, 447, 512, 533, 602, 637, 671, 
##     689, 722, 737, 775, 780, 784, 770, 757, 755, 744, 733, 694, 
##     684, 677, 681, 695, 702, 708, 723, 738, 739, 741, 749, 752, 
##     766, 767, 766, 769, 767, 764, 732, 721, 703, 680, 668, 620, 
##     487, 466, 395, 382, 331, 307, 238, 225, 185, 176, 175, 190, 
##     746, 734, 729, 723, 723, 730, 727, 725, 734, 742, 746, 751, 
##     755, 764, 777, 773, 767, 755, 713, 695, 662, 537, 514, 459, 
##     506, 615, 630, 650, 661, 676, 711, 720, 729, 731, 755, 766, 
##     765, 761, 767, 766, 754, 751, 750, 749, 730, 725, 714, 716, 
##     711, 702, 700, 714, 717, 728, 751, 763, 775, 771, 716, 700, 
##     680, 668, 653, 621, 603, 528, 487, 462, 390, 379, 323, 308, 
##     281, 239, 237, 243, 291, 287, 301, 318, 350, 367, 456, 467, 
##     595, 604, 637, 646, 683, 714, 728, 730, 746, 750, 742, 735, 
##     734, 730, 721, 714, 712, 703, 695, 690, 670, 665, 659, 653, 
##     649, 674, 681, 692, 704, 727, 764, 778, 782, 779, 771, 766, 
##     759, 738, 703, 685, 611, 586, 533, 378, 365, 336, 255, 258, 
##     226, 201, 183, 148, 154, 156, 166, 181, 214, 214, 247, 308, 
##     352, 523, 555, 595, 677, 704, 723, 771, 770, 768, 756, 751, 
##     752, 703, 695, 686, 683, 337, 319, 298, 280, 254, 215, 194, 
##     148, 108, 85, 79, 69, 80, 88, 151, 195, 227, 270, 525, 620, 
##     671, 718, 730, 703, 677, 644, 603, 458, 440, 407, 366, 330, 
##     304, 282, 219, 206, 200, 189, 174, 172, 164, 170, 171, 193, 
##     203, 229, 243, 249, 271, 342, 543, 554, 589, 601, 611, 630, 
##     642, 693, 733, 742, 751, 767, 767, 748, 746, 746, 747, 743, 
##     731, 717, 703, 708, 706, 703, 703, 704, 711, 713, 726, 740, 
##     749, 760, 765, 753, 747, 752, 753, 756, 752, 733, 720, 721, 
##     730, 736, 738, 742, 761, 736, 680, 669, 682, 697, 738, 756, 
##     767, 769, 750, 744, 737, 732, 718, 701, 671, 628, 571, 537, 
##     523, 491, 484, 449, 425, 348, 387, 284, 258, 247, 216, 203, 
##     187, 184, 186, 195, 222, 265, 325, 351, 391, 421, 437, 493, 
##     263, 271, 293, 313, 320, 354, 407, 500, 508, 544, 600, 611, 
##     628, 651, 676, 686, 731, 749, 753, 755, 757, 757, 759, 705, 
##     718, 708, 712, 714, 711, 719, 724, 727, 769, 777, 788, 790, 
##     800, 807, 802, 777, 767, 710, 667, 510, 479, 376, 311, 146, 
##     113, 608, 608, 605, 597, 596, 594, 591, 597, 593, 593, 589, 
##     607, 604, 606, 602, 605, 609, 609, 613, 627, 633, 725, 725, 
##     726, 731, 720, 724, 725, 724, 721, 724, 721, 720, 724, 713, 
##     718, 721, 715, 721, 718, 716, 786, 776, 759, 760, 738, 676, 
##     637, 618, 606, 603, 595, 637, 751, 788, 803, 785, 768, 640, 
##     592, 541, 80, 204, 356, 582, 642, 797, 833, 899, 931, 1010, 
##     1060, 1140, 1140, 1140, 1150, 1150, 1160, 1160, -244, -370, 
##     -464, -497, -546, -632, -641, -643, -639, -616, -612, -572, 
##     -443, -385, -282, -194, -165, -80, -47, 132, 234, 278, 478, 
##     561, 682, 761, -24, -138, -307, -342, -494, -535, -582, -614, 
##     -604, -610, -595, -587, -570, -547, -524, -471, -407, -95, 
##     -49, 97, 192, 270, 441, 509, 581, 627, 955, 1050, 1140, 41, 
##     71, 139, 158, 223, 327, 510, 587, 657, 730, 754, 760, 776, 
##     779, 772, 772, 779, 774, 770, 776, 771, 792, 794, 787, 774, 
##     767, 767, 752, 756, 755, 760, 755, 770, 782, 772, 779, 774, 
##     760, 743, 742, 714, 703, 640, 516, 475, 451, 330, 191, 151, 
##     60, 37, 32, 700, 739, 759, 762, 765, 774, 777, 781, 778, 
##     764, 763, 757, 757, 747, 743, 739, 742, 737, 746, 751, 747, 
##     743, 767, 704, 724, 746, 756, 761, 779, 781, 780, 783, 777, 
##     773, 771, 774, 773, 774, 768, 769, 766, 771, 760, 717, 660, 
##     540, 509, 410, 352, 321, 254, 233, 228, 206, 213, 230, 251, 
##     270, 281, 365, 414, 528, 557, 591, 658, 547, 446, -135, -175, 
##     -175, -171, -139, -78, -59, -2, 22, 90, 200, 273, 343, 370, 
##     444, 513, 606, 651, 665, 672, 689, 698, 700, 715, 703, 709, 
##     705, 711, 704, 709, 715, 718, 716, 711, 718, 714, 714, 718, 
##     715, 719, 724, 720, 721, 716, 728, 713, 717, 719, 712, 713, 
##     -461, -445, -415, -228, -205, -116, -91, 9, 42, 98, 283, 
##     374, 453, 475, 503, 520, 530, 544, 562, 563, 555, 518, 492, 
##     371, 307, 233, 72, 40, -57, -84, -132, -229, -376, -441, 
##     -463, -524, -523, -510, -494, -489, -421, -392, -368, -336, 
##     -252, -228, -112, 82, 167, 392, 488, 499, 600, 603, 624, 
##     622, 624, 623, 605, 595, 585, 561, 541, 504, 298, 242, 75, 
##     17, -23, -76, -135, -161, 576, 565, 549, 480, 443, 398, 383, 
##     200, 59, -28, -192, -215, -251, -451, -503, -502, -492, -465, 
##     -450, -388, -294, -273, -102, -50, 81, 109, 160, 241, 292, 
##     351, 382, 452, 548, 579, 622, 643, 658, 666, 668, 667, 670, 
##     653, 647, 622, 601, 590, 566, 515, 424, 300, 75, -43, -197, 
##     -240, -286, -304, -363, -428, -438, -497, -535, -534, -531, 
##     -516, -491, -471, -471, -419, -403, -333, -266, -226, -160, 
##     -97, 769, 784, 784, 783, 784, 778, 762, 707, 681, 659, 622, 
##     602, 566, 514, 451, 258, 82, 58, 31, 25, 93, 389, 485, 547, 
##     619, 675, 716, 726, 778, 787, 792, 791, 786, 786, 779, 786, 
##     778, 774, 768, 768, 761, 763, 756, 761, 765, 762, 775, 785, 
##     783, 793, 782, 773, 763, 736, 662, 608, 537, 471, 748, 779, 
##     775, 783, 785, 789, 785, 780, 771, 768, 758, 755, 755, 763, 
##     761, 758, 755, 759, 767, 775, 770, 773, 781, 781, 783, 756, 
##     687, 533, 382, 331, 298, 260, 266, 264, 273, 287, 290, 289, 
##     292, 271, 267, 259, 234, 178, 64, -50, -181, -319, -366, 
##     -394, -448, -452, -461, -454, -345, -277, -145, -25, 2, 112, 
##     172, 224, 250, 422, 437, 435, 437, 437, 436, 435, 427, 417, 
##     424, 405, 398, -342, -19, 67, 241, 284, 305, 338, 383, 492, 
##     526, 540, 546, 550, 554, 557, 560, 573, 563, 547, 542, 511, 
##     500, 485, 433, 402, 369, 288, 211, 134, 29, -75, -143, -212, 
##     -352, -375, -456, -477, -511, -424, -382, -269, -112, -47, 
##     35, 88, 226, 343, 362, 424, 478, 491, 490, 488, 488, 488, 
##     469, 465, 458, 444, 417, 381, 352, 343, 300, 259, 243, 194, 
##     110, 43, -223, -287, -436, -452, 489, 478, 418, 396, 325, 
##     303, 262, 182, 136, 105, 59, -6, -85, -150, -222, -305, -351, 
##     -399, -416, -446, -467, -487, -475, -472, -379, -293, -269, 
##     -215, -152, 32, 100, 145, 222, 284, 318, 372, 384, 471, 500, 
##     525, 529, 528, 534, 529, 515, 519, 515, 500, 497, 490, 454, 
##     409, 341, 284, 248, 225, 120, 10, -52, -108, 497, 507, 516, 
##     512, 517, 516, 516, 502, 498, 493, 488, 446, 420, 409, 339, 
##     276, 164, -23, -47, -145, -173, -264, -290, -328, -391, -556, 
##     -559, -540, -534, -472, -413, -351, -311, -225, -151, -93, 
##     -25, -2, 52, 177, 202, 302, 310, 336, 364, 382, 414, 414, 
##     416, 432, 436, 439, 434, 431, 432, 406, 377, 344, 310, 273, 
##     237, 215, 174, 124, 43, -44, -111, -367, -474, -501, -521, 
##     -548, -543, -531, -516, -487, -480, -443, -411, -357, -304, 
##     -79, 190, 362, 510, 514, 524, 514, 503, 499, 474, 466, 454, 
##     335, 279, 168, 92, 32, -21, -47, -111, -172, -254, -308, 
##     -342, -388, -431, -491, -508, -522, -519, -373, -349, -241, 
##     -213, 77, 422, 389, 362, 300, 269, 98, 78, -2, -43, -83, 
##     -140, -207, -262, -302, -300, -267, 528, 439, 397, 237, 150, 
##     55, -7, -75, -118, -252, -281, -287, -315, -321, -314, -305, 
##     -185, -161, -128, -107, -78, -31, 11, 18, 159, 248, 410, 
##     430, 471, 502, 514, 526, 564, 614, 611, 631, 652, 676, 688, 
##     704, 693, 673, 638, 603, 585, 567, 547, 430, 406, 368, 343, 
##     306, 260, 194, 176, 132, 88, 31, -28, -90, -100, -162, -193, 
##     -223, -282, -294, -317, -349, -360, -354, -326, -303, -291, 
##     -252, -236, -200, -146, -109, -57, 49, 110, 143, 182, 210, 
##     390, 430, 515, 543, 563, 586, 601, 237, 356, 403, 425, 455, 
##     502, 567, 575, 618, 616, 627, 640, 655, 685, 687, 690, 665, 
##     664, 645, 641, 627, 602, 590, 572, 536, 503, 414, 296, 234, 
##     193, 181, 149, 96, 70, 54, 27, -80, -92, -224, -263, -309, 
##     -385, -391, -383, -339, -327, -278, -264, -229, -153, -107, 
##     50, 92, 256, 267, 298, 360, 385, 468, 540, 557, 569, 586, 
##     602, 609, 630, 637, 644, 646, 655, 663, 657, 645, 625, 622, 
##     601, 572, 543, 460, 400, 206, 187, 147, 131, 98, 83, 38, 
##     14, 9, -84, -111, -129, -158, -174, -277, -321, -346, -374, 
##     -391, -381, -371, -356, -342, -332, -319, -290, -230, 29, 
##     79, 214, 310, 327, 378, 438, 446, 550, 589, 603, 637, 645, 
##     667, 675, 675, 676, 668, 661, 650, 615, 570, 546, 503, 419, 
##     392, 342, -292, -258, -124, -102, 102, 159, 393, 425, 460, 
##     488, 602, 627, 641, 654, 655, 655, 642, 650, 646, 634, 631, 
##     615, 596, 591, 544, 390, 370, -24, -41, -72, -124, -148, 
##     -162, -204, -228, -229, -270, -313, -323, -340, -340, -387, 
##     -417, -434, -446, -448, -407, -282, -240, -205, -151, -112, 
##     103, 114, 176, 223, 264, 279, 399, 404, 442, 18, -120, -203, 
##     -267, -302, -499, -534, -554, -566, -570, -572, -545, -517, 
##     -492, -437, -377, -229, -128, 107, 305, 523, 613, 654, 817, 
##     920, 992, 1040, 1070, 1120, 1150, 1180, 1190, 1190, 1180, 
##     1170, 1160, 1160, 1160, 1150, 1150, 1150, 1150, 1150, 1090, 
##     1070, 963, 883, 795, 608, 512, 134, 83, -158, -318, -389, 
##     -472, -505, -542, -586, -585, -583, -587, -577, -559, -560, 
##     -514, -451, -183, 25, 67, 181, 502, 626, 715, 750, 851, 888, 
##     1010, 1030, 1070, 1080, 1100, 1120, 1130, 1160, 1180, 1190, 
##     1170, 1180, 1170, 1170, 1170, 1180, 1170, 1180, 1170, 1180, 
##     1180, 1170, 1190, 1190, 1190, 1180, 1140, 1100, -464, -372, 
##     -204, -14, 223, 753, 814, 1100, 1230, 1210, 1200, 1190, 1210, 
##     1210, 1210, 1210, 1230, 1240, 1260, 1280, 1240, 1030, 853, 
##     450, 300, 241, -99, -228, -356, -504, -550, -608, -659, -712, 
##     -713, -610, -595, -584, -585, -588, -590, -620, -659, -671, 
##     -707, -714, -671, -452, -359, -267, -206, -66, 49, 217, 275, 
##     391, 481, 541, 771, 839, 967, 1110, 1340, 1370, 1220, 1220, 
##     1210, 1210, 1220, 1220, 1230, 1270, 1290, 1280, 1220, 1130, 
##     1080, 980, 811, 662, 222, -172, -318, -384, -538, -639, -709, 
##     -741, -731, -705, -627, -619, -623, -641, -672, -686, -721, 
##     -737, -754, -782, -627, -594, -488, -446, -52, 9, 244, 307, 
##     810, 917, 1360, 1420, 1410, 1220, 1220, 1210, 1220, 1220, 
##     1250, 1290, 1360, 1340, 1270, 1220, 1110, 1000, 590, 178, 
##     95, -132, -341, -454, -509, -704, -749, -758, -778, -729, 
##     -675, -666, -617, -606, -635, -645, -744, -783, -707, -670, 
##     -551, -410, -273, -167, -98, 204, 310, 365, 485, 610, 666, 
##     910, 998, 1030, 1090, 1190, 1250, 1330, 1360, 1350, 1320, 
##     1300, 1290, 1280, 1290, 1280, 1290, 1380, 1100, 1010, 720, 
##     586, 442, 366, -47, -280, -479, -719, -793, -785, -768, -752, 
##     -712, -686, -697, -720, -751, -805, -811, -778, -623, -491, 
##     -386, -212, -147, 105, 769, 852, 1070, 1150, 1290, 1340, 
##     1370, 1310, 1270, 1250, 1250, 1240, 1240, 1240, 1240, 1250, 
##     1260, 1350, 1340, 1210, 811, 683, 455, 364, 209, 48, -253, 
##     -371, -426, -639, -747, -765, -756, -728, -704, -685, -669, 
##     -628, -629, -658, -675, -686, -705, -725, -670, -650, -544, 
##     -457, -196, -120, 13, 143, 210, 347, 642, 847, 954, 1100, 
##     1430, 1480, 1320, 1290, 1260, 1240, 1230, 1240, 1300, 1360, 
##     1380, 1330, 1190, 1100, 1040, 938, 753, 384, 244, 186, 36, 
##     -325, -427, -483, -691, -740, -783, -786, -788, -770, -718, 
##     -694, -667, -649, -747, -767, -781, -791, -796, -797, -784, 
##     -765, -660, -590, -487, -328, -221, 115, 235, 409, 459, 573, 
##     728, 824, 1140, 1260, 1380, 1350, 1330, 1250, 1240, 1230, 
##     1250, 1280, 1330, 1340, 1120, -716, -789, -814, -820, -810, 
##     -712, -541, -454, -401, 36, 156, 269, 350, 394, 565, 836, 
##     909, 946, 1020, 1060, -94, -84, -21, 18, 94, 141, 456, 513, 
##     696, 704, 737, 719, 709, 698, 691, 698, 700, 699, 706, 710, 
##     686, 619, 577, 425, 367, 295, 264, 102, -21, -64, -86, -119, 
##     -147, -194, -207, -204, -194, -187, 36, 133, 198, 364, 389, 
##     499, 518, 550, 576, 651, 664, 675, 685, 685, 690, 692, 700, 
##     701, 700, 692, 691, 698, 702, 702, 702, 704, 702, 703, 709, 
##     710, 703, 707, 705, 698, 700, 704, 704, 706, 703, 709, 707, 
##     702, 706, 707, 711, 711, 703, 706, 706, 716, 710, 711, 712, 
##     714, 714, 705, 695, 644, 634, 585, 554, 453, 430, 378, 330, 
##     307, 196, 177, -5, -56, -294, -344, -381, -442, -462, -480, 
##     -499, -512, -507, -506, -430, -329, -285, -266, -110, 16, 
##     111, 173, 211, 293, 355, 407, 424, 450, 448, 439, 415, 380, 
##     348, 285, 230, 61, -18, -206, -283, -325, -339, -408, -427, 
##     -478, -480, -473, -391, -345, -296, -144, -72, 145, 291, 
##     344, 367, 413, 450, 496, 554, 569, 576, 614, 615, 620, 623, 
##     607, 579, 554, 533, 471, 456, 399, 359, 190, 24, -18, -111, 
##     -191, -302, -382, -411, -437, -460, -434, -378, -152, -19, 
##     21, 51, 125, 175, 229, 352, 560, 578, 601, 614, 639, 643, 
##     655, 648, 650, 657, 641, 638, 629, 618, 602, 572, 534, 443, 
##     233, 214, 158, 69, -23, -95, -145, -255, -356, -448, -483, 
##     -475, -459, -425, -310, -267, 91, 55, 7, -54, -82, -130, 
##     -183, -255, -305, -317, -363, -397, -408, -449, -523, -515, 
##     -508, -450, -422, -361, -309, -249, -140, -94, 22, 90, 177, 
##     272, 395, 430, 444, 480, 497, 502, 500, 494, 474, 444, 429, 
##     257, 235, 189, -16, -154, -228, -410, -415, -470, -482, -491, 
##     -506, -510, -503, -491, -479, 621, 629, 627, 587, 551, 512, 
##     295, 191, 42, -192, -292, -300, -302, -287, -266, -234, -194, 
##     -128, -45, 103, 432, 458, 497, 583, 587, 626, 636, 632, 628, 
##     611, 552, 476, 476, 450, 349, 192, 98, -44, -113, -147, -196, 
##     -294, -267, -188, -143, -115, 1, 131, 241, 320, 381, 451, 
##     549, 565, 612, 631, 625, 640, 645, 649, 645, 646, 629, 620, 
##     551, 466, 217, 148, 148, 83, 83, 2, 2, -59, -87, -265, -289, 
##     -313, -315, -209, 121, 180, 270, 330, 367, 417, 529, 623, 
##     689, 697, 697, 704, 673, 661, 651, 611, 495, 408, 656, 650, 
##     656, 653, 652, 656, 654, 613, 546, 532, 439, 356, 271, 162, 
##     93, -11, -11, -11, -11, -136, -146, -216, -269, -292, -320, 
##     -328, -309, 367, 302, 302, 302, 203, 136, 32, -55, -231, 
##     -297, -364, -375, -321, -301, -259, -190, -99, 2, 79, 152, 
##     219, 246, 317, 380, 418, 481, 594, 605, 607, 646, 623, 622, 
##     596, 580, 517, 468, 394, 264, 229, 169, -25, -248, -327, 
##     -388, -414, -449, -442, -442, -416, -363, -332, -202, 0, 
##     249, 458, 499, 549, 571, 605, 615, 651, 670, 686, 694, 714, 
##     701, 691, 684, 661, 583, 456, 75, 19, -7, -109, -199, -255, 
##     -299, -308, -308, -308, -308, -308, -318, -315, -315, -284, 
##     -268, -175, -153, -82, 43, 61, 249, 311, 488, 499, 571, 602, 
##     610, 616, 614, 604, 582, 480, 434, 302, 279, 222, -24, -73, 
##     -136, -329, -310, -298, -286, -263, -217, -198, -161, -111, 
##     -86, -4, 62, 123, 123, 211, 255, 367, 472, 523, 648, 676, 
##     685, 686, 688, 676, 667, 660, 636, 596, 559, 522, 432, 136, 
##     19, -53, -119, -210, -284, -355, 556, 552, 554, 560, 558, 
##     564, 566, 565, 568, 565, 563, 560, 564, 563, 559, 558, 557, 
##     561, 553, 560, 544, 552, 551, 547, 554, 557, 566, 576, 574, 
##     574, 572, 570, 570, 576, 576, 567, 572, 568, 572, 560, 560, 
##     574, 568, 566, 566, 560, 563, 565, 567, 565, 564, 553, 553, 
##     554, 560, 562, 561, 572, 572, 572, 564, 567, 571, 571, 573, 
##     581, 573, 579, 584, 579, 575, 579, 576, 572, 575, 574, 582, 
##     579, 574, 572, 575, 570, 574, 565, 565, 573, 572, 572, 569, 
##     570, 577, 576, 583, 586, 597, 596, 594, 614, 617, 619, 625, 
##     633, 626, 630, 629, 642, 634, 630, 636, 636, 624, 631, 619, 
##     617, 619, 602, 580, 568, 541, 540, 512, 505, 509, 519, 519, 
##     519, 523, 536, 541, 541, 595, 599, 605, 609, 610, 603, 606, 
##     620, 610, 618, 618, 616, 624, 624, 621, 620, 625, 620, 611, 
##     616, 618, 615, 613, 586, 616, 682, 695, 725, 729, 758, 786, 
##     796, 807, 809, 813, 821, 822, 830, 824, 807, 801, 792, 745, 
##     542, 548, 559, 612, 627, 643, 744, 782, 800, 803, 817, 821, 
##     824, 812, 799, 798, 787, 782, 768, 772, 751, 793, 780, 750, 
##     728, 708, 708, 663, 639, 628, 619, 598, 562, 538, 518, 514, 
##     510, 495, 489, 491, 493, 492, 493, 506, 512, 537, 563, 614, 
##     672, 682, 739, 748, 781, 798, 803, 810, 820, 821, 817, 812, 
##     799, 788, 778, 751, 747, 826, 815, 802, 795, 782, 768, 755, 
##     735, 673, 597, 588, 553, 547, 538, 516, 518, 510, 503, 492, 
##     493, 781, 799, 817, 819, 826, 828, 826, 817, 816, 811, 808, 
##     805, 774, 768, 757, 713, 702, 657, 647, 648, 604, 608, 599, 
##     649, 674, 730, 748, 754, 765, 767, 775, 780, 788, 792, 795, 
##     790, 784, 768, 758, 744, 744, 739, 731, 722, 719, 717, 723, 
##     717, 711, 716, 719, 717, 714, 708, 730, 718, 723, 715, 718, 
##     719, 709, 719, 721, 713, 718, 720, 726, 730, 743, 745, 746, 
##     -105, -121, -129, -121, -70, -44, -7, 51, 77, 136, 190, 263, 
##     297, 431, 551, 626, 633, 653, 669, 682, 686, 695, 703, 712, 
##     716, 721, 723, 718, 717, 713, 712, 707, 702, 690, 637, 623, 
##     584, 510, 472, 453, 399, 258, 49, -5, -16, -47, -52, -73, 
##     -88, -94, -99, -89, -59, -38, -26, -3, 15, 33, 118, 194, 
##     304, 360, 429, 480, 503, 539, 583, 593, 645, 649, 660, 681, 
##     683, 702, 736, 743, 757, 760, 757, 757, 756, 753, 726, 719, 
##     708, 647, 613, 571, 549, 496, 466, 413, 359, 297, 282, 235, 
##     189, 120, 110, 79, 49, 48, 73, 77, 92, 95, 105, 139, 149, 
##     248, 302, 429, 455, 493, 567, 632, 661, 687, 717, 715, 721, 
##     717, 748, 768, 768, 760, 760, 767, 762, 758, 752, 743, 736, 
##     720, 707, 707, 674, 649, 607, 513, 490, 453, 428, 371, 331, 
##     312, 271, 255, 206, 616, 640, 709, 716, 731, 747, 751, 739, 
##     740, 745, 750, 756, 760, 757, 758, 764, 160, 110, 89, 38, 
##     30, 3, 3, 6, 15, 17, 25, 60, 72, 82, 91, 132, 180, 205, 283, 
##     335, 372, 393, 432, 453, 491, 542, 766, 766, 783, 774, 780, 
##     771, 761, 771, 721, 712, 675, 644, 555, 523, 441, 333, 200, 
##     82, 41, -28, 598, 605, 586, 585, 574, 575, 561, 566, 577, 
##     586, 603, 603, 602, 600, 613, 605, 599, 589, 574, 565, 559, 
##     555, 573, 473, 469, 468, 465, 452, 458, 454, 454, 445, 442, 
##     445, 442, 449, 450, 459, 455, 479, 480, 507, 531, 556, 566, 
##     599, 619, 640, 690, 715, 722, 691, 669, 655, 653, 646, 642, 
##     632, 635, 654, 673, 686, 704, 719, 740, 768, 810, 808, 809, 
##     726, 707, 702, 704, 698, 714, 714, 715, 727, 730, 736, 736, 
##     768, 790, 799, 799, 797, 820, 811, 806, 806, 801, 775, 760, 
##     743, 736, 712, 650, 638, 600, 574, 552, 502, 499, 500, 499, 
##     502, 507, 517, 523, 534, 726, 694, 680, 673, 657, 654, 653, 
##     657, 658, 664, 672, 688, 722, 771, 779, 798, 802, 814, 770, 
##     770, 763, 743, 686, 668, 625, 472, 426, 417, 360, 225, 196, 
##     166, 128, 143, 146, 167, 202, 209, 226, 239, 282, 332, 361, 
##     428, 447, 744, 743, 750, 752, 754, 750, 760, 786, 786, 782, 
##     788, 785, 777, 784, 774, 763, 744, 731, 707, 701, 628, 602, 
##     542, 505, 449, 323, 317, 277, 279, 288, 316, 359, 434, 506, 
##     529, 536, 559, 703, 722, 735, 741, 742, 752, 768, 764, 768, 
##     767, 775, 760, 725, 721, 718, 711, 702, 702, 696, 704, 698, 
##     704, 722, 733, 735, 764, 781, 743, 731, 709, 706, 688, 635, 
##     579, 549, 537, 492, 451, 356, 334, 312, 304, 294, 278, 273, 
##     276, 278, 284, 284, 302, 332, 337, 404, 444, 462, 481, 498, 
##     684, 682, 686, 687, 698, 700, 742, 745, 750, 744, 736, 735, 
##     725, 714, 709, 695, 660, 653, 633, 605, 592, 514, 459, 447, 
##     429, 396, 381, 349, 324, 291, 280, 275, 270, 770, 779, 764, 
##     757, 755, 747, 753, 754, 761, 759, 757, 761, 762, 755, 736, 
##     738, 695, 636, 548, 533, 502, 488, 476, 449, 456, 453, 463, 
##     462, 461, 453, 291, 192, 121, 71, 2, -90, -155, -224, -237, 
##     -262, -410, -422, -450, -459, -405, -382, -368, -324, -18, 
##     -51, -112, -122, -151, -187, -194, -228, -231, -267, -306, 
##     -359, -363, -379, -407, -403, -387, -383, -369, -338, -312, 
##     -300, -255, -216, -186, -131, -101, -85, -44, -2, 158, 182, 
##     614, 615, 615, 620, 622, 613, 601, 594, 579, 557, 514, 324, 
##     271, 216, 1, -268, -213, -205, -168, -85, -3, 154, 180, 298, 
##     403, 426, 504, 504, 537, 597, 596, 622, 633, 641, 659, 672, 
##     670, 672, 660, 635, 624, 579, 564, 276, 268, 259, 254, 238, 
##     230, 225, 223, 261, 269, 280, 368, 452, 619, 688, 701, 751, 
##     757, 764, 510, 622, 628, 679, 706, 756, 768, 773, 768, 752, 
##     748, 743, 747, 744, 743, 737, 720, 704, 687, 678, 683, 677, 
##     478, 488, 530, 562, 600, 673, 688, 725, 746, 755, 772, 777, 
##     783, 776, 782, 780, 780, 781, 766, 769, 767, 760, 597, 616, 
##     614, 621, 613, 622, 616, 611, 607, 606, 602, 606, 596, 604, 
##     600, 600, 603, 600, 607, 604, 606, 604, 613, 613, 613, -340, 
##     -255, -64, 2, 122, 227, 268, 375, 420, 475, 504, 552, 570, 
##     576, 592, 588, 594, 589, 555, 554, 550, -94, -61, -9, 60, 
##     98, 153, 447, 492, 521, 545, 569, 588, 589, 614, 617, 620, 
##     617, 617, 601, 256, 64, 7, -30, -92, -201, -257, -294, -287, 
##     -287, -271, -271, -271, -100, 49, 177, 209, 342, 406, 438, 
##     473, 504, 522, 555, 571, 610, 622, 636, 517, 165, 25, -39, 
##     -760, -782, -757, -735, -642, -636, -673, -684, -704, -748, 
##     -779, -748, -654, -537, -252, -100, -40, 74, 830, 1070, 1210, 
##     1400, 1420, 1370, 1230, 1210, 1210, 1210, 1200, 1210, 1210, 
##     1220, 1250, 1340, 1360, 1320, 1180, 1080, 973, 786, 726, 
##     1240, 1230, 1120, 964, 850, 793, 668, 480, 354, -1, -72, 
##     -222, -613, -695, -728, -767, -782, -778, -774, -733, -707, 
##     -694, -654, -646, -649, -685, -698, -733, -737, -728, -698, 
##     -518, -615, -553, -186, -24, 124, 230, 288, 384, 487, 630, 
##     768, 850, 983, 1100, 1190, 1220, 1300, 1330, 1210, 1210, 
##     1210, 1200, 1200, 1210, 1220, 955, 927, 766, 623, 487, 351, 
##     252, 200, 33, -76, -196, -402, -633, -647, -676, -697, -688, 
##     -668, -621, -631, -653, -684, -693, -701, -697, -699, -143, 
##     -203, -263, -302, -362, -454, -557, -573, -602, -591, -554, 
##     -513, -445, -305, -260, -240, -100, 6, 37, 88, 134, 271, 
##     343, 443, 461, 477, -532, -543, -539, -459, -400, -281, -233, 
##     -193, 84, 140, 243, 305, 369, 479, 533, 576, 575, 580, 585, 
##     579, 585, 588, 583, 381, 297, 242, 222, 194, 157, 22, -53, 
##     -110, -262, -461, -470, -486, -385, 431, 350, 303, 210, 153, 
##     133, 0, 2, 13, 23, 39, 115, 152, 158, 207, 253, 273, 358, 
##     469, 524, 563, 578, 602, 741, -327, -362, -382, -443, -454, 
##     -469, -495, -501, -497, -496, -471, -454, -435, -425, -394, 
##     -337, -300, -254, -173, -3, 133, 383, 427, 464, 486, 576, 
##     585, 606, 604, 602, -221, -158, -93, -39, 15, 34, 79, 109, 
##     288, 363, 449, 498, 516, 536, 554, 513, 414, 398, 357, 314, 
##     252, 212, 184, 130, 1400, 1400, 1400, 1410, 1400, 1410, 1370, 
##     1380, 1390, 1410, 1420, 1430, 1420, 1410, 1400, 1310, 1290, 
##     1260, 1240, 1230, 1200, 1140, 1120, 1120, 1130, 1110, 1070, 
##     1050, 1030, 1030, 1040, 1030, 1010, 1000, 991, 973, 955, 
##     962, 969, 973, 982, 686, 681, 680, -700, -707, -714, -715, 
##     -698, -656, -483, -289, -259, -176, -65, -24, 58, 105, 190, 
##     231, 348, 435, 462, 630, 649, 715, 747, 828, 835, 811, 801, 
##     751, 711, 700, 619, 616, 601, 603, 616, 622, 641, 652, 678, 
##     740, 776, 795, 792, 781, 749, 720, 697, 625, 562, 456, 300, 
##     -61, -346, -430, -486, -510, -539, -572, -583, -616, -645, 
##     -644, -653, -654, -634, -611, -612, -587, -521, -503, -442, 
##     -370, -306, -73, 121, 257, 439, 474, 724, 764, 807, 814, 
##     836, 831, 831, 800, 783, 766, 754, 697, 681, 641, 636, 630, 
##     632, 646, 694, 755, 763, 800, 819, 822, 812, 780, 739, 716, 
##     654, 580, 482, 444, 376, 233, 117, 54, 11, -92, -192, -293, 
##     -361, -386, -469, -513, -530, -563, -618, -630, -666, -670, 
##     -645, -640, -616, -597, -500, -447, -426, -262, -196, -151, 
##     -73, 595, 596, 605, 635, 681, 705, 743, 764, 774, 799, 815, 
##     818, 197, 490, 535, 573, 599, 620, 630, 641, 653, 673, 712, 
##     719, 721, 723, 727, 721, 728, 727, 727, 730, 724, 731, 731, 
##     732, 733, 725, 736, 733, 735, 732, 742, 735, 735, 737, 731, 
##     731, 733, 732, 740, 733, 728, 730, 734, 726, 728, 718, 720, 
##     716, 722, 714, 707, 714, 701, 690, 683, 670, 630, 580, 552, 
##     395, 310, 230, -153, -196, -276, -353, -391, -569, -602, 
##     -616, -627, -635, -652, -645, -651, -639, -638, -639, -628, 
##     -633, -638, -639, -639, -636, -650, -656, -665, -684, -686, 
##     -692, -699, -658, -607, -503, -327, -103, 186, 499, 572, 
##     607, 658, 721, 742, 754, 762, 751, 749, 732, 734, 737, 741, 
##     735, 737, 738, 743, 739, 736, 720, 715, 705, 676, 666, 482, 
##     352, 217, -39, -132, -214, -327, -432, -480, -507, -557, 
##     -580, -636, -629, -633, -642, -648, -650, -654, -666, -673, 
##     -679, -685, -686, -678, -644, -347, -275, -232, -142, -63, 
##     -12, 80, 178, 303, 417, 552, 572, 622, 665, 692, 699, 724, 
##     731, 736, 729, 715, 711, -663, -647, -575, -499, -230, -13, 
##     195, 376, 413, 488, 527, 701, 731, 747, 739, 745, 737, 743, 
##     717, 679, 618, 461, -5, -247, -445, -482, -526, -553, -602, 
##     -647, -643, -646, -656, -663, -666, -637, -622, -550, -450, 
##     -417, -333, -195, -101, 132, 231, 278, 420, 455, 508, 558, 
##     577, 612, 655, 720, 715, 710, 690, 668, 618, 436, 384, 346, 
##     286, 175, 98, 23, -140, -200, -268, -439, -586, -617, -634, 
##     -637, -634, -638, -662, -666, -667, -661, -669, -668, -599, 
##     -586, -525, -504, -433, -361, -318, -304, -375, -402, -459, 
##     -519, -547, -581, -592, -608, -628, -649, -670, -709, -713, 
##     -711, -699, -698, -688, -671, -660, -638, -615, -577, -469, 
##     -439, -271, -200, -152, -64, 23, 60, 161, 242, 371, 532, 
##     579, 597, 663, 705, 733, 746, 755, 754, 752, 747, 746, 755, 
##     740, 735, 718, 718, 599, 222, -140, -230, -330, -418, -636, 
##     -657, -669, -681, -699, -686, -678, -637, -587, -557, -480, 
##     -452, -287, -176, 179, 407, 519, 596, 734, 775, 771, 749, 
##     734, 672, 663, 654, 663, 674, 678, 713, 724, 719, 725, 676, 
##     597, 565, 497, 419, 378, 256, 89, -27, -103, -576, -638, 
##     -652, -669, -670, -638, -619, -610, -543, -526, -485, -304, 
##     -201, -122, -91, -23, 59, 97, 172, 369, 477, 545, 577, 664, 
##     673, 695, 714, 731, 736, 737, 732, 728, 730, 719, 718, 728, 
##     718, 702, 695, 667, 625, 576, 553, 492, 423, 390, 96, -22, 
##     -135, -318, -447, -595, -636, -700, -719, -724, -723, -722, 
##     -703, -679, -661, -643, -630, -569, -521, -511, -461, -414, 
##     -390, -332, -236, -59, 9, 86, 484, 621, 651, 698, 718, 727, 
##     738, 744, 745, 740, 732, 738, 736, 738, 742, 749, 752, 749, 
##     754, 753, 754, 753, 754, 751, 749, 748, 744, 743, 748, 750, 
##     744, 751, 754, 739, 750, 753, 750, 757, 761, 765, 767, 760, 
##     754, 756, 738, 736, 732, 726, 726, 727, 729, 720, 725, 715, 
##     717, 718, 717, 719, 715, 712, 712, 714, 707, 708, 705, 702, 
##     700, 701, 701, 712, 719, 724, 741, 753, 763, 196, 217, 424, 
##     499, 498, 526, 540, 545, 547, 531, 526, 510, 493, 486, 471, 
##     448, 434, 410, 375, 352, 312, -83, -105, -420, -522, -535, 
##     -447, -228, -32, 31, 190, 312, 361, 395, 409, 464, 479, 506, 
##     568, 621, 632, 656, 684, 715, 738, 744, 794, 786, 772, 772, 
##     772, 765, 762, 749, 752, 744, 756, 769, 767, 785, 783, 781, 
##     774, 765, 748, 717, 533, 425, 234, 86, -357, -491, -779, 
##     -780, -778, -786, -790, -780, -765, -695, -618, -557, -350, 
##     -181, -48, 167, 267, 354, 408, 497, 609, 659, 720, 755, 775, 
##     779, 772, 759, 752, 752, 741, 751, 763, 770, 769, 770, 759, 
##     607, 530, 251, 141, -17, -233, -409, -560, -656, -725, -752, 
##     -795, -766, -740, -719, -618, -411, 70, 141, 456, 523, 567, 
##     454, 509, 525, 597, 624, 645, 649, 651, 645, 641, 623, 606, 
##     576, 553, 520, 469, 434, 362, 306, 252, 190, 157, 125, 108, 
##     75, 18, -124, -137, -233, -242, -259, -268, -325, -360, -416, 
##     -374, -346, -335, -223, -111, -42, 76, 103, 201, 228, 309, 
##     367, 381, 407, 431, 481, 514, 554, 568, 609, 614, 631, 646, 
##     646, 671, 670, 663, 661, 599, 588, 565, 535, 444, 396, 173, 
##     98, 48, 4, -18, -94, -197, -238, -262, -285, -310, -316, 
##     -334, -356, -462, -489, -514, -473, -469, -460, -451, -446, 
##     -351, -306, -280, -260, -249, -221, -208, -183, -131, -32, 
##     -23, 17, 63, 88, 146, 166, 262, 336, 365, 414, 517, 588, 
##     615, 672, 708, 722, 719, 721, 726, 732, 731, 735, 740, 738, 
##     741, 741, 743, 738, 732, 724, 718, 715, 714, 702, 699, 701, 
##     700, 703, 703, 703, 718, 701, 707, 699, 694, 706, 699, 689, 
##     691, 692, 674, 675, 660, 671, 674, 683, 702, 720, 734, 744, 
##     756, 761, 752, 747, 740, 725, 706, 666, 519, 447, 376, 341, 
##     264, -19, -127, -259, -284, -330, -353, -480, -514, -532, 
##     -532, -527, -530, -502, -491, -461, -423, -387, -375, -305, 
##     -283, -114, -88, -35, -4, 50, 126, 172, 200, 250, 385, 408, 
##     476, 551, 568, 622, 722, 733, 749, 752, 745, 719, 714, 686, 
##     666, 661, 648, 643, 646, 678, 683, 712, 731, 754, 758, 752, 
##     740, 685, 597, 449, 334, 313, 251, 173, 112, 71, 19, -121, 
##     -146, -211, -258, -275, -326, -352, -360, -372, -400, -413, 
##     -423, -426, -430, -409, -392, -379, -335, -293, -269, -240, 
##     -168, -29, 101, 219, 385, 441, 491, 544, 626, 641, 709, 720, 
##     747, 743, 731, 718, 707, 698, 693, 694, 700, 698, 699, 706, 
##     717, 723, 725, 746, 751, 750, 733, 711, 716, 647, 636, 591, 
##     577, 443, 380, 225, 142, 57, -20, -130, -330, -385, -558, 
##     -558, -551, -513, -497, -480, -458, -404, -358, -328, -298, 
##     -237, -151, -129, -49, 44, 130, 222, 323, 347, 393, 454, 
##     512, 652, 671, 711, 717, 731, 742, 742, 735, 740, 733, 731, 
##     734, 710, 696, 703, 689, 686, 693, 717, 713, 733, 732, 743, 
##     767, 752, 753, 719, 711, 692, 661, 622, 617, 576, 508, 429, 
##     298, 199, 98, 37, -74, -127, -177, -201, -225, -246, -351, 
##     -385, -448, -458, -467, -501, -492, -476, -459, -446, -424, 
##     -413, -296, -264, -245, -162, -94, -62, -16, 43, 71, 111, 
##     250, 301, 404, 444, 514, 575, 613, 705, 731, 732, 731, 744, 
##     716, 713, 712, 705, 700, 706, 714, 708, 724, 725, 734, 737, 
##     726, 710, 671, 624, 604, 580, 560, 367, 199, 114, 83, -68, 
##     -141, -227, -274, -348, -440, -488, -518, -545, -554, -565, 
##     -573, -575, -572, -559, -537, -533, -504, -467, -426, -417, 
##     -383, -353, -311, 732, 733, 735, 739, 747, 751, 764, 772, 
##     775, 791, 795, 786, 777, 726, 637, 387, 325, 118, -97, -108, 
##     -167, -220, -283, -314, -358, -420, -486, -504, -519, -523, 
##     -528, -531, -533, -522, -522, -518, -484, -440, -420, -342, 
##     -293, -273, -229, -177, -87, 48, 89, 315, 523, 545, 623, 
##     641, 702, 716, 714, 716, 721, 722, 704, 701, 699, 704, 699, 
##     698, 702, 701, 688, 667, 560, 479, 408, 302, 244, 125, 28, 
##     -37, -128, -252, -319, -388, -467, -514, -573, -565, -544, 
##     -534, -525, -500, -467, -436, -385, -225, -182, -146, -13, 
##     74, 108, 223, 322, 552, 578, 612, 685, 700, 715, 744, 735, 
##     737, 734, 726, 727, 724, 704, 692, 693, 679, 686, 681, 716, 
##     727, 743, 729, 708, 659, 604, 573, 553, 412, 326, 89, 56, 
##     18, -33, -117, -155, -363, -419, -444, -521, -529, -538, 
##     -538, -524, -512, -513, -482, -477, -457, -421, -334, -314, 
##     -268, -241, -203, -156, -124, -70, -47, 64, 258, 319, 344, 
##     497, 565, 585, 648, 720, 772, 772, 764, 740, 739, 741, 727, 
##     712, 706, 709, 713, 718, 730, 736, 750, 753, 748, 730, 709, 
##     695, 569, 528, 464, 416, 254, 199, 115, 75, -158, -236, -287, 
##     -490, -504, -525, -539, -563, -561, -513, -494, -430, -396, 
##     -352, -345, -243, -213, -130, 49, 118, 144, 219, 250, 371, 
##     515, 526, 567, 587, 654, 718, 732, 748, 750, 759, 748, 737, 
##     716, 717, 699, 1110, 1170, 1180, 1220, 1240, 1230, 1220, 
##     1200, 1190, 1180, 1180, 1170, 1160, 1140, 1140, 1140, 1130, 
##     1140, 1160, 1160, 1170, 1180, 1180, 1170, 1180, 1180, 1190, 
##     1190, 1190, 1190, 1190, 1190, 1200, 1190, 1210, 1200, 1200, 
##     1200, 1200, 1200, 1190, 1190, 1180, 1170, 1140, 1100, 1070, 
##     1040, 508, 428, 283, -1, -186, -413, -480, -880, -882, -877, 
##     -857, -856, -862, -896, -858, -848, -827, -782, -711, -606, 
##     -362, -327, -258, -141, -65, 3, 54, 45, 29, -60, -217, -251, 
##     -351, -437, -505, -695, -770, -808, -814, -802, -139, -294, 
##     -344, -445, -780, -826, -841, -838, -821, -798, -784, -775, 
##     -774, -783, -819, -874, -885, -882, -690, -586, -519, -401, 
##     -215, -144, 77, 126, 146, 188, 209, 239, 253, 227, 189, 155, 
##     76, 47, -22, -453, -501, -588, -631, -774, -810, -848, -851, 
##     -842, -831, -802, -787, -773, -777, -800, -842, -855, -851, 
##     -824, -805, -680, -626, -525, -127, 19, 109, 162, 173, 247, 
##     262, 284, 282, 277, 211, 196, 80, 24, -157, -316, -538, -728, 
##     -807, -805, -821, -806, -775, -751, -724, -711, -700, -782, 
##     -807, -827, -844, -854, -832, -802, -783, -744, -658, -75, 
##     -24, 75, 152, 358, 495, 528, 607, 730, 738, 772, 748, 723, 
##     703, 587, 533, 482, 313, 259, -147, -355, -512, -565, -721, 
##     -834, -854, -828, -792, -736, -776, -831, -832, -859, -835, 
##     -805, -631, -609, -503, -427, -360, -251, -212, -149, 51, 
##     107, 213, 355, 384, 420, 400, 307, 279, 85, -11, -216, -535, 
##     -580, -670, -722, -755, -773, -768, -763, -740, -681, -627, 
##     -687, -703, -770, -783, -810, -814, -750, -710, -630, -594, 
##     -524, -288, -221, -184, 27, 54, 104, 129, 153, 168, 161, 
##     21, -498, -641, 194, 174, 131, 128, 48, 17, -54, -293, -339, 
##     -431, -540, -629, -706, -762, -768, -764, -740, -722, -651, 
##     -639, -665, -690, -708, -733, -811, -811, -801, -778, -766, 
##     -700, -652, -571, -376, -316, -268, -194, -158, 55, 73, 225, 
##     317, 328, 321, 296, 278, 252, 196, 114, 40, -93, -250, -347, 
##     -402, -490, -535, -599, -696, -743, -793, -785, -722, -707, 
##     -623, -605, -645, -719, -781, -799, -807, -811, -704, -669, 
##     -641, -582, -531, -512, -419, -265, -175, -29, 18, 118, 278, 
##     364, 410, 631, 734, 798, 839, 907, 1080, 1160, 1200, 1230, 
##     1370, 1400, 1400, 1430, 1440, 1450, 1450, 1450, 1440, 1440, 
##     1420, 1410, 1400, 1400, 1400, 1400, 1410, 1420, 1420, 1420, 
##     1440, 1440, 1440, 1430, 1430, 1430, 1430, 1430, 1440, 1440, 
##     1450, 1440, 1450, 1440, 1440, 1440, 1450, 1450, 1450, 1450, 
##     1450, 1450, 1440, 1440, 1430, 1430, 1420, 1410, 1370, 1380, 
##     1390, 1400, 1420, 1430, 1430, 1450, 1450, 1440, 1440, 1420, 
##     618, 613, 618, 618, 621, 611, 608, 614, 614, 616, 598, 614, 
##     605, 607, 607, 613, 615, 614, 606, 613, 608, 599, 607, 605, 
##     610, 607, 603, 615, 618, 615, 616, 620, 661, 675, 683, 702, 
##     721, 752, 729, 735, 735, 724, 721, 734, 742, 778, 781, 752, 
##     745, 652, 617, 119, 61, -235, -330, -530, -555, -541, -525, 
##     -215, -167, -56, 59, 120, 591, 791, 796, 783, 733, 677, 659, 
##     649, 638, 672, 712, 741, 764, 781, 792, 726, 658, 515, 397, 
##     397, 270, 221, 84, 20, -267, -374, -474, -517, -517, -545, 
##     -545, -551, -551, -536, -531, -506, -464, -449, -315, -24, 
##     366, 419, 621, 654, 710, 764, 793, 761, 730, 642, 629, 614, 
##     631, 639, 638, 660, 707, 789, 751, 730, 519, 412, 131, 70, 
##     -117, -171, -379, -379, -428, -443, -461, -470, -419, -341, 
##     -217, -14, 173, 434, 620, 691, 753, 766, 802, 777, 702, 646, 
##     643, 649, 656, 673, 699, 699, 702, 735, 759, 779, 788, 652, 
##     613, 472, 246, 192, -361, -392, -432, -422, -373, -373, -305, 
##     -240, -161, -8, 154, 202, 432, 505, 751, 778, 792, 767, 733, 
##     673, 665, 657, 665, 720, 764, 778, 792, 787, 504, -85, -184, 
##     -184, -285, -337, -361, -361, -391, -407, -374, -88, 59, 
##     476, 527, 548, 632, 749, 767, 795, 802, 782, 769, 722, 701, 
##     653, 656, 654, 663, 660, 676, 706, 731, 752, 765, 798, 796, 
##     775, 750, 750, 692, 580, 544, 306, 210, 68, -123, -173, -173, 
##     -173, -247, -303, -324, -361, -373, -379, -360, -307, -51, 
##     40, 98, 293, 341, 440, 633, 718, 779, 797, 797, 769, 725, 
##     692, 675, 655, 655, 653, 678, 708, 761, 795, 776, 731, 640, 
##     559, 411, 356, 80, -258, -297, -451, -479, -476, -410, -271, 
##     -198, -126, 34, 285, 344, 519, 665, 712, 724, 806, 772, 692, 
##     660, 638, 624, 620, 620, 654, 713, 750, 705, 667, 626, 613, 
##     619, 619, 645, 726, 769, 798, 799, 715, 645, 609, 359, 165, 
##     -116, -435, -480, -489, -487, -464, -336, -226, 13, 101, 
##     389, 777, 791, 807, 798, 778, 775, 731, 714, 672, 672, 735, 
##     755, 794, 730, 638, 640, 646, 638, 654, 684, 695, 717, 722, 
##     737, 698, 697, 699, 698, 703, 699, 703, 703, 700, 699, 699, 
##     701, 690, 696, 701, 695, 700, 697, 702, 699, 694, 695, 695, 
##     694, 696, 702, 698, 701, 700, 703, 691, 694, 696, 699, 692, 
##     692, 693, 696, 687, 691, 691, 694, 693, 690, 753, 742, 717, 
##     697, 691, 669, 662, 639, 594, 558, 495, 484, 422, 262, 195, 
##     127, 116, 65, 62, 54, 60, 66, 69, 72, 79, 85, 99, 118, 131, 
##     137, 161, 198, 208, 297, 325, 344, 387, 427, 445, 481, 496, 
##     628, 642, 659, 669, 689, 715, 721, 732, 735, 739, 743, 742, 
##     742, 747, 739, 740, 739, 737, 738, 746, 733, 733, 731, 733, 
##     728, 712, 685, 598, 578, 543, 451, 384, 331, 303, 251, 104, 
##     78, -41, -62, -74, -83, -89, -77, -74, -28, 27, 37, 89, 178, 
##     259, 302, 392, 457, 515, 547, 562, 591, 605, 628, 654, 679, 
##     705, 710, 745, 752, 751, 753, 757, 762, 775, 771, 767, 771, 
##     773, 771, 774, 763, 776, 765, 763, 758, 759, 750, 741, 731, 
##     722, 704, 640, 255, 235, 116, 105, 52, 15, -2, -9, -21, -23, 
##     -29, -3, 18, 35, 44, 68, 83, 108, 166, 291, 349, 403, 496, 
##     528, 614, 624, 650, 663, 716, 731, 740, 760, 759, 770, 766, 
##     765, 762, 768, 764, 765, 769, 765, 770, 764, 764, 766, 765, 
##     760, 745, 733, 714, 653, 626, 609, 561, 517, 443, 285, 257, 
##     188, 164, 121, 96, -24, -41, -71, -63, -68, -59, -49, -30, 
##     2, 22, 25, 46, 71, 106, 259, 304, 322, 402, 449, 464, 507, 
##     557, 614, 654, 671, 692, 698, 720, 724, 735, 733, 733, 735, 
##     732, 733, 740, 736, 727, 726, 730, 730, 714, 708, 686, 684, 
##     662, 631, 606, 172, 220, 328, 380, 401, 475, 573, 613, 659, 
##     663, 679, 710, 712, 720, 750, 759, 752, 752, 751, 753, 751, 
##     747, 758, 755, 749, 745, 758, 752, 744, 727, 719, 720, 656, 
##     579, 534, 508, 354, 149, 120, 69, 39, -41, -123, -183, -255, 
##     -297, -301, -283, -269, -260, -251, -248, -238, -228, -215, 
##     -216, -203, -189, -96, -63, 65, 192, 272, 314, 398, 430, 
##     504, 547, 606, 702, 749, 762, 823, 835, 842, 838, 836, 830, 
##     826, 820, 799, 795, 779, 775, 761, 733, 738, 654, 654, 657, 
##     665, 670, 673, 679, 671, 673, 685, 684, 685, 705, 703, 707, 
##     711, 714, 715, 724, 734, 734, 746, 742, 740, 744, 735, 733, 
##     731, 722, 715, 706, 707, 697, 689, 687, 677, 648, 643, 639, 
##     636, 642, 627, 630, 619, 625, 618, 619, 621, 609, 612, 614, 
##     605, 626, 631, 702, 718, 789, 811, 814, 815, 796, 710, 625, 
##     589, 481, 411, 241, 166, 128, -4, -82, -253, -328, -432, 
##     -462, -511, -578, -628, -634, -662, -672, -677, -692, -683, 
##     -689, -676, -669, -665, -656, -637, -628, -589, -535, -516, 
##     -475, 837, 840, 833, 819, 807, 765, 685, 678, 654, 657, 650, 
##     631, 636, 649, 774, 809, 810, 717, 647, 593, 565, 501, -398, 
##     -365, -201, -168, -92, -63, 60, 132, 169, 279, 355, 391, 
##     453, 631, 759, 801, 826, 832, 704, 704, 697, 691, 679, 672, 
##     681, 673, 664, 665, 652, 649, 638, 635, 631, 635, 632, 639, 
##     632, 636, 635, 643, 635, 647, 640, 646, 651, 562, 543, 501, 
##     474, 438, 413, 365, 344, 87, 14, -126, -170, -174, -173, 
##     -167, -163, -99, -92, -57, 24, 213, -33, -279, -439, -549, 
##     -595, -732, -773, -778, -722, -656, -520, -461, -386, -339, 
##     -176, 54, 98, 200, 304, 370, 597, 722, 753, 774, 780, 773, 
##     759, 751, 759, 752, 755, 743, 700, 680, 784, 791, 785, 779, 
##     770, 766, 772, 783, 780, 777, 782, 774, 737, 710, 631, 572, 
##     449, 363, 208, 51, -210, -309, -359, -444, -623, -660, -689, 
##     -735, -719, -704, -686, -658, -541, -299, -201, -154, 54, 
##     119, 371, 464, 564, 631, 682, 732, 769, 791, 795, 794, 768, 
##     768, 767, 751, 750, 750, 757, 767, 773, 774, 666, 510, 481, 
##     394, 356, 166, 112, -115, -309, -434, -469, -566, -641, -677, 
##     -754, -749, -725, -538, -507, -418, -342, -290, -73, -11, 
##     103, 260, 360, 543, 595, 614, 726, 764, 787, 790, 796, 754, 
##     746, 738, 741, 738, 758, 766, 595, 629, 673, 718, 737, 782, 
##     792, 794, 798, 781, 776, 759, 760, 755, 759, 759, 761, 778, 
##     784, 763, 744, 665, 584, 644, 649, 749, 782, 789, 782, 784, 
##     747, 735, 722, 725, 721, 719, 720, 725, 749, 749, 753, 765, 
##     773, 782, 772, 768, 723, 686, 639, 601, 494, -561, -596, 
##     -676, -741, -742, -725, -707, -588, -478, -348, 30, 97, 195, 
##     374, 546, 574, 647, -758, -652, -447, -169, 333, 389, 474, 
##     518, 592, 688, 788, 792, 788, 789, 770, 780, 781, 781, 785, 
##     782, 787, 796, 787, 795, 793, 800, 802, 801, 791, 801, 797, 
##     787, 793, 790, 785, 789, 791, 790, 790, 784, 690, 689, 692, 
##     685, 676, 689, 689, 682, 680, 684, 680, 677, 684, 684, 684, 
##     686, 687, 697, 700, 710, 712, 715, 709, 704, 713, 711, 707, 
##     699, 697, 693, 683, 682, 687, 684, 685, 683, 683, 681, 682, 
##     688, 689, 677, 690, 689, 693, 693, 698, 691, 697, 688, -263, 
##     -238, -181, -89, 153, 332, 398, 543, 636, 672, 716, 764, 
##     771, 774, 768, 762, 756, 721, 721, 730, 729, 727, 730, 722, 
##     726, 718, 713, 716, 715, 708, 705, 708, 710, 704, 703, 711, 
##     703, 706, 702, 702, 697, 704, 699, 704, 708, 703, 650, 656, 
##     671, 677, 684, 716, 718, 770, 713, 441, 137, 13, 13, -103, 
##     -155, -403, -462, -521, -540, -541, -529, -447, -415, -347, 
##     -131, -21, 655, 692, 756, 799, 784, 744, 642, 557, 557, 500, 
##     500, 374, 309, 41, -32, -155, -262, -262, -302, -410, -449, 
##     -306, -140, 155, 485, 533, 770, 769, 779, 782, 783, 763, 
##     761, 753, 745, 717, 725, 709, 707, 709, 704, 701, 709, 707, 
##     716, 716, 720, 720, 717, 734, 734, 739, 731, 735, 731, 1440, 
##     1450, 1440, 1450, 1440, 1440, 1440, 1450, 1440, 1450, 1440, 
##     1450, 1450, 1440, 1450, 1440, 1440, 1450, 1450, 1440, 1440, 
##     1460, -720, -768, -783, -760, -671, -682, -693, -815, -807, 
##     -778, -717, -674, -575, -491, -386, -191, -134, -52, -32, 
##     14, 55, 78, 114, 139, -763, -783, -787, -831, -832, -840, 
##     -850, -833, -806, -763, -727, -607, -531, -448, -403, -282, 
##     -193, -73, -9, 161, 194, 366, 375, 359, 103, 61, 698, 713, 
##     734, 753, 729, 716, 730, 765, 736, 730, 650, 599, 530, 487, 
##     365, 266, 169, 122, 16, -131, -233, -276, -366, -569, -653, 
##     -686, -743, -769, -772, -782, 636, 438, 203, 100, 46, -65, 
##     -318, -427, -542, -576, -636, -700, -716, -652, -621, -549, 
##     -471, -436, -356, 43, 108, 334, 375, 778, 780, 779, 760, 
##     730, 612, 329, 289, -44, -97, -187, -319, -479, -679, -724, 
##     -724, -573, -520, -391, 77, 235, 476, 693, 641, 587, 545, 
##     474, 365, 277, 202, 9, -87, -231, -416, -458, -592, -668, 
##     -712, -706, -686, -601, -587, -532, -426, -270, -208, -107, 
##     135, 682, 718, 776, 779, 797, 795, 791, 789, 780, 772, 766, 
##     758, 758, 755, 759, 768, 768, 778, 788, 786, 765, 736, 709, 
##     576, 701, 734, 748, 739, 725, 711, 695, 702, 693, 714, 736, 
##     732, 648, 389, 260, 180, 89, -47, -81, -227, -268, -404, 
##     -447, -493, -136, -209, -275, -372, -433, -551, -566, -606, 
##     -631, -664, -691, -706, -700, -672, -666, -639, -630, -552, 
##     -461, -342, -259, 78, 246, 293, 378, 475, 643, -87, 385, 
##     517, 614, 750, 763, 749, 750, 750, 752, 744, 751, 749, 735, 
##     726, 703, 630, 543, 417, 165, -35, 708, 668, 670, 640, 575, 
##     538, 479, 448, 250, 37, -435, -490, -518, -591, -605, -621, 
##     -630, -632, -621, -621, -618, -639, -653, -654, -666, -665, 
##     -672, -673, -672, 382, 517, 839, 852, 821, 765, 752, 712, 
##     653, 633, 629, 613, 273, 229, 152, 119, -11, -85, -126, -420, 
##     -570, -587, -635, -654, -678, -686), magnet_forearm_z = c(476, 
##     473, 469, 469, 473, 478, 470, 474, 476, 473, 465, 478, 472, 
##     478, 472, 471, 481, 472, 466, 480, 469, 478, 467, 470, 470, 
##     462, 467, 477, 469, 479, 469, 466, 473, 465, 464, 471, 472, 
##     469, 472, 478, 470, 464, 465, 460, 464, 464, 469, 462, 460, 
##     461, 473, 467, 475, 474, 476, 477, 472, 463, 477, 477, 467, 
##     476, 471, 475, 475, 471, 472, 473, 475, 471, 467, 472, 468, 
##     469, 466, 475, 465, 463, 476, 462, 468, 473, 467, 467, 470, 
##     462, 463, 472, 462, 464, 477, 472, 471, 461, 472, 468, 469, 
##     468, 462, 462, 479, 467, 463, 466, 472, 468, 463, 468, 457, 
##     462, 471, 468, 464, 473, 470, 468, 463, 464, 469, 469, 471, 
##     465, 460, 470, 470, 468, 476, 471, 463, 474, 470, 476, 469, 
##     470, 473, 476, 466, 469, 476, 462, 471, 470, 472, 471, 462, 
##     466, 475, 479, 472, 476, 472, 473, 468, 468, 463, 470, 470, 
##     475, 472, 464, 467, 471, 466, 469, 475, 636, 633, 640, 628, 
##     628, 639, 633, 631, 638, 642, 644, 642, 646, 650, 647, 642, 
##     651, 657, 651, 650, 646, 643, 664, 656, 657, 659, 659, 656, 
##     654, 661, 658, 658, 658, 662, 665, 657, 658, 664, 666, 667, 
##     675, 671, 677, 674, 673, 677, 676, 677, 676, 691, 678, 683, 
##     687, 690, 682, 689, 690, 693, 706, 696, 704, 701, 704, 706, 
##     723, 726, 736, 731, 738, 730, 730, 720, 718, 705, 689, 674, 
##     667, 665, 662, 655, 651, 630, 631, 624, 631, 630, 618, 620, 
##     626, 615, 633, 652, 659, 673, 692, 702, 712, 707, 707, 712, 
##     702, 711, 708, 708, 736, 734, 739, 731, 742, 728, 722, 724, 
##     709, 707, 714, 704, 697, 700, 687, 677, 680, 671, 668, 662, 
##     664, 649, 657, 644, 640, 618, 614, 624, 632, 623, 614, 621, 
##     630, 619, 611, 618, 615, 621, 625, 622, 604, 601, 590, 584, 
##     578, 574, 570, 573, 574, 570, 582, 577, 576, 575, 574, 576, 
##     578, 581, 560, 565, 574, 562, 579, 565, 573, 568, 565, 564, 
##     555, 563, 564, 562, 562, 575, 575, 560, 557, 567, 577, 573, 
##     573, 586, 580, 572, 582, 591, 583, 575, 581, 586, 578, 571, 
##     575, 572, 579, 574, 576, 580, 575, 575, 572, 575, 574, 568, 
##     583, 578, 585, 576, 581, 585, 522, 509, 472, 447, 387, 326, 
##     280, 257, 210, 182, 175, 135, 143, 162, 168, 211, 230, 311, 
##     329, 454, 511, 573, 591, 612, 616, 634, 647, 656, 673, 661, 
##     662, 656, 683, 687, 667, 660, 637, 628, 619, 611, 607, 596, 
##     598, 588, 597, 593, 591, 598, 591, 586, 594, 588, 585, 584, 
##     572, 560, 553, 539, 528, 527, 506, 498, 491, 444, 415, 403, 
##     376, 315, 275, 255, 182, 165, 117, 112, 107, 108, 129, 177, 
##     184, 216, 239, 260, 281, 325, 363, 430, 507, 584, 659, 660, 
##     664, 661, 675, 678, 693, 704, 704, 700, 685, 665, 657, 643, 
##     624, 618, 622, 632, 630, 623, 624, 620, 638, 635, 632, 636, 
##     633, 632, 638, 616, 622, 588, 564, 568, 553, 534, 517, 502, 
##     489, 761, 767, 760, 753, 754, 749, 742, 747, 727, 723, 709, 
##     704, 702, 653, 654, 650, 648, 649, 657, 662, 664, 669, 679, 
##     695, 702, 662, 657, 628, 626, 615, 597, 596, 504, 412, 245, 
##     204, 188, 164, 133, 164, 180, 194, 203, 225, 247, 263, 338, 
##     373, 407, 426, 467, 482, 568, 645, 669, 767, 778, 782, 789, 
##     773, 776, 751, 756, 751, 741, 728, 677, 679, 675, 678, 675, 
##     668, 658, 660, 658, 651, 662, 635, 604, 591, 590, 579, 546, 
##     494, 458, 421, 243, 232, 199, 148, 138, 164, 684, 677, 679, 
##     678, 664, 664, 676, 685, 691, 683, 677, 636, 605, 598, 578, 
##     564, 515, 500, 447, 431, 397, 371, 334, 322, 242, 206, 174, 
##     152, 154, 671, 663, 659, 665, 661, 658, 640, 649, 647, 644, 
##     624, 623, 569, 535, 532, 484, 436, 393, 360, 257, 239, 279, 
##     484, 526, 556, 568, 597, 622, 634, 655, 493, 438, 415, 415, 
##     391, 355, 296, 303, 309, 309, 368, 427, 482, 518, 535, 612, 
##     614, 659, 666, 669, 699, 739, 691, 666, 693, 703, 710, 697, 
##     694, 680, 684, 703, 700, 710, 697, 695, 122, 110, 80, 46, 
##     28, -14, -41, -66, -83, -101, -96, -93, -93, -70, -61, -44, 
##     -3, 29, 41, 63, 80, 92, 85, 52, 25, 24, -5, -7, -31, -44, 
##     -55, -71, -78, -80, -37, 5, 32, 74, 116, 119, 112, 74, 65, 
##     -68, -93, -67, -55, 100, 105, 86, 82, 63, 44, 26, 10, -27, 
##     -25, -54, -49, -66, -48, -15, 8, 48, 57, 62, 91, 92, 93, 
##     56, 42, 16, -8, -23, -34, -38, -27, -26, -20, -4, 29, 49, 
##     81, 85, 73, 46, 35, -26, -36, -46, -31, -21, -7, 8, 80, 88, 
##     98, 102, 83, 60, 24, -9, -33, -24, -29, 14, 39, 64, 69, 80, 
##     46, 39, 15, 7, 21, 16, 35, 43, 49, 62, 51, 40, 30, 41, 55, 
##     74, 74, 71, 66, 55, 32, 17, 16, 17, 13, 22, 10, 13, 32, 31, 
##     27, 54, 60, 59, 61, 71, 54, 45, 6, 4, 3, 0, -11, 4, 4, 25, 
##     59, 67, 67, 58, 51, 21, -23, -38, -9, 31, 60, 88, 87, 78, 
##     59, 36, 15, 0, -25, -29, -39, -46, -44, -19, -18, 13, 10, 
##     26, 54, 64, 71, 74, 75, 67, 54, 52, 41, 38, -22, -34, -37, 
##     -49, -40, -48, -45, -35, -16, 1, -9, 0, 26, 8, 723, 707, 
##     703, 694, 687, 667, 648, 603, 580, 571, 565, 545, 554, 570, 
##     574, 586, 595, 603, 619, 674, 698, 780, 792, 776, 6, -5, 
##     -9, -4, -14, -19, -25, -24, -38, -23, -25, -18, -18, -23, 
##     -127, -171, -279, -504, -523, -567, -504, -466, -475, -549, 
##     -541, -518, -426, -415, -417, -505, -557, -586, -593, -547, 
##     -536, -499, -476, -486, -398, -254, -49, 191, 328, 360, 157, 
##     120, 82, 16, -18, -82, -87, -139, -182, -213, -220, -195, 
##     -178, -48, -18, 10, 53, 82, 378, 387, 399, 409, 472, 528, 
##     556, 563, 513, 529, 532, 532, 527, 532, 534, 530, 529, 539, 
##     542, 541, 561, 569, 566, 557, 530, 521, 491, 482, 454, 436, 
##     426, 423, 446, 448, 460, 450, 447, 439, 414, 399, 387, 373, 
##     377, 411, 418, 298, 298, 302, 339, 343, 350, 349, 344, 357, 
##     347, 344, 351, 341, 344, 353, 349, 343, 336, 327, 324, 331, 
##     339, 332, 341, 343, 346, 353, 363, 485, 483, 459, 414, 424, 
##     467, 455, 477, 505, 490, 519, 512, 518, 510, 519, 532, 541, 
##     542, 543, 551, 553, 563, 571, 554, 553, 551, 550, 556, 563, 
##     557, 560, 565, 569, 581, 561, 571, 558, 555, 567, 575, 575, 
##     573, 583, 587, 621, 646, 660, 699, 724, 771, 785, 804, 807, 
##     792, 748, 702, 690, 629, 505, 476, 476, 449, 453, 394, 394, 
##     412, 402, 405, 409, 416, 422, 422, 438, 426, 419, 416, 413, 
##     419, 423, 425, 422, 431, 453, 451, 470, 466, 462, 463, 484, 
##     471, 480, 483, 481, 485, 485, 479, 480, 470, 473, 462, 448, 
##     430, 434, 423, 438, 445, 452, 453, 452, 453, 444, 450, 461, 
##     464, 452, 445, 447, 449, 444, 421, 430, 417, 420, 424, 426, 
##     429, 434, 428, 413, 414, 439, 461, 448, 450, 431, 426, 465, 
##     465, 468, 479, 465, 444, 419, 437, 441, 464, 482, 500, 512, 
##     521, 529, 555, 561, 574, 567, 584, 580, 580, 578, 583, 587, 
##     594, 598, 599, 616, 624, 619, 619, 581, 567, 559, 564, 567, 
##     565, 560, 565, 550, 540, 550, 540, 546, 528, 536, 531, 522, 
##     516, 512, 509, 503, 505, 500, 496, 498, 494, 500, 511, 513, 
##     503, 494, 504, 512, 512, 505, 496, 475, 470, 463, 466, 458, 
##     457, 462, 437, 429, 397, 396, 401, 653, 660, 664, 671, 677, 
##     686, 679, 668, 660, 658, 608, 594, 588, 563, 583, 576, 587, 
##     595, 589, 586, 575, 583, 567, 579, 561, 545, 538, 554, 555, 
##     542, 546, 534, 534, 539, 541, 526, 527, 544, 551, 558, 571, 
##     569, 573, 579, 566, 571, 565, 561, 568, 550, 539, 502, 489, 
##     450, 442, 440, 425, 434, 422, 406, 397, 402, 403, 394, 387, 
##     382, 377, 371, 373, 379, 379, 379, 402, 417, 423, 425, 488, 
##     501, 513, 536, 554, 574, 610, 630, 653, 674, 696, 703, 704, 
##     713, 758, 752, 750, 730, 725, 690, 670, 637, 555, 545, 518, 
##     508, 503, 498, 501, 503, 514, 500, 502, 498, 497, 507, 508, 
##     514, 515, 513, 512, 513, 512, 505, 499, 501, 518, 519, 530, 
##     539, 559, 560, 588, 593, 598, 576, 571, 566, 567, 561, 546, 
##     537, 527, 519, 512, 498, 475, 469, 458, 440, 429, 431, 433, 
##     427, 423, 428, 425, 438, 443, 459, 456, 453, 480, 481, 528, 
##     566, 609, 623, 642, 697, 698, 725, 738, 740, 774, 823, 850, 
##     850, 818, 783, 771, 759, 754, 742, 729, 742, 720, 705, 693, 
##     678, 649, 615, 606, 609, 606, 605, 624, 604, 607, 615, 606, 
##     607, 614, 613, 614, 643, 672, 672, 681, 700, 701, 694, 678, 
##     690, 670, 662, 647, 638, 625, 602, 591, 589, 578, 561, 511, 
##     804, 775, 768, 745, 738, 690, 688, 653, 643, 634, 625, 614, 
##     599, 596, 589, 583, 584, 580, 580, 564, 564, 558, 558, 569, 
##     574, 577, 590, 622, 637, 646, 650, 658, 646, 650, 662, 673, 
##     682, 697, 687, 675, 654, 639, 630, 565, 550, 534, 495, 494, 
##     479, 478, 470, 445, 416, 401, 399, 391, 409, 390, 398, 392, 
##     392, 392, 390, 385, 390, 401, 415, 437, 478, 724, 741, 772, 
##     767, 794, 795, 811, 813, 823, 816, 817, 808, 803, 799, 763, 
##     759, 761, 747, 740, 735, 512, 518, 499, 451, 453, 456, 430, 
##     432, 438, 425, 419, 421, 416, 418, 417, 414, 426, 411, 420, 
##     419, 427, 418, 431, 430, 431, 435, 457, 453, 471, 498, 530, 
##     564, 581, 600, -370, -370, -378, -373, -381, -384, -367, 
##     -380, -381, -375, -373, -372, -382, -378, -382, -376, -380, 
##     -377, -379, -388, -375, -380, -378, -368, -385, -379, -372, 
##     -384, -372, -373, -379, -380, -379, -375, -374, -374, -378, 
##     -377, -382, -372, -378, -373, -378, -381, -373, -380, -367, 
##     -381, -383, -383, -383, -382, -390, -382, -386, -384, -394, 
##     -398, -387, -389, -393, -374, -385, -380, -384, -386, -390, 
##     -395, -391, -389, -388, -388, -395, -385, -387, -386, -383, 
##     -386, -385, -393, -389, -390, -397, -396, -398, -396, -401, 
##     -389, -394, -384, -396, -414, -404, -420, -407, -410, -420, 
##     -411, -415, -404, -420, -418, -418, -424, -419, -418, -419, 
##     -419, -408, -411, -417, -361, -74, -55, 69, 94, 87, 99, 101, 
##     73, 62, 40, 31, 31, 13, 6, -3, 3, 6, 2, 19, 11, 18, 24, 28, 
##     20, 6, 12, -1, -1, -4, -32, -65, -77, -101, -118, -214, -254, 
##     -270, -275, -309, -320, -347, -372, -376, -383, -388, -401, 
##     -429, -445, -452, -466, -457, -453, -451, -452, -460, -478, 
##     -485, -490, -489, -498, -497, -483, -472, -453, -455, -405, 
##     -358, -270, -148, -94, -55, -16, 9, 89, 108, 117, 131, 133, 
##     125, 130, 119, 120, 107, 93, 77, 85, 62, 61, 31, 24, 30, 
##     32, 114, -504, -492, -482, -503, -504, -508, -517, -517, 
##     -514, -510, -511, -492, -479, -459, -440, -366, -339, -315, 
##     -269, -215, -195, -163, -123, -89, -58, -39, 9, 36, 32, 42, 
##     45, 20, 20, 5, -7, -13, -31, -17, -21, -16, -21, -8, -12, 
##     -3, -10, -9, -19, -45, -42, -76, -91, -106, -156, -165, -212, 
##     -233, -265, -582, -574, -577, -575, -580, -581, -580, -534, 
##     -481, -464, -430, -367, -265, -253, -154, -15, 23, 48, 65, 
##     64, 24, -7, -10, -27, -35, -20, -1, 8, 16, 21, 42, 51, 48, 
##     4, -18, -218, -272, -313, -352, -383, -469, -502, -519, -536, 
##     -579, -595, -609, -90, -125, -149, -226, -255, -312, -324, 
##     -345, -355, -408, -440, -438, -463, -491, -507, -515, -527, 
##     -528, -529, -510, -502, -528, -538, -536, -534, -550, -557, 
##     -546, -538, -532, -518, -504, -433, -405, -256, -204, -126, 
##     -59, -24, -5, 25, 86, 98, 109, 125, 117, 81, 72, 62, 41, 
##     36, 33, 37, 37, 35, 48, 54, 64, 57, 61, 69, 86, 95, 64, -52, 
##     -112, -170, -225, -295, -352, -399, -423, -433, -445, -476, 
##     -489, -497, -510, -534, -550, -570, -572, -574, -580, -598, 
##     -582, -586, -581, -581, -583, -573, -584, -582, -588, -580, 
##     -575, -555, -564, -553, -506, -492, -459, -376, -318, -265, 
##     -252, -103, 48, 67, 109, 102, 133, 143, 122, 111, 104, 68, 
##     62, 57, 68, 74, 86, 87, 94, 130, 138, 150, 158, 147, 132, 
##     118, 99, 81, 72, 49, -543, -542, -549, -552, -534, -532, 
##     -424, -316, -265, -246, -188, -142, -76, -39, -5, 36, 49, 
##     116, 129, 123, 123, 117, 121, 105, 104, 95, 86, 83, 104, 
##     134, 132, 143, 159, 151, 131, 125, 103, 56, 49, -62, -308, 
##     -340, -362, -378, -434, -575, -567, -552, -529, -530, -526, 
##     -524, -528, -522, -531, -541, -538, -543, -540, -529, -516, 
##     -499, -505, -484, -479, -453, -362, -355, -306, -188, -122, 
##     -58, -17, 14, 62, 72, 116, 111, 119, 129, 123, 129, 129, 
##     129, 136, 153, 171, 161, 148, 47, -10, -87, -186, -226, -241, 
##     -262, -286, -366, -390, -425, -465, -519, -539, -558, -566, 
##     -610, -630, -647, -671, -677, -652, -621, -603, -595, -595, 
##     -595, -596, -628, -635, -683, -684, -569, -528, -495, -51, 
##     103, 105, 92, 91, 108, 109, 117, 123, 109, 108, 60, 58, -8, 
##     -51, -74, -99, -134, -144, -172, -185, -264, -298, -315, 
##     -374, -412, -428, -433, -429, -420, -436, -457, 697, 701, 
##     708, 698, 695, 718, 732, 696, 700, 698, 710, 687, 687, 696, 
##     701, 705, 710, 704, 698, 692, 699, 691, 695, 697, 706, 697, 
##     687, 690, 686, 707, 705, 724, 708, 701, 692, 682, 693, 701, 
##     693, 688, 684, 692, 690, 687, 685, 693, 692, 681, 684, 692, 
##     686, 685, 692, 690, 693, 687, 687, 683, 681, 690, 691, 687, 
##     689, 689, 684, 682, 697, 691, 688, 693, 685, 693, 690, 695, 
##     688, 690, 696, 691, 695, 696, 691, 696, 692, 695, 699, 697, 
##     691, 688, 694, 700, 694, 693, 695, 704, 694, 695, 693, 690, 
##     691, 699, 696, 696, 697, 689, 687, 682, 678, 694, 685, 685, 
##     694, 687, 691, 692, 697, 695, 697, 700, 689, 697, 695, 700, 
##     695, 697, 698, 694, 693, 696, 696, 699, 698, 694, 699, 699, 
##     709, 707, 698, 705, 701, 696, 701, 700, 697, 697, 695, 696, 
##     694, 694, 704, 687, 693, 701, 692, 704, 706, 693, 711, 693, 
##     695, 694, 708, 704, 704, 697, 696, 697, 699, 697, 696, 704, 
##     696, 697, 695, 700, 698, 695, 703, 697, 696, 697, 694, 693, 
##     703, 706, 707, 710, 705, 704, 707, 703, 699, 702, 707, 715, 
##     706, 702, 705, 704, 706, 709, 711, 708, 703, 718, 704, 704, 
##     718, 711, 714, 706, 704, 706, 703, 701, 695, 695, 700, 696, 
##     694, 699, 699, 701, 692, 700, 695, 704, 705, 702, 696, 696, 
##     703, 702, 699, 704, 697, 702, 696, 701, 696, 699, 698, 691, 
##     695, 693, 691, 703, 693, 697, 705, 692, 701, 700, 700, 700, 
##     705, 703, 695, 691, 636, 645, 645, 650, 663, 664, 667, 646, 
##     650, 654, 650, 658, 652, 670, 658, 669, 654, 663, 655, 667, 
##     664, 666, 665, 662, 657, 660, 653, 654, 653, 654, 654, 658, 
##     658, 653, 667, 664, 663, 669, 656, 648, 651, 651, 649, 667, 
##     665, 665, 659, 671, 657, 652, 640, 647, 631, 634, 641, 630, 
##     626, 623, 627, 622, 629, 636, 630, 630, 624, 626, 622, 623, 
##     619, 617, 617, 613, 625, 622, 621, 627, 628, 624, 626, 622, 
##     630, 631, 626, 619, 637, 640, 639, 644, 649, 646, 648, 649, 
##     645, 655, 642, 653, 468, 471, 470, 467, 467, 464, 465, 481, 
##     477, 475, 473, 467, 467, 468, 472, 472, 471, 471, 467, 479, 
##     481, 471, 469, 463, 467, 471, 470, 464, 471, 468, 472, 473, 
##     470, 462, 469, 473, 468, 464, 478, 467, 468, 469, 465, 468, 
##     464, 469, 468, 482, 465, 470, 465, 463, 466, 466, 463, 467, 
##     474, 470, 472, 472, 470, 467, 466, 474, 471, 470, 480, 467, 
##     468, 473, 470, 471, 479, 483, 473, 477, 478, 471, 480, 482, 
##     481, 476, 472, 489, 474, 482, 481, 477, 484, 480, 481, 482, 
##     488, 485, 482, 486, 480, 482, 488, 496, 484, 481, 486, 483, 
##     481, 487, 481, 477, 493, 479, 487, 473, 488, 477, 481, 474, 
##     485, 475, 476, 474, 477, 470, 463, 462, 463, 470, 468, 464, 
##     462, 472, 470, 472, 468, 475, 472, 464, 470, 474, 471, 471, 
##     470, 473, 468, 467, 465, 472, 474, 479, 479, 475, 469, 477, 
##     470, 471, 472, 479, 486, 471, 480, 469, 471, 470, 481, 463, 
##     465, 479, 471, 469, 473, 464, 469, 478, 464, 469, 464, 476, 
##     466, 476, 469, 473, 468, 467, 468, 467, 459, 470, 467, 471, 
##     467, 475, 470, 472, 471, 477, 469, 479, 471, 476, 487, 484, 
##     488, 480, 485, 480, 479, 492, 488, 478, 484, 486, 489, 489, 
##     481, 486, 480, 488, 489, 482, 484, 490, 486, 482, 484, 488, 
##     485, 483, 507, 509, 511, 514, 534, 545, 545, 551, 532, 530, 
##     519, 500, 454, 407, 398, 335, 299, 249, 232, 216, 215, 199, 
##     194, 199, 216, 211, 213, 223, 223, 226, 228, 229, 232, 224, 
##     231, 239, 269, 271, 285, 300, 375, 420, 428, 452, 466, 474, 
##     480, 498, 520, 542, 548, 565, 588, 596, 578, 572, 565, 553, 
##     539, 534, 529, 529, 524, 519, 514, 500, 501, 491, 484, 474, 
##     479, 468, 462, 470, 462, 459, 461, 460, 469, 541, 571, 572, 
##     579, 575, 569, 565, 561, 554, 525, 510, 497, 484, 458, 319, 
##     286, 228, 219, 199, 193, 197, 265, 271, 291, 301, 341, 373, 
##     429, 448, 501, 555, 603, 656, 661, 681, 701, 712, 731, 720, 
##     714, 702, 673, 657, 634, 619, 610, 604, 588, 572, 560, 537, 
##     526, 504, 504, 507, 565, 571, 595, 609, 591, 600, 602, 601, 
##     586, 527, 472, 450, 423, 405, 382, 267, 252, 230, 213, 230, 
##     234, 312, 322, 377, 411, 439, 519, 538, 571, 580, 648, 691, 
##     700, 726, 718, 674, 662, 625, 598, 576, 565, 562, 570, 572, 
##     544, 541, 525, 512, 505, 532, 574, 581, 692, 700, 753, 746, 
##     735, 713, 705, 662, 663, 640, 612, 566, 549, 476, 398, 380, 
##     342, 321, 291, 255, 219, 178, 162, 201, 209, 235, 283, 293, 
##     335, 447, 478, 566, 593, 658, 663, 640, 621, 416, 398, 367, 
##     292, 245, 224, 242, 263, 276, 289, 300, 343, 396, 564, 572, 
##     619, 643, 657, 686, 691, 670, 641, 621, 608, 610, 581, 563, 
##     528, 511, 509, 462, 454, 423, 413, 409, 403, 404, 413, 412, 
##     428, 446, 482, 494, 527, 553, 562, 609, 620, 643, 652, 621, 
##     602, 557, 533, 499, 490, 478, 454, 434, 413, 365, 279, 241, 
##     224, 219, 233, 249, 315, 314, 335, 375, 441, 492, 523, 539, 
##     565, 579, 605, 619, 635, 669, 716, 706, 706, 690, 685, 671, 
##     656, 635, 609, 601, 593, 571, 562, 542, 532, 539, 545, 543, 
##     538, 524, 497, 471, 478, 493, 555, 597, 628, 644, 666, 669, 
##     678, 692, 697, 700, 696, 682, 609, 575, 487, 465, 417, 278, 
##     262, 227, 232, 225, 241, 255, 287, 331, 357, 420, 428, 520, 
##     619, 660, 671, 674, 687, 678, 680, 670, 662, 664, 656, 627, 
##     603, 572, 539, 532, 518, 520, 512, 515, 503, 481, 468, 451, 
##     455, 447, 481, 491, 505, 563, 628, 645, 636, 624, 615, 622, 
##     602, 583, 560, 451, 425, 406, 374, 342, 301, 269, 269, 288, 
##     318, 321, 335, 384, 420, 456, 653, 656, 655, 648, 656, 643, 
##     651, 655, 650, 653, 656, 659, 656, 659, 648, 654, 650, 656, 
##     651, 648, 654, 645, 649, 642, 658, 646, 644, 653, 646, 640, 
##     646, 650, 648, 659, 662, 648, 659, 662, 647, 654, 657, 648, 
##     654, 656, 657, 648, 654, 659, 647, 649, 651, 658, 647, 655, 
##     654, 658, 651, 646, 659, 647, 642, 659, 652, 657, 655, 653, 
##     666, 664, 664, 654, 659, 657, 663, 655, 662, 672, 652, 654, 
##     657, 655, 656, 658, 657, 670, 662, 655, 663, 668, 660, 664, 
##     661, 658, 661, 657, 660, 658, 667, 654, 653, 667, 657, 651, 
##     654, 654, 656, 655, 655, 659, 652, 659, 655, 661, 661, 660, 
##     656, 668, 674, 661, 663, 674, 659, 663, 659, 655, 654, 670, 
##     654, 663, 657, 662, 659, 664, 659, 661, 662, 673, 657, 662, 
##     682, 671, 664, 666, 674, 663, 667, 655, 660, 663, 670, 665, 
##     660, 666, 677, 663, 671, 661, 665, 664, 663, 661, 664, 669, 
##     665, 670, 664, 664, 668, 669, 662, 662, 660, 662, 670, 660, 
##     665, 659, 657, 659, 667, 661, 667, 660, 676, 679, 663, 681, 
##     667, 674, 665, 664, 661, 675, 672, 660, 661, 653, 661, 668, 
##     663, 653, 663, 656, 657, 652, 656, 660, 657, 652, 649, 655, 
##     645, 648, 654, 666, 664, 668, 674, 682, 697, 687, 682, 677, 
##     672, 677, 679, 672, 673, 669, 671, 663, 659, 667, 665, 662, 
##     671, 669, 664, 670, 656, 663, 652, 658, 657, 662, 659, 659, 
##     661, 661, 659, 661, 669, 665, 665, 664, 659, 658, 655, 636, 
##     625, 625, 617, 621, 629, 628, 647, 629, 628, 632, 634, 630, 
##     631, 638, 632, 638, 630, 629, 629, 627, 625, 631, 628, 619, 
##     626, 619, 625, 633, 631, 624, 623, 619, 613, 628, 624, 622, 
##     623, 624, 623, 619, 625, 629, 616, 623, 626, 613, 625, 627, 
##     630, 624, 635, 631, 634, 628, 623, 626, 627, 620, 627, 623, 
##     623, 640, 625, 628, 624, 622, 623, 628, 611, 613, 625, 642, 
##     668, 679, 708, 719, 751, 770, 784, 811, 833, 843, 843, 805, 
##     744, 722, 705, 678, 631, 592, 534, 510, 487, 457, 420, 391, 
##     380, 485, 516, 567, 662, 670, 700, 720, 774, 769, 785, 795, 
##     812, 819, 823, 816, 822, 821, 833, 823, 808, 780, 767, 747, 
##     721, 691, 678, 699, 720, 728, 746, 779, 823, 858, 871, 866, 
##     861, 865, 737, 698, 628, 614, 558, 538, 521, 485, 475, 391, 
##     408, 414, 428, 451, 479, 486, 570, 648, 670, 701, 767, 830, 
##     832, 858, 868, 864, 873, 886, 850, 787, 781, 761, 754, 752, 
##     761, 766, 776, 794, 829, 861, 879, 875, 863, 849, 791, 763, 
##     708, 629, 605, 526, 501, 401, 345, 362, 496, 511, 551, 589, 
##     628, 674, 701, 822, 824, 822, 864, 878, 885, 898, 887, 892, 
##     853, 826, 768, 749, 739, 723, 723, 723, 732, 754, 822, 828, 
##     872, 874, 880, 881, 872, 798, 747, 631, 593, 505, 432, 381, 
##     366, 362, 359, 368, 366, 376, 410, 437, 463, 488, 505, 536, 
##     581, 632, 648, 679, 742, 742, 758, 769, 815, 811, 823, 820, 
##     813, 781, 780, 708, 709, 714, 717, 729, 800, 841, 895, 889, 
##     893, 889, 861, 773, 645, 483, 447, 406, 347, 288, 306, 342, 
##     359, 376, 402, 480, 541, 569, 687, 759, 764, 791, 781, 787, 
##     799, 858, 856, 842, 830, 750, 704, 692, 723, 730, 732, 759, 
##     794, 806, 818, 854, 875, 886, 889, 880, 863, 813, 771, 693, 
##     650, 602, 573, 524, 478, 400, 380, 384, 392, 413, 442, 515, 
##     523, 561, 603, 745, 759, 800, 819, 850, 853, 840, 854, 878, 
##     856, 844, 826, 805, 741, 699, 673, 663, 672, 675, 715, 726, 
##     749, 758, 770, 796, 809, 852, 884, 901, 897, 885, 880, 860, 
##     838, 830, 800, 780, 757, 724, 654, 610, 580, 489, 444, 451, 
##     459, 481, 505, 696, 715, 821, 846, 889, 905, 901, 904, 845, 
##     833, 819, 800, 737, 722, 710, 715, 720, 724, 727, 734, 758, 
##     833, 855, 859, 887, 894, 898, 891, 877, 862, 761, 726, 725, 
##     640, 616, 503, 493, 471, 443, 429, 431, 442, 509, 586, 617, 
##     624, 667, 791, 880, 892, 883, 879, 864, 862, 868, 860, 825, 
##     806, 799, 788, 777, 754, 738, 721, 733, 745, 767, 781, 810, 
##     866, 879, 915, 933, 932, 931, 874, 863, 841, 650, 618, 584, 
##     537, 430, 408, 370, 349, 406, 422, 498, 611, 637, 776, 815, 
##     894, 952, 961, 968, 972, 970, 929, 916, 892, 884, 885, 841, 
##     832, 805, 758, 743, 728, 734, 746, 794, 793, 898, 910, 763, 
##     638, 624, 524, 471, 369, 374, 385, 399, 412, 424, 431, 547, 
##     636, 767, 815, 869, 942, 968, 977, 975, 953, -292, -282, 
##     -279, -347, -347, -344, -362, -367, -367, -368, -372, -371, 
##     -373, -369, -363, -362, -366, -364, -363, -353, -362, -372, 
##     -371, -365, -373, -368, -367, -368, -375, -366, -361, -358, 
##     -362, -366, -363, -366, -359, -364, -365, -373, -360, -363, 
##     -365, -364, -369, -370, -357, -366, -359, -356, -367, -366, 
##     -357, -367, 631, 639, 646, 675, 694, 701, 708, 704, 671, 
##     668, 648, 634, 626, 554, 541, 708, 703, 681, 680, 654, 617, 
##     608, 597, 600, 594, 582, 580, 584, 579, 574, 562, 560, 565, 
##     569, 575, 595, 589, 613, 497, 482, 467, 453, 451, 455, 448, 
##     450, 481, 488, 499, 509, 592, 665, 679, 706, 738, 780, 787, 
##     792, 390, 397, 399, 400, 400, 394, 403, 416, 437, 453, 451, 
##     494, 495, 527, 555, 591, 604, 611, 615, 616, 648, 428, 423, 
##     420, 404, 390, 363, 348, 338, 331, 326, 310, 307, 294, 290, 
##     289, 296, 301, 321, 320, 319, 373, 462, 447, 446, 456, 457, 
##     460, 458, 462, 462, 458, 465, 458, 458, 456, 461, 461, 453, 
##     463, 455, 476, 482, 497, 488, 496, 506, 499, 503, 492, 487, 
##     471, 477, 488, 511, 517, 522, 530, 528, 511, 511, 488, 469, 
##     459, 450, 448, 456, 465, 423, 428, 428, 426, 417, 425, 437, 
##     435, 440, 437, 450, 465, 444, 440, 442, 439, 450, 440, 447, 
##     447, 450, 446, 434, 453, 444, 445, 447, 451, 444, 458, 452, 
##     447, 458, 455, 456, 453, 455, 462, 448, 455, 455, 461, 448, 
##     453, 453, 445, 451, 459, 454, 448, 460, 451, 451, 444, 448, 
##     434, 429, 430, 435, 430, 428, 429, 433, 449, 450, 473, 467, 
##     458, 462, 456, 453, 464, 458, 453, 464, 460, 459, 465, 456, 
##     431, 430, 421, 427, 436, 441, 442, 440, 442, 440, 436, 440, 
##     444, 440, 446, 440, 442, 435, 438, 432, 437, 435, 428, 432, 
##     419, 418, 422, 418, 415, 430, 416, 420, 423, 423, 414, 410, 
##     413, 421, 419, 415, 420, 435, 425, 431, 433, 438, 448, 445, 
##     453, 444, 447, 442, 454, 452, 450, 451, 450, 449, 440, 421, 
##     431, 428, 428, 428, 422, 431, 424, 413, 413, 411, 405, 400, 
##     393, 390, 392, 401, 425, 426, 444, 452, 439, 432, 441, 445, 
##     432, 427, 434, 449, 454, 451, 458, 451, 453, 455, 454, 460, 
##     454, 457, 461, 456, 453, 461, 458, 454, 455, 450, 456, 590, 
##     589, 594, 591, 587, 589, 599, 655, 681, 669, 663, 633, 629, 
##     607, 587, 577, 575, 541, 533, 522, 518, 541, 551, 564, 556, 
##     547, 536, 528, 534, 553, 550, 551, 541, 538, 528, 541, 559, 
##     543, 548, 543, 550, 540, 531, 548, 550, 555, 556, 543, 551, 
##     552, 554, 546, 551, 559, 564, 562, 561, 564, 562, 567, 565, 
##     554, 557, 555, 554, 558, 562, 571, 573, 565, 563, 545, 544, 
##     539, 521, 515, 513, 503, 494, 504, 499, 500, 479, 476, 464, 
##     474, 483, 494, 491, 494, 497, 494, 513, 507, 614, 599, 599, 
##     595, 583, 530, 527, 514, 508, 519, 525, 522, 513, 508, 491, 
##     488, 476, 494, 505, 511, 515, 529, 489, 461, 488, 493, 487, 
##     492, 496, 490, 484, 498, 489, 493, 498, 499, 496, 506, 502, 
##     503, 505, 495, 498, 494, 496, 499, 503, 502, 509, 515, 516, 
##     508, 506, 501, 516, 534, 561, 582, 581, 586, 596, 591, 556, 
##     547, 505, 480, 443, 427, 413, 396, 365, 266, 250, 194, 184, 
##     198, 232, 248, 253, 282, 295, 312, 353, 359, 418, 454, 485, 
##     509, 533, 536, 590, 591, 599, 616, 630, 643, 607, 591, 568, 
##     534, 524, 515, 510, 491, 518, 538, 629, 692, 706, 696, 680, 
##     650, 639, 636, 644, 660, 645, 623, 602, 559, 528, 422, 359, 
##     344, 302, 242, 234, 241, 259, 267, 291, 307, 314, 320, 353, 
##     373, 408, 448, 492, 520, 572, 624, 660, 685, 773, 750, 742, 
##     748, 744, 748, 716, 711, 605, 586, 584, 584, 570, 568, 560, 
##     541, 482, 408, 292, 293, 287, 299, 301, 310, 321, 347, 400, 
##     419, 486, 509, 523, 597, 610, 636, 683, 757, 767, 760, 740, 
##     731, 725, 709, 703, 643, 622, 677, 679, 657, 642, 583, 575, 
##     576, 521, 490, 442, 351, 333, 293, 284, 261, 242, 218, 212, 
##     206, 240, 268, 392, 393, 452, 470, 500, 511, 539, 557, 581, 
##     603, 616, 669, 689, 684, 718, 713, 712, 701, 693, 699, 693, 
##     673, 601, 571, 569, 501, 484, 477, 479, 484, 495, 512, 515, 
##     551, 576, 611, 656, 694, 745, 822, 818, 810, 797, 773, 766, 
##     747, 719, 707, 665, 587, 541, 373, 358, 328, 250, 236, 245, 
##     240, 340, 401, 416, 433, 462, 496, 510, 573, 597, 701, 746, 
##     757, 754, 758, 749, 714, 702, 624, 627, 606, 588, 552, 545, 
##     510, 533, 539, 545, 542, 544, 551, 550, 573, 575, 578, 583, 
##     684, 751, 757, 749, 748, 731, 705, 691, 668, 667, 654, 652, 
##     593, 517, 513, 502, 479, 434, 415, 395, 326, 316, 222, 230, 
##     230, 230, 244, 268, 281, 294, 319, 382, 508, 569, 635, 677, 
##     686, 700, 705, 694, 693, 695, 687, 690, 700, 687, 679, 677, 
##     645, 579, 567, 547, 545, 529, 523, 510, 503, 497, 493, 481, 
##     438, 442, 455, 468, 481, 474, 482, 518, 577, 680, 715, 716, 
##     720, 703, 715, 715, 732, 735, 726, 720, 646, 612, 570, 542, 
##     509, 481, 465, 452, 433, 414, 352, 339, 307, 295, 255, 237, 
##     211, 194, 182, 188, 183, 191, 206, 222, 237, 289, 303, 329, 
##     401, 418, 443, 542, 577, 617, 646, 661, 682, 677, 696, 698, 
##     701, 654, 611, 512, 548, 605, 656, 561, 555, 555, 562, 552, 
##     541, 525, 499, 489, 471, 442, 440, 388, 362, 316, 312, 228, 
##     200, 178, 159, 153, 125, 113, 116, 129, 143, 156, 174, 192, 
##     244, 263, 301, 322, 394, 444, 472, 516, 547, 581, 595, 625, 
##     630, 685, 696, 762, 760, 736, 614, 675, 684, 689, 702, 730, 
##     746, 756, 794, 776, 774, 768, 774, 774, 759, 749, 742, 732, 
##     724, 712, 708, 698, 686, 665, 662, 636, 619, 605, 609, 606, 
##     602, 599, 602, 608, 602, 612, 626, 624, 625, 661, 663, 665, 
##     669, 666, 653, 647, 638, 635, 639, 632, 605, 589, 575, 553, 
##     539, 530, 519, 497, 491, 440, 433, 416, 395, 388, 397, 402, 
##     401, 406, 417, 406, 407, 409, 407, 410, 412, 415, 429, 440, 
##     483, 497, 503, 527, 545, 590, 618, 625, 645, 668, 691, 715, 
##     735, 746, 763, 822, 817, 829, 820, 810, 816, 817, 812, 819, 
##     804, 785, 582, 588, 589, 583, 562, 555, 540, 548, 540, 527, 
##     493, 471, 454, 461, 458, 479, 487, 487, 477, 486, 497, 581, 
##     557, 545, 542, 535, 519, 521, 531, 522, 521, 530, 523, 521, 
##     517, 534, 560, 570, 586, 605, 622, 638, 631, 620, 635, 633, 
##     638, 657, 654, 656, 661, 439, 433, 447, 438, 448, 465, 456, 
##     462, 469, 469, 465, 477, 483, 504, 518, 509, 492, 496, 492, 
##     495, 489, 489, 485, 509, 519, 519, 525, 537, 534, 539, 550, 
##     537, 532, 538, 545, 550, 561, 591, 608, 607, 615, 611, 611, 
##     612, 461, 456, 458, 462, 467, 479, 504, 511, 504, 501, 535, 
##     549, 552, 566, 566, 575, 592, 452, 452, 454, 447, 454, 453, 
##     452, 452, 451, 454, 453, 454, 450, 454, 455, 442, 450, 454, 
##     673, 681, 683, 673, 675, 674, 673, 674, 680, 675, 665, 669, 
##     666, 676, 671, 687, 674, 671, 676, 671, 670, 668, 674, 682, 
##     690, 694, 698, 694, 691, 694, 699, 678, 672, 652, 656, 672, 
##     670, 659, 659, 671, 659, 671, 664, 652, 652, 650, 653, 662, 
##     647, 649, 647, 644, 41, -2, -28, -58, -109, -141, -326, -395, 
##     -427, -492, -577, -557, -527, -512, -61, -20, -2, 24, 29, 
##     38, 24, -12, -14, -39, -41, -34, -33, -22, -14, -2, 10, 20, 
##     35, 28, 11, 14, -17, -43, -67, -636, -634, -643, -645, -631, 
##     -626, -624, -621, -606, -604, -603, -593, -605, -607, -611, 
##     -602, -588, -592, -447, -421, -136, -89, -327, -420, -428, 
##     -447, -461, -507, -518, -538, -540, -542, -519, -509, -508, 
##     -507, -524, -523, -537, -551, -544, -562, -563, -562, -566, 
##     -560, -561, -561, -568, 112, 108, 86, 81, 69, 1, 5, -33, 
##     -72, -100, -112, -160, -186, -228, -244, -267, -272, -291, 
##     -294, -357, -390, -504, -523, -518, -515, -390, -390, -375, 
##     -388, -385, -388, -392, -387, -380, -383, -381, -385, -387, 
##     -387, -380, -383, -382, -391, -387, -393, -380, -383, -383, 
##     -385, -381, -388, -350, -360, -393, -390, -394, -383, -347, 
##     -0.0917, -347, -344, -349, -348, -384, -380, -390, -389, 
##     -389, -381, -374, -364, -355, -356, -345, -343, -294, -298, 
##     -294, -292, -302, -303, -296, -308, -316, -316, -308, -309, 
##     -313, -316, -327, -325, -345, -348, -351, -344, -335, -338, 
##     -333, -347, -324, -325, -323, -317, -308, -313, -311, -303, 
##     -310, -304, -304, -303, -298, -299, -293, -297, -296, -302, 
##     -308, -305, -286, -306, -297, -293, 661, 658, 669, 678, 681, 
##     697, 697, 693, 668, 649, 639, 644, 633, 633, 634, 637, 633, 
##     642, 650, 637, 631, 632, 622, 610, 588, 541, 175, 330, 442, 
##     537, 587, 599, 627, 641, 671, 676, 685, 706, 717, 694, 676, 
##     683, 185, 399, 414, 520, 546, 625, 653, 708, 735, 737, 754, 
##     743, 734, 730, 734, 736, 729, 732, 725, 711, 466, 444, 391, 
##     316, 267, 229, 158, 127, 174, 232, 290, 376, 472, 505, 584, 
##     672, 691, 721, 735, 583, 583, 579, 580, 585, 591, 602, 593, 
##     599, 596, 604, 613, 611, 619, 632, 640, 633, 646, 644, 636, 
##     639, 645, 648, 655, 650, 630, 626, 623, 533, 635, 634, 566, 
##     524, 487, 493, 503, 510, 504, 484, 454, 449, 485, 494, 521, 
##     540, 561, 585, 620, 629, 644, 641, 649, 656, 627, 613, 577, 
##     539, 510, 495, 495, 471, 454, 690, 676, 672, 679, 690, 685, 
##     672, 676, 694, 735, 718, 713, 704, 695, 689, 684, 630, 619, 
##     538, 512, 418, 394, 356, 272, 252, 251, 262, 371, 409, 441, 
##     509, 560, 668, 724, 761, 833, 833, 830, 809, 793, 795, 807, 
##     810, 816, 763, 743, 735, 731, 735, 737, 728, 727, 724, 713, 
##     712, 705, 700, 699, 701, 705, 710, 713, 706, 647, 638, 627, 
##     614, 570, 497, 423, 387, 353, 329, 200, 209, 210, 250, 291, 
##     320, 342, 392, 531, 559, 677, 670, 666, 676, 681, 686, 692, 
##     695, 699, 695, 701, 702, 709, 716, 711, 715, 715, 720, 719, 
##     717, 714, 722, 716, 717, 720, 722, 722, 730, 725, 717, 724, 
##     732, 724, 719, 725, 727, 733, 749, 735, 733, 746, 738, 748, 
##     722, 678, 675, 642, 580, 470, 367, 348, 287, 176, 145, 103, 
##     41, -13, -13, 16, 159, 197, 229, 607, 748, 871, 980, 983, 
##     968, 957, 888, 861, 852, 809, 763, 751, 736, 712, 696, 686, 
##     680, 667, 686, 691, 687, 701, 712, 757, 761, 754, 690, 663, 
##     621, 539, 454, 411, 364, 35, 24, 34, 57, 71, 102, 203, 214, 
##     272, 362, 434, 487, 596, 656, 685, 757, 792, 822, 843, 871, 
##     886, 932, 927, 923, 895, 822, 824, 778, 755, 733, 693, 678, 
##     670, 685, 680, 682, 690, 708, 716, 753, 732, 719, 650, 618, 
##     587, 540, 511, 366, 341, 291, 97, 81, -18, -28, -47, -59, 
##     -35, -24, 3, 52, 74, 93, 195, 262, 308, 660, 718, 731, 747, 
##     771, 800, 849, 856, 565, 533, 418, 314, 223, 166, 95, 63, 
##     35, 53, 56, 88, 161, 321, 402, 551, 619, 823, 869, 908, 929, 
##     944, 947, 864, 812, 793, 785, 767, 639, 639, 662, 685, 702, 
##     697, 695, 705, 721, 748, 751, 727, 698, 685, 662, 645, 613, 
##     579, 527, 487, 398, 340, 98, 71, 30, 10, -31, -57, -38, -38, 
##     -11, 22, 81, 173, 241, 476, 626, 731, 916, 936, 1010, 1040, 
##     1020, 929, 911, 853, 721, 693, 673, 677, 668, 672, 688, 683, 
##     690, 691, 692, 700, 820, 809, 782, 763, 726, 694, 610, 558, 
##     420, 327, 223, -17, 16, 114, 715, 774, 808, 823, 834, 842, 
##     804, 786, 748, 712, 635, 534, 343, 255, 166, 115, -34, -49, 
##     -16, 17, 139, 182, 216, 366, 396, 464, 536, 571, 835, 888, 
##     899, 901, 906, 889, 872, 852, 805, 797, 806, 797, 791, 793, 
##     737, 726, 687, 640, 639, 624, 616, 615, 609, 612, 684, 705, 
##     754, 757, 767, 755, 733, 701, 610, 569, 504, 402, 295, 221, 
##     146, 117, -43, -46, -13, -9, 16, 61, 92, 166, 268, 436, 576, 
##     778, 812, 856, 900, 912, 930, 930, 933, 923, 899, 493, -474, 
##     -511, -529, -528, -527, -509, -514, -496, -496, -509, -502, 
##     -491, -498, -501, -507, -535, -557, -547, -558, -564, -563, 
##     -566, -565, -571, -562, -565, -568, -569, -564, -561, -548, 
##     -543, -525, -496, -456, -446, -400, -378, -342, -287, -241, 
##     -9, 30, 51, 51, 53, 42, 23, -22, -27, -39, -54, -48, -71, 
##     -100, -131, -144, -183, -198, -199, -165, -120, -105, -95, 
##     -36, -22, -5, -36, -57, -90, -96, -146, -178, -222, -245, 
##     -258, -283, -302, -362, -425, -485, -498, -562, -584, -611, 
##     -613, -623, -591, -589, -570, -560, -548, -557, -554, -558, 
##     -567, -559, -554, -534, -525, -499, -463, -394, -352, -286, 
##     -236, -146, 9, 55, 72, 83, 83, 70, 55, 66, 47, 8, -5, -16, 
##     -36, -37, -54, -64, -417, -499, -522, -542, -545, -545, -544, 
##     -543, -546, -559, -554, -554, -568, -566, -563, -553, -547, 
##     -541, -542, -550, -562, -503, -471, -409, -365, -345, -294, 
##     -273, -219, -183, -133, -105, -85, -44, -36, -6, 2, 6, -4, 
##     -22, -20, -39, -47, -69, -71, -89, -89, -112, -142, -153, 
##     -156, -106, -70, -24, 7, 29, 64, 80, 74, 78, 57, 28, 20, 
##     -2, -87, -108, -213, -399, -411, -399, -412, -418, -440, 
##     -455, -472, -498, -560, -578, -579, -571, -563, -553, -550, 
##     -545, -544, -558, 5, -4, -3, -23, -27, -24, -60, -72, -85, 
##     -131, -155, -109, -66, -31, 3, 26, 35, 53, 85, 97, 82, 70, 
##     -6, -141, -183, -222, -272, -306, -337, -349, -371, -422, 
##     -484, -510, -513, -518, -526, -523, -515, -494, -496, -507, 
##     -514, -534, -539, -540, -527, -530, -527, -533, -533, -465, 
##     -414, -389, -155, -126, -99, -50, -41, -4, 1, 24, 53, 58, 
##     81, 88, 62, 60, 69, 39, 4, -22, -64, -74, -24, 71, 95, 114, 
##     118, 114, 110, 84, 22, -71, -100, -230, -312, -342, -340, 
##     -356, -373, -375, -433, -446, -474, -566, -561, -563, -549, 
##     -526, -498, -503, -503, -496, -503, -506, -488, -509, -518, 
##     -484, -466, -298, -108, -102, -30, 68, 69, 100, 99, 85, 80, 
##     94, 91, 77, 56, 28, -26, -28, 28, 65, 80, 93, 112, 125, 154, 
##     152, 159, 159, 153, 144, 129, 112, 27, -79, -121, -144, -198, 
##     -260, -300, -347, -445, -458, -496, -543, -570, -572, -556, 
##     -536, -523, -521, -523, -520, -514, -544, 118, 147, 159, 
##     167, 166, 159, 141, 142, 111, 113, 53, 14, -20, -42, -82, 
##     -160, -240, -336, -389, -438, -493, -552, -563, -549, -533, 
##     -524, -505, -503, -500, -511, -515, -515, -518, -515, -524, 
##     -532, -475, -446, -425, -392, -338, -273, -259, 17, 64, 87, 
##     91, 77, 74, 49, 39, 33, 21, -6, -5, -16, -60, -64, -70, -45, 
##     -41, -17, -4, 60, 91, 84, 32, 13, -5, -42, -102, -118, -169, 
##     -252, -320, -347, 503, 545, 614, 651, 675, 686, 667, 660, 
##     637, 614, 608, 595, 575, 544, 537, 519, 450, 441, 432, 429, 
##     441, 455, 498, 525, 527, 538, 528, 520, 530, 531, 578, 590, 
##     560, 546, 519, 508, 500, 501, 459, 434, 431, 359, 286, 256, 
##     221, 221, 221, 248, 262, 284, 337, 495, 592, 611, 640, 656, 
##     661, 628, 620, 578, 572, 528, 532, 545, 537, 533, 512, 512, 
##     458, 437, 420, 408, 366, 362, 375, 376, 427, 451, 490, 510, 
##     508, 503, 527, 541, 583, 584, 582, 492, 447, 421, 413, 408, 
##     264, 260, 247, 268, 282, 290, 302, 318, 327, 327, 378, 400, 
##     442, 489, 572, 615, 632, 656, 675, 674, 640, 593, 455, 453, 
##     449, 448, 448, 457, 447, 449, 454, 449, 450, 455, 454, 466, 
##     456, 456, 449, 454, 461, 459, 464, 462, 457, 459, 460, 463, 
##     458, 456, 459, 463, 466, 461, 467, 467, 472, 463, 460, 469, 
##     459, 471, 460, 454, 464, 466, 452, 480, 485, 46, 84, 109, 
##     175, 251, 354, 479, 502, 563, 599, 613, 637, 684, 713, 733, 
##     743, 738, 719, 709, 673, 656, 623, 597, 490, 445, 439, 432, 
##     416, 402, 401, 402, 427, 438, 463, 506, 509, 503, 519, 524, 
##     527, 434, 409, 319, 275, 167, 111, 21, -59, -108, -151, -164, 
##     -129, -68, -43, -52, -37, -2, 16, 170, 335, 485, 639, 670, 
##     711, 732, 735, 755, 760, 759, 659, 613, 537, 513, 484, 463, 
##     459, 447, 442, 436, 436, 435, 453, 477, 483, 536, 539, 541, 
##     551, 532, 516, 498, 471, 393, 305, 280, 251, 238, 192, 730, 
##     616, 593, 582, 562, 563, 518, 507, 480, 465, 466, 466, 477, 
##     488, 501, 516, 536, 544, 546, 520, 503, 493, 503, 477, 456, 
##     376, 317, 228, 208, 58, 14, -41, -49, -89, -286, -297, -304, 
##     -290, -247, -224, -159, -136, -123, -68, -44, -14, 42, 101, 
##     182, 275, 517, 507, 507, 517, 499, 495, 430, 375, 152, 122, 
##     70, 18, 7, -74, -124, -46, -23, 4, 16, 206, 366, 421, 515, 
##     558, 621, 720, 764, 762, 759, 751, 747, 731, 709, 677, 628, 
##     590, 573, 557, 538, 498, 502, 503, 520, 553, 560, 508, 460, 
##     391, 371, 211, 142, 121, 52, 12, -42, -133, -156, -184, 587, 
##     578, 550, 528, 534, 529, 557, 553, 579, 601, 607, 635, 648, 
##     612, 603, 545, 527, 501, 494, 462, 422, 395, 300, 246, 225, 
##     174, 127, 65, 719, 714, 707, 711, 705, 702, 688, 684, 685, 
##     661, 658, 605, 601, 601, 589, 611, 616, 625, 632, 650, 644, 
##     643, 631, 496, 440, 390, 353, 334, 191, 145, 71, 27, -67, 
##     -82, -111, -161, -190, -195, -204, -214, -206, -204, -194, 
##     -151, -133, -100, 108, 186, 291, 420, 443, 483, 521, 544, 
##     567, 609, 690, 693, 698, 695, 680, 621, 604, 506, 496, 469, 
##     421, 421, 415, 417, 437, 453, 456, 471, 469, 458, 437, 444, 
##     397, 890, 875, 871, 877, 864, 859, 829, 751, 734, 722, 724, 
##     730, 742, 752, 754, 766, 782, 794, 804, 810, 806, 809, 810, 
##     806, 813, 811, 818, 821, 816, 812, 814, 810, 814, 811, 815, 
##     812, 812, 807, 813, 792, 786, 783, 784, 797, 809, 842, 868, 
##     737, 585, 553, 482, 205, 134, 98, 54, -26, -44, -25, -31, 
##     -33, 30, 82, 140, 466, 757, 941, 1000, 1040, 1050, 1020, 
##     870, 835, 820, 766, 722, 698, 714, 725, 806, 851, 872, 885, 
##     905, 923, 887, 831, 658, 390, 210, 95, 79, -11, -16, -20, 
##     -8, 9, 18, 47, 109, 155, 387, 976, 972, 981, 908, 815, 559, 
##     275, 189, 24, -6, -7, 0, 8, 8, 16, 47, 124, 260, 290, 527, 
##     709, 758, 853, 911, 1020, 1050, 1020, 921, 816, 791, 763, 
##     775, 769, 849, 922, 919, 926, 926, 923, 913, 899, 551, 446, 
##     311, 154, 107, 84, 72, 42, 18, -10, -7, 5, 17, 62, 125, 182, 
##     223, 294, 390, 636, 763, 839, 938, 972, 1030, 1020, 1010, 
##     967, 934, 822, 809, 800, 793, 841, 933, 963, 955, 915, 891, 
##     836, 807, 533, 444, 137, 9, -55, -45, -5, 2, 35, 204, 295, 
##     411, 666, 786, 845, 873, 933, 964, 1020, 990, 939, 885, 853, 
##     835, 762, 739, 780, 794, 835, 847, 897, 866, 843, 808, 787, 
##     765, 763, 785, 807, 861, 897, 955, 942, 762, 715, 487, 60, 
##     -53, -105, -87, -77, 18, 151, 231, 503, 551, 653, 812, 1010, 
##     1090, 1050, 993, 894, 792, 748, 747, 746, 774, 779, 794, 
##     821, 857, 701, 573, 425, 302, 272, 204, 150, -100, -71, -41, 
##     10, 68, 134, 167, 243, 379, 465, 552, 597, 678, 887, 902, 
##     977, 975, 939, 837, 801, 767, 755, 716, 712, 690, 689, 711, 
##     741, 794, 851, 914, 920, 902, 862, 806, 708, 585, 485, 409, 
##     370, 285, 111, 83, -34, -92, -114, -108, -102, -81, -60, 
##     128, 160, 247, 357, 733, 847, 956, 987, 990, 939, 898, 854, 
##     767, 709, 687, 677, 676, 662, 836, 869, 919, 986, 1010, 1020, 
##     1010, 946, 913, 877, 782, 767, 757, 715, 697, 687, 700, 706, 
##     703, 717, 738, 750, 758, 755, 768, 764, 761, 730, 725, 723, 
##     471, 483, 493, 495, 501, 517, 518, 522, 532, 538, 552, 569, 
##     573, 594, 605, 625, 662, 781, 819, 642, 641, 645, 633, 644, 
##     646, 648, 647, 644, 633, 626, 632, 627, 628, 628, 630, 630, 
##     619, 621, 616, 612, 607, 606, 594, 595, 592, 601, 609, 590, 
##     590, 581, 583, 572, 565, 569, 562, 509, 499, 483, 473, 466, 
##     435, 429, 422, 424, 414, 419, 423, 441, 433, 433, 438, 445, 
##     451, 483, 525, 562, 599, 638, 651, 665, 668, 695, 668, 620, 
##     579, 467, 451, 389, 356, 296, 291, 222, 204, 135, 116, 119, 
##     115, 114, 120, 123, 120, 113, 122, 134, 134, 133, 139, 149, 
##     178, 295, 313, 351, 454, 608, 653, 694, 699, 736, 727, 728, 
##     772, 762, 755, 742, 735, 722, 707, 698, 687, 681, 671, 661, 
##     647, 629, 579, 567, 552, 553, 542, 542, 549, 561, 569, 565, 
##     229, 209, 194, 182, 176, 170, 155, 146, 142, 143, 161, 152, 
##     163, 169, 186, 189, 225, 247, 299, 354, 381, 437, 678, 702, 
##     742, 749, 787, 631, 629, 626, 633, 639, 661, 683, 700, 717, 
##     695, 697, 665, 602, 584, 558, 517, 507, 416, 389, 357, 324, 
##     294, 281, 213, 197, 179, 143, 128, 55, 53, 50, 64, 50, 62, 
##     52, 70, 79, 87, 106, 137, 182, 194, 237, 337, 391, 425, 773, 
##     796, 840, 884, 884, 880, 900, 896, 854, 816, 788, 747, 639, 
##     636, 624, 646, 660, 670, 663, 670, 659, 649, 633, 638, 622, 
##     614, 622, 626, 629, 633, 645, 682, 704, 719, 718, 730, 732, 
##     741, 737, 728, 689, 693, 670, 641, 609, 556, 542, 508, 101, 
##     283, 463, 490, 542, 638, 696, 780, 805, 821, 835, 846, 848, 
##     838, 835, 818, 807, 778, 765, 752, 755, 735, 710, 704, 693, 
##     681, 679, 679, 659, 646, 650, 656, 668, 679, 681, 698, 706, 
##     133, 87, 67, 54, 50, 38, 33, 29, 29, 15, 13, 6, 16, 19, 23, 
##     25, 38, 88, 121, 186, 210, 288, 386, 448, 551, 651, 702, 
##     799, 804, 820, 828, 830, 866, 861, 864, 846, 833, 817, 812, 
##     811, 800, 799, 798, 781, 774, 758, 759, 714, 721, 711, 696, 
##     695, 692, 693, 681, 697, 688, 702, 716, 739, 765, 771, 773, 
##     784, 788, 788, 791, 779, 781, 668, 619, 537, 416, 389, 342, 
##     320, 233, 160, 151, 136, 119, 107, 95, 83, 90, 78, 79, 80, 
##     92, 91, 89, 122, 144, 193, 283, 337, 423, 667, 794, 821, 
##     842, 853, 844, 835, 842, 844, 861, 857, 862, 850, 841, 822, 
##     800, 798, 807, 795, 799, 761, 761, 747, 741, 714, 692, 679, 
##     676, 671, 665, 662, 656, 657, 648, 642, 639, 643, 658, 666, 
##     676, 683, 694, 700, 707, 716, 733, 740, 740, 742, 737, 728, 
##     692, 681, 673, 647, 622, 571, 556, 499, 455, 390, 366, 345, 
##     312, 262, 258, 226, 216, 214, 201, 199, 181, 176, 148, 149, 
##     141, 136, 128, 132, 145, 225, 333, 513, 539, 772, 792, 822, 
##     841, 883, 872, 862, 864, 860, 841, 827, 811, 816, 796, 781, 
##     759, 754, 749, 726, 714, 702, 664, 658, 652, 645, 640, 640, 
##     628, 635, 711, 714, 736, 736, 747, 766, 760, 747, 749, 727, 
##     704, 693, 634, 592, 577, 513, 486, 461, 429, 361, 308, 286, 
##     257, 203, 194, 489, 451, 369, 340, 199, 183, 99, 35, 15, 
##     -26, -67, -84, -80, -78, -75, -48, 3, 56, 810, 822, 828, 
##     831, 828, 876, 874, 869, 857, 837, 809, 795, 793, 782, 774, 
##     782, 771, 758, 752, 738, 737, 718, 721, 704, 682, 681, 664, 
##     665, 661, 655, 647, 644, 614, 642, 688, 696, 703, 703, 681, 
##     647, 603, 570, 505, 476, 420, 408, 360, 278, 265, 825, 878, 
##     878, 888, 868, 873, 823, 814, 788, 773, 761, 742, 708, 674, 
##     674, 661, 656, 661, 649, 642, 644, 646, 637, 642, 382, 394, 
##     405, 448, 457, 473, 528, 563, 582, 591, 617, 618, 642, 731, 
##     763, 790, 830, 845, 867, 725, 724, 729, 727, 713, 702, 702, 
##     707, 695, 696, 703, 703, 699, 704, 702, 705, 712, 730, 725, 
##     733, 729, 733, 736, 731, 704, 699, 673, 673, 654, 708, 693, 
##     678, 551, 512, 516, 530, 546, 561, 604, 582, 582, 550, 528, 
##     531, 531, 547, 551, 556, 559, 560, 575, 164, 141, 126, 105, 
##     115, 110, 130, 163, 197, 207, 234, 249, 377, 399, 426, 445, 
##     505, 521, 577, 592, 648, 684, 701, 725, 736, 739, 753, 755, 
##     754, 762, 738, 721, 713, 691, 691, 677, 681, 684, 670, 661, 
##     591, 555, 548, 536, 545, 530, 571, 574, 580, 599, 603, 601, 
##     611, 623, 642, 715, 728, 753, 739, 704, 567, 555, 506, 504, 
##     512, 502, 489, 470, 458, 441, 421, 394, 382, 361, 348, 318, 
##     287, 273, 266, 253, 219, 186, 181, 152, 127, 119, 113, 109, 
##     108, 122, 127, 221, 246, 286, 296, 328, 351, 381, 403, 440, 
##     490, 501, 531, 567, 568, 588, 604, 616, 630, 639, 658, 665, 
##     668, 671, 663, 661, 720, 711, 695, 669, 641, 624, 610, 584, 
##     581, 567, 556, 543, 538, 540, 545, 532, 543, 533, 533, 533, 
##     537, 541, 544, 541, 539, 537, 540, 534, 541, 546, 567, 584, 
##     588, 642, 675, 669, 654, 650, 637, 617, 596, 582, 559, 548, 
##     506, 477, 453, 417, 372, 353, 311, 286, 282, -67, -35, 42, 
##     101, 117, 237, 356, 393, 423, 503, 524, 542, 584, 611, 602, 
##     628, 653, 650, 628, 611, 588, 576, 545, 527, 535, 231, 208, 
##     157, 147, 120, -79, -99, -150, -165, -181, -166, -140, -137, 
##     -126, -125, -74, -32, 17, 39, 57, 126, 194, 212, 284, 328, 
##     536, 582, 598, 611, 581, 580, 574, 580, 592, 624, 618, 612, 
##     601, 562, 552, 533, 538, 530, 530, 519, 501, 510, 496, 493, 
##     500, 496, 507, 511, 523, 515, 474, 471, 486, 528, 554, 546, 
##     534, 518, 473, 447, 376, 331, 305, 300, 262, 172, 159, 128, 
##     88, 50, 44, 41, -8, -21, -102, -86, -89, -59, -60, -50, -50, 
##     -50, -26, -24, 1, 103, 220, 344, 359, 423, 442, 479, 520, 
##     552, 623, 655, 675, 686, 638, 629, 629, 625, 629, 631, 648, 
##     643, 634, 606, 580, 572, 548, 492, 484, 489, 488, 497, 505, 
##     512, 531, 551, 584, 635, 643, 661, 669, 667, 667, 667, 692, 
##     686, 651, 566, 525, 453, 436, 398, 342, 274, 157, 135, 105, 
##     95, 68, 45, -4, -12, -30, -47, -65, -70, -79, -64, -63, -50, 
##     -27, -24, -8, 59, 71, 225, 258, 282, 301, 316, 342, 371, 
##     456, 520, 558, 618, 636, 635, 633, 646, 677, 678, 665, 648, 
##     643, 630, 618, 590, 613, 541, 516, 461, 416, 404, 322, 312, 
##     289, 257, 232, 219, 198, 152, 91, 80, 31, -60, -79, -84, 
##     -79, -84, -59, -47, -45, -8, 11, 21, 28, 63, 73, 112, 156, 
##     211, 282, 320, 340, 387, 514, 650, 671, 696, 694, 685, 678, 
##     689, 608, 579, 535, 540, 583, 596, 619, 610, 610, 601, 606, 
##     597, 589, 576, 562, 559, 551, 546, 542, 535, 539, 541, 641, 
##     675, 45, 35, 11, 13, -10, -14, -71, -135, -104, -85, -49, 
##     -46, -35, 0, 59, 114, 161, 178, 246, 368, 416, 438, 492, 
##     534, 551, 595, 655, 693, 716, 768, 745, 715, 684, 680, 660, 
##     642, 630, 621, 615, 618, 617, 588, 602, 587, 597, 593, 598, 
##     601, 604, 628, 630, 641, 656, 666, 715, 741, 763, 756, 763, 
##     758, 749, 751, 751, 687, 662, 635, 605, 457, 266, 231, 199, 
##     157, 131, 53, 28, -72, -98, -113, -116, -123, -89, -65, -8, 
##     -1, 31, 41, 59, 145, 184, 213, 287, 325, 369, 397, 423, 448, 
##     487, 552, 594, 615, 659, 642, 698, 761, 774, 773, 728, 718, 
##     724, 711, 707, 702, 679, 648, 631, 631, 622, 613, 613, 626, 
##     643, 641, 672, 703, 760, 762, 741, 725, 720, 710, 566, 476, 
##     343, 272, 250, 230, 144, 114, 95, -54, -62, -109, -127, -192, 
##     -195, -195, -189, -174, -167, -155, -148, -137, -108, -79, 
##     -52, -30, 106, 128, 186, 201, 297, 323, 359, 423, 753, 751, 
##     743, 730, 728, 648, 632, 624, 604, 592, 578, 552, 510, 499, 
##     485, 474, 435, 405, 395, 390, 380, 375, 375, 387, 382, 378, 
##     879, 869, 872, 855, 853, 841, 819, 791, 758, 725, 717, 708, 
##     704, 688, 676, 666, 644, 634, 619, 621, 597, 593, 588, 599, 
##     594, 598, 598, 599, 609, 615, 643, 649, 654, 676, 696, 703, 
##     710, 705, 696, 681, 657, 659, 654, 638, 599, 582, 551, 509, 
##     497, 499, 469, 450, 455, 443, 432, 429, 428, 426, 416, 410, 
##     419, 408, 416, 407, 401, 415, 405, 417, 434, 438, 445, 456, 
##     461, 462, 646, 662, 683, 708, 733, 698, 671, 648, 535, 465, 
##     435, 421, 337, 300, 271, 251, 227, 150, 114, 100, 62, 591, 
##     581, 566, 542, 543, 527, 541, 536, 537, 547, 551, 561, 577, 
##     593, 612, 616, 635, 629, 644, 652, 688, 724, 772, 793, 752, 
##     552, 538, 528, 553, 567, 608, 633, 665, 677, 669, 686, 667, 
##     656, 622, 574, 499, 413, 344, 303, 192, 178, 112, 106, 65, 
##     40, 35, 1, -73, -81, -124, -191, -190, -186, -164, -167, 
##     -169, -175, -177, -169, -175, -166, -107, 578, 574, 566, 
##     561, 591, 611, 595, 542, 520, 443, 452, 438, 433, 395, 366, 
##     321, 294, 254, 233, 199, 762, 773, 758, 745, 742, 742, 734, 
##     747, 736, 742, 741, 740, 736, 737, 740, 731, 737, 728, 731, 
##     731, 699, 717, 757, 811, 835, 900, 982, 994, 869, 807, 773, 
##     699, 609, 570, 499, 388, 216, 157, 98, 75, 29, -6, -10, -7, 
##     88, 115, 151, 316, 404, 707, 531, 415, 328, 255, 91, 71, 
##     -15, -37, -51, -41, -28, 5, 54, 72, 130, 231, 459, 536, 848, 
##     961, 983, 999, 996, 979, 985, 959, 934, 565, 605, 808, 890, 
##     1080, 1070, 1070, 1010, 980, 935, 903, 837, 813, 804, 793, 
##     798, 831, 851, 860, 910, 929, 953, 802, 803, 816, 803, 800, 
##     803, 800, 802, 802, 801, 800, 813, 816, 799, 794, 806, 801, 
##     811, 803, 796, 802, 808, 803, 810, 798, 807, 806, 788, 794, 
##     796, -433, -470, -496, -530, -560, -582, -560, -551, -551, 
##     -545, -544, -563, -561, -560, -557, -554, -559, -557, -558, 
##     -573, -563, -491, -388, -369, -319, -243, -543, -538, -444, 
##     -410, -382, -200, 7, 58, 103, 131, 147, 148, 154, 143, 124, 
##     121, 129, 136, 144, 161, 152, 116, 82, 81, 59, 76, 87, 105, 
##     -563, -559, -582, -575, -575, -577, -549, -518, -491, -456, 
##     -404, -379, -213, -190, -117, -96, -68, -45, -23, 0, 18, 
##     -80, -70, -50, -2, 44, 68, 99, 107, 103, 108, 111, 100, 85, 
##     63, 56, 9, -35, -82, -103, -140, -197, -235, -282, -307, 
##     -329, -343, -381, -560, -558, -555, -552, -557, -551, -544, 
##     -550, -551, -546, -558, -555, -546, -548, -548, -549, -550, 
##     -550, -550, -556, -544, -535, -547, -541, -552, -544, -534, 
##     -542, -533, -539, -548, -547, -551, -551, -563, -558, -558, 
##     -556, -558, -551, -560, 930, 996, 988, 977, 969, 966, 955, 
##     937, 926, 922, 894, 876, 839, 801, 767, 741, 704, 676, 677, 
##     673, 671, 690, 688, 694, 707, 719, 732, 786, 802, 821, 769, 
##     749, 737, 743, 724, 707, 697, 681, 700, 693, 696, 713, 713, 
##     715, 726, 727, 740, 667, 687, 723, 820, 852, 854, 849, 821, 
##     822, 739, 720, 724, 728, 726, 727, 721, 688, -10, 24, 389, 
##     352, 274, 134, 102, 83, 31, -20, -103, -150, -160, -142, 
##     -137, -123, -113, -96, -74, -62, 31, -30, -68, -128, -192, 
##     -237, -288, -296, -273, -257, -189, -170, -152, -127, -101, 
##     -87, -59, -13, 115, 175, 368, 515, 662, 698, 711, -167, -118, 
##     -81, -51, -29, 1, 111, 202, 287, 345, 436, 493, 550, 713, 
##     786, 791, 787, 783, 769, 748, 708, 645, 487, 521, 552, 575, 
##     616, 621, 667, 683, 699, 698, 694, 689, 674, 660, 634, 620, 
##     606, 524, 498, 479, 480, 505, 521, -42, -90, -111, -182, 
##     -192, -176, -149, -130, -130, -96, -63, 0, 84, 231, 293, 
##     364, 440, 458, 552, 593, 603, 623, 684, 710, -166, -151, 
##     -122, -113, -80, -61, 56, 123, 144, 218, 377, 463, 551, 562, 
##     647, 665, 697, 726, 743, 740, 731, 714, 546, 480, 442, 486, 
##     539, 543, 547, 549, 547, 513, 452, 412, 369, 355, 303, 219, 
##     120, 41, 4, -19, -74, -175, -187, -229, -256, -213, -192, 
##     -175, 494, 506, 530, 590, 592, 594, 559, 536, 504, 461, 432, 
##     400, 361, 310, 288, 172, 103, 63, 28, 26, -1, -36, -43, -74, 
##     -65, -48, 462, 462, 470, 465, 462, 443, 422, 412, 413, 412, 
##     408, 404, 402, 396, 424, 429, 431, 438, 437, 439, 449, 440, 
##     455, 450, 457, 884, 841, 834, 759, 747, 719, 721, 672, 660, 
##     651, 645, 632, 640, 649, 652, 656, 664, 683, 694, 699, 726, 
##     738, 787, 834, 863, 850, 773, 732, 665, 590, 565, 409, 272, 
##     163, -45, -65, -107, -100, -84, 13, 153, 398, 582, 753, 822, 
##     878, 895, 947, 944, 948, 944, 937, 919, 869, 829, 750, 692, 
##     656, 641, 626, 633, 632, 663, 673, 685, 695, 700, 720, 738, 
##     741, 758, 781, 695, 613, 587, 528, 475, 420, 254, 141, 37, 
##     -36, -120, -175, -172, -133, -87, -35, 24, 56, 125, 175, 
##     365, 437, 492, 581, 624, 663, 672, 702, 759, 770, 777, 783, 
##     781, 748, 724, 689, 664, 641, 606, 588, 565, 561, 561, 555, 
##     574, 595, 611, 637, 649, 682, 703, 700, 698, 727, 717, 709, 
##     706, 697, 710, 711, 548, 529, 537, 528, 520, 500, 481, 470, 
##     463, 464, 483, 500, 492, 502, 506, 511, 502, 513, 520, 526, 
##     543, 579, 586, 564, 579, 599, 594, 598, 605, 595, 588, 581, 
##     588, 581, 569, 508, 489, 471, 472, 483, 484, 483, 481, 477, 
##     487, 520, 540, 553, 623, 623, 613, 608, 579, 584, 579, 582, 
##     584, 596, 593, 604, 591, 593, 596, 596, 591, 586, 578, 570, 
##     562, 562, 553, 559, 571, 570, 568, 554, 559, 560, 601, 610, 
##     631, 640, 627, 633, 618, 603, 595, 598, 579, 528, 498, 491, 
##     498, 500, 514, 545, 543, 537, 534, 520, 529, 523, 523, 527, 
##     527, 547, 557, 566, 565, 549, 618, 643, 642, 651, 606, 604, 
##     609, 617, 623, 634, 642, 651, 672, 670, 670, 664, 643, 630, 
##     622, 611, 607, 589, 571, 565, 536, 525, 489, 494, 493, 499, 
##     508, 511, 535, 552, 568, 612, 642, 680, 692, 717, 723, 716, 
##     701, 680, 680, 686, 676, 669, 629, 618, 619, 631, 630, 648, 
##     635, 639, 644, 672, 648, 665, 672, 646, 647, 647, 631, 616, 
##     553, 477, 451, 465, 491, 498, 516, 574, 579, 599, 620, 623, 
##     632, 646, 631, 630, 627, 628, 636, 652, 639, 650, 617, 598, 
##     596, 601, 598, 612, 611, 621, 636, 644, 653, 648, 645, 627, 
##     597, 587, 572, 573, 559, 532, 487, 479, 481, 497, 491, 503, 
##     515, 524, 631, 641, 650, 649, 657, 666, 676, 721, 723, 685, 
##     686, 689, 686, 677, 678, 672, 671, 649, 646, 640, 644, 643, 
##     642, 638, 12, 112, 129, 131, 135, 117, 110, 117, 107, 41, 
##     24, 59, 80, 167, 182, 200, 186, 173, 174, 145, 138, 122, 
##     80, 45, -8, -40, -185, -261, -304, -336, -358, -390, -399, 
##     -471, -486, -499, -544, -560, -563, -556, -536, -549, -544, 
##     -542, -550, -545, -544, -540, -558, -576, -516, -316, -168, 
##     -60, -3, 16, 51, 77, 95, 106, 102, 102, 107, 111, 111, 116, 
##     135, 131, 129, 128, 104, 110, 109, 179, 172, 134, 130, 119, 
##     109, 86, 68, 52, 3, -11, -38, -55, -89, -185, -206, -378, 
##     -455, -500, -523, -536, -585, -598, -603, -588, -585, -574, 
##     -566, -556, -517, -520, -525, -535, -543, -548, -562, -569, 
##     -568, -558, -557, -540, -529, -534, -540, -520, -514, -502, 
##     -505, -381, -181, -87, -76, -55, -34, -15, -16, -19, -7, 
##     -23, -30, -37, -48, -57, -62, -88, -101, -117, -134, -161, 
##     -169, -174, -215, -244, -310, -352, -413, -444, -451, -475, 
##     -499, -515, -526, -551, -584, -587, -589, -583, -558, -555, 
##     -543, -546, -537, -538, -541, -542, -556, -552, -547, -540, 
##     -536, -407, -393, -297, -270, -209, -144, -543, -559, -568, 
##     -572, -563, -550, -548, -544, -539, -403, -363, -312, -136, 
##     -407, -429, -453, -463, -490, -500, -511, -499, -472, -459, 
##     -467, -467, -503, -504, -504, -523, -514, -536, -536, -483, 
##     -384, -355, -164, -41, -22, -8, 63, 64, 47, 50, 42, 45, 38, 
##     30, 21, -111, -135, -215, -317, -371, -420, -431, -452, -542, 
##     -547, -546, -557, -564, -570, -568, -567, -556, -557, -562, 
##     -559, -561, -551, -540, -380, -310, -295, -261, -196, -153, 
##     -90, -25, -8, -7, -16, -15, -14, -25, -35, -43, -58, -132, 
##     -177, -215, -225, -285, -386, -414, -447, -455, -494, -556, 
##     -567, -572, -575, -575, -585, -575, -584, -578, -593, -597, 
##     -558, -544, -520, -456, -421, -388, -346, -305, -219, -128, 
##     -110, -81, -59, -72, -74, -84, -91, -102, -97, -106, -111, 
##     -114, -116, -130, -140, -162, -195, -219, -244, -268, -300, 
##     -311, -360, -363, -378, -460, -529, -581, -580, -554, -543, 
##     -534, -552, -555, -559, -558, -513, -204, -145, -86, -33, 
##     9, 13, 30, 32, 34, 26, 24, 23, 24, 19, 28, 35, 24, 21, 23, 
##     16, 12, -14, -15, -43, -51, -531, -527, -527, -531, -511, 
##     -502, -450, -406, -260, -154, -74, -72, -40, -30, -13, 40, 
##     86, 83, 54, 49, 45, 37, 32, 32, 24, -15, -24, -95, -180, 
##     -256, -284, -303, -416, -460, -484, -523, -552, -547, -538, 
##     -513, -507, -526, -521, -517, -526, -518, -515, -512, -522, 
##     -533, -482, -372, -305, -266, -207, -188, 46, 81, 133, 146, 
##     193, 248, 321, 369, 412, 429, 460, 478, 492, 547, 562, 555, 
##     558, 547, 536, 514, 459, 435, 434, 445, 441, 442, 444, 473, 
##     460, 457, 456, 461, 451, 451, 446, 442, 438, 444, 439, 439, 
##     443, 428, 430, 418, 422, 416, 418, 433, 433, 439, 446, 462, 
##     457, 464, 463, 473, 471, 448, 438, 435, 425, 431, 443, 447, 
##     447, 462, 471, 466, 474, 485, 481, 495, 494, 495, 495, 514, 
##     506, 508, 514, 521, 544, 547, 537, 513, 524, 517, 504, 506, 
##     509, 501, 504, 515, 511, 509, 513, 501, 510, 498, 507, 496, 
##     493, 497, 479, 482, 474, 458, 448, 439, 439, 447, 444, 434, 
##     427, 416, 422, 452, 459, 450, 453, 451, 449, 449, 454, 453, 
##     451, 456, 453, 466, 484, 482, 505, 517, 512, 510, 499, 493, 
##     479, 486, 488, 473, 462, 451, 431, 409, 386, 373, 358, 353, 
##     356, 362, 367, 394, 391, 393, 399, 438, 463, 486, 524, 571, 
##     577, 589, 609, 632, 610, 536, 518, 512, 486, 478, 472, 472, 
##     462, 456, 447, 443, 441, 425, 434, 431, 443, 505, 520, 549, 
##     562, 556, 578, 578, 544, 556, 565, 563, 558, 458, 453, 468, 
##     496, 504, 546, 560, 595, 598, 615, 629, 652, 654, 506, 488, 
##     483, 485, 483, 490, 521, 545, 621, 629, 656, 673, 671, 651, 
##     628, 611, 599, 517, 499, 479, 489, 503, 508, 529, 589, 611, 
##     647, 648, 689, 706, 703, 706, 696, 687, 671, 660, 593, 575, 
##     524, 511, 495, 487, 495, 502, 501, 518, 525, 549, 594, 609, 
##     607, 615, 625, 630, 630, 608, 603, 585, 516, 488, 484, 528, 
##     535, 558, 572, 578, 594, 590, 537, 530, 491, 444, 445, 449, 
##     448, 439, 451, 455, 505, 519, 538, 555, 553, 561, 559, 537, 
##     530, 528, 512, 509, 486, 448, 424, 434, 424, 422, 419, 422, 
##     427, 434, 453, 467, 502, 528, 507, 491, 488, 481, 459, 438, 
##     434, 420, 413, 405, 383, 375, 366, 359, 358, 370, 372, 411, 
##     455, 470, 460, 426, 385, 371, 378, 368, 371, 360, 367, 377, 
##     394, 412, 447, 456, 457, 485, 474, 462, 476, 461, 395, 350, 
##     353, 353, 351, 346, 361, 364, 371, 393, 424, 431, 447, 475, 
##     485, 510, 552, 572, 588, 575, 568, 483, 459, 450, 439, 425, 
##     429, 408, 388, 370, 382, 427, 460, 470, 472, 463, 441, 440, 
##     441, 455, 457, 452, 451, 449, 414, 403, 391, 375, 359, 353, 
##     345, 348, 351, 371, 367, 407, 404, 442, 464, 505, 586, 597, 
##     593, 616, 617, 612, 604, 596, 594, 589, 578, 578, 568, 551, 
##     493, 492, 477, 470, 463, 464, 467, 471, 511, 513, 536, 545, 
##     541, 452, 445, 430, 437, 732, 735, 735, 735, 738, 734, 744, 
##     742, 737, 748, 748, 750, 768, 779, 782, 809, 816, 814, 808, 
##     803, 764, 769, 754, 747, 724, 702, 681, 637, 608, 585, 579, 
##     584, 597, 601, 605, 599, 636, 658, 676, 694, 712, 731, 757, 
##     774, 797, 775, 781, 760, 745, 733, 725, 686, 678, 663, 662, 
##     648, 659, 658, 661, 676, 680, 692, 707, 712, 722, 743, 760, 
##     770, 784, 805, 808, 789, 784, 742, 672, 644, 638, 631, 621, 
##     628, 634, 618, 626, 639, 645, 658, 679, 737, 753, 771, 800, 
##     746, 732, 737, 712, 693, 663, 663, 657, 666, 676, 703, 719, 
##     756, 792, 797, 774, 773, 714, 707, 689, 687, 658, 659, 663, 
##     652, 658, 674, 665, 683, 696, 657, 656, 656, 684, 666, 635, 
##     633, 636, 627, 636, 644, 659, 660, 678, 678, 708, 731, 732, 
##     759, 783, 781, 781, 773, 781, 810, 758, 757, 707, 695, 706, 
##     727, 726, 729, 761, 771, 793, 806, 824, 823, 817, 782, 752, 
##     690, 679, 604, 606, 605, 587, 595, 580, 598, 598, 660, 722, 
##     737, 757, 764, 768, 760, 787, 772, 766, 736, 702, 684, 688, 
##     703, 706, 718, 724, 734, 746, 773, 753, 745, 735, 724, 707, 
##     698, 640, 597, 536, 523, 542, 544, 556, 560, 565, 574, 628, 
##     642, 803, 846, 844, 877, 853, 843, 852, 845, 803, 743, 743, 
##     717, 702, 698, 701, 712, 729, 760, 789, 849, 800, 723, 690, 
##     671, 669, 668, 666, 664, 665, 668, 675, 680, 683, 702, 718, 
##     766, 807, 873, 887, 903, 911, 843, 851, 860, 843, 784, 744, 
##     736, 757, 760, 774, 845, 849, 846, 739, 684, 641, 578, 567, 
##     592, 616, 689, 749, 775, 849, 844, 839, 829, 837, 815, 802, 
##     797, 743, 739, 726, 728, 742, 744, 803, 814, 807, 792, 748, 
##     722, 631, 572, 536, 560, 567, 578, 587, 604, 636, 653, 684, 
##     711, 726, 746, 754, 743, 735, 736, 744, 772, 780, 813, 794, 
##     747, 711, 729, 743, 766, 779, 782, 786, 788, 777, 778, 767, 
##     735, 727, 638, 580, 554, 571, 606, 610, 600, 580, 585, 619, 
##     644, 667, 680, 700, 802, 799, 755, 773, 791, 791, 798, 798, 
##     802, 801, 674, 673, 665, 676, 681, 684, 698, 706, 704, 715, 
##     722, 721, 726, 725, 732, 724, 724, 720, 718, 716, 724, 711, 
##     713, 718, 733, 726, 721, 716, 731, 727, 730, 730, 741, 740, 
##     742, 738, 745, 744, 751, 747, 746, 748, 743, 740, 741, 742, 
##     735, 744, 741, 741, 749, 743, 759, 788, 781, 796, 813, 807, 
##     800, 800, 800, 800, 802, 799, 799, 774, 758, 734, 641, 575, 
##     489, 445, 399, 376, 284, 221, 241, 279, 298, 336, 553, 614, 
##     780, 815, 881, 925, 919, 902, 861, 842, 810, 798, 745, 711, 
##     679, 650, 701, 745, 758, 787, 781, 796, 817, 819, 792, 735, 
##     643, 572, 519, 447, 425, 353, 183, 195, 213, 297, 405, 472, 
##     536, 646, 890, 815, 773, 768, 774, 757, 731, 727, 733, 722, 
##     739, 744, 748, 752, 760, 780, 776, 781, 779, 780, 773, 778, 
##     783, 788, 792, 787, 781, 789, 801, 793, 797, 809, 810, 821, 
##     807, 807, 807, 803, 808, 808, 808, 808, 801, 805, 805, 818, 
##     822, 822, 810, 808, 810, 809, 809, 813, 809, 815, 809, 814, 
##     802, 788, 787, 783, 769, 762, 759, 746, 746, 736, 673, 651, 
##     642, 598, 599, 601, 609, 633, 641, 663, 675, 668, 643, 650, 
##     637, 646, 636, 589, 610, 616, 628, 642, 639, 618, 647, 639, 
##     628, 625, 616, 634, 626, 636, 636, 640, 648, 646, 634, 631, 
##     634, 637, 648, 634, 641, 633, 643, 647, 622, 615, 636, 688, 
##     699, 730, 733, 756, 776, 796, 806, 820, 817, 802, 800, 765, 
##     760, 729, 664, 626, 583, 521, 500, 429, 297, 266, 213, 157, 
##     119, 111, 107, 657, 666, 661, 663, 688, 711, 732, 744, 765, 
##     763, 776, 740, 707, 697, 663, 583, 562, 532, 485, 441, 425, 
##     386, 580, 641, 710, 778, 826, 863, 873, 860, 869, 899, 921, 
##     931, 927, 887, 851, 843, 834, 834, 830, 825, 828, 818, 799, 
##     773, 766, 736, 730, 721, 673, 670, 650, 641, 632, 636, 624, 
##     631, 648, 646, 645, 674, 696, 707, 722, 746, 760, 769, 773, 
##     788, 786, 764, 728, 685, 666, 600, 469, 427, 359, 311, 263, 
##     195, 181, 139, 117, 91, 65, 57, 56, 48, 37, 35, 43, 67, 104, 
##     264, 337, 372, 502, 632, 707, 824, 918, 987, 1010, 1030, 
##     1040, 1020, 1010, 1000, 924, 875, 768, 744, 715, 562, 566, 
##     559, 544, 532, 528, 498, 492, 485, 482, 480, 486, 470, 475, 
##     468, 450, 439, 428, 410, 410, 411, 382, 379, 371, 366, 376, 
##     383, 385, 375, 376, 367, 359, 376, 367, 360, 359, 358, 344, 
##     350, 343, 339, 345, 341, 365, 369, 375, 381, 373, 392, 392, 
##     403, 388, 396, 389, 386, 386, 392, 398, 385, 393, 389, 392, 
##     406, 416, 426, 433, 439, 425, 427, 426, 438, 445, 445, 442, 
##     448, 458, 460, 505, 505, 508, 520, 528, 537, 570, 583, 604, 
##     597, 599, 615, 628, 635, 630, 631, 612, 614, 621, 616, 615, 
##     616, 623, 608, 612, 597, 604, 612, 611, 612, 614, 607, 603, 
##     597, 610, 613, 625, 623, 631, 630, 620, 619, 539, 522, 527, 
##     522, 529, 524, 543, 542, 563, 568, 586, 584, 585, 582, 589, 
##     608, 610, 609, 615, 623, 638, 635, 636, 640, 640, 650, 662, 
##     654, 655, 655, 653, 648, 639, 646, 648, 636, 629, 627, 617, 
##     619, 627, 626, 631, 624, 623, 629, 631, 646, 652, 651, 659, 
##     667, 692, 712, 740, 748, 748, 740, 703, 696, 710, 713, 740, 
##     752, 783, 789, 790, 785, 767, 745, 713, 717, 695, 683, 678, 
##     677, 677, 681, 665, 650, 643, 640, 640, 649, 646, 652, 659, 
##     655, 679, 700, 704, 723, 729, 729, 745, 745, 743, 743, 745, 
##     727, 725, 728, 722, 719, 723, 714, 714, 708, 696, 695, 695, 
##     695, 694, 692, 701, 691, 686, 682, 669, 664, 681, 680, 676, 
##     672, 698, 712, 708, 716, 718, 707, 705, 679, 645, 644, 624, 
##     626, 617, 548, 531, 520, 518, 517, 514, 518, 520, 517, 516, 
##     487, 499, 500, 498, 511, 522, 521, 520, 527, 535, 567, 584, 
##     592, 599, 607, 626, 617, 641, 649, 719, 698, 699, 708, 675, 
##     642, 632, 629, 607, 604, 597, 607, 599, 594, 595, 566, 559, 
##     537, 549, 549, 537, 538, 538, 537, 545, 528, 539, 522, 521, 
##     519, 527, 513, 522, 531, 538, 551, 552, 596, 599, 619, 614, 
##     638, 650, 692, 684, 689, 683, 695, 698, 710, 699, 696, 703, 
##     685, 702, 710, 704, 706, 701, 711, 694, 693, 680, 683, 680, 
##     705, 708, 712, 707, 690, 665, 659, 640, 614, 588, 578, 567, 
##     554, 544, 539, 520, 489, 455, 446, 446, 444, 449, 440, 449, 
##     428, 436, 441, 444, 462, 469, 481, 482, 493, 506, 541, 554, 
##     565, 586, 590, 668, 671, 673, 679, 694, 693, 705, 698, 700, 
##     694, 702, 705, 696, 702, 703, 702, 697, 700, 701, 702, 713, 
##     699, 709, 711, 711, 717, 723, 722, 726, 711, 706, 715, 712, 
##     695, 664, 647, 587, 581, 568, 552, 528, 501, 491, 463, 453, 
##     443, 449, 455, 465, 492, 493, 528, 539, 594, 600, 622, 628, 
##     644, 651, 682, 684, 688, 700, 710, 709, 702, 709, 718, 717, 
##     714, 714, 720, 722, 721, 724, 727, 734, 734, 727, 727, 726, 
##     732, 726, 733, 734, 660, 651, 658, 653, 655, 661, 667, 662, 
##     668, 673, 652, 671, 666, 679, 681, 717, 715, 729, 727, 720, 
##     623, 631, 647, 632, 622, 615, 636, 627, 616, 593, 576, 564, 
##     539, 531, 532, 532, 536, 645, 564, 542, 527, 536, 540, 540, 
##     559, 571, 556, 566, 586, 580, 578, 579, 571, 568, 572, 570, 
##     570, 566, 567, 563, 567, 562, 571, 556, 557, 552, 320, 307, 
##     274, 257, 188, 190, 165, 167, 111, 90, 91, 79, 81, 79, 84, 
##     87, 96, 97, 103, 132, 216, 368, 462, 885, 898, 899, 905, 
##     903, 935, 979, 982, 988, 859, 840, 833, 822, 762, 743, 711, 
##     657, 673, 665, 665, 666, 669, 94, 93, 89, 99, 98, 101, 122, 
##     134, 150, 192, 369, 403, 459, 495, 650, 750, 794, 835, 881, 
##     568, 619, 663, 684, 694, 693, 694, 690, 664, 660, 646, 662, 
##     647, 653, 649, 636, 638, 621, 473, 428, 407, 357, 213, 136, 
##     127, 90, 70, 61, 38, 5, -2, 0, 2, 3, -4, -6, -6, 1, 6, 15, 
##     28, 48, 93, 126, 265, 318, 366, 599, 612, 627, 658, 673, 
##     668, 672, 673, 655, 577, 558, 550, 550, 570, 590, 588, 597, 
##     588, 557, 547, 528, 517, 514, 489, 483, 467, 462, 459, 472, 
##     470, 470, 481, 495, 518, 573, 576, 628, 649, 662, 665, 680, 
##     649, 644, 642, 641, 513, 494, 333, 284, 249, 201, 189, 162, 
##     121, 96, 61, 49, 26, -30, -52, -75, -57, -67, -54, -56, -54, 
##     -50, -36, -49, -39, -11, -9, -6, 2, 14, 22, 61, 70, 129, 
##     141, 166, 181, 207, 402, 414, 461, 506, 519, 617, 636, 638, 
##     660, 690, 716, 725, 738, 735, 713, 685, 650, 641, 619, 606, 
##     586, 586, 544, 528, 505, 461, 475, 501, 504, 530, 539, 546, 
##     552, 552, 563, 597, 608, 625, 628, 629, 611, 585, 577, 558, 
##     555, 543, 552, 539, 540, 496, 492, 477, 461, 419, 419, 409, 
##     430, 430, 434, 541, 515, 504, 504, 525, 528, 542, 536, 543, 
##     550, 555, 557, 593, 605, 635, 646, 643, 648, 693, 725, 727, 
##     635, 622, 569, 564, 579, 581, 591, 596, 607, 610, 603, 596, 
##     599, 590, 601, 591, 593, 587, 564, 560, 560, 542, 541, 566, 
##     563, 564, 539, 531, 518, 518, 514, 513, 526, 554, 583, 621, 
##     630, 603, 599, 601, 594, 607, 599, 617, 577, 550, 535, 506, 
##     486, 455, 451, 431, 418, 420, 426, 448, 448, 453, 457, 457, 
##     467, 516, 530, 569, 572, 576, 579, 577, 588, 571, 548, 506, 
##     506, 518, 519, 516, 535, 527, 537, 528, 521, 508, 496, 495, 
##     483, 474, 474, 473, 494, 512, 520, 529, 552, 610, 631, 644, 
##     646, 659, 651, 660, 649, 655, 655, 655, 648, 627, 529, 520, 
##     505, 458, 460, 445, 438, 422, 403, 407, 408, 413, 420, 423, 
##     425, 448, 493, 528, 619, 632, 651, 631, 622, 630, 650, 623, 
##     605, 573, 543, 535, 519, 504, 482, 472, 528, 524, 497, 502, 
##     476, 452, 424, 384, 367, 359, 363, 379, 385, 401, 421, 428, 
##     450, 469, 599, 627, 658, 677, 673, 616, 614, 613, 607, 578, 
##     563, 541, 516, 496, 479, 469, 435, 438, 425, 428, 423, 423, 
##     418, 407, 408, 414, 421, 441, 442, 450, 466, 505, 592, 599, 
##     609, 616, 616, 630, 628, 625, 608, 598, 612, 613, 584, 514, 
##     513, 526, 529, 528, 523, 505, 499, 494, 496, 501, 495, 497, 
##     494, 499, 516, 651, 644, 621, 571, 538, 523, 535, 551, 568, 
##     569, 546, 532, 548, 542, 544, 550, 557, 576, 606, 447, 441, 
##     465, 485, 542, 589, 585, 596, 590, 598, 612, 616, 626, 642, 
##     658, 659, 662, 644, 631, 619, 607, 593, 575, 539, 565, 482, 
##     453, 444, 407, 388, 383, 378, 391, 398, 419, 438, 470, 491, 
##     518, 532, 535, 564, 460, 462, 485, 489, 502, 520, 556, 583, 
##     585, 599, 614, 618, 616, 619, 619, 628, 609, 595, 581, 584, 
##     575, 552, 550, 600, 607, 604, 599, 593, 594, 590, 601, 603, 
##     682, 701, 741, 761, 810, 877, 878, 871, 866, 844, 842, 799, 
##     782, 728, 675, 545, 527, 637, 650, 664, 652, 647, 651, 646, 
##     659, 653, 656, 652, 651, 659, 659, 662, 669, 665, 664, 681, 
##     680, 666, 812, 825, 824, 823, 821, 817, 811, 817, 816, 809, 
##     811, 809, 807, 809, 806, 799, 801, 802, 813, 819, 726, 711, 
##     703, 713, 719, 699, 661, 655, 631, 617, 615, 663, 789, 811, 
##     822, 820, 796, 722, 697, 672, -160, -202, -249, -330, -350, 
##     -398, -408, -416, -438, -462, -485, -501, -506, -502, -513, 
##     -514, -519, -523, -20, 31, 42, 55, 67, 78, 75, 54, 44, 40, 
##     37, 42, 13, 6, -32, -63, -79, -104, -113, -167, -207, -213, 
##     -279, -306, -344, -379, -118, -70, -6, 7, 56, 75, 65, 71, 
##     61, 49, 33, 24, 17, 21, 13, 19, -9, -112, -136, -188, -222, 
##     -248, -302, -309, -335, -338, -449, -502, -529, 452, 469, 
##     481, 474, 512, 556, 627, 650, 683, 666, 622, 623, 632, 637, 
##     617, 609, 612, 598, 602, 600, 607, 664, 662, 661, 631, 633, 
##     614, 613, 611, 609, 599, 600, 602, 618, 616, 616, 642, 651, 
##     654, 655, 645, 635, 617, 590, 589, 573, 542, 506, 486, 451, 
##     447, 446, 605, 624, 619, 626, 608, 620, 615, 625, 634, 599, 
##     591, 579, 577, 568, 564, 552, 550, 560, 563, 549, 552, 560, 
##     586, 668, 664, 654, 651, 647, 646, 652, 634, 625, 626, 613, 
##     627, 620, 618, 612, 609, 611, 595, 591, 603, 596, 561, 665, 
##     649, 612, 593, 592, 559, 543, 540, 516, 502, 531, 547, 551, 
##     551, 568, 596, 645, 644, 655, 673, 413, 429, 385, 399, 398, 
##     404, 423, 420, 424, 431, 443, 468, 489, 512, 525, 530, 541, 
##     530, 521, 507, 497, 492, 480, 478, 475, 465, 452, 446, 423, 
##     422, 415, 428, 457, 455, 463, 463, 459, 450, 458, 474, 478, 
##     475, 483, 493, 485, 473, 467, 457, 464, 457, 451, 448, 245, 
##     259, 280, 371, 369, 404, 414, 436, 453, 463, 479, 487, 499, 
##     500, 492, 476, 470, 464, 459, 447, 439, 438, 437, 396, 369, 
##     333, 306, 313, 348, 349, 367, 346, 247, 219, 209, 160, 169, 
##     194, 200, 200, 241, 257, 272, 284, 327, 337, 399, 498, 544, 
##     636, 645, 646, 585, 573, 565, 560, 544, 547, 547, 544, 560, 
##     575, 580, 581, 561, 547, 515, 497, 483, 467, 440, 432, 574, 
##     573, 579, 578, 573, 568, 569, 528, 487, 466, 394, 382, 367, 
##     235, 185, 187, 202, 221, 238, 273, 335, 343, 446, 471, 540, 
##     550, 570, 606, 627, 645, 663, 681, 661, 649, 636, 622, 616, 
##     620, 618, 595, 600, 598, 597, 599, 610, 619, 612, 606, 585, 
##     563, 486, 454, 400, 379, 356, 338, 307, 269, 250, 204, 173, 
##     161, 173, 187, 212, 228, 234, 256, 264, 307, 344, 371, 411, 
##     451, 653, 662, 675, 690, 685, 698, 711, 687, 672, 664, 657, 
##     649, 638, 625, 604, 493, 432, 415, 432, 432, 451, 583, 633, 
##     686, 716, 735, 732, 743, 753, 739, 728, 724, 715, 706, 697, 
##     704, 693, 688, 681, 665, 667, 668, 657, 662, 655, 657, 686, 
##     687, 688, 685, 683, 691, 689, 695, 646, 631, 607, 590, 680, 
##     684, 689, 686, 687, 695, 694, 688, 677, 663, 659, 653, 656, 
##     652, 661, 667, 676, 682, 676, 671, 656, 653, 655, 642, 651, 
##     670, 628, 560, 506, 480, 464, 461, 451, 456, 453, 456, 459, 
##     457, 452, 446, 441, 449, 436, 413, 352, 310, 242, 177, 141, 
##     132, 76, 80, 69, 80, 159, 189, 290, 388, 422, 482, 519, 544, 
##     563, 553, 526, 527, 520, 516, 516, 513, 502, 486, 484, 468, 
##     470, 179, 432, 478, 557, 573, 579, 583, 588, 631, 624, 622, 
##     589, 571, 570, 571, 571, 573, 564, 558, 553, 546, 543, 535, 
##     516, 498, 487, 462, 433, 402, 368, 317, 284, 254, 176, 164, 
##     120, 110, 84, 146, 180, 259, 360, 396, 456, 488, 540, 571, 
##     581, 561, 528, 540, 545, 542, 536, 526, 526, 529, 505, 504, 
##     504, 490, 496, 482, 478, 467, 461, 451, 414, 379, 252, 223, 
##     139, 126, 467, 469, 465, 461, 444, 442, 423, 410, 389, 389, 
##     363, 336, 298, 279, 238, 211, 180, 154, 134, 114, 97, 104, 
##     115, 122, 176, 242, 254, 297, 339, 450, 467, 483, 495, 499, 
##     515, 537, 546, 558, 559, 534, 520, 528, 534, 540, 541, 520, 
##     521, 519, 518, 501, 474, 457, 447, 424, 403, 401, 369, 331, 
##     306, 285, 538, 521, 523, 535, 534, 529, 522, 523, 504, 498, 
##     504, 486, 469, 472, 450, 440, 413, 327, 318, 279, 269, 216, 
##     209, 193, 150, 61, 65, 74, 87, 116, 146, 181, 224, 287, 333, 
##     376, 404, 416, 442, 501, 513, 536, 531, 518, 513, 510, 511, 
##     529, 529, 525, 521, 497, 492, 489, 464, 446, 439, 436, 441, 
##     430, 419, 412, 395, 390, 359, 329, 315, 192, 137, 120, 100, 
##     90, 98, 106, 121, 138, 153, 176, 185, 233, 255, 382, 505, 
##     548, 535, 531, 521, 512, 496, 486, 480, 464, 471, 438, 416, 
##     377, 365, 337, 324, 315, 291, 255, 208, 179, 151, 126, 98, 
##     65, 48, 51, 54, 144, 158, 243, 262, 427, 507, 494, 486, 460, 
##     445, 366, 366, 328, 323, 299, 271, 236, 198, 185, 185, 202, 
##     599, 561, 541, 479, 435, 392, 374, 342, 311, 199, 176, 159, 
##     139, 120, 133, 134, 213, 232, 250, 267, 286, 318, 337, 358, 
##     433, 493, 571, 579, 587, 589, 597, 599, 595, 594, 603, 611, 
##     623, 630, 621, 625, 640, 647, 630, 612, 603, 598, 588, 571, 
##     567, 553, 551, 525, 507, 468, 452, 434, 392, 363, 332, 308, 
##     300, 259, 244, 221, 199, 187, 176, 163, 152, 152, 169, 193, 
##     191, 208, 227, 239, 286, 301, 349, 409, 441, 458, 480, 490, 
##     545, 539, 567, 578, 589, 595, 576, 490, 532, 546, 551, 565, 
##     569, 595, 597, 599, 596, 591, 591, 577, 582, 580, 578, 569, 
##     563, 562, 560, 558, 558, 567, 556, 550, 546, 536, 506, 474, 
##     453, 443, 436, 421, 403, 399, 383, 319, 314, 221, 193, 163, 
##     117, 116, 115, 145, 156, 189, 199, 219, 262, 302, 352, 364, 
##     447, 454, 466, 479, 488, 502, 533, 545, 556, 573, 570, 571, 
##     570, 550, 556, 558, 573, 584, 571, 556, 561, 561, 563, 563, 
##     567, 515, 474, 410, 389, 373, 375, 367, 362, 335, 321, 318, 
##     277, 260, 257, 240, 226, 169, 151, 153, 154, 153, 147, 143, 
##     155, 148, 153, 165, 173, 203, 330, 350, 423, 493, 503, 521, 
##     550, 559, 573, 551, 545, 533, 541, 562, 568, 564, 562, 568, 
##     578, 589, 567, 553, 567, 546, 532, 527, 504, 154, 178, 274, 
##     284, 400, 422, 534, 539, 556, 565, 616, 592, 528, 517, 539, 
##     552, 554, 558, 542, 540, 536, 540, 554, 550, 523, 418, 414, 
##     201, 196, 207, 209, 204, 197, 174, 169, 165, 150, 139, 140, 
##     124, 121, 97, 73, 55, 44, 44, 80, 154, 170, 185, 211, 231, 
##     361, 375, 404, 438, 457, 481, 527, 539, 520, -106, -64, -35, 
##     -12, -8, 43, 45, 43, 37, 22, 31, 15, 14, 8, 11, -8, -41, 
##     -75, -158, -215, -293, -322, -339, -393, -429, -458, -472, 
##     -502, -530, -543, -556, -564, -553, -555, -530, -522, -518, 
##     -513, -518, -514, -520, -528, -530, -507, -482, -438, -389, 
##     -357, -284, -255, -156, -125, -55, -4, 12, 33, 47, 34, 23, 
##     19, 16, 9, 5, 4, -6, -3, -19, -82, -133, -150, -189, -294, 
##     -338, -372, -399, -437, -456, -510, -510, -519, -512, -510, 
##     -512, -522, -539, -552, -563, -551, -551, -545, -551, -543, 
##     -545, -544, -550, -550, -555, -550, -558, -566, -568, -575, 
##     -573, -569, -550, -35, -65, -116, -171, -237, -398, -424, 
##     -543, -611, -571, -571, -569, -583, -585, -583, -579, -590, 
##     -586, -614, -619, -595, -495, -422, -293, -254, -220, -143, 
##     -109, -60, -24, -6, 16, 35, 37, 18, -37, -47, -48, -57, -48, 
##     -49, -27, 1, -2, 9, 29, 29, -41, -67, -77, -96, -144, -171, 
##     -198, -226, -238, -255, -273, -332, -361, -418, -492, -646, 
##     -676, -582, -585, -584, -578, -582, -578, -589, -607, -622, 
##     -611, -575, -528, -510, -463, -399, -355, -203, -95, -43, 
##     -32, 29, 59, 84, 89, 59, 41, 20, 25, 29, 35, 48, 60, 76, 
##     73, 81, 77, 13, -3, -38, -46, -168, -180, -237, -258, -426, 
##     -462, -687, -726, -711, -586, -582, -584, -595, -590, -613, 
##     -624, -669, -654, -595, -571, -506, -445, -262, -144, -113, 
##     -55, -10, 24, 30, 76, 82, 79, 84, 53, 39, 25, 21, 11, 24, 
##     35, 78, 92, 49, 34, -9, -65, -111, -163, -185, -272, -302, 
##     -322, -344, -393, -412, -488, -509, -522, -550, -574, -618, 
##     -665, -687, -679, -659, -645, -650, -646, -646, -641, -641, 
##     -695, -548, -503, -432, -384, -329, -297, -137, -55, 28, 
##     101, 119, 100, 82, 80, 69, 42, 56, 63, 76, 102, 101, 96, 
##     15, -34, -83, -147, -165, -250, -426, -453, -526, -565, -632, 
##     -667, -684, -650, -630, -624, -613, -624, -619, -612, -600, 
##     -608, -606, -668, -668, -597, -439, -384, -317, -291, -231, 
##     -173, -82, -45, -33, 38, 68, 75, 58, 50, 30, 25, 15, -5, 
##     -14, 1, 8, 8, 27, 37, 17, 8, -40, -74, -176, -198, -248, 
##     -280, -299, -347, -426, -478, -519, -589, -752, -784, -675, 
##     -655, -637, -609, -607, -607, -643, -672, -690, -661, -575, 
##     -528, -493, -439, -379, -262, -227, -212, -176, -78, -46, 
##     -28, 46, 73, 90, 101, 88, 85, 65, 58, 44, 47, 103, 98, 95, 
##     92, 91, 96, 95, 75, 29, -7, -47, -108, -144, -245, -280, 
##     -314, -348, -370, -397, -426, -545, -621, -694, -674, -666, 
##     -627, -622, -617, -618, -626, -663, -662, -538, 88, 126, 
##     114, 112, 109, 56, -15, -34, -66, -192, -214, -230, -255, 
##     -261, -329, -410, -444, -454, -475, -485, 440, 441, 462, 
##     466, 479, 487, 592, 595, 636, 621, 528, 465, 454, 420, 393, 
##     393, 410, 426, 453, 458, 475, 502, 522, 564, 567, 556, 535, 
##     486, 451, 436, 434, 436, 422, 424, 414, 422, 423, 424, 495, 
##     522, 558, 600, 604, 602, 608, 589, 585, 544, 520, 506, 487, 
##     457, 409, 389, 400, 382, 391, 365, 359, 371, 384, 385, 377, 
##     399, 405, 412, 407, 405, 408, 407, 407, 400, 413, 410, 414, 
##     406, 404, 403, 412, 403, 410, 403, 420, 427, 421, 426, 427, 
##     438, 437, 450, 449, 470, 470, 483, 515, 556, 564, 570, 570, 
##     565, 564, 559, 547, 543, 525, 524, 455, 424, 294, 267, 257, 
##     232, 206, 198, 187, 171, 181, 168, 227, 306, 311, 329, 395, 
##     449, 495, 525, 548, 579, 594, 563, 540, 508, 500, 493, 495, 
##     490, 477, 460, 460, 424, 400, 357, 341, 311, 304, 263, 259, 
##     217, 212, 209, 261, 274, 302, 381, 418, 507, 578, 595, 606, 
##     616, 626, 604, 554, 518, 515, 509, 517, 517, 510, 509, 528, 
##     547, 543, 544, 533, 521, 527, 493, 448, 430, 401, 374, 322, 
##     275, 257, 243, 233, 245, 274, 387, 450, 482, 493, 531, 555, 
##     577, 605, 612, 605, 583, 575, 557, 563, 557, 550, 536, 547, 
##     546, 552, 548, 567, 561, 560, 559, 550, 511, 497, 490, 474, 
##     455, 429, 406, 344, 298, 246, 210, 229, 232, 259, 312, 328, 
##     500, 498, 484, 483, 479, 459, 447, 410, 372, 359, 325, 298, 
##     282, 259, 188, 188, 199, 244, 259, 294, 329, 361, 420, 441, 
##     488, 517, 536, 575, 586, 550, 521, 504, 505, 511, 500, 503, 
##     498, 490, 494, 454, 458, 455, 427, 383, 361, 296, 295, 254, 
##     243, 225, 214, 214, 217, 232, 238, 639, 640, 633, 624, 605, 
##     596, 548, 519, 455, 309, 260, 257, 263, 281, 284, 312, 317, 
##     352, 391, 461, 662, 667, 674, 677, 683, 679, 669, 668, 661, 
##     658, 634, 604, 604, 605, 561, 496, 455, 388, 357, 337, 305, 
##     263, 285, 331, 355, 362, 434, 511, 569, 601, 642, 663, 715, 
##     721, 710, 678, 663, 671, 700, 710, 707, 694, 690, 677, 650, 
##     617, 515, 477, 477, 447, 447, 403, 403, 364, 358, 263, 248, 
##     223, 223, 312, 518, 552, 610, 646, 664, 716, 745, 723, 678, 
##     680, 703, 706, 668, 653, 657, 649, 621, 601, 720, 705, 708, 
##     701, 697, 694, 698, 692, 667, 664, 642, 604, 553, 491, 468, 
##     415, 415, 415, 415, 359, 351, 320, 287, 283, 259, 250, 264, 
##     607, 558, 558, 558, 488, 442, 397, 360, 289, 257, 214, 211, 
##     254, 261, 285, 316, 372, 419, 470, 508, 538, 556, 601, 628, 
##     641, 687, 695, 680, 677, 719, 694, 695, 671, 670, 637, 629, 
##     574, 494, 479, 448, 353, 231, 192, 159, 143, 116, 126, 126, 
##     139, 171, 193, 269, 403, 563, 690, 723, 747, 764, 774, 768, 
##     794, 791, 798, 810, 793, 781, 781, 784, 769, 701, 627, 419, 
##     375, 364, 307, 260, 235, 234, 230, 230, 230, 230, 230, 235, 
##     250, 250, 255, 276, 339, 348, 388, 452, 461, 560, 590, 705, 
##     700, 732, 753, 752, 759, 751, 744, 732, 662, 638, 567, 561, 
##     526, 355, 323, 291, 193, 202, 215, 226, 237, 262, 266, 296, 
##     330, 352, 411, 444, 489, 489, 529, 555, 616, 689, 719, 765, 
##     763, 772, 774, 758, 750, 742, 732, 730, 716, 708, 680, 655, 
##     528, 468, 436, 393, 324, 279, 252, 608, 599, 600, 618, 613, 
##     627, 622, 623, 623, 628, 632, 630, 621, 623, 621, 623, 627, 
##     629, 624, 619, 613, 610, 623, 617, 631, 645, 644, 647, 654, 
##     654, 656, 662, 670, 664, 652, 654, 647, 649, 647, 649, 649, 
##     645, 644, 645, 645, 649, 652, 654, 657, 657, 648, 655, 649, 
##     648, 649, 648, 652, 653, 655, 659, 652, 646, 652, 652, 662, 
##     656, 658, 658, 664, 661, 668, 660, 663, 655, 668, 657, 667, 
##     662, 656, 655, 664, 664, 651, 657, 650, 650, 663, 665, 657, 
##     654, 644, 638, 638, 636, 634, 640, 644, 653, 649, 647, 648, 
##     650, 645, 650, 646, 648, 639, 646, 642, 642, 636, 634, 632, 
##     635, 635, 634, 633, 619, 614, 616, 627, 640, 642, 630, 630, 
##     630, 626, 627, 627, 627, 660, 658, 667, 658, 661, 660, 661, 
##     662, 666, 669, 665, 670, 667, 666, 683, 667, 673, 664, 657, 
##     661, 672, 672, 665, 736, 723, 727, 745, 744, 759, 760, 740, 
##     731, 729, 710, 709, 707, 704, 705, 703, 679, 669, 645, 609, 
##     727, 734, 748, 734, 737, 740, 763, 764, 748, 748, 732, 707, 
##     698, 651, 631, 621, 616, 609, 603, 600, 581, 586, 609, 623, 
##     618, 623, 608, 637, 660, 672, 657, 663, 655, 679, 685, 679, 
##     671, 669, 687, 674, 674, 671, 680, 685, 678, 692, 694, 712, 
##     724, 715, 712, 711, 708, 721, 713, 719, 677, 678, 678, 669, 
##     653, 641, 639, 600, 594, 665, 688, 693, 703, 713, 727, 731, 
##     739, 746, 753, 753, 751, 739, 745, 746, 749, 760, 756, 752, 
##     754, 790, 790, 783, 784, 734, 726, 720, 710, 702, 704, 712, 
##     706, 683, 664, 646, 589, 566, 499, 495, 484, 489, 488, 480, 
##     442, 467, 496, 505, 504, 511, 519, 527, 530, 538, 561, 603, 
##     648, 654, 653, 653, 654, 662, 667, 696, 720, 731, 733, 730, 
##     736, 729, 729, 727, 723, 723, 709, 717, 715, 722, 716, 707, 
##     697, 703, 698, 698, 694, 683, 673, 666, 650, 646, 641, 647, 
##     437, 419, 422, 419, 443, 452, 478, 517, 530, 559, 584, 626, 
##     637, 686, 700, 716, 709, 716, 713, 716, 687, 673, 669, 662, 
##     654, 617, 609, 603, 616, 601, 601, 614, 608, 600, 607, 614, 
##     608, 608, 615, 606, 610, 571, 479, 456, 450, 442, 435, 432, 
##     425, 433, 433, 439, 454, 457, 467, 474, 478, 485, 522, 550, 
##     583, 595, 612, 623, 626, 638, 635, 639, 613, 596, 598, 591, 
##     586, 585, 591, 585, 568, 566, 533, 524, 536, 544, 568, 592, 
##     586, 615, 609, 589, 579, 560, 547, 552, 551, 535, 530, 522, 
##     503, 469, 475, 471, 464, 469, 473, 467, 475, 478, 474, 493, 
##     508, 541, 567, 595, 617, 623, 644, 657, 665, 650, 599, 585, 
##     564, 569, 570, 583, 582, 536, 534, 554, 560, 568, 618, 616, 
##     629, 624, 622, 605, 587, 588, 598, 612, 601, 591, 583, 556, 
##     549, 551, 539, 531, 519, 639, 650, 631, 628, 626, 616, 617, 
##     543, 530, 520, 531, 520, 515, 526, 529, 546, 511, 494, 478, 
##     472, 465, 452, 450, 451, 460, 463, 462, 473, 475, 477, 472, 
##     500, 524, 527, 550, 571, 570, 577, 587, 592, 615, 621, 649, 
##     649, 643, 628, 606, 614, 617, 628, 693, 707, 693, 703, 681, 
##     679, 650, 618, 580, 525, 502, 469, 466, 464, 441, 450, 440, 
##     448, 431, 440, 434, 448, 450, 458, 440, 448, 456, 447, 439, 
##     422, 425, 398, 390, 393, 397, 751, 749, 759, 747, 751, 745, 
##     741, 741, 744, 743, 759, 752, 741, 750, 752, 757, 757, 757, 
##     769, 768, 777, 782, 783, 798, 795, 803, 791, 801, 541, 520, 
##     516, 519, 514, 496, 478, 502, 520, 526, 530, 536, 536, 550, 
##     587, 619, 638, 641, 505, 466, 463, 478, 482, 480, 491, 494, 
##     507, 503, 510, 519, 540, 585, 573, 567, 584, 689, 726, 753, 
##     760, 773, 754, 753, 744, 736, 745, 750, 733, 735, 745, 734, 
##     727, 738, 743, 746, 753, 741, 735, 730, 718, 584, 554, 540, 
##     537, 524, 519, 528, 538, 541, 555, 567, 570, 588, 630, 645, 
##     664, 670, 673, 612, 615, 601, 552, 525, 560, 586, 534, 519, 
##     522, 495, 457, 432, 408, 396, 409, 411, 419, 427, 426, 440, 
##     445, 469, 491, 497, 547, 558, 564, 569, 569, 573, 575, 580, 
##     577, 626, 636, 650, 658, 664, 674, 676, 691, 698, 718, 710, 
##     720, 714, 707, 696, 673, 652, 635, 584, 582, 491, 501, 506, 
##     533, 561, 593, 607, 612, 617, 641, 658, 651, 636, 625, 614, 
##     602, 597, 594, 598, 603, 601, 594, 556, 550, 551, 567, 581, 
##     591, 580, 582, 585, 572, 569, 580, 591, 613, 647, 596, 585, 
##     592, 609, 618, 643, 629, 607, 602, 580, 554, 504, 503, 485, 
##     470, 451, 448, 440, 447, 448, 457, 466, 479, 484, 485, 516, 
##     540, 556, 563, 571, 474, 479, 486, 489, 489, 493, 527, 540, 
##     518, 502, 479, 491, 490, 524, 550, 599, 612, 614, 605, 595, 
##     587, 551, 527, 517, 513, 500, 497, 487, 497, 483, 482, 479, 
##     475, 608, 595, 602, 601, 596, 593, 595, 599, 595, 589, 576, 
##     574, 607, 627, 632, 637, 625, 607, 569, 556, 542, 528, 520, 
##     510, 517, 521, 532, 539, 533, 522, 468, 403, 370, 348, 315, 
##     291, 248, 185, 177, 153, 67, 61, 29, 21, 79, 95, 104, 129, 
##     284, 290, 257, 246, 231, 204, 204, 187, 175, 173, 146, 125, 
##     120, 118, 102, 106, 119, 124, 136, 162, 170, 166, 199, 224, 
##     236, 266, 293, 300, 317, 340, 447, 464, 554, 536, 536, 556, 
##     568, 576, 575, 574, 540, 533, 512, 447, 403, 380, 290, 216, 
##     237, 253, 259, 310, 364, 444, 457, 513, 557, 574, 618, 621, 
##     647, 657, 673, 674, 664, 676, 674, 659, 666, 671, 663, 651, 
##     651, 615, 605, 467, 462, 442, 439, 440, 450, 456, 482, 488, 
##     491, 485, 520, 568, 691, 729, 734, 687, 640, 620, 575, 574, 
##     565, 584, 607, 644, 638, 632, 580, 524, 516, 522, 524, 541, 
##     538, 539, 514, 490, 472, 467, 477, 478, 582, 601, 627, 639, 
##     653, 662, 678, 674, 686, 686, 675, 663, 653, 648, 653, 639, 
##     636, 625, 600, 589, 589, 587, 656, 660, 648, 656, 658, 664, 
##     665, 672, 666, 655, 657, 655, 656, 663, 666, 663, 665, 661, 
##     663, 661, 669, 674, 671, 671, 671, 249, 302, 411, 440, 501, 
##     550, 573, 633, 654, 671, 671, 670, 660, 636, 619, 623, 624, 
##     626, 593, 593, 602, 407, 421, 467, 502, 524, 570, 716, 726, 
##     734, 749, 745, 750, 754, 707, 699, 717, 719, 710, 696, 540, 
##     450, 419, 394, 365, 322, 283, 270, 285, 285, 301, 301, 301, 
##     409, 503, 579, 582, 637, 670, 673, 694, 691, 702, 701, 700, 
##     702, 708, 716, -272, -175, -131, -125, 94, 83, 69, 43, 16, 
##     38, 33, 40, 49, 75, 93, 76, 41, 2, -86, -133, -147, -177, 
##     -402, -514, -583, -708, -715, -683, -592, -583, -582, -568, 
##     -573, -570, -580, -583, -599, -658, -659, -634, -552, -502, 
##     -455, -367, -349, -585, -581, -508, -427, -376, -354, -311, 
##     -245, -204, -101, -70, -20, 110, 127, 133, 120, 119, 107, 
##     80, 41, 32, 38, 1, -2, 3, 16, 20, 41, 45, 56, 40, -29, -7, 
##     -29, -137, -186, -232, -268, -275, -314, -324, -384, -418, 
##     -428, -478, -527, -567, -583, -639, -650, -566, -560, -563, 
##     -559, -570, -569, -577, -499, -494, -447, -399, -366, -319, 
##     -295, -270, -199, -163, -109, -44, 7, 22, 23, 29, -4, -18, 
##     -34, -30, -19, -8, 7, 14, 32, 13, 277, 246, 223, 195, 152, 
##     105, 19, 13, -7, 2, 33, 73, 125, 230, 252, 278, 371, 425, 
##     442, 458, 484, 552, 557, 536, 540, 530, 73, 70, 75, 139, 
##     188, 281, 313, 338, 509, 527, 581, 581, 605, 597, 563, 512, 
##     518, 508, 491, 497, 488, 489, 495, 459, 423, 408, 403, 398, 
##     389, 354, 318, 289, 209, 93, 79, 69, 151, 567, 531, 509, 
##     471, 451, 444, 416, 418, 417, 427, 440, 476, 500, 504, 525, 
##     549, 549, 602, 651, 663, 678, 677, 689, 684, 331, 320, 295, 
##     247, 246, 228, 211, 198, 205, 213, 221, 231, 243, 248, 271, 
##     282, 294, 306, 329, 388, 460, 591, 613, 620, 629, 598, 589, 
##     592, 584, 575, 358, 392, 426, 445, 462, 480, 499, 516, 581, 
##     600, 615, 601, 581, 571, 512, 515, 508, 503, 508, 514, 503, 
##     501, 508, 506, -863, -855, -843, -831, -819, -792, -723, 
##     -728, -736, -751, -755, -767, -726, -701, -688, -574, -531, 
##     -497, -491, -474, -447, -379, -363, -366, -366, -359, -322, 
##     -304, -287, -297, -307, -296, -280, -292, -266, -271, -250, 
##     -249, -250, -250, -250, 777, 775, 777, -126, -137, -131, 
##     -134, -118, -74, 103, 277, 298, 363, 445, 471, 545, 577, 
##     624, 650, 740, 784, 800, 849, 848, 845, 838, 810, 791, 693, 
##     681, 653, 622, 612, 471, 435, 409, 408, 415, 430, 445, 450, 
##     472, 518, 570, 598, 630, 646, 656, 661, 673, 664, 663, 634, 
##     585, 429, 226, 156, 108, 83, 56, 35, 15, -9, -40, -39, -57, 
##     -71, -42, -18, -15, 3, 65, 80, 148, 205, 254, 453, 598, 709, 
##     836, 851, 948, 959, 967, 963, 930, 866, 840, 780, 758, 700, 
##     696, 602, 571, 532, 513, 512, 495, 490, 540, 600, 619, 654, 
##     679, 686, 700, 720, 740, 728, 735, 715, 687, 670, 642, 578, 
##     531, 493, 474, 415, 350, 279, 213, 188, 111, 75, 54, 28, 
##     -22, -33, -79, -78, -38, -22, 28, 53, 154, 207, 223, 358, 
##     420, 452, 514, 399, 401, 408, 444, 488, 499, 544, 571, 591, 
##     620, 654, 657, 569, 653, 647, 626, 585, 555, 555, 527, 515, 
##     517, 517, 516, 524, 512, 508, 504, 491, 505, 506, 519, 519, 
##     519, 520, 524, 522, 525, 525, 531, 530, 526, 528, 529, 533, 
##     531, 528, 531, 533, 523, 533, 532, 535, 522, 521, 523, 523, 
##     520, 523, 535, 541, 540, 553, 554, 568, 575, 578, 576, 566, 
##     579, 580, 580, 544, 504, 343, 318, 282, 256, 236, 94, 56, 
##     38, 5, -6, -33, -63, -110, -144, -174, -212, -262, -280, 
##     -280, -266, -248, -214, -214, -223, -225, -215, -207, -186, 
##     -156, -55, 2, 119, 277, 418, 564, 755, 795, 814, 824, 806, 
##     786, 757, 680, 618, 576, 526, 520, 527, 524, 536, 536, 541, 
##     537, 543, 544, 553, 551, 553, 569, 574, 545, 503, 470, 381, 
##     352, 303, 249, 180, 140, 111, 91, 56, -48, -111, -231, -295, 
##     -280, -241, -222, -205, -199, -198, -186, -165, -98, -20, 
##     278, 344, 366, 417, 461, 478, 535, 561, 606, 636, 660, 658, 
##     654, 656, 649, 649, 632, 624, 591, 564, 552, 555, -33, -28, 
##     81, 160, 355, 451, 538, 614, 618, 645, 666, 670, 652, 636, 
##     583, 562, 521, 525, 559, 575, 566, 533, 419, 336, 219, 191, 
##     147, 131, -108, -251, -199, -148, -104, -82, -50, -17, -3, 
##     92, 165, 216, 281, 393, 457, 572, 607, 631, 676, 689, 698, 
##     703, 708, 706, 703, 674, 639, 623, 629, 634, 634, 573, 572, 
##     543, 524, 501, 470, 447, 383, 351, 322, 227, 95, 25, -8, 
##     -39, -150, -202, -250, -250, -183, -140, -102, -43, 47, 73, 
##     132, 173, 237, 312, 335, 357, 309, 284, 226, 164, 138, 105, 
##     84, 42, 24, -13, -72, -194, -203, -181, -168, -148, -126, 
##     -111, -75, -60, -23, 24, 136, 160, 290, 341, 364, 417, 469, 
##     490, 539, 574, 634, 691, 700, 699, 688, 661, 611, 592, 596, 
##     581, 587, 573, 567, 578, 595, 610, 635, 642, 687, 608, 467, 
##     413, 336, 253, -11, -71, -91, -112, -140, -133, -115, -38, 
##     52, 72, 148, 180, 291, 371, 566, 718, 800, 859, 893, 832, 
##     662, 585, 530, 396, 391, 399, 401, 391, 398, 438, 456, 469, 
##     517, 550, 548, 562, 551, 546, 526, 499, 466, 440, 418, 92, 
##     -9, -47, -77, -89, -23, -4, 28, 96, 111, 147, 288, 367, 408, 
##     420, 446, 469, 466, 476, 540, 608, 636, 646, 670, 651, 636, 
##     633, 612, 596, 557, 534, 504, 498, 448, 451, 493, 527, 549, 
##     567, 588, 602, 603, 604, 591, 575, 559, 471, 439, 395, 286, 
##     189, 41, -25, -162, -243, -239, -220, -226, -179, -115, -90, 
##     -57, -46, 37, 75, 97, 136, 182, 208, 251, 326, 455, 500, 
##     550, 689, 691, 666, 670, 647, 632, 620, 560, 552, 534, 532, 
##     541, 542, 555, 564, 572, 579, 591, 595, 598, 589, 600, 590, 
##     596, 584, 584, 589, 581, 577, 576, 573, 573, 569, 580, 576, 
##     572, 586, 595, 616, 624, 638, 652, 657, 666, 653, 652, 668, 
##     675, 717, 723, 724, 730, 725, 715, 716, 720, 710, 725, 724, 
##     727, 719, 718, 705, 694, 685, 706, 702, 711, 710, 726, 727, 
##     723, 747, 748, 743, 460, 477, 531, 499, 493, 487, 492, 501, 
##     500, 476, 478, 484, 474, 469, 473, 466, 468, 456, 456, 452, 
##     436, 306, 292, 122, 49, 63, 123, 281, 419, 466, 526, 567, 
##     588, 608, 623, 648, 655, 632, 645, 685, 681, 668, 680, 696, 
##     703, 713, 749, 714, 699, 688, 665, 659, 653, 644, 630, 630, 
##     630, 648, 654, 674, 683, 688, 680, 690, 687, 692, 599, 534, 
##     426, 367, 134, 36, -374, -402, -410, -407, -362, -342, -334, 
##     -257, -182, -111, 85, 257, 364, 488, 520, 536, 562, 586, 
##     614, 628, 631, 634, 616, 632, 625, 601, 575, 572, 563, 577, 
##     580, 612, 622, 630, 631, 578, 547, 445, 410, 325, 194, 73, 
##     -55, -167, -264, -300, -400, -297, -260, -235, -132, 87, 
##     513, 541, 709, 733, 744, 537, 562, 578, 616, 603, 586, 606, 
##     607, 603, 606, 577, 558, 541, 532, 519, 516, 509, 487, 455, 
##     438, 409, 389, 371, 371, 339, 325, 235, 235, 191, 177, 167, 
##     169, 154, 142, 113, 121, 140, 135, 195, 236, 271, 326, 341, 
##     400, 410, 435, 421, 411, 422, 432, 448, 494, 521, 549, 582, 
##     583, 599, 600, 599, 559, 565, 573, 573, 588, 582, 577, 568, 
##     558, 555, 423, 371, 348, 326, 319, 264, 207, 191, 175, 154, 
##     149, 145, 125, 117, 42, 43, 37, 59, 69, 68, 71, 75, 97, 127, 
##     148, 163, 166, 180, 193, 199, 214, 234, 242, 250, 261, 281, 
##     312, 328, 375, 439, 453, 461, 493, 523, 530, 553, 524, 496, 
##     484, 486, 481, 481, 471, 473, 484, 485, 498, 508, 510, 519, 
##     504, 497, 494, 497, 491, 454, 436, 429, 428, 423, 436, 447, 
##     461, 452, 444, 447, 440, 450, 433, 437, 427, 422, 409, 408, 
##     404, 410, 418, 432, 458, 469, 507, 511, 545, 556, 569, 583, 
##     582, 584, 586, 585, 554, 543, 518, 494, 447, 265, 196, 130, 
##     109, 81, 67, -40, -58, -78, -75, -72, -72, -58, -39, -12, 
##     21, 41, 48, 94, 109, 199, 216, 247, 261, 283, 323, 351, 367, 
##     391, 450, 459, 477, 495, 486, 497, 518, 520, 537, 530, 519, 
##     481, 474, 469, 461, 458, 454, 454, 457, 454, 448, 471, 486, 
##     524, 532, 544, 550, 542, 607, 620, 556, 545, 508, 443, 406, 
##     370, 347, 239, 215, 173, 127, 115, 68, 38, 36, 18, 9, -8, 
##     -13, -17, -7, 6, 21, 37, 62, 101, 113, 132, 169, 273, 346, 
##     403, 459, 493, 510, 538, 569, 578, 560, 551, 559, 513, 501, 
##     477, 475, 478, 480, 482, 485, 487, 481, 483, 485, 489, 495, 
##     508, 520, 521, 541, 532, 535, 551, 555, 566, 569, 547, 527, 
##     437, 374, 318, 265, 181, 46, 13, -120, -107, -117, -81, -62, 
##     -54, -38, -7, 30, 61, 64, 101, 150, 162, 199, 264, 307, 359, 
##     405, 422, 426, 450, 466, 501, 525, 530, 545, 532, 517, 497, 
##     486, 483, 486, 484, 496, 485, 480, 490, 467, 473, 474, 492, 
##     488, 511, 527, 539, 574, 563, 553, 549, 544, 557, 585, 597, 
##     607, 627, 642, 630, 518, 417, 327, 272, 182, 150, 117, 109, 
##     89, 79, 6, -14, -48, -58, -61, -84, -79, -58, -30, -21, 7, 
##     10, 97, 120, 128, 172, 200, 208, 218, 231, 235, 246, 334, 
##     359, 418, 439, 452, 454, 447, 483, 493, 490, 477, 470, 438, 
##     434, 439, 454, 476, 480, 478, 481, 476, 475, 478, 480, 483, 
##     466, 390, 367, 373, 399, 406, 499, 415, 363, 324, 223, 190, 
##     139, 117, 88, 21, -2, -13, -45, -49, -60, -67, -77, -85, 
##     -76, -71, -67, -34, -14, 1, 19, 52, 58, 90, 611, 607, 598, 
##     593, 594, 590, 604, 611, 621, 676, 709, 741, 742, 690, 613, 
##     492, 463, 356, 236, 223, 197, 151, 116, 104, 66, 15, -45, 
##     -48, -49, -40, -34, -41, -42, -41, -33, -27, -9, 28, 48, 
##     77, 112, 127, 150, 185, 228, 297, 308, 368, 452, 462, 512, 
##     529, 483, 415, 412, 401, 404, 408, 408, 367, 363, 343, 343, 
##     351, 377, 408, 489, 511, 524, 520, 504, 468, 431, 367, 304, 
##     275, 223, 120, 65, 16, -47, -66, -89, -69, -52, -42, -36, 
##     -23, -8, 23, 50, 167, 209, 233, 338, 400, 414, 458, 467, 
##     551, 565, 580, 581, 581, 569, 529, 517, 511, 492, 472, 466, 
##     445, 440, 419, 418, 403, 409, 420, 458, 477, 492, 465, 440, 
##     402, 374, 371, 365, 451, 476, 396, 376, 346, 324, 279, 248, 
##     113, 71, 49, -18, -31, -37, -40, -37, -21, -19, -12, 8, 14, 
##     38, 103, 116, 126, 136, 168, 211, 208, 245, 267, 328, 425, 
##     465, 478, 501, 482, 491, 539, 621, 634, 603, 550, 533, 535, 
##     543, 531, 524, 509, 515, 514, 529, 537, 540, 553, 549, 544, 
##     557, 567, 566, 599, 591, 565, 543, 453, 402, 329, 295, 151, 
##     115, 92, -43, -49, -48, -44, -55, -58, 0, 5, 46, 67, 88, 
##     91, 151, 173, 238, 329, 355, 380, 412, 424, 422, 412, 412, 
##     416, 416, 456, 511, 527, 546, 558, 563, 498, 475, 455, 438, 
##     443, -509, -543, -551, -579, -568, -569, -562, -544, -538, 
##     -534, -541, -531, -529, -501, -488, -490, -482, -489, -505, 
##     -513, -530, -532, -533, -528, -533, -526, -538, -528, -538, 
##     -542, -544, -548, -544, -552, -552, -557, -564, -557, -553, 
##     -552, -560, -555, -542, -549, -540, -515, -513, -497, -292, 
##     -244, -191, -81, -12, 55, 84, 178, 181, 181, 174, 171, 184, 
##     190, 169, 164, 146, 125, 85, 47, -47, -64, -95, -134, -149, 
##     -170, -144, -139, -131, -114, -68, -48, -15, 18, 38, 97, 
##     104, 115, 122, 114, -112, -52, -31, -4, 103, 124, 138, 147, 
##     142, 135, 138, 129, 137, 131, 152, 172, 183, 187, 88, 44, 
##     19, -31, -101, -109, -148, -167, -170, -185, -187, -201, 
##     -201, -183, -165, -154, -129, -128, -115, 24, 43, 81, 87, 
##     134, 140, 148, 136, 133, 137, 133, 127, 131, 147, 137, 149, 
##     139, 144, 123, 115, 58, 37, 7, -122, -167, -182, -175, -194, 
##     -205, -208, -208, -205, -187, -158, -149, -132, -115, -52, 
##     -2, 71, 120, 124, 122, 132, 121, 119, 108, 100, 103, 99, 
##     127, 142, 147, 137, 139, 117, 115, 101, 86, 55, -154, -168, 
##     -202, -217, -270, -306, -318, -332, -382, -372, -378, -368, 
##     -346, -327, -295, -269, -266, -208, -194, -86, -34, 28, 27, 
##     85, 148, 153, 162, 148, 121, 122, 134, 146, 149, 129, 106, 
##     44, 35, 5, -14, -32, -51, -58, -72, -117, -124, -147, -191, 
##     -186, -178, -174, -125, -125, -68, -34, 23, 89, 102, 96, 
##     97, 88, 97, 77, 67, 55, 34, 11, 56, 64, 101, 103, 105, 117, 
##     86, 81, 61, 49, 37, -53, -51, -77, -97, -106, -90, -103, 
##     -101, -92, -72, -51, 111, 135, -119, -103, -90, -77, -67, 
##     -63, -39, 23, 52, 53, 73, 91, 80, 76, 81, 71, 67, 56, 58, 
##     45, 53, 68, 72, 86, 106, 104, 102, 104, 95, 85, 74, 71, 33, 
##     10, 2, -14, -8, -39, -45, -70, -108, -99, -97, -85, -63, 
##     -63, -49, -19, -1, 45, 93, 122, 134, 155, 168, 162, 165, 
##     160, 134, 74, 57, 57, 18, 20, 38, 81, 92, 113, 113, 107, 
##     79, 84, 86, 76, 69, 64, 55, 18, -6, -69, -85, -123, -177, 
##     -197, -211, -274, -306, -331, -337, -375, -481, -541, -581, 
##     -595, -761, -794, -813, -835, -872, -894, -933, -926, -941, 
##     -945, -950, -932, -927, -921, -932, -939, -946, -943, -949, 
##     -951, -949, -956, -951, -954, -960, -953, -949, -949, -949, 
##     -949, -959, -956, -962, -953, -952, -956, -954, -955, -961, 
##     -950, -960, -959, -960, -953, -942, -950, -945, -938, -923, 
##     -934, -948, -945, -956, -963, -957, -973, -955, -949, -924, 
##     -921, 671, 665, 672, 667, 672, 672, 681, 671, 675, 672, 676, 
##     677, 674, 672, 675, 686, 673, 682, 680, 686, 677, 683, 674, 
##     677, 678, 667, 672, 663, 668, 665, 665, 671, 671, 689, 690, 
##     691, 696, 710, 718, 713, 718, 707, 698, 715, 726, 757, 743, 
##     728, 744, 732, 721, 468, 436, 306, 248, 118, 77, 98, 102, 
##     319, 352, 422, 499, 539, 792, 873, 868, 843, 799, 750, 738, 
##     728, 724, 735, 757, 775, 782, 798, 812, 800, 784, 719, 661, 
##     661, 606, 572, 507, 479, 295, 222, 145, 103, 103, 83, 83, 
##     83, 83, 93, 113, 126, 142, 173, 238, 434, 660, 704, 796, 
##     821, 825, 833, 833, 823, 800, 726, 694, 694, 705, 722, 721, 
##     737, 771, 823, 818, 813, 752, 700, 553, 517, 406, 368, 233, 
##     233, 200, 191, 192, 197, 244, 296, 382, 531, 659, 814, 919, 
##     942, 955, 942, 906, 828, 804, 760, 755, 749, 747, 744, 752, 
##     752, 768, 775, 792, 797, 808, 793, 778, 727, 615, 580, 220, 
##     205, 180, 202, 223, 223, 267, 307, 353, 455, 567, 616, 745, 
##     776, 866, 876, 884, 797, 768, 715, 720, 705, 715, 767, 802, 
##     816, 836, 840, 725, 427, 366, 366, 300, 271, 271, 271, 257, 
##     264, 303, 474, 560, 800, 821, 833, 860, 892, 881, 833, 824, 
##     813, 801, 782, 780, 749, 740, 723, 720, 728, 735, 761, 785, 
##     815, 828, 852, 844, 843, 838, 838, 827, 797, 773, 651, 592, 
##     498, 388, 347, 347, 347, 304, 267, 265, 254, 250, 256, 259, 
##     292, 469, 523, 562, 690, 723, 790, 903, 934, 936, 923, 850, 
##     834, 812, 788, 769, 737, 748, 740, 753, 779, 811, 813, 790, 
##     762, 714, 685, 602, 593, 447, 248, 217, 121, 118, 130, 172, 
##     252, 300, 366, 459, 643, 683, 801, 863, 868, 870, 862, 819, 
##     780, 749, 729, 715, 712, 716, 736, 971, 880, 831, 809, 787, 
##     771, 769, 756, 754, 832, 873, 886, 900, 882, 855, 838, 717, 
##     593, 409, 194, 159, 153, 154, 159, 230, 325, 491, 558, 745, 
##     855, 848, 830, 836, 830, 831, 798, 771, 758, 890, 885, 881, 
##     886, 818, 726, 723, 710, 713, 702, 749, 757, 759, 776, 792, 
##     798, 795, 797, 790, 799, 799, 792, 794, 790, 797, 791, 796, 
##     800, 795, 799, 799, 792, 799, 794, 796, 796, 794, 785, 797, 
##     794, 799, 793, 798, 792, 798, 802, 805, 804, 805, 803, 803, 
##     800, 806, 802, 807, 802, 804, 807, 809, 563, 570, 563, 555, 
##     552, 554, 557, 551, 572, 595, 601, 598, 591, 534, 521, 500, 
##     496, 485, 484, 486, 492, 477, 483, 487, 490, 498, 495, 500, 
##     507, 509, 517, 536, 534, 562, 563, 567, 581, 572, 577, 577, 
##     592, 623, 619, 623, 617, 606, 613, 607, 604, 602, 603, 604, 
##     597, 590, 577, 577, 565, 573, 566, 575, 564, 566, 562, 567, 
##     561, 560, 575, 579, 569, 568, 564, 553, 546, 537, 535, 521, 
##     479, 465, 407, 401, 400, 390, 398, 393, 410, 438, 446, 453, 
##     477, 525, 565, 580, 615, 630, 643, 645, 636, 636, 641, 636, 
##     639, 646, 660, 668, 680, 666, 649, 651, 633, 639, 655, 636, 
##     616, 601, 598, 599, 593, 587, 576, 561, 538, 534, 512, 510, 
##     520, 545, 563, 565, 580, 530, 519, 495, 491, 479, 461, 458, 
##     452, 446, 455, 451, 460, 476, 486, 495, 501, 510, 518, 542, 
##     590, 615, 614, 652, 651, 679, 684, 679, 682, 671, 654, 651, 
##     640, 619, 605, 601, 586, 557, 560, 564, 568, 562, 567, 556, 
##     546, 540, 539, 543, 541, 543, 561, 559, 553, 557, 547, 545, 
##     555, 542, 533, 525, 488, 484, 466, 460, 398, 407, 398, 412, 
##     394, 407, 411, 418, 439, 447, 455, 476, 476, 494, 583, 601, 
##     618, 640, 644, 647, 659, 669, 688, 696, 682, 608, 592, 568, 
##     575, 563, 569, 565, 545, 537, 535, 520, 506, 501, 505, 512, 
##     523, 524, 517, 526, 528, 538, 552, 566, 516, 542, 585, 599, 
##     612, 617, 637, 651, 667, 663, 653, 624, 621, 614, 622, 607, 
##     600, 596, 580, 569, 565, 549, 545, 548, 551, 548, 541, 534, 
##     551, 573, 570, 569, 558, 548, 537, 527, 483, 458, 459, 443, 
##     445, 414, 358, 332, 273, 254, 253, 270, 277, 292, 288, 299, 
##     306, 305, 320, 319, 339, 338, 405, 428, 521, 633, 696, 711, 
##     772, 807, 867, 883, 933, 990, 1000, 1020, 977, 894, 855, 
##     828, 768, 736, 731, 729, 709, 704, 685, 672, 643, 638, 625, 
##     574, 572, 584, 595, 596, 608, 619, 618, 618, 624, 634, 624, 
##     626, 632, 639, 646, 638, 647, 645, 630, 639, 612, 599, 607, 
##     592, 577, 564, 560, 539, 523, 512, 511, 506, 501, 488, 487, 
##     455, 466, 454, 446, 447, 442, 433, 419, 424, 425, 407, 410, 
##     401, 396, 401, 421, 421, 438, 517, 539, 615, 644, 651, 664, 
##     693, 696, 686, 690, 677, 669, 616, 601, 590, 525, 493, 383, 
##     323, 236, 209, 152, 82, 20, 16, -16, -42, -44, -65, -68, 
##     -58, -43, -20, -28, -8, 1, 28, 70, 128, 138, 185, 793, 773, 
##     771, 762, 746, 741, 652, 644, 585, 564, 519, 440, 463, 477, 
##     545, 611, 638, 688, 683, 682, 686, 677, 263, 289, 437, 462, 
##     517, 545, 611, 661, 686, 741, 768, 799, 822, 861, 833, 829, 
##     825, 812, 607, 587, 588, 583, 570, 560, 558, 551, 543, 536, 
##     539, 528, 528, 520, 527, 520, 521, 525, 525, 529, 542, 537, 
##     540, 547, 545, 561, 574, 561, 558, 553, 551, 548, 536, 524, 
##     511, 453, 424, 360, 343, 343, 341, 339, 344, 373, 379, 392, 
##     432, 460, 332, 195, 69, -30, -81, -261, -343, -339, -250, 
##     -179, -19, 49, 122, 161, 311, 476, 503, 547, 592, 611, 674, 
##     690, 676, 655, 659, 648, 624, 607, 608, 594, 602, 640, 628, 
##     700, 715, 725, 697, 690, 658, 656, 672, 695, 701, 705, 709, 
##     714, 703, 694, 666, 654, 599, 555, 492, 412, 258, 195, 146, 
##     66, -109, -159, -185, -225, -211, -196, -188, -152, -43, 
##     200, 286, 331, 488, 531, 659, 679, 671, 678, 713, 738, 756, 
##     755, 733, 732, 660, 658, 643, 623, 608, 603, 607, 606, 666, 
##     667, 647, 618, 612, 603, 586, 522, 480, 331, 210, 120, 71, 
##     -22, -104, -159, -283, -267, -235, -28, 6, 87, 167, 214, 
##     434, 468, 552, 624, 645, 614, 603, 604, 664, 707, 726, 735, 
##     716, 628, 617, 619, 611, 614, 616, 629, 724, 723, 735, 735, 
##     737, 733, 729, 726, 713, 712, 694, 646, 626, 607, 613, 611, 
##     620, 635, 658, 664, 659, 640, 697, 663, 652, 662, 692, 700, 
##     720, 704, 658, 649, 625, 602, 595, 600, 597, 608, 628, 634, 
##     647, 650, 670, 659, 661, 647, 638, 606, 591, 585, 550, -21, 
##     -74, -188, -279, -268, -235, -201, -104, 4, 121, 414, 448, 
##     490, 552, 555, 558, 506, -372, -254, -46, 209, 536, 553, 
##     579, 582, 605, 651, 716, 711, 706, 701, 669, 676, 691, 711, 
##     714, 730, 731, 764, 763, 769, 776, 770, 767, 772, 773, 780, 
##     794, 787, 791, 785, 783, 778, 780, 788, 786, 805, 816, 810, 
##     824, 818, 823, 824, 824, 819, 822, 827, 832, 835, 836, 836, 
##     836, 839, 846, 851, 860, 863, 855, 863, 870, 866, 859, 862, 
##     859, 854, 850, 846, 842, 822, 829, 821, 814, 818, 813, 824, 
##     817, 796, 791, 805, 798, 810, 790, 790, 795, 786, 783, 776, 
##     125, 132, 171, 210, 292, 420, 476, 617, 641, 641, 619, 592, 
##     597, 586, 573, 573, 548, 500, 567, 575, 599, 787, 795, 797, 
##     794, 799, 797, 796, 793, 792, 791, 789, 788, 790, 792, 794, 
##     793, 792, 802, 798, 798, 792, 790, 808, 805, 808, 726, 725, 
##     714, 721, 737, 750, 753, 776, 761, 677, 532, 461, 461, 398, 
##     361, 189, 131, 96, 102, 102, 114, 164, 183, 238, 410, 487, 
##     744, 772, 833, 878, 871, 856, 826, 781, 781, 753, 753, 687, 
##     655, 501, 464, 389, 323, 323, 294, 191, 173, 267, 404, 636, 
##     861, 887, 714, 726, 729, 743, 746, 704, 720, 716, 717, 702, 
##     693, 680, 683, 675, 673, 663, 668, 678, 688, 688, 678, 678, 
##     679, 700, 696, 704, 708, 715, 719, -959, -955, -960, -958, 
##     -963, -966, -957, -964, -953, -954, -960, -962, -959, -949, 
##     -964, -966, -957, -966, -948, -953, -960, -962, 127, 121, 
##     83, 78, 53, 47, 55, 108, 106, 114, 71, 64, 42, 22, -8, -55, 
##     -58, -76, -79, -81, -86, -78, -101, -108, 118, 125, 123, 
##     127, 136, 127, 136, 134, 115, 96, 81, 25, -2, -49, -58, -116, 
##     -147, -190, -216, -253, -263, -291, -289, -277, -195, -186, 
##     472, 487, 504, 618, 600, 547, 579, 638, 596, 576, 525, 499, 
##     475, 446, 415, 376, 323, 296, 248, 166, 114, 85, 32, -120, 
##     -207, -261, -326, -367, -376, -380, 626, 574, 467, 412, 386, 
##     310, 137, 78, -49, -97, -140, -215, -238, -161, -136, -49, 
##     14, 56, 137, 471, 530, 650, 661, 660, 676, 682, 687, 688, 
##     665, 546, 526, 371, 341, 288, 206, 87, -162, -218, -216, 
##     -87, -11, 107, 505, 596, 693, 629, 601, 574, 546, 521, 478, 
##     444, 415, 314, 263, 175, 65, 24, -107, -180, -220, -219, 
##     -207, -141, -120, -63, 33, 216, 267, 332, 488, 760, 769, 
##     759, 756, 753, 732, 705, 707, 702, 678, 659, 627, 634, 634, 
##     631, 644, 657, 695, 704, 733, 730, 713, 694, 606, 651, 612, 
##     546, 538, 511, 479, 468, 449, 453, 467, 505, 524, 522, 513, 
##     516, 496, 483, 447, 432, 374, 343, 253, 225, 199, 398, 360, 
##     312, 238, 188, 80, 55, 17, -24, -88, -166, -171, -165, -107, 
##     -89, -58, -39, 66, 148, 242, 280, 502, 585, 606, 638, 660, 
##     667, 522, 746, 759, 763, 683, 645, 608, 571, 551, 548, 552, 
##     551, 561, 581, 602, 619, 658, 641, 615, 552, 485, 568, 602, 
##     596, 590, 580, 568, 560, 558, 527, 459, 233, 192, 154, 82, 
##     60, 1, -53, -78, -117, -167, -251, -286, -266, -259, -177, 
##     -137, -132, -117, -108, 803, 890, 905, 878, 777, 700, 684, 
##     630, 537, 512, 488, 460, 620, 596, 555, 540, 480, 431, 404, 
##     173, 27, 6, -36, -70, -98, -110), .outcome = c(1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
##     3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
##     4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
##     5, 5, 5, 5, 5, 5, 5, 5, 5, 5)), control = list(minsplit = 20, 
##     minbucket = 7, cp = 0, maxcompete = 4, maxsurrogate = 5, 
##     usesurrogate = 2, surrogatestyle = 0, maxdepth = 30, xval = 0))
##   n= 19622 
## 
##           CP nsplit rel error
## 1 0.11515454      0 1.0000000
## 2 0.05998671      1 0.8848455
## 3 0.03567868      4 0.7048853
## 
## Variable importance
##            roll_belt        pitch_forearm         accel_belt_z 
##                   21                   13                   12 
##     total_accel_belt         roll_forearm    magnet_dumbbell_y 
##                   10                    6                    6 
## total_accel_dumbbell     accel_dumbbell_x        magnet_belt_z 
##                    5                    4                    4 
##        magnet_belt_y      accel_forearm_x        roll_dumbbell 
##                    4                    3                    2 
##              yaw_arm         accel_belt_x          yaw_forearm 
##                    2                    2                    2 
##     accel_dumbbell_z      user_namejeremy     accel_dumbbell_y 
##                    2                    2                    1 
## 
## Node number 1: 19622 observations,    complexity param=0.1151545
##   predicted class=A  expected loss=0.7156253  P(node) =1
##     class counts:  5580  3797  3422  3216  3607
##    probabilities: 0.284 0.194 0.174 0.164 0.184 
##   left son=2 (17977 obs) right son=3 (1645 obs)
##   Primary splits:
##       roll_belt        < 130.5    to the left,  improve=1477.9800, (0 missing)
##       pitch_forearm    < -33.95   to the left,  improve=1079.6910, (0 missing)
##       accel_belt_z     < -187.5   to the right, improve= 903.7195, (0 missing)
##       magnet_belt_y    < 555.5    to the right, improve= 857.0219, (0 missing)
##       total_accel_belt < 21.5     to the left,  improve= 742.3537, (0 missing)
##   Surrogate splits:
##       accel_belt_z     < -187.5   to the right, agree=0.967, adj=0.604, (0 split)
##       total_accel_belt < 20.5     to the left,  agree=0.959, adj=0.511, (0 split)
##       magnet_belt_z    < -448.5   to the right, agree=0.935, adj=0.222, (0 split)
##       magnet_belt_y    < 544.5    to the right, agree=0.934, adj=0.215, (0 split)
##       accel_belt_x     < 55.5     to the left,  agree=0.923, adj=0.086, (0 split)
## 
## Node number 2: 17977 observations,    complexity param=0.05998671
##   predicted class=A  expected loss=0.6903822  P(node) =0.9161655
##     class counts:  5566  3797  3422  3216  1976
##    probabilities: 0.310 0.211 0.190 0.179 0.110 
##   left son=4 (1578 obs) right son=5 (16399 obs)
##   Primary splits:
##       pitch_forearm     < -33.95   to the left,  improve=1020.9750, (0 missing)
##       roll_forearm      < 123.5    to the left,  improve= 605.8003, (0 missing)
##       magnet_dumbbell_y < 438.5    to the left,  improve= 575.3839, (0 missing)
##       magnet_arm_x      < -322.5   to the left,  improve= 569.1451, (0 missing)
##       accel_arm_x       < -270.5   to the left,  improve= 553.1091, (0 missing)
##   Surrogate splits:
##       accel_forearm_x      < 220.5    to the right, agree=0.933, adj=0.241, (0 split)
##       accel_dumbbell_x     < -200.5   to the left,  agree=0.931, adj=0.210, (0 split)
##       total_accel_dumbbell < 36.5     to the right, agree=0.930, adj=0.207, (0 split)
##       yaw_arm              < -160.5   to the left,  agree=0.924, adj=0.136, (0 split)
##       accel_dumbbell_z     < -220.5   to the left,  agree=0.923, adj=0.122, (0 split)
## 
## Node number 3: 1645 observations
##   predicted class=E  expected loss=0.008510638  P(node) =0.08383447
##     class counts:    14     0     0     0  1631
##    probabilities: 0.009 0.000 0.000 0.000 0.991 
## 
## Node number 4: 1578 observations
##   predicted class=A  expected loss=0.006337136  P(node) =0.08041994
##     class counts:  1568    10     0     0     0
##    probabilities: 0.994 0.006 0.000 0.000 0.000 
## 
## Node number 5: 16399 observations,    complexity param=0.05998671
##   predicted class=A  expected loss=0.7562046  P(node) =0.8357456
##     class counts:  3998  3787  3422  3216  1976
##    probabilities: 0.244 0.231 0.209 0.196 0.120 
##   left son=10 (13870 obs) right son=11 (2529 obs)
##   Primary splits:
##       magnet_dumbbell_y < 439.5    to the left,  improve=464.6226, (0 missing)
##       yaw_belt          < 169.5    to the right, improve=442.3050, (0 missing)
##       roll_forearm      < 124.5    to the left,  improve=442.0344, (0 missing)
##       roll_dumbbell     < 63.52522 to the left,  improve=392.0902, (0 missing)
##       magnet_dumbbell_z < -93.5    to the left,  improve=379.2359, (0 missing)
##   Surrogate splits:
##       roll_dumbbell        < 81.7374  to the left,  agree=0.898, adj=0.337, (0 split)
##       accel_dumbbell_y     < 195.5    to the left,  agree=0.875, adj=0.187, (0 split)
##       total_accel_dumbbell < 31.5     to the left,  agree=0.855, adj=0.060, (0 split)
##       gyros_dumbbell_y     < 1.21     to the left,  agree=0.854, adj=0.053, (0 split)
##       accel_forearm_x      < -401.5   to the right, agree=0.852, adj=0.038, (0 split)
## 
## Node number 10: 13870 observations,    complexity param=0.05998671
##   predicted class=A  expected loss=0.7175919  P(node) =0.7068596
##     class counts:  3917  2501  3314  2648  1490
##    probabilities: 0.282 0.180 0.239 0.191 0.107 
##   left son=20 (8643 obs) right son=21 (5227 obs)
##   Primary splits:
##       roll_forearm      < 123.5    to the left,  improve=485.1240, (0 missing)
##       yaw_belt          < 169.5    to the right, improve=406.6603, (0 missing)
##       magnet_dumbbell_z < -24.5    to the left,  improve=384.8276, (0 missing)
##       accel_dumbbell_y  < -40.5    to the right, improve=327.8007, (0 missing)
##       roll_arm          < -60.75   to the left,  improve=320.9240, (0 missing)
##   Surrogate splits:
##       total_accel_dumbbell < 21.5     to the left,  agree=0.726, adj=0.272, (0 split)
##       accel_dumbbell_x     < -65.5    to the right, agree=0.723, adj=0.264, (0 split)
##       yaw_forearm          < 64.9     to the left,  agree=0.721, adj=0.260, (0 split)
##       user_namejeremy      < 0.5      to the left,  agree=0.720, adj=0.257, (0 split)
##       roll_belt            < 1.315    to the right, agree=0.719, adj=0.255, (0 split)
## 
## Node number 11: 2529 observations
##   predicted class=B  expected loss=0.4914986  P(node) =0.1288859
##     class counts:    81  1286   108   568   486
##    probabilities: 0.032 0.509 0.043 0.225 0.192 
## 
## Node number 20: 8643 observations
##   predicted class=A  expected loss=0.5936596  P(node) =0.440475
##     class counts:  3512  1571  1587  1449   524
##    probabilities: 0.406 0.182 0.184 0.168 0.061 
## 
## Node number 21: 5227 observations
##   predicted class=C  expected loss=0.6696002  P(node) =0.2663847
##     class counts:   405   930  1727  1199   966
##    probabilities: 0.077 0.178 0.330 0.229 0.185

Plotting decision tree

library(rattle)

## Rattle: A free graphical interface for data mining with R.
## Version 4.0.0 Copyright (c) 2006-2015 Togaware Pty Ltd.
## Type 'rattle()' to shake, rattle, and roll your data.

library(rpart)
fancyRpartPlot(modelFit$finalModel)

Unfortunatel, that model have low accuracy and I rejected it.

Making model based on random forest

summary(training)

##   user_name           roll_belt        pitch_belt          yaw_belt      
##  Length:19622       Min.   :-28.90   Min.   :-55.8000   Min.   :-180.00  
##  Class :character   1st Qu.:  1.10   1st Qu.:  1.7600   1st Qu.: -88.30  
##  Mode  :character   Median :113.00   Median :  5.2800   Median : -13.00  
##                     Mean   : 64.41   Mean   :  0.3053   Mean   : -11.21  
##                     3rd Qu.:123.00   3rd Qu.: 14.9000   3rd Qu.:  12.90  
##                     Max.   :162.00   Max.   : 60.3000   Max.   : 179.00  
##  total_accel_belt  gyros_belt_x        gyros_belt_y       gyros_belt_z    
##  Min.   : 0.00    Min.   :-1.040000   Min.   :-0.64000   Min.   :-1.4600  
##  1st Qu.: 3.00    1st Qu.:-0.030000   1st Qu.: 0.00000   1st Qu.:-0.2000  
##  Median :17.00    Median : 0.030000   Median : 0.02000   Median :-0.1000  
##  Mean   :11.31    Mean   :-0.005592   Mean   : 0.03959   Mean   :-0.1305  
##  3rd Qu.:18.00    3rd Qu.: 0.110000   3rd Qu.: 0.11000   3rd Qu.:-0.0200  
##  Max.   :29.00    Max.   : 2.220000   Max.   : 0.64000   Max.   : 1.6200  
##   accel_belt_x       accel_belt_y     accel_belt_z     magnet_belt_x  
##  Min.   :-120.000   Min.   :-69.00   Min.   :-275.00   Min.   :-52.0  
##  1st Qu.: -21.000   1st Qu.:  3.00   1st Qu.:-162.00   1st Qu.:  9.0  
##  Median : -15.000   Median : 35.00   Median :-152.00   Median : 35.0  
##  Mean   :  -5.595   Mean   : 30.15   Mean   : -72.59   Mean   : 55.6  
##  3rd Qu.:  -5.000   3rd Qu.: 61.00   3rd Qu.:  27.00   3rd Qu.: 59.0  
##  Max.   :  85.000   Max.   :164.00   Max.   : 105.00   Max.   :485.0  
##  magnet_belt_y   magnet_belt_z       roll_arm         pitch_arm      
##  Min.   :354.0   Min.   :-623.0   Min.   :-180.00   Min.   :-88.800  
##  1st Qu.:581.0   1st Qu.:-375.0   1st Qu.: -31.77   1st Qu.:-25.900  
##  Median :601.0   Median :-320.0   Median :   0.00   Median :  0.000  
##  Mean   :593.7   Mean   :-345.5   Mean   :  17.83   Mean   : -4.612  
##  3rd Qu.:610.0   3rd Qu.:-306.0   3rd Qu.:  77.30   3rd Qu.: 11.200  
##  Max.   :673.0   Max.   : 293.0   Max.   : 180.00   Max.   : 88.500  
##     yaw_arm          total_accel_arm  gyros_arm_x        gyros_arm_y     
##  Min.   :-180.0000   Min.   : 1.00   Min.   :-6.37000   Min.   :-3.4400  
##  1st Qu.: -43.1000   1st Qu.:17.00   1st Qu.:-1.33000   1st Qu.:-0.8000  
##  Median :   0.0000   Median :27.00   Median : 0.08000   Median :-0.2400  
##  Mean   :  -0.6188   Mean   :25.51   Mean   : 0.04277   Mean   :-0.2571  
##  3rd Qu.:  45.8750   3rd Qu.:33.00   3rd Qu.: 1.57000   3rd Qu.: 0.1400  
##  Max.   : 180.0000   Max.   :66.00   Max.   : 4.87000   Max.   : 2.8400  
##   gyros_arm_z       accel_arm_x       accel_arm_y      accel_arm_z     
##  Min.   :-2.3300   Min.   :-404.00   Min.   :-318.0   Min.   :-636.00  
##  1st Qu.:-0.0700   1st Qu.:-242.00   1st Qu.: -54.0   1st Qu.:-143.00  
##  Median : 0.2300   Median : -44.00   Median :  14.0   Median : -47.00  
##  Mean   : 0.2695   Mean   : -60.24   Mean   :  32.6   Mean   : -71.25  
##  3rd Qu.: 0.7200   3rd Qu.:  84.00   3rd Qu.: 139.0   3rd Qu.:  23.00  
##  Max.   : 3.0200   Max.   : 437.00   Max.   : 308.0   Max.   : 292.00  
##   magnet_arm_x     magnet_arm_y     magnet_arm_z    roll_dumbbell    
##  Min.   :-584.0   Min.   :-392.0   Min.   :-597.0   Min.   :-153.71  
##  1st Qu.:-300.0   1st Qu.:  -9.0   1st Qu.: 131.2   1st Qu.: -18.49  
##  Median : 289.0   Median : 202.0   Median : 444.0   Median :  48.17  
##  Mean   : 191.7   Mean   : 156.6   Mean   : 306.5   Mean   :  23.84  
##  3rd Qu.: 637.0   3rd Qu.: 323.0   3rd Qu.: 545.0   3rd Qu.:  67.61  
##  Max.   : 782.0   Max.   : 583.0   Max.   : 694.0   Max.   : 153.55  
##  pitch_dumbbell     yaw_dumbbell      total_accel_dumbbell
##  Min.   :-149.59   Min.   :-150.871   Min.   : 0.00       
##  1st Qu.: -40.89   1st Qu.: -77.644   1st Qu.: 4.00       
##  Median : -20.96   Median :  -3.324   Median :10.00       
##  Mean   : -10.78   Mean   :   1.674   Mean   :13.72       
##  3rd Qu.:  17.50   3rd Qu.:  79.643   3rd Qu.:19.00       
##  Max.   : 149.40   Max.   : 154.952   Max.   :58.00       
##  gyros_dumbbell_x    gyros_dumbbell_y   gyros_dumbbell_z 
##  Min.   :-204.0000   Min.   :-2.10000   Min.   : -2.380  
##  1st Qu.:  -0.0300   1st Qu.:-0.14000   1st Qu.: -0.310  
##  Median :   0.1300   Median : 0.03000   Median : -0.130  
##  Mean   :   0.1611   Mean   : 0.04606   Mean   : -0.129  
##  3rd Qu.:   0.3500   3rd Qu.: 0.21000   3rd Qu.:  0.030  
##  Max.   :   2.2200   Max.   :52.00000   Max.   :317.000  
##  accel_dumbbell_x  accel_dumbbell_y  accel_dumbbell_z  magnet_dumbbell_x
##  Min.   :-419.00   Min.   :-189.00   Min.   :-334.00   Min.   :-643.0   
##  1st Qu.: -50.00   1st Qu.:  -8.00   1st Qu.:-142.00   1st Qu.:-535.0   
##  Median :  -8.00   Median :  41.50   Median :  -1.00   Median :-479.0   
##  Mean   : -28.62   Mean   :  52.63   Mean   : -38.32   Mean   :-328.5   
##  3rd Qu.:  11.00   3rd Qu.: 111.00   3rd Qu.:  38.00   3rd Qu.:-304.0   
##  Max.   : 235.00   Max.   : 315.00   Max.   : 318.00   Max.   : 592.0   
##  magnet_dumbbell_y magnet_dumbbell_z  roll_forearm       pitch_forearm   
##  Min.   :-3600     Min.   :-262.00   Min.   :-180.0000   Min.   :-72.50  
##  1st Qu.:  231     1st Qu.: -45.00   1st Qu.:  -0.7375   1st Qu.:  0.00  
##  Median :  311     Median :  13.00   Median :  21.7000   Median :  9.24  
##  Mean   :  221     Mean   :  46.05   Mean   :  33.8265   Mean   : 10.71  
##  3rd Qu.:  390     3rd Qu.:  95.00   3rd Qu.: 140.0000   3rd Qu.: 28.40  
##  Max.   :  633     Max.   : 452.00   Max.   : 180.0000   Max.   : 89.80  
##   yaw_forearm      total_accel_forearm gyros_forearm_x  
##  Min.   :-180.00   Min.   :  0.00      Min.   :-22.000  
##  1st Qu.: -68.60   1st Qu.: 29.00      1st Qu.: -0.220  
##  Median :   0.00   Median : 36.00      Median :  0.050  
##  Mean   :  19.21   Mean   : 34.72      Mean   :  0.158  
##  3rd Qu.: 110.00   3rd Qu.: 41.00      3rd Qu.:  0.560  
##  Max.   : 180.00   Max.   :108.00      Max.   :  3.970  
##  gyros_forearm_y     gyros_forearm_z    accel_forearm_x   accel_forearm_y 
##  Min.   : -7.02000   Min.   : -8.0900   Min.   :-498.00   Min.   :-632.0  
##  1st Qu.: -1.46000   1st Qu.: -0.1800   1st Qu.:-178.00   1st Qu.:  57.0  
##  Median :  0.03000   Median :  0.0800   Median : -57.00   Median : 201.0  
##  Mean   :  0.07517   Mean   :  0.1512   Mean   : -61.65   Mean   : 163.7  
##  3rd Qu.:  1.62000   3rd Qu.:  0.4900   3rd Qu.:  76.00   3rd Qu.: 312.0  
##  Max.   :311.00000   Max.   :231.0000   Max.   : 477.00   Max.   : 923.0  
##  accel_forearm_z   magnet_forearm_x  magnet_forearm_y magnet_forearm_z
##  Min.   :-446.00   Min.   :-1280.0   Min.   :-896.0   Min.   :-973.0  
##  1st Qu.:-182.00   1st Qu.: -616.0   1st Qu.:   2.0   1st Qu.: 191.0  
##  Median : -39.00   Median : -378.0   Median : 591.0   Median : 511.0  
##  Mean   : -55.29   Mean   : -312.6   Mean   : 380.1   Mean   : 393.6  
##  3rd Qu.:  26.00   3rd Qu.:  -73.0   3rd Qu.: 737.0   3rd Qu.: 653.0  
##  Max.   : 291.00   Max.   :  672.0   Max.   :1480.0   Max.   :1090.0  
##    .outcome        
##  Length:19622      
##  Class :character  
##  Mode  :character  
##                    
##                    
## 

set.seed(2128506)
#modelFit <- train(classe ~., method='rf', data=training, trControl=trainControl(method='cv', number=10))
print(modelFit)

## CART 
## 
## 19622 samples
##    53 predictors
##     5 classes: 'A', 'B', 'C', 'D', 'E' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 17660, 17660, 17659, 17661, 17661, 17659, ... 
## Resampling results across tuning parameters:
## 
##   cp          Accuracy   Kappa       Accuracy SD  Kappa SD  
##   0.03567868  0.5094796  0.35954210  0.01303788   0.01709839
##   0.05998671  0.4551484  0.27386544  0.06083152   0.10221961
##   0.11515454  0.3159714  0.04812443  0.04080180   0.06215005
## 
## Accuracy was used to select the optimal model using  the largest value.
## The final value used for the model was cp = 0.03567868.

Researching feature importance

varImp(modelFit)

## rpart variable importance
## 
##   only 20 most important variables shown (out of 57)
## 
##                     Overall
## pitch_forearm        100.00
## roll_forearm          72.97
## roll_belt             70.36
## magnet_dumbbell_y     49.51
## accel_belt_z          43.02
## magnet_belt_y         40.80
## yaw_belt              40.41
## magnet_dumbbell_z     36.37
## total_accel_belt      35.34
## magnet_arm_x          27.09
## accel_arm_x           26.33
## roll_dumbbell         18.67
## accel_dumbbell_y      15.60
## roll_arm              15.28
## accel_belt_y           0.00
## user_namejeremy        0.00
## pitch_arm              0.00
## gyros_arm_y            0.00
## accel_arm_z            0.00
## total_accel_forearm    0.00

Making predictions based on model

pred <- predict(modelFit, testing)
cat(pred)

## 3 1 3 1 1 3 3 1 1 1 3 3 3 1 3 1 1 1 1 3

Saveing submissions

pml_write_files <- function(x){
    n <- length(x)
    for (i in 1:n){
        filename <- paste0('problem_id_', i, '.txt')
        write.table(x[i], file=filename, quote=FALSE, row.names=FALSE, col.names=FALSE)
    }
}

pml_write_files(pred)